question stringlengths 40 165 | answer stringlengths 6 35 | instruction_seed stringlengths 40 165 | response_seed stringlengths 6 35 | _source stringclasses 1
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b'Let h(q) = q - 3. Let y be h(6). Let w = y - -1. Solve 4*p = -c + w*c + 16, p + 4*c = -15 for p.\n' | b'1\n' | b'Let h(q) = q - 3. Let y be h(6). Let w = y - -1. Solve 4*p = -c + w*c + 16, p + 4*c = -15 for p.\n' | b'1\n' | deepmind/math_dataset |
b'Let m(u) = -8*u. Let j be m(-1). Let h be (-28)/j*(2 - 6). Let o be ((-1)/(-2))/((-5)/10) + 3. Solve 4*s = -o*d + 18, -d + h = 5*s - 7 for s.\n' | b'4\n' | b'Let m(u) = -8*u. Let j be m(-1). Let h be (-28)/j*(2 - 6). Let o be ((-1)/(-2))/((-5)/10) + 3. Solve 4*s = -o*d + 18, -d + h = 5*s - 7 for s.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 h and 1 e when two letters picked without replacement from edhhedehedhdhe.\n' | b'25/91\n' | b'Calculate prob of picking 1 h and 1 e when two letters picked without replacement from edhhedehedhdhe.\n' | b'25/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {d: 2, e: 2, y: 2, q: 4}. What is prob of picking 1 e and 1 y?\n' | b'4/45\n' | b'Two letters picked without replacement from {d: 2, e: 2, y: 2, q: 4}. What is prob of picking 1 e and 1 y?\n' | b'4/45\n' | deepmind/math_dataset |
b'Suppose 4*i + 13 = -x + 8*i, 2*i - 4 = -2*x. Let m(u) = 10*u**2 - 2*u - 1. Determine m(x).\n' | b'11\n' | b'Suppose 4*i + 13 = -x + 8*i, 2*i - 4 = -2*x. Let m(u) = 10*u**2 - 2*u - 1. Determine m(x).\n' | b'11\n' | deepmind/math_dataset |
b'Suppose 5*t = -i - 10, -2*i - 5*t = -5*i + 50. Let x = i + -6. Solve -b - x*q = 15, -3*b + 2*q + 12 = b for b.\n' | b'1\n' | b'Suppose 5*t = -i - 10, -2*i - 5*t = -5*i + 50. Let x = i + -6. Solve -b - x*q = 15, -3*b + 2*q + 12 = b for b.\n' | b'1\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 w when two letters picked without replacement from {c: 3, w: 11}.\n' | b'55/91\n' | b'Calculate prob of picking 2 w when two letters picked without replacement from {c: 3, w: 11}.\n' | b'55/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {z: 4, i: 16}. What is prob of picking 2 i?\n' | b'12/19\n' | b'Two letters picked without replacement from {z: 4, i: 16}. What is prob of picking 2 i?\n' | b'12/19\n' | deepmind/math_dataset |
b'Simplify (q**(1/5))**(8/13)*q**(-7)/q*q*q**1/q assuming q is positive.\n' | b'q**(-447/65)\n' | b'Simplify (q**(1/5))**(8/13)*q**(-7)/q*q*q**1/q assuming q is positive.\n' | b'q**(-447/65)\n' | deepmind/math_dataset |
b'Let a(w) be the second derivative of 3*w**5/4 - 27*w**2/2 - 6*w. Differentiate a(i) with respect to i.\n' | b'45*i**2\n' | b'Let a(w) be the second derivative of 3*w**5/4 - 27*w**2/2 - 6*w. Differentiate a(i) with respect to i.\n' | b'45*i**2\n' | deepmind/math_dataset |
b'Let w(x) = 3*x**3 - 2*x**2 - 3*x - 2. Suppose -13*v + 24 = -5*v. Let k be ((-1)/v)/(20/120). Give w(k).\n' | b'-28\n' | b'Let w(x) = 3*x**3 - 2*x**2 - 3*x - 2. Suppose -13*v + 24 = -5*v. Let k be ((-1)/v)/(20/120). Give w(k).\n' | b'-28\n' | deepmind/math_dataset |
b'Simplify (((k*k*k/k**5)/(k*k**(-3/8)*k))**(-2/39))**(2/61) assuming k is positive.\n' | b'k**(29/4758)\n' | b'Simplify (((k*k*k/k**5)/(k*k**(-3/8)*k))**(-2/39))**(2/61) assuming k is positive.\n' | b'k**(29/4758)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qcqcqqccrgrcqccr. What is prob of picking 3 c?\n' | b'1/16\n' | b'Three letters picked without replacement from qcqcqqccrgrcqccr. What is prob of picking 3 c?\n' | b'1/16\n' | deepmind/math_dataset |
b'Simplify (((l**0*l)/l*l)/((l*l**(-4/3)*l)/l*l))**(-3/23) assuming l is positive.\n' | b'l**(-1/23)\n' | b'Simplify (((l**0*l)/l*l)/((l*l**(-4/3)*l)/l*l))**(-3/23) assuming l is positive.\n' | b'l**(-1/23)\n' | deepmind/math_dataset |
b'Simplify b/b**(3/10)*b*(b**18*b)/b assuming b is positive.\n' | b'b**(197/10)\n' | b'Simplify b/b**(3/10)*b*(b**18*b)/b assuming b is positive.\n' | b'b**(197/10)\n' | deepmind/math_dataset |
b'Let q(l) = 88*l - 703. Let s be q(8). Let h(y) = -45*y**2 - 1. Determine h(s).\n' | b'-46\n' | b'Let q(l) = 88*l - 703. Let s be q(8). Let h(y) = -45*y**2 - 1. Determine h(s).\n' | b'-46\n' | deepmind/math_dataset |
b'Let a(r) be the third derivative of -r**6/360 + r**5/60 - 7*r**4/8 + 23*r**2. Let w(y) be the second derivative of a(y). Give w(-2).\n' | b'6\n' | b'Let a(r) be the third derivative of -r**6/360 + r**5/60 - 7*r**4/8 + 23*r**2. Let w(y) be the second derivative of a(y). Give w(-2).\n' | b'6\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ngteteeggtt. Give prob of sequence ttt.\n' | b'4/165\n' | b'Three letters picked without replacement from ngteteeggtt. Give prob of sequence ttt.\n' | b'4/165\n' | deepmind/math_dataset |
b'Simplify ((k**(-2/39)/k)/k**(-1)*(k/(k*k/((k*k*k**(2/39)/k)/k)))/(k**(-18)*k))**(2/101) assuming k is positive.\n' | b'k**(32/101)\n' | b'Simplify ((k**(-2/39)/k)/k**(-1)*(k/(k*k/((k*k*k**(2/39)/k)/k)))/(k**(-18)*k))**(2/101) assuming k is positive.\n' | b'k**(32/101)\n' | deepmind/math_dataset |
b'Let d(n) be the third derivative of -n**6/120 - n**5/4 - 11*n**4/6 + n**3/2 - 976*n**2. Give d(-11).\n' | b'3\n' | b'Let d(n) be the third derivative of -n**6/120 - n**5/4 - 11*n**4/6 + n**3/2 - 976*n**2. Give d(-11).\n' | b'3\n' | deepmind/math_dataset |
b'Let x(c) = -c**3 + 14*c**2 - c + 17. Let b be x(14). Solve -4*j + 8 = 0, -b*j + 4*j = -o + 1 for o.\n' | b'-1\n' | b'Let x(c) = -c**3 + 14*c**2 - c + 17. Let b be x(14). Solve -4*j + 8 = 0, -b*j + 4*j = -o + 1 for o.\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (w*w*w*(w*w*w**(1/25))/w)**(19/2)/(w**(-2/23)*w*w/(w*w**(2/15))) assuming w is positive.\n' | b'w**(129721/3450)\n' | b'Simplify (w*w*w*(w*w*w**(1/25))/w)**(19/2)/(w**(-2/23)*w*w/(w*w**(2/15))) assuming w is positive.\n' | b'w**(129721/3450)\n' | deepmind/math_dataset |
b'Let o = 71 - 72. Let t(z) = z**2 + z. Let c(k) = 30*k**2 - 25*k. Let l(h) = o*c(h) - 2*t(h). What is the second derivative of l(y) wrt y?\n' | b'-64\n' | b'Let o = 71 - 72. Let t(z) = z**2 + z. Let c(k) = 30*k**2 - 25*k. Let l(h) = o*c(h) - 2*t(h). What is the second derivative of l(y) wrt y?\n' | b'-64\n' | deepmind/math_dataset |
b'Three letters picked without replacement from jsngbgk. What is prob of picking 1 g, 1 s, and 1 n?\n' | b'2/35\n' | b'Three letters picked without replacement from jsngbgk. What is prob of picking 1 g, 1 s, and 1 n?\n' | b'2/35\n' | deepmind/math_dataset |
b'Suppose 556 = 27*d - 929. Let v(p) = -19 + 5*p + d - 18 - 15. Give v(-5).\n' | b'-22\n' | b'Suppose 556 = 27*d - 929. Let v(p) = -19 + 5*p + d - 18 - 15. Give v(-5).\n' | b'-22\n' | deepmind/math_dataset |
b'Suppose -37*h = 4*w - 33*h + 1836, 1860 = -4*w + 2*h. Let u = w - -468. Solve 0 = -5*k + u*m - 20, 0 = -3*k - 0*k - m - 12 for k.\n' | b'-4\n' | b'Suppose -37*h = 4*w - 33*h + 1836, 1860 = -4*w + 2*h. Let u = w - -468. Solve 0 = -5*k + u*m - 20, 0 = -3*k - 0*k - m - 12 for k.\n' | b'-4\n' | deepmind/math_dataset |
b'Let n(z) be the third derivative of 1/4*z**4 + 0 + 0*z**3 - 6*z**2 + 1/60*z**6 + 0*z**5 + 0*z. Find the second derivative of n(r) wrt r.\n' | b'12*r\n' | b'Let n(z) be the third derivative of 1/4*z**4 + 0 + 0*z**3 - 6*z**2 + 1/60*z**6 + 0*z**5 + 0*z. Find the second derivative of n(r) wrt r.\n' | b'12*r\n' | deepmind/math_dataset |
b'Let q(z) be the third derivative of 0*z - 1/6*z**4 - 7 - 7/6*z**3 - 6*z**2. What is q(7)?\n' | b'-35\n' | b'Let q(z) be the third derivative of 0*z - 1/6*z**4 - 7 - 7/6*z**3 - 6*z**2. What is q(7)?\n' | b'-35\n' | deepmind/math_dataset |
b'Suppose -2 - 7 = 9*o. Let m(i) = 8*i**2. What is m(o)?\n' | b'8\n' | b'Suppose -2 - 7 = 9*o. Let m(i) = 8*i**2. What is m(o)?\n' | b'8\n' | deepmind/math_dataset |
b'Let l(q) = -3*q**3 - 21*q**2 - 20*q + 4. Let k be l(-6). Suppose k*h + 33 = 97. Solve -4*t - 22 = -0*t + 2*f, 0 = -2*t + 2*f + h for t.\n' | b'-3\n' | b'Let l(q) = -3*q**3 - 21*q**2 - 20*q + 4. Let k be l(-6). Suppose k*h + 33 = 97. Solve -4*t - 22 = -0*t + 2*f, 0 = -2*t + 2*f + h for t.\n' | b'-3\n' | deepmind/math_dataset |
b'Let d(n) be the third derivative of -43*n**7/105 - 23*n**5/30 + 14*n**2. Find the third derivative of d(r) wrt r.\n' | b'-2064*r\n' | b'Let d(n) be the third derivative of -43*n**7/105 - 23*n**5/30 + 14*n**2. Find the third derivative of d(r) wrt r.\n' | b'-2064*r\n' | deepmind/math_dataset |
b'Simplify ((c**2/c)/c*c*c**(4/3))/(c**(1/5)/(c**(-3/8)/c))*((c*c**(-1)/c*c*c)**(-3/37))**15 assuming c is positive.\n' | b'c**(-2033/4440)\n' | b'Simplify ((c**2/c)/c*c*c**(4/3))/(c**(1/5)/(c**(-3/8)/c))*((c*c**(-1)/c*c*c)**(-3/37))**15 assuming c is positive.\n' | b'c**(-2033/4440)\n' | deepmind/math_dataset |
b'Let s(p) be the second derivative of -394*p**7/7 - 73*p**4/12 + p**2 - 107*p + 12. Find the third derivative of s(r) wrt r.\n' | b'-141840*r**2\n' | b'Let s(p) be the second derivative of -394*p**7/7 - 73*p**4/12 + p**2 - 107*p + 12. Find the third derivative of s(r) wrt r.\n' | b'-141840*r**2\n' | deepmind/math_dataset |
b'What is prob of picking 1 s and 2 v when three letters picked without replacement from vxllcvsr?\n' | b'1/56\n' | b'What is prob of picking 1 s and 2 v when three letters picked without replacement from vxllcvsr?\n' | b'1/56\n' | deepmind/math_dataset |
b'Suppose -2*v - 2 = -2*i, 2*i - 3*v + 0 = -2. Solve -3*n = 4*p - 26, -n + i*n - 2*p + 2 = 0 for n.\n' | b'2\n' | b'Suppose -2*v - 2 = -2*i, 2*i - 3*v + 0 = -2. Solve -3*n = 4*p - 26, -n + i*n - 2*p + 2 = 0 for n.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence eolu when four letters picked without replacement from {u: 1, o: 2, l: 1, e: 2}.\n' | b'1/90\n' | b'Calculate prob of sequence eolu when four letters picked without replacement from {u: 1, o: 2, l: 1, e: 2}.\n' | b'1/90\n' | deepmind/math_dataset |
b'Simplify ((y*y/y**(3/8))**(-35))**(-43) assuming y is positive.\n' | b'y**(19565/8)\n' | b'Simplify ((y*y/y**(3/8))**(-35))**(-43) assuming y is positive.\n' | b'y**(19565/8)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {p: 3, n: 8}. Give prob of sequence np.\n' | b'12/55\n' | b'Two letters picked without replacement from {p: 3, n: 8}. Give prob of sequence np.\n' | b'12/55\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {r: 4, k: 3, w: 3, o: 6, j: 3}.\n' | b'1/19\n' | b'Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {r: 4, k: 3, w: 3, o: 6, j: 3}.\n' | b'1/19\n' | deepmind/math_dataset |
b'Four letters picked without replacement from uuwuwwuuuuw. Give prob of sequence wuuw.\n' | b'7/110\n' | b'Four letters picked without replacement from uuwuwwuuuuw. Give prob of sequence wuuw.\n' | b'7/110\n' | deepmind/math_dataset |
b'Let o = -1068 - -1074. Let q be 6/(-10)*(-5 - 0). Let f be -1 - -1*27 - (-6 - -5). Solve q*n - o = 0, -5*w - n + f = -0*n for w.\n' | b'5\n' | b'Let o = -1068 - -1074. Let q be 6/(-10)*(-5 - 0). Let f be -1 - -1*27 - (-6 - -5). Solve q*n - o = 0, -5*w - n + f = -0*n for w.\n' | b'5\n' | deepmind/math_dataset |
b'Let z(p) = -2*p**4 - 6*p**3 + p**2 - 6*p + 6. Let n(l) = l**4 + 5*l**3 + 5*l - 5. Let u(y) = 6*n(y) + 5*z(y). What is the third derivative of u(q) wrt q?\n' | b'-96*q\n' | b'Let z(p) = -2*p**4 - 6*p**3 + p**2 - 6*p + 6. Let n(l) = l**4 + 5*l**3 + 5*l - 5. Let u(y) = 6*n(y) + 5*z(y). What is the third derivative of u(q) wrt q?\n' | b'-96*q\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qjqjqjrjrjrjr. What is prob of sequence jrj?\n' | b'10/143\n' | b'Three letters picked without replacement from qjqjqjrjrjrjr. What is prob of sequence jrj?\n' | b'10/143\n' | deepmind/math_dataset |
b'Let j(g) = -2*g**2 + 3*g - 2. Suppose 2*d - 5*d = 0. Suppose -3*k = i - 7*k - 2, 5*i - 2*k + 8 = d. Let t be (6/i - -1) + 4. Give j(t).\n' | b'-4\n' | b'Let j(g) = -2*g**2 + 3*g - 2. Suppose 2*d - 5*d = 0. Suppose -3*k = i - 7*k - 2, 5*i - 2*k + 8 = d. Let t be (6/i - -1) + 4. Give j(t).\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify (p**1*p/(((p*p**(1/4))/p)/p))**(-1/5)/((p*p/(p**0/p)*p)**(-14))**(3/34) assuming p is positive.\n' | b'p**(1493/340)\n' | b'Simplify (p**1*p/(((p*p**(1/4))/p)/p))**(-1/5)/((p*p/(p**0/p)*p)**(-14))**(3/34) assuming p is positive.\n' | b'p**(1493/340)\n' | deepmind/math_dataset |
b'Let z = 24 + -19. Let b be 2/(-6) + (-4)/(-12). Let x = b - -3. Solve -3*d + 4*p = -14, -4*d = -2*p - z + x for d.\n' | b'-2\n' | b'Let z = 24 + -19. Let b be 2/(-6) + (-4)/(-12). Let x = b - -3. Solve -3*d + 4*p = -14, -4*d = -2*p - z + x for d.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y(l) = l - 1. Let x = 1 + -8. Let z = x + 2. Let o = 5 + z. Calculate y(o).\n' | b'-1\n' | b'Let y(l) = l - 1. Let x = 1 + -8. Let z = x + 2. Let o = 5 + z. Calculate y(o).\n' | b'-1\n' | deepmind/math_dataset |
b'Calculate prob of sequence uzjn when four letters picked without replacement from {s: 1, j: 3, z: 5, u: 3, b: 2, n: 1}.\n' | b'1/728\n' | b'Calculate prob of sequence uzjn when four letters picked without replacement from {s: 1, j: 3, z: 5, u: 3, b: 2, n: 1}.\n' | b'1/728\n' | deepmind/math_dataset |
b'Let s be (0 + 34)*3/(-3). Let w = s - -37. Find the first derivative of w + 10*f**4 + 5 + f**4 wrt f.\n' | b'44*f**3\n' | b'Let s be (0 + 34)*3/(-3). Let w = s - -37. Find the first derivative of w + 10*f**4 + 5 + f**4 wrt f.\n' | b'44*f**3\n' | deepmind/math_dataset |
b'Simplify (c**(2/7))**(15/4)/(c**(-1/2))**(-2/13) assuming c is positive.\n' | b'c**(181/182)\n' | b'Simplify (c**(2/7))**(15/4)/(c**(-1/2))**(-2/13) assuming c is positive.\n' | b'c**(181/182)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 6, r: 2}. Give prob of picking 2 r.\n' | b'1/28\n' | b'Two letters picked without replacement from {j: 6, r: 2}. Give prob of picking 2 r.\n' | b'1/28\n' | deepmind/math_dataset |
b'Let z(v) = -2*v - 21. Let t be z(-13). What is the second derivative of -15*r**2 + 5*r - 4*r + t*r**2 - 4*r + 7 wrt r?\n' | b'-20\n' | b'Let z(v) = -2*v - 21. Let t be z(-13). What is the second derivative of -15*r**2 + 5*r - 4*r + t*r**2 - 4*r + 7 wrt r?\n' | b'-20\n' | deepmind/math_dataset |
b'Three letters picked without replacement from njnhjnjnnjnnjnnnjj. Give prob of picking 2 n and 1 h.\n' | b'15/272\n' | b'Three letters picked without replacement from njnhjnjnnjnnjnnnjj. Give prob of picking 2 n and 1 h.\n' | b'15/272\n' | deepmind/math_dataset |
b'Let m be 14/(-28)*(-326)/1. Differentiate 3*l + l - m + 172 with respect to l.\n' | b'4\n' | b'Let m be 14/(-28)*(-326)/1. Differentiate 3*l + l - m + 172 with respect to l.\n' | b'4\n' | deepmind/math_dataset |
b'Suppose x = -x + 4. Suppose -4*k - 8 = 4, -x*s + 2*k + 12 = 0. Let f(m) = s*m + 4 - 2*m + 3. Calculate f(-5).\n' | b'2\n' | b'Suppose x = -x + 4. Suppose -4*k - 8 = 4, -x*s + 2*k + 12 = 0. Let f(m) = s*m + 4 - 2*m + 3. Calculate f(-5).\n' | b'2\n' | deepmind/math_dataset |
b'Let a(s) be the first derivative of s**5/20 - s**4/6 - 2*s**2 - 5. Let j(p) be the second derivative of a(p). Find the second derivative of j(q) wrt q.\n' | b'6\n' | b'Let a(s) be the first derivative of s**5/20 - s**4/6 - 2*s**2 - 5. Let j(p) be the second derivative of a(p). Find the second derivative of j(q) wrt q.\n' | b'6\n' | deepmind/math_dataset |
b'Let q(b) = -b**2 - 7*b - 4. Suppose 0 = u - m - 1, 5*u - 20 = -5*m - 5. Suppose -521 = u*x - 513. Calculate q(x).\n' | b'8\n' | b'Let q(b) = -b**2 - 7*b - 4. Suppose 0 = u - m - 1, 5*u - 20 = -5*m - 5. Suppose -521 = u*x - 513. Calculate q(x).\n' | b'8\n' | deepmind/math_dataset |
b'Simplify (r*r*r*r**2*r*r*r*r*r**(-5)*r)/(r/r**2*r/r**6) assuming r is positive.\n' | b'r**11\n' | b'Simplify (r*r*r*r**2*r*r*r*r*r**(-5)*r)/(r/r**2*r/r**6) assuming r is positive.\n' | b'r**11\n' | deepmind/math_dataset |
b'Let p be (-2)/5 - (-10)/25. Let k(b) = 4 + 4*b + p - 2 + 2. Give k(-3).\n' | b'-8\n' | b'Let p be (-2)/5 - (-10)/25. Let k(b) = 4 + 4*b + p - 2 + 2. Give k(-3).\n' | b'-8\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z and 1 n when three letters picked without replacement from znzzznnznz.\n' | b'1/2\n' | b'Calculate prob of picking 2 z and 1 n when three letters picked without replacement from znzzznnznz.\n' | b'1/2\n' | deepmind/math_dataset |
b'What is prob of sequence kg when two letters picked without replacement from {g: 4, k: 3, m: 2, r: 1, h: 6}?\n' | b'1/20\n' | b'What is prob of sequence kg when two letters picked without replacement from {g: 4, k: 3, m: 2, r: 1, h: 6}?\n' | b'1/20\n' | deepmind/math_dataset |
b'Simplify i/i**(-5)*i*i**9*i assuming i is positive.\n' | b'i**17\n' | b'Simplify i/i**(-5)*i*i**9*i assuming i is positive.\n' | b'i**17\n' | deepmind/math_dataset |
b'Three letters picked without replacement from ggggggg. Give prob of picking 3 g.\n' | b'1\n' | b'Three letters picked without replacement from ggggggg. Give prob of picking 3 g.\n' | b'1\n' | deepmind/math_dataset |
b'Let n(z) be the second derivative of 38*z + 7/6*z**3 + 0*z**2 - 1/12*z**4 + 0*z**5 + 191/30*z**6 + 0. Find the third derivative of n(o) wrt o.\n' | b'4584*o\n' | b'Let n(z) be the second derivative of 38*z + 7/6*z**3 + 0*z**2 - 1/12*z**4 + 0*z**5 + 191/30*z**6 + 0. Find the third derivative of n(o) wrt o.\n' | b'4584*o\n' | deepmind/math_dataset |
b'Simplify (f**(-1/2)*f*f/f**(-3/11))**(-1/48)/(((f/(f*f**(-3/11)*f))/f)/(((f**(-1/4)*f)/f)/f*f*f))**(-21/5) assuming f is positive.\n' | b'f**(-18377/1760)\n' | b'Simplify (f**(-1/2)*f*f/f**(-3/11))**(-1/48)/(((f/(f*f**(-3/11)*f))/f)/(((f**(-1/4)*f)/f)/f*f*f))**(-21/5) assuming f is positive.\n' | b'f**(-18377/1760)\n' | deepmind/math_dataset |
b'Let f(t) = -2 + 4*t - 1045*t**2 - 1049*t**2 + 2098*t**2 - 2*t**3 + t**3. Give f(4).\n' | b'14\n' | b'Let f(t) = -2 + 4*t - 1045*t**2 - 1049*t**2 + 2098*t**2 - 2*t**3 + t**3. Give f(4).\n' | b'14\n' | deepmind/math_dataset |
b'Let w(r) = 11*r + 1. Let q be w(1). Let t be (-172)/(-22) - q/(-66). Solve 0*l - 3*l - t = x, 3*x - 3 = 0 for l.\n' | b'-3\n' | b'Let w(r) = 11*r + 1. Let q be w(1). Let t be (-172)/(-22) - q/(-66). Solve 0*l - 3*l - t = x, 3*x - 3 = 0 for l.\n' | b'-3\n' | deepmind/math_dataset |
b'What is the derivative of 61 + 13*i**4 + i**3 - 94 + 14*i**4 wrt i?\n' | b'108*i**3 + 3*i**2\n' | b'What is the derivative of 61 + 13*i**4 + i**3 - 94 + 14*i**4 wrt i?\n' | b'108*i**3 + 3*i**2\n' | deepmind/math_dataset |
b'Simplify ((((j/(j/((j*j*j**(-1/5))/j)))/((j/(j**3*j))/j))/(j/j**1*j*j*((j/(j**(2/11)*j))/j)/j))**(-9))**(-33) assuming j is positive.\n' | b'j**(7398/5)\n' | b'Simplify ((((j/(j/((j*j*j**(-1/5))/j)))/((j/(j**3*j))/j))/(j/j**1*j*j*((j/(j**(2/11)*j))/j)/j))**(-9))**(-33) assuming j is positive.\n' | b'j**(7398/5)\n' | deepmind/math_dataset |
b'Simplify ((v**(2/5))**27*(v*v/v**(-1)*v)**(-14))/((v**(-1/2)*v*v/(v/((v*v**(5/4)/v*v)/v)*v*v))/((v/(v/(v/(v*v**(-3)))))/(v**8*v))) assuming v is positive.\n' | b'v**(-1019/20)\n' | b'Simplify ((v**(2/5))**27*(v*v/v**(-1)*v)**(-14))/((v**(-1/2)*v*v/(v/((v*v**(5/4)/v*v)/v)*v*v))/((v/(v/(v/(v*v**(-3)))))/(v**8*v))) assuming v is positive.\n' | b'v**(-1019/20)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 p when three letters picked without replacement from xpxfxxfppxppffpxp.\n' | b'7/136\n' | b'Calculate prob of picking 3 p when three letters picked without replacement from xpxfxxfppxppffpxp.\n' | b'7/136\n' | deepmind/math_dataset |
b'Let x be (-6)/15 - (-12)/5. What is the second derivative of -2*z**x - 3*z**2 + 4*z - 3*z wrt z?\n' | b'-10\n' | b'Let x be (-6)/15 - (-12)/5. What is the second derivative of -2*z**x - 3*z**2 + 4*z - 3*z wrt z?\n' | b'-10\n' | deepmind/math_dataset |
b'Calculate prob of sequence jaj when three letters picked without replacement from {a: 1, j: 18}.\n' | b'1/19\n' | b'Calculate prob of sequence jaj when three letters picked without replacement from {a: 1, j: 18}.\n' | b'1/19\n' | deepmind/math_dataset |
b'Simplify ((c**(-1/4)/(c**(-3)/c))**24)**(-10) assuming c is positive.\n' | b'c**(-900)\n' | b'Simplify ((c**(-1/4)/(c**(-3)/c))**24)**(-10) assuming c is positive.\n' | b'c**(-900)\n' | deepmind/math_dataset |
b'Let g(k) = -4*k - 18. Let h(c) = c - 24. Let a be h(19). What is g(a)?\n' | b'2\n' | b'Let g(k) = -4*k - 18. Let h(c) = c - 24. Let a be h(19). What is g(a)?\n' | b'2\n' | deepmind/math_dataset |
b'Let v(f) = 7*f. Let x be v(5). Suppose -14 - 21 = -5*s + 3*p, 3*p = -5*s + 5. Solve 0 = 2*q - t - 11, -s*q + 5*t + 2 = -x for q.\n' | b'3\n' | b'Let v(f) = 7*f. Let x be v(5). Suppose -14 - 21 = -5*s + 3*p, 3*p = -5*s + 5. Solve 0 = 2*q - t - 11, -s*q + 5*t + 2 = -x for q.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify w*w**18*(w/(w/(w/(w*w/(w*w/(w/(w*w**0)))*w))))/w*w assuming w is positive.\n' | b'w**19\n' | b'Simplify w*w**18*(w/(w/(w/(w*w/(w*w/(w/(w*w**0)))*w))))/w*w assuming w is positive.\n' | b'w**19\n' | deepmind/math_dataset |
b'Three letters picked without replacement from gkgggppppkpkpgkf. Give prob of picking 1 p, 1 k, and 1 g.\n' | b'3/14\n' | b'Three letters picked without replacement from gkgggppppkpkpgkf. Give prob of picking 1 p, 1 k, and 1 g.\n' | b'3/14\n' | deepmind/math_dataset |
b'What is prob of sequence iu when two letters picked without replacement from guugugugui?\n' | b'1/18\n' | b'What is prob of sequence iu when two letters picked without replacement from guugugugui?\n' | b'1/18\n' | deepmind/math_dataset |
b'Simplify c**(-2/19)*c*c**(-9) assuming c is positive.\n' | b'c**(-154/19)\n' | b'Simplify c**(-2/19)*c*c**(-9) assuming c is positive.\n' | b'c**(-154/19)\n' | deepmind/math_dataset |
b'Let q(z) = -z**3 - z**2 + z + 5. Let j(p) = -p + 5. Let n be j(3). Let x(t) = t**3 - 5*t**2 - 5*t - 6. Let b be x(6). Suppose b*g = -n*g. What is q(g)?\n' | b'5\n' | b'Let q(z) = -z**3 - z**2 + z + 5. Let j(p) = -p + 5. Let n be j(3). Let x(t) = t**3 - 5*t**2 - 5*t - 6. Let b be x(6). Suppose b*g = -n*g. What is q(g)?\n' | b'5\n' | deepmind/math_dataset |
b'Let w(j) be the second derivative of -613*j**5/2 - j**4/6 + 209*j**3/6 + j**2 - j + 498. Find the third derivative of w(t) wrt t.\n' | b'-36780\n' | b'Let w(j) be the second derivative of -613*j**5/2 - j**4/6 + 209*j**3/6 + j**2 - j + 498. Find the third derivative of w(t) wrt t.\n' | b'-36780\n' | deepmind/math_dataset |
b'Simplify v**15*((v**(2/17)*v)/v)/v assuming v is positive.\n' | b'v**(240/17)\n' | b'Simplify v**15*((v**(2/17)*v)/v)/v assuming v is positive.\n' | b'v**(240/17)\n' | deepmind/math_dataset |
b'Calculate prob of sequence csc when three letters picked without replacement from sschcsschscsccc.\n' | b'6/65\n' | b'Calculate prob of sequence csc when three letters picked without replacement from sschcsschscsccc.\n' | b'6/65\n' | deepmind/math_dataset |
b'What is prob of sequence axax when four letters picked without replacement from {v: 2, a: 5, x: 4}?\n' | b'1/33\n' | b'What is prob of sequence axax when four letters picked without replacement from {v: 2, a: 5, x: 4}?\n' | b'1/33\n' | deepmind/math_dataset |
b'Calculate prob of sequence lldx when four letters picked without replacement from {f: 6, j: 1, l: 7, d: 3, x: 2}.\n' | b'7/2584\n' | b'Calculate prob of sequence lldx when four letters picked without replacement from {f: 6, j: 1, l: 7, d: 3, x: 2}.\n' | b'7/2584\n' | deepmind/math_dataset |
b'Let c(l) be the second derivative of l**7/7 - 5*l**3/3 - 6*l. What is the second derivative of c(u) wrt u?\n' | b'120*u**3\n' | b'Let c(l) be the second derivative of l**7/7 - 5*l**3/3 - 6*l. What is the second derivative of c(u) wrt u?\n' | b'120*u**3\n' | deepmind/math_dataset |
b'Let a be 3/(-3)*1*-25. Let j be a/5 - (-2)/(-2). Differentiate -j*u**2 - 18*u + 4 + 0*u**2 + 18*u with respect to u.\n' | b'-8*u\n' | b'Let a be 3/(-3)*1*-25. Let j be a/5 - (-2)/(-2). Differentiate -j*u**2 - 18*u + 4 + 0*u**2 + 18*u with respect to u.\n' | b'-8*u\n' | deepmind/math_dataset |
b'Simplify ((d**(-1/2))**48/((d*d**(-1/3)*d)/(d*d**(-10))))**(6/19) assuming d is positive.\n' | b'd**(-208/19)\n' | b'Simplify ((d**(-1/2))**48/((d*d**(-1/3)*d)/(d*d**(-10))))**(6/19) assuming d is positive.\n' | b'd**(-208/19)\n' | deepmind/math_dataset |
b'Suppose -4*i - 6*r + r = -923, 2*i = 4*r + 442. Suppose -5*x = g - 56, 4*g + 72 = 3*x + i. Suppose g = -2*f + 47. Solve n = -2*p + 3*n, -f*n - 2 = -2*p for p.\n' | b'-2\n' | b'Suppose -4*i - 6*r + r = -923, 2*i = 4*r + 442. Suppose -5*x = g - 56, 4*g + 72 = 3*x + i. Suppose g = -2*f + 47. Solve n = -2*p + 3*n, -f*n - 2 = -2*p for p.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify ((((r**(2/3))**(-7/4))**(-41))**(7/4))**(-12) assuming r is positive.\n' | b'r**(-2009/2)\n' | b'Simplify ((((r**(2/3))**(-7/4))**(-41))**(7/4))**(-12) assuming r is positive.\n' | b'r**(-2009/2)\n' | deepmind/math_dataset |
b'Let z(m) = -8*m**3 - m**2 + m - 3. Let i(r) = -15*r**3 - 2*r**2 + 2*r - 5. Let p(l) = 4*i(l) - 7*z(l). Give p(-1).\n' | b'3\n' | b'Let z(m) = -8*m**3 - m**2 + m - 3. Let i(r) = -15*r**3 - 2*r**2 + 2*r - 5. Let p(l) = 4*i(l) - 7*z(l). Give p(-1).\n' | b'3\n' | deepmind/math_dataset |
b'Suppose h = 3*o + 3, -h - o - 3*o + 3 = 0. Solve -c + 4 = -h*k, 2*c + k - 8 = -3*k for c.\n' | b'4\n' | b'Suppose h = 3*o + 3, -h - o - 3*o + 3 = 0. Solve -c + 4 = -h*k, 2*c + k - 8 = -3*k for c.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of picking 1 c and 1 h when two letters picked without replacement from httujutcuccuhcuuu?\n' | b'1/17\n' | b'What is prob of picking 1 c and 1 h when two letters picked without replacement from httujutcuccuhcuuu?\n' | b'1/17\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {p: 2, i: 9, q: 2, f: 2, k: 2}.\n' | b'1/34\n' | b'Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {p: 2, i: 9, q: 2, f: 2, k: 2}.\n' | b'1/34\n' | deepmind/math_dataset |
b'Let w(f) be the second derivative of f**5/20 + f**4/2 - f**3/6 - 3*f**2/2 + f. Determine w(-6).\n' | b'3\n' | b'Let w(f) be the second derivative of f**5/20 + f**4/2 - f**3/6 - 3*f**2/2 + f. Determine w(-6).\n' | b'3\n' | deepmind/math_dataset |
b'Let l be 4 + 0*(3 + -2). Let o(i) = -i**2 + 4*i. Let w be o(3). Solve 0 = -w*d + 3*k - 15, 0 = -5*d - 4*k + 16 + l for d.\n' | b'0\n' | b'Let l be 4 + 0*(3 + -2). Let o(i) = -i**2 + 4*i. Let w be o(3). Solve 0 = -w*d + 3*k - 15, 0 = -5*d - 4*k + 16 + l for d.\n' | b'0\n' | deepmind/math_dataset |
b'Let h = -1504 + 1508. Let i be (1 + 0)/((-11)/(-44)). Let z = 9 - i. Solve -2*d - 6 = -2*q - h*d, z*d - 21 = -2*q for q.\n' | b'-2\n' | b'Let h = -1504 + 1508. Let i be (1 + 0)/((-11)/(-44)). Let z = 9 - i. Solve -2*d - 6 = -2*q - h*d, z*d - 21 = -2*q for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Let y = 48 - 34. Let o be 54/15 + ((-2)/5)/(-1). Solve -4 = o*l, 3*m - l + y = -2*m for m.\n' | b'-3\n' | b'Let y = 48 - 34. Let o be 54/15 + ((-2)/5)/(-1). Solve -4 = o*l, 3*m - l + y = -2*m for m.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (d/(d/d**(-1)))**15/(d**(4/3)*d**(3/4)) assuming d is positive.\n' | b'd**(-205/12)\n' | b'Simplify (d/(d/d**(-1)))**15/(d**(4/3)*d**(3/4)) assuming d is positive.\n' | b'd**(-205/12)\n' | deepmind/math_dataset |
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