 k**6/24 + k**5/12 + 3*k**2. Determine y so that f(y) = 0.
-1, 0
Let f(p) = -p**3 - p**2 + p - 1. Let h(n) = 7*n**3 + 10*n**2 - 16*n - 20. Let y(x) = 4*f(x) + h(x). Let y(s) = 0. Calculate s.
-2, 2
Suppose -3*i = -r + 11, 2*r + i + 0 = 1. Factor 6*x**r + 0*x**2 + x - x**3 - 1 - 5*x**2.
-(x - 1)**2*(x + 1)
Let c be 3/(-135)*-9*2. Determine a so that 2/5*a + 4/5 - c*a**2 = 0.
-1, 2
Let y(n) = n**2 - n + 1. Let p(f) = -33*f**2 + 27*f. Let d(b) = p(b) + 6*y(b). Find c such that d(c) = 0.
-2/9, 1
Let n(y) be the third derivative of -1/390*y**5 - 6*y**2 - 1/780*y**6 + 0 + 0*y + 0*y**4 + 0*y**3. Find v, given that n(v) = 0.
-1, 0
Suppose -6*r = -r - z - 9, -4*z = 5*r - 14. Let l(o) be the first derivative of 1/2*o**r - 2*o + 3 + 1/3*o**3. Let l(f) = 0. What is f?
-2, 1
Let y be -2 - 2*(-3 - (4 + -4)). Let r = -1 + 4. Factor -2/7*f - 4/7*f**2 - 2/7*f**5 + 2/7 + 2/7*f**y + 4/7*f**r.
-2*(f - 1)**3*(f + 1)**2/7
Suppose -o - 285 = -6*o. Let l = o + -111/2. Determine g, given that 3/4*g**3 - 15/4*g + l + 9/4*g**2 - 3/4*g**4 = 0.
-2, 1
Let v(d) = -147*d**3 - 35*d**2 + 16*d + 10. Let k(i) = 29 + 21*i + 3*i + 24*i - 105*i**2 - 441*i**3. Let r(u) = -6*k(u) + 17*v(u). Let r(o) = 0. Calculate o.
-2/7, 1/3
Let h(j) be the third derivative of j**5/120 + j**4/24 - j**3/4 - 2*j**2. Factor h(v).
(v - 1)*(v + 3)/2
Let a(m) = 2*m**5 + 8*m**4 + 6*m**3 - 8*m**2 + 4*m. Let d(h) = h**5 + h**3. Let g(z) = a(z) - 6*d(z). Factor g(f).
-4*f*(f - 1)**3*(f + 1)
Let z(x) be the second derivative of x**9/10584 + x**8/1960 + x**7/980 + x**6/1260 + 7*x**3/6 + 2*x. Let k(w) be the second derivative of z(w). Factor k(q).
2*q**2*(q + 1)**3/7
Let p be 0*(-3)/6 + -9. Let g = p + 9. Factor 7*r**2 + g*r**3 - 5*r**2 + r**3 + r.
r*(r + 1)**2
Let d(y) be the second derivative of -y**3/6 + 7*y**2/2 - 3*y. Let n be d(4). Factor -n*m**2 + m - 3*m + m**2.
-2*m*(m + 1)
Let x = 1 - -1. Suppose 13*m - 8 - 2*m**4 - 26*m**x + 0*m**3 + 12*m**3 + 3*m + 8*m = 0. Calculate m.
1, 2
Let j(m) be the second derivative of -m**5/4 - 45*m**4/2 - 810*m**3 - 14580*m**2 + 51*m. Factor j(o).
-5*(o + 18)**3
Let n = -6/23 + 59/138. Let -1/3 + n*v**2 - 1/6*v = 0. What is v?
-1, 2
Factor -2*i**4 + 9*i**5 - 10*i**2 + 21*i**3 - 22*i**4 + 4*i**2.
3*i**2*(i - 1)**2*(3*i - 2)
Let f(n) be the first derivative of -4*n**5 - 55*n**4/4 - 25*n**3/3 + 5*n**2 - 4. Solve f(s) = 0 for s.
-2, -1, 0, 1/4
Let s be 18/4 - 17/(-34). Suppose 0 = -s*f + f. Find d, given that -2/3*d - 4/3*d**2 + f - 2/3*d**3 = 0.
-1, 0
Factor 0 + 0*i - 2/7*i**2 + 2/7*i**3.
2*i**2*(i - 1)/7
Let q(y) be the second derivative of y**5/20 - y**3/6 - y**2/2 - 9*y. Let s(z) = 21*z**5 + 36*z**4 - 17*z**3 + 5*z + 5. Let o(h) = -5*q(h) - s(h). Factor o(l).
-3*l**3*(l + 2)*(7*l - 2)
Let f be -4*(0 + 2 + -3). Suppose z - f*i = 2*z + 13, 0 = 2*z - 5*i - 26. What is b in 3/4*b + 1/4*b**z + 1/4 + 3/4*b**2 = 0?
-1
Let s(x) be the first derivative of 3*x**6/2 - 2*x**5/5 - 9*x**4/2 + 4*x**3/3 + 9*x**2/2 - 2*x + 25. Solve s(a) = 0 for a.
-1, 2/9, 1
Let j(h) = h**2. Let z(b) = -4*b**2 + 8*b - 6. Let v(d) = -2*j(d) - z(d). Factor v(a).
2*(a - 3)*(a - 1)
Suppose 5*n + 19 + 6 = 0. Let i = n + 7. Find c such that 0*c + 2/7*c**4 - 2/7*c**5 + 0 - 2/7*c**i + 2/7*c**3 = 0.
-1, 0, 1
Suppose 0 = -2*d + 3*d - 11. Let y = d - 9. Factor 2/3 - 1/3*h**y - 1/3*h.
-(h - 1)*(h + 2)/3
Let j(r) be the first derivative of -1/2*r**4 + 3*r + 2*r**3 - 4*r**2 + 1/20*r**5 - 1. Let l(a) be the first derivative of j(a). Factor l(q).
(q - 2)**3
Let s = 457/4 + -114. Factor -s*u**2 - 1/2*u + 0 + 1/4*u**3.
u*(u - 2)*(u + 1)/4
Let x(f) be the first derivative of -f**6/33 + 2*f**4/11 - 4*f**3/33 - 3*f**2/11 + 4*f/11 - 14. What is u in x(u) = 0?
-2, -1, 1
Let p = -1189 - -249691/210. Let s(o) be the third derivative of -p*o**5 + 0 - 3*o**2 + 0*o + 1/84*o**4 + 0*o**3. Determine r so that s(r) = 0.
0, 1
Let h(k) be the second derivative of k**5/360 + k**4/48 + k**3/18 - k**2 - 4*k. Let d(g) be the first derivative of h(g). Suppose d(z) = 0. What is z?
-2, -1
Let t(l) be the second derivative of l**6/540 - l**4/36 - 5*l**3/6 - 2*l. Let a(u) be the second derivative of t(u). Determine j so that a(j) = 0.
-1, 1
Let h(k) be the second derivative of -k**7/6300 - k**6/225 - 4*k**5/75 + k**4/2 + 7*k. Let t(y) be the third derivative of h(y). Find s such that t(s) = 0.
-4
Suppose 0 = 5*f - 5. Let i(u) = 3*u**3 - 6*u**2 + 9. Let l(j) be the third derivative of -j**3/6 - j**2. Let h(d) = f*i(d) + 9*l(d). Factor h(x).
3*x**2*(x - 2)
Let u(y) = -5*y**2 + 5*y - 7. Let q(b) = -b**2 + b - 1. Let d(a) = -34*q(a) + 6*u(a). Factor d(j).
4*(j - 2)*(j + 1)
Suppose -2*p + 8 = 3*n - n, -4*n + 13 = p. Factor 0*d**n + 3*d**3 - d**4 - 2*d**3 + 0*d**4.
-d**3*(d - 1)
Suppose 0 = -4*q + 2*t - 2, 0 + 6 = 3*q - 4*t. Let i = 3 + q. Let f(p) = p**3 + p**2. Let r(w) = 3*w**3 + 9*w**2. Let s(x) = i*r(x) - 5*f(x). Factor s(a).
-2*a**2*(a - 2)
Let u(l) be the second derivative of 3*l**5/160 - l**4/24 + l**3/48 + 10*l. Let u(y) = 0. What is y?
0, 1/3, 1
Let s = 99 + -95. Let y(a) be the third derivative of 1/60*a**5 + 1/9*a**3 + 0 + 0*a - 2*a**2 - 5/72*a**s. Factor y(b).
(b - 1)*(3*b - 2)/3
Factor -6/7*j**2 - 16/7*j - 8/7 + 4/7*j**3 + 2/7*j**4.
2*(j - 2)*(j + 1)**2*(j + 2)/7
Factor -85/7*r - 1/7*r**5 + 25/7 + 106/7*r**2 - 58/7*r**3 + 13/7*r**4.
-(r - 5)**2*(r - 1)**3/7
Let c = 131/3 - 43. Let b(l) = 2*l**2 - 10*l - 48. Let d be b(8). Factor d*s**2 + 4/3*s**3 + 0 - c*s**4 + 0*s.
-2*s**3*(s - 2)/3
Factor -9*g**4 - 5 - 12*g**2 + 24*g**3 + 5.
-3*g**2*(g - 2)*(3*g - 2)
Let r(l) = 90*l**3 + 156*l**2 + 91*l + 19. Let q be -2 + (-6 + 3)/(-3). Let z(t) = t + 1. Let p(o) = q*r(o) + 3*z(o). Factor p(g).
-2*(3*g + 2)**2*(5*g + 2)
Let a(y) be the first derivative of -1/9*y**6 + 2/3*y - 5 - 4/9*y**3 + 1/3*y**4 + 2/15*y**5 - 1/3*y**2. Solve a(r) = 0.
-1, 1
Let k(x) = 0 - 3*x**4 + 0 + 2*x**3 + x**2. Let o(v) = -10*v**4 + 7*v**3 + 3*v**2. Let y(q) = 14*k(q) - 4*o(q). Factor y(c).
-2*c**2*(c - 1)*(c + 1)
Suppose -13 = 5*c + 2*d, 2*c + 4*d + 2 = -0*d. Let n be 5 - 3 - (c - -5). Factor 0*r + n + 1/6*r**2.
r**2/6
Let i(g) be the second derivative of -g**4/12 - g**3/3 + 4*g**2 + 3*g + 3. Suppose i(r) = 0. What is r?
-4, 2
Let p(f) be the third derivative of f**6/780 - f**5/390 - 3*f**2. Factor p(x).
2*x**2*(x - 1)/13
Let n(c) be the third derivative of c**6/120 - c**5/60 + c**3/2 + 4*c**2. Let y be n(0). Solve -2*m**2 - m**2 + m**2 + 5*m**3 + 0*m**y = 0 for m.
0, 2/5
Factor -1/2*o - 1/2 + 1/2*o**2 + 1/2*o**3.
(o - 1)*(o + 1)**2/2
Factor 5/4*y + 1/4*y**2 + 3/2.
(y + 2)*(y + 3)/4
Let t be 12/(-20) - (-176)/10. Let c = t - 50/3. Find u such that c*u**4 + 1/3 + 0*u - 2/3*u**2 + 0*u**3 = 0.
-1, 1
Let t(b) = -4*b**4 + 20*b**3 + 36*b**2 + 40*b + 10. Let c(a) = 11*a**4 - 59*a**3 - 108*a**2 - 120*a - 31. Let m(q) = 6*c(q) + 17*t(q). Factor m(u).
-2*(u + 1)*(u + 2)**3
Let w = -4 + 1. Let f = 6 + w. Solve 4*l**f - l**4 - 5*l**3 + l**2 + 2*l - l = 0.
-1, 0, 1
Suppose r + r = -3*c + 24, -2*c + 16 = -5*r. Suppose 0 = -4*d - 3*l + l - c, d + l = -4. Suppose 0*q**2 + 1/4*q**3 + 0 + d*q = 0. Calculate q.
0
Let u be (-1)/12*6/(-10). Let b(i) be the third derivative of -i**2 + 0*i + 1/75*i**5 + 0 + u*i**4 - 2/15*i**3. Suppose b(j) = 0. What is j?
-2, 1/2
Suppose -4 = 2*q - 44. Let m be (1 - 2)*(-12)/q. Solve -3/5*n**5 + m - 6/5*n**2 + 3/5*n**4 + 6/5*n**3 - 3/5*n = 0.
-1, 1
Factor -39*t**2 - 320 + 13*t**2 + 80*t + 11*t**2 + 10*t**2.
-5*(t - 8)**2
Suppose -5*t + 10 = 2*k, t = 2*k + k + 2. Find g such that -5*g**4 + 0*g**3 + 8*g**3 + 0*g**3 - 2*g - g**t = 0.
-2/5, 0, 1
Let j(q) = 35*q**3 + 47*q**2 + 5*q - 7. Let w(a) = 18*a**3 + 24*a**2 + 3*a - 3. Let y(x) = 3*j(x) - 7*w(x). Factor y(u).
-3*u*(u + 1)*(7*u + 2)
Let a(n) = -3*n**3 - 123*n**2 - 81*n + 207. Let o(r) = r**3 + 35*r**2 + 23*r - 59. Let g(b) = -5*a(b) - 18*o(b). Factor g(z).
-3*(z - 1)*(z + 3)**2
Factor -1/7*h + 2/7 - 1/7*h**2.
-(h - 1)*(h + 2)/7
Let q(o) be the third derivative of 0*o**4 - 1/30*o**5 + 0 - 6*o**2 + 0*o**3 + 0*o - 1/30*o**6 - 1/105*o**7. Suppose q(y) = 0. Calculate y.
-1, 0
Let h be ((-2)/(20/(-6)))/(3/15). Let k(p) be the first derivative of -7/12*p**6 + 0*p - 11/8*p**4 + 0*p**2 + 8/5*p**5 - 1 + 1/3*p**h. What is w in k(w) = 0?
0, 2/7, 1
Let p(g) be the second derivative of g**10/60480 - g**9/12096 + g**8/6720 - 