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 s = -44 - -45. Let l(d) = 12*d + 1. Let y be l(s). Differentiate 17*k**2 + 9*k + y - 9*k wrt k.\n' | b'34*k\n' | b'Let s = -44 - -45. Let l(d) = 12*d + 1. Let y be l(s). Differentiate 17*k**2 + 9*k + y - 9*k wrt k.\n' | b'34*k\n' | deepmind/math_dataset |
b'Suppose 16 = 168*s - 166*s. Suppose 11*n - 6 = s*n. Solve -3*c - n*x + 0*x = 9, 0 = 2*c - 2*x + 6 for c.\n' | b'-3\n' | b'Suppose 16 = 168*s - 166*s. Suppose 11*n - 6 = s*n. Solve -3*c - n*x + 0*x = 9, 0 = 2*c - 2*x + 6 for c.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lbbfmffmffflbr. Give prob of sequence blrf.\n' | b'3/2002\n' | b'Four letters picked without replacement from lbbfmffmffflbr. Give prob of sequence blrf.\n' | b'3/2002\n' | deepmind/math_dataset |
b'Find the second derivative of 4*w**3 - 8*w**3 + 8*w - 6*w**3 - 20*w wrt w.\n' | b'-60*w\n' | b'Find the second derivative of 4*w**3 - 8*w**3 + 8*w - 6*w**3 - 20*w wrt w.\n' | b'-60*w\n' | deepmind/math_dataset |
b'Suppose -5*i + 5*u = 0, 4*i + 4*u = 16 + 8. Solve -i*o - 5*b + 6 = 0, o + 2*b - 2 = b for o.\n' | b'2\n' | b'Suppose -5*i + 5*u = 0, 4*i + 4*u = 16 + 8. Solve -i*o - 5*b + 6 = 0, o + 2*b - 2 = b for o.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -3*p = -3, t - 17*p - 8 = -21*p. Solve -4*u + t*k = -20 - 8, -u - k + 1 = 0 for u.\n' | b'4\n' | b'Suppose -3*p = -3, t - 17*p - 8 = -21*p. Solve -4*u + t*k = -20 - 8, -u - k + 1 = 0 for u.\n' | b'4\n' | deepmind/math_dataset |
b'Let f(v) = -v**4 - 4*v**2 - 3*v + 10. Let w(p) = 3*p**2 + 4*p - 11. Let n(q) = -3*f(q) - 4*w(q). What is the first derivative of n(d) wrt d?\n' | b'12*d**3 - 7\n' | b'Let f(v) = -v**4 - 4*v**2 - 3*v + 10. Let w(p) = 3*p**2 + 4*p - 11. Let n(q) = -3*f(q) - 4*w(q). What is the first derivative of n(d) wrt d?\n' | b'12*d**3 - 7\n' | deepmind/math_dataset |
b'Suppose -31 - 39 = -5*g. Suppose -4 + g = 2*f. Solve -j = -1, -f*h + 6*j = j + 15 for h.\n' | b'-2\n' | b'Suppose -31 - 39 = -5*g. Suppose -4 + g = 2*f. Solve -j = -1, -f*h + 6*j = j + 15 for h.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 2 p when three letters picked without replacement from {p: 12, a: 7}?\n' | b'154/323\n' | b'What is prob of picking 1 a and 2 p when three letters picked without replacement from {p: 12, a: 7}?\n' | b'154/323\n' | deepmind/math_dataset |
b'Find the third derivative of -2007*l - 5544*l**2 - 1170*l**3 + 567*l + 5543*l**2 wrt l.\n' | b'-7020\n' | b'Find the third derivative of -2007*l - 5544*l**2 - 1170*l**3 + 567*l + 5543*l**2 wrt l.\n' | b'-7020\n' | deepmind/math_dataset |
b'Let k be (-61)/(-9) + (-4)/(-18). Suppose -b = 2*m - k, 5 = -b + 4. Find the third derivative of -4*i**2 - 10*i**2 + 4*i**m + i**4 wrt i.\n' | b'120*i\n' | b'Let k be (-61)/(-9) + (-4)/(-18). Suppose -b = 2*m - k, 5 = -b + 4. Find the third derivative of -4*i**2 - 10*i**2 + 4*i**m + i**4 wrt i.\n' | b'120*i\n' | deepmind/math_dataset |
b'Let k be 9/(27/(-2))*3. Let g be (-42)/(-12)*(-4)/k. Let w(o) be the first derivative of o**2/2 - 12*o - 10. Give w(g).\n' | b'-5\n' | b'Let k be 9/(27/(-2))*3. Let g be (-42)/(-12)*(-4)/k. Let w(o) be the first derivative of o**2/2 - 12*o - 10. Give w(g).\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 0 = -5*n - 0*n + 10. What is the second derivative of l**n - 4*l**2 + 9*l - 11*l wrt l?\n' | b'-6\n' | b'Suppose 0 = -5*n - 0*n + 10. What is the second derivative of l**n - 4*l**2 + 9*l - 11*l wrt l?\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((b**(-1/3)*((((b*b/b**(-2))/b)/b)/b)/b)/(b*(((b/(b*b**1))/b)/b)/b)**22)**(-7/9))**25 assuming b is positive.\n' | b'b**(-34475/27)\n' | b'Simplify (((b**(-1/3)*((((b*b/b**(-2))/b)/b)/b)/b)/(b*(((b/(b*b**1))/b)/b)/b)**22)**(-7/9))**25 assuming b is positive.\n' | b'b**(-34475/27)\n' | deepmind/math_dataset |
b'Let y = -12 + 17. Suppose -y*k + 11 = -14. What is the second derivative of h + 13*h**k - 19*h**5 - h + h wrt h?\n' | b'-120*h**3\n' | b'Let y = -12 + 17. Suppose -y*k + 11 = -14. What is the second derivative of h + 13*h**k - 19*h**5 - h + h wrt h?\n' | b'-120*h**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence jxx when three letters picked without replacement from {r: 3, x: 3, i: 1, j: 1, h: 3}.\n' | b'1/165\n' | b'Calculate prob of sequence jxx when three letters picked without replacement from {r: 3, x: 3, i: 1, j: 1, h: 3}.\n' | b'1/165\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 c and 2 v when four letters picked without replacement from {c: 7, v: 4, z: 4}.\n' | b'6/65\n' | b'Calculate prob of picking 2 c and 2 v when four letters picked without replacement from {c: 7, v: 4, z: 4}.\n' | b'6/65\n' | deepmind/math_dataset |
b'Simplify (q**(-1))**(-1/13)/(q**(-2/5))**(-41) assuming q is positive.\n' | b'q**(-1061/65)\n' | b'Simplify (q**(-1))**(-1/13)/(q**(-2/5))**(-41) assuming q is positive.\n' | b'q**(-1061/65)\n' | deepmind/math_dataset |
b'Let o(a) = 4*a**4 + 2*a**2 - 2*a + 2. Let j(n) = n**4 + n**2 + 1. Let w(g) = 2*j(g) - o(g). Find the second derivative of w(p) wrt p.\n' | b'-24*p**2\n' | b'Let o(a) = 4*a**4 + 2*a**2 - 2*a + 2. Let j(n) = n**4 + n**2 + 1. Let w(g) = 2*j(g) - o(g). Find the second derivative of w(p) wrt p.\n' | b'-24*p**2\n' | deepmind/math_dataset |
b'Let g(y) = 4*y**2 - y. Let f(k) = k**3 + 2*k - 2. Let n be f(1). Determine g(n).\n' | b'3\n' | b'Let g(y) = 4*y**2 - y. Let f(k) = k**3 + 2*k - 2. Let n be f(1). Determine g(n).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of sequence pw when two letters picked without replacement from {w: 3, p: 8}.\n' | b'12/55\n' | b'Calculate prob of sequence pw when two letters picked without replacement from {w: 3, p: 8}.\n' | b'12/55\n' | deepmind/math_dataset |
b'Suppose -12*q - 4*f = -15*q + 23, 2*f - 6 = -2*q. Suppose 3 = 5*b - 22. What is the second derivative of -4*t**q + 2*t**5 + 2*t + 4*t**b + 6*t wrt t?\n' | b'40*t**3\n' | b'Suppose -12*q - 4*f = -15*q + 23, 2*f - 6 = -2*q. Suppose 3 = 5*b - 22. What is the second derivative of -4*t**q + 2*t**5 + 2*t + 4*t**b + 6*t wrt t?\n' | b'40*t**3\n' | deepmind/math_dataset |
b'Suppose 2*n + 621*x - 620*x - 12 = 0, 5*n = 5*x. Solve -4*y - n*s = -20, 15*y - 17*y + 1 = -s for y.\n' | b'2\n' | b'Suppose 2*n + 621*x - 620*x - 12 = 0, 5*n = 5*x. Solve -4*y - n*s = -20, 15*y - 17*y + 1 = -s for y.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (q**15/q**(-2/3))/(q**(3/2))**(-46) assuming q is positive.\n' | b'q**(254/3)\n' | b'Simplify (q**15/q**(-2/3))/(q**(3/2))**(-46) assuming q is positive.\n' | b'q**(254/3)\n' | deepmind/math_dataset |
b'Suppose 10 = 2*h + 4. Solve -2 = 2*p + 3*x, 5*p - h*x - 20 = 2*x for p.\n' | b'2\n' | b'Suppose 10 = 2*h + 4. Solve -2 = 2*p + 3*x, 5*p - h*x - 20 = 2*x for p.\n' | b'2\n' | deepmind/math_dataset |
b'Suppose -2*z = -5 + 5. Suppose z = -3*x + 30 - 3. Solve -g = 2*g - x, 3*c + 12 = 2*g for c.\n' | b'-2\n' | b'Suppose -2*z = -5 + 5. Suppose z = -3*x + 30 - 3. Solve -g = 2*g - x, 3*c + 12 = 2*g for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -10*b + 5*b. Let j be (1 - 1) + (-14)/(-7). Find the second derivative of -h**j + 2*h + b*h**2 + 0*h**2 wrt h.\n' | b'-2\n' | b'Suppose 0 = -10*b + 5*b. Let j be (1 - 1) + (-14)/(-7). Find the second derivative of -h**j + 2*h + b*h**2 + 0*h**2 wrt h.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 3 t and 1 e when four letters picked without replacement from {t: 11, e: 1}?\n' | b'1/3\n' | b'What is prob of picking 3 t and 1 e when four letters picked without replacement from {t: 11, e: 1}?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let u(m) = m - 2. Suppose 4*z - 18 = 2. Give u(z).\n' | b'3\n' | b'Let u(m) = m - 2. Suppose 4*z - 18 = 2. Give u(z).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {y: 4, h: 7, u: 5}.\n' | b'3/26\n' | b'Calculate prob of picking 2 h and 2 u when four letters picked without replacement from {y: 4, h: 7, u: 5}.\n' | b'3/26\n' | deepmind/math_dataset |
b'Simplify (n**(-15)*n*n)**(-46) assuming n is positive.\n' | b'n**598\n' | b'Simplify (n**(-15)*n*n)**(-46) assuming n is positive.\n' | b'n**598\n' | deepmind/math_dataset |
b'Let f = -34 - -29. Let d(v) = -v**2 - 6*v. Let r be d(f). Solve -3*m + 5 = -t - 2, r*t = -3*m + 1 for m.\n' | b'2\n' | b'Let f = -34 - -29. Let d(v) = -v**2 - 6*v. Let r be d(f). Solve -3*m + 5 = -t - 2, r*t = -3*m + 1 for m.\n' | b'2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iitiittittivitmmtii. What is prob of sequence vmii?\n' | b'1/646\n' | b'Four letters picked without replacement from iitiittittivitmmtii. What is prob of sequence vmii?\n' | b'1/646\n' | deepmind/math_dataset |
b'Let t be (104/28 - 2)*(-7)/(-2). Suppose -2*m + n = -13, n = -2*m - 3*n - 2. Let j(z) = t - m + 2*z + z. What is j(2)?\n' | b'7\n' | b'Let t be (104/28 - 2)*(-7)/(-2). Suppose -2*m + n = -13, n = -2*m - 3*n - 2. Let j(z) = t - m + 2*z + z. What is j(2)?\n' | b'7\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ipipippiipiipp. What is prob of picking 2 i and 2 p?\n' | b'63/143\n' | b'Four letters picked without replacement from ipipippiipiipp. What is prob of picking 2 i and 2 p?\n' | b'63/143\n' | deepmind/math_dataset |
b'Suppose -4*k + 81 = -k. Suppose k - 28 = -o. Let b be 0 - (o/(-4) - 5/(-20)). Solve h - m - 1 + 4 = b, m - 15 = 5*h for h.\n' | b'-3\n' | b'Suppose -4*k + 81 = -k. Suppose k - 28 = -o. Let b be 0 - (o/(-4) - 5/(-20)). Solve h - m - 1 + 4 = b, m - 15 = 5*h for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Let p(v) be the first derivative of -v**3/3 + 3*v**2/2 + 3*v + 10. What is p(5)?\n' | b'-7\n' | b'Let p(v) be the first derivative of -v**3/3 + 3*v**2/2 + 3*v + 10. What is p(5)?\n' | b'-7\n' | deepmind/math_dataset |
b'What is prob of sequence uu when two letters picked without replacement from {j: 5, u: 2}?\n' | b'1/21\n' | b'What is prob of sequence uu when two letters picked without replacement from {j: 5, u: 2}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let f = 54 - 7. Suppose 3*j = -x + 23, 4*x - j - f = -4*j. Let a be -3 + (-4)/(x/(-26)). Solve -2*q = -5*u + a, -2*u + 3*q + 4 = q for u.\n' | b'2\n' | b'Let f = 54 - 7. Suppose 3*j = -x + 23, 4*x - j - f = -4*j. Let a be -3 + (-4)/(x/(-26)). Solve -2*q = -5*u + a, -2*u + 3*q + 4 = q for u.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify (((((f*f**(2/5))/f)/(f/(f*f/(f**0*f)*f)*f))/(f/f**(-1/4)*f**(-2/9)*f))**17)**(-7) assuming f is positive.\n' | b'f**(34867/180)\n' | b'Simplify (((((f*f**(2/5))/f)/(f/(f*f/(f**0*f)*f)*f))/(f/f**(-1/4)*f**(-2/9)*f))**17)**(-7) assuming f is positive.\n' | b'f**(34867/180)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 q when two letters picked without replacement from {e: 1, m: 1, q: 2}.\n' | b'1/6\n' | b'Calculate prob of picking 2 q when two letters picked without replacement from {e: 1, m: 1, q: 2}.\n' | b'1/6\n' | deepmind/math_dataset |
b'What is prob of sequence wldw when four letters picked without replacement from {d: 1, a: 3, l: 2, x: 2, w: 6, n: 5}?\n' | b'5/7752\n' | b'What is prob of sequence wldw when four letters picked without replacement from {d: 1, a: 3, l: 2, x: 2, w: 6, n: 5}?\n' | b'5/7752\n' | deepmind/math_dataset |
b'Let p(o) = -o**2 + 8*o - 8. Let t(j) = -4*j - 2. Let g be t(2). Let b = g - -16. Let q be p(b). Solve q*i + 0*l + 17 = -l, -11 = -3*i + 4*l for i.\n' | b'-3\n' | b'Let p(o) = -o**2 + 8*o - 8. Let t(j) = -4*j - 2. Let g be t(2). Let b = g - -16. Let q be p(b). Solve q*i + 0*l + 17 = -l, -11 = -3*i + 4*l for i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let w be ((-9)/4)/(10/(-40)). Let m = 11 - w. Suppose 3*y + m*y = 50. Solve -5*k = -y*k, -5*k = 4*z for z.\n' | b'0\n' | b'Let w be ((-9)/4)/(10/(-40)). Let m = 11 - w. Suppose 3*y + m*y = 50. Solve -5*k = -y*k, -5*k = 4*z for z.\n' | b'0\n' | deepmind/math_dataset |
b'Let k(w) be the first derivative of -w**3/3 - 7*w**2/2 - 5*w + 4. Suppose 1981*s - 1961*s = -100. Calculate k(s).\n' | b'5\n' | b'Let k(w) be the first derivative of -w**3/3 - 7*w**2/2 - 5*w + 4. Suppose 1981*s - 1961*s = -100. Calculate k(s).\n' | b'5\n' | deepmind/math_dataset |
b'Simplify x**(-17)*x**(2/63) assuming x is positive.\n' | b'x**(-1069/63)\n' | b'Simplify x**(-17)*x**(2/63) assuming x is positive.\n' | b'x**(-1069/63)\n' | deepmind/math_dataset |
b'Simplify i/(i/i**(3/22))*i/(i/((i*i*i/i**(-1/10))/i*i)) assuming i is positive.\n' | b'i**(178/55)\n' | b'Simplify i/(i/i**(3/22))*i/(i/((i*i*i/i**(-1/10))/i*i)) assuming i is positive.\n' | b'i**(178/55)\n' | deepmind/math_dataset |
b'What is prob of sequence llw when three letters picked without replacement from {l: 3, w: 1}?\n' | b'1/4\n' | b'What is prob of sequence llw when three letters picked without replacement from {l: 3, w: 1}?\n' | b'1/4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 4, z: 9, e: 3, h: 2}. Give prob of sequence ez.\n' | b'3/34\n' | b'Two letters picked without replacement from {a: 4, z: 9, e: 3, h: 2}. Give prob of sequence ez.\n' | b'3/34\n' | deepmind/math_dataset |
b'Simplify k/(k**6*k)*k*k/k**(1/7)*k*(k/k**1)**(4/9) assuming k is positive.\n' | b'k**(-22/7)\n' | b'Simplify k/(k**6*k)*k*k/k**(1/7)*k*(k/k**1)**(4/9) assuming k is positive.\n' | b'k**(-22/7)\n' | deepmind/math_dataset |
b'Let f(c) = -19*c + 23. Let o(y) = -19*y + 22. Let a(z) = 5*f(z) - 6*o(z). Find the first derivative of a(k) wrt k.\n' | b'19\n' | b'Let f(c) = -19*c + 23. Let o(y) = -19*y + 22. Let a(z) = 5*f(z) - 6*o(z). Find the first derivative of a(k) wrt k.\n' | b'19\n' | deepmind/math_dataset |
b'Let x(q) = 2329*q**4 + 16*q**2 + 4*q + 3731. Let d(n) = n**4 + 4*n**2 + n. Let m(o) = 4*d(o) - x(o). What is the first derivative of m(i) wrt i?\n' | b'-9300*i**3\n' | b'Let x(q) = 2329*q**4 + 16*q**2 + 4*q + 3731. Let d(n) = n**4 + 4*n**2 + n. Let m(o) = 4*d(o) - x(o). What is the first derivative of m(i) wrt i?\n' | b'-9300*i**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 3, i: 5, o: 6, c: 1}. What is prob of picking 4 o?\n' | b'1/91\n' | b'Four letters picked without replacement from {p: 3, i: 5, o: 6, c: 1}. What is prob of picking 4 o?\n' | b'1/91\n' | deepmind/math_dataset |
b'Simplify ((r*r**(4/7)*r*r)/r*r/(r*r**24)*r**(-5)*r*r**25*r)**(6/31) assuming r is positive.\n' | b'r**(24/217)\n' | b'Simplify ((r*r**(4/7)*r*r)/r*r/(r*r**24)*r**(-5)*r*r**25*r)**(6/31) assuming r is positive.\n' | b'r**(24/217)\n' | deepmind/math_dataset |
b'What is prob of sequence aaaa when four letters picked without replacement from {h: 6, a: 4, e: 9}?\n' | b'1/3876\n' | b'What is prob of sequence aaaa when four letters picked without replacement from {h: 6, a: 4, e: 9}?\n' | b'1/3876\n' | deepmind/math_dataset |
b'What is prob of picking 1 r, 1 v, and 1 k when three letters picked without replacement from bzkzbbbvbzvzzrboo?\n' | b'1/340\n' | b'What is prob of picking 1 r, 1 v, and 1 k when three letters picked without replacement from bzkzbbbvbzvzzrboo?\n' | b'1/340\n' | deepmind/math_dataset |
b'Let r(f) be the third derivative of -f**6/120 - 2*f**5/15 - f**4/12 - 7*f**3/3 + 2407*f**2. What is r(-8)?\n' | b'2\n' | b'Let r(f) be the third derivative of -f**6/120 - 2*f**5/15 - f**4/12 - 7*f**3/3 + 2407*f**2. What is r(-8)?\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {b: 1, n: 1, x: 2, e: 2}. What is prob of sequence nx?\n' | b'1/15\n' | b'Two letters picked without replacement from {b: 1, n: 1, x: 2, e: 2}. What is prob of sequence nx?\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 1 l when two letters picked without replacement from iiiiiilili.\n' | b'16/45\n' | b'Calculate prob of picking 1 i and 1 l when two letters picked without replacement from iiiiiilili.\n' | b'16/45\n' | deepmind/math_dataset |
b'Let x = -131 + 127. Let n be 248/(-60) - x - 951/(-45). Let v be (70/n)/((-15)/(-18)). Solve 1 - 12 = -h + v*o, 0 = -2*o - 8 for h.\n' | b'-5\n' | b'Let x = -131 + 127. Let n be 248/(-60) - x - 951/(-45). Let v be (70/n)/((-15)/(-18)). Solve 1 - 12 = -h + v*o, 0 = -2*o - 8 for h.\n' | b'-5\n' | deepmind/math_dataset |
b'Let w = 405 - 221. Let q = w + -179. Solve -16 = q*x + m + 1, -15 = 3*x - m for x.\n' | b'-4\n' | b'Let w = 405 - 221. Let q = w + -179. Solve -16 = q*x + m + 1, -15 = 3*x - m for x.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((a**(1/2)*a*a/(a/a**(-1/5))*a)/(a**(2/3)*a*a/(a/(a*a**6*a))))/(a**(-1/13)*(a**(-2/7)*a)/a)**37 assuming a is positive.\n' | b'a**(16519/2730)\n' | b'Simplify ((a**(1/2)*a*a/(a/a**(-1/5))*a)/(a**(2/3)*a*a/(a/(a*a**6*a))))/(a**(-1/13)*(a**(-2/7)*a)/a)**37 assuming a is positive.\n' | b'a**(16519/2730)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {n: 1, c: 3, x: 10, i: 1}. What is prob of sequence cic?\n' | b'1/455\n' | b'Three letters picked without replacement from {n: 1, c: 3, x: 10, i: 1}. What is prob of sequence cic?\n' | b'1/455\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jjjjjj. What is prob of picking 3 j?\n' | b'1\n' | b'Three letters picked without replacement from jjjjjj. What is prob of picking 3 j?\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 0 = 7*g - 11*g + 8. Let n(t) = -5*t + 12. Let i be n(g). Let h(o) = 1 + 1 + i*o - 2*o - 5*o**2 - 2*o. What is h(-2)?\n' | b'-14\n' | b'Suppose 0 = 7*g - 11*g + 8. Let n(t) = -5*t + 12. Let i be n(g). Let h(o) = 1 + 1 + i*o - 2*o - 5*o**2 - 2*o. What is h(-2)?\n' | b'-14\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {y: 9, q: 5}. Give prob of picking 1 y and 2 q.\n' | b'45/182\n' | b'Three letters picked without replacement from {y: 9, q: 5}. Give prob of picking 1 y and 2 q.\n' | b'45/182\n' | deepmind/math_dataset |
b'Let r(k) = -k + 4. Let x be r(2). Solve 3*d = -x*y - 16, 5*y + 2 = 2*d - 0*y for d.\n' | b'-4\n' | b'Let r(k) = -k + 4. Let x be r(2). Solve 3*d = -x*y - 16, 5*y + 2 = 2*d - 0*y for d.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 0 = -0*b - b. Let s be 4/10 - 99/(-15). Let n(v) = v**3 - 8*v**2 + 7*v + 5. Let l be n(s). Solve 3*r - 23 = l*u + 7, 4*r - 20 = b for u.\n' | b'-3\n' | b'Suppose 0 = -0*b - b. Let s be 4/10 - 99/(-15). Let n(v) = v**3 - 8*v**2 + 7*v + 5. Let l be n(s). Solve 3*r - 23 = l*u + 7, 4*r - 20 = b for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let v(i) = -4*i**3 + 44*i**2 - 27*i - 177. Let o(c) = -c**3 + 14*c**2 - 10*c - 59. Let m(j) = -7*o(j) + 2*v(j). Determine m(-11).\n' | b'4\n' | b'Let v(i) = -4*i**3 + 44*i**2 - 27*i - 177. Let o(c) = -c**3 + 14*c**2 - 10*c - 59. Let m(j) = -7*o(j) + 2*v(j). Determine m(-11).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence kmk when three letters picked without replacement from wkmhgkdd.\n' | b'1/168\n' | b'Calculate prob of sequence kmk when three letters picked without replacement from wkmhgkdd.\n' | b'1/168\n' | deepmind/math_dataset |
b'Suppose r = 5*r + 32. Let i = r - -9. Differentiate -7*x**3 + 1 - 6 - i wrt x.\n' | b'-21*x**2\n' | b'Suppose r = 5*r + 32. Let i = r - -9. Differentiate -7*x**3 + 1 - 6 - i wrt x.\n' | b'-21*x**2\n' | deepmind/math_dataset |
b'Suppose 4*o + 2*q = 5*o - 6, -5*o = q - 63. Suppose -14*x - 4 = -o*x. Let t(g) = -2*g + 2. Calculate t(x).\n' | b'6\n' | b'Suppose 4*o + 2*q = 5*o - 6, -5*o = q - 63. Suppose -14*x - 4 = -o*x. Let t(g) = -2*g + 2. Calculate t(x).\n' | b'6\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 5, p: 1, i: 1, j: 5}. What is prob of picking 2 m?\n' | b'5/33\n' | b'Two letters picked without replacement from {m: 5, p: 1, i: 1, j: 5}. What is prob of picking 2 m?\n' | b'5/33\n' | deepmind/math_dataset |
b'Let n = -57 + 115. Suppose -n = -4*t + 2*q, 22 = 2*t - 5*q - 27. Let v be (-39)/t - 6/8. Let o(k) = -k + 1. What is o(v)?\n' | b'5\n' | b'Let n = -57 + 115. Suppose -n = -4*t + 2*q, 22 = 2*t - 5*q - 27. Let v be (-39)/t - 6/8. Let o(k) = -k + 1. What is o(v)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose 5*l = 3*w - 13, 4*l + l + 33 = -2*w. Let i be w/(-12) - 10/(-6). Suppose g = -2*k + i*g - 2, 4*g - 8 = 0. Solve -5*x = 2*m - 2, 4*x - 8*x = k for m.\n' | b'1\n' | b'Suppose 5*l = 3*w - 13, 4*l + l + 33 = -2*w. Let i be w/(-12) - 10/(-6). Suppose g = -2*k + i*g - 2, 4*g - 8 = 0. Solve -5*x = 2*m - 2, 4*x - 8*x = k for m.\n' | b'1\n' | deepmind/math_dataset |
b'Let d = -14 - -16. Let l = 8 + -3. Solve 3*b - l*b = 4*a - 6, d*a - 5*b + 3 = 0 for a.\n' | b'1\n' | b'Let d = -14 - -16. Let l = 8 + -3. Solve 3*b - l*b = 4*a - 6, d*a - 5*b + 3 = 0 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (u/(u*u**(-15/7)*u))**(-8)/((u*u/(u/(u*u**(14/3)*u*u)))/u**29) assuming u is positive.\n' | b'u**(235/21)\n' | b'Simplify (u/(u*u**(-15/7)*u))**(-8)/((u*u/(u/(u*u**(14/3)*u*u)))/u**29) assuming u is positive.\n' | b'u**(235/21)\n' | deepmind/math_dataset |
b'Let i(b) = -b**2 - 11*b + 8. Let r be i(-12). Let o be 70/r*(-40)/14. Suppose o = -5*d + 55. Let c(j) = j**3 - j + 1. Give c(d).\n' | b'1\n' | b'Let i(b) = -b**2 - 11*b + 8. Let r be i(-12). Let o be 70/r*(-40)/14. Suppose o = -5*d + 55. Let c(j) = j**3 - j + 1. Give c(d).\n' | b'1\n' | deepmind/math_dataset |
b'Let s(n) = -n**3 + 7*n**2 - 8*n + 27. Let a(i) = -i**2 + 625*i - 3707. Let p be a(6). Give s(p).\n' | b'-29\n' | b'Let s(n) = -n**3 + 7*n**2 - 8*n + 27. Let a(i) = -i**2 + 625*i - 3707. Let p be a(6). Give s(p).\n' | b'-29\n' | deepmind/math_dataset |
b'Let f(c) = -c**4 + c**2 + 1. Let w(s) = -s**4 - 4*s**2 - 2. Let p(h) = -4*f(h) - w(h). Differentiate p(x) wrt x.\n' | b'20*x**3\n' | b'Let f(c) = -c**4 + c**2 + 1. Let w(s) = -s**4 - 4*s**2 - 2. Let p(h) = -4*f(h) - w(h). Differentiate p(x) wrt x.\n' | b'20*x**3\n' | deepmind/math_dataset |
b'Let g be ((-13)/117*-6)/((-3)/(-36)). Let l(d) = -3*d + 5. What is l(g)?\n' | b'-19\n' | b'Let g be ((-13)/117*-6)/((-3)/(-36)). Let l(d) = -3*d + 5. What is l(g)?\n' | b'-19\n' | deepmind/math_dataset |
b'Let h be (45/(-36))/(3/(-12)). Let j(q) = q**3 - 4*q**2 - 6*q + 3. Let r(g) = 2*g**3 - 8*g**2 - 12*g + 7. Let u(p) = -7*j(p) + 4*r(p). Determine u(h).\n' | b'2\n' | b'Let h be (45/(-36))/(3/(-12)). Let j(q) = q**3 - 4*q**2 - 6*q + 3. Let r(g) = 2*g**3 - 8*g**2 - 12*g + 7. Let u(p) = -7*j(p) + 4*r(p). Determine u(h).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of picking 1 p and 1 s when two letters picked without replacement from psdko?\n' | b'1/10\n' | b'What is prob of picking 1 p and 1 s when two letters picked without replacement from psdko?\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (o**10/((o*o/(((o/(o**2/o))/o*o)/o))/o))/(o**(-1/9)*o*o*o/(o**(-2/11)*o)) assuming o is positive.\n' | b'o**(587/99)\n' | b'Simplify (o**10/((o*o/(((o/(o**2/o))/o*o)/o))/o))/(o**(-1/9)*o*o*o/(o**(-2/11)*o)) assuming o is positive.\n' | b'o**(587/99)\n' | deepmind/math_dataset |
b'What is prob of picking 1 y, 1 b, and 1 s when three letters picked without replacement from {y: 2, b: 10, s: 2}?\n' | b'10/91\n' | b'What is prob of picking 1 y, 1 b, and 1 s when three letters picked without replacement from {y: 2, b: 10, s: 2}?\n' | b'10/91\n' | deepmind/math_dataset |
b'Simplify (((d/((d**(-1/7)/d*d)/d))/d*d)**(-39/4)*(d/(d**(-2/23)/d))**(-1/4))**(-3/13) assuming d is positive.\n' | b'd**(41373/8372)\n' | b'Simplify (((d/((d**(-1/7)/d*d)/d))/d*d)**(-39/4)*(d/(d**(-2/23)/d))**(-1/4))**(-3/13) assuming d is positive.\n' | b'd**(41373/8372)\n' | deepmind/math_dataset |
b'What is the third derivative of 1745*b**5 - 32*b**2 - 41 - 33*b**2 - 95*b**5 + 66*b**2 - 24*b**2 wrt b?\n' | b'99000*b**2\n' | b'What is the third derivative of 1745*b**5 - 32*b**2 - 41 - 33*b**2 - 95*b**5 + 66*b**2 - 24*b**2 wrt b?\n' | b'99000*b**2\n' | deepmind/math_dataset |
b'What is the third derivative of -4 - 194*p**3 - 662*p**2 - 698*p**2 + 4 + 1412*p**2 wrt p?\n' | b'-1164\n' | b'What is the third derivative of -4 - 194*p**3 - 662*p**2 - 698*p**2 + 4 + 1412*p**2 wrt p?\n' | b'-1164\n' | deepmind/math_dataset |
b'Let r = -16 - -12. Let l(t) = -t - 4. Calculate l(r).\n' | b'0\n' | b'Let r = -16 - -12. Let l(t) = -t - 4. Calculate l(r).\n' | b'0\n' | deepmind/math_dataset |
b'Let q(l) = 16*l - 350. Let j be q(22). What is the third derivative of -7*z**2 - 110*z**6 + 32*z**2 + 4*z**2 - 8*z**j wrt z?\n' | b'-13200*z**3\n' | b'Let q(l) = 16*l - 350. Let j be q(22). What is the third derivative of -7*z**2 - 110*z**6 + 32*z**2 + 4*z**2 - 8*z**j wrt z?\n' | b'-13200*z**3\n' | deepmind/math_dataset |
b'Suppose 1 = g - 19. Suppose 4*r - 2*t - g = 0, 0 = t + 4*t. Solve 0 = 5*b - 4*v - 35, -31 = -5*b + r*v + 9 for b.\n' | b'3\n' | b'Suppose 1 = g - 19. Suppose 4*r - 2*t - g = 0, 0 = t + 4*t. Solve 0 = 5*b - 4*v - 35, -31 = -5*b + r*v + 9 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify ((r*r**(-1/3))**24/(r**4/r*r*r/((r*r**(4/5))/r)))/((r/(r/r**0))/r*r*r**(1/14)/r)**(-2) assuming r is positive.\n' | b'r**(348/35)\n' | b'Simplify ((r*r**(-1/3))**24/(r**4/r*r*r/((r*r**(4/5))/r)))/((r/(r/r**0))/r*r*r**(1/14)/r)**(-2) assuming r is positive.\n' | b'r**(348/35)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {x: 3, d: 1, z: 1}. What is prob of picking 1 x, 1 z, and 1 d?\n' | b'3/10\n' | b'Three letters picked without replacement from {x: 3, d: 1, z: 1}. What is prob of picking 1 x, 1 z, and 1 d?\n' | b'3/10\n' | deepmind/math_dataset |
b'What is prob of sequence yl when two letters picked without replacement from lydgvgq?\n' | b'1/42\n' | b'What is prob of sequence yl when two letters picked without replacement from lydgvgq?\n' | b'1/42\n' | deepmind/math_dataset |
b'Let h(m) = -m**2 - 2*m - 3. Let j be h(-3). Let z = -4 - j. Let v = 1 - -8. Solve -a + v = -2*b + z*a, -b - 5 = -2*a for b.\n' | b'-3\n' | b'Let h(m) = -m**2 - 2*m - 3. Let j be h(-3). Let z = -4 - j. Let v = 1 - -8. Solve -a + v = -2*b + z*a, -b - 5 = -2*a for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose -3*s = z - 45, -5*z + 225 = -9*s + 4*s. Suppose 5*a = 2*o - 56, -3*o + 161 = 2*o - 2*a. Solve -5*j = 2*l + o, 0*j - z = 5*j + 5*l for j.\n' | b'-5\n' | b'Suppose -3*s = z - 45, -5*z + 225 = -9*s + 4*s. Suppose 5*a = 2*o - 56, -3*o + 161 = 2*o - 2*a. Solve -5*j = 2*l + o, 0*j - z = 5*j + 5*l for j.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(w) be the first derivative of -w**6 + w**3/2 + 30*w - 18. Let q(r) be the first derivative of o(r). Find the second derivative of q(d) wrt d.\n' | b'-360*d**2\n' | b'Let o(w) be the first derivative of -w**6 + w**3/2 + 30*w - 18. Let q(r) be the first derivative of o(r). Find the second derivative of q(d) wrt d.\n' | b'-360*d**2\n' | deepmind/math_dataset |
b'Let p(q) = -q**3 - 3*q**2 + q + 7. Let d(a) = 5*a**3 + 15*a**2 - 4*a - 36. Let r(g) = 2*d(g) + 11*p(g). What is r(-4)?\n' | b'9\n' | b'Let p(q) = -q**3 - 3*q**2 + q + 7. Let d(a) = 5*a**3 + 15*a**2 - 4*a - 36. Let r(g) = 2*d(g) + 11*p(g). What is r(-4)?\n' | b'9\n' | deepmind/math_dataset |
b'Let f be 10/6 - 3/(-9). What is the second derivative of f*s**3 + 3*s**5 - 2*s**3 + s wrt s?\n' | b'60*s**3\n' | b'Let f be 10/6 - 3/(-9). What is the second derivative of f*s**3 + 3*s**5 - 2*s**3 + s wrt s?\n' | b'60*s**3\n' | deepmind/math_dataset |
b'Suppose 5*c - 8*c - 11 = -4*y, -y = -2*c + 1. Solve 0 = 4*j + c*k - 12, k = -3*j - 4*k + 20 for j.\n' | b'0\n' | b'Suppose 5*c - 8*c - 11 = -4*y, -y = -2*c + 1. Solve 0 = 4*j + c*k - 12, k = -3*j - 4*k + 20 for j.\n' | b'0\n' | deepmind/math_dataset |
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