*4 - 25*v**3 - 9*v**2. Let x(q) = 7*t(q) - 2*z(q). Factor x(w).
-3*w**2*(w + 1)**2
Factor 1/5*u**5 + 4/5*u**2 - 6/5*u**4 + 0 + 9/5*u**3 - 12/5*u.
u*(u - 3)*(u - 2)**2*(u + 1)/5
Let s(w) be the third derivative of w**7/105 + w**6/30 + w**5/30 - 5*w**2. Solve s(f) = 0.
-1, 0
Let b be -3 - (122/2 + -1). Let g be (24/10)/(b/(-30)). Determine q so that 0*q - g*q**3 + 2/7*q**2 + 0 = 0.
0, 1/4
Let k(a) be the second derivative of 5*a**4/54 + 7*a**3/27 + 2*a**2/9 - 9*a. Suppose k(h) = 0. What is h?
-1, -2/5
Let r(q) be the second derivative of -q**9/60480 + q**8/8960 - q**7/3360 + q**6/2880 + q**4/2 - 6*q. Let i(k) be the third derivative of r(k). Factor i(l).
-l*(l - 1)**3/4
Let h be (-1)/(1/(-2) + 0). Let n(d) = d**2 + 5*d + 3. Let t be n(-5). Determine b so that -3 + 2*b**h + 2 - 2*b - t*b**2 = 0.
-1
Factor 1/3*v**3 - 1/3*v - 1/3*v**4 + 0 + 1/3*v**2.
-v*(v - 1)**2*(v + 1)/3
Let w = 15 - 13. What is o in -4*o**3 + 3*o**2 + 3*o**2 + w*o**3 - o**3 = 0?
0, 2
Suppose 2*t = 4*k - 42, -k + 5*t - 2*t = -8. Suppose 0 = 6*n - k*n. Factor -2/3*i**2 + 2/3*i**4 + n + 2/3*i**3 - 2/3*i.
2*i*(i - 1)*(i + 1)**2/3
Factor -2/7*j**5 - 18/7*j**3 + 10/7*j**4 + 0 + 2*j**2 - 4/7*j.
-2*j*(j - 2)*(j - 1)**3/7
Let u = -67 - -67. Let t(v) be the first derivative of -7/18*v**4 + u*v + 0*v**2 + 4/27*v**3 + 3. Factor t(q).
-2*q**2*(7*q - 2)/9
Let v be 22/66 + 1/(-21). Factor 0*c + v*c**3 + 0 - 4/7*c**2.
2*c**2*(c - 2)/7
Let n be -18*(32/36)/(-4). What is t in 1/2*t**3 - 1/2*t**5 - 1/2*t**n + 1/2*t**2 + 0*t + 0 = 0?
-1, 0, 1
Let v(c) be the first derivative of 3*c**6/4 - 12*c**5/5 + 3*c**4/2 + 3*c**3 - 21*c**2/4 + 3*c + 10. Let v(f) = 0. Calculate f.
-1, 2/3, 1
Suppose 0 = 3*z - 3*t, -8 + 2 = -3*t. Let w(k) be the second derivative of 1/8*k**z + 1/6*k**3 - k + 1/16*k**4 + 0. Factor w(y).
(y + 1)*(3*y + 1)/4
Let v = -265 - -267. Solve -1/5*r**4 + 1/5*r**3 + 2/5*r**v + 0*r + 0 = 0.
-1, 0, 2
Let z(x) = 3*x - 6 - 3*x**2 + 2*x**5 - 7*x - 5*x**2 - 2*x**4 + 12*x**3. Let j(k) = -k**4 + k + 1. Let c(w) = -6*j(w) - z(w). Determine h, given that c(h) = 0.
0, 1
Let d be ((-248)/80 - -3)/(8/(-10)). Let l(t) be the first derivative of 4 + 1/12*t**3 + 0*t + d*t**2. Factor l(q).
q*(q + 1)/4
Let i(j) be the second derivative of 1/30*j**6 + 1/10*j**5 + 0*j**4 + 11*j - 1/3*j**3 - 1/2*j**2 + 0. Factor i(g).
(g - 1)*(g + 1)**3
Factor -10*c**2 + 76*c - 42*c + 4 - 36*c + 4*c**2.
-2*(c + 1)*(3*c - 2)
Let u be 1232/196 - (0 + 6). Find t, given that 0 + 4/7*t**3 + 0*t + u*t**4 + 2/7*t**2 = 0.
-1, 0
Suppose b - 2 + 0 = 0. Determine t, given that 3*t**2 - t**2 + t**2 + t**b = 0.
0
Let y = -10/27 + 119/297. Let d(w) be the second derivative of 0*w**3 - w + 3/55*w**5 + 0*w**2 + y*w**6 + 0 + 1/66*w**4. Factor d(q).
2*q**2*(q + 1)*(5*q + 1)/11
Let g(p) be the second derivative of -2/27*p**4 - 1/9*p**2 + 5/27*p**3 - 2*p + 0. Determine v, given that g(v) = 0.
1/4, 1
Let p(x) be the second derivative of -x**9/1512 + x**8/420 - x**6/90 + x**5/60 + x**3 - 6*x. Let t(q) be the second derivative of p(q). Factor t(y).
-2*y*(y - 1)**3*(y + 1)
Let f(u) be the first derivative of 0*u + 3*u**2 + 3/4*u**4 + 3*u**3 + 3. Determine r so that f(r) = 0.
-2, -1, 0
Let j(p) be the second derivative of 1/6*p**4 + 9*p**2 + 2*p**3 - 5*p + 0. Factor j(g).
2*(g + 3)**2
Suppose -o + 0 + 2 = 0. What is f in -2 + f**2 + 3*f**2 - 3*f - 5*f**o = 0?
-2, -1
Let a(m) be the third derivative of -1/280*m**7 + 0*m + 0*m**4 + 7*m**2 + 0*m**5 + 0 + 0*m**3 + 1/240*m**6 - 5/1344*m**8. Solve a(b) = 0 for b.
-1, 0, 2/5
Let b = 21 - 16. Let h(o) be the first derivative of -1 - 2/3*o**2 - 1/3*o - 2/3*o**3 - 1/3*o**4 - 1/15*o**b. Let h(t) = 0. What is t?
-1
Let y(t) be the first derivative of -t**7/21 + t**6/15 + t**5/10 - t**4/6 + 6*t + 6. Let h(l) be the first derivative of y(l). Let h(s) = 0. Calculate s.
-1, 0, 1
Suppose o - 4*c - 6 = 0, -8 + 6 = -2*o - 2*c. Factor -2*b**4 - 2/3*b**5 + 0*b - o*b**3 + 0 - 2/3*b**2.
-2*b**2*(b + 1)**3/3
Let d(m) = -3*m**5 + m**4 - m**3 - 5*m**2 + 2*m. Let l(a) = 13*a**5 - 3*a**4 + 4*a**3 + 21*a**2 - 8*a. Let g(f) = -18*d(f) - 4*l(f). Factor g(x).
2*x*(x - 2)*(x - 1)**2*(x + 1)
Let t(b) be the third derivative of -b**5/12 + b**4/3 + 2*b**3/3 + b**2. Solve t(n) = 0 for n.
-2/5, 2
Let q(m) be the first derivative of -4 - 2*m**2 + 1/3*m**3 - 4*m + 1/4*m**4. Factor q(i).
(i - 2)*(i + 1)*(i + 2)
Let v(k) be the third derivative of k**8/224 - k**6/20 + k**5/20 + 3*k**4/16 - k**3/2 - 4*k**2. Find q such that v(q) = 0.
-2, -1, 1
Let q(o) be the second derivative of -o**4/42 + 11*o. Factor q(r).
-2*r**2/7
Let x(u) be the second derivative of u**5/60 + u**4/12 + u**3/9 - 11*u. Factor x(y).
y*(y + 1)*(y + 2)/3
Let a = 0 - 0. Suppose -f**4 + 0*f**2 + a*f**4 + 3*f**2 - 2*f**2 = 0. What is f?
-1, 0, 1
Let y(a) = -a**5 + a**4 - a - 1. Let o(f) = -8*f**5 - 19*f**4 - 66*f**3 - 72*f**2 - 32*f - 5. Let p(l) = o(l) - 5*y(l). Factor p(i).
-3*i*(i + 1)**2*(i + 3)**2
Let u = -7 - -9. Suppose -5 = -2*y + c, 5 - u = c. What is m in 7*m**y + 26*m - m**3 - 12*m**4 - 7*m**3 + 4 - 43*m**4 + 44*m**2 - 18*m**5 = 0?
-2, -1, -1/3, 1
Let j(h) = -h**2 + 7*h. Suppose 0 = -4*x - 3*z - 11, -8 - 11 = 2*x - 3*z. Let c(d) = -3*d**2 + 24*d. Let g(v) = x*c(v) + 18*j(v). Suppose g(l) = 0. Calculate l.
0, 2
Solve 2/5*f + 4/5 - 4/5*f**2 - 2/5*f**3 = 0 for f.
-2, -1, 1
Let x = 7 - 4. Suppose -2*t = -0*t - 18*t. Solve 0*q + 0 + t*q**2 + 2/7*q**x = 0.
0
Suppose -3*s = -7*s + 8. Factor -3*j + 2 + 0 + 2*j**s - j.
2*(j - 1)**2
Let n(y) = -5*y + 8. Let w be n(7). Let b be 3/(w/6)*-3. Find c such that 2/7*c + 2/7*c**b + 0 = 0.
-1, 0
Let d be (-15)/(-9) - 2/(-6). Let b = -27 - -27. Factor 0*l - 2/5*l**5 + b + 0*l**d + 0*l**4 + 2/5*l**3.
-2*l**3*(l - 1)*(l + 1)/5
Let o(x) be the first derivative of x**6/4 + 6*x**5/5 + 15*x**4/8 + x**3 - 27. Factor o(m).
3*m**2*(m + 1)**2*(m + 2)/2
Factor 1 - o - o**3 - 2*o - 27*o**2 + 30*o**2.
-(o - 1)**3
Let s be 10/15 + 2/(-3). Suppose -6*p**2 + 5 - 2 + s + 3*p**4 = 0. Calculate p.
-1, 1
Let v(h) be the first derivative of h**3/6 + h**2 + 3*h/2 - 8. Find k such that v(k) = 0.
-3, -1
Suppose 13*n - 8 = 18. Let u = -181/3 + 61. Factor -u*v - 2/3*v**n + 0.
-2*v*(v + 1)/3
Let k(c) = -4*c**2 + 16*c - 27. Let z be -3 + 2*14 - 3. Let i(q) = q**2 - 4*q + 7. Let j(x) = z*i(x) + 6*k(x). Factor j(w).
-2*(w - 2)**2
Let h be -14*(1 + 27/(-21)). Let -4*n**2 - 2 + 5*n - h*n + 5*n = 0. What is n?
1/2, 1
Let t(w) be the third derivative of -w**11/498960 - w**5/60 - 3*w**2. Let v(u) be the third derivative of t(u). Find x such that v(x) = 0.
0
Let b = -259 + 262. Determine j so that 2/3 - 2/3*j**2 - 2/3*j + 2/3*j**b = 0.
-1, 1
Let t = -6 - -6. Let y(r) = r + 2. Let h be y(t). Let 1 - 2*l**2 - 3*l**3 - 5*l**2 + 2*l**h - 3*l + 2*l = 0. What is l?
-1, 1/3
Suppose 9*w - 5*w**5 + 3 - 2*w**3 - 3*w**3 - 9*w**4 + 6*w**2 - w**3 + 2*w**5 = 0. What is w?
-1, 1
Let z(c) be the first derivative of -11/5*c**2 - 112/25*c**5 - 73/10*c**4 - 6 - 86/15*c**3 - 16/15*c**6 - 2/5*c. Suppose z(v) = 0. Calculate v.
-1, -1/4
Let n(p) = -5*p**2 - 4*p. Suppose z = 6*z - 20. Let i(b) = -9*b**2 - 7*b. Let w(k) = z*i(k) - 7*n(k). Find q such that w(q) = 0.
0
Suppose 61*q - 37*q = 0. Factor q - 2/3*i**2 - 4/3*i.
-2*i*(i + 2)/3
Let l = -33 - -33. What is b in 0*b**3 + 2/3*b**4 + l*b**2 + 0*b + 0 = 0?
0
Let 8/17*u - 2/17*u**2 - 8/17 = 0. What is u?
2
Factor 6 + 18*t**4 + 12*t**2 + 29*t**2 + 27*t**2 - 20*t**2 - 3*t**5 - 27*t - 42*t**3.
-3*(t - 2)*(t - 1)**4
Let z(k) be the third derivative of 1/72*k**4 - 5*k**2 + 0*k + 0*k**3 - 1/180*k**5 + 0. Factor z(i).
-i*(i - 1)/3
Let i(f) be the third derivative of -f**5/15 + 7*f**4/3 - 98*f**3/3 + 7*f**2. Factor i(a).
-4*(a - 7)**2
Let f(x) be the third derivative of 0*x + 1/4*x**4 + 9*x**2 - 1/2*x**3 + 0 - 1/20*x**5. Factor f(t).
-3*(t - 1)**2
Suppose -2/3*r**4 - 8*r**2 + 4*r**3 + 16/3*r + 0 = 0. Calculate r.
0, 2
Let c(w) be the third derivative of 0*w + 0 + 1/2*w**4 - 1/20*w**5 + 7*w**2 - 2*w**3. Let c(d) = 0. What is d?
2
Factor 0*s + 0*s**2 - 27/4*s**3 - 3/4*s**5 + 0 - 15/2*s**4.
-3*s**3*(s + 1)*(s + 9)/4
Let a(o) be the second derivative of -o**4/12 + o**3/6 - 5*o. Let j(y) = 3*y**2 - 14*y + 5*y**2 + 6*y. Let x(s) = 6*a(s) + j(s). Find i, given that x(i) = 0.
0, 1
Let w(j) be the second derivative of j**4/21 + 2*j**3/21 - 4*j**2/7 + j. Facto