**2 + 2*c + 2. Let m be i(-1). Let a be s(m). Suppose 0 + 12/7*v**3 - 2/7*v**2 - 18/7*v**a + 0*v = 0. What is v?
0, 1/3
Let b be -2*15/40*-4. Factor 0 - h**b - h**2 - 1/3*h - 1/3*h**4.
-h*(h + 1)**3/3
Factor 0*b**3 + 0*b - 2/11*b**4 + 2/11*b**2 + 0.
-2*b**2*(b - 1)*(b + 1)/11
Let v(f) = -3*f**3 - 11*f**2 - f - 5. Let c(x) = 4*x**3 + 12*x**2 + 2*x + 6. Let y(g) = -5*c(g) - 6*v(g). Factor y(a).
-2*a*(a - 2)*(a - 1)
Let l = 27 - 25. Suppose -5*h = -l*h - 6. Solve -1/2*s**3 + 0 + 1/2*s**h + s = 0.
-1, 0, 2
Let t(n) be the third derivative of 1/12*n**4 + 0 + 4/105*n**7 + 1/5*n**5 + 0*n**3 + 0*n + 3/20*n**6 - 3*n**2. Factor t(g).
2*g*(g + 1)**2*(4*g + 1)
Let k(w) = w**3 + 44*w**2 + 44*w - 8. Let p(h) = -15*h**2 - 15*h + 3. Let q(z) = -3*k(z) - 8*p(z). Determine l, given that q(l) = 0.
-2, 0
Let t = 4 + -2. Factor -3*o**t - 6*o**3 + 0*o**3 + 4*o**4 - o**2.
2*o**2*(o - 2)*(2*o + 1)
Let z = -19 - -21. Let g(w) be the second derivative of 1/63*w**7 + 0*w**z + 0 + 0*w**6 - 2*w + 0*w**4 + 1/9*w**3 - 1/15*w**5. Factor g(v).
2*v*(v - 1)**2*(v + 1)**2/3
Let l(h) be the third derivative of h**5/300 - 7*h**4/120 - 12*h**2. Factor l(b).
b*(b - 7)/5
Let h(m) = -5*m**2 - 5*m + 35. Let j(t) = -t**2 - t + 6. Let x(w) = 6*h(w) - 35*j(w). Solve x(c) = 0.
-1, 0
Solve -5/9 - 4/9*l**3 - 5/3*l**2 + 8/3*l = 0 for l.
-5, 1/4, 1
Let -2/7*k - 2/7 + 2/7*k**3 + 2/7*k**2 = 0. Calculate k.
-1, 1
Let c(f) be the third derivative of -1/35*f**5 + 1/21*f**4 + 1/105*f**6 + 0 + 0*f + 4*f**2 - 1/21*f**3 - 1/735*f**7. Factor c(k).
-2*(k - 1)**4/7
Suppose 0 = -4*t - 5*i, 5*t - 9 = -i + 12. Determine r, given that 2*r**2 - 10*r**2 - 195*r**4 - 4*r**2 + 261*r**t - 111*r**5 + 84*r**3 = 0.
0, 2/5, 1/2
Let u be (-1 - 2) + (-2 - -5). Let b be ((-20)/420)/((-2)/12). Factor 6/7*m**2 + u + b*m**3 + 4/7*m.
2*m*(m + 1)*(m + 2)/7
What is z in -23*z + 35*z**2 - 64 - 8*z**3 + 25*z**2 - 73*z = 0?
-1/2, 4
Let o(r) be the first derivative of r**4/18 + 2*r**3/9 + 2*r**2/9 + 19. Factor o(s).
2*s*(s + 1)*(s + 2)/9
Let a(q) be the second derivative of -16/3*q**3 - 32*q**2 + 0 - 1/3*q**4 + 10*q. Factor a(k).
-4*(k + 4)**2
Let r(n) be the third derivative of n**6/100 + n**5/30 - 11*n**4/60 + n**3/5 - 4*n**2. Factor r(c).
2*(c - 1)*(c + 3)*(3*c - 1)/5
Let l(f) be the second derivative of f**5/110 - f**3/11 + 2*f**2/11 + 10*f. Factor l(n).
2*(n - 1)**2*(n + 2)/11
Determine o, given that -4*o**4 - 12 + 12*o**2 + 0*o - 8*o + 4*o**2 + 8*o**3 = 0.
-1, 1, 3
Let v(j) = 5*j**2 - 11*j + 5. Let u(s) = 2 + 4 - 2 + s - 3. Let d(p) = 3*u(p) - 3*v(p). Factor d(h).
-3*(h - 2)*(5*h - 2)
Find f, given that 4/5 + 4/5*f + 1/5*f**4 - 2/5*f**3 - 3/5*f**2 = 0.
-1, 2
Let r(y) be the third derivative of -y**5/90 + y**3/9 + 9*y**2. Factor r(u).
-2*(u - 1)*(u + 1)/3
Let d(j) = 4*j**5 - j**4 - 17*j**3 - 20*j**2 - 3*j. Let w(q) = q**4 + q**3 - q. Let n(x) = d(x) + 5*w(x). Determine r so that n(r) = 0.
-1, 0, 2
Let t = -164 - -166. Find j, given that 6*j - 9/2*j**t - 3/2 = 0.
1/3, 1
Let s = -8 - -17. Suppose s = 4*l - h, -h + 3*h + 2 = 0. Find w such that -8/5 - 6/5*w**l - 16/5*w = 0.
-2, -2/3
Let o = -39 - -67. Suppose 13*q**3 - o*q**2 - q**3 - 36 + 60*q - 2*q**3 - 6*q**3 = 0. Calculate q.
1, 3
Let h(y) be the first derivative of y**4/2 + 4*y**3 + 12*y**2 + 16*y - 1. Factor h(c).
2*(c + 2)**3
Factor 12*w**4 + 0*w**4 + 14*w**3 + 7*w**5 - 3*w**5 - 6*w**3.
4*w**3*(w + 1)*(w + 2)
Factor -16/3*z**3 - 4/3*z + 0 + 20/3*z**2.
-4*z*(z - 1)*(4*z - 1)/3
Let l(q) be the third derivative of 1/60*q**4 - 2/15*q**3 + 0*q + 1/75*q**5 + 5*q**2 + 0 - 1/300*q**6. Factor l(w).
-2*(w - 2)*(w - 1)*(w + 1)/5
Solve 3/4*z + 0*z**3 + 3/2*z**4 - 3/4*z**5 - 3/2*z**2 + 0 = 0.
-1, 0, 1
Let f(p) = 29*p**4 - 6*p**3 - 30*p**2 + 6*p + 1. Let z(k) = 5*k**4 - k**3 - 5*k**2 + k. Let x(j) = 6*f(j) - 34*z(j). Determine t, given that x(t) = 0.
-1, 1, 3/2
Let r(p) be the third derivative of -5*p**2 - 1/210*p**7 - 1/120*p**6 + 0*p + 0 + 1/60*p**5 + 0*p**3 + 1/24*p**4. Find k, given that r(k) = 0.
-1, 0, 1
Let g be ((-1)/(-3))/((-3)/10). Let j = g - -13/9. Factor 1/3*y**3 + 0*y + 0 - j*y**2.
y**2*(y - 1)/3
Let j(o) = -5*o**4 + o**3 + 15*o**2 - 5*o - 6. Let h(m) = m**3 - 1. Let l(q) = 4*h(q) + j(q). Factor l(x).
-5*(x - 2)*(x - 1)*(x + 1)**2
Let q(p) be the first derivative of p**5/20 - p**4/8 - 5*p**2/2 - 3. Let c(i) be the second derivative of q(i). Factor c(u).
3*u*(u - 1)
Let v = 5 + -3. Let z be 15/9 - v/(-6). Suppose -2*s**3 + z*s**4 - s**4 + s + s - 1 = 0. Calculate s.
-1, 1
Factor -11/2*h**2 + 2*h**3 + 0 - 3/2*h.
h*(h - 3)*(4*h + 1)/2
Let g(x) be the first derivative of -3*x**4/8 - 30*x**3 - 900*x**2 - 12000*x - 34. Solve g(m) = 0.
-20
Determine o, given that -12 + 10*o**4 - 2*o**4 + 11*o**3 - 12*o - 5*o**4 + 9*o**2 + o**3 = 0.
-2, -1, 1
Let d(z) be the third derivative of 1/240*z**5 + 1/24*z**4 - 3*z**2 + 0 + 0*z + 1/6*z**3. Factor d(x).
(x + 2)**2/4
Factor -1/3*h**3 + 0 - 1/3*h**2 + 0*h.
-h**2*(h + 1)/3
Let o(j) be the second derivative of -1/10*j**5 + 1/6*j**4 - 9*j + 0*j**2 + 0 - 1/9*j**3 + 1/45*j**6. Solve o(i) = 0.
0, 1
Let c = -30 + 35. Let y(x) be the first derivative of 1 + 1/9*x**2 + 0*x - 2/45*x**c + 2/27*x**3 - 1/18*x**4. What is p in y(p) = 0?
-1, 0, 1
Let x be 3/12 - 4010/(-24). Let h = x - 166. Factor h*k**2 + 0 + 2/3*k**3 + 2/3*k.
2*k*(k + 1)**2/3
Let f(w) be the third derivative of -8*w**2 + 0*w + 0 + 1/42*w**5 - 1/42*w**4 + 0*w**3. Factor f(j).
2*j*(5*j - 2)/7
Let a = -27 + 32. Let u(q) be the first derivative of 1 + 1/24*q**6 - 1/10*q**a + 0*q + 0*q**3 + 0*q**2 + 1/16*q**4. Factor u(s).
s**3*(s - 1)**2/4
Let g be 2 + 1 - (-4)/(-6). Suppose -3*y - 8 = -r + 12, 4*r - 15 = -y. Factor -g*i**4 + 19/3*i**3 - r*i**2 + 2/3 + 1/3*i.
-(i - 1)**3*(7*i + 2)/3
Factor -2/5*s**3 + 0*s + 0 + 2/5*s**2.
-2*s**2*(s - 1)/5
Let j(q) be the third derivative of -q**7/70 - q**6/10 - q**5/4 - q**4/4 + 10*q**2. What is w in j(w) = 0?
-2, -1, 0
Let a(s) be the second derivative of 5*s**6/6 + 9*s**5/4 - 85*s**4/12 + 5*s**3/2 - 15*s - 1. Determine l so that a(l) = 0.
-3, 0, 1/5, 1
Let q(s) be the first derivative of -4*s**5/5 - 2*s**4 + 4*s**2 + 4*s + 5. Factor q(m).
-4*(m - 1)*(m + 1)**3
Let m = -640 + 642. Factor -7/5*k**3 + 0 - 2/5*k**m + 0*k + 9/5*k**4.
k**2*(k - 1)*(9*k + 2)/5
Let u be (-1)/2*(-1 + 1)/2. Let j(b) be the second derivative of -b - 1/18*b**4 + u + 0*b**2 + 1/9*b**3. Factor j(y).
-2*y*(y - 1)/3
Let f(z) be the third derivative of z**6/30 + z**5/5 - z**4/6 - 2*z**3 + 13*z**2. Factor f(j).
4*(j - 1)*(j + 1)*(j + 3)
Let j(l) = l**2 - 5*l - 8. Let y be j(6). Let q be (-16)/(-40)*(-10)/y. Find o, given that 1/3*o - o**q + 2/3*o**3 + 0 = 0.
0, 1/2, 1
Solve -11*u + 2*u + 2*u**2 + 6*u - 14 - 9*u = 0.
-1, 7
Let i be 2/(0 + 4/6). Factor 3/4*p**i - 1/2*p**2 + 0*p - 1/4*p**4 + 0.
-p**2*(p - 2)*(p - 1)/4
Let i(v) = -45*v**3 + 235*v**2 - 225*v + 90. Let r(s) = -5*s**3 + 26*s**2 - 25*s + 10. Let m(d) = 6*i(d) - 55*r(d). Factor m(x).
5*(x - 2)*(x - 1)**2
Let c = 83/2142 + 2/119. Let t(g) be the first derivative of 1/12*g**2 - c*g**3 + 3 + 1/3*g. Factor t(a).
-(a - 2)*(a + 1)/6
Let a(k) be the third derivative of -k**6/60 - k**5/30 + k**2. Find q such that a(q) = 0.
-1, 0
Let x(g) be the first derivative of -g**5/30 - g**4/6 - 5*g**3/18 - g**2/6 - 8. Determine q, given that x(q) = 0.
-2, -1, 0
Let g be 3/(-7) + 5*153/315. Find s, given that 1/4 + 1/4*s**g - 1/2*s = 0.
1
Let l(v) = 8*v**3 + 8*v**2 + 16*v + 8. Let w(h) = -h**3 + h**2 - h - 1. Let u(a) = -l(a) - 4*w(a). Factor u(o).
-4*(o + 1)**3
Let c(x) be the second derivative of x**7/280 - x**6/80 + x**5/80 + 5*x**2/2 - 6*x. Let l(r) be the first derivative of c(r). Suppose l(k) = 0. Calculate k.
0, 1
Let l(n) = -9*n**3 - 5. Let s(b) = 4*b**3 + 2. Let t(p) = -2*l(p) - 5*s(p). Factor t(v).
-2*v**3
Suppose -20/3*t**3 - 20*t**4 + 0*t**2 + 0*t + 0 - 25/3*t**5 = 0. What is t?
-2, -2/5, 0
Suppose -z - 5*m = -27, -2 - 5 = -z - m. Find i such that 2/9*i + 4/9*i**z - 4/9 - 2/9*i**3 = 0.
-1, 1, 2
Let z(s) be the first derivative of -2*s**4 - 20*s**3/3 - 8*s**2 - 4*s - 2. Solve z(p) = 0 for p.
-1, -1/2
Suppose 3*d - 2 = -5. Let q be (-2)/(-6)*(-6)/d. Factor -s + 5*s**2 + s**2 - 4*s**q.
s*(2*s - 1)
Let r(c) be the third derivative of c**7/420 - c**6/144 + c**5/180 - 23*c**2. Let r(p) = 0. Calculate p.
0, 2/3, 1
Let h(a) = -2*a**2 - 10*a + 