 + 81*c + 81. Let k(f) = -3*f**3 - 5*f**2 + 5*f + 5. Let w = -9 - -11. Let j(b) = w*u(b) - 33*k(b). Factor j(i).
3*(i - 1)*(i + 1)**2
Let w(n) be the second derivative of -n**4/4 + n**3/2 - 6*n. Suppose w(p) = 0. Calculate p.
0, 1
Factor 4*g**2 + g**2 - 2*g - 3*g**2.
2*g*(g - 1)
Suppose -4*c + 6 = -3*c. Let f be 42/(-60) + c/4. Factor 0 + 2/5*o**2 - f*o.
2*o*(o - 2)/5
Let j be (-24 - -9 - -10) + 8. Let -2/9*g - 2/9 - 2/3*g**j + 10/9*g**2 = 0. Calculate g.
-1/3, 1
Let k(y) be the second derivative of y**6/300 + 5*y**2/2 - 6*y. Let g(s) be the first derivative of k(s). Determine f, given that g(f) = 0.
0
Let a(b) be the second derivative of b**5/5 + b**4/4 - b**3/6 + 2*b. Determine v so that a(v) = 0.
-1, 0, 1/4
Let -4/5 + 1/5*q**2 - 3/5*q = 0. What is q?
-1, 4
Let q = -11 + 11. Suppose -4*x + x + z = q, -2*z = -2*x. What is u in -1/3 + 1/3*u**2 + x*u = 0?
-1, 1
Let p(k) = -8*k**3 + 10*k**2 - k - 6. Let d(s) = 1. Let a = 6 + -5. Let v(m) = -2*m**3 + 1. Let c be v(a). Let o(h) = c*p(h) - 5*d(h). Factor o(l).
(l - 1)*(2*l - 1)*(4*l + 1)
Let x = 4 - -7. Let r = x - 9. Determine s so that 0*s**r - 2/7*s**5 + 0 + 0*s**4 + 0*s + 2/7*s**3 = 0.
-1, 0, 1
Let b be (-531)/360 + 6/4. Let p(h) be the second derivative of 0*h**3 + 0*h**2 + b*h**5 + 1/120*h**6 - h + 0 + 1/48*h**4. Factor p(d).
d**2*(d + 1)**2/4
Let v(u) = u**3 + 5*u**2 + 5*u + 4. Let a be v(-4). Let g(d) = d + 5. Let f be g(a). Factor 1/4*k + 0*k**2 + 0 + 0*k**4 - 1/2*k**3 + 1/4*k**f.
k*(k - 1)**2*(k + 1)**2/4
Let w(t) be the second derivative of -1/25*t**5 + 2/75*t**6 + 1/6*t**3 - 1/5*t**2 + 0 - 1/30*t**4 - 1/210*t**7 + 2*t. Factor w(y).
-(y - 2)*(y - 1)**3*(y + 1)/5
Factor -3/2*j - 1/4*j**2 - 9/4.
-(j + 3)**2/4
Let c(i) be the third derivative of 1/300*i**5 + 0*i - 1/60*i**4 + 1/30*i**3 + 0 + 3*i**2. Determine b so that c(b) = 0.
1
Let o(f) = 2*f + 8. Let m be o(8). Factor -2 + m*b**2 - 5 - 25*b**3 + 10*b**3 - 3*b + 1.
-3*(b - 1)**2*(5*b + 2)
Suppose 0 = 4*g + 5*o - 28, 5*o + 6 - 28 = -g. Factor 2/5*w + 0 + 2/5*w**g.
2*w*(w + 1)/5
Let p be 9/27 + 46/6. Suppose -2 = -w + v, -p*v = -3*v - 5. Suppose 1/2*u + 0 + 0*u**2 - 1/2*u**w = 0. Calculate u.
-1, 0, 1
Suppose c**4 - 3*c**2 - 2*c**3 + 3*c**3 + c**2 = 0. Calculate c.
-2, 0, 1
Suppose -2/13*t**4 + 2/13*t**2 + 0 - 2/13*t**3 + 2/13*t = 0. What is t?
-1, 0, 1
Factor 3/2*n**2 + 1/2*n + 1/2*n**4 + 0 + 3/2*n**3.
n*(n + 1)**3/2
Suppose 0 = -2*l + 7*l - 10. Factor -3*w**l + 3*w**2 - 2*w + 3*w**2 - 4*w.
3*w*(w - 2)
Suppose -v - 2*m - 6 = -0, -5*v - 2*m + 2 = 0. Let z be (-24)/(-14) + v/7. Find o, given that 3*o**2 + o + 2*o**z - 3*o**2 = 0.
-1/2, 0
Let v(t) be the first derivative of t**7/3780 + t**6/1620 + 4*t**3/3 - 2. Let o(m) be the third derivative of v(m). Determine r, given that o(r) = 0.
-1, 0
Let g(q) be the second derivative of -q**6/60 + 3*q**5/80 + q**4/24 - 69*q. Factor g(n).
-n**2*(n - 2)*(2*n + 1)/4
Suppose 0 = -3*f + 5*l - 8, f - 3*l = -0*f - 8. Let a = -6 + 10. Determine g, given that -g**f + 13*g**3 + 4*g - 2*g**4 + 0*g**a + g**5 - 12*g**2 - 3*g**4 = 0.
0, 1, 2
Let s(g) = -14*g**2 - 5*g + 2. Let r(p) = -p. Let w(n) = n. Let m = 1 - 3. Let q(h) = m*r(h) - w(h). Let y(t) = 4*q(t) + 2*s(t). Factor y(c).
-2*(2*c + 1)*(7*c - 2)
Suppose 18*p - 19*p = -7. Let q(h) be the third derivative of 0*h + 1/45*h**p - 4/45*h**6 - 3*h**2 + 0*h**3 + 0*h**4 + 0 + 2/45*h**5. What is l in q(l) = 0?
0, 2/7, 2
Let k(h) be the third derivative of h**6/1080 + h**5/90 + h**4/24 - 5*h**3/6 + 4*h**2. Let v(q) be the first derivative of k(q). Factor v(a).
(a + 1)*(a + 3)/3
Let r(s) be the second derivative of -1/4*s**4 + 0 + s + 0*s**2 - 2*s**3. Factor r(l).
-3*l*(l + 4)
Let b = -8 + 13. Let v = b - 2. Factor -v*u**2 + 4*u - 2 + u**2 + 0*u**2.
-2*(u - 1)**2
Let z(v) be the third derivative of v**5/100 + v**4/120 + 3*v**2 - 4. Determine f so that z(f) = 0.
-1/3, 0
Let w(r) be the first derivative of 4*r**5/5 + r**4 - 8*r**3/3 - 9. Factor w(c).
4*c**2*(c - 1)*(c + 2)
Factor -5*u**5 - u**3 - 10*u**4 - 2*u**3 + 2*u**5.
-u**3*(u + 3)*(3*u + 1)
Let t(y) = y**3 - 6*y**2 - 7*y - 2. Let c be t(7). Let v = c + 4. Determine k, given that 2*k + 0 - 2*k**3 - 2*k**v + 2 + 0 = 0.
-1, 1
Let v be ((-16)/(-30))/(5/(-255)). Let j = v + 28. Find y, given that j*y**2 - 2/5*y - 2/5*y**3 + 0 = 0.
0, 1
Let f(d) be the third derivative of -d**7/105 + d**6/60 + 2*d**5/15 - d**4/3 - 10*d**2. Factor f(n).
-2*n*(n - 2)*(n - 1)*(n + 2)
Suppose -5*l - 8 = -l. Let p be (-3)/9*(-4 + l). Let h**4 + 0 + 2*h**4 - 4*h**2 - h**4 + p = 0. What is h?
-1, 1
Let w(n) be the first derivative of -2*n**6/27 - 4*n**5/15 - 2*n**4/9 + 8*n**3/27 + 2*n**2/3 + 4*n/9 + 9. Solve w(d) = 0 for d.
-1, 1
Let g = 13 - 8. Let u = -3 + g. Find f, given that 3*f - 3*f + u*f**4 = 0.
0
Let o(v) = -v - 1. Let u(c) = -5*c - 6. Let h(t) = 4*o(t) - u(t). Let w be h(0). Factor -w*y**3 + 3*y - 1 + y + y**4 - 2*y.
(y - 1)**3*(y + 1)
Let d be (4 - 7)*-2*3/9. Let p(q) be the second derivative of -1/3*q**3 + 0 + 7/20*q**5 + 0*q**d + 3*q + 5/12*q**4. Factor p(y).
y*(y + 1)*(7*y - 2)
Let 0 + 0*a**2 + 0*a**3 + 0*a + 1/5*a**4 - 1/5*a**5 = 0. What is a?
0, 1
Let u(j) be the third derivative of -j**9/3360 - j**8/840 - j**7/630 + j**5/60 - 2*j**2. Let k(q) be the third derivative of u(q). Factor k(o).
-2*o*(3*o + 2)**2
Factor -4*r**2 + 0 + r**4 - r**4 + 2*r**4 + 2.
2*(r - 1)**2*(r + 1)**2
Let t(n) = n**3 - 2*n**2 + 2*n. Let l(z) = 6*z - 17*z**2 - z + 8*z**3 + 12*z. Let r(j) = 6*l(j) - 51*t(j). Factor r(k).
-3*k**3
Let n(v) be the first derivative of v**5/150 - v**4/60 + v**2 + 3. Let l(x) be the second derivative of n(x). Let l(f) = 0. What is f?
0, 1
Let r(w) = -w + 18. Let j be r(14). Let x(o) be the second derivative of -2*o + 1/3*o**3 + 1/6*o**j + 0 + 0*o**2. Factor x(d).
2*d*(d + 1)
Let u(l) be the third derivative of l**6/120 + 2*l**5/15 + 2*l**4/3 - 11*l**2. Factor u(h).
h*(h + 4)**2
Let y = 11 + -8. Let z be 4/20*25/20. Let -1/4*a**y + 0*a + 0 + z*a**2 = 0. What is a?
0, 1
Let y(o) be the first derivative of 0*o - 2/5*o**5 + 2*o**2 + 0*o**4 + 1 + 2*o**3. Find f such that y(f) = 0.
-1, 0, 2
Determine t, given that -3 - 24/7*t - 3/7*t**2 = 0.
-7, -1
Let u(a) be the first derivative of -a**4/18 - 2*a**3/9 + 8*a/9 - 12. Factor u(n).
-2*(n - 1)*(n + 2)**2/9
Let j = 6 + 0. Let i(p) be the first derivative of -1/2*p**5 + 0*p**2 - 1/8*p**4 + 0*p - 1 + 1/6*p**3 - 1/4*p**j. Determine m so that i(m) = 0.
-1, 0, 1/3
Suppose 5*k = 7 + 3. Factor -4*b**k + 3*b**2 + 0*b**2 + 5*b**2 + 2*b**3.
2*b**2*(b + 2)
Let w(v) be the second derivative of v**5/210 + v**4/84 - 5*v**2/2 - 3*v. Let d(h) be the first derivative of w(h). Solve d(q) = 0.
-1, 0
Let f be 1*-1 + (-7)/(-12)*3. Solve -3/4*v - f*v**2 - 1/4*v**3 - 1/4 = 0.
-1
Suppose 0 - 8/3*g + 1/3*g**2 = 0. What is g?
0, 8
Let b(r) be the first derivative of r**4/48 + r**3/24 + 2*r - 1. Let k(s) be the first derivative of b(s). Factor k(f).
f*(f + 1)/4
Suppose 20 = i - 5*i. Let d be 7 + 5/(i/4). Let -n**d + n - 1 + 1/4*n**4 + 3/4*n**2 = 0. What is n?
-1, 1, 2
Find n, given that n + 7*n**2 + 2*n + 5*n**2 - 6*n**2 = 0.
-1/2, 0
Let k(z) be the second derivative of z**8/40320 - z**4/12 + 4*z. Let a(j) be the third derivative of k(j). Suppose a(g) = 0. What is g?
0
Let f(r) be the third derivative of 13*r**6/24 - r**5/6 - 19*r**2. Factor f(p).
5*p**2*(13*p - 2)
Suppose 4 = 3*b - 14. Factor -5*w**3 - 3*w + 2*w - w**4 + w**2 + b*w**3.
-w*(w - 1)**2*(w + 1)
Let c(q) = -q**2 + 1. Let a be c(-2). Let w be a/5 - (-9)/15. Factor 1/4*g**2 + w - 1/4*g.
g*(g - 1)/4
Suppose 5*u - 5*p + 2*p = 38, 0 = -p + 4. Let z = -6 + u. Factor 3*j + 4 - z*j**2 + 2*j**2 - j.
-2*(j - 2)*(j + 1)
Let t(d) be the third derivative of -d**7/5040 + d**6/480 - d**5/120 + d**4/24 - d**2. Let s(r) be the second derivative of t(r). Let s(f) = 0. What is f?
1, 2
Let k be 1/2*360/63. Factor -2/7 - 2/7*c**5 - 10/7*c - k*c**3 - 10/7*c**4 - 20/7*c**2.
-2*(c + 1)**5/7
Let t(f) be the third derivative of 3*f**7/280 - 11*f**6/160 - 7*f**5/80 + 11*f**4/32 + f**3/2 + 22*f**2. Let t(h) = 0. Calculate h.
-1, -1/3, 1, 4
Factor 12/5*q**4 + 12/5*q**3 - 6/5*q**2 - 6/5 + 3/5*q**5 - 3*q.
3*(q - 1)*(q + 1)**3*(q + 2)/5
Let d(k) = -k + 1. Let z be d(1). Let q(n) be the first derivative of 2/27*n**3 - 2 + z*n**2 - 2/9*n. Factor q(l).
2*(l - 1)*(l + 1)/9
Let f(i) 