*4 - 5*l**3 - 5/4*l**2 + 5*l + 0.
5*l*(l - 4)*(l - 1)*(l + 1)/4
Find d, given that -2*d + 0 - 7/2*d**3 - 8*d**2 = 0.
-2, -2/7, 0
Find v, given that 9/2*v**4 + 3/2*v**3 + 9/2 - 3/4*v**5 - 3/4*v - 9*v**2 = 0.
-1, 1, 6
Find d such that 4*d**3 - d**2 + 5*d**2 - 2*d - 5*d - d = 0.
-2, 0, 1
Let d(g) be the second derivative of -g**5/10 + g**4/6 + 2*g**3/3 + 7*g. Factor d(c).
-2*c*(c - 2)*(c + 1)
Let c(d) be the first derivative of -2*d**5/65 - d**4/26 + 2*d**3/39 + d**2/13 + 5. What is u in c(u) = 0?
-1, 0, 1
Let j = 14 - 7. Factor -2*v**2 + 6*v + j*v**2 - 3*v**2 + 4.
2*(v + 1)*(v + 2)
Let t = 3193/1820 + -2/455. What is u in 0 + 3*u**3 + t*u**2 + 1/4*u = 0?
-1/3, -1/4, 0
Let k(s) be the third derivative of 49*s**6/540 - 7*s**5/90 - 2*s**4/9 - 4*s**3/27 + 2*s**2. Factor k(w).
2*(w - 1)*(7*w + 2)**2/9
Let d(b) = -51*b**2 - 96*b + 48. Let a(w) = -13*w**2 - 24*w + 12. Let z(v) = -9*a(v) + 2*d(v). Solve z(g) = 0 for g.
-2, 2/5
Suppose 0 = 3*i - i - 4. Factor 7*a**i - 4*a**2 + 2*a**2 - 4*a**2 + 1 - 2*a.
(a - 1)**2
Factor -3*y - 6*y**3 - y**2 + 3*y**2 + 3*y + 4*y.
-2*y*(y - 1)*(3*y + 2)
Let l(y) be the second derivative of y**6/20 - 3*y**5/20 + y**3/2 - 3*y**2/4 + 14*y. Factor l(j).
3*(j - 1)**3*(j + 1)/2
Let t(a) be the first derivative of -1/20*a**5 + 1/3*a**3 - a**2 + 1/8*a**4 + 11 + 0*a. Solve t(l) = 0 for l.
-2, 0, 2
Let m(k) be the first derivative of k**7/300 + k**6/180 - k**5/150 + k**3/3 + 5. Let w(x) be the third derivative of m(x). Let w(g) = 0. Calculate g.
-1, 0, 2/7
Let t(r) be the third derivative of -r**5/480 + r**3/48 - 10*r**2. Find d such that t(d) = 0.
-1, 1
Let b(o) be the third derivative of -o**7/1120 - o**6/288 - o**5/240 - o**3/6 - o**2. Let y(a) be the first derivative of b(a). Let y(s) = 0. Calculate s.
-1, -2/3, 0
Let q(o) = 31*o**2 + 146*o + 44. Let t(x) = 125*x**2 + 585*x + 175. Let b(r) = 15*q(r) - 4*t(r). Let b(l) = 0. What is l?
-4, -2/7
Let y(j) be the first derivative of -3*j**5/25 + 3*j**4/20 + 4*j**3/5 - 6*j**2/5 - 45. Suppose y(d) = 0. What is d?
-2, 0, 1, 2
Determine y so that 0 + 16/7*y**3 - 20/7*y**2 + 8/7*y - 4/7*y**4 = 0.
0, 1, 2
Let t be -74*(-9)/126 + 4/(-14). What is l in 0 - 6*l**4 - 4*l**3 - 2/3*l**2 + 0*l - 8/3*l**t = 0?
-1, -1/4, 0
Let v(l) be the first derivative of -l**4/8 - l**3/6 + l**2/2 + 21. Solve v(r) = 0 for r.
-2, 0, 1
Let d = -21 - -23. Let c(w) be the second derivative of 1/10*w**5 + 0*w**4 + w + 0*w**d + 0 - 1/3*w**3. Factor c(s).
2*s*(s - 1)*(s + 1)
Let g = 1371 + -1369. What is z in -g*z + 0*z**3 + 2 - 27/2*z**2 + 27/2*z**4 = 0?
-2/3, 1/3, 1
Suppose 4 = f + 1. Solve 3*z**3 - 3*z - 4 + 4 - f*z**4 + 6*z**2 - 3*z**2 = 0 for z.
-1, 0, 1
Suppose 4*l - 2*x - 32 = 0, 4*x + 4 = 3*l - 5*l. Suppose 12*m**2 - 13*m**2 + 1 - 5*m - m**3 + l*m = 0. What is m?
-1, 1
Let w(a) be the first derivative of -7*a**5/5 + 13*a**4/2 - 9*a**3 + 2*a**2 + 4*a - 3. Factor w(i).
-(i - 2)*(i - 1)**2*(7*i + 2)
Let v = -10 + 16. Suppose 3*g - 11 - 1 = 0. Find f, given that -2*f**3 - 3*f**4 - 2*f**2 + v*f**3 + f**g = 0.
0, 1
Let v be ((-15)/3)/10*0. Let i(p) be the first derivative of 3 + 1/12*p**3 + v*p - 1/8*p**2. Factor i(k).
k*(k - 1)/4
Let n = 9 - -15. Let i be 3*1 + (-18)/n. Factor 1/4 - 6*h**3 - 2*h + i*h**4 + 11/2*h**2.
(h - 1)**2*(3*h - 1)**2/4
Let a(d) be the first derivative of 8 - 6/25*d**5 - 7/5*d**4 + d**2 + 3/5*d**6 + 4/15*d**3 + 2/5*d. Determine o, given that a(o) = 0.
-1, -1/3, 1
Let t(s) be the first derivative of -s**3/3 - 7*s**2/2 + 4*s - 4. Let y(h) = -h**2 - 6*h + 3. Let n = -13 + 8. Let l(g) = n*y(g) + 4*t(g). Factor l(v).
(v + 1)**2
Let g(q) be the first derivative of 5 + 1/9*q**3 - 1/3*q**2 + 1/3*q. Factor g(k).
(k - 1)**2/3
Let r(i) be the first derivative of 1/12*i**4 - 1/3*i**3 + 2*i + 1/2*i**2 + 4. Let o(j) be the first derivative of r(j). What is x in o(x) = 0?
1
Let u(l) = -4*l**3 + 7*l**2 - 4*l. Let a(h) = -h**3 + h**2 - h. Let r(c) = 5*a(c) - u(c). Factor r(j).
-j*(j + 1)**2
Let p(w) = w**2 + 8*w + 12. Let o be p(-6). Suppose o = -0*f + 2*f - 4. Solve 3/5*l**f + 0 + 3/5*l = 0 for l.
-1, 0
Suppose q - 3 = -0. Suppose 4*s**q - 4*s**4 + 0*s**2 + 2*s**4 + 0*s**3 - 2*s**2 = 0. Calculate s.
0, 1
Factor 28*v**4 + v**2 - 9*v**2 + 28*v**3 + 8*v**4.
4*v**2*(v + 1)*(9*v - 2)
Let q(n) = n + 1. Let r be q(-11). Let i = -8 - r. Determine d, given that -2*d**i + 4/3*d + 2/3 = 0.
-1/3, 1
Let u = 0 + 4. Suppose 7*q - 2*q - 25 = -5*l, 3*q - 1 = 4*l. Factor -3*f**2 + 0*f**u + 4*f**4 - 2*f**5 + l*f - f**2.
-2*f*(f - 1)**3*(f + 1)
Let v = -965/18 - -280/9. Let h = 23 + v. Determine m, given that 1/2*m**2 + 0 - 1/2*m**3 + 1/2*m - h*m**4 = 0.
-1, 0, 1
Let w(p) be the third derivative of 1/1176*p**8 + 0*p**3 + 0 + 0*p + 2/105*p**5 - 3*p**2 + 4/735*p**7 + 1/70*p**6 + 1/84*p**4. Solve w(r) = 0.
-1, 0
Let m(u) = 3*u**4 + 129*u**3 + 333*u**2 + 189*u - 18. Let v(j) = j**4 + 37*j**3 + 95*j**2 + 54*j - 5. Let q(l) = 5*m(l) - 18*v(l). Factor q(n).
-3*n*(n + 1)*(n + 3)**2
Let 27/2*z - 27/2*z**3 - 3 + 3*z**2 = 0. Calculate z.
-1, 2/9, 1
Let o = -7/47 + 773/141. Let d be -2 + 2 + 3 + 5. Factor -4*p**2 - d*p - o - 2/3*p**3.
-2*(p + 2)**3/3
Let q(r) be the second derivative of r**5/80 + r**4/16 - r**3/24 - 3*r**2/8 - 3*r. Factor q(n).
(n - 1)*(n + 1)*(n + 3)/4
Solve 1536/5 - 576/5*t + 72/5*t**2 - 3/5*t**3 = 0.
8
Suppose -3*g + 4*n + 29 = -0*n, 3*n + 30 = 5*g. Suppose 0 = -3*h - h. Factor -3*m**3 + h*m**4 + g*m**3 - 4*m**3 - 2*m**4 - 2*m**2.
-2*m**2*(m + 1)**2
Let z(u) be the third derivative of u**7/560 - 3*u**5/160 - u**4/32 - 5*u**2. Factor z(m).
3*m*(m - 2)*(m + 1)**2/8
Let f(j) = -4*j**2 + 120*j - 894. Let p(d) = -1. Let r(g) = f(g) + 6*p(g). What is n in r(n) = 0?
15
Factor 4/9 - 4/9*d**2 + 2/3*d.
-2*(d - 2)*(2*d + 1)/9
Let s(m) be the third derivative of -m**5/240 + 5*m**4/96 - m**3/4 + 25*m**2 + 2. Factor s(n).
-(n - 3)*(n - 2)/4
Let n(o) be the second derivative of o**7/42 - o**6/120 - 3*o. Determine b so that n(b) = 0.
0, 1/4
Let g(p) be the second derivative of -3*p**5/20 - 20*p. Factor g(i).
-3*i**3
Solve 4*o**4 + 0 + 4/3*o**5 + 4/3*o**2 + 4*o**3 + 0*o = 0 for o.
-1, 0
Let j(c) be the third derivative of c**8/672 + c**7/140 - c**6/120 - c**5/20 + c**4/48 + c**3/4 + 2*c**2 - 14. Determine i so that j(i) = 0.
-3, -1, 1
Let v be (-2)/36*4/(-140). Let f(u) be the third derivative of 0*u**6 + 0 - 1/90*u**5 + 0*u**4 + 1/18*u**3 + v*u**7 + 0*u - 3*u**2. Let f(t) = 0. What is t?
-1, 1
Let v = 6/167 + 280/1503. Factor -2/9*t - v*t**3 + 4/9*t**2 + 0.
-2*t*(t - 1)**2/9
Let y(o) be the third derivative of -3*o**2 + 0*o + 0 + 1/72*o**4 + 0*o**5 + 1/1008*o**8 - 1/180*o**6 + 0*o**7 + 0*o**3. Factor y(g).
g*(g - 1)**2*(g + 1)**2/3
Suppose -2*m = -3*w + 3 - 1, 3*w = 3*m + 6. Let i be (2/12)/((-1)/m). Factor 2*f**3 + 0 - i*f**4 + 0*f - 4/3*f**2.
-2*f**2*(f - 2)*(f - 1)/3
Let f(t) be the first derivative of t**4/4 - 2*t**3/3 + t**2/2 + 2. What is k in f(k) = 0?
0, 1
Let t(q) be the first derivative of -q**7/420 - q**6/90 + q**5/60 + q**4/6 + 8*q**3/3 - 2. Let u(d) be the third derivative of t(d). Factor u(m).
-2*(m - 1)*(m + 1)*(m + 2)
Let b(m) = 3*m + 47. Let h be b(-15). Let t(a) be the second derivative of 0*a**2 + 0*a**3 - 1/105*a**7 + 0 - 1/75*a**6 + h*a + 0*a**5 + 0*a**4. Factor t(j).
-2*j**4*(j + 1)/5
Suppose -2*m - 2 = l + m, 2*l + 2*m = 12. Suppose 0 + l = 5*g. Factor -a**2 + 0*a**g - a**2 - 2 - 4*a.
-2*(a + 1)**2
Let f(n) = -n**3 - n**2 + n + 1. Let l(k) = -20*k**3 - 24*k**2 + 12*k + 32. Let x(m) = 24*f(m) - l(m). Factor x(a).
-4*(a - 1)**2*(a + 2)
Let q(o) be the third derivative of -3/70*o**7 + 1/2*o**4 - 2*o**3 + 5*o**2 + 7/20*o**5 - 1/10*o**6 + 0*o + 0. Solve q(h) = 0.
-2, -1, 2/3, 1
Let n(w) be the first derivative of -w**6/18 + w**4/3 - 2*w**3/9 - w**2/2 + 2*w/3 + 38. Factor n(k).
-(k - 1)**3*(k + 1)*(k + 2)/3
Let q be (4/3)/(2/36). Suppose 3*f - 4*y = -2*f + q, 0 = 5*f + 5*y - 15. Factor -3*p**2 + 4 - 2*p - p**f + 6*p + p**3 - 5*p**3.
-(p - 1)*(p + 1)*(p + 2)**2
Let q(z) be the third derivative of -z**5/90 - z**4/6 - z**3 + 34*z**2. Determine r, given that q(r) = 0.
-3
Let f = 1784/7 + -5463/28. Let i = 60 - f. Solve -l**2 + 0 - l - i*l**3 = 0.
-2, 0
Let -3*k**4 + 0 + 0*k - 15/4*k**3 - 3/2*k**2 - 3/4*k**5 = 0. What is k?
-2, -1, 0
Let z = 13 - 9. Suppose -r + 14 = z*r - 4*l, -4*l - 10 = -3*r. Factor 1/3*q**r + 1/3 -