mine n, given that 4*n**3 - o*n**4 + 22*n**4 + 2*n**2 - 3*n - 2 - n**5 = 0.
-1, 1, 2
Solve 9*z**2 + 3*z**2 - 16*z + 10654*z**4 - 4*z**5 + 20*z**3 - 10666*z**4 = 0 for z.
-4, -1, 0, 1
Let f(o) = -o**2 + 8*o + 11. Let y be f(9). Let 8 - t**2 - 3*t**y + 2*t**2 = 0. Calculate t.
-2, 2
Let y(i) be the second derivative of -5*i**7/42 - 3*i**6/2 - 6*i**5 - 25*i**4/3 - 65*i + 1. What is l in y(l) = 0?
-5, -2, 0
Suppose 0 = t + 2, -t - 2*t - 1426 = -4*l. Let d = -1417/4 + l. Let -d*b**3 + 0 - 3/2*b - 9/4*b**2 = 0. What is b?
-2, -1, 0
Let u(r) = -17*r**2 - 10*r - 20. Let i(p) = 2*p**2 + 1. Let f(a) = -18*i(a) - 2*u(a). Find o such that f(o) = 0.
-1, 11
Let n(a) be the third derivative of 8*a**6/25 + 4*a**5/25 + a**4/40 - 71*a**2. Determine x, given that n(x) = 0.
-1/8, 0
Let m be 219/(-9)*-1 - 4. Let u = m + -17. Factor -u*d**2 - 14/3*d - 2 - 2/3*d**3.
-2*(d + 1)**2*(d + 3)/3
Let y = 247 + -6174/25. Let n = 6/25 - y. Let -n + 1/5*t**2 + 0*t = 0. What is t?
-1, 1
Let r(h) = -h**4 + h**3 + h**2 - 1. Suppose 3 + 6 = 3*k. Let c(s) = 2*s**4 + 3*s**3 - 2*s**2 - 3. Let l(t) = k*r(t) - c(t). Suppose l(d) = 0. Calculate d.
-1, 0, 1
Suppose 12*x - 19 = 29. Determine f so that -x*f - 10*f**2 - 14*f**5 - 111*f**3 + 129*f**3 + 20*f**2 - 10*f**4 = 0.
-1, 0, 2/7, 1
Let z = 14131/21 - 2017/3. Factor 2/7*u**3 + 2/7*u**2 - z*u + 0.
2*u*(u - 1)*(u + 2)/7
Let b be 10/(-3)*12/(-5). Let j be 2/b + (-22)/(-8). Solve -6*o + 18*o + 3*o**3 + j*o**2 - 15*o**2 = 0.
0, 2
Let u(x) = -9*x**3 + 60*x**2 + 57*x - 24. Let w(h) = -2*h**3 - 2*h**2 - h + 1. Let m(d) = -u(d) - 6*w(d). Factor m(b).
3*(b - 3)*(b + 1)*(7*b - 2)
Let m = -76 - -79. Let 4*o**2 - 3*o**2 + 4*o + 3*o**m + 8*o + 14*o**2 = 0. Calculate o.
-4, -1, 0
Let o(r) = -16*r**2 + 13*r + 10. Let m be o(-5). Let c be (14/3)/1*(-273)/m. What is k in 16/5*k - 8/5 - 2/5*k**2 + 2*k**4 - 2/5*k**5 - c*k**3 = 0?
-1, 1, 2
Determine q, given that 27/5*q**3 + 237/5*q - 369/5*q**2 - 39/5 = 0.
1/3, 13
Let p(s) = -s**3 + 7*s**2 - 8*s + 14. Let h = 125 - 119. Let d be p(h). Factor 4/3*k**3 + 2/3 + 0*k**d - 2/3*k**4 - 4/3*k.
-2*(k - 1)**3*(k + 1)/3
What is m in -338/5*m**5 + 2/5*m + 52/5*m**2 + 0 + 336/5*m**3 - 52/5*m**4 = 0?
-1, -1/13, 0, 1
Let s(i) = 33*i**2 + 99*i + 111. Let u(h) = h**3 - h**2 - 1. Let k(o) = s(o) + 3*u(o). Factor k(c).
3*(c + 3)**2*(c + 4)
Let k(v) be the first derivative of -v**8/840 + v**7/420 + v**6/180 - v**5/60 - v**3/3 - 4. Let z(x) be the third derivative of k(x). Find i such that z(i) = 0.
-1, 0, 1
Factor 5*n**2 - 33*n - 31*n**3 - 18*n**3 + 18 + 7*n**2 + 52*n**3.
3*(n - 1)**2*(n + 6)
Determine m so that 1/4*m**3 + 2*m - 1 - 5/4*m**2 = 0.
1, 2
Let f(x) = 4*x + 22. Let h be f(-5). Let s(d) = d + 2. Let l be s(0). Determine t so that t - 2 + t**3 - l*t**3 - 6*t**2 + 5*t**2 + 3*t**h = 0.
-1, 1, 2
Suppose 0 = -3*h - 3*o + 12, -8*o + 2 = 3*h - 10*o. Factor -11 - 2*q**3 - 4*q**h + 15 + 4*q - 2*q**3.
-4*(q - 1)*(q + 1)**2
Let x(d) be the first derivative of -d**5/20 - 9*d**4/8 - 7*d**3 + 49*d**2/4 + 1029*d/4 - 99. Factor x(q).
-(q - 3)*(q + 7)**3/4
Let d be 7/(-1) + (444/20)/3. Factor -d*w**4 + 0*w**2 + 2/5 + 4/5*w**3 - 4/5*w.
-2*(w - 1)**3*(w + 1)/5
Factor 10/13*v**3 - 38/13*v + 16/13*v**2 + 12/13.
2*(v - 1)*(v + 3)*(5*v - 2)/13
Let b(u) be the third derivative of u**8/112 - 2*u**7/35 + u**6/8 - u**5/10 - 3*u**2 - 17. Factor b(q).
3*q**2*(q - 2)*(q - 1)**2
Find p, given that 2/7*p**2 + 12/7 + 4/7*p**3 - 26/7*p = 0.
-3, 1/2, 2
Let p(g) be the first derivative of -g**4/42 + 4*g**3/21 + 5*g + 13. Let r(b) be the first derivative of p(b). Factor r(j).
-2*j*(j - 4)/7
Suppose 0*d - 2*d - 20 = m, 10 = 5*m. Let z = 13 + d. Factor -2*v**2 - 9*v**2 + 11*v**z + v - v**3.
-v*(v - 1)*(v + 1)
Let b(k) be the first derivative of -2*k**5/25 - 9*k**4/5 - 30. Let b(z) = 0. What is z?
-18, 0
Let v(u) = -57*u**3 + 3*u**2 + 6*u + 5. Let g be v(-4). Let z = 47825/13 - g. Suppose 8/13*k + 0 + 10/13*k**3 - z*k**2 = 0. Calculate k.
0, 2/5, 2
Let r(o) be the third derivative of 0 + 0*o**3 + 0*o + 0*o**4 + 8*o**2 + 1/30*o**6 - 7/15*o**5. Factor r(u).
4*u**2*(u - 7)
Factor -3*z**3 - 1 - 7*z - 8*z + 12*z**2 + 4 + 3.
-3*(z - 2)*(z - 1)**2
Let b(k) = -21 - 4*k - 5 + k + 2. Let p be b(-8). Determine i so that 8/5*i**3 - 6/5*i**2 - 2/5*i + p = 0.
-1/4, 0, 1
Let m(u) be the second derivative of 5*u**4/12 + 95*u**3/2 - 145*u**2 - 52*u - 2. Factor m(n).
5*(n - 1)*(n + 58)
Let h(g) be the second derivative of -g**7/168 + g**6/24 + g**5/6 + 5*g**3/6 - 15*g. Let f(m) be the second derivative of h(m). Factor f(y).
-5*y*(y - 4)*(y + 1)
Let x(l) be the first derivative of 0*l**3 - 5/3*l**6 + 0*l - l**4 + 34 + 0*l**2 + 14/5*l**5. Factor x(f).
-2*f**3*(f - 1)*(5*f - 2)
Let w(x) be the second derivative of -x**6/10 + 9*x**4/4 + 2*x**3 - 18*x**2 - 137*x. Factor w(h).
-3*(h - 3)*(h - 1)*(h + 2)**2
Determine i, given that -2/3*i**3 + 0*i + 2/9*i**5 + 0 + 8/9*i**4 - 4*i**2 = 0.
-3, 0, 2
Let z(v) = 2*v - 3. Suppose 0*c + 14 = 2*c. Let b be z(c). Solve 3*a**5 + a**3 + b*a**3 - 2*a**5 + 6*a**4 + 10*a**2 - 2*a**2 = 0.
-2, 0
Suppose -12*g = -17*g + 15. Suppose 3*h - 3*t = g - 9, 0 = 3*t - 6. Factor h - 3*d**2 + 21/5*d**3 + 3/5*d - 9/5*d**4.
-3*d*(d - 1)**2*(3*d - 1)/5
Let o be 6/14 + (-21)/49. Let i(w) be the second derivative of o + 9/4*w**4 + 2/3*w**2 - 16/9*w**3 - 73/60*w**5 + 9*w + 2/9*w**6. Find b such that i(b) = 0.
1/4, 2/5, 1, 2
Let n(v) be the second derivative of 0 - v - 7/135*v**6 + 0*v**3 + 1/63*v**7 + 0*v**2 + 0*v**4 + 1/45*v**5. What is p in n(p) = 0?
0, 1/3, 2
Let x(v) be the first derivative of 2*v**3/3 - 47*v**2 + 546. Determine i so that x(i) = 0.
0, 47
Let d = 1829/5 + -365. Let s = 211/490 - 3/98. Let d*q**2 + s*q**3 + 0 + 0*q = 0. What is q?
-2, 0
Let t(a) = -14 + 72*a - 4*a**3 - 23*a**2 - 2 - 21*a**3 - 57*a**2. Let z(c) = -c. Let b(f) = -5*t(f) + 20*z(f). Solve b(x) = 0.
-4, 2/5
Determine d so that 198*d - 302*d - 4*d**3 - 4 - 108*d**2 + 4 = 0.
-26, -1, 0
Let r(c) = c**3 - 251*c**2 + 987*c + 9. Let a be r(4). Factor -7/4*g**4 + 19/4*g**3 - 1 + 1/4*g**a + 4*g - 25/4*g**2.
(g - 2)**2*(g - 1)**3/4
Let x(r) = -r**4 - 3*r**3 + r**2 - r - 2. Let a be 4/3*60/(-40). Let f(t) = 3*t**4 + 6*t**3 - t**2 + 2*t + 5. Let n(z) = a*f(z) - 5*x(z). Factor n(i).
-i*(i - 1)**3
Determine s, given that -3*s + 3/5*s**2 + 18/5 = 0.
2, 3
Let -26/5 + 2/5*z**3 + 54/5*z - 6*z**2 = 0. Calculate z.
1, 13
Let k(u) be the third derivative of 10*u**2 + 0*u + 32/3*u**3 + 52/3*u**4 + 0 + 169/15*u**5. Factor k(f).
4*(13*f + 4)**2
Let h(d) be the third derivative of -9*d**8/448 + 27*d**7/280 - 3*d**6/16 + 23*d**5/120 - 11*d**4/96 + d**3/24 + 2*d**2. Factor h(t).
-(t - 1)**2*(3*t - 1)**3/4
Let b(t) = -5*t**3 - 7*t**2 + 8*t + 4. Let h(s) = -14*s**3 - 19*s**2 + 22*s + 11. Let f(q) = -11*b(q) + 4*h(q). Factor f(k).
-k**2*(k - 1)
Let f(b) be the second derivative of -b**6/6 + b**5/4 + 25*b**4/12 + 5*b**3/2 + 2*b + 90. Let f(p) = 0. Calculate p.
-1, 0, 3
Suppose -i + 2 = -2*q - 3*i, -5*i = -2*q + 26. Solve -24*y**q - 45*y**4 + 2*y**2 - 8*y**2 + 14*y**3 - 23*y**3 = 0.
-2/5, -1/3, 0
Let y = -435609/113 + 3855. Let b = 184/791 + y. Find r such that -2/7 - b*r**2 - 4/7*r = 0.
-1
Let u = -6 + 54. Let z = 53 - u. Factor 0*r - 1/3*r**z + r**4 + 0 + 1/3*r**2 - r**3.
-r**2*(r - 1)**3/3
Let v(a) = -5*a**3 + 18*a**2 + 4. Let b(s) = -4*s**3 + 18*s**2 + 3. Let p(f) = -4*b(f) + 3*v(f). Let l be p(18). Factor -3/2*c**3 + 0*c**2 + l + 3/2*c.
-3*c*(c - 1)*(c + 1)/2
Let l = 825 - 821. Let v(g) be the third derivative of 1/270*g**5 + 0*g + 0 + 1/27*g**3 + 3*g**2 + 1/54*g**l. Factor v(d).
2*(d + 1)**2/9
Let n(m) = -m**2 + 5*m + 4. Let j = -16 + 21. Let q be n(j). Determine g so that 2*g**3 - q*g**2 + 16*g + 8 + 6*g**2 + 12*g**2 - 4*g**2 = 0.
-2, -1
Factor -9*y**3 - 5*y**4 + 3*y**3 + 16*y + 3*y**4 + 12*y**2.
-2*y*(y - 2)*(y + 1)*(y + 4)
Let b(q) = 42*q**2 - 20*q**2 + 3*q**2 - 32*q + 11. Let l(x) = -100*x**2 + 129*x - 45. Let y(h) = 9*b(h) + 2*l(h). Let y(i) = 0. Calculate i.
3/5
Let w = 5210/77 - 466/7. Factor 10/11*h**2 + 2/11 + w*h.
2*(h + 1)*(5*h + 1)/11
Let j(i) = 6*i**4 - 6*i**2 + 11*i - 11. Let q = 59 - 92. Let d(u) = u**4 - u**2 + 2*u - 2. Let p(s) = q*d(s) + 6*j(s). Factor p(k).
3*k**2*(k - 1)*(k + 1)
Suppose 0 = 148*z - 82*z + 125 - 323. Factor 0 + 16*w + 1/4*w**z - 4*w**2.
w*(w - 8)**2/4
Let p(d) be the