8*o**3 + 98*o**2 - 264*o - 1892. Factor x(y).
-4*(y - 3)*(y - 2)*(y + 11)
Let z(s) = 32*s + 128. Let i be z(-36). Let o = i - -1026. Factor 8/3 + 2/3*d**o + 8/3*d.
2*(d + 2)**2/3
Let c be (-1 - 10 - (-2176)/192)*12. Solve -2/11*h**c + 0 + 0*h + 4/11*h**3 + 0*h**2 = 0 for h.
0, 2
Find r such that 72*r**3 - 146*r**3 - 888*r**2 + 76*r**3 - 1982*r**2 = 0.
0, 1435
Factor -520*t - 522 - 26*t**2 + 31*t**2 - 3*t**2.
2*(t - 261)*(t + 1)
Let w(j) = -21*j**3 + 8135*j**2 - 822111*j - 1040400. Let x(y) = -y**3 + 9*y. Let l(s) = w(s) - x(s). Factor l(q).
-5*(q - 204)**2*(4*q + 5)
Let q(v) be the third derivative of v**7/42 + 3*v**6/8 + 25*v**5/12 + 45*v**4/8 + 25*v**3/3 + 2958*v**2. Factor q(z).
5*(z + 1)**2*(z + 2)*(z + 5)
Factor -808*s**2 - 652864*s - 1/3*s**3 - 527514112/3.
-(s + 808)**3/3
Let d(o) = -2920*o - 2935. Let y(m) = -m**2 - 1459*m - 1467. Let u(g) = -3*d(g) + 5*y(g). Solve u(j) = 0 for j.
-1, 294
What is g in 2*g + 0 + 3/4*g**3 + 25/4*g**2 = 0?
-8, -1/3, 0
Let d(u) be the first derivative of -u**7/4200 + 7*u**6/900 + 20*u**3/3 + 55. Let s(l) be the third derivative of d(l). Factor s(t).
-t**2*(t - 14)/5
Let j = -2064342/13 - -159150. Find z such that 192/13*z - j - 2/13*z**2 = 0.
48
Let f(k) = -99*k + 809. Let v be f(8). Let q(a) be the second derivative of 7/3*a**3 - 2*a**2 + 0 - 1/2*a**4 + v*a. Factor q(l).
-2*(l - 2)*(3*l - 1)
Let h(l) be the second derivative of -1/8*l**4 - 1/2*l**3 + 2 + 5*l + 9/4*l**2. Factor h(g).
-3*(g - 1)*(g + 3)/2
Let k(h) = -h**2 + 8*h + 24. Let j be k(-2). Factor 40*b**3 - 13*b + 21*b + 2*b**2 + 2*b**4 + 34*b**2 + 10*b**j.
4*b*(b + 1)*(b + 2)*(3*b + 1)
Let o = -1926402/5 + 385284. Factor -93/5*k - 3*k**2 - o.
-3*(k + 6)*(5*k + 1)/5
Factor -24*p + 95371*p**2 + 9*p**3 + 5*p**3 - 95337*p**2.
2*p*(p + 3)*(7*p - 4)
Let b(u) be the third derivative of -u**8/120960 + u**7/10080 + u**6/1080 + 9*u**5/10 - 76*u**2. Let a(d) be the third derivative of b(d). Factor a(x).
-(x - 4)*(x + 1)/6
Let p(r) be the first derivative of -4*r**3/3 + 400*r**2 - 40000*r + 792. Factor p(g).
-4*(g - 100)**2
Factor 128/5 + 1/5*g**3 + 48/5*g**2 - 1/5*g**4 - 176/5*g.
-(g - 4)**2*(g - 1)*(g + 8)/5
Let o(r) be the second derivative of r**6/60 - r**5/10 + r**4/6 - 99*r**2/2 + 2*r + 12. Let j(f) be the first derivative of o(f). Let j(y) = 0. Calculate y.
0, 1, 2
Suppose -8*h + 22 = -98. Factor h*b**2 - 194 - 9*b + 194 + b**3 + 5*b**3.
3*b*(b + 3)*(2*b - 1)
Let x be 252/(-65)*18725/(-1070). Determine q so that 84/13*q + x + 2/13*q**2 = 0.
-21
Let d be 804/((15/(-2))/(-5)). Solve -29 + 25*o**2 + 78*o + d - 22*o**2 = 0 for o.
-13
Factor -89*c**3 - 92*c**2 - 416*c + 120*c**3 - 432 - 27*c**3.
4*(c - 27)*(c + 2)**2
Let y(l) = 27*l**4 + 180*l**3 + 96*l**2 - 57*l - 6. Let w(k) = -28*k**4 - 179*k**3 - 96*k**2 + 55*k + 8. Let b(g) = -3*w(g) - 4*y(g). Factor b(f).
-3*f*(f + 1)*(f + 7)*(8*f - 3)
Let q be 43 + -47 + (-6)/(-1). Find r, given that -5*r**2 - 25*r**3 - 25*r**q - 2*r**2 - 5*r**4 - 30 + 25*r + 67*r**2 = 0.
-6, -1, 1
Let d(u) = 28*u**3 + 84*u**2 + 185*u + 54. Let o(w) = 34*w**3 + 84*w**2 + 186*w + 52. Let s(b) = 4*d(b) - 3*o(b). Factor s(p).
2*(p + 3)*(p + 5)*(5*p + 2)
Suppose 23*r - 156 + 87 = 0. Let h be ((-18)/8)/((-1)/4). Factor -31*l - 3*l**2 + 2*l**2 + h*l + r*l**2.
2*l*(l - 11)
Let 0 + 5*x**2 + 9/4*x**3 + 0*x + 1/4*x**4 = 0. What is x?
-5, -4, 0
Let l(i) be the third derivative of i**6/180 - 22*i**5/45 - 23*i**4/9 + 1436*i**2. Solve l(j) = 0.
-2, 0, 46
Let m(q) = q**2 - 30*q + 176. Let u(l) = 16*l + 104. Let o be u(-6). Let i be m(o). Factor 2/9*y**3 + i*y + 0 - 4/9*y**2.
2*y**2*(y - 2)/9
Let r(n) = 12*n - 188. Let w be r(16). Factor u**3 + 26*u**2 + 13*u - 43*u - w + 76 - 3*u**3 - 50*u.
-2*(u - 9)*(u - 2)**2
Let r(t) be the first derivative of t**6/6 - 14*t**5/15 + 5*t**4/12 + 50*t**3/9 - 34*t**2/3 + 8*t + 1243. Determine c so that r(c) = 0.
-2, 2/3, 1, 2, 3
Suppose 5*v - 4*j = 7, 0 = -64*j + 65*j - 2. Let w(l) be the first derivative of -1/2*l**2 - 1/4*l**4 - 8 + 0*l + 2/3*l**v. Let w(a) = 0. Calculate a.
0, 1
Suppose 5*s + 6 = 2*t + 102, 0 = 5*s + 5*t - 110. Suppose -4*g = 3*u - 8 - 17, 2*g - s = -4*u. Factor 3*p + 30*p**u - 34*p**3 + 12*p**2 - 3*p.
-4*p**2*(p - 3)
Let z(g) be the third derivative of 0*g + 7/540*g**6 + 1/30*g**5 + 0*g**3 + 1/54*g**4 - 8*g**2 + 0. Suppose z(s) = 0. Calculate s.
-1, -2/7, 0
Let f(s) = 10*s**3 - 194*s**2 + 1216*s - 984. Let y(k) = 2*k**3 - 39*k**2 + 243*k - 197. Let j(p) = -3*f(p) + 16*y(p). Suppose j(z) = 0. Calculate z.
1, 10
Let p(y) be the first derivative of y**7/1890 - 7*y**6/1080 + y**5/135 + y**4/18 + 3*y**2/2 - 64. Let l(j) be the second derivative of p(j). Solve l(d) = 0.
-1, 0, 2, 6
Let h(z) be the first derivative of z**4/30 + 16*z**3/15 + 16*z**2/3 - 384. Factor h(q).
2*q*(q + 4)*(q + 20)/15
Let x be (1372/(-35))/4 - -10. Find j such that j**2 + x*j**3 + 0 + 6/5*j = 0.
-3, -2, 0
Factor -9/5 + 3/5*k**2 - 6/5*k.
3*(k - 3)*(k + 1)/5
Let a(q) be the first derivative of -q**6/6 + 5*q**5/4 - 5*q**4/4 - 15*q**3/2 - 48*q - 5. Let z(y) be the first derivative of a(y). Factor z(l).
-5*l*(l - 3)**2*(l + 1)
Let v(c) be the first derivative of -2*c + 68 + 1/3*c**3 + 1/2*c**2. Factor v(y).
(y - 1)*(y + 2)
Let w(u) be the first derivative of 4*u**4 - 2972*u**3/3 + 68820*u**2 + 34596*u + 9234. Find x, given that w(x) = 0.
-1/4, 93
Let g(b) be the first derivative of -b**6/15 - 14*b**5/25 - b**4/5 + 56*b**3/15 + 24*b**2/5 - 2267. Suppose g(r) = 0. Calculate r.
-6, -2, -1, 0, 2
Suppose -2160 + 846*y**2 + 1188*y - 1/2*y**5 + 125*y**3 + 3/2*y**4 = 0. What is y?
-6, 1, 20
Let t be (14 - -55) + (-4)/(-1). Suppose 2*q + 16 = h, -4*h - q + 0*q = -t. Suppose -33 + 15 + h*j + 9*j**2 + 33*j = 0. Calculate j.
-6, 1/3
Let b(a) = -3*a**2 + 9*a - 18. Let w(f) = 4*f + 70. Let x be w(-16). Let h(v) = -3*v**2 + 9*v - 16. Let k(y) = x*h(y) - 5*b(y). Factor k(s).
-3*(s - 2)*(s - 1)
Suppose 0 = -81*q - 334*q + 1245. Let s(h) be the second derivative of -1/180*h**5 + 0 - 1/9*h**2 - 5/54*h**q - 8*h - 1/27*h**4. Find b, given that s(b) = 0.
-2, -1
Suppose -2 = k, 0 = f - 35*k + 32*k - 6. Let d(l) be the third derivative of 0*l + f*l**4 + 0 - 12*l**2 + 1/3*l**3 - 1/30*l**5. Suppose d(i) = 0. Calculate i.
-1, 1
Let w be (-2472)/(-84) + (-792)/33. Factor w*f + 4 - 2/7*f**3 + 8/7*f**2.
-2*(f - 7)*(f + 1)*(f + 2)/7
Let k(l) = 40*l**3 - 42*l**3 + 3 + 2*l + 0*l. Let t(r) = -5*r**3 + 5*r + 7. Let i(g) = 7*k(g) - 3*t(g). Factor i(c).
c*(c - 1)*(c + 1)
Let u(w) = 12*w**4 + 109*w**3 - 1114*w**2 + 3849*w - 4498. Let x(s) = -2*s**4 + s**3 + s - 2. Let r(k) = u(k) + 7*x(k). Find c, given that r(c) = 0.
3, 4, 47
Let -2980/3*b - 994 + 2/3*b**2 = 0. Calculate b.
-1, 1491
Let g(n) be the second derivative of 2*n**6/15 - 19*n**5/5 - 65*n**4 - 366*n**3 - 972*n**2 + 26*n + 21. Let g(u) = 0. Calculate u.
-3, -2, 27
Let w(u) be the second derivative of 0*u**2 + 0*u**4 - 1/56*u**7 + 9/80*u**5 - 1/6*u**3 + 1/60*u**6 + 204*u + 0. Let w(i) = 0. What is i?
-1, 0, 2/3, 2
Let z(t) be the third derivative of t**9/7560 - t**7/420 + t**6/180 - 23*t**4/2 - 164*t**2. Let q(g) be the second derivative of z(g). Factor q(c).
2*c*(c - 1)**2*(c + 2)
What is b in 20/3 + 133/3*b**2 - 118/3*b - 61/6*b**3 - 3/2*b**4 = 0?
-10, 2/9, 1, 2
Let r(i) be the third derivative of i**6/300 + 27*i**5/100 + 13*i**4/40 - 4*i**3/3 - 341*i**2. Determine h so that r(h) = 0.
-40, -1, 1/2
Let s(y) = y**2 - 7*y + 2. Let z be s(7). Let i = z + 1. Let -3*p**3 + 0*p + i*p - 9 + 6*p**2 + 3 = 0. What is p?
-1, 1, 2
Let s(w) be the first derivative of -1/12*w**4 - 7*w - 1/40*w**5 + 0*w**2 + 0*w**3 - 28. Let t(b) be the first derivative of s(b). Solve t(m) = 0 for m.
-2, 0
Let f(y) be the first derivative of 0*y + 35/2*y**2 + 5/28*y**4 + 75/14*y**3 - 21 + 1/420*y**5. Let o(z) be the second derivative of f(z). Factor o(k).
(k + 15)**2/7
Let c(b) = 6*b**2 - 6. Let j(n) = n + 5. Let h be j(4). Let g(x) = x**2 - 1. Suppose 37*k = 111*k + 74. Let w(a) = h*g(a) + k*c(a). Factor w(u).
3*(u - 1)*(u + 1)
Let t = 305 - 907/3. Let y = 895/3 + -893/3. Factor 2*z**2 + 0 + y*z - t*z**3.
-2*z*(z - 1)*(4*z + 1)/3
Let c be ((-4)/8 + (-22)/(-4))*4. Factor -c*j**3 + 25*j**4 + 0*j**5 - 5*j**5 + 10*j - 10*j.
-5*j**3*(j - 4)*(j - 1)
Let a(z) = -5*z**3 - 42*z**2 + 2*z + 1. Let c(n) be the first derivative of -n**4/4 + n**3 -