. Determine q, given that g(q) = 0.
-1/4, 0, 1, 2
Let l = 3313/36 - 361/4. Find c, given that 0 + 4/9*c**2 - 2/3*c**5 + l*c**4 - 14/9*c**3 + 0*c = 0.
0, 2/3, 1
Let l(n) = 12*n**4 + 10*n**3 - 2*n**2 - 6*n - 2. Let d(b) = -13*b**4 - 10*b**3 + b**2 + 5*b + 2. Let w(r) = 4*d(r) + 5*l(r). Factor w(k).
2*(k - 1)*(k + 1)**2*(4*k + 1)
Factor -6/7*c**3 + 0*c + 3/7*c**5 + 0*c**2 + 0 + 3/7*c**4.
3*c**3*(c - 1)*(c + 2)/7
Suppose 0*s + 4*s = -g + 234, 0 = -4*s + 5*g + 246. Factor f - s*f**2 + 5*f + 61*f**2.
2*f*(f + 3)
Find i such that 3/4*i**2 + 3*i + 3 = 0.
-2
Let t(n) be the first derivative of -196*n**6/15 + 126*n**5/25 + 6*n**4/5 - 8*n**3/15 + 3. Let t(r) = 0. Calculate r.
-1/4, 0, 2/7
Let j(t) be the third derivative of t**5/60 - t**4/12 + t**3/6 + 6*t**2. Factor j(c).
(c - 1)**2
Solve -1/6*n**2 - 1/2*n**4 + 0 + 0*n + 1/6*n**5 + 1/2*n**3 = 0 for n.
0, 1
Let b(x) = 6*x**2 + 4*x + 5. Let a(k) = -k**2 - k - 1. Let u(g) = -10*a(g) - 2*b(g). Factor u(m).
-2*m*(m - 1)
Let s(v) be the third derivative of -v**9/75600 + v**7/12600 + v**4/12 + 6*v**2. Let i(o) be the second derivative of s(o). Factor i(x).
-x**2*(x - 1)*(x + 1)/5
Let b = 7 - 5. Suppose k**2 - b*k - k + 0*k**2 = 0. What is k?
0, 3
Let t be 5/((-15)/(-6)) + 1. Let j(m) = m**2 + m - 4. Let x be j(-3). Determine o so that 9*o**x + o**2 - 1 - t - 6*o = 0.
-2/5, 1
Let j(h) be the first derivative of h**6/3 + 4*h**5/5 - 4*h**3/3 - h**2 + 8. Let j(f) = 0. What is f?
-1, 0, 1
Let i(d) be the second derivative of 7*d**7/5 + 406*d**6/75 - 709*d**5/50 + 16*d**4/5 + 76*d**3/15 - 16*d**2/5 + 12*d. Let i(a) = 0. Calculate a.
-4, -1/3, 2/7, 1
Let z be (2/(-6))/((-3)/27). Determine j, given that 4*j**3 - 3*j**3 + 2*j - z*j**2 + 0 + 0 = 0.
0, 1, 2
Suppose 2*x = 7*x + 4*r - 10, -3*r - 10 = -5*x. Determine u, given that 2*u**x + 1 + 1 - 4*u**2 = 0.
-1, 1
Let m be (2 - 0)*40/(-50)*-7. Determine w so that 0 + 8/5*w**2 + m*w**3 + 98/5*w**4 + 0*w = 0.
-2/7, 0
Let j(x) be the second derivative of x**4/3 - 2*x**3/3 - 4*x**2 - x. Factor j(c).
4*(c - 2)*(c + 1)
Let d be (10/(-8))/((-1)/4). Suppose 0 = 2*m + 1 - d. Factor 2*x**3 - x - x**4 - x**5 + 2*x**m + 1 + 0*x - 2.
-(x - 1)**2*(x + 1)**3
Let f = 312/755 - 2/151. Find s, given that 3/5*s**3 + 0 + 0*s - 12/5*s**4 + f*s**2 + 7/5*s**5 = 0.
-2/7, 0, 1
Factor 6/5 + 3/5*k**2 + 9/5*k.
3*(k + 1)*(k + 2)/5
Factor 22/5*x**4 + 146/5*x**2 + 2/5*x**5 + 86/5*x**3 + 32/5 + 112/5*x.
2*(x + 1)**3*(x + 4)**2/5
Let n(k) = k**3 - 3*k. Let c(w) = w**3. Let a(h) = 2*c(h) + n(h). Factor a(y).
3*y*(y - 1)*(y + 1)
Suppose s - 21 = 12. Let d be -4 - s/(-30)*4. Factor 0*q**2 + d*q**3 + 0*q + 0.
2*q**3/5
Factor -7/3*z**2 - z + 4/3.
-(z + 1)*(7*z - 4)/3
Suppose -3*b + 2*b = -5*b. Let a(k) be the first derivative of 0*k**2 + 0*k**3 + 1/12*k**4 + b*k + 2 + 2/15*k**5. Let a(y) = 0. What is y?
-1/2, 0
Suppose 4*b = -4*x - 48, -4*x = -5*x + 2*b + 3. Let c be 0*(x/2 - -4). Solve 1/2*j - 1/2*j**3 + c*j**2 + 0 = 0 for j.
-1, 0, 1
Let d = 14 - 9. Suppose l = d*l. Factor 0*j + 1/2*j**2 + 3*j**3 + 6*j**4 + l + 4*j**5.
j**2*(2*j + 1)**3/2
Factor 2/23*h**2 - 4/23*h + 2/23.
2*(h - 1)**2/23
Let l(u) be the second derivative of -1/42*u**4 - 2*u + 0*u**2 + 1/21*u**3 + 0. What is t in l(t) = 0?
0, 1
Determine d so that -4/9*d**3 - 2/9*d + 2/3*d**5 - 8/9*d**4 + 0 + 8/9*d**2 = 0.
-1, 0, 1/3, 1
Let v(o) = -o**3 - 2*o**2 + 8*o + 2. Let x be v(-4). Suppose j + x = 5. Solve 0*p + 1/4*p**2 + 0 + 1/4*p**4 + 1/2*p**j = 0.
-1, 0
Let r(q) be the second derivative of 1/30*q**3 + 0 + 1/150*q**6 - 1/100*q**5 - 3*q - 1/60*q**4 + 0*q**2. Let r(b) = 0. Calculate b.
-1, 0, 1
Let l = -6 + 8. Let o(y) = y**2. Let s be o(-2). Suppose -4 - 3*w - 5*w - s - l*w**2 = 0. What is w?
-2
Let v(i) = 9*i**2 + 8*i - 8. Let f(g) = -7*g**2 - 7*g + 9. Let z(b) = -4*f(b) - 3*v(b). Factor z(s).
(s - 2)*(s + 6)
Let q be (0 - -2)*(-3)/(-2). Let j be q/(6/4) + 0. Factor -5/2*k**4 + k + 5/2*k**j - k**3 + 0.
-k*(k - 1)*(k + 1)*(5*k + 2)/2
Let s(o) be the second derivative of o**6/165 - o**5/110 - o**4/66 + o**3/33 + 3*o. Suppose s(u) = 0. What is u?
-1, 0, 1
Let d be 2/(-7) + 426/21. Suppose 0 = -4*w + d + 4. Factor v**4 + w*v**3 - 4*v**3 + 4*v**3 + 13*v**2 + 12*v + 4.
(v + 1)**2*(v + 2)**2
Let d(c) = -c**3 - c**2 - c + 1. Let o(g) = -4*g**3 + 3*g**2 - 15*g + 11. Suppose -5*p + 6 = 1. Let a(u) = p*o(u) - 3*d(u). Determine f, given that a(f) = 0.
2
Let w(a) be the second derivative of -a**5/50 - a**4/15 + a**3/15 + 2*a**2/5 - 7*a. Factor w(q).
-2*(q - 1)*(q + 1)*(q + 2)/5
Let b(z) be the first derivative of -z**3/12 - z**2/8 - 25. Solve b(d) = 0 for d.
-1, 0
Factor -1/6*s**4 + 0*s + 0*s**3 + 0 + 2/3*s**2.
-s**2*(s - 2)*(s + 2)/6
Let s(w) be the first derivative of -w**8/560 - 3*w**7/280 - w**6/40 - w**5/40 + w**3/3 + 1. Let k(z) be the third derivative of s(z). Factor k(b).
-3*b*(b + 1)**3
Let y be 15/(-10) - (18/(-4) + 3). Find m, given that 0*m + y + 15/2*m**3 - 3/2*m**2 = 0.
0, 1/5
Let g(l) = -l**2 - 3*l + 4. Let d be g(-3). Let a(k) be the second derivative of -2*k + 0*k**2 - 4/3*k**3 - 1/10*k**5 - 2/3*k**d + 0. Factor a(x).
-2*x*(x + 2)**2
Let s(j) = j**2 + 2*j - 6. Let f be s(2). Factor 1/3*m**3 + 0*m + 0 + m**4 + 0*m**f.
m**3*(3*m + 1)/3
Let x(w) be the first derivative of 2*w**3/27 - 8*w**2/9 - 2*w - 3. Factor x(a).
2*(a - 9)*(a + 1)/9
Let q(h) be the first derivative of 9*h**8/56 - 9*h**7/35 + 2*h**5/15 - 3*h**2/2 + 1. Let u(j) be the second derivative of q(j). Suppose u(n) = 0. Calculate n.
-1/3, 0, 2/3
Let w be (-5)/(10/12)*-1. Let h be (-3)/(w/(-8)) + -2. Factor -4*r + 5*r - 2*r**h - 3*r.
-2*r*(r + 1)
Suppose -n + 7*x + 18 = 2*x, 2*x + 6 = 0. Let t(f) be the second derivative of 0 + 0*f**4 + 0*f**2 + 0*f**n + f - 1/10*f**5. Find c, given that t(c) = 0.
0
Factor -2/3*i**2 + 8/3*i - 2.
-2*(i - 3)*(i - 1)/3
Let w(t) be the third derivative of -t**5/12 + 5*t**4/4 - 15*t**3/2 - 13*t**2. Factor w(f).
-5*(f - 3)**2
Let q(f) be the third derivative of f**5/5 + f**4/4 + f**3/8 + 6*f**2. Suppose q(v) = 0. What is v?
-1/4
Let q(h) = -h**2 + h + 6. Let t be q(0). Factor 18*n**2 - 28*n**2 + 2*n**4 + n**5 + n**5 - t*n**3 - 4*n.
2*n*(n - 2)*(n + 1)**3
Let z(s) be the second derivative of s**3/6 + 6*s**2 + 2*s. Let o be z(-7). Factor 2*v**3 - 2*v - 2*v + 3*v - v**o.
-v*(v - 1)**2*(v + 1)**2
Suppose 0 = -2*j + 5*j - 15. Let b(k) = 3*k**3 - 8*k**2 - 4*k. Let u(d) = -5*d**3 + 16*d**2 + 8*d. Let w(z) = j*b(z) + 2*u(z). Factor w(h).
h*(h - 2)*(5*h + 2)
Let z(y) be the first derivative of y**6/8 - 3*y**4/8 + 3*y**2/8 - 1. What is p in z(p) = 0?
-1, 0, 1
Solve 0*q - 2/13*q**2 - 2/13*q**3 + 0 = 0 for q.
-1, 0
Let s(n) be the third derivative of 0*n**6 + 0*n**3 + 0 + 3*n**2 + 0*n - 1/105*n**7 + 1/30*n**5 + 1/24*n**4 - 1/336*n**8. Factor s(b).
-b*(b - 1)*(b + 1)**3
Let c be ((-72)/(-45))/(3/6). Factor -2/5*m - c*m**2 + 0 - 32/5*m**3.
-2*m*(4*m + 1)**2/5
Factor 4/15*h - 6/5*h**2 + 0 + 4/3*h**3.
2*h*(2*h - 1)*(5*h - 2)/15
Let m(h) be the third derivative of h**6/24 + h**5/3 + 25*h**4/24 + 5*h**3/3 - 15*h**2. Find y such that m(y) = 0.
-2, -1
Factor y**2 - 3*y**4 + y**2 + 6*y**3 - 9*y**4 + 4*y**4.
-2*y**2*(y - 1)*(4*y + 1)
Let d = -1 - -2. Factor r**2 + r - d + 3 - 2*r**2 + 0.
-(r - 2)*(r + 1)
Let p(g) be the first derivative of -g**3 - 3*g**2/2 + 18*g + 7. Factor p(v).
-3*(v - 2)*(v + 3)
Let v(a) = -9*a**2 - 9*a + 13. Let d be 1/(2/5)*-2. Let t(j) = -4*j**2 - 4*j + 6. Let k(c) = d*t(c) + 2*v(c). Factor k(n).
2*(n - 1)*(n + 2)
Solve -10/9*l**2 + 4/9*l + 0 + 8/9*l**3 - 2/9*l**4 = 0 for l.
0, 1, 2
Let h(y) be the third derivative of 5*y**8/168 + 11*y**7/42 + 5*y**6/12 - 5*y**5/3 - 5*y**4/2 + 15*y**3/2 - y**2. Find i such that h(i) = 0.
-3, -1, 1/2, 1
Let b = -28 - -31. Suppose b = u - 0, 5*u = -j + 17. Let -1/6*a**j + 0 - 1/3*a = 0. What is a?
-2, 0
Suppose -5*a + 25 = 0, -5*j + 35 = a + 4*a. Let v be 0 + (-2)/(-3)*6. Factor h**v - h**5 - h**4 - h - 2*h**2 + h**4 + 1 + j*h**3.
-(h - 1)**3*(h + 1)**2
Let o(r) = r**3 + 6*r**2 - r - 3. Let z be o(-6). Determine c so that 2*c + 4*c**2 - 4*c - 4*c**z + 2*c**3 = 0.
0, 1
Suppose -z + 1 - 12 = 0. Let i = -9 - z. What is x in 1/5 + 3/5*x**i + 3/5*x + 1/5*x**3 = 0?
-1
Let m(c) be the first derivative of 2*c**5/25 + 3*c**4/10 - 4*c**2/5 + 3. What is j in m(j) = 0?
-2, 0, 1
Let w(s) be the first derivative of 8*s**5/35 + s**4/14 - 