ivative of -m**5/12 - 5*m**4/24 + 4*m**2. Factor c(s).
-5*s*(s + 1)
Let y(d) be the third derivative of 3*d**5/10 - 13*d**4/8 + 7*d**3/2 + 14*d**2. What is r in y(r) = 0?
1, 7/6
Factor -71*o**4 + 24 + 22*o + 67*o**4 - 12*o**3 - 65*o + 60*o**2 - 25*o.
-4*(o - 1)**3*(o + 6)
Let h be (56/(-12))/((-2)/(-3)). Let b be (-9)/h + -3 + 2. Suppose b - 4/7*v + 2/7*v**2 = 0. Calculate v.
1
Let a(u) be the third derivative of -u**6/660 - u**5/330 + 5*u**2. Suppose a(v) = 0. Calculate v.
-1, 0
Solve -2*s**2 + 0*s - 25/4*s**5 - 11*s**3 + 0 - 35/2*s**4 = 0 for s.
-2, -2/5, 0
Let j(z) be the first derivative of -z**6/45 - 2*z**5/75 - 8. Factor j(d).
-2*d**4*(d + 1)/15
Let m(r) be the third derivative of 0 + 3/130*r**5 - 9/52*r**4 + 9/13*r**3 - 1/780*r**6 - 3*r**2 + 0*r. Factor m(j).
-2*(j - 3)**3/13
Suppose 3/4*a**4 + 0*a**2 + 1/2*a**3 + 1/4*a**5 + 0*a + 0 = 0. What is a?
-2, -1, 0
Let h(a) be the first derivative of a**3/18 + a**2/2 + 5*a/6 - 50. Suppose h(x) = 0. Calculate x.
-5, -1
Let z(f) = -3*f**5 + 3*f**3 + 6*f**2 - 6*f - 6. Let c(w) = 3*w**5 - 3*w**3 - 5*w**2 + 5*w + 5. Let i(k) = -6*c(k) - 5*z(k). Factor i(y).
-3*y**3*(y - 1)*(y + 1)
Suppose 2*n = 4*c + 16, 2*c + 27 = 5*n + 5*c. Let w(v) be the first derivative of -1/5*v**5 + 0*v**3 + 0*v**2 - 1/8*v**4 + 0*v - 2 - 1/12*v**n. Factor w(f).
-f**3*(f + 1)**2/2
Let p = -2563 + 13301/5. Solve 36*c**3 + 162*c + 2/5*c**5 + 6*c**4 + 108*c**2 + p = 0.
-3
Let v = -12 - -14. Let t(g) be the first derivative of 0*g**v + 0*g - 1/10*g**5 + 0*g**3 - 1/4*g**4 + 2. Suppose t(d) = 0. What is d?
-2, 0
Let g(h) be the second derivative of 5*h**7/42 + h**6/10 - h**5/10 + 12*h. Factor g(q).
q**3*(q + 1)*(5*q - 2)
Let z = -40 + 43. Let t(v) be the first derivative of -1/4*v + 1/4*v**2 - 3 - 1/12*v**z. Suppose t(w) = 0. What is w?
1
Suppose 0 = -6*l + l + 15. What is o in 42 + l*o**2 - 42 + 3*o**3 = 0?
-1, 0
Let r be (-9)/5*(-10)/3. Let q be (-1)/(-10)*15/r. Suppose 0 + u - u**2 + q*u**3 = 0. Calculate u.
0, 2
Let d = 3 + -3. Suppose d = -4*l + a + 12, -3*l + 3 = -a - 5. Find r such that l - 2*r - 4*r**2 - 4*r**2 + 4*r**2 + 2*r**3 + 0*r**3 = 0.
-1, 1, 2
Let j be (8 - 53)/9 + 5. Factor 2/9*s**5 + 26/9*s**3 + j - 4/3*s**4 - 8/3*s**2 + 8/9*s.
2*s*(s - 2)**2*(s - 1)**2/9
Let q = 16 + -16. Determine i, given that q*i - i**3 + i + i - i = 0.
-1, 0, 1
Let t(v) be the first derivative of -2*v**3/21 - v**2/7 + 4*v/7 - 2. Factor t(p).
-2*(p - 1)*(p + 2)/7
Let h = 8 + -5. Let b(u) be the first derivative of h + 1/12*u**3 + 0*u + 1/8*u**2. Let b(x) = 0. Calculate x.
-1, 0
Let u(i) be the third derivative of -i**6/240 - i**5/30 + 3*i**2. Factor u(s).
-s**2*(s + 4)/2
Let k(c) be the second derivative of c**4/90 - c**3/45 - 2*c**2/15 + 9*c. Determine a so that k(a) = 0.
-1, 2
Let p be 20/48 + 0 - (-4)/16. Determine q, given that -4/3*q**2 + 0*q + p*q**3 + 0 + 2*q**4 = 0.
-1, 0, 2/3
Determine o so that 0 + 2/9*o**3 + 4/3*o + 10/9*o**2 = 0.
-3, -2, 0
Suppose v - 4 - 4 = 0. Solve 5*t**4 - v*t**4 - t**5 + 2*t**4 = 0 for t.
-1, 0
Let w(x) be the third derivative of x**7/105 + x**6/20 - 47*x**2. Factor w(v).
2*v**3*(v + 3)
Let h(m) = 3*m**2 - 8*m + 4. Let z be h(2). Factor 0*r**4 + 1/2*r**5 + z + 0*r - 1/2*r**3 + 0*r**2.
r**3*(r - 1)*(r + 1)/2
Let x(y) = -y**3 - 10*y**2 - 21*y + 3. Let v be x(-7). Let m(u) be the third derivative of -1/30*u**5 + 2/3*u**3 - 1/12*u**4 + 0*u + 0 + v*u**2. Factor m(c).
-2*(c - 1)*(c + 2)
Let k(l) be the first derivative of -l**6/360 + l**5/40 - l**4/12 - l**3/3 - 1. Let u(s) be the third derivative of k(s). Factor u(c).
-(c - 2)*(c - 1)
Let k(j) be the first derivative of -1/2*j**2 + 0*j + 1/4*j**4 + 0*j**3 + 2. Factor k(d).
d*(d - 1)*(d + 1)
Let a be (-3)/4*(-48)/45. Let b be (24/(-15))/(-4) - (-1 + 1). Factor -b + a*o**2 - 2/5*o.
2*(o - 1)*(2*o + 1)/5
Let n = 753055/399 + -22645/12. Let f = n + 1/76. Factor -2/7*v**3 + f*v**2 + 0*v + 0.
-2*v**2*(v - 1)/7
Let x(o) = o**4 + 1. Let j(p) = p**4 + 8*p**3 + 12*p**2 - 16*p - 11. Let r(d) = -j(d) + 5*x(d). Factor r(h).
4*(h - 2)**2*(h + 1)**2
Let i be ((-5)/(-2))/1 + 11/(-22). Determine j so that -1/3*j**i - j - 2/3 = 0.
-2, -1
Let -3*m + 48*m**2 + 17*m**3 - 13*m + 2 - 2*m - 49*m**3 = 0. What is m?
1/4, 1
Suppose -2*r + 4*r**3 - 8*r**2 + 6*r + 0*r = 0. Calculate r.
0, 1
Let b(n) be the third derivative of -1/20*n**5 - 3/8*n**4 + 0 + 0*n + 3*n**2 - n**3. What is m in b(m) = 0?
-2, -1
Let f(i) be the second derivative of -i**6/10 - 3*i**5/10 + 3*i**4/4 + 9*i. What is v in f(v) = 0?
-3, 0, 1
Determine a, given that 2*a**3 - 2*a + 71*a**2 + 0*a**3 - 77*a**2 + 6 = 0.
-1, 1, 3
Let b = 183 - 179. Factor 0 + 4/3*z**3 + 14/3*z**b + 0*z**2 + 0*z.
2*z**3*(7*z + 2)/3
Suppose -5*l + 4*h + 30 = 0, -4*h + 9 = 2*l - 5*h. Factor 9*t**3 + l*t**3 + t + t**3 - 10*t**4 - 6*t**2 + 3*t**5.
t*(t - 1)**3*(3*t - 1)
Let w(s) be the second derivative of -2*s**6/15 - 3*s. Factor w(g).
-4*g**4
Let k = -8856 + 371969/42. Let q = k + 2/21. Let -q*u**2 - 1/2 + u = 0. Calculate u.
1
Suppose 0 = -4*u + u + 3. Factor -j**3 - j + 6*j**2 + 2*j**3 - 2 + u - 5*j**2.
(j - 1)*(j + 1)**2
Let p(h) = -h + 2. Suppose 3*v = 4*z - 10, 3*v - 5*z + 14 = 3. Let i be p(v). Factor 2*r**5 - 3/2*r**3 - 5/4*r**2 + r**i - 1/4*r + 0.
r*(r - 1)*(2*r + 1)**3/4
Let a(n) be the second derivative of -n**6/15 - n**5/10 + n**4/6 + n**3/3 + 4*n. Factor a(u).
-2*u*(u - 1)*(u + 1)**2
Suppose 0 = 7*z - 5*z - 4. Factor -66/7*n**z + 20/7*n + 80/7*n**3 - 32/7*n**4 - 2/7.
-2*(n - 1)**2*(4*n - 1)**2/7
Let v(m) = -2*m + 5. Let r be v(1). Let n(w) be the first derivative of 3/4*w**4 + 6/5*w**5 + 0*w**2 - 1 + 1/2*w**6 + 0*w + 0*w**r. What is t in n(t) = 0?
-1, 0
Let p be (-999)/(-185) + 5/(-1). Let p*h**4 - 6/5*h**3 + 0 + 0*h + 4/5*h**2 = 0. What is h?
0, 1, 2
Let j(h) be the first derivative of -3*h**4/4 - 7*h**3 - 24*h**2 - 36*h + 20. Factor j(v).
-3*(v + 2)**2*(v + 3)
Suppose -4 = 3*h - 2*h. Let j = 6 + h. Suppose 7*z**2 + z**5 - 4*z**5 + z**5 + 2*z + 4*z**4 - 11*z**j = 0. What is z?
-1, 0, 1
Let t be (-2 - -3 - 8/20)/3. Let 0 - t*u - 2/5*u**2 - 1/5*u**3 = 0. Calculate u.
-1, 0
Let d(t) be the third derivative of -1/270*t**5 - 1/36*t**4 - t**2 + 0 + 0*t - 2/27*t**3. What is h in d(h) = 0?
-2, -1
Let c(z) = -z**2 - 3*z + 6. Let f be c(-4). Determine k, given that f*k - 4*k**2 + 0 + 4*k**4 - 9/2*k**3 + 5/2*k**5 = 0.
-2, -1, 0, 2/5, 1
Suppose -12 = 139*v - 145*v. Factor 4/5*s**v + 0*s + 0*s**3 - 2/5 - 2/5*s**4.
-2*(s - 1)**2*(s + 1)**2/5
Factor -32 + 4*o**4 + 0*o**3 + 4*o**3 - 8*o**4 + 15*o + 24*o**2 - 31*o.
-4*(o - 2)**2*(o + 1)*(o + 2)
Let k be (-2)/1*(-2)/10. Let i(b) be the second derivative of k*b**2 + 1/15*b**3 - 1/30*b**4 - b + 0. Find p, given that i(p) = 0.
-1, 2
Let h(p) = p**2 + 9*p + 3. Suppose t = 3*q + 3, 4*t + 32 = -q + 2*q. Let k be h(t). Let 0 - 2*a**4 + 4*a**k + 0 - 2*a**2 = 0. What is a?
0, 1
Factor 1/4*i + 0 + 1/2*i**2 + 1/4*i**3.
i*(i + 1)**2/4
Let p(b) = -4*b**2 + 0*b**2 - 1 + 4*b + b. Let c(v) = v**3 + 6*v**2 + 5*v - 1. Let z be c(-5). Let r(f) = -f**2 + f. Let g(t) = z*p(t) + 5*r(t). Factor g(d).
-(d - 1)*(d + 1)
Factor 3/4*q - 9/4*q**2 - 3/4*q**4 + 9/4*q**3 + 0.
-3*q*(q - 1)**3/4
Let v(r) be the first derivative of -r**6/2 - 6*r**5/5 + 2*r**3 + 3*r**2/2 - 3. Factor v(o).
-3*o*(o - 1)*(o + 1)**3
Let u be (-4)/(-1) - (-2 - -1). Let i = 0 + u. Factor -4*z**3 + i*z**4 - 3*z**3 + 0*z**3 + 2*z**2.
z**2*(z - 1)*(5*z - 2)
Let p be 4 - (13 - 4)/(-3). Let z(o) be the second derivative of 1/21*o**4 - 1/147*o**p - 2/105*o**6 + 0 + 0*o**5 + 2*o + 0*o**2 + 1/21*o**3. Factor z(r).
-2*r*(r - 1)*(r + 1)**3/7
Let s(r) be the third derivative of -r**6/120 + 3*r**5/20 + 2*r**2. Let h be s(9). Solve h + 2/5*b**2 + 0*b = 0.
0
Suppose k + 3*m + 23 = -m, 3*m + 21 = -2*k. Let b = -1 - k. Factor 3*a**3 - 4*a**2 + 3*a**b - a**2 - a**5.
-a**2*(a - 1)**2*(a + 2)
Solve -1/5*l - 1/5*l**2 + 2/5 = 0 for l.
-2, 1
Let n(b) be the first derivative of -b**4/4 + 4*b**3/3 + 5*b**2/2 + 36. Factor n(f).
-f*(f - 5)*(f + 1)
Let g(s) be the third derivative of 1/735*s**7 + 0*s**4 + 0*s**3 + 0 + 1/210*s**5 - 3*s**2 + 0*s - 1/210*s**6. Factor g(m).
2*m**2*(m - 1)**2/7
Let o(x) be the third derivative of 1/12*x**3 - 3*x**2 + 0*x**5 + 0*x - 1/24*x**4 - 1/420*x**7 + 0 + 1/120*x**6. Factor o(j).
-(j - 1)**3*(j + 1)/2
Let a(u) be the second derivative of -10*u**7/63 + 