 + 21*m**2. Factor t(j).
(j - 1)*(j + 1)**3*(5*j + 4)/2
Let s(u) be the first derivative of 1/10*u**5 - 7 + 13/6*u**3 + 3*u**2 + 3/4*u**4 + 2*u. Solve s(x) = 0 for x.
-2, -1
Find k, given that -2/7 - 3/7*k**2 - 5/7*k + 1/7*k**4 + 1/7*k**3 = 0.
-1, 2
Let k(c) be the first derivative of c**6/6 + 7*c**5/20 + c**4/8 - c**3/12 + 15. Factor k(r).
r**2*(r + 1)**2*(4*r - 1)/4
Let t(w) be the first derivative of w**6/2 - 9*w**4/4 + 2*w**3 + 2. Factor t(a).
3*a**2*(a - 1)**2*(a + 2)
Determine m, given that -4/7 + 4/7*m**2 - 2/7*m**3 + 2/7*m = 0.
-1, 1, 2
Factor 5*b + 0 - 1 + 3*b**2 + 7 - 14*b.
3*(b - 2)*(b - 1)
Let g(k) be the third derivative of 3*k**6/20 - k**5/30 + 10*k**2. Factor g(s).
2*s**2*(9*s - 1)
Suppose -8 = 3*q - 14. Let m(j) be the second derivative of 0 - 2*j + 0*j**3 + 0*j**q - 1/45*j**5 + 1/135*j**6 + 0*j**4 + 1/63*j**7. Factor m(h).
2*h**3*(h + 1)*(3*h - 2)/9
Let v(f) = -6*f**3 + 5*f**2 - 6*f. Let u(m) be the second derivative of m**5/5 - m**4/4 + 2*m**3/3 + 3*m. Let q(j) = -7*u(j) - 5*v(j). Factor q(h).
2*h*(h - 1)**2
Suppose s + 4 = 3*s. Factor -2*k**s + 0*k**2 + k**3 - 3*k**4 - 5*k**3 + k**4.
-2*k**2*(k + 1)**2
Factor 1/2*v**3 - v**2 + v**4 + 1/4*v**5 + 0 - 3/4*v.
v*(v - 1)*(v + 1)**2*(v + 3)/4
Let x = -14723225/1396 + 44980676777/4183812. Let r = -1/14985 + x. Find m such that r*m**3 - 88/5*m - 1568/5*m**4 + 16/5 - 68/5*m**2 + 686/5*m**5 = 0.
-2/7, 2/7, 1
Let q(k) be the first derivative of -1/2*k**2 - 4 + 0*k + 1/6*k**3. Factor q(s).
s*(s - 2)/2
Let l(z) = z**2 + 4*z + 3. Let i be l(-1). Factor 6/5*x**4 + 0 + 6/5*x**3 + 2/5*x**5 + 2/5*x**2 + i*x.
2*x**2*(x + 1)**3/5
Factor 2*k**2 + 0*k**2 + 2*k**2 - 8*k + 0*k + 4.
4*(k - 1)**2
Let p(u) be the third derivative of 11/10*u**5 + 0 - 3*u**2 + 13/8*u**4 - 1/10*u**6 - 9/112*u**8 + 0*u + u**3 - 12/35*u**7. Suppose p(o) = 0. Calculate o.
-2, -1, -1/3, 1
Let b(j) = -3*j - 1. Let h be b(-1). Let 2*m - 4 - m**3 - 2*m**h - m + 2 + 4 = 0. Calculate m.
-2, -1, 1
Factor -2*v**3 - 66*v + 68*v + 0*v**2 + v**4 - v**2.
v*(v - 2)*(v - 1)*(v + 1)
Let d(n) be the third derivative of -125*n**8/252 - 260*n**7/63 - 116*n**6/9 - 848*n**5/45 - 136*n**4/9 - 64*n**3/9 + 21*n**2. Factor d(k).
-4*(k + 2)**2*(5*k + 2)**3/3
Let c(r) be the second derivative of -r**7/315 - r**6/75 - r**5/50 - r**4/90 - 6*r. Factor c(n).
-2*n**2*(n + 1)**3/15
Suppose 4*x + t + 0 + 11 = 0, 2*x + 18 = 2*t. Let c = x - -6. Let -8*n - 3*n**c + 6*n + 4*n**2 = 0. What is n?
0, 2
Let k be -30*(-1)/(1 - -1). Suppose 0 = -5*x + 2*f - f + k, -x = -3*f - 17. Determine d so that -x*d**3 + d**2 + 5*d**4 + 4*d**3 - 4*d**4 = 0.
-1, 0
Factor 2/3*l**3 + 2*l**2 + 0*l + 0.
2*l**2*(l + 3)/3
Let q(c) = -c**2 - 5*c + 4. Let g be q(-5). Factor 0*p - g*p**2 + 5*p**2 - 2*p.
p*(p - 2)
Let u(n) = -n**3 - n. Let v(m) = 19*m**2 - 41*m + 8. Let h(y) = -35*u(y) + 5*v(y). Suppose h(q) = 0. Calculate q.
-4, 2/7, 1
Let h(i) be the third derivative of 0*i + 0 - 1/20*i**5 - 5/72*i**4 - 7/360*i**6 + 3*i**2 - 1/315*i**7 - 1/18*i**3. Determine s so that h(s) = 0.
-1, -1/2
Let x = 1 + 2. Suppose -x*h = -5*h. Factor -2/7*y**2 + 2/7*y + h.
-2*y*(y - 1)/7
Let i(c) be the third derivative of c**5/80 - 5*c**4/16 + 25*c**3/8 + 26*c**2. Factor i(n).
3*(n - 5)**2/4
Let p(j) be the first derivative of j**3/30 + 3*j**2/10 - 15. Find m, given that p(m) = 0.
-6, 0
Let z(i) be the first derivative of 0*i - 1/15*i**3 + 1/10*i**2 + 1. Factor z(c).
-c*(c - 1)/5
Let z(m) = 0 - 3 + 3 + 3*m. Let f be z(1). Factor -2*q - 3*q + 2*q + f*q**2.
3*q*(q - 1)
Factor -2/5*f**3 + 1/5*f**5 + 1/5 + 1/5*f**4 + 1/5*f - 2/5*f**2.
(f - 1)**2*(f + 1)**3/5
Suppose -r - 14 = -4*k - 3, -k - r = 1. Determine u so that -k*u**3 + 2*u**2 - 2/3*u + 0 + 2/3*u**4 = 0.
0, 1
Factor 8*c**2 - 15 - 5*c**3 + 15 + 2*c**2.
-5*c**2*(c - 2)
Suppose 2*p - 6 = 10. Determine o so that -3*o**5 + 6*o + 7*o**2 - 3*o**4 + p*o**2 + o**3 + 4*o**3 + 4*o**3 = 0.
-1, 0, 2
Let k(y) be the second derivative of 3*y**5/20 + y**4/4 - 2*y**3 - 6*y**2 - 10*y. Factor k(q).
3*(q - 2)*(q + 1)*(q + 2)
Let r(o) be the first derivative of 8*o**5/55 + o**4/22 - 8*o**3/11 - o**2 - 4*o/11 - 24. Let r(l) = 0. What is l?
-1, -1/4, 2
Let m(a) be the third derivative of 0 + 0*a + 1/160*a**6 + 1/840*a**7 - a**2 + 1/80*a**5 + 1/96*a**4 + 0*a**3. Factor m(y).
y*(y + 1)**3/4
Suppose 3*x + x = n + 11, 0 = -x - 5*n + 8. Let y(r) = r**3 + 7*r**2 - r - 4. Let v be y(-7). Solve 3*p**2 - 3*p**x - 4*p + 8*p**3 - 4 - p**v + p**4 = 0 for p.
-2, -1, 1
Let c be ((-3)/2)/(1/(-2)). Let z = 7 - 6. Factor -y**3 + c*y**2 + 0*y**3 + z - y - 2*y.
-(y - 1)**3
Let d(c) be the second derivative of 0 - 4*c + 27/2*c**2 + 15*c**3 + 3/5*c**5 - 23/4*c**4. Solve d(q) = 0 for q.
-1/4, 3
Let r = -1/121 + 259/2057. Suppose 2/17*d**2 + r*d + 0 = 0. Calculate d.
-1, 0
Let h = 59/90 + -5/9. Let l(i) be the first derivative of 0*i + 0*i**4 + h*i**5 - 1/6*i**3 + 2 + 0*i**2. Let l(a) = 0. What is a?
-1, 0, 1
Let z(j) be the third derivative of -j**10/105840 + j**9/52920 + j**8/11760 + 5*j**4/24 - 6*j**2. Let b(o) be the second derivative of z(o). Factor b(n).
-2*n**3*(n - 2)*(n + 1)/7
Suppose 5*y = -8 + 18. Suppose 2/5*m**3 - 4/5*m**y + 2/5*m + 0 = 0. Calculate m.
0, 1
Suppose 3*s + n + 1 = 0, n = 14*s - 12*s - 1. Factor s - 2/11*x**2 + 0*x - 2/11*x**3.
-2*x**2*(x + 1)/11
Let v be 2/1 + 8/(-5). Let w be (-21)/(-7) + (-4 + 0 - -3). Factor 2/5 - v*s**3 - 2/5*s**w + 2/5*s.
-2*(s - 1)*(s + 1)**2/5
Solve 4*y**4 + 114*y**2 + 18 - 110/3*y**3 - 126*y = 0.
1/6, 3
Suppose 2 - 4 - k + 3*k**2 - 2*k**2 = 0. Calculate k.
-1, 2
Let p(u) be the third derivative of 1/72*u**4 - 1/180*u**5 + 0 + 0*u + 3*u**2 + 1/18*u**3 - 1/360*u**6. Factor p(s).
-(s - 1)*(s + 1)**2/3
Let d be (-6)/(-9) - ((-125)/15 - -7). Factor 0 + 2/3*o**3 + 4/3*o - 2*o**d.
2*o*(o - 2)*(o - 1)/3
Let f(u) be the second derivative of u**5/4 - 5*u**4/12 - 25*u**3/6 - 15*u**2/2 - 2*u + 8. Suppose f(g) = 0. Calculate g.
-1, 3
Let p(i) be the first derivative of i**6/15 - 3*i**4/10 + 4*i**3/15 - 8. Solve p(k) = 0.
-2, 0, 1
Let a(b) = -b**2 + 3*b + 4. Let j(f) be the first derivative of -f**3/3 + f**2 + 3*f + 9. Let t(o) = -5*a(o) + 6*j(o). Factor t(d).
-(d + 1)*(d + 2)
Let k = 4 - 1. Factor -2*o**2 + k*o**5 + 2*o**4 - 2*o**5 + 2*o**2 - 2*o**2 - o.
o*(o - 1)*(o + 1)**3
Let c(t) be the first derivative of -5*t**3/3 + 5*t - 9. Factor c(h).
-5*(h - 1)*(h + 1)
Let p = 7 - 5. Factor -2*k**p - 2 - 2 - 4*k + 2.
-2*(k + 1)**2
Factor 1/3*w + 0 - 1/3*w**4 + 1/2*w**2 - 1/2*w**3.
-w*(w - 1)*(w + 2)*(2*w + 1)/6
Let g = -6 + 11. Suppose 0 = -4*x - g + 17. Factor 0*l**3 - 4*l + x*l + l**3.
l*(l - 1)*(l + 1)
Let g(y) be the second derivative of -y**7/21 + y**6/15 + y**5/10 - y**4/6 + 9*y. Solve g(t) = 0 for t.
-1, 0, 1
Let x be (2631/14)/(9/(-24)). Let f = x + 502. Factor f*s**3 + 0 - 2/7*s**4 - 6/7*s**2 + 2/7*s.
-2*s*(s - 1)**3/7
Let i(v) = v**3 - 16*v**2 - 13*v + 10. Let j be i(17). Let n = -230/3 + j. Let 2*c**2 + 1/3*c**4 - n*c**3 - 4/3*c + 1/3 = 0. Calculate c.
1
Factor -1/6*o**2 - 1/2*o + 0.
-o*(o + 3)/6
Let l be (-522)/(-33) - 4/(-22). Let r be (-3)/(-6)*(-4)/(-1). Determine i, given that -l*i**2 + 0*i**3 + 4*i + i**r - 4*i**3 + i**2 + 14*i**4 = 0.
-1, 0, 2/7, 1
Let u(j) be the third derivative of 1/90*j**6 + 1/9*j**3 - 1/315*j**7 + 0*j**5 - 1/18*j**4 + 0*j - 3*j**2 + 0. Factor u(n).
-2*(n - 1)**3*(n + 1)/3
Let b = 479/9 - 53. Determine f so that 2/9*f + 4/9 - 4/9*f**2 - b*f**3 = 0.
-2, -1, 1
Let v = -829/7 + 119. Suppose -2*h = 2*h - 8. Factor v*i**2 - h*i**3 + 0 + 0*i.
-2*i**2*(7*i - 2)/7
Let t(o) be the first derivative of -2*o**3/3 + 3*o**2 + 8*o + 13. Factor t(k).
-2*(k - 4)*(k + 1)
Let u = 6 - -2. Suppose -3*g + u + 1 = 0. Let 2/3*d**4 - 4/3*d**g + 0 + 2/3*d**2 + 0*d = 0. What is d?
0, 1
Let v be (6/40)/((-8)/(-40)). Solve -3/4*f + v*f**2 - 1/4*f**3 + 1/4 = 0 for f.
1
Let k be 7/((-2)/(-3 + 1)). Suppose -5*w = k - 22. Factor 14*n**4 - 32*n**w + 14*n**2 + 2*n - 6*n + 8*n**2.
2*n*(n - 1)**2*(7*n - 2)
Let h(j) be the first derivative of j**4/26 - j**2/13 - 7. What is g in h(g) = 0?
-1, 0, 1
Find y, given that 0 + 2/3*y**3 - 2/3*y**2 - 4/3*y = 0.
-1, 0, 2
Suppose 0 = 3*d - 2*d - 2*d. Let w(l) be the third derivative of 0 - 2*l**2 + d*l + 1/30*l**5 - 1/4*l**4 + 2/3*l**3. Factor w(k).
2*(k - 2)*(k - 1)
Factor -6/7*j**2 + 2/7*j**4 + 8/7 + 4/7*j**3 - 8/7*j.
2*