+ 516*w**2 - 1002*w + 502. Let x(h) = k(h) + 6*s(h). Factor x(u).
-4*(u - 124)*(u - 1)**2
Let i(c) be the third derivative of 0 + 1/420*c**6 - 85*c**2 + 0*c - 2/7*c**4 - 1/105*c**5 + 0*c**3. Factor i(k).
2*k*(k - 6)*(k + 4)/7
Let a(o) = 13*o - 6*o - 4*o - o + 29. Let c be a(-12). Factor 2*l**2 + 2*l - 5*l**2 - 6*l + c*l**2.
2*l*(l - 2)
Let g be (-148)/(-18) - 2/9. Factor -167*i**3 - 3*i - g*i**2 - 9*i + 87*i**3 + 84*i**3.
4*i*(i - 3)*(i + 1)
Suppose -2*d - 13488 = -5*y, 3*y + 2*d - 13472 = -2*y. Suppose y*j = 2692*j + 8. Factor 12/11 - 50/11*b + 8/11*b**j.
2*(b - 6)*(4*b - 1)/11
Let h = -90 + 145. Factor -h*s - 244*s**2 - 235*s**2 + 484*s**2.
5*s*(s - 11)
Let b(t) be the third derivative of -11*t**7/420 - t**6/30 + t**5/40 + 3*t**2 - 23. Factor b(p).
-p**2*(p + 1)*(11*p - 3)/2
Let p be -3 + (14 - 22 - (0 - 0 - 155)). Let u(z) be the first derivative of 23 - 92/3*z**3 + p*z + 168*z**2 + 4*z**5 - 18*z**4. Factor u(k).
4*(k - 3)**2*(k + 2)*(5*k + 2)
Let z(f) be the third derivative of -f**7/385 + 10*f**6/11 - 1000*f**5/11 + f**2 - 124. Factor z(t).
-6*t**2*(t - 100)**2/11
Let x = -757820 - -1515641/2. What is b in -3/2*b**3 - 5/2*b + 9/2*b**2 - x*b**4 + 0 = 0?
-5, 0, 1
Suppose 0 = 18*x - 32*x + 6 + 22. Let t(n) be the third derivative of 5*n**x - 1/60*n**6 - 1/4*n**4 + 1/10*n**5 + 0 + 1/3*n**3 + 0*n. Factor t(l).
-2*(l - 1)**3
Let d(r) be the third derivative of -4*r**7/525 - 143*r**6/30 - 28441*r**5/25 - 3412801*r**4/30 - 3370318*r**3/15 - 3767*r**2. Let d(o) = 0. Calculate o.
-119, -1/2
Suppose -351 = -373*a + 395. Find q, given that -a*q - 2*q**2 + 0 - 1/2*q**3 = 0.
-2, 0
Let g = 31352/1095 + 184/1095. Factor g*p**3 + 192/5*p**2 + 36/5*p**4 + 0 + 3/5*p**5 + 0*p.
3*p**2*(p + 4)**3/5
Let p(k) = -5*k**2 + 7*k - 14. Let q(a) = -6*a**2 + 5*a - 11. Let l(j) = -5*p(j) + 4*q(j). Factor l(n).
(n - 13)*(n - 2)
Let g(l) be the first derivative of l**3/6 - 267*l**2/4 - 134*l - 1056. Determine f, given that g(f) = 0.
-1, 268
Let y = -3128579/315 - -9932. Let f(h) be the second derivative of 0 + 0*h**3 + 2/225*h**6 - 12*h + 0*h**4 + y*h**7 + 1/150*h**5 + 0*h**2. Solve f(k) = 0.
-1, 0
Let j(a) be the first derivative of 16/9*a**2 + 10/27*a**3 - 7/18*a**4 + 71 + 8/9*a. Find n such that j(n) = 0.
-1, -2/7, 2
Let c(x) = -x**3 + x**2 + 7*x - 7. Let f be 1*4/(-6) - 24/(-9). Let z be c(f). Find j, given that 24 + 12*j**3 - 43*j - 14*j**z - 22*j**2 - 27*j - 74 = 0.
-5, -1
Let i(k) be the first derivative of -3*k**5/4 + 11*k**4/4 - 7*k**3/2 + 3*k**2/2 + 34*k + 52. Let y(q) be the first derivative of i(q). Factor y(t).
-3*(t - 1)**2*(5*t - 1)
Suppose -3/4*u**5 + 9*u**3 + 0 + 30*u**2 + 24*u - 3/2*u**4 = 0. What is u?
-2, 0, 4
Let m(k) be the first derivative of -k**4/12 + 7*k**3/9 + 40*k**2/3 - 192*k - 2029. Factor m(t).
-(t - 8)**2*(t + 9)/3
Let m(l) be the third derivative of 0 + 0*l**4 + 1/15*l**5 - 49*l**2 + 0*l**3 + 0*l + 1/30*l**6. Determine q, given that m(q) = 0.
-1, 0
Suppose 0 = 2*s - v - 651 + 151, -2*v - 751 = -3*s. Find i, given that -7331 - 6*i**2 - 9586 + 5*i**3 - s*i**2 - 7648 + 4335*i = 0.
17
Let z = 2/65553 + 1354760/65553. Determine l so that -2*l**2 + z*l + 44/3 = 0.
-2/3, 11
Let c(p) = -27*p**2 - 13*p + 23. Let q(y) = 27*y**2 + 14*y - 24. Let j(g) = 8*c(g) + 7*q(g). Solve j(a) = 0 for a.
-8/9, 2/3
Let s(f) = -f**2 - f**3 + 12*f**2 - 21*f + 3*f - 26 - 20*f**2. Let r be s(-7). Suppose 12/5*h - 9/5 - 3/5*h**r = 0. What is h?
1, 3
Let 10*i**5 - 4780*i**4 - 21 - 1538*i**2 + 21 + 512*i - 4602*i**3 + 2238*i**4 = 0. What is i?
-1, 0, 1/5, 256
Let d = 10 + 1. Let a(r) = -r + 13. Let s be a(d). Factor 8*f**2 - 11*f**4 - 3*f**s + 16*f**3 + 31*f**4 + 9*f**3.
5*f**2*(f + 1)*(4*f + 1)
Let y(o) be the first derivative of -o**5/15 - 7*o**4/12 + 34*o**3/9 + 20*o**2/3 - 618. Factor y(l).
-l*(l - 4)*(l + 1)*(l + 10)/3
Suppose 5*y + 49 = -8*w, -2562 + 2591 = -5*w - 3*y. Factor 6/5*q - 36/5 + 2/5*q**w.
2*(q - 3)*(q + 6)/5
Let t = -530/9 - -59. Let f(l) = -7*l**2 - 38*l - 13. Let w be f(-5). Factor 0 + 0*a - t*a**w.
-a**2/9
Suppose 67 = 4*j - 25. Factor -17*g**2 - 21*g**2 + 76*g**2 - j*g**2 - 20 + 5*g**3.
5*(g - 1)*(g + 2)**2
Let d(o) be the second derivative of 19*o**7/105 + 131*o**6/75 + 29*o**5/5 + 98*o**4/15 - 8*o**3/5 - 44*o - 15. Solve d(y) = 0 for y.
-3, -2, 0, 2/19
Let q(r) be the first derivative of 16 + 2*r**2 - 1/3*r**3 + 5*r. Factor q(d).
-(d - 5)*(d + 1)
Let s(w) be the third derivative of 0 - 25*w**2 - 1/150*w**5 - 2/15*w**4 - 7/15*w**3 - w. Factor s(j).
-2*(j + 1)*(j + 7)/5
Let a(c) = -19*c**3 + 82*c**2 - 455*c + 720. Let n(d) = -49*d**3 + 206*d**2 - 1137*d + 1800. Let k(b) = -18*a(b) + 7*n(b). Determine f so that k(f) = 0.
-40, 3
Factor -c - 69*c**2 + 0*c**2 + 942*c**3 - 941*c**3 + 69.
(c - 69)*(c - 1)*(c + 1)
Let n(i) be the second derivative of i**4/2 - 1483*i**3/9 - 110*i**2 + 3*i - 707. Determine s, given that n(s) = 0.
-2/9, 165
Let z(m) = 3*m**2 + 2*m - 1. Let y(d) = -3*d - 21. Let b be y(-6). Let f(p) = -3*p**2 - 3*p. Let v(l) = b*z(l) - 4*f(l). Factor v(g).
3*(g + 1)**2
Suppose 3*k + 0 = 114. Let u = k - -6. Factor -40*p**2 - 4 + u*p**2 + 4*p - 2*p**4 - 3*p + 2 + p**5 - 2*p**3.
(p - 2)*(p - 1)**2*(p + 1)**2
Factor 2/7*b**2 + 6/7 + 8/7*b.
2*(b + 1)*(b + 3)/7
Let d = -34256 - -34259. Let n(w) be the third derivative of -1/140*w**5 - 7/2*w**d + 31*w**2 - 1/4*w**4 + 0*w + 0. Factor n(j).
-3*(j + 7)**2/7
Let l(i) be the first derivative of i**6/90 - i**5/20 - i**4/6 + 4*i**3/9 + 49*i - 27. Let a(v) be the first derivative of l(v). Factor a(p).
p*(p - 4)*(p - 1)*(p + 2)/3
Let z(q) = 3*q**4 - 28*q**3 + 132*q**2 - 268*q + 153. Let s(g) = g**4 - 2*g**3 - g**2 - 2*g. Let y(a) = -10*s(a) + 5*z(a). Factor y(m).
5*(m - 17)*(m - 3)**2*(m - 1)
Suppose -7*x + 3*x = 16. Let k be 11*(x + 6 + -1). Factor 6*f**2 + 10*f**3 - 9*f + 4 - k*f**3 + 0.
-(f - 4)*(f - 1)**2
Suppose 48*b + 5*b = -20*b. Suppose 4 = -b*c + 5*c - 4*h, -1 = 3*c + h. Solve 86/3*t**3 + 14/3*t**5 + 20*t**4 + 8/3*t + 16*t**2 + c = 0 for t.
-2, -1, -2/7, 0
Let a(d) = d**2 - 503*d + 13300. Let n be a(28). Let n - 2/7*l**4 + 0*l + 2/7*l**5 - 2/7*l**3 + 2/7*l**2 = 0. Calculate l.
-1, 0, 1
Suppose -2*q - 14*q = -336. Factor 12*z**2 + q*z**2 + 10*z - 35*z**2.
-2*z*(z - 5)
Suppose -7*v - 96 = -13*v. Suppose 3*t = v - 4. Suppose -30*u**3 + 379 + 3*u**t + u**4 + 270*u + 26 - 9*u**4 = 0. Calculate u.
-3, 3
Let x = 560683 - 560681. Let -1/7*k**x - 2 + 15/7*k = 0. Calculate k.
1, 14
Let q be ((-8)/288*-4)/(-5 + 2886/576). Factor -40/3*k - q - 4/3*k**2 + 4/3*k**3.
4*(k - 4)*(k + 1)*(k + 2)/3
Let z(d) be the second derivative of -d**5/4 + 105*d**4/4 + 670*d**3/3 - 2*d + 2589. Factor z(n).
-5*n*(n - 67)*(n + 4)
Let k(t) be the second derivative of 1/5*t**5 - 74*t + 0*t**4 + 0 - 14/3*t**3 - 12*t**2. Determine l, given that k(l) = 0.
-2, -1, 3
Solve -64*d**2 + 1248*d + 43264/3 + 2/3*d**3 = 0.
-8, 52
Let l(a) be the first derivative of a**8/1344 - a**7/168 + 7*a**6/480 - a**5/80 - 49*a**2 + 9. Let f(m) be the second derivative of l(m). Factor f(h).
h**2*(h - 3)*(h - 1)**2/4
Let j(r) be the second derivative of -r**4/150 - 1078*r**3/75 + 4042*r. Factor j(g).
-2*g*(g + 1078)/25
Determine z so that 4927*z - 10031*z + 4858*z - 68*z**2 + 0*z**3 - 180 - 2*z**3 = 0.
-30, -3, -1
Let y be (-35)/(-14)*(-3 + 5). Factor -2*a**3 - 10*a + 3*a**2 + 70 + y*a**2 - 66.
-2*(a - 2)*(a - 1)**2
Let b(x) = -38*x + 4. Let d be b(2). Let q = -36 - d. Factor q*u**2 - 2*u**5 + 10*u + 4 + 0*u**3 - 8*u**3 - 32*u**2 + 0*u**3 - 8*u**4.
-2*(u - 1)*(u + 1)**3*(u + 2)
Let a(d) be the second derivative of d**4/12 - 8*d**2 - 1360*d. Factor a(s).
(s - 4)*(s + 4)
Let b(s) be the second derivative of -2*s**4/3 + 22*s**3/3 - 21*s**2 - 4*s. Let f(p) = -42*p**2 + 220*p - 211. Let v(q) = 11*b(q) - 2*f(q). Factor v(x).
-4*(x - 10)*(x - 1)
Let v(r) be the second derivative of 5*r**4/6 - 215*r**3/2 - 325*r**2/2 + 2*r - 598. Factor v(d).
5*(d - 65)*(2*d + 1)
Suppose 2*y - 1 = -3*b, 8*y - 4*b + 8 = 4*y. Let w be ((-9)/189)/(y/3). Suppose 1/7*u + 0 - 1/7*u**4 - w*u**3 + 1/7*u**2 = 0. What is u?
-1, 0, 1
Let w(f) be the second derivative of f**4/24 + 26*f**3/3 + 103*f**2/4 - f - 573. Factor w(z).
(z + 1)*(z + 103)/2
Let v(s) be the first derivative of 5*s**3/3 + 85*s**2/2 - 1950*s - 2752. Solve v(a) = 0.
-30, 13
Factor -512*v - 72/11*v**3 + 2/11*v**4 + 960/11*v