-4)/42. Let s(v) = 3*v**2 + v - 2. Let l(y) = 10*y**2 + 3*y - 7. Let w(u) = q*l(u) - 7*s(u). Factor w(z).
-z*(z + 1)
Let -3*a**2 + 0*a + 0 - 3/4*a**3 = 0. Calculate a.
-4, 0
Let t(d) be the second derivative of d**5/40 + 5*d**4/12 + 25*d**3/12 + 9*d - 1. Suppose t(y) = 0. Calculate y.
-5, 0
Solve 3/4 + 1/4*r**2 - r = 0 for r.
1, 3
Let l(p) be the third derivative of -1/2*p**4 + 0*p + 0 + 0*p**3 - 7*p**2 + 1/15*p**5. Factor l(q).
4*q*(q - 3)
Let w(h) = -h**2 - 4*h + 10. Let q be w(-5). Let m(g) be the second derivative of 2/5*g**q - g**2 - 4/3*g**3 + g + 0 + 1/6*g**4. Factor m(p).
2*(p - 1)*(p + 1)*(4*p + 1)
Let p(g) = -5*g**4 + 15*g**3 - 18*g**2 + 8*g - 3. Let t(i) = -5*i**4 + 15*i**3 - 19*i**2 + 9*i - 4. Let v(y) = -4*p(y) + 3*t(y). Factor v(d).
5*d*(d - 1)**3
Factor 7/9*m**5 + 0*m + 2*m**2 + 0 + 17/3*m**3 - 40/9*m**4.
m**2*(m - 3)**2*(7*m + 2)/9
Let q(o) = 3 - 5 + o - 2*o. Let x be q(-5). Determine f, given that -2/3 - 4/3*f**x + 0*f**2 + 4/3*f + 2/3*f**4 = 0.
-1, 1
Let c(a) = -9*a**2 - 8*a + 1. Let i(x) = -3*x**2 - 3*x. Let l(t) = 3*c(t) - 8*i(t). Factor l(o).
-3*(o - 1)*(o + 1)
Let i be ((-3)/(-2))/(9/24). Suppose 0 = -4*f + 2*a - 6, i*f + 2*a - 6 = -0*a. Factor f*p**2 + p**4 + 0*p**3 - 2*p**3 + p**2.
p**2*(p - 1)**2
Let d(i) = -3*i**4 + 2 - i**5 - 2*i + i + 4*i**3 + i**4. Suppose -3*o + 0*o + 3 = 0. Let p(t) = t**4 - t**3 - 1. Let w(v) = o*d(v) + 2*p(v). Solve w(n) = 0.
-1, 0, 1
Solve 0 + 0*y - 2*y**3 - 4/5*y**2 + 14/5*y**4 = 0 for y.
-2/7, 0, 1
Suppose -4*h + 9 = -3. Let k be (-4 + 7)*(-20)/(-15). What is i in -4/11*i**k - 8/11*i**2 - 2/11*i - 10/11*i**h + 0 = 0?
-1, -1/2, 0
Factor -3/5*w + 0 + 3/5*w**2.
3*w*(w - 1)/5
Let b(z) = -2*z**2 - 184*z + 1528. Let t(s) = -s**2 - 61*s + 509. Let m(p) = -3*b(p) + 8*t(p). Find v, given that m(v) = 0.
16
Let -2 - 15*j + 9 + 5*j**3 + 3 = 0. What is j?
-2, 1
Let b(k) be the third derivative of k**5/15 + k**4/6 - 9*k**2. Factor b(c).
4*c*(c + 1)
Let l(t) = 6*t - 5. Let n(f) = -17*f + 14. Let g(b) = -11*l(b) - 4*n(b). Let r be g(4). Find u, given that -u**2 - 7*u + r*u = 0.
0
Let s be ((-6)/2)/((-1)/1). Factor -4*a + 4*a**s + 49*a**4 - 45*a**4 - 3*a**2 - a**2.
4*a*(a - 1)*(a + 1)**2
Suppose 3*j = -j + 100. Suppose 5*r - j = 0, 4*r - 32 = -2*q - q. What is p in 5*p**2 - 2*p - q*p + 4 - p**3 - 2*p = 0?
1, 2
Let b be (-44)/(-78)*(-27)/(-40). Let u = b + 1/52. Factor 6/5*r + 2/5 + 6/5*r**2 + u*r**3.
2*(r + 1)**3/5
Let v = 1049907/61220 + 4/15305. Let f(i) be the second derivative of i - 4*i**2 + 0 + v*i**5 - 49/2*i**4 + 14*i**3. Factor f(b).
(7*b - 2)**3
Find u, given that 0*u + 6*u**2 + 15/2*u**4 + 0 + 3/2*u**5 + 12*u**3 = 0.
-2, -1, 0
Suppose 0 = -2*y - 0*y + 48. Suppose -4*n = -0*n - y. Factor -w + n*w**2 + 2*w - 7*w**2.
-w*(w - 1)
Let q(v) be the third derivative of 0 + 1/180*v**5 + 0*v**4 + 1/540*v**6 + 0*v + 1/2*v**3 - v**2. Let n(k) be the first derivative of q(k). Factor n(z).
2*z*(z + 1)/3
Factor 1/8*q + 1/8*q**3 + 1/4*q**2 + 0.
q*(q + 1)**2/8
Let p be (-7)/((-21)/6) + 3. Let c(n) be the first derivative of 0*n + 0*n**4 - 1/21*n**6 - 4/21*n**3 + 1/7*n**2 + 4/35*n**p + 1. Factor c(i).
-2*i*(i - 1)**3*(i + 1)/7
Let t(k) be the third derivative of 1/15*k**5 + 1/21*k**3 + 0 - 1/14*k**4 - 4/105*k**6 + 3/245*k**7 - 6*k**2 + 0*k - 1/588*k**8. Factor t(y).
-2*(y - 1)**4*(2*y - 1)/7
Let x(q) be the second derivative of q**6/5 - 2*q**5/5 + q**4/6 - 10*q. Factor x(y).
2*y**2*(y - 1)*(3*y - 1)
Suppose -4*k = -0*k - 2*q - 18, 0 = 5*k - 5*q - 25. Factor 3/4*m - 3/4*m**2 - 3/4*m**3 + 0 + 3/4*m**k.
3*m*(m - 1)**2*(m + 1)/4
Let y be (6/9)/(2/(-3))*0. Let l(b) be the first derivative of 1 + y*b + 1/3*b**3 + 1/15*b**5 + 1/6*b**2 + 1/4*b**4. What is g in l(g) = 0?
-1, 0
Let i = -143/2 - -72. Let a(y) be the first derivative of -110/21*y**3 - i*y**4 - 4*y**2 + 118/35*y**5 - 8/7*y - 1 + 5/3*y**6. What is s in a(s) = 0?
-1, -2/5, -2/7, 1
Let t(y) be the third derivative of y**8/1848 - y**7/1155 - y**6/330 + y**5/165 + y**4/132 - y**3/33 + 2*y**2 + 11*y. Factor t(r).
2*(r - 1)**3*(r + 1)**2/11
Let j be (3 + 124/(-40))*-6. Let c = 87 + -434/5. Factor -1/5*x**3 + x + j + c*x**2.
-(x - 3)*(x + 1)**2/5
Factor -15*x**3 - 2*x**2 - 10*x**2 + 18*x - 27*x**2 + 0*x**2.
-3*x*(x + 3)*(5*x - 2)
Suppose -t = 2*f + 4*t - 27, 3*f - 3*t - 9 = 0. Factor 7*b**2 - b - 8*b**3 + b + f*b**4 - 5*b**2.
2*b**2*(b - 1)*(3*b - 1)
Let l(w) = 16*w**3 - 18*w + 2. Let m(n) = -5*n**3 + 6*n - 1. Let s be (-1)/(-2) - (-15)/6. Let c(z) = s*l(z) + 10*m(z). Factor c(x).
-2*(x - 1)**2*(x + 2)
Let z = 30 - 27. Let a(l) be the third derivative of -1/300*l**6 + 0*l + 0 + 0*l**4 + 1/150*l**5 + 2*l**2 + 0*l**z. Factor a(t).
-2*t**2*(t - 1)/5
Factor 0 - 3/2*s**2 + 0*s - 1/2*s**3.
-s**2*(s + 3)/2
Let t = 24 + -22. Let 0*x**3 - 2*x + 4*x**3 - t*x**3 = 0. What is x?
-1, 0, 1
Let z(q) be the first derivative of 1/6*q**3 - 1/8*q**2 + 0*q + 2 - 1/16*q**4. Factor z(y).
-y*(y - 1)**2/4
Let z = 27 + -24. Find u, given that 0*u + 0 + 6/7*u**4 - 2/7*u**5 - 6/7*u**z + 2/7*u**2 = 0.
0, 1
Let y be 25/(-112) + 12/42. Let r(u) be the first derivative of 1/4*u**3 - 1 - 3/8*u**2 - y*u**4 + 1/4*u. Factor r(w).
-(w - 1)**3/4
Let b(z) be the second derivative of -1/8*z**4 + z - 1/2*z**3 + 0 - 3/4*z**2. Let b(n) = 0. What is n?
-1
Let a(b) be the first derivative of b**7/735 - b**6/140 + b**5/70 - b**4/84 - b**2 + 1. Let f(y) be the second derivative of a(y). Factor f(u).
2*u*(u - 1)**3/7
Let u(c) be the first derivative of c**4/6 - 2*c**3/3 + 2*c**2/3 + 6. Determine v so that u(v) = 0.
0, 1, 2
Let u(b) be the third derivative of b**8/112 - b**7/14 + b**6/5 - b**5/5 + 14*b**2. Factor u(k).
3*k**2*(k - 2)**2*(k - 1)
Let z = -4 + 9. Factor 2*h**z - 6*h**3 + 9*h**2 - 19*h**2 - 4*h - 3*h**4 + 5*h**4.
2*h*(h - 2)*(h + 1)**3
Let b(m) be the second derivative of m**6/180 + m**5/15 + m**4/3 + m**3/2 - 2*m. Let u(q) be the second derivative of b(q). Let u(j) = 0. What is j?
-2
Let h(a) be the third derivative of a**7/1680 - a**6/320 + a**5/160 - a**4/192 - 6*a**2. Factor h(d).
d*(d - 1)**3/8
Let i be 22/6 - 6/9. Factor -8*o**2 - 3*o**i + 3*o**4 + 3*o**4 + 3*o + 0*o + 2*o**2.
3*o*(o - 1)*(o + 1)*(2*o - 1)
Suppose -12*a - 14 = -19*a. Let b(k) be the second derivative of a*k - 1/10*k**5 + 0 + 1/3*k**3 + 0*k**4 + 0*k**2. Factor b(d).
-2*d*(d - 1)*(d + 1)
Let c(n) be the third derivative of 1/6*n**3 + 0 + 0*n**5 + 3*n**2 - 1/240*n**6 + 1/16*n**4 + 0*n. Factor c(j).
-(j - 2)*(j + 1)**2/2
Let x(u) be the second derivative of -u**6/60 + u**5/20 + u**4/8 - u**3/3 - u**2 + 2*u. Factor x(b).
-(b - 2)**2*(b + 1)**2/2
Let l(u) be the second derivative of 2*u + 1/3*u**4 - 2/3*u**3 + 0 - 4*u**2. Factor l(g).
4*(g - 2)*(g + 1)
Let j be 12/10*(5 + -12 + 8). Factor j*g**2 - 4/5 + 2*g.
2*(g + 2)*(3*g - 1)/5
Let c(h) = 4*h**3 + 20*h**2 + 29*h + 19. Let s(v) = 12*v**3 + 60*v**2 + 86*v + 58. Let z = -17 - -14. Let g(p) = z*s(p) + 10*c(p). Let g(y) = 0. Calculate y.
-2, -1
Let b = 244 + -728/3. Find z, given that b - 4/3*z + 1/3*z**2 = 0.
2
Let u be 2 + 1*-9 - -3. Let j(t) = -t**2 - 2*t + 3. Let i(r) = 1. Let w(x) = u*i(x) + j(x). Factor w(o).
-(o + 1)**2
Let j(i) be the second derivative of -7*i**5/80 + i**4/3 - 11*i**3/24 + i**2/4 - 9*i. Factor j(s).
-(s - 1)**2*(7*s - 2)/4
Let s(k) = -15*k**2 - 23*k - 8. Let u(h) = 8*h**2 + 12*h + 4. Let n(d) = -6*s(d) - 11*u(d). Factor n(q).
2*(q + 1)*(q + 2)
Let s(p) = p**5 - p**4 - 2*p**2 + 2*p - 2. Let z(q) = -9*q**5 + 9*q**4 + 21*q**2 - 21*q + 21. Let i(x) = -21*s(x) - 2*z(x). Factor i(u).
-3*u**4*(u - 1)
Let x(r) be the first derivative of 1/6*r**4 - 2/45*r**5 + 4 + 0*r - 2/9*r**3 + 1/9*r**2. Find j such that x(j) = 0.
0, 1
Let x = 24 + -28. Let j(p) = -p**3 - 6*p**2 - 7*p + 6. Let b be j(x). Factor 1/3*w**b + 0 + 0*w.
w**2/3
Determine y so that 0 - 4/11*y**3 + 10/11*y**4 - 10/11*y**2 + 4/11*y = 0.
-1, 0, 2/5, 1
Let t(h) be the first derivative of -2*h**3/3 + 5*h**2 - 12*h - 24. Factor t(o).
-2*(o - 3)*(o - 2)
Let v(w) be the first derivative of w - 2 - 1/54*w**4 - 1/27*w**3 + 2/9*w**2. Let g(f) be the first derivative of v(f). Find t, given that g(t) = 0.
-2, 1
Let w(l) be the first derivative of 0*l - 4/9*l**3 + 1/6*l**4 + 4/15*l**5 - 1/9*l**6 - 1 + 0*l**2. Solve w(r) = 0 for r.
-1, 0, 1, 2
Let s be (-2)/((-9)/(108/8)). Let -2/3 - 2/3*o**5 + 2*o**4 + 2*o - 4/3*o**s - 4/