*4/4 + 4*p**3/3 - 2*p**2/3 - 13. Factor k(t).
-t*(3*t - 2)**2/3
Let x be 9 + 8/(24/(-27)). Factor -4/9*o**4 - 2/9*o**5 + 0*o**3 + 0*o**2 + x*o + 0.
-2*o**4*(o + 2)/9
Factor 3/4*z**5 + 0*z**2 + 0 + 0*z**3 + 0*z + 3/4*z**4.
3*z**4*(z + 1)/4
Let g(b) be the second derivative of -b**9/75600 + b**8/16800 - b**6/1800 + b**5/600 + 5*b**4/12 - 4*b. Let p(v) be the third derivative of g(v). Factor p(d).
-(d - 1)**3*(d + 1)/5
Suppose 6*n - 8 = 2*n. Suppose -4*a + 8 = 0, 0*f + 2*f - 4*a = -n. Find u, given that -u + 3 - 3 - u**f + 2*u**2 = 0.
0, 1
Suppose 0*h - 1/2*h**2 + 0 = 0. What is h?
0
Let j = 558/355 - -2/71. Find s, given that 12/5*s**2 + 8/5*s**3 + j*s + 2/5 + 2/5*s**4 = 0.
-1
Let t(z) be the second derivative of 0*z**4 - 1/80*z**5 + 0 + 0*z**2 + 7*z + 1/24*z**3. Factor t(d).
-d*(d - 1)*(d + 1)/4
Let f be (-594)/(-189) + 2/(-14). Factor -2/7*s + 2/7*s**f + 0*s**2 + 0.
2*s*(s - 1)*(s + 1)/7
Let s(f) be the third derivative of -f**7/630 - f**6/36 - 11*f**5/60 - 5*f**4/9 - 8*f**3/9 - 13*f**2. Factor s(m).
-(m + 1)**2*(m + 4)**2/3
Let p(i) be the third derivative of 5*i**8/336 + i**7/42 - i**6/24 - i**5/12 + 12*i**2. Factor p(u).
5*u**2*(u - 1)*(u + 1)**2
Let f(d) = -3*d**2 - 7*d + 10. Suppose 4*o - 7 = 5*o. Let p(i) = -2*i**2 - 5*i + 7. Let w(j) = o*p(j) + 5*f(j). Determine k, given that w(k) = 0.
-1, 1
Let x(p) be the first derivative of p**4/48 - p**3/24 + 5*p + 6. Let z(n) be the first derivative of x(n). Find o such that z(o) = 0.
0, 1
Determine l so that -5 - l**4 + 22*l - 30*l**2 - 5*l**4 + 20*l**3 - 2*l + l**4 = 0.
1
Let v(d) = 8*d**4 + 4*d**3 + 4. Let p(s) = 9*s**4 + 4*s**3 + s**2 + s + 5. Let g(y) = 4*p(y) - 5*v(y). Factor g(l).
-4*l*(l - 1)*(l + 1)**2
Suppose j + f - 3 = 0, -4*j - 2*f + 7*f + 3 = 0. Determine o, given that 0*o**3 + 3*o**2 + j - 3*o**3 - 2 = 0.
0, 1
Let f(i) be the third derivative of -i**5/180 + i**4/18 + 5*i**3/18 - 23*i**2. Factor f(a).
-(a - 5)*(a + 1)/3
Find i, given that 8/5 + 64/5*i - 34/5*i**2 = 0.
-2/17, 2
Let c(v) be the second derivative of -v**4/15 - 16*v**3/15 - v - 2. Determine f so that c(f) = 0.
-8, 0
Let b(c) be the third derivative of -c**5/90 + 2*c**4/9 - 16*c**3/9 - 7*c**2. Let b(r) = 0. What is r?
4
Let f be 2*-6*(-2 + (-51)/(-27)). Let c(h) be the first derivative of -2 + 4/5*h**5 - 1/3*h**2 + f*h + 1/6*h**4 - 16/9*h**3. Find p, given that c(p) = 0.
-1, -2/3, 1/2, 1
Let s(h) be the third derivative of 0 + 1/3*h**3 + 6*h**2 + 1/30*h**5 + 0*h - 1/6*h**4. Find q such that s(q) = 0.
1
Let v(p) be the second derivative of 2*p**7/105 + p**6/20 - p**4/12 - 2*p**2 + 2*p. Let z(c) be the first derivative of v(c). Suppose z(x) = 0. Calculate x.
-1, 0, 1/2
Suppose 0 = 5*h + h. Suppose -6/7*k + h + 3/7*k**2 = 0. What is k?
0, 2
Suppose -w + 2*n + 11 = n, -9 = -w - n. Factor -4 - 2*c - 2*c - 11*c**2 + w*c**2 + 0.
-(c + 2)**2
Let g(w) be the second derivative of -w**5/20 - w**4/3 - 2*w**3/3 - 22*w. Let g(u) = 0. What is u?
-2, 0
Let v = 38 - 38. Let q(u) be the third derivative of 2/3*u**3 + 1/12*u**4 - 1/30*u**5 + 0*u - 3*u**2 + v. Factor q(h).
-2*(h - 2)*(h + 1)
Determine r, given that 3/5*r**5 + 0*r + 0*r**2 + 0*r**3 + 3/5*r**4 + 0 = 0.
-1, 0
Let j(m) be the second derivative of 2*m**5/15 + m**4/2 - 4*m**3/3 - m**2/2 + 8*m. Let p(l) be the first derivative of j(l). Factor p(x).
4*(x + 2)*(2*x - 1)
Let y(j) be the third derivative of -1/180*j**6 + 0*j**4 + 0*j + 0 + 1/90*j**5 + 1/504*j**8 - 1/315*j**7 + 2*j**2 + 0*j**3. Factor y(b).
2*b**2*(b - 1)**2*(b + 1)/3
Let w = 17 - 13. Suppose -3*p - 4*j + 6 = 0, -2*p = -0*p + 5*j - w. Factor 26/9*h**3 + 0*h - 40/9*h**4 + 0 - 4/9*h**p.
-2*h**2*(4*h - 1)*(5*h - 2)/9
Let t be 17/(-85) - 6/(-15). Suppose 0 = 2*o - 4 - 0. Factor 0*g - 1/5 + t*g**o.
(g - 1)*(g + 1)/5
Let g(p) be the first derivative of 2*p**6/3 + 24*p**5/5 + 14*p**4 + 64*p**3/3 + 18*p**2 + 8*p + 14. Find c such that g(c) = 0.
-2, -1
Let k(u) = u**2 + 8*u - 8. Let f be k(-8). Let m = f - -10. Solve 1/2*t**4 + 0*t + 0 - 1/2*t**m + 0*t**3 = 0.
-1, 0, 1
Determine h, given that -3/4*h**3 + 0 - 3/4*h**5 + 0*h + 0*h**2 - 3/2*h**4 = 0.
-1, 0
Let t = -21 - -42. Suppose -5*f - 2*x + 45 = -7*x, -t = -4*f + x. Factor -f*y + 5*y + 0*y**2 - y**2.
-y*(y - 1)
Let y(t) = -11*t**4 + 13*t**3 + 7*t**2 - 9*t. Let g(r) = -6*r**4 + 7*r**3 + 4*r**2 - 5*r. Let x(a) = -10*g(a) + 6*y(a). Determine m so that x(m) = 0.
-2/3, 0, 1
Let m(q) be the second derivative of q**7/5040 - q**6/1440 - q**4/12 - 3*q. Let z(p) be the third derivative of m(p). What is r in z(r) = 0?
0, 1
Factor t**5 - 2681*t + 2681*t + t**4 + 0*t**4.
t**4*(t + 1)
Let x(q) = 2*q**4 + 4*q**3 + 6. Let f = -4 - -3. Let w(a) = 0 - 2 + 0*a**3 - a**2 - a**3 + 1. Let n(v) = f*x(v) - 4*w(v). Factor n(b).
-2*(b - 1)**2*(b + 1)**2
Factor 0 + 2/9*q**3 - 2/9*q**2 - 4/9*q.
2*q*(q - 2)*(q + 1)/9
Let t(s) be the first derivative of -9*s - 5*s**3 + 11/2*s**2 - 3 + 13/4*s**4. Let c(d) = 6*d**3 - 8*d**2 + 6*d - 4. Let v(m) = 5*c(m) - 2*t(m). Solve v(a) = 0.
1/2, 1
Let d(s) be the first derivative of -s**6/48 - 3*s**5/40 - s**4/16 + s**3/12 + 3*s**2/16 + s/8 - 13. Factor d(p).
-(p - 1)*(p + 1)**4/8
Let w be 22/11 + 26/(-14). Let i(k) be the first derivative of 0*k - 1 - w*k**2 - 2/21*k**3. Factor i(s).
-2*s*(s + 1)/7
Let n be (1/(-2))/((-20)/90). Factor 0 + n*q + 1/4*q**3 - 3/2*q**2.
q*(q - 3)**2/4
Let p(u) be the first derivative of 8/27*u**3 + 1 - 5/9*u**2 - 1/18*u**4 + 4/9*u. What is h in p(h) = 0?
1, 2
Let x = 6 - 8. Let u be 9/15 - x/30. Factor u*r - 2/3*r**3 + 0 + 0*r**2.
-2*r*(r - 1)*(r + 1)/3
Let b(d) = 0*d**3 - d**3 - d + 2*d**2 - 4*d**2. Let n(p) = -p**3 - 3*p**2 - 2*p. Suppose 20 = 5*k - 15. Let a(f) = k*b(f) - 3*n(f). Solve a(g) = 0.
-1, -1/4, 0
Let h = -5 + 10. Let n be (3/h)/((-9)/(-10)). Factor 2/3 - 2/3*w**2 + 2/3*w - n*w**3.
-2*(w - 1)*(w + 1)**2/3
Let w(k) = -3*k**4 + 3*k**2 - 8*k + 4. Let m(q) = 19*q**4 + q**3 - 18*q**2 + 48*q - 24. Let g(u) = -6*m(u) - 39*w(u). Solve g(n) = 0 for n.
-2, 1, 2
Suppose -4*l + l + 2*y + 4 = 0, l + 5*y = 7. Let v(f) = -2*f + 23. Let k be v(10). Factor 0*m**k - 4/7*m**4 + 0*m + 0 + 0*m**l - 6/7*m**5.
-2*m**4*(3*m + 2)/7
Let b(q) be the third derivative of q**8/840 + q**7/210 + q**6/180 - q**3/3 - 3*q**2. Let j(r) be the first derivative of b(r). Let j(i) = 0. What is i?
-1, 0
Let w(n) = 3*n**5 - 3*n**4 + 9*n**3 - 15*n**2 + 12*n. Let o(h) = h**5 - h**4 + h. Let i(q) = -6*o(q) + w(q). Factor i(f).
-3*f*(f - 1)**3*(f + 2)
Let p(l) = 0*l - 13*l**3 - 5*l + 13*l**4 + l**2 - 2*l + 13*l**5. Let y(m) = 9*m**5 + 9*m**4 - 9*m**3 + m**2 - 5*m. Let v(k) = -5*p(k) + 7*y(k). Factor v(f).
-2*f**2*(f - 1)*(f + 1)**2
Factor -4*f**3 - 3*f**2 - 25/2 - 1/2*f**4 + 20*f.
-(f - 1)**2*(f + 5)**2/2
Let m(h) = 1. Let k(o) = -2*o**2 - 4*o + 9. Let n(q) = 2*k(q) - 22*m(q). Factor n(v).
-4*(v + 1)**2
Factor 25*r - r**2 - 3*r**4 - r**5 - 3*r**3 - 25*r.
-r**2*(r + 1)**3
Let r(c) = 63*c**2 - 43*c - 1. Let x(w) = 16*w**2 - 11*w. Let d(g) = 2*r(g) - 9*x(g). Determine t so that d(t) = 0.
2/9, 1/2
Let i(r) be the first derivative of 4/11*r**2 - 6/11*r - 3 - 2/33*r**3. Let i(t) = 0. What is t?
1, 3
Let u be 2/((-8)/(-3) - 2). Let x(s) be the third derivative of 0*s + 1/9*s**4 - s**2 - 4/9*s**u + 0 - 1/90*s**5. Factor x(l).
-2*(l - 2)**2/3
Let z(n) be the first derivative of -1/2*n**2 - 1/3*n**3 + 1 + 0*n. Determine a so that z(a) = 0.
-1, 0
Let q(p) = -p - 1. Let b(d) = 2*d**2 - 5*d - 4. Let w(a) = 3*b(a) - 6*q(a). Factor w(k).
3*(k - 2)*(2*k + 1)
Let l(d) be the third derivative of -d**5/24 - 5*d**4/16 + 3*d**2 - 4. Factor l(o).
-5*o*(o + 3)/2
Let x(z) be the first derivative of z**4/8 + z**3/3 - z**2/4 - z + 1. Factor x(s).
(s - 1)*(s + 1)*(s + 2)/2
Let w be 1*0/(1 + 0). Suppose w*r + r = 2. What is n in 4 + 3*n**r - 4*n**2 - 5 + 2*n = 0?
1
Let i(d) = -d**2 + d - 1. Let u(z) = -3*z - 3. Let m(g) = -i(g) - u(g). Let r(c) = -c**2 - c - 1. Let b = 1 + -4. Let q(l) = b*r(l) - m(l). Factor q(k).
(k + 1)*(2*k - 1)
Let 8/7*b**2 - 20/7*b + 8/7 = 0. Calculate b.
1/2, 2
Suppose 1/3*c**2 + 1/9*c**3 + 2/9*c + 0 = 0. Calculate c.
-2, -1, 0
Let r = -17/22 + 3/2. Let b(y) be the first derivative of 8/33*y**3 - 2/11*y**5 + 1 + 0*y - 3/11*y**4 - 1/33*y**6 + r*y**2. Let b(k) = 0. Calculate k.
-2, 0, 1
Let q be 1 + 7 - (4 - 4). Suppose -q - 24*u - 7 - 3 - 8*u**2 = 0. What is u?
-3/2
Let j(h)