= k**3 + 4*k**2 - 2*k - 5. Let w be b(-4). Let q be 1 - (1 - 16)/w. Factor -3*h**2 - 6*h**3 + 5*h**3 - q*h + 4*h**3.
3*h*(h - 2)*(h + 1)
Let w(y) be the first derivative of 0*y + 0*y**3 - 1/4*y**6 - 2 - 3/4*y**4 + 1/4*y**2 - 4/5*y**5. Let w(j) = 0. Calculate j.
-1, 0, 1/3
Let k(c) be the third derivative of -c**6/300 - c**5/75 + c**4/15 + 8*c**3/15 + 19*c**2. Factor k(u).
-2*(u - 2)*(u + 2)**2/5
Solve 0*g**2 - 4/3*g**3 + 4/3*g + 2/3*g**4 - 2/3 = 0.
-1, 1
Let w(f) = 3*f**4 + 3*f**2 + 3*f - 3. Let u(k) = -k**5 + k**2 + k - 1. Let j(y) = 3*u(y) - w(y). Factor j(x).
-3*x**4*(x + 1)
Let u(f) be the second derivative of f**5/5 - 2*f**4/3 + 2*f**3/3 + 5*f. Factor u(r).
4*r*(r - 1)**2
Determine a, given that -5/3*a**2 - 2/3 + 7/3*a = 0.
2/5, 1
Let p(w) be the third derivative of -w**9/60480 - w**8/3360 - w**7/420 - w**6/90 - w**5/30 - w**2. Let n(l) be the third derivative of p(l). Factor n(o).
-(o + 2)**3
Suppose 4*o - 13*o + 15 - 6*o - 5*o**2 - 25 = 0. Calculate o.
-2, -1
Let g be (0 + 0)/((-4)/2). Suppose -5*s + g*s + 10 = 0. Factor 4*b**3 - 3*b**3 + s*b**4 - b**4.
b**3*(b + 1)
Let y be ((-6)/18)/((-4)/6). Let t(x) be the first derivative of 1/3*x**3 - y*x**2 - 3 + 0*x. Factor t(z).
z*(z - 1)
Let r(t) be the third derivative of 0*t**4 + 0*t**6 + 1/1050*t**7 + 0*t**3 + 0 - 1/300*t**5 + 0*t - 6*t**2. Factor r(b).
b**2*(b - 1)*(b + 1)/5
Let u(x) be the first derivative of x**8/112 - x**7/70 + 2*x**2 - 6. Let t(z) be the second derivative of u(z). Factor t(j).
3*j**4*(j - 1)
Let i(y) = -3*y - 10. Let o be i(-4). Let s(w) be the first derivative of 1/12*w**4 + 1/9*w**3 + 0*w + 2 + 0*w**o. Factor s(u).
u**2*(u + 1)/3
Suppose 3*i - 16 = -i. Suppose -2*j = -i*j + 8. Factor s**3 - s**3 + 2*s**3 - s**3 - s**j.
-s**3*(s - 1)
Let w(r) be the third derivative of -r**11/665280 + r**10/151200 - r**9/120960 + r**5/30 + 6*r**2. Let t(n) be the third derivative of w(n). Factor t(a).
-a**3*(a - 1)**2/2
Let m be -1 + 0/1 + 4. Suppose -4*w + 1 = -m. Determine x, given that 3/2*x + w + 0*x**2 - 1/2*x**3 = 0.
-1, 2
Factor 1/2*g**5 + 0*g + 0*g**4 - 2*g**3 + 0 + 0*g**2.
g**3*(g - 2)*(g + 2)/2
Let h(k) be the second derivative of -2*k**6/25 + k**5/25 + k**4/3 - 2*k**3/15 - 4*k**2/5 + 8*k. Find u such that h(u) = 0.
-1, -2/3, 1
Let s(z) be the second derivative of -z**4/60 - z**3/15 - 7*z. Suppose s(f) = 0. Calculate f.
-2, 0
Suppose 4*y - 5 = 3. Solve q**y + 11*q - 13*q + q**2 = 0.
0, 1
Let r(t) be the third derivative of -t**6/40 + 3*t**5/20 - 3*t**4/8 + t**3/2 + 15*t**2. Let r(k) = 0. What is k?
1
Let r(m) = 2*m**2. Let d be r(-1). Suppose p - 6 = -d*p. Factor 0 + 1/3*u**p + 1/3*u.
u*(u + 1)/3
Suppose 0 = 5*d - 16 - 9. Let -2*f**3 - 14*f - d*f**2 + 0*f**3 - 6 - 5*f**2 = 0. Calculate f.
-3, -1
Let i = 42 + -125/3. Let v(j) be the second derivative of j + 0 + 2/3*j**2 + i*j**3 + 1/18*j**4. Factor v(m).
2*(m + 1)*(m + 2)/3
Factor 7*y**3 - 2*y**3 - 10*y**2 - 51*y - 46*y + 102*y.
5*y*(y - 1)**2
Let t(v) be the second derivative of v**8/168 - v**6/60 + v**2/2 - v. Let q(b) be the first derivative of t(b). Suppose q(o) = 0. What is o?
-1, 0, 1
Let t = -3 - -7. Suppose i - 16 = -t*q + q, 2*q + 5*i - 15 = 0. Determine o so that 6*o**q - 2*o**2 - 6*o**4 + 0*o**3 + 6*o**3 - 4*o**5 = 0.
0, 1
Let q(r) be the third derivative of 0*r + 0*r**5 + 0 - 1/3*r**3 + 2*r**2 - 1/1440*r**6 + 1/96*r**4. Let h(p) be the first derivative of q(p). Factor h(u).
-(u - 1)*(u + 1)/4
Let m(k) be the first derivative of 2/3*k**3 - 1/2*k**2 - 1/4*k**4 + 4 + 0*k. Factor m(u).
-u*(u - 1)**2
Suppose -7*j - 3 = 3*t - 3*j, 5*t + j = 12. Suppose -2*x + 0*x + 6 = 0. Let 24*d**2 - 10*d**3 - 2*d**t + 3*d**x + 12*d - 27*d**4 = 0. Calculate d.
-2/3, 0, 1
Let n(a) = -a**5 - 8*a**4 + a**3 + 8*a**2 - 9*a - 23. Let d(v) = -v**4 - v**3 + v - 1. Let s(c) = 21*d(c) - 3*n(c). Suppose s(y) = 0. What is y?
-2, -1, 2
Let d(n) be the first derivative of 1/6*n**6 - 2*n - 3/20*n**5 + n**2 + 1 - 7/12*n**4 + 1/2*n**3. Let g(m) be the first derivative of d(m). Factor g(z).
(z - 1)**2*(z + 1)*(5*z + 2)
Let v be (2 - (-20)/(-6))*-3. Suppose -v*j**2 + 72*j**3 + 0*j - 4*j**2 + 0*j - 162*j**4 = 0. Calculate j.
0, 2/9
Let x(p) = -p**3 - 5*p**2 - p - 2. Let y be x(-5). Let n be (1 - 2)/(y/(-6)). Factor -d + 3*d - d**3 - 4*d**n - 6*d.
-d*(d + 2)**2
Let r(a) be the second derivative of -a**4/18 + 10*a**3/9 - 25*a**2/3 + 15*a. Factor r(k).
-2*(k - 5)**2/3
Factor 5*m**2 + 5*m**4 + 0*m**4 + 5*m**3 + 3*m**3 + 2*m**3.
5*m**2*(m + 1)**2
Let j = -3/32 - -91/288. What is k in 2/9*k**2 + 0*k - j = 0?
-1, 1
Let f(c) = -c**3 + 1. Let k(z) = 2*z**3 - 3*z**2 - 2*z - 3. Let o(h) = 3*f(h) + k(h). Solve o(b) = 0 for b.
-2, -1, 0
Let h be 64/11 - 6/(-33). Let s be (h/7)/((-9)/(-14)). Factor 0 + 2/3*a - 2/3*a**5 + 4/3*a**2 + 0*a**3 - s*a**4.
-2*a*(a - 1)*(a + 1)**3/3
Let n(g) = 2*g**2 + 2*g + 1. Let k be 10/(-6) + 1/(-3). Let v be n(k). Factor 3*w**5 - w**4 + 3*w**3 + w**2 - w**3 - v*w**3.
w**2*(w - 1)*(w + 1)*(3*w - 1)
Let i = -815 + 817. Factor 0*q + 1/3*q**3 + 0 + 1/3*q**i.
q**2*(q + 1)/3
Suppose 0 = m - 4*k - 12, 2*m - 7*m = 4*k + 12. Suppose m*q = -3*q. What is z in 3/4*z**5 + 0*z**3 - 3/4*z + q - 3/2*z**2 + 3/2*z**4 = 0?
-1, 0, 1
Let v(m) be the first derivative of -8*m**5/5 - 17*m**4/2 - 40*m**3/3 - 4*m**2 + 70. Factor v(o).
-2*o*(o + 2)**2*(4*o + 1)
Factor 0*s + 12/17*s**3 + 0 - 2/17*s**2 - 18/17*s**4 + 8/17*s**5.
2*s**2*(s - 1)**2*(4*s - 1)/17
Let s(h) be the third derivative of 0*h + 4*h**2 + 0*h**5 + 2/315*h**7 + 0*h**4 + 1/1008*h**8 + 1/90*h**6 + 0*h**3 + 0. Suppose s(p) = 0. Calculate p.
-2, 0
Determine k so that 42*k**5 + 208*k**3 + 252*k**4 + 8*k + 61*k**2 + 11*k**2 + 10*k**3 + 56*k**5 = 0.
-1, -2/7, 0
Let k(m) be the first derivative of -m**6/15 - 6*m**5/25 - m**4/5 + 4*m**3/15 + 3*m**2/5 + 2*m/5 + 37. Factor k(r).
-2*(r - 1)*(r + 1)**4/5
Let h be (75/12)/5 - 1. Factor -1/4*c + 0 + 1/4*c**3 + 1/4*c**4 - h*c**2.
c*(c - 1)*(c + 1)**2/4
Suppose -6*u = -11*u + 10. Determine s, given that 8*s + 6*s**2 - 5*s**u + 3*s**2 = 0.
-2, 0
Let b(j) = j**3 - 5*j**2 + 3. Let y be b(5). Let g(o) be the third derivative of 2*o**2 - 1/60*o**6 + 0 - 1/3*o**y - 1/10*o**5 + 0*o - 1/4*o**4. Factor g(z).
-2*(z + 1)**3
Let u = 154 + -613/4. Solve 0*h + 3/4*h**2 - u*h**3 + 0 = 0.
0, 1
Suppose -17 = t + 5*u, -5*t - u = -0*t + 13. Let l be (0 + 4 + -4)/t. Factor -1/2*i**3 + l*i**2 + 1/2*i + 1/4*i**4 - 1/4.
(i - 1)**3*(i + 1)/4
Let m be (-1)/1*15/(-6). Let j(u) be the first derivative of -2/3*u**3 - m*u**2 + 2 - 2*u. Let j(y) = 0. What is y?
-2, -1/2
Let t(v) = v**2 + 8*v - 18. Let h be t(2). Factor -4/3 + 2/3*g**h + 2/3*g.
2*(g - 1)*(g + 2)/3
Let r = 334 - 5008/15. Let k(s) be the first derivative of -r*s**3 + 0*s**2 - 1/5*s**4 - 1 + 0*s + 6/25*s**5. Factor k(u).
2*u**2*(u - 1)*(3*u + 1)/5
Let z = 8 - 23/3. What is i in 2/3*i**3 - 1/3 - 1/3*i - z*i**5 + 2/3*i**2 - 1/3*i**4 = 0?
-1, 1
Let i(z) = z**2 + 11*z + 22. Let x be i(-9). Let a(m) be the second derivative of -1/24*m**x + 0*m**2 + 0 + m + 1/12*m**3. What is j in a(j) = 0?
0, 1
Let l(g) = g**2 - 2*g. Let a(o) = 1. Let i(m) = -a(m) - l(m). Factor i(t).
-(t - 1)**2
Factor 150*o - 125 + 5/4*o**3 - 105/4*o**2.
5*(o - 10)**2*(o - 1)/4
Let n = -2/1319 + 1325/3957. Determine c, given that -2/3*c**3 + 0 + 1/3*c**2 + 2/3*c - n*c**4 = 0.
-2, -1, 0, 1
Suppose 2*l = -2 + 10. Solve -3*o + 2*o**2 - l + 4 + 5*o = 0.
-1, 0
Suppose 3*r - 2*c = c - 9, -3*r - c + 11 = 0. Let b(j) be the first derivative of 1 + 0*j - 1/3*j**3 + 0*j**r. What is g in b(g) = 0?
0
Let k(f) be the third derivative of f**5/120 + f**4/48 - 9*f**2. Factor k(h).
h*(h + 1)/2
Solve o**2 + 1/3*o**3 + 0 + 2/3*o = 0 for o.
-2, -1, 0
Let y(j) be the third derivative of 0*j**4 + 0*j - 1/150*j**5 + 0 - 2*j**2 - 1/180*j**6 - 1/3*j**3. Let g(h) be the first derivative of y(h). Solve g(v) = 0.
-2/5, 0
Let a be (23 - 6) + 3*1. Suppose -4*y = 3*h - a, 0*y = -h + 4*y - 20. Determine k so that 1/4*k**2 - 1/4*k**4 + h*k**3 + 0*k + 0 = 0.
-1, 0, 1
Let q = 46 - 318/7. Determine g, given that 0*g**2 + 2/7*g**3 - 6/7*g - q = 0.
-1, 2
Let z(d) be the first derivative of d**7/1260 - d**6/240 + d**5/120 - d**4/144 - 3*d**2/2 - 1. Let l(x) be the second derivative of z(x). Factor l(f).
f*(f - 1)**3/6
Let i(n) be the first derivative of n**6/30 - 3*n**5/25 + 3*n**4/20 - n**3/15 + 10. 