-9/4*w**4 + 0 - 1/4*w**5 - 5*w**2 + 0*w - 6*w**3.
-w**2*(w + 2)**2*(w + 5)/4
Let r(a) = -39*a**4 - 84*a**3 + 21*a**2 + 270*a. Let c(v) = -8*v**4 - 17*v**3 + 4*v**2 + 54*v. Let d(q) = 24*c(q) - 5*r(q). Factor d(u).
3*u*(u - 2)*(u + 3)**2
Suppose -y - 2*y + q = -11, 3*y + 5*q - 17 = 0. Let u be y/(-10) + 0 + 44/10. Determine m, given that -2/5*m**5 + 0*m**u + 0 + 4/5*m**3 - 2/5*m + 0*m**2 = 0.
-1, 0, 1
Find m such that 3 + 57*m - 2*m**2 + m**3 - 58*m - 1 = 0.
-1, 1, 2
Let f(v) be the third derivative of -17*v + 3*v**3 + 0 - 1/80*v**6 - 3/10*v**5 + 2*v**2 + 1/16*v**4. Factor f(r).
-3*(r - 1)*(r + 1)*(r + 12)/2
Find g such that 30*g - 4*g**2 + g**2 + 0*g**2 = 0.
0, 10
Determine c, given that -19/2*c - 15 + 1/2*c**3 + 0*c**2 = 0.
-3, -2, 5
Suppose -i + 4*b = -11, -3*i - 2*b + 2 = -i. Suppose 4*k = 5*o + 81, i*k - 5*o - 23 = 44. Let -3 + 1 + 2 - k*p**2 - 4*p = 0. Calculate p.
-2/7, 0
Suppose 9*s - 20*s = 0. Let v(d) be the third derivative of -1/240*d**6 + 0*d**4 + 2*d**2 + 0 + s*d**5 + 0*d + 0*d**3. Find f such that v(f) = 0.
0
Find j, given that 2*j**2 - 365 - 152*j + 697 + 2105 + 451 = 0.
38
Let v(i) be the third derivative of 1/3*i**4 + 0 + 0*i + 0*i**3 + 20*i**2 - 1/5*i**5 + 1/30*i**6. Find w, given that v(w) = 0.
0, 1, 2
Solve 23/10*x**2 - 7/10*x**3 + 2/5 - 2*x = 0 for x.
2/7, 1, 2
Let b(d) be the third derivative of d**5/30 + 4*d**4 + 192*d**3 + 50*d**2. Factor b(w).
2*(w + 24)**2
Factor 36*r**4 - 685*r + 165*r**3 - 1385*r - 33*r**4 + 2184*r**2 - 328*r + 46*r.
3*r*(r - 1)*(r + 28)**2
Suppose 31*m = 8*m - 3956. Let o = -169 - m. Factor 0*f - 2/5*f**4 - 4/5*f**2 - 6/5*f**o + 0.
-2*f**2*(f + 1)*(f + 2)/5
Let v(t) be the second derivative of -t**5/20 - 7*t**4/12 - t**3 + 31*t. Let o be v(-6). Factor o*u - 2/13*u**3 + 2/13*u**2 - 2/13*u**4 + 2/13*u**5 + 0.
2*u**2*(u - 1)**2*(u + 1)/13
Let k(b) = -10*b**5 - 12*b**4 - 22*b**3 - 4*b**2 + 24*b + 24. Let t(a) = a**5 - 1. Let r(p) = -k(p) - 8*t(p). Factor r(n).
2*(n - 1)*(n + 1)*(n + 2)**3
Factor 24/7*i**2 - 1/7*i**3 + 26/7 + 51/7*i.
-(i - 26)*(i + 1)**2/7
Let c(d) be the second derivative of 0 - 1/6*d**4 + 4/3*d**3 + 14*d - 4*d**2. Factor c(g).
-2*(g - 2)**2
Let u(l) = -l**3 + 3*l**2 + 5*l - 2. Let p be u(4). Find n such that p*n + 4*n + 5*n**2 + 4*n = 0.
-2, 0
Suppose -195 = -56*t - 83. Let w(l) be the second derivative of -1/24*l**4 + 1/2*l**3 + 4*l - 9/4*l**t + 0. Factor w(n).
-(n - 3)**2/2
Let s = -7/295 - -6223/1180. Determine u so that -9/4*u**2 - 3 + s*u = 0.
1, 4/3
Let g(t) be the third derivative of -t**8/3360 + t**6/90 - 7*t**4/8 + 11*t**2. Let n(u) be the second derivative of g(u). Factor n(a).
-2*a*(a - 2)*(a + 2)
Let v = 1817 - 1815. Solve -v*g + 1/2*g**2 + 3/2 = 0 for g.
1, 3
Find g such that 5*g**3 + 3 - 45*g - 2*g**2 - 4*g**2 - 9*g**2 - 7 - 21 = 0.
-1, 5
Factor -2*x**2 - 180/7 - 634/7*x.
-2*(x + 45)*(7*x + 2)/7
Let i(v) be the second derivative of v**5/140 + 5*v**4/28 - v**3/42 - 15*v**2/14 - 171*v. Factor i(z).
(z - 1)*(z + 1)*(z + 15)/7
Let a(r) = 5*r**2 + 159*r - 30. Let s be a(-32). Let j(o) be the first derivative of -3/4*o**4 + 0*o + 7 + 0*o**s + 0*o**3. Solve j(h) = 0.
0
What is u in -153/2*u + 3*u**3 + 135/2 - 3/8*u**4 + 51/8*u**2 = 0?
-5, 1, 6
Let -4 + 6/5*a + 12/5*a**2 + 2/5*a**3 = 0. What is a?
-5, -2, 1
Let m = 439 - 439. Let r(d) be the third derivative of 0*d**3 + 0 + m*d - 1/40*d**6 + 0*d**4 + 1/70*d**7 + 0*d**5 - 7*d**2. Factor r(s).
3*s**3*(s - 1)
Let r(l) be the third derivative of -1/24*l**4 + 0*l - 1/2*l**3 + 1/120*l**6 + 0 - 17*l**2 + 1/20*l**5. Find o such that r(o) = 0.
-3, -1, 1
Factor 10/3 - 56/3*s**3 - 16/3*s**2 + 26/3*s.
-2*(2*s + 1)**2*(7*s - 5)/3
Let d(w) be the second derivative of -w**5/100 + w**4/10 + 72*w. Factor d(j).
-j**2*(j - 6)/5
Let h(y) = -17*y**2 - 35*y - 26. Let l(s) = 6*s**2 + 12*s + 9. Suppose 39 - 12 = 9*p. Let j(u) = p*h(u) + 8*l(u). Factor j(t).
-3*(t + 1)*(t + 2)
Let q(b) be the second derivative of 0*b**5 + 0 + 0*b**3 + 2/15*b**6 + 0*b**2 + 0*b**4 - 2/21*b**7 + 7*b. Factor q(o).
-4*o**4*(o - 1)
Let o(w) = -4820*w**3 - 9230*w**2 + 758*w + 2. Let p(u) = u**3 + u**2 + u - 1. Let z(b) = 2*o(b) + 36*p(b). Suppose z(d) = 0. What is d?
-2, 2/49
Let b(k) = 2 + 67*k**2 + 64*k**2 + 6*k**3 - 6*k**5 - 125*k**2 - 4*k**4. Let p(q) = q**5 - q**3 - q**2 - 1. Let t(v) = b(v) + 2*p(v). Factor t(o).
-4*o**2*(o - 1)*(o + 1)**2
Let v(w) be the first derivative of 3*w**4/4 + 53*w**3 - 336*w**2 + 684*w + 599. Let v(a) = 0. What is a?
-57, 2
Suppose 6*c - 4*c = 288. Solve 83*j**2 + 2 + 14 + 241*j**2 + c*j = 0 for j.
-2/9
Let k(w) be the third derivative of -w**8/112 - 29*w**7/210 - 7*w**6/20 - 4*w**5/15 + 335*w**2. Solve k(o) = 0.
-8, -1, -2/3, 0
Let g = -72 + 45. Let n = g + 82/3. Suppose n*j**2 + 0 + 0*j = 0. What is j?
0
Let f = -2805 + 19637/7. Factor -f*t**4 + 2/7*t - 2/7*t**3 + 2/7*t**2 + 0.
-2*t*(t - 1)*(t + 1)**2/7
Let c be ((-1)/(-2 - -1))/(12/60). Factor -3*s + 19 + s**2 + c*s - 22.
(s - 1)*(s + 3)
Suppose j - 1 = -0*j, -4*n + 3*j + 5 = 0. Suppose n*l - 4 = l. Factor -5*v - 6*v**2 - 17 + 13 - 3*v + 8*v**3 - 2*v**l + 12.
-2*(v - 2)**2*(v - 1)*(v + 1)
Let n(g) be the second derivative of 2*g**2 + 2/15*g**6 + 18*g + 2/5*g**5 - 2/3*g**3 - 2/3*g**4 - 2/21*g**7 + 0. Factor n(p).
-4*(p - 1)**3*(p + 1)**2
Let p(z) = 157*z + 6751. Let s be p(-43). Let 4/7*k**3 + 0*k**4 + 0*k + s*k**2 - 4/7*k**5 + 0 = 0. What is k?
-1, 0, 1
Suppose 39 - 3 = 4*q. Factor 7*d + 3*d**3 + 18*d**2 - q*d - 6*d**2 - 13*d.
3*d*(d - 1)*(d + 5)
Factor 25 - 24*j**2 + 3*j**2 - 31*j**2 + 128*j - 8*j**3 - 126 + 33.
-4*(j - 1)**2*(2*j + 17)
Let y = 37 + -32. Let z(w) = 7*w**2 + y + 8*w**2 + 15*w + 10*w. Let j(q) = -8*q**2 - 13*q - 2. Let k(r) = 5*j(r) + 3*z(r). What is x in k(x) = 0?
-1
Let z = 6 + -3. Suppose 12 = z*m - 0*m. Factor -9*k**2 - 4*k**4 + 4*k**4 - 4*k**3 + m*k**4 + k**2.
4*k**2*(k - 2)*(k + 1)
Let g(y) be the second derivative of -y**5/240 - y**4/144 + y**3/72 + y**2/24 + 3*y + 29. Factor g(j).
-(j - 1)*(j + 1)**2/12
Let g = -71 + 73. Determine w, given that -5*w**g + w**3 + w**2 + 4 + 3*w**3 - 4*w = 0.
-1, 1
Let b be 131/18 - (-6 - 208/(-36)). Determine h, given that 15/2*h**2 - 15/2*h + b*h**4 - 5 + 35/2*h**3 = 0.
-1, 2/3
Let a(b) = -b**3 + 9*b**2 + 43*b - 397. Let p be a(7). Factor -2/5 - 4/5*l + 2/5*l**p + 4/5*l**3.
2*(l - 1)*(l + 1)*(2*l + 1)/5
Let i(y) = -y**3 + 5*y**2 - 4*y + 9. Let u be i(4). Factor -21*r + 44*r - 29*r - 3*r**3 + u*r**2.
-3*r*(r - 2)*(r - 1)
Factor -5/3*u**2 - 1/3*u**4 + 0 + 2/3*u + 4/3*u**3.
-u*(u - 2)*(u - 1)**2/3
Let g(t) = 420*t**3 + 5060*t**2 + 3215*t - 1355. Let w(y) = -35*y**3 - 422*y**2 - 268*y + 113. Let f(c) = 3*g(c) + 35*w(c). Factor f(o).
5*(o + 1)*(o + 11)*(7*o - 2)
Factor 14/9*q**2 - 2/3*q + 0 + 2/9*q**4 - 10/9*q**3.
2*q*(q - 3)*(q - 1)**2/9
Let i(a) be the first derivative of 3/20*a**5 + 2 - 7*a + 0*a**2 + 0*a**3 + 1/4*a**4. Let o(c) be the first derivative of i(c). Factor o(t).
3*t**2*(t + 1)
Let p(m) be the first derivative of 7*m**4/4 + 3*m**3 + m**2 + 176. Determine n so that p(n) = 0.
-1, -2/7, 0
Find u, given that -52/9*u**4 - 16/3*u + 0 - 124/9*u**3 - 128/9*u**2 - 8/9*u**5 = 0.
-2, -3/2, -1, 0
Let t(p) = p**2 - 11*p - 8. Let i = 89 - 81. Let g(f) = 4*f - 14*f - 24 + 2*f**2 - 22*f. Let x(y) = i*t(y) - 3*g(y). Factor x(z).
2*(z + 2)**2
Let h(n) be the first derivative of n**2 - 1/4*n**5 - 9 - 1/6*n**4 + 5/6*n**3 + n. Let g(v) be the first derivative of h(v). Factor g(y).
-(y - 1)*(y + 1)*(5*y + 2)
Let v = 5813 - 5811. Factor -4/5 + 12/5*l - 8/5*l**v.
-4*(l - 1)*(2*l - 1)/5
Let j(w) = -6*w**3 + 40*w**2 - 98*w. Let g(h) = 4*h**3 - 27*h**2 + 65*h. Let u(v) = -8*g(v) - 5*j(v). Find i, given that u(i) = 0.
0, 3, 5
Let h(n) = n + 2. Let m(y) = -2*y**2 - 88*y - 4. Let v(s) = -2*h(s) - m(s). Find t, given that v(t) = 0.
-43, 0
Suppose -5*s - 288 = -3*q, -3*q - 294 = -6*q + 3*s. Suppose 54*i + 52*i - q*i - 10 + 5*i**2 = 0. What is i?
-2, 1
Let w(x) be the first derivative of x**6/2160 - x**5/180 + 6*x**3 - 5. Let g(t) be the third derivative of w(t). Factor g(n).
n*(n - 4)/6
Let s be 3 - 2 - -5 - 2. Let n = -3 + 5. Factor 0*x**5 - x + x**n + 5*x - 7*x**3 + 4 - 5*x**s - x**5 + 4*x.
-(x - 1)*(x + 1)**2*(x + 2)**2
Suppose 0 = -4*j + 20, 0 = 3*l + 2*j - 8 - 8. Suppose -2*o + 9 = o - 3*z, -z + 1 = 0. Factor 5*h**4 + 4*h**2 - 2*h**5 - 2*h + l - 12