3 - 2*q. Factor n(t).
-2*(t + 2)**2/13
Let r(y) be the third derivative of -y**7/84 + y**6/12 - y**5/4 + 5*y**4/12 - 5*y**3/12 + 5*y**2 + 1. Let r(u) = 0. What is u?
1
Let k(r) = -2*r + 1 + 1 - 4. Let n be k(-2). Solve -h**n - 4*h**2 - 2*h - 1 + 4*h**2 = 0 for h.
-1
Factor -6/7*n - 8/7*n**2 + 2/7.
-2*(n + 1)*(4*n - 1)/7
Let w(r) be the first derivative of r**4/20 + 2*r**3/15 - r**2/10 - 2*r/5 + 2. Let w(n) = 0. Calculate n.
-2, -1, 1
Let i(x) = 6*x + 78. Let l be i(-12). Determine p so that 6*p**5 + 87*p**3 + 42*p - 75/2*p**4 - l - 183/2*p**2 = 0.
1/4, 1, 2
Suppose 3*g + 11 = 11. Factor g*n**3 + 0 - 1/4*n**4 + 0*n + 1/4*n**2.
-n**2*(n - 1)*(n + 1)/4
Let f be (-2 + 0 - -4) + 2. Let o be f/10 - (-2)/(-5). What is x in 0*x + o*x**3 - 1/2*x**4 + 0*x**2 + 0 = 0?
0
Factor -13*c**4 + 34*c**2 + 20*c + 8*c**4 - 29*c**2 - 20*c**3.
-5*c*(c - 1)*(c + 1)*(c + 4)
Factor -8/5*q**3 + 0*q**4 + 2/5*q**5 + 6/5*q - 4/5*q**2 + 4/5.
2*(q - 2)*(q - 1)*(q + 1)**3/5
Let a = -502/9 + 56. Find c, given that -a*c**5 + 8/9*c**4 - 4/3*c**3 + 0 + 8/9*c**2 - 2/9*c = 0.
0, 1
Let o = -38/7 + 232/35. Find g, given that 2/5*g**2 + o*g + 4/5 = 0.
-2, -1
Let o(g) be the third derivative of -g**5/30 + g**3/3 - 9*g**2. What is a in o(a) = 0?
-1, 1
Let m(h) be the first derivative of -3 + 0*h**5 - 1/9*h**6 + 0*h**2 + 0*h + 0*h**3 + 1/6*h**4. Solve m(l) = 0 for l.
-1, 0, 1
Let y(m) be the second derivative of m**4/48 - m**3/8 + 12*m. Let y(i) = 0. What is i?
0, 3
Let z(j) = j**3 + 4*j**2 + j. Let n be z(-3). Let d be (-3)/n*0 - 0. Solve d*m - 3/2*m**2 - 3/2*m**4 + 3*m**3 + 0 = 0.
0, 1
Let q(p) be the second derivative of 0*p**2 - 9*p + 1/34*p**4 + 0*p**3 + 0 + 1/255*p**6 + 1/357*p**7 - 1/34*p**5. Let q(z) = 0. Calculate z.
-3, 0, 1
Let l(u) be the second derivative of -u**5/80 + u**4/6 - 5*u**3/6 + 2*u**2 - 23*u. Factor l(z).
-(z - 4)*(z - 2)**2/4
Let j(q) be the first derivative of -3*q**5/5 + 3*q**4/4 + 3*q**3 - 3*q**2/2 - 6*q - 5. What is w in j(w) = 0?
-1, 1, 2
Let w be (-3)/6 - 3/(-6). Factor -1/5*m**4 - 1/5*m**3 + 0*m**2 + 0*m + w.
-m**3*(m + 1)/5
Suppose 0 = -k + 2*v - 6, 4*k - 13 = -4*v - 1. Let y(u) be the first derivative of -2 + u**2 + k*u + 2/3*u**3. Factor y(l).
2*l*(l + 1)
Let p = 619 + -5569/9. Let q = 5 - 3. Suppose 4/9*h + 2/9 + p*h**q = 0. Calculate h.
-1
Let v be (-2)/12 - -3*5/90. Factor v*k + 0 - 1/2*k**3 - 1/2*k**2.
-k**2*(k + 1)/2
Let z(x) = 8*x**5 + 2*x**4 + 3*x**3 - 13*x**2 - 13*x. Let i(c) = c**5 - c**2 - c. Let t(m) = 18*i(m) - 2*z(m). Let t(r) = 0. Calculate r.
-1, 0, 2
Let g(z) be the third derivative of 5*z**6/24 - 2*z**5/3 - 5*z**4/6 - 15*z**2. Factor g(q).
5*q*(q - 2)*(5*q + 2)
Let n(v) be the third derivative of -v**4/8 - v**3/6 - v**2. Let c be n(-1). Factor 2*i - 1/2*i**2 - c.
-(i - 2)**2/2
Factor 1/3*x**2 + 0 - 2/3*x.
x*(x - 2)/3
Let r(k) = k**3 - k**2 - 3*k + 3. Let u be r(0). Factor -9/2*c - 3/2*c**2 - u.
-3*(c + 1)*(c + 2)/2
Let d(n) be the second derivative of -3/10*n**5 + 0 + 3*n + 3/2*n**2 - 3/10*n**6 + 3/2*n**3 - 1/14*n**7 + 1/2*n**4. Factor d(p).
-3*(p - 1)*(p + 1)**4
Let g = 0 - -4. Find k such that 2*k**2 - g + 0 + 2*k + 0*k**2 = 0.
-2, 1
Let v(y) be the first derivative of y**4/14 - 4*y**3/21 - 1. Factor v(j).
2*j**2*(j - 2)/7
Suppose -4*z + 8 = -r, 6 = -z - 2*r + 8. Solve -z*p**3 + 1 + 4*p - 12*p**2 + 20*p - 17 + 4*p**3 = 0 for p.
2
Let c(m) = -6*m**2 - m. Let x(b) be the second derivative of 0 + 0*b**2 + 13/12*b**4 - b + 1/2*b**3. Let s(r) = 5*c(r) + 2*x(r). Factor s(f).
-f*(4*f - 1)
Let h(w) be the third derivative of -w**8/112 - w**7/21 - w**6/12 + 5*w**4/24 + w**3/3 + 3*w**2. Let h(m) = 0. Calculate m.
-1, 2/3
What is s in -2/11*s**5 - 18/11*s**4 - 50/11 + 30/11*s + 68/11*s**2 - 28/11*s**3 = 0?
-5, -1, 1
Let d be (4/18)/(2/389). Let k = d - 43. Factor 0*f + 0 + 2/9*f**3 + k*f**2.
2*f**2*(f + 1)/9
Let z = 2 - 6. Let c = z + 8. Factor 5/2*q**3 + 0 + 4*q**2 + 1/2*q**c + 2*q.
q*(q + 1)*(q + 2)**2/2
Suppose 4*z + 2*x = -x + 29, 5*z - 31 = -2*x. Factor -2*b - 6*b**4 + b**2 + 2 + 4*b**3 - 2*b**5 + 8*b**4 - z*b**2.
-2*(b - 1)**3*(b + 1)**2
Solve 0*v + 0 + 12/5*v**4 - 9/5*v**3 - 3/5*v**2 = 0.
-1/4, 0, 1
Let o(j) be the second derivative of j**5/60 - 5*j**4/36 + 4*j**3/9 - 2*j**2/3 + 4*j. Determine y, given that o(y) = 0.
1, 2
Let y be (-65)/(-7) + 16/(-56). Solve -13*s**2 + s**2 + 2 + 3*s - s**3 + s**4 + y*s**2 - 2*s = 0 for s.
-1, 1, 2
Let u(o) = o**4 + o**2. Let g(r) = -5*r**4 + 2*r**3 - 14*r**2. Let b(c) = -g(c) - 6*u(c). Factor b(f).
-f**2*(f - 2)*(f + 4)
Let b(p) be the second derivative of p**5/40 + 5*p**4/48 + p**3/24 - p**2/4 - p. Let b(h) = 0. What is h?
-2, -1, 1/2
Let x = -165/2 + 83. Factor -x + 0*v + 1/2*v**2.
(v - 1)*(v + 1)/2
Suppose 1 - 12 = -4*g + 3*l, -g = -4*l - 6. Suppose f = 5*h - 7, g*h + 5*f - 21 = -h. Factor -2*t**2 + 4*t**5 + h*t**4 - 3*t**5 - 3*t + 2*t.
t*(t - 1)*(t + 1)**3
Let o(q) be the second derivative of -q**8/560 - q**7/140 - q**6/120 + q**3/6 + q. Let n(p) be the second derivative of o(p). Solve n(j) = 0.
-1, 0
Let t be (-24)/6*(-10)/8. Let r(d) be the third derivative of 0 + d**2 - 4/15*d**3 + 0*d - 1/15*d**4 - 1/150*d**t. Determine u, given that r(u) = 0.
-2
Let f(q) = 4*q**3 + 9*q**2 + 15*q + 4. Let b(v) = v**2 - v. Let r(s) = 3*b(s) + f(s). Find k such that r(k) = 0.
-1
Factor 0 + 1/3*q**4 + 0*q + 0*q**3 - 1/3*q**2.
q**2*(q - 1)*(q + 1)/3
Let z(h) be the second derivative of h**8/560 - h**6/120 + h**3/2 - 6*h. Let j(v) be the second derivative of z(v). Suppose j(l) = 0. Calculate l.
-1, 0, 1
Let j(r) be the second derivative of 0*r**2 - 1/98*r**7 + 3/70*r**6 + 0 + 1/28*r**4 - 9/140*r**5 + 0*r**3 + 7*r. Determine b, given that j(b) = 0.
0, 1
Solve 2/3*b**2 - 2*b + 4/3 = 0.
1, 2
Let m(d) = d**2 - d - 1. Let i(y) = 7*y**2 - 16*y - 12. Let n(r) = 2*i(r) - 22*m(r). Factor n(j).
-2*(j + 1)*(4*j + 1)
Let p(r) be the third derivative of 0*r - 2*r**2 - 1/3*r**3 + 1/12*r**4 + 0 - 1/30*r**5 + 1/180*r**6. Let c(l) be the first derivative of p(l). Factor c(t).
2*(t - 1)**2
Let g(o) be the first derivative of o**5/150 + o**4/15 + 4*o**3/15 - 2*o**2 - 1. Let u(t) be the second derivative of g(t). Determine r, given that u(r) = 0.
-2
Let c(m) be the second derivative of 36/7*m**3 - 9/7*m**4 - 81/7*m**2 - 2*m - 1/105*m**6 + 6/35*m**5 + 0. Factor c(o).
-2*(o - 3)**4/7
Suppose -2*m + m + 5*h = -5, 5*m + 2*h = -2. Suppose -5*t = -2*k + 24, -k + t + t + 10 = m. Determine b so that 0 + 2/5*b**k - 2/5*b = 0.
0, 1
Suppose 2*p - 3*a + 8 - 19 = 0, -a = 4*p - 1. Let n(w) be the first derivative of p - 2/3*w**3 - 2/3*w - w**2 - 1/6*w**4. Factor n(t).
-2*(t + 1)**3/3
Let t = 25/46 - 1/23. Let s = -38/3 - -79/6. Factor -s + t*j**2 + 0*j.
(j - 1)*(j + 1)/2
Let c be (-13)/(-5) - 4/(-10). Let y(g) = -g**2 - 4*g + 14. Let v be y(-6). Factor 3 - 32*s**v - 5 + c*s + 13*s.
-2*(4*s - 1)**2
Let r(d) = -6*d**3 + 4*d**2 + 11*d. Let p = -22 - -36. Let k(o) = -o**3 + o. Let v(j) = p*k(j) - 2*r(j). Solve v(i) = 0.
-2, 0
Suppose x = -x. Solve x*u**3 - 3*u**3 - u**2 - 6*u**2 + 7*u**3 - 2*u = 0 for u.
-1/4, 0, 2
Let z(r) be the first derivative of -r**6/1260 + r**5/420 + r**4/42 + r**3 - 2. Let v(q) be the third derivative of z(q). Factor v(u).
-2*(u - 2)*(u + 1)/7
Let g = 53341/60 + -889. Let f(t) be the third derivative of 0 - 1/6*t**3 + 0*t**4 + 0*t + g*t**5 + t**2. Suppose f(x) = 0. What is x?
-1, 1
Let r(d) be the first derivative of -3/8*d**2 - 1/12*d**3 - 2 - 1/2*d. Factor r(y).
-(y + 1)*(y + 2)/4
Let g = -16 + 16. Let y(z) be the second derivative of -1/36*z**4 + 2*z + 1/3*z**2 + g - 1/18*z**3. Factor y(o).
-(o - 1)*(o + 2)/3
Let i be 76/8 - 15/(15/(-3)). Suppose -2 - 8*u + i*u**3 - 5/2*u**2 = 0. Calculate u.
-2/5, 1
Factor -4/7*g**3 + 0 + 8/7*g + 4/7*g**2.
-4*g*(g - 2)*(g + 1)/7
Let x(b) be the second derivative of -b**5/5 - 7*b**4/3 - 22*b**3/3 - 10*b**2 + 38*b. Find u, given that x(u) = 0.
-5, -1
Determine l so that 0*l**2 - 4/19*l**4 - 2/19*l**3 + 0 - 2/19*l**5 + 0*l = 0.
-1, 0
Let u(m) be the second derivative of -m**7/70 + 2*m**6/75 + m**5/100 - m**4/30 + 9*m. Factor u(a).
-a**2*(a - 1)**2*(3*a + 2)/5
Let g(q) be the first derivative of -q**3/12 + q**2 - 4*q - 17. Factor g(m).
-(m - 4)**2/4
Factor -15*c - 7*c**4 - 9*c**4 + 9*c**3 - 74*c**3 + c**4 - 65*c**2.
-5*c*(c + 1)*(c + 3)*(3*c + 1)
Suppose 4 = i + 2. Let m = 0 + i. Factor s**5