 8)
Let x = -4141/30 - -138. Let g = 13/30 + x. Let g*d**2 - 2/5*d - 4/5 = 0. What is d?
-1, 2
Suppose -5*d = 125*y - 116*y - 10, -2*y - 5*d = -10. Let u - 1/4*u**3 + u**2 - 1/4*u**4 + y = 0. Calculate u.
-2, -1, 0, 2
Let x(y) = -125*y**2 + y. Let b be x(-1). Let r = b - -128. Factor 0 - 4/3*f**4 + 14/3*f**3 + 0*f - r*f**2.
-2*f**2*(f - 3)*(2*f - 1)/3
Let v(f) be the second derivative of f**5/15 + 11*f**4/27 - 4*f**3/9 - 16*f**2/9 + 10*f + 3. Factor v(w).
4*(w - 1)*(w + 4)*(3*w + 2)/9
Find o such that -240 + 9*o**3 - 200*o - 29*o**3 - 86*o**2 + 96*o**2 + 135*o**2 = 0.
-3/4, 4
Let j(x) be the second derivative of -x**5/160 + 5*x**4/96 - x**3/16 - 9*x**2/16 + 56*x. Factor j(u).
-(u - 3)**2*(u + 1)/8
Determine w so that -2 - 4*w - 949*w**3 + 8*w**2 + 953*w**3 - 6 = 0.
-2, -1, 1
Factor -1/3*s**2 - 5/2 + 31/6*s.
-(s - 15)*(2*s - 1)/6
Suppose 3 = -2*g + 11. Suppose -s = -3*s + 6. Factor 8*c**2 - 16*c**s - 4*c**5 - 2*c**4 + 2*c**5 + 12*c**g.
-2*c**2*(c - 2)**2*(c - 1)
Factor 25*u - 35 + 2*u**2 - 8 - 87 - 9*u.
2*(u - 5)*(u + 13)
Suppose -4*w + 3*w + 4 = 0. Solve -c**2 + 2*c**4 - 3*c**2 - 16*c**w - 18*c**3 = 0.
-1, -2/7, 0
Let m be 2 + -5 + (-441)/(-140). Let r(u) be the second derivative of 0 + 0*u**3 + 0*u**4 + 1/10*u**6 + 0*u**2 - 4*u + m*u**5. Determine s so that r(s) = 0.
-1, 0
Let v = 1774/1425 + 42/475. What is o in v*o**4 + 8/3*o**3 - 4/3 + 0*o**2 - 8/3*o = 0?
-1, 1
Let q(p) be the third derivative of 1/336*p**8 + 2/15*p**5 + 0*p + 0 + 1/3*p**3 - 7/24*p**4 - 1/105*p**7 - 1/60*p**6 - 15*p**2. Factor q(i).
(i - 1)**4*(i + 2)
Let y = 68 + -65. Suppose -4*c + 4*g = 0, 3 = 4*c + 4*g - 13. Let -2*d + 4*d + 5 + 4*d - y*d**c + 4 = 0. What is d?
-1, 3
Let j(s) be the second derivative of -7/9*s**3 + 1/2*s**4 + 2/3*s**2 + 1/45*s**6 + 11*s + 0 - 1/6*s**5. Determine g so that j(g) = 0.
1, 2
Let t(k) = 4*k**2 - 4*k. Let c(w) = w**2 - w. Let h(r) = 3*c(r) - t(r). Let y(j) = -5*j**2 - 10*j + 36. Let g(a) = 2*h(a) - y(a). Factor g(o).
3*(o - 2)*(o + 6)
Let x(d) = 0*d - 23 - d + 0. Let w be x(-26). What is y in -y**5 - 1/4*y + 5/4*y**w + 3/4*y**4 - 3/4*y**2 + 0 = 0?
-1, -1/4, 0, 1
Let u(y) be the first derivative of 4*y**3/3 - 8*y**2 - 95. Factor u(t).
4*t*(t - 4)
Let i(c) = -9*c**5 - 26*c**4 - 64*c**3 - 50*c**2 - 19*c. Let g(p) = -35*p**5 - 105*p**4 - 255*p**3 - 200*p**2 - 75*p. Let s(y) = 4*g(y) - 15*i(y). Factor s(r).
-5*r*(r + 1)**3*(r + 3)
Let v(m) be the third derivative of 0*m**5 + 12*m**2 + 0*m + 0*m**3 + 1/24*m**4 - 1/120*m**6 + 0. Suppose v(z) = 0. What is z?
-1, 0, 1
Let q(d) be the first derivative of -2*d**3/27 + 4*d**2/3 - 64*d/9 - 489. Let q(f) = 0. What is f?
4, 8
Let s = -174/5 - -35. Let z = -12976 - -12976. Suppose z - 1/5*r**4 - 1/5*r + 1/5*r**3 + s*r**2 = 0. Calculate r.
-1, 0, 1
Let a = 9077/9 + -344407/342. Let c = a + -20/57. Factor 7/6*w**4 + 0 + 1/3*w - c*w**2 - 1/3*w**3.
w*(w - 1)*(w + 1)*(7*w - 2)/6
Let b = -246 - -249. Let q(g) be the first derivative of -b + 0*g + 2/3*g**3 + g**2 - 1/2*g**4 - 2/5*g**5. Factor q(j).
-2*j*(j - 1)*(j + 1)**2
Let n(x) be the third derivative of -x**5/120 - 7*x**4/24 - 156*x**2. Factor n(j).
-j*(j + 14)/2
Let r = -26 + 34. Let g = 15 - r. Find o, given that 5 - g*o - o**2 - 3*o + 2*o**2 + 4*o**2 = 0.
1
Suppose 2*q + 8 = 4*g, 7*g = q + 3*g + 8. Suppose -5*p + 0 = 3*i - 19, q = 5*i - 2*p - 11. Suppose 6/7*y**i - 8/7*y + 8/7 - 10/7*y**2 = 0. What is y?
-1, 2/3, 2
Suppose -5*f + 0*o - 75 = o, -4*f = -o + 60. Let l = 46/3 + f. Factor l + 5/6*q + 1/2*q**2.
(q + 1)*(3*q + 2)/6
Let i(o) = -21*o**2 - 19*o - 9. Let d(x) = -3*x**2 + 2 + 4*x + 2*x**2 + 5*x**2. Suppose 0 = -11*p + 6*p + 55. Let n(t) = p*d(t) + 2*i(t). Factor n(j).
2*(j + 1)*(j + 2)
Let f(y) be the first derivative of y**5/42 - y**4/84 - 13*y**2/2 + 19. Let q(z) be the second derivative of f(z). Determine t so that q(t) = 0.
0, 1/5
Factor 3/2*q**3 + 385/2*q - 121/2 - 67/2*q**2.
(q - 11)**2*(3*q - 1)/2
Let s(h) be the second derivative of -h**6/120 - h**5/60 + 5*h**4/24 - h**3/2 - 41*h**2/2 - 37*h. Let a(l) be the first derivative of s(l). Factor a(z).
-(z - 1)**2*(z + 3)
Let n(s) be the first derivative of -9/22*s**4 - 4/11*s**3 - 1/11*s**2 + 5 - 8/55*s**5 + 0*s. Determine b, given that n(b) = 0.
-1, -1/4, 0
Let y be ((-28)/(-8))/((-5)/(-10)). Let 8*t - 30 - 3*t**2 - 39*t - 18 + y*t = 0. What is t?
-4
Let c(q) be the third derivative of 0*q + 0 + 1/6*q**3 - 1/480*q**6 - 2*q**2 + 1/24*q**4 - 1/240*q**5. Factor c(o).
-(o - 2)*(o + 1)*(o + 2)/4
Let p(b) be the first derivative of 12*b**2 + 13/2*b**3 - 33/8*b**4 + 6*b - 5/4*b**6 - 51/10*b**5 - 2. Suppose p(l) = 0. What is l?
-2, -1, -2/5, 1
Let g = 1151/180 + -7/36. Let r = g + -57/10. Determine k, given that -3*k**4 + 7/4*k**5 + 7/2*k**2 - k**3 - r - 3/4*k = 0.
-1, -2/7, 1
Let y = 771 + -769. Let f(g) be the first derivative of 0*g + 5/2*g**4 + 4 + 0*g**y - 4/5*g**5 + 4/3*g**3 - 5/3*g**6. Determine h so that f(h) = 0.
-1, -2/5, 0, 1
Suppose 5*i + 30 = 3*i. Let c be (12/i)/((-12)/30). Factor 0 + 1/4*g**3 + 0*g - 1/4*g**4 + 0*g**c.
-g**3*(g - 1)/4
Let r = 9 + 4. Factor r*m**2 + 35*m**3 + 25*m**4 + m**5 + 9*m**2 + 4*m**5 - 7*m**2.
5*m**2*(m + 1)**2*(m + 3)
Let j(u) be the third derivative of -u**5/80 - 47*u**4/32 - 23*u**3/4 + 46*u**2 - 1. Factor j(h).
-3*(h + 1)*(h + 46)/4
Let k be 24/28 + (-2092)/(-336) + -7. Let q(d) be the second derivative of 1/6*d**3 - 1/20*d**5 - 1/2*d**2 + 0 + k*d**4 - 3*d. Factor q(y).
-(y - 1)**2*(y + 1)
Let u(j) = -9*j**4 - 8*j**3 + 16*j**2 - 4*j. Let x(g) = -g**4 - 2*g**3 - g**2 - g. Let v(h) = u(h) - 4*x(h). Factor v(n).
-5*n**2*(n - 2)*(n + 2)
Let x(v) = 176*v**5 - 962*v**4 + 1720*v**3 - 752*v**2 - 375*v - 32. Let t(g) = g**5 - g. Let p(a) = -14*t(a) + 2*x(a). Factor p(l).
2*(l - 2)**3*(13*l + 2)**2
Let y(l) be the third derivative of l**6/70 - l**5/35 - l**4/56 + l**3/14 + 5*l**2 + l. Let y(r) = 0. What is r?
-1/2, 1/2, 1
Let x = 1/31 - -28/93. Suppose -4/3*q + 1 + x*q**2 = 0. Calculate q.
1, 3
Let g(s) be the second derivative of s**4/6 - s**3 + s**2/2 + 3*s. Let o be g(6). Factor -o*d**5 + 2*d**4 - 2*d**2 + 35*d**5 + 0*d**3 + 2*d**3.
-2*d**2*(d - 1)**2*(d + 1)
Let p(v) = 14*v**5 - 30*v**4 + 10*v**3 - 6*v**2 - 8*v. Let i(r) = 15*r**5 - 30*r**4 + 11*r**3 - 5*r**2 - 6*r. Let t(l) = -4*i(l) + 3*p(l). Factor t(a).
-2*a**2*(a - 1)*(3*a - 1)**2
Let o(m) be the first derivative of -10*m**3/3 + m**2 + 12*m + 291. Factor o(k).
-2*(k + 1)*(5*k - 6)
Let f(p) be the second derivative of -1/4*p**2 + p + 0 + 1/24*p**4 + 0*p**3. Factor f(c).
(c - 1)*(c + 1)/2
Suppose 0 = -4*a + 3*k + 21, a - 21 = -4*a + 2*k. Factor -3 - 3*l + 3*l**2 + 4*l**a + 8*l**3 - 9*l**3.
3*(l - 1)*(l + 1)**2
Let x(b) be the second derivative of -b**5/50 + 2*b**4/15 - b**3/5 - 41*b - 2. Suppose x(z) = 0. What is z?
0, 1, 3
Let l(d) be the second derivative of -2*d**7/63 + 8*d**6/45 - d**5/15 - 2*d**4/3 + 55*d. Find u such that l(u) = 0.
-1, 0, 2, 3
Let d be (2/(-4))/(6/(-656))*-3. Let x = d - -496/3. Factor 0*r**2 - x*r**3 + 0 + 0*r.
-4*r**3/3
Factor 40/9*s**3 - 2/9*s**4 - 440/9*s - 52/3*s**2 - 242/9.
-2*(s - 11)**2*(s + 1)**2/9
Let c be -1 + 62/45 + 146/657. Factor -c*k**3 + 3/5*k + 3/5*k**2 - 3/5.
-3*(k - 1)**2*(k + 1)/5
Let i be 1 + -3 - 6/(-3). Let k(g) be the second derivative of -g**3 + 7*g + 0*g**2 + i + 1/4*g**4. Let k(h) = 0. What is h?
0, 2
Suppose 315*j + 68 + 247*j + j**2 - 493*j = 0. Calculate j.
-68, -1
Let n(s) = s**3 - 5*s**2 - 8*s + 4. Let z be n(6). Let q = z + 10. Factor 51*t**2 - 8 + 88*t - 165*t**q - 169*t**2 + 41*t**2.
-2*(11*t - 2)**2
Let v(f) = f**2 - 17*f - 35. Let y be v(19). Suppose -5*o + i = -6, -8 = -4*i + 8. Solve -2*z**o - 2 - 1 - 1 + 9*z - y*z = 0 for z.
1, 2
Solve -22*m**2 + 22*m**2 - 15*m**3 - 6 + 6*m**4 + 15*m - m**4 + m**4 = 0.
-1, 1/2, 1, 2
Let p(z) = 20*z**2 + 1100*z - 8160. Let k(x) = x**2 + 50*x - 371. Let d(g) = 45*k(g) - 2*p(g). Determine y so that d(y) = 0.
-15, 5
Let c = 499 - 1496/3. Let i(x) be the first derivative of 0*x + 2/9*x**3 + c*x**2 + 1. Factor i(d).
2*d*(d + 1)/3
Let y(d) be the first derivative of -35 - 7*d + 1/3*d**3 + 3*d**2. Factor y(s).
(s - 1)*(s + 7)
Let a(o) be the third derivative of o**5/60 - 5*o**4/8 - 17*o**3/3 - 71*o**2. Factor a(w).
(w - 17)*(w + 2)
Let f(d) be the first derivative of -d**6/45 + 2*d**5/75 + d**4/5 - 52. Factor f(c).
-2*c**3*(