6. What is a in 0*a + 1/4*a**2 + 0 + 5/4*a**l + a**4 = 0?
-1, -1/4, 0
Let g(k) be the first derivative of -k**4/20 + k**3/15 + k**2/10 - k/5 - 10. Factor g(r).
-(r - 1)**2*(r + 1)/5
Let d be (-1)/5 - (-77)/35. Suppose 1 = n - d. Factor 0 + 2/7*g**2 + 6/7*g**n + 6/7*g**4 + 0*g + 2/7*g**5.
2*g**2*(g + 1)**3/7
Find k such that 2*k**3 + 0*k + 0 + 2/7*k**5 + 10/7*k**4 + 6/7*k**2 = 0.
-3, -1, 0
Let y(p) be the third derivative of -p**7/42 - p**6/12 + 5*p**4/12 + 5*p**3/6 + 18*p**2. Suppose y(a) = 0. What is a?
-1, 1
Let l be ((-18)/(-3) - 3) + 0. What is a in -l*a + 1 + a - 2 + 0 - a**2 = 0?
-1
Let c = 9 - 4. Factor 3*i**5 + 2*i**3 - 5*i**5 + 0*i**3 + 3*i**c - 3*i**4.
i**3*(i - 2)*(i - 1)
Factor 0 + 4/13*x - 2/13*x**2 - 2/13*x**3.
-2*x*(x - 1)*(x + 2)/13
Factor 0 + 4/5*b**2 - 24/5*b**3 - 32/5*b**5 + 48/5*b**4 + 0*b.
-4*b**2*(2*b - 1)**3/5
Let o(g) = -g**2 + g - 20. Let i be o(0). Let t be (-1)/4 - 105/i. Determine f so that -f**t - 7*f**5 - 10*f**2 + 2*f + 10*f**4 + 6*f**3 + 0*f**5 = 0.
-1, 0, 1/4, 1
Let u be 40/16*(-1)/(-150). Let q(o) be the third derivative of 0*o**3 + 0 - 1/12*o**4 + 0*o - 1/30*o**7 + 7/60*o**5 + o**2 + u*o**6. Factor q(a).
-a*(a - 1)*(a + 1)*(7*a - 2)
Let z(n) be the second derivative of -n**4/18 - n**3/9 - 4*n. Solve z(d) = 0 for d.
-1, 0
Let f(l) be the second derivative of -l**4/30 - 2*l**3/15 - l**2/5 - 5*l. Factor f(z).
-2*(z + 1)**2/5
Let u(w) = -w**2 + 5*w + 5. Let y(h) be the first derivative of -h**3/3 + 3*h**2/2 + 3*h - 4. Let z = 5 + -2. Let p(v) = z*u(v) - 5*y(v). Factor p(q).
2*q**2
Determine f, given that 3/5*f + 0 + 3/5*f**2 = 0.
-1, 0
Let o be (-1335)/(-315) + (-2 - 40/(-28)). What is l in 16/3*l**2 + 2/3 + 7/3*l**3 + o*l = 0?
-1, -2/7
Suppose 2*o - 6 = 10. Let c = o - 8. Determine h, given that c - 4/5*h**2 + 2/5*h**3 + 2/5*h = 0.
0, 1
Let v(t) be the first derivative of -t**4/18 - 8*t**3/9 - 16*t**2/3 + 4*t + 3. Let g(n) be the first derivative of v(n). Factor g(o).
-2*(o + 4)**2/3
Let l(h) = h**3 - h + 1. Let q(z) = -7*z**3 - 3*z**2 + 16*z + 8. Let n(t) = -4*l(t) - q(t). Solve n(m) = 0 for m.
-2, -1, 2
Suppose 59 = -6*z + 59. Let f(b) be the first derivative of 1/4*b**4 + 1/5*b**5 + z*b**3 + 0*b**2 + 0*b - 3. Factor f(q).
q**3*(q + 1)
Factor 1/4*a**3 + 363/4*a - 1331/4 - 33/4*a**2.
(a - 11)**3/4
Let g be (-14)/8*(1 + 3). Let v = g + 15. Determine k so that 74*k**2 + 6*k**3 + 7 - 48*k - 48*k**3 + 1 + v*k**4 = 0.
1/4, 1, 2
Let s(q) be the second derivative of 3*q**6/80 - 21*q**5/160 - 17*q**4/96 - q**3/16 - 16*q. Find x, given that s(x) = 0.
-1/3, 0, 3
Let a(h) = h**2 - h - 3*h**2 - 2*h**2 - 1. Let m(i) = 1 - 5 - 5*i**2 + 3 - 2*i. Let y(b) = -4*a(b) + 3*m(b). Factor y(c).
(c - 1)**2
Let n(w) = -w**2 + 5*w + 9. Let p(c) = c**2 + c - 1. Let j(o) = n(o) + 5*p(o). Factor j(m).
2*(m + 2)*(2*m + 1)
Factor w**2 + 98*w**3 + 2*w - 51*w**3 - 48*w**3.
-w*(w - 2)*(w + 1)
Factor -3*c + 0*c**2 + 10*c**3 + 1 - c**2 - 8*c**3 + c**3.
(c - 1)*(c + 1)*(3*c - 1)
Let f = 37 + -37. Let x = 392 + -2738/7. Factor 0*g - 4/7*g**3 + 2/7*g**2 - x*g**4 + f.
-2*g**2*(g + 1)*(3*g - 1)/7
Let y = -1207/7 + 173. Solve 2/7 - 2/7*m - 2/7*m**5 - 4/7*m**2 + 2/7*m**4 + y*m**3 = 0 for m.
-1, 1
Let b = 6 + -4. Solve 2*f**3 - 4*f**4 + b*f**4 - 4*f**3 = 0 for f.
-1, 0
Let x(y) be the second derivative of -1/20*y**4 - 5*y + 2/5*y**2 - 1/50*y**5 + 0 + 2/15*y**3 + 1/150*y**6. Factor x(p).
(p - 2)**2*(p + 1)**2/5
Suppose 0 = -5*c + c + 16. Suppose -6*f**3 - 15*f**4 + 8*f + 2*f**5 + 3*f**c + 8*f**2 + 8*f**4 = 0. What is f?
-1, 0, 2
Let s(m) be the second derivative of -m**4/48 + m**3/2 - 9*m**2/2 + 19*m. Suppose s(l) = 0. What is l?
6
Let z(j) = 4*j + 1. Let s be z(-2). Let a = s + 9. Factor 1/3*n**3 + 0 + 0*n + 0*n**a.
n**3/3
Solve -3*z**2 + 5*z**4 - 2*z**3 - 3*z**4 + 2*z + z**2 = 0 for z.
-1, 0, 1
Let a(m) = 5*m**2 + 53*m + 20. Let f(t) = -t. Let w(y) = -3*a(y) - 3*f(y). Factor w(h).
-3*(h + 10)*(5*h + 2)
Let g be (-1)/(-4)*4*(-2)/(-10). Let c(y) be the first derivative of 0*y - 1 - g*y**2 - 2/15*y**3. Factor c(l).
-2*l*(l + 1)/5
Let x(r) be the first derivative of -1/12*r**3 + 0*r**2 + 1/40*r**5 - r - 2 + 0*r**4. Let g(w) be the first derivative of x(w). Suppose g(p) = 0. Calculate p.
-1, 0, 1
Let u(w) be the first derivative of w**4/42 - w**3/21 - 4*w - 4. Let n(r) be the first derivative of u(r). Factor n(f).
2*f*(f - 1)/7
Let f(t) be the second derivative of -t**6/30 - t**5/20 + t**4/12 + t**3/6 + 5*t. Factor f(z).
-z*(z - 1)*(z + 1)**2
Find y such that 2*y**2 + 2*y**4 + 3*y**3 + 1/2*y + 1/2*y**5 + 0 = 0.
-1, 0
Factor -8/15*b**2 + 0 + 16/15*b + 2/15*b**4 - 4/15*b**3.
2*b*(b - 2)**2*(b + 2)/15
Let l(q) be the third derivative of -q**8/840 - q**7/175 - q**6/150 + q**5/75 + q**4/20 + q**3/15 - 11*q**2. Factor l(k).
-2*(k - 1)*(k + 1)**4/5
Determine y, given that 4*y**2 - 4 - 21*y**2 - 14*y + y**2 + 30*y = 0.
1/2
Factor -3*w**2 - 3/2*w + 3/2*w**5 + 3*w**4 + 0 + 0*w**3.
3*w*(w - 1)*(w + 1)**3/2
Determine y so that 0 - 12/5*y**4 - 39/5*y**3 + 0*y - 9/5*y**2 = 0.
-3, -1/4, 0
Suppose 3*n**3 + 72/7*n**2 + 36/7*n - 48/7 = 0. What is n?
-2, 4/7
Let m(n) = 38*n + 114. Let f be m(-3). Suppose -2/5*j**4 - 2/5*j**3 + f + 2/5*j**2 + 2/5*j = 0. What is j?
-1, 0, 1
Suppose 4*t + 3 = 19. Let d be (4/(-14))/(t/(-7)). Solve d - q + 1/2*q**2 = 0.
1
Let l = -48 - -48. Factor l - 1/3*r**2 + 0*r.
-r**2/3
Let t(o) be the third derivative of -o**7/1155 + o**5/110 - o**4/66 + 2*o**2. Factor t(h).
-2*h*(h - 1)**2*(h + 2)/11
Let q(f) be the third derivative of -f**8/20160 - f**7/1260 - f**6/240 + 2*f**5/15 + 7*f**2. Let c(s) be the third derivative of q(s). Factor c(u).
-(u + 1)*(u + 3)
Let l(n) = -n**3 - n**2 - n - 1. Let v(c) = 15*c**4 + 95*c**3 + 145*c**2 + 95*c + 30. Let z(k) = 15*l(k) + v(k). Suppose z(p) = 0. Calculate p.
-3, -1, -1/3
Suppose -3*h = -5*l + 13 + 12, -20 = -4*l + 3*h. Factor 18/7*r**l + 8/7 + 114/7*r**2 + 78/7*r**4 + 134/7*r**3 + 48/7*r.
2*(r + 1)**3*(3*r + 2)**2/7
Let x(p) be the first derivative of 2*p**3/15 - 3*p**2/5 + 4*p/5 - 5. Factor x(h).
2*(h - 2)*(h - 1)/5
Let q be (-21)/(-12)*2 - (-102)/(-34). Factor -q*a - 1 + a**2 + 1/2*a**3.
(a - 1)*(a + 1)*(a + 2)/2
Let u(m) be the first derivative of -15*m**4/4 - 40*m**3/3 - 35*m**2/2 - 10*m - 7. Suppose u(p) = 0. What is p?
-1, -2/3
Let p(w) be the first derivative of -w**5/20 + w**4/16 + w**3/4 - w**2/8 - w/2 - 17. Determine v so that p(v) = 0.
-1, 1, 2
Let t(i) be the second derivative of i**7/3780 - i**6/540 + i**5/180 - i**4/6 - 3*i. Let x(k) be the third derivative of t(k). Factor x(h).
2*(h - 1)**2/3
Let r(u) be the third derivative of u**5/90 + u**4/9 + 4*u**3/9 + 5*u**2. Factor r(l).
2*(l + 2)**2/3
Suppose -2*d + 2*z = -8, 0 = 2*d - z - 0*z - 9. Suppose 16 = -v + d*v. Factor 2*k**2 - 2*k**5 + 0*k**5 - 2*k**3 - v*k**3 + 6*k**4.
-2*k**2*(k - 1)**3
Let p be 2 + 7/(63/6). Determine a, given that -25/3*a**3 + p - 1/3*a**5 + 38/3*a**2 - 28/3*a + 8/3*a**4 = 0.
1, 2
Suppose -4*o - 2*u = -6, 5*o - 12 = 4*u - 2*u. Determine z, given that -2*z**3 + 0*z**3 + z**4 + 0*z**3 + z**o = 0.
0, 1
Factor 0*w**2 - w**2 + 0*w**2 + 2*w + 0*w**2.
-w*(w - 2)
Let t(h) = -h**2 - 8*h - 10. Let p be t(-2). Factor 0 - 1/2*o**4 + 1/2*o**p - o + o**3.
-o*(o - 2)*(o - 1)*(o + 1)/2
Suppose -3*s = -0*s - 12. Find v, given that s + 9*v + 2 - 5*v**2 + 8*v**2 = 0.
-2, -1
Let d(i) = -i**4 - i**3 + 1. Let t(m) = 3*m**4 + 4*m**3 - 5. Suppose -4 + 2 = 2*v. Suppose h = -4*h - 25. Let f(b) = h*d(b) + v*t(b). Let f(k) = 0. Calculate k.
-1/2, 0
Suppose 1/2 - 3/4*a - 1/4*a**4 - 1/4*a**2 + 3/4*a**3 = 0. What is a?
-1, 1, 2
Let g(j) be the first derivative of -2/15*j**3 + 2/25*j**5 + 0*j**2 + 3 + 0*j - 1/10*j**4 + 1/15*j**6. Factor g(k).
2*k**2*(k - 1)*(k + 1)**2/5
Suppose 1/5*f**4 - 1/5*f**2 + 0 + 1/5*f**5 + 0*f - 1/5*f**3 = 0. What is f?
-1, 0, 1
Let t(m) = m**3 + 12*m**2 - 16*m. Let f(a) = a**3 - a. Let s = 2 + -6. Let x(d) = s*f(d) + t(d). Factor x(r).
-3*r*(r - 2)**2
Let i(x) be the first derivative of -5*x**3/3 - 15*x**2/2 - 10*x + 3. Solve i(v) = 0.
-2, -1
Let g(v) be the third derivative of v**6/1380 + v**5/345 - v**4/92 - 11*v**2. Factor g(l).
2*l*(l - 1)*(l + 3)/23
Factor 0 - 12/5*y**2 + 16/5*y - 4/5*y**3.
-4*y*(y - 1)*(y + 4)/5
Let z(u) be the second derivative of u**7/1260 - u**6/360 + u**4/3 - 2*u. Let b(o) be the third derivative of 