**3 - 1/4*z + x*z**2.
z*(z - 1)*(z + 1)/4
Let g = 401/22 - 195/11. Factor g*i**2 + 0 + 3/2*i.
i*(i + 3)/2
What is d in -52*d + 18*d**4 - 62*d**3 + 8 + 10*d**4 - 30*d**3 + 108*d**2 = 0?
2/7, 1
Let l(d) = 4*d**2 + 5*d - 5. Let x(s) = -3*s**2 - 4*s + 5. Let r(k) = -5*l(k) - 6*x(k). Let w(a) = a**2 + a + 3. Let t(h) = -3*r(h) - 5*w(h). Factor t(b).
b*(b - 2)
Let m = -11/200 + -1/40. Let p = m - -29/50. Factor -1/2*d + 0*d**2 + 0 + p*d**3.
d*(d - 1)*(d + 1)/2
Let r be (2/4)/((-35)/6 - -6). Solve 0 + 0*f**2 + 1/4*f + 0*f**4 + 1/4*f**5 - 1/2*f**r = 0 for f.
-1, 0, 1
Let d(v) be the second derivative of -v**5/130 - 11*v**4/26 - 96*v**3/13 - 256*v**2/13 + 63*v. Determine u, given that d(u) = 0.
-16, -1
Let n(z) be the first derivative of z**6/105 - z**4/42 + z + 10. Let q(k) be the first derivative of n(k). Factor q(w).
2*w**2*(w - 1)*(w + 1)/7
Let r = 7 - 5. Factor -2*h**5 + 3*h**r + 0*h**5 + 4*h**5 - 3*h**4 + 0*h**5 - h**3 - h.
h*(h - 1)**2*(h + 1)*(2*h - 1)
Solve 32/5 + 16/5*z - 4/5*z**3 - 8/5*z**2 = 0.
-2, 2
Let x = 6 - 6. Let s be (1 - (0 + x))*2. Let -1 - 3/2*g - 1/2*g**s = 0. What is g?
-2, -1
Let j(f) be the second derivative of -f**6/105 - f**5/35 - f**4/42 - 18*f. Factor j(n).
-2*n**2*(n + 1)**2/7
Let z(v) be the first derivative of -1/42*v**6 + 1 + 0*v**2 + 1/28*v**4 - 2/35*v**5 + 0*v + 2/21*v**3. Let z(c) = 0. Calculate c.
-2, -1, 0, 1
Let i(t) be the third derivative of -t**9/83160 - t**8/12320 - t**7/6930 - t**4/24 - t**2. Let x(o) be the second derivative of i(o). Let x(a) = 0. Calculate a.
-2, -1, 0
Let d(q) be the first derivative of -q**6/3 + 2*q**5/5 + q**4/2 - 2*q**3/3 + 2. Factor d(z).
-2*z**2*(z - 1)**2*(z + 1)
Let n(v) be the second derivative of v**5/10 + 2*v**4/3 - v**3 - 18*v**2 - 3*v - 2. Let n(j) = 0. Calculate j.
-3, 2
Let s(d) be the third derivative of -d**8/1512 - 2*d**7/945 + d**5/135 + d**4/108 - 9*d**2. Find h such that s(h) = 0.
-1, 0, 1
Let p(x) = -2*x - 9. Let o be p(-6). Let s be -3 + 1 - (1 + -7). Factor -2*j**4 - j - 2*j**3 - s*j**o - 6*j**2 - j.
-2*j*(j + 1)**3
Let m(x) = -11*x**2 - 12*x - 17. Let g(y) = -7*y**2 - 8*y - 11. Let s(k) = -8*g(k) + 5*m(k). Let u be s(-4). Factor u*j - 3 - 3/4*j**2.
-3*(j - 2)**2/4
Let h(r) be the third derivative of 4*r**2 + 0*r + 1/105*r**7 + 0 + 0*r**4 - 1/30*r**6 + 1/30*r**5 + 0*r**3. Find g, given that h(g) = 0.
0, 1
Let t = 34/15 - 8/5. Factor 0*d + 0 + t*d**3 + 2/3*d**2.
2*d**2*(d + 1)/3
Let z = 1899/4 + -474. Solve -3/4*u - z*u**2 - 1/4*u**3 - 1/4 = 0.
-1
Let d(s) = -15*s**3 - 45*s**2 - 22*s - 8. Let j(b) = 10*b**3 + 30*b**2 + 15*b + 5. Let n(r) = 5*d(r) + 8*j(r). Factor n(p).
5*p*(p + 1)*(p + 2)
Suppose -8*y = 8*y - 32. Factor 2*w + 4/3 + 2/3*w**y.
2*(w + 1)*(w + 2)/3
Let x(u) be the first derivative of -u**6/120 + u**4/8 + u**3/3 - 2*u**2 - 3. Let k(l) be the second derivative of x(l). What is o in k(o) = 0?
-1, 2
Factor 2/7*b**2 + 0*b + 0 - 4/7*b**3 + 2/7*b**4.
2*b**2*(b - 1)**2/7
Let w(q) be the second derivative of -q**7/252 - q**6/60 - q**5/40 - q**4/72 + 3*q. Factor w(f).
-f**2*(f + 1)**3/6
Suppose 43*q - 34*q - 18 = 0. Solve -1/4*o + 1/4*o**3 - 1/4*o**4 + 3/4*o**q - 1/2 = 0 for o.
-1, 1, 2
Let m be (-8)/(3 + -6 + 1). Factor -2 + 4 + m*s + 2*s**2 - s**2 + s**2.
2*(s + 1)**2
Factor 80*n + 640 + 5/2*n**2.
5*(n + 16)**2/2
Let g = -6 + 14. Let h = g - 3. Determine d, given that 0*d**4 - 8/5*d**3 + 2/5*d**h - 4/5 + 4/5*d**2 + 6/5*d = 0.
-2, -1, 1
Let s(i) = 2*i**2 + 5*i + 3. Let f be s(-4). Factor -z**3 - z**2 - 15 + f.
-z**2*(z + 1)
Factor 9 - 2*a**3 + 10*a**2 - 144*a + 120*a + 3*a**2.
-(a - 3)**2*(2*a - 1)
Determine y so that 9 + 5*y - 26*y - 3*y**2 + 15*y = 0.
-3, 1
Let t(w) be the third derivative of w**5/240 - 10*w**2. Find p such that t(p) = 0.
0
Factor 5*x + 3 + 3*x**4 + 21*x + 18*x**2 - 38*x - 12*x**3.
3*(x - 1)**4
Suppose 5*w - 6 - 14 = 0. Let s(m) be the first derivative of -1 + 1/4*m**2 + 1/3*m**3 - m - 1/8*m**w. Factor s(r).
-(r - 2)*(r - 1)*(r + 1)/2
Let b(s) be the third derivative of -s**7/3780 + s**5/180 - s**4/8 - s**2. Let t(k) be the second derivative of b(k). Factor t(v).
-2*(v - 1)*(v + 1)/3
Let t(x) = x**5 + 8*x**4 - 8*x**3 - 26*x**2 - 16*x + 1. Let f(u) = 3*u**5 + 15*u**4 - 17*u**3 - 51*u**2 - 31*u + 1. Let g(v) = 3*f(v) - 5*t(v). Factor g(n).
(n - 2)*(n + 1)**3*(4*n + 1)
Suppose 7*l - 7 - 21 = 0. Let d(f) be the first derivative of 1/4*f**l + f + f**3 - 2 + 3/2*f**2. Factor d(x).
(x + 1)**3
Let k(w) be the second derivative of -w**6/150 + w**4/15 + 11*w. Factor k(t).
-t**2*(t - 2)*(t + 2)/5
Let d be ((-15)/(-2))/((-6)/(-8)). Let r be 5/d*8/6. Let 2/3 - r*t**3 - 2*t + 2*t**2 = 0. Calculate t.
1
Let b(h) be the first derivative of 3*h**4/26 + 8*h**3/39 - h**2/13 - 4*h/13 - 11. Factor b(z).
2*(z + 1)**2*(3*z - 2)/13
Let l(y) be the third derivative of 1/6*y**3 + 1/24*y**4 - 1/120*y**6 + 0*y - y**2 - 1/60*y**5 + 0. Let l(o) = 0. Calculate o.
-1, 1
Factor -1 + 2/3*t + 1/3*t**2.
(t - 1)*(t + 3)/3
Let g(o) = 5*o**2 + 10*o + 6. Let q(x) = -6*x**2 - 11*x - 7. Let r(i) = -7*g(i) - 6*q(i). Factor r(h).
h*(h - 4)
Factor 2/13*l**3 + 0 - 2/13*l**2 - 4/13*l.
2*l*(l - 2)*(l + 1)/13
Factor -12*z**4 + 41*z**3 - 4*z**5 + 36*z**3 - 85*z**3.
-4*z**3*(z + 1)*(z + 2)
Let f(m) be the second derivative of -m**10/15120 + m**8/1680 - m**6/360 + m**4/3 - 2*m. Let l(o) be the third derivative of f(o). Factor l(z).
-2*z*(z - 1)**2*(z + 1)**2
Let d(a) = 3*a**3 - 7*a**2 - 3*a + 17. Let j(s) = -3*s**3 + 6*s**2 + 3*s - 18. Let h(i) = 6*d(i) + 5*j(i). Factor h(n).
3*(n - 4)*(n - 1)*(n + 1)
Suppose 5*u**2 - 6*u**2 - 3*u**2 + 3*u**2 = 0. Calculate u.
0
Let -2/7 - 4/7*i - 2/7*i**2 = 0. Calculate i.
-1
Let x(u) = -u + 1. Let n(h) = 4*h + 3 + 2*h - 1 + h**2 + 0*h. Let t(p) = n(p) + 2*x(p). Factor t(s).
(s + 2)**2
Let v(h) = -h**3 + 3*h**2 + 5*h. Let z(p) = -p - 3. Let d be z(-7). Let l be v(d). Factor 0 + 1/2*q + 0*q**3 + 1/4*q**l - 3/4*q**2.
q*(q - 1)**2*(q + 2)/4
Let m(b) be the first derivative of b**4/4 + 5*b**3/3 - 13. Find j, given that m(j) = 0.
-5, 0
Let z = -2/341 + 701/61380. Let b(p) be the third derivative of 0*p - z*p**5 + 0 - 2/9*p**3 + 3*p**2 - 1/18*p**4. Factor b(s).
-(s + 2)**2/3
Let g(r) = -r + 1. Let c(p) = -27*p**4 + 75*p**3 - 36*p**2 - 10*p - 2. Let w(m) = -c(m) - 2*g(m). Factor w(s).
3*s*(s - 2)*(s - 1)*(9*s + 2)
Let i(l) be the second derivative of -1/10*l**5 + 1/3*l**4 - 1/15*l**6 + 0 + 0*l**2 + l + 0*l**3. Let i(y) = 0. What is y?
-2, 0, 1
Suppose m - 3*m = -12. Let l = m - 6. Solve 0*w + 2*w + l*w + 2*w**5 - 4*w**3 = 0.
-1, 0, 1
Let z(s) be the second derivative of -49*s**6/135 + 77*s**5/90 + 131*s**4/27 - 164*s**3/27 + 8*s**2/3 + 15*s. Suppose z(l) = 0. Calculate l.
-2, 2/7, 3
Let u = 10/7 - 53/42. Let b(c) be the first derivative of 2/3*c**2 + u*c**4 - 3 - 2/3*c**3 + 0*c. Factor b(t).
2*t*(t - 2)*(t - 1)/3
Let t(p) = -p**2 + p - 1. Let v(k) = -k**2 + 2*k - 2. Let h(l) = -5*t(l) + 3*v(l). Let j be h(1). Factor 0*b**2 + 0*b**j - b**2 + 4*b - 4.
-(b - 2)**2
Let j be ((-3)/5 - 0) + (-18)/(-30). Factor 0 + j*n**2 - 1/4*n + 1/4*n**3.
n*(n - 1)*(n + 1)/4
Let x(f) = -5*f**5 - 13*f**4 - 17*f**3 - f**2 - 5*f + 5. Let g(l) = l**5 + 3*l**4 + 4*l**3 + l - 1. Let w(o) = 9*g(o) + 2*x(o). Factor w(m).
-(m - 1)**3*(m + 1)**2
Let c be (6/(-4))/((25/5)/(-10)). Let f(x) be the first derivative of c + 0*x + 2/15*x**3 - 2/5*x**2. Factor f(i).
2*i*(i - 2)/5
Suppose -4*w = -58*w. Find q such that 3/4*q**2 + 0*q + w = 0.
0
Let h = -673/5 - -135. Suppose -5*v = -4*y - 20, -2*v + 20 = 3*v. Let 6/5*g**2 - h - 4/5*g**3 + y*g = 0. Calculate g.
-1/2, 1
Suppose 0 = -0*c - 3*c + 4*l, -4*c + 19 = l. Find d such that -22*d**3 + 4*d**4 + 6*d**3 + 5*d**2 + 3*d**2 + 2*d**c = 0.
0, 2/3, 2
Let f(v) = 2*v + 0*v + v**2 - 2*v**2 - 3*v. Let n(d) = -2*d**2 - 2*d. Let l(g) = -6*f(g) + 2*n(g). Let l(q) = 0. What is q?
-1, 0
Let i(y) be the first derivative of -1/6*y**3 + 0*y + 1/10*y**5 - 1 + 0*y**4 + 1/8*y**2 - 1/24*y**6. Solve i(k) = 0.
-1, 0, 1
Let j be 10 + -3 + -3 - (-9)/(-4). Factor -1/2*b**3 + j*b**2 + 0 - 7/4*b**4 + 1/2*b.
-b*(b - 1)*(b + 1)*(7*b + 2)/4
Factor -136/7*i - 1156/7 - 4/7*i**2.
-4*(i + 17)**2/7
Let f(t) be the third derivative of 1/1050*t**7 + 0 - 1/60*t**4 - 1/30*t**3 + 0*t + 1/300*t**6 + 4*t**2 + 0*t**5. Suppose f(g) = 0. Calculate g.
-1, 1
Let w = -101 + 107. Let o(r) be the thir