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 (m**(2/47)/(((m**(-6/5)/m)/m*m)/m))**17 assuming m is positive.\n' | b'm**(12954/235)\n' | b'Simplify (m**(2/47)/(((m**(-6/5)/m)/m*m)/m))**17 assuming m is positive.\n' | b'm**(12954/235)\n' | deepmind/math_dataset |
b'Suppose -2 - 34 = -4*z. Let j = 6 - z. Let s be (-8)/24 - 52/j. Solve 2 + 7 = 3*a + 3*l, -a + 3*l = s for a.\n' | b'-2\n' | b'Suppose -2 - 34 = -4*z. Let j = 6 - z. Let s be (-8)/24 - 52/j. Solve 2 + 7 = 3*a + 3*l, -a + 3*l = s for a.\n' | b'-2\n' | deepmind/math_dataset |
b'Let s(j) = -5117*j**2 + j + 1868. Let g(c) = 108*c**2 + c. Let y(u) = -g(u) + s(u). What is the first derivative of y(d) wrt d?\n' | b'-10450*d\n' | b'Let s(j) = -5117*j**2 + j + 1868. Let g(c) = 108*c**2 + c. Let y(u) = -g(u) + s(u). What is the first derivative of y(d) wrt d?\n' | b'-10450*d\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 2 c when three letters picked without replacement from bzzbcxczcczcbczb?\n' | b'15/112\n' | b'What is prob of picking 1 z and 2 c when three letters picked without replacement from bzzbcxczcczcbczb?\n' | b'15/112\n' | deepmind/math_dataset |
b'Calculate prob of sequence tbm when three letters picked without replacement from bmlmdtm.\n' | b'1/70\n' | b'Calculate prob of sequence tbm when three letters picked without replacement from bmlmdtm.\n' | b'1/70\n' | deepmind/math_dataset |
b'Let i(q) be the first derivative of q**8/84 + q**5/12 + q**2 - 4. Let z(l) be the second derivative of i(l). What is the third derivative of z(j) wrt j?\n' | b'240*j**2\n' | b'Let i(q) be the first derivative of q**8/84 + q**5/12 + q**2 - 4. Let z(l) be the second derivative of i(l). What is the third derivative of z(j) wrt j?\n' | b'240*j**2\n' | deepmind/math_dataset |
b'Simplify (z*z/(z*z**(2/35)/z))**(2/13)*(z**(-5/11))**(2/7) assuming z is positive.\n' | b'z**(846/5005)\n' | b'Simplify (z*z/(z*z**(2/35)/z))**(2/13)*(z**(-5/11))**(2/7) assuming z is positive.\n' | b'z**(846/5005)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {e: 2, l: 1, c: 2, h: 2, g: 5, r: 1}. What is prob of sequence he?\n' | b'1/39\n' | b'Two letters picked without replacement from {e: 2, l: 1, c: 2, h: 2, g: 5, r: 1}. What is prob of sequence he?\n' | b'1/39\n' | deepmind/math_dataset |
b'Let s(d) be the third derivative of -d**4/24 + d**3/3 + 13*d**2. Determine s(-2).\n' | b'4\n' | b'Let s(d) be the third derivative of -d**4/24 + d**3/3 + 13*d**2. Determine s(-2).\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 d and 1 y when three letters picked without replacement from ddbyb.\n' | b'1/10\n' | b'Calculate prob of picking 2 d and 1 y when three letters picked without replacement from ddbyb.\n' | b'1/10\n' | deepmind/math_dataset |
b'What is prob of sequence gd when two letters picked without replacement from gzd?\n' | b'1/6\n' | b'What is prob of sequence gd when two letters picked without replacement from gzd?\n' | b'1/6\n' | deepmind/math_dataset |
b'Simplify (c*c**(-1)*c)**35 assuming c is positive.\n' | b'c**35\n' | b'Simplify (c*c**(-1)*c)**35 assuming c is positive.\n' | b'c**35\n' | deepmind/math_dataset |
b'Simplify x/((x/(x**14*x)*x)/x)*x**(-5/2)*x/((x**(-10)/x)/x)*x/(x/x**18) assuming x is positive.\n' | b'x**(87/2)\n' | b'Simplify x/((x/(x**14*x)*x)/x)*x**(-5/2)*x/((x**(-10)/x)/x)*x/(x/x**18) assuming x is positive.\n' | b'x**(87/2)\n' | deepmind/math_dataset |
b'Simplify ((((r*r*r*r*r**(-1/2))/r*r**4)/(r*r**(-2/11)*r*r*r*r**(-12)))**(2/23))**(1/19) assuming r is positive.\n' | b'r**(17/253)\n' | b'Simplify ((((r*r*r*r*r**(-1/2))/r*r**4)/(r*r**(-2/11)*r*r*r*r**(-12)))**(2/23))**(1/19) assuming r is positive.\n' | b'r**(17/253)\n' | deepmind/math_dataset |
b'Suppose 0*d + 6 = 3*d. Suppose 2*f = 5*h + 23, -2*f - h - 1 = d*h. Let w(p) = -p**2 + p + 4. Determine w(f).\n' | b'-8\n' | b'Suppose 0*d + 6 = 3*d. Suppose 2*f = 5*h + 23, -2*f - h - 1 = d*h. Let w(p) = -p**2 + p + 4. Determine w(f).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of sequence hzv when three letters picked without replacement from ehveevhezezhzee?\n' | b'3/455\n' | b'What is prob of sequence hzv when three letters picked without replacement from ehveevhezezhzee?\n' | b'3/455\n' | deepmind/math_dataset |
b'Suppose 2*f - 21 = -3*r - 12, 2*f + 5*r = 11. Suppose 28 = u - 5*p, -22 + f = -3*u + 2*p. Solve -l - 4 = u*w - 1, 0 = w + l + 3 for w.\n' | b'0\n' | b'Suppose 2*f - 21 = -3*r - 12, 2*f + 5*r = 11. Suppose 28 = u - 5*p, -22 + f = -3*u + 2*p. Solve -l - 4 = u*w - 1, 0 = w + l + 3 for w.\n' | b'0\n' | deepmind/math_dataset |
b'Let c(d) be the third derivative of 121*d**7/42 - 253*d**5/30 + 351*d**2. Find the third derivative of c(r) wrt r.\n' | b'14520*r\n' | b'Let c(d) be the third derivative of 121*d**7/42 - 253*d**5/30 + 351*d**2. Find the third derivative of c(r) wrt r.\n' | b'14520*r\n' | deepmind/math_dataset |
b'Simplify (p**(2/27)/p)/(p*p*p**2)*(p/p**(3/2))**(-10) assuming p is positive.\n' | b'p**(2/27)\n' | b'Simplify (p**(2/27)/p)/(p*p*p**2)*(p/p**(3/2))**(-10) assuming p is positive.\n' | b'p**(2/27)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from skoqv. What is prob of picking 1 s and 1 v?\n' | b'1/10\n' | b'Two letters picked without replacement from skoqv. What is prob of picking 1 s and 1 v?\n' | b'1/10\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {j: 1, m: 1, d: 5, r: 2, c: 1, a: 3}. Give prob of sequence dr.\n' | b'5/78\n' | b'Two letters picked without replacement from {j: 1, m: 1, d: 5, r: 2, c: 1, a: 3}. Give prob of sequence dr.\n' | b'5/78\n' | deepmind/math_dataset |
b'Let d be 2*((-40)/(-20))/(8/14). Solve f = -b - 9, -5*b - 36 + d = f for f.\n' | b'-4\n' | b'Let d be 2*((-40)/(-20))/(8/14). Solve f = -b - 9, -5*b - 36 + d = f for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Let r = 9 - 5. Suppose 0 = -2*a + r*a - 10. What is the third derivative of -v**2 + a*v**2 + 2*v + 4*v**3 - 2*v wrt v?\n' | b'24\n' | b'Let r = 9 - 5. Suppose 0 = -2*a + r*a - 10. What is the third derivative of -v**2 + a*v**2 + 2*v + 4*v**3 - 2*v wrt v?\n' | b'24\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 1 l when two letters picked without replacement from {l: 3, q: 2, i: 3}?\n' | b'3/14\n' | b'What is prob of picking 1 q and 1 l when two letters picked without replacement from {l: 3, q: 2, i: 3}?\n' | b'3/14\n' | deepmind/math_dataset |
b'Simplify v**(4/3)/v**0 assuming v is positive.\n' | b'v**(4/3)\n' | b'Simplify v**(4/3)/v**0 assuming v is positive.\n' | b'v**(4/3)\n' | deepmind/math_dataset |
b'Simplify (z/z**(-1/3))/((z/(z/((z*z**(-5/7))/z)))/z) assuming z is positive.\n' | b'z**(64/21)\n' | b'Simplify (z/z**(-1/3))/((z/(z/((z*z**(-5/7))/z)))/z) assuming z is positive.\n' | b'z**(64/21)\n' | deepmind/math_dataset |
b'Suppose 0 = 22*k - 33*k. Solve 2*q + 3*h = k, -9 = 5*q - 0*h + 3*h for q.\n' | b'-3\n' | b'Suppose 0 = 22*k - 33*k. Solve 2*q + 3*h = k, -9 = 5*q - 0*h + 3*h for q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let x(q) be the third derivative of -73/6*q**3 + 0 + 0*q**5 + 1/42*q**7 + 87*q**2 + 0*q - 7/60*q**6 - 1/12*q**4. Find the second derivative of x(z) wrt z.\n' | b'60*z**2 - 84*z\n' | b'Let x(q) be the third derivative of -73/6*q**3 + 0 + 0*q**5 + 1/42*q**7 + 87*q**2 + 0*q - 7/60*q**6 - 1/12*q**4. Find the second derivative of x(z) wrt z.\n' | b'60*z**2 - 84*z\n' | deepmind/math_dataset |
b'Let s be (-147)/(-30) + (-4)/(-40). Let y(f) = f + 8. Let v be y(s). Solve -4*j + v = -5*k, 2*j + 2 + 4 = 0 for k.\n' | b'-5\n' | b'Let s be (-147)/(-30) + (-4)/(-40). Let y(f) = f + 8. Let v be y(s). Solve -4*j + v = -5*k, 2*j + 2 + 4 = 0 for k.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (z**(1/2)/(z**(1/5)*z))/((z*z**1)/z*z)**50*z**(1/5)*z**0*z*z**(-3)/z**(1/4) assuming z is positive.\n' | b'z**(-411/4)\n' | b'Simplify (z**(1/2)/(z**(1/5)*z))/((z*z**1)/z*z)**50*z**(1/5)*z**0*z*z**(-3)/z**(1/4) assuming z is positive.\n' | b'z**(-411/4)\n' | deepmind/math_dataset |
b'Suppose -3*a - 5*k = -2*k - 12, 0 = 5*a - k + 4. Suppose -n = -4 - a. Solve -n*i - i = -3*m + 12, -5*m + 20 = i for m.\n' | b'4\n' | b'Suppose -3*a - 5*k = -2*k - 12, 0 = 5*a - k + 4. Suppose -n = -4 - a. Solve -n*i - i = -3*m + 12, -5*m + 20 = i for m.\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((o**(-16))**(-32)*(o*o*o**(1/4))**(-3/2))**(-43) assuming o is positive.\n' | b'o**(-174967/8)\n' | b'Simplify ((o**(-16))**(-32)*(o*o*o**(1/4))**(-3/2))**(-43) assuming o is positive.\n' | b'o**(-174967/8)\n' | deepmind/math_dataset |
b'Calculate prob of sequence ff when two letters picked without replacement from {f: 2, a: 10}.\n' | b'1/66\n' | b'Calculate prob of sequence ff when two letters picked without replacement from {f: 2, a: 10}.\n' | b'1/66\n' | deepmind/math_dataset |
b'Suppose 0 = -5*c - 4*l + 61, -5*l - 16 = -6*c + 2*c. Let k(m) = -c*m + m**3 + 0 + 10*m - 3*m**2 - 1 - 2*m**2. Determine k(5).\n' | b'4\n' | b'Suppose 0 = -5*c - 4*l + 61, -5*l - 16 = -6*c + 2*c. Let k(m) = -c*m + m**3 + 0 + 10*m - 3*m**2 - 1 - 2*m**2. Determine k(5).\n' | b'4\n' | deepmind/math_dataset |
b'Simplify ((c*c**(-1/2))**(1/5))**34 assuming c is positive.\n' | b'c**(17/5)\n' | b'Simplify ((c*c**(-1/2))**(1/5))**34 assuming c is positive.\n' | b'c**(17/5)\n' | deepmind/math_dataset |
b'Let b(d) be the first derivative of 33*d**5/5 + 53*d**2/2 + 58. What is the second derivative of b(g) wrt g?\n' | b'396*g**2\n' | b'Let b(d) be the first derivative of 33*d**5/5 + 53*d**2/2 + 58. What is the second derivative of b(g) wrt g?\n' | b'396*g**2\n' | deepmind/math_dataset |
b'Let b be 1232/24 - (-2)/3. Suppose o - 63 = -b. Suppose -o*m + 4 = -9*m. Solve -2*c = 5*u - m, -u - 2*c - c + 3 = 0 for u.\n' | b'0\n' | b'Let b be 1232/24 - (-2)/3. Suppose o - 63 = -b. Suppose -o*m + 4 = -9*m. Solve -2*c = 5*u - m, -u - 2*c - c + 3 = 0 for u.\n' | b'0\n' | deepmind/math_dataset |
b'Let t(d) = d**3 - 3*d**2 + 2*d + 2. Let m = -14 + 21. Suppose m*u = 2*u - 110. Let k = -19 - u. Give t(k).\n' | b'8\n' | b'Let t(d) = d**3 - 3*d**2 + 2*d + 2. Let m = -14 + 21. Suppose m*u = 2*u - 110. Let k = -19 - u. Give t(k).\n' | b'8\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 3, v: 11}. What is prob of sequence hv?\n' | b'33/182\n' | b'Two letters picked without replacement from {h: 3, v: 11}. What is prob of sequence hv?\n' | b'33/182\n' | deepmind/math_dataset |
b'What is the third derivative of -1122*v + 4*v**2 + 1122*v + 19*v**4 wrt v?\n' | b'456*v\n' | b'What is the third derivative of -1122*v + 4*v**2 + 1122*v + 19*v**4 wrt v?\n' | b'456*v\n' | deepmind/math_dataset |
b'Let g be 6/12 - 4/(-8). Suppose -f = s - g - 4, 2*f - 6 = 2*s. Solve -p - 2*p = -f*a + 2, -3*p - 4 = -5*a for p.\n' | b'2\n' | b'Let g be 6/12 - 4/(-8). Suppose -f = s - g - 4, 2*f - 6 = 2*s. Solve -p - 2*p = -f*a + 2, -3*p - 4 = -5*a for p.\n' | b'2\n' | deepmind/math_dataset |
b'Let p = 28 + -28. Let v(w) = -w**2 + 2*w + 4. Suppose 5*l = l. Let x be v(l). Solve -2*i = -k - 4*k - 25, -2*i - 2*k + x = p for i.\n' | b'5\n' | b'Let p = 28 + -28. Let v(w) = -w**2 + 2*w + 4. Suppose 5*l = l. Let x be v(l). Solve -2*i = -k - 4*k - 25, -2*i - 2*k + x = p for i.\n' | b'5\n' | deepmind/math_dataset |
b'Let z(h) = h**3 + 8*h**2 + 8*h + 10. Let c = -6 + -1. Calculate z(c).\n' | b'3\n' | b'Let z(h) = h**3 + 8*h**2 + 8*h + 10. Let c = -6 + -1. Calculate z(c).\n' | b'3\n' | deepmind/math_dataset |
b'Let x(t) be the third derivative of -47*t**6/180 + 8*t**4/3 - 6*t**3 + 42*t**2. Let n(m) be the first derivative of x(m). Differentiate n(j) with respect to j.\n' | b'-188*j\n' | b'Let x(t) be the third derivative of -47*t**6/180 + 8*t**4/3 - 6*t**3 + 42*t**2. Let n(m) be the first derivative of x(m). Differentiate n(j) with respect to j.\n' | b'-188*j\n' | deepmind/math_dataset |
b'Let d(t) = 4 + 3 - 3 - t**2 - 8*t. Let r be d(-8). Suppose 0 = 2*h - r*b, -2*b = 3*h + b - 9. Solve -5*z + 2*k = -2*k, h*z = k + 3 for z.\n' | b'4\n' | b'Let d(t) = 4 + 3 - 3 - t**2 - 8*t. Let r be d(-8). Suppose 0 = 2*h - r*b, -2*b = 3*h + b - 9. Solve -5*z + 2*k = -2*k, h*z = k + 3 for z.\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from cfsfsgscfslcsgff. What is prob of sequence fc?\n' | b'1/16\n' | b'Two letters picked without replacement from cfsfsgscfslcsgff. What is prob of sequence fc?\n' | b'1/16\n' | deepmind/math_dataset |
b'Let n(l) be the second derivative of l**4/12 - 5*l**3/6 + 3*l**2/2 - 99*l. Let q be n(1). Let m(j) = -5 - 3 + 7 + 5*j. Calculate m(q).\n' | b'-6\n' | b'Let n(l) be the second derivative of l**4/12 - 5*l**3/6 + 3*l**2/2 - 99*l. Let q be n(1). Let m(j) = -5 - 3 + 7 + 5*j. Calculate m(q).\n' | b'-6\n' | deepmind/math_dataset |
b'Let o(s) = s**3 - 2*s**2 - 3*s - 3. Suppose 0 = 6*a + 5*a + 33. Let t(j) = j**3 - j**2 - 5*j - 4. Let z(y) = a*t(y) + 4*o(y). Give z(3).\n' | b'-9\n' | b'Let o(s) = s**3 - 2*s**2 - 3*s - 3. Suppose 0 = 6*a + 5*a + 33. Let t(j) = j**3 - j**2 - 5*j - 4. Let z(y) = a*t(y) + 4*o(y). Give z(3).\n' | b'-9\n' | deepmind/math_dataset |
b'Let z = 0 + 1. Let t = z - 0. Let w(c) be the second derivative of -c**3/6 - 2*c. Give w(t).\n' | b'-1\n' | b'Let z = 0 + 1. Let t = z - 0. Let w(c) be the second derivative of -c**3/6 - 2*c. Give w(t).\n' | b'-1\n' | deepmind/math_dataset |
b'Simplify (r/r**22*r)/(r*r**(1/14))*((((r**2/r)/r)/r)/r)**(-24) assuming r is positive.\n' | b'r**(377/14)\n' | b'Simplify (r/r**22*r)/(r*r**(1/14))*((((r**2/r)/r)/r)/r)**(-24) assuming r is positive.\n' | b'r**(377/14)\n' | deepmind/math_dataset |
b'What is prob of picking 1 z and 3 e when four letters picked without replacement from eeeeezzezeeeeezzeee?\n' | b'455/969\n' | b'What is prob of picking 1 z and 3 e when four letters picked without replacement from eeeeezzezeeeeezzeee?\n' | b'455/969\n' | deepmind/math_dataset |
b'Let o(v) = -4*v - 6. Let a(n) = n**3 + 9*n**2 + 18*n + 23. Let j be a(-7). Let x(p) = 7*p + 11. Let w(g) = j*o(g) - 3*x(g). Determine w(-3).\n' | b'0\n' | b'Let o(v) = -4*v - 6. Let a(n) = n**3 + 9*n**2 + 18*n + 23. Let j be a(-7). Let x(p) = 7*p + 11. Let w(g) = j*o(g) - 3*x(g). Determine w(-3).\n' | b'0\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 k when three letters picked without replacement from {k: 15, g: 4}.\n' | b'455/969\n' | b'Calculate prob of picking 3 k when three letters picked without replacement from {k: 15, g: 4}.\n' | b'455/969\n' | deepmind/math_dataset |
b'Suppose 4*w - 8 = -0*w, -4*d = -w - 18. Suppose 5*z + a - 4*a - 11 = 0, d = 2*z - a. Solve k + 7 = 2*x - x, z*k - x + 13 = 0 for k.\n' | b'-2\n' | b'Suppose 4*w - 8 = -0*w, -4*d = -w - 18. Suppose 5*z + a - 4*a - 11 = 0, d = 2*z - a. Solve k + 7 = 2*x - x, z*k - x + 13 = 0 for k.\n' | b'-2\n' | deepmind/math_dataset |
b'Simplify (t**0)**(-2/33)*t**(-2/3)/(t/(t/t**3))*(t**(-1))**(-5)/((t/t**(-2)*t)/t*t**(2/23)) assuming t is positive.\n' | b't**(-121/69)\n' | b'Simplify (t**0)**(-2/33)*t**(-2/3)/(t/(t/t**3))*(t**(-1))**(-5)/((t/t**(-2)*t)/t*t**(2/23)) assuming t is positive.\n' | b't**(-121/69)\n' | deepmind/math_dataset |
b'Let r = 62 - 59. Solve -5*u + 3*x = -2*x, 6 = r*x for u.\n' | b'2\n' | b'Let r = 62 - 59. Solve -5*u + 3*x = -2*x, 6 = r*x for u.\n' | b'2\n' | deepmind/math_dataset |
b'Let t(y) = y**3 + 2*y**2 + 3*y + 1. Let p be t(3). Suppose 6*f - 4*g - 44 = 2*f, -g = -5*f + p. Differentiate 8*q - 3 + 1 - f*q wrt q.\n' | b'-3\n' | b'Let t(y) = y**3 + 2*y**2 + 3*y + 1. Let p be t(3). Suppose 6*f - 4*g - 44 = 2*f, -g = -5*f + p. Differentiate 8*q - 3 + 1 - f*q wrt q.\n' | b'-3\n' | deepmind/math_dataset |
b'Let h(p) = p**2 + 11*p - 11. Let g be h(-12). Let j(k) be the third derivative of -7/60*k**5 - 1/12*k**4 + 0 + 0*k + 1/6*k**3 - k**2. Calculate j(g).\n' | b'-8\n' | b'Let h(p) = p**2 + 11*p - 11. Let g be h(-12). Let j(k) be the third derivative of -7/60*k**5 - 1/12*k**4 + 0 + 0*k + 1/6*k**3 - k**2. Calculate j(g).\n' | b'-8\n' | deepmind/math_dataset |
b'What is prob of sequence lzt when three letters picked without replacement from yylyztt?\n' | b'1/105\n' | b'What is prob of sequence lzt when three letters picked without replacement from yylyztt?\n' | b'1/105\n' | deepmind/math_dataset |
b'What is prob of sequence mux when three letters picked without replacement from mluzxcmzx?\n' | b'1/126\n' | b'What is prob of sequence mux when three letters picked without replacement from mluzxcmzx?\n' | b'1/126\n' | deepmind/math_dataset |
b'Calculate prob of picking 1 c and 1 q when two letters picked without replacement from cqcdicqkqqqckdccikkc.\n' | b'7/38\n' | b'Calculate prob of picking 1 c and 1 q when two letters picked without replacement from cqcdicqkqqqckdccikkc.\n' | b'7/38\n' | deepmind/math_dataset |
b'Simplify ((r**1)**(-6/11)*(r**(-2)*r)**(3/46))/((r**(-1))**(-1/15)*r**(-2/13)*r/((r**(-2/19)*r)/r)) assuming r is positive.\n' | b'r**(-3053477/1874730)\n' | b'Simplify ((r**1)**(-6/11)*(r**(-2)*r)**(3/46))/((r**(-1))**(-1/15)*r**(-2/13)*r/((r**(-2/19)*r)/r)) assuming r is positive.\n' | b'r**(-3053477/1874730)\n' | deepmind/math_dataset |
b'Let v(f) = -f**2 - 2*f. Let o(d) = -2*d**2 - 14*d - 9. Let q(a) = o(a) - v(a). Give q(-10).\n' | b'11\n' | b'Let v(f) = -f**2 - 2*f. Let o(d) = -2*d**2 - 14*d - 9. Let q(a) = o(a) - v(a). Give q(-10).\n' | b'11\n' | deepmind/math_dataset |
b'Let t(z) = -10*z + 4. Let w(h) = -h. Let d(y) = -t(y) + 4*w(y). Let q(x) = -5*x + 3. Let s(a) = -4*d(a) - 5*q(a). Calculate s(-1).\n' | b'0\n' | b'Let t(z) = -10*z + 4. Let w(h) = -h. Let d(y) = -t(y) + 4*w(y). Let q(x) = -5*x + 3. Let s(a) = -4*d(a) - 5*q(a). Calculate s(-1).\n' | b'0\n' | deepmind/math_dataset |
b'Simplify ((f/f**(-1/2))/(f/f**(-9)))**2 assuming f is positive.\n' | b'f**(-17)\n' | b'Simplify ((f/f**(-1/2))/(f/f**(-9)))**2 assuming f is positive.\n' | b'f**(-17)\n' | deepmind/math_dataset |
b'Let c(n) be the first derivative of 5*n**4/12 - 3*n**2/2 - 5*n + 17. Let f(g) be the first derivative of c(g). What is the derivative of f(h) wrt h?\n' | b'10*h\n' | b'Let c(n) be the first derivative of 5*n**4/12 - 3*n**2/2 - 5*n + 17. Let f(g) be the first derivative of c(g). What is the derivative of f(h) wrt h?\n' | b'10*h\n' | deepmind/math_dataset |
b'Let o = 53 - 34. Suppose -2*u + 6 = -4*j, -2 - o = -4*u - j. Suppose 5*g - 4 = 46. Solve -2*c = 2*z + 3*c + g, -2*c - 25 = u*z for z.\n' | b'-5\n' | b'Let o = 53 - 34. Suppose -2*u + 6 = -4*j, -2 - o = -4*u - j. Suppose 5*g - 4 = 46. Solve -2*c = 2*z + 3*c + g, -2*c - 25 = u*z for z.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence qbux when four letters picked without replacement from hxuhbpq?\n' | b'1/840\n' | b'What is prob of sequence qbux when four letters picked without replacement from hxuhbpq?\n' | b'1/840\n' | deepmind/math_dataset |
b'Let p(j) = -8 + 2*j**2 + 11 - 1 - 3*j + 3*j**3 - 2*j**3. Determine p(-3).\n' | b'2\n' | b'Let p(j) = -8 + 2*j**2 + 11 - 1 - 3*j + 3*j**3 - 2*j**3. Determine p(-3).\n' | b'2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 4, o: 4, q: 2, h: 7, b: 1}. What is prob of sequence ob?\n' | b'2/153\n' | b'Two letters picked without replacement from {g: 4, o: 4, q: 2, h: 7, b: 1}. What is prob of sequence ob?\n' | b'2/153\n' | deepmind/math_dataset |
b'Simplify (t*t*t/(t/(t/t**2))*t)/(t/(t/t**(-2/13)))*(t*t**(-4/3))/(t/((t/t**(2/13))/t)*t) assuming t is positive.\n' | b't**(-1/3)\n' | b'Simplify (t*t*t/(t/(t/t**2))*t)/(t/(t/t**(-2/13)))*(t*t**(-4/3))/(t/((t/t**(2/13))/t)*t) assuming t is positive.\n' | b't**(-1/3)\n' | deepmind/math_dataset |
b'Let w(c) = 14*c**2. Let o(l) = -15*l**2 + l. Let q(b) = 3*o(b) + 2*w(b). What is the second derivative of q(j) wrt j?\n' | b'-34\n' | b'Let w(c) = 14*c**2. Let o(l) = -15*l**2 + l. Let q(b) = 3*o(b) + 2*w(b). What is the second derivative of q(j) wrt j?\n' | b'-34\n' | deepmind/math_dataset |
b'Find the first derivative of -5*z**2 + 2 - z**2 - 11*z**2 + 3*z**2 wrt z.\n' | b'-28*z\n' | b'Find the first derivative of -5*z**2 + 2 - z**2 - 11*z**2 + 3*z**2 wrt z.\n' | b'-28*z\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {q: 2, f: 1, d: 2}. What is prob of sequence dq?\n' | b'1/5\n' | b'Two letters picked without replacement from {q: 2, f: 1, d: 2}. What is prob of sequence dq?\n' | b'1/5\n' | deepmind/math_dataset |
b'Four letters picked without replacement from kiiihmiiiiimik. Give prob of picking 1 i, 1 k, and 2 m.\n' | b'18/1001\n' | b'Four letters picked without replacement from kiiihmiiiiimik. Give prob of picking 1 i, 1 k, and 2 m.\n' | b'18/1001\n' | deepmind/math_dataset |
b'Let m be (-15)/5 + 4 - (-1)/1. Solve -5*a + 4*x - m*x = 19, 0 = 4*a + 2*x + 26 for a.\n' | b'-5\n' | b'Let m be (-15)/5 + 4 - (-1)/1. Solve -5*a + 4*x - m*x = 19, 0 = 4*a + 2*x + 26 for a.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose a = -3*v - 7, 0 = -a + 2*v - 173 + 166. Let t(j) = -j**2 - 33*j - 174. Calculate t(a).\n' | b'8\n' | b'Suppose a = -3*v - 7, 0 = -a + 2*v - 173 + 166. Let t(j) = -j**2 - 33*j - 174. Calculate t(a).\n' | b'8\n' | deepmind/math_dataset |
b'Let g(l) = -2*l**3 - 13*l**2 - 20*l - 12. Let u be g(-6). Suppose 90 = -27*v - u. Let i(p) = -p**3 - 6*p**2 + 2*p + 6. What is i(v)?\n' | b'-6\n' | b'Let g(l) = -2*l**3 - 13*l**2 - 20*l - 12. Let u be g(-6). Suppose 90 = -27*v - u. Let i(p) = -p**3 - 6*p**2 + 2*p + 6. What is i(v)?\n' | b'-6\n' | deepmind/math_dataset |
b'Suppose 3*c + 281 = 32. Let m = 84 + c. Find the second derivative of -1 + m + 17*f - 44*f + 18*f**5 wrt f.\n' | b'360*f**3\n' | b'Suppose 3*c + 281 = 32. Let m = 84 + c. Find the second derivative of -1 + m + 17*f - 44*f + 18*f**5 wrt f.\n' | b'360*f**3\n' | deepmind/math_dataset |
b'Simplify (m/(m*m**(-19)))**16 assuming m is positive.\n' | b'm**304\n' | b'Simplify (m/(m*m**(-19)))**16 assuming m is positive.\n' | b'm**304\n' | deepmind/math_dataset |
b'Simplify (((j*j**(-7))/j)/j)**(-26) assuming j is positive.\n' | b'j**208\n' | b'Simplify (((j*j**(-7))/j)/j)**(-26) assuming j is positive.\n' | b'j**208\n' | deepmind/math_dataset |
b'Let a(y) = 31*y**3 + 14*y**2 - 3*y + 8. Let h(t) = 10*t**3 + 5*t**2 - t + 3. Let z(m) = 3*a(m) - 8*h(m). Find the third derivative of z(d) wrt d.\n' | b'78\n' | b'Let a(y) = 31*y**3 + 14*y**2 - 3*y + 8. Let h(t) = 10*t**3 + 5*t**2 - t + 3. Let z(m) = 3*a(m) - 8*h(m). Find the third derivative of z(d) wrt d.\n' | b'78\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 z and 2 h when four letters picked without replacement from {z: 8, h: 4, k: 2}.\n' | b'24/143\n' | b'Calculate prob of picking 2 z and 2 h when four letters picked without replacement from {z: 8, h: 4, k: 2}.\n' | b'24/143\n' | deepmind/math_dataset |
b'Three letters picked without replacement from eceecdedereceeerre. Give prob of picking 2 c and 1 e.\n' | b'5/136\n' | b'Three letters picked without replacement from eceecdedereceeerre. Give prob of picking 2 c and 1 e.\n' | b'5/136\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {w: 15, f: 3}. Give prob of picking 2 f.\n' | b'1/51\n' | b'Two letters picked without replacement from {w: 15, f: 3}. Give prob of picking 2 f.\n' | b'1/51\n' | deepmind/math_dataset |
b'Suppose 45*n = 2*n + 258. Suppose h + 1040 = 2*h. What is the third derivative of -1040*r**5 + 5*r**6 - n*r**2 + h*r**5 wrt r?\n' | b'600*r**3\n' | b'Suppose 45*n = 2*n + 258. Suppose h + 1040 = 2*h. What is the third derivative of -1040*r**5 + 5*r**6 - n*r**2 + h*r**5 wrt r?\n' | b'600*r**3\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {l: 2, q: 2, c: 1, i: 4}. What is prob of sequence lii?\n' | b'1/21\n' | b'Three letters picked without replacement from {l: 2, q: 2, c: 1, i: 4}. What is prob of sequence lii?\n' | b'1/21\n' | deepmind/math_dataset |
b'Let l(x) be the second derivative of x**4/12 - x**3/6 - 8*x**2 + 16*x. Let d(s) be the first derivative of l(s). Let a = -2 - -5. What is d(a)?\n' | b'5\n' | b'Let l(x) be the second derivative of x**4/12 - x**3/6 - 8*x**2 + 16*x. Let d(s) be the first derivative of l(s). Let a = -2 - -5. What is d(a)?\n' | b'5\n' | deepmind/math_dataset |
b'Let o(j) = 0*j**2 - j**2 - 15 - 12*j - j**2 + j**2. What is o(-10)?\n' | b'5\n' | b'Let o(j) = 0*j**2 - j**2 - 15 - 12*j - j**2 + j**2. What is o(-10)?\n' | b'5\n' | deepmind/math_dataset |
b'Suppose -12*v + 7*v = -140. Let o = -4 + v. Solve -r + 0*p + 24 = 5*p, -2*p = 4*r - o for r.\n' | b'4\n' | b'Suppose -12*v + 7*v = -140. Let o = -4 + v. Solve -r + 0*p + 24 = 5*p, -2*p = 4*r - o for r.\n' | b'4\n' | deepmind/math_dataset |
b'What is prob of sequence cccc when four letters picked without replacement from {c: 6}?\n' | b'1\n' | b'What is prob of sequence cccc when four letters picked without replacement from {c: 6}?\n' | b'1\n' | deepmind/math_dataset |
b'What is the second derivative of -17*h**5 - 9*h**5 + 10*h + 6*h - 12*h wrt h?\n' | b'-520*h**3\n' | b'What is the second derivative of -17*h**5 - 9*h**5 + 10*h + 6*h - 12*h wrt h?\n' | b'-520*h**3\n' | deepmind/math_dataset |
b'Calculate prob of sequence beoo when four letters picked without replacement from {o: 5, e: 1, b: 1, n: 3, v: 2}.\n' | b'1/594\n' | b'Calculate prob of sequence beoo when four letters picked without replacement from {o: 5, e: 1, b: 1, n: 3, v: 2}.\n' | b'1/594\n' | deepmind/math_dataset |
b'What is the second derivative of 16*g**3 + g**2 - g**2 + 12*g + g wrt g?\n' | b'96*g\n' | b'What is the second derivative of 16*g**3 + g**2 - g**2 + 12*g + g wrt g?\n' | b'96*g\n' | deepmind/math_dataset |
b'What is prob of sequence wbll when four letters picked without replacement from {o: 1, b: 1, l: 2, w: 1}?\n' | b'1/60\n' | b'What is prob of sequence wbll when four letters picked without replacement from {o: 1, b: 1, l: 2, w: 1}?\n' | b'1/60\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vjvmjjjjmjjmjjmlj. Give prob of sequence jm.\n' | b'5/34\n' | b'Two letters picked without replacement from vjvmjjjjmjjmjjmlj. Give prob of sequence jm.\n' | b'5/34\n' | deepmind/math_dataset |
b'Let r be 88/14 - 8/28. Let o(y) = -2*y. Let t be o(r). Let k be 10/(-25) + t/(-5). Solve k*f - f + 7 = -2*l, 2*f = -3*l - 13 for f.\n' | b'-5\n' | b'Let r be 88/14 - 8/28. Let o(y) = -2*y. Let t be o(r). Let k be 10/(-25) + t/(-5). Solve k*f - f + 7 = -2*l, 2*f = -3*l - 13 for f.\n' | b'-5\n' | deepmind/math_dataset |
b'Suppose 14 = 4*a - 6. Let m be (1 - (2 + -1))/1. Suppose -a*f + 10*f - 55 = m. Solve 5*j - f = -d + 2*j, 0 = -4*d - 5*j + 30 for d.\n' | b'5\n' | b'Suppose 14 = 4*a - 6. Let m be (1 - (2 + -1))/1. Suppose -a*f + 10*f - 55 = m. Solve 5*j - f = -d + 2*j, 0 = -4*d - 5*j + 30 for d.\n' | b'5\n' | deepmind/math_dataset |
b'Let o = 6 - 3. Let q be o/(-2)*4/(-3). What is the third derivative of 2*u**4 - 7 + 7 + 3*u**q wrt u?\n' | b'48*u\n' | b'Let o = 6 - 3. Let q be o/(-2)*4/(-3). What is the third derivative of 2*u**4 - 7 + 7 + 3*u**q wrt u?\n' | b'48*u\n' | deepmind/math_dataset |
b'Let c be (-11 - -11) + 8/2. Solve -2*y = -c, 0*k - 2*k - 5*y = -20 for k.\n' | b'5\n' | b'Let c be (-11 - -11) + 8/2. Solve -2*y = -c, 0*k - 2*k - 5*y = -20 for k.\n' | b'5\n' | deepmind/math_dataset |
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