4*l(i). Factor q(o).
-o*(o + 2)**2
Factor -18*l**2 + 30*l + 25 + 32*l**2 - 9*l**2.
5*(l + 1)*(l + 5)
Find r, given that 6*r - 14*r**3 - 12*r**3 + 12*r**3 + 8*r**2 = 0.
-3/7, 0, 1
Let f = -168 + 170. Suppose 0*y**3 + 0*y - 2/7*y**4 - 2/7 + 4/7*y**f = 0. Calculate y.
-1, 1
Let g be 0/(1/(-1)*-2). Determine z, given that -2 + g - 1 + 2*z**2 + 1 = 0.
-1, 1
Let d(u) be the first derivative of u**6/720 + u**5/80 + u**4/24 - u**3 + 6. Let v(a) be the third derivative of d(a). Factor v(i).
(i + 1)*(i + 2)/2
Let k(f) = -5*f**2 - 17*f - 53. Let r(v) = -16*v**2 - 50*v - 160. Let o(h) = -10*k(h) + 3*r(h). Factor o(y).
2*(y + 5)**2
Factor 4/5*r**4 + 0 - 8/5*r + 6/5*r**3 - 2/5*r**5 - 8/5*r**2.
-2*r*(r - 2)**2*(r + 1)**2/5
Let s(j) be the second derivative of j**10/90720 - j**9/45360 + j**4/12 + 2*j. Let m(z) be the third derivative of s(z). Factor m(i).
i**4*(i - 1)/3
Factor 0 - 4/5*z**4 + 0*z - 2/5*z**5 + 0*z**2 + 0*z**3.
-2*z**4*(z + 2)/5
Let q(j) = 4*j**5 - 20*j**4 + 34*j**3 - 30*j**2 + 8*j. Let m(c) = 4*c**5 - 20*c**4 + 33*c**3 - 31*c**2 + 8*c. Let b(g) = -2*m(g) + 3*q(g). Factor b(r).
4*r*(r - 2)*(r - 1)**3
Factor 8*h + 10*h**2 - 27*h**2 - 26*h**2 + 7*h**2.
-4*h*(9*h - 2)
Let s be ((-42)/(-665))/((-1)/(-15)). Let t = -16/57 + s. Let -2/3*p**2 + t*p + 0 = 0. Calculate p.
0, 1
Let j = -988 - -27659/28. Let p = j - -13/14. Suppose p + 17/4*x - x**4 + 21/4*x**2 + 3/4*x**3 = 0. Calculate x.
-1, -1/4, 3
Let i(j) be the third derivative of j**6/200 - j**5/25 + j**4/10 + 19*j**2. Factor i(u).
3*u*(u - 2)**2/5
Let w = -5 + 7. Let i(n) = 0*n - 2*n + 3*n**w + 3*n. Let x(q) = 7*q**2 + 2*q. Let k(t) = 5*i(t) - 2*x(t). Find d, given that k(d) = 0.
-1, 0
Let s be 2/10 + 32/40. Factor 1 + 2*b + b**2 - 2*b**3 - 4 + s + b**2.
-2*(b - 1)**2*(b + 1)
Suppose 2*l + 8 = -m, 4*l = -m - 11 - 5. Solve 0*c**2 + 0*c + m + 2/3*c**3 = 0 for c.
0
Let k(y) be the second derivative of 5*y**4/48 - y**3/8 - y**2/4 - 6*y. Factor k(w).
(w - 1)*(5*w + 2)/4
Let r(x) be the second derivative of 7*x**6/180 - 2*x**5/15 + x**4/18 + 8*x. Determine l, given that r(l) = 0.
0, 2/7, 2
Let b(z) be the second derivative of z**7/21 - z**5/10 + 9*z. Factor b(u).
2*u**3*(u - 1)*(u + 1)
Find i such that -4/9*i**2 + 0 + 2/9*i**4 - 2/9*i**3 + 0*i = 0.
-1, 0, 2
Suppose -12*h = -9*h. Let b(s) be the first derivative of 1/10*s**5 + 0*s**4 + 1/12*s**6 + 0*s**2 - 1 + h*s**3 + 0*s. Suppose b(j) = 0. Calculate j.
-1, 0
Let i(u) be the second derivative of -u**6/15 + u**5/5 + 14*u. Factor i(t).
-2*t**3*(t - 2)
Let d = -573 + 8602/15. Let o(q) be the second derivative of 0 + 2/5*q**2 + 1/5*q**3 - q - d*q**4. Factor o(u).
-2*(2*u - 1)*(7*u + 2)/5
Let m = -9 + 97/10. Let t(u) be the second derivative of -1/7*u**7 + 8/15*u**6 - m*u**5 + 1/3*u**4 + 0*u**3 + 0*u**2 - u + 0. Factor t(d).
-2*d**2*(d - 1)**2*(3*d - 2)
Let g(a) be the second derivative of a**4/15 - a**3/3 + 3*a**2/5 - 3*a. Factor g(n).
2*(n - 1)*(2*n - 3)/5
Let l(n) = n**2 - n. Let q be l(0). Factor x + x**2 + 0*x**2 - 2*x**2 + q*x.
-x*(x - 1)
Let r = -160 + 160. Solve -3/4*q**3 + 0 + 0*q + r*q**2 = 0.
0
Let a(m) be the first derivative of -2*m**6/3 + 8*m**5/5 - 8*m**3/3 + 2*m**2 - 4. Determine x so that a(x) = 0.
-1, 0, 1
Let o = -14 - -5. Let z(h) = -4*h**3 - h**2 + 13*h + 1. Let s(j) be the second derivative of -j**5/20 + j**3/2 - 7*j. Let a(d) = o*s(d) + 2*z(d). Factor a(y).
(y - 2)*(y - 1)*(y + 1)
Suppose 46*c = 45*c + 3. Let p be 3 + -3 + 4/6. Solve 0*h + 2/3*h**c - 2/9*h**2 + 2/9*h**5 - p*h**4 + 0 = 0.
0, 1
Let v(t) be the first derivative of 0*t + 0*t**2 - 2/5*t**5 + 2/3*t**3 + 0*t**4 - 2. Factor v(i).
-2*i**2*(i - 1)*(i + 1)
Let h be 56/5 - (7 - 1)/6. Solve 259/5*g**4 + h*g**3 + 0 + 196/5*g**5 - 16/5*g**2 - 4/5*g = 0 for g.
-1, -2/7, 0, 1/4
Let g(j) = 6*j**5 - 15*j**4 - 18*j**3 + 9*j**2 + 12*j. Let o(c) = 7*c**5 - 16*c**4 - 18*c**3 + 8*c**2 + 11*c. Let t(r) = 4*g(r) - 3*o(r). Factor t(u).
3*u*(u - 5)*(u - 1)*(u + 1)**2
Let q = 36 - 32. Let s be ((-4)/10)/(2/(-20)). Factor 0*i**3 - i**q - 6*i**3 - s*i**4 + 4*i**3 + 7*i**5.
i**3*(i - 1)*(7*i + 2)
Let o(k) be the second derivative of k**5/150 + k**4/15 + 4*k**3/15 + 5*k**2/2 + k. Let c(t) be the first derivative of o(t). Let c(u) = 0. What is u?
-2
Let g = 1 - -2. Let d = 0 + 4. Factor -2/9*p**d - 4/3*p**g - 26/9*p**2 - 8/9 - 8/3*p.
-2*(p + 1)**2*(p + 2)**2/9
Factor 0*y**2 - 2/5*y**3 - 2/15*y**4 + 0 + 8/15*y.
-2*y*(y - 1)*(y + 2)**2/15
Suppose 0 = -9*n + 5*n. Determine q, given that n*q**2 - q**2 + 2*q + 2*q**2 = 0.
-2, 0
Let y(t) be the second derivative of -t**6/15 + 7*t**5/40 - t**4/12 - t**3/12 + 25*t. Factor y(v).
-v*(v - 1)**2*(4*v + 1)/2
Let t(x) be the third derivative of -x**7/525 + x**5/30 - 4*x**3/15 + x**2 - 13*x. Solve t(w) = 0.
-2, -1, 1, 2
Let b(c) be the second derivative of -c**3/6 - 4*c**2 + 2*c. Let z be b(-11). Factor w**z - 2*w + w**3 + 5*w**4 - 3*w**4 - 2*w**2 + 0*w**3.
2*w*(w - 1)*(w + 1)**2
Suppose 5*g - j - 17 = 0, 0 = 2*j - 9 + 3. Let x(t) be the first derivative of 2 + 0*t**2 - 1/6*t**g + 0*t - 2/9*t**3. Suppose x(d) = 0. What is d?
-1, 0
Let z be -2 + 4 - (2 - 2). Solve z*q - q + 2*q**2 + 2*q**2 - q**3 + 6*q**3 + 2*q**4 = 0 for q.
-1, -1/2, 0
Let s(j) be the first derivative of -j**4/20 + 2*j**3/15 - j**2/10 + 4. Suppose s(q) = 0. What is q?
0, 1
Let v(l) = -l**2 - 4*l + 3. Let k be v(-4). What is h in -3*h**3 - 2*h**3 + 3*h**2 + 2*h**3 + k*h - h**4 - 2*h**4 = 0?
-1, 0, 1
Let c(r) be the first derivative of -r**5/240 - r**4/48 + 3*r**2/2 - 3. Let q(p) be the second derivative of c(p). Suppose q(w) = 0. What is w?
-2, 0
Let g(b) = -6*b**3 - 29*b**2 - 29*b + 5. Let q(c) = 3*c**3 + 14*c**2 + 14*c - 2. Let m(x) = 2*g(x) + 5*q(x). Factor m(z).
3*z*(z + 2)**2
Let q(v) = -v**3 - v + 4. Let s be q(0). What is f in -269*f - 4*f**2 + s + 269*f = 0?
-1, 1
Let z(o) = o + 10. Let w be z(-7). Factor 2*d**2 + 4*d - 4 - w*d**2 + 0.
-(d - 2)**2
Suppose 6*x = -2*l + 2*x, 4 = 3*l + 2*x. Let f be 1 + l - 15/15. Suppose 2/3*u**f + 0 + 0*u = 0. Calculate u.
0
Suppose -t = 2*n - 6, 3*n - 3*t - 4 = 14. Let h(d) be the first derivative of d**n - 2*d**2 - 3 + 2/3*d**5 - 2/3*d - 8/9*d**3. What is r in h(r) = 0?
-1, -1/5, 1
Let i(v) = -v**3 - 4*v**2 - v. Let q be i(-4). Suppose 0*t + 2*a = 3*t - 2, 0 = 5*t - 2*a - 6. Factor 7*c**5 - 3*c**4 + 5*c**2 - c**3 + t*c - 8*c**3 - 2*c**q.
c*(c - 1)**2*(c + 1)*(7*c + 2)
Suppose -a = -5*k + 3 - 30, 5*a - k = 15. What is o in -8/7*o**a - 12/7*o**3 - 2/7*o - 2/7*o**5 + 0 - 8/7*o**4 = 0?
-1, 0
Let u(a) be the third derivative of -a**6/240 + a**5/30 + a**4/48 - a**3/3 - a**2 - 30*a. What is y in u(y) = 0?
-1, 1, 4
What is d in 0 - 2/7*d**2 + 0*d - 2/7*d**3 = 0?
-1, 0
Let v = 241 + -239. What is u in 1/5*u + 2/5 - 1/5*u**v = 0?
-1, 2
Let b(v) = -v**3 + 4*v**2 + 6*v - 3. Let a be b(4). Factor -23*j**4 - 4*j**3 + 0*j + 4*j + a*j**4 + 2*j**2.
-2*j*(j - 1)*(j + 1)*(j + 2)
Suppose -c = 15 - 12. Let v be 14/3 + 2/c. Factor -1/2*u**v + 0*u + 0*u**3 + 0*u**2 + 1/2*u**5 + 0.
u**4*(u - 1)/2
Let b(o) = o**4 - o**3 + o**2 + o - 2. Let i(m) = 5*m**4 - 4*m**3 + 3*m**2 + 4*m - 8. Let f(p) = 9*b(p) - 2*i(p). Factor f(l).
-(l - 1)**2*(l + 1)*(l + 2)
Let w(m) = -15*m**4 + 21*m**3 + 27*m**2 + 21*m + 12. Let g(z) = z**4 + z**2 + z. Let d(v) = -18*g(v) - w(v). Let d(c) = 0. Calculate c.
-4, -1
Let g = -28 + 28. Factor g*d**2 - 1/2*d + 1/2*d**3 - 1/4*d**4 + 1/4.
-(d - 1)**3*(d + 1)/4
Let s be 0/6 + 2*1. Let d = 7 - 4. Factor -3*w**2 + 2*w**4 + w**4 - 6*w**d + 5*w**3 - w + s*w**5.
w*(w - 1)*(w + 1)**2*(2*w + 1)
Suppose -3*v + 99 = -3*a, 130 = 5*v + a + a. Let k be (-2)/(-3)*21/v. Factor 1/2*w**4 + 1/2*w - 1/2*w**2 + 0 - k*w**3.
w*(w - 1)**2*(w + 1)/2
Suppose 11 = 5*l + 1. Let r(a) be the first derivative of 1 + 2/21*a**3 + 4/7*a**l + 8/7*a. Factor r(y).
2*(y + 2)**2/7
Let d(l) be the third derivative of l**8/4200 - l**7/1050 + l**6/900 + l**3/3 - 5*l**2. Let v(s) be the first derivative of d(s). Suppose v(z) = 0. What is z?
0, 1
Let b(c) = -c**2 + 2*c - 3. Let f(o) = 7*o**2 - 13*o + 19. Let r be -3 - (-1 - -4)*1. Let n(d) = r*f(d) - 39*b(d). Let n(s) = 0. What is s?
-1, 1
Let p = -27 - -31. Suppose 2*f = 4*f + p*g - 20, 4 = g. Factor -1/4*u**3 - 1/4*u + 0 + 1/2*u**f.
-u*(u - 1)**2/4
Let q be 5*(-174)/(-270) - 3. Factor 0 - q*b**4 + 2/9*b**3 + 2/9*b**2 - 2/9*b**5 + 0*b.
-2*b**2*(b - 1)*