 = -3*l. Factor -8*z**4 + l*z**5 - 8*z**5 - 10*z**4 - 2*z**2 - 8*z**3 - 4*z**3.
-2*z**2*(z + 1)**2*(4*z + 1)
Let b be ((-4)/(-6))/((-4)/(-18)). Factor -o**b - 3*o**3 - 2*o**4 + 2 + 72*o - 68*o.
-2*(o - 1)*(o + 1)**3
Factor 0*a**5 + 15*a**5 + 51*a**4 - 31*a**2 + 3*a + 64*a**2 + 63*a**3 + 3*a.
3*a*(a + 1)**3*(5*a + 2)
Suppose -o + 3*s = 6, 3 = -o - 12*s + 14*s. Let d(j) be the third derivative of 0*j**o + 1/20*j**5 + 1/4*j**4 - 4*j**2 + 0 + 0*j. Factor d(i).
3*i*(i + 2)
Let h(y) be the third derivative of y**8/560 + 5*y**7/252 + y**6/180 - 2*y**5/15 + y**4/2 + 21*y**2. Let r(b) be the second derivative of h(b). Factor r(t).
2*(t + 4)*(2*t - 1)*(3*t + 2)
Let w = 29 - 25. Let s(r) = r - 1. Let a be s(w). Factor 8*d**3 + a*d**5 - 6*d**3 - 12*d**4 - 6*d**2 + 13*d**3.
3*d**2*(d - 2)*(d - 1)**2
Suppose -3 = 4*a - 19. Suppose 0 = -a*u + 6 + 2. Determine c so that -44*c**u + 5*c**3 - 4*c**3 + 14*c**2 - 10*c**3 - 8 - 28*c = 0.
-2, -2/3
Let w(z) = z**3 - 21*z**2 - 42*z - 35. Let u(b) = -3*b**3 + 83*b**2 + 170*b + 139. Let j(k) = -6*u(k) - 22*w(k). Factor j(v).
-4*(v + 1)*(v + 4)**2
Let n be 1/(-4) - 63/(-28). Suppose 0 = -0*h - n*h. Factor h*v + 6*v**4 + 4*v - 4*v**4 - 6*v**2.
2*v*(v - 1)**2*(v + 2)
Let i be 44/(-4) + (-25 - -40). Suppose -v**2 + 0 + 1/2*v**3 - 1/2*v + v**i = 0. What is v?
-1, -1/2, 0, 1
Let b = 26 + -23. Factor 4*q**4 + 8*q + q**5 + 12*q**b + 0*q**2 - 5*q**5 - 20*q**2.
-4*q*(q - 1)**3*(q + 2)
Let b(t) be the first derivative of t**3/15 - 4*t/5 - 172. Factor b(i).
(i - 2)*(i + 2)/5
Let x(w) be the second derivative of 0*w**3 - 2/147*w**7 + 4/21*w**4 + 0 - 5*w + 0*w**2 + 2/21*w**6 - 8/35*w**5. Factor x(n).
-4*n**2*(n - 2)**2*(n - 1)/7
Let p(f) be the second derivative of -f**4/3 - 4*f**3/3 + 16*f**2 + 11*f - 1. Factor p(l).
-4*(l - 2)*(l + 4)
Let j = -93 + 97. Factor 4*u**3 + 73*u**5 - 44*u**5 - j*u**2 - 33*u**5 + 4*u**4.
-4*u**2*(u - 1)**2*(u + 1)
Let z(w) be the first derivative of w**4/2 - 4*w**3 + 11*w**2 - 12*w - 77. Factor z(h).
2*(h - 3)*(h - 2)*(h - 1)
Let f(t) be the second derivative of t**5/100 + 11*t**4/15 - 94*t**3/15 + 96*t**2/5 + 12*t - 15. Find j such that f(j) = 0.
-48, 2
Let a be (-2 + -3 + 4)*-3. Factor -1 + 16*o - 4*o**a + o**2 - 2 - 13 + 3*o**2.
-4*(o - 2)*(o - 1)*(o + 2)
Let t be 12/(-30) + (36/(-20))/(-3). Let j be 0/2 + 0 - -4. Find m, given that 0 + 1/5*m - 1/5*m**2 - t*m**3 + 1/5*m**j = 0.
-1, 0, 1
Let d(r) be the first derivative of r**4/14 + 4*r**3/21 - 11*r**2/7 - 24*r/7 + 100. Solve d(p) = 0.
-4, -1, 3
Let u(t) be the first derivative of -2*t**5/25 + 3*t**4/10 + 8*t**3/15 + 14. Solve u(g) = 0.
-1, 0, 4
Let f(n) = n**4 + n**3 - n**2 + 2*n. Let r(h) = 5*h**5 - 13*h**4 + 9*h**3 + 13*h**2 + h. Let a(q) = -5*f(q) + r(q). What is u in a(u) = 0?
-1, 0, 3/5, 1, 3
Let z(y) = -y**2 + 4*y + 3. Let d be z(3). Suppose -2*b = 4*t, -d = -5*b - 5*t + 14. Solve b*a**2 - 7*a**2 - 1 + a - a = 0 for a.
-1, 1
Let n(i) be the third derivative of i**7/630 - 7*i**6/180 + i**5/3 - 13*i**4/9 + 32*i**3/9 - 92*i**2. Factor n(x).
(x - 8)*(x - 2)**3/3
Let z(r) = 9*r**3 + 18*r**3 + 1 - r - 28*r**3. Let t(m) = -25*m**3 + 10*m**2 - 70*m + 30. Let a(c) = -t(c) + 30*z(c). Find q, given that a(q) = 0.
-4, 0, 2
Let y(q) = 7326 + q**2 - 13*q - 3*q**2 + q**2 - 7348. Let k be y(-11). Let -2/13*l**2 + k - 2/13*l = 0. What is l?
-1, 0
Let b = -53 - -54. Let r be 16/(-8) - -1*(1 + b). Factor r*y + 1/4*y**3 + 0 + 0*y**2.
y**3/4
Let s(o) be the first derivative of 2/3*o**3 + 1/2*o**4 - 2/5*o**5 - 1/3*o**6 + 0*o**2 + 0*o + 28. Factor s(f).
-2*f**2*(f - 1)*(f + 1)**2
Let r(d) be the first derivative of d**4/3 - 2*d**3/3 - 20*d - 34. Let i(y) be the first derivative of r(y). Factor i(p).
4*p*(p - 1)
Suppose 1/4*f**2 - 7/4*f**3 - 1/4*f**5 + 1 + 2*f - 5/4*f**4 = 0. What is f?
-2, -1, 1
Let m be -2 + 3 + -2 + 6. Factor -3*l**4 + 2 + 6*l**3 - 20*l**5 + 17*l**m - 2.
-3*l**3*(l - 1)*(l + 2)
Let t(x) = 9*x**3 - 131*x**2 + 1219*x - 3641. Let o(p) = -125*p**3 + 1835*p**2 - 17065*p + 50975. Let q(s) = -4*o(s) - 55*t(s). Factor q(m).
5*(m - 9)**3
Determine p so that 3/7*p**5 + 12/7 - 18/7*p**4 - 27/7*p + 6/7*p**2 + 24/7*p**3 = 0.
-1, 1, 4
Let n(h) be the first derivative of -h**6/6 + h**5 - h**4/4 - 7*h**3 + 9*h**2 - 108. Find v, given that n(v) = 0.
-2, 0, 1, 3
Let x(p) be the first derivative of -7 - 3*p - 5/4*p**6 - 33/5*p**5 - 57/4*p**4 - 16*p**3 - 39/4*p**2. Suppose x(m) = 0. What is m?
-1, -2/5
Let t(d) = -d**5 - 17*d**4 - 12*d**3 + 11*d**2 + 31*d + 15. Let k(u) = u**5 + 9*u**4 + 6*u**3 - 6*u**2 - 15*u - 7. Let n(m) = -9*k(m) - 4*t(m). Factor n(z).
-(z - 1)*(z + 1)**3*(5*z + 3)
Suppose 0 = 2*t - n - 3*n - 18, -3*t + 3*n = -18. Factor -3*s**t + 22/7*s**2 + 1/7*s - 2/7.
-(s - 1)*(3*s - 1)*(7*s + 2)/7
Let i(n) = n**2 + 17*n + 7. Let b be i(-20). Suppose 10*o - b = -27. Solve 1/2 - 7/4*c**2 - 9/4*c**3 + 5/4*c + 9/4*c**o = 0.
-2/3, -1/3, 1
Let w(x) be the second derivative of -x**4/120 + 109*x**3/15 - 11881*x**2/5 - 202*x. Factor w(v).
-(v - 218)**2/10
Let t(c) = -c**3 - c**2 + c - 1. Let w(n) = -10*n**3 + 12*n**2 + 171*n + 289. Let b(y) = 22*t(y) - 2*w(y). Determine m so that b(m) = 0.
-10, -3
Let c be (-3)/12 + -3 + (-523)/(-156). Let v = c - -22/39. What is x in -4/3*x**2 + v + 2/3*x**5 + 2/3*x**4 - 4/3*x**3 + 2/3*x = 0?
-1, 1
Factor -2*d + 0 - 12/5*d**2 - 2/5*d**3.
-2*d*(d + 1)*(d + 5)/5
Suppose -2796 + 2822 = 7*w + 6*w. Determine v so that 1/3*v**4 - 5/3*v - 2/3 - v**w + 1/3*v**3 = 0.
-1, 2
Factor -96*n - 298*n**2 - 21 - 12*n**3 - 14 + 2 + 439*n**2.
-3*(n - 11)*(n - 1)*(4*n + 1)
Suppose -2*f - 6 = 2. Let a = 7 + f. Factor -z**2 + 8*z**4 + z - 3*z**a - 7*z**4 + 2*z**3.
z*(z - 1)**2*(z + 1)
Let u(k) = 2*k**2 + 20*k + 20. Let m be u(-9). Determine z so that 2/13*z**3 + 0 + 2/13*z - 4/13*z**m = 0.
0, 1
Let v = 23 - 19. Let y be 2/v + 51/34. Factor 9 - 2*u**y - 11 - 3*u**2 + 4*u**2 - 3*u.
-(u + 1)*(u + 2)
Let r be 340/80*(-4)/18 + 1. Let z(m) be the second derivative of 0 - 9*m + r*m**4 + 0*m**2 + 1/18*m**5 - 2/27*m**3. Factor z(h).
2*h*(h + 1)*(5*h - 2)/9
Let r = 8 - -20. Let z be 2/6 - r/(-6). Let q(y) = y**2 - 1. Let n(g) = -3*g**4 - 12*g**3 - 10*g**2 - 6*g - 5. Let s(b) = z*q(b) - n(b). Factor s(a).
3*a*(a + 1)**2*(a + 2)
Let c be (74/(-111)*-9)/(78/4). Factor 0 + 0*f - c*f**2 + 2/13*f**4 - 2/13*f**3.
2*f**2*(f - 2)*(f + 1)/13
Factor -2*k**2 + 56*k + 5*k**2 + 5*k**2 + 4*k**3 - 56*k.
4*k**2*(k + 2)
Let t be 7/(-22) + (-3)/(-6). Let r = -475 - -5233/11. Factor r - 8/11*o + t*o**2.
2*(o - 2)**2/11
Let w(u) be the first derivative of -u**4/2 - 2*u**3 - 3*u**2 - 2*u - 295. Factor w(p).
-2*(p + 1)**3
Let v = -54 - -58. Let r(o) = -8*o**3 + 16*o**2 - 2*o - 4. Let b(f) = 23*f**3 - 48*f**2 + 6*f + 12. Let g(a) = v*b(a) + 14*r(a). Find k such that g(k) = 0.
-2/5, 1
Let l(p) be the third derivative of -p**5/240 + 19*p**4/96 - 3*p**3/4 - 2*p**2 + 16*p. Suppose l(z) = 0. What is z?
1, 18
Solve -196/5 - 29/5*c**2 - 1/5*c**3 - 224/5*c = 0.
-14, -1
Suppose -16*g + 1160 = -14*g. Factor 570*w - 28*w**3 + 35*w**2 + 8*w**3 - 5 - g*w.
-5*(w - 1)**2*(4*w + 1)
Let f(c) be the third derivative of -1/90*c**5 + 0*c + 0 - 1/18*c**4 + 22*c**2 + 0*c**3. Find x such that f(x) = 0.
-2, 0
Let y(l) = 2*l**2 - 58*l - 58. Let i be y(-1). Let d(m) be the second derivative of 5/12*m**4 + 25/3*m**3 + 0 + i*m + 125/2*m**2. Solve d(g) = 0.
-5
Let a(s) be the third derivative of 1/2016*s**8 + 0*s - 10*s**2 + 0*s**3 + 0*s**4 - 1/360*s**5 - 1/420*s**7 + 0 + 1/240*s**6. Factor a(q).
q**2*(q - 1)**3/6
Let w be (-1584)/15 + -2 - 6/(-10). Let g = w + 107. Factor g*y + 0 - 1/3*y**2.
-y**2/3
Let l(c) be the third derivative of c**8/112 + 3*c**7/10 - 5*c**6/8 - 13*c**5/4 + 3*c**4 + 22*c**3 - 2*c**2 + 21*c. Determine o, given that l(o) = 0.
-22, -1, 1, 2
Let h(j) be the third derivative of j**8/336 - j**7/70 + j**6/120 + j**5/20 - j**4/12 + 3*j**2 + 54. Factor h(n).
n*(n - 2)*(n - 1)**2*(n + 1)
Let l be 6955/2140*((-15)/(-13) + -1). Factor 0 + 1/2*c - 1/2*c**3 - 1/2*c**4 + l*c**2.
-c*(c - 1)*(c + 1)**2/2
Let h be 1 - 2*5/(-10). Find x, given that x**5 + 2*x**2 + 3*x**h - 6*x**5 + 9*x**4 + 6*x**4 - 15*x**3 = 0.
0, 1
Suppose 0 = t - 17 + 1. Suppose -36 + t = -5*x. Let 14/11*h**3 - 4/11*h + 6/11*h**x + 0 - 6/11*h**2 - 10/11*h**5 = 0. Calculate h.
-1, -2/5, 0, 1
Let g(d) be the third derivative of d**7/1155 + d*