5). Suppose r*f = -2*j + 10, -6 = -4*j + 6. Factor -2/3 + 2/3*x**f + 0*x.
2*(x - 1)*(x + 1)/3
Factor 5*z**2 - 145*z - 118 + 288 + 41 + 59.
5*(z - 27)*(z - 2)
Find k such that 3/5*k**3 - 9/5*k + 0 - 6/5*k**2 = 0.
-1, 0, 3
Let f(s) be the third derivative of -s**6/40 - 32*s**5/5 - 512*s**4 + s**2 + 172. Let f(p) = 0. Calculate p.
-64, 0
Suppose -8*i - 10 = -10*i. Let q(h) be the second derivative of 1/20*h**5 + 1/18*h**3 + 0 + i*h - 1/6*h**2 + 5/36*h**4. Determine k, given that q(k) = 0.
-1, 1/3
Let l(t) be the third derivative of -t**5/180 + 79*t**4/36 - 6241*t**3/18 + 2*t**2 + 18*t. Let l(n) = 0. Calculate n.
79
Let d(j) be the first derivative of j**6/9 - 32*j**5/15 + 44*j**4/3 - 128*j**3/3 + 48*j**2 - 82. Find r, given that d(r) = 0.
0, 2, 6
Let r(k) be the first derivative of 0*k**4 + 16/3*k**3 - 11 + 0*k - 4/5*k**5 + 0*k**2. Factor r(h).
-4*h**2*(h - 2)*(h + 2)
Suppose -4*r**3 - 17/2*r**2 - 5*r - 1/2*r**4 + 0 = 0. Calculate r.
-5, -2, -1, 0
Find r, given that 4/13*r**2 + 2/13 - 6/13*r**4 + 18/13*r**5 + 10/13*r - 28/13*r**3 = 0.
-1, -1/3, 1
Factor -81*k - 1 + 115*k**2 + 49*k - 9 + 257*k.
5*(k + 2)*(23*k - 1)
Factor 986025*v**3 + 54994*v**5 - 23569*v**5 + 12 + 293298*v**5 + 336603*v**2 + 978117*v**4 + 3984*v.
3*(v + 1)**3*(329*v + 2)**2
Let f = 448 - 225. Let x = f + -223. Factor 0 - 14/5*o**4 + 0*o**2 - 12/5*o**3 + 6/5*o**5 + x*o.
2*o**3*(o - 3)*(3*o + 2)/5
Solve -276/5 + 3/5*b**2 - 132/5*b = 0.
-2, 46
Let r be (18 + -17)*3/150. Let c(u) be the second derivative of -1/15*u**4 + 0*u**2 + 0 + 0*u**3 + 3*u + r*u**5. Find g such that c(g) = 0.
0, 2
Let t(n) be the first derivative of -4 + 2/7*n + 0*n**2 - 2/21*n**3. Factor t(m).
-2*(m - 1)*(m + 1)/7
Let m(f) be the third derivative of -f**8/420 + 4*f**7/525 + f**6/75 - 8*f**5/75 + 7*f**4/30 - 4*f**3/15 - 2*f**2 + 3*f. Factor m(k).
-4*(k - 1)**4*(k + 2)/5
Factor 96*t - 12*t**2 - 81*t - 18*t + 18 - 3*t**3.
-3*(t - 1)*(t + 2)*(t + 3)
Suppose 0*v = -5*v. Suppose 5*b = -2*m + 4, v*b - 2 = b - m. Factor -2/3*a**2 + 2/3*a + b.
-2*a*(a - 1)/3
Let x(i) be the second derivative of i**4/2 + 7*i**3/3 - 6*i**2 - 166*i. What is s in x(s) = 0?
-3, 2/3
Let p = 21 + -11. Suppose p + 10 = 4*s. Factor -2 + 3*x + 3*x**4 + 2*x**2 + 2 - 3*x**3 - s*x**2.
3*x*(x - 1)**2*(x + 1)
Let o(b) = -2*b**3 + 14*b**2 - 14. Suppose 16 = 7*g + 51. Let y(n) = 3*n**3 - 29*n**2 + 27. Let k(m) = g*o(m) - 2*y(m). What is z in k(z) = 0?
-1, 2
Let c(o) be the third derivative of -o**5/210 + o**4/56 - o**3/42 - 18*o**2 - 17. Factor c(v).
-(v - 1)*(2*v - 1)/7
Let c(a) be the first derivative of -51 + 4*a - 4*a**2 - a**3 + 9/4*a**4. Factor c(x).
(x + 1)*(3*x - 2)**2
Let w = 18 + -14. Let s = w - -8. Let q(f) = f**2 - 1. Let g(n) = 20*n**3 - 20*n**2 - 16*n - 12. Let u(v) = s*q(v) - g(v). Factor u(p).
-4*p*(p - 2)*(5*p + 2)
Let h(n) = n - 8. Let l be h(8). Suppose -x - 3*i + 3 = -l, 0 = 2*x - 3*i + 3. Suppose 0*w**3 + 4/9*w**4 + 2/9*w - 2/9*w**5 - 4/9*w**2 + x = 0. What is w?
-1, 0, 1
Let m = 15 + -7. Suppose 0 = -5*k + 3*k + m. Let 13 + 4*x**2 - k*x + 8 - 21 = 0. What is x?
0, 1
Let l(j) be the second derivative of j**5/220 - j**4/33 - j**3/66 + 2*j**2/11 - 138*j. Find b such that l(b) = 0.
-1, 1, 4
Factor 10 - 53*z - 14 + 6*z**2 + 25 + 22*z**2 + 5 - z**3.
-(z - 26)*(z - 1)**2
Let f(j) = -j**3 + 13*j**2 + 8*j + 1. Let t be f(7). Let a be ((-273)/t)/(1/(-3)). Determine g so that -4*g - 8/3 + a*g**3 - g**4 + 2*g**2 = 0.
-1, -2/3, 2
Let o(p) be the second derivative of p**7/168 - p**6/30 + 3*p**5/40 - p**4/12 + p**3/24 + 39*p. Solve o(z) = 0.
0, 1
Factor 0*f - 570/7*f**2 + 6/7*f**4 + 564/7*f**3 + 0.
6*f**2*(f - 1)*(f + 95)/7
Factor 2/5*w**5 - 288/5 - 202*w**2 - 54/5*w**4 + 912/5*w + 438/5*w**3.
2*(w - 12)**2*(w - 1)**3/5
Let r = 19762 - 19757. Let 110/3*u**r - 83/3*u**2 + 272/3*u**3 + 4/3 - 4/3*u - 299/3*u**4 = 0. Calculate u.
-2/11, 2/5, 1/2, 1
Let z be -2 - (2 + -2 - 2). Let p = 1499 - 1497. Let 2/3*w**p - 2/3*w**4 - 2/3*w**3 + 2/3*w + z = 0. Calculate w.
-1, 0, 1
Let u(j) = j**3 - 4*j**2 - 3*j - 9. Let i be u(5). Let d be i/6*(17 + -13). Factor 2/3*z**3 + 0 + d*z - 4/3*z**2.
2*z*(z - 1)**2/3
Let d be ((-6)/10)/((-4)/20). Let s be 4/12*-1 - 30/(-9). Find o, given that 10*o**s - 5*o**3 - 3*o**d - 2*o**5 = 0.
-1, 0, 1
Let h(p) = p**3 + 4*p**2 + p - 4. Let s be h(-2). Solve -5 + 2 + 0*r**2 - 18 - 18*r + 3*r**s = 0.
-1, 7
Suppose x - 10*x = 0. Suppose -2*k + 16 = -x*v + 4*v, 2*v - 4*k + 2 = 0. Factor 50/9*j**5 + 140/9*j**4 + 0 + 88/9*j**v + 16/9*j**2 + 0*j.
2*j**2*(j + 2)*(5*j + 2)**2/9
Suppose w + 3*w - z - 13 = 0, -3*z = 3*w - 6. Suppose -73*x - 20 = -78*x. Determine d so that 8*d**2 - w*d**x - d**4 - d**2 - 3*d**2 - d + d**3 = 0.
-1, 0, 1/4, 1
Suppose -14*g + 5*j - 25 = -19*g, g + 5*j - 17 = 0. Factor 2/5*c**g - 2/5*c + 2/5*c**3 - 2/5.
2*(c - 1)*(c + 1)**2/5
Let j(g) = g**3 - 2*g**2 + g + 1. Let q be j(2). Factor -q - c**2 + 2 + 3*c + 3 - 4*c.
-(c - 1)*(c + 2)
Factor 255 + 28*x**3 - 20*x**3 + 98*x**3 + 99*x**3 + 55*x**3 - 5*x**4 - 250*x**2 - 260*x.
-5*(x - 51)*(x - 1)**2*(x + 1)
Let w be (-81)/(-405) + (1/38)/(50/20). Factor 0*z - 2/19*z**4 + 0*z**3 - 2/19 + w*z**2.
-2*(z - 1)**2*(z + 1)**2/19
Let l(r) = -r**3 + 7*r**2 + 6*r + 11. Let m be l(8). Let f = m + 5. What is i in -3*i + 8*i**2 - 3*i**3 - 2*i**2 + f*i**3 + 0*i = 0?
0, 1
Let q(h) be the first derivative of 0*h + 20/3*h**3 + 9/4*h**4 + 2*h**2 + 4. Find k such that q(k) = 0.
-2, -2/9, 0
Let x(q) be the second derivative of -5*q**7/42 + 7*q**6/6 - 19*q**5/4 + 125*q**4/12 - 40*q**3/3 + 10*q**2 - q. Factor x(v).
-5*(v - 2)**2*(v - 1)**3
Suppose -147*d = -s - 144*d + 29, -21 = -s + 2*d. Factor -2/11*q**s - 12/11*q**3 + 80/11*q**2 - 16/11*q**4 + 0 - 50/11*q.
-2*q*(q - 1)**2*(q + 5)**2/11
Suppose 6 = 3*z - 6. Let l = z + 12. Let -26*b + 6*b + l*b + 2 + 2*b**2 = 0. What is b?
1
Let b be ((-2)/(9 + -3))/(39/(-13)). Let h(t) be the second derivative of 1/18*t**4 - 1/3*t**2 - 3*t + 0 - b*t**3 + 1/30*t**5. Suppose h(k) = 0. Calculate k.
-1, 1
Suppose -3*c = -i + 17, 5*c + 23 = -277*i + 276*i. Find u such that 0 + 5/4*u**i + 0*u - 5/4*u**3 = 0.
0, 1
Factor 0 + 74/7*o + 2/7*o**2.
2*o*(o + 37)/7
Let l = 48717/20305 - -3/4061. Factor 3/5*a**3 + 6/5*a**2 - l*a - 24/5.
3*(a - 2)*(a + 2)**2/5
Let j be (-2 - (14 - 4)) + -2. Let b = j - -16. Suppose -b*u**3 + 0*u**2 + 0*u**2 - 8*u - 8*u**2 = 0. What is u?
-2, 0
Suppose -3*c + 21 = -0*z + z, 2*c + 2*z = 10. Determine u, given that -3*u**2 + 27*u + 6 - 16*u - c*u = 0.
-1, 2
Let d = 14260 - 827101/58. Let p = d + 843/406. Determine b, given that 0 - 12/7*b**3 - 4/7*b**4 - p*b**2 - 4/7*b = 0.
-1, 0
Suppose 0 = 4*p + p - 2*y + 33, -p + 7 = 3*y. Let s be (1/(-1))/(p/10). Factor 2 - 5 + o**2 + s.
(o - 1)*(o + 1)
Determine z so that 696/7*z**2 + 24*z**3 + 704/7*z - 2/7*z**4 + 0 = 0.
-2, 0, 88
Let f(c) = -2*c - 6. Let s be f(-5). Suppose -s*u = -3*u - 10. Suppose -26*n**4 + 8*n + 2*n**2 - 22*n**3 - u*n**5 - 4*n + 4*n**3 = 0. Calculate n.
-1, 0, 2/5
Let c(v) be the second derivative of -v**4/78 + 202*v**3/13 - 91809*v**2/13 - 306*v. Solve c(s) = 0 for s.
303
Solve -4/5*l**3 - 2/5 - 12/5*l**5 - 24/5*l**2 + 16/5*l + 26/5*l**4 = 0.
-1, 1/6, 1
Let g(t) be the second derivative of -1/3*t**4 + 5*t + 0*t**2 - 4/3*t**3 + 1/5*t**5 + 0. Solve g(p) = 0.
-1, 0, 2
Let w = 3691/3 - 1230. Solve -w*p**2 - 1/3 - 2/3*p = 0 for p.
-1
Let m = -10963 + 10966. Factor -6/5*t**2 - 9/5*t - 1/5*t**m + 0.
-t*(t + 3)**2/5
Let s = 1635/44 + -406/11. Let i(o) be the second derivative of -13*o + 0*o**2 + 1/30*o**6 + 0*o**3 + 0 + s*o**4 + 1/5*o**5. Factor i(l).
l**2*(l + 1)*(l + 3)
Let n = 17526 + -368044/21. Find o, given that 0*o - 2/21*o**5 - 2/21*o**4 + 0 + 2/21*o**2 + n*o**3 = 0.
-1, 0, 1
Let k be (94/24)/((-9)/(-36)). Let g = -185/12 + k. Solve g*n**2 - 3/2*n + 5/4 = 0 for n.
1, 5
Let 33/5*b**2 + 4*b + 22/5*b**3 + 4/5 + b**4 = 0. What is b?
-2, -1, -2/5
Solve 0 - 6*r**2 - 12*r - 3/4*r**4 + 21/4*r**3 = 0.
-1, 0, 4
Let f(y) be the third derivative of 7*y**7/360 + 7*y**6/90 + 2*y**5/15 - 7*y**4/24 - 24*y**2. Let m(c) be the second derivative of f(c). Factor m(g).
(7*g + 4)**2
Let n(q) be the third derivative of -q**6/72 + q**5/8 + 5*q**4/6 + 2*q**3/3 + 5*q**2. Let f(g) be the first derivative of n(g). Find a, given that f(a) = 0.
-1, 4
Let w(a) be the second derivative of -a**9/16632 - a**8