etermine s so that 1/4*s**5 + c*s - 1/4*s**2 + 3/4*s**3 + 0 - 3/4*s**4 = 0.
0, 1
Factor -1/4*d**4 + 1 + 2*d + 1/4*d**5 + 1/4*d**2 - 5/4*d**3.
(d - 2)**2*(d + 1)**3/4
Let q be (2/45)/(1*(-4)/(-20)). Factor 0 + 2/9*o + q*o**3 + 4/9*o**2.
2*o*(o + 1)**2/9
Let y(t) be the third derivative of -t**7/1050 - t**6/200 - t**5/300 + t**4/40 + t**3/15 - 44*t**2 - 2*t. Factor y(o).
-(o - 1)*(o + 1)**2*(o + 2)/5
Let y be (-2)/(-7) + (-95)/(-35). Let j = y - 0. Factor o**5 - 2*o**2 + 0*o**2 - j*o - 4 + 3*o**4 + 2*o**3 + 3.
(o - 1)*(o + 1)**4
Let m = -3111893/57450 - -3/9575. Let k = -54 - m. What is n in 1/3*n**3 + 2/3*n**2 - k*n**5 - 1/3 - 1/3*n**4 - 1/6*n = 0?
-2, -1, 1
Suppose -2*s - 4*w - 208 = 0, -3*s + 2*w = -2*w + 272. Let i = s - -482/5. Determine p so that -i*p - 2/5*p**2 + 4/5 = 0.
-2, 1
Let j(f) be the third derivative of f**8/6720 - f**4/24 + 3*f**2. Let u(g) be the second derivative of j(g). Find w, given that u(w) = 0.
0
Let x(m) be the second derivative of 3/80*m**5 + 0 + 0*m**2 + 1/16*m**4 - 8*m - 1/4*m**3. Factor x(a).
3*a*(a - 1)*(a + 2)/4
Let x(f) = -f + 7. Let w be x(2). Let u(i) be the third derivative of 0*i**3 + 0*i - 2*i**2 + 1/60*i**6 + 0*i**4 + 0 - 1/105*i**7 + 0*i**w. Factor u(n).
-2*n**3*(n - 1)
Factor -2*q**4 + 3*q**2 + q**4 + 0*q**2 - 2*q**3.
-q**2*(q - 1)*(q + 3)
Let t(h) be the first derivative of 0*h - 2 - 2/3*h**2 + 2/9*h**3. Determine c so that t(c) = 0.
0, 2
Let j = -8 - -4. Let g = -2 - j. Factor -t**2 - 4*t**2 + 2*t + 4*t**g.
-t*(t - 2)
Factor 0 + 28/5*b**2 + 24/5*b + 4/5*b**3.
4*b*(b + 1)*(b + 6)/5
Let t(u) be the first derivative of -1/2*u**2 + 1/24*u**3 - 1/240*u**5 + 0*u**4 + 2 + 0*u. Let z(w) be the second derivative of t(w). Factor z(c).
-(c - 1)*(c + 1)/4
Let n be 3/2 - 0 - (-9)/(-6). Let z(g) be the first derivative of 1/6*g**6 - 1/5*g**5 + 0*g**2 + 0*g + 0*g**4 + n*g**3 - 2. Let z(o) = 0. Calculate o.
0, 1
Let y(z) be the second derivative of 5*z + 0*z**3 + 0*z**2 + 0 + 1/4*z**4. Factor y(r).
3*r**2
Let c be (-2)/3 + 130/6. Let d be 57/c + 4/14. Factor 0 + 1/5*q - 1/5*q**4 - 3/5*q**2 + 3/5*q**d.
-q*(q - 1)**3/5
Suppose 3*x - 25 = 8. Let i be 1/(-4) + (-21)/(-4). What is y in 0*y**4 - x*y**4 - 3*y**i - 2*y - 4*y**2 - 5*y**2 - 15*y**3 = 0?
-1, -2/3, 0
Let x be 4/(-16) - (-2)/8. Suppose -l - 2*l = x. Factor -1/2*r**2 + l - r.
-r*(r + 2)/2
Let b = 3497/2910 - 1/582. Let 3/5*d**3 + 0 + 3/5*d + b*d**2 = 0. Calculate d.
-1, 0
Let r(n) be the first derivative of 75*n**4/16 - 55*n**3/6 + 13*n**2/2 - 2*n - 5. Factor r(m).
(3*m - 2)*(5*m - 2)**2/4
Let c(o) be the third derivative of -o**7/3360 + o**6/480 - o**5/240 + o**3/3 + 2*o**2. Let a(v) be the first derivative of c(v). Factor a(h).
-h*(h - 2)*(h - 1)/4
Let x(d) be the third derivative of -d**6/180 + d**4/12 - d**3/3 - 3*d**2. Let m(f) be the first derivative of x(f). Factor m(h).
-2*(h - 1)*(h + 1)
Let m = -254/99 + 28/9. Suppose 2/11*o**3 + m*o**2 + 6/11*o + 2/11 = 0. What is o?
-1
Factor -507/5*q**2 - 48/5 - 312/5*q.
-3*(13*q + 4)**2/5
Let y(s) be the first derivative of -s**6/2 + 3*s**5/5 + 3*s**4/2 - 2*s**3 - 3*s**2/2 + 3*s + 7. Factor y(q).
-3*(q - 1)**3*(q + 1)**2
Let h(v) = 3*v**3 + 15*v**2 + 13*v - 31. Let l(u) = -9*u**3 - 45*u**2 - 38*u + 92. Let o(c) = -11*h(c) - 4*l(c). Suppose o(g) = 0. Calculate g.
-3, 1
Let g(n) = -n**3 - 5*n**2 - 5*n - 1. Let u be g(-4). Suppose u*l = -o + 3, -2*l + 0*l - 4*o - 8 = 0. Determine m, given that 1/2*m**l - 1 - 1/2*m = 0.
-1, 2
Let o(u) = -u**2 - 16*u - 13. Let t be o(-15). Solve 3/2 - 3*j**t - 3/2*j - 3/2*j**5 + 3/2*j**4 + 3*j**3 = 0.
-1, 1
Find w, given that -2/7*w**2 - 4/7*w + 0 = 0.
-2, 0
Let t(j) be the third derivative of j**5/20 + 3*j**4/2 - 13*j**3/2 + 26*j**2. Factor t(s).
3*(s - 1)*(s + 13)
Let j(p) = -7*p + 7. Let b be j(13). Let y be b/35*(-1)/4. What is m in 6/5*m - y*m**2 - 3/5*m**3 + 0 = 0?
-2, 0, 1
Let a(b) be the third derivative of b**8/26880 + b**7/3360 + b**6/960 + b**5/480 - b**4/8 - b**2. Let z(h) be the second derivative of a(h). Factor z(d).
(d + 1)**3/4
Let 8/9*c**4 - 2/9 + 2*c**2 - 2/9*c - 22/9*c**3 = 0. What is c?
-1/4, 1
Let t(f) be the first derivative of 7*f**3 - 15*f**2/2 - 6*f - 10. Factor t(s).
3*(s - 1)*(7*s + 2)
Factor -4/7 - 2/7*y**2 + 6/7*y.
-2*(y - 2)*(y - 1)/7
Let c(h) be the second derivative of h**8/13440 - h**7/1008 + h**6/180 - h**5/60 + h**4/12 + 7*h. Let r(b) be the third derivative of c(b). Factor r(i).
(i - 2)**2*(i - 1)/2
Let m(l) be the second derivative of -l**6/540 + l**4/36 - 5*l**3/6 + l. Let g(y) be the second derivative of m(y). Factor g(b).
-2*(b - 1)*(b + 1)/3
Let z be (1 - (-1 - -1))/1. Let d = z + 1. Find v, given that 8*v**5 - 6*v - 6*v**4 + v**2 + d - 6*v**5 + 4*v**3 + 3*v**2 = 0.
-1, 1
Let b(d) be the third derivative of d**7/2520 - d**6/1080 - d**5/360 + d**4/72 + d**3/2 - 2*d**2. Let z(r) be the first derivative of b(r). Factor z(u).
(u - 1)**2*(u + 1)/3
Let l = 0 + 2. Factor -2*h**2 - 4*h**2 - 3*h + 4*h**2 + h**2 - l.
-(h + 1)*(h + 2)
Let v(u) be the first derivative of -3*u**5/5 - 3*u**4/2 - u**3 + 34. Let v(r) = 0. What is r?
-1, 0
Let g(h) be the first derivative of 2/7*h**2 + 1/7*h**3 + 2 - 2*h + 1/42*h**4. Let m(w) be the first derivative of g(w). Find y such that m(y) = 0.
-2, -1
Let f(m) = 8*m**2 - 75*m + 128. Let b be ((-27)/(-6) - 3)*-4. Let y(v) = -2*v**2 + 19*v - 32. Let n(p) = b*f(p) - 22*y(p). Factor n(a).
-4*(a - 4)**2
Let l(x) = x**3 - 7*x**2 + 3. Let v be l(7). Factor 4/5*j**v - 2/5*j**4 + 0*j**2 + 2/5 - 4/5*j.
-2*(j - 1)**3*(j + 1)/5
Let h(u) be the second derivative of u**5/80 + 3*u**4/16 + 9*u**3/8 + 27*u**2/8 - 19*u. Factor h(x).
(x + 3)**3/4
Let m(q) = 1. Let k(i) = i**2 + 4*i + 1. Let a(c) = -5*k(c) - 15*m(c). Solve a(z) = 0.
-2
Suppose 1/3*p**4 - p**2 - 4/3*p + 4/3 + 2/3*p**3 = 0. What is p?
-2, 1
Let w be (-2 - 44/(-16))*(-104)/(-585). Factor -4/15*a + w*a**2 + 2/15.
2*(a - 1)**2/15
Let i(f) be the first derivative of -1/4*f - 1/4*f**2 + 1/2*f**4 + 1 + 1/12*f**6 + 7/20*f**5 + 1/6*f**3. Factor i(t).
(t + 1)**4*(2*t - 1)/4
Let l be 10/147*405/60. Let v = l + 2/49. Suppose 0 + 0*b - 1/2*b**5 + v*b**4 + 1/2*b**3 - 1/2*b**2 = 0. What is b?
-1, 0, 1
Suppose -3*g + 2 = -g. Let n be (6/(-4))/(g/(-2)). Factor 3*t - 8*t**2 - 3*t + 2*t - 8*t**4 + 12*t**n + 2*t**5.
2*t*(t - 1)**4
Let j(q) be the second derivative of -q**6/660 - q**5/165 - q**4/132 - q**2 + q. Let f(r) be the first derivative of j(r). Factor f(h).
-2*h*(h + 1)**2/11
Let b = -2 + 4. Suppose 2*p = -3*p. Let p - 2/9*t**b + 2/9*t = 0. Calculate t.
0, 1
Suppose -21 = -4*y - g, 2*y = -0*y - 4*g + 28. Suppose -2*k**3 + 0*k - y*k + 6*k**3 = 0. Calculate k.
-1, 0, 1
Suppose o = -2*i + 9, -16 = -5*i + 2*i + o. Factor a**2 + 0*a**2 + 2 + i*a**2 - 2*a + 10*a.
2*(a + 1)*(3*a + 1)
Factor 2/3*c**5 - 2/3*c**3 - 2/3*c**2 + 0*c + 2/3*c**4 + 0.
2*c**2*(c - 1)*(c + 1)**2/3
Let m(d) = -d**5 - 4*d**4 + 8*d**3 - 4*d**2 - d + 2. Let b(r) = 5*r**5 + 16*r**4 - 33*r**3 + 16*r**2 + 5*r - 9. Let c(q) = 2*b(q) + 9*m(q). Factor c(g).
g*(g - 1)**4
Let c(n) be the second derivative of n**6/10 + 9*n**5/20 + 3*n**4/4 + n**3/2 - 16*n. Solve c(u) = 0.
-1, 0
Let l = 2 - -3. Factor -2*v**4 - 13*v**3 + 4*v**l + 2*v**4 + 20*v**2 + v**3 - 8*v - 4*v**4.
4*v*(v - 1)**3*(v + 2)
Let i = -4 - -8. Find q, given that -i*q**2 + 4 + 4*q + 6*q**2 - 2 = 0.
-1
What is h in -6*h + 17*h - 8*h - 2 + 2*h**3 - 5*h + 2*h**2 = 0?
-1, 1
Let b(q) be the third derivative of q**5/12 - 5*q**4/8 + 5*q**3/3 - 9*q**2. Suppose b(v) = 0. What is v?
1, 2
Suppose 2*k - 12 = -k. Let i(n) be the first derivative of 0*n**3 + 0*n**2 - 1/12*n**k - 1/15*n**5 - 2 + 0*n. Factor i(y).
-y**3*(y + 1)/3
Let d(q) = -4*q + 48. Let p be d(11). Let n(g) be the first derivative of 0*g + 2*g**2 - 2/3*g**3 - 1/2*g**p - 2. Factor n(a).
-2*a*(a - 1)*(a + 2)
Let w(v) be the third derivative of v**8/1176 - v**7/735 - v**6/105 + 2*v**5/105 + 6*v**2 + 2*v. What is b in w(b) = 0?
-2, 0, 1, 2
Let p(q) be the first derivative of -16*q**6/3 + 48*q**5/5 + 7*q**4/2 - 46*q**3/3 + 9*q**2 - 2*q - 1. Find r, given that p(r) = 0.
-1, 1/4, 1
Suppose -5*b + 4 = 4*n - 14, -2*b = 3*n - 3. Let g be 58/18 - b/27. Solve -7*i**2 + 0*i**3 - 3*i**g - 2*i**3 - 2*i = 0.
-1, -2/5, 0
Suppose 5*q = -q + 12. Find f such that 1/4*f + 0 + f**q = 0.
-1/4, 0
Solve 1/9*q**4 - 1/9*q**3 + 0*q + 0 + 0*q**2 =