ind q such that 6/11*q**5 + 8/11*q + 0 + 46/11*q**3 + 32/11*q**2 + 28/11*q**4 = 0.
-2, -1, -2/3, 0
Let s(q) be the second derivative of q**6/60 + q**5/20 - q**3/6 - q**2/4 - 30*q. Factor s(o).
(o - 1)*(o + 1)**3/2
Let s = 88 + -86. Solve -2/13*j**s - 2/13*j**3 + 0 + 4/13*j = 0 for j.
-2, 0, 1
Let j be (6/(-48))/(1/(-6)). What is p in j*p - 45/4*p**2 - 21/4*p**4 + 3/2 + 57/4*p**3 = 0?
-2/7, 1
Let f be (13/12)/(2/(-8)) - -5. Solve -f*a + 0 + 2/3*a**2 = 0 for a.
0, 1
Factor 2/7*u**2 + 38/7*u**4 - 2*u**5 - 30/7*u**3 + 0 + 4/7*u.
-2*u*(u - 1)**3*(7*u + 2)/7
Suppose -5*x - 37 = -5*o - 7, 2*o + 4*x = 6. Let s(u) be the third derivative of 1/30*u**o + 0*u - 1/120*u**6 + u**2 - 1/24*u**4 + 0*u**3 + 0. Factor s(g).
-g*(g - 1)**2
Suppose 0 = 4*s + k - 13, 2*s = -2*k - k + 19. Factor -v - 1/2 - 1/2*v**s.
-(v + 1)**2/2
Let o(j) be the first derivative of j**3/2 - 3*j**2/4 + 9. Factor o(k).
3*k*(k - 1)/2
Let i(p) be the second derivative of p**6/180 + p**5/60 + 2*p**3/3 - 5*p. Let t(w) be the second derivative of i(w). Solve t(m) = 0.
-1, 0
Let n = 7 - 5. Let 2*d**2 + 0 + 4*d + 0 - n*d = 0. What is d?
-1, 0
Let s(h) be the first derivative of h**4/10 + 2*h**3/15 - h**2 + 6*h/5 - 34. What is a in s(a) = 0?
-3, 1
Solve 64/5*y + 4/5*y**2 - 164/5*y**3 + 20*y**5 + 16/5 - 4*y**4 = 0.
-1, -2/5, 1
Let y = 25 - 21. Let h = 15 - 11. Let -3*c**y + 4*c**h + 6*c**2 + c**3 + 5*c**3 + 2*c + c**4 = 0. What is c?
-1, 0
Let k(p) be the first derivative of -p**4/7 + 20*p**3/21 - 16*p**2/7 + 16*p/7 + 5. Factor k(w).
-4*(w - 2)**2*(w - 1)/7
Suppose 6 = x + 3*k + 19, 3*x = 2*k + 16. Solve -78 - x*z**3 + 78 - 2*z**2 = 0 for z.
-1, 0
Suppose -4*r + 0*r + 108 = 0. Factor 5*b**2 + 0*b**2 + 1 + r*b - 4*b**2 - 25*b.
(b + 1)**2
Let t(d) = d**2 + d - 1. Let o(m) = 8*m**2 + 13*m - 43. Let s(x) = -o(x) + 3*t(x). Factor s(p).
-5*(p - 2)*(p + 4)
Find v such that -9/4*v**2 + 3/2*v**3 - 3*v + 3 + 3/4*v**4 = 0.
-2, 1
Let z(x) = -500*x**4 - 597*x**3 - 240*x**2 - 35*x - 3. Let n(k) = 500*k**4 + 598*k**3 + 240*k**2 + 34*k + 2. Let i(u) = 3*n(u) + 2*z(u). Factor i(q).
4*q*(5*q + 2)**3
Let y(d) = d - 7 - d + 3*d + d**2. Let b be y(-5). Find v such that 2*v**3 - 3*v**2 - v**4 + 4*v**2 + 2*v**3 + v - 5*v**b = 0.
-1, 0, 1
Find s such that 0*s**2 - 1/2 + 1/4*s**3 - 3/4*s = 0.
-1, 2
Suppose -132*z + 127*z = 2*w - 31, w - 4*z = -17. Factor 3/4*u**2 + 0 - 3/4*u**w + 1/4*u**4 - 1/4*u.
u*(u - 1)**3/4
Let q(n) be the second derivative of -n**3/2 - n**2/2 + 2*n. Let w be q(-1). Factor a + 0 + a + a**w - 3*a**2 + 4.
-2*(a - 2)*(a + 1)
Let l(o) be the second derivative of o**6/50 - 3*o**5/20 + 3*o**4/10 + 2*o**3/5 - 12*o**2/5 + 9*o. Factor l(u).
3*(u - 2)**3*(u + 1)/5
Let u(z) be the second derivative of z**8/1680 + z**7/140 + z**6/30 + z**5/15 - z**3/2 + z. Let j(d) be the second derivative of u(d). Solve j(w) = 0.
-2, 0
Let t(f) = -7*f**3 + 24*f**2 - 101*f + 123. Let a(d) = -10*d**3 + 36*d**2 - 151*d + 185. Let s(z) = -5*a(z) + 7*t(z). Determine u so that s(u) = 0.
4
Let h(m) = -m**2 - m - 1. Let p(i) = i**4 + i**3 - i**2 - i - 1. Let j(q) = -2*h(q) + 2*p(q). Let j(r) = 0. Calculate r.
-1, 0
Let k(m) = -17*m**2 + 8*m + 9. Let v(s) = -8*s**2 + 4*s - 3. Let c(f) = -4*f**2 + 2*f - 1. Let p(t) = 7*c(t) - 3*v(t). Let d(u) = 2*k(u) - 9*p(u). Factor d(o).
2*o*(o - 1)
Let r be -5 + (6 + -3)/(-1). Let d be r/28 + 16/14. Determine n so that -4/7*n**3 + d*n**4 - 2/7 - 2/7*n**5 - 4/7*n**2 + 6/7*n = 0.
-1, 1
Let s(b) be the second derivative of -b**5/10 - b**4/6 + b**3/3 + b**2 + b. Let s(n) = 0. What is n?
-1, 1
Let q(z) be the third derivative of 0*z**3 + 0 + 0*z**4 - 1/60*z**6 + 1/168*z**8 + 0*z + 1/30*z**5 - 1/105*z**7 - 3*z**2. What is a in q(a) = 0?
-1, 0, 1
Suppose -2*y + 24 = -4*y. Let v = y + 15. Solve 2/5 - 4/5*k**v - 8/5*k + 2*k**2 = 0.
1/2, 1
Let h(j) be the first derivative of -j**7/1260 - j**6/135 - j**5/45 - 2*j**3/3 + 9. Let i(l) be the third derivative of h(l). Determine q, given that i(q) = 0.
-2, 0
Let l(h) = h**5 - h**4 - h**3 + h**2 + 1. Let w(u) = -5*u**5 + 19*u**4 + 3*u**3 - 23*u**2 + 2*u - 7. Let b(d) = -22*l(d) - 2*w(d). What is c in b(c) = 0?
-1, 2/3, 1
Suppose 3*p + w = 1 + 2, -5*w - 11 = 2*p. Determine h so that p*h + 520*h**2 + h**3 - 522*h**2 - h = 0.
0, 1
Let z(x) be the second derivative of -243*x**5/5 + 54*x**4 - 24*x**3 + 16*x**2/3 - 14*x. Factor z(u).
-4*(9*u - 2)**3/3
Factor -142*f**2 - 242/3*f**4 + 572/3*f**3 - 8/3 + 104/3*f.
-2*(f - 1)**2*(11*f - 2)**2/3
Let g(r) be the first derivative of -r**8/140 + 9*r**7/280 - r**6/20 + r**5/40 - 4*r**3/3 - 1. Let x(s) be the third derivative of g(s). Factor x(v).
-3*v*(v - 1)**2*(4*v - 1)
Find b, given that 6/5*b**3 + 14/5*b**5 + 4/5*b**2 - 24/5*b**4 + 0 + 0*b = 0.
-2/7, 0, 1
Let 1973*f**2 - 4 - 7*f + f - 1975*f**2 = 0. What is f?
-2, -1
Factor -8*v - 12*v**2 + 0*v + 0*v - 4*v**3.
-4*v*(v + 1)*(v + 2)
Let f = 6 + 0. Let j(o) = -3*o**2 - o + 2. Let i(s) = -s**2 - 1. Let v(n) = f*i(n) + 3*j(n). Let v(r) = 0. Calculate r.
-1/5, 0
Let o be 2 + (16 - 1) - 3. Suppose 4*n = 2*w + o, -4*w + w = -2*n + 17. Factor 12*c - 3*c + n - 9*c - c**2.
-(c - 1)*(c + 1)
Let f be (-28 - -26)/(-2 - -1). Solve 0 + 0*r + 4/5*r**f + 2/5*r**3 = 0.
-2, 0
Solve 10/3*o**4 + 0 + 2*o**3 - 4/3*o**2 + 0*o = 0.
-1, 0, 2/5
Suppose 11 = 3*u - 4. Suppose 5*h + 10 = u*q, 2*h + 5*q - 12 - 12 = 0. Suppose 2*c - 6*c + 3*c - 2*c**h - c**3 = 0. What is c?
-1, 0
Let b(y) = 5*y - 8. Let g be b(6). Suppose -c = -2*j, j - 3*c - g = -8*c. Solve 12*w**3 - 5*w + j - 2*w**3 - 2*w**5 - 4*w**2 - 3*w**5 + 2*w**4 = 0 for w.
-1, 2/5, 1
Factor -1/9*y - 1/9*y**2 + 2/9.
-(y - 1)*(y + 2)/9
Suppose -1/2*p + 0 + 1/2*p**4 - 1/2*p**2 + 1/2*p**3 = 0. Calculate p.
-1, 0, 1
Let m = -25 - -29. Let t(p) be the third derivative of 0*p + 7/60*p**5 - 5/24*p**m - 1/3*p**3 + 0 - 2*p**2. Factor t(x).
(x - 1)*(7*x + 2)
Let m be (-3 + 3)/(1/1). What is l in -l**2 - 2 + l + 4 + m*l + 0 = 0?
-1, 2
Suppose -a - 36 = -4*a - 3*c, 0 = -5*a - 4*c + 60. Suppose -7*s = -3*s - a. Suppose 0*x**s + x**3 + 0*x - x = 0. Calculate x.
-1, 0, 1
Let d(p) be the first derivative of p**4/26 + 2*p**3/39 + 2. Factor d(f).
2*f**2*(f + 1)/13
Let s be (-2)/7 + (-40)/(-42). Let p be 7/14 + ((-75)/18)/(-5). Factor 2*a**3 - p + s*a**4 + 2/3*a**2 - 2*a.
2*(a - 1)*(a + 1)**2*(a + 2)/3
Let w = 242/7 - 34. Suppose -18/7*z**2 + 0 + 20/7*z**3 + w*z = 0. Calculate z.
0, 2/5, 1/2
Let y be (8/5)/((-4)/(-10)). Factor 4*z**4 - 2*z + 2*z**3 - 2*z**y - 2*z**2 + 0*z**3 + 0*z**2.
2*z*(z - 1)*(z + 1)**2
Let l = -239/3 - -80. Factor l*w**2 + 2/3*w + 0.
w*(w + 2)/3
Let t be (-9)/(-27) - (43 - 1). Let a = 42 + t. Suppose 1/3*b**2 + a - 2/3*b = 0. What is b?
1
Let i = 53 + -38. Let y = -15 + 15. Factor -6*q**3 + y*q**4 + 2*q - 5*q**4 + i*q**4 - 4*q**5 - 2*q**2.
-2*q*(q - 1)**3*(2*q + 1)
Let p be 3 - (-2)/((-2)/3). Suppose p = k + 4*k. Factor 2/3*u**3 + 0 - 2/3*u**2 + k*u.
2*u**2*(u - 1)/3
Let p(n) = 11*n**3 + 25*n**2 + 4*n. Let s(x) = -12*x**3 - 24*x**2 - 4*x. Let q(j) = 4*p(j) + 5*s(j). Let q(d) = 0. What is d?
-1, -1/4, 0
Suppose 2*m + 1 - 13 = 0. Suppose q + 10 = m*q. Let -w**4 + 3*w + w**q - 5*w + 2*w = 0. Calculate w.
-1, 0, 1
Suppose -12*h - 98 = -134. Suppose -4 - 2*o - 3/2*o**h + 5*o**2 = 0. What is o?
-2/3, 2
Suppose 0 = 4*v + 3*x + 9, -5*v - 3*x - 1 - 8 = 0. Factor -2 - 10*p**2 - p**5 - 10*p**4 - 20*p**3 - 10*p - p**5 - 10*p**2 + v*p**5.
-2*(p + 1)**5
Let x(i) be the first derivative of i**3/9 + i**2/6 - 2*i/3 - 15. Factor x(c).
(c - 1)*(c + 2)/3
Let r(f) be the first derivative of f**5/10 + f**4/2 + f**3 + f**2 + 4*f - 2. Let k(x) be the first derivative of r(x). Factor k(w).
2*(w + 1)**3
Let z(g) be the first derivative of -g**5/5 + g**4/3 + 2*g**3/9 - 2*g**2/3 + g/3 - 10. Solve z(y) = 0 for y.
-1, 1/3, 1
Let a(h) = 10*h**3 + 21*h**2 - 2. Let s(u) = -30*u**3 - 63*u**2 + 5. Let l(q) = 7*a(q) + 2*s(q). Determine w so that l(w) = 0.
-2, -1/2, 2/5
Let k be 4 + ((-12)/(-10))/(9/(-27)). Factor 16/5*c**2 - 8/5*c + k*c**4 - 2*c**3 + 0.
2*c*(c - 2)**2*(c - 1)/5
Let n(b) = b + 6. Let q be n(0). Let k(u) be the second derivative of -1/3*u**3 + 1/2*u**2 + 3*u + 0 + 0*u**4 + 1/10*u**5 - 1/30*u**q. Factor k(p).
-(p - 1)**3*(p + 1)
Suppose w - a - 12 = a, 5*w = -3*a + 8. Let r(q) be the first derivative of 0*q**3 - 1 - 1/16*q**w + 1/8*q**2 + 0*q. Solve r(c) = 0.
-1, 0