ative of x**7/15 + x**6/30 - 7*x**5/30 - x**4/6 - 4*x**2 - 16*x. Let o(w) be the first derivative of j(w). Factor o(v).
2*v*(v - 1)*(v + 1)*(7*v + 2)
Factor 300 + 1/3*n**2 + 20*n.
(n + 30)**2/3
Suppose 5*f = 6*f - 2. Factor 8 - 6*d - 11*d**2 + 2*d - d**f.
-4*(d + 1)*(3*d - 2)
Let d be 1100/(-660)*2/((-10)/9). Let r(o) be the second derivative of 0 + 9*o + 6*o**d + 1/5*o**5 + 2*o**4 + 0*o**2. Solve r(n) = 0 for n.
-3, 0
Let p be (10 - 4)*1/5. Let s = 5628 - 28132/5. Solve s + 4/5*z**3 - p*z**2 - 8/5*z + 2/5*z**4 = 0 for z.
-2, 1
Let f(r) = 9*r**3 + 13*r**2 + 4*r - 11. Let m(k) = 5*k**3 + 7*k**2 + 2*k - 6. Let w be 6/(-3)*22/4. Let g(z) = w*m(z) + 6*f(z). Factor g(y).
-y*(y - 2)*(y + 1)
Suppose -g - 11 = -5*h, 3*h + h + 3*g - 5 = 0. Let v(r) be the first derivative of 0*r**h + 0*r + 8*r**4 - 4*r**5 - 7 + 16/3*r**3. Factor v(l).
-4*l**2*(l - 2)*(5*l + 2)
Factor 11/8*d**2 - 5/4*d - 1 - 1/4*d**3.
-(d - 4)*(d - 2)*(2*d + 1)/8
Let s(i) = 2*i + 5. Let u be s(-5). Let q(l) = -10*l**3 - 35*l**2 - 35*l + 5. Let a(p) = 5*p**3 + 17*p**2 + 17*p - 3. Let z(t) = u*a(t) - 3*q(t). Factor z(k).
5*k*(k + 2)**2
Let -6*h**2 + 3*h**4 + 2*h**3 - h - 9 + 16 - 4 - h**5 = 0. What is h?
-1, 1, 3
Suppose -18 = -34*c + 186. Let q(h) be the third derivative of 0*h**3 + 1/168*h**8 + 0*h - 1/105*h**7 + 0 + 0*h**4 + 0*h**c - 4*h**2 + 0*h**5. Factor q(g).
2*g**4*(g - 1)
What is n in 0 + 0*n - 8/13*n**5 - 6/13*n**4 + 2/13*n**3 + 0*n**2 = 0?
-1, 0, 1/4
Let a(t) be the first derivative of -2*t**5/5 - 4*t**4 - 10*t**3 + 4*t**2 + 40*t - 31. Factor a(m).
-2*(m - 1)*(m + 2)**2*(m + 5)
Let t = -12 + 16. Let c be ((-2)/(-6))/(t/72). Suppose 3*u**2 + 3*u + 9*u**2 - 6 + 5*u**5 - c*u**3 + 0*u**5 - 2*u**5 - 6*u**4 = 0. What is u?
-1, 1, 2
Let s(c) be the first derivative of c**6/3 + 16*c**5/5 + 11*c**4/2 - 16*c**3/3 - 12*c**2 + 108. Find a such that s(a) = 0.
-6, -2, -1, 0, 1
Suppose 4*w + 2144 = -4*a, -4*a + 5*a + 511 = 4*w. Let d = a - -4787/9. Solve d + 16/9*q + 10/9*q**2 + 2/9*q**3 = 0.
-2, -1
Suppose 0 = 3*v - 2*u - 28, -6*v + v + 40 = -5*u. Solve 5*l**3 + v*l**4 - 6*l**3 - 11*l**3 - 21*l**2 - 6*l = 0.
-1/2, 0, 2
Let d(l) = -l**3 - 2*l**2 + l + 2. Let p be d(0). Factor -18*s**2 + 369 - 57*s**p + 166*s + 5*s**3 + 209*s - 994.
5*(s - 5)**3
Let m(d) be the third derivative of -d**7/105 + d**6/30 + 7*d**5/30 + d**4/3 - 72*d**2. Suppose m(k) = 0. What is k?
-1, 0, 4
Suppose 0 = -i + 1 - 2, 2*i = -4*z + 18. Factor 11*b + 12*b**2 - 4*b + 4*b**3 + z*b - 4*b.
4*b*(b + 1)*(b + 2)
Suppose -17/3*u**4 + 104/3*u**3 - 280/3*u**2 - 48 + 1/3*u**5 + 112*u = 0. Calculate u.
1, 2, 6
Let f(j) = -5*j**2 + 3*j + 2. Let h(c) = 14*c**2 - 8*c - 6. Suppose 14 - 2 = 3*s. Let y be 2 - ((-4)/(-1) + -13). Let o(k) = s*h(k) + y*f(k). Factor o(p).
(p - 1)*(p + 2)
Let f(k) be the second derivative of 2*k**6/15 - 3*k**5/5 - k**4/3 + 2*k**3 - 238*k. Find g, given that f(g) = 0.
-1, 0, 1, 3
Let n(w) = -8*w**3 + 37*w**2 + 99*w + 37. Let c(b) = 3*b**3 - 12*b**2 - 33*b - 12. Let r(y) = 17*c(y) + 6*n(y). Solve r(g) = 0.
-3, -2, -1
Factor 5/3*r**4 + 0 + 25/3*r**2 - 20/3*r**3 - 10/3*r.
5*r*(r - 2)*(r - 1)**2/3
Let p(f) = -5*f**3 - 16*f**2 + 14*f - 4. Let t(w) = w**3 + 3*w**2 - 3*w + 1. Let r(m) = 2*p(m) + 11*t(m). Find j such that r(j) = 0.
-3, 1
Let p(q) = 8*q**2 - 5*q + 82. Let h(g) = 2*g**2 + g + 2. Let a(c) = -5*h(c) + p(c). Factor a(f).
-2*(f - 4)*(f + 9)
Let c(k) be the second derivative of k**6/30 - k**5/5 - 7*k**4/3 - 16*k**3/3 - 7*k - 7. Factor c(z).
z*(z - 8)*(z + 2)**2
Let h(x) = 3*x - 6. Let j be h(4). Suppose -2*s - 68 = -80. Factor -5*o**2 + 3*o**4 + 2*o**2 - j*o**2 + s*o**3.
3*o**2*(o - 1)*(o + 3)
Let v be 32 + 168/(-77) + 2/11. Let -10*g + v*g - 3 + 3 - 25 + 5*g**2 = 0. What is g?
-5, 1
Factor 3/8*t**4 + 9/2*t**3 + 0 + 15/4*t + 63/8*t**2.
3*t*(t + 1)**2*(t + 10)/8
Suppose 0 = 839*y - 848*y + 45. Let a(p) be the second derivative of 0 + 1/14*p**3 - 1/14*p**4 + 0*p**2 + 3/140*p**y + 14*p. Factor a(s).
3*s*(s - 1)**2/7
Let y(m) be the first derivative of 2*m**5/15 + 15*m**4 + 118*m**3/3 + 88*m**2/3 + 894. Factor y(a).
2*a*(a + 1)**2*(a + 88)/3
Let j = 3812 + -15247/4. Solve 15/4*a + j*a**3 - 7/4 - 9/4*a**2 = 0 for a.
1, 7
Let c(j) be the second derivative of -j**6/255 + j**5/34 - j**4/34 - 3*j**3/17 + 113*j. Factor c(y).
-2*y*(y - 3)**2*(y + 1)/17
Let s = -11 - -16. Suppose 8*z - 3*z + 5 = s*p, -4*p + 9 = z. Determine f so that 9*f - 5*f**2 + 1 + z + 4 - f**2 = 0.
-1/2, 2
Determine h, given that -27*h - 348*h**3 - 113*h - 165*h**2 + 641*h**3 - 15 - 333*h**3 = 0.
-3, -1, -1/8
Factor -3/4*y**4 - 3/4*y**3 + 15/4*y**2 - 9/4*y + 0.
-3*y*(y - 1)**2*(y + 3)/4
Let y(m) be the third derivative of m**7/420 + m**6/30 + 7*m**5/120 - 120*m**2. Suppose y(t) = 0. Calculate t.
-7, -1, 0
Let r(b) be the first derivative of 1/6*b**3 + 0*b**4 - 1/20*b**5 + 0*b**2 - 1/4*b + 49. Solve r(m) = 0.
-1, 1
Factor 5/3*h + 4 + 1/6*h**2.
(h + 4)*(h + 6)/6
Let a(u) be the third derivative of u**6/90 + u**5/10 + u**4/3 + 19*u**3/6 - 13*u**2. Let l(w) be the first derivative of a(w). Factor l(o).
4*(o + 1)*(o + 2)
Let o(t) = -7*t**2 - 5*t - 7. Let h(j) = 8*j**2 + 6*j + 8. Let m(w) = -6*h(w) - 7*o(w). Let l(r) = 10*r**2 + 30*r + 5. Let a(c) = l(c) - 5*m(c). Factor a(f).
5*f*(f + 7)
Let h be 80/(-12) + -4 - 1/3. Let y be 3/7 + h/(-7). Factor 0*d + 1/2*d**y - 1/2*d**4 + 0 + 1/2*d**5 - 1/2*d**3.
d**2*(d - 1)**2*(d + 1)/2
Let r(i) = -4*i**2 + 34*i + 200. Let d be 3/(1/(-6)*3). Let h(x) = 9*x**2 - 67*x - 400. Let j(b) = d*h(b) - 13*r(b). Factor j(u).
-2*(u + 10)**2
Let m(x) = -x + 12. Let p = -7 - -14. Let y be m(p). Factor 8*l**5 + 3*l**4 + l**2 + l**3 + 2*l**3 - 7*l**y.
l**2*(l + 1)**3
Let q(v) = 8*v**2 + 8*v - 3. Let p(b) = -2*b + 1. Let w(s) = -3*p(s) - q(s). What is i in w(i) = 0?
-1/4, 0
Suppose -8/3*c**2 + 2/9*c**3 - 26/9*c + 0 = 0. What is c?
-1, 0, 13
Let m(q) be the third derivative of q**7/6720 - q**6/960 + q**4/48 + q**3 + 9*q**2. Let v(h) be the first derivative of m(h). Solve v(n) = 0.
-1, 2
Let d = -18596 + 111577/6. Factor d*t**2 + 0 - 1/6*t.
t*(t - 1)/6
Suppose 3*c - 140 = -t, 4*t + 98 = c + 34. Factor 51*h + 28*h**2 + 6*h + 50*h - 43*h + 4*h**3 + c.
4*(h + 2)**2*(h + 3)
Let y = 318/5 + -62. Let u = y + -11/10. Factor 1/6 + 0*i - u*i**2 - 1/3*i**3.
-(i + 1)**2*(2*i - 1)/6
Let l be ((-90)/(-11) - 5) + -3. Let v(m) be the second derivative of m - 1/66*m**4 - l*m**2 + 0 - 1/11*m**3. Let v(x) = 0. Calculate x.
-2, -1
Let p(o) be the first derivative of -o**8/5880 - o**7/1470 + o**6/420 + o**3 + 6. Let j(s) be the third derivative of p(s). Factor j(v).
-2*v**2*(v - 1)*(v + 3)/7
Let h = -3 + 5. Suppose j + 4 = -3*u, u = h*j - 0*u - 6. Factor 2/9*z**5 + 0*z**j + 0*z + 0 + 0*z**4 + 0*z**3.
2*z**5/9
Let q(c) be the first derivative of -c**3/15 - 4*c**2/5 - 3*c + 273. Factor q(u).
-(u + 3)*(u + 5)/5
Let y(u) = -19*u**3 - 161*u**2 - 118*u + 326. Let v(x) = -13*x**3 - 107*x**2 - 78*x + 218. Let l(d) = 7*v(d) - 5*y(d). Factor l(z).
4*(z - 1)*(z + 2)*(z + 13)
Let v be 15 - (0 - 1 - 0). Let g = 4 - 2. Factor -12*q**g - 7 + 1 + v*q + 3*q**3 - q.
3*(q - 2)*(q - 1)**2
Suppose 3 = -2*s + 8 + 1. Find r, given that -28/3*r - 38/3*r**2 - 2 - 8/3*r**s + 8/3*r**4 = 0.
-1, -1/2, 3
Let v(t) be the first derivative of t**3/24 - t**2/8 - 6*t + 473. Solve v(b) = 0 for b.
-6, 8
Suppose -44*g + 180 = -10*g + 56*g. What is j in -4/5*j**3 + 4*j**g - 12/5*j**4 - 8/5 + 4/5*j = 0?
-1, 2/3, 1
Let d(t) be the second derivative of -t**6/6 + 5*t**4/6 - 5*t**2/2 - 14*t + 2. Find p, given that d(p) = 0.
-1, 1
Suppose 6*h + 1195 - 1219 = 0. Solve -1/3*r**5 + 2/3*r + r**h - 1/3*r**3 - r**2 + 0 = 0.
-1, 0, 1, 2
Let o(t) be the second derivative of t**7/378 - t**6/270 - t**5/36 + 5*t**4/108 + 2*t**3/27 - 2*t**2/9 + 90*t. Suppose o(r) = 0. What is r?
-2, -1, 1, 2
Let u be (2/(-10))/(-2 + 1). Let w = 4384 - 21919/5. Factor -u + 4/5*y**3 + 4/5*y - 6/5*y**2 - w*y**4.
-(y - 1)**4/5
Let z(u) be the first derivative of -u**4/8 + u**3/6 + u**2/2 - 13. Find r such that z(r) = 0.
-1, 0, 2
Let b(w) = w**3 - w**2. Let r be 150/20*2/5. Let q(c) = -3*c**4 - 13*c**3 + 9*c**2 + 5*c + 2. Let k(d) = r*q(d) + 24*b(d). Determine x, given that k(x) = 0.
-1, -2/3, 1
Let q(c) be the third derivative of c**6/600 - c**4/40 + c**3/15 + 2*c**2 + 22. Let q(k) = 0. What is k?
-2, 1
Let n = 30 - 23. Determ