4/4 - 15*f**3 - 5*f**2 + 11. Factor h(k).
-5*k*(k + 1)**3*(3*k + 2)
Let y = -143908/21 + 6854. Let u = y + 2/21. Factor 5/3*k**2 + u - 4*k.
(k - 2)*(5*k - 2)/3
Let h(y) be the first derivative of -1/8*y**2 - 1/4*y + 1 + 1/12*y**3 + 1/16*y**4. Solve h(l) = 0.
-1, 1
Solve -3/2*p + 0 - 1/2*p**2 = 0.
-3, 0
Let n(d) be the second derivative of -d**2 + 1/180*d**5 + 0 + 1/18*d**3 - d + 1/36*d**4. Let z(y) be the first derivative of n(y). Factor z(m).
(m + 1)**2/3
Suppose -y - 5 = -3*y + d, -2*d = -3*y + 10. Suppose -c + 1 + 2 = y. Factor 2/9*n**2 - 2/9*n**c + 0 - 2/9*n**4 + 2/9*n.
-2*n*(n - 1)*(n + 1)**2/9
Let u be -1 + (0 - (0 + -1)). Let z = 2 + u. Factor 3*f**z - 3*f - 2*f**2 - 5 + 5 + 2.
(f - 2)*(f - 1)
Solve 4/9*p**3 + 0*p**2 + 0 + 0*p**4 - 2/9*p - 2/9*p**5 = 0 for p.
-1, 0, 1
Let r(b) be the first derivative of -b**3/7 + 9*b**2/14 + 2. Factor r(q).
-3*q*(q - 3)/7
Suppose 3 = 2*x - 1. Suppose -x*p - 14 = -2. Let l(w) = -13*w**2 + 10*w + 3. Let r(k) = -14*k**2 + 10*k + 4. Let j(y) = p*l(y) + 5*r(y). Factor j(f).
2*(f - 1)*(4*f - 1)
Let j = -704 + 705. Determine c, given that 7*c**2 + 7/2*c**5 - 3/2*c - j - 2*c**3 - 6*c**4 = 0.
-1, -2/7, 1
Factor 0 - 1/6*z**3 + 1/6*z**2 + 0*z.
-z**2*(z - 1)/6
Let l(h) be the second derivative of -h**5/20 + h**3/6 + 15*h. Factor l(b).
-b*(b - 1)*(b + 1)
Let n(g) be the first derivative of 2/5*g + 2/5*g**2 - 1 + 2/15*g**3. Factor n(c).
2*(c + 1)**2/5
Let h(c) be the second derivative of 2*c**6/15 - 2*c**5/5 - c**4 + 16*c**3/3 - 8*c**2 - 28*c. Suppose h(w) = 0. Calculate w.
-2, 1, 2
Suppose 0 - 2 = 2*z. Let f be z/2 + (-162)/(-84). Suppose 6/7*b**3 + f*b + 2/7 + 2*b**2 = 0. Calculate b.
-1, -1/3
Let l(g) = -g**2 + 3*g + 4. Let m be l(4). Let c(n) = -3*n**3 + n**2 - 2*n - 2. Let t be c(-1). Factor 3*b**2 + b + m*b + 0*b**3 - t*b**3.
-b*(b - 1)*(4*b + 1)
Let u be (3/7 - 1) + 846/329. Suppose 1/2*w + 1/4*w**u + 1/4 = 0. Calculate w.
-1
Let y be 6 + -7 + 6/22. Let w = y + 46/33. Determine a, given that 4/3*a - 2/3 - w*a**2 = 0.
1
Let z(t) be the third derivative of -t**5/240 - t**4/16 - 3*t**3/8 - 28*t**2. Factor z(p).
-(p + 3)**2/4
Let i(k) = -k**3 + 5*k**2 - 2*k + 6. Let f be i(4). Suppose 3*t + 8 = 23. Factor -14*q**4 + f*q**4 - q**3 + q**t.
q**3*(q - 1)*(q + 1)
Let v(f) be the third derivative of f**10/10080 - f**9/1260 + f**8/448 - f**7/420 + f**4/12 - 4*f**2. Let n(a) be the second derivative of v(a). Factor n(p).
3*p**2*(p - 2)*(p - 1)**2
Factor 4/3*i**2 - 4/3*i - 8/3.
4*(i - 2)*(i + 1)/3
Let y(g) = g**2 - 9*g + 10. Let m be y(7). Let l = m + 7. Find o such that 2 - 6 + o**2 + 3 + o - o**l + 0 = 0.
-1, 1
What is w in -4*w**2 + 5*w**3 - w**3 - 4*w**2 + 4*w**4 = 0?
-2, 0, 1
Let m(a) = -a + 16. Let g be m(10). Factor v - 3*v**3 + 0*v - g*v**2 + 12*v**4 + 9*v**5 - v.
3*v**2*(v + 1)**2*(3*v - 2)
Let v(x) = -x**3 - 9*x**2 - x - 7. Let a be v(-9). Let k(j) be the first derivative of -j**3 - 5/2*j**2 + a*j + 2. Find t, given that k(t) = 0.
-2, 1/3
Let l(g) be the third derivative of 7/48*g**4 + 0 + 1/80*g**6 - 3*g**2 + 1/15*g**5 + 0*g + 1/6*g**3. Solve l(c) = 0.
-1, -2/3
Let g be ((-2)/4 - 0) + 152/48. Let k = 739 + -2167/3. Factor g*w**2 + k*w**4 + 40/3*w**3 + 0*w + 0.
2*w**2*(5*w + 2)**2/3
Let v(z) be the first derivative of -2*z**5/35 - z**4/7 + 2*z**3/21 + 2*z**2/7 - 5. Let v(r) = 0. Calculate r.
-2, -1, 0, 1
Let q(x) be the third derivative of x**7/525 - x**6/60 + 4*x**5/75 - x**4/15 + x**2. Determine h, given that q(h) = 0.
0, 1, 2
Let w = 127 - 123. Let n(g) be the second derivative of -1/42*g**w - 1/70*g**5 + 1/21*g**3 + 0*g**2 - 4*g + 1/105*g**6 + 0. What is a in n(a) = 0?
-1, 0, 1
Factor 3*h**2 - 9/4*h**3 + 1/2 + 11/4*h.
-(h - 2)*(3*h + 1)**2/4
Let r = -8 - -11. Suppose -9 = -r*n + 6, 2*n - 10 = 4*b. Solve b*v + 0 + 1/4*v**3 + 1/4*v**2 = 0 for v.
-1, 0
Factor -4/3 - 4/3*g + 4/3*g**3 + 4/3*g**2.
4*(g - 1)*(g + 1)**2/3
Let j(b) be the second derivative of 0*b**3 - 3/40*b**5 + 0 - 1/15*b**6 + 1/24*b**4 + 0*b**2 - 3*b. Determine a, given that j(a) = 0.
-1, 0, 1/4
Let r(z) be the second derivative of z**5/20 + z**4/12 - z**3/6 - z**2/2 - 23*z. Factor r(q).
(q - 1)*(q + 1)**2
Let o(z) be the third derivative of z**6/660 + 3*z**5/55 + 27*z**4/44 + 18*z**2. Determine v so that o(v) = 0.
-9, 0
Let m(a) be the first derivative of 1/21*a**3 - 1/7*a - 1/28*a**4 + 1/14*a**2 - 9. Factor m(b).
-(b - 1)**2*(b + 1)/7
Let o(q) be the third derivative of q**7/1440 + q**6/180 + q**5/120 + q**4/12 + q**2. Let m(d) be the second derivative of o(d). Factor m(y).
(y + 2)*(7*y + 2)/4
Suppose -b + 5 = 2. Let a be 0 + b + (-77)/33. Solve -a*w + 2/3*w**3 + 0 + 0*w**2 = 0.
-1, 0, 1
Let h be (-3 - (-2 + 0))/(-660). Let y(c) be the third derivative of 0 - 1/165*c**5 - 3*c**2 + 0*c**3 + h*c**6 + 0*c + 0*c**4. What is p in y(p) = 0?
0, 2
Let a(k) be the second derivative of k**4/4 + 3*k**3 + 27*k**2/2 - 4*k. Let a(r) = 0. Calculate r.
-3
Let f(j) be the third derivative of 2*j**2 + 0 + 1/180*j**5 + 1/72*j**4 + 0*j + 0*j**3. Let f(u) = 0. Calculate u.
-1, 0
Let f be (243/195 - 1) + (-20)/(-130). Factor -2/5*o**2 + 0*o + f.
-2*(o - 1)*(o + 1)/5
Solve -96*b**3 - 2*b**4 - 2*b**5 + 66*b**3 - 18*b**2 - 12*b**4 = 0 for b.
-3, -1, 0
Let g(j) = -j**2 + 3. Let l be g(0). Suppose -2*z = 3*z + 3*n - 19, -3*z + 5 = 5*n. Factor -3*k**3 + k**3 + 2*k**5 + 0*k**l - k**z + k.
k*(k - 1)**2*(k + 1)**2
Suppose 20 = -b + 24. Let j(d) be the first derivative of 2/3*d**3 + 0*d**2 + 1/4*d**4 + 0*d - 1/5*d**5 - b. Factor j(x).
-x**2*(x - 2)*(x + 1)
Let u(z) be the second derivative of -3*z**5/10 - 5*z**4/4 - 2*z**3 - 3*z**2/2 + 9*z. Factor u(q).
-3*(q + 1)**2*(2*q + 1)
Let p(z) be the first derivative of -4*z**3/15 - 2*z**2/5 + 15. Solve p(q) = 0.
-1, 0
Let d be (-3)/(-9) + (-14)/(-3). Factor -12*y**2 - 3*y - d*y**5 - 18*y**3 + y**5 - 12*y**4 + y**5.
-3*y*(y + 1)**4
Let a = 96 + -96. Let u(r) be the first derivative of -3/16*r**4 - 4 - 1/8*r**2 - 1/4*r**3 - 1/20*r**5 + a*r. Factor u(l).
-l*(l + 1)**3/4
Factor 1/6*c**3 + 9/2 + 9/2*c + 3/2*c**2.
(c + 3)**3/6
Let r be -3 + -17*5/(-25). Factor 1/5*w**2 + r*w + 1/5.
(w + 1)**2/5
Factor 3/2*y**2 - 3/2 + 0*y.
3*(y - 1)*(y + 1)/2
Factor 2 - 39*k**2 + 17*k**2 + 52*k + 2 - 34*k**2.
-4*(k - 1)*(14*k + 1)
Let d(g) = -6*g - 5*g**2 + 3*g**3 - g**2 + 6 + g**2. Let r(m) = -8*m**3 + 14*m**2 + 17*m - 19. Let j(l) = -7*d(l) - 2*r(l). Let j(o) = 0. What is o?
-1, 2/5, 2
Let x(g) be the second derivative of -g**4/20 - 3*g**3/10 - 3*g**2/5 + 22*g. Factor x(i).
-3*(i + 1)*(i + 2)/5
Let w = -2/321 + 430/321. Factor -25/3*u**5 - 10*u**4 + 0 + 4*u**2 - w*u + 11/3*u**3.
-u*(u + 1)**2*(5*u - 2)**2/3
Let p(m) be the first derivative of -m**6/60 + m**4/12 - 3*m**2/2 + 1. Let k(j) be the second derivative of p(j). Solve k(r) = 0.
-1, 0, 1
Let x(r) be the second derivative of -r**4/24 - r**3/12 + 9*r. Factor x(o).
-o*(o + 1)/2
Let c(b) be the third derivative of -b**9/8640 - b**8/1680 + b**7/1260 + b**5/20 - b**2. Let p(q) be the third derivative of c(q). Solve p(k) = 0.
-2, 0, 2/7
Determine z, given that 1/3*z**2 - 1/3 + 0*z = 0.
-1, 1
Let i(p) be the second derivative of -p**6/10 - 3*p**5/5 - 5*p**4/4 - p**3 - 8*p. Suppose i(s) = 0. What is s?
-2, -1, 0
Let k = -4 - -7. Determine m, given that -2*m**2 - 2*m**k + 2*m**2 - 2*m**2 = 0.
-1, 0
Let b = -3/41 - -127/615. Let a(d) be the third derivative of -b*d**3 + 0 + 0*d + 1/12*d**4 + d**2 + 7/150*d**5. Let a(o) = 0. What is o?
-1, 2/7
Let b(w) be the second derivative of w**5/90 - w**4/12 + 9*w**2/2 + 3*w. Let z(n) be the first derivative of b(n). Factor z(v).
2*v*(v - 3)/3
Let a = 16/21 + -2/21. Suppose 2*j = -s - 3*s + 16, -s - 4*j + 4 = 0. Solve 0 - 2/3*u - 4/3*u**5 + 2*u**3 - a*u**s + 2/3*u**2 = 0.
-1, 0, 1/2, 1
Let o = -38 - -42. Factor 49/2*p**3 - o - 105*p**2 + 343/2*p**4 + 38*p.
(p + 1)*(7*p - 2)**3/2
Let m = -3 + 5. Suppose 0 = -t - 3 + 5. Find l such that -2 + 2*l**2 + m*l**3 + 0*l**3 - t*l + 0*l**2 = 0.
-1, 1
Let d(u) = -7*u**5 - 3*u**4 + 4*u**3 + 6*u**2 - 6*u. Let j(h) = h**5 + h**4 - h**3 - h**2 + h. Let f(k) = -d(k) - 6*j(k). Factor f(a).
a**3*(a - 2)*(a - 1)
Let p be (-1 - (-8 - 0)) + 1. Let s be 0 - 1 - (-20)/p. Solve -9*j + s*j**2 + 27/2 = 0 for j.
3
Let s(w) be the first derivative of -w**6/48 + w**5/10 - 5*w**4/32 + w**3/12 + 3. Suppose s(b) = 0. What is b?
0, 1, 2
Let g(h) be t