9 + 6*s**2. Factor w(m).
(m - 1)**3*(m + 1)*(m + 2)/3
Let x(m) be the first derivative of -2*m**3/3 - 4*m**2 + 10*m + 10. Factor x(i).
-2*(i - 1)*(i + 5)
Let g(j) be the second derivative of j**4/20 + 2*j**3/15 - 2*j**2/5 - 4*j. Suppose g(p) = 0. What is p?
-2, 2/3
What is t in -4/7 - 2/7*t + 2/7*t**2 = 0?
-1, 2
Let u(c) be the third derivative of c**5/80 - c**3/2 - 3*c**2. Factor u(x).
3*(x - 2)*(x + 2)/4
Let v be 0 - 0 - 2 - -5. Let s be -2*(3/(-2))/1. Solve -3*r**4 - r**s - 5*r**2 + 8*r**4 + 3*r**5 + r - v*r = 0 for r.
-1, -2/3, 0, 1
Factor 0 + 1/3*d - 1/3*d**2.
-d*(d - 1)/3
Let b(r) = -r**3 - 1. Let o(i) = 8*i**3 + 16*i**2 + 14*i + 6. Let m(y) = -2*b(y) - o(y). Solve m(j) = 0.
-1, -2/3
Let t(n) be the first derivative of n**6/2 - 3*n**5/5 - 13. Determine m, given that t(m) = 0.
0, 1
Let u be 779/10 - 1/2. Let q = 78 - u. Determine n, given that 0*n**2 + 0 + 0*n + q*n**5 - 3/5*n**3 + 0*n**4 = 0.
-1, 0, 1
Find o such that -56*o**5 + 112*o**5 - 57*o**5 + o**4 = 0.
0, 1
Factor 1/5*y - 3/10*y**4 + 4/5*y**3 + 0 - 7/10*y**2.
-y*(y - 1)**2*(3*y - 2)/10
Let z(x) be the first derivative of 0*x**3 + 0*x - x**2 + 1/2*x**4 - 3. Find i, given that z(i) = 0.
-1, 0, 1
Let u be (-100)/(-80) - 6/(-8). Let d(g) be the first derivative of 1/2*g**3 + 0*g - u - 1/4*g**4 - 3/10*g**5 + 1/2*g**2. Factor d(t).
-t*(t - 1)*(t + 1)*(3*t + 2)/2
Let x(q) = 2*q - 3. Let f be x(5). Let d(h) = h**3 - 6*h**2 - 7*h + 4. Let p be d(f). Factor 3*o**3 + 2*o**p + 0*o - 5*o**3 - 2 + 4*o - 2*o**3.
2*(o - 1)**3*(o + 1)
Suppose 3 = -3*i - 3. Let h be i/(1 - (-21)/(-15)). Factor 0*c**2 + 2/7*c**h + 0*c + 0*c**3 + 2/7*c**4 + 0.
2*c**4*(c + 1)/7
Factor -2/3*s**3 - 2/3*s**4 + 0 + 0*s + 0*s**2.
-2*s**3*(s + 1)/3
Let g be (14/28)/((-1)/2)*0. Factor -3/5 - 6/5*s + 6/5*s**3 + g*s**2 + 3/5*s**4.
3*(s - 1)*(s + 1)**3/5
Determine a, given that 96*a + 6*a**2 - 21*a**3 - 128 - 14*a**2 - 16*a**2 + 23*a**3 = 0.
4
Let l(n) be the first derivative of 0*n**5 + 0*n**3 + 3 - 1/8*n**6 + 0*n + 3/8*n**4 - 3/8*n**2. Suppose l(r) = 0. Calculate r.
-1, 0, 1
Let h(x) be the third derivative of -x**6/120 + x**5/20 - x**4/12 + 39*x**2. Find b such that h(b) = 0.
0, 1, 2
Let l = 10 - 16. Let k(o) = o**3 + 7*o**2 + 5*o - 3. Let u be k(l). Factor a**4 + a**4 - a**4 - 3*a**u - 2*a - 5*a**2 + a**5.
a*(a - 2)*(a + 1)**3
Let n(m) be the first derivative of -1 + 2/5*m**5 + 0*m + 0*m**2 + 0*m**3 + 0*m**4. Factor n(p).
2*p**4
Let i(h) be the first derivative of h**4/7 - 20*h**3/21 + 16*h**2/7 - 16*h/7 + 4. Suppose i(w) = 0. Calculate w.
1, 2
Let f(r) = -4*r**3 + 33*r**2 - 76*r + 12. Let b(z) = 8*z**3 - 66*z**2 + 151*z - 25. Let q(t) = -4*b(t) - 7*f(t). Factor q(i).
-(i - 4)**2*(4*i - 1)
Let h(d) be the first derivative of d**2/2 - 7*d - 5. Let a be h(10). Find q such that 6*q**a + 0 + 24/5*q**2 - 8/5*q + 8/5*q**4 = 0.
-2, 0, 1/4
Let s(b) = b**3 + 9*b**2 - 11*b. Let v be s(-10). Let n = v + -10. Determine m so that 0 + 1/5*m**3 + n*m**2 - 1/5*m = 0.
-1, 0, 1
Let a(m) be the first derivative of m**8/112 + m**7/35 - m**5/10 - m**4/8 - 7*m**2/2 + 2. Let c(j) be the second derivative of a(j). Factor c(w).
3*w*(w - 1)*(w + 1)**3
Let y(j) be the first derivative of -j**6/180 - j**5/120 + j**4/24 + 5*j**3/36 + j**2/6 - 3*j + 3. Let a(q) be the first derivative of y(q). Solve a(l) = 0.
-1, 2
Factor 9/2*l**2 - 3/2*l**3 - 9/2*l + 3/2.
-3*(l - 1)**3/2
Let o(h) be the third derivative of -h**10/151200 - h**4/8 + h**2. Let m(f) be the second derivative of o(f). Factor m(v).
-v**5/5
Let f(n) be the first derivative of 4*n**5/5 - 9*n**4 + 28*n**3/3 + 18*n**2 - 32*n + 41. Factor f(h).
4*(h - 8)*(h - 1)**2*(h + 1)
Let u(r) be the third derivative of 0 - 1/50*r**5 + 0*r**3 + 0*r + 0*r**4 - 3*r**2 + 1/200*r**6. Factor u(m).
3*m**2*(m - 2)/5
Solve -9/5*j - 3*j**2 + 6/5 = 0.
-1, 2/5
Let t(y) be the second derivative of -y**7/105 - y**6/25 + y**5/50 + y**4/10 + 7*y - 1. Let t(m) = 0. Calculate m.
-3, -1, 0, 1
Let z be 2/(-8)*(-72)/108. Find j, given that -2/3*j + z + 1/3*j**2 - 1/2*j**4 + 2/3*j**3 = 0.
-1, 1/3, 1
Suppose 9 = -4*c + 25. Suppose 0*h - 2/9*h**3 + 2/9*h**c + 0 + 0*h**2 = 0. Calculate h.
0, 1
Let d(x) be the second derivative of -3*x - 2/15*x**6 + 0*x**4 + 2*x**2 - 1/2*x**5 + 5/3*x**3 + 0. Find v such that d(v) = 0.
-2, -1, -1/2, 1
Let p be ((-48)/(-40))/(6/(-20)). Let x be (-10)/p + (-1)/2. Find v, given that 2/5*v**3 + 0 + 2/5*v**x + 0*v = 0.
-1, 0
Determine w so that 4/5*w**3 + 0 + 2/5*w + w**2 + 1/5*w**4 = 0.
-2, -1, 0
Let i(r) = r**3 - 6*r**2 - r + 8. Let x be i(6). Factor -3/2*l**3 + 9/2*l**x + 3/2 - 9/2*l.
-3*(l - 1)**3/2
Let f be -2 + 5 + 1 + -2. Let h = -670/21 - -228/7. What is n in -2/3 + 2/3*n + 2/3*n**f - h*n**3 = 0?
-1, 1
What is a in 37 - 79 + 42 + 2*a**3 - 30*a**2 = 0?
0, 15
Factor 2*t - 256*t**2 + 260*t**2 + 2*t.
4*t*(t + 1)
Suppose 0 = -0*f + 2*f + 2*l, -2*l = -2*f. Factor 0 - 2/7*b**2 + f*b + 0*b**3 + 2/7*b**4.
2*b**2*(b - 1)*(b + 1)/7
Let k = 876 - 7870/9. Factor -k*r**3 - 2/3*r**4 + 0 - 2/9*r - 10/9*r**2.
-2*r*(r + 1)**2*(3*r + 1)/9
Suppose -2*d + 5 = 3. Suppose 17 = 4*g + d. Let 3*r**g - 2*r**3 + 1 + 2*r**4 + 2*r - 6*r**4 = 0. What is r?
-1, 1
Suppose -5*f + 4 = -7*f. Let l = f + 2. Factor l - 3*o**2 + 10/3*o**3 + 2/3*o.
o*(2*o - 1)*(5*o - 2)/3
Let n(y) be the second derivative of y**5/50 + 3*y**4/10 + 9*y**3/5 + 27*y**2/5 - 14*y + 4. Factor n(r).
2*(r + 3)**3/5
Let q be (8/(-360))/(6/(-10)). Let p(h) be the third derivative of -1/54*h**4 - q*h**3 + 0 - 1/270*h**5 + 3*h**2 + 0*h. Find x such that p(x) = 0.
-1
Let v(u) = 2*u**2 + 4*u + 2. Let d be v(-1). Let b(t) be the third derivative of 0 + d*t + 1/12*t**4 - 3/20*t**5 + 0*t**3 - 2*t**2. Factor b(k).
-k*(9*k - 2)
Let g(c) be the first derivative of -3*c**4/20 - 7*c**3/5 - 9*c**2/2 - 27*c/5 - 39. Factor g(z).
-3*(z + 1)*(z + 3)**2/5
Let v = -8 - -10. Let i = -23 + 32. Suppose 2*h - h**v + i - 9 = 0. What is h?
0, 2
Let p(n) be the second derivative of -n**6/120 + n**5/40 - n**4/48 + 5*n. Determine u, given that p(u) = 0.
0, 1
Let c(h) be the second derivative of 0*h**2 - 1/3*h**4 + 8*h + 0*h**3 + 0 + 2/15*h**6 - 2/21*h**7 + 1/5*h**5. Factor c(z).
-4*z**2*(z - 1)**2*(z + 1)
Let d(x) be the first derivative of -5*x**3/3 - 25*x**2/2 - 30*x - 18. Factor d(j).
-5*(j + 2)*(j + 3)
Let b(c) be the third derivative of c**2 - 1/200*c**6 + 0*c**3 + 0 + 0*c + 1/60*c**4 - 1/300*c**5. Solve b(f) = 0.
-1, 0, 2/3
Let j = 489 - 489. Factor -1/2*b**4 + 0*b**2 + 0*b + 1/2*b**3 + j.
-b**3*(b - 1)/2
Suppose -d + 3*d = 10, -3*d = 5*h - 15. Let n(u) be the second derivative of h - 4*u - 1/4*u**4 + 0*u**2 + 1/2*u**3. Factor n(w).
-3*w*(w - 1)
Let o(q) be the second derivative of -q**6/10 + 9*q**5/20 - q**4/2 + 2*q. Suppose o(n) = 0. Calculate n.
0, 1, 2
Factor -1/2*r**2 + 1/2*r**4 - 1/2*r + 0 + 1/2*r**3.
r*(r - 1)*(r + 1)**2/2
Let l(j) = 3*j**3 + 3*j**2 - 2*j. Let a(z) = -13*z**3 - 13*z**2 + 9*z. Let m(h) = 2*a(h) + 9*l(h). Determine c, given that m(c) = 0.
-1, 0
Let 0*u + 0 - 3/2*u**2 + 3/4*u**5 + 15/4*u**3 - 3*u**4 = 0. What is u?
0, 1, 2
Let p be 3/5 - 91/195. Let f(r) be the first derivative of 0*r + 0*r**2 - 2 + 1/25*r**5 + 1/20*r**4 - p*r**3. What is d in f(d) = 0?
-2, 0, 1
Let p(f) = f**2 + 12*f - 10. Let c be p(-13). Factor -3/2*h + 0 - 1/2*h**2 + 3/2*h**c + 1/2*h**4.
h*(h - 1)*(h + 1)*(h + 3)/2
Determine v, given that -5*v + 6*v + v**3 - 2*v = 0.
-1, 0, 1
Factor 4*f**3 + 7*f**2 - 7*f**2 + 4*f**2.
4*f**2*(f + 1)
Let o(a) = 7*a**3 - a**2. Let y be o(-2). Let k be y/(-25)*3/12. Suppose 0 + 0*i - 3/5*i**4 + 0*i**3 + 0*i**2 + k*i**5 = 0. What is i?
0, 1
Let o(l) = -2*l**2 - 9*l - 7. Let g(b) = -b**2 - 4*b - 3. Let t(m) = 9*g(m) - 4*o(m). Let t(r) = 0. What is r?
-1, 1
Let o(i) = i**3 + 13*i**2 + 13*i + 14. Let b be o(-12). Factor -2/3*f**b + 1/3*f**5 + 0 - 1/3*f + 0*f**3 + 2/3*f**4.
f*(f - 1)*(f + 1)**3/3
Suppose f + f - 7 = t, 0 = 4*f + 3*t + 1. Let z be -1 - (-2 - (-2)/6). Determine b so that 0*b - z*b**3 - 1/3*b**f + 0 - 1/3*b**4 = 0.
-1, 0
Let k(w) be the first derivative of 3*w**5/20 + 9*w**4/8 + 13*w**3/4 + 9*w**2/2 + 3*w + 22. Factor k(x).
3*(x + 1)**2*(x + 2)**2/4
Let l be 2/8 - (3/(-4) + -1). Let v(d) be the third derivative of 1/3*d**3 + 3*d**l + 2/15*d**5 + 0 + 0*d + 5/12*d**4. Factor v(i).
2*(i + 1)*(4*i + 1)
Let d(c) be the first derivative of 0*c + 4/3*c**3 - 1