question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let t = 75 + -122. Let v = t - -56. Let j(y) = 9 - 3 - 6*y + y**2 - v. Calculate j(7).\n' | b'4\n' | b'Let t = 75 + -122. Let v = t - -56. Let j(y) = 9 - 3 - 6*y + y**2 - v. Calculate j(7).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence zd when two letters picked without replacement from {z: 1, x: 4, d: 2, w: 3, i: 2}.\n' | b'1/66\n' | b'Calculate prob of sequence zd when two letters picked without replacement from {z: 1, x: 4, d: 2, w: 3, i: 2}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let l(k) be the first derivative of -k**3/3 - k**2/2 + k - 16. Give l(-1).\n' | b'1\n' | b'Let l(k) be the first derivative of -k**3/3 - k**2/2 + k - 16. Give l(-1).\n' | b'1\n' | deepmind/math_dataset |
b'What is the third derivative of -13*p + 30*p - 40*p**4 - 2*p**2 - 11*p wrt p?\n' | b'-960*p\n' | b'What is the third derivative of -13*p + 30*p - 40*p**4 - 2*p**2 - 11*p wrt p?\n' | b'-960*p\n' | deepmind/math_dataset |
b'Let a be 4/((26 - 22)/(2 - 0)). Suppose m = a*g - 6, g + 140*m - 145*m - 3 = 0. Solve 0 = 5*p - g*d + 8*d, 4 = 2*p + 4*d for p.\n' | b'-2\n' | b'Let a be 4/((26 - 22)/(2 - 0)). Suppose m = a*g - 6, g + 140*m - 145*m - 3 = 0. Solve 0 = 5*p - g*d + 8*d, 4 = 2*p + 4*d for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 116*y + 331 = -17. Let w(a) = a**3 - 7*a**2 - 30*a - 6. Calculate w(y).\n' | b'-6\n' | b'Suppose 116*y + 331 = -17. Let w(a) = a**3 - 7*a**2 - 30*a - 6. Calculate w(y).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 0 = 2*h - 5*a + 4*a + 6, 3*h + 6 = 3*a. Let i be 2*(h - -2 - 2). Let y be (-12)/(-3)*(-6)/i. Solve 2*v - o - 1 = 0, 2*v + 5 = -y*o - 6 for v.\n' | b'-1\n' | b'Suppose 0 = 2*h - 5*a + 4*a + 6, 3*h + 6 = 3*a. Let i be 2*(h - -2 - 2). Let y be (-12)/(-3)*(-6)/i. Solve 2*v - o - 1 = 0, 2*v + 5 = -y*o - 6 for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((h*h**(-14/5)*h)/((h*((h/(h*h**(1/9)))/h*h)/h)/h)*(h*h*h*h**12)/(h*h/(h/h**(-14))))**(-19/3) assuming h is positive.\n' | b'h**(-24206/135)\n' | b'Simplify ((h*h**(-14/5)*h)/((h*((h/(h*h**(1/9)))/h*h)/h)/h)*(h*h*h*h**12)/(h*h/(h/h**(-14))))**(-19/3) assuming h is positive.\n' | b'h**(-24206/135)\n' | deepmind/math_dataset |
b'What is prob of picking 4 r when four letters picked without replacement from rrlrrrllrr?\n' | b'1/6\n' | b'What is prob of picking 4 r when four letters picked without replacement from rrlrrrllrr?\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose -6 = -3*g, -4*g - 2 = -4*u + 42. Let z(i) = i**2 + 21*i + 11. Let t(x) = -x**2 - 5*x - 1. Let a(b) = 2*t(b) + z(b). Calculate a(u).\n' | b'-17\n' | b'Suppose -6 = -3*g, -4*g - 2 = -4*u + 42. Let z(i) = i**2 + 21*i + 11. Let t(x) = -x**2 - 5*x - 1. Let a(b) = 2*t(b) + z(b). Calculate a(u).\n' | b'-17\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {n: 1, x: 2, z: 1}. Give prob of sequence zxzx.\n' | b'0\n' | b'Four letters picked without replacement from {n: 1, x: 2, z: 1}. Give prob of sequence zxzx.\n' | b'0\n' | deepmind/math_dataset |
b'Let y be 1*3 - (12 + (-12 - -3)). Solve 4*l + 14 = -2*x - y*l, -x - 3 = -2*l for x.\n' | b'-5\n' | b'Let y be 1*3 - (12 + (-12 - -3)). Solve 4*l + 14 = -2*x - y*l, -x - 3 = -2*l for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Let q be 1*10*-1*(-3)/6. Find the third derivative of -43*m**q + 13*m**5 - 8*m**2 + 17*m**5 wrt m.\n' | b'-780*m**2\n' | b'Let q be 1*10*-1*(-3)/6. Find the third derivative of -43*m**q + 13*m**5 - 8*m**2 + 17*m**5 wrt m.\n' | b'-780*m**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 5, q: 1, f: 2, t: 1, v: 1, l: 3}. Give prob of picking 1 x, 1 v, and 1 l.\n' | b'15/286\n' | b'Three letters picked without replacement from {x: 5, q: 1, f: 2, t: 1, v: 1, l: 3}. Give prob of picking 1 x, 1 v, and 1 l.\n' | b'15/286\n' | deepmind/math_dataset |
b'Let l(p) be the second derivative of p**4/4 - 11*p**3/6 + 19*p**2 - 2888*p. Give l(3).\n' | b'32\n' | b'Let l(p) be the second derivative of p**4/4 - 11*p**3/6 + 19*p**2 - 2888*p. Give l(3).\n' | b'32\n' | deepmind/math_dataset |
b'Let n = 16 + -8. Let f(s) = -3 - n*s**2 + 2 + 3*s**2 + s. Calculate f(1).\n' | b'-5\n' | b'Let n = 16 + -8. Let f(s) = -3 - n*s**2 + 2 + 3*s**2 + s. Calculate f(1).\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of picking 1 y and 1 u when two letters picked without replacement from utyll?\n' | b'1/10\n' | b'What is prob of picking 1 y and 1 u when two letters picked without replacement from utyll?\n' | b'1/10\n' | deepmind/math_dataset |
b'Suppose -l - 6 = 2*g + l, 0 = -5*g - 4*l - 17. Let r = g - -7. Solve 3*h + 3*p - 2 = 7, -4 = -r*p for h.\n' | b'1\n' | b'Suppose -l - 6 = 2*g + l, 0 = -5*g - 4*l - 17. Let r = g - -7. Solve 3*h + 3*p - 2 = 7, -4 = -r*p for h.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 3 = 5*y - 2. Let i(n) = -n**3 + y + 2*n**3 - 2*n**3 + 1. Let s be i(0). Solve 22 = -b + 3*j + 2*j, s*j = -4*b + 22 for b.\n' | b'3\n' | b'Suppose 3 = 5*y - 2. Let i(n) = -n**3 + y + 2*n**3 - 2*n**3 + 1. Let s be i(0). Solve 22 = -b + 3*j + 2*j, s*j = -4*b + 22 for b.\n' | b'3\n' | deepmind/math_dataset |
b'What is prob of sequence df when two letters picked without replacement from dkf?\n' | b'1/6\n' | b'What is prob of sequence df when two letters picked without replacement from dkf?\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify n/(n*n*n/n**19)*n**(5/6) assuming n is positive.\n' | b'n**(107/6)\n' | b'Simplify n/(n*n*n/n**19)*n**(5/6) assuming n is positive.\n' | b'n**(107/6)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aahahahhahaha. Give prob of picking 2 a and 1 h.\n' | b'63/143\n' | b'Three letters picked without replacement from aahahahhahaha. Give prob of picking 2 a and 1 h.\n' | b'63/143\n' | deepmind/math_dataset |
b'Let y(m) = m**2 - 5*m + 6. Let p be 5 + (-308)/60 - (-8)/60. Suppose p = 84*z - 95*z + 66. What is y(z)?\n' | b'12\n' | b'Let y(m) = m**2 - 5*m + 6. Let p be 5 + (-308)/60 - (-8)/60. Suppose p = 84*z - 95*z + 66. What is y(z)?\n' | b'12\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 v when two letters picked without replacement from {t: 5, e: 6, v: 2}?\n' | b'2/13\n' | b'What is prob of picking 1 e and 1 v when two letters picked without replacement from {t: 5, e: 6, v: 2}?\n' | b'2/13\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {r: 1, v: 1, c: 2, n: 2, p: 1, d: 1}. Give prob of picking 1 p and 1 c.\n' | b'1/14\n' | b'Two letters picked without replacement from {r: 1, v: 1, c: 2, n: 2, p: 1, d: 1}. Give prob of picking 1 p and 1 c.\n' | b'1/14\n' | deepmind/math_dataset |
b'What is prob of sequence tff when three letters picked without replacement from ccftfppucfcfccutqt?\n' | b'1/136\n' | b'What is prob of sequence tff when three letters picked without replacement from ccftfppucfcfccutqt?\n' | b'1/136\n' | deepmind/math_dataset |
b'What is the first derivative of 2*f + 264*f**4 - 13 - 146 + 27*f**4 + 475*f**4 wrt f?\n' | b'3064*f**3 + 2\n' | b'What is the first derivative of 2*f + 264*f**4 - 13 - 146 + 27*f**4 + 475*f**4 wrt f?\n' | b'3064*f**3 + 2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ncxccynnxyn. Give prob of picking 2 c.\n' | b'3/55\n' | b'Two letters picked without replacement from ncxccynnxyn. Give prob of picking 2 c.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let n(d) = -4*d**5 - 17*d + 6. Let y(a) = -a**5 + 1. Let j(c) = -n(c) + 6*y(c). Find the second derivative of j(l) wrt l.\n' | b'-40*l**3\n' | b'Let n(d) = -4*d**5 - 17*d + 6. Let y(a) = -a**5 + 1. Let j(c) = -n(c) + 6*y(c). Find the second derivative of j(l) wrt l.\n' | b'-40*l**3\n' | deepmind/math_dataset |
b'Simplify z**(-2/41)/(((z*z/(z**(-34)*z*z)*z)/z)/z)*(z**(-3/25))**(1/54) assuming z is positive.\n' | b'z**(-609791/18450)\n' | b'Simplify z**(-2/41)/(((z*z/(z**(-34)*z*z)*z)/z)/z)*(z**(-3/25))**(1/54) assuming z is positive.\n' | b'z**(-609791/18450)\n' | deepmind/math_dataset |
b'Simplify u/(u/(u**(2/25)/u))*u/(u*u**(-29)) assuming u is positive.\n' | b'u**(702/25)\n' | b'Simplify u/(u/(u**(2/25)/u))*u/(u*u**(-29)) assuming u is positive.\n' | b'u**(702/25)\n' | deepmind/math_dataset |
b'Let f(a) = a - 8. Suppose 5*v + m + 27 = -8, 4*m = -20. Let p be v/9 - (-4)/6. What is f(p)?\n' | b'-8\n' | b'Let f(a) = a - 8. Suppose 5*v + m + 27 = -8, 4*m = -20. Let p be v/9 - (-4)/6. What is f(p)?\n' | b'-8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hyjhjrqjlqqy. Give prob of picking 1 h and 1 y.\n' | b'2/33\n' | b'Two letters picked without replacement from hyjhjrqjlqqy. Give prob of picking 1 h and 1 y.\n' | b'2/33\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, w: 1, e: 1, j: 1, x: 1}. Give prob of sequence yx.\n' | b'1/20\n' | b'Two letters picked without replacement from {y: 1, w: 1, e: 1, j: 1, x: 1}. Give prob of sequence yx.\n' | b'1/20\n' | deepmind/math_dataset |
b'Suppose 3*l - 4*m - 24 = 7*l, -4*m = 12. Let j = l + 13. Solve -q = f, 4*q - j = f - 0 for q.\n' | b'2\n' | b'Suppose 3*l - 4*m - 24 = 7*l, -4*m = 12. Let j = l + 13. Solve -q = f, 4*q - j = f - 0 for q.\n' | b'2\n' | deepmind/math_dataset |
b'Let f = 4 + 3. Let k(g) = 5*g + 29. Suppose -14*p + 25 - 95 = 0. Let y be k(p). Solve -2*m + x = 2 - y, m + x - f = 0 for m.\n' | b'3\n' | b'Let f = 4 + 3. Let k(g) = 5*g + 29. Suppose -14*p + 25 - 95 = 0. Let y be k(p). Solve -2*m + x = 2 - y, m + x - f = 0 for m.\n' | b'3\n' | deepmind/math_dataset |
b'Let r = -6 + 8. Suppose -11 = -5*l + 2*s + 7, -r*l = s. Find the second derivative of l - 2 + 3*h + 3*h**4 wrt h.\n' | b'36*h**2\n' | b'Let r = -6 + 8. Suppose -11 = -5*l + 2*s + 7, -r*l = s. Find the second derivative of l - 2 + 3*h + 3*h**4 wrt h.\n' | b'36*h**2\n' | deepmind/math_dataset |
b'Let c be -2*5*(-1)/2. Let w(b) = -316*b + 14856. Let z be w(47). Solve 4*n - m + 16 = -c*m, 3*m + 5 = z*n for n.\n' | b'-1\n' | b'Let c be -2*5*(-1)/2. Let w(b) = -316*b + 14856. Let z be w(47). Solve 4*n - m + 16 = -c*m, 3*m + 5 = z*n for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Let u(v) = -2*v - 5. Suppose -5*r - 30 = -0*r. Let c(s) = -2*s - 1. Let q be c(r). Let i = -16 + q. Calculate u(i).\n' | b'5\n' | b'Let u(v) = -2*v - 5. Suppose -5*r - 30 = -0*r. Let c(s) = -2*s - 1. Let q be c(r). Let i = -16 + q. Calculate u(i).\n' | b'5\n' | deepmind/math_dataset |
b'Let g(z) be the second derivative of -253*z**6/5 + z**5/20 - 4349*z**2/2 + 291*z. Differentiate g(n) wrt n.\n' | b'-6072*n**3 + 3*n**2\n' | b'Let g(z) be the second derivative of -253*z**6/5 + z**5/20 - 4349*z**2/2 + 291*z. Differentiate g(n) wrt n.\n' | b'-6072*n**3 + 3*n**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from jyjcyb?\n' | b'1/15\n' | b'What is prob of picking 2 j when two letters picked without replacement from jyjcyb?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let y(j) = -2*j - 13. Let c be y(-9). Suppose -c*z = -6*z - 6. Let u(q) = q + 7. Give u(z).\n' | b'1\n' | b'Let y(j) = -2*j - 13. Let c be y(-9). Suppose -c*z = -6*z - 6. Let u(q) = q + 7. Give u(z).\n' | b'1\n' | deepmind/math_dataset |
b'Let y(i) = -116*i**2 - 2*i - 2. Let d be y(-1). Let q be d/12*-3 + 3. Solve -28 = p + 3*p + 2*w, -4*p = 3*w + q for p.\n' | b'-5\n' | b'Let y(i) = -116*i**2 - 2*i - 2. Let d be y(-1). Let q be d/12*-3 + 3. Solve -28 = p + 3*p + 2*w, -4*p = 3*w + q for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Let z be 4*((-20)/8 + 2). Suppose -4*j + 18 = 2*s, j + 9 = -s + 5*j. Let h be ((-7)/s)/(z/6). Solve 10 = -5*n, h*n = f + 2*n - 10 for f.\n' | b'0\n' | b'Let z be 4*((-20)/8 + 2). Suppose -4*j + 18 = 2*s, j + 9 = -s + 5*j. Let h be ((-7)/s)/(z/6). Solve 10 = -5*n, h*n = f + 2*n - 10 for f.\n' | b'0\n' | deepmind/math_dataset |
b'Let u = -8236 - -8238. Solve -10 = 5*q + 2*f, u*q = -3*f - 0 - 4 for q.\n' | b'-2\n' | b'Let u = -8236 - -8238. Solve -10 = 5*q + 2*f, u*q = -3*f - 0 - 4 for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 8 = 6*t - 2*t. Suppose s + 9 = 4*s. What is the third derivative of -v**3 + v**s + 2*v**t - v**3 wrt v?\n' | b'-6\n' | b'Suppose 8 = 6*t - 2*t. Suppose s + 9 = 4*s. What is the third derivative of -v**3 + v**s + 2*v**t - v**3 wrt v?\n' | b'-6\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 2 q when three letters picked without replacement from {x: 4, k: 3, n: 2, q: 2, v: 1, f: 2}?\n' | b'1/182\n' | b'What is prob of picking 1 n and 2 q when three letters picked without replacement from {x: 4, k: 3, n: 2, q: 2, v: 1, f: 2}?\n' | b'1/182\n' | deepmind/math_dataset |
b'Let t be 1*((-1)/(2/(-12)))/2. Let z(k) = k**2 - 2*k - 3. Let q be z(4). What is the third derivative of -5*x**5 + 3*x**5 + 4*x**2 + t*x**2 - 8*x**q wrt x?\n' | b'-600*x**2\n' | b'Let t be 1*((-1)/(2/(-12)))/2. Let z(k) = k**2 - 2*k - 3. Let q be z(4). What is the third derivative of -5*x**5 + 3*x**5 + 4*x**2 + t*x**2 - 8*x**q wrt x?\n' | b'-600*x**2\n' | deepmind/math_dataset |
b'Let g(n) be the third derivative of 19*n**7/210 + 5*n**3/3 - 17*n**2. What is the derivative of g(h) wrt h?\n' | b'76*h**3\n' | b'Let g(n) be the third derivative of 19*n**7/210 + 5*n**3/3 - 17*n**2. What is the derivative of g(h) wrt h?\n' | b'76*h**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence idi when three letters picked without replacement from {i: 11, d: 5}.\n' | b'55/336\n' | b'Calculate prob of sequence idi when three letters picked without replacement from {i: 11, d: 5}.\n' | b'55/336\n' | deepmind/math_dataset |
b'Let f(o) be the second derivative of -1/2*o**2 + 0 + 3*o + 0*o**3 - 1/6*o**4. Find the first derivative of f(t) wrt t.\n' | b'-4*t\n' | b'Let f(o) be the second derivative of -1/2*o**2 + 0 + 3*o + 0*o**3 - 1/6*o**4. Find the first derivative of f(t) wrt t.\n' | b'-4*t\n' | deepmind/math_dataset |
b'Let b(j) = -j - 1. Let n be b(-6). Let x = -110 + 118. Suppose -x*i = -3*i + 5*g - 35, 5*g = 20. Solve -i*u - 4 = -t + n, -t = -4*u - 11 for u.\n' | b'-2\n' | b'Let b(j) = -j - 1. Let n be b(-6). Let x = -110 + 118. Suppose -x*i = -3*i + 5*g - 35, 5*g = 20. Solve -i*u - 4 = -t + n, -t = -4*u - 11 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jkffyffly. Give prob of picking 1 y, 1 f, and 2 j.\n' | b'0\n' | b'Four letters picked without replacement from jkffyffly. Give prob of picking 1 y, 1 f, and 2 j.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 u, and 1 r when three letters picked without replacement from umttrrttrrdtmttttrtr.\n' | b'1/19\n' | b'Calculate prob of picking 1 t, 1 u, and 1 r when three letters picked without replacement from umttrrttrrdtmttttrtr.\n' | b'1/19\n' | deepmind/math_dataset |
b'Let x be 2/(-6) - (-4)/(-6). Let b be (1 - 1)*(2 + x). Let p(l) be the third derivative of -l**4/24 + l**3/3 - 2*l**2. Determine p(b).\n' | b'2\n' | b'Let x be 2/(-6) - (-4)/(-6). Let b be (1 - 1)*(2 + x). Let p(l) be the third derivative of -l**4/24 + l**3/3 - 2*l**2. Determine p(b).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((((o*o*o*o*o**(-7)*o*o)/((o/(((((o/o**(2/5))/o)/o)/o)/o))/o))/((o**(1/2)/o)/o**(-3/4)))**(20/3))**28 assuming o is positive.\n' | b'o**(-868)\n' | b'Simplify ((((o*o*o*o*o**(-7)*o*o)/((o/(((((o/o**(2/5))/o)/o)/o)/o))/o))/((o**(1/2)/o)/o**(-3/4)))**(20/3))**28 assuming o is positive.\n' | b'o**(-868)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 1, p: 7}. Give prob of sequence kp.\n' | b'1/8\n' | b'Two letters picked without replacement from {k: 1, p: 7}. Give prob of sequence kp.\n' | b'1/8\n' | deepmind/math_dataset |
b'Simplify ((q*q**(2/5)*q)/q*q)**37/(q**(-2))**(-2/33)*((q**(3/5))**46)**(1/4) assuming q is positive.\n' | b'q**(31541/330)\n' | b'Simplify ((q*q**(2/5)*q)/q*q)**37/(q**(-2))**(-2/33)*((q**(3/5))**46)**(1/4) assuming q is positive.\n' | b'q**(31541/330)\n' | deepmind/math_dataset |
b'What is prob of picking 2 j when two letters picked without replacement from qvjjvqqvffvqfvwwvqqw?\n' | b'1/190\n' | b'What is prob of picking 2 j when two letters picked without replacement from qvjjvqqvffvqfvwwvqqw?\n' | b'1/190\n' | deepmind/math_dataset |
b'What is prob of picking 3 k and 1 n when four letters picked without replacement from nknnknkkkkkkkk?\n' | b'480/1001\n' | b'What is prob of picking 3 k and 1 n when four letters picked without replacement from nknnknkkkkkkkk?\n' | b'480/1001\n' | deepmind/math_dataset |
b'Let q = 35 - 25. Suppose -q*d + 11 + 49 = 0. Let v(s) = -s + 11. Let y be v(d). Solve 3*j - 28 = -y*c, -2*c + 5*j = j - 6 for c.\n' | b'5\n' | b'Let q = 35 - 25. Suppose -q*d + 11 + 49 = 0. Let v(s) = -s + 11. Let y be v(d). Solve 3*j - 28 = -y*c, -2*c + 5*j = j - 6 for c.\n' | b'5\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {s: 2, z: 10}. Give prob of picking 3 z.\n' | b'6/11\n' | b'Three letters picked without replacement from {s: 2, z: 10}. Give prob of picking 3 z.\n' | b'6/11\n' | deepmind/math_dataset |
b'Let f(d) = -4*d**2 + 5*d - 7. Let i(u) = -1 + 5*u + 31*u**2 - 66*u**2 - 4 - 1 + 30*u**2. Let b(q) = -4*f(q) + 3*i(q). Give b(7).\n' | b'24\n' | b'Let f(d) = -4*d**2 + 5*d - 7. Let i(u) = -1 + 5*u + 31*u**2 - 66*u**2 - 4 - 1 + 30*u**2. Let b(q) = -4*f(q) + 3*i(q). Give b(7).\n' | b'24\n' | deepmind/math_dataset |
b'Let j be (2/(-4))/(3/(-24)). Suppose -j*h - 12 = -348. Let l be h/16 - (-1)/(-4). Solve -l*g - u = 2*u + 7, u = -2*g - 3 for g.\n' | b'-2\n' | b'Let j be (2/(-4))/(3/(-24)). Suppose -j*h - 12 = -348. Let l be h/16 - (-1)/(-4). Solve -l*g - u = 2*u + 7, u = -2*g - 3 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -5*a + 4 = -26. Let t = -6 + a. Solve 5*z = 5*y - t*z - 10, -5*z = -3*y + 12 for y.\n' | b'-1\n' | b'Suppose -5*a + 4 = -26. Let t = -6 + a. Solve 5*z = 5*y - t*z - 10, -5*z = -3*y + 12 for y.\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 x when two letters picked without replacement from {w: 1, c: 1, x: 3}?\n' | b'3/10\n' | b'What is prob of picking 1 c and 1 x when two letters picked without replacement from {w: 1, c: 1, x: 3}?\n' | b'3/10\n' | deepmind/math_dataset |
b'Let y(s) = -s**2 + 0 + 5*s - 12*s + 0. Let p be -1 + (-174)/(-6) - (-1 - 1). Let i be (185/p - 6) + (-31)/6. Give y(i).\n' | b'10\n' | b'Let y(s) = -s**2 + 0 + 5*s - 12*s + 0. Let p be -1 + (-174)/(-6) - (-1 - 1). Let i be (185/p - 6) + (-31)/6. Give y(i).\n' | b'10\n' | deepmind/math_dataset |
b'Let u be 54/10 - (-2)/(-5). Let n = -991 - -1018. Find the first derivative of -n*h**3 - u*h**3 + 66 - 34 wrt h.\n' | b'-96*h**2\n' | b'Let u be 54/10 - (-2)/(-5). Let n = -991 - -1018. Find the first derivative of -n*h**3 - u*h**3 + 66 - 34 wrt h.\n' | b'-96*h**2\n' | deepmind/math_dataset |
b'What is the second derivative of -8*m - 79*m + 7*m**3 - m**2 - 3*m**2 + 42*m wrt m?\n' | b'42*m - 8\n' | b'What is the second derivative of -8*m - 79*m + 7*m**3 - m**2 - 3*m**2 + 42*m wrt m?\n' | b'42*m - 8\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 4, h: 3, s: 1}. Give prob of picking 1 s and 3 h.\n' | b'1/70\n' | b'Four letters picked without replacement from {x: 4, h: 3, s: 1}. Give prob of picking 1 s and 3 h.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let g(m) = -m + 1. Let t(i) = -i + 2. Suppose -2*f - 4*o - 8 = -0*f, -4*f - 7 = 5*o. Let x(c) = f*t(c) - 3*g(c). Differentiate x(s) wrt s.\n' | b'1\n' | b'Let g(m) = -m + 1. Let t(i) = -i + 2. Suppose -2*f - 4*o - 8 = -0*f, -4*f - 7 = 5*o. Let x(c) = f*t(c) - 3*g(c). Differentiate x(s) wrt s.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence il when two letters picked without replacement from ldrddrdririddrird.\n' | b'3/272\n' | b'Calculate prob of sequence il when two letters picked without replacement from ldrddrdririddrird.\n' | b'3/272\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ixshhwwll. Give prob of picking 1 w, 2 l, and 1 x.\n' | b'1/63\n' | b'Four letters picked without replacement from ixshhwwll. Give prob of picking 1 w, 2 l, and 1 x.\n' | b'1/63\n' | deepmind/math_dataset |
b'Simplify ((p**(-5/6)*p)**(-1)/((p*p**(-3/10))/p**(-14)))**(-5/17) assuming p is positive.\n' | b'p**(223/51)\n' | b'Simplify ((p**(-5/6)*p)**(-1)/((p*p**(-3/10))/p**(-14)))**(-5/17) assuming p is positive.\n' | b'p**(223/51)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from sssassqsaassqasssq. What is prob of sequence sqa?\n' | b'11/408\n' | b'Three letters picked without replacement from sssassqsaassqasssq. What is prob of sequence sqa?\n' | b'11/408\n' | deepmind/math_dataset |
b'Let w(z) be the second derivative of 5/3*z**3 + 0 + 0*z**2 + 2/5*z**5 - 3*z + 0*z**4. What is the second derivative of w(x) wrt x?\n' | b'48*x\n' | b'Let w(z) be the second derivative of 5/3*z**3 + 0 + 0*z**2 + 2/5*z**5 - 3*z + 0*z**4. What is the second derivative of w(x) wrt x?\n' | b'48*x\n' | deepmind/math_dataset |
b'What is prob of sequence dv when two letters picked without replacement from zdjzzzsesvdevd?\n' | b'3/91\n' | b'What is prob of sequence dv when two letters picked without replacement from zdjzzzsesvdevd?\n' | b'3/91\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 q when three letters picked without replacement from qqqqgqqggggqgqggqgg.\n' | b'28/323\n' | b'Calculate prob of picking 3 q when three letters picked without replacement from qqqqgqqggggqgqggqgg.\n' | b'28/323\n' | deepmind/math_dataset |
b'Simplify (w*w**(4/3)*w)**(-32) assuming w is positive.\n' | b'w**(-320/3)\n' | b'Simplify (w*w**(4/3)*w)**(-32) assuming w is positive.\n' | b'w**(-320/3)\n' | deepmind/math_dataset |
b'Suppose -5*c = -88*y + 84*y - 15, 4*y = 2*c - 6. Solve c*d + 8 = r, 7*d - 28 = 9*d + 5*r for d.\n' | b'-4\n' | b'Suppose -5*c = -88*y + 84*y - 15, 4*y = 2*c - 6. Solve c*d + 8 = r, 7*d - 28 = 9*d + 5*r for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r be -1 - 8 - -7 - 8. Let z be (5/(-10))/(3 + 31/r). Solve 2*d + 4*m - z + 19 = 0, -3*d - 5*m - 20 = 0 for d.\n' | b'-5\n' | b'Let r be -1 - 8 - -7 - 8. Let z be (5/(-10))/(3 + 31/r). Solve 2*d + 4*m - z + 19 = 0, -3*d - 5*m - 20 = 0 for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let f(l) = 2*l**2 - 2*l + 1. Let j be 15/(-20) - (-10)/(-8). Let a(q) = -q**2 - 4*q - 3. Let s be a(j). Calculate f(s).\n' | b'1\n' | b'Let f(l) = 2*l**2 - 2*l + 1. Let j be 15/(-20) - (-10)/(-8). Let a(q) = -q**2 - 4*q - 3. Let s be a(j). Calculate f(s).\n' | b'1\n' | deepmind/math_dataset |
b'Let s(h) = -30 - 27*h**3 - 19*h**3 - h**2 + 36*h + 9*h**2 - 13*h**3 + 58*h**3. Give s(11).\n' | b'3\n' | b'Let s(h) = -30 - 27*h**3 - 19*h**3 - h**2 + 36*h + 9*h**2 - 13*h**3 + 58*h**3. Give s(11).\n' | b'3\n' | deepmind/math_dataset |
b'Let v(j) = j**3 + 6*j**2 - 7*j + 3. Let u be v(-7). Suppose 0 = -4*p - c - c + 10, -9 = -u*p - 3*c. Let g(m) = 1 - p*m + m - 3. What is g(-6)?\n' | b'4\n' | b'Let v(j) = j**3 + 6*j**2 - 7*j + 3. Let u be v(-7). Suppose 0 = -4*p - c - c + 10, -9 = -u*p - 3*c. Let g(m) = 1 - p*m + m - 3. What is g(-6)?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((m*m**4*m)/((m/m**(1/2))/m)*(m*m*m**3*m*m)/((m/(m*m**(-2/31)/m))/m))**(2/31) assuming m is positive.\n' | b'm**(833/961)\n' | b'Simplify ((m*m**4*m)/((m/m**(1/2))/m)*(m*m*m**3*m*m)/((m/(m*m**(-2/31)/m))/m))**(2/31) assuming m is positive.\n' | b'm**(833/961)\n' | deepmind/math_dataset |
b'What is prob of picking 3 i when three letters picked without replacement from iiddhdidiii?\n' | b'4/33\n' | b'What is prob of picking 3 i when three letters picked without replacement from iiddhdidiii?\n' | b'4/33\n' | deepmind/math_dataset |
b'Let m(w) = w**3 + 9*w**2 - w - 1. Suppose -4*o + 5*q = -267, -5*q = -3*o - 2*q + 198. Suppose -17*u - 216 = -o. Determine m(u).\n' | b'8\n' | b'Let m(w) = w**3 + 9*w**2 - w - 1. Suppose -4*o + 5*q = -267, -5*q = -3*o - 2*q + 198. Suppose -17*u - 216 = -o. Determine m(u).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (o**10/o**(-1/23))/(o**(4/11)/o*o/(o*o**(-41)*o)) assuming o is positive.\n' | b'o**(-7418/253)\n' | b'Simplify (o**10/o**(-1/23))/(o**(4/11)/o*o/(o*o**(-41)*o)) assuming o is positive.\n' | b'o**(-7418/253)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vkvvhhvkveketvvvkek. Give prob of sequence kt.\n' | b'5/342\n' | b'Two letters picked without replacement from vkvvhhvkveketvvvkek. Give prob of sequence kt.\n' | b'5/342\n' | deepmind/math_dataset |
b'Suppose 3*i + 71 = 2*k, -3*k + i = -57 - 32. Solve -o = -4*u + o + 28, 4*u - 4*o = k for u.\n' | b'7\n' | b'Suppose 3*i + 71 = 2*k, -3*k + i = -57 - 32. Solve -o = -4*u + o + 28, 4*u - 4*o = k for u.\n' | b'7\n' | deepmind/math_dataset |
b'Simplify d/(d/(d/(d/d**(-20))*d))*d**(-8/11) assuming d is positive.\n' | b'd**(-217/11)\n' | b'Simplify d/(d/(d/(d/d**(-20))*d))*d**(-8/11) assuming d is positive.\n' | b'd**(-217/11)\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 1 f when two letters picked without replacement from hfffffffhfffzhf?\n' | b'11/105\n' | b'What is prob of picking 1 z and 1 f when two letters picked without replacement from hfffffffhfffzhf?\n' | b'11/105\n' | deepmind/math_dataset |
b'Let f = -47 + 72. Let c be (42/70)/(-2 + 51/f). Solve -8 = 4*y, c = s + y - 6*y for s.\n' | b'5\n' | b'Let f = -47 + 72. Let c be (42/70)/(-2 + 51/f). Solve -8 = 4*y, c = s + y - 6*y for s.\n' | b'5\n' | deepmind/math_dataset |
b'Let o = -328 + 327. Suppose -2*x - 28 = -9*x. Let m(g) = -10*g + x*g + 4*g. What is m(o)?\n' | b'2\n' | b'Let o = -328 + 327. Suppose -2*x - 28 = -9*x. Let m(g) = -10*g + x*g + 4*g. What is m(o)?\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {l: 5, h: 2, w: 4, j: 8}. Give prob of picking 2 w and 2 j.\n' | b'14/323\n' | b'Four letters picked without replacement from {l: 5, h: 2, w: 4, j: 8}. Give prob of picking 2 w and 2 j.\n' | b'14/323\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 2 e when three letters picked without replacement from {e: 4, q: 5, c: 1, y: 4, z: 5}?\n' | b'10/323\n' | b'What is prob of picking 1 q and 2 e when three letters picked without replacement from {e: 4, q: 5, c: 1, y: 4, z: 5}?\n' | b'10/323\n' | deepmind/math_dataset |
b'Let w(a) = -a - 2. Let y be w(-7). Solve p + 3 - 1 = f, 10 = 3*p + y*f for p.\n' | b'0\n' | b'Let w(a) = -a - 2. Let y be w(-7). Solve p + 3 - 1 = f, 10 = 3*p + y*f for p.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -3*q + 2133 = 2*u, 3*u - 2*q - 3191 = 2*q. What is the third derivative of 2*k**2 - 3*k**2 - 3 - u*k**4 + 3*k**3 + 1056*k**4 wrt k?\n' | b'-216*k + 18\n' | b'Suppose -3*q + 2133 = 2*u, 3*u - 2*q - 3191 = 2*q. What is the third derivative of 2*k**2 - 3*k**2 - 3 - u*k**4 + 3*k**3 + 1056*k**4 wrt k?\n' | b'-216*k + 18\n' | deepmind/math_dataset |
b'Simplify i/i**(-16/7)*i*i/(i/(i*i*(i/(i**(-13)*i))/i)) assuming i is positive.\n' | b'i**(128/7)\n' | b'Simplify i/i**(-16/7)*i*i/(i/(i*i*(i/(i**(-13)*i))/i)) assuming i is positive.\n' | b'i**(128/7)\n' | deepmind/math_dataset |
b'Let y = 0 + -2. Let d(p) = -p. Let k be d(y). Solve 0*f - 5*h = 5*f + 5, -h = k*f + 1 for f.\n' | b'0\n' | b'Let y = 0 + -2. Let d(p) = -p. Let k be d(y). Solve 0*f - 5*h = 5*f + 5, -h = k*f + 1 for f.\n' | b'0\n' | deepmind/math_dataset |
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