*v. Factor d(q).
q**2*(q + 1)*(q + 2)**2/2
Let k(m) be the second derivative of -1/10*m**3 - 3/5*m**2 + 29*m + 0 + 3/100*m**5 + 1/10*m**4. Determine l, given that k(l) = 0.
-2, -1, 1
Factor 0*z**2 + 0 + 0*z + 3/4*z**5 + 0*z**4 - 3/4*z**3.
3*z**3*(z - 1)*(z + 1)/4
Factor 1/4*q**5 - 163/2*q**2 + 137/4*q**3 - 34 + 87*q - 6*q**4.
(q - 17)*(q - 2)**3*(q - 1)/4
Suppose p = 2*v - 10, 2*v + 2*p - 2 + 4 = 0. Factor 3*m**4 + 4*m**v + 2*m**4 - 3*m**4.
2*m**3*(m + 2)
Let u(w) = 2*w**3 + 2*w**2 - 25*w + 6. Let t be u(3). Determine s so that -4/9 + 2*s**t + 2/9*s + 8/3*s**2 = 0.
-1, -2/3, 1/3
Suppose -71*z = -36*z - 36*z. Suppose 2/11*y**3 + z + 4/11*y - 6/11*y**2 = 0. What is y?
0, 1, 2
Find o, given that -8*o**3 - 3*o - 371 - o**2 + 387 + 13*o**2 + 35*o - 4*o**4 = 0.
-2, -1, 2
Let h(m) be the second derivative of -m**6/120 - 7*m**5/80 + 31*m**4/48 + 7*m**3/24 - 15*m**2/4 - 6*m - 11. Suppose h(r) = 0. What is r?
-10, -1, 1, 3
Let l(c) be the second derivative of -c**4/48 + 5*c**3/24 + 7*c**2/4 - c - 1. Find v, given that l(v) = 0.
-2, 7
Let q(i) be the second derivative of 0*i**4 - 5*i**2 - 1/4*i**5 + 5/2*i**3 + 0 - 3*i. Factor q(w).
-5*(w - 1)**2*(w + 2)
Let u(t) = -15*t**2 + 755*t + 55. Let b(z) = z**2 - 54*z - 4. Let f(d) = 55*b(d) + 4*u(d). Factor f(y).
-5*y*(y - 10)
Let h(l) = -3*l**3 + 27*l**2 - 60*l + 33. Let m(f) = 3*f**3 - 27*f**2 + 60*f - 32. Let x(u) = 4*h(u) + 3*m(u). Factor x(n).
-3*(n - 6)*(n - 2)*(n - 1)
Let q(s) be the second derivative of 7*s**6/10 + 39*s**5/10 - 43*s**4/4 + 5*s**3 - 5*s - 7. Factor q(d).
3*d*(d - 1)*(d + 5)*(7*d - 2)
Let k(x) be the second derivative of -x**6/600 + x**4/40 - x**3/15 - 35*x**2/2 - 28*x. Let m(b) be the first derivative of k(b). Suppose m(a) = 0. Calculate a.
-2, 1
Let l(f) = 8*f - 52. Let h be l(8). Factor -21*c + 8 + 5*c**2 + c**2 + 10 - h + 9*c**3.
3*(c - 1)*(c + 2)*(3*c - 1)
Suppose 2*i + 2*s - 1 = 9, -4*i - 5*s + 21 = 0. Suppose -i*b + 2*o = -22, -o = -2 + 5. Factor -2 + 5*d**5 + 2 + 4*d**2 - 4*d**5 - 3*d**b.
d**2*(d - 2)**2*(d + 1)
Factor 1/7*r**4 + 0 + 0*r + 2/7*r**3 + 1/7*r**2.
r**2*(r + 1)**2/7
Let v = -15 - -25. Factor 8 - v*x**3 + 15*x**3 + 22 - 35*x.
5*(x - 2)*(x - 1)*(x + 3)
Let a(i) be the second derivative of i**5/140 - 9*i**3/14 + 27*i**2/7 + i - 6. Factor a(o).
(o - 3)**2*(o + 6)/7
Let w be (-1 - -1) + (17 - 14). Let b(t) be the first derivative of -2*t**2 - 8/3*t - 4/9*t**w + 5. Let b(d) = 0. What is d?
-2, -1
Let i = 5 + -8. Let p be (-1)/i - (-55)/15. Factor -4*l - 6*l**p + 4*l + 3*l**4.
-3*l**4
Let z(q) = -18*q**2 - 38*q - 2. Let k(g) = -72*g**2 - 152*g - 7. Let h(u) = 4*k(u) - 18*z(u). Factor h(t).
4*(t + 2)*(9*t + 1)
Let m(o) = -35*o**2 - 6*o - 20. Let a(k) = -36*k**2 - 6*k - 15. Let i(z) = -4*a(z) + 3*m(z). Find g, given that i(g) = 0.
-2/13, 0
Let 29*w**3 - 16*w**2 - 30*w**3 + 19*w**2 = 0. What is w?
0, 3
Let t(c) be the first derivative of 125*c**3/3 - 135*c**2/2 + 10*c + 14. Suppose t(h) = 0. What is h?
2/25, 1
Let o(u) be the second derivative of 5/12*u**4 + 0*u**2 - 10*u - 1/4*u**5 + 0*u**3 + 0. Suppose o(r) = 0. Calculate r.
0, 1
Let l be (1 + -4)*(-11 - (9 - (-14794)/(-741))). Factor 4/19*f + l*f**2 - 6/19.
2*(f - 1)*(f + 3)/19
Let a(q) = 10*q**2 - 12*q - 1. Let d(u) = 11*u**2 - 13*u - 2. Let x = -43 + 39. Let r(h) = x*a(h) + 3*d(h). Factor r(m).
-(m - 1)*(7*m - 2)
Let a(i) be the third derivative of -1/56*i**4 + 1/490*i**7 - 3/140*i**5 + 1/280*i**6 + 0*i + 0 + 38*i**2 + 1/7*i**3. Solve a(z) = 0 for z.
-2, -1, 1
Let j be (16/10)/((-24)/(-20)). Let a(u) = -u**3 + 2*u**2 + u. Let o be a(0). Let 2/3*i**3 + o + j*i + 2*i**2 = 0. Calculate i.
-2, -1, 0
Let o(i) be the third derivative of i**5/15 - 8*i**4/3 - 24*i**3 + 448*i**2. Factor o(a).
4*(a - 18)*(a + 2)
Let z(a) = a**4 - a**3 - 4*a**2 + 16*a + 4. Let y(r) = -r**2 - r - 1. Let t(c) = 20*y(c) + 5*z(c). Factor t(x).
5*x*(x - 2)**2*(x + 3)
Let d(v) = v**4 + 7*v**3 - v**2 + 5*v. Let p(y) = 2*y**2 - 4*y**2 + 4*y + y**4 + y**2 + 0*y**4 + 6*y**3. Let h(s) = -5*d(s) + 6*p(s). Factor h(a).
a*(a - 1)*(a + 1)**2
Let 24 + 446*x**3 - 1053*x**3 + 68*x + 523*x**3 - 40*x**2 = 0. Calculate x.
-1, -1/3, 6/7
Solve 2/5*t**2 - 22/5*t - 84/5 = 0 for t.
-3, 14
Let m(l) be the third derivative of -l**2 + 0 - 1/12*l**5 + 0*l + 5/6*l**4 + 25/6*l**3. Factor m(b).
-5*(b - 5)*(b + 1)
Let o(d) = -4*d**3 - 24*d**2 - 20*d + 24. Let m be 2/(-2 + 6 + -3). Let t(f) = -f**2 - f - f**m + f**2 + 1. Let y(q) = o(q) - 24*t(q). Factor y(k).
-4*k*(k - 1)*(k + 1)
Let p(y) be the first derivative of -3*y**4/4 - 15*y**3 - 66*y**2 - 181. Determine j, given that p(j) = 0.
-11, -4, 0
Factor -72*u**3 - 306*u - 30*u**4 + 120 + 255*u**2 + 62*u**4 - 29*u**4.
3*(u - 20)*(u - 2)*(u - 1)**2
Let f(t) = 8*t**3 + 23*t**2 - 43*t + 10. Let c(a) = -10*a**3 - 22*a**2 + 42*a - 12. Let r(l) = -5*c(l) - 6*f(l). Factor r(x).
2*x*(x - 12)*(x - 2)
Let r(u) be the second derivative of -u**6/6 - 3*u**5/4 + 5*u**4/12 + 5*u**3/2 + 221*u. Factor r(i).
-5*i*(i - 1)*(i + 1)*(i + 3)
Let a(l) be the second derivative of -l**7/168 - 109*l**6/120 - 1943*l**5/40 - 21275*l**4/24 + 97199*l**3/24 - 50653*l**2/8 - 23*l + 10. Solve a(y) = 0.
-37, 1
Suppose 19*j = 93 - 55. Let f(z) be the first derivative of -3/10*z**j - 4 - 1/5*z**3 + 0*z. Factor f(h).
-3*h*(h + 1)/5
Factor 4*v**2 - 4*v**5 + 12*v**3 + 29*v**4 - 3*v**2 - v**2 - 37*v**4.
-4*v**3*(v - 1)*(v + 3)
Let v = -164 - -98. Let z be v/(-44)*-1*2 + 8. What is d in 0*d**2 + 0 - 3/4*d**z - 3/2*d**4 + 0*d - 3/4*d**3 = 0?
-1, 0
Let -14/3*w**4 - 40/3*w - 32*w**2 + 50*w**3 + 0 = 0. Calculate w.
-2/7, 0, 1, 10
Let o(w) be the second derivative of -5*w**4/12 + 125*w**3/3 + 255*w**2/2 - 176*w. Determine x, given that o(x) = 0.
-1, 51
Let f(b) be the first derivative of b**4/10 + 76*b**3/15 + 64*b**2 - 320*b + 616. Factor f(p).
2*(p - 2)*(p + 20)**2/5
Let s(i) be the third derivative of -i**6/30 - 25*i**5/3 - 1984*i**4/3 - 7688*i**3/3 - 83*i**2. Factor s(h).
-4*(h + 1)*(h + 62)**2
Let g(o) = -18*o**3 + 390*o**2 + 553*o + 187. Let x(m) = -72*m**3 + 1560*m**2 + 2209*m + 747. Let k(z) = 22*g(z) - 6*x(z). Factor k(u).
4*(u - 23)*(3*u + 2)**2
Suppose -31 = -2*l - 5*n, n - 305 + 300 = 0. Factor -6/11*v**2 + 2/11*v**4 - 8/11*v + 4/11*v**l + 8/11.
2*(v - 1)**2*(v + 2)**2/11
Let s be ((-60)/(-42))/((-14)/343*-7). Solve 0 + 1/4*d**3 + 1/2*d**4 + 0*d**2 + 1/4*d**s + 0*d = 0 for d.
-1, 0
Let f(a) be the second derivative of -9*a**5/20 - 313*a**4/2 - 16432*a**3 - 32448*a**2 + 12*a + 20. What is l in f(l) = 0?
-104, -2/3
Let h be 2 + 6/(-8)*20/(-15). Let c(v) be the second derivative of 0*v**2 + 0 - 1/16*v**4 + 1/8*v**3 - h*v. Factor c(y).
-3*y*(y - 1)/4
Let n be 21/24 - 93/744. Let r be (1 - -2)*(-8)/(-6). Factor -n*h**2 + 0 + 0*h**3 + 0*h + 3/4*h**r.
3*h**2*(h - 1)*(h + 1)/4
Suppose -4*s + a = -18, -s - 30 = -6*s + 5*a. Factor -5*r - 6*r**2 + r**2 - 2*r**3 - 3*r - s + r**3.
-(r + 1)*(r + 2)**2
Let x(p) = p**4 - 17*p**3 + 19*p**2 - 7*p + 2. Let r(i) = 12*i**4 - 222*i**3 + 246*i**2 - 90*i + 27. Let w(q) = 2*r(q) - 27*x(q). Factor w(t).
-3*t*(t - 3)*(t - 1)**2
Factor -2*i**4 - 4*i**4 + 6*i**3 - 2*i**5 - 10*i**3.
-2*i**3*(i + 1)*(i + 2)
Let g(x) be the second derivative of -17*x**5/4 - 5*x**4/4 + 85*x**3/6 + 15*x**2/2 - 71*x. Determine u, given that g(u) = 0.
-1, -3/17, 1
Find n, given that 55*n + 58*n**2 + 4*n**3 + 7*n**2 + 33*n - 13*n**2 = 0.
-11, -2, 0
Let t(s) be the first derivative of 1/10*s**4 + 12/5*s**2 + 16/5*s - 25 + 4/5*s**3. Factor t(m).
2*(m + 2)**3/5
Let n(i) = -i**2 + i + 3. Let l be n(0). Find h such that l*h**2 - h**2 + 7*h - 13*h = 0.
0, 3
Let p(y) be the first derivative of y**5/5 - y**4/2 + y**3/3 - 102. Solve p(k) = 0 for k.
0, 1
Let u be -4*(1 + 0)*2/(-4). Suppose -7 = c + u*f, 3*f = -4*c + 6*c - 21. Find i, given that 0*i - 6/5*i**2 + 0 - 3*i**c = 0.
-2/5, 0
Let h(u) be the third derivative of -u**5/180 - 9*u**4/2 - 1458*u**3 - 36*u**2 + 3*u. Factor h(f).
-(f + 162)**2/3
Let m(s) be the second derivative of s**7/2940 - s**5/420 - s**3/2 - 19*s. Let q(v) be the second derivative of m(v). Let q(j) = 0. Calculate j.
-1, 0, 1
Let u(w) be the first derivative of 2*w**7/105 - w**5/5 - w**4/3 + 3*w**2 + 3. Let x(f) be the second derivative of u(f). Factor x(v).
4*v*(v - 2)*(v + 1)**2
Let w(m) be the second derivative of -4*m**2 + 0 - 2*m**3 + 0*m**4 + 1/5*m**5