**2 + 7/6*h**4 - 2*h. Determine n so that y(n) = 0.
-1, 2/5, 1
Let x(d) = -7*d**3 + 15*d**2 + 51*d + 24. Let m(z) = 11*z**3 - 22*z**2 - 77*z - 36. Let r(l) = 5*m(l) + 8*x(l). Find s such that r(s) = 0.
-1, 12
Determine c so that 12/5*c**3 - 4/5*c**2 - 16/5 - 32/5*c = 0.
-1, -2/3, 2
Suppose -6 = 5*l + 4. Let g be (6/l)/(-2 - -1). Suppose z**3 + g*z**2 - 2*z**4 - 2*z**3 - 1 + 0*z + z = 0. What is z?
-1, 1/2, 1
Let f(t) be the first derivative of t**2/2 + 12*t + 4. Let p be f(-10). What is d in 2/5*d**4 + 8/5 - 8/5*d + 4/5*d**3 - 6/5*d**p = 0?
-2, 1
Solve 0*v**2 - 1/3*v**3 + 0 + 1/3*v = 0 for v.
-1, 0, 1
Let w(y) be the first derivative of y**7/280 - y**6/30 + y**5/10 - y**3 + 3. Let u(n) be the third derivative of w(n). Factor u(x).
3*x*(x - 2)**2
Factor -2*p**2 + 2 - 1/2*p**3 + 1/2*p.
-(p - 1)*(p + 1)*(p + 4)/2
Let z(f) be the third derivative of f**8/288 - f**7/630 - 7*f**6/720 + f**5/180 + 4*f**2. Solve z(b) = 0 for b.
-1, 0, 2/7, 1
Let t be 4/10 + (-1)/15. Let c = 22 - 65/3. Factor 0 - c*d**2 + t*d.
-d*(d - 1)/3
Suppose w + 11 = 3*h, 0 = -h - 2*h - 4*w + 1. Factor -h*d**2 + 2*d**2 + d**3 - 5*d - 1 + 4*d + 2*d**2.
(d - 1)*(d + 1)**2
Suppose 56 + 4 = 3*n. Suppose 0 = 4*s + s - n. Factor 4*k**4 - s*k**2 + k - k**3 - k + k.
k*(k - 1)*(k + 1)*(4*k - 1)
Let h(s) be the second derivative of -s**6/80 + 3*s**5/32 - 3*s**4/32 - 9*s**3/16 + 3*s. Solve h(l) = 0 for l.
-1, 0, 3
Suppose 0*y - 1/5*y**2 + 1/5*y**3 + 0 = 0. What is y?
0, 1
Let r be (2/(-8))/((-5)/60). Suppose -3*j + 0*h = r*h + 6, 0 = -5*j + 4*h + 8. Factor -1/3*z**2 + 0 + j*z.
-z**2/3
Let z be (18/(-15))/((-1)/5). Factor -4*s**2 + 5*s**3 - z*s**3 + 2*s**2 - s**3.
-2*s**2*(s + 1)
Let g = 752 + -15037/20. Let j(p) be the second derivative of 1/6*p**3 + g*p**5 - 3*p - 1/2*p**2 + 0 + 5/12*p**4. Determine v so that j(v) = 0.
-1, 1/3
Let q(r) be the third derivative of r**8/560 - r**7/350 - r**6/200 + r**5/100 + 5*r**2. Factor q(a).
3*a**2*(a - 1)**2*(a + 1)/5
Let f(l) be the second derivative of -7*l**4/36 + 23*l**3/18 - l**2 - 16*l. Factor f(g).
-(g - 3)*(7*g - 2)/3
Let n be (-4)/12*72/(-60). Factor 2/5*d**5 - n - 2*d**4 + 2*d + 4*d**3 - 4*d**2.
2*(d - 1)**5/5
Let u be 0 - -2 - (-4834)/9. Let k = -538 + u. Factor 4/3*w - 2/9 - k*w**2.
-2*(w - 1)*(5*w - 1)/9
Let m(w) be the second derivative of -w**6/30 - w**5/10 + w**4/12 + w**3/3 - 20*w. Determine c so that m(c) = 0.
-2, -1, 0, 1
Let u(l) be the second derivative of l**7/21 - 2*l**5/5 - l**4/3 + l**3 + 2*l**2 - 35*l. Factor u(c).
2*(c - 2)*(c - 1)*(c + 1)**3
Let d(c) be the first derivative of -2*c**6/3 + 4*c**5/5 + 3*c**4 - 4*c**3/3 - 4*c**2 + 8. Solve d(q) = 0.
-1, 0, 1, 2
Let w(t) be the second derivative of t**6/10 - 3*t**5/10 + 7*t. Factor w(u).
3*u**3*(u - 2)
Suppose 0*h - 11*h**2 - 8*h**3 + 8*h - 17*h**2 + 28*h**4 = 0. Calculate h.
-1, 0, 2/7, 1
Let d(n) = n**3 - 4*n**2 + 5*n - 6. Let q be d(3). Factor 1/2*x**4 + 1/2*x**5 + 0 + 0*x**3 + q*x + 0*x**2.
x**4*(x + 1)/2
Let m be (-35)/(-9)*-1 - -4. Let c(k) be the second derivative of -1/63*k**7 - 2*k - 1/15*k**5 - 1/3*k**2 + 0 + 1/3*k**3 - m*k**4 + 1/15*k**6. Solve c(q) = 0.
-1, 1
Let i(n) be the second derivative of n**7/14 - 7*n**6/10 + 27*n**5/10 - 11*n**4/2 + 13*n**3/2 - 9*n**2/2 + 12*n. Solve i(a) = 0.
1, 3
Let -2*j**3 - 20*j**3 - 18 - 5*j**4 - 5*j**2 - j**3 + 51*j = 0. What is j?
-3, 2/5, 1
Find n, given that 0 + 4/7*n + 4/7*n**2 = 0.
-1, 0
Factor 0 - 48/19*r**2 - 2/19*r**4 - 18/19*r**3 - 32/19*r.
-2*r*(r + 1)*(r + 4)**2/19
Let b(c) be the third derivative of 1/210*c**7 - 7*c**2 + 1/20*c**5 + 0*c**3 + 0*c + 0 - 1/24*c**4 - 1/40*c**6. Find p such that b(p) = 0.
0, 1
Suppose g - o = -0*g + 5, 4*g = 3*o + 17. Let s(m) = 1 - 6 + g*m**2 + 8 + 5*m**3. Let t(r) = 16*r**3 + 6*r**2 + 10. Let q(h) = -10*s(h) + 3*t(h). Factor q(n).
-2*n**2*(n + 1)
Let x(q) = -19*q**3 + 107*q**2 - 64*q. Let w(t) = 28*t**3 - 160*t**2 + 96*t. Let g(l) = -5*w(l) - 8*x(l). Factor g(h).
4*h*(h - 4)*(3*h - 2)
Let p = -5 + 7. Let t be 12/27*3/p. Find l, given that -2/3*l - t*l**2 + 0 = 0.
-1, 0
Let b(j) be the first derivative of j**4/30 - 2*j**3/15 + j**2/5 + 2*j + 1. Let y(l) be the first derivative of b(l). Factor y(a).
2*(a - 1)**2/5
Let u(a) be the first derivative of -a**4/2 + 2*a**3 - 70. Factor u(y).
-2*y**2*(y - 3)
Suppose 0 = 4*k - 5*n + 3*n, 3*n - 4 = 4*k. Suppose 3*g + k = 4*w + 5*g, 3*g + 9 = 0. Solve 0 + 0*m - 2/5*m**w + 6/5*m**3 = 0 for m.
0, 1/3
Suppose -h + 4 = 0, -3*k - 3*h + 2 = -16. Suppose -6*b + 8 = -k*b. Factor 0*i**b + 0 - 1/3*i**3 + 1/3*i.
-i*(i - 1)*(i + 1)/3
Let j = 226 + -224. Factor -1/2*r + j*r**2 + 2*r**4 + 0 - 1/2*r**5 - 3*r**3.
-r*(r - 1)**4/2
Suppose -3*n + 12 = 3*k, 3*n - 16 = -5*k + 12. Suppose -3*c + 1 = -k. Factor x**4 + 0*x**3 + 2*x**3 - 2*x + 2*x**2 - c*x**4.
-2*x*(x - 1)**2*(x + 1)
Let j = -1/46 + 97/230. Let 2/5*n + 0 - j*n**2 = 0. Calculate n.
0, 1
Suppose -4/3*f + 0 + 2*f**2 - 2/3*f**3 = 0. Calculate f.
0, 1, 2
Let w(j) be the third derivative of j**7/1155 + j**6/330 - j**4/66 - j**3/33 - 5*j**2. Find z such that w(z) = 0.
-1, 1
Let i be 1/(((-455)/20)/13 + 2). Factor -u + 2/3*u**3 + 1/3*u**5 - 2/3*u**2 + u**i - 1/3.
(u - 1)*(u + 1)**4/3
Let j be (-11)/(220/8)*(-1)/1. Determine z so that -2/5 - 8/5*z**3 - 8/5*z - 12/5*z**2 - j*z**4 = 0.
-1
Suppose 0 + 3*j - 3/4*j**3 - 9/4*j**2 = 0. What is j?
-4, 0, 1
Let v = -92/15 + 31/5. Let w(g) be the second derivative of 2/3*g**3 + 3*g - 1/5*g**5 + 0 + 0*g**4 + g**2 - v*g**6. Factor w(i).
-2*(i - 1)*(i + 1)**3
Suppose t + 2*o - 4*o = 0, 3*t + 2*o = 0. Let z(m) be the third derivative of 2/21*m**3 + 0*m - 1/210*m**5 + 2*m**2 + t - 1/84*m**4. Let z(p) = 0. What is p?
-2, 1
Suppose -t + 0*a = -a - 7, 3*t - 4*a = 26. Let w(c) be the first derivative of -2*c - 1/2*c**2 + 1/3*c**3 + t. Factor w(r).
(r - 2)*(r + 1)
Let z(n) be the second derivative of -n**4/12 + n**3/3 - n**2/2 + 6*n. Factor z(b).
-(b - 1)**2
Factor -8 + 5 - 9 - 8*s + 4*s**2.
4*(s - 3)*(s + 1)
Let i = 379 + -378. Factor 5/2*o - 2*o**2 - 3/2*o**3 + i.
-(o - 1)*(o + 2)*(3*o + 1)/2
Let z = -9 + 13. Factor -8 - 13*p**3 - p**4 - p + 14*p**2 + 3*p**z + p**4 + 5*p.
(p - 2)**2*(p - 1)*(3*p + 2)
Factor 35*t**3 - 5*t + 30*t**2 - 83*t**4 - 10 + 0 + 93*t**4.
5*(t + 1)**2*(t + 2)*(2*t - 1)
Let t(n) = 4*n**2 - 5*n - 3. Let d(q) = 20*q**2 - 26*q - 14. Let h(s) = 3*d(s) - 14*t(s). Factor h(j).
4*j*(j - 2)
Factor 26/3*x**2 - 70/3*x - 98/3 - 2/3*x**3.
-2*(x - 7)**2*(x + 1)/3
Solve 7/3*y**2 + 1/3*y**3 - 8/3*y + 0 = 0 for y.
-8, 0, 1
Let a(x) be the first derivative of -2 - 1 + x**3 + 0 + 2 + 3*x**2. Factor a(k).
3*k*(k + 2)
Let h be (-6)/(-27) + (-48)/(-27). Suppose 0 = 2*w - w - 2. Determine a so that -2*a**4 + w*a**h + 0 + a**4 - 1 = 0.
-1, 1
Let k = -16 + 21. Let w be (-3 - k)*4/(-12). Factor 2/3 - 2/3*i**2 + 8/3*i**3 - w*i.
2*(i - 1)*(i + 1)*(4*i - 1)/3
Let v = -35 - -35. Let d = 6 - 6. Find b such that 4/3*b**2 + 2/3*b + v - 2/3*b**5 + d*b**3 - 4/3*b**4 = 0.
-1, 0, 1
Let u(l) be the first derivative of -l**4/4 - l**3/3 - 2. Let g(b) = 4*b**3 - 2*b + 2. Let d(a) = g(a) + 2*u(a). Factor d(r).
2*(r - 1)**2*(r + 1)
Let b be 1*6 + -5*4/10. Suppose c**b - 1/3*c**2 - 5/3*c + 5/3*c**3 - 2/3 = 0. What is c?
-1, -2/3, 1
Factor -46*d + 2*d**2 - 6*d**2 + 16 - 8*d**2 + 2*d.
-4*(d + 4)*(3*d - 1)
Let q(y) be the third derivative of y**6/40 + y**5/20 - 2*y**2. Factor q(f).
3*f**2*(f + 1)
Let w(b) be the first derivative of -4/7*b**6 - 58/21*b**3 - 4/7*b + 5 - 3/14*b**4 + 15/7*b**2 + 62/35*b**5. Solve w(s) = 0.
-1, 1/4, 1/3, 1, 2
Suppose -5*f - 4 = -4*x + 3, -4*x = 2*f - 14. Factor 2/3*r**2 + 2/9*r**x + 2/9 + 2/3*r.
2*(r + 1)**3/9
Suppose 0*s = 4*s + 12, 5*s + 23 = -4*z. Let i = z + 6. Solve 2*g**3 - 2/5*g - 6/5*g**i + 0 - 2/5*g**2 = 0 for g.
-1/3, 0, 1
Suppose -98/3 + 124/3*c**2 - 3*c**3 - 413/3*c = 0. What is c?
-2/9, 7
Suppose 2*k - k = 3. Factor 0*c**2 - 2*c + 4/3 + 2/3*c**k.
2*(c - 1)**2*(c + 2)/3
Let -6/5*q - q**2 + 0 + 1/5*q**3 = 0. Calculate q.
-1, 0, 6
Factor 0 - 2*x + 2/7*x**2 - 2/7*x**4 + 2*x**3.
-2*x*(x - 7)*(x - 1)*(x + 1)/7
Let j(c) be the third derivative of 0*c**3 - 3/160*c**6 - 6*c**2 + 0 + 0*c - 1/16*c**5 - 1/16*c**4. Let j(w) = 0. What is w?
-1, -2/3, 0
Let s(y) = y**5 - y**4 - 2*y**3 + 3*y + 3. Let u(b) = -4*b**5 + 2*b**4 + 6*b**3 + b**2 - 9*b - 10. Let v(a) = -21*s(a) - 6*u(a). Find