*x**3 - 1/2*x**2 = 0. Calculate x.
-1, 2
Let g(z) be the first derivative of z**5/5 + 87*z**4/2 + 7393*z**3/3 - 7656*z**2 + 7744*z + 7803. Suppose g(u) = 0. Calculate u.
-88, 1
Suppose 15*g = 3*c - 10 - 2, -5*g = -5*c + 60. Let -2/5*w**g + 0*w - 1/5*w**4 + 0 - 3/5*w**3 = 0. Calculate w.
-2, -1, 0
Factor -6761*t + 3402*t - 230*t**2 + 920 + 3379*t - 2*t**3 - 3*t**3.
-5*(t - 2)*(t + 2)*(t + 46)
Let f = -24 + 49/2. Let t = 72786 - 291143/4. Find j such that -1/4*j**4 + f - t*j**2 + 3/4*j - 3/4*j**3 = 0.
-2, -1, 1
Let j = -47290/3 - -15277. Let r = -486 - j. Factor -r*t**3 + 1/3 - 1/3*t**2 + 1/3*t.
-(t - 1)*(t + 1)**2/3
Let h = 327 - 352. Let n be 51/(-51) + h/(-23). Factor -2/23*k**2 + 2/23*k + 0 + n*k**4 - 2/23*k**3.
2*k*(k - 1)**2*(k + 1)/23
Let z(h) be the first derivative of h**6/200 - h**5/25 - h**4/8 + h**2/2 - 141*h - 262. Let c(v) be the second derivative of z(v). Let c(t) = 0. Calculate t.
-1, 0, 5
Suppose -q + 77*q = 608. Let x(d) be the second derivative of 1/10*d**5 + 2/3*d**4 + 0 + 2*d**2 + 5/3*d**3 - q*d. Factor x(z).
2*(z + 1)**2*(z + 2)
Let n(p) = 5*p**2 + 158*p + 119. Let l be n(-31). Let a(u) be the second derivative of l*u + 0 + 1/60*u**4 + 18/5*u**2 + 2/5*u**3. Solve a(k) = 0.
-6
Let y(r) = r**3 - 31*r**2 + 58*r. Let f be y(29). Suppose f = -5*a - 30*a + 70. What is n in -2/7*n**4 - 6/7*n**a + 2/7*n + 6/7*n**3 + 0 = 0?
0, 1
Let q be -5 + -3 + 8 + 160 + 0. Let b(l) be the first derivative of 32 + q*l**4 + 40*l**2 - 100*l**4 - 80*l**4 - 7*l**5 + 20*l + 5*l**3. What is x in b(x) = 0?
-2, -1, -2/7, 1
Determine b, given that 0 - 11/5*b + 2*b**2 + 1/5*b**3 = 0.
-11, 0, 1
Let o(a) = 5*a**5 - 9*a**4 - 21*a**3 + 17*a**2 + 46*a + 12. Let p(i) = i**5 - 2*i**4 + i**3 + i. Let v(d) = o(d) - 2*p(d). Find b such that v(b) = 0.
-2, -1, -1/3, 2, 3
Let f(g) = g**3 - g**2 - 15*g - 54. Let h be f(9). Let j = h + -2291/5. Factor 8/5*y**3 + j*y**4 - 8/5*y + 12/5 - 16/5*y**2.
4*(y - 1)**2*(y + 1)*(y + 3)/5
Let d(v) be the third derivative of -1/60*v**5 + 1/120*v**6 + 0 - 1/24*v**4 + 1/6*v**3 - 12*v**2 + 2*v. Solve d(p) = 0 for p.
-1, 1
Let w(t) be the third derivative of t**6/480 - t**5/30 - 5*t**4/32 + 9*t**3/4 - 1892*t**2 - 3. Factor w(b).
(b - 9)*(b - 2)*(b + 3)/4
Let w(h) be the first derivative of -2*h**6/15 + 4*h**5/5 + h**4/3 - 8*h**3/3 + 46*h + 25. Let j(t) be the first derivative of w(t). Factor j(f).
-4*f*(f - 4)*(f - 1)*(f + 1)
Let q(s) = 4*s**3 - 48*s**2 + 77*s + 392. Let r(j) = j. Let p(a) = q(a) + 3*r(a). Let i(o) = o. Let c = 272 - 276. Let d(l) = c*i(l) - p(l). Factor d(k).
-4*(k - 7)**2*(k + 2)
Find n, given that -7198/11*n + 2/11*n**5 - 6962/11 + 6724/11*n**2 + 238/11*n**4 + 7196/11*n**3 = 0.
-59, -1, 1
Suppose 2*b**4 - 2*b**4 + 155*b**3 + 165*b + 5*b**4 - 90*b**2 + 37*b**2 - 272*b**2 = 0. Calculate b.
-33, 0, 1
Suppose 0 + 12 = 2*q. Let d(w) = -4*w**4 + 2*w**3 + 10*w**2 - 8*w - 6. Let y(i) = 3*i**4 - 4*i**3 - 10*i**2 + 9*i + 7. Let n(u) = q*y(u) + 5*d(u). Factor n(t).
-2*(t - 1)*(t + 1)**2*(t + 6)
Let -2*c**4 + 388 - 655*c + 70*c**3 + 1232 - 605*c + 3*c**4 + 65*c**2 + 4*c**4 = 0. What is c?
-9, 2
Let a be ((-56)/18)/(1/(-6)). Let b be ((-4641)/315 + 15)/((-7)/70*(-24)/36). Factor 224/9*y**3 - 64/9*y**b - 292/9*y**2 - 4 + a*y.
-4*(y - 1)**2*(4*y - 3)**2/9
Factor 6906*k**2 + 6479183865 - 2026967424 - 22674465*k - k**3 + 6776853*k + 7746551167.
-(k - 2302)**3
Factor 4/7*u**2 - 1488/7*u + 2960/7.
4*(u - 370)*(u - 2)/7
Let c(i) be the third derivative of -i**5/12 + 35*i**4/4 + 460*i**3/3 + 5439*i**2. Suppose c(y) = 0. Calculate y.
-4, 46
Let w = 708 + -699. Factor 39*h**3 - 44*h**3 - w*h + 49*h - 10*h**2.
-5*h*(h - 2)*(h + 4)
Let j(t) be the first derivative of t**4/4 + 4*t**3 - 13*t**2/2 + 2*t - 16. Let m be j(-13). Determine k, given that 0 - 1/2*k + 3/2*k**m - k**3 = 0.
0, 1/2, 1
Let h = 10912/1281 - -348/427. Factor 4/3*k**2 + 32/3*k + h.
4*(k + 1)*(k + 7)/3
Let w(k) = k + 5. Let m be w(0). Let c be ((-20)/12)/m*-33. Let -c*z**2 - 218*z**3 + 216*z**3 + 3*z**2 = 0. What is z?
-4, 0
Suppose -38*s = -34*s - 8. Suppose -3*g = s*g - 25, -3*i - 3*g + 21 = 0. Factor -16/5 + 12/5*z**i + 2/5*z**4 + 8/5*z - 2*z**3.
2*(z - 2)**3*(z + 1)/5
Factor -88/5*i**2 - 107/2*i + 1/2*i**3 + 57/5.
(i - 38)*(i + 3)*(5*i - 1)/10
Let r be (-5)/(((-220)/(-64))/(-11)). Determine x, given that 15*x + 4*x**3 - 69 - r*x**2 + 69 + x = 0.
0, 2
Let p = 44 + -37. Let x(h) = -3*h**5 - 7*h**4 + 14*h**3 - 4*h**2. Let v(c) = 6*c**5 + 14*c**4 - 29*c**3 + 9*c**2. Let q(s) = p*x(s) + 4*v(s). Factor q(y).
y**2*(y - 1)*(y + 4)*(3*y - 2)
Let s = -5/12577 + -26134981/62885. Let i = s - -416. Find v, given that -v + 1/5*v**4 + 1/5*v**3 - i - 3/5*v**2 = 0.
-1, 2
Let l be 11/(-33)*7 + 185/15. Let f(s) be the third derivative of 2/3*s**4 + 1/60*s**6 + 0*s + 0 - 1/6*s**5 - 4/3*s**3 + l*s**2. Factor f(q).
2*(q - 2)**2*(q - 1)
Let b(w) be the third derivative of 1/35*w**7 + 1/60*w**6 - 39*w**2 - 1/336*w**8 + w**3 - 1/24*w**4 + 0*w - 2 - 1/5*w**5. Factor b(h).
-(h - 6)*(h - 1)**2*(h + 1)**2
Let a(w) = -519*w**2 + 1673*w + 10375. Let d(b) = -296*b**2 + 836*b + 5188. Let y(z) = -4*a(z) + 7*d(z). Factor y(r).
4*(r - 216)*(r + 6)
Suppose -6 = -2*r + 2*c, -3*r + 8 = 5*c - 9. Factor 10*u**2 + r + 3*u + u**2 - 12*u**2.
-(u - 4)*(u + 1)
Let b(c) = c**3 - 9*c**2 - 11*c + 9. Let k be b(10). Let i(q) = -q + 1. Let f(r) = 2*r**3 - 20*r**2 + 20*r + 30. Let y(n) = k*f(n) - 6*i(n). Factor y(p).
-2*(p - 9)*(p - 2)*(p + 1)
Let i(j) be the third derivative of 0*j**4 - 1/240*j**5 + 0*j + 18*j**2 + 0*j**3 + 1/480*j**6 - 1. Factor i(y).
y**2*(y - 1)/4
Let h(x) be the second derivative of -x**6/6 - 3*x**5/2 + 80*x**3/3 + 132*x - 1. Factor h(t).
-5*t*(t - 2)*(t + 4)**2
Let o(z) = 7*z**2 + z - 71. Suppose 105 = -24*d - 15. Let a(k) = 3*k**2 + k - 34. Let p(r) = d*a(r) + 2*o(r). Factor p(b).
-(b - 4)*(b + 7)
Let b(p) be the first derivative of 1/16*p**4 + p**2 + 0*p - 17 + 1/2*p**3. Solve b(q) = 0 for q.
-4, -2, 0
Suppose 1475626*f**3 - 19 - 205*f**2 - 196 - 425*f - 1475621*f**3 = 0. Calculate f.
-1, 43
Let r = 6400 + -6395. Let x(c) be the second derivative of 35/48*c**4 + 0 - 5/8*c**2 + 3*c - 5/12*c**3 - 1/4*c**r. Factor x(q).
-5*(q - 1)**2*(4*q + 1)/4
Let b(a) = 2*a**4 + 2*a**3 + a**2 + a + 2. Let n(p) = -10*p**4 - 44*p**3 - 164*p**2 + 32*p + 154. Let w(m) = -8*b(m) - 2*n(m). Factor w(j).
4*(j - 1)*(j + 1)*(j + 9)**2
Let w be (-4680)/182*(-1)/(50/(-8))*(-65)/26. Suppose -w*u**2 - 2/7*u**3 - 864/7*u - 3456/7 = 0. Calculate u.
-12
Let p(y) = y**2 - 4*y + 8. Let c be p(3). Factor -84*w**4 - 3*w**2 - 8*w**3 + w**5 - w**3 + 87*w**4 + 6*w + 2*w**c.
3*w*(w - 1)**2*(w + 1)*(w + 2)
Let q(l) be the first derivative of -95/18*l**3 - 1/6*l**5 - 15/4*l**2 - 55/24*l**4 + 0*l - 74. Factor q(d).
-5*d*(d + 1)**2*(d + 9)/6
Let t(w) be the first derivative of w**5/5 + 5*w**4/4 + 2*w**3/3 - 10*w**2 - 24*w - 29. Factor t(a).
(a - 2)*(a + 2)**2*(a + 3)
Let d = 455277/82778 + 1/41389. Find j, given that 0 - 2*j + d*j**4 - j**5 - 21/2*j**3 + 8*j**2 = 0.
0, 1/2, 1, 2
Let x = -1611687 + 1611690. Solve -4 - 1/4*h**4 + 5/2*h**x + 10*h - 33/4*h**2 = 0.
1, 4
Let v = 68338 - 271203/4. Let g = v - 21839/44. Determine w so that 2/11*w**2 + g - 60/11*w = 0.
15
Let z(k) = k**2 + 4*k + 5. Let r be z(0). Suppose -2*g + 6 = r*w, 5*w = -0*w + g + 12. Factor -21*l**2 + 10*l**2 + 2 - w*l - 13*l**2.
-2*(3*l + 1)*(4*l - 1)
Let n be 885/118*(-14)/(-595) + (-924)/(-833). Factor 0*u + n*u**4 + 0 - u**3 - 2/7*u**2.
u**2*(u - 1)*(9*u + 2)/7
Let a be 46/8*-1 - 5/20. Let m(w) = 4*w**4 - 18*w**3 - 22*w**2 + 24*w + 12. Let z(d) = -d**4 + d**3 + d**2 - 2*d + 1. Let v(k) = a*z(k) - m(k). Factor v(t).
2*(t - 1)*(t + 1)*(t + 3)**2
Let -119*w**2 - w**4 + 115122 - 16*w**2 - 133*w - 115166 - 47*w**3 = 0. Calculate w.
-44, -1
Suppose -4*p + 3*u = -255, 5*u = -12*p + 10*p + 147. Factor -36*y**2 + 19*y - 22*y**3 + 66*y**3 + 8*y - 41*y**3 + p.
3*(y - 11)*(y - 2)*(y + 1)
Suppose 96*x = 98*x + 4*q - 28, 2*x - 33 = -5*q. Factor 3*i**x + 6*i**2 + 0*i - 3/2*i**5 + 21/2*i**3 + 0.
-3*i**2*(i - 4)*(i + 1)**2/2
Let h be (-3)/6 - 171/(-6). Suppose 3*i + 219 = 243. What is c in 239*c**2 + h*c**3 - 32 - 98*c**5 - i*c + 78*c**3 - 392*c**4 + 185*c**2 = 0?
-4, -1, -2/7, 2/7, 1
Let k(c) be the first derivative of c**4/10 + 14*c**3/5 + 84*c**2/5 + 128*c/5 + 8473. Let k(u) = 0. Calc