culate w.
-1, -1/2, 0
Let j(u) be the third derivative of 1/105*u**7 + 0*u**4 + 0*u + 1/30*u**6 + 3*u**2 + 0*u**3 + 0 + 0*u**5. Let j(b) = 0. What is b?
-2, 0
Find g, given that 2*g**3 + 4/5*g**4 - 4*g**2 - 8/5*g + 16/5 - 2/5*g**5 = 0.
-2, -1, 1, 2
Let n(x) be the third derivative of -x**6/240 - x**5/48 - x**4/32 - 15*x**2. Suppose n(c) = 0. What is c?
-3/2, -1, 0
Let k(a) = a**3 - 4*a**2 - 3*a + 6. Let y(m) = -2*m**3 + 11*m**2 + 9*m - 18. Let x(j) = 7*k(j) + 2*y(j). Suppose x(t) = 0. Calculate t.
-1, 1, 2
Let t = 539/30 - 103/6. Find d, given that -2/5*d**5 + 2/5*d**4 - 2/5*d**2 - t*d + 6/5*d**3 + 0 = 0.
-1, 0, 1, 2
Suppose -4*h = -5*b - 5, 0*b - 4*b - 4 = 0. Let g(s) be the first derivative of 0*s**2 + h*s + 1/2*s**4 - 2 - 2/3*s**3. Solve g(i) = 0 for i.
0, 1
Let x(o) be the second derivative of 5*o**4/12 - 5*o**3/3 - 21*o. Solve x(b) = 0.
0, 2
Let p = 21 + -6. Let z be (2/5)/(3/p). What is l in 1/5*l - 1/5*l**5 + 2/5*l**z + 0*l**3 - 2/5*l**4 + 0 = 0?
-1, 0, 1
Factor a**3 - 227 - 90*a**2 - 568 - 6*a**3 - 480*a + 155.
-5*(a + 2)*(a + 8)**2
Let b(k) be the first derivative of -7/3*k**6 + 24*k**2 - 82/3*k**3 - 8*k + 18/5*k**5 + 19/2*k**4 - 1. Determine j, given that b(j) = 0.
-2, 2/7, 1
Let b(q) be the third derivative of -2*q**7/105 + q**6/15 + q**5/15 - q**4/3 - 13*q**2. Suppose b(f) = 0. What is f?
-1, 0, 1, 2
Let k = 39/95 - 4/19. Let n(f) be the first derivative of -1/10*f**2 + 1/20*f**4 - k*f + 2 + 1/15*f**3. Suppose n(j) = 0. What is j?
-1, 1
Let d be 1*((0 - -1) + 3). Factor -q**5 - 2*q**3 + 4*q**d + 0*q**4 - q**4.
-q**3*(q - 2)*(q - 1)
Let s(i) be the first derivative of 2*i**5/15 + 11*i**4/18 + 10*i**3/9 + i**2 + 4*i/9 + 1. Factor s(n).
2*(n + 1)**3*(3*n + 2)/9
Let q(s) be the first derivative of s**4/15 + 4*s**3/15 - s + 1. Let f(k) be the first derivative of q(k). Factor f(y).
4*y*(y + 2)/5
Let 1/5*d**2 - 3/5*d - 4/5 = 0. Calculate d.
-1, 4
Let v be 3 + 20/(-24) - 2. Let c(w) be the third derivative of -v*w**3 + 0*w**5 + 0*w + 1/210*w**7 - 2*w**2 + 0 + 1/12*w**4 - 1/60*w**6. Factor c(f).
(f - 1)**3*(f + 1)
Factor -6*z**4 - 16*z**2 + z**2 - 21*z**3 + 3*z**5 + 3*z**2.
3*z**2*(z - 4)*(z + 1)**2
Let w(k) = -14*k**2 - 3*k - 23. Let m(h) = 5*h**2 + h + 8. Let r = 4 + 2. Let z(q) = r*w(q) + 17*m(q). Factor z(p).
(p - 2)*(p + 1)
Let b(q) be the first derivative of -32/3*q**3 + 0*q - 8 + 5*q**4 - 4/5*q**5 + 8*q**2. Factor b(i).
-4*i*(i - 2)**2*(i - 1)
Let w(n) be the third derivative of -1/33*n**3 + 1/165*n**5 + 0*n**4 + 0*n + 0 - 6*n**2 - 1/1155*n**7 + 0*n**6. Factor w(a).
-2*(a - 1)**2*(a + 1)**2/11
Let y(c) be the second derivative of c**4/3 + 4*c**3 + 10*c**2 + 3*c. Factor y(k).
4*(k + 1)*(k + 5)
Let p(z) be the second derivative of -2*z - 2/21*z**3 + 1/42*z**4 + 1/7*z**2 + 0. Factor p(r).
2*(r - 1)**2/7
Let g(u) be the first derivative of -u**3/15 - u**2/5 - 3. Suppose g(n) = 0. Calculate n.
-2, 0
Suppose g = 4*n - 9, 0 = -n - 5*g + g - 2. Let l(s) = s**3 - s**2 - 4*s + 4. Let w be l(n). Find h such that w + 3/5*h - 9/5*h**2 = 0.
0, 1/3
Let 0*r + 0*r**2 + 2/5*r**3 + 0 = 0. What is r?
0
Suppose 0 = -4*o - 5*n + 9 - 3, -4*o - 4*n + 8 = 0. Factor -2*j + 0*j**4 - 2*j**2 + 2*j**4 + o*j**2 - 4*j**2 + 2*j**3.
2*j*(j - 1)*(j + 1)**2
Find g, given that 4/7*g**4 + 2/7*g + 0 - 4/7*g**2 - 2/7*g**5 + 0*g**3 = 0.
-1, 0, 1
Suppose o = -2*i - 23, -3*i = 5*o + 23 + 29. Let k = i + 9. Factor 1/2*l**2 - 1/2*l + k.
l*(l - 1)/2
Suppose 0 = p + 3*p - 20. Suppose p*b + 2*l - 26 = 5*l, -4*l + 12 = 5*b. Suppose -18/5*j**3 + j**b + 12/5*j**2 + 0 + 8/5*j = 0. What is j?
-2/5, 0, 2
Let z be (-2)/5 - (-34)/10. Suppose c = -2*c + 6. Suppose -2 + 2*j**2 - 3*j**2 + 0*j**c - z*j = 0. Calculate j.
-2, -1
Let n(m) = -2*m**4 + 2*m**3. Let g(z) = -z**4 + z**3. Let r(u) = -2*g(u) + 2*n(u). Let r(j) = 0. What is j?
0, 1
Let h(f) = -f**2 - 10*f + 13. Let g be h(-11). Determine k so that -2*k**5 - g*k**2 + 2*k**2 + 4*k**3 + 2*k - 4*k = 0.
-1, 0, 1
Let n = -1166 - -1170. Let 2/5 + 8/5*u**5 - 16/5*u**n - 2*u + 14/5*u**2 + 2/5*u**3 = 0. What is u?
-1, 1/2, 1
Let f(r) be the first derivative of -1 - 9/20*r**4 + 2/5*r**3 + 9/10*r**2 - 6/5*r. Factor f(c).
-3*(c - 1)*(c + 1)*(3*c - 2)/5
Suppose 2*a = -9 + 17. Let w(d) be the first derivative of 0*d**2 + 0*d**a - 1/12*d**3 + 1/20*d**5 - 3 + 0*d. Factor w(v).
v**2*(v - 1)*(v + 1)/4
Let c(w) be the third derivative of w**8/336 - 2*w**7/105 + w**6/30 + w**5/30 - 5*w**4/24 + w**3/3 + 13*w**2. Factor c(y).
(y - 2)*(y - 1)**3*(y + 1)
Solve 10*n**2 - 16 - 5*n**5 - 13 - 25*n + 14 + 30*n**3 + 5*n**4 = 0 for n.
-1, 1, 3
Let d be (-3)/(-9) + (-16)/(-6). Suppose d*u - 3 - 3 = 0. What is l in -2*l**2 - 2*l**2 + 1 + 1 + u*l**2 = 0?
-1, 1
Let k(c) be the first derivative of c**5/10 + c**4/2 + 5*c**3/6 + c**2/2 + 10. What is q in k(q) = 0?
-2, -1, 0
Let z be (6/(-4))/((-12)/24). Determine a so that 272*a**z - 8 + 112*a + 254*a**2 + 454*a**3 - 411*a**2 - 349*a**2 = 0.
2/11, 1/3
Let q(d) be the third derivative of 0*d**5 + 0*d**4 + 0*d**3 - 1/112*d**8 + 0*d + 1/105*d**7 + 1/120*d**6 + 0 + 3*d**2. Factor q(a).
-a**3*(a - 1)*(3*a + 1)
Suppose -3*y - 2*y - 5*h - 30 = 0, 0 = 2*h + 6. Let b be (30/(-25))/(y/10). What is p in -5/2*p**2 + 7/2*p**5 + 5/2*p**b + p + 0 - 9/2*p**3 = 0?
-1, 0, 2/7, 1
Suppose -13/3*l**3 - 47/4*l**2 - 49/12 - 1/3*l**4 + 91/6*l = 0. What is l?
-7, 1/2
Suppose -4*q + 3*p = -5*q + 2, -4*q + 4*p + 24 = 0. Let a be -2 - ((-36)/q)/3. Factor a*u**2 + 0 - 2/5*u.
2*u*(u - 1)/5
Let r(l) be the second derivative of 2*l**6/5 - 9*l**5/20 - l**4/4 + 4*l. What is i in r(i) = 0?
-1/4, 0, 1
Let w(b) be the second derivative of -b**6/210 - b**5/35 - b**4/42 + 2*b**3/21 + 3*b**2/14 + 9*b. Factor w(z).
-(z - 1)*(z + 1)**2*(z + 3)/7
Let f(u) be the second derivative of -2*u**2 + 0 - 3*u - 2/3*u**3 - 1/12*u**4. Find s such that f(s) = 0.
-2
Solve -16*c**3 + 8*c**2 + 12*c + 4*c**5 + 5 - 8 - 5 = 0 for c.
-2, -1, 1
Let m = -5 + 49/9. Factor 2/3*a**2 + 0 + m*a.
2*a*(3*a + 2)/9
Suppose -1/2 + 3/4*p**2 - 1/4*p = 0. Calculate p.
-2/3, 1
Let y be (-12)/(-81)*(-12)/(-32). Let l(r) be the third derivative of y*r**4 + 1/30*r**5 - 2*r**2 + 0 + 1/27*r**3 + 0*r. Factor l(p).
2*(3*p + 1)**2/9
Let m(z) be the first derivative of z**4/18 + 2*z**3/27 - z**2/9 - 2*z/9 - 3. Factor m(d).
2*(d - 1)*(d + 1)**2/9
Determine q, given that -8*q**4 + 10*q + 2*q**4 - 4*q - 2*q**5 - 4*q**3 + 4*q**2 + 2 = 0.
-1, 1
Suppose 10*j = 24*j + 7*j. Find c such that -1/2*c**2 + 1/2 + j*c = 0.
-1, 1
Suppose -5*y = 3*l + 30, 3*y + 25 = -2*y - 2*l. Let f be (0 - (-6 + 1)) + y. Find g, given that -4*g + 5/2*g**2 + f - 1/2*g**3 = 0.
1, 2
Suppose 3*u + 9 = 0, 8 = 5*t - 3*u - 11. What is j in -9*j**2 + 17*j**t - 4*j**3 - 8 - 4*j + 8*j = 0?
-1, 1, 2
Let d(a) be the first derivative of -a**4/3 + 8*a**3/9 + 2*a**2 - 67. Factor d(n).
-4*n*(n - 3)*(n + 1)/3
Let l(f) be the third derivative of f**11/498960 + f**10/113400 + f**9/90720 - f**5/30 + 2*f**2. Let y(p) be the third derivative of l(p). Factor y(u).
2*u**3*(u + 1)**2/3
Let v(x) be the second derivative of -3*x - 1/10*x**5 - 1/6*x**4 + 0*x**2 - 1/9*x**3 - 1/45*x**6 + 0. Factor v(h).
-2*h*(h + 1)**3/3
Let p = -5 + 8. Suppose m**3 - 4*m**4 + 3*m**4 - m**4 + p*m**3 = 0. Calculate m.
0, 2
Let g be (-82)/3 - (-6 + 7). Let c = 29 + g. Factor -4/9 - 2/9*x**2 + c*x.
-2*(x - 2)*(x - 1)/9
Let l(m) = 21*m**5 - 6*m**4 - 60*m**3 - 21*m**2 + 9*m. Let o(b) = 21*b**5 - 6*b**4 - 59*b**3 - 20*b**2 + 8*b. Let r(f) = 4*l(f) - 3*o(f). What is p in r(p) = 0?
-1, 0, 2/7, 2
Suppose -19*p + 1 - 1 = 0. Suppose p*g**2 + 4/5*g**3 - 2/5*g**4 + 0 + 0*g = 0. What is g?
0, 2
Suppose -g - 4*r + 92 = g, 3*r = 4*g - 228. Let n be (-6)/4*(-48)/g. Factor -2/3*k**2 - 2/3 - n*k.
-2*(k + 1)**2/3
Let x = -55/4 - -169/12. Solve -2/3*t**3 + x*t**2 + 0 + 1/3*t**4 + 0*t = 0 for t.
0, 1
Let o(r) = -3*r**4 + 2*r**3 + 7*r**2. Let b(p) = 3*p**2 - 7*p**4 + 8*p**2 + 12*p**2 + 5*p**3 - 8*p**2. Let u(v) = 6*b(v) - 13*o(v). Factor u(f).
-f**2*(f - 1)*(3*f - 1)
Let f(s) = s**3 - 3*s**2 - 3*s - 4. Let j be f(4). Let z be j - (4/(-3) - -1). Factor z + 1/3*b**2 + 2/3*b.
(b + 1)**2/3
Factor 2/5 + 2/5*p**2 - 4/5*p.
2*(p - 1)**2/5
Suppose 3*a - 5*i + 16 = 0, 4 = 3*a - i - 0*i. Let d = -3 - -5. Factor -5*j**2 + a*j**d - j**3 + 3*j**2.
-j**2*(j - 1)
Suppose 4*w + 0 = 5*t + 6, 0 = -t + 4*w - 14. Suppose 10 