culate z.
-9, -7
Let x be (-1)/((-55)/10 - 5/(-1)). Let o(n) be the first derivative of -1/4*n**4 - n - 3/2*n**x - n**3 + 1. Solve o(v) = 0.
-1
Let n(y) = y**3 - y**2 + 3. Let c be n(2). Suppose 3*m = -c + 16. Factor 0*i**2 - 1/3*i + 0 + 1/3*i**m.
i*(i - 1)*(i + 1)/3
Let f(s) be the first derivative of 2*s**3/9 + 2*s**2 - 32*s/3 + 42. Factor f(z).
2*(z - 2)*(z + 8)/3
Let c = 11 + -8. Suppose -5*a = -2*g + 67, 0 = -c*g - a + 75 - 17. Factor -18*t**3 - 10*t + 2*t**2 - 4 + g*t**2 + 10*t**2 - t**2.
-2*(t - 1)**2*(9*t + 2)
Let c(o) be the second derivative of -o**7/20160 + o**6/360 - o**5/15 - 11*o**4/4 + 36*o. Let p(v) be the third derivative of c(v). Factor p(k).
-(k - 8)**2/8
Let z(o) = -o**3 - 4*o**2 - 39*o + 32. Let s(u) = -6*u**3 - 27*u**2 - 273*u + 225. Let x(c) = -4*s(c) + 27*z(c). Determine l, given that x(l) = 0.
-4, 1, 3
Let s(g) = g**2 - 7*g - 1. Let i be s(8). Suppose 24 = 2*k + 3*b, -b = -k + 4 - 2. Factor 2*o**2 - i*o**3 - k*o + 5*o**2 + 2*o**4 + 4*o.
o*(o - 2)*(o - 1)*(2*o - 1)
Let n(t) be the third derivative of t**6/40 + 27*t**5/20 + 13*t**4/4 + 2*t**2 - 34*t. Solve n(p) = 0.
-26, -1, 0
Let o(w) = -5*w - 11. Suppose -2*u + d = 1, d - 6*d = 5*u + 40. Let t be o(u). Find c, given that -1/5*c**5 + 3/5*c - 1/5 - 2/5*c**2 + 3/5*c**t - 2/5*c**3 = 0.
-1, 1
Let i(a) be the second derivative of -a**4/72 + 5*a**3/36 - a**2/2 - 2*a + 12. Factor i(c).
-(c - 3)*(c - 2)/6
Let o be (351/988 - 4/38)/2. Solve 0*k**2 + 1/4*k**3 - 1/4*k - 1/8*k**4 + o = 0.
-1, 1
Suppose -5*j = 3*k + 11 - 16, -j + 1 = -k. Let u(l) be the third derivative of -4*l**2 - 1/3*l**3 - 1/8*l**4 + 0*l + k + 1/12*l**5. What is c in u(c) = 0?
-2/5, 1
Suppose 52 - 12*r**4 + 60*r - 100*r**3 - 156*r**3 - 135*r**2 + 28*r + 108 - 181*r**2 = 0. What is r?
-20, -1, 2/3
Let z(r) = r + 6. Let j be z(-3). What is n in 1 + n**2 - 4*n**3 + j*n**2 - 5 + 4*n = 0?
-1, 1
Let k(x) be the third derivative of -x**6/72 - x**5/3 - 10*x**4/3 - 7*x**3/3 - 19*x**2. Let j(z) be the first derivative of k(z). Factor j(a).
-5*(a + 4)**2
Determine z so that 3/4*z**2 - 9/2*z - 81/4 = 0.
-3, 9
Let l(z) be the second derivative of z**5/10 + z**4/24 - z**3/3 - z**2/4 + 507*z. Determine i so that l(i) = 0.
-1, -1/4, 1
Let v(j) be the second derivative of -4*j + 0 + 0*j**2 + 0*j**5 - 1/18*j**4 + 2/27*j**3 + 1/135*j**6. Factor v(d).
2*d*(d - 1)**2*(d + 2)/9
Let t(v) be the first derivative of v**4/30 + 4*v**3/3 + 19*v**2/5 + 56*v/15 + 223. Factor t(w).
2*(w + 1)**2*(w + 28)/15
Let s(p) be the first derivative of -p**6/6 - 8*p**5/5 - 6*p**4 - 34*p**3/3 - 23*p**2/2 - 6*p + 64. Find j such that s(j) = 0.
-3, -2, -1
Let l = -10 + 11. Let j be ((-2 - 0)*-1)/l. Solve -2*g**2 + g**3 + 10*g - 5*g - 4*g + 0*g**j = 0.
0, 1
Let a be (-3 - (-34)/12) + 21509/4710. Factor 2/5*s**5 + 4/5*s**2 - a*s + 2 - 14/5*s**4 + 4*s**3.
2*(s - 5)*(s - 1)**3*(s + 1)/5
Let v(m) = -14*m**3 + 47*m**2 - 55*m - 22. Let n(l) = 5*l**3 - 15*l**2 + 18*l + 8. Let g(t) = 11*n(t) + 4*v(t). Factor g(q).
-q*(q - 22)*(q - 1)
Let n(t) be the second derivative of t**5/4 - 135*t**4/4 + 2925*t**3/2 - 22815*t**2/2 - 737*t. Solve n(v) = 0.
3, 39
Let l = 34 - -8. Suppose 46*p - l*p - 12 = 0. Factor 2*h + 10*h**5 + 9*h**4 - 35*h**4 - 2*h**5 + 30*h**p - 14*h**2.
2*h*(h - 1)**3*(4*h - 1)
Let d(b) be the first derivative of -b**5/10 - b**4/3 + b**3 - 10*b - 7. Let g(r) be the first derivative of d(r). Factor g(a).
-2*a*(a - 1)*(a + 3)
Let o = -94 - -97. Let j(v) be the first derivative of 1/8*v**6 - 3/16*v**4 + 0*v**o + 0*v + 4 + 0*v**5 + 0*v**2. Factor j(b).
3*b**3*(b - 1)*(b + 1)/4
Let s(l) = -3*l**3 - 1131*l**2 - 147561*l - 6291456. Let u(p) = -p**2 + 5*p. Let f(b) = s(b) + 21*u(b). Determine z so that f(z) = 0.
-128
Let j = 33 + -30. Factor 10 - 10 - 3*s**3 - j*s**2.
-3*s**2*(s + 1)
Let v(m) = -3*m**3 - 2*m**2 - 6*m - 4. Let x = 91 - 92. Let w be v(x). Suppose 2/11*u**4 + 4/11*u**w - 4/11*u - 2/11 + 0*u**2 = 0. Calculate u.
-1, 1
Let m = 59 + -57. Suppose -3*p - 8 = -m*r, 5*r - p = 6 + 14. Factor 0*g + 33/2*g**3 + 0 + 21/2*g**5 - 24*g**r - 3*g**2.
3*g**2*(g - 1)**2*(7*g - 2)/2
Let q(n) = -2*n**2 - 16*n + 38. Let p be q(-10). Let w be (-9)/p*(-32)/(-48). Factor -4/15*s**2 - 2/15 + 2/5*s**4 - 2/15*s**5 + 2/5*s - 4/15*s**w.
-2*(s - 1)**4*(s + 1)/15
Factor 38/7*x - 2/7*x**2 - 20.
-2*(x - 14)*(x - 5)/7
Let x(r) = -4*r**5 + 4*r**4 + 4*r**3 + 12*r**2 + 8*r - 8. Let j be 4 + 1/(5/(-60)). Let h(l) = -l**4 - l**2 - l + 1. Let b(c) = j*h(c) - x(c). Factor b(u).
4*u**2*(u - 1)*(u + 1)**2
Let k = -1023 + 7141/7. Let z = -33/14 - k. Determine a so that 1/2 - 1/2*a - z*a**2 + 1/2*a**3 = 0.
-1, 1
Let x(r) be the second derivative of -19*r**5/120 - r**4/2 - 5*r**3/12 + r**2/6 + 3*r + 2. Factor x(w).
-(w + 1)**2*(19*w - 2)/6
Suppose -g + 12 = -11. Let z = 118/5 - g. Solve -3/5*t**3 + 0 + 3/5*t**4 - 3/5*t**2 + z*t**5 + 0*t = 0 for t.
-1, 0, 1
Factor 0 + 2/5*u**4 - 2/5*u**3 - 2/5*u**2 + 2/5*u.
2*u*(u - 1)**2*(u + 1)/5
Let 0 + 25/2*m**2 + 5/4*m**3 + 0*m = 0. What is m?
-10, 0
Let o(p) be the first derivative of -1/9*p**3 - 2/3*p**2 - 39 + 0*p. Factor o(c).
-c*(c + 4)/3
Determine n, given that 1/2*n**2 + 49/2 + 25*n = 0.
-49, -1
Let o = 3927 - 3925. Factor -o*f**2 + 8/7 + 8/7*f + 4/7*f**3.
2*(f - 2)**2*(2*f + 1)/7
Factor 2/3*x**2 + 0 + 2/9*x**3 + 4/9*x.
2*x*(x + 1)*(x + 2)/9
Let d(o) = -o**2 - o + 3. Let q be d(0). Let j be ((-3 - -2) + 1)/q. Solve 0*a**2 - 2/5*a**5 + j + 2/5*a**4 + 0*a**3 + 0*a = 0 for a.
0, 1
Let q(o) be the first derivative of 847*o**6/27 - 1562*o**5/45 - 910*o**4/9 - 160*o**3/27 + 128*o**2/9 + 32*o/9 + 87. Solve q(t) = 0 for t.
-1, -2/11, 2/7, 2
Suppose -d + 15 = -3*z + 10, -2*d - 4*z = 0. Factor -8/15*c + 8/15 + 2/15*c**d.
2*(c - 2)**2/15
Suppose -5*n = -6*n + 2. Let u(p) = -3*p**n - 4*p - 3 - 2*p**3 + 4*p + 1. Let s(y) = 4*y**3 + 6*y**2 + 5. Let o(v) = 3*s(v) + 7*u(v). Let o(a) = 0. Calculate a.
-1, 1/2
Let u(v) = -v**2 - v - 1. Let o(x) = -309*x**2 + 10 - 307*x**2 + 624*x**2 + 1 + 10*x. Let d(a) = -4*o(a) - 36*u(a). Factor d(t).
4*(t - 2)*(t + 1)
Let z(w) be the second derivative of -w**5/105 - w**4/6 + 16*w**3/21 - w**2/2 + 15*w. Let d(p) be the first derivative of z(p). Factor d(t).
-4*(t - 1)*(t + 8)/7
Let d(k) be the second derivative of -1/36*k**4 + 0 + 1/6*k**3 - 1/180*k**5 + 4*k + 3*k**2. Let p(w) be the first derivative of d(w). Factor p(g).
-(g - 1)*(g + 3)/3
Suppose 0 = -206*g + 201*g + 10. Determine n, given that 15 - 5 - 5*n**g + 12 + 30*n + 13 = 0.
-1, 7
Let g(i) = -11*i**3 - 2*i - 1. Let s be g(-1). Let f be -4 - (1 + (-68)/s). Determine t, given that -4/3*t - f*t**5 + 2/3*t**2 + 0 + 2*t**3 - 2/3*t**4 = 0.
-2, -1, 0, 1
Let i(x) = 5*x**3 + 62*x**2 - 217*x - 4. Let g(f) = -6*f**3 - 63*f**2 + 222*f + 6. Let t(b) = 2*g(b) + 3*i(b). Determine p, given that t(p) = 0.
-23, 0, 3
Let i(o) = -5*o**3 + 13*o**2 + 43*o + 25. Let j(a) = -85*a**3 + 220*a**2 + 730*a + 425. Let t(w) = 35*i(w) - 2*j(w). Factor t(s).
-5*(s - 5)*(s + 1)**2
Solve -4*r**3 - 4 - 16*r - 13*r**2 - 3*r**2 + 4 = 0.
-2, 0
Let l(f) = -f**2 + 4*f - 1. Let o be l(3). Suppose o*i + k - 4 = 0, -k - k = i + 4. Factor -21*w**2 + 21*w**2 - 2*w**i - 2*w**3.
-2*w**3*(w + 1)
Let z(d) be the second derivative of 1/3*d**4 + 0 + d + 2*d**3 + 0*d**2. Determine q so that z(q) = 0.
-3, 0
Let t(l) be the third derivative of 9*l**2 + 0 + 0*l - 2*l**3 + 7/8*l**4 - 3/20*l**5. Factor t(q).
-3*(q - 1)*(3*q - 4)
Suppose 126 = 20*c + 66. Let t(m) be the first derivative of 5*m**2 - 5 + 2*m + 8/3*m**c. Solve t(k) = 0.
-1, -1/4
Let r(t) be the second derivative of 0 - 5*t + 1/120*t**5 - 1/16*t**4 + t**2 + 1/6*t**3. Let h(g) be the first derivative of r(g). Find x such that h(x) = 0.
1, 2
Factor -f**2 + 3/2*f - 3/2*f**3 - 1/4*f**4 + 5/4.
-(f - 1)*(f + 1)**2*(f + 5)/4
Suppose 4 + 2*y**2 - 13*y**2 + 11*y**2 - 12*y - 4*y**5 + 9*y**4 - 19*y**2 + 10*y**3 = 0. Calculate y.
-1, 1/4, 2
Let a(f) be the first derivative of -2*f**4 + 3*f**3 - f**2/2 - 3*f - 9. Let g(l) = -8*l**3 + 8*l**2 - 4. Let j(s) = 4*a(s) - 3*g(s). Solve j(x) = 0 for x.
0, 1/2, 1
Let z(h) be the third derivative of h**8/2016 + 2*h**7/315 + h**6/36 + h**5/36 - 7*h**4/48 - h**3/2 - 34*h**2 - 3*h. What is u in z(u) = 0?
-3, -2, -1, 1
Let s(x) = x**5 + x**4 + x**2 + 1. Let i(b) = -5*b**5 - 4*b**4 + 19*b**3 + 26*b**2 - 4. Let p(v) = -i(v) - 4*s(v). Determine