8 + f**2 - 3. Let g(l) be the second derivative of q(l). Determine c so that g(c) = 0.
-1, 1
Let f(a) be the second derivative of a**7/6300 - a**5/300 + a**4/12 + 2*a. Let k(h) be the third derivative of f(h). Determine d so that k(d) = 0.
-1, 1
Let v(o) be the second derivative of -6*o + 0 - 18*o**2 + 4*o**3 - 1/3*o**4. Factor v(u).
-4*(u - 3)**2
Factor 0*t**4 + 0*t**4 + 3*t**4 + 4*t**3 + 2*t**3 - 6*t - 3*t**2.
3*t*(t - 1)*(t + 1)*(t + 2)
Let f(o) be the third derivative of o**7/3360 - o**5/160 - o**4/48 - o**3/2 - 4*o**2. Let l(t) be the first derivative of f(t). Factor l(q).
(q - 2)*(q + 1)**2/4
Let o(u) be the third derivative of -1/5*u**5 + 0*u + 4*u**2 + 1/30*u**6 - 2/3*u**3 + 0 + 1/2*u**4. Factor o(l).
4*(l - 1)**3
Let a(d) be the second derivative of d**5/40 - d**4/9 + d**3/9 - 15*d. Determine p so that a(p) = 0.
0, 2/3, 2
Let r(d) be the second derivative of d**8/6720 - d**7/1260 + d**4/4 + d. Let n(a) be the third derivative of r(a). Factor n(l).
l**2*(l - 2)
Factor 10*m + 7/2*m**4 - m**3 - 2 - 21/2*m**2.
(m - 1)**2*(m + 2)*(7*m - 2)/2
Let u(f) be the second derivative of 1/30*f**6 + 1/6*f**5 + 0 + 1/3*f**3 + f + 3/2*f**2 + 1/3*f**4. Let w(i) be the first derivative of u(i). Factor w(l).
2*(l + 1)**2*(2*l + 1)
Factor -20*g**2 + 32*g**2 + g - 4*g - g.
4*g*(3*g - 1)
Find q, given that q**2 - 25*q**4 + 15*q**3 - 12*q**5 - 28*q**3 - 2*q + 3*q = 0.
-1, -1/3, 0, 1/4
Let x(p) be the second derivative of p**4/24 - p**3/4 - p**2 + 3*p. Factor x(h).
(h - 4)*(h + 1)/2
Factor 2/9*o + 0*o**4 + 0 + 2/9*o**5 - 4/9*o**3 + 0*o**2.
2*o*(o - 1)**2*(o + 1)**2/9
Suppose 15 = -11*x + 6*x. Let i be ((-2)/4)/(x/4). Solve 0 + 2/3*t**4 + i*t**5 - 2/3*t**2 + 0*t - 2/3*t**3 = 0 for t.
-1, 0, 1
Let d be (-3)/(-4) + 15/12. Let f = 1/70 + 27/70. Find h such that 2/5*h - 2/5 + f*h**d - 2/5*h**3 = 0.
-1, 1
Solve -9/8*i**3 - 3/8*i**4 + 0*i + 0 + 0*i**2 = 0.
-3, 0
Let b(a) be the third derivative of a**6/120 - a**5/40 + a**4/48 - 2*a**2. Factor b(t).
t*(t - 1)*(2*t - 1)/2
Suppose 2*y - 2 = 2. Suppose -3 = -4*s + s. Factor 4*g**3 + s + 3*g + g - g**4 + y*g**4 + 6*g**2.
(g + 1)**4
Let h be ((-144)/(-60))/((-6)/(-380)). Let y = h + -436/3. Factor -y*q + 4/3 + 25/3*q**2.
(5*q - 2)**2/3
Let v be (-1 - (-8)/2) + -1. Determine j so that 2*j**2 + 4*j + 0*j - 5*j + j**3 - v*j**3 = 0.
0, 1
Suppose 0 = -6*l + 26 - 2. Factor 2/9*w**l + 16/9*w**2 - 8/9*w + 0 - 10/9*w**3.
2*w*(w - 2)**2*(w - 1)/9
Let i be (-2 - (-30)/9)*3. Factor 1/2*j**i + 0*j**2 + 0*j**3 + 0*j + 0 - 1/2*j**5.
-j**4*(j - 1)/2
Let t(a) be the third derivative of 1/6*a**3 - 1/24*a**4 + 0*a + 0 + 3*a**2 + 1/240*a**5. Let t(x) = 0. Calculate x.
2
Let z(u) be the first derivative of 3/2*u**4 - 2*u**3 + u**2 + 2 - 2/5*u**5 + 0*u. Solve z(c) = 0.
0, 1
Let b(s) = -2*s**3 - 4*s**2 - s + 2. Let p be 6/(-4) - 2/4. Let x be b(p). Factor 4*q - 6*q**x - 22*q**3 - 2*q**3 - 8*q**4 - 6*q**2.
-2*q*(q + 1)**2*(7*q - 2)
Let q = 11 - 11. Let h(l) be the third derivative of 0*l - 1/60*l**5 + 0*l**3 + 2*l**2 + 0*l**4 + q. Factor h(g).
-g**2
Factor 2/5*i**2 + 10 - 4*i.
2*(i - 5)**2/5
Let 2/15*n**2 - 8/15*n + 2/5 = 0. What is n?
1, 3
Factor -2/3*m**2 + 4 - 2/3*m.
-2*(m - 2)*(m + 3)/3
Let f(u) be the first derivative of u**3/4 + 3*u**2/2 + 3*u + 32. Factor f(o).
3*(o + 2)**2/4
Let r(n) be the third derivative of 0 - n**2 - 1/120*n**5 + 0*n - 1/4*n**3 + 1/12*n**4. Suppose r(f) = 0. Calculate f.
1, 3
Let p(q) be the second derivative of q**5/120 - q**4/24 + 3*q**2/2 - 3*q. Let b(o) be the first derivative of p(o). Let b(r) = 0. Calculate r.
0, 2
Let m be 1/5*1 - (-3)/60. Solve -1/4*b**3 + 1/4 + m*b - 1/4*b**2 = 0.
-1, 1
Let c(v) be the second derivative of 1/15*v**3 + 2/15*v**4 + 0 + 3/25*v**5 - 4*v + 0*v**2 + 1/105*v**7 + 4/75*v**6. Solve c(b) = 0.
-1, 0
Let 9*h**2 - 21 - 3*h**3 - 3*h**4 + 3*h + 0*h**3 + 15 = 0. What is h?
-2, -1, 1
Let l(j) be the third derivative of 1/22*j**4 + 0*j + 0 + 5*j**2 - 1/330*j**5 - 3/11*j**3. Solve l(f) = 0.
3
Let w = -3 - -3. Suppose -3*p + 4 + 2 = w. Determine i so that -11 - 5*i**2 - 16*i + 7 - p*i**2 = 0.
-2, -2/7
Suppose -5*c = -c - 48. Let a be 8/c - (-2)/3. Find v, given that 2/3*v**2 - a - 2/3*v = 0.
-1, 2
Let t(f) be the first derivative of -8*f**6/3 + 44*f**5/5 - 9*f**4 + 4*f**3/3 + 2*f**2 - 3. Solve t(g) = 0 for g.
-1/4, 0, 1
Factor -83*g + 20*g**3 - 77*g - 36*g**2 - 4*g**4 - 10 + 2 + 188*g.
-4*(g - 2)*(g - 1)**3
Let q = -27 - -40. Factor -4*i**2 + 26*i**3 - 16*i**4 + 2*i**5 + 32*i - 73*i**2 + 22*i**3 + q*i**2.
2*i*(i - 2)**4
Let w(c) be the second derivative of -c**4/4 - c**3/2 + 3*c**2 - 5*c. Factor w(t).
-3*(t - 1)*(t + 2)
Let j(r) be the first derivative of -r**6/4 - 9*r**5/10 - 3*r**4/4 + r**3 + 9*r**2/4 + 3*r/2 + 25. Factor j(v).
-3*(v - 1)*(v + 1)**4/2
Let a be (3 - 1)/(-7 + 3 - -14). Factor 3/5*g**2 + 0 + a*g**4 - 3/5*g**3 - 1/5*g.
g*(g - 1)**3/5
Suppose 7*k - 12 = 5*k. Let r(w) be the third derivative of 1/100*w**5 - 1/30*w**3 + 0*w + 1/300*w**k + 0 + 2*w**2 + 0*w**4. Factor r(x).
(x + 1)**2*(2*x - 1)/5
Let y = 10 + -8. Factor 0*x**2 - y*x**2 + 4*x**3 - 2*x**4 + 5 - 5.
-2*x**2*(x - 1)**2
Let y(w) be the second derivative of 4*w**7/15 - 23*w**6/60 + 22*w**5/105 - w**4/21 + 2*w**2 + 2*w. Let x(v) be the first derivative of y(v). Factor x(a).
2*a*(4*a - 1)*(7*a - 2)**2/7
Let c(k) be the third derivative of k**5/240 + 5*k**4/96 - k**3/4 + 38*k**2. Factor c(f).
(f - 1)*(f + 6)/4
Let a(v) be the second derivative of -v**7/3780 - v**4/6 + 3*v. Let m(c) be the third derivative of a(c). Factor m(h).
-2*h**2/3
Let f = 13 + -11. Suppose 13*r**4 + 16*r**f - 2 + 0*r - 9*r**4 - 3*r - 15*r**3 = 0. What is r?
-1/4, 1, 2
Let c(y) be the first derivative of -2*y**5/5 - y**4 + 2*y**2 + 2*y - 9. What is n in c(n) = 0?
-1, 1
Suppose 2*v = 7*v - 3*l - 27, -3*l = 3*v + 3. Let o(p) = -2*p**2 - 1. Let z(j) = -j**2. Let y = -2 + 1. Let m(r) = v*z(r) + y*o(r). Find s, given that m(s) = 0.
-1, 1
Let b(p) = p**3 + 1. Let y(t) = 8*t**3 + 12*t**2 + 24*t + 22. Let i(a) = -6*b(a) + y(a). What is h in i(h) = 0?
-2
Let r be (-2)/(-3)*48/16. Let v(k) be the third derivative of -r*k**2 + 1/135*k**5 + 0*k - 1/540*k**6 - 1/108*k**4 + 0 + 0*k**3. Factor v(w).
-2*w*(w - 1)**2/9
Let o(u) be the third derivative of -u**6/24 - u**5/4 + 5*u**4/6 - 65*u**2. Factor o(p).
-5*p*(p - 1)*(p + 4)
Suppose -2*z = -3*c - 5*z, 0 = 5*c - 4*z - 18. Solve -12/7*y + 2/7 + 18/7*y**c - 8/7*y**3 = 0.
1/4, 1
Let i(a) be the third derivative of 0*a**4 - 1/240*a**5 + 0 + 1/480*a**6 + 1/840*a**7 - a**2 + 0*a**3 - 1/1344*a**8 + 0*a. Solve i(l) = 0.
-1, 0, 1
Let t = -27 + 31. Let l(k) be the third derivative of 0 + 1/60*k**5 - 2*k**2 + 1/24*k**t + 0*k - 1/3*k**3. Factor l(h).
(h - 1)*(h + 2)
Let x be (-52)/(-80) - (-4)/(-10). Find i, given that -1/4*i**3 + 1/4*i + 1/4 - x*i**2 = 0.
-1, 1
Let s = -32 - -32. Factor 1/3*g**3 + 0 + s*g - 1/3*g**2.
g**2*(g - 1)/3
Let a be -2 + 424/160 + 4/(-10). Factor 1/4 - 1/2*z + a*z**2.
(z - 1)**2/4
Let q be (4/3)/((-4)/12). Let p(s) = s + 6. Let m be p(q). Factor -2*u**3 - 3/4*u**4 + 1/4 - 3/2*u**m + 0*u.
-(u + 1)**3*(3*u - 1)/4
Let u(q) be the second derivative of -q**5/5 + 23*q**4/12 + q**3 - 5*q. Factor u(s).
-s*(s - 6)*(4*s + 1)
Let h(z) be the second derivative of z**7/1680 - z**6/144 + z**5/30 - z**4/12 + z**3/3 + z. Let o(w) be the second derivative of h(w). Factor o(u).
(u - 2)**2*(u - 1)/2
Let i(q) be the first derivative of -q**5/15 - q**4/4 - q**3/9 + q**2/2 + 2*q/3 + 3. Find v such that i(v) = 0.
-2, -1, 1
Let j(x) = -3*x**3 + x**2 + 2. Let c(q) = -19*q**3 + 7*q**2 + 13. Let o(f) = -6*c(f) + 39*j(f). Factor o(u).
-3*u**2*(u + 1)
Let o(j) be the third derivative of -j**8/168 - j**7/21 - j**6/6 - j**5/3 - 5*j**4/12 - j**3/3 + j**2. Find r, given that o(r) = 0.
-1
Let l(h) be the first derivative of h**7/2940 + h**6/1260 - 2*h**3 - 1. Let k(d) be the third derivative of l(d). Solve k(a) = 0.
-1, 0
Factor -6 + 6 + u**4 - 95*u**2 + 94*u**2.
u**2*(u - 1)*(u + 1)
Let y(i) be the second derivative of 1/60*i**5 + 0 - 3*i - 1/9*i**3 + 0*i**2 + 1/36*i**4. Factor y(g).
g*(g - 1)*(g + 2)/3
Suppose -3*z = -2*z. Let n be 1 + -1 - (-2 + z). Factor -2*p - 2*p**n - 2*p + 2*p.
-2*p*(p + 1)
Let v(c) be the first derivative of c**4/36 + c**3/18 + 6*c + 3. Let z(b) be the first derivative of v(b). Determine i so that z(i) = 0.
-1,