54*r**4 + 0 - 22*r. Factor a(u).
2*(5*u + 1)**2/9
Let c(j) be the first derivative of 0*j**2 + 0*j + 28/3*j**3 - 13*j**4 + 2/3*j**6 + 55 + 4*j**5. Solve c(o) = 0 for o.
-7, 0, 1
Let k(c) = -15*c**2 - 35*c + 50. Let l(h) = -8*h**2 - 17*h + 25. Let g(s) = -3*k(s) + 5*l(s). Let g(i) = 0. Calculate i.
-5, 1
Let v be 15/5*(-3 - (-1 + -3)). Suppose -2*p + 4*p = v*p. Find o, given that 0*o**3 + 1/3*o**4 + 0*o + 0 + p*o**2 = 0.
0
Let a be (7/(-7)*6)/(-3)*1. Let q = 104/165 - -2/55. Let -q*i**a - 2*i - 4/3 = 0. What is i?
-2, -1
Let c(m) be the third derivative of m**5/20 - 11*m**4/2 + 196*m**2. Determine d, given that c(d) = 0.
0, 44
Let l(g) be the second derivative of g**6/10 - 63*g**5/2 + 2756*g**4 + 105*g**3 - 33075*g**2/2 - 182*g + 1. Factor l(w).
3*(w - 105)**2*(w - 1)*(w + 1)
Let c(x) = x**2 + 14*x + 18. Let y be c(-13). Suppose 0 = -y*f - 5*i - 15, 5*i + 5 = -20. Factor 8*k**2 - 7*k**4 - 5*k**3 + f*k**4 - 5*k**5 + 10*k**3 - 3*k**2.
-5*k**2*(k - 1)*(k + 1)**2
Let n(s) = 55*s**2 - 1715*s + 14125. Let v(p) = 5*p**2 - 156*p + 1284. Let c(o) = 4*n(o) - 45*v(o). Determine t so that c(t) = 0.
16
Let n(p) be the first derivative of 1/6*p**4 - 30 + 4*p**2 + 4/3*p**3 + 16/3*p. What is m in n(m) = 0?
-2
Let n(s) be the third derivative of -s**5/180 + 35*s**4/72 + 2*s**3 - 4*s**2. Find i, given that n(i) = 0.
-1, 36
Let c = 128 - 76. Let a = c - 50. Factor 0*t + 0 + 2/9*t**a.
2*t**2/9
Factor -7773*s + 15622*s - 104 - 2*s**2 - 7743*s.
-2*(s - 52)*(s - 1)
Let c = -64 - -326/5. Factor -c*h**3 - 12/5*h + 3/5 + 3*h**2.
-3*(h - 1)**2*(2*h - 1)/5
Let i be (2/6)/(3/18). Suppose i*v + 2 = 3*v. Suppose 14*f**2 + 4*f + 15*f**2 - 31*f**v = 0. What is f?
0, 2
Let q(l) = 3*l**2 - l - 4. Let g be q(-4). Factor 3 + g*m**2 - 52*m**2 + 2*m**4 - 1.
2*(m - 1)**2*(m + 1)**2
Let x(o) be the first derivative of -o**3 - 57*o**2/2 - 69. Factor x(t).
-3*t*(t + 19)
Let z be (-1)/((-5)/(-2) + -3*1). Determine b so that -6*b**3 + 0*b**z + 0*b**3 + 10*b - 5*b**4 + 5*b**2 - 4*b**3 = 0.
-2, -1, 0, 1
Let s(a) be the second derivative of -a**6/120 - 3*a**5/80 - a**4/16 - a**3/24 + 245*a. Factor s(z).
-z*(z + 1)**3/4
Let w(y) be the second derivative of y**5/180 - y**4/18 + y**3/6 - y**2/2 - 12*y. Let b(p) be the first derivative of w(p). Factor b(u).
(u - 3)*(u - 1)/3
Let n(q) be the first derivative of q**7/105 + q**6/60 - q**5/15 + q**2/2 + 10. Let g(t) be the second derivative of n(t). Factor g(z).
2*z**2*(z - 1)*(z + 2)
Let a = 215 + -210. Let z(y) be the first derivative of 1/15*y**6 - 4/3*y**3 - 2/5*y**a - 1 - 2/5*y + y**2 + y**4. Determine d so that z(d) = 0.
1
Let o(i) be the third derivative of 55*i**8/672 + 5*i**7/21 + 7*i**6/48 - i**5/12 + 3*i**2 - 109. Factor o(q).
5*q**2*(q + 1)**2*(11*q - 2)/2
Suppose 59/2*y - 3481/4 - 1/4*y**2 = 0. Calculate y.
59
Let y(k) = -2*k**3 + 25*k**2 + 44*k - 26. Let c be y(14). Find w such that w + 2/5 + 1/5*w**3 + 4/5*w**c = 0.
-2, -1
Let p = 127 + -125. Factor -16*f - 7*f**2 - 14*f**2 - 6*f**2 + 14 + 29*f**p.
2*(f - 7)*(f - 1)
Let u(w) = 18*w - 2. Let x be u(1). Suppose 5*t - t = x. Suppose 2*p**4 - 5*p**3 + t*p**2 + 25*p**3 + 14*p**4 = 0. Calculate p.
-1, -1/4, 0
Suppose u = -3*u - 5*h, -2*u - 2*h = 0. Let y be (-9)/(-21) - (u + 0). Factor y*i**2 + 0*i - 12/7.
3*(i - 2)*(i + 2)/7
Let -1227 + 6*s**4 - 142*s**3 + 600*s + 130*s**2 - 2*s**5 + 227 + 24*s**4 = 0. Calculate s.
-2, 2, 5
Let o(k) be the first derivative of -4/27*k**3 + 1/54*k**4 - 6 - 4*k + 4/9*k**2. Let t(m) be the first derivative of o(m). Determine q, given that t(q) = 0.
2
Factor -1/7*u**3 + 13/7*u - 1/7*u**4 + u**2 + 6/7.
-(u - 3)*(u + 1)**2*(u + 2)/7
Let t(k) be the third derivative of k**8/13440 - k**7/3360 + k**6/2880 + k**3 + 2*k**2. Let z(b) be the first derivative of t(b). Factor z(r).
r**2*(r - 1)**2/8
Let p(k) = 4*k**2 - 20*k + 32. Let t(d) be the second derivative of -d**4 + 61*d**3/6 - 97*d**2/2 - 18*d. Let v(n) = 11*p(n) + 4*t(n). Factor v(i).
-4*(i - 3)**2
Let q be (-2475)/(-90)*24/180. Determine n, given that -1/3*n**2 - q*n - 10/3 = 0.
-10, -1
Let l(v) be the first derivative of v**5/20 - 13*v**4/16 - 5*v**3/4 + 13*v**2/8 + 7*v/2 + 194. Factor l(t).
(t - 14)*(t - 1)*(t + 1)**2/4
Let x = 139 + 239. Factor -2*b**3 + 32 + 0 - 392*b**2 + x*b**2 - 16*b.
-2*(b - 1)*(b + 4)**2
Let d(r) = -r**3 + 6*r**2 - 2*r + 9. Let x be d(6). Let b be (-1 + -3)*x/6. Suppose 10*k**3 - 13*k**3 - 7*k**2 + k**b - 3*k = 0. Calculate k.
-1, 0
Factor -2/7*u**2 + 0 + 12*u.
-2*u*(u - 42)/7
Factor -40*n + 2*n**2 + 68*n - 30*n.
2*n*(n - 1)
Let u(x) be the third derivative of x**8/84 - 2*x**7/15 - 4*x**6/15 + 788*x**2. Factor u(i).
4*i**3*(i - 8)*(i + 1)
Let t(p) = -p**2 - 9*p - 7. Let z be t(-3). Let v be 38/48 + z/(-88). Factor -v + w - 1/3*w**2.
-(w - 2)*(w - 1)/3
Let v(n) be the second derivative of n**7/21 - n**6/15 - n**5/2 + n**4/6 + 8*n**3/3 + 4*n**2 + 21*n. Find o, given that v(o) = 0.
-1, 2
Factor 0*t + 2/11*t**2 - 2/11.
2*(t - 1)*(t + 1)/11
Let u(z) be the third derivative of 0 + 0*z**3 - 1/200*z**6 + 1/30*z**4 + 0*z + 34*z**2 - 1/75*z**5 + 1/525*z**7 + 1/1680*z**8. Factor u(j).
j*(j - 1)**2*(j + 2)**2/5
Let n(q) = q**2 + q - 28. Let h be n(5). Let r be (-180)/55*(-1)/h. Determine y, given that 0 + 26/11*y**3 - 42/11*y**4 + r*y**5 + 2/11*y**2 - 4/11*y = 0.
-1/3, 0, 2/3, 1
Suppose 32*c = 12*c + 80. Let w(x) be the second derivative of -1/5*x**3 + 3/10*x**2 + 1/20*x**c + x + 0. Suppose w(n) = 0. Calculate n.
1
Let c = 4829 + -4827. Factor -4/5*m**3 + 0 + 0*m + 2/5*m**5 - 2/5*m**4 + 0*m**c.
2*m**3*(m - 2)*(m + 1)/5
Let x(w) be the second derivative of 4/5*w**2 + 2/5*w**3 + 1/15*w**4 + 0 - 14*w. Let x(p) = 0. What is p?
-2, -1
Suppose -10/13*m - 12/13 + 2/13*m**2 = 0. Calculate m.
-1, 6
Let x = 202 - 199. Let b(s) be the second derivative of 0*s**2 - x*s + 0*s**3 + 1/33*s**4 + 0 - 3/110*s**5 + 1/165*s**6. Factor b(i).
2*i**2*(i - 2)*(i - 1)/11
Let g(r) be the second derivative of r**5/15 - r**4/6 + 7*r**2 - 6*r. Let i(q) be the first derivative of g(q). Factor i(d).
4*d*(d - 1)
Solve 9*i + 26*i + 36 + 63*i**2 + 61*i - 9*i**4 - 6*i**3 = 0 for i.
-2, -1, -2/3, 3
Let t be ((-2676)/40 - -67)*(-20)/(-1). Determine y, given that 2/3*y - y**3 + 1/3*y**5 + 1/3*y**4 + 0 - 1/3*y**t = 0.
-2, -1, 0, 1
Let h(w) be the first derivative of 2*w**3/21 + 480*w**2/7 + 115200*w/7 - 877. Factor h(d).
2*(d + 240)**2/7
Let i = 21200 + -21197. Let -2/3*f**4 - 22/3*f + 6*f**2 - 2/3*f**i + 8/3 = 0. Calculate f.
-4, 1
Let x be (-89)/(-56) + 0 - 46/(-368). Factor 27/7*d + 3/7*d**3 + x + 18/7*d**2.
3*(d + 1)**2*(d + 4)/7
Let r(x) = x + 19. Let m be r(18). Suppose 5*s = 3*u, 0 + m = 4*s + 5*u. Solve 33/2*i**s + 39/4*i**4 + 21/4*i + 3/4 + 9/4*i**5 + 27/2*i**2 = 0 for i.
-1, -1/3
Suppose 0 = g + 2*i + 15, 2*i - 5 - 5 = 4*g. Let c(p) = p**2 - 7*p - 2. Let t(w) = 15*w + 5. Let f(o) = g*c(o) - 3*t(o). Factor f(u).
-5*(u + 1)**2
Let f(w) be the first derivative of -1 - 1/24*w**4 - 4*w**2 - 2/3*w**3 - 8*w. Let i(s) be the first derivative of f(s). Suppose i(b) = 0. What is b?
-4
Suppose 3*g + 0*g = q - 3, -3*q = g + 31. Let i = q - -12. Determine w, given that 2/3*w**i - 4/3*w + 0 - 2/3*w**2 = 0.
-1, 0, 2
Solve 24/11 + 14/11*x - x**2 - 1/11*x**3 = 0.
-12, -1, 2
Let i(c) be the second derivative of -29*c**4/10 + 5*c**3/2 + 3*c**2/5 + c + 4. Determine o so that i(o) = 0.
-2/29, 1/2
Let z(q) = -4*q + 13. Let b be z(4). Let i be -2 + ((-198)/b)/3. Factor -18*k**3 + 19*k**2 + 20*k**4 - 35*k**2 + i*k**2.
2*k**2*(2*k - 1)*(5*k - 2)
Let b be 324/2160 - 1/(-4). Solve 2/5*w**5 - 8/5*w**2 + 0 + b*w - 8/5*w**4 + 12/5*w**3 = 0.
0, 1
Factor 135 + 10*x**3 - 11*x**3 + 2*x**3 - 11*x**3 - 30*x - 95*x**2.
-5*(x - 1)*(x + 9)*(2*x + 3)
Factor 19*n**2 + 2*n**3 + 0*n - 23*n**2 - 2*n + 3 + n**4.
(n - 1)**2*(n + 1)*(n + 3)
Let z(s) be the first derivative of 5*s**4/12 - 10*s**3/3 + 55*s**2/6 - 10*s + 90. Factor z(o).
5*(o - 3)*(o - 2)*(o - 1)/3
Let t(r) be the second derivative of 1/84*r**7 - 8*r**2 - 1/30*r**6 + 2/3*r**4 - 3*r - 1/5*r**5 + 4/3*r**3 + 0. Find s, given that t(s) = 0.
-2, 2
Let r = -140 + 142. Suppose -o - 3*o = -20. Factor -21*m**3 + 1 + m**r + o*m**2 - 1.
-3*m**2*(7*m - 2)
Let b(n) be the third derivative of 0*n**3 + 0*n + 5*n**2 + 0 - 11/48*n**4 + 1/120*n**5. Factor b(i).
i*(i - 11)/2
Let m(c) be the second derivative of c**8/6720 -