*3 - 11*n**2 + 73*n - 112. Let s be f(-16). Solve 4/5*v**3 + 1/5*v**4 + 0*v + 4/5*v**2 + s = 0 for v.
-2, 0
Suppose -25*l + 23*l + 4 = 0. Factor -4*x + 5 - 7 + 3 + x**l + 2.
(x - 3)*(x - 1)
Let i(p) be the second derivative of 2*p**6/5 - p**5 - 4*p**4/3 + 8*p**3/3 + 115*p. Determine c, given that i(c) = 0.
-1, 0, 2/3, 2
Suppose -6*r**2 + 0 - 22/3*r**3 + 20/3*r + 2/3*r**5 + 6*r**4 = 0. Calculate r.
-10, -1, 0, 1
Let c(b) = -b - 5. Let s be c(-7). Factor -5*w**3 - 25*w**s + 8*w + 2*w - 5*w + 25.
-5*(w - 1)*(w + 1)*(w + 5)
Let a(h) be the second derivative of -h**6/45 - 11*h**5/30 - 7*h**4/3 - 64*h**3/9 - 32*h**2/3 - 4*h + 12. Determine v, given that a(v) = 0.
-4, -2, -1
Suppose 30 = 2*q - q. Factor 15*c**4 + 20*c**3 - 24*c**2 + c**3 + q*c**2.
3*c**2*(c + 1)*(5*c + 2)
Let u(c) = -c**2 - 5*c - 8. Let v be u(5). Let q = -53 - v. Find m such that 0*m**3 + 0*m + 0*m**2 + 3/5*m**q + 3/5*m**4 + 0 = 0.
-1, 0
Let f be -62*(-3)/12*2. Suppose 25*v = f*v - 12. What is a in 4/3*a**v - 6*a**3 + 0 + 14/3*a**4 + 0*a = 0?
0, 2/7, 1
Let z be 59 + (-325)/5 - 57/(-8). Suppose 0*q + 4*q - 8 = 0. Let -z - 15/8*w**q + 3/8*w**3 + 21/8*w = 0. Calculate w.
1, 3
Let c(o) be the third derivative of -o**6/210 - 4*o**5/105 + 11*o**4/42 - 4*o**3/7 - 6*o**2. Factor c(a).
-4*(a - 1)**2*(a + 6)/7
Suppose 9*z + 20*z = -5*z. Factor 0 + z*p**3 + 1/2*p**2 + 1/4*p - 1/2*p**4 - 1/4*p**5.
-p*(p - 1)*(p + 1)**3/4
Let g(i) be the second derivative of i**4/30 + 7*i**3/5 + 4*i**2 + 2*i - 39. Find y, given that g(y) = 0.
-20, -1
Let w(o) = 4 + 336*o - 339*o - 19. Let z be w(-13). Factor 8*i**4 + 2*i**4 + 65*i**3 - 13*i**3 + 10*i**4 - z*i**2.
4*i**2*(i + 3)*(5*i - 2)
Let d(y) be the third derivative of y**5/360 + y**4/16 - 5*y**3/18 - 10*y**2. Factor d(t).
(t - 1)*(t + 10)/6
Let w(l) = 4*l - 2. Let s be w(1). Let -15*n**s + 43*n**2 + 12*n**2 - 15*n**3 - 10 - 15*n = 0. Calculate n.
-1/3, 1, 2
Suppose 2*w - 4*n = 5*w + 64, 0 = w - 4*n + 16. Let p be (w/(-24))/((-3)/(-12)). Factor 2/3*g**4 - 8/3*g - 16/3 + p*g**3 + 4*g**2.
2*(g - 1)*(g + 2)**3/3
Solve -116/3*l - 2*l**3 + 62/3*l**2 + 32/3 = 0 for l.
1/3, 2, 8
Let k be (9 + -11)/((4/3)/(-2)). Find x, given that 5*x**5 - 6*x**k - 10*x**2 + 3*x**3 - 5*x**3 - 7*x**3 = 0.
-1, 0, 2
Let i(v) be the first derivative of 1/15*v**5 - 3*v**2 + 4/3*v**4 + 0*v + 32/3*v**3 + 5. Let m(n) be the second derivative of i(n). Let m(w) = 0. Calculate w.
-4
Let g(f) = 2*f**4 + 3*f**3 + 21*f**2 + 20*f + 12. Let a(u) = -7*u**4 - 12*u**3 - 82*u**2 - 79*u - 46. Let m(v) = 3*a(v) + 11*g(v). Determine i so that m(i) = 0.
-1, 6
Let u = -635/28 + 33/28. Let o = u - -22. Factor -p - 1/2*p**2 - o.
-(p + 1)**2/2
Let s(y) = y**2 - 7*y + 14. Let l be s(3). Suppose -2 = -2*f + 2. Factor f*b**4 + l*b**5 + b**4 - 3*b**4.
2*b**5
Suppose 0 = -o - 4*o + 55. Suppose 3*y - o = 7. Let 6*k + 6 - 3*k**2 - 6 - y*k**3 + 3*k**4 = 0. Calculate k.
-1, 0, 1, 2
Let b be (0 - -1) + (-1)/5. Let k be -5 - (-3092)/580 - 6/(-87). Suppose -2/5*w**2 - b*w - k = 0. What is w?
-1
Let b(i) be the second derivative of 13*i**4/9 - 5*i**3/18 - i**2/3 - 33*i. Determine c so that b(c) = 0.
-2/13, 1/4
Let m(k) = -4*k**3 + 11*k**2 - 53*k - 53. Let c(g) = 10*g**3 - 32*g**2 + 158*g + 160. Let y(i) = 3*c(i) + 8*m(i). Suppose y(a) = 0. Calculate a.
-7, -1, 4
Let j = 5924 + -11833/2. Factor -j*h - 5/2*h**2 + 0.
-5*h*(h + 3)/2
Let b(h) = -71*h**3 - 215*h**2 - 172*h - 36. Let z(q) = -24 - 42*q**2 - 115*q + 38*q**2 - 47*q**3 - 139*q**2. Let f(o) = 5*b(o) - 8*z(o). Factor f(s).
3*(s + 1)*(s + 2)*(7*s + 2)
Let u(g) be the third derivative of -g**8/210 + 17*g**7/525 - 7*g**6/75 + 11*g**5/75 - 2*g**4/15 + g**3/15 + 32*g**2. Factor u(q).
-2*(q - 1)**4*(4*q - 1)/5
Let j(h) = -4*h**2 - 5*h - 3. Suppose 0 = -3*l - 2*l - 15. Let k(b) = -7 - 39*b + 60*b - 32*b - 9*b**2. Let c(q) = l*k(q) + 7*j(q). Factor c(r).
-r*(r + 2)
Let q(m) be the second derivative of 11*m**7/14 - 31*m**6/10 + 81*m**5/20 - 5*m**4/4 - m**3 + 114*m. Factor q(u).
3*u*(u - 1)**3*(11*u + 2)
Let q(p) be the first derivative of -2*p**3/3 - 2*p**2 + 16*p - 206. Factor q(j).
-2*(j - 2)*(j + 4)
Let h(d) be the first derivative of -d**5/15 + 5*d**4/2 - 224*d**3/9 - 5*d**2 + 75*d + 99. Find s such that h(s) = 0.
-1, 1, 15
Let u(k) be the second derivative of k**8/336 - k**7/84 - k**6/72 + k**5/12 - 7*k**3/6 + 7*k. Let y(t) be the second derivative of u(t). Solve y(r) = 0 for r.
-1, 0, 1, 2
Factor 0 + 0*g - g**2 + 25/4*g**4 + 12*g**3.
g**2*(g + 2)*(25*g - 2)/4
Let s(u) be the third derivative of -u**5/105 - 3*u**4/14 + 44*u**3/21 - 8*u**2 - 2*u. Factor s(r).
-4*(r - 2)*(r + 11)/7
Let m(u) = 8*u + 1 + 5*u**2 - 12*u**3 + 3*u**2 + 4*u**5 + 1 - 4*u**4 - 2*u**2. Let w(p) = p**2 + 1. Let k(v) = -m(v) + 2*w(v). Determine b so that k(b) = 0.
-1, 0, 1, 2
Let m(s) = -s**2 - 17*s - 25. Let a be m(-12). Suppose -a*l = -32*l. Find t such that l + 2/3*t - 1/3*t**2 = 0.
0, 2
Let j(f) be the first derivative of f**3/3 + 4*f**2 - 9*f + 22. Determine g, given that j(g) = 0.
-9, 1
Let y(c) = -2 + c**2 - 8 + 9 - 5*c + c. Let a(d) = -3*d**2 + 11*d + 3. Let u(v) = -4*a(v) - 11*y(v). Factor u(t).
(t - 1)*(t + 1)
Let v(r) be the third derivative of -r**10/50400 - r**9/25200 - 13*r**4/12 - 2*r**2. Let i(h) be the second derivative of v(h). Factor i(p).
-3*p**4*(p + 1)/5
Let u(n) be the first derivative of -n**3/3 - 9*n**2/2 + 10*n + 1. Let w be u(-9). Find v, given that 4 + 12*v**2 + v**2 + 7*v**3 + w*v**2 + 20*v = 0.
-2, -1, -2/7
Let s = 2467/11223 + 3/1247. Factor -2*f**4 - 28/9*f**2 - s + 32/9*f**3 + 4/3*f + 4/9*f**5.
2*(f - 1)**4*(2*f - 1)/9
Suppose -3 = -3*m + 3. Suppose -2*n = -0*k + 2*k - 100, 54 = k + m*n. Solve -8*r + 6*r**2 + 50 - k - 2*r**2 = 0.
1
Solve 8*r**4 - 5*r**4 - 24*r**2 - 151*r**3 + 144*r + 136*r**3 = 0 for r.
-3, 0, 4
Let j(i) be the first derivative of i**6/90 + 11*i**5/45 + 19*i**4/18 + 2*i**3 + i**2/2 - 2*i - 43. Let s(o) be the second derivative of j(o). Factor s(a).
4*(a + 1)**2*(a + 9)/3
Let z(l) be the first derivative of l**5/60 - l**4/3 + 8*l**3/3 - 3*l**2 + 8. Let w(s) be the second derivative of z(s). What is m in w(m) = 0?
4
Let n be 1 + -3*(-20)/(-108). Let q = 16/9 - n. Factor 2/9*j**4 + q*j**2 - 8/9*j - 8/9*j**3 + 2/9.
2*(j - 1)**4/9
Let x(r) be the third derivative of -r**7/3360 + r**6/320 + 5*r**4/12 + 22*r**2. Let k(w) be the second derivative of x(w). Factor k(i).
-3*i*(i - 3)/4
Let w(j) be the second derivative of -j**7/70 + 3*j**6/25 - 21*j**5/50 + 4*j**4/5 - 9*j**3/10 + 3*j**2/5 + 223*j - 2. Find p, given that w(p) = 0.
1, 2
Let b(t) be the first derivative of -2*t**5/55 + 4*t**4/11 + 16*t**3/33 - 96*t**2/11 - 288*t/11 + 59. Let b(z) = 0. Calculate z.
-2, 6
Let f(o) = -o**2 - 12*o - 15. Let u be f(-10). Suppose -4 = -3*c - 2*d, -c + 3*d + u = -0. Find z, given that 3/5*z**3 - 3/5*z + 3/5 - 3/5*z**c = 0.
-1, 1
Find o, given that -12*o**2 - 81 - 70*o**4 - 30*o**3 + 67*o**4 + 21*o + 105*o = 0.
-9, -3, 1
Suppose 16/7*x**2 + 0*x + 44/7*x**4 + 0 - 80/7*x**3 + 20*x**5 = 0. What is x?
-1, 0, 2/7, 2/5
Let z be -2 + 624/102 + -4. Find s, given that -z*s**3 + 2/17*s + 6/17*s**2 - 6/17 = 0.
-1, 1, 3
Factor -338/3*j + 0 - 2/3*j**4 - 130*j**2 - 18*j**3.
-2*j*(j + 1)*(j + 13)**2/3
Let y be (-12)/(-42) + 12/7. Let s = 23/2 + -11. Suppose -s*r**2 - y + 2*r = 0. What is r?
2
Suppose -4*x = -8, -9*a + 9 = -8*a + 3*x. Let 1/5*f - 2/5*f**a + 0 + 1/5*f**2 = 0. Calculate f.
-1/2, 0, 1
Let d(y) = -6. Let u(f) = -3. Let s(w) = -6*d(w) + 11*u(w). Let j(q) = -q**3 + q - 5. Let n(p) = 3*j(p) + 5*s(p). Determine x so that n(x) = 0.
-1, 0, 1
Let i(s) be the third derivative of -11*s**6/240 - s**5/5 - s**4/12 + 12*s**2 - 2*s. Factor i(n).
-n*(n + 2)*(11*n + 2)/2
Let f(x) be the first derivative of -x**5/40 + 9*x**4/32 - 5*x**3/4 + 11*x**2/4 - 3*x - 315. Solve f(o) = 0.
2, 3
Let o(p) = 2*p + 4. Let s(b) = -b**2 - 2*b + 3. Let a be s(1). Let f be o(a). Find w such that -6*w**2 - 8*w**3 + f*w**3 + 2*w**3 = 0.
-3, 0
Factor -18026/3*n**2 - 1352/3 - 98/3*n**4 - 3224*n - 868*n**3.
-2*(n + 13)**2*(7*n + 2)**2/3
Let v(f) = -5*f**2 + 20*f - 16. Let b(y) = y**2 - y. Let c(h) = -2*h**2 + h. Let k(z) = -b(z) - c(z). Let m(q) = -k(q) - v(q). Suppose m(g) = 0. Calculate g.
1, 4
Let l(m) be the third derivative of m**5/36 - 5*m**4/3 + 40*m**3 - 3*m**2 + 7. Factor l(i).
5*(i - 12)**2/3
Let i(p) = 