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 (l**(-15))**(15/4)/(l*l**11*l*l)**(-1/9) assuming l is positive.\n' | b'l**(-1969/36)\n' | b'Simplify (l**(-15))**(15/4)/(l*l**11*l*l)**(-1/9) assuming l is positive.\n' | b'l**(-1969/36)\n' | deepmind/math_dataset |
b'Let a be 3/(28/(-20) - -2). Let j(x) = -6*x**3 + 5*x**2 + 4. Let q(f) = -5*f**3 + 4*f**2 + 4. Let k(v) = a*q(v) - 4*j(v). Calculate k(0).\n' | b'4\n' | b'Let a be 3/(28/(-20) - -2). Let j(x) = -6*x**3 + 5*x**2 + 4. Let q(f) = -5*f**3 + 4*f**2 + 4. Let k(v) = a*q(v) - 4*j(v). Calculate k(0).\n' | b'4\n' | deepmind/math_dataset |
b'Let o(q) = 16*q**3 - 3*q**2 - 26*q. Let m(y) = -32*y**3 + 5*y**2 + 51*y. Let f(c) = 3*m(c) + 5*o(c). Find the second derivative of f(w) wrt w.\n' | b'-96*w\n' | b'Let o(q) = 16*q**3 - 3*q**2 - 26*q. Let m(y) = -32*y**3 + 5*y**2 + 51*y. Let f(c) = 3*m(c) + 5*o(c). Find the second derivative of f(w) wrt w.\n' | b'-96*w\n' | deepmind/math_dataset |
b'Simplify ((h**(-1/9)*h)/h**(1/9))/(h**(4/7)/h**(-2/7))*(h*(h**(3/2)/h*h)/h*h*h*h/(h**4/h))/(h**7/(h**(-3/7)*h)) assuming h is positive.\n' | b'h**(-631/126)\n' | b'Simplify ((h**(-1/9)*h)/h**(1/9))/(h**(4/7)/h**(-2/7))*(h*(h**(3/2)/h*h)/h*h*h*h/(h**4/h))/(h**7/(h**(-3/7)*h)) assuming h is positive.\n' | b'h**(-631/126)\n' | deepmind/math_dataset |
b'Suppose p - 3 = 2*p. Let r(l) = -l**2 - 1. Suppose 3*i = -1 + 4. Let q(c) = 5*c**2 + 4*c + 8. Let n(k) = i*q(k) + 4*r(k). What is n(p)?\n' | b'1\n' | b'Suppose p - 3 = 2*p. Let r(l) = -l**2 - 1. Suppose 3*i = -1 + 4. Let q(c) = 5*c**2 + 4*c + 8. Let n(k) = i*q(k) + 4*r(k). What is n(p)?\n' | b'1\n' | deepmind/math_dataset |
b'What is prob of sequence hsso when four letters picked without replacement from {s: 3, h: 3, c: 2, o: 5}?\n' | b'3/572\n' | b'What is prob of sequence hsso when four letters picked without replacement from {s: 3, h: 3, c: 2, o: 5}?\n' | b'3/572\n' | deepmind/math_dataset |
b'Calculate prob of sequence vecc when four letters picked without replacement from {x: 3, v: 3, z: 1, c: 2, j: 3, e: 4}.\n' | b'1/1820\n' | b'Calculate prob of sequence vecc when four letters picked without replacement from {x: 3, v: 3, z: 1, c: 2, j: 3, e: 4}.\n' | b'1/1820\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 o when two letters picked without replacement from oooooppoojopjoobouoo.\n' | b'39/95\n' | b'Calculate prob of picking 2 o when two letters picked without replacement from oooooppoojopjoobouoo.\n' | b'39/95\n' | deepmind/math_dataset |
b'Let q(x) = -2*x + 4. Let j = 18 + -18. Suppose j = 8*v - 6*v + 14. Calculate q(v).\n' | b'18\n' | b'Let q(x) = -2*x + 4. Let j = 18 + -18. Suppose j = 8*v - 6*v + 14. Calculate q(v).\n' | b'18\n' | deepmind/math_dataset |
b'Let m(d) = 2*d - 1 - d - 6*d - 4*d. What is m(1)?\n' | b'-10\n' | b'Let m(d) = 2*d - 1 - d - 6*d - 4*d. What is m(1)?\n' | b'-10\n' | deepmind/math_dataset |
b'Suppose -12*g + 18*g - 42 = 0. Find the second derivative of -k - 3*k**3 - 129*k**3 + g*k + 22 - 9 wrt k.\n' | b'-792*k\n' | b'Suppose -12*g + 18*g - 42 = 0. Find the second derivative of -k - 3*k**3 - 129*k**3 + g*k + 22 - 9 wrt k.\n' | b'-792*k\n' | deepmind/math_dataset |
b'Four letters picked without replacement from xfdiifeu. What is prob of sequence ixud?\n' | b'1/840\n' | b'Four letters picked without replacement from xfdiifeu. What is prob of sequence ixud?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let q be (7/(-2))/((-2)/4). Suppose b - 5*o + 0 - 10 = 0, 5*o = -b. Suppose b*z = 2*x + 2*z - q, -z = 5*x - 26. Solve i = 5*d - 5, -3*i - 25 = x*d + 2*i for d.\n' | b'0\n' | b'Let q be (7/(-2))/((-2)/4). Suppose b - 5*o + 0 - 10 = 0, 5*o = -b. Suppose b*z = 2*x + 2*z - q, -z = 5*x - 26. Solve i = 5*d - 5, -3*i - 25 = x*d + 2*i for d.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify (l**(-3/2)/l**2)/(l**(4/7)*l**8)*(l*l*l/(l**(-1/3)*l)*l)**(-36)*(l**0)**(-2/9) assuming l is positive.\n' | b'l**(-1849/14)\n' | b'Simplify (l**(-3/2)/l**2)/(l**(4/7)*l**8)*(l*l*l/(l**(-1/3)*l)*l)**(-36)*(l**0)**(-2/9) assuming l is positive.\n' | b'l**(-1849/14)\n' | deepmind/math_dataset |
b'Let z(p) = 2 - 3 - 1 - 2*p. Let l be z(-3). Let v(u) = -2*u + 2*u**2 + 5 - l + 3*u. What is v(-1)?\n' | b'2\n' | b'Let z(p) = 2 - 3 - 1 - 2*p. Let l be z(-3). Let v(u) = -2*u + 2*u**2 + 5 - l + 3*u. What is v(-1)?\n' | b'2\n' | deepmind/math_dataset |
b'What is prob of sequence ppbn when four letters picked without replacement from pppblppen?\n' | b'5/756\n' | b'What is prob of sequence ppbn when four letters picked without replacement from pppblppen?\n' | b'5/756\n' | deepmind/math_dataset |
b'Suppose -2000 = 3*h - 19*h. Let o = h + -123. What is the third derivative of -27*t + 8*t**o - 32*t**2 - 42*t**3 + 27*t wrt t?\n' | b'-252\n' | b'Suppose -2000 = 3*h - 19*h. Let o = h + -123. What is the third derivative of -27*t + 8*t**o - 32*t**2 - 42*t**3 + 27*t wrt t?\n' | b'-252\n' | deepmind/math_dataset |
b'What is the derivative of 55*c - 59*c - 141*c - 29*c + 469 wrt c?\n' | b'-174\n' | b'What is the derivative of 55*c - 59*c - 141*c - 29*c + 469 wrt c?\n' | b'-174\n' | deepmind/math_dataset |
b'Simplify (z**(2/5)*z/(z*z/(((((((z/(z/z**(-3/13)))/z*z)/z*z*z)/z)/z*z)/z)/z)))**11*(z/(z/(z*z**7*z))*z*z**(-5))**(-35/3) assuming z is positive.\n' | b'z**(-17447/195)\n' | b'Simplify (z**(2/5)*z/(z*z/(((((((z/(z/z**(-3/13)))/z*z)/z*z*z)/z)/z*z)/z)/z)))**11*(z/(z/(z*z**7*z))*z*z**(-5))**(-35/3) assuming z is positive.\n' | b'z**(-17447/195)\n' | deepmind/math_dataset |
b'Let f = -2 - -4. Let z be -40 + 23 - 44*(-11)/22. Solve q = -z*r - 12, -3*r - 5*q = -f*r + 12 for r.\n' | b'-2\n' | b'Let f = -2 - -4. Let z be -40 + 23 - 44*(-11)/22. Solve q = -z*r - 12, -3*r - 5*q = -f*r + 12 for r.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose 0 = -5*u + 2*u + 36. Let h be u/(-8) + 45/10. What is the derivative of -23*i + 12*i + 13*i - h wrt i?\n' | b'2\n' | b'Suppose 0 = -5*u + 2*u + 36. Let h be u/(-8) + 45/10. What is the derivative of -23*i + 12*i + 13*i - h wrt i?\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from nndndndddn. What is prob of picking 2 d?\n' | b'2/9\n' | b'Two letters picked without replacement from nndndndddn. What is prob of picking 2 d?\n' | b'2/9\n' | deepmind/math_dataset |
b'Let l(v) = -7*v**3 + 6*v**2 + 7*v - 9. Let q(u) = -68*u**3 + 60*u**2 + 69*u - 89. Let c(i) = -39*l(i) + 4*q(i). Let k be (-4)/18 - (-86)/(-18). What is c(k)?\n' | b'5\n' | b'Let l(v) = -7*v**3 + 6*v**2 + 7*v - 9. Let q(u) = -68*u**3 + 60*u**2 + 69*u - 89. Let c(i) = -39*l(i) + 4*q(i). Let k be (-4)/18 - (-86)/(-18). What is c(k)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose l + 347 = 4*a, 18 = a + l - 70. Find the third derivative of -8544*k + 8544*k - k**2 - 187*k**5 + a wrt k.\n' | b'-11220*k**2\n' | b'Suppose l + 347 = 4*a, 18 = a + l - 70. Find the third derivative of -8544*k + 8544*k - k**2 - 187*k**5 + a wrt k.\n' | b'-11220*k**2\n' | deepmind/math_dataset |
b'Simplify (u**(-3)*u*u**(2/11)/u)**(-41) assuming u is positive.\n' | b'u**(1271/11)\n' | b'Simplify (u**(-3)*u*u**(2/11)/u)**(-41) assuming u is positive.\n' | b'u**(1271/11)\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {u: 12, a: 3}. What is prob of picking 4 u?\n' | b'33/91\n' | b'Four letters picked without replacement from {u: 12, a: 3}. What is prob of picking 4 u?\n' | b'33/91\n' | deepmind/math_dataset |
b'Let o be 133/(-798)*(-25 - (2 + -3)). Solve 3*u = 4*h + o + 19, 3*h = -3*u - 12 for u.\n' | b'1\n' | b'Let o be 133/(-798)*(-25 - (2 + -3)). Solve 3*u = 4*h + o + 19, 3*h = -3*u - 12 for u.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 4*i + 5*p = -i + 5, p = -3*i - 3. Suppose 6*m - 3*y = 2*m + 8, -4*y = 0. Let n(h) = -h + 2*h**m - 3*h**2 + 0*h**2 - 2. Calculate n(i).\n' | b'-4\n' | b'Suppose 4*i + 5*p = -i + 5, p = -3*i - 3. Suppose 6*m - 3*y = 2*m + 8, -4*y = 0. Let n(h) = -h + 2*h**m - 3*h**2 + 0*h**2 - 2. Calculate n(i).\n' | b'-4\n' | deepmind/math_dataset |
b'Let l(f) = -17*f**3 - 15. Let o(g) = 25*g**3 + 26*g + 19 - 26*g + 3. Let q(c) = 8*l(c) + 5*o(c). Differentiate q(d) with respect to d.\n' | b'-33*d**2\n' | b'Let l(f) = -17*f**3 - 15. Let o(g) = 25*g**3 + 26*g + 19 - 26*g + 3. Let q(c) = 8*l(c) + 5*o(c). Differentiate q(d) with respect to d.\n' | b'-33*d**2\n' | deepmind/math_dataset |
b'What is prob of picking 2 e and 1 b when three letters picked without replacement from {e: 2, b: 17}?\n' | b'1/57\n' | b'What is prob of picking 2 e and 1 b when three letters picked without replacement from {e: 2, b: 17}?\n' | b'1/57\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {t: 2, e: 1, z: 1}. Give prob of sequence ze.\n' | b'1/12\n' | b'Two letters picked without replacement from {t: 2, e: 1, z: 1}. Give prob of sequence ze.\n' | b'1/12\n' | deepmind/math_dataset |
b'Let a(o) = 4*o. Let j(v) = -v**2 - 13*v - 1. Let b be ((-2)/5)/(2/(-10)). Let m(f) = b*j(f) + 7*a(f). Calculate m(2).\n' | b'-6\n' | b'Let a(o) = 4*o. Let j(v) = -v**2 - 13*v - 1. Let b be ((-2)/5)/(2/(-10)). Let m(f) = b*j(f) + 7*a(f). Calculate m(2).\n' | b'-6\n' | deepmind/math_dataset |
b'Let f(j) = -2*j**2 + j**2 - 8 + 2*j**2 - 6*j. Let d be f(8). Let h(k) = 3 + 2 + 9*k - d*k. Give h(-4).\n' | b'1\n' | b'Let f(j) = -2*j**2 + j**2 - 8 + 2*j**2 - 6*j. Let d be f(8). Let h(k) = 3 + 2 + 9*k - d*k. Give h(-4).\n' | b'1\n' | deepmind/math_dataset |
b'Let k = 863/30 - 115/4. Let o(x) be the third derivative of 0*x + 0 + 0*x**5 + 0*x**3 - 1/12*x**4 - k*x**6 + x**2. What is the second derivative of o(r) wrt r?\n' | b'-12*r\n' | b'Let k = 863/30 - 115/4. Let o(x) be the third derivative of 0*x + 0 + 0*x**5 + 0*x**3 - 1/12*x**4 - k*x**6 + x**2. What is the second derivative of o(r) wrt r?\n' | b'-12*r\n' | deepmind/math_dataset |
b'Four letters picked without replacement from gfpptofzpzgtoggpzftf. What is prob of sequence zttg?\n' | b'1/1615\n' | b'Four letters picked without replacement from gfpptofzpzgtoggpzftf. What is prob of sequence zttg?\n' | b'1/1615\n' | deepmind/math_dataset |
b'Simplify (t**(-1/4)/(t**4*t*t))**14 assuming t is positive.\n' | b't**(-175/2)\n' | b'Simplify (t**(-1/4)/(t**4*t*t))**14 assuming t is positive.\n' | b't**(-175/2)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 1, b: 1, c: 1, k: 2, e: 2, p: 8}. What is prob of picking 1 c and 1 k?\n' | b'2/105\n' | b'Two letters picked without replacement from {a: 1, b: 1, c: 1, k: 2, e: 2, p: 8}. What is prob of picking 1 c and 1 k?\n' | b'2/105\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {r: 4, a: 4, y: 1, i: 5, z: 4, j: 2}. What is prob of sequence zaj?\n' | b'4/855\n' | b'Three letters picked without replacement from {r: 4, a: 4, y: 1, i: 5, z: 4, j: 2}. What is prob of sequence zaj?\n' | b'4/855\n' | deepmind/math_dataset |
b'Let q(d) be the second derivative of d**4/4 + d**3/6 - 4143*d. Suppose 1 = -3*s + 4. What is q(s)?\n' | b'4\n' | b'Let q(d) be the second derivative of d**4/4 + d**3/6 - 4143*d. Suppose 1 = -3*s + 4. What is q(s)?\n' | b'4\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {b: 10, h: 2, u: 3, p: 5}. Give prob of picking 2 p and 1 b.\n' | b'5/57\n' | b'Three letters picked without replacement from {b: 10, h: 2, u: 3, p: 5}. Give prob of picking 2 p and 1 b.\n' | b'5/57\n' | deepmind/math_dataset |
b'What is the third derivative of 78*s**3 + 139*s**2 - 208*s**4 - 10946*s + 10942*s - 86*s**3 wrt s?\n' | b'-4992*s - 48\n' | b'What is the third derivative of 78*s**3 + 139*s**2 - 208*s**4 - 10946*s + 10942*s - 86*s**3 wrt s?\n' | b'-4992*s - 48\n' | deepmind/math_dataset |
b'Let q(m) be the second derivative of -m**3/3 + 7*m**2 + 5953*m. What is q(-16)?\n' | b'46\n' | b'Let q(m) be the second derivative of -m**3/3 + 7*m**2 + 5953*m. What is q(-16)?\n' | b'46\n' | deepmind/math_dataset |
b'Suppose d - 21 = -4*t, 2*t - 3 = -4*d + 25. Suppose d*l + x + 2*x = 55, 0 = -l - 3*x + 11. Solve -5*f + l = -2*j - 12, 4*f = -j + 21 for f.\n' | b'5\n' | b'Suppose d - 21 = -4*t, 2*t - 3 = -4*d + 25. Suppose d*l + x + 2*x = 55, 0 = -l - 3*x + 11. Solve -5*f + l = -2*j - 12, 4*f = -j + 21 for f.\n' | b'5\n' | deepmind/math_dataset |
b'Let a(o) be the third derivative of o**8/112 - 79*o**7/30 + 317*o**5/30 - 1777*o**2. What is the third derivative of a(g) wrt g?\n' | b'180*g**2 - 13272*g\n' | b'Let a(o) be the third derivative of o**8/112 - 79*o**7/30 + 317*o**5/30 - 1777*o**2. What is the third derivative of a(g) wrt g?\n' | b'180*g**2 - 13272*g\n' | deepmind/math_dataset |
b'Let m(f) = -f**3 - 3*f**2 - f - 1. Suppose -3*r - 2*g + 1 = -0*g, -4*r - 2 = 2*g. Let t(j) = 2*j - 13. Let d be t(6). Let k = r - d. Determine m(k).\n' | b'-3\n' | b'Let m(f) = -f**3 - 3*f**2 - f - 1. Suppose -3*r - 2*g + 1 = -0*g, -4*r - 2 = 2*g. Let t(j) = 2*j - 13. Let d be t(6). Let k = r - d. Determine m(k).\n' | b'-3\n' | deepmind/math_dataset |
b'What is the first derivative of 3877 - 5414 + 3424 - 8188*k + 7591 wrt k?\n' | b'-8188\n' | b'What is the first derivative of 3877 - 5414 + 3424 - 8188*k + 7591 wrt k?\n' | b'-8188\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 x when two letters picked without replacement from sxxsxxxx.\n' | b'15/28\n' | b'Calculate prob of picking 2 x when two letters picked without replacement from sxxsxxxx.\n' | b'15/28\n' | deepmind/math_dataset |
b'Let w = -98 - -97. Let n(k) = k**3 + 3*k**2 + 5*k + 4. Let u(o) = -14*o - 5*o**2 - 2*o**3 - 3*o**2 - 11 + 0*o**2. Let i(a) = -8*n(a) - 3*u(a). Give i(w).\n' | b'1\n' | b'Let w = -98 - -97. Let n(k) = k**3 + 3*k**2 + 5*k + 4. Let u(o) = -14*o - 5*o**2 - 2*o**3 - 3*o**2 - 11 + 0*o**2. Let i(a) = -8*n(a) - 3*u(a). Give i(w).\n' | b'1\n' | deepmind/math_dataset |
b'Let o = -1 + 7. Find the third derivative of -5*v**2 - o*v + 10*v**2 + 6*v - 6*v**4 wrt v.\n' | b'-144*v\n' | b'Let o = -1 + 7. Find the third derivative of -5*v**2 - o*v + 10*v**2 + 6*v - 6*v**4 wrt v.\n' | b'-144*v\n' | deepmind/math_dataset |
b'Let z = 34 + 161. Let j = z - 195. Solve -4*n - y - 6 = j, 5*y = 4*n + n - 5 for n.\n' | b'-1\n' | b'Let z = 34 + 161. Let j = z - 195. Solve -4*n - y - 6 = j, 5*y = 4*n + n - 5 for n.\n' | b'-1\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {r: 5, u: 2, h: 5}. Give prob of picking 4 r.\n' | b'1/99\n' | b'Four letters picked without replacement from {r: 5, u: 2, h: 5}. Give prob of picking 4 r.\n' | b'1/99\n' | deepmind/math_dataset |
b'Let l = -3 - -5. Let u(x) = -x - 2. Let a(c) = -3*c - 3. Let p(q) = 2*a(q) - 5*u(q). Let b be p(4). Solve l*m = -5*r + 7, 4*m + 2*r + 4 + 6 = b for m.\n' | b'-4\n' | b'Let l = -3 - -5. Let u(x) = -x - 2. Let a(c) = -3*c - 3. Let p(q) = 2*a(q) - 5*u(q). Let b be p(4). Solve l*m = -5*r + 7, 4*m + 2*r + 4 + 6 = b for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Calculate prob of sequence ccea when four letters picked without replacement from jaaccnsaeacccnjanec.\n' | b'25/7752\n' | b'Calculate prob of sequence ccea when four letters picked without replacement from jaaccnsaeacccnjanec.\n' | b'25/7752\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {w: 5, c: 2, i: 5}. What is prob of picking 1 c, 1 w, and 2 i?\n' | b'20/99\n' | b'Four letters picked without replacement from {w: 5, c: 2, i: 5}. What is prob of picking 1 c, 1 w, and 2 i?\n' | b'20/99\n' | deepmind/math_dataset |
b'Suppose 0 = l + 3, -4*t = l - 10 - 11. Let d(r) = r**2 - 10*r + 8. Calculate d(t).\n' | b'-16\n' | b'Suppose 0 = l + 3, -4*t = l - 10 - 11. Let d(r) = r**2 - 10*r + 8. Calculate d(t).\n' | b'-16\n' | deepmind/math_dataset |
b'Let n be 20/25 - 132/15*-4. Let i be (-4)/((-32)/30) - (-9)/n. Suppose -i*r = r - 25. Solve -r*j + 20 = 0, t + 0*j - j = -6 for t.\n' | b'-2\n' | b'Let n be 20/25 - 132/15*-4. Let i be (-4)/((-32)/30) - (-9)/n. Suppose -i*r = r - 25. Solve -r*j + 20 = 0, t + 0*j - j = -6 for t.\n' | b'-2\n' | deepmind/math_dataset |
b'Let x be ((-1)/(-3))/(5/45). Let a(g) = g**2 - g - 1. Let h be a(x). What is the third derivative of -p**5 - 3*p**6 - 2*p**2 + p**h wrt p?\n' | b'-360*p**3\n' | b'Let x be ((-1)/(-3))/(5/45). Let a(g) = g**2 - g - 1. Let h be a(x). What is the third derivative of -p**5 - 3*p**6 - 2*p**2 + p**h wrt p?\n' | b'-360*p**3\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {a: 2, p: 1}. What is prob of picking 2 a?\n' | b'1/3\n' | b'Two letters picked without replacement from {a: 2, p: 1}. What is prob of picking 2 a?\n' | b'1/3\n' | deepmind/math_dataset |
b'Let a be 1116/189 + (-4)/(-42). Let k(d) = d + 3. Determine k(a).\n' | b'9\n' | b'Let a be 1116/189 + (-4)/(-42). Let k(d) = d + 3. Determine k(a).\n' | b'9\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {w: 6, o: 7}. Give prob of picking 3 w.\n' | b'10/143\n' | b'Three letters picked without replacement from {w: 6, o: 7}. Give prob of picking 3 w.\n' | b'10/143\n' | deepmind/math_dataset |
b'Simplify (s*s**5*s*s*s/s**(2/5)*s)/(s**0*s**2) assuming s is positive.\n' | b's**(38/5)\n' | b'Simplify (s*s**5*s*s*s/s**(2/5)*s)/(s**0*s**2) assuming s is positive.\n' | b's**(38/5)\n' | deepmind/math_dataset |
b'What is the second derivative of -1593*w + 387*w**2 + 994*w - 998*w + 3*w**3 wrt w?\n' | b'18*w + 774\n' | b'What is the second derivative of -1593*w + 387*w**2 + 994*w - 998*w + 3*w**3 wrt w?\n' | b'18*w + 774\n' | deepmind/math_dataset |
b'Let o be (-11)/(-4) - 9/(-36). Let p be 7/6 + o/(-18). Let h(m) = -m**2 + 2. Let t(w) = 2*w**2 - w + 12. Let z(c) = -6*h(c) + t(c). What is z(p)?\n' | b'7\n' | b'Let o be (-11)/(-4) - 9/(-36). Let p be 7/6 + o/(-18). Let h(m) = -m**2 + 2. Let t(w) = 2*w**2 - w + 12. Let z(c) = -6*h(c) + t(c). What is z(p)?\n' | b'7\n' | deepmind/math_dataset |
b'Let m be 10 + -5 - (-3 + 4 + 0). Suppose -2*f + 3*d + m = 0, -3*f - 2*f + 10 = 3*d. Solve -l - f*x = -4*x + 5, -4*l - 2*x = 0 for l.\n' | b'-1\n' | b'Let m be 10 + -5 - (-3 + 4 + 0). Suppose -2*f + 3*d + m = 0, -3*f - 2*f + 10 = 3*d. Solve -l - f*x = -4*x + 5, -4*l - 2*x = 0 for l.\n' | b'-1\n' | deepmind/math_dataset |
b'Let a be (1 - -1)/(-1) + 7. Let p(m) = 6*m - 6*m + 6*m - 10 - 8*m + 3*m. What is p(a)?\n' | b'-5\n' | b'Let a be (1 - -1)/(-1) + 7. Let p(m) = 6*m - 6*m + 6*m - 10 - 8*m + 3*m. What is p(a)?\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 5*t = -5*k + 180, -5*k + 86*t - 85*t = -198. Solve m + 38*q = k*q + 2, 9 = 3*q for m.\n' | b'5\n' | b'Suppose 5*t = -5*k + 180, -5*k + 86*t - 85*t = -198. Solve m + 38*q = k*q + 2, 9 = 3*q for m.\n' | b'5\n' | deepmind/math_dataset |
b'Let l(t) = 14*t + 177. Let y be l(-13). Let p(k) = k**2 + 6*k - 3. Calculate p(y).\n' | b'-8\n' | b'Let l(t) = 14*t + 177. Let y be l(-13). Let p(k) = k**2 + 6*k - 3. Calculate p(y).\n' | b'-8\n' | deepmind/math_dataset |
b'Suppose 15*b = 14*b + 25. Let a = b - 25. Solve a = -w + j - 5 - 4, -31 = 3*w - 4*j for w.\n' | b'-5\n' | b'Suppose 15*b = 14*b + 25. Let a = b - 25. Solve a = -w + j - 5 - 4, -31 = 3*w - 4*j for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (((w**(-5)*w)/w*w)/w)/(w/((w**(-13)*w)/w)) assuming w is positive.\n' | b'w**(-19)\n' | b'Simplify (((w**(-5)*w)/w*w)/w)/(w/((w**(-13)*w)/w)) assuming w is positive.\n' | b'w**(-19)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from cchjz. What is prob of picking 1 c, 1 h, and 1 z?\n' | b'1/5\n' | b'Three letters picked without replacement from cchjz. What is prob of picking 1 c, 1 h, and 1 z?\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 b when two letters picked without replacement from {f: 3, c: 1, b: 7, p: 2, h: 1, n: 4}?\n' | b'7/153\n' | b'What is prob of picking 1 c and 1 b when two letters picked without replacement from {f: 3, c: 1, b: 7, p: 2, h: 1, n: 4}?\n' | b'7/153\n' | deepmind/math_dataset |
b'Simplify ((l**13)**(-3/4)/(l**(2/15))**(-4/21))**(-13) assuming l is positive.\n' | b'l**(159289/1260)\n' | b'Simplify ((l**13)**(-3/4)/(l**(2/15))**(-4/21))**(-13) assuming l is positive.\n' | b'l**(159289/1260)\n' | deepmind/math_dataset |
b'What is the first derivative of -2*g - 36 - 214 - 67 - 18*g**2 - g wrt g?\n' | b'-36*g - 3\n' | b'What is the first derivative of -2*g - 36 - 214 - 67 - 18*g**2 - g wrt g?\n' | b'-36*g - 3\n' | deepmind/math_dataset |
b'Let h(q) be the third derivative of 3*q**2 + 0*q**4 - 1/3*q**3 + 0 + 1/20*q**5 + 0*q. What is the derivative of h(p) wrt p?\n' | b'6*p\n' | b'Let h(q) be the third derivative of 3*q**2 + 0*q**4 - 1/3*q**3 + 0 + 1/20*q**5 + 0*q. What is the derivative of h(p) wrt p?\n' | b'6*p\n' | deepmind/math_dataset |
b'Let d(h) be the first derivative of h**4/12 - h**3/3 + 26*h**2 - 22*h - 25. Let b(n) be the first derivative of d(n). Differentiate b(s) wrt s.\n' | b'2*s - 2\n' | b'Let d(h) be the first derivative of h**4/12 - h**3/3 + 26*h**2 - 22*h - 25. Let b(n) be the first derivative of d(n). Differentiate b(s) wrt s.\n' | b'2*s - 2\n' | deepmind/math_dataset |
b'What is the first derivative of 7*g - 26*g + 1 - 9 - 14 wrt g?\n' | b'-19\n' | b'What is the first derivative of 7*g - 26*g + 1 - 9 - 14 wrt g?\n' | b'-19\n' | deepmind/math_dataset |
b'Let m(j) = -14*j**2 + 68*j + 15. Let t be m(5). Suppose -33 = -5*q - 8. Let b(v) = 6*v + 1 + q - 2*v**2 - 2. Determine b(t).\n' | b'-16\n' | b'Let m(j) = -14*j**2 + 68*j + 15. Let t be m(5). Suppose -33 = -5*q - 8. Let b(v) = 6*v + 1 + q - 2*v**2 - 2. Determine b(t).\n' | b'-16\n' | deepmind/math_dataset |
b'What is prob of sequence acc when three letters picked without replacement from ccccccacaccc?\n' | b'3/22\n' | b'What is prob of sequence acc when three letters picked without replacement from ccccccacaccc?\n' | b'3/22\n' | deepmind/math_dataset |
b'Calculate prob of sequence uj when two letters picked without replacement from {c: 4, y: 2, j: 5, u: 2}.\n' | b'5/78\n' | b'Calculate prob of sequence uj when two letters picked without replacement from {c: 4, y: 2, j: 5, u: 2}.\n' | b'5/78\n' | deepmind/math_dataset |
b'Calculate prob of sequence qf when two letters picked without replacement from qdqqqfqqdqqbqqbfbqqq.\n' | b'13/190\n' | b'Calculate prob of sequence qf when two letters picked without replacement from qdqqqfqqdqqbqqbfbqqq.\n' | b'13/190\n' | deepmind/math_dataset |
b'Let r be (-4 + -1)*(-48)/5. Suppose 3*k - r = -4*v - 9, -2*v = -6. Suppose 2*j = -j + k. Solve 2*t + 20 = j*c, -c + 4*c + 3*t = 0 for c.\n' | b'4\n' | b'Let r be (-4 + -1)*(-48)/5. Suppose 3*k - r = -4*v - 9, -2*v = -6. Suppose 2*j = -j + k. Solve 2*t + 20 = j*c, -c + 4*c + 3*t = 0 for c.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify (s**(2/7)*((s/(s/(s*s**(2/7)*s*s)))/s)/s*(s**(2/3))**(-30))/(((s/s**(3/5))/s**(1/4))/(s**(-2)*s/(s**(3/2)*s*s*s))) assuming s is positive.\n' | b's**(-3371/140)\n' | b'Simplify (s**(2/7)*((s/(s/(s*s**(2/7)*s*s)))/s)/s*(s**(2/3))**(-30))/(((s/s**(3/5))/s**(1/4))/(s**(-2)*s/(s**(3/2)*s*s*s))) assuming s is positive.\n' | b's**(-3371/140)\n' | deepmind/math_dataset |
b'Suppose -10 = -6*q + 4*q. Let u = 9 - q. Solve y - 12 = u*h - 5, 2*y + 7 = h for h.\n' | b'-3\n' | b'Suppose -10 = -6*q + 4*q. Let u = 9 - q. Solve y - 12 = u*h - 5, 2*y + 7 = h for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from yoyzhhzoyhzzyyyoyyo. Give prob of picking 3 y and 1 o.\n' | b'56/969\n' | b'Four letters picked without replacement from yoyzhhzoyhzzyyyoyyo. Give prob of picking 3 y and 1 o.\n' | b'56/969\n' | deepmind/math_dataset |
b'Simplify u**5/(u*u/u**(2/7))*(u**(-2/7))**(7/3) assuming u is positive.\n' | b'u**(55/21)\n' | b'Simplify u**5/(u*u/u**(2/7))*(u**(-2/7))**(7/3) assuming u is positive.\n' | b'u**(55/21)\n' | deepmind/math_dataset |
b'Let a = 2 - 8. Let q(o) = o**3 + 6*o + 0*o**3 + 565 + 116*o**2 - 109*o**2 - 567. Give q(a).\n' | b'-2\n' | b'Let a = 2 - 8. Let q(o) = o**3 + 6*o + 0*o**3 + 565 + 116*o**2 - 109*o**2 - 567. Give q(a).\n' | b'-2\n' | deepmind/math_dataset |
b'Let a = -29 - -31. Let v(x) = 2*x - 4. Let t be v(6). Suppose -a = 2*j - t. Solve -4*f + j*p - 14 = 0, -2*f = 3*f + 5*p for f.\n' | b'-2\n' | b'Let a = -29 - -31. Let v(x) = 2*x - 4. Let t be v(6). Suppose -a = 2*j - t. Solve -4*f + j*p - 14 = 0, -2*f = 3*f + 5*p for f.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (((l**(1/2)/l)/l)**(-3/2))**(-22) assuming l is positive.\n' | b'l**(-99/2)\n' | b'Simplify (((l**(1/2)/l)/l)**(-3/2))**(-22) assuming l is positive.\n' | b'l**(-99/2)\n' | deepmind/math_dataset |
b'Simplify (x/x**(1/3))**(3/10) assuming x is positive.\n' | b'x**(1/5)\n' | b'Simplify (x/x**(1/3))**(3/10) assuming x is positive.\n' | b'x**(1/5)\n' | deepmind/math_dataset |
b'What is prob of picking 2 x when two letters picked without replacement from {j: 13, x: 3, e: 1}?\n' | b'3/136\n' | b'What is prob of picking 2 x when two letters picked without replacement from {j: 13, x: 3, e: 1}?\n' | b'3/136\n' | deepmind/math_dataset |
b'Let i = -35 - -41. Let l(s) = -10 + 0*s**3 - s**3 - i*s + 6*s + s. Suppose -4*j - 16 = 5*q, 0*q = -5*q - j - 4. Give l(q).\n' | b'-10\n' | b'Let i = -35 - -41. Let l(s) = -10 + 0*s**3 - s**3 - i*s + 6*s + s. Suppose -4*j - 16 = 5*q, 0*q = -5*q - j - 4. Give l(q).\n' | b'-10\n' | deepmind/math_dataset |
b'Simplify (s/(s**(-14)/s))/(s*s**(2/19)/s*s)*(s/s**(-12))/s**1 assuming s is positive.\n' | b's**(511/19)\n' | b'Simplify (s/(s**(-14)/s))/(s*s**(2/19)/s*s)*(s/s**(-12))/s**1 assuming s is positive.\n' | b's**(511/19)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ff when two letters picked without replacement from {g: 3, h: 1, f: 6, j: 4}.\n' | b'15/91\n' | b'Calculate prob of sequence ff when two letters picked without replacement from {g: 3, h: 1, f: 6, j: 4}.\n' | b'15/91\n' | deepmind/math_dataset |
b'Let t be (-2)/7 - 1140/(-70). Let m be (24/t)/((-3)/(-26)). Differentiate 2*f**4 - 6 + m - 13 wrt f.\n' | b'8*f**3\n' | b'Let t be (-2)/7 - 1140/(-70). Let m be (24/t)/((-3)/(-26)). Differentiate 2*f**4 - 6 + m - 13 wrt f.\n' | b'8*f**3\n' | deepmind/math_dataset |
b'What is prob of sequence lzz when three letters picked without replacement from pzlillzpl?\n' | b'1/63\n' | b'What is prob of sequence lzz when three letters picked without replacement from pzlillzpl?\n' | b'1/63\n' | deepmind/math_dataset |
b'Suppose 2*n = -57 + 119. Suppose -2*r - n = -151. Let p be (-1 - (-1 + 3))*(-60)/r. Solve 5 = 2*a - j + 2*j, 5 = p*a + j for a.\n' | b'0\n' | b'Suppose 2*n = -57 + 119. Suppose -2*r - n = -151. Let p be (-1 - (-1 + 3))*(-60)/r. Solve 5 = 2*a - j + 2*j, 5 = p*a + j for a.\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((((j/(j*j/j**(1/6)*j))/j)/j)/((((j*j**(-2/3))/j*j)/j)/j))/(j**(-5)*j**(3/4)) assuming j is positive.\n' | b'j**(25/12)\n' | b'Simplify ((((j/(j*j/j**(1/6)*j))/j)/j)/((((j*j**(-2/3))/j*j)/j)/j))/(j**(-5)*j**(3/4)) assuming j is positive.\n' | b'j**(25/12)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from mtzmmmtzmmmzzz. What is prob of picking 1 z and 1 m?\n' | b'5/13\n' | b'Two letters picked without replacement from mtzmmmtzmmmzzz. What is prob of picking 1 z and 1 m?\n' | b'5/13\n' | deepmind/math_dataset |
b'Calculate prob of sequence ht when two letters picked without replacement from {t: 1, q: 2, b: 1, s: 2, h: 1, z: 1}.\n' | b'1/56\n' | b'Calculate prob of sequence ht when two letters picked without replacement from {t: 1, q: 2, b: 1, s: 2, h: 1, z: 1}.\n' | b'1/56\n' | deepmind/math_dataset |
b'Simplify (q**(1/4)/(q/(q**(7/6)/q)))**(20/11)*((q/(q/q**(14/9))*q)/q**(1/23))**6 assuming q is positive.\n' | b'q**(3545/253)\n' | b'Simplify (q**(1/4)/(q/(q**(7/6)/q)))**(20/11)*((q/(q/q**(14/9))*q)/q**(1/23))**6 assuming q is positive.\n' | b'q**(3545/253)\n' | deepmind/math_dataset |
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