pose -1/4*z**3 + 0 + 0*z + 0*z**2 = 0. Calculate z.
0
Let f(g) be the second derivative of -1/4*g**3 + 0 - 1/20*g**5 - 3*g - 3/16*g**4 - 1/8*g**2. Factor f(r).
-(r + 1)**2*(4*r + 1)/4
Let m(u) = u - 5. Let n be m(7). Let r be n*(-1 + 4 + -2). Factor -3*b + b**r + 3*b.
b**2
Suppose -4*l = -3*i - 25, -4*l + 25 + 3 = -4*i. Let v = i - -7. What is a in 6*a**3 + 4*a**4 + 4 + 12*a - 2*a**v + 13*a**2 - a**4 = 0?
-2, -1
Let w = -16893673/91 + 185649. Let a = 70/13 - w. Factor a*t - 8/7 - 2/7*t**2.
-2*(t - 2)**2/7
Let a(s) = s**2 + s. Let q(b) = -b**2 - b. Let c(z) = 5*a(z) + 6*q(z). Factor c(d).
-d*(d + 1)
Let s(n) = 3*n**4 - 9*n**3 + 3*n**2 - 3*n. Let l(f) = 5*f**4 - 17*f**3 + 7*f**2 - 5*f - 1. Let v(z) = -6*l(z) + 11*s(z). Factor v(t).
3*(t - 1)**2*(t + 1)*(t + 2)
Factor 0 - 2*y**3 - y**2 + y**3 + y + 1.
-(y - 1)*(y + 1)**2
Let r(l) = -l**3 + 9*l**2 - 5. Let m be r(9). Let z = m + 5. Solve 2/3*t + z + 2/3*t**4 - 2/3*t**2 - 2/3*t**3 = 0 for t.
-1, 0, 1
Let r(z) be the third derivative of z**7/945 + z**6/540 - z**5/135 - 4*z**2. Factor r(n).
2*n**2*(n - 1)*(n + 2)/9
Let d = 8 - 8. Suppose w - 3*h = 8, w - 2*h = -3*w + 12. Factor d + 1/3*t**w + 0*t.
t**2/3
Determine w so that 2/3 - 14/9*w**2 - 8/9*w = 0.
-1, 3/7
Suppose -2*i - 35 = -0*y + y, -95 = 4*i - 3*y. Let t = i - -81/4. Let 0 - t*c - 1/4*c**3 - 1/2*c**2 = 0. Calculate c.
-1, 0
Let q = -60 + 36. Let m be 1*6*q/(-108). Factor 8/3*u + 7/3*u**2 - m - 5/3*u**3.
-(u - 2)*(u + 1)*(5*u - 2)/3
Factor 2/9*d**3 - 2/9*d**2 + 2/9 - 2/9*d.
2*(d - 1)**2*(d + 1)/9
Suppose 3*g = 5*g - 8. Let x be ((-5)/15)/((-1)/6). Factor -g*c + 1 + 2*c**x + 3 + c - 3.
(c - 1)*(2*c - 1)
Let n(v) be the second derivative of -1/5*v**5 + 6*v - 18*v**2 - 10*v**3 + 0 - 7/3*v**4. Let n(w) = 0. What is w?
-3, -1
Let a(o) = -6*o**3 + 6*o**2 + 6*o - 6. Let w(n) = -5*n**2 + 4*n**2 - 1 + 2. Let m(q) = a(q) + 4*w(q). Factor m(v).
-2*(v - 1)*(v + 1)*(3*v - 1)
Let u be (3 - (0 - 16/(-4)))*0. Let s(v) be the third derivative of 0*v**3 - 1/12*v**4 + 1/30*v**5 + 0 + v**2 + u*v. Factor s(j).
2*j*(j - 1)
Let j(d) be the first derivative of 15*d**5/8 - 19*d**3/8 - 9*d**2/8 - 65. What is y in j(y) = 0?
-3/5, -2/5, 0, 1
Factor 8 + 32*z - 51 - 21 - 4*z**2.
-4*(z - 4)**2
Let r(u) = -2*u**3 + 12*u**2 + 14*u + 4. Let y be r(7). Factor 7/2*t - 9*t**2 - 1/2 + 10*t**3 - y*t**4.
-(t - 1)*(2*t - 1)**3/2
Factor 0 + 45/2*x**2 + 0*x - 5/2*x**3.
-5*x**2*(x - 9)/2
Let h = 19/45 - 1/5. Suppose -3*d + 1 + 11 = 0. What is g in 2/9*g**3 + 0 - 2/9*g - 2/9*g**2 + h*g**d = 0?
-1, 0, 1
Let l be (-2)/(-5) - (-219)/15. Suppose -3*c + l = 3*r, -2*c = r - 4*c - 2. Find j, given that 0 - 14/3*j**3 + 4/3*j - 10/3*j**2 + 6*j**5 + 6*j**r = 0.
-1, 0, 1/3, 2/3
Let s(p) be the first derivative of -p**8/784 + p**7/245 - p**6/280 - 3*p**2 - 2. Let c(o) be the second derivative of s(o). Factor c(v).
-3*v**3*(v - 1)**2/7
Let v be 54/10 - 12/30. Let d(q) = q + 2*q**2 + 8 + 0*q**2 + v*q. Let z(g) = -4*g**2 - 11*g - 16. Let u(k) = 5*d(k) + 2*z(k). Suppose u(s) = 0. What is s?
-2
Solve -2/9*d**2 - 2/3 + 8/9*d = 0 for d.
1, 3
Let o(p) be the second derivative of p**5/50 + p**4/10 + p**3/5 + p**2/5 + 5*p. Suppose o(u) = 0. What is u?
-1
Factor -32*u - 12 - 42*u + 4 + 90*u - 10*u**2 + 2*u**3.
2*(u - 2)**2*(u - 1)
Let r(p) = -p - 8. Let a be r(-13). Let v(z) be the first derivative of 0*z**2 + 1/12*z**3 - 2 + 0*z - 1/8*z**4 + 1/20*z**a. Factor v(s).
s**2*(s - 1)**2/4
Let d = 711 + -703. Factor 1/2*o**4 + d + 5*o**3 + 33/2*o**2 + 20*o.
(o + 1)**2*(o + 4)**2/2
Let n be -1 - (3 - ((-15)/(-6) - -3)). Find b such that -n + 0*b + 3/2*b**2 = 0.
-1, 1
Let r(u) be the third derivative of 0 - 1/2*u**4 - 3/2*u**3 - 1/20*u**5 - 4*u**2 + 0*u. Suppose r(y) = 0. What is y?
-3, -1
Let g(o) be the third derivative of 0*o - 1/30*o**5 + 0 + 1/3*o**3 + 0*o**4 - 9*o**2. What is k in g(k) = 0?
-1, 1
Let v(x) be the third derivative of x**6/240 + x**5/30 + x**4/12 + 2*x**2. Factor v(i).
i*(i + 2)**2/2
Let b(o) be the third derivative of -o**8/1008 - o**7/630 + o**6/360 + o**5/180 + 18*o**2. Factor b(i).
-i**2*(i - 1)*(i + 1)**2/3
Let h(c) = -c + 3. Let l be h(3). Let n(y) be the third derivative of 0*y + 2*y**2 + 1/6*y**3 + l*y**4 - 1/60*y**5 + 0. Factor n(u).
-(u - 1)*(u + 1)
Let h(a) = -4*a**4 + 18*a**3 - 10*a**2 - 12*a + 8. Let i(g) = 4*g**4 - 17*g**3 + 9*g**2 + 12*g - 8. Let z(c) = -5*h(c) - 6*i(c). Factor z(m).
-4*(m - 2)*(m - 1)**2*(m + 1)
Let v = -330 - -2971/9. Let -1/3*p + v*p**2 + 0 = 0. What is p?
0, 3
Suppose 7 = -2*t - 3, 4*q - 3*t - 35 = 0. Suppose q = -f + 7. Find a such that 0*a**f + 1/2*a - 1/2*a**3 + 0 = 0.
-1, 0, 1
Let x(h) be the second derivative of h**6/120 - h**4/8 + h**3/3 - h**2 + 2*h. Let p(q) be the first derivative of x(q). Find o such that p(o) = 0.
-2, 1
Suppose -15 = -4*f + 1. Let b(z) be the third derivative of -2*z**2 + 0 + 0*z**3 + 0*z + 1/36*z**f + 1/45*z**5 + 1/180*z**6. Factor b(r).
2*r*(r + 1)**2/3
Let h be (3 + -3 + 1)*-1. Let n be 0*(-3)/(h + -5). Solve n - 2/5*z**2 + 2/5*z = 0 for z.
0, 1
Let n be 1*((-4)/(-252))/1. Let w(i) be the second derivative of i - 1/9*i**3 - n*i**7 + 1/15*i**5 + 1/9*i**4 - 1/45*i**6 + 0 - 1/3*i**2. Solve w(o) = 0 for o.
-1, 1
Let u(a) = 7*a**3 - 17*a**2 - 8*a. Let i(y) = 3*y**3 - 8*y**2 - 4*y. Let n(h) = -9*i(h) + 4*u(h). Factor n(g).
g*(g + 2)**2
Let p = 2 - -4. Suppose -s = -p + 1. Let 3*m**4 - 6*m**3 + 13*m - s*m**4 - 5*m = 0. Calculate m.
-2, 0, 1
Let q = -12 + 17. Solve -4*l + 3*l**2 - 6*l**3 - 8*l**2 - q*l**2 + 2*l**4 + 2*l**5 = 0.
-1, 0, 2
Suppose -6 + 22 = -y - 4*p, -y - 3*p = 11. Let l be (y/6)/((-8)/(-9)). Let 3/4*n**4 + 0*n**3 - l*n**2 + 0*n + 0 = 0. What is n?
-1, 0, 1
Let a(f) be the first derivative of f**3/27 + f**2/9 + f/9 + 21. Factor a(o).
(o + 1)**2/9
Let k(j) be the second derivative of j**4/36 - j**2/6 - 4*j. Factor k(m).
(m - 1)*(m + 1)/3
Factor 0*c + 6*c**5 + 0 + 2/3*c**3 - 4*c**4 + 0*c**2.
2*c**3*(3*c - 1)**2/3
Suppose 0*k - 5*k = -25. Suppose 0 = k*l - 6 - 4. Factor 7*u - 2*u**2 - u + 2 - l*u**3 - 4*u.
-2*(u - 1)*(u + 1)**2
Let i(c) be the third derivative of -c**7/210 - c**6/60 - c**5/60 + 5*c**2. Factor i(d).
-d**2*(d + 1)**2
Let u be (-2)/8*0*(-3)/(-6). Solve -9/4*p - 3/4*p**2 + u = 0 for p.
-3, 0
Let w = 4 - 6. Let g = 6 + w. Factor 3*f**2 + 1/2*f**g - 2*f**3 - 2*f + 1/2.
(f - 1)**4/2
Let k(a) = 18*a**2 - 12*a + 9. Let g(t) = -t**2. Let r(y) = -15*g(y) - k(y). Let r(c) = 0. Calculate c.
1, 3
Let p be (-13)/(-18) - (-18)/(-81). Let d(w) be the first derivative of 2 - 1/3*w**3 + 2*w + p*w**2. Factor d(n).
-(n - 2)*(n + 1)
Suppose 3 = 5*q - 12. Determine f so that 2*f**2 - 3*f - q*f + 1 + 3*f = 0.
1/2, 1
Let r be (6/(-9))/(4/6). Let l be (4 + r)*(-10)/(-6). Find g, given that 0 + 2/7*g**4 + 2/7*g**3 - 2/7*g**2 + 0*g - 2/7*g**l = 0.
-1, 0, 1
Let c(m) = 2*m**2 - 6*m. Let x be c(4). Let p be ((-6)/(-24))/(1/x). Factor -8/5*z - 8/5 - 2/5*z**p.
-2*(z + 2)**2/5
Let o(i) be the third derivative of -i**8/13440 + i**6/480 - i**5/15 + 3*i**2. Let s(w) be the third derivative of o(w). Factor s(l).
-3*(l - 1)*(l + 1)/2
Let j(v) = 4*v**4 - 2*v**3 - 4*v**2 + 2*v - 2. Let y(u) = -u**4 + u**2 + 1. Let h(b) = b**2 - 2. Let g be h(0). Let p(a) = g*y(a) - j(a). Factor p(l).
-2*l*(l - 1)**2*(l + 1)
Let s(g) = 5*g**4 - 4*g**2 + 2. Let y(d) = -9*d**4 + 8*d**2 - 4. Let p = 4 + -7. Let i(j) = p*y(j) - 5*s(j). Determine o so that i(o) = 0.
-1, 1
Find b, given that 95*b**2 - 50*b**2 - 35*b - 25*b**3 + 13 - 3 + 5*b**4 = 0.
1, 2
Let g = 43/62 + -6/31. Factor g*x + 0 - 1/2*x**2.
-x*(x - 1)/2
Suppose -2*u - 2*v = 0, -2*v = 3*u - 3*v. Let w(o) be the first derivative of 0*o**2 + 1/14*o**4 + u*o**3 - 2 + 0*o. Find x, given that w(x) = 0.
0
Let w be (-34)/(-66) - (-4)/(-22). Let j be 4*(-1)/6 + 1. Find c such that -j + w*c**2 + 0*c = 0.
-1, 1
Let i(d) be the second derivative of 3*d**2 + 1/4*d**4 - 3*d + 3/2*d**3 + 0. Factor i(z).
3*(z + 1)*(z + 2)
Determine i, given that -2/7*i**3 + 0*i**2 - 1/7*i**4 + 2/7*i + 1/7 = 0.
-1, 1
Let v(x) be the first derivative of 3/10*x**2 + 4 - 1/5*x**3 + 3/5*x - 3/20*x**4. Factor v(k).
-3*(k - 1)*(k + 1)**2/5
Suppose -3*j + 5*j - 2 = 0. Let x(w) = 6*w**2 + w. Let c(d) = 3*d**2 - 3*d**2 + d**2. Let g(f) = j*x(f) - 5*c(f). Factor g(p).
p*(p + 1)
Let k be 45/10*1*(-10)/(-35). Let -k*a + 36/7*a**2 - 6/7 - 3*a**3 = 0. Calcu