2/5*w**3 + 3631696/5 + 732/5*w**2.
2*(w + 122)**3/5
Suppose -6*b - 12 = -8*b. Let s(p) be the third derivative of 1/105*p**6 - 1/21*p**4 - 2/735*p**7 + 0*p**5 + 2/21*p**3 + 0*p + 0 + b*p**2. Factor s(y).
-4*(y - 1)**3*(y + 1)/7
Let k = 76 - 72. Solve 22*m - 44*m + 20*m**3 - 4*m**k - 16*m**2 + 22*m = 0 for m.
0, 1, 4
Let y(m) be the third derivative of 0*m**4 + 0*m - 1/8*m**6 + 0 - 1/42*m**7 + 0*m**5 + 0*m**3 - 6*m**2. Find f, given that y(f) = 0.
-3, 0
Let 19/2*g - 361/4 - 1/4*g**2 = 0. What is g?
19
Let l(t) be the second derivative of t**7/280 + t**6/40 - t**4/2 - 4*t**3/3 + 3*t**2/2 - 2*t. Let q(b) be the second derivative of l(b). Factor q(w).
3*(w - 1)*(w + 2)**2
Suppose 3*z + 11 = -5*j, 5*z - 24*j = -28*j - 1. Let x(h) be the second derivative of -2*h + 0 + h**2 + 0*h**z - 1/24*h**4. Find l such that x(l) = 0.
-2, 2
Let f(z) = -5*z**3 + 21*z**2 + 12*z + 5. Let q = 63 - 68. Let o(u) = -2*u**3 + 10*u**2 + 6*u + 3. Let c(b) = q*o(b) + 3*f(b). Solve c(p) = 0 for p.
-2/5, 0, 3
Let s = 2870 - 2870. Factor 3/4*i**3 - 3/4*i + s*i**2 + 0.
3*i*(i - 1)*(i + 1)/4
Let g(d) be the third derivative of 1/2*d**3 + 1/24*d**4 - 2*d**2 + 0 + 0*d - 1/120*d**6 - 1/20*d**5. Factor g(l).
-(l - 1)*(l + 1)*(l + 3)
Let n(i) = -4 + 16 - 5 - 8. Let s(t) = 4*t**2 + 27*t - 4. Let a(z) = 12*n(z) + 4*s(z). Factor a(w).
4*(w + 7)*(4*w - 1)
Let j(i) = -7*i - 1. Let a(r) = r - 1. Let u(w) = 5*a(w) + j(w). Let t be u(-6). Find l such that 0 - t*l**2 + 4*l - 7 + 4*l**3 + 6 - l**4 = 0.
1
Let f(o) be the third derivative of -o**6/720 - 13*o**5/180 - 4*o**4/3 - 8*o**3 - 89*o**2. Suppose f(u) = 0. Calculate u.
-12, -2
Factor -2/9*g**2 - 2/9*g + 2/9*g**3 + 2/9.
2*(g - 1)**2*(g + 1)/9
Let j(c) be the third derivative of -c**8/1344 - 3*c**7/280 - c**6/16 - 11*c**5/60 - c**4/4 + 97*c**2. Find t such that j(t) = 0.
-3, -2, 0
Suppose -38/5*b**2 - 21*b**3 - 49/10*b**4 - 4/5*b + 0 + 343/10*b**5 = 0. What is b?
-2/7, 0, 1
Let p(x) be the third derivative of -x**7/7560 + x**6/540 + x**4/6 - x**3/2 - x**2 + x. Let g(l) be the second derivative of p(l). Factor g(d).
-d*(d - 4)/3
Let h(s) = 9*s**3 + 23*s**2 + 112*s + 169. Let j(l) = -5*l**3 - 11*l**2 - 55*l - 85. Let a(y) = -4*h(y) - 7*j(y). Factor a(i).
-(i + 3)**2*(i + 9)
Let t(c) = -c**3 + 6*c**2 - c + 3. Let g be t(5). Factor 13*f + 34*f - 3*f**2 - g*f.
-3*f*(f - 8)
Let f be 6 - (-372)/(-60) - -1. Factor 8/5*j + f + 4/5*j**2.
4*(j + 1)**2/5
Let o(v) = 2*v**2 - v + 1. Let j(z) = 15*z**2 + 5*z - 70. Let w(h) = -j(h) + 5*o(h). Factor w(r).
-5*(r - 3)*(r + 5)
Let n(s) be the first derivative of s**6/30 - 8*s**5/25 - 11*s**4/20 + 6*s**3/5 - 106. Factor n(v).
v**2*(v - 9)*(v - 1)*(v + 2)/5
Let o(y) = -y**2 + 8*y - 8. Let g be o(6). Suppose 0 = g*t + 2*s - 22, -t - 3*s + 6 = -12. Factor 15*i**3 - 9*i**t + 0*i + 2*i + 8*i**2.
2*i*(i + 1)*(3*i + 1)
Let v(z) = -z**3 + 16*z**2 - 13*z + 5. Let i be v(15). Suppose 5*b = 2*k + 25, 4*b = -b + 4*k + i. Factor -3/2*q**4 + 3/4*q**b + 0 + 0*q + 3/4*q**5 + 0*q**2.
3*q**3*(q - 1)**2/4
Let r(j) be the third derivative of -2*j**7/105 - j**6/10 + 2*j**4/3 - 34*j**2. Solve r(f) = 0 for f.
-2, 0, 1
Let d(m) = m**2 + 12*m + 41. Let f be d(-20). Let c = f - 1807/9. Determine r, given that c*r**3 + 0*r - 2/9*r**2 - 2/9*r**5 + 2/9*r**4 + 0 = 0.
-1, 0, 1
Let g(v) = 7*v - 12. Let x be g(8). Let r = x + 44. Determine c so that 26*c**4 - 16 + 44*c**5 - 20*c**4 + 62*c**4 - 62*c**3 - 14*c**5 - 108*c**2 + r*c = 0.
-2, 1/3, 2/5, 1
Let y = 144 + -96. Let -4*t**4 - 28 + y + 10*t**3 - 2*t**3 + 56*t + 48*t**2 = 0. What is t?
-1, 5
Factor -2 + 5/3*o**2 + 7/3*o**3 - 7/3*o + 1/3*o**4.
(o - 1)*(o + 1)**2*(o + 6)/3
Let i(z) be the first derivative of 3*z**4/4 + 42*z**3 + 243*z**2/2 + 120*z - 617. Determine a so that i(a) = 0.
-40, -1
Let l be (-247)/(-3003) + ((-8)/60)/((-33)/15). Find o such that -2/7*o + 3/7*o**2 + 0 - l*o**3 = 0.
0, 1, 2
Let o(r) be the second derivative of 18*r**6/5 + 327*r**5/20 + 73*r**4/4 - 2*r**3 - 6*r**2 + 342*r. Let o(s) = 0. Calculate s.
-2, -1, -1/4, 2/9
Suppose -45/4*a**4 - 51/2*a**3 + 6 - 75/2*a + 273/4*a**2 = 0. Calculate a.
-4, 1/3, 2/5, 1
Let x(n) be the third derivative of 5*n**8/168 + 9*n**7/35 + 7*n**6/10 + 7*n**5/15 - 5*n**4/4 - 3*n**3 - 93*n**2. Factor x(z).
2*(z + 1)**3*(z + 3)*(5*z - 3)
Let b(v) be the third derivative of v**7/945 - v**6/60 + 4*v**5/45 - 5*v**4/27 + v**2 - 51*v. Suppose b(y) = 0. What is y?
0, 2, 5
Factor -17*d**2 - 30*d**3 + 11*d**2 + 8*d**2 + 14*d**4 - 2*d**5 + 16*d**2 + 0*d**4.
-2*d**2*(d - 3)**2*(d - 1)
Let b(h) be the second derivative of -h**5/80 - 35*h**4/48 - 12*h**3 + 81*h**2/2 - 14*h - 24. What is y in b(y) = 0?
-18, 1
Let d(i) = 3*i - 1. Let j be d(1). Factor -4 + 7*z**2 - z**j - 2*z**3 + 2*z - 2*z**2.
-2*(z - 2)*(z - 1)*(z + 1)
Factor -5/3*m**3 + 25/3*m + 0 - 20/3*m**2.
-5*m*(m - 1)*(m + 5)/3
Find o, given that -20/7 - 16/7*o + 16/7*o**3 + 24/7*o**2 - 4/7*o**4 = 0.
-1, 1, 5
Let i = -17990 - -18002. Let 4/3*k**2 - i - 32/3*k = 0. What is k?
-1, 9
Factor -11/3*n**2 - 32*n - 1/9*n**3 - 256/9.
-(n + 1)*(n + 16)**2/9
Let y be (8/32)/((-1)/(-16)). Suppose 0 = 2*x + 2*b - 2, y*x = -x - 4*b + 7. Determine o, given that 64/3*o - 16*o**2 - 2/3*o**4 - 32/3 + 16/3*o**x = 0.
2
Factor 58*o + 36*o**2 - 90*o + 0*o**2 + 168 + 796*o.
4*(o + 21)*(9*o + 2)
Factor 100*x**4 + 682*x**2 + 938*x**2 + 279839*x**5 - 168*x**2 - 279835*x**5 + 748*x**3.
4*x**2*(x + 3)*(x + 11)**2
Let u be (2233/1218 + 7/6)/((-3)/(-2)). Determine r, given that 0 + 32/3*r - 48*r**3 + 128/3*r**4 + 0*r**u - 10*r**5 = 0.
-2/5, 0, 2/3, 2
Let u(j) be the third derivative of -j**7/840 + j**6/480 + j**5/60 - j**4/24 - 207*j**2. Factor u(x).
-x*(x - 2)*(x - 1)*(x + 2)/4
Let y be ((-2)/(-6))/(6/54). Let d be (8/(-14))/(1/(-7)) - 1. Factor f**3 + 3*f**y - f**3 - f**d.
2*f**3
Let i be 2/4 - 42/(-28). Suppose -2*b**2 - 3*b**i - 101*b**4 + 106*b**4 = 0. Calculate b.
-1, 0, 1
Let q(n) = n**2 + 10*n + 10. Let v be q(-8). Let y be 0*(2 + v/2). Factor y*t**3 - 2*t**3 - 4*t**3 + 27*t**5 + 21*t**4.
3*t**3*(t + 1)*(9*t - 2)
Let n(b) be the first derivative of b**6/80 + 3*b**5/160 - b**4/16 - 31*b + 26. Let q(j) be the first derivative of n(j). Let q(d) = 0. What is d?
-2, 0, 1
Let v(o) be the third derivative of o**5/12 + 115*o**4/144 - 5*o**3/9 + 5*o**2 - 13*o. Solve v(x) = 0 for x.
-4, 1/6
Let l(t) = 11*t**2 + 20*t + 20. Suppose 0 = 4*y + 5*u + 355, -3*y - 118 - 143 = 2*u. Let d(c) = 155*c**2 + 280*c + 280. Let n(i) = y*l(i) + 6*d(i). Factor n(f).
-5*(f + 2)**2
Let i(t) = 0*t**4 - 4*t**4 - 4*t**4 + 10*t**3. Let f(d) = -9*d**4 + 11*d**3 + d**2. Let x be 24/(-3 - -9) - (2 + 0). Let c(w) = x*f(w) - 3*i(w). Solve c(n) = 0.
0, 1/3, 1
Let g(z) = -z**3 - 12*z**2 - 10*z + 23. Let t be g(-11). Suppose 2*o - t + 6 = 0. Determine p so that -2/3*p**4 - 10/3*p**2 + 4/3*p + 0 + 8/3*p**o = 0.
0, 1, 2
Let a = 0 - -6. Factor 0*k**3 + 3*k**3 - 4*k**3 - a*k**2 + 3*k**3.
2*k**2*(k - 3)
Let o(a) be the second derivative of -81*a**5/70 - 30*a**4/7 - 100*a**3/21 + 179*a. Factor o(h).
-2*h*(9*h + 10)**2/7
Let t = -3482 + 10447/3. Factor -t + 1/9*r**3 - 1/9*r + 1/3*r**2.
(r - 1)*(r + 1)*(r + 3)/9
Suppose 2/11*j**3 + 0*j + 6/11*j**4 - 6/11*j**2 - 2/11*j**5 + 0 = 0. What is j?
-1, 0, 1, 3
Let m(l) = 2*l**2 - 120*l + 21 + 2 + 163*l. Let y be m(-21). Determine b, given that -16/7*b**3 + 2/7 - 6/7*b**4 + 0*b - 12/7*b**y = 0.
-1, 1/3
Factor 2/9*p**2 - 34/9*p + 28/3.
2*(p - 14)*(p - 3)/9
Let c(z) be the second derivative of 3*z**5/5 - 19*z**4/3 + 4*z**3 + 161*z + 1. Factor c(l).
4*l*(l - 6)*(3*l - 1)
Factor 8*z**2 - 52*z**5 + 137*z**4 + 17*z**2 - 28*z**5 + 70*z**3 + 223*z**4 + 125*z**3.
-5*z**2*(z - 5)*(4*z + 1)**2
Suppose 2*r = -4*k + 4, -3*r + k - 2*k = -1. Let m(c) be the third derivative of -7*c**2 + 1/240*c**5 - 1/32*c**4 + 0*c + 1/12*c**3 + r. Factor m(x).
(x - 2)*(x - 1)/4
Factor -4/3 + 1/3*l**2 + l.
(l - 1)*(l + 4)/3
Suppose 5*d - 44 = -3*u, 0 = 2*u + d - 0 - 20. Suppose -l - 3*l + u = 0. Factor 0*j**2 + 3*j**2 + l*j - 5*j.
3*j*(j - 1)
Let f = 4893/4 + -1223. Let -1/4*t - 1/4*t**2 + 1/4*t**4 + f*t**3 + 0 = 0. What is t?
-1, 0, 1
Suppose 2*k + 24 = -4. Let u = k - -19. Solve -4*l**2 - 5*l + 2*l**4 + 0*l**u + 2*l**5 + 2 + 7*l - 4*l**3 = 0 for l.
-1, 1
Let s(d) be the third derivative of d**5/150 + 2*d**4/15 + 4*d**3/5 + 2*d**2 + 16. Factor s(g).
2*(g 