z(v) be the second derivative of -v + 1/30*v**5 - 1/18*v**d + 0 + 0*v**2 + 0*v**3. Factor z(g).
2*g**2*(g - 1)/3
Let c(a) be the first derivative of -4/3*a**4 - 2*a**2 + 28/9*a**3 + 7 + 0*a. Factor c(b).
-4*b*(b - 1)*(4*b - 3)/3
Let x(q) be the third derivative of -q**8/240 + q**7/70 - q**6/120 - q**5/60 + q**3/6 + q**2. Let d(s) be the first derivative of x(s). Factor d(y).
-y*(y - 1)**2*(7*y + 2)
Suppose -5*u + 7 = -10*u - 3*r, 2*u + 4*r = 0. Let d be 6*((-8)/36)/u. Factor -d*s**2 - 1/3*s**5 + 2/3*s**4 + 0*s**3 + 1/3*s + 0.
-s*(s - 1)**3*(s + 1)/3
Let v(l) be the first derivative of l**3 + 9*l**2 + 24*l + 46. Factor v(g).
3*(g + 2)*(g + 4)
Factor -4*m - 4*m**4 - 6*m**3 + 8*m**2 + 20*m + 2*m**5 - 8*m.
2*m*(m - 2)**2*(m + 1)**2
Let y(x) be the first derivative of x**5/5 + x**4/4 - 4. Let l(d) = 3*d**4 + 6*d**3 - 3*d**2 - 9*d - 3. Let h(k) = l(k) + 3*y(k). Factor h(p).
3*(p - 1)*(p + 1)**2*(2*p + 1)
Suppose 10 = 6*q - q. Let k = -32 - -97/3. What is z in k - 2/3*z + 2/3*z**3 + 0*z**q - 1/3*z**4 = 0?
-1, 1
Let i = 7 + -6. Let n(q) = 5*q**4 + q**3 + 13*q**2 + 3*q + 6. Let m(g) = -g**4 + g**3 - g**2 + g - 1. Let f(h) = i*n(h) + 4*m(h). Determine z so that f(z) = 0.
-2, -1
Let m(h) be the second derivative of -h**7/105 - h**6/25 - 3*h**5/50 - h**4/30 + 2*h. Find n such that m(n) = 0.
-1, 0
Let l = 3167/4 - 7613/12. Let b = -156 + l. Determine h so that 0 - b*h**2 - 1/3*h = 0.
-1/4, 0
Let h(w) be the third derivative of 0*w + 1/60*w**5 + 0 + 1/48*w**4 + 0*w**3 + 2*w**2 + 1/240*w**6. Factor h(i).
i*(i + 1)**2/2
Factor 1/4*i + 1/4*i**3 + 1/2*i**2 + 0.
i*(i + 1)**2/4
Let z(i) be the first derivative of 5*i**4/4 + 5*i**3/3 - 10*i**2 - 20*i + 34. Factor z(h).
5*(h - 2)*(h + 1)*(h + 2)
Let z = -21 + 16. Let y(h) = -2*h + 2. Let b(j) = j**2 + 4*j - 5. Let c(n) = z*y(n) - 2*b(n). Determine d, given that c(d) = 0.
0, 1
Let v be (-5)/(-6)*(-8)/(-20). Suppose 0*q - 4*q - 7*q = 0. Solve -1/3*x**2 - v*x + q = 0.
-1, 0
Suppose -2 + 8 = 3*u. Let i(x) be the first derivative of 1/2*x**2 + 1/3*x**3 + u + 0*x. Find k such that i(k) = 0.
-1, 0
Factor 0*d + 2*d**2 - 9*d**2 - 4*d + 2*d**4 + d**2.
2*d*(d - 2)*(d + 1)**2
Let l(m) be the third derivative of 1/18*m**3 - 1/90*m**6 + 1/30*m**5 + 1/630*m**7 - 1/18*m**4 + 0 + 0*m + 4*m**2. Factor l(n).
(n - 1)**4/3
Suppose -q + 5*y = -12 - 13, -4*q + 5*y = -40. Factor 0*s**4 + 3 + 5*s - 3*s**2 + 4*s**4 + 3 - 7 - q*s**3.
(s - 1)**2*(s + 1)*(4*s - 1)
Let n(w) = w**3 + 4*w**2 + 0*w**3 + 5*w - 1 - w - 3*w. Let i be n(-3). Find g such that 12/7*g**2 + 4/7 + 8/7*g**3 - 16/7*g**4 - 2*g + 6/7*g**i = 0.
-1, 2/3, 1
Factor b**2 + 4*b**3 - 4*b**2 - b**3 + b**2.
b**2*(3*b - 2)
Let c(h) be the first derivative of h**4/6 + h**3/3 + 3*h + 1. Let y(f) be the first derivative of c(f). Factor y(b).
2*b*(b + 1)
Let o(a) = 5*a**2 + 15*a - 3. Suppose -3*n = 2*n + 30. Let z(v) = 2*v**2 + 5*v - 1. Let m(t) = n*o(t) + 17*z(t). Let m(d) = 0. What is d?
1/4, 1
Let 0 - 7/5*d**2 + 3/5*d - 1/5*d**4 + d**3 = 0. What is d?
0, 1, 3
Suppose -3*t + 0*t - 6 = 0. Let z be 16/4 - t/1. Factor -2 - z*l**2 + 6*l + 0 - l**3 + 3*l**3.
2*(l - 1)**3
Let r(i) be the second derivative of -2/9*i**3 - 1/3*i**2 - 1/18*i**4 + 2*i + 0. Find g, given that r(g) = 0.
-1
Suppose -3*r + 6 + 3 = 0. Let t be 7 - r - 24/9. Suppose -4/3*g + 0 + t*g**2 + g**3 = 0. Calculate g.
-2, 0, 2/3
Let o(y) = -y**3 - 6*y**2 + 2. Let u be o(-6). Factor 2*n**2 - 3*n**u + 1 + 0*n**2.
-(n - 1)*(n + 1)
Determine q so that 5/3*q**4 + 1/3*q**3 + 2/3*q + 0 - 5/3*q**2 - q**5 = 0.
-1, 0, 2/3, 1
Let p be (-2)/(-13) - 1072/(-130). Determine s so that 3/5*s**5 - 6/5 + p*s**3 + 27/5*s - 18/5*s**4 - 48/5*s**2 = 0.
1, 2
Let d be 0/(-3 - (-2)/1). Suppose v + d = 13. Solve 8 - 30*j**2 - j**5 + 26*j**4 - 4*j**2 + 20*j - 6*j**5 - v*j**3 = 0.
-1, -2/7, 1, 2
Let t(h) = h - 4. Let q be t(6). Suppose q*b = b + 2. Factor r + 4 + r**b - 3 - 1 - r**3 - r**4.
-r*(r - 1)*(r + 1)**2
Let o(f) be the third derivative of 0*f**4 + 1/240*f**5 + 0 + 3*f**2 + 0*f + 1/480*f**6 + 0*f**3. Factor o(d).
d**2*(d + 1)/4
Let q be (-4)/(2 - 3) + 0. Let j(t) be the second derivative of 0*t**3 - 1/18*t**q + 0*t**2 + 0 + t. Suppose j(c) = 0. What is c?
0
Let t = -1 - -5. Suppose 2*l - c + 3 = 0, 12 = -4*l + 3*l + t*c. Factor 0 + l*p**2 + 2/3*p**3 + p**5 + 5/3*p**4 + 0*p.
p**3*(p + 1)*(3*p + 2)/3
Let y(j) be the third derivative of -1/3*j**3 + 0 + 2*j**2 + 1/12*j**5 + 0*j + 1/8*j**4. Factor y(b).
(b + 1)*(5*b - 2)
What is d in 1/2*d - 2*d**3 - 1/4*d**2 + 0 - 5/4*d**4 = 0?
-1, 0, 2/5
Suppose t - 3 = -12. Let j = t - -11. Factor 0 - 2/3*h**j + 0*h + 4/3*h**3 + 16/3*h**4.
2*h**2*(2*h + 1)*(4*h - 1)/3
Let r be -2 - (-8 - -4 - 2). Let u = r + -18/5. Find g, given that -u*g**4 + 0*g + 0 - 2/5*g**2 + 4/5*g**3 = 0.
0, 1
Let v be 0/(5/((-20)/8)). Suppose v*n - 3*n + 6 = 0. Let -4/7 + 2/7*o**n + 2/7*o = 0. Calculate o.
-2, 1
Let w(q) = 8*q**2 - 10*q + 2. Let b(o) = 95*o**2 - 120*o + 25. Let a(g) = -3*b(g) + 35*w(g). Let a(m) = 0. Calculate m.
1
Let d(f) be the second derivative of 121*f**6/60 - 11*f**5/10 + f**4/6 + 4*f. Let d(b) = 0. Calculate b.
0, 2/11
Let t(a) be the second derivative of -2*a**7/21 + 2*a**6/15 + 2*a**5/5 - 17*a. Find m, given that t(m) = 0.
-1, 0, 2
Suppose -4*u + 3*u = -3. Solve y + 2*y + u*y**3 - y**2 - 5*y**2 = 0.
0, 1
Let i be 396/14 - (-2)/(-7). Factor 2*f**4 - 52*f + 10*f**2 + i*f + 28*f + 4*f**3 + 4*f**3.
2*f*(f + 1)**2*(f + 2)
Let a(f) = 3*f**3 + f**2 - f. Let d be a(1). Let k(q) = -162*q**2 + 75*q - 8. Let v(y) = -486*y**2 + 226*y - 24. Let t(z) = d*v(z) - 10*k(z). Solve t(b) = 0.
2/9
Let c(s) be the first derivative of s**6/24 - s**4/8 + s**2/8 - 47. Factor c(y).
y*(y - 1)**2*(y + 1)**2/4
Let f(z) be the second derivative of 4*z - 1/11*z**3 - 2/11*z**2 - 1/66*z**4 + 0. Let f(p) = 0. What is p?
-2, -1
Let n(i) be the first derivative of -6*i**3/5 - 21*i**2/10 - 3*i/5 + 20. Suppose n(x) = 0. Calculate x.
-1, -1/6
Let q(p) be the second derivative of -3*p**5/20 - 5*p**4/4 - 4*p**3 - 6*p**2 + 5*p. Solve q(z) = 0 for z.
-2, -1
Suppose 4*g - 9 - 7 = 0. Determine j, given that 4*j**2 + 0*j + g*j + 5 - 2*j**2 - 3 = 0.
-1
Let h be (-1 + (-8)/12)/(-5). Factor -2/3*c - 2/3*c**3 + 4/3*c**5 - 8/3*c**2 + h + 7/3*c**4.
(c - 1)*(c + 1)**3*(4*c - 1)/3
Let l(c) = 11*c + 3. Let k be l(3). Let u be 10/k + 3/18. Factor u*n**2 + 0 - 14/9*n**3 + 0*n.
-2*n**2*(7*n - 2)/9
Let i(o) = o**2 + 3*o + 2. Let k(z) = z**3 - 3*z**2 - 5*z + 2. Let y be k(4). Let s be i(y). What is d in d**2 - 2*d + s*d**2 + 0*d**2 = 0?
0, 2
Suppose 5*f - 26 = -c, 3*f - 44 = -5*c + 20. Let v be 2/c - 20/(-11). Factor -2/7*r**3 - 2/7*r + 4/7*r**v + 0.
-2*r*(r - 1)**2/7
Factor -3/5*i**3 + 3/5*i + 6/5 - 6/5*i**2.
-3*(i - 1)*(i + 1)*(i + 2)/5
Let k be 18/8 - (-5)/(-20). Suppose k*t + 0*t = 4. Solve x**5 - t*x**2 + 4*x + 2*x**4 + x - 6*x = 0 for x.
-1, 0, 1
Let z(p) = 2*p**3 + 2*p**2 - 2*p + 5. Let j(q) = q**3 + q**2 - q + 2. Suppose -8 - 1 = 3*s. Let u(o) = s*z(o) + 7*j(o). Factor u(c).
(c - 1)*(c + 1)**2
Let h(k) be the first derivative of -4*k**6/9 - 2*k**5 - 8*k**4/3 - 2*k**3/3 + 2*k**2/3 + 26. Find x such that h(x) = 0.
-2, -1, 0, 1/4
Let v(x) = 5*x**3 + 14*x**2 - 20*x - 44. Let j(n) = 45*n**3 + 125*n**2 - 180*n - 395. Let c(w) = -4*j(w) + 35*v(w). Suppose c(f) = 0. Calculate f.
-2, 2
Suppose -a = 4*p + 150, 0 = -2*a - 4*p - 368 + 48. Let n = a + 685/4. Let -3/4*i**2 - n*i**3 - 1/2*i**4 + 1/4*i + 1/4 = 0. Calculate i.
-1, 1/2
Let f(b) be the first derivative of -3/8*b**2 - 1/12*b**3 + 2 - 1/2*b. Factor f(d).
-(d + 1)*(d + 2)/4
Let d = 2 - -1. Suppose 2*f = -d*f - 4*x + 3, -f + 9 = -2*x. Suppose 0 + 10*k + 1 - 8*k**2 - f = 0. What is k?
1/4, 1
Let x(y) = -y**3 - 2*y**4 - 2*y**2 - 2*y**3 + 3*y**4. Let u(l) = 2*l**4 - 7*l**3 - 4*l**2. Let f(q) = -2*u(q) + 5*x(q). Factor f(d).
d**2*(d - 2)*(d + 1)
Let c(p) be the first derivative of -1/70*p**5 + 3 + 1/7*p**2 - 1/7*p**3 + 1/14*p**4 + 3*p. Let i(f) be the first derivative of c(f). Factor i(t).
-2*(t - 1)**3/7
Let c be (105/(-25) + 3)/(-98). Let j(v) be the third derivative of 4*v**2 + 0*v**3 + 0*v + 0 + 2/105*v**5 - 1/35*v**6 + 0*v**4 + c*v**7. Factor j(f).
2*f**2*(3*f - 2)**2/7
Let g(d) = -29*d**4 + 28*d**3 - 5*d**2 - 4*d. Let j(x) = 30*x**4 - 28*x**3 + 6*x**2 + 4*x. Let k(c) = 6*g(c) + 5*j(c). Suppose k(b) = 0. What is b?
-1/3, 