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'Suppose 2*v - 152 = 4*r - 146, -23 = -4*v - 3*r. Solve -2*f = 5*p, -2*f + v*f = -3*p + 9 for p.\n' | b'-2\n' | b'Suppose 2*v - 152 = 4*r - 146, -23 = -4*v - 3*r. Solve -2*f = 5*p, -2*f + v*f = -3*p + 9 for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Let g(o) = 2*o - 9. Let c be g(5). Let a(b) = 10*b + 6*b - 18*b - c. Calculate a(1).\n' | b'-3\n' | b'Let g(o) = 2*o - 9. Let c be g(5). Let a(b) = 10*b + 6*b - 18*b - c. Calculate a(1).\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 26 = 5*p - i, 5*p + 2*i - 34 = i. What is the second derivative of -z**5 + p*z**5 - 13*z**3 + z + 13*z**3 wrt z?\n' | b'100*z**3\n' | b'Suppose 26 = 5*p - i, 5*p + 2*i - 34 = i. What is the second derivative of -z**5 + p*z**5 - 13*z**3 + z + 13*z**3 wrt z?\n' | b'100*z**3\n' | deepmind/math_dataset |
b'Let z(n) = n**2 + n - 3. Let q = 507 - 509. Determine z(q).\n' | b'-1\n' | b'Let z(n) = n**2 + n - 3. Let q = 507 - 509. Determine z(q).\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 3*p + 6*m = 3*m, 4*p - 3*m - 21 = 0. Solve -2*b - p*d = 13, 0*d + 5*d + 25 = -5*b for b.\n' | b'-2\n' | b'Suppose 3*p + 6*m = 3*m, 4*p - 3*m - 21 = 0. Solve -2*b - p*d = 13, 0*d + 5*d + 25 = -5*b for b.\n' | b'-2\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ykyyzrykyzyi. What is prob of sequence zkyy?\n' | b'1/99\n' | b'Four letters picked without replacement from ykyyzrykyzyi. What is prob of sequence zkyy?\n' | b'1/99\n' | deepmind/math_dataset |
b'Let x(i) = -2*i + 6. Let l be x(2). Solve 4*n = 4*y, -l*y + 15 = -3*n - 2*n for y.\n' | b'-5\n' | b'Let x(i) = -2*i + 6. Let l be x(2). Solve 4*n = 4*y, -l*y + 15 = -3*n - 2*n for y.\n' | b'-5\n' | deepmind/math_dataset |
b'Let y = 1 - 1. Let c(o) = o**2 + 3*o + 3. Let q be c(-2). Let m = q + 1. Solve -5*g + 2*z + 4 + 1 = 0, g - z + m = y for g.\n' | b'3\n' | b'Let y = 1 - 1. Let c(o) = o**2 + 3*o + 3. Let q be c(-2). Let m = q + 1. Solve -5*g + 2*z + 4 + 1 = 0, g - z + m = y for g.\n' | b'3\n' | deepmind/math_dataset |
b'Let r(i) be the first derivative of -47*i**4/12 - 19*i**3/3 + 32*i - 17. Let c(m) be the first derivative of r(m). Find the second derivative of c(p) wrt p.\n' | b'-94\n' | b'Let r(i) be the first derivative of -47*i**4/12 - 19*i**3/3 + 32*i - 17. Let c(m) be the first derivative of r(m). Find the second derivative of c(p) wrt p.\n' | b'-94\n' | deepmind/math_dataset |
b'Suppose -4*q + 5*g + 2 + 4 = 0, -5*q - g - 7 = 0. Let z be -2*2 - (q + -4). Differentiate 16 - 14*k**3 - 6*k**3 + z + 1 wrt k.\n' | b'-60*k**2\n' | b'Suppose -4*q + 5*g + 2 + 4 = 0, -5*q - g - 7 = 0. Let z be -2*2 - (q + -4). Differentiate 16 - 14*k**3 - 6*k**3 + z + 1 wrt k.\n' | b'-60*k**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 a, 1 d, and 1 r when three letters picked without replacement from {d: 1, r: 4, f: 1, a: 2, b: 8}?\n' | b'1/70\n' | b'What is prob of picking 1 a, 1 d, and 1 r when three letters picked without replacement from {d: 1, r: 4, f: 1, a: 2, b: 8}?\n' | b'1/70\n' | deepmind/math_dataset |
b'Simplify (k/(k/((k/(k/(k*k**(13/4)/k)))/k)))/k*k/(((((k*k**(-18))/k)/k*k)/k)/k) assuming k is positive.\n' | b'k**(89/4)\n' | b'Simplify (k/(k/((k/(k/(k*k**(13/4)/k)))/k)))/k*k/(((((k*k**(-18))/k)/k*k)/k)/k) assuming k is positive.\n' | b'k**(89/4)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uuuuguuggzuzgg. Give prob of sequence uggg.\n' | b'5/286\n' | b'Four letters picked without replacement from uuuuguuggzuzgg. Give prob of sequence uggg.\n' | b'5/286\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qqsssgqgs. What is prob of sequence sqq?\n' | b'1/21\n' | b'Three letters picked without replacement from qqsssgqgs. What is prob of sequence sqq?\n' | b'1/21\n' | deepmind/math_dataset |
b'Simplify ((f*f**(2/7))**35*(f**0)**(-11))/(f**0/(f/(f*f/((f*f**(-3/7)*f)/f*f*f))))**39 assuming f is positive.\n' | b'f**(744/7)\n' | b'Simplify ((f*f**(2/7))**35*(f**0)**(-11))/(f**0/(f/(f*f/((f*f**(-3/7)*f)/f*f*f))))**39 assuming f is positive.\n' | b'f**(744/7)\n' | deepmind/math_dataset |
b'Suppose 4*n = -5*s - 57, -7*n + 4*n + s - 57 = 0. Let a = 14 + n. Let x be (-1)/(-1)*(a - -6). Let k(d) = 3*d**2 - 2. Give k(x).\n' | b'10\n' | b'Suppose 4*n = -5*s - 57, -7*n + 4*n + s - 57 = 0. Let a = 14 + n. Let x be (-1)/(-1)*(a - -6). Let k(d) = 3*d**2 - 2. Give k(x).\n' | b'10\n' | deepmind/math_dataset |
b'Four letters picked without replacement from eeeaelallenpaeeln. Give prob of picking 2 n, 1 p, and 1 l.\n' | b'1/595\n' | b'Four letters picked without replacement from eeeaelallenpaeeln. Give prob of picking 2 n, 1 p, and 1 l.\n' | b'1/595\n' | deepmind/math_dataset |
b'Let c(z) be the second derivative of -13*z**7/3 - z**5/10 - 9*z**3 - 5*z**2 - 900*z + 1. Find the second derivative of c(n) wrt n.\n' | b'-3640*n**3 - 12*n\n' | b'Let c(z) be the second derivative of -13*z**7/3 - z**5/10 - 9*z**3 - 5*z**2 - 900*z + 1. Find the second derivative of c(n) wrt n.\n' | b'-3640*n**3 - 12*n\n' | deepmind/math_dataset |
b'Simplify (p**(-1/3))**(-50)/((p/p**1)/(p**(-2/21)/p)) assuming p is positive.\n' | b'p**(109/7)\n' | b'Simplify (p**(-1/3))**(-50)/((p/p**1)/(p**(-2/21)/p)) assuming p is positive.\n' | b'p**(109/7)\n' | deepmind/math_dataset |
b'Let m(f) = -2*f - 5. Let x(n) = -5*n - 15. Suppose 0 = 5*v - 5*s - 85, 4*v + 4*s = 3*v + 17. Let j(o) = v*m(o) - 6*x(o). What is j(6)?\n' | b'-19\n' | b'Let m(f) = -2*f - 5. Let x(n) = -5*n - 15. Suppose 0 = 5*v - 5*s - 85, 4*v + 4*s = 3*v + 17. Let j(o) = v*m(o) - 6*x(o). What is j(6)?\n' | b'-19\n' | deepmind/math_dataset |
b'What is prob of sequence sp when two letters picked without replacement from ppsppks?\n' | b'4/21\n' | b'What is prob of sequence sp when two letters picked without replacement from ppsppks?\n' | b'4/21\n' | deepmind/math_dataset |
b'Suppose 9*r = 5*r - 2*r + 24. Solve -c = -r*y - 8, -3*c = -y + 3*y + 18 for y.\n' | b'-3\n' | b'Suppose 9*r = 5*r - 2*r + 24. Solve -c = -r*y - 8, -3*c = -y + 3*y + 18 for y.\n' | b'-3\n' | deepmind/math_dataset |
b'Let z = 16 - 11. Let r = 128 - -3. Let s = r + -105. Solve 1 = u - 4*v, z*u + s = -5*v + 6 for u.\n' | b'-3\n' | b'Let z = 16 - 11. Let r = 128 - -3. Let s = r + -105. Solve 1 = u - 4*v, z*u + s = -5*v + 6 for u.\n' | b'-3\n' | deepmind/math_dataset |
b'Let u(f) be the third derivative of -f**6/120 + f**5/15 - f**4/24 - f**3/2 - 6*f**2. Let j be u(3). Solve j = -5*w + 2*n + 15, -5*w + 13 = -3*n for w.\n' | b'2\n' | b'Let u(f) be the third derivative of -f**6/120 + f**5/15 - f**4/24 - f**3/2 - 6*f**2. Let j be u(3). Solve j = -5*w + 2*n + 15, -5*w + 13 = -3*n for w.\n' | b'2\n' | deepmind/math_dataset |
b'Let g(j) = -j - 4. Let a be g(-6). Let t be 14/(-2)*7/7. Let d be 9/(-12) - 6/(-8) - t. Solve d + 17 = 4*y - a*x, 0 = -4*y - 4*x for y.\n' | b'4\n' | b'Let g(j) = -j - 4. Let a be g(-6). Let t be 14/(-2)*7/7. Let d be 9/(-12) - 6/(-8) - t. Solve d + 17 = 4*y - a*x, 0 = -4*y - 4*x for y.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((h*h**(-6))/(h/h**(-5)))**36/((h*h*h*(h/h**10)/h)/(h**(2/13)*h))**(1/13) assuming h is positive.\n' | b'h**(-66818/169)\n' | b'Simplify ((h*h**(-6))/(h/h**(-5)))**36/((h*h*h*(h/h**10)/h)/(h**(2/13)*h))**(1/13) assuming h is positive.\n' | b'h**(-66818/169)\n' | deepmind/math_dataset |
b'Simplify (((k**3*k/((k**6*k)/k*k*k))**2)**(-23))**44 assuming k is positive.\n' | b'k**8096\n' | b'Simplify (((k**3*k/((k**6*k)/k*k*k))**2)**(-23))**44 assuming k is positive.\n' | b'k**8096\n' | deepmind/math_dataset |
b'What is the derivative of 566825 + 44*h**3 - 564719 + 90*h**3 wrt h?\n' | b'402*h**2\n' | b'What is the derivative of 566825 + 44*h**3 - 564719 + 90*h**3 wrt h?\n' | b'402*h**2\n' | deepmind/math_dataset |
b'Let x(u) = -1 + u**2 + u**4 - 2*u**2 + u + 1. Let c(j) = 6*j**4 - 4*j**2 + 3*j. Let o(z) = -c(z) + 4*x(z). What is the second derivative of o(l) wrt l?\n' | b'-24*l**2\n' | b'Let x(u) = -1 + u**2 + u**4 - 2*u**2 + u + 1. Let c(j) = 6*j**4 - 4*j**2 + 3*j. Let o(z) = -c(z) + 4*x(z). What is the second derivative of o(l) wrt l?\n' | b'-24*l**2\n' | deepmind/math_dataset |
b'Let a(v) = 5*v**2 + 50*v + 14. Suppose -46*l = -17*l + 41*l + 700. Determine a(l).\n' | b'14\n' | b'Let a(v) = 5*v**2 + 50*v + 14. Suppose -46*l = -17*l + 41*l + 700. Determine a(l).\n' | b'14\n' | deepmind/math_dataset |
b'Suppose -4*u + 23 + 1 = 0. Let h = 37 + -17. Suppose 2*i - u*i = -h. Solve 0 = i*n + 5*j - 0*j, -4*j = 16 for n.\n' | b'4\n' | b'Suppose -4*u + 23 + 1 = 0. Let h = 37 + -17. Suppose 2*i - u*i = -h. Solve 0 = i*n + 5*j - 0*j, -4*j = 16 for n.\n' | b'4\n' | deepmind/math_dataset |
b'Find the third derivative of 0*b**2 + 3761*b**3 + 101 + 193*b**2 + 6*b + 19*b**2 - 102 - 9*b wrt b.\n' | b'22566\n' | b'Find the third derivative of 0*b**2 + 3761*b**3 + 101 + 193*b**2 + 6*b + 19*b**2 - 102 - 9*b wrt b.\n' | b'22566\n' | deepmind/math_dataset |
b'Let w(k) be the third derivative of 11*k**6/120 - 52*k**5/15 - 12445*k**3/6 + k**2 + 2741*k. Differentiate w(q) with respect to q.\n' | b'33*q**2 - 416*q\n' | b'Let w(k) be the third derivative of 11*k**6/120 - 52*k**5/15 - 12445*k**3/6 + k**2 + 2741*k. Differentiate w(q) with respect to q.\n' | b'33*q**2 - 416*q\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 7, l: 2, j: 5}. What is prob of sequence iiij?\n' | b'25/572\n' | b'Four letters picked without replacement from {i: 7, l: 2, j: 5}. What is prob of sequence iiij?\n' | b'25/572\n' | deepmind/math_dataset |
b'Simplify (((n*n**0*n)**48/(n**(2/7))**(1/52))**(-5/6))**20 assuming n is positive.\n' | b'n**(-436775/273)\n' | b'Simplify (((n*n**0*n)**48/(n**(2/7))**(1/52))**(-5/6))**20 assuming n is positive.\n' | b'n**(-436775/273)\n' | deepmind/math_dataset |
b'Suppose -p + 2*q = 4*p - 2, -2*q = 2*p + 2. Suppose -2*f + 4 = -p*f. Find the second derivative of 41*d**5 - 13*d + f*d - 52*d**5 wrt d.\n' | b'-220*d**3\n' | b'Suppose -p + 2*q = 4*p - 2, -2*q = 2*p + 2. Suppose -2*f + 4 = -p*f. Find the second derivative of 41*d**5 - 13*d + f*d - 52*d**5 wrt d.\n' | b'-220*d**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 1, b: 3, z: 4, g: 1, c: 2, r: 1}. What is prob of picking 1 g and 1 c?\n' | b'1/33\n' | b'Two letters picked without replacement from {n: 1, b: 3, z: 4, g: 1, c: 2, r: 1}. What is prob of picking 1 g and 1 c?\n' | b'1/33\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 1 r when two letters picked without replacement from {g: 4, r: 1, b: 2, l: 2, j: 1, d: 2}?\n' | b'1/33\n' | b'What is prob of picking 1 l and 1 r when two letters picked without replacement from {g: 4, r: 1, b: 2, l: 2, j: 1, d: 2}?\n' | b'1/33\n' | deepmind/math_dataset |
b'Let d(t) be the third derivative of 5*t**4/24 + 16*t**3/3 - 22*t**2 - t + 21. Give d(-9).\n' | b'-13\n' | b'Let d(t) be the third derivative of 5*t**4/24 + 16*t**3/3 - 22*t**2 - t + 21. Give d(-9).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify (h/h**(-8/5))/(h*h**(4/9))*h/h**(-3)*h**(-7)*(h/((h*h**(-3)*h)/h*h*h)*h**(3/5)*h)/((h*h**(-9/5))/h**(4/9)) assuming h is positive.\n' | b'h**2\n' | b'Simplify (h/h**(-8/5))/(h*h**(4/9))*h/h**(-3)*h**(-7)*(h/((h*h**(-3)*h)/h*h*h)*h**(3/5)*h)/((h*h**(-9/5))/h**(4/9)) assuming h is positive.\n' | b'h**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {c: 8, a: 1, o: 6}. What is prob of sequence ao?\n' | b'1/35\n' | b'Two letters picked without replacement from {c: 8, a: 1, o: 6}. What is prob of sequence ao?\n' | b'1/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ppgpppppppppppp. What is prob of picking 2 p?\n' | b'13/15\n' | b'Two letters picked without replacement from ppgpppppppppppp. What is prob of picking 2 p?\n' | b'13/15\n' | deepmind/math_dataset |
b'Calculate prob of sequence omv when three letters picked without replacement from {l: 10, f: 3, v: 1, o: 1, m: 2}.\n' | b'1/2040\n' | b'Calculate prob of sequence omv when three letters picked without replacement from {l: 10, f: 3, v: 1, o: 1, m: 2}.\n' | b'1/2040\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 3, a: 1, y: 3, e: 1, v: 3}. What is prob of picking 2 y?\n' | b'3/55\n' | b'Two letters picked without replacement from {z: 3, a: 1, y: 3, e: 1, v: 3}. What is prob of picking 2 y?\n' | b'3/55\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {s: 1, i: 3, v: 5, f: 6, l: 1, r: 1}. What is prob of picking 2 i?\n' | b'3/136\n' | b'Two letters picked without replacement from {s: 1, i: 3, v: 5, f: 6, l: 1, r: 1}. What is prob of picking 2 i?\n' | b'3/136\n' | deepmind/math_dataset |
b'Calculate prob of sequence yphp when four letters picked without replacement from {y: 1, j: 1, h: 1, p: 2}.\n' | b'1/60\n' | b'Calculate prob of sequence yphp when four letters picked without replacement from {y: 1, j: 1, h: 1, p: 2}.\n' | b'1/60\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ccccbbcbbcbcb. What is prob of sequence cc?\n' | b'7/26\n' | b'Two letters picked without replacement from ccccbbcbbcbcb. What is prob of sequence cc?\n' | b'7/26\n' | deepmind/math_dataset |
b'Let g be 402/78 - 4/26. Suppose 6 - 1 = 2*f - p, -g*p = 15. Let x(n) = -4*n - f + 0 - 31*n**2 + 30*n**2. What is x(-4)?\n' | b'-1\n' | b'Let g be 402/78 - 4/26. Suppose 6 - 1 = 2*f - p, -g*p = 15. Let x(n) = -4*n - f + 0 - 31*n**2 + 30*n**2. What is x(-4)?\n' | b'-1\n' | deepmind/math_dataset |
b'What is prob of picking 2 j and 1 z when three letters picked without replacement from zuuzuzjezeju?\n' | b'1/55\n' | b'What is prob of picking 2 j and 1 z when three letters picked without replacement from zuuzuzjezeju?\n' | b'1/55\n' | deepmind/math_dataset |
b'What is prob of sequence nby when three letters picked without replacement from {b: 1, y: 2, n: 1}?\n' | b'1/12\n' | b'What is prob of sequence nby when three letters picked without replacement from {b: 1, y: 2, n: 1}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Let g = 47/78 + -4/39. Let r(m) be the second derivative of -3*m + g*m**3 + 1/4*m**4 + 0*m**2 + 0. Find the second derivative of r(h) wrt h.\n' | b'6\n' | b'Let g = 47/78 + -4/39. Let r(m) be the second derivative of -3*m + g*m**3 + 1/4*m**4 + 0*m**2 + 0. Find the second derivative of r(h) wrt h.\n' | b'6\n' | deepmind/math_dataset |
b'Differentiate -118*o**3 + 14 + 111 - 4*o + 4*o with respect to o.\n' | b'-354*o**2\n' | b'Differentiate -118*o**3 + 14 + 111 - 4*o + 4*o with respect to o.\n' | b'-354*o**2\n' | deepmind/math_dataset |
b'Simplify (u**(-2/5))**(-2/15)*(u*u**17*u*u)/u*u*u**(1/3) assuming u is positive.\n' | b'u**(1529/75)\n' | b'Simplify (u**(-2/5))**(-2/15)*(u*u**17*u*u)/u*u*u**(1/3) assuming u is positive.\n' | b'u**(1529/75)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 6, k: 6}. Give prob of sequence qq.\n' | b'5/22\n' | b'Two letters picked without replacement from {q: 6, k: 6}. Give prob of sequence qq.\n' | b'5/22\n' | deepmind/math_dataset |
b'Simplify ((m**(-1))**(-4/3)*(m*m/(m/(m/(m/(m*m**6*m))))*m*m)/m**(2/5))/(((m**(-2/9)/m)/((m**5/m)/m*m))/(m*m*m**(-1))**44) assuming m is positive.\n' | b'm**(2752/45)\n' | b'Simplify ((m**(-1))**(-4/3)*(m*m/(m/(m/(m/(m*m**6*m))))*m*m)/m**(2/5))/(((m**(-2/9)/m)/((m**5/m)/m*m))/(m*m*m**(-1))**44) assuming m is positive.\n' | b'm**(2752/45)\n' | deepmind/math_dataset |
b'Let x = -3911 + 3921. Solve -4*t + x = 2, v + 9 = 2*t for v.\n' | b'-5\n' | b'Let x = -3911 + 3921. Solve -4*t + x = 2, v + 9 = 2*t for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 y, 1 v, and 2 t when four letters picked without replacement from yrvrtrrrttttrryrrtt.\n' | b'7/646\n' | b'Calculate prob of picking 1 y, 1 v, and 2 t when four letters picked without replacement from yrvrtrrrttttrryrrtt.\n' | b'7/646\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {k: 11, r: 5, v: 1}. What is prob of picking 1 v and 1 r?\n' | b'5/136\n' | b'Two letters picked without replacement from {k: 11, r: 5, v: 1}. What is prob of picking 1 v and 1 r?\n' | b'5/136\n' | deepmind/math_dataset |
b'What is prob of sequence iptv when four letters picked without replacement from {i: 2, t: 1, v: 1, p: 3}?\n' | b'1/140\n' | b'What is prob of sequence iptv when four letters picked without replacement from {i: 2, t: 1, v: 1, p: 3}?\n' | b'1/140\n' | deepmind/math_dataset |
b'Two letters picked without replacement from pffrrppncfnffonrf. Give prob of sequence fc.\n' | b'3/136\n' | b'Two letters picked without replacement from pffrrppncfnffonrf. Give prob of sequence fc.\n' | b'3/136\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {m: 2, v: 1, b: 1, r: 1, t: 2, f: 2}. What is prob of picking 1 f and 1 m?\n' | b'1/9\n' | b'Two letters picked without replacement from {m: 2, v: 1, b: 1, r: 1, t: 2, f: 2}. What is prob of picking 1 f and 1 m?\n' | b'1/9\n' | deepmind/math_dataset |
b'Simplify d**(-2/57)/d**(-1/9) assuming d is positive.\n' | b'd**(13/171)\n' | b'Simplify d**(-2/57)/d**(-1/9) assuming d is positive.\n' | b'd**(13/171)\n' | deepmind/math_dataset |
b'Let r(k) = -5*k**3 + 2*k**2 - 10*k + 4. Let m(z) = -9*z**3 + 3*z**2 - 19*z + 7. Let p(q) = -6*m(q) + 11*r(q). Give p(5).\n' | b'-3\n' | b'Let r(k) = -5*k**3 + 2*k**2 - 10*k + 4. Let m(z) = -9*z**3 + 3*z**2 - 19*z + 7. Let p(q) = -6*m(q) + 11*r(q). Give p(5).\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((h**30/h)/h**(-32))**(-31) assuming h is positive.\n' | b'h**(-1891)\n' | b'Simplify ((h**30/h)/h**(-32))**(-31) assuming h is positive.\n' | b'h**(-1891)\n' | deepmind/math_dataset |
b'Let o = -2 + 2. Let q(z) be the first derivative of 0*z**4 + 0*z**2 + 1 + o*z + 1/3*z**3 + 0*z**5 - 1/6*z**6. Find the third derivative of q(w) wrt w.\n' | b'-60*w**2\n' | b'Let o = -2 + 2. Let q(z) be the first derivative of 0*z**4 + 0*z**2 + 1 + o*z + 1/3*z**3 + 0*z**5 - 1/6*z**6. Find the third derivative of q(w) wrt w.\n' | b'-60*w**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffxfxxxxxxfxxx. What is prob of picking 1 f and 1 x?\n' | b'40/91\n' | b'Two letters picked without replacement from ffxfxxxxxxfxxx. What is prob of picking 1 f and 1 x?\n' | b'40/91\n' | deepmind/math_dataset |
b'Let k be -10 + 5 + 49 + 6. Suppose o + h - 12 = 0, -o - 4*h - k = -4*o. Solve 4*t + 35 = 5*i, -2*i - o = 4*t - 0*i for t.\n' | b'-5\n' | b'Let k be -10 + 5 + 49 + 6. Suppose o + h - 12 = 0, -o - 4*h - k = -4*o. Solve 4*t + 35 = 5*i, -2*i - o = 4*t - 0*i for t.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify z**(-2)/z**6*(z/(z*z/z**(-2/7)*z*z))**(15/2) assuming z is positive.\n' | b'z**(-457/14)\n' | b'Simplify z**(-2)/z**6*(z/(z*z/z**(-2/7)*z*z))**(15/2) assuming z is positive.\n' | b'z**(-457/14)\n' | deepmind/math_dataset |
b'Suppose 0 = -12*u + 14*u + g - 4, 4*u - g - 8 = 0. Find the third derivative of -2*i**u - i**3 - 40*i - 3*i**3 - 66*i**6 + 4*i**3 + i wrt i.\n' | b'-7920*i**3\n' | b'Suppose 0 = -12*u + 14*u + g - 4, 4*u - g - 8 = 0. Find the third derivative of -2*i**u - i**3 - 40*i - 3*i**3 - 66*i**6 + 4*i**3 + i wrt i.\n' | b'-7920*i**3\n' | deepmind/math_dataset |
b'Suppose 2 = -3*a + 17. Suppose -3*v + 21 = 3*k, a*k + 1 = 2*v + 22. Solve 16 = -3*t + 4, 0 = k*o - t + 1 for o.\n' | b'-1\n' | b'Suppose 2 = -3*a + 17. Suppose -3*v + 21 = 3*k, a*k + 1 = 2*v + 22. Solve 16 = -3*t + 4, 0 = k*o - t + 1 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Let w = 24 - 16. Let j be w*3/(-12)*2. Let q(n) = -n**2 - 11*n - 14. Let c(i) = i**2 + 10*i + 12. Let r(p) = 6*c(p) + 5*q(p). What is r(j)?\n' | b'-2\n' | b'Let w = 24 - 16. Let j be w*3/(-12)*2. Let q(n) = -n**2 - 11*n - 14. Let c(i) = i**2 + 10*i + 12. Let r(p) = 6*c(p) + 5*q(p). What is r(j)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let k(c) = 3*c**2 - 1. Suppose 0 = -4*s + d + 2*d + 24, -3*s = -4*d - 25. Let y = 5 - s. Calculate k(y).\n' | b'11\n' | b'Let k(c) = 3*c**2 - 1. Suppose 0 = -4*s + d + 2*d + 24, -3*s = -4*d - 25. Let y = 5 - s. Calculate k(y).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose -2*y - 4 = -x + 3*x, 3*x - 4*y + 13 = 0. Let p = x - -24. Suppose 5*v = -6 + p. Solve -2 = v*a + u, 17 = -3*u + 2 for a.\n' | b'1\n' | b'Suppose -2*y - 4 = -x + 3*x, 3*x - 4*y + 13 = 0. Let p = x - -24. Suppose 5*v = -6 + p. Solve -2 = v*a + u, 17 = -3*u + 2 for a.\n' | b'1\n' | deepmind/math_dataset |
b'Let o(j) = -j**2 - 10*j - 6. Suppose 8*w + 5*r = 3*w + 35, 4*w = 5*r + 1. Suppose -2*u - 2*z - 2 = 0, 3*u - 3*z + 5 = w*u. Calculate o(u).\n' | b'18\n' | b'Let o(j) = -j**2 - 10*j - 6. Suppose 8*w + 5*r = 3*w + 35, 4*w = 5*r + 1. Suppose -2*u - 2*z - 2 = 0, 3*u - 3*z + 5 = w*u. Calculate o(u).\n' | b'18\n' | deepmind/math_dataset |
b'What is prob of sequence ptq when three letters picked without replacement from hqqkhthqkqptkthqqq?\n' | b'7/1632\n' | b'What is prob of sequence ptq when three letters picked without replacement from hqqkhthqkqptkthqqq?\n' | b'7/1632\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 q when four letters picked without replacement from {t: 2, a: 1, q: 6, i: 7, w: 2, j: 1}.\n' | b'5/1292\n' | b'Calculate prob of picking 4 q when four letters picked without replacement from {t: 2, a: 1, q: 6, i: 7, w: 2, j: 1}.\n' | b'5/1292\n' | deepmind/math_dataset |
b'Let s(x) be the third derivative of -x**4/4 - 136*x**3/3 + 2198*x**2. Calculate s(-44).\n' | b'-8\n' | b'Let s(x) be the third derivative of -x**4/4 - 136*x**3/3 + 2198*x**2. Calculate s(-44).\n' | b'-8\n' | deepmind/math_dataset |
b'Let t(q) = -q**2 - 2*q - 5 - 6*q**3 + 0*q**3 + 4 + 3*q**3. Let l(g) = -3*g + 1. Let y be l(1). Let a be (-1 - 0)*y/(-2). Calculate t(a).\n' | b'3\n' | b'Let t(q) = -q**2 - 2*q - 5 - 6*q**3 + 0*q**3 + 4 + 3*q**3. Let l(g) = -3*g + 1. Let y be l(1). Let a be (-1 - 0)*y/(-2). Calculate t(a).\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 4 u when four letters picked without replacement from uuunnucncncnnuc.\n' | b'1/273\n' | b'Calculate prob of picking 4 u when four letters picked without replacement from uuunnucncncnnuc.\n' | b'1/273\n' | deepmind/math_dataset |
b'Let c(z) be the second derivative of -2/3*z**3 + 55*z + 3*z**2 + 0. Give c(-8).\n' | b'38\n' | b'Let c(z) be the second derivative of -2/3*z**3 + 55*z + 3*z**2 + 0. Give c(-8).\n' | b'38\n' | deepmind/math_dataset |
b'Let t(s) = -s + 15. Let w be t(13). Find the second derivative of -38*d**3 - w*d + 2*d + 6*d + 3*d wrt d.\n' | b'-228*d\n' | b'Let t(s) = -s + 15. Let w be t(13). Find the second derivative of -38*d**3 - w*d + 2*d + 6*d + 3*d wrt d.\n' | b'-228*d\n' | deepmind/math_dataset |
b'Let j be (-2)/(-4)*(2 + 2). Suppose -9*w = -226 - 35. Find the second derivative of -26*d + w*d - j*d**4 + 3*d**4 wrt d.\n' | b'12*d**2\n' | b'Let j be (-2)/(-4)*(2 + 2). Suppose -9*w = -226 - 35. Find the second derivative of -26*d + w*d - j*d**4 + 3*d**4 wrt d.\n' | b'12*d**2\n' | deepmind/math_dataset |
b'Let j = -3285 + 3285. Let b(m) be the second derivative of 1/12*m**4 + j*m**2 + 3/2*m**3 + 0 - 5*m. What is the second derivative of b(x) wrt x?\n' | b'2\n' | b'Let j = -3285 + 3285. Let b(m) be the second derivative of 1/12*m**4 + j*m**2 + 3/2*m**3 + 0 - 5*m. What is the second derivative of b(x) wrt x?\n' | b'2\n' | deepmind/math_dataset |
b'Let w(y) be the second derivative of 3*y**5/20 + y**4/2 - y**3/3 + 7*y**2/2 + 84*y. Find the second derivative of w(x) wrt x.\n' | b'18*x + 12\n' | b'Let w(y) be the second derivative of 3*y**5/20 + y**4/2 - y**3/3 + 7*y**2/2 + 84*y. Find the second derivative of w(x) wrt x.\n' | b'18*x + 12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {f: 2, t: 8}. Give prob of sequence ft.\n' | b'8/45\n' | b'Two letters picked without replacement from {f: 2, t: 8}. Give prob of sequence ft.\n' | b'8/45\n' | deepmind/math_dataset |
b'Let r(y) = y**2 - 4*y. Let g(d) = -d**2 + 4*d + 1. Let j(m) = -4*g(m) - 3*r(m). Give j(7).\n' | b'17\n' | b'Let r(y) = y**2 - 4*y. Let g(d) = -d**2 + 4*d + 1. Let j(m) = -4*g(m) - 3*r(m). Give j(7).\n' | b'17\n' | deepmind/math_dataset |
b'Calculate prob of sequence nnv when three letters picked without replacement from nnvvnvvvvnvnvvvvvnn.\n' | b'28/323\n' | b'Calculate prob of sequence nnv when three letters picked without replacement from nnvvnvvvvnvnvvvvvnn.\n' | b'28/323\n' | deepmind/math_dataset |
b'Differentiate 2*a**2 - 3*a**2 - 178*a**3 - 17*a + 679 + 120*a**3 + 14*a - 214*a**3 with respect to a.\n' | b'-816*a**2 - 2*a - 3\n' | b'Differentiate 2*a**2 - 3*a**2 - 178*a**3 - 17*a + 679 + 120*a**3 + 14*a - 214*a**3 with respect to a.\n' | b'-816*a**2 - 2*a - 3\n' | deepmind/math_dataset |
b'Let j(d) = d**2 - d - 2. Let h(c) = c**3 - 10*c**2 + 5*c - 2. Let a be h(10). Suppose -16*r + a = -8*r. Suppose -5*k - r = -7*k. Determine j(k).\n' | b'4\n' | b'Let j(d) = d**2 - d - 2. Let h(c) = c**3 - 10*c**2 + 5*c - 2. Let a be h(10). Suppose -16*r + a = -8*r. Suppose -5*k - r = -7*k. Determine j(k).\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ljgjjggojjjlgllg. Give prob of sequence jl.\n' | b'1/10\n' | b'Two letters picked without replacement from ljgjjggojjjlgllg. Give prob of sequence jl.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qggq. What is prob of sequence gqq?\n' | b'1/6\n' | b'Three letters picked without replacement from qggq. What is prob of sequence gqq?\n' | b'1/6\n' | deepmind/math_dataset |
b'Let q = -7 + 12. Suppose -4*n - 16 - 4 = 0, -n = 5*t + q. Let w be t + (-2 + 3)*0. Solve w = 5*s + 5*r + 10, 0*s = s - 5*r - 28 for s.\n' | b'3\n' | b'Let q = -7 + 12. Suppose -4*n - 16 - 4 = 0, -n = 5*t + q. Let w be t + (-2 + 3)*0. Solve w = 5*s + 5*r + 10, 0*s = s - 5*r - 28 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Let o(c) = -c**3 + 15*c**2 + 2. Let a be o(15). Suppose 3*w = w - a. Let s be (-126)/(-30) - w/(-5). Solve -5*v + 3*h - 2 = 24, -h = -s*v - 18 for v.\n' | b'-4\n' | b'Let o(c) = -c**3 + 15*c**2 + 2. Let a be o(15). Suppose 3*w = w - a. Let s be (-126)/(-30) - w/(-5). Solve -5*v + 3*h - 2 = 24, -h = -s*v - 18 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Let m = 13 - 10. Solve 0 = -m*f + 4*o - o, -3*o = 3*f - 18 for f.\n' | b'3\n' | b'Let m = 13 - 10. Solve 0 = -m*f + 4*o - o, -3*o = 3*f - 18 for f.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 4*t + 6 = t, -2*t - 13 = -3*r. Let c = -27 + 28. Let x be (-4)/(-6)*r/c. Solve 0 = -x*j - 3*h + 22, -h - 20 = -6*h for j.\n' | b'5\n' | b'Suppose 4*t + 6 = t, -2*t - 13 = -3*r. Let c = -27 + 28. Let x be (-4)/(-6)*r/c. Solve 0 = -x*j - 3*h + 22, -h - 20 = -6*h for j.\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 d and 1 f when two letters picked without replacement from ddddddfdfdddddffddd.\n' | b'20/57\n' | b'Calculate prob of picking 1 d and 1 f when two letters picked without replacement from ddddddfdfdddddffddd.\n' | b'20/57\n' | deepmind/math_dataset |
b'Let j(v) be the second derivative of -568*v**4/3 + 1087*v**2 + 3360*v. What is the derivative of j(w) wrt w?\n' | b'-4544*w\n' | b'Let j(v) be the second derivative of -568*v**4/3 + 1087*v**2 + 3360*v. What is the derivative of j(w) wrt w?\n' | b'-4544*w\n' | deepmind/math_dataset |
b'What is prob of sequence izig when four letters picked without replacement from iiliizlglizizzlllzi?\n' | b'35/15504\n' | b'What is prob of sequence izig when four letters picked without replacement from iiliizlglizizzlllzi?\n' | b'35/15504\n' | deepmind/math_dataset |
b'Let m be -2*2/8*(15 + -19). Solve -14*s + m*g - 48 = 0, 2*g - 2 = 4 for s.\n' | b'-3\n' | b'Let m be -2*2/8*(15 + -19). Solve -14*s + m*g - 48 = 0, 2*g - 2 = 4 for s.\n' | b'-3\n' | deepmind/math_dataset |
b'Let f be ((-2)/5)/(25/(-500)). Let w be 75/(-4) + 2/(-8). Let l(b) = b + 19. Let x be l(w). Solve -5*n + 2*t - 7 = x, -f = 2*n + n - 5*t for n.\n' | b'-1\n' | b'Let f be ((-2)/5)/(25/(-500)). Let w be 75/(-4) + 2/(-8). Let l(b) = b + 19. Let x be l(w). Solve -5*n + 2*t - 7 = x, -f = 2*n + n - 5*t for n.\n' | b'-1\n' | deepmind/math_dataset |
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