/(-29 - -30). Factor 1/4*j**5 - 1/2*j**4 + 0*j**3 - 1/4*j + l*j**2 + 0.
j*(j - 1)**3*(j + 1)/4
Factor -13*j**2 + 3*j**2 + 0 - 6 + 8*j**2 + 10*j - 2*j**3.
-2*(j - 1)**2*(j + 3)
Let x be ((-12)/(-30))/((-2)/(-3)). Let f be (9/2)/((-10)/(-4)). Solve 12/5*n - x - f*n**2 = 0.
1/3, 1
Suppose -3*v + 4*v + 7 = 4*j, 0 = -5*v + 5. Let n = -1 + 3. Factor 3*y**3 - j*y**4 + 2*y**5 + y**n + 5*y**4 - y**5.
y**2*(y + 1)**3
Suppose -8 + 28 = 10*t. Factor -2/3*d**t + 0 + 0*d.
-2*d**2/3
Factor 2/13*v**2 - 16/13*v + 32/13.
2*(v - 4)**2/13
Suppose -k + 5*s = 3*k + 5, 0 = 2*k + s - 1. What is b in -2/7*b**5 + 0 + k*b**2 - 2/7*b + 4/7*b**3 + 0*b**4 = 0?
-1, 0, 1
Let y = -9 - -12. Let q(k) be the third derivative of 0*k**5 - 1/60*k**6 + 1/48*k**8 + 0 + 0*k**4 + 0*k - 2*k**2 - 1/42*k**7 + 0*k**y. Factor q(f).
f**3*(f - 1)*(7*f + 2)
Let b(p) be the first derivative of 2*p**3/15 + 4*p**2/5 + 6*p/5 - 6. Factor b(x).
2*(x + 1)*(x + 3)/5
Factor -2*n + 14*n + 4*n**2 + 73 - 65.
4*(n + 1)*(n + 2)
Let f be (36/16)/(6/8). Determine r, given that -2/5*r + 0 - 2*r**f - 8/5*r**2 - 4/5*r**4 = 0.
-1, -1/2, 0
Let v = -15 - -19. Find b such that -1 - 2*b**v - 3*b + 12*b**3 + 27*b - 3 - 4 - 26*b**2 = 0.
1, 2
Let r(c) = 623*c**2 - 98*c + 4. Let y(w) = 2491*w**2 - 391*w + 16. Let h(m) = 9*r(m) - 2*y(m). Factor h(t).
(25*t - 2)**2
Let o be -1 + -1 + 1 + 5. Suppose -3*x - o*m = -4, 0*m = 5*x + 4*m - 12. Factor 0*p**4 + x*p**2 - 2*p**4 - 2*p**2.
-2*p**2*(p - 1)*(p + 1)
Let b be (-5)/((-15)/9) - 3. Let j(g) be the second derivative of g + 0*g**3 - 1/20*g**5 + 0*g**2 - 1/12*g**4 + b. Factor j(l).
-l**2*(l + 1)
Suppose -5*d = 2*t - 25, -t - 6*d = -2*d - 17. Let j(y) be the first derivative of -1/5*y**t - 1/4*y**4 + 1/3*y**3 + 0*y - 1 + 1/2*y**2. Factor j(f).
-f*(f - 1)*(f + 1)**2
Let f(x) be the first derivative of x**4/2 + 2*x**3/3 - 7. Determine m so that f(m) = 0.
-1, 0
Let o(t) be the second derivative of -t**7/210 + t**6/80 + t**5/40 + t**4/4 - 3*t. Let c(s) be the third derivative of o(s). Factor c(m).
-3*(m - 1)*(4*m + 1)
Let g(u) be the third derivative of u**5/300 + u**4/30 - u**3/6 - 2*u**2. Let g(h) = 0. What is h?
-5, 1
Let z = 63/2 + -31. Factor -1 + z*s**2 + 1/2*s.
(s - 1)*(s + 2)/2
Let t be ((-14)/63)/(1 + 10/(-6)). Determine h, given that -1/6*h**3 + 0 + t*h**2 - 1/6*h = 0.
0, 1
Let u = 205/273 - 7/39. Determine i so that 0 + u*i**2 + 2/7*i**3 + 2/7*i = 0.
-1, 0
Let n be 9*(5 + -1)/12. Let b(l) be the first derivative of -2*l + 3*l**2 - 2 + 7/6*l**n. Find k, given that b(k) = 0.
-2, 2/7
Factor 2*b**2 + 16*b - 18*b + 4 - 8.
2*(b - 2)*(b + 1)
Suppose -16*k - 44 = -38*k. Let -8/11*u**4 + 0 + 0*u + 0*u**k + 2/11*u**3 = 0. Calculate u.
0, 1/4
Let c(g) = -g. Let w be c(-5). Factor -37*p**4 + 2*p**2 + 2 + 30*p**4 - 2 - w*p**3.
-p**2*(p + 1)*(7*p - 2)
Let y(x) be the third derivative of x**6/24 - 11*x**5/12 - 125*x**4/24 - 65*x**3/6 - 8*x**2 + 4*x. Factor y(g).
5*(g - 13)*(g + 1)**2
Let x(z) = z**5 - z**4 + z**3 + z**2 + z. Let j(d) = 4*d**5 - 4*d**4 + 20*d**3 - 12*d**2 + 16*d. Let l(c) = j(c) - 8*x(c). Factor l(w).
-4*w*(w - 1)**3*(w + 2)
Suppose 0 = -0*r - 3*r + 18. Factor -i**2 - r*i**2 + 3*i**2 + 2 - i + 3*i**2.
-(i - 1)*(i + 2)
Suppose 2*z = -3*z + 10. Suppose -11*c**5 + 2*c**3 + 3*c**3 + 6*c + 2*c**5 + 15*c**z - 2*c**3 - 15*c**4 = 0. Calculate c.
-1, -2/3, 0, 1
Let p(b) = -b**3 + 3*b**2 - b + 2. Let s be p(2). Suppose 0 = -2*y + s*h + 32, 2*y - 4*h - 35 = h. Find t such that -3 - 2*t + y*t**2 - 8*t**3 + 3 = 0.
0, 1/4, 1
Factor -2*a + 7*a - 3 + 25*a**2 - 27.
5*(a - 1)*(5*a + 6)
Let j(k) be the third derivative of 0*k**5 - k**2 + 1/60*k**6 + 0 + 0*k**4 + 0*k + 1/105*k**7 + 0*k**3. Factor j(r).
2*r**3*(r + 1)
Let o(x) be the third derivative of x**5/150 + x**4/90 - 3*x**2. What is d in o(d) = 0?
-2/3, 0
Let c be 4/10 + (1544/(-160) - -10). Let c + 1/4*k**2 - k = 0. Calculate k.
1, 3
Let b(n) = -n**2 - 8*n + 20. Let v be b(-10). Let u(c) be the first derivative of -5/8*c**4 - 3 + 4/3*c**3 + v*c + c**2. What is y in u(y) = 0?
-2/5, 0, 2
Factor -2/9*x**2 - 2/9 + 4/9*x.
-2*(x - 1)**2/9
Let p = 0 + 0. Let f(s) be the second derivative of -1/27*s**4 + p*s**2 + 0 + 4/135*s**6 + 1/63*s**7 - 2*s - 1/90*s**5 + 0*s**3. Factor f(v).
2*v**2*(v + 1)**2*(3*v - 2)/9
Let k(z) = z + 6. Let d be k(-6). Let y(g) be the third derivative of 1/36*g**4 - 1/270*g**5 + d - 2/27*g**3 + g**2 + 0*g. Determine h, given that y(h) = 0.
1, 2
Let y(u) = -u**2 + u - 1. Let k = -14 + 28. Let o(q) = 8*q**2 - 7*q + 6. Let d(x) = k*y(x) + 2*o(x). Factor d(i).
2*(i - 1)*(i + 1)
Let z(v) be the first derivative of 2 + 1/18*v**4 + 1/18*v**3 + 0*v**2 + 1/60*v**5 + 3*v. Let n(l) be the first derivative of z(l). What is c in n(c) = 0?
-1, 0
Let l(s) be the first derivative of 3*s**4/22 - 34*s**3/33 + 21*s**2/11 + 18*s/11 + 75. Factor l(n).
2*(n - 3)**2*(3*n + 1)/11
Let h(o) be the first derivative of -o**4/42 + 4*o - 5. Let k(d) be the first derivative of h(d). Factor k(u).
-2*u**2/7
Let q(b) = -2*b - 10. Let u be q(-11). Suppose -s + u = 2*s. Factor -2/5*w - 6/5*w**3 - 2/5*w**s + 0 - 6/5*w**2.
-2*w*(w + 1)**3/5
Find b such that 8/3*b**3 + 8/3*b + 2/3 + 4*b**2 + 2/3*b**4 = 0.
-1
Let l(o) be the second derivative of o**4/12 - o**3/2 + 4*o. Determine t, given that l(t) = 0.
0, 3
Let m(c) be the first derivative of 1/2*c**4 + 1/3*c**3 + 0*c + 0*c**2 + 7 + 1/24*c**6 + 1/4*c**5. Factor m(r).
r**2*(r + 1)*(r + 2)**2/4
Suppose -21*z**2 + 5*z + 4*z - 15*z**3 + z + 5*z + 3 + 18*z**4 = 0. What is z?
-1, -1/6, 1
Suppose 0 = 3*a + 4*j - 5, -4*j - 7 = -a - 0. Let k(g) = g**2 - 7*g - 5. Let x(i) = -2*i**2 + 8*i + 6. Let w(h) = a*x(h) + 4*k(h). Factor w(m).
-2*(m + 1)**2
Let x(k) = 0*k + 5 - k - 2. Let a be x(0). Factor -i**3 - 4*i**2 - a*i + 1 - 2 + i**2.
-(i + 1)**3
Suppose 0 = 2*o + 5*v + 19, 2*o = -2*o + 4*v + 32. Factor -c + 3*c + c + o*c**2 + 0*c.
3*c*(c + 1)
Let f(v) be the first derivative of v**6/210 - v**5/140 - 8*v + 7. Let w(m) be the first derivative of f(m). Solve w(h) = 0 for h.
0, 1
Let z(c) = c - 5. Let q be z(8). Let m(g) be the first derivative of 14*g**2 + 0 + 2*g - 2*g**q + 3 - 12*g**2. Suppose m(k) = 0. What is k?
-1/3, 1
Let q = 12 - 5. Let t = q + -5. Factor -1/4*s**t + 1/2 + 1/4*s.
-(s - 2)*(s + 1)/4
Let p(d) = d**2 - d + 1. Let o(m) = -4*m**2 - 5. Suppose 2*c + 1 = 3*x - 0, 0 = 4*x + c + 6. Let u(h) = x*o(h) - 3*p(h). Find r such that u(r) = 0.
-2, -1
Suppose -6*m + 12 = -4*m. Let k(f) = f**2 - 5*f - 4. Let z be k(m). Suppose 2*b**2 + 2*b**z - 2*b**2 = 0. What is b?
0
Suppose -3*j - z + 13 = 0, -j = 2*j - 4*z + 7. Solve 2*c**2 - 5 + c**2 - 1 - j*c = 0 for c.
-1, 2
Let t(s) = -s**3 - s**2 + s. Let r(w) = -28*w**3 - 56*w**2 - 12*w. Let b(q) = -r(q) + 12*t(q). Determine g, given that b(g) = 0.
-2, -3/4, 0
Let n(z) = -20*z**2 + 29*z + 11. Suppose k - 21 = -2*m, 3*k = m - 8 - 6. Let l(o) = -4*o**2 + 6*o + 2. Let y(i) = m*l(i) - 2*n(i). Factor y(r).
-4*r*(r - 2)
Let i(b) be the first derivative of b**6/54 + b**5/45 - b**4/18 - 2*b**3/27 + b**2/18 + b/9 + 12. Factor i(s).
(s - 1)**2*(s + 1)**3/9
Let k(y) be the second derivative of -y**4/4 - 6*y**3 - 33*y**2/2 + 19*y. Let k(j) = 0. Calculate j.
-11, -1
Let h(v) = -22*v**3 + 57*v**2 - 27*v - 14. Let x(a) = 45*a**3 - 115*a**2 + 55*a + 30. Let p(i) = -5*h(i) - 2*x(i). Suppose p(g) = 0. Calculate g.
-1/4, 1, 2
Suppose -120*x**3 + 140*x**2 + 103*x**5 - 20*x - 105*x**3 - 140*x**4 + 206*x**5 - 64*x**5 = 0. What is x?
-1, 0, 2/7, 1
Let y be (-2 - 36/(-16)) + (-1)/4. Let u = 73/306 - -7/34. Find l, given that y - 10/9*l**2 + u*l = 0.
0, 2/5
Let l(t) be the second derivative of t**5/4 - 25*t**4/12 + 35*t**3/6 - 15*t**2/2 - 21*t. Suppose l(h) = 0. Calculate h.
1, 3
Let r(c) = -c**4 - 12*c**3 + 15*c**2 + 3*c + 3. Let g(p) = -12*p**3 + 16*p**2 + 2*p + 2. Let d(n) = -3*g(n) + 2*r(n). Factor d(f).
-2*f**2*(f - 3)**2
Suppose 2*v = -0*v + 8. Factor 15*o - 21*o - v*o**2 + 10*o.
-4*o*(o - 1)
Let s be 48/15 - -2 - 5. Factor -1/5*d**5 - s*d**2 - 8/5*d + d**3 - 4/5 + 1/5*d**4.
-(d - 2)**2*(d + 1)**3/5
Let w be 8/(-14)*(188/72 - 3). What is z in -2/3*z**2 - w - 2/3*z - 2/9*z**3 = 0?
-1
Let h(b) be the first derivative of 3*b**4/2 + 16*b**3/3 + 3*b**2 - 4*b - 18. Factor h(u).
2*(u + 1)*(u + 2)*(3*u - 1)
What is t in 16 - 2*t**2 + 2*t - 16 + 0*t**2 = 0?
0, 1
Suppose -4*l = -2*i + i - 79, 2*l 