g**2 - 2/15*g**5. Factor i(c).
c*(c - 1)**3*(c + 1)/3
Let r(g) be the second derivative of -1/135*g**6 + 0 + 0*g**3 + 1/9*g**4 - 15*g + 0*g**2 - 1/18*g**5. Determine w so that r(w) = 0.
-6, 0, 1
Let k = 154/3 + -6157/120. Let p(h) be the third derivative of -1/20*h**5 + 0*h - k*h**6 + 0 - 3*h**2 + 0*h**3 + 0*h**4. Factor p(s).
-3*s**2*(s + 1)
Let g be (-4 - -4)*2/2. Factor 3*k + k**5 - 5*k + g*k**3 + 5*k**2 - k**4 - 9*k**3 + 6*k**3.
k*(k - 1)**3*(k + 2)
Let v(g) = -40*g**3 - 345*g**2 + 505*g + 5760. Let o(b) = 5*b**3 + 43*b**2 - 63*b - 720. Let t(j) = 25*o(j) + 3*v(j). Suppose t(y) = 0. Calculate y.
-6, 4
Find s, given that 268*s**2 - 16*s**4 + 23*s**3 + 149*s**3 - 1073 + 977 - 328*s = 0.
-2, -1/4, 1, 12
Let j = -1030 + 1032. Factor -1/3*b**j - 2/3*b + 0.
-b*(b + 2)/3
Let r be (-325)/375 - (-1 - 0). Determine w, given that -4/15*w + r*w**2 + 2/15 = 0.
1
Let r(t) = -6*t**2 + 8*t + 12. Let m(x) = -11*x**2 + 15*x + 25. Let b(p) = -4*m(p) + 7*r(p). Factor b(u).
2*(u - 4)*(u + 2)
Let k(r) = 2*r**3 - r**2 - r + 1. Let j(n) = -10*n**4 - 95*n**3 + 175*n**2 - 10*n - 55. Let t(b) = -j(b) + 5*k(b). Suppose t(f) = 0. What is f?
-12, -1/2, 1
Suppose 2*w - 863 = 145. Suppose w = -6*u + 10*u. Suppose -u*y**4 - 120*y**2 + 28*y**3 - 38*y - 10 - 27*y + 106*y**4 - 113*y**3 = 0. Calculate y.
-2, -1, -1/4
Let y(d) = d**2 - d. Let i(u) = u**3 + 2*u**2 - u + 1. Let z be i(2). Let n(o) = 4*o**3 + 43 - z*o**2 - o**3 - 31. Let b(l) = n(l) + 3*y(l). Factor b(f).
3*(f - 4)*(f - 1)*(f + 1)
Solve 10/3*y**4 + 32/3 - 1/3*y**5 - 80/3*y - 40/3*y**3 + 80/3*y**2 = 0.
2
Let z(i) be the second derivative of i**4/6 - 2*i**3/3 - i + 34. Factor z(h).
2*h*(h - 2)
Let z(b) be the third derivative of 15*b**8/112 - 107*b**7/210 - 2*b**6/3 + 14*b**5/5 + 14*b**4/3 + 8*b**3/3 + 35*b**2 - 1. Determine j so that z(j) = 0.
-1, -2/5, -2/9, 2
Let r be (3/(-15))/((-2)/(-4)) - 385/(-525). Let -r*s + 1/3*s**2 - 2/3 = 0. What is s?
-1, 2
What is w in 1/9*w**4 + 50/9*w - 625/9 - 50/9*w**3 + 208/3*w**2 = 0?
-1, 1, 25
Let g(z) be the second derivative of -z**5/10 + 23*z**4/2 - 529*z**3 + 12167*z**2 + 25*z. Factor g(n).
-2*(n - 23)**3
Let a(p) = 9*p**2 - 121*p + 217. Let d(h) = -2*h**2 + 29*h - 54. Let v(m) = -6*a(m) - 26*d(m). Factor v(l).
-2*(l - 3)*(l + 17)
Suppose 32 = -6894*c + 6910*c. Suppose 0 + 0*l + 2/5*l**c = 0. What is l?
0
Factor 2294*g**2 + 4*g - 8*g + 10*g - 7 - 2293*g**2.
(g - 1)*(g + 7)
Let x be 190/(-285) + 19*2/12. Factor -5*v**3 + 5/2*v + x*v**5 + 5/2 - 5*v**2 + 5/2*v**4.
5*(v - 1)**2*(v + 1)**3/2
Suppose 3*w - 4*n - 5 = 5, -5*w + 11 = -n. Let 2*i**2 + i**2 + 12*i - i**w + 18 = 0. Calculate i.
-3
Let f(j) = j - 1. Let t be f(5). Let q(k) be the third derivative of -2*k**2 - 3/8*k**t + k**3 + 0*k + 0 + 1/40*k**6 + 0*k**5. Solve q(n) = 0 for n.
-2, 1
Let f(v) be the second derivative of v**6/360 + v**5/36 - v**4/72 - 5*v**3/18 - 4*v**2 + 2*v. Let o(p) be the first derivative of f(p). Factor o(c).
(c - 1)*(c + 1)*(c + 5)/3
Let q = 709/2988 - 5/332. Let 8/9*r**2 - 4/9 - q*r + 2/3*r**3 = 0. Calculate r.
-1, 2/3
Let a(h) be the second derivative of h**6/80 + h**5/8 + 17*h**2/2 + 31*h. Let w(y) be the first derivative of a(y). Factor w(z).
3*z**2*(z + 5)/2
Let v(p) be the first derivative of 3*p**2 - 27 - 9*p - 1/3*p**3. Let v(y) = 0. Calculate y.
3
Let u be (1 - 7) + 246/38*84/63. Factor u + 2/19*q**2 - 20/19*q.
2*(q - 5)**2/19
Let j(y) be the third derivative of -y**6/600 - y**5/150 + y**4/40 - 278*y**2. Suppose j(c) = 0. What is c?
-3, 0, 1
Suppose -21 = -8*n - 5. Solve -403*z**2 + 4*z**3 + 199*z**n + 236*z**2 = 0 for z.
-8, 0
Let y(t) be the second derivative of t**4/60 - t**3/15 - 3*t**2/2 - 124*t. Solve y(p) = 0 for p.
-3, 5
Let s = 40381 + -40285. Suppose s*u + 6*u**2 + 512 + 1/8*u**3 = 0. What is u?
-16
Let z(l) be the third derivative of 32*l**2 + 0*l**3 + 19/45*l**5 + 0*l - 1/18*l**4 + 0 - 361/360*l**6. Factor z(h).
-h*(19*h - 2)**2/3
Let k = -957 + 961. Let o(p) be the first derivative of 5 - 8/3*p**3 - 2*p**2 + k*p + 2*p**4 + 4/5*p**5 - 2/3*p**6. Suppose o(i) = 0. What is i?
-1, 1
Let m be 396 + -397 + ((-4)/14 - (-195)/70). Find o, given that -3*o**2 + 9/2*o**3 + 6*o**4 + 0 - m*o - 6*o**5 = 0.
-1/2, 0, 1
Let n be -26 - 1870/(-44) - (8 + 1). Determine f, given that -27/2*f**3 - n*f**2 - 2/3 + 16/3*f = 0.
-1, 2/9
Let s(l) = -l**2 + 14*l - 29. Let f be s(11). Factor -18*a**5 + 43*a**5 - 2*a**f - 23*a**5.
2*a**4*(a - 1)
Let q(i) = -2*i**4 - 6*i**3 - 11*i**2 - 7*i - 5. Let j(y) = 2*y**4 + 6*y**3 + 12*y**2 + 8*y + 6. Let c(u) = -5*j(u) - 6*q(u). Solve c(a) = 0.
-1, 0
Solve -56*i**2 + 62*i**3 - 16*i**3 - 2*i**4 - 42 - 34 - 66*i**2 - 40*i**2 + 194*i = 0 for i.
1, 2, 19
Let l(k) be the first derivative of -k**3 + 21*k**2/2 - 255. Factor l(q).
-3*q*(q - 7)
Let g(h) be the third derivative of h**9/4536 - h**7/1260 + 5*h**3/6 + 12*h**2. Let l(n) be the first derivative of g(n). Solve l(k) = 0 for k.
-1, 0, 1
Suppose 2*c + 16 = 26. Let o(q) be the third derivative of 1/3*q**3 + 0 - 1/60*q**6 - 1/4*q**4 + 4*q**2 + 0*q + 1/10*q**c. Factor o(u).
-2*(u - 1)**3
Suppose 80 = 8*y + r + 54, 0 = 4*r - 8. Factor -4/7*m + 2/7 - 2/7*m**4 + 4/7*m**y + 0*m**2.
-2*(m - 1)**3*(m + 1)/7
What is t in 32 + 3*t**3 + 9*t**4 - 15*t**2 - 12 - 3*t - 14 = 0?
-1, 2/3, 1
Let k(m) be the third derivative of -m**6/24 + 3*m**5/4 - 78*m**2. Suppose k(u) = 0. What is u?
0, 9
Factor -40*d**2 + 3*d**4 + 3*d**4 + 4*d**4 - d**5 - 20*d**3 + 6*d**5.
5*d**2*(d - 2)*(d + 2)**2
Determine s so that 56/19 - 24/19*s - 2/19*s**2 = 0.
-14, 2
Suppose 17*d = 15*d - 18. Let p be d/(-6)*(-4 + 6). Let -k**3 + 6*k**2 - 2 - 4 - 3*k - 9*k**p + 13*k**3 = 0. What is k?
-2, -1, 1
Let p(j) be the second derivative of j**4/12 + 79*j**3/6 - 40*j**2 - 88*j - 2. Let p(y) = 0. What is y?
-80, 1
Suppose -3*n + 4 - 8 = 4*j, 0 = 2*n + 8. Factor -3*s**5 - 7*s**2 + 6*s**3 + 13*s**2 + s**5 - j*s**2.
-2*s**2*(s - 2)*(s + 1)**2
Suppose -n - 4 = -2*l, 2 = 5*n - 3*l + 1. Let w be 9 - (-1328)/(-104) - (-10)/n. Factor 2/13*t**5 + 2/13*t**2 - 2/13*t**4 + w*t - 10/13*t**3 + 8/13.
2*(t - 2)**2*(t + 1)**3/13
Let x be (-2)/6 - (2 - (-31)/48*-4). Factor -1/8*m - x*m**4 + 0 + 0*m**3 + 1/8*m**5 + 1/4*m**2.
m*(m - 1)**3*(m + 1)/8
Suppose -4*b + 36 = -4*d, 3 = 8*b - 10*b - d. Suppose 0 + v + 17/2*v**b + 20*v**3 + 8*v**4 = 0. Calculate v.
-2, -1/4, 0
Suppose -47*j + 49*j = 4. Let h(q) = 2*q**2 - 4*q. Let m be h(j). Factor 2/5*o**3 + m + 4/5*o**2 + 2/5*o.
2*o*(o + 1)**2/5
Suppose 50 = 5*w - 30*w. Let h(f) = -2*f**3 + 2*f**2 + 4*f. Let a(l) = 0*l**2 + 3*l**3 - 5*l**3 + 5*l + 1 + 2*l**2. Let x(g) = w*a(g) + 3*h(g). Solve x(u) = 0.
-1, 1
Let z = 48/101 + -518/1515. Factor -8/15*u + 2/3 - z*u**2.
-2*(u - 1)*(u + 5)/15
Factor 314*q**3 + 5*q**4 - 5*q**2 + 310*q**3 - 942*q**3 + 313*q**3 + 5*q.
5*q*(q - 1)**2*(q + 1)
Let t = -3/5 - -66/35. Suppose 6/7 + 3/7*d**2 - t*d = 0. What is d?
1, 2
Factor -1 - 3*u**2 + 0 + 0 - 8 + 12*u.
-3*(u - 3)*(u - 1)
Suppose -10*r + 12*r - 4 = 0. Factor -5*m**r - 4*m + m + 2*m**2.
-3*m*(m + 1)
Factor -2*p**3 + 4/5*p**2 + 0 + 2/5*p**4 + 16/5*p.
2*p*(p - 4)*(p - 2)*(p + 1)/5
Let g(m) be the first derivative of 5*m**3/3 - 145*m**2 + 4205*m + 61. Factor g(o).
5*(o - 29)**2
Let d(k) = -k + 14. Let s be d(12). Solve -8 + 3*j**3 - j**2 + 2*j**3 - 19*j**s + 25*j - 2 = 0.
1, 2
Let c = 25 - 55. Let k be c/(-40)*(-16)/(-78). What is w in -18/13 + 12/13*w - k*w**2 = 0?
3
Let b = 13 - 11. Let d be 25 + 5/(10/(-8)). Factor -d + 21 - 3*m**4 + 3*m**b.
-3*m**2*(m - 1)*(m + 1)
Let j = -396 - -383. Let n(h) = 2*h**2 + 2*h - 13. Let m(o) = 5 + o**2 - o - 2*o**2 + 1. Let q(x) = j*m(x) - 6*n(x). Solve q(i) = 0 for i.
-1, 0
Let r(y) be the second derivative of -y**5/110 + 5*y**4/66 - 31*y + 7. Solve r(c) = 0.
0, 5
Let r(u) be the third derivative of u**5/510 - 5*u**4/102 + 25*u**3/51 - 3*u**2 - 3. Factor r(n).
2*(n - 5)**2/17
Let r be 8*3*(-15)/(-20). Let n = -13 + r. Determine l, given that -7*l**4 + 7*l**4 - l**n = 0.
0
Let w(t) = 3*t - 3. Let h be w(2). Let r = 10 + -7. Find o such that -r*o**2 + 3*o + 3 - 3*o + h - 3*o = 0.
-2, 1
Suppose 0*z - 2*z + 3*r = -162, 67 = z + 2*r. Factor -12 + 85*q - 18 + 3*q**4 + 15*q**3 + 2*q**4 - z*q**2.
5*(q - 1)**3*(q + 6)
Let s(b) be the third derivative of 0 + 0*b + 11*b**2 - 1/15*b**5 - 1/90*b**6 + 0*b**4 - 1/2*b**3. Let c(h) be the f