**2/3 + r/3 - 4. Factor w(j).
(j - 1)**2/3
Let b(a) be the third derivative of a**10/75600 + a**9/10080 + a**8/3360 + a**7/2520 + a**5/12 - 5*a**2. Let y(q) be the third derivative of b(q). Factor y(t).
2*t*(t + 1)**3
Let r(k) be the third derivative of -1/75*k**5 - 1/840*k**8 + 0*k**3 + 0*k**4 + 6*k**2 + 0 - 1/60*k**6 + 0*k - 4/525*k**7. Factor r(q).
-2*q**2*(q + 1)**2*(q + 2)/5
Let m(y) be the second derivative of -y**6/630 + y**5/420 - y**3/2 - 3*y. Let b(h) be the second derivative of m(h). Factor b(j).
-2*j*(2*j - 1)/7
Let c(b) = 3*b**2 + 2*b + 1. Let r be c(-1). Let j(a) be the third derivative of 3*a**r + 0*a + a**3 + 3/8*a**4 + 1/20*a**5 + 0. Factor j(o).
3*(o + 1)*(o + 2)
Let -1 - p**2 + 2 - p - p**2 = 0. What is p?
-1, 1/2
Let o(c) = -4*c**2 + 2*c - 2. Let p = 15 + -10. Let x(r) = 9*r**2 - 3*r + 4. Let h(a) = p*o(a) + 2*x(a). Factor h(z).
-2*(z - 1)**2
Let u(n) = 378*n**3 + 261*n**2 - 807*n + 312. Let m(j) = -29*j**3 - 20*j**2 + 62*j - 24. Let s(w) = 27*m(w) + 2*u(w). Let s(x) = 0. What is x?
-2, 2/3
Let d(i) be the first derivative of -i**4 + 8*i**3/3 + 5. Factor d(y).
-4*y**2*(y - 2)
Let y be (0 - -2)/1 - (-12)/(-6). Factor 0 + y*g + 1/3*g**3 - 1/3*g**2.
g**2*(g - 1)/3
Let g = 2 + 0. Suppose 3 = -2*s + 3*x - 3, -3*s = -g*x - 1. Let h(j) = -3*j**2 + 3*j - 3. Let k(i) = 3*i**2 - 2*i + 3. Let z(a) = s*k(a) + 4*h(a). Factor z(d).
-3*(d - 1)**2
Let d(v) be the first derivative of -2*v**5/5 + v**4/7 + 2*v**3/3 - 2*v**2/7 - 9. Let d(r) = 0. Calculate r.
-1, 0, 2/7, 1
Let u = 4 + -1. Let l be (-2)/4*6 + u. Let 1/2*t**5 + l*t + t**4 + 1/2*t**3 + 0 + 0*t**2 = 0. Calculate t.
-1, 0
Factor 0*s**3 - 7*s**2 + 4*s**2 + s**3 + 6*s + 3 - 7*s**3.
-3*(s - 1)*(s + 1)*(2*s + 1)
Suppose 0 = -o + 3*o - 10. Suppose 3*h + 3*b + o = -1, -h = -2*b - 13. Solve 1/5*a**2 + 0 + 1/5*a**4 + 0*a + 2/5*a**h = 0 for a.
-1, 0
Let c(t) = 37 - t**2 + 2*t**3 - 33 + t**2 - t. Let x be c(0). Find d such that -3*d**3 + 0 - 1/3*d + 2*d**2 + 4/3*d**x = 0.
0, 1/4, 1
Let t(q) be the third derivative of 0*q**5 + 0*q**3 + 0*q**7 - 2*q**2 - 1/1008*q**8 + 0*q + 1/180*q**6 + 0 - 1/72*q**4. Determine z so that t(z) = 0.
-1, 0, 1
Let o(p) be the first derivative of -1/12*p**3 + 4 + 0*p + 1/8*p**2. Find b, given that o(b) = 0.
0, 1
Let s = 4 + 1. Suppose -1 = -2*d - q, 0 = s*d - 3*q + 3. Solve -2/3*k**4 + d + 2/3*k + 2*k**3 - 2*k**2 = 0.
0, 1
Let y(k) = 4*k**4 - 9*k**3 + k**2 + 9*k - 5. Let j = 11 - 8. Let v(x) = 2*x**3 - 2*x**4 + 2 + 0*x**j + 2*x**3 - 4*x. Let o(p) = 5*v(p) + 2*y(p). Factor o(r).
-2*r*(r - 1)**2*(r + 1)
Suppose -6 = -3*m + 3*j, 0 = 4*m - 3*j - 3 - 5. Let l(d) be the first derivative of 0*d + 2*d**m + 1/2*d**4 - 2*d**3 + 1. What is c in l(c) = 0?
0, 1, 2
Let r = -15 + 15. Let a be 1*(-3)/(-12)*r. Factor 1/4*d**2 + a - 1/4*d**4 - 1/2*d**3 + 1/2*d.
-d*(d - 1)*(d + 1)*(d + 2)/4
Let j(l) be the first derivative of 3*l**5/20 - 9*l**4/16 + l**3/2 - 18. What is r in j(r) = 0?
0, 1, 2
Let l(w) be the first derivative of -w**6/210 + w**5/70 - w**4/84 + 2*w + 8. Let p(y) be the first derivative of l(y). Factor p(h).
-h**2*(h - 1)**2/7
Let l be ((-3)/2)/(3/(-4)). Suppose l = 5*w - 8. Factor t**3 - 2*t + w*t**2 + 0 + 1 + t**2 + 5*t.
(t + 1)**3
Factor 3*q**4 + 2*q**3 - 302*q - 4*q**4 + 1 + 300*q.
-(q - 1)**3*(q + 1)
Let l(h) be the second derivative of 1/5*h**6 - 1/2*h**3 + 0 + 1/14*h**7 + 0*h**2 - 1/2*h**4 - h + 0*h**5. Let l(x) = 0. Calculate x.
-1, 0, 1
Let u(c) = 3*c**4 - 9*c**3 + 7*c**2 - c. Let f(g) = 4*g**4 - 10*g**3 + 8*g**2 - 2*g. Let n be 9/(-3) + (-9)/3. Let l(x) = n*u(x) + 5*f(x). Factor l(s).
2*s*(s - 1)*(s + 1)*(s + 2)
Let c(u) be the third derivative of u**6/200 + u**5/30 + u**4/40 + 3*u**2. Factor c(z).
z*(z + 3)*(3*z + 1)/5
Let a be 170/(-84) - 34/(-51). Let n = -6/7 - a. Let -1/2*w + n*w**2 + 0 = 0. Calculate w.
0, 1
Let f be 1 - 3/2 - -1. Let m(n) = n**2 + 9*n - 68. Let t be m(5). Factor -f*u**t + 1/2*u + 0.
-u*(u - 1)/2
Let h be (-17)/14 + -5 + 91/14. Factor 0*g - h*g**5 - 2/7*g**4 + 0 + 2/7*g**3 + 2/7*g**2.
-2*g**2*(g - 1)*(g + 1)**2/7
Suppose -4*n - 38 = -5*h + 13, 40 = 4*h - 3*n. Let u = -4 + h. Let 0*t**3 + t**u - 2*t**2 + 3*t**2 = 0. What is t?
-1, 0
Let m(c) be the second derivative of 2/15*c**6 + 4*c + 0 + 1/6*c**4 + 0*c**3 + 0*c**2 - 3/10*c**5. Solve m(r) = 0 for r.
0, 1/2, 1
Let b be 4/(-44) - (-70)/165. Let f = -2/25 + 56/75. Determine p, given that -1/3 + f*p - b*p**2 = 0.
1
Let t(l) = l - 12. Let w be t(12). Find u, given that -u**4 + u**2 + 4 + 5*u**3 - u**5 - 8*u + 0 + w = 0.
-2, 1
Let c(j) be the first derivative of -4*j**6/9 - 34*j**5/15 - 10*j**4/3 - 8*j**3/9 + 9. Factor c(s).
-2*s**2*(s + 2)**2*(4*s + 1)/3
Suppose -v + 2*w + 3 = -7, 2*v + 5*w = -16. Let i be -1 + 1 - v/(-7). Determine q so that 0 + 2/7*q**3 + 0*q - i*q**2 = 0.
0, 1
Let z(s) = -118*s + 5*s**2 - 2*s**3 - s**4 + 118*s. Let a(u) = u**4 + 3*u**3 - 6*u**2 - u. Let t(d) = 2*a(d) + 3*z(d). Factor t(p).
-p*(p - 1)**2*(p + 2)
Let p(d) be the first derivative of -d**7/42 - d**6/6 - 9*d**5/20 - 7*d**4/12 - d**3/3 + 4*d - 3. Let a(b) be the first derivative of p(b). Factor a(r).
-r*(r + 1)**3*(r + 2)
Factor 0*v + 4/3*v**2 + 0*v**3 + 0 - 4/3*v**4.
-4*v**2*(v - 1)*(v + 1)/3
Let x(d) be the first derivative of d**4/20 + d**3/5 + d**2/5 - 22. Factor x(y).
y*(y + 1)*(y + 2)/5
Suppose u = -a - 1, 3*a - 2*u = 3*u + 21. Suppose b = 2*b - a. Let 0*g**2 + 3*g**3 - 2*g**3 + g**b = 0. Calculate g.
-1, 0
Let o(d) = d**2 - 2*d - 2. Let f be o(-1). Let q be f - (2 + (-8)/6). Determine g, given that -1/3*g**2 - q*g**4 + 0 + 0*g - 2/3*g**3 = 0.
-1, 0
Let -1/4*s**2 + 1/2*s - 1/4 = 0. What is s?
1
Let c = -2101/4 + 526. Factor 0*k**2 + c*k**3 + 3/2 - 9/4*k.
3*(k - 1)**2*(k + 2)/4
Let x be 292/170 + (20/(-34))/5. Determine r, given that 14/5*r**2 + x + 32/5*r = 0.
-2, -2/7
Find j, given that 1/3*j**3 - 1/3*j**2 - 5/3*j - 1 = 0.
-1, 3
Let u(w) be the third derivative of -2*w**7/105 + w**5/15 + 4*w**2. Suppose u(l) = 0. Calculate l.
-1, 0, 1
Factor -13*d**3 + 9 + 15*d**2 + 6*d**4 - 2*d**4 - 8 + 0*d**4 - 7*d.
(d - 1)**3*(4*d - 1)
Factor -3*q + q - 2 + 1 - q**2.
-(q + 1)**2
Suppose 6 = -3*r + r. Let v = r + 7. Factor -12*y**2 - y - 2*y**v + 5*y + 2*y**2 + 8*y**3.
-2*y*(y - 2)*(y - 1)**2
Factor 0*p**3 + 4/5*p**4 + 2/5*p + 0 - 2/5*p**5 - 4/5*p**2.
-2*p*(p - 1)**3*(p + 1)/5
Let u(o) be the third derivative of 25*o**8/112 - 2*o**7/3 + 13*o**5/6 - 25*o**4/8 + 5*o**3/3 - 14*o**2. Suppose u(m) = 0. What is m?
-1, 1/5, 2/3, 1
Suppose 1/4*u**3 + 0 - 1/4*u**4 + 1/4*u**2 - 1/4*u = 0. Calculate u.
-1, 0, 1
Let m(f) be the second derivative of f**7/168 - f**6/120 + 7*f. Factor m(l).
l**4*(l - 1)/4
Let g(w) be the second derivative of 2*w + 0*w**2 - 1/16*w**5 + 1/12*w**3 + 1/16*w**4 + 0. Factor g(u).
-u*(u - 1)*(5*u + 2)/4
Let n(y) be the first derivative of 9*y**5/80 + y**4/24 - 3*y**3/8 - y**2/4 + 4*y + 2. Let u(v) be the first derivative of n(v). What is m in u(m) = 0?
-1, -2/9, 1
Let f = -438 - -1327/3. Let g(m) be the first derivative of 4/3*m - f*m**2 + 16/3*m**3 - 3/2*m**4 + 4. Solve g(q) = 0.
1/3, 2
Factor -3*j**2 - 81*j + 87*j - 2 - 1.
-3*(j - 1)**2
Let p(z) be the third derivative of -z**6/660 - z**5/165 + z**4/132 + 2*z**3/33 - 7*z**2. What is h in p(h) = 0?
-2, -1, 1
Let m(s) be the second derivative of -s**4/84 + s**2/14 + 4*s. Determine r, given that m(r) = 0.
-1, 1
Let q(c) be the third derivative of 0*c**3 + 1/1176*c**8 + 0*c**6 + 4*c**2 + 0*c**5 + 0 - 1/735*c**7 + 0*c + 0*c**4. Suppose q(x) = 0. What is x?
0, 1
Let s = -7 + 1. Let u = 8 + s. Factor 0*p**2 - 2*p**2 + p**u.
-p**2
Let p(r) be the second derivative of 1/7*r**3 - 8*r + 1/42*r**4 + 2/7*r**2 + 0. Factor p(f).
2*(f + 1)*(f + 2)/7
Let f(b) be the second derivative of -b**6/240 + b**4/16 + 5*b**3/6 + b. Let u(r) be the second derivative of f(r). Solve u(j) = 0.
-1, 1
Let h be 1/(-2) + 7/2. Suppose 4*i - 3*g = h*i + 3, 0 = 5*i - 2*g - 15. Factor -1/2*s**4 - 1/2*s - 3/2*s**i + 0 - 3/2*s**2.
-s*(s + 1)**3/2
Let r(n) be the third derivative of n**5/150 + n**4/30 + n**3/15 + 5*n**2. Factor r(v).
2*(v + 1)**2/5
Let a(b) = b**3 + b**2 - 3*b - 2. Let t = 23 + -25. Let m be a(t). Factor m*c - 1/2*c**2 + 0 - 13/4*c**3 - 5*c**4.
-c**2*(4*c + 1)*(5*c + 2)/4
Let y(j) be the second derivative of -j**6/1440 - j**5/480 + j**4/48 - j**3/6 - j. Let a(c) be the second