 + 0*z. Determine b so that y(b) = 0.
-1, 0, 1
Suppose 2*y - 4 = 3*y. Let h = y + 6. Find m, given that 16/11 + 12/11*m**h - 40/11*m + 18/11*m**3 = 0.
-2, 2/3
Let g = -12 + 21. Let m be (-3)/(-18) - (-3)/g. Determine q so that -q + m*q**2 + 1/2 = 0.
1
Let g = -228 - -228. Suppose -2/7 + g*m + 2/7*m**2 = 0. What is m?
-1, 1
Solve 1/2*a**2 + 0 + 3/2*a**3 - 1/2*a**4 - a**5 - 1/2*a = 0 for a.
-1, 0, 1/2, 1
Let c = -476 - -1907/4. Determine y, given that -1/4*y**3 - 5/4*y**2 - 7/4*y - c = 0.
-3, -1
Let t(p) = p**2 + 13*p + 19. Let x(f) = 12*f + 20. Let r(a) = -4*t(a) + 3*x(a). Factor r(b).
-4*(b + 2)**2
Suppose -11 = -4*x - 5*l + 29, -l + 10 = x. Solve 4*k**2 - 2*k**4 - 24*k**3 + 2 + 18*k**5 - 4*k**3 - 4*k**4 + x*k = 0 for k.
-1, -1/3, 1
Suppose 4*j - j = 1080. Let i be 2/(-11) + j/891. Determine q so that -i*q**2 + 2/9*q**3 + 2/9*q**4 + 0 + 0*q - 2/9*q**5 = 0.
-1, 0, 1
Factor 1/4*d**3 - 3/4*d**2 + 0*d + 0.
d**2*(d - 3)/4
Suppose 6 = 10*j - 7*j. Find u such that -2/5*u**j - u + 4/5*u**3 + 1/5*u**5 + 4/5*u**4 - 2/5 = 0.
-2, -1, 1
Let f be (9/(-5))/((-4)/(-5)) - -3. Factor 0 + f*y + 3/8*y**2.
3*y*(y + 2)/8
Let 2*p**3 - 3 + 3 - 12*p**2 - 18*p - 4*p**3 = 0. What is p?
-3, 0
Suppose -2 + 14 = 3*v. Suppose -3*j + v*s + 12 = 0, 5*s = -4*j - 20 + 5. Determine u so that -4/13*u**3 + 0*u**2 + j + 0*u + 14/13*u**4 = 0.
0, 2/7
Let d(m) be the second derivative of 0*m**2 - 1/30*m**5 + 4*m - 1/9*m**4 + 0*m**3 + 0. Solve d(l) = 0.
-2, 0
Factor z**3 - 4*z**3 + 2*z**2 + 4*z**3.
z**2*(z + 2)
Let l(g) be the third derivative of g**8/1008 - 11*g**7/630 + g**6/36 + 53*g**5/90 + 133*g**4/72 + 49*g**3/18 - 2*g**2 - 18. Suppose l(v) = 0. Calculate v.
-1, 7
Suppose 4*h = -3*b + 22, b = -b - 3*h + 16. Factor 2*m**5 - 2*m**3 - 7*m**4 + 0*m**5 - b*m**2 + 9*m**4.
2*m**2*(m - 1)*(m + 1)**2
Suppose -1 + 14*y**3 + 22*y**2 - 3*y**2 + 2*y - 7*y**2 + 5*y**4 = 0. Calculate y.
-1, 1/5
Determine x so that 3*x**3 + 2*x**3 - 9*x**5 + 10*x**4 + 14*x**5 = 0.
-1, 0
Suppose 0 + 10/7*u**2 + 2/7*u**4 - 4/7*u - 8/7*u**3 = 0. What is u?
0, 1, 2
Solve -4 - 17/2*d**3 + 5/2*d**4 + 3*d**2 + 10*d = 0 for d.
-1, 2/5, 2
Let u(h) = 3*h**2 - 9*h - 3. Let i(g) = -4*g**2 + 13*g + 4. Let o(p) = 5*i(p) + 7*u(p). Let x be o(1). Factor -x*z**2 - 4 + 1 + 5.
-2*(z - 1)*(z + 1)
Let r(s) = -s**2 - 5*s - 4. Let c be r(-3). Suppose c*u - 10 = -3*u. Suppose 8*a**4 - 2*a + u + 0*a**2 + 24*a**3 + 0*a**2 + 26*a**2 + 14*a = 0. What is a?
-1, -1/2
Let k(c) be the second derivative of 1/30*c**5 + 1/90*c**6 + 0*c**4 - 1/6*c**2 + 2*c + 0 - 1/9*c**3. Factor k(f).
(f - 1)*(f + 1)**3/3
Let f = 16 + -11. Let o(w) = -w**4 - w**3 - w**2 + 9*w + 4. Let q(i) = i**4 + 2*i**3 - 10*i - 5. Let t(z) = f*q(z) + 6*o(z). Factor t(j).
-(j - 1)**4
Factor -2/9*b + 2/9*b**5 + 4/9*b**4 + 0*b**3 - 4/9*b**2 + 0.
2*b*(b - 1)*(b + 1)**3/9
Let n(w) be the second derivative of w**5/5 + w**4 + 4*w**3/3 - 20*w. Factor n(o).
4*o*(o + 1)*(o + 2)
Let k = 1/133 + 793/665. Factor 4/5*x**3 - 2/5*x**4 - 8/5*x - 8/5 + k*x**2.
-2*(x - 2)**2*(x + 1)**2/5
Let x = 452 + -449. Let -2*n - 2/3 - 2/3*n**x - 2*n**2 = 0. Calculate n.
-1
Let 30/13*q**2 - 4/13*q + 42/13*q**4 + 0 - 68/13*q**3 = 0. Calculate q.
0, 2/7, 1/3, 1
Let c(t) = t**5 + 3*t**4 - 3*t**2 + 4*t. Let m = 53 - 48. Let w(i) = -2*i**2 + i**5 + 3*i**4 + 0*i**2 + 3*i - i**4. Let g(f) = m*w(f) - 4*c(f). Factor g(l).
l*(l - 1)**3*(l + 1)
Factor -n + 1/4*n**4 + 3/4*n**2 - 1 + n**3.
(n - 1)*(n + 1)*(n + 2)**2/4
Let w = 1/63 - -53/630. Let j(i) be the second derivative of w*i**6 - 3/20*i**5 + 1/12*i**4 + 0 + 0*i**3 - 4*i + 0*i**2 - 1/42*i**7. What is t in j(t) = 0?
0, 1
Let 3*a**2 - 2*a - 121*a**3 + 8*a - 3*a**4 + 115*a**3 = 0. Calculate a.
-2, -1, 0, 1
Let t(v) be the second derivative of v**7/3780 - v**6/810 + v**5/540 - v**3/6 + 3*v. Let q(h) be the second derivative of t(h). Factor q(p).
2*p*(p - 1)**2/9
Let y(k) be the second derivative of 0*k**2 - 1/30*k**4 + 0*k**3 + 0 - 1/25*k**6 - 1/105*k**7 + 2*k - 3/50*k**5. Find c, given that y(c) = 0.
-1, 0
Find y such that 24/5*y - 16/5 - 12/5*y**2 + 2/5*y**3 = 0.
2
Let m(u) = u**2. Let k(g) = 7*g**2 - 2*g + 8. Let q(c) = k(c) + m(c). Let p(x) = -23*x**2 + 5*x - 23. Let s(o) = 6*p(o) + 17*q(o). Let s(w) = 0. What is w?
-1
Suppose -4*s + 15 = -3*d - 9, -2*d + 6 = s. Let r be s/(-8) + (-3)/(-4). Factor 5/2*a**3 + a**2 + 0*a + r.
a**2*(5*a + 2)/2
Let o(v) be the first derivative of 6*v**5/85 - 10*v**4/17 + 18*v**3/17 - 10*v**2/17 + 44. Let o(q) = 0. Calculate q.
0, 2/3, 1, 5
Suppose o - 3*o = -6. Let f(i) be the second derivative of 1/54*i**4 + i + 0 + 1/27*i**o + 0*i**2. Factor f(w).
2*w*(w + 1)/9
Let i = -10995/77 + 1011/7. Find t, given that -8/11*t**2 - 36/11*t**3 + 18/11*t**5 + 4/11 + i*t + 4/11*t**4 = 0.
-1, -2/9, 1
Factor -6*w**4 + 3*w**5 + 32*w**2 - 3*w**4 + 62*w + w - 18*w**3 - 2*w**2 + 27.
3*(w - 3)**2*(w + 1)**3
Let c(g) be the second derivative of g**3 + 0*g**2 + 0 - 3/20*g**5 + 3*g + 1/4*g**4. Factor c(s).
-3*s*(s - 2)*(s + 1)
Let x(d) be the first derivative of 2*d**5/25 + 3*d**4/5 + 26*d**3/15 + 12*d**2/5 + 8*d/5 - 17. Solve x(t) = 0.
-2, -1
Let p(v) = v**4 - v**3 + v**2 + 1. Let u(f) = -11*f**4 + 13*f**3 - 11*f**2 - 9. Let z(h) = 18*p(h) + 2*u(h). Factor z(y).
-4*y**2*(y - 1)**2
Let o(v) be the third derivative of v**7/42 + v**6/12 - v**5/12 - 5*v**4/12 + 36*v**2. Let o(h) = 0. Calculate h.
-2, -1, 0, 1
Let d(m) be the third derivative of -2/3*m**3 + 0*m - m**2 + 0 - 1/20*m**6 + 2/15*m**5 + 1/12*m**4. Factor d(f).
-2*(f - 1)**2*(3*f + 2)
Let r(w) be the first derivative of -w**5 + 5*w**3/3 - 11. Solve r(t) = 0 for t.
-1, 0, 1
Find q such that -7*q**2 + 6*q**4 + 7*q**2 - 4*q**2 - 2*q**4 = 0.
-1, 0, 1
Suppose -5*j + 9 + 1 = 0. Let d be j/(((-8)/6)/(-2)). Factor -4*c - 2*c**2 - d + 5*c + 4.
-(c - 1)*(2*c + 1)
Factor -9/4*s**2 + 0*s**3 + 3/4*s**4 + 0 + 3/2*s.
3*s*(s - 1)**2*(s + 2)/4
Suppose y + 2 - 6 = 0. Let f(u) be the third derivative of -1/120*u**5 - u**2 + 0*u + 0 - 1/12*u**y - 1/3*u**3. Factor f(x).
-(x + 2)**2/2
Let w(n) be the first derivative of 6 + 0*n**2 + 0*n - 2/3*n**3. Factor w(q).
-2*q**2
Let p = -11/2 - -301/54. Let r = p - -98/135. Factor 0*k**3 - 2/5*k + 4/5*k**2 + 2/5*k**5 + 0 - r*k**4.
2*k*(k - 1)**3*(k + 1)/5
Factor 9/8 + 3/2*v**3 + 33/8*v**2 + 15/4*v.
3*(v + 1)**2*(4*v + 3)/8
What is x in -x**3 - 6*x + 6*x**3 - 3*x**3 + 21*x**2 - 12*x**4 + 13*x**3 = 0?
-1, 0, 1/4, 2
Let x(m) be the first derivative of -1/15*m**3 + 2/5*m**2 - 3/5*m - 10. Factor x(b).
-(b - 3)*(b - 1)/5
Factor 2*i - i - i**3 - 2 + 2*i.
-(i - 1)**2*(i + 2)
Let w be 19/10 + 0 - 3/2. Suppose -2/5*q**2 - w + 4/5*q = 0. What is q?
1
Let r(v) be the third derivative of v**4/12 - v**3/3 - 5*v**2. Let m be r(2). Factor 0*n**m + 0*n**4 + 2/5*n - 4/5*n**3 + 0 + 2/5*n**5.
2*n*(n - 1)**2*(n + 1)**2/5
Let u(b) = -b**3 + 13*b**2 - 15*b + 39. Let l be u(12). Solve 0 + 0*k - k**2 - 5/2*k**l + 7/2*k**4 = 0.
-2/7, 0, 1
Let v be 836/(-840) - 3/(-3). Let w(t) be the third derivative of 0*t**3 + 0*t + 1/210*t**5 - t**2 + 0 + 1/84*t**4 - v*t**6. Let w(j) = 0. Calculate j.
-1/2, 0, 1
Let j be (-22)/11*4/(-2). What is s in 3*s**3 + 2*s + 2*s**5 - 5*s**3 + s**j - 4*s**3 - 2*s**4 - s**2 = 0?
-1, 0, 1/2, 2
Let h(i) be the third derivative of i**5/15 + i**4/6 - 14*i**2. Suppose h(m) = 0. Calculate m.
-1, 0
Let b(l) be the first derivative of 14/5*l**5 - 7 + 9/2*l**4 + 2/3*l**6 + l**2 + 0*l + 10/3*l**3. Factor b(s).
2*s*(s + 1)**3*(2*s + 1)
Let h be (6/8)/(18/16). Suppose -10*x + 9*x + 3 = 0. Factor x*s**2 - h*s + 0 - 7/3*s**3.
-s*(s - 1)*(7*s - 2)/3
Find y, given that -2 + 0*y**2 + 2*y**2 + 2 = 0.
0
Let h(x) be the first derivative of -x**5/300 - x**4/60 + 3*x**2/2 - 4. Let l(b) be the second derivative of h(b). Factor l(s).
-s*(s + 2)/5
Let u(x) be the third derivative of x**7/70 - x**6/10 + x**5/4 - x**4/4 + 5*x**2. Factor u(b).
3*b*(b - 2)*(b - 1)**2
Factor -49/3 + 14/3*g - 1/3*g**2.
-(g - 7)**2/3
Let p be 20 + 0*(-3)/(-9). Suppose -5*h = p, -n + 3*n = 4*h + 22. Suppose -k + 0*k - 5*k**n + 3*k**2 + 3*k = 0. What is k?
-2/5, 0, 1
Let r be 15/((-300)/8)*(-2)/2. Factor -2/5*q**3 + 0 - r*q + 4/5*q**2.
-2*q*(q - 1)**2/5
Let p(k) be the first derivative of -5/6*k**3 - 9/8*k**4 + 1/2*k**2 + 7 + 7/12*k**6 + 1/2*k**5 + 0*k. Determine b so that p(b) = 0.
-1, 0, 2/7, 1
Let o(f) be the first derivative 