 be the second derivative of -1/5*h**5 + 0*h**2 - 2/3*h**3 + 0 - 2/3*h**4 + 11*h. Determine u, given that c(u) = 0.
-1, 0
Let f = 104530175095/2907 - 35958089. Let h = f - 4/323. Factor h*s**3 - 2/9 + 4/3*s - 28/9*s**2 + 4/9*s**5 - 2*s**4.
2*(s - 1)**4*(2*s - 1)/9
Factor f**5 - 72*f**2 - 4*f**3 - f**3 + 75*f**2 - f**4 + 2*f**4.
f**2*(f - 1)**2*(f + 3)
Let l(i) be the third derivative of i**7/630 + 13*i**6/360 - i**5/60 - 41*i**4/72 - 13*i**3/9 + 754*i**2. Factor l(z).
(z - 2)*(z + 1)**2*(z + 13)/3
Suppose 5*o - 5 - 5 = 0. Solve -5*q + 2*q**2 + 5*q + 2*q**o + 4*q**3 = 0.
-1, 0
Let v(s) = -5*s**2 - 11*s + 31. Let k = 30 - 19. Let a(r) = -r**2 - 2*r + 6. Let c(u) = k*a(u) - 2*v(u). Factor c(z).
-(z - 2)*(z + 2)
Let r(p) be the second derivative of 22*p + 0 - 3/4*p**2 - 1/12*p**4 - 1/80*p**5 + 11/24*p**3. Find z, given that r(z) = 0.
-6, 1
Let f = 38 - 38. Let f + 0 - 32*h**2 + 31*h**2 = 0. What is h?
0
Let j(f) be the third derivative of -f**8/840 + 2*f**7/525 - f**5/75 + f**4/60 - 10*f**2. Factor j(g).
-2*g*(g - 1)**3*(g + 1)/5
Let b(j) = -6*j**2 + 5*j**2 - 3*j + 15*j + 6*j**2. Let x(w) = -60*w**2 - 145*w. Let m(u) = -25*b(u) - 2*x(u). Determine n so that m(n) = 0.
-2, 0
Let i(h) be the first derivative of 2*h**6/3 - 8*h**5/5 + h**4 + 596. Factor i(c).
4*c**3*(c - 1)**2
Let c(a) be the first derivative of a**5/30 - a**4/42 + 17*a**2/2 + 22. Let p(z) be the second derivative of c(z). Solve p(f) = 0 for f.
0, 2/7
Let s(o) = -2*o**4 - o**3 + 6*o**2 - o - 2. Let j(t) = -t**4 - 2*t**3 + 6*t**2 - 2*t - 1. Let r(h) = -3*j(h) + 2*s(h). Factor r(m).
-(m - 1)**4
Suppose 14 = 3*j - 37. Let z be 4/(-34) + 36/j. Find d, given that -4*d**4 + 6*d**3 + 4*d**4 - 2*d**4 - 4*d**z = 0.
0, 1, 2
Let q = -6 + 11. Suppose -2*w + 4 = 0, q*w = -2*s - 0*s + 14. Factor -2/5*u**4 - 2/5*u**3 + 2/5*u + 0 + 2/5*u**s.
-2*u*(u - 1)*(u + 1)**2/5
Factor 5959*r**3 + 3*r**4 - 11932*r**3 - 366*r - 123 + 5859*r**3 - 360*r**2.
3*(r - 41)*(r + 1)**3
Let n(v) = -7*v**2 - v - 1. Let t(w) = -22*w**2 - 12*w + 33. Let l(p) = 15*n(p) - 5*t(p). Factor l(z).
5*(z - 3)*(z + 12)
Let a be (8027/828 - 8) + 5/(-3). Let p(o) be the second derivative of -a*o**4 + 0 + 12*o - 1/9*o**3 - 1/6*o**2. Factor p(w).
-(w + 1)**2/3
Let p(g) be the first derivative of -g**4/3 + g**3 - g**2 + 2*g + 2. Let d(o) be the first derivative of p(o). What is r in d(r) = 0?
1/2, 1
Suppose -3*u = 4*r + 10, -12 = -10*u + 8*u + 2*r. What is v in -33*v**3 - 135*v**u - 18 - 102*v**3 - 45*v + 13 = 0?
-1/3
Let y = 2/10397 + 10387/51985. Determine o so that -y*o + 2/5*o**2 + 0 - 1/5*o**3 = 0.
0, 1
Let m = 21347/1584 + 23/144. Let 60/11*y - 6/11*y**2 - m = 0. Calculate y.
5
Let o(y) = -17*y**2 + 6. Let q(c) = c**2 + 1. Let m(i) = o(i) + q(i). Let k(a) = 11*a**2 - 5. Let x(d) = 7*k(d) + 5*m(d). Factor x(u).
-3*u**2
Let 53*p**3 + 72 + 34*p**3 + 38*p**3 - p**3 + 204*p - 16*p**4 - 304*p**2 = 0. What is p?
-1/4, 2, 3
Factor -51846*h + 497*h**2 + 519115 + 208*h**2 + 18711*h - 5*h**3.
-5*(h - 47)**3
Determine p so that 8*p**3 - 6 + 46*p**2 + 21 - 1 - 68*p = 0.
-7, 1/4, 1
Let z(h) = 3*h**2 + 51*h - 36. Let x(i) = i**2 + 2. Let m(c) = -6*x(c) + z(c). Factor m(d).
-3*(d - 16)*(d - 1)
Solve -16*t - 1/3*t**2 - 192 = 0.
-24
Let b = 22/69 - 51/184. Let x(d) be the second derivative of -9*d + 1/6*d**3 - b*d**4 + 0 + 0*d**2. Factor x(y).
-y*(y - 2)/2
Let q = -4293 - -21477/5. Let -48/5*o**3 + q*o**2 + 15*o**5 + 0*o + 0 + 3*o**4 = 0. Calculate o.
-1, 0, 2/5
Let h(i) = -i**3 - 2*i**2 + 3*i + 2. Let u be h(-3). Let y = 14 - 10. Solve -4*q**2 + u*q**y + 0*q**3 + 2*q**3 + 0*q**2 = 0.
-2, 0, 1
Let y = -27953 - -27956. Let o**4 - 2/3*o**2 - 1/3 - 1/3*o**5 + o - 2/3*o**y = 0. Calculate o.
-1, 1
Determine g so that 26/5 + 1/5*g**2 + 27/5*g = 0.
-26, -1
Let m(o) be the second derivative of -o**6/72 + o**5/2 - 15*o**4/2 + o**3 + 11*o. Let p(x) be the second derivative of m(x). Solve p(d) = 0.
6
Let b = 115 + -116. Let u(d) = d**5 - d**3 - d. Let r(s) = 2*s**5 + 20*s**4 + 18*s**3 - 20*s**2 - 17*s. Let p(h) = b*r(h) - 3*u(h). Find a such that p(a) = 0.
-2, -1, 0, 1
Let p(v) be the third derivative of 0 - 1/2352*v**8 + 1/140*v**6 + 10*v**2 - 1/210*v**5 - 5/168*v**4 + 1/14*v**3 - 1/1470*v**7 + 3*v. Factor p(t).
-(t - 1)**3*(t + 1)*(t + 3)/7
Let s(h) be the second derivative of h**7/147 - h**5/70 - 9*h - 4. Let s(m) = 0. What is m?
-1, 0, 1
Suppose -11*z + 1865 = 435. Determine m, given that -10*m**3 - z*m**2 + 6*m**5 + 61*m**2 + 65*m**2 + 8*m**4 = 0.
-2, -1/3, 0, 1
Let r be 1/3 - 1*76/3. Let d be (-15)/r + (-1 - -2). Suppose -2/5*t**5 + 0*t**2 - 8/5*t**3 - d*t**4 + 0*t + 0 = 0. Calculate t.
-2, 0
Let v = -22 - -21. Let b be 440/90 + -3 + v. Determine m so that 8/9*m + b*m**3 + 4/3*m**2 + 2/9*m**4 + 2/9 = 0.
-1
Let s(u) be the third derivative of -u**8/840 + 2*u**7/525 + 7*u**6/300 + 2*u**5/75 + 131*u**2. Factor s(j).
-2*j**2*(j - 4)*(j + 1)**2/5
Let o(y) = -y**3 + 2*y**2 + 10*y - 4. Let i be o(4). Suppose 4*s = i*f + 4, -5*s = 5*f - 14 - 11. Let 0 + 2/5*u**s + 4/5*u**2 + 0*u = 0. Calculate u.
-2, 0
Let o be -6*-20*(-6)/(-36). Let -6*i + i**4 - 9 + 12*i**3 - o*i**3 + 8*i**2 + 6*i**3 + 8*i**3 = 0. Calculate i.
-3, -1, 1
Suppose 0 = -319*l + 801 - 163. Factor 0 + 0*a**l + 2/3*a**3 - 8/9*a - 2/9*a**4.
-2*a*(a - 2)**2*(a + 1)/9
Let c(s) = 13*s - 126. Let z be c(10). Suppose 0 = -4*t - 4*b + 12, -z*b - 6 = -5*t - 6*b. What is p in -3/8*p**3 + t*p - 3/8*p**4 + 0*p**2 + 0 = 0?
-1, 0
Let l(k) be the third derivative of -k**7/1785 - 7*k**6/1020 + 9*k**5/170 - 29*k**4/204 + 10*k**3/51 - 313*k**2. Suppose l(g) = 0. Calculate g.
-10, 1
Let h(i) be the first derivative of 1/4*i**2 + 1/24*i**4 + 2 + i - 1/6*i**3. Let m(p) be the first derivative of h(p). Find a, given that m(a) = 0.
1
Let v = 75 - 163. Let x = v - -443/5. Factor 1/5*t**5 + 0 + 4/5*t**2 - 2/5*t**4 + 4/5*t - x*t**3.
t*(t - 2)**2*(t + 1)**2/5
Let r(i) = 3*i**3 + 15*i**2 - 20*i - 140. Let o(k) = -3*k**3 - 15*k**2 + 21*k + 141. Let f(z) = -4*o(z) - 3*r(z). Find l such that f(l) = 0.
-4, 3
Let i(s) be the second derivative of -s**5/10 + 5*s**4/6 + 2*s**3/3 - 24*s**2 - 67*s. Factor i(z).
-2*(z - 4)*(z - 3)*(z + 2)
Let w be (2 - 122/99) + (-24)/44. Determine y so that -2/3*y**2 - 4/9*y**3 - w*y + 0 = 0.
-1, -1/2, 0
Let n(g) = 3*g**2 + 3*g - 7. Let c be 3/2 - (-1)/2. Let r(u) = 0*u**2 - u**c - u + 2 + u - u. Let s(f) = -2*n(f) - 7*r(f). Find a, given that s(a) = 0.
-1, 0
Factor 2*k + 15/4 + 1/4*k**2.
(k + 3)*(k + 5)/4
Let s = -36403/7 - -5201. Solve 4/7 - s*p**2 + 1/7*p**3 - 1/7*p = 0 for p.
-1, 1, 4
What is y in 1/6*y**3 + 0 - y - 5/6*y**2 = 0?
-1, 0, 6
Let i(d) = d - 13. Let s be i(12). Let a = 2 - s. Factor 17*n**2 + 44*n**2 + 2*n - 7*n**2 + 38*n**a + 14*n + 8*n**4 - 8.
2*(n + 1)*(n + 2)**2*(4*n - 1)
Suppose 2*s - m = 4, 2*s + m = -s + 16. Factor 5*y**4 - 2*y**s + 3*y**2 - 3*y**4 - 3*y**4.
-3*y**2*(y - 1)*(y + 1)
Let d(h) be the first derivative of 21/5*h**5 + 0*h - 6*h**2 - 12*h**3 - 4 + 27/4*h**4. Factor d(r).
3*r*(r - 1)*(r + 2)*(7*r + 2)
Let b be 0/9*1/(-7). Let u(r) be the second derivative of 0*r**3 - 1/90*r**6 + 0*r**2 + 3*r - 1/18*r**4 + b + 1/20*r**5. Determine o, given that u(o) = 0.
0, 1, 2
Suppose -2/11*x**2 + 4/11*x + 0 = 0. Calculate x.
0, 2
Let y = 14565/2 - 7281. Factor -3/4*g + 3/4*g**3 + 3/2*g**2 - y.
3*(g - 1)*(g + 1)*(g + 2)/4
Let d(m) be the first derivative of 0*m - 16/15*m**3 - 6/5*m**2 - 1/5*m**4 + 24. Factor d(n).
-4*n*(n + 1)*(n + 3)/5
Let y be (-10)/(-15) - (-11)/(231/14). Factor y + 2/3*j**2 - 2*j.
2*(j - 2)*(j - 1)/3
Factor -h**4 + 244 + 305 - 162*h + 1071 + 90*h**3 - 385*h**2 - 4*h**4 - 198*h.
-5*(h - 9)**2*(h - 2)*(h + 2)
Suppose 5*q - q - 5*d + 17 = 0, -20 = -4*d. Suppose -3*l = -x + 5, -4*x + q*l - 3 = -13. Factor 0*w - 1/2*w**3 + 1/2*w**x + 0.
-w**2*(w - 1)/2
Let r(z) be the third derivative of 0*z + 1/4*z**3 - 13/80*z**5 + 0 + 11/32*z**4 - 10*z**2. Let r(h) = 0. Calculate h.
-2/13, 1
Let u = 2/39 - -187/156. Let y(r) be the third derivative of -1/2*r**3 + 0*r - 6*r**2 - u*r**4 - 5/4*r**5 + 0. Factor y(w).
-3*(5*w + 1)**2
Let p be 42/14 + (-2)/(-1). Let t(q) = -q**3 - 9*q**2 + q. Let j(o) = 8*o**2 - o. Let u(m) = p*j(m) + 4*t(m). Factor u(a).
-a*(2*a - 1)**2
Suppose 27/8*i**3 + 81/8*i + 3/8*i**4 + 75/8*i**2 + 15/4 = 0. What is i?
-5, -2, -1
Let v(b) be the third derivative of -