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'Three letters picked without replacement from cococccoorr. Give prob of picking 2 c and 1 o.\n' | b'8/33\n' | b'Three letters picked without replacement from cococccoorr. Give prob of picking 2 c and 1 o.\n' | b'8/33\n' | deepmind/math_dataset |
b'Suppose -28 = -20*k + 12. What is the second derivative of n**k - 7*n + 28*n**2 - 165*n**2 - 6*n wrt n?\n' | b'-272\n' | b'Suppose -28 = -20*k + 12. What is the second derivative of n**k - 7*n + 28*n**2 - 165*n**2 - 6*n wrt n?\n' | b'-272\n' | deepmind/math_dataset |
b'Simplify (((p*p*p/p**(-4)*p*p)**(-15))**(-1/7))**(2/21) assuming p is positive.\n' | b'p**(90/49)\n' | b'Simplify (((p*p*p/p**(-4)*p*p)**(-15))**(-1/7))**(2/21) assuming p is positive.\n' | b'p**(90/49)\n' | deepmind/math_dataset |
b'Let n(f) = 3*f**2 + f + 6. Let m(a) = -8*a**2 - 3*a - 17. Let d = -25 + 42. Let r(b) = d*n(b) + 6*m(b). Find the second derivative of r(p) wrt p.\n' | b'6\n' | b'Let n(f) = 3*f**2 + f + 6. Let m(a) = -8*a**2 - 3*a - 17. Let d = -25 + 42. Let r(b) = d*n(b) + 6*m(b). Find the second derivative of r(p) wrt p.\n' | b'6\n' | deepmind/math_dataset |
b'Suppose 4 = -10*l + 12*l. What is the third derivative of 10*x**l + 0*x**2 - 8*x - 9*x**4 + 8*x wrt x?\n' | b'-216*x\n' | b'Suppose 4 = -10*l + 12*l. What is the third derivative of 10*x**l + 0*x**2 - 8*x - 9*x**4 + 8*x wrt x?\n' | b'-216*x\n' | deepmind/math_dataset |
b'Simplify ((m**(2/63))**(-29))**2 assuming m is positive.\n' | b'm**(-116/63)\n' | b'Simplify ((m**(2/63))**(-29))**2 assuming m is positive.\n' | b'm**(-116/63)\n' | deepmind/math_dataset |
b'Suppose -5*p - 10 = 0, 37 = 5*a - 3*p + 1. Let y be (-4)/a + (-30)/9. Let j be (-12)/(-2)*(-2)/y. Solve -5 = 5*x + 5*l, 2*x + 3*l + j = 2*l for x.\n' | b'-2\n' | b'Suppose -5*p - 10 = 0, 37 = 5*a - 3*p + 1. Let y be (-4)/a + (-30)/9. Let j be (-12)/(-2)*(-2)/y. Solve -5 = 5*x + 5*l, 2*x + 3*l + j = 2*l for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(h) = -8*h + 45. Let x be (0 + -3)*17/((-85)/10). Calculate i(x).\n' | b'-3\n' | b'Let i(h) = -8*h + 45. Let x be (0 + -3)*17/((-85)/10). Calculate i(x).\n' | b'-3\n' | deepmind/math_dataset |
b'What is prob of picking 2 b and 1 i when three letters picked without replacement from {b: 6, i: 4}?\n' | b'1/2\n' | b'What is prob of picking 2 b and 1 i when three letters picked without replacement from {b: 6, i: 4}?\n' | b'1/2\n' | deepmind/math_dataset |
b'Simplify (c/((c/c**(-20/3))/c)*c**35)/((c/c**(-2/63))/c**(-38)) assuming c is positive.\n' | b'c**(-611/63)\n' | b'Simplify (c/((c/c**(-20/3))/c)*c**35)/((c/c**(-2/63))/c**(-38)) assuming c is positive.\n' | b'c**(-611/63)\n' | deepmind/math_dataset |
b'Let c(n) be the second derivative of -n**4/8 + 7*n**3/3 - 3*n**2 + 14*n. Let o(a) be the first derivative of c(a). Find the first derivative of o(i) wrt i.\n' | b'-3\n' | b'Let c(n) be the second derivative of -n**4/8 + 7*n**3/3 - 3*n**2 + 14*n. Let o(a) be the first derivative of c(a). Find the first derivative of o(i) wrt i.\n' | b'-3\n' | deepmind/math_dataset |
b'Let l(s) be the third derivative of -s**7/210 + s**5/15 - 13*s**3/2 + 29*s**2. Find the first derivative of l(q) wrt q.\n' | b'-4*q**3 + 8*q\n' | b'Let l(s) be the third derivative of -s**7/210 + s**5/15 - 13*s**3/2 + 29*s**2. Find the first derivative of l(q) wrt q.\n' | b'-4*q**3 + 8*q\n' | deepmind/math_dataset |
b'Suppose -2*i = -1 - 9. Suppose 3*y = -q + i, -4*y = y + 2*q - 7. What is the second derivative of 5*f**y + f**2 + 5*f**3 - f**2 + 6*f wrt f?\n' | b'60*f\n' | b'Suppose -2*i = -1 - 9. Suppose 3*y = -q + i, -4*y = y + 2*q - 7. What is the second derivative of 5*f**y + f**2 + 5*f**3 - f**2 + 6*f wrt f?\n' | b'60*f\n' | deepmind/math_dataset |
b'Let h(m) be the second derivative of 2/5*m**5 + 1/12*m**4 + 0 + 227*m + 0*m**3 + 16*m**2. What is the third derivative of h(l) wrt l?\n' | b'48\n' | b'Let h(m) be the second derivative of 2/5*m**5 + 1/12*m**4 + 0 + 227*m + 0*m**3 + 16*m**2. What is the third derivative of h(l) wrt l?\n' | b'48\n' | deepmind/math_dataset |
b'Let v be 2/8 + (195/4)/13. Suppose 18*k - 17*k = v*s - 8, -4*s = 3*k - 24. Let b = 14 + -10. Solve 2*w = -w - 2*d + 7, s*w + 23 = b*d for w.\n' | b'-1\n' | b'Let v be 2/8 + (195/4)/13. Suppose 18*k - 17*k = v*s - 8, -4*s = 3*k - 24. Let b = 14 + -10. Solve 2*w = -w - 2*d + 7, s*w + 23 = b*d for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 3, n: 5, y: 7, q: 2}. Give prob of sequence ynnn.\n' | b'1/136\n' | b'Four letters picked without replacement from {h: 3, n: 5, y: 7, q: 2}. Give prob of sequence ynnn.\n' | b'1/136\n' | deepmind/math_dataset |
b'Let t = -43 + 39. Let b be ((8/(-1))/t)/(-3 + 5). Solve -5*m - 2*k = k - 11, -k = -m - b for m.\n' | b'1\n' | b'Let t = -43 + 39. Let b be ((8/(-1))/t)/(-3 + 5). Solve -5*m - 2*k = k - 11, -k = -m - b for m.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (j**2/j**0)/(((j*((j*j**1)/j)/j*j*j*j)/j)/(j**(-2)*j)) assuming j is positive.\n' | b'j**(-2)\n' | b'Simplify (j**2/j**0)/(((j*((j*j**1)/j)/j*j*j*j)/j)/(j**(-2)*j)) assuming j is positive.\n' | b'j**(-2)\n' | deepmind/math_dataset |
b'Simplify ((d/(d**0*d))**(1/29))**7 assuming d is positive.\n' | b'1\n' | b'Simplify ((d/(d**0*d))**(1/29))**7 assuming d is positive.\n' | b'1\n' | deepmind/math_dataset |
b'Let v(y) be the first derivative of -y**4/4 + 5*y**3/3 - 5. Let k be v(5). Solve -3*f + 28 = 5*c, 2*c = f - k*c + 9 for f.\n' | b'1\n' | b'Let v(y) be the first derivative of -y**4/4 + 5*y**3/3 - 5. Let k be v(5). Solve -3*f + 28 = 5*c, 2*c = f - k*c + 9 for f.\n' | b'1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 1, q: 3, r: 5, l: 6, i: 3}. Give prob of picking 1 y and 1 q.\n' | b'1/51\n' | b'Two letters picked without replacement from {y: 1, q: 3, r: 5, l: 6, i: 3}. Give prob of picking 1 y and 1 q.\n' | b'1/51\n' | deepmind/math_dataset |
b'Three letters picked without replacement from vauvavaaauyvvuzvvvvv. What is prob of picking 2 u and 1 z?\n' | b'1/380\n' | b'Three letters picked without replacement from vauvavaaauyvvuzvvvvv. What is prob of picking 2 u and 1 z?\n' | b'1/380\n' | deepmind/math_dataset |
b'Let k(l) = l**2 + 3*l - 15. Let f be k(-6). What is the third derivative of -5*a**4 - f*a**2 + 6*a**2 + 0*a**4 + 7*a**2 wrt a?\n' | b'-120*a\n' | b'Let k(l) = l**2 + 3*l - 15. Let f be k(-6). What is the third derivative of -5*a**4 - f*a**2 + 6*a**2 + 0*a**4 + 7*a**2 wrt a?\n' | b'-120*a\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 3, s: 3, i: 5, b: 2, x: 3, h: 3}. Give prob of picking 2 x and 1 i.\n' | b'5/323\n' | b'Three letters picked without replacement from {j: 3, s: 3, i: 5, b: 2, x: 3, h: 3}. Give prob of picking 2 x and 1 i.\n' | b'5/323\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 1, s: 1, p: 4, v: 4, u: 1, f: 1}. Give prob of sequence vu.\n' | b'1/33\n' | b'Two letters picked without replacement from {h: 1, s: 1, p: 4, v: 4, u: 1, f: 1}. Give prob of sequence vu.\n' | b'1/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence whh when three letters picked without replacement from {o: 6, n: 1, w: 1, h: 11}.\n' | b'55/2907\n' | b'Calculate prob of sequence whh when three letters picked without replacement from {o: 6, n: 1, w: 1, h: 11}.\n' | b'55/2907\n' | deepmind/math_dataset |
b'What is prob of picking 1 f and 3 z when four letters picked without replacement from {f: 10, u: 1, n: 2, z: 3}?\n' | b'1/182\n' | b'What is prob of picking 1 f and 3 z when four letters picked without replacement from {f: 10, u: 1, n: 2, z: 3}?\n' | b'1/182\n' | deepmind/math_dataset |
b'Suppose -3*s + 8 = -1. Let a(m) = 4*m**2 - 3*m + 1. Let v(x) = 5*x**2 - 2*x + 1. Let t(o) = s*v(o) - 4*a(o). Determine t(5).\n' | b'4\n' | b'Suppose -3*s + 8 = -1. Let a(m) = 4*m**2 - 3*m + 1. Let v(x) = 5*x**2 - 2*x + 1. Let t(o) = s*v(o) - 4*a(o). Determine t(5).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence udhh when four letters picked without replacement from yjdhkjjddhju.\n' | b'1/1980\n' | b'Calculate prob of sequence udhh when four letters picked without replacement from yjdhkjjddhju.\n' | b'1/1980\n' | deepmind/math_dataset |
b'Simplify ((c**(1/2))**(-4/15)*c**5*(c**7/c)/c)**(2/35) assuming c is positive.\n' | b'c**(296/525)\n' | b'Simplify ((c**(1/2))**(-4/15)*c**5*(c**7/c)/c)**(2/35) assuming c is positive.\n' | b'c**(296/525)\n' | deepmind/math_dataset |
b'Simplify ((y*y*y/y**6)/(((((y**(2/5)*y)/y*y)/y)/y)/y*y)*(y/y**1*y)**(-6/11))/((y/(y**(-1/4)*y))/(y/(y*y*y**(-7)*y))*y**(2/7)*y**(-3/2)) assuming y is positive.\n' | b'y**(4649/1540)\n' | b'Simplify ((y*y*y/y**6)/(((((y**(2/5)*y)/y*y)/y)/y)/y*y)*(y/y**1*y)**(-6/11))/((y/(y**(-1/4)*y))/(y/(y*y*y**(-7)*y))*y**(2/7)*y**(-3/2)) assuming y is positive.\n' | b'y**(4649/1540)\n' | deepmind/math_dataset |
b'Let j = 296 - 289. Solve -4*u + 12 = -5*v, 3*u + 12 = j*u for v.\n' | b'0\n' | b'Let j = 296 - 289. Solve -4*u + 12 = -5*v, 3*u + 12 = j*u for v.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, u: 8, n: 1, j: 3, w: 1, t: 5}. Give prob of sequence tu.\n' | b'2/19\n' | b'Two letters picked without replacement from {q: 2, u: 8, n: 1, j: 3, w: 1, t: 5}. Give prob of sequence tu.\n' | b'2/19\n' | deepmind/math_dataset |
b'Let a(v) = -v**3 + 11*v**2 + 0*v**3 + 64 - 3*v - 4*v**2 - 56. Give a(7).\n' | b'-13\n' | b'Let a(v) = -v**3 + 11*v**2 + 0*v**3 + 64 - 3*v - 4*v**2 - 56. Give a(7).\n' | b'-13\n' | deepmind/math_dataset |
b'What is prob of sequence uwuw when four letters picked without replacement from {u: 5, w: 2}?\n' | b'1/21\n' | b'What is prob of sequence uwuw when four letters picked without replacement from {u: 5, w: 2}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from bbltbtxxtblxbbttb. What is prob of picking 2 x?\n' | b'3/136\n' | b'Two letters picked without replacement from bbltbtxxtblxbbttb. What is prob of picking 2 x?\n' | b'3/136\n' | deepmind/math_dataset |
b'Let l(y) be the first derivative of -1/2*y**2 - 13*y - 129. What is l(-5)?\n' | b'-8\n' | b'Let l(y) be the first derivative of -1/2*y**2 - 13*y - 129. What is l(-5)?\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of sequence ym when two letters picked without replacement from suyffyyymmmfmummy.\n' | b'15/136\n' | b'Calculate prob of sequence ym when two letters picked without replacement from suyffyyymmmfmummy.\n' | b'15/136\n' | deepmind/math_dataset |
b'Let r(j) be the third derivative of -4*j**7/105 + 7*j**4/24 + 7*j**2. What is the second derivative of r(a) wrt a?\n' | b'-96*a**2\n' | b'Let r(j) be the third derivative of -4*j**7/105 + 7*j**4/24 + 7*j**2. What is the second derivative of r(a) wrt a?\n' | b'-96*a**2\n' | deepmind/math_dataset |
b'Suppose 4*t + 3 - 11 = 0. What is the third derivative of b**2 - 2*b**2 - 2*b**5 + t*b**2 + b**5 wrt b?\n' | b'-60*b**2\n' | b'Suppose 4*t + 3 - 11 = 0. What is the third derivative of b**2 - 2*b**2 - 2*b**5 + t*b**2 + b**5 wrt b?\n' | b'-60*b**2\n' | deepmind/math_dataset |
b'Suppose -30 = -5*w - 0. Let x(q) = -5*q - q**3 - w*q**2 - 3 - 5*q + 4*q. Calculate x(-5).\n' | b'2\n' | b'Suppose -30 = -5*w - 0. Let x(q) = -5*q - q**3 - w*q**2 - 3 - 5*q + 4*q. Calculate x(-5).\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence eef when three letters picked without replacement from {x: 1, f: 1, e: 2, w: 9}?\n' | b'1/858\n' | b'What is prob of sequence eef when three letters picked without replacement from {x: 1, f: 1, e: 2, w: 9}?\n' | b'1/858\n' | deepmind/math_dataset |
b'What is prob of picking 1 a and 1 b when two letters picked without replacement from bbaaaaba?\n' | b'15/28\n' | b'What is prob of picking 1 a and 1 b when two letters picked without replacement from bbaaaaba?\n' | b'15/28\n' | deepmind/math_dataset |
b'Simplify q**11*q**(-3/19)*(q/q**(1/3))**10 assuming q is positive.\n' | b'q**(998/57)\n' | b'Simplify q**11*q**(-3/19)*(q/q**(1/3))**10 assuming q is positive.\n' | b'q**(998/57)\n' | deepmind/math_dataset |
b'Let f(t) = t**2 + t - 10. Let m be 1 + -3 + (-2)/1. Let o = -4 - m. Suppose -k - 4*k = o. What is f(k)?\n' | b'-10\n' | b'Let f(t) = t**2 + t - 10. Let m be 1 + -3 + (-2)/1. Let o = -4 - m. Suppose -k - 4*k = o. What is f(k)?\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (q/q**4)/((q**2/q)/q) assuming q is positive.\n' | b'q**(-3)\n' | b'Simplify (q/q**4)/((q**2/q)/q) assuming q is positive.\n' | b'q**(-3)\n' | deepmind/math_dataset |
b'Let z be (12/8)/(2/4). Solve z*t = 2*p - 20, -2*t = 3*p - 4*p + 12 for t.\n' | b'-4\n' | b'Let z be (12/8)/(2/4). Solve z*t = 2*p - 20, -2*t = 3*p - 4*p + 12 for t.\n' | b'-4\n' | deepmind/math_dataset |
b'Let l be ((-3)/2)/(6/8)*-2. Suppose 2*w = w + 3. Suppose 5*g = 5*j - w + 18, 0 = 2*g - 3*j - l. Let u(k) = -k**3 + 6*k**2 - 8*k + 6. Calculate u(g).\n' | b'-9\n' | b'Let l be ((-3)/2)/(6/8)*-2. Suppose 2*w = w + 3. Suppose 5*g = 5*j - w + 18, 0 = 2*g - 3*j - l. Let u(k) = -k**3 + 6*k**2 - 8*k + 6. Calculate u(g).\n' | b'-9\n' | deepmind/math_dataset |
b'Let l(c) = 9*c + 300. Let h be l(-31). Solve -3*u - 8 = 2*k - 6*k, 5*u = -k - h for u.\n' | b'-4\n' | b'Let l(c) = 9*c + 300. Let h be l(-31). Solve -3*u - 8 = 2*k - 6*k, 5*u = -k - h for u.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, d: 1, h: 3, q: 2, p: 3, i: 1}. Give prob of sequence hq.\n' | b'3/55\n' | b'Two letters picked without replacement from {e: 1, d: 1, h: 3, q: 2, p: 3, i: 1}. Give prob of sequence hq.\n' | b'3/55\n' | deepmind/math_dataset |
b'Let b = -938 + 942. Solve 0 = 5*v + b*k - 6 + 26, 5 = -v - k for v.\n' | b'0\n' | b'Let b = -938 + 942. Solve 0 = 5*v + b*k - 6 + 26, 5 = -v - k for v.\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {u: 4, z: 1, v: 8, o: 2}.\n' | b'12/455\n' | b'Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {u: 4, z: 1, v: 8, o: 2}.\n' | b'12/455\n' | deepmind/math_dataset |
b'What is prob of picking 2 y when two letters picked without replacement from yyy?\n' | b'1\n' | b'What is prob of picking 2 y when two letters picked without replacement from yyy?\n' | b'1\n' | deepmind/math_dataset |
b'Simplify r**(-1/10)*r**(-4)/r assuming r is positive.\n' | b'r**(-51/10)\n' | b'Simplify r**(-1/10)*r**(-4)/r assuming r is positive.\n' | b'r**(-51/10)\n' | deepmind/math_dataset |
b'What is prob of sequence xxoh when four letters picked without replacement from ooxxopxxoohxxx?\n' | b'5/572\n' | b'What is prob of sequence xxoh when four letters picked without replacement from ooxxopxxoohxxx?\n' | b'5/572\n' | deepmind/math_dataset |
b'Simplify y/(y**(-4)*y*y)*y/((y/(y*y*y/y**6*y))/y)*(y/((y**(-1)/y)/y)*y)**48 assuming y is positive.\n' | b'y**242\n' | b'Simplify y/(y**(-4)*y*y)*y/((y/(y*y*y/y**6*y))/y)*(y/((y**(-1)/y)/y)*y)**48 assuming y is positive.\n' | b'y**242\n' | deepmind/math_dataset |
b'Calculate prob of sequence aaaa when four letters picked without replacement from {a: 7}.\n' | b'1\n' | b'Calculate prob of sequence aaaa when four letters picked without replacement from {a: 7}.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -5*d - 35 = -0*d. Let l = -13 - -4. Let r = d - l. Solve 0 = 5*y + 4*t + 2, 3*y - r = -2*t - 4 for y.\n' | b'-2\n' | b'Suppose -5*d - 35 = -0*d. Let l = -13 - -4. Let r = d - l. Solve 0 = 5*y + 4*t + 2, 3*y - r = -2*t - 4 for y.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 2 y and 2 o when four letters picked without replacement from {o: 9, y: 2}?\n' | b'6/55\n' | b'What is prob of picking 2 y and 2 o when four letters picked without replacement from {o: 9, y: 2}?\n' | b'6/55\n' | deepmind/math_dataset |
b'Let b(h) = -2*h**2 + 0*h**2 + 36*h**3 + 1 - 5*h**3. Give b(-1).\n' | b'-32\n' | b'Let b(h) = -2*h**2 + 0*h**2 + 36*h**3 + 1 - 5*h**3. Give b(-1).\n' | b'-32\n' | deepmind/math_dataset |
b'Let q(o) = o + 26. Let v be q(18). Find the first derivative of -23*f**3 - v + 105 - 39 wrt f.\n' | b'-69*f**2\n' | b'Let q(o) = o + 26. Let v be q(18). Find the first derivative of -23*f**3 - v + 105 - 39 wrt f.\n' | b'-69*f**2\n' | deepmind/math_dataset |
b'Suppose 2*z - s + 11 - 26 = 0, 4*s = -z - 24. Solve t + 5 = -5*m + 34, -z*m + 20 = 4*t for t.\n' | b'-1\n' | b'Suppose 2*z - s + 11 - 26 = 0, 4*s = -z - 24. Solve t + 5 = -5*m + 34, -z*m + 20 = 4*t for t.\n' | b'-1\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 10}. What is prob of picking 2 d?\n' | b'1\n' | b'Two letters picked without replacement from {d: 10}. What is prob of picking 2 d?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 1 y when three letters picked without replacement from {y: 1, b: 1, h: 1, r: 2, i: 2}?\n' | b'1/35\n' | b'What is prob of picking 2 r and 1 y when three letters picked without replacement from {y: 1, b: 1, h: 1, r: 2, i: 2}?\n' | b'1/35\n' | deepmind/math_dataset |
b'Let w(q) = -q + 21. Suppose -2*x + 5*t + 12 = 0, 3*x + 3*x + 2*t - 36 = 0. Determine w(x).\n' | b'15\n' | b'Let w(q) = -q + 21. Suppose -2*x + 5*t + 12 = 0, 3*x + 3*x + 2*t - 36 = 0. Determine w(x).\n' | b'15\n' | deepmind/math_dataset |
b'Let m(k) = -k**4 + 2*k**2 - 1. Let h(u) = -19*u**4 + 11*u**3 - 152*u**2 - 6. Let z(c) = -h(c) + 6*m(c). Find the third derivative of z(x) wrt x.\n' | b'312*x - 66\n' | b'Let m(k) = -k**4 + 2*k**2 - 1. Let h(u) = -19*u**4 + 11*u**3 - 152*u**2 - 6. Let z(c) = -h(c) + 6*m(c). Find the third derivative of z(x) wrt x.\n' | b'312*x - 66\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 2, q: 6, x: 2, j: 1, o: 7}. What is prob of sequence jd?\n' | b'1/153\n' | b'Two letters picked without replacement from {d: 2, q: 6, x: 2, j: 1, o: 7}. What is prob of sequence jd?\n' | b'1/153\n' | deepmind/math_dataset |
b'Suppose -5*m - 2*c + 19 = c, 0 = -3*c - 6. Suppose -f = -4*x + 48, 6*f - 85 = -m*x + f. What is the second derivative of -68*o - 44*o + x*o**3 + 128*o wrt o?\n' | b'78*o\n' | b'Suppose -5*m - 2*c + 19 = c, 0 = -3*c - 6. Suppose -f = -4*x + 48, 6*f - 85 = -m*x + f. What is the second derivative of -68*o - 44*o + x*o**3 + 128*o wrt o?\n' | b'78*o\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 f, 1 o, and 1 q when three letters picked without replacement from ffoofqofqf.\n' | b'1/4\n' | b'Calculate prob of picking 1 f, 1 o, and 1 q when three letters picked without replacement from ffoofqofqf.\n' | b'1/4\n' | deepmind/math_dataset |
b'Let i(y) be the third derivative of y**5/60 - y**3/3 + 5*y**2. Let s be i(-2). Solve 0 = 5*z + o - 5, -5*z + o + s*o = -25 for z.\n' | b'2\n' | b'Let i(y) be the third derivative of y**5/60 - y**3/3 + 5*y**2. Let s be i(-2). Solve 0 = 5*z + o - 5, -5*z + o + s*o = -25 for z.\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nnrjnqqqqwffq. What is prob of picking 1 f and 1 n?\n' | b'1/13\n' | b'Two letters picked without replacement from nnrjnqqqqwffq. What is prob of picking 1 f and 1 n?\n' | b'1/13\n' | deepmind/math_dataset |
b'Let s(i) = -2*i - 16. Let u be 1/((-1)/(-4)) + (-11295)/(-45). Let h be ((-204)/u)/(1/10). What is s(h)?\n' | b'0\n' | b'Let s(i) = -2*i - 16. Let u be 1/((-1)/(-4)) + (-11295)/(-45). Let h be ((-204)/u)/(1/10). What is s(h)?\n' | b'0\n' | deepmind/math_dataset |
b'Let j(p) be the third derivative of -643*p**5/60 + 59*p**4/4 - 6*p**2 - 17*p. Find the second derivative of j(h) wrt h.\n' | b'-1286\n' | b'Let j(p) be the third derivative of -643*p**5/60 + 59*p**4/4 - 6*p**2 - 17*p. Find the second derivative of j(h) wrt h.\n' | b'-1286\n' | deepmind/math_dataset |
b'Let n(i) = 3*i - 12. Let s be n(5). Let k = -85 - -87. Let l(o) = -2 + 11*o**k + 6 - 10*o**2 - 2. What is l(s)?\n' | b'11\n' | b'Let n(i) = 3*i - 12. Let s be n(5). Let k = -85 - -87. Let l(o) = -2 + 11*o**k + 6 - 10*o**2 - 2. What is l(s)?\n' | b'11\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {v: 3, y: 2}. Give prob of picking 2 v and 1 y.\n' | b'3/5\n' | b'Three letters picked without replacement from {v: 3, y: 2}. Give prob of picking 2 v and 1 y.\n' | b'3/5\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 1 o when two letters picked without replacement from jojjssojs.\n' | b'1/6\n' | b'Calculate prob of picking 1 s and 1 o when two letters picked without replacement from jojjssojs.\n' | b'1/6\n' | deepmind/math_dataset |
b'Suppose 11*m = 172 + 587. Let p = 66 - m. Let h(y) = y**2 + 2*y - 4. What is h(p)?\n' | b'-1\n' | b'Suppose 11*m = 172 + 587. Let p = 66 - m. Let h(y) = y**2 + 2*y - 4. What is h(p)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify g*g**(-24/11)/g*g*g/g**(9/2) assuming g is positive.\n' | b'g**(-103/22)\n' | b'Simplify g*g**(-24/11)/g*g*g/g**(9/2) assuming g is positive.\n' | b'g**(-103/22)\n' | deepmind/math_dataset |
b'Let p be 2*(-9)/(-3) - -11. Suppose 13*x - p - 22 = 0. Suppose 20 = 4*j + j. Solve x*d - 12 = 0, -i + 2*i - j*d = -16 for i.\n' | b'0\n' | b'Let p be 2*(-9)/(-3) - -11. Suppose 13*x - p - 22 = 0. Suppose 20 = 4*j + j. Solve x*d - 12 = 0, -i + 2*i - j*d = -16 for i.\n' | b'0\n' | deepmind/math_dataset |
b'Let s(b) = -b**2 - 6*b + 16. Let f be s(-8). Solve 4*r + f*d = 5*d + 9, -4*r + 2*d = -6 for r.\n' | b'1\n' | b'Let s(b) = -b**2 - 6*b + 16. Let f be s(-8). Solve 4*r + f*d = 5*d + 9, -4*r + 2*d = -6 for r.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (m*m**1)/((m*m*(m**(-5)/m)/m)/m)*(m*m**(2/5))/m**(-1/11)*(m**(1/2))**30*(m/(m**0*m*m))/((m*m*m*m**(-6)*m)/m) assuming m is positive.\n' | b'm**(1457/55)\n' | b'Simplify (m*m**1)/((m*m*(m**(-5)/m)/m)/m)*(m*m**(2/5))/m**(-1/11)*(m**(1/2))**30*(m/(m**0*m*m))/((m*m*m*m**(-6)*m)/m) assuming m is positive.\n' | b'm**(1457/55)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from unnihihhin. Give prob of sequence inn.\n' | b'1/40\n' | b'Three letters picked without replacement from unnihihhin. Give prob of sequence inn.\n' | b'1/40\n' | deepmind/math_dataset |
b'Suppose -4*t + 2 = -6. Let o(p) = -p + 15. Let d be o(11). Find the third derivative of w - 2*w**t - w + w**3 - d*w**3 wrt w.\n' | b'-18\n' | b'Suppose -4*t + 2 = -6. Let o(p) = -p + 15. Let d be o(11). Find the third derivative of w - 2*w**t - w + w**3 - d*w**3 wrt w.\n' | b'-18\n' | deepmind/math_dataset |
b'Let w(q) = -q**3 - 9*q**2 - 8*q - 2. Suppose 0*m - 4*m - 32 = 4*b, 3*b - 5*m = 8. What is w(b)?\n' | b'-50\n' | b'Let w(q) = -q**3 - 9*q**2 - 8*q - 2. Suppose 0*m - 4*m - 32 = 4*b, 3*b - 5*m = 8. What is w(b)?\n' | b'-50\n' | deepmind/math_dataset |
b'Suppose 115 + 965 = -8*p. Let z be (5/(-3))/(15/p). Solve z = -5*t + 5*x, -3*t + 5*t - 4*x = -16 for t.\n' | b'2\n' | b'Suppose 115 + 965 = -8*p. Let z be (5/(-3))/(15/p). Solve z = -5*t + 5*x, -3*t + 5*t - 4*x = -16 for t.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 i and 3 v when four letters picked without replacement from {v: 4, w: 6, s: 4, i: 1}.\n' | b'4/1365\n' | b'Calculate prob of picking 1 i and 3 v when four letters picked without replacement from {v: 4, w: 6, s: 4, i: 1}.\n' | b'4/1365\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 2 p when three letters picked without replacement from pppq?\n' | b'3/4\n' | b'What is prob of picking 1 q and 2 p when three letters picked without replacement from pppq?\n' | b'3/4\n' | deepmind/math_dataset |
b'Simplify ((c**(-4)*c)/(c/c**2)*c**(1/2)*c*c**3)**34 assuming c is positive.\n' | b'c**85\n' | b'Simplify ((c**(-4)*c)/(c/c**2)*c**(1/2)*c*c**3)**34 assuming c is positive.\n' | b'c**85\n' | deepmind/math_dataset |
b'What is prob of picking 1 s, 1 m, and 1 u when three letters picked without replacement from {u: 6, z: 1, s: 3, j: 2, b: 1, m: 2}?\n' | b'36/455\n' | b'What is prob of picking 1 s, 1 m, and 1 u when three letters picked without replacement from {u: 6, z: 1, s: 3, j: 2, b: 1, m: 2}?\n' | b'36/455\n' | deepmind/math_dataset |
b'Let o(t) = 6*t**3 + t**2 - t. Let q be o(1). Let v(w) = -1 + w**2 - 2*w + q - 2*w**2. What is v(-4)?\n' | b'-3\n' | b'Let o(t) = 6*t**3 + t**2 - t. Let q be o(1). Let v(w) = -1 + w**2 - 2*w + q - 2*w**2. What is v(-4)?\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {s: 1, m: 1, p: 2, h: 5, c: 1, r: 5}.\n' | b'1/21\n' | b'Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {s: 1, m: 1, p: 2, h: 5, c: 1, r: 5}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let u(p) = p**3 + 11*p**2 + 16*p. Let b be u(-6). Let i = b + -62. Let t(n) = -4*n - 12*n**2 + i*n**2 + 5 - 11*n**2. Determine t(-5).\n' | b'0\n' | b'Let u(p) = p**3 + 11*p**2 + 16*p. Let b be u(-6). Let i = b + -62. Let t(n) = -4*n - 12*n**2 + i*n**2 + 5 - 11*n**2. Determine t(-5).\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {y: 2, u: 18}. What is prob of sequence yu?\n' | b'9/95\n' | b'Two letters picked without replacement from {y: 2, u: 18}. What is prob of sequence yu?\n' | b'9/95\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zssyyyayssaayssaasz. Give prob of sequence zza.\n' | b'5/2907\n' | b'Three letters picked without replacement from zssyyyayssaayssaasz. Give prob of sequence zza.\n' | b'5/2907\n' | deepmind/math_dataset |
b'Let d = 35 + -34. Let y(v) = v + 10. Let j be y(-6). Let c(b) = 2*b - 6. Let i be c(j). Solve o + 2*z = -i, -4*z + d - 5 = 4*o for o.\n' | b'0\n' | b'Let d = 35 + -34. Let y(v) = v + 10. Let j be y(-6). Let c(b) = 2*b - 6. Let i be c(j). Solve o + 2*z = -i, -4*z + d - 5 = 4*o for o.\n' | b'0\n' | deepmind/math_dataset |
b'Let w(g) be the second derivative of -g**3/6 - 3*g**2/2 + 4*g. Let u be w(-4). Let p(q) = -3 - 2*q**2 + q**3 - 4*q + 8*q**2 - u - 3*q**2. Determine p(-3).\n' | b'8\n' | b'Let w(g) be the second derivative of -g**3/6 - 3*g**2/2 + 4*g. Let u be w(-4). Let p(q) = -3 - 2*q**2 + q**3 - 4*q + 8*q**2 - u - 3*q**2. Determine p(-3).\n' | b'8\n' | deepmind/math_dataset |
b'Let o = 653/537 + 21/179. Let w(n) be the second derivative of 0 + 3*n + o*n**4 + 3/2*n**3 + 0*n**2. Find the second derivative of w(i) wrt i.\n' | b'32\n' | b'Let o = 653/537 + 21/179. Let w(n) be the second derivative of 0 + 3*n + o*n**4 + 3/2*n**3 + 0*n**2. Find the second derivative of w(i) wrt i.\n' | b'32\n' | deepmind/math_dataset |
b'Simplify (((w*w**(-4)*w)/w)/w**(6/11))**(-4/3)/((w/(w/((w/w**(-5))/w))*w**0*w)/(w**(-2/7))**27) assuming w is positive.\n' | b'w**(-692/77)\n' | b'Simplify (((w*w**(-4)*w)/w)/w**(6/11))**(-4/3)/((w/(w/((w/w**(-5))/w))*w**0*w)/(w**(-2/7))**27) assuming w is positive.\n' | b'w**(-692/77)\n' | deepmind/math_dataset |
b'Let a be 572/10 + (-2)/10. Let n be (-228)/(-10)*(-50)/(-20). Find the third derivative of n*k - 4*k**3 - a*k - 5*k**2 wrt k.\n' | b'-24\n' | b'Let a be 572/10 + (-2)/10. Let n be (-228)/(-10)*(-50)/(-20). Find the third derivative of n*k - 4*k**3 - a*k - 5*k**2 wrt k.\n' | b'-24\n' | deepmind/math_dataset |
b'Let m(u) = -2*u**2 - 9*u - 16. Let s(z) = z**3 + z**2 - 9*z + 2. Let w be s(2). Calculate m(w).\n' | b'-12\n' | b'Let m(u) = -2*u**2 - 9*u - 16. Let s(z) = z**3 + z**2 - 9*z + 2. Let w be s(2). Calculate m(w).\n' | b'-12\n' | deepmind/math_dataset |
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