**4 + 1/4*i - 3/4*i**2.
i*(i - 1)*(i + 1)*(3*i - 1)/4
Let m = 2/113 - -894/565. Factor -2/5*w**2 + m - 8/5*w + 2/5*w**3.
2*(w - 2)*(w - 1)*(w + 2)/5
Let u be (-2 - 10)/4 + 5. Factor -4*z**2 + 4*z**3 + 3*z**u + 5*z**2.
4*z**2*(z + 1)
Suppose 4*f = 13*f. Factor 0*t**2 + 2/5*t**4 - 2/5*t**5 + f + 0*t + 0*t**3.
-2*t**4*(t - 1)/5
Let h(q) be the third derivative of q**7/70 + q**6/40 - 3*q**5/20 - 5*q**4/8 - q**3 + q**2. Factor h(x).
3*(x - 2)*(x + 1)**3
Suppose -48 = -4*r - 12. Let l(s) = -s**3 + 8*s**2 + 9*s + 3. Let q be l(r). Factor -5/4*o**2 + 3/4*o**q - 3/4*o + o**4 + 1/4.
(o - 1)*(o + 1)**2*(4*o - 1)/4
Let b(y) = -2*y**2 + y + 1. Let f(d) = -d**2 + 2*d + 2. Let h(c) = -2*b(c) + 3*f(c). Factor h(n).
(n + 2)**2
Let p be (2 - (-12)/(-8))*-2*0. Let m(y) be the third derivative of 0*y**4 - 1/480*y**6 + 0*y + p*y**3 + 0 + 1/240*y**5 - 3*y**2. What is s in m(s) = 0?
0, 1
Let k be 4/(-14) - (-48)/21. Let g be (7/(-4) - -2)*6. Determine m so that g*m - 1/2*m**k - 1 = 0.
1, 2
Let x(w) be the third derivative of -w**8/4200 - w**7/1050 + w**5/150 + w**4/60 + w**3/2 - w**2. Let q(g) be the first derivative of x(g). Factor q(o).
-2*(o - 1)*(o + 1)**3/5
Let p(j) = 2*j**3 + 4*j**2 - 2*j - 4. Let r(m) = 5*m**3 + 9*m**2 - 5*m - 9. Let i(o) = 7*p(o) - 3*r(o). Solve i(w) = 0.
-1, 1
Let b(d) = -d**3 - 18*d**2 - 19*d - 14. Let v be b(-17). Factor 12*w**2 + 5*w**2 - v*w**2.
-3*w**2
Let n = -61 + 41. Let a be (1/(-4))/(n/64). Factor -a*b**2 + 0 + 2/5*b**3 + 2/5*b.
2*b*(b - 1)**2/5
Let b be (-1)/4 + 5/20. Factor o**2 + 0*o + o**2 - 2 + b*o.
2*(o - 1)*(o + 1)
Let b(a) be the second derivative of 2*a**2 - 3*a**3 + 0 - a + 2/3*a**4. Factor b(v).
2*(v - 2)*(4*v - 1)
Let b(a) be the second derivative of a**10/11340 - a**9/3240 + a**8/5040 + a**7/3780 - a**4/2 + 8*a. Let v(g) be the third derivative of b(g). Factor v(z).
2*z**2*(z - 1)**2*(4*z + 1)/3
Let -7*r - 49/2 - 1/2*r**2 = 0. What is r?
-7
Let w(j) be the first derivative of 1 + 1/6*j**2 - 2/9*j**3 + 0*j. Find t, given that w(t) = 0.
0, 1/2
Let g(p) be the first derivative of p**7/420 + p**6/80 + p**5/120 - p**4/16 - p**3/6 - 3*p**2/2 + 4. Let z(r) be the second derivative of g(r). Factor z(j).
(j - 1)*(j + 1)**2*(j + 2)/2
Let x(b) be the first derivative of -1/9*b**3 - 2 - 1/12*b**4 + 1/6*b**2 + 1/3*b. Factor x(l).
-(l - 1)*(l + 1)**2/3
Let j(w) = w**3. Let c(g) = -g**4 - 4*g**3 + 2*g**2 - 1. Let s(v) = 3*c(v) + 12*j(v). Factor s(f).
-3*(f - 1)**2*(f + 1)**2
Suppose 0 = -7*t + 5 + 9. Determine j so that 0 + 2/3*j + 2/3*j**t = 0.
-1, 0
Let m(n) be the first derivative of 5*n**4/24 + 5*n**3/3 + 5*n**2 + 20*n/3 + 15. Factor m(r).
5*(r + 2)**3/6
Determine p so that -29*p**2 - 4*p + 4 + 2*p**3 + p**4 + 0 + 26*p**2 = 0.
-2, 1
Let g(u) = 6*u**3 - 14*u**2 + 16*u - 2. Let z(k) = -19*k**3 + 41*k**2 - 48*k + 7. Let l(s) = 7*g(s) + 2*z(s). Factor l(t).
4*t*(t - 2)**2
Let h = 93/10 - 39/5. Factor h*c**2 + 27/2 - 9*c.
3*(c - 3)**2/2
Let z(g) be the first derivative of 0*g**3 + 6 + 3/4*g**4 - 3/2*g**2 + 0*g. Suppose z(r) = 0. Calculate r.
-1, 0, 1
Let i(n) = -n**3 + 2*n**2 + n. Let r be i(2). Suppose r*p = -p. Factor 0 + 1/3*q**2 + 1/3*q**3 + p*q.
q**2*(q + 1)/3
Let h = 817/356 + -4/89. Solve -3/4*p - 3/4*p**4 - h*p**3 + 0 - 9/4*p**2 = 0.
-1, 0
Let n(m) = m + 1 - 1 + 8. Let g be n(-5). Factor -2*v**2 + 0*v - 4*v - 2*v**4 + 4 + 6*v**g - 2*v.
-2*(v - 2)*(v - 1)**2*(v + 1)
Let w(n) be the second derivative of -2*n + 2/5*n**2 + 0 + 1/5*n**3 + 1/30*n**4. Suppose w(h) = 0. Calculate h.
-2, -1
Find q, given that -27/2*q**3 + 18*q**2 - 3*q**4 + 0 + 9/2*q**5 - 6*q = 0.
-2, 0, 2/3, 1
Let z(g) = 2*g - 11. Let w be z(11). Let y = -7 + w. Factor 2/5*i**2 - 1/5*i**y + 0*i + 0*i**3 - 1/5.
-(i - 1)**2*(i + 1)**2/5
Let v(y) be the third derivative of 0*y**3 - 1/108*y**4 - 1/135*y**5 + 0*y + 0 - y**2 + 1/180*y**6. What is q in v(q) = 0?
-1/3, 0, 1
Factor -1/4*g**4 + 3/4*g**3 + 0 - 3/4*g**2 + 1/4*g.
-g*(g - 1)**3/4
Let n = 30 - 28. Determine f so that -f**2 + f + 0*f - n*f**2 + 2*f = 0.
0, 1
Find x such that -3*x**3 + 3*x + 0 + 3/2*x**4 - 3/2*x**2 = 0.
-1, 0, 1, 2
Let p(m) = -m**3 + 6*m**2 - 4*m - 3. Let g be p(5). Factor -a**2 + a**g - 12*a + 8 - 5*a**3 + 9*a**3.
4*(a - 1)**2*(a + 2)
Factor 0*b + 1/2 - 1/2*b**2.
-(b - 1)*(b + 1)/2
Let l be 8/(-20) - (-38)/(-20)*-1. Factor -3/2*b**3 - 3/2 + 3/2*b + l*b**2.
-3*(b - 1)**2*(b + 1)/2
Solve -a**3 - a**3 - 11*a**2 + 5*a**2 = 0 for a.
-3, 0
Let w(l) be the second derivative of l**5/20 + 5*l**4/12 + 5*l**3/6 - l**2/2 - 5*l. Let u(v) = v**2 + v - 1. Let x(n) = -u(n) + w(n). Factor x(f).
f*(f + 2)**2
Let -2/11*t**2 + 20/11 + 18/11*t = 0. Calculate t.
-1, 10
Suppose -5*o = -o. Suppose 0 = -5*x + 2*x. What is k in -2/7*k + 0*k**4 + 4/7*k**3 - 2/7*k**5 + x*k**2 + o = 0?
-1, 0, 1
Suppose 5*x + 4*m = 9, -5*x + m + 8 = 4*m. Let u(l) be the first derivative of -x - 6*l + 3/2*l**2 + l**3. Determine y so that u(y) = 0.
-2, 1
Let n(i) be the first derivative of -i**7/1260 + i**6/180 - i**5/90 + 2*i**3/3 + 3. Let p(a) be the third derivative of n(a). Suppose p(u) = 0. What is u?
0, 1, 2
Let t(u) be the third derivative of -u**5/60 - u**4/24 + u**3/3 - 9*u**2. Factor t(c).
-(c - 1)*(c + 2)
Let r(i) be the second derivative of i**8/448 - i**7/105 + 7*i**6/480 - i**5/120 - i**2/2 + 6*i. Let z(h) be the first derivative of r(h). Factor z(w).
w**2*(w - 1)**2*(3*w - 2)/4
Let n(h) = 4*h**4 - 8*h**3 + 5*h**2 - 3*h. Let v(o) = 8*o**4 - 16*o**3 + 10*o**2 - 7*o. Let b(a) = 5*n(a) - 2*v(a). Solve b(k) = 0.
0, 1/2, 1
Let f(x) be the second derivative of x**6/15 - x**5/30 - x**4/3 + x**3/3 + 3*x**2/2 + 2*x. Let k(h) be the first derivative of f(h). What is r in k(r) = 0?
-1, 1/4, 1
Let c(q) be the first derivative of -1/36*q**6 + 0*q**2 - 1/10*q**5 - 1/18*q**3 + 0*q - 1/8*q**4 + 3. Factor c(t).
-t**2*(t + 1)**3/6
Let z(g) = 18*g**2 + 540*g + 4050. Let s(p) = 2*p**2 + 60*p + 450. Let f(m) = -52*s(m) + 6*z(m). Solve f(t) = 0.
-15
Let h(y) = y**2 - 6*y + 12. Let o be h(3). Find v such that -1/2*v**4 - 5/2*v**o - 9/2*v**2 - 7/2*v - 1 = 0.
-2, -1
Let n(b) = b**2 + b - 1. Suppose 10 + 12 = -3*z - q, -5*z + 3*q = 18. Let f(x) = 9*x**2 + 10*x - 5. Let v(r) = z*n(r) + f(r). Factor v(t).
(t + 1)*(3*t + 1)
Suppose 13 = 3*h + 4. Determine q so that -5*q**h + 12*q**2 + 7*q**3 - q**4 + 4*q**4 + 10*q**3 = 0.
-2, 0
Suppose -h + 72 = h. Solve 3*r**3 - 6*r - 11 + 203 + h*r**2 + 150*r = 0.
-4
Let i(s) be the first derivative of 1 + 7/50*s**5 + 4/15*s**3 + 49/300*s**6 + 0*s - 2/5*s**4 + 1/2*s**2. Let u(a) be the second derivative of i(a). Factor u(c).
2*(c + 1)*(7*c - 2)**2/5
Let w(a) be the first derivative of -a**6/9 + 7*a**5/30 - a**4/12 - a**3/18 - 8. Factor w(k).
-k**2*(k - 1)**2*(4*k + 1)/6
Let y be 2/(-8) - (-6 + (-402)/(-120)). Let -2/5*p + 8/5*p**4 + y*p**2 - 18/5*p**3 + 0 = 0. What is p?
0, 1/4, 1
Let k(f) be the third derivative of 0 + 4*f**2 + 0*f + 1/30*f**5 + 1/6*f**4 + 0*f**3 - 1/105*f**7 - 1/30*f**6. Suppose k(t) = 0. What is t?
-2, -1, 0, 1
Let s(y) be the second derivative of -y**7/147 + 2*y**6/105 + 3*y**5/70 - 4*y**4/21 + 4*y**3/21 - 29*y. Determine u, given that s(u) = 0.
-2, 0, 1, 2
Let v(z) be the third derivative of z**5/12 - 5*z**4/12 - z**2. Factor v(m).
5*m*(m - 2)
Let v(i) be the first derivative of -1/3*i**4 - 4/9*i**3 - 5 - 1/9*i**6 + i**2 - 2/3*i + 2/5*i**5. What is n in v(n) = 0?
-1, 1
Let f(n) be the second derivative of -n**7/84 - n**6/40 + n**5/20 + n**4/16 - n**3/12 + n. Solve f(a) = 0 for a.
-2, -1, 0, 1/2, 1
Let m(l) = 5*l - 8. Let g be m(2). Let s = -4 + 4. Factor -2/3*d**g + s - 2/3*d.
-2*d*(d + 1)/3
Let y be (3/2)/(6/8). Let g = -1564/7 + 224. Determine l so that 0 + 0*l + g*l**y - 10/7*l**3 = 0.
0, 2/5
Suppose -j = -2*j + 5*o + 13, -3*o = 3*j - 3. Let -2/5*h**4 + 2/5*h - 2/5*h**j + 0 + 2/5*h**2 = 0. What is h?
-1, 0, 1
Let u be (8 - (-140)/(-15))*1/(-4). Find v such that 0 - u*v**4 - v**3 + v + 1/3*v**2 = 0.
-3, -1, 0, 1
Let p(q) be the second derivative of -q**6/90 + 2*q**5/15 - 17*q**4/36 + 5*q**3/9 - q - 5. Let p(w) = 0. Calculate w.
0, 1, 2, 5
Let t = -7 + 11. Suppose -1 = t*m + 7. Let l(z) = 3*z**3 + 3*z**2 + 2*z. Let w(b) = b**3 + b**2 + b. Let u(f) = m*w(f) + l(f). Find o such that u(o) = 0.
-1, 0
Factor -2/15*d + 2/15*d**2 + 0.
2*d*(d - 1)/15
Let h(p) = p**2 + 3 + 4*p**2 - 4*p**2. Let s(a) = 1. Supp