*n**2 + 2*n + 4. Let h(u) = -15*u**2 + 3*u + 7. Let y(x) = v*j(x) - 6*h(x). Factor y(w).
2*(w + 1)**2
Suppose -10*a + 205 = 185. Find h, given that -1/2*h**3 + 1 + h + 1/4*h**4 - 3/4*h**a = 0.
-1, 2
Let m(x) be the third derivative of x**8/3360 + x**7/840 + x**6/720 - x**3/6 - 8*x**2. Let b(y) be the first derivative of m(y). Factor b(r).
r**2*(r + 1)**2/2
Let g(k) be the third derivative of 2*k**2 - 33/70*k**7 - 3/2*k**5 - 1/2*k**3 - 9/112*k**8 + 0 + 0*k - 23/20*k**6 - 9/8*k**4. Factor g(a).
-3*(a + 1)**3*(3*a + 1)**2
Let t be (-11)/(-2) - 3/6. Let j be 2/(-2) + (t - 4). Factor 0*s**4 + 2/7*s**5 - 2/7*s**3 + j*s + 0 + 0*s**2.
2*s**3*(s - 1)*(s + 1)/7
Let a(p) = p**3 - p + 2. Let w be a(0). Suppose 0*q + 6 = 2*q. Find n such that 10 - 10 + 3*n**3 - 8*n**w + q*n**3 + 2*n = 0.
0, 1/3, 1
Let d(w) be the first derivative of 0*w - 3 + 10/21*w**3 - 2/7*w**2. Solve d(x) = 0.
0, 2/5
Let g(y) be the second derivative of y**5/90 - y**4/18 + y**2 - 2*y. Let s(n) be the first derivative of g(n). Suppose s(j) = 0. Calculate j.
0, 2
Determine h, given that 5/2*h**4 + 0*h**2 - 5*h + 5*h**3 - 5/2 = 0.
-1, 1
Factor 9/7 + 12/7*r + 3/7*r**2.
3*(r + 1)*(r + 3)/7
Let u(g) be the third derivative of -g**9/2880 + g**8/560 - 11*g**7/3360 + g**6/480 - g**4/8 + 3*g**2. Let c(a) be the second derivative of u(a). Factor c(f).
-3*f*(f - 1)**2*(7*f - 2)/4
Let f(v) = -8*v**4 + 22*v**3 - 2*v**2 - 108*v + 93. Let z(k) = -17*k**4 + 43*k**3 - 3*k**2 - 217*k + 187. Let i(r) = -7*f(r) + 3*z(r). Factor i(l).
5*(l - 3)**2*(l - 1)*(l + 2)
Let v(y) be the first derivative of 1/18*y**3 - 1/6*y + 0*y**2 + 10. What is d in v(d) = 0?
-1, 1
Let z be 14/(-20) - 78/(-52). Factor 3/5 + 1/5*r**2 + z*r.
(r + 1)*(r + 3)/5
Suppose 0 = -3*z - 5*b + 79, 3*z - b - 48 = 1. Let r be z/81*(4 + -1). Let 0*k**2 + 2*k - 4/3 - r*k**3 = 0. Calculate k.
-2, 1
Let s = 0 - 6. Let v = s - -10. Let -v*i**4 + 0*i**3 + 2 + 2*i**4 - 4*i**3 + 4*i = 0. Calculate i.
-1, 1
Let z(g) be the third derivative of -g**5/30 + 7*g**4/6 - 49*g**3/3 - 16*g**2. Factor z(l).
-2*(l - 7)**2
Let y(a) = -10*a - 2. Let r be y(-1). Suppose -r*w = -3*w. Factor -3/5*i**3 + 3/5*i**5 - 3/5*i**2 + 3/5*i**4 + 0*i + w.
3*i**2*(i - 1)*(i + 1)**2/5
Let p be (1/(-3))/(1/(-12)). Solve -5*l**5 - 4*l**4 - 2*l**4 + 14*l**5 + 0*l**p = 0.
0, 2/3
Let t(s) = 3*s**3 + 3*s**2 - 3*s - 3. Let r = -6 - -1. Let d(j) = -3*j**3 - 3*j**2 + 3*j + 3. Let v(n) = r*d(n) - 4*t(n). Factor v(a).
3*(a - 1)*(a + 1)**2
Let m = 179/3 + -59. Let n(s) = s**3 - s**2 - s + 2. Let y be n(0). Factor -y*h**2 - 2*h**3 + 0 - m*h**4 - 2/3*h.
-2*h*(h + 1)**3/3
Suppose -4*r + 8 + 4 = 0. What is v in v**2 + v**5 + v**3 - 3*v - v**4 - 4*v**r + 4*v**2 + v = 0?
-2, 0, 1
Find n, given that 10 + 4*n**3 - 4 - 4*n - 4*n**2 + 4*n**4 - 2*n**4 - 4*n**2 = 0.
-3, -1, 1
Let b(x) = 14*x**4 + 25*x**3 - 10*x**2 - 25*x - 11. Let c(q) = 7*q**4 + 12*q**3 - 5*q**2 - 12*q - 5. Let a(v) = -3*b(v) + 7*c(v). Factor a(w).
(w - 1)*(w + 1)**2*(7*w + 2)
Let s(z) be the second derivative of -z**6/15 + z**5/5 - 2*z**3/3 + z**2 + 8*z + 3. Factor s(l).
-2*(l - 1)**3*(l + 1)
Let k(n) be the second derivative of n**5/4 - 15*n**4/2 + 90*n**3 - 540*n**2 - 25*n. Factor k(g).
5*(g - 6)**3
Let x(v) = -3 + 3*v - 3*v - v + 0*v. Let b be x(-5). Factor b*u**2 - u**5 - u**2 + 3*u**4 - 4*u**4 + u**3.
-u**2*(u - 1)*(u + 1)**2
Let t = 13/38 - -3/19. Let x(u) be the second derivative of 0 - t*u**2 + 1/3*u**3 - u + 1/4*u**4. Factor x(p).
(p + 1)*(3*p - 1)
Let k(a) = a**2 + 9*a + 6. Let o(r) = 2*r - 3. Let m be o(-3). Let s be k(m). Factor 6*b**4 + 2*b**5 + 2*b**2 - b**5 + b**5 + s*b**3.
2*b**2*(b + 1)**3
Let c(n) = -6*n**4 + 4*n**3 + 2. Let g(s) = 7*s**4 - 5*s**3 + s**2 - 3. Let u = 21 - 16. Let p(w) = u*c(w) + 4*g(w). Find k such that p(k) = 0.
-1, 1
Let u = 2 + -1. Let l be -2 + -1 - 5/(-1). Let -1/2*q**l + u + 1/2*q = 0. What is q?
-1, 2
Let v = -7 - -13. Suppose 2*k - v*g + 4*g = -4, -5*k + 4*g = 6. Determine f, given that -4/11*f + 2/11*f**k + 2/11 = 0.
1
Suppose 2*b - 10 = -b + w, 4*w = b - 7. Let u(d) be the first derivative of -2/21*d**b - 8/7*d - 1 + 4/7*d**2. Let u(y) = 0. Calculate y.
2
Let j = -1 + 4. Find y such that -y**5 - y - 3*y**3 + 4*y**2 + 4*y**4 + 0*y**3 - 5*y**3 + 2*y**j = 0.
0, 1
Suppose 2*n + 0*n - n = 0. Factor 2/9*y**4 + n*y + 0 + 4/9*y**3 + 2/9*y**2.
2*y**2*(y + 1)**2/9
Let p(g) be the first derivative of -g**4 - 6/5*g**5 + 3*g**2 - 5 - 1/3*g**6 + 4/3*g**3 + 2*g. Factor p(x).
-2*(x - 1)*(x + 1)**4
Let o(k) be the third derivative of -k**5/20 + k**4/2 + 9*k**2. Solve o(b) = 0 for b.
0, 4
Let c be ((-9)/(-12))/3 - 11/(-4). Factor 1/4*w**2 - 1/4*w**4 + 0*w - 1/4*w**c + 1/4*w**5 + 0.
w**2*(w - 1)**2*(w + 1)/4
Let w(k) = -k**2 + 9*k + 12. Let m be ((-30)/9)/(3/(-9)). Let q be w(m). Let 1/6*a**3 + 0 + 0*a**q + 0*a = 0. Calculate a.
0
Let v = 32 + -28. Suppose -v*j + 30 = j + 4*s, 0 = 2*s - 10. Factor -2/3*t**j - 2/3*t + 0.
-2*t*(t + 1)/3
Let l(f) be the third derivative of 0*f + 0*f**3 + 0 + 1/270*f**5 - 1/945*f**7 + 0*f**4 + 0*f**6 + f**2. Factor l(i).
-2*i**2*(i - 1)*(i + 1)/9
Let l(q) be the third derivative of -q**5/20 - 7*q**4/72 + q**3/9 + 4*q**2. Let l(b) = 0. Calculate b.
-1, 2/9
Let g(i) = 10*i**4 - 6*i**3 - 2*i**2 - 2*i - 4. Let j(u) = -u**4 - u**3 + u**2 + u + 1. Let q be 1/(-4)*-2*-2. Let v(m) = q*g(m) - 4*j(m). Factor v(a).
-2*a*(a - 1)**2*(3*a + 1)
Let a be (4/3)/(46/69). Let r(u) be the second derivative of 0*u**2 - 1/6*u**4 + 0*u**3 + a*u + 0. Factor r(s).
-2*s**2
Let r(d) be the second derivative of -d**7/60 + 19*d**6/180 - 2*d**5/15 - d**4/3 - d**3/2 - 8*d. Let t(m) be the second derivative of r(m). Factor t(x).
-2*(x - 2)*(x - 1)*(7*x + 2)
Let f(p) be the first derivative of -p**4/30 + 2*p**3/15 + p**2/15 - 2*p/5 - 78. Factor f(s).
-2*(s - 3)*(s - 1)*(s + 1)/15
Let n(i) be the second derivative of 0*i**2 + 1/2*i**5 - 4*i + 0 + 1/3*i**3 - 3/4*i**4. Let n(r) = 0. Calculate r.
0, 2/5, 1/2
Let i = 614 - 614. Factor -8/5*k**2 + 2/5*k + 12/5*k**3 + 2/5*k**5 + i - 8/5*k**4.
2*k*(k - 1)**4/5
Suppose -4*d + 18 - 10 = 0. Factor 2 - 2*g**2 + 4*g**3 + d*g**2 - 6*g**2.
2*(g - 1)**2*(2*g + 1)
Let i(g) = g**2 - 2*g + 1. Let n be i(1). Suppose 0 = -n*z + 3*z. Factor 0*h**2 + 0 + z*h - 1/4*h**3 - 1/4*h**4.
-h**3*(h + 1)/4
Let g(z) be the third derivative of 2*z**2 + 1/6*z**4 + 7/60*z**6 + 0*z**3 + 0*z + 0 + 3/10*z**5. Factor g(l).
2*l*(l + 1)*(7*l + 2)
Let x(i) be the third derivative of 1/165*i**6 + 0*i - 1/110*i**5 + 0*i**3 - 1/132*i**4 - 6*i**2 + 0. Find q, given that x(q) = 0.
-1/4, 0, 1
Let s = -14821/21 - -706. Let x(l) be the third derivative of -4/21*l**3 + 0*l + 3*l**2 + 1/60*l**6 + 0 - 23/210*l**5 + s*l**4. Factor x(k).
2*(k - 2)*(k - 1)*(7*k - 2)/7
Let r be 18/32 + 1/(-2). Let p(o) be the first derivative of 1/8*o**2 + 1/2*o - 1/4*o**3 - 4 + 1/20*o**5 - r*o**4. Factor p(f).
(f - 2)*(f - 1)*(f + 1)**2/4
Let z(s) be the first derivative of s**4/8 - s**3/6 - 5*s**2/2 - 4*s + 44. Solve z(a) = 0.
-2, -1, 4
Determine i, given that 6/7*i**2 + 0 + 0*i + 2/7*i**3 = 0.
-3, 0
Let l(y) be the third derivative of 0 - 3/10*y**5 + 1/12*y**4 + 0*y - 13/60*y**6 - y**2 - 1/21*y**7 + 2/3*y**3. Factor l(u).
-2*(u + 1)**3*(5*u - 2)
Let k be (3/(-9))/(1/(-15)). Suppose -4*f + k = 3*n - 1, -4*n + 3*f = -33. Factor 3 + 2*i**2 + 0*i**2 + n*i + 1.
2*(i + 1)*(i + 2)
Let c(k) = -k**3 + 12*k**2 + 13*k - 1. Let r be c(13). Let t(y) = -y**2 + y. Let g(i) = 2*i**3 + 4*i**2 - 6*i. Let h(v) = r*g(v) - 2*t(v). Factor h(j).
-2*j*(j - 1)*(j + 2)
Suppose 11*s - 9*s = 10. Factor 24*k + 9*k**2 + s + k**3 - 3*k**4 - 4*k**3 - 9*k + 1.
-3*(k - 2)*(k + 1)**3
Factor -1/6*p**2 - 5/3*p - 25/6.
-(p + 5)**2/6
Let j = 18 + -27. Let c(a) = a**3 + 10*a**2 + 9*a. Let z be c(j). Solve -1/4*w + z + 1/4*w**2 = 0.
0, 1
Let x be 6/7*(-756)/180 - -6. Solve x*q**2 - 8/5*q - 4/5*q**3 + 0 = 0.
0, 1, 2
What is j in 7/3*j + 1/3*j**2 + 10/3 = 0?
-5, -2
Let d(z) be the first derivative of -2*z**5/25 - 17*z**4/5 - 264*z**3/5 - 1694*z**2/5 - 2662*z/5 + 36. Factor d(b).
-2*(b + 1)*(b + 11)**3/5
Let z(b) be the first derivative of -b**5/10 - b**4/2 - b**3/2 + b**2 + 2*b + 2. Solve z(l) = 0 for l.
-2, -1, 1
Suppose 4*f = 3*f + 5. Suppose 4*a = d - 2, 21*d + 8 = 25*d + 5*a. Factor 0 - 4/7*j**4 + 0*j**d - 2/7*j**f - 2/7*j**3 + 0*j.
-2*j**3*(j + 1)**2/7
Let v(x) = 2*x