e first derivative of -r**4/22 - 10*r**3/33 - 6*r**2/11 + 95. Factor c(v).
-2*v*(v + 2)*(v + 3)/11
Let q = 107 + -103. Let o(j) be the third derivative of 0 + 3*j**2 - 1/14*j**3 - 1/28*j**q + 0*j - 1/140*j**5. Factor o(n).
-3*(n + 1)**2/7
Determine i, given that 3*i**4 + 4*i + 61*i**3 + 27*i**2 + 6*i - 10*i - 91*i**3 = 0.
0, 1, 9
Let v(a) be the first derivative of a**9/1512 + a**8/420 + a**7/420 + 13*a**3/3 + 6. Let k(p) be the third derivative of v(p). Factor k(i).
2*i**3*(i + 1)**2
Let o = 17236 - 86176/5. What is z in o - 24/5*z**2 - 14/5*z**3 - 6/5*z = 0?
-1, 2/7
Let u = 78 + -75. Let -5*a**4 - 96*a - a**2 + 0*a**2 + 24*a**u - 3*a**2 - 64 + a**4 = 0. What is a?
-1, 4
Let n(q) be the third derivative of -q**8/56 + 16*q**7/105 - q**6/20 - q**5/3 + 229*q**2. Solve n(i) = 0 for i.
-2/3, 0, 1, 5
Let x(k) = 4*k**2 - 36*k + 24. Let g be 24*(5/(-10) - -1). Let l(q) = q + 1. Let u(f) = g*l(f) + x(f). Factor u(y).
4*(y - 3)**2
Let m(i) be the third derivative of -i**7/42 + 5*i**6/24 - 3*i**5/4 + 35*i**4/24 - 5*i**3/3 - 3*i**2 + 10. Find a such that m(a) = 0.
1, 2
Let v be (9/36)/((-2)/(-24)). Let c(p) be the third derivative of 0 + 1/30*p**v - 1/60*p**5 - 6*p**2 - 1/120*p**4 - 1/200*p**6 + 0*p. Factor c(f).
-(f + 1)**2*(3*f - 1)/5
Suppose -30 = 5*i, 7*i = 3*h + 71 - 119. Factor 2/9*c + 1/9*c**h + 1/9.
(c + 1)**2/9
Let j be ((-1)/1*-2)/1. Let y(h) = -h**3 - 3*h**2 + 4*h + 3. Let g be y(-4). Factor 13 - 13*v + v + j*v**2 + 2 + g.
2*(v - 3)**2
Suppose 0 - 10/3*r**2 - 1/3*r**4 + 0*r - 11/3*r**3 = 0. Calculate r.
-10, -1, 0
Let a(l) = -l**5 - 17*l**4 + 39*l**3 - 21*l**2 - 4. Let t(q) = 18*q**4 - 39*q**3 + 21*q**2 + 6. Let i(b) = 3*a(b) + 2*t(b). Factor i(v).
-3*v**2*(v - 1)**2*(v + 7)
Let q(v) = -16*v - 74 - 6*v**2 + 7*v**2 + 3*v**2 + 5. Let l(n) = n**2 - 1. Let g(w) = -15*l(w) + 3*q(w). Factor g(a).
-3*(a + 8)**2
Let r(v) = -88*v**2 - 75*v + 6. Let c(x) = -29*x**2 - 25*x + 2. Let a(m) = 7*c(m) - 2*r(m). Factor a(l).
-(l + 1)*(27*l - 2)
Let v(h) be the second derivative of -h**8/20160 + 5*h**4/3 + 5*h. Let w(n) be the third derivative of v(n). What is r in w(r) = 0?
0
Let z be 0*(28/35)/4. Let x(b) be the second derivative of 8*b - 1/60*b**4 + z - 9/10*b**2 - 1/5*b**3. Factor x(w).
-(w + 3)**2/5
Let i(x) = x**3 + 6*x**2 + 2*x + 12. Let g be i(-6). Factor 4/9*h + g + 2/9*h**3 + 2/3*h**2.
2*h*(h + 1)*(h + 2)/9
Let 37/6*s**2 - 2/3*s**3 + 4/3 - 41/6*s = 0. Calculate s.
1/4, 1, 8
Let m(c) = c**3 - 8*c**2 + 13*c - 4. Let i be m(6). Suppose 11 - 5*y - 17 + 7*y**i - 5*y - 9*y = 0. What is y?
-2/7, 3
Factor -2/5*a**2 + 2/5 - 2/5*a**3 + 2/5*a.
-2*(a - 1)*(a + 1)**2/5
Let c = -47913/4 + 11982. Find p such that 3/4*p**4 - c*p**2 + 0*p**3 + 0*p + 3 = 0.
-2, -1, 1, 2
Let q(m) = -8*m**2 - 7*m + 3. Let i(h) be the third derivative of 23*h**5/60 + 11*h**4/12 - 4*h**3/3 + 9*h**2. Let w(j) = 3*i(j) + 8*q(j). Factor w(u).
5*u*(u + 2)
Suppose 141*l - 543 = -120. Factor -1/3*p**5 - 4/3*p - 4*p**2 - 13/3*p**l + 0 - 2*p**4.
-p*(p + 1)**2*(p + 2)**2/3
Let p be 4/(-10) + 406/(-10). Let d = p - -45. Factor 1/4*y**3 - 1/4*y + 0 + 1/4*y**2 - 1/4*y**d.
-y*(y - 1)**2*(y + 1)/4
Factor 23*o - 1419*o**3 + 1407*o**3 - 15*o - 8*o**4 + 12*o**2.
-4*o*(o - 1)*(o + 2)*(2*o + 1)
Let n = 2608 - 2604. Determine o, given that 4/7*o**n - 4/7*o**3 - 8/7*o**2 + 0 + 0*o = 0.
-1, 0, 2
Find q such that 24*q - 17 + 58 + 4*q**2 + 28*q + 7 = 0.
-12, -1
Let m(p) be the second derivative of 1/45*p**6 + 0 - 1/60*p**5 + 1/18*p**3 - 5/36*p**4 - 2*p + 1/2*p**2. Factor m(q).
(q - 1)*(q + 1)**2*(2*q - 3)/3
Let o(s) = 7*s**4 - 70*s**3 + 107*s**2 + 172*s - 16. Let j(r) = 15*r**4 - 141*r**3 + 213*r**2 + 342*r - 36. Let q(w) = -4*j(w) + 9*o(w). Factor q(x).
3*x*(x - 20)*(x - 3)*(x + 1)
Suppose 25*r - 855 + 755 = 0. Let 7/2*c**r - c**3 + c - 7/2*c**2 + 0 = 0. What is c?
-1, 0, 2/7, 1
Let a be -6*8/(-9)*(-24)/(-32). Let x(j) be the first derivative of -4/3*j**3 + 0*j**2 + 1 - 5/2*j**a - 8/5*j**5 + 0*j - 1/3*j**6. Factor x(s).
-2*s**2*(s + 1)**2*(s + 2)
Let l(p) be the second derivative of -3*p**5/20 - p**4/6 + 2*p**3 + 4*p**2 - 277*p. Let l(o) = 0. Calculate o.
-2, -2/3, 2
Let j be (1 + -2)*(2 - 1). Let x = 1 + j. Find k such that -3 + 6*k**2 + x + 2*k**4 - 5*k**4 = 0.
-1, 1
Let -2*k**2 + 88/5*k**4 + 14*k - 32*k**3 + 12/5 = 0. Calculate k.
-1/2, -2/11, 1, 3/2
Suppose 3*q = 4*p + 23, -3*q - 3*p = -6*q + 24. Let x(u) be the third derivative of -9/4*u**4 - q*u**3 + 0*u - 1/60*u**6 + 0 - 3/10*u**5 + 3*u**2. Factor x(f).
-2*(f + 3)**3
Suppose 1/2*a**3 + 0*a**4 - 1/4*a**5 + 0*a**2 + 0 - 1/4*a = 0. What is a?
-1, 0, 1
Let y(d) = -d - 1. Let w = -10 - -9. Let l(n) = -4*n**2 + 12*n - 20. Let z(t) = w*l(t) + 4*y(t). Factor z(h).
4*(h - 2)**2
Suppose -135 = -1411*a + 1366*a. Determine z, given that -78/5*z**a + 72/5*z**2 + 42/5*z**4 - 9/5*z**5 - 33/5*z + 6/5 = 0.
2/3, 1
Solve -14/15*z**4 + 8/5 + 26/3*z**3 - 2/3*z**2 - 6/5*z**5 - 112/15*z = 0.
-3, -1, 2/9, 1, 2
Suppose -z = -7*z + 12. Factor -14*g**2 - 21*g - 7*g**z + 18 - 6*g**3 - 6*g**2.
-3*(g + 2)*(g + 3)*(2*g - 1)
Factor 0 + 9/2*g**2 + 9/4*g**3 + 0*g + 1/4*g**4.
g**2*(g + 3)*(g + 6)/4
Factor 2/9*c**4 + 8/9*c**3 + 10/9 - 4/3*c**2 - 8/9*c.
2*(c - 1)**2*(c + 1)*(c + 5)/9
Suppose -d = 4*d - 2*d. Determine v so that 3/4*v**3 + 3*v + 3*v**2 + d = 0.
-2, 0
Let -8/9*v + 2/9 + 4/3*v**2 - 8/9*v**3 + 2/9*v**4 = 0. What is v?
1
Factor -780*d**3 + 8*d + 391*d**3 + 4 - 19*d**2 + 396*d**3.
(d - 2)*(d - 1)*(7*d + 2)
Let -16*p**2 + 3*p - 10*p**3 + 8 - 17*p + 7*p**2 + 6*p - 17*p**2 = 0. What is p?
-2, -1, 2/5
Let m(q) = q**2 + 3*q + 2. Let o be m(-3). Suppose -4*n = -3*x - 8, 7*n - x = o*n + 10. Find f such that f**4 + 0*f**n + 0*f**2 - 3*f**4 = 0.
0
Let u be ((-8)/(-36))/(4/12 + 0). Let -4*o - u - 6*o**2 = 0. What is o?
-1/3
Factor -7/3*x**3 + 1/3*x**4 + 8/3 - 3*x**2 + 7/3*x.
(x - 8)*(x - 1)*(x + 1)**2/3
Let z be (35*(-75)/(-350))/((-20)/(-6) - 0). Factor -z*n**4 + 0 + 1/2*n**3 - 1/2*n + 9/4*n**2.
-n*(n - 1)*(n + 1)*(9*n - 2)/4
Let j(i) be the second derivative of 0 - 7*i + i**2 - 1/180*i**6 - 2/9*i**3 + 1/36*i**4 + 1/45*i**5. Let l(a) be the first derivative of j(a). Factor l(x).
-2*(x - 2)*(x - 1)*(x + 1)/3
Let v be (-161)/840 - (-4)/(0 + 2). Let o = -5/24 + v. Factor -o*j**4 + 0 + 2/5*j - 4/5*j**2 - 14/5*j**3.
-2*j*(j + 1)**2*(4*j - 1)/5
Factor -42 + 9/5*f + 3/5*f**2.
3*(f - 7)*(f + 10)/5
Suppose -7*p - 253 + 274 = 0. Let o(b) be the second derivative of 8*b - 1/150*b**6 + 0*b**p + 0*b**2 + 0*b**5 + 0 + 1/60*b**4. Factor o(y).
-y**2*(y - 1)*(y + 1)/5
Factor 55*n**2 - 10*n + 4*n**3 + 62*n**2 - 126*n**2 + 3.
(n - 3)*(n + 1)*(4*n - 1)
Let k(q) be the first derivative of 5*q**4/4 + 5*q**3/3 + 506. Factor k(u).
5*u**2*(u + 1)
Let z(c) = 16*c**2 + 38*c + 252. Let w(l) = -3*l**2 - 2. Let g(t) = -6*w(t) - z(t). Factor g(s).
2*(s - 24)*(s + 5)
Let n(q) be the first derivative of -q**6/40 + q**5/20 + q**4/4 - 9*q**2 - 6. Let w(i) be the second derivative of n(i). Determine f, given that w(f) = 0.
-1, 0, 2
Let o(j) be the first derivative of j**8/8400 + j**7/4200 - j**6/300 + 5*j**3 - 8. Let t(x) be the third derivative of o(x). Factor t(p).
p**2*(p - 2)*(p + 3)/5
Suppose -4*w - 6*f = -f - 25, -5*w - 4*f + 29 = 0. Factor -2 + 7*g + 0*g**2 - 3*g**2 + 15*g**3 + w*g**4 - 22*g**3.
(g - 1)**2*(g + 1)*(5*g - 2)
Let p(w) = 4*w**3 - 120*w**2 - 128*w. Let u(f) = -9*f**3 + 237*f**2 + 256*f. Let h(x) = -5*p(x) - 2*u(x). Factor h(d).
-2*d*(d - 64)*(d + 1)
Let o(l) = -l**3 - 2. Let c(v) = -22*v**2 - 47*v - 26. Let b(p) = c(p) - o(p). Solve b(a) = 0 for a.
-1, 24
Let 45*s - 3/2*s**2 + 93/2 = 0. Calculate s.
-1, 31
Determine l, given that 1/7*l**2 + 3/7 - 1/7*l**3 + 5/7*l = 0.
-1, 3
Suppose -5*u = 2*j + 3*j + 15, 17 = j - 3*u. Let t(h) be the first derivative of -2/9*h - 2/9*h**2 - j - 2/27*h**3. Find y, given that t(y) = 0.
-1
Suppose 9*u - 487 = -55. Let s be ((-6)/(-7))/(u/84). Solve -3/2*g**2 - s*g + 3 = 0.
-2, 1
Let z(l) be the first derivative of -2*l**3/39 + 11*l**2/13 + 4*l + 60. Suppose z(n) = 0. Calculate n.
-2, 13
Let z(d) = -d**4 - 3*d**3 + 2*d**2 + 2*d + 1. Let i(u) = -u**4 - u**3 + 2*u - 1. Let c(k) = -i(k) - z(k). Let c(r) = 0. What is r?
-2, -1, 0, 1
Let i(q) be the second derivative of q**7/168 - q**6/120 - 3*q**5/40 + q**4/12 + q**3/3 - 143*q. Determine o, given that i(o) = 0.
-2, -1, 0, 2
Let