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 u be 1 - (1 - 0)*3. Let q = 7 + u. Let f(i) = 2*i**2 + 3*i - 1 - i**2 + q. Calculate f(-3).\n' | b'4\n' | b'Let u be 1 - (1 - 0)*3. Let q = 7 + u. Let f(i) = 2*i**2 + 3*i - 1 - i**2 + q. Calculate f(-3).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (s**(1/50)*s*s**(-31)*s)**27 assuming s is positive.\n' | b's**(-39123/50)\n' | b'Simplify (s**(1/50)*s*s**(-31)*s)**27 assuming s is positive.\n' | b's**(-39123/50)\n' | deepmind/math_dataset |
b'Simplify (z*z/z**(-2)*z/z**(-1/2)*(z**(1/3)/z*z)**(1/8))**(-1/28) assuming z is positive.\n' | b'z**(-19/96)\n' | b'Simplify (z*z/z**(-2)*z/z**(-1/2)*(z**(1/3)/z*z)**(1/8))**(-1/28) assuming z is positive.\n' | b'z**(-19/96)\n' | deepmind/math_dataset |
b'Suppose u = -4*u + 140. Let x be (-12)/(-2) - (1 - 0). Solve 0 = x*p - g, -2*g + u = 3*p + 3*g for p.\n' | b'1\n' | b'Suppose u = -4*u + 140. Let x be (-12)/(-2) - (1 - 0). Solve 0 = x*p - g, -2*g + u = 3*p + 3*g for p.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence nnyy when four letters picked without replacement from mnymynaimn.\n' | b'1/420\n' | b'Calculate prob of sequence nnyy when four letters picked without replacement from mnymynaimn.\n' | b'1/420\n' | deepmind/math_dataset |
b'Let b(s) = s**2 + 2*s - 15. Let t be b(-5). Let q(p) = -2*p + 2. Give q(t).\n' | b'2\n' | b'Let b(s) = s**2 + 2*s - 15. Let t be b(-5). Let q(p) = -2*p + 2. Give q(t).\n' | b'2\n' | deepmind/math_dataset |
b'Let s be (-1)/(-3) - 1/3. Suppose -5*z + 5 = 5*c, -2*z - c = -s*c. Let w be 1 + z + 0 - -1. Let i(b) = -7*b**2 + 2*b - 1. Calculate i(w).\n' | b'-6\n' | b'Let s be (-1)/(-3) - 1/3. Suppose -5*z + 5 = 5*c, -2*z - c = -s*c. Let w be 1 + z + 0 - -1. Let i(b) = -7*b**2 + 2*b - 1. Calculate i(w).\n' | b'-6\n' | deepmind/math_dataset |
b'Let q(m) be the first derivative of 551*m**6/2 + 155*m**3/3 + 7*m**2 + 1329. Find the third derivative of q(d) wrt d.\n' | b'99180*d**2\n' | b'Let q(m) be the first derivative of 551*m**6/2 + 155*m**3/3 + 7*m**2 + 1329. Find the third derivative of q(d) wrt d.\n' | b'99180*d**2\n' | deepmind/math_dataset |
b'Suppose -49*v + 3312 - 2332 = 0. Solve -2*n - 25 = 5*b + 3*n, 0 = 4*b - 5*n + v for b.\n' | b'-5\n' | b'Suppose -49*v + 3312 - 2332 = 0. Solve -2*n - 25 = 5*b + 3*n, 0 = 4*b - 5*n + v for b.\n' | b'-5\n' | deepmind/math_dataset |
b'Let c be (-1 + 4)/(-1) + (-168)/(-42). Let k be 37/(5/(-10)*c). Let t = k + 89. Solve 0 = -5*n + 3*a - t, -3*a - a = 0 for n.\n' | b'-3\n' | b'Let c be (-1 + 4)/(-1) + (-168)/(-42). Let k be 37/(5/(-10)*c). Let t = k + 89. Solve 0 = -5*n + 3*a - t, -3*a - a = 0 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 2*x - 2*j = 12, 4*j + 15 = 5*x - 12. Let k(q) = -q - q**3 - 58*q**2 + 2*q**x + 57*q**2. Determine k(-2).\n' | b'-10\n' | b'Suppose 2*x - 2*j = 12, 4*j + 15 = 5*x - 12. Let k(q) = -q - q**3 - 58*q**2 + 2*q**x + 57*q**2. Determine k(-2).\n' | b'-10\n' | deepmind/math_dataset |
b'What is the second derivative of 2050*r**2 + 452*r + 116*r - 1771*r**2 wrt r?\n' | b'558\n' | b'What is the second derivative of 2050*r**2 + 452*r + 116*r - 1771*r**2 wrt r?\n' | b'558\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 8, l: 3}. Give prob of sequence lrr.\n' | b'28/165\n' | b'Three letters picked without replacement from {r: 8, l: 3}. Give prob of sequence lrr.\n' | b'28/165\n' | deepmind/math_dataset |
b'Let r(z) = -3*z**2 - 15*z - 22. Let x(n) = 2*n**2 + 7*n + 10. Let m(b) = 3*r(b) + 5*x(b). Calculate m(12).\n' | b'8\n' | b'Let r(z) = -3*z**2 - 15*z - 22. Let x(n) = 2*n**2 + 7*n + 10. Let m(b) = 3*r(b) + 5*x(b). Calculate m(12).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 l, 1 k, and 1 e when three letters picked without replacement from kmokmle.\n' | b'2/35\n' | b'Calculate prob of picking 1 l, 1 k, and 1 e when three letters picked without replacement from kmokmle.\n' | b'2/35\n' | deepmind/math_dataset |
b'Two letters picked without replacement from aadeaeda. What is prob of sequence ad?\n' | b'1/7\n' | b'Two letters picked without replacement from aadeaeda. What is prob of sequence ad?\n' | b'1/7\n' | deepmind/math_dataset |
b'What is the third derivative of 5*i**4 - 2*i**2 - 175 - 117 - 3*i**4 + 6*i**3 + 23 - 93*i**3 wrt i?\n' | b'48*i - 522\n' | b'What is the third derivative of 5*i**4 - 2*i**2 - 175 - 117 - 3*i**4 + 6*i**3 + 23 - 93*i**3 wrt i?\n' | b'48*i - 522\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wfxswxffxffwfsff. Give prob of sequence ww.\n' | b'1/40\n' | b'Two letters picked without replacement from wfxswxffxffwfsff. Give prob of sequence ww.\n' | b'1/40\n' | deepmind/math_dataset |
b'Let d = 3 - -1. Suppose 4*w + 3*n - 41 = 0, 60 = d*w + w - 5*n. Find the first derivative of -4 + 4 + w - 6*x wrt x.\n' | b'-6\n' | b'Let d = 3 - -1. Suppose 4*w + 3*n - 41 = 0, 60 = d*w + w - 5*n. Find the first derivative of -4 + 4 + w - 6*x wrt x.\n' | b'-6\n' | deepmind/math_dataset |
b'Simplify (((f*f**(5/4)*f)/f*f*f*f/f**(2/11))/(f/(((f*f**(1/2))/f)/f)*f**(3/7)/f))**(-8/3) assuming f is positive.\n' | b'f**(-850/77)\n' | b'Simplify (((f*f**(5/4)*f)/f*f*f*f/f**(2/11))/(f/(((f*f**(1/2))/f)/f)*f**(3/7)/f))**(-8/3) assuming f is positive.\n' | b'f**(-850/77)\n' | deepmind/math_dataset |
b'Suppose -48 = -2*d - s, -2*d = 3*d + 3*s - 121. Suppose 2*m + 0 - d = -f, -3 = -f. Solve 3*t - 8 = -4*x, 5*x + 4*t - m = 5*t for x.\n' | b'2\n' | b'Suppose -48 = -2*d - s, -2*d = 3*d + 3*s - 121. Suppose 2*m + 0 - d = -f, -3 = -f. Solve 3*t - 8 = -4*x, 5*x + 4*t - m = 5*t for x.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence ak when two letters picked without replacement from akbbaakkkkaaa.\n' | b'5/26\n' | b'Calculate prob of sequence ak when two letters picked without replacement from akbbaakkkkaaa.\n' | b'5/26\n' | deepmind/math_dataset |
b'Let z(k) = -k**2 - 19*k - 45. Let u be z(-16). Solve 3*h = -u*i - 3, 3*i + 16 - 1 = h for i.\n' | b'-4\n' | b'Let z(k) = -k**2 - 19*k - 45. Let u be z(-16). Solve 3*h = -u*i - 3, 3*i + 16 - 1 = h for i.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r(t) = 29*t + 57. Let c be r(-3). Let o be (-38)/(-10) + (-6)/c. Solve o*h = -3*l - 13, -4*l + 4*h = h + 9 for l.\n' | b'-3\n' | b'Let r(t) = 29*t + 57. Let c be r(-3). Let o be (-38)/(-10) + (-6)/c. Solve o*h = -3*l - 13, -4*l + 4*h = h + 9 for l.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify ((x**(-2))**(-5))**(-7/6)/((x**(-2/11)/(x*x**(1/8)*x))/((x*x*x**(-1/2)*x)/x**(1/8))) assuming x is positive.\n' | b'x**(-461/66)\n' | b'Simplify ((x**(-2))**(-5))**(-7/6)/((x**(-2/11)/(x*x**(1/8)*x))/((x*x*x**(-1/2)*x)/x**(1/8))) assuming x is positive.\n' | b'x**(-461/66)\n' | deepmind/math_dataset |
b'Let q(h) = 7*h**3 + 7*h**2 + 2*h + 8. Let b(l) = -15*l**3 - 15*l**2 - 5*l - 18. Let x(i) = 6*b(i) + 13*q(i). What is x(-4)?\n' | b'-36\n' | b'Let q(h) = 7*h**3 + 7*h**2 + 2*h + 8. Let b(l) = -15*l**3 - 15*l**2 - 5*l - 18. Let x(i) = 6*b(i) + 13*q(i). What is x(-4)?\n' | b'-36\n' | deepmind/math_dataset |
b'What is prob of picking 2 x, 1 o, and 1 f when four letters picked without replacement from {i: 1, j: 1, o: 5, x: 6, e: 1, f: 3}?\n' | b'45/476\n' | b'What is prob of picking 2 x, 1 o, and 1 f when four letters picked without replacement from {i: 1, j: 1, o: 5, x: 6, e: 1, f: 3}?\n' | b'45/476\n' | deepmind/math_dataset |
b'Calculate prob of sequence ux when two letters picked without replacement from utxuxub.\n' | b'1/7\n' | b'Calculate prob of sequence ux when two letters picked without replacement from utxuxub.\n' | b'1/7\n' | deepmind/math_dataset |
b'Simplify (f**12*f**(-15))**(-14/5) assuming f is positive.\n' | b'f**(42/5)\n' | b'Simplify (f**12*f**(-15))**(-14/5) assuming f is positive.\n' | b'f**(42/5)\n' | deepmind/math_dataset |
b'Let a(y) = -17*y**2 - 28*y + 2. Let l = -190 - -188. Let m be a(l). Let o(w) be the first derivative of -w**3/3 - 11*w**2/2 - 7*w + 5. Calculate o(m).\n' | b'3\n' | b'Let a(y) = -17*y**2 - 28*y + 2. Let l = -190 - -188. Let m be a(l). Let o(w) be the first derivative of -w**3/3 - 11*w**2/2 - 7*w + 5. Calculate o(m).\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 6, r: 2, u: 3, v: 2, l: 1, d: 5}. What is prob of picking 1 v, 2 a, and 1 d?\n' | b'25/646\n' | b'Four letters picked without replacement from {a: 6, r: 2, u: 3, v: 2, l: 1, d: 5}. What is prob of picking 1 v, 2 a, and 1 d?\n' | b'25/646\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {g: 2, j: 18}. Give prob of sequence gjg.\n' | b'1/190\n' | b'Three letters picked without replacement from {g: 2, j: 18}. Give prob of sequence gjg.\n' | b'1/190\n' | deepmind/math_dataset |
b'Let m(l) be the first derivative of l**4/2 - 23*l**3/3 + 11*l**2/2 + 9*l - 4418. What is m(11)?\n' | b'9\n' | b'Let m(l) be the first derivative of l**4/2 - 23*l**3/3 + 11*l**2/2 + 9*l - 4418. What is m(11)?\n' | b'9\n' | deepmind/math_dataset |
b'What is the third derivative of 7*i**6 - i**6 + 3*i**6 + 7*i**2 - i**6 wrt i?\n' | b'960*i**3\n' | b'What is the third derivative of 7*i**6 - i**6 + 3*i**6 + 7*i**2 - i**6 wrt i?\n' | b'960*i**3\n' | deepmind/math_dataset |
b'Suppose 0 = 2*h - 3*h. Let x be 2 + -2 + 6/3. Differentiate -m + 3*m - 1 - x + h wrt m.\n' | b'2\n' | b'Suppose 0 = 2*h - 3*h. Let x be 2 + -2 + 6/3. Differentiate -m + 3*m - 1 - x + h wrt m.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify j**(-1/5)/j**(-1/5)*j**(-3)*j*j**(3/5)*j*j/(j**(-6)*j)*j*j*j/j**(-2)*(j**0)**(-11/7) assuming j is positive.\n' | b'j**(53/5)\n' | b'Simplify j**(-1/5)/j**(-1/5)*j**(-3)*j*j**(3/5)*j*j/(j**(-6)*j)*j*j*j/j**(-2)*(j**0)**(-11/7) assuming j is positive.\n' | b'j**(53/5)\n' | deepmind/math_dataset |
b'Let w = -89 + 82. Let k be 2/w + (-96)/(-42). Solve 4*f - 5*l - 41 = -0*f, k*l = -4*f + 6 for f.\n' | b'4\n' | b'Let w = -89 + 82. Let k be 2/w + (-96)/(-42). Solve 4*f - 5*l - 41 = -0*f, k*l = -4*f + 6 for f.\n' | b'4\n' | deepmind/math_dataset |
b'What is the first derivative of 183 + 109 + 15*n**2 + 3 - 1 + 3*n wrt n?\n' | b'30*n + 3\n' | b'What is the first derivative of 183 + 109 + 15*n**2 + 3 - 1 + 3*n wrt n?\n' | b'30*n + 3\n' | deepmind/math_dataset |
b'Let m(a) = a**2 - 3*a - 4. Let o(j) = -j**3 + 10*j**2 - j + 10. Let i be o(10). Suppose i = 5*w - 2*w. Let r = 3 - w. Calculate m(r).\n' | b'-4\n' | b'Let m(a) = a**2 - 3*a - 4. Let o(j) = -j**3 + 10*j**2 - j + 10. Let i be o(10). Suppose i = 5*w - 2*w. Let r = 3 - w. Calculate m(r).\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose -17 = 4*m - 5*s, -2*s + 4*s = 10. What is the third derivative of q**m - 3*q**3 + q**2 - q**2 wrt q?\n' | b'-18\n' | b'Suppose -17 = 4*m - 5*s, -2*s + 4*s = 10. What is the third derivative of q**m - 3*q**3 + q**2 - q**2 wrt q?\n' | b'-18\n' | deepmind/math_dataset |
b'Suppose 4*h - 5*q = -h - 25, -2*q + 3 = 5*h. Let v(g) = 7*g**3 + 2*g + 1. Calculate v(h).\n' | b'-8\n' | b'Suppose 4*h - 5*q = -h - 25, -2*q + 3 = 5*h. Let v(g) = 7*g**3 + 2*g + 1. Calculate v(h).\n' | b'-8\n' | deepmind/math_dataset |
b'Let k(f) = f + 9. Suppose -12 = -5*m - 32. Let w be k(m). Solve -3*a + 6 = 0, y - 5*a + 14 = w*y for y.\n' | b'1\n' | b'Let k(f) = f + 9. Suppose -12 = -5*m - 32. Let w be k(m). Solve -3*a + 6 = 0, y - 5*a + 14 = w*y for y.\n' | b'1\n' | deepmind/math_dataset |
b'Let s(b) be the second derivative of b**4/12 + 3*b**3 + 23*b**2/2 - b. Let z be s(-17). Solve -y - 9 = -2*y - 5*g, -2*g = y - z for y.\n' | b'4\n' | b'Let s(b) be the second derivative of b**4/12 + 3*b**3 + 23*b**2/2 - b. Let z be s(-17). Solve -y - 9 = -2*y - 5*g, -2*g = y - z for y.\n' | b'4\n' | deepmind/math_dataset |
b'What is the third derivative of 0*c**3 - 3*c**3 + 2*c**2 + 2*c**2 + 0*c**2 wrt c?\n' | b'-18\n' | b'What is the third derivative of 0*c**3 - 3*c**3 + 2*c**2 + 2*c**2 + 0*c**2 wrt c?\n' | b'-18\n' | deepmind/math_dataset |
b'Suppose 0 = -2*d + 14 - 6. Solve w - y - 8 = 5*w, -d*w + y - 16 = 0 for w.\n' | b'-3\n' | b'Suppose 0 = -2*d + 14 - 6. Solve w - y - 8 = 5*w, -d*w + y - 16 = 0 for w.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence pr when two letters picked without replacement from zzrpp.\n' | b'1/10\n' | b'Calculate prob of sequence pr when two letters picked without replacement from zzrpp.\n' | b'1/10\n' | deepmind/math_dataset |
b'Simplify (d**(-2/3)/d)**(-18)/(d**(-1/3))**14 assuming d is positive.\n' | b'd**(104/3)\n' | b'Simplify (d**(-2/3)/d)**(-18)/(d**(-1/3))**14 assuming d is positive.\n' | b'd**(104/3)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from iiviieiiiiiviiiiv. Give prob of picking 3 i and 1 v.\n' | b'429/1190\n' | b'Four letters picked without replacement from iiviieiiiiiviiiiv. Give prob of picking 3 i and 1 v.\n' | b'429/1190\n' | deepmind/math_dataset |
b'Let z(m) be the second derivative of m**5/5 - 13*m**4/4 - m**3/3 - 573*m**2/2 - m + 208. What is the second derivative of z(o) wrt o?\n' | b'24*o - 78\n' | b'Let z(m) be the second derivative of m**5/5 - 13*m**4/4 - m**3/3 - 573*m**2/2 - m + 208. What is the second derivative of z(o) wrt o?\n' | b'24*o - 78\n' | deepmind/math_dataset |
b'What is prob of picking 1 k and 1 c when two letters picked without replacement from bkc?\n' | b'1/3\n' | b'What is prob of picking 1 k and 1 c when two letters picked without replacement from bkc?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let l(n) = -16 - 12 - n + 2*n + 25. Calculate l(-13).\n' | b'-16\n' | b'Let l(n) = -16 - 12 - n + 2*n + 25. Calculate l(-13).\n' | b'-16\n' | deepmind/math_dataset |
b'Simplify (a/(a/((a*(a**(-2/7)/a)/a)/a*a)))**(1/18)/(a**(3/5)/a**(-1)) assuming a is positive.\n' | b'a**(-117/70)\n' | b'Simplify (a/(a/((a*(a**(-2/7)/a)/a)/a*a)))**(1/18)/(a**(3/5)/a**(-1)) assuming a is positive.\n' | b'a**(-117/70)\n' | deepmind/math_dataset |
b'Let k(a) = -20*a + 3. Let h(j) = 7*j - 1. Suppose -5*t + 3 = 8. Let o be (13/2 + t)*2. Let x(d) = o*h(d) + 4*k(d). What is the first derivative of x(g) wrt g?\n' | b'-3\n' | b'Let k(a) = -20*a + 3. Let h(j) = 7*j - 1. Suppose -5*t + 3 = 8. Let o be (13/2 + t)*2. Let x(d) = o*h(d) + 4*k(d). What is the first derivative of x(g) wrt g?\n' | b'-3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 2, v: 4, n: 2, j: 3, w: 1, p: 2}. What is prob of picking 2 m and 1 w?\n' | b'1/364\n' | b'Three letters picked without replacement from {m: 2, v: 4, n: 2, j: 3, w: 1, p: 2}. What is prob of picking 2 m and 1 w?\n' | b'1/364\n' | deepmind/math_dataset |
b'Let o(v) be the second derivative of 19*v**7/14 + v**6/15 - 5*v**3/6 - 6*v**2 + 618*v. Find the second derivative of o(c) wrt c.\n' | b'1140*c**3 + 24*c**2\n' | b'Let o(v) be the second derivative of 19*v**7/14 + v**6/15 - 5*v**3/6 - 6*v**2 + 618*v. Find the second derivative of o(c) wrt c.\n' | b'1140*c**3 + 24*c**2\n' | deepmind/math_dataset |
b'Let b(p) = -p**2 + 5*p - 6. Let m(k) = -k**3 - 10*k**2 - 14*k + 20. Suppose 0 = -5*u - 5*l - 3 - 57, l + 4 = 0. Let r be m(u). Determine b(r).\n' | b'-2\n' | b'Let b(p) = -p**2 + 5*p - 6. Let m(k) = -k**3 - 10*k**2 - 14*k + 20. Suppose 0 = -5*u - 5*l - 3 - 57, l + 4 = 0. Let r be m(u). Determine b(r).\n' | b'-2\n' | deepmind/math_dataset |
b'Let i = -39 + 45. Let m be (-124)/(-30) - i/45. Solve 3*p = 5*l + 28, -3*p + 2*l = -m*p - 9 for p.\n' | b'1\n' | b'Let i = -39 + 45. Let m be (-124)/(-30) - i/45. Solve 3*p = 5*l + 28, -3*p + 2*l = -m*p - 9 for p.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 i and 1 x when three letters picked without replacement from {x: 6, i: 2}?\n' | b'3/28\n' | b'What is prob of picking 2 i and 1 x when three letters picked without replacement from {x: 6, i: 2}?\n' | b'3/28\n' | deepmind/math_dataset |
b'Let p(o) = -2*o - 17. Let l(x) = x - 1. Let d(w) = 4*l(w) + p(w). Let g be d(11). Solve -5*u + h = 5, -4*u + g = 5*h + 34 for u.\n' | b'-2\n' | b'Let p(o) = -2*o - 17. Let l(x) = x - 1. Let d(w) = 4*l(w) + p(w). Let g be d(11). Solve -5*u + h = 5, -4*u + g = 5*h + 34 for u.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(h) be the third derivative of -47*h**7/70 - 5*h**4/24 + 11*h**3/6 + 4*h**2 - 6. Find the second derivative of y(m) wrt m.\n' | b'-1692*m**2\n' | b'Let y(h) be the third derivative of -47*h**7/70 - 5*h**4/24 + 11*h**3/6 + 4*h**2 - 6. Find the second derivative of y(m) wrt m.\n' | b'-1692*m**2\n' | deepmind/math_dataset |
b'Simplify ((f*f**0/f)/f)**(-48)/((f*f**(-9/2)/f)/(f/f**(4/9))) assuming f is positive.\n' | b'f**(955/18)\n' | b'Simplify ((f*f**0/f)/f)**(-48)/((f*f**(-9/2)/f)/(f/f**(4/9))) assuming f is positive.\n' | b'f**(955/18)\n' | deepmind/math_dataset |
b'Simplify (d/d**(-5))**5 assuming d is positive.\n' | b'd**30\n' | b'Simplify (d/d**(-5))**5 assuming d is positive.\n' | b'd**30\n' | deepmind/math_dataset |
b'Let d(v) = -v**3 + 14*v**2 + 31*v - 426. Let j be d(14). Solve 0 = 4*a - 12, -5*a + j + 7 = -2*z for z.\n' | b'0\n' | b'Let d(v) = -v**3 + 14*v**2 + 31*v - 426. Let j be d(14). Solve 0 = 4*a - 12, -5*a + j + 7 = -2*z for z.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose 0 = 83*u - 847 + 467 - 1363. Solve 0 = -4*z + 5*w - 3, -4*z + 7*w = 10*w - u for z.\n' | b'3\n' | b'Suppose 0 = 83*u - 847 + 467 - 1363. Solve 0 = -4*z + 5*w - 3, -4*z + 7*w = 10*w - u for z.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 1, m: 1, d: 2, r: 1, p: 1, g: 1}. What is prob of picking 1 e and 1 g?\n' | b'1/21\n' | b'Two letters picked without replacement from {e: 1, m: 1, d: 2, r: 1, p: 1, g: 1}. What is prob of picking 1 e and 1 g?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let q(h) = -5*h + 4. Let l(j) = 4*j + 46. Let i be l(-13). Give q(i).\n' | b'34\n' | b'Let q(h) = -5*h + 4. Let l(j) = 4*j + 46. Let i be l(-13). Give q(i).\n' | b'34\n' | deepmind/math_dataset |
b'Let n(y) = -y + 4. Let p be (-1)/4 - 61/(-4). Let d be 0 - (p/(-3) + 1). Let u be (-19)/d - 2/8. Give n(u).\n' | b'9\n' | b'Let n(y) = -y + 4. Let p be (-1)/4 - 61/(-4). Let d be 0 - (p/(-3) + 1). Let u be (-19)/d - 2/8. Give n(u).\n' | b'9\n' | deepmind/math_dataset |
b'Let t(n) = 5*n**2 + 2*n + 4. Let y(m) = 7*m**2 + 3*m + 6. Let u(f) = 8*t(f) - 5*y(f). Let h(d) be the first derivative of u(d). Suppose 2 = -2*a - 0. Give h(a).\n' | b'-9\n' | b'Let t(n) = 5*n**2 + 2*n + 4. Let y(m) = 7*m**2 + 3*m + 6. Let u(f) = 8*t(f) - 5*y(f). Let h(d) be the first derivative of u(d). Suppose 2 = -2*a - 0. Give h(a).\n' | b'-9\n' | deepmind/math_dataset |
b'Let q = 88 + -85. Find the first derivative of q*o - 3*o - 73*o**4 - 840 + 783 wrt o.\n' | b'-292*o**3\n' | b'Let q = 88 + -85. Find the first derivative of q*o - 3*o - 73*o**4 - 840 + 783 wrt o.\n' | b'-292*o**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence lvb when three letters picked without replacement from {l: 5, q: 1, k: 3, v: 1, b: 4, d: 3}.\n' | b'1/204\n' | b'Calculate prob of sequence lvb when three letters picked without replacement from {l: 5, q: 1, k: 3, v: 1, b: 4, d: 3}.\n' | b'1/204\n' | deepmind/math_dataset |
b'Let v(n) be the third derivative of n**2 + 0 + 0*n**4 - 1/60*n**6 + 0*n**5 + 0*n - 1/6*n**3. Differentiate v(a) wrt a.\n' | b'-6*a**2\n' | b'Let v(n) be the third derivative of n**2 + 0 + 0*n**4 - 1/60*n**6 + 0*n**5 + 0*n - 1/6*n**3. Differentiate v(a) wrt a.\n' | b'-6*a**2\n' | deepmind/math_dataset |
b'Simplify (r**(-2/3))**0*r/r**(-1/3)*r*(r*r/(r*r**(3/5))*r)/r assuming r is positive.\n' | b'r**(41/15)\n' | b'Simplify (r**(-2/3))**0*r/r**(-1/3)*r*(r*r/(r*r**(3/5))*r)/r assuming r is positive.\n' | b'r**(41/15)\n' | deepmind/math_dataset |
b'Let c(m) = 6*m**5 + 7*m**4 + 8*m**2 + 7. Let r(o) = -5*o**5 - 6*o**4 - 8*o**2 - 6. Let i(q) = 6*c(q) + 7*r(q). Find the third derivative of i(p) wrt p.\n' | b'60*p**2\n' | b'Let c(m) = 6*m**5 + 7*m**4 + 8*m**2 + 7. Let r(o) = -5*o**5 - 6*o**4 - 8*o**2 - 6. Let i(q) = 6*c(q) + 7*r(q). Find the third derivative of i(p) wrt p.\n' | b'60*p**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, r: 7, c: 5, k: 3}. Give prob of picking 2 r.\n' | b'21/136\n' | b'Two letters picked without replacement from {e: 2, r: 7, c: 5, k: 3}. Give prob of picking 2 r.\n' | b'21/136\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q, 2 k, and 1 i when four letters picked without replacement from {e: 2, k: 4, i: 4, q: 2}.\n' | b'16/165\n' | b'Calculate prob of picking 1 q, 2 k, and 1 i when four letters picked without replacement from {e: 2, k: 4, i: 4, q: 2}.\n' | b'16/165\n' | deepmind/math_dataset |
b'Let d(t) be the second derivative of -2*t + 0*t**4 + 0*t**3 + t**2 - 1/10*t**5 + 0. Find the first derivative of d(u) wrt u.\n' | b'-6*u**2\n' | b'Let d(t) be the second derivative of -2*t + 0*t**4 + 0*t**3 + t**2 - 1/10*t**5 + 0. Find the first derivative of d(u) wrt u.\n' | b'-6*u**2\n' | deepmind/math_dataset |
b'Let k(j) = -24*j + 102. Let r(x) = 5*x - 20. Let n(c) = 3*k(c) + 14*r(c). Suppose u + 3*i - 15 = 0, 4*i - 102 = -5*u - 38. Calculate n(u).\n' | b'2\n' | b'Let k(j) = -24*j + 102. Let r(x) = 5*x - 20. Let n(c) = 3*k(c) + 14*r(c). Suppose u + 3*i - 15 = 0, 4*i - 102 = -5*u - 38. Calculate n(u).\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from rmrrrrrwmwrwmrrwrr. Give prob of picking 3 m.\n' | b'1/816\n' | b'Three letters picked without replacement from rmrrrrrwmwrwmrrwrr. Give prob of picking 3 m.\n' | b'1/816\n' | deepmind/math_dataset |
b'Let h(k) = -2*k**3 - 2*k**2 + 4*k - 3. Let r be h(2). Let j(p) = -p**3 - 19*p**2 - p - 7. Let t be j(r). Solve -8 = -4*m, 5*g - 3*m - t = -4*m for g.\n' | b'2\n' | b'Let h(k) = -2*k**3 - 2*k**2 + 4*k - 3. Let r be h(2). Let j(p) = -p**3 - 19*p**2 - p - 7. Let t be j(r). Solve -8 = -4*m, 5*g - 3*m - t = -4*m for g.\n' | b'2\n' | deepmind/math_dataset |
b'Simplify d*d/(d**(-10)/d)*d*d/(d**(-16/11)*d)*d assuming d is positive.\n' | b'd**(181/11)\n' | b'Simplify d*d/(d**(-10)/d)*d*d/(d**(-16/11)*d)*d assuming d is positive.\n' | b'd**(181/11)\n' | deepmind/math_dataset |
b'What is prob of picking 1 p, 1 k, and 1 f when three letters picked without replacement from {p: 1, s: 1, f: 2, k: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 p, 1 k, and 1 f when three letters picked without replacement from {p: 1, s: 1, f: 2, k: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Let v(c) = c**2 + 2*c + 5. Let p be v(-2). Solve 2*u = p*h, -u - 30 = 3*u + 5*h for u.\n' | b'-5\n' | b'Let v(c) = c**2 + 2*c + 5. Let p be v(-2). Solve 2*u = p*h, -u - 30 = 3*u + 5*h for u.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (m**11/m*m*m*m**(7/2)*m**(2/15)*m*(m/m**(-1/8))/m)**42 assuming m is positive.\n' | b'm**(14077/20)\n' | b'Simplify (m**11/m*m*m*m**(7/2)*m**(2/15)*m*(m/m**(-1/8))/m)**42 assuming m is positive.\n' | b'm**(14077/20)\n' | deepmind/math_dataset |
b'Let m(t) = t**3 + 27 + 11*t**2 - 4*t - 68 + 22 - 16*t**2 + 23. Let o = -16 + 22. Give m(o).\n' | b'16\n' | b'Let m(t) = t**3 + 27 + 11*t**2 - 4*t - 68 + 22 - 16*t**2 + 23. Let o = -16 + 22. Give m(o).\n' | b'16\n' | deepmind/math_dataset |
b'Two letters picked without replacement from wkzkrkkrzkkk. Give prob of sequence rr.\n' | b'1/66\n' | b'Two letters picked without replacement from wkzkrkkrzkkk. Give prob of sequence rr.\n' | b'1/66\n' | deepmind/math_dataset |
b'Let p be (-12)/(-66) - (-202)/(-22). Let a(d) = -d - 1. Let c(n) = 6*n + 3. Let f(u) = p*a(u) - c(u). Suppose 2*s + 5 = -5. What is f(s)?\n' | b'-9\n' | b'Let p be (-12)/(-66) - (-202)/(-22). Let a(d) = -d - 1. Let c(n) = 6*n + 3. Let f(u) = p*a(u) - c(u). Suppose 2*s + 5 = -5. What is f(s)?\n' | b'-9\n' | deepmind/math_dataset |
b'Find the third derivative of -1016*s**3 - 2426*s**4 + 2841*s**4 + 9930*s**2 + 1016*s**3 + 6521*s**4 wrt s.\n' | b'166464*s\n' | b'Find the third derivative of -1016*s**3 - 2426*s**4 + 2841*s**4 + 9930*s**2 + 1016*s**3 + 6521*s**4 wrt s.\n' | b'166464*s\n' | deepmind/math_dataset |
b'Let t = -2 + 5. Let h be (3/(-6))/(t/(-30)). Solve -4*b + 2 = -4*q - 2, 5*q + h = b for q.\n' | b'-1\n' | b'Let t = -2 + 5. Let h be (3/(-6))/(t/(-30)). Solve -4*b + 2 = -4*q - 2, 5*q + h = b for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((t/(t*t*t**4/t))**(-37)*t/(t*t/(t**8*t)*t*t)*t*t**(-2)/t)**(2/39) assuming t is positive.\n' | b't**(304/39)\n' | b'Simplify ((t/(t*t*t**4/t))**(-37)*t/(t*t/(t**8*t)*t*t)*t*t**(-2)/t)**(2/39) assuming t is positive.\n' | b't**(304/39)\n' | deepmind/math_dataset |
b'Let r(v) = -14*v**3 + 15*v**2 - 14*v + 11. Let b(p) = -5*p**3 + 5*p**2 - 5*p + 4. Let g(k) = -17*b(k) + 6*r(k). What is g(-5)?\n' | b'-7\n' | b'Let r(v) = -14*v**3 + 15*v**2 - 14*v + 11. Let b(p) = -5*p**3 + 5*p**2 - 5*p + 4. Let g(k) = -17*b(k) + 6*r(k). What is g(-5)?\n' | b'-7\n' | deepmind/math_dataset |
b'Let d(o) be the third derivative of -o**9/60480 + o**8/3360 + o**7/630 + o**6/720 + 7*o**5/15 - 24*o**2. Let r(y) be the third derivative of d(y). What is r(7)?\n' | b'8\n' | b'Let d(o) be the third derivative of -o**9/60480 + o**8/3360 + o**7/630 + o**6/720 + 7*o**5/15 - 24*o**2. Let r(y) be the third derivative of d(y). What is r(7)?\n' | b'8\n' | deepmind/math_dataset |
b'Let r(m) be the first derivative of 0*m + 16/3*m**3 + 0*m**4 + 11/5*m**5 + 0*m**2 + 27. What is the third derivative of r(y) wrt y?\n' | b'264*y\n' | b'Let r(m) be the first derivative of 0*m + 16/3*m**3 + 0*m**4 + 11/5*m**5 + 0*m**2 + 27. What is the third derivative of r(y) wrt y?\n' | b'264*y\n' | deepmind/math_dataset |
b'Let f(b) = -21*b - 3 - 16*b - 179*b**2 + 93*b. Let j(k) = 178*k**2 - 55*k + 4. Let l(a) = -4*f(a) - 3*j(a). What is the second derivative of l(y) wrt y?\n' | b'364\n' | b'Let f(b) = -21*b - 3 - 16*b - 179*b**2 + 93*b. Let j(k) = 178*k**2 - 55*k + 4. Let l(a) = -4*f(a) - 3*j(a). What is the second derivative of l(y) wrt y?\n' | b'364\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ajjajjajaajjjjjajjj. What is prob of picking 2 j?\n' | b'26/57\n' | b'Two letters picked without replacement from ajjajjajaajjjjjajjj. What is prob of picking 2 j?\n' | b'26/57\n' | deepmind/math_dataset |
b'Let c(t) = t**3 - 3*t**2 + 17*t - 46. Let i be c(6). Suppose 2*s = 136 - i. Let l(g) = -g**2 - 14*g - 13. Calculate l(s).\n' | b'-13\n' | b'Let c(t) = t**3 - 3*t**2 + 17*t - 46. Let i be c(6). Suppose 2*s = 136 - i. Let l(g) = -g**2 - 14*g - 13. Calculate l(s).\n' | b'-13\n' | deepmind/math_dataset |
b'Simplify ((d/(d**(-4/5)*d)*d)/(d/d**(-7))*(d/d**(-2/5)*d)**(29/2))**(-43) assuming d is positive.\n' | b'd**(-6149/5)\n' | b'Simplify ((d/(d**(-4/5)*d)*d)/(d/d**(-7))*(d/d**(-2/5)*d)**(29/2))**(-43) assuming d is positive.\n' | b'd**(-6149/5)\n' | deepmind/math_dataset |
b'Let q(f) = -f - 2. Let w be q(-4). Let t(d) be the third derivative of 1/3*d**3 - w*d**2 + 1/12*d**4 + 0 + 0*d. Find the first derivative of t(a) wrt a.\n' | b'2\n' | b'Let q(f) = -f - 2. Let w be q(-4). Let t(d) be the third derivative of 1/3*d**3 - w*d**2 + 1/12*d**4 + 0 + 0*d. Find the first derivative of t(a) wrt a.\n' | b'2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from zygytzyyyygygzzyyz. Give prob of sequence tyy.\n' | b'1/68\n' | b'Three letters picked without replacement from zygytzyyyygygzzyyz. Give prob of sequence tyy.\n' | b'1/68\n' | deepmind/math_dataset |
b'Simplify (b*b**34)/(b**(-4/9)*b*b*b) assuming b is positive.\n' | b'b**(292/9)\n' | b'Simplify (b*b**34)/(b**(-4/9)*b*b*b) assuming b is positive.\n' | b'b**(292/9)\n' | deepmind/math_dataset |
b'Suppose -9 = -10*z + 31. Find the second derivative of -3061*g**3 - 2*g**z - 11*g + 3084*g**3 - 20*g wrt g.\n' | b'-24*g**2 + 138*g\n' | b'Suppose -9 = -10*z + 31. Find the second derivative of -3061*g**3 - 2*g**z - 11*g + 3084*g**3 - 20*g wrt g.\n' | b'-24*g**2 + 138*g\n' | deepmind/math_dataset |
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