 8*h**5/35 - 21. Factor i(x).
2*x**4*(x + 4)/7
Let g be (4 - 3)/(3/(-142)). Let q = g + 50. Suppose q*l**3 + 8/3*l**2 + 0*l + 0 + 2/3*l**4 = 0. What is l?
-2, 0
Suppose 5*s - 12 - 18 = 0. Suppose 6*r**3 - s*r**2 - 2*r**4 + r + r + 0*r = 0. What is r?
0, 1
Factor -2*d**5 + 0*d**4 - 3*d**4 + 5*d**5 + 0*d**4.
3*d**4*(d - 1)
Let d(i) be the third derivative of -i**8/6720 - i**7/840 - i**6/240 - i**5/120 - i**4/6 - 3*i**2. Let r(j) be the second derivative of d(j). Factor r(z).
-(z + 1)**3
Let 35 - 27 - 2*k**3 - 8*k**2 + 2*k**2 = 0. What is k?
-2, 1
Let o(g) be the third derivative of -g**7/135 - g**6/270 + 7*g**5/270 + g**4/54 + 4*g**2. Solve o(w) = 0.
-1, -2/7, 0, 1
Let v(b) be the second derivative of 7*b + 0 - 2/9*b**3 - 1/18*b**4 + 0*b**2 + 1/30*b**5. Factor v(j).
2*j*(j - 2)*(j + 1)/3
Suppose 13*d = 15*d + 38. Let v = d + 22. Determine n so that 0*n - 1/4*n**v + 1/4*n**2 + 0 = 0.
0, 1
Let y(h) = -h**2 + h + 1. Let g(c) = -19*c**2 + 6*c + 15. Let o(w) = g(w) - 6*y(w). Let j(q) = -6*q**2 + 4. Let t(v) = 9*j(v) - 4*o(v). Factor t(b).
-2*b**2
Solve 4*k**4 + 0 - 44/5*k**2 + 48/5*k**3 - 24/5*k = 0.
-3, -2/5, 0, 1
Let c = -234331/105070 + 5/3002. Let r = c + 14/5. Factor 4/7*q**3 + r*q**2 - 2/7*q**4 - 2/7 - 2/7*q**5 - 2/7*q.
-2*(q - 1)**2*(q + 1)**3/7
Factor 23*x**5 + 2*x**2 - 2*x**4 + 6*x**3 + 8*x**2 + 4*x - 25*x**5.
-2*x*(x - 2)*(x + 1)**3
Suppose 0*z - 2*z = 20. Let v be 8/20 + 4/z. Let 2/3*s**3 - 2/3*s**5 + 0 - 2/3*s**2 + 2/3*s**4 + v*s = 0. What is s?
-1, 0, 1
Let c(u) be the first derivative of 2/21*u**3 + 3 - 4/7*u - 1/7*u**2. Suppose c(l) = 0. What is l?
-1, 2
Suppose -a = -11*a + 20. Find q, given that 0*q**4 + 0*q**a + 0*q + 0*q**3 - 2/9*q**5 + 0 = 0.
0
Let v be (-1 - -2)/((-17)/(-51)). Let b(y) be the third derivative of 0 - 1/48*y**4 + 0*y + 2*y**2 + 1/240*y**6 + 0*y**v + 0*y**5. Solve b(r) = 0 for r.
-1, 0, 1
Let r be 1/(-5) - ((-1105)/175)/13. Factor -4/7*d**2 - 2/7*d - 2/7*d**5 + 4/7*d**3 + r*d**4 + 2/7.
-2*(d - 1)**3*(d + 1)**2/7
Let o(t) be the second derivative of -t**9/4536 - t**8/840 - t**7/420 - t**6/540 + 7*t**3/6 - t. Let j(u) be the second derivative of o(u). Factor j(g).
-2*g**2*(g + 1)**3/3
Suppose -p = 4*v - 42, 58 = 5*v + 3*p + p. Suppose t = -t + v. Factor -1/2*n**2 - 3/2*n**3 - 1/2*n**t - 3/2*n**4 + 0*n + 0.
-n**2*(n + 1)**3/2
Factor -9/5*p**2 + 2/5*p + 0 - p**3.
-p*(p + 2)*(5*p - 1)/5
Factor -2*a - 4 - 4*a**2 + 12 + 6*a.
-4*(a - 2)*(a + 1)
Factor 0 - 4/7*v**2 + 4/7*v**3 - 8/7*v.
4*v*(v - 2)*(v + 1)/7
Determine i, given that 3*i**2 + 9*i + i**2 - 20 + 17*i - 10*i = 0.
-5, 1
Let d(p) be the second derivative of 4*p**4/9 - 10*p**3/3 - 8*p**2/3 + 14*p. Suppose d(i) = 0. What is i?
-1/4, 4
Let g(i) be the third derivative of -1/504*i**8 + 0*i**6 - 2*i**2 + 0*i**3 + 0 + 0*i**5 + 0*i + 1/315*i**7 + 0*i**4. Factor g(n).
-2*n**4*(n - 1)/3
Suppose 0 = -3*l - 378 + 384. Solve 4/11*k**l + 0 - 2/11*k - 2/11*k**3 = 0 for k.
0, 1
Suppose 99*c - 6 = 96*c. Factor 0*d**c - 4/5*d**3 + 2/5*d**4 - 2/5 + 4/5*d.
2*(d - 1)**3*(d + 1)/5
Let a(o) be the third derivative of 1/75*o**5 + 1/60*o**6 + 0*o + 0*o**3 - 3*o**2 + 0*o**4 + 0 - 1/75*o**7. Find x, given that a(x) = 0.
-2/7, 0, 1
Suppose 0 = l + y + 12, -3*l + 2*l - 16 = 3*y. Let p(a) = -a - 5. Let z be p(l). Factor 1/4*b**2 + 0*b + 1/4*b**z - 1/4*b**3 + 0 - 1/4*b**4.
b**2*(b - 1)**2*(b + 1)/4
Let t(k) be the second derivative of -k**6/60 - k**5/30 + 3*k**2/2 + 3*k. Let y(f) be the first derivative of t(f). Factor y(q).
-2*q**2*(q + 1)
Factor 48*h**4 + 8*h**2 - 134*h**3 + 20*h**5 + 71*h**3 + 99*h**3.
4*h**2*(h + 1)**2*(5*h + 2)
Let o be ((-25)/20)/((-4)/16). Let r(g) be the first derivative of 1/18*g**6 + 0*g**2 - 1/9*g**3 - 1/5*g**o + 1/4*g**4 + 0*g - 1. Suppose r(t) = 0. Calculate t.
0, 1
Let v(o) be the first derivative of o**7/525 - o**5/50 - o**4/30 + o**2/2 + 3. Let l(r) be the second derivative of v(r). Factor l(f).
2*f*(f - 2)*(f + 1)**2/5
Suppose 0 = -4*h - 3*k, 2*h + 9*k - 14 = 11*k. Suppose 2/13*b - 2/13 - 2/13*b**h + 2/13*b**2 = 0. What is b?
-1, 1
Suppose 3*v = -f + 3, -2*f + 7*v - 2*v - 5 = 0. Suppose 3*c = -f*c. Factor -2 + c + 4 - x**2 - x.
-(x - 1)*(x + 2)
Let h(b) be the third derivative of b**8/4480 + b**4/12 + 7*b**2. Let x(l) be the second derivative of h(l). Factor x(i).
3*i**3/2
Let f(o) be the third derivative of o**8/1680 - o**7/360 + o**6/360 + o**5/120 - o**4/8 - 5*o**2. Let n(l) be the second derivative of f(l). Factor n(s).
(s - 1)**2*(4*s + 1)
Let l(j) be the third derivative of j**5/100 + j**4/10 + 3*j**3/10 + 32*j**2. Determine x so that l(x) = 0.
-3, -1
Factor 3*u**2 - 14 - 9 - 4 + 24.
3*(u - 1)*(u + 1)
Let p(f) = -f**3 - f**2 + f. Let v(z) = -112*z**3 - 452*z**2 - 612*z - 288. Let n(x) = -12*p(x) + v(x). Factor n(w).
-4*(w + 2)*(5*w + 6)**2
Let r(g) = g**3 - 8*g**2 + 12*g + 3. Let y be r(6). Let z be -2 + (y - 3/5). Factor -4/5*j**2 + 0*j**3 + 2/5*j**5 - z*j + 0 + 4/5*j**4.
2*j*(j - 1)*(j + 1)**3/5
Suppose 0 + 2 = 2*p. Suppose 4*a - 9 = i, 5*i - 4*a - 2 - p = 0. Factor 2/3*d**2 - 2/3*d**4 + 2/3*d**5 + 0 + 0*d - 2/3*d**i.
2*d**2*(d - 1)**2*(d + 1)/3
Let m(p) = -4*p + 8. Let h(w) = w**2 - 5*w + 9. Let g(j) = 4*h(j) - 5*m(j). Factor g(v).
4*(v - 1)*(v + 1)
Let w(q) be the second derivative of -q**7/8 + 23*q**6/60 + 11*q**5/10 + q**4 + 2*q**3/3 - 7*q. Let g(j) be the second derivative of w(j). Solve g(r) = 0.
-2/5, -2/7, 2
Let j be 4/(-22) + 17/(935/450). Factor -16/3*c + j*c**3 - 16/3 + 44/3*c**2 - 12*c**4.
-4*(c - 1)**2*(3*c + 2)**2/3
Let g = -5/23 - -43/92. Solve 1/4*q**4 + 3/4*q**2 + 3/4*q**3 + 0 + g*q = 0.
-1, 0
Let l(z) = -8*z**3 - 113*z**2 - 308*z - 270. Let r(t) = 3*t**3 + 38*t**2 + 103*t + 90. Let m(h) = -2*l(h) - 7*r(h). Let m(x) = 0. What is x?
-3, -2
Let u(g) be the third derivative of -g**8/112 + g**7/35 - g**5/10 + g**4/8 - 8*g**2. Suppose u(n) = 0. Calculate n.
-1, 0, 1
Suppose -3*o + 13 = -v - 5, 3*o + v = 18. Factor 3 + o*s**3 - 2*s - 10*s**2 + 1 + 2*s**2.
2*(s - 1)**2*(3*s + 2)
Let y be (-2)/(-11) - 39/33. Let h be 4 + y/((-2)/(-4)). Determine c so that -6*c**2 - c**3 + c**2 + 4*c**h = 0.
-1, 0
Let d(p) be the first derivative of 9/2*p**2 + 6*p - 2*p**3 - 1. Find q such that d(q) = 0.
-1/2, 2
Factor 3/2*j**2 + 0 + 6*j.
3*j*(j + 4)/2
Let x(g) be the first derivative of g**4/4 - 2*g**3/3 - 1. Factor x(r).
r**2*(r - 2)
Let r(u) be the third derivative of u**6/1080 - u**4/72 + u**3/3 + 3*u**2. Let f(b) be the first derivative of r(b). Factor f(y).
(y - 1)*(y + 1)/3
Suppose -4*h + 9 = q, 4*h - 2*h = 4*q. What is f in 0*f**h + 5*f**2 - 2*f**2 + 3*f = 0?
-1, 0
Suppose 31*g**5 - 34*g**5 + 3*g**2 + 10*g**2 - 11*g**4 + 48*g + 16 + 27*g**2 = 0. Calculate g.
-2, -1, -2/3, 2
Factor 1/3 + 1/3*y**2 + 2/3*y.
(y + 1)**2/3
Let d(f) be the second derivative of -3*f**2 + 1/2*f**3 + 0 + 1/4*f**4 - 3*f. Let d(o) = 0. What is o?
-2, 1
Suppose 4*s - 18 = y, -6 = 2*y + y. Determine a so that 25*a**4 + s + 0*a**2 - 4 - 10*a**3 + a**2 = 0.
0, 1/5
Let g(o) = -196*o**3 - 1120*o**2 - 1428*o + 484. Let i(h) = -28*h**3 - 160*h**2 - 204*h + 69. Let t(k) = -3*g(k) + 20*i(k). Factor t(q).
4*(q + 3)**2*(7*q - 2)
Let t be (-6)/(-77)*(-35)/(-15). Let -2/11*z**4 + t*z**2 + 0 + 2/11*z - 2/11*z**3 = 0. Calculate z.
-1, 0, 1
Let t(q) be the second derivative of 0*q**6 - 1/2*q**2 + 0 + 0*q**5 + 0*q**3 + 2*q + 0*q**4 + 1/420*q**7. Let y(c) be the first derivative of t(c). Factor y(j).
j**4/2
Let d(o) be the third derivative of -o**2 + 0*o + 0 + 1/5*o**5 + 1/2*o**4 + 1/30*o**6 + 2/3*o**3. Let d(q) = 0. What is q?
-1
Let l(k) be the first derivative of 7*k**3 + 39*k**2 - 24*k + 30. Suppose l(v) = 0. Calculate v.
-4, 2/7
Suppose 21 = -5*l + 4*l. Let f be (1 + -3)*7/l. Factor f*m - 1/3 - 1/3*m**2.
-(m - 1)**2/3
Let z be (0/(0 + -2))/(-2 - -1). Factor -1/3*o**2 + z + 1/3*o**3 + 0*o.
o**2*(o - 1)/3
Suppose 0 = -31*p + 30*p + 4*f - 16, 7 = 3*p - f. Factor 0*l**2 - 1/4*l**3 - 3/4*l**5 + 0*l - l**p + 0.
-l**3*(l + 1)*(3*l + 1)/4
Let n(a) be the second derivative of -a**7/1400 - a**6/300 + a**5/200 + a**4/20 + a**3 + 4*a. Let d(m) be the second derivative of n(m). Solve d(x) = 0 for x.
-2, -1, 1
Let b(w) be the third derivative of -w**9/151200 - w**8/50400 + w**5/20 + 4*w**2. Let r(j) be the third derivative of b(j). Factor r(k).
-2*k**2*(k + 1)/5
Let w(k) = -9*k - 15. Let a be w(-2). Let x(b