irst derivative of -s**2 + 2/5*s**5 - a*s**3 + 2 + s**4 + 2*s - 1/3*s**6. Factor f(v).
-2*(v - 1)**3*(v + 1)**2
Let f = 43/124 - 3/31. Suppose 0*v**2 - 1/2*v - f*v**4 + 1/4 + 1/2*v**3 = 0. What is v?
-1, 1
Let o(n) be the third derivative of n**5/30 + 7*n**4/2 + 147*n**3 - n**2 - 61*n. Factor o(l).
2*(l + 21)**2
Let x be (3 - (-3 - -6)) + 0. Let m(c) be the second derivative of 1/45*c**6 + 0*c**3 - c + 0*c**2 + x + 1/30*c**5 + 0*c**4. Determine y, given that m(y) = 0.
-1, 0
Suppose -3*d + 4*l - 14 = 0, l + 11 - 16 = 0. Solve 0 + 2/3*b**3 + 0*b + 2/9*b**d + 2/9*b**5 + 2/3*b**4 = 0.
-1, 0
Suppose -4/5 + 8/5*s + 1/5*s**3 - s**2 = 0. Calculate s.
1, 2
Suppose -i - 11 = -11. Determine b, given that 2/7*b**2 + 6/7*b + i = 0.
-3, 0
Let j = -5 - -9. Let x(n) = n**2 - 4*n + 2. Let q be x(j). Suppose 8/3*y**2 + 0 - 8/9*y - q*y**3 = 0. Calculate y.
0, 2/3
Let r = -13/6 - -17/6. Factor 2/3*g + 0 + r*g**2.
2*g*(g + 1)/3
Let 4/7*j**3 + 0*j**2 + 8/7 - 12/7*j = 0. Calculate j.
-2, 1
Solve -2/9*k**2 - 2/3 + 10/9*k - 2/9*k**3 = 0 for k.
-3, 1
Let v = 180/23 + -21577/2760. Let j(i) be the third derivative of -v*i**6 + 0*i + 1/24*i**4 - i**2 + 0 + 0*i**5 + 1/12*i**3 - 1/420*i**7. Factor j(f).
-(f - 1)*(f + 1)**3/2
Suppose -1/3*w**4 + 0 - 4/3*w**3 - 4/3*w**2 + 0*w = 0. What is w?
-2, 0
Let d(s) = -s - 5. Let a be d(-7). Solve 0*p + 0 - 1/4*p**3 + 1/4*p**4 + 1/4*p**5 - 1/4*p**a = 0.
-1, 0, 1
Let b(k) = k**2 + 10*k + 11. Let l be b(-9). Factor -f**2 - l*f - f**2 + 2 + 3 + 2*f**3 - 3.
2*(f - 1)**2*(f + 1)
Let k be -3 + 3 + -4 - -4. Let p(g) be the first derivative of 0*g**2 - 2 + k*g + 2/3*g**3 - 1/2*g**4. Determine t so that p(t) = 0.
0, 1
Let q be (-1 + (0 - 1))*-2. Suppose -q*i = -16 - 4. What is f in -15*f**2 - 2*f**5 - 10*f - 13*f**3 - i*f**2 - 2 - 10*f**4 - 7*f**3 = 0?
-1
Let u = 7 - 3. Factor 0 + k**3 + 2 + k**u - 2.
k**3*(k + 1)
Let u(x) = -3*x**3 - 15*x**2 - 13*x - 23. Let l(t) = -t**3 - 5*t**2 - 4*t - 8. Let a(i) = 11*l(i) - 4*u(i). Suppose a(c) = 0. Calculate c.
-2, -1
Let j = 75 + -67. Factor 2 + 7/2*n**4 - 1/2*n**5 - j*n + 25/2*n**2 - 19/2*n**3.
-(n - 2)**2*(n - 1)**3/2
Factor 8*b**2 + 25 - 18*b - 5*b**2 + 2.
3*(b - 3)**2
Find s such that 5/3*s**5 - 5*s**3 + 5/3*s**4 + 10/3*s - 5/3*s**2 + 0 = 0.
-2, -1, 0, 1
Let a(j) be the second derivative of j**10/50400 - j**9/25200 + j**4/12 + j. Let y(k) be the third derivative of a(k). Factor y(h).
3*h**4*(h - 1)/5
Let g be (7 - 0) + 5/(-5). Let h(r) be the third derivative of 0*r - 1/30*r**5 - 2*r**2 + 0 + 1/3*r**3 - 1/60*r**g + 1/12*r**4. Find j such that h(j) = 0.
-1, 1
Factor c + 8*c**2 + 14 - 4*c**4 + 0*c**4 - 50 + 16*c**3 - 49*c.
-4*(c - 3)**2*(c + 1)**2
Let s(w) be the second derivative of 0*w**4 + 1/120*w**5 + 0 - 3*w + 0*w**3 + 0*w**2. Find n, given that s(n) = 0.
0
Let f(i) be the third derivative of -i**7/70 - 3*i**6/40 - 3*i**5/20 - i**4/8 - 14*i**2. Suppose f(v) = 0. What is v?
-1, 0
Let b(s) be the third derivative of -1/30*s**4 + 5*s**2 + 1/300*s**6 + 0*s**3 - 1/150*s**5 + 0*s + 0. Factor b(r).
2*r*(r - 2)*(r + 1)/5
Let y(a) be the third derivative of -a**10/40320 + a**8/4480 - a**6/960 - 5*a**4/24 - 3*a**2. Let u(b) be the second derivative of y(b). Factor u(l).
-3*l*(l - 1)**2*(l + 1)**2/4
Let w = -32/7 - -34/7. Find f, given that -2/7*f**4 + 4/7*f + 0 + w*f**2 - 4/7*f**3 = 0.
-2, -1, 0, 1
Let n(g) be the third derivative of g**6/1080 - g**5/180 + g**4/72 + g**3/3 - 4*g**2. Let p(x) be the first derivative of n(x). Factor p(i).
(i - 1)**2/3
Let m(y) be the third derivative of -y**7/630 - y**6/360 + 4*y**2. Factor m(n).
-n**3*(n + 1)/3
Let q(f) = -2*f - 6. Let m(d) = -d**2 - 2*d - 1. Let v be m(-3). Let y be q(v). Factor 2 - 3*a**3 - 5*a**3 + 6*a**y + 4*a**3 + 2*a**3 - 6*a.
-2*(a - 1)**3
Suppose 3*j + j - 8 = 0. Solve -2*u**j - 2*u**2 - 4*u**3 + 10*u**4 + 0*u**2 - 2*u**3 = 0.
-2/5, 0, 1
Let s(o) = -o - 1. Let l be s(-3). Factor 2*q + 3*q**2 + 6 + 2*q**l - 16*q - q**2.
2*(q - 3)*(2*q - 1)
Suppose 9*f = 10*f - 4. Let y(m) be the first derivative of 2/15*m**3 + 1/10*m**f + 1 - 2/5*m - 1/5*m**2. Factor y(i).
2*(i - 1)*(i + 1)**2/5
Let r(w) = 2*w**2 + 2*w - 3. Let t be r(4). Let a be 30/(-50) + t/45. Factor -2/9*o - a*o**4 + 2/9*o**2 + 0 + 2/9*o**3.
-2*o*(o - 1)**2*(o + 1)/9
Let h(x) = -x**2 - 6*x + 1. Let m(l) = 3*l**2 + 17*l - 2. Let u(s) = -8*h(s) - 3*m(s). Factor u(n).
-(n + 1)*(n + 2)
Let o(s) = -s**2 - 1. Let z(t) = -35*t**2 + 10*t - 30. Let n(d) = -30*o(d) + z(d). Factor n(i).
-5*i*(i - 2)
Let u be 24 - (2 - (-2)/(-1)). Determine m, given that -48*m**2 - 1 + 2 + 52*m**3 - u*m**4 + 4*m**5 + 16*m - 1 = 0.
0, 1, 2
Let h(j) = -j**2 + 20*j - 1. Let i be h(20). Let c be (30/35 + i)*-9. Find o such that 6/7*o + 0 + 3/7*o**2 - c*o**3 = 0.
-2/3, 0, 1
Let o(n) be the third derivative of n**5/150 - n**4/40 + n**3/30 - 15*n**2. Factor o(v).
(v - 1)*(2*v - 1)/5
Let j(u) be the third derivative of -2*u**2 + 1/420*u**7 - 1/120*u**5 + 0*u**4 - 1/240*u**6 + 0*u**3 + 0 + 0*u + 1/672*u**8. Factor j(b).
b**2*(b - 1)*(b + 1)**2/2
Let n(l) = -l**5 - l**4 + l**3 + l - 1. Let f(s) = -8*s**5 + 7*s**4 + 3*s**3 - 10*s**2 + 8*s - 3. Let w(p) = -f(p) + 3*n(p). Factor w(c).
5*c*(c - 1)**3*(c + 1)
Let n(g) be the first derivative of -4 + g**3 - 5/4*g**4 + 0*g + 0*g**2. Solve n(s) = 0 for s.
0, 3/5
Let w(x) be the second derivative of -x**7/630 + x**6/90 - x**5/36 + x**4/36 + x**2 + 4*x. Let u(z) be the first derivative of w(z). Factor u(m).
-m*(m - 2)*(m - 1)**2/3
Let z = 238/1755 + -5/39. Let y(b) be the second derivative of 1/90*b**5 - z*b**6 + 1/54*b**4 + 0 + 2*b + 0*b**2 - 1/27*b**3. Factor y(k).
-2*k*(k - 1)**2*(k + 1)/9
Let n = 2332/21 + -111. Let d(j) be the second derivative of j + 0*j**2 + 0 - 1/42*j**4 - n*j**3. Factor d(c).
-2*c*(c + 1)/7
Let i(g) = -4*g - 19. Let c be i(-6). Factor -4*b**2 - 9*b**4 + 1 - 3/2*b + 11*b**3 + 5/2*b**c.
(b - 1)**4*(5*b + 2)/2
Let s(k) be the first derivative of 0*k**5 + 5 + 0*k - 1/6*k**4 + 0*k**3 + 1/18*k**6 + 1/6*k**2. Find n, given that s(n) = 0.
-1, 0, 1
Suppose -24*w + 77 = -19. Find m such that 2/3*m**3 + 0 + 0*m**2 + 2/9*m**w - 8/9*m = 0.
-2, 0, 1
Let d = 13 - 9. Let l(u) be the second derivative of 1/45*u**6 - 1/3*u**2 + 0*u**d + 1/15*u**5 + 0 + 2*u - 2/9*u**3. Solve l(a) = 0.
-1, 1
Let b(d) be the third derivative of d**6/720 + 29*d**5/360 + 65*d**4/48 - 25*d**3/4 - 33*d**2. Factor b(k).
(k - 1)*(k + 15)**2/6
Let b(u) be the second derivative of -u**7/112 + u**6/40 + 9*u**5/160 - u**4/8 - u**3/4 + 3*u. Solve b(l) = 0 for l.
-1, 0, 2
Let r(w) be the third derivative of 1/90*w**5 + 0 + 1/18*w**3 - 2*w**2 - 1/720*w**6 + 0*w - 5/144*w**4. Factor r(h).
-(h - 2)*(h - 1)**2/6
Let r be -1 + 12/4 + 1. Let g(y) be the first derivative of r + 0*y**2 + 1/9*y**3 - 1/15*y**5 + 0*y**4 + 0*y. Factor g(a).
-a**2*(a - 1)*(a + 1)/3
Factor -1/2*h**3 + 2*h - 2 + 1/2*h**2.
-(h - 2)*(h - 1)*(h + 2)/2
Determine p so that 32/5*p**2 + 0 + 18/5*p**4 - 8/5*p - 42/5*p**3 = 0.
0, 2/3, 1
Let q be (15/10)/((-3)/(-4)). Find v, given that 0*v**q - v**4 - 2*v**4 + 3*v**3 + 7*v**2 - 4*v**2 - 3*v = 0.
-1, 0, 1
Let d(b) be the first derivative of 0*b**2 - 4 - 1/2*b**4 - 1/3*b**3 + 0*b - 1/5*b**5. Find x such that d(x) = 0.
-1, 0
Let v = 29/55 + 3/11. What is p in 2/5*p + 2/5*p**5 + 0 + 0*p**2 + 0*p**4 - v*p**3 = 0?
-1, 0, 1
Let g(l) be the third derivative of l**7/210 - l**6/120 - l**5/20 + l**4/24 + l**3/3 - 2*l**2 + 52. Factor g(a).
(a - 2)*(a - 1)*(a + 1)**2
Let g(j) be the second derivative of -1/40*j**5 + 1/8*j**2 - 4*j + 0 + 0*j**3 - 1/16*j**4. Find t such that g(t) = 0.
-1, 1/2
Let f be (2/72)/(2*(-35)/(-21)). Let u(j) be the second derivative of 1/16*j**4 + 0 - 3/80*j**5 + f*j**6 - 1/24*j**3 + 0*j**2 - j. Solve u(i) = 0 for i.
0, 1
Let s = 242/5 - 48. Factor 2/5 + s*n**2 - 4/5*n.
2*(n - 1)**2/5
Let s(u) be the second derivative of -u**5/5 - 2*u**4/3 + 2*u**3/3 + 4*u**2 - 5*u. Factor s(f).
-4*(f - 1)*(f + 1)*(f + 2)
Let t(x) = 3*x - 4. Let w be t(3). Factor 11*u**4 - 8*u**4 + 0*u**w - 3*u**5.
-3*u**4*(u - 1)
Let n(v) be the third derivative of -v**6/540 - v**5/90 - v**4/54 - 40*v**2. Factor n(x).
-2*x*(x + 1)*(x + 2)/9
Let p(r) be the second derivative of -r**5/90 - r**4/54 - 6*r. Let p(t) = 0. Calculate t.
-1, 0
Solve -5*x + 4*x**3 + 7*x - 3*x**2 - 3*x = 0 for x.
-1/4, 0, 1
Let c be (-222)/(-275) + (-7)