erivative of -4/3*n**3 + 0*n + 1 - 3/2*n**4 + n**2. Factor t(o).
-2*o*(o + 1)*(3*o - 1)
Let v(n) = n**5 + 3*n**4 + 2*n**2 - 6*n - 5. Let x(y) = -y**5 - 2*y**4 - 2*y**2 + 5*y + 4. Suppose -10 = 4*b - 26. Let c(u) = b*v(u) + 5*x(u). Factor c(o).
-o*(o - 1)**3*(o + 1)
Let w(r) be the third derivative of -r**8/56 + 9*r**7/70 - 2*r**6/5 + 7*r**5/10 - 3*r**4/4 + r**3/2 - 5*r**2. Determine t, given that w(t) = 0.
1/2, 1
Let i(l) = l**3 + 7*l**2 + 7*l + 9. Let n be i(-6). Determine t, given that 3*t - t + n*t**2 + t**2 - 3*t**2 = 0.
-2, 0
Let k(a) be the first derivative of 3/4*a**4 + a**3 + 1/2*a**2 + 1/5*a**5 - 1 + 0*a. Determine y, given that k(y) = 0.
-1, 0
Let a be 4/1 - 46/12. Let h(o) be the second derivative of 0*o**3 + a*o**4 + 0*o**2 + 0 + 1/15*o**6 + 1/5*o**5 - 3*o. Factor h(l).
2*l**2*(l + 1)**2
Let m(o) = o + 9. Let v be m(6). Let p be 5/v*1/1. Let 2/3*y**3 - p*y**2 + 0*y - 1/3*y**4 + 0 = 0. Calculate y.
0, 1
Let n be ((-3)/(-9))/(3/(-90)*-5). Let f(o) be the first derivative of 2 - 4/15*o**5 - 1/3*o**n + 4/9*o**3 + 0*o + 0*o**4 + 1/9*o**6. What is c in f(c) = 0?
-1, 0, 1
Let h(u) = 9*u**2 - 15*u + 6. Let d(z) = -z**3 + z**2 - z. Let p(a) = 2*d(a) + h(a). Suppose p(w) = 0. What is w?
1/2, 2, 3
Let k(n) be the second derivative of -1/2*n**2 + 1/210*n**5 - 2/21*n**3 + 0 + 1/84*n**4 + 2*n. Let p(c) be the first derivative of k(c). Factor p(m).
2*(m - 1)*(m + 2)/7
Suppose -t + 4 = 3*t. Let k be t + 6/(-2) + 3. Factor -2 + h**3 + 9 + 6*h**2 + k + 12*h.
(h + 2)**3
Suppose 5*p - 116 = p. Find j, given that -12*j**3 + 8*j - 14*j**5 - 13*j**3 - 8*j**2 - p*j**3 - 52*j**4 = 0.
-2, -1, 0, 2/7
Let i(t) be the third derivative of -t**6/480 - t**5/240 + t**4/96 + t**3/24 - 26*t**2. Determine p, given that i(p) = 0.
-1, 1
Determine k, given that -8/7 + 16/7*k + 2/7*k**3 - 10/7*k**2 = 0.
1, 2
Let c(w) = -14*w**5 + 2*w**4 - 8*w**2 - 8. Let s(q) = 9*q**5 - q**4 + 5*q**2 + 5. Let r(j) = -5*c(j) - 8*s(j). Factor r(b).
-2*b**4*(b + 1)
Let d(y) be the second derivative of 2*y + 0 + 1/4*y**4 - 3*y**3 + 27/2*y**2. Let d(c) = 0. Calculate c.
3
Let x(g) = 19*g**3 - 50*g**2 + 32*g - 12. Let o(h) = 18*h**3 - 49*h**2 + 33*h - 11. Let p(s) = -4*o(s) + 3*x(s). Factor p(a).
-(a - 2)*(3*a - 2)*(5*a - 2)
Let n = -6 + 8. Let o = 45 + -45. Factor 0*s + 0 + 1/2*s**3 + o*s**n.
s**3/2
Let 4/11 - 6/11*f + 2/11*f**2 = 0. Calculate f.
1, 2
Determine f so that 162*f**3 - 167*f + 16 + 188*f**2 + 31*f + 69*f**2 - 5*f**2 = 0.
-2, 2/9
Let l(s) = 14*s**4 + 20*s**3 - 26*s**2 - 8*s + 2. Let v(g) = g**2 + 5*g + 6. Let z be v(-4). Let h(w) = w**3 - w**2 + 1. Let u(t) = z*h(t) - l(t). Factor u(x).
-2*x*(x - 1)*(x + 2)*(7*x + 2)
Let c(a) be the first derivative of a**3/21 - a**2/7 + a/7 + 4. Factor c(r).
(r - 1)**2/7
Factor 0*p + 1/4*p**2 + 1/4*p**5 + 3/4*p**4 + 3/4*p**3 + 0.
p**2*(p + 1)**3/4
Factor 60/7*k**2 - 2*k**3 + 12/7 - 58/7*k.
-2*(k - 3)*(k - 1)*(7*k - 2)/7
Let j = -909 - -4553/5. Factor -8/5 - 2/5*k**2 - j*k.
-2*(k + 2)**2/5
Suppose -3*w - 10 + 31 = 0. Let f be w/5 - (-15)/(-25). What is d in -3/5*d**5 + f*d**4 - 4/5*d**2 + 0 + 1/5*d + 2/5*d**3 = 0?
-1, 0, 1/3, 1
Let z(f) be the third derivative of f**7/2940 + f**6/1260 - 2*f**3/3 + f**2. Let l(m) be the first derivative of z(m). Factor l(a).
2*a**2*(a + 1)/7
Let w be 1 - 1 - 0/(-2). Let l be (0 - 3/(-6))*w. Determine f so that -2*f**5 + 2*f**2 - 4*f**4 + 2*f**2 + 2*f + l*f**2 = 0.
-1, 0, 1
Let g = -1 + 5. Suppose -g*j = -9 + 1. Factor -2*n**2 - 2*n**5 + n - 8 - 17*n - 7*n**3 + 17*n**3 + j*n**4.
-2*(n - 2)**2*(n + 1)**3
Solve -7*n**2 - n - n - n**3 - 4*n**3 = 0.
-1, -2/5, 0
What is g in -12*g**4 - 13*g**4 - 20*g - 20*g**2 + 58*g**3 - 6*g**3 + 13*g**3 = 0?
-2/5, 0, 1, 2
Suppose 3 + 6 = -3*d. Let n(x) = -x + 1. Let g be n(d). Solve 3 - 6*p**2 - p - 4*p**g - 9*p**3 - 3 = 0.
-1, -1/4, 0
Let k(p) be the first derivative of -p**3/18 + p**2/3 - p/2 - 9. Find i such that k(i) = 0.
1, 3
Let m(k) = -k**2 - 6*k. Let z be m(-6). Let g(h) be the second derivative of 0*h**2 + 1/90*h**5 - 1/27*h**3 + z + h + 0*h**4. Factor g(o).
2*o*(o - 1)*(o + 1)/9
Factor -1/11*s + 0 - 4/11*s**2 + 1/11*s**3 + 4/11*s**4.
s*(s - 1)*(s + 1)*(4*s + 1)/11
Solve 14/5*x**2 - 8/5 + 0*x - 2/5*x**3 - 6/5*x**4 + 2/5*x**5 = 0 for x.
-1, 1, 2
Let r be -1 - (5/(-2) - 6/12). Factor 2/9*m**r - 2/9*m**3 + 2/9*m - 2/9.
-2*(m - 1)**2*(m + 1)/9
Factor 3*d - 2 + 2 + 3*d - 3 - 3*d**2.
-3*(d - 1)**2
Let c(x) be the second derivative of x**5/270 - x**4/27 + 4*x**3/27 - 3*x**2 - 3*x. Let i(n) be the first derivative of c(n). Factor i(t).
2*(t - 2)**2/9
Let w(r) be the first derivative of 2*r**3/21 - 2*r**2/7 - 7. Factor w(g).
2*g*(g - 2)/7
Let g(a) be the first derivative of -2*a**3/3 + 8*a - 4. Solve g(t) = 0 for t.
-2, 2
Let v = -13 - -16. Factor 9*x**3 + 17*x**3 - 32*x**v - 6*x + 15*x**2.
-3*x*(x - 2)*(2*x - 1)
Factor 6*i - 27*i**4 - 27*i**2 + 35*i**3 + 25*i**3 + 0*i**2 - 12*i**2.
-3*i*(i - 1)**2*(9*i - 2)
Let u(f) = -2*f + 30. Let k be u(13). Factor 1/2*o**2 - 1/2*o**3 + 0 + 0*o - 1/2*o**k + 1/2*o**5.
o**2*(o - 1)**2*(o + 1)/2
Let n(v) be the second derivative of 0 - 1/3*v**2 + 2*v - 2/9*v**3 - 1/18*v**4. Determine r so that n(r) = 0.
-1
Let g(h) be the first derivative of 4 - 1/6*h**3 + 0*h - 1/8*h**2 + 0*h**4 + 1/10*h**5 + 1/24*h**6. Factor g(b).
b*(b - 1)*(b + 1)**3/4
Let q(a) be the third derivative of -a**7/735 - a**6/105 - a**5/42 - a**4/42 - 11*a**2. Factor q(d).
-2*d*(d + 1)**2*(d + 2)/7
Let k(p) be the first derivative of p**8/84 + 2*p**7/35 + p**6/15 - p**2/2 + 4. Let x(j) be the second derivative of k(j). Solve x(a) = 0 for a.
-2, -1, 0
Let u(b) be the third derivative of -b**5/15 - b**4/6 + 4*b**3/3 - 14*b**2. Solve u(h) = 0.
-2, 1
Let d = 29/330 + 2/165. Let w(f) be the second derivative of -f**3 - f**2 + f - d*f**5 - 1/2*f**4 + 0. Factor w(x).
-2*(x + 1)**3
Suppose 2 + 3*g**2 - 5 - 3 - 3*g = 0. What is g?
-1, 2
Let h(q) be the third derivative of q**8/448 + q**7/280 - q**6/80 - 17*q**2. Factor h(j).
3*j**3*(j - 1)*(j + 2)/4
Suppose 0 = -r - 5*i - 10, 2 = -2*r - 5*i - 3. Solve -2*x**r + 2*x**3 - 6*x**4 + 3 - 3 + 4*x**2 + 2*x**4 = 0.
-2, -1, 0, 1
Let r(f) be the third derivative of -3*f**7/175 + f**6/100 + 13*f**5/75 - 7*f**4/15 + 8*f**3/15 - 8*f**2. Find s, given that r(s) = 0.
-2, 2/3, 1
Let m(f) be the first derivative of -1/3*f**3 + f**2 - f + 2. Factor m(d).
-(d - 1)**2
Let x be -2 + (140/8)/7. Let v(a) be the second derivative of 1/6*a**3 - 1/12*a**4 - 1/20*a**5 - a + x*a**2 + 0. Find o such that v(o) = 0.
-1, 1
Let r(g) = g**3 + 2*g**2 + 2*g + 1. Suppose 4*k = 0, -y - 5*k = -8*k + 1. Let f be r(y). Factor f - 4/9*x**3 + 0*x + 14/9*x**4 + 0*x**2.
2*x**3*(7*x - 2)/9
Factor 4/3*x + 0 - 4/3*x**2 + 1/3*x**3.
x*(x - 2)**2/3
Let x(o) = o**3 - 10*o**2 + 8*o + 13. Let f be x(9). Suppose 2*h**3 + 3*h**f - 4*h**4 - h**3 = 0. What is h?
0, 1
Suppose 5*h = 3*h - 12. Let l be 4/(-12) - 22/h. Let l*r**3 - 10/3*r + 2*r**4 - 2/3*r**2 - 4/3 = 0. What is r?
-1, -2/3, 1
Let c = 19 - 103. Let b be 2/9 - c/27. Find m, given that 4/3*m - b*m**2 + 0 = 0.
0, 2/5
Suppose 4*j - 6 = 6*j. Let b be 3 - 1*(j - -2). Solve 2*f**3 - 4*f**b + 2*f**4 + 0*f**4 = 0 for f.
0, 1
Find h such that -8/3*h - 2/3*h**2 - 8/3 = 0.
-2
Let o = 2 + 0. Suppose o*m = -2 + 6. Factor 4*c**4 + 8*c**3 + m*c**5 - 2*c**2 - 2*c**3 - 10*c**4.
2*c**2*(c - 1)**3
Let c = -17 + 20. Let k = 6 - c. Factor 0 + 1/2*g - 1/4*g**2 - 1/4*g**k.
-g*(g - 1)*(g + 2)/4
Let l(g) be the first derivative of -2/5*g + 1/15*g**3 - 1/10*g**2 - 2. Factor l(i).
(i - 2)*(i + 1)/5
Let i(w) be the second derivative of -w**4/48 + w**3/4 - 9*w**2/8 - w. Factor i(y).
-(y - 3)**2/4
Solve -16/7*a**3 - 24/7*a**2 - 4/7*a**4 - 4/7 - 16/7*a = 0 for a.
-1
Let w(t) be the third derivative of 0 + t**2 - 1/60*t**5 - 1/6*t**3 + 1/300*t**6 + 0*t + 1/30*t**4. Let x(j) be the first derivative of w(j). Factor x(r).
2*(r - 1)*(3*r - 2)/5
Let j = -30120 - -2560231/85. Let w = j + 4/17. Find c such that 0*c + 0 - 3/5*c**3 - w*c**2 = 0.
-1, 0
Factor 0 - 2/5*n**3 + 0*n + 2/5*n**2.
-2*n**2*(n - 1)/5
Let -10*f**3 + 19*f**4 - 10*f**2 - 60*f**4 + 5 + 5*f**5 + 5*f + 23*f**4 + 23*f**4 = 0. Calculate f.
-1, 1
Let g(j) be the second derivative of 2*j + 0*j**5 + 1/1440*j**6 + 0*j**2 + 0 + 0*j**4 - 1/6*j**3. Let r(m) be the second derivative of g(m). Factor r(f).
f**2/4
Suppose 