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 p = -247 - -250. Solve 0 = 4*k + p*f - 5, -4*k + 2*f = -7*k + 4 for k.\n' | b'2\n' | b'Let p = -247 - -250. Solve 0 = 4*k + p*f - 5, -4*k + 2*f = -7*k + 4 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Calculate prob of sequence txt when three letters picked without replacement from jrxxbxtxjtrjxx.\n' | b'1/182\n' | b'Calculate prob of sequence txt when three letters picked without replacement from jrxxbxtxjtrjxx.\n' | b'1/182\n' | deepmind/math_dataset |
b'Suppose -9 = -2*v + t + 13, 4*v = -5*t + 58. Solve h = 3*w - 18, -v*h = -14*h - 5*w + 19 for h.\n' | b'-3\n' | b'Suppose -9 = -2*v + t + 13, 4*v = -5*t + 58. Solve h = 3*w - 18, -v*h = -14*h - 5*w + 19 for h.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify (w*w/w**13)**(-24/7)/((w/(w*w/(w/w**0)))/(w*w**(1/6)*w)) assuming w is positive.\n' | b'w**(1675/42)\n' | b'Simplify (w*w/w**13)**(-24/7)/((w/(w*w/(w/w**0)))/(w*w**(1/6)*w)) assuming w is positive.\n' | b'w**(1675/42)\n' | deepmind/math_dataset |
b'Calculate prob of sequence bxb when three letters picked without replacement from ssbsbbsxx.\n' | b'1/42\n' | b'Calculate prob of sequence bxb when three letters picked without replacement from ssbsbbsxx.\n' | b'1/42\n' | deepmind/math_dataset |
b'Let q(p) = -3*p - 4. Suppose 5*r + 48 = -7*r. Determine q(r).\n' | b'8\n' | b'Let q(p) = -3*p - 4. Suppose 5*r + 48 = -7*r. Determine q(r).\n' | b'8\n' | deepmind/math_dataset |
b'What is prob of picking 3 t and 1 y when four letters picked without replacement from {k: 3, t: 3, y: 1, o: 3}?\n' | b'1/210\n' | b'What is prob of picking 3 t and 1 y when four letters picked without replacement from {k: 3, t: 3, y: 1, o: 3}?\n' | b'1/210\n' | deepmind/math_dataset |
b'Let f(m) = 2*m - 29. Let r be f(16). Find the third derivative of -10*t**2 + 54 - 13*t**2 - 22*t**2 + 55*t**r - 52 wrt t.\n' | b'330\n' | b'Let f(m) = 2*m - 29. Let r be f(16). Find the third derivative of -10*t**2 + 54 - 13*t**2 - 22*t**2 + 55*t**r - 52 wrt t.\n' | b'330\n' | deepmind/math_dataset |
b'Calculate prob of sequence mmu when three letters picked without replacement from mmummmumm.\n' | b'1/6\n' | b'Calculate prob of sequence mmu when three letters picked without replacement from mmummmumm.\n' | b'1/6\n' | deepmind/math_dataset |
b'Let p(d) be the second derivative of 2*d**6/15 + 3*d**2 + 2*d. Differentiate p(v) wrt v.\n' | b'16*v**3\n' | b'Let p(d) be the second derivative of 2*d**6/15 + 3*d**2 + 2*d. Differentiate p(v) wrt v.\n' | b'16*v**3\n' | deepmind/math_dataset |
b'Simplify (j/(j*j/(j*j**(3/4))*j))**(-10)/(j/((j**6*j)/j)*(j/(j/j**(-12))*j)/j) assuming j is positive.\n' | b'j**(39/2)\n' | b'Simplify (j/(j*j/(j*j**(3/4))*j))**(-10)/(j/((j**6*j)/j)*(j/(j/j**(-12))*j)/j) assuming j is positive.\n' | b'j**(39/2)\n' | deepmind/math_dataset |
b'What is prob of sequence ppp when three letters picked without replacement from {d: 5, p: 13}?\n' | b'143/408\n' | b'What is prob of sequence ppp when three letters picked without replacement from {d: 5, p: 13}?\n' | b'143/408\n' | deepmind/math_dataset |
b'Let o be (8/6 - 1) + (42 - (-3596)/(-87)). Solve -2*d - o = 2*k - 3*d, 0 = -3*k - 5*d + 31 for k.\n' | b'2\n' | b'Let o be (8/6 - 1) + (42 - (-3596)/(-87)). Solve -2*d - o = 2*k - 3*d, 0 = -3*k - 5*d + 31 for k.\n' | b'2\n' | deepmind/math_dataset |
b'Let a = 46 - 64. Let o be (a/(-12)*-1)/(2/(-4)). Solve -4*b - 7 = 3*l, 2*b + o - 5 = 4*l for b.\n' | b'-1\n' | b'Let a = 46 - 64. Let o be (a/(-12)*-1)/(2/(-4)). Solve -4*b - 7 = 3*l, 2*b + o - 5 = 4*l for b.\n' | b'-1\n' | deepmind/math_dataset |
b'Let w(y) be the second derivative of -487*y**6/30 - 3*y**5/20 - 57*y**2 + 2433*y. Differentiate w(a) wrt a.\n' | b'-1948*a**3 - 9*a**2\n' | b'Let w(y) be the second derivative of -487*y**6/30 - 3*y**5/20 - 57*y**2 + 2433*y. Differentiate w(a) wrt a.\n' | b'-1948*a**3 - 9*a**2\n' | deepmind/math_dataset |
b'Let x(u) = -2*u + 22. Let q be -7 + 8 - 5/(-1). Let f be x(q). Solve 2*p + 7*i - 3*i = -f, -i = 0 for p.\n' | b'-5\n' | b'Let x(u) = -2*u + 22. Let q be -7 + 8 - 5/(-1). Let f be x(q). Solve 2*p + 7*i - 3*i = -f, -i = 0 for p.\n' | b'-5\n' | deepmind/math_dataset |
b'Simplify (z**26*(z*z/(z**25*z*z)*z)/z)/(z/(z/(z*z**7)*z)*z*z*z/(z*z**(-1/8)*z*z)) assuming z is positive.\n' | b'z**(-49/8)\n' | b'Simplify (z**26*(z*z/(z**25*z*z)*z)/z)/(z/(z/(z*z**7)*z)*z*z*z/(z*z**(-1/8)*z*z)) assuming z is positive.\n' | b'z**(-49/8)\n' | deepmind/math_dataset |
b'Suppose -12 - 58 = -2*h. Let c be h/7*(-6)/(-10). Solve x = c*j + 7, -3*x - 2*j = -j + 9 for x.\n' | b'-2\n' | b'Suppose -12 - 58 = -2*h. Let c be h/7*(-6)/(-10). Solve x = c*j + 7, -3*x - 2*j = -j + 9 for x.\n' | b'-2\n' | deepmind/math_dataset |
b'Suppose -4*l = -l - 6. Suppose -l*w - 3 = 1. Let h be 1/(w - 15/(-6)). Solve -2*t = -h*c - 7*t - 25, 4*c - 3*t + 11 = 0 for c.\n' | b'-5\n' | b'Suppose -4*l = -l - 6. Suppose -l*w - 3 = 1. Let h be 1/(w - 15/(-6)). Solve -2*t = -h*c - 7*t - 25, 4*c - 3*t + 11 = 0 for c.\n' | b'-5\n' | deepmind/math_dataset |
b'What is prob of sequence yy when two letters picked without replacement from {y: 3, z: 3}?\n' | b'1/5\n' | b'What is prob of sequence yy when two letters picked without replacement from {y: 3, z: 3}?\n' | b'1/5\n' | deepmind/math_dataset |
b'What is prob of picking 2 w and 2 c when four letters picked without replacement from {w: 2, c: 6}?\n' | b'3/14\n' | b'What is prob of picking 2 w and 2 c when four letters picked without replacement from {w: 2, c: 6}?\n' | b'3/14\n' | deepmind/math_dataset |
b'What is prob of picking 1 g and 2 a when three letters picked without replacement from {a: 3, g: 1}?\n' | b'3/4\n' | b'What is prob of picking 1 g and 2 a when three letters picked without replacement from {a: 3, g: 1}?\n' | b'3/4\n' | deepmind/math_dataset |
b'Suppose 240*h - 243*h + 18 = 0. Solve -20 = f + 4*x, -h*x + x - 20 = 0 for f.\n' | b'-4\n' | b'Suppose 240*h - 243*h + 18 = 0. Solve -20 = f + 4*x, -h*x + x - 20 = 0 for f.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from ptnpnjpptn. What is prob of sequence jn?\n' | b'1/30\n' | b'Two letters picked without replacement from ptnpnjpptn. What is prob of sequence jn?\n' | b'1/30\n' | deepmind/math_dataset |
b'Calculate prob of sequence zg when two letters picked without replacement from gaazzazaza.\n' | b'2/45\n' | b'Calculate prob of sequence zg when two letters picked without replacement from gaazzazaza.\n' | b'2/45\n' | deepmind/math_dataset |
b'Simplify ((j*(j**(-9)/j)/j)/j*j**(-3/4))/((j*j/j**(-4))/j**10) assuming j is positive.\n' | b'j**(-31/4)\n' | b'Simplify ((j*(j**(-9)/j)/j)/j*j**(-3/4))/((j*j/j**(-4))/j**10) assuming j is positive.\n' | b'j**(-31/4)\n' | deepmind/math_dataset |
b'Find the second derivative of 3*c - 2*c + 0*c - c**5 - 4*c**5 wrt c.\n' | b'-100*c**3\n' | b'Find the second derivative of 3*c - 2*c + 0*c - c**5 - 4*c**5 wrt c.\n' | b'-100*c**3\n' | deepmind/math_dataset |
b'Let g(t) = -t**2 - 7*t + 14. Let n be g(-6). Solve -4*o + 2*o - 2*v = 10, 5*o + n = -4*v for o.\n' | b'0\n' | b'Let g(t) = -t**2 - 7*t + 14. Let n be g(-6). Solve -4*o + 2*o - 2*v = 10, 5*o + n = -4*v for o.\n' | b'0\n' | deepmind/math_dataset |
b'Let f = 110 - 106. Suppose 0 = n - f*x - 2, -5 = -n - x - 3. Solve 3*w = w + 2, 8 = -3*q + n*w for q.\n' | b'-2\n' | b'Let f = 110 - 106. Suppose 0 = n - f*x - 2, -5 = -n - x - 3. Solve 3*w = w + 2, 8 = -3*q + n*w for q.\n' | b'-2\n' | deepmind/math_dataset |
b'Calculate prob of sequence pppp when four letters picked without replacement from ppppppuppppu.\n' | b'14/33\n' | b'Calculate prob of sequence pppp when four letters picked without replacement from ppppppuppppu.\n' | b'14/33\n' | deepmind/math_dataset |
b'Let d(k) be the third derivative of -13*k**2 + 1/15*k**5 - 1/24*k**6 + 0*k**4 + 0 + 0*k**3 + 0*k. What is the third derivative of d(f) wrt f?\n' | b'-30\n' | b'Let d(k) be the third derivative of -13*k**2 + 1/15*k**5 - 1/24*k**6 + 0*k**4 + 0 + 0*k**3 + 0*k. What is the third derivative of d(f) wrt f?\n' | b'-30\n' | deepmind/math_dataset |
b'What is prob of picking 3 t and 1 v when four letters picked without replacement from tvvvtvvttvvvtvvv?\n' | b'11/182\n' | b'What is prob of picking 3 t and 1 v when four letters picked without replacement from tvvvtvvttvvvtvvv?\n' | b'11/182\n' | deepmind/math_dataset |
b'Simplify (t*t**(-2/41)*t**(-4/13))/(t*t**(-2/11))**(-1/27) assuming t is positive.\n' | b't**(11852/17589)\n' | b'Simplify (t*t**(-2/41)*t**(-4/13))/(t*t**(-2/11))**(-1/27) assuming t is positive.\n' | b't**(11852/17589)\n' | deepmind/math_dataset |
b'Simplify ((v**(-1))**(5/9))**43*v**4*v*v/v**(6/7)*(v*v**(-1/2)/v)/v*v*v/((v/((v*v/v**(-2/13))/v))/v) assuming v is positive.\n' | b'v**(-27997/1638)\n' | b'Simplify ((v**(-1))**(5/9))**43*v**4*v*v/v**(6/7)*(v*v**(-1/2)/v)/v*v*v/((v/((v*v/v**(-2/13))/v))/v) assuming v is positive.\n' | b'v**(-27997/1638)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from {e: 8, q: 3}. Give prob of sequence eeq.\n' | b'28/165\n' | b'Three letters picked without replacement from {e: 8, q: 3}. Give prob of sequence eeq.\n' | b'28/165\n' | deepmind/math_dataset |
b'Simplify g**(-3/5)/g*(g*g/(g**4/g))/g*g assuming g is positive.\n' | b'g**(-13/5)\n' | b'Simplify g**(-3/5)/g*(g*g/(g**4/g))/g*g assuming g is positive.\n' | b'g**(-13/5)\n' | deepmind/math_dataset |
b'Simplify (x**(-3/4)*x*(x*x/(x**(-11)/x))/x*x)/((x/x**10)/x*x*x**(2/15)) assuming x is positive.\n' | b'x**(1387/60)\n' | b'Simplify (x**(-3/4)*x*(x*x/(x**(-11)/x))/x*x)/((x/x**10)/x*x*x**(2/15)) assuming x is positive.\n' | b'x**(1387/60)\n' | deepmind/math_dataset |
b'Simplify (((n**14*n)/n)/(n*n**(-22/3)*n*n))/(n*n**(-1/14)*n**(-11)) assuming n is positive.\n' | b'n**(1193/42)\n' | b'Simplify (((n**14*n)/n)/(n*n**(-22/3)*n*n))/(n*n**(-1/14)*n**(-11)) assuming n is positive.\n' | b'n**(1193/42)\n' | deepmind/math_dataset |
b'What is prob of sequence yff when three letters picked without replacement from yfyyfy?\n' | b'1/15\n' | b'What is prob of sequence yff when three letters picked without replacement from yfyyfy?\n' | b'1/15\n' | deepmind/math_dataset |
b'Calculate prob of picking 2 v and 2 k when four letters picked without replacement from kvvkoovovkkvkok.\n' | b'10/91\n' | b'Calculate prob of picking 2 v and 2 k when four letters picked without replacement from kvvkoovovkkvkok.\n' | b'10/91\n' | deepmind/math_dataset |
b'Two letters picked without replacement from uuuuuuuuu. Give prob of picking 2 u.\n' | b'1\n' | b'Two letters picked without replacement from uuuuuuuuu. Give prob of picking 2 u.\n' | b'1\n' | deepmind/math_dataset |
b'Let j be 6/(-9) - 246/(-18). Solve 0 = 2*i + 4*l - l + j, -5 = 5*l for i.\n' | b'-5\n' | b'Let j be 6/(-9) - 246/(-18). Solve 0 = 2*i + 4*l - l + j, -5 = 5*l for i.\n' | b'-5\n' | deepmind/math_dataset |
b'Let p(g) = -82*g**2 - 8*g - 11. Let u be p(-2). Let i = u - -337. Solve 2*w = -2*y - 18, w - 2*y + i = -4*y for w.\n' | b'-4\n' | b'Let p(g) = -82*g**2 - 8*g - 11. Let u be p(-2). Let i = u - -337. Solve 2*w = -2*y - 18, w - 2*y + i = -4*y for w.\n' | b'-4\n' | deepmind/math_dataset |
b'Simplify ((w**(-2)*w)/w)**(-46)*(w**(1/3))**(-14/5) assuming w is positive.\n' | b'w**(1366/15)\n' | b'Simplify ((w**(-2)*w)/w)**(-46)*(w**(1/3))**(-14/5) assuming w is positive.\n' | b'w**(1366/15)\n' | deepmind/math_dataset |
b'Calculate prob of picking 3 p when three letters picked without replacement from pepep.\n' | b'1/10\n' | b'Calculate prob of picking 3 p when three letters picked without replacement from pepep.\n' | b'1/10\n' | deepmind/math_dataset |
b'Let x be (0 - 3)/(18/24). Let i be ((-60)/18)/(x/6). What is the third derivative of k**2 - k**5 - 3*k**2 - 4*k**2 - 2*k**i wrt k?\n' | b'-180*k**2\n' | b'Let x be (0 - 3)/(18/24). Let i be ((-60)/18)/(x/6). What is the third derivative of k**2 - k**5 - 3*k**2 - 4*k**2 - 2*k**i wrt k?\n' | b'-180*k**2\n' | deepmind/math_dataset |
b'What is prob of sequence csi when three letters picked without replacement from {h: 2, s: 3, c: 1, i: 1}?\n' | b'1/70\n' | b'What is prob of sequence csi when three letters picked without replacement from {h: 2, s: 3, c: 1, i: 1}?\n' | b'1/70\n' | deepmind/math_dataset |
b'Calculate prob of sequence la when two letters picked without replacement from {d: 2, w: 2, a: 1, l: 1}.\n' | b'1/30\n' | b'Calculate prob of sequence la when two letters picked without replacement from {d: 2, w: 2, a: 1, l: 1}.\n' | b'1/30\n' | deepmind/math_dataset |
b'Suppose 4*j + 2*f - 5 = -3*f, -3*f + 3 = -2*j. Differentiate -1 - 1 + 4*s**2 + j - 1 wrt s.\n' | b'8*s\n' | b'Suppose 4*j + 2*f - 5 = -3*f, -3*f + 3 = -2*j. Differentiate -1 - 1 + 4*s**2 + j - 1 wrt s.\n' | b'8*s\n' | deepmind/math_dataset |
b'Three letters picked without replacement from qxxxxxqxxxxqqxxxqxxx. What is prob of picking 1 q and 2 x?\n' | b'35/76\n' | b'Three letters picked without replacement from qxxxxxqxxxxqqxxxqxxx. What is prob of picking 1 q and 2 x?\n' | b'35/76\n' | deepmind/math_dataset |
b'Four letters picked without replacement from ooyyyyyy. Give prob of sequence yyoo.\n' | b'1/28\n' | b'Four letters picked without replacement from ooyyyyyy. Give prob of sequence yyoo.\n' | b'1/28\n' | deepmind/math_dataset |
b'Two letters picked without replacement from rkkkyaarra. Give prob of picking 1 r and 1 a.\n' | b'1/5\n' | b'Two letters picked without replacement from rkkkyaarra. Give prob of picking 1 r and 1 a.\n' | b'1/5\n' | deepmind/math_dataset |
b'Let k(g) = 11*g**2 - 1 + 6 + g**3 + 10*g - 3. Let x be k(-10). Solve -3*q - 1 = c - q, -x*c + q + 8 = 0 for c.\n' | b'3\n' | b'Let k(g) = 11*g**2 - 1 + 6 + g**3 + 10*g - 3. Let x be k(-10). Solve -3*q - 1 = c - q, -x*c + q + 8 = 0 for c.\n' | b'3\n' | deepmind/math_dataset |
b'Four letters picked without replacement from lppupppggpuu. What is prob of picking 3 u and 1 g?\n' | b'2/495\n' | b'Four letters picked without replacement from lppupppggpuu. What is prob of picking 3 u and 1 g?\n' | b'2/495\n' | deepmind/math_dataset |
b'Simplify ((b/((b*b/b**(-8)*b)/b))/b)/((b**(-7)*b)/b)*(b**1*b)**20 assuming b is positive.\n' | b'b**37\n' | b'Simplify ((b/((b*b/b**(-8)*b)/b))/b)/((b**(-7)*b)/b)*(b**1*b)**20 assuming b is positive.\n' | b'b**37\n' | deepmind/math_dataset |
b'Suppose 6 = 4*g + 2*q - 8, 3*g = 3*q + 24. Let j(z) = -2*z**2 - 3 + z + z**3 + 3*z**2 - 5*z**2 - z**2. Determine j(g).\n' | b'2\n' | b'Suppose 6 = 4*g + 2*q - 8, 3*g = 3*q + 24. Let j(z) = -2*z**2 - 3 + z + z**3 + 3*z**2 - 5*z**2 - z**2. Determine j(g).\n' | b'2\n' | deepmind/math_dataset |
b'Simplify ((l*l*l**(-1/2)/l)**(2/21)*(l*l*(l/l**(-2/5)*l)/l)/((l/((l**0*l)/l))/l))**(-4/11) assuming l is positive.\n' | b'l**(-1448/1155)\n' | b'Simplify ((l*l*l**(-1/2)/l)**(2/21)*(l*l*(l/l**(-2/5)*l)/l)/((l/((l**0*l)/l))/l))**(-4/11) assuming l is positive.\n' | b'l**(-1448/1155)\n' | deepmind/math_dataset |
b'Simplify ((t**(-1/3)*t*t)/(t*t**(-3/7)))/((t/(((t*t/(t/t**(1/7)))/t)/t))/(t*t**5))*(t**(-1)*t)**(20/3)*t*t**(-2/5)*t**0*t assuming t is positive.\n' | b't**(718/105)\n' | b'Simplify ((t**(-1/3)*t*t)/(t*t**(-3/7)))/((t/(((t*t/(t/t**(1/7)))/t)/t))/(t*t**5))*(t**(-1)*t)**(20/3)*t*t**(-2/5)*t**0*t assuming t is positive.\n' | b't**(718/105)\n' | deepmind/math_dataset |
b'Let d(n) = 37*n**3 + 3*n**2 - n. Let i be d(1). What is the second derivative of -i*s - s - 2*s**3 + 52*s**3 - 28*s wrt s?\n' | b'300*s\n' | b'Let d(n) = 37*n**3 + 3*n**2 - n. Let i be d(1). What is the second derivative of -i*s - s - 2*s**3 + 52*s**3 - 28*s wrt s?\n' | b'300*s\n' | deepmind/math_dataset |
b'Let j be (-8)/(-16 + (-1768)/(-119)). Solve -4 = 4*d + 4*z, -2*d - 6*z - 14 = -j*z for d.\n' | b'-5\n' | b'Let j be (-8)/(-16 + (-1768)/(-119)). Solve -4 = 4*d + 4*z, -2*d - 6*z - 14 = -j*z for d.\n' | b'-5\n' | deepmind/math_dataset |
b'Let o be 1*(5 - -1)/(-12)*6. Let z(a) = -a**2 + a + 16. Determine z(o).\n' | b'4\n' | b'Let o be 1*(5 - -1)/(-12)*6. Let z(a) = -a**2 + a + 16. Determine z(o).\n' | b'4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from llttlttlltttllll. Give prob of sequence tt.\n' | b'7/40\n' | b'Two letters picked without replacement from llttlttlltttllll. Give prob of sequence tt.\n' | b'7/40\n' | deepmind/math_dataset |
b'What is prob of picking 1 q and 2 x when three letters picked without replacement from axnnnxnaaqxnn?\n' | b'3/286\n' | b'What is prob of picking 1 q and 2 x when three letters picked without replacement from axnnnxnaaqxnn?\n' | b'3/286\n' | deepmind/math_dataset |
b'Suppose 0 = 4*w + 3*j - 12, 16*w - 14*w = -3*j + 12. Let x(r) = -r**3 - r**2 + 2*r + 4. What is x(w)?\n' | b'4\n' | b'Suppose 0 = 4*w + 3*j - 12, 16*w - 14*w = -3*j + 12. Let x(r) = -r**3 - r**2 + 2*r + 4. What is x(w)?\n' | b'4\n' | deepmind/math_dataset |
b'Simplify v**20*v*v*v**(1/12)/v*v assuming v is positive.\n' | b'v**(265/12)\n' | b'Simplify v**20*v*v*v**(1/12)/v*v assuming v is positive.\n' | b'v**(265/12)\n' | deepmind/math_dataset |
b'Calculate prob of sequence nsj when three letters picked without replacement from nnnsnnsnnjsnjcnsnj.\n' | b'5/204\n' | b'Calculate prob of sequence nsj when three letters picked without replacement from nnnsnnsnnjsnjcnsnj.\n' | b'5/204\n' | deepmind/math_dataset |
b'Let i = -93 - -96. Suppose 0*a + 12 = i*a. Solve 5*t + 2*j = 16, a*j = 2*t + j - 14 for t.\n' | b'4\n' | b'Let i = -93 - -96. Suppose 0*a + 12 = i*a. Solve 5*t + 2*j = 16, a*j = 2*t + j - 14 for t.\n' | b'4\n' | deepmind/math_dataset |
b'Let p = 975 + -529. Let y = p + -443. Solve -1 - y = -3*j + 4*g, 3*j = -2*g + 16 for j.\n' | b'4\n' | b'Let p = 975 + -529. Let y = p + -443. Solve -1 - y = -3*j + 4*g, 3*j = -2*g + 16 for j.\n' | b'4\n' | deepmind/math_dataset |
b'Calculate prob of sequence znzc when four letters picked without replacement from znpzcpncnczp.\n' | b'1/220\n' | b'Calculate prob of sequence znzc when four letters picked without replacement from znpzcpncnczp.\n' | b'1/220\n' | deepmind/math_dataset |
b'Four letters picked without replacement from {a: 4, p: 5, l: 3}. Give prob of sequence pppp.\n' | b'1/99\n' | b'Four letters picked without replacement from {a: 4, p: 5, l: 3}. Give prob of sequence pppp.\n' | b'1/99\n' | deepmind/math_dataset |
b'Calculate prob of sequence kik when three letters picked without replacement from ikkyyukkpyi.\n' | b'4/165\n' | b'Calculate prob of sequence kik when three letters picked without replacement from ikkyyukkpyi.\n' | b'4/165\n' | deepmind/math_dataset |
b'Simplify ((z/(z*z**(-2/5)/z))/z**(-3/2))/(z/z**(-5)*z**(-1/10)*z) assuming z is positive.\n' | b'z**(-4)\n' | b'Simplify ((z/(z*z**(-2/5)/z))/z**(-3/2))/(z/z**(-5)*z**(-1/10)*z) assuming z is positive.\n' | b'z**(-4)\n' | deepmind/math_dataset |
b'Let l(p) = 3*p + 19. Let d(h) = h + 6. Let o be (-8)/14 - (-75)/21. Suppose -2*a - o*f - 36 = 2*f, -4*f - 16 = 0. Let q(k) = a*d(k) + 3*l(k). What is q(-6)?\n' | b'3\n' | b'Let l(p) = 3*p + 19. Let d(h) = h + 6. Let o be (-8)/14 - (-75)/21. Suppose -2*a - o*f - 36 = 2*f, -4*f - 16 = 0. Let q(k) = a*d(k) + 3*l(k). What is q(-6)?\n' | b'3\n' | deepmind/math_dataset |
b'Let u(m) = 15*m**2 + 12*m + 1. Let j be 0/(-2) + -3*12/36. Let q be u(j). Solve 2*w = -w + 3*b - 3, q*w - 5*b = -4 for w.\n' | b'-1\n' | b'Let u(m) = 15*m**2 + 12*m + 1. Let j be 0/(-2) + -3*12/36. Let q be u(j). Solve 2*w = -w + 3*b - 3, q*w - 5*b = -4 for w.\n' | b'-1\n' | deepmind/math_dataset |
b'Suppose 0 = -3*d - 17 + 44. Let s = d - 5. Suppose -3*x + s = -2. Solve 10 = -4*a - x*p, -4*p = -a + 4*a + 5 for a.\n' | b'-3\n' | b'Suppose 0 = -3*d - 17 + 44. Let s = d - 5. Suppose -3*x + s = -2. Solve 10 = -4*a - x*p, -4*p = -a + 4*a + 5 for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Suppose 4*z = -2*z + 1332. Suppose -2*g = 4*g + z. Let j = -33 - g. Solve 3*t + 5 = j*i - 8, -2*t = 5*i - 22 for t.\n' | b'1\n' | b'Suppose 4*z = -2*z + 1332. Suppose -2*g = 4*g + z. Let j = -33 - g. Solve 3*t + 5 = j*i - 8, -2*t = 5*i - 22 for t.\n' | b'1\n' | deepmind/math_dataset |
b'Suppose 10*n - 5*n - 15 = 0. Let g = n - -1. Find the second derivative of 0*i**g - i - 2*i**4 + 0*i**4 wrt i.\n' | b'-24*i**2\n' | b'Suppose 10*n - 5*n - 15 = 0. Let g = n - -1. Find the second derivative of 0*i**g - i - 2*i**4 + 0*i**4 wrt i.\n' | b'-24*i**2\n' | deepmind/math_dataset |
b'Simplify i**27/(i/(i*i*i*(i**11*i)/i*i)) assuming i is positive.\n' | b'i**41\n' | b'Simplify i**27/(i/(i*i*i*(i**11*i)/i*i)) assuming i is positive.\n' | b'i**41\n' | deepmind/math_dataset |
b'Let m(k) = -4*k**3 - 3*k**2 + 5*k. Let b(p) = -4*p**3 - 4*p**2 + 6*p. Let y(u) = 3*b(u) - 4*m(u). What is the second derivative of y(c) wrt c?\n' | b'24*c\n' | b'Let m(k) = -4*k**3 - 3*k**2 + 5*k. Let b(p) = -4*p**3 - 4*p**2 + 6*p. Let y(u) = 3*b(u) - 4*m(u). What is the second derivative of y(c) wrt c?\n' | b'24*c\n' | deepmind/math_dataset |
b'Let j(g) = 1. Let y(t) = -t + 2. Let a(v) = -3*j(v) + y(v). Determine a(-7).\n' | b'6\n' | b'Let j(g) = 1. Let y(t) = -t + 2. Let a(v) = -3*j(v) + y(v). Determine a(-7).\n' | b'6\n' | deepmind/math_dataset |
b'Simplify (i**(1/53)*i*i**(-1/21)/i)/(i**(5/8))**(-38) assuming i is positive.\n' | b'i**(105607/4452)\n' | b'Simplify (i**(1/53)*i*i**(-1/21)/i)/(i**(5/8))**(-38) assuming i is positive.\n' | b'i**(105607/4452)\n' | deepmind/math_dataset |
b'What is the third derivative of -10*z**5 - 2*z**2 + 5*z**2 - 17*z**5 wrt z?\n' | b'-1620*z**2\n' | b'What is the third derivative of -10*z**5 - 2*z**2 + 5*z**2 - 17*z**5 wrt z?\n' | b'-1620*z**2\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {g: 4, y: 7, s: 2, f: 2, w: 1}. What is prob of picking 2 f?\n' | b'1/120\n' | b'Two letters picked without replacement from {g: 4, y: 7, s: 2, f: 2, w: 1}. What is prob of picking 2 f?\n' | b'1/120\n' | deepmind/math_dataset |
b'Let c(r) = r**3 + 20*r**2 - 154*r + 58. Let j be c(-26). Let n(v) = -v**2 + 5*v - 14. Determine n(j).\n' | b'-20\n' | b'Let c(r) = r**3 + 20*r**2 - 154*r + 58. Let j be c(-26). Let n(v) = -v**2 + 5*v - 14. Determine n(j).\n' | b'-20\n' | deepmind/math_dataset |
b'Let w(p) be the first derivative of 0*p**4 - 19/2*p**2 + 4 + 2/3*p**3 - 62/3*p**6 + 0*p**5 + 0*p. What is the third derivative of w(t) wrt t?\n' | b'-7440*t**2\n' | b'Let w(p) be the first derivative of 0*p**4 - 19/2*p**2 + 4 + 2/3*p**3 - 62/3*p**6 + 0*p**5 + 0*p. What is the third derivative of w(t) wrt t?\n' | b'-7440*t**2\n' | deepmind/math_dataset |
b'Let h be 3356/124 + ((-1880)/310 - -6). Solve 10 = -3*m + w, -2*m + 31*w = h*w for m.\n' | b'-4\n' | b'Let h be 3356/124 + ((-1880)/310 - -6). Solve 10 = -3*m + w, -2*m + 31*w = h*w for m.\n' | b'-4\n' | deepmind/math_dataset |
b'Two letters picked without replacement from vvvrvvrvvvvrvvrvvv. Give prob of picking 1 v and 1 r.\n' | b'56/153\n' | b'Two letters picked without replacement from vvvrvvrvvvvrvvrvvv. Give prob of picking 1 v and 1 r.\n' | b'56/153\n' | deepmind/math_dataset |
b'Simplify q*q**(-1/4)*q*q*q**2*q*q assuming q is positive.\n' | b'q**(27/4)\n' | b'Simplify q*q**(-1/4)*q*q*q**2*q*q assuming q is positive.\n' | b'q**(27/4)\n' | deepmind/math_dataset |
b'Suppose 4*z + b = -1 + 11, -z - 8 = -5*b. Let i(a) be the third derivative of -1/30*a**5 - 1/6*a**3 + 0*a + 2*a**z + 0 + 0*a**4. Calculate i(-1).\n' | b'-3\n' | b'Suppose 4*z + b = -1 + 11, -z - 8 = -5*b. Let i(a) be the third derivative of -1/30*a**5 - 1/6*a**3 + 0*a + 2*a**z + 0 + 0*a**4. Calculate i(-1).\n' | b'-3\n' | deepmind/math_dataset |
b'Let s(d) = 2*d - 4. Let b be s(3). Solve -14 = b*g + 4*q, 3*g = g + q + 11 for g.\n' | b'3\n' | b'Let s(d) = 2*d - 4. Let b be s(3). Solve -14 = b*g + 4*q, 3*g = g + q + 11 for g.\n' | b'3\n' | deepmind/math_dataset |
b'Simplify (n*n/(n/n**0))**(38/7)*(n/(n**7*n))/n**(-5) assuming n is positive.\n' | b'n**(24/7)\n' | b'Simplify (n*n/(n/n**0))**(38/7)*(n/(n**7*n))/n**(-5) assuming n is positive.\n' | b'n**(24/7)\n' | deepmind/math_dataset |
b'Let z(p) = p**3 - 20*p**2 - 23*p + 18. Let b be z(21). Let w = -20 - b. Suppose 3*h + h = 2*q - 8, w*q - 6 = -2*h. Solve q*m = a + 9, a + 4*m - 7 - 2 = 0 for a.\n' | b'-3\n' | b'Let z(p) = p**3 - 20*p**2 - 23*p + 18. Let b be z(21). Let w = -20 - b. Suppose 3*h + h = 2*q - 8, w*q - 6 = -2*h. Solve q*m = a + 9, a + 4*m - 7 - 2 = 0 for a.\n' | b'-3\n' | deepmind/math_dataset |
b'Simplify w**(3/7)*w/(w*(w**(-3/4)*w)/w*w)*w**(-11)*w/(w*w**(-3)*w*w) assuming w is positive.\n' | b'w**(-275/28)\n' | b'Simplify w**(3/7)*w/(w*(w**(-3/4)*w)/w*w)*w**(-11)*w/(w*w**(-3)*w*w) assuming w is positive.\n' | b'w**(-275/28)\n' | deepmind/math_dataset |
b'Three letters picked without replacement from aznzzzarnnp. What is prob of picking 2 a and 1 n?\n' | b'1/55\n' | b'Three letters picked without replacement from aznzzzarnnp. What is prob of picking 2 a and 1 n?\n' | b'1/55\n' | deepmind/math_dataset |
b'Suppose -4*z - 11 = -4*l - 5*l, -15 = -5*l. Solve -3*w - 3*b - 30 = 0, z*w + 12*b - 10*b = -30 for w.\n' | b'-5\n' | b'Suppose -4*z - 11 = -4*l - 5*l, -15 = -5*l. Solve -3*w - 3*b - 30 = 0, z*w + 12*b - 10*b = -30 for w.\n' | b'-5\n' | deepmind/math_dataset |
b'Two letters picked without replacement from {h: 3, f: 1, l: 9, r: 1}. What is prob of sequence hr?\n' | b'3/182\n' | b'Two letters picked without replacement from {h: 3, f: 1, l: 9, r: 1}. What is prob of sequence hr?\n' | b'3/182\n' | deepmind/math_dataset |
b'Simplify j/j**(4/3)*j*j**15*(j*j**(-24))/(j/(j/(j/(j**21/j))*j)*j) assuming j is positive.\n' | b'j**(35/3)\n' | b'Simplify j/j**(4/3)*j*j**15*(j*j**(-24))/(j/(j/(j/(j**21/j))*j)*j) assuming j is positive.\n' | b'j**(35/3)\n' | deepmind/math_dataset |
b'Two letters picked without replacement from hlltlyltk. What is prob of picking 2 t?\n' | b'1/36\n' | b'Two letters picked without replacement from hlltlyltk. What is prob of picking 2 t?\n' | b'1/36\n' | deepmind/math_dataset |
b'Suppose -3*h + 3*s - 10 = 14, -3*s = 4*h + 11. Let r(p) = p**2 + 6*p + 6. What is r(h)?\n' | b'1\n' | b'Suppose -3*h + 3*s - 10 = 14, -3*s = 4*h + 11. Let r(p) = p**2 + 6*p + 6. What is r(h)?\n' | b'1\n' | deepmind/math_dataset |
b'Let b(p) be the second derivative of p - p**2 + 0 - 2/3*p**3 + 1/24*p**4. Let o(i) be the first derivative of b(i). Determine o(2).\n' | b'-2\n' | b'Let b(p) be the second derivative of p - p**2 + 0 - 2/3*p**3 + 1/24*p**4. Let o(i) be the first derivative of b(i). Determine o(2).\n' | b'-2\n' | deepmind/math_dataset |
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