 0 + 0*x**5 - 6*x**2 - 1/30*x**6 + 1/6*x**4. Factor h(r).
-4*r*(r - 1)*(r + 1)
Suppose -2*j + 2 = -2. Factor -h**5 - 1 - h**5 + 2*h**2 - 2*h**4 + 2*h**3 + 2*h**j - h**4.
-(h - 1)*(h + 1)**3*(2*h - 1)
Let o(c) be the second derivative of 0*c**2 + 5*c + 1/15*c**3 + 0 - 1/10*c**4 + 1/25*c**5. Factor o(w).
2*w*(w - 1)*(2*w - 1)/5
Let c = 571/4 + -142. Factor c*p**2 + 1/4 + 3/4*p + 1/4*p**3.
(p + 1)**3/4
Let a(d) be the first derivative of 96*d**5/25 + 12*d**4 + 66*d**3/5 + 6*d**2 + 6*d/5 + 12. Factor a(w).
6*(w + 1)**2*(4*w + 1)**2/5
Suppose 5*g**2 + 2*g + g - 5*g + 12*g = 0. What is g?
-2, 0
Suppose 26 = -5*s + 6. Let a be ((-2)/1 - s) + 3. Factor 1/4*u**a - 1/4*u**3 + 0 - 1/4*u**2 + 0*u + 1/4*u**4.
u**2*(u - 1)*(u + 1)**2/4
Let j(s) be the third derivative of -s**8/21 + 2*s**7/21 + s**6/10 - s**5/3 + s**4/6 - s**2. Determine n, given that j(n) = 0.
-1, 0, 1/4, 1
Let l(o) be the first derivative of -o**3 + 3*o**2 - 3*o + 8. Factor l(g).
-3*(g - 1)**2
Let g = 32 - 8. Find l, given that 8*l + 10*l**3 + g*l**2 - 5*l**4 - 8*l**4 - 18*l**5 - 11*l**4 = 0.
-1, -2/3, 0, 1
Let i(g) be the third derivative of -7*g**5/80 + g**4/2 - g**3/2 - 36*g**2. Factor i(c).
-3*(c - 2)*(7*c - 2)/4
Let j = 227/24360 + -1/1015. Let m(x) be the third derivative of x**2 + 0*x + 1/1050*x**7 + j*x**4 + 1/200*x**6 + 1/100*x**5 + 0*x**3 + 0. Factor m(c).
c*(c + 1)**3/5
Determine x so that 6*x - 15 - 3/5*x**2 = 0.
5
Suppose 250/11*d**4 + 120/11*d**2 + 0 + 16/11*d + 300/11*d**3 = 0. What is d?
-2/5, 0
Find r such that -16/5*r - 2/5*r**4 + 2/5*r**2 + 8/5 + 2*r**3 - 2/5*r**5 = 0.
-2, 1
Find y such that -1/3*y - 1/3*y**2 + 0 - 2/3*y**5 + y**3 + 1/3*y**4 = 0.
-1, -1/2, 0, 1
Let s(u) be the second derivative of -u**6/60 + u**5/40 + u**4/12 + 5*u. Factor s(j).
-j**2*(j - 2)*(j + 1)/2
Let f = 12151/287 + -295/7. Let i = 122/205 - f. Factor 0 - 12/5*z**3 + 0*z - 18/5*z**4 - i*z**2 - 8/5*z**5.
-2*z**2*(z + 1)**2*(4*z + 1)/5
Let y = 105 + -103. Find h, given that 0*h - 8/3 + 2*h**y - 2/3*h**3 = 0.
-1, 2
Let c = 442/55 - 84/11. Let 0 + c*k**3 + 0*k - 2/5*k**2 + 2/5*k**4 - 2/5*k**5 = 0. What is k?
-1, 0, 1
Let p(u) = -u**3 + 5*u**2 + 8*u - 8. Let q be p(6). Suppose 3*m + 4*v = -16 + 14, 10 = 4*m - v. Solve 1/3*d**q + 0*d**m + 1/3*d**3 + 0*d + 0 = 0.
-1, 0
Factor -1/5*p**2 - 64/5 - 16/5*p.
-(p + 8)**2/5
Let z(b) be the third derivative of b**7/735 - b**6/210 - 2*b**5/105 + 2*b**4/21 - 18*b**2. Factor z(s).
2*s*(s - 2)**2*(s + 2)/7
Let -4*t + 6 + 2/3*t**2 = 0. What is t?
3
Let u(n) be the first derivative of n**6/1260 + n**5/420 - 2*n**3/3 + 2. Let a(g) be the third derivative of u(g). Factor a(y).
2*y*(y + 1)/7
Determine w so that -4*w**4 - 2*w + 2*w**5 + 4*w**2 - 459*w**3 + 459*w**3 = 0.
-1, 0, 1
Let 0 + 5/2*d**2 + 1/2*d + 2*d**3 = 0. What is d?
-1, -1/4, 0
Let v = -199/459 - -8/17. Let i(r) be the third derivative of 0*r - 1/270*r**5 - v*r**3 + 2*r**2 + 0 + 1/54*r**4. Find w, given that i(w) = 0.
1
Let n(k) be the first derivative of 3 + 3/2*k**2 - k + 1/4*k**4 - k**3. Factor n(g).
(g - 1)**3
Let i = -1028 - -11368/11. Suppose -i*a**2 + 10/11*a**3 - 4/11 + 30/11*a + 24/11*a**4 = 0. Calculate a.
-2, 1/4, 1/3, 1
Let h(t) be the first derivative of 4*t**3/3 - 6*t**2 + 8*t + 31. Factor h(q).
4*(q - 2)*(q - 1)
Let q(i) be the second derivative of i**8/672 - i**7/240 + i**6/360 - 2*i**3/3 + 2*i. Let k(u) be the second derivative of q(u). Find w such that k(w) = 0.
0, 2/5, 1
Let x(u) = -u**2 - 8*u - 5. Let t be x(-7). Let p be 0*(-4 - -7 - t). Factor 0 + p*h**2 + 2/5*h - 2/5*h**3.
-2*h*(h - 1)*(h + 1)/5
Let -24 + 12*t - 3/2*t**2 = 0. Calculate t.
4
Let w be 4/14 - (-4)/(-14). Factor -3/5*v**5 + 0 + w*v**3 + 3/5*v + 6/5*v**4 - 6/5*v**2.
-3*v*(v - 1)**3*(v + 1)/5
Let c = 16 - 14. Factor 2*o**2 + 6*o - c*o - 4*o**3 - 8*o**2 + 2*o**2 + 4*o**4.
4*o*(o - 1)**2*(o + 1)
Factor 8/9*m**4 + 2/9*m**5 + 0 + 0*m**2 + 8/9*m**3 + 0*m.
2*m**3*(m + 2)**2/9
Let h(q) = 18*q**2 - 18*q + 12. Let o(z) = z**2 - 1. Let k(u) = h(u) - 15*o(u). Factor k(w).
3*(w - 3)**2
Let l(p) be the third derivative of p**2 - 9/8*p**4 + 0*p - 39/20*p**5 - 11/8*p**6 + 0*p**3 - 5/14*p**7 + 0. Find n such that l(n) = 0.
-1, -3/5, 0
Let v(a) = -13*a**3 - 25*a**2 + 6*a. Let h(f) = 129*f**3 + 249*f**2 - 60*f. Let u(k) = 2*h(k) + 21*v(k). Factor u(c).
-3*c*(c + 2)*(5*c - 1)
Let p(w) be the first derivative of w**5/105 - w**4/21 - 2*w**2 + 4. Let h(u) be the second derivative of p(u). Suppose h(t) = 0. What is t?
0, 2
Let f be 1/(-42)*-11 + (-14)/147. Factor 0 + 0*r - 1/6*r**3 + 0*r**4 + 0*r**2 + f*r**5.
r**3*(r - 1)*(r + 1)/6
Suppose u - 2*u = -4*f + 13, -3*f + 5*u + 14 = 0. Factor 14*y + 4*y**2 - 9*y**3 - 6 + 2 - 5*y**f.
-2*(y - 1)*(y + 1)*(7*y - 2)
Let x(q) be the second derivative of -q**5/30 + q**4/18 + 22*q. Let x(d) = 0. Calculate d.
0, 1
Suppose -3*j + j = -2. Let w be (0 + j)/((-6)/(-18)). Solve -n**2 - 1/3*n**w - 1/3 - n = 0.
-1
Suppose -18*s**4 - 3 + 6*s**3 + 21*s**2 - 21/2*s**5 + 9/2*s = 0. Calculate s.
-1, 2/7, 1
Let y(h) be the second derivative of h**4/8 - 3*h**3/4 + 3*h**2/2 + 5*h. Find z such that y(z) = 0.
1, 2
Determine u so that 10/17*u**5 + 0*u + 0 + 0*u**2 - 2*u**4 + 12/17*u**3 = 0.
0, 2/5, 3
Suppose 0*x + 6 = 5*p + 2*x, -2*p = x - 2. Suppose p*n - 4 = -i + 2, 0 = -i + n - 3. Factor 2 - 2*w - 2*w**2 + i - 2.
-2*w*(w + 1)
Let n(q) be the second derivative of 0*q**2 + q + 0 - 1/12*q**4 + 1/3*q**3. Determine s so that n(s) = 0.
0, 2
Let h(w) be the first derivative of 4*w**5/35 - 4*w**3/21 + 8. Solve h(u) = 0.
-1, 0, 1
Let b(y) be the first derivative of y**6/6 - 3*y**5/5 + y**4/2 - 3. Let b(d) = 0. What is d?
0, 1, 2
Determine b so that 9/7*b**2 - 3/7*b + 0 = 0.
0, 1/3
Let a be -1 + (24/(-6) - -5). Factor -6/5*o + a - 9/5*o**3 - 3*o**2.
-3*o*(o + 1)*(3*o + 2)/5
Let x(g) be the third derivative of -g**7/210 + g**6/120 + g**5/20 - 5*g**4/24 + g**3/3 - 3*g**2. Factor x(r).
-(r - 1)**3*(r + 2)
Let o be 0 + 3 + 3/(-1 - 2). Find d, given that -1/4*d**o + 1/4 + 1/4*d - 1/4*d**3 = 0.
-1, 1
Let i = 162 - 481/3. Find x, given that 2/3 + x - i*x**2 = 0.
-2/5, 1
Suppose 11 = z + 11. Factor 0 - 1/4*g**2 - 1/4*g**3 + z*g + 1/4*g**4 + 1/4*g**5.
g**2*(g - 1)*(g + 1)**2/4
Solve 4/5 - 14/5*h - 4/5*h**2 + 14/5*h**3 = 0.
-1, 2/7, 1
Let c(y) be the first derivative of 0*y**2 - 5 + 0*y + 1/5*y**3. Factor c(t).
3*t**2/5
Factor -6 + 6*i**3 - 10 - 2*i**2 + 25 - 6*i - 7.
2*(i - 1)*(i + 1)*(3*i - 1)
Let f(d) = d**3 - 24*d**2 - 52*d + 2. Let p be f(26). What is k in 0 - 15/2*k**4 - 3*k**3 + 0*k + 0*k**p = 0?
-2/5, 0
Let v(o) be the first derivative of o**4/6 + 4*o**3/3 + 4*o**2 - 4*o - 6. Let k(z) be the first derivative of v(z). Factor k(t).
2*(t + 2)**2
Let p(i) be the third derivative of 0 + 1/72*i**4 + 2*i**2 + 1/120*i**6 - 1/630*i**7 + 0*i - 1/60*i**5 + 0*i**3. Factor p(x).
-x*(x - 1)**3/3
Let y = 6 - 3. Let t(u) be the first derivative of 3/8*u**4 + 3/2*u - 1/2*u**3 + y - 3/4*u**2. Factor t(s).
3*(s - 1)**2*(s + 1)/2
Let 0*k - 1/2*k**2 + 0 + k**3 - 1/2*k**4 = 0. What is k?
0, 1
Let x(s) be the second derivative of -s**7/1680 - s**6/720 + s**5/240 + s**4/48 + s**3/2 + s. Let l(v) be the second derivative of x(v). Factor l(b).
-(b - 1)*(b + 1)**2/2
Let d = 41/4 + -10. Let g be -4 + (0 - 133/(-28)). Factor -g*h**4 - d*h**5 - 1/2*h**3 + 1/2*h**2 + 3/4*h + 1/4.
-(h - 1)*(h + 1)**4/4
Let v(w) be the second derivative of -w**7/210 + w**6/150 + 3*w**5/100 - w**4/12 + w**3/15 + 15*w. Factor v(b).
-b*(b - 1)**3*(b + 2)/5
Let x(y) be the first derivative of y**6/720 - 4*y**3/3 + 2. Let i(o) be the third derivative of x(o). Solve i(m) = 0 for m.
0
Let c(s) be the first derivative of 2 + 1/2*s**2 + 1/360*s**6 + 1/9*s**3 + 0*s + 0*s**5 - 1/24*s**4. Let o(q) be the second derivative of c(q). Factor o(f).
(f - 1)**2*(f + 2)/3
Let s(a) be the third derivative of a**8/2520 + a**7/1575 - a**6/900 - a**5/450 + 5*a**2. Find d, given that s(d) = 0.
-1, 0, 1
Let m(n) be the second derivative of n**4/42 + 2*n**3/7 + 9*n**2/7 + 6*n. Let m(d) = 0. What is d?
-3
Let x(k) be the first derivative of k**6/60 + k**5/30 - k**4/3 - 4*k**3/3 + k**2/2 - 1. Let h(b) be the second derivative of x(b). Factor h(z).
2*(z - 2)*(z + 1)*(z + 2)
Factor -6/5*b**3 + 0*b - 2/5*b**2 + 0 - 6/5*b**4 - 2/5*b**5.
-2*b**2*(b + 1)**3/5
Let g = -248 + 3234/13. Factor g*j**3 - 24/13*j**2 + 18/13*j 