5*f**4 - 30*f**3 + 66*f**2 - 5*f. Let q(s) = -s**4 - 5*s**3 + 11*s**2 - s. Let p(v) = 6*j(v) - 39*q(v). Determine b so that p(b) = 0.
-3, 0, 1/3, 1
Let y(l) be the second derivative of -5*l**7/42 + l**6/2 + l**5/4 - 55*l**4/12 + 10*l**3 - 10*l**2 + 51*l. Suppose y(n) = 0. Calculate n.
-2, 1, 2
Suppose -3*o - 4*s = 58, -5*o + 0*o - 4*s - 102 = 0. Let q be (-16)/(-33) - 4/o. Determine m so that 0 - 4/3*m**2 + q*m + 2/3*m**3 = 0.
0, 1
Let l(s) be the first derivative of -2*s**3/3 - 14*s**2 - 98*s + 1. What is y in l(y) = 0?
-7
Suppose 4*n - 5*d - 30 - 4 = 0, -5*d - 1 = -n. Factor n*f**2 + f**3 - 2 - 3*f - 11*f**2.
(f - 2)*(f + 1)**2
Suppose 4 = -8*s + 7*s. Let y be 3*s/24*-3. Let -2*z**2 + 1 - 1/2*z + y*z**3 = 0. Calculate z.
-2/3, 1
Let y be (-255)/(-267) + (-1)/1. Let j = y - -206/623. Factor 2/7*q**2 + j - 4/7*q.
2*(q - 1)**2/7
Suppose 47*b - 44*b = 6. Suppose 5*q = 2*h + 1, 2*h - 7*h - 4*q + 14 = 0. Find x, given that -8 + 0*x**3 - x**b + h*x**4 - x**3 + 8 = 0.
-1/2, 0, 1
Let d(v) be the second derivative of 0*v**2 + 0*v**5 + 1/60*v**4 - v - 1/150*v**6 + 0*v**3 + 0. Factor d(o).
-o**2*(o - 1)*(o + 1)/5
Let u = 81/16 + 557/48. Let 2/3*s**5 + 8/3 + 14/3*s**4 + u*s**2 + 32/3*s + 38/3*s**3 = 0. Calculate s.
-2, -1
Let n(y) be the first derivative of y**5 + 5*y**4/4 - 40*y**3/3 - 30*y**2 - 49. Factor n(k).
5*k*(k - 3)*(k + 2)**2
Solve 4/5*u**3 - 2/5*u**5 + 14/5*u - 4/5*u**4 + 4/5 + 16/5*u**2 = 0.
-1, 2
Let q = 317/4 - 79. Let b(a) be the first derivative of 0*a - q*a**2 - 1/8*a**4 - 1/3*a**3 + 2. Factor b(z).
-z*(z + 1)**2/2
Let l(g) be the third derivative of -g**6/30 + g**5/15 + 30*g**2. Factor l(j).
-4*j**2*(j - 1)
Let l(a) be the third derivative of 5*a**8/336 - a**7/3 + 19*a**6/6 - 50*a**5/3 + 160*a**4/3 - 320*a**3/3 + 25*a**2. Factor l(j).
5*(j - 4)**2*(j - 2)**3
Let r = 8 + -8. Suppose 4*z = -r*z + 8. Determine x, given that x**4 - x**3 - x**z + 2*x**3 + 0*x**4 - x = 0.
-1, 0, 1
Let j(w) be the first derivative of -w**8/2520 + w**6/540 - w**3 - 7. Let x(z) be the third derivative of j(z). Factor x(c).
-2*c**2*(c - 1)*(c + 1)/3
Suppose 3*n = -45 + 45. Factor -4/3 + 2/3*m**3 - 2*m + n*m**2.
2*(m - 2)*(m + 1)**2/3
Let m(o) be the first derivative of 2*o**5/75 + o**4/12 + o**3/15 - 3*o**2/2 + 2. Let y(b) be the second derivative of m(b). Let y(w) = 0. Calculate w.
-1, -1/4
Let v(x) be the second derivative of 4/3*x**3 - x + 0*x**2 + 0 - 1/6*x**4. Factor v(t).
-2*t*(t - 4)
Let n(i) be the first derivative of -2*i**6 - 9*i**5 - 129*i**4/8 - 29*i**3/2 - 27*i**2/4 - 3*i/2 - 7. Solve n(q) = 0 for q.
-1, -1/2, -1/4
Let w be 1/(-6)*(-2)/12*3. Let k(p) be the third derivative of 0*p**5 + 0 - w*p**4 + 0*p - 3*p**2 + 1/60*p**6 + 0*p**3. Factor k(u).
2*u*(u - 1)*(u + 1)
Let u(j) be the second derivative of 0*j**2 - 1/33*j**3 + 5*j + 0*j**4 + 1/110*j**5 + 0. Factor u(f).
2*f*(f - 1)*(f + 1)/11
Let l(m) be the first derivative of -3*m**5 + m**6 - 1 + 2*m**4 + 45*m**3 - 40*m**3 - 2*m**4 - 3*m**2. Determine s so that l(s) = 0.
-1, 0, 1/2, 1, 2
Let a be (-1)/(-4) + (-30)/(-264). Let j = -58 - -640/11. Suppose a*h + 2/11*h**2 + j = 0. Calculate h.
-1
Let p(y) be the second derivative of -y**5/120 + y**4/24 - y**3/12 - y**2 - 3*y. Let v(m) be the first derivative of p(m). Factor v(l).
-(l - 1)**2/2
Let r(k) = -2*k - 4. Let y be r(-8). Let d = -7 + y. Suppose 3/4*m**d + 2*m**4 + 1/2*m**2 + 0*m + 0 + 7/4*m**3 = 0. Calculate m.
-1, -2/3, 0
Let h(g) = -g**3 + g**2 + g - 1. Let q(w) = w**3 + 38*w**2 + 146*w + 190. Let c(k) = 2*h(k) - q(k). Suppose c(j) = 0. Calculate j.
-4
Suppose -20*l + 21*l = 0. Let m(w) be the third derivative of 0 - 3*w**2 + 2/21*w**3 - 1/28*w**4 + 1/210*w**5 + l*w. Determine f so that m(f) = 0.
1, 2
Suppose 2*u + 16 = -2*u. Let a be u/(-18) - (-34)/9. Factor k**4 + 0*k**a + k**4 - 8*k + 6*k**3.
2*k*(k - 1)*(k + 2)**2
Let k(d) be the third derivative of d**5/3 - 17*d**4/6 + 4*d**3 - 8*d**2. Factor k(t).
4*(t - 3)*(5*t - 2)
Find r, given that 0*r + 1/2*r**2 + 1/2*r**3 + 0 = 0.
-1, 0
Let c(h) = h**4 + h**3 - h**2 - 1. Let b(d) = 17*d**4 - 16*d**4 - 3*d**2 + d**2 - 2. Let q be (2 - 0/1)/(-2). Let p(g) = q*b(g) + 2*c(g). Solve p(k) = 0.
-2, 0
Let q(x) be the first derivative of -x**3/7 + 3*x**2/14 - 4. Suppose q(b) = 0. Calculate b.
0, 1
Let t be (-84)/(-196) - 2/21. Determine i so that -t + 0*i + 1/3*i**2 = 0.
-1, 1
Suppose 2/5*j + 0 - 1/5*j**3 + 1/5*j**2 = 0. Calculate j.
-1, 0, 2
Let c = -19 + 21. Let y(x) be the first derivative of 0*x**c + 2 + 0*x + 1/9*x**3. Solve y(z) = 0 for z.
0
Let j(t) be the second derivative of -5*t - 5/8*t**3 + 0 + 3/80*t**5 + 3/4*t**2 - 1/40*t**6 + 3/16*t**4. Suppose j(w) = 0. Calculate w.
-2, 1
Suppose -2*b - 3*b = -10. Let p(x) be the second derivative of 0 - 1/30*x**5 - 1/63*x**7 + 0*x**b - 2/45*x**6 + 0*x**3 + 0*x**4 - x. Factor p(w).
-2*w**3*(w + 1)**2/3
Suppose -5*m = -7*m + 2. Let v(z) be the first derivative of -1/12*z**6 - m + 3/10*z**5 + 0*z**2 - 3/8*z**4 + 1/6*z**3 + 0*z. Factor v(h).
-h**2*(h - 1)**3/2
Let c(y) be the second derivative of 0 - 1/105*y**6 + 1/7*y**2 + 0*y**4 + 3*y - 2/21*y**3 + 1/35*y**5. Factor c(w).
-2*(w - 1)**3*(w + 1)/7
Suppose 0 = -3*u + r + 6, -u + r + 3 = 1. Let g(l) be the third derivative of 1/60*l**5 + 0*l + 0*l**4 - l**u + 0 + 0*l**3. Determine f so that g(f) = 0.
0
Let i(p) be the first derivative of 0*p + 0*p**3 - 3/10*p**4 + 7/10*p**6 - 3 - 3/5*p**5 + 0*p**2. Factor i(h).
3*h**3*(h - 1)*(7*h + 2)/5
Suppose 0*r = -5*r + 10. Let d(i) be the third derivative of -r*i**2 + 0 - 1/15*i**5 + 0*i**3 + 0*i + 1/12*i**4 + 1/60*i**6. Find h, given that d(h) = 0.
0, 1
Let g = 5 - 3. Factor 3 + 29*z**2 - 3 - 6*z - g*z**2.
3*z*(9*z - 2)
Let h(v) be the first derivative of 10 - 1/3*v**2 + 0*v**3 - 1/15*v**5 + 1/6*v**4 + 1/3*v. Factor h(f).
-(f - 1)**3*(f + 1)/3
Find g, given that -3/4*g**3 + 0 - 1/8*g**2 + 1/4*g**5 + 1/4*g - 1/8*g**4 = 0.
-1, 0, 1/2, 2
Let w(d) be the first derivative of 2*d**5/5 + 3*d**4 + 16*d**3/3 - 6*d**2 - 18*d + 16. Factor w(s).
2*(s - 1)*(s + 1)*(s + 3)**2
Let f(t) be the third derivative of 0*t**5 - 1/6*t**3 + 2*t**2 + 1/360*t**6 + 0*t + 0 - 1/24*t**4. Let q(a) be the first derivative of f(a). Factor q(v).
(v - 1)*(v + 1)
Let x(l) be the third derivative of -l**8/784 + 3*l**7/490 - l**6/140 - l**2 - 2. Let x(t) = 0. Calculate t.
0, 1, 2
Let v = 15 - 3. Determine i so that 0*i**2 - 4*i**2 + 16*i - v*i = 0.
0, 1
Suppose 5*o + 4 + 96 = 0. Let c be 2/(-5) + (-48)/o. Factor -3*u**3 + 2*u**3 + c*u**3 + 2*u**2 + u.
u*(u + 1)**2
Let j(a) be the first derivative of -a**4/18 + 2*a**3/3 - 5*a**2/3 - 50*a/9 - 22. Suppose j(b) = 0. What is b?
-1, 5
Let s(a) be the second derivative of -a**5/90 - a**4/9 - 11*a**3/27 - 2*a**2/3 + 34*a. Factor s(z).
-2*(z + 1)*(z + 2)*(z + 3)/9
Let a(w) be the first derivative of -w**4/28 - w**3/7 - 3*w**2/14 - w/7 - 4. Solve a(f) = 0.
-1
Suppose k = -3*w - 2*k + 6, 9 = -3*k. Solve d + 0*d**5 - 2*d**5 + 5*d**5 + 4*d**2 + 4*d**4 - 2*d**w + 6*d**3 = 0.
-1, 0
Let t = 184 + -379. Let r be (t/(-12))/5 + -3. Find f such that 0 + r*f + 1/4*f**2 = 0.
-1, 0
Let g be (2 - 1)*(-2)/(-36). Let b(d) be the third derivative of 0*d - 2/9*d**3 + 0 + d**2 + g*d**4 - 1/180*d**5. Find z, given that b(z) = 0.
2
Let s = -7/122 + 319/244. Factor -1/4*z**3 + 1/2 - s*z + z**2.
-(z - 2)*(z - 1)**2/4
Let b(f) be the third derivative of -f**6/240 - f**5/120 + f**4/24 - 7*f**2. Solve b(w) = 0.
-2, 0, 1
Suppose -h = 3 - 2. Let j(r) = r**3 + r**2 - r - 1. Let u(f) = 2*f**3 - 6*f - 4. Let q(g) = h*u(g) + 4*j(g). Let q(n) = 0. What is n?
-1, 0
Let d = 6 + -6. Suppose 2*p - 5*k - 32 + 4 = d, 3*k = -3*p. Factor -3*a**p - 2*a**5 + 6*a**3 - 2 - 3*a - a**5 + 6*a**2 - 1.
-3*(a - 1)**2*(a + 1)**3
Let z(o) be the second derivative of o**6/135 + o**5/90 - o**4/18 - o**3/27 + 2*o**2/9 + 9*o. Suppose z(c) = 0. What is c?
-2, -1, 1
Let d = 20/57 - -6/19. Suppose d*c + 0 + 2/3*c**2 = 0. Calculate c.
-1, 0
Determine p, given that -1/3*p**4 - 3*p**2 - 5/3*p**3 - 7/3*p - 2/3 = 0.
-2, -1
Let l(p) be the first derivative of 5*p**4/48 + p**3/2 + p**2/2 + 7*p - 3. Let u(s) be the first derivative of l(s). Factor u(a).
(a + 2)*(5*a + 2)/4
Let u = 2 + -2. Let a(j) = 3*j**2 - 2*j**2 + j**3 + u*j**3 + 1 - j. Let x(k) = -12*k**3 - 14*k**2 + 8*k - 2. Let d(h) = 6*a(h) + x(h). Factor d(i).
-2*(i + 1)**2*(