) = -15*l**5 - 63*l**4 - 81*l**3 + 33*l**2. Let o(j) = j**5 + 4*j**4 + 5*j**3 - 2*j**2. Let d(b) = -2*m(b) - 33*o(b). Factor d(x).
-3*x**3*(x + 1)**2
Let c = -2/13 - -21/52. Suppose c*h**3 - 5/4*h**2 - 1 + 2*h = 0. What is h?
1, 2
Let z(d) = -4*d**5 - 4*d**4 + 100*d**3 + 4*d**2 - 144*d + 96. Let w(s) = s**5 + s**4 - 20*s**3 - s**2 + 29*s - 19. Let q(n) = 16*w(n) + 3*z(n). Factor q(l).
4*(l - 1)**3*(l + 2)**2
Let a(j) be the first derivative of -1/2*j**2 + 4 - 1/3*j**3 + 2*j. Let a(w) = 0. What is w?
-2, 1
Suppose -4*t + 12 + 1 = -o, o + 1 = 0. Let p(d) be the first derivative of 1/15*d**3 - 1/10*d**2 - t + 0*d. Determine r so that p(r) = 0.
0, 1
Let h(x) = -28*x**5 - 76*x**4 - 46*x**3 + 6*x**2 + 6*x - 6. Let k(w) = -29*w**5 - 77*w**4 - 47*w**3 + 7*w**2 + 7*w - 5. Let b(o) = 3*h(o) - 4*k(o). Factor b(c).
2*(c + 1)**3*(4*c - 1)**2
Let s(v) = -v**3 + 63*v**2 - 71*v + 33. Let p(g) = -g**3 + 31*g**2 - 36*g + 16. Let a(w) = -9*p(w) + 4*s(w). Find l, given that a(l) = 0.
2/5, 2, 3
Let z(q) be the second derivative of -q**5/20 + q**4/6 - q**3/6 + q. Determine x, given that z(x) = 0.
0, 1
Let s(c) be the third derivative of -c**7/12600 + c**6/600 - 3*c**5/200 + c**4/12 - 4*c**2. Let d(m) be the second derivative of s(m). Factor d(b).
-(b - 3)**2/5
Let o(a) be the first derivative of -a**5/22 + 2*a**4/11 - 3*a**3/11 + 2*a**2/11 + 5*a + 3. Let g(w) be the first derivative of o(w). Factor g(v).
-2*(v - 1)**2*(5*v - 2)/11
Let r = 52111 - 9536438/183. Let d = -1/61 - r. Let 2/3*l - d*l**2 - 2/3*l**3 + 2/3 = 0. Calculate l.
-1, 1
Suppose 2*j - 8 = -2*b - 0*b, -3*j + 6 = -3*b. Factor 2*d - 45 + 41 - 4*d**j + 4*d**2 + 2*d**3.
-2*(d - 2)*(d - 1)*(d + 1)
Suppose 3*f + 9 = -9. Let a = f - -6. Let 2/11*w**3 + 0*w + 2/11*w**4 - 2/11*w**5 + a - 2/11*w**2 = 0. What is w?
-1, 0, 1
Let g(h) be the second derivative of h**4/15 - 4*h**3/15 + 2*h**2/5 - 2*h. Solve g(y) = 0 for y.
1
Let k(r) be the third derivative of 0 - 1/30*r**5 + 0*r + 1/12*r**4 + 7*r**2 + 0*r**3. Factor k(x).
-2*x*(x - 1)
Let l(q) be the second derivative of -q**4/42 + q**3/21 - 8*q. Let l(v) = 0. What is v?
0, 1
Let k(n) be the third derivative of -n**7/42 + n**5/2 - 5*n**4/3 + 5*n**3/2 - n**2. Factor k(t).
-5*(t - 1)**3*(t + 3)
Suppose 3*i + 3 = -3*b, 0*i = -4*i - 5*b - 9. Let c be -1 + -2 + (i - 1). Solve 2/5*a**2 - 6/5*a**3 + 4/5*a + c = 0.
-2/3, 0, 1
What is l in -1/3*l - 1/3*l**2 + 0 = 0?
-1, 0
Let -1/3*i**3 - 5/3*i + 4/3*i**2 + 2/3 = 0. What is i?
1, 2
Factor 2*k**3 + 2*k**2 + 99*k - 14*k**2 + 12 - 101*k.
2*(k - 6)*(k - 1)*(k + 1)
Let z = 43 - 43. Let s(d) be the second derivative of -1/56*d**7 + z*d**2 + 0 - 3*d - 1/80*d**5 - 1/24*d**6 + 1/48*d**4 + 0*d**3. Factor s(a).
-a**2*(a + 1)**2*(3*a - 1)/4
Suppose d = 4 + 11. Factor 3 - 12*t - 6*t**3 - 5 + 1 - 2 - d*t**2.
-3*(t + 1)**2*(2*t + 1)
Let o(n) be the first derivative of -n**3/6 - 2*n**2 - 8*n - 9. Suppose o(y) = 0. What is y?
-4
Let a(c) be the first derivative of -4*c**5/5 + 16*c**4 - 184*c**3/3 - 288*c**2 - 324*c + 26. Solve a(i) = 0.
-1, 9
Let v(d) be the first derivative of d**6/27 + 2*d**5/3 + 25*d**4/9 + 140*d**3/27 + 5*d**2 + 22*d/9 - 25. Factor v(i).
2*(i + 1)**4*(i + 11)/9
Factor 3*p**3 - 11/4*p**2 + p - 1/8 - 9/8*p**4.
-(p - 1)**2*(3*p - 1)**2/8
Let y be 23/138*(-36)/(-14). Solve 3/7*f**2 - 3/7*f**4 - 3/7*f**3 + 0*f + y*f**5 + 0 = 0.
-1, 0, 1
Let n(b) = b**2 + 6*b - 22. Let g be n(-9). Suppose w + w = -3*h + 14, -2 = -g*h + 2*w. Let -4/7 + 6/7*o - 2/7*o**3 + 0*o**h = 0. Calculate o.
-2, 1
Find y such that 1/4*y**3 + 3/2*y**2 + 0 + 9/4*y = 0.
-3, 0
Let p(j) = -6*j**3 - j**2 + 2*j + 2. Let n be p(-1). Suppose 3/7*l**n + 1/7 - 2/7*l**3 - 1/7*l + 5/7*l**4 - 6/7*l**2 = 0. Calculate l.
-1, 1/3, 1
Let w be (-10)/(-3) + (-8)/6. Let t(d) be the first derivative of w*d - 1 - d**2 + 1/6*d**3. Factor t(y).
(y - 2)**2/2
Let g(c) be the first derivative of -c**8/672 + c**7/210 - c**6/240 + 3*c**2/2 - 3. Let j(b) be the second derivative of g(b). Factor j(t).
-t**3*(t - 1)**2/2
Let r be 2*10/4*(-10)/(-100). Factor -1/2*h**2 + 0*h + 0 - r*h**4 + h**3.
-h**2*(h - 1)**2/2
Let v(g) be the first derivative of g**4/2 - g**2 - 2. Factor v(k).
2*k*(k - 1)*(k + 1)
Let f(h) be the third derivative of -h**7/350 - h**6/300 - 4*h**2. Solve f(q) = 0 for q.
-2/3, 0
Let c = 62 + -185/3. Let y(b) be the second derivative of 0 + 1/3*b**2 - 3*b - c*b**3 + 1/6*b**4 - 1/30*b**5. Find p such that y(p) = 0.
1
Let c(n) be the first derivative of -3*n**4/16 - n**3/8 + 3*n**2/16 - 40. Determine h so that c(h) = 0.
-1, 0, 1/2
Let v(a) be the third derivative of 0*a**6 - 2*a**2 + 0*a + 0*a**5 + 0*a**3 - 1/210*a**7 + 0*a**4 + 0. What is z in v(z) = 0?
0
Find f, given that f**3 + 566*f**2 + 2*f**3 - 563*f**2 = 0.
-1, 0
Let w(h) be the third derivative of 11*h**7/420 + 7*h**6/80 + 3*h**5/40 - h**4/48 - 4*h**2 + 3. Factor w(n).
n*(n + 1)**2*(11*n - 1)/2
What is u in -2/11*u + 0 + 2/11*u**2 = 0?
0, 1
Let z = 3 + -3. Suppose -4*q = 0, 4*n + z*q = 2*q + 16. Factor n*w**2 - 7*w - 2 - 5*w - 2*w**2 + 20.
2*(w - 3)**2
Suppose 14*z - 9 = 11*z. Suppose -2*l - 4*r = -6*l, 5*l - 3*r - 2 = 0. Let f**4 - l - 2*f**4 + 3 - z + 2*f**2 = 0. Calculate f.
-1, 1
Suppose 4*a + 22 = 2*w, 6*w - 4*w - 18 = 3*a. Factor -2/7*k**5 - 2/7*k - 4/7*k**2 + 2/7 + 4/7*k**w + 2/7*k**4.
-2*(k - 1)**3*(k + 1)**2/7
Let s = 25 - 11. Let i be 24/s + 2/7. Find a, given that -2*a + 2*a**3 - 4*a**3 - a**i - 3*a**2 = 0.
-1, 0
Let j(u) = u**3 + 4*u**2 - 6*u - 2. Let y be j(-5). Let z(i) be the first derivative of 4*i**2 + 4*i - i**3 - 1 - y*i**2 + 28*i**3 + 17*i**2. Factor z(o).
(9*o + 2)**2
Let o(z) be the third derivative of z**7/525 - z**6/100 + z**5/50 - z**4/60 - 19*z**2. Factor o(l).
2*l*(l - 1)**3/5
Let w = 6/11 + -1/22. Factor w*o**3 + 1/2*o + 0 - o**2.
o*(o - 1)**2/2
Let w(n) be the second derivative of 1/18*n**4 + 0 - 5*n - 2/3*n**2 - 1/9*n**3. Let w(r) = 0. What is r?
-1, 2
Let f = -17 + 19. Let r = -44 + 48. Find i, given that -4/3*i + 4/3*i**3 - 2/3 + 0*i**f + 2/3*i**r = 0.
-1, 1
Let j(b) be the third derivative of -b**6/200 + b**5/100 + b**4/40 - b**3/10 - 10*b**2. Suppose j(p) = 0. Calculate p.
-1, 1
Let x(t) = 0*t**2 + 2*t**2 + 10*t - 2 - 3*t - 3*t**2. Let n be x(6). Suppose 0 + 1/5*q**3 - 1/5*q + 1/5*q**2 - 1/5*q**n = 0. Calculate q.
-1, 0, 1
Let s(a) be the first derivative of -a**6/105 + a**4/42 + a + 1. Let j(k) be the first derivative of s(k). Solve j(c) = 0.
-1, 0, 1
Let m be -2*(1 - (-9)/2). Let g(h) = -9*h**2 + 9*h - 12. Let v(y) = 17*y**2 - 18*y + 23. Let a(n) = m*g(n) - 6*v(n). Factor a(q).
-3*(q - 2)*(q - 1)
Let y(b) be the first derivative of -14*b**5/5 - b**4 + 14*b**3 + 20*b**2 + 8*b + 5. Determine i so that y(i) = 0.
-1, -2/7, 2
Let k(l) be the first derivative of l**5 - 5*l**4/2 - 20*l**3/3 + 5*l**2 + 15*l + 1. Factor k(x).
5*(x - 3)*(x - 1)*(x + 1)**2
Find i such that 2/3*i - 2/9 + 20/9*i**2 = 0.
-1/2, 1/5
Let f = 199 - 2179/11. Factor 0 + 8/11*s**3 + 4/11*s - f*s**2 - 2/11*s**4.
-2*s*(s - 2)*(s - 1)**2/11
Suppose 5*m = 1 + 4. Let w be ((-7 - 2)/(-3))/m. Find p such that 49*p**4 + 1 + 26*p**w + 20*p - 3*p**2 + 3 - 96*p**3 = 0.
-2/7, 1
Let u(p) = -p**2 - 13*p + 20. Let v be u(-14). Find b such that 6*b + v*b**3 - b**3 + 13*b**3 - 13*b**2 - 8*b**2 = 0.
0, 1/2, 2/3
Let h(t) be the second derivative of 3*t**5/40 + t**4/24 - 3*t. Find n such that h(n) = 0.
-1/3, 0
Determine x, given that 0 + 1/10*x**2 + 1/10*x**3 + 0*x = 0.
-1, 0
Let n(b) be the first derivative of 2*b**5/15 - 5*b**4/12 - b**3/3 + 16. Factor n(r).
r**2*(r - 3)*(2*r + 1)/3
Let l(j) be the second derivative of j**4/36 + 2*j**3/9 + j**2/2 - 6*j. Factor l(v).
(v + 1)*(v + 3)/3
Let v(p) = 2*p**2 - 23*p + 58. Let o be v(8). Solve 19/4*z**o - 1 + z - z**3 - 15/4*z**4 = 0 for z.
-1, -2/3, 2/5, 1
Solve -14 + 4*a + 14 + 12*a**2 = 0.
-1/3, 0
Let r(c) be the third derivative of 2*c**7/315 - c**6/45 - c**5/15 + 2*c**4/9 + 8*c**3/9 - 24*c**2. Factor r(q).
4*(q - 2)**2*(q + 1)**2/3
Let d(c) be the first derivative of 3*c**4/8 - c**3 + 3*c**2/4 - 4. Factor d(u).
3*u*(u - 1)**2/2
Let d(s) = s**3 - 4*s**2 - 5*s + 2. Let a be d(5). Let k = a - -1. Factor 6*t + 3 - 1 - 2*t**3 + t**3 - k*t.
-(t - 2)*(t + 1)**2
Let y(g) = 2*g - 2. Let l be y(2). What is b in -b**4 + 1 - 3*b - 6*b**2 - 4*b**3 - l - b = 0?
-1
Let w(z) be the third derivative of 