 4*l**5/5 + 8*l**4 - 8*l**3/3 - 8*l**2 + 4*l + 9. Determine n, given that j(n) = 0.
-1, 1/4, 1
Let s be (2/3)/((-8)/36). Let k = 10/3 + s. Let f - 2/3 - k*f**2 = 0. Calculate f.
1, 2
Suppose 2 = -4*b + 18. Let a(v) be the third derivative of 0*v + 0*v**5 + 0*v**3 + 0 - 1/360*v**6 + 1/72*v**b - v**2. Factor a(o).
-o*(o - 1)*(o + 1)/3
Let u be (-42)/5*(-14)/2. Let o = 59 - u. Suppose -1/5*l**4 + 0 + o*l**2 - 1/5*l**3 + 1/5*l = 0. Calculate l.
-1, 0, 1
Let k(l) = 2*l**2 - l - 7. Suppose 4*y + 4*i = 32, -2*i + 1 - 34 = -5*y. Let g be k(y). What is v in -24*v - 218/3*v**2 - 8/3 - g*v**3 - 98/3*v**4 = 0?
-1, -2/7
Let q = 9 - 24. Let w = q - -21. Factor -1/2*x**3 + 4 + 3*x**2 - w*x.
-(x - 2)**3/2
Let u(l) = -16*l**4 - 19*l**3 - 56*l**2 + 9*l + 49. Let j(g) = -3*g**4 - 4*g**3 - 11*g**2 + 2*g + 10. Let c(s) = 11*j(s) - 2*u(s). Factor c(y).
-(y - 1)*(y + 2)**2*(y + 3)
Factor 0*u**3 - 3/7*u**2 + 1/7*u**4 - 2/7*u + 0.
u*(u - 2)*(u + 1)**2/7
Let c be (-2)/8*(-7 + -1). Let r(a) be the first derivative of 3/4*a**4 + 1/2*a**c + 1 + 0*a + 4/3*a**3. Let r(i) = 0. Calculate i.
-1, -1/3, 0
Suppose 48/5*x + 22/5*x**2 - 72/5 + 2/5*x**3 = 0. Calculate x.
-6, 1
Find g, given that 7/4*g**4 + 5*g - 1/2*g**3 - 1 - 21/4*g**2 = 0.
-2, 2/7, 1
Suppose -318*d**3 + 8 + 1 + 0*d - 21*d**2 - 6*d + 312*d**3 = 0. What is d?
-3, -1, 1/2
Suppose 10*b = 11*b - 2. Factor 3/2*z**3 + 0*z**b - 3/2*z + 0.
3*z*(z - 1)*(z + 1)/2
Let m(h) be the first derivative of 1/60*h**5 + 0*h**3 + 1/90*h**6 + 2 + 0*h**4 + 0*h**2 + 2*h. Let g(c) be the first derivative of m(c). Factor g(z).
z**3*(z + 1)/3
Let f(t) be the second derivative of t**5/70 - 2*t**4/21 - 5*t**3/21 - t - 2. Factor f(x).
2*x*(x - 5)*(x + 1)/7
Let c(d) be the first derivative of 0*d**2 + 0*d - 1/3*d**3 - 2 + 1/4*d**4. Factor c(n).
n**2*(n - 1)
Let v be (0*(-4 - -3))/2. Suppose 5*j + 2*k = -v*k - 6, 6 = 3*j - 2*k. Solve j + 16/3*o - 10/3*o**4 - 2/3*o**5 + 8/3*o**2 - 4*o**3 = 0.
-2, 0, 1
Suppose -o + 7 = 1. Suppose f - o*f = 0. Let f - 1/4*l**3 + 1/2*l**2 - 1/4*l = 0. What is l?
0, 1
Let j(r) be the third derivative of r**8/2520 + r**7/630 + r**6/360 - r**5/30 - 3*r**2. Let a(k) be the third derivative of j(k). What is b in a(b) = 0?
-1/2
Let g(n) be the first derivative of 5*n**3/3 - 10*n**2 - 6. Factor g(a).
5*a*(a - 4)
Let z(y) = 7*y**2 - 6*y. Let m(c) = 13*c**2 - 11*c. Let x(s) = -6*m(s) + 11*z(s). Solve x(r) = 0.
0
Factor 3/2*p**2 + 0*p - 3/2.
3*(p - 1)*(p + 1)/2
Let y be (39/26)/(27/1). Let j(h) be the second derivative of 0*h**2 - 1/9*h**3 - h - y*h**4 + 0. Determine r so that j(r) = 0.
-1, 0
Let z(w) be the first derivative of 0*w**2 + 4/3*w**3 + 3 + 4/5*w**5 + 2*w**4 + 0*w. Suppose z(i) = 0. Calculate i.
-1, 0
Suppose -16 - 602 = -6*r. Let k = -512/5 + r. Factor 6/5*u**2 - 3/5*u**4 + 0*u + 0*u**3 - k.
-3*(u - 1)**2*(u + 1)**2/5
Suppose 4*v = -4*d + 32, -v + 5*v + d = 41. Suppose 4*n + v + 5 = 2*q, 0 = q + 2*n + 8. Factor 2/3*p**4 + 16/3*p**2 + 10/3*p**3 + q + 8/3*p.
2*p*(p + 1)*(p + 2)**2/3
Factor 2/5*m**2 + 0*m - 2/5.
2*(m - 1)*(m + 1)/5
Let t(r) be the third derivative of r**5/60 - 7*r**4/24 + 2*r**3 + r**2. Let l be t(5). Factor -1/4*w**3 + 0*w**l + 0*w + 0.
-w**3/4
Suppose 0*i - 164 = 4*k + 5*i, k - 4*i + 62 = 0. Let w = 48 + k. Factor -1/4*s**3 + 0*s**w + 0 + s.
-s*(s - 2)*(s + 2)/4
Factor 16/5*x**2 - 4/5*x**3 + 4/5*x - 16/5.
-4*(x - 4)*(x - 1)*(x + 1)/5
Let r(o) = 9*o**2 + 70*o**4 + o**3 - 64*o**4 - 3*o**2. Let s(a) = 3*a**4 + 3*a**2. Let k(h) = -6*r(h) + 11*s(h). Determine p so that k(p) = 0.
-1, 0
Suppose -4*x + 5*x - 20 = 0. Suppose s - 22 = -5*u + 4*s, -4*u + 3*s + x = 0. Suppose 2/9*g**3 + 16/9*g + 8/9 + 10/9*g**u = 0. What is g?
-2, -1
Let k(c) be the second derivative of -c**4/54 + 2*c**3/9 - c**2 - 6*c. Let k(g) = 0. What is g?
3
Let p be (13 - -2) + (-6)/3. Let t = p + -11. Factor -1/2*d**2 - t*d - 2.
-(d + 2)**2/2
Suppose 3*a = 6, 4*a - 5 = -4*z + 5*z. Suppose -n - 3*c - 6 = 0, -z*c - 4 = 5. Let 0 - 1/4*h**n - h + h**2 = 0. Calculate h.
0, 2
Factor -8*y**2 + y**4 - 17*y**3 - 6*y**4 - y - 3*y - 8*y**2.
-y*(y + 1)*(y + 2)*(5*y + 2)
Let a(p) be the third derivative of -p**7/105 - 2*p**6/45 - p**5/30 + p**4/18 - 6*p**2. Suppose a(b) = 0. What is b?
-2, -1, 0, 1/3
Let p = 1/1816 - -12701/19976. Let w = p + -3/22. Factor 1/2*y**2 - w*y**3 + 0*y + 0.
-y**2*(y - 1)/2
Let d be (5 - 2 - -1)*(-15)/(-100). Let d*j + 0 - 3/5*j**2 = 0. Calculate j.
0, 1
Suppose f - 2 = -0. Factor -2*s**4 - 7*s**2 - s**4 + 10*s**f.
-3*s**2*(s - 1)*(s + 1)
Let l = -3 + 5. Let r = 2 + 1. Factor -l*w**r - 6*w**2 + 7*w**2 + w**3.
-w**2*(w - 1)
Let z = 52 - 95/2. Let -z*x - 6 + 3/2*x**2 = 0. Calculate x.
-1, 4
Let y(r) = -r**3 + 7*r**2 - 8*r - 8. Let a be y(5). Factor 1/4*n**a - 1/2*n**3 + 0 + 1/4*n**4 + 0*n.
n**2*(n - 1)**2/4
Suppose -y - 5 = -8. Factor 0 - 14/3*k**2 + 2/3*k**5 + 4/3*k + 6*k**y - 10/3*k**4.
2*k*(k - 2)*(k - 1)**3/3
Let p(h) be the first derivative of h**5/15 + h**4/4 - h**3 + 5*h**2/6 - 35. Factor p(j).
j*(j - 1)**2*(j + 5)/3
Solve 16/5*l**2 + 12/5*l + 4/5*l**3 + 0 = 0.
-3, -1, 0
Let c(l) be the first derivative of l**4/24 - l**3/4 + l**2/2 + 3*l - 2. Let u(d) be the first derivative of c(d). Factor u(o).
(o - 2)*(o - 1)/2
Let n(d) be the first derivative of 3*d**5/5 - 3*d**4/2 + d**3 + 8. Solve n(s) = 0 for s.
0, 1
Solve -4/3 + 5/6*b**2 + 3*b = 0.
-4, 2/5
Factor -6/5*q + 9/5*q**2 - 3/5*q**3 + 0.
-3*q*(q - 2)*(q - 1)/5
Suppose 31*f - f - 60 = 0. Suppose 0 - 2/9*l + 0*l**3 - 4/9*l**f + 2/9*l**5 + 4/9*l**4 = 0. Calculate l.
-1, 0, 1
Let n(a) be the third derivative of a**5/180 + a**2 - 17. Find d, given that n(d) = 0.
0
Let z(b) = -3*b**4 - 15*b**3 - 15*b**2 + 6*b + 9. Let g(h) = -h**4 - 7*h**3 - 7*h**2 + 3*h + 4. Let x = -11 + 7. Let t(f) = x*z(f) + 9*g(f). Factor t(r).
3*r*(r - 1)**2*(r + 1)
Factor 0*l + 4/5*l**4 + 0 + 0*l**3 - 16/5*l**2.
4*l**2*(l - 2)*(l + 2)/5
Suppose 3*m = 1 + 2. Let h(k) be the first derivative of m + 0*k**2 - k + 1/3*k**3. Let h(j) = 0. What is j?
-1, 1
Factor 4/11*t**2 - 2/11*t**3 - 4/11 + 2/11*t.
-2*(t - 2)*(t - 1)*(t + 1)/11
Let y(t) be the first derivative of t**7/840 + t**6/360 - t**5/60 + 2*t**3 + 2. Let f(b) be the third derivative of y(b). Factor f(m).
m*(m - 1)*(m + 2)
Suppose 0*g - 5*g + 15 = 0. Let -m - g + m**2 - m**3 + 2 + 2*m**3 = 0. Calculate m.
-1, 1
Factor -l**4 + 63*l**2 - 74*l**2 + 4*l + 6*l**3 + 2*l.
-l*(l - 3)*(l - 2)*(l - 1)
Let c(l) be the first derivative of -l**5/10 + l**4/8 + l**3/2 - l**2/4 - l - 6. Find i, given that c(i) = 0.
-1, 1, 2
Let y(c) be the third derivative of 17/160*c**6 + 1/4*c**5 - 1/14*c**7 + 0*c**3 + c**2 - 3/64*c**8 + 0*c + 0 + 1/8*c**4. What is j in y(j) = 0?
-1, -2/3, -2/7, 0, 1
Suppose 108*v = 99*v. Let v - 7/4*a**3 - 15/4*a**2 - 9/4*a - 1/4*a**4 = 0. Calculate a.
-3, -1, 0
Let c be 12/3 + -2 - -1. Suppose -c*n + 0 + 3 = 0. Factor 3*y**2 + y**3 - y + n - 5 - y**4 + 2.
-(y - 2)*(y - 1)*(y + 1)**2
Let q(o) be the second derivative of 4*o**6/15 - 3*o**5/5 + o**4/3 - 8*o. Solve q(p) = 0.
0, 1/2, 1
Let x(h) = 10*h**5 - 4*h**4 + 12*h**2 - 6*h. Let s(o) = -19*o**5 + 9*o**4 + o**3 - 23*o**2 + 11*o. Let c(y) = 4*s(y) + 7*x(y). Let c(a) = 0. What is a?
-1, 0, 1/3, 1
Suppose -24*k**2 - 25*k - 28*k**3 + 8*k**3 + 32 + 22*k - 4*k**4 + 19*k = 0. Calculate k.
-2, 1
Let p(c) be the second derivative of -c**7/7560 + c**6/1080 - c**5/360 + c**4/3 + c. Let k(y) be the third derivative of p(y). Suppose k(f) = 0. What is f?
1
Let h(l) = 8*l**2 - 7*l + 14. Let q(s) = -39*s**2 + 36*s - 69. Let w = -61 - -37. Let m(x) = w*h(x) - 5*q(x). Determine i, given that m(i) = 0.
1, 3
Let u(t) be the third derivative of -t**7/1680 + t**6/720 + t**3/2 - 2*t**2. Let o(z) be the first derivative of u(z). What is s in o(s) = 0?
0, 1
Let n(a) = a**2 - 11*a - 12. Let z be n(12). Determine l so that -11/5*l**4 + 2/5*l + 3*l**3 - 9/5*l**2 + 3/5*l**5 + z = 0.
0, 2/3, 1
Determine r, given that 2/3*r**5 - 2/3*r**4 + 0 + 2/3*r**2 - 2/3*r**3 + 0*r = 0.
-1, 0, 1
Let x(k) be the third derivative of 0*k + 0*k**3 + 1/80*k**6 + 5*k**2 + 0 + 0*k**4 + 1/40*k**5. Suppose x(o) = 0. What is o?
-1, 0
Factor 121 - 58 - 73 - 3*v + 6*v + v**2.
(v - 2)*(v + 5)
Let g be 3 - (-2)/(138/(-195)). Let x = g - -49/115. Factor q**4 - 2/5 + 7/5*q - x*q**2 - 7/5*q**3.
(q - 1)**2*(q + 1)*(5*q - 2)/5
Let t(c) = -99*c**3 - 251*