
-2*z**3*(z + 2)
Let q(i) be the third derivative of -i**5/240 + i**3/6 - 9*i**2. Factor q(l).
-(l - 2)*(l + 2)/4
Suppose 2*p - 30 = -p. Let j(u) = -2*u + 20. Let z be j(p). Factor 1/4*i**5 + z*i + 1/2*i**4 + 0*i**2 + 0 + 1/4*i**3.
i**3*(i + 1)**2/4
Let m(u) = -u**2 + 5*u - 2. Let n be m(4). Factor i**4 - i - 4*i**5 + i**4 - n*i**2 + 5*i**5.
i*(i - 1)*(i + 1)**3
Let x be ((-3)/22)/(3/(-4)). Let r(h) be the first derivative of 2/11*h**2 + 2/33*h**3 + x*h + 2. Factor r(d).
2*(d + 1)**2/11
Factor -6*a + 4 + a**2 + 3*a**2 - 8*a**2.
-2*(a + 2)*(2*a - 1)
Let d(g) be the third derivative of -1/120*g**5 + 0 - 1/480*g**6 - g**2 + 0*g - 1/96*g**4 + 0*g**3. Factor d(u).
-u*(u + 1)**2/4
Let u = 187 + -559/3. Factor 0 + 4/3*r**2 + u*r**3 + 2/3*r.
2*r*(r + 1)**2/3
Let d(s) be the third derivative of 0 + 7/8*s**4 + 1/40*s**6 - s**2 + 3/2*s**3 + 1/4*s**5 + 0*s. Factor d(q).
3*(q + 1)**2*(q + 3)
Let l(q) be the second derivative of q**7/189 + 2*q**6/135 + q**5/90 - 6*q. Factor l(r).
2*r**3*(r + 1)**2/9
Factor -32/5*l**2 + 8/5*l**4 - 28/5*l - 8/5 + 4/5*l**5 - 8/5*l**3.
4*(l - 2)*(l + 1)**4/5
Let y(f) be the second derivative of 1/6*f**4 + 0*f**3 - f + 0 - f**2. Factor y(g).
2*(g - 1)*(g + 1)
Let s(i) = -2*i**2 + 5*i - 3. Let j be s(3). Let n be j/20*16/(-6). Solve 2/5*d**2 + n*d + 0 = 0 for d.
-2, 0
Let p = -52 + 54. Let 2/7*h**3 - 2/7*h + 0 + 0*h**p = 0. Calculate h.
-1, 0, 1
Let t(w) = -w + 5. Let g be t(3). Find r, given that 2 + r**3 - g*r - 2 - r**2 = 0.
-1, 0, 2
Let g(l) be the first derivative of -l**6/6 - l + 3. Let b(x) = 2*x**5 + 2*x**3 + 4. Let a(w) = -b(w) - 4*g(w). Factor a(v).
2*v**3*(v - 1)*(v + 1)
Suppose -11*c + 7*c = 0. Let u(k) be the first derivative of -2 + c*k**2 + 2/9*k**3 + 0*k - 1/12*k**4. Factor u(t).
-t**2*(t - 2)/3
Let f = 4 + -1. Let z = f - 1. Solve -5*b**2 - 4 - 15*b - 3*b**z - 3*b = 0.
-2, -1/4
Determine t so that 3*t**2 + t - t**2 + 2*t**3 + t + 2*t**2 = 0.
-1, 0
Let f be (5*8/(-200))/(0 - 3). Let c(g) be the first derivative of -3/5*g + 1/5*g**2 - 3 + f*g**3. Factor c(m).
(m - 1)*(m + 3)/5
Let o be (-6)/(-27) - 4 - -4. Let y = 1118/9 + -124. Factor -y*g - o*g**2 + 0.
-2*g*(g + 1)/9
Let a = 398 - 398. Factor 1/6*z**2 + a - 1/2*z.
z*(z - 3)/6
Let g(s) = s**4 + s**3 - s**2 - s + 1. Let w(h) = 2*h + 3 + 15*h**4 - 5 - 2*h**2 - 2*h**3 - 16*h**4. Let v(a) = -2*g(a) - w(a). Suppose v(b) = 0. What is b?
-2, 0, 2
Let o(m) = 5*m**3 + m**2 - m. Let n(p) = -14*p**3 - 4*p**2 + 2*p. Let l(c) = 3*n(c) + 8*o(c). Factor l(s).
-2*s*(s + 1)**2
Let a(n) be the first derivative of n**4/9 - n**3/3 + n**2/3 - n/9 - 1. Factor a(p).
(p - 1)**2*(4*p - 1)/9
Suppose w + 4*l + 11 = 0, -3*w = -5*l - 27 + 9. Let k be (w + -3 - 2)/(-2). What is b in b + 2*b**4 + b**4 - b**k - b**5 - b**4 - b**2 = 0?
-1, 0, 1
Let j(w) = 3*w**4 + 5*w**3 + 4*w**2 + 3. Let f(b) = -b**4 - 2*b**3 - 2*b**2 - 1. Let p(t) = 5*f(t) + 2*j(t). Let p(m) = 0. Calculate m.
-1, 1
Let w(q) = q**2. Let i(x) = -3*x**2 - 8. Let v(s) = -2*i(s) - 10*w(s). Factor v(g).
-4*(g - 2)*(g + 2)
Suppose -1/2*u + 0 - 1/2*u**2 = 0. Calculate u.
-1, 0
Let 0 - 3/4*k**2 - 1/4*k + 5/4*k**3 - k**5 + 3/4*k**4 = 0. What is k?
-1, -1/4, 0, 1
Suppose -3*x + 0*x = -12. Let o(j) = -j**3 - 5*j**2 - j - 3. Let w be o(-5). Solve 2*p**4 - 4*p**w + 6 + 0*p**2 - x = 0 for p.
-1, 1
Let s(a) be the first derivative of 0*a - 1/15*a**5 - 1/4*a**4 - 1/3*a**3 - 1/6*a**2 - 2. Factor s(b).
-b*(b + 1)**3/3
Let y(g) = -7*g**4 - 7*g**3 + 3*g. Let r(j) = -6*j**4 - 6*j**3 + 2*j. Let z(w) = 3*r(w) - 2*y(w). Factor z(l).
-4*l**3*(l + 1)
Let o(r) be the second derivative of r**6/75 - 2*r**5/25 + r**4/10 + 4*r**3/15 - 4*r**2/5 - 4*r. Factor o(f).
2*(f - 2)**2*(f - 1)*(f + 1)/5
Let s(p) be the first derivative of -p**4/14 - 20*p**3/21 - 25*p**2/7 + 20. Factor s(f).
-2*f*(f + 5)**2/7
Suppose 4*g = -2*a - 3*a - 14, -12 = g - 3*a. Let q be (g/(-4))/(1/2). Factor 2*b**2 + 2*b**q - 2*b + 2*b.
2*b**2*(b + 1)
Factor 3*a**2 + 0*a**3 - a**3 + 67*a - 69*a.
-a*(a - 2)*(a - 1)
Let u(l) = -10*l + 43. Let y be u(4). Factor 1/3*q + 1/3*q**y - 2/3*q**2 + 0.
q*(q - 1)**2/3
Factor -3*f**2 + 7*f - 3*f**2 + 3*f**2 - f.
-3*f*(f - 2)
Let g(z) be the third derivative of z**6/180 - z**5/30 - z**4/36 + z**3/3 + 15*z**2. Suppose g(i) = 0. Calculate i.
-1, 1, 3
Suppose -3*j = 2*b + 1, -18 = -j + 3*b - 0*b. Let y(g) be the third derivative of -1/9*g**j + 0*g**4 + 0*g - g**2 + 1/90*g**5 + 0. Factor y(s).
2*(s - 1)*(s + 1)/3
Let r(g) be the first derivative of g**5/20 - 3*g**4/16 + g**2/2 - 8. Find j such that r(j) = 0.
-1, 0, 2
Determine n, given that -4 - 4*n**4 + 32*n + n**5 + n**2 - 16*n**3 + 7*n**2 - 24*n + 7*n**5 = 0.
-1, 1/2, 1
Let y be 3030/(-27) + (-2)/(-9). Let t = y + 562/5. Suppose 0*z + 0 - 2/5*z**5 + 6/5*z**4 + t*z**2 - 6/5*z**3 = 0. Calculate z.
0, 1
Suppose 5*o - 5*q = 5, -7*o + 37 = -2*o + 3*q. Let b(i) be the first derivative of 2/3*i**2 - 1/3*i**4 + 2/3*i + 0*i**3 - 2/15*i**o + 1. Factor b(c).
-2*(c - 1)*(c + 1)**3/3
Let j = -7 - -6. Let r be 1 - j - 2 - -4. Factor v**5 - v**r - 5*v**3 + 4*v**3 - v**4 + 2*v**3.
v**3*(v - 1)**2
Let s be ((-2)/(-6))/((-6)/(-36)). Let 6*z**3 + 3*z**4 + 7*z**s - 4*z**2 + 0*z**4 = 0. What is z?
-1, 0
Let t(n) = -n**2 + 5*n + 5. Let k be t(5). Suppose -6*d - 7 = j - 4*d, 0 = k*j + 2*d - 5. Factor 2*x**j - 2*x**4 + 2*x**2 + 3*x + 2*x - 7*x.
-2*x*(x - 1)**2*(x + 1)
Let y(i) be the first derivative of i**4 + i**2 + 0*i + 1/5*i**5 + 5/3*i**3 - 6. Find l such that y(l) = 0.
-2, -1, 0
Factor -3*y**4 + 3*y + 0*y**4 - 3*y**3 + 2*y**2 - y**2 + 4*y**4 - 2.
(y - 2)*(y - 1)**2*(y + 1)
Let w(d) be the second derivative of d**4/3 + 2*d**3 + 4*d**2 + d. Factor w(k).
4*(k + 1)*(k + 2)
Let h = -611/3 + 205. Factor 0*k**2 + 2/3*k**4 + h*k - 2/3 - 4/3*k**3.
2*(k - 1)**3*(k + 1)/3
Suppose -4 - 4 = -2*c. Suppose 3*d - 10 = -d - 2*b, 0 = c*d + 5*b - 25. Factor d + 1/4*m**2 + 0*m.
m**2/4
Let r be (6*(-2)/(-21))/((-116)/(-406)). Determine l, given that -4/5*l**r - 36/5 + 24/5*l = 0.
3
Let w(p) be the third derivative of 0*p + 1/12*p**4 - 5*p**2 + 1/3*p**3 - 1/60*p**6 - 1/30*p**5 + 0. Factor w(o).
-2*(o - 1)*(o + 1)**2
Let b(n) be the first derivative of 4/21*n**3 - 1/14*n**2 - 1/42*n**6 - 3/14*n**4 - 2 + 4/35*n**5 + 0*n. Let b(w) = 0. What is w?
0, 1
Let g(s) be the first derivative of 1/10*s**2 + 1/10*s**3 - 2 + 1/100*s**5 + s + 1/20*s**4. Let k(c) be the first derivative of g(c). Factor k(q).
(q + 1)**3/5
Let p(i) be the first derivative of 3*i**8/224 + i**7/140 + 3*i**2/2 + 4. Let x(r) be the second derivative of p(r). Solve x(t) = 0 for t.
-1/3, 0
Let a(w) = w**2 + 3*w. Let g(b) = b**2 + 2*b. Let u(z) = 3*a(z) - 4*g(z). Find r, given that u(r) = 0.
0, 1
Suppose -2*t - 12 = 3*k, 2*k + 2*k = 4*t - 16. Factor n**2 + t*n + n + 0*n**2.
n*(n + 1)
Suppose 6*j - 8*j = -10. Suppose -2*x + 12 = -3*t, t = -x - 3*t - j. Let 2/5*o**x - 2/5*o + 0 + 0*o**2 = 0. Calculate o.
-1, 0, 1
Let l(g) be the third derivative of 1/90*g**5 - 2*g**2 + 0 + 4/9*g**3 + 0*g - 1/9*g**4. Factor l(z).
2*(z - 2)**2/3
Let g(i) be the first derivative of 1/18*i**4 + 0*i + 1/9*i**2 - 4/27*i**3 + 4. Factor g(p).
2*p*(p - 1)**2/9
Let u(s) be the second derivative of 3/4*s**2 + 3/2*s**3 + 0 - 3*s + s**4. Factor u(f).
3*(2*f + 1)*(4*f + 1)/2
Let f(y) = -y**3 - 8*y**2 - 7*y + 3. Let q be f(-7). Let r(w) be the first derivative of -1/4*w + 2 - 1/2*w**2 - 1/4*w**q. Find k, given that r(k) = 0.
-1, -1/3
Suppose -v - 4*c + 10 = 0, 4*v + v = -5*c - 25. Let q = -6 - v. Factor -z**q + z + 2*z**3 + 2*z**4 - 3*z**3 - z**2.
z*(z - 1)**2*(z + 1)
Factor 3*m**5 + m**5 - 11597*m**2 - 8*m**4 + 11605*m**2 - 4*m.
4*m*(m - 1)**3*(m + 1)
Factor 0*q**2 + 5*q**2 + 144 + 32*q - 16 - 3*q**2.
2*(q + 8)**2
Suppose 19 = -2*o + 33. Let g(r) be the third derivative of 0*r + 3*r**2 + 0*r**4 + 0*r**6 + 1/60*r**5 + 0 - 1/210*r**o + 0*r**3. Factor g(s).
-s**2*(s - 1)*(s + 1)
Let c(m) = -4 + 4 - m + m**2. Let h(z) = -8*z**2 - 1. Let g(y) = 4*c(y) + h(y). Factor g(b).
-(2*b + 1)**2
Let w = -7 - -11. Factor -4*r**5 - 6*r**4 + 8*r**2 + w*r - 3*r**4 + r**4.
-4*r*(r - 1)*(r + 1)**3
Let a(w) be the second derivative of w**6/240 - w**5/240 - w**3/3 - 3*w. Let b(x) be the second derivative of a(x). Solve b(i) = 0.
0, 1/3
Let m(f) be the third derivative of f**5/230 - f**4/138 + 7*f**2. Factor m(a).
2*a*(3*a - 2)/23
Let b(a) 