/66*o**4 + 8/33*o**3 + 1/110*o**5 + 0. Factor g(q).
2*(q - 2)**2*(q - 1)/11
Factor -4/3*n**2 + n + 0.
-n*(4*n - 3)/3
Let i(s) be the second derivative of s - 1/4*s**4 + 0 - 3*s**2 - 3/2*s**3. Factor i(c).
-3*(c + 1)*(c + 2)
Factor 0*b + 4/7*b**3 + 2/7*b**2 + 0 + 2/7*b**4.
2*b**2*(b + 1)**2/7
Factor -22*i - 13*i + i**2 - 14*i**4 + 31*i + 24*i**3 - 7*i**2.
-2*i*(i - 1)**2*(7*i + 2)
Let v(n) be the first derivative of 1/6*n + 2 + 1/6*n**3 + 1/3*n**2. Factor v(t).
(t + 1)*(3*t + 1)/6
Let b(m) be the second derivative of -m**7/14 - m**6/10 + 3*m**5/4 + m**4/4 - 4*m**3 + 6*m**2 - 11*m. Find h, given that b(h) = 0.
-2, 1
Let b(h) be the second derivative of h**6/360 + h**5/90 + h**4/72 - 5*h**2 + 5*h. Let o(q) be the first derivative of b(q). Factor o(x).
x*(x + 1)**2/3
Let l(j) be the third derivative of j**7/10080 + j**6/1440 + j**5/480 + j**4/24 + 4*j**2. Let a(v) be the second derivative of l(v). Solve a(g) = 0 for g.
-1
Let c(u) = 4*u**5 - 9*u**4 + 10*u**3 + 33*u**2 + 29*u + 19. Let w(x) = 3*x**5 - 9*x**4 + 9*x**3 + 33*x**2 + 30*x + 18. Let j(q) = -6*c(q) + 7*w(q). Factor j(s).
-3*(s - 2)*(s + 1)**3*(s + 2)
Let n = -35/774 + 9607/189630. Let s(c) be the third derivative of 1/392*c**8 + 0*c**3 + 0*c - 2*c**2 - 1/105*c**6 + n*c**7 + 0*c**4 + 0*c**5 + 0. Factor s(b).
2*b**3*(b + 2)*(3*b - 2)/7
Let n(v) be the third derivative of -v**6/480 + v**5/60 - v**4/32 - 14*v**2. Determine o so that n(o) = 0.
0, 1, 3
Let q(y) be the third derivative of -y**6/360 - y**5/60 + 2*y**3/9 + 12*y**2. What is b in q(b) = 0?
-2, 1
Suppose -2*p - s + 33 - 13 = 0, p + 5*s - 28 = 0. Let p*v - 5 + 0 - 1 + 2 - 4*v**2 = 0. What is v?
1
Let p(f) be the second derivative of -7*f**4/102 - 5*f**3/51 + 2*f**2/17 + 4*f. Factor p(x).
-2*(x + 1)*(7*x - 2)/17
Factor -8/13*s + 2/13*s**5 + 0 + 2/13*s**4 + 22/13*s**2 - 18/13*s**3.
2*s*(s - 1)**3*(s + 4)/13
Suppose -m - 1/3 - 4/3*m**4 + m**3 + 5/3*m**2 = 0. What is m?
-1, -1/4, 1
Factor -4*t**3 + 346 - 346 - t**5 + 5*t**3.
-t**3*(t - 1)*(t + 1)
Let g(h) = -h**2 + 4*h - 3. Let f be g(4). Let n be (-2)/f*4/8. Factor n*z**3 + 0 - 1/3*z**5 + 0*z + 0*z**2 + 0*z**4.
-z**3*(z - 1)*(z + 1)/3
Let b(o) be the second derivative of 1/120*o**6 + 0*o**3 + 0*o**2 + 0 + 0*o**4 + 6*o - 1/80*o**5. Determine w, given that b(w) = 0.
0, 1
Suppose -8*r + 7*r + 236 = 0. Let l = r - 2120/9. Factor 2/9*x**2 + l - 2/3*x.
2*(x - 2)*(x - 1)/9
Suppose 5*q + m - 16 = 0, 3*m + 3 = 2*q - 0. Factor -4*o**2 + 2*o**3 + 2*o**2 - 3*o**3 - o**q.
-2*o**2*(o + 1)
Let j(k) be the second derivative of -k**7/28 + k**6/6 - k**5/4 + 5*k**3/12 - k**2/2 - 3*k. Factor j(b).
-(b - 1)**4*(3*b + 2)/2
Let x(f) be the second derivative of -f**6/1080 - f**5/90 - f**4/18 - f**3/3 - 2*f. Let r(m) be the second derivative of x(m). What is j in r(j) = 0?
-2
Let k(q) be the second derivative of q**4/18 - q**3/3 + 2*q**2/3 - 13*q. Determine o, given that k(o) = 0.
1, 2
Let k(j) be the second derivative of -j**7/4200 - j**6/720 - j**5/300 - j**4/6 + 10*j. Let z(q) be the third derivative of k(q). Factor z(v).
-(v + 1)*(3*v + 2)/5
Suppose 9*m**2 - 17*m - 3*m**3 + 17*m = 0. What is m?
0, 3
Let y = 19 - 14. Factor -8*v**y - 11*v**3 + v**3 + 4*v - 2*v**3 - 20*v**4 + 4*v**2 + 0*v**4.
-4*v*(v + 1)**3*(2*v - 1)
Suppose 4*g + w - 4 = 0, 4*w - 4 = 5*g - 30. Suppose 6*s + s**2 - s + g - 2*s = 0. What is s?
-2, -1
Let g(y) = 2*y**2 + 11*y + 15. Let z be g(-6). Find t such that -z*t**2 - 10 + 11 - 13 + 2*t - 50*t = 0.
-2, -2/7
Let m(a) be the second derivative of -1/20*a**5 + 0*a**3 + 0 + 0*a**4 + 4*a - 2*a**2. Let u(x) be the first derivative of m(x). Factor u(y).
-3*y**2
Let a(m) = m**5 + 6*m**4 - 6*m**3 - m**2. Suppose 12 = 3*b + 3*k - 6, -4*b - 1 = -k. Let z(w) = -w**4 + w**3. Let p(q) = b*a(q) + 5*z(q). Factor p(y).
y**2*(y - 1)*(y + 1)**2
Let h = 4 + -6. Let i be ((-16)/6 - h)/(-2). Factor 0 - i*b + 2/3*b**2 - 1/3*b**3.
-b*(b - 1)**2/3
Let m(x) = 10*x**4 + 14*x**3 + 6*x**2 - 6*x + 8. Let u(l) = l**4 + l**3 - l + 1. Let d(o) = -m(o) + 8*u(o). Factor d(z).
-2*z*(z + 1)**3
Let x(b) = -b**2 + 6*b + 9. Let d be x(7). Find m, given that 5*m - 3*m - 2 - 16*m**3 + 2*m**d + 14*m**3 = 0.
-1, 1
Solve 2/7*q**2 + 4/7*q + 2/7 = 0.
-1
Let o(a) = -4*a**5 - 3*a**4 + 4*a**3 + 13*a**2 - 13. Let g(r) = r**5 + r**2 - 1. Let m(c) = 6*g(c) + 2*o(c). Solve m(b) = 0.
-2, 1, 2
Find d, given that 2/5*d**3 - 2/5*d + 0 - 2/5*d**2 + 2/5*d**4 = 0.
-1, 0, 1
Let u(h) be the third derivative of -4*h**2 + 0*h + 1/6*h**4 + 0*h**3 - 1/10*h**5 + 1/60*h**6 + 0. Factor u(d).
2*d*(d - 2)*(d - 1)
Find g such that 4*g + 18*g**3 - 9*g**2 + g**2 - 14*g**3 = 0.
0, 1
Suppose -3*t - 4*g = -62 - 17, -3*t + 78 = 3*g. Suppose 5*m + t = -4*v, 4*v - 20 = -0*v + 4*m. Factor 0 + 2/7*y**3 + v*y**2 + 0*y.
2*y**3/7
Suppose -10 = -o - 5*k, -8 = -5*k + k. Let n(l) be the second derivative of 1/15*l**3 + o + 0*l**2 + 1/15*l**4 + l + 1/50*l**5. Let n(t) = 0. Calculate t.
-1, 0
Let c be (-4 - -3)*-1 + -3. Let m = 7/3 + c. Factor m*f - 1/3*f**3 + 0 + 0*f**2.
-f*(f - 1)*(f + 1)/3
Suppose 2*h - 5*t + 1 = 5, 5*h - 5*t - 10 = 0. Factor q**4 + 3*q**3 + 3*q**4 - 3*q**2 + h*q**2.
q**2*(q + 1)*(4*q - 1)
Let n(o) = 6*o**4 - 3*o**3 - 6*o**2 - 2*o - 5. Let w(z) = -7*z**4 + 4*z**3 + 7*z**2 + 2*z + 6. Let i(l) = 6*n(l) + 5*w(l). Find b such that i(b) = 0.
-2, -1, 0, 1
Let b(a) be the third derivative of -a**7/210 + a**6/20 - a**5/5 + 5*a**4/12 - a**3/2 - 8*a**2. Solve b(v) = 0.
1, 3
Suppose -5*q + 0*q = 160. Let k be (2/(-3))/(q/12). Factor 1/4*d**5 - k*d**2 - 1/4*d**3 + 1/4*d**4 + 0 + 0*d.
d**2*(d - 1)*(d + 1)**2/4
Let f(c) be the third derivative of -1/180*c**6 - 1/18*c**4 + 0 + 0*c + 5*c**2 + 0*c**3 + 1/30*c**5. Factor f(g).
-2*g*(g - 2)*(g - 1)/3
Let v = -2 + 6. Factor -2*p**3 + 5*p**3 - v*p**3.
-p**3
Let z(b) be the first derivative of -b**5/10 - 3*b**4/8 + b**3/6 + 3*b**2/4 + 62. Let z(a) = 0. Calculate a.
-3, -1, 0, 1
Let d be 4/(2/1) - -2. Let u(q) be the third derivative of 0*q**3 + 1/35*q**7 - 1/6*q**d - 2/15*q**6 - 2*q**2 + 0 + 0*q + 7/30*q**5. Factor u(c).
2*c*(c - 1)**2*(3*c - 2)
Let c = 22 - 14. Factor -9*i**3 + c*i**3 - i**3 + 2*i - 4*i**2 + 4.
-2*(i - 1)*(i + 1)*(i + 2)
Let q(z) be the first derivative of -1/4*z**4 - 4 - 2/3*z**2 - 8/3*z + 10/9*z**3. Factor q(n).
-(n - 2)**2*(3*n + 2)/3
What is s in -18*s**2 + 6*s**2 - 17*s + 16 - 4*s**4 + s + 16*s**3 = 0?
-1, 1, 2
Let j(z) = 3*z - 14. Let x be j(6). Let a(p) = 48*p**4 - 48*p**3 - 27*p + 27. Let k(c) = -7*c**4 + 7*c**3 + 4*c - 4. Let h(r) = x*a(r) + 27*k(r). Factor h(d).
3*d**3*(d - 1)
Let k = 4 + -19/5. Determine u, given that -k*u**2 + 3/5*u - 2/5 = 0.
1, 2
Let n(k) = -k**3 + 7*k**2 - 4*k - 5. Let g be n(6). Factor 6 + 0*m**3 + 3*m**3 + g*m**2 + 15*m + 5*m**2.
3*(m + 1)**2*(m + 2)
Let t(y) = -2*y - 2. Let d be t(-2). Let x(z) = -z**2 - z - 1. Let c(i) = 2*i. Let b(m) = d*x(m) - c(m). Factor b(v).
-2*(v + 1)**2
Let q(v) be the third derivative of 0 + 1/504*v**8 + 0*v**3 - v**2 + 0*v + 1/315*v**7 + 0*v**4 - 1/90*v**5 - 1/180*v**6. Factor q(w).
2*w**2*(w - 1)*(w + 1)**2/3
Let j(y) be the second derivative of y**5/5 + 2*y**4/3 + 2*y**3/3 + 2*y. Factor j(s).
4*s*(s + 1)**2
Factor -18*m**2 + 49 + 51 - 50*m - 88.
-2*(m + 3)*(9*m - 2)
Let r be -6*(-16)/(-24) - (-32)/6. Let t = 11 - 7. Determine p, given that -r*p + 8/9*p**5 + 4/9*p**3 + 2/9 - 2*p**t + 16/9*p**2 = 0.
-1, 1/4, 1
Factor -2/21*v**2 + 2/21*v + 4/21.
-2*(v - 2)*(v + 1)/21
Let u be 2/(-8)*(2 + (-6)/2). Let t = 8/5 - 27/20. Find c such that u*c**2 + t - 1/2*c = 0.
1
Factor 0*o - 2/3*o**2 - 2*o**4 - 2*o**3 - 2/3*o**5 + 0.
-2*o**2*(o + 1)**3/3
Let x(z) = -6*z**3 - 8*z**2 - 4*z - 4. Let q(v) = -v**3 - v**2 - v - 1. Let l(k) = -4*q(k) + x(k). Solve l(h) = 0 for h.
-2, 0
Let z(b) = -b + 7. Let n be z(5). Let k = -2 - -6. Factor -n - t + 0 - t**2 + k.
-(t - 1)*(t + 2)
Let d(g) be the third derivative of 5*g**8/336 + 2*g**7/21 + g**6/6 + 22*g**2. Find o such that d(o) = 0.
-2, 0
Let c(y) be the first derivative of -2*y + 0*y**2 + 4 + 2/3*y**3. Factor c(z).
2*(z - 1)*(z + 1)
Let g(k) = -k**5 - k**4 - k**3 - 1. Let q(o) = -23*o**5 - 29*o**4 + 79*o**3 + 45*o**2 - 48*o - 8. Let b(d) = -4*g(d) - q(d). Find n, given that b(n) = 0.
-2, -1, -2/9, 1
Let x(k) = k**2 + 17*k + 45. Let b be x(-14). Suppose 2/9*a**b + 2/9*a**2 - 2/9*a - 2/9 = 0. What is a?
-1, 1
Let v = 15 +