or b(w).
4*(w - 7)*(w + 2)
Let q = 26/9 - 23/9. Let i(b) be the second derivative of 0*b**3 + 1/18*b**4 + 0 + 7*b - q*b**2. Factor i(c).
2*(c - 1)*(c + 1)/3
Suppose 0 = 6*a - 36 - 48. Let a*k + 2*k**3 - 11*k - 5*k**3 = 0. Calculate k.
-1, 0, 1
Let a(b) be the second derivative of -b**8/1680 + b**7/630 + b**6/180 - b**5/30 - 23*b**4/12 + 15*b. Let g(r) be the third derivative of a(r). Factor g(i).
-4*(i - 1)**2*(i + 1)
Let x(v) be the first derivative of -10*v**2 - 3 + 35/4*v**4 + 20*v**3 + 0*v. Factor x(z).
5*z*(z + 2)*(7*z - 2)
Let a(r) = 4*r**3 + 3*r**2. Let j(t) be the third derivative of t**6/20 + t**5/15 - 12*t**2. Let q(d) = -8*a(d) + 5*j(d). Factor q(u).
-2*u**2*(u + 2)
Let o(n) = 120*n**3 + 35*n**2 - 595*n + 510. Let z(b) = -7*b**3 - 2*b**2 + 35*b - 30. Let j(q) = -2*o(q) - 35*z(q). Let j(a) = 0. Calculate a.
-3, 1, 2
Let i = -40 - -54. Factor i*d**2 - 13*d**3 + d**4 - 6*d - d**3 + d**4 + 4*d**3.
2*d*(d - 3)*(d - 1)**2
Let a(y) = y**3 - 4*y**2 - 3*y + 2. Let o be a(5). Suppose o = s - 3*k, -3*k - 21 = 17*s - 21*s. Factor -2/3*q + 2/3*q**s - 2/3*q**2 + 2/3.
2*(q - 1)**2*(q + 1)/3
Let 0 - 40/3*s**2 - 5/6*s**3 + 0*s = 0. Calculate s.
-16, 0
Let w(u) be the second derivative of -3*u**6/40 + u**5/3 + 23*u**4/24 - u**3 + 7*u**2 + 2*u. Let t(h) be the first derivative of w(h). Let t(k) = 0. What is k?
-1, 2/9, 3
Let s(z) = 35*z**2 - 215*z - 155. Suppose -3*d - 2*d - 4 = 2*h, 0 = -5*h - 3*d - 10. Let c(p) = 17*p**2 - 108*p - 78. Let i(r) = h*s(r) + 5*c(r). Factor i(w).
5*(w - 8)*(3*w + 2)
Let s(c) be the first derivative of -2*c**3/21 + 39*c**2/7 - 148*c/7 - 39. Factor s(k).
-2*(k - 37)*(k - 2)/7
Let i(v) be the first derivative of -14 + 1/12*v**2 - 1/3*v + 1/18*v**3. Solve i(q) = 0.
-2, 1
Let l(b) be the third derivative of b**6/480 + b**5/60 - 7*b**4/24 + 4*b**3/3 - b**2 - 17. Find u such that l(u) = 0.
-8, 2
Let h(u) be the third derivative of -u**8/448 + u**7/56 - 3*u**6/160 - 9*u**5/80 + 634*u**2. Factor h(l).
-3*l**2*(l - 3)**2*(l + 1)/4
Let x(n) = -n**2 + 4*n + 4. Suppose -4*u = -5*f + 2, u - 5*f = -3 - 5. Let r(y) = -y**u - 1 + 1 + 7*y + 7. Let a(p) = 4*r(p) - 7*x(p). Factor a(w).
3*w**2
Let h(o) be the first derivative of -18*o**5/25 - 13*o**4/2 + 278*o**3/15 - 47*o**2/5 - 36*o/5 + 63. Determine k, given that h(k) = 0.
-9, -2/9, 1
Let u(b) = 236*b**4 + 3340*b**3 - 365*b**2 - 456*b + 88. Let m(y) = -237*y**4 - 3339*y**3 + 366*y**2 + 456*y - 87. Let j(q) = -4*m(q) - 3*u(q). Solve j(l) = 0.
-14, -2/5, 1/4
Factor -6*l**2 + l**3 + 6 - 2 + 21*l**4 + l**3 - 2*l - 19*l**4.
2*(l - 1)**2*(l + 1)*(l + 2)
Determine i, given that 0*i**3 - 3/4*i**4 + 9/4*i**2 + 0 - 3/2*i = 0.
-2, 0, 1
Let s be -1*0/(-4 - -3). Suppose -y + 0*y + 3 = s. Solve -r**4 - 5*r - 3*r**3 - 2*r**4 + y*r**2 + 4*r + 4*r = 0 for r.
-1, 0, 1
Let s(y) be the third derivative of y**8/1008 - y**7/630 - y**6/360 + y**5/180 + 2*y**2 + 60. Let s(z) = 0. Calculate z.
-1, 0, 1
Let o(p) = -16*p**2 + 17*p + 16. Let v be o(5). Let d = v + 301. Suppose -12/7*u**3 + 0 + 2/7*u**d + 10/7*u**4 + 0*u + 24/7*u**5 = 0. What is u?
-1, 0, 1/4, 1/3
Let q = 347 - 340. Let u(o) be the second derivative of -1/210*o**q - o + 1/50*o**5 + 0 - 1/30*o**3 + 0*o**6 + 0*o**4 + 0*o**2. Suppose u(t) = 0. Calculate t.
-1, 0, 1
Let p(v) be the first derivative of -1/4*v**2 - 38 + 0*v**3 + 1/4*v - 1/20*v**5 + 1/8*v**4. Find f, given that p(f) = 0.
-1, 1
Let a = -43 - -56. Find s such that -6*s - 20 + a*s - 27*s - 5*s**2 = 0.
-2
Let g(i) be the third derivative of -i**6/180 + 13*i**5/180 - i**4/3 + i**3/2 + 187*i**2. Factor g(q).
-(q - 3)**2*(2*q - 1)/3
Let u(p) = -6*p**2 - 335*p - 270. Let h be u(-55). Suppose -72/5*d**4 + 162/5*d**h + 72/5*d**2 - 8/5*d + 0 - 154/5*d**3 = 0. What is d?
-1, 0, 2/9, 1
Let p(u) = -u**3 - u**2 + u + 1. Suppose 0 = -16*a + 17*a - 1. Let v(n) = 4*n**3 - 32*n**2 + 71*n + 107. Let o(f) = a*p(f) + v(f). What is c in o(c) = 0?
-1, 6
Let f be (-1)/4 + (-39)/(-12) + -1. Let k be 6 + -3 + f/(-4)*0. Suppose -4/9*r**2 + 2/9*r + 0 + 2/9*r**k = 0. What is r?
0, 1
Let s(f) be the second derivative of f**5/30 + 71*f**4/54 + 136*f**3/9 - 16*f**2 - f + 10. Solve s(b) = 0.
-12, 1/3
Let s(y) be the third derivative of -y**8/80640 + y**7/5040 - y**6/960 + y**5/12 - 6*y**2. Let k(d) be the third derivative of s(d). Factor k(u).
-(u - 3)*(u - 1)/4
Let z(o) = 3*o**3 - 2*o**2 + 17*o - 10. Let h(g) = -20*g**3 + 13*g**2 - 104*g + 59. Let k(f) = 6*h(f) + 39*z(f). Suppose k(n) = 0. What is n?
-4, 1, 3
Determine b, given that -3/2*b**2 + 4*b + 3/2 = 0.
-1/3, 3
Suppose 4*b + 36 = 5*c, -4*b - 32 = -4*c - 0*b. Let x(y) be the second derivative of -1/14*y**2 + 1/28*y**c - 8*y + 1/21*y**3 + 0. Factor x(m).
(m + 1)*(3*m - 1)/7
Let f(r) be the first derivative of 2*r**6/3 + 16*r**5/5 - 18*r**4 + 80*r**3/3 - 14*r**2 + 426. Factor f(l).
4*l*(l - 1)**3*(l + 7)
Suppose -16*a + 6 = -12*a + 2*p, 10*p + 42 = -2*a. Factor 0*g**2 + 1/7*g**5 + 0 + 0*g + 2/7*g**3 - 3/7*g**a.
g**3*(g - 2)*(g - 1)/7
Suppose 0 = -5*l - 3*d + 46, -44 = -5*l - 0*d - 2*d. Factor -l*a**2 - 228*a + 228*a - 4*a**3.
-4*a**2*(a + 2)
Let v(d) = 2*d**2 - 5*d + d - 6 - d + d**3. Let g be v(-3). Suppose g*c + 4*c + 4*c**3 - c + c - 8*c**2 = 0. Calculate c.
0, 1
Let x = -10127/48 - -211. Let j(h) be the third derivative of 1/120*h**5 + 0*h - x*h**4 + 0 + 2*h**2 - 1/6*h**3. Factor j(p).
(p - 2)*(p + 1)/2
Let b(w) be the first derivative of 2/5*w + 2/15*w**3 + 2/5*w**2 - 9. Suppose b(x) = 0. What is x?
-1
Let n be (-285)/21 + 9/(-21). Let c = 18 + n. Suppose -80*d - c*d**4 + 49 - 81 - 28*d**3 - 89*d**2 + 17*d**2 = 0. What is d?
-2, -1
Let n = 12851/42 - 1835/6. Let n*r**2 + 2/7 + r - r**3 - 3/7*r**4 = 0. Calculate r.
-2, -1, -1/3, 1
Let o be 12/(-20)*1 - 55/(-50). Suppose -o*h**3 + 0 + 1/2*h**4 + 2*h - 2*h**2 = 0. Calculate h.
-2, 0, 1, 2
Let l(y) be the third derivative of 7*y**6/120 - 37*y**5/60 + 19*y**4/12 - 4*y**3/3 + 3*y**2. Determine k so that l(k) = 0.
2/7, 1, 4
Let q(k) = -91*k**4 + 3744*k**3 - 2477*k**2 + 340*k + 17. Let w(j) = 15*j**4 - 624*j**3 + 413*j**2 - 56*j - 3. Let l(h) = 6*q(h) + 34*w(h). Factor l(b).
-4*b*(b - 34)*(3*b - 1)**2
Let l = 12051 + -12049. Suppose -2/21*c + 0 - 2/21*c**3 - 4/21*c**l = 0. Calculate c.
-1, 0
Suppose -4*c - 2 = -5*c. Factor -4*b**2 + 5*b**c + 3*b**2 + 2 - 6.
4*(b - 1)*(b + 1)
Let w(u) be the third derivative of 0 - 1/630*u**7 + 0*u - 1/120*u**6 + 0*u**3 + 1/45*u**5 + 0*u**4 - 39*u**2. Solve w(r) = 0.
-4, 0, 1
Let m = 12 - 9. What is i in 0*i + 20*i**3 - 18*i**m - 2*i = 0?
-1, 0, 1
Let g(q) = -7*q + 46. Let i(y) = -2*y - 1. Let u(b) = g(b) - 6*i(b). Let m be u(-10). Factor 2/3 + 1/3*r**4 - r**m + 1/3*r - 1/3*r**3.
(r - 2)*(r - 1)*(r + 1)**2/3
Let v(l) be the first derivative of l**6/10 + 33*l**5/25 + 27*l**4/20 - 11*l**3/5 - 3*l**2 + 268. Let v(o) = 0. Calculate o.
-10, -1, 0, 1
Let c = 808 + -798. Let x(k) be the first derivative of -512*k - 64*k**3 + c - 8*k**4 - 256*k**2 - 2/5*k**5. Suppose x(y) = 0. What is y?
-4
Let g(i) be the second derivative of -i**5/4 + 25*i**4/3 + 35*i**3/2 + 12*i + 4. Factor g(o).
-5*o*(o - 21)*(o + 1)
Let i(a) be the second derivative of 8/3*a**2 - 9*a + 0 + 2/15*a**5 + 1/90*a**6 + 16/9*a**3 + 2/3*a**4. Solve i(q) = 0.
-2
Let s(h) = -h**2 - 4*h + 1. Let u be s(-3). Suppose -115*c**4 + 112*c**u - 2*c**5 + 5*c**5 = 0. Calculate c.
0, 1
Let x(u) be the third derivative of -u**5/20 + 5*u**4/8 + 7*u**3 - 32*u**2. Factor x(n).
-3*(n - 7)*(n + 2)
Let l(d) = -2*d - 12. Let y be l(-7). Suppose y*u = 5*w + 29, -u = 4*w - 0*w + 18. Let -4/3*p - 1 - 1/3*p**u = 0. Calculate p.
-3, -1
Let n = -775 - -777. What is u in 3/7*u**n - 4/7 - 1/7*u**3 + 0*u = 0?
-1, 2
Factor 19*h**2 + 12*h - 79*h**2 + 43*h + 5*h**3.
5*h*(h - 11)*(h - 1)
Let i = -1385/3 + 463. Let o(l) be the first derivative of i*l**3 + 0*l**4 + 0*l + 1/3*l**6 - 4/5*l**5 - l**2 - 3. Factor o(h).
2*h*(h - 1)**3*(h + 1)
Let i(c) = 0*c**2 - 3*c**3 - 2*c**3 + c**2 + 6*c**3. Let u(m) = -3*m**4 + 21*m**3 - 9*m**2 + 12*m - 3. Let h(w) = 9*i(w) - u(w). Factor h(x).
3*(x - 1)**4
Let n(l) be the second derivative of -l**9/15120 + l**8/3360 + l**7/2520 - l**6/360 - 2*l**4/3 + 8*l. Let z(q) be the third derivative of n(q). Factor z(x).
-x*(x - 2)*(x - 1)*(x + 1)
Let u(c) be the second derivative of c**4/30 + 3*c**3/5 - 22*c**2/5 - 216*c. Let u(b) = 0. What 