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'What is prob of picking 1 b and 1 s when two letters picked without replacement from {b: 1, s: 4, n: 5, k: 8}?\n' | b'4/153\n' | b'What is prob of picking 1 b and 1 s when two letters picked without replacement from {b: 1, s: 4, n: 5, k: 8}?\n' | b'4/153\n' | deepmind/math_dataset |
b'Simplify ((k**(-2))**39*k*k/(k*k*k**(-7)/k)*k/(k**(-2/23)/k))/((k**(-8)/k)/(k*k**(1/2)))**(10/17) assuming k is positive.\n' | b'k**(-24139/391)\n' | b'Simplify ((k**(-2))**39*k*k/(k*k*k**(-7)/k)*k/(k**(-2/23)/k))/((k**(-8)/k)/(k*k**(1/2)))**(10/17) assuming k is positive.\n' | b'k**(-24139/391)\n' | deepmind/math_dataset |
b'Differentiate 83 - 136 + 12*i**2 - 163 - 2*i**2 + i**2 + i with respect to i.\n' | b'22*i + 1\n' | b'Differentiate 83 - 136 + 12*i**2 - 163 - 2*i**2 + i**2 + i with respect to i.\n' | b'22*i + 1\n' | deepmind/math_dataset |
b'Simplify (n*n**(-1)*n*n)**(4/5)*(n**(-1/2))**(-32)*(n*n*n*n/(n**(-5/3)*n*n)*n)/(n*n**(-3))*(n**(-1))**36 assuming n is positive.\n' | b'n**(-176/15)\n' | b'Simplify (n*n**(-1)*n*n)**(4/5)*(n**(-1/2))**(-32)*(n*n*n*n/(n**(-5/3)*n*n)*n)/(n*n**(-3))*(n**(-1))**36 assuming n is positive.\n' | b'n**(-176/15)\n' | deepmind/math_dataset |
b'Let p(g) = -2*g**3 - 4*g**2 + 5. Let z be 14/7 - (0 + 0). Let u(t) = 3*t**3 - t**2 - z - 2*t**3 + 2. Let c(y) = p(y) - 4*u(y). Differentiate c(k) wrt k.\n' | b'-18*k**2\n' | b'Let p(g) = -2*g**3 - 4*g**2 + 5. Let z be 14/7 - (0 + 0). Let u(t) = 3*t**3 - t**2 - z - 2*t**3 + 2. Let c(y) = p(y) - 4*u(y). Differentiate c(k) wrt k.\n' | b'-18*k**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ipiiiiiiiipiippgp. What is prob of picking 2 i?\n' | b'55/136\n' | b'Two letters picked without replacement from ipiiiiiiiipiippgp. What is prob of picking 2 i?\n' | b'55/136\n' | deepmind/math_dataset |
b'Let q(c) be the first derivative of 3/2*c**2 - 5/3*c**3 - 69 + 1/4*c**4 + 3*c. Calculate q(4).\n' | b'-1\n' | b'Let q(c) be the first derivative of 3/2*c**2 - 5/3*c**3 - 69 + 1/4*c**4 + 3*c. Calculate q(4).\n' | b'-1\n' | deepmind/math_dataset |
b'Let v(f) = 21 - 11 - 11 + 2*f - 5 - 13. Determine v(6).\n' | b'-7\n' | b'Let v(f) = 21 - 11 - 11 + 2*f - 5 - 13. Determine v(6).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose 36 = 10*a + 6. Solve a*d + 28 = -3*g + 7*d, 2*g + 28 = 5*d for g.\n' | b'-4\n' | b'Suppose 36 = 10*a + 6. Solve a*d + 28 = -3*g + 7*d, 2*g + 28 = 5*d for g.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((r/(r*r**(5/8)))/(r*r*r**(2/9)*r))/(r**(-21)*r*r**(2/27)) assuming r is positive.\n' | b'r**(3473/216)\n' | b'Simplify ((r/(r*r**(5/8)))/(r*r*r**(2/9)*r))/(r**(-21)*r*r**(2/27)) assuming r is positive.\n' | b'r**(3473/216)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from zzzzziizillzzii. What is prob of picking 3 l and 1 z?\n' | b'0\n' | b'Four letters picked without replacement from zzzzziizillzzii. What is prob of picking 3 l and 1 z?\n' | b'0\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 4, c: 2}. Give prob of picking 2 g.\n' | b'2/5\n' | b'Two letters picked without replacement from {g: 4, c: 2}. Give prob of picking 2 g.\n' | b'2/5\n' | deepmind/math_dataset |
b'Let r(j) be the first derivative of -j**4/4 + 2*j**3 + 4*j**2 + j - 52. Determine r(7).\n' | b'8\n' | b'Let r(j) be the first derivative of -j**4/4 + 2*j**3 + 4*j**2 + j - 52. Determine r(7).\n' | b'8\n' | deepmind/math_dataset |
b'Calculate prob of sequence nn when two letters picked without replacement from {n: 4, q: 2}.\n' | b'2/5\n' | b'Calculate prob of sequence nn when two letters picked without replacement from {n: 4, q: 2}.\n' | b'2/5\n' | deepmind/math_dataset |
b'Simplify ((y*y**(1/4)*y)/y**(-6))/(y*y**2*y*y**(-3/2)*y)*y/(y**7*y)*y*y/((y**3/y)/y)*y*(y**(-1))**36 assuming y is positive.\n' | b'y**(-145/4)\n' | b'Simplify ((y*y**(1/4)*y)/y**(-6))/(y*y**2*y*y**(-3/2)*y)*y/(y**7*y)*y*y/((y**3/y)/y)*y*(y**(-1))**36 assuming y is positive.\n' | b'y**(-145/4)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uhmmummhmhmuh. What is prob of picking 2 m?\n' | b'5/26\n' | b'Two letters picked without replacement from uhmmummhmhmuh. What is prob of picking 2 m?\n' | b'5/26\n' | deepmind/math_dataset |
b'Calculate prob of sequence tttm when four letters picked without replacement from tttmtmttmtm.\n' | b'7/66\n' | b'Calculate prob of sequence tttm when four letters picked without replacement from tttmtmttmtm.\n' | b'7/66\n' | deepmind/math_dataset |
b'Let w(d) be the third derivative of -4*d - 73/210*d**7 + 5*d**2 - 1/3*d**3 + 0*d**6 + 0*d**5 + 0 + 11/8*d**4. Find the second derivative of w(j) wrt j.\n' | b'-876*j**2\n' | b'Let w(d) be the third derivative of -4*d - 73/210*d**7 + 5*d**2 - 1/3*d**3 + 0*d**6 + 0*d**5 + 0 + 11/8*d**4. Find the second derivative of w(j) wrt j.\n' | b'-876*j**2\n' | deepmind/math_dataset |
b'Let s(m) = 0*m - 2*m + 2 + 4*m. Let y(h) = 2*h + 26. Let w(c) = 9*c + 129. Let t(u) = 2*w(u) - 11*y(u). Let r be t(-6). Calculate s(r).\n' | b'-6\n' | b'Let s(m) = 0*m - 2*m + 2 + 4*m. Let y(h) = 2*h + 26. Let w(c) = 9*c + 129. Let t(u) = 2*w(u) - 11*y(u). Let r be t(-6). Calculate s(r).\n' | b'-6\n' | deepmind/math_dataset |
b'Let g(j) = j**3 - 4. Let m be g(0). Let a(o) = o**2 - 5*o - 20. Let h be a(m). What is the derivative of h*t**4 - 36*t**4 + t**4 + 2 wrt t?\n' | b'-76*t**3\n' | b'Let g(j) = j**3 - 4. Let m be g(0). Let a(o) = o**2 - 5*o - 20. Let h be a(m). What is the derivative of h*t**4 - 36*t**4 + t**4 + 2 wrt t?\n' | b'-76*t**3\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 7, h: 2, a: 1}.\n' | b'7/45\n' | b'Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 7, h: 2, a: 1}.\n' | b'7/45\n' | deepmind/math_dataset |
b'Let u(o) be the first derivative of o**2/2 - 1. Let h(i) = -34 + 12*i + 32 + i**2 + 0*i**2. Let f be h(-12). Give u(f).\n' | b'-2\n' | b'Let u(o) be the first derivative of o**2/2 - 1. Let h(i) = -34 + 12*i + 32 + i**2 + 0*i**2. Let f be h(-12). Give u(f).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, m: 2}.\n' | b'1/5\n' | b'Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, m: 2}.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let h = 19 + -19. Let i = -14 - -20. Suppose -2*t + h = -i. Solve t*f + 3 = -2*p, -2*p - 2*p = -12 for f.\n' | b'-3\n' | b'Let h = 19 + -19. Let i = -14 - -20. Suppose -2*t + h = -i. Solve t*f + 3 = -2*p, -2*p - 2*p = -12 for f.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify n**(-1/8)/n*n/n**18*(n/(n/((n**(-10/11)/n)/n)))**(-18/11) assuming n is positive.\n' | b'n**(-12937/968)\n' | b'Simplify n**(-1/8)/n*n/n**18*(n/(n/((n**(-10/11)/n)/n)))**(-18/11) assuming n is positive.\n' | b'n**(-12937/968)\n' | deepmind/math_dataset |
b'Let p(q) = 5*q + 6 + 44*q**2 - q - 42*q**2 - 3*q**2. Suppose 2*u + 3 = 4*v - 7, 0 = u - v. What is p(u)?\n' | b'1\n' | b'Let p(q) = 5*q + 6 + 44*q**2 - q - 42*q**2 - 3*q**2. Suppose 2*u + 3 = 4*v - 7, 0 = u - v. What is p(u)?\n' | b'1\n' | deepmind/math_dataset |
b'Let u be 2/6 - (19/3 - 3). Let c(t) = -8*t - 22. Let d be c(u). Suppose -d*y = -93 + 79. Solve 3*l + 17 = 5*i, -y*i - 2 = -5*i + l for i.\n' | b'1\n' | b'Let u be 2/6 - (19/3 - 3). Let c(t) = -8*t - 22. Let d be c(u). Suppose -d*y = -93 + 79. Solve 3*l + 17 = 5*i, -y*i - 2 = -5*i + l for i.\n' | b'1\n' | deepmind/math_dataset |
b'Let p(l) = 16*l + 8 - 9 - 9. Let w be p(1). Let x(i) = -i**2 + 8*i - 6. Determine x(w).\n' | b'6\n' | b'Let p(l) = 16*l + 8 - 9 - 9. Let w be p(1). Let x(i) = -i**2 + 8*i - 6. Determine x(w).\n' | b'6\n' | deepmind/math_dataset |
b'What is prob of sequence jxxx when four letters picked without replacement from jxxxjxxjxjjjj?\n' | b'7/143\n' | b'What is prob of sequence jxxx when four letters picked without replacement from jxxxjxxjxjjjj?\n' | b'7/143\n' | deepmind/math_dataset |
b'Simplify ((y**(3/11)/y)/(y/(((y/y**(-1/5))/y*y)/y)))**(-22) assuming y is positive.\n' | b'y**(168/5)\n' | b'Simplify ((y**(3/11)/y)/(y/(((y/y**(-1/5))/y*y)/y)))**(-22) assuming y is positive.\n' | b'y**(168/5)\n' | deepmind/math_dataset |
b'Let o = -31 - -35. Let k(m) = m - 2. What is k(o)?\n' | b'2\n' | b'Let o = -31 - -35. Let k(m) = m - 2. What is k(o)?\n' | b'2\n' | deepmind/math_dataset |
b'Simplify g**11/(g**2*g) assuming g is positive.\n' | b'g**8\n' | b'Simplify g**11/(g**2*g) assuming g is positive.\n' | b'g**8\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 2, r: 2}.\n' | b'2/3\n' | b'Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {h: 2, r: 2}.\n' | b'2/3\n' | deepmind/math_dataset |
b'Calculate prob of sequence hm when two letters picked without replacement from {m: 5, z: 1, h: 2, e: 1}.\n' | b'5/36\n' | b'Calculate prob of sequence hm when two letters picked without replacement from {m: 5, z: 1, h: 2, e: 1}.\n' | b'5/36\n' | deepmind/math_dataset |
b'Simplify (s**6/s*s*s**1*(s/(s/s**(-1/2)))**(1/18))/(s**(-3)*s**(2/13)*(s*(s*s/s**(1/3)*s)/s)**(34/7)) assuming s is positive.\n' | b's**(-10267/3276)\n' | b'Simplify (s**6/s*s*s**1*(s/(s/s**(-1/2)))**(1/18))/(s**(-3)*s**(2/13)*(s*(s*s/s**(1/3)*s)/s)**(34/7)) assuming s is positive.\n' | b's**(-10267/3276)\n' | deepmind/math_dataset |
b'What is prob of sequence ihh when three letters picked without replacement from ihhhrhiihihhiirhiii?\n' | b'28/323\n' | b'What is prob of sequence ihh when three letters picked without replacement from ihhhrhiihihhiirhiii?\n' | b'28/323\n' | deepmind/math_dataset |
b'Let c be -4 + 12 - (-1 - 0). Find the second derivative of -9*k**2 + 2*k**3 - 3*k + c*k**2 wrt k.\n' | b'12*k\n' | b'Let c be -4 + 12 - (-1 - 0). Find the second derivative of -9*k**2 + 2*k**3 - 3*k + c*k**2 wrt k.\n' | b'12*k\n' | deepmind/math_dataset |
b'Simplify (l/((l*l*l**(-2/5)*l)/l)*(l*l**(1/5)*l)/l)**(-27)/(((l*l/l**1)/l)**(-1/48))**(-2/3) assuming l is positive.\n' | b'l**(-81/5)\n' | b'Simplify (l/((l*l*l**(-2/5)*l)/l)*(l*l**(1/5)*l)/l)**(-27)/(((l*l/l**1)/l)**(-1/48))**(-2/3) assuming l is positive.\n' | b'l**(-81/5)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from uuueewvvevuvutwu. What is prob of picking 2 v and 1 u?\n' | b'9/140\n' | b'Three letters picked without replacement from uuueewvvevuvutwu. What is prob of picking 2 v and 1 u?\n' | b'9/140\n' | deepmind/math_dataset |
b'What is prob of sequence tzdv when four letters picked without replacement from tdvttmttmovzvm?\n' | b'5/8008\n' | b'What is prob of sequence tzdv when four letters picked without replacement from tdvttmttmovzvm?\n' | b'5/8008\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r, 1 s, and 1 h when three letters picked without replacement from {s: 10, w: 1, h: 2, r: 1}.\n' | b'5/91\n' | b'Calculate prob of picking 1 r, 1 s, and 1 h when three letters picked without replacement from {s: 10, w: 1, h: 2, r: 1}.\n' | b'5/91\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 1, j: 2, o: 2, i: 6, p: 7}. Give prob of picking 3 i and 1 g.\n' | b'1/153\n' | b'Four letters picked without replacement from {g: 1, j: 2, o: 2, i: 6, p: 7}. Give prob of picking 3 i and 1 g.\n' | b'1/153\n' | deepmind/math_dataset |
b'Let v(x) = x**3 + 4*x**2 + 2*x. Let b = -3 - -6. Suppose -3 = 2*u + b. What is v(u)?\n' | b'3\n' | b'Let v(x) = x**3 + 4*x**2 + 2*x. Let b = -3 - -6. Suppose -3 = 2*u + b. What is v(u)?\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (d**(-1/4)/d)**(-2/11)*d**(-2)*d*d**0*d**2*(d**(-1/3)*d)/d*d*(d/(d**(-6)/d*d))/d*d**(-4/7) assuming d is positive.\n' | b'd**(3383/462)\n' | b'Simplify (d**(-1/4)/d)**(-2/11)*d**(-2)*d*d**0*d**2*(d**(-1/3)*d)/d*d*(d/(d**(-6)/d*d))/d*d**(-4/7) assuming d is positive.\n' | b'd**(3383/462)\n' | deepmind/math_dataset |
b'Let d be -7 - -2*-2*(-4)/16. Let g(x) = x**2 + x - 2. Let f be g(-2). Let u be f - 2 - (d + -1). Let s(k) = -k**2 + 4*k - 1. Determine s(u).\n' | b'-6\n' | b'Let d be -7 - -2*-2*(-4)/16. Let g(x) = x**2 + x - 2. Let f be g(-2). Let u be f - 2 - (d + -1). Let s(k) = -k**2 + 4*k - 1. Determine s(u).\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 6*m = -2*f + 2*m + 398, 174 = f - 3*m. Let s be 54/f + (-54)/(-7). Solve 4 = 4*q - 4*t - 12, 0 = -2*q - t + s for q.\n' | b'4\n' | b'Suppose 6*m = -2*f + 2*m + 398, 174 = f - 3*m. Let s be 54/f + (-54)/(-7). Solve 4 = 4*q - 4*t - 12, 0 = -2*q - t + s for q.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 g when two letters picked without replacement from {c: 1, h: 3, o: 3, r: 2, g: 5, e: 1}.\n' | b'2/21\n' | b'Calculate prob of picking 2 g when two letters picked without replacement from {c: 1, h: 3, o: 3, r: 2, g: 5, e: 1}.\n' | b'2/21\n' | deepmind/math_dataset |
b'Let s(w) = -3*w**2 - 5*w + 4*w**2 + 12 + 13*w - 2*w**2. Let p be s(9). Let m be (-2 - (-2)/4)/((-68)/1496). Solve 5*k - m = 2*z, p*z + 2*z = -5*k + 5 for z.\n' | b'-4\n' | b'Let s(w) = -3*w**2 - 5*w + 4*w**2 + 12 + 13*w - 2*w**2. Let p be s(9). Let m be (-2 - (-2)/4)/((-68)/1496). Solve 5*k - m = 2*z, p*z + 2*z = -5*k + 5 for z.\n' | b'-4\n' | deepmind/math_dataset |
b'Let q(g) be the second derivative of 5*g**4/6 + g**3/3 + 3*g**2/2 + 2*g. Let a be q(-2). What is the first derivative of a + 7*h + 45 - 81 wrt h?\n' | b'7\n' | b'Let q(g) be the second derivative of 5*g**4/6 + g**3/3 + 3*g**2/2 + 2*g. Let a be q(-2). What is the first derivative of a + 7*h + 45 - 81 wrt h?\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (((i*i*i**(-1)/i*i)/i*i)**(-24))**34 assuming i is positive.\n' | b'i**(-816)\n' | b'Simplify (((i*i*i**(-1)/i*i)/i*i)**(-24))**34 assuming i is positive.\n' | b'i**(-816)\n' | deepmind/math_dataset |
b'Let p(k) = 2*k - 12. Let o be p(7). Suppose 0 = o*h + 2*h. Solve h*g + 4*x = -5*g + 1, -3*g - 3*x = 0 for g.\n' | b'1\n' | b'Let p(k) = 2*k - 12. Let o be p(7). Suppose 0 = o*h + 2*h. Solve h*g + 4*x = -5*g + 1, -3*g - 3*x = 0 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Let o be (2 - 0) + -2 + 0. What is the first derivative of 2*w**2 + 3 - 2 + o + 3 wrt w?\n' | b'4*w\n' | b'Let o be (2 - 0) + -2 + 0. What is the first derivative of 2*w**2 + 3 - 2 + o + 3 wrt w?\n' | b'4*w\n' | deepmind/math_dataset |
b'Let v be 1*(-3 - (-2 + 0)). Let c(w) = -10*w - 2. Let j(g) = 15*g + 3. Let q(u) = -8*c(u) - 5*j(u). Calculate q(v).\n' | b'-4\n' | b'Let v be 1*(-3 - (-2 + 0)). Let c(w) = -10*w - 2. Let j(g) = 15*g + 3. Let q(u) = -8*c(u) - 5*j(u). Calculate q(v).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 p when two letters picked without replacement from {b: 1, q: 1, h: 1, g: 2, y: 1, p: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 q and 1 p when two letters picked without replacement from {b: 1, q: 1, h: 1, g: 2, y: 1, p: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let v = -3 + 4. What is the derivative of -3*o**4 - v - 5 - 2*o**4 - 4 wrt o?\n' | b'-20*o**3\n' | b'Let v = -3 + 4. What is the derivative of -3*o**4 - v - 5 - 2*o**4 - 4 wrt o?\n' | b'-20*o**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 1, h: 7, e: 3, c: 2, u: 3, f: 3}. What is prob of sequence ug?\n' | b'1/114\n' | b'Two letters picked without replacement from {g: 1, h: 7, e: 3, c: 2, u: 3, f: 3}. What is prob of sequence ug?\n' | b'1/114\n' | deepmind/math_dataset |
b'Let s = 139 - 136. Suppose 8 = -2*d - s*c, -3*c = -5*c - 8. Suppose 3*v - 6*v - 15 = 5*o, -2*v - 15 = 5*o. Solve 5*w - l = -20, v*w + d*l - 20 = 5*w for w.\n' | b'-4\n' | b'Let s = 139 - 136. Suppose 8 = -2*d - s*c, -3*c = -5*c - 8. Suppose 3*v - 6*v - 15 = 5*o, -2*v - 15 = 5*o. Solve 5*w - l = -20, v*w + d*l - 20 = 5*w for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Suppose 25*t - 5*p = 22*t + 4, -5*t - 5*p - 20 = 0. Let b(m) = -m**2 - 7*m - 3. What is b(t)?\n' | b'7\n' | b'Suppose 25*t - 5*p = 22*t + 4, -5*t - 5*p - 20 = 0. Let b(m) = -m**2 - 7*m - 3. What is b(t)?\n' | b'7\n' | deepmind/math_dataset |
b'Calculate prob of sequence dvvd when four letters picked without replacement from {d: 4, v: 2, i: 4}.\n' | b'1/210\n' | b'Calculate prob of sequence dvvd when four letters picked without replacement from {d: 4, v: 2, i: 4}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Simplify (p**(9/4)/p*p**7)**(39/2) assuming p is positive.\n' | b'p**(1287/8)\n' | b'Simplify (p**(9/4)/p*p**7)**(39/2) assuming p is positive.\n' | b'p**(1287/8)\n' | deepmind/math_dataset |
b'Simplify ((t/((t*t**(-1/2)*t*t*t)/t))**(1/11)*(t*t**(-2/7)*t*t*t*t)**(-10/7))/((t/(t*t**(-1/3))*t/(t/t**3))/(t**5*t**1)) assuming t is positive.\n' | b't**(-13597/3234)\n' | b'Simplify ((t/((t*t**(-1/2)*t*t*t)/t))**(1/11)*(t*t**(-2/7)*t*t*t*t)**(-10/7))/((t/(t*t**(-1/3))*t/(t/t**3))/(t**5*t**1)) assuming t is positive.\n' | b't**(-13597/3234)\n' | deepmind/math_dataset |
b'Suppose -2*k - 2*f + 2 = -6*k, 2*f = 10. Let b(a) = 3*a + 3. Let p(x) = -x + 1. Let v(w) = k*p(w) + b(w). Suppose s + 5 + 1 = 0. What is v(s)?\n' | b'-1\n' | b'Suppose -2*k - 2*f + 2 = -6*k, 2*f = 10. Let b(a) = 3*a + 3. Let p(x) = -x + 1. Let v(w) = k*p(w) + b(w). Suppose s + 5 + 1 = 0. What is v(s)?\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (r**30*r*r**(-3/13)*r)**(-9/4) assuming r is positive.\n' | b'r**(-3717/52)\n' | b'Simplify (r**30*r*r**(-3/13)*r)**(-9/4) assuming r is positive.\n' | b'r**(-3717/52)\n' | deepmind/math_dataset |
b'Find the third derivative of -9*h**4 + 85*h**2 + 621*h**3 - 30 - 169*h**3 - 86 - 98 - 75*h**2 wrt h.\n' | b'-216*h + 2712\n' | b'Find the third derivative of -9*h**4 + 85*h**2 + 621*h**3 - 30 - 169*h**3 - 86 - 98 - 75*h**2 wrt h.\n' | b'-216*h + 2712\n' | deepmind/math_dataset |
b'Simplify (r*r**(4/17))**(-48)/(((r*r**(3/31))/r)/(r*r/r**35*r*r)) assuming r is positive.\n' | b'r**(-47636/527)\n' | b'Simplify (r*r**(4/17))**(-48)/(((r*r**(3/31))/r)/(r*r/r**35*r*r)) assuming r is positive.\n' | b'r**(-47636/527)\n' | deepmind/math_dataset |
b'Suppose -11*a + 39 = 2*a. Let n = -123 + 130. Solve 0*g - y + n = -a*g, g - 2 = -4*y for g.\n' | b'-2\n' | b'Suppose -11*a + 39 = 2*a. Let n = -123 + 130. Solve 0*g - y + n = -a*g, g - 2 = -4*y for g.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((d/(d*d**(3/2)/d))**(-2/7))**(-17/3)/((d**(-1/3))**(-38)*(d**(3/7)/d)/(d**(-8)*d)) assuming d is positive.\n' | b'd**(-418/21)\n' | b'Simplify ((d/(d*d**(3/2)/d))**(-2/7))**(-17/3)/((d**(-1/3))**(-38)*(d**(3/7)/d)/(d**(-8)*d)) assuming d is positive.\n' | b'd**(-418/21)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {m: 3}. What is prob of sequence mmm?\n' | b'1\n' | b'Three letters picked without replacement from {m: 3}. What is prob of sequence mmm?\n' | b'1\n' | deepmind/math_dataset |
b'Let h(t) = -2*t - 5. Let m(r) = -1. Let b(q) = h(q) - 4*m(q). Let i = -449 + 446. Calculate b(i).\n' | b'5\n' | b'Let h(t) = -2*t - 5. Let m(r) = -1. Let b(q) = h(q) - 4*m(q). Let i = -449 + 446. Calculate b(i).\n' | b'5\n' | deepmind/math_dataset |
b'Calculate prob of sequence dsod when four letters picked without replacement from eoddsed.\n' | b'1/140\n' | b'Calculate prob of sequence dsod when four letters picked without replacement from eoddsed.\n' | b'1/140\n' | deepmind/math_dataset |
b'What is prob of sequence ee when two letters picked without replacement from {e: 5, k: 11}?\n' | b'1/12\n' | b'What is prob of sequence ee when two letters picked without replacement from {e: 5, k: 11}?\n' | b'1/12\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 1, m: 1, z: 1, o: 2}. Give prob of sequence zo.\n' | b'1/10\n' | b'Two letters picked without replacement from {d: 1, m: 1, z: 1, o: 2}. Give prob of sequence zo.\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 1, t: 1, h: 3, r: 1, w: 1}?\n' | b'1/21\n' | b'What is prob of picking 1 u and 1 w when two letters picked without replacement from {u: 1, t: 1, h: 3, r: 1, w: 1}?\n' | b'1/21\n' | deepmind/math_dataset |
b'Two letters picked without replacement from milxiiiixxlylxmi. Give prob of sequence lm.\n' | b'1/40\n' | b'Two letters picked without replacement from milxiiiixxlylxmi. Give prob of sequence lm.\n' | b'1/40\n' | deepmind/math_dataset |
b'Suppose -4*w = -12, -4*z - 4*w - 2069 = 55. Let c be z/(-33) + 4/(-22). Solve 3*u - 3 = 2*b + 5, 4*b = -5*u - c for u.\n' | b'0\n' | b'Suppose -4*w = -12, -4*z - 4*w - 2069 = 55. Let c be z/(-33) + 4/(-22). Solve 3*u - 3 = 2*b + 5, 4*b = -5*u - c for u.\n' | b'0\n' | deepmind/math_dataset |
b'Find the third derivative of 4*l - 4*l + 3*l**4 - 3*l**2 - 12*l**4 wrt l.\n' | b'-216*l\n' | b'Find the third derivative of 4*l - 4*l + 3*l**4 - 3*l**2 - 12*l**4 wrt l.\n' | b'-216*l\n' | deepmind/math_dataset |
b'Find the second derivative of 16675*y**2 - 16675*y**2 + 2 + 3*y**3 - 69*y**4 + 269*y wrt y.\n' | b'-828*y**2 + 18*y\n' | b'Find the second derivative of 16675*y**2 - 16675*y**2 + 2 + 3*y**3 - 69*y**4 + 269*y wrt y.\n' | b'-828*y**2 + 18*y\n' | deepmind/math_dataset |
b'Suppose l - 114 = 7*l. Let q = l + 22. Let o = 8 - 6. Solve 14 = -4*m - q*v, -3*m - o*m = v + 12 for m.\n' | b'-2\n' | b'Suppose l - 114 = 7*l. Let q = l + 22. Let o = 8 - 6. Solve 14 = -4*m - q*v, -3*m - o*m = v + 12 for m.\n' | b'-2\n' | deepmind/math_dataset |
b'What is prob of picking 1 e and 1 p when two letters picked without replacement from eeeeeeepeeegeaegsee?\n' | b'14/171\n' | b'What is prob of picking 1 e and 1 p when two letters picked without replacement from eeeeeeepeeegeaegsee?\n' | b'14/171\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 m when two letters picked without replacement from ugmuggggmggggg?\n' | b'4/91\n' | b'What is prob of picking 1 u and 1 m when two letters picked without replacement from ugmuggggmggggg?\n' | b'4/91\n' | deepmind/math_dataset |
b'What is prob of picking 3 u when three letters picked without replacement from fuuuuufuu?\n' | b'5/12\n' | b'What is prob of picking 3 u when three letters picked without replacement from fuuuuufuu?\n' | b'5/12\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {g: 11, e: 9}. Give prob of picking 3 g and 1 e.\n' | b'99/323\n' | b'Four letters picked without replacement from {g: 11, e: 9}. Give prob of picking 3 g and 1 e.\n' | b'99/323\n' | deepmind/math_dataset |
b'Let t = -173 + 175. What is the second derivative of 11*s - t + 10*s + 47*s**3 - 21*s**3 + 15*s**3 wrt s?\n' | b'246*s\n' | b'Let t = -173 + 175. What is the second derivative of 11*s - t + 10*s + 47*s**3 - 21*s**3 + 15*s**3 wrt s?\n' | b'246*s\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ffllfl. What is prob of picking 2 f?\n' | b'1/5\n' | b'Two letters picked without replacement from ffllfl. What is prob of picking 2 f?\n' | b'1/5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cxxx. Give prob of picking 2 x.\n' | b'1/2\n' | b'Two letters picked without replacement from cxxx. Give prob of picking 2 x.\n' | b'1/2\n' | deepmind/math_dataset |
b'Let y(u) be the third derivative of 8*u**6/15 + 9*u**3/2 - 61*u**2. Find the first derivative of y(x) wrt x.\n' | b'192*x**2\n' | b'Let y(u) be the third derivative of 8*u**6/15 + 9*u**3/2 - 61*u**2. Find the first derivative of y(x) wrt x.\n' | b'192*x**2\n' | deepmind/math_dataset |
b'Let w(f) be the second derivative of -f**9/540 + f**5/20 + 5*f**4/2 + 2*f. Let n(o) be the third derivative of w(o). Differentiate n(m) wrt m.\n' | b'-112*m**3\n' | b'Let w(f) be the second derivative of -f**9/540 + f**5/20 + 5*f**4/2 + 2*f. Let n(o) be the third derivative of w(o). Differentiate n(m) wrt m.\n' | b'-112*m**3\n' | deepmind/math_dataset |
b'Let v(i) be the second derivative of -i**4/2 + 4*i**2 - 4*i. Differentiate v(m) with respect to m.\n' | b'-12*m\n' | b'Let v(i) be the second derivative of -i**4/2 + 4*i**2 - 4*i. Differentiate v(m) with respect to m.\n' | b'-12*m\n' | deepmind/math_dataset |
b'Suppose c + 3*x = -9, 3*c + 0*c + x = 13. Suppose -2812 = -d - 2810. Suppose -80 + 76 = -d*k, 5*l = -3*k + 26. Solve l*m + c = -r, 6*m = 2*m + 3*r + 2 for m.\n' | b'-1\n' | b'Suppose c + 3*x = -9, 3*c + 0*c + x = 13. Suppose -2812 = -d - 2810. Suppose -80 + 76 = -d*k, 5*l = -3*k + 26. Solve l*m + c = -r, 6*m = 2*m + 3*r + 2 for m.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, q: 2, t: 1, s: 1}. Give prob of picking 1 t, 1 h, 1 q, and 1 s.\n' | b'4/15\n' | b'Four letters picked without replacement from {h: 2, q: 2, t: 1, s: 1}. Give prob of picking 1 t, 1 h, 1 q, and 1 s.\n' | b'4/15\n' | deepmind/math_dataset |
b'Three letters picked without replacement from mefxfexmf. What is prob of sequence fxx?\n' | b'1/84\n' | b'Three letters picked without replacement from mefxfexmf. What is prob of sequence fxx?\n' | b'1/84\n' | deepmind/math_dataset |
b'Suppose -9*t - 1 + 19 = 0. Let d be ((6/t)/(-9))/((-2)/18). Solve 4*c - d*n - 18 = 0, n = 4*c - 0*n - 14 for c.\n' | b'3\n' | b'Suppose -9*t - 1 + 19 = 0. Let d be ((6/t)/(-9))/((-2)/18). Solve 4*c - d*n - 18 = 0, n = 4*c - 0*n - 14 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Suppose -6*j = -189 - 111. Let z = j - 44. Find the third derivative of 4*r**2 - 20*r**4 - 24*r**3 + z*r**4 + 24*r**3 wrt r.\n' | b'-336*r\n' | b'Suppose -6*j = -189 - 111. Let z = j - 44. Find the third derivative of 4*r**2 - 20*r**4 - 24*r**3 + z*r**4 + 24*r**3 wrt r.\n' | b'-336*r\n' | deepmind/math_dataset |
b'Suppose -5 = -8*w + 9*w. Let o(d) = -4 + d**2 + 4*d + 1 - 2. Determine o(w).\n' | b'0\n' | b'Suppose -5 = -8*w + 9*w. Let o(d) = -4 + d**2 + 4*d + 1 - 2. Determine o(w).\n' | b'0\n' | deepmind/math_dataset |
b'Three letters picked without replacement from pppcpppppcpp. Give prob of sequence cpc.\n' | b'1/66\n' | b'Three letters picked without replacement from pppcpppppcpp. Give prob of sequence cpc.\n' | b'1/66\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {g: 1, h: 3, m: 4, z: 4, e: 1}.\n' | b'2/39\n' | b'Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {g: 1, h: 3, m: 4, z: 4, e: 1}.\n' | b'2/39\n' | deepmind/math_dataset |
b'Simplify (v/(v/v**12)*v/(v/(v/(v**(-2/3)/v*v))))**12 assuming v is positive.\n' | b'v**164\n' | b'Simplify (v/(v/v**12)*v/(v/(v/(v**(-2/3)/v*v))))**12 assuming v is positive.\n' | b'v**164\n' | deepmind/math_dataset |
b'Suppose -u = -2*u. Suppose -d = -u*d - 5. What is the second derivative of 2*s**d + 2*s - s - 2*s wrt s?\n' | b'40*s**3\n' | b'Suppose -u = -2*u. Suppose -d = -u*d - 5. What is the second derivative of 2*s**d + 2*s - s - 2*s wrt s?\n' | b'40*s**3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {p: 3, z: 3, q: 3, y: 6, b: 1}. Give prob of picking 2 y and 2 z.\n' | b'9/364\n' | b'Four letters picked without replacement from {p: 3, z: 3, q: 3, y: 6, b: 1}. Give prob of picking 2 y and 2 z.\n' | b'9/364\n' | deepmind/math_dataset |
b'Simplify ((d*d**(6/5)*d)/(d/(d*d**4/d)*d)*d**(-2/11)*d*d/d**(-2/7)*d)**(-4/9) assuming d is positive.\n' | b'd**(-12788/3465)\n' | b'Simplify ((d*d**(6/5)*d)/(d/(d*d**4/d)*d)*d**(-2/11)*d*d/d**(-2/7)*d)**(-4/9) assuming d is positive.\n' | b'd**(-12788/3465)\n' | deepmind/math_dataset |
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