3137/13971. Let d(q) be the first derivative of v*q**3 - 4*q**2 + 4/5*q**5 + 0*q + 4 - 4*q**4. Let d(z) = 0. Calculate z.
0, 1, 2
Let t(r) = 12*r**4 - 14*r**3 + 16*r**2 - 5*r - 9. Suppose 6*j - 6 = -30. Let f(v) = -v**4 - v**2 + v + 1. Let i(o) = j*t(o) - 36*f(o). Factor i(b).
-4*b*(b - 4)*(b - 1)*(3*b + 1)
Let p be ((-6)/(-12))/(((-72)/(-32))/3). Let -5/3*a**4 - 1/3*a**3 - p*a + 0 + a**5 + 5/3*a**2 = 0. Calculate a.
-1, 0, 2/3, 1
Let m = 103/696 - 2/87. Let o(v) be the third derivative of 0 - 2*v**2 + 0*v**3 - 1/10*v**5 + 0*v + 0*v**4 + 1/10*v**7 + m*v**6. Suppose o(i) = 0. What is i?
-1, 0, 2/7
Let x = -22669/2 - -11357. Determine r so that -10 - 65/4*r**3 - 5*r**4 + x*r**2 + 15/4*r**5 + 5*r = 0.
-2, -2/3, 1, 2
Let m(r) = 4*r**3 - 2*r**2 + 3. Suppose -5*z - h = -4 - 15, z - 9 = 5*h. Let y(k) = -5*k**3 + 3*k**2 - 4. Let g(v) = z*m(v) + 3*y(v). What is x in g(x) = 0?
-1, 0
Suppose -2/5*y**3 - 4/5*y**2 + 2/5*y + 4/5 = 0. What is y?
-2, -1, 1
Find r such that -16*r**2 - 2*r**5 - 22/3*r + 4*r**3 + 4 + 20/3*r**4 = 0.
-1, 1/3, 2, 3
Let a(z) = 5*z**3 + 30*z**2 - 15*z - 40. Let j(w) = 2*w**3 + 10*w**2 - 5*w - 13. Let m(x) = 3*a(x) - 10*j(x). Factor m(l).
-5*(l - 1)*(l + 1)*(l + 2)
Let t(v) be the third derivative of -v**7/70 - v**6/10 - 3*v**5/20 + v**4/2 + 2*v**3 - 19*v**2 + 1. Factor t(r).
-3*(r - 1)*(r + 1)*(r + 2)**2
Let c(x) = -x**3 + x**2 + 18*x + 12. Let y be c(5). Solve -4/7 + 3/7*z + 1/7*z**y = 0.
-4, 1
Suppose 7 = 5*i - 3. Find s, given that 35 - 172*s**3 - 25*s**5 - 115*s**4 - 15 - 3*s**3 - 85*s**i + 20*s = 0.
-2, -1, 2/5
Let v(k) = -328*k**4 + 724*k**3 - 140*k**2 + 4*k + 12. Let r(n) = n**4 - n**3 - 2*n**2 + n - 3. Let c(g) = -4*r(g) - v(g). Factor c(j).
4*j*(j - 2)*(9*j - 1)**2
Let g(y) = -18*y**2 + 381*y - 111. Let n(w) = 37*w**2 - 763*w + 221. Let u(v) = 5*g(v) + 3*n(v). Determine b, given that u(b) = 0.
2/7, 18
Let t = -20 - -16. Let b be -4 + 15 - (t - 0). Factor b*n - 16*n**3 + 10*n**4 + n - 16 - 6*n**4 + 12*n**2.
4*(n - 2)**2*(n - 1)*(n + 1)
Let k(q) = -3*q**2 + 4*q + 2. Let v(w) = -w**2. Let j = -18 - -19. Suppose -j = -7*h + 8*h. Let n(c) = h*k(c) + 5*v(c). Suppose n(r) = 0. Calculate r.
-1
Factor -6*i + 2/7*i**3 + 2*i**2 - 54/7.
2*(i - 3)*(i + 1)*(i + 9)/7
Suppose -28*q + 29*q = 2. Factor -b - 9*b**2 - 2 - q*b**3 - b**4 + 3*b**3 + 12*b**2.
-(b - 2)*(b - 1)*(b + 1)**2
Solve -9800/11 - 2/11*z**2 - 280/11*z = 0.
-70
Suppose 9*j + 19 = 28*j. Let z be (j/(-17))/(-2 + 12/8). Determine l, given that z*l**2 + 4/17 - 6/17*l = 0.
1, 2
Let -384/11 - 36/11*c**3 - 160/11*c + 2/11*c**4 + 186/11*c**2 = 0. What is c?
-1, 3, 8
Factor -32*b**2 + 0 + 384/5*b - 2/15*b**4 + 56/15*b**3.
-2*b*(b - 12)**2*(b - 4)/15
Let o(y) be the first derivative of -y**6/30 - 42*y**5/25 - 397*y**4/20 + 308*y**3/5 - 242*y**2/5 - 413. Factor o(x).
-x*(x - 1)**2*(x + 22)**2/5
Let p(m) = -m**2 - 5*m + 8. Let n be p(-6). Let n*i + 2*i - 2*i**4 - 2*i**3 + 2*i**2 - 6*i + 4*i = 0. Calculate i.
-1, 0, 1
Let f(j) be the second derivative of j**6/150 + 7*j**5/100 + 17*j**4/60 + 17*j**3/30 + 3*j**2/5 + 7*j - 7. Factor f(l).
(l + 1)**2*(l + 2)*(l + 3)/5
Let l(r) be the third derivative of 1/9*r**3 + 0*r + 1/54*r**4 + 0 - 6*r**2 - 1/270*r**5. Factor l(c).
-2*(c - 3)*(c + 1)/9
Factor 78/5 - 22/15*j**2 - 28/5*j + 8/15*j**3.
2*(j - 3)**2*(4*j + 13)/15
Factor 596*p + 2*p**4 + 14*p**3 - 24*p**3 - 622*p - 50*p**2 - 12*p**3.
2*p*(p - 13)*(p + 1)**2
Let r(p) be the first derivative of p**4/48 + p**3/8 + p**2/4 - 15*p + 11. Let q(y) be the first derivative of r(y). What is s in q(s) = 0?
-2, -1
Let n(d) be the second derivative of -d**4/9 - 22*d**3/9 + 8*d**2 + 12*d. Let n(h) = 0. Calculate h.
-12, 1
Let k(l) = l**2 - 4*l - 3. Let q be k(-5). Let g = -42 + q. Factor -2/3*f**2 + g*f + 0.
-2*f**2/3
Let w = 34 + -32. Suppose 74*x**w - 35*x**2 - x - 40*x**2 = 0. What is x?
-1, 0
Let x(t) = -t**2 + t + 29. Let n be x(5). Let o be (1 - 11/14)*24/n. Factor -o - 30/7*r**2 + 18/7*r + 22/7*r**3 - 6/7*r**4.
-2*(r - 1)**3*(3*r - 2)/7
Let i(g) be the third derivative of -17*g**5/60 - 13*g**4/3 - 2*g**3 - 408*g**2. Determine a so that i(a) = 0.
-6, -2/17
Suppose 0 = -4*d - 3*c + 184, 2*c + 54 + 150 = 4*d. Factor -d*v**2 + 24*v**2 + 16 + 18*v**2 - 8*v - v**3.
-(v - 1)*(v + 4)**2
Suppose -34 = 70*o - 87*o. Let 0*q + 6/5*q**o + q**3 + 1/5*q**4 + 0 = 0. Calculate q.
-3, -2, 0
Let w(f) be the first derivative of 90*f**5/7 - 285*f**4/7 + 962*f**3/21 - 152*f**2/7 + 32*f/7 + 490. Factor w(h).
2*(h - 1)**2*(15*h - 4)**2/7
Suppose 5*n = -y - 3*y + 5, 3*n - 5*y = -34. Let d be 3 + -8 + 4 - n. Factor -374*w - 6 - 10 + 382*w - w**d.
-(w - 4)**2
Let f be 219/(-222)*-2 - (-16)/(-8). Let l = f + 40/111. Suppose 2/3 + l*g**2 + g = 0. What is g?
-2, -1
Let -2292 - 2*j**5 - 10*j**3 - 2*j**3 - 8*j**2 - 2*j + 2292 - 8*j**4 = 0. What is j?
-1, 0
Let -1/3*c**2 - 4/3*c + 0 = 0. What is c?
-4, 0
Suppose 0 = -15*c + 4*c - 187. Let s = c + 17. Factor -2*m**2 + 0 + 2/3*m**3 + s*m.
2*m**2*(m - 3)/3
Let v(d) = -3*d**4 - 7*d**3 + 21*d**2 + 7*d - 10. Let s(l) = -l**4 - 2*l**3 + 7*l**2 + 2*l - 3. Let t(z) = -8*s(z) + 3*v(z). Find h, given that t(h) = 0.
-6, -1, 1
Let r(k) be the first derivative of -k**3/4 + 3*k**2/2 - 9*k/4 - 24. Suppose r(m) = 0. What is m?
1, 3
Let m(r) = -2*r**2 + 4*r + 1. Let i be m(10). Let k = i - -159. Factor 0 + 1/2*p**2 - 1/2*p**4 + k*p + 0*p**3.
-p**2*(p - 1)*(p + 1)/2
Let w(f) = 3*f**2 + 15*f + 4. Let k(v) = -9*v**2 - 45*v - 11. Let j(y) = 4*k(y) + 11*w(y). Factor j(h).
-3*h*(h + 5)
Let g(k) be the second derivative of -k**8/420 - k**7/210 + 10*k**3/3 - 3*k. Let u(m) be the second derivative of g(m). Solve u(z) = 0 for z.
-1, 0
Let i(w) = -4*w**2 - 512*w - 506. Let s be i(-127). Factor 0 - 15/4*r**3 + 3/4*r**4 - 9/4*r + 21/4*r**s.
3*r*(r - 3)*(r - 1)**2/4
Solve 27/4*i**2 + 9/2*i + 15/8*i**3 - 3 = 0.
-2, 2/5
Let j(v) = -v**2 + 2*v. Let h(u) = 2*u**2 + 50*u. Let s(m) = -h(m) - 5*j(m). Factor s(y).
3*y*(y - 20)
Determine f, given that 0*f**3 + 0*f + 5/4*f**5 + 0*f**2 + 0 - 3/4*f**4 = 0.
0, 3/5
Let g(f) be the second derivative of 49*f**4/66 - 322*f**3/11 + 4761*f**2/11 - f + 33. Factor g(p).
2*(7*p - 69)**2/11
Let z be 0/(1*(-2 - -3)). Let s(t) be the second derivative of 0*t**2 + 2/35*t**5 + 0*t**3 - 1/21*t**4 - 2/105*t**6 + t + z. Solve s(f) = 0.
0, 1
Let c(y) = -y**3 + 5*y**2 - 3*y + 4. Let d be c(4). Suppose 4*u**4 - 3*u**2 + 273*u - 4*u**5 - 5*u**2 - 277*u + 4 + d*u**3 = 0. Calculate u.
-1, 1
Let c(w) be the third derivative of w**5/90 - 8*w**4/9 + 256*w**3/9 - 13*w**2 - 1. What is x in c(x) = 0?
16
Suppose -1260*u**3 + 8 - 48*u - 1261*u**3 - 13*u**2 - 10*u**4 + 51*u**2 + 2533*u**3 = 0. Calculate u.
-2, 1/5, 1, 2
Let b(n) be the third derivative of -n**6/40 + n**5/8 + 39*n**4/16 + 9*n**3/2 - n**2 + 112. Suppose b(m) = 0. What is m?
-3, -1/2, 6
Let n = 365 + -362. Let b(f) be the second derivative of f**n + 2*f**2 + 1/6*f**4 + 0 - 7*f. Factor b(u).
2*(u + 1)*(u + 2)
Let p(z) = z**2 + 13*z + 22. Let u be p(-12). Find o, given that 78*o**3 - 5*o**5 + 32*o - 112*o**2 - 48*o**2 - u*o**4 + 12*o**3 + 83*o - 30 = 0.
-6, 1
Let z be (2/(-24))/(17/(-68)). Let f(n) be the second derivative of 0 - 1/6*n**4 + n**2 - n + 1/10*n**5 - z*n**3. Factor f(h).
2*(h - 1)**2*(h + 1)
Let x(l) be the second derivative of -l**7/14 - 4*l**6/5 - 3*l**5 - 4*l**4 + 223*l. Suppose x(p) = 0. Calculate p.
-4, -2, 0
Factor 4/9*a - 4/3*a**2 - 4/9*a**3 + 4/3.
-4*(a - 1)*(a + 1)*(a + 3)/9
Suppose o - 5*b = -1 + 14, 4*b + 20 = 4*o. Factor -2*p - 2/7*p**o - 6/7 - 10/7*p**2.
-2*(p + 1)**2*(p + 3)/7
Let s = -50/11 - -5882/55. Let q = -102 + s. Suppose -q*x**2 - 2/5 + 4/5*x = 0. Calculate x.
1
Suppose 4*z + 4 = 6*z. Factor -7 - 6*a**3 + 2*a + 8*a**3 + 7 - 4*a**z.
2*a*(a - 1)**2
Let n(k) be the first derivative of k**5/90 + k**4/18 - k**3/3 + 27*k**2/2 + 3. Let d(z) be the second derivative of n(z). Factor d(t).
2*(t - 1)*(t + 3)/3
Suppose -5*q - 3 - 2 = 0. Let p(h) = 3*h**3 + 19*h - 14. Let u(o) = o**3 + o**2. Let y(b) = q*p(b) + 4*u(b). Factor y(t).
(t - 2)*(t - 1)*(t + 7)
Let o(q) be the first derivative of q**5/80 - q**4/24 - 27*q + 4. Let s(b) be the first derivative of o(b). Factor s(y).
y**2*(y - 2)/4
Let m(b) = -b**3 - b**2 - b - 1. Let j = -11 + 15. Let d(i) = -2*i**3 - 5*i**2 - 4*i - 1. Let v(u) = j*d(u) - 12*m(u). Factor v(r).
4*(r