of 3*c**2 - 1/360*c**6 + 1/2*c**3 - 3/8*c**4 + 0 + 0*c - 1/20*c**5. Let h(d) be the first derivative of g(d). Factor h(s).
-(s + 3)**2
Let f(i) be the second derivative of 0*i**3 - 2/195*i**6 + 0 + 1/78*i**4 + 0*i**2 + 1/130*i**5 + 13*i. Factor f(y).
-2*y**2*(y - 1)*(2*y + 1)/13
Let x(u) = -35*u**4 - 85*u**3 + 205*u**2 + 155*u + 5. Let w(p) = 18*p**4 + 43*p**3 - 103*p**2 - 77*p - 3. Let m(k) = -5*w(k) - 3*x(k). Let m(q) = 0. What is q?
-4, -2/3, 0, 2
Let p(v) be the first derivative of -40*v**2 + 85/3*v**3 - 5*v**4 + 15*v + 3. Factor p(l).
-5*(l - 3)*(l - 1)*(4*l - 1)
Suppose -3*r = -69 - 30. Suppose 30*t = r*t - 9. Factor 0*p**2 - 2/9*p**t - 4/9 + 2/3*p.
-2*(p - 1)**2*(p + 2)/9
Let z = 29/6 - 14/3. Let d(y) = y**3 + y**2 - 28*y + 47. Let v be d(2). Factor 1/6*f**2 + 0 + 1/3*f - z*f**v.
-f*(f - 2)*(f + 1)/6
Let j = 102 + -95. Let p(u) = 8*u - 56. Let n be p(j). Determine c, given that -2*c**4 + n*c + 0 - 1/2*c**2 - 5/2*c**3 = 0.
-1, -1/4, 0
Factor -4 + 22/5*w - 2/5*w**2.
-2*(w - 10)*(w - 1)/5
Let i(u) be the second derivative of u**4/84 + u**3/21 - 15*u**2/14 + 384*u. What is w in i(w) = 0?
-5, 3
Let l(s) = s**3 + 8*s**2 + 2*s - 6. Let n be l(-3). Let u = n + -31. Let -1/4*r - 1/2 + 1/4*r**u = 0. Calculate r.
-1, 2
Let a(t) be the third derivative of 3*t**2 + 0 - 1/6*t**4 + 0*t - t**3 + 1/30*t**5. What is b in a(b) = 0?
-1, 3
Let o = 77 + -73. Factor 389*v**4 - 21*v**2 + 3*v**3 + 12*v**3 - 392*v**o + 8*v + v.
-3*v*(v - 3)*(v - 1)**2
Let l(x) be the first derivative of -28*x**5/5 + 2*x**4 + 8*x**3 - 4*x**2 + 4*x - 4. Let j(h) = 8*h**2 - 6 + 5 - 7*h**2. Let k(r) = 4*j(r) + l(r). Factor k(v).
-4*v*(v - 1)*(v + 1)*(7*v - 2)
Let y = -91716/7 + 13103. Factor -y*q**2 - 3/7*q**3 + 4/7*q + 4/7.
-(q - 1)*(q + 2)*(3*q + 2)/7
Let n(u) be the second derivative of 0*u**3 + 1/14*u**7 - 2*u + 1/5*u**6 + 0 + 0*u**5 + 0*u**4 + 0*u**2. Factor n(p).
3*p**4*(p + 2)
Let y(b) = b**2 + b + 1. Let g(u) = 5 - 3 + 2 + 4*u + 2*u**2 + 7*u**3. Let q(a) = -g(a) + 4*y(a). Let q(m) = 0. What is m?
0, 2/7
Let h = -10 - -20. Let k be 40/(-8)*(-4)/h. Determine g so that g**4 + g**2 + g**4 + 4*g**3 + 5*g**2 - 4*g**k = 0.
-1, 0
Let p(m) be the third derivative of -12*m**2 + 1/15*m**5 - 1/18*m**4 - 1/90*m**7 + 0 + 1/40*m**6 + 0*m**3 + 0*m. Find h such that p(h) = 0.
-1, 0, 2/7, 2
Let q = -107 + 109. Solve -202*w**2 - 2*w + 1 - 2 + 98*w**2 + 103*w**q = 0 for w.
-1
Find w such that 928/3*w - 107648/3 - 2/3*w**2 = 0.
232
Let u(q) be the second derivative of -11/14*q**5 + 0 - 8/7*q**3 - 4/7*q**2 - 53/42*q**4 - 9/35*q**6 - 5/147*q**7 + 20*q. Solve u(p) = 0 for p.
-2, -1, -2/5
Let g(w) be the first derivative of -4*w**6/57 - 58*w**5/95 - 75*w**4/38 - 170*w**3/57 - 41*w**2/19 - 12*w/19 + 71. Determine k so that g(k) = 0.
-3, -2, -1, -1/4
Let d(z) be the third derivative of z**5/80 + z**4/12 + z**3/6 - 129*z**2. Determine w, given that d(w) = 0.
-2, -2/3
Let l(s) be the first derivative of -s**4/30 - 58*s**3/45 - 32*s**2/3 + 512*s/5 - 510. Factor l(m).
-2*(m - 3)*(m + 16)**2/15
Find v, given that 55778/11 - 668/11*v + 2/11*v**2 = 0.
167
Determine u, given that 5*u**4 - 2*u**3 + 149 - 4*u**2 - 6*u**2 - 149 + 7*u**3 = 0.
-2, 0, 1
Let d(o) be the first derivative of o**5/30 + o**4 + 20*o**3/3 + 56*o**2/3 + 24*o + 426. Factor d(z).
(z + 2)**3*(z + 18)/6
Let q(d) be the third derivative of d**2 + 0*d - 7/180*d**5 + 0*d**3 + 1/36*d**4 - 1/90*d**6 + 0. Factor q(y).
-y*(y + 2)*(4*y - 1)/3
Let a(l) = 3*l**2 - 25*l + 10. Let q(v) = 3*v**2 - 26*v + 8. Let c(z) = -5*a(z) + 4*q(z). Solve c(k) = 0.
1, 6
Suppose 0 + 2/9*i**3 + 0*i + 40/9*i**2 = 0. What is i?
-20, 0
Let t(g) = -7*g**3 + 60*g**2 + 55*g + 3. Let q(b) = 64*b**3 - 540*b**2 - 492*b - 28. Let a(h) = -3*q(h) - 28*t(h). Solve a(n) = 0 for n.
-1, 0, 16
Suppose 16*b - 22*b = -312. Determine z so that -6*z**2 - 19*z**2 - 16*z**4 + b*z**3 + 13*z**2 = 0.
0, 1/4, 3
Factor 2/9*b**2 + 0*b**3 - 2/9*b**4 + 0 + 0*b.
-2*b**2*(b - 1)*(b + 1)/9
Let q = 3914 - 3912. Let -9/4*v**q + 3/4*v**3 + 3/2 + 3/4*v**4 - 3/4*v = 0. Calculate v.
-2, -1, 1
Let a be (-4)/((-64)/12)*(11 + (-288)/27). Find t, given that 11/4*t**4 - 5/4*t**5 - 1/2*t**3 + 7/4*t - 5/2*t**2 - a = 0.
-1, 1/5, 1
Let g(m) = -66*m - 396. Let i be g(-6). Let n(l) be the first derivative of i*l - 9 + 3/4*l**4 + 3/4*l**3 - 3/8*l**2. Find u such that n(u) = 0.
-1, 0, 1/4
Determine h so that -6*h**4 - 6*h + 2*h**5 + 31*h**2 - 12*h + 8 - 9*h**2 - 2*h**3 - 6*h = 0.
-2, 1, 2
Suppose -5*a - 1 = -4*z - 18, -5*z + a + 5 = 0. Let d(g) be the second derivative of -1/18*g**4 - 4/9*g**3 - g + 0 - g**z. Suppose d(w) = 0. Calculate w.
-3, -1
Let s(l) be the first derivative of -4/3*l + 5/3*l**2 - 7/9*l**3 + 1/8*l**4 - 26. Determine q so that s(q) = 0.
2/3, 2
Let u(m) be the first derivative of 108/5*m + 28 + 21/10*m**4 + 126/5*m**2 + 61/5*m**3 + 3/25*m**5. Find s such that u(s) = 0.
-6, -1
Let v(k) = 7*k**3 + 18*k**2 + 6*k - 6. Let g(t) = 8*t**3 + 19*t**2 + 7*t - 7. Let w(i) = 6*g(i) - 7*v(i). Factor w(p).
-p**2*(p + 12)
Let l = 31 + -22. Suppose -4*r + 0*r = -32. Factor -3*y**2 - y - 4*y**3 - 9*y + r*y**2 + l*y**3.
5*y*(y - 1)*(y + 2)
Let h(o) be the second derivative of o**4/30 + 14*o**3/15 - 3*o**2 + 14*o - 2. Factor h(f).
2*(f - 1)*(f + 15)/5
Let b be (46 - (0 - -1))/1. Determine r, given that -24*r - 5*r**2 + 34*r - b + 20*r = 0.
3
Let r be 113/3 - 1/(12/8). Let p = 223/6 - r. Factor -1/6 - 1/3*z**2 + 1/2*z**4 + p*z**5 + 1/3*z**3 - 1/2*z.
(z - 1)*(z + 1)**4/6
Let s = -4531/3 - -1511. Factor -6 + s*a**3 + 10*a - 14/3*a**2.
2*(a - 3)**2*(a - 1)/3
Factor -35*h**2 - 48 - 24*h - 28*h**2 - 30*h**2 + 90*h**2.
-3*(h + 4)**2
Let g be (-8)/(-52) - 4/26. Let i be 48/20 - (-8)/(-20). Find w, given that 5*w**3 - 3*w + w - 3*w**i + g*w = 0.
-2/5, 0, 1
Let g(x) be the second derivative of 0 - x + 1/3*x**4 + 1/2*x**3 + x**2. Let t(q) = -q**2. Let s(j) = -4*g(j) - 12*t(j). Determine i so that s(i) = 0.
-2, -1
Let h be 4/18*((-165)/6 + 29). Find p such that 2*p - h*p**2 - 5/3 = 0.
1, 5
Solve 24/5*m + 9/5*m**2 - 9/5 = 0.
-3, 1/3
Factor -31/2 + 1/2*m**3 - 29/2*m**2 - 61/2*m.
(m - 31)*(m + 1)**2/2
Let a(m) be the first derivative of -4*m**3/3 + 48*m**2 - 576*m + 331. What is s in a(s) = 0?
12
Let t(m) = m**4 - 14*m**3 + 68*m**2 - 156*m + 132. Let b(c) = -2*c**4 + 28*c**3 - 135*c**2 + 311*c - 265. Let l(y) = 4*b(y) + 9*t(y). Factor l(x).
(x - 4)**3*(x - 2)
Let q(n) be the second derivative of -n**6/70 + 117*n**5/140 - 507*n**4/28 + 2197*n**3/14 - 3*n + 19. Factor q(o).
-3*o*(o - 13)**3/7
Let q(t) be the first derivative of -2*t**5/45 + 10*t**3/27 - 8*t/9 + 14. Determine l, given that q(l) = 0.
-2, -1, 1, 2
Let z(n) be the second derivative of n**7/7 - 17*n**6/20 - 33*n**5/10 + 3*n**4/2 + n - 202. Determine r, given that z(r) = 0.
-2, 0, 1/4, 6
Let q be (-15)/9*((-828)/(-60) + -14). Factor q*x**2 - 2/3 - 1/3*x.
(x - 2)*(x + 1)/3
Let z be (-405)/6*(-48)/36. Let h = z + -177/2. Solve -3/2*y**4 + 3/2*y**5 + h*y**2 - 3/2*y**3 + 0*y + 0 = 0.
-1, 0, 1
Let f(t) be the first derivative of t**7/280 - t**6/24 + 7*t**5/40 - 3*t**4/8 + t**3/3 + 2. Let g(o) be the third derivative of f(o). Factor g(z).
3*(z - 3)*(z - 1)**2
Let m(y) be the second derivative of -y**6/60 - 7*y**5/80 + 5*y**4/24 + y**3 - 90*y. Factor m(w).
-w*(w - 2)*(w + 4)*(2*w + 3)/4
Let b(s) be the second derivative of -s**9/20160 + s**8/4480 - s**7/3360 + 2*s**4/3 - 5*s. Let w(i) be the third derivative of b(i). Factor w(d).
-3*d**2*(d - 1)**2/4
Let y(w) be the second derivative of -w**6/150 + 3*w**5/50 + 2*w**4/15 - w**3/5 - 7*w**2/10 - w - 89. Factor y(f).
-(f - 7)*(f - 1)*(f + 1)**2/5
Let v(t) be the first derivative of 0*t**4 - 5 + 0*t - 5/3*t**3 + 0*t**2 - 1/120*t**5 + 1/720*t**6. Let q(u) be the third derivative of v(u). Factor q(a).
a*(a - 2)/2
What is s in -2 + s**2 - 17/3*s = 0?
-1/3, 6
Let d(f) be the first derivative of -6 - 39/2*f**2 - 5*f**3 - 18*f. Factor d(t).
-3*(t + 2)*(5*t + 3)
Let h(m) = -m**3 + 5*m**2 + 7. Let y be h(4). Solve -66*t - 61*t**2 - y*t**2 - 9 - 76*t**2 + 39*t**2 = 0 for t.
-3/11
Suppose -85*o - 432 - 1644*o**3 + 429*o**2 + 3*o**4 + 1716*o**3 + 13*o = 0. Calculate o.
-12, -1, 1
Let c(f) be the second derivative of 0 - 1/4*f**4 - 32*f - 1/20*f**5 - 1/3*f**3 + 0*f**2. Factor c(a).
-a*(a + 1)*(a + 2)
Let a(y) = y**4 + y**2 + y. Let i(r) be the thir