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'Four letters picked without replacement from {q: 1, e: 2, z: 3, t: 3, j: 1, k: 1}. What is prob of picking 1 t, 1 q, and 2 z?\n' | b'3/110\n' | b'Four letters picked without replacement from {q: 1, e: 2, z: 3, t: 3, j: 1, k: 1}. What is prob of picking 1 t, 1 q, and 2 z?\n' | b'3/110\n' | deepmind/math_dataset |
b'Suppose 0 = -s - 2*i + 7, -5*s + 163*i = 161*i - 83. Solve -s = -5*b + 2*n, -2*b = -4*n - 73 + 51 for b.\n' | b'1\n' | b'Suppose 0 = -s - 2*i + 7, -5*s + 163*i = 161*i - 83. Solve -s = -5*b + 2*n, -2*b = -4*n - 73 + 51 for b.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify (j*j**(-5/2))/j*j**(-1/6)*j**(3/7)*j/((j/(j*(j/j**(-6))/j))/j)*j*j*(j/((j**(1/3)/j)/j)*j/(j*j*j*j*j*j**(-13)*j)*j)**(-10/9) assuming j is positive.\n' | b'j**(-983/189)\n' | b'Simplify (j*j**(-5/2))/j*j**(-1/6)*j**(3/7)*j/((j/(j*(j/j**(-6))/j))/j)*j*j*(j/((j**(1/3)/j)/j)*j/(j*j*j*j*j*j**(-13)*j)*j)**(-10/9) assuming j is positive.\n' | b'j**(-983/189)\n' | deepmind/math_dataset |
b'Let f = 2685 - 2682. Solve 5*l = f*a, -12*a + 3*l = -10*a + 1 for a.\n' | b'-5\n' | b'Let f = 2685 - 2682. Solve 5*l = f*a, -12*a + 3*l = -10*a + 1 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o(x) = -x - x + x - 71 + 73. Calculate o(9).\n' | b'-7\n' | b'Let o(x) = -x - x + x - 71 + 73. Calculate o(9).\n' | b'-7\n' | deepmind/math_dataset |
b'Suppose 5*b = u + 10, -2*u + 10 = -0*u + 5*b. Let i be (2 - u)*1 - -3. Suppose i*h + 8 = -7. Let x(r) = -r**3 - 3*r**2 - 3. What is x(h)?\n' | b'-3\n' | b'Suppose 5*b = u + 10, -2*u + 10 = -0*u + 5*b. Let i be (2 - u)*1 - -3. Suppose i*h + 8 = -7. Let x(r) = -r**3 - 3*r**2 - 3. What is x(h)?\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(x) be the second derivative of 19*x**9/504 - x**5/30 - 5*x**2 - 24*x. Let i(m) be the first derivative of d(m). Find the third derivative of i(b) wrt b.\n' | b'2280*b**3\n' | b'Let d(x) be the second derivative of 19*x**9/504 - x**5/30 - 5*x**2 - 24*x. Let i(m) be the first derivative of d(m). Find the third derivative of i(b) wrt b.\n' | b'2280*b**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence uz when two letters picked without replacement from {j: 2, c: 1, u: 1, z: 2}.\n' | b'1/15\n' | b'Calculate prob of sequence uz when two letters picked without replacement from {j: 2, c: 1, u: 1, z: 2}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let u be -4*34 - (-3)/3. Let b be (-7)/9 - (-30)/u. Let k(n) be the first derivative of -8*n**3/3 - n**2 - n - 2. Determine k(b).\n' | b'-7\n' | b'Let u be -4*34 - (-3)/3. Let b be (-7)/9 - (-30)/u. Let k(n) be the first derivative of -8*n**3/3 - n**2 - n - 2. Determine k(b).\n' | b'-7\n' | deepmind/math_dataset |
b'Simplify ((f**(2/7)/f)/f)**4/((f/(f/f**(-14)))/((f*f*f**(10/9))/f)) assuming f is positive.\n' | b'f**(583/63)\n' | b'Simplify ((f**(2/7)/f)/f)**4/((f/(f/f**(-14)))/((f*f*f**(10/9))/f)) assuming f is positive.\n' | b'f**(583/63)\n' | deepmind/math_dataset |
b'Calculate prob of sequence dc when two letters picked without replacement from scwbd.\n' | b'1/20\n' | b'Calculate prob of sequence dc when two letters picked without replacement from scwbd.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let h be -1 + 19 - 11 - 3. Solve -3*a - 4 = -h*x, 6 + 8 = -x - 3*a for x.\n' | b'-2\n' | b'Let h be -1 + 19 - 11 - 3. Solve -3*a - 4 = -h*x, 6 + 8 = -x - 3*a for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence eyy when three letters picked without replacement from {y: 2, q: 1, e: 4}.\n' | b'4/105\n' | b'Calculate prob of sequence eyy when three letters picked without replacement from {y: 2, q: 1, e: 4}.\n' | b'4/105\n' | deepmind/math_dataset |
b'Let m(p) = -p**3 - 6*p**2 - 7*p - 7. Let d be m(-5). Let j be 1*-2 - (-29 - d). Let v = -25 + j. Solve -4*b - b - 3*x - 35 = 0, -3*b = -v*x - 13 for b.\n' | b'-4\n' | b'Let m(p) = -p**3 - 6*p**2 - 7*p - 7. Let d be m(-5). Let j be 1*-2 - (-29 - d). Let v = -25 + j. Solve -4*b - b - 3*x - 35 = 0, -3*b = -v*x - 13 for b.\n' | b'-4\n' | deepmind/math_dataset |
b'Let z(x) = -38*x**3 + 13*x**2 - 13*x + 27. Let t(u) = -19*u**3 + 6*u**2 - 6*u + 13. Let j(f) = -13*t(f) + 6*z(f). Differentiate j(p) wrt p.\n' | b'57*p**2\n' | b'Let z(x) = -38*x**3 + 13*x**2 - 13*x + 27. Let t(u) = -19*u**3 + 6*u**2 - 6*u + 13. Let j(f) = -13*t(f) + 6*z(f). Differentiate j(p) wrt p.\n' | b'57*p**2\n' | deepmind/math_dataset |
b'Calculate prob of sequence bx when two letters picked without replacement from txmmtgtxbxbmxgw.\n' | b'4/105\n' | b'Calculate prob of sequence bx when two letters picked without replacement from txmmtgtxbxbmxgw.\n' | b'4/105\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 2, b: 1, f: 12, z: 2, m: 1}. Give prob of picking 1 z and 1 m.\n' | b'2/153\n' | b'Two letters picked without replacement from {n: 2, b: 1, f: 12, z: 2, m: 1}. Give prob of picking 1 z and 1 m.\n' | b'2/153\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {i: 5, j: 5}. Give prob of picking 1 i and 1 j.\n' | b'5/9\n' | b'Two letters picked without replacement from {i: 5, j: 5}. Give prob of picking 1 i and 1 j.\n' | b'5/9\n' | deepmind/math_dataset |
b'Simplify (((h/((h/(h*h**(-13/2)))/h))/h)/h)**19*h/((h/h**(-3/16))/h*h)*(h*h**(2/53)/h*h)/h assuming h is positive.\n' | b'h**(-104855/848)\n' | b'Simplify (((h/((h/(h*h**(-13/2)))/h))/h)/h)**19*h/((h/h**(-3/16))/h*h)*(h*h**(2/53)/h*h)/h assuming h is positive.\n' | b'h**(-104855/848)\n' | deepmind/math_dataset |
b'What is prob of sequence le when two letters picked without replacement from {x: 4, e: 2, y: 1, d: 6, l: 2, w: 3}?\n' | b'2/153\n' | b'What is prob of sequence le when two letters picked without replacement from {x: 4, e: 2, y: 1, d: 6, l: 2, w: 3}?\n' | b'2/153\n' | deepmind/math_dataset |
b'Let j(x) be the second derivative of x**7/21 - 127*x**5/5 + 770*x**3/3 - 5*x - 9. What is the second derivative of j(q) wrt q?\n' | b'40*q**3 - 3048*q\n' | b'Let j(x) be the second derivative of x**7/21 - 127*x**5/5 + 770*x**3/3 - 5*x - 9. What is the second derivative of j(q) wrt q?\n' | b'40*q**3 - 3048*q\n' | deepmind/math_dataset |
b'Let t(j) be the second derivative of 5*j**4/3 - 2*j**3 - 21*j. Find the second derivative of t(i) wrt i.\n' | b'40\n' | b'Let t(j) be the second derivative of 5*j**4/3 - 2*j**3 - 21*j. Find the second derivative of t(i) wrt i.\n' | b'40\n' | deepmind/math_dataset |
b'Let s(t) = t**3 + 2*t**2 - t - 2. Let f be (-12)/(-2) - (1 - -5)/6. Suppose -2*r + f*l + 12 = -r, 4 = -2*l. Give s(r).\n' | b'12\n' | b'Let s(t) = t**3 + 2*t**2 - t - 2. Let f be (-12)/(-2) - (1 - -5)/6. Suppose -2*r + f*l + 12 = -r, 4 = -2*l. Give s(r).\n' | b'12\n' | deepmind/math_dataset |
b'Find the second derivative of 4*z**3 + z**3 - 8*z**3 + z wrt z.\n' | b'-18*z\n' | b'Find the second derivative of 4*z**3 + z**3 - 8*z**3 + z wrt z.\n' | b'-18*z\n' | deepmind/math_dataset |
b'Find the second derivative of -3*k - 17 + 15*k**2 + 17 + 15*k wrt k.\n' | b'30\n' | b'Find the second derivative of -3*k - 17 + 15*k**2 + 17 + 15*k wrt k.\n' | b'30\n' | deepmind/math_dataset |
b'Let x(c) be the first derivative of -147*c**2 - 82*c - 347. Find the first derivative of x(b) wrt b.\n' | b'-294\n' | b'Let x(c) be the first derivative of -147*c**2 - 82*c - 347. Find the first derivative of x(b) wrt b.\n' | b'-294\n' | deepmind/math_dataset |
b'Simplify (a**(-1))**(-44)/((a/(a/(a*a**(7/3))))/((a*a*(a*a**(-2/11)*a*a*a)/a)/a)) assuming a is positive.\n' | b'a**(1468/33)\n' | b'Simplify (a**(-1))**(-44)/((a/(a/(a*a**(7/3))))/((a*a*(a*a**(-2/11)*a*a*a)/a)/a)) assuming a is positive.\n' | b'a**(1468/33)\n' | deepmind/math_dataset |
b'Let f(c) = c**3 + 10*c**2 - c + 3. Let g(q) = q**2 + q - 1. Let r(t) = -f(t) + 4*g(t). Determine r(-7).\n' | b'7\n' | b'Let f(c) = c**3 + 10*c**2 - c + 3. Let g(q) = q**2 + q - 1. Let r(t) = -f(t) + 4*g(t). Determine r(-7).\n' | b'7\n' | deepmind/math_dataset |
b'Simplify (r**(1/6)*r**4)/((r*r**5*r)/r**(2/3))*(r/(r**0/r))**(3/2)*(r**(-1))**(-6/17) assuming r is positive.\n' | b'r**(121/102)\n' | b'Simplify (r**(1/6)*r**4)/((r*r**5*r)/r**(2/3))*(r/(r**0/r))**(3/2)*(r**(-1))**(-6/17) assuming r is positive.\n' | b'r**(121/102)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {z: 7, b: 6, l: 4}. Give prob of sequence bllz.\n' | b'3/340\n' | b'Four letters picked without replacement from {z: 7, b: 6, l: 4}. Give prob of sequence bllz.\n' | b'3/340\n' | deepmind/math_dataset |
b'Calculate prob of sequence yt when two letters picked without replacement from hhthy.\n' | b'1/20\n' | b'Calculate prob of sequence yt when two letters picked without replacement from hhthy.\n' | b'1/20\n' | deepmind/math_dataset |
b'Let a(d) = -158*d. Let u(r) = -850*r + 1. Let o(j) = -6*a(j) + u(j). Calculate o(1).\n' | b'99\n' | b'Let a(d) = -158*d. Let u(r) = -850*r + 1. Let o(j) = -6*a(j) + u(j). Calculate o(1).\n' | b'99\n' | deepmind/math_dataset |
b'Calculate prob of sequence ch when two letters picked without replacement from {h: 5, w: 3, c: 2, a: 1, p: 1, o: 8}.\n' | b'1/38\n' | b'Calculate prob of sequence ch when two letters picked without replacement from {h: 5, w: 3, c: 2, a: 1, p: 1, o: 8}.\n' | b'1/38\n' | deepmind/math_dataset |
b'Three letters picked without replacement from bbbqhbhhshuhrb. Give prob of picking 1 q, 1 h, and 1 s.\n' | b'5/364\n' | b'Three letters picked without replacement from bbbqhbhhshuhrb. Give prob of picking 1 q, 1 h, and 1 s.\n' | b'5/364\n' | deepmind/math_dataset |
b'Let p = 404 + -400. Solve -p*b = 4*x, -3*x + 2*x = -b - 6 for b.\n' | b'-3\n' | b'Let p = 404 + -400. Solve -p*b = 4*x, -3*x + 2*x = -b - 6 for b.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 5*h + 5*r - 240 = 0, r - 247 = -5*h + 3*r. Let f(p) = 2 - h*p - p**2 + 52*p - 4 + 1. Determine f(1).\n' | b'1\n' | b'Suppose 5*h + 5*r - 240 = 0, r - 247 = -5*h + 3*r. Let f(p) = 2 - h*p - p**2 + 52*p - 4 + 1. Determine f(1).\n' | b'1\n' | deepmind/math_dataset |
b'Suppose -10*n + 3*n = -28. Solve -2*c = -n*x + 8, -c + 5*c - 2*x + 10 = 0 for c.\n' | b'-2\n' | b'Suppose -10*n + 3*n = -28. Solve -2*c = -n*x + 8, -c + 5*c - 2*x + 10 = 0 for c.\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, k: 7, s: 5, p: 1}. What is prob of sequence aks?\n' | b'5/312\n' | b'Three letters picked without replacement from {a: 1, k: 7, s: 5, p: 1}. What is prob of sequence aks?\n' | b'5/312\n' | deepmind/math_dataset |
b'Let l(s) = -s**3 - 3*s**2 + 7*s - 6. Let o(f) = f**2 - f + 1. Let q(k) = -l(k) - 5*o(k). Give q(-2).\n' | b'-11\n' | b'Let l(s) = -s**3 - 3*s**2 + 7*s - 6. Let o(f) = f**2 - f + 1. Let q(k) = -l(k) - 5*o(k). Give q(-2).\n' | b'-11\n' | deepmind/math_dataset |
b'Simplify ((o/((o*o/o**1)/o*o*o))**(1/9)/(o**(-2/13)/((o*o*o/o**(-2/3))/o*o)))**(-13) assuming o is positive.\n' | b'o**(-434/9)\n' | b'Simplify ((o/((o*o/o**1)/o*o*o))**(1/9)/(o**(-2/13)/((o*o*o/o**(-2/3))/o*o)))**(-13) assuming o is positive.\n' | b'o**(-434/9)\n' | deepmind/math_dataset |
b'Let x(r) = r + 4. Let b = -3 + 7. Suppose 0 = -b*n - 4*w - 4, 0*n - 2*n + 4*w - 20 = 0. Give x(n).\n' | b'0\n' | b'Let x(r) = r + 4. Let b = -3 + 7. Suppose 0 = -b*n - 4*w - 4, 0*n - 2*n + 4*w - 20 = 0. Give x(n).\n' | b'0\n' | deepmind/math_dataset |
b'What is the third derivative of -3*a + 6*a - 3*a + 7*a**2 + 5*a**5 wrt a?\n' | b'300*a**2\n' | b'What is the third derivative of -3*a + 6*a - 3*a + 7*a**2 + 5*a**5 wrt a?\n' | b'300*a**2\n' | deepmind/math_dataset |
b'Let k be (138/8)/(2 - 17/8). Let s = 141 + k. Solve -v - b - 5 = 0, b + 6 = -s*v + v for v.\n' | b'-1\n' | b'Let k be (138/8)/(2 - 17/8). Let s = 141 + k. Solve -v - b - 5 = 0, b + 6 = -s*v + v for v.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify ((p/(p*p**(-2/9)*p))**(4/13))**(-12) assuming p is positive.\n' | b'p**(112/39)\n' | b'Simplify ((p/(p*p**(-2/9)*p))**(4/13))**(-12) assuming p is positive.\n' | b'p**(112/39)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {l: 11, c: 3}.\n' | b'165/364\n' | b'Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {l: 11, c: 3}.\n' | b'165/364\n' | deepmind/math_dataset |
b'Let t(o) be the third derivative of -o**6/120 - o**5/15 - o**4/24 + 2*o**3/3 + 14*o**2. Let m be ((-12)/20)/((-3)/(-15)). Determine t(m).\n' | b'-2\n' | b'Let t(o) be the third derivative of -o**6/120 - o**5/15 - o**4/24 + 2*o**3/3 + 14*o**2. Let m be ((-12)/20)/((-3)/(-15)). Determine t(m).\n' | b'-2\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qjjqzzqexz. What is prob of sequence jqz?\n' | b'1/40\n' | b'Three letters picked without replacement from qjjqzzqexz. What is prob of sequence jqz?\n' | b'1/40\n' | deepmind/math_dataset |
b'Let i(u) = -5*u**5 + 11*u**4 - 84*u. Let l(m) = m**5 - 2*m**4 + 17*m. Let g(s) = 2*i(s) + 11*l(s). Find the second derivative of g(h) wrt h.\n' | b'20*h**3\n' | b'Let i(u) = -5*u**5 + 11*u**4 - 84*u. Let l(m) = m**5 - 2*m**4 + 17*m. Let g(s) = 2*i(s) + 11*l(s). Find the second derivative of g(h) wrt h.\n' | b'20*h**3\n' | deepmind/math_dataset |
b'What is prob of sequence obo when three letters picked without replacement from dbdbdddydddyoo?\n' | b'1/546\n' | b'What is prob of sequence obo when three letters picked without replacement from dbdbdddydddyoo?\n' | b'1/546\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {d: 5, r: 1, e: 8, f: 3, j: 3}. What is prob of sequence ejdj?\n' | b'2/969\n' | b'Four letters picked without replacement from {d: 5, r: 1, e: 8, f: 3, j: 3}. What is prob of sequence ejdj?\n' | b'2/969\n' | deepmind/math_dataset |
b'Simplify a**(1/9)*a**6*(a*a**(-1/4))**(-10/7)*(a**(-1)*a)**8*a**(1/4)*a*a/a**0 assuming a is positive.\n' | b'a**(1837/252)\n' | b'Simplify a**(1/9)*a**6*(a*a**(-1/4))**(-10/7)*(a**(-1)*a)**8*a**(1/4)*a*a/a**0 assuming a is positive.\n' | b'a**(1837/252)\n' | deepmind/math_dataset |
b'Let l = -2860 - -2860. Let g(x) be the first derivative of 0*x**2 + 0*x**4 + 15*x + l*x**3 + 7 + 13/5*x**5. Find the first derivative of g(s) wrt s.\n' | b'52*s**3\n' | b'Let l = -2860 - -2860. Let g(x) be the first derivative of 0*x**2 + 0*x**4 + 15*x + l*x**3 + 7 + 13/5*x**5. Find the first derivative of g(s) wrt s.\n' | b'52*s**3\n' | deepmind/math_dataset |
b'Simplify ((j**(-4))**(18/7)*j/j**(2/7)*j**(-1/6)*j)**20 assuming j is positive.\n' | b'j**(-3670/21)\n' | b'Simplify ((j**(-4))**(18/7)*j/j**(2/7)*j**(-1/6)*j)**20 assuming j is positive.\n' | b'j**(-3670/21)\n' | deepmind/math_dataset |
b'Let c(n) = -283*n - 2264. Let o be c(-8). Let v = -2 - -4. Let x be 1/v*(2 + 0). Solve 5 + x = h + 2*d, -4*h - 3*d + 19 = o for h.\n' | b'4\n' | b'Let c(n) = -283*n - 2264. Let o be c(-8). Let v = -2 - -4. Let x be 1/v*(2 + 0). Solve 5 + x = h + 2*d, -4*h - 3*d + 19 = o for h.\n' | b'4\n' | deepmind/math_dataset |
b'Find the third derivative of -p**2 - 3*p**2 - 12*p**6 - 5*p**2 wrt p.\n' | b'-1440*p**3\n' | b'Find the third derivative of -p**2 - 3*p**2 - 12*p**6 - 5*p**2 wrt p.\n' | b'-1440*p**3\n' | deepmind/math_dataset |
b'Simplify (t**(-3/32)*t*t/t**(-1/2)*t)/(t/((t*t/((t*t**28)/t))/t))**(-2/21) assuming t is positive.\n' | b't**(583/96)\n' | b'Simplify (t**(-3/32)*t*t/t**(-1/2)*t)/(t/((t*t/((t*t**28)/t))/t))**(-2/21) assuming t is positive.\n' | b't**(583/96)\n' | deepmind/math_dataset |
b'Let l(o) = o - 3. Let j(n) be the second derivative of 0 + 0*n**3 - 1/3*n**4 + 8*n + 1/2*n**2. Let h be j(-1). Determine l(h).\n' | b'-6\n' | b'Let l(o) = o - 3. Let j(n) be the second derivative of 0 + 0*n**3 - 1/3*n**4 + 8*n + 1/2*n**2. Let h be j(-1). Determine l(h).\n' | b'-6\n' | deepmind/math_dataset |
b'Let x(c) = c**2 - 8*c - 46. Let p be x(12). Solve -p*g - 16 = -5*v + 2*g, -5*g - 20 = 5*v for v.\n' | b'0\n' | b'Let x(c) = c**2 - 8*c - 46. Let p be x(12). Solve -p*g - 16 = -5*v + 2*g, -5*g - 20 = 5*v for v.\n' | b'0\n' | deepmind/math_dataset |
b'Suppose -2*d + 12 = 2*g, 0 = 8*g - 9*g + 1. Solve 2*t = i + 3, -3*i + d*t = -2*i for i.\n' | b'-5\n' | b'Suppose -2*d + 12 = 2*g, 0 = 8*g - 9*g + 1. Solve 2*t = i + 3, -3*i + d*t = -2*i for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (f**(4/3)*f*f**(-7/3)/f*f*f*f)/(f/f**1*f**(-2)/f) assuming f is positive.\n' | b'f**5\n' | b'Simplify (f**(4/3)*f*f**(-7/3)/f*f*f*f)/(f/f**1*f**(-2)/f) assuming f is positive.\n' | b'f**5\n' | deepmind/math_dataset |
b'What is prob of picking 2 p and 1 j when three letters picked without replacement from {j: 1, p: 3}?\n' | b'3/4\n' | b'What is prob of picking 2 p and 1 j when three letters picked without replacement from {j: 1, p: 3}?\n' | b'3/4\n' | deepmind/math_dataset |
b'What is prob of picking 2 r and 1 g when three letters picked without replacement from {r: 3, g: 12}?\n' | b'36/455\n' | b'What is prob of picking 2 r and 1 g when three letters picked without replacement from {r: 3, g: 12}?\n' | b'36/455\n' | deepmind/math_dataset |
b'Simplify ((t**(-16)*t*t*t**(4/3))**(-3/25))**(-1/2) assuming t is positive.\n' | b't**(-19/25)\n' | b'Simplify ((t**(-16)*t*t*t**(4/3))**(-3/25))**(-1/2) assuming t is positive.\n' | b't**(-19/25)\n' | deepmind/math_dataset |
b'Let m(t) = -110*t - 104. Let n(f) = 221*f + 209. Let c(k) = 5*m(k) + 3*n(k). Differentiate c(w) with respect to w.\n' | b'113\n' | b'Let m(t) = -110*t - 104. Let n(f) = 221*f + 209. Let c(k) = 5*m(k) + 3*n(k). Differentiate c(w) with respect to w.\n' | b'113\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {x: 4, y: 5, j: 2}. Give prob of sequence yyyj.\n' | b'1/66\n' | b'Four letters picked without replacement from {x: 4, y: 5, j: 2}. Give prob of sequence yyyj.\n' | b'1/66\n' | deepmind/math_dataset |
b'What is the second derivative of -384*l - 64*l - 393*l**5 - 245*l**5 - 365*l + 50*l wrt l?\n' | b'-12760*l**3\n' | b'What is the second derivative of -384*l - 64*l - 393*l**5 - 245*l**5 - 365*l + 50*l wrt l?\n' | b'-12760*l**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from slssalwwiivi. What is prob of picking 1 v and 1 a?\n' | b'1/66\n' | b'Two letters picked without replacement from slssalwwiivi. What is prob of picking 1 v and 1 a?\n' | b'1/66\n' | deepmind/math_dataset |
b'What is prob of picking 1 h, 1 f, and 1 i when three letters picked without replacement from {f: 1, i: 2, h: 3, g: 4}?\n' | b'1/20\n' | b'What is prob of picking 1 h, 1 f, and 1 i when three letters picked without replacement from {f: 1, i: 2, h: 3, g: 4}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Let p(f) = -11*f**3 - 18*f**2 - 34*f - 11. Let z(c) = 7*c**3 + 12*c**2 + 22*c + 7. Let g(a) = -5*p(a) - 8*z(a). Determine g(-5).\n' | b'4\n' | b'Let p(f) = -11*f**3 - 18*f**2 - 34*f - 11. Let z(c) = 7*c**3 + 12*c**2 + 22*c + 7. Let g(a) = -5*p(a) - 8*z(a). Determine g(-5).\n' | b'4\n' | deepmind/math_dataset |
b'Let m(g) = 4. Let r(x) = 2*x - 11. Let c(z) = 6*m(z) + 3*r(z). Determine c(0).\n' | b'-9\n' | b'Let m(g) = 4. Let r(x) = 2*x - 11. Let c(z) = 6*m(z) + 3*r(z). Determine c(0).\n' | b'-9\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {m: 3, l: 3, g: 3, h: 1, r: 2, t: 4}. Give prob of sequence rgtr.\n' | b'1/1820\n' | b'Four letters picked without replacement from {m: 3, l: 3, g: 3, h: 1, r: 2, t: 4}. Give prob of sequence rgtr.\n' | b'1/1820\n' | deepmind/math_dataset |
b'Let z(n) be the third derivative of n**5/60 - 11*n**4/12 + n**3/6 + 435*n**2 - 2. What is z(17)?\n' | b'-84\n' | b'Let z(n) be the third derivative of n**5/60 - 11*n**4/12 + n**3/6 + 435*n**2 - 2. What is z(17)?\n' | b'-84\n' | deepmind/math_dataset |
b'Let l(w) = w**2 + w - 53. Let z be l(-8). Solve -z*v - 5*t - 12 = 0, 5*v + 2*t - 6*t + 20 = 0 for v.\n' | b'-4\n' | b'Let l(w) = w**2 + w - 53. Let z be l(-8). Solve -z*v - 5*t - 12 = 0, 5*v + 2*t - 6*t + 20 = 0 for v.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((o*(o*o**(1/4))/o)/o)/(o*o/(o*(o**(-8)*o*o*o)/o)*o) assuming o is positive.\n' | b'o**(-31/4)\n' | b'Simplify ((o*(o*o**(1/4))/o)/o)/(o*o/(o*(o**(-8)*o*o*o)/o)*o) assuming o is positive.\n' | b'o**(-31/4)\n' | deepmind/math_dataset |
b'Simplify ((x*x*x**(2/7))/x*x)**(-26)/(x*(x/x**(2/15))/x*x)**(-13) assuming x is positive.\n' | b'x**(-3692/105)\n' | b'Simplify ((x*x*x**(2/7))/x*x)**(-26)/(x*(x/x**(2/15))/x*x)**(-13) assuming x is positive.\n' | b'x**(-3692/105)\n' | deepmind/math_dataset |
b'Simplify ((h*h*h**15)/h**12*(h*h**(3/7))/h*h**(-7))**(-48) assuming h is positive.\n' | b'h**(528/7)\n' | b'Simplify ((h*h*h**15)/h**12*(h*h**(3/7))/h*h**(-7))**(-48) assuming h is positive.\n' | b'h**(528/7)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {o: 4, y: 2, u: 3, b: 1}.\n' | b'2/35\n' | b'Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {o: 4, y: 2, u: 3, b: 1}.\n' | b'2/35\n' | deepmind/math_dataset |
b'What is prob of picking 2 f and 1 h when three letters picked without replacement from ffrfhfhhhrhrrf?\n' | b'25/182\n' | b'What is prob of picking 2 f and 1 h when three letters picked without replacement from ffrfhfhhhrhrrf?\n' | b'25/182\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {a: 1, t: 2, y: 1, b: 2, k: 4}. What is prob of picking 1 t, 1 b, and 1 y?\n' | b'1/30\n' | b'Three letters picked without replacement from {a: 1, t: 2, y: 1, b: 2, k: 4}. What is prob of picking 1 t, 1 b, and 1 y?\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose -3*i + 7 = -3*l - 5, -16 = -4*i + l. Suppose -2*k - 1 = 3. Let m be (-4)/(-2) + (-2)/k. Solve 5*b = -r - 3*r + 40, -m*r - 1 = -i*b for b.\n' | b'4\n' | b'Suppose -3*i + 7 = -3*l - 5, -16 = -4*i + l. Suppose -2*k - 1 = 3. Let m be (-4)/(-2) + (-2)/k. Solve 5*b = -r - 3*r + 40, -m*r - 1 = -i*b for b.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {n: 4, w: 5, m: 5, v: 1, c: 3}. What is prob of sequence wn?\n' | b'10/153\n' | b'Two letters picked without replacement from {n: 4, w: 5, m: 5, v: 1, c: 3}. What is prob of sequence wn?\n' | b'10/153\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 r and 1 k when two letters picked without replacement from fkkkktrktkr.\n' | b'12/55\n' | b'Calculate prob of picking 1 r and 1 k when two letters picked without replacement from fkkkktrktkr.\n' | b'12/55\n' | deepmind/math_dataset |
b'Let u(f) be the second derivative of -f**6/360 - f**5/40 - f**4/6 - f**3/3 - 5*f. Let k(y) be the second derivative of u(y). Determine k(-3).\n' | b'-4\n' | b'Let u(f) be the second derivative of -f**6/360 - f**5/40 - f**4/6 - f**3/3 - 5*f. Let k(y) be the second derivative of u(y). Determine k(-3).\n' | b'-4\n' | deepmind/math_dataset |
b'What is prob of picking 1 u and 1 m when two letters picked without replacement from uncnnnffmnfuenc?\n' | b'2/105\n' | b'What is prob of picking 1 u and 1 m when two letters picked without replacement from uncnnnffmnfuenc?\n' | b'2/105\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ttttttttttyyttttttt. What is prob of picking 4 t?\n' | b'35/57\n' | b'Four letters picked without replacement from ttttttttttyyttttttt. What is prob of picking 4 t?\n' | b'35/57\n' | deepmind/math_dataset |
b'Suppose -28 = -5*r - k - k, -k = r - 8. Solve -3*y - 2*y - 4*z + 31 = 0, r*y + 3*z = 24 for y.\n' | b'3\n' | b'Suppose -28 = -5*r - k - k, -k = r - 8. Solve -3*y - 2*y - 4*z + 31 = 0, r*y + 3*z = 24 for y.\n' | b'3\n' | deepmind/math_dataset |
b'Let t = -1 + 5. Let f(c) = c + 2*c**2 + 2 + 4 - t + c. Calculate f(-3).\n' | b'14\n' | b'Let t = -1 + 5. Let f(c) = c + 2*c**2 + 2 + 4 - t + c. Calculate f(-3).\n' | b'14\n' | deepmind/math_dataset |
b'Suppose 9*w = -10*w - 855. Let s = -9 - -57. Let x = s + w. Solve -13 = -4*k + 3*k - 3*h, -5*k + x*h - 25 = 0 for k.\n' | b'-2\n' | b'Suppose 9*w = -10*w - 855. Let s = -9 - -57. Let x = s + w. Solve -13 = -4*k + 3*k - 3*h, -5*k + x*h - 25 = 0 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (f/f**(-2/11)*f**12)/(f*f*(f*f*f*f**(4/3)*f)/f*f*f**(1/6)) assuming f is positive.\n' | b'f**(125/22)\n' | b'Simplify (f/f**(-2/11)*f**12)/(f*f*(f*f*f*f**(4/3)*f)/f*f*f**(1/6)) assuming f is positive.\n' | b'f**(125/22)\n' | deepmind/math_dataset |
b'What is prob of picking 2 j, 1 h, and 1 t when four letters picked without replacement from thjthtjtthhh?\n' | b'5/99\n' | b'What is prob of picking 2 j, 1 h, and 1 t when four letters picked without replacement from thjthtjtthhh?\n' | b'5/99\n' | deepmind/math_dataset |
b'Simplify ((y*y/y**(1/2)*y)/y)**41/((y**(-2)/y*y)/(y/(y/(y**(-3/10)*y)))) assuming y is positive.\n' | b'y**(321/5)\n' | b'Simplify ((y*y/y**(1/2)*y)/y)**41/((y**(-2)/y*y)/(y/(y/(y**(-3/10)*y)))) assuming y is positive.\n' | b'y**(321/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 q when three letters picked without replacement from {q: 9}.\n' | b'1\n' | b'Calculate prob of picking 3 q when three letters picked without replacement from {q: 9}.\n' | b'1\n' | deepmind/math_dataset |
b'Differentiate 1069 + 80*q + 1087 - 3208 + 327 wrt q.\n' | b'80\n' | b'Differentiate 1069 + 80*q + 1087 - 3208 + 327 wrt q.\n' | b'80\n' | deepmind/math_dataset |
b'Simplify (h**(7/3))**(-5) assuming h is positive.\n' | b'h**(-35/3)\n' | b'Simplify (h**(7/3))**(-5) assuming h is positive.\n' | b'h**(-35/3)\n' | deepmind/math_dataset |
b'Suppose 5*j = -o - 4*o + 30, -2 = o. Suppose b - 5*b = -j. Solve 3*s = y + 1 + 2, -2*s + y + b = 0 for s.\n' | b'1\n' | b'Suppose 5*j = -o - 4*o + 30, -2 = o. Suppose b - 5*b = -j. Solve 3*s = y + 1 + 2, -2*s + y + b = 0 for s.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of sequence ucc when three letters picked without replacement from {u: 4, c: 2}.\n' | b'1/15\n' | b'Calculate prob of sequence ucc when three letters picked without replacement from {u: 4, c: 2}.\n' | b'1/15\n' | deepmind/math_dataset |
b'Let t(w) be the first derivative of w**6/6 - 7*w**5 + 11*w**2/2 + 115. What is the second derivative of t(k) wrt k?\n' | b'20*k**3 - 420*k**2\n' | b'Let t(w) be the first derivative of w**6/6 - 7*w**5 + 11*w**2/2 + 115. What is the second derivative of t(k) wrt k?\n' | b'20*k**3 - 420*k**2\n' | deepmind/math_dataset |
b'Suppose 0 = -2*j + 16 + 30. Solve 0*f - 3*x - 14 = -f, 0 = 3*f + 4*x + j for f.\n' | b'-1\n' | b'Suppose 0 = -2*j + 16 + 30. Solve 0*f - 3*x - 14 = -f, 0 = 3*f + 4*x + j for f.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {y: 8, r: 3}. What is prob of sequence rrry?\n' | b'1/165\n' | b'Four letters picked without replacement from {y: 8, r: 3}. What is prob of sequence rrry?\n' | b'1/165\n' | deepmind/math_dataset |
b'Suppose 7 = -4*f + 15. Solve 2*q + 12 = 4*a, -3*a + 3*q = f*a - 15 for a.\n' | b'3\n' | b'Suppose 7 = -4*f + 15. Solve 2*q + 12 = 4*a, -3*a + 3*q = f*a - 15 for a.\n' | b'3\n' | deepmind/math_dataset |
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