he third derivative of -1/6*q**3 + 0*q - 1/60*q**f - 2*q**2 + 1/12*q**4 + 0. Suppose v(u) = 0. Calculate u.
1
Suppose 0 = 2*i - 6*i + 2*a + 12, 4*a = 5*i - 18. Factor -v**3 + 5*v**5 - 4*v**3 + 2*v**4 - 4*v**2 + 2*v**i.
v**2*(v - 1)*(v + 1)*(5*v + 2)
Let w(j) be the second derivative of -1/20*j**5 + 7*j + 0 + 1/6*j**3 - 1/6*j**4 + j**2. Solve w(q) = 0.
-2, -1, 1
Let d(l) = l**3 - 5*l**2 + 4*l - 5. Let h(m) = m**3 - 4*m**2 + 3*m - 4. Let x(p) = -4*d(p) + 5*h(p). Determine w so that x(w) = 0.
-1, 0, 1
Let g(f) = -2*f - 5. Let k be g(-5). Suppose 0 = -2*m + 3 + k. Suppose 8 + 5*a**5 - 8 - 2*a**m = 0. What is a?
0, 2/5
Suppose 0 = 5*r + 2*r - 14. Let f(a) be the first derivative of 0*a**r + 2 + 0*a**3 + 0*a + 1/12*a**4 - 1/5*a**5 - 2/9*a**6. Suppose f(y) = 0. What is y?
-1, 0, 1/4
Suppose -7 = -2*d - 4*v + 3*v, 5 = 5*v. Solve -2*k**4 - 6*k**3 + 4*k**2 - d*k**2 - 3*k**2 - 2*k**2 = 0.
-2, -1, 0
Let z be 18/(-12)*8/(-3). Factor -4*i**4 + i**z + 16*i**2 + i**4 - 32.
-2*(i - 2)**2*(i + 2)**2
Let d(s) be the third derivative of s**7/2940 - s**5/420 - 7*s**3/6 - 4*s**2. Let c(z) be the first derivative of d(z). Let c(u) = 0. Calculate u.
-1, 0, 1
Suppose -3*m - 3*k - 7 = k, -17 = m + 5*k. Suppose h - m*h = 0. Suppose -8*i**2 + 2 + 4*i - 4*i**3 + 6*i**4 + h*i + 0*i = 0. Calculate i.
-1, -1/3, 1
Let j(q) = -q + 8. Let h be j(6). Factor h*n**2 + 14*n**3 - 9*n**3 + 11*n**3 + 32*n**4.
2*n**2*(4*n + 1)**2
Let n(y) be the first derivative of 0*y - 2/9*y**3 + 1/3*y**2 - 4. Factor n(t).
-2*t*(t - 1)/3
Let d = 15 - 12. Factor -5*g**2 - 18*g**d - 11*g**4 + 0*g**2 + g**2 - 3*g**4.
-2*g**2*(g + 1)*(7*g + 2)
Factor 4*r**3 + 15*r**2 - 3*r**3 + 3*r + 8*r**3 - 3.
3*(r + 1)**2*(3*r - 1)
Let j(w) be the third derivative of -w**6/540 + w**5/270 + w**4/54 - 9*w**2. Find g, given that j(g) = 0.
-1, 0, 2
Factor -3/2*w**4 + 36*w - 33*w**2 - 27/2 + 12*w**3.
-3*(w - 3)**2*(w - 1)**2/2
Let t(i) = -i. Let x(h) = -h + 13. Let k(c) = -2*t(c) + x(c). Let n be k(-11). Factor -3*q + 5 - 3 - 2 + 3*q**n.
3*q*(q - 1)
Let h(q) be the second derivative of -15*q**5/4 - 55*q**4/4 + 28*q**3 - 18*q**2 + 5*q. Factor h(p).
-3*(p + 3)*(5*p - 2)**2
Suppose 5*w = 13 + 7. Suppose -q = w*q - 15. Solve 0*h**2 - 2/5*h**q + 2/5*h + 0 = 0 for h.
-1, 0, 1
Let f be (-4)/26 + 305/(-130) + 3. Suppose -2*i + f - 5/2*i**2 = 0. What is i?
-1, 1/5
Let w(p) be the first derivative of 11*p**6/480 - p**5/80 + p**3/3 + 6. Let l(h) be the third derivative of w(h). What is j in l(j) = 0?
0, 2/11
Let c(u) be the second derivative of u**5/15 - 2*u**4/3 + 64*u**2/3 + 28*u. Let c(y) = 0. Calculate y.
-2, 4
Let h(j) = -2*j - 4. Let w be h(-4). Factor 0*q + 2*q + 5*q**2 + w*q**3 - q**2 - 2*q**3.
2*q*(q + 1)**2
Factor 16/11*d + 2/11*d**2 - 2/11*d**3 - 24/11.
-2*(d - 2)**2*(d + 3)/11
Let j = 6 + -3. Suppose 9 = 5*w - 6. Determine u so that w*u**2 - u**2 - 2*u**3 - 3*u**2 + 3*u**j = 0.
0, 1
What is b in 51/2*b + 3/2*b**3 + 12 + 15*b**2 = 0?
-8, -1
What is g in 1/3*g**4 - 4/3*g + 1/3 - 4/3*g**3 + 2*g**2 = 0?
1
Let o(c) be the first derivative of 1/20*c**5 + 1/4*c**3 - c + 1/2*c**2 + 2 - 1/4*c**4. Factor o(h).
(h - 2)**2*(h - 1)*(h + 1)/4
Suppose -5*j + 8*j = 0. Let x(c) be the second derivative of j*c**2 + 0 + 2/9*c**4 - 2*c + 1/9*c**3. Factor x(k).
2*k*(4*k + 1)/3
Suppose -4*z + 2 = -3*z. Let c(o) be the first derivative of 0*o**z + 1 + 0*o + 9/5*o**5 + o**3 + 9/4*o**4 + 1/2*o**6. Factor c(p).
3*p**2*(p + 1)**3
Let w = -232 + 1634/7. Let v = 59 + -55. Factor 0 + 4/7*c - w*c**2 + 8/7*c**3 - 2/7*c**v.
-2*c*(c - 2)*(c - 1)**2/7
Let u = 697/585 - -1/117. Let k(r) be the first derivative of 3/4*r**4 + 0*r + 3*r**2 - 5*r**3 + u*r**5 + 1. Factor k(o).
3*o*(o - 1)*(o + 2)*(2*o - 1)
Let y(x) be the first derivative of x**8/840 + x**7/210 - x**5/30 - x**4/12 - x**3/3 + 4. Let i(v) be the third derivative of y(v). Factor i(c).
2*(c - 1)*(c + 1)**3
Let f be ((-16)/(-4))/(-2) + 2. Let n be 6*(4/84 - f). Let -2/7*a**5 + 10/7*a**4 - 10/7*a - 20/7*a**3 + 20/7*a**2 + n = 0. What is a?
1
Let w(t) be the third derivative of -t**6/30 + 2*t**5/15 + t**4/6 - 4*t**3/3 - 8*t**2. Find g, given that w(g) = 0.
-1, 1, 2
Let b(s) be the third derivative of s**8/588 - 3*s**7/245 + s**6/35 - 2*s**5/105 - 15*s**2. Find y, given that b(y) = 0.
0, 1/2, 2
Let f(o) = 4 - o**2 + 3*o**2 + 0. Let l(n) = 4*n**2 + n + 9. Let p(g) = g**2 - 19*g + 25. Let d be p(17). Let v(u) = d*f(u) + 4*l(u). Factor v(x).
-2*x*(x - 2)
Let x(z) be the first derivative of z**9/6048 - z**7/840 + z**5/240 - 2*z**3/3 + 2. Let g(p) be the third derivative of x(p). Factor g(r).
r*(r - 1)**2*(r + 1)**2/2
Factor -6/5*y**4 + 21/5*y - 3/5*y**5 + 6/5*y**3 + 24/5*y**2 + 6/5.
-3*(y - 2)*(y + 1)**4/5
Solve -8/21*s + 2/21*s**3 + 8/21 - 2/21*s**2 = 0.
-2, 1, 2
Let r be (-352)/(-840) - (-2)/(-7). Let x = r + 16/15. Factor 3/5*p**2 + x*p + 0.
3*p*(p + 2)/5
Factor 0 - 1/5*o - 1/5*o**2.
-o*(o + 1)/5
Suppose -b - 1 = -5. Suppose -3*v**5 + 6*v**2 + 2*v**4 - b*v**4 - 3*v + 6*v**3 - v**4 - 3 = 0. What is v?
-1, 1
Let p = 8 - 6. Suppose 1 = p*l - 7. Determine h, given that l*h + 3*h**3 - h**3 - 2*h - 3*h - h**2 = 0.
-1/2, 0, 1
Let s(f) be the first derivative of 3 - 1/2*f**4 - 1/3*f**2 + 0*f + 2/3*f**3 + 2/15*f**5. Factor s(d).
2*d*(d - 1)**3/3
Solve -4/7*t + 4/7*t**3 - 2/7*t**4 + 2/7*t**2 + 0 = 0.
-1, 0, 1, 2
Let c(m) = 25*m - 10. Let u(q) = 8*q - 3. Let p(y) = -3*c(y) + 10*u(y). Let a be p(1). Factor -3 + w**2 - 2*w + a - 1.
(w - 1)**2
Factor 83521/3 - 19652/3*p - 68/3*p**3 + 578*p**2 + 1/3*p**4.
(p - 17)**4/3
Let d(s) be the first derivative of 4/3*s - 2 - 5/6*s**4 - 3*s**2 + 8/3*s**3. Factor d(g).
-2*(g - 1)**2*(5*g - 2)/3
Let m(i) = i**2 - 1. Let l(y) = -3*y**2 + 108*y + 978. Let v(n) = l(n) + 6*m(n). Factor v(z).
3*(z + 18)**2
Let m(l) = -10*l**2 - 15*l + 1. Let q(b) = -9*b**2 - 14*b + 2. Let j(z) = -2*m(z) + 3*q(z). Find u, given that j(u) = 0.
-2, 2/7
Let w(z) be the first derivative of -4*z**5/5 + 4*z**4 - 20*z**3/3 + 4*z**2 - 9. Find t, given that w(t) = 0.
0, 1, 2
Suppose 5*l**2 - l**2 + 2*l - 4*l**2 + 7*l**3 + 9*l**2 = 0. Calculate l.
-1, -2/7, 0
Factor 0*t**3 + 1/6*t**4 - t**2 - 4/3*t - 1/2.
(t - 3)*(t + 1)**3/6
Let z(s) be the second derivative of -2*s**4/21 - 5*s**3/21 - s**2/7 + 6*s. Factor z(u).
-2*(u + 1)*(4*u + 1)/7
Let b = -782/7 + 112. Factor -2/7*y**5 + 0 - 2/7*y**4 + 0*y + b*y**2 + 2/7*y**3.
-2*y**2*(y - 1)*(y + 1)**2/7
Let r = -183 + 919/5. Solve -32/5*v**4 + 14/5*v**5 + 0*v + 0 - r*v**2 + 22/5*v**3 = 0.
0, 2/7, 1
Let l(q) be the first derivative of 0*q - 6*q**2 + 4/3*q**3 - 5. Factor l(s).
4*s*(s - 3)
Let w(p) = -9*p**2 + 4*p + 5. Let m(y) = -10*y**2 + 5*y + 5. Let b(g) = 4*m(g) - 5*w(g). Determine f so that b(f) = 0.
-1, 1
Let j be (-1)/(-2) + 6/(-4). Let c = 1 - j. Factor 10*n - 2*n**4 + 2*n**c - 10*n.
-2*n**2*(n - 1)*(n + 1)
Let k be -1 + 2/2 + 0. Suppose k = -r + 7 - 3. Factor 0*y + 0 - 1/2*y**r + y**2 + 1/2*y**3.
-y**2*(y - 2)*(y + 1)/2
Let r(f) be the first derivative of -f**8/168 - f**7/105 - 3*f**2/2 + 3. Let x(i) be the second derivative of r(i). Find j, given that x(j) = 0.
-1, 0
Let b(z) be the first derivative of z**3/15 - z**2/5 - 3*z/5 + 9. Factor b(k).
(k - 3)*(k + 1)/5
Let u(g) be the third derivative of -g**7/1575 + g**5/150 + g**4/90 + g**2. Find h such that u(h) = 0.
-1, 0, 2
Let i(j) be the second derivative of 0 + 1/7*j**2 - 2/21*j**3 + 6*j + 1/42*j**4. Factor i(y).
2*(y - 1)**2/7
Suppose 2*y + 3*m - 5 = 0, 3*m = -0*y + 5*y - 2. Let f = 3 - y. Factor -4/5*h**f + 2/5*h**4 + 2/5 + 0*h + 0*h**3.
2*(h - 1)**2*(h + 1)**2/5
Let h(j) be the first derivative of -j**5/60 - j**4/12 - j**3/6 - j**2/6 - 2*j - 2. Let k(s) be the first derivative of h(s). Suppose k(q) = 0. Calculate q.
-1
Let v(k) be the first derivative of k**5/30 + k**4/6 + k**3/3 + k**2/3 + k/6 - 6. Determine i, given that v(i) = 0.
-1
Let a(c) be the second derivative of -c**9/5040 + c**8/1344 - c**7/2520 - c**6/720 + c**4/3 - 4*c. Let b(n) be the third derivative of a(n). Factor b(u).
-u*(u - 1)**2*(3*u + 1)
Suppose -40 = -8*f + 3*f. Let g be f/(-3)*(-2)/8. Find t such that 1/3*t**2 - g*t**3 + 2/3*t**5 + 0 - 1/3*t**4 + 0*t = 0.
-1, 0, 1/2, 1
Let d(z) be the first derivative of -2 + 0*z + 0*z**2 - 1/4*z**4 + 1/3*z**3. Factor d(n).
-n**2*(n - 1)
Suppose 3*z + 4*j + 8 = 0, -2*z + j + 2 = 3*z. Find w such th