**5 + 20*x**4 + 4*x**3 - 4*x**2 - 8*x + 8. Let a(n) = 8*m(n) + 5*w(n). Solve a(s) = 0.
-1, 0, 1
Factor 17*h**2 + 11 + 450*h**4 - 47 - 451*h**4 - h**3 + 21*h.
-(h - 4)*(h - 1)*(h + 3)**2
Suppose 2*x - 7*x = 0. Let v(b) be the second derivative of 1/15*b**6 + 1/30*b**5 + 2/63*b**7 + 0 + x*b**4 + 0*b**3 - 9*b + 0*b**2. Let v(z) = 0. Calculate z.
-1, -1/2, 0
Let p(u) be the third derivative of u**7/105 + u**6/10 + 3*u**5/10 + u**4/3 + 2*u**2 + 36*u. Factor p(y).
2*y*(y + 1)**2*(y + 4)
Let l(k) be the first derivative of -5/3*k**3 - 2*k**2 + 1/10*k**5 - 5*k - 1/2*k**4 + 1/15*k**6 + 3. Let g(h) be the first derivative of l(h). Solve g(p) = 0.
-1, 2
Let y(s) be the third derivative of s**9/90720 + s**8/5040 + s**7/840 + s**6/270 + 2*s**5/15 - 9*s**2. Let p(q) be the third derivative of y(q). Factor p(n).
2*(n + 1)**2*(n + 4)/3
Let u = 16 - 9. Let r(c) be the second derivative of 0*c**2 - 6*c + 1/20*c**5 + 0*c**3 + 1/126*c**u + 1/30*c**6 + 1/36*c**4 + 0. Factor r(k).
k**2*(k + 1)**3/3
Let m(i) be the second derivative of i**5/90 - i**4/9 + i**3/3 - 4*i**2/9 + 97*i. Factor m(h).
2*(h - 4)*(h - 1)**2/9
Suppose -105*v**2 - 146*v**2 - 240 + 256*v**2 + 235*v = 0. What is v?
-48, 1
Let t(g) = g**4 - g**3 - g**2 - g. Let o be (-1 + (-10)/(-15))*-6. Let r(j) = -j**4 + 2*j**2 + 4*j - 1. Let d(p) = o*t(p) + r(p). Let d(q) = 0. What is q?
-1, 1
Let n(f) be the third derivative of 2*f**7/105 + 9*f**6/10 + 5*f**5 + 73*f**4/6 + 16*f**3 - 601*f**2. Factor n(q).
4*(q + 1)**3*(q + 24)
Let i be 97/(-291) - (-10)/24. Let m(t) be the third derivative of 0*t + i*t**4 - 1/6*t**3 - 1/60*t**5 - 7*t**2 + 0. Suppose m(o) = 0. What is o?
1
Let r(z) = 219*z**2 - 381*z + 6. Let o(c) = -214*c**2 + 381*c - 6. Let a(i) = -6*o(i) - 5*r(i). Solve a(d) = 0 for d.
1/63, 2
Let m(j) = -31*j**3 - 1329*j**2 - 23111*j - 21780. Let d(q) = 8*q**3 + 332*q**2 + 5778*q + 5445. Let v(r) = 11*d(r) + 3*m(r). Suppose v(l) = 0. Calculate l.
-33, -1
Let o(p) be the third derivative of p**8/2016 + 5*p**7/1008 + 7*p**6/432 + p**5/48 - 2*p**3/3 - 32*p**2. Let i(g) be the first derivative of o(g). Factor i(n).
5*n*(n + 1)**2*(n + 3)/6
Let p(n) be the second derivative of n**4/8 + 73*n**3 + 15987*n**2 + 4*n - 37. Let p(j) = 0. Calculate j.
-146
Let w(f) be the second derivative of 1/21*f**4 - 2/7*f**2 - 17*f - 1/35*f**5 + 2/21*f**3 + 0. Solve w(z) = 0.
-1, 1
Suppose 2*g - 6 = y, -2*g - 2*y + 7*y = -14. Let u(k) be the second derivative of 1/4*k**4 - 3/2*k**g + k + 0 + 0*k**3. Suppose u(c) = 0. Calculate c.
-1, 1
Suppose -22*x = -9*x - 65. Suppose 0 = f + 2*o + 2*o - 23, x*f = -2*o + 25. Factor -19/2*s - 4*s**2 - f + 5/2*s**3.
(s - 3)*(s + 1)*(5*s + 2)/2
Let i(x) be the first derivative of -180*x**4 + 572*x**3/3 + 78*x**2 - 8*x - 67. Determine l so that i(l) = 0.
-1/4, 2/45, 1
Let h(s) = s - 2. Let i = 8 + -4. Let t be h(i). Factor 1 + 0*q**2 - 9*q - 5 - 3*q**t - 2.
-3*(q + 1)*(q + 2)
Suppose 10880*o - 10840*o = 0. Factor 0*m**2 - 16/9*m**4 + 0*m**3 + 0 + o*m + 2/9*m**5.
2*m**4*(m - 8)/9
Let t(l) be the third derivative of -1/600*l**6 - 12*l**2 + 0*l**4 + 0*l + 0*l**3 - 1/150*l**5 + 0. What is r in t(r) = 0?
-2, 0
Let l(n) be the third derivative of n**7/315 - 7*n**6/180 + n**5/10 + 2*n**4/3 - 9*n**2. Let z(j) be the second derivative of l(j). What is w in z(w) = 0?
1/2, 3
Let r(g) = -20*g**5 - 24*g**4 + 172*g**3 - 128*g**2 - 16. Let l(y) = 13*y**5 + 16*y**4 - 114*y**3 + 85*y**2 + 10. Let p(c) = 8*l(c) + 5*r(c). Factor p(i).
4*i**2*(i - 2)*(i - 1)*(i + 5)
Let p(k) be the second derivative of 29/6*k**6 - 6*k**5 - 15/14*k**7 + 0*k**2 + 5/3*k**4 + 0 - 39*k + 0*k**3. Find t, given that p(t) = 0.
0, 2/9, 1, 2
Let k = -16 + 18. Suppose -q - 4*m + 1 + 3 = 0, 4*m = -k*q + 8. Solve -2*t + 2*t**3 + 0*t**4 + t**4 - 4*t - 1 + q*t = 0.
-1, 1
Suppose 31*z = 53*z. Let l(v) be the second derivative of -3/2*v**4 + z + 0*v**3 - 6/5*v**5 - 3/10*v**6 + 3/2*v**2 + 4*v. Let l(h) = 0. What is h?
-1, 1/3
Factor 77 - 44*v - 10*v + v**2 + 5*v - v - 28*v.
(v - 77)*(v - 1)
Let c(o) be the second derivative of 5*o**5/22 - 5*o**4/6 + 13*o**3/11 - 9*o**2/11 - 87*o. Determine m, given that c(m) = 0.
3/5, 1
Let d(l) be the third derivative of l**6/60 + 9*l**5/40 + 17*l**4/48 - l**3/2 - 317*l**2. Find w such that d(w) = 0.
-6, -1, 1/4
Let l(o) = o + 2. Let a be l(2). Factor x + 4 - 2*x**3 + x + x**a - 5.
(x - 1)**3*(x + 1)
Let d(x) be the second derivative of 0*x**4 - 1/42*x**7 + 0*x**2 + 0*x**3 + 5*x - 1/20*x**5 + 0 - 1/15*x**6. Determine a so that d(a) = 0.
-1, 0
Let r(v) be the second derivative of v**8/2800 - v**6/300 + v**4/40 - 10*v**3/3 - 17*v. Let q(p) be the second derivative of r(p). Let q(l) = 0. Calculate l.
-1, 1
Suppose 3*y + 7 = 97. Suppose -31*p**3 + p**2 - 3*p**2 + y*p**3 - p = 0. Calculate p.
-1, 0
Factor 632/3*z - 2/3*z**2 - 49928/3.
-2*(z - 158)**2/3
Let a(o) = -o**2 - 69*o + 6. Let r(z) = -z**2 + z + 1. Let q(h) = a(h) - 6*r(h). Let q(t) = 0. Calculate t.
0, 15
Let k(h) be the first derivative of -2*h**6/3 - 2*h**5/3 + 10*h**4 - 40*h**3/3 + 16*h**2/3 - 48. Find l, given that k(l) = 0.
-4, 0, 1/2, 2/3, 2
Let h(t) be the third derivative of t**6/30 - 2*t**5/5 + 5*t**4/6 - 925*t**2. Determine r so that h(r) = 0.
0, 1, 5
Let u(g) be the second derivative of g**5/50 + g**4/10 - 2*g**3/5 - 8*g**2/5 + 66*g. Factor u(z).
2*(z - 2)*(z + 1)*(z + 4)/5
Let x(q) = q**3 - 3*q**2 + 4*q - 4. Suppose -5*r + 11 = -v, -2*r + 4*v - 1 = -9. Let c be x(r). Factor 0*i**2 - 1/7*i**3 + 1/7*i**4 + c + 0*i.
i**3*(i - 1)/7
Let d(b) be the first derivative of b**5/2 + 35*b**4/4 + 75*b**3/2 + 65*b**2 + 50*b - 54. Determine k so that d(k) = 0.
-10, -2, -1
Let o be (2/(-10))/(2 + (-93)/45). Let i(q) be the second derivative of -o*q**2 + 0 + 5/2*q**3 - 3/4*q**4 - 5*q. Determine b so that i(b) = 0.
2/3, 1
Let d be (3 + -4)*-1 + 2. Suppose 0 = -5*z - 2*j + 3 + 22, 2*z - 3*j = -9. Factor -6*a + 4*a**2 - d*a**z + 11*a**3 + 0*a**3 - 4 - 2*a**5.
-2*(a - 2)*(a - 1)*(a + 1)**3
Let c(r) be the second derivative of r**7/21 - 3*r**6/5 + 7*r**5/5 + 53*r. Determine t, given that c(t) = 0.
0, 2, 7
Let j(v) = 19*v**2 + v - 5. Let k(g) = -9*g**2 + 3. Let c = -20 - -33. Let t(x) = c*k(x) + 6*j(x). Factor t(u).
-3*(u - 3)*(u + 1)
Let t(m) = -3*m**4 + 17*m**3 + m**2 - 15*m - 3. Let f(h) = -2*h**4 + 16*h**3 + 2*h**2 - 16*h - 4. Let d(n) = -3*f(n) + 4*t(n). Let d(g) = 0. Calculate g.
-2/3, 0, 1, 3
Let f(h) be the second derivative of -2*h**6/135 - 2*h**5/15 - 4*h**4/9 - 20*h**3/27 - 2*h**2/3 + 55*h + 2. Determine x, given that f(x) = 0.
-3, -1
Let 28/3 - 5*f + 1/6*f**2 = 0. Calculate f.
2, 28
Let f(j) be the first derivative of -j**5/20 + j**4/6 - j**3/6 + 12*j + 5. Let u(m) be the first derivative of f(m). Factor u(z).
-z*(z - 1)**2
Let c = 1018 + -1018. Let v(g) be the first derivative of -1/14*g**4 + c*g**3 + 4/7*g + 3/7*g**2 + 1. Find l, given that v(l) = 0.
-1, 2
Let o(k) be the first derivative of -5/4*k**4 - 13 - 15/2*k**2 + 5*k + 5*k**3. Suppose o(w) = 0. Calculate w.
1
Let x be (-24)/(-90)*(-3)/((-6)/40). Let w be (6/(-36))/(4/(-16)). Factor -w*f**5 + 14/3*f + 4/3*f**3 + x*f**2 + 4/3 - 4/3*f**4.
-2*(f - 2)*(f + 1)**4/3
Determine f so that -37/3*f**2 + 4/3*f**3 - 12 + 1/3*f**4 + 68/3*f = 0.
-9, 1, 2
Suppose 5*s + o - 18 + 1 = 0, -2*s + 4*o - 2 = 0. Let s*z - 4*z - 6 + 6 - z**2 = 0. What is z?
-1, 0
Suppose -16/3*b + 0 - 8/3*b**2 - 1/3*b**3 = 0. What is b?
-4, 0
Suppose 5*p + 4*z + 10 = -z, 2*p + 3 = -z. Let y be (14 - 10) + (-1 - p). Determine h so that 0*h**3 - 4/5*h**y + 0*h**2 - 2/5*h**5 + 0*h + 0 = 0.
-2, 0
Suppose -5*z = -20 + 5. Let g(p) be the second derivative of -1/6*p**4 + 5*p + 0*p**2 + 0 - 1/3*p**z. Factor g(q).
-2*q*(q + 1)
Factor 0 + 8/3*t**3 + 0*t**2 + 7/3*t**4 - 1/3*t**5 + 0*t.
-t**3*(t - 8)*(t + 1)/3
Let h(q) = q**2 - q. Let m be (2/(-4))/(18/(-108)). Let x(r) = 2*r**2 - 15*r - 36. Let v(g) = m*h(g) - x(g). Factor v(w).
(w + 6)**2
Let u = 23628 - 259898/11. Find c, given that 12/11 - 2/11*c**2 - u*c = 0.
-6, 1
Let j(g) = 65*g**4 + 115*g**3 + 205*g**2 + 125*g + 45. Let o(b) = -16*b**4 - 29*b**3 - 51*b**2 - 31*b - 11. Let m(q) = -6*j(q) - 25*o(q). Factor m(y).
5*(y + 1)**3*(2*y + 1)
Let j = -680 - -685. Let s(o) be the second derivative of -4/3*o**3 - 7/3*o**4 + 0*o**2 + 0 + j*o. Factor s(w).
-4*w*(7*w + 2)
What is l in 28*l**3 - 151*l + 16*l**5 