z) be the third derivative of 0*z**k + 0*z + 3*z**2 + 0*z**4 + 0 + 1/40*z**5 + 1/80*z**6. Factor x(q).
3*q**2*(q + 1)/2
Let i(w) = 2*w**5 - 5*w**4 + 2*w**3 - 6*w**2 + 7*w - 11. Let q(x) = -x**5 + 3*x**4 - x**3 + 3*x**2 - 4*x + 6. Let o(t) = 6*i(t) + 11*q(t). Solve o(s) = 0.
-2, -1, 0, 1
Let w be 18/(-3)*8/6. Let c(f) = -f**2 - 8*f + 2. Let i be c(w). Factor -2*v**i - 4*v - v**3 + 4*v**4 + 2*v**3 + 7*v**3 + 2*v**4.
2*v*(v + 1)**2*(3*v - 2)
Let t(d) = -d**3 - 6*d**2 + 7*d + 4. Let v be t(-7). Factor -v*j**2 - 2*j**3 + 4 + 2*j**3 - j**3 + j**2.
-(j - 1)*(j + 2)**2
Let g = -16 + 19. Let o(i) be the second derivative of -7/48*i**4 + 1/12*i**g - 2*i + 0*i**2 + 0. Factor o(h).
-h*(7*h - 2)/4
Let j = 26 - 7. Let l = j + -13. Determine m, given that -8*m - 2*m**2 + l*m + 2*m**3 + 2 + 0*m = 0.
-1, 1
Let p(l) be the first derivative of 6*l**5/5 - 5*l**4/2 + 4*l**3/3 + 12. Factor p(n).
2*n**2*(n - 1)*(3*n - 2)
Let i be 10/5*3/2. Let a(g) be the second derivative of -3/40*g**5 + 0 - 3*g - 7/12*g**i - 1/2*g**2 - 1/3*g**4. Solve a(j) = 0 for j.
-1, -2/3
Let z(h) be the third derivative of 1/630*h**7 - 6*h**2 + 0 + 0*h**4 + 0*h**6 + 0*h + 1/18*h**3 - 1/90*h**5. Factor z(m).
(m - 1)**2*(m + 1)**2/3
Let l(s) be the second derivative of -s**6/60 + s**5/8 - s**4/8 - 5*s**3/12 + s**2 + 5*s. Factor l(b).
-(b - 4)*(b - 1)**2*(b + 1)/2
Let r(v) be the first derivative of 2*v - 1/2*v**4 + v**2 - 2/3*v**3 + 1. Determine b so that r(b) = 0.
-1, 1
Let p(s) be the first derivative of 0*s**3 + 0*s**5 - 3 + 0*s**4 + 0*s**2 + 0*s + 1/3*s**6. Factor p(a).
2*a**5
Let w be (-6)/8 - -1 - 0. Let q be 0 + 1*(-5)/(-10). Factor -q - 1/4*x + w*x**2.
(x - 2)*(x + 1)/4
Suppose 22 = -2*f + 4*y, 6*y - 32 = 4*f + 2*y. Let t be 5 + (-4 - f) + -4. Factor -1/2*g - 1/2*g**5 - 3*g**3 - 2*g**2 + 0 - t*g**4.
-g*(g + 1)**4/2
Let r(b) = -1. Let h(s) = 5*s**2 - 120*s + 750. Let u(g) = h(g) + 30*r(g). Factor u(t).
5*(t - 12)**2
Let -4*b**2 + 4*b**2 + 8*b - 4*b**2 = 0. What is b?
0, 2
Suppose 3*a + w - 4 = 2*w, -4*w - 16 = 0. Find d such that 2*d - 2/3*d**3 + 4/3 + a*d**2 = 0.
-1, 2
Let y(q) be the third derivative of 1/8*q**4 - 1/10*q**5 + 0*q**3 + 0 + 0*q - q**2 + 1/40*q**6. Factor y(m).
3*m*(m - 1)**2
Factor 2/3*b**4 + 0 + 0*b**3 + 0*b - 2/3*b**2.
2*b**2*(b - 1)*(b + 1)/3
Solve -39/4*p**2 + 0 + 7/4*p**3 + 19/4*p**4 + 9/4*p + p**5 = 0.
-3, 0, 1/4, 1
Suppose -5*u = -5*x + 25, -u = -0*u + 1. Factor 8*k**x - 2*k**4 + k**4 - 4*k**2 - 3*k**4.
4*k**2*(k - 1)*(k + 1)
Suppose n - 6*n = 15. Let d = n + 3. Suppose l**3 - 2*l**4 + 2*l**4 - l**5 + d*l**4 = 0. What is l?
-1, 0, 1
Let z(y) be the first derivative of 2*y**3 + 32*y + 12*y**2 + 1/8*y**4 + 9. Factor z(l).
(l + 4)**3/2
Let s = -20 - -221/11. Let p(v) be the first derivative of 0*v - s*v**2 - 2/11*v**3 + 1. Factor p(c).
-2*c*(3*c + 1)/11
Let j(x) be the third derivative of x**7/105 - x**5/15 + x**3/3 - 2*x**2. Factor j(i).
2*(i - 1)**2*(i + 1)**2
Let l = 126/95 - -2/285. Factor 5/3*n**2 + 8/3*n + 1/3*n**3 + l.
(n + 1)*(n + 2)**2/3
Let i(l) = -17*l**2 - 17*l - 9. Let r(h) = -4*h**2 - 4*h - 2. Let u(m) = -2*i(m) + 9*r(m). Find s, given that u(s) = 0.
-1, 0
Let a(l) be the second derivative of 7*l**4 + 0 + 13/10*l**6 - 4*l**3 - 9/2*l**5 + 4*l + 0*l**2 - 1/7*l**7. Find i, given that a(i) = 0.
0, 1/2, 2
Let q = -4 + 7. Factor -4*u**2 - u**3 - 2*u**q + 2*u**3 - 2*u - u**3.
-2*u*(u + 1)**2
Factor -10*a**3 + 18*a**3 - 6*a**3.
2*a**3
Suppose -6 - 2/3*q**2 + 4*q = 0. Calculate q.
3
Suppose 10 = 4*j - 50. Let m be ((-9)/j)/((-12)/16). Determine a, given that 0*a + 0 + 2/5*a**3 + m*a**2 = 0.
-2, 0
Let 8*x**4 + 8*x**2 + 17*x**3 + 2*x - 3*x**3 - 2*x**3 + x**5 + x**5 = 0. What is x?
-1, 0
Let w(l) = 8*l**4 + 4*l**3 + 12*l. Let z(f) = -f**4 - f. Let d(x) = -w(x) - 12*z(x). Suppose d(n) = 0. What is n?
0, 1
Let v(l) be the second derivative of l**4/18 + 34*l**3/9 + 289*l**2/3 + 6*l - 1. Factor v(t).
2*(t + 17)**2/3
Suppose -4*k + 2*g - 4*g = -36, -23 = -5*k + 3*g. Determine s, given that 13 - 14 - 6*s**2 + k + 3*s**3 - 3*s = 0.
-1, 1, 2
Determine t so that 12*t**5 + 40*t**5 + 135*t**4 - 24*t + 28*t**2 - 136*t**2 - 78*t**3 + 23*t**5 = 0.
-2, -2/5, 0, 1
Solve 3*x + 3*x + 6*x**2 - x - 3*x = 0.
-1/3, 0
Factor -3/8*v + 0 + 3/8*v**2.
3*v*(v - 1)/8
Suppose 4*c = -0*c + 16. What is w in w**4 + 0*w**4 - 6*w**2 + w**c - 4*w = 0?
-1, 0, 2
Suppose -4 = 4*l - 6*l. Suppose 2/7*b - 2/7*b**l + 4/7 = 0. Calculate b.
-1, 2
Let w(n) = n. Let r(y) = -3*y**2 - 7*y + 8. Let u(a) = 2*a**2 + 3*a - 4. Let o(z) = -3*r(z) - 5*u(z). Let l(m) = 3*o(m) - 6*w(m). Factor l(c).
-3*(c - 2)**2
Let q(a) = 19*a**4 + 31*a**3 - 11*a**2 - 3. Let g(d) = -d**4 - d**3 + d**2 + 1. Let h(k) = 3*g(k) + q(k). Factor h(t).
4*t**2*(t + 2)*(4*t - 1)
Let c = 147 + -141. Let x(w) be the third derivative of 0 - 1/8*w**4 + 1/40*w**c - 1/20*w**5 + 0*w + 0*w**3 - 2*w**2 + 1/70*w**7. Suppose x(q) = 0. Calculate q.
-1, 0, 1
Let s(f) be the first derivative of f**6/540 - f**3/3 - 1. Let z(v) be the third derivative of s(v). Factor z(y).
2*y**2/3
Factor 4*l**3 + 0*l**3 - 6*l**2 + 5*l - l - 2*l**3.
2*l*(l - 2)*(l - 1)
Let q(d) be the first derivative of 0*d - 1/18*d**3 + 3 + 1/24*d**4 + 0*d**2. Solve q(b) = 0.
0, 1
Let z(k) = 5*k - 1. Let f be z(1). Determine p so that -f*p**2 + 0*p**4 + 4 - 4 + 8*p**3 - 4*p**4 = 0.
0, 1
Let f(i) be the second derivative of i**6/240 - i**5/80 - i**4/8 - i**3/3 + 4*i. Let t(n) be the second derivative of f(n). Find s such that t(s) = 0.
-1, 2
Let o(x) = -5*x**3 - 2*x**2 + 2*x - 1. Let r be o(1). Let d be r/(-15) + 174/15. Suppose d*p**4 + 9*p**3 + 4*p**5 - p**2 + p**2 = 0. Calculate p.
-3/2, 0
Let z(g) be the first derivative of g**7/560 - 3*g**3 - 7. Let c(b) be the third derivative of z(b). Factor c(k).
3*k**3/2
Let n be 96/4*(-1 + 0). Let d = n - -52. Factor -3*x**4 + 4 - d*x**3 - 2*x**5 - 18*x + 5*x**4 + 10*x**4 + 32*x**2.
-2*(x - 2)*(x - 1)**4
Let r(s) be the first derivative of 2*s**4/19 - 2*s**3/3 + 11*s**2/19 + 8*s/19 - 12. What is c in r(c) = 0?
-1/4, 1, 4
Let p be (-3)/(1 - 10/4). Solve 2*t**p + 3*t**2 - 6*t**2 = 0.
0
Factor -33/4*r**2 + 39/4*r - 3/2.
-3*(r - 1)*(11*r - 2)/4
Let o(u) be the first derivative of u**5/80 - 3*u**2 + 6. Let y(z) be the second derivative of o(z). Factor y(m).
3*m**2/4
Let f = 4/63 - -55/126. Factor -1/2*q**3 + 1/2 - 1/2*q**2 + f*q.
-(q - 1)*(q + 1)**2/2
Let o(f) = 19*f**5 + 21*f**4 - 7*f**3 - 5*f**2 + 4*f - 4. Let z(d) = 20*d**5 + 21*d**4 - 8*d**3 - 4*d**2 + 5*d - 5. Let w(h) = -5*o(h) + 4*z(h). Factor w(a).
-3*a**2*(a + 1)**2*(5*a - 3)
Factor -8/5*y**3 + 24/5*y**4 + 0*y**2 - 2*y**5 + 0 + 0*y.
-2*y**3*(y - 2)*(5*y - 2)/5
Let w = -12 - -17. Factor -9*t**4 - w*t**2 + 5*t**2 - 2*t**2 + 5*t**2 + 6*t**5.
3*t**2*(t - 1)**2*(2*t + 1)
Let k(q) be the third derivative of -23*q**5/12 - 125*q**4/24 - 5*q**3/3 + 2*q**2 + 3*q. Factor k(n).
-5*(n + 1)*(23*n + 2)
Let s(m) = -3*m. Let g be 2 + 6/(-4)*2. Let p be s(g). Suppose -15*d**5 - 9*d - 2 + 4*d**4 - 5*d**3 - 2*d**2 + 18*d**3 + 11*d**p = 0. What is d?
-1, -2/5, -1/3, 1
Factor -4*z**5 - 2*z + 0*z**4 + 4*z**3 + 0*z**5 + 2*z**4 + 2 + 2*z**5 - 4*z**2.
-2*(z - 1)**3*(z + 1)**2
Let x(p) = 7*p**4 - 11*p**3 - 2*p**2 + 8*p + 12. Let y(k) = 15*k**4 - 23*k**3 - 3*k**2 + 15*k + 25. Let u(a) = -9*x(a) + 4*y(a). Factor u(c).
-(c - 2)**2*(c + 1)*(3*c + 2)
Suppose 0 = 4*a - 5*a + 5. Let -3*o**5 + o**a + 3*o**5 - o**4 = 0. What is o?
0, 1
Let u(j) be the first derivative of -j**9/12096 + j**8/2240 - j**7/1120 + j**6/1440 - j**3/3 - 1. Let v(o) be the third derivative of u(o). Factor v(r).
-r**2*(r - 1)**3/4
Solve 4/13*c - 16/13 + 2/13*c**2 = 0 for c.
-4, 2
Let y(v) = -9*v - 9. Let r be y(-1). Factor 9/4*b + r + 1/4*b**4 + 7/4*b**3 + 15/4*b**2.
b*(b + 1)*(b + 3)**2/4
Let w = -5 - -7. Factor h**3 + h + w*h**2 + h + 2*h + 2*h**2.
h*(h + 2)**2
Let z = -362 - -364. Let -1/4*n**3 + 1/2*n**4 + 0 - 1/2*n**z + 1/4*n**5 + 0*n = 0. Calculate n.
-2, -1, 0, 1
Let k = -79 + 81. Let v(q) be the third derivative of 1/350*q**7 + 2*q**k + 1/300*q**5 + 0*q + 0 + 0*q**3 - 1/120*q**6 + 3/560*q**8 + 0*q**4. Factor v(c).
c**2*(c + 1)*(3*c - 1)**2/5
Suppose y - 5 = -1. Solve -9*n**4 + 11*n**2 + 0*n**3 - n**3 + 3*n**3 - y + 4*n**3 - 4*n = 0 for n.
-2/3, 1
Let v = -14 - -9. Let m(t) = t + 5. Let h be m(v). What is z in 0*z - 9/4*z**4 - 7/4*z**5 + 0 - 1/2*z