/15*w**6 + 0 + 0*w**2 + 1/56*w**7 + 3/40*w**5. Factor c(g).
g*(g - 1)**3*(3*g + 1)/4
Suppose 449 = 12*s - 511. Solve 160 - s - 16*f + 6*f**2 - 2*f**4 - 72 + 4*f**3 = 0 for f.
-2, 1, 2
Determine s so that -5*s - 15*s - 5*s**5 + 4*s**2 - 59*s**2 - 16*s**2 - 4*s**2 + 15*s**4 + 25*s**3 + 60 = 0.
-2, -1, 1, 2, 3
Let g(o) be the second derivative of 0*o**2 + 0 + 2/15*o**6 - 1/21*o**7 - 1/10*o**5 + 0*o**3 - 2*o + 0*o**4. Factor g(x).
-2*x**3*(x - 1)**2
Let j(d) = -d**3 - d - 1. Let r be 8/72 - 8/(-9). Let i(u) = 6*u**3 - 9*u**2 + 8*u + 1. Let b(n) = r*i(n) + 2*j(n). Suppose b(z) = 0. What is z?
1/4, 1
Suppose -24 = -r - 29. Let p be r/(20/12)*-1. Factor -2/3*z - 1/3*z**p + 0 + z**2.
-z*(z - 2)*(z - 1)/3
Let g(s) be the first derivative of 2 + 0*s - 3/5*s**2 - 14/15*s**3 - 1/2*s**4 - 2/25*s**5. Factor g(o).
-2*o*(o + 1)**2*(o + 3)/5
Factor -4/3*x + 10/3*x**3 + 0 - 2*x**2.
2*x*(x - 1)*(5*x + 2)/3
Let u(d) be the first derivative of 0*d**2 - 10 - 12/35*d**5 + 0*d - 4/21*d**3 - 2/21*d**6 - 3/7*d**4. Factor u(g).
-4*g**2*(g + 1)**3/7
Factor 14/3*l**2 + 2/3*l**3 + 16/3*l - 32/3.
2*(l - 1)*(l + 4)**2/3
Let d(f) be the third derivative of f**8/23520 + f**7/1470 + f**6/280 + f**5/105 + 5*f**4/4 + 5*f**2. Let q(r) be the second derivative of d(r). Factor q(s).
2*(s + 1)**2*(s + 4)/7
Let t be 14/(-35) + (-8)/5 + 5. Factor 3*b + 3*b**4 + 3 - 6*b**t + 0 + 0*b**2 + b**2 - 7*b**2 + 3*b**5.
3*(b - 1)**2*(b + 1)**3
Let r(z) = -z**3 + 1. Let d = -3 - -2. Let f(a) = -a**5 - a**4 - 2*a**3 + 2*a**2 - a + 3. Let p = -140 - -144. Let v(b) = d*f(b) + p*r(b). Factor v(u).
(u - 1)**2*(u + 1)**3
Factor -1/5*r**4 + 2*r**3 + 3/5*r**2 - 32/5*r + 4.
-(r - 10)*(r - 1)**2*(r + 2)/5
Let v(m) be the third derivative of 9/56*m**4 + 0 - 3/70*m**5 + 0*m + 1/280*m**6 + 7*m**2 + 0*m**3. Factor v(s).
3*s*(s - 3)**2/7
Suppose 2*b + 5*g + 11 = 0, 48*b - 46*b = 5*g + 19. Let a be (1 - (-3)/6)*10. Factor a*x**2 - 20*x**b - 6*x**3 + 2*x**4 + 9*x**2.
2*x**2*(x - 2)*(x - 1)
Determine q so that 3/2*q**3 + 0*q + 0 + 0*q**2 - 3/2*q**4 = 0.
0, 1
Let m be -5 + 8 - (-1 - 2). Let b = -3 + m. Find f, given that 5*f**2 - 15*f - 3*f**4 + 5 + 1 + 4*f**2 + 3*f**b = 0.
-2, 1
Let b(j) = -j**3 - j**2 + 14*j + 12. Let p be b(-4). Let z(u) be the first derivative of 1/5*u**p + 2/5*u - 2/5*u**2 - 3 - 2/15*u**3. Solve z(o) = 0 for o.
-1, 1/2, 1
Suppose -10*c + 6*c = -8. Suppose -c*n = -4*p, 6*n - n = -5*p + 30. Determine v, given that 1/5 + 6/5*v**p - 4/5*v**3 + 1/5*v**4 - 4/5*v = 0.
1
Let s = 2096 + -3949/2. Let g = s - 121. Solve -g*o**4 - 625/2 - 75*o**2 - 10*o**3 - 250*o = 0 for o.
-5
Let m(g) be the third derivative of g**6/60 - 2*g**5/15 + g**4/3 + g**2 - 37*g. Factor m(t).
2*t*(t - 2)**2
Let g(n) be the third derivative of -3*n**5/50 + 7*n**4/6 + 16*n**3/15 + 150*n**2. Find s such that g(s) = 0.
-2/9, 8
Let j(k) be the third derivative of -k**5/330 - 4*k**4/33 - 5*k**3/11 + k**2 - 89*k. Let j(b) = 0. Calculate b.
-15, -1
Let t(p) be the third derivative of 169*p**6/300 + 221*p**5/150 + 14*p**4/15 + 4*p**3/15 + 2*p**2 - 152*p. Let t(f) = 0. What is f?
-1, -2/13
Let p be 1*((-8)/76 - (679/(-133) + 1)). Factor 7/4*j**p - 3/8*j**5 - 5/2*j**3 + j**2 + 0 + 0*j.
-j**2*(j - 2)**2*(3*j - 2)/8
Let o be 4*3 - 1394/119. Factor 2/7*c + 0 + o*c**2.
2*c*(c + 1)/7
Suppose -5*w + 5*l + 5 = -0, 5 = w + 3*l. Factor 2*r - 469 + r**w + 469.
r*(r + 2)
Let u(z) be the first derivative of 0*z**2 - 4 + 3/10*z**5 + 3/2*z**4 + 0*z + 3/2*z**3. Determine t so that u(t) = 0.
-3, -1, 0
Let 500 + 20*s + 1/5*s**2 = 0. What is s?
-50
Let r = -2 + -2. Let u be 32/r*3/(-12). Solve 2*m - 2*m**u + m**2 - 3*m = 0.
-1, 0
Let h(i) = -2 + 6 - 5*i**2 - 16*i + 9*i**2. Let w be h(5). Factor -20/3*t - 22*t**2 - 2/3 - w*t**3.
-2*(3*t + 1)**2*(4*t + 1)/3
Let s(y) be the first derivative of -y**5/35 - y**4/7 - 5*y**3/21 - y**2/7 - 538. Determine g, given that s(g) = 0.
-2, -1, 0
Let k = 40 - 20. Let s be 3/2*k/15. Factor u - u**s + 3*u - 2*u**2 + 2*u - 9*u**3.
-3*u*(u + 1)*(3*u - 2)
Suppose -10*d - 9653 = 1267. Let o = 7662/7 + d. Factor -12/7*s + 2/7*s**2 + o.
2*(s - 3)**2/7
Let i = -44867/3 + 14958. Factor -1/3*v**2 - i*v + 0.
-v*(v + 7)/3
Factor -28/5*u**2 + 92/5*u - 12/5*u**3 - 52/5.
-4*(u - 1)**2*(3*u + 13)/5
Suppose -84*h + 53*h = -52*h. Factor 2/3*a**4 - 4/3*a - 2*a**2 + h + 0*a**3.
2*a*(a - 2)*(a + 1)**2/3
Determine y, given that 4/7*y**2 - 12/7 - 5*y + 8/7*y**4 + 5*y**3 = 0.
-4, -1, -3/8, 1
Let j(h) = -7*h - 34. Let b be j(-5). Suppose 6*s - 5 = -3*x + 4*s, -3*x - 4*s + b = 0. Solve -3/7*g**x + 3/7*g**2 - 3/7 + 3/7*g = 0 for g.
-1, 1
Let w(g) be the first derivative of -1/2*g**3 - 29 + 0*g + 1/4*g**2 + 3/8*g**4 - 1/10*g**5. Factor w(s).
-s*(s - 1)**3/2
Let g(a) be the first derivative of 4*a**3/3 - 4*a**2 - 32*a - 434. Factor g(h).
4*(h - 4)*(h + 2)
Find l such that -90/19 - 2/19*l**3 + 2/19*l**2 + 42/19*l = 0.
-5, 3
Let l(g) = 9*g**2 - 13 + 5*g**3 - 7*g**5 + 7*g + 0*g**4 - 9*g**4 + 18. Let x(o) = o**5 + o**4 - o**3 - o**2 - o - 1. Let h(v) = -l(v) - 5*x(v). Factor h(j).
2*j*(j - 1)*(j + 1)**3
Determine q so that 42320/3*q**2 - 460/3*q + 2/3 + 44774560/3*q**4 - 1946720/3*q**3 - 411925952/3*q**5 = 0.
1/46
Let v = 1080/11 + -98. Let c(i) = -i**3 + 10*i**2 + 13*i - 22. Let y be c(11). Factor v*j**2 + 2/11*j + y.
2*j*(j + 1)/11
Let r be ((-5)/10 + -1)*(-8)/6. Factor -4*f**r + 28*f + 13 - 8*f + 6 + 5.
-4*(f - 6)*(f + 1)
Let u(l) be the first derivative of -l**4/38 - 26*l**3/19 - 507*l**2/19 - 4394*l/19 + 1. Let u(m) = 0. Calculate m.
-13
Suppose 4*o = 3*w - 0 + 14, 0 = 5*o + w - 8. Let l be o + -1 + (-5)/(-5). Find q such that 2 - 3/2*q**2 - q**3 + 1/2*q**4 + l*q = 0.
-1, 2
Let x(r) be the second derivative of -r**7/105 + r**6/20 + r**5/15 - r**4 + 8*r**3/3 - 3*r**2/2 - r. Let y(q) be the first derivative of x(q). Factor y(g).
-2*(g - 2)**2*(g - 1)*(g + 2)
What is q in q**2 - 35 - 3*q**2 + q**2 - 65 + 5*q**2 = 0?
-5, 5
Factor -227*o**3 + 36*o + 36*o**2 + 16*o**4 + 22*o**2 + 71*o**3 + 46*o**2.
4*o*(o - 9)*(o - 1)*(4*o + 1)
Let v be (-1554)/(-148)*6/21. Suppose 10*o**4 - 76/9*o**2 - 4/3*o**v + 2 - 2/3*o + 50/9*o**5 = 0. Calculate o.
-1, 3/5
Let w(v) be the second derivative of 0*v**5 + 2/3*v**3 + 0 + 0*v**2 + 1/24*v**4 - 1/360*v**6 - 2*v. Let y(n) be the second derivative of w(n). Factor y(z).
-(z - 1)*(z + 1)
Let n(x) be the first derivative of -x**3/21 - 5*x**2/7 + 11*x/7 - 2. Factor n(q).
-(q - 1)*(q + 11)/7
Let f(v) be the third derivative of v**8/84 + 2*v**7/105 - 2*v**6/15 - 4*v**5/15 + 10*v**2 - 22. Solve f(n) = 0 for n.
-2, -1, 0, 2
Let s(g) be the first derivative of 9*g**5 + 20*g**4 - 335*g**3/3 + 125*g**2 - 40*g + 133. Factor s(x).
5*(x - 1)**2*(x + 4)*(9*x - 2)
Let a(m) = 9*m**3 + 420*m**2 + 14710*m + 171500. Let n(s) = s**3 + 2*s. Let z(b) = -a(b) + 5*n(b). Let z(t) = 0. What is t?
-35
Let q(j) be the second derivative of 9*j**5/20 - 143*j**4/8 + 210*j**3 + 108*j**2 + 93*j - 1. Factor q(i).
3*(i - 12)**2*(6*i + 1)/2
Solve 16/9*f**3 - 2/9*f**4 + 16/3*f - 2 - 44/9*f**2 = 0.
1, 3
Suppose 2*s - 7*s = 0. Let o(x) be the third derivative of 0*x**4 - 1/240*x**5 + 5*x**2 + 1/840*x**7 + s*x + 0*x**3 + 0 + 0*x**6. Let o(a) = 0. What is a?
-1, 0, 1
Let u = 229 - 306. Let y = u - -79. Find c such that -1/3*c**y + 10/3*c - 25/3 = 0.
5
Let i(n) = 2*n + 3. Let c be i(4). Let o be 2/(-11) - (-35)/c. Factor -a + 4*a - 4 + o*a**2 - 5 - 9*a.
3*(a - 3)*(a + 1)
Let k(c) be the third derivative of c**7/70 + c**6/10 - 90*c**2. Factor k(q).
3*q**3*(q + 4)
Let f(n) be the second derivative of -n**4/3 + 44*n**3 - 2178*n**2 + 46*n. Determine p so that f(p) = 0.
33
Let b(l) be the first derivative of -l**6/18 + 4*l**5/15 - 5*l**4/12 + 2*l**3/9 + 152. Let b(y) = 0. What is y?
0, 1, 2
Suppose -2*h**2 - 24 - 60*h - 57*h + 95*h - 24 = 0. Calculate h.
-8, -3
Let m(x) be the first derivative of x**5/240 - x**4/32 - x**3/6 + 19*x**2 + 6. Let f(v) be the second derivative of m(v). Factor f(w).
(w - 4)*(w + 1)/4
Suppose -2 = -d - 2*n, -24 = -2*d - 4*n + 5*n. Factor 2/5*c + 6*c**3 + d*c**4 + 0 - 18/5*c**2.
2*c*(c + 1)*(5*c - 1)**2/5
Let p = 336 - 334. Let r(s) be the third derivative of 0 - 1/630*s**7 - 3*s**p - 1/360*s**6 + 0*s**3 + 1/180*s**5 + 0*s + 0*s**4 + 1/1008*s**8. Factor r(a).
a**2*(a - 1)**2*(a + 1)/3
Suppose 0 = -2*f + 5*j + 29, 15 = -10*f + 5*f - 5*j. Let a(x) b