1/12*n**4. What is o in p(o) = 0?
-2, 0
Solve 6/5*x + 2*x**2 - 18/5 + 2/5*x**3 = 0 for x.
-3, 1
Let b(c) be the second derivative of 1/6*c**4 - c**2 - 1/3*c**3 + 29*c + 0 + 1/10*c**5. Factor b(m).
2*(m - 1)*(m + 1)**2
Let r(g) be the third derivative of 11/210*g**5 - 1/21*g**4 - 4/21*g**3 + 0 + 0*g - 3/245*g**7 + 1/70*g**6 + 18*g**2. Suppose r(c) = 0. Calculate c.
-2/3, 1
Let s(n) be the second derivative of -n**4/16 - 11*n**3/8 - 15*n**2/4 + 60*n. Determine y, given that s(y) = 0.
-10, -1
Let k(h) be the third derivative of -h**7/42 + 19*h**6/24 - 41*h**5/4 + 1525*h**4/24 - 500*h**3/3 + 331*h**2. What is m in k(m) = 0?
1, 5, 8
Let o(i) be the first derivative of 2*i**5/15 + 2*i**4/3 + 8*i**3/9 + 62. Factor o(p).
2*p**2*(p + 2)**2/3
Let 12 + 2/7*m**3 + 48/7*m**2 + 130/7*m = 0. What is m?
-21, -2, -1
Let q = 2 + 0. Let u be 4/(2 + (-6)/9). Find c, given that -6*c + u*c**2 - 2*c**q + 5*c + 2*c**3 = 0.
-1, 0, 1/2
Factor 2/3*n**4 + 0*n - 32/3*n**2 + 0 + 10*n**3.
2*n**2*(n - 1)*(n + 16)/3
Let x(n) be the third derivative of -n**6/20 - 28*n**5/15 + 19*n**4/12 - 2*n**2 + 40. Factor x(b).
-2*b*(b + 19)*(3*b - 1)
Let w(z) be the third derivative of z**8/1344 + z**7/210 + z**6/480 - z**5/24 - z**4/24 + z**3/3 + 74*z**2 + 2*z. Solve w(y) = 0 for y.
-2, 1
Let a(v) be the first derivative of v**6/60 - v**5/6 + 2*v**4/3 - 4*v**3/3 - 33*v**2/2 - 5. Let i(y) be the second derivative of a(y). Factor i(w).
2*(w - 2)**2*(w - 1)
Let -8/15*d**5 + 0*d - 238/15*d**3 + 0 - 52/15*d**2 - 122/15*d**4 = 0. Calculate d.
-13, -2, -1/4, 0
Let b(k) be the third derivative of 0*k**4 + 1/63*k**7 + 1/180*k**5 + 0 + 0*k + 13/720*k**6 + 18*k**2 + 0*k**3 + 1/224*k**8. Factor b(y).
y**2*(y + 1)**2*(9*y + 2)/6
Factor -188/3 - 2/3*z**2 - 98/3*z.
-2*(z + 2)*(z + 47)/3
Let l(j) be the third derivative of -j**6/180 - j**5/6 + j**4/2 + 32*j**3/9 - 46*j**2 + j. Suppose l(w) = 0. Calculate w.
-16, -1, 2
Let c(x) = -x - 2. Let b be c(-5). Suppose b*d + 2 = 4*d. Factor 12*q**3 - 2*q**3 + 4*q**d - 10*q + 2 - 6.
2*(q - 1)*(q + 1)*(5*q + 2)
Let y be 27496/(-147) - (-2)/(-3). Let p = y - -188. Let 2/7 - p*n + 2/7*n**3 - 2/7*n**2 = 0. Calculate n.
-1, 1
Suppose 0 = -t + 3*a - 10, 0 = 4*t + 219*a - 214*a - 45. Let 0 + 6/11*x**4 - 2/11*x**t - 2/11*x**3 + 4/11*x - 6/11*x**2 = 0. What is x?
-1, 0, 1, 2
Let o(v) be the first derivative of 72/5*v**5 - 16/3*v**3 + 0*v + 3*v**4 - 2*v**2 + 5. Solve o(a) = 0.
-1/3, 0, 1/2
Let s = 15 + -5. Let k be s/(-4) - 12/(-8). Let o(r) = -9*r**2 - 11*r - 17. Let d(u) = -u**2 + u - 1. Let i(p) = k*o(p) + 5*d(p). Factor i(c).
4*(c + 1)*(c + 3)
Let s be 6/(-15) + (-17)/(-5). Suppose -r - 1 = -s*h, h + r = -r - 2. Factor h + 2/11*q + 2/11*q**2.
2*q*(q + 1)/11
Let n(p) = 4*p**2 - 12*p - 8. Let i be n(7). Let j be (-2)/12 + i/336. Determine k so that -1/7*k + j*k**3 - 3/7*k**2 + 1/7 + 2/7*k**4 = 0.
-1, 1/2, 1
Let v(g) be the first derivative of -2*g**3/15 - 127*g**2/5 + 41. Factor v(h).
-2*h*(h + 127)/5
Let i = -8 + 16. Let q be ((i/(-7))/4)/(2/(-16)). Suppose 3/7*c**5 - 4/7 - 3*c**2 - c**3 - q*c + 5/7*c**4 = 0. What is c?
-1, -2/3, 2
Let j(t) be the first derivative of -15 - t**4 - 32/3*t**3 - 72*t - 42*t**2. Factor j(p).
-4*(p + 2)*(p + 3)**2
Let h be 130/(-35) + 4 + (-173)/(-7). Let w be 45/h - 2 - (-11)/5. Determine l so that 0 + 6/7*l**3 + 2/7*l**5 - 6/7*l**4 - 2/7*l**w + 0*l = 0.
0, 1
Determine w, given that -2/5*w**5 + 266/5*w**4 + 31590*w**2 + 0 - 2322*w**3 + 72900*w = 0.
-2, 0, 45
Let v(w) be the third derivative of w**9/2160 - w**8/315 + w**7/315 + w**5/4 - 23*w**2. Let g(i) be the third derivative of v(i). Factor g(d).
4*d*(d - 2)*(7*d - 2)
Let u(y) be the first derivative of -y**6/2 + 9*y**5/5 + 3*y**4/4 - 3*y**3 - 8. Suppose u(j) = 0. Calculate j.
-1, 0, 1, 3
Let m be (210/20)/((-1)/2). Let g = 47/2 + m. Find a such that 0 + 5/2*a**4 - g*a**2 - a**3 + a = 0.
-1, 0, 2/5, 1
Let p(i) = -i + 6. Let m be p(7). Let w(d) = -3 + 55*d + 59*d - 113*d + 2. Let u(o) = 12*o**2 + 3*o - 6. Let y(f) = m*u(f) + 6*w(f). Factor y(b).
-3*b*(4*b - 1)
Let u(i) be the third derivative of i**5/40 + i**4/4 - 5*i**3/4 - 361*i**2. Factor u(w).
3*(w - 1)*(w + 5)/2
Solve -3*n**3 - 102/7*n**2 - 60/7 - 141/7*n = 0.
-20/7, -1
Factor 5/2*y**2 + 0*y - 5/2.
5*(y - 1)*(y + 1)/2
Suppose -3095*l - 15 = -3098*l. Factor -1/8*z**2 - 3/8*z**l + 0 - 1/8*z**3 + 0*z + 5/8*z**4.
-z**2*(z - 1)**2*(3*z + 1)/8
Suppose k - 16 = -3*v, 26 = -2*v + 12*k - 9*k. Determine m so that -2/11*m**v + 0 - 4/11*m = 0.
-2, 0
Let b = -48 - -338/7. Determine j, given that 6/7*j + 4/7*j**2 + b = 0.
-1, -1/2
Let b(c) = 11*c + 47. Let r be b(-4). Let v(d) be the third derivative of -4*d**2 + 0 + 0*d**4 + 0*d + 0*d**r - 1/36*d**6 + 1/45*d**5. Factor v(w).
-2*w**2*(5*w - 2)/3
Find a, given that -16*a - 46128 - 10*a**2 + 7*a**2 + 176*a + 584*a = 0.
124
Let t(v) be the second derivative of v**5/5 - 2*v**4/3 - 8*v**3/3 + 16*v**2 - 29*v. Let t(b) = 0. What is b?
-2, 2
Let v(o) be the third derivative of 7*o**2 - 5/96*o**4 + 0 + 1/96*o**6 - 1/24*o**5 + 0*o + 5/12*o**3. Find w such that v(w) = 0.
-1, 1, 2
Let f be 64/112*((-2)/7)/(84/(-147)). Factor -2/7*z**2 + 0*z + 0 + f*z**4 + 2/7*z**3 - 2/7*z**5.
-2*z**2*(z - 1)**2*(z + 1)/7
Find k, given that -2127*k + 60*k**3 + 2127*k - 32*k**2 - 24*k**4 - 4*k**5 = 0.
-8, 0, 1
Let k = 22 - 17. Suppose k*v - 14 - 6 = 0. Let 118 + v*d**4 - 118 + 4*d**3 - 8*d**2 = 0. Calculate d.
-2, 0, 1
Suppose 2*a - 5*a - 131*a**2 + 134*a**2 = 0. Calculate a.
0, 1
Let o(s) be the first derivative of -1/12*s**4 - 3 + 0*s + 5*s**2 - 1/60*s**5 - 1/6*s**3. Let p(j) be the second derivative of o(j). Let p(x) = 0. Calculate x.
-1
Determine o, given that -9/8*o**3 + 0 - 1/4*o - 9/8*o**2 + 3/8*o**5 + 1/8*o**4 = 0.
-1, -1/3, 0, 2
Let y be (-1 - -2) + (-16)/((-160)/30). Let b(g) be the second derivative of 1/2*g**2 + 1/4*g**3 + 1/24*g**y + 5*g + 0. Factor b(u).
(u + 1)*(u + 2)/2
Let r(t) = 5*t - 6*t - 5*t + 5*t + 5. Let l be r(3). Factor 14/13*y**l + 8/13*y - 6/13.
2*(y + 1)*(7*y - 3)/13
Suppose m + 2*i = -2, m - 6*m - 5*i - 5 = 0. Suppose 4*k - 5*l - 105 = -0*l, -3*k + 3*l + 75 = m. Factor 0*x**3 + 4*x**3 - k*x**2 - 12 + 27*x + x.
4*(x - 3)*(x - 1)**2
Let f = 128 - 32. Factor -5*r**4 - 16*r + f*r**3 - 84*r**3 + r**4.
-4*r*(r - 2)**2*(r + 1)
Suppose -5*g = -4*r + 52, 4*r + 3702*g = 3703*g + 20. Factor 1/7*c**r - 1/7*c**2 - 6/7*c + 0.
c*(c - 3)*(c + 2)/7
Let z(k) be the first derivative of -3*k**4/14 + 4*k**3/21 + k**2/7 - 139. Find m, given that z(m) = 0.
-1/3, 0, 1
Solve -4/3*x**2 + 40/3 + 12*x = 0 for x.
-1, 10
Let l be 5/((-30)/24)*(-21)/168. Solve -5/2*k - l*k**2 - 2 = 0 for k.
-4, -1
Let l(m) = 7*m**3 - 12*m**2 + 2*m + 2. Let x be l(0). Find k such that 9/7*k**3 - 3/7*k**x - 24/7*k - 12/7 = 0.
-1, -2/3, 2
Let r(k) = 27*k**2 + 177*k + 120. Let p(m) = -102*m - 60 + 29*m - 16*m - 14*m**2. Let v(g) = 13*p(g) + 6*r(g). Factor v(l).
-5*(l + 4)*(4*l + 3)
Let n be (127753244/1802)/(10892/(-32)). Let l = -2/350489 - n. Solve -16/7 + 216/7*k - 972/7*k**2 + l*k**3 = 0 for k.
2/9
Let n(o) be the third derivative of -o**6/180 + 7*o**4/36 + 2*o**3/3 + 404*o**2. Let n(z) = 0. Calculate z.
-2, -1, 3
Let o = 116087/5 + -23217. Factor -8/5*n - 24/5 + o*n**2.
2*(n - 6)*(n + 2)/5
Let k(s) = 5*s**4 - 18*s**3 + 13*s**2 - 3*s + 6. Let g(i) = 60*i**4 - 215*i**3 + 155*i**2 - 35*i + 70. Let n(a) = 3*g(a) - 35*k(a). Factor n(d).
5*d**2*(d - 2)*(d - 1)
Suppose 14*x - 144 - 66 = 0. Let r be 13/(-39)*(-18)/x. Factor -1/5*i**3 + 4/5*i - 8/5 + r*i**2.
-(i - 2)**2*(i + 2)/5
Let z(o) be the third derivative of o**7/7560 - o**5/90 - 35*o**4/24 + 18*o**2. Let n(d) be the second derivative of z(d). Solve n(k) = 0.
-2, 2
Factor 11/4*o**2 + 3/4*o**3 + 1 + 3*o.
(o + 1)*(o + 2)*(3*o + 2)/4
Find t such that -t**3 + 181*t**2 + 137*t**2 - 348*t - 3*t**3 - 242*t**2 + 468 = 0.
3, 13
Let h(f) be the third derivative of f**5/75 + 3*f**4/10 - 24*f**3/5 + 268*f**2. Factor h(y).
4*(y - 3)*(y + 12)/5
Let h(k) = -k**2 + 2*k + 5. Let s be h(0). Suppose 11 = -5*d + 26. Factor 0 + 1/3*f + 2/3*f**4 - 1/3*f**s + 0*f**d - 2/3*f**2.
-f*(f - 1)**3*(f + 1)/3
Suppose r = 6 - 1. Suppose 0*x = -5*x, -r*u + 5*x = -25. Factor -2*j**4 - u*j**3 + j**3 - 5*j**2 + 5*j**2 + 2 + 4*j.
-2*(j - 1)*(j + 1)**3
Let j be 2/(-4) - (-82)/164. Let s(z) be the first derivative of j*z**2 + 1/25*z*