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 c be (-36)/5*(-20)/6. Suppose 4 + 4 = -g - q, 5*q = -g - c. Let l be (2 - 2 - g)/2. Solve -9 = 5*p + a + l*a, 3*p - 15 = 5*a for p.\n' | b'0\n' | b'Let c be (-36)/5*(-20)/6. Suppose 4 + 4 = -g - q, 5*q = -g - c. Let l be (2 - 2 - g)/2. Solve -9 = 5*p + a + l*a, 3*p - 15 = 5*a for p.\n' | b'0\n' | deepmind/math_dataset |
b'Let r(o) = 5*o - 1. Let i(p) = p**2 + 5*p + 3. Suppose 10 = -5*h + 5*s - 3*s, -15 = 3*s. Let w be i(h). What is r(w)?\n' | b'-6\n' | b'Let r(o) = 5*o - 1. Let i(p) = p**2 + 5*p + 3. Suppose 10 = -5*h + 5*s - 3*s, -15 = 3*s. Let w be i(h). What is r(w)?\n' | b'-6\n' | deepmind/math_dataset |
b'Let s(a) be the first derivative of -1/4*a**4 - 2*a**2 + 5/3*a**3 - 9 + 0*a. Let i be ((-4)/2)/((-2)/3). Calculate s(i).\n' | b'6\n' | b'Let s(a) be the first derivative of -1/4*a**4 - 2*a**2 + 5/3*a**3 - 9 + 0*a. Let i be ((-4)/2)/((-2)/3). Calculate s(i).\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of sequence le when two letters picked without replacement from {e: 2, l: 5, q: 1, d: 2, g: 5, f: 1}.\n' | b'1/24\n' | b'Calculate prob of sequence le when two letters picked without replacement from {e: 2, l: 5, q: 1, d: 2, g: 5, f: 1}.\n' | b'1/24\n' | deepmind/math_dataset |
b'Simplify (x**(-6))**(-37)*(x**(-3/22))**25 assuming x is positive.\n' | b'x**(4809/22)\n' | b'Simplify (x**(-6))**(-37)*(x**(-3/22))**25 assuming x is positive.\n' | b'x**(4809/22)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s, 1 j, and 1 e when three letters picked without replacement from {r: 3, s: 5, j: 1, e: 4}.\n' | b'10/143\n' | b'Calculate prob of picking 1 s, 1 j, and 1 e when three letters picked without replacement from {r: 3, s: 5, j: 1, e: 4}.\n' | b'10/143\n' | deepmind/math_dataset |
b'Let d(g) = 9*g - 4. Let f be d(0). Let y be (5 - (-129)/(-21))/(f/14). Solve 2*r + 8 = -i, -17 = y*r + 5*i + 11 for r.\n' | b'-2\n' | b'Let d(g) = 9*g - 4. Let f be d(0). Let y be (5 - (-129)/(-21))/(f/14). Solve 2*r + 8 = -i, -17 = y*r + 5*i + 11 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of sequence yihs when four letters picked without replacement from sshtnsnhtihiniiy?\n' | b'3/3640\n' | b'What is prob of sequence yihs when four letters picked without replacement from sshtnsnhtihiniiy?\n' | b'3/3640\n' | deepmind/math_dataset |
b'Two letters picked without replacement from tsyiymu. Give prob of sequence mu.\n' | b'1/42\n' | b'Two letters picked without replacement from tsyiymu. Give prob of sequence mu.\n' | b'1/42\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {f: 2, p: 4, j: 2, g: 3, t: 1}. What is prob of sequence gjtt?\n' | b'0\n' | b'Four letters picked without replacement from {f: 2, p: 4, j: 2, g: 3, t: 1}. What is prob of sequence gjtt?\n' | b'0\n' | deepmind/math_dataset |
b'Let k(c) = -c**3 - 9*c**2 - 15*c - 3. Let w be k(-7). Suppose 5*s - 4*z = 94, w*s = 5*s - z - 19. Solve -s = 5*g + 2*v, 2 = -5*v - 18 for g.\n' | b'-2\n' | b'Let k(c) = -c**3 - 9*c**2 - 15*c - 3. Let w be k(-7). Suppose 5*s - 4*z = 94, w*s = 5*s - z - 19. Solve -s = 5*g + 2*v, 2 = -5*v - 18 for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Let k(b) = -b**3 + b**2 - 1. Let s = 14 + -12. Calculate k(s).\n' | b'-5\n' | b'Let k(b) = -b**3 + b**2 - 1. Let s = 14 + -12. Calculate k(s).\n' | b'-5\n' | deepmind/math_dataset |
b'Let n(q) be the second derivative of -q**5/20 + q**2/2 + 10*q. Suppose -3*y + 11 = -k, -4*k + 12 = -y + 1. Suppose 0 = 2*r + 2*r - k. Calculate n(r).\n' | b'0\n' | b'Let n(q) be the second derivative of -q**5/20 + q**2/2 + 10*q. Suppose -3*y + 11 = -k, -4*k + 12 = -y + 1. Suppose 0 = 2*r + 2*r - k. Calculate n(r).\n' | b'0\n' | deepmind/math_dataset |
b'Let z = -13 - -18. Suppose -8 = -2*s, -21 = -3*j - z*s + 8. Find the second derivative of 8*l + 2*l**j + 3*l**3 - 12*l wrt l.\n' | b'30*l\n' | b'Let z = -13 - -18. Suppose -8 = -2*s, -21 = -3*j - z*s + 8. Find the second derivative of 8*l + 2*l**j + 3*l**3 - 12*l wrt l.\n' | b'30*l\n' | deepmind/math_dataset |
b'Let q(y) = -23*y**2 - 13 - 5 + 2*y**2 + 5*y**2 - 20 - 2*y - y**3. Determine q(-16).\n' | b'-6\n' | b'Let q(y) = -23*y**2 - 13 - 5 + 2*y**2 + 5*y**2 - 20 - 2*y - y**3. Determine q(-16).\n' | b'-6\n' | deepmind/math_dataset |
b'Let y = -483 + 517. Let i(p) = -8 - 36*p + 1 - y*p + 73*p. What is i(12)?\n' | b'29\n' | b'Let y = -483 + 517. Let i(p) = -8 - 36*p + 1 - y*p + 73*p. What is i(12)?\n' | b'29\n' | deepmind/math_dataset |
b'Let n(a) = 3*a + 13. Suppose -4 = 2*h + 4. Let l be n(h). Let x(j) = j**2 - j. Determine x(l).\n' | b'0\n' | b'Let n(a) = 3*a + 13. Suppose -4 = 2*h + 4. Let l be n(h). Let x(j) = j**2 - j. Determine x(l).\n' | b'0\n' | deepmind/math_dataset |
b'Let k(f) = 2*f**3 + 4*f - 11. Suppose 12 = 2*s + 4. Let r(d) = -d**3 - d + 1. Let o(t) = s*r(t) + k(t). Differentiate o(j) with respect to j.\n' | b'-6*j**2\n' | b'Let k(f) = 2*f**3 + 4*f - 11. Suppose 12 = 2*s + 4. Let r(d) = -d**3 - d + 1. Let o(t) = s*r(t) + k(t). Differentiate o(j) with respect to j.\n' | b'-6*j**2\n' | deepmind/math_dataset |
b'Suppose -196*o = -202*o + 1272. Let j = o - 210. Let v(s) = 2*s. Let w be v(2). Solve 5*i + 15 = x, -j*i + w = -5*x - 13 for x.\n' | b'-5\n' | b'Suppose -196*o = -202*o + 1272. Let j = o - 210. Let v(s) = 2*s. Let w be v(2). Solve 5*i + 15 = x, -j*i + w = -5*x - 13 for x.\n' | b'-5\n' | deepmind/math_dataset |
b'Let x(b) be the second derivative of 0 + 0*b**2 + 1/3*b**4 - b + 0*b**3 - 1/5*b**5. Find the third derivative of x(w) wrt w.\n' | b'-24\n' | b'Let x(b) be the second derivative of 0 + 0*b**2 + 1/3*b**4 - b + 0*b**3 - 1/5*b**5. Find the third derivative of x(w) wrt w.\n' | b'-24\n' | deepmind/math_dataset |
b'Let g(d) = d**2 - d - 1. Let k(s) = s**3 + 21*s**2 - 22*s - 5. Let u(y) = -6*g(y) + k(y). Give u(-16).\n' | b'1\n' | b'Let g(d) = d**2 - d - 1. Let k(s) = s**3 + 21*s**2 - 22*s - 5. Let u(y) = -6*g(y) + k(y). Give u(-16).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence vu when two letters picked without replacement from {u: 2, m: 1, o: 3, v: 4, w: 7}?\n' | b'1/34\n' | b'What is prob of sequence vu when two letters picked without replacement from {u: 2, m: 1, o: 3, v: 4, w: 7}?\n' | b'1/34\n' | deepmind/math_dataset |
b'Let y = -216 - -220. Solve -4*g + 11 = -5*n, -4 = -y*g + 2*n - 2 for g.\n' | b'-1\n' | b'Let y = -216 - -220. Solve -4*g + 11 = -5*n, -4 = -y*g + 2*n - 2 for g.\n' | b'-1\n' | deepmind/math_dataset |
b'Let y(k) be the third derivative of 37/24*k**4 + 12*k**2 + 0 + 0*k + 1/4*k**5 + 0*k**3. Find the second derivative of y(j) wrt j.\n' | b'30\n' | b'Let y(k) be the third derivative of 37/24*k**4 + 12*k**2 + 0 + 0*k + 1/4*k**5 + 0*k**3. Find the second derivative of y(j) wrt j.\n' | b'30\n' | deepmind/math_dataset |
b'Let r = 8 + -3. Let l(k) = 3*k - 3. Let y(m) = 3*m - 4. Let s(o) = 3*l(o) - 4*y(o). Calculate s(r).\n' | b'-8\n' | b'Let r = 8 + -3. Let l(k) = 3*k - 3. Let y(m) = 3*m - 4. Let s(o) = 3*l(o) - 4*y(o). Calculate s(r).\n' | b'-8\n' | deepmind/math_dataset |
b'Simplify ((j/(j*j**(-6)))/j**9)**(-1/9)/(j*j/(j/j**4)*((j/(j/j**8))/j)/j)**(-30) assuming j is positive.\n' | b'j**(991/3)\n' | b'Simplify ((j/(j*j**(-6)))/j**9)**(-1/9)/(j*j/(j/j**4)*((j/(j/j**8))/j)/j)**(-30) assuming j is positive.\n' | b'j**(991/3)\n' | deepmind/math_dataset |
b'Simplify q/((q**(5/4)/q)/q)*q/q**(-12) assuming q is positive.\n' | b'q**(59/4)\n' | b'Simplify q/((q**(5/4)/q)/q)*q/q**(-12) assuming q is positive.\n' | b'q**(59/4)\n' | deepmind/math_dataset |
b'Suppose 2*z + 17*z - 646 = 0. Let u(r) = 4*r**2 + 3 - 3*r**2 - 4*r**2 + z*r - 31*r. What is u(-2)?\n' | b'-15\n' | b'Suppose 2*z + 17*z - 646 = 0. Let u(r) = 4*r**2 + 3 - 3*r**2 - 4*r**2 + z*r - 31*r. What is u(-2)?\n' | b'-15\n' | deepmind/math_dataset |
b'Suppose -26*r + 36*r - 40 = 0. Suppose 0 = -5*w - 5 + 15. Let n(c) = -c**3 + 2*c**2. Let v be n(w). Solve r*h + 23 = s - v*s, -4*s - 4*h - 8 = 0 for s.\n' | b'3\n' | b'Suppose -26*r + 36*r - 40 = 0. Suppose 0 = -5*w - 5 + 15. Let n(c) = -c**3 + 2*c**2. Let v be n(w). Solve r*h + 23 = s - v*s, -4*s - 4*h - 8 = 0 for s.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (((a*a*a**(10/3))/a)/a)**41 assuming a is positive.\n' | b'a**(410/3)\n' | b'Simplify (((a*a*a**(10/3))/a)/a)**41 assuming a is positive.\n' | b'a**(410/3)\n' | deepmind/math_dataset |
b'What is prob of picking 1 l and 2 a when three letters picked without replacement from {v: 2, l: 2, a: 2, f: 4, d: 2, h: 2}?\n' | b'1/182\n' | b'What is prob of picking 1 l and 2 a when three letters picked without replacement from {v: 2, l: 2, a: 2, f: 4, d: 2, h: 2}?\n' | b'1/182\n' | deepmind/math_dataset |
b'Four letters picked without replacement from llrlllgllrlrlllglrr. What is prob of sequence rglg?\n' | b'5/3876\n' | b'Four letters picked without replacement from llrlllgllrlrlllglrr. What is prob of sequence rglg?\n' | b'5/3876\n' | deepmind/math_dataset |
b'Suppose 4*h + 4*f = 44, 3*h = -h + 4*f + 4. Solve q + 5 = z, -16 = -q - 2*z - h for q.\n' | b'0\n' | b'Suppose 4*h + 4*f = 44, 3*h = -h + 4*f + 4. Solve q + 5 = z, -16 = -q - 2*z - h for q.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mhmmhhmhshhhhhmmhh. What is prob of picking 1 m, 1 s, and 1 h?\n' | b'11/136\n' | b'Three letters picked without replacement from mhmmhhmhshhhhhmmhh. What is prob of picking 1 m, 1 s, and 1 h?\n' | b'11/136\n' | deepmind/math_dataset |
b'Let g be (18 - 3)*(-1)/(-3) - -1. Let k = -2 + g. Find the third derivative of -5*n**2 + 4*n**2 - 23*n**k + n**2 - 18*n**2 wrt n.\n' | b'-552*n\n' | b'Let g be (18 - 3)*(-1)/(-3) - -1. Let k = -2 + g. Find the third derivative of -5*n**2 + 4*n**2 - 23*n**k + n**2 - 18*n**2 wrt n.\n' | b'-552*n\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uurrgngnankuuaunn. Give prob of picking 1 k and 2 g.\n' | b'1/680\n' | b'Three letters picked without replacement from uurrgngnankuuaunn. Give prob of picking 1 k and 2 g.\n' | b'1/680\n' | deepmind/math_dataset |
b'Let r be 9/(-6)*(-1 + -1). Let m(u) be the first derivative of -2*u**2 + 4 + 4*u + u**2 - 3. What is m(r)?\n' | b'-2\n' | b'Let r be 9/(-6)*(-1 + -1). Let m(u) be the first derivative of -2*u**2 + 4 + 4*u + u**2 - 3. What is m(r)?\n' | b'-2\n' | deepmind/math_dataset |
b'Let k(w) = -w**2 - 2*w + 8. Let x(l) = -l**2 - l + 7. Let n(u) = -4*k(u) + 5*x(u). What is n(4)?\n' | b'-1\n' | b'Let k(w) = -w**2 - 2*w + 8. Let x(l) = -l**2 - l + 7. Let n(u) = -4*k(u) + 5*x(u). What is n(4)?\n' | b'-1\n' | deepmind/math_dataset |
b'Let z = 26 - 24. What is the third derivative of -z + 10*o**2 + 1 + 17*o**4 + 1 wrt o?\n' | b'408*o\n' | b'Let z = 26 - 24. What is the third derivative of -z + 10*o**2 + 1 + 17*o**4 + 1 wrt o?\n' | b'408*o\n' | deepmind/math_dataset |
b'Suppose -101*j = 24*j - 254 + 4254. Let n(z) = -z**3 - 34*z**2 - 61*z + 97. Determine n(j).\n' | b'1\n' | b'Suppose -101*j = 24*j - 254 + 4254. Let n(z) = -z**3 - 34*z**2 - 61*z + 97. Determine n(j).\n' | b'1\n' | deepmind/math_dataset |
b'Let j(l) be the first derivative of -3*l**5/10 + 11*l**2/2 + l - 18. Let u(t) be the first derivative of j(t). Differentiate u(b) wrt b.\n' | b'-18*b**2\n' | b'Let j(l) be the first derivative of -3*l**5/10 + 11*l**2/2 + l - 18. Let u(t) be the first derivative of j(t). Differentiate u(b) wrt b.\n' | b'-18*b**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from nwxdjjnv. What is prob of sequence xjj?\n' | b'1/168\n' | b'Three letters picked without replacement from nwxdjjnv. What is prob of sequence xjj?\n' | b'1/168\n' | deepmind/math_dataset |
b'Two letters picked without replacement from olfig. Give prob of picking 1 f and 1 l.\n' | b'1/10\n' | b'Two letters picked without replacement from olfig. Give prob of picking 1 f and 1 l.\n' | b'1/10\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 t and 1 y when four letters picked without replacement from ybyybtytbyrtbtbbtb.\n' | b'5/306\n' | b'Calculate prob of picking 3 t and 1 y when four letters picked without replacement from ybyybtytbyrtbtbbtb.\n' | b'5/306\n' | deepmind/math_dataset |
b'Simplify (v**1*v**(-1/24))/(v**(-5/7))**(-35) assuming v is positive.\n' | b'v**(-577/24)\n' | b'Simplify (v**1*v**(-1/24))/(v**(-5/7))**(-35) assuming v is positive.\n' | b'v**(-577/24)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ooyo when four letters picked without replacement from yyyyyyoyoo.\n' | b'1/120\n' | b'Calculate prob of sequence ooyo when four letters picked without replacement from yyyyyyoyoo.\n' | b'1/120\n' | deepmind/math_dataset |
b'Calculate prob of sequence twt when three letters picked without replacement from {t: 5, w: 2}.\n' | b'4/21\n' | b'Calculate prob of sequence twt when three letters picked without replacement from {t: 5, w: 2}.\n' | b'4/21\n' | deepmind/math_dataset |
b'Simplify (m*m*m/(m/m**(1/4)))/m*m**2*m*(m**(-1))**(-3/8) assuming m is positive.\n' | b'm**(37/8)\n' | b'Simplify (m*m*m/(m/m**(1/4)))/m*m**2*m*(m**(-1))**(-3/8) assuming m is positive.\n' | b'm**(37/8)\n' | deepmind/math_dataset |
b'Suppose 9*y - 3*y = 18. Let w(r) = 80*r + 5*r**3 - 32*r**y - 81*r. Calculate w(1).\n' | b'-28\n' | b'Suppose 9*y - 3*y = 18. Let w(r) = 80*r + 5*r**3 - 32*r**y - 81*r. Calculate w(1).\n' | b'-28\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 2 l when three letters picked without replacement from zvdlvlllvl.\n' | b'1/12\n' | b'Calculate prob of picking 1 z and 2 l when three letters picked without replacement from zvdlvlllvl.\n' | b'1/12\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 4, s: 2, x: 2, e: 1, j: 1, n: 4}. Give prob of sequence ntx.\n' | b'4/273\n' | b'Three letters picked without replacement from {t: 4, s: 2, x: 2, e: 1, j: 1, n: 4}. Give prob of sequence ntx.\n' | b'4/273\n' | deepmind/math_dataset |
b'Calculate prob of sequence nz when two letters picked without replacement from zxnvs.\n' | b'1/20\n' | b'Calculate prob of sequence nz when two letters picked without replacement from zxnvs.\n' | b'1/20\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {p: 9, k: 5, g: 3, x: 1}. Give prob of picking 2 g and 1 p.\n' | b'9/272\n' | b'Three letters picked without replacement from {p: 9, k: 5, g: 3, x: 1}. Give prob of picking 2 g and 1 p.\n' | b'9/272\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 5, y: 7, d: 4}. Give prob of sequence dmy.\n' | b'1/24\n' | b'Three letters picked without replacement from {m: 5, y: 7, d: 4}. Give prob of sequence dmy.\n' | b'1/24\n' | deepmind/math_dataset |
b'Suppose -5*r - 2*t = -73 - 69, 3*t + 162 = 5*r. Find the second derivative of -2*p + 0*p + 0*p + r*p**5 - 12*p**5 wrt p.\n' | b'360*p**3\n' | b'Suppose -5*r - 2*t = -73 - 69, 3*t + 162 = 5*r. Find the second derivative of -2*p + 0*p + 0*p + r*p**5 - 12*p**5 wrt p.\n' | b'360*p**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, r: 4}. Give prob of sequence rrrr.\n' | b'1/15\n' | b'Four letters picked without replacement from {h: 2, r: 4}. Give prob of sequence rrrr.\n' | b'1/15\n' | deepmind/math_dataset |
b'Simplify (y**(-2/7)/(y/y**(-2/5)))**(-2/19)*(y/(y*y*y**(-1)))**(-30)*y**6/((y**3/y)/y) assuming y is positive.\n' | b'y**(3443/665)\n' | b'Simplify (y**(-2/7)/(y/y**(-2/5)))**(-2/19)*(y/(y*y*y**(-1)))**(-30)*y**6/((y**3/y)/y) assuming y is positive.\n' | b'y**(3443/665)\n' | deepmind/math_dataset |
b'Let y(r) be the first derivative of 6 - 11/2*r**2 - 11*r. What is the first derivative of y(o) wrt o?\n' | b'-11\n' | b'Let y(r) be the first derivative of 6 - 11/2*r**2 - 11*r. What is the first derivative of y(o) wrt o?\n' | b'-11\n' | deepmind/math_dataset |
b'Suppose k - 3*k + 108 = 0. Let o = -36 + k. Suppose 0 = 13*j + 2 - 54. Solve -4 = -4*d - 2*u + o, -2*d + j*u - 4 = 0 for d.\n' | b'4\n' | b'Suppose k - 3*k + 108 = 0. Let o = -36 + k. Suppose 0 = 13*j + 2 - 54. Solve -4 = -4*d - 2*u + o, -2*d + j*u - 4 = 0 for d.\n' | b'4\n' | deepmind/math_dataset |
b'Let y = 84 + -69. Let h be 81/y - 2/5. Solve 4*t - h*l = 41, 0*t = -2*t - 4*l - 12 for t.\n' | b'4\n' | b'Let y = 84 + -69. Let h be 81/y - 2/5. Solve 4*t - h*l = 41, 0*t = -2*t - 4*l - 12 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose 3*v - 3*i - 21 = 21, 4*v + 4*i - 64 = 0. Suppose 3*o + v = 0, 0*o + 22 = -3*j - 5*o. Solve -2 = -2*r - 4, r + j = -2*q for q.\n' | b'0\n' | b'Suppose 3*v - 3*i - 21 = 21, 4*v + 4*i - 64 = 0. Suppose 3*o + v = 0, 0*o + 22 = -3*j - 5*o. Solve -2 = -2*r - 4, r + j = -2*q for q.\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eggheghoo. What is prob of sequence ohe?\n' | b'1/63\n' | b'Three letters picked without replacement from eggheghoo. What is prob of sequence ohe?\n' | b'1/63\n' | deepmind/math_dataset |
b'Suppose -o + 15 - 5 = 0. Let p(s) = -3*s**3 + 29*s + 1 - 6*s**2 - o*s + 2*s**3 - 12*s. Let b be p(-7). Solve -r = -n + b, -5*n + 2*r = 6*r + 4 for n.\n' | b'0\n' | b'Suppose -o + 15 - 5 = 0. Let p(s) = -3*s**3 + 29*s + 1 - 6*s**2 - o*s + 2*s**3 - 12*s. Let b be p(-7). Solve -r = -n + b, -5*n + 2*r = 6*r + 4 for n.\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {l: 7, h: 1, n: 5}. Give prob of picking 1 n and 1 l.\n' | b'35/78\n' | b'Two letters picked without replacement from {l: 7, h: 1, n: 5}. Give prob of picking 1 n and 1 l.\n' | b'35/78\n' | deepmind/math_dataset |
b'Suppose -f = -2*f + 7. Let h = 7 - f. Let j = 3 - h. Solve 0 = 3*q + j*g + 3, 2*q + 0 = g + 13 for q.\n' | b'4\n' | b'Suppose -f = -2*f + 7. Let h = 7 - f. Let j = 3 - h. Solve 0 = 3*q + j*g + 3, 2*q + 0 = g + 13 for q.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose m - 5*m = -12, p = 2*m - 2. Solve 1 = -3*n + p*w, -n + w - 1 = -0 for n.\n' | b'-3\n' | b'Suppose m - 5*m = -12, p = 2*m - 2. Solve 1 = -3*n + p*w, -n + w - 1 = -0 for n.\n' | b'-3\n' | deepmind/math_dataset |
b'Calculate prob of sequence ll when two letters picked without replacement from {j: 1, p: 1, v: 2, l: 3, m: 4}.\n' | b'3/55\n' | b'Calculate prob of sequence ll when two letters picked without replacement from {j: 1, p: 1, v: 2, l: 3, m: 4}.\n' | b'3/55\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {o: 5, j: 3, p: 3}. What is prob of picking 2 p, 1 j, and 1 o?\n' | b'3/22\n' | b'Four letters picked without replacement from {o: 5, j: 3, p: 3}. What is prob of picking 2 p, 1 j, and 1 o?\n' | b'3/22\n' | deepmind/math_dataset |
b'Simplify (y/y**(-17))**11*y**(-27)*y*y**(-1/25) assuming y is positive.\n' | b'y**(4299/25)\n' | b'Simplify (y/y**(-17))**11*y**(-27)*y*y**(-1/25) assuming y is positive.\n' | b'y**(4299/25)\n' | deepmind/math_dataset |
b'Differentiate -82 + y**2 - 2*y**2 + 79 wrt y.\n' | b'-2*y\n' | b'Differentiate -82 + y**2 - 2*y**2 + 79 wrt y.\n' | b'-2*y\n' | deepmind/math_dataset |
b'What is prob of sequence zz when two letters picked without replacement from {r: 1, b: 2, p: 1, z: 3}?\n' | b'1/7\n' | b'What is prob of sequence zz when two letters picked without replacement from {r: 1, b: 2, p: 1, z: 3}?\n' | b'1/7\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gbrgbgygrgggeg. What is prob of picking 1 y, 1 e, and 1 b?\n' | b'1/182\n' | b'Three letters picked without replacement from gbrgbgygrgggeg. What is prob of picking 1 y, 1 e, and 1 b?\n' | b'1/182\n' | deepmind/math_dataset |
b'Let m be 3168/(-108)*(-123)/4. Suppose 0 = -5*s - m + 912. Solve -12 = -4*c, f - 2*c - s*c = -16 for f.\n' | b'-4\n' | b'Let m be 3168/(-108)*(-123)/4. Suppose 0 = -5*s - m + 912. Solve -12 = -4*c, f - 2*c - s*c = -16 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Let n = 11 + -8. Suppose -r - 5 = -l + n, 5*r = -l + 14. Let k = -6 + l. Solve 5*w - 11 = q, -2*w - 1 + 8 = -k*q for w.\n' | b'2\n' | b'Let n = 11 + -8. Suppose -r - 5 = -l + n, 5*r = -l + 14. Let k = -6 + l. Solve 5*w - 11 = q, -2*w - 1 + 8 = -k*q for w.\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence ror when three letters picked without replacement from frfffroroforffffofff?\n' | b'2/285\n' | b'What is prob of sequence ror when three letters picked without replacement from frfffroroforffffofff?\n' | b'2/285\n' | deepmind/math_dataset |
b'Let q(o) = -2*o. Let s(t) = -17. Let p(b) = 2*q(b) + s(b). Determine p(-13).\n' | b'35\n' | b'Let q(o) = -2*o. Let s(t) = -17. Let p(b) = 2*q(b) + s(b). Determine p(-13).\n' | b'35\n' | deepmind/math_dataset |
b'What is prob of picking 1 n and 1 q when two letters picked without replacement from {n: 1, q: 2, g: 2}?\n' | b'1/5\n' | b'What is prob of picking 1 n and 1 q when two letters picked without replacement from {n: 1, q: 2, g: 2}?\n' | b'1/5\n' | deepmind/math_dataset |
b'Simplify (((j**(-25)/j**(-13))**(-34))**(-2/95))**(2/15) assuming j is positive.\n' | b'j**(-544/475)\n' | b'Simplify (((j**(-25)/j**(-13))**(-34))**(-2/95))**(2/15) assuming j is positive.\n' | b'j**(-544/475)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 u when two letters picked without replacement from {z: 2, l: 3, h: 4, a: 1, u: 3, v: 2}.\n' | b'1/35\n' | b'Calculate prob of picking 2 u when two letters picked without replacement from {z: 2, l: 3, h: 4, a: 1, u: 3, v: 2}.\n' | b'1/35\n' | deepmind/math_dataset |
b'Suppose 0 = 33*p - 24*p. Solve 5*n + v - 20 = p, n + 4*v - 7*v + 12 = 0 for n.\n' | b'3\n' | b'Suppose 0 = 33*p - 24*p. Solve 5*n + v - 20 = p, n + 4*v - 7*v + 12 = 0 for n.\n' | b'3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 5, h: 2, u: 2, o: 1, a: 10}. What is prob of sequence oa?\n' | b'1/38\n' | b'Two letters picked without replacement from {g: 5, h: 2, u: 2, o: 1, a: 10}. What is prob of sequence oa?\n' | b'1/38\n' | deepmind/math_dataset |
b'Let t be (-7 - -5 - 9)*-2. Solve -2*d + 4 = 3*i, t = 2*d - 4*i + 4 for d.\n' | b'5\n' | b'Let t be (-7 - -5 - 9)*-2. Solve -2*d + 4 = 3*i, t = 2*d - 4*i + 4 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Let y = 71 + -67. Suppose -5*r - 3*z + 38 = 0, 9 + 23 = 4*r + y*z. What is the derivative of -v**2 + 24 - 12*v**2 - r*v**2 wrt v?\n' | b'-40*v\n' | b'Let y = 71 + -67. Suppose -5*r - 3*z + 38 = 0, 9 + 23 = 4*r + y*z. What is the derivative of -v**2 + 24 - 12*v**2 - r*v**2 wrt v?\n' | b'-40*v\n' | deepmind/math_dataset |
b'Simplify (r**5/(r**0*r)*r**(-6)*r**(-5))/((r/(r/(r**(-1/2)/r*r*r)))**(-13))**32 assuming r is positive.\n' | b'r**201\n' | b'Simplify (r**5/(r**0*r)*r**(-6)*r**(-5))/((r/(r/(r**(-1/2)/r*r*r)))**(-13))**32 assuming r is positive.\n' | b'r**201\n' | deepmind/math_dataset |
b'Suppose 0 = -5*o - 3*v + 24, 0 = 3*o + o - 2*v - 6. Suppose -3*p = -36 + 15. Solve -o*b = -9, -b + p = -4*h - 4*b for h.\n' | b'-4\n' | b'Suppose 0 = -5*o - 3*v + 24, 0 = 3*o + o - 2*v - 6. Suppose -3*p = -36 + 15. Solve -o*b = -9, -b + p = -4*h - 4*b for h.\n' | b'-4\n' | deepmind/math_dataset |
b'Let w(r) be the third derivative of -r**6/120 - r**5/10 - r**4/24 - 35*r**3/6 + 2*r**2 + r + 120. Give w(-6).\n' | b'-29\n' | b'Let w(r) be the third derivative of -r**6/120 - r**5/10 - r**4/24 - 35*r**3/6 + 2*r**2 + r + 120. Give w(-6).\n' | b'-29\n' | deepmind/math_dataset |
b'Let o(h) = -2*h - 7. Let v be o(-5). Let z be 4/(-6) + (-101)/(-3). Solve 2*q = -v*k - 23, -4*q + 2*q = 5*k + z for k.\n' | b'-5\n' | b'Let o(h) = -2*h - 7. Let v be o(-5). Let z be 4/(-6) + (-101)/(-3). Solve 2*q = -v*k - 23, -4*q + 2*q = 5*k + z for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify ((b/(b*b**1/b)*b*b**(1/20))/(b**(5/2)*b/(b*b*b**(-2/15)*b*b*b*b)))**(24/11) assuming b is positive.\n' | b'b**(82/11)\n' | b'Simplify ((b/(b*b**1/b)*b*b**(1/20))/(b**(5/2)*b/(b*b*b**(-2/15)*b*b*b*b)))**(24/11) assuming b is positive.\n' | b'b**(82/11)\n' | deepmind/math_dataset |
b'Find the third derivative of 1048*i**6 - 25*i**2 + 15*i**2 - 8*i - 6*i + 8*i**2 wrt i.\n' | b'125760*i**3\n' | b'Find the third derivative of 1048*i**6 - 25*i**2 + 15*i**2 - 8*i - 6*i + 8*i**2 wrt i.\n' | b'125760*i**3\n' | deepmind/math_dataset |
b'What is prob of sequence wc when two letters picked without replacement from nkcwkknnnkkkwkinwnk?\n' | b'1/114\n' | b'What is prob of sequence wc when two letters picked without replacement from nkcwkknnnkkkwkinwnk?\n' | b'1/114\n' | deepmind/math_dataset |
b'Two letters picked without replacement from qwwjrjwrrwjssrqs. What is prob of sequence wr?\n' | b'1/15\n' | b'Two letters picked without replacement from qwwjrjwrrwjssrqs. What is prob of sequence wr?\n' | b'1/15\n' | deepmind/math_dataset |
b'Let g be -2 + -2 - -5 - -7. Let l(h) = 6*h + 9. Let z(c) = -2*c - 3. Let k(x) = g*z(x) + 3*l(x). What is the first derivative of k(b) wrt b?\n' | b'2\n' | b'Let g be -2 + -2 - -5 - -7. Let l(h) = 6*h + 9. Let z(c) = -2*c - 3. Let k(x) = g*z(x) + 3*l(x). What is the first derivative of k(b) wrt b?\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence ffc when three letters picked without replacement from {j: 1, c: 1, b: 1, f: 5, w: 4}?\n' | b'1/66\n' | b'What is prob of sequence ffc when three letters picked without replacement from {j: 1, c: 1, b: 1, f: 5, w: 4}?\n' | b'1/66\n' | deepmind/math_dataset |
b'Let v = 26161 + -26158. Solve 2*c = q + 12 - v, 0 = 4*q + 3*c - 8 for q.\n' | b'-1\n' | b'Let v = 26161 + -26158. Solve 2*c = q + 12 - v, 0 = 4*q + 3*c - 8 for q.\n' | b'-1\n' | deepmind/math_dataset |
b'Let p be 2/(-3)*12/8. Suppose -3*k + 5*h + 34 = 0, 11 - 1 = -2*h. Let g(y) = -2*y + k*y - 7*y**2 - 1 - 3*y. Calculate g(p).\n' | b'-6\n' | b'Let p be 2/(-3)*12/8. Suppose -3*k + 5*h + 34 = 0, 11 - 1 = -2*h. Let g(y) = -2*y + k*y - 7*y**2 - 1 - 3*y. Calculate g(p).\n' | b'-6\n' | deepmind/math_dataset |
b'Let h(q) be the third derivative of -4*q**2 + 0*q**6 + 0*q**3 - 7/60*q**5 + 0*q + 0*q**4 + 0 + 1/42*q**7. What is the third derivative of h(g) wrt g?\n' | b'120*g\n' | b'Let h(q) be the third derivative of -4*q**2 + 0*q**6 + 0*q**3 - 7/60*q**5 + 0*q + 0*q**4 + 0 + 1/42*q**7. What is the third derivative of h(g) wrt g?\n' | b'120*g\n' | deepmind/math_dataset |
b'Simplify ((p/p**(-2/7))/p**(-9)*p*p/(p/(p**(-1/4)*p*p)*p)*p**(-5))/(p*(p**(-1/9)*p)/p*p**(-13))**(-7/5) assuming p is positive.\n' | b'p**(-12499/1260)\n' | b'Simplify ((p/p**(-2/7))/p**(-9)*p*p/(p/(p**(-1/4)*p*p)*p)*p**(-5))/(p*(p**(-1/9)*p)/p*p**(-13))**(-7/5) assuming p is positive.\n' | b'p**(-12499/1260)\n' | deepmind/math_dataset |
b'Suppose 4*h - 17 = a, 4*h - 6*a = -a + 21. Find the second derivative of -32*n + 7*n**h + 22*n + 4 - 4 wrt n.\n' | b'84*n**2\n' | b'Suppose 4*h - 17 = a, 4*h - 6*a = -a + 21. Find the second derivative of -32*n + 7*n**h + 22*n + 4 - 4 wrt n.\n' | b'84*n**2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {t: 11, w: 9}. What is prob of picking 3 t?\n' | b'11/76\n' | b'Three letters picked without replacement from {t: 11, w: 9}. What is prob of picking 3 t?\n' | b'11/76\n' | deepmind/math_dataset |
b'Let b be 381/635*(-60)/(-9). Solve 0 = 572*k - 570*k - t, -b*k = -5*t + 12 for k.\n' | b'2\n' | b'Let b be 381/635*(-60)/(-9). Solve 0 = 572*k - 570*k - t, -b*k = -5*t + 12 for k.\n' | b'2\n' | deepmind/math_dataset |
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