. Factor c(v).
v*(v - 375)*(v - 1)
Determine q so that 134*q - 481 - 4*q**4 + 6*q**4 - 30*q**3 + 202*q + 225 - 52*q**2 + 0*q**4 = 0.
-4, 1, 2, 16
Suppose 0 = 8*v + 9615 - 9647. Factor 245/2 + 55/4*c**3 + 5/4*c**v + 45/4*c**2 - 595/4*c.
5*(c - 2)*(c - 1)*(c + 7)**2/4
Let u(i) be the third derivative of -23/36*i**4 - 7/36*i**5 + 1/2016*i**8 + 0 + 0*i - 191*i**2 - 10/9*i**3 + 1/630*i**7 - 17/720*i**6. Factor u(x).
(x - 5)*(x + 1)*(x + 2)**3/6
Let d(l) = l**2 + 2*l - 1. Let j(g) = g**2 + 20*g + 13. Let o(w) = 10*w + 19. Let a be o(-2). Let r(b) = a*j(b) + 3*d(b). Factor r(m).
2*(m - 8)*(m + 1)
Let r = -202 - -170. Let z be r/112 + ((-125)/(-14))/5. Let 0 - 6*y**4 - z*y**2 + 17/2*y**3 - y = 0. Calculate y.
-1/4, 0, 2/3, 1
Let l = -272 - -275. Let w be -5*(-8)/60*l/7. Suppose -10/7*y + 4/7 + 4/7*y**3 + w*y**2 = 0. Calculate y.
-2, 1/2, 1
Let g(r) be the second derivative of r**4/48 - 37*r**3/12 + 213*r**2/8 + 1490*r. Suppose g(z) = 0. Calculate z.
3, 71
Let v(i) = i**3 - 24*i**2 - 1742*i + 1603. Let g be v(-32). Find f such that 0 - 7/2*f**2 + 5/2*f + f**g = 0.
0, 1, 5/2
Let k(i) be the third derivative of i**6/60 - 34*i**5/15 - 71*i**4/3 - 96*i**3 + 317*i**2. Suppose k(b) = 0. What is b?
-2, 72
Let o(q) = 2*q**5 + q**3 + q**2 + 13. Let t(m) = -12*m**5 + 70*m**4 + 74*m**3 - 98*m**2 - 56*m + 56. Let f(h) = 4*o(h) - 2*t(h). Determine y so that f(y) = 0.
-1, 3/8, 1, 5
Let z(m) = -4*m**5 - 370*m**4 - 1121*m**3 - 1108*m**2 - 363*m + 10. Let i(w) = -2*w**4 + w**3 - w - 2. Let j(v) = 5*i(v) + z(v). Factor j(g).
-4*g*(g + 1)**3*(g + 92)
Let z(w) be the second derivative of w**4/20 - 131*w**3/10 + 39*w**2 + 4*w - 138. Let z(a) = 0. Calculate a.
1, 130
Let s(h) be the third derivative of -h**5/15 + 53*h**4/6 - 1137*h**2. Factor s(n).
-4*n*(n - 53)
Let o be (2 + (-14)/49)/(2/14). Let t be 4*1 - (-100)/10. Factor -o - 16*r - 3*r**2 + 18*r - t*r.
-3*(r + 2)**2
Let 5/2*r**2 - 39/2 - r = 0. What is r?
-13/5, 3
Suppose -3*f + 173 = 38. Let b(a) = -a. Let m be b(0). Find x, given that 2*x**3 + m*x - f*x**2 + 41*x**2 + 2*x = 0.
0, 1
Suppose -5*k + 1 = -3*w, w = 2*k + 6 - 7. Find t such that -18*t**4 - t**5 + 9*t**4 + 2*t**k + t**3 + 7*t**4 = 0.
-2, -1, 0, 1
Let p be (-4)/(-26) - 461084/(-1234376). Let b = p + 3/166. Solve -2/11*v - 4/11*v**3 - b*v**2 + 0 = 0 for v.
-1, -1/2, 0
Let z(d) be the second derivative of -2/25*d**6 + 4/5*d**3 - 1/105*d**7 + 8/5*d**2 - 1/15*d**4 - 18*d - 11/50*d**5 - 1. Find v such that z(v) = 0.
-2, -1, 1
Suppose -220064 - 2/13*j**2 + 368*j = 0. What is j?
1196
Suppose -28 = -2*m + 2. Let z be (24/40)/(3/m). Determine n, given that -n**3 + 30*n**2 + 3*n**3 + 2*n**z - 22*n**2 = 0.
-2, 0
Let c(i) = 8*i - 184. Let b be c(24). Let p(l) be the first derivative of 8/3*l**3 + 1 + 32/3*l - 1/3*l**4 - b*l**2. Factor p(j).
-4*(j - 2)**3/3
Let q(g) be the first derivative of g**5/4 - 35*g**4/8 + 25*g**3 - 65*g**2 + 80*g + 560. Let q(f) = 0. Calculate f.
2, 8
Let f = 3/28453 + 1280373/113812. Factor f - 1/4*s**2 - 11*s.
-(s - 1)*(s + 45)/4
Let l be (324/(-16))/((-78 - -87) + (-10 - 0)). Let h(c) be the second derivative of 0*c**2 + c - 10/3*c**3 + 15*c**4 + 16 - l*c**5. Find g such that h(g) = 0.
0, 2/9
Let i(v) = -157*v**3 + 306*v**2 - 715*v + 341. Let k(c) = -25*c**3 + 51*c**2 - 119*c + 57. Let s(d) = -6*i(d) + 38*k(d). Find o such that s(o) = 0.
3/4, 2, 10
Let z(f) be the third derivative of -7/5*f**5 + 0*f - 24*f**3 + 46*f**2 + 0 - 19/180*f**6 - 1/315*f**7 - 9*f**4. Factor z(k).
-2*(k + 1)*(k + 6)**3/3
Factor -91260 - 3/5*c**3 - 90792*c + 2337/5*c**2.
-3*(c - 390)**2*(c + 1)/5
Let p(c) = c**3 + 3*c + 1. Let z(o) = -16*o**3 + 1276*o**2 + 103588*o + 299548. Let d(g) = -20*p(g) - z(g). Factor d(j).
-4*(j + 3)*(j + 158)**2
Let d(s) be the third derivative of -s**5/15 - 56*s**4 + 1272*s**2 + 2*s. Factor d(c).
-4*c*(c + 336)
Let k = 6775142/7 + -967808. Suppose k - 36/7*v + 2/21*v**2 = 0. Calculate v.
27
Let n(j) be the second derivative of j**4/12 + 7*j**3/6 + 4*j**2 - 14*j. Let c be n(-6). Factor -6*u - 84 + 16 - 4*u**c + 54*u - 76.
-4*(u - 6)**2
Suppose -107*q = 3516*q - 7246. Factor -28/5*s**4 - 82/5*s - 128/5*s**q - 2/5*s**5 - 4 - 92/5*s**3.
-2*(s + 1)**4*(s + 10)/5
Let o(y) be the first derivative of -7*y**4/3 - 2708*y**3/9 + 1760*y**2/3 - 784*y/3 + 1328. Solve o(z) = 0.
-98, 2/7, 1
Let l = 4653 - 2113. Let h be 6/(-18) - (l/12)/(-5). Factor 12*q + 13*q**2 - 18 + 11*q**2 + 4*q**3 + h + 32*q.
4*(q + 1)*(q + 2)*(q + 3)
Let k(t) = -2*t**2 - 210*t - 196. Let d be k(-104). Let -3/2*p**2 - 18 - d*p = 0. What is p?
-6, -2
Let b be 8/14*(-203)/(-21402)*669. Let j = 70/41 + b. Factor -2*s**4 - j*s**2 + 1/3*s**5 + 3*s + 14/3*s**3 - 2/3.
(s - 2)*(s - 1)**4/3
Let k(t) be the third derivative of -t**7/1680 - 7*t**6/960 + 37*t**5/480 + 175*t**4/192 - 49*t**3/4 + 2993*t**2. Factor k(z).
-(z - 4)*(z - 3)*(z + 7)**2/8
Let h(b) be the third derivative of b**7/630 + b**6/180 - b**5/15 - 5*b**4/9 - 16*b**3/9 - 2*b**2 - 12*b + 36. Factor h(y).
(y - 4)*(y + 2)**3/3
Suppose -2*j = -160 + 140. Factor 5*v**3 + v**2 - j*v**2 + 0*v**3 + 4*v**2.
5*v**2*(v - 1)
Let v = -5510613/5 - -1102124. Solve v*l**3 + 0 - 7/5*l**2 + 2/5*l**4 - 12/5*l = 0.
-4, -1, 0, 3/2
Let z(y) be the first derivative of y**5/45 - y**4/6 - 8*y**3/9 - 69*y**2 + 106. Let i(t) be the second derivative of z(t). Factor i(x).
4*(x - 4)*(x + 1)/3
Factor 2/9*u**3 + 0*u - 530/9*u**2 + 0.
2*u**2*(u - 265)/9
Let w(x) = -7*x**2 - 2303*x + 3. Let u(h) = -8*h**2 - 2288*h + 4. Let q(p) = -3*u(p) + 4*w(p). Factor q(k).
-4*k*(k + 587)
Suppose -2*g + 4*x + 71 = 11, -11*g - 21 = 5*x. Factor 16/3*v - 16/3*v**3 + 4*v**2 + 4/3*v**g - 16/3.
4*(v - 2)**2*(v - 1)*(v + 1)/3
Let y(d) be the third derivative of d**5/20 + 13*d**4/4 + 44*d**3 - 13987*d**2. What is c in y(c) = 0?
-22, -4
Suppose 0 = -n + v + 213, 14*n = 13*n + 5*v + 193. Let w = n + -218. Factor w - 2/5*m**2 + 2/5*m.
-2*m*(m - 1)/5
Let k(o) be the first derivative of o**3/3 + 15*o**2 + 56*o + 5593. Factor k(m).
(m + 2)*(m + 28)
Let c(g) be the second derivative of -25*g**7/84 + 17*g**6/2 - 939*g**5/10 + 1537*g**4/3 - 1536*g**3 + 2592*g**2 - 767*g. Solve c(f) = 0 for f.
2, 36/5
Let u(k) = -k**3 + 7*k**2 - 7*k + 2. Let y be u(5). Let v be 1483/3 - y/51. Factor -514*i + v*i + i**2 + 6 + 5*i**2.
2*(i - 3)*(3*i - 1)
Let r(n) = 11*n**3 - 440*n**2 - 459*n + 878. Let o(f) = 355*f**3 - 14080*f**2 - 14690*f + 28090. Let k(y) = -2*o(y) + 65*r(y). Factor k(z).
5*(z - 89)*(z - 1)*(z + 2)
Suppose -2*d - 3*t = 16, -d - 2*t - 31 = -19. Determine b, given that 54/5*b**3 - 6/5*b - 9/5 + 36/5*b**2 + 21/5*b**d = 0.
-1, 3/7
Let k(h) be the first derivative of -2*h**6/45 + h**5/15 + 2*h**4/9 + 28*h + 80. Let l(v) be the first derivative of k(v). Factor l(a).
-4*a**2*(a - 2)*(a + 1)/3
Find r such that -507/2*r - 27/4*r**4 + 189/4*r**3 - 13/4*r**2 + 0 + 1/4*r**5 = 0.
-2, 0, 3, 13
Let k(t) be the second derivative of -115*t**5/8 + 527*t**4/12 + 47*t**3/3 + 2*t**2 - 10*t + 32. Solve k(c) = 0.
-2/23, -2/25, 2
Let w(a) = 8*a - 176. Let p be w(25). Suppose -p*f = 2*f - 78. Solve 3/2 - 3/2*q**2 + 3*q - 3*q**f = 0.
-1, -1/2, 1
Let h(v) be the first derivative of 5 + 4/13*v + 3/13*v**2 + 2/39*v**3. Factor h(l).
2*(l + 1)*(l + 2)/13
Let g(b) be the third derivative of b**7/630 - 73*b**6/360 - 76*b**5/45 - 77*b**4/18 + 48*b**2 - 2*b + 9. Factor g(c).
c*(c - 77)*(c + 2)**2/3
Let n be 0 - 2*(-12)/(-1614). Let j = n + 4043/538. Factor -j*u + 3/2*u**2 + 6.
3*(u - 4)*(u - 1)/2
Let i(u) be the third derivative of u**7/840 - u**6/240 - 17*u**5/240 + 3*u**4/16 + 3*u**3 - 52*u**2 + 7*u. Solve i(a) = 0 for a.
-3, -2, 3, 4
Let w be (-9)/6*(-1092)/65*7. Factor 2/5*n**2 + w - 84/5*n.
2*(n - 21)**2/5
Let r(o) = -o**2 - 27*o - 46. Let b be r(-25). Determine g, given that 5*g**2 - 3*g**3 - 15*g**2 + g**3 - g + b*g + 10*g**4 - g = 0.
-1, 0, 1/5, 1
Let c be 3055/2730 - 21/(-98). Suppose 8*j**2 - c*j**3 + 0 - 20/3*j = 0. What is j?
0, 1, 5
Let p(j) = -j + 14. Let v be p(15). Let i be 0/(-2 + v - -2 - 0). Suppose 2/3*r**2 + i*r + 0 + 1/3*r**4 - 1/6*r**5 + 7/6*r**3 = 0. What is r?
-1, 0, 4
Let s be (-415)/(-11620)*28/2. Find y, given that 10*y**4 + 0*y**2 + 0 + s*y**5 + 0*y + 19/2*y**3 = 0.
-19, -1, 0
Suppose 3*s + 55 = 58, -s + 186 = 37*o. Factor 0*c**3 + 2/3*c**4 + 0*c**2 + 1/3*c**o + 0*c + 0.
c**4*(c + 2)/3
Suppose