diff --git "a/data/dm_maths/full_data_2/1098_11255.jsonl" "b/data/dm_maths/full_data_2/1098_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1098_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express (-326*g + 325*g - 571 - 843)*((3 - 2 - 4)*(-3*g + 4*g + g) - 2*g + 1 - 1) in the form h*g**2 + i + w*g and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/9, 0.059 in ascending order.\nAnswer: -2\/9, 0.059, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**4\/12 + 149*b**2\/2 + 20*b. Is m(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931 - 8 - (5 - 15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**2 + 456*k - 180.\nAnswer: -3*(k - 30)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (28 + (-74424)\/2660)\/((-3)\/(-15))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 5*i - 7. What is j(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87370.4 litres to millilitres.\nAnswer: 87370400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 - 26694*d - 187005 = 0. Calculate d.\nAnswer: -7, 8905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -57*x + 55*x, 12 = -2*s - x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, k: 2, w: 2, u: 4}. Give prob of picking 3 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 24*i**3 + 11*i**2 + 10*i - 11. Let l(w) = -w - 6. Let g be l(-8). Let n(j) = -5*j**3 - 2*j**2 - 2*j + 2. Give g*h(q) + 11*n(q).\nAnswer: -7*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 17. Let o = -35 - w. Suppose -k + 97 = 5*g + 2*k, -o*g + 65 = -5*k. Calculate the greatest common factor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 2 - 23*l + 0 + 11 - 13.\nAnswer: -l**3 - 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521*d - 514*d - 49 = 0. What is the common denominator of (d*20\/(-70))\/((-126)\/(-16)) and -75\/8?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.2 (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 27, 23, 17, 9, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8) + (-5)\/(-100). Let d = -48 - -98.04. Let k = d + -50. Put k, u, 0.4 in decreasing order.\nAnswer: u, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32211, 63685, 95155, 126621?\nAnswer: 158083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1053) + 0 - (sqrt(1053) + (sqrt(1053) - 6*(sqrt(1053) + 0)))**2 - (-4 + (sqrt(1053)*-1)**2*-5 + 1).\nAnswer: -11584 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296381 is divided by 256.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*l + 141, -a - 3*l + 51 + 80 = 0. Suppose 3*k - u - a = 2*k, 3*u = 2*k - 228. Suppose 6*j - 3*j = k. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -334*b - 11. Let o(s) = 334*s + 7. Give 2*j(g) + 3*o(g).\nAnswer: 334*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 88*c**2 - 173*c - 4. Determine d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0*s + 1 + 0 - s + 0 + s**3. Let w(k) = -2*k**4 - k**3 + k + 2. Let t(n) = w(n) + y(n). Find the first derivative of t(h) wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 91*z + 216. Calculate d(-93).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5)*p)\/p)**(-1\/38)\/((p**(2\/21)\/p*p)\/p*p)**(-4))**50 assuming p is positive.\nAnswer: p**(10225\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:42 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3422.68mm to centimeters.\nAnswer: 342.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 5*f + 1\/3*f**3 - 104 - 3*f**2. Solve d(g) = 0 for g.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577441 - 1154887 + 577446 - 36*d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495419 to the power of 1\/2, to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + ((-4)\/1 - -1). Suppose -y - 15 = -4*j, 0 = 3*j + 4*y - 8*y - v. Let k be 2\/j - (-45)\/10. Let q(t) = -t**3 + 7*t**2 - 8*t + 3. Determine q(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*s - 941 = -261, -3*t - s = -404. Let w = 135 - t. Solve -4*p + w = 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*v + 11, -5*z - 3 = 3*v - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 925 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-162)\/(-15))\/((-3)\/(-15)). Let v be w\/2 - (0 - 3). Let q = v - -26. What is the greatest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1390920012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*c + 17 = 0, -4*r - 9 = -4*c - 5. Factor -3*i**r - 10*i + 9\/2*i**3 - 4.\nAnswer: (i - 2)*(3*i + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/245 and -121\/336.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -54405513?\nAnswer: 54405505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*a, 5*h - 2*a + 3*a = 100. Let x(i) = -h - 10*i - 6*i - 14*i. Let c be x(-7). What is the greatest common factor of 21 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46.475 and -3.56.\nAnswer: 42.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b**2 - 2*b**2 + 3*b**2)*(5 - 2 - 1) - 7*b**2 + 3*b - 3*b)*(2*b - 2*b + b) + 4*b**3 + b**3 + 8*b - 3*b**3.\nAnswer: -9*b**3 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2\/5, 26, 3\/11 in increasing order.\nAnswer: -12, 3\/11, 2\/5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1213*g**2 - 4372*g**2 + 2355*g**2 - 8903*g**2 to the form s + l*g + x*g**2 and give x.\nAnswer: -9707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 527 and -6\/149 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 3 + (-1 - -2). Let x(m) be the first derivative of -2\/3*m**3 - 2*m + 3\/2*m**2 + 1. Give x(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2. Let w(p) = p - 2. Suppose 0 = t + 2 - 6. Suppose t*j - 8 = -0. Let x(d) = d + 1. Let n(s) = j*x(s) + w(s). Determine c(n(m)).\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -4*m**8\/147 + 16*m**7\/735 + 13*m**6\/70 + 17*m**5\/105 + m**4\/21 - 51*m**2. Solve j(v) = 0 for v.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 + 9) - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*h + 18 = 0, u + 4*h - 5*h + 2 = 0. Solve 5*k = u*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - 2 - 4)\/((-247)\/26 + 11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**2 + 1027*u - 8388. Calculate h(8).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001018375012 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14612772.6 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 54. Suppose u = -4*a + 6. Let h = a + 9. Solve 5*y + 2*k - 6*k = -11, -h*y - 3*k + 17 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.53*9.72\nAnswer: -5.1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -281\/69783?\nAnswer: -281\/69783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = -4*g, -2*a - 4*g - 28 = 3*a. Let f(x) = -x + 3. Let r(u) = 2 + 3 - u - 3. Calculate a*f(l) + 6*r(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*s = 0. Which is smaller: s or -2\/191?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 66.3\nAnswer: -66.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**2*o + 43518*i*o - 3275*o wrt i.\nAnswer: -2*i*o + 43518*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3015631?\nAnswer: 113, 26687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*f**5 - 37*f wrt f.\nAnswer: 3260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**5\/5 + 73*m**4\/2 - 1196*m**3\/3 - 787. Find the third derivative of t(h) wrt h.\nAnswer: -24*h + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1386)\/(-120))\/11*210\/(-735)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (26 - (-1 - (46 + -23)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i*j**3*k**2*u**2 - 3*i*j**3*k**2*u - 24*i*j**3*k - 2*i*u**2 + j**3*k - j**3*u**2 - j*u wrt u.\nAnswer: 10*i*j**3*k**2 - 4*i - 2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-22)\/(-67) + (-49 - 12\/(240\/(-940)))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.84791 to two decimal places.\nAnswer: 1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 104749 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/3 + 8785*x**4\/3 + 6432816*x**3 + 6429888*x**2.\nAnswer: x**2*(x + 1)*(x + 4392)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -638*p**2 + 6179*p - 4074. What is the derivative of o(c) wrt c?\nAnswer: -1276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -4\/5*p**5 + 0*p**3 + 4*p + 4*p**2 - 7 - 2*p**4. Determine u so that y(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1909863 + 1909863 + 199955776*t**3 - 199955779*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 626559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*w - w. Let j(t) = t**2 - 15*t - 6. Let a be j(w). Solve -3 = 4*f - x - a, 5*x = -4*f - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z*z*z**(7\/4)*z*z*z)\/(z**(-14)*z**(-7\/6)\/z) assuming z is positive.\nAnswer: z**(191\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -232 - -130. Let x = -101 - u. What is the nearest to -0.1 in -2.1, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0191 + -3.5971. Let d = u + -0.022. Let v = -3.5 - d. Which is the third smallest value? (a) v (b) 2\/57 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716135801.\nAnswer: 773, 926437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w**(-33)*w))*w)\/w**0)**(-4\/7))**(11\/6) assuming w is positive.\nAnswer: w**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12700 is divided by 3157?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 5*u**3 - u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 404.54 - 401.7851. Round d to 2 dps.\nAnswer: 2.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635914042 to the power of 1\/2, to the nearest integer?\nAnswer: 25217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*q**2 + 2 - 279*q**3 + 557*q**3 - 281*q**3 + (2 - 2 - 2*q)*(-q**2 - 2*q**2 + 4*q**2) as y + s*q + j*q**3 + z*q**2 and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -429*a**2*j**3 + 2502*a**2 + 6*a*j**3 + a*j**2 - a*j wrt j.\nAnswer: -2574*a**2 + 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21840.23+0.5\nAnswer: 21840.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286205 divided by -1.\nAnswer: -286205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20142*w**5 + 3*w**3 + 3*w**2 + 2*w + 39720.\nAnswer: -402840*w**3 + 18*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 + 5*u**4\/12 + u**3\/2 - 3*u**2\/2 - 2*u. Let j be g(4). Let i = j - -3. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2156 and ((-1372)\/(-35))\/(9 + 352\/(-40))?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 2*x - 1. Let z(h) = -2*h**2 - h - 1. Let j(l) = l**2. Let r(t) = -3*j(t) - z(t). What is -5*r(i) - 3*u(i)?\nAnswer: -i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(24*340\/1920)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-30))\/(3\/10). What is the third derivative of -12*l**2 - 2*l**5 - 5*l**5 + w*l**2 wrt l?\nAnswer: -420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 1. Let l be n(-4). Suppose l = 4*k - 7. Does 27 divide 200\/2 - (6 - k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 3, t: 1, h: 5}. What is prob of sequence iw?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360019*t + 360014*t = 6*i - 74, 0 = -5*t - 14*i + 106 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Suppose d = 2*k - 4. Let i(p) = p**2 + 3. What is the tens digit of i(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*8\/42*(-3129)\/(-70626)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 1)\/((-6)\/(-132))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 3*x**2 - 5*x - 7. Let v = -34 + 37. Suppose -23 = 3*m - 5*f + 9, v*m + 4 = -2*f. Calculate b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -21 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530666 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119304 is divided by 16903?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 817683 = 5*w - 2*p + 175340, -20 = 5*p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/3915000 and 113\/709006500?\nAnswer: 7090065000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -126*n - 147. Determine k(0).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*a**2 + 26*a**2 - 31*a**2 + 129*a**2 - 34*a**2 - 32*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*c = -37823, -11*r - 25228 = -13*r - 3*c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 155326?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 7, 3\/2, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2755*m + 668*m - 17953 = -9796 - 229379 for m.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = x - 779 + 213, -2*q = 5*x - 2857. What are the prime factors of x?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**2 - 17*d + 15. Determine z(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77248?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 7 = -27. Let y be (2 - v) + (15 - -19). What is the highest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {x: 10, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c + 11. Let s(i) = -11*i - 12. Let p(h) = -6*s(h) - 7*w(h). Let g be p(-2). Suppose g*d + 24 = 7*d. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/25)\/r)\/((r**(-2\/25)\/r)\/r)*(r**(-1\/4))**(-4\/31))**49 assuming r is positive.\nAnswer: r**(1568\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from {g: 3, s: 5, w: 2, q: 3, e: 3}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-45)*25\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 2*t**2 + 2*t + 2. Let s be w(2). Let p = -17 - s. What are the prime factors of 9 - (6 - 3)*p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -b?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 9*t**2 - 7*t + 23. What is the remainder when 60 is divided by j(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1070271773 - -0.1\nAnswer: -1070271772.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52, -152, -252, -352?\n\"Answer: -100*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46055 (base 12) to base 3\nAnswer: 11202002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4e52c (base 15) in base 9?\nAnswer: -422166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -96*l - 227. What is the units digit of q(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19143 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*q**2 - 326*q + 108*q - 178*q + 124*q**2 - 17*q**5 wrt q?\nAnswer: -340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 47*c**2 - 136. Let t(q) = q**2. What is f(t(v))?\nAnswer: 94*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6801730.\nAnswer: 2, 5, 13, 52321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.285 - -1.288334. What is c rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-12)\/(-252)*21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/27)*x**7)\/((((x\/(x**(-28)*x))\/x)\/x*x)\/x**(-9)) assuming x is positive.\nAnswer: x**(-754\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert d2732 (base 16) to base 12.\nAnswer: 356a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 4 + 54)*(2*o + 0*o - 4*o + (0 + 0 - 3*o)*(1 + 4 - 3)).\nAnswer: -584*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - r - 2. Let w be c(-2). Let l(s) = s**2 + 5*s + 6. Calculate the least common multiple of 4 and l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.7 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 - 991*a**2\/3 + 1979*a\/3 - 989\/3.\nAnswer: (a - 989)*(a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082988397.\nAnswer: 131, 8267087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -75?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81721205.5835 + -81742674. Let g = -21473 - x. Let h = -4.6 - g. What is h rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 1 (b) -1\/6 (c) 3 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -28183?\nAnswer: -19728.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*p - 68*p - 30 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1.9 (c) -1564 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2885514.608 to the nearest one hundred.\nAnswer: 2885500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c**2 - 2*c + 1. Let y = 6 + -4. Let g be j(y). Suppose -2*i + g = 5*h, h + 5*i - 2*i - 3 = 0. What is the least common multiple of 10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 3\/2*t**2 + 9*t + 6. Let m(i) = i + 3. What is 7*m(p) - 2*y(p)?\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2364 (base 8) to base 11.\nAnswer: -a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -888, -922, -978, -1056, -1156, -1278?\nAnswer: -1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u + 100. Suppose -k - 16 = 4*f - 5*k, 5*f + 3*k - u = 0. Round f to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 96\/7, 31, -737\/2?\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.5, -2, 0.161, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(120) + sqrt(120)*-1)\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243085571.\nAnswer: 3, 7, 13, 719, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3, -6174\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 18*o**2 + o - 4. Let y(w) = -w**3 - 19*w**2 + 2*w - 3. Calculate -3*k(v) + 4*y(v).\nAnswer: -v**3 - 22*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15990961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*k, 56*n - 58*n + 5*k = -21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let s(r) = -r**2 - 3*r + 2*r**2 - 5*r**p + 2. Let t(z) = -7*z**2 - 5*z + 3. Give -10*s(o) + 6*t(o).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, 0.4, -17, -13 in descending order.\nAnswer: 0.4, -0.5, -5, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g - 9. Let y be u(-4). Suppose -3*r + 3*w - 2*w = -8, -4*w = -5*r + y. Solve 3*x - 5*x = 4*h - 16, r*x = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 123*w + 21. Is d(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - 37*b - 36. Let p(a) = a**2 + 12*a + 12. Let l(t) = -7*p(t) - 2*v(t). Determine l(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -130, -486, -1066, -1870, -2898?\n\"Answer: -112*g**2 - 20*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4185 = -3*h - 3*r, -4*h + 5564 = -3*r - r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 5, 0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 0*z + 280 = 0. Let t be 68\/z + 5\/((-35)\/3). Let o be 12\/(-5) + 2 - t\/(-5). Which is smaller: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/13 + 440*a**3\/13 - 28186*a**2\/13 + 203856*a\/13 - 30240 = 0. What is a?\nAnswer: -273, 4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 90\/(-25)*5\/2. Let c(j) = j**3 + 10*j**2 + 11*j + 8. What is c(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -3, -2\/191?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(5\/20*6). Let p(m) = -20 + 8 + w*m + 12. Let q(o) = 11*o**2. Determine p(q(c)).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4 = -o, 2*w - 3*o = 10 - 31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9858 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7964644 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 13790, 5, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptp when three letters picked without replacement from {t: 1, p: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 56, -24, -4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/170 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1589)\/882 - (-4)\/(-18). Let s = -13\/7 - f. Factor 1\/6 - 1\/6*y**2 + 1\/6*y**3 - s*y.\nAnswer: (y - 1)**2*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/342 and 47\/18*(-78)\/(-117).\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215026179?\nAnswer: 3, 71675393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + 6*2*sqrt(136))\/(sqrt(88)\/(sqrt(11) - (sqrt(11) + sqrt(704)))) + 4 + ((sqrt(612) + 0 + 1)**2 - sqrt(612)) + sqrt(612) + sqrt(612) + 1.\nAnswer: -86*sqrt(17) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*y - 7*y - 1340 = 0, -4*y = 0. What is n rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16553940, -33107884, -49661830, -66215778, -82769728?\n\"Answer: -b**2 - 16553941*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.85087 - -0.02913. Let t = -120 - -206. Let p = t - q. Round p to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjfmv. What is prob of picking 1 v, 1 m, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -0.3, -28, -2, -17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 375 + -283 + 14 + -47\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbpbapppbabb. What is prob of sequence bbpa?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -18*h**3 + h + 1. Let v be k(2). Let x = v + 989\/7. Is 1 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 47 = -11*z, -38*f + z = -36*f - 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/29 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-308)\/66*(-60)\/(-14). Is (1 - (d\/5 - 0))*419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**2. Let x be s(-1). Suppose -6 = 3*p - w, -6*p + p - 4*w = -x. Put p, -3, -4 in ascending order.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 400?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.06 to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7183505 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 574088 + 912. Round k to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -3*p**3\/2 + 3*p**2 + p. Let x(u) = -17*u + 11. Suppose 56 - 1 = -5*j. Determine j*i(t) + 6*x(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)*-4)\/(sqrt(343)*-2))**2 - (2 + sqrt(5)*4 - sqrt(30)\/sqrt(6)*-2)**2.\nAnswer: -8836\/49 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70205.86 nanograms in tonnes?\nAnswer: 0.00000000007020586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1542*r**2 - 696985*r + 452 = 0 for r.\nAnswer: 1\/1542, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, 4, -5, -1, -42, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m**2 - 1. Let u(l) = -13*l**3 - 5*l**2 + 5. Calculate 5*o(a) + u(a).\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 72, 110, 146, 174, 188, 182?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 3\/14*k**4 + 2\/7*k - 4\/35*k**5 - 3\/7*k**2 + 2\/21*k**3 + 1. Find b such that x(b) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -716, -2903, -6554, -11669?\n\"Answer: -732*k**2 + 9*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 24304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -689 - -8951\/13. Is i > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.573 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/147*((-10)\/(-6) + -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -52, -152, -318, -550, -848, -1212, -1642?\n\"Answer: -33*l**2 - l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 12*i - 24. Let z be 2*-3 + 0 - 4. Let o be x(z). Let j = 8 + -14. Sort 4, j, o in increasing order.\nAnswer: j, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a5 + 2?\nAnswer: 8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/40 and 41\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117775, -235550, -353325, -471100?\nAnswer: -588875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = o, -4*o - 2 = i - 3. What is the remainder when (i + -6 + -2)\/(-1) is divided by (7\/(-7))\/(9\/(-45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 285080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmh when three letters picked without replacement from {m: 1, h: 3, t: 1, w: 2, y: 3, r: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 + -637 + (29 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z - 24 = 0. Let s(b) = b**3 - 9*b**2 + 10*b - 7. What is the units digit of s(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.2 (c) 0.3 (d) -4\/5 (e) 0.2338\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96133601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24751044 is divided by 1621.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**27)**(-10)*h**(1\/31)*(h\/(h*h**(-36)*h))\/h*h assuming h is positive.\nAnswer: h**(-7284\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 158*y + 155*y + 26 + 167 = 0, -5 = -g + 6*y for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, x: 4}. Give prob of picking 3 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4206881 to the power of 1\/2, to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 345*l - 85. Let v(p) = -347*p + 87. Let u(d) = 4*n(d) + 5*v(d). What is the derivative of u(y) wrt y?\nAnswer: -355","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009308791715 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1897 and 2072879.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2802, 2913, 3024, 3135, 3246?\n\"Answer: 111*k + 2691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-25)*30\/(-24)*-2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/16 of a day?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 take away -3244.64?\nAnswer: 3224.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 403893, 1615603, 3635121, 6462447?\n\"Answer: 403904*t**2 - 2*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 70. Let d = j + -132. Is (d\/16 + 0)*-4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.5, -4\/5, 3 in ascending order.\nAnswer: -4\/5, -2\/3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/11 + 1152\/198. Let m = 5 - d. Let l(k) = -4. Let c(f) = 5. Let b(x) = 3*c(x) + 4*l(x). Let q(z) = 4*z - 4. Determine m*q(g) + 4*b(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20*j = 44*j - 84. Let o(t) = -t**2 + 8*t - 7. Let k be 2\/(-6) - 25\/(-3). Let l be o(k). Sort -1, 0, j, l in ascending order.\nAnswer: l, -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1 (b) -0.2 (c) 2 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 7*a - 3. Let f = -12 - -7. Is r(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o + y = 68, -6*o + 33 = -13*o - y + 56 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*20\/(-40)*4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -135 + 71 + 13 + -19.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*h + 1 + (-1 - 2 + 4)*(0 + 0 + h) - 16 + 6*h + 16 + (-4 + 0 + 0 + (1 - 3 + 4)*(2 + 0 - 4))*(-3*h + h - 4*h).\nAnswer: 53*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(((sqrt(882) - (sqrt(882) + 4))*-5 - sqrt(882)) + -2) + 4)**2.\nAnswer: -26964*sqrt(2) + 43201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24468619 to the nearest integer?\nAnswer: 4947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 2. Let d be q(-2). Let y(l) = -l**2 + 9*l + 2*l**2 - 4*l. What is the units digit of y(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2189626 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 3339723.7.\nAnswer: 10019171.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 474600 take away -1539.09?\nAnswer: 476139.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.2 - 16. Let o = u + -0.6. Let h = 1 - o. Put 3, 1, h in decreasing order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -111726.2.\nAnswer: -6703.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1269 - 1323 - (2 - 11).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:05 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let g be (-12)\/(-54)*9 + 9*1. What is the remainder when d is divided by (-11)\/(g\/6) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 257, -3.\nAnswer: -3, 2, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -94*s + 475. Let h be l(1). Solve 0 = 4*i - 385 + h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.1. Let h = g + 0. Suppose 1 = s - 3. Put 0, s, h in ascending order.\nAnswer: 0, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2\/5 + 399*g\/5 + 5916\/5 = 0. What is g?\nAnswer: -116, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s. Let f be (0 + 1)*-2 - -4. Let v(x) = -38*x**f + 21*x**2 + 15*x**2. Give h(v(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.0337659, -6, -0.3?\nAnswer: -0.0337659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 9, 26, 51, 84, 125, 174?\n\"Answer: 4*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 0.5, -85.3 in increasing order.\nAnswer: -85.3, -4, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, 0, 1\/14, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**2 + 1577735*a - 34712590 = 0.\nAnswer: -315569, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176 + 314. What is the remainder when w is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - -28. Suppose n + 113 = 4*b. Suppose 0*r + b = 5*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*4*-1*-5 + ((sqrt(57)\/sqrt(3) - sqrt(19)) + 2 + 5)**2.\nAnswer: 49 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/45)\/((-58)\/18)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) - sqrt(36)\/sqrt(2)) + 5.\nAnswer: -2*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -638985.99399679 - -638986. Let s = 0.006 - b. What is s rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*y = -24, 2*i = -43*y + 47*y. What is the closest to i in 12, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538736147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 4*x**2 - x + 2. Let j be s(-4). Let r(a) = a**2 - 1060*a + 7376. Let g be r(7). Solve 3*n - 6 = f - j*f, g*f - 21 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + 1 + -1201 + 1154?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/3, -2, -0.2141, 4 in decreasing order.\nAnswer: 4, -0.1, -0.2141, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.44 in 2, -5, -0.4, -0.1, -959?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*k*l**2 - k*l*t**2 - 9*k*t**2 + 3*l**2*t**2 + l*t wrt l.\nAnswer: 54*k + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-four fifths of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -183, -153, -103, -27?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2499454.26 - -2499423.9599602. Let p = -30.3 - h. Round p to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/5 - 82*v**3\/5 + 604*v**2\/5 - 896*v\/5 = 0 for v.\nAnswer: 0, 2, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-2)\/(6\/2*16\/24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6184545.\nAnswer: 3, 5, 412303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 161 = -361. Put -2\/3, 0.3, b, 4, -14 in decreasing order.\nAnswer: b, 4, 0.3, -2\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 5, -11.\nAnswer: -11, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 104600 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67\/185 + 6\/37. Let k = 671 - 671.0273. Let u = -5.0273 - k. Which is the third biggest value? (a) 0.1 (b) -0.4 (c) u (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2550 + -2022?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 6c?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -22. Suppose 5*d + x - 99 = 27, -4*x - s = -d. Let j = d + -13. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**3 - 5*c + 5. Suppose 0*l - l - 6 = 0. Let n(j) = -7*j**3 + 6*j - 6. Suppose -8 + 3 = h. Calculate h*n(y) + l*r(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121326157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1840501 divided by 13\nAnswer: -141577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5 - (-112)\/(-180). Let m = 1 - 1. Are u and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.38404l to millilitres.\nAnswer: 50384.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001156216 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -2, 33, 7.9?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -68583, -68624, -68691, -68784, -68903, -69048?\n\"Answer: -13*i**2 - 2*i - 68568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10814.\nAnswer: 2, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let o(v) = -18*v - 16*v + 36*v - 72. Give x(o(s)).\nAnswer: 4*s**2 - 288*s + 5184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z**2 - 6*z - 1295. Let l(a) = 15*a**2 + 7*a + 1295. Let k(c) = 6*l(c) + 7*o(c). Let x(m) = m**2. Calculate k(x(r)).\nAnswer: -r**4 - 1295","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 21405618*u**2 - 21405827*u**2 + u.\nAnswer: -209*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let f(n) = -3*n - 34. Let d(z) = f(z) - 5*l(z). Let v be 148\/1184 - 82\/16. Calculate the least common multiple of 74 and d(v).\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43012*o*y**4 + 124*o*y**2 + 22*o + 3303*y**4 - 4*y**2 - 2188*y wrt y?\nAnswer: 1032288*o*y + 79272*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2115.3 - 77.3. What is the second biggest value in v, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -25. Suppose -g + x + r = -8, -5*g + 85 = 5*x. Let m = 10 + -2. Calculate the greatest common divisor of g and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -7. Let x(h) = 3*h - 2. Does 7 divide x(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 3:07 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1, 65, -26 in decreasing order.\nAnswer: 65, 1, -1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 6*p**3 - 4*p**2 + 4*p**2.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-8 - (-434)\/42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 0.5 (b) 1\/16 (c) 149 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 - 0.23. Suppose -73*k = -68*k + 2*o - 12, 3*o - 3 = 0. Let c = -1 - 3. What is the closest to k in l, -1, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -50126*t**3 + 4*t**2 - 13*t + 18. Let l be i(2). Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d)**(-3\/11) assuming d is positive.\nAnswer: d**(12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0674503 micrograms?\nAnswer: 0.0000674503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkx when four letters picked without replacement from xxxxxxkxxkkxx?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z\/(z*z*z**(6\/7)*z*z))\/z))\/z)**14 assuming z is positive.\nAnswer: z**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 4*u + 8, -y - 4*u = -8. Solve -6*f - y = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(5\/4))**(-1\/31)\/(g**(-15))**(-7))**(-16) assuming g is positive.\nAnswer: g**(52116\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47931?\nAnswer: 3, 13, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40218 - 40218 - 6*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.7 - 5.3. Let y = q + 24.9998. What is y rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 + 13*o**5\/60 - 19*o**4\/24 - 9*o**3\/2 + 167*o**2. Determine p(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4807590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1142790, -4571404, -10285750, -18285822, -28571614, -41143120, -56000334, -73143250?\n\"Answer: q**3 - 1142872*q**2 - 5*q + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b**2. Let r(j) be the third derivative of -j**4\/12 + j**2. What is r(o(u))?\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -13\/8, 7\/6, -7, -1?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(-12)\/(-2). Let v = -73 - -154. Calculate the greatest common divisor of f and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 22, 1622, 4, -3.\nAnswer: -3, -2, 4, 5, 22, 1622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*b - 49 = -0*i, 37 = -2*i - 5*b. Let u be 14\/3 + 4\/i. Suppose 32 = u*z - 2*z. Calculate the least common multiple of 8 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85848*v**2 + 122028*v + 3?\nAnswer: -171696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*s + 8*j**3 + 1631*j**2*s + 193011*j*s - 6 wrt j?\nAnswer: -6*j*s + 48*j + 3262*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3539 is divided by 168?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/8925 and 161\/1800.\nAnswer: 214200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (712*r**3 + 191*r**3 - 255*r**3)*(1 - 5 + 2) - 4*r**3 - 2*r**3 - r**3 in the form l*r**2 + z*r + q + b*r**3 and give b.\nAnswer: -1303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 4096.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 + 559. Let p = 309 - c. Which is greater: p or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -28. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -419 + 415. What is the third smallest value in 2\/11, -74, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 - -5 - (8 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015739892 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3555 - 2331. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + s = -3 - 8, 14 = 3*v + 5*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 141 - 171. Let a = 30 + g. Suppose -r - 125 + 384 = a. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**3 + 2*b**4 + 2 + 0*b**3 - 30*b + 31*b in the form f*b**2 + p + d*b**4 + k*b**3 + i*b and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4977 and 567?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*c + 18, -3*c + 2*i + 11 = -2*c. Which is bigger: c or 2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3055.11 + -49\nAnswer: -3104.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (0 + 20)\/(-5)) + 2. Suppose 0 = 5*h - 9*h + p + 2095, -h + d*p + 529 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0752 - 0.0752. Which is the third biggest value? (a) j (b) 4 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*s - 2, -s - 79 = 41*r - 0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1081 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -46, 0 in increasing order.\nAnswer: -46, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-10) + 2\/10. Suppose 3*h = -h + h. Suppose -4*a - 4*f + 36 = -h*a, 2*f = a + 3. Solve v*y - 10 = a*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 1 - (-24 - (-6 - 7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12454 take away -0.024?\nAnswer: -12453.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 + 1?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - w - 78, -4*p + 21*p - 3*p + 192*w - 130 = 9*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49319536 less than -0.071?\nAnswer: -49319536.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-8) + (-5)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x + x + x. Let i(t) = -2*t**2. Calculate i(z(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18718*h - 18726. Determine f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(414\/(-1035))\/((-4)\/(-10)). What is the second smallest value in -5\/6, 2\/3, j, -0.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99273034?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let f(l) = 1008 - l**2 + 57 - 227. Determine f(t(o)).\nAnswer: -4*o**2 + 838","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/7 (b) 37 (c) 2 (d) 0 (e) -1.56\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 10:35 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 10. Let d = 1 - 9. Let l be z(d). Let x = l - 27. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 38 = -2*l + 651, l - 5*q = 304. Suppose -l - 60 = -3*h. What are the prime factors of h?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) 22\/465 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x + 2*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49071881 to the nearest integer?\nAnswer: 7005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 70914.1\nAnswer: -70919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -2\/3 (c) -1\/4 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -416 (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) - (sqrt(637) + -1 - sqrt(637))))*5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k + 42. Let d be z(-3). Is 5 a factor of 30 + d - (-30)\/(-10 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -5 - (-36)\/9. Let l(n) = -n**4 - n**3 + 11*n**2 + n. Let j(h) = h**3 + h. Let p(x) = c*j(x) + 2*l(x). Solve p(b) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1403 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 67*j**2 + 4021*j + 9. Give a(-60).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-18)*-24 - 7. Which is smaller: -17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279 + 281. What is the hundreds digit of (0 - -5 - -5)\/h + 1004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14222 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 29\/(-9) + (-3588)\/(-351).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -31 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*d + d + 5 = 0, -d + 5 = 0. Let y be 22\/8 + i\/(-20). Suppose -j + 0*j + y = 2*w, -j = 5*w. Solve -j = 4*v + 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-4*3905\/(-1210) + 2\/22)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1742 + -1741.997535. Round j to five dps.\nAnswer: 0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1\/((-3)\/273*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218\/2093 - -8\/161. What is the fourth biggest value in 1\/6, 0.2, 3\/4, 3\/8, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*r**4 - 61*r**4 + r - 6*r**2 + 2*r**3 - 1 + 121*r**4 to the form a*r**3 + i*r**4 + v*r + c*r**2 + l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 17 - 1) + 2 - (103 + -106)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2336*s + 608*s + 95040 = 0 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803.4564 litres to millilitres.\nAnswer: 803456.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = 8*t - 268. Let u(p) = 0 + 5 - 12 + t - 25*p**2. Let r(b) = -5*b**2. Determine r(u(v)).\nAnswer: -3125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*g - 63, 5*g + 3310 = 3*d + 3241. Let k = -0.06 - 0.54. What is the nearest to 0 in -4, d, k, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20\/9 + -89\/36. What is the closest to -1 in -1\/2, q, 2\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 16*o**2 - 16*o + 18. Let p be k(15). Put -5, -3, p in decreasing order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -836 >= -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i + 2 + 0*i**3 + 0*i - 7*i**2 - i**3 - 3*i. What is the lowest common multiple of s(-4) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 - 4 - (-17 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*(-192)\/(-24). Let q(z) = -7*z**2 + 5*z - 6 + b*z**2 + 2*z**2. Let c be q(3). Sort 4, c, -2.\nAnswer: -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = -211 + 31. Suppose 8*b + 65 = 3*b. Let p = b - z. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -96 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -20 - (319 - 315)) + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2 - (-26 + 64 + -38)) + 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -874536 - -5?\nAnswer: -874531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 385 = -623. Suppose 4*c + z = 5*n, c - 60 = -2*n + n. What is the greatest common factor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 1272, 2830, 5012, 7818, 11248?\nAnswer: 15302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -2 - -12 - -2. Suppose x = 2*a - 4. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2749800 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1, -5, -3931, 7 in decreasing order.\nAnswer: 7, 0, -1, -3, -5, -3931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.3860628 rounded to one decimal place?\nAnswer: -177.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 2:13 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.3649ml to litres.\nAnswer: 0.0573649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(192) - 5*sqrt(192)*5)\/(sqrt(256)*3)).\nAnswer: 16 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*o + 88*o + 79*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 471*l**2 - 4*l - 120. Let g(t) = -471*t**2 + 4*t + 150. Let u(h) = -4*g(h) - 5*q(h). Solve u(y) = 0 for y.\nAnswer: 0, 4\/471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**4 + 31*k**3 - 61*k**2 + 36*k. Let u(p) = -p**4 + 46*p**3 - 91*p**2 + 54*p. Let x(i) = -8*q(i) + 5*u(i). Solve x(y) = 0 for y.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 9:46 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201711 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-17)\/1785*-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*t - t. Let h(z) be the second derivative of z**7\/2520 + z**6\/144 + z**5\/30 - 2*z**4\/3 - 2*z. Let o(m) be the third derivative of h(m). Give o(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-32 - 6 - (-22 + (-3 - -15))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, 0, -0.3, 2, 14698?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 3*k - 2*k)*(-12 - 18 - 12) in the form g*k + f and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369795 and 162045.\nAnswer: 4155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d + 24. Let o(z) = z**2 - 4*z - 4. Let i be o(-6). Calculate the greatest common divisor of d and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-35))\/(2\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97777099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2133662 divided by -38\nAnswer: 56149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*l**(-1\/13)))\/l*l)\/l)\/l)\/(l*l**(-15)*l*l) assuming l is positive.\nAnswer: l**(144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2. Suppose -28 = 26*o - 22*o. Let k = b - o. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000791 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 42. Let g(x) = 5*x**2 + 41. Let s(n) = -5*g(n) + 6*t(n). Let z(m) = -m**2 + 3*m - 2. Let o be z(2). Is s(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.73 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -115, -104, -89, -70, -47, -20?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 131.482408 to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 8 + 100. Calculate the lowest common multiple of q and (-3 - -1) + (45 - 1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqqm when four letters picked without replacement from {a: 2, d: 1, q: 6, m: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -0. Let n = 118 - 115. Solve -2*t - 6 = u*w, w - n*w = 5*t + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*i - 341, 3*f + 24 = -3*i + 228. Calculate the remainder when 96 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30614116?\nAnswer: 2, 13, 588733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d. Let y(f) = -6*f. Let j(i) = -5*g(i) + 6*y(i). Let k(p) = -68*p + 26*p + 21*p + 23*p. Give k(j(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 2*f**4\/3 - f**3\/3 + 29*f**2 - 3*f - 1. Find the second derivative of k(n) wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 13 = -1. Suppose 3*u - 5*m - 185 = -2*u, -65 = -2*u + 5*m. What is the remainder when u is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmofttaaoo. Give prob of sequence otoo.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, o: 6, h: 2}. Give prob of picking 1 a and 1 o.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4)*((x*x**(-3)*x*x)\/x)\/x)**10)**(-31) assuming x is positive.\nAnswer: x**1550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 2 + -2 + 4. Suppose 0 = d + 5, 3*p + i*d = p. Calculate the lowest common multiple of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*(32\/(-288))\/((-6)\/2808*-8)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 34*p**2 - 133*p - 714. Let t be a(38). Let c(r) = 7*r**3 - 25*r**2 - r + 2. Let b(y) = 11*y**3 - 38*y**2 - 2*y + 3. Give t*c(q) - 5*b(q).\nAnswer: q**3 - 10*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 4 - -2) + -1. Suppose -17 + 1 = -4*m - 4*u, c*m - 2*u - 7 = 0. Suppose 2*y - 4*y = 3*x + m, -5*y + 12 = x. Sort 5, x, 1 in decreasing order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 + 8*r**4 - 10*r**3 + 4*r**2 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 - 2*w**2 + 3*w**2 + (-35*w**2 + 12*w**2 - 19*w**2)*(4 + 2 - 22).\nAnswer: 673*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 29583.\nAnswer: 29579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309857180?\nAnswer: 2, 5, 15492859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/5 (b) 0.2 (c) -0.099 (d) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 960 (base 16) to base 4.\nAnswer: 211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 - 56*r - 222. What is the units digit of a(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*f - 120*f + 2*b = -34162, -2*f - 2*b + 13676 = 0. Is f a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 38*b**3\/3 - 6*b**2 - b - 8. What are the prime factors of s(6)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**2 + 2*h**2 - 2*h**2 + 4*h**2. Let s(v) = 4*v**2 - 7. Determine p(s(i)).\nAnswer: -80*i**4 + 280*i**2 - 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2. Let y(p) = 2*p**2 - 9980*p. What is y(r(l))?\nAnswer: 50*l**4 - 49900*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**3\/3 - 5*q**2\/2 - 3*q - 1. Suppose -m + d = -0 - 3, 0 = 3*m + 3*d - 27. What is the units digit of a(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p + 14 - 14.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 4*a. Let c(h) = h**3 + 5*h. Determine 5*c(l) + 6*d(l).\nAnswer: -l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 5*x - x**2 - 2 - 4*x)*(4 + 3 - 4) as m + s*x + u*x**2 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/(6\/9). Suppose -n - 3 = -k. Suppose 0 = -0*b + 4*b - k. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5\/6, 0, 3\/5, 7302, -6\/19, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -12, -2, 12, 30, 52, 78?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2 + -3 - -10. Suppose u - 3 + 9 = -2*h, 0 = -2*h + u - s. Let t be (12\/189)\/(h\/(-6)). Which is the closest to 1\/3? (a) 1 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/192561054 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 1.8042.\nAnswer: 4.8042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 7027967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i + 8. Let x be q(0). Let t be (-2)\/(-6) + x\/3. Suppose -t*f - 1 = -3*m - 16, 2*f = -4*m + 10. Which is greater: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/6 - 2*k**3\/3 - 2*k**2 + 97*k. Let a(r) = -8*r**2. Determine o(a(u)).\nAnswer: -32*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*2*(-6)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 5*g + 2. Let j be w(-5). Let s(v) = -7 + 7 + v**j. Let h(t) = 3*t. Calculate s(h(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277 - 148. Let p = u - 59. What is the highest common factor of p and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -2*r**3\/3 + 445*r**2 - 888*r - 2625. Find j such that x(j) = 0.\nAnswer: 1, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.04 + 8. Let j = -0.911 + r. What is j rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(171))**2 + 1 + ((-4 + sqrt(171) - sqrt(171)) + 5 + sqrt(171) + sqrt(171) + sqrt(171))**2.\nAnswer: 6*sqrt(19) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 8 = 0. Suppose -h*y + y = 70. What is the tens digit of (y\/(-21))\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 25 + 17. Suppose -3*z + o*z = 9. Suppose -3*b + 2*g + 1 = 0, -z*b - g = -5*b. Put 5, -5, b in descending order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-8))\/((-39)\/(-104)). Let m(d) = 5*d**2 + 6*d + 20. Let s be m(a). What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556.5334533 rounded to 1 dp?\nAnswer: -556.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/((-5850)\/(-120)) - (-2 + 166\/5)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 36569.\nAnswer: 36567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119162 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 times 41.28\nAnswer: 1.98144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10549 + 10438 + 1*-10\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*a + 217545 = 0, 3*h - 13891 = -a + 149282. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 53. Let r = j + -9. Let l = r - -51. What is the nearest to l in 0.5, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q. Suppose 3*o - 5*r - 5 = 5, -5*o - 2*r = 4. Let h(k) be the third derivative of 0 - 1\/60*k**5 + 0*k**3 - 3*k**2 + o*k**4 + 0*k. What is n(h(v))?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + 4 = 2*f, 5*f + 3*v = 24. Solve r + f = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.7 + -8.698173. Round i to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 4*i**4 - 3*i**4 - 3*i - 2002 + 2003 + (-3 + 3 - i)*(1 - i**3 - 1) - 2*i**4 - i**4 + 5*i**4 - i**3 - i**4 + i**3.\nAnswer: 3*i**4 - 2*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 516 = -21*p + 180 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1179 * 88.\nAnswer: 10.3752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 8*k + 12. What is c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 599 or 613?\nAnswer: 599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 8. Let j be r(-8). Suppose j = -10*y + 1011 + 1969. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 3*a**3 - 2*a**3 + (-3*a**2 + 2*a**2 - a**2)*((1 - 1 + 5*a)*(1 + 16 - 4) - a - 1 + 1).\nAnswer: -127*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l**(-2\/5)\/l*l)\/(l*l*l**(-5))*(l*l**(-1)\/l)**(-28) assuming l is positive.\nAnswer: l**(173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*x - 1634 - 354 = -272. Solve -32*s + x = 193 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 (base 9) in base 8?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 66084, 63245, 58514, 51891, 43376, 32969, 20670?\n\"Answer: -946*w**2 - w + 67031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.77 - -0.8. Let z be 55\/66*4\/5. Let w be 105\/(-275) + (-2)\/(-10). What is the third biggest value in n, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaoaaiiooooa. What is prob of picking 1 i and 3 o?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, n: 2}. Give prob of sequence ynn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**3 + 2*f**2 - f + 6. Calculate t(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t**3 + 189*t**2 + 54*t + 12. Let j(x) = 60*x**3 + 714*x**2 + 217*x + 47. Let q(c) = -11*g(c) + 3*j(c). Factor q(w).\nAnswer: 3*(w + 1)*(w + 3)*(5*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 8*b**2 - 21*b + 14. Let u be c(10). Solve 4*o = 4*q - 4, 2*q + 6 = u*o - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103679.\nAnswer: 199, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:10 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 52 - 334. What is the derivative of 127 + 0*t**3 - f - 39*t**4 + 0*t**3 wrt t?\nAnswer: -156*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(3 - 1) + -1. Sort u, 0.5, -0.3, 3.\nAnswer: u, -0.3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**5\/12 - w**4\/24 - 7*w**2. What is the second derivative of s(c) wrt c?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 198 + 330. Let s = l + -523. What is the third biggest value in -1, 1\/2, -1\/8, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 98186999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 8*z. Let u be n(-6). Suppose 4*k = 36 - u. Suppose -o + 0 = -k. Solve 3*p + o = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2945 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**3 - 190*b**2 + 156*b + 7. Let j(k) = 666 - 67*k**2 + 78*k - 663 + 37*k**2 + 3*k**3 - 63*k**2. Let i(d) = 3*c(d) - 7*j(d). Factor i(m).\nAnswer: -3*m*(m - 26)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36693251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.627022*5.\nAnswer: 3.13511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16371 greater than or equal to -168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -17. What is the third derivative of 7*v**2 + 2*v**2 - 7*v**o - 5*v**6 + 3*v**6 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*r - 1, -3*x - 4*r = -12 - 1. Suppose -1 = -2*m + x. Suppose -f + 40 = 4*y, 5*f = -y + 2*f + 21. Solve -m = -4*q - 4*l, -2 = -3*q - 5*l + y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 34*b + 148. Give f(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*a**3*p**3*t + 4*a**3*p*t - a*p + p**3*t wrt a.\nAnswer: 174*a*p**3*t + 24*a*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 25758234*h - 55290551566563.\nAnswer: -3*(h - 4293039)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/2 - 4*q**3\/3 + q**2 + 4*q - 48. Factor n(k).\nAnswer: -2*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2507, 2391, 2247, 2069, 1851, 1587?\nAnswer: 1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 3*m**2 + m + 1. Let s be i(-2). Solve -s*o - 2*k = -10, -25 = -o - 4*k - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1682 and -101\/12.\nAnswer: 10092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401 - -577. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 162*l**2 - 4*l - 153*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -687 - -689. Factor -12*d**z - 307*d + 12*d**4 + 157*d + 147*d + 3*d**3.\nAnswer: 3*d*(d - 1)*(d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 36. Let r be c(-12). What is the third derivative of -265 + 46*m**3 + 265 + r*m**2 wrt m?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2. Let q(h) be the second derivative of h**3\/6 + 2*h. Determine r(q(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*w = 2, m - 10*w - 4311 + 4333 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-288)\/(-63))\/((-6)\/(-2)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 48 = -2*p. Let z = 10 - p. Let a be 3 + 2 + (332\/(-44) - z). Sort a, 0.4, -0.1.\nAnswer: a, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 22, 3 in increasing order.\nAnswer: -19, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z + 12. Calculate v(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 40 = -2*l + 4*l, -5913*q - 3*l + 58 = -5912*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 1362.1, 3\/4, 47, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -2.98. What is the closest to -0.09 in 0.2, q, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 261*q + 57226.\nAnswer: -(q - 403)*(q + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*v - 15, 2*v = 3*g - 14. Let f(q) = -q**3 + 4*q**2 + 3*q - 3. Let d(i) = -3*i - 31. Calculate the remainder when d(-21) is divided by f(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-30))\/((-1693)\/76185)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -36, 39, 0, -4\/5, 0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -62530000 rounded to the nearest one million?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -28\/5 - 4\/5*o**3 - 1\/5*o**4 - 4\/5*o + 21\/5*o**2 = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.58405 + 0.58761. Let b = 2 + a. Let o = b + 0.0015. What is o rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*j = 201 + 60. Solve j*a - 6 = 3*i, 2*i = -0*a - 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 20*a + 50 = 0, 143 = 4*v - 2*a + 129 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14302*g - 858 = 14280*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = n - 5*n - 8, g = 3*n. Let c = 4 + 0. Let i = c + -9. Are n and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15898 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - (-11)\/22. Suppose 6*a + 476228 - 111428 = c. Round a to the nearest 1000.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*l = 40, -3*l = 4*f - l + 10. Factor 0 + 4\/5*s**f + 136\/5*s**2 + 1156\/5*s.\nAnswer: 4*s*(s + 17)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*d**3*u - 375*d**2*u**2 - 29705*u**2 with respect to d.\nAnswer: 117*d**2*u - 750*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 23*n**3 + 2*n**5 + n**4 + 20*n**3 + 8*n**2 + 11*n**4 - 25*n**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 + -0.91. Let d(w) = -w**2 - 7*w + 12. Let j be d(-10). Sort 4, u, j in increasing order.\nAnswer: j, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10632067, -21264132, -31896197, -42528262, -53160327?\n\"Answer: -10632065*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 162709, 162622, 162535, 162448?\n\"Answer: -87*z + 162796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 - v + v + 3*v**3 - 3*v**3 - 10*v**4 + (-4*v**3 + 2*v**3 - v**3)*(-v - 26*v - 39*v) to y*v**2 + g*v**3 + d + i*v**4 + a*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000110110100011 (base 2) to base 8.\nAnswer: -306643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*f - 63 + 50 + 88 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*l = -0*r + 27, -3*r - 4*l = -14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/5)*d**6*d**10\/(d\/(d*d**(1\/23))) assuming d is positive.\nAnswer: d**(1914\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12878475*c**2*o**2*y - c*o**2*y - 8*c*y + 2*o**2*y + 192*o**2 + 35*o + 5 wrt c?\nAnswer: -25756950*o**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*y - 2, 2*y + 5 = 4*v - 3. Let u = 8 + -5. What is the smallest common multiple of v and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 27*u**2 + 30*u**2 - 9*u**2. Let v(d) = -15*d**2 + 108*d - 9. Let g(f) = 7*f**2 - 48*f + 4. Let o(m) = -9*g(m) - 4*v(m). What is o(a(c))?\nAnswer: -6912*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/12*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*t + 9008 = 5*h - 54*t, -4*t = h - 1797. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7235850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 13*g. Suppose 0 = 2*q - g - 18. Let w(o) = -o**2. Let r be (-3 - 1) + 2 - 0. Let c(x) = x**3 - 4*x**2 + 1. Determine q*w(f) + r*c(f).\nAnswer: -2*f**3 - f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254285.\nAnswer: 5, 50857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 18*w + 1. What is the tens digit of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.4 - 20.4. What is the smallest value in -2\/9, j, 2\/3, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsu when three letters picked without replacement from sxxsxxxuxsxxsxssxx.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 4454*p + 9919058.\nAnswer: (p - 4454)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-12)\/(-3) - 8). Let p(a) = 2*a**2 - 15*a + 9. Let f be p(m). Suppose -5*z - v = -640, -v - 244 = -f*z + v. What are the prime factors of z?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/99))**(-3\/7) assuming y is positive.\nAnswer: y**(-97\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 913094 by -754.\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from eeeeuu.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 608095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**3 - p**2 - 4*p - 6. Let g(x) = 5*x**3 - x**2 - 3*x - 5. Let d(s) = -5*g(s) + 4*i(s). Suppose -k + 3 = -0. Let v = k - 1. What is d(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r. Let c(t) = 57*t + 6. Let m(x) = x - 2. Let n(j) = -2*c(j) - 6*m(j). What is n(k(o))?\nAnswer: 360*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 20*a**2 + 36*a + 4. Let x be d(18). Let w(u) = u - 7. Let n(h) = -4*h + 28. Let v(s) = 2*n(s) + 9*w(s). Give v(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1 + 3 - 2*x**2 + x - 6 + 0. Let u = 0 - 2. Suppose 3*j + t = -11, 2*j - t + 2 + 2 = 0. Let p(h) = 2*h**2 - h + 3. Give j*d(n) + u*p(n).\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -10, -15, -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32044, 63977, 95898, 127801, 159680, 191529?\nAnswer: 223342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/90*(-15)\/20*10\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 - -10)*4831*2\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6104.53 rounded to the nearest one hundred?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 116\/16 - 15\/12.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30352?\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w + 5*f - 175, -140 = -2*w + 2*f. Let l(s) = -3402*s - 20398. What is the remainder when w is divided by l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 13 = 4*i, -4*z - 12 = -2*i. Let r = -3 + i. Solve 0 = 3*f + 2*m - r, 0 = 3*f - 4*m - 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -9 (b) 3 (c) 2196058 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*n - 2872*n - 1202*n + 939*n.\nAnswer: -3475*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i**2 - 933*i - 214. Let g be p(72). Find z, given that 2\/17*z**g + 80\/17*z + 800\/17 = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72618 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 7a0?\nAnswer: -79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 - 2) - (-10 + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -38. Sort c, -1, 0.2.\nAnswer: c, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 - 240*n**3 - 738*n**2 - 744*n - 249 = 0. What is n?\nAnswer: -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**2. Let p be (10\/35)\/(1\/(-7)*-1). Let r(y) = -15*y - 1 - p - 3 + 7. What is s(r(x))?\nAnswer: 450*x**2 - 60*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 104 = -5*m, -2*g - 3*g - 260 = -2*m. Let b(n) = 4*n**2 + 5*n + 1. Let h be b(-5). Let w = h + g. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t - 29 = 31*t - 29*t + 871 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0180998 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.71 and -10?\nAnswer: 57.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 2:48 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4802, 7, -9, -2, 2, 0 in decreasing order.\nAnswer: 7, 2, 0, -2, -5, -9, -4802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*o - 4*m - 29, m + 55 = 5*o. Which is smaller: o or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -60, -102, -166, -258, -384?\n\"Answer: -u**3 - 2*u**2 - 13*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 1:12 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**6\/120 - d**5\/4 - d**4\/8 - 29*d**3\/6 + 16*d**2 - 35. Calculate f(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -13. Let d = v - -21. Which is the second biggest value? (a) -4 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206374 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q - 8 = 0. Suppose 7*g - 15 = q*g. Let l = 5 + -6. Which is the nearest to l? (a) g (b) 0.1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12655995 and 646019?\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 11*q**2 + 27*q + 3. Let z be h(8). Is 27 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(133) - sqrt(133)*-1*-6)\/(-5*sqrt(7)*-3 - sqrt(7) - sqrt(7)).\nAnswer: -30*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 682429\/3 + -227475. Factor -1\/3*f**2 - k - 4\/3*f.\nAnswer: -(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 25*u**4\/24 - 2545*u**3\/9 + 21505*u**2 + 17340*u - 7825. Factor f(h).\nAnswer: 5*(h - 102)**2*(5*h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 3*j**2 + 3*j - 287. Let c(q) = q**2 + 1. Let n(d) = -5*c(d) - o(d). What are the prime factors of n(0)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 160 and -17.771.\nAnswer: -2843.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -1) + 7 + -7 + 3 - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756201*k + 1756203*k - 2*p + 210 = 0, 5*k - p + 101 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 30*y**2 + 76*y + 406. What are the prime factors of d(-13)?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/22 and 29\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:22 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/9 + 115*s**3\/3 + 30269*s**2\/9 + 9823*s + 6498.\nAnswer: (s + 1)*(s + 2)*(s + 171)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12933.21 * 1.\nAnswer: -12933.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 - -65?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*k + 101*k**3 - 60*k)*(2 - 2 + 2*k)*(3*k - k + k)*(9 + 0 - 2).\nAnswer: 4242*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2\/9*m - 2\/9 - 2\/9*m**5 + 4\/9*m**2 - 2\/9*m**4 + 4\/9*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h. List the prime factors of h + (-1 - -2) - -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 5. Let z be t(10). Let o = z - 9. Is 12 a factor of 10 + o\/3 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3035 + -3034. Which is smaller: 7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lwmm when four letters picked without replacement from llmmlwmlwl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -759*c**2 + 22*c + 380*c**2 + 368*c**2 + 4. Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 464068 and -56557?\nAnswer: 520625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - ((-10896)\/1833 - 2) - -2*(-17)\/(-442).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 - 9*u - 36. Let q be k(6). Calculate the greatest common divisor of 198 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 183*q**3 + 33*q**2 + 331*q**3 - 147*q**3 to t*q + f + v*q**3 + m*q**2 and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -460 - -274. Let s = c - -292. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.3 and 57.\nAnswer: 302.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16667\/2522 < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 3*i**5 - 3*i**2 - 2*i**3 + 2*i**3 + 2*i**5 + (2*i**4 + i**4 - i**4)*(5*i + i - 4*i) + (-5*i + i**3 + 5*i)*(6*i**2 - 4*i**2 - 4*i**2).\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1453759, -1453792, -1453825, -1453858, -1453891, -1453924?\nAnswer: -1453957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.06 and -935921251438.\nAnswer: -935921251444.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 24 - 195*p + 45 to the form d*p + g and give d.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 1 + 5 - 2. Let x be d(-8). Suppose -4*l - 141 = -5*f, 4 = f + l - x. Solve -3*p + 5*r - f = 0, -p + 5 - 12 = -r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*h - 7*r - 23, -5*r = h. Suppose 3*y - b - 109 = b, -b = h*y - 160. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2761 * 60\nAnswer: -165660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1853 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 8 - 5*w + 4*w as o + k*w and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/120 + 7*m**5\/30 + 11*m**3\/6 + 12*m**2. Let a be n(14). Let v(i) = -i**2 + 7*i - 4*i + i - a + 2*i. Give v(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 118207, 236399, 354591, 472783, 590975, 709167?\n\"Answer: 118192*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 375751.\nAnswer: 18787.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -16. Let z = 23 - l. List the prime factors of z\/(-4 - -7) - -59.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.15 * 0.1.\nAnswer: 0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 769 = -762. Let h = 18 + -18.3. What is the biggest value in l, h, -43?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11164 is divided by 447?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 40 = -4*r. Suppose r*k - 5*k = -y + 100, 5*y = -2*k + 71. Let c be (5\/6)\/((-11)\/k). Is -4 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (366\/427)\/(-1 + 880\/882). Let q be v*((-6)\/60)\/(2\/(-5)). Let m = q - -95. Which is the biggest value? (a) 0 (b) m (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5585, 332, 3, 2\/7 in increasing order.\nAnswer: -5585, 2\/7, 3, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -630, -2\/21?\nAnswer: -630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*i + 173*i - 69*i.\nAnswer: 209*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22 - -21)*1)\/((3\/(-4481))\/(-3)). Which is greater: -4483 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -951 + 39*k**2 + 29*k**2 + 2*k + 948 - 48*k**2 as t*k + d*k**2 + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) + sqrt(48)\/sqrt(8)) + sqrt(11) + sqrt(275) + -4 + sqrt(275).\nAnswer: -4 + 23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (161\/(-42))\/(-23)*(-8)\/1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -2 (c) -4084 (d) -131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785 = 32*i - 120*i - 447 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/4 - 27*j**3\/4 - 51*j**2\/4 - 25*j\/4 = 0. What is j?\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + (1*sqrt(468)*-6)**2 + -3 - ((sqrt(52) + sqrt(3328) + -1)*-5*-3)**2.\nAnswer: -931080 + 8106*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -539962.7 * 0.104.\nAnswer: -56156.1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 18*o + 210*b - 207*b - 132 = 0, 5*o - 60 = -3*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**4\/13 + 14*c**3\/13 + 6*c**2\/13 - 14*c\/13 + 4\/13 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + g + 40, -4*g - 5 = -3*g for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 297668 to the power of 1\/2, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*c = -160*c + 380. Calculate the highest common divisor of c and 5092.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1.8, 181?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s + w - 24 = 17*s, 5*s - 3*w + 22 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/48 and -79\/1608.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1072107036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/(-38760))\/(3*((-2)\/10)\/(-1)).\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 10*l - 39. Let j be -2*(2\/9)\/2. Put l, 1\/4, -63, j in decreasing order.\nAnswer: 1\/4, j, l, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {l: 8, j: 4, z: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + -1.9. Which is the third biggest value? (a) k (b) 8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23465881 is divided by 1955485.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (-1 + 20) - -8) + -70\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27163349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43604868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 20*i**2 - 1. Let t be o(-3). Suppose 0*c - c - t = -5*g, g + 5*c - 41 = 0. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 15. What is l(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -203 - -303. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 115382, -1, 2 in decreasing order.\nAnswer: 115382, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2320656?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7134322*k**4 - 34*k**2 + 351*k + 5 wrt k?\nAnswer: -171223728*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 25*g - 16*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldlanadllda. Give prob of sequence al.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = -2*v + 14*v + 3*h, -5*v + 15*h - 23*h = -6*h - 140 for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 2 + 2*j + 6 + 1.\nAnswer: -3*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16325, -32731, -49137, -65543, -81949, -98355?\nAnswer: -114761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 + -96. Let y(l) = l**2 + l + 1. Let v be y(-2). Sort q, -4, v in increasing order.\nAnswer: -4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1936, 10209, 31150, 71095, 136380?\nAnswer: 233341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51773680, 51773678, 51773676, 51773674, 51773672?\nAnswer: 51773670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 + -896\/5. Which is the nearest to 0.1? (a) h (b) 8 (c) -0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148500?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -469\/3*v**4 - 15*v + 3\/2*v**3 + 0 - 4*v**2. Let s be r(8). Round s to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100110101 (base 2) to base 14\nAnswer: -6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 29 = -8*m. Suppose 0*h + 2*k = -m*h + 659, h - 220 = -k. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 33\/5 of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 45, -0.2, 2\/9, 2\/15, 0.3, 3\/16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3557 times -0.0853\nAnswer: 303.4121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:31 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217086, 217560, 218034, 218508?\nAnswer: 218982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 17 + 11 = 5*m, 5*m = -2*d + 16. Solve 4*n + m = n + 4*a, -4*n = -2*a + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*q = -4*a - 75*q + 20, 8 = -2*q. Sort 1, -4, 44, a in increasing order.\nAnswer: -4, 1, a, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9738462?\nAnswer: 2, 3, 1623077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6531*u. Let h(l) = -l**2 - 5404*l. Calculate h(q(f)).\nAnswer: -42653961*f**2 - 35293524*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s**2 + 0*s**2 + 17*s**2 as z*s + d + h*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 133 - 3155 = 0. Calculate the greatest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9557670*z**3 + 8*z**2 - 2*z + 165336.\nAnswer: -57346020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1680*o**2 - 19*o - 14. Let j(x) = 559*x**2 - 7*x - 5. What is -3*h(k) + 8*j(k)?\nAnswer: -568*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 20, -0.5, 0.4, 11.7, 2\/7, 5\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**0*a)\/a)\/a)\/a*a**(-1\/3)*((a*a*a**(-1\/2))\/a)\/((a*(a\/(a*a*(a\/(a**(-3)*a))\/a))\/a)\/a) assuming a is positive.\nAnswer: a**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5. Let s = -12.8783 - 0.1217. What is the closest to -1\/4 in s, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535095 > -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149743*f**3 + 1178*f**2 - 1089925830*f wrt f?\nAnswer: -898458*f + 2356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6741 and 773717.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1436652, 2\/13, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 77 = -7*a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 69?\nAnswer: 5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 11*x**2 + 9*x - 8. Let y be i(-10). Find the third derivative of 0*g**2 - 1 + 4*g**y - 4*g**4 + 1 wrt g.\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-6)*((-9)\/22)\/(7\/(-280)*60).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6094)\/(-4)*(-4)\/(-2)?\nAnswer: 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5621 and 5621?\nAnswer: 5621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/288, -0.1, 81.9, 0 in ascending order.\nAnswer: -0.1, -1\/288, 0, 4, 81.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1692333 is divided by 2192.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*l**3 + 2*l*q - 3*q - 3 wrt l?\nAnswer: 126*l**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*i - 179. Let o = 62 + i. What is the remainder when 80 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 9:09 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/8)\/(-1))\/(2\/1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100010 (base 2) in base 5?\nAnswer: -10423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202 is divided by 276.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 30 (b) 0.3 (c) -2\/7 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 307 = 2*d, -3*d - 2*d = 3*o + 765. Calculate the common denominator of 41\/51 and (26\/d)\/((-7)\/19).\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -96 - -95.57. Let b = 0.429926 + h. Round b to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 637 divided by -8589\nAnswer: -91\/1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 + 267 = 18*m. Solve -14*b = -m*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 1\/8*r**4 + r**2 + 1\/60*r**5 + 0*r + 3 + 1\/6*r**3. Let h(u) be the second derivative of s(u). What is h(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025250683 rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1202?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11803 and 32560?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 4*o. Suppose 0 = 7*q - 3*q + 16. What is the remainder when 30 is divided by i(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**5 + 16*u**4 + 20*u**3 + 8*u**2 = 0. Calculate u.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*n - 115*n - 45*n**2 - 114*n - 126*n + 477*n.\nAnswer: -45*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001786 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.19 + -0.19. Let n = 6.5 - c. What is the nearest to 2\/7 in -4, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + w - 46, -4*h - h - 4*w = -49. Calculate the greatest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 285*c - 8970. Give t(-249).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 48*264\/21 + 4\/7.\nAnswer: 6644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(-1\/5)*(j\/(j*j*j**(1\/6)*j))**16)**(-7\/3) assuming j is positive.\nAnswer: j**(3661\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188 and 402.\nAnswer: 37788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 + 3*q + 1. Let r be u(-2). Suppose x = -2*x + r. Suppose 5*b - x = p - 0*p, -5*b = -4*p - 20. Put b, -5, 5 in descending order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4918*l**3 + 61*l**2 + 21*l**2 + 1 + 178*l**2 + 2*l**4 + 4920*l**3 to i*l**3 + v*l + w*l**2 + u*l**4 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 114698, 114661, 114624, 114587, 114550, 114513?\n\"Answer: -37*w + 114735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 248*z + 50. Let n(f) = 2*f**2 - 494*f + 99. Let c(d) = -3*n(d) + 5*o(d). Differentiate c(a) wrt a.\nAnswer: -2*a + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8616 and 6.\nAnswer: 8616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4503 = -2*n + 5*r + 908, -5*n + 3*r + 13575 = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 3*w**2 + 8*w - 12. Let x = -106 + 101. What is the hundreds digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/6 - (-294865)\/255?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -44, -77, -118, -167, -224?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(33) + -3*sqrt(33)) + sqrt(132)\/(sqrt(12)\/sqrt(3)))\/((2*sqrt(480))\/(sqrt(640) + (sqrt(640) - (sqrt(640) - (2*sqrt(640) + sqrt(640)))))).\nAnswer: 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 2*h - 2*h + (-3*h + 2*h + 3*h)*(37 + 35 + 15) in the form d + y*h and give y.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12866639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40265872 and -4.\nAnswer: -40265876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/7))\/x**10)**(-2\/41)*(x\/x**(1\/2))**(-3)*x**8*x*(x**(2\/27)\/x)\/x assuming x is positive.\nAnswer: x**(93299\/15498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) -0.26 (b) -0.5 (c) 0 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -15*u. Let z(t) = -925*t. What is z(r(p))?\nAnswer: 13875*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -235646 (base 9) in base 5?\nAnswer: -14020304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*3*(-4 + (sqrt(2448) - (sqrt(2448) + (1 + sqrt(2448))*-6)) + -1*sqrt(2448) + 1 + 5).\nAnswer: -4500*sqrt(17) - 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72193*z + 55052?\nAnswer: 72193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 67619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -96*m + 92*m. Solve -2*g - 8 = -3*i, 0*i = -m*i + g + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -614\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 40*x**2 + 444*x + 17215. What is v(-41)?\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2899 - -5935. Suppose c = 11*t - 33*t. Which is bigger: t or -139?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 261*v - 2828. Is q(117) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/3 greater than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79684138?\nAnswer: 2, 19, 1049, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-9 + 10) + -2. Solve 1 = -q + 5*y + 8, 0 = q - 2*y - l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24857 + 5?\nAnswer: 5.24857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167 + -234. Let s = -18 - o. Let a = s + 10. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 636*t**2 + 4721?\nAnswer: 1272*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -21. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3))**(1\/18)\/(k\/k**3*(k\/(k\/k**(15\/8)))\/k))**(-14) assuming k is positive.\nAnswer: k**(-161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 2, 0.5, 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1126 - 235.54\nAnswer: 890.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -112.14526?\nAnswer: -112.44526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 8*y**2 - 3*y. Let r(z) = -5*z - 33*z**2 - 3*z**3 + 0*z**3 + 18*z**2. Let v(a) = -5*q(a) + 3*r(a). Factor v(k).\nAnswer: k**2*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/12 (c) -3 (d) -0.4 (e) 3 (f) 3759\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**3 - 3. Let g(r) = 9*r**3 + 2. Suppose -c = 2, -19*c + 14*c = -5*t. What is t*u(b) - 3*g(b)?\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/((-4)\/((-7)\/((-189)\/36))). What is the closest to -1 in 2\/15, 3, 0.3, b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*d**2 + 1010*d**5 + 2*d - 1010*d**5 + 264*d**2 + 247*d**6 wrt d.\nAnswer: 29640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4\/9, 9, -0.02, -18 in ascending order.\nAnswer: -18, -7, -0.02, 4\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.297 + -14.003. Let s = m + 14. Which is smaller: -0.1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 270 + -178. Suppose -3*s + 13 = -3*n + 2*n, 5*n = 5*s - 15. Suppose -432 + g = -s*o. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/2 - 369*q**4\/2 + 16205*q**3\/2 - 80935*q**2\/2 - 65703*q + 98252 = 0. What is q?\nAnswer: -2, 1, 7, 44, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 118 - 266. List the prime factors of (b\/(-12) + 3)*126\/7.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11112333 + -330?\nAnswer: -11113323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-896)\/(-7))*12\/12*6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308243624?\nAnswer: 2, 3, 54510151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 l, and 1 f when four letters picked without replacement from lpmmmphlmlmllfllm.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) -0.2 (b) 0 (c) -7 (d) -0.74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (2*sqrt(19)*2 - sqrt(19)) - -2*sqrt(2299))**2.\nAnswer: 12844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -157*c**5*u**2 + 2291*c**4 - 3576*c**2*u - 103*c*u**2 wrt c?\nAnswer: -9420*c**2*u**2 + 54984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -102, -0.5, 0, -4599?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121002010 (base 3) to base 16.\nAnswer: -c78f","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*c + 45. Let j(q) = 2*q**2 - 16*q + 4. Let i be j(c). Let z = -9236\/27 - -342. What is the smallest value in -0.4, i, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 420 = -6727. Let w = -35459\/5 + o. Let t = w - 2047\/35. What is the common denominator of t and 37\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1348 = -233. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r + 153*r - 90*r.\nAnswer: 49*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 13. Let i = n + 2. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**6\/10 - m**4\/24 - m**3\/3 + 11*m**2. Is 24 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74768, -74772, -74776, -74780, -74784?\nAnswer: -74788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m + 1 = 0. Let g(x) be the first derivative of 2*x**3\/3 - x**2 - x - 3. Let a be g(m). Solve -d - 20 = a*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 168*r**2. Let c(k) = 6*k. Determine h(c(w)).\nAnswer: 6048*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = -16*z + 1312 + 83. Suppose 12 = y - 63. What is the least common multiple of z and y?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -86*s**2 + 37*s - 3. Let p(g) = -87*g**2 + 38*g - 2. Let n(l) = -2*i(l) + 3*p(l). Find the second derivative of n(c) wrt c.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -480 (b) 1\/2 (c) 0.4 (d) -0.008 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299391 or 299390?\nAnswer: 299391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 30*x + 191. What is n(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34847 is divided by 5213.\nAnswer: 3569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m - 7*m + 21484 = 1240. Calculate the remainder when m is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2402 (base 14) to base 2.\nAnswer: 1100010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*p + 381*p - 3814122 = 0. Is 17822 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8186*k**3 + 1636*k**3 + 1346*k**3 + 1920*k**3 + 1997*k**3.\nAnswer: -1287*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0)**2 + sqrt(108) - (-1*sqrt(243))**2)*5.\nAnswer: -675 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*u + 7, u + 2 = -4*u - 3*g. Let x = -2 + 12. Let r(v) = 1 - 1 - x*v - 1. Calculate r(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374282 = -3*l + 3*y - 374297, 0 = -3*l - 2*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-424)\/3026 - (-92)\/4094?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.3. Let s(n) = -n**2 + 4*n + 14. Let w be s(6). Suppose v = w*h - 8, -4*v = -3*h - 4 + 11. What is the closest to -1 in p, 1, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/(2 + -6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000754215 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -0*w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 38352?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004919183 to five dps.\nAnswer: -0.00492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -179126, -358250, -537374, -716498, -895622, -1074746?\n\"Answer: -179124*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3054 + 3054 + 113*n**2 + (-n + 4*n - 2*n)*(-1 + 2*n + 1).\nAnswer: 115*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d - 140. Suppose 2*x + a - 5*a = -76, -3*x - 99 = -a. Let j = x + 50. What is the smallest common multiple of t(26) and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9963.912 decades?\nAnswer: 996.3912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*(-34)\/(-153)*(-6)\/(-20).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12671 divided by 812\nAnswer: 12671\/812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 36*q - 37*q. Solve -q*d = -15*d - t - 11, 6 = 2*d - 2*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/6 and (-43)\/(-12) - -2 - (-60)\/(-45).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 932220 and 324.\nAnswer: 8389980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68.7 + 49.62. Let d = l - -18. Round d to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**5 - 10946399*n**3*t**3 + 40*n*t**2 + 10*t**3 + 13703*t wrt n?\nAnswer: 80*n**3 - 65678394*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 5:06 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 33. Let r = a - 23. Solve 6 = l + 1, -3*l = -5*c - r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346604932 a multiple of 5482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 2. Let p(b) be the third derivative of b**5\/60 - b**4\/2 + 10*b**3\/3 - 8*b**2. Let x be p(10). Calculate m(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-522)\/63 + (-30)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-405)\/60))\/(1\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 607450 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 4*k - 2*b, 3*k = -3*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -29*y - 34. Let c = -188 + 176. What is the hundreds digit of l(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 477 = 5*c, 16 + 350 = 4*c + 2*g. Suppose 95*y = c*y - 8. Let t(v) = -v**3 - 3*v**2 + v + 1. What is t(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -1\/15*t**5 - 7\/6*t**2 - 5\/12*t**4 - 2\/3*t - 7 - t**3. Factor c(q).\nAnswer: -(q + 1)**3*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 4) to base 15\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 2 (c) -2\/9 (d) 3888 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -916068 greater than -8244620\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5005381 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d - 4*x, -2*x - x - 24 = d. Let b = 22 + d. Let l be (28\/b)\/(3\/30). Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2983 + -2983. Let r(w) be the first derivative of -8\/3*w**3 - 7 + g*w**2 + 0*w - w**4. Factor r(m).\nAnswer: -4*m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 less than 380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**2 - 2*k + 7*k**2 - 6*k**2 + 71*k**4 to u*k**3 + x*k**4 + y + a*k**2 + r*k and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**3 - 26*u**2 + 6*u - 51. Determine i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by -3\nAnswer: 79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 - 6*r + 6. Let o be c(1). Let k be 66\/(-12)*o*-1. Suppose -k*d = -29*d - 704. 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 greatest common divisor of 6097 and 728?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 7:10 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 352402.63 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(-r - r**2 + r) + 4*r**2 + 0*r**2 - 5*r**2 + (3 + 0 + 1)*(-7 + 7 - 2*r**2).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3160777 is divided by 218?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 61*q - 26*q**2 + 2 - 3*q**3 + 8 + 33*q**2. Let g be t(-5). Let z(a) = -3*a + 6. Determine z(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 5. Let u = 78 - 73. Determine c(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 36649*g - 256615. Determine i(7).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30241219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6149012 divided by 326\nAnswer: -18862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 8. Let g be b(10). Suppose f + x = g, -x - 4 + 2 = 3*f. Let z = 7 + f. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6*q - 80 = 10*q, 2*l = 5*q + 77. Solve -8*s = l - 30 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444.85 take away 13264?\nAnswer: -14708.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 4 = -8*j - 4*s, -j - 10 = -4*s. Suppose 132 = -j*f + 420. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32001232220 (base 4) to base 11\nAnswer: -2091725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -35794056213 and -4.\nAnswer: -35794056217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k = -0*k. Suppose -4*h - 186 + 6 = k. What is the common denominator of 83\/18 and 7\/(h\/(-1) - -1)?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 9:46 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/sqrt(396))\/sqrt(6)*-6)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 421*b**3 + 410*b**3 + 1.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 3565 = -13634. What is the greatest common divisor of h and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23638, -46691, -69160, -91045, -112346, -133063?\n\"Answer: 292*g**2 - 23929*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 95893.07 to the nearest 100.\nAnswer: 95900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/(-9))\/((-6)\/18). Let o = t - 4. Solve -3*d + 0*d + 2 = i, -4*d - o = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*r - 7, -14 + 11 = -3*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 3. Let b be (4*6\/(-108))\/((32\/(-36))\/(-8)). Let g(w) = 3. Let l(n) = -7. Let q(f) = 5*g(f) + 2*l(f). What is b*r(o) - 5*q(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/45*(-5)\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7621.062ml to litres.\nAnswer: 7.621062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 + -317?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from fhhzfvffhh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57959 + 57961. Let h(y) = -y**2. Let m(d) = 9*d**2 - 6*d. Let a(f) = -8*f**2 + 5*f. Let j(v) = 7*a(v) + 6*m(v). Calculate n*j(x) - 2*h(x).\nAnswer: -2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -183 + 226 - (6 + 27)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 65, 124, 201, 296?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-3)\/(-6)*(-1)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3*a - 4. Let t be k(4). Suppose -x + t = -2. Solve x*z = 4*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 39 = 6*w. Let s = 2 - w. Suppose 2*j + 7 = s. Which is the biggest value? (a) j (b) -2\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -332*t - 2998. Is n(-14) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2344627 rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.800225. Round f to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = -6. Let c(q) = 2 - 6*q - x + 5*q. Let h(t) = 2*t**2. Determine c(h(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.04, 1\/10, 1752, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 56, 140, 264, 434, 656?\n\"Answer: f**3 + 14*f**2 + 35*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.37 or -3\/125?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.037, -2\/35, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*l + 1401, 2*l - 251 = 3*u + 683. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 - 466 = -4*j. Suppose -5*g + 7 = -w, 0*g + 2*w = 4*g - 2. Factor 211*z**3 - 254*z**3 - 89*z**2 - 205*z**g - 8 - 300*z**3 - j*z.\nAnswer: -(7*z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -182 + 186 - (2*-1 + 6). Factor 2\/15*q**4 + o - 2\/15*q**3 + 2\/15*q - 2\/15*q**2.\nAnswer: 2*q*(q - 1)**2*(q + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + i + 423 = -114, -2*s + 3*i = -351. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2))**(2\/5)\/(w**(2\/7)\/(w*(((w*w\/((w*w**(5\/3))\/w*w))\/w)\/w)\/w))*(w\/(w*w*w**(-2\/9)))\/w*w**3*(w\/(w\/(w*w**(-3)\/w)))\/w*w**(3\/5) assuming w is positive.\nAnswer: w**(-1553\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -15*t - 196. Is t bigger than 122\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y - 241. What is the remainder when s(32) is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9929, -74797, -250927, -593951, -1159501, -2003209, -3180707?\nAnswer: -4747627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-104)\/12*18\/(-4). Let s be (-213 + 0)*(-13)\/a. Let i = -32 + s. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003611243 rounded to 6 decimal places?\nAnswer: -0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 9*l - 36. Let f be 1 - (-3 - (2 + 56)). Suppose -f - 1 = -b. What is the highest common divisor of l and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 25. Let t = d - 12. Let x = -1.88 + -1.12. What is the closest to -1 in t, x, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 2*a + 2, -126 = -o - 2*a - 121 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose -3*u + u + 4*l = i, 2*u = -4*l. Suppose u*k = -k. Solve k*s - s = c - 2, -s - 5*c + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140 + -138. Let i(j) = -39 - 20*j**f + 80 - 63. Let h(u) = -u**2 - 1. Give -44*h(d) + 2*i(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16 and -29\/184?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1789*c - 218*c - 1088 - 919 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001 - -10?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.118 - -7.118. What is the closest to 0.39 in 2\/7, i, -1, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 26*t**2 + 26*t - 17. Let u be v(25). Let x be 2\/u - (7 - (-210)\/(-24)). Suppose -k - x*z + 318 = 3*k, 4*k - 322 = 2*z. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.78 + 0.22. Let o = i - 14.2. Let l = o - -0.2. Which is the closest to -2? (a) l (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -58739?\nAnswer: 7636.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31079880 divided by -107172\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 66*k**2 - 11*k - 11. Let n(m) = -13*m**2 + 2*m + 2. Give 6*a(u) + 33*n(u).\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/8*2\/3. Let q = 4 + -4. Let i be q*-1*1\/(-2). Which is greater: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199181, 199179, 199175, 199169?\nAnswer: 199161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:38 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2220\/(-333) - (2 + -12).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v - v + 1)*(-21611 + 1254*v + 21611).\nAnswer: -2508*v**2 + 1254*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 11*m\/6 - 2.\nAnswer: (m - 1)*(m + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = -185 + 146. Let m(l) = 3*l**2 - 2*l - 9. Calculate m(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 7*h - 1. Let m be d(6). Let l be ((-1278)\/27 - -4)*6\/5. Let j = m + l. What is j rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qccqm. What is prob of picking 2 q and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, v: 4, q: 2}. What is prob of picking 1 q, 1 g, and 1 v?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10962353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/(4\/(-114)). Let z = b - -79\/2. Factor -3\/2*w**2 + z - 3\/2*w + 3\/2*w**3.\nAnswer: 3*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046 * 0.052483.\nAnswer: 0.002414218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10170*k**3 - 10256*k**2 wrt k?\nAnswer: 61020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**2 - j**2 - 2*j**2)*(-1 - 1 + 0) - 5*j**2 + 10*j**2 + 36*j**2 as f*j + q + o*j**2 and give o.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3045*d - 9309. Is v(-15) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 2, h: 1, d: 1, t: 1, x: 1}. Give prob of sequence dxhs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 117116199 a multiple of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnrl when four letters picked without replacement from rqqrlnqlqnrrrlrnln?\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 5*z - 8. Suppose 3*i = 5*i - 16. Suppose -a + 0 = -i. Let w be d(a). Solve -4*b + 4 - w = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61020.91 micrograms?\nAnswer: 0.00006102091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -39*l + 2253. What is the lowest common multiple of 110 and d(57)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/11*16\/40?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2644171.2 * 5.\nAnswer: -13220856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a8e - a?\nAnswer: 4a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, r: 7, d: 1}. Give prob of sequence kdrk.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in 4, 5, 0.203, -5511?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-3) - 1\/3. Let p(d) = 4*d + 52. Let n be p(-2). Suppose -15*h + i*h = -n. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-3) - 11\/33. Let u = -6 + q. What is the units digit of (-1 - -4)*u + 53?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 3\/4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3049?\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 22*a - 60. Give g(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**2)**(-42))**(5\/2))**44)**(-21) assuming l is positive.\nAnswer: l**194040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**8)**(1\/2) assuming n is positive.\nAnswer: n**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -553 + 286 + 285 + 3*a - 8*a to f + u*a and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22263302 (base 7) in base 3?\nAnswer: -10122010122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 3606*z - 1083603.\nAnswer: -3*(z + 601)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -145977 plus 20638?\nAnswer: -125339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h*(h*h**13)\/h)\/h*h)\/(h*h**(-4\/9)*h*h*h))**4 assuming h is positive.\nAnswer: h**(448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -82. Suppose b*k = 14 - 3. What is the greatest common divisor of k and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:40 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -f - 12, 18 = 200*u - 203*u - 3*f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-23159908\nAnswer: 11579954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 3885?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 26*g - 17. Let p(x) = -3*x**2 + 27*x - 15. Let l(h) = -4*f(h) + 3*p(h). List the prime factors of l(16).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 451200 by -300.\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 13 + -6 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzz when three letters picked without replacement from stzzdssds?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 49385.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - sqrt(104)\/(sqrt(4) - (sqrt(4)*-2 + sqrt(4)) - sqrt(4)))\/(sqrt(12)\/(sqrt(150) - sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*b = -50, 13*g - 2*b = 12*g - 2. Let f(a) = 3*a - 9*a + 4*a - g*a. Calculate f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*b + 7*b + 84*b - 9*b)*(2 + 0 + 0) in the form c + j*b and give j.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*x + 139*x - 2662 = -244*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32426 (base 7) to base 11.\nAnswer: 60a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let q be (9\/(-20)*1)\/(26\/(3536\/(-51))). Which is greater: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3485, -10399, -21921, -38051, -58789, -84135, -114089?\n\"Answer: -2304*t**2 - 2*t - 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 36 = 2*c, 30*s + 23 = 31*s + 4*c. Solve 22 = 4*x + s*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (80\/64)\/(3\/(-12)). Which is the nearest to 2? (a) 0.3 (b) 7 (c) h (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + (5 - 6) + (-32 - (-10 - 5)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 959 = -3*p, -3*l + 4*p + 507 = -2*l. Suppose 3*i + u = l, 0*i + 4*i + u - 650 = 0. Suppose 0 = 3*d + 4 - 13, -4*q + i = 5*d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac76 (base 13) to base 5.\nAnswer: -1232340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -673*v. Let w(l) = -l**2. Give n(w(f)).\nAnswer: 673*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191352469?\nAnswer: 7, 11, 29, 67, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 13 - (278 - 16 - 203)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 13, 4, -2 in decreasing order.\nAnswer: 13, 4, -2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 - ((-6)\/(-4))\/(42\/(-89880))?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/43)*x**(-11))\/(x**(8\/7)\/(x*x\/x**(-1\/5)*x*x)) assuming x is positive.\nAnswer: x**(-11884\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y**2 - 50*y + 8. Let x be f(12). Is (1169\/28)\/(4\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 54*m - 96. Let g be a(-25). Put g, 61, -7, 1 in decreasing order.\nAnswer: 61, g, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbm when three letters picked without replacement from {b: 1, h: 3, f: 2, v: 3, m: 3, g: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 6*d**2 - 9*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-2)\/7)\/(198\/231)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 divided by -6?\nAnswer: 359\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352445878?\nAnswer: 2, 929, 189691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/296588901 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1852796 - 5447204. Round w to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 24 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 39.9986. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151005337?\nAnswer: 7, 41, 67, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15 = 0, 2*q + 2*x - 18 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/3 - 781*g\/6 + 579\/2 = 0 for g.\nAnswer: 9\/4, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9818696 is divided by 9818557.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.67362mm to kilometers.\nAnswer: 0.00004267362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942*m - 923*m = 399. What is the greatest common divisor of m and 1085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, k: 6}. Give prob of picking 2 y and 2 k.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Suppose 14 = k + 7. Let n = -62 - -68. Let p(u) = -u. Let a(r) = k*x(r) + n*p(r). Calculate a(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 2 - 5)*(-2*n + 2*n + n) - 4*n + 3*n - 6*n as z + h*n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 2*v**2 + v + 2. Let t be w(-1). Let d(x) = -9*x - 2. What is d(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -39*g**2 - 1 - 14*g + 18*g**2 + 26*g**2 + 10*g**2 = 0.\nAnswer: -1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 183*j**2 - 14 - 20*j**2 - 19*j**2 as q + t*j**2 + n*j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1170704 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 minus 3303111?\nAnswer: -3303397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 565 in descending order.\nAnswer: 565, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109089, 109088, 109087?\nAnswer: 109086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*n, -3*k = 4*n - 8*k. Solve 10 = s - 3*s, n = 4*x - 3*s + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let b(o) = 8*o - 7*o - r + 2. Let g(t) = -4*t + 4. Let v(p) = p**2 - 9*p + 2. Let n be v(9). Determine n*b(u) + g(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**3 - 24*v**2 - v + 2. Let a(q) = -4*q**3 - 25*q**2 - q + 1. Give -7*a(t) + 6*l(t).\nAnswer: -2*t**3 + 31*t**2 + t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1752.1339793 to zero decimal places.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*l + u, 0 = 4*l - 0*u + 4*u + 24. Let t be ((-1)\/l)\/((-1)\/(-57)). Let j = 67 - 29. Calculate the highest common divisor of j and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -83. Suppose -3*n = q - m, -4 + 29 = 5*q. Let u be ((-12)\/(-2))\/(11\/(-4) + n). Which is the biggest value? (a) 0.4 (b) -2\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 10*g. Let m(w) be the first derivative of 13*w**3\/3 + 18. Determine m(l(v)).\nAnswer: 1300*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3020656.\nAnswer: 2, 188791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**0)))**(-1\/6)\/(j**(-3)\/j)**40 assuming j is positive.\nAnswer: j**(959\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1573*c = -1834*c - 9657 for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -2155760.\nAnswer: 43115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 214 (base 14) in base 4?\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2167 minus -7788?\nAnswer: 5621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16665119.1 hours?\nAnswer: 99197.1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28697846, 57395692, 86093538, 114791384?\n\"Answer: 28697846*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdb when three letters picked without replacement from {s: 2, m: 8, b: 1, h: 1, w: 1, d: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8360 = -580*v + 770*v for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872178.\nAnswer: 2, 7, 11, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64366, 128735, 193108, 257485, 321866, 386251, 450640?\nAnswer: 515033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-9))\/(8\/(-162)). Let i = f - 25. Solve -2*v - 5*h = -4*v + 12, 24 = -4*v - i*h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 18. Let f be o(-11). Suppose -2*h - m + 11 = 0, 0*h - h = m - f. Let x = -1287 + 1293. Calculate the least common multiple of h and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = s + 110, -216 = -2*d + 5*s - s. Suppose -d = -7*m + 112. Suppose 215 = q - 2*h, 2*h - 3 = h. What is the remainder when q is divided by m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and 0.481?\nAnswer: 0.10101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.4, -0.2, -621620 in descending order.\nAnswer: 0.5, 0.4, -0.2, -621620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -21. Let o(i) = 3*i + 3. What is o(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*n = 69*n - 135. Let t = -106 - -62. Let b = n + t. Solve 0 = 3*q + b - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/5684 and -109\/1624?\nAnswer: 11368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38)\/114)\/((-11)\/360). What is the second smallest value in m, 14, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90090428*q**4 + 7*q - 269247?\nAnswer: 1081085136*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 - k + 4. Let n be g(0). Suppose 3*r - 6 = -18, n*r = -i. Let p = -6 + i. Solve 4*d - 2*h - 3 + 7 = 0, 5*h = p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*a**2 - 45*a**2 - 11 + 47*a**2)*(3*a**2 - 5*a**2 + 4*a**2) as w*a**4 + j*a**2 + k*a + c + f*a**3 and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 164 + 118. Suppose b*r + 99 = 58*r. Solve 5*s = 2*y + 3, -3*y - r = -0*y - 3*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-11) - (-798)\/33. Let w be 35\/(-10)*s\/(-21). Suppose -w*a + 2*l + 89 = -a, -l = 5*a - 170. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 5\/((-10)\/6). Let i be -22*(z + -4 - 0). Solve 4*n + j - 3*j = i, -n = -5*j - 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3273 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101201102012 (base 3) to base 9\nAnswer: 351365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*k*p**3 - 113*p**3 wrt k.\nAnswer: 66*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000120021220 + -3?\nAnswer: 1000120021211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0)**2 + sqrt(320) + sqrt(320) + -2.\nAnswer: 16*sqrt(5) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -4847\nAnswer: 73\/4847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/9 in 2\/275, 1\/6, 5\/3, -1\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 66, -20 in decreasing order.\nAnswer: 66, 11, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0\/((-88)\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose -p - 5 = l*n, 0 = -p - 3*n - 7 - 3. What is the units digit of ((-12)\/15)\/((-1)\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(252) - sqrt(252)*-2) + sqrt(252) - sqrt(7)) + 2*sqrt(7) + 5)*-6 + 3)**2.\nAnswer: 140400*sqrt(7) + 2533689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-4) + 9\/((-108)\/(-56)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -10*d**3 + 5*d**2 + 21. Let y(p) = -5*p**3 + 3*p**2 + 11. Calculate 3*u(c) - 5*y(c).\nAnswer: -5*c**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 587516832 to the power of 1\/2, to the nearest integer?\nAnswer: 24239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**4 - 3*u**3 + 6*u**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2207 or -2205?\nAnswer: -2207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 88.5. Let q = 410 - 410. What is the closest to q in l, -4\/3, -4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(343)*-2 - (sqrt(343) + (sqrt(343) - sqrt(343)*1) + 0 + sqrt(343) + sqrt(343)) - (-2 + sqrt(343)*2 + sqrt(343) + 3))**2.\nAnswer: -84*sqrt(7) + 12349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 239 and 5769178270?\nAnswer: 5769178031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 - -42.03. Let o = -349808148 + 349808189.9999929. Let f = c - o. Round f to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 352*a - 2324. Determine d(8).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 38*d**2 + 13*d - 1. Let t be r(-1). Suppose n - 4 = 0, -12 + t = 3*i + 3*n. Solve 0*w - 3*w + 2 = u, i = 3*w + 3*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2353)\/(-7) + (-110)\/35 + 3 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2*c - 69 + 23)*(-4 + 6 - 4).\nAnswer: 4*c + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 273, 11, -4, -975 in decreasing order.\nAnswer: 273, 11, 1, -4, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 55 - (-5 - -5 - 15)) + -51?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -522353*u**2. Let h(c) = -2*c. Determine h(y(t)).\nAnswer: 1044706*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*k + 23*k + 56*k to o + p*k and give p.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 73.\nAnswer: -4, -2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18350e (base 15) to base 2.\nAnswer: -100011111000001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from kvvqkkvqgs.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1965*m**3 + 5917*m**3 - 1975*m**3 - 1972*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -1346*i**4 - 69*i**2\/2 - 75*i + 7692. What is the second derivative of w(z) wrt z?\nAnswer: -32304*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 g when three letters picked without replacement from {h: 2, a: 4, g: 6}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 50.2. Let z = r - 15. What is the nearest to -2 in 0.3, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, -0.4, 13, -6, -0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/2*(205\/984)\/(1\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4434 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/30*-1*(4 - 3048\/980) and 71\/70?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-91)\/(-8))*35\/50.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51\/(-7) + 22\/77. Let r = -4 - m. Suppose -r*w = w - 192. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 9*y + 126. Let l = 28 - 22. What is the smallest common multiple of l and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123683 (base 9) in base 13?\nAnswer: 28140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*b + 645*b + 4*u + 2 = 0, 2*b + 4*u - 13 = -5 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107884.9 days in milliseconds?\nAnswer: 9321255360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 + 8 - -8 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(196\/35)\/7. Let u be 20\/40*(2 - d). Solve 2*a - 8 = u*m, -6*a + 2*a + 5*m + 12 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17300517*w + 1356 = -17300404*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 383*c**5\/2 - 10625*c**3\/6 - 6290*c**2. Differentiate t(s) wrt s.\nAnswer: 22980*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/(6\/60696). Let y = j + -1841. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 >= -50254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -29. Let o = -0.3 - -0.6. Which is the nearest to y? (a) 0.5 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.02 - 13.21. Let j = 5 + a. Let f = j - -1.189877. What is f rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + -4 + (0 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 28*h + 2058*h**2 - 10*h - 2060*h**2)*(-5 - 4 - 1).\nAnswer: 20*h**2 - 180*h - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03896 and 1.6707.\nAnswer: 0.065090472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -14. Let c = 24.0000017 + b. Round c to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1827 + -4.1827. Let o = 6 + -6.5. Let h = o + 0.6. What is the smallest value in h, s, -0.01?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00629339 rounded to five dps?\nAnswer: -0.00629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*j + 2, 2*b - 2*j = -2*b + 12. Let x(i) = 276*i**2 + 5*i + 17. Let f be x(7). Is f\/20 - (-1)\/b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x - 27*x + 79*x + 304 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 10452361\nAnswer: 4\/10452361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/10 - 23*p**2\/10 + 16*p\/5 + 1152\/5 = 0. Calculate p.\nAnswer: -16, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1\/2 (c) 2\/1189 (d) -2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 14835, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 17215*t**2.\nAnswer: 17215*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 452*k*m**3 - 376*k wrt m?\nAnswer: 1356*k*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/24 - 138\/(-8). Differentiate f + 11 + 25*m**3 - 19 wrt m.\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from {n: 1, p: 1, y: 3, z: 2, q: 3, m: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, x: 1, j: 1, p: 1, b: 1}. Give prob of picking 1 x, 1 p, 1 b, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (497\/28 + 1)\/((-1)\/(-24)). Suppose 6*l - k = 3*l. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)\/g*g)\/(g**(-22)*g) assuming g is positive.\nAnswer: g**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 116.7502km?\nAnswer: 11675020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 183 - 63 = 0. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 956, 1957, 2956, 3947, 4924, 5881, 6812?\n\"Answer: -p**3 + 5*p**2 + 993*p - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 972561, 972588, 972615, 972642, 972669?\nAnswer: 972696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*g + 111*g - 318*g + 115*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113947 is divided by 262.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180850 and 415955.\nAnswer: 4159550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 643 = 353. Suppose -434 = -5*x + 3*c, 8*c = 3*x + 10*c - t. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1468, -1467, -1464, -1459?\n\"Answer: b**2 - 2*b - 1467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3390*o**3 - 3*o - 3387*o**3 - 3384*o**3 + 13537*o**3 + 3*o - 3373*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 193947404?\nAnswer: 2133421444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 556280946?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -22. Let d(g) = 1 + 5*g - 5*g + 8*g + 0. Let f be d(t). Calculate the greatest common divisor of 187 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5))**18 assuming j is positive.\nAnswer: j**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13735638 divided by 3?\nAnswer: 4578546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 173*k**2 + 5*k - 1. Give f(-1).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**3 + 198*b**2 + 12*b - 386. Let p be a(33). Solve d - p = 332*v - 328*v, 12 = -4*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/7200 and 83\/3300?\nAnswer: 79200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**2 + 24*d - 14*d - 15*d + 2*d**2 wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z + 102 - 158. What is the units digit of (z - 1) + 9 + 146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 1 - (-2 - (20 - 12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/2 + (-104)\/26 - -7.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 6244389?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 6*n**2 + 4*n - 2. Let a be c(-5). Suppose -6*l = -a*l - 39. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 + 141*l**2.\nAnswer: 3*l**2*(l + 188)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let l(o) = -o + 7. Let k be l(5). Let j(p) = -2 + k*p + 2 - 6*p. Determine q(j(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000582451483 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -7 (b) -8 (c) -3\/128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/88440 and -101\/32160.\nAnswer: 353760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736745150 divided by -5.\nAnswer: 147349030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p + 926. Determine c(62).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**6\/180 - r**3 - 3. Let q(c) be the third derivative of o(c). Let h(f) = -2*f**2. Determine h(q(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*k + 354, 2*x - 1396 = -2*x - 3*k. Suppose 3*q - x = -4*u, -q + 76 = 4*u - 34. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-48))\/(2\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -58*l**6\/15 + l**4\/3 - 17*l**3\/6 - 43*l. Find the third derivative of o(p) wrt p.\nAnswer: -2784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975416.\nAnswer: 2, 13, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v**2 + 3 - 3. Let q(s) be the first derivative of s**3\/6 - 25*s - 18. Let n(l) be the first derivative of q(l). Give n(i(p)).\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13569*q**3 - 6314*q**3 - 6465*q**3 + (-3*q**2 + 5*q**2 + q**2)*(-3*q + q + 0*q).\nAnswer: 784*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*v = 20 - 212. Solve -v*m + 41 - 32 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffbbgzay. Give prob of picking 1 a, 1 f, and 2 z.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 21*q = -4. Let x be ((-2 - -4) + q)\/(-3). Suppose -4*o + 114 - 6 = x. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.2. Let l(n) = n**2 - 5*n - 10. Let y be l(7). Let m be -1*1*(-1)\/y. Which is the closest to 2\/7? (a) 3 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(-5)\/(-25)*-130?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 - 1864*s - 11249. Calculate n(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(-2 + 2). Suppose p = 2*h - h - 3. What is the lowest common multiple of 1 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (45\/(-21) + 2)\/(2 - 3). Let r = -633\/5 + 126. Put f, r, -1 in decreasing order.\nAnswer: f, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14888082?\nAnswer: 2, 3, 11, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -41, -62, -91, -128, -173, -226?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - 5) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 301180 and 410700.\nAnswer: 4517700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*a - 1 = -5*i, -4*a - 8 = 0. Let o be (-6)\/4*(i + (-6)\/18). Suppose 0 = -o*y + 10*y - 56. What is the greatest common factor of 21 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/4 + 94\/(-2). Calculate the remainder when 33 is divided by (l\/9)\/((-1)\/3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 57, 139, 239, 357, 493, 647?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10239, -20468, -30691, -40908, -51119?\n\"Answer: 3*j**2 - 10238*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15407352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2*v**5\/25 - v**4 - 2*v**3\/15 + 2*v**2 - 38. Factor f(y).\nAnswer: 2*y*(y - 10)*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 21*v**3 - 27*v**3 - 469*v**2 + 471*v**2 to the form m*v**2 + w + d*v + s*v**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*i - 4*i = -15, 5*q - 25 = -4*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 31*i - 18. Let m(l) = 6*l - 26. Let r be m(4). Let q(v) = -8*v + 5. Let w(h) = r*j(h) - 9*q(h). Let y be w(4). Which is bigger: y or 2\/163?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 4 = 0. Let j = -0.02 + -0.08. Which is the closest to j? (a) p (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 19.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:35 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) - 10\/(-4). Let m be (-8)\/28*-1 - 94525\/(-133). Suppose -c*i + 5*i = m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a day in hours?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(304)) + 1.\nAnswer: 11 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(24)*-1*5 - sqrt(24))\/(sqrt(8) - (sqrt(8) + (sqrt(8) - sqrt(432)\/sqrt(6)))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2. Let r = -31 - -35. Suppose 6 = r*v + 5*b - 1, -4*b = -5*v + 19. Let k(q) = 7*q - v*q - 4*q + 5*q**2. What is n(k(y))?\nAnswer: -100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9572 + 9572. Solve m = 377*k - 389*k - 84 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x + 0*x)*((-1 + 1 - 2)*(0 - 3 + 5) - 2 - 3 + 3 - 3 + 2 + 0 + 5 - 1 - 2 - 3 + 44 + 10)*(3 - 7 + 2).\nAnswer: -184*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8588063*4.\nAnswer: -34352252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6595219 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 8*j**3 + 0 - 3*j**4 - 8*j**3 - j**2 + j - 4*j**3 + 5*j**3 to the form l*j**3 + t*j**2 + u*j**4 + q + h*j and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 + -172. Suppose -o - 12 = -3. Let x be (-33)\/90 + (-6)\/o. Are x and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.3. Let z = -6.4 - -6. Let b = z - -1.4. What is the closest to b in w, 4, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-15)*3*(-402)\/(-8). Let s = i - -200. Which is smaller: -3\/56 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3722 + -3777.9. Let x = -20 - -76. Let u = x + o. What is the nearest to u in 3\/2, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3\/4 (c) -232\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 not equal to 1298\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 0*o**2 + o**2 + 0*o**3 - 2*o**2. Let u be g(1). What is the nearest to u in 5, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347852?\nAnswer: 2, 3, 11, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -24.8.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -24*l. Let f(p) be the third derivative of -3*p**2 + 0*p**3 + 0*p + 0 + 0*p**4 + 1\/60*p**5. Give f(o(k)).\nAnswer: 576*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + ((-4)\/(-7) - (-5568)\/4368). Let j = 4.2 - 4. Which is the closest to 12? (a) j (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Solve x*g + 1 - 11 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 + 102.45. Let f = b - -0.05. Let j = 4.6 + f. Which is bigger: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g + 4. Is (-150)\/(-4) + g\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/80 and 121\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfe when three letters picked without replacement from {k: 1, x: 3, d: 2, u: 1, f: 3, e: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4715*c**2 - 287*c + 287. Let p(a) = -82*a**2 - 5*a + 5. Determine 287*p(h) - 5*u(h).\nAnswer: 41*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -61491.17 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 5*v - 3. Let a be h(3). Suppose 4*m - a*o - 6 = 26, 0 = 2*o. What is the greatest common factor of 40 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 13915.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6740 and 39\/70.\nAnswer: 47180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 - 1771117*j**2 + 12887762*j.\nAnswer: -24*j**2 - 3542234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w + 2. Let d(r) = 3*r - 1. Let j(q) = 2*c(q) + 4*d(q). Let h(p) = 1581*p**2. Calculate h(j(s)).\nAnswer: 6324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s**2 - 2 + 0*s + 4\/3*s**3. Let d(h) = -2*h. Give d(x(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 2024.\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**4\/12 + 5*r**2. Let d(t) = 9*t. Calculate d(h(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microsecond in nanoseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by 31.\nAnswer: -170\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-11 + 10 - -2) + -27).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 4*n**2 - n - 5. What is z(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 10:11 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by -437?\nAnswer: -88\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 + 41*c - 18*c - 11*c - 12*c.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/9)\/((-3)\/(-36)). Suppose 4*h + 132 - o = 0. Let n = h - -48. Solve -6*j - n = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 5. Let v be 4\/6*(0 - -3). What is the highest common divisor of y and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 28*d**2 - 147*d - 18. What is u(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11015480378648 - 15.\nAnswer: 11015480378633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1351 - -10145?\nAnswer: 11540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -7 + -15 - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.4. Let k = t - -0.8. Let q = -1973 + 1975. Which is the biggest value? (a) 0.2 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*u - 8610 + 927 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 41*x - 12. Let m(j) = -j**2 + 7*j + 2. Let q(p) = 11*m(p) + 2*z(p). Calculate q(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 40 - 1016*l**3 + 16.\nAnswer: -1016*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5554, -11115, -16686, -22267?\n\"Answer: -5*x**2 - 5546*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/(-180) - (825860426\/(-2772) + 1). Let j = c + -297933. Let y = j - 65\/22. What is the common denominator of y and 19\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:41 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15740162, 15740229, 15740296, 15740363?\nAnswer: 15740430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.3 - 37.7. Let y = q - -52.2. Let w = -5.19982 + y. What is w rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 744\/(-62)*(-45)\/(-20).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -8*a**2 - a - 1. Calculate the remainder when 44 is divided by w(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-488)\/(-6) - (0 + (-1)\/(-3)). Let n = r - 83. Find the common denominator of n\/(-6)*(-861)\/(-56) and -3\/26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-15 - (-48)\/8)) + 4200\/(-275)?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162 in 0.3, 14, -0.4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q**(2\/31)*q*q)\/q))\/(q*q\/(q*q*q\/q**7)))**(5\/7) assuming q is positive.\nAnswer: q**(-1095\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/24)\/(8768\/282768).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 1\/5, 9, 1, -16\/109?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Suppose 4 + 24 = 7*i. Let w(j) be the second derivative of 0*j**3 + 0*j**2 + 4*j + 0 - 5\/12*j**i. Determine b(w(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/5 or 3\/7?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3934.69126 rounded to the nearest 10?\nAnswer: -3930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 + 137. Suppose i = -2*i + f*i. Solve 3*a + 12 = i, m + a = -0*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560457.\nAnswer: 3, 62273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2. Let h(d) = -10*d + 1402. Determine r(h(u)).\nAnswer: -300*u**2 + 84120*u - 5896812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 511, 861, 907, 499, -513?\n\"Answer: -25*r**3 - 2*r**2 + 531*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1766691261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**2 + 6. Let o(j) = -4*j**2 - 5. Let u(a) = -5*h(a) - 6*o(a). Let y(m) = 34 - 61 + 27 - m. Determine y(u(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Let h = -15.3 - -30.7. Let q = h - 15. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 5*o - 5. Let h(p) = p**2 - p + 1. Let i(n) = -3*h(n) - l(n). Let u be i(-3). Let d(z) = 2*z + 3 + 9*z**2 - 4 - 4*z. Give d(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -0.6 (b) -6 (c) -0.5 (d) -0.2 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from qyxzxyyzxz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 13*y**2 - 11*y - 4. What is the units digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 3\/2, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o**4 - 7299539*o**2 - o - 73190947 wrt o.\nAnswer: 84*o**2 - 14599078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in -3\/8, 0.046, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*f**3 + f**3 + f**4 + 0 to h*f**2 + l + d*f**3 + c*f**4 + t*f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -25599866.47 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1216\/(-418) - 4\/(-10)*25\/4 and 1\/18422?\nAnswer: 202642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42 + 0.12. Let u = -1.3 - l. Which is smaller: u or 11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11977109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1565*l**2 + 8*l - 44066 wrt l.\nAnswer: 3130*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943?\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 138 - 138 + 34*y**2 + 63*y**2 as p*y + f + d*y**2 and give d.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23334431 (base 5) to base 11\nAnswer: 137587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95 - 64. Suppose 8500 = -26*y + q*y. What is y rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 7.08, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -17.7. Let r = -0.9 - n. What is the third biggest value in 1\/2, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 1:05 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 6*x**2 - 6*x - 2. Let i be r(5). Let h = -7 - i. Find the first derivative of -3*b**3 - 2 + 2*b**4 + h*b**4 + 3*b**3 wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b + 2. Suppose -2*f - f - 33 = 5*z, 2*f = 3*z + 35. Let w be y(z). What is the highest common divisor of 30 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -943 (base 10) to base 11.\nAnswer: -788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 + 3*p - 5. Let o be q(3). Let s be (3 - 0)*(21 + -2). Calculate the greatest common factor of o and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + -4 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8473, 6289, 2649, -2447, -8999?\n\"Answer: -728*p**2 + 9201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 3*p**2 + 6*p**2 - p**2 + p**2 - p**2 - 4*p + 4*p - 14*p**2 + 2*p - 2*p + p**2 + (-1 + 1 + p)*(2*p + p - 2*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49851931 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*2 + 0)*-1)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50312.\nAnswer: 2, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**5*p - 4455*n**4*p**3 + n**2*p**2 + 8825*n*p**3 wrt n?\nAnswer: 120*n**2*p - 106920*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 11*q**2 + 2*q + 18. Let y be i(-12). Suppose -4 = -f - r, -5*f + r + 4 + 4 = 0. Suppose 4*z = f*z + y. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*f = f - 8, -4*f + 2 = 5*j. Solve 5*t = j + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(62122\/(-95942) + 6\/11).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -68463227406 and -284.\nAnswer: -68463227690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 345, 344, 343?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-104) - 231\/(-4). Let z = g + -46. Calculate the smallest common multiple of 404 and z.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9)*15\/(-1). Suppose 23 + 49 = 3*c. List the prime factors of ((2 - -1) + -8)*c\/p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-22)*((-16)\/18 + 322\/1449). Let u = -15.5 - -13. Let a = u - -0.5. Sort m, 1, a in ascending order.\nAnswer: a, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 4:01 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3676*l + 1985*l + 16698 = -1944*l for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 2*s**2 - 7*s - 197. Give u(0).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-340)*23\/(-1978)*-215.\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h. Let r(y) = 5107*y**2. Determine r(b(d)).\nAnswer: 617947*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*w + 117400 - 117412, 0 = -10*c - w - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6088?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4859*i - 368. List the prime factors of h(2).\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970335039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:30 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 4*v)*(-480 - 6 + 3)*(v + v + 0*v).\nAnswer: -966*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-6)*(s*s**(1\/13))\/s*(s**(1\/3)\/s)**(3\/23) assuming s is positive.\nAnswer: s**(2090\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/6 - (-6)\/18. Let u(s) = 1 + 12*s - p - 5*s + 1. Let t(q) = -6*q - 527. Let k be t(-87). Let m(d) = -8*d + 5. Calculate k*m(h) - 6*u(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1841215821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 + 0 - 2 + 12089*s - 12089*s.\nAnswer: 10*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1360 - 259. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(24))\/sqrt(8) + (-2 + sqrt(27))*-6 + 2.\nAnswer: -8*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189 - 373. Let i = d + 275. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 7*w + 877*w**2 + w - w.\nAnswer: 877*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23937.0251842 - 23973.0253. Let w = 36 + v. What is w rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.048208563 or -0.6?\nAnswer: 0.048208563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -373046487 + 2?\nAnswer: -373046485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/12 - 10302\/(-4848).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 - 256*u**2 + 126*u - 3969. What is p(-86)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*(5 + sqrt(468) + 0))**2.\nAnswer: 960*sqrt(13) + 7883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/3)*a**(-2) assuming a is positive.\nAnswer: a**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96874988 to the power of 1\/2, to the nearest integer?\nAnswer: 9843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(128) + (sqrt(128) - (sqrt(128)*-1 + sqrt(128)))*1)*-2)**2 + (1*sqrt(128)*4 + -4)**2)*-6 + -3.\nAnswer: -24673 + 1536*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 3\/20858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1943554, -1943553, -1943552?\n\"Answer: v - 1943555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Suppose -4*l + 17 = -r. Suppose -u + 2*v + l = 0, 5 = 3*u - 2*u + 4*v. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2)**(-1\/32))**(3\/4)*(d**(2\/5))**33\/(d\/(d\/d**(-2\/7)))**8 assuming d is positive.\nAnswer: d**(34583\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203 + 30033?\nAnswer: 33302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/15 (b) 3 (c) 4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-10))\/(597\/(-100) + 6). Suppose -k = -7*r + 30. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 241*p - 3372. Let f be g(14). Let v(s) be the third derivative of 0*s - s**f + 0*s**3 + 0 - 7\/108*s**4 + 1\/270*s**5. Factor v(u).\nAnswer: 2*u*(u - 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25520040 divided by -364\nAnswer: 70110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 306.7 - 14.9. Let c = -171.7 + a. Let g = 112 - c. Round g to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9466920.07 + 0.\nAnswer: 9466920.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17043248 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6661, -6, -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 12:35 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2*u**2 + 2. Let t(b) = 5*b**2 - 3*b. Let o(h) = -9*h**2 + 5*h. Let n(i) = 3*o(i) + 5*t(i). Calculate n(d(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1424017 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 6. Suppose -4*c + 10 = 3*f + 2*f, -5*c = -2*f + 4. Put p, c, -0.2 in decreasing order.\nAnswer: c, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*p = -3, -5*q + p = -q - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 84. Suppose -4*x + s = -m, -m + x - 41 = m. Which is bigger: -16 or m?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**3 - 176*u**2 - 4*u + 4. Let f(x) = -11*x**3 - 175*x**2 - 6*x + 6. What is 2*f(j) - 3*l(j)?\nAnswer: 5*j**3 + 178*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -32. Suppose -4*l - m = l - 869, 523 = 3*l - m. What is the units digit of 2\/a + l\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.759 litres in millilitres?\nAnswer: 478759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7*d = 4*b + 4, -3*d + 2*b = -6. What is the highest common factor of 16 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-35.\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7482014*t**2 + 34*t - 159391888 wrt t?\nAnswer: 14964028*t + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaz when three letters picked without replacement from {z: 2, a: 1, n: 2, i: 8}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*(-10 - -22). What is the smallest value in f, 7, -2, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2151, 4651, 7149, 9645?\n\"Answer: -x**2 + 2503*x - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) -3.3 (c) -4.82 (d) -120 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1335)\/178*1\/24*2 and (-1)\/5*1290\/72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 17)\/((-24)\/16) - (0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + p**2)*(3 - 2*p - 3)*(3 + 3 - 3)*(-795 - 318 - 290) in the form l*p**2 + m*p + k + w*p**3 and give w.\nAnswer: 8418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/o**1)\/o*o)\/o*o)**(-18\/5)*(o*o**2)\/((o*o*o**4)\/o))\/((o*(o*o**(-2\/5)*o*o)\/o)**11\/(o**(2\/9)*o**(-7))) assuming o is positive.\nAnswer: o**(-1682\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + -3*sqrt(2736)*1 - (sqrt(2736) + -2*sqrt(2736) - sqrt(2736))*-2)**2 + -2*2*(1 + sqrt(2736)))*-1.\nAnswer: -98492 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utuiiuuiyyiiiiititi. Give prob of sequence tyu.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 10*b + 3)*(8*b**3 - 2 + 0 - 9*b**3) + (-3*b + 3*b + b)*(4 + b**3 - 4) + 0*b**4 - b**4 + 2*b**4.\nAnswer: 12*b**4 + b**3 + 20*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2 - 0)*1. Let q be 1\/(-5*(-2)\/40). Suppose -3*n - 9 = -x, 5*n + 9 = 2*n - q*x. Put y, n, -2 in increasing order.\nAnswer: n, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4728, -4729, -4732, -4737, -4744, -4753?\n\"Answer: -i**2 + 2*i - 4729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + x = -40. Calculate the remainder when 26 is divided by (-3)\/(-1) + (3 - x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 8\/(-3))*(-1 - -7). Let h(a) = a**3 - 12*a**2 + 2*a + 9. Calculate the lowest common multiple of 0 + (-1 - -8) + w and h(12).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-102)*(-9)\/(-3)*2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 + -90. Let d be k\/35 + (-190)\/35. Let l be ((-6)\/(-66))\/(0 + 1). Sort -2, l, d in increasing order.\nAnswer: d, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-9)\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162756?\nAnswer: 2, 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + j + (2*j - 2*j - 2*j)*(-508 + 63 - 1014)*(-4 - 1 + 3)*(4 - 2 + 1).\nAnswer: -17507*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -64. Suppose t = 5*j, -9*j = -c - 8*j - 131. Let a = c - -301. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 + 77*u**2 + 28*u - 53. Suppose 4*k + 24 = 0, -z - 4*k + 9 = 7. Calculate d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 757 - 752. Solve -5*o - c*q = 10, o + q - 6 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -2.\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + o - 200 = 0, -110 + 30 = -2*m - 2*o. Let q = 89 - m. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4787635883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018126625 to 6 dps.\nAnswer: -0.000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -285\/511 + -1\/73. What is the nearest to 2 in 1, f, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 139\/60*u**5 - 32 + 0*u**3 - 61\/40*u**6 + 3*u**2 + 0*u**4 + 0*u. Find the third derivative of g(p) wrt p.\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46099*c**3*f + 2*c**2*f - 2*c*f - 4732*f wrt c?\nAnswer: 276594*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-216)\/(-81) + (-1 - -2) + -3. What is f in y*f**2 + 8\/3*f + 8\/3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 + m**2 - 2. Is 5 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2289405*n - 90 = 2289396*n. Suppose 2*r + 2*r - g = 3, 4*r + 3*g = -9. Solve r = -h - n*h + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. Suppose -3*r = -z + m + 1, 3*r - 12 = -4*z. Suppose 95 = 5*a - 5*k, 0*a + a - 25 = -5*k. Solve r = 2*l + 3*l - a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-204 + 2 - 4). Suppose 0 = 5*f - 3*g + g - r, 0 = g + 2. What is the highest common divisor of f and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3976 - 3981. Let m(r) = -7*r + 3. Let q(a) = -4*a + 0*a + 3*a. Calculate g*q(d) + m(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 411131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216707868.\nAnswer: 2, 3, 13, 61, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -25. Let a(f) = -f**2 - 5*f + 8. Let q be a(-6). What is the units digit of 16 + (i\/3)\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*q + 80. Differentiate -22 - 5 - q + 10*t**3 with respect to t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from bmmmmmmm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3997 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01920302 rounded to 5 decimal places?\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 53*s + 879. Calculate the remainder when t(-27) is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270443 (base 9) in base 7?\nAnswer: 1253160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2 - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52.7 - -53. Which is the nearest to 5? (a) w (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (17 - (6 - -31))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -952 and 23737.\nAnswer: 22785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1406?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.35 + 2.75. What is the nearest to 0 in 4, -10, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312, 424, -568, -3216, -8072?\nAnswer: -15688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/6 and 38\/1035.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**5\/60 - n**4\/8 + 5*n**2\/2 + 4*n. Let r(d) be the first derivative of c(d). Factor r(v).\nAnswer: v*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*b - 3*b = 20, 3*g + 4*b + 16 = 0. Suppose g = 5*j - j + 44. Calculate the smallest common multiple of 10 and -3 - (0 + (j - 1)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 36*z**2 + 75*z + 1. Calculate w(-38).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12757 is divided by 3186?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a\/(((a\/(a*a**(6\/11)*a*a*a))\/a*a*a)\/a))\/a*a)*a)\/((a\/a**(-10\/3))\/a))\/((a\/(a\/a**5*a))\/(a*a**(-4\/17))))**(-30) assuming a is positive.\nAnswer: a**(51130\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 11*t = -40 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/30 - 109*g**4\/4 - 326*g**3\/3 + 2948*g**2. Factor b(z).\nAnswer: -2*(z + 1)*(z + 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2)*x*x**(8\/7)*x*(x**(4\/9)\/x)\/x**(-1))**(-8) assuming x is positive.\nAnswer: x**(-3320\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -56, -105, -168, -251, -360, -501, -680?\n\"Answer: -u**3 + 2*u**2 - 40*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76580?\nAnswer: 2, 5, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3539173*h**2*j**2 - 7200*h**2 + 587*h*j wrt j.\nAnswer: 7078346*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -0.04, -753, -0.3, -0.4?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 13 + 1 + -11 + 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:54 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 13*i - 28. Let b be a(15). Solve 0 = b*o + o - 5*w + 12, -4*w = -5*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.043 + 6.3. Let q = r - -3.43. Round q to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63976797?\nAnswer: 3, 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2 + 1526440*b - 62592445 = 0. Calculate b.\nAnswer: -305329, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*j*p - 13*i*k*p - 2*i*k + 6*i*p + 2*i + 53*j*k*p + 215*j*k + 6*k with respect to j.\nAnswer: -2*i*p + 53*k*p + 215*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - 2.8. Let l = 1.6 + u. Which is the third biggest value? (a) -1\/4 (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 18306838*m**2 - 41892402393158*m + 628390154942670.\nAnswer: -2*(m - 15)*(m + 4576717)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/311 and -31\/10.\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 473502 divided by 6?\nAnswer: 78917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307495, 307504, 307513, 307522, 307531?\nAnswer: 307540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-16)\/((-18)\/(-5) - 4). Let r = -23 + y. Find the first derivative of 3*z + 3*z + r - z - z wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1158831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4904\/51 - -295\/3. Which is greater: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201100122 (base 3) to base 15.\nAnswer: -a02e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101110000 + -100011?\nAnswer: -10110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1408*b - 642*b - 84*b + 1558*b to the form y*b + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 9, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263665 + 171648 = 45*f - 123632. What are the prime factors of f?\nAnswer: 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 - -171. Let p(r) = 1. Let y(b) = -7*b + 11. Let f(a) = 3*a - 6. Let m(s) = 5*f(s) + 2*y(s). Calculate o*p(i) + m(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.1 - -41. What is y rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmy when three letters picked without replacement from vccuvvnvyymnnu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244338 and 10422?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 2120*i + 280900.\nAnswer: 4*(i - 265)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276749512, -553499020, -830248528, -1106998036?\nAnswer: -1383747544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**5\/10 + g**4\/3 + 3*g**3\/2 + 9*g**2 + g + 9. What is the tens digit of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2324\/5 - -465. Factor f*r**3 + 1\/5*r + 0 - 2\/5*r**2.\nAnswer: r*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i + 2*w + 2*w, -2*w = i + 5. Suppose -2*h - 5 = -i*h. What is the second derivative of -n**2 - 2*n + h*n - 5*n**2 + 3*n**2 wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14337 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*h**3 + 27*h**3 - 25 + 3 wrt h?\nAnswer: 150*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 25 - 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 20*p - 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 87. Let b(u) = -u**3 - 3*u**2 + 7*u + 5. Let n be b(-5). Suppose 0 = -2*r - 2*r + n. Put p, r, 0.1 in decreasing order.\nAnswer: r, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3530514 + -56?\nAnswer: -3530603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34.2 in 2, -4, 445?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(85)\/sqrt(5) + 1 + -4 + (sqrt(34)\/sqrt(2) - sqrt(17)) + sqrt(17)).\nAnswer: -18 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffe when three letters picked without replacement from effffffffffffffffff.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1075 and 33755.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 - 4581197700*y - 1049368618324264500 = 0. What is y?\nAnswer: -458119770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67555784, 270223147, 608002086, 1080892601, 1688894692?\nAnswer: 2432008359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/20)\/9)\/(138\/115)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(190) + (sqrt(190) - 5*(sqrt(190) + -1*sqrt(190) + sqrt(190) - sqrt(190)) - sqrt(190) - sqrt(190)))\/(sqrt(90)*-1)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 26*b**2 + 35*b - 23. Calculate the remainder when j(25) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 7. Let k be l(-5). Suppose 0 = -2*w + 4*g + 10, -3*g - k = w + 2*g. What is the remainder when 4 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -374*h**2 + 4*h + 1. Let x(m) = 5*m - 188. Let n(v) = -v + 47. Let a(f) = 4*n(f) + x(f). Determine b(a(y)).\nAnswer: -374*y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 15 = n, 2*n + 1 = 4*t - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007293831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 4 + 4 + (-5 + 2 + 0)*(2*c - 2*c - 4*c))*(-c - c + c)*(3 - 4 - 2) to d*c**2 + y*c + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75\/4 + 19. Let y = 0.2137 + 0.0863. Let o = -1 - -1. What is the nearest to o in y, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 - 61*j - 173. Let s be n(-11). What is the greatest common divisor of s and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -413033, -826041, -1239043, -1652039, -2065029, -2478013?\n\"Answer: 3*f**2 - 413017*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091 is divided by 103.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from kiwwikwkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -296 - 109*j + 296 to the form a + t*j and give t.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + f, -3 = 3*f + 6. Let z = 20 - 17. Solve a - z = x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -0*x. Suppose k + p + 98 = x, 3*k + k = -5*p - 391. List the prime factors of 1\/(-4) - k\/44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5 + -1.5. What is the nearest to z in -1, 1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + 3 + 0 + (-5 + -1*sqrt(11))**2 + 1)*1.\nAnswer: -210 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.2 times 0.2?\nAnswer: -7.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 23 = -12*k. Let w be (-1755)\/(-315) + k\/7. Let f(c) = c**3 - 4*c**2 - 7*c + 5. Determine f(w).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 704023\/7 + -100814. Let c = 239 + f. What is the nearest to 1\/2 in 1, -5, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5634965 weeks?\nAnswer: 340802683200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 17*p**2 + 32*p - 8*p**2 - p**3 + 90947 + 13*p**2 - 90921 - 10*p. Determine s(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:44 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (3 + 1)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7883.2 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 1433*u + 8571*u - 1429*u - 1429*u - 1430*u - 1432*u - 1420*u.\nAnswer: -2*u - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10427703 to the nearest integer?\nAnswer: 3229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970.2952 kilograms to tonnes.\nAnswer: 0.9702952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)*h)\/h**2*(h*h**(1\/4))**8)\/(((h**4*h)\/h)\/(h*h**(-1\/6)))**(2\/35) assuming h is positive.\nAnswer: h**(401\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1282.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**6\/360 + 13*g**5\/120 - 23*g**4\/24 + 2*g**3\/3 + 11*g - 56. Let d(s) be the third derivative of y(s). Determine d(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523650563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/2)\/(b\/((b\/b**5)\/b)*b))\/(b**(2\/7))**(-43))**(-47) assuming b is positive.\nAnswer: b**(-4465\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 19 = 1. Solve 12 = -0*l - o*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by -59.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 2*n**2 - 2*n**2)*(n**2 + 5 - 5 + (n + 0*n + 0*n)*(-11*n + 22*n + 32*n)).\nAnswer: -44*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3283 - 6982. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*r**4 + 3269729*r**2 + 6722917*r - 4 wrt r.\nAnswer: 264*r**2 + 6539458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/72)\/((-2)\/(36\/6)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12085*a**2 - 3300*a**2 + 15372*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, h: 3, n: 2, b: 3}. Give prob of sequence hzhb.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 + -6 - (-2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*z - 4155 - 285 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**4\/12 - 22*n**3\/3 + 1281*n**2. Give t(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15096965 is divided by 232261.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/2 - 52)\/(1\/3). Let q = 49513\/19377 + 2\/6459. Calculate the common denominator of q and 104\/i*(-99)\/(-66).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, r: 2, t: 1, s: 3, z: 1}. Give prob of sequence zr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17*t - 7. Let d = 1 - 5. Let h be l(d). Let r = h + 97. Calculate the remainder when 107 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 5*w**2 - w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2 + 0 = 0. Let c be i*(-1 - -4 - 13). Solve -5*d + 20 = -c*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/17 (c) 513 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -115.6 - -116. Which is the third smallest value? (a) 0.1 (b) q (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -1. Let z be -1*(-2 + -1 + (4 - 270)). Let v = z - 271. Which is the third biggest value? (a) v (b) 2.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4, -2*s + 51 = -5*d - 6*s. Let x = d - -11. Let u be 1 + -4 - (1 - x). Do u and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144455 (base 8) in base 9?\nAnswer: 77573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.5 (b) 1 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3657 (base 11) to base 3.\nAnswer: -20120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12796 - -14524. Calculate the smallest common multiple of g and 6.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 64*l - 259. Give p(5).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 22*f**3 - 6*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -8 (b) -5.7 (c) -2.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwx when three letters picked without replacement from lxvntwl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(49\/(-14) - (-2 + 2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/35)\/(3\/(-135)). Suppose -5*k = -4*f - 158, 8*f - 5*f = k - i. What is the highest common divisor of 480 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32 + -3.41. Let y = j - -0.09. What is the smallest value in y, 2, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 - 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 10 + 4 - 2*u - 19 - 37*u.\nAnswer: -39*u - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 10 = 0, -3*a + 15 = 3*x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/1365*3)\/((-2)\/(-6))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13192 is divided by 3898.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*j + 19. Calculate the common denominator of j and 16\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7)*-2) + 5)**2.\nAnswer: -5*sqrt(13) + 113\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 43164*u. Let v(s) = 97*s. Let t(d) = 2*r(d) - 891*v(d). Let g(i) = -i. What is t(g(a))?\nAnswer: 99*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002 a factor of 452273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 1. Let l be i(-3). Let f = -1 + l. Suppose f*c - 3*x = 9, c - 14 = -5*x + 1. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4095 or -131081\/32?\nAnswer: -131081\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 812300297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(931)*-1)**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 388724928 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:02 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -160854.2349 - -160895. Let q = x - 40.514331. Let j = 0.251 - q. Round j to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from wswswww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13776 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14564618 a multiple of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -21. Suppose -68 - 12 = -2*n. Let v = n - d. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -669072, -12.\nAnswer: -669072, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhnbnqqhkqkbna. Give prob of sequence anq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3457*k**2 - 3240*k**2 - 3250*k**2 - 5*k**3 - 3251*k**2 + 13198*k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 254228.6 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.189567 * 12\nAnswer: 2.274804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 - 24939*b\/2 - 1646385.\nAnswer: 3*(b - 8443)*(b + 130)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 8. Let f be b(5). Let m = 29 + f. What is the greatest common factor of m and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3753963, 7507924, 11261881, 15015834?\n\"Answer: -2*m**2 + 3753967*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - c = -21900002, c + 4034377 = 4*r - 25165621. Round r to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -32, -30?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87262237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24\/10*(-16 + (523 - 12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/6 + (-970)\/(-1164). Which is greater: s or 13\/44?\nAnswer: 13\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 28*y - 4. Let n be l(6). Let c = -105 + n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 661 = -2854. Calculate the remainder when 247 is divided by y.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -405?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 42 = -36. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13918\/345 less than -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13990 + 7074 + 6987)*(3 - 4 + 0 + (2 - 3 + 2)*(-13 - 35 + 5))*(2*u - 3*u + 0*u) in the form s*u + k and give s.\nAnswer: 3124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1623 + 1115 + 398 - 2083)*(11*a**2 - 11*a**2 + a**3) to s*a + z*a**3 + f + b*a**2 and give z.\nAnswer: 1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhhzz. What is prob of sequence hrhz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 382*r**2 - 4576*r\/3 - 13720\/9.\nAnswer: -2*(r + 2)**2*(r + 1715)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (86 + 71 - 181)*(-22 + 22 - 7*p**2)*(-p**2 + 5*p**2 - 5*p**2) in the form s*p**2 + z*p + m*p**3 + o*p**4 + w and give o.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.22 - -1.4. Let h = z - 0.18. Which is greater: -0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + (-3 - 9) + 3 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1294 = -5*j + 1838, -j + 625 = -2*v. What is the remainder when j is divided by 616?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 824.2 - 825.2. Which is the closest to 0.1? (a) -4 (b) q (c) -1\/3 (d) 60\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7292126*v**4 - 2*v**3 + 1666204*v**2?\nAnswer: 175011024*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**2 + 90*g - 679. Let b(j) = 9*j**2 - 90*j + 678. Let m(r) = 4*b(r) + 3*f(r). Factor m(k).\nAnswer: 3*(k - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55334266 to four dps.\nAnswer: 0.5533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*n - 5*q, n + 3*q = -q + 10. Suppose 6*r + n = -m + 2*r, -2*r - 6 = -2*m. Suppose -m*k + 6*k - 12 = 0. Solve k*z - 6*z = 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 24 = 2*h, -3*q - 6 = h - 0*q. Suppose d = -1 + h. Suppose -4*m = 3*o - 131, d*o + 0*o = 3*m - 91. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36469, 72938, 109407?\nAnswer: 145876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -406, -1, 1, -229, 5 in decreasing order.\nAnswer: 5, 1, -1, -229, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/281 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = 4*b - o, -3*b + 5*o - 7 = 0. Let w = -2 + 2.5. What is the second biggest value in w, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*l**2 - 3 - 134*l**2 + 0.\nAnswer: -267*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7312 = 6*y + c, -2*y - 3*c + 3646 = 0. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 35) + (36 - (23 - -21)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = -9*v - 12 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2313 - -12?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 - 2*m - 2. Suppose s = -a + 6, -2*a + 18 = -0*a + 4*s. Is v(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 12*a**2 + 12*a - 6. Let m be k(-11). Let r = -68 - m. Let i = -36 - r. What is the remainder when 58 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 8. Let m(a) = 4*a - 7. Let f(i) = -7*m(i) + 6*t(i). Let u be f(1). What is the units digit of -4 + 26 - (u - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 2*sqrt(1900) + -2).\nAnswer: -40*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -24*a. Let r(f) = -5*f**2 + 8. Let c(q) = -2*q**2 + 3. Let j(x) = 8*c(x) - 3*r(x). What is j(n(t))?\nAnswer: -576*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 12:47 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111122 (base 3) in base 11?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295873077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 28. Let m(v) = v**2 + 4. Give m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 53741994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 3. Let s(l) = 2*l - 7. Let p(b) = -3*s(b) + 7*w(b). Let t(h) = -28*h**2 + 12. Calculate p(t(a)).\nAnswer: -28*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.8 + -24.37. Let j = 0.27 + r. Let x = -1.6 - j. Which is the nearest to -1\/2? (a) 3\/5 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 3*o. Let t be 288\/(-156) - 2\/13. Let r be f(t). Let h = r + 22. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 2170 = 19*j. List the prime factors of j.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookzzzkz. What is prob of sequence kkz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*54*(-2)\/(-8). Suppose a - q = -2*a. Calculate the least common multiple of 20 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k**2 - k**2 + 0*k**2)*(5 + 2 - 6)*(50*k**2 + 2570*k - 2570*k + 2) as s*k**3 + o*k**2 + r*k**4 + u + p*k and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.464999\nAnswer: -1.859996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 1 + 2 - 1. Let o(t) = t + 3. Let m(w) = -23*w + 120. Let i be m(5). What is i*p(d) - 3*o(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + u + 57 = 0, 4*l = -u + 19 + 23. What is the greatest common divisor of 77 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.084 * -119.\nAnswer: 9.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2863 times -62\nAnswer: -177506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1\/2 (b) 2 (c) 3289\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Suppose 3*i = -2*u + 11, -u + g*i - 10 - 12 = 0. Let y(v) be the first derivative of v**3\/3 - 115. What is y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = f. Let p be ((-12)\/(-8))\/(f\/16). Let u = 11 - p. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 23*i - 5. Let z(k) = k**2 - 12*k - 2. Let n(y) = -6*u(y) + 11*z(y). What is the units digit of n(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269353, -269340, -269311, -269266, -269205?\nAnswer: -269128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/27 in -33, 20, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10834657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x = 2700. What is the tens digit of (2\/4)\/((-5)\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - q - 19*q - 11*q.\nAnswer: -31*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b + 1. Let t be (-1)\/(b\/(-6)*1). Are 3 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 7:40 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-27)*(-432)\/(-40) + 8\/10. Suppose 3*a + a = 0. Put a, 16, y in ascending order.\nAnswer: a, y, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5987795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36468643 to the nearest integer?\nAnswer: 6039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000669442 to 6 decimal places.\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11520783800 rounded to the nearest one million?\nAnswer: 11521000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**2 - 8*t**2 - 4*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(3 - (-2)\/(-6)). Let g = 40 - x. Let s = g - 11. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.75 * -1\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -16\/93?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 54609?\nAnswer: 1146789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -6. Let n be b\/10 - (-143)\/55. Suppose -f + n*w + 22 = -4*f, f + 26 = 4*w. What is f rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 646 = 226. Let m be (-2 + 5)*(45 - (-2793)\/(-63)). Sort -3, w, m, -5 in ascending order.\nAnswer: w, -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-624)\/100)\/(188\/(-235))\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 0, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:06 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*3*2\/(-18). Let o(p) = -p**2 - 4*p + 6. Let j(c) = -2*c**2 - 7*c + 12. Let d(z) = 4*j(z) - 7*o(z). What is the units digit of d(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 9\/20*o**5 - 5\/6*o**3 - 2*o**2 - 8*o + 1\/30*o**6 + 5 + 0*o**4. What is the second derivative of p(k) wrt k?\nAnswer: 12*k**2 + 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*v + 16, -3*v + 71 = -2*n + 54. Put -32, 3, -9, n in increasing order.\nAnswer: -32, -9, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2117984511 + 0.2118. What is n rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 837 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*n**4*r**3 - 2*n*r**2 + 60*r**3 wrt n.\nAnswer: -2604*n**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 27377141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 13*y + 2*y)*(-1 - 2*y**2 + 1) to a + u*y + z*y**3 + q*y**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 59.4. What is s rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/132*3 + (-1323)\/(-77).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 - 2*w + 27224 = 0. Calculate w.\nAnswer: -166, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 999 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 921328747 to the nearest integer?\nAnswer: 30353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + q + 375, -3*q - 939 = -5*n. What is the tens digit of (-7 + n\/30)\/((-1)\/215)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679901679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46 - -0.06. Let p = 2 + 2. Let l be 41 + 65\/(-10) - 36. Which is the nearest to l? (a) -0.5 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 49*m**2 - 160*m + 419. What are the prime factors of l(29)?\nAnswer: 43, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(13\/2)*u\/u**(-26) assuming u is positive.\nAnswer: u**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 24*j**3 + j**2 + 9*j - 9. Let o be c(1). Solve -3*s - 2*s - o = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -13*s + 192. Let d be j(14). Let w = -2318 - -4055. Find the third derivative of d*u**3 - w + 18*u**2 + 1737 wrt u.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 207854 - 136354. What is y rounded to the nearest one thousand?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 72*l + 896. Let m be n(82). Let z(v) = v**2 + v + 19. Let d be z(0). Calculate the greatest common factor of m and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169\/724 - 3\/181. Let o = 2 + -1.6. What is the closest to -0.3 in z, o, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = s - 3, 4*s + s + 5*y - 15 = 0. Solve 2*n - s*d + 1 = 0, d + 2 = n + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 + 6330507*d - 13358439625683\/2.\nAnswer: -3*(d - 2110169)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*5*(-30 - -31). Suppose -7*h - c + 26 = 0. Solve 0 = -h*n - 8 - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*i - 0 - 1, 3*i = r - 5. Suppose 4*a + d = -2*d - r, -3*a + 3*d + 3 = 0. Let h = -15 - -11. Which is smaller: a or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, b: 3, h: 1, q: 2, m: 2, k: 1}. What is prob of picking 1 b, 2 m, and 1 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/(a\/(a\/((a\/((a*(a\/a**(2\/53)*a)\/a)\/a)*a)\/a))))\/(a**(-3\/4)\/(a\/(a\/a**(-1\/12))*a)) assuming a is positive.\nAnswer: a**(1690\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2149\/5 - -419. Which is smaller: i or -10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1)\/26*2. Let h be (280\/(-6))\/(-14)*(-3)\/2. Which is the third biggest value? (a) 5 (b) h (c) 3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 * -90\nAnswer: 4680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437*b - 431*b - 31865 = 27565. What are the prime factors of b?\nAnswer: 5, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = -24*r + 1032. Suppose z = 5*n + 1, 2*z = -n + 4 - 2. Sort r, -4, n.\nAnswer: -4, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 13. Suppose -41 + 321 = 4*i. Suppose 15*g - g - i = 0. Solve -4*s - f = g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230111311 + -313?\nAnswer: -1230112230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312 = 89*i - 8211. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c - 166*c = -89*c - 50 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-172)\/5)\/((-4)\/170). What is the greatest common factor of u and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 1, i: 2}. Give prob of picking 1 v and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Suppose 0 = 3*g, -5*g - 5 = -4*m + 7. Suppose q = 2*z + 12, -5*z + m*z = -5*q + 44. Solve -h*k + 0 = q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from akfzkyo.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 58\/4)*44\/(-6). Let y = j + 102. Suppose 2*q = -5*n + 382, -7*q + y*q - 2*n + 732 = 0. List the prime factors of q.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614091689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (69 + -88 + 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 + 2*u - 6. Let i be s(7). Suppose 3*l - 2*m - 38 = -l, l - i = m. Solve q + 6 = 4*g + 4*q, l = 5*g + 2*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -52. Let t = d + 14.8. Sort -0.1, t, -2\/7.\nAnswer: -2\/7, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)*m*((m**(-8)\/m)\/m)\/m)\/(m**(-1\/3)*m\/(m**8*m)))\/((((((m**(-1\/5)*m)\/m)\/m)\/m)\/m**(1\/7))\/(m*m\/(m*m**6)*(m\/m**0)\/m)) assuming m is positive.\nAnswer: m**(-979\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 348902804 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 42*y - 165. Let u be v(4). Solve -u*o + 4 = 2*m, m - 3*o - 11 + 0 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**4 - k**3 + 1713 + 2*k**4 - 838 - 848 as h*k + n + a*k**2 + t*k**4 + s*k**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 101*s**2 + 11*s + 61. Suppose 0 = 24*h - 31*h - 63. Is y(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = b + 7, -5*w + 16 = -3*b. Suppose -i + c + 0 = -4, -i - b*c - 4 = 0. Suppose -4*n + 239 = -2*n - 3*k, 4*n - i*k = 498. Does 28 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10605980 divided by -5.\nAnswer: 2121196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 11*c + 4. Let n = 24 + -13. Let w be g(n). Solve 0 = 4*y - k - 5, -25 = 2*y - w*y + 5*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1082\/17 - -9721\/153. Sort i, 0.3, -3 in increasing order.\nAnswer: -3, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 7*g**2 + 2*g + 16. Let d(f) = 6*f + 5. Let j be d(-2). Let z be w(j). Suppose -z*t = 2*t - 260. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*x**2 - 6*x**2 + 3*x**3 - 3 + x**2 wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0219 - 74.5028\nAnswer: -74.5247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 463456 or 463460?\nAnswer: 463456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:53 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*r + 11*r - 164*r + 69*r + 124*r**2 - 1187*r**2 wrt r.\nAnswer: -2126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1402002?\nAnswer: -1402004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4 + 83*z - 1287*z**2 - 85*z + 3912*z**2. Let i be (1 - -1) + (2 - 2). Let g be n(i). What is g rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16981497.\nAnswer: 3, 13, 19, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06164856 to 3 decimal places.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157768*u**3 + 143305*u wrt u?\nAnswer: -946608*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(985\/7 + (-2)\/(-7)). Calculate the least common multiple of 12\/18*v\/(-2) and 3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 2*y + 2. Let d be r(3). Let x be (-76)\/d - (-2)\/5. Let b = x - 5. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 2.6.\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 28. Solve -l + f - 2 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 14 + 12 + 0*i)*(1 - 4*i**2 - 1).\nAnswer: 12*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 108236 less than -0.1?\nAnswer: -108236.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -25. Let x = o - 8. What is the remainder when 37 is divided by 10\/x*(1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829620684 to the power of 1\/2, to the nearest integer?\nAnswer: 28803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 439242*m - 1090504.\nAnswer: 439242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9389 and 14891183?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184748 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 210727 = 73849. Let y = -15420 - a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 118*i = 113*i + 15, -4*i = -8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l + 3*p = 49, 3*l - 45 = -5*p. Let m(u) = u - 10. Let z be m(l). Solve -r + 2 = -3*v, -3*r + 6 = -5*v - z*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, 2\/3, 3.6, -4\/9 in descending order.\nAnswer: 3.6, 2\/3, 0, -0.2, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16098?\nAnswer: 2, 3, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 778905.\nAnswer: 5452335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**5 + 6264*m**4 + 26632*m**3 - 2354400*m**2 - 30453732*m - 105296760 = 0. Calculate m.\nAnswer: -9, 23, 1570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213 - -30202220?\nAnswer: 30202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 38 at most as big as 7007\/184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14 + 4138*g**2 - 12*g + 2*g**3 - 4138*g**2 wrt g?\nAnswer: 6*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {z: 7, q: 1, d: 1, f: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.141184 and 42599.\nAnswer: 42598.858816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123395 = 24*h - 249*h - 6620. Solve -518*r = -h*r - 2*i - 7, 3*i + 16 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 110308 = -16379. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21\/5 (b) 5 (c) -3\/8 (d) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -660 - -670. Which is the third biggest value? (a) z (b) -0.24 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369851090 divided by 6?\nAnswer: -184925545\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*g - 27, -4*g - 3 - 9 = 4*i. Let o = 4825 + 3573. Let d be 2\/i + 1 + o. Round d to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 + 0*r**4 - 4112*r + 6 + 11*r**3 + 9*r**2 - 12*r**2 + 4107*r + r**2 as u*r**2 + o*r**4 + j + n*r + f*r**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3))**(-6\/23)*j**(8\/3)*j*(j*j**27*j)\/j)**(-4\/19) assuming j is positive.\nAnswer: j**(-8884\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15*y**3 + 15*y**2 + 22*y + 18. Is 105 a factor of g(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -2*r + h, -10*h - 328 = -2*r - 12*h. Suppose r*q + 40 = 155*q - 4*f, 2*q - 2*f = -34. Which is greater: -11 or q?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 115912581.\nAnswer: 115912578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14076?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000966493 to six dps.\nAnswer: -0.000966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (25\/10 - 3)*(1 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 10973607.\nAnswer: -1\/10973607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57\/71, 1, -19, -2\/3 in decreasing order.\nAnswer: 1, -2\/3, -57\/71, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1323699\nAnswer: 2\/1323699","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/570 + (-26)\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 22*a**2. Let t(x) = 12*x**2. Determine t(w(y)).\nAnswer: 5808*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*f = -7, 2*x = -2*f + 4*f - 4. Suppose -1 - x = -u. Suppose -3*g + 42 = -u*g. Calculate the greatest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 765\/7. Which is the closest to -0.1? (a) m (b) -4\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452406 = 3917*p + 6922*p + 208773 for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/3*4\/8*-60?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/8 + 79\/120. Let z(t) be the second derivative of -1\/3*t**3 + 0 + 0*t**2 + 0*t**4 + 3*t - x*t**6 + 0*t**5. Find the second derivative of z(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/(7\/14). Let s(j) = 247*j. Let x be s(y). Let f = 111 - x. Round f to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 10*v - 196 - 59*v + 74*v - 10*v**2)*(-2*v**2 - 3*v**2 + 6*v**2).\nAnswer: -7*v**4 + 5*v**3 - 196*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 2ab65?\nAnswer: -2ab6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389, -1620, -3673, -6554, -10269?\nAnswer: -14824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 19. Put 5, -1, k in ascending order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/24 - a**3 + 5*a**2. Let g be l(8). Suppose 5*s = 2*k + 105, -g*s - s - k + 52 = 0. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 2*f - 3*f - 2. Let z be y(3). Let v = -11.8365 - -12.3365. Which is the biggest value? (a) z (b) 3\/7 (c) -0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51 and 39.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*h - 17, -12 = -5*q + 2*h + h. Let z(n) = 4. Let r(s) = s + 4. Determine q*z(m) - 4*r(m).\nAnswer: -4*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 = 4. Let a = 8 - v. Suppose -a*o = -c - 0*o + 57, 5*c - 4*o - 264 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/85)\/((-324)\/(-40) + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*1*(2 - 3). Let s = -0.18 - -0.58. Which is the nearest to -0.1? (a) s (b) y (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 514*u**5 - 4103*u + 165. What is the first derivative of v(r) wrt r?\nAnswer: 10280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26326.6 centimeters to nanometers.\nAnswer: 263266000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -311*c**2 - 52*c. Let n(j) = 3*j. Give m(n(y)).\nAnswer: -2799*y**2 - 156*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 6*g - 2 + 10, -3*w + 7 = -4*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 - 59. Let a(r) = 4*r**2 + 29. Let h = 41367 + -41369. Give h*k(o) - 5*a(o).\nAnswer: -2*o**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1208891\nAnswer: 483556.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410.9552 centimeters to meters.\nAnswer: 4.109552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.4 - 0.6. Let u = -0.06 - -0.36. Which is the second smallest value? (a) r (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123380 + 37508763\/304. Let p = o - 86\/19. What is the common denominator of -101\/160 and p?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1631094 - -3?\nAnswer: 1631097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15689 + 17311 = f. What is f rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793639?\nAnswer: 3, 931213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59954705.\nAnswer: 5, 11990941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 10 = m + n, 0 = -m + n + 6. Calculate the remainder when 231 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 36, 26, 12, -6, -28?\n\"Answer: -2*i**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*j + 43442 = -10*j. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p - 40. Let n be o(-7). Solve -q = 3 + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/8)\/(1\/(-2)))\/((-205)\/264860*627)\nAnswer: 17\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**3 - 4*q**2 - 5*q + 1. Let h be s(-1). What is the common denominator of 190\/1000*h\/((-21)\/(-18)) and -7\/12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -9293831a?\nAnswer: -92938317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, and 1 g when three letters picked without replacement from tthghehethhglglth?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 7*i**2 - 8*i + 4. Let o be x(-8). Suppose 2*w + 5 - 11 = 0. Suppose 0 = -w*b + 27 + 15. Solve 0 = 2*j - b + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/28, 1, -8 in descending order.\nAnswer: 1, 1\/28, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.662731 millimeters in nanometers?\nAnswer: 2662731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.8743 kilograms in micrograms?\nAnswer: 97874300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4617 = -112*h - 56*h + 927 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 378358214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, a: 2, f: 3}. Give prob of picking 1 f and 1 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l - 5. What are the prime factors of m(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16617 - 14967 = 28*j. Let z = j + 2688. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3020 divided by -151\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 18 = t, 3*t = 4*j - 1 + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - q = i + 1, 31 = 3*i - 5*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*j**4 + 239763*j**3 - 55*j**2 + 69*j + 389?\nAnswer: 1176*j + 1438578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 3*v**2 + 5*v**2 + (5*v**2 - v**2 - 2*v**2)*(2 - 5 + 2) - v**2 + v**2 - 2*v**2 - 5*v**2 + v**2 + 5*v**2 + v**2 + 0*v**2 + 5*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 43007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4\/3 + 6*b**3 - 8*b**2 - 40*b\/3 = 0?\nAnswer: -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 16*y**2 + y - 1. Let r be w(1). Calculate the common denominator of 31\/r - (3 - 2) and -21\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*d + 47*d + 38*d + 50*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-342)\/(-8))\/((-9)\/(-6)). Let i = n - 29. Let k be 5\/10*(-3 + -1). Do k and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 3*u. Let c(n) = -2*n. Let d(y) = -3*c(y) - 2*f(y). Suppose -h = 3*h - 20. Let s(l) = -5 - h*l + 5 + l. Give d(s(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70955 and 410?\nAnswer: 5818310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 12) to base 8\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*z + 22*z**3 - 104*z + 2*z - 19*z**3 + 29*z in the form q + v*z**2 + k*z + t*z**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8000\/19 - 421. What is the common denominator of 20\/3 and g?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 15*f + 20 + 27 - 47. What is the units digit of t(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 1595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000102533285 to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12024*c**3 + 205*c**2*t**2 + 14*c + 115944*t**2 - 1039*t - 1 wrt c?\nAnswer: -36072*c**2 + 410*c*t**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859931033.\nAnswer: 137, 20875409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 20*g**2 - 633*g - 2332. What is d(35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, e: 3}. Give prob of sequence eyyy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 0.1654844?\nAnswer: 2.8345156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -21*j**4 + 2789568*j**3 - 11158236*j**2\/7 + 1594032*j\/7 = 0.\nAnswer: 0, 2\/7, 132836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*w + 334*w + 1903 - 79*w - 943 - 958.\nAnswer: 356*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21473 - -21484. Solve -13*c - v*c + 168 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7))**(-26)\/(j**(-13)*j**15) assuming j is positive.\nAnswer: j**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1)\/(8\/(-28)). What is the common denominator of -2 + (-4)\/n + 2 and 97\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((1*sqrt(65)*-5 - sqrt(65)) + sqrt(65))*-6)\/(sqrt(405)*1 - (sqrt(45)\/(sqrt(9)*-2 - sqrt(9)) + sqrt(5))))**2.\nAnswer: 151632\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34495, -137955, -310387, -551791?\nAnswer: -862167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 19825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 8*w + 3. Let u be t(6). Let p be (5 - u)*4\/2. Let n(q) = -q**3 + 3*q**2 + 2*q. Let v be n(2). Solve 0 = 5*d + v - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1121 - 1124. What is the smallest value in 0.77, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcxi. What is prob of picking 2 x and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16.7? (a) -0.2 (b) 38 (c) -170.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2203*p**2 + 474 - 179*p**2 - 474 in the form c*p + q*p**2 + w and give q.\nAnswer: -2382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (70 + 460 - 28)*(3 - 173*j**4 + 347*j**4 - 185*j**4) as q*j**2 + t*j**3 + b*j**4 + r + m*j and give b.\nAnswer: -5522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -736 + 738.64. Let m = -2.74 + g. Which is the biggest value? (a) 2\/15 (b) -4 (c) -0.03 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 11 in ascending order.\nAnswer: -13, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 4*x + 1\/6*x**3 + 1\/12*x**4 + 0 + 2\/15*x**5 - x**2. Give w(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -10*j - 1432. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327240.3 months in years?\nAnswer: 27270.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**3 + 25\/2*m**2 + 0*m**4 + 0*m + 25 - 39\/5*m**5. What is the second derivative of t(w) wrt w?\nAnswer: -468*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0.9, 0.4, -0.4, -1 in descending order.\nAnswer: 11, 0.9, 0.4, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.81429141 rounded to 1 dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -145*t**7\/7 - 97*t**3\/3 - 84. What is the third derivative of o(f) wrt f?\nAnswer: -17400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, e: 2}. Give prob of picking 1 e and 3 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/9*363\/2 + 4.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*h = -k + 26, 2*h - 2 = 0. Let m be (-2)\/k - (-102)\/104. Let p = m - 3\/13. Is p < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -82. What is the third biggest value in 0, y, 0.1, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -5, -28076 in decreasing order.\nAnswer: 2, -2, -5, -28076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -23. Suppose 0*c - a = c. Sort -4, 4\/5, c in increasing order.\nAnswer: c, -4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5 + 36\/10)\/(-7) and (-376)\/630 - 26\/(-234)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 69 + 69.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2973, -5947, -8921, -11895?\n\"Answer: -2974*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 2*h - 12. Let w be m(5). Suppose -3*y + 21 = -z - 2, -w*y + 2*z = -28. Is (33\/y)\/((-5)\/(-10)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p. Let m(z) be the third derivative of -z**5\/60 + 70*z**2 - 2. What is m(v(b))?\nAnswer: -324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 29*j + 58. Let v be m(-2). Let f(w) = 13*w + v*w**2 - 7 + 7 + 4 - w**2. Determine f(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -5. Let w(p) = p**2 - 206*p - 38*p**2 + 217*p. Let m(n) = 56*n**2 - 17*n. Let f(g) = a*m(g) - 8*w(g). What is the second derivative of f(c) wrt c?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 3. Let t = -5 + 3. Let k = b - t. Solve -2*h + k*h - o = -6, 2*o = -5*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (-25 - -28) + (7 - 1) - -7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yys when three letters picked without replacement from {y: 2, s: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:13 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-10) - (-560)\/25) + -3. Let w be (-14)\/(-8)*a\/(0 - -5). Calculate the greatest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -33 - -62 - (1 + 2 + 16)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 - -50.0037. Round p to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/9832748 and 169\/84.\nAnswer: 206487708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -729\/5 - -23897\/165. Find the common denominator of 61\/54 and u.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1936 or -1897?\nAnswer: -1936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 0, -c - r = -6 - 0. Suppose 2*h + c = 26. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Suppose -5*k = -5*t - 40, -z*k - t + 4 = -3*k. Suppose x = -x + k. Solve 0*q = -x*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -2*d**5\/5 + d**4\/6 - 12*d**2 - 2*d - 1. What is the first derivative of a(u) wrt u?\nAnswer: -24*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -1, 406, 0.2?\nAnswer: 406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 - 84 + 9 - 15*o + 6*o.\nAnswer: -9*o - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 12, r: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3458.\nAnswer: 2\/1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 54. What is the second smallest value in -0.12, 1, v?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10060.1043 + -10062. Let x = k + 1.9. Round x to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2 - l + 5 + 0*l - 6. Let k(q) = 3. Determine -k(v) + w(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34965738671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 34*u - 434. Give x(43).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/673 - 1373\/6057. Put 0.9, 1, v, 3 in ascending order.\nAnswer: v, 0.9, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*y**2 - 11*y - 2*y - 7*y wrt y.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1580147408 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24678024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 4. Let v = -36455 + 36457. Solve -z + 15 - 2 = -v*q, 0 = -q - p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 415 in -3, 0.2, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31697535\/(-2567795) - 2\/(-183)?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**4 + 7*p + 2*p**2 - 17 + 47 - 14 - 2*p**4 - 15 to m*p**3 + f*p**4 + t*p + j + w*p**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9003.023 meters?\nAnswer: 900302.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5. Let i = 0 - r. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/11)\/(12\/(-44))*408\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 10*m**3 - 25*m**3 + 13*m**3 + 3*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.377689606 rounded to 2 decimal places?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -28. Determine j, given that -8 + 4 - j**w + 8*j - 4 - 8 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*m - 67 - 58, m + 3 = 0. Let l = -11 - a. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*h - 2 - 1 = 0, z + h - 6 = 0. List the prime factors of 6 + (0 - -3) + z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Let n be 0 + r*(0 - -1). Determine f, given that 3*f**2 + 3*f**2 - n*f**4 - 4*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 2*r + 20, 26*r - 25 = 31*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l**4 - 24*l**3 + 120*l**2 - 8*l**3 - 117*l + 5*l**5 - 43*l + 52*l**3 = 0.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 70898179.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.15 - 2.05. Which is bigger: v or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*l**3 - 589*l - 589*l + 1178*l + 44 + l**2 - 51.\nAnswer: -599*l**3 + l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8 - 6 = 0. Let s be (-260)\/(-91) - (b + 3). Find j, given that -2\/7 + s*j - 6\/7*j**2 + 2\/7*j**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k**2 - k)*(3*k - 2*k + k) + k - k**3 + 4*k - 4*k.\nAnswer: 3*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.7681ml to litres.\nAnswer: 0.8967681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6578, -2 in ascending order.\nAnswer: -7, -2, 6578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/3 - 620*d**2 + 7296*d - 21744.\nAnswer: 4*(d - 453)*(d - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 667626, 1335248, 2002874, 2670510, 3338162, 4005836?\n\"Answer: d**3 - 4*d**2 + 667627*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.24 - 4.24. Which is the closest to 0.8? (a) i (b) -1\/4 (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*t = -0*o - 38, -4*o = 2*t - 48. Let f = o + -10. Suppose 0*b - 4*b + 4*l + 16 = f, 3*b + l = 0. Calculate the highest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 36.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/(-4))\/((180\/63)\/(-20))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 113, 132, 159, 194, 237?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4 - 29837094*a**3 + a**2 + 3039501*a + 3 wrt a?\nAnswer: 48*a - 179022564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40061.91273 rounded to 0 decimal places?\nAnswer: -40062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -25*h - 30*h + 47*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 5*m)*(0 - 4 + 3 + (-2 - 2 + 5)*(0 + 2 - 5)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31100971 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 4*t**3 - t**3)*(-t - t + 0*t) + 157*t**4 - 6*t**4 - 896*t**4.\nAnswer: -743*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -103.6.\nAnswer: 414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 44 = -36 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 4}. What is prob of sequence oko?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 141778*h**2 + 283563*h + 425340.\nAnswer: -(h - 3)*(h + 1)*(h + 141780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 11. Let w be a(8). Solve w*c - 4 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 16 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 2*n)*(0 + 4 - 5) + 181*n + 4*n + 67*n.\nAnswer: 251*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - c**3 + 3*c**3)*(127*c - 6*c - 70*c + (-1 + 1 - 1)*(-1 + 1 + 2*c))*(2 - 2 + 1).\nAnswer: 49*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 35343.91 to the nearest one hundred.\nAnswer: 35300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1231 (base 4) to base 7\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:06 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25249216 to the nearest integer?\nAnswer: 5025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((3*-1*sqrt(405))**2 - sqrt(405)) + sqrt(405) - (-1 + 1*sqrt(405))) + (-6*(sqrt(405) + 0) - (0 + sqrt(405) + sqrt(405))*-1))*-6.\nAnswer: -21876 + 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4\/5 + 336*p**3\/5 - 1048*p**2\/5 - 336*p\/5 + 1044\/5 = 0.\nAnswer: -87, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 - 7*t**2 + 52*t - 14. List the prime factors of w(-9).\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87843654*c**5 - 15412715*c?\nAnswer: 1756873080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/32)\/(((-944)\/(-3328))\/(-59))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -64. Let y = m + 61.000118. Round y to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -387, 13 in descending order.\nAnswer: 133, 13, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/106 and -40\/33.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = -60. Suppose -12*n + 6*n = -y. What are the prime factors of 4 - ((-852)\/n)\/3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 25\/4*x**4 + 0*x**3 + 0 + 0*x**2 + 177*x. Let c(s) = 4*s. Determine f(c(z)).\nAnswer: 1200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.075 + 9.225. Let b = n - 31.3. Let m = 8.5 + -8. Sort -3, m, b in increasing order.\nAnswer: b, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1 + m**3 + m**4 - m**4 - m**4. Let p(h) = -1 - 3 + 1 + 7*h**2 + h + 19*h**3 + 16*h**4 - 7*h**4. Let y(f) = -3*a(f) + p(f). Factor y(l).\nAnswer: l*(2*l + 1)**2*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.5 + 10.68. Let r = 2.4 - g. Let a = r + 0.08. Sort -1\/7, a, -3.\nAnswer: -3, -1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5, -152*n = -5*u - 154*n + 47. Let s(d) = -3*d + 4. Determine s(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290.978 + 0.1196583?\nAnswer: -290.8583417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*33\/(-27)*1. Let j = f - -47\/12. Sort j, -0.3, -2, 6 in descending order.\nAnswer: 6, j, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 3 + i + 2 + 10*i as j*i + h and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3, 4*r = m - 0*m + 65. Let x be (r\/(-48))\/(1\/(-6)). Let d = 7 - 12. Which is the third smallest value? (a) 6 (b) d (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 920 + -920. Let d(j) be the first derivative of v*j**2 - 7*j + 2\/3*j**3 + 2. Find the first derivative of d(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23222, -48056, -72890, -97724, -122558?\nAnswer: -147392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7887786718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 - 810 = 151*c + 511 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 980997.9um?\nAnswer: 98.09979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -199492, -398986, -598482, -797980?\n\"Answer: -h**2 - 199491*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 19*j = 24*j, 3*o + 4*j = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15806922 divided by 53.\nAnswer: -15806922\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -100*a - 87. Suppose -b - 3*b + 112 = 0. Suppose b = 2*v + 2*v. What is the remainder when y(-1) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 12 = 4*d, 4*s = -4*d + 123660. List the prime factors of s.\nAnswer: 30911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1915 and 13788?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65\/64 + -277\/64. What is the common denominator of ((-175)\/(-10)*1)\/3 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - -3.3. Let f = -151013 + 151012.7. What is the second smallest value in 1\/6, p, f, 2.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 > 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*t = -9, 0 = 3*y + y + 5*t - 15. Let m = 291 - 201. Suppose y = 2*g, -3*g = -2*l + 2*g + m. Round l to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*m**2 - 6*k*m - 4*k*p - 1594*m**2*p + m**2 + 6*m - p wrt m.\nAnswer: 4*k - 3188*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4281669*s**3 - 7942*s**2 + 34.\nAnswer: -25690014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 102 = -2*z + 6*y, 0 = -6*z - 2*y + 41 + 75 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -56866*y - 625557. Give v(-11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6200443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (5 + -1)) + 4 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 11 = 2*n, -2031*n = -2020*n + 5*a - 26 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11730 divided by -391?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dldldddddd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 40 = -2*l - 10, -l = 3*q - 17. Let y(z) = 2*z + 7. Let d(u) = u + 3. Suppose 0*p - 3*p = 27. Let c(i) = p*d(i) + 4*y(i). Calculate c(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19707 + -19690. Solve 0 = -7*s + 10 - k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 29 (b) -2 (c) -23 (d) 66 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 41.1. Let p be -2*((-20)\/(-22) + -1). What is the closest to -2\/9 in -2, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/35 - 30\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1021 - -1026. Sort o, 6, -5.\nAnswer: -5, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*o - 7563. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-72)\/(-6)))\/((-511)\/(-146)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*d + (-4 + 5 - 3)*(2*d - 3*d + 3*d) - 2 + 2 - d + 3*d - d + 0*d - 23*d - 10 + 9*d + 18*d)*(0 + 0 - 2)*(12*d**2 + 6*d**3 - 12*d**2).\nAnswer: 12*d**4 + 120*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1)\/(-6 - -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 13*v**2 - 28*v - 127. Let j be u(-15). Which is smaller: j or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-318)\/(-18) + (-4)\/6. What is the highest common factor of p and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7959*3\nAnswer: 23877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115026546*f**3 + 17593735*f wrt f.\nAnswer: 690159276*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116566 + -31621?\nAnswer: -151520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 - (-1 - -8 - -7 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(((-29325)\/(-120))\/85)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -25137\/10484 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 3*d - 118. Let q be g(-7). Are q and 462 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2962 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (1*sqrt(176))\/sqrt(8))\/(-1*sqrt(55)\/sqrt(5)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 491*q**2 + 2477*q + 144. Give c(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 511940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from ijiijimejmmeemme.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4 + 758*c**3 + 12339*c**2 + 34992*c - 125388.\nAnswer: -(c - 774)*(c - 2)*(c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-261)\/42 + (-2)\/7. Let t = -43\/6 - q. Let h = -2\/4057 - -4063\/12171. Sort -0.2, h, -5, t in descending order.\nAnswer: h, -0.2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/128769 or 1?\nAnswer: 2\/128769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - v. Let i be g(0). Suppose i = -t + 2*t + q - 15, t - 2*q = 9. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 1, -5, -0.5, 3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1710, 1643, 1564, 1473, 1370?\n\"Answer: -6*s**2 - 49*s + 1765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 22*u + 382. Let b be y(-15). Solve 15*f - 2*f = -b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let o = -29 - -59\/2. Which is the nearest to o? (a) j (b) 1\/4 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, r: 14}. What is prob of picking 3 r and 1 u?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 808320107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)*s)**46*(s*s**6)**(-9) assuming s is positive.\nAnswer: s**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 28*w - 109. Determine r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -6. Which is smaller: 1\/36 or z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131492 is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-796)\/50 - 31\/((-31000)\/(-80)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 38*w = 288 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p - p)*(3*p**2 + 3*p**2 + p**2).\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89081 + 445406\/5. Let f = 0.1 - 1.1. Let r = 0.9 + f. What is the closest to k in 0.3, r, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5073135 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 - -129. Solve -u = -3, -v*g + 2*u - 14 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1112.24l?\nAnswer: 1112240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*y**3 + 6 - 4*y**2 + 0 - 6 as r*y + s*y**2 + o + z*y**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/20)\/(-6)*5\/4*6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {s: 1, x: 3, w: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -3, 1\/4, 208?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + 203 + -61 + (1 - 1 - 13)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 times -8410\nAnswer: 65598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232611.3 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 73942*s. Let k(h) = 107*h. Calculate k(w(r)).\nAnswer: 7911794*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18 + 3)*15\/9. Let x = 76\/3 + s. Let q = -2 - -2.2. Which is the closest to x? (a) 1 (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 - 1.98. Which is the nearest to 0? (a) t (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*k - 485 = 0, 4*k = 2*i - 289 + 79. Suppose 5*r + g - 2844 = 0, g - 926 = -2*r + 214. Calculate the remainder when r is divided by i.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20525 - (6 + 11 - 3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 512 and 7432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 18 = -4*k, -88*i + 2*k = -83*i - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61 - -114374?\nAnswer: 114455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 229, 0.3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/1285 - 10619\/30840. Calculate the common denominator of d and 103\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 1298\/132)\/((-5)\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - r = 5, 4*r + 42 = -5*q + 16. Let g(d) = -28*d**3 + d**2 + 6. Let b be g(q). Suppose c + b = -15910. Round c to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5927*g + 503789. Determine f(-85).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -0.1, -1\/120, -2\/9, -1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110110 (base 2) in base 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6709?\nAnswer: 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/5 + 2*a**4\/3 - 2*a**3 + 3*a + 11. Find x, given that c(x) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -41. Suppose -5*r = 25, 6 - y = -5*c + r. Calculate the remainder when 11 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t + 19. Let s be h(-4). Let a(g) = -4 + g**3 - 3 - 2*g + 0 + 5*g**2. Let x be a(s). Solve -20 = n + x*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:51 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2129*h**2 - 16*h + 4. Let x(r) = -679150*r**2 - 5100*r + 1275. Let w(u) = -1275*o(u) + 4*x(u). Let j(f) = 5*f**2. Determine j(w(d)).\nAnswer: 22578125*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*a = 260, a + 360 = 3*m + 4*a. Let g = m - 87. Suppose -5 = d, 4*w - 4*d - 51 = g. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -a - 87, -v + 3*a - 106 = -103. Solve -242\/3*q**2 + 88*q - v = 0.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 173541001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 11*y + 21. Let z be s(-9). What is the third derivative of 10*a**2 - a**2 - 2*a**2 + 5*a**2 + 6*a**z wrt a?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 + 109.021. Let i = j - 0.021. Which is the nearest to 0.09? (a) 2 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71df (base 16) in base 10?\nAnswer: 29151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (2\/13 - 1). Let p = 0.06 - -1.94. Suppose 0 = -3*b - 4*f - 2 + 8, 3*b + 5*f - 9 = 0. What is the second smallest value in t, p, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**6\/120 + y**5\/60 + y**4\/24 + 41*y**3\/6 - 2*y**2. List the prime factors of z(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttat when four letters picked without replacement from ttttatttatt?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 188*o - 4. Let t(n) = -2*n**2 + 190*n + 3. Determine -3*a(w) - 4*t(w).\nAnswer: 2*w**2 - 196*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 2 l when four letters picked without replacement from ppplltknxnpk.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (6 - (3 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14104133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * 1583.7.\nAnswer: 190.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 511 + 3*i - 161 - 174 - 167 - 2*i. Determine a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7*w - 3*k - 11, -k = w - 1. Let d = 4 + -3.6. Which is the nearest to -0.3? (a) w (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 - n - 1. Let u(s) = 17*s**5 - 6*s**3 + 6*s**2 + 18*s + 6. Let h(d) = -6*l(d) - u(d). What is the second derivative of h(k) wrt k?\nAnswer: -340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 29*a - 52 - 23*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 4) + 3 - 3. Let f(n) = n - 2. Let c(v) = 4*v - 7. Calculate x*c(i) + 14*f(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-10))\/((-7)\/(175\/20)). What is the closest to 3\/4 in 2, g, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12040 divided by -415\nAnswer: 2408\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.4 + -10.2. Let g = 1.1 - 1. Which is the second smallest value? (a) w (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 11.9. Let p = -7 - -8. Let r = p - 1. What is the nearest to c in -3, 1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/212741 + 101051939\/3829338. Let j = a + -161\/6. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 14\/(-35)*-5 - -2. Solve -4*b + j = c, -4*b - 3 = -c - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*h + 19 = -318, 1653 = 5*w + 4*h. Suppose 0 = -5*o + 3*p - 91 - w, -3*p = -o - 84. Let c = 182 + o. Is c a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*l + 14, 0*l - 2*l - 1 = -5*j. Let r(y) = 359*y - 183*y + y**2 - 188*y - l - 10*y**2 - y**3. What is r(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -81\/7, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/657 + 661\/1314. Let u(h) = -h - 4. Let i be u(-6). Which is the nearest to i? (a) 3\/5 (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*s - 426 = -4446 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 17*y**2. Let i(l) = 28*l**2. What is i(h(w))?\nAnswer: 8092*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3705, 2\/7 in decreasing order.\nAnswer: 2\/7, -1, -3705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**4 - 3*v**2 - v - 1. Let j(h) = -717*h**5 + 18*h**4 - 108*h**2 - 7*h - 6. Let a(m) = -j(m) + 6*z(m). Find the third derivative of a(f) wrt f.\nAnswer: 43020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -625 divided by 6.\nAnswer: -625\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 16. Let m = 4 + z. Let r(t) = -t + 4. Let l be r(0). Solve -3 - m = -l*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 77\/5 of a kilometer?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(30) - (sqrt(1920) + sqrt(1920)*-2)))\/(sqrt(120)\/sqrt(108)) + -4.\nAnswer: -81*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 691738656 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 44*h**5 + 8708*h**4 + 498916*h**3 + 6504412*h**2 + 5463360*h - 550800 = 0.\nAnswer: -90, -17, -1, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 + 242.9764. Let q = -0.008 + t. What is q rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 886.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*x - 42 = 7*x, -4*a + 4*x + 56 = 0. Calculate the remainder when a is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19339 and 1162.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekekkeuekueeu. What is prob of sequence eue?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - a**2 - a + 2. Let m be k(0). Suppose m*y = 5*y + 3. Is -0.1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5276 + 97?\nAnswer: -51ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -11*n**2 - 5*n + 10. Let c(r) = 9*r**2 + 4*r - 8. Let p(t) = -4*a(t) - 5*c(t). Let j(q) = -16*q. Calculate j(p(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51330 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/((-65527)\/(-1110))*((8\/10)\/2)\/2.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2\/3, 33, 0.21?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5965887386.2 and 151?\nAnswer: 5965887537.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*d*f**3*t**3 - 3*d*f**3 - 16*d*f - d*t**3 + f**3*t**3 - 11*f**2 wrt f?\nAnswer: 816*d*t**3 - 18*d + 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-39)\/(-18) - 385\/(-42). Suppose 0*j + 3*j - c = 0. Suppose 0*y - 149 = -j*x - y, 5*y = 2*x - 105. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 15. Which is the biggest value? (a) -0.4 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4273 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -2634054.\nAnswer: -2634049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 29*c**2 - 7*c - 5. Let l(q) = -3*q**3 + 43*q**2 + 10*q + 7. What is -7*k(d) - 5*l(d)?\nAnswer: d**3 - 12*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 4 + 15 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, u: 4, c: 5}. What is prob of sequence uuxu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v + 17. Let g(y) = -25*y + 33. Let k(s) = 2*g(s) - 5*l(s). Let d be k(0). Let w = 28 + d. Which is smaller: 0.6 or w?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1.4. Let i = o - -0.8. Let k = i - 0.4000007. Round k to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 614, 636, 466, 104?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**7\/42 + u**6\/15 - u**5\/20 + 3*u. Factor d(x).\nAnswer: -x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 3, -34, -109, -234, -421, -682?\n\"Answer: -2*n**3 - n**2 + 6*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 - 7*t**2 + 8*t - 6. Let u(c) = 2*c**3 - 6*c**2 + 7*c - 5. Suppose -2*y + 45 = 59. Calculate y*u(z) + 6*i(z).\nAnswer: 4*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1182985934 divided by 2.\nAnswer: 591492967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-8)\/5 - 42\/30. Let l(o) = o**2 - o - 6. Calculate l(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 333.44 to the nearest integer.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131873, 263706, 395539, 527372, 659205?\nAnswer: 791038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53740 and 9220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/7))**(-43)*(u*u\/(u*u**(-2\/19)*u)*u*u)\/(u*u*u\/(u\/(u*u**(4\/9)\/u))*u))\/(u**(-6\/5)\/u*u**(-2\/15))**(-1\/4) assuming u is positive.\nAnswer: u**(-273913\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-21) - 6\/(-21). Let h = 2 - i. Suppose -4*p - h*o + 378 = 0, -p + 4*o + 39 = -65. What is the greatest common factor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s, -2*j = -0*j - 3*s + 7. Let z be 10\/j*(-30)\/(-75). Suppose -3*d + 50 = -5*w, -d + 19 = -2*w + 2. Solve o + z*o = d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 2*b**2 - 7*b. Let t be u(4). Find the first derivative of -t*a + a + 8 + a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370966 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {g: 4, q: 3, a: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*j - 82*j = -1. Let y(k) = -17*k**2 - 2*k - 1. What is y(j)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 2 + sqrt(500) + -3 + sqrt(500))**2.\nAnswer: -60*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + -3 - (1506\/(-1089))\/(-1). Let r = 6\/121 + f. Suppose 6*o = 3*o + 3. Which is bigger: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 16)\/(10 + -9). Let c = d - 25. Let n = -8 - c. Calculate the greatest common factor of n and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 2*m + 0*m)*(1 - 2 + 4)*(4 + 6 + 5 + (-2 + 1 - 3)*(0 + 1 + 2)) in the form b*m + l and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 446572 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 6*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 952086 and 13347?\nAnswer: 2856258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -28*t - 16. Let h be q(-6). Find the second derivative of -102*w + 21*w**2 + 48*w + h*w - w**5 wrt w.\nAnswer: -20*w**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63985067 - -42614063861\/666. Let n = -50510 + 16819843\/333. Let z = d - n. What is the common denominator of -71\/10 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1586)\/(-52))\/((-1)\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 35*w + 1. Let g be v(19). Suppose 6*x - 394 = -g. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1348500 and 57?\nAnswer: 25621500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(22\/(-77)*63\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:41 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 8*v - 4. Let x(y) = -3*y**2 + 7*y - 4. Determine -5*s(p) + 6*x(p).\nAnswer: -3*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4702932 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 194292583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 - 129. Let i be 4\/18 - 222\/27. Is ((-3346)\/(-4))\/(i\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/(3\/(-63)*3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -85 - (-49 + (-30 - -34))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13\/13*18\/30\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0*c**4 - 1\/30*c**6 + 0 + 0*c**3 + 0*c**2 - 1\/30*c**5 + 2*c + 10\/63*c**7. Let t(w) = 0. Calculate w.\nAnswer: -1\/4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 11 + 5 = 0. Let b(k) = -14*k + 573. Let r be b(39). Solve 4*z + r = -5*c, c + 24 = -3*c - g*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17460475, 34920951, 52381427, 69841903?\nAnswer: 87302379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1000023 (base 4) to base 15\nAnswer: 133c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -124. Suppose -2*o = 4*v - w, 3*o - 47 = -3*v - 2*o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 10*b**2 - 120*b + 473. Calculate r(4).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - 4*b**4 + 0*b**4)*(-4 - 7 + 9).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2931659?\nAnswer: 191, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 467 - 86393\/185. Let k = q + 169\/1480. Let y be 9\/(-60) + (-2)\/8. Which is the closest to -1? (a) y (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) - (-1 + sqrt(2)))**2 + sqrt(150)\/sqrt(3) + sqrt(20)\/(3*sqrt(640)).\nAnswer: 4 + 121*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**3 - 26*v**2 + 6*v + 11. Let b be j(-5). Solve 23*y = b - 114 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irr when three letters picked without replacement from irppipepppriry.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -2\/3, -175, -3\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*-2*(-8)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4\/2 - 2055*b**3 - 137889*b**2\/2 - 705480*b - 2289696 = 0.\nAnswer: -17, -8, 1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736722959.\nAnswer: 3, 83, 6974791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 1, t: 4, n: 5, r: 4}. What is prob of sequence rtnn?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 11 = -3*c, -4*c + 0*c = -5*p - 33. Suppose -4*n + 403 = -3*n - c*r, 2 = -2*r. What are the prime factors of n?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 127 (b) -1 (c) 0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 266*v**2 + 14*v - 1853. Determine x(133).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/20 and -69\/7622.\nAnswer: 76220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.048 + 0.048. Let f = 21.4 + q. Which is the third biggest value? (a) -3 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.75 + 1.651. Let w = 2.901 - z. Let d be (4\/(-10))\/(2*-1). What is the second biggest value in d, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(19) + -2) - sqrt(76)\/sqrt(4)*3)**2 + (-1 + 1*-1*sqrt(2299))**2.\nAnswer: -90*sqrt(19) + 3295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-370)\/(-4))\/(47\/((-4512)\/240))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001834 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15332 - 52735 = -1422*m - 1233 for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*u - 16, 16 = 5*j - 5*u + 6*u. Suppose -p - j = p. What is the tens digit of (p + 3)*69\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 83, 164, 235, 290, 323, 328, 299, 230?\n\"Answer: -s**3 + s**2 + 85*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 6*x. Let w be y(-3). Let u be 23\/(1\/(-2 + 3) - w). Let v = 68 + -22. What is the highest common divisor of u and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*c - 15 = 0, 1 = 2*n + 5*c - 0*c. Suppose 5*l + 42 = n*v - 149, v - 61 = -l. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -195, 10431 in increasing order.\nAnswer: -195, -9, 10431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 11*o**2 - 2*o**3 + 4*o**3 - 15*o - 7 - 2. Suppose -h = 2*c + 23, 2*h - 3*h - 59 = 5*c. What is the tens digit of u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 - -3*(2357 + 5). Calculate the greatest common factor of l and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 276, 3, -184 in descending order.\nAnswer: 276, 3, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/40)\/(228\/(-95))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 1200.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45e27 (base 15) in base 12?\nAnswer: a896a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195.58 + 199. Let j = -0.88 - r. Let o = j - -4.3033. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 = 3*f + n, -4*n - 8 = 0. Suppose 5*i + 5 + 15 = 0, 0 = -5*t - 5*i + 10. Suppose f*q = t*q - 66. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 - -119. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or 6502488?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 + -89. Suppose -841 = -4*w - 2*l + 5*l, d*w - 413 = 3*l. Let j = -4 + w. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 117457803.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let p(q) = -13*q - q**j + 5*q - 1 - 7 + 1. What is the units digit of p(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153152.6618 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7*w - 4. Solve 0 = -w*o - 3 + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*w + 9, 5*x + 10 = -0. Solve 4*q - 10 = -2*u, 5*u + 2*q + 2 - w = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 3*f, 0 = 10*s + 11*s - 31*s + 5*s - 4*f + 112 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/((-2)\/(-24)). Let m be (4\/(-6))\/((-1)\/5). Is j equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb7 (base 12) in base 8?\nAnswer: -3273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96078193 and 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 111649710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*b + 9, -b + 3*b - 19 = -3*f. Suppose -5*l + 213 = -b*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in -41\/3, -2\/1001, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -39131993458609?\nAnswer: -39131993458609.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -940 by 10.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50355513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62157807 take away -0.52?\nAnswer: 1.14157807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/15 and (0 + (-5)\/40)\/((-27)\/(-290)).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114597901.\nAnswer: 11, 17, 612823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2. Let y(o) be the third derivative of 0*o**3 + 1\/3*o**4 + 0*o + 12*o**2 + 0. Give y(t(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470, -388, -318, -266, -238, -240?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 258 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 7.06, 3, 5, 4\/25, -1\/5?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2340\/(-1053))\/(2\/(-3))*9\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let n(p) = 0*p**2 + 3*p**2 - p + i + 3*p - 2*p**2. Let c(w) = -2 + 3 - 12*w + w**2 + 14*w. What is 2*c(f) - 3*n(f)?\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -17*k**2 + 10*k + 8. Let z(x) = -16*x**2 + 8*x + 6. Calculate -4*b(c) + 5*z(c).\nAnswer: -12*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 8*i**2 - 7*i + 14. Let k be l(-9). Let m(u) = -19*u. Is m(k) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -6*i + 278, 106 = -4*i + 6*i - 5*y. What is the highest common divisor of 17552 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/8)\/((-3)\/24). Suppose -4*t = -g*t + 96. Suppose 2*n - t = 16. Calculate the remainder when 45 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -143*i**2 - 715*i + 11. Give f(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 + 3*q**2 - 8000*q**3 + 3997*q**3 - q + 4002*q**3 in the form r*q**2 + d + o*q + l*q**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*f - 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151477, 151483, 151493, 151507, 151525, 151547?\nAnswer: 151573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16572 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24375 and 18330.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 + -15.3. Let t = 14.3 + a. Let l = 1 + -1. What is the closest to t in 0.4, -4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*m = -53*m + 256*m - 12950 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -19*w**3 + 11*w**2 - 7. Let m(f) = 9*f**3 - 5*f**2 + 3. Determine 5*m(d) + 2*p(d).\nAnswer: 7*d**3 - 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/1)\/(-3)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20241520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a decade in years?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q - 3 - 9\/20*q**5 - 1\/4*q**4 - 3\/2*q**2 + 1\/3*q**3. Find the second derivative of m(c) wrt c.\nAnswer: -54*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.1. Let r = w + 0. Let o(f) = f**2 + f + 1. Let q be o(-1). Sort q, r, 1\/3.\nAnswer: r, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3))**41)**35*((q**2)**(7\/4))**(-22\/3) assuming q is positive.\nAnswer: q**(-2947\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 33. Let v be x(-9). Suppose 4*m = -3*u - 11 - 15, -m + v*u - 14 = 0. Let z(k) = -k**2 - 9*k + 3. Give z(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 44.6. Let d = -0.6 + f. Let n be (-2)\/((-1)\/(3\/(-8))). Which is the smallest value? (a) d (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3510 = 18*s - 8*s. Suppose -u + s = 5*x - 3*x, -2*u = -x - 722. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmgi when four letters picked without replacement from {g: 5, i: 3, c: 4, o: 1, m: 1}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16636*c**2. Let y(m) = m**2. Determine a(y(b)).\nAnswer: 16636*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 3) to base 16.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cojt when four letters picked without replacement from {j: 1, c: 1, t: 4, o: 1, b: 1, y: 5}?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*r + 72, -110 = -r - 95 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -683 + 677 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5771 + 106*b - 688 - 1808 - 108*b in the form t*b + z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**2 + 32*h + 11. Let v be x(8). What are the prime factors of (-3)\/((-6)\/(-37))*(-15 + v)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*o - 18, 21 = f - 0*f + 4*o. Suppose -2*d - f = -19. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 3. Let k(a) = 6 + 2 + a - a - a. Let b(c) = c - 15. Let f(d) = -3*b(d) - 5*k(d). Give 5*f(z) + 8*m(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:54 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Solve -f*x = 2*x + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/889?\nAnswer: 11\/889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1395 = 3*f + 6*f. Suppose -p - 4*b = -f, 0 = -3*p - 0*b - 3*b + 492. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3814622.\nAnswer: 2, 7, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194760 and 60.\nAnswer: 194760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**6\/3 - 28*h**5\/5 - 69*h**4\/2 - 280*h**3\/3 - 100*h**2 + 67. Solve k(r) = 0 for r.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w - 5. Suppose 2*h - 24 = -0*h. Calculate the remainder when o(-4) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4792811934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81837573 divided by -27279191.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -7 - (-66 - -49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71180 divided by 20\nAnswer: 3559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81767 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74080 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 10390.813 and 23604.\nAnswer: 33994.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96827 is divided by 421?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 + t + 14. Determine g(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 2, b: 1, g: 3, j: 1, v: 3}. What is prob of sequence jd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:08 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c\/(c*c*c**(-7)*c))\/c*c)\/c))\/(c*c\/(c**(3\/2)\/c)*c)*((c*c**(-3)*c*c)\/c)\/((c*c**5)\/c) assuming c is positive.\nAnswer: c**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 24\/9*3. What is the nearest to -1 in p, 0.4, 16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-84)*-5*-20\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812*p - 80 = 828*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -422410, -1689654, -3801712, -6758578, -10560246, -15206710, -20697964?\n\"Answer: k**3 - 422413*k**2 - 12*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.58774 nanograms in milligrams?\nAnswer: 0.00005558774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*z = 17*z + 44. Suppose -12 = 41*u - 42*u - z*l, u - 4*l = -18. Factor 0*r + 0 - 1\/2*r**u - 3\/2*r**3 + 2*r**4.\nAnswer: r**2*(r - 1)*(4*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94\/(-60) + 1 - (-221)\/442\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-3)*n**(3\/4)\/(n\/n**(1\/2)) assuming n is positive.\nAnswer: n**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 355177 - 177586 - 1292*v - 177591 as s*v + i and give s.\nAnswer: -1292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 84*r**2 + 124295*r - 36993. What is v(-1480)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1285 - 1939 = -31*k. Calculate the highest common divisor of 1196 and k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < -3\/184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/25)*n)\/n*n**(1\/15))\/(n**(-8\/3)*n*n**(1\/21)) assuming n is positive.\nAnswer: n**(484\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/63 + -1 + (-4)\/18\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Let m be j(3). Let i(q) = -7*q - 5. Calculate the remainder when 68 is divided by i(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c + 38. What is u(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39\/5 + -117\/10. Suppose -21 = -3*c + 5*v, -2*c = -2*v - 12 + 2. Calculate the common denominator of c + (0 - 166\/16) and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 35. Which is the biggest value? (a) 0.3 (b) 1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 22 = -199. Let o = x + 63. Let q(i) = 2*i. Let z(d) = -9*d. Let j(c) = -26*q(c) - 6*z(c). Determine j(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 1 = 3*u + 3*q, 0 = -u - 4*q + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12574, 50359, 113334, 201499, 314854, 453399, 617134?\n\"Answer: 12595*u**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1179173, 1179172, 1179171, 1179170, 1179169, 1179168?\n\"Answer: -j + 1179174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 5 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000667764 rounded to 6 dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 34. Let o(p) = -2854*p + 2869*p + 2 - 2. Calculate a(o(u)).\nAnswer: -30*u + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 0 - 10. What is the tens digit of -2 - (4 + l - 47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/2 - 377504*b + 71254635008 = 0?\nAnswer: 377504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from swtset.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68296, 68286, 68278, 68272, 68268?\nAnswer: 68266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2529240 and 15540?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 3660*b**3 + 18425*b**2.\nAnswer: -5*b**2*(b - 737)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 19*j**2. Let n(y) = -19*y**2. Determine -6*n(v) - 5*u(v).\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f - 3*f**3 + 46*f**4 - 3*f**2 + 4*f**3 - 45*f**4 to k*f**2 + b*f + r*f**4 + a + x*f**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 11394*z + 56939. Determine b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*j + 7*j = 27, -2*f = 4*j - 18. Let g be ((-16)\/2)\/(-2 + 0). Suppose -8 = -k - g. Solve f*s - k = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, 3, -3, 0.2, 4\/147 in increasing order.\nAnswer: -3, -4\/11, 4\/147, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 4*r**3 - r - 2*r**3 - 6*r**3.\nAnswer: -5*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j - 4 = 0, -5*k - 374 = j. Let z = 270\/31 + -4175\/248. What is the common denominator of k\/36 + (-12)\/3 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - -1) + -67 + (-36 - -61).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -463 - -13a921?\nAnswer: 13a48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 116*i - 42. Let d(c) = -24*c + 18. Let u be d(3). Let n = u - -66. Let h be g(n). What is h rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12376, 12375, 12374, 12373?\n\"Answer: -u + 12377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -1150, -2585, -4594, -7177?\nAnswer: -10334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34 + 31)\/((-15)\/1490). Solve 294*h - k*h = -5*f - 4, h + 5*f + 24 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(162) + -2 + 4 + sqrt(162) - sqrt(162)) + (sqrt(162)*-3 + sqrt(162) + -2)*-1)**2 + 1.\nAnswer: 486*sqrt(2) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1443097*-0.1.\nAnswer: -0.01443097","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 2094 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 407 = l, -l - k - 408 = -2*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63639554 is divided by 749.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -11) + (2 + -3 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1552560921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/49 and (-2)\/(-12) + (-20886)\/308511.\nAnswer: 8134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1228 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axoa when four letters picked without replacement from ohaoxwaahdaxxx.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12933 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121*n**5 - 122*n**5 + 62*n**5 - 75*n**2 wrt n.\nAnswer: -10860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.1 + -32. Suppose 34 - 10 = 8*m. What is the nearest to 0 in v, -2\/9, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -528 divided by -4\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(117)\/sqrt(3))\/sqrt(3) + -5 - ((5 + sqrt(52) + sqrt(13))**2 + (sqrt(13) + 0 + 5)**2).\nAnswer: -185 - 38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29685a (base 11) in base 16?\nAnswer: 7102a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + o - 2*o)*(2*o**2 - 4*o**2 - o**2) - 46*o**3 - 71*o**2 + 3*o + 71*o**2 as s + d*o + n*o**3 + p*o**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9836 times 11?\nAnswer: 108196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3494*r + 45428. Determine d(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aftt when four letters picked without replacement from faafaaftaaaafaaatfaa?\nAnswer: 13\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 173, 134, 59, -64, -247, -502, -841?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -339989\/8339588 + -7\/50748. Find the common denominator of 5\/306 and f.\nAnswer: 8874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002564924412 rounded to seven decimal places?\nAnswer: -0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 4*k**2 + 6*k + 7. Let v be f(-3). Let c be (-25)\/v*(3 + 1) + -1. What is the closest to 10 in 1\/8, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 99866 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1261 + -1240. Is 14 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0.3, 3, -4\/63?\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*s = 2*h + 159*s, h - 2 = -s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2155.3 - -2155. What is the nearest to -8 in 88, 3\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 28 + 32 - 4*f)*(-f**3 + f**3 - 2*f**3).\nAnswer: 8*f**4 - 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1795 take away 221.55?\nAnswer: -221.7295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 75. Solve -2*l = v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 4638201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*p**2*t**3 + 2*p**2*t**2 + 65*p**2*t + p*t**4 - 9*t**4 + 2*t**2 wrt t?\nAnswer: -168*p**2 + 24*p*t - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -63, -105, -161, -231, -315?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 3789.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490887 is divided by 14615?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30154 - 3?\nAnswer: 30151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 35*f**2 + 5118*f - 231. Determine r(-146).\nAnswer: -1399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000018237436 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 9*m**2 - 7*m - 6. Let d = -17 + 25. Let v be b(d). Let k = 126 + v. Let p(t) = t**3 - t**2 - t - 4. Determine p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(3\/(-18)). Suppose -5 + 13 = d*p. What is the smallest common multiple of 2 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29.8996 and -34833.\nAnswer: -34803.1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -111 - 14. Suppose d + l = -4*d. Let r = -2 - d. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000165815 to six decimal places.\nAnswer: 0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40*-16.4\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3494 - 142 = -15*c + 419*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**7\/1260 - c**6\/360 + c**4\/12 - 7*c. Let z(t) be the third derivative of w(t). Factor z(k).\nAnswer: -2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -438*q**3*x + 15127*q**2 - 2*q*x + 258319*q wrt q.\nAnswer: -2628*q*x + 30254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 1, n: 3, l: 1}. What is prob of sequence nnnu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -31*p + 9*p + 10*p + 16*p. Let v(l) = -15*l. Calculate v(x(w)).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(2\/19))\/(l**12*l))**(5\/4))**(-49))**(-33\/5) assuming l is positive.\nAnswer: l**(-185955\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**5 + 5*b**2 + 26 - b**2 - 26 wrt b.\nAnswer: -240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7490385125*v**4 - 14979996150*v**3 - 7488836945*v**2 + 774060*v - 20.\nAnswer: -5*(v + 1)**2*(38705*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51237588*f + 5*f**2 - 51237588*f + 3 - 3.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2 + 107412*h + 1442167218 = 0.\nAnswer: -26853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syzsoszosss. What is prob of sequence zo?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-38)\/10 + 2)*-5. Suppose k = f*k + 48. What is the third biggest value in 2, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4398\/5 + -892. Find the common denominator of 7\/52 and t.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -571 <= -1331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 21 = -3*i, 3*i = -0*i - 3*b + 15. Is 14 a factor of (-7)\/56 - (-113)\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450301 is divided by 137?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -21, -61, -139, -267, -457, -721?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r = 81*r + 4. Suppose -r + 25 = 6*v. What is the nearest to -2\/9 in v, -3\/4, 0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102011202202 (base 3) in base 14?\nAnswer: 5a257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0 + 0*m**4 + 0*m**3 + 0*m**6 - 1\/56*m**8 + m**2 + 13\/60*m**5 + 0*m**7 + 0*m. What is the third derivative of x(z) wrt z?\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 76475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/30 + 5*o**4\/12 - 11*o**3\/6 - 3*o**2. Is k(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 3*q + 38. Suppose 0 = -h - t - 1, -5*h - 2*t + 0 = -7. Find the second derivative of q*p + 19*p - 16*p**h - 35*p wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) -2\/3 (b) 0.5 (c) 2\/11 (d) 1026 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -50*u + 36. Determine n(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 982205 and 5893230?\nAnswer: 5893230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f**2. Let p(q) = -1266823*q. Determine p(o(s)).\nAnswer: -13935053*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 661 divided by 1\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264364*l - 2*u - 27 = -264367*l, 8*l - 5*u - 65 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90*m**3 + 50 + m**2 - 15 - 2*m - 30 wrt m.\nAnswer: -540*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = 11, -7*k - 5143710 = -3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z + 52. Let x = z + 14. Calculate the remainder when x is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7128 is divided by 287?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 25307249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -33, -24, -17, -5 in ascending order.\nAnswer: -33, -24, -17, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161*v**2 + 54*v**2 - 27*v**2)*(v - 6*v + 0*v).\nAnswer: -940*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -11.13. Let r = -0.07 - n. Which is the second smallest value? (a) r (b) -5 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10057 is divided by 2355?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -29*o + 20. Let y(c) = 30*c - 21 + 8*c - 10*c. Let z(j) = -3*h(j) - 4*y(j). What is the first derivative of z(n) wrt n?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4375 (base 8) in base 5?\nAnswer: 33201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13214*y**3 + 26*y**2 + 67455 wrt y.\nAnswer: 39642*y**2 + 52*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*u - 2069 - 30324, -5*u + 53951 = -3*w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/(60\/(-300)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -223 + 676\/3. Sort -0.2, s, -0.3.\nAnswer: -0.3, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 275 = -5*h + 268, 2*d = -h - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054 divided by -10?\nAnswer: 527\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33773*t**5 + 53*t + 19.\nAnswer: 675460*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 2)*(-825)\/(-330). Suppose -11*w = -6*w - 20. Suppose -w*o + 2*j = 5*j - 140, 2*o - 70 = -5*j. Calculate the highest common factor of o and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21826368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19635 - 2362. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94191520 + 94191512.3742571. Let d = 24.62574334 + v. Let m = -17 + d. What is m rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1235608 and 121\/53208.\nAnswer: 11120472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118544?\nAnswer: 2, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**2 - f + 2. Let c(o) = -10*o**2 - 2*o + 2. Determine 3*c(s) - 4*y(s).\nAnswer: 6*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29647*w + 29646*w. Let l(p) be the second derivative of 0*p**3 + w + 13*p**2 + 11\/4*p**4 - 11*p. Find the first derivative of l(k) wrt k.\nAnswer: 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 5\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -13*w - 19. What is u(-11)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31937 is divided by 7984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3580441421626620 - 3580441594533752.0000049. Let a = x + 172907097. Let t = -35 - a. Round t to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 73683231\/147366390. Let t = h + 22227708133\/227975805330. Let z = 1\/442 - t. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = 0, -3*s + 5*r + 80395 = -s + 80422 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/8254996 and 33\/203422.\nAnswer: 255904876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 159*v**2 - 11. Let h be (4\/(-12)*(-3 - 2))\/(215\/1419). Let o(m) = 32*m**2 - 2. Determine h*o(g) - 2*d(g).\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -156558, 3, 2 in increasing order.\nAnswer: -156558, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -245*s**2 - 41336330*s - 1743563446805 = 0?\nAnswer: -590519\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/15*10\/1. Suppose -c = -l - 0 + 5, 0 = f*l - 3*c - 25. Calculate the remainder when 27 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2. Let u(s) = -269*s - 2. Calculate v(u(r)).\nAnswer: 361805*r**2 + 5380*r + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11890*z**3 + 11672*z**3 - 23563*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49394, -49366, -49340, -49316, -49294?\n\"Answer: -o**2 + 31*o - 49424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5\/2))**6\/(h**(-18)*h\/(h**(-1\/2)\/h)))**(8\/3) assuming h is positive.\nAnswer: h**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let w(a) be the third derivative of 0 - 1\/24*a**3 + o*a**2 - 1\/240*a**5 + 0*a + 1\/48*a**4. Factor w(l).\nAnswer: -(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*w**2 + 10*w**2 + 6*w**5 - 11*w**5 wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 4*m + 25. Let w be i(0). Let k be w - (-4)\/24*-6*1. Calculate the greatest common factor of 104 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5 - 345*c**3 + 335*c**2 - 35240*c - 5.\nAnswer: 40*c**3 - 2070*c + 670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 360, 637, 916, 1197, 1480, 1765?\n\"Answer: a**2 + 274*a + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(9\/12 - 0). Let t = -40 - -139. Let d = q + t. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 101*s**4 + 2944*s**3 - 19044*s**2.\nAnswer: s**2*(s - 46)**2*(s - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/((-5096)\/(-10920))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -52 (b) 2\/3 (c) 49075 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1760 and 240?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 4*s - 7. Let t be (-3)\/(28\/(-8) - -3). Let b be f(t). Sort b, 4, -6.\nAnswer: -6, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 1857*o - 1862*o - 45, 5*o - x + 45 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5169, -8642, -12129, -15636, -19169, -22734, -26337?\n\"Answer: -r**3 - r**2 - 3463*r - 1704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*h - 2*h + 239 = 0, 0 = 5*p - 4*h - 227. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 161.934 and -2168?\nAnswer: -351072.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 4. Suppose 0*r = -r + 3. Let v be w(r). Suppose v*z + k = 47, -11 = -4*z + 4*k + 41. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/1612596 and 8\/3628341.\nAnswer: 14513364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -165694 smaller than -165692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*u - 436 = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 19 - 5*h + h**2 + 27*h - 5*h. Let l be s(-16). Suppose l*f + 4*y - 287 = -2*f, 0 = -4*f - y + 234. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 132 = 4*v. Suppose -5*h + 78 = 4*c, 0 = -5*h - 0*c + v*c + 64. Calculate the highest common divisor of 154 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = -44*d + 407 + 321 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 6*m**2 + 6*m - 4. Let u(z) = z**3 + z**2 + z - 1. Give 6*u(g) - y(g).\nAnswer: 7*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5107 is divided by 567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266091637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3, -4*g + 24 = -a - 3*a. Suppose -411 = -j + z, -z + 450 = g*j - 791. Suppose d - 2*d + j = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(21\/21))\/(-18*1)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x + 4. Let r(m) = -6794*m**2 - m + 6835*m**2 + m. Give p(r(k)).\nAnswer: -328*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1389*a + 1402*a + 1 + 3*a**2 + 24*a**3 - 2798*a in the form y*a**2 + w*a**3 + m + g*a and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -9 - 3) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-2)*(-6)\/9. Suppose -w + 17 - 7 = 0. Suppose -2*g + d*g = w. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8143 and 1020749.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 513214.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51562.\nAnswer: 2, 7, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*x - 1, 5*q - 9*q + 16 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13936 is divided by 13919.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/937359 and -101\/6?\nAnswer: 1874718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12336 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 - 1074 = 172*q + 1510 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1812502*p - 16. Let x be 3 + 11 + -2 + -4. Let m be u(x). Round m to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 33.1428693 and 2.\nAnswer: 35.1428693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -4. Let u be (g\/(-2))\/(12 + -297). Let v = -6\/19 + u. Is v at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j**2 - 3*j - 4. Let v be d(3). Suppose v = -5*h + 203. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*a**3 + 111*a**3 + 113*a**3 + 5*a**3 - 3*a**3.\nAnswer: 184*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 3*c**4\/4 + 3*c**2\/2 + 1. What is the second derivative of v(a) wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iooo when four letters picked without replacement from iooooooo?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256524 is divided by 3338?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p + 25 = 0, 3*p - 39 = -4*m. Suppose -2*g - 48 = -4*l + 12, 0 = -4*g - 8. What is the smallest common multiple of l and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - u**3 + 2*u + u**4 - 2*u**2 - 93 as y*u**3 + s*u**2 + z*u**4 + n*u + v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -782 divided by 34\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27892 and 629964?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7001900 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/11*c**2 + 126\/11*c + 162\/11 + 2\/11*c**3.\nAnswer: 2*(c - 9)**2*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 6:12 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/35)\/(90\/(-315))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((3 - 7) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -361*f**3 - 272*f**3 + 1 - 79*f**2 + 251*f**3 wrt f?\nAnswer: -2292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -124566 or -124487?\nAnswer: -124487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, and 1 r when three letters picked without replacement from rlnurlulululnllllll?\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-37)*z\/((z\/z**(-2)*z)\/z))\/((z*z\/(z*z**(-29)*z)*z)\/z**(-9\/7)) assuming z is positive.\nAnswer: z**(-485\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**44*((l*l\/(l\/(l\/((l*l**(-2\/9)\/l)\/l)))*l)\/l)\/((l**3\/l*l)\/l) assuming l is positive.\nAnswer: l**(803\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 980\/3 < 328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -648.58\nAnswer: 1297.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 870\/(-87)*(-3)\/21*-1.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/18*(-6)\/8. Is -5 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/85, 4, -0.1, -681, -3 in ascending order.\nAnswer: -681, -3, -0.1, 2\/85, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73055 + -73055.00039193. What is t rounded to five dps?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23659.75514 - 1.03\nAnswer: 23658.72514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/7 - 20*a**2 - 1392*a\/7 = 0. Calculate a.\nAnswer: -58, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 1422*n**2 + 2128 - 1086*n**4 + 1419*n**2 - 2841*n**2 wrt n.\nAnswer: -4336*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 77, -2, 2, 835 in decreasing order.\nAnswer: 835, 77, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11030 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1290, -5, -31 in ascending order.\nAnswer: -31, -5, 1290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Suppose 195 = 5*x - 0*x - 3*q, 0 = 5*x + h*q - 225. Let y be (x\/4)\/(33\/44). Calculate the greatest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfv when three letters picked without replacement from vffffffffvvf?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2204*z - 16 = 2208*z, -5*b + 5*z = -3 - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*z - 103 = 0, 5*z + 111 = 4*n - 327. Let c = 318 - n. What are the prime factors of c?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*15\/10)\/(27\/18). Solve o*x - y - 3 = -2*y, -5*y + 1 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81\/35 - -19\/7. Let r be (-8 - 1)*-2*(-3)\/9. Let d be ((-5)\/45)\/(2\/r) - 1. Which is the closest to d? (a) 4 (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6168 is divided by 6085.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-29)\/4)\/((-44)\/(-176)). Let j be 29 + 1 + (-5)\/4. Let q = j + u. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s + 23*s = 39*s. Suppose s = -3*b + 5*q + 2886 - 130, -5*b + 4612 = q. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 34 = -5*v + 40, 2*j + 4*v - 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5*30\/(-228).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Let v = -36 + 36. Solve -q = -v*q + w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 27*d**2 - 116*d - 198. Let f be a(31). Calculate the greatest common divisor of f and 4325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830166?\nAnswer: 2, 3, 83, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 719\/528 - 5\/176. Let l(u) be the third derivative of -1\/2*u**4 + 1\/15*u**5 + i*u**3 + 0*u + 0 + 8*u**2. Factor l(b).\nAnswer: 4*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 2*z)*(-59*z - 18*z + 49*z) + 4 + 11*z**2 - 4.\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -1\/4, 2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + x = 0, -9*x + 11*x = 4*k + 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -5*g**7\/6 - 55*g**6\/3 + 193*g**5\/4 + 835*g**4\/3 - 170*g**3 - 5232*g. What is r in n(r) = 0?\nAnswer: -17, -2, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 83\/((6\/(-153))\/2*-3). Let x = j - -1416. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.04 (b) 19\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -5 + 2 + -10 - -6 - -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 10*v + 14*v - 8 = 0, 5*v - 10 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101558 and 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3625 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 8\/143 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -244*m + 1467. Let j be l(6). What is the closest to 0.1 in 4\/5, -1\/6, j, -14\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -1.3, -31, -0.15, 2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/6 and -13\/773594.\nAnswer: 2320782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-3)*(-2)\/6*(-3069)\/(-682).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3924000 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95851)\/(-1456) - 21204\/7657) + ((-30)\/(-32) - 1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283 + -279. Suppose -c*j - 3 = 4*g - 15, 3*g - 3*j - 21 = 0. Solve -x - g = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/108*48\/(-20)*10\/(-16)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-92 - 68 + 10)*(3 - 3 + 2) + 1 - 6 + 1)*(0 + 0 + 2) + 5 - 2 + 0 + (1 - 6 + 2)*(2 - 1 + 0))*(2*l**4 + 2*l**4 - 2*l**4).\nAnswer: -1216*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 772 + -720. Calculate the smallest common multiple of h and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, e: 1, f: 2, u: 1, y: 1, n: 1}. What is prob of sequence nfyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61605 divided by -6.\nAnswer: 20535\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 5 (c) -0.05 (d) 0.2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -15*w - 9*w - 273. What is the nearest to -2 in -4, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -458 (base 9) to base 4.\nAnswer: -11321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165236 + 165235. Suppose r + 9 + 0 = 0. Let o be (3\/r)\/((-10)\/(-6)). Which is the smallest value? (a) 5 (b) o (c) s (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p + p + 2*c, -5*c - 5 = -4*p. Factor p*d + 0*d**3 - 3*d**3 + 5*d**3 - 2*d.\nAnswer: 2*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774929 bigger than 774930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 0*o - 187 + 35\/12*o**2 + 1\/18*o**3. Suppose g(a) = 0. What is a?\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)*w**(1\/4))\/((w**(-5\/2)\/w*w)\/(w\/(w**(2\/9)\/w))) assuming w is positive.\nAnswer: w**(839\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57366.\nAnswer: 2, 3, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 5*v + 6. Let t be f(3). Let o be (3004\/112)\/((-57)\/(-12)). Let c = 41\/7 - o. Is t greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -912812355*s + 963221528 wrt s?\nAnswer: -912812355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/429228 and -92\/536535.\nAnswer: 2146140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-71)\/(-2) + 5\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let y(x) = 3*x**2 - 2. Let g(q) = 48*q**2 - 33. Let m be 1602\/(-24) + 3\/4. Let h(a) = m*y(a) + 4*g(a). Calculate f(h(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-33) - (-1 - 1).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004209 to seven decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76680 by 54.\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*m = 124*m + 42. Suppose 2*o = -i + 1778, 5*i + m = -4. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -926.867 - 3470.5727\nAnswer: -4397.4397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958317787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (579\/(-3281))\/((-420)\/170)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*n**6*r**3*z + 25*n**4*z - 4*n**2*r**3*z - n**2*z + 2*n*r**3*z wrt n?\nAnswer: -360*n**3*r**3*z + 600*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 52*x - 316. What is d(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*k**2 - 115*k**2 - 108*k**2 - 111*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.2 (b) -4 (c) -1.79 (d) -157\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Let i be 12\/(-78) - (-5 - -71*(-19)\/(-273)). Sort -3\/8, i, -4, f.\nAnswer: -4, f, -3\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 980*f**2 - 6*f**3 - 2*f**3 - 1961*f**2 + 992*f**2.\nAnswer: -8*f**3 + 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.2233 kilometers to nanometers.\nAnswer: 95223300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - 29*u**2 - 25*u - 1. Let n be i(15). Let j = n + 212. What are the prime factors of j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1646666.29 and 0.3.\nAnswer: -1646665.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + n - 1. Let i(o) = -o**3 - 9*o. Let w(z) = 4*c(z) + i(z). Calculate the smallest common multiple of 5 and w(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 2, 0, -5 in increasing order.\nAnswer: -5, 0, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/((-2)\/(-504)*3). Calculate the greatest common divisor of 56 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1056 = 2*m, -4*k - 20*m = -18*m - 1422. Let r = k + -350. Put 5, -6, -4, r in descending order.\nAnswer: 5, r, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 4*w - 9. Suppose -x + 4*x - 5*z - 56 = 0, 3*x - 3*z = 48. Let t = x - 20. What are the prime factors of y(t)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 8. Differentiate 3*c - d + 8 + 1 wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = 2. Suppose -y*l + 17 = 4*k - 19, 2*l - 16 = -k. Calculate the highest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 - 5*r**2 + r**2)*(-14*r - r - 36*r) + 0*r**3 + 0*r**3 + r**3 + (-2*r + 4*r - r)*(2*r**2 + 5*r - 5*r).\nAnswer: 411*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 - -1370930506762.\nAnswer: 1370930506761.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2856525 = -13*v - 2857331 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 4) + 60 + -29 + -22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 0.31. What is the nearest to -0.1 in 0.4, n, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37090.9999948146 + -37091. What is i rounded to 7 decimal places?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 1. Let d be 1*(3 - -1 - 4). Is -55*(1 + c - d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -389, 5, -2\/55, -5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 323?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/3)\/(0 - 2). Let q = 2825 + -2817. Solve 2*n + q = -b*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(242)\/(sqrt(704) + sqrt(704)*2 + sqrt(11)))\/(sqrt(132)\/(sqrt(1452)*-2)).\nAnswer: -88*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*k + 6, -17 = -2*y + 4*k - 29. Solve 4 = 2*q - y*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-873)\/582 - -5*(-28)\/8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1832 - -2575. Suppose 4*y = x - 7. What is the highest common divisor of 23 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 3\/7, 0.4, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, 3, -2, 5, -5, 4 in increasing order.\nAnswer: -120, -5, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(190)*2)\/(sqrt(20)\/sqrt(2)*2 - sqrt(10)) + -2 + sqrt(304) + 0 + sqrt(76) + sqrt(19) + 1)**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(-4*(sqrt(132) + 1*sqrt(132))*2)\/(-2*sqrt(12)*-1 - sqrt(48)\/(sqrt(12)\/sqrt(3))))**2.\nAnswer: 281600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yprkktkprrtrvv. Give prob of picking 1 t and 2 k.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzyzzyzz. What is prob of picking 2 z?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6349431 or -6349432?\nAnswer: -6349431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-5\/3)*n*n*n\/(n\/n**(-2\/31))*n**(-21)*n**(-4\/11) assuming n is positive.\nAnswer: n**(-17147\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259148.\nAnswer: 2, 17, 37, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - -28. Let p(s) = y*s - 51*s - 32*s. Let x(r) be the third derivative of -r**4\/8 + 2*r**2. Calculate x(p(d)).\nAnswer: -39*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/14*(-2)\/(-3). Let d be (-2)\/(-4) + (-6)\/28. Find r such that -d - 2\/7*r**2 - h*r = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o - 570 - 2042 = 83 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 k when four letters picked without replacement from kvvccrvorcccgcvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 1341*u**3 - 3396*u + 3396*u.\nAnswer: 1341*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*s**2 + 1953*s - 1954*s + 2*s**3 + 2 + 3 as a*s + f + g*s**2 + h*s**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -11*(490\/77 - 6). Sort t, 5, -112, -3 in decreasing order.\nAnswer: 5, -3, t, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 4. Solve -3*k = 5*b + 28, -i*b - 14 - 12 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*(sqrt(192) - ((2 + sqrt(192))**2 + 2)) + ((sqrt(192) + -1)**2*4 - (-1*sqrt(192) + 5)) + 0.\nAnswer: -1609 - 344*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7637 divided by 7\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70707242*k**3 - 10168471*k**2 - 2 wrt k.\nAnswer: 424243452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 9:29 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i = 10. Let l be (-8)\/(-6)*42\/28. Suppose i*h - 70 = -l*o, -14 - 21 = -h + o. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -7381, 1 in decreasing order.\nAnswer: 1, -89, -7381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -25 in descending order.\nAnswer: -1, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 1\/2*n**2 + 1\/3*n**3 + 0 - 1\/12*n**4 - 7*n. What is t(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 26\/735 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 105*x**2 - 270*x + 308. Is 77 a factor of v(101)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 2070*f + 10400.\nAnswer: -2*(f - 1040)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1415335662 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 + -228. Suppose -q*i + 305 - 308 = 0. Which is the closest to -3\/4? (a) 0.4 (b) -2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -267048 by -89016.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - y**2 - 2*y**2 + (0*y - 2*y + 4*y)*(-4*y + 2*y + 0*y + (-2 - 3 + 4)*(-2*y - 4*y + 4*y) + 0*y + 6*y - 4*y) - y**2 + 3*y**2 - 4*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100011101111000001101 - 1111?\nAnswer: 10001100011101110111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5960851?\nAnswer: 13, 19, 24133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -248500 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(374)\/(sqrt(11) + (sqrt(11) - sqrt(77)\/sqrt(7))))\/sqrt(1152).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -12*s + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 4*w**2 - 2*w**2 + w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7172187685\/68376 - 1404659\/777. Let t = 106700 + l. Calculate the common denominator of t and 28\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 36. Is 194 + s\/1 - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31940 at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88667.90082 + -8566511.900924. Let v = -8477816 - q. Let j = v - 28. What is j rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 661, 1321, 1981, 2641, 3301, 3961?\n\"Answer: 660*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 - 2*o**4 - 5*o**4 + (-4 + 2*o**4 + 4)*(2 - 1 + 0) in the form g*o**4 + z*o + r + v*o**3 + q*o**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -1985*b**3\/3 - 1262*b. Let i(c) = -2*c**2. Give q(i(t)).\nAnswer: 7940*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1760)\/11)\/(-20))\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10118.\nAnswer: 2, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 = -2*t + 4*m, 0 = -t + 4*m - 2. Let v be 0 - (-3 + 1 + -4). Suppose 46 + v = t*r. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286 + 177. Suppose 2*c + 85 - p = -4*g, 5*c + 2*g - 929 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 7*q**2 - 2*q - 6. Suppose 5*i - 4 + 37 = -3*p, -3*p = 4*i + 27. What is c(i)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:34 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/60)\/(8\/(-10))*8. Does 4 divide -1*(-2)\/(r - (-408)\/202)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 447 - 1?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1946\/35)\/(1\/(-5)). What is z rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000270333 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, m: 4, y: 1, v: 1}. What is prob of picking 1 v and 1 m?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2270317, 1 in descending order.\nAnswer: 3, 1, -2270317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/5 - 4*g**4 - 18*g**3\/5 = 0. What is g?\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 4*o**2 + 4*o - 3. Let j be m(-5). Let c be 7*(j + (-22)\/14). Solve -7*l + c*l = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 17. Let u(h) = 13 - n + 3*h - 7. List the prime factors of u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 + 115. Suppose 4*d + 443 = j*p, p - 7*d + 2*d = 144. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 + 0.67. Let z = g - 0.40028. What is z rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -59 + 0\/5 + 0 + -1. Calculate the common denominator of (-321)\/t - (1 + (-4)\/20) and 89\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 - 166. Suppose -n = -106*d + 101*d. Calculate the highest common factor of 49 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 - -45 - (195 - 82)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6397*x**3 - x**2 + 4*x - 4. Let p be i(1). Suppose 0 = -5*r + d + p, -6*d = 3*r - d - 3832. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22274 and 1702.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -154, -165, -190, -235, -306, -409?\n\"Answer: -k**3 - k**2 - k - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 100*a - 7665. Give h(-51).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2*-633)\/((-8)\/560). Let l = 10255 + z. What is l rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778165277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g**3 + 3*g**2 - 6*g + 7. Let l(j) = -18*j**3 - 4*j**2 + 7*j - 7. Let x(r) = -3*l(r) - 4*y(r). Find the second derivative of x(s) wrt s.\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2294, 2287, 2276, 2261, 2242?\nAnswer: 2219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 38 + 8*b)*(-6*b + 11*b + 8*b) + 7*b + 3*b - b**2 - 3*b.\nAnswer: 103*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-40)\/(-14)) + -1. Let q = b + 209\/56. Let s(d) = 2*d**2 + 14*d - 339. Let j be s(-17). Are j and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 26*k + 45 = 31*k, 2*k = q + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/48 and -95\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00166 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3*l**2 + 2876*l**3 + 3079*l**3 + 7 - 1291*l**3.\nAnswer: 4664*l**3 - 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:22 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u. Let b(z) = -2*z + 4694243. Calculate d(b(p)).\nAnswer: 8*p - 18776972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or 3194\/13?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -80, -72, -10, 124, 348?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-4\/5)*n)*n**(-2\/17)*(n\/(n\/n**(2\/7)*n*n*n))**50)**(3\/11))**(-3\/10) assuming n is positive.\nAnswer: n**(717741\/65450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:15 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 180, -5 in decreasing order.\nAnswer: 180, 31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 5 + 0 + 3*t + 2 + 5 to the form k*t + c and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.505 * 0.834\nAnswer: -1.25517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/11*(-615)\/1230\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaaaaxxxxxx. What is prob of picking 4 a?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 167670470 and -1.78?\nAnswer: 167670471.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32427*l**3 - l + 6609 wrt l.\nAnswer: -194562*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 16*z - 5. Calculate n(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 5*b + 6. Let i be k(5). Let z be (-4)\/(0\/(-2) + -1). Let j = i - z. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5438 divided by 6?\nAnswer: -2719\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37.3 - -37. Let s be 3\/7 + (-2496)\/3276. Sort s, -5, 0.4, y in increasing order.\nAnswer: -5, s, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - -221433423?\nAnswer: 221434114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2112 + -17?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96, -215, -324, -417, -488, -531, -540, -509?\n\"Answer: b**3 - b**2 - 123*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 9. Let o be g(6). Let s be (4 + -8)*30\/(-180). Factor 1\/3*r**o + 0 - r + s*r**2.\nAnswer: r*(r - 1)*(r + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -3) + 11 - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1781591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4872*x - 58461. Give t(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kssssssssksssssssssk. Give prob of picking 2 k.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:35 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9480, -5, -1 in decreasing order.\nAnswer: 9480, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 133 in 3, -74, 1\/6, -2\/9, 1, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14661925 - 14662275.97708. Let u = 389.976994 + a. Let b = u + -39. What is b rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a3aa (base 11) in base 2?\nAnswer: 11000110100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 5*r - 7, -72*k + r = -71*k + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -18770543.\nAnswer: -6\/18770543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.7. Let n be ((-6)\/8 - -1) + 0. Let k = -0.5478 - -0.6478. Sort h, n, k in ascending order.\nAnswer: k, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1834 and 11616818?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.5, 4\/7, 2382, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 18875*x + 3286680.\nAnswer: 5*(x + 183)*(x + 3592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3905*x = 1420*x + 122475 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -812 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5\/12 - 91*x**4\/3 + 7921*x**3\/12 - 20371*x**2\/6 - 10038*x - 5952 = 0. Calculate x.\nAnswer: -6\/5, -1, 12, 31, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 7:42 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -850 - 0.1412\nAnswer: -850.1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 18*u**5 - 2144650*u**4 - 3812758*u**3 - 1191494*u**2 + 476596*u = 0.\nAnswer: -1, 0, 2\/9, 119149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756098 is divided by 878044.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 5*s + 130 = -31*b, 3*b - 181 = 4*s. What is the least common multiple of 9 and b?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13145260 + 603*k - 13145260 + 594*k - 1198*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 269.1 + -269. What is the nearest to -1.2 in 0.5, u, 5\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*x, -5*o - 2*x = -24. Let m = 46 + -52. Let d be (-2 - m\/o)*-10. Solve 0 = -d*h + 2*s - 8, 4 = -2*h + s + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/(-323) - 10*475\/(-85). Calculate the highest common divisor of 32 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -428 - -433. Let o(v) = v**2 - 7*v + 13. Determine o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2 - 3*r**2 - 4*r**2 - 2*r**2. Let t(o) = -3*o**2 + 5. What is q(t(l))?\nAnswer: -27*l**4 + 90*l**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/9*-3 - 0. Which is the third biggest value? (a) -0.5 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2305 - 1142 - 119*c**2 - 1164.\nAnswer: -119*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 7:15 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -93*z**2 + 12*z + 2. Let b be o(-3). Is (-108)\/(-162) + b\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -46508259684446?\nAnswer: -46508259684446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 614625 + -869625. What is c rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 10e?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + -143.3. What is the nearest to 2\/3 in g, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24211?\nAnswer: 11, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -804*x**3 + 0*x - x + 2726*x**3 + x.\nAnswer: 1922*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b + c, -c = -3*b + 6*b - 7. Let w(s) = -s**2 - 6*s + 8. Let n be w(-7). Let a = 3 - n. Solve h + b = -3*m, 4*m = h + 4 - a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19220 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 s = 0.72 - 0.82. Let q = 0.33 + 1.37. Let y = -2 + q. What is the third biggest value in -3, y, 0, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/((s*((s*s**(1\/18))\/s*s)\/s)\/s*s))\/s))**(1\/25)*(s*s*s*s**11)**(42\/5) assuming s is positive.\nAnswer: s**(52957\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5506 divided by -2753\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2953312 is divided by 120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 160.80606 milliseconds?\nAnswer: 0.00004466835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151 + 786 - 172)*((3*a - 2*a - 2*a)*(-3 + 0 + 0) - 7*a + 3*a + 2*a).\nAnswer: 463*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 100, 121, 140?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-2)\/(-5) + 1. Suppose 3*b = -u*a - 18, b - 3*b = -3*a + 7. Is 1\/73 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21\/161)\/((-3)\/(-2)). Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1971, -15851, -53527, -126897, -247859, -428311?\nAnswer: -680151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = 2*k, k + 5 = 3. Find the second derivative of -16*u**5 - 4*u - q*u + 19*u**5 + u wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31.3729 kilometers?\nAnswer: 31372.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403920376.\nAnswer: 2, 1747, 28901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369*o - 355*o = 728. Suppose 38 = j + 16. Let v = j + o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -346*k - 229. Is t(-41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4 * -104562\nAnswer: -418248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73002.62 millilitres?\nAnswer: 73.00262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 476, 1 in descending order.\nAnswer: 476, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751309 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16786560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250236 = 1229*c - 1175*c. What is the greatest common factor of c and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 26*g**2 - 7*g - 9. Is p(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-80))\/(1\/(-4)). Let c be (-8*957\/(-176))\/((-6)\/(-161)). Let y = 1167 - c. Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 7*l**2 + 14*l. What is q(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + 0.18. Let r = -0.32 + v. What is the third smallest value in -3, r, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -5 in ascending order.\nAnswer: -7, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u**3 - 5*u**4 + 5*u**2 - 46*u**3 + 21*u**3 + 5*u**5 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 88852 + 408685. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2813343 is divided by 7233?\nAnswer: 6939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 3473596.\nAnswer: 17367980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {d: 1, c: 1, v: 5, t: 3, g: 2}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**2 + 6*a + 26. Let l be w(-5). Suppose 15*o - 129 = 126. What is the greatest common divisor of l and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 337*s**5 - 272*s**4 + s**2 - 8569*s - 17.\nAnswer: 6740*s**3 - 3264*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 + 525?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.74 - -3.14. Let k = 316.23 - 319. Let o = j + k. What is o rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -4*o + 13*q, -3*o - 40 - 12 = 5*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 12*o. Let c be g(12). What is the closest to -4\/5 in 1, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 19*g**2 + 4*g + 37. Suppose -4*z + 16*z + 60 = 0. What is the tens digit of a(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*d + 16. Let r be (-2 - -2) + 8\/(-4). Let m = 2 - r. Solve -7 = -d*b - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*z = -153, 14*k - 152 = 12*k + 2*z. Suppose -h = -4*c - 49, -h + 5*h = -2*c + 178. Calculate the highest common divisor of k and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*y**3*z**3 + 2624*y**3*z**2 - 399*z**3 wrt y?\nAnswer: -12*y**2*z**3 + 7872*y**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*h + 26, 0 = -5*v - 37406*h + 37407*h + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from oooqqooqoooooooo?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 times 4?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 1, i: 1}. Give prob of sequence nnp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 176501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11158*s**2 + 36*s - 10. Let g be a(-15). Round g to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438 + 24187*t - 438.\nAnswer: 24187*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25603951, 51207909, 76811867, 102415825, 128019783?\nAnswer: 153623741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (651\/248)\/21*8\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k + 6. Let b be x(6). Let p = b - -75. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 5*t - 24. Let i be p(7). Let s = i - -45. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j**2 - 4*j + 8. Let l(n) = -13*n**2 + 5*n - 10. Let w(g) = -5*b(g) - 4*l(g). Let t(o) = 3*o + 193. Calculate t(w(z)).\nAnswer: 6*z**2 + 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 2, m: 5, a: 2, p: 6}. Give prob of picking 2 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aasslhaafffa. Give prob of sequence sa.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 7420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 2\/11126365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32363.\nAnswer: 32363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*10\/270*9*90\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 - 3)) + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -117 - -b5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - -40. Let q(l) = 8*l**2 + 2*l. Let c be q(2). What is the highest common factor of c and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1125 divided by -15\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38930301?\nAnswer: 3, 160207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 + 89*q - 47. What is u(9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7624084.62 less than -3?\nAnswer: -7624087.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58185 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 12*f + 7. Give x(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 3. Let v(g) = -153*g - 4. Give 2*a(o) - v(o).\nAnswer: 147*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-23)*n)\/n)\/n)\/((n\/(((n**(-43)\/n)\/n)\/n))\/n))\/(n**(-44)\/(((n**(2\/11)*n*n*n)\/n*n*n)\/n)) assuming n is positive.\nAnswer: n**(-251\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7943 <= 7943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*1 - sqrt(108))**2 + (3 + (sqrt(3) - sqrt(6)\/sqrt(2)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 8*c**2 - 5*c - 2. Let m be 3 - (852\/84 + (-1)\/7). What is o(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021 (base 4) to base 5.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {v: 4, g: 5, l: 4, f: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -542 - -515 - (2 + -84) - -3?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -5, 0 in ascending order.\nAnswer: -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 303*h**2 + 5771*h - 2238. What is g(-321)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*sqrt(65)*-1 - ((sqrt(65) - 2*sqrt(65))*3 - sqrt(65))))\/(-6*(sqrt(80) + sqrt(80)*-1*4)).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b - 12. Let w = b + 10. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 909954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3751, -11466 in increasing order.\nAnswer: -11466, -3, 3751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(6\/23)*(q\/(q*q**(-7)))\/q**(-1)*((((q**(-4\/5)*q*q)\/q)\/q)\/(q**(-15)*q))**(12\/5) assuming q is positive.\nAnswer: q**(22666\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695320235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -1.7. Let h = 2 - 1.5. Let c = k + h. What is the second smallest value in 2\/9, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 4*v**2 + 3*v - 4. Let f(j) = -3*j - 3. Suppose -2*y + 8 = -4*r - 7*y, r = -y - 2. Let s be f(r). Suppose -5*z + 18 = s. Calculate u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -50. Let m(p) = -3*p**2 + 26*p + 10. Let d be m(9). Which is the nearest to d? (a) o (b) -0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -51703*c. Let f(v) = v. What is p(f(x))?\nAnswer: -51703*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*z**3 + 3*z**2 - 469*z wrt z?\nAnswer: 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/15 + (5 - 38\/6). Let l be (-73 - (1 + 0))\/o. Solve 0 = 5*w + 5*j + 17 - 7, -5*j - l = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1049717*y**2 + 645933*y wrt y?\nAnswer: 2099434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 5*n + 211571. Let d(g) = 3*g. Give d(p(c)).\nAnswer: -3*c**2 - 15*c + 634713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 45 = 3*d - a, 2*d - 3*a + 1754 = 1773 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 245483254561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/5888 and 81\/462848.\nAnswer: 10645504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 + 8*h. Let n be j(8). Suppose n = -46*z + 57*z - 44. Solve 4*d - 3*w + z = 0, 2*d = 3*d - 3*w + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*m**4 + 4)*(-2*m + 5*m - 2*m) + (4*m**4 - 6*m**4 + 0*m**4)*(-2*m + m - 4*m).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 369.0211 + -369. Round k to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, i: 3, t: 4}. What is prob of picking 2 t?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2538, 20346, 68682, 162810, 317994, 549498, 872586, 1302522?\nAnswer: 1854570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198482 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let c be b(-10). Let z(q) = -q**3 - 11*q**2 - 11*q - 2. Does 4 divide z(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 50*s**2 - 459*s + 201 - 5*s**3 - 79 + 294*s + 58 = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let z(i) be the second derivative of 0*i**3 + 5\/12*i**4 + 0*i**2 - 9*i + 0. Give -6*t(v) + 2*z(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98787 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -559 - -816. What is the remainder when d is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 27816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -7\/5*v**5 - 1\/2*v**4 + 0*v**3 + 0*v + 83 + 0*v**2. Let r(g) = 0. Calculate g.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*o - 2. Suppose 6*j - o - 23 = 0. Let p(v) = -j - 4*v + 1 - 2*v. Calculate p(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -6502.\nAnswer: -15\/6502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-36)\/(-8)*240\/180 - 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a82f - 5?\nAnswer: 1a82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 7*b - 25. Let u be d(10). Suppose t + 55 = -4*j, 4*t + u*j + 336 = 94. Does 8 divide t\/12*((-224)\/(-3))\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + 4 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(11\/(-7))*(-4)\/(-14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6216 smaller than 6198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 323304 (base 7) in base 4?\nAnswer: 31301103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28472?\nAnswer: 2, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, s: 1, q: 3, t: 1}. What is prob of sequence hqht?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -8)*6\/18. Let r(b) = b**3 - b**2 + b - 4. What is the units digit of r(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.044, 0.4, 57, -1 in descending order.\nAnswer: 57, 0.4, -0.044, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-1))\/(0 + 1). What is the closest to 0 in -0.4, 3\/8, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 4*z + 4*z)*(4*z**2 - 2*z**2 + 0*z**2) - z**3 + 2*z**3 - 3*z**3 + ((-2*z + 0*z - z)*(0 + 0 - z) + 3*z**2 + z**2 - 2*z**2)*(2*z - 5*z + 4*z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 8*b**2 - b + 10. Let o be w(8). Suppose o*l - l = -2. Let p be (4 + l)\/((-5)\/(-5)). Solve -i + 3*d = 15, 2*i + 15 = 5*d - p*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521990 rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269.258 - 6.642. Let g = 276 + p. What is the nearest to g in 1\/6, -2\/5, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**2 - 35*g - 61 wrt g?\nAnswer: 2*g - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35742, -71788, -107834?\nAnswer: -143880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 - 4*q**2 + 16*q - 72. Suppose 0 = -4*g - 2*u + 28, -7*u + 10*u = 0. Is k(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:35 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b. Let n(z) be the second derivative of -z**3\/3 + 57*z**2\/2 - 20*z + 20. What is n(a(s))?\nAnswer: -8*s + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-202160)\/7224 - -28).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (62\/(-2604))\/(1\/(-2)). Let m(h) be the first derivative of -25 - 4\/7*h + 2\/7*h**2 - b*h**3. Factor m(v).\nAnswer: -(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 358*u**2 - 2*u + 2*u to l*u**2 + c*u + h and give l.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144 - 443 - 95*l + 160 + 139.\nAnswer: -95*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -35.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -321.708493 - -0.007.\nAnswer: -321.701493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 + 9 + 12 + -33 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssdovscsdovhhsoho. What is prob of picking 2 o and 1 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307089, 613062, 919035, 1225008?\nAnswer: 1530981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 + 9163478*c**4 + 2*c**3 - 885*c**2 + c + 2?\nAnswer: -120*c**2 + 219923472*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -463 + 1414. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-1470.\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3376, -13422, -30150, -53560, -83652, -120426?\n\"Answer: -3341*l**2 - 23*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 5*m + 64. Give v(7).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -84 - 15 - (23 - (-2 + 5) - (-2 - -8))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670 a factor of 78983531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 4, j: 1, t: 4, n: 2, g: 3}. Give prob of picking 1 y, 1 t, and 2 n.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29795368 and 32.\nAnswer: 119181472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254164 is divided by 254160.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {v: 1, y: 1, a: 1, n: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = 4*w - 30, 0 = 4*w + 4*r - 64. Suppose -4*p + w = -p. What is the closest to 2 in p, -1, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**4 - 7750*p**2 + p + 24438?\nAnswer: 8*p**3 - 15500*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-70)\/385 + 136\/22. Let f(g) = 0*g + g + 1 + 2. Let c be f(p). What is the highest common divisor of c and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17676085 - -1?\nAnswer: 17676086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000066283 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1661590404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 24. Calculate the remainder when 37 is divided by j(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*p + 12, -v + 2*p + 2 + 4 = 0. Suppose 8 - v = -b. Is b greater than or equal to -22\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -15 (b) 2\/9 (c) 2\/25 (d) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (77088\/(-4896) + 16)*(-3)\/(-39)?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/11 and 1\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -7 + 0 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 285 - 279. Let w(o) = 5*o**2 - 17*o - 5. Calculate the remainder when 217 is divided by w(p).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1. Let y(k) = -4*k - 21. Let a(q) = -2*m(q) + y(q). Let o be a(-9). Let p = 17 - o. Is p smaller than -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*y**3 - 228*y**2.\nAnswer: -1260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:15 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19312 = -95*o + 87*o. What is the greatest common factor of 34 and o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1822 and 16836191?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-3)\/21)*91\/(12467\/(-4521))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3870)\/135 - -27)\/((-25)\/(-1140)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 11 = -5*y. What is the tens digit of 2252\/16 - 3 - y\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/7 - 11\/14. Let b = 3 - 3.2. What is the third smallest value in -1\/9, h, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*b - 149 + 784 = -310 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11695 * -29.21.\nAnswer: -341610.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-36)\/12)\/3)\/(5\/((-15)\/6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**7\/5040 - t**6\/720 + t**5\/20 - t**2. Let o(n) be the third derivative of h(n). What is the units digit of o(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3603, -0.3, -2\/17, 0.4, 4 in increasing order.\nAnswer: -3603, -0.3, -2\/17, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b**4 - 5*b**3 + 5*b**3)*(0 + 2 - 3) - b**4 + 2*b**4 - 2*b**4 to the form y*b + q + w*b**3 + g*b**4 + s*b**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21212020210021 + 10?\nAnswer: 21212020210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((204\/(-18))\/(-17))\/(6\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, v: 1, d: 2, z: 2, t: 1}. Give prob of picking 1 d and 1 q.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p**6 + 8*p**4 + 16*p**2 + p + 42 wrt p?\nAnswer: 1200*p**3 + 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6764.8 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = -2. Let p be (0\/1)\/(-6 - f). Suppose -x + 30 + 5 = p. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 + 6. Let k be (-2)\/((-1)\/(-3)*6). Which is the nearest to k? (a) -3 (b) t (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*k + 5, 8922*k + 3 = 8919*k + 3*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -40237033 divided by -1\nAnswer: 40237033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**7*g)\/g))\/g*g*(g\/(g*(g*g**(-3\/4))\/g*g))\/g*g)\/(g\/(g\/(g*g\/(g*g**(-1\/2)\/g)*g)))**(15\/7) assuming g is positive.\nAnswer: g**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.9, 0.2, 1\/12, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/107 and 67\/231.\nAnswer: 24717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 1200 = 24*o. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3570848.2 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -2, 8, 22, 40, 62, 88?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5da + 783?\nAnswer: d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229245553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 - 3 + 3)*(-7 + 7855*r + 7 - 1524*r + 6956*r).\nAnswer: -53148*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19354771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -662 + 1025. Suppose -o = -0*d - 11*d. Calculate the greatest common factor of d and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3304*r**2 - 3310*r**2 - 10*r + 0*r in the form d*r + v + p*r**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, l: 3, r: 1, n: 1, a: 2}. Give prob of sequence iir.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5944340*p. Let l(g) = g**2 + 9. Determine l(t(j)).\nAnswer: 35335178035600*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, e: 6, g: 3, f: 2, m: 1}. What is prob of sequence gg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154171603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose 3*u = -q + 14, u + 4 = 3*q + o. Suppose 0 = 2*f - 4, u*i + 3*f - 87 + 21 = 0. What is the greatest common factor of i and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, c: 5, z: 2, e: 2}. Give prob of picking 1 n and 1 z.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51140213 + -4?\nAnswer: -51140217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 258*r + 7. Suppose -5*j - 2*k - 9 = 0, -3*j = -0*k - k + 12. Let n be l(j). Round n to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 3460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 95 = 3*p - 14*r, 0 = -3*r + 15. Let v(b) = 2*b**3 + 50*b**2 - 2*b + 42. Does 49 divide v(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -251 bigger than -248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 7:16 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f*q**4 - 659*f - 520496*m*q**2 + 69*m - 14 wrt q?\nAnswer: 20*f*q**3 - 1040992*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3256*f + 9833. Calculate b(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v - 10*w = -33*v - 19, 2 = w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/392 and -65\/16?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18799, 18798, 18797, 18796, 18795, 18794?\nAnswer: 18793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 36 - 0)*2. Suppose 5*x - t - 52 = 0, -2*t = 2*x + 73 - 89. Calculate the highest common factor of d and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 219288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asssssczasssnasav. What is prob of sequence aac?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 5*w + 4. Let a be x(4). Suppose 2*t + 5*u + 10 = -a*t, 3*u - 3 = -3*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 91245.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 12*i = -i - 377, -4*k - 28*i + 423 + 296 = -253 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 20. Let d be (7 - s) + 2*-1. Suppose 4*l + 0*l - 100 = d. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 7. Let y be -1 + 0 - 6\/2. Let m be g(y). Is 2 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(187)*3 + sqrt(187) - -2*sqrt(187)*-2)\/(1*sqrt(44) - -2*sqrt(11)*-4))**2*-4 + 3)*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3 + 37*m**2 + 2*m - 35*m**2 - 4 + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 9524?\nAnswer: 238100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447.5862 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2041 = 2435. Let f = v - -2594. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -270*o - 212. Calculate the lowest common multiple of 12 and f(-15).\nAnswer: 23028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 466718*r**5 + 105*r**4 + 2*r - 45827623 wrt r?\nAnswer: 9334360*r**3 + 1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 16 + -17 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1 + 7 = 0. Differentiate 1 - 3 + 4*b**a + 5 with respect to b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -3. What is the second biggest value in l, 0.4, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -21. Let v = 8 + -2. Let f be (4\/w)\/((-2)\/v). What is the second biggest value in f, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u + 1 = -5*g, -3*g + 9 = 2*u. Suppose 2*j = -2*j + u. Let x = -2 + 5. Is j at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Let t be (v\/(-2))\/(2 + 38\/(-20)). What is the second smallest value in -3\/5, -5, t, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3, 13968?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.241 plus -9742155?\nAnswer: -9742155.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6204 times 1.9\nAnswer: -11787.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q + 25. Let v be r(12). Is -13 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25393061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207.1 - -0.04.\nAnswer: -207.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 14442188*l + 7221093*l + 7221095*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11*r - 4 + 18 + 2*r**3.\nAnswer: 2*r**3 - 11*r + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyjj when four letters picked without replacement from {j: 3, y: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = m - 7, 3*m = 2*p + 4 + 13. Let x be p\/(-2) + (-12309)\/(-6). Suppose 4*w - 8*s = -4*s + x, -2056 = -4*w + 2*s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165641599.84 rounded to the nearest 10000?\nAnswer: -165640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 904*t - 59995. Give w(-99).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 19, 8, -21, -74?\n\"Answer: -t**3 + 8*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 5*p + 7. Suppose -2*f - 4 = -f, -4*b = 3*f + 24. Let c be (b - -2)\/(1\/(-3)). Suppose l = c + 2. Determine i(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - j = -13, -9*r + 10*r + 22 = 4*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrc when three letters picked without replacement from {r: 1, l: 1, v: 1, u: 1, c: 2, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -110105, -219570, -329035, -438500?\n\"Answer: -109465*q - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x**3 + 45*x**2 + 45. Let p(o) = -o**3 - 4*o**2 - 49*o - 4 + 26*o + 23*o. What is 4*b(a) + 45*p(a)?\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*z + 154, 4*y - 132 - 174 = -5*z. Let c = -81 + y. Is -7\/13 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2 + 5 - 3 + p. Let d be b(-3). Let c = -45 - -403\/9. What is the biggest value in 0.3, c, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 838, 842, 848, 856, 866, 878, 892?\n\"Answer: g**2 + g + 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 1\/12*l**3 + 0*l**2 - 1\/40*l**5 + 9 + 0*l**4 - 1\/8*l. Factor w(z).\nAnswer: -(z - 1)**2*(z + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*l = 3, 18*l - 15*l = 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -92*y + 120. Let f(r) = 37*r - 341. Let i be f(9). Is 36 a factor of q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 28 - 3. Let v = -18 - f. Suppose -v = -s - 0*r + 5*r, -2*s + 2 = -4*r. Let b(h) = h**2 + 8*h. What is b(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -27 + 28 + -25 + 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 3296.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.346 and -15778.\nAnswer: 37015.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * 4754.892\nAnswer: -5705.8704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9292 divided by 30.\nAnswer: -4646\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -129, -197, -265?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.5 (c) -323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c**2 + 63*c + 290. Let v be u(-6). Are v and -312 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75.31862 + -0.07538. Let h = -0.594 - u. What is h rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37888 and 1628.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43021 by 1727.\nAnswer: 3911\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19199.2303 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (528\/396)\/(4\/21). Let h be k - ((-270)\/(-25) + (-45)\/9). Find n such that -1\/5*n**2 - h*n + 0 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-18)*(-4)\/(-6). Let s = t - 7. Let u(g) = -g**3 - 7*g**2 - 8*g - 2. Let y be u(s). Is y less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -8*c + c**2 + 0*c**2 + 2*c + 4*c. Let k be j(0). Let a = -4\/15 + -1\/15. What is the closest to 2\/21 in k, 2\/7, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (557 - 1085 + 23817*o + 528)*(-4 - 2*o + 4)*(-o + 4*o - 4*o) to the form q + b*o**3 + s*o + r*o**2 and give b.\nAnswer: 47634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 16*g + 18. Let m be l(15). Suppose 18 - 6 = m*y. Find the first derivative of -11*j**3 + j**3 + y*j**3 + 1 + 5 wrt j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-18) - (-140)\/140?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1053\/45 - 6 - 2\/5. Let o = 250 + t. List the prime factors of o.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-630)\/(-690)) - -42.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 17482009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = -4*f + 3216. Suppose -6775 - f = -3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**3\/7 - 86928*u**2\/7 = 0.\nAnswer: -21732, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:25 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -18. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (-100)\/(-60)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:25 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77742?\nAnswer: 2, 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93320136?\nAnswer: 2, 3, 7, 13, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20\/21 - 782\/777. Let l = -33\/74 + j. Which is the second smallest value? (a) 0.5 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -158910903\nAnswer: 1\/158910903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32.41 and 166.6.\nAnswer: 199.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15))**(-22\/7)\/(d**(1\/2)\/(d**(-1\/2)*d)) assuming d is positive.\nAnswer: d**(-44\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -498 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/254448 and -47\/9?\nAnswer: 254448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-15)*(-75)\/10. Let h(n) = -6*n - 6 + 5*n**3 - 5*n**3 + 7*n**2 + n**3 - 2*n**3. Give h(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -2*j + 53, -2*j + 61 = 5*h. Let l = -17 + j. Let m be (0 - 0)\/((-12)\/(-12)). Solve 3*d + l - 2 = m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11221, -11227, -11233?\n\"Answer: -6*b - 11215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22628*27.793\nAnswer: -628900.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -84 + -3113?\nAnswer: -3197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 9. Let z be g(-7). Let a be -1 + 7 + z\/(-1). Suppose 0 = -a*p + 6*p - 14000. Round p to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 7*c**4\/12 + 12*c. Let k(l) = -5*l**2. Determine s(k(n)).\nAnswer: 175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3015423 (base 7) to base 4\nAnswer: -1113032130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366112.\nAnswer: 2, 11, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.97 - -0.03. Let z = -3 - v. Let t = -0.3 - 0. Sort z, t, 0.3 in decreasing order.\nAnswer: 0.3, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1351032 + -26?\nAnswer: 1351003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 205?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -510? (a) 1\/3 (b) 3\/2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -14*l**5\/5 - 100*l**4 - 2012*l**3\/5 + 224*l**2 + 2026*l\/5 - 124 = 0?\nAnswer: -31, -5, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agga. Give prob of sequence gga.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -14. Let o(g) = -g**3 - 6*g**2 + 6*g + 1. Let i be o(-5). Let h be (-120)\/16*i\/5. What is the highest common divisor of h and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**2\/r)**41*r\/r**(-1\/22)*r*r**(-1\/3)\/r*r)**(2\/43))**(-37) assuming r is positive.\nAnswer: r**(-104303\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -10*v + 414. What are the prime factors of v?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -2*r - 85. Let d(k) = k**3 + 8*k**2 - 23*k - 13. Let s be d(r). Solve -x = 2*f + 3*x + 10, 5*f - 4*x - s = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 5*m + 7. Calculate w(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*s + 169 - 131, 3*s - 54 = -5*l. Suppose -8 = -3*h + 2*h. Calculate the smallest common multiple of h and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 222 - 204 = 0. Suppose -32 = t*c - 32. Solve m - 4 = -c*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 949853972 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*j**5*l**3 + 140*j**5*l + 31*j**2*l**2 + 4*j**2*l + j*l**3 - l**2 wrt j.\nAnswer: -1500*j**2*l**3 + 8400*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 7*h**3 + h**3 - 6*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6580321 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1996 and 15 + (-3297)\/1260*6.\nAnswer: 9980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 1 + -3 + 4. Suppose c*i - 2*i - 63 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1123 divide 8120413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 798046289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12054 + -12054. What is the closest to y in 0.4, 1470, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3*p - 2*h**2*p*w**3 + 107*h**2*p + h*p*w**3 - 27*h*p*w**2 + 6*p*w**2 wrt h?\nAnswer: -12*h*p - 4*p*w**3 + 214*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5689728?\nAnswer: 2, 3, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.102*3\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + 1.6. Let h = -1.1 + b. What is the nearest to 0 in -1\/3, 0.5, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1759 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i - 404 = -2*d, 3*i + 321 = -3*d. Let o = -100 - i. Calculate the remainder when 35 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9085210?\nAnswer: 2, 5, 908521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0061074 days to minutes.\nAnswer: 8.794656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -28*o - 2. Let i(m) = -4*m**2. What is i(x(g))?\nAnswer: -3136*g**2 - 448*g - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 5. Let p(y) = -8*y**3 - y - 1. What is the least common multiple of p(u) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 51164238?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:26 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -81*h + 29. Determine w(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 - 20000211?\nAnswer: -12222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 565.5368 millilitres?\nAnswer: 0.5655368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 5*t**2 - 3*t + 4. Let o be u(-5). Let p = -15 + o. What is the smallest common multiple of p and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.30909 + 1699251923.\nAnswer: 1699251922.69091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 25. Let k(g) = -19*g - 73. Determine 2*k(a) + 7*x(a).\nAnswer: 4*a + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2\/5 + 699112*l\/5 - 27262326\/5 = 0?\nAnswer: 39, 349517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndf when three letters picked without replacement from dnnndccnxdncdxfxxx?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + v. Let g(h) = h**2 + 2*h. Let s(t) = -g(t) + 2*k(t). Let q(b) = b**2. What is q(s(f))?\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1597 - -6781. Suppose t = 73*o - 67*o. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.8, 9, -5, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 21279500?\nAnswer: 42559000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/4 + (-9751)\/7644)\/(-4 - (-287)\/63)?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486334804.\nAnswer: 2, 31, 11986571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 13*m + 19. Let n be b(12). What is the greatest common factor of 62 and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3708?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92783289 is divided by 100.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/3 + 31945240*f**3\/3 + 42520764944064*f**2 - 127780960*f\/3 - 510249179328800\/3 = 0. What is f?\nAnswer: -7986310, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.579992 - 0.006908. What is f rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-48)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 + -2. Let m = 1.8 + 0.2. Which is the second biggest value? (a) q (b) -3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.32, 0, 1\/3, 802\/13, -3, 4 in increasing order.\nAnswer: -3, -0.32, 0, 1\/3, 4, 802\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 - 2*z**2. Let t be w(-2). Let l = t - -175. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12862 is divided by 643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 13*w**2 + 59*w - 631. Let q be h(14). Is q < 3\/1445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:00 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331773 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 77*t**3 + 123 - 42.\nAnswer: 77*t**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2223 - 5471. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/4, 0.1, 16, -31, -0.16 in decreasing order.\nAnswer: 16, 2, 1\/4, 0.1, -0.16, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 + -79. Let m = 129 - 1160\/9. Which is the closest to 3? (a) m (b) -0.9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -16. Let m be z + 0 + (-5 - -1)\/4. Solve 0 = -m*s - 7 + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 2\/7, -0.1, 4, -33, 0.1 in descending order.\nAnswer: 4, 2\/7, 0.14, 0.1, -0.1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -9.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4183077, -8366185, -12549293, -16732401, -20915509, -25098617?\n\"Answer: -4183108*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggl when three letters picked without replacement from {f: 4, p: 2, m: 5, l: 5, g: 3, o: 1}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 2, 5 in descending order.\nAnswer: 5, 2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*q + 35 - 1, -5*w - 3*q = 56. Let y be (-104)\/(-18) + 920\/90 + w. Solve 2*f - y*f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83461*z**3 + 162337 with respect to z.\nAnswer: 250383*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 164.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/1678 and 125\/918.\nAnswer: 770202","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 13*t**4\/3 - 77*t**3\/6 + 55*t. Find the second derivative of u(x) wrt x.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1790.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 26\/5 (c) -19 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*i**4 + 0*i**4 + 4*i**4 + 11*i wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(96)\/(sqrt(8)\/sqrt(2)) - sqrt(864)*2)\/(sqrt(24)\/(sqrt(21)\/(sqrt(49)\/sqrt(7)))).\nAnswer: 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - -4)\/1 + 0 - -887.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 2592 = 17*p. What is the greatest common divisor of p and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -17*1 - -2. Let j be ((-6)\/(-8))\/((-272)\/(-1088)). Solve b = 2*b + 4*a + 17, 2*b - j*a - m = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -5 + -2 + 0. Let r(a) be the second derivative of -a**3\/6 - 5*a**2 - 5*a. Determine r(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*s + 3*u - 7, -4*s + 75 = u. Suppose -s*h = -5 - 52. Solve -d + 4*l - 20 = 0, 3*d + 24 = -0*l + h*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 12. Let i be w(6). Suppose 10 + 53 = 3*b. Suppose 2*k = -k - b. Let n(y) = -4*y - 2. Let m(d) = 5*d + 2. What is i*m(h) + k*n(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 7*f + 2. Let n(h) = -8602 + 3*h**2 + 8605 + 3*h - 7*h - 2*h. Give 6*n(z) - 5*q(z).\nAnswer: -2*z**2 - z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96 - 1) + -122 + -2 + 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4124972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 10*d**2 + d + 1. Determine y(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -113*l - 137. Determine b(-2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9585 = 12*x - 42957. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1630, -1629, -1628, -1627, -1626?\n\"Answer: n - 1631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 53) + -7 + (17 - -7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r - 1. Suppose -2*v + 20 = 3*v. Let u be (-1)\/(((-1)\/(-1))\/(-3)). Put r, u, v in descending order.\nAnswer: v, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 529*z**3 + 6*z**2 - 3. Let d(o) = -o**3 + 2*o**2 - 1. What is b(a) - 3*d(a)?\nAnswer: 532*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 4. Suppose 0 = -l*g + 58369 - 10769. What is g rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(15 + 8 + 6)*(f + 5*f - 3*f).\nAnswer: 261*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2.69, -1\/3, -2\/11, -0.2 in decreasing order.\nAnswer: 2.69, -2\/11, -0.2, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.11813 + 63.1184. Let a = n - 28. What is a rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*d, 0 = -768*g + 765*g - 6*d + 43530. What are the prime factors of g?\nAnswer: 2, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37491796, 74983582, 112475368, 149967154?\nAnswer: 187458940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633?\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1 - 1 + 2*s**2 - s - 2 + 4*s**2. What is the remainder when z(-2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 22*o - 4 + 5 to y*o + g and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q**2 - 1 - 35*q**2 + 1.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*i + 403 = 0, 5*f - 645 = i + 2*i. Calculate the remainder when f is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*z**2 + 3*k + 1024796*z**2 - 11433 with respect to z.\nAnswer: 2*k*z + 2049592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 762 - 114. Suppose 1722 = 15*q - b. 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*q + 47 = 3*c, 5*c + 3*q + q - 77 = 0. Let m be 2\/(-5) + 3810\/150. Suppose m*u - 48 = 24*u. What is the remainder when u is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + 34\/(-6). Put -1, -3, v in increasing order.\nAnswer: v, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:39 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -21*i**3 - 2*i**2 + 2*i + 4. Let n be x(-1). Solve 0 = y - 16 + n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 465993854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + t - 39 = 0, p - 3*t = 4. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 9*h - 6. Let p be w(8). Let g = 462 + -462. Suppose 0 = 4*f - 4 - 0. Sort p, f, g.\nAnswer: g, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1280661 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j + 6. Let g(l) = -1 + 4*l**3 - 3*l**3 - 8*l**2 - 8*l + 0*l**j. Let y be g(9). Solve -d - 4 + 10 = -x, -y = -4*d - 4*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68*g + 10*g + 55 + 31 - 8 wrt g.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810.6 - -11.\nAnswer: 821.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxlxxfnxxfnnneg. Give prob of sequence xlfe.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b + 34. Let j be q(-7). Let d(v) = -369*v**3 + v**2 + 2*v + 2. Does 37 divide d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 14. Suppose t + 5 = 0, 2*h + 4 + 1 = -t. Suppose -3*l + d*l - 10 = h. Solve 0*c + 4*z + 2 = l*c, 3*c - 3*z = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*u**3 - 303*u**3 + 99*u**3 + 99*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 278670 divided by -1\nAnswer: -278670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Suppose -3*n - 3*m + 3 = 0, -3*m + 2 = n + 9. Let o(i) = 6*i - 2. Determine n*a(r) - o(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/12 - (42\/(-8))\/(-7). Let j be a\/(-3)*(-3)\/2. Suppose j*p = p + 6. What is the least common multiple of p and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.8 - -1.2. Let t = -81\/2 + 40. Which is the nearest to 2\/7? (a) 2 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/(-7)*2*1. Calculate the highest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291305692 to the nearest integer?\nAnswer: 17068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 1214406?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 + 58. Let f(b) = b**3 + 4*b**2 + b + 4. Let s be f(-5). Let p = s - u. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20066 is divided by 480.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(6\/(-36)*1134\/36).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 98*h - 16 = 96*h, 5*q = -4*h + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -47\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**4 + s**4 + 2*s + s**4 + (s**2 + 6*s**2 - 5*s**2)*(-3*s**2 - s + s) as q*s**3 + f + x*s**2 + c*s + t*s**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**3 - 3*w**2 - 6*w - 1. Let d(g) = -20*g**3 - 8*g**2 - 17*g - 3. Calculate -3*d(c) + 8*u(c).\nAnswer: 4*c**3 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389, -399, -411, -425, -441, -459?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**3 - a**2\/2 - 10. Let l be x(1). Suppose l = 2*j - 2. Solve 0 = j*u - u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-161\nAnswer: 32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -11. Let h = -0.4 - -13.4. Let g = h - 12. Which is the nearest to g? (a) x (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2969 - 8902 + 2970 + 2963 + 2*a. Let k(n) be the first derivative of -3*n**2\/2 + 17*n + 1. Give w(k(z)).\nAnswer: -6*z + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 15*g + 2. Let l be j(-15). Suppose -2*z - 3*t + 13 = 2*t, 4*t = -l*z + 12. Solve -k = z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + 108. Let w = 18 - 13. Let p be 0\/3 + (w - 1). Sort q, -1, p.\nAnswer: -1, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.601893089 - 16.6018. Round b to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(432)\/sqrt(12)*2)\/(sqrt(24)\/sqrt(12)*4 - sqrt(96)\/sqrt(12)))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (11731 - 11691 + 10*p + 9*p)*(-3*p + 5*p + p) in the form n*p**2 + d + z*p and give z.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -7.1. Let m = 33 - 32.9. What is the closest to m in 0.4, r, 0.01?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7602175 = 7602175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 2672?\nAnswer: 11\/2672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -249934597 + -31.4.\nAnswer: -249934628.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*a - 19, 5 = -d - 16*a + 14*a. Solve 9*c - 3*c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 - (-86 - -36) - -9\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -319 (b) 4\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.23 and -26489333.\nAnswer: -26489335.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 7*r - 3*r)*(-2 + 0 + 3)*(-4 + 0 + 3)*(1 + 4 + 9) in the form q*r + u and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(sqrt(65) + sqrt(65) + 1*sqrt(65) + sqrt(65)))\/(sqrt(5) - 2*sqrt(15)\/sqrt(3)) - (1 + sqrt(13) + 1 + -2 - sqrt(26)\/(2*sqrt(4)\/sqrt(2))).\nAnswer: -241*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1226*a**3 + 843*a**3 - 560*a**3 + 291*a**3.\nAnswer: 1800*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 471 + -446. Let w be ((-10)\/v)\/((-2)\/(-20)). Let b(r) = -6*r**3 + 4*r**2 + 5*r - 4. Let l(o) = -7*o**3 + 5*o**2 + 6*o - 5. What is w*l(g) + 5*b(g)?\nAnswer: -2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/5 + 1508*u**3\/5 - 58176*u**2\/5 + 535248*u\/5.\nAnswer: 4*u*(u - 18)**2*(u + 413)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than -5.872644973?\nAnswer: 6.127355027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*b - 11. Suppose 0 = -b*r + 42 + 3. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t + 22. Let b be p(-4). Suppose -b*v - 114 = -124. Let j be -2 - 0\/1 - -4. Sort -6, v, j in descending order.\nAnswer: v, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 1. Suppose b = -2 - 2, 5*o = -2*b - 3. Suppose -2*v + 5 = -3. Suppose -5*y = -v*a - o, 5*y = 3*a + y + 1. Calculate q(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1 + 39*b**2 - 21 + 48*b**2 - 86*b**2. Does 16 divide y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 186, 195, 204, 213?\n\"Answer: 9*w + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -656 (b) 3\/4 (c) 8 (d) -1\/5 (e) -1 (f) 2\/19 (g) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113102 - -14?\nAnswer: 113120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 1678358494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1084\/((-96)\/(-18) - 5) - -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13840106701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31066 and 3161758.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -18954\nAnswer: -7581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 525 + -507. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 68*w + 1723. Give z(-23).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/k**16)\/k)))**(6\/5))**(-39) assuming k is positive.\nAnswer: k**(3744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.043, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 7*f**2 - 7*f - 6. Let t be q(8). Suppose 0 = -o - t*w + 5*w + 8, w = 4*o - 10. Let h(m) = 4*m - o*m**2 + m**2 - 5*m. What is h(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p + 3*p**2 - 15*p**3 - 3*p**2 wrt p?\nAnswer: -90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**5\/20 - 5*d**4\/3 + 3*d**3 + 19*d**2\/2 - d. Suppose h - 34 = -5*u, -4*h + 836*u - 839*u + 85 = 0. Determine b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2070753427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llww. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 78\/(-18) - (-4)\/(-18). Which is the smallest value? (a) 13 (b) 3\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, 139, 4, -7\/3, 17, -2\/13?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 3*k**2 + 4*k - 2. Let y be w(2). Let h(v) = 5*v**y - 3 + v + 4 - 4*v**2. Let j be h(-2). Solve -g + 3*p + p - 9 = 0, j*g = -5*p + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8418 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = 0. Let r be -7*(30\/(-35) - d). Is (-2)\/(r\/(-9)) - (-83 + 2) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 9.019?\nAnswer: -9.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 31*b**3\/3 + 3*b**2\/2 - b + 1. Let k be m(2). Let y = k - 60. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.44981 and 275?\nAnswer: 123.69775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 146 = -3*k + 137, -5*z + k = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 14*v**2 - 14*v - 29. Calculate g(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 4)*(i + i - i) - 4*i + 2*i + 0*i + i + 0*i - 2*i)*(115 + 127 + 51).\nAnswer: -1465*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -25*u**3 + 2*u**2 - 6*u + 4. Let m be z(1). Let c(q) = 3*q + 103. Let k be c(m). What is the highest common divisor of 196 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 2\/5 (c) -28\/3 (d) 0 (e) -20 (f) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3931*i + 0*i**3 + 3931*i - i**3 - 564.\nAnswer: -i**3 - 564","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -96. Find the common denominator of 73\/12 and (p + -3)\/(-36) - (-5)\/20.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9933640, -19867287, -29800934, -39734581?\nAnswer: -49668228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -931 + 1453. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 5*j**2 + 4*j**2 - 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182\/26*(-114)\/(-9975)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaoa when four letters picked without replacement from oaaaoaaooa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (sqrt(252) - -4*sqrt(252)))\/sqrt(4) - -1*sqrt(252)*6) + 3 + 1)**2.\nAnswer: 192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2814a59 (base 11) in base 3?\nAnswer: 100010112202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/1706 or -1?\nAnswer: -9\/1706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6*z + 5. Let a be p(-5). Let f be (1\/5)\/((-44)\/(-660))*3. Suppose q = -f*q + a. Solve 3*x + q = -3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 - 313*z**3 - 1404*z**2 + 343348*z - 341632 = 0.\nAnswer: -34, 1, 32, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4792233.1 to the nearest ten thousand.\nAnswer: 4790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 10*l**2 - 9*l + 5. Let y be j(-9). Calculate the smallest common multiple of 20 and (-10)\/(-25) - (-28)\/y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.80599l to millilitres.\nAnswer: 38805.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 419*a + 1166*a + 384*a as f + o*a and give o.\nAnswer: 1969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 861\/27 + (6 - 678\/108)*(-42)\/105.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 18) + -26 - -41.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 11*h**2 - 3*h - 19. Let c be p(10). Suppose -2*y + c + 315 = 0. What are the prime factors of y?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2089 and -407.\nAnswer: -850223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043122 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {y: 11, r: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5206883?\nAnswer: 11, 473353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4506674?\nAnswer: 2, 37, 60901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 341 - 6817\/20. Let h = z - 19\/60. Let q = 7 - 12. What is the closest to h in -2\/15, q, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (407\/74)\/(3\/2364).\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 116. Let t(z) be the third derivative of -1\/16*z**4 - 3\/80*z**5 + x + 0*z**3 + 5*z**2 + 0*z + 1\/32*z**6. Factor t(w).\nAnswer: 3*w*(w - 1)*(5*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + k = -11, 0*k = -3*s + 2*k. Let l be -1 + 2 - (-2 + 0). Suppose -l*f - y - 7 = 0, y - 2 + 0 = 0. Are f and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32909*b**3 - b + 103902*b**3 + b.\nAnswer: 136811*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**33)**(-1\/6) assuming m is positive.\nAnswer: m**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 175986.\nAnswer: -175989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 4*p - p)*(3 + 3*p - 5 + 0)*(-2*p - 2*p + 2*p)*(0*p - 5*p + 2*p).\nAnswer: 18*p**4 - 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*k = -92*k - d - 60331, 2*d - 60343 = -5*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 625*u**3 - 10*u**3 + 0*u**2.\nAnswer: 615*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(2*r**2 - 2*r**2 - r**2 + (7*r + 5*r + 7*r)*(2*r - 3*r + 0*r)) + 21*r**2 - 29*r**2 + 23*r**2 to q + n*r + c*r**2 and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*t + 3616 = -2589 + 2326 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**5 - 7*n**4 - 2258*n**3 + 25836*n?\nAnswer: -20*n**3 - 84*n**2 - 13548*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.53, -2, 2\/213, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 13*n - 6. Let b be t(14). Suppose -28 = b*j - 9*j. Calculate the greatest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 71\/42589?\nAnswer: 71\/42589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 5446*d**6\/15 - 40*d**3\/3 - 23*d**2\/2 - 1433*d. What is the second derivative of l(y) wrt y?\nAnswer: 130704*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -22*m + 51. Let f be p(2). Solve 0 = f*u + 3*u + 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2*j + 186, 144 = -2*t + 6*t + 4*j. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 23869040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 736429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -123. Let t = z + -69.03. Let f = 0.27 - t. What is the closest to 1 in -1, -7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 17*g + 10. Let u be o(-8). Suppose -5*f = d - 1594, 0 = -0*f - 4*f + u*d + 1264. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 - 573*q + 2268.\nAnswer: 3*(q - 378)*(q - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 173*m**2 - 56*m - 4. What is the remainder when 201 is divided by y(1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10914 - 9828. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -135*i**2 - 55*i - 55. Let r(q) = -5*q**2 - 2*q - 2. Let l be ((-40)\/(-16))\/((-6)\/132). Determine l*r(k) + 2*p(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 15. Let m be 1\/k + ((-2975)\/15)\/(-7). Let z = -12 + m. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-230)\/(-15)*33\/(-132)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r - r + 10780. Let b be (-3 - 4\/(-2))\/(35\/r). Suppose 10*f + b = 12*f. Calculate the greatest common factor of f and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/37 and -5?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + 5*y - 6*y + 0*y to the form x*y + b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120 - -17.9.\nAnswer: -102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313334 (base 5) to base 8.\nAnswer: -24345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55382.\nAnswer: 2, 27691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -9, 20, -5, -102 in decreasing order.\nAnswer: 20, -5, -7, -9, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n. Let o be h(3). Let y = -4 + o. What is the units digit of ((-1)\/(-2))\/(y\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(90)\/(-4*sqrt(9))) + (0 + sqrt(972))**2.\nAnswer: -4*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:55 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**18\/(p*p**(-11\/4)\/p)*(p**31*p*p)\/p*p**(-10\/7) assuming p is positive.\nAnswer: p**(1437\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 657 (c) 75795\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-9)*(-6)\/4. Suppose -b - 3 = -q*c, 4*c + b + 1 = 22. Find the first derivative of 2 + c - l - 5 + 1 wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*p - 6, p - 2*p + 19 = -4*g. Let o be (-4186)\/276 - (-2)\/12. Put g, 4, o in decreasing order.\nAnswer: 4, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 46. Let b(d) = 3*d**2 - d - 3. Let h(k) = 6*k**2 - 2*k - 5. Calculate f*h(t) - 5*b(t).\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 4 + 1 - 232*r + 262*r)*(6*r**2 - 2*r**2 - r**2).\nAnswer: -3*r**4 + 90*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*h*j*t - 1963*h*j + 15*j*t + 723*j wrt h?\nAnswer: 28*j*t - 1963*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6888 - 4900. Let j = u - 1188. Round j to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*p + 60*p + 18. Let z be ((-27)\/p - 5)*4. Sort 1, z, 2, -3 in decreasing order.\nAnswer: 2, 1, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 0)*(-2)\/5. Suppose -m - 3*c = 2, -2 = j*m + m + 5*c. Suppose 54*k = 44*k + 90. Calculate the lowest common multiple of k and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30024 divided by -271?\nAnswer: -30024\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469845?\nAnswer: 3, 5, 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/4*117\/(-630)*-10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 + 45 = 22*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 21*o**3 - 4*o**2 - 7*o + 14. List the prime factors of f(3).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/15)\/(2\/10). Let h be 2 + 3\/(3 + (s - 0)). Suppose 7*n = 33 - h. Solve -n*i = 5*d + 6, 5 - 3 = 2*i + 5*d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = -4*q - 0*g, 3*q - g = 9. Suppose 4*l = 3*x - q - 11, -x + 2*l = -6. Solve -x*v = 3*d - 10, v + 9 + 0 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaa when three letters picked without replacement from {a: 2, l: 4, k: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 17*i + 128, -g = 126*i - 125*i - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 22040024.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**4 + 713*p**3 + 3*p**2 + 167*p + 3 wrt p?\nAnswer: 120*p + 4278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 430*m**4 + 14*m**2 + 2*m.\nAnswer: 10320*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/5)\/((-4)\/10). Let m(q) = -q**3 + 19*q**2 + 27*q - 106. Let x be m(20). Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20327135 to the power of 1\/2, to the nearest integer?\nAnswer: 4509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*r - 287*r - 7 = -2*z, 13 = -4*r + 9*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2 + 0 + 0 - l. Let f(c) = -c**2 - 10*c - 5. Let b be f(-10). Let o(r) = -r**3 - 4*r**2 + 4*r - 1. Let m be o(b). Determine h(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 - 57 = 0. Let c be -4 - (-7)\/2*12. Suppose c + 117 = 5*t. What is the remainder when t is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 1\/3*k**3 + 0*k**4 + 1\/60*k**5 - 16*k**2 + 0 + 0*k. Find the first derivative of h(q) wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-3\/5)*k)**(-28)*k**8*k\/(k*k\/(k\/(k*k*(k**(-4)*k*k)\/k*k*k))*k))**(4\/39) assuming k is positive.\nAnswer: k**(-664\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 24. Let b be 2\/k - (-20)\/(-119). Let p = -695018 - -695020. Sort 0.1, 0.6, b, p in descending order.\nAnswer: p, 0.6, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnynlfdq. What is prob of picking 2 n and 1 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313059.\nAnswer: 3, 241, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 24998061.2 to the nearest 100000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/7 + (-287)\/49. Let k(w) = 13503*w + 18. Let c be k(a). What is c rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a33 (base 12) to base 4.\nAnswer: -1220013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004658 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*j = -137, -105*p - 325*p + 5*j + 200 = -421*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77969206717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5568 and 98136.\nAnswer: 785088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 5*v**3\/3 + 100*v**2 - 1125*v + 4377. Factor t(c).\nAnswer: 5*(c - 5)*(c + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 = 5*l + 8, 4*l + 28 = 4*i. Let m be (-1)\/(-3*i\/36). Which is the smallest value? (a) 1 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r + 1. Let g be p(-2). Suppose -2*i + 5*c + 60 = 3*i, 0 = -i - 5*c + 30. What is the highest common factor of g and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.134 rounded to 0 decimal places?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = -15. Let s be (-1)\/(-1 - -2)*4. Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 12, 18, 26, 36?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3671 (base 14) to base 10\nAnswer: 9507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + o + 8. Let s = 4 + -4. What is the units digit of h(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6.209761 microseconds?\nAnswer: 0.000006209761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 20155.\nAnswer: 4031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -21. Solve 5*f - 4*q + 26 = -5*q, 4*f + n = 5*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 32. Suppose -6*w - 240 = 2*w. Let t = w + 44. Let x be q(t). What is the second smallest value in x, -0.5, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, -1, 26, 1 in decreasing order.\nAnswer: 26, 4, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0*u)\/(u*u**(-7))*u**(-5)\/u*u**3)**(2\/15) assuming u is positive.\nAnswer: u**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6, 5*f = 2*n + 4*f - 279. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + (-18)\/(-8). Let f = -41 + 46. Put f, h, 0.1 in decreasing order.\nAnswer: f, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*c - 63*c + 7935 = 0 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 7:59 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/49 - 41\/196. What is the biggest value in h, 3, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179 divided by -40082.\nAnswer: -179\/40082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 1 - 1)*(137*l + 2241 - 2241)*(-4*l + 0*l + 3*l) in the form n*l + s*l**2 + m and give s.\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8319155 centuries in months?\nAnswer: 998.2986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -444.8178 from -196.\nAnswer: 248.8178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + 4*w)*(14*w**2 + 116*w - 102*w - 7 - 16*w**2 + (0*w + 3*w - 2*w)*(-w + 4*w - 2*w))*(-w**2 + 0 + 0).\nAnswer: 2*w**5 - 28*w**4 + 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1040083.05 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 44, 73, 106, 143, 184, 229?\n\"Answer: 2*o**2 + 23*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -603857187*i**2. Let o(z) = -2*z. Give o(t(x)).\nAnswer: 1207714374*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*n**3 + 2*b**2*n**2*v - 2*b**2*n*v**2 - b**2*v - 4*b*n**3*v**2 + b*v + 10*n**3*v + 34*n**2*v**2 wrt v.\nAnswer: -4*b**2*n - 8*b*n**3 + 68*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*x**2 - 5*x**2 - 3 + 5 to p*x**2 + q + t*x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5685 is divided by (-1280)\/(-112) + ((-1)\/(-14) - (-4)\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665472867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1890, -7515, -16880, -29979, -46806?\n\"Answer: c**3 - 1876*c**2 - 4*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1073, 7 in ascending order.\nAnswer: -1073, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/525 (b) -2\/13 (c) -4 (d) 0.3 (e) -2\/11 (f) -2\/3 (g) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -36\/31 (c) -2 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 4*v**2 + 2*v - 10. Let j be f(3). Let d(h) = -6*h**3 - 5*h**2 - 5*h. Let u(n) = 15*n**3 + 12*n**2 + 12*n. Determine j*u(m) + 12*d(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q - 31*q + 11*q + 18*q.\nAnswer: 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10959760.\nAnswer: 2, 5, 7, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/8 + 1)\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f. Let d(x) = -8*x**2 + 0*x + 6*x**2 + 0*x. Calculate c(d(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -23, -38, -71, -128?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 76*h**2 - 140*h + 68.\nAnswer: -4*(h - 17)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4 + 0*x + 3 + 2*x. Let n(k) = 10*k - 55. Let a be n(5). Give s(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 18, 5, 2\/7, 2, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.985 - -0.585. Let m = 53\/31 - 1205\/868. Let b = m - -3\/7. Put 3\/5, b, a in descending order.\nAnswer: b, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3703, 7411, 11119?\n\"Answer: 3708*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = -3, 0 = -5*p - 4*n + 1181. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + m + 15. Let z be p(0). Suppose w + 5*f + z = 0, 0*f - 3 = -3*w - 3*f. Let g = w + -1. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-30)*((-8)\/(-792))\/((-5)\/(-9)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133035 + -51654. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5909 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.7 + -19. Let m = 2727.7 + -2728. Let o = -4.95 - 0.05. What is the third biggest value in u, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8 + -4.1. Let f = 4 - 3.9. Which is the nearest to f? (a) -3\/4 (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 10*k - 10. Let z be (-3)\/k - 9\/(-6). Let t be (1 - (-7)\/2)*2. Solve -3*u + z = t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -204.6 + 200.6. What is the third smallest value in g, -1, 12, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and 0.3.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010 + 101100110111101110011?\nAnswer: 101100110111100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-9))\/(6\/189). Let d be 6\/a + (-264)\/42. Let q(k) = 2*k**2 + 8*k + 14. List the prime factors of q(d).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8238733 is divided by 825?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((-7 - -1) + 19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 64*v**2 + 4*v - 1. What is the tens digit of f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40856911 to the nearest integer?\nAnswer: 6392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 (base 14) in base 7?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 7*c + 7. Let x be g(-6). Let r(z) = 20*z**2 - z. Let s be r(x). Let n = 11 + s. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 100?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 3 - (3 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 172033374*i - 122067410?\nAnswer: 172033374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**3\/6 - v. Let o be -5*-4*(-1)\/(-10). Suppose 0 = o*k + k. Give z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 = -2. Let o(j) = -5*j**2 + 2*j + 5 + j**2 - 8. Let h(z) = -4*z**2 + 3*z - 2. Let v(p) = l*o(p) + 3*h(p). Find the second derivative of v(y) wrt y.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385 by 164.\nAnswer: 385\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**21)\/l))\/((l\/l**33)\/l)*(l**(-8))**(-14))**37 assuming l is positive.\nAnswer: l**6179","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17348344 divided by 26.\nAnswer: -667244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 39, -0.2, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g**10))*g)*g)\/((g*g\/(g*g**(-4\/19)*g))\/g*g))\/(g**(-10\/9)\/(g\/g**(-4))) assuming g is positive.\nAnswer: g**(-701\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/6 (b) -3\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*s**4 + 48\/7*s + 32\/7 + 2\/7*s**2 - 12\/7*s**3.\nAnswer: 2*(s - 4)**2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67 and 18425.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 11. Suppose -y*w - 168 = -3*s, 2*s - 2*w = w + 111. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(-363) - 1612500\/(-396) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5\/2*b**3 - 16*b + 6\/5 + 127\/10*b**2 = 0.\nAnswer: 2\/25, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1607.6858 and -12281?\nAnswer: 10673.3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231031 (base 4) to base 12.\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5 in increasing order.\nAnswer: -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s = -4*i + 287, -4*i + 169 = 3*s. Suppose -5*u = 4*l + s, -l + 3*u = -3*l - 29. Let t = l + 16. Let q(b) = b**3 + b. Give q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -37) + (-2784)\/75?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 + 4*r. Calculate n(3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59.4 + 60. Which is the closest to 1? (a) r (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Suppose 0 = -2*q + 6*q - f, -q - f = 0. Which is the nearest to q? (a) i (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*z - 32. Let g be (2 + -2 + z - 11)\/(-2). Let 1\/2*n**5 + 0*n**2 - n**3 + 0*n**g + 1\/2*n + 0 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/28)\/(2\/4). Let j(o) = -o**3 + 5*o**2 - 2*o + 9. Let u = -88 + 93. Let p be j(u). Which is the closest to p? (a) z (b) -1 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 6*h**2 + 7*h + 9. Let r be a(7). Let l = r + -9. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p*w**6 + p*w**4 + 76*p*w**2 + 22*p*w - 1091*w**3 wrt w.\nAnswer: 480*p*w**3 + 24*p*w - 6546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 5479\/3 and 64 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -40*f + 10. Let x = 2950 + -2930. Let j(y) = -13*y + 3. Calculate x*j(u) - 6*s(u).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (13 + -9 + -10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -382, -927, -1474, -2023, -2574, -3127?\n\"Answer: -a**2 - 542*a + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 210 = -4*i. Suppose 9*z - 11*z = -50. Calculate the remainder when i is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 0*u**5 + 0*u + 8\/3*u**3 - 8\/7*u**7 + 8 + 0*u**2 + 0*u**6 + 0*u**4. What is the third derivative of z(h) wrt h?\nAnswer: -960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14436 - -14439. Let z(d) = -3*d. Let g(r) = 4*r - 1 + 1. What is m*z(i) + 2*g(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 1 + -2)*220\/(-330). Let n be 5\/2*(-10 - 4). Let j be -2*(n\/(-10) - i). Do j and -2\/93 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185911 is divided by 185886.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 3*c - 9, -24*s - 4*c = -25*s + 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8419648 (base 10) to base 14.\nAnswer: 1192556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)**5\/(l**(-5\/2)*l**(-5)))\/(((l\/(l**(-2\/15)\/l)*l*l*l)\/(l\/l**(-3)))\/((l\/l**0)\/l)**(2\/5)) assuming l is positive.\nAnswer: l**(-109\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-10) + (-6)\/(-15). Suppose u - 4 = -s. Factor -8\/3*j**2 - 2\/3*j - 2*j**s + 0.\nAnswer: -2*j*(j + 1)*(3*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0463512 at most 1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*u = -193*u + 1190 - 2066 - 3044 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -69*(-37)\/(-1110) - (-24)\/10\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - c + 3. Let l(x) = -4*x**2 - 2*x + 4. Let w(v) = -63*v + 2. Let j be w(0). Give j*l(p) - 3*o(p).\nAnswer: p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Suppose 19*q + 8 + 11 = 0. Let r(y) = y**2. Give q*s(z) + 3*r(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*r = 75*r - 99*r + 4131 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*3*(sqrt(192)*6*-2 + -1).\nAnswer: -864*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-4)*(219 - -56065) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (-137 - -151) + -57?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6955, 13915, 20875, 27835, 34795, 41755?\nAnswer: 48715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 146*h + 107. Let r be q(48). Solve 0 = 3*y - 0*n + 4*n - r, -4*y + 2 = -n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d**2 - 119655*d + 20836*d + 3098*d.\nAnswer: -16*d**2 - 95721*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -448 + 448. Solve s = -y - y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 85019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**3 + 90*h**2 - 19*h - 75. Determine s(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 36*c - 8. Suppose 8 - 35 = 9*s. Let f be 4 + ((4 + -4)\/s)\/2. What are the prime factors of q(f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/148 - 22\/(-72)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, v: 7}. What is prob of picking 3 v?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = -3*l - 2, 257*l - 259*l - 5*n = 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/12528162 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1352 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/7 - 1)\/(10\/70). Suppose -k*l + 2*o + 122 = 0, -l - o + 26 = -31. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 12. Let r be w(-14). Let d(i) = i + 4. Let c be d(r). Suppose -2*t = 3*u + 14, -5 - 3 = c*u. Sort 1, 2, t in increasing order.\nAnswer: t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54120 (base 8) in base 16?\nAnswer: -5850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.918767mg?\nAnswer: 918767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 158665.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2. Let n be (-3)\/12 - (-21)\/4. Suppose -5*d + 5 + n = 0. Let t(x) = -13 + 7 + d*x + 6. Determine q(t(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:11 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:19 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 67*u**2 + 141*u - 2206. List the prime factors of t(18).\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*l - 200*l + 60*l + 14 + 67*l.\nAnswer: -10*l + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51 - 47 - (-1)\/((-2)\/8). Suppose 2\/11*t**3 + 8\/11*t**4 - 4\/11*t**2 + 0 - 6\/11*t**5 + q*t = 0. Calculate t.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1187*a**2 + 5*a - 2. Does 20 divide q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3124, 3118, 3110, 3100, 3088, 3074?\nAnswer: 3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -285.6 times -0.4\nAnswer: 114.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 68672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m - 4. Let g be l(4). Suppose -252 = 99*h + 94*h - 165*h. Sort g, 1, h in descending order.\nAnswer: g, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1196*n**2 + 2063*n - 2063*n.\nAnswer: -1196*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -32*k**2 - 34*k - 9. Give b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.52 minus 30?\nAnswer: -99.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6*(5 - 2 - -49)*-1. Solve j*b - 28*b = -12 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = -2175 + 330. Is t >= -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -43. Let k = 4604 - 4500. What is the highest common factor of r and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 97 = -4*j - 74, 5*n - 5*j - 170 = 0. Let m be 7\/n + 9\/5. Solve m*v - 16 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 278281879 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 652.87 + -647. Let m = -6 + y. Let l = -0.03 - m. Sort l, 2\/5, -2 in increasing order.\nAnswer: -2, l, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 1\/6*y**4 + 0*y**2 + 0 + 0*y**5 + 0*y**6 + 1\/42*y**7 + 0*y**3 + 3*y. What is the third derivative of a(s) wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140933.\nAnswer: 13, 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0*v + 2*v**2 - 1\/9*v**3 - 1\/54*v**4 + 1\/270*v**5 + 0. Factor n(h).\nAnswer: 2*(h - 3)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3474529 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146704929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r - 14 = 0. Solve 0 = -p + 4*p + 4*x + 19, -2*p - 3*x = r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 4*q + 10. Suppose 6*h - 28 = 2*h. What is the units digit of d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9*(-2)\/6 + -14. Let c = -947.9 + 948. What is the closest to c in 5, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*o**3 - 2*o**3 + 9*o**3)*(-2 + 0 + 1) in the form d*o**3 + u*o + t*o**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8*m = -4*m - 24, -2*n - 8 = -3*m. Suppose -n*b + 3 = -b. Factor r**2 + 10 + b*r - 2 + 7*r + r**2.\nAnswer: 2*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.073 (b) 2 (c) 4\/9 (d) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87224, -87223, -87222, -87221, -87220, -87219?\nAnswer: -87218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pec when three letters picked without replacement from opepellpbpeplecp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 + 2*k**3 + 2*k**3 - 414.\nAnswer: 4*k**3 - 733","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 1. Give a(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8034643 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4459, -4458, -4457, -4456?\nAnswer: -4455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.2 (b) -2 (c) -0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2594572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 1\/6*g**3 - 9\/2*g**2 + 21*g + 1\/4*g**4 + 0. What is the units digit of f(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.515206847 to four decimal places.\nAnswer: -0.5152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w + j - 24 = 0, 4*j = -5*w + 63. Solve 2*o = 5*v + w, 0 = -0*o - o + 5*v + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*x + 29, -2*x = 3*c + 1 - 16. Suppose 8*i = 11*i, -x = -m - 2*i. Suppose 138 + m = 4*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1314100 - -232?\nAnswer: -1313313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -45227*v**2. Let y(c) = 2*c. Determine d(y(a)).\nAnswer: -180908*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*l**4 + 628 - 628)*(-1 + 1 + 1) + (2*l**2 - 2*l**2 - 10*l**2)*(0 + 2*l**2 + 0).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16156\/9 + -1795. Which is the nearest to 3\/4? (a) m (b) 2\/3 (c) 2\/377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 13572?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 20. Let j = -2 - h. Let v = 8 - 7. Which is the closest to v? (a) 0.1 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 106. Let l = -17.6 - -17.9. Let a(x) = -x - 8. Let i be a(-9). Sort i, l, n in descending order.\nAnswer: i, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k + 22. Let f(n) = -n + 7. Let h(p) = -7*f(p) + 2*y(p). What is the remainder when 1 is divided by h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 + -15 - (-1)\/(-1). Suppose -s*m + 8*m + u - 1775 = 0, -m = -3*u - 355. Suppose 3*y - t - m = 0, 0 = -2*y + t - 6*t + 231. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 254904 and 6536?\nAnswer: 254904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - 6) + (5 - -2 - 7) + 5.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*j - 170 = 5*j, 4*i - 3*j - 339 = 0. Let n = 239 - i. Calculate the greatest common divisor of 62 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7465\/3 less than -2488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s**2 + 2\/3*s**4 + 4\/3*s - 4\/3*s**3 - 2\/3.\nAnswer: 2*(s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + 142 - (-52)\/(-2) - -16?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - 515*i**4 - 34011*i + 2*i**2 + 1 + 34010*i - 3*i**2 to the form t*i**4 + j*i + k*i**3 + g*i**2 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 46 + 55. What is the remainder when d is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, -0.4, 0.1 in ascending order.\nAnswer: -0.4, 0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*2 + -5 - ((sqrt(1008) + 0)*-4 + sqrt(1008))**2 - (-5 + (2*sqrt(1008) - sqrt(1008)) + -5)) + -5.\nAnswer: -9072 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 185780*f**3 + 133976 wrt f?\nAnswer: 557340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.04 and 38.01.\nAnswer: 37.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**3 + 588*d**2 + 1422*d + 135. What is j(-71)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p. Let f(h) = -110*h + 858 + 46*h - 63*h - 858. What is u(f(b))?\nAnswer: 889*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 2. Let u(o) = 15*o + 9. Let n(i) = -60*i - 37. Let z(m) = -2*n(m) - 9*u(m). Let b(y) = 14*h(y) - 4*z(y). Let q(l) = 13*l. Give b(q(a)).\nAnswer: -130*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 - -114. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 9*y + 7*y + 28, -5*y = 5*j + 60. Sort 4\/5, j, -3\/5, 1\/3, 0.9 in descending order.\nAnswer: 0.9, 4\/5, 1\/3, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 12 + -11 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 75 = r. Which is the nearest to 1? (a) r (b) 27 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -336.6 + 308. Let p = 8.5 + g. Let x = 15 + p. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from ffffffffffffffffsf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 3*f = 30, -f - 32 = -5*n. What is the tens digit of 874\/57*n\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -20.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 4. Suppose -4*j = -d*j - 8. Is 4\/8 - (-154)\/j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/86930 and -61\/1368?\nAnswer: 59460120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m - 2. Let b(d) = -2*d**2 + 10*d + 7. Let c(p) = 2*b(p) + 7*j(p). Let l be c(1). Solve -h + l*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -88. What is the derivative of h - 9 + 3*d**3 + 0 - 10*d**3 wrt d?\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6523 - 29220 = 438*q + 17255 for q.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30944 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 9) to base 4.\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4214425 (base 6) to base 16.\nAnswer: -31ed1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 40*n + 25. Let d(u) = u**3 + 3*u**2 + u + 1. Let k be d(-2). Let m(q) = 5*q + 3. Let h = -352 - -327. Determine h*m(p) + k*z(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.14 and 80880473875?\nAnswer: 80880473875.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27108 is divided by 2460?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*s - 5*f - 16 = -153*s, 0 = -5*s + f + 24. Let u(w) be the second derivative of 1\/12*w**s + 4\/3*w**3 + 0 + 5\/2*w**2 - 8*w. What is u(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 2212615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76\/21 + 16\/7. Calculate the common denominator of u and -55\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 * -0.07\nAnswer: 0.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -106*r + 107*r. Let m(d) = -d**3 - d**2 + 4*d + 6. Let q be m(r). Solve -p - 1 = -q*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1203*h - 975*h - 471*h as m + r*h and give r.\nAnswer: -2649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j + 338 = -94 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 205407, 405053, 604699?\n\"Answer: 199646*z + 5761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5))**(1\/10) assuming o is positive.\nAnswer: o**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j + 16. What is x(7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let o(p) be the third derivative of 17*p**4\/24 - 8*p**2. Determine o(x(c)).\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 197882, 198835, 199786, 200735, 201682, 202627, 203570?\n\"Answer: -a**2 + 956*a + 196927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 0 + 0.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -i + 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 737.1*0.4\nAnswer: 294.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -72*x + 298. List the prime factors of h(-32).\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 19*i + 5. What is the units digit of y(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*b + 61 - 23, 5*b - 29 = -a. What is the remainder when 196 is divided by a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -818 (base 10) to base 15.\nAnswer: -398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 79559924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3\/2 + 31095*f**2\/2 + 16833825*f\/2 - 250148064915\/2.\nAnswer: -5*(f - 4401)**2*(f + 2583)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1829 - -1827.8664. Let c = -0.0036 - y. Are c and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -16 + -1 + -108 + 118.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -735221075 divided by 769865\nAnswer: -955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -17 (b) -1\/65 (c) -427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(80)\/sqrt(4))\/(sqrt(256) + (sqrt(256)*2 - sqrt(256)) - sqrt(16)\/sqrt(4)*-1))**2.\nAnswer: 320\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 132*b - 2220. Let v be h(-17). Let a be (-4)\/14 - (-719)\/(-7). Let t = v + a. What is the highest common factor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -142*u**2. Let j(f) = -341*f + 89*f + 83*f + 83*f + 83*f. Give l(j(g)).\nAnswer: -1278*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ed3 + 3?\nAnswer: -1ed0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/4180*5)\/(22\/16).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859452*f**3 - 859474*f**3 + 1718929*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**3 + 8973*x**2 + 1083543*x + 32934571 = 0. What is x?\nAnswer: -8851, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 292, 23, 5 in descending order.\nAnswer: 292, 46, 23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 97074 times -0.4\nAnswer: -38829.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*q + 36*q - 11*q + 41*q - 2*q**2.\nAnswer: -2*q**2 + 91*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4374222 milligrams?\nAnswer: 0.0000004374222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028458957 to 7 dps.\nAnswer: -0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25130*a - 6826 + 3588 + 3238 to the form m*a + n and give m.\nAnswer: -25130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/78921 and -44\/203852943?\nAnswer: 203852943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:47 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 4. Let h = -9.999936 - u. Round h to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 5956, 10528?\nAnswer: 15100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 10. Let w be q(-5). Suppose -w*t - 400 = -5*r, -3*t + 160 = 2*r - 2*t. Let h = r + -44. What is h rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4, 4*g + p - 460 + 177 = 0. Calculate the remainder when g is divided by (7\/3)\/(2\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 + g**2 - 12*g + 7498. What are the prime factors of c(0)?\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1. Let n be (-1)\/(-11)*(r + -3). Let i be (38 - 40)*(0\/2 - 2). Put n, 0.3, i in increasing order.\nAnswer: n, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**2 - 5*s**2 + 84*s**3 + 113*s**3 + 22*s**2.\nAnswer: 197*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/6*(-14 + -1). Let d = -266.77 - 0.23. Let o = -266 - d. Does o = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(4\/13)*r)*r)\/r**(-7))**(3\/5)\/(r**1\/((r*r**(-1\/4))\/r)*r*r**5*r\/r**(2\/7)) assuming r is positive.\nAnswer: r**(-1303\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 135 = -2*p, -4*r + 2*r + p + 55 = 0. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*p - 45*p - 101976. Suppose 127*k = 135*k - p. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 6) to base 7\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2 - 4*j**2 + 5*j**2 + 4*j - 6*j. Let r(q) = -6*q**2 + 11*q + 11. Let c(u) = -2*r(u) - 11*w(u). Let t(m) = 3*m**2. Calculate c(t(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 7*n + 75. Let a = 124 + n. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*l + 19480, -2*l - r + 8369 = -1375. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.239 * 0.003\nAnswer: -0.054717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-1215)\/18)*(-5)\/3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 11*g - 5. Suppose 5*a - 5*y = 75, -3*y = 5*a - 25 - 10. Let m be k(a). What is the units digit of 45\/75 + 482\/m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 - ((-1104)\/(-1472) - (-27)\/12)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 60 = -5*y, z + y + 3*y = 24. What is the greatest common divisor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t = -9*f + 20*t - 135, -19*f + 2*t + 38 = -21*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 12 = -4*v, 48*v = 45*v + 2*d - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79046537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 70444 * 515\nAnswer: 36278660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 352\/(-220)*190\/(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*z**3 - 5*z - 137*z**3 - 2*z**2 + 217*z**3.\nAnswer: -382*z**3 - 2*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-4))\/((-18)\/(-120))*(-228)\/(-380).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 109*v**4 - 1050*v - 1. Let c(o) = o**2. Give c(k(w)).\nAnswer: 1710864*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**3 - 37*k**2 - k*u**3 + 5*u**3 wrt k?\nAnswer: -6*k**2 - 74*k - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18151 + -381169\/21. Factor 0 + 2\/7*a**2 + 10\/21*a**4 - s*a**5 - 2\/3*a**3 + 0*a.\nAnswer: -2*a**2*(a - 3)*(a - 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6690978323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 8 = -88*y - 74. Let x = 2 + -7. What is the nearest to 0.3 in x, y, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-25710)\/(-6425) + -4). Suppose -8*j = -3*j - m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -65*w**3 + 6*w**2 - 3. Let c(g) = -3120*g**3 + 286*g**2 - 143. Calculate 6*c(o) - 286*v(o).\nAnswer: -130*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntvthhvtffvnhntt. Give prob of sequence nvvh.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 478245061 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.32 (b) -12635 (c) -2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**4 - 6268*l**3 + 8015 wrt l.\nAnswer: -4*l**3 - 18804*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10 + 4*y - 10. Let s(d) = 3*d. Determine s(h(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0936 - -53.1936. What is w rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16225*h*p**4 + 1649*h - 3 with respect to p.\nAnswer: 64900*h*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s - 5. Let f be -5*(s + -6*1). Let p = -10 + f. Solve n - 14 = 2*l - 0*n, p*n = 4*l + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - s**2 - 1. Determine h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53696567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -235850 greater than or equal to -235846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 69.\nAnswer: -7, -2, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r. Let w(y) = 11023*y + 10. Give w(z(g)).\nAnswer: -77161*g + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1606334 + -3?\nAnswer: 1606331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccddddccdecedd. Give prob of picking 1 e and 1 d.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Let n(u) = u**3 + 11*u**2 + 11*u + 15. Let k be n(-10). Let x be (-1)\/(k\/(-6 + 1)). Which is the second biggest value? (a) q (b) 16 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 39159*o + 195725. Give v(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 3*q**2 - 4*q - 1. Let h be p(-4). What is the closest to h in -0.3, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 75*n**5 + 1780*n**4 - 11075*n**3 + 11040*n**2 + 500*n - 2320 = 0.\nAnswer: -29, -2\/5, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y\/y**(-6))*y**(9\/5)*y)**(-10))**50 assuming y is positive.\nAnswer: y**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:14 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35656965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**3*d**4 - 2*a**3 - 8009*a**2*d**4 + 16136*d wrt d.\nAnswer: 36*a**3*d**2 - 96108*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.028 - -0.002. Which is the smallest value? (a) k (b) 0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = 5*q - 4, 2*q + 4 = -z + q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 5. Let i be r(-3). Suppose 4*u + 2 - 22 = -3*y, i*y - 8 = 0. Solve q - 3 = -u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, r: 10}. What is prob of picking 3 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-25) + (-8)\/(-5). Let u(m) = m**3 - 2*m**2 + m. Let t be u(s). Is (t + (-10)\/4)*-106 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 + 3*t**4 - 2*t**4)*(16 - 5 - 8) + (2*t - 1 + 1)*(5*t**3 - t**3 - 2*t**3) + 5*t**4 + t**4 - t**4 + 2*t**3 + t**4 - 2*t**3.\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjvcjmzzvcciimvmj. Give prob of sequence cmm.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2574, 10273, 23084, 40971, 63898, 91829, 124728, 162559?\nAnswer: 205286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16065)\/(-3825)*50\/14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75194 to two dps.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 777 and 2571.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/18*2\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -14*c**3\/3 + 2*c - 530. Let l(z) = -56*z**2 + 9. What is 4*l(p) - 18*o(p)?\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-4) - 6*-1. Let i(n) be the third derivative of 0*n**4 + 0*n**3 + 0*n - 1\/60*n**b + 0 - n**2. Factor i(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 4. Let d be l(3). Let o = -6 + d. Is -4 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = k - 3*w + 2*w, 0 = -3*w + 9. List the prime factors of k.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h**3 + 3*h**2 + 2. Let j(z) = -z**3 - z**2 - 1. Let g(b) = -3*j(b) - w(b). What is g(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 8212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 81 = 90. Suppose 5*s + 2*v = 83, s - 4*s + h = 3*v. Find q, given that 0*q**2 + 5*q**2 + 8 + 0*q**2 - s*q - 28 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 17274.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34271122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -256, -117?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13297 is divided by 581.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5 + 2*f**3 - 16*f + 7*f + 8*f**2 - 2*f**3 - f**3. Calculate y(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -4090, -13800, -32708, -63880, -110382?\nAnswer: -175280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o**2. Let i(t) be the first derivative of -130*t**3\/3 + 304. Give g(i(x)).\nAnswer: 236600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from xljjlljl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 14. Let s(y) = 1. Suppose -k - 4 = -l, -k - l + 6*l = 0. Let j(f) = k*s(f) - b(f). Let d(r) = r. Calculate j(d(n)).\nAnswer: 2*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3 + 30*d**2 + 54*d + 26 = 0. Calculate d.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**3 - 20*z**2 - 73*z + 9. Let s(x) = 5*x**3 + 10*x**2 + 37*x - 5. What is -7*s(v) - 4*t(v)?\nAnswer: v**3 + 10*v**2 + 33*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 427136.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:37 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -167\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + f - 11 = -3, f - 23 = -5*w. Let i(g) = 3 - 4*g**2 - 2 - 750*g**3 - g - 742*g**3 - 3*g + 1493*g**3. Calculate i(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 9*r + 11. Suppose -24 = -2*f - 8. Let n be m(f). Suppose -100 = -4*v + 5*z, n*v - z = -6*z + 40. Solve 5*a = 4*p + v, 2 = -5*a + p + 7 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.171 - -0.17099943. What is o rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1060, 2328, 3596, 4864?\n\"Answer: 1268*y - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-15))\/((-8)\/160).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(528))\/sqrt(11).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/(47\/(-141)). Suppose 4*p + 2*w - 13518 = 0, -k*w + 136 = -p + 3498. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 - 7*d + 9. Let a be z(6). Let l be a\/6 - (-2)\/4. Let t be ((15 - 10) + (-22)\/4)\/2. Sort t, l, 4.\nAnswer: l, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3994565 by 8665.\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17539 divided by -1\nAnswer: -17539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1018 + -94. Suppose 12*s - 10008 = k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 173. Suppose -4*l + v = -38. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) 0.3 (c) 0.05 (d) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1 (b) -0.2 (c) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 12 = j + 4, b - 2 = j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*d**2*x**2 - 109*d**2*x - 10*d**2 - 439*d*x**3 - d + x wrt x?\nAnswer: -102*d**2 - 2634*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -130135156873.\nAnswer: -130135156877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**2 + 0*t**3 + 103*t**4 + 2*t**3 - 101*t**4 as q + u*t**2 + k*t**4 + f*t + m*t**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(5) + sqrt(2))*3 - sqrt(2))**2 - (sqrt(60)\/sqrt(6))\/sqrt(5).\nAnswer: -sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1502, 2210, 2918, 3626?\nAnswer: 4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45a - -31949?\nAnswer: 320a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1316 and -65\/1316.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30454343 - 0?\nAnswer: 30454343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30666871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*2*sqrt(3) - (4 + (sqrt(75) - (sqrt(75) + 2 + sqrt(75)))).\nAnswer: -2 + 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -3. Let k = 258 - 258. List the prime factors of 2 + (t - k) + 92\/1.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 50568*a**2 + 247*a - 248. What are the prime factors of w(1)?\nAnswer: 11, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005795 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1694, -3902, -6068, -8186, -10250, -12254?\n\"Answer: m**3 + 15*m**2 - 2260*m + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 3*m + m. Let c(d) = 5*d**2 - 2*d + 6. Let i(n) = 7*n**2 - 3*n + 9. Let l(q) = -3*c(q) + 2*i(q). Determine v(l(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102211210100200 - -102?\nAnswer: 102211210101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28 + (1 - 1)\/(-1). Suppose 2*i + 5*b + n = 0, -i + 4*b - 8 + 20 = 0. List the prime factors of 8\/2*(-7)\/i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 599 by -19.\nAnswer: -599\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 8*m**2 + 6*m + 10. Let p be s(7). Suppose -10 = 5*n + 20. Let h be 28\/(-24) + (-4)\/n. Put h, p, -2 in descending order.\nAnswer: p, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -939 + 1386.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19060 = -4*j + 67*k - 62*k, -4*k = 0. What is j rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -a?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*n + 10538, -164*l + 162*l + 4204 = 4*n. What are the prime factors of l?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -291352, -582705, -874058, -1165411, -1456764, -1748117?\n\"Answer: -291353*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -4096485, 4?\nAnswer: -4096485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**4 - 13*g**4 + 4*g - 2*g)*(1 - 3 - 4) to the form b*g + x + m*g**4 + d*g**3 + v*g**2 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82527*l - 4920*l**2 - 82527*l.\nAnswer: -4920*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3418737 to the nearest integer?\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49740947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6235 (base 12) to base 6\nAnswer: 121305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -166 divided by -4\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-13630)\/(-1269) - (1 + 10)) - 17?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772*h**2 - 632*h**2 + 958*h**2.\nAnswer: 1098*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 199*i - 9180. What is r(46)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50.9 - -49.9. Which is the closest to y? (a) -0.3 (b) -63 (c) 4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18060)\/(-108))\/35*(-279)\/186.\nAnswer: -43\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 556*h**2 + 535*h**2 + 251*h**2 + h - 2*h**2 - h + (3*h - 6*h + 2*h)*(-h - 4 + 4).\nAnswer: 1341*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11220220120 (base 3) to base 16.\nAnswer: -17a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280739405.\nAnswer: 5, 59, 951659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17213 is divided by 265.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231 is divided by 308?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x + 6. Let b be ((-4)\/6)\/(x\/18). Let g(k) = -3*k**2 + 3*k + 3. Let m(h) = h**3 - 5*h**2 + 5*h + 5. Calculate b*m(l) - 5*g(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 344262 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292.27 - 295. What is t rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11473 + 252465\/22. What is the common denominator of c and 35\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9186 - -2.0814. Is p not equal to -90\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*((4*j + j - 2*j)*(-2 - 2 + 2) + (0 + 3 - 6)*(-2*j + 0*j + 3*j)).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 84496518*l\/11 + 84496520\/11.\nAnswer: -2*(l - 1)*(l + 42248260)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from daaxbdbbixida?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 - 2*h + 2. Let w(x) = 9*x**2 + 5*x - 4. Let n(z) = -5*o(z) - 2*w(z). Let s(v) = v**3 - 5*v**2 + 5*v - 2. Let g be s(4). Does 13 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.107 - 1.927. Let d = 12.96 - g. Let v = d + -14. What is v rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87873 divided by -29291\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 81, 0.4, -1\/7.\nAnswer: -4, -1\/7, 0.4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (sqrt(48)\/sqrt(6)*-5)\/sqrt(4))**2*-1.\nAnswer: -60*sqrt(2) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010101100001111011101 - 1010?\nAnswer: -11010101100001111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b = 4*w + 88*b + 1, 6*w + 5*b - 27 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z\/z**(-13\/4))\/(z**(5\/4))**20 assuming z is positive.\nAnswer: z**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/6059 and -25\/3.\nAnswer: 18177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 580, 923, 1172, 1327?\n\"Answer: -47*a**2 + 484*a + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 89, 142, 203?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5\/(-3))\/(67\/(-201)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14*805\/345.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -17)*7460\/15?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(-3 - -5 - -14). Let s = c + -76. Calculate the highest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 112, 92, 78, 76, 92, 132, 202, 308?\n\"Answer: d**3 - 3*d**2 - 18*d + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.759356 centuries to years.\nAnswer: 575.9356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 0.4. Let d = 8 + -8. What is the second biggest value in u, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a - 1170 = -54*a. What is the units digit of ((-1)\/(-1 - -2))\/((-3)\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -621400410 by -6.\nAnswer: 103566735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108621689 and 9874699?\nAnswer: 108621689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2462006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11919426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16)\/((-72)\/(-32))*(9 - (-3 + 4)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j + 99. Let r be y(-10). Solve r*z - 4*z = 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b - 1. Let z = 24 - -16. Let i = z + -41. Let r(p) = -4*p**2 - 8*p - 8. Determine i*r(k) + 8*j(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2\/7 - 29032*f\/7 + 232000\/7 = 0. Calculate f.\nAnswer: 8, 7250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.18132 micrometers to nanometers.\nAnswer: 62181.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r + 103*r + 368 - 54. What is the tens digit of i(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.634197 times 1.32?\nAnswer: 2.15714004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynnn when four letters picked without replacement from {y: 4, n: 16}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.08 (c) -1\/2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 21) + 29 + (2 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50870179?\nAnswer: 1777, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v - 30*v - 312 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) -0.3 (b) 3 (c) -62961\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2 - 3. Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/441 in 2\/13, -2, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -891860632 divided by -222965158\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3158.81 + 3126. Let f = -9555.09 - -9556. Let s = q + f. Round s to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 8. Give h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**3 - 10*q**3 + 0*q**3.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 332.17086*-3.\nAnswer: -996.51258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1)*((-74)\/12 - -6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**4 - 11504*m**3 + 8282856*m**2 - 16485264*m - 24779628 = 0.\nAnswer: -1, 3, 1437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*v + 7*v + 4*s, -2 = -3*v + s. What is the third derivative of -9 + 20 - 1 + 2*t**v + 9*t**3 + 6*t**5 wrt t?\nAnswer: 360*t**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 53. Let f = 173\/2 + -85. What is the closest to 2\/7 in 2\/5, b, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + 70\/15. Suppose m*v - 76 = -4*u, 2*v - 46 = 2*u - 12. Calculate the highest common divisor of 176 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -11197*m + 22. What is the thousands digit of g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1051870 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -44, 14085, -5 in descending order.\nAnswer: 14085, 2, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.89297 minus -327869.9?\nAnswer: 327868.00703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 - (0 + 1))?\nAnswer: -5","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 {a: 3, k: 1, t: 7, e: 3}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 765668119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41102973 to the nearest integer?\nAnswer: 6411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 400012*b**2 - 54475616*b.\nAnswer: 4*b*(b - 100139)*(b + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 9)\/(-1*1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222211 (base 4) in base 2?\nAnswer: -101010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 + 2.1. What is the nearest to -0.1 in -1, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322738616 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*w**4 + 128*w**3 - 208*w**2 + 64*w.\nAnswer: -4*w*(w - 4)*(w - 2)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442342, -884941, -1327540, -1770139?\nAnswer: -2212738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 4*h + 14. Factor -7*t**2 + 5*t**2 + 0*t**4 - 6*t**4 + h*t**5 + 6*t**3.\nAnswer: 2*t**2*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078580 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2059 + 2056. Suppose -4*v = -2*v - 10. Suppose 2*j = -3*o + 1, -v*o - 2*j - 3 = -j. Which is the smallest value? (a) i (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450763 + 1450763 + 2*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 837969432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -2\/23, -1\/11 in ascending order.\nAnswer: -4, -1\/11, -2\/23, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a1b (base 14) to base 6.\nAnswer: 200413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Let t be (-12)\/8*o\/(-3). Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 14*g + 23. What is the units digit of q(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 3*o**3 - 5*o**3)*(-2 + 2 + o**2) + (-9 + 4 - 5)*(104*o - 104*o + 13*o**5).\nAnswer: -129*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most as big as -479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-7*(-20)\/(-18)*(44460\/(-152))\/(-65)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 1:46 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 7*n + 2. Let l be m(7). Let f = 7 - l. Suppose -f*z + v = -2*z - 546000, 3*z - 546000 = -2*v. What is z rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**3 - 146*c**2 - 166*c - 14. Let g(t) = -2*t**3 + 49*t**2 + 56*t + 5. Let q(d) = -14*g(d) - 5*u(d). Solve q(l) = 0 for l.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91260 and 383292.\nAnswer: 1916460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - ((-41 - -42) + (-13 - -1))) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*10721.\nAnswer: 3216.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-18)\/(-6))*140\/120*18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**2 - 121*x - 16. Calculate a(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -67, -2317, -0.3, -1\/3 in ascending order.\nAnswer: -2317, -67, -1\/3, -0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15799742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*p**5 - 2*p**3 - 40*p**2 - p + 5307?\nAnswer: 580*p**3 - 12*p - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2396.431l?\nAnswer: 2396431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 920*q - 1617. Let v(d) = 11960*d - 21020. Let k(y) = -40*h(y) + 3*v(y). What is the derivative of k(r) wrt r?\nAnswer: -920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99626036?\nAnswer: 2, 24906509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-7))\/j**(-1\/8)*(j*(j\/(j\/(j**0\/j*j)))\/j)\/j**(-7)*((j**(1\/2)*j)\/(j\/(j\/(j**7\/j*j))))\/(j**(-1)*j*j**(-1\/2)) assuming j is positive.\nAnswer: j**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = -14*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 78988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115601 is divided by 221?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -37*p - 1303, 1579 = -v + 5*p + 1756 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4516 = 3*z - 6*c, -4*c = 4*z + 5984. Round z to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t. Suppose t = 9*f - 10*f + 58. Suppose f - 10 = 3*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 - 2*y**3 + 6*y**3 + (156 + 139 - 247)*(-2*y**3 - y**2 + y**2) + (-3 + 3 - y**2)*(2*y - 2*y - y).\nAnswer: -87*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((9\/3)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(125))\/(sqrt(32)*-5))**2.\nAnswer: 7\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2. Let f(x) = 2*x + 1. Let w(g) = -2*f(g) + j(g). Let a(d) = 10*d**2 - 6*d + 6. Let q(t) = -t**2 + t - 1. Let o(k) = a(k) + 6*q(k). What is w(o(b))?\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-12)*5224\/(-1959).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 0) + (25 - 28) + (-3 - 0) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - h + 2. Let f(m) = -m**2 + 6*m. Let t be f(6). Let o be a(t). Let k be (o - 1 - 1)\/2. Is -1\/6 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -0.00884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 93718 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 15. Solve c = 3*y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 24. Suppose -8*j = -l*j - 10. Suppose -a + r = -168, j*a - 87 = 5*r + 234. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**19\/g)\/g**(-7\/6))\/(g*g\/(g\/(g\/g**20)*g)*g*g*g**(-1\/27)\/g))**29 assuming g is positive.\nAnswer: g**(58261\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from hcphcu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1020)\/12*(4\/(-6))\/(39\/(585\/(-10))).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(104) + 1*sqrt(104) - sqrt(104)))\/(sqrt(392)*-1))**2 + (-1 + sqrt(832) + -1 - -6*sqrt(832)*2))*5.\nAnswer: 95\/49 + 520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5183976 by -4.\nAnswer: -1295994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (232\/12 - 0)*(6 - 0)\/1 and 899.\nAnswer: 3596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.008 + -0.008. Which is the third biggest value? (a) y (b) -0.5 (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 77. Let f be u(27). Suppose -19 = -2*a - 3*b, 43 = f*a + a + 3*b. Calculate the remainder when 117 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 1, o: 8, h: 4}. What is prob of picking 1 n and 2 o?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -12. Let q = 76 - w. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13560*n - 13554*n - 42 = 3*r, 2*r + 5*n - 17 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06854 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 17*v - 40. What is l(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(192) + 0) + sqrt(192) + 0 + 5.\nAnswer: 5 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 5*y + 600.\nAnswer: -(y - 40)*(y + 60)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141556 divided by 10.\nAnswer: -70778\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*((-126)\/(-35))\/9. Solve -3*c + 0*v = -f*v + 1, -3*c - 2 = -5*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 4 (c) -10\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2584, -10319, -23204, -41233, -64400, -92699, -126124?\nAnswer: -164669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/64*-4*40. Let k be (-11 - -2)*40\/(-12). What is the highest common divisor of t and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 4*t**2 + 4. Let h(q) = -q**3 - 3*q**2 + 3. Let l = -75 + 107. Let f = -35 + l. Determine f*p(u) + 4*h(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729*u - 32610 - 12370 = -739*u. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153\/193 or 0?\nAnswer: 153\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/80616 and -5\/181386?\nAnswer: 725544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 409158257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + ((sqrt(2448) + 3*(sqrt(2448) + sqrt(2448) + 1) - sqrt(2448)) + sqrt(2448) + sqrt(2448))**2.\nAnswer: 588*sqrt(17) + 156681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -y + 8, 35 = -6*t + y for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 636977, 2547978, 5732997, 10192034, 15925089?\n\"Answer: 637009*l**2 - 26*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000011001110101111 - 1000?\nAnswer: -100000011001110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 272063?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1028.8+-271673.245\nAnswer: -272702.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 - 8. Suppose 6*d + 10 = 8*d. Let t be j(d). Which is greater: t or -31\/4?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 2)*(2 + 2 - 5) + (20 + 27 - 16 + 1 - 1 + 2 + (1 + 2 - 4)*(0 + 2 - 3))*(2*z - z - 2*z + (-2 + 4 - 4)*(-2*z + z - z) + 0*z - 3*z + 5*z).\nAnswer: 171*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8438509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 8:00 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + (-5)\/1 - -135. Suppose 4*i - l - 81 = 0. What is the tens digit of i - (2 - (1 + (7 - 4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389172 is divided by 462389.\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:08 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39559 + -39552. Let t = -4.95 + -0.05. Which is the third biggest value? (a) i (b) 4\/7 (c) -2\/21 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 21*x**5\/4 + 327*x**2\/2 - x - 126. Find the first derivative of f(b) wrt b.\nAnswer: 315*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*(-30)\/(-25). Let o be (t + 0 + 3)\/2. Let w(z) = -z - 8. Determine w(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2 - 6*j - 3. Let z = -1 - 0. Let o be 0 - (2 + 3 + z). Calculate l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(1 + 1*sqrt(605) - (1 + sqrt(605))*4).\nAnswer: -132*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + (-1)\/(-15). Let g = 39378 + -39380. Which is the nearest to g? (a) -0.2 (b) t (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3589700 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 34*y - 83*y - y**3 - 2 + 44*y - 4*y**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1470*g**3 + 735*g**3 + 733*g**3 + g**2 + 2 + 2*g as k*g**2 + n + h*g**3 + w*g and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -9. Let j = r - 6.2. Let c = 3 - j. What is the smallest value in -9, c, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n = -200, 6346*n - 6342*n - 47 = -3*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/1189 not equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011096312 to 5 decimal places.\nAnswer: -0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 2*sqrt(500)*4)*-6*-3 + -5*((sqrt(500) - 4*sqrt(500)*1) + sqrt(500)) + -3)**2.\nAnswer: -10320*sqrt(5) + 14792009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577292409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-8 - -2) - (-25 + 32)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = -11*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/28 - (5 - (-6495)\/(-35)). What is the greatest common divisor of 288 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or 343\/6?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1040 + -1030. Let o be -3*(-1)\/(-14)*2. Which is the second biggest value? (a) f (b) o (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -3*a - 2*a, 4*o = -4*a + 28. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (49272\/22)\/(512\/2816)?\nAnswer: 2, 3, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -4*n**2 + 8*n - 2. What is the derivative of j(d) wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 2. Let z be i(1). Let p(h) be the third derivative of 5\/6*h**3 + 0*h - 1\/15*h**5 + 0 + z*h**4 - 7*h**2. Differentiate p(v) wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 3. Let d be (-1)\/2*-14*1. What are the prime factors of t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + z + 76 = 73, -3*r = -z - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 2*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 + 4 + 5 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(2\/7)))\/p)**22)**(-16) assuming p is positive.\nAnswer: p**(3168\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 4 + 14*b**2 - 4*b**2 - 4*b. Let i(q) = -33*q**2 + 11*q - 11. Let j(k) = -4*i(k) - 11*z(k). Let p(g) = -2*g. Give j(p(t)).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30972 divided by 12.\nAnswer: -2581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 + 13 + -20 + (-44)\/5. Factor 2\/5*q**2 - p*q - 4.\nAnswer: 2*(q - 5)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**7\/1008 - f**6\/240 + f**5\/60 - 4*f**2. Let j(i) be the third derivative of z(i). What is the derivative of j(y) wrt y?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7656 is divided by 684?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -1208620\nAnswer: 3\/1208620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 - i**4 + 5*i**4)*(-4*i - 8 + 8) + (-4 + 4 - 2*i)*(2*i**3 + 0*i**3 - 8*i**3 + 2*i**4) - 2*i**5 + 5*i**5 - 2*i**5.\nAnswer: -7*i**5 + 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23034 divided by 11517.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 4*q**2 + q - 2. Let d be f(4). Suppose -3*i = d*i + 25. Let r(x) = -7 - 161*x + 0 + 156*x. What is r(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 g when three letters picked without replacement from {g: 6, u: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012008?\nAnswer: 2, 251501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28243, 56467, 84657, 112801, 140887, 168903, 196837?\n\"Answer: -2*r**3 - 5*r**2 + 28253*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 7. Let h(p) = -134*p + 26. Calculate -h(b) + 4*j(b).\nAnswer: 142*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-54)*-153*6\/(9\/(-3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(26775\/1377)*4\/30?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 + 1. Let j be o(-1). Suppose -2*u + j*z = -29995, z = 2*u - 3*z - 29996. Let b be u\/(1\/(-1040)*-6). Round b to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513*m - 10255 = 2570 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 13. Let x be c(19). Let k(j) = j**3 - 5*j**2 - 4*j - 5. Calculate k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41446681*v**3 + 50042938*v?\nAnswer: 248680086*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*d**3 - 41*d**3 + d**4 + 0 - 3 - d**2 + 2*d - 1 as s*d**4 + c*d**3 + q + z*d**2 + x*d and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 38*i - 558. Let f be y(20). What is the highest common divisor of f and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) - (sqrt(832) + (sqrt(832)*2 - sqrt(832)) + -2).\nAnswer: -8*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*y - b, 5*b + 0 + 3 = 2*y. Let q be 4*y*(-4)\/(-16). Is 613 - (-1 - -2) - q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*f + 3*f + 35, -k - 5*f + 15 = 0. Let r be (-6)\/k - 4\/(-10). Find the second derivative of 2*s**2 - 1 - 6*s + r + 2*s wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 0*a - a. Suppose 0 = 4*b - 3 - 9. Let f(w) = 0*w - 2*w + 4*w - b*w. What is f(l(s))?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.3 (b) -0.24246 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 4*f - 1. Let c be k(-3). Let p be (-219 - -219)*(-4)\/(-12). Sort p, 5, c, 4 in increasing order.\nAnswer: c, p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17481 - -20377. What are the prime factors of g?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2399 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-1 - (0 - 0)). Suppose c*n + 2*n - 70 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 107*b**2 - 59*b + 641. Is s(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 5*t**8\/56 + 2*t**4\/3 - 3*t. What is the third derivative of x(z) wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*l = 1 + 4, -6*l = -r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 10. Let d be -8*1\/t + 115. Suppose d = 4*g - 29. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 60. Let g = -434 + 457. Let c = u - g. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 253.\nAnswer: -1\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5959546*g*i**2*k**3 + 97*g*i**2*k**2 + 39*g*i**2*k - 31*g*i*k**2 - 4*g*k + 5*i**2*k**3 - k**2 wrt k?\nAnswer: -35757276*g*i**2 + 30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 2) + -8 + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32\/7 of a week?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.1 + -9.1. Which is the biggest value? (a) -1 (b) -5 (c) m (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15995219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + u + 5, 6 = -5*u - 4. Let a be -6*((-45)\/6 + -2). Let r = p + a. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 minus -0.40284?\nAnswer: 37.40284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - 180. Solve d = -y + 1 - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 61. Calculate the highest common divisor of j and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1411 + 3?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*n - n - 15, -15 = 3*t + 4*n. Let y = 1407 + -1505.1. Let x = y - -98. Which is the third smallest value? (a) -4 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*i + 1, -3*d + i - 7 = -2. Let j(t) = 73*t**2 - 1. Let r be j(d). Suppose 2*k + k - r = b, 5*k = -3*b + 106. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/60 and -13\/840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 7*q + 35. Let w = -67 - -44. Let f = -14 - w. What is the remainder when f is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -99.884. Let b = 63.216 - t. Round b to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183*a**3*g**2 + 52*a**3*g - 2*a**2*g wrt g.\nAnswer: -366*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y**4 + 21325*y**3 + 16250*y**2 - 261475*y + 64020 = 0. Calculate y.\nAnswer: -4, 1\/4, 3, 1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10*18\/(-27)*(-13)\/(-156)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 1. Let f be k(-1). Suppose f*w - 5*w = 0, 3*h - 849 = 3*w. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3785*p + 963*p + 976*p + 1846*p - 5*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:56 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 896 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 3, s: 2}. What is prob of picking 1 s and 1 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/13 + 590224*a**2\/13 + 1180454*a\/13 + 590228\/13.\nAnswer: -2*(a - 295114)*(a + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 61\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.6 * 38614.7.\nAnswer: 756848.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 78 = -10*j. Let r(y) be the third derivative of -7\/6*y**3 + 8*y**2 + 0*y - 1\/60*y**5 + 0 + 1\/3*y**4. Calculate r(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*l - 4*h, 0 = 5*l - 5*h + 3*h - 20. Let i be (-45)\/(-50) - l\/10. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let y = 1 + u. Let w = 514 + -2057\/4. What is the third smallest value in 0.5, 0.1, y, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -5*o**3 + 4*o + 2. Let h(f) = -6*f**3 + 5*f + 3. Let m(b) = -2*h(b) + 3*k(b). Find the second derivative of m(l) wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17254?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*s - 934*b + 33*s**2 + 4*s wrt s?\nAnswer: -2*b + 66*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 65*c + 1104. Let t be a(-17). Suppose -5*d - 13 = -3*b, -2*b = 5*d + b + 7. Sort 4, t, -4, d in increasing order.\nAnswer: -4, d, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 + -21)*((-696)\/(-32))\/(-3*5\/80)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -20*m. Let i(s) be the first derivative of -2*s**3\/3 - 63. Give i(n(t)).\nAnswer: -800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 10*g - 23. Calculate the remainder when s(-9) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/24 - 165\/220)\/(10\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 143*m - 235*m - 555*m + (5 + 0 - 2)*(-2*m + 0*m + 3*m) - 4 + 3*m + 2 - 2*m.\nAnswer: -643*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183727 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: Divide 18806788 by 383812.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -121300233?\nAnswer: -121300235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 58799 + 169221 = -128678. What are the prime factors of y?\nAnswer: 2, 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0*t - 2*t**2 + 0 - 5\/24*t**4 + 1\/60*t**5 + 1\/6*t**3. Suppose 2*p = 5*l - 5 + 29, 4*l = -2*p - 12. What is v(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7178009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, x: 3}. What is prob of sequence fxxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2858, 5726, 8594, 11462?\nAnswer: 14330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*y = -6, 22*y = -q + 19*y - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653773083?\nAnswer: 3, 217924361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76932288*d**4 + 3068784*d**3 - 70399509*d**2 - 1404708*d + 16119372 = 0. What is d?\nAnswer: -1159\/1688, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((48\/(-5))\/(-6))\/((-4)\/10). Let f be (-2)\/((16\/322)\/h). Let t = 1447\/9 - f. Which is the closest to -1? (a) t (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3436*b*t**2 - 16*b*t + 5426*t**2 + 6*t wrt b.\nAnswer: -3436*t**2 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34675141 to the nearest integer?\nAnswer: 5889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.91 - 2.91. What is the closest to 1 in 0, 0.5, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -838157\/65 > -12896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 0.5, -1\/2, 16, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34542, -69082, -103622, -138162, -172702?\nAnswer: -207242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*s + 26*s + 621. What is the greatest common divisor of s and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3598 != 3596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v**4\/3 + 73065*v**3 - 6708780*v**2 + 461203165*v\/3 - 38015440 = 0 for v.\nAnswer: -11051, 1\/4, 43, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 9*f - 51. Is 25 a factor of c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - (sqrt(22) - ((sqrt(154) - sqrt(154)*1) + sqrt(154) - sqrt(154))\/sqrt(7))) + -6*sqrt(22)*-1)\/(6*2*sqrt(99) - sqrt(99)).\nAnswer: 2*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-6) + (-3)\/9. Let z be (1\/5)\/((-10)\/(-50)). Suppose 0 = f - 9 - z. Solve -5*y - f = -h*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14250132?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 = -2*k. Does 4 divide (4*(-5)\/k)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 9 + -2 + -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffffffffffsfffsfff?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1539) + (sqrt(76)*-2)\/sqrt(4) - -2*(sqrt(38)\/sqrt(2)*1 - sqrt(19))**2.\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7333853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (13 - 12) + 7 + 2 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/9 - 118*l**2\/3 - 3434*l\/3 + 510050\/9 = 0. Calculate l.\nAnswer: -101, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 8}. What is prob of picking 2 f and 2 c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1235 + -2533\/2. Let g be -84*(31 + -2 + 5). Let p = -34315\/12 - g. Calculate the common denominator of p and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*s + 307*s - 19 + 19 as q*s + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(-1\/10)*(i*i**20\/i*i*i*i)\/i*(i**12*i)**(-26) assuming i is positive.\nAnswer: i**(-3139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1206\/9 + (-1 - (-5 + 0)). Let s = 248 - j. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 105*v - 81. Let z be r(7). Suppose 2*d - z = p + 513, -3*p + 3 = 0. List the prime factors of d.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -175. Let c = 218 + p. Which is smaller: 52 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711744120 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:35 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + h - 71406 = -369444, -15 = -3*h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (570\/(-5)*(10\/(-2))\/25)\/((-23)\/(-115))\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1032*c + 80 = -1036*c + 5*y + 25, -3*c - 135 = -10*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 87*j + 33. Let u(g) = -14*g**3 - 86*g + 18*g**3 - 32 - 2*g**3. Let x(k) = -3*h(k) - 2*u(k). Differentiate x(b) with respect to b.\nAnswer: 6*b**2 - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 353, 3, -3 in descending order.\nAnswer: 353, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1013 - -24313\/24. Let g(z) be the third derivative of 0*z - o*z**4 + 0 + 0*z**3 + 5*z**2. Let h(j) = 10*j**2. Calculate h(g(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/55638768 and -29\/6954846?\nAnswer: 55638768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q - 4. Let x be b(5). Let t = 1 - x. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 5*r**2 - 2707*r + 8118. Give v(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 923891411 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75, -151, -227, -303, -379?\n\"Answer: -76*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(190)\/(sqrt(40)\/sqrt(4)) + 1 + sqrt(76) + sqrt(171)\/(sqrt(1296)*-1)).\nAnswer: 3 + 35*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 6*g**2 + 18*g - 11. Let y be c(-4). List the prime factors of (-60)\/(-6*y\/276 - -3).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44984.98 millilitres to litres.\nAnswer: 44.98498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/1188 and -65\/34889076?\nAnswer: 383779836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 0.2, 2\/19, -104, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003 (base 5) in base 15?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2069047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2804 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14518 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**5 - 28580*j**4 + 70*j**3 - 42995602*j**2 - 12*j.\nAnswer: -660*j**2 - 685920*j + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59692*n + 23734 wrt n?\nAnswer: 59692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11171*g. Let w(s) = s. What is d(w(t))?\nAnswer: 11171*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1624036 smaller than -1624035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + y**2 - y**2 + (0*y - 2*y - y)*(1 + 0 + 0)*(5*y - 2*y - 2*y) in the form g + p*y**2 + t*y and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:31 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -26, -44, -70, -104, -146, -196?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - t + 4*t)*(-17 + 4*t + 17)*(5*t + 2 + 4*t - 6*t) to the form f*t**3 + j*t**2 + n + s*t and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**3 + 2*s**2 - 3*s + 10. Let h(p) = 29*p**3 - 9*p**2 + 14*p - 51. Calculate 19*c(w) + 4*h(w).\nAnswer: 2*w**3 + 2*w**2 - w - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 63\/(-504)*6\/9\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 1202213020223?\nAnswer: -1202213020213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**2 + 5. Let v(c) = 5*c + 0*c - 3*c. Determine x(v(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q - 48. Let j be h(-5). Suppose j*k = 4*k + 39. Solve -k*t + 4*m = -31, -2*t - 5*m = 3*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31391397 and 1056.9016.\nAnswer: 31392453.9016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 80 = 18*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 723 - -898?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/26)\/((-4266)\/792*-11).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28531 + -16465. Suppose -2*q - 1256 + r = 2*p, -2*q - 5390 = -p. Round p to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 14 - (8 + -20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4 - 22\/(-8). Let s be (-9)\/12*-4 - -2. Which is the closest to r? (a) 1 (b) s (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 9*h - 10. Let t(b) = b - 1 + 11 - 6. Let y be t(3). Give g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 + 127. Let h(i) be the first derivative of -i**4\/4 + 2*i**2 - 4*i - 1. Let p(c) = -3*c + 3. Determine b*h(o) - 4*p(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*j**3*l*q - 6498*j**3*q**3 + 2*j**3*q**2 - j**2*l**2*q**3 - 10*j*l*q + l**2 wrt q.\nAnswer: -38988*j**3 - 6*j**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45002?\nAnswer: 2, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/45*-3*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1114*d + 1106*d + 5*l = 44, 3*d - 37 = 6*d - 7*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055661961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 5*p**2 + 10*p - 9. Let v be w(3). Let n(h) = 0*h - 4 + 2*h - 3*h. What is n(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6078 (b) -0.2 (c) -1451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = -3*x + 4*q, 2*x - 5*q = -q + 316. What is the highest common factor of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 and ((-4428)\/288)\/(6*(0 - -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.6 and -0.069083318189.\nAnswer: -3.669083318189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiuu when four letters picked without replacement from iiiuiuu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 5*u - 7476, -4*u = -2*f + 14982. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = -3*j - 9, 5*j - 5*y = 20. Suppose 3*q + 2 - 17 = j. Let d = -24 - -39. Calculate the highest common divisor of d and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/2 - 5*z**4\/6 - 13*z**3\/6 + z**2\/6 + z = 0.\nAnswer: -1, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n + 57*n = -115. Is n > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -732, -1198, -1776, -2502, -3412, -4542, -5928?\nAnswer: -7606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**6\/2 + 3*o**5\/5 + 9*o**4\/4 - o**3 - 3*o**2 - 6. Find g, given that y(g) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7058640 - 3?\nAnswer: -7058643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.64 take away 3.1303918?\nAnswer: -6.7703918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-3 - 2) + 234. Suppose 4*k - 57 = -i. Let d be 24\/16 + k\/44. Which is the nearest to -1? (a) 4 (b) 0.08 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175.083 + 175. Round r to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.04, 4, -2\/3, 18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - 34*c - 31*c.\nAnswer: -75*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -748444, -748404, -748362, -748318, -748272?\n\"Answer: k**2 + 37*k - 748482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, m: 6, q: 2, v: 1}. Give prob of picking 1 y and 1 m.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8012 (b) 1 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -847462.900125461063 + -0.100294538937. Let k = x + 847497. Let p = 34 - k. What is p rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10448, -20900, -31338, -41756, -52148?\n\"Answer: x**3 + x**2 - 10462*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - -0.33. Let n = -25 - -25.27. Let s = t - n. Put s, 0.1, 0 in descending order.\nAnswer: 0.1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -70 + 106. Suppose 6 = -5*b - 4. Put a, 1, b in ascending order.\nAnswer: a, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.1 (b) 0.2 (c) 1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014277998 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 709?\nAnswer: -70.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 496 (base 14) to base 2\nAnswer: 1110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -22*i + 41*i + 1 - 26*i. Let d(v) = -v. Give 5*d(q) - g(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 787320 and 2592?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9101 or -8940?\nAnswer: -8940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141119861 to the power of 1\/3, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*j - 3, 4*j + 2*f = -4 + 2. Let b(x) = j - 5 - x + 2. Let u be b(-6). Let w(n) = n**3 - 4*n**2 + 3*n + 2. Give w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - n + 2. Let l be k(-2). Let a(p) = p**3 - 6*p**2 + 4*p + 3. Let y be a(4). Let b = l - y. Solve -4*r - 6 = s + 2, r = -5*s - b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 1. Let y(q) = -3*q. Let k(i) = 3*f(i) + 7*y(i). Let b(v) = -18*v - 8. What is 3*b(w) - 8*k(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/6 + 245*u**2\/6 + 5*u\/6 - 245\/6.\nAnswer: -5*(u - 49)*(u - 1)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*n - 570 = 0, b - 5*b - 747 = -n. Let z = b - -286. Suppose -38*w + 2301 - 781 = 0. Calculate the greatest common divisor of z and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 13*m**2 + 14*m + 8. What is the tens digit of u(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34594 + 1 - (162\/66 - (-48)\/88)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-6)\/(-16))\/(-3). Let k = 1.1 - 0.9. Let o = -1.0517 - 2.9483. Which is the fourth smallest value? (a) i (b) k (c) 0 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 e when three letters picked without replacement from hheehhh?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -7, -62, -0.48?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 624, 1243, 1860, 2475, 3088?\nAnswer: 3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrwrww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*120\/12.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463746810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:12 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -391\/40 + 75\/8. Let v = 0.0838 - -19.9162. Which is the third smallest value? (a) -4 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -74 - 122. Let r = 244\/5 - b. Let a = -1 - -1. What is the nearest to 1 in r, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2680 - 2672. Solve r - 11 = -3*z, -z + 0*r + s = -4*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x. Let d(t) = -10*t - 11. Let u(s) = -s - 1. Let v(l) = 2*d(l) - 22*u(l). Give a(v(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236927359 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*f - 98 = 1295 + 687 + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -32. Let b be 4\/(-114)*p\/5. Let j = 176\/665 - b. What is the closest to j in -4, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72\/5 of a milligram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 15.\nAnswer: -4, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 10*g**2 - 3*g + 31. Determine q(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 9) to base 4\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1699 divide 168524308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1845\/(-54) - 2\/(-12). Let k be (16\/6)\/(u\/(-51)). Solve -k*f + 3*f = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/7 and -191\/174900.\nAnswer: 1224300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) 3297 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6882000 divided by -9176?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 120 = -58*z - 3705, 0 = -3*p - 3*z - 0*z - 201 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4084680?\nAnswer: -1\/1361560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-165)\/15 + 3 - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.124 and 0.3.\nAnswer: 0.3372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 170*l - 5438. What is p(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -735358 and 10915.7.\nAnswer: -724442.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1126011 or 1126012?\nAnswer: 1126011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 8:58 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 209086291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*z**3 - 6*z**3 - 21*z**3 + z**4 - 6*z - 4*z**4 - 15*z**2 = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 1. Let s be i(1). Let a be 0\/s - 1 - -3. Sort 2\/7, a, 0 in ascending order.\nAnswer: 0, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 135*z + 18. Let c(q) = -48*q - 7. Let v(j) = 8*c(j) + 3*r(j). Let l(i) = 10*i - 1. What is -5*l(s) + 3*v(s)?\nAnswer: 13*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000239 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 247.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/5082 and 149\/594.\nAnswer: 45738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2349 + -2360. Which is smaller: -665 or d?\nAnswer: -665","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = -8. Suppose 0 = 11*h + 15 + 139. Put h, 2, s, 1 in decreasing order.\nAnswer: 2, 1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) + 52\/(-5). Let u(a) = -a**3 + 10*a**2 + 4*a + 11. Let n(w) = w**3 - w. Suppose 20*o - 25*o = 5. Let s(c) = o*u(c) - 2*n(c). What is s(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34000, 33896, 33796, 33700, 33608, 33520, 33436?\n\"Answer: 2*p**2 - 110*p + 34108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -20549551 in decreasing order.\nAnswer: 1, -9, -20549551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 128283*v. Let r(h) = -h**2. Determine r(t(y)).\nAnswer: -16456528089*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1540815321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/22 and 63\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f. Let c(v) = -16*v. What is c(r(l))?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + b**4 + 0*b**3)*(3 - 3 + 2*b) + 4*b**5 - 4*b**5 + b**5.\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -84, -16, 78, 210, 392, 636, 954?\n\"Answer: 2*x**3 + x**2 + 51*x - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4609.814 millilitres to litres.\nAnswer: 4.609814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3570898 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -404369406 rounded to the nearest one hundred thousand?\nAnswer: -404400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 532*j + 2402 - 806 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v - r, 6*v - 3 = 2*v - r. Let 124*t**3 + 540*t**v + 84*t**3 + 405*t + 5*t**5 + 60*t**4 + 62*t**3 = 0. Calculate t.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4524330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/2 - 8*i**4 - 11*i**3\/2 + 79*i**2 + 140*i + 64 = 0. What is i?\nAnswer: -2, -1, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -28*v + 1177. Let s be y(42). Which is smaller: s or 3\/175?\nAnswer: 3\/175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695500 to the power of 1\/2, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 7:17 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + q**2 - 2*q + 7. Determine o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/4 (b) -0.036 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -8*x + 423. Let s = x - 47. Let r(g) = s + g + 5 + 2 - 1. Let a(z) = -z - 5. Determine -4*a(q) - 3*r(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -10. Suppose 3*y - 21 = -k*y. What is the greatest common factor of 63 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43168045?\nAnswer: 5, 2383, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = 5*x. Let f = x + 4. Suppose f = -2*k + 6*k - 184. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3*33\/22. Solve s*t + 15 = 7*t, 0 = -v - t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-225))\/((-61)\/(-3050)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144805, 289523, 434239, 578953, 723665?\n\"Answer: -w**2 + 144721*w + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29088 and 916272?\nAnswer: 1832544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 2. Let s be 5\/c + (-3)\/(-3). Is s\/9 + 73\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(2 - 2 - 2*x) - 3 + 3 - x + 3*x - 5*x + 5*x in the form d + s*x and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 24009 = 3*o, 7*o - 12*o = 2*x - 40043. What is the thousands digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1, 3\/4, -29, 3, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 7*m**2 - 75*m**2 - 12 in the form r*m + k + n*m**2 and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114704890 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 14*u - 19*u. Let h be ((-497)\/14)\/(2\/u). Let v = -59 - h. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 189\/(-15) - 91\/65. Let k be 157\/44 - (v - 912\/(-66)). Factor 3\/4*l**4 + 3\/2 - k*l**3 + 27\/4*l**2 - 21\/4*l.\nAnswer: 3*(l - 2)*(l - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3024?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -22. Let v = r - 9.00000224. What is v rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 1 + sqrt(288) - sqrt(216)\/sqrt(12))**2 + ((-2*sqrt(8))**2 - (sqrt(2) - (1*sqrt(2)*-1)**2)) + 5.\nAnswer: 41*sqrt(2) + 922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -559, -1130, -1727, -2356, -3023, -3734, -4495, -5312?\nAnswer: -6191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*d*d\/d**(-4\/9)*(d**6)**(-17) assuming d is positive.\nAnswer: d**(-851\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5*22*(-75)\/(-1485)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/34 + -109\/238. Let t = 3 + -4. Put t, 0.4, b in descending order.\nAnswer: 0.4, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4 - 13012*k**3 - 90932*k**2 - 142844*k - 64920 = 0. Calculate k.\nAnswer: -3246, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 479366 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17089818 * 0.05.\nAnswer: 854490.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*t**4 + 2438*t**6 + 8*t**2 + 13*t**2 - 2434*t**6 - 1 wrt t?\nAnswer: 480*t**3 + 960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 724 = 2*u, 4*x - 718 = -u + 2*u. Suppose 4*q - x = -36. Let n be ((-1)\/(-3))\/(8\/q). What is the biggest value in n, -2\/15, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2337.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1768935 + 14131781\/8. Suppose 2*b + 5749 = -u + 828, 2*u - 4906 = 2*b. Let y = b - l. Calculate the common denominator of y and -71\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 7*t - 6*t + 4*p, -51*p + 12 = t - 93 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/115 and 3\/2634605.\nAnswer: 60595915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -198994 at least -198985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1541 + -1679. Is -277\/2 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 424 and 192064.\nAnswer: 10179392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1096 - 7705\/7. Calculate the common denominator of c and (36\/(-33) + 1)\/1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -3*d**5\/20 + 117*d**2 + 2. Let b(g) = -2 - 3*g + 2. Calculate b(l(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*g = 4, -3*g + 6 = 4*d - g. Let h(m) = m - 1. Let v be h(1). Let x be (-3)\/(-3) + 1 + v. Solve -x*w + 4 = -2*j - j, 4*j + 4 = d*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(2\/7))**3\/(y**(-1\/5)\/(y\/(y*(y\/(y\/y**(-2\/11)*y))\/y)*y*y)))\/((y**1*y**0)\/(y\/(y\/(y**(-2\/3)\/y))*y*y\/(y**(2\/5)\/y))) assuming y is positive.\nAnswer: y**(12904\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftpjtjjtltttjfp. Give prob of sequence fp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/5)\/((-86)\/215). Solve 406 = 50*m + q*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8942784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 482*n**2 + 487*n - 2896. Give i(481).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -109150883 rounded to the nearest ten thousand?\nAnswer: -109150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(252)\/sqrt(4).\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 1:40 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14\/15 + -97\/120. Factor 1\/8 - 1\/8*t**3 + h*t - 1\/8*t**2.\nAnswer: -(t - 1)*(t + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277559204.63 + -0.3.\nAnswer: -277559204.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5237?\nAnswer: 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 806588792 to the power of 1\/2, to the nearest integer?\nAnswer: 28401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49997 and 850?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -129, -189, -275, -393, -549, -749?\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6305)\/(-3395)*7\/28*-4.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 101 = 6*p - 3*i, 0 = p - 5*i - 38. Let z = -27 + p. Let h = z + 10. Solve -5*q - 31 = -h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 14) to base 2.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 887165.8 millilitres?\nAnswer: 887.1658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 133\/2. Which is the third smallest value? (a) -15 (b) -1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = 14*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 1. Suppose -7*j + 12 = 19. Let y(t) = -3*t**2 + t - 4. What is j*y(u) + 2*c(u)?\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - k = -85, -5*s + 10*s - 137 = -4*k. Suppose -2*i + 5*y - 60 = -7*i, 39 = 2*i - y. Let r = s - i. What is the remainder when 21 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 5. Let l be o(-6). Suppose 0 = -l*v + 158 - 59. What is the remainder when 17 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - w)*(-41*w**2 + 37*w**2 + 32*w**2).\nAnswer: 56*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(91) - 2*sqrt(91)) + sqrt(91)) + (sqrt(91) - 5*sqrt(91)*-4))\/(((sqrt(245)\/sqrt(5))\/sqrt(7) - sqrt(7)) + (sqrt(343)*1 - sqrt(7))).\nAnswer: 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -0.82?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(20\/16))\/((-1)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -12*z - 2\/5*z**5 + 1\/15*z**6 + 0 + 0*z**2 + 5\/6*z**4 - 2\/3*z**3. Let d(y) = 0. What is y?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 16. Let j be k(0). Let v(r) = -16*r - r**3 + j + 2*r**3 + 3*r + 13*r**2. Let a be v(-14). Solve 0 = -5*g + 5*s - 10, g - a*g - 4*s = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/(6\/(36\/12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, -2, -76, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3 = -5*v. What is the second derivative of -2*w**v - 3*w + 0*w + 4*w**3 - 4*w**3 wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1975*s - 1145*s + 2476*s + 80*s.\nAnswer: 3386*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, y: 12}. What is prob of picking 2 y and 1 w?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = u + 3*u - 120, 3*u = 15. Solve y = 4*k - 4*g, 4*k + k = -5*g - 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (3 + -5)) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -71 - -30408.3176\nAnswer: 30337.3176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 7 + 6*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -12, -45, -112, -225, -396?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*u = 1, -r - 3*r - 2*u + 20 = 0. Put -4, -5, r in decreasing order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/((-1)\/8*2). Suppose -4*u + 0*u = -p. Let x = u - 12. Calculate the remainder when 1 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 430.74.\nAnswer: -431.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 6*j**2 + 2*j - 6. Let l be h(6). Let z be 20\/l - (-4)\/6. Suppose z*q + q = 20. Solve -4*o + q*y + 22 = -2, 0 = -5*o - 2*y + 23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*f + 26. Suppose -10640 = -4*c - 2*i + 7276, -2*i = f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 257\/609 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 25 = -5*s - 2, -8 = b + s. Let v be (-3*4)\/(((-9)\/(-6))\/1). Let g = v - b. What is the closest to 1 in -1\/3, -4, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1175 and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140134*m**2*p*v**2 + 577*m**2*v**2 - 2*m*v**2 - 5*m*v with respect to p.\nAnswer: -140134*m**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(65)*-1*-1)\/((-2*sqrt(320) + sqrt(320))*6))**2.\nAnswer: 325\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 322, 7, 0 in increasing order.\nAnswer: -12, 0, 7, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*v - 12, -3*s = 2*v + s + 16. Let y be 2\/(-4)*5\/15. What is the third biggest value in v, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(31*a**4 + 9*a**4 + 12*a**4) + (3*a**2 - 2*a**2 + a**2)*(2*a**2 + a**2 - 5*a**2) + 0*a**4 - 3*a**4 + a**4 + 0*a**4 + 4*a**4 - 5*a**4.\nAnswer: 201*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101385 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1326652200 to the nearest 1000000.\nAnswer: 1327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) - (0 + sqrt(19) + sqrt(19) + -5)**2 - (1 + sqrt(1900))).\nAnswer: -66*sqrt(19) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8972, 17947, 26918, 35885, 44848, 53807?\nAnswer: 62762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m = 53*m - 25*m + 70 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 5:18 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 12.4.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**3 + y**3 + 6*y**3 - 3*y**3 - 8*y + 8*y + (0 + 3 - 4)*(y**3 - y**3 + y**3))*(0 - 6 - 10*y + 4).\nAnswer: -100*y**4 - 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 4*x**3 - 4*x**3 + 4*x**3 + 0*x**3 - 2*x**3 + (1 - 1 + x)*(-3 - x**2 + 3) + 6*x**3 - x**3 + 0*x**3 + (-x**2 - 2*x**2 + 4*x**2)*(0*x - 4*x + 2*x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*v + 21 = -20, -2*q + 31 = -v. Let t(u) = u**2 + 4*u + 8. Let a be t(-2). Solve -5*d - 2*s - q = 0, -d = -2*s + a - 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + 0.3. Suppose 19*d = 12*d + 42. Let k(t) = 3*t - 18. Let n be k(d). Put n, z, -1\/4 in decreasing order.\nAnswer: z, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19295?\nAnswer: 5, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -12, -4*l - 4*a + 444 + 1452 = 0. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 93 + 94 = 0, 79 = 3*i - 5*t. Let f(b) = -b**2 + 29*b - 27. Calculate f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmedmmdjmgmse. Give prob of picking 1 d and 1 s.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 18521.\nAnswer: -3\/18521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -25721*p**2 + 25715*p**2 - 2*p + 2*p. Let o(j) = -2*j**2 - 7. Calculate d(o(f)).\nAnswer: -24*f**4 - 168*f**2 - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 5, -1177, -2, -5, 34 in increasing order.\nAnswer: -1177, -8, -5, -2, 0, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((150\/(-20) - 6) + 14)*(-14)\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926302.1 nanometers in micrometers?\nAnswer: 926.3021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 - 511*c**3 + 458*c**3 + 2*c**4 + (2*c + 3*c - 4*c)*(4*c**3 - c**3 - c**3).\nAnswer: c**4 - 53*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**5\/60 - 68*j**2 - 6*j - 1. Let b(m) = 6212*m. Calculate b(w(d)).\nAnswer: 6212*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40660, 169283, 383658, 683785, 1069664?\n\"Answer: 42876*p**2 - 5*p - 2211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 981208 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 248100 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36145.519 rounded to the nearest 10?\nAnswer: 36150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 20 = 8. Is ((-2)\/(-10))\/(c\/(-81655)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m + 102. Does 12 divide q(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 1. Let h(y) = -11*y - 4. Let o(l) = -2*h(l) + 10*j(l). Give o(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*z + 298*z - 654*z)*(-72*z - 1343 + 1343).\nAnswer: 12816*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16272153 and 14464136?\nAnswer: 130177224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 3 (c) -0.12 (d) 18\/89 (e) 4 (f) 5\/11 (g) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*x - 31 = 0, -p + 2*x - x + 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**5\/20 - 7*c**4\/12 + 4*c**3\/3 + 7*c**2\/2 + c. What is the remainder when (0 - 1)\/(1\/(-12)) is divided by n(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 5*w + 30. Suppose 3*f - 28 = 3*c - c, 3*f - 3*c - w = 0. Put -3\/4, -1\/2, f in decreasing order.\nAnswer: f, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137881*n**4*z**3 + 3*n**4 - n**2*z**3 - 2258*n**2*z + 7*z wrt n?\nAnswer: 3309144*n*z**3 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o + 1. Suppose r + 3*k + 37 = 6*r, 0 = -o*r - 5*k. Suppose 24 = -r*i + 219. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -123, -180, -237, -294, -351?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407035.\nAnswer: 5, 7, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 8*w**2 + 9*w + 5. Calculate the lowest common multiple of k(9) and 59.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0)\/((-2)\/4). Suppose -4*c = -16, -4*p - 4*c + 24 = -8. Suppose p*j + s*f = -0*f, j = 4*f - 5. Which is smaller: -4\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-19 + 8 - 14)*(2 - 2 - 1)*(3*u**2 + 2*u**3 - 3*u**2)*(-3 + 1 - 4)*(4 + 1 - 4)*(-2 - 5 + 3).\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -28. Let i be 8\/6 - (-1750)\/f. Suppose -3*m - i = -u - 0*m, 2*m - 641 = -5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q**2 - 4*q - 27*q**2 - 3*q - 22*q**2 + 80*q**2 - 15.\nAnswer: -q**2 - 7*q - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*c + 39333 = -122*c. List the prime factors of c.\nAnswer: 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:24 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425075068?\nAnswer: 2, 11, 19, 67, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = c + 7, -2*t = -4*c - 0 - 18. What is the remainder when ((-1)\/c)\/((-2)\/(-832)*4) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11110 + -21?\nAnswer: -11131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a31 (base 11) in base 2?\nAnswer: 10011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 9 = 44. What is the smallest common multiple of y and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + 6*c**3 - c**3)*(-186 + 369 + 138 + 472).\nAnswer: 1586*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168\/32 + (-1)\/4 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2327299, -2327288, -2327277, -2327266, -2327255?\n\"Answer: 11*u - 2327310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, h: 1, m: 1, n: 1, r: 3}. Give prob of picking 3 m and 1 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73720, -147438, -221156, -294874?\nAnswer: -368592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 + 19*q + 3. Let f(j) = 5*j**2 - 37*j - 5. Let b(a) = -3*f(a) - 5*x(a). Find the second derivative of b(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -334 - -333.8. What is the nearest to 4 in -1, 1, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1533925, 1533765, 1533605?\n\"Answer: -160*t + 1534085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-4 - -1)) + -4 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 5 + 19*g + 9 to a*g + n and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 - 2.38. Round u to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -2*m**2 - 80*m + 1\/12*m**4 + 0 + 0*m**3. Let q(a) = 235*a**2. Give h(q(p)).\nAnswer: 470*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.3 (b) -105 (c) -1.47 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*q, 4*h = -5*q + h. Solve q*r = -5*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92041733.\nAnswer: 7, 13148819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*j**2*z - 3*c*j**2 - 2*c*j*z**2 - 2*c*j*z - c*j + j**2*z**2 + 3*j*z**2 wrt j.\nAnswer: 2*c*z - 6*c + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 618, 1230, 1838, 2442, 3042?\n\"Answer: -2*i**2 + 618*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9729, 9721, 9699, 9657, 9589, 9489, 9351?\nAnswer: 9169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 11. Solve 3*o + y = -2*t, 2*o = -2*t - 3*o - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/30)\/(5*(-4)\/12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -63*u + 456. Let i be h(6). Let q(x) = -403*x. Let b(l) = 26*l. Calculate i*b(c) + 5*q(c).\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -6*g - h + 3*h + 2*h + 22, 19*g = -h + 36 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5 + 7*g + 1 - 3. Let c = 1190 - 1183. What are the prime factors of v(c)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9192 + 9192.4. Which is the nearest to 0.2? (a) -12 (b) -2\/9 (c) 13 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3 + 34*s**2 + 182*s + 294 = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13416473 + 7296373. What is w rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**2*w - 3*n**2 - 200*n*w**3 - 6*n wrt w?\nAnswer: n**2 - 600*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42045 + -41944.6016. Let v = z - 98.4. Let m = -2 + v. What is m rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 21126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3615636 is divided by 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -45*14\/21*(-936)\/(-1040)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 15*l + 1. What is n(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1124.03 - 1119. Let n = q + -0.03. Let i be ((-12)\/18)\/(2\/3). What is the closest to i in n, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 172*-2 + 1 + -2. Let y = n + 221. Let a = 870\/7 + y. What is the smallest value in -1\/2, a, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Suppose 3*f - 3*t - 24377 = -f, t = 3*f - 18284. Let w(c) = -f*c + 6095*c - 4*c**2. What is d(w(s))?\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-69))\/(1\/3)*(-65)\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-281)\/(-562))\/((-71)\/2).\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p**2 - 3771 + 5*p**2 + 3770 as l*p + s*p**2 + g and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 142 and 144 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -395c1b (base 14) to base 3.\nAnswer: -10201100121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262*d**5 + 1236*d**4 + 1812*d**2 - 20*d wrt d.\nAnswer: 15720*d**2 + 29664*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 2:53 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 10. Suppose -3*j = -5 - 1. Suppose d + 4 = j*d + v, -4*d - v + 4 = 0. Is t(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977615, -977643, -977697, -977783, -977907?\nAnswer: -978075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 43, 55?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 11) to base 6.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:41 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8420 - 970. Let z be 1\/8 - 2251722\/(-240). Let g = z + b. Calculate the common denominator of g and -7\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, h: 2, d: 2, a: 6}. What is prob of picking 1 r, 1 d, and 2 a?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 8:06 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 + c**3 - 61*c + 126*c - 61*c + 1. Let j = -1 + 4. Give s(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 5*n + 1. Let i(a) = -a**3 - 44*a**2 - 40*a + 131. Let p be i(-43). Let o = -1 + 2. Let y(s) = s. What is o*g(k) + p*y(k)?\nAnswer: -2*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -30. Suppose 3*l + f*y - 11 = 4*l, 2*l - 6 = -4*y. Sort 8, l, -3, 1.\nAnswer: -3, l, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 8*t**2 - 5*t + 21. Let n be k(-8). Suppose 5*l - n = -4*c, 16 + 4 = 5*c. List the prime factors of l\/(-21) - 4520\/(-28).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -1 + 2*v**2 + 0*v**2 - 3*v**2. Let u(n) be the third derivative of -n**5\/30 - 8*n**2. Determine u(w(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4319718 divided by 2159859.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 32. Suppose -m - n + 9 = 2, m + 3*n = z. Let j be (m + -2 + 0)\/2. Solve j = x - 5, -15 = -0*c + 5*c + x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d. Let f(o) = 7*o + 27483. Determine f(l(x)).\nAnswer: 28*x + 27483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69\/14 - 75\/14. Which is the closest to 3? (a) -5 (b) l (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-66)*147\/(-49)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620\/(-129690)*1*-11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1086 and 4225932?\nAnswer: 764893692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39586 + -120301855\/3039. Let a = b - -112453\/30390. Find the common denominator of 3 - 2 - 255\/6 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352\/(-40) - (0\/1 + -7)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {e: 2, j: 2, i: 1, s: 1, m: 1, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -5*t - 430. Suppose -t = 4*m - 5*m, -m + 15 = 4*i. Let d(y) = y**2 - 3*y - 3. Let p(f) = -f**2 - f - 1. Let s = 3 - 4. What is i*p(u) + s*d(u)?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.786659ml to litres.\nAnswer: 0.000786659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 133.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1680*-42\nAnswer: -70560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2715 is divided by 264?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3479016, 4, -16?\nAnswer: 3479016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/30 - 2\/5. Which is the smallest value? (a) -4 (b) 0 (c) -0.2 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*r + 4*r - 15, 15 = -4*r - 3*s. Suppose -19*x - 8*x + 12420 = r. What are the prime factors of x?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2052 and 341468?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/((-7)\/3). Let m be ((-13)\/(-221))\/(1\/(-4741)). Let v = m + 279. What is the third smallest value in j, 0.05, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 5:35 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/(54\/(-9) + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 m, and 1 q when four letters picked without replacement from wfwmwzwmwmq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + u + 2*u)*(-u + u + 2*u + (-1 + 2 + 4)*(4*u + 2*u - 4*u) + u + 0*u + 0*u) in the form l + b*u + m*u**2 and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1240271 = -31*d + 36*d, -1240251 = -5*d + l. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-1)\/w)\/w*w*w)**(-12\/11) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 13 - (-10 + -12 + 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 10*n**2 + n - 10. Give y(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1705 and 220?\nAnswer: 6820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -9.959. Round g to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -3*p. Let g(c) = 1120 - p*c**2 - 1120. Let k(x) = -2*x**2 + 3. Give g(k(a)).\nAnswer: -8*a**4 + 24*a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 108 + 36 = 0. Put -3, -2, l, 1 in decreasing order.\nAnswer: 1, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 508\/(-6350) + 64\/(-450). What is the nearest to 1 in -0.3, m, -4\/5, 104?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -6. Calculate the lowest common multiple of 9 and (-12)\/(p + (-30)\/(-4))*-12.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g**(-34)\/g)\/g)\/((g*g**(-5\/9)*g*g)\/g) assuming g is positive.\nAnswer: g**(-319\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a centimeter in millimeters?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z - 1. Let j be s(-1). Find the common denominator of j\/(-18)*24\/(-112) and 113\/(-3)*(-4)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*q**4 + 35624*q**3 + 25652*q**2 - 244416*q = 0. What is q?\nAnswer: -3, 0, 16\/7, 1273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + (7 + -7 - (1 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1610\/33 in -2\/29, -5, 5, -5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63, -459, -1527, -3603, -7023, -12123?\n\"Answer: -56*a**3 - 4*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780620676 a multiple of 1084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 34 + -15 + (5 - (-7 - -18))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/12 - 11*u**3\/6 + 3*u**2 + 28*u. Let q be y(10). Let z(a) = a**3 + 5*a**2 + 2*a + 3. Is 11 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 16. Let i(t) = 1 - t**3 + 5*t**2 + 5*t - n - 13*t + 2*t**3. Let s be i(-6). Solve 8*z = s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.266 - -0.274112. What is j rounded to 4 decimal places?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i + 71 = 167 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*w + 0*w**4 + 0 + 4\/5*w**2 + 6\/5*w**3 - 2\/5*w**5 = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2230176?\nAnswer: 2, 3, 13, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -418*l**6*n**3 + l**2*n + l*n**3 - 6 wrt l.\nAnswer: -50160*l**3*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 64*v - 5. Let u be -1*5\/((-15)\/27). Is h(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4540415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -21. Let m(u) be the second derivative of u**5\/20 + u**4\/2 + 7*u**3\/6 + 5*u**2\/2 + 33*u. Give m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 2970 = 34*o. Are o and 65 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoboowoaowowbwowboee. What is prob of sequence bez?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104668 and 10314?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 7 (b) -0.08 (c) 0.14 (d) 114\/7 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -0.2825902?\nAnswer: 0.5825902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1505*78.5167\nAnswer: -118167.6335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14532*p + 26261*p - 13657*p to h*p + r and give h.\nAnswer: -1928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2. Let s(y) = 3*y**2 + 46*y + 157. What is s(c(g))?\nAnswer: 12*g**4 + 92*g**2 + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*s**5 - 56*s**2 + 115*s**2 - 67*s**2 wrt s?\nAnswer: -1800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14*(-84)\/120?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001.79 at least -2.261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 15 + 47 = 0. Let c(z) = -z + 11. What is the remainder when 10 is divided by c(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-536)\/(-4920) + 4\/(-30). Let d = 7 - 6. Is l bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 6 + 1 + 50*a)*(-4*a + 6*a + a).\nAnswer: 150*a**2 + 42*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 2. Let z be c(-3). Suppose -495 = z*m - 9*m - 5*f, 0 = 4*m + f - 402. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 4641921.\nAnswer: 4641921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -2, 4, 8 in increasing order.\nAnswer: -2, 4, 8, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 11) to base 6.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -9*z - 73440. Suppose -z = 10*d - 12*d + u, -2*d - 5*u = -14676. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 6*z + 3. Let x be o(-6). Let w(s) = -155*s + 2 - 6 + 159*s. Is w(x) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1083.5081 from -109889.\nAnswer: -110972.5081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.72 - -3. Let a = -0.2800088 + w. What is a rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1327 - 1.2314. Let i = -1.1 - w. What is i rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + g**2 + 1)*(0*g + g**2 + 0*g) - 14*g**4 + 5*g - 2*g**4 + 2*g**4 in the form y*g**4 + l*g**3 + o + h*g**2 + m*g and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/(-36) + 3)\/(78\/117).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028042 (base 9) in base 5?\nAnswer: -120103213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13187086, -26374172, -39561258, -52748344, -65935430, -79122516?\nAnswer: -92309602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 579.1 + -550. Let r = n - 32.2. Which is bigger: r or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t + 0 + 0. Let u(p) be the first derivative of -4*p**3\/3 - 447. Give x(u(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41.91 - 42. What is the biggest value in -0.2, -4\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, -77\/4, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*q - 180 = -86*q. Let k be (8*q\/(-288))\/(2\/16). Solve k*c + 8 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10902 - 4635. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6) + -1)*-2. Let m(i) = 4*i + 3 + 0*i + k*i - 5. Suppose -5*g - 14 = -4*f, -4*g + 2*f - 5 - 5 = 0. What is m(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*j + 317*j + 88 + 318*j + 315*j - 1253*j.\nAnswer: -j + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**2*x**3 - c**2*x**2*y**2 - 21*c**2*y - 573*m*x**3*y**2 - 2*m*y**2 - 2*x**2*y**2 + x**2 wrt x?\nAnswer: -54*c**2 - 3438*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*p**2 - 55*p**2 - 14*p**2 + 84*p**2 + 2003*p + 3*p**4 + 2 as v + i*p**4 + r*p**3 + q*p**2 + s*p and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4631223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 6, r: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-6 - 1 - -6) - -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34.61 and 0.3.\nAnswer: -10.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*b = 37, g + 39*b - 61 = 42*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25429 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.031 - 3.031. What is the closest to y in 0.3, 5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 12, -3*f - 76 = 3*i - 115 + 66 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 17. Let j be i(8). Suppose -3*c = 3*v - 3, 4*c + 0 = 3*v + j. What is the remainder when (-11)\/4*1*-4 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 1564.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45639 is divided by 6342.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30590940 divided by 5.\nAnswer: 6118188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*v + 374*v + 24606 = -76*v - 687*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(20)\/sqrt(4)*3 - 3*-1*sqrt(5))**2 - (0 + sqrt(15)\/(-5*(sqrt(3) + sqrt(48) + sqrt(3) + sqrt(3) + sqrt(3))))).\nAnswer: sqrt(5)\/40 + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 128*b**2 - 9*b + 2*b + 0*b - 5. Let v be t(9). What is v rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -3456?\nAnswer: -3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h + 3*h**4 + 4*h - 8*h wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 3*t**2 + 11\/60*t**5 + 0*t + 17\/6*t**3 + 0 + 0*t**4. Differentiate v(j) with respect to j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -3*w**4\/4 - w**3 + w**2 - 7*w - 1580. Suppose 8 = 3*k - 5*k. Let a(o) = -2*o**3 - 2*o**2 + o - 4. Give k*l(r) + 7*a(r).\nAnswer: -2*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, 0, 0.131, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + -162055?\nAnswer: -162006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030 is divided by 2022.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, r: 2, e: 2}. What is prob of sequence uee?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.91 and 0.1.\nAnswer: -0.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*s - 54 + 143, -2*s = -3*w - 41. Suppose 310 = s*x - 26. What is the smallest common multiple of 178 and x?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57.64 - 120.47. Let h = f + 64. What is h rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29583 divided by 1252?\nAnswer: 29583\/1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61617 - 246628 + 61778 + 61615 + 0*m - m + 61618.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2326, -2341, -2356, -2371?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1342957269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + 3. Let u be z(0). Let a(p) = -3*p - 6. Let g be a(-6). Suppose -4*k = 3*v + g, -4*k + v + u + 1 = 0. Solve k*c - c + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*a + 5*l, -4*l - 14 = -a - 4*a. Suppose -5*t + 0*t = 4*v - 27, -5*t + a*v = -9. Let b(i) = i**3 - 5*i**2 + 4*i + 1. What is b(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 9*h - 34 = -6*d, -12 = 3*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4597026 divided by -3.\nAnswer: -1532342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 - 4*k**2 - 3*k - 2. Let i(b) = -b**2 + 4*b - 6. Let a be i(2). What is o(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 17*f - 2. Let l(g) = -50*g + 4. Give 17*h(k) + 6*l(k).\nAnswer: -11*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3178505 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 97*l*r - 274*l - 8*r + 5924 wrt l?\nAnswer: 97*r - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -611*a**4\/4 - 590*a - 370. Find the first derivative of j(z) wrt z.\nAnswer: -1833*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 933007\nAnswer: -14\/933007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-16) - (-178850)\/112 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus 2.103859866?\nAnswer: -14.103859866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 7*v = 168. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -17*x - 6. Calculate the remainder when 167\/4 - 10\/(-40) is divided by o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 19 + 5 - 6.\nAnswer: 6*s + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**3 - 88*o**2 - 5*o + 175914 wrt o.\nAnswer: -12*o**2 - 176*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 13, o: 5}. What is prob of sequence xo?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1005*b**4 - 38982*b**3*y**2 + 2*b**3*y + 2*b**2 + 43*b*y**2 + 3*b*y - 2*y**2 + 28473*y wrt b?\nAnswer: 24120*b - 233892*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbq when three letters picked without replacement from vgmqbbvvgqvgqgnvmgvg.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 76 = 10*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6605)\/(-25) + 2\/(-10). Let d = g + -80. Suppose y - d - 661 = -3*q, 5*y = 5*q + 4185. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, -5, -1, 468, 11, -2 in descending order.\nAnswer: 468, 11, 2, -1, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -50 + (2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 1. Let a be z(-9). Let f be -3 - (0 - (-17 - 4)). What is the least common multiple of a\/f + 20\/6 and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 186*i**4 + 5*i**3 + 10*i**2 + 10*i - 89. Let m(n) = -n**4 + n**3 + 2*n**2 + 2*n. Let c(h) = -5*m(h) + t(h). What is the derivative of c(d) wrt d?\nAnswer: 764*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - y. Let l(o) be the second derivative of -o**4\/12 - 5*o. Let n(t) = -2*l(t) - x(t). Find the second derivative of n(b) wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 0*f - 7*f**2 + 0 + 0*f**4 + 3\/2*f**3 - 7\/60*f**5. What is the first derivative of k(i) wrt i?\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -340*k**2 + 3*k + 4192.\nAnswer: -680*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6*(-228)\/(-152))\/13\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/79 (b) 6 (c) -0.65 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 10303 at least as big as 10301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*l = 3*c - 158*l - 84, -8*c + 147 = 7*l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -58.98. Let y = 254 + -249. What is the second biggest value in 2\/3, a, 2\/13, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -38*s**3 + 66*s**2 - 24*s + 2. Let o(b) = 113*b**3 - 197*b**2 + 72*b - 5. Suppose 17 = 3*j - 4*j. Let m(g) = j*z(g) - 6*o(g). Factor m(y).\nAnswer: -4*(y - 1)**2*(8*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 2\/5, 3\/8, -235\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9856 divided by 16\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1866, -43, 5, -6 in increasing order.\nAnswer: -1866, -43, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x = 24*x + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 15 = 6*x. Differentiate 227*c**x - c**4 - 227*c**3 + 22*c**4 + 13 wrt c.\nAnswer: 84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - -3 - 75 - (-20 - -55).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 19*y**4\/2 + 19*y**3\/3 - 3*y**2\/2 - 8*y - 116. Let m be i(3). Calculate the greatest common factor of m and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*m - 88*m - 7248 = 0. Let a = 737 - m. What is the highest common factor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**3 - 5*c. Let f(n) = -5*n**3 - 6*n. Suppose 6*l - 5 = 7*l. Give l*f(z) + 6*p(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -97*b**6\/12 - 25*b**5 - 810*b**2. Find the third derivative of h(z) wrt z.\nAnswer: -5820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -61245 - 324?\nAnswer: -61570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114906 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739348 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.13 - -97.13. Let n = w + -77. Let s = -7.5 - -7.8. Put n, -0.5, s in decreasing order.\nAnswer: n, s, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100016, -200036, -300056?\nAnswer: -400076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 12*c - 23. Let v be r(-10). Is (0 + -16)\/(v - -1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f - 6. Let u(k) = 2*k + 1. Let c(z) = -11*u(z) - 2*v(z). What is c(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 160?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 188, 151, 78?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 220. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2 - (-383)\/183). Let g = s + 5032\/6405. Let w = -4\/7 + g. Is w less than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 13*g**4\/6 + 2*g + 19. Let h(d) be the second derivative of 6*d + 0 + 0*d**2 - 1\/3*d**3. Determine z(h(k)).\nAnswer: 104*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 11:58 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -509 - -2399. What is the common denominator of 4\/(-26) - u\/52 and -38\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**3 - 110*q**2 + 54*q + 6. What is the lowest common multiple of 1665 and c(27)?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87.32 - 87.320070393. Round r to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 53*k**2 - 568*k - 67. Give o(38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + 3 + y + y**2 - 3*y**2. Let g be z(0). Let c(i) = -2*i**2 + 39*i - 149. Let f be c(14). Solve -f*w = 0, 0 = k + w - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 100, 144, 188, 232?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.72 - -3.28. Suppose 4*z - 3*x = -0*x + 15, 0 = -2*z + 5*x + 25. What is the smallest value in 5, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*d + 15 = -2*c, -15 = 5*d. Suppose -f + 81 + 30 = c. What are the prime factors of f?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 13*m**4\/24 + m**3\/3 - 352*m**2. Let o(t) = 5*t. Give a(o(s)).\nAnswer: 65*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/389 (b) -4 (c) -1\/6 (d) -3 (e) 3 (f) -159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from cbbcccgpbccc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*q - 65*q + 102*q)*((-18 + 8 - 3)*(2*q - 3*q + 0*q) - q + 4*q + 0*q) + 2*q**2 - 3*q**2 + 3*q**2.\nAnswer: -830*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45408 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2826 = 12974. Let c = m + -2248. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = -495. Suppose b = -5 + g. Does 2 divide 4\/(-18) - b\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 10\/4)*-94. Let x = 17 - -33. Let j = m + x. Solve -2*s + 0*s = -j*i + 17, -19 = -s - 4*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:35 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**2\/2 + 5*a - 1. Suppose -65*b + 46 + 19 = -0*b. What is the lowest common multiple of b and k(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) 0.4 (b) -2\/3 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 60 + 32. Is -29 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 - 10*i - 3. Let q(d) = 3*d**3 + 5*d**2 + 19*d + 5. Let w(a) = 5*n(a) + 3*q(a). Find the second derivative of w(y) wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 3*a = -25*x + 15, 3*x = -4*a - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 16*s - 9*s + 0*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 284.8704l?\nAnswer: 284870.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/2)\/((330\/(-20))\/33). Solve -x = f*b - 1, -30 + 24 = -x + b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 5 = 9*h. Let y(k) = k**2 + 50. Let d be y(0). Suppose -5*r + 3*j = 6*j - d, 60 = 5*r + j. What is the remainder when r is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1053) + sqrt(1053)*2 + -1 + -1 + (sqrt(1053) - 1*sqrt(1053) - sqrt(1053)))*-3)**2*-1.\nAnswer: -37944 + 648*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106720 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2753*d + 3057*d - 297*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:33 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - (-141 + 73)) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*l = 1130 + 4758. Calculate the greatest common factor of l and 18630.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234672 divided by -18?\nAnswer: -39112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 1582?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7851 - 4538. What are the prime factors of y?\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 + 1. Suppose 0 = -4*k + 3*h + 8, -2*h - 2 = -4*k + 6. Let s(z) = -z**3 - 3*z**2 + 2*z + 2. Determine k*c(a) - s(a).\nAnswer: -a**3 + 5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -30*v - 1\/2*v**2 + 0 + 1\/6*v**3. Let l be 1 + (-2 - (2 + -1)). Calculate x(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/((sqrt(5) + (sqrt(5) - sqrt(20)\/sqrt(4)))*4 + sqrt(5)) + 4)**2 + ((sqrt(8)*5)**2 - sqrt(2) - (sqrt(288)*1 - sqrt(288))**2) + 3.\nAnswer: 3*sqrt(2)\/5 + 5477\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Work out -91285844.1 + 6.9.\nAnswer: -91285837.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 = 2*i + 1, 3*z = -15. Suppose -11*q = -19*q + 16. Suppose -i = -q*k - k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**3 + 23*w**2. Let k(s) = -5*s**3 + 22*s**2. Suppose -4*j + 3*m + 69 = 76, 5*j + 17 = m. What is j*y(n) + 3*k(n)?\nAnswer: n**3 - 26*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156.29997747 + -156.3. Round i to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r**3 - 5 + 4*r + 3 + 6*r**2 + 9*r**3. Let t be p(-5). Let q(c) = -7*c + 5*c + t*c. What is q(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3\/3 + 370*o**2\/3 + 8612*o\/3 + 8240\/3 = 0?\nAnswer: -20, -1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o + 175 = -50*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3227 times 0.005?\nAnswer: 16.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.99 + 2.71. Let s = 17.68 + f. What is s rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r**2 + 69*r**2 + 72*r**2 + 122*r**2.\nAnswer: 224*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/3 + 16*m**3\/3 + 403*m**2\/3 - 5206*m\/3 - 8664 = 0 for m.\nAnswer: -18, -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8.3 - -717.994\nAnswer: 726.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 48. Let a be 20\/(-3)*(-9)\/6. Solve -3*r - 2*m - 1 = 0, 3*r - b*r + 4*m + a = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1080*y - 32273 - 21573 = -2735*y + 75244 for y.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 648 divide 3860784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663, -606, -549, -492, -435, -378?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.005707 + 0.0057093523. Round t to 7 decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 101. What is the common denominator of (4 - 236\/v)*-25 and -107\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*-2)*2 - sqrt(204) - 2*sqrt(204)*-2)\/(-5*sqrt(108)*-2*2).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6873*b = -6943*b - 560 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o - 38 = 0. Let b = 25 - o. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4449*a**4*o - 27322*a**4 + a**3*o - a**2*o + 2*a**2 + 9511*a*o + 49*a + 8 wrt a?\nAnswer: 106776*a*o - 655728*a + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -756041, -1512082, -2268123, -3024164, -3780205?\n\"Answer: -756041*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 41598.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 623, 639, 669, 719, 795?\n\"Answer: d**3 + d**2 + 6*d + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8827 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 40796366 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/17061 and -8\/31790847?\nAnswer: 349699317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 13*n + 3. Let b(y) = -y + 5. Let l be b(3). What is the third derivative of -16*v**2 + 3*v**2 - 9*v**3 - 9*v**l - 6*v**n wrt v?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**3\/15 + 2084*l**2\/15 - 45122*l\/15 + 16456 = 0.\nAnswer: 11, 1020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6 - -3) + (2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -547*a - 1594. Give c(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6815.\nAnswer: 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8541780 divided by -328530\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2. Let k(d) = -4927*d + 2. Calculate k(o(l)).\nAnswer: -19708*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4099846?\nAnswer: 2, 29, 70687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230525*q + 265 = 115260*q + 115270*q for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2*sqrt(18))*3.\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001497 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2)*(0 + 1). Let i = x + 3. Let a(o) = 2*o**2 - 37*o + 172. Let p be a(8). Solve 0 = -h + p, i*r + 6*h - h = 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 782*a - 14082. What is l(18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q - 5*f - 26, 0 = -3*f - 6. Let n = 427 + -325. Suppose -3*o - 6 = -m, -o - n = -5*m - q*o. What is the greatest common factor of 90 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3331764*k**2 + 2162037*k.\nAnswer: -6663528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70\/59 + 3625\/177. What is the common denominator of (-2)\/(-9) - 16\/(-18) and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43030404 rounded to 3 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -9\/5, 5 in ascending order.\nAnswer: -9\/5, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 t, and 1 q when three letters picked without replacement from ttnqnfay?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11101 (base 2) to base 14\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bd7 (base 15) to base 2.\nAnswer: 1011110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/9, -1\/6, -0.4861, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 17*f + 1. Let m be v(-9). Let t be 4\/(-6) - 75\/9. Let a = m - t. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -536 less than -532?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (57 + -67 + 33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = -11*a + 2*o, 12*a + 85*o - 89*o - 184 = 0 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/363)\/(1894\/(-2841)).\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23865 + 36578. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 6*a**2 + 14*a - 16. Suppose 3*j + m + 14 = -m, 5*m = 5*j + 65. Let n be k(j). Find y such that -10\/3*y**2 + 5\/3*y + n + 5\/3*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5175096 + -3615096. Round s to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 5, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3351 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -404 + 404. Let x(v) = v - 4. Let h be x(4). Let g be (-2 + h)*(-1)\/5. What is the second smallest value in i, -3, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x**2)*(-2*x**3 - x**3 + 4*x**3) + 2*x**5 + 4*x**3 - 4*x**3 + 2*x**5 - 3*x**2 + 3*x**2 + 2*x**5 - 2*x**5 - x**5.\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2 + (-15)\/(-6). Let k be 1*(2\/c + -3). What is the units digit of (-1)\/(3\/(-54)) + k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 8 = -s + 3*m, -2*m = -s + 3. Solve -3*v + 17 = w, -5*w = s*v + 7 - 32 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 1194*y**3 - 1208*y**3 + 5*y.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 57*o. Let i(x) be the third derivative of -x**5\/60 - 15*x**3\/2 - 4274*x**2 - 2*x. Give i(p(n)).\nAnswer: -3249*n**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 452*u + 3906.\nAnswer: 2*(u + 9)*(u + 217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 - 4*k**2 - 4*k - 4. Let c(j) = 13*j**3 - 7*j**2 - 7*j - 7. Let i be (148\/(-185))\/(2\/(-15)) + -1 + 2. Give i*w(n) - 4*c(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3322 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -413, 0.4, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 8, 25, 48, 77, 112?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*w - 7*w. Let t = 19 + w. What is the units digit of (588\/(-70))\/((-2)\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47334, 94669, 142004, 189339?\nAnswer: 236674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 5:13 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 699961, 1399790, 2099619, 2799448?\n\"Answer: 699829*v + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -7*t**5\/60 + 5*t**4\/8 - 5*t**3\/6 - 9*t. Let d(g) be the second derivative of n(g). Differentiate d(f) wrt f.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u - 14 - 445 - 1426 = 0 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26158 + -26157.4877. Round h to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/8)\/((-11)\/352). Let g = d + -20. Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4178981221 - -17?\nAnswer: -4178981204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -13*t**4\/12 + 5*t**3\/3 + 21*t**2\/2 + 36. Let h(o) be the second derivative of a(o). Is h(-1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4*f + 29, -2749*v + 2744*v - 3*f + 28 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 40.8. Which is the nearest to -0.3? (a) 0.4 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102300202 (base 4) to base 5.\nAnswer: 123213442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -344, -691, -1038, -1385?\n\"Answer: -347*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7484 + -7478. Which is the smallest value? (a) 39 (b) 5 (c) m (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 3, g: 1, w: 3}. Give prob of picking 3 d and 1 g.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyz when three letters picked without replacement from {y: 4, z: 3, i: 4, h: 5, j: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 20 = 3*c. Differentiate -2*n**4 + c + 2*n**4 - 4*n**4 - 4 with respect to n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-6)*-1*(-6)\/3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.1. Let o = 2 + -1.99999935. Let x = o - u. Round x to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9776362 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 3:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, -22, -49, -96, -169?\n\"Answer: -h**3 - h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/120 and 95\/288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)\/(-1*sqrt(11))*-2)\/(4*sqrt(81) - (sqrt(108)*2)\/sqrt(12)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o - 1. Let l(h) = 4*h**2 + 4*h - 4. Let x = 160 + -93. Suppose -j - x = 2*g, -4*g - j - 131 = 2*j. Let u = 26 + g. What is u*s(w) + 2*l(w)?\nAnswer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -438, -411, -336, -189, 54?\n\"Answer: 4*f**3 - f - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3785*i + 2636*i - 344337 - 119833 = -210*i for i.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1650 + 51?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 60 = -0. Let k(p) = 10 + l - 21 - 2*p. Let b be 29\/(-9) + 4\/18. Calculate k(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1380*u + 273*u + 307*u + 301*u + 276*u + 302*u.\nAnswer: 79*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.149, 5, 0, -1\/2, -69, 3, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, x: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (286118\/(-214116))\/((-15)\/4). Let z = -2\/2549 + k. Let f = -2\/15 + z. Do 0 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276136287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + i = -13, 5*i = -3*t - 0*i - 11. Is 74 + (0 - -2) + t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*i + 6 = 0, 3*s + 0*i - 19 = 2*i. Solve 5*d = -10, 3*a = 2*a - s*d - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(110)*-1 - (sqrt(110) - 1*(sqrt(110) + sqrt(110) + sqrt(110)*2)))*-3)\/(2*sqrt(120)\/(sqrt(12) + sqrt(12)*-3*-4)).\nAnswer: -78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*(b**(-3\/14)\/b)\/b)\/b))\/(b\/b**(17\/3)))**(-48) assuming b is positive.\nAnswer: b**(-2648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 100002.359 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4559717 and 0.4.\nAnswer: 0.8559717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 3*n**5\/35 + 45*n**4\/28 + 61*n**3\/7 - 45*n**2\/14 - 150*n - 6346. Let q(z) = 0. Calculate z.\nAnswer: -7, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.259 - 0.041. Let n = x - 0.7. Let f = 3 + -2. Sort 1\/5, f, n in increasing order.\nAnswer: n, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8229, 4, 4\/3, 18, 2, 3\/7 in descending order.\nAnswer: 18, 4, 2, 4\/3, 0.8229, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49a - 17a62?\nAnswer: -18451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q. Suppose 5*h - 995 = -q*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/4 - 3*f**2. Let v(q) be the third derivative of 13*q**2 + 0*q - 1\/12*q**4 + 0 + 0*q**3. Determine r(v(i)).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/90 + 2*n**3\/15 - n**2\/3 - 14*n. Determine a so that d(a) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + -4 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 18. Let f be y(-3). Suppose 2*c = 38 - f. Suppose c = g - 7. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 4*h**2 + 4*h + 3. Let d be v(-5). Suppose 6*x = d*x - 56. Suppose -x*k + 27*k = -4. Solve 12 = k*q - 2*n, -n - n - 8 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, -1257, 7 in increasing order.\nAnswer: -1257, -12, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -4*k**3 + 8 + 9\/2*k**2 + 0*k. Find the second derivative of d(v) wrt v.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + -1. Let a = 2.63 + k. Round a to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21059351\/3 or 7019785?\nAnswer: 21059351\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 1. Calculate the remainder when 30 is divided by n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Solve -o*t + 10 = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -23. Let w be 20\/(-1)*(138\/24 + -6). Solve -f = -w*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 8\/3*k**3 + 1\/15*k**6 - 7*k + 5\/3*k**4 + 7\/3*k**2 + 9 + 8\/15*k**5. Factor l(b).\nAnswer: 2*(b + 1)**3*(3*b + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32621.1 rounded to the nearest 100?\nAnswer: -32600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 541, 1496, 3363, 6448, 11057, 17496, 26071?\nAnswer: 37088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42 - 16 - 11 - 48*w - 15 + (6 - 2 - 12)*(4*w - 3*w - 3*w).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 10:31 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2720 and 262240?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v**2 + 11*v - 4. Let q(w) = 2*w**2 - 2*w + 1. Let n(t) = -g(t) - 6*q(t). Let k be 4\/6*12\/8. Let z be n(k). Solve -y = -3*y - z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7555*p**2*t + 8*p**2 + 259*p - t + 2 wrt t?\nAnswer: -7555*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2 - 2*k - 3*k + 4 + 2*k. Let c(y) = 2*y + 3. Calculate the remainder when c(6) is divided by m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 7*t**2 + 9*t + 10. Suppose 2*y - 3*y = 8. Let c be r(y). Find the second derivative of 4*b**2 - b**c + b - 4*b**2 wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 13*y - 42. Let o be r(-9). Let f be ((-52)\/(-10) - 4)*(-10)\/o. Solve 0 = -5*p + f*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1377405069 + 0.001.\nAnswer: -1377405068.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 1*sqrt(88)*-1 + (2*sqrt(88) + sqrt(88))*-5)\/(-4*2*sqrt(392)) + 1.\nAnswer: 15*sqrt(11)\/56 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107517.\nAnswer: 3, 35839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 638756981 less than -5?\nAnswer: -638756986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269564 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 108 - (-17 + 130) - (-1 + -7 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*z - 2, 4 = z + j + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 - 0.07. Let w = -3.9 - z. Let p = 1 + -0.9. Which is the closest to p? (a) -1\/5 (b) w (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = 5*a + 120, -111 = -4*c - a. What is the least common multiple of c and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391b27 (base 12) in base 7?\nAnswer: 10650133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + y)*(2 - 1 + 1) + (-1 + 2 + 3)*(0 + 0 + 6*y).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*w + 45*w + 264 - 1386 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*b - 2 - 5 - 2, 9 = 3*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 13, -38, -121, -236, -383?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 601 + -350. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3030 - 3036. Let s(w) = w**2 + 4*w - 10. Calculate s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1788 and -43\/50958?\nAnswer: 101916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 28*a**2 + a**2.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11614, 23417, 35158, 46807, 58334, 69709, 80902, 91883?\nAnswer: 102622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (20 - 9)) + 39 - 16\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 - 6*q - 6. Let o(s) be the third derivative of 1\/24*s**4 + 0 - 1\/60*s**5 - 3*s**2 + 1\/6*s**3 + 0*s. Determine 22*o(z) + 4*x(z).\nAnswer: 2*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 12:31 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.433 + 7.651. Let s = 32 - f. Let p = s - -0.08399913. What is p rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o = 44*o - 5*h + 110, 5*o + 5*h - 80 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1476.84637\nAnswer: -295.369274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/126 and -71\/856731.\nAnswer: 35982702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -161*t - 3230. Calculate o(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - (-28 + 4))*(-10)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 4:07 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40047 is divided by 120.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 1)*(-2 + 8 - 13)*(317 + 3*v + 311 - 600) as f*v + s and give f.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 - 164*k**3 + 2448*k**2\/5 - 2444*k\/5 + 814\/5.\nAnswer: 2*(k - 407)*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(2 - 5\/2). Let j(h) = -2*h - 13. Calculate the remainder when 31 is divided by j(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726 = 496*z + 110 - 376. Solve u + 2*u - 3*m - 27 = 0, -5*u + z*m + 27 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**8)**(-35))**(1\/5))**(-2\/15) assuming s is positive.\nAnswer: s**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3135 take away -0.1?\nAnswer: -3134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 5. Suppose -u - t*u = -25. Suppose 2 = 2*v - 2, 0 = -y + u*v + 5. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(612)*-2 + 5 - (1 + sqrt(612) + sqrt(204)\/(sqrt(12) - sqrt(108))))**2.\nAnswer: -20889\/4 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37517982 is divided by 133.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74091.71l?\nAnswer: 74091710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.95 - -0.85. Which is the smallest value? (a) -4 (b) t (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from xxxqxxqxrlxxx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02155176 to four dps.\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**7\/7 - 5*l**3\/3 - 6*l. What is the second derivative of c(u) wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.783344 rounded to two dps?\nAnswer: 358.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + -1 + 45 + 4 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rh when two letters picked without replacement from hrytgtrgrattra.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 196.992 millennia?\nAnswer: 2363904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 12*d**2 - 2*d. Let z be v(-12). Suppose 30 = 5*n - 5*b, 0*b + 5*b + 22 = n. Suppose z = n*a - 60. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1074665989 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -2 - 20\/(-4). Suppose 0 = -k*i + 17*i + 42. Let d = i + 10. Let f(p) = p**3 - p**2 + p. Let u(a) = 2*a**3 - 6*a**2 + 4*a - 2. Give d*f(l) - u(l).\nAnswer: 2*l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 16071.8146 to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.621628 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.023 + -0.377. What is the nearest to 6\/7 in -3\/4, u, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7710011.\nAnswer: 821, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 87. Let g(p) = 2*p**2 - 26488*p - 79475. What is the remainder when i is divided by g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -45. Which is the nearest to 2? (a) 0.2 (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/10*(6 - 2). Calculate the remainder when 75 is divided by (234\/(-12))\/(h\/(-4)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 474 = -7*v + 12*v, -996 = -4*a - 2*v. Let m = a - 242. Solve 3*n = m*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001144 rounded to six dps?\nAnswer: 0.000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 414 + -421. What is the nearest to 0 in 1\/4, z, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 79. Suppose 3*i - 5 = 5*u, -o*i - 8 = u - 7. Solve 0 = -j - i*r - 3*r - 8, -j = 2*r + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (-48 + 32 + (4 - -24))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*y + 901 - 293 = 0, -4*x + 4*y = -632. List the prime factors of x.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/30 - (-5)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/7 in -0.2, 8, -7\/2, -124, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117883527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806684.7 days to microseconds.\nAnswer: 69697558080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14245 = -2*r - 3*o, -r + 2878 + 4237 = -o. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, v: 1, m: 1, l: 2, k: 2, n: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -4.936?\nAnswer: -4.936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 13 = -21. Let z be 5*(-2 + (-24)\/(-10)). Sort -4, z, l in decreasing order.\nAnswer: z, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(4 + (-1)\/1). Calculate the remainder when 90 is divided by 2\/z*(-1209)\/26.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*a - 13*a**2 + 12*a)*(29*a - 12*a + 10*a + 33*a).\nAnswer: -780*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48668 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -110 - -649. What are the prime factors of h?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + y + 2. Let v(g) = 3*g**2 - g - 3. Calculate 6*k(h) + 5*v(h).\nAnswer: -3*h**2 + h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p**2 - 4*p + 1. Give s(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*(2 + -2))\/(-2). Let j be (0 - g)\/(-3 + 1). Let k be (24\/(-9))\/(80\/24 - 4). Solve -k*y = -5*d - 7, -y + 0*y - 2 = j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**6\/240 - m**5\/120 - 27*m**2. Factor f(c).\nAnswer: -c**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 0 = -3*r. What is the highest common divisor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 9. Suppose -s = 4*q - 2*m, 3*q - m + 5 = -q. Suppose 2*w + 138 - 16 = 4*t, q = 2*t + 3*w - 65. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 4*u. Let o(a) = 2*a**2 + 4*a + 3. Let p be o(-2). Suppose p + 1 = k. Suppose 2*j - k = 3*j. Calculate q(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 + 7) - -4) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 + 12*u**4 + 9*u**3 - 12*u**2 - 12*u.\nAnswer: 3*u*(u - 1)*(u + 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4262?\nAnswer: 1\/4262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 7 = -0*k + i, -3*k + 2 = -2*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - z**3 + z**3 + (-3*z + 3 - 3)*(0*z - z**2 + 0*z) in the form i*z + u*z**2 + w + d*z**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(8\/(-4) + 1). Let u be (-74)\/8 - (-57)\/(-76). Let r be 17\/(255\/18) + (-8)\/u. Solve r*s = 3*s + d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80996695337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 15*q - 15. Let h(v) = v**2 + 20*v + 34. Let r be h(-18). Let k(p) = -p + 1. Let y(x) = r*b(x) - 30*k(x). Let z(m) = 6*m**2. What is y(z(u))?\nAnswer: -216*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -36646.\nAnswer: 1\/36646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**4\/4 - 2*t**3\/3 - 3*t**2\/2 + 9*t + 23. What is the tens digit of r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5426 (base 7) in base 11?\nAnswer: -14a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 668*u + 8849. Let d be k(13). What is the smallest value in 1, d, 2.42?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 9. Let p be m(10). Suppose 2*a - 29 = 3*a. Let i = p + a. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13\/10 - 16\/5. Is -6 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n + 199 + 201 + 18*n - 400.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1251 divide 35963612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751863 (base 10) in base 5?\nAnswer: 422024423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5\/13, -15, 2, -5, 10, 5?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10943 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 190*t + 1608. Determine h(9).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-6)*(-27740)\/(-12483)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6266840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 790830 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, b: 1, w: 2}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7917*k**3 - 13*k**2 + 7*k - 1. Let n be h(-7). Let l = -3933218 - n. Round l to the nearest ten thousand.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/294*((-13)\/(-2))\/(-13)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 + 3292 - (-11 + 2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 16*k**2 + 16*k + 21. Let y be a(-15). Suppose 0*r = y*r + 66. Put r, -1, 5 in ascending order.\nAnswer: r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 7572.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -119 times -521073\nAnswer: 62007687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -26*n. Let s(y) = -224*y**2 + 681*y + 1. Determine s(k(x)).\nAnswer: -151424*x**2 - 17706*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*g + 426 = 1791. Solve 0 = 33*l + g + 28 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 6*b - 8*b. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193 - 351. Let n = -155 - u. What is the third smallest value in -29, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 14 + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:05 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 - 2*i\/7 - 24\/7.\nAnswer: 2*(i - 4)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*m - 5 = -0, 5*i = -3*m + 25. Suppose -i*t + t = -135. Suppose -d = -5*d - h + 125, t = 4*d + 3*h. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -791 - -775 - (-1 + 2 - 9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678632242 is divided by 8891?\nAnswer: 8885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/36)\/(-1)*(-30)\/(-25).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {z: 2, h: 5, b: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -23. Let y be (-1 - 0 - g)*0. Suppose y = -4*l + 2*l + 10. Solve -1 = j + l*m - 8, m = 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*z = 17 - 233, 3*z = 5*n - 223. Calculate the remainder when 215 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p\/(p\/(p\/(p\/p**0))))\/p)\/p*p**3)\/((p**(-1\/7)*p*p)\/p**4)*(p**1\/p*p)**(-50)\/((p*p**(1\/3))\/p)**(-34\/5) assuming p is positive.\nAnswer: p**(-4472\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/33*(3\/2)\/3. What is the second smallest value in -6, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**2 + 25398700*m + 71912199?\nAnswer: 4*m + 25398700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-4332)\/(-24))*3\/(-9).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 1865.\nAnswer: -74.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 662*i\/9 + 148\/3.\nAnswer: -2*(i + 111)*(3*i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -1\/4*v**4 - 7\/15*v**3 + 6*v**2 - 1\/300*v**6 + 15 - 3\/50*v**5 + 0*v. Let j(a) be the second derivative of g(a). Factor j(d).\nAnswer: -2*(d + 1)**2*(d + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 5*s + 1\/3*s**3 - 7\/2*s**2 + 2. Let y be v(7). Solve -4*a + c + 36 = y*c, 2*a = -4*c + 26 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1162241 <= -1162340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9171 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1170378, 2340470, 3510558, 4680642, 5850722, 7020798?\n\"Answer: -2*b**2 + 1170098*b + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:22 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 9. Suppose 2*z + 498 = -2*z + f*m, 5*z = 4*m - 622. Let i = z - -250. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202176152.\nAnswer: 2, 25272019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*v - 21 + 41, 0 = -5*a - 40. Suppose 3*x + 7 = -4*d - 15, -14 = 3*x + 2*d. Let t be 6 + (-2)\/(-2)*x. Solve t*s = s, -2*w = -s + v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033885250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*q**2 + 41*q**2 - 1352*q + 37*q**2.\nAnswer: -3*q**2 - 1352*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 4.2, -17, 10, 0.3, -4 in ascending order.\nAnswer: -17, -4, -0.16, 0.3, 4.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 2976.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*x**3 - 64*x**3 + 115*x**3)*(-1 - 1 + 0 + (0 - 2 + 4)*(-1 - 2 + 5) + 1 + 7 + 2).\nAnswer: -1044*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 596 and 310665?\nAnswer: 1242660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -8.81747\nAnswer: 17.63494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 2. Suppose 7*k = 4*k - 3*g - 15, -g = -3. Let y be c(k). Suppose -3*r + 4*n = -6*r + 37, 5*n = r - y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 6 = -31. Suppose x*g + 4*f = 2880, g + 5*f - 2295 = -3*g. Let l = 1047 - g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 70\/59, -2\/19, 142, 4, 0.1 in increasing order.\nAnswer: -2\/19, 0.1, 2\/5, 70\/59, 4, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 405 - 375. Let d = s - 19. Let l(a) = 6*a + 14. Let g(r) = -2*r - 5. What is d*g(v) + 4*l(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 169*m + 27. Let o(k) = 337*k + 44. What is 5*f(x) - 3*o(x)?\nAnswer: -166*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -1\/4*v**4 + 11\/2*v**2 + 15*v + 10\/3*v**3 + 14. List the prime factors of o(11).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/54*3*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 220 - -2078?\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9878201 - 4781941. Let u = c + -5096424.00385. Let g = -164 - u. What is g rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 3503373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*w = 4*y - 4, 0 = 4*w. Suppose -5*h = 25, -27 = -v + 5*h - 0*h. Solve -y*t = -v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = 4*v - 7*v + 3*a, -5*v - 5*a + 845 = 0. Suppose 3*i - i - v = -5*r, 4*i - r = 310. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 148 (b) 51 (c) 33 (d) 1\/4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 + -43. Let x = -142 + i. Let j = 34 + x. Solve -2*q - 4 = j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 16 + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112202 + -10?\nAnswer: -112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 545. Let y = d + 450. Which is the closest to y? (a) -3 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 20. Suppose g*d = -36 - 8. Let o = -8 - d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**4 + 105833*b**3 + 112698*b**2 wrt b?\nAnswer: -72*b + 634998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64107 + 1.43.\nAnswer: -64105.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*n - 155*n + 331*n + 301*n - 160*n - 156*n + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghuhauughhhhuhn. Give prob of sequence hh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16*z + 3*z - 4 + 12*z + 2*z**2. Let h be t(3). Differentiate -4 - 3*v**3 + h*v**3 + 2 with respect to v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + 205b?\nAnswer: 2079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:37 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2640\/36 + 2\/3. Let y = 1018 + -685. Calculate the highest common factor of d and y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -35*n**2 + 1\/4*n**5 + 0*n**3 + 5\/336*n**8 + 2 - 5\/24*n**6 + 1\/42*n**7 + 0*n**4 + 0*n. Find m such that b(m) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.019876.\nAnswer: 0.0039752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 - -948128?\nAnswer: 948128.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1619263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14041116*u**5 + 8771*u**2 + 166*u wrt u?\nAnswer: 842466960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441138494?\nAnswer: 2, 3, 113, 409, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60305*r**4 + 26753?\nAnswer: -241220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -32, 0, 6 in descending order.\nAnswer: 6, 3, 0, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -120.466.\nAnswer: -120.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -4*u - 5*l, -3*l - 46010 = -6*u - 45764 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1190 = 4*y, 5*y + 2*f = 4*y - 285. Calculate the smallest common multiple of 18 and (-1 - 1*y\/(-5))*-1.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-8)*(-16)\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/120 - f**4\/24 + 2*f**2. Let z(t) = -3*t**3 + 3*t**2 + 5*t + 1. Let y = -85130 - -85125. Give y*s(x) - z(x).\nAnswer: -2*x**3 - 3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81\/765392 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 968*w**3 - 971*w**2 - 1938*w.\nAnswer: w*(w - 2)*(w + 1)*(w + 969)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/37545390 and 149\/27533286.\nAnswer: 412999290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 634278611 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 431*b + 89. Let y be j(10). Suppose 35*l + 409 = y. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/24 - (-1)\/(-6). What is the closest to -1 in c, 6, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwjeweeeew. What is prob of sequence jewe?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269844 is divided by 134812.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*x + x + 43560 = 635*x for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, k: 2}. Give prob of sequence kggk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4102.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (3 + -2)*-4. Let p be (6\/8)\/((-1)\/m). What is the units digit of p*(-2 + 28\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*(-4 - -1). Suppose 4*w - 147 = 5*k, 5*w + 6*k = l*k + 153. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -22*g**2. Let n(u) = -11*u**2. Calculate n(r(f)).\nAnswer: -5324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 14788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yufqfffy. Give prob of sequence ufq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**4\/24 - 23*m**3\/3 - 2*m**2 + m - 37. What is l(0)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -3*t**5\/5 + 80. Factor b(w).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2. Let c(x) = -923039*x. Give r(c(h)).\nAnswer: 1704001991042*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 59. Let u = o - -31. Suppose 4*d - 330 = u. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 4*p - 6*p + 9*p + 4*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179, -19, 5, -4, -5, 3 in decreasing order.\nAnswer: 5, 3, -4, -5, -19, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-9)\/n)\/(n\/(n*n*n*n**21)))**(7\/6))**(-2\/7) assuming n is positive.\nAnswer: n**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1027, 3602, 7889, 13882, 21575, 30962?\n\"Answer: -g**3 + 862*g**2 - 4*g + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 8*n = 735. Let g be (n\/45 - -1) + 6\/27. Solve -h = -0*j - 5*j + 5, g = -4*h + 2*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -72*d + 129. Let k be q(-16). Let j = k - 753. Is j a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35)\/14*((-1712)\/10 + 2).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1328*h - 13455. What is y(10)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 384*b - 389*b + 70. Solve -3*f + 23 = b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or 5028?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 980.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 110.\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 944 + -922. What is the least common multiple of a and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 73701911 from 372339.5.\nAnswer: -73329571.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(22)\/(3*sqrt(2)))**2*3 + -3 + 1).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11321*c**4 + c**3 + 63322*c**2?\nAnswer: 271704*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1420909\/4)\/(1463\/836) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-80))\/(66\/10 - 6).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v**3 - 26*v**2 + 236*v - 63. Give b(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 7*h**2 - 10*h - 3. Let j be x(5). Let p be ((-25)\/j + -1)*6. What is the highest common factor of p and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18197\/4644 + 2\/1161. Let o be (32961\/(-1260))\/((-2)\/(-5)). Let h = 482\/7 + o. What is the common denominator of h and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -3, -0.106?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8720 and 4796?\nAnswer: 95920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -962 (base 12) to base 15.\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-27 - 2*l + 27)*(4 - 2 - 4).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10 and -7\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = l + 624. Suppose 54 - l = -f. Let c(q) = q**3 + 1. Determine c(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/14 and 79\/412.\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 438 = 3018. Let n = j + -141. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -141955*j**2\/9 - 56722*j\/9 + 8\/3 = 0.\nAnswer: -2\/5, 12\/28391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.489527 to two decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 194878?\nAnswer: 194878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 14910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 331*i + 3062. Let h be x(9). Let 0 - 24\/5*n**3 + 12\/5*n - h*n**4 - 2\/5*n**2 = 0. Calculate n.\nAnswer: -2, -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9090)\/(-13905))\/101*(-9)\/12*-2?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -3*q - 2*m + 6, 3*q - 3*m - 3 = 0. Let g be (-3)\/(-18)*3*q. Let d be 4\/6*(-3)\/g. Which is bigger: d or 2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-22)\/33)\/(((8\/(-1284))\/(-1))\/(-2)). Calculate the highest common divisor of g and 6313.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*s - 32. Let w = -10 - s. What is the nearest to -0.1 in -3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 2:38 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/3 + 168*n**4 - 9321*n**3 - 250232*n**2\/3 - 128188*n = 0.\nAnswer: -6, -2, 0, 73, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 163*b - 936. Determine k(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6*1*(8 - (-5 + 10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*1)\/(-10) + (-15189)\/305. Suppose 0*p + p + 2*n = 4, 4*p - 81 = 5*n. Calculate the remainder when -2*1 - (-5 + b) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - u = -15, 5 = b - 3*u + 11. Solve 0*t + 5 = -5*h + 3*t, -15 = -b*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 6*t**3 + 191 - 302*t**2 + 295*t**2.\nAnswer: 2*t**3 - 7*t**2 + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2) + -7 + 6 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 2899.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48*(1 + ((-1309)\/(-88) - 15)) - (-11 + 1).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269957 at most as big as 1269963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - 59390 + 59390.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 114202*d. Let p(m) = m**2. Give p(x(g)).\nAnswer: 13042096804*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -8 (b) -2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71222831.\nAnswer: 53, 811, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**4 + 18745*q**3 - 1018610*q**2 + 10203180*q - 28591560 = 0?\nAnswer: 6, 43, 3694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 23*g**5\/4 - 13*g**4\/12 + 9*g + 5. Find the third derivative of x(m) wrt m.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 9 = w, 4*j - 3*w + 19 = 2*j. Let y = -16897 + 16898. What is the closest to -0.2 in 4, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 102*u + 1436\/7.\nAnswer: -2*(u - 2)*(u + 359)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-8))\/(27\/(-36))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-714 + 3827 - 4117 + 6188 + 11423 + 9500)*(2 + 3*t**2 - 2) as s + m*t**2 + u*t and give m.\nAnswer: 78321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -147, -0.5, 2\/7?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (142 + -316 - -191) + (2 - -53 - 2)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 65330*a - 39644535.\nAnswer: 5*(a - 13647)*(a + 581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pkppokppopkppokpkkk.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 9*f**2 + 21*f + 17. Let s be d(-5). Suppose 0 = 4*g + 8, -s*g = 3*p - 9*g. Solve 4*v + 6 = v - 3*a, p*a = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/15660 and -139\/480?\nAnswer: 125280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**5\/20 - 4*h**2 - 11. Let a(f) be the second derivative of z(f). Let j(v) = -2*v. Determine a(j(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5352174 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4*v + 20 = 0. Suppose -v*b - 3 - 2 = 0. Let u(l) = -2*l - 1. Let s be u(b). Solve 0 = -4*c - s - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11492 - -10970. Which is the third smallest value? (a) -0.5 (b) -0.3 (c) 0.1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -885*n - 2 - 2*n**2 + 891*n + n**2. Let m be d(1). Let p = 86 - 75. What is the nearest to 0.1 in p, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - 119\/(-17)) + 11. Let p(y) = y**2 + 3*y + 3. Let f be p(-5). Is f less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -341\/5 + 3094\/45. Find the common denominator of g and 284\/(-180) + (-4)\/18.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 60641 and 60669 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbv when three letters picked without replacement from vbxxzvvzb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322022443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + ((-1)\/7 - (-1110)\/(-70)). Let q be -5374 - (-1)\/((20\/v)\/(-5)). What is q rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(33)\/sqrt(176))**2 - (-4 + -1*(1 + sqrt(3)))) + -1.\nAnswer: -sqrt(3) + 323\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g - 53*g + 16*g + 23*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f. Let d(k) = -3*k. Let m(t) = 2*t + 3*t + 7*t - 6*t. Let l(n) = 9*d(n) + 4*m(n). Determine l(z(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31dc36c - 1?\nAnswer: -31dc36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 1086?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 46.81. Let u = o + 10.81. Let r = u - 10.99999972. What is r rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/8 and -87\/1100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39059226 is divided by 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -3 + 0 - 0. Let g = 14 - 4. Calculate the smallest common multiple of g and 9\/(u\/((-8)\/6)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2304, 2565, 2662, 2319, 1260, -791, -4110?\n\"Answer: -46*c**3 + 194*c**2 + c + 2155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let i(j) = -47*j**2 + 122*j + 141. Determine i(k(p)).\nAnswer: -47*p**4 - 122*p**2 + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 = -10*m - 583 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m)*(1 - 1 - m) + (3*m + 0*m - 4*m)*(78*m + 192 - 192).\nAnswer: -77*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-20)\/(-5))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9072 and 738096?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-105)\/441*(-63)\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(3\/11) + (375\/25 - -21).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, q: 1, z: 3, r: 2, n: 1, y: 1}. Give prob of picking 1 y, 1 r, and 1 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52011179 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.6 (b) 7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.39, 1\/2, 616 in descending order.\nAnswer: 616, 2\/3, 1\/2, -0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/4 - 125*p\/4 - 325\/2 = 0.\nAnswer: -5, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 0*l + 140. Suppose 10 = -m + l. Suppose 45 = 5*c + 3*z, -4*z = 2*c + z - m. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 4:33 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1738 (b) 1\/5 (c) -1\/2 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 129079 * -2.6\nAnswer: -335605.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7 - -7)*(-2)\/(-8))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4724*g + 779*g + 786*g + 795*g + 795*g + 785*g + 791*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11518292195 + -3.\nAnswer: -11518292198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -611\/246 + -2\/123. Let u = -1622 + 1621.9. Let s be 1 - -2 - 36\/15. What is the nearest to u in s, -4, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 50 = -5*k, 0 = 3*i + k - 0*k + 32. Let j = 17 + i. Solve -4*n - 1 = -r - j, 2*n = r + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3044862 and -3044874 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = -2*v, -2*y + 18 = 2*y - 2*v. Let c be 3*-2*(-1)\/2. Let r(w) = c*w - w - y*w. Let h(m) = 3*m. Calculate r(h(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 29. Suppose -15*l + 14*l = s. Let i = 49\/9 + -47\/9. Are i and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 11*b**4\/4 - 31*b**3\/6 - 11*b**2 + 59*b. Does 14 divide z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -5)\/((-6)\/48*-16). Solve -k*h = s - 13, 0 = 12*s - 10*s + 3*h - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 - 2*f**4 + f**4 + 13*f**4 - f**4 + f**4 - f**4 + 2*f**4 - 2*f**4 + (-f**3 - f + f)*(2*f - 2*f + 2*f) - 5*f**3 + 5*f**3 - 2*f**4.\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1208 and -11247.\nAnswer: -13586376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-60)\/(-40)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 18.218.\nAnswer: -17.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + -2 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 547283522, 547283523, 547283524, 547283525?\nAnswer: 547283526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 370202 and 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lggfgllfegl. What is prob of sequence egfg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618 by 6.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 8*y**2 + 8*y - 11. Let t be x(-9). Let s(h) = h**2 + 18080*h**3 - 2*h - 9040*h**3 - 9041*h**3 + 1. Determine s(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.6 or 28167?\nAnswer: 28167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -3349.\nAnswer: -3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/(-15)*12\/(-10). Let n(z) be the third derivative of z**6\/120 + 2*z**5\/15 + 7*z**3\/3 - 3*z**2. List the prime factors of n(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**9\/756 + s**5\/120 - 4*s**3\/3 - 1. Let l(h) be the third derivative of p(h). Find the second derivative of l(c) wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 938 = 1866 - 949 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 28. Let v = 8 + d. What is the units digit of (-2 + 1)\/1*v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63.9999868 - -64. Round w to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by -3\nAnswer: -83\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, d: 1, y: 1, o: 1, j: 4, t: 4}. Give prob of picking 1 o, 1 j, 1 d, and 1 t.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -288 divided by 1?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2\/203, 15 in descending order.\nAnswer: 15, 2\/5, -2\/203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -36*u - 3416. Let t be a(-95). Solve -t*f = x, 3*f = 5*f + 2*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 24412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 461*x + 3 - 4 - 4 - 378*x.\nAnswer: 83*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**2 + h - 2. Let q(x) = 11*x**2 - 2. Let z be q(3). Suppose 0 = -4*s + 9 - z. Let g be -2 - ((-8)\/44 + 84\/s). Determine y(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**5)\/(((n\/(n*n\/(n*n**2\/n*n)))\/n)\/n))\/((n\/(n\/(n*n\/(n*n**(-2)*n))))\/(n**(1\/4)\/n)) assuming n is positive.\nAnswer: n**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1400*346\/(-43596)*9\/2\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from zzxznxznzzzz.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 120. Suppose 26 = 4*a - q. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5ba8 (base 13) to base 6\nAnswer: 140034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/((b**(-1\/3)*b*b)\/b)*b\/(b\/b**1)*b)**(15\/8)*(b**(-10)\/b*b**(3\/10)\/b)**(2\/3) assuming b is positive.\nAnswer: b**(13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/4*(2 + (-32)\/(-66)) and -31\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/72414 and -143\/7776.\nAnswer: 1158624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/(3 + (-62)\/21). Suppose 5*c - a = 4*p + 106, -c + 70 = 5*p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2038 and 4.\nAnswer: 4076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (8 + -3 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*n + 18, -4*n + 5*q - 5 = 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -321 - -362. Calculate the highest common divisor of t and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - l. Let t be m(1). Suppose 0 = -13*h + 63 + 2. Let y(p) = p**2 - 4*p - 32. Let v be y(8). Solve 4 = g - 3*g - k, t*g + h*k + 4 = v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39*((-20)\/(-16))\/((-4635)\/(-412)*(-2)\/(-24))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1217*g**4 + 10*g**3 - 1088. Let n(o) = -1217*o**4 + 8*o**3 - 1082. Let f(s) = 4*b(s) - 5*n(s). Differentiate f(k) with respect to k.\nAnswer: 4868*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r + 3*l, 0 = -r + 3*l + 3 + 3. Suppose r = -4*v + 9872 + 9276. Suppose 0 = 5*z - v + 952. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/882 and -89\/786996.\nAnswer: 5508972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249 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: Simplify -3*5*((1*sqrt(204))\/sqrt(12) - (-1 + sqrt(1088)))**2.\nAnswer: -12510 + 210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3*n - 128*l**3 - 3*l*n - 904*n with respect to l.\nAnswer: 3*l**2*n - 384*l**2 - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 21827.9.\nAnswer: -21825.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 712172*p\/7 + 1424352\/7.\nAnswer: -2*(p - 2)*(p + 356088)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -392 + 404. Let g(t) = 42*t**2 - 18*t + 137. Is g(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3230 and 59470?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6000.9112 rounded to the nearest one hundred?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -107, -309, -811, -1763, -3315?\n\"Answer: -25*q**3 - 27*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - 0 - (10 + (-19 - (2 + -1)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 512*j**2\/23 - 268086336*j\/23 + 35092911889602\/23.\nAnswer: 2*(16*j - 4188849)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:31 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2011221*z**3 - 927914*z**2.\nAnswer: -12067326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 + 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-32))**1*(s*(s\/(s**(-18\/5)*s*s))\/s*s)\/(s*s**(1\/32)))**(-40) assuming s is positive.\nAnswer: s**(4709\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*t - 38*r + 17 = -39*r, -16 = 2*t + 2*r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205, 98, -33, -200, -415, -690, -1037?\n\"Answer: -2*m**3 - 93*m + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 28.5. Sort -0.3, -0.5, a.\nAnswer: -0.5, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3 - 2*p**2 + 3*p + 30. Give k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -22*(-3 + 4\/8)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.507605 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**2 + 13019*z + 8678 = 0.\nAnswer: -4339, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 50853, 203386, 457615, 813546, 1271185, 1830538, 2491611?\n\"Answer: b**3 + 50842*b**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 50 = 3*i. Is (-113814)\/i + 3\/((-6)\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-55)*(-279)\/(-62).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 7) in base 2?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3843*p - 70235 - 71956 = 0 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24096 and 51\/182?\nAnswer: 2192736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 44. Which is the closest to q? (a) -5 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - g - 2 = -i, -2*g - 4 = 3*i. Suppose k + 4*k - 1065 = i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 35*d - 115. Let o be s(-29). Let m = -268 - o. Calculate the lowest common multiple of m and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*k + 432*k + 14135 = -36246 for k.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25944262854 take away -0.2?\nAnswer: 25944262854.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.17719, -8, -3\/5, 1\/5 in ascending order.\nAnswer: -8, -3\/5, -0.17719, -2\/15, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -856\/711 - -60\/79. What is the smallest value in m, 0.4, 24?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 3*j**2 + 4*j - 5. Let m be d(2). Let g(x) = -x**3 - x**2 - x - 2. Let a be g(-2). Solve -y - a*u + 5 = -6, -3*y + m = -u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/(-2)*-1). Let r = i - -88. What is the greatest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125) - (sqrt(125) + -2*(1 + sqrt(125) - sqrt(125)))) + sqrt(125))**2 - sqrt(125)) + 0 + (-5*sqrt(125))**2.\nAnswer: 15*sqrt(5) + 3254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/13, -20\/9, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 78 - -a5c6?\nAnswer: a660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.59 + 1.7. Let v = y - 0.09. Let d = 0.0721 + 2.9279. Is v < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126198 and 82574.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 12 = -l - 5*a, -3*l + 28 = -4*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456392852.\nAnswer: 2, 114098213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.358893 and -17.8.\nAnswer: -13.441107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1904 + 1903. What is the fifth biggest value in 19, g, -0.1, 2, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010244557 to seven dps.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5334917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 238383073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 1631 + -1631.001109. Round n to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15933053.9 rounded to the nearest 100000?\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4230\/191 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2630800 rounded to the nearest 10000?\nAnswer: -2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 + (((-2322243)\/5786)\/(-21) - 10) and 149\/6.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3157 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -638 - -601. What is the nearest to -2\/5 in -0.2, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 9*i**2 + 41*i + 21. Let y be x(-4). Let d be 7*6*3 - 0. Let m = y - d. Solve -2*q - q - 4*n = 10, 0 = -3*n - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -906*t**2 + t**3 + 900*t**2 - 5*t**3 + 13*t to the form b*t**2 + k*t + q + l*t**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -23629169140 rounded to the nearest 1000000?\nAnswer: -23629000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from {g: 2, m: 2, z: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -1846*z + 1849*z. Solve -z = -6*r + 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**2. Let b(u) be the first derivative of -3*u**3 + 16. Calculate b(g(r)).\nAnswer: -900*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183 + 75 = 9*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/13 - 514*r**3\/13 - 1488*r**2\/13 + 9224*r\/13 + 20320\/13 = 0. What is r?\nAnswer: -254, -5, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 1. Let g(l) = 5*l**3 - 24*l**2 + l - 6. Let z(k) = -5*g(k) - 30*t(k). Factor z(v).\nAnswer: -5*v*(v - 5)*(5*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - 5*a - 0*a, -4*a + 8 = -d. Suppose -15*u = -11*u - d. What is the highest common factor of 5 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5201444 is divided by 2242.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 151 = -139. Let n(w) be the first derivative of 8*w**2 + 16\/3*w + 20\/9*w**p + 5. Factor n(a).\nAnswer: 4*(a + 2)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99456 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00047759 rounded to six dps?\nAnswer: -0.000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187590192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 51532919, 3 in decreasing order.\nAnswer: 51532919, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 80325730.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*z - 287 = 236 + 261 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 - 158 = 3*q. Let x(w) = -21*w - 1. Let s be x(q). Let v = 21 - s. Solve 3*f = 2 + v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + 13122?\nAnswer: 13213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 4*j**2 + 5*j. Suppose -2*k = l + 5, 0*l = -2*l - 5*k - 13. Let b be (l - (-42)\/(-18))*(-12)\/8. What is r(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60473 + 155701 = 38*i. List the prime factors of i.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -0.5, 361\/74, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13422386099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 8:43 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 5)\/((-3)\/(-24)). Let n be (33\/(-9))\/(-1) - f\/12. Suppose -q - n = -9. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 + 10.7. Let t = -12.999939 + r. Round t to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhrglhs. What is prob of sequence ggm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 50548*b**3 + 3*b**2 - 101088*b**3 + 50543*b**3 - 721*b as j*b**2 + h*b**3 + d + a*b and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*t**3*u**2*z**3 + t**3*u*z**2 - t**3*z**3 + 81*t**2*u**2*z**2 + 2*z**2 wrt z.\nAnswer: 168*t**3*u**2 - 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 105. Suppose -5*t = -t - 8. Which is the second smallest value? (a) t (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 1. Let j(t) be the second derivative of -t**5\/20 - t**4\/2 - 2*t**2 + 3*t. Determine -j(o) + 4*w(o).\nAnswer: o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j + 79*j**2 + 9*j + 28*j.\nAnswer: 79*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1946721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020221211 + 10?\nAnswer: -1020221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-56)*(-294)\/(-504)*2\/3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/30 - q**2. Let r(n) be the second derivative of 0*n**2 - 5*n + 0 - 7\/12*n**4 + 0*n**3. Give r(y(s)).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 79476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 10. Let i = q + 4. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + -96)*(-26 - -24)*7.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 2 - 4*u - u + 0*u**2. Let g be y(-5). Let b be (-1 + g - -2)*-4. Solve 3*r = 4*p - 4 - 15, 6 = -b*p - 2*r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 12*s**3 - 102*s**2 + 19*s - 19. Determine x(9).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -a542 (base 14) to base 9\nAnswer: -43052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37\/9 + 2\/(-18). Suppose -16 = 4*s + g. Let r be ((-8)\/20)\/((-6)\/(-10)). Put r, s, 2\/3 in decreasing order.\nAnswer: 2\/3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:55 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.223 rounded to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26631 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - d - 6. Let q be a(0). Let w = 28 - q. What is the remainder when 33 is divided by 4*(w\/8 - (-1 - -1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 6 - 14 - 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/2095570?\nAnswer: -3\/2095570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 3 = -177. Calculate the highest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 0 + 9)*(0*i + i + 0*i).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 204647 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = 15*w - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -247444 smaller than -247443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*950\/(-152)*3\/15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 3914 = 28*d + 2339 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 15*c - 7*c. Let l(b) = 9*b**3 + 3*b**2 - 1. Let k(d) be the second derivative of -13*d**5\/20 - d**4\/3 + d**2\/2 - 207*d. Give c*l(z) - 5*k(z).\nAnswer: 2*z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r + 2*r - 7*r**2 + 9*r + 2 + 2*r to the form g + j*r + y*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1229037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*t + 52 = 0, -3*t = -4*z - 38 - 6. Let a(r) = r**3 + 6*r**2 - 10*r + 6. Let q be a(z). What are the prime factors of 2 - (3 + 1 + q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*l - 39*l**2 + 36*l**2 - 13*l.\nAnswer: -3*l**2 - 47*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -346*g**4 - 12*g**3 - 11*g**2 + 225967*g wrt g?\nAnswer: -4152*g**2 - 72*g - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/30 + (-1)\/(-3). Let l be 126\/231 + 16\/396*-19. Which is the second biggest value? (a) l (b) 1\/2 (c) n (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.025 + 2. Let i = 0.036 - 0.106. Let p = j - i. What is p rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 754 + -4525\/6. What is the fourth biggest value in -5, q, 0.07, -19, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -30*s**2 + 48*s - 93. Let r(h) = -17*h**2 + 24*h - 48. Let k(i) = -4*q(i) + 7*r(i). Determine k(22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 832411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23417 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:37 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2001557\/8820 + -919\/441. Let v = -223 + h. Find the common denominator of v and (-249)\/6*(-1)\/26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5083*r - 4. Let g(o) = 71155*o + 55. Let m(b) = 55*d(b) + 4*g(b). Let w(k) = 2*k**2. Give w(m(x)).\nAnswer: 51106050*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(1\/(-6)). Let v be i\/8 - 102\/(-8). Let s(x) = -289*x + 295*x + 39*x**3 - 43*x**3. Let y(o) = -9*o**3 + 13*o. Give v*s(m) - 6*y(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from ntntnnnnnthnhhnnnhnn.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -46940378 divided by 79?\nAnswer: -594182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6021*y. Let n(z) = -z**2 + 445. Calculate k(n(v)).\nAnswer: 6021*v**2 - 2679345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 12 = -4*v. Let h be (-3 + 2)*(-6)\/v. Suppose 0 = 5*o - 12 + h. Solve 2*t - 5*i - 2 = 0, -t = 2*i + 1 - o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.531298 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**2*f**3 - b**2*f**2 - 15585332*b*f**4 - 11*b*f - f**2 + 4297*f + 88 wrt f.\nAnswer: -24*b**2 - 374047968*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*j + 924*j - 476*j - 41756 = -1031*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -30. Let q(i) = 15*i**4 - 6*i**4 + 9*i**3 - c - 5*i**3. Let x(s) = -9*s**4 - 5*s**3 + 8. Let m(z) = -5*q(z) - 4*x(z). Differentiate m(y) wrt y.\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.44 - -3.753. Let y = 1.477 + z. Let w = y - 1.9. What is w rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**4 + 0*g**3 + 0 - 8*g + 13\/20*g**5 - 1\/2*g**2. Find the first derivative of c(p) wrt p.\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*s**5 - 175375*s**4 - 12755*s**2 + 89*s - 1.\nAnswer: 840*s**2 - 4209000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**7\/6300 - r**5\/300 + 5*r**4\/12 - r. Let v(n) be the third derivative of u(n). Factor v(t).\nAnswer: 2*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11245 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 105372?\nAnswer: -84297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.95 (b) -1\/5 (c) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 10:38 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = -0. Suppose 0 = -3*f + p. What is the lowest common multiple of 10 and f*(-2)\/(8\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5442 (base 8) to base 10\nAnswer: -2850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -27. Suppose 77 = 3*t - d, -2*d - 58 = -v*t + 44. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, 10, 39, 100, 205?\n\"Answer: 2*z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70569 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-34 - -46)\/60 + 12\/15)\/67\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*n + 16. Let z = 11 - 6. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11127 + 7277 = -110*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 649.\nAnswer: -11682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 9*x**2 + 7*x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122011301313 (base 4) to base 14\nAnswer: -ca06d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/192 and 67\/30?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)*-1 + ((sqrt(170)*2 + sqrt(170))*4 - sqrt(170)) + sqrt(170))\/(6*(sqrt(10) + (2*sqrt(50))\/sqrt(5))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/7 - (-312)\/42. Solve 3*b - 1 = 4*n + y*b, -4*n - 22 = -2*b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 26\/28)*30\/15.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 4. Let i be k(-7). Suppose -33*c = -31*c - i. Suppose -164 + 5*a**c + 83 + 76 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305692563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -218*y**3 - y + 24 wrt y.\nAnswer: -1308*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 16, 1699 in descending order.\nAnswer: 1699, 16, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 88\/(-6) + 2\/(-6). Let g be (12\/(-15))\/(6\/q). Suppose -g*c + 50 = 3*c. What is the highest common divisor of c and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 423, 323, 223, 123?\n\"Answer: -100*z + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5614.28ml to litres.\nAnswer: 5.61428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from zzjjjzjjjzjzzjzjjzzj.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4484 greater than -4478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 + 3 + -7 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hijvvxjjjrjri. Give prob of sequence vi.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9900000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -70*c**3 - 100*c**2 + 310*c + 560. Let g(w) = 5*w**3 + 7*w**2 - 22*w - 40. Let z(l) = -55*g(l) - 4*q(l). Suppose z(s) = 0. What is s?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**6\/120 - h**5\/20 + h**4\/8 - h**3\/6 - 4*h**2. Let a be i(-4). Is ((-2)\/4)\/(a\/(-72)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 607*x - 8203 wrt x.\nAnswer: 607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -232*k**2 + 696*k**2 - 46 + 177 - 231*k**2 - 235*k**2 as s + h*k**2 + m*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -41*z + 860. Let y be v(21). Sort -1425, -2\/21, -2\/9, y.\nAnswer: -1425, y, -2\/9, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -n - 4*q, -4*q = 3*n + n + 40. Let a = 4 + -6. Let t = a - -7. Sort t, -4, n in ascending order.\nAnswer: n, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 2*r = -7*u + 11, 5*u + 2*r - 7 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7816*g - 57 + 57.\nAnswer: -7816*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*b**4 + b - 19*b**4 - 2*b**2 + 0 + 3*b**4 in the form z*b**3 + d*b + t + q*b**4 + p*b**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n - 450 = 0. Let h = -66 - n. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 30. Factor -10*k + 298*k**4 - 303*k**4 + 21*k**2 - 6*k**c.\nAnswer: -5*k*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 112 = -0*o - 2*o, 0 = -4*c - 2*o + 230. Calculate the remainder when c is divided by -12*(-5 - 60\/(-16)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17387, 34773, 52159, 69545?\n\"Answer: 17386*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/98 and 17\/511?\nAnswer: 7154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w + 3*d - 373 + 388 = 0, -7*w + 9*w = -5*d - 28 + 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -65030000 to the nearest 100000.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241702 is divided by 40282?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5936.9 rounded to the nearest 100?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -457*f**4\/12 + f**3\/3 - 6*f**2 - 4*f - 72. What is the second derivative of q(s) wrt s?\nAnswer: -914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 1194 - 142. Let u be (-4)\/(-14) - r\/7. Let o = u - 33. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (111\/(-814))\/((-3)\/12*3). Which is the closest to -4? (a) -2 (b) -3.22 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 57 and 53 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.089 - -0.088773. Round g to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.04 - 1.23. What is h rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - (-10 - -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/5*2\/21. Factor u - 8\/3*y - 4\/3*y**2 + 8\/3*y**3.\nAnswer: 4*(y - 1)*(y + 1)*(2*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000185209723 to 7 dps.\nAnswer: -0.0001852","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -0.02547.\nAnswer: 0.52547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(27\/(-3)))\/((-10)\/(-60))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74615*r = 74644*r + 8009771. Round r to the nearest 1000.\nAnswer: -276000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 57457114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 19. Let f be w(-10). Let l be (-124)\/f - (-24)\/108. Suppose u = 3*g - 2*g - 14, -g + 4*u = -l. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-69)\/(-4))\/(-6 - 102\/(-16)). Suppose 5*j + 23 = -3*r, r + 23 = -j + 5*r. Let b = j + f. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 7. Differentiate -4*u**3 + 4 + 0*u**3 - 9*u**3 + a with respect to u.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 3590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3652 and 1522796.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-1))\/(-1)*3\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**3 - 6*t**2 - 33*t - 49. Let k(x) = 4*x**3 - 3*x**2 - 17*x - 20. Let c(o) = -3*b(o) + 7*k(o). Determine c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*(-10)\/15. Let j = 16 + -15.3. Let t = -2.3 - j. What is the nearest to 0 in -5, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 times -7\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524851 a multiple of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17537 and 995.\nAnswer: -16542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 67. Let o(w) = 1 - 4 + 0*w + w**2 - 22*w + t. Let a be o(22). Solve -a*n + 5 - 14 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5 - 118*z**4 + 5188*z**3 - 55636*z**2 + 202174*z - 151606 = 0.\nAnswer: -91, 1, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -830779979, -830779980, -830779981?\n\"Answer: -z - 830779978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*x**3 + 450*x**2 + 2*x + 19?\nAnswer: 24*x + 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*y - 89, -2*y = -7 + 3. Which is greater: q or 92?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -76. Let o = -41 - t. Suppose 5*y = o + 35. What is the remainder when 37 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*r + 30518 - 28073 = 0 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*n**2 + 0*n - 2\/3*n**4 + 56\/3*n**3 + 0.\nAnswer: -2*n**2*(n - 27)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/29123418 and 1\/297684.\nAnswer: 174740508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/306 and 20\/3.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*u + 20 = 343*u + 2*j, -4*j - 5 = -22*u + 27*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 88. Let m = v + 128. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 517580?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + 6. Suppose 3*s + 0*s = 12. Suppose -s*w + 0*w + 44 = 0. What is the remainder when z is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*w = -2*j + 8, 0 = 2*j - 3*w - 8. Let c = 128 - 125. Solve -5 = -c*m + j*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.80000132 + 6.8. Round w to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-1))**(-7\/2))**(4\/7))**(2\/11))**(3\/11) assuming n is positive.\nAnswer: n**(-24\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -102245.2482 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 135300 divided by -246\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 + 20*s - 1. Let k(r) = -r**2 - 3*r + 1. Determine d(g) - k(g).\nAnswer: 5*g**2 + 23*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*1*-1. Let b be 2\/(-2 + w + 5). Let v be -2 + b + 11\/9. Sort -0.2, 5\/6, v in decreasing order.\nAnswer: 5\/6, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13512, 13511, 13510, 13509?\n\"Answer: -z + 13513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3817280 and 755?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 10 + 24. Let n = v - -20. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033*g**2 - 72 - 101 + 7034*g**2 + 173.\nAnswer: 8067*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.2. Let y = 72 - 218\/3. What is the nearest to y in -2\/13, k, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 29*b = 32*b - 5067, 5*h - b = 12710. What is the highest common factor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5830 and -0.3.\nAnswer: -1749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 7*g**2 - 7*g - 12. Let i(q) be the third derivative of q**5\/30 - q**4\/12 - 2*q**3\/3 + 30*q**2. Determine 7*i(h) - 2*t(h).\nAnswer: -2*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1.3 (c) -271962.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 35*u + 2118. What is the least common multiple of 30 and g(-60)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.57844 - 2963.\nAnswer: -2962.42156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = 60*p - 798750. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 + 11*t**3 + 21*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -9, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 258, -1 in decreasing order.\nAnswer: 258, 8, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 4*m - 27, 3*y + 2*m = 95. Let c = y + 46. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**4\/6 + 19*u**3\/3 - 67*u**2. Let h be l(8). Is h at most as big as 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*2)\/(sqrt(110)\/(sqrt(33)\/sqrt(3))) - (sqrt(2) + 0 + -4 + 4 + sqrt(98))*-5.\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1640 and 68\/2255.\nAnswer: 18040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0*b - 4 = -5*b, 2*v - 5*b = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -40. Put w, 11, 4 in ascending order.\nAnswer: w, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*m - 54 = 0, -2*j + 0*j = -5*m - 12. Let p be j\/((-33)\/(-18))*19500. Round p to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7097419 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {o: 2, v: 5, m: 3, y: 7}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**8\/6720 + i**5\/120 - i**4\/12 - 2*i. Let b(j) be the third derivative of y(j). Differentiate b(v) wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-11)*l))\/(l\/l**(-3\/13)))\/(l\/(((l\/l**(-2))\/l)\/l))**16)**19 assuming l is positive.\nAnswer: l**(2413\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8372, -8370, -8368, -8366, -8364, -8362?\n\"Answer: 2*l - 8374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002695375 rounded to four dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1158, -2318, -3478, -4638, -5798?\n\"Answer: -1160*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -6. Let v = 17 - 17.5. Put 3, m, v in decreasing order.\nAnswer: m, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**4\/3 + 3*g**3\/2 + 2*g**2 - 53*g. Calculate the remainder when 18 is divided by u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i**(4\/21)*i*i)\/i*((i**(-1\/48)*i*i)\/i)\/i assuming i is positive.\nAnswer: i**(243\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 480 divide 830802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*2\/(-2) - 1. Let c be 2\/d + (-60)\/(-24) + 48. Let n be c\/120 + 2\/(-8). What is the second biggest value in n, -0.2, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 + -10 - (-1)\/1. Solve 2\/9*g**4 - 2\/9*g - 2\/9*g**2 + 0 + 2\/9*g**d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186370922 is divided by 463?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 110151 and -5.\nAnswer: 110146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.4 - -18. Let b = -14 - -10. Sort b, a, 2.\nAnswer: b, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.001 + -0.921. Let w = f + -0.08. Which is the closest to -1? (a) -0.1 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4087 and 43\/671.\nAnswer: 44957","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let k = -13 - -21. Suppose 2*l - k = -4. Let b(g) = -2*g + 2. Determine b(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n**3*z**2 - 4*n**3 + 12*n**2 - 6*n*z**2 wrt z?\nAnswer: -10*n**3*z - 12*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 - (-9 - -4))*1. Solve 3*i = v + x, -5*v + 6 - 47 = -4*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3216, -3254, -3362, -3576, -3932, -4466?\nAnswer: -5214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2446*a - 56757 - 48421 = 0 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (19 - 56) + 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = o + 32. Suppose o*k + 2*u = 2*k, -4*k = 2*u - 8. Suppose 4*t = -2*g + 25 + 13, 3*t - 2*g = 25. Solve -2*n = -2*z, t*z - k*z = -4*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + g - 33, -45*w = -12*w - 17*w - 12*w + 6*g - 18 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*r**4 - 7*r**3.\nAnswer: -r**3*(30*r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228*m + 3134 - 43658 = 0 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 337 + -1?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 - 49) + (4 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 738917401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -14*q - 1\/140*q**5 - 3*q**2 + 5\/21*q**4 + 0 + 23\/42*q**3. What is c in j(c) = 0?\nAnswer: -2, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = -6*t + 1804. Suppose t + 1 = 4*b. Let h be 4624\/b + ((-3)\/7)\/(-1). What is h rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 - -1.37. Let u = c + 0.93. Let q = -0.9 + u. What is the closest to -1 in q, 2, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22353102 (base 6) in base 14?\nAnswer: 13b222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -1, -5\/3, 262.5, 2\/13?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2001?\nAnswer: -4\/2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (132 + 2)*((-4)\/(-7) - 60\/(-140)). Suppose -4*l + 9 = 1. What is the highest common divisor of o and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -895 divided by 10045.\nAnswer: -179\/2009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 18 + 18)*(5*i**3 - i**3 - 3*i**3 - i) to the form g*i + s + x*i**2 + m*i**3 + z*i**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 115. Let v be (-2)\/8 - (-35)\/n. Let t = -66\/185 + -9\/37. Which is the third biggest value? (a) -4 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8328*y + 8758 + 21669 = -102821 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -229 - -227. Let z be p*(22\/(-4) + (12 - 8)). Solve 4*f = 2*i - 2, -z*i - 10 = -i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmzm when four letters picked without replacement from {z: 6, m: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.04725286 rounded to three dps?\nAnswer: 3.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 - 16\/(256\/(-84)). Let n = -17 + 32. What is the greatest common divisor of u and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**4 - 4*o**3 - 4*o**2 - 7*o - 256. Let w(q) = q**4 + q**3 + q**2 + 2*q - 1. Let d(s) = t(s) + 4*w(s). What is the first derivative of d(v) wrt v?\nAnswer: -20*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.73 - -4.73. Let p = 76 - 76.2. Which is the second smallest value? (a) u (b) -79\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 740393, 2962805, 6666817, 11852423, 18519617?\n\"Answer: -i**3 + 740806*i**2 + i - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 4 + 0)*(-3*p**2 - p**2 + 6*p**2).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2. Suppose -5*i = 3*n - 24 + 5, -3*n + 11 = i. What is q(n)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/8)\/(2\/6). Let z be (-4 + -1)*6\/(-15). Put -4, z, s in descending order.\nAnswer: s, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -5310?\nAnswer: 5310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1817 = -18*a + 919. Let s = -136 + a. What is the greatest common factor of 24 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/8 (b) -12\/221 (c) 3 (d) 84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(6655) - 1*sqrt(6655))*5)\/((sqrt(10) + sqrt(10) + sqrt(90)*1)\/sqrt(2))*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -17. Solve -g*y = -2*l + 16 + 7, -3*y - 4*l = 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 518 (b) -2\/19 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - (sqrt(50) + (sqrt(3200) - (sqrt(3200) + sqrt(3200)*1 + sqrt(3200)))))\/(sqrt(810)*-1))**2 + 0 + (-2 + sqrt(80))*4.\nAnswer: 632\/81 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218132.\nAnswer: 2, 23, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 33430424303?\nAnswer: 33430424310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59705 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*h**2 - 1 - 27*h**2 - 3*h + 1 - 36*h**2 to d*h + s + v*h**2 and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9))**(-3\/13) assuming u is positive.\nAnswer: u**(27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/30 - (-80)\/(-1650). Let h = 172.117 - 172. Let r = h + 0.283. Which is the third biggest value? (a) 3 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2. Let f be 4*((-12)\/3 - (-81)\/12). Let t(r) = 8*r - 2*r + r - 10*r - f*r. Determine t(h(q)).\nAnswer: -126*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195608*b*g**3 - 1143*b*g + 25*b + g**2 wrt g?\nAnswer: -1173648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 1. Suppose -5*a = -4*u + 3*u - 137, -3*a - 5*u = -99. Suppose -4*s - a = 3*c, -13 = c + 4*s + 7. Let d(m) = 14 - 14 - m. Give c*d(t) - v(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/7)\/h)\/h)**(12\/13)*((h*(h\/h**(-5))\/h)\/h)\/h**(-6))**7 assuming h is positive.\nAnswer: h**(857\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466950, 933468, 1399998, 1866546, 2333118, 2799720, 3266358?\nAnswer: 3733038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -4 (c) 944\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 + 4*g - 5. Let y be b(7). Suppose w + w = y. Suppose -7*p + 5*p + w = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 261. Let i(b) = b - 261. Give -6*g(l) - 5*i(l).\nAnswer: l - 261","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 + 44?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 8*q + 124. Let f be (1 + 0)\/1 + q. Let x = -28 - f. Solve 20 = -x*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 12) in base 6?\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvvsssdvsvvvvsdvvv. Give prob of sequence dv.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -47*v - 2. Let m(r) = -16*r**2 + 10. Let h(o) = 9*o**2 - 6. Let i(l) = -5*h(l) - 3*m(l). Determine i(u(c)).\nAnswer: 6627*c**2 + 564*c + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 1\/12*l**4 + 0*l - 1\/2*l**2 + 11\/18*l**3 - 199. What is z in v(z) = 0?\nAnswer: -6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -3. Let c(w) = -15 - w - 4 + 27. Let j(g) = g - 7. Let i(m) = h*j(m) - 3*c(m). What is i(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -537 - -546. What is the lowest common multiple of 60 and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 353, 511, 833, 1367, 2161, 3263, 4721, 6583?\n\"Answer: 8*g**3 + 34*g**2 + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -5\/4*l**4 - 25\/3*l**3 + 0*l + 15*l**2 + 29. Factor w(a).\nAnswer: -5*a*(a - 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-172)\/6*18\/(-2). Suppose 402 = 4*m + 4*t - 266, 0 = -4*t - 8. Suppose -2*y + b + m = 0, 0 = 2*y + y + 3*b - s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -152943 and -152954 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13650010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -o - 241 + 251, 2*o = b - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + p = -2*d + 7, 0 = -2*d - p + 1. What is the closest to -0.2 in d, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11830 * 5.\nAnswer: 59150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -876669 and 2?\nAnswer: -1753338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/68809 and 157\/49296.\nAnswer: 3302832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 21348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 20*d**2 + d + 25. What is the remainder when 14 is divided by z(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332031 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16105470 to the power of 1\/2, to the nearest integer?\nAnswer: 4013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*u - 21 = 0, -10 + 0 = -2*k + 4*u. Let y(g) = -101*g**2 - 2*g. Let d be y(1). Let i = d - -103. Put k, i, 2 in descending order.\nAnswer: 2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-258)\/(-90) - 6\/(-45). Let n(i) = -i + 7. Let v be n(z). Suppose v = -2*o, 0 = -2*u + 4*u + o - 290. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + 4.1. Let f = g - 42.2. Let l = 34.8 + f. Are l and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -309, -230, -437, -930, -1709, -2774, -4125?\n\"Answer: -143*t**2 + 508*t - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 11. Let d be g(-25). Let v be 0 - 18\/4*(-26)\/d. Which is the nearest to -2\/7? (a) v (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127725799?\nAnswer: 8731, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 12:49 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 - 2*q + 2. Let u be v(-3). Let o = u - -3. Let g = 55 - 48. Calculate the smallest common multiple of g and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1448126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37555643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/7, 1\/4, 1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -7.98. Let x = 5 - q. Let a = -0.851 - -0.781. Sort x, 2, -2\/5, a in increasing order.\nAnswer: x, -2\/5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -20*m**2. Let h(a) = 5257*a. Calculate h(o(b)).\nAnswer: -105140*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -195423, -195426, -195429, -195432?\n\"Answer: -3*j - 195420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -144, -124, -76, 12, 152, 356, 636?\n\"Answer: 2*p**3 + 2*p**2 - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.974 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuw when three letters picked without replacement from wmuwuwwmmuummm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -1. Let k = -0.8 - n. Which is the closest to k? (a) 4 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 39, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20142 and 105192.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 456478967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*l - 7*f + 1, 0 = 2*l - 5*f - 11. Let j be (2\/2)\/(2 - 232). Let d = 221\/2070 - j. What is the second smallest value in 2, l, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292890 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j + 5*a - 1020, -9 = 3*a. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -102220000?\nAnswer: -102220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*29156.\nAnswer: 2624.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27951233.\nAnswer: 23, 1215271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680053.\nAnswer: 11, 211, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9725 - 67*v**2 - 9725 + (-3*v + 5*v - v)*(3*v - 3*v - v) - v**2 - 4*v**2 + 3*v**2 + 4*v - 4*v + v**2.\nAnswer: -69*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1510\/7 + 4\/14. Suppose 0 = 2*w + 2, -z - 72 = -5*v - 2*w. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/48)\/(7\/2 - 2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 176? (a) -9 (b) 286 (c) -3\/7 (d) -4 (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5 + 259*d - d**2 - 3 - 1 - 258*d. Let s(a) = -3*a**2 + 7*a + 1. Let l = 0 + 1. Let g(w) = l*p(w) - s(w). Find q, given that g(q) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 13*z**7\/7 - 19*z**3\/3 - 20. What is the third derivative of w(c) wrt c?\nAnswer: 1560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*l + 7*l**2 - 13*l)*(-77*l - 231 + 231).\nAnswer: -539*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:21 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-10) + 10\/50 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*d - 364*d - 222*d.\nAnswer: -943*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 184*s**3 + 2*s**2 - s + 4. Let y(v) = 6*v**3 + v**2 - v + 1. Calculate a(d) - 4*y(d).\nAnswer: 160*d**3 - 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4297 = -4*j - c - 1511, 3*c = -3*j + 2085. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120030131212 (base 4) in base 14?\nAnswer: -bb159c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/23 or 135343?\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -3 + (-282)\/(-4). Let a = -71 + f. Suppose 3 + 0 = -3*b. Which is bigger: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 27*b - 20. Let m be k(26). Solve -m*u - 10 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.98 + 5. Let d = 16 + -15.844. Let f = d - 0.056. What is the third smallest value in f, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9}. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19765 and 20753722?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 484055 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 11*b**5\/12 + 4*b**2. Let a be w(-1). What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, l: 2, u: 7, g: 3}. What is prob of picking 1 l and 3 g?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(950) - sqrt(950))\/(sqrt(2) - (sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(6))*5.\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - 48. Let g = -31 - f. What is the remainder when 56 is divided by -3 + (g - 2) + -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 - 3*c - 2. Let k be q(-2). Let d = k - 14. Suppose -d = -3*y - 5*m, -5*m - 2 = y - 0*m. Calculate the smallest common multiple of 3 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750 a factor of 84846750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1878476 or -1878468?\nAnswer: -1878476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k = 18. Let j(t) = -t + 14. Let m be j(5). Calculate the greatest common factor of k and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*b**3 + 21*b**3 - 134*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1972 - 1980. Let m(a) be the first derivative of a**4\/4 + 7*a**3\/3 - 7*a**2\/2 + 9*a - 6. Determine m(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q - 4*q. Let n be 37 - 39 - 71\/(-37). Is q smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -1, 1077, -3 in descending order.\nAnswer: 1077, 8, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4790701340 take away 7.7?\nAnswer: 4790701332.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 121.8. Let s = h - -5.8. Let k = s - -58.01. Is k at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1, -3\/36274, -4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76551, -76559, -76567, -76575, -76583?\n\"Answer: -8*n - 76543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 6*g)*(0*g - 2*g + 3*g) - 14 + 3*g**2 + 5634*g - 5634*g.\nAnswer: 5*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + b - 2, -l + 5*b - 9 = 25. Sort -3, 1, l, -6 in descending order.\nAnswer: 1, -3, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3*1\/(-4))\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -181 (b) 0.1 (c) -1 (d) 2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 258183\/497 less than 520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 5\/2 (b) -28\/17 (c) -2\/17 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.474598965 and -0.6?\nAnswer: 9.074598965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6335 (b) 2126 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6285.371 and 462523.3?\nAnswer: 456237.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 3820*q**2 + 7655*q - 3830.\nAnswer: -5*(q - 1)**2*(q + 766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1334*m + 5*m**2 + 4679*m - 4*m**2.\nAnswer: m**2 + 6013*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -2. Suppose -x + 0 = -g. Sort 3, -4, 1, x in increasing order.\nAnswer: -4, 1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + -2022211230?\nAnswer: -2022211320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 + 5*g + 5. Let u be 27\/(-6) - 2\/(-4). Determine v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-135)\/(-9)) - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + ((-185)\/20 - (7 - 25\/4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.755 times -0.5?\nAnswer: -1.3775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 k when four letters picked without replacement from llkkglkkkggg?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 906*s**2 - 491*s**2 - 427*s**2.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 165745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, x: 3}. What is prob of sequence xxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - -1) + -8 + 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 + -211. Let s(q) be the first derivative of 0*q**5 - 4\/3*q**3 - 6 - 2\/3*q**6 + 0*q**4 + 0*q**d + 0*q. Find the third derivative of s(a) wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9517616 divided by 4?\nAnswer: -2379404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57334 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 11*d - 27 = -4*y, -6 = -y + d. Let p be ((-9)\/(-12))\/(3 - 13 - y). Which is greater: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 4 (c) 355\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 - -155. Let w be -27*(0 - (0 + -1)). Is r smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 249, 303, 353, 399, 441, 479?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3767228*x. Let y(u) = -3*u**2. What is i(y(q))?\nAnswer: 11301684*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert fd4be (base 16) to base 7.\nAnswer: 11550534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 + -6)\/(1*-2). Let j be ((-72)\/(-14))\/((-2)\/t). Solve -5*z + 2 = -j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2. Let o(p) be the second derivative of 2*p**4\/3 - 11*p**3\/3 - 23*p. Let k(g) = 3*a(g) + o(g). What is the second derivative of k(i) wrt i?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -142, -5, 0, -2, 1, -9.\nAnswer: -142, -9, -5, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 14 + 14 + 16 + 35.\nAnswer: 2*l + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218326 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 + 57. Give g(0).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 15 - (126 + -134)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 13*r**2 - 12*r + 5. Let y(s) = -3*s - 12. Let g be y(-8). Let u be d(g). Let w = -3 - -7. Which is the smallest value? (a) 3\/5 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212 + 31?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8519377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -108, -81, -58, -39?\n\"Answer: -2*l**2 + 33*l - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, p: 3, k: 2, i: 6, w: 1}. What is prob of sequence ipi?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -22*g - 3. Let f be j(-3). Let b = 166 - f. Let a = -38 + b. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Suppose -13 + c = -4*d. Let h = d + 1. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 21 = 3*v. Let k(u) = u**3 - 8*u**2 + 7*u + 5. Is 5 a factor of k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2600 = -4*a - 3*b, -5*b + 20 = -0*b. Suppose 33*i + 218 = a. Solve 2*k + k = 4*g - i, -g + 13 = -4*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68a - -179?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 28*w - 1076 = 27*w, -5*g = -w - 1354. Let b = -216 + g. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17775 or 17771?\nAnswer: 17775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buj when three letters picked without replacement from {u: 1, w: 1, b: 2, x: 3, j: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plllllpllllllpllllll. Give prob of sequence ll.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 107*i**2 + 2517*i - 1. List the prime factors of l(-45).\nAnswer: 2, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.57349671 * -10.\nAnswer: 5.7349671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4300 is divided by 1073.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 726. Calculate the lowest common multiple of 22 and l.\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2892)\/(-241) + (-3)\/(60\/(-136)))*15\/6.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {m: 3, v: 3, o: 3, k: 1, j: 3, b: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 5*s**2\/2 - 2*s + 9. Let a be l(1). Solve a*b + 4 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4868589 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11721427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20a - -174?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 566\/(10\/(-15)*-3). Suppose 115 = n - w. Let t = n - 229. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/60 - i**4\/6 - i**3\/2 - 11*i**2. Let s be m(-6). Let o = s - -41. Is o greater than or equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -882.5959 rounded to the nearest 10?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/60 - 5*y**4\/12 + 61*y**3\/6 - 2*y**2 - 3*y. What is the derivative of n(s) wrt s?\nAnswer: 6*s**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - 3*(sqrt(190) + -2*sqrt(190)))\/(sqrt(10) - 1*sqrt(490))*-3.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8509579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*w + 284 - 339 + 49.\nAnswer: 39*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 105315 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 9*m + 10*m + 7, -2*p + 2 = -2*m. Calculate the remainder when 78 is divided by (-83 + p)*2\/(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1413 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-140)*(-6)\/(-27)*3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3177 + 3177.6238. Round b to 2 decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*m - 9 + 2*m + 6*m wrt m?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 13*v - 42. Let b be f(-16). What is the second derivative of 7802*g**2 + 19*g**5 + b*g - 7802*g**2 + 13*g wrt g?\nAnswer: 380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*g - 0*g - 198. What is the highest common divisor of g and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563762 to the power of 1\/2, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1783.6 and -4.343?\nAnswer: 7746.1748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 440 = 8*k. Let g = k + -39. Suppose n - g = -4*z - n, z = -5*n + 22. Solve -q + 5 = z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 4. Let r be m(10). Let d = r + -31\/2. Let b = -307 + 3379\/11. What is the third biggest value in b, 3\/5, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-318*t + 1275*t - 464*t)*(t - 2*t - t).\nAnswer: -986*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 3*t**3 - 4*t**2 - t**2 - 8 - 7*t**3 as r*t**3 + z*t + n + w*t**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*x - 94 + 94.\nAnswer: 98*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188 (base 11) in base 7?\nAnswer: 4341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9078189621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32679325 divided by 175.\nAnswer: -186739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*n + 80 + 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1362 and 5181.\nAnswer: 2352174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - t - 16, -t = -h + t + 5. What is the closest to -2 in 3, h, 5\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.5 (b) 11 (c) -0.4 (d) 0.1 (e) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 263795 and 21.\nAnswer: 791385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 290.9 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 93. Let z be y(24). Solve 0 = 5*s + 3*w - 18, -z = -4*s - 4*w - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*9\/6*-4. Suppose -h + p*h - 22 = -3*n, 0 = -h - 3*n + 2. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*j = -9574, -j = 3*s - 4334 - 2839. Suppose 141*w - s = 137*w. What are the prime factors of w?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 386154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20254991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 722542975 divided by 1527575?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28\/5, -0.4, -1\/11, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1050 = -50*b + 45*b. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a + 8. Let s = 7 + -4. Let h be (1 - -14)*((-4)\/3 + s). Calculate the greatest common divisor of a and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 + 9*r**2 + 6*r**2 + (2*r - 2*r - r)*(-r + 2 - 2).\nAnswer: 22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 17, y: 2}. Give prob of sequence hhhy.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -3*o**2 + 1\/3*o**3 + 0 + 8*o. Differentiate v(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205425 - 60570 - 146205 = 13740*d for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 3*b + 24. Is 8 a factor of p(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.0773\nAnswer: -0.1546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/24 + (-2)\/3)*-16. Suppose -w*q = -10*q + 14. Let c be (-3)\/(-1) - (q - -1) - -1. Solve 8*g + c = 6*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241712.31 months in years?\nAnswer: 20142.6925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 399 - 394. Suppose 5*x - 23 = 3*x - 5*t, l*t = 5. Solve k = -3*j - x, -3*j + 2*j + k = -1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 970 = -0*f + 5*q, 582 = 3*f - 4*q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121011032 (base 4) to base 13.\nAnswer: -379b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2583, -3, 106\/11?\nAnswer: -2583","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23587 + 23589. Solve 41*a - 42*a = -3*s + 4, a + 5 = z*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931211131.\nAnswer: 7879, 118189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -134. What is the biggest value in 1\/6, c, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (49\/(-189))\/((-8)\/42) and (-134)\/(-24) + -6*10\/120.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:04 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a milligram in micrograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/24*-27 + 5366.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14208 is divided by 4705.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 115. Find the second derivative of 133*j - 62*j - 209*j**2 + v*j + 18*j wrt j.\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + 8 - (89 + -95)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 13. Let t = 3 + -2.7. Let f = 4 - 7. What is the second smallest value in u, t, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-176 - 27 - 2)*(2*l + 0*l - l) to the form z + u*l and give u.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -7.43 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 2*k**2 + 3*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21339*o**2 - 89309*o - 2 wrt o.\nAnswer: -42678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*d + 546. Let g(u) = -u**2 - 17*u + 9. Let c be g(-9). Let y = c + d. Solve y = -2*r - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-241*x - 256 + 256)*(2*x**2 - 2 + 2).\nAnswer: -482*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*g = -20. Suppose -c + 14 = 3*c - 3*q, 0 = c - g*q - 10. Let x be 2 + c + (-2 - (1 + -1)). Put -10, x, 5, 3 in ascending order.\nAnswer: -10, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 23*f - 14. Suppose -r = -5*r + 12, 0 = 4*a + r - 31. List the prime factors of y(a).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - 2) + 27 + (-58 - -29).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o**4 + 22*o**2 + 36*o + 24 + 6*o**5 + 906*o**3 - 64*o**2 - 939*o**3 = 0 for o.\nAnswer: -2, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 3, d: 2, u: 3, y: 2, f: 4}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*j + 1 - 5, 3*h + 3*j = 0. Let d be (-4 - h)\/(2\/(-9800000)). Round d to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.7862 - 2753748?\nAnswer: -2753637.2138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/280 and -57\/752480.\nAnswer: 5267360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*i - 161*i + 278*i.\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0)*(-9)\/(-2). Let o be ((-6)\/u)\/(2\/6). Let w be (o - -2) + 1 + 1. Let l(h) = -h**3 + 2*h**2 - 2*h. Give l(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11\/3 (b) 0.1 (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-12 + -11 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*o**4 - 6 + 3116*o**3 - 1569*o**3 + o - 3 - 1547*o**3 to the form m*o + f*o**3 + w + l*o**4 + h*o**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761 times 5598?\nAnswer: 21054078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in 0.4, 0.077, -3, 2\/17?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -253. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 95, 143?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48679139?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/16, 3, 1 in descending order.\nAnswer: 3, 1, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Let p = 2 - y. Is (0 - p)*(3 - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-9)*(6\/(-14))\/((-53)\/(-318))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 8)*(n**2 + 2*n**2 - n**2).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 28. Let t = -43 - r. What is the units digit of (-12)\/t*9*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 23 - 5*x**2 + (-x + x + 2*x)*(-x + 6 - 6) + (151*x + 82*x**2 + 152*x - 303*x)*(0 + 1 + 0).\nAnswer: 75*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1601?\nAnswer: -1601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*t + 54, -3*u - 72 = -2*t - 21. Let s be (-3)\/(-12) - t\/52. Let y = 2.2 + -2.3. What is the third smallest value in -2, 4, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7, 0.1, 8?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*r + 56*r - 667961 = -16596448. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c8 (base 15) in base 2?\nAnswer: 10111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047852.\nAnswer: 2, 3, 13, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times 0.08?\nAnswer: 0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2540 and 4620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/123? (a) -0.207 (b) -1\/2 (c) 0.3 (d) 4 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 1191136590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 342914 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -34, 1, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*v + 85*v = -9*r + 272, 36*v = -2*r - 88 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.204 times -0.0264\nAnswer: 0.0053856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 6*c - 3. Calculate the least common multiple of p(3) and 12 - (0 + -1)*-4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + 4*(sqrt(275) + -2) - (-1*sqrt(275) + -2))**2.\nAnswer: -360*sqrt(11) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18*(-27)\/18. Which is the third biggest value? (a) -1 (b) f (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, x: 3, k: 1, h: 1, c: 2}. Give prob of sequence hc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -25, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/200 and 47\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3100715 - 3100767 = 3*g, 3*b = 15*g + 243 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 479500 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2445 - 46467\/19. Is -2 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -11*z. Let q = -46 + 95\/2. Is q equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - t**2 + 1. Let u(z) = 4*z**3 + 6*z**2 - 5. Suppose w + 5*w = 30. What is w*k(m) + u(m)?\nAnswer: -m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 - -4) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 7 + 2*d - 3*d + d**2 + 0*d + 3 in the form y + c*d**2 + q*d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*y + 4 + 3, -3*i = 2*y - 13. Which is the smallest value? (a) y (b) -57\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4701 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) - 1*(sqrt(2448) + 3))**2 + 1 + -5)*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -1, -3.\nAnswer: -4, -3, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + (24\/18 - (-222)\/(-18)). Solve -p - 11 = -2*r, -51*p + t*r = -54*p + 44 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33110748 and 16920?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415, 830, 1245, 1660, 2075?\nAnswer: 2490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -6, 0 in decreasing order.\nAnswer: 0, -1, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -10\/7*g - 8\/7*g**2 - 2\/7*g**3 - 4\/7 = 0. Calculate g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g + 29 = -283 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - x**2 + 5*x**2 - x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -20705489\nAnswer: -41410978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5144 + -5140. Let m(d) = -1518*d**2 + 165*d - 165. Let p(k) = -37*k**2 + 4*k - 4. Give g*m(u) - 165*p(u).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 463884601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + a703e?\nAnswer: a702a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 14*o**2 - 11*o - 16. Let r be c(13). Let k = r - 6. Suppose 0 = -k*y + 105 - 1. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -3*b**5\/20 + 23*b**4\/2 + 95*b**3\/2 + 72*b**2 - 346*b. Factor x(g).\nAnswer: -3*(g - 48)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33137706 to the nearest integer?\nAnswer: 5757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110111 (base 2) to base 3.\nAnswer: 102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12895 = -3*k + k + a, 4*a = k - 6437. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.7931 litres to millilitres.\nAnswer: 28793.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 13. Let n be t(5). Suppose -7*z = -n*z - 105000. What is z rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.35 - -0.4. Let r = a - 3.05. What is the closest to r in -1\/9, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -98*a**2. Let y(i) be the second derivative of -i**3\/6 + 71*i + 3. Give y(c(n)).\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5054*n**6*z - 38*n**3*z - 8*n**2 + 12*n*z - z - 135 wrt n?\nAnswer: 606480*n**3*z - 228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 49. Let b be (3 - 0) + (2 - (-5)\/t). Let c(w) = -w**2 + 5*w - 6. Calculate c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.18 - -1.32. Let x = m - 0.5. Is 10 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 284 = -0*h. Is (1 + h)*(-3)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40242368?\nAnswer: 2, 628787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 5*b + 3. Let d be v(3). What is the common denominator of 93\/16 and -3 + d*61\/52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4082, 3185, 2286, 1385, 482, -423, -1330?\nAnswer: -2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009*d + 1009*d - 3025*d + 1006*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -1\/5 (c) 2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 722223159 divided by 838819?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 - 8 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 4*i**2 + 20)*(-320 - 31 - 75 - 237) to the form f + h*i**2 + g*i and give h.\nAnswer: -2652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.916 + -3.516. Which is the third smallest value? (a) 0.5 (b) y (c) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njnbjyzjzn. What is prob of sequence byn?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j + 7. Let s(f) = f + 2. Let m(p) = 2*b(p) - 7*s(p). Let i(h) = 10*h. What is i(m(a))?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -219, -328, -509, -762, -1087?\n\"Answer: -36*r**2 - r - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.188 take away -161556043?\nAnswer: 161556040.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 59*k**3 - 5*k + 18. Is d(2) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Let r(l) = 5 + l - 3 + 0 + o. What are the prime factors of r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9834542 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 1, r: 2, o: 3, d: 1, h: 1}. What is prob of sequence so?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**4\/2 + 1155*h**3\/2 + 123495*h**2\/2 - 9588995*h\/2 + 74794335 = 0. What is h?\nAnswer: -121, 29, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17400)\/(3 + (-92)\/30). Let b be (-3)\/r*13094 + (-3)\/(-12). Let q = 11\/125 - b. Are 0 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147053200 divided by 29410640.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2. Let y(i) = 39808*i**2 + 3. Calculate y(x(m)).\nAnswer: 159232*m**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2 + 4. Solve j - 15 = 2*j + 4*n, -n = -o*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -284 + 401. Let o = d + -933\/8. Which is the closest to 1? (a) 1\/4 (b) o (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 83 + 64 = 0. Let d = -29 - q. Solve 4*t + 8 = d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134829 - 133932 + 268761 - i + i**2 + i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 8*q + 3. Let z be k(7). Let g = -9 - -14. Calculate the greatest common factor of z and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207416.\nAnswer: 2, 11, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 3*u**2 - 2*u**2)*(-4*u**3 - u**3 + 2*u**3)*(5 - 6 + 2).\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1116 and 12438564?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*k**3 - 242*k - 246*k + 2 + 489*k as o*k + i*k**3 + x*k**2 + s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199427.\nAnswer: 17, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200952\/11 - 18304. Does q = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -98*q**3 + q**2 - q - 1. Determine v(-1).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12943, 12941, 12935, 12925?\n\"Answer: -2*g**2 + 4*g + 12941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 61, 77, 93?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1 (c) 5 (d) -2250673\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -3*o**5\/7 + 151*o**4\/21 - 16*o**3\/21 - 40*o**2\/7 + 5*o + 174. Solve t(k) = 0.\nAnswer: -1\/3, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)*j*j)\/(j*j**(-2\/3))*(j*j*j\/(j**(-2\/5)\/j*j))**(6\/7) assuming j is positive.\nAnswer: j**(-674\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10902031.\nAnswer: 7, 1557433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-7))\/(3*(-3)\/27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 6:44 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (371 - 27*f**2 - 371 - 4*f**2 + 4*f**2 + f**2 + (-2*f + 0*f + 4*f)*(4*f - 4*f + 2*f) + 1 - 1 - f**2)*(-4 + 4 - 1).\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32, 61, 90, 119?\n\"Answer: 29*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/5)\/(54\/405). Let l be (20566\/21)\/(j\/103167). Let p = 9939147 - l. What is p rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 254 + ((-230)\/(-69))\/(4\/(-6)). What is the third biggest value in -0.2, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 - 11.14. Let q = -9.9 - a. Let p = q - 0.1. Put -3\/2, 1\/10, p in decreasing order.\nAnswer: p, 1\/10, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-8)\/(a*a**7*a)*(a\/(a**(2\/23)\/a))\/(a*a\/((a*a**(-3\/2))\/a)*a))**(-5\/6))**(-10) assuming a is positive.\nAnswer: a**(-22525\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n - 6 + 7 - 8. Let k(q) = q - 1. Let w(l) = -k(l) - x(l). What is the tens digit of w(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(1584) + -3 - (sqrt(1584)*1 + -1 + sqrt(1584))) + sqrt(1584) + 2 + sqrt(1584) + 0 + (0 + sqrt(1584))*4)**2.\nAnswer: -960*sqrt(11) + 158416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**6 + c**3 + c**2. Let j(n) = 4*n**3 + 5*n**2 + 4*n - 8*n**6 - 4*n + n**6. Let b(k) = j(k) - 4*l(k). What is the third derivative of b(f) wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178620 and 1170?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169927 and 14809.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**3 + 2*b**2 + 9988*b - 710804?\nAnswer: 9*b**2 + 4*b + 9988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(112)*-1 + sqrt(112)))**2 + (sqrt(700) - (3 + (0 + sqrt(700) + sqrt(700) - sqrt(700)))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101 - 1096 = -3*n - 2*m, -5*m + 50 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-3)\/(-1))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let r(t) = -133*t. Calculate r(d(f)).\nAnswer: -133*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19276 divided by -244?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 52*x + 89. What is c(27)?\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from lpdddddddl.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/(-117)*(-12)\/16\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -34*t + 2. Let o(m) = 34*m - 2. Calculate -5*d(v) - 4*o(v).\nAnswer: 34*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 30. Suppose y = 4*d - 2*o - 342, -2*d = -4*o - 121 - 35. Calculate the remainder when d is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130727245 + 1?\nAnswer: 130727246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108882 and 13460340.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 7*j. Let s be u(-7). Which is the second smallest value? (a) s (b) -2\/17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -983bb (base 13) in base 7?\nAnswer: -2224404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -2*n**5\/5 + 3*n**4\/4 + 24*n**3 - 448. Find the third derivative of t(b) wrt b.\nAnswer: -48*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947646 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: Let d(q) = -3*q**4 + 3*q**3 + 3*q**2 - 3*q + 4. Let z(f) = -3*f**2 - f**3 + 0 + f + f**4 - 1 + 2*f**2. Let j(m) = 3*d(m) + 12*z(m). Find g, given that j(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-21 - -21 - 13).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19006*b + 14041*b - 7890*b - 23606*b.\nAnswer: -36461*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2 + 2 + 542*w - 540*w. Let r(d) = 17*d**2. Determine f(r(k)).\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*a - 2*a + 710, 4*a = -4*y + 568. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 810*w**2 - w - 832*w**2.\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -452*v - 115. Let w be m(-6). Let a(j) = 219*j**2 + 2. Let u be a(2). Suppose -w = -9*k - u. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3329 divided by -5.\nAnswer: 3329\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20))\/(1*9\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3\/7*r**4 - 27\/7*r**2 - 9\/7*r**3 + 0 + 81\/7*r = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hss when three letters picked without replacement from ssnnnhns?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let o = -60 - -662\/11. Is v equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7715395 + 166.63465\nAnswer: -7715228.36535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4555*c - 22703. Calculate j(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.082 - 0.382. Let p = -16.8 + 17. What is the closest to u in p, 2\/9, 4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 20710.83 days?\nAnswer: 1789415712000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2504397681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 28, 37, 52, 79, 124, 193, 292?\n\"Answer: v**3 - 6*v**2 + 20*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316*d + 152 = 13108. Calculate the remainder when 156 is divided by d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173124 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 8*t - 10. Let m be h(-9). Let y = m + 2. Sort y, -1, 3 in descending order.\nAnswer: 3, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 263, 533, 797, 1049, 1283?\n\"Answer: -k**3 + 3*k**2 + 268*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/108)\/(1\/(-3))*1\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 z when four letters picked without replacement from eeeezeez.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.981 + -0.019. Let y = 0.248 + 2.752. What is the closest to -2\/7 in y, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164*g**2*l**3 + 2*g**2*l**2 - 4*g**2*l + 69*g**2 + 6*g*l**3 + 5*g - 2*l**3 + 125*l**2 + 5 wrt g.\nAnswer: -328*l**3 + 4*l**2 - 8*l + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 21 - 4 = 17. Solve -65*x + 51*x + 42 = c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.061834 litres?\nAnswer: 2061.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 146 = -5*t, -5*l - 5*t = -0*l - 205. Solve 1 + l = -10*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8423777070 rounded to the nearest one hundred thousand?\nAnswer: 8423800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -0.0457.\nAnswer: -6.0457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(78)*-6 - sqrt(78))\/(sqrt(864) + sqrt(54)) + 4*(sqrt(1872)*2 + -5 - (sqrt(1872) - (2*sqrt(1872) + 5))))**2.\nAnswer: 3464*sqrt(13)\/3 + 2437501\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*k - 56*k - 16. Solve -5*c = k*d + 9, 0*d + 2*d - 18 = 2*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -522 + 1120. What are the prime factors of x?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*j, m + 2*j = 350. Suppose 4*u = 2*q + m, 3*q = -0*u + u - 93. Factor 9 - 8*l**2 - u*l - 3*l**2 + 89*l - 3.\nAnswer: -(l - 1)*(11*l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -550, -1923, -4610, -9049?\nAnswer: -15678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3304254 (base 7) to base 3.\nAnswer: -202120101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3 - (-8 + 9 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:32 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(1\/10)*(v*v\/((v*v**11\/v)\/v)*v)\/v assuming v is positive.\nAnswer: v**(-69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 359745.\nAnswer: 3\/119915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172068.\nAnswer: 2, 71, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*z + 3*z. Suppose 3 = z*n - 3*t, 2*n + 19 = 6*n + t. Factor -p**3 + 2 - 2*p - p**3 - 2*p**2 + n*p**3.\nAnswer: 2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -270, -280?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8 and ((-9)\/(-24))\/((-150)\/760).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/19 + 442*v**2\/19 + 24640*v\/19 + 24200\/19.\nAnswer: 2*(v + 1)*(v + 110)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134424 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**3\/3 + 5*f**2\/2 - f - 13. Let p be m(4). Suppose -12*u + 2*u + 60 = 0. Solve u = -p*b - 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3636, -6964, -10292, -13620?\n\"Answer: -3328*i - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 2*m + 4. Let t = 138 + -141. What is w(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229883 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*((sqrt(128) + (sqrt(128) - sqrt(128)*1))*-3 + 4 + 2)*4)**2 + -4.\nAnswer: -18432*sqrt(2) + 76033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, l: 3}. Give prob of picking 3 l and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 77 = -3*o + 5*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 14314*n + 100296 = 0.\nAnswer: -7164, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 22*y - 27*y + 25*y + 13. Let s be a(-13). Let b = -31 - s. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (7 + -5)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 161 + 524133?\nAnswer: 524324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Let t(b) = -2*b + q - 3 + b**3 + 2 + 2*b**2. Give t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3105 + 647. List the prime factors of n\/(-16)*(2 - 4).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**3\/2 - 7*d. Let l(t) = -4*t + 19 - 19. Suppose 5*z = -4*m + 60, -m + 37 = 5*z - z. Determine z*k(j) + 5*l(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/10*50\/15. Calculate the common denominator of 37\/6 and (1 + g)*(-158)\/144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - p**3 - 3*p**3 + (-186 + 186 - 77*p)*(-3*p**2 + 5*p**2 + 0*p**2) - p**3 + p**3 - p**3.\nAnswer: -157*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = -0*y. Suppose -n + 6 = y*n. Let z(a) = -2*a - 1 - 5*a**n - 11*a**2 + 11*a**2. What is z(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2815379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*d = -115 + 805 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = j + 4*g - 20, -279 = -3*j - 2*g. Let r = 119 + j. List the prime factors of r.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*x - 86 - 28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77478386?\nAnswer: 2, 191, 202823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**2. Let d(i) = i + 17199 - 17199. What is d(y(s))?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*2*-6 + (-1*sqrt(405) + 0 - sqrt(405))**2.\nAnswer: -108*sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*f + 2410 = -195*f + 30*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i - 8288 = -75*i + 21*i. What is the remainder when i is divided by 131?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 72*a**2 + 234*a + 195. Let i(z) = 71*z**2 + 232*z + 196. Let m be 2 + 3 + -12 + 0 + 3. Let h(p) = m*u(p) + 3*i(p). Suppose h(r) = 0. What is r?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2)**(1\/4)*r**13*(r**(2\/67)\/r)\/r assuming r is positive.\nAnswer: r**(3157\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, f: 3, s: 7}. Give prob of sequence as.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/2 - -1)\/(5\/10). Let i(n) = n**2 + 9*n + 7. Let w be i(y). Suppose 2*h - 327 = -w. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.83, -4466, 0.4.\nAnswer: -4466, 0.4, 1.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r. Suppose -d + 9 = -r. Suppose 5*i - 6 - d = 0. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24150 divided by -6\nAnswer: 4025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1020840 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -128 - 17. Find the second derivative of -j**3 + j**3 - 2*j**3 + o*j**2 + 98*j - 59*j wrt j.\nAnswer: -12*j + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*r + 21, 2*j - 2 = r - 3. Let t be (-198)\/(-56) + -3 + j\/(-7). Which is greater: t or -5\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1933 + -3947\/2. Let v be (21\/6)\/(2*(-2)\/200). Find the common denominator of a and v\/30 - (-3)\/(2 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63736 - 2036?\nAnswer: -65772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*i**2 - 138 + 7 + 36*i**2.\nAnswer: 79*i**2 - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*j**2 + 555*j**2 - 182*j**2 - 8*j**3 + 4 + 5*j**3 - 184*j**2.\nAnswer: -3*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(170) + sqrt(170)) - (sqrt(170) + (sqrt(170) - (sqrt(170) - (sqrt(170) + sqrt(170)*-1 - sqrt(170)))))*-2)\/(6*(sqrt(490) - -3*sqrt(490))).\nAnswer: -sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173837 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3488.384km?\nAnswer: 3488384000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/3871 - -166444\/34839. Let p = 727\/2 + -3719\/10. Calculate the common denominator of w and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 10:20 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101 and 89.5681.\nAnswer: -9046.3781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -4*b, 7*d - 2*d - 4*b = 15. Suppose y = 4*n - 3*y, -d*n + y = -4. Solve -m = -3*r + 11 + 8, 0 = n*r + 4*m + 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(108)*-2)\/sqrt(6))\/(6*2*sqrt(9)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/34 + 10*2\/170?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 8*m**2 - m - 18. What is the remainder when f(-7) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/6 - 71345*p\/3 - 95124 = 0. What is p?\nAnswer: -142686, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and 2240.\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 11. Calculate q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziifijqyjyjziiziiyi. Give prob of sequence jq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3788989 divided by -9?\nAnswer: 3788989\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.28 (b) -3 (c) -962 (d) -1 (e) -191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7257.977 kilometers?\nAnswer: 7257977000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1855005 - 4?\nAnswer: 1855001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85*-810.\nAnswer: 68850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 276753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 7)*(3 + 0 - 4)*(2 - 4 + 3)*(-22*o - 88*o - 7*o)*(-2 + 4 - 3)*(-2*o**2 + 0*o**2 + 0*o**2).\nAnswer: -234*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 922?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19691322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.5, -0.4, 33, -355?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*n + 12, -8*x - 4 = -11*x - n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j + 1. Let b be s(3). Let u = 45 - 36. Let y = u - b. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -403*a**3*f*x**2 - a**3*f - 32*a**3 - 56750*a**2*f*x**2 + 2*a**2*f*x - 8*a**2*f - 419*a*f - 6*x + 1 wrt x?\nAnswer: -806*a**3*f - 113500*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a0a - 4?\nAnswer: a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g - 4*g - 2*g + 2*g + 3*g. Let m(r) = -429*r**2. Calculate l(m(w)).\nAnswer: -429*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/20)\/(-1))\/((-45)\/25)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 6*d**2 + 15*d - 4. Let o be p(-8). Suppose 0 = -3*y + 4*h - 6 + 53, -4*h + 31 = 3*y. Solve o*t + y - 5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/11))\/u*u**1*u*u*u**7*u*u\/(u\/(u**6*u))*u assuming u is positive.\nAnswer: u**(210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 115, 197, 295?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14741 (base 9) in base 13?\nAnswer: -4786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b = 0. Let j be (-1)\/((-1)\/4 - b). Let p be 6*j\/(-18)*1200. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(448)*2 + sqrt(448) + 2 + sqrt(112) + sqrt(7) + 2 + -2*(sqrt(7) + sqrt(14)\/sqrt(2)) + -5 + (sqrt(7) - -1*sqrt(7))))**2 + -1.\nAnswer: -1944*sqrt(7) + 46070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1\/3 (c) -2\/13 (d) 4 (e) -185\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(0 + -2) - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/12240 and -68\/243.\nAnswer: 330480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.18981 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (580\/(-1))\/1. Suppose b = -3*x + 3*d, 385 = -2*x - 0*x + 3*d. Let j = 281 + x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9235649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6) - (-29)\/(-2). Let q = 13 + l. Let z = 0 + 0. Sort q, z, -1 in increasing order.\nAnswer: q, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -1\/60*x**5 + 0*x + 0*x**2 + 1\/720*x**6 + 1\/12*x**4 + 2\/3*x**3 + 2. Let o(s) be the third derivative of y(s). Factor o(z).\nAnswer: (z - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, x: 4, m: 8}. Give prob of sequence mxmm.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-190)\/4) + 27\/76. Let v = -0.21 + 0.71. Which is the smallest value? (a) 3 (b) v (c) o (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 - 1107*f**4 + 69912*f**3 + 7244616*f**2 - 188588880*f + 857037456 = 0. What is f?\nAnswer: -66, 6, 17, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002139 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 356574953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.43 + 0.03. Suppose -2*q - 15 = -w - 6*q, w + 5*q - 20 = 0. What is the nearest to 1 in 0.5, w, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(243))**2 - (sqrt(21)*-4)\/sqrt(7)) + 1*(sqrt(243) - (-1 + sqrt(243)))**2*-6.\nAnswer: -50*sqrt(3) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (12600\/12595 + 3). Let q = 453\/12595 - u. Are q and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 348\/2871*54\/(-12).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0404 + 20.9204. Let b = -21 + i. Let p = b + -0.48. What is p rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11912193, 11912195, 11912195, 11912193?\nAnswer: 11912189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/5040 - w**6\/240 + 7*w**5\/60 + 2*w**2. Let u(j) be the third derivative of b(j). Calculate u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaaaauaaaa. What is prob of sequence uaa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 22 = -14*n. Differentiate 4854*k**3 - 4808*k**3 - 36 - 5*k**n + 5*k**2 wrt k.\nAnswer: 138*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740781347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + (-17 - -17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 272179*l**2 - 2*l + 180114?\nAnswer: 544358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16527 - -82333\/5. Let d = -60 - s. Is -16 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t = 3*z + 7, -3*t + 2*z + 16 = 0. Suppose -t*b = -4 - 4. Suppose -b*o = 5*y - 146, y + 0*o - 29 = -o. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -0.3, -0.8, -6\/13?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -45. Let g = -3.08 + 0.08. What is the nearest to -0.1 in -0.4, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 24*c**2 + 16*c + 96.\nAnswer: -4*(c - 2)*(c + 2)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39\/101 or -1?\nAnswer: 39\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -8 - -6)*1. Suppose -4*d + 8 = -l*d, 0 = -5*c - 4*d + 611. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-76) + (-34)\/323. Solve a = 13*f - 12*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 58 + 15 - 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1937945, 1937949, 1937953, 1937957?\n\"Answer: 4*v + 1937941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 4691298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (0 - 1)) + (-36)\/(-12). Solve -4*r = a*s - 16 - 0, 0 = 5*r - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5229269 rounded to 3 decimal places?\nAnswer: 4.523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9964 - -12586. Which is smaller: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkkkkkkktkkkk. What is prob of sequence tkk?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**5\/9 - 5*k**4\/3 - 257*k**3\/3 + 85*k**2\/9 + 2375*k - 1750 = 0.\nAnswer: -10, -7, 3\/4, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006745?\nAnswer: 5, 227, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 15 = -4*q + q, 4*k = -5*q + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 160*i - 1406. Calculate l(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -237178\/565 or -421?\nAnswer: -237178\/565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 24. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 49, 87, 163, 289, 477, 739, 1087?\n\"Answer: 2*c**3 + c**2 - 5*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720*z = 694*z + 962. Calculate the remainder when z is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47313 is divided by 11818.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k - 3*p + 21, 4*k - 4*p = -8. Sort k, 0, -10.\nAnswer: -10, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 6*h)*(-4 - 10 + 4 - 3).\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -55. Which is the closest to -1? (a) -3.3 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -18*c**2 + 23*c + 8. Let q(k) = 8*k**2 - 12*k - 4. Give 3*m(z) + 5*q(z).\nAnswer: -14*z**2 + 9*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0*k + k)*(k + k - 4*k - 2 + 2 - k + (0 + 2 + 0)*(k + 2*k + 0*k) + 3*k + 0*k + 0*k) + 108 - 108 + 22*k**2 to m*k**2 + f*k + u and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*h\/h**(-7))*h))\/(h**15\/h*h)*(h**(3\/5))**11 assuming h is positive.\nAnswer: h**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3959688 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - 260355?\nAnswer: -260326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22226 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let g = -5076.81 - -5076.91. Which is the biggest value? (a) g (b) -4 (c) 12 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 11:56 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522706 is divided by 261299?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -26. Suppose 0 = -4*c - 2*u + 3 + 19, 5*u = 2*c - h. Suppose -c = 4*r - 10*r. Let s(d) = -6*d**2 - d. Calculate s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*w - 401 - 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 221.6751 - 218.575126. Let f = c + -3.1. What is f rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 30 - 129*b**2 - 100*b**2 - 146*b**2 + 65*b + 335*b**2.\nAnswer: 5*(b - 6)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6275.19 months to decades.\nAnswer: 52.29325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327 + -304. Which is the third biggest value? (a) 0.5 (b) o (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 8*w + 31, -7*g + 6*g - 211*w - 5 = -216*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 3*g**2 + 2*g + 1. Let o be n(-4). Suppose o = 2*u - 115. Suppose u - 8 = 2*z. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.12 + 9.12. Which is the closest to -10? (a) i (b) -0.4 (c) -0.2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from iliiiiiyyyiyiyiiiy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - t = 5 + 3, -4 = -2*c - 5*t. Let v be (242\/5)\/(2\/10). Suppose 3*b + 5*n = v, c*n + 292 = 3*b - 3*n. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6702 to two decimal places.\nAnswer: 1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11120000121020 (base 3) in base 16?\nAnswer: -24f2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 968\/1*4\/(28\/35). Suppose -3*u - c = -14*u. Calculate the highest common divisor of 40 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**12)\/p*p\/((p\/p**9)\/p))**47*(p**(-1\/3)\/(p\/p**0*p))**(1\/2) assuming p is positive.\nAnswer: p**(6197\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + i**2 + i + 1. Let f(x) = 224*x**3 - 96*x**2 - 2*x - 2. Let m(a) = -f(a) - 2*p(a). Find the third derivative of m(k) wrt k.\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 0.2, 0.1, 51?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86491\/18 - -4802. Suppose 2*s = -4*j - 392, -j = -3*s - 0*j - 616. What is the common denominator of (1 + 1)*s\/(-32) and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1143204044?\nAnswer: 1143204044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/213 or -1?\nAnswer: -5\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*o - 4*q, -3*q - 622 + 627 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6970a1 (base 12) to base 14.\nAnswer: 3207b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16825579.\nAnswer: 181, 92959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = 17. Calculate the remainder when 21 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 14 = -23*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 7. Let i = -49.1 + 49. Which is the closest to i? (a) u (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20530 (base 6) in base 16?\nAnswer: -ae6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -9. Let x(v) be the first derivative of 0*v - 2\/45*v**5 + 0*v**2 + 1\/18*v**r + 0*v**3 - 1. Solve x(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 4*v**2 - 5*v + 4. Let a be l(5). Solve a*s - b = -12, 9 = -3*s - 3*b - b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 10 + 35 = 0. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2700*p - 17101 = 3049*p for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 + 19 = 26*h - 35 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3524 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 1 + -3 + 6 + -10 + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 262033515 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 396 - 84. Let z = 23 - -4. What is the remainder when r is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s - 381 = 39. Solve 129*k = 127*k - s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 + 113*m**2 - 87*m + 61. What is n(-30)?\nAnswer: -3629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*j*s**4 - 55*j*s**3 - 850*j*s**2 + 39263*j + 2*s**4 + 871*s**3 wrt s?\nAnswer: 432*j*s - 330*j + 48*s + 5226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-f - f + 7*f)*((3 - 1 + 1)*(3*f - 7*f + 2*f) + 0*f + 0*f + f + (2 + 2 - 7)*(-4*f + f - f) - 2*f + f + 2*f).\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 33*g**3 + 2*g**2 + 5 - 6 - 8*g**3 to x + q*g**3 + b*g + l*g**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*c + 674 - 126 = 26*c, -5*c + 117 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 3454 + 1060 + 10396. What is the highest common divisor of 639 and v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 7*j**2 + 2*j. Let t(r) = 524*r**3 - 7*r**2 + 2*r. Calculate -t(k) + z(k).\nAnswer: -525*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 366043150 divided by -5\nAnswer: -73208630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*z. Solve -5*n - 20 = -2*s + z*s, -2*s = -2*n - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -68340.2.\nAnswer: -273360.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 285435, -2 in increasing order.\nAnswer: -18, -2, 285435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 10. Let u be m(5). Let r = 559\/1239 - 4\/177. What is the smallest value in r, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.43 - 0.03. Let q = -2093.7 + 2096.7. Let f be (-2)\/(((-16)\/(-20))\/(-2)). What is the closest to f in q, y, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**4\/12 + i**3\/3 + 6*i**2. Let g(c) = c + 1. Calculate 8*g(a) - 3*y(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -66, -132, -198?\n\"Answer: -66*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/50)\/(16\/20)*(-8)\/(-43)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4449 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 11:13 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.4 - -12.2. What is the nearest to b in -3, -2\/19, 7, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.029 + 33.029. Let a = l - 33.1. What is the closest to a in -4, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7323.444 millennia to decades.\nAnswer: 732344.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*q - 2 = f, q = 4*f + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -435.6 - -435.66. Which is the second smallest value? (a) 0 (b) 6 (c) -0.2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - -32. Let g(n) = n**3 + n**2 + n + 3. Let p be g(0). Suppose -2*l = p*l - 110. What is the greatest common divisor of l and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295883 + -293807.31. Round u to the nearest ten.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9563884 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 - 134*v + 3. Determine b(19).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 2*w - 7. What is the remainder when 30 is divided by o(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*y + 6*y - 596 + 570)*(-y + 11 - 9 - 1) in the form s + n*y**2 + k*y and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -52, -22 in decreasing order.\nAnswer: 21, -22, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 33 + 33 - 40*g + 26*g + 18*g + 11. Let p(b) = -6*b. Give p(q(x)).\nAnswer: -24*x - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*s = -55*s + 2291166. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244978679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-53010)\/3100*(-2)\/102 and 19\/390.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6189*h**3 + 3*h**2 + 3148*h**3 + 3108*h**3.\nAnswer: 67*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 45250.\nAnswer: 407250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120122223 + -1201?\nAnswer: 120121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484.287 decades in centuries?\nAnswer: 248.4287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 13 = 5*y - 2, -3*y - 15 = -3*f. Let o = f + -11. Let m(p) = p + 19. What is the least common multiple of 6 and m(o)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 55 = -f - 40 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 17. Give t(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 4:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -905\/126734?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from {l: 6, o: 1, e: 12}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/6 in 84, 14, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8619750 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*s + 2*k - 8 = 0, -5*s = 4*k - 19. Solve -17 = -5*r + 3, 5*r - 8 = s*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 8*s + 8. Let l(v) = -4*v**2 - 9*v - 9. Let h(k) = 4*l(k) + 5*w(k). Calculate h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2 - 553*a + 533.\nAnswer: 4*a - 553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:05 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*p - 132800 = 2409*p + 714*p for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21694 divided by -7?\nAnswer: 21694\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 78, -2\/51821, -2?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87901 is divided by 214.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 0)\/(2\/(-8)). Let f(q) be the first derivative of -2*q**3\/3 + q**2 + 7*q + 30. Let r be f(3). Sort r, 0, g in decreasing order.\nAnswer: 0, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0, -0.48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Let v(f) = -5*f - 5. Let r be v(-4). Suppose -5*u + r = -10*u. Which is the nearest to u? (a) 5 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663354 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(24*-1)*6. Suppose -3*u + 3 = 0, w + 3*u + p = 2*w. What is the third derivative of 4*a**2 - a**2 - 34*a**w + 36*a**4 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30619615 to the power of 1\/2, to the nearest integer?\nAnswer: 5533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 - 302*p**2 - 399*p**2 - p**2 + 4 - 4 + (-p**2 + 4*p**2 - 2*p**2)*(0 + 1 - 3) as d*p + j + x*p**2 and give x.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.2 and 0.5.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263035?\nAnswer: 5, 252607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 + 3*s - 2. Let p(u) = 24*u**2 + 8*u - 5. Determine 11*f(m) - 4*p(m).\nAnswer: -8*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -18*o - 4. What is the remainder when d(-4) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0549*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -9*j**3\/2 + 2119*j**2 + 471*j\/2 = 0.\nAnswer: -1\/9, 0, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 62*u\/5.\nAnswer: 2*u*(u - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -682\/3199 - 1\/914. Let a = 50157\/14 + -3580. What is the common denominator of a and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371115, -2969045, -10020569, -23752485, -46391591, -80164685, -127298565, -190020029?\nAnswer: -270555875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57, 191, 519, 1137, 2141, 3627, 5691, 8429?\n\"Answer: 16*t**3 + t**2 + 19*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + g**2 - g - 1. Let u(o) = 9*o**3 - 10*o**2 + 10*o + 7. What is 22*j(w) + 2*u(w)?\nAnswer: -4*w**3 + 2*w**2 - 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*a + 3)*(-2 + 2 + 2*a)*(a + a - 3*a**2 + a**2).\nAnswer: 8*a**4 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 + 15*z**4 - 15*z**3 - 35*z**2 + 30*z.\nAnswer: 5*z*(z - 1)**2*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6320143 to the nearest integer?\nAnswer: 2514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {b: 9, o: 6, w: 1, u: 2, i: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (-13 + (30 - 10) + -5 - 1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59, 226, 477, 800, 1183, 1614, 2081?\n\"Answer: -2*m**3 + 54*m**2 + 19*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -2*z**6\/27 + 4*z**5\/45 + z**4\/9 - 4*z**3\/27 - 38. Factor c(g).\nAnswer: -4*g**2*(g - 1)**2*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18 - -4 - (4 + 210). Is t greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from jjtdjjkjjttj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, s: 5}. What is prob of picking 2 s and 2 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 755363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (-4)\/6 + (-132)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*b - 260*b + 2331*b**3 - 2375*b**3 + 126*b.\nAnswer: -44*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 6*q**2 + 5*q - 9. Let j be x(-7). Suppose 0 = -4*w - 2*h + 6*h + 140, 3*w - j*h - 113 = 0. What is the remainder when 61 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + t)*(3*t - t - t)*(-8 - 3 - 4)*(-2*t - t + 0*t).\nAnswer: -45*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16306800 divided by 27178\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164 - 1104642?\nAnswer: -1104445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**2*s**5 + 177*j**2*s**2 + 2*j*s**6 + s**3 wrt s?\nAnswer: 240*j**2*s**2 + 240*j*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6792*a - 6787*a - 2 - 5*a**4 + 0 - 2*a**3 wrt a?\nAnswer: -60*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 4*m**3 - 35*m + 20*m**2 - 36*m - 2*m**4 + 73*m - 1 to z*m**2 + g*m**4 + x*m + n*m**3 + p and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3854177805 - 3854177767.00000058. Let m = v + -38. What is m rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.352?\nAnswer: -1.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 29, -0.2, 5\/26031, 3\/4.\nAnswer: -0.2, 5\/26031, 2\/7, 3\/4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*j + 48. Let v = -15 - -19. Suppose -52 = -y + w, -v*y = 5*w - 234 + 62. What is the highest common factor of y and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33850.8 rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*4\/(-16)*(2 - 0). What is the tens digit of 3\/(-1) + 352\/((-12)\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 133*t - 56. Let n(m) = -200*m - 5 - 205*m - 207*m + 624*m. Suppose 6 + 34 = -8*k. Calculate k*i(g) + 56*n(g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -48800 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.6758 millennia in months?\nAnswer: 1724109.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -5, 1.1, -2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from gzxxgzgggrgzxzrgrr.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Let u(o) be the third derivative of -o**5\/60 - 4*o**2. Determine p(u(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -24. Suppose -9*l - 3 = -w*l. What is the remainder when 1 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1377 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -484.\nAnswer: -483.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 513, 2027, 4543, 8055, 12557, 18043, 24507?\nAnswer: 31943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/1411 and 43\/11.\nAnswer: 15521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*w - 0*w, -2*t = -5*w - 16. Let v(c) be the first derivative of -c**4\/4 + 2*c**3\/3 + 3*c**2\/2 - 4*c + 3. Calculate v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**7\/490 + w**6\/280 + 4*w**5\/35 + 5*w**4\/14 + 198*w**2. Suppose d(k) = 0. Calculate k.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 124978744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/((-1)\/(-3)). Let g(c) = c + 1. Let n(a) = 5*a**2 - a - 19. Let w(t) = 2*t**2 - t - 9. Let q(l) = 4*n(l) - 9*w(l). Calculate i*q(u) + 5*g(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.039 * -0.3.\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-3)*h*h)*h))\/h**(-6))**(-1\/68) assuming h is positive.\nAnswer: h**(-1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -828 + 835. Let y = -5 + 2. Calculate the smallest common multiple of o and y\/(27\/30)*-3.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = o - 3*k, -36 = -2*o - 2*k. Suppose 2*t = -x + 2, 6*t = 3*t + 5*x + o. What is the nearest to 1\/4 in t, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6399967 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8.2 (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 2 + 3 + 0. Suppose 0 = -2*y + b + 13. Suppose 4*t = 49 + y. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 16. Suppose -3*b - 1 - m = -5*h, -3*b = 2*h - 15. Find j such that -2*j + j**2 - 4*j + j**b + 5*j - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 644 + 311. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/6)\/(((-8)\/(-4))\/10)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + 12 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4990\/125 - (-6)\/75. Suppose -i*t + 132923 + 209517 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3675*j + 20240. Calculate g(-6).\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.435 + -0.52. Let d = -37.085 - f. Which is the closest to -1? (a) -0.2 (b) 3\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-3\/2))\/x)\/(x\/((x*x\/(x*x*x**(-5)))\/x)*x))\/(x\/(x*x\/(x*x*x**(-2\/9)\/x*x)*x*x))**(21\/2) assuming x is positive.\nAnswer: x**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -188, -322, -490, -698, -952?\nAnswer: -1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 55181?\nAnswer: 55183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21430, 42856, 64280, 85702?\n\"Answer: -x**2 + 21429*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**8\/420 - 5*m**4\/3 - 8*m**3\/3 + 23. Let o(u) be the third derivative of l(u). What is the first derivative of o(v) wrt v?\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 3140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 3*n - n - 1)*(-11 + 11 - 10*n).\nAnswer: -20*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 6) in base 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 40846.7m?\nAnswer: 40846700000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfukfuuuqfuudududqn. What is prob of picking 1 u and 1 f?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 967261.95 to the nearest one thousand.\nAnswer: 967000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 2314*c**3 + c**4 + 1 - 12*c - 11*c + 2315*c**3 - 4627*c**3 to y*c**4 + b*c**3 + t*c**2 + v*c + p and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.4 (c) 6.753 (d) 0 (e) -0.022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -654*((-20)\/(-45) + (-40)\/36). Calculate the highest common factor of l and 1635.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 + 123. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -259353.7?\nAnswer: -259353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -295*g + 46944. Calculate r(158).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 209 - 207. Suppose x*m = -s + 1, 0 = m - 3*s - 9 + 5. Suppose 0 = 4*n - 1 - 3. What is the greatest common divisor of n and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*f, 3*f = -r + f + 29. What is the greatest common factor of r and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97*z**3 + 2*z**2 - 482.\nAnswer: -291*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzqbbgqngbq. What is prob of sequence zgq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, and 1 x when three letters picked without replacement from {m: 3, f: 4, b: 5, o: 1, x: 2, n: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/5*(-4)\/(-42)*(-13650)\/(-630)?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -429 times -1.2?\nAnswer: 514.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iizp when four letters picked without replacement from ppdiddzidpiid.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.14 + -35.4. Let h = w + 0.26. Let r = -0.2 - 0. Which is the biggest value? (a) r (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(6480) - (sqrt(6480) + -2 + sqrt(6480) + 1)**2).\nAnswer: -25926 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from wrcmuwuurrrwgwwwrr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 2*b + 4357 = 0, 4*b + 1259 = 2*j + 37. Calculate the least common multiple of 69 and j.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 - 2*d**2 - 2*d + 30. Let y(n) = -3*n - 41*n**2 + 30 - 4535*n**3 + 83*n**2 + 4540*n**3 - 45*n**2. Give -3*k(g) + 2*y(g).\nAnswer: -2*g**3 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 - 69*u**2 - 204*u - 948\/7.\nAnswer: -3*(u + 1)*(u + 2)*(u + 158)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/7 and -155 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -12101012?\nAnswer: -12100312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. Suppose 0*p - o*p + 8 = 0. Is (1\/p)\/(4\/48) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021020110002 + 21?\nAnswer: -1021020102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34038)\/(-1209) - (-15)\/((-210)\/392).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {k: 1, q: 1, g: 1, n: 4, r: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 8*f - 6. Let h be c(11). Suppose h*r = 20*r + 252. Find the common denominator of r\/(-3) + 4\/1 and -17\/19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*7\/((-1260)\/(-72))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*d*w**3 - 2878*d - 430*w**2 wrt w?\nAnswer: 18*d*w**2 - 860*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4875745 and 5145?\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -40. Let f(r) = -r - 6. Give f(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1811.\nAnswer: -362.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253776603.\nAnswer: 3, 84592201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000623161486 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*m = -46*m - 3382. Calculate the remainder when m is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.4 + 17. Which is the closest to 2? (a) f (b) -2\/23 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a minute in milliseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/70127047 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000109362 rounded to 7 dps?\nAnswer: 0.0001094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0 + 31*q**2 + 0*q - 1\/24*q**4 - 7\/3*q**3. Give s(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + 9. Let c be (35\/u)\/(18\/(-8)) - -1. What is the fourth smallest value in 2\/5, 1, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 3\/(-21)*4. Let w = 805.3 + -805. Which is the second smallest value? (a) r (b) w (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {d: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 404988?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) + 1) + sqrt(24)\/(sqrt(48)\/sqrt(4)))**2.\nAnswer: 12*sqrt(2) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 21. Which is bigger: m or -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.34816 - -1.35. What is b rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 37 + 0 + (-54)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m - 4*m + 2*m + 16*m - 26*m - 14*m + (-m + 0 + 0)*(-2 - 1 + 7) as v + u*m and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6354 - 15?\nAnswer: 633a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 345*v**2 + 181*v - 4917. Calculate u(173).\nAnswer: -3533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 3406 - 3406.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/2 - 4)*(-2)\/(-9). Sort 2, 1\/8, o in decreasing order.\nAnswer: 2, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 1. Let o be t(2). Let d be (-14)\/(-8) - o\/(-4). Factor -10*f**3 - 15\/2*f - 1 - 33\/2*f**d.\nAnswer: -(f + 1)*(4*f + 1)*(5*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 v when four letters picked without replacement from tvvukste.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -8, -32, 0.81, 2, 0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15837, 15854, 15881, 15924, 15989, 16082?\n\"Answer: l**3 - l**2 + 13*l + 15824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 17*k**2 - 6*k + 2. Let w(j) = 7*j**2 - 416*j + 597. Let z be w(58). Calculate x(z).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -35. Let f(x) = -x**2 - 13*x - 34. Let o be f(r). Calculate the remainder when 80 is divided by (-5208)\/(-196) - o\/(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 3, l: 1, k: 7, h: 5}. What is prob of sequence ghlg?\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**1)**(9\/4)\/(r**(-1\/4)*r*r*r**1) assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56138 + 4547243\/81. What is the common denominator of -53\/2 and d?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2965 and -2957 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -16\/375, -2, -0.3, 5\/6?\nAnswer: -16\/375","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 5*h**3 - 4*h - 4*h**3 + h**2 + 5*h to the form r*h**3 + v*h**2 + q*h + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5\/2 + 9*t**4\/8 + 15*t**3\/8 - 9*t**2\/8 - 3*t\/8 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqj when three letters picked without replacement from qqqqqqqqqqjqqqqjqq.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(sqrt(5) - -2*sqrt(20) - sqrt(5)))**2 + -2.\nAnswer: 96*sqrt(5) + 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6239, -12374, -18423, -24386?\n\"Answer: 43*z**2 - 6264*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 6*j**2 - 4*j + 4. Suppose -2*b = -6*b - 5*d - 40, 4*b - 2*d = -12. Let u be r(b). Is u at least -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 0*x + 0*x - 4*x - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -2\/3 (c) -2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1997 (base 11) to base 15\nAnswer: b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 9*u + 11. Let r(c) = 8*c**3 - c**2 + 3. Let o be r(2). Suppose o = 8*l - 137. Let f = l + -17. Determine m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 1 = -154*x + 1. Suppose -3\/5*r**3 + x + 0*r + 3\/5*r**2 = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72844*p**2 + 78*p + 13525299?\nAnswer: 145688*p + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 10:23 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 410 and 186058?\nAnswer: 930290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5136 and 9498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*j + 8 = 0, 0*s = 4*s - 3*j - 7. Suppose -5*a - s*d = 241, 4*a + 5*d = -105 - 86. Let p = a - -90. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392798353.\nAnswer: 392798353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-8)\/30)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2437 and 0.1.\nAnswer: -2436.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-9)\/6*520\/(-156)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 5, l: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32009 divided by -1785.\nAnswer: -32009\/1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 12. Let n(j) = -12*j**3 - j - 1. Let v be n(-1). Suppose -v + 44 = -4*o. Let i be k(o). Solve -f = i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 3. Let j(p) = -p**2 - p - 17. Let q(m) = 4*m**2 + 4*m + 52. Let n(v) = -7*j(v) - 2*q(v). What is the lowest common multiple of n(i) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 177*h - 20. Let c(x) = 442*x - 52. Let k(f) = -5*c(f) + 13*r(f). Let t(p) = -6*p. Give k(t(d)).\nAnswer: -546*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/885477 and 115\/1878.\nAnswer: 1770954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -229 - 274 - s**2 + 508 + s. Let o(z) = -z + 1. What is k(q) + 3*o(q)?\nAnswer: -q**2 - 2*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -1165695.2.\nAnswer: 1165694.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6734 (base 9) in base 10?\nAnswer: -4972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:57 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/2 (b) -2101 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/2, 0.08, -3, 6.8, -1\/7 in ascending order.\nAnswer: -3, -1\/7, 0.08, 9\/2, 6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 7:10 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -1015\/108?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5480000 to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxmrxxmrxmx. Give prob of picking 1 m and 1 x.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxxznxxzxzzx. What is prob of picking 1 z and 2 x?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m**5\/4 - 3629*m**4 + 2371281*m**3\/2 + 7651692*m**2 + 54019251*m\/4 + 3956121 = 0.\nAnswer: -3, -4\/11, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519367, 1038652, 1557941, 2077234?\nAnswer: 2596531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*c + 9, 23 = 12*c - 11*c - 5*s. Let i be (1*3\/(-5))\/(c\/10). Solve -2*d - 34 = 3*d + i*v, 4*d + v + 23 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 187050*i. Let w(d) = 2*d + 30. What is w(n(u))?\nAnswer: 374100*u + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-10 - -31) - (15 + -14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 185 = 363. Suppose -2 - 6 = -4*w, -2*w + l = 5*k. Is k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 4\/(-12))*15. Let g = -18 - t. Let y be 3\/(-6*(-2)\/88). Calculate the highest common factor of g and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3102 + 227*x - 202*x + 6231 - 3103.\nAnswer: 25*x + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 8 = 4*j, -j + 4613 = 3*q. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 18*m**2 + 17*m - 8. Let a be f(8). Let i = 14 + -24. Let k = i - -8. What is the second biggest value in k, 4\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 333 + -304. Suppose 47 - w = 2*g. Solve -d - 14 = -g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + 0*q**5 + 5*q**5 + (-4*q + q + 5*q + (5 - 4 - 3)*(0 - 2*q + 0) - 7*q + 5*q + 6 - 3)*(0*q**4 + 2*q**4 + 0*q**4).\nAnswer: 9*q**5 + 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24606 is divided by 174?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)*(n\/(n\/n**(-14)))\/n*n*n\/(n**(-2\/97)\/n)*(n**(1\/7)\/n)\/n assuming n is positive.\nAnswer: n**(-10074\/679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 1 = 2*f - 7, 0 = 4*o - f - 10. Suppose 5*v - 5 = 0, 2*s + 2*s + 4 = -4*v. Is s*1\/o*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 47. Let h = 6 + -2. What is the nearest to h in m, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuwupuwpuphuu. Give prob of sequence uuw.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -272, -381, -508, -659, -840?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 0 + 1\/1)\/1. Suppose -5*y - 10 = -x*s, -y + 8 = 3*s - 10. Solve -4*p - a + 2 = -0*p, 3*p + s = -4*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8140002 divided by -6\nAnswer: -1356667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29108497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17.2129932 and -3.\nAnswer: 51.6389796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 10:34 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - 56. What is the nearest to 1\/3 in 5\/7, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5780324413.\nAnswer: 137, 42192149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -6)*10\/(-25). Suppose 0 = k*s - 3*s. Suppose g - 3*g + 20 = s. Calculate the greatest common factor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 597 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9000605 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17436509.\nAnswer: 17, 19, 37, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -3*c - 84. Suppose g + 5 - c = 0. Let n = g - 14. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m - 67. Calculate the remainder when 89 is divided by v(-16).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6142, -12201, -18186, -24085, -29886?\n\"Answer: 2*w**3 + 25*w**2 - 6148*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -t - 4*w, 3*t - 2 = 5*w + 1. Is 9 a factor of 122 - ((-8)\/12)\/(1\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 11:12 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-76)\/(-20) - 3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137 + 100?\nAnswer: 100.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -24\/7*s**2 + 0 + 6\/7*s**5 + 24\/7*s**4 + 18\/7*s**3 - 24\/7*s = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7442, 14942, 22442, 29942, 37442?\n\"Answer: 7500*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 84790 to the nearest one thousand.\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/9))**41\/(t**(-17)\/(t\/(t*t*t\/(t\/(((t**(3\/4)*t*t)\/t)\/t*t*t))))) assuming t is positive.\nAnswer: t**(1625\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 2*d + 5*z, -24 = -4*d + 5*z. Solve 5*t = -2*a - 6, -2*a + 4*a = t - d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-548)\/(-280) - (-12)\/120\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 87 + 352*n - 260 + 81.\nAnswer: 352*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9790762?\nAnswer: 2, 173, 28297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*g**2 - 99*g**2 + 14 + 48*g**2 to the form j*g + d*g**2 + s and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 + -205 - (13 - 64)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 140 - 192 - 600560\/(-11550) - (-2)\/33\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {p: 3, c: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 217 - 217 - k**2 - 4*k**4 + (-5*k**2 + 2*k**2 + 2*k**2)*(-3*k + 3*k - 2*k**2).\nAnswer: -2*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwhhwwhhwwwx. What is prob of picking 1 w and 2 x?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1564*s**3 + 2*s**2 + 3135*s**3 - 273*s - 1667*s**3 wrt s?\nAnswer: -576*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:43 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1378 - -2272. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 28 = -5*q, -170*q + 13*u = -173*q - 54 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1839731 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = t, -4*l + 6 = 3*t - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17785, -142273, -480177, -1138207, -2223073, -3841485, -6100153, -9105787?\n\"Answer: -17785*v**3 + 2*v**2 + v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/3*(2 - 0). Let f be -1 + (0 - l) - -5. Let c(m) = -m**2 - 5*m + 4. Let o(j) = 6*j**2 + 24*j - 18. Let p(w) = 11*c(w) + 2*o(w). Give p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*p - 20, -3*p - 6*m - 22 = -2*m. Let b be (3 - -2) + (p - 0). Solve -a + b*v = -3*a - 4, 0 = 2*a - v + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d**(-1\/5))**(-4\/11) assuming d is positive.\nAnswer: d**(4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - j + 19*j**2 - 41*j**2.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 2. What is o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/25 and 58\/22075.\nAnswer: 22075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4076*a = -4080*a + 22760. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1885 and 429?\nAnswer: 62205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11584 by 4.\nAnswer: -2896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:22 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*3)**2 + -3.\nAnswer: 12390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/6 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -29622 (b) -7.5 (c) -1\/8 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**3 + 5*m**2 + 3*m + 3. Let j(s) = s**3 + s**2 + s + 1. Let c(i) = -9*j(i) + 2*n(i). Let k be c(3). Let x = k - -61. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/1939 - -3842\/17451. Which is the closest to 1? (a) 126 (b) -1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47922726637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -5013, -5, -3, -0.4.\nAnswer: -5013, -5, -3, -0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 3218 (b) 1\/2 (c) 2\/7 (d) -3 (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13908, 14099, 14290, 14481, 14672, 14863?\n\"Answer: 191*x + 13717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -725.0794 - -0.0794. Let t = 730 + i. Let m = -249\/5 + 50. What is the third smallest value in -1\/3, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - a = -13, -5*a = -2*h - 0*a + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*m = -710*m + 3*q - 6, 7*m - 25 = 4*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -720 + 60*z + z**2 + 720 + ((-1 - 1 + 0)*(2 - 2 + 2*z) + 2 - 2 - 2*z - 4*z + z + 5*z)*(-17 + 17 - 7*z).\nAnswer: 29*z**2 + 60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d**4 + 3215*d**3 - 2*d**2 + 20585970*d.\nAnswer: 120*d**2 + 19290*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1076175050?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8896 is divided by 988.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (3295006\/(-104))\/(-41) + (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -187*d**2 + 26*d**2 + 6*d**2 as y*d**2 + i*d + k and give y.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oho when three letters picked without replacement from {o: 15, h: 4}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -2 + 14)*(4 + -1). Suppose -12 = -3*n + 4*y, 4*n - 12 = y + 3*y. Suppose n = -60*m + o*m + 483. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008241 rounded to 7 dps?\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7077 - -40618. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 23*d = 28. Let l be 33 + 7\/(2 - d). Solve -3*n = 5*n - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + l = -2*q + 677, -1017 = -3*q - 3*l. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 2*q + 5. Let j be u(-4). Suppose -1008*n = 1811*n - 1834 - 3804. What is the nearest to n in 0.4, -3, j, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -367d - 2?\nAnswer: -3681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4026366 divided by -3477?\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 931551267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.6, -2, -0.3, 0.1, 4 in decreasing order.\nAnswer: 4, 0.2, 0.1, -0.3, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.3 + -0.3. Let y = 186.9 + -199. Let q = y - -12. Is x less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 + k - k)*(k - 3 + 3) + k**3 + k**3 + 0*k**3 + (736*k + 945 - 945)*(-3*k**2 - k**2 + 2*k**2) as w*k + h + g*k**3 + r*k**2 and give g.\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354769.\nAnswer: 149, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**2*q*v - 21*m**2 - m*q - 2*q + 991672*v + 3466 wrt v?\nAnswer: -m**2*q + 991672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 30*p**2 - 5 + 8*p**2.\nAnswer: -22*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455305782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 75383*j - 678147. Determine y(9).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46665818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -8 (c) -1206 (d) 1 (e) 1.3 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 29*c - 6. Let z(q) = 2378*q - 493. Let y(s) = -493*l(s) + 6*z(s). Let b(f) = f. Calculate b(y(h)).\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*1)\/sqrt(11).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 0. Suppose 1 = 5*n - v. Let w = 0.8 + -0.5. Put -0.1, w, n in increasing order.\nAnswer: -0.1, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g. Let z be (-1 + 0)\/(g - -1). Let s be 5*(-2)\/(-15)*z. Which is greater: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564608 divided by 2.\nAnswer: 282304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1157 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-637)\/(-6370)*(-2)\/17)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 6 = -4*u - n, u = -n + 7. Let q(f) = -f**2 + 4*f + 21. Let l be q(7). Solve u*r - 3*r + 5 = l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10133718.\nAnswer: 2, 3, 7, 89, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00975708 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 6 + 5)*(2*s**2 - 7*s**2 + 3*s**2)*(3*s - 5*s - 3*s) in the form y*s**3 + m*s + z + k*s**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -428, -2, -5 in descending order.\nAnswer: 0, -2, -5, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-4) + 141\/132. What is the closest to -3 in -0.3, -3\/7, f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128948430 and 82290.\nAnswer: 128948430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.108\nAnswer: -0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*(234\/(-234))\/(1\/11)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2 - 21*r - 30 = 0. What is r?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**11*x**(-2\/25)*x**(1\/2) assuming x is positive.\nAnswer: x**(2221\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 129 = -9. Let b = i + 33. What is the second derivative of -b*w + 23*w**4 - 8*w - 2*w**4 + 13*w**4 wrt w?\nAnswer: 408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3*h = 70, 15*n - 15*n = -0*n + 2*n + 5*h - 112 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(-6 - 6615\/(-784)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzwwzzz. What is prob of sequence wzz?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17a87 - 4?\nAnswer: 17a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 1016*x - 246856. What is k(402)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 24 + 24 - g**2. Let d(h) = -4*h**2 + 9*h + 4. Let m(s) = -d(s) + 5*y(s). What is the units digit of m(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {o: 4, l: 2, q: 1, v: 5, p: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -21*j - 236. Calculate u(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -543 + 533. Let k(w) = w**3 + 11*w**2 + 12*w + 26. Calculate k(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - z + 7*z - 15*z + 153075 - 153083.\nAnswer: -2*z - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - g + 29 = 3*g, -5*g = -4*b + 53. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2*17\/(-2))\/(-1) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3200)*2 - -1*sqrt(2450).\nAnswer: 115*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136322465 - -136267759.9972. Let b = j - -54720. Let c = -15 + b. Round c to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(120\/(-13885)))\/(-5). Let z = r - 260\/3. Find the common denominator of z and -47\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 143. Let l = v + 72. What is l rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2556 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25428814.\nAnswer: 2, 281, 45247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, and 2 k when four letters picked without replacement from zkzkzjzzdxjz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*s*x**4 + 20017*s*x**2 + 3*s*x - 1111*x**5 + 2*x**3 wrt x?\nAnswer: 1344*s*x - 66660*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let z be c(0). Suppose -j = z - 4. Suppose 18 = j*t - t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 5. Let r be m(3). Suppose 9 = r*v - 7. Solve -p - 4*z = -v*p, -5*z = 2*p - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/60)\/(36\/10). Let p be 3\/(-9)*2\/(-3). Let c = p + z. What is the closest to c in -0.4, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 4*v**2 - 5*v - 15. Let p be f(-4). Suppose -7*s + p*r + 225 = -2*s, -4*s = 2*r - 174. Calculate the smallest common multiple of 32 and s.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -15 + 9 - 18 - 22*p**2. Let h(o) = -o**2. Give h(j(z)).\nAnswer: -1936*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1824 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*g + 455*g = 895*g + 495 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-486540)\/(-23850))\/((-30)\/(-25)*(-1)\/3)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 4:51 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 175\/55 - 2\/11. Suppose 3*i + h*m = 8*i + 12, -3*i - 20 = -5*m. Suppose -2*f - 5*z + 12 = 0, -f - 5 = -i*f - 3*z. Which is greater: -0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*d + 22. Let w = -3 + -8. Let r = w + 16. Solve 0*i = r*i - d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -117*a + 99. Let u be h(19). Let x = 4069 + u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 5 (c) -0.027 (d) -345 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 + -574 - (-6 + -74).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2016 divided by -48\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let b(w) = -15*w**3 - 4*w**2. Let h be -19 + (-1632)\/(-85) - 8\/(-10). What is h*b(x) + 4*j(x)?\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 415 divide 11288830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 1. Let u(t) = -10*t - 8. Suppose l = 24 - 25. Let n = -16 - -8. Let x(y) = l*u(y) + n*b(y). Let j(f) = -14*f. Calculate x(j(o)).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 6:51 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**2*y**2 - 9*l**2*y - l**2 - 819*l*y**2 - 2339*l*y - 362*y**2 - 221*y - 1 wrt y.\nAnswer: 10*l**2 - 1638*l - 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3162630 and 940?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = k - 4*k + 43, 2*q + 4*k + 38 = 0. List the prime factors of q\/77 - (-379)\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 16, 0.3, -2, -5.\nAnswer: -5, -2, 2\/9, 0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1729 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8810 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -65. Which is the closest to 1? (a) 3 (b) m (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 963.7801 decades?\nAnswer: 96.37801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - j**2 + 3*j + 2. Suppose 0*k + s = -2*k - 9, 3*s + 9 = 0. Let x be i(k). Let h = x - 11. Solve h = -z + 6*z - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 10*n**2 - 46*n + 806. Determine z(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 356 = -532. Suppose 19*d - p*d + 4*b = -32, 12 = 3*b. Calculate the greatest common factor of d and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/13328 and 181\/202776?\nAnswer: 2838864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + 1?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, n: 1, w: 1, i: 2, r: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 2, m: 9, h: 1}. Give prob of picking 1 h and 2 v.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*f - 75*f = 2047. What is the remainder when f is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 597837710 to the nearest 1000000.\nAnswer: 598000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50.5 + -50.2. Let h = -0.06 + -3.94. Which is the closest to h? (a) -1\/3 (b) g (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbyyajybbbxr. What is prob of picking 3 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1020 = 25*l + 395 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w + 4*b + 3147 - 3173, w + 2*b - 7 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*t - 2773 = 962. Solve -10*a - t = -p - 5*a, 2*a = -11*p - 63 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342 (base 5) in base 9?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-720)\/640)\/((-1)\/(-36)) + (-136)\/(-16) + -7\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - o**2 - 3*o - 3. Let q(d) = -d**3 + d + 1. Let y(f) = -i(f) - 2*q(f). Let z be y(2). Which is smaller: -15\/8 or z?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-404)\/(-28) + -14 - ((-2465156)\/14 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*d**3 - 25*d**2 - 25*d**2 - 2*d**2 + 3*d + 52*d**2 + 9 to the form i*d**2 + u*d**3 + n + v*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11 + -2 + (-1 - -55) + (-713 - -716).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 78 = -5*b. Let m be (-1)\/4 + b\/(-12). Let r = 1 - m. Is r less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 1 + h**2 - 13*h**2 - 1 - 4*h**3 to g*h**2 + d + r*h**3 + o*h and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 170776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58858?\nAnswer: 2, 29429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22295 and 15782?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 288 = -310 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -5*s**2 + 9*s - 24. Is i(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 2:53 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/(26\/(-507))*((-1560)\/39)\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -33*k + 55*k + 127 - 20*k - 53 + 80. Let s(b) = 4*b. Give f(s(v)).\nAnswer: 8*v + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-284)\/(-16) + 2 + 3\/12. Solve 3*g = 8*g + 5*u + 20, 5*g - 5*u - h = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -15154 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 15 = -10*v. Suppose 2*i - v = 3*i, 4*j + 3*i = 3. Factor 6*x - 7*x + 3*x**2 + j*x**2 + 0*x**2.\nAnswer: x*(6*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:38 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -23. Let v(i) = -i - 7. Let w be v(n). Let k = w + 37. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7130.873 hours in microseconds?\nAnswer: 25671142800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1248*s - 537*s**2 + 1068*s**2 - 1248*s - 530*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 2*y**2 - 4546. Let v(u) = 14*u**2 + 6. Let w(g) = 29*g**2 + 13. Let s(z) = 13*v(z) - 6*w(z). Give s(f(c)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 10*f + 64. Determine u(15).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 2*f.\nAnswer: 2*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, r: 4}. What is prob of picking 1 h and 1 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 2)*357\/68*(-29)\/(-87)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 0, 841458?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(5250\/(-25))*-39)\/((-5)\/140*-2)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30874968?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 2) to base 14\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -7 - (-21 + -51 + 20)) + -12\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-8)\/(-24))\/(18\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 10*u + 216. Let s = u - 9. Calculate the greatest common divisor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 2190214899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(-11 - (-2187)\/198). Which is bigger: -78\/7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 8*y**2 + 11*y + 2. Let x be u(9). Solve x = 5*n - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 88146444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 60521?\nAnswer: -60513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28366 - -44699. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6)\/p*p**7)\/(p**(-4))**(-2\/3) assuming p is positive.\nAnswer: p**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1330\/28)\/(15*(-14)\/84).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 - -299. Suppose -b*r + 360 = 17*r. Solve -26 + r = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 23 + -52 + 31 + 30 + -1 + -1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 2*i - 21*i**2 - 4*i + 7*i**2.\nAnswer: -14*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16336059277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*i + 2*i - i)*(0*i + 2*i + 0*i)*(-i - i + 5*i).\nAnswer: -30*i**3 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 + (-96)\/66. Let m = a + -1\/22. Solve 0 - 3\/2*o**4 + m*o**2 + 0*o**3 + 0*o - o**5 = 0 for o.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/572 and -59\/40.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -151a06 (base 11) to base 9\nAnswer: -400744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 - -207) + 10\/(-2). Let b = d + 448. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l**2 + 5*l**2 - 10*l**2. Let h(r) = 0*r + 4*r**2 + 0*r. Give a(h(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-88660)\/950)\/(96\/(-50780)). Let b = f - 49366. Calculate the common denominator of -47\/2 and b.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/35 + 46\/28.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11))**(-1\/27)*(d**1)**(-1) assuming d is positive.\nAnswer: d**(-16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 987*t**2 - 33*t + 251. Is p(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6121 and 0.2?\nAnswer: 6121.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644931.4 grams to milligrams.\nAnswer: 644931400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 5, 647.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*k + 27, -b - 8 + 2 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (98\/3)\/(8\/48). Let y = v - 79. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**3 + 2*w**2 + 5*w**3 - 2*w**2.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (sqrt(168) - -2*sqrt(168))\/sqrt(4))\/(-2*sqrt(54)\/sqrt(9)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 153*p**2 + 482*p - 21. Calculate n(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 143044, -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123349*-5.\nAnswer: -616745","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 2*g - 2*g + (0*g + 0*g - 4*g**2)*(-3 + 5 - 3) to the form u*g + b*g**2 + y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + n. Let k(o) = -2*o**3 + 8*o**2 - 4*o - 3. Determine -6*j(m) - k(m).\nAnswer: 2*m**3 - 2*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = -11*z - 36. Suppose 5*g + 5*w + z = 6*g, 5*g - 15 = 4*w. Factor 24\/11*t**2 - 6\/11*t - 4\/11 - 14\/11*t**g.\nAnswer: -2*(t - 1)**2*(7*t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**6\/120 - j**5\/12 + j**3 - 5*j**2. Let x be y(-5). Let w(m) = -m**2 + 6*m - 1. Calculate w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-11)\/3432 + -1 + 1). What is the units digit of 1352\/s*546\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 757162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*(102\/(-6))\/(-34)*-2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 k, 1 i, and 1 p when four letters picked without replacement from rllikrrprlkm?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - 8610157214381.\nAnswer: -8610157214381.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 39 - 21 = -3*b, -3*b + 63 = 4*r. Calculate the smallest common multiple of b and 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247284030*q*s**2 + 216742207*q*s wrt s.\nAnswer: 494568060*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -5336\nAnswer: -1\/5336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w. Suppose -a + w*a + 4*p = -5, -2*p = 3*a - 1. Let v be a\/(-2) + (-17)\/(-2). Solve -2*o + 3*r = 5, -3*o + 2*o + v = 2*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 14*p - 1. Let i be l(-11). Let k = i + 48. Let j be 14\/3*(-1 - -4). Is k greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.756 and -1.\nAnswer: -1.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192515*h**5 - 32*h**2 - 178*h - 2 wrt h?\nAnswer: 11550900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -c97c42 (base 15) to base 5\nAnswer: -4424011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 20*m**2 + 17*m - 59. What is b(-19)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 9.6. Let a = w - 0.35. Sort -4, -1\/5, a.\nAnswer: -4, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-4*u + 0*u + 6*u) + 0*u + 0*u - 3*u + (-4 - 2 + 5)*(3*u + 2 - 2).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(252) + (sqrt(252)*1 - sqrt(252) - sqrt(252)))\/((2*sqrt(72))\/sqrt(8) + sqrt(9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143213\/3 - -429643\/9. Let 122\/9*s - t*s**4 + 22\/9*s**3 + 112\/9*s**2 + 4 = 0. What is s?\nAnswer: -2, -1, -1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Let u(j) = j**2 - 3. Let g be u(v). Let k = 3 + g. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Suppose p = -w + 9. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 135423, 133138, 130853, 128568, 126283?\n\"Answer: -2285*z + 137708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxl when three letters picked without replacement from vxvxlslvvsvloxj.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2885 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 smaller than -15.1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 - 405*o**4 + 12597*o**3 + 73905*o**2 - 12600*o - 73500 = 0?\nAnswer: -5, -1, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -155*y**2 - 8*y + 187. Let b be n(29). What is b rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.01, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11482 - -0.1134994. What is h rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810184549?\nAnswer: 19, 95272871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1084152056 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - 0?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**6\/120 - 3*c**5\/20 + c**4\/24 + c**3\/2 + 2*c**2. Let t be w(9). Suppose 0 = -0*u - 4*u + t. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 l when three letters picked without replacement from {g: 2, l: 1, s: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 215 = 4*j, -z - z = 2. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*d - 0*d - 63, 2*r = -6. What is the highest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 7*z - 18 = 0. Let m be 397 - 6\/(z + 1). Suppose -8*g + 12*g = m. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3810*j - 3807*j = 5*c - 34, 0 = 5*c + 2*j - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2960 - 7723 - 1582 - 12036 - 4692)*(3*t**3 - 3*t**3 - t**5).\nAnswer: 23073*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 4:06 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 251?\nAnswer: 23\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -558 + 557. List the prime factors of -2*(470\/d + -5).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-32) + (-5)\/12. Which is the second smallest value? (a) z (b) 5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/243)\/((-13)\/156).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, -1, 0.5, -4, 0.93?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*i + 128340 = 239*i. Calculate the highest common factor of 2480 and i.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 41*d + 53. What is the tens digit of q(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -14.1. Let h = 3.9 + v. Put h, -5, 1 in ascending order.\nAnswer: -5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00555861 rounded to five decimal places?\nAnswer: 0.00556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 163, 358, 561, 778, 1015?\n\"Answer: p**3 - 2*p**2 + 194*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004211 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 11922, 4\/5, 2 in descending order.\nAnswer: 11922, 10, 2, 1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Suppose -k*z - 24 = -0*z. Is z\/9*762\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294431350?\nAnswer: 2, 3, 5, 17, 883, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7317 and 0.0773?\nAnswer: 7316.9227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-784))\/(44\/(30800\/(-225))).\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, -11, -81, -211, -419, -723, -1141, -1691?\n\"Answer: -3*l**3 - 3*l**2 + 2*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 476*p - 84. Let d(w) = -28*w + 5. Calculate 84*d(f) + 5*n(f).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, 0.1, -0.3, -1, -3, 0.5624 in descending order.\nAnswer: 2.5, 0.5624, 0.1, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 4, t: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3537.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -2.1, 1, 0.2, 54, 3\/7, -0.2?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 + 5 = -a, 4*a - 5*j - 12 = 0. Suppose -7*p + a*p + 11 = -s, -4*s - 3*p = -32. Solve -8 = 4*y - 2*w, -y - s*w - 36 = -12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.084, 2, -11 in descending order.\nAnswer: 2, -0.084, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862486953?\nAnswer: 3, 163, 251, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + -1 - (-162 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/q**(-1\/9))\/q)\/q*(q\/q**(-5))\/q)**4 assuming q is positive.\nAnswer: q**(184\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 11*k**2 - 13*k - 24. Let x be d(-10). Let v be (-7)\/(-4)*((-324)\/(-21))\/x. What is the closest to 0 in v, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 6. Let s be t(-6). Let b be s*3\/(-6) - 1. Sort b, 0.1, 1.\nAnswer: b, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2. Let n(m) = 11646*m. Give r(n(y)).\nAnswer: 678146580*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24501458 - 0.04501514. Let b = 0.06 - -0.14. Let m = b - z. What is m rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 518 - 254. Let w = 8178\/31 - c. Is w smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/3 - 92*h**4\/3 + 178*h**3\/3 - 88*h**2\/3.\nAnswer: 2*h**2*(h - 44)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 4313, 14683, 34881, 68171, 117817, 187083, 279233?\nAnswer: 397531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 7*f + 1. Let d(w) = 21 - 6*w - 11 - w**2 + 0*w - 9. Determine 6*d(h) - 5*k(h).\nAnswer: -h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.023, 1\/2, 10 in increasing order.\nAnswer: 0.023, 1\/2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2074 - -3474. Suppose -3520 - f = -15*s. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30617494 or 214322463\/7?\nAnswer: 30617494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*1\/2 - -8*(-26)\/(-416).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = -10. Let z = -1710 - -1746. What is the remainder when z is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 88 + -12?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7969828 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3 = 138*s, -58*s + 5 = -5*y - 54*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-5)\/(10\/(-6))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1569 - 1569.747. Let b = z + 0.71. What is b rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/2461 - 7861\/3322350. Which is smaller: 0.03 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94 and 6.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.51 in 1, -3, 252, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4103.156306 rounded to 0 decimal places?\nAnswer: -4103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138637127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14782 and 6021720?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 5*r + 13. Let g be b(-3). Suppose -g*d + 3*d + 5*x = -69, -d = -3*x - 12. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h - 30*h = -93654. Is h a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 44*d**2 - 68*d + 8073. Let n(g) = 352*g**2 - 545*g + 64586. Let k(y) = -33*f(y) + 4*n(y). Differentiate k(i) wrt i.\nAnswer: -88*i + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193296137 less than -0.0483?\nAnswer: -193296137.0483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + b**2 + 6 - 2 + 3 - 2. Let i be h(-6). Let q = i + -11. Solve 5 = c - q*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f - 8*f + 7*f)*(2*f + 2*f - 6*f).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuvkuuytuumyuvuu. What is prob of picking 2 y and 1 m?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44408 and 2002325.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747*w - 203 - 9383 = 15812 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 8. Calculate d(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4420\/7*g + 736\/7 + 6648\/7*g**2 + 36\/7*g**3 = 0.\nAnswer: -184, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307722 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 - ((-54)\/10 - -4). Let b be j - (4 - (5 + -1)). Solve -4*w = 2*t - 8, t - b = -3*w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 w when four letters picked without replacement from {w: 8, h: 2, f: 5}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34152868?\nAnswer: 2, 2083, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cipqiqqoioiiotoi. What is prob of picking 1 p and 1 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16224 and 3744.\nAnswer: 48672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 14 - 89. What is the derivative of -29 + 78 - 29 + t*f**2 - 25 wrt f?\nAnswer: 50*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-93)\/(-2790))\/((-58)\/(-8)). Let s = u - 457\/4785. Let f be (-3)\/(-1 - 7\/(-4)). What is the closest to -0.1 in s, 4, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000111887 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90433, 361853, 814263, 1447663, 2262053, 3257433?\nAnswer: 4433803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 33, 42, 47, 48, 45, 38?\n\"Answer: -2*i**2 + 19*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1284*v + 480*v + 767*v + 2.\nAnswer: -37*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 10*d**2 - 12*d - 9. Let j be ((-132)\/18)\/((-4)\/(-6)). Let p be v(j). Solve 21 = -p*q + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 492. Let y(g) = -7*g + 985. Let n(x) = 5*d(x) - 2*y(x). Let j be n(0). Suppose 2*a = j - 44. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {g: 13, c: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 176*x + 25. Let m(q) = -14*q - 2. Let a(g) = 2*h(g) + 25*m(g). Let c(d) = d**2 - 54. What is a(c(w))?\nAnswer: 2*w**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from vjvee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 468*l**3 - 248194 + 248194 + (4 + 2*l**3 - 4)*(1 - 2 + 4) in the form b*l**3 + m*l**2 + z + h*l and give b.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhxhhhhhhhxhxxhhh. What is prob of sequence hxxh?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/252042 and 53\/889560?\nAnswer: 15122520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10322, -21720, -33114, -44504, -55890, -67272?\nAnswer: -78650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5 - 1966*h**4 - 3926*h**3 - 1962*h**2.\nAnswer: -2*h**2*(h + 1)**2*(h + 981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -281000 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -9.6?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*y - 65, -m + 4*y - 4 = -19. Suppose -24*l = -m*l. Find a, given that 3*a + 4*a**3 - 3 - 10*a**3 + 3*a**2 + 3*a**3 + l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 210, 334, 484, 666, 886?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let h(p) be the third derivative of p**4\/24 + p**3\/6 - p**2. Give -b(w) + 3*h(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c**2 - 8*c**2 + 0*c**2 + 370*c**3 to the form v + b*c + z*c**3 + s*c**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1328 - -1580. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -3, 12, 5, -834, -1 in increasing order.\nAnswer: -834, -79, -3, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (25 + -4 + (-3 - -20))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 11*y**2 - 11*y - 36. Calculate the least common multiple of 20 and v(-12).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367548 to the power of 1\/2, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, v: 10}. What is prob of picking 1 v and 1 y?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**9\/v*v)\/v)\/v*((v**(-3)*v)\/v)\/v*(v\/v**(-21))**(-1\/16))**1 assuming v is positive.\nAnswer: v**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - -1*sqrt(187))\/sqrt(11) + 3 + -4*(sqrt(17) + 0) + 3*(sqrt(153))**2 + sqrt(17).\nAnswer: -sqrt(17) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k - 8. Let g be x(1). Let m(h) = -h**3 - 17*h**2 + 3*h + 54. Let o be m(g). Solve 4 = -o*f - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) - (-12220)\/520. Solve -49*x + 54*x = i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-50))\/((-48)\/2176*-17).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((9 - 15109) + 5)\/(-3)*(-3)\/(-1).\nAnswer: 5, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 237 = 3*a + b + 236, a = b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-4 - (-477)\/489). Let o = x - -106\/8965. Which is the third biggest value? (a) o (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 379*k - 6. Let g(w) = -378*w + 5. Determine -4*c(v) - 5*g(v).\nAnswer: 374*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -9 - (1 - (-2 + 2 - -8)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p - 48. Calculate x(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from spsesshspshspsse.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h + 10, -3*v - 5*h = 37. Let y be (-3)\/v - 57\/9. Let x = 21 - y. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -50. Suppose -10*u = 51 - 51 + 50. What is the second smallest value in u, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cgggcc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7836.73km?\nAnswer: 7836730000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-18)*b)\/(((b\/(b**30*b))\/b)\/b))\/(b**(2\/7)*b*(b*b\/b**(-9\/5)*b*b)\/b) assuming b is positive.\nAnswer: b**(347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 + 6*w**5 + w**2 + 7*w**2 wrt w?\nAnswer: 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-14))\/(5\/6*576\/27840).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/9 (b) 66\/23 (c) -3 (d) -62.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11528617 to the power of 1\/2, to the nearest integer?\nAnswer: 3395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.354857t in micrograms?\nAnswer: 7354857000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1611648853 to 4 decimal places.\nAnswer: -2.1612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**6 + 16*m**4 + 40*m**2 + 16*m. Let g(d) = d**6 - 3*d**4 - 8*d**2 - 3*d. Let v(c) = 16*g(c) + 3*u(c). What is the third derivative of v(n) wrt n?\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1198 + -1198. Suppose -5*b - 2*q + 4*q + 5 = 0, -3*b = -q - 4. Suppose -b*u - 274 - 149 = w. What is u rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2613423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/21 or -2\/1081?\nAnswer: -2\/1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 40. Calculate q(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/30 - i**4\/8 + i**3\/6 + i**2. List the prime factors of k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 c, and 1 l when four letters picked without replacement from {i: 5, l: 3, c: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h**3 - 6*h**2 + 0 + 0*h + 0*h**4 + 0*h**5 + 1\/60*h**6. Let q(m) = -2*m**3 + 0*m**3 + 7*m**3. Calculate 4*q(a) - 11*t(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.3971 to zero decimal places.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*s*s)**(-11\/2)*(s\/s**(-1))**(27\/2) assuming s is positive.\nAnswer: s**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 1626111?\nAnswer: 19\/1626111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 + 3*r**3 + 2*r - 2 - 170*r**2 + 334*r**2 - 165*r**2 - r**4 in the form j*r**4 + q*r + w + s*r**3 + n*r**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -222222211201?\nAnswer: -222222211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58689 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 21*j**2 + 97*j - 939. Give c(20).\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39496369727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*j**3 + 157*j**2?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12942 - 44679 = -5*p + 4*m, -57601 = -5*p - m. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 87. What are the prime factors of (j + 13)\/((-9)\/(-60))?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5052175 to the nearest integer?\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3099 = -11*i + 8*i, 25 = 5*i. List the prime factors of b.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712408.\nAnswer: 2, 89051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/17 - 26*j\/17 + 96\/17 = 0.\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5737646 is divided by 24625?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3009095*r + 6018190*r - 3009095*r + 292*r**2.\nAnswer: 292*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ovnvuxxxfvxuxvfxxovx.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 105 + -59. Let k = o + -46.2. Which is the biggest value? (a) -1\/8 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/2 - 193*j + 277. Let f(d) be the first derivative of t(d). Let b(w) = 51*w**2. Determine b(f(r)).\nAnswer: 459*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82\/4*2 - (6 + -8).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(8) + -2.\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. Let d = 290 + -267. Let o = d + h. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6 + 650\/234)*-42. Let i = l - -103. Put 0.2, i, -0.3, 17 in descending order.\nAnswer: 17, i, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 - (-2 + 4). Suppose -5*w + 5*a = -40, w - 4*a + 13 - 33 = z. Solve -2*o + 6 = w*s + o, 0 = 2*s + 2*o - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69293.\nAnswer: 7, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)*i*i*i\/i**(-2\/3))\/(i**(-2\/9)\/((i*i**(2\/21)*i)\/i)) assuming i is positive.\nAnswer: i**(1633\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0*b**2 + 3*b + 0*b**2 + 0*b**2 + 4*b**2. Let v be z(-2). Suppose -5 = -0*y - y. Solve -s + y - v = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -3547.58.\nAnswer: -3549.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5 = 22. Let g be 105\/(-9) + (-3)\/y. What is the units digit of 43 + 2\/(8\/g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let b(l) be the first derivative of -4 - 1060*l**2 - 7 + 82 + 1035*l**2. What is j(b(p))?\nAnswer: -100*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4541, -8944, -13347, -17750?\n\"Answer: -4403*i - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432 and 14796.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 2, -1.4, 3 in decreasing order.\nAnswer: 3, 2, -0.1, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(99) + (-1*sqrt(99) - sqrt(99))*4 - sqrt(99)) + -1 + sqrt(99) + sqrt(99) + 2 + sqrt(99)*-1*-5 + -1)**2 + -2.\nAnswer: 12*sqrt(11) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1911456 and 37\/4?\nAnswer: 1911456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3158*r - 416165 = -141419 for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 191.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005633219815 rounded to seven dps?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3\/7 - 5356*d**2\/7 + 1774028*d\/7 + 1811716 = 0. Calculate d.\nAnswer: -7, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8744 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z**3 + 22*z**2 + 34*z - 36. Let w(v) = 11*v**3 + 21*v**2 + 35*v - 37. Let d(t) = 6*g(t) - 5*w(t). Let o be d(28). Is -2.4 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44381 to 2 dps.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017657 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -2*sqrt(91)*-6) + 6*2*sqrt(91))\/(-5*sqrt(7)*5*-5).\nAnswer: sqrt(13)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -567 (b) 0.3 (c) 0.5 (d) -182 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 26. Suppose 0 = 4*b + p - 4*p, -4*p = 2*b. Is m(b) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60285 is divided by 471.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 64 = -3*m - 2*m, m - 2*f - 10 = 0. Suppose 19 + 46 = -5*w. Let l be (-3600)\/(-260) - 2\/w. Solve -2*v - l = -6*q + q, q - m = 5*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104519158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/6)\/((-4)\/(-8)). Let d = 4 + k. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 2*f**2 + 5*f - 4.\nAnswer: -(f - 1)**2*(3*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 28 = 4*j - 5*f, j - 3*f - 7 = 0. Let l(g) = -6*g - g**2 + 2*g**2 - 4 + 0*g**2 + 0. Is l(j) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7186, -57055, -192412, -456001, -890566, -1538851?\n\"Answer: -7124*m**3 - m - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -53334\nAnswer: 1\/53334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44002 is divided by 181?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -904, -905, -906?\n\"Answer: -o - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(4\/9)*z)**(-11))**(-40))**(1\/28) assuming z is positive.\nAnswer: z**(1430\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 12 + x to j*x + w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 533, 536, 531, 512, 473, 408?\n\"Answer: -z**3 + 2*z**2 + 4*z + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.1, 8\/5, -2?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(1 - (-12)\/(-9)). Let q(m) = m**3 - 2*m**2 - 4*m. Let y be q(3). Let x = -19\/5 - y. Are j and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*sqrt(17)*5)**2 + sqrt(51)\/sqrt(27) + (sqrt(1088) - sqrt(1088)*-1).\nAnswer: -63750 + 49*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klkn when four letters picked without replacement from {l: 1, k: 9, d: 3, n: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 434 - 1793*a**2 - 152 + 295 + 244*a**2 - a + 226*a**2 wrt a?\nAnswer: -2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-2 + -3)) + 3 + 299 + -264?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -0.5. Which is the biggest value? (a) q (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 127c3 + 84d?\nAnswer: 13232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-18)\/(-5))\/(-3))\/(-15 - 370\/(-25)). Sort 5, -29, z in ascending order.\nAnswer: -29, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487008713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 9, p: 2, f: 6}. What is prob of sequence nf?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.206 - 1.216. Let k = -5.3 + d. Put -4, 3\/2, k in descending order.\nAnswer: 3\/2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(11) + -1) + sqrt(22)\/sqrt(2)*6)*1)**2.\nAnswer: 10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkodkd. Give prob of sequence ow.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8770 divided by 3.\nAnswer: -8770\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.7734 equal to 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -20*r. Let y(l) = -256*l**2. Give n(y(o)).\nAnswer: 5120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*u + u. Suppose 0 = 4*l - b + 16, 0*l + 3*l + b + 12 = 0. Put l, u, -2 in increasing order.\nAnswer: l, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) -5 (c) -2\/5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 4 + 5*q**3 - q**3 - 3*q**3 + q + 7*q**2. Suppose -4*b = -5*h + 19, 0 = 3*h - 2*h + 5*b - 27. What is d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2009 + 2013 - 6020 + q**3 - 5*q**2 - 5*q + 2003. Suppose -13 = -2*z - 3. Calculate v(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*b - 5*d + 5 = 0, 4*b + 5*d - 45 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71704340.91 rounded to the nearest 10000?\nAnswer: 71700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 95 = 80 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - y = y - 26, 4*f - 2*y - 94 = 0. Suppose 0 = 6*h - 4*h + f. Calculate the least common multiple of 26 and (16\/h - -1)*-24.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 = -4*x + 3*j, -4*x = -5*j - 23. Solve -2*k + 3*k = -x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 483*z + 6. Let o(l) = 81*l + 1. What is 6*h(p) - 34*o(p)?\nAnswer: 144*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/34083 (b) -0.06 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2180160 and -5\/576.\nAnswer: 2180160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4240*j**2 - 6*j - 8505*j**2 + 4268*j**2 + 6*j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-228)\/(-56) - 4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -242 - -235. Let h be (-4)\/(-60)*-22 - -2. Let x = 1\/30 - h. Put -2\/9, r, x in increasing order.\nAnswer: r, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 7) to base 6\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 519 - 457. Find the second derivative of -13*d**2 - 4*d**3 + 30 - 3*d**2 - o*d - 52 + 21 wrt d.\nAnswer: -24*d - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o**3 + 363802*o - 363802*o.\nAnswer: -29*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -243, -5\/14, -184, -2?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -56 (c) 18 (d) 0.5 (e) 15 (f) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6858 - 0.7657975. Let i = 0.08 + v. Round i to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/13 + 907190*m\/13 - 2721552\/13.\nAnswer: -2*(m - 453592)*(m - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-10)*((-39325)\/(-10))\/13. Let m = -159 - d. Let k = 181 - m. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16231 is divided by 8052?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0178 * 0.99\nAnswer: -0.017622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151\/36 - -15\/4. Find the common denominator of 37\/2 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.19, 4, -1\/4, -0.06, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p**(-2)*p)\/p))**(2\/135)*p\/(p*p**(5\/2)*p)*p**(-3\/7))**18 assuming p is positive.\nAnswer: p**(-7369\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 6. Let m be (-51)\/(-15) + 2\/(-5). Let u be 8\/i + m - -11. Calculate the highest common divisor of u and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 2*s - 22. Let d be i(8). Which is smaller: d or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-320)\/(-8) - (0 + 1). Let u = 66 - c. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244 - -242. Let z(o) = o**2 - 6*o - 12. Let c be z(n). Solve -2*t + 2 = -c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-129)\/(-15) + (-9)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -5. Let p = 67.42 - 62.42. Put v, p, 3, -27 in decreasing order.\nAnswer: p, 3, v, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 4\/3*j**3 + 0*j**2 + 7*j**4 + 0 - 189*j + 19\/5*j**5. Determine a so that n(a) = 0.\nAnswer: -1, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593767 is divided by 593744?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 225 - 85. Suppose 19*p - 5*u = 21*p - 33, 3*p - u = 7. What is the lowest common multiple of v and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -3810.\nAnswer: -4\/1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3666)\/(-564)*2*-1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -14.99941. Round i to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(117)*1 + sqrt(117))*-3*3)\/(-2*(sqrt(1296)*-1*-5 + sqrt(1296) - sqrt(1296))).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 10. Let b be h(-10). Is 4\/55 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-36)*-3)\/(14\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -280, -627, -1122, -1771, -2580?\nAnswer: -3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 34*k + 172 = -416 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 9*d**8\/224 - 78*d**7\/35 - 431*d**6\/80 - 19*d**5\/20 + 9*d**4\/2 - 117*d**2 + 2. Find j, given that n(j) = 0.\nAnswer: -1, -2\/3, 0, 1\/3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380811311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2 - 0. Let q = -62 - -66. Sort 2, q, n in decreasing order.\nAnswer: q, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 5*d + w + 32, 4*w = -4*d + 72. Suppose d = -5*v + 4*o + 336, 0 = 4*v + 2*o - 242. What is the remainder when v is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -325 - -367. Calculate the highest common factor of 105 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226*m*o**4*t - 4*m*o**2 + 12*m + 11*o**4*t - 8*o**3*t + 181*o**2*t wrt o.\nAnswer: 5424*m*o*t + 264*o*t - 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039*k - 4899*k + 5920*k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4913 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2801? (a) -0.4 (b) 1 (c) 8.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -70. Let s(i) = 6*i + 1323. Let v(g) = -18*m(g) - s(g). Determine v(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-13 + 12 + 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/11 (b) -18 (c) 1.7 (d) -2\/9 (e) 0.058 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.35346706322403 and -0.5.\nAnswer: -0.85346706322403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66005878 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -103, -321, -741, -1429, -2451, -3873?\n\"Answer: -11*p**3 - 2*p**2 + p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + 0*i)*(0 + 0 + 9)*(2 - 2 + 15*i) + (-2*i**2 + 2*i - 2*i)*(-1 - 4 + 4) - i**2 + 0*i**2 - 3*i**2 + (4*i - 2*i + 0*i)*(2 - 2 - 2*i).\nAnswer: 129*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/84166 and -29\/78?\nAnswer: 3282474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109350672 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 5.163\nAnswer: 25.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (2 - -12) - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.83525 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1098 or 1095?\nAnswer: 1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*z + 2*r, -3*z + 5*r - 2 = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x + 10*x**2 + 4*x - 6*x**2 - 6*x**2. Let h(q) = -88*q. Calculate h(o(k)).\nAnswer: 176*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48731 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179968331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 3895.\nAnswer: 46740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2847994022.\nAnswer: 2, 211, 1193, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*i + 773 + 5827. Calculate the highest common factor of 25 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + (2 - 1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*c - 14 = -0*c, -3*c = -x + 5. Let k(v) = -v**2 - 4*v + 2. Let o be k(x). Solve 2*u = -5*s + 12, 2*u = -3*s - o*u - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 956*k**5\/13 - 80306*k**4\/13 + 1794580*k**3\/13 - 6663250*k**2\/13 - 8521236*k\/13 + 17856\/13 = 0.\nAnswer: -1, 1\/478, 6, 31, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1)\/m*m)**(-45)*((m*m**(4\/7))\/m)\/(m**(-5)*m))\/(m**(-5)*(m\/(m*m**(-4)))\/m)**(3\/10) assuming m is positive.\nAnswer: m**(-1394\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 1401105 and -2565.6619.\nAnswer: 1398539.3381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1001)\/(-28) - (-9)\/(-12). Suppose -5*f + 4*f = -4*z + q, 3*f + 2*z + 49 = 0. Let p = -19 - f. What is p rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 2. Let o(y) = 11. Calculate -6*a(t) + 2*o(t).\nAnswer: 6*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 74.\nAnswer: 5994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 2332776601*k**2 + 2332776564*k**2 + 19.\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccrccrr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1700039416.\nAnswer: 2, 41, 5183047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254653 by 147.\nAnswer: 5197\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112927 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: What is -28*(-8)\/(-24)*-1*(-6)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1152*p + 8142. Determine h(7).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/27*45\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757.5423 + 17?\nAnswer: 1774.5423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {j: 9, t: 3, r: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*m + 44*m**4 - 27*m**4 - 19*m + 22*m wrt m?\nAnswer: 204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57929754.4 rounded to the nearest ten thousand?\nAnswer: -57930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 473215\/98808 - -10\/4117. Calculate the common denominator of (-12)\/3 + 418\/80 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -10168667.\nAnswer: -10168669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -312643, -3, 0 in descending order.\nAnswer: 4, 0, -3, -312643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 + -0.13. Suppose 0*f - 2*f = 5*y + 61, -3*f + 32 = -2*y. Which is the smallest value? (a) q (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d**2 + d - 2. Determine a(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.051 + -0.071. Let q = -0.02 - y. Let a = 5.0000056 + q. What is a rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2264991347 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4 and 105\/20*(-40)\/108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 8*x - 2. Calculate b(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 114080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 8?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 89, 170, 251, 332?\n\"Answer: 81*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/1 - 1800\/(-420). Is 1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (219 + -14)*(-45)\/225?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from {s: 5, w: 2, c: 8}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*l + 2875 - 2815 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 895\/21 + -127\/3. Let k = 0.5 + -1. Let f = k - -0.4. Which is the closest to f? (a) -0.3 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (10 - (1 + 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 401 = 2*m. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24964 is divided by 23867?\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 81?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -828, -1685, -2542?\n\"Answer: -857*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1251 (base 14) in base 12?\nAnswer: -1a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4903.545 centimeters?\nAnswer: 49035450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/23 = -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b3 (base 15) to base 9.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 12*r**2 - r - 1. Determine l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -35, -66, -107, -158, -219, -290?\n\"Answer: -5*n**2 - 6*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -412, -1454, -3484, -6832, -11828, -18802, -28084?\n\"Answer: -55*s**3 + s**2 - 2*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -3, -32.\nAnswer: -32, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 6, -15*a = -55*s + 52*s - 13923. Calculate the highest common divisor of a and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 9. Let k(i) = 4*i - 14. Let y(x) = -14*f(x) - 9*k(x). Let l(j) = 515*j**2. Give l(y(n)).\nAnswer: 32960*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/6)*n**(-1\/3)*n*n**(-4)\/n**(1\/3) assuming n is positive.\nAnswer: n**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697 smaller than 6698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44846 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26 + -18 + -5 + (-13)\/4. Sort -0.06, 2, -15, z in descending order.\nAnswer: 2, -0.06, z, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-12))\/((f*f**2*f)\/f))\/(f**(-4\/9)\/(f**18*f)) assuming f is positive.\nAnswer: f**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 3*u + 2*u)*(-28 - u + 28) + 0*u**2 + 4*u**2 - 2*u**2 in the form y*u + g + v*u**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 10*l - 198. Suppose 2*z - 175 = -5*o, -4*z - 2*o + 365 = 3*o. Calculate the remainder when z is divided by t(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*a + 3901 = -9840 + 2951. What is the highest common factor of 884 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63837 and 9225.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-279.\nAnswer: -2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24381 divided by -21?\nAnswer: -1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -206?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -15*c**2. Let a(b) = 186859*b**2. Determine n(a(q)).\nAnswer: -523744288215*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -13*k**5\/20 + 3*k**3 - 26*k**2. Differentiate p(a) with respect to a.\nAnswer: -78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 9*p - 157. Suppose -5*j + 5*t = 3*t - 118, -48 = -2*j + t. What is the remainder when j is divided by n(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - k + 5 = 23, -2*s = -3*k + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1396239*v - 1484721?\nAnswer: 1396239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.2 (c) 12.6 (d) 150825 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqvpe. Give prob of picking 1 e, 1 q, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = z - 4*z. Let r(v) = -45 + z + 0*v**2 + 2*v**2. Let j(x) be the third derivative of x**4\/12 + x**2. Give j(r(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) - (-124355)\/68. Suppose 4*d = -i + 5869, -a = -3*d - i + 2574. Suppose d = 4*r - 50. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12005 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnjhnhffqffqhnf. What is prob of sequence fjq?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -65213*-0.044\nAnswer: 2869.372","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.1 (c) -41 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/860*-50*(75\/54)\/25.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9179\/3 - -3054. Which is the closest to 1\/8? (a) m (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.095 and 5?\nAnswer: -0.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -665 + 734. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43021858 - 43021858 - 100*w.\nAnswer: -100*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-70) + (-21)\/(-20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -658 and 164391.75.\nAnswer: 163733.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/2, 287, 8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -891*h**2*m**3 + 166*h**2*m*u + 2*m**3*u wrt u.\nAnswer: 166*h**2*m + 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from hxhbgbhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*h**2*p*q + 2*h**2 - 117*h*p*q + 7*h*q + 2*p wrt h.\nAnswer: -178*p*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3156368590?\nAnswer: 2, 5, 109, 191, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61\/437 or -1?\nAnswer: -61\/437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*s - 230*r + 229*r, -3*s + 96 = -25*r for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 + 3725*c**2 + 49270*c = 0. Calculate c.\nAnswer: -13, 0, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8851, -16474, -24097, -31720, -39343?\n\"Answer: -7623*q - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 5, -3, -3.3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Let g = -6 + 7. Let q(p) = -p - g + 2 - p. Calculate -6*o(i) - 5*q(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -37587*u + 14696507. Give n(391).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*a + 93*a**2 - 10*a + 10*a + 97 wrt a.\nAnswer: 186*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5037 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-15)*(-3)\/6*(-12)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - n - 14. Let t be k(0). Let r be ((-69)\/138)\/(2\/76). Let y = t - r. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f + 76*f - 4*l + 178 = 0, -4*l + 346 = -89*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10 + 20 + 6*r**3 + 18*r**2 - 16*r**2 - 5*r**5 wrt r?\nAnswer: -300*r**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 63*k**2 - 576*k + 503. Let p(l) = -l**2 - 3. Let y(c) = 3*p(c) - v(c). Factor y(b).\nAnswer: 2*(b - 16)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 9, t: 1, s: 4}. Give prob of picking 1 w and 1 t.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13883 = -82*d + 13965 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 140\/(-200)*(-8)\/(-14) + -29 + 29. Which is the closest to 1? (a) 4 (b) 3 (c) w (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 7:38 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e - 7c?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/1)\/(-6 - (-6315)\/1050). Let j be 42\/y + (-79)\/5. Let q(b) = -b**3 - 17*b**2 - 18*b - 23. What is q(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 10. Suppose l - 10 = -5*b + 2*l, 0 = 4*l - v. What is the least common multiple of 10 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-320)\/(-6) - 2\/(-3). Suppose y + a = 4*y. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**1)\/x)\/x**5)**(-16) assuming x is positive.\nAnswer: x**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 4*p**3\/3 + p**2 + 12*p. List the prime factors of v(8).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16100.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o**5 + o + (-3*o + 3*o - 2*o)*(-2*o + 2*o**4 + 2*o))*(4 - 5 + 15).\nAnswer: -70*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -622928 + 622911. Let k be 7 - (-2)\/2*-2. Let o be k\/2*(-1)\/(-15). Which is the closest to -0.2? (a) -4\/7 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.550968 micrograms to kilograms.\nAnswer: 0.000000000550968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*b + b - 5, u + 5*b = -5. Put -2, 1, -4, u in descending order.\nAnswer: 1, -2, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -22*y - 5*y. Let n be 5\/(-3)*12\/4. Sort y, n, -2 in decreasing order.\nAnswer: -2, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 7:28 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356810?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -321 - -854. Let k = n + -298. Calculate the highest common factor of k and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (-4 + -1 + 13) - -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and -0.54.\nAnswer: -27.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 1196.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81440, -81413, -81396, -81395, -81416?\nAnswer: -81465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 14*z - 10. Suppose v - z*j = -5, j = 5*v - 2*v + 1. Suppose 22*p - 25*p - 3 = v. Sort -5, p, 0, 2 in ascending order.\nAnswer: -5, p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1463 - 0.0463. Let r = 179\/3 - 61. Which is the closest to u? (a) -0.12 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:45 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -729, -823, -925, -1035, -1153?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349257045 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 36*l**2 + 24*l + 8. What is h(17)?\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:26 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001579254 to seven dps.\nAnswer: -0.0001579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*u + 4. Let t(y) = y - y - 3*y**2 + 2*y**u. Let g(v) be the second derivative of -v**4\/12 - 2*v. Determine g(t(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k - 15 + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11201*-188.\nAnswer: 2105788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**6\/3 - 34*p**5\/5 - 48*p**4 - 424*p**3\/3 - 160*p**2 + 908. Find c, given that h(c) = 0.\nAnswer: -8, -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppsps. What is prob of sequence sp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49984934 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 19 at most 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2093104 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/3 - 895*z\/3 - 3822 = 0 for z.\nAnswer: -882, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*c**5 + 107*c - 107*c + (-2*c**2 - 11*c**2 + 2*c**2)*(c**2 + 2*c**3 - c**2) - 2*c**5 - 3 + 3.\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -801, -774, -721, -636, -513, -346?\n\"Answer: a**3 + 7*a**2 - a - 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 534\/(-623)*2\/(1\/((-14)\/(-32)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*s - 38 = 0, -19*g - s = -24*g + 34 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009420637 to 5 dps.\nAnswer: 0.00942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 5. Let x be a(5). Suppose -2*t - 4*b + 16 = 0, 5*b + x - 35 = -5*t. Suppose -9 = -5*s + t. Solve 2*r + s = -1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-5)*(1\/(-9))\/1\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -0.4, -4364, -12, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0.07. Let g = s + -1.05. Let w = -3 - g. Put 3, 5, w in decreasing order.\nAnswer: 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 20. Suppose -4*f - 1796 = -2*o - 0*f, -o - z*f + 868 = 0. Suppose -4*t = 2*t - o. Is t a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l + 58. Let z(k) = 5*k - 19. Give 6*n(s) + 17*z(s).\nAnswer: s + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 8*i + 64, 17*r + 12 = 22*r - 3*i + 18 - 51 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1163*h**2 - 2866*h**2 + 7464*h**2. Let s(g) = -3*g**2. What is s(w(q))?\nAnswer: -35397675*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 1843224?\nAnswer: 11059344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -25*b + 15*b. What is the common denominator of 28\/b*((-348)\/(-63) - 6) and -67\/44?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/44*108\/(-162)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6084 and 640224.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21743375 is divided by 804.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 7*x**2 - x + 6. Suppose 0 = f + 2*b - 17, f + 2 = 2*b + 3. Suppose -3*q - f = -r + 4*r, 3*q - r = -25. What is m(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 9*g**2 - g + 5. Let u(o) = -7*o**2 - o + 6. Give -3*a(f) + 4*u(f).\nAnswer: 3*f**3 - f**2 - f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7014459475969 less than 4?\nAnswer: -7014459475965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 40*v**3 - 178*v**2 - 96*v + 315.\nAnswer: -(v - 1)*(v + 3)**2*(v + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.45998829 - -2.46. Round g to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z**(1\/2))\/((z*z**5*z)\/z**(2\/9)) assuming z is positive.\nAnswer: z**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tstpgtptttgotst. Give prob of sequence sstt.\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7098470150?\nAnswer: 2, 5, 141969403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/23)\/(((q*q\/q**(-1\/11))\/q)\/q)*q**(-3)*q*((q*q\/q**(-7))\/q)\/q*q assuming q is positive.\nAnswer: q**(1517\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 2\/11, 2\/9, -37\/3, 3, 5?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 9. Let r = h + 2. Let i = 1 - 1. Which is the biggest value? (a) 5 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/521848 and -44\/79335.\nAnswer: 23483160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**8\/1344 + y**7\/280 - y**6\/160 + y**5\/240 - 5*y**2. Factor a(u).\nAnswer: -u**2*(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109.681 - -109.681. Let g = -16 - -9. Which is the second smallest value? (a) g (b) j (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:42 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 372 - 480. Let t be (3\/(-5))\/(-1*n\/(-40)). Factor -2\/9*v**4 + 0 + 4\/9*v**3 + 0*v - t*v**2.\nAnswer: -2*v**2*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1902 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-10)\/b*(b*b\/b**9*b)\/b)**(-28\/5))**(1\/35) assuming b is positive.\nAnswer: b**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2690970 divided by 15\nAnswer: 179398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 1:54 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1709 + 2612. Suppose -223*s + 216*s = -u. What are the prime factors of s?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**3 - d**2 + 31*d + 320. What is the thousands digit of w(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -47, -74, -103, -134, -167, -202?\n\"Answer: -w**2 - 22*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 1, h: 2}. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -24606*z**2. Let j(k) = -25*k**2. Give j(g(f)).\nAnswer: -15136380900*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1, 468, 0.5.\nAnswer: -1\/4, 0.5, 1, 468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.687697975 rounded to 3 decimal places?\nAnswer: 1.688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20766.539 rounded to the nearest 10?\nAnswer: -20770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1301740492 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 398771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/9 - -1\/18. Which is the biggest value? (a) -0.2 (b) -1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4011264 (base 8) to base 3\nAnswer: 1222111221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (350\/245)\/(2\/7). Suppose -2*v = -2*y - 6*v + 6, r*y - 15 = v. What is the closest to 2 in 0, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, 54, 221, 552, 1101?\n\"Answer: 9*b**3 + b**2 - 9*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6006+-14\nAnswer: 5992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(1\/10)))**(-42)\/(k**(-14)*k**2))**12 assuming k is positive.\nAnswer: k**(468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*z, 190*z - 187*z - 32 = -4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + sqrt(30)\/(1*sqrt(6)*-3)))**2 + 4 + ((2*sqrt(180) - sqrt(180))**2 - sqrt(10)\/sqrt(2)*6).\nAnswer: -178*sqrt(5)\/3 + 5336\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-2\/7)\/g*g)*g)\/g)**16 assuming g is positive.\nAnswer: g**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56800 is divided by 526?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(32\/(-192)). What is the smallest common multiple of -3 - (-91 + (-5 - i)) and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**4*y - 61*c**3*y + 27*c**2*y + 3*c**2 wrt c?\nAnswer: -24*c*y - 366*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40680*i**3*t**3 + i**3*t**2 - i**3 - 161989*i**2*t**3 - 14*i*t**3 + i*t**2 wrt i?\nAnswer: -244080*t**3 + 6*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.70319125 - 0.00323025. Let r = -3.7 + a. Round r to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 62276.6 and 0.72 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -17*j**2. Let s(i) = -81*i**2 - 77*i**2 + 37*i**2 - 33*i**2. Determine 55*l(p) - 6*s(p).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.04 (b) 9\/2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -714*s + 1113. What is the hundreds digit of o(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28511\/70316 or -1?\nAnswer: 28511\/70316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3*4\/6. Suppose 0 = -3*l - 4*p + 6*p + 1, 4*l - 2*p - 2 = 0. Solve -l = -d + j*t, t + 0 = -5*d - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - -0.2. What is the third smallest value in 5, -2\/13, -2\/5, r?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/2 - 3207*k**2 + 296631*k\/2 - 1708670 = 0 for k.\nAnswer: -6460, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*c = 24 + 1, l + 4*c + 10 = 0. Find the second derivative of 122*m**2 + 7 - 116*m**l - 6 + 3*m + 34 wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 25 = -3*y, -46 = -3*v - 2*y. Calculate the smallest common multiple of v and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - 1.03. Round a to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from sssrsbsssr.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1068*l**2 + 11*l - 11. Let f(h) = 356*h**2 - 4*h + 4. Determine -11*f(c) - 4*y(c).\nAnswer: 356*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/5 + 2164*b**4\/5 - 6504*b**3\/5 + 6508*b**2\/5 - 434*b = 0. What is b?\nAnswer: -1085, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 136, 234, 296, 322, 312, 266, 184?\n\"Answer: -18*r**2 + 152*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321.6 + 322. Which is the third biggest value? (a) 0.2 (b) p (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (-60 + (-29 - -46))) + (0 - -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 634 (b) -1\/9 (c) -5 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1793 minus -0.1?\nAnswer: -1792.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 10*n + 14. List the prime factors of p(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3205356kg to nanograms.\nAnswer: 320535600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 107*k**3 - 3*k**2 - 5*k - 38. Let n(l) = -107*l**3 + 2*l**2 + 4*l + 37. Let v(y) = 2*f(y) + 3*n(y). Differentiate v(b) with respect to b.\nAnswer: -321*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 63*u + 46. Let r(i) = 3*i. Let q(h) = 6*r(h) - v(h). Is 13 a factor of q(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(3\/(-2))*7. Let k = o - -20. What is the smallest common multiple of k and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18405 + 18405. Let b(d) be the third derivative of -27*d**2 - 1\/60*d**5 + 5\/6*d**3 - 1\/6*d**4 + 0*d + r. Determine u so that b(u) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 404*j = -418*j - 16, -5*j - 5 - 3 = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 15*l - 28 to j + g*l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + m + 2)*(-5 + 4 + 10 + (2 - 1 - 2)*(-1 + 0 + 2) + 3 + 2 - 6 + 4 - 2 - 1).\nAnswer: 8*m + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r**2 - 16*r**2 - 17*r**2)*(-r**3 + 0*r**2 + 0*r**2 + 1).\nAnswer: 51*r**5 - 51*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 99*q**5\/10 - 449*q**4\/24 + 981*q**2. Find the second derivative of y(w) wrt w.\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p + 17*p - 32000. What is p rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 101*i + 71*i + 3*i**3.\nAnswer: 4*i**3 - 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3030089.\nAnswer: 23, 131743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 19113000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 30 in decreasing order.\nAnswer: 30, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121 + 139. Suppose 11*k - d*k = -609. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2962277362 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 2:20 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/27*-9 + 35. Solve -12 = 4*t, 53*n = 51*n + 4*t + b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23636875.8164 - -8673367.81603. Let o = -14963568 - d. Let b = o + 60. Round b to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - 4*w - 36310. Let r(c) = c**2. Determine u(r(q)).\nAnswer: -2*q**4 - 4*q**2 - 36310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17784*g**2 - 4. Let f(r) = 22*r. What is f(o(i))?\nAnswer: 391248*i**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1049641 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 967 - -741. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 9, 41, 107, 219, 389?\n\"Answer: 2*o**3 - o**2 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4, -4*r = -81*v + 79*v + 2026478. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -104*b**2 - 104*b. Let y(g) = g. What is -u(z) - 104*y(z)?\nAnswer: 104*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12654 by -6.\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109732*22.\nAnswer: -2414104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:43 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43288 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1583, 344.4, -4?\nAnswer: 344.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 19*m**2 - 913*m + 593. Give x(41).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*v - 61, -y + 2*v + 13 = 4*v. Let q(u) = u**3 - 21*u**2 - 45*u - 18. Let c be q(y). Let w(k) = k + c*k - k**2 + 4066 - 4069. Give w(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, i: 2, z: 9, k: 3, y: 2}. What is prob of picking 1 q and 1 i?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2778 = 2*d, 4*d + 41*k = 36*k + 5556. Is d a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -106 - 29. Let r be 5*3\/w*(917 - 2). Suppose 2*u + r = 5*i, i + u = -u + 73. What is the remainder when i is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 8. Let z be c(-8). Solve -p - 2*p + 6 = z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5 + 122*m**4 + 4722*m**3 + 44062*m**2 + 72224*m - 360360 = 0.\nAnswer: -13, -11, -7, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17203134.\nAnswer: 2, 3, 13, 220553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 5. Let f = 3 - r. Let s(w) = w - 4 - 2 + 8. Calculate s(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**4 - f**4 + 516*f - 491*f)*(2 + 4 - 2) to the form y*f**3 + w + u*f + c*f**2 + m*f**4 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.071, 664539 in ascending order.\nAnswer: -2, 0.071, 664539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.45 - 2.55. Put l, -476, -4 in descending order.\nAnswer: l, -4, -476","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*j*q**2 - 5387*j*q + 966881*j - 2*q**2 + q with respect to q.\nAnswer: -30*j*q - 5387*j - 4*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 318369802 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 105617.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-365)\/(-219))\/(75\/6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3991*j. Let r(k) = k + 43. Give r(g(b)).\nAnswer: 3991*b + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 347, 663, 979?\n\"Answer: 316*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -736 (base 10) to base 4\nAnswer: -23200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -179, 16 in ascending order.\nAnswer: -179, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*n + 11 + 18*n + 23*n + (4 - 5 - 1)*(-n + 0 + 0) - 3*n + 3*n - 26*n.\nAnswer: -22*n + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-36660)\/40)\/47)\/(3\/(-2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 2259809?\nAnswer: -2259803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -20 - (-2 + 9 + 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(3\/((-24)\/14)))\/((-80)\/36960*66).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/14304 and -3\/9536.\nAnswer: 28608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 15. List the prime factors of ((-8)\/t)\/(6\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 0, -7\/2, 1\/173?\nAnswer: 1\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -92796.76 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5626 - -5628. Which is the smallest value? (a) -4 (b) v (c) -29.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4031300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -39 + 15. Let l(m) = m**2 - 9*m + 7. Let y be l(n). Let x = y + 58. What is the remainder when x is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/4*z**3 - 40 - 125*z - 65*z**2.\nAnswer: -5*(z + 2)*(z + 8)*(5*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255182 is divided by 857.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*v**2 - 76*v**2 - 89*v + 89*v - 58*v**2 + 201 with respect to v.\nAnswer: -376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 t when four letters picked without replacement from {w: 1, t: 2, p: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.15 + -0.85. Let d = z + 41. Put 3, 0.1, d in ascending order.\nAnswer: 0.1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 972*c**6 - 35*c - 36*c + 1427*c**6 + 71*c + 59*c**2 wrt c.\nAnswer: 287880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -v - 312, 4*v + 4*z + 1262 = 2*z. Let m be (-6)\/45 - (-162183)\/v. What is m rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 12) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(11*r**4 - 5*r**4 + 13*r**4) + (-2 + 3 + 1)*(-2*r**2 + 2*r**2 + 2*r**2)*(-r + r + 2*r**2).\nAnswer: -49*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 122321023 (base 4) in base 15?\nAnswer: 2298a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*y)*(-3 - 1 + 7)*(-2 - 3 + 4)*(5 + 0 + 0).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, d: 6}. Give prob of sequence dd.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -4, -122, -2, 0 in decreasing order.\nAnswer: 0, -2, -4, -47, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 933.7564 decades to centuries.\nAnswer: 93.37564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 919.7189 millimeters in centimeters?\nAnswer: 91.97189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 2385 = 2409 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85.8 * 14.3.\nAnswer: -1226.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 340*n**5\/9 - 19706*n**4\/9 - 1983692*n**3\/9 - 34886768*n**2\/9 - 63275072*n\/9 - 2546432\/9 = 0.\nAnswer: -28, -2, -7\/170, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 214606007?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -12*t + 11*t. Suppose 97*x - t*x - 265 = 0. Let f = 185 - x. Does 40 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 - -130113202?\nAnswer: 130113031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(2\/20)*66\/(-110).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000291638 to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 16*c**3 + 12*c**2 + 80*c + 50.\nAnswer: 2*(c - 5)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -291507 or -291506?\nAnswer: -291506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/4 - 15*i + 621\/4.\nAnswer: -(i - 9)*(i + 69)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = z + 3*z. Let n(j) = -3*j - 3. Let k be n(-5). Suppose -4*f - k = -f, 4*f + 18 = -i. Sort i, 3, z in increasing order.\nAnswer: z, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 2*g - g)*((2*g + 0 + 0)*(1 - 1 + g) + 4*g - 4*g + 8 + 2*g**2).\nAnswer: -32*g**3 - 64*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h. Suppose 2*w = -4 + 12. Let t(j) = 3*j - 8. Let q be t(w). Let s(z) = -q*z + 8 - 8. Calculate s(c(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -25*a**2 - 23213*a + 34406. What is p(-930)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 3*l + 6, 61*d = 62*d - 3*l + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + 3*n - 3*n + (-135 + n + 121 - 2*n)*(0 - 1 + 0).\nAnswer: 2*n + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477, 953, 1429?\nAnswer: 1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9107\/106, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 137 in 1\/3, -3, 0.048?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3 + 6*o**2 + 25*o + 20. Let l(a) = -a**3 + a**2 + a. Let z = 163 + -167. Let t(x) = z*l(x) - d(x). Factor t(u).\nAnswer: -(u + 1)*(u + 4)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (-5 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/14)*t*t*t*(t\/t**(1\/9))\/t*t)\/(((t*t\/(t*t*((t\/t**(-1\/6))\/t)\/t*t)*t)\/t)\/t**(-1\/5)) assuming t is positive.\nAnswer: t**(1282\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-18)))\/q)\/(((q**(5\/4)\/q)\/q*q)\/q)*(((q*q**(1\/2))\/q)\/q)**(-3\/16) assuming q is positive.\nAnswer: q**(-581\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4))\/((1620\/(-1280))\/(-27)). Which is the fourth biggest value? (a) -0.1 (b) k (c) 2\/7 (d) 0 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00355764875 to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10055?\nAnswer: 5, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 - 140*a**3 + 145*a**2.\nAnswer: -5*a**2*(a - 1)*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 3*a = -100 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9581249147 - -4?\nAnswer: -9581249143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6) + 0)\/(101 + 1926990\/(-19080))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33? (a) -1 (b) 5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/7924 and -30\/10471?\nAnswer: 293188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13810645 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/56 and 89\/96256.\nAnswer: 673792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**2 - 14*n - 47. What are the prime factors of q(-5)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/3575*(-40)\/24*187?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iou when three letters picked without replacement from giiggigauogiigogg?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*n = 174*n + 6137 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/48 and ((-5)\/(-4) + -1)*(-651)\/(-49).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.41, 4, -0.1, 2\/13 in descending order.\nAnswer: 4.41, 4, 2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4620 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14453171?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 22. Suppose 61*x = 57*x + 64. Suppose x*q - 31 + 207 = 0. What is u(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -13*l**4\/8 + 13*l**3\/6 + 34*l**2. What is the derivative of w(r) wrt r?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-44)\/(-6))\/((-1)\/3). Let b be (0 + 2)*33\/p. Let z be b\/((-4)\/((-32)\/12)). Sort -1, -0.2, z in decreasing order.\nAnswer: -0.2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6150 divide 426557850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 19478243*s. Let r(j) = -2*j. Calculate h(r(a)).\nAnswer: -38956486*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3\/9) + 3. Calculate the remainder when 146 is divided by -20 - -24 - (-21 + f).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r**2 - 67*r - 9. What are the prime factors of i(14)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v. Let t(i) = 2*i**3 + 8*i + 90. What is 6*l(y) + t(y)?\nAnswer: 8*y**3 + 2*y + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3 + 2*h**2 + 3*h - 3. Suppose -2*j = 13*j - 75. Let b = -7 + 12. Suppose b*d + j = 15. Determine u(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25443483 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (835\/1670)\/((1*-2)\/(-28)*1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(30)\/sqrt(3))*-6.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6236, -49984, -168730, -399968, -781192, -1349896, -2143574?\nAnswer: -3199720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945162 is divided by 696.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -880 - -880. Let g be (-1)\/(0 + 1\/(-1)). Suppose -v - 5 = 4*b - 0*b, 5*b + g = -3*v. Solve f*x + x - v = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Suppose d*i + 82 = 2*i. Suppose -3*q = w + w - 31, 11 = w - 3*q. What is the remainder when i is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89049 divided by 3\nAnswer: -29683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19172 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36455.\nAnswer: 5, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -128. Calculate the remainder when 50\/(-4)*(-352)\/p is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**3*r))\/(r\/r**(-5)))\/((r\/(r\/(((r\/(r\/(r*r\/(r*r\/r**(1\/5)*r)*r)))\/r)\/r)))\/((r**(-19)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-704303.6\nAnswer: 352151.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1346 = -m, -19*m + 8 = -21*m. What is the remainder when q is divided by 243?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 17*j**2 - 17*j - 8. Let y be s(-16). Suppose -q = 0, 5*n - 3*q = 6*n - y. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -14.184. Round k to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 221 = -2*o - 744, -5*o - 5*r - 2405 = 0. What is the common denominator of -33\/20 and 387\/o - 4\/(-10)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -4.6, 3, 0.1, -1\/182 in increasing order.\nAnswer: -120, -4.6, -1\/182, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -10 + 2. Let j(f) = 4*f**2 - z*f + 2*f. Let q(l) = 9*l**2 + 7*l**2 - 53*l**2 + 36*l**2 + 2*l**2 - 10*l**2. Give q(j(i)).\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-9)*-2*3. Let y = 1 + 2. Find the second derivative of -2*m**3 - m**y + m + 6*m**3 - l*m**3 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.0045 + 2. Round x to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 + o**2 - 9*o**2 + 9*o**2. Let d(y) = -3*y. What is n(d(x))?\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 17.9. Let k = q + -1.5. Which is the second biggest value? (a) 0 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8453 times 36\nAnswer: -30.4308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/((-4)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78951904 to the nearest integer?\nAnswer: 8885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -60, -61, -62, -63?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 6. Let u be q(-2). Suppose 4*f + o = -0*o - u, 4*o + 20 = -5*f. Calculate the remainder when (4 - 4 - -2)\/(f\/(-128)) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 10)\/((-2)\/9). Let m = t + -11. Is m > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 9:20 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (2 + 0 + -19 - (-2807 + 2789))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71*x**3 - 241*x**2?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.0172.\nAnswer: -0.00516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7 + 4 = 0. Let z be t + 1 + 0 + -1. List the prime factors of (-8)\/(-1)*z\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -197? (a) -0.4 (b) 0.1 (c) -50 (d) -5 (e) 1\/2 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - g**2 - g + 7 + 3*g**2 - 4. Let p be l(3). What are the prime factors of 444\/22 + p\/(-33)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 116 = 60111*z - 60116*z, -10*f = 2*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0491017 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45 times 5310036\nAnswer: -238951620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-34 - -15) + -12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47799 divided by -1017\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 40860?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 23*n - 1. Let v(j) = j**3 - 5*j**2 + 5*j + 2. What is the remainder when o(-12) is divided by v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11017352, 22034704, 33052056, 44069408, 55086760, 66104112?\n\"Answer: 11017352*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24843 divided by 652\nAnswer: -24843\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-2 + sqrt(88))*5*-5)\/(sqrt(32)*-4 - (sqrt(32) + sqrt(288) + sqrt(32)))*-4.\nAnswer: 50*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2999890486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-12 + -3) + 3 + 370\/(-65)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 10*o**2 - 110*o + 18. Let w be i(11). Calculate the greatest common factor of w and 954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012553 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83980.1 minutes in milliseconds?\nAnswer: 5038806000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 833362 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 10*p = 17*p - 28. Suppose 5 + 3 = 2*z. Let s(n) = 0*n - 2*n - n**2 + z*n. Determine s(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -15*b**4\/2 + 8105*b**3\/4 - 93285*b**2 + 4785885*b\/4 - 196830 = 0.\nAnswer: 1\/6, 27, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -0.6. Let g = 0.061 + -0.561. Let l = -0.2 + -2.8. What is the closest to z in g, l, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 357832 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -91*o**2 - 6*o + 30. Let k(y) = -76*y**2 - 5*y + 25. Let p(v) = 5*g(v) - 6*k(v). Let s(d) = -3022*d**2. What is s(p(r))?\nAnswer: -3022*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 4540*s**3 - 13525*s**2 + 45250*s.\nAnswer: -5*s*(s - 2)*(s + 5)*(s + 905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 49 = 30. Calculate the common denominator of -7\/6 and (g\/((-99)\/(-12)))\/(30\/25).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 50. Let m = 99 - 119. Let l be g(m). Solve -5*i - 15 = -l*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -6135.5.\nAnswer: -6135.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:34 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 241*h*x**3 + 407*x**3 wrt h?\nAnswer: 241*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36363243*j**2 - j + 42847325?\nAnswer: -72726486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 x, and 1 y when three letters picked without replacement from txpyyxpyyptwtypy.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181348*b**2*g**4 - 2*b**2 + 615456 wrt g.\nAnswer: 725392*b**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19873 and 36295.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -63229110.\nAnswer: 2\/31614555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - f**2 + f - 3. Let d(r) = 3486*r**3 - 4*r**2 + 2002*r - 12. Let v(g) = d(g) - 4*x(g). Find the second derivative of v(o) wrt o.\nAnswer: 20964*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*a + 271*a - 5203 = p, 2*p + 1292 = a. What is the greatest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30686369 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: Suppose 0 = -135*k + 132*k + 7005. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528.9 plus 34240509?\nAnswer: 34241037.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991627681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2 + 58368*d + 116728 = 0.\nAnswer: -29182, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n + 15 = -35*n. Let f be (-1 - -6) + 6 + -5. Solve -3*r + n*r + f = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2. Let t(z) be the second derivative of 41*z + 0*z**2 + 0*z**3 + 0 + 1\/12*z**4. What is x(t(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 192960 divided by 64\nAnswer: 3015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9 - 6*l**3 - 9 + 5*l**2 + l**2 wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 312 + 1239. Does 47 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89510955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {r: 3, m: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 934387967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 126\/9613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.046 in -2, -21\/5, 6, 8, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 2*i**3\/3 + 9367. Suppose 168 = -2*a + 5*a. Let y(n) = -175*n. Let h(w) = -16*w. Let q(b) = a*h(b) - 5*y(b). Give d(q(s)).\nAnswer: 882*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.39 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 2*h - 28. Let t(n) = -n**2 - 2*n - 27. Calculate -5*m(q) + 4*t(q).\nAnswer: -9*q**2 + 2*q + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.2633 to one decimal place.\nAnswer: -49.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 15*k**4 - 10802*k**3 + 1065195*k**2 + 932736*k - 143276 = 0?\nAnswer: -1, 2\/15, 119, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22886257.\nAnswer: 3881, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -139 - (-7 - (-8 + 36) - (45 + -58)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18ba4 (base 15) in base 4?\nAnswer: 103211332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25488 + 25548.225. What is q rounded to 1 decimal place?\nAnswer: 60.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = 54. Let j be 9*8\/(-12)*-6. What is the greatest common factor of c and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.28, -36, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 165, 4, -6, -0.202, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507000 rounded to the nearest 10000?\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a + 76. Let k be b(5). Solve 15*m + k = 7*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45460169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9087521123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -174.435 - -321\nAnswer: 146.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 7*w**2 - 6*w**2)*(-2*w**2 - 4*w**2 + 7*w**2) + 3*w**4 + 0*w**4 - 4*w**4.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 5*k**2 - 6*k + 12. Let y be r(5). Suppose 0 = 4*l - q - y, 4*l - 3*q = -0*q + 359. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 6*h - 4. Let a be i(-2). Let p be (-12)\/(-20) - (-427)\/5. Suppose -6*w = -a - p. Solve -w = -3*b - 0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y + 89*y = -5092 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 139 - 4*p**2 - 124 + 4*p**2 + 3*p.\nAnswer: -8*p**2 + 3*p + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529442 is divided by 529439.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2 + 0*p + 0*p + (0 + 4 - 3)*(-4*p - 2*p - 3*p))*(-9 + 11 - 3*p + 1).\nAnswer: 21*p**2 - 15*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 + -25. Let d = s - 0.2. Which is the closest to -0.01? (a) -4 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7150085 is divided by 1730.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98608 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 36 - (80 + -69) - (105 - 5)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 12:59 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 2664?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 0 + 0 + (o - 3*o + 4*o)*(2 - 2 - 2) + 3*o - 6*o + o - 2 - 2*o + 2 - 2*o + 0*o + 4*o + 2*o - 5*o - 8*o + 13*o + 11*o - 8*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*m + 426, 2*k - 3*k + 527 = -5*m. Let q be (-18)\/(-4) - (m\/(-14))\/5. Solve -q*p = 10 + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2341078\/275 - 8513. Let b = -1812\/275 - j. Calculate the common denominator of -23\/3 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130153, -130166, -130197, -130246, -130313?\nAnswer: -130398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 35*n**2 + 186*n - 894. What is the tens digit of v(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 21 = -26. Is 11 a factor of 50*p*(8 + -10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29\/(-2) + 1\/(-2). Let i = -12 - x. What are the prime factors of i\/(-3 + (-39)\/(-12))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21, -4\/5, -2\/9, -40.6, -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 12) + -4 + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2849, 2815, 2781?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = -0*b. Suppose 0 = 4*l + b*d - 61, -l + 4*l = -d + 42. Factor -24 - 5*z**2 + l + 11 - 10*z.\nAnswer: -5*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 838 - 507. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**7\/70 + k**6\/40 + k**5\/20 - k**4\/8 - 23*k**2. Factor n(d).\nAnswer: -3*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10644718 and 1030134.\nAnswer: 31934154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 137344324*s - 2357932916877122.\nAnswer: -2*(s - 34336081)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/12)\/(2\/(-8))*288. Let i = -359 - y. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 20. What is the remainder when 82 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, -0.3, 2\/15, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192422124?\nAnswer: 2, 3, 67, 79777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -648 - -648. Suppose 19 = -2*h + 3*k, 3*h - 2*k = h - 16. Which is the second smallest value? (a) w (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t - t**2 + 46*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -14. Put s, -2, 9 in ascending order.\nAnswer: s, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**3 - 372575*q**2 + 6946749935*q - 228837193365 = 0.\nAnswer: 33, 37241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -907 (b) -4\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 13) to base 4\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5390 = -6*o + o. What is the hundreds digit of (-17)\/(-85) + o\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) -5 (b) -4 (c) -777 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(19\/5)\/o)\/(o\/(o\/(o**(2\/7)*o))) assuming o is positive.\nAnswer: o**(53\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let p(c) = -4*c**2 + 0*c + 1 - 4*c + 2*c + 3*c**2. Determine p(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 + 226374*c**2 + 452742*c + 226370 = 0 for c.\nAnswer: -113185, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22733.14*0.5\nAnswer: -11366.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*sqrt(1100)*1 - sqrt(1100) - (0 + 2*sqrt(1100)))**2.\nAnswer: 70404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 37736352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**11\/x)\/x))**(8\/17) assuming x is positive.\nAnswer: x**(-72\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + 689. Suppose -5*s = -w + 191. Does 52 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -235, -408, -561, -688, -783?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 2*p, -110*p + 108*p + 9 = m. Put -5, m, 0, -78 in descending order.\nAnswer: m, 0, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 20. Sort -2\/17, g, 8 in decreasing order.\nAnswer: 8, -2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytmm. What is prob of sequence tyyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -941903, -941877, -941851, -941825, -941799?\nAnswer: -941773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/31, 28 in ascending order.\nAnswer: 2\/31, 2\/9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912322 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -93\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**3 - 5*i + 30. Give f(-4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*((-90)\/55)\/(-9))\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (1 - 6) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Suppose u*i = 3 + 5. Let v(g) = 5*g + 7. Let z be v(-1). Solve 4*w + i = -3*d - 1, 25 = -3*w + z*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 23*h + 66. Calculate the remainder when u(14) is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00333109 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, v: 4, f: 9, y: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 7*d**2 + 4*d + 3. Let m be o(6). Let p = m - -9. Which is the second biggest value? (a) 3\/4 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 - (-5)\/((-20)\/(-12)). Let m be (-10*4)\/4*b\/2. Let v be (-14)\/m*10*-6. What is the greatest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 + -80.09. Let h = 1051.0073 + -1050.91730037. Let d = l + h. What is d rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {d: 2, q: 8, y: 8}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 + 6*i + 5. Let g be r(-1). Find the first derivative of -42*c - 30*c - 74 + g*c - 7*c wrt c.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -486 divided by 1.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 + 560*g**3 + 904*g**2 - 49040*g + 155100 = 0. What is g?\nAnswer: -11, 5, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 397*d**2 - 955*d - 4897. Calculate w(196).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(11) - sqrt(22)\/(sqrt(10)\/sqrt(5))) + sqrt(99) + 0).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710563547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3960150?\nAnswer: 2, 3, 5, 17, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8133 divided by -3.\nAnswer: 2711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s - s. Let p be 24\/(-12)*(-1)\/5. What is the closest to -1\/3 in s, p, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 12. Let i be a(-8). Let x be 1 + (i + -1 - 1). Let v(h) = x*h + 2*h**2 - 3*h. Let u(o) = o. Calculate u(v(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92298299?\nAnswer: 92298299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -6\/35, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100) + sqrt(100) + -1*sqrt(100)*5)\/(sqrt(5) + sqrt(20)\/sqrt(4)*6 + sqrt(5)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002534 is divided by 9282.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 18*m + 402. Let s be q(-22). Put 4, s, 1, 13, -2 in descending order.\nAnswer: 13, s, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from qmffyfyqfgmggfmmyf?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/6)\/((-3)\/(-39)*(-416)\/96).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 1)\/((-2)\/(-1)). Let o be (-3 + 3)\/(1\/k). Is (-115 - o)\/(4 - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*t - 609 = 0, v + t = -2*v - 471. Let n be 2 - 3 - (-15)\/(-12)*124. Are n and v unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 660.9258 micrograms to nanograms.\nAnswer: 660925.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-33)\/(-55)*10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11*54\/(-198))\/(6\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1118\/715 - (-12)\/(-33)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1674 and 429201.\nAnswer: 79831386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15670+0.188\nAnswer: 15670.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034860197 to the power of 1\/2, to the nearest integer?\nAnswer: 32169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568556473 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**4 - 880 - 1938 + 3*m**4 + 232*m - 201 wrt m.\nAnswer: 4*m**3 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4362838162.\nAnswer: 2, 2181419081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1644625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 39ddf (base 16) to base 9\nAnswer: 401118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:59 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + 180 + -132 + -16.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 20 = -0*v. Find the second derivative of -4*o**2 + v*o**2 - 2*o + o**4 + 7*o wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 - (-11)\/3. Let f be (6\/(-9))\/(j\/(-6)). Calculate the remainder when 41 is divided by (21 - -3) + f*-3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*s**4*t**2 + 96270*s**3*t**3 + s*t**3 + 4*s*t**2 - 49653*s*t + 3*t**3 + 2*t wrt s?\nAnswer: 228*s**2*t**2 + 577620*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1371644.76300844 - -1371866.763. Let q = p - 222. Round q to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/9*9)\/1. Solve -u - 5*k = 20, u + 21 = -q*k + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 27. Solve 0 = 3*w + 2*c - o*c - 1, 3*w - 29 = 5*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 + 9*l**2 + 9*l - 11. Let a = -5 + 8. Let m(w) = 3*w + w**a + 5*w + 4*w**2 - 2 - 3 - 4*w. Let f(r) = 4*g(r) - 9*m(r). Differentiate f(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 1\/6*o**3 + 2*o + 3\/2*o**2 + 0. What is x(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 10:52 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -17*p**2. Let j = -33 - -49. Let m(w) = 31*w**2 - 32*w**2 - j + 16. What is m(h(r))?\nAnswer: -289*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2238, 4594, 6950, 9306, 11662, 14018?\nAnswer: 16374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f + 21*f - 5 - 13*f + f**2. What is the units digit of x(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 249\/17 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187.8 + -188. Let b = 1 + -0.9. Let m = b + -0.2. Put j, 2\/7, m in ascending order.\nAnswer: j, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*r - 31. Let h be (-36)\/(-16) - 9\/(-12). Suppose -h*p + 4*w = -22, -3*w + 7 = 2*p + 2*w. Calculate the lowest common multiple of p and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 0.5462?\nAnswer: 0.5462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -183, -301, -439, -603, -799, -1033?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3*42*((-936)\/(-91))\/(-36)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855835*q**3 + 484535*q**3 - 2596012*q**3.\nAnswer: -2967312*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8981*7\/(5 + -1 + -3). Suppose -g + 5506 = -19*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197.49 + -0.49. Let j = -196.8 + t. Which is the closest to j? (a) -4 (b) -1\/2 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c*c**(-3))*c)*c**(2\/5)\/c*(c*c**(-1)*c)\/c**7 assuming c is positive.\nAnswer: c**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33300314021 + 12?\nAnswer: 33300314033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.7 + -1.5. Let y = o - -28.20000127. What is y rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:49 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92887 is divided by 46406.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -34*d**3\/11 - 33452*d**2\/11 + 70984*d\/11 - 7888\/11 = 0.\nAnswer: -986, 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 14290320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50775 by 306.\nAnswer: -16925\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -61b (base 13) in base 11?\nAnswer: -864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -28. Calculate the remainder when f is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/9 (b) 2 (c) -0.15 (d) -7\/4 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -689*t**4 + 995*t**4 + 1988*t**4 - 5 + 12*t**2 - 4 - 9*t**2 wrt t?\nAnswer: 55056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-3) + (-3 - 17\/17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 46.946. Let o = 119.94944 - 120. Let g = o + x. What is g rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4670882.5 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-5 - (-3)\/1). Suppose 2 = a, 2*w + a = -d*a + 6. Suppose 0 = 5*b - 2*o - 2*o - 45, w = -3*b - 3*o. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4310.6, 0.1?\nAnswer: 4310.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5744097 a multiple of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.17, -396, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 19931 - 41092 + 20483.\nAnswer: o - 678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/40 and 19\/268952.\nAnswer: 1344760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343329360 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 76\/(-6) - (-7)\/21. Suppose 3*g + 0 = v. Solve -p + 0 = -3*x + g, -3*p = 5*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 35. Determine y(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9559143 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 25*m - 24. Let r be -11 + -2 + -5 + 4. Is j(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -9725905.\nAnswer: 9725905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54375095609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -207*y + 406*y + 896*y - 15330 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14898.6 at most 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o - 6*o)*(5 + 1 - 3 + (-2 + 3 + 0)*(2 - 2 - 1) + 3 + 3 - 4 + 26 - 43 + 19) + (0*o + 5*o - 3*o)*(1 - 2 - 1).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*k - 170, -3*k = 5*b - 142 + 4. What is the highest common factor of k and 451?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2)\/((0 - 21)\/(-3))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4150.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l. Let m(s) be the third derivative of 2*s**4\/3 + 7*s**3\/3 + 131*s**2 + 5. Determine m(z(j)).\nAnswer: -48*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 8*c - 5. Suppose -4*f - 2 = -2*f. Let u(r) be the first derivative of 8 - 1\/2*r**2 - r. Give f*m(o) + 6*u(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 5*g**2 + 4*g + 5. Let s be c(4). Let z(w) = 2*w - 8*w + s*w + 3. Let j be -2*(55\/10 + -4). Calculate z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/14*329\/282.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.443 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 23*n + 33. Let x be a(-4). Solve -m + 3 = -k, -2*k - x - 1 = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*h = -14, 0 = 5*v - 4*h - h - 5. Find s such that 265*s**v + s**2 - 264*s**4 - s**3 + s**5 - 2*s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1557110 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**4 + w**3 + w**2 - 3*w. Let q(t) = 3671*t**4 - 6*t**3 - t**2 + 163*t. Let j(k) = q(k) + 6*x(k). Find the third derivative of j(h) wrt h.\nAnswer: 88824*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16453 + -1233922\/75. Does r = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -3775\/71293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 412 and 20.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 9*n - 2*n + (-2*n + 2*n + n)*(1 - 1 - 2) + 0 + 0 - n + 4*n - 3*n - 2*n)*(3*n - 3*n + n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 2 - 2 + 3 + 2 + (1 - 2 + 2)*(4 + 0 + 0))*(4*l + 7*l - 4*l) to the form d + p*l and give p.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = 19*w + 130. Let y(b) = 9*b - 74. Let s be y(w). Solve -2*a - 6 + s = 0, -a + 5 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5 - m**3 + 0*m - 2*m**2 - 2*m - 3*m**2. Let q(p) = -p**2 + 9*p - 5. Let k be q(9). Let s be b(k). Solve -w = -6*w - s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133563*i**3 - 12*i**2 - 2639029*i.\nAnswer: 801378*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -49*m - 84. Let k(w) = -w - 2. Let f(o) = -i(o) + 42*k(o). Let y(v) = 34*v**2. Calculate f(y(c)).\nAnswer: 238*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -110\/27?\nAnswer: -110\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*j**6 - 5*j**4 - 2*j**2 - 461*j wrt j?\nAnswer: -4080*j**3 - 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -123.51. Let c = 52664073 + -52664072.50999753. Let y = c - t. Round y to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 2, b: 1, l: 5, h: 6}. Give prob of picking 2 h and 1 l.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -36. Suppose 8*u = v + 6. Solve 2 = -m + u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 14. Let r be (1\/15)\/(6\/12). Sort 4\/9, v, r in decreasing order.\nAnswer: 4\/9, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*b - 5*s, -b + 4 = 5*s - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 + 62.7. Let z = -0.3 - h. Which is the closest to 3? (a) z (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - -10) + (-32 - -82) + -82?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f**(-2\/13)\/f)\/f*f)*f*f*f*f\/f**10 assuming f is positive.\nAnswer: f**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/33*52507\/(-12117)?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**5*k - 14836310*i**3*k + 18*i**2*k - 43*i*k - 94*k wrt i.\nAnswer: 120*i**2*k - 89017860*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**4\/12 + x**2. Suppose 2*w + 1 = -3*a + 2*a, -w + 2 = 3*a. Let t = -1 - -2. Let r(f) = -1. What is t*r(l) + w*z(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38 - -8895086075.\nAnswer: 8895086075.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-4)*(-128)\/(-32). Let o be (-4)\/(-32) + w\/176. Determine b, given that 0*b + 6\/11*b**3 + o*b**2 + 6\/11*b**4 + 0 + 2\/11*b**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let g = -0.3 - 0.7. Let d = g - -0.8. What is the nearest to u in -3\/8, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1298990, -1298882, -1298774, -1298666, -1298558?\nAnswer: -1298450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -486 + 488. Let m = 0.5 + 0. Put -5, m, -0.4, c in descending order.\nAnswer: c, m, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(48) + sqrt(48) - 2*(1*sqrt(3))**2.\nAnswer: -6 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2 - 4*b - 1. Let j be g(5). Solve j*u = 3 + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*1)\/(4\/8). Suppose 27*w = 26*w + 49. Let x(m) = -23 - m**2 - 46*m + w*m + 19. What is x(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y + 2. Let p be t(0). Suppose -32*i = -105*i + 365. Suppose -15 = i*c, 3*w - 3 = 2*w - p*c. Calculate the remainder when 23 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lslssssslsl. What is prob of picking 2 s?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -1. What is the third derivative of z - 6 + 20*d**4 + 0*d**4 - 26*d**2 wrt d?\nAnswer: 480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291585 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291738 to the power of 1\/2, to the nearest integer?\nAnswer: 1514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 436613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -2534.5 and 70142816.72.\nAnswer: 70140282.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*c - 18 + 8*c + 11*c - 3*c + c + c + (6 + 1 - 4)*(-4*c + 2*c + 4*c).\nAnswer: 9*c - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37340 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/19 - 28*n\/19 - 64\/19 = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w + w**3 - 7 - 3*w**3 + 9*w**3. Suppose 0 = y - 0*y + 14. Let n = y + 18. Let s(v) = -6*v**3 - 5*v + 6. Determine n*p(g) + 5*s(g).\nAnswer: -2*g**3 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by -2?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let v be (10\/15)\/2*-9. Let h be 2\/v*(-93)\/(-155). Which is the third smallest value? (a) w (b) h (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3893?\nAnswer: 5\/3893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, -2\/3, 0.3, -0.1, -2.038?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**4 + 2160*l**3 - 8673*l**2 + 10854*l - 4344 = 0.\nAnswer: -724, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13*s*(s\/(s**(1\/5)\/s*s*s))\/s*(s\/(s\/(s*s**(-14))))\/s**(2\/65) assuming s is positive.\nAnswer: s**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/63*(2 + -5). Let m = 0.04 - -0.36. Let x = 76\/7 - 11. What is the closest to p in x, m, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2097 - 14677\/7. Let p(f) = 2*f**2 - 4*f + 3. Let y be p(2). Suppose -3*i = 3*k + 18, i = y*k - 2*k - 4. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.129, -278, -7, 0.2?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 6 + 18 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1812)\/45 - 2824\/(-1059))*5\/2\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (82 - (-60 - -94))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06007159 to 3 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1142 + 10?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utx when three letters picked without replacement from {x: 1, t: 1, g: 2, l: 1, u: 2, h: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34256)\/4282*495\/(-40).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 462*t**2. Let j(q) = -q. What is j(k(p))?\nAnswer: -462*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106*c**3*u**2 + 5*c**3 - c**2*u + 48*c wrt u?\nAnswer: 212*c**3*u - c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 2*c**3 + 0*c**3 + (-79561 + 79561 + 101*c)*(-14 - 6*c**2 + 16*c**2 - 9*c**2) as j*c**3 + k*c + s*c**2 + h and give j.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53834819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.11 and -0.14777.\nAnswer: 2.0850347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5885*p**5 - 370*p + 11370*p**5 - 5969*p**5 wrt p?\nAnswer: -9680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 677?\nAnswer: 26\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61409039176.99998963 - -61409039551. Let a = 374 - j. What is a rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**5\/60 + 7*v**4\/24 - 3*v**2\/2 + 6. Let i(b) be the second derivative of r(b). Find the second derivative of i(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 41*o - 7. Let b be c(-41). Put -0.06, b, 0.8 in descending order.\nAnswer: 0.8, -0.06, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**2 + 2*q + 3. Let m(y) = 4*y + 6. Let d be m(-1). Let f(v) = -3*v**2 + v + 2. Determine d*x(i) - 3*f(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39 + 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -135 - (1 + 4 + -7). Let t = s - -233. Suppose -8*k = -5*k - 51. Calculate the remainder when t is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + -1 + (-2)\/(-1). Is (11\/2)\/(1\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33452065 by 777955.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 12 - (-9 - -3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*l + 6*f - 4*f, 2*l - 4*f - 18 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.1 and -31.\nAnswer: 530.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, v: 6}. What is prob of sequence wv?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 4*h + 4. Let r be q(2). Is -4 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266846422.\nAnswer: 2, 133423211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 2*o + 182 = 0, 0 = -2*r - o + 71. Let l be (2 + -3)*(3\/(-1) + r). What is l rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + -90. What is the nearest to 6\/7 in 5, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11969 = -4*t + 4805, 4*a - 9583 = -5*t. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -510*s**4 - 10205*s**3 - 6220*s**2 + 220260*s + 2160 = 0?\nAnswer: -18, -6, -1\/102, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3073.6386 nanoseconds?\nAnswer: 0.0000000008537885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -1, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htiittihtt. Give prob of sequence itt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -8. Let x = 2 + 4. Let v be 32\/x - 4\/(-6). Solve v - 16 = -n*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-2) - (-189)\/27. Suppose f = 2*l, -2*d + 0*d - 3*l + 647 = 0. Let y be d\/16 + (-1)\/(-4). Solve 5*r - r = y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -46. Let h = 23 + i. Sort h, -0.2, 1\/5 in decreasing order.\nAnswer: 1\/5, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 6*p + 9*p + 512, 4*p + 1561 = 3*q. Calculate the greatest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v**3 - 9*v - 2. Let a(l) = -27*l**3 + 17*l + 5. Let z be (5 + 3)\/(-4)*-1. Let f(y) = z*a(y) + 5*x(y). What is the second derivative of f(h) wrt h?\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11\/t*t\/(t\/t**(-4\/19))*t**(-24)\/t*t**(-5\/4))**(-2\/83) assuming t is positive.\nAnswer: t**(1251\/3154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. What is the lowest common multiple of 4 + -8 + 3 + 2*6 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880*m - 43485 = 2450*m - 109425 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 111, 183?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 101010101?\nAnswer: -101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 8. Solve 0 = -j + c*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 60 - 30 + 54*l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3 - 187*n**2\/4 - 379*n\/4 - 53\/2 = 0 for n.\nAnswer: -53\/4, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) - -4*sqrt(180)\/sqrt(3))\/(2*-2*sqrt(10)))\/((sqrt(648)*-2)\/(sqrt(4) + sqrt(36)\/(sqrt(9)*-2) + sqrt(4))))**2.\nAnswer: 25\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, f: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-11 - -9) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22.1047835 - 1155807\nAnswer: -1155784.8952165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -118762 >= -118811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 20 = -5*t + 33, 5*v = -5*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24752 - -24161?\nAnswer: 50023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 + 77. Let t = m + 143. Let x(y) = y**2 - 9*y + 11. What is x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212857?\nAnswer: 17, 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 215?\nAnswer: -1\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ene when three letters picked without replacement from {e: 9, n: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 138255 divided by 5\nAnswer: 27651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1, 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/2)\/(-6) + 1. Let g be (-34)\/(-136) - t\/((-4)\/199). What is the greatest common factor of 75 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**3 + 2*w**2 + 4*w + 1. Let c = -6 + 9. Let g be x(c). Let o = -68 - g. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**4\/12 + x**3 - 9*x**2\/2 - 3*x. Let j be p(-7). Put 2, j, 5 in ascending order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 5824\/(-442)) + -7*91\/238.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7204424 and 39624332.\nAnswer: 79248664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**3 - 2*p**2 + 3. Let h(a) = 4*a**3 - 136*a + 2*a**2 + 124*a + 12*a - 4 + 2. Suppose n + 1 = 3. What is n*y(j) + 3*h(j)?\nAnswer: 2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 - (-6 + -8). Let q = j - 5. Suppose -3*d = 4*n - 34, n - 2 = -d + q. What is the highest common divisor of n and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/((-76)\/(-456)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585 - 9583*t - 585.\nAnswer: -9583*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8927361\/1924 - 4640. Is f less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1532, 6129, 13790, 24515, 38304, 55157?\nAnswer: 75074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1ab?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -19. Let i = w - 14.76. Let t = 0.36 + i. What is t rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9630)\/(-10700) + 53\/30?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0 (c) 3432 (d) 2 (e) 43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148 - 58. Suppose l - 4*q - 10 - 29 = 0, 3*l = 3*q + j. Let v = l + -15. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*f - 111*f = -4410. What is the highest common divisor of 3171 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -3. Suppose 0 = r + 2 - z. Suppose 3*c - 8 = 2*d, -2*d + 0*d = -2*c + r. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**4\/22 + 50*x**3\/33 + 2*x**2 - 96*x\/11 + 6400. Factor c(z).\nAnswer: 2*(z - 1)*(z + 2)*(z + 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4377 in 2\/97, 4, -1\/109?\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 5*v. Let f be ((-4)\/16)\/((-21)\/(-12)). Is v at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*n - 22, -2*m + 2*n = -6 + 28. Let p = -9 - m. Suppose 0*v + p*v + 37 = 3*a, -2*a + 26 = -2*v. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7376.6 or -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 5, -8, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/579642 and 64\/25737.\nAnswer: 13331766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-2 + (4 - 6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 13. Let m be v(-9). Sort -2, 3, m.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001011110111011001 (base 2) in base 3?\nAnswer: 1120102110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 55*o - 15. Let n be a(26). Is 20\/90 + n\/(-27)*8995 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 21 and -0.0469.\nAnswer: 20.9531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48530 is divided by 1559.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1588726\/36 - ((-253)\/(-44) + -5). Let v = m - 44134. Calculate the common denominator of v and 131\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/7 - (3353360\/560)\/167?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1911193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-6 + 4 + 0) - 1 + 2 + 1 + 1 + 3 - 1)*(-5 + 2*r - 4*r + 4).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5523 is divided by 610.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 5, 2\/9, 41.9, 4.\nAnswer: 2\/9, 4, 5, 21, 41.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26170110 and 3636?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j - 7. Let l(p) = 8*p - 8. Let y(g) = -3*c(g) + 2*l(g). Let b be y(4). Let h = -1 + 3. Put 5, h, b in descending order.\nAnswer: 5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/12 - 97*p**2\/8 + 24*p + 1276. Let i(w) = 0. Calculate w.\nAnswer: 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 2a?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -0.09, -5, -12\/11, -1\/2 in increasing order.\nAnswer: -5, -12\/11, -0.8, -1\/2, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(-4)))\/w)**(-4\/5)\/(w**(-28)*w**22*w))**(1\/9) assuming w is positive.\nAnswer: w**(13\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -193 - -1739\/9. Let b = -0.356 - -0.056. Let z be (3 - 2)\/((-2)\/(-14)). What is the nearest to z in n, -0.5, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000657 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 505.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:27 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 9 (b) 0.2 (c) 1\/3 (d) 29 (e) -2036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126434 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-8)\/(-6) + -2). Let z = 8 + k. Find the second derivative of -z*m**5 + 2*m + 5*m**5 - m wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + c. Let g be 42\/(-12)*8\/(-14). Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 858 = 6. Let q be (-27)\/(7 + x\/(-30)). Suppose -3*k + 216 = -54. Calculate the greatest common divisor of q and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/28 + 40\/(-7). Let r be 3\/(t\/(-4)) + -2. Suppose i - 2*w - 631 = 0, -2*w = -r*w. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 11 = -3*g, 2*g = 2*q + q + 4. List the prime factors of ((-2)\/(-4))\/(q\/428).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 491, -291, 3 in increasing order.\nAnswer: -291, 3, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 1\/43343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3130, -11842, -26362, -46690, -72826, -104770?\nAnswer: -142522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68ab + 4?\nAnswer: -68a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in years?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -51*j**4 + 3*j**3 + 3*j - 40. Let l(a) = 153*a**4 - 8*a**3 - 8*a + 120. Let y(r) = 3*l(r) + 8*q(r). Differentiate y(o) wrt o.\nAnswer: 204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + s**5 + 2*s**4 + (-s**3 - 3*s**3 - 13*s**3)*(3*s - 4*s + 3*s**2 + 2*s).\nAnswer: -50*s**5 - 17*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -1\/7 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let l be 2922\/(-4870)*(-10)\/69. Which is the nearest to l? (a) 0 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7163 - 919*u**2 + 25*u**3 + 7165 + 919*u**2.\nAnswer: 25*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*p**3 - 4*a**2*p**2 + a**2*p + 2*a*p**3 - 3*a*p**2 - 2*p**4 - 2125*p**3 - 57746*p**2 wrt p?\nAnswer: 12*a**2 + 12*a - 48*p - 12750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/24 + (-345)\/920. Let k be (6\/(-16))\/(6\/(-4)). Which is the nearest to 8? (a) 1 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -858*y + 105*y - 336*y - 788*y.\nAnswer: -1877*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11022 is divided by 408.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 393070 and 9040610?\nAnswer: 9040610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 3. Let k = 98 - 101. Let p(h) = -6*h + 10. Let j(d) = k*p(d) + 10*y(d). Let i(s) = -23*s. What is i(j(q))?\nAnswer: 46*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58298947 - -1602800.\nAnswer: 1602800.58298947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 151*k**2 - 10*k + 9*k + 4*k as u*k**2 + h + i*k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**7\/p)\/(p\/p**(-1\/4))*p\/((p\/(p**(-1\/3)\/p))\/p)*p**4*p assuming p is positive.\nAnswer: p**(125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 3. Let t be z(0). Suppose -t*c + 10 = -d - 5, 25 = 5*c + 4*d. Solve v + 19 = -2*i - 4*v, v - 10 = -c*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00352924725 to 6 dps.\nAnswer: -0.003529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*o + 5, 2 = 2*a + 2*o - 3*o. Let y = -439 + 794. Is (a + y)*(-1)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -85, -115, -129, -121, -85, -15?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-59 + 27 - -34) + (-1 - -76))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(-38)\/(p**(-8)\/((p\/(p*p*p**(1\/3)*p*p))\/p)) assuming p is positive.\nAnswer: p**(239\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8740?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1495*n**3 - 1621*n**4 + 1495*n**3)*(-3 - 4 + 14).\nAnswer: -11347*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8771887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/545 + -48547\/3270. Let x be 1\/3 + (-62)\/6. What is the common denominator of (158\/80)\/(x\/25) and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/16)\/(63\/(-28)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2437+105.0428\nAnswer: 105.2865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 558 - 561. What is the third biggest value in 3, -8.6, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 + 98. Suppose 14*f = d*f + 20. Let h(w) = -w**2 - 6*w - 5. Let u be h(f). Solve -5*v - u + 28 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(2 + 3 + -4). Solve 2*u = -4*h + u - 3, j*h + 4 = 2*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + s - 1. Let c be p(-2). Solve -5*j - 23 = 2*o, -2*j - c + 2 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 3, -22, -81, -186, -349, -582, -897?\nAnswer: -1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10772\nAnswer: 5\/10772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03691 - 91493581.\nAnswer: -91493580.96309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 12, 3*c = 8*c + 5*t - 8170. Suppose -5033 = -17*y + c. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -331600, -663178, -994756?\n\"Answer: -331578*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*g + (-2*g - 2 + 2)*(2 + 1 - 1) + 2*g - 2*g + g + (-1 - 1 + 3)*(-3 - 2*g + 3) + 13*g - 4*g + 0*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 93*m**2 + 460*m - 3315. Calculate h(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55 + 3\/1 + 1. Suppose u = 3*m + 3*c - 22, -2*m - 3*c + 50 = 0. What is the greatest common factor of m and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 217, -1, -533, -2 in descending order.\nAnswer: 217, -1, -2, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (2 - (-16)\/(-6)). Let z = -22 - -17. Let m = 0.29 + 2.71. What is the nearest to -1\/2 in a, z, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1768 and 23919.\nAnswer: 2487576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**8\/8 - 2*i**7\/7 - 11*i**5\/10 + 3*i**4\/4 - 76*i**3\/3 + 10*i + 43. What is the third derivative of f(l) wrt l?\nAnswer: -840*l**3 - 720*l**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 - 390*m - 1368. Let g be i(-93). Solve 92*b - 126*b + g = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-1*3\/321). Let f = d - -643. Let g = -115 + f. What are the prime factors of g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 7*s**4\/12 - 10*s. Suppose 0 = -0*w - 2*w. Let h(t) = t**2 + 2*t - 2*t + w*t. Determine j(h(r)).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12678921 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*y + 3494 - 3744 - 5*y + 362*y**5 - 11*y wrt y.\nAnswer: 7240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*b**2*w**2 - 109622*b**2*w - 215*b*w**2 - 1410*b + 2 wrt b.\nAnswer: -140*w**2 - 219244*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 + 3*r**5 - 3*r**5 + (1 - 2*r - 1)*(2*r**4 - 2*r**3 + 2*r**3) + 10*r**3 - 17*r**2 - 11*r**3 + 8*r + 27*r**2 + 2*r**5.\nAnswer: -r**5 - r**3 + 10*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -4*((-216495)\/10)\/17. Calculate the highest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - -20 - (0 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.03 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-9)\/(l**(1\/28)*l) assuming l is positive.\nAnswer: l**(-281\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - c)*(-2 + 3 - 2) - 1 + 1 + 2*c + (0*c - 4*c + 2*c)*(-4 + 0 + 3).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 35*o**2 + 123*o - 35. Let x be j(-31). Let q = -791\/1044 + 2\/261. Which is the third biggest value? (a) x (b) q (c) 0 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 6*i - 1. Let j be n(-5). Solve -2*y - y = 4*l - 17, j*y - 2*l - 8 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 16. Let w be f(13). Let z be (w + -1)*(-39)\/(-26). Is (-1)\/z - 140\/(-6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.967 + 0.033. Let c = 3 - j. Let p = c + 19.00000016. What is p rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 4*m + 0*m)*(-2*m**2 + 2 - 2) + 2*m**3 - 5*m**3 - 6*m**3 + 0*m**3 - m**3 - m**3 + (0*m + 0*m + 2*m**2)*(-4*m + 5*m - 2*m).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 782 + -5a?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 24*n + 1956. Give c(-81).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 20. Let k be (-60)\/27 + u\/(-18). Let s be -2*(-34)\/4 + k. Calculate the greatest common divisor of s and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273733 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-4 + -5) - (-18 - -3)) + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201814?\nAnswer: 2, 100907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o - 7*o + 29*o)*(-2*o**3 - o**3 + 2*o**3).\nAnswer: -33*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*l + 3*o + 2, -o = -5. Solve 2*c = l + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27649180058 - -0.99\nAnswer: -27649180057.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10764 or 10153?\nAnswer: 10153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24026738 - 16989262 = -12*c. What is c rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19693, -78363, -176111, -312937, -488841, -703823?\nAnswer: -957883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -31*b**3 + 2*b**2 + 3*b - 3. Let t be y(2). Let a = 1691\/36 - 440\/9. Calculate the common denominator of t\/30 + -1 + -2 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*t - 248 = 0, -9*h + 3*t + 238 = -8*h. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*l**4\/2 - 4461*l**3\/2 - 495*l**2.\nAnswer: -3*l**2*(l + 165)*(9*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -429, -614, -777, -912?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 14*j**5\/5 + 4*j**3 - 10. Find the third derivative of t(y) wrt y.\nAnswer: 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19440068 and 7343.\nAnswer: 136080476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 4. Let r be k(-6). Suppose 5*v - r = 5*c, -v = -9*c + 4*c - 12. Let l be c\/12 + 17\/102. Solve 3*j + 1 + 2 = l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7469\/5 + -1494. Sort -1, -160\/9, o in increasing order.\nAnswer: -160\/9, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2109193 is divided by 54080.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/5 + 12243692*r**3\/5 - 18738499223858*r**2\/5 = 0. Calculate r.\nAnswer: 0, 3060923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 4*f**2 - 10*f + 78. Let n be k(5). Let w(c) = -14*c + 2. Let o be w(-2). Suppose 0 = -0*u - n*u + o. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -91\/3, 2\/11, 0.2, -1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.2 (b) 64 (c) -3\/4 (d) -3\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 27*h - 34. Let g be 15 - (0 - (3 - 7)). Let o be d(g). Suppose 2*x - 268 = -3*p + 3*x, 3*p - 2*x - o = 0. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g + 24*g + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139\/1326 - 60\/221. Which is the nearest to u? (a) -0.4 (b) -142 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*v**3 - 4*v + 5*v**2 + 7*v + 11*v**3 - 18*v**3 - 26*v**2 + 3 as q*v**2 + r*v**3 + z*v + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - x. Let p(v) = 3*v**2 - v. Let m(g) = 5*p(g) - 5*t(g). Let s(n) be the second derivative of -n**3\/3 + 8*n. Determine m(s(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -2\/3, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 115*w**6\/6 + 47*w**2 - 77. What is the second derivative of d(i) wrt i?\nAnswer: 2300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -66*j - 4233. Let u = j - -84. What is the greatest common factor of u and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5500553.16 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2\/4 + 1105*q\/2 - 2205\/4 = 0. Calculate q.\nAnswer: 1, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - 2202?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.39? (a) 2\/5 (b) -0.4 (c) 10270\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.47 - 0.03. Let z = 3 - 3.1. What is the third biggest value in z, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -810714 (base 10) to base 16.\nAnswer: -c5eda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d + 12*d + 4*d - 6*d.\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Suppose -5*d - 10 = 15, -4*k + 2*d = 14. Let a be (1\/(3\/(-4)))\/((-4)\/k). Put a, h, -1\/3 in ascending order.\nAnswer: a, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jek when three letters picked without replacement from bsbeskj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -347 - 362 - 939*s + 709 - 619*s**2 wrt s?\nAnswer: -1238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682423198 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 7. Let w(x) = -4*x + 25. Let d(i) = -i + 8. Let z(c) = 7*d(c) - 2*w(c). Let g(u) = 6*f(u) + 7*z(u). Let n(k) = 4*k. Determine g(n(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41340 divided by -6.\nAnswer: -6890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cksllcsllcs. What is prob of picking 1 s and 2 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 66. Suppose -22*t = -v*t - 75. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006692 rounded to six dps?\nAnswer: 0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35613 + -35617. Let y = -3 + 5. Which is the nearest to 0? (a) 0.6 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468\/(-4914)*(-858)\/(-56) - 3\/(-2)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 259651 - 262784 = -241*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1.3 (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 51737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 6, 2, 18, -111, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 14 + 0 + 362*v in the form y*v + p and give y.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433865898.\nAnswer: 2, 3, 347, 69463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 3) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:46 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/8 + 13\/24. Put -0.5, -10, h, 2 in decreasing order.\nAnswer: 2, -0.5, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183938 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7059 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 6*h - 2. Let i(g) = 12*g**2 + 13*g + 3. Let c(m) = 35*m**2 + 6 + 38*m + 3 + 0 - 1. Let y(k) = 6*c(k) - 17*i(k). Give -5*j(q) + 4*y(q).\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74012392 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*c - 80 = 292*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86371 divided by 2.\nAnswer: 86371\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15868941 - 4871334. Suppose -t + 5 = 0, 2*t = 5*m + 7*t - 5011990. Suppose x + m = 2*f. What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2354156837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -82*m**2 + 61*m + 5. Let h(w) = 41*w**2 - 31*w - 3. Let j(q) = -5*h(q) - 3*y(q). Find the second derivative of j(o) wrt o.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 3*r**2 - 2. Let j be x(2). Let o = -3 - j. Suppose o*p = 34 - 7. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92227209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -2*l**5\/65 + 2*l**3\/13 + 2*l**2\/13 - 14. Let z(d) = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.027 and -0.04.\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-1)\/((-21)\/(-672)). Which is greater: -31 or j?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4689, -4691, -4693, -4695, -4697, -4699?\n\"Answer: -2*p - 4687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-10\/7))\/h*h\/(h**2\/h)*h\/(h\/h**(-9))*h**(-4\/5)*h assuming h is positive.\nAnswer: h**(-358\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113 divided by 3?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137808389, -275616775, -413425149, -551233505, -689041837, -826850139, -964658405?\nAnswer: -1102466629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*m - 80 = 198*m. Let q = -52 - 195. Let x = q - -2715\/11. Which is the closest to -1? (a) 0.1 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16930460 and 689384.\nAnswer: 575635640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2. Let j(y) be the third derivative of -y**5\/30 + 23*y**3\/6 - 161*y**2. Give q(j(o)).\nAnswer: -8*o**4 + 184*o**2 - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1875 and 5025?\nAnswer: 125625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2092767 * 6\nAnswer: -12556602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((195\/26)\/(-5))\/(3\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. What is the nearest to 0.1 in -11, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 11240.\nAnswer: 191080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 5*s - s)*(-s**2 + 4*s**2 - 2*s**2) + 4*s**2 + 2*s**3 - 4*s**2 + 4*s**3 - 2*s**3 - 4*s**3 - 93*s**3 - 188*s**3 - 64*s**3.\nAnswer: -344*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p + 91. Determine q(0).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-2))\/(5\/1). Let d = -1.87 - -1.77. What is the closest to -0.1 in -5, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 + 2*l**3 - 8*l**2\/3.\nAnswer: -l**2*(l - 4)*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10817?\nAnswer: 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -409 + 410. Which is the nearest to 0? (a) 0.03 (b) t (c) 5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -56. What is the second smallest value in 2, 0, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f - 53. Let o be h(-5). Let r be (120\/(-2))\/((1 + 2)\/o). Round r to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 5*o**2 + 0*o + 13\/4*o**4 - 11 + 0*o**3. Find the second derivative of n(l) wrt l.\nAnswer: 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.010071+2967\nAnswer: 2967.010071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 20. Suppose 0*a - 4*a + 48 = 0. Suppose p = a - v. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 17. Let d = v + 10.76. Let q = 0.240064 + d. Round q to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15920282?\nAnswer: 2, 7, 1137163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259038?\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*v = 45866 + 45629, 0 = 4*r - v + 73201. Let c = 25700 - r. Round c to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10020 or -0.1?\nAnswer: 10020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 4*i + i + (-1 + 3 + 1)*(2*i + 3*i - 4*i))*((1 + 3 - 2)*(4 - 4 + 4) + 4 + 4 - 2)*(3*i + 0*i - i) in the form o*i + g + v*i**2 and give v.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2968 - 2965. Let o = 1.8 + -2. Sort -0.3, -1, o, l in ascending order.\nAnswer: -1, -0.3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 52 = 22*c. Let x be (0\/(-3) - 2)*-4. Solve 5*n - c = x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ett when three letters picked without replacement from teett?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9) - (-15)\/(-18). Let j = -2767 - -2996.2. Let q = -229 + j. Which is the nearest to u? (a) -0.3 (b) q (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/5)\/((-12)\/450*-15)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115402.\nAnswer: 2, 7, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 32004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sese when four letters picked without replacement from nnbnseensbssbbn?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -814, -1234, -1940, -2938, -4234?\nAnswer: -5834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.329 take away 842676?\nAnswer: -842678.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*2 - (0 + sqrt(13))*-1)**2 + sqrt(208) + -2 + sqrt(208) + 2.\nAnswer: 8*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 175*r + 72. What is the tens digit of z(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + 4*g**2 - 9*g**2 + 3*g**2 - 2*g as f*g + p*g**2 + t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4617, 48693, 168331, 401313, 785421, 1358437, 2158143, 3222321?\n\"Answer: 6297*i**3 - i**2 - 1679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (sqrt(11) - (0 + sqrt(11)))*-3)**2 + -1 + -1.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + (-6)\/9. Let f = 1457 - 1460. Sort f, -1, w in increasing order.\nAnswer: f, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*g**3 - 55*g**3 - 7*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i. Let d be (192\/8)\/(3\/3). Let q(c) = 13*c. Let w(f) = -64*f. Let k(n) = d*q(n) + 5*w(n). Determine r(k(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Let l(g) = g**3 - 4*g**2 - 6*g + 7. Let i be l(5). Suppose u = f - 3*d + 20, 2*f + i*f + d = -28. Which is smaller: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -179 + 84 + 48 + 11486*m**3 + 49 as z*m**3 + t*m + g + w*m**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 11*x**2 + 12*x + 17. Let t be a(-12). Let b = -12 + t. Let r(f) = 5*f + 3. What is the units digit of r(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2063 - 30659?\nAnswer: -32700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 12, 6*i + 3*n = 10*i - 1113. What are the prime factors of i?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a, -3*a = -h + 3*h - 10. Solve -o - 35 = h*d - 11, -5*o + 10 = -d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 41*g = 28*g + 343 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-1022)\/(-2352) - (-4)\/14)\/(-2).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 21*w**2 + 18*w**2 - w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 50*c**7\/7 + 2*c**3\/3 + 56*c + 88. What is the third derivative of g(b) wrt b?\nAnswer: 6000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 35?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/12 + i**4\/24 + 2*i**3\/3 - 27*i**2. Calculate the remainder when m(-2) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 6, 4287, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) + (sqrt(65) + sqrt(65) + 1*sqrt(65) + sqrt(65))*-2 - sqrt(65)) + sqrt(65) + sqrt(65) - sqrt(65) - sqrt(65))\/(-4*sqrt(405)).\nAnswer: 7*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-14)*1\/(-4)*-2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.3417 rounded to 1 decimal place?\nAnswer: -36.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 0.3. Let c = -104.7 + 105. Sort -5\/2, k, c in ascending order.\nAnswer: -5\/2, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2231204.1 to the nearest one thousand.\nAnswer: -2231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36725 + 67109. What is the greatest common factor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1212*p - 54554. What is h(-45)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3 (c) -34.6 (d) 2\/15 (e) 4 (f) -2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-15))\/4 - 9185\/25. Round o to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*l + 5. Let g(a) = 3*a**3 + 2*a**2 - a + 4. Let b(p) = 7*p**3 + 5*p**2 - p + 9. Let s(u) = l*b(u) + 5*g(u). Factor s(v).\nAnswer: (v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35268242 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2\/(-4) - (-365)\/70. Let i = 12 - 7. Is j != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z - 663*z**3 + 34*z + 18*z.\nAnswer: -663*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -23. Suppose -5*b - d = -10*b. Let h(l) = -l**3 - 4*l**2 + 5*l + 15. Let t be h(-4). Sort -3, t, b.\nAnswer: t, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -131*z + 388*z - 129*z - 128*z - 2*z**2. Let h(c) = -931*c**2. Calculate m(h(r)).\nAnswer: -1733522*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10001100 (base 2) to base 12\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515, -437, -341, -233, -119, -5, 103, 199?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k = -43*k - 20. Solve -g = k, 2*m - m - 3*g - 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8 + -5. Let n = 4.8 - x. Let f = 391826\/7 + -55975. What is the second biggest value in 0.1, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 69818*r - 559167. Determine c(8).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -359986, -360093, -360264, -360499?\n\"Answer: -32*u**2 - 11*u - 359943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4 = 4*y, -4*v + 34 = -2*y. Let a = 233 - 449\/2. What is the common denominator of (-6)\/v*(-134)\/(-9) and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 18, 17 in decreasing order.\nAnswer: 18, 17, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/6)\/(259\/(-222))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(((-210)\/28)\/(-5)*(-2)\/(-3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -686*o - 1581. List the prime factors of u(-29).\nAnswer: 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 46\/9 (b) -2\/3 (c) 0.4 (d) 3 (e) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5880000 rounded to the nearest 100000?\nAnswer: -5900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 23*r - 37. Let t be p(-27). Let c = t - -342. Suppose -3*j + c = -3*s + 854, 3*s = 2*j + 662. What is the remainder when s is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1746780 is divided by 21565?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026.82mg in tonnes?\nAnswer: 0.00000202682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:28 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5305*t**5 + 336*t**4 + 2*t**2 + 10*t - 10792 wrt t.\nAnswer: -318300*t**2 + 8064*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*q = 20, 4*f + 0*f - 4*q = 0. What is the tens digit of 9\/(-6) + 2 + 366\/f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2112*r**2 - 4185*r + 11. Calculate h(2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*f + 3*f. What is the closest to -3 in f, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-535)\/15)\/(-20 + (-1334)\/(-69))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/10)\/((-6)\/15). Let h be 7\/14*(m + -2). Solve 0 = 4*z - h*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 5, 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 235*g - 235*g - 9*g**2 + (0*g - 5*g + 2*g)*(0*g - g + 2*g) + 4*g**2 - g**2 - g**2.\nAnswer: -10*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -186392 divided by -46598?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-2) - -4) + 1. Suppose 2*m + 3*m = v. Suppose 3*u + 3*x + 518991 = m, 0*u - 4*u + 2*x - 692006 = 0. What is u rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2. Let k(u) = -2120*u - 7. Give k(j(n)).\nAnswer: -2120*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 15, -2*z + 2388 = -2*t + 2*z. Let u = 3569\/3 + t. Find the common denominator of -55\/2 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-133966)\/2793 - (-358)\/(-10203).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 - (-11 + 0) - 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-1100)*(-3 + -1)\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkhkhh. What is prob of sequence kk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 4*j - 2. Let y be g(-1). Suppose 7*o - 9*o + y*k + 434 = 0, 0 = o + k - 202. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uejli. Give prob of sequence lj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 2, j: 3, s: 1}. Give prob of picking 1 q and 2 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(352\/8)*(-12)\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 + -19. Let a = w + -125. Solve 5*n = -3*s + 15, -3*n + 3*s - a = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.57458 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 - 0.15. Let j be (1622\/6 - 0) + 173\/(-519). Let p = 2428\/9 - j. Which is the closest to n? (a) 0.2 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 244551 - 115?\nAnswer: 244432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523751*z + 816 = 523887*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-6)*5\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -4\/7 (b) -8 (c) -53\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19077798 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -5.8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8433664198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.721 * 1.37.\nAnswer: -114.69777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0114 in -3\/5, -2\/7, 2\/31, 5?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, j: 1}. What is prob of picking 3 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h + 5. Suppose -4*r + 2*r = -4. Suppose -26 = -0*u + r*u. Let j(s) = s**2 + 12*s - 9. Let g be j(u). Determine q(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664014.\nAnswer: 2, 3, 13, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Suppose i*p - 16 = 9. Solve a + 0*a = -p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 151*a**2. Let f(b) = 425984*b - 2. Calculate f(x(c)).\nAnswer: 64323584*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m*m\/m**(-3\/2)))*m\/m**(2\/43)*m**(3\/4)*m*(m*m*m**(4\/5)*m*m)\/m assuming m is positive.\nAnswer: m**(8603\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 + -88. Suppose 5*i = 2*f - 0*i + 21, 4*i = -5*f + l. Suppose f = -2*j + 4. Which is the nearest to 0.1? (a) 2\/15 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -127 - h**2 - 2*h**2 + 2*h**2 + 48*h - 47*h + 4*h**2 to q*h + d*h**2 + s and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(27)*1)\/(sqrt(225)*-2) + 4.\nAnswer: sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = -75. Find the common denominator of -5\/2 and g\/60 + (-34)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 746?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4.4. What is the second smallest value in d, -2\/9, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szitzyyd. Give prob of sequence ziyt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - -11 - (5 - (7 + -8 + 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/7)\/s)\/(s**(1\/2)\/s))\/(s**(2\/9)\/s)**(1\/4) assuming s is positive.\nAnswer: s**(67\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 3 + 3. Let q(y) = 30*y + 715. Let g(b) = 8*b + 195. Let i(t) = 22*g(t) - 6*q(t). What is l(i(m))?\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 11*s**2 + 3*s. Let b(c) = -c**3 + 10*c**2 + 3*c. Let m(n) = -5*b(n) + 4*g(n). Factor m(u).\nAnswer: -3*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432459345.\nAnswer: 3, 5, 17, 173, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 367953800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402 is divided by 279.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -908, -906, -904?\n\"Answer: 2*a - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -43619?\nAnswer: 43617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71436*d = 11*q + 71434*d - 30, 4*q = 3*d - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*i + 582 = -24, v = 2*i + 296. Suppose -g = 4*g - v. Does 7 divide (-10)\/3*g\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b - 17*b - 45*b.\nAnswer: -71*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-28 - 10) - -35?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57648 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2.5. Let o = 335.2452 + -336.745187. Let l = o - w. Round l to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12736?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 6*t = 189. Is t less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 - (-15 - -9). Suppose -2*g - 7 = k*n + g, g - 7 = 3*n. Let l = 23 - 26. Which is the fourth biggest value? (a) n (b) 2\/11 (c) -5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/18)\/((403\/78)\/31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 1. Let k be ((-1)\/2)\/((-3)\/(-6)). Let g be ((-2)\/4)\/(k\/m). Which is greater: 1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*d + 25. Suppose 0*i - 2*a = 2*i - 72, -3*a + 147 = 4*i. Calculate the remainder when i is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times -23?\nAnswer: 29.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3102\/211 equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66341265 (base 7) in base 3?\nAnswer: 101201222110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.26 - 1.74. Which is the closest to 0.1? (a) p (b) -0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1695.3 - 1690.3. Which is the nearest to -3? (a) -2 (b) 4 (c) s (d) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48 - -50)\/(2\/11 + 0). Suppose -323 - 7 = -r*s. Let m(o) = -o**2 + 33*o - 76. Let y be m(s). Is 17 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/34614 and -109\/168?\nAnswer: 969192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 - 9*a**2 - 48*a\/5.\nAnswer: 3*a*(a - 16)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68851634 or -68851633?\nAnswer: -68851634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*s)*(3*s + 2*s - 3*s)*(9 - 9 + 2*s**2).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 0 = -4*h. Let u(y) = 7*y**2 - 3*y. Let b(s) = -6*s**2 + 2*s. Give h*b(p) - 4*u(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 39\/7 - 60\/(-140). Let a(c) be the third derivative of -c**6\/120 + c**5\/10 - 2*c**3\/3 + c**2. Give a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97 and 42583?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354 or -357?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6310 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3400)*-3)\/(sqrt(18)\/sqrt(9)*2).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -597, -4748, -15997, -37884, -73949, -127732, -202773, -302612?\nAnswer: -430789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 - r + 6. Let f be x(2). Let q = f - 17. What is the biggest value in -0.4, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 19\/14, 0.4, 2, 92, -3.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -31381104?\nAnswer: -31381114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*t + 168*t + 45. Suppose t*j + 4674 = 15*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15241506*y**3 + 1354*y**2 - 2432*y wrt y.\nAnswer: -91449036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-44)\/(-33)*(-6)\/(-4) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.9 (b) 2\/9 (c) 448 (d) -8 (e) -12 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/3 and -65\/6693246?\nAnswer: 6693246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207\/(-138)*(-40)\/(-255).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76747193 take away 1128.13?\nAnswer: -76748321.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1745529647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*3*(sqrt(2057) + 2 - (-1 + sqrt(17) + 0))*-5*3.\nAnswer: 540 + 1800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -0.05, 35, -4, 0.09882?\nAnswer: 0.09882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70 and -0.04996?\nAnswer: 3.4972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39442189 a multiple of 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 7. Let o(d) = -4*d + 6. Let y(p) = -2*k(p) + 3*o(p). Does 6 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 8:16 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -159480188 divided by -6\nAnswer: 79740094\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88)\/(-9) + (-4)\/(-18). Suppose -c + 12 = t. Let i(b) = 5 + 0 - b**2 + b - 4. Calculate i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 36 + 7)*(-3 + 1 + 4)*(-1 + 2 - 3)*(1 + 0 + 0)*(-2*k + 0*k + 4*k)*(1 - 3 + 0)*(2 - 10 + 0).\nAnswer: -4736*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 8*u + 4. Let r be f(0). Solve 5*g + 11 + r = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -209*t - 421. Calculate r(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 0, 39*r - 42*r = -3*z - 14385. List the prime factors of r.\nAnswer: 2, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + 3 - ((9 - (0 + (-14 - -15))) + 2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 7*n + 6. Let w be i(-6). Let t be (-12)\/28 + (-76)\/133. Let c(z) = -62*z - 61. Let v be c(t). Sort -2, v, w in ascending order.\nAnswer: -2, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 15. Let d(l) be the second derivative of -l**3\/6 + 7*l**2\/2 - 226*l. What is 5*d(s) + 2*q(s)?\nAnswer: -s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 - -2)\/(-2) + -1. Let o = 420 - 409. Suppose 4*y = t*y + o. Calculate the remainder when 32 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4685475208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**22)**(-2\/43))**(1\/7) assuming l is positive.\nAnswer: l**(-44\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 7:07 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 y when four letters picked without replacement from {y: 3, q: 3, k: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-11))\/(75\/(-128700)*26)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314019?\nAnswer: 3, 23, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*h - 20*h - 1 - 10*h**2 + 1 wrt h.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 6*w**2 + w - 8. Let d be c(-6). Let z = d - -14. Suppose z = -40*f + 42*f. Solve a = -f*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnjjnjn. What is prob of picking 1 j and 1 n?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 178983296.5 rounded to the nearest ten thousand?\nAnswer: 178980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 - -115 - (4 + -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, -25, -1\/2, -705?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 5300 = 23900. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30811 + 26709 = 9*y + 14698. Calculate the highest common factor of 78 and y.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1 + 1\/(-2)). Sort y, 9, 0 in decreasing order.\nAnswer: 9, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23373686*s**4 - 10*s**2 + 1538*s + 2?\nAnswer: -560968464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 2*r + 4. Let q be x(-3). Let i = q + 1. Find the second derivative of y + 2 - i - y**2 wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + -1. Let a = -24 - q. Solve 0 = -0*c + 3*c + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 14*h**2 + 4*h - 27. Let f be w(11). Calculate the highest common factor of f and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 162775*l\/2 - 244158.\nAnswer: -(l + 3)*(l + 162772)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-6*7\/(-1232))\/((-612)\/(-8160)))?\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*d - 18 - 5, -2*v + 9 = -5*d. What is the common denominator of -21 and 1 - (364\/v - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.648332 litres in millilitres?\nAnswer: 648.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -0.042 (b) 2\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131333966?\nAnswer: 2, 19, 181903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -28. Let o be (f\/18)\/((-1)\/3). Let w = -55\/12 - o. Which is the biggest value? (a) 5 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -201.752 + 1.662. Let x = g + 201. Round x to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33923133 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 9676662?\nAnswer: 9676662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.1075 - 0.0475. Let x = -0.06 + k. Let h = x + -11.00112. What is h rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 14. Let i be (-44)\/p + (-2)\/(-3). Let l(x) = x**3 - 9*x**2 + 9*x - 7. Let f be l(i). Solve 17 = 4*d + f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 5 (c) -2937 (d) -59 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f**2 + 10*f**2 - f**3 - 2 - f**4 - f - 25*f**2 in the form s*f + y*f**4 + d*f**2 + u*f**3 + i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 5*y - 5. Let h be i(-7). Let t be 4\/18 - (-25)\/h. Suppose 3*w - 8 = 5*k + 24, 4*w = t*k + 28. Solve w = -3*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, -59, 113, 5 in increasing order.\nAnswer: -59, -1, 5, 11, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9707 - -5972. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + m + 142 = -2*v, -v = -5*m + 18. What is the lowest common multiple of 1 and 22\/3 - (v\/21)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = r + v, -3835*r = -3838*r + v + 95 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 168*p**3 - 18*p**2 + 2*p + 8. Let u(d) = -174*d**3 + 21*d**2 - 2*d - 9. What is 7*t(f) + 6*u(f)?\nAnswer: 132*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1500*w - 87 wrt w?\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -66 (b) 3205 (c) 0.1 (d) -13 (e) -4 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-6)*(-30)\/1650*44.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*w + 13324 = -116*w. Let v = w + 4726. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 1845968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 34. Let k = -10 - n. Let z(y) = 2*y - 1. Let a be z(k). What is the closest to a in -0.1, -2\/3, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-88)\/(-55) - (-2)\/5. Differentiate 3 - 2*n**2 - 2*n**q + n - n with respect to n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53062 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256 by -8.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/2))\/m)**(-32)\/(m*(m\/(m*m**(5\/2)*m))\/m)**(-16) assuming m is positive.\nAnswer: m**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3244158 is divided by 1622045?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0546231 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-110)\/4)\/(4\/(-8)). Suppose -4*a - o = a. Sort 5, a, -5 in decreasing order.\nAnswer: 5, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12*1728\/(-81))\/((-4)\/(-15)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuysssussuz. Give prob of sequence sszz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10537464, -21074919, -31612368, -42149811?\n\"Answer: 3*j**2 - 10537464*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 104*s - 100.\nAnswer: -4*(s - 25)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h + 14*h - 6*h + 7*p + 117, 4*h + 92 = -7*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3994 - 9a4a?\nAnswer: -6096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 1130*y + 301*y.\nAnswer: 1438*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 6 + 6)*(0*m**3 - m**3 - 18*m + 19*m**2 - 27*m**2) + (-m**3 + 0*m**3 + 0*m**3)*(-4*m - 2*m**2 + 4*m).\nAnswer: 4*m**5 + 16*m**4 + 36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-295900)\/74340 + (2\/7 - (-130)\/35) and -74\/27.\nAnswer: 11151","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62496983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1414*z + 20171 + 44277 = -670*z + 70*z for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16806645929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 70 + 520. Let j be u\/(-5)*(44\/8 + 0). Which is greater: j or -101?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, -0.59, 867, 2.\nAnswer: -1.8, -0.59, 2, 867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*d + 76 = -103*d - 5*v, 0 = 5*d + 2*v - 75 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1825950 and 2\/1295.\nAnswer: 1825950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000877 to 7 dps.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22450 and 202050.\nAnswer: 202050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333462472, 666924944, 1000387416, 1333849888, 1667312360?\nAnswer: 2000774832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 10*a + 8. What is the tens digit of s(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*m + m. Let y = 52 - 63. Let h(o) = -o**3 - 11*o**2 - 6*o + 14. Let z be h(y). Calculate the greatest common factor of z and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20\/23 + -175\/69. Put -1\/10, 1, 0, u in descending order.\nAnswer: 1, 0, -1\/10, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csc when three letters picked without replacement from {f: 2, s: 2, j: 7, m: 1, c: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 2. Let s be q(-5). Let a = 23 - s. What is the smallest common multiple of 2 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25456221 divided by -1212201.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9219.24m?\nAnswer: 921924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12355 and 482965.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - z - 74, 3*s = s - 2*z + 68. Suppose a - s - 105 = 0. Let r = a - -32. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -130. Suppose -2*u + 5*k - 48 = 24, 2*k + n = -3*u. Let q = u + 44. Let c(b) = -b**3 + 2*b**2 + 4*b. Give c(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827972 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 174.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(882)\/sqrt(9) + (2 + -2*sqrt(2))**2.\nAnswer: -sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2\/6 + 1462979*r\/3 + 2140307554441\/6 = 0.\nAnswer: -1462979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 109*r + 442. Let f be q(-4). Let c(h) be the third derivative of -1\/120*h**f - 5\/24*h**4 - 18*h**2 - 1\/10*h**5 - 1\/3*h**3 + 0*h + 0. Calculate c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 23. Suppose -2*k + q + 8 = 0, 2*q - 17 + 5 = -3*k. Calculate the greatest common factor of p and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7260 + -7258. What is the nearest to 0.1 in -10, y, 1\/2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k - 169. Let q(z) = -2*z + 2. Calculate 3*q(u) + y(u).\nAnswer: 3*u - 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263 - -48?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/3 + 7*t**4\/3 - 4*t**3 - 16*t**2\/3 + 64*t\/3 - 16.\nAnswer: -(t - 3)*(t - 2)**3*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 42. Let q be y + 1 - (-7 + 5). Suppose -3*n + 5 = -q. Solve 16 = -i - n*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 865283 and 391?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*y + 5040 - 553 = 0, 3*y + 2988 = 2*b. List the prime factors of b.\nAnswer: 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109 - -173. Let u = -48 + r. Suppose -15*x - 8 = -u*x. What is the lowest common multiple of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -236*w**2 + 1655*w - 19. Let c be p(7). Factor -578\/9*f**3 + 442\/9*f**c + 128\/9*f + 8\/9.\nAnswer: -2*(f - 1)*(17*f + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1813 (base 9) to base 2.\nAnswer: 10101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18)*q)\/q**(-1\/4) assuming q is positive.\nAnswer: q**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 208 = -0*d. Calculate the remainder when d is divided by ((-35)\/(-4))\/(-1)*80\/(-20).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, 89, 4, -2?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498046016 to the power of 1\/3, to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3 - 5*t**3 - 69*t**2 + 2*t + 70*t = 0.\nAnswer: -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.769 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**5 - 2*t**5 + 4*t**5)*(-123 - 6 + 21) + (t**2 - 2*t**5 - t**2)*(0 + 0 + 2).\nAnswer: -112*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*t - 4*t. Let m = 69 + -41. Let v be m\/6*(t - 4 - 53). Round v to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 i when three letters picked without replacement from mtttibttm.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koioqoookiqk. What is prob of sequence qqo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 6. Let b be d(4). Suppose 3*q - b*s = -23, -2*s = -3*q + 7*q + 12. Let k(o) = 400 - 398 - 3*o + 2*o. Give k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*q, 2*g = 3*g. Suppose n + q*n + 5*w - 15 = 0, n - 12 = -2*w. Suppose 7*m = n*m - 12. Solve -5 = t + 2*f, -t = -m*f - 5 + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 474*n - 120 wrt n?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/6 + 3\/(-9). Let t = v + 9. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 4, -285, -14 in ascending order.\nAnswer: -285, -14, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**4\/8 + 5*m**3\/3 - 30*m**2. Determine x(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/98 at most as big as 2\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 67432 = -14152. What is the common denominator of (-1)\/(-4) + (-4847)\/v and -61\/33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6324 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433942 divided by 6.\nAnswer: -216971\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (555 + w**2 - 555)*(-w + 7*w + w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14060 + -3444. What are the prime factors of t?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**2 + 5\/6*q**4 + 0 - 5\/6*q**3 + 0*q.\nAnswer: 5*q**3*(q - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25965 or 3?\nAnswer: -25965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.038266 and -936?\nAnswer: -35.816976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 15*w**2 + 45*w - 32. Calculate x(-5).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4 + 11 + 2*a + 2*a**2 - 9 - 3*a**2. Let h be v(3). Let c be 1\/4 - 888\/(-32). Solve -11 = -h*u + 4*o, 2*u + 3*o - c = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/12 - 5*b**3\/6 - 9*b**2\/2 + 7*b. List the prime factors of a(8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20221200001001 (base 3) in base 10?\nAnswer: -3693871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/9)*l\/l**(-4))**(-32) assuming l is positive.\nAnswer: l**(-1664\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 + 610*o - 24437. Determine a(149).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -229 + 329. Does 33 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 5*y, 2*a + 5*y - 10134 = -10148 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3*3\/(-6))\/((-6)\/9852).\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133632?\nAnswer: 2, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j**3 - 2425*j**2 - 6115*j - 2450 = 0 for j.\nAnswer: -2, -1\/2, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -20.1. Let j = n + -20.01. Sort 4, j, -2.\nAnswer: -2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of (-2)\/4 - -25*(-148)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-35))\/(2\/50)*(-8743)\/(-1249).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 3*o**3 + 3*o**3)*(436 + 526 - 149)*(1 - 1 - 1)*(2 + 2*o - 2)*(-8*o + 3*o + 2*o).\nAnswer: -9756*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51393 (base 14) in base 5?\nAnswer: 22224131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j**3 + 5*j**2 - 10*j - 5. Let p(c) = 7*c**3 + 4*c**2 - 10*c - 4. Let z(n) = -5*p(n) + 4*s(n). What is the second derivative of z(i) wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/4, 7, 2, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3979 = -3*n + 2*v, 3*n + 4*v = 2*v + 3959. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2619 + -1334. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-2)\/5)*(-30)\/(-25). Calculate the remainder when 817 is divided by (115\/(-10) + -2)*52\/m.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115149999 and 3628?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 3. Let b be d(-4). Let p be (4 - (0 + b))\/1. Find the second derivative of 2 - 2 - 3*x + 2*x**p wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.6 + -8. What is the third biggest value in -9, 3, k?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/2)*k**(1\/13))**(-2\/21) assuming k is positive.\nAnswer: k**(-41\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)\/(h\/(h**(1\/13)\/h))*((h*h\/(h**(-4)*h))\/h)\/(h*h*(h\/h**(1\/12))\/h))**(-42) assuming h is positive.\nAnswer: h**(259\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -117*l + 7542. Calculate the remainder when z(63) is divided by (1 + 1)\/((-1)\/(-22)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3669*g**2 + 2 + 3617*g**2 + 0 - 4 + 2*g wrt g.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxyyyyyxyxxxyxxyyxyx. Give prob of sequence yy.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -51 - -19) + 118?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -328?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4710 - 1677. What is the thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z + 11 + 6 - 3 + 33*z.\nAnswer: 5*z + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5 - 4*r**4 + 36*r**3 - 74*r**2 + 61*r - 18 = 0?\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*f**2 + 68*f - 68*f.\nAnswer: -103*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3693803?\nAnswer: 79, 46757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -15*q. Let s be m(-2). Calculate the remainder when 35 is divided by ((-14)\/(-3))\/(10\/s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = p - g, 2*p - 265 = -0*g - g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2140897 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {v: 3, p: 2, w: 1, g: 1, r: 1, d: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 3*o, 0 = 4*u - 225*o + 475*o - 245*o + 8 - 83 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -317 + 325. Suppose -3*s = u - 155099995, 4*u + 12 + v = 0. Round s to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162\/138 - 6\/(-414)*6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -354\/5651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 83016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 604 + 0?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 + 179. Suppose -14*s + 232 = -594. Let w = s - b. Let a(m) = m**2 - 5*m + 3. Determine a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3481590 divided by -82895\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2 = -p, -1904*y - 26 = 5*p - 1897*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3694 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.172 - -1.628. Put -1\/5, -1, -0.5, z in decreasing order.\nAnswer: z, -1\/5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/4 - 4*r**3\/3 + 2*r**2 - 12*r + 1483. Calculate d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24893 (base 10) to base 11\nAnswer: 17780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 742 and 213378?\nAnswer: 1493646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 94.58956 and 0.07.\nAnswer: 94.65956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + (-86)\/(-10). Let c = -124 + 139. Suppose -1157 = -c*h - 77. What is the greatest common factor of h and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.4 (c) -3\/5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -86*s + 82*s, -4*s = 4*k - 7*s + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 times 0.4?\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1548 + 1580 + 8*q - 5793 + 2665.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 6*q - 14. Let w(b) = -b - 3. Let z be w(-12). Let c be y(z). What is the highest common factor of c and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -5 + 2 - 5) + (63 - 28)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 558, 1256, 2222, 3450?\nAnswer: 4934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0 - 1\/8*o**4 + 3\/8*o**3 - 9\/80*o**5 + 3\/4*o**2 - 9*o. Factor n(p).\nAnswer: -3*(p - 1)*(p + 1)*(3*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2854499212?\nAnswer: 2, 41, 17405483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452031236?\nAnswer: 2, 3, 41, 67, 14683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1538*w**2 - 9*w + 2090. Let r(n) = 385*n**2 - 2*n + 522. Let x(o) = -9*r(o) + 2*t(o). Differentiate x(u) wrt u.\nAnswer: -778*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74628887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121303230121 (base 4) to base 5.\nAnswer: 3212442322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14999545, -29999090, -44998643, -59998204, -74997773?\nAnswer: -89997350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**3 - 45*o**2 - 60*o - 20.\nAnswer: -5*(o + 2)**2*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-25))\/(1\/(-5)). Let s be 2\/(-11) + ((-717)\/(-11) - -1). Let i = -64 + s. Solve -t = -m, 0*m - i*t = -m + p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*w + 12. Let d(p) = p**2 - 10*p + 5. Let f be d(10). Sort -3, f, 2, w in decreasing order.\nAnswer: f, w, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1110 = 29765*m - 14872*m - 14878*m for m.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 12*l + 4. Suppose -5*r + 0*q + q + 30 = 0, 3*r - 18 = -4*q. Let w(f) = 11*f + 3. Let y(k) = r*w(k) - 5*n(k). What are the prime factors of y(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -247357 + 2?\nAnswer: -247355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 71?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64586 is divided by 241.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7022 by 75.\nAnswer: 7022\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*o + 21, -3*o - 22 = -4*u - 4*o. Is (2 + u\/(-2))*-634 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -263*f + 544*f - 250*f + 310 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-356)\/6)\/((-6)\/9). What is the tens digit of 3\/(3\/f) - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k\/((k**0*k*k)\/k)*k*k)\/k)**(6\/7))**(3\/46))**(-16))**(-33) assuming k is positive.\nAnswer: k**(9504\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4 + j**4 - 4*j**4 + 3*j**2 wrt j?\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5032204.\nAnswer: 2, 17, 43, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 4bab?\nAnswer: 4bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*k + 94*k = 5*n - 5, 24 = -4*k + 2*n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 10*r**2 - 13*r - 23. Let g be n(-10). Suppose g + 893 = 5*y. What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230112112 (base 4) to base 3.\nAnswer: 100020011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, -1, -5 in decreasing order.\nAnswer: -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -0.241 (c) -53 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b6b4 (base 12) in base 16?\nAnswer: c0328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88\/7 + 373\/28. Which is the closest to 2\/5? (a) -4 (b) 5 (c) x (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.59918004 + 342.60709004. Let s = 553 - 211. Let a = r - s. What is a rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*j + 3977119 - 3977251, 0 = j - 4*o + 129 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 z when four letters picked without replacement from azzzazzzzzz.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*y, 7*v - 4*y - 36 = 3*v. Let s(d) = d**2 - 4*d - 4. Let c be s(v). Calculate the greatest common factor of c and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1709349 is divided by 184?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 347558496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 4) to base 13\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let v(p) be the second derivative of p**4\/4 - p**3\/3 - p**2 - p. Let c(n) = 4*n**2 - 3*n - 3. Let f(y) = 2*c(y) - 3*v(y). Determine r(f(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40772175.36 rounded to the nearest one hundred thousand?\nAnswer: -40800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1. Let h(y) = 2*y + 4. Calculate -h(f) + 2*q(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 + 174. What are the prime factors of 5\/(v\/381) + 0?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/30 + 2\/(-10). Suppose -y - 3 = -x, -3*x + 3 = 4*y + r. Is 2 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -80. Let q be 2\/(-1 + -1)*(-2 - 2). Solve -q*i + 10 + t = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -102\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (4 - 10) - 0) + (-87 - -66)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042193 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -523?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 818 + -506. Let z = 312.00000181 - f. What is z rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f - 57*f + 8*f + 33*f - 6*f.\nAnswer: -94*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 16*v**3 - 2*v**2 - 7*v - 3. Let q be r(-5). Let n = 3514 + q. What are the prime factors of n?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -41 - -5 - 17.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**2. Let r(o) = 35*o**2. What is j(r(d))?\nAnswer: 11025*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018666845 rounded to 4 decimal places?\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42a8a (base 16) in base 12?\nAnswer: -11200a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(112) + -3*sqrt(112)))\/(2*sqrt(144)*-4).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) + (-2)\/(-3). Suppose -4*m + 1 = -5*b - 3*m, m + 3 = b. Let d be (-35)\/(-21) + b\/(-3). Which is bigger: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/1 - (-7017 + 6993)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/22 and -31\/31383912.\nAnswer: 345223032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 13*y = 128. Suppose 1028 = 12*g - y*g. Calculate the remainder when g is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166*a**3*m**3 - 34*a**3*m**2 - 12*a**3*m - a**3 + 89*a**2*m**2 + 3*a**2*m - a*m**3 + 4*a + 388*m wrt a.\nAnswer: 996*m**3 - 204*m**2 - 72*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (77\/21 - 4)*9. Let d(v) = 3 + 5*v - 3*v + v**2 + 0*v - 7. Give d(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vovb when four letters picked without replacement from bvvovbvvbo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, -0.5, 1 in increasing order.\nAnswer: -1, -0.5, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t - 153. What is s(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (0 + 11 - 27 - -34)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56981729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + 1 - 6 + 4 + 2 - 4 + 4 + (2 - 1 + 1)*(0 + 2 - 4) + 1 + 0 + 1 - 1 + 4 - 2 - 1 + 5 - 3 + 21 - 5 - 8)*(3*m**5 - 2*m**5 + 8*m**5).\nAnswer: 90*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5345, 6, -6 in ascending order.\nAnswer: -6, -1, 6, 5345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 28 = -3. Let c(w) = -w - 1. Let q(m) = 8*m**2 - 4*m - 5. Let f(x) = g*c(x) - q(x). Let p(i) = -2*i. Determine p(f(u)).\nAnswer: 16*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*m - 16*m - 48 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 22*p - 14. Give k(19).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -1)\/((-2)\/8). Suppose -a*x - 5 + 25 = 0. Find the third derivative of 0*h**2 - 1 - 2*h**x + 1 + 2*h**2 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3526844465 - -0.3\nAnswer: 3526844465.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 289\/4 + 3\/(-12). Let i(d) = -11*d - 11. Let c be i(11). Let r = c - -180. What is the greatest common factor of t and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 11:01 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*v - 10 = 43, -3*d = 2*v + 32. Let n = d + 17. What is i in 0*i**2 - 2\/5*i**n + 0*i + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53210 and 100.\nAnswer: 532100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l + 178. Let h be k(-21). Is h greater than 205\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqq when three letters picked without replacement from {z: 3, s: 5, q: 5}?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/13 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 457431235 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4921047010 rounded to the nearest 1000000?\nAnswer: 4921000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1959800 is divided by 888.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27.02 - -293.132985\nAnswer: 266.112985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 4*b**2 - b + 2. Let y be t(-4). Suppose -22 = -4*n - y. Factor -3*k**3 + 5*k + 2 - k - k**2 - k + 3*k**4 - 4*k**n.\nAnswer: -(k - 1)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 150 - 271d2?\nAnswer: -27082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + t**2 + 0*t**2 + 2961*t**3 - 3035*t**3.\nAnswer: -74*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**3 - 12*o**2 - 11*o - 1. Is f(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -936 or -2\/115023?\nAnswer: -2\/115023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 - 9756*m**2 - 2806520*m - 2796768 = 0. Calculate m.\nAnswer: -2106, -332, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2160.3552 months?\nAnswer: 180.0296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18600 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*t, t = 2*b - 307 + 322. Let y(w) = 4*w + 4. Let r(k) = 8*k + 8. Let a(c) = -4*r(c) + 9*y(c). Let i(q) = 21*q + 21. Calculate b*a(j) + 2*i(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -57*-2.5\nAnswer: 142.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2158*c**2 - 208*c. Let x(l) = -184*l**2 + 482*l**2 - 166*l**2 + 7*l - 2*l - 184*l**2. What is -5*q(u) - 208*x(u)?\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5*k*k)\/k)\/(k*k*k**(-3\/20))*k**(1\/9)*k**(3\/2)\/k assuming k is positive.\nAnswer: k**(857\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374469?\nAnswer: 3, 124823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -84*-4*(-5)\/(-30) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.9406 + -14190594.\nAnswer: -14190609.9406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -260 and 13306.\nAnswer: -3459560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -67500987082 - -0.9\nAnswer: -67500987081.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-10 - -15) + 3 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.2 + 1.8. Let l = i + 52. Let p = -66.61 + l. Round p to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4032 = 2*b + 28*b - 20082. Calculate the greatest common factor of b and 428.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-45)\/12)\/(210\/252))\/9*12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynh when three letters picked without replacement from aayynyyanha?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*h - 3. Suppose -5*y - 15 = -h*y. Suppose 3 = -5*b - 12. What is the third biggest value in b, -1, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**3 - 4*p**2 - 8*p = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 7) to base 11\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -8. Suppose -2*n - 4 = -w, -3*w + m*n - 2*n - 20 = 0. Let k be -620003 + (-25)\/(-10) + (-2)\/w. Round k to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69276, -69275, -69274, -69273?\n\"Answer: n - 69277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b + 6. Suppose -x - 5 = 2*r, -x = x - 4*r + 10. What is the units digit of d(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482372.2um to meters.\nAnswer: 0.4823722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484879.\nAnswer: 67, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040115077 rounded to five decimal places?\nAnswer: 0.04012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -23*a**3 + 18*a**2 - 9*a - 284. Let x(w) = 21*w**3 - 16*w**2 + 8*w + 285. Give -8*h(z) - 9*x(z).\nAnswer: -5*z**3 - 293","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -558, 2, 3490?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582295 divided by -115.\nAnswer: -116459\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.42536 + -0.42536. Sort b, -3, -3\/8, 0.89, 0.09 in descending order.\nAnswer: 0.89, 0.09, b, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164718 (base 9) to base 14.\nAnswer: 291d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 2, y: 1, x: 2}. Give prob of sequence yx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)*(-384)\/(-576)*6\/(-14). Put -1\/3, k, -0.2, 4, 7\/2 in ascending order.\nAnswer: -1\/3, k, -0.2, 7\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 13*j**2 - 8*j + 60. Let f be ((-12)\/(-14))\/(5\/(-70)). What is the remainder when 189 is divided by a(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 627*s + 58. Let u be x(6). Let l = -2355 + u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -981336.3865 rounded to the nearest 10000?\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -0.5\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 8*o + 6. Let z(j) = -2*j**2 - 13*j - 15. Let c be z(-13). Let r = c + 178. What is v(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yapfayy. What is prob of sequence yfa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 481*b - 226*b - 254*b. Let p(s) = 112*s. What is p(z(r))?\nAnswer: 112*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 2*u**2 + 0*u)*(-u + u - 2*u) + (-u + u - 3*u**2)*(10*u - 451 + 451) to b + m*u**2 + s*u + c*u**3 and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(65)*2)\/((sqrt(1500) + (sqrt(1500)*-2 - sqrt(1500) - sqrt(1500)))\/sqrt(3)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + y = 72556, -2*w + 29020 = -14*y + 12*y. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (1 + (4 - 5))) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*u = -136*u + i - 10, 3*u + 19 = -10*i + 6*i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*h = -10, 3*h + h = -u + 22. Let r be (4\/(-3))\/(2\/u). Let l = 9 + r. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/((-1)\/(-9)). Calculate the least common multiple of 14 and -6*f*(-2)\/2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 30412278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0. Let o = 0.3 - 0.3. Let j = o + r. Is -3 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) -1\/12 (c) 1619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, g: 5, k: 1, t: 4, c: 2, l: 4}. What is prob of sequence ctci?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003994 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**2\/w))**19\/(w**(-24)\/w**(1\/5)) assuming w is positive.\nAnswer: w**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqyccycpyjcccjccxcj. What is prob of picking 1 q and 2 x?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -3*n**5\/20 - 31*n**3\/3 + 7*n - 4. Find the second derivative of p(m) wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36986560 a multiple of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose -23 = -x - h*x + 4*y, 2*x - 34 = 5*y. Suppose -2*l + 1 = -x. What is the remainder when 10 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4 - 20. Suppose -66 = -5*m - 2*t, 14*m - 15*m + t = -9. Calculate the lowest common multiple of m and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -4*x + 164. What are the prime factors of x?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29187 (base 15) to base 3\nAnswer: 20201001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*-2*sqrt(637) - (1 + sqrt(1053))*-3)**2.\nAnswer: 78*sqrt(13) + 2202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffzf when four letters picked without replacement from {f: 9, g: 5, z: 2, r: 2}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 109 - 13. Let r = p - 25. What is the tens digit of (r - (-5)\/1) + 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -296710, -297885, -299060?\n\"Answer: -1175*c - 295535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*((-a**3 - a + a)*(0*a + 2*a - a) + 4*a**4 + 0*a**4 + 4*a**4 - 85*a**4 - 437*a**2 + 437*a**2).\nAnswer: 78*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/22, 913\/2, 115?\nAnswer: 913\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*r - 217, 3*r - 372 = 5*s + 181. Let a = 111 + s. Solve -5*y + 4 = -a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.02 + -0.02. Let u = 3.78 - -0.32. Let n = u - s. Which is the third biggest value? (a) -4 (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73387 - -6.\nAnswer: 73393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2372, -3, 63, 1 in ascending order.\nAnswer: -3, 0, 1, 63, 2372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 + 4*c**2 + 5*c + 3. Determine v(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435497826.\nAnswer: 2, 3, 89, 815539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*q - 88 = -759 - 1097 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 113*y - y**2 - 109*y - 4 + 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 2*b - 4*b)*(9*b + 4*b - 11*b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/11115)\/(6 + (-1092)\/169).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44489 is divided by 1169.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1826263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 22 - -31) + 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1248*b - 46748 - 426*b + 48643 wrt b?\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a + 17. Calculate f(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.077 (b) 158 (c) 3 (d) 5\/3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 2. Let l = -434 - -431. Determine g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 7 + 17 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbvl when four letters picked without replacement from ovbzaozlb.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 10. Let l = f + -5. Solve 3*p = l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/25, 6, 4, 0.3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w. Let s(p) = 16*p + 2. Let j be s(0). Suppose 0 = 3*f - 9 + 3. Let m(q) = 0*q**j + 4*q**f - 6*q**2. Determine m(v(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = -2*j, -j - 1 = x. Suppose -x*i = -4*i. Solve i = y + 3 - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11914853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/25457831 and 41\/362.\nAnswer: 50915662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**8*n)\/n*n)\/(n\/(n\/(n\/(((n*n**1)\/n)\/n)*n)*n)))\/(n**(1\/4))**(-8\/7) assuming n is positive.\nAnswer: n**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-2) - 2\/4. Suppose -5*y = -0*y. What is the second derivative of -u + i*u + 2*u**5 + y*u wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 8, n: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*s**2 - 62*s**2 + 47*s + 121*s**2.\nAnswer: -2*s**2 + 47*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 151*y + 457. Let h be b(-3). Suppose 3*t - 72 - 129 = 0. Suppose -2*d + 4*o + 68 = 2*d, 3*o + t = h*d. Solve -3*i - i = d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.761513l to millilitres.\nAnswer: 5761.513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-1 - (sqrt(90)\/sqrt(6))\/sqrt(3)) + (sqrt(20) + 2 - (3 + -2 + sqrt(5)))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -63, 3.01, 55\/4 in decreasing order.\nAnswer: 55\/4, 3.01, 2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 36 and 184685 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6452494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 k when four letters picked without replacement from {o: 5, k: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -326\/45 - -112\/15. Sort 5\/6, h, -0.1, -6 in descending order.\nAnswer: 5\/6, h, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183007 to the nearest 1000.\nAnswer: -183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 877018103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 31*y**2 - 32*y - 55. Let c be o(-30). Let d(s) = s - c*s + 6*s + 0*s. Let n(w) = 2*w + 3*w - w. Determine d(n(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 197 + 33 = 0. Suppose -3*o + 4*q = -97, 2*o + 0*q + 2*q = y. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -323 + 323. Solve m = i - 2 + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 43*z**3 - 2*z**2 + z. Calculate the lowest common multiple of x(1) and (11 + -7 - 1*6)\/((-48)\/1152).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 411394748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 - 10*s**2 - 5*s + 21. Let j(z) = -z**2 - 15*z - 36. Let v be j(-11). Is g(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a**(2\/3)*a))*a)\/a*a**3*(a**0\/a)**(-48) assuming a is positive.\nAnswer: a**(161\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2071218 and 654.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -296*p**4 + 225?\nAnswer: -1184*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/20 + i**3\/3 - i**2\/2 + 2*i. Suppose 3*o = d, -2*o - 3*d = -d. Let m be g(o). Sort -14, m, 3 in descending order.\nAnswer: 3, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*n**2 + 13*n - 5*n - 7*n + (-2 + 2 - 2*n)*(-3*n + 5*n - 4*n).\nAnswer: 19*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + w**3 + 5*w**2 - 3*w**2 - 2*w**2.\nAnswer: w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (56 - -9698)\/(2*2)*8 + 2.\nAnswer: 2, 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 d when four letters picked without replacement from {d: 1, g: 7, r: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*l**2 - 11*l - 4426 with respect to l.\nAnswer: 150*l - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355d84 (base 14) to base 3.\nAnswer: 10102120020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-510)\/(-187))\/15 - 1321\/66 and 151\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 2*n + 6*n + n in the form j*n + l and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-25 + 14 + 26)) + -21?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 24*n + 27. Let k be i(-7). Let j be (((-4)\/k)\/1)\/(54\/(-324)). Solve -8*r + 4 = -j*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 5*o**2 + 34*o + 5. Let i(w) = w**2 - w - 1. What is -5*i(t) - y(t)?\nAnswer: -t**3 - 29*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3240 divided by -108.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**3*x + 719*u**3 + 14*u**2*x + 10*u**2 wrt u.\nAnswer: 12*x + 4314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.6251372 to one decimal place.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 g when four letters picked without replacement from {c: 2, g: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from glnkkdhhn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41407 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 1, k: 2, v: 4, q: 4, l: 2}. What is prob of picking 1 q, 1 l, 1 k, and 1 b?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeqequweggqgweqmqw. What is prob of sequence eww?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23921 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r\/((r\/(r**0\/r))\/r))\/r*r**8)\/(r\/(r*r\/(r**2\/r)))**(4\/13) assuming r is positive.\nAnswer: r**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4887\/12*(-4)\/42. Let t = r + 77\/2. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -390456, 1, -202 in decreasing order.\nAnswer: 1, -202, -390456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -9 (c) 51430 (d) 0.1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -0.4. Let n = q + -6.2. Which is the closest to 0? (a) n (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 447586 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 13*f - 87. Let c be k(18). Solve 0 = -c*a - 15, -5*w + a = -4*a - 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/134712 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 12*p = 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:46 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*a*g**3*o**3 - 4*a*g**3*o + a*g**2*o**3 + 2*a*o**3 + a + 2 wrt g.\nAnswer: -144*a*o**3 - 24*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3998 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 2:21 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1301472510 and 1062.\nAnswer: -1301471448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20346 less than 0.09?\nAnswer: -20345.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x**2 + 2*x - 1. Let h be a(1). Solve -2 = 5*d + n - h, 4*n + 4 = 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31029 or 93088\/3?\nAnswer: 93088\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2. Let d be ((-21)\/6)\/((-2)\/4). Suppose -2*t = -d*t + 25. Let n(q) = t*q**2 - 8*q**2 - 4*q**2. Give h(n(z)).\nAnswer: 49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 938394727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = -2*s + 57779. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, b: 3, i: 1, s: 1, q: 2, o: 12}. What is prob of picking 1 q and 1 s?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-14)*(-797860)\/4100 + (60\/25)\/(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**4 - 7*g**4 + 5*g**2 + 4*g**2 - 4*g**2 wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838 is divided by 210.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*t - 2252*t = -52596 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 4*w + 4 = 0, -23 = -5*u - 3*w. Suppose -5*p + 2*t = -21, 3*t = -2*p + u - 7. Solve 0 = p*f - 8 - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 5. Let w = m - -2. Is 38 - (-1)\/((-3)\/w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010100011010110111 (base 2) in base 15?\nAnswer: -122beb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100509 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 <= -35566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7234 + -3902. Suppose 2697 = 4*g - 5*t - i, 3*g - 4521 = 4*t. List the prime factors of g.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21135 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1*sqrt(243) - sqrt(243) - sqrt(27))\/(sqrt(9) - (sqrt(441)*3 - sqrt(9))).\nAnswer: -2*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 6. Let w be p(-6). Solve 2*x + 2 = 2*y, w*y = -3*x + 4*y + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 236 - -215?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frrz when four letters picked without replacement from dfdfrfzfzzfdz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4247*u**2 + 2*u - 6180.\nAnswer: 8494*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 247392997093.\nAnswer: 247392997095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -45*(-1518)\/3267 - (-3)\/33?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182958238423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17520?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2 - 2. Let x(t) = t - 3*t + t**i - 3*t**2 + 3 + 1. Calculate x(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -1 + 3\/2*h**2 - 4*h. Find the first derivative of o(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(-1)*y)\/y)\/(y*y**1)*y**(-3\/4)\/y**(-2\/9))\/((y\/(y\/((y*y\/y**(-1))\/y))*y**(-3)\/y)\/((y*y\/(y**(-2\/5)*y))\/y)**(-14\/5)) assuming y is positive.\nAnswer: y**(-1483\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkikkkkkkkk. What is prob of picking 4 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 250273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1. Let y = -162 + 157. Let q = -1 - 0. Which is the closest to 0.1? (a) y (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 10*r**2 - 35*r - 325. Determine j(-7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4 - (-65)\/15). Let n be 70\/147*w\/(-5). Which is the closest to -0.1? (a) -4\/9 (b) n (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3 - 6 + w**2 - 10*w + 8*w - 2*w**2. Let b(h) = 4*h**2 + 5*h + 27. Let l(c) = 2*b(c) + 7*d(c). Let m be l(6). Solve -m*g = -15 - 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2 - -1)*16\/(960\/(-36)). What is the smallest value in y, -6\/5, -0.2?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*q - 25 - 175. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -6*t - 9. What is c(-8)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11661362 is divided by 551.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-264)\/(-30) - (-12)\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 23*g**3 + 3*g**2 + 2*g - 2. Let o be y(1). Which is greater: o or 24?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7644762 (base 9) in base 8?\nAnswer: 17517744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - t + 9*d + 22 = 0, -36*d + 40*d = 4*t - 12 - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 10*f + 15*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**5\/5 - 56*v**4\/5 - 136*v**3\/5 - 32*v**2\/5 + 28*v + 88\/5 = 0?\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 + -11 + (-1 - -8) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - c**2 + 1. Let b = 540 + -544. Let d(z) = -z**3 + 122*z**2 + 4800*z + 63998. Let m(t) = b*h(t) - 2*d(t). Determine l, given that m(l) = 0.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4, 4*m + 5*w = 4*w + 10. Suppose c = 4*c - 15. Differentiate -2 - c - m*o + 3 wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1 = 0, y - 17 = -4*q + 10. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 5, d: 2}. What is prob of sequence rrq?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.108696 milligrams in micrograms?\nAnswer: 3108.696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1144880 and 20240?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 - 2749.76264?\nAnswer: -2407.76264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let t = 13214\/15 - 882. Let l = t - -7\/5. Which is the biggest value? (a) n (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-51)*1528\/573*(18\/(-8))\/3?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4774? (a) -1 (b) -3\/8 (c) -0.1 (d) 27 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1023 - 341?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 8. Let w be 2\/(4\/a)*-4. Suppose 5*p = d + 40, -4*p + d + 32 = w*d. Solve p = 4*l + f, -2*l - 2*l - 4*f - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10121 at most as big as -1\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -7\/55?\nAnswer: -7\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2. Let b(a) = -a**2 + a + 1. Let i(w) = -3*w**2 + 2*w + 3. Let y(t) = 2*b(t) - i(t). Let z(q) be the first derivative of y(q). Give z(s(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (406\/(-65))\/(-14) + 1\/(78\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 567 - 565. Let z(f) = -5*f + 3. Let m(v) = 8*v - 4. Let i(o) = 5*m(o) + 7*z(o). Calculate i(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241.2 rounded to the nearest ten?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -173214 (base 8) in base 13?\nAnswer: -22961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10339 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1205, -1137, -955, -599, -9?\n\"Answer: 10*l**3 - 3*l**2 + 7*l - 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nenaek. Give prob of sequence ken.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 4*w**2 + 51*w\/4 - 9.\nAnswer: (w - 12)*(w - 3)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*r + 320*r = 28 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*z + 1000 + 995 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((5 + -1)\/(60\/(-40))). Let o(w) be the second derivative of -1\/60*w**6 - w + 0 - 5\/3*w**3 - 2*w**2 - t*w**4 - 7\/40*w**5. Factor o(b).\nAnswer: -(b + 1)*(b + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -48*t + 1785. Let q(l) = 13*l - 447. Calculate 15*q(o) + 4*z(o).\nAnswer: 3*o + 435","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - z)*(3*z - 3*z + 6*z) + (-4*z + z + z)*(2*z - 5*z + 2*z) + z**2 + 0*z**2 + z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -2\/11, -1, -5, -2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-2\/25)))\/o**5)**40)**(-2\/47) assuming o is positive.\nAnswer: o**(1968\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/5))**13)**(-44)\/((((((s*s*s*s**(-1))\/s)\/s)\/s)\/s)**29)**(-20) assuming s is positive.\nAnswer: s**(-7516\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 11 - 253 = 0. Is r a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 185.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(35) + sqrt(35) - sqrt(35))\/(sqrt(20)\/(sqrt(28)\/sqrt(7))) - -4*(sqrt(343)*2 - sqrt(7) - (sqrt(700) - (1 + sqrt(700))))*5)**2.\nAnswer: 9920*sqrt(7) + 430928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 145 + 28 = -2*w, 3*w - 5*j = 163. What is the remainder when w is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 15, -33*t = h - 30*t - 38. Solve 1 = -12*c - h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/10 - 208*o**3\/5 - 25851*o**2\/10 - 12717*o\/5 = 0. Calculate o.\nAnswer: -54, -1, 0, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19 + 1)*(-6)\/4. Let v(c) = -6*c**4 + 69*c**3 + 21*c**2. Let z(d) = d**4 - 10*d**3 - 3*d**2. Let s(h) = y*z(h) + 4*v(h). Find f, given that s(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (152\/8 + -15)*((-16131)\/(-2))\/3?\nAnswer: 2, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 + (-7)\/5. Let d be 6 + -6 + (-1 - j). Let w = 10 - d. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 64 = -2*g. Find the common denominator of 2\/(-8) + g\/(-12) and -22\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 14. Let p be 48\/10 - c\/(-35). Let m = p + 7. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*g**2 + 0*g**3 + 50*g - g**3 + 16*g**2 to t*g + z*g**2 + u*g**3 + i and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(6))\/sqrt(2))\/((sqrt(192) + sqrt(12))\/sqrt(3)) - ((sqrt(25)\/sqrt(5)*6)**2 + -1*sqrt(20)\/sqrt(4))*-4.\nAnswer: -19*sqrt(5)\/5 + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 3. Let w be x(3). Suppose z = 46 + 29. List the prime factors of z\/6*(-1 - w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1522\/(-5))\/((-6)\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, -19 in decreasing order.\nAnswer: 1\/5, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 + 0.43. Let d = -29 - -28.346. Let l = v + d. What is l rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-30) + 5238\/5. Let u be 8\/(-44) - j\/(-11). Calculate the highest common factor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 12:24 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 21*h**2 + 12*h + 8. Let z(b) = 61*b**2 + 34*b + 25. What is -19*s(t) + 6*z(t)?\nAnswer: -33*t**2 - 24*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 787 + 65307?\nAnswer: 66205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 8*g + 34. Suppose 17*j - 13*j = -4*a - 36, 0 = 4*a - 2*j + 48. Let l be s(a). Which is smaller: l or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 267172*o*x - 339827*o wrt x?\nAnswer: 267172*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17145, 17250, 17357, 17466, 17577, 17690?\nAnswer: 17805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16919, 33642, 50193, 66572?\n\"Answer: -86*p**2 + 16981*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120615 divided by 297.\nAnswer: -3655\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k - 443. Calculate the remainder when 198 is divided by w(44).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727637?\nAnswer: 53, 13729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 575987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 10*o - 14. Let d be l(-8). Suppose d*w + w = 3*u - 75, 0 = -5*u - 5*w + 125. Suppose 21*i + 24 = u*i. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -578.0757446 + 1182.0758044. Let g = -604 + r. What is g rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3\/7 - 99945*o**2\/7 + 128532*o - 799776\/7 = 0. What is o?\nAnswer: -33324, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 37*r - 9*r)*(0 - 3 + 4).\nAnswer: 27*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-4)*78\/91. Suppose 5*c = 3*y - 14 + 1, 3*c - r*y + 3 = 0. Let p = 7 - 7.2. What is the closest to 0.2 in p, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqmszmqmmcmsqqzcs. What is prob of sequence css?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 39*b. Let s be l(-13). What is the second biggest value in 3, 4, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1427*l**3 - 4281. Let h(z) = 1. Give 4281*h(v) + j(v).\nAnswer: 1427*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z - 2. Let s(g) = 5*g + 1. Let b(h) = -9*s(h) - 4*t(h). Suppose -r = -5 + 6. Calculate the remainder when 14 is divided by b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 4*u**2 + 2*u + 4. Let n be h(-4). Let v = n + 78. Let l = -10 - v. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101296*w - 50647*w - 50658*w.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5, 8.\nAnswer: -2, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v = 4*p - 48, -3*v + 5*p - 44 = 0. Let l(g) = -g - 7. Let i be l(v). Find n such that i - 3*n**2 + 6*n**2 - 4*n**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 3, 1 in decreasing order.\nAnswer: 3, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 5*s**2 - 3*s - 4. Let a be d(4). Suppose 0 = 3*z - 4 - 2. Sort a, 5, z in descending order.\nAnswer: 5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8*i = -4*i - 56, -o = -3*i - 18. Suppose -n - 5*p = -o, 0*n + 3*n = -5*p + 65. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.5.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 6*w + 0*w**2 - 2*w - 2*w + 7. What is the units digit of i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/15*(-20)\/(-8) - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*k**4 - 1432 + 0*k**3 - 2*k**3 + 1437 + (-1 - k + 1)*(0*k**2 + 0*k**2 + 2*k**3) - k**4 - 4*k**4 + 3*k**4.\nAnswer: -32*k**4 - 2*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 15*r + 16 = 0. Let q(h) = -3*h - 15. Let s be q(r). Sort -5, -6, s in ascending order.\nAnswer: -6, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hehe when four letters picked without replacement from hefhefheehhhhe?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -4*u - 6, -66*k = -127*k + 66*k + u - 0*u - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/80? (a) 6\/7 (b) 0 (c) -0.06 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 6*d - 1. Let q(g) = -2*g**2 - 6*g. Let v(h) = -3*a(h) - 4*q(h). Determine v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 120 = a + 3*a, -y + 130 = 5*a. Let s = a + -23. Solve s*w = 5 + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-235))\/(9\/(-7335)) + (3521 - 3514)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.205 - 0.175. Let w = 69 - 70. Which is the second smallest value? (a) w (b) 0.4 (c) v (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**3 + 2*s**3 - 3*s**3)*(0*s + 0*s - s) - 5*s**4 - 75*s**2 + 75*s**2 in the form x*s + f*s**2 + o*s**4 + d*s**3 + u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.68 - 0.48. Let k = -0.2 + 0.2. Let l = k - -0.1. What is the nearest to l in 6, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let r(x) = 7811*x**2. Calculate r(o(j)).\nAnswer: 31244*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.4, -1 in ascending order.\nAnswer: -1, 0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**8\/70560 + c**7\/4410 - c**6\/630 - c**5\/60 + 2*c**2. Let a(x) be the third derivative of v(x). Factor a(j).\nAnswer: -2*(j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*f**2*q*y + 7*f**2*q - 103*f**2*y + 2*f*q*y + 1609*f + 4*q - 3*y wrt f?\nAnswer: 314*q*y + 14*q - 206*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 73 * 8.89163\nAnswer: 649.08899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9\/(-594)*6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.584 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*q - 5 - 55, -3*q + j + 16 = 0. Solve 0 = -q*f + 3*f + 5*w - 7, -2*f = 4*w + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - 0. Let k = m + 81.88. Which is the smallest value? (a) k (b) -4\/5 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**5\/6 + h**4\/3 - h**3\/6 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8228457 * -14.\nAnswer: 115198398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209.5 + -213.5. Put m, -4\/11, 1 in ascending order.\nAnswer: m, -4\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 5. Let k be g(-1). Suppose -i + 5*x + 25 = 0, -k*x + 0*x - 15 = 2*i. Suppose i = -19*l + 61 - 4. Solve 4*z + 1 = -l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 10:30 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/4 + 0 + 0. Suppose c*i = 5*i. Suppose n + n = i. Sort 3, n, 1 in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 53.1492 months?\nAnswer: 0.044291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1744 (base 8) to base 15.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*s - 3, 0 = -5*d + 4*s + 1738. Let x = d - 327. Solve -2*y - x = -15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*(1 + (-2 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*o - 18*o + 15*o**4 + (-2 + 0 + 0)*(-2*o + 2*o - 6*o**4).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = 0, -i + 4*h = 1 - 3. Let w(z) = -z**2 + 9*z + 14. Let m be w(i). Suppose 40 = f + m*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1174742*l**4 - 19*l**2 - 4*l + 92 wrt l?\nAnswer: 28193808*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r + 24. Let a(f) = -f + 6. Calculate 18*a(x) - 4*m(x).\nAnswer: 2*x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 3\/4 (b) -2 (c) 2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -q + 66960004, -3*q - 4*y + 125037757 = -75842247. Round q to the nearest 1000000.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 6 = t. Let j be (t + 93\/2)*280\/50. Suppose -2*c = 40 - j. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p = 4*q + 9, 17 = 3*q - p. Sort -1, 2, q in descending order.\nAnswer: q, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/230 and (-130)\/40*(-30)\/138.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2123, -2108, -2075, -2018, -1931, -1808?\n\"Answer: f**3 + 3*f**2 - f - 2126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) 0.5 (c) -1 (d) 3 (e) 2669\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 27*c - 59. Let p be y(24). Let i = 28 - p. What is the lowest common multiple of 12 and (-5 - -4) + -2 + i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + s - 7 + 3 = 0, 5*p + 3 = 2*s. Let g = 94 + -98. Put 4, p, g, -2\/11 in decreasing order.\nAnswer: 4, -2\/11, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(21\/2)\/7. Let q(u) = u**2 + 5*u - 4. Let a be q(n). Solve 16 = -3*c - a*z, -21 = -2*c - 0*z + 5*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/3 + 1814*j**2 + 1354976*j + 923544488\/3 = 0?\nAnswer: -1669, -526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*1\/(-2) + 0. Factor -2*z**n - 3 + 19*z**4 - 20*z + 2*z - 67*z**4 - z**2 + 72*z**3.\nAnswer: -3*(z - 1)**2*(4*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28895746\/123 greater than or equal to 234925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 14.3.\nAnswer: 5, 11, 14.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:35 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(5) + sqrt(10)\/sqrt(2)) + 2)*3.\nAnswer: 3*sqrt(2)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 6*j**3 - 29 + 68.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 3*b**2 - b. Suppose -2 - 1 = -o. Let s(t) = -6*t**3 + 8*t**2 + 3*t. Let u(v) = o*s(v) + 8*p(v). Find the second derivative of u(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Suppose 0 = -q + 2*p - 2, -q + r*q + 3 = 3*p. Suppose q = -6*d + 3*d + 33. Calculate the remainder when d is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - 91. Solve s*j - 75 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 231035767?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 13*p + 6. Let u be z(-10). Let v = 38 - u. Suppose 0 = v*b - i - 179, b + i = -3*i + 103. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 + 8*m + 14. Let r be i(-7). Let l(q) be the first derivative of 0 - r*q**3 - 35*q + 12 - 5. Differentiate l(h) with respect to h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -860.00000469 + 860. Round c to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339*q**4 - 14*q**3 - 85573*q**2 wrt q?\nAnswer: -8136*q - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2)*j)\/(j\/((j*j**2)\/j)))**(-10\/13))**(3\/2) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -353*k + 2. Let p(c) = -1079*c + 5. Give -7*o(x) + 2*p(x).\nAnswer: 313*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2010352*19.8\nAnswer: -39804969.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 17586300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15141, 60417, 135885, 241551, 377421, 543501, 739797?\n\"Answer: n**3 + 15090*n**2 - n + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 121. Let p = -2.8 + 3. Which is the second biggest value? (a) y (b) p (c) 2\/9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of y**4\/4 + 8*y**3\/3 + 19*y**2\/2 + 46*y - 79. What is the units digit of z(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 3. Let r be p(4). Let j(n) = -n**2 - 7*n + 18. Let c be j(-7). Do r and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -24*c + 83. Let t(q) = 16*q - 56. Let a(o) = -5*k(o) - 8*t(o). Let u be a(-11). Is u < 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i - 102*i - 314*i - 4*i.\nAnswer: -396*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11 = -s, 3*s - 4*s = 2*f - 7. Suppose 2*r = -f*p + 21, 4*r + 2*p = 19 + 3. What are the prime factors of (14\/r)\/((-4)\/(-12))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23330 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2262621 and 29414073.\nAnswer: 29414073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.823 and -0.12.\nAnswer: -2.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1564*c + 2*g = -1568*c + 34, g - 20 = -3*c. Suppose 2*x - v = -6*v + 65, 2*v = 2*x - 30. Solve x = -3*q - q, k + q + c = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 2*z + 8*b - 84 = -2*z - 3*b, 3*z = b - 34 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 3*h + 217. Suppose 3*s + 0*s = 15. Suppose 0*w - s*w - 196 = -3*y, -w - 38 = -y. Is h equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2 - p**2 + 2. Let j(g) = -4*g**2 - 5. Let z(i) = -j(i) + 5*s(i). Let d be (-5 - (1 - 3)) + 3. Determine z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-896)\/336*(-2)\/(-12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2489 + 2520. What is the remainder when 73 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*f - 5860876*f**2 + 201*f - 602*f + 5860874*f**2 + 200*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1. Let s(l) = 0*l + 2*l + 3 + 8*l + l. Let c(i) = -8*i**3 + 217*i**2 - 24*i - 82. Let t be c(27). What is t*s(w) - 3*b(w)?\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 8*o - 2. Let k be g(-5). Let t(j) = -28*j - 5. Is t(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1224291659 to the nearest integer?\nAnswer: 34990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m - 12. Suppose 20 = -4*s, -3*x - 2 = 4*s + 3. Let i be z(x). Let c = -3 + i. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/9 + 68*o\/9 - 40\/3.\nAnswer: -4*(o - 15)*(o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 2, -0.3, 4\/1333 in ascending order.\nAnswer: -0.3, 4\/1333, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7 = 11. Let p(w) = -w**2 + 6*w + 8. What is the remainder when p(z) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1292 = 18*h + 482 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1410*h - 15384 - 8669 = -83 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1104 - 0?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123\/605, -0.4, 0.1, 3 in increasing order.\nAnswer: -0.4, 0.1, 123\/605, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100100 (base 2) to base 11.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -40*q**2 - 44*q. Let p(n) = 8*n**2 + 9*n. Let b(u) = -2*i(u) - 11*p(u). Find the second derivative of b(r) wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 4 - 13)*(y + y**5 - y + (0*y**2 + y**2 + y**2)*(0*y**3 + 2*y**3 - 3*y**3) - 2 + 2 - y**5).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 126 = 2*a, -a + 79 = 3*q - 38. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24607, 93261, 207685, 367879, 573843, 825577, 1123081?\nAnswer: 1466355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01457 + -12.2993.\nAnswer: -12.28473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3 + (3 + 1 - 6)*(-3 + 5 - 1))*(57430*x + 37834*x + 489 - 489) to the form i + q*x and give q.\nAnswer: -381056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 135 - 125. What is the smallest common multiple of r and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(324))\/(sqrt(11) + sqrt(88)\/sqrt(2)).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -2\/11, -9\/4, -0.07?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101100 (base 2) in base 13?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-2 - 1102 - -1). Suppose -13*s - s + y = 0. Calculate the remainder when s is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 40 - 4 = 0. Calculate the highest common factor of q and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003384 to 7 dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114253900?\nAnswer: 2, 5, 1142539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*t - 4242, -o = -5*t - 3*o - 5319. Let m = t + 1861. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120.72 + 1.276.\nAnswer: 121.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127108476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:54 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2 - j + 4*j + 0. Let s(m) = m**3 - 4*m**2 + m - 1. Let w be s(4). List the prime factors of k(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51637 - -110?\nAnswer: 51747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.03. Let g = -109 - -125. Which is the closest to -2\/7? (a) h (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 492 in -0.5, 0, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33864d1 + -3?\nAnswer: 33864cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 2*x**2 + 0*x**2)*(2*x - 5*x - 2*x) + 2*x**3 + 2*x**3 - 2*x**3 + (-x + 4*x - 5*x)*(x**2 - 3*x + 3*x) - 2*x**3 + 1 - 1 - 6*x**3 + x**3 + x**3.\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 2*sqrt(1584))\/(1*sqrt(64)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-560)\/(-36))\/5*(-564)\/376\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l - 74. Calculate p(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -65, 0.1, 3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 726657 and 44376.\nAnswer: 5813256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 18 = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245 = -318*b - 4161 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x**1*x))\/(x\/x**1)**(-27)*x**9*x**(2\/7)*x**3\/(x\/(x*(x\/(x**(-4\/7)\/x))\/x)) assuming x is positive.\nAnswer: x**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 10 = 0, 0 = -5*n + i + 26 - 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 6*t**2 + 2*t - 10. Let j(m) = m**3 - 10*m**2 + 10*m - 13. Let b be j(9). Let p be b\/(-14) + (-204)\/28. What is the units digit of c(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*j - 15 = 2*o, 4*j = -2*o - 20. Suppose o = -5*i + 5*a + 125, 3*i - 4*a - 14 = 56. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176084122 to the power of 1\/2, to the nearest integer?\nAnswer: 13270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p - 9. Suppose -2*f - 8*f + 30 = 0. Suppose 0 = -f*q + 5*w, -3*q + 6 = 2*w - 5*w. List the prime factors of d(q).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8262 and -18.8.\nAnswer: 155325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 46.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46580 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (3211\/6175*20)\/((-2)\/(-15))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*h - y, -5 = 3*y + 7. Let s(x) = x**2 + 2*x + 8. Suppose -3*p + 4 = 2*j, -2*j + 4 = p + 3*p. Calculate the smallest common multiple of h and s(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20020112012211 (base 3) in base 11?\nAnswer: 1966212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4573263.79 and 0.13725?\nAnswer: 4573263.92725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qohuubov. What is prob of sequence hu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 2*j**2 - j + 13. Let s be i(0). Suppose 0 = -b - 6 + s. Factor 4 + b*v + 5*v**2 + 5 - 7.\nAnswer: (v + 1)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -110, -103, -92, -77, -58, -35, -8?\n\"Answer: 2*j**2 + j - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + -43?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - 14. Let i = 25 - -22. Let k = i + s. Which is the closest to -3? (a) 0.2 (b) k (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4728773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 6*c. Suppose -d + 2 + 2 = 0. Let x be h(d). Suppose a - 1 = 2. Calculate the greatest common factor of x and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14507 - 6019. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.059 + -0.141. Let d = 0.056 + 25.944. Let y = d - 25.7. What is the third smallest value in y, 3, w, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3859445 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48d543 (base 14) in base 7?\nAnswer: -30132013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1895, -3792, -5689?\n\"Answer: -1897*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v + 24*v + 186*v.\nAnswer: 169*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007101396 to seven dps.\nAnswer: 0.0007101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2*t**4 - t)*(0 - 3 + 2) - 135*t**4 + 282*t**4 + 245*t**4 in the form f*t**3 + p*t + j*t**2 + k*t**4 + c and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -4*u**3\/3 + u**2\/2 + 165*u + 35. Differentiate r(m) with respect to m.\nAnswer: -8*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -3 (b) -1 (c) -3\/10 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*n**4 - 195*n**3 + 7736*n**2 wrt n.\nAnswer: -288*n - 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(1 - 5 - -2). Suppose r = p - 5. Let d(h) = h**3 + 6*h**2 - 8*h - 2. Let n be d(-7). Solve k - 4 + n = w, -p*w - 1 = -3*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 1679?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 9*j**2 + 3*j - 28. Give g(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. What is the smallest value in j, 5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2944194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57876 and 7420?\nAnswer: 289380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7644 + (-5 - -11))*-1. Is (n + 4)*7\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11223 (base 4) to base 10.\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 12 + 0)*(3*v + 5*v - 5*v + (v - 4 + 4)*(0 + 4 - 2) - 4*v - 1 + 1 + v - v + 2*v).\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 365957 and 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1486*k + 1474*k + 90 = 2945*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/2 - 679*n**4\/2 + 23067*n**3\/2 + 52267*n**2\/2 - 59042*n - 73302 = 0.\nAnswer: -3, -1, 2, 38, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/32, -4.5, -21 in descending order.\nAnswer: -7\/32, -4.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1243 - 213320?\nAnswer: -212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5834854 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10400 + -41819\/4. Let q = v - -4607\/84. What is the second biggest value in q, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Suppose -2*u + u = -2. Let n(a) = 2*a**u - 2*a**2 + 5*a**2. Give n(w(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2268*w**3 - 2239*w**3 - 2277*w**3 + 2 + 6828*w**3 - 2.\nAnswer: 44*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 6*c + 12, -4*r = 3*c - 69 + 75 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, l: 1, u: 1}. Give prob of sequence uvv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19719*j**2*l + 2*j*l - 15469*l wrt j?\nAnswer: -39438*j*l + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 255 + 2998*m**2 + 0*m**4 - 2999*m**2)*(-4 + 1 + 1).\nAnswer: -2*m**4 + 2*m**2 - 510","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66499526 - 5?\nAnswer: -66499531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 3*n + 20, 7*n - 120 = j + 6*n - 115 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*a**3*i**2 + 3*a**3*i + 60*a**2*i**3 + 192*a**2*i - 3*a*i wrt i?\nAnswer: -410*a**3 + 360*a**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7053660 and 165.\nAnswer: 77590260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -197744 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/30*(-5)\/200*-12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 3*l**2 - l + 3. Let p be r(-3). Let b(a) = 3*a**2 + a + 1. Let s be b(-1). Solve -4*q + 2*d = -10, s*q - 4 = 4*d + p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 224871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:02 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0606 + 0.0606. What is the closest to -2\/7 in 2\/9, r, 3, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2013662 (base 8) to base 5\nAnswer: 113432404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 11. Determine s(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 49*r - 21 = 52*r, 2*v - 21*r = 36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 5 = 2*o. Suppose 2*r - 19 - 47 = -2*m, -4*r = m - 138. Suppose -f = 6*f - r. Calculate the greatest common factor of f and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -55*z - 2642. Calculate r(-48).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -59c?\nAnswer: 5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -176678 times 1.1?\nAnswer: -194345.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) - (sqrt(1375) - sqrt(1375)*2 - sqrt(1375)) - sqrt(1375))\/(sqrt(99)*5).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*b + 150 - 1053*b - 150 + 569*b - 1281*b.\nAnswer: -1724*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81387 = 17*a - 390498. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1610 + 5169. List the prime factors of z.\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2286278*b*t + 2720628*t with respect to b.\nAnswer: 2286278*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8173697 = -20*w - 46966303. Round w to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263917 is divided by 754?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + x - 6. Let o(z) = 3*z + 771. Calculate a(o(q)).\nAnswer: 18*q**2 + 9255*q + 1189647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:08 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-81))\/((-62)\/12))\/(22\/(-99)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.1 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**3 + 2*r**2 - 2*r + 2. Let y(u) = -15*u**3 - 5*u**2 + 5*u - 5. Suppose 14*i - 213 = -143. Calculate i*p(a) + 2*y(a).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, -1190, 3, 1, -4, -1 in decreasing order.\nAnswer: 3, 2, 1, -1, -4, -20, -1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6328981 millimeters in meters?\nAnswer: 0.0006328981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 19 + 53)*(728 - 344 - 360)*(0*d - 3*d + 4*d) as u + w*d and give w.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -117, -1 in decreasing order.\nAnswer: 0, -1, -3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 173 + -83 - 117 - -113?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166901 = -512*f + 4450*f - 100883 for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 23*z + 62. Let k(p) = -15*p - 63. Give 2*d(v) + 3*k(v).\nAnswer: v - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13126361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1738002 (base 10) to base 14.\nAnswer: 333550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 27*f + 1. Let g be ((-110)\/440)\/(3\/(-36)). Calculate i(g).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000728 rounded to six decimal places?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 82805719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(108) - (sqrt(108) + -1 + -5)) - (sqrt(108) - (-2*(sqrt(108) + -2))**2 - (sqrt(108) - -2*(sqrt(108) + 2)**2)).\nAnswer: -48*sqrt(3) + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 4, -116, 14 in decreasing order.\nAnswer: 104, 14, 4, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 524727 to the power of 1\/2, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6196269, -6196274, -6196279, -6196284, -6196289?\n\"Answer: -5*i - 6196264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**21\/y)\/y))\/y**(-33) assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15651, 15594, 15579, 15636, 15795, 16086, 16539?\n\"Answer: 5*v**3 - 9*v**2 - 65*v + 15720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**6 + 42140*u**5 - 11*u**2 - 123.\nAnswer: -240*u**3 + 2528400*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w + 2. Let q = 225 - 216. Let j(l) = 5*l - 41. Let h be j(q). Let g(c) = 6*c - 3. What is h*g(f) + 5*m(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-20)*488535\/(-228) + 5. Let p = -852 - v. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30e6 - 172b7?\nAnswer: -141c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 128*o\/3 + 2048\/3.\nAnswer: 2*(o + 32)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -27226 and 0.01.\nAnswer: -27225.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*18\/(-30))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5\/2 + 47*v**4\/6 + 127*v**3\/3 + 85*v**2 + 175*v\/6 - 125\/6 = 0.\nAnswer: -5, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -13*w + 16*w - 3*l, w + 2*l - 77 = 0. Let y = w + 82. Calculate the greatest common divisor of 23 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 16*a**2 + 8*a - 4. Is f(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381757 (base 16) to base 11.\nAnswer: 2090910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28670 and 2867?\nAnswer: 28670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -2*sqrt(152)*3 + -5*sqrt(152)*-1)\/(((-2*sqrt(88) - sqrt(88))*-6)\/(sqrt(11) - (sqrt(275) - 2*sqrt(275)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**2 - 4*j - 77. Give w(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - 5*r)*(-7*r**2 + 26*r**2 - 3*r**2)*(-1 + 3*r + 1)*(-1 + 1 - r).\nAnswer: 96*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by -13659?\nAnswer: 86\/13659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*u + 9, -30*y = -31*y + 4*u + 11. Sort 2, y, 18, 0 in increasing order.\nAnswer: y, 0, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**2. Suppose -24 = -8*t - 0. Let i(z) = 46845 - t*z - 46845. What is i(c(f))?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3866 is divided by 154.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-6)\/(-6*sqrt(196)).\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23020.81 nanograms to micrograms.\nAnswer: 23.02081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17a831 - 148?\nAnswer: -17a979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -216, -507, -916, -1443, -2088?\nAnswer: -2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2874677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**7\/10080 + b**5\/480 - b**4\/12 + 3*b. Let j(p) be the third derivative of l(p). Let j(y) = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14 + (4 + -14 - -18). What is the third smallest value in 3, 0.0372, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16603 is divided by 5493.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -107 - 5) + (98 - 81).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-934)\/467)\/(((-6)\/15)\/((-1)\/(-5)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5846\/988175 or 1?\nAnswer: 5846\/988175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5994088 divided by -422\nAnswer: 14204","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351 and 5319?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32770792471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2. Let w(g) = 30*g**2 - g. Calculate w(j(i)).\nAnswer: 120*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c - 8. Let p be o(2). Sort -1, p, -13.\nAnswer: -13, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.67 - -0.33. Let i = 9 + v. Let j = i + -26.56. What is j rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87176.48 meters to centimeters.\nAnswer: 8717648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Suppose -i*a + 202 = 644. Let g = -60 - a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 52600443?\nAnswer: -52600444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -44, 1\/7, -2\/5, -6\/11, 0.4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 34*y - 1236. Calculate f(36).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = 10. Let l(g) = -1228*g - 8. Let a be l(m). Let b = -2236 - a. Round b to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 6 = 3*p - 4*n, -5*p = -n + 45. Let a be (-12)\/p*3\/(-26). Let u = 2 - 3. Is a not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 10746524?\nAnswer: -10746530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**6\/105 - 2*t**5\/35 + t**4\/7 - 4*t**3\/21 + t**2\/7 + 11*t - 21. Let b(r) be the first derivative of n(r). Factor b(h).\nAnswer: 2*(h - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875, 885, 901, 923, 951?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 320574708 to the power of 1\/2, to the nearest integer?\nAnswer: 17905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + (6 - -4))\/(1 + -2). Solve -5*c - y = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0841 - 0.25153983.\nAnswer: -0.16743983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(931)*-4*4.\nAnswer: 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-13961)\/483*18)\/((-2)\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/42)\/(63\/147)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067294209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665, -4198, -13467, -31340, -60685, -104370, -165263, -246232?\nAnswer: -350145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32992556 to the nearest integer?\nAnswer: 5744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 75*v - 88*v = 203*v. Solve 116*n - 107*n - 45 = v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.015 - -1.015. Let t = 13.6 - 15. Let m = t + a. What is the third smallest value in -0.2, m, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - a**3 - a + 8*a**2 + 6*a - 2*a**2. Let c be y(5). Suppose -3*q - c = -8*q. Calculate the greatest common divisor of q and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484518187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21655332 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from jjjjjajuuj?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-1)\/(-2))\/((-21)\/105))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10) + ((-35)\/(-2625))\/(68\/(-255)))*-15?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28678?\nAnswer: 2, 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-128)\/(-20)*((-13000)\/(-16))\/25. Calculate the highest common divisor of 1274 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9821911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24833, 94118, 209593, 371258, 579113, 833158, 1133393?\nAnswer: 1479818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:49 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3 + 803968*n**2 - 4823772*n = 0?\nAnswer: 0, 6, 803962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 12*t - 81. Let z be j(17). Let b = -0.1 + 0.1. What is the closest to z in b, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*i**2*k - 1321*a**2*i + 3*a**2 + 77618708*i**2*k - 7*i**2 + 122 with respect to k.\nAnswer: -2*a**2*i**2 + 77618708*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 10. Suppose j*l + 160 = 2*h, -5*h + 4*l = -3*h - 160. Suppose 25 + h = 5*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((120\/(-90))\/((-56)\/(-21))*2*59).\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -566 - -305. Let g = 537 + z. Round g to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1061 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -a4aa22 (base 12) in base 13?\nAnswer: -6c8b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3120691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -d - 84738 + 4557, -4*y = 4*d - 160368. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-3) + 2\/(-6). Let n = 12 - 13. What is the closest to 1 in n, s, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -8)*(-1 - 7). Suppose -5*r + m = -12. Suppose -2109 = -r*d + d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 9 = -3*j - 0, 3*t - 6 = -2*j. Suppose 25*q - 15*q - 20 = 0. Put 9, t, -5, q in increasing order.\nAnswer: -5, t, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -16. Let o = -3 + u. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 1. Let m(k) = -5*k + 17. Let q(r) = -m(r) - 2*y(r). Let o be q(12). Suppose o = 4*x - x. Calculate the remainder when x is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -296, -324, -352, -380, -408?\n\"Answer: -28*o - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(36))\/sqrt(2))\/(sqrt(150)*-5).\nAnswer: -4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from {s: 1, k: 17}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/(-4) + 16065\/(-1836) + 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -233807 less than or equal to -233807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177941*j**4 - 3*j**3 + 66*j**2 - 144519624 wrt j.\nAnswer: 711764*j**3 - 9*j**2 + 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10267265?\nAnswer: 5, 1427, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6887*w - 3395*w = 791714 for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 + 1375\/7. Let y = 64.7 - 68.7. Put j, y, -1\/11 in ascending order.\nAnswer: y, j, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 + 2*a**2 - a + 4*a - a**2 + 19*a wrt a.\nAnswer: -12*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545a3 (base 11) to base 10\nAnswer: 79247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**7\/70 - 7*d**6\/40 + 3*d**5\/5 + d**4\/2 - 8*d**3 - 121*d**2. Factor b(i).\nAnswer: 3*(i - 4)*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 69. Suppose 0 = 3*r - 2*b - 1 - 27, r + 4*b = 0. Calculate the smallest common multiple of i and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3851 is divided by 222?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 211084, 211089, 211090, 211081, 211056, 211009, 210934, 210825?\n\"Answer: -k**3 + 4*k**2 + 211081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-1)*p))\/p**(-2)*(p*((p\/p**(-3\/4))\/p)\/p)\/(p\/p**(-4\/9)) assuming p is positive.\nAnswer: p**(47\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*i + 7, 10 = -0*m - 3*m + 4*i. Let x be (3\/(-2))\/(1\/m). Solve 7 = x*n - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**2 + 19 - 11*o**2 + 25*o**2 as c*o**2 + y + j*o and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t + t**2 - 262 + 4*t**2 + 264 to the form s*t + q*t**2 + v and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -21*r**2 + 17*r. Let c(i) = -5*i**2 + 4*i. Suppose -8*u - 185 = -3*u. Let w = 28 + u. Determine w*c(t) + 2*m(t).\nAnswer: 3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 12, 26\/3, 0.5, 0.2, 69 in descending order.\nAnswer: 69, 12, 26\/3, 0.5, 0.2, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2))**(-38)\/((x*x**(-1\/7))\/(x**(7\/5)*x))*((x**(-1))**(25\/4))**(-43) assuming x is positive.\nAnswer: x**(21881\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2642)\/(-5) - (10 - 742\/70).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 13516 = -59*i - 53*i. Calculate the remainder when 486 is divided by i.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -163*m + 145*m - 18, 2*b = -5*m - 73 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 4. Let f be g(-3). Let b be -3 + (-27)\/(-15) + f. Factor 0 - 2\/5*j + 0*j**4 + b*j**3 - 2\/5*j**5 + 0*j**2.\nAnswer: -2*j*(j - 1)**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 7*d**3\/3 + 7*d**2\/2 - 3*d - 153. Let s(f) = 8*f**2 + 8*f - 4. What is -6*h(b) + 5*s(b)?\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 319\/3, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 7 (b) -0.7325 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110011101111111101 (base 2) to base 13.\nAnswer: -568936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nna when three letters picked without replacement from {n: 3, a: 8}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/10 of a hour?\nAnswer: 11880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**6\/720 - 11*m**4\/2 + 7*m + 4. Let s(z) be the third derivative of y(z). Let x(p) = -11*p**2. What is s(x(q))?\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -118*i + 49. Is g(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2176177\/3 or 725393?\nAnswer: 725393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32213022 - 4?\nAnswer: 32213013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 7538?\nAnswer: -7533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + 34*d - 21. Let c be a(8). Sort 2, c, 6, -33.\nAnswer: -33, c, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 222 - 77. Suppose -m = 2*p - 3*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 17*h**2 - 7*h + 6. What is n(-16)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, 2, 5, -1 in descending order.\nAnswer: 26, 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**5\/60 - 7*i**4\/12 + 7*i**3\/2 - 14*i**2 + 4. Let k(x) be the second derivative of m(x). What is k(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and 0.06.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 215106 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -18*f + 8*f + f - 16. Let q be a(7). Let k = 149 + q. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - z + 56, 0 = 3*u + 2*z - 83 - 84. What is the greatest common divisor of u and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - 3*a + 22. Determine u(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a meter in millimeters?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 30 = -4*s, 0 = 3*d + 2*s - 0*s + 60. Which is smaller: d or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 9) to base 4\nAnswer: -1333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 1)*(2 + 4 - 4) + 3 + 2 - 4)*(-128 + 4*o + 128) + 3 - o - 3.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 2, n: 11}. Give prob of sequence jkn.\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, -0.4, 0.04, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2539761073.\nAnswer: 43, 83, 711617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -2. Let d = -2 - i. Let g = -9 - -5. Which is the third smallest value? (a) d (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 22862994.887?\nAnswer: -22862980.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6212925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-30))\/((-24)\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*w - n + 14, 10 = 5*n. Let m be ((-1)\/10*-2)\/(1\/w). Which is the smallest value? (a) -1\/6 (b) 2 (c) m (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0)\/(64\/96).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/175 and 73\/36785.\nAnswer: 183925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*g - 1 + 1 - 247*g.\nAnswer: -554*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77, -73, -65, -53, -37?\n\"Answer: 2*a**2 - 2*a - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 - ((-12)\/3 + 7). Let q = -2 - i. What is the least common multiple of 4\/q - 110\/(-6) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 593, 1375, 2321, 3509, 5017, 6923, 9305, 12241?\n\"Answer: 13*j**3 + 4*j**2 + 679*j - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (265\/(-848))\/((-10)\/36)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101 + 9*j - 4261*j**2 + 2490*j**2 + 2*j**5 + 2419*j**2 wrt j?\nAnswer: 40*j**3 + 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(931) + -4 + 0 + -2)**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ifi when three letters picked without replacement from aafaaiiffiafayf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*a**2 - 209*a**2 + 15*a**2 - 78*a**2 + 57*a**2.\nAnswer: -535*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 e when four letters picked without replacement from eocooeoocoecccceo.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/18 + (1070\/12)\/(-5). Put -1, v, 3, 4 in descending order.\nAnswer: 4, 3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x**4)*(-1032 + 88 - 478 - 447).\nAnswer: -3738*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180)*1 + sqrt(180))**2 + sqrt(180) - 3*(sqrt(180) - (-1 + sqrt(180)))**2 - (2 + (sqrt(180) + 3)*6).\nAnswer: -30*sqrt(5) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1875072252988 and -0.04.\nAnswer: 1875072252987.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = 3*d - 3, 4*f - 14 = -5*d. Let j be 415\/5063*f\/(5\/2). Is j at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9407020 by 1881404.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 1, i: 1, y: 2}. What is prob of picking 1 i and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -117*j**3 + 6 + 5*j**2 - 6*j - 226*j**3 + 330*j**3 + j**2. Calculate y(2).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6034313*g**3 + 0 + 0 - 6034316*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15 + 10\/2)\/2. Let n = 13 + -12.9. Let i = n - -0.3. Put g, 1\/5, i in increasing order.\nAnswer: g, 1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68443110 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f**2 - 4*f + 6. Let a be u(-3). Let s be (-3)\/(a\/6) + 3\/15. Solve s = -2*b - 0*b + 7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:59 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 9382\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 10.521961232?\nAnswer: -10.221961232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d - -781?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 2*q - 8 + 2. Give d(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v - 2*f + 100 = 0, f = 2*v - 40. Suppose 0 = -4*c - l - v + 31, 0 = 5*c - 3*l - 1. Solve 10 = -0*p - c*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + 0.148. Let t = u + -27.958. Let b = -27.9945 - t. What is b rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*k**2 - 1989 + 206*k**4 + 530*k**4 - 223*k**4 - 14*k**2 with respect to k.\nAnswer: 2052*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4)**(17\/3)*(n*n**6*n)**(-9\/7) assuming n is positive.\nAnswer: n**(260\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 177*s**4 - 93*s**4 + 3*s**2 + 2*s**3 - 1 - 87*s**4 - 2*s in the form o*s + n*s**2 + z + l*s**3 + i*s**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.609565 centimeters to kilometers.\nAnswer: 0.00000609565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1321 - -1321. Which is smaller: x or 4\/189?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from gkkkckkkkgkkkkg?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2537*k*s**2 - 142*k*s - k - 2*s**2 - 8*s - 1 wrt s?\nAnswer: -5074*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8 - l + 2 + 7 + 1. Let m be w(-10). Let n = m + 4. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132158 (base 10) in base 16?\nAnswer: 2043e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 1118896*c**2 + 129802028*c - 3764356368.\nAnswer: -(c - 58)**2*(c + 1119012)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-2*x**3 - 2 + 2) + 0*x + 0*x + x**3 + (-3 - 4 + 2)*(-10*x**3 + 35*x - 35*x) + 2*x**3 - 2*x**3 + x**3 + 3*x**2 - x**2 + 0*x**2 - x**3.\nAnswer: 53*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05246 and 5.\nAnswer: -0.2623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 42 = -0*c. Let m = c + -15. Suppose -m*k = -k - 15, 118 = 4*v + 2*k. Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -169*d**2 - 4*d - 4. Let k be w(-2). Let p be (1633\/2)\/(k\/(-8)). Let n = -23\/21 + p. Find the common denominator of 23\/8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.0089 + -0.0089. What is the nearest to -1\/5 in l, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-156354)*23)\/(-1)\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 6*h = 6. Let c(a) = -3*a + 4. Determine c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -22.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 + 197\/2. Let c(d) = d**3 + 14*d**2 + 30*d + 3. Let k be c(-13). Let o = 216 + k. Sort 5, o, -5, r.\nAnswer: -5, o, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/25504 and -79\/4.\nAnswer: 25504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3470, -6955, -10442, -13931, -17422, -20915?\n\"Answer: -l**2 - 3482*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*n + 1 = 0, 5*i + 172*n = 168*n + 9. Which is smaller: i or -12\/155?\nAnswer: -12\/155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 + ((12 - 0) + -3 - 11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 8\/1579?\nAnswer: 8\/1579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 5. Suppose -m = -3, k*m = -5*t + 3*m - 19. Let i = -3 - t. Solve i*z = -2*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13\/3)\/(1\/3). Solve -3*f + 4*p + 44 = 13, 5*f = -3*p + a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-614)\/(-921)*2\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*(-15)\/(-50)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 15 + -22 + -36 + 66?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1459 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227 * -1015.\nAnswer: -230405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/(57\/(-380))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11713 is divided by 690?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-1 - (4\/4 + 3)). Let m be (40\/10)\/(1\/f). Let h be (-3)\/((-27)\/(-3180)) + m\/(-6). Round h to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025866 to four dps.\nAnswer: -0.0259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*n + 165*n + 134*n - 5635 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 2*h**2 - 5*h**3 + 0*h**3 + 4*h**3. Suppose -4*i + 36 = -4*m, -5*m - 4*i + i - 29 = 0. Let k(c) = -c**3 - 2*c**2 + c. Give m*k(w) + 6*v(w).\nAnswer: w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20*(-39)\/(-18) - -21) + 22?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_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 398 (base 10) in base 3?\nAnswer: 112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1544 + 1514022?\nAnswer: 1512034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106540 and 2292132.\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {r: 4, k: 3, t: 1, o: 1, h: 1, e: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.461 - 0.061. What is p rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 9*n + 1. Let h be v(-7). Let d = -11 + h. What is the second derivative of -4*m + 0*m**3 + 3*m**3 + 2*m - d*m**3 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3192, -41 in descending order.\nAnswer: 1, -41, -3192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*-10*63\/(-180)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 404231331442 + -2?\nAnswer: 404231331440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 7 = g, -17035*i - 5*g + 21 = -17033*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/6 + 7*p**2\/2 - 3*p - 4. Let k(r) be the first derivative of i(r). Let l = -54 + 60. Give k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4187618*s**2\/5 - 104184*s\/5 + 648\/5.\nAnswer: 2*(1447*s - 18)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129679 + -75120. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, u: 5}. Give prob of sequence ujj.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*u. Suppose u = -2*r + 97 - 21. What is the greatest common divisor of r and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 178 = 2*a - 150, 8 = v + 5*a. Suppose 3*u = -30 + 171. Calculate the remainder when u is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2689 - -2775. What is the remainder when 857 is divided by j?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 8. Let k be j(8). Suppose u + k + 3 = 3*q, 8 = -2*q + 4*u. Suppose 612*o = 634*o - 44. Solve 3*t - q*a = 5, 0*a = -o*t + 3*a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 8*t + 760. Calculate the highest common divisor of 190 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0319912493 rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:20 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81741206?\nAnswer: 2, 67, 307, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7377.5111 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.2903286 rounded to the nearest 10?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -223322 (base 5) to base 9\nAnswer: -11826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Suppose 3*w = -2*v - 19, -5*v = -2*w - 0*w. Let f be m(v). Solve -10 = 2*d + f*k, -2*k - 3 = 5*d + 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r + 14. Let d = r + 31. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 + -46 - 74) + 100?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + 77. Suppose -t = -2*x - 2*x. What is the highest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -673874.\nAnswer: 673874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 4*v**2 - 7*v**3 + 3*v + 128 - 58 - 49 - 41 to k + q*v**3 + c*v + p*v**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4384351 and 4063?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 13 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12112 (base 3) in base 14?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3104 = -15*w + 237*w - 28*w for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 195511\/47 + -4160. What is the common denominator of (61\/244)\/(2\/(-182)) and c?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 39\/(-6)) + 33\/(-22). Let y be 2\/2 - 0\/k. What is the highest common divisor of 17 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 3*z + 6. Let t be l(4). What is the third derivative of 4*x**3 + 4*x**t - x**2 + 5*x**2 wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 20. Let x be (1 + -4)\/((-2)\/100). Suppose 0 = 4*r - l - 121, x = 4*r - 3*l + 19. What is the remainder when r is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -3*s**2 - s + 2 + 1\/3*s**3. Give a(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -18\/7*m**3 - 3\/7*m**4 - 39\/7*m**2 - 12\/7 - 36\/7*m = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1*9)\/2. Let x(u) = -u**3 + 16*u**2 + 61*u - 46. Let f be x(19). Calculate the highest common factor of f and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10729 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: Solve -3*o + 2*d - 24 = -2*d + d, -36 = 4*d - 20 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**3\/12 + v**2\/2 - 3*v\/4 - 263. Factor b(r).\nAnswer: -(r - 3)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3729? (a) -2\/321 (b) -2\/7 (c) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 167, 177, 191, 209, 231, 257?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2 + 76 + 11*m - 48 - 342399*m**2. Let h be l(-5). Round h to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwn when three letters picked without replacement from nmwnnww.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135324195?\nAnswer: 3, 5, 277, 32569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 0.92 (b) -1\/4 (c) 0.5 (d) -0.33 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*b + 3. What is the derivative of -o + 0 - b - 4 + 2 wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 386*h + 1153. Determine o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-13 + 28) - (-9 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -33*p**3 - 2*p**2 - 2*p - 1. Let t be m(-1). Let j(n) = 18 - t + 15. Let c(o) = 3*o + 1. Suppose -17*v - 2*v + 19 = 0. Determine v*c(k) - 3*j(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + sqrt(75).\nAnswer: 4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u + 1. Let x(w) = -2*w - 2. Let b be x(-2). Let f(q) be the first derivative of 0*q + 1 - 1\/2*q**b. Determine -f(s) + y(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26*x - 4. Let r(b) = 2*b. Let i(d) = 2*g(d) + 28*r(d). Let z = -185 + 198. What is the remainder when i(8) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0777 * -865.96.\nAnswer: 67.285092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -258*n**2 + 3*n - 3. Let g be i(1). Let l = -238 - g. Solve -2*r + 3*c + 13 = 0, 5*r + c - l = -4*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/4 - 4*l**3\/3 + 5*l**2\/2 + 3*l - 3. What is the remainder when m(4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -14054?\nAnswer: 14052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 32 - (0 + (-1 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.4?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428459 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**5\/5 - 35*b**3\/3 + 1435*b**2\/2 - 1462. What is the second derivative of g(r) wrt r?\nAnswer: -36*r**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 5*n**5\/12 + 2*n**2. Let b be v(-1). Let r = -400 - -403. Solve r*x - b = -3*l + l, 0 = -3*x + 4*l - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*o + 4, -s - 4*s = -4*o - 28. Let j(t) = t + 10. Calculate the remainder when j(s) is divided by 30\/4*(-4)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/396 and ((-10)\/4)\/((-438)\/(-1971))?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 2069.\nAnswer: -2, -1, 2069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2, -1, 6\/5 in decreasing order.\nAnswer: 6\/5, 1\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -38, 2\/21, -5\/6, 2\/13, 16?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 290024852 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3 (c) 3000 (d) -2 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, b: 4}. Give prob of sequence bkkb.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/10)\/(((-1890)\/35 + 51)*(-3)\/105).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27832, -27829, -27826, -27823, -27820, -27817?\nAnswer: -27814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/(k\/(k*k**(-3)))*k)\/k)\/k)\/k)\/(k\/(k*k\/k**(-8))))\/((k*k**25)\/k**(-10)) assuming k is positive.\nAnswer: k**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3482667433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11832569 less than 0.7?\nAnswer: 11832569.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 0.28, 0, 1\/4, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 30) + (-5 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*g - 197*g = -64. What is the remainder when 2\/((1 + 2)\/27) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l - 8. Let f(j) = j + 3. Let i(u) = 8*f(u) + 3*s(u). Let d(t) be the third derivative of -t**5\/30 + t**2. Calculate i(d(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**5 + u**2 - 2*u. Let w(x) = 9*x**5 + 12*x**4 - 24*x**3 + 9*x**2 + 16*x. Let b(q) = -22*c(q) - 2*w(q). Factor b(j).\nAnswer: 4*j*(j - 3)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 12, 4*q = 5*k - 0*q - 41. Let m(l) = -l**3 + 6*l**2 - 4*l - 2. Give m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14470 - -7666. Which is smaller: h or -6803?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20c52 (base 15) in base 11?\nAnswer: 71180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(-8))\/((10\/(-8))\/(630\/504))?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 6. Let j be (2 + -7)*12\/10. Let c be v(j). Factor -s**4 + c*s + 1\/3*s**5 - 1\/3*s**2 + 0 + s**3.\nAnswer: s**2*(s - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 43*t = -123*t - 596. Put 2, -256, -1, t, -11 in decreasing order.\nAnswer: 2, -1, t, -11, -256","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from fzzfaq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.331 plus 2.095607?\nAnswer: 2.426607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*o - 2*o + 28, -3 = v - 2*o. Let z(j) = -5*j**2 - 6*j - 3. Let a(s) = -14*s**2 - 17*s - 8. What is v*z(t) + 4*a(t)?\nAnswer: -t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.21254 and -0.22.\nAnswer: -0.00746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10335)\/5512*(-2448)\/45.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-4) - (-3)\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 155 = -5*j, 731*u - 8*j = 736*u + 116 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4122837 is divided by 48.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 6. Let y be z(-9). Let q(s) be the third derivative of 1\/120*s**6 - 2*s**2 + 0 - 1\/8*s**4 + 2\/3*s**3 + 1\/30*s**5 + 0*s. What is q(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 1 + 9\/(-3) - -1886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -39129600.1047?\nAnswer: 39129599.9047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 4:30 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 7, 3, -4\/15 in decreasing order.\nAnswer: 7, 3, -4\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = 4*h + 2*w, 4*w = -3*h + 1. Is 3 + h + (-9004)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and (-3)\/9 - 57\/(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)\/(x*x\/x**(-9\/5)))\/(x**(-6))**(-47) assuming x is positive.\nAnswer: x**(-12871\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 96369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = 0. Let w = 7 + o. Suppose -w = -2*i + g, -7*g + 2*g = -3*i. Solve -2*j - 5*q - 10 = 5, 0 = -2*j + 5*q - i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z - 16. Let j(l) = 3*l - 8. Let p(k) = 13*j(k) - 6*v(k). What is p(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3590774 by 34.\nAnswer: 105611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*10.78089\nAnswer: -5.390445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from tttfbbffbtftf?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2*(-4)\/(-408)). Let o = 54 + f. Solve 2*q - 1 = -l + 3*q, -l = -o*q + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a - 35. Determine i(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 69\/30 + -3 - (-45)\/450. What is the closest to 8 in o, 3\/8, -8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 142106.\nAnswer: 142111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13244.47825 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/15)\/(4\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85642 is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -82*g - 1. What is the remainder when w(-1) is divided by ((-42)\/10)\/(((-2)\/(-15))\/(176\/(-132)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = -12, 0 = -2*r - 4*v - 44. Calculate the lowest common multiple of (-12)\/(-15)*(-15)\/r and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -7 (b) -2\/5 (c) -0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-358)\/6)\/((-3)\/9). Let f = 12 - 7. Suppose -4*m - k = -q + 34, 3*q = f*m + 674. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*s - 3, -2 = -s - 0. Suppose -i = x*a - 110, 5*i = -5*a - 0*i + 130. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*z + 1 = 14, -3*n + 5*z - 1 = 0. Which is the nearest to 21? (a) -2 (b) 2 (c) n (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1896 in 0, 0.1, 0.2, -157?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -14*n. Let q be k(1). Let o = -37 - -88. Let i = q + o. Calculate the remainder when i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 20. Suppose 0 = -5*k + c*k + 236. List the prime factors of k.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3283 is divided by 1633.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 388399147 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7744.077 micrometers in nanometers?\nAnswer: 7744077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - x = 2*g + 434, -3*g = x - 262. Suppose u - g = -0*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/570856 and 25\/154.\nAnswer: 3995992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 939408 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 135\/(-6) + 6\/4. Let t be 28\/s*(-9)\/6. What is the nearest to 0.1 in -0.4, 3, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -279 - -277. Let q = 1 - 4. Put q, z, 3 in ascending order.\nAnswer: q, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 45*w**5 + 3205*w**4 + 12905*w**3 + 11755*w**2 + 2010*w = 0.\nAnswer: -67, -3, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 3d87?\nAnswer: 3d7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193999 + 644*w - 96995 - 2605*w - 97004.\nAnswer: -1961*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588)*-1 - (sqrt(132)*2)\/sqrt(11))\/(sqrt(60)\/(sqrt(10) - (sqrt(30)*2)\/sqrt(3))) + -2.\nAnswer: -2 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f - 66. Calculate s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5780 and 680?\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8712 + 17429 - 15508*t - 8717 to r + v*t and give v.\nAnswer: -15508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 60 (b) 2 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by 174893.\nAnswer: -154\/174893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 + -175. Let o(z) = v*z - 4*z - 6*z. Let a(w) = -w - 4. Calculate a(f) - 2*o(f).\nAnswer: f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 + 3*v**5 + v**5 + (-v**3 - v**4 + v**3)*(-2*v + 2*v + v) + (-2 + 2 + 2)*(2*v**4 - 2*v**4 - 5*v**5).\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 54568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76296*s**3 - 6*s**2 + 86*s - 8 wrt s.\nAnswer: -457776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c**2 + 0*c + 4*c**2)*(-6105*c**3 - 5457*c**3 + 10255*c**3).\nAnswer: -5228*c**5 + 2614*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, -5, -4, 4, -2 in increasing order.\nAnswer: -13, -5, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 5)*(-h + 3 - 3)*(2 - 3 + 3) to the form p*h + v and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 52*a**2 + 5*a - 1. Let h(d) = 208*d**2 + 21*d - 3. Calculate 2*h(l) - 9*j(l).\nAnswer: -52*l**2 - 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -55 - 30. Let d(z) = -6*z + 29. Suppose 21*l + 22 = 32*l. Let n be d(l). What is the highest common factor of j and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146 (base 11) in base 6?\nAnswer: 10542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.571954 weeks in minutes?\nAnswer: 46085.29632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185684, -185642, -185600, -185558?\nAnswer: -185516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 1 + 8*r + 0 - 6*r to the form w*r**2 + k + q*r + s*r**4 + u*r**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psygyypsyp. What is prob of picking 2 y and 1 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f - 7. Let t(c) = -35 + 19*c + 278 - 243. Calculate u(t(v)).\nAnswer: -209*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -17, -3452, 3 in decreasing order.\nAnswer: 5, 4, 3, -17, -3452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-4)\/6*(-5046)\/116 and ((-10)\/(-3) + -1)*3.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:22 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.88. Let g = -2196 - -92333\/42. Let n = g - 17\/6. Which is the second smallest value? (a) n (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8430 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-36) + (-4)\/6 - 616\/(-736)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/27*15\/10?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11248354 is divided by 44.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -14 - 6. Let x be 2\/((-8)\/(-180)) - o. Find the third derivative of 14*m**4 + x*m**2 - 5*m**2 - 3*m**2 wrt m.\nAnswer: 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/5 + 518*c**4\/5 = 0. What is c?\nAnswer: 0, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*x + 7 - 20*x - 2)*(-84 - 150 + 415) as j*x + b and give j.\nAnswer: 1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1302)\/1323 - (12\/27 - 0).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in minutes?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 20 = 7*t. Suppose 2*k = -0*k - t. Let l(c) = c**2 + 5*c + 1. Calculate l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 4*o**2 + 3*o + 4. Let a be j(2). Suppose -3*i = -2*t + 1024, -a*t - 4*i + 534 = -t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 25 = -3*q + 5*h, -26 = -4*q + 3*h for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*m + 608*m**2 - 1199*m**2 + 86*m + 595*m**2 to the form x*m**2 + p*m + b and give p.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263340 and 165984.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-17017.\nAnswer: 8508.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-28) + (-4)\/12*6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let c be (-5 + 0)*(-6)\/15. Let b be (c + 0)\/2*(-72)\/(-24). Calculate w(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -19*i**3 - i**2 - 2*i + 16. Does 54 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**3\/6 - 2712*q. Let r(o) = -13*o + 2. Let t(c) = -53*c + 9. Let i(k) = 9*r(k) - 2*t(k). Determine b(i(j)).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17.025? (a) 3.3 (b) 2\/17 (c) 0 (d) -2 (e) 0.3 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86163.4m to micrometers.\nAnswer: 86163400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 43 + 59. Let u = 3\/1037 + -530959\/5185. Let y = u + i. Which is the closest to -2\/5? (a) y (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = -12*z + 28*z. Let r(f) = 2*f**3 + 5*f**2 - 5*f + 457. Let l(j) = 5*j**3 + 14*j**2 - 14*j + 1370. Let t(g) = 3*l(g) - 8*r(g). Is t(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 9323*z**3 + 33*z**2 + 18566*z**3 - 9267*z**3 to the form i + s*z**3 + g*z**2 + k*z and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 6. Let g(u) = 5*u**2 - 14. Let t(q) = 3*g(q) - 7*h(q). Let b(f) = -86*f + 1. Give t(b(m)).\nAnswer: 7396*m**2 - 172*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 24*z - 7. Suppose 0 = 3*f - 29 - 31. Let a be 4\/(16\/f) - 1. Is u(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*c - 3654 = -17*c - 68*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2. Let k be (1 - 1)\/(5\/(20\/(-8))). Let r(m) be the first derivative of 1\/3*m**3 + 4 + 0*m**2 + k*m. What is g(r(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 38236.9 nanometers?\nAnswer: 0.0000000382369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/32)\/(17\/(-340)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 676922 + -25641. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/16 of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.68*167.434.\nAnswer: -448.72312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:11 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8) - 5\/(-20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y + 29. What is the hundreds digit of p(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -2) + 1*3. Let b be (-15)\/c*(-10)\/15. Suppose -b*m - 4*q + q = -89, 76 = 4*m + 4*q. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p - 37 + 163. Calculate the remainder when 24 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324227067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = -2*t + 3*t. List the prime factors of t.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1033*q**2*r**3 + q*r**2 + 5068*q - 3693*r**3 - 2*r**2 - r - 197 wrt q.\nAnswer: 2066*q*r**3 + r**2 + 5068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(4 - (14 + -13)). Let k(w) = -2*w + 3. Let y(c) = -6*c + 10. Calculate x*y(b) + 8*k(b).\nAnswer: 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/15)*s\/(s**2\/s)*(s**0)**(-48) assuming s is positive.\nAnswer: s**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77590*q**3 - 4153*q**2 - 3.\nAnswer: -465540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18067937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 2}. What is prob of sequence mm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11267 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1545 = 1173*t - 1276*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.08 (b) 0.25 (c) -5\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 20*f**2 + 132*f + 481. Calculate x(-7).\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - (-4 - -3)) + 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592749 + 295165 - t**3 + 295975.\nAnswer: -t**3 - 1609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(4))\/sqrt(5) - -1*sqrt(128)) + (3*(sqrt(2) - sqrt(4)\/sqrt(2)) - 1*-1*sqrt(2)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 92915800 to the nearest 100000.\nAnswer: 92900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161\/(-21)*3 + (-5 - -4)*0*1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6574*p - 111771. Give q(-17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 753098 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 822 - -934. Suppose -z = 2*r - 4*r + h, r + h - 875 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -445 or -6?\nAnswer: -445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 33*i - 177. Let k be v(-26). Let c be (-2 - (-28)\/6)*6. Let y = 12 - c. Sort 6, y, k, 0.\nAnswer: y, 0, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 231 and 4746.\nAnswer: 52206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 24*h**2 + 142*h + 6. Let o be n(-6). Suppose 3*p - 10 = -2*p. Solve p*a = -4*d + 12, 2*d = -0*a + 5*a - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 2*v, 2*v + 4 = -0. What is the third derivative of -r**h - 4*r**6 - r**2 + 6*r**6 - 3*r**6 wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 7*d**2 - 3*d + 3. Let p(u) = u**2 + 14*u + 20. Let v be p(-13). Determine y(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-100710)\/(-24))\/15 + (-2)\/(-8) and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/4425 and -23\/377425?\nAnswer: 66804225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -132, -137, -178, -273, -440, -697, -1062?\n\"Answer: -3*o**3 + 16*o - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001253 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 - b**2 - 21*b + 5*b to the form y + i*b**2 + s*b and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 804357*l**4 + 987698502*l**3 - 63724716*l**2 + 1370440*l - 9824.\nAnswer: (l + 1228)*(93*l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7156213797718 + 0.109?\nAnswer: 7156213797718.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0031 + -0.1969. Put j, -3, -1\/2, 1 in descending order.\nAnswer: 1, j, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 11:19 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 32. Suppose -4*y + 0 = -8. Put r, 0.02, y in descending order.\nAnswer: y, 0.02, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {z: 1, j: 5, w: 3, p: 7, i: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -3*r**4\/4 - 3*r**3 - 3*r**2 + 4. Let a(h) = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000035461187 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 + 0 = 0. Let s be (j + 0)*0\/(-2). Solve f - 5*f + 16 = s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-902747)\/(-270) - (-134)\/335. Let u = b - 3344. Is 1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16820726822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o = 24*o + 20, 5*o - 47 - 28 = -11*x - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 18 = -48. Let t be (2 + g\/(-2))*(-20)\/(-15). What is the greatest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36\/15*(-105)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 12:10 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313321169?\nAnswer: 7, 17, 1193, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 19\/90*j**6 - 2*j**2 - 1\/3*j**5 + 0*j + 0 + 1\/18*j**4 + 4\/9*j**3 - 2\/45*j**7. Factor o(w).\nAnswer: -4*(w - 1)**3*(7*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(209) - -1*sqrt(209)) + sqrt(209)))\/sqrt(11).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 69 = 2*j + 18, -5*m - 3*j + 145 = 0. Calculate the remainder when m is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(18)\/sqrt(81))**2*4.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 544*b. Let o(h) = -14*h. Determine o(w(z)).\nAnswer: -7616*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -77 (b) 0.1407 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -355, 0, 5 in ascending order.\nAnswer: -355, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17911545709*s + 0 - 17911545701*s + 0.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1026 + 153 = -97*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24434 is divided by 154.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 228, 762, 1668, 2946, 4596, 6618?\n\"Answer: 186*x**2 - 24*x + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22176 = 125*r - 561*r + 128*r for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 5*c**2 + 3*c - 1. Calculate s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -4)*4\/(-2). Let c be 1 + (-2)\/4*-2. Suppose c*y = -3*i - 10, k*y + 3*i + 2 = 2*i. Solve j + 3 - y = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12699042 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, 5\/3, 9.142, -1\/8 in descending order.\nAnswer: 9.142, 5\/3, 0.2, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 160080957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 1\/3 in increasing order.\nAnswer: -9, -4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -28, -610, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13985 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 2223 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 7*r + 6. Let y be o(-7). Suppose 0*g + 10 = 5*g. Solve g*k - 8 = y*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 90. Differentiate -h*t - 40*t**2 + 2*t + t - 23 with respect to t.\nAnswer: -80*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5170 - 4793. Calculate the remainder when l is divided by 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 199*h - 7 - 4 + 11 in the form x + y*h and give y.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**3\/3 - 9*h**2\/2 - 5*h\/2 + 7\/3 = 0.\nAnswer: -1, 1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**3 - 22*m**2 + 15*m - 32. What is p(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.1692 rounded to the nearest ten?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -664 + 12637109173.1\nAnswer: 12637108509.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 439.\nAnswer: -2\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 8*i**2 + 8*i - 3. Let u be k(8). Suppose -3*o - s + u = -2*o, -6 = 3*s. Suppose 18 = -5*h + o. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzzz when four letters picked without replacement from {z: 3, n: 1, r: 2, g: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) 3\/7 (b) -0.4 (c) -5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -1. Let k = c - -3.3. Let m = 1025 - 1025.5. Put m, k, -2 in decreasing order.\nAnswer: k, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380955901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -8 - 168\/77.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*c + 3*c + 6*c)*(3 - 4 + 3) - 5*c + 3*c + 3*c)*((-3 + 2 + 3)*(-4 + 1 + 5) + 3 + 0 - 2 + 0 - 1 + 3) in the form n + f*c and give f.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -33*a. Let o(p) = -2*p + 4. What is g(y) - 8*o(y)?\nAnswer: -17*y - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 39\/37, -0.6, -0.4 in descending order.\nAnswer: 39\/37, -0.4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -13*p - 2. Differentiate -20 + 16 - 17*y + 6*y + p*y**2 + 54 wrt y.\nAnswer: 4*y - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -209434*o**2\/13 + 1047162*o\/13 + 40\/13.\nAnswer: -2*(o - 5)*(104717*o + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71666.03 millimeters in kilometers?\nAnswer: 0.07166603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34395 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 21. Let w = 6 + -6. Let d be f(w). Let q = -13 + d. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 3*b**3 + 3*b**3 - 3*b - 4*b**3 to d*b**3 + f*b**2 + g + y*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/50331723 and -61\/3682809?\nAnswer: 150995169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t = 2*t - 175 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -515?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from otot?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -897aa63?\nAnswer: 897aa5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:26 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:09 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (520\/(-650))\/((-4)\/30 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/3, 6905, -2, 2\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 + 9*t**2 - 7*t + 2. Let q be (-26)\/(-8) + 117\/156. Let b = -136 - -143. Let x(u) = -u**3 - 5*u**2 + 4*u - 1. Calculate b*x(l) + q*p(l).\nAnswer: l**3 + l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 490*b**2 + 407*b\/2 + 3 = 0.\nAnswer: -2\/5, -3\/196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 3:10 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5\/m**(-2)*m**2*m**(1\/3)*m\/m**(-1\/2)*m*m**(-4)\/m*m*m**(-1)\/(m*m\/((m*m**(5\/2)*m*m)\/m*m)) assuming m is positive.\nAnswer: m**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311340 by 15567.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2975 and 833?\nAnswer: 20825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -11 - 29. Suppose 9 = -4*w - q, 7 + 8 = -5*w - 5*q. Let j = o + w. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + x - 5 - 6, 0 = 3*m - 2*x + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-8)\/(-32)*-6))\/((-827)\/(-138) + -6)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9\/4)*a)**(1\/2) assuming a is positive.\nAnswer: a**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d + d + (2*d + 0*d - d)*(-2 + 4 + 0) + d - 3 + 3 - 2*d - 2*d + 6*d - d - 3*d - 2*d)*(-2 - 1 + 6).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**2 - 4*n**5 - 5*n**2 + (-5*n**4 + 4*n**4 + 0*n**4)*(n + 0 + 0) + (-3*n**2 + 8*n**2 - n**2)*(-2*n**3 + 0*n**3 + 4*n**3).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/15337 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-16 + 17 + -28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(15)\/sqrt(3))*-4 - (sqrt(150)\/sqrt(6))\/sqrt(5).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 18291 = 145*u + 93*u. Solve -u*p - 56 = -39*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + h = 1 - 15, 8 = -4*y - 4*h. Let d(n) = n**3 - 6*n**2 - 3*n + 14. Let z be d(6). Put -3, y, z in decreasing order.\nAnswer: y, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -718.8 and -0.045.\nAnswer: -718.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -414 - 4084. Do a and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2221\/30 - -371\/5. Sort l, 2, -10, 1, -1\/7 in ascending order.\nAnswer: -10, -1\/7, l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118770 is divided by 4949.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - 1 - 0 - (-29 - -21)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1311\/(-3059))\/(39\/7)*6\/1.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-26)\/w)**(-13\/4) assuming w is positive.\nAnswer: w**(351\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/15 - 254*u**2\/15 + 1308*u\/5 = 0. Calculate u.\nAnswer: 0, 18, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 7:54 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:15 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 at most 97204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 - 7*w + 3*w + 2*w**4 + (0 + 0 - 2*w**2)*(2*w**2 + 3 - 3) + 5*w**4 + w**4 - 4*w**4 - 2*w**4 + 2*w**4 - w**4 + w**4 - w**4 + w**4)*(-w + 4*w - w).\nAnswer: -2*w**5 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*c - 14*c + 15*c)*(7*c - 1 + 1)*(-2*c + c + 2*c).\nAnswer: 238*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1438*p**3 - 2 + 2 - 1433*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -685 - -689. Suppose j = 10 + 24. What is the derivative of -j - 12*h**4 + 8*h**t - 22*h**4 wrt h?\nAnswer: -104*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -20\/226919?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -7, 0.6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 1.08. Let m = -58086.99884 + 58088. Let n = v + m. Round n to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 8*f + 10. Let z be k(-9). Let j = -0.6 - -1. What is the second biggest value in -5, z, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005071243 to 7 dps.\nAnswer: 0.0000507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1417270987 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1944 = -5*h, 550 = 2*f - h - 416. Suppose 5*j - 33 = -2*c + f, -5*c - 119 = -j. Calculate the highest common divisor of 26 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 548.19 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3634*19.\nAnswer: -69046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 18*s - 16*s. Find the second derivative of -80*a**s - 64*a + 44*a - 28*a wrt a.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) 135 (c) 1\/3 (d) -4 (e) -2\/7 (f) 111 (g) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367171229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*t - 71 = 2*t, 0 = 5*v + 4*t - 88. Let c be (-8)\/v - (-6)\/15. Let n = -51 + 74. Solve -3*i - 5*a + 21 = c, 3*a = -4*i - 2*a + n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1446\/33 - (2\/(-11) - 0). Let r be 4*((g\/16)\/1 - 3). Is r > -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 8*h - 3864. What is v(-37)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-60) + 114\/(-152)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - h - 4 + 5 - 10*h + 7*h.\nAnswer: -4*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)*y\/(y\/(y\/(y\/y**(-3)))))**39*((y\/((y\/(y\/y**(2\/3)*y*y))\/y*y))\/y)**24\/(y*y*y\/((y*y*y**(-2\/11)*y)\/y)*y\/y**(2\/13)*y) assuming y is positive.\nAnswer: y**(-55929\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2772 + -0.61399656\nAnswer: -2772.61399656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011 + 0?\nAnswer: 10111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 9*u**2 + 2*u + u - u - u**2 + (5*u + u - 4*u)*(5 + 5*u - 5).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 12*n - 16. Let b be m(10). Let d(u) = -u**2 - 7*u + 1. Let f be d(-7). Solve -f = b*j + 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*w - 492*w - 500*w - 498*w + 2495*w - 495*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 1063412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 14, -0.4, -21, 0, -0.059 in decreasing order.\nAnswer: 14, 0, -0.059, -0.4, -0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1102 and 74499.\nAnswer: 4320942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8223 - 8242) + (1 - (1 - 1)) + -49?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9498*d - 98205 = 110751 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 2*a + 4. Let o be c(3). Calculate the highest common factor of o and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-21205)\/1530 - (2 + -1)\/9.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*q + 4*y, -4*y = 4*q - q + 5. Let n(h) = 23*h + 4. Let z be n(q). Solve -5*p - 9 = -4*g, 3*p + g + z = -2*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3949 divided by -6\nAnswer: 3949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 15*h = -5. Solve -268*d + 258*d - 5*d**2 + h + 10 = 0 for d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51372095 smaller than -51372093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-15)*30\/100. Let u = y + -2\/25. Let j = -9.7 + 10. Put j, u, 0.4 in descending order.\nAnswer: 0.4, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -678216536887 and 161.\nAnswer: -678216536726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 7 + (-1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318278046 divided by 2.\nAnswer: -159139023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(150))\/sqrt(2).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 529, 1041, 1581, 2047?\nAnswer: 2337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 - 65724*k\/11 - 10933600.\nAnswer: 2*(k - 34600)*(k + 1738)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, -0.24, 2?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 2\/1411?\nAnswer: 2\/1411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000097982489 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + r + r + (2 - 4 + 4)*(12 + r - 31 + 4).\nAnswer: r - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -33. Let a = 14 + d. What is the nearest to -0.1 in a, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2825317, -2825314, -2825309, -2825302, -2825293, -2825282, -2825269?\nAnswer: -2825254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 17 + -27 - 1*(-2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.5741 nanometers to meters.\nAnswer: 0.0000000285741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.639 - 0.639. Let m = -5 - -3. Put 0.3, r, m in decreasing order.\nAnswer: r, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47900 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 2*o**2 + o**4 + o**4 + 3*o**2 - 14 - 3528*o + 3532*o - o**3 in the form f + j*o + v*o**2 + k*o**3 + z*o**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263477010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2792 = 552*n + 32 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -98325 to the nearest one thousand.\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.48 + -44?\nAnswer: -126.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1116 by -6.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8\/a*a**(-1\/13)\/a)\/(a*a**(-6\/5)\/a*a*(a\/a**5)\/a) assuming a is positive.\nAnswer: a**(723\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 41.9999793. Round w to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 206*h**2 - 5200*h + 5408.\nAnswer: -2*(h - 1)*(h + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -17\/10 (c) -290 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3 + 12. What is the units digit of 132\/g - 3\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50.31898 + -0.3.\nAnswer: 50.01898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/96 + ((-114)\/24 - -3)*(-195)\/(-7).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a68852 - 11?\nAnswer: -1a68863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**4*u + 52151*i**3*u - 19*i**2*u + 335657*i*u - 3*u wrt i.\nAnswer: 36*i**2*u + 312906*i*u - 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -46*p + 2109. What is w(56)?\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*w + 389 - 2171 = 702 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 9, -1, 404.6, -0.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 14*z = 3*p - 237, -2279*z + p = -2276*z - 233 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t + 113. Determine s(-26).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f + f - 1044. What is the tens digit of -2*1 + -1 + 6699\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149749 - 1036*p - 149747 + 299499 + 0*p + 0*p + 2*p + (2 + 0 + 0)*(-3*p - 2*p + 6*p).\nAnswer: -1032*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 4. Suppose -r*o + 5*o = -6. Let j = o - 3. Let s(i) = i**2 + 7*i + 4. Calculate s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46134703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/6)\/(u*u**0) assuming u is positive.\nAnswer: u**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 11:02 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 5*q - 30. Let r be 58\/6 - 10\/q. Suppose -p = 5*u - 3 + r, -14 = -2*p + 3*u. Solve 8*c = p*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 4 + -2 - (-99 - -176)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/528 and -41\/4884?\nAnswer: 19536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 38. Let u(n) = -33*n**2 + a*n**2 + 12*n**2. Let b(y) = y**2 + 17*y. Give b(u(x)).\nAnswer: 4*x**4 - 34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/1071*3*2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17813623 is divided by 55842?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*2\/(126\/(-45))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 18128067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 4, l: 4, f: 2, a: 6, b: 2}. Give prob of picking 1 q and 2 l.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 23 + 5*m - 6*m.\nAnswer: -2*m + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17024)\/(-6396) + (-2)\/6. Let k be (24\/208 + 1)\/((-1)\/(-2)). Let o = i - k. Is -1 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 37, 2, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 313395*w + 313390.\nAnswer: 5*(w - 62678)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-21) + (-1299448)\/(-17304).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z**2 + 11*z + 6. Let t be s(1). Which is the nearest to 2\/7? (a) -0.4 (b) -2 (c) 1\/8 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - s**2 - 3)*(-3*s + 5*s - 3*s) - s**3 + s**3 - 5*s**3 + 6*s**3 - 18*s**3 - 15*s**3 - 6*s**3 + s**3 + 3*s**3.\nAnswer: -33*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(228)*6 - sqrt(228)) + sqrt(228))\/(sqrt(24)\/sqrt(2)*2).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127805*i**3*o + 146*i**3 - 3*i**2*o + 2*i**2 - 60930583*i + o wrt i.\nAnswer: 766830*i*o + 876*i - 6*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -141. Suppose 5*t + u = -95. Let o = t + 74. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1965577364+-0.1411\nAnswer: 1965577363.8589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -3*q + 2*v + 10, -q + 2 = 3*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knw when three letters picked without replacement from {w: 1, n: 2, k: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*2 + (sqrt(7) + 1 + sqrt(7) + 3 - sqrt(7)) + -2)**2.\nAnswer: 52*sqrt(7) + 1187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2.91. Let v = s + -0.09. Suppose -5*f + 15 = 40. What is the second biggest value in 1, v, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*p = -10, 2*g = 4*p - 0*p + 4. Let o(q) = 1 + 9*q + g*q**2 - 3*q**2 - 6 - 1. Calculate the remainder when o(7) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - (-1278)\/4. What is the greatest common divisor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -1 - sqrt(112))*2 - ((-2*sqrt(112) - sqrt(112))*-6 + sqrt(112)))**2 + (-6*-2*sqrt(1008))**2*-2*-6.\nAnswer: 304*sqrt(7) + 1782260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2 + 3*j**2 - 2*j**2 - 1 + j. Let z(q) = 3*q + 4. Suppose -16 = -4*p - 64. Let w = p + 11. Give w*z(u) + 2*x(u).\nAnswer: 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 7) to base 14.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 1. Let y be p(2). What is the third derivative of y*n**3 + 3*n**2 - 4*n**3 - 13*n + 13*n wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uubu when four letters picked without replacement from bubu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 313, 255, 165, 49, -87, -237, -395, -555?\n\"Answer: t**3 - 22*t**2 + t + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 21196400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + z + z. Let l be q(-1). Let x = 15 + -11. Solve 5*v = -k - x + 2, l*k = 2*v - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1552634, 1552635, 1552636, 1552637?\n\"Answer: n + 1552633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27485071\/25 + -1099780. Let y = n - -377. Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -42*l + 42. Let r be s(-5). Suppose 258*w - r*w = 0. Solve w = -3*t + 4*x + 28, -t - 4*x - 12 = -0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s + 63. Let b be t(-9). What is the highest common factor of 51 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26398 * -69.5\nAnswer: -1834661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - 38. Suppose -13098*m + 13094*m + 76 = 0. Let n(h) = -35*h + g*h + m*h. Let o(z) = -z. Give o(n(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 222. Let z be (-14)\/224 + (-15694)\/(-224). Solve 4*u + z = d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 2*w = w + 11, -4*r + 5*w = 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 64. Let v(f) = -f**2. Let u(d) = 2*d**2 - d - 2. Calculate c*u(n) + 2*v(n).\nAnswer: -4*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30367.5 rounded to the nearest 100?\nAnswer: -30400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 8*k + 9. Let u be l(-4). Suppose 7*f = 12 + u. Suppose -f*d + 12500015 = -5*c, c - 5000015 = 3*c - 3*d. Round c to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 26 = -20*a. Put 6, 27, a in descending order.\nAnswer: 27, 6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1359*o + 34. Let k(b) = -183*b - 5. Let n(f) = 15*k(f) + 2*l(f). Determine n(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 10:08 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 22*r**2 - 185.\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*w - 5*w. Is 1\/42 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/3*(2 + (-8 - -3)). Let j = 5 - 0. Solve 0 = -k*w + 2*w + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 1300*t + 84500.\nAnswer: 5*(t + 130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4620 = 2*n + 4*c, -4*n = -5*c - 4584. What are the prime factors of n?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 6*b - 12. What is the units digit of y(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34427?\nAnswer: 173, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 + (-45)\/(-6))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 - -5?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 34.46?\nAnswer: 34.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 613*f + 3679. What is t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -9526, 4 in decreasing order.\nAnswer: 52, 4, -9526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 348, 582, 864, 1200?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*n - 54 = -3*a, -2*n = -a + 7. Let d = 3 + a. Suppose v - 2*l = 9, 2*v - 5*l + 2*l = d. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/11200 and -29\/20.\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**5\/60 + w**4\/4 + w**3\/6 - 5*w**2. Let b be p(5). Let j(n) = 4*n + 6. Let y(v) = v + 1. What is b*y(m) - j(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/938 or -1?\nAnswer: 9\/938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 22 = -5*x, -5*x - 6 + 30 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 2. Let r(t) be the first derivative of -2*t**2 - 3*t + 6. Let x = 145 + -150. Let h = -2 + -2. Determine h*r(p) + x*g(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79237 + 6338869\/80. Is x not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -640 + 400. Let d = o - -222. Which is the closest to -1? (a) 0.2 (b) 1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + t + 20, 0*w - 13 = -2*w + t. Solve w*u = 2*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:57 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 866210 to the power of 1\/2, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 9*f**2 - 6*f + 22. Is 16 a factor of z(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -32\/1341?\nAnswer: -32\/1341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, 56, 170, 342, 572?\n\"Answer: 29*a**2 - 31*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 46. Suppose p = 5*t - 5*s, s - 7 = -3*t - s. Solve 4*b + t*w + 0 + 13 = 0, -5*b - 4*w = 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(4 + -2) - (-78)\/13. Let c(x) be the second derivative of 0 - 5\/14*x**3 + 1\/14*x**g + 6*x - 9\/14*x**2. Factor c(f).\nAnswer: 3*(f - 3)*(2*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**1\/f)\/f))**(-16))**41 assuming f is positive.\nAnswer: f**(-656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6579 - -8760. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(126)*2)\/((sqrt(32)\/sqrt(4))\/sqrt(4)).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -20*r**4 - 4*r**2 + 2. Let i(b) = 20*b**4 + 5*b**2 - b - 3. Let u(g) = -2*i(g) - 3*o(g). Find the third derivative of u(x) wrt x.\nAnswer: 480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(648) + sqrt(648))\/(sqrt(18)\/sqrt(2)*-2) + (2*(sqrt(288) + 2) - sqrt(288)) + -5.\nAnswer: -1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 17 - (20 + -9) - 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9604, -19327, -29144, -39055, -49060?\nAnswer: -59159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2520\/(-98784) + 6\/98?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/154 + (22\/495)\/(-3 - 1508\/(-508))?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**3 - 19 + 2 - 6 + j**2 + 5 in the form n*j**2 + a*j**3 + s*j + g and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44251 + 4?\nAnswer: 44255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*j**4 - 215*j**4 - 2*j + 2*j + 41*j**3 + 7*j**2 - 40*j**3 in the form h + w*j**2 + g*j + d*j**4 + a*j**3 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k + 29*k - 11*k - 9*k + 52*k**2 as s + b*k**2 + x*k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3eb + 12?\nAnswer: 3fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33854455*k**3 - 21323490*k**2?\nAnswer: -203126730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = -229*t + 112*t + 69*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 461*t**4 + t + 3 - t**2 + t**2 - 428*t**4 to z*t + o + c*t**2 + k*t**4 + j*t**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/63)\/8*-27 - (-5 + 0)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542768?\nAnswer: 2, 33923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 440\/77*((-805)\/10)\/23.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169436 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: -302 times -147\nAnswer: 44394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -122 (c) 336 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159806798 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r + 3243 + 15251 - 35*r + 505.\nAnswer: -r + 18999","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 4*s**2 + 3*s - 7. Let g be 28\/(-5) + 69\/115. Let k be i(g). Suppose k*f + 3*f - 54 = 0. Calculate the remainder when 25 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by -3\nAnswer: 106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5*p - 192. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3092, 3, -36 in decreasing order.\nAnswer: 3092, 3, 0.2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*m - 31*m + 65520 = 53366 for m.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5*2*sqrt(1100) + -3) - 2*(sqrt(44) + sqrt(704)*-5)\/((sqrt(16)\/sqrt(2))\/sqrt(2)).\nAnswer: 9 + 338*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.8. Suppose 0 = -0*j + 5*j - 5. Which is the closest to j? (a) -0.1 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (109 + (-4 - -1)). Let q = 66 + d. Let k be (q\/(-13) - 3)*-2. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 14 + 8 + 4*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(2736) + sqrt(2736) + -1)*2 + -5)**2 - 3*((sqrt(2736) + -1)**2 + -4)).\nAnswer: -142504 + 2400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*i - 59 + 296, 5*n = 2*i + 645. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 368927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 4*j - 3*r, 160 = 4*j - 2*r - 0*r. Let d = 38 - j. Solve d = 4*h - 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25906 - 51811\/2. Let u(z) be the first derivative of -8*z + g*z**2 + 4. Determine u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**5\/60 - i**4\/4 + i**2\/2 - 1. Let p(b) be the second derivative of u(b). Determine p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-6)*(-20)\/10. Let y(z) be the first derivative of z**3 - 2*z**2 + 4*z - 5. Let x(o) = 4*o**2 - 5*o + 5. Determine b*y(w) - 4*x(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 646363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 23510000 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 - (-3 - -93)) + 122?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a minute in seconds?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1374.86 - 1349. Let t = j + 0.14. Let h = t + -24. Which is the nearest to -1\/6? (a) -2 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4 - 8 - 2*t + 30*t**3 + t**2 - 29*t**3. Let v = 2 - -1. What is the remainder when a(v) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -21\/4 (b) 4\/3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1451*l + 47195.\nAnswer: 1451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = 9*t - 26575. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (61\/61)\/(1\/(-2)). Does 24 divide 608*(1\/y + 30\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/10161 and -2\/2163?\nAnswer: 7326081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 23, -375, 216 in increasing order.\nAnswer: -375, -9, 23, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198286371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11369, -11366, -11361, -11354, -11345, -11334?\n\"Answer: p**2 - 11370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.078312 and -2.26.\nAnswer: 0.17698512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 11:49 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 + -221?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/2 (c) -6 (d) 11\/3 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Let p be (r + 3)\/1 - 4. Find the third derivative of -3*a**2 - 11*a**p - 5*a**2 + 15*a**2 wrt a.\nAnswer: -264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95697553 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 151*h**5\/20 - 223*h**3\/2 - 18*h**2 + 13. Differentiate r(q) with respect to q.\nAnswer: 906*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/11 and -27\/668.\nAnswer: 7348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1723 + -177468\/103. Put b, -3, 0.4 in descending order.\nAnswer: 0.4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16*r + 33*r - 8*r + 16 - 8*r. Let g be w(-14). Let z = -1.1 + 0.1. Which is the nearest to z? (a) -1\/5 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-12)*4 + -2. Let f be (u\/(-2))\/((-1)\/(-6)). Let j(n) = -2*n**3 - 5*n**2 - 3*n - 4. What is the smallest common multiple of 2 and j(f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1371*z**2 + 5*z. Let k(s) = -s - 53. Give k(t(q)).\nAnswer: 1371*q**2 - 5*q - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/7480 and 7\/816?\nAnswer: 44880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 3*h**2 + 409*h + 22. Give r(-23).\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2330921 to the nearest 10000.\nAnswer: -2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.363513665 + 1.35.\nAnswer: 1.713513665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 (base 12) in base 14?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 plus 4680974562?\nAnswer: 4680974539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 0 (c) -2 (d) -2\/5 (e) 4\/3 (f) 0.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 6*g**2 - 11*g - 14. Let t(w) = 3*w**3 - 11*w**2 + 21*w + 29. Let j(l) = 5*n(l) + 2*t(l). What are the prime factors of j(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21\/50 + -2\/25. Let f be (2 - 1)\/((-2)\/(-4)). Let y be 0\/2 - (f - 1). Is y at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18555986280 to the nearest 100000.\nAnswer: 18556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 483 - 749. Let o = -0.141065002 - 265.858116998. Let j = o - z. What is j rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -172084?\nAnswer: 172088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 346\/865 - (1 + 86\/(-10))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**3\/3 + 6*l - 647. Determine d(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -6. Suppose -y*j - 4*o - 16 = 0, -2*j - 5*o + o - 2 = 0. Suppose 12 = 2*d, -4*w + 2*d = -52 + 72. Is j at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141181.\nAnswer: 141181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 42196 = 7*i. List the prime factors of i.\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*f*y*z**2 - 2*f*y*z - 6*f*z**2 + 8*y*z**2 + 8*z**2 wrt y.\nAnswer: -8*f*z**2 - 2*f*z + 8*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - 16*r**2 + 30*r + 83. Calculate u(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-126))\/((-1)\/3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x. Let w(t) be the second derivative of t**6\/72 - 5*t**3 + t - 21. Let j(d) be the second derivative of w(d). Determine j(z(q)).\nAnswer: 125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 67\/135?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.9 + 34.8998664. Round n to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1772479, 3544957, 5317433, 7089907?\n\"Answer: -r**2 + 1772481*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41162919?\nAnswer: 3, 7, 29, 257, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/(-154) - (2622\/(-3010))\/(-3). Let s = -64 - -65. Is s equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-2 - -19)) + (32 - (2 - 0)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(-2 + 2 + m**2) - 21*m**2 + 5*m**2 - 16*m**2 as q + t*m**2 + v*m and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmtmmttmmmmm. Give prob of sequence mtm.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 810 = -9*q. What is q rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64546625 divided by -516373.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l + 12 - 112 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24126502, -96505970, -217138416, -386023840, -603162242, -868553622?\n\"Answer: -24126489*p**2 - p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k - w + 21, 0 = -2*k - 4*w + 4. Let n = -6 + k. Suppose 0 = -n*l + 14 + 30. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 136*o**2 + 1632*o + 5. Calculate p(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -336, -1336, -3004, -5340?\n\"Answer: -334*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, -5, -18, 68, 4 in ascending order.\nAnswer: -18, -9, -5, -4, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -77166 divided by -4287?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -4, -0.3, 59.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137 - -241. Suppose -w = -i + 233, 3*w = 4*i - q - 325. Let o = w - -341. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*s - 7*s. Suppose -2*k = 5*u - 24, s = 2*k - 3. Suppose -g = w + u*g - 8, 0 = w - g - 38. What is the greatest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -219 - -119. Let q be (2\/(-5))\/(10\/k). Solve 0 = -2*z + 4 + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -853 - 852 - 847 + 10*w + 3392 + 49*w - 842.\nAnswer: 59*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77154.\nAnswer: 2, 3, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17684591.9000034 - 17684562.9. Let i = p - 29. What is i rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30245, 60483, 90721, 120959, 151197?\nAnswer: 181435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/371 (b) 132\/13 (c) -6 (d) 3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77532 + 13392*a - 77530 + 155062.\nAnswer: 13392*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.24 and -861.\nAnswer: 1928.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 10. Let p be k(7). Suppose 20*x - 24*x = -236. What is the tens digit of x + (-3 - (-3 - p))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0*a - a + 5*a - 3*a. Let s(t) = -5*t**2. What is s(f(v))?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57631754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1 (c) -2\/15 (d) -4\/3 (e) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 9:06 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}