 Calculate p.
-1, 1
Let z be (-4 + 5/2)/(2/24). Let c(x) = -x**4 - x**3 - x + 1. Let r(v) = -9*v**4 + 6*v**3 - 15*v**2 - 36*v + 18. Let i(o) = z*c(o) + r(o). Factor i(p).
3*p*(p - 1)*(p + 3)*(3*p + 2)
Let k(i) be the second derivative of 3*i**5/70 + 39*i**4/28 - 10*i**3/7 - 3*i - 8. Let k(t) = 0. Calculate t.
-20, 0, 1/2
Let m be 48/26 - (30/(-26) - -1). Let x(o) be the second derivative of -2/3*o**4 - 5/42*o**7 + o**m - 3/5*o**6 + 1/2*o**3 + 6*o + 0 - 11/10*o**5. Factor x(w).
-(w + 1)**4*(5*w - 2)
Let d(v) be the third derivative of -v**5/360 - v**4/144 + v**3/18 - 2*v**2 - 19. Suppose d(o) = 0. Calculate o.
-2, 1
Let m be (2 + 196/(-80))/(375/(-30) + 11). Factor -m*f**2 - 1/10*f**3 - 1/10 - 3/10*f.
-(f + 1)**3/10
Suppose f + 12 = 3*o + 3*f, -7 = -2*o - f. Let l(b) = -b**2 + 7*b + 19. Let r be l(8). Factor -2*s**3 + r*s**o - s**3 - s**4 - 6*s**2 - 7*s**2.
-s**2*(s + 1)*(s + 2)
Suppose 21*l = 3*l - 31 + 49. Determine p so that -l - 1/2*p - 2*p**4 + 2*p**3 + 9/2*p**2 = 0.
-1, -1/2, 1/2, 2
Let a(o) be the first derivative of -7/20*o**5 + 7/6*o**3 + 4*o + 1/6*o**4 - 5 - o**2. Let w(h) be the first derivative of a(h). Solve w(n) = 0 for n.
-1, 2/7, 1
Let w(g) be the second derivative of 1/20*g**5 + 0 + 9/2*g**2 - 11*g + 0*g**4 + 0*g**3. Let t(j) be the first derivative of w(j). Factor t(z).
3*z**2
Let q be -2 - 1 - (2/(-6))/((-18)/(-324)). Solve 2/17 - 10/17*v**2 + 6/17*v**q + 2/17*v = 0.
-1/3, 1
Let p(a) = -348*a - 2 + 345*a - 1 + 11. Let w be p(2). Factor 4/7 - 4/7*y**3 + 12/7*y**w - 12/7*y.
-4*(y - 1)**3/7
Let o(k) be the first derivative of 10 - 3/2*k**4 + 0*k + 0*k**2 + 4/3*k**3 + 2/5*k**5. Factor o(f).
2*f**2*(f - 2)*(f - 1)
Let o be (-2)/(5 + -3) + 3. Suppose 0 - 2 = -x. Determine k so that 25*k - 3*k**5 + 6*k**4 - 2*k**x - 25*k - 4*k**o + 3*k**3 = 0.
-1, 0, 1, 2
Suppose 0 = -39*o - 21*o. Let z(k) = -k + 6. Let a be z(6). Factor a - 1/3*r**5 + 0*r**3 + 0*r**4 + 0*r**2 + o*r.
-r**5/3
Suppose 17*y + 4*s - 2 = 16*y, -2*y = 4*s - 4. Determine q, given that -4/15*q - 2/5 + 2/15*q**y = 0.
-1, 3
Let k(r) be the second derivative of 25/2*r**3 + 0 - 35/2*r**2 - 43*r + 1/4*r**5 - 15/4*r**4. Suppose k(s) = 0. What is s?
1, 7
Let j(h) = 6*h**2 - 235*h + 41. Let b be j(39). Suppose 128/5 + 2/5*f**b - 32/5*f = 0. Calculate f.
8
Let c = 223446/5 - 44688. Find j such that 8/5*j**3 - 6/5*j**4 + 0 + c*j**2 - 9/5*j + 1/5*j**5 = 0.
-1, 0, 1, 3
Determine n so that -7 - 7 - 5*n**3 - 30*n**2 - 5 - 11 - 55*n = 0.
-3, -2, -1
Let m(o) = -o**3 - 7*o**2 + o + 9. Let r be m(-7). Let k(v) = 2*v + 20. Let d be k(-9). Suppose -j**r - j**d + 3*j**2 + 2*j**2 = 0. Calculate j.
0
Suppose 20*z = 121 - 21. Let p(x) be the third derivative of -1/165*x**6 - 11*x**2 - 17/330*x**z + 0*x + 0*x**3 + 0 - 1/33*x**4. Factor p(g).
-2*g*(g + 4)*(4*g + 1)/11
Find j, given that 2/5*j**3 + 0 + 16/15*j + 28/15*j**2 = 0.
-4, -2/3, 0
Let s(d) be the third derivative of d**7/315 + d**6/90 - d**5/6 - 8*d**4/9 - 16*d**3/9 - 4*d**2 - 6*d. Factor s(a).
2*(a - 4)*(a + 1)**2*(a + 4)/3
Let h(x) = -x**2 - 7*x - 7. Let v be h(-5). Suppose 2*l - 3*a + v = 0, 8*l + a - 1 = 3*l. Factor l*w + 4*w - w - 3*w**2.
-3*w*(w - 1)
Factor -8*w - 28*w**3 + 0*w**2 - 1 + 23*w**3 + 4*w**4 - 3*w**2 + 13*w.
(w - 1)**2*(w + 1)*(4*w - 1)
Let q(g) be the second derivative of 5*g + 5/6*g**6 + 0*g**2 + 5/14*g**7 - 5/12*g**4 + 0 + 1/4*g**5 + 0*g**3. Factor q(f).
5*f**2*(f + 1)**2*(3*f - 1)
Let l(b) be the third derivative of -3*b**7/70 - 5*b**6/8 - 59*b**5/20 - 47*b**4/8 - 5*b**3 - 174*b**2. Find n, given that l(n) = 0.
-5, -2, -1, -1/3
Let a(f) = -11*f**2 + 45*f + 24. Let z(h) = 6*h**2 - 22*h - 12. Let l = -20 - -15. Let b(n) = l*z(n) - 2*a(n). Factor b(m).
-4*(m - 3)*(2*m + 1)
Determine a, given that -2/7*a**4 + 2/7*a**2 + 0*a + 0 + 2/7*a**3 - 2/7*a**5 = 0.
-1, 0, 1
Let n be (-3)/((-66)/4)*(-77)/(-252). Let x(c) be the first derivative of -2/3*c + n*c**3 + 1/24*c**4 - 4 - 1/3*c**2. Solve x(l) = 0.
-2, -1, 2
Find c such that -12/7*c**4 + 6/7*c**2 + 0 + 0*c + 3*c**3 = 0.
-1/4, 0, 2
Let s = -10 - -28. Suppose -4*q + 5 - s = -5*a, -a = -3*q + 4. Solve -y**q + 0*y**2 + 3*y**2 - 2*y**2 = 0.
0, 1
Let q be 258 - (1/(-1) + 40/30). Let t = q - 257. Factor -t*x**3 + 2/3*x + 0*x**2 + 0.
-2*x*(x - 1)*(x + 1)/3
Let l(o) be the first derivative of o**6/3 - 6*o**5/5 + 2*o**4 + 4*o**3/3 - 3*o**2 + 2*o - 5. Let i(p) = -p**3. Let x(m) = -4*i(m) - l(m). Factor x(z).
-2*(z - 1)**4*(z + 1)
Let a(m) = 14*m**2 + 80*m + 76. Let w(h) = 16*h**2 + 78*h + 77. Let j(z) = 3*a(z) - 2*w(z). Factor j(v).
2*(v + 1)*(5*v + 37)
Let l(u) be the second derivative of 1/16*u**4 - 1/80*u**6 + 3/4*u**3 + 0 - 3/40*u**5 + 2*u - 7/2*u**2. Let b(a) be the first derivative of l(a). Factor b(q).
-3*(q - 1)*(q + 1)*(q + 3)/2
Suppose 4 = 4*y - 4, g + 4*y = 10. Let p(s) be the first derivative of -1/3*s**3 + 1/4*s**4 + s + 1 - 1/2*s**g. Factor p(f).
(f - 1)**2*(f + 1)
Let f(x) be the third derivative of x**9/161280 - x**7/3360 + 2*x**5/15 + 55*x**2. Let y(v) be the third derivative of f(v). Factor y(s).
3*s*(s - 2)*(s + 2)/8
Let m(v) be the first derivative of 2*v**5/35 + 5*v**4/7 + 22*v**3/7 + 44*v**2/7 + 40*v/7 + 260. Find s such that m(s) = 0.
-5, -2, -1
Let w(x) be the third derivative of -x**5/330 - 13*x**4/11 - 2028*x**3/11 - x**2 + 16. Factor w(q).
-2*(q + 78)**2/11
Let d be -2 - (0 - 3) - (1 + -3). Factor -d*i + 3*i**3 + 7*i + 4*i - 27*i**2 + 16*i.
3*i*(i - 8)*(i - 1)
Let v(u) be the first derivative of 4*u**6/9 + 392*u**5/15 - 403*u**4/6 + 508*u**3/9 - 17*u**2 + 122. Determine f, given that v(f) = 0.
-51, 0, 1/2, 1
Factor -23 - 19*o**2 + 125*o - 26*o**2 + 31 + 78 + 79 - 5*o**3.
-5*(o - 3)*(o + 1)*(o + 11)
Let q = 20 + 11. Let d be q/2 + (-3)/6. Factor -4*l**2 + 15 + 6*l**3 - 2*l**5 - d.
-2*l**2*(l - 1)**2*(l + 2)
Factor 2/3*c**2 + 2 - 8/3*c.
2*(c - 3)*(c - 1)/3
Solve 6*z**3 + 51/2*z + 10 + 1/4*z**4 + 85/4*z**2 = 0.
-20, -2, -1
Suppose 7/2 + 23/6*c**2 + 43/6*c + 1/6*c**3 = 0. Calculate c.
-21, -1
Let h(m) be the second derivative of -13*m**4/12 + 19*m**3/6 + 11*m**2/2 + 10*m. Let i(x) = 9*x**2 - 13*x - 7. Let o(y) = -5*h(y) - 7*i(y). Factor o(d).
2*(d - 3)*(d + 1)
Let p(b) be the third derivative of 5*b**9/3024 - b**8/112 + b**7/84 - 13*b**3/2 - 24*b**2. Let n(h) be the first derivative of p(h). Factor n(d).
5*d**3*(d - 2)*(d - 1)
Suppose -4*a - 3*w = -349, -15*a + 354 = -11*a + 2*w. Let i = 91 - a. Find n, given that i*n + 4/3*n**2 - 2/3*n**5 + 2/3*n**3 + 0 - 4/3*n**4 = 0.
-2, -1, 0, 1
Let r(o) be the second derivative of -2/3*o**4 + 0 + 4*o**2 - 1/5*o**5 + 2/3*o**3 + 15*o. Solve r(i) = 0 for i.
-2, -1, 1
Let p = 107/63 + 14425/63. Let h = p + -230. Factor h*o**2 + 0 + 2*o.
2*o*(o + 3)/3
What is f in -128/21*f**2 + 0*f - 2/21*f**4 - 32/21*f**3 + 0 = 0?
-8, 0
Suppose 7*t = 5*t - 56. Let z = -27 - t. Let -1 - z + 4*c - 3 - 2*c**2 + 3 = 0. Calculate c.
1
Let h = 293 + -293. Let p(g) be the second derivative of h + 1/18*g**4 - 3*g - 2/9*g**3 - g**2. Let p(q) = 0. What is q?
-1, 3
Let a(x) be the third derivative of x**9/12096 + x**5/20 - 2*x**3/3 - 24*x**2. Let k(i) be the third derivative of a(i). Factor k(u).
5*u**3
Let n = -566 - -570. Let b(j) be the second derivative of -6*j - 10/3*j**3 + 0 + 5*j**n + j**6 - 13/4*j**5 - 5/42*j**7 + 0*j**2. Factor b(d).
-5*d*(d - 2)**2*(d - 1)**2
Suppose -2*m**2 + 9/2 + 9/4*m + 1/4*m**3 = 0. What is m?
-1, 3, 6
Let u(f) be the first derivative of -f**6/14 + 9*f**5/7 - 45*f**4/14 - 190*f**3/7 - 675*f**2/14 - 243*f/7 + 6. Factor u(p).
-3*(p - 9)**2*(p + 1)**3/7
Let x(m) be the first derivative of -m**4/32 + 11*m**3/8 - 43*m**2/8 - 15*m - 267. Let x(r) = 0. What is r?
-1, 4, 30
Let z be ((-9)/21 - 20/(-14))*5. Suppose -11*p - z + 27 = 0. Factor 0 - 9/2*a - 15/2*a**3 - 3/2*a**4 - 21/2*a**p.
-3*a*(a + 1)**2*(a + 3)/2
Let -11/4*m - 1/4*m**3 - 3/2*m**2 - 3/2 = 0. Calculate m.
-3, -2, -1
Solve 2*x**2 - 1/7*x**5 + 9/7*x**3 + 0 + 0*x - 6/7*x**4 = 0 for x.
-7, -1, 0, 2
Determine k so that 4/7 + 2883/7*k**3 + 589/7*k**2 - 16*k = 0.
-1/3, 2/31
Let y(u) be the first derivative of -10*u**3/27 + u**2/3 + 4*u/9 - 31. Factor y(x).
-2*(x - 1)*(5*x + 2)/9
Let q(p) = 4*p - 62. Let v be q(16). Factor -3*m - 2*m**v + m**2 + 9*m**3 - m**2 - 4*m**2.
3*m*(m - 1)*(3*m + 1)
Factor 6*m**2 + 8*m - 3*m**2 - m**2 + 6 - 34 + 18*m.
2*(m - 1)*(m + 14)
Let f(b) be t