*v - 2. Suppose l = 5*n - 9 - 11. Factor -1/3*k**n + 2/3*k + 1/3 - 2/3*k**3 + 0*k**2.
-(k - 1)*(k + 1)**3/3
Let q(b) = 5*b**3 - 5*b**2 - 4*b. Suppose 3*c - 5*c = 6. Let j(a) = -9*a**3 + 9*a**2 + 8*a. Let m(v) = c*j(v) - 5*q(v). Factor m(p).
2*p*(p - 2)*(p + 1)
Let x(c) be the first derivative of c**6/720 - c**4/48 - c**3 + 3. Let a(k) be the third derivative of x(k). Determine v so that a(v) = 0.
-1, 1
Let p(j) be the first derivative of -j**5/40 - 5. Let p(c) = 0. Calculate c.
0
Let f(b) = -b - 7. Let x be f(-8). Factor -x + 2 + 2*t**2 + 2*t - 5.
2*(t - 1)*(t + 2)
Let n(l) be the first derivative of l**4/15 + 4*l**3/5 + 18*l**2/5 + 2*l - 8. Let z(b) be the first derivative of n(b). Factor z(u).
4*(u + 3)**2/5
Determine h so that 2*h - h**2 + 10 - h**3 - 10 = 0.
-2, 0, 1
Suppose 3*k + 92 = -k. Let s = k + 25. Suppose s*j**3 - 4/5 - 2*j + 4/5*j**2 = 0. Calculate j.
-1, -2/5, 1
Let q(v) be the first derivative of v**6/3 - 8*v**5/5 - v**4/2 + 8*v**3/3 + 6. Factor q(k).
2*k**2*(k - 4)*(k - 1)*(k + 1)
Let y(d) be the third derivative of d**2 + 0*d + 0*d**3 + 1/36*d**4 + 0 + 1/90*d**5. Factor y(r).
2*r*(r + 1)/3
Factor -34 + 5*m**2 + 25*m - 1 + 5.
5*(m - 1)*(m + 6)
Let i(y) = -y**2 - 1. Let w(u) = -2*u**2 - 36*u + 103. Let j(k) = -5*i(k) + w(k). Factor j(v).
3*(v - 6)**2
Let g(y) = -3*y**4 + y**3 + 4*y**2. Let j(k) = -k**4 + k**2. Let z(s) = g(s) - 4*j(s). Factor z(w).
w**3*(w + 1)
Let h(a) = 2*a**2 - 14*a - 12. Let j(b) = 3*b**2 - 15*b - 13. Let d(m) = -5*h(m) + 4*j(m). Factor d(n).
2*(n + 1)*(n + 4)
Let d(x) = -x**3 - x - 1. Let a be d(-2). Let z(w) = w**2 - 9*w + 3. Let f be z(a). Factor 2/5*i**4 + 0*i + 0 - 4/5*i**2 - 2/5*i**f.
2*i**2*(i - 2)*(i + 1)/5
Suppose 4*g + z - 3*z - 8 = 0, -z - 8 = -3*g. Factor -1/3*p**3 + 0*p - 3*p**5 + 0 + 0*p**2 + 2*p**g.
-p**3*(3*p - 1)**2/3
Let i(v) = v - 6. Let f be i(9). Find z such that 2*z**5 + 0*z**4 + 2*z**4 - z**4 - f*z**5 = 0.
0, 1
Let t be (3/(-1) + 2)*(-16)/56. Factor t + 4/7*z + 2/7*z**2.
2*(z + 1)**2/7
Let t(v) be the first derivative of 2*v**5/15 + v**4/12 - 2*v**3/9 - v**2/6 + 7. Find u, given that t(u) = 0.
-1, -1/2, 0, 1
Let p(f) be the second derivative of f**7/525 + f**6/75 + 9*f**5/250 + 7*f**4/150 + 2*f**3/75 + 26*f. Find d such that p(d) = 0.
-2, -1, 0
Suppose 5*w + 0*w = 5*d - 200, 0 = -5*w - 5*d - 160. Let i = w + 110/3. Factor -1/3*r**2 - i*r**3 + 2/3*r + 1/3.
-(r - 1)*(r + 1)*(2*r + 1)/3
Let k(y) = y**2 - 6*y + 15. Let u(v) = v**2 - 6*v + 14. Let i(n) = n + 6. Let o be i(0). Let r(l) = o*u(l) - 5*k(l). Solve r(z) = 0 for z.
3
Let g(x) be the third derivative of x**10/10080 - x**9/1260 + x**8/448 - x**7/420 + x**4/4 - 4*x**2. Let f(b) be the second derivative of g(b). Factor f(d).
3*d**2*(d - 2)*(d - 1)**2
Suppose -5*y**2 + 20 + y + 17*y - 3*y = 0. Calculate y.
-1, 4
Let l(z) be the second derivative of z**5/80 - z**4/24 - z**3/6 + z**2 + 22*z. Factor l(n).
(n - 2)**2*(n + 2)/4
Let b(m) be the second derivative of -m**6/10 + 9*m**5/20 - 3*m**4/4 + m**3/2 + 2*m. Factor b(g).
-3*g*(g - 1)**3
Let v(m) be the third derivative of -m**7/1470 + m**6/280 - m**5/210 - 30*m**2. Factor v(o).
-o**2*(o - 2)*(o - 1)/7
Let r(p) be the third derivative of -p**8/336 + p**7/30 - p**6/12 - 3*p**5/10 + 9*p**4/8 + 9*p**3/2 - 9*p**2. Factor r(y).
-(y - 3)**3*(y + 1)**2
Let g(o) = -3*o**3 - o**2. Let r be g(-1). Solve -14*s**2 - 2*s + 11*s**r - 7*s = 0 for s.
-3, 0
Let h(r) be the third derivative of 0*r + 0*r**5 + 0*r**4 + 0*r**3 - 1/540*r**6 + 2*r**2 + 0. Factor h(s).
-2*s**3/9
What is f in -24*f - 12*f - 7 - 3 + 11*f - 15*f**2 = 0?
-1, -2/3
Let l = -79/2 + 40. Let 0*w - l*w**2 + 2/3 - 1/6*w**3 = 0. Calculate w.
-2, 1
Suppose 6*j + 117 = 135. Find f such that 0 - 1/5*f**j - 1/5*f**2 + 0*f = 0.
-1, 0
Suppose -3*z = -5*z + 4. Factor z*n**5 - 3*n**5 + 0*n**5.
-n**5
Suppose -8 = 2*f - 12. Let w(v) be the first derivative of -3 - 5/9*v**f - 4/9*v + 14/27*v**3. Factor w(z).
2*(z - 1)*(7*z + 2)/9
Let v = -11 - -15. Factor -v*s - 6*s + 2*s**2 + 4 + 4*s.
2*(s - 2)*(s - 1)
Let w(y) = y**3 + y - 1. Let o(u) = -6*u**3 + u**2 - 2*u + 3. Let n(j) = o(j) + 5*w(j). Let b be n(2). What is m in 0*m**2 + b + 1/5*m**3 + 0*m - 1/5*m**4 = 0?
0, 1
Let v(w) = w**2 - 21*w - 43. Let l be v(23). Let y(p) be the second derivative of -1/36*p**4 + p + 0*p**2 + 0*p**l + 0. Factor y(u).
-u**2/3
Let l(z) be the first derivative of z**6/1800 + z**5/600 - 2*z**3/3 + 3. Let p(q) be the third derivative of l(q). Determine f so that p(f) = 0.
-1, 0
Let t(d) be the third derivative of -1/10*d**5 + 1/40*d**6 + 1/8*d**4 + 0*d - 3*d**2 + 0*d**3 + 0. Let t(l) = 0. What is l?
0, 1
Let z(v) be the first derivative of -v**4/10 - 2*v**3/5 - 2*v**2/5 - 5. Determine j, given that z(j) = 0.
-2, -1, 0
Let p = -2 - -2. Suppose p = -h + 2. Find i, given that 7 + h*i**3 - 7 = 0.
0
Let j(y) be the first derivative of -y**9/9072 + y**8/5040 + y**3/3 + 1. Let k(c) be the third derivative of j(c). Factor k(n).
-n**4*(n - 1)/3
Let h(b) be the second derivative of -b**6/105 + b**4/21 - b**2/7 + 8*b. Factor h(n).
-2*(n - 1)**2*(n + 1)**2/7
Let q(p) be the first derivative of -1/4*p**2 - 1/6*p**6 - 7/6*p**3 + 7/8*p**4 - 7 + p + 1/10*p**5. Suppose q(x) = 0. What is x?
-2, -1/2, 1
Let w(i) = 0 - 3*i - 2*i**2 - 5*i + 7 - 2. Suppose 3*c = 2*j - 16, -4*c + 5*j - 9 = 10. Let u(v) = 3*v**2 + 9*v - 6. Let m(l) = c*w(l) - 5*u(l). Factor m(t).
-3*t*(t - 1)
Let c(v) be the third derivative of -v**5/240 + v**4/12 - 2*v**3/3 - 12*v**2. Find o, given that c(o) = 0.
4
Find x, given that 8/7*x**2 + 2/7*x**3 + 0 + 6/7*x = 0.
-3, -1, 0
Let y = 370 - 1109/3. Determine o so that -2/3*o + y*o**2 - 4/3 + 1/6*o**3 = 0.
-2, 2
Factor 0 + 0*r**2 + 0*r - 3/2*r**3.
-3*r**3/2
Let u(o) be the second derivative of -2/105*o**6 + 0 + 1/14*o**4 + 3*o + 1/70*o**5 - 1/21*o**3 - 1/7*o**2. Solve u(c) = 0.
-1, -1/2, 1
Let r(c) be the first derivative of 3*c**5/5 + 33*c**4/16 + 9*c**3/4 + 3*c**2/8 - 3*c/4 - 10. Let r(o) = 0. Calculate o.
-1, 1/4
Let o(t) be the first derivative of 0*t**2 + 1/2*t - 5 - 1/6*t**3. Determine c so that o(c) = 0.
-1, 1
Let t = -19 + 23. Find y, given that 11*y**3 + 0*y**t + y**4 - 12*y**3 = 0.
0, 1
Let y(x) be the third derivative of -x**5/240 - x**4/6 - 8*x**3/3 + 37*x**2. Factor y(n).
-(n + 8)**2/4
Let y be (-4)/6 + (-52)/(-6). Let a = y + -6. Factor 0*p**2 - 2*p**2 + p**a + p**3.
p**2*(p - 1)
Factor -1 + 10*k + k**2 - 16 + 26.
(k + 1)*(k + 9)
Suppose 4*r + 3 - 7 = 0. Let d be (0 + 1 + 1)*r. Find b, given that -6*b**2 - 6*b**d + 4*b**2 + 3*b - b = 0.
0, 1/4
Let d(a) be the third derivative of 0 - 6*a**2 + 0*a + 1/150*a**6 - 2/15*a**3 - 1/30*a**4 + 1/100*a**5 + 1/1050*a**7. Factor d(t).
(t - 1)*(t + 1)*(t + 2)**2/5
Let t(u) be the first derivative of 4 + 2*u + 1/3*u**3 + 3/2*u**2. Factor t(r).
(r + 1)*(r + 2)
Let l be (-3 + 14/4)*4. Let k be l + (-1 - 2) + 3. Factor 4 + o**2 - 4*o**2 + o**3 - o + k*o**2 - 3.
(o - 1)**2*(o + 1)
Suppose -8 = m - 4*t, 1 = 4*t - 7. Suppose m = f + 4*f. Factor -14/5*j**3 + f + 4/5*j + 2*j**2.
-2*j*(j - 1)*(7*j + 2)/5
Let y = -6 + 9. Factor 6 - 6 + g**2 + 2*g - g**y.
-g*(g - 2)*(g + 1)
Suppose 3*o - 3 = 2*o + 2*w, 0 = -3*w. Let 0 - 2/7*z**o - 2/7*z**4 + 2/7*z + 2/7*z**2 = 0. Calculate z.
-1, 0, 1
Let v(z) be the first derivative of -z**6/360 + z**4/24 + 2*z**3/3 + 3. Let x(m) be the third derivative of v(m). Suppose x(h) = 0. What is h?
-1, 1
Let k = -307 + 1541/5. Factor -k*r + 3/5 + 3/5*r**2.
3*(r - 1)**2/5
Let u(v) = -21*v**2 + 7*v - 1. Suppose 4*m = 3*m + 5. Let b(r) = 62*r**2 - 22*r + 2. Let z(t) = m*b(t) + 14*u(t). Solve z(a) = 0.
-1/4, 1
Let g(w) be the second derivative of 14*w**6/5 - 13*w**5/5 - 4*w**4 + 8*w**3/3 + 37*w. Determine l so that g(l) = 0.
-2/3, 0, 2/7, 1
Let o(g) = 4 - 2 + 2*g**2 + 2*g**3 - 14*g**2. Suppose -n - 21 = 2*n. Let f(w) = -2*w**3 + 13*w**2 - 1. Let p(l) = n*o(l) - 6*f(l). Let p(x) = 0. What is x?
-1, 2
Let j be (1/(-4))/(15/(-20)). Let i = -98/3 - -33. Find d, given that 1/3*d**3 - j*d**2 + 1/3 - i*d = 0.
-1, 1
Let r(f) = f**3 + 6*f**2 + 4*f - 2. Let c be ((-2)/4)/((-5)/(-50)). Let n be r(c). Factor 0*b + 1/2*b**n + 0 + 0*b**2.
b**3/2
Let f = -85/2 + 43. Suppose 1/6*j**2 + 1/3 + f*j = 0. What is j?
-2, -1
Let g(q) be the second derivative of q**6/75 + 3*q**5/50 - 7*q**4/30 - q**3 + 18*q**2/5 + 17*q. Factor g(u).
2*(u -