/3*o**h + 0 + 2/3*o = 0. Calculate o.
0, 2
Let a(c) be the second derivative of c**5/60 - 5*c**2/2 + c. Let l(g) be the first derivative of a(g). Determine r so that l(r) = 0.
0
Let v(n) be the first derivative of -4*n**5/5 + 4*n**3/3 + 41. Let v(r) = 0. Calculate r.
-1, 0, 1
Let g be 11/(-6) + -10 + 12. Let y(a) be the third derivative of 0*a + g*a**3 + 1/12*a**4 - a**2 + 0 + 1/60*a**5. Solve y(x) = 0.
-1
Let f(r) be the second derivative of -r**4/48 + r**3/24 + 9*r. Let f(z) = 0. Calculate z.
0, 1
Let w(l) be the first derivative of l**5 - 5*l**4/4 - 5*l**3/3 + 5*l**2/2 - 14. Factor w(g).
5*g*(g - 1)**2*(g + 1)
Let p be ((-8)/(-56))/(4/8). Factor 0*m**2 + 4/7*m - 2/7 + p*m**4 - 4/7*m**3.
2*(m - 1)**3*(m + 1)/7
Suppose 2*v + 3*v = 0. Let j(w) be the second derivative of 0 - 2*w + v*w**2 + 0*w**4 + 0*w**3 + 3/20*w**5. Factor j(z).
3*z**3
Let l(q) be the first derivative of 2*q**3/33 - 2*q**2/11 - 11. Solve l(u) = 0 for u.
0, 2
Let q(v) = 2*v**2 - 30*v - 30. Let p be q(16). Suppose 2/5*t + 0*t**p + 1/5*t**4 - 2/5*t**3 - 1/5 = 0. What is t?
-1, 1
Solve -3/2*q - 2 + 1/2*q**2 = 0 for q.
-1, 4
Let y = 290 - 290. Factor -2/5*j**2 + 2/5*j**4 + 1/5*j**5 + y + 0*j**3 - 1/5*j.
j*(j - 1)*(j + 1)**3/5
Let d(p) be the first derivative of 4*p**3/21 + 3*p**2 + 20*p/7 - 11. Factor d(l).
2*(l + 10)*(2*l + 1)/7
Let d(h) be the third derivative of 1/3*h**3 - 1/6*h**4 - 4*h**2 + 0 + 0*h**5 + 0*h + 1/30*h**6 - 1/105*h**7. Determine i so that d(i) = 0.
-1, 1
Let d(r) = -r + 2*r - 1 - r**3 - 2*r. Let c(v) = 4*v**3 + 5*v + 5. Let q(s) = -2*c(s) - 10*d(s). Let q(y) = 0. What is y?
0
Let c(q) be the first derivative of -5*q**4/4 - 5*q**3/3 + 20*q**2 + 60*q + 5. Factor c(v).
-5*(v - 3)*(v + 2)**2
Let l(p) be the first derivative of 1/3*p**3 - 1/5*p**5 - 4 + 0*p + 0*p**2 - 1/4*p**4 + 1/6*p**6. Determine y, given that l(y) = 0.
-1, 0, 1
Let r(h) be the first derivative of -h**3/18 - 5*h**2/12 + h - 5. Factor r(g).
-(g - 1)*(g + 6)/6
Suppose 4*i - 3*i = 0. Suppose 0*o + o + 3 = -f, o + 3*f + 13 = i. Factor -3*q**2 - 2*q + 4*q**o - 2*q**2 + q.
-q*(q + 1)
Let n be (-2)/(-4) + (-35)/(-10). Suppose -5*a + 4*v + n = 0, 0 = 3*a + 5*v - 3*v - 20. Determine c so that 3*c**5 - a*c**4 + c**4 + 0*c**4 = 0.
0, 1
Let h(t) be the first derivative of -4*t**5/25 + t**4/5 - 3. Determine y so that h(y) = 0.
0, 1
Let x(t) be the second derivative of -4/75*t**6 + 3/50*t**5 + 1/30*t**4 + 0*t**3 + 0 + 0*t**2 - 3*t. Factor x(i).
-2*i**2*(i - 1)*(4*i + 1)/5
Let c = 106 - 71. Suppose -j - 4 - 7 = -3*o, 5*j = -3*o + c. Factor 0*h + 5*h**3 - j*h**3 - h.
h*(h - 1)*(h + 1)
Let n(s) = 4*s**3 + 6*s**2 - 6*s + 11. Let l(j) = -j**3 - j - 1. Let x(c) = 10*l(c) + 2*n(c). What is p in x(p) = 0?
1, 2, 3
Suppose -5*a + 8 = -3*a. Let z = 7 - 4. Let n - 2/3 + 7/3*n**2 - n**z - 5/3*n**a = 0. What is n?
-1, 2/5, 1
Factor 7*b**2 - 7*b - 2*b**2 - 3*b**3 - 8*b + 13*b.
-b*(b - 1)*(3*b - 2)
Let l = 16 + -31. Let z be l/(-20)*(4 + 0). Suppose 2/5*b**z - 2/5*b**4 + 0 + 0*b**2 + 0*b = 0. What is b?
0, 1
Let g(j) be the second derivative of 0 + 3*j**4 + 3*j + 9/2*j**3 + 3/4*j**5 + 3*j**2. Factor g(w).
3*(w + 1)**2*(5*w + 2)
Let f(o) be the third derivative of -o**8/784 + o**7/490 - 10*o**2 - 1. Factor f(x).
-3*x**4*(x - 1)/7
Let s(w) = w + 6. Let l be s(6). Suppose l - 2 = 5*y. Factor -y*i**2 + 0*i**2 + 4*i + 2 - 2*i - 2*i**3.
-2*(i - 1)*(i + 1)**2
Let g(r) be the second derivative of r**8/6720 - r**7/630 + r**6/180 - r**4/4 + 3*r. Let j(y) be the third derivative of g(y). Factor j(d).
d*(d - 2)**2
Let w(d) = 6 + 2*d - d + 5. Let b be w(-8). Solve 3*o**2 + o - 7*o**3 - b*o**4 - 2*o**3 + 2*o + 6*o**5 = 0.
-1, -1/2, 0, 1
Suppose -10 = -5*g + 15. Solve w**5 - 2*w**3 - 4*w**3 + 2*w**g + 3*w = 0.
-1, 0, 1
Let q(k) be the first derivative of 0*k + 0*k**3 + 0*k**2 + 1 + 1/12*k**4. Factor q(d).
d**3/3
Let x be (-3)/(-14)*-2 + 1. Find n, given that x*n**2 - 2/7 - 4/7*n**3 - 2/7*n**4 + 2/7*n + 2/7*n**5 = 0.
-1, 1
Let q(h) be the second derivative of 6*h**2 + 1/4*h**4 + 2*h**3 - 2*h + 0. Factor q(c).
3*(c + 2)**2
Let x(r) be the third derivative of 0*r**3 - r**2 - 1/60*r**5 + 0*r + 1/336*r**8 - 1/120*r**6 + 0 + 1/210*r**7 + 0*r**4. Solve x(s) = 0.
-1, 0, 1
Let y = 538 + -535. Factor 0 + 2/7*f**y + 0*f - 2/7*f**2.
2*f**2*(f - 1)/7
Let h(n) = n**2 + n. Let z(j) = -3 - 4*j - 5*j + 0*j - 6*j**2. Let k(y) = -3*h(y) - z(y). Factor k(q).
3*(q + 1)**2
Factor -19*t**2 + 2*t + t**3 + 10*t**2 + 12*t**2.
t*(t + 1)*(t + 2)
Let i(g) be the second derivative of -g**4/36 + 2*g**2/3 - 9*g. Find k, given that i(k) = 0.
-2, 2
Let c be 7/3 + 2/(-6). Suppose -i - c = -2*i. Let -3*b**i + 2*b**2 + 0*b + 2*b - b**3 = 0. What is b?
-2, 0, 1
Let v(y) be the first derivative of 2 + y**2 - 1/3*y**3 + 0*y. Factor v(f).
-f*(f - 2)
Let y be -6*1/3*-2. Suppose -q = y, 2*q + 28 = -b + 6*b. Suppose f**4 + 2*f**2 - f**5 - f + 2*f - 3*f**b = 0. Calculate f.
-1, 0, 1
Let y(v) = -9*v**2 + 9*v**2 + 3 + v**3 + v**2 - 4. Let c(h) = 12*h**4 - 11*h**3 + 2*h**2 + h - 2. Let f(s) = c(s) - 2*y(s). Factor f(k).
k*(k - 1)*(3*k - 1)*(4*k + 1)
Let p be 6*(-1 - (-6)/9) - -2. Factor 0 - 1/4*k**5 + 3/4*k**4 + p*k - 3/4*k**3 + 1/4*k**2.
-k**2*(k - 1)**3/4
Let z = 49 - 46. Let k(h) be the second derivative of z*h - 1/30*h**5 + 0 - 1/18*h**4 + 0*h**2 + 0*h**3. Factor k(a).
-2*a**2*(a + 1)/3
Let c(l) be the third derivative of -l**7/1050 + l**5/100 + l**4/60 - 47*l**2. Factor c(y).
-y*(y - 2)*(y + 1)**2/5
Let i(t) = 4*t**5 - 18*t**4 + 50*t**3 - 66*t**2 + 34*t + 2. Let n(u) = u**5 - u**4 + u**3 - u**2 + u + 1. Let k(p) = i(p) - 2*n(p). Factor k(l).
2*l*(l - 2)**4
Let y(a) be the first derivative of -3/2*a**2 + 5 + 0*a - 4/5*a**5 + 10/3*a**3 + 9/4*a**4. Let y(r) = 0. Calculate r.
-1, 0, 1/4, 3
Suppose -x = -4*t + x + 10, -4*t + x = -11. Factor -12*g - 15*g**t - 34 - 3*g**4 + 34 - 24*g**2.
-3*g*(g + 1)*(g + 2)**2
Let x = -5 + 8. Factor 16*y - 120*y**2 - 68*y - 32*y**4 - 62*y**x - 8 - 50*y**3.
-4*(y + 2)*(2*y + 1)**3
Factor 141 - 120*o**2 - 6*o**3 - 2701 - 204*o - 756*o + o**3.
-5*(o + 8)**3
Let v(r) be the second derivative of -r**7/105 - r**6/25 - r**5/25 + r**4/15 + r**3/5 + r**2/5 - 4*r. Factor v(n).
-2*(n - 1)*(n + 1)**4/5
Let o = 3/88 + 167/264. Factor -2/3*a - o*a**2 + 0.
-2*a*(a + 1)/3
Determine z, given that 3/2*z**2 + 9*z - 6 + 9/2*z**4 - 33/4*z**3 - 3/4*z**5 = 0.
-1, 1, 2
Let u(a) be the second derivative of 2*a + 0 - 1/3*a**2 + 2/15*a**5 + 2/3*a**3 - 1/2*a**4. Solve u(k) = 0 for k.
1/4, 1
Let x(o) be the first derivative of -6*o**5/65 - 4*o**4/13 - 8*o**3/39 - 8. Factor x(i).
-2*i**2*(i + 2)*(3*i + 2)/13
Let v(k) be the second derivative of 3*k**7/280 - k**6/40 + k**5/60 - 3*k**2/2 + 2*k. Let w(z) be the first derivative of v(z). Find g such that w(g) = 0.
0, 2/3
Suppose 0 = -2*b + 6 - 2. Determine t so that -3*t**2 + 2*t**2 - t**2 - b*t**2 = 0.
0
Find m, given that -8 + 6*m - 84*m**2 - 27*m + 18*m**2 - 35*m = 0.
-2/3, -2/11
Let r(x) be the second derivative of 2*x**6/15 - 3*x**5 + 9*x**4 - 26*x**3/3 - 2*x + 17. Find z, given that r(z) = 0.
0, 1, 13
Let g(c) = 11*c - 9. Let k be g(1). Solve 1/2 - 2*f + 2*f**k = 0.
1/2
Let f = -30 + 34. Let k(t) be the third derivative of 0*t**3 + 1/180*t**5 + 0*t + 1/72*t**f + 0 - t**2. Determine y so that k(y) = 0.
-1, 0
Let j(v) be the second derivative of -11*v**4/9 - 37*v**3/9 - 2*v**2 + 4*v + 6. Let j(x) = 0. Calculate x.
-3/2, -2/11
Let j(y) be the third derivative of y**7/1260 - y**6/360 + y**4/8 + 2*y**2. Let r(g) be the second derivative of j(g). Factor r(x).
2*x*(x - 1)
Suppose -3*a = -0*a - q + 15, -4*a = -5*q + 20. Let f(w) = -w**2 - w + 1. Let y(x) = 6*x**2 + 7*x - 5. Let g(i) = a*f(i) - y(i). Factor g(z).
-z*(z + 2)
Factor -2*v**3 + 3*v**3 + v**3 + 4*v**2 - v + 3*v.
2*v*(v + 1)**2
Let f = 21/5 - 4. Suppose f*a**5 + 1/5*a - 2/5*a**3 - 4/5*a**2 + 2/5 + 2/5*a**4 = 0. Calculate a.
-2, -1, 1
Let i(r) be the first derivative of -r**6/120 + r**4/8 + r**3/3 + 5*r**2/2 + 6. Let u(c) be the second derivative of i(c). Factor u(n).
-(n - 2)*(n + 1)**2
Let y(o) be the second derivative of -o**6/420 - o**5/210 + o**4/84 + o**3/21 - 3*o**2/2 + 3*o. Let z(k) be the first derivative of y(k). Factor z(x).
-2*(x - 1)*(x + 1)**2/7
Let x(w) be the third derivative of 0*w - 1/330*w**6 + 1/1155*w**7 + 6*w**2 + 1/66*w**4 + 0 + 0*w**3 - 1/330*w**5. Facto