*k**4 - 4*k**2 + k**2 + c*k**3 + 5*k**2 + 128*k**5.
2*k**2*(4*k + 1)**3
Let z(q) be the second derivative of 0 + q + 1/12*q**3 - 1/40*q**5 + 0*q**4 + 0*q**2. Solve z(j) = 0.
-1, 0, 1
Let u = -1 + 6. Determine b, given that -19*b**4 + 18*b**4 - 1 + u*b + 2*b**2 - 5*b = 0.
-1, 1
Let o(k) be the third derivative of k**8/6720 + k**7/2520 - k**5/60 + 2*k**2. Let d(p) be the third derivative of o(p). Factor d(g).
g*(3*g + 2)
Let b(q) = q**2 + 5*q + 1. Let z be b(-2). Let i(r) = r + 5. Let f be i(z). Factor -2/7*h - 2/7*h**4 + 2/7*h**3 + f + 2/7*h**2.
-2*h*(h - 1)**2*(h + 1)/7
Let t be (-40)/(-5 - 0) + 4. Let u be 34/8 + (-2)/8. Factor -6*r + t - 11 + u*r**2 + r.
(r - 1)*(4*r - 1)
Let l(h) be the third derivative of h**7/1260 + h**6/120 - 3*h**4/8 - 9*h**3/4 + 3*h**2 + 6*h. Find g, given that l(g) = 0.
-3, 3
Factor 10*n**2 + 10*n**3 - 39 - 2*n - 5*n**4 + 34 - 5*n**5 - 2*n - n.
-5*(n - 1)**2*(n + 1)**3
Let w(q) be the second derivative of -3/2*q**4 - 9*q - 48*q**2 - 3/40*q**5 - 12*q**3 + 0. Suppose w(m) = 0. What is m?
-4
Let u(v) be the second derivative of -v**4/20 + v**3 - 15*v**2/2 - 5*v. Factor u(t).
-3*(t - 5)**2/5
Let p = 561/4 + -140. Determine f, given that -1/4*f**3 - 1/4*f**2 + p + 1/4*f = 0.
-1, 1
Let j(a) be the third derivative of a**8/448 + a**7/140 - a**6/160 - a**5/40 + 19*a**2. Determine n, given that j(n) = 0.
-2, -1, 0, 1
Let t(h) be the third derivative of 2*h**7/315 + 2*h**6/45 + 2*h**5/15 + 2*h**4/9 + 2*h**3/9 + 6*h**2. Let t(u) = 0. Calculate u.
-1
Let g(t) be the second derivative of -t**7/21 - 7*t**6/30 - 9*t**5/20 - 5*t**4/12 - t**3/6 + t. Let g(q) = 0. Calculate q.
-1, -1/2, 0
Let m(a) = -a**4 - a**3 + 1. Let r(q) = q**4 + 11*q**3 + 15*q**2 + 5*q + 4. Let u(c) = 4*m(c) - r(c). Determine j so that u(j) = 0.
-1, 0
Let y = -11 - -14. Factor 3*d**4 + y*d**3 - d**3 - 7*d**4 + 2*d**5.
2*d**3*(d - 1)**2
Let r = 4/153 - 29/3060. Let w(n) be the second derivative of r*n**6 + 0 + n + 1/40*n**5 + 0*n**2 + 0*n**4 + 0*n**3 - 1/42*n**7. Find t, given that w(t) = 0.
-1/2, 0, 1
Let s(m) = -12*m**4 + 21*m**3 + 21*m**2 - 21*m - 9. Let r(p) = -3*p**4 + 5*p**3 + 5*p**2 - 5*p - 2. Let y(d) = -9*r(d) + 2*s(d). Factor y(b).
3*b*(b - 1)**2*(b + 1)
Let p(u) be the third derivative of -u**8/13440 - u**7/2520 + u**6/1440 + u**5/120 + u**4/6 - 4*u**2. Let r(c) be the second derivative of p(c). Factor r(a).
-(a - 1)*(a + 1)*(a + 2)/2
Let p = -2 + 5. Let a be p*1*20/30. Factor 1/2*b + 1/4 - 7/4*b**a + b**3.
(b - 1)**2*(4*b + 1)/4
Suppose -2/7*w**3 + 2/7*w - 2/7*w**2 + 2/7 = 0. What is w?
-1, 1
Let g = -4 - -6. Let b(a) be the first derivative of 1 + 1/4*a**4 + 0*a**g + 1/3*a**3 + 0*a. Factor b(i).
i**2*(i + 1)
Let t(k) = -k**2 + 2*k + 2. Let i be t(3). Let j be (-228)/(-66) + 2/i. Factor j*u + 12/11*u**3 - 2/11*u**4 - 24/11*u**2 + 0.
-2*u*(u - 2)**3/11
Determine w, given that 22*w + 0*w**2 - 21*w + 12 - w**2 = 0.
-3, 4
Let m = -1 - 2. Let i be (-2 - m)*(0 - -2). Factor -8/5*k**3 + 0 + 7/5*k**i - 2/5*k + 3/5*k**4.
k*(k - 1)**2*(3*k - 2)/5
Let i(u) be the first derivative of -1/3*u**3 + 1 - 1/9*u**5 + 0*u**2 + 0*u - 5/108*u**6 - 1/9*u**4. Let p(k) be the third derivative of i(k). Factor p(n).
-2*(5*n + 2)**2/3
Let x be (-6)/168 + (1 - 10/14). Let -1/4*u**4 - 1/2 + 3/4*u**2 - x*u + 1/4*u**3 = 0. Calculate u.
-1, 1, 2
Let 1/2*t**4 - 1/2*t**5 + 1/2*t**3 - 1/2*t**2 + 0 + 0*t = 0. Calculate t.
-1, 0, 1
Let p(t) be the first derivative of -t**4/102 + t**3/17 - 2*t**2/17 - 7*t + 7. Let y(b) be the first derivative of p(b). Suppose y(z) = 0. Calculate z.
1, 2
Let o(j) = -j**2 + 3*j - 4. Let r(x) = -x**2 + x + 1. Let p(k) = -8*k**2 + 14*k - 9. Let m(d) = p(d) - 4*r(d). Let f(g) = -2*m(g) + 7*o(g). Factor f(c).
(c - 1)*(c + 2)
Let l be (-7)/(-6)*128/224. What is g in -4/3*g**3 - l*g**4 + 0 + 0*g - 2/3*g**2 = 0?
-1, 0
Suppose -4*a = 4 - 16. Suppose 2*s = d + 7 + 5, 12 = -a*d. Factor 4*t**3 + 0*t - 2*t**5 - 4*t**4 - 2*t + 4*t**s.
-2*t*(t - 1)**2*(t + 1)**2
Let z be -1 + 1 + 20/14. Factor 8/7 + z*y**2 + 2/7*y**3 + 16/7*y.
2*(y + 1)*(y + 2)**2/7
Let c be (1/(12/8))/(48/2). Let i(m) be the second derivative of -c*m**4 + 1/3*m**2 + 2*m + 1/18*m**3 + 0. Factor i(r).
-(r - 2)*(r + 1)/3
Factor -22*w - 14*w**3 + 9*w**4 - 14*w**4 + 7*w**4 - 18*w + 36*w**2 + 16.
2*(w - 2)**3*(w - 1)
Let q(g) be the second derivative of g**4/10 + 2*g**3/15 - g. Factor q(a).
2*a*(3*a + 2)/5
Let f(t) be the third derivative of 0*t + 0*t**3 - 1/60*t**4 - 1/150*t**5 + 4*t**2 + 0. Factor f(p).
-2*p*(p + 1)/5
Let h(t) be the third derivative of -1/75*t**5 + 1/840*t**8 + 0*t + 1/60*t**4 + 1/525*t**7 - 2*t**2 + 1/15*t**3 - 1/150*t**6 + 0. Factor h(p).
2*(p - 1)**2*(p + 1)**3/5
Let w(z) be the first derivative of z**5/120 - z**3/12 - z**2/2 - 1. Let k(s) be the second derivative of w(s). Find j, given that k(j) = 0.
-1, 1
Let g = 628/7449 + -639603/449423. Let j = -1/181 - g. Suppose 2/3*q**2 + j*q + 2/3 = 0. Calculate q.
-1
Let x = -774/19 - -42. Let k = -39/76 + x. Determine n so that 0*n + 0 - 3/2*n**3 - 3/4*n**4 - k*n**2 = 0.
-1, 0
Suppose 0 = -4*g + 4*w - 4, 0 = -5*w - 5 + 15. Suppose -4*l + 3*p = g, 3*p = -3*l - l + 17. Let -3*r**2 + 4*r**2 + r**2 + 2*r - 3*r**l = 0. What is r?
0, 2
Let l = 7 - 5. Factor -3*q**l - q**2 - 2*q**5 + 2*q**2 + 2*q**3 + 2*q**4.
-2*q**2*(q - 1)**2*(q + 1)
Let r(j) = -4*j**2 - 3*j - 4*j + 3*j**2 + 4. Let d be r(-7). Suppose 8*o**3 - 12*o**2 - 2*o**3 - 8*o + 4*o**2 - 2*o**5 + d*o**4 = 0. Calculate o.
-1, 0, 2
Suppose 0 = 2*v + 7*v - 45. Let n(b) be the second derivative of 1/15*b**v + 0*b**4 + 0 + 1/45*b**6 - 2/9*b**3 - 1/3*b**2 + b. Factor n(u).
2*(u - 1)*(u + 1)**3/3
Let t(p) be the second derivative of p**9/1512 + p**8/525 + p**7/2100 - p**6/450 + p**3 - 4*p. Let j(d) be the second derivative of t(d). Factor j(b).
2*b**2*(b + 1)**2*(5*b - 2)/5
Let z(q) = -10*q**4 - 14*q**3 + 66*q**2 + 41*q - 19. Let d(b) = -21*b**4 - 27*b**3 + 132*b**2 + 81*b - 39. Let g(x) = 5*d(x) - 9*z(x). Solve g(n) = 0.
-2, -1, 2/5, 2
Let s(t) be the third derivative of -2*t**7/525 + t**6/150 + 2*t**5/75 + 20*t**2. Factor s(w).
-4*w**2*(w - 2)*(w + 1)/5
Let k(o) be the third derivative of o**7/105 + o**6/10 + o**5/30 - 2*o**4 + 16*o**3/3 + 10*o**2. Suppose k(j) = 0. Calculate j.
-4, 1
Let u(s) be the second derivative of 0*s**3 + 1/6*s**2 + 2*s + 0 - 1/36*s**4. Factor u(d).
-(d - 1)*(d + 1)/3
Let y(b) be the first derivative of -b**3/7 - 9*b**2/7 - 24*b/7 - 20. Find h, given that y(h) = 0.
-4, -2
Let s = 8/5 - 43/30. Determine y so that s*y - 1/6 + 1/6*y**2 - 1/6*y**3 = 0.
-1, 1
Let p be 138/(1 + (1 - 1)). Let a be (p/8)/(5/40). Let -10*j + 6*j**3 + 2*j - 98*j**5 + 5*j**2 - 2*j**4 - a*j**4 + 35*j**2 = 0. Calculate j.
-1, 0, 2/7
Let p(d) be the second derivative of d**7/168 - d**6/60 - 14*d. Let p(x) = 0. Calculate x.
0, 2
Suppose -5*q - 5*z + 5 = 0, -4*z = 2*q - 1 + 3. Let f(j) be the second derivative of -1/4*j**4 - 2*j - 1/2*j**3 + q*j**2 + 0. Factor f(h).
-3*(h - 1)*(h + 2)
Let d(p) be the second derivative of p**6/1080 + p**5/90 + p**4/18 - p**3/6 + 3*p. Let i(o) be the second derivative of d(o). What is t in i(t) = 0?
-2
Suppose 8 = 7*s - 5*s. Let x(c) be the second derivative of -2*c + 3/8*c**2 + 3/8*c**s - 1/2*c**3 + 0 + 1/40*c**6 - 3/20*c**5. Factor x(h).
3*(h - 1)**4/4
Let -12/5*w**3 + 3/5 - 12/5*w + 3/5*w**4 + 18/5*w**2 = 0. What is w?
1
Suppose 29*y = 25*y. Find b such that y*b**2 + 0 + 0*b - 6/5*b**4 + 3/5*b**5 + 3/5*b**3 = 0.
0, 1
Let f(h) be the third derivative of -7*h**6/1620 - h**5/45 + h**4/27 + h**3/6 - h**2. Let g(o) be the first derivative of f(o). Find v, given that g(v) = 0.
-2, 2/7
Let t(a) be the first derivative of -2/5*a**3 + 8/5*a + 2/25*a**5 - 4/5*a**2 + 1/5*a**4 - 2. Factor t(q).
2*(q - 1)**2*(q + 2)**2/5
Suppose 15 + 9 = 3*c. Let p = 13 - c. Factor q**p - 5*q**3 + 0*q**3 + 4*q**3.
q**3*(q - 1)*(q + 1)
Let h(p) be the third derivative of -4*p**7/105 - 3*p**6/10 - 7*p**5/15 + p**4 + 35*p**2. Find j, given that h(j) = 0.
-3, -2, 0, 1/2
Let n = 4 + -2. Solve 18 - c**3 - 18 + c**4 + c - c**n = 0 for c.
-1, 0, 1
Let s(w) = -w**2 + w - 2. Let m be s(2). Let x = 7 + m. Let -2/5*k**x + 0*k + 2/5*k**4 + 2/5*k**5 + 0 - 2/5*k**2 = 0. What is k?
-1, 0, 1
Factor 100*u**4 + u**4 + 112*u**3 + 32*u**2 + 15*u**5 - 13*u**4 + 5*u**5.
4*u**2*(u + 2)**2*(5*u + 2)
Solve 2/9*k**2 + 0 + 