 -o - 30 + 31. Let x(y) be the first derivative of 5/2*y**4 + 8*y - 10*y**3 + 6*y**5 + o - 3*y**6 + 0*y**2. Let x(c) = 0. Calculate c.
-2/3, 1
Let v(b) = -b**3 + b**2. Let i(p) = 3*p - 5*p**3 - 1 + 0 - p**2 + 4*p**3. Let x(m) = -3*i(m) + 6*v(m). Factor x(a).
-3*(a - 1)**3
Let q(f) be the third derivative of -f**9/5040 + f**8/2240 - f**4/8 + 4*f**2. Let y(v) be the second derivative of q(v). Find b, given that y(b) = 0.
0, 1
Let c(i) = 3*i**4 + i**3 + 5*i**4 - i**4 + 6*i. Let y(w) = 6*w**4 + w**3 + 5*w. Suppose 0 = r - 1 + 6. Let x(s) = r*c(s) + 6*y(s). Factor x(n).
n**3*(n + 1)
Let y(n) be the second derivative of -3*n**5/20 + 3*n**3/2 - 3*n**2 + 24*n. Factor y(k).
-3*(k - 1)**2*(k + 2)
Let u(x) be the first derivative of 108*x**4/5 - 72*x**3/5 + 18*x**2/5 - 2*x/5 - 5. Factor u(a).
2*(6*a - 1)**3/5
Let g(h) be the third derivative of h**6/30 + h**5/5 + h**4/3 - 29*h**2. Determine f so that g(f) = 0.
-2, -1, 0
Let n be ((-533)/(-273) - -7) + 4/(-6). Factor -n*l**4 - 30/7*l**2 - 4/7*l - 18/7*l**5 + 0 - 66/7*l**3.
-2*l*(l + 1)**3*(9*l + 2)/7
Factor -30*m**3 - 17*m + 30*m**3 + m - 12*m**2 + 2*m**4 - 6.
2*(m - 3)*(m + 1)**3
Let y be 1/(2*4/(-32)). Let u(f) = f**3 + 4*f**2 + 3. Let m be u(y). Let 1/3*z**2 + 0*z + 1/3*z**m + 0 = 0. Calculate z.
-1, 0
Let j(x) be the second derivative of 3*x**5/4 - 7*x**4/4 - 4*x**3 + 6*x**2 - 2*x. Factor j(z).
3*(z - 2)*(z + 1)*(5*z - 2)
Find r such that -1/2*r**3 - 1/2*r**5 + 0*r + 0 + r**4 + 0*r**2 = 0.
0, 1
Let i(c) = 3*c**3 + c**2 - 1. Let g be i(1). Suppose -2*a + 3 + g = 0. Factor 0*v - 4/3*v**2 + 0*v**a + 2/3*v**4 + 2/3.
2*(v - 1)**2*(v + 1)**2/3
Let f(q) be the second derivative of 0 - 1/3*q**3 + 9*q - 2/5*q**2 - 2/15*q**4 - 1/50*q**5. Factor f(k).
-2*(k + 1)**2*(k + 2)/5
Let g(r) be the first derivative of -r**6/45 + r**5/60 + 5*r**4/36 + r**3/9 + 3*r - 5. Let u(x) be the first derivative of g(x). Solve u(h) = 0 for h.
-1, -1/2, 0, 2
Let s(f) be the second derivative of 0 - 3/20*f**5 + 0*f**4 + 1/2*f**3 + 0*f**2 + f. Suppose s(r) = 0. What is r?
-1, 0, 1
Let q be 5 - (-1)/(2/(-4)). Let y be 16/12*q/2. Let y*b**2 - 3*b**2 + 2 + 3*b**2 + 4*b = 0. Calculate b.
-1
Factor -2/15*g - 2/15*g**2 + 4/15.
-2*(g - 1)*(g + 2)/15
Let i(v) be the third derivative of v**9/1680 - v**8/1120 + v**4/6 + 9*v**2. Let x(q) be the second derivative of i(q). Factor x(s).
3*s**3*(3*s - 2)
Factor 0*x**2 - 4/3 + 2/3*x**3 - 2*x.
2*(x - 2)*(x + 1)**2/3
Suppose -8 = -4*r - 0*r. Suppose -3 = 3*t, 0*k - 5*t - 17 = -3*k. Determine z, given that -1 + 5*z - 3*z**5 + z**2 - 6*z**2 - z**5 + 8*z**k - z**3 - 2*z**r = 0.
-1, 1/2, 1
Factor 0 - 3/2*a**2 + 15*a.
-3*a*(a - 10)/2
Let c(u) be the second derivative of 0 + 1/63*u**7 - 5*u + 1/3*u**2 + 1/9*u**3 + 1/45*u**6 - 1/9*u**4 - 1/15*u**5. Suppose c(r) = 0. Calculate r.
-1, 1
Factor 28/3*u**2 - 32/3*u - 16/3 + 20/3*u**3.
4*(u - 1)*(u + 2)*(5*u + 2)/3
Let n(l) be the third derivative of 0 + 0*l**3 + 0*l**5 - 1/360*l**6 + 0*l + 1/72*l**4 + 3*l**2. Factor n(p).
-p*(p - 1)*(p + 1)/3
Suppose -3*m - m = -20. Let b = 7 - m. Factor -4/7*w - 2/7 - 2/7*w**b.
-2*(w + 1)**2/7
Suppose 6*a = a - 40. Let b(l) = -l**3 - 7*l**2 + 7*l - 6. Let w be b(a). Solve -2/5*f + 1/5*f**w + 1/5 = 0.
1
Factor -4/3*o - 2/3*o**2 - 2/3.
-2*(o + 1)**2/3
Suppose 0 = -3*b - b + 16. Suppose b*s - 4 = 2*s. Suppose 2*v**5 + 2*v**2 + 4*v**3 + 2 + 2*v**s + 0*v**4 - 6*v**4 - 6*v = 0. Calculate v.
-1, 1
Let l(z) be the third derivative of 2*z**2 + 0*z - 1/480*z**6 + 0*z**4 + 1/240*z**5 + 0*z**3 + 0. Find b, given that l(b) = 0.
0, 1
Let f(m) = 23*m**2 + 5*m + 17. Let x(o) = -4*o**2 - o - 3. Let g(w) = -6*f(w) - 34*x(w). Solve g(k) = 0.
0, 2
Let v(f) = -7*f - 3*f**2 + f**3 + 0*f**2 + 7*f. Let s(d) = 2*d**3 - 7*d**2. Let y(t) = -4*s(t) + 9*v(t). Factor y(l).
l**2*(l + 1)
Let w(l) be the third derivative of l**7/105 + l**6/15 - l**5/15 - l**4 + 3*l**3 + l**2. Solve w(j) = 0 for j.
-3, 1
Let v(r) = r**5 - r**3 - r**2 - r + 1. Let c(w) = 32*w**5 + 48*w**4 - 16*w**3 - 44*w**2 - 12*w - 4. Let n(y) = -c(y) - 4*v(y). What is b in n(b) = 0?
-1, -2/3, 0, 1
Suppose 2*l = 4*k - 26, 5 = 2*k - 5*l - 4. Suppose -5*f = -k - 3. Determine x, given that -x**2 - x**f + 2 + 4*x - 4 = 0.
1
Let t(r) be the second derivative of -r**5/140 - r**4/84 + r**3/21 - 5*r. Let t(i) = 0. Calculate i.
-2, 0, 1
Let b = 15 + -5. Let x be b/4*(-4)/(-2). Determine p, given that -2*p**2 + p**3 - x*p**3 - 4*p**4 + 2*p**4 = 0.
-1, 0
Suppose 8*h - 3*h - 90 = 0. Suppose -10*l**3 - h*l**2 - 3*l**4 + 14*l + 17*l**4 + 4 - 4*l = 0. Calculate l.
-1, -2/7, 1
Let g(i) be the second derivative of 1/36*i**4 - 3*i - 1/2*i**2 + 2/9*i**3 + 0 - 1/90*i**5. Let c(b) be the first derivative of g(b). Factor c(p).
-2*(p - 2)*(p + 1)/3
Let k(a) be the second derivative of -a**9/22680 - a**8/10080 + a**7/3780 + a**6/1080 - a**4/12 + 3*a. Let c(t) be the third derivative of k(t). Factor c(n).
-2*n*(n - 1)*(n + 1)**2/3
Let n = 246/7 - 35. What is i in n*i + 0 + 2/7*i**2 + 1/7*i**3 = 0?
-1, 0
Let q(p) be the first derivative of 0*p**5 + 1/21*p**6 + 0*p**2 - 2 + 0*p**4 + 0*p**3 + 0*p. Factor q(w).
2*w**5/7
Let j(k) = -9*k**4 - 6*k**3 + 3*k**2 - 6*k. Let f(q) = -8*q**4 - 6*q**3 + 2*q**2 - 5*q. Let s be (2/(-2) + 6)*1. Let i(n) = s*j(n) - 6*f(n). Factor i(v).
3*v**2*(v + 1)**2
Let n(j) be the second derivative of 3/10*j**5 + 0*j**2 + 1/10*j**6 + 5*j + 0*j**3 + 0 + 0*j**4. Factor n(k).
3*k**3*(k + 2)
Factor 3*s**2 + 9/5*s**5 - 3*s**4 - s**3 - 4/5 + 0*s.
(s - 1)**3*(3*s + 2)**2/5
Let k(f) = 7*f**4 - 4*f**3 + 2*f**2 + 5. Let m(j) = 4*j**4 - 2*j**3 + j**2 + 3. Let w(p) = -3*k(p) + 5*m(p). Determine x, given that w(x) = 0.
0, 1
Let y(c) be the first derivative of -1/4*c**4 + 1/3*c**3 + c**2 + 4 + 0*c. Determine o so that y(o) = 0.
-1, 0, 2
Let x(d) = d**2 + d - 2. Let m be x(-3). Find h, given that m*h**3 - h**4 - 2*h**4 + 5*h**3 - 3*h**3 = 0.
0, 2
Let d(j) be the third derivative of 0 + 0*j**3 + 0*j - 3/40*j**6 + 7/60*j**5 - 1/336*j**8 + 1/42*j**7 - 3*j**2 - 1/12*j**4. Find u, given that d(u) = 0.
0, 1, 2
Suppose 0 = -4*y + y - 12, 2*y + 18 = 2*j. Suppose -j*v**3 - 2*v**5 + v**4 + v**2 - 3*v**4 + v**2 + 7*v**5 = 0. What is v?
-1, 0, 2/5, 1
Let z(s) be the second derivative of s**6/25 + s**5/10 - s**4/15 - 17*s - 1. Determine m, given that z(m) = 0.
-2, 0, 1/3
Factor j**4 - 8*j + 2*j**3 - 5*j**4 - 18*j**3 - 11*j**2 - 9*j**2.
-4*j*(j + 1)**2*(j + 2)
Let h = -8 - -12. Suppose -v + 6 = -0*v + x, 0 = -v + x + 2. Factor -2*a**v + 2*a**4 + 2*a**h + 2*a**3.
2*a**3*(a + 1)
Let r(a) be the third derivative of a**5/60 - a**4/8 + a**3/3 + 12*a**2. Suppose r(o) = 0. What is o?
1, 2
Let n be 33 + 2 - (-3 - 0). Determine j so that 15*j**5 + n*j**2 - 36*j**4 + 6 + 12*j**3 - 27*j + 5*j**2 - 13*j**2 = 0.
-1, 2/5, 1
Let x(i) be the first derivative of -4*i**3/3 + 8*i**2 + 14. Determine c, given that x(c) = 0.
0, 4
Factor -3*r**5 + 2*r**5 - 10*r**3 + 15*r**3 - r - 3*r**3.
-r*(r - 1)**2*(r + 1)**2
Let b(v) = 3*v + 5*v + 4 + 3*v**2 - 3*v**4 + 2*v - 6*v**3 + 0*v**4. Let a(o) = -o - 1. Let h(u) = -4*a(u) - b(u). Factor h(t).
3*t*(t - 1)*(t + 1)*(t + 2)
Suppose -2*h - 4 + 5 = 3*o, 0 = 2*h + 8. Suppose 0*x + 0 + 1/2*x**4 + 0*x**2 - 1/4*x**5 - 1/4*x**o = 0. What is x?
0, 1
Let b(w) = w**3 + 4*w**2 - 3*w - 2. Let s be b(-4). Let r = s - 10. Factor -1/5*t**2 + 1/5*t**4 + r*t**3 + 0*t + 0.
t**2*(t - 1)*(t + 1)/5
Let z(f) = -3*f. Let d be z(-1). Let 3*w**3 - w**4 + w**2 + w + d*w**2 - 7*w**2 = 0. What is w?
0, 1
Find w, given that -10/3*w**3 + 0*w - 5/3 + 5*w**2 = 0.
-1/2, 1
Let x = 17 - 13. Suppose -x*s**2 - 72/5*s**4 + 2/5*s + 0 + 66/5*s**3 = 0. What is s?
0, 1/4, 1/3
Let y(b) be the first derivative of b**8/6720 - b**7/3360 - b**6/1440 + b**5/480 - 2*b**3 + 6. Let w(q) be the third derivative of y(q). Factor w(n).
n*(n - 1)**2*(n + 1)/4
Let l(s) be the third derivative of s**6/24 + s**5/6 - 5*s**4/6 - 20*s**3/3 - 9*s**2. Determine y so that l(y) = 0.
-2, 2
Let p = -63 + 67. Suppose -s - 5*q = -3*s - 9, 2*q = s + 3. Factor o + 3*o**s - 2*o**2 + p*o**2 - 2*o**3.
o*(o + 1)**2
Let g(u) = u**2 + 14*u + 15. Let q be g(-13). Factor 0*m**q + 0*m + 2/9*m**3 + 0.
2*m**3/9
Let t = -21 + 21. Let w(a) be the first derivative of 2/3*a**3 + 1/2*a**4 + 2/15*a**5 + t*a + 3 + 1/3*a**2. Factor w(y).
2*y*(y + 1)**3/3
Let y(n) be the first derivative of -2*n*