55 - -803/5. Let w = s + 47/22. Determine c so that w*c - 1 + 3/2*c**2 = 0.
-1, 2/3
Let j(q) be the third derivative of -q**6/540 + 4*q**5/135 - 5*q**4/108 - 14*q**3/27 + 34*q**2 + q. Find f, given that j(f) = 0.
-1, 2, 7
Let k(a) = -7*a**2 - 36*a - 2. Let l be k(-5). Determine v, given that 2/11*v**5 - 2/11*v**4 - 4/11*v**2 - 12/11*v**l + 6/11 + 10/11*v = 0.
-1, 1, 3
Suppose 2*p - 52 = -24*p. Let v(u) be the second derivative of -5*u + 0*u**p + 0 + 3/8*u**3 - 1/16*u**4. Factor v(l).
-3*l*(l - 3)/4
Let b be (-672)/2464 + (-162)/(-110). Solve 39/5*f**2 - 24*f**4 + 0 + 27/5*f**3 + b*f + 48/5*f**5 = 0.
-1/4, 0, 1, 2
Factor 69*u**3 - 23*u**2 + 5*u**2 - 21 - 68*u**3 + u**4 - 52*u - 19.
(u - 5)*(u + 2)**3
Let c(k) be the third derivative of 1/300*k**6 + 1/1050*k**7 - 33*k**2 + 0*k**3 - 2/75*k**5 + 0 + 0*k**4 + 0*k. Factor c(f).
f**2*(f - 2)*(f + 4)/5
Let b = -11 + 15. Let w be 1/b + 310/8. Let o(c) = -7*c**3 + 25*c**2. Let d(f) = f**3 - 4*f**2. Let h(s) = w*d(s) + 6*o(s). Suppose h(k) = 0. Calculate k.
-2, 0
Let h be 2/((-48)/(-46)) - 42/((-4788)/(-190)). Determine n so that 1/4*n**3 + h*n**4 - 1/4*n - 1/4*n**2 + 0 = 0.
-1, 0, 1
Let o(d) be the third derivative of d**7/1890 - d**6/54 + d**5/10 - 13*d**4/54 + 17*d**3/54 + 37*d**2 + 2*d. Factor o(v).
(v - 17)*(v - 1)**3/9
Let i(h) be the first derivative of -50/11*h - 10/11*h**2 - 2/33*h**3 + 1. Factor i(f).
-2*(f + 5)**2/11
Factor -290*f**2 + 145*f**2 + 270*f + 140*f**2 - 3645.
-5*(f - 27)**2
Factor 159/2*r - 27*r**2 + 9/2.
-3*(r - 3)*(18*r + 1)/2
Let q be ((-130)/150 - -1)*9. Let z(y) be the first derivative of -3 - 3/2*y**2 - 3/25*y**5 + 3/20*y**4 + q*y + 3/5*y**3. Determine r, given that z(r) = 0.
-2, 1
Determine d, given that -1/6*d**2 + 19/6*d + 10/3 = 0.
-1, 20
Let x(n) be the first derivative of -n**4/4 - 2*n**3/3 + 5*n**2/2 + 6*n - 140. Factor x(j).
-(j - 2)*(j + 1)*(j + 3)
Let g(d) be the second derivative of d**6/90 - 2*d**5/15 - 5*d**4/18 + 4*d**3/9 + 3*d**2/2 - 104*d. Determine b, given that g(b) = 0.
-1, 1, 9
Let r(w) be the third derivative of -w**5/15 + 5*w**4/3 - 50*w**3/3 - 314*w**2. Factor r(n).
-4*(n - 5)**2
Let k(i) = -32*i**4 + 6*i**3 + 55*i**2 + 7*i - 10. Let q(p) = -31*p**4 + 9*p**3 + 56*p**2 + 8*p - 8. Let a(l) = -4*k(l) + 5*q(l). Factor a(t).
-3*t*(t - 2)*(t + 1)*(9*t + 2)
Let k = 36451 - 145779/4. What is o in -k*o**5 + 77/2*o**2 + 6 - 20*o**4 + 51/4*o**3 - 31*o = 0?
-3, -2, 2/5, 1
Let v(w) be the second derivative of w**4/3 + 2*w**3 + 4*w**2 - 161*w. Suppose v(u) = 0. Calculate u.
-2, -1
Let m(u) be the third derivative of u**7/70 + 7*u**6/40 - 7*u**5/5 + 5*u**4/2 - 2*u**2 - 30. Factor m(n).
3*n*(n - 2)*(n - 1)*(n + 10)
Let p(g) = -81*g + 1. Let y be p(-2). Suppose 5*b = y + 107. Factor 3*i**3 + 3*i**4 - b + 54.
3*i**3*(i + 1)
Let k(r) = r**2 + 5*r + 4. Let p be k(-5). Let x = 20934 + -20931. Factor -64*a**2 - 512/3*a - 512/3 - 2/3*a**p - 32/3*a**x.
-2*(a + 4)**4/3
Let h be ((-2)/(16/(-6)))/(39/26). Determine n, given that -3/10*n + 9/10 - h*n**2 - 1/10*n**3 = 0.
-3, 1
Let q(j) be the second derivative of -2*j**2 - 7*j - 4/3*j**3 + 0 - 1/3*j**4. Solve q(f) = 0 for f.
-1
Determine m, given that -1/7*m**3 + 1/7*m**4 - 15/7*m - 17/7*m**2 + 0 = 0.
-3, -1, 0, 5
Let t = 3131/5 + -626. Let s(u) be the first derivative of 3/20*u**4 - 4 + 2/25*u**5 - 1/15*u**3 - t*u - 3/10*u**2. Suppose s(b) = 0. What is b?
-1, -1/2, 1
Suppose -14*m + m = 2*m. Let t(h) be the third derivative of -1/42*h**6 + 0*h - 2/735*h**7 - 1/15*h**5 - 2*h**2 + m + 0*h**3 - 1/14*h**4. Factor t(u).
-4*u*(u + 1)**2*(u + 3)/7
Suppose -4*s = -4*i + 52, 2*i + 10 = -3*s - 9. Let r = -7 - s. Factor 2/3*n - 2/3*n**3 + 0*n**r + 1/3 - 1/3*n**4.
-(n - 1)*(n + 1)**3/3
Let l(s) = 9*s**3 - 9*s - 12. Let m(z) = -8*z**3 - z**2 + 8*z + 11. Let p(w) = 5*l(w) + 6*m(w). Factor p(g).
-3*(g - 1)*(g + 1)*(g + 2)
Let f be 68/(-276) - (0 - 1). Let t = -2/23 + f. Factor 2/3*q**4 + 2/9*q**2 - t*q**3 - 2/9*q**5 + 0*q + 0.
-2*q**2*(q - 1)**3/9
Let x(r) be the first derivative of r**3/33 - 7*r**2/22 - 18*r/11 + 301. Factor x(p).
(p - 9)*(p + 2)/11
Factor 1/4*o - 3/8*o**2 + 1/8*o**3 + 0.
o*(o - 2)*(o - 1)/8
Let x(r) = -2*r - 60. Let z(c) = c + 62. Let l(d) = -3*x(d) - 2*z(d). Let q be l(-13). Factor 0 + 4/3*t**3 + 2/3*t**5 + 1/3*t**2 + 0*t + 5/3*t**q.
t**2*(t + 1)**2*(2*t + 1)/3
Let s(v) be the second derivative of -2/35*v**5 + 5/42*v**4 - 2/21*v**3 - 5*v + 0*v**2 + 0 + 1/105*v**6. Determine g, given that s(g) = 0.
0, 1, 2
Determine n so that 8/5*n**3 + 68/5*n**2 + 28/5*n - 32/5 = 0.
-8, -1, 1/2
Let p = -413/5 + 83. Let h be ((-3)/(75/(-5)))/(12 + -13)*-2. Solve -4/5*o + p + h*o**2 = 0 for o.
1
Let z be 16/8*(6/4 + 0). Let q(n) be the second derivative of 1/15*n**z + 0*n**2 + 0 + 7*n + 1/60*n**4. Determine u, given that q(u) = 0.
-2, 0
Suppose -2*a = -13 - 9. Suppose 0 = -4*n + a - 3. Let -15*j**n + 3 - 1 + 13*j**2 + 0 = 0. Calculate j.
-1, 1
Let x = 73 + -61. Suppose 4*n = -x, 0 = -5*p - 3*n + 5 - 4. Let -4/5*h - 1/5*h**4 - 3/5*h**p + 4/5 + 4/5*h**3 = 0. Calculate h.
-1, 1, 2
Suppose 2586*i - 2634*i = 0. Let m = -2 - -4. Factor 3/5*k**m + i + 2/5*k + 1/5*k**3.
k*(k + 1)*(k + 2)/5
Let d(o) be the first derivative of 0*o**2 + 2/3*o**3 - 2 + 1/10*o**5 - 8*o - 1/2*o**4. Let p(x) be the first derivative of d(x). Factor p(g).
2*g*(g - 2)*(g - 1)
Let u(v) be the first derivative of -10 - 5/4*v + 5/12*v**3 - 5/8*v**2 + 5/16*v**4. Let u(q) = 0. What is q?
-1, 1
Suppose -40 = -4*i - 4. Suppose 3*q - 18 = -3*o, 2*q + 3*o + i - 25 = 0. Suppose -1/7 + 1/7*r**3 - 1/7*r + 1/7*r**q = 0. What is r?
-1, 1
Let f(y) be the first derivative of y**4/2 - 6*y**3 - 48*y**2 - 104*y + 336. Solve f(u) = 0.
-2, 13
Let y(v) = -8*v**2 + v + 1. Let k(s) = s**2 - s. Let l = 30 - 26. Let d(x) = l*k(x) + y(x). Factor d(c).
-(c + 1)*(4*c - 1)
Find x, given that -11/3*x + 0 - 1/3*x**2 = 0.
-11, 0
Suppose -3*d - 81 = 2*s - 93, -4*d = -3*s + 1. Find f such that 3/7*f**4 + 6/7*f**3 + 3/7 - 3/7*f - 3/7*f**5 - 6/7*f**d = 0.
-1, 1
Determine y so that 118*y**4 + 116*y**4 - 3*y - 16 + 12*y**2 + 7*y**3 - y - 233*y**4 = 0.
-4, -2, 1
Let l(a) be the second derivative of -a**4/42 + 13*a**3/21 + 68*a**2/7 - 283*a. Factor l(f).
-2*(f - 17)*(f + 4)/7
Let k(a) be the first derivative of -a**6/60 + a**5/40 + a**4/24 - a**3/12 + 8*a - 21. Let m(f) be the first derivative of k(f). Factor m(o).
-o*(o - 1)**2*(o + 1)/2
Suppose 0 = -n + 3*b + 3, -4*b - 3 = -2*n + 5. Find r, given that -4 + 9*r**2 + 3 + 4 + 6*r - n*r**2 = 0.
-1
Let r(u) = u**4 - u**3 - u + 1. Let l(x) = 2*x**5 - 14*x**4 + 18*x**3 + 2*x - 2. Let t(y) = l(y) + 2*r(y). Factor t(w).
2*w**3*(w - 4)*(w - 2)
Let w(j) = 19*j**3 + 31*j**2 + 21*j + 9. Let i(u) = 9*u**3 + 16*u**2 + 11*u + 4. Let b(r) = -9*i(r) + 4*w(r). Determine l, given that b(l) = 0.
-3, -1, 0
Let f(z) be the third derivative of z**9/3024 - z**8/672 + z**7/504 - z**4 + 5*z**2. Let o(x) be the second derivative of f(x). What is a in o(a) = 0?
0, 1
Let w(q) = -2*q**3 + 11*q**2 - 19*q + 15. Let f(b) = -b**3 + 5*b**2 - 10*b + 9. Let u(a) = -5*f(a) + 3*w(a). Suppose u(h) = 0. What is h?
0, 1, 7
Suppose -5*l - 3*h + 7 = h, -2*l + 4*h + 14 = 0. Let b be 5/60*l - 13/(-12). Factor -b*k**2 + 40/3*k - 100/3.
-4*(k - 5)**2/3
Let r be 1 - (2 + (6 - 7)). Let b(h) be the second derivative of h + 1/8*h**4 - 1/4*h**2 + 1/20*h**5 + r*h**3 + 0. Factor b(i).
(i + 1)**2*(2*i - 1)/2
Let y(d) be the first derivative of 0*d + 0*d**4 - 1/12*d**6 + 2 + 0*d**3 + 0*d**2 + 1/5*d**5. What is b in y(b) = 0?
0, 2
Let k(p) = 5*p**3 + 15*p**2 + 3*p - 20. Let a(s) = 19*s**3 + 59*s**2 + 13*s - 80. Let u(f) = 6*a(f) - 22*k(f). Factor u(j).
4*(j - 1)*(j + 2)*(j + 5)
Let x be ((-60)/(-130))/(7*(-4)/(-91)). Find c such that -18*c - x*c**2 - 54 = 0.
-6
Let c(t) = -t**3 - 3*t**2 + 10*t - 16. Let d be c(-6). Let -2/3 - 128/3*p**3 - 8*p - d*p**2 = 0. Calculate p.
-1/4
Suppose 30*y + 17*y - 423 = 0. Let j(k) be the third derivative of 1/120*k**6 + 0*k - 1/84*k**7 - 1/24*k**4 + y*k**2 + 0*k**3 + 1/24*k**5 + 0. Factor j(x).
-x*(x - 1)*(x + 1)*(5*x - 2)/2
Let p = 718 + -716. Let l(f) be the second derivative of 12*f + 44/9*f**3 + 0 + 11/3*f**4 + 37/30*f**5 + 8/3*f**p + 7/45*f**6. Find s, given that l(s) = 0.
-2, -1, -2/7
Let h(a) = a**3 + 19*a**2 + a + 22. Let g be h(-19). Let o(f) be the first derivative of 1/3*f**g 