*2 - 9*h - 18. Let a be n(11). Factor 9*m**2 - m**2 + 64*m**5 + 8*m - 4*m - 68*m**5 - 8*m**a.
-4*m*(m - 1)*(m + 1)**3
Let o(b) be the second derivative of -b**9/3024 - b**8/840 - b**7/840 + 4*b**3/3 - 8*b. Let y(k) be the second derivative of o(k). What is s in y(s) = 0?
-1, 0
Determine p, given that -20/13*p + 42/13 + 2/13*p**2 = 0.
3, 7
Determine f so that 0 - 5/4*f**2 - 7*f**4 + 7/2*f - 197/4*f**3 = 0.
-7, -2/7, 0, 1/4
Let c(k) be the third derivative of -k**8/1176 + 11*k**7/735 - k**6/12 + 5*k**5/42 + 151*k**2. Factor c(i).
-2*i**2*(i - 5)**2*(i - 1)/7
Suppose 4*t = -4, 0 = 4*n - 3*t - 6 - 13. Let u be (6 + -1)*136/340. Determine a so that 1/9*a**5 + 2/9*a**3 + 1/3*a**n - 2/9*a**u - 1/3*a - 1/9 = 0.
-1, 1
Let h = 39 + -25. Factor h*p - 16*p + 18*p + 4*p**2 + 10 + 2.
4*(p + 1)*(p + 3)
Factor -34/9*f - 4/9*f**2 + 110/9.
-2*(f + 11)*(2*f - 5)/9
Suppose 5*k + 0 - 25 = 0. Determine y so that y**k + 3*y**3 + y**3 - 3*y**3 - y**4 - y**4 = 0.
0, 1
Let l be ((-2)/14)/((-16)/(241 - 17)). Factor -1/7*j + 1/7*j**l - 2/7.
(j - 2)*(j + 1)/7
Suppose 0 = -q + 5*p - 20, -4*q - 4*p + 18 = 2. Let j(u) be the third derivative of -3*u**2 + q*u + 1/30*u**5 + 0*u**3 + 1/30*u**6 + 0 - 1/12*u**4. Factor j(a).
2*a*(a + 1)*(2*a - 1)
Let m be (-1)/(-2)*34 - 4. Let l = m + -37/3. Factor l*i + 0 + 2/9*i**2.
2*i*(i + 3)/9
Suppose -3993/2 - 231*a**2 + 1210*a + 18*a**3 - 1/2*a**4 = 0. Calculate a.
3, 11
Suppose c - 3*y + 16 = 0, -116 = c + 5*y - 148. Determine a, given that 2/3*a - 2/3*a**3 - 2/3*a**4 + c*a**2 - 4/3 = 0.
-2, -1, 1
Solve -27*l - 45/4 - 1/4*l**4 - 5*l**3 - 41/2*l**2 = 0.
-15, -3, -1
Let g(t) = -t**3 - 6*t**2 + 2*t - 9. Let b be g(-7). Let a = b + -22. Let 2*q - q**2 - 3*q**3 - 3*q + 0*q + a*q**2 + q**4 = 0. Calculate q.
0, 1
Let z(i) = -i**3 + 4*i**2 - 16*i + 42. Let r be z(3). Let j(f) be the second derivative of -f**2 + 1/20*f**5 + 0 + 1/6*f**4 - f - 1/6*f**r. Factor j(o).
(o - 1)*(o + 1)*(o + 2)
Suppose 0*v + 4*v + 5*j = -7, 4*v = 5*j + 23. Suppose -7*q = -v*q - 20. Solve 0*h**3 + 0*h + 0 - 2/5*h**2 + 2/5*h**q = 0 for h.
-1, 0, 1
Let q(b) be the third derivative of -5/84*b**4 - 1/7*b**3 + 7*b**2 + 0*b - 1/105*b**5 + 0. Find c, given that q(c) = 0.
-3/2, -1
Let m(g) be the first derivative of g**6/36 - 4*g**5/5 + 11*g**4/6 + g**3/9 - 15*g**2/4 + 11*g/3 - 82. Let m(z) = 0. Calculate z.
-1, 1, 22
Let q(w) = -75*w**3 + 108*w**2 - 33*w - 6. Let g(a) = -a**4 + a**3 + a**2 - a + 1. Let i(p) = -6*g(p) - q(p). Factor i(d).
3*d*(d - 1)*(d + 13)*(2*d - 1)
Let g = -216 + 220. Factor -10/3*n**3 - 1/3 - 5/3*n**g - 5/3*n - 10/3*n**2 - 1/3*n**5.
-(n + 1)**5/3
Let c = -14 + 14. Let n be ((-4)/(-18))/(4/6). Factor -n*p**2 + c*p + 1/3.
-(p - 1)*(p + 1)/3
Let z(b) = -b**2 + 6*b + 12. Let w be z(12). Let h = w - -241/4. Find j such that -3/2*j**3 + 0*j - j**5 + h*j**2 + 0 + 9/4*j**4 = 0.
0, 1/4, 1
Let n(q) be the first derivative of 0*q - 5 + 1/8*q**4 - 1/9*q**3 - 7/180*q**5 - 1/2*q**2. Let o(v) be the second derivative of n(v). Solve o(h) = 0 for h.
2/7, 1
Suppose -7*q + 1871 = 1857. Solve 4/7*o + 4/7 + 1/7*o**q = 0.
-2
Let j(r) be the first derivative of -13/6*r**3 - 17 - 1/4*r**2 + 5/8*r**4 + 3/10*r**5 + 3*r. Let j(w) = 0. Calculate w.
-3, -2/3, 1
Let m(x) be the third derivative of -x**6/240 + x**5/120 - 102*x**2. Factor m(r).
-r**2*(r - 1)/2
Let t(n) = n - 1. Let o be t(4). Let b = 1 - 0. Factor b - 2 - f - f**o + 4*f + 3.
-(f - 2)*(f + 1)**2
Suppose -5*k + 15 = 0, -3*k + 11 = -t + 6. Let u(b) be the first derivative of 2/7*b - 2/21*b**3 + 1/14*b**t - 1/7*b**2 - 4. Factor u(r).
2*(r - 1)**2*(r + 1)/7
Let b = -19 + 21. Let g(c) = c**2 + 6*c - 3. Let n be g(-7). Find f such that 7 + 0*f**b + 2*f + 3*f**2 - 4 + n*f = 0.
-1
Let f be 27 + 1 + -2 + -2. Let j = 27 - f. Determine o, given that -o**j + 2*o**3 + 0*o**3 - 2*o + o = 0.
-1, 0, 1
Factor 3*w + 0 - 39/4*w**2.
-3*w*(13*w - 4)/4
Factor -82/9*r + 14/3 - 4/9*r**2.
-2*(r + 21)*(2*r - 1)/9
Suppose -20 = -3*a - j, -3*j - j = -8. Let y be 15 + -14 - ((-4)/a)/2. Factor -2/3*w**2 + 2*w - y.
-2*(w - 2)*(w - 1)/3
Suppose 2*f = 9 + 7. Factor -8*x**2 - 3*x**4 + f*x**2 + 3*x**3.
-3*x**3*(x - 1)
Suppose 7*t - 24 = t. Let y be (2 - 1/(-4)) + t/(-8). Factor y*c - 5/2*c**3 + 1/2 + 1/4*c**2.
-(c - 1)*(2*c + 1)*(5*c + 2)/4
Let c(i) be the first derivative of -i**4/6 - 4*i**3/3 - 4*i**2 + 18*i + 16. Let j(w) be the first derivative of c(w). Solve j(o) = 0.
-2
Let o(g) = 6*g + 1. Let q be o(10). Let u = q + -43. Determine t, given that 6*t**2 - 2/3*t**3 - 18*t + u = 0.
3
Let w(c) be the third derivative of c**6/360 - c**5/36 - c**4/9 + 8*c**3/3 + 121*c**2. Factor w(o).
(o - 4)**2*(o + 3)/3
Let c(j) = -4*j**2 - 48*j + 50. Let u = -131 - -129. Let s(q) = -8*q**2 - 96*q + 99. Let y(t) = u*s(t) + 5*c(t). Factor y(k).
-4*(k - 1)*(k + 13)
Let w(p) = -6*p**3 - 35*p**2 - 6*p + 2. Let h(d) = -7*d**3 - 36*d**2 - 5*d + 3. Let z(q) = 4*h(q) - 6*w(q). Determine t so that z(t) = 0.
-8, -1/4, 0
Let k be (0 + (-5)/25)*1*-1. Determine s so that -k*s - 1/5*s**2 + 2/5 = 0.
-2, 1
Let g(b) be the second derivative of -b**7/21 + b**5/5 - b**3/3 - 72*b. Find z such that g(z) = 0.
-1, 0, 1
Let w = 270 - 264. Let l(f) be the second derivative of 0 + 0*f**2 + 3*f + 3/80*f**5 + 0*f**3 + 1/168*f**7 - 1/40*f**w - 1/48*f**4. Solve l(s) = 0.
0, 1
Let l(z) be the first derivative of 0*z**3 - 8 + 1/5*z**5 - 1/8*z**4 - 1/12*z**6 + 0*z**2 + 0*z. Factor l(s).
-s**3*(s - 1)**2/2
Let l(n) = -n**2 - 6*n + 10. Suppose 2*j = 5*j + 21. Let z be l(j). What is b in 1 - 3*b**z + 2 - 7*b**2 + 1 + 0 = 0?
-2, -1, 2/3
Let u(i) = 5*i**2 + 9. Suppose -2*k - l = -7, 4*k + l = -4*l + 17. Suppose -28 + 7 = -k*z. Let v(f) = 2*f**2 + 4. Let m(x) = z*v(x) - 3*u(x). Factor m(g).
-(g - 1)*(g + 1)
Factor 1/3*g**3 + 5/3*g**2 + g - 1/3*g**4 + 0.
-g*(g - 3)*(g + 1)**2/3
Let v(g) be the first derivative of -g**7/2520 + 13*g**6/1080 - 2*g**5/15 + g**4/2 - 2*g**3 - 20. Let a(d) be the third derivative of v(d). Factor a(n).
-(n - 6)**2*(n - 1)/3
Let f = 5176/6055 + 2/865. Factor 1/7*j**2 - f*j + 5/7.
(j - 5)*(j - 1)/7
Let s = -1638 - -1639. Determine k, given that -2/3*k**2 - 7/3*k - s = 0.
-3, -1/2
Factor -36/5 - 3/5*k + 3/5*k**2.
3*(k - 4)*(k + 3)/5
Let b = -38 - -19. Let h = 21 + b. Factor -5 + 0 - 3 - 6*x + h*x**2.
2*(x - 4)*(x + 1)
Suppose 5 = -v + 2*v. Suppose 3 + v = 2*n. What is z in z**3 - z - z**2 + 3*z**2 - z**n + 0*z**4 - z**4 = 0?
-1, 0, 1/2, 1
Suppose 2*g - 4 - 2 = 0. Let l be (0 + g - 4)*0. What is f in -5*f**2 - 4*f**4 + l*f - 2*f + 9*f**2 + 0*f + 2*f**5 = 0?
-1, 0, 1
Let a(y) be the first derivative of -4*y**5/5 + 3*y**4 + 4*y**3 - 22*y**2 + 24*y - 127. Factor a(l).
-4*(l - 3)*(l - 1)**2*(l + 2)
Find z, given that -33/5*z**3 - 3/5*z**4 + 0 + 3/5*z**2 + 33/5*z = 0.
-11, -1, 0, 1
Let b = 75 - 357/5. Let g = -50 + 52. Factor -2/5*h**g + 12/5*h - b.
-2*(h - 3)**2/5
Let c(n) be the third derivative of n**6/720 + 121*n**5/360 + 155*n**4/6 + 100*n**3 - 16*n**2 - 4. Factor c(k).
(k + 1)*(k + 60)**2/6
Let i = 160 - 156. What is t in 3*t**4 + 26*t**i - 4*t**3 - 33*t**4 = 0?
-1, 0
Let w(b) be the second derivative of b**6/90 - 17*b**5/30 + 289*b**4/36 + 97*b - 1. Factor w(k).
k**2*(k - 17)**2/3
Let k be ((-4)/10 + 28/20)*2. Factor -16*y - k*y**3 - 32 + 2*y**3 - 2*y**3 + 27*y**2 - 13*y**2.
-2*(y - 4)**2*(y + 1)
Let p = 3428/369 - 308/41. Find c, given that 2/9*c**2 + 4/3*c + p = 0.
-4, -2
Let m(g) be the second derivative of 3*g**5/4 - 3*g**4 - 17*g**3/2 - 17*g. Let z(s) = -3*s**3 + 7*s**2 + 10*s. Let i(b) = -4*m(b) - 21*z(b). Factor i(p).
3*p*(p - 2)*(p + 1)
Factor -15*h**3 + 88*h - 38*h + 39*h**2 - 3*h**4 - 71*h.
-3*h*(h - 1)**2*(h + 7)
Let o(c) be the third derivative of -1/6*c**4 + 6*c**2 - 2/15*c**5 + 1/40*c**6 + 0*c + 3/70*c**7 + 0*c**3 + 0. Factor o(y).
y*(y - 1)*(3*y + 2)**2
Let b = 42 - 40. Factor 1 + h**4 - 2*h**b - 118*h + 118*h.
(h - 1)**2*(h + 1)**2
Suppose 82*w - 35*w - 893 = 0. Let d(u) be the first derivative of -45/4*u**4 - w*u**3 + 12*u + 5 + 0*u**2. Determine m so that d(m) = 0.
-1, -2/3, 2/5
Let p(q) be the second derivative of 0 + 1/40*q**5 + 3/4*q**2 + 1/24*q**4 - 5/12*q**3 - 17*q. What is f in p(f) = 0?
-3, 1
Let x(u) be the first derivative of u**6/42 - 3*u**4/28 - 2*u**3/21 - 28. Factor x(i).
i**2*(i - 2)*(i + 1)**2/7
Let i(s) be the second derivative of -s**6/90 + 89*s**5