**4 + 2*z**3 + 7*z**3 + 4*z**5 + 2*z**3 + h*z**3 + j*z**2.
2*z*(z + 1)**3*(2*z + 1)
Let w(j) = j - 3. Let d be w(7). Factor -2/3*r + 1/3 + 0*r**2 - 1/3*r**d + 2/3*r**3.
-(r - 1)**3*(r + 1)/3
Let g(c) be the first derivative of c**6/540 + c**5/135 + c**4/108 - 4*c**2 - 9. Let k(z) be the second derivative of g(z). Solve k(o) = 0 for o.
-1, 0
Let j(z) be the first derivative of -z**5/15 + 2*z**3/3 + 4*z**2/3 + z + 3. What is y in j(y) = 0?
-1, 3
Let o be -4*((-6)/56)/(15/10). Factor 0 + o*m**2 + 4/7*m.
2*m*(m + 2)/7
Let b(a) = 10*a + a**3 + 8*a + 5*a**2 - 14*a. Let z be b(-4). Solve 0 + z*g + 2/3*g**2 = 0.
0
Let u(m) be the first derivative of -2*m**5/25 + 4. Factor u(z).
-2*z**4/5
Factor 6*t**2 + 1 - 5*t - 7 + 8*t + 18*t - 21*t**3.
-3*(t - 1)*(t + 1)*(7*t - 2)
Let d = 3 - 0. Suppose -2*y - 4*c = 11 - d, -5*c = 10. Let -1/2*i**3 + y*i - 1/2*i**2 + 0 = 0. Calculate i.
-1, 0
Let c(r) = -4*r**2 + 8*r + 7. Let u = -10 + 21. Let m(s) = 2*s**2 - 4*s - 4. Let t(h) = u*m(h) + 6*c(h). Determine g so that t(g) = 0.
1
Let s(r) = -5*r**2 - 58*r - 2. Let l(p) = 36*p**2 + 408*p + 15. Let q(f) = -2*l(f) - 15*s(f). Factor q(c).
3*c*(c + 18)
Let 0 + 2/5*x + 9/5*x**2 + 7/5*x**3 = 0. Calculate x.
-1, -2/7, 0
Let 7*i + i**2 + 1 - 2*i - 3*i - 4*i = 0. What is i?
1
Let g = -4 + 10. Let o(q) = 10*q**2 - 8*q - 5. Let y(l) = -l**2 + l + 1. Let d(w) = g*y(w) + 2*o(w). Solve d(m) = 0.
-2/7, 1
Let c(h) be the first derivative of -1/12*h**4 - 7/6*h**2 - h - 2 - 5/9*h**3. Find i, given that c(i) = 0.
-3, -1
Let j(b) be the third derivative of b**6/30 + 8*b**5/15 + 8*b**4/3 + 35*b**2. Factor j(u).
4*u*(u + 4)**2
Let b be 0 - -3 - (0 - -1). Let i = 13 + -11. Find o such that 4*o**2 - 4 + 2*o**i + 3*o**4 + b*o - 2*o**3 - 5*o**4 = 0.
-2, -1, 1
Let c(n) = -7*n**3 - 23*n**2 - 2*n**2 - 3*n**3 - 7*n**3 - 25*n + 9. Let d(m) = -4*m**3 - 6*m**2 - 6*m + 2. Let z(f) = 6*c(f) - 26*d(f). Solve z(u) = 0.
-1
Suppose 3*k + 5*m = 29, -3*k - 2*m + 80 = 2*k. Factor 2*h**4 - 39*h**2 - 12 - k*h**3 - 36*h - 4*h**4 - h**4.
-3*(h + 1)**2*(h + 2)**2
Let l(f) be the first derivative of f**4/28 + f**3/7 + f**2/7 + 18. Factor l(q).
q*(q + 1)*(q + 2)/7
Suppose -l - j = -2 - 1, 0 = 4*l + 3*j - 9. Solve 1/2*d + 1/2*d**3 - d**2 + l = 0 for d.
0, 1
Let a(c) be the second derivative of -c**5/150 - c**4/30 - c**3/15 - 3*c**2/2 + 3*c. Let f(g) be the first derivative of a(g). Solve f(d) = 0 for d.
-1
Let c = 72 + -67. What is a in 0*a**2 - 1/2*a**c + 1/2*a**4 + 0 + 0*a + 0*a**3 = 0?
0, 1
Let r = 17 + -12. Factor 8*y**2 + y**r + 3*y**5 + 0*y**2 - 6*y**3 - 2*y**3 - 4*y**4 - 4 + 4*y.
4*(y - 1)**3*(y + 1)**2
Let h(f) be the second derivative of -f**7/21 - f**6/9 - f**5/30 + f**4/18 - 10*f. Solve h(a) = 0 for a.
-1, 0, 1/3
Let k(i) be the first derivative of 1/9*i**3 - 2/3*i + 5 + 1/6*i**2. Solve k(h) = 0 for h.
-2, 1
Suppose -4*c = -5*l + 2*l - 5, 0 = 2*c - l - 1. Let o be 1*-4 - (c - 5). Factor -1/4*u**o - 1 + u.
-(u - 2)**2/4
Let u(x) be the first derivative of x**6/10 + 6*x**5/25 + 3. Factor u(k).
3*k**4*(k + 2)/5
Suppose -3*n - 2 = -s - 4*n, -4*s + 4*n = -32. Determine u, given that -4 + 3*u + 5 + 3*u**2 + s*u**3 - 4*u**3 = 0.
-1
Let x = 35 + -31. Let 0*i**3 - 1/6*i**5 + 0 + 0*i + 0*i**2 + 1/6*i**x = 0. Calculate i.
0, 1
Suppose -3*f + a = -74, -5*f - 20 = 3*a - 134. Suppose 4*j - 13 = -3*c, 2*c = -5*j + 6*c + f. Solve 8*b**3 + 2*b**5 - 3*b**j - 5*b**4 + 0*b**5 = 0 for b.
0, 2
Let g(s) = s + 4. Let n be g(-4). Let j = n - -7. Let 2*h**4 + 9*h**2 + j*h + 3 - 1 + 5*h**3 - h**4 = 0. What is h?
-2, -1
Factor -z**2 - z**2 + 5*z**3 + 152*z**5 - 151*z**5 + z**4 - 5*z**4.
z**2*(z - 2)*(z - 1)**2
Let r(w) be the first derivative of w**6/8 - 3*w**5/20 - 9*w**4/16 + 5*w**3/4 - 3*w**2/4 + 26. Find f, given that r(f) = 0.
-2, 0, 1
Let r(z) = -3*z**5 - 11*z**4 + 5*z**3 - 5. Let t(g) = -3*g**5 - 10*g**4 + 4*g**3 - 4. Let f(o) = 4*r(o) - 5*t(o). Factor f(x).
3*x**4*(x + 2)
Let m(a) be the second derivative of 0 + 2*a + 0*a**2 + 1/4*a**4 + 1/2*a**3. Solve m(o) = 0.
-1, 0
Let z(v) be the third derivative of 2*v**7/105 + v**6/15 + v**5/15 + 3*v**2. Factor z(m).
4*m**2*(m + 1)**2
Let t = 4 + -7. Let j(m) = -2*m**2 - 2*m + 3. Let a = -27 - -31. Let q(g) = -3*g**2 - 3*g + 4. Let s(x) = a*j(x) + t*q(x). Factor s(b).
b*(b + 1)
Suppose 2*r = 4*r + 2. Let n be (-4)/r*(-2)/(-4). Let 6*s + 14/3*s**n + 4/3 = 0. What is s?
-1, -2/7
Let x = 1 - -2. Factor -2 + 3*k - 9*k - 1 - x*k**2.
-3*(k + 1)**2
Factor 0*o + 75/4*o**3 + 0 + 15/4*o**4 + 1/4*o**5 + 125/4*o**2.
o**2*(o + 5)**3/4
Let l be (-2)/(-8) - (1 - (-25)/(-12)). Let l + 2/3*h**2 + 2*h = 0. What is h?
-2, -1
Let u be (-8)/(-10)*(-2 - 3). Let g be ((-5)/(-2))/((-2)/u). Factor 4*l**2 + 3*l**5 + 12*l**3 + 24*l**4 - 2*l**2 + 13*l**g.
2*l**2*(2*l + 1)**3
Let j = -3 + 5. Determine q so that -4*q**j + 6 - 6 - q**3 - q**3 - 2*q = 0.
-1, 0
Let n = 130 + -65. Factor 74*k**2 + 150*k**4 - n*k**3 + 77*k**5 + 48*k**5 - 216*k**2 - 8 - 60*k.
(k - 1)*(k + 1)*(5*k + 2)**3
Let a(x) be the third derivative of -x**6/180 - 64*x**2. Find p such that a(p) = 0.
0
Let s(r) = -r**2 + 5*r - 6. Let a(t) = -t + 5. Let u(o) = o - 4. Let n(p) = -3*a(p) - 4*u(p). Let i(w) = 6*n(w) + s(w). Find b such that i(b) = 0.
-1, 0
Let k(s) = s**2 + 1. Let b be k(-2). Suppose -2*d + 10 = -q, 0*d - b = q - d. Find n such that 4/5*n**4 + 0 + 2/5*n**3 + 0*n + q*n**2 + 2/5*n**5 = 0.
-1, 0
Suppose 2*a - 4*t + 6 = -t, -3*a + 21 = 3*t. Factor s**2 + 2*s - 14*s**3 - 1 + 15*s**3 - a*s.
(s - 1)*(s + 1)**2
Let n(y) = y**3 + 6*y**2 + y + 4. Let h be n(-5). Let x be ((-3)/2)/((-18)/h). Determine m, given that -x*m**2 + 4*m - 2*m + 3 + 1 = 0.
-1, 2
Suppose 4*c - 10 = -2*x, 0*x - 3*c = x - 6. Suppose 0 = 3*m + 3, h + h - 7 = -x*m. Solve 0*u**2 + 2/3*u**4 + 0*u**3 + 0 - 1/3*u**h + 0*u = 0.
0, 2
Let o(s) = 2*s**2 - s - 7. Let k be o(-2). Factor 2/7 - 2/7*d**k + 2/7*d - 2/7*d**2.
-2*(d - 1)*(d + 1)**2/7
Suppose 0 = z - 4*i + 18, -8*z + 3*z + 2*i = 0. Find m such that 12*m - 18/5 - 10*m**z = 0.
3/5
Factor 0 - 4/11*n**3 - 12/11*n + 26/11*n**2.
-2*n*(n - 6)*(2*n - 1)/11
Let t(z) be the third derivative of -z**5/270 + z**4/27 + 13*z**2. Factor t(u).
-2*u*(u - 4)/9
Let v(z) be the third derivative of z**8/960 - z**7/1260 - 7*z**6/720 + z**5/60 - z**4/12 + z**2. Let c(a) be the second derivative of v(a). Solve c(g) = 0.
-1, 2/7, 1
Let x(s) = 4*s - 36. Let c be x(10). Let t(y) be the second derivative of 0 - 2/3*y**3 - y**2 + y - 1/6*y**c. Suppose t(f) = 0. Calculate f.
-1
Let z(p) = 2*p**2 - 2*p + 11. Let t = 19 - 14. Let a(b) = 9*b**2 - 9*b + 45. Let o(h) = t*a(h) - 21*z(h). Factor o(f).
3*(f - 2)*(f + 1)
Let d(w) = w**2 + 55. Let f be d(0). Suppose -5*b + f = -3*u, 2*b - 25 = 3*u - 3. Factor t**3 - 11*t + b*t + t**2.
t**2*(t + 1)
Let t(l) = 2*l**4 - 4*l**3 - 8*l + 4. Let m(f) = f**3 - f**2 + f. Let q(u) = 6*m(u) + t(u). Find r such that q(r) = 0.
-2, -1, 1
Let x(z) = -3*z - 7. Let w be x(-5). Let v = 8 - w. Factor 0*a + a**2 + 2*a + v + 1.
(a + 1)**2
Suppose 0 = 3*l - 5*c - 9 - 25, l + 3*c = -12. Suppose -l*m = t + 4*t - 31, -5*t + 25 = 0. Solve 0*g - 1/7*g**m + 1/7 = 0 for g.
-1, 1
What is q in -2 + 1/2*q**2 - 3/2*q = 0?
-1, 4
Let s = -559 + 559. Factor 0*w + 1/3*w**3 + 1/3*w**2 + s.
w**2*(w + 1)/3
Let i be (-8)/(-21) + 14/49. Determine q so that -1/3*q**2 + 0 - i*q = 0.
-2, 0
Factor 3/7*t**3 + 15*t - 33/7*t**2 - 75/7.
3*(t - 5)**2*(t - 1)/7
What is l in -2*l**2 - 1/2*l**3 - 2*l + 0 = 0?
-2, 0
Let c(m) = 6*m**3 - 5*m**2 - 11*m. Let p(j) be the second derivative of j**5/20 - j**4/12 - j**3/3 + 2*j. Let i(q) = 2*c(q) - 11*p(q). Factor i(t).
t**2*(t + 1)
Let v(m) be the first derivative of -m**2 - m + 0*m**3 + 1/6*m**4 + 2. Let a(b) be the first derivative of v(b). Factor a(z).
2*(z - 1)*(z + 1)
Let b = 9 - 7. Suppose 0*p = b*p - 6. Factor -10/7*q**p - 2*q**2 + 16/7*q + 8/7.
-2*(q - 1)*(q + 2)*(5*q + 2)/7
Let x = -9 + 14. Let q(w) be the second derivative of 1/3*w**2 + 0 - 1/45*w**6 - 2/9*w**3 + 1/15*w**x + 0*w**4 - w. Factor q(h).
-2*(h - 1)**3*(h + 1)/3
Factor -12*i**5 - 7*i - 8*i**2 + 3*i + 8*i**4 + 12*i**5 + 4*i**5.
4*i*(i - 1)*(i + 1)**3
Let k(q) = -q**2 + 5*q - 1. Let h(r) = -r**2 + 6*r - 2. Let f(s) = 5*h(s) - 6*k(s). Solve f(d) = 0 for d.
-2, 2
Let a(z) be the first derivative of -9*z**4 + 28*z**3/3 + 40*z**2 + 16*z + 9. Factor a(u).
-4*(u - 