 k(v) = -6*d(v) + 5*p(v). Let g be k(-8). Factor -6*r**g - 27*r + 27*r + 9*r**3 - 3*r**4.
-3*r**2*(r - 2)*(r - 1)
Let c(f) = -160*f**3 - 5*f**2 + 5*f. Let w(q) = 160*q**3 + 5*q**2 - 4*q. Let r(h) = 4*c(h) + 5*w(h). Factor r(o).
5*o**2*(32*o + 1)
Let b(q) be the third derivative of 5/42*q**4 + 0 - 4/21*q**3 + 11/105*q**5 + 2/105*q**6 + 31*q**2 + 0*q. Factor b(v).
4*(v + 1)*(v + 2)*(4*v - 1)/7
Let f(h) be the first derivative of h**7/14 + 5*h**6/12 + 3*h**5/4 + 5*h**4/12 + 11*h**2/2 - 21. Let l(p) be the second derivative of f(p). Factor l(a).
5*a*(a + 1)*(a + 2)*(3*a + 1)
Let q(g) be the second derivative of g**4/18 - 20*g**3/9 + 100*g**2/3 - 87*g. Determine s, given that q(s) = 0.
10
Let a(b) be the second derivative of b**5/4 - 5*b**4/6 - 5*b**3/6 + 5*b**2 - 16*b + 1. Find o such that a(o) = 0.
-1, 1, 2
Let f be 2124/(-118) - 21/(-1). Let z be (-20)/(-6) - (-2)/3. Suppose 0 + 1/2*b**2 - 1/2*b**f - 1/2*b**z + 1/2*b = 0. Calculate b.
-1, 0, 1
Let c = -80890/7 - -11442. Let u = 114 + c. Factor 4/7 - 6/7*i + u*i**2.
2*(i - 2)*(i - 1)/7
Let w(y) = 2*y**2 + 1. Let l(s) = 12*s**2 + 416*s - 10808. Let n(i) = -l(i) + 8*w(i). Factor n(g).
4*(g - 52)**2
Suppose -13*w + 0 + 4*w**3 - 7*w + 7*w**4 + 12*w**2 - 11*w**4 + 8 = 0. Calculate w.
-2, 1
Let w(b) be the first derivative of -3*b**5/5 + 15*b**4/4 - 6*b**3 - 6*b**2 + 24*b - 334. Factor w(s).
-3*(s - 2)**3*(s + 1)
Let m = -22 + 28. Solve 8 - m*r - 8*r**2 + 6*r**2 + 6*r = 0 for r.
-2, 2
Let i(g) be the first derivative of -g**6/33 + 26*g**5/55 - 23*g**4/22 + 2*g**3/3 + 117. Solve i(s) = 0 for s.
0, 1, 11
Let j(w) be the third derivative of w**6/15 - w**5/15 - 73*w**2 - 2*w. Factor j(z).
4*z**2*(2*z - 1)
Let j be (0 - (0 - -4)/4)*0. Suppose -9*m + 7*m = j. Factor m + 2/5*k**2 + 4/5*k.
2*k*(k + 2)/5
Let b(f) = f**2 + 9*f - 12. Let u be b(-10). Let k(o) = -8*o**2 + o. Let r(l) = -l**3 + 8*l**2 - 2*l. Let a(z) = u*k(z) - 3*r(z). What is m in a(m) = 0?
0, 2/3, 2
Let l = -780 - -780. Let z(p) be the third derivative of -p**2 + 0 - 1/360*p**5 - 1/144*p**4 + l*p**3 + 0*p. Find h such that z(h) = 0.
-1, 0
Let z(v) be the second derivative of v**5/20 - v**3/2 + v**2 - 3*v + 7. Factor z(p).
(p - 1)**2*(p + 2)
Determine z so that -59/6*z + 25/6*z**3 - 1 - 70/3*z**2 = 0.
-1/5, 6
Let w(b) = 9*b**2 + 699*b - 1581. Let x(f) = f**2 + 70*f - 158. Let t(n) = 2*w(n) - 21*x(n). Factor t(r).
-3*(r - 2)*(r + 26)
Let p(a) be the third derivative of -a**6/420 - 2*a**5/15 - 25*a**4/21 - 32*a**3/7 + 105*a**2. Determine j so that p(j) = 0.
-24, -2
Let k(d) = d**2 + 2*d + 17. Let n be k(6). Let a = -63 + n. Suppose -2/5*y**4 + 6/5*y**a - 4/5*y + 0 + 0*y**3 = 0. What is y?
-2, 0, 1
Let g = 59861/4 + -14959. Factor -15*y**2 + 0 - 3*y**4 - 1/4*y**5 - g*y - 23/2*y**3.
-y*(y + 1)**2*(y + 5)**2/4
Suppose -5*z = 4*m - 214, 6*z - m - 125 = 3*z. Determine u, given that -z*u**3 - 9*u**4 + 7*u + 6*u**2 + 27*u**3 - 7*u = 0.
-2, 0, 1/3
Let l = -299 + 294. Let q(v) = 2*v**3 + 9*v**2 - 4*v + 7. Let s be q(l). Factor s*w + 4/3*w**2 + 2/3.
2*(w + 1)*(2*w + 1)/3
Suppose -578*z + 572*z + 18 = 0. Find s, given that -6/5*s + 21/5*s**3 + 0 - z*s**2 = 0.
-2/7, 0, 1
Suppose -5*g - 4*h = -18, 0*h - 3*h = -2*g - 2. Factor 0*d - 1/3 + 1/3*d**g.
(d - 1)*(d + 1)/3
Let k = -10 - -12. Let -11*p**2 - p**3 + 21*p**2 - 9*p**k = 0. Calculate p.
0, 1
Let p be -4*5/((-20)/4). Suppose 3*n - 2*o = 10 + 5, -p*n + o = -15. Let -11*h**n - 3*h**4 + 3*h**2 + 11*h**3 = 0. What is h?
-1, 0, 1
Let o(u) = -u**3 - 2*u**2 - u. Let i be o(-2). Let d = i + 0. Factor -2*p**2 + 2*p - d*p**2 + p**2 - 6 + 7*p.
-3*(p - 2)*(p - 1)
Let d(y) be the first derivative of 5/12*y**3 + 18 + y**2 + y + 1/16*y**4. Let d(n) = 0. Calculate n.
-2, -1
Let i(d) be the third derivative of -d**6/40 + 9*d**5/5 - 54*d**4 + 864*d**3 + 261*d**2. Factor i(q).
-3*(q - 12)**3
Suppose 143*q - 1 - 11 + 56*q + 69*q + 117*q**2 - 40*q = 0. Calculate q.
-2, 2/39
Let s = 17 + -15. Let l be s/10*(1 - 6/(-6)). Solve l*j**2 + 0*j + 0 = 0.
0
Suppose -17 = -3682*m + 3700*m - 53. Factor -3 - 3/2*y**3 - 6*y**m - 15/2*y.
-3*(y + 1)**2*(y + 2)/2
Let z(i) = 5*i**4 - 24*i**3 - 30*i**2 + 16*i + 25. Let w(c) = -5*c**4 + 23*c**3 + 30*c**2 - 17*c - 25. Let g(u) = -4*w(u) - 3*z(u). Factor g(p).
5*(p - 5)*(p - 1)*(p + 1)**2
Let c(u) = u**3 + 3*u**2 + u - 2. Let v be c(-2). Factor 2/7*o - 1/7*o**2 + v.
-o*(o - 2)/7
Let k(j) be the third derivative of j**7/140 + 7*j**6/40 + 3*j**5/2 + 25*j**4/8 - 125*j**3/4 - 3*j**2 - 3. Find z such that k(z) = 0.
-5, 1
Let w be (-270)/(-48)*124/155. Find l, given that -3 - w*l + 0*l**2 + 3/2*l**3 = 0.
-1, 2
Let n(l) = -l**2 + 5*l + 10. Let i be n(6). Factor -i*a - 4 - 3*a**2 + a**2 + 1 + 1.
-2*(a + 1)**2
Let y(h) be the first derivative of 5/14*h**2 - 33 + 2/7*h + 1/28*h**4 + 4/21*h**3. Factor y(b).
(b + 1)**2*(b + 2)/7
Let t(n) be the first derivative of n**4/6 + 10*n**3/9 + 7*n**2/3 + 2*n + 91. Factor t(a).
2*(a + 1)**2*(a + 3)/3
Let d(t) be the second derivative of 1/30*t**5 + 13 + 1/45*t**6 + 0*t**2 + 0*t**3 - 1/9*t**4 + 2*t. Suppose d(g) = 0. What is g?
-2, 0, 1
Let y(m) be the first derivative of 3*m + 0*m**3 + 2 + 1/12*m**2 - 1/72*m**4. Let n(d) be the first derivative of y(d). Solve n(r) = 0 for r.
-1, 1
Let c(p) be the second derivative of -3*p**5/40 + p**4/8 + p**3/2 + 7*p + 4. Find f, given that c(f) = 0.
-1, 0, 2
Let z(p) be the second derivative of -p**6/120 - 3*p**5/40 + 17*p**3/6 - 20*p. Let t(i) be the second derivative of z(i). Factor t(n).
-3*n*(n + 3)
Factor -1/8*q + 1/2 + 1/8*q**3 - 1/2*q**2.
(q - 4)*(q - 1)*(q + 1)/8
Let z be (1 - (-156)/60)/(21/28). Factor 12/5*v - 3/5*v**4 + 0 + 3*v**3 - z*v**2.
-3*v*(v - 2)**2*(v - 1)/5
Let c(y) be the second derivative of -1/14*y**7 - 2*y**3 - 22*y + 3/4*y**5 + 5/6*y**4 - 4*y**2 + 0 - 1/15*y**6. Solve c(q) = 0 for q.
-2, -1, -2/3, 1, 2
Let p be 1 - (4 + -9 + 83). Let c = -305/4 - p. Let 3/4*d + c*d**2 - 3/2 = 0. What is d?
-2, 1
Suppose -14*r - 504 + 504 = r. Factor 4/5*f**4 - 2/5*f**3 + r*f + 0 + 0*f**2 - 2/5*f**5.
-2*f**3*(f - 1)**2/5
Let k(p) be the first derivative of p**5 - 5*p**4 - 35*p**3/3 + 25*p**2 - 110. Suppose k(c) = 0. What is c?
-2, 0, 1, 5
Let q be (-14)/(-6) + 13/(-39). Factor 3*r - 94*r**2 + 2 + 94*r**q - r**3.
-(r - 2)*(r + 1)**2
Let w be 18/(-12)*2 - -8. Let z(u) be the second derivative of 1/21*u**7 + 0 + 0*u**2 - 1/3*u**3 + 0*u**w + 2/15*u**6 - 1/3*u**4 + 2*u. Factor z(c).
2*c*(c - 1)*(c + 1)**3
Factor 242/9*s + 0 - 7/9*s**4 - 99*s**2 + 52/3*s**3.
-s*(s - 11)**2*(7*s - 2)/9
Let f(u) be the second derivative of 4*u**7/15 - u**6/5 - 13*u**5/25 + u**4/2 - 2*u**3/15 + 3*u. Solve f(c) = 0.
-1, 0, 1/4, 2/7, 1
Let u(c) = -c**2 - 18*c - 5. Let z(g) = -4*g**2 - 72*g - 19. Let t(l) = 9*u(l) - 2*z(l). Let h(w) = 9*w + 3. Let o(y) = 5*h(y) + 3*t(y). Factor o(q).
-3*(q + 1)*(q + 2)
Let u(b) = 10*b**4 - 10*b**2 + 10. Let k(x) be the second derivative of -x**6/30 - x**2/2 + 18*x. Let p(m) = -5*k(m) - u(m). Factor p(s).
-5*(s - 1)**2*(s + 1)**2
Let g(s) be the first derivative of 1/10*s**2 + 4*s + 1/60*s**4 - 1/15*s**3 + 2. Let t(c) be the first derivative of g(c). Solve t(o) = 0.
1
Let x(g) = 3*g - 15. Let p be x(6). Factor 7*r**3 - 2*r**4 - 3*r**3 + 2*r**2 - 6*r**p + 2*r**5.
2*r**2*(r - 1)**2*(r + 1)
Let x(y) be the second derivative of -5*y**6/24 - 3*y**5/2 + 5*y**4/3 + 14*y**2 + 38*y. Let g(z) be the first derivative of x(z). Let g(d) = 0. Calculate d.
-4, 0, 2/5
Factor 6*d**2 - 10*d**5 + 116*d**4 + 484*d**4 - 6*d**2 + 285*d**3 + 315*d**5 - 10*d**2.
5*d**2*(d + 1)**2*(61*d - 2)
Let v(b) be the third derivative of 0 - 47*b**2 - 9/16*b**4 + 1/80*b**6 + 0*b + 27/8*b**3 + 0*b**5 - 1/840*b**7. Solve v(k) = 0 for k.
-3, 3
Suppose -3 = -h + 2*w - 9, 0 = -5*h + 2*w + 10. Let x = -55596 - -55598. Find r, given that 1/5*r**h + 0 + 0*r - 1/5*r**x + 0*r**3 = 0.
-1, 0, 1
Let t = 472 - 470. Determine u so that 2/3*u + 4/3 - 2/3*u**t = 0.
-1, 2
Factor -14*q + 17 + 9 - 11 + 0 - q**2.
-(q - 1)*(q + 15)
Let n(x) be the third derivative of x**6/1080 - x**5/180 + 5*x**3/2 - 7*x**2. Let l(m) be the first derivative of n(m). Factor l(r).
r*(r - 2)/3
Determine z, given that -327/11*z**3 + 730/11*z**2 + 9/11*z**4 + 136/11 - 548/11*z = 0.
2/3, 1, 34
Suppose -22604 + 22616 + 33*j**3 + 129*j**2 + 144*j + 6*j**2 = 0. Calculate j.
-2, -1/11
Let c = -81 - -79. L