-3 + 9*f**4 + 10 - 3*f**5 + 2 + 46*f**2 - 30*f**3 + 2*f**5 - 33*f = 0.
1, 3
Let a(i) be the second derivative of i**5/10 + i**4/2 + 2*i**3/3 - 2*i. Factor a(j).
2*j*(j + 1)*(j + 2)
Let b(s) be the second derivative of -2*s**7/189 + s**6/135 + s**5/90 - 2*s. Factor b(j).
-2*j**3*(j - 1)*(2*j + 1)/9
Let m(s) = -s - 2. Let u be m(-4). Suppose -10*h = -12*h + 6. Factor -3/4*i**u - 1/4 - 1/4*i**h - 3/4*i.
-(i + 1)**3/4
Suppose -5 = 4*b - 17. Factor 6*z**2 + 18/7*z**b + 8/7 + 32/7*z.
2*(z + 1)*(3*z + 2)**2/7
Let k = 0 + -2. Let z = k + 4. Factor 0*m**3 + 2*m**z - m**3 + 3*m**3.
2*m**2*(m + 1)
Suppose 6*k = -l + 3*k - 12, 8 = 2*l - 2*k. Let r(b) be the second derivative of -1/6*b**3 + l + 1/36*b**4 + 1/3*b**2 + b. What is p in r(p) = 0?
1, 2
Let h(x) be the third derivative of 0*x**6 + 1/30*x**5 + 0*x**3 + x**2 + 1/24*x**4 + 0 + 0*x - 1/105*x**7 - 1/336*x**8. Factor h(k).
-k*(k - 1)*(k + 1)**3
Let f = -6 - -27. Suppose -3*d + y + f = 5*y, -5*d + 6 = -3*y. What is n in 4/3*n**d - 1/3*n**4 - 4/3*n**2 + 0*n + 0 = 0?
0, 2
Solve 1/8*b**3 - 1/2*b**2 + 1/8*b + 3/4 = 0.
-1, 2, 3
Let v be 104/(-6) + 2/(-3). Let t be (-4)/6*v/4. Find y, given that -y**2 - 2*y**4 - 2*y**4 + y**5 + y**4 + t*y**3 = 0.
0, 1
Let 1/4*c**2 - 3/4*c**4 + 5/4*c**3 - 5/4*c + 1/2 = 0. Calculate c.
-1, 2/3, 1
Let t(o) be the second derivative of -1/48*o**3 - 1/16*o**2 + 1/96*o**4 + 1/160*o**5 + 0 + 4*o. Factor t(d).
(d - 1)*(d + 1)**2/8
Suppose -20 = 3*y + 2*s, 4*y - 3*y = -5*s - 11. Let o be (2/y)/(4/(-36)). Solve -8*d + 8 - 12*d**2 - 19*d**4 + 13*d**4 - 26*d**2 - 28*d**o = 0.
-2, -1, 1/3
Let d(y) be the third derivative of -y**9/60480 + y**7/1680 + y**6/360 + y**5/20 - y**2. Let u(s) be the third derivative of d(s). Solve u(k) = 0 for k.
-1, 2
Let n(g) be the first derivative of g**5/30 - 5*g**4/12 + 2*g**3 - 9*g**2/2 + 9*g/2 + 11. Let n(q) = 0. Calculate q.
1, 3
Factor 6*u - 33/2*u**2 + 27/2*u**4 + 6 - 9*u**3.
3*(u - 1)**2*(3*u + 2)**2/2
Let z be (0 - -13)*(-3)/(-21). Let h = 53/21 - z. Factor 1/3 + 0*x**3 + 0*x - h*x**2 + 1/3*x**4.
(x - 1)**2*(x + 1)**2/3
Let f(d) be the second derivative of -d**7/126 - d**6/15 - 11*d**5/60 - d**4/18 + 2*d**3/3 + 4*d**2/3 + 33*d. Suppose f(y) = 0. Calculate y.
-2, -1, 1
Let s(l) be the third derivative of l**6/90 - 2*l**5/45 + 41*l**2. Determine z, given that s(z) = 0.
0, 2
Let i(b) be the third derivative of b**6/120 - b**5/40 - b**4/4 + b**3/3 + 4*b**2. Let d(q) be the first derivative of i(q). Suppose d(t) = 0. What is t?
-1, 2
Let s(w) be the first derivative of 2*w**5/5 - 3*w**4/2 + 2*w**3 - w**2 - 8. Solve s(a) = 0 for a.
0, 1
Let v = 122 - 117. Let r(x) be the first derivative of -6/5*x**v - 3*x + 21/4*x**4 - 9*x**3 + 15/2*x**2 + 2. What is c in r(c) = 0?
1/2, 1
Let q = -50 - -52. Factor 2/9*j - 16/9*j**q + 10/9*j**3 + 4/9.
2*(j - 1)**2*(5*j + 2)/9
Let p(s) = -3*s**2 + s + 2. Let b be 46/6 - 6/(-18). Let y(x) = x - b*x**2 + x + x**2 + 5. Let v(a) = -10*p(a) + 4*y(a). Factor v(j).
2*j*(j - 1)
Suppose 4*l = -5*n + 8, 5*n + 3*l = -0*l + 11. Let p(s) be the second derivative of -s - 1/10*s**5 - 2/5*s**n + 0 + 0*s**2 - 4/15*s**3. Factor p(h).
-2*h*(h + 2)*(5*h + 2)/5
Let v = -480 + 484. Suppose 0*q**v + 2/5 - 32/5*q**2 + 16/5*q**5 - 49/5*q**3 + 3/5*q = 0. What is q?
-1, -1/4, 1/4, 2
Let p(n) be the first derivative of -6*n**3 - 4*n - 2/5*n**5 - 7*n**2 - 5/2*n**4 + 5. Factor p(o).
-2*(o + 1)**3*(o + 2)
Let x(n) = n**3 - 6*n**2 + n + 3. Let z be x(6). Suppose 1 + z = 5*t. Factor 1/3*r**t + 1/3 - 2/3*r.
(r - 1)**2/3
Let x be 7/35*5 - -3. What is v in -1/2*v**3 + 0*v - v**x + 0*v**2 + 0 - 1/2*v**5 = 0?
-1, 0
Let h(f) be the third derivative of -f**7/350 - f**6/50 - f**5/20 - f**4/20 + 14*f**2. Factor h(b).
-3*b*(b + 1)**2*(b + 2)/5
Let i be 5/15 - 5/(-3). Solve -10*g**2 + 0*g**2 + 6*g**i = 0.
0
Let r(g) be the first derivative of 3*g**4/8 - 3*g**2/4 - 2. Solve r(w) = 0 for w.
-1, 0, 1
Let k(s) be the first derivative of -2*s**3/27 - 2*s**2/9 - 2*s/9 + 16. Factor k(u).
-2*(u + 1)**2/9
Determine q so that 3 - q**3 + 5 + 6*q**2 - 2*q - 10*q + 0*q**3 = 0.
2
Let d = -7 - -3. Let s be 10/d*2/(-20). Let -j - 1 - s*j**2 = 0. What is j?
-2
Let k(v) = v. Let a(f) = -4*f**2 - 2*f. Let o(l) = a(l) + 6*k(l). Factor o(x).
-4*x*(x - 1)
Let y(k) be the third derivative of -k**8/504 - k**7/315 + k**6/90 + k**5/45 - k**4/36 - k**3/9 + 6*k**2. Factor y(l).
-2*(l - 1)**2*(l + 1)**3/3
Let d = 18 + -16. Suppose 5*c - 8 = d. Factor 0 + 1/5*p - 1/5*p**c.
-p*(p - 1)/5
Factor -2/13*m**4 + 0*m + 4/13*m**3 + 0 - 6/13*m**5 + 0*m**2.
-2*m**3*(m + 1)*(3*m - 2)/13
Let s = -195/4 - -49. Suppose -1/4 + s*t**2 + 1/4*t**3 - 1/4*t = 0. What is t?
-1, 1
Let l(y) be the first derivative of 9*y**4/2 - 2*y**3 - 8*y**2 + 8*y + 13. Factor l(t).
2*(t + 1)*(3*t - 2)**2
Suppose 2*c - 6 = -c. Let q = 106 - 740/7. Solve 2/7*d**c + q + 4/7*d = 0 for d.
-1
Factor 4/5*b**2 + 4/5 + 8/5*b.
4*(b + 1)**2/5
Let t be (2 + (-5)/2)/(-1 + 0). Find i such that 0 - 1/4*i**3 - 3/4*i**4 + 0*i + 0*i**2 - t*i**5 = 0.
-1, -1/2, 0
Let t(h) be the third derivative of h**6/720 - h**4/48 - 5*h**3/6 - 6*h**2. Let x(n) be the first derivative of t(n). Factor x(d).
(d - 1)*(d + 1)/2
Let c(l) be the second derivative of -l**4/30 + 4*l**2/5 + 2*l. Factor c(m).
-2*(m - 2)*(m + 2)/5
Factor 3*p + 24 - p**4 - 2*p**4 - p**4 + 25*p - 28*p**3 - 20*p**2.
-4*(p - 1)*(p + 1)**2*(p + 6)
Let q(n) be the first derivative of -1/35*n**5 - 2 - 3/28*n**4 + 0*n - 1/14*n**2 - 1/7*n**3. Factor q(k).
-k*(k + 1)**3/7
Let n(z) = -7*z**4 - 8*z**3 - z**2 + 8*z + 13. Let f(y) = -6*y**4 - 8*y**3 - 2*y**2 + 8*y + 12. Let j(m) = -5*f(m) + 4*n(m). Factor j(i).
2*(i - 1)*(i + 1)*(i + 2)**2
Let t(u) be the first derivative of u**3/3 - u**2/2 + 8. What is k in t(k) = 0?
0, 1
Let o(q) be the third derivative of -q**7/420 - q**6/144 + q**5/90 + q**4/36 + 4*q**2. Factor o(k).
-k*(k - 1)*(k + 2)*(3*k + 2)/6
Let w = -101 + 101. Factor w - 1/4*b**3 + 1/4*b + 1/4*b**4 - 1/4*b**2.
b*(b - 1)**2*(b + 1)/4
Let d(s) be the second derivative of s**4/9 - 14*s**3/9 + 4*s**2 - 4*s - 10. Factor d(f).
4*(f - 6)*(f - 1)/3
Let p(b) be the first derivative of 2*b**5/135 + b**4/108 - 7*b**2/2 - 8. Let z(q) be the second derivative of p(q). Factor z(t).
2*t*(4*t + 1)/9
Let w(x) = -2*x**2 + x. Let a be w(2). Let j = -6 - a. Solve 2/3*y + j - 2/3*y**3 + 0*y**2 = 0.
-1, 0, 1
Let x(s) = 4*s**3 + 3*s**2 + 3*s - 3. Let y(k) = -3*k**3 - 2*k**2 - 2*k + 2. Let l(a) = -5*x(a) - 7*y(a). Find i, given that l(i) = 0.
-1, 1
Let p be ((-3)/6)/(69/12). Let k = 40/69 - p. Factor 0*a + 0 + k*a**4 + a**5 + 0*a**2 + 0*a**3.
a**4*(3*a + 2)/3
Determine d, given that 15*d**3 - 15*d**2 + 3/2*d**5 - 15/2*d**4 + 15/2*d - 3/2 = 0.
1
Let n(m) = -m**2 + 5. Let b be n(0). Factor 0*x**3 + 2*x**b - 10*x**2 + 2*x**4 - 4*x - 4*x**3 - 2*x**3.
2*x*(x - 2)*(x + 1)**3
Let y(s) = -3*s**5 - 9*s**4 - 3*s**3 + 3*s**2 + 3*s. Let q(z) = 6*z**5 + 19*z**4 + 7*z**3 - 5*z**2 - 6*z. Let f(u) = 3*q(u) + 7*y(u). Factor f(r).
-3*r*(r - 1)*(r + 1)**3
Let s be 1 - 0 - (5 - -2). Let q be (s/(-15))/(2/30). Solve -3*i - 2*i - q*i**4 + 2 + 2*i**5 - i + 4*i**3 + 4*i**2 = 0.
-1, 1
Let y(z) be the second derivative of -z**5/80 + 5*z**4/48 + 13*z**3/24 + 7*z**2/8 + 65*z. Suppose y(m) = 0. What is m?
-1, 7
Let j = 58861/287 - 484/41. Let h = j + -193. Factor 0 - h*f**3 + 0*f**2 + 0*f.
-2*f**3/7
Let o(d) = 2*d**3 + 2*d - 1. Let c be o(1). Solve -9*g + 15*g - 3*g - 3*g**c = 0.
-1, 0, 1
Let l(q) be the first derivative of -q**4/66 + q**3/11 - 2*q**2/11 + 2*q - 9. Let j(n) be the first derivative of l(n). Factor j(s).
-2*(s - 2)*(s - 1)/11
Let b(q) be the second derivative of 0*q**5 + 0*q**2 + 0 + 0*q**3 - 1/12*q**4 + 1/30*q**6 - q. Factor b(g).
g**2*(g - 1)*(g + 1)
Let r(j) be the second derivative of j**5/4 + 5*j**4/12 + 22*j. Solve r(p) = 0.
-1, 0
Determine q, given that 2/5*q**4 + 1/5*q**5 - 1/5*q**3 + 0*q - 2/5*q**2 + 0 = 0.
-2, -1, 0, 1
Suppose 3*o - 8 = 4*u - o, -3*u = 5*o - 34. Suppose -j = 1 - 0, 5 = u*m + 4*j. Let -1/4*k + 1/4*k**m + 1/4 - 1/4*k**2 = 0. Calculate k.
-1, 1
Let s(c) be the first derivative of -4/9*c**6 + 2/3*c + 3 + 2*c**2 + 16/9*c**3 - 1/3*c**4 - 6/5*c**5. Determine j so that s(j) = 0.
-1, -1/4, 1
Let u(l) = -l**3 + 5*l**2 - 5*l + 6. Suppose -2*s + 0*j = -5*j + 2, 5*j = 10. Let w be u(s). Factor 8*i + 8 - i**w + 3*i**2