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'Simplify ((f*f**(2/17))**(-39)/(f**(-3)/(f**(-10)*f)))**(-3/32) assuming f is positive.\n' | b'f**(2529/544)\n' | b'Simplify ((f*f**(2/17))**(-39)/(f**(-3)/(f**(-10)*f)))**(-3/32) assuming f is positive.\n' | b'f**(2529/544)\n' | deepmind/math_dataset |
b'Let j(t) be the second derivative of 4525*t**3/6 - 2867*t**2/2 - 1080*t. Differentiate j(i) with respect to i.\n' | b'4525\n' | b'Let j(t) be the second derivative of 4525*t**3/6 - 2867*t**2/2 - 1080*t. Differentiate j(i) with respect to i.\n' | b'4525\n' | deepmind/math_dataset |
b'Calculate prob of sequence euj when three letters picked without replacement from {u: 1, b: 1, v: 1, j: 1, l: 2, e: 1}.\n' | b'1/210\n' | b'Calculate prob of sequence euj when three letters picked without replacement from {u: 1, b: 1, v: 1, j: 1, l: 2, e: 1}.\n' | b'1/210\n' | deepmind/math_dataset |
b'Let y(j) = -j + 10. Let o be y(5). Suppose f + 0*f = 3*c + o, -4*c + 20 = 4*f. Solve -k + c*k = x, 5 = x for k.\n' | b'-5\n' | b'Let y(j) = -j + 10. Let o be y(5). Suppose f + 0*f = 3*c + o, -4*c + 20 = 4*f. Solve -k + c*k = x, 5 = x for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (n/(n/n**1))**(-38)/((n**(-3/7)*n)/(n*n**8*n)) assuming n is positive.\n' | b'n**(-200/7)\n' | b'Simplify (n/(n/n**1))**(-38)/((n**(-3/7)*n)/(n*n**8*n)) assuming n is positive.\n' | b'n**(-200/7)\n' | deepmind/math_dataset |
b'Simplify ((j/(j*j**2))**14*j**3*j*j*j**(2/11))**10 assuming j is positive.\n' | b'j**(-2510/11)\n' | b'Simplify ((j/(j*j**2))**14*j**3*j*j*j**(2/11))**10 assuming j is positive.\n' | b'j**(-2510/11)\n' | deepmind/math_dataset |
b'Simplify (r**(-3/2)/r*r*r**2/r)**(2/47)/((r**1)**(-40)/(r**(2/5)/(r/(r/(((r*r**(-4)*r)/r)/r))))) assuming r is positive.\n' | b'r**(10429/235)\n' | b'Simplify (r**(-3/2)/r*r*r**2/r)**(2/47)/((r**1)**(-40)/(r**(2/5)/(r/(r/(((r*r**(-4)*r)/r)/r))))) assuming r is positive.\n' | b'r**(10429/235)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qvbqqifivv. What is prob of picking 1 f, 2 i, and 1 v?\n' | b'1/70\n' | b'Four letters picked without replacement from qvbqqifivv. What is prob of picking 1 f, 2 i, and 1 v?\n' | b'1/70\n' | deepmind/math_dataset |
b'Calculate prob of sequence ttgh when four letters picked without replacement from {h: 2, t: 2, c: 1, y: 1, x: 2, g: 1}.\n' | b'1/756\n' | b'Calculate prob of sequence ttgh when four letters picked without replacement from {h: 2, t: 2, c: 1, y: 1, x: 2, g: 1}.\n' | b'1/756\n' | deepmind/math_dataset |
b'Three letters picked without replacement from lllllllllllwlll. Give prob of sequence llw.\n' | b'1/15\n' | b'Three letters picked without replacement from lllllllllllwlll. Give prob of sequence llw.\n' | b'1/15\n' | deepmind/math_dataset |
b'What is prob of sequence oyy when three letters picked without replacement from {o: 1, y: 3}?\n' | b'1/4\n' | b'What is prob of sequence oyy when three letters picked without replacement from {o: 1, y: 3}?\n' | b'1/4\n' | deepmind/math_dataset |
b'What is prob of picking 1 j, 1 w, and 2 p when four letters picked without replacement from {j: 4, p: 3, w: 1, t: 6, q: 2}?\n' | b'3/455\n' | b'What is prob of picking 1 j, 1 w, and 2 p when four letters picked without replacement from {j: 4, p: 3, w: 1, t: 6, q: 2}?\n' | b'3/455\n' | deepmind/math_dataset |
b'What is prob of sequence tui when three letters picked without replacement from {m: 1, u: 1, r: 1, t: 1, i: 1}?\n' | b'1/60\n' | b'What is prob of sequence tui when three letters picked without replacement from {m: 1, u: 1, r: 1, t: 1, i: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
b'What is prob of sequence rfp when three letters picked without replacement from rptfl?\n' | b'1/60\n' | b'What is prob of sequence rfp when three letters picked without replacement from rptfl?\n' | b'1/60\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 t, 1 c, 1 f, and 1 z when four letters picked without replacement from ccztfcecezcei.\n' | b'2/143\n' | b'Calculate prob of picking 1 t, 1 c, 1 f, and 1 z when four letters picked without replacement from ccztfcecezcei.\n' | b'2/143\n' | deepmind/math_dataset |
b'Let f = -1309 + 1312. Solve f*o - 3*u = -8*u, 5*o + u - 22 = 0 for o.\n' | b'5\n' | b'Let f = -1309 + 1312. Solve f*o - 3*u = -8*u, 5*o + u - 22 = 0 for o.\n' | b'5\n' | deepmind/math_dataset |
b'Let z(v) be the second derivative of 2*v + 0*v**4 - 1/10*v**5 + 0 - v**2 + 0*v**3. Differentiate z(u) wrt u.\n' | b'-6*u**2\n' | b'Let z(v) be the second derivative of 2*v + 0*v**4 - 1/10*v**5 + 0 - v**2 + 0*v**3. Differentiate z(u) wrt u.\n' | b'-6*u**2\n' | deepmind/math_dataset |
b'Let m(z) be the second derivative of z**6/30 + z**4/24 + 3*z**2/2 + 2*z. Let n(y) be the first derivative of m(y). What is the second derivative of n(b) wrt b?\n' | b'24*b\n' | b'Let m(z) be the second derivative of z**6/30 + z**4/24 + 3*z**2/2 + 2*z. Let n(y) be the first derivative of m(y). What is the second derivative of n(b) wrt b?\n' | b'24*b\n' | deepmind/math_dataset |
b'Let k be (3 - (-55)/(-20))*(-8)/(-2). Let q(r) = 13*r**2 - 18*r + 18. Determine q(k).\n' | b'13\n' | b'Let k be (3 - (-55)/(-20))*(-8)/(-2). Let q(r) = 13*r**2 - 18*r + 18. Determine q(k).\n' | b'13\n' | deepmind/math_dataset |
b'Suppose -2*c = -0*c - 8. Suppose c = o - 3*o. Let j be -1 + o + -4 + 7. Let r(p) = -p + 3. What is r(j)?\n' | b'3\n' | b'Suppose -2*c = -0*c - 8. Suppose c = o - 3*o. Let j be -1 + o + -4 + 7. Let r(p) = -p + 3. What is r(j)?\n' | b'3\n' | deepmind/math_dataset |
b'Suppose 73 = 5*l - 2. Suppose -g + l = 4*g. What is the second derivative of 4*r - 6*r + g*r + 2*r**4 wrt r?\n' | b'24*r**2\n' | b'Suppose 73 = 5*l - 2. Suppose -g + l = 4*g. What is the second derivative of 4*r - 6*r + g*r + 2*r**4 wrt r?\n' | b'24*r**2\n' | deepmind/math_dataset |
b'Let s(d) be the first derivative of -d**6/10 - 2*d**3 + 19*d**2/2 - 16. Let h(m) be the second derivative of s(m). Differentiate h(f) wrt f.\n' | b'-36*f**2\n' | b'Let s(d) be the first derivative of -d**6/10 - 2*d**3 + 19*d**2/2 - 16. Let h(m) be the second derivative of s(m). Differentiate h(f) wrt f.\n' | b'-36*f**2\n' | deepmind/math_dataset |
b'Let t(h) = -50*h - 6016. Let g be t(-121). Let s(l) = l**3 - 32*l**2 - 69*l + 13. Calculate s(g).\n' | b'-21\n' | b'Let t(h) = -50*h - 6016. Let g be t(-121). Let s(l) = l**3 - 32*l**2 - 69*l + 13. Calculate s(g).\n' | b'-21\n' | deepmind/math_dataset |
b'What is prob of sequence ffmz when four letters picked without replacement from mfzfm?\n' | b'1/30\n' | b'What is prob of sequence ffmz when four letters picked without replacement from mfzfm?\n' | b'1/30\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {h: 2, y: 5, z: 3}. Give prob of picking 3 y and 1 z.\n' | b'1/7\n' | b'Four letters picked without replacement from {h: 2, y: 5, z: 3}. Give prob of picking 3 y and 1 z.\n' | b'1/7\n' | deepmind/math_dataset |
b'Let a(i) be the first derivative of -82*i**6/3 - i**4/2 + 79*i**2/2 - 715. What is the second derivative of a(o) wrt o?\n' | b'-3280*o**3 - 12*o\n' | b'Let a(i) be the first derivative of -82*i**6/3 - i**4/2 + 79*i**2/2 - 715. What is the second derivative of a(o) wrt o?\n' | b'-3280*o**3 - 12*o\n' | deepmind/math_dataset |
b'Let l(z) = 5 + z + z - z + 5. Let n be l(-8). Solve 0 = -k + 1, -1 - 6 = n*a - 3*k for a.\n' | b'-2\n' | b'Let l(z) = 5 + z + z - z + 5. Let n be l(-8). Solve 0 = -k + 1, -1 - 6 = n*a - 3*k for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let i(p) = -11*p**2 - 24*p - 22. Let h(g) = -5*g**2 - 12*g - 10. Let j(v) = -9*h(v) + 4*i(v). Calculate j(-12).\n' | b'2\n' | b'Let i(p) = -11*p**2 - 24*p - 22. Let h(g) = -5*g**2 - 12*g - 10. Let j(v) = -9*h(v) + 4*i(v). Calculate j(-12).\n' | b'2\n' | deepmind/math_dataset |
b'Let y(u) = u + 3. Let q(h) = 5*h + 5. Let r be (-16)/3 + 4 - (-2)/6. Let g(v) = r*q(v) + 2*y(v). Let f be ((-4)/6)/(4/(-6)). Calculate g(f).\n' | b'-2\n' | b'Let y(u) = u + 3. Let q(h) = 5*h + 5. Let r be (-16)/3 + 4 - (-2)/6. Let g(v) = r*q(v) + 2*y(v). Let f be ((-4)/6)/(4/(-6)). Calculate g(f).\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence aa when two letters picked without replacement from apapp.\n' | b'1/10\n' | b'Calculate prob of sequence aa when two letters picked without replacement from apapp.\n' | b'1/10\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {j: 7, v: 1, r: 3, b: 5}. What is prob of picking 2 r and 1 v?\n' | b'3/560\n' | b'Three letters picked without replacement from {j: 7, v: 1, r: 3, b: 5}. What is prob of picking 2 r and 1 v?\n' | b'3/560\n' | deepmind/math_dataset |
b'Let b(f) be the third derivative of 4*f**2 + 1/30*f**5 + 0*f**4 - 1/70*f**7 + 0*f + 0 + 0*f**6 + 0*f**3. Find the third derivative of b(a) wrt a.\n' | b'-72*a\n' | b'Let b(f) be the third derivative of 4*f**2 + 1/30*f**5 + 0*f**4 - 1/70*f**7 + 0*f + 0 + 0*f**6 + 0*f**3. Find the third derivative of b(a) wrt a.\n' | b'-72*a\n' | deepmind/math_dataset |
b'Simplify (q/q**(-3))**(-34/5)/(q**18*q*q**(-10)) assuming q is positive.\n' | b'q**(-181/5)\n' | b'Simplify (q/q**(-3))**(-34/5)/(q**18*q*q**(-10)) assuming q is positive.\n' | b'q**(-181/5)\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from xxx.\n' | b'1\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from xxx.\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence mwcc when four letters picked without replacement from {k: 1, w: 2, m: 10, c: 4}?\n' | b'1/238\n' | b'What is prob of sequence mwcc when four letters picked without replacement from {k: 1, w: 2, m: 10, c: 4}?\n' | b'1/238\n' | deepmind/math_dataset |
b'Suppose -2*g = -6 - 0. Let k be -4 - (-1)/(1 - 0). Let x = k + g. Solve x*q - 1 = q + a, -q + 4*a = 16 for q.\n' | b'-4\n' | b'Suppose -2*g = -6 - 0. Let k be -4 - (-1)/(1 - 0). Let x = k + g. Solve x*q - 1 = q + a, -q + 4*a = 16 for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (c*c*(((c**(-1/3)*c*c*c)/c)/c)/c*c*((c/((c*c**(-3))/c)*c)/c)/c*(c/(c/c**(2/7)))**(-2))**18 assuming c is positive.\n' | b'c**(642/7)\n' | b'Simplify (c*c*(((c**(-1/3)*c*c*c)/c)/c)/c*c*((c/((c*c**(-3))/c)*c)/c)/c*(c/(c/c**(2/7)))**(-2))**18 assuming c is positive.\n' | b'c**(642/7)\n' | deepmind/math_dataset |
b'Let g(j) = 5*j - 230. Let b(u) = -u**2 + 5*u + 113. Let n be b(11). Let h be g(n). Solve -h*r = 3*p - 15, -2*p - r = 2*r - 9 for p.\n' | b'0\n' | b'Let g(j) = 5*j - 230. Let b(u) = -u**2 + 5*u + 113. Let n be b(11). Let h be g(n). Solve -h*r = 3*p - 15, -2*p - r = 2*r - 9 for p.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (((o**(-3/23)*(o*(o**(4/21)/o)/o*o*o)/o)**7)**(6/11))**(2/37) assuming o is positive.\n' | b'o**(116/9361)\n' | b'Simplify (((o**(-3/23)*(o*(o**(4/21)/o)/o*o*o)/o)**7)**(6/11))**(2/37) assuming o is positive.\n' | b'o**(116/9361)\n' | deepmind/math_dataset |
b'Let j(o) = o + 19. Let v(z) = -2*z - 48. Let q(x) = 12*j(x) + 5*v(x). Let f(s) = 4*s - 22. Let h(d) = 4*f(d) - 7*q(d). Calculate h(-5).\n' | b'-14\n' | b'Let j(o) = o + 19. Let v(z) = -2*z - 48. Let q(x) = 12*j(x) + 5*v(x). Let f(s) = 4*s - 22. Let h(d) = 4*f(d) - 7*q(d). Calculate h(-5).\n' | b'-14\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {i: 3, w: 1, s: 5, c: 1, r: 4, k: 6}. Give prob of sequence krrw.\n' | b'1/1615\n' | b'Four letters picked without replacement from {i: 3, w: 1, s: 5, c: 1, r: 4, k: 6}. Give prob of sequence krrw.\n' | b'1/1615\n' | deepmind/math_dataset |
b'Let q(r) = -7*r - 16. Let g(u) = -12*u - 32. Let a(d) = -3*g(d) + 5*q(d). Calculate a(-9).\n' | b'7\n' | b'Let q(r) = -7*r - 16. Let g(u) = -12*u - 32. Let a(d) = -3*g(d) + 5*q(d). Calculate a(-9).\n' | b'7\n' | deepmind/math_dataset |
b'Let p(a) = 15 - 32*a**3 - 13 + 42*a - 2 - 41*a + 33*a**3 - a**2. Suppose 0 = 4*j - 4*b, -b + 2 + 3 = 0. Let x = -4 + j. Give p(x).\n' | b'1\n' | b'Let p(a) = 15 - 32*a**3 - 13 + 42*a - 2 - 41*a + 33*a**3 - a**2. Suppose 0 = 4*j - 4*b, -b + 2 + 3 = 0. Let x = -4 + j. Give p(x).\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of picking 2 z when two letters picked without replacement from zzzczzzzzizizcz?\n' | b'11/21\n' | b'What is prob of picking 2 z when two letters picked without replacement from zzzczzzzzizizcz?\n' | b'11/21\n' | deepmind/math_dataset |
b'Suppose 3*d = -0*d + 3*l + 12, d = 5*l - 16. Let a(t) = 3*t**2 + 11*t. Let x(k) = 13*k**2 + 45*k - 1. Let q(o) = d*a(o) - 2*x(o). Calculate q(-6).\n' | b'-16\n' | b'Suppose 3*d = -0*d + 3*l + 12, d = 5*l - 16. Let a(t) = 3*t**2 + 11*t. Let x(k) = 13*k**2 + 45*k - 1. Let q(o) = d*a(o) - 2*x(o). Calculate q(-6).\n' | b'-16\n' | deepmind/math_dataset |
b'Calculate prob of sequence mm when two letters picked without replacement from {h: 1, m: 2, j: 1, p: 1, z: 2}.\n' | b'1/21\n' | b'Calculate prob of sequence mm when two letters picked without replacement from {h: 1, m: 2, j: 1, p: 1, z: 2}.\n' | b'1/21\n' | deepmind/math_dataset |
b'Let n(z) = z**3 - 8*z**2 - 14*z - 9. Let s be n(12). Suppose -4*h - s + 87 = 0. Let f be h/(-16) - (-1)/8. Solve 5*b + 10 = f*c, 0 = 2*b - 4*c + 4 + 10 for b.\n' | b'3\n' | b'Let n(z) = z**3 - 8*z**2 - 14*z - 9. Let s be n(12). Suppose -4*h - s + 87 = 0. Let f be h/(-16) - (-1)/8. Solve 5*b + 10 = f*c, 0 = 2*b - 4*c + 4 + 10 for b.\n' | b'3\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 a and 2 m when four letters picked without replacement from amaaamaammmamaammm.\n' | b'36/85\n' | b'Calculate prob of picking 2 a and 2 m when four letters picked without replacement from amaaamaammmamaammm.\n' | b'36/85\n' | deepmind/math_dataset |
b'Simplify (((t/(t*((t**17*t)/t)/t)*t*t/(t/(t*t**(-5/7))))**27)**(-1/66))**(-2) assuming t is positive.\n' | b't**(-927/77)\n' | b'Simplify (((t/(t*((t**17*t)/t)/t)*t*t/(t/(t*t**(-5/7))))**27)**(-1/66))**(-2) assuming t is positive.\n' | b't**(-927/77)\n' | deepmind/math_dataset |
b'Simplify (o/(o*o*o/((o/(o**(-2/5)*o)*o)/o*o)))**49*(o/(o/((((o**0/o)/o)/o)/o)))**18 assuming o is positive.\n' | b'o**(-507/5)\n' | b'Simplify (o/(o*o*o/((o/(o**(-2/5)*o)*o)/o*o)))**49*(o/(o/((((o**0/o)/o)/o)/o)))**18 assuming o is positive.\n' | b'o**(-507/5)\n' | deepmind/math_dataset |
b'Suppose b - 1092 = 4*b. Let d = b - -369. Solve 0*g = -3*g - 3*y + 9, -2*g - d*y + 12 = 0 for g.\n' | b'1\n' | b'Suppose b - 1092 = 4*b. Let d = b - -369. Solve 0*g = -3*g - 3*y + 9, -2*g - d*y + 12 = 0 for g.\n' | b'1\n' | deepmind/math_dataset |
b'Simplify ((z*z**19/z)/(z**3*z))**5 assuming z is positive.\n' | b'z**75\n' | b'Simplify ((z*z**19/z)/(z**3*z))**5 assuming z is positive.\n' | b'z**75\n' | deepmind/math_dataset |
b'Let z = -6 - -10. What is the third derivative of 0*d**2 - d**3 - d**3 + z*d**2 wrt d?\n' | b'-12\n' | b'Let z = -6 - -10. What is the third derivative of 0*d**2 - d**3 - d**3 + z*d**2 wrt d?\n' | b'-12\n' | deepmind/math_dataset |
b'Let k(f) = -11*f**2 - 5*f - 3. Let m be k(-2). Let n = m - -1. Let s be n/(-8) + 1/2. Solve 0 = 3*z - 4*x - 11, s*x = -z - 0*x - 28 for z.\n' | b'-3\n' | b'Let k(f) = -11*f**2 - 5*f - 3. Let m be k(-2). Let n = m - -1. Let s be n/(-8) + 1/2. Solve 0 = 3*z - 4*x - 11, s*x = -z - 0*x - 28 for z.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (h**1)**(-40/7)*(h*((h/(h/(h/h**(-2/7))))/h)/h*h)**(2/99)*(h*h**(-2/7))**(-44)*h/(h/(h*h**1*h*h))*h**5 assuming h is positive.\n' | b'h**(-2165/77)\n' | b'Simplify (h**1)**(-40/7)*(h*((h/(h/(h/h**(-2/7))))/h)/h*h)**(2/99)*(h*h**(-2/7))**(-44)*h/(h/(h*h**1*h*h))*h**5 assuming h is positive.\n' | b'h**(-2165/77)\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 q and 1 g when two letters picked without replacement from gqqqqqqqqqqsggqgg.\n' | b'55/136\n' | b'Calculate prob of picking 1 q and 1 g when two letters picked without replacement from gqqqqqqqqqqsggqgg.\n' | b'55/136\n' | deepmind/math_dataset |
b'Simplify (m**(-7/3))**(-48)*m**(-5/6)*m**(-23) assuming m is positive.\n' | b'm**(529/6)\n' | b'Simplify (m**(-7/3))**(-48)*m**(-5/6)*m**(-23) assuming m is positive.\n' | b'm**(529/6)\n' | deepmind/math_dataset |
b'Let l(g) = -3*g**3 + g. Let j be l(-1). Find the first derivative of -3 - 4*n**2 + n**j + n**2 + n**2 wrt n.\n' | b'-2*n\n' | b'Let l(g) = -3*g**3 + g. Let j be l(-1). Find the first derivative of -3 - 4*n**2 + n**j + n**2 + n**2 wrt n.\n' | b'-2*n\n' | deepmind/math_dataset |
b'Four letters picked without replacement from jjlljeljxlllpee. What is prob of picking 3 j and 1 l?\n' | b'8/455\n' | b'Four letters picked without replacement from jjlljeljxlllpee. What is prob of picking 3 j and 1 l?\n' | b'8/455\n' | deepmind/math_dataset |
b'Let c(s) = 3*s - 10. Suppose -3*n + 5*n - 126 = 2*l, 5*l = -2*n + 154. Suppose -4*z + n - 23 = 0. Calculate c(z).\n' | b'23\n' | b'Let c(s) = 3*s - 10. Suppose -3*n + 5*n - 126 = 2*l, 5*l = -2*n + 154. Suppose -4*z + n - 23 = 0. Calculate c(z).\n' | b'23\n' | deepmind/math_dataset |
b'Suppose 0 = -5*o - 5*m + 92 + 38, -o - 2*m + 31 = 0. Let f be 6/o + -2*188/(-56). Let p(z) = -z**3 + 7*z**2 - 1. Calculate p(f).\n' | b'-1\n' | b'Suppose 0 = -5*o - 5*m + 92 + 38, -o - 2*m + 31 = 0. Let f be 6/o + -2*188/(-56). Let p(z) = -z**3 + 7*z**2 - 1. Calculate p(f).\n' | b'-1\n' | deepmind/math_dataset |
b'Let w(h) = -2280*h**2 + 45*h - 21. Let i(j) = -7*j**2 + 1. Let o(v) = -3*i(v) + w(v). Find the second derivative of o(q) wrt q.\n' | b'-4518\n' | b'Let w(h) = -2280*h**2 + 45*h - 21. Let i(j) = -7*j**2 + 1. Let o(v) = -3*i(v) + w(v). Find the second derivative of o(q) wrt q.\n' | b'-4518\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ddddddd. What is prob of sequence ddd?\n' | b'1\n' | b'Three letters picked without replacement from ddddddd. What is prob of sequence ddd?\n' | b'1\n' | deepmind/math_dataset |
b'Let f(x) = -x**2 + x - 1. Let i(v) = -75*v**2 + 10*v - 3. Let l(d) = -3*f(d) + i(d). Find the second derivative of l(j) wrt j.\n' | b'-144\n' | b'Let f(x) = -x**2 + x - 1. Let i(v) = -75*v**2 + 10*v - 3. Let l(d) = -3*f(d) + i(d). Find the second derivative of l(j) wrt j.\n' | b'-144\n' | deepmind/math_dataset |
b'Differentiate -88*x**2 + 69*x**2 - 4 - 5 - 2 wrt x.\n' | b'-38*x\n' | b'Differentiate -88*x**2 + 69*x**2 - 4 - 5 - 2 wrt x.\n' | b'-38*x\n' | deepmind/math_dataset |
b'Let o(k) = k**2 - 3*k + 2. Let n(w) = 10*w - 106. Let j be n(11). What is o(j)?\n' | b'6\n' | b'Let o(k) = k**2 - 3*k + 2. Let n(w) = 10*w - 106. Let j be n(11). What is o(j)?\n' | b'6\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 s and 2 g when three letters picked without replacement from wwgvggsgwwgmgwg.\n' | b'3/65\n' | b'Calculate prob of picking 1 s and 2 g when three letters picked without replacement from wwgvggsgwwgmgwg.\n' | b'3/65\n' | deepmind/math_dataset |
b'Let k(n) be the second derivative of n**6/720 - n**5/120 - n**4/3 - 3*n**2 + 7*n - 1. Let m(c) be the third derivative of k(c). Calculate m(2).\n' | b'1\n' | b'Let k(n) be the second derivative of n**6/720 - n**5/120 - n**4/3 - 3*n**2 + 7*n - 1. Let m(c) be the third derivative of k(c). Calculate m(2).\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 8, j: 3}. What is prob of picking 3 a and 1 j?\n' | b'28/55\n' | b'Four letters picked without replacement from {a: 8, j: 3}. What is prob of picking 3 a and 1 j?\n' | b'28/55\n' | deepmind/math_dataset |
b'Simplify d**(-2/29)*d**(2/49)*d*d**(-10/7)*d*d**(-25) assuming d is positive.\n' | b'd**(-34753/1421)\n' | b'Simplify d**(-2/29)*d**(2/49)*d*d**(-10/7)*d*d**(-25) assuming d is positive.\n' | b'd**(-34753/1421)\n' | deepmind/math_dataset |
b'Let q be (-6 - (-44)/8)/((-2)/24). Solve -3*d - q = k, 2*k - 5*k = 2*d - 3 for d.\n' | b'-3\n' | b'Let q be (-6 - (-44)/8)/((-2)/24). Solve -3*d - q = k, 2*k - 5*k = 2*d - 3 for d.\n' | b'-3\n' | deepmind/math_dataset |
b'Let q(y) = y**3 - 8*y**2 + 2*y - 3. Let t be q(8). Find the second derivative of -6*r + 5*r - t*r**4 + 16*r**4 wrt r.\n' | b'36*r**2\n' | b'Let q(y) = y**3 - 8*y**2 + 2*y - 3. Let t be q(8). Find the second derivative of -6*r + 5*r - t*r**4 + 16*r**4 wrt r.\n' | b'36*r**2\n' | deepmind/math_dataset |
b'Let g(o) = -o**3 - 8*o**2 - 13*o - 8. Let f be g(-7). Find the second derivative of 21*v - 4*v**2 + 12*v - v**5 - 6 - f*v wrt v.\n' | b'-20*v**3 - 8\n' | b'Let g(o) = -o**3 - 8*o**2 - 13*o - 8. Let f be g(-7). Find the second derivative of 21*v - 4*v**2 + 12*v - v**5 - 6 - f*v wrt v.\n' | b'-20*v**3 - 8\n' | deepmind/math_dataset |
b'Simplify (x*x**0/x*x**(4/7))/((x**0/x)/x)**(-12/7) assuming x is positive.\n' | b'x**(-20/7)\n' | b'Simplify (x*x**0/x*x**(4/7))/((x**0/x)/x)**(-12/7) assuming x is positive.\n' | b'x**(-20/7)\n' | deepmind/math_dataset |
b'What is prob of picking 1 h, 1 f, and 2 z when four letters picked without replacement from {f: 1, h: 1, z: 2, a: 1}?\n' | b'1/5\n' | b'What is prob of picking 1 h, 1 f, and 2 z when four letters picked without replacement from {f: 1, h: 1, z: 2, a: 1}?\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 1 o and 1 r when two letters picked without replacement from oghhoohgcrhgcgv?\n' | b'1/35\n' | b'What is prob of picking 1 o and 1 r when two letters picked without replacement from oghhoohgcrhgcgv?\n' | b'1/35\n' | deepmind/math_dataset |
b'Differentiate -1066 + 128*n + 486 + 434 wrt n.\n' | b'128\n' | b'Differentiate -1066 + 128*n + 486 + 434 wrt n.\n' | b'128\n' | deepmind/math_dataset |
b'Simplify ((b/(b**(5/2)/b))/(b*b*b/b**2)*(b/b**(-2))/(b*b*(b/b**(-1))/b*b))/(((b*b**(-3/5))/b)/(b*b/b**(1/12)))**44 assuming b is positive.\n' | b'b**(3247/30)\n' | b'Simplify ((b/(b**(5/2)/b))/(b*b*b/b**2)*(b/b**(-2))/(b*b*(b/b**(-1))/b*b))/(((b*b**(-3/5))/b)/(b*b/b**(1/12)))**44 assuming b is positive.\n' | b'b**(3247/30)\n' | deepmind/math_dataset |
b'Let m = 72 - 80. Let w(c) = -2*c**3 - 18*c**2 - 17*c - 4. Let x be w(m). Solve -3*g = -x*g + 2*a + 7, -17 = -2*g + 5*a for g.\n' | b'1\n' | b'Let m = 72 - 80. Let w(c) = -2*c**3 - 18*c**2 - 17*c - 4. Let x be w(m). Solve -3*g = -x*g + 2*a + 7, -17 = -2*g + 5*a for g.\n' | b'1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from qqznzzzznnnz. Give prob of picking 1 n and 3 q.\n' | b'0\n' | b'Four letters picked without replacement from qqznzzzznnnz. Give prob of picking 1 n and 3 q.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((t*(t*t*(t/(t*t**(-4)))/t*t)/t*t)/t*t*t**(2/3))/((t/t**5)/t*t/t**(-5))*(t**(-3)*t*t**(-6/11))**(-26) assuming t is positive.\n' | b't**(2404/33)\n' | b'Simplify ((t*(t*t*(t/(t*t**(-4)))/t*t)/t*t)/t*t*t**(2/3))/((t/t**5)/t*t/t**(-5))*(t**(-3)*t*t**(-6/11))**(-26) assuming t is positive.\n' | b't**(2404/33)\n' | deepmind/math_dataset |
b'Let n = 6 + -4. Let i = 8 + 7. Suppose -i = -5*q, 17 = n*u - 0*q - 5*q. Solve m = -5*v - 27, -v + 3*v + 3*m + u = 0 for v.\n' | b'-5\n' | b'Let n = 6 + -4. Let i = 8 + 7. Suppose -i = -5*q, 17 = n*u - 0*q - 5*q. Solve m = -5*v - 27, -v + 3*v + 3*m + u = 0 for v.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (a**(-4/9)/(a/(a*a**0*a))*(a*a*a/(a**(2/3)/a))**(-30))**(5/8) assuming a is positive.\n' | b'a**(-4475/72)\n' | b'Simplify (a**(-4/9)/(a/(a*a**0*a))*(a*a*a/(a**(2/3)/a))**(-30))**(5/8) assuming a is positive.\n' | b'a**(-4475/72)\n' | deepmind/math_dataset |
b'What is prob of sequence ca when two letters picked without replacement from cjcnazzzzj?\n' | b'1/45\n' | b'What is prob of sequence ca when two letters picked without replacement from cjcnazzzzj?\n' | b'1/45\n' | deepmind/math_dataset |
b'Let n(t) = 2*t - 5. Let m be n(5). Let h = -166 + 14. Let l = 154 + h. Solve -l*q = -3*d + 20, -4*d - 8 = q - m*d for q.\n' | b'-4\n' | b'Let n(t) = 2*t - 5. Let m be n(5). Let h = -166 + 14. Let l = 154 + h. Solve -l*q = -3*d + 20, -4*d - 8 = q - m*d for q.\n' | b'-4\n' | deepmind/math_dataset |
b'Let j = 6 + -5. Let v be j/(-3) + (-40)/(-3). Solve -2*n = 5*g + v, -n + 2 = n for g.\n' | b'-3\n' | b'Let j = 6 + -5. Let v be j/(-3) + (-40)/(-3). Solve -2*n = 5*g + v, -n + 2 = n for g.\n' | b'-3\n' | deepmind/math_dataset |
b'What is the second derivative of -140*r**4 + 174*r + 279*r**4 - 139*r**4 - 31*r + 494*r**5 - 3 wrt r?\n' | b'9880*r**3\n' | b'What is the second derivative of -140*r**4 + 174*r + 279*r**4 - 139*r**4 - 31*r + 494*r**5 - 3 wrt r?\n' | b'9880*r**3\n' | deepmind/math_dataset |
b'What is prob of sequence ou when two letters picked without replacement from {o: 3, u: 2}?\n' | b'3/10\n' | b'What is prob of sequence ou when two letters picked without replacement from {o: 3, u: 2}?\n' | b'3/10\n' | deepmind/math_dataset |
b'Simplify f**(2/5)/f**(-6/7) assuming f is positive.\n' | b'f**(44/35)\n' | b'Simplify f**(2/5)/f**(-6/7) assuming f is positive.\n' | b'f**(44/35)\n' | deepmind/math_dataset |
b'Differentiate 126*r + 77*r + 9012 + 26*r - 512*r - 4*r**2 with respect to r.\n' | b'-8*r - 283\n' | b'Differentiate 126*r + 77*r + 9012 + 26*r - 512*r - 4*r**2 with respect to r.\n' | b'-8*r - 283\n' | deepmind/math_dataset |
b'Let j(p) = -p**2 - 209*p + 1076. Let t be j(5). Solve 5*f - c = 8, t*c = f + 7*c + 2 for f.\n' | b'1\n' | b'Let j(p) = -p**2 - 209*p + 1076. Let t be j(5). Solve 5*f - c = 8, t*c = f + 7*c + 2 for f.\n' | b'1\n' | deepmind/math_dataset |
b'Let z(f) = f**2 + 1. Let u be z(-2). Find the first derivative of -t**2 + 11 + u*t**2 - 3 wrt t.\n' | b'8*t\n' | b'Let z(f) = f**2 + 1. Let u be z(-2). Find the first derivative of -t**2 + 11 + u*t**2 - 3 wrt t.\n' | b'8*t\n' | deepmind/math_dataset |
b'Calculate prob of sequence oncn when four letters picked without replacement from coccncncconoccnoccn.\n' | b'25/2907\n' | b'Calculate prob of sequence oncn when four letters picked without replacement from coccncncconoccnoccn.\n' | b'25/2907\n' | deepmind/math_dataset |
b'What is the first derivative of 600 - w**2 + 14*w**2 + 7*w**3 - 13*w**2 wrt w?\n' | b'21*w**2\n' | b'What is the first derivative of 600 - w**2 + 14*w**2 + 7*w**3 - 13*w**2 wrt w?\n' | b'21*w**2\n' | deepmind/math_dataset |
b'Simplify ((v*v/v**(-2/7)*v**(-8))/(v/v**0*v*v)**25)/((v/(v*v**(-8)*v))/v**(-7/3))**25 assuming v is positive.\n' | b'v**(-6595/21)\n' | b'Simplify ((v*v/v**(-2/7)*v**(-8))/(v/v**0*v*v)**25)/((v/(v*v**(-8)*v))/v**(-7/3))**25 assuming v is positive.\n' | b'v**(-6595/21)\n' | deepmind/math_dataset |
b'Simplify n/(n**(-4/7)/n*n)*n**(1/49)*(n*n**(7/3))/(n/(n*n/(n/(n*n/(n**(1/2)/n))*n)*n)) assuming n is positive.\n' | b'n**(2183/294)\n' | b'Simplify n/(n**(-4/7)/n*n)*n**(1/49)*(n*n**(7/3))/(n/(n*n/(n/(n*n/(n**(1/2)/n))*n)*n)) assuming n is positive.\n' | b'n**(2183/294)\n' | deepmind/math_dataset |
b'Let g(b) = 8*b + 1. Let h be g(-1). Let c be 7/28 + (-94)/(-8). Let n = c + h. Solve 4*s + 2*v = 34 - 8, -4*s - n*v = -41 for s.\n' | b'4\n' | b'Let g(b) = 8*b + 1. Let h be g(-1). Let c be 7/28 + (-94)/(-8). Let n = c + h. Solve 4*s + 2*v = 34 - 8, -4*s - n*v = -41 for s.\n' | b'4\n' | deepmind/math_dataset |
b'Let l(n) = n**3 - 8*n**2 + 8*n - 3. Let u(z) = 6*z - 17. Let g be u(7). Let r(x) = -x**2 + 26*x - 18. Let d be r(g). Determine l(d).\n' | b'4\n' | b'Let l(n) = n**3 - 8*n**2 + 8*n - 3. Let u(z) = 6*z - 17. Let g be u(7). Let r(x) = -x**2 + 26*x - 18. Let d be r(g). Determine l(d).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (c*c**(7/3)*c)**41 assuming c is positive.\n' | b'c**(533/3)\n' | b'Simplify (c*c**(7/3)*c)**41 assuming c is positive.\n' | b'c**(533/3)\n' | deepmind/math_dataset |
b'Let a(m) be the first derivative of 775*m**3 + 23*m**2/2 - 30*m - 5524. Find the second derivative of a(c) wrt c.\n' | b'4650\n' | b'Let a(m) be the first derivative of 775*m**3 + 23*m**2/2 - 30*m - 5524. Find the second derivative of a(c) wrt c.\n' | b'4650\n' | deepmind/math_dataset |
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