 be k(21). Let d(v) = 8*v - 14 - 7 - v**2 + 25. Let j(q) = x*d(q) - 2*g(q). Factor j(r).
-r*(r - 6)
Let y(h) = -h**4 + 375*h**3 + 8819*h**2 - 9989*h - 18437. Let b(z) = 2*z**4 - 938*z**3 - 22048*z**2 + 24972*z + 46092. Let k(u) = 5*b(u) + 12*y(u). Factor k(c).
-2*(c - 2)*(c + 1)*(c + 48)**2
Suppose 3*a + 4*b - 3 + 10 = 0, -5*b = 4*a + 8. Factor 6*k**2 + k**3 - 2*k**2 - 14*k + 7 + 1 + k**a.
2*(k - 1)**2*(k + 4)
Let p(o) be the second derivative of 3*o + 0 - 7/6*o**3 + 1/12*o**4 - 9*o**2. Let p(w) = 0. What is w?
-2, 9
Let t = -296 + 366. Factor 0*x**3 + 5*x**3 - 4 - 233*x**2 + 4 - t*x + 298*x**2.
5*x*(x - 1)*(x + 14)
Solve 70 - 36*o + 1/2*o**3 - 69/2*o**2 = 0 for o.
-2, 1, 70
Factor 2/5*y**3 - 2004/5 - 4006/5*y - 400*y**2.
2*(y - 1002)*(y + 1)**2/5
Let o(k) be the second derivative of k**8/84 - 2*k**7/15 + k**6/2 - 3*k**5/5 - 30*k**2 + k - 2. Let u(y) be the first derivative of o(y). Factor u(j).
4*j**2*(j - 3)**2*(j - 1)
Let h be -40 + 7/((-490)/(-3880)). What is a in -15*a**2 + h + 36/7*a**3 - 3/7*a**4 - 36/7*a = 0?
-1, 1, 6
Suppose 50*x - 1014 = 4*x + 7*x. Factor x*g + 5/2*g**2 + 10.
(g + 10)*(5*g + 2)/2
Let r(l) be the third derivative of 3*l**8/224 - l**7/20 - l**6/60 + 179*l**3/6 - 85*l**2. Let a(w) be the first derivative of r(w). What is y in a(y) = 0?
-2/15, 0, 2
Factor 4/5*y**3 - 1836/5 - 228/5*y**2 + 252*y.
4*(y - 51)*(y - 3)**2/5
Factor 192/7 + 8*u**2 - 2/7*u**3 + 250/7*u.
-2*(u - 32)*(u + 1)*(u + 3)/7
Suppose 52*d - 51*d - 40 = 0. Let y = d - -1584. Factor 1622*q**3 - q**2 + 3*q**2 - y*q**3.
-2*q**2*(q - 1)
Let i(t) = -t - 3. Suppose -3*h - 10 = -2*h - 2*o, 4*h + o + 31 = 0. Let v be i(h). Factor 6*s**2 - 10*s**4 + 5*s + 4*s**2 - 14 + 14 - v*s**5.
-5*s*(s - 1)*(s + 1)**3
Let s(o) = o**3 + 18*o**2 + 89*o + 135. Let g be s(-11). Factor -17/3*u**2 - 1/6*u**5 - 4/3*u**4 - 23/6*u - 4*u**g - 1.
-(u + 1)**3*(u + 2)*(u + 3)/6
Suppose -25*h - 210 = -39*h. Let m(v) be the third derivative of 0 + 1/6*v**3 + 1/180*v**5 + h*v**2 + 1/18*v**4 + 0*v. Factor m(j).
(j + 1)*(j + 3)/3
Let d(c) be the third derivative of 0*c**3 + 0 + c**4 + 142*c**2 + 1/180*c**6 - c + 2/15*c**5. Find n, given that d(n) = 0.
-6, 0
Let o = -4414/129 - -1500/43. What is j in 1/3*j**3 - o - j**2 - 5/3*j + 1/3*j**4 = 0?
-1, 2
Let h(b) = b**3 + 3*b**2 - 4*b + 2. Let y be h(-4). Suppose -3*d + 4*d = 16. Determine l, given that -d*l**y + 17*l**2 - 7 + 2 - 4*l = 0.
-1, 5
Let f(s) be the second derivative of -3/5*s**2 + 2 - 1/6*s**4 - 3*s + 7/15*s**3 + 1/50*s**5. Let f(q) = 0. Calculate q.
1, 3
Let p(u) = -2*u**3 + 11*u**2 + 9*u - 8. Let g be p(6). Let m be (-6)/((-25)/g - (-1)/2). Factor -4*c**m + 12 - 20 - 20*c - 2*c**2 - 14*c**2.
-4*(c + 1)**2*(c + 2)
Let m be (((-18)/1575)/((-3)/(-15)))/(-5*(-5)/(-1500)). Factor -2/7*j**4 + m*j**2 - 4*j + 10/7 - 4/7*j**3.
-2*(j - 1)**3*(j + 5)/7
Let m = -5506 - -5509. Let o(x) be the first derivative of 0*x**2 + 0*x + 2/15*x**m - 1/10*x**4 + 11. Determine a so that o(a) = 0.
0, 1
Let w be -1*(9/(-24) + 114/48) - (8 + -13). Find j such that 6/17*j**4 + 0 + 32/17*j**w + 30/17*j**2 - 36/17*j = 0.
-3, 0, 2/3
Let n(h) be the first derivative of 0*h + 137 + 0*h**2 - 12*h**3 - 13/5*h**5 + 1/6*h**6 + 10*h**4. Solve n(w) = 0 for w.
0, 2, 9
Let r(l) = 7*l**2 + 23*l - 159. Let f(j) = 32*j**2 + 120*j - 794. Let i(o) = -3*f(o) + 14*r(o). Factor i(v).
2*(v - 13)*(v - 6)
Solve 928/5*w**2 + 108/5*w**3 + 816/5*w + 0 - 4/5*w**4 = 0.
-6, -1, 0, 34
Let j(d) be the third derivative of -2*d**7/147 - 33*d**6/35 - 97*d**5/7 + 1177*d**4/21 - 464*d**3/7 - 2828*d**2. Find t, given that j(t) = 0.
-29, -12, 2/5, 1
Let g be (6/(-7))/(5424/(-224) - -21). Let v(k) be the third derivative of -8/15*k**4 - 77/150*k**5 - 1 + 0*k - g*k**3 - 49/300*k**6 + 5*k**2. Factor v(z).
-2*(z + 1)*(7*z + 2)**2/5
Let z = -904 + 1307. Let l = -1607/4 + z. Factor 7/4*u + 1/2 + l*u**2.
(u + 1)*(5*u + 2)/4
Let k(u) be the third derivative of -u**5/240 - 41*u**4/48 + 7*u**3 - 472*u**2. Find i such that k(i) = 0.
-84, 2
Let y(v) be the second derivative of 100/7*v**2 - 130/21*v**3 - 3/140*v**5 + 28*v - 29/42*v**4 + 1. Find p, given that y(p) = 0.
-10, 2/3
Suppose 4 + 2 = 3*m. Suppose 0 = m*v + 5*v - 21. Factor 323*y**2 + 2*y**3 - 325*y**2 + v*y**3.
y**2*(5*y - 2)
Suppose 1/9*v**3 - 140/9 + 23/3*v**2 - 8*v = 0. What is v?
-70, -1, 2
Let m(f) be the first derivative of 8*f**3 + 246 + 3/5*f**5 + 0*f + 0*f**2 - 1/2*f**6 + 15/2*f**4. Suppose m(b) = 0. What is b?
-2, -1, 0, 4
Let m be (-148004)/(-29964) - (2/(-33) - 0). Suppose -2*k - 8 = 2, -5*v - 2*k + 15 = 0. Factor 6*h**4 + 18*h**5 - v*h**m - 2*h**3 - 17*h**5.
-2*h**3*(h - 1)*(2*h - 1)
Let u(s) = -261*s - 30537. Let z be u(-117). Let 0 - 3/2*p**3 + 9/2*p**4 + z*p - 3*p**2 = 0. Calculate p.
-2/3, 0, 1
Let l(r) = r**3 + 4*r**2 + r - 4. Let n be l(-3). Suppose -d + n*k = -11, 2*d - 4*d = 3*k + 6. Factor -v + 7*v**2 + 5*v + d - 6*v**2.
(v + 1)*(v + 3)
Suppose 3*n + 11 = 5*o, 5*o = -5*n + 715 - 680. Let g(b) be the third derivative of 0*b + 0 + 0*b**3 - 1/70*b**5 + 7*b**2 + 1/280*b**6 - 3/56*b**o. Factor g(y).
3*y*(y - 3)*(y + 1)/7
Let u = 104167/6 + -17361. Let l(w) be the second derivative of 1/18*w**3 - 24*w - 1/18*w**4 + 1/126*w**7 - 1/30*w**5 + 0 + 1/90*w**6 + u*w**2. Factor l(b).
(b - 1)**2*(b + 1)**3/3
Find u, given that 176/3*u**2 - 752/9*u + 4*u**3 + 256/9 = 0.
-16, 2/3
Let k(u) be the third derivative of -1/60*u**6 - 36*u**3 - 27/4*u**4 - 5*u**2 + 0*u - 27 - 3/5*u**5. Suppose k(c) = 0. What is c?
-12, -3
Let g be 8/(-8)*113*-1. Factor -21*h**3 + 55 + 30 - 22*h**2 - 3*h**4 - 36 - 5*h**2 + g + 81*h.
-3*(h - 2)*(h + 3)**3
Let c(w) be the second derivative of -w**5/6 - 29*w**4/9 - 19*w**3/9 + 154*w**2/3 + w + 270. Let c(l) = 0. What is l?
-11, -2, 7/5
Suppose -7*l - 2*d + 32 = 10*l - 14*l, -4*d + 52 = 0. Determine o, given that 16/5*o**l - 4/5*o - 12/5 = 0.
-3/4, 1
Let n(z) be the first derivative of 1/3*z**3 - 86 + 729*z + 27*z**2. Factor n(j).
(j + 27)**2
Suppose 15*k + 51 - 81 = 0. Let y be 2 - k/(-6)*(30 + -21). Determine j so that -5/8*j**4 + 0 - j**3 - 1/2*j**2 + 0*j - 1/8*j**y = 0.
-2, -1, 0
Let z(d) be the third derivative of d**7/14 - 23*d**6/40 - 5*d**5/2 + 28*d**4 + 48*d**3 + 84*d**2. What is b in z(b) = 0?
-3, -2/5, 4
Let a be 2 + (-2)/(-2) - (1 + -1). Factor -11*o**3 + 2560 + 121*o**2 + 6*o**a + 171*o - 1131*o - o**2.
-5*(o - 8)**3
Let a be (102/(-18) - -6)*-18 - -8. Factor 5*z**4 - 7*z**a - 2*z**2 + z**2 - 2*z**3 - z**5.
-z**2*(z - 4)*(z - 2)*(z + 1)
Let t(w) be the third derivative of 0*w**4 - 1/135*w**6 + 0*w + 133*w**2 + 1/945*w**7 + 0*w**3 + 0 + 1/90*w**5. Factor t(m).
2*m**2*(m - 3)*(m - 1)/9
Let w(p) = p**2 - 6*p - 60. Let m be w(-7). Factor 200 - 34*z + z**3 - 115*z + 2052*z**2 + 4*z**3 - 2022*z**2 - m*z.
5*(z - 2)**2*(z + 10)
Let g be (0*(-89)/(-5340))/((-3)/1 + 2). Find m such that g*m + 6 - 3/2*m**3 - 9/2*m**2 = 0.
-2, 1
Factor 744*d + 349*d**3 - 1028*d**2 + 10*d**5 + 17*d**4 - 85*d**4 + 217*d**3 - 1983 + 1871 - 64*d**4.
2*(d - 7)*(d - 2)**3*(5*d - 1)
Let a(d) be the second derivative of d**4/12 + 167*d**3/2 - 251*d**2 + 38*d - 18. Determine s, given that a(s) = 0.
-502, 1
Let v(z) = -z + 46. Let o be v(0). Let q = o - 44. Determine j, given that 4 + 5 + 24*j + 5 + 2 + j**3 + 9*j**q = 0.
-4, -1
Suppose -2*x + 38 + 90 = 0. Let t be (-1 - 0 - 2)*x/(-96). Factor -1/3*o**t - 1/3*o**5 + 0 - o**4 + 0*o - o**3.
-o**2*(o + 1)**3/3
Let c(g) = -34*g - 30. Let p be c(-3). Suppose 33*b = 24*b + p. Factor 0*z**2 + 2*z**5 - b*z**4 - 6*z - 12*z**3 + 16*z**3 + 8*z**2.
2*z*(z - 3)*(z - 1)**2*(z + 1)
Let i(j) be the third derivative of -7*j + 0*j**3 - j**2 + 1/150*j**5 + 0 - 1/60*j**4. Suppose i(z) = 0. Calculate z.
0, 1
Let i be 16*10/1280*10 - (-508)/16. Factor 121/3 + i*r - 7*r**2 + 1/3*r**3.
(r - 11)**2*(r + 1)/3
Let -28/23 + 8/23*y**2 + 44/23*y**3 - 2*y + 2/23*y**5 + 20/23*y**4 = 0. Calculate y.
-7, -2, -1, 1
Let 29783*o**4 + 382*o**2 + 29754*o**4 + 36*o - 296*o**3 - 144 - 59515*o**4 = 0. Calculate o.
-6/11, 1, 12
Let i(t) = 7*t + 169. Let p be i(-21). Let h be 16/84*(p/(-12) + 3). Let -4/9*b**3 + 0*b - h*b**2 + 0 = 0. What is b?
-1/2, 0
Let z(h) = h**3 - 221*h**2 - 943*h + 9675. Let b be z(225). Factor b + 2/3*v**3 - 14*v + 8/3*v**2.
2*v*(v - 3)*(v + 7)/3
Suppose o = -4*a + 15 - 11, 0 = -5*a - 3*o + 12. Let r(p) be the first deriv