actor o(m).
-m**3*(m - 1)/3
Factor 41/12*y - 43/6 + 1/12*y**2.
(y - 2)*(y + 43)/12
Let f = -5466 + 5468. Suppose 0 - 1/2*x**5 - 4*x**3 + 2*x**f + 0*x + 5/2*x**4 = 0. What is x?
0, 1, 2
Factor -3 - 28*u - 808*u**2 - 21 + 804*u**2.
-4*(u + 1)*(u + 6)
Let a(l) be the second derivative of -1/18*l**4 - 1/9*l**3 + 2*l**2 + 0 + 19*l. Suppose a(g) = 0. Calculate g.
-3, 2
Suppose 7*w - 12 = 30. Suppose -13 + 3*b + 12*b + 5*b**2 - 1 - w = 0. Calculate b.
-4, 1
Let r(u) = -34*u + 8*u + 20*u - 3*u**2 - 192 - 38*u. Let a(w) = -3*w**2 - 43*w - 192. Let o(k) = 4*a(k) - 5*r(k). Solve o(s) = 0 for s.
-8
Let q be 87/42 - (5/15)/((-6)/(-27)). Determine m, given that 6/7*m**3 + 0 + 6/7*m**2 + 6/7*m**5 - 2*m**4 - q*m = 0.
-2/3, 0, 1
Factor -71*b + 8 + 88*b**2 + 1243*b**3 + 4 - 613*b**3 + 2*b**2 - 622*b**3.
(b + 12)*(2*b - 1)*(4*b - 1)
Let x(i) be the first derivative of -7*i**6/300 - i**5/150 - 7*i**2/2 - 7. Let h(j) be the second derivative of x(j). Solve h(n) = 0 for n.
-1/7, 0
Let u(p) be the second derivative of -7*p**4/36 - 11*p**3/9 - p**2/2 - 253*p. Factor u(k).
-(k + 3)*(7*k + 1)/3
Let s(l) be the second derivative of l**8/1680 - l**7/420 - l**6/120 - 11*l**3/3 - 8*l. Let j(t) be the second derivative of s(t). Determine m so that j(m) = 0.
-1, 0, 3
Let t(r) be the first derivative of -3*r**5/5 - 3*r**4/2 + 35*r**3 + 116. Factor t(g).
-3*g**2*(g - 5)*(g + 7)
Let j(x) = -9*x - 51. Let u be j(-6). Let w(f) be the second derivative of -2/9*f**u - 1/4*f**5 - f - 17/18*f**4 + 0 + 4/3*f**2. Factor w(r).
-(r + 2)*(3*r + 2)*(5*r - 2)/3
Suppose -p = 2*d + 3*p + 14, 5*p + 15 = -2*d. Let w(v) = -2*v**3 + 8*v**2 + 9*v. Let f(k) = 3*k**3 - 15*k**2 - 17*k. Let s(o) = d*w(o) - 3*f(o). Factor s(a).
a*(a + 2)*(a + 3)
What is q in -178/7*q - 2/7*q**2 + 0 = 0?
-89, 0
Suppose 13 = r + 6. Suppose 7*w - r = 28. Let 4/11*m**4 + 0 + 0*m - 2/11*m**w + 0*m**2 - 2/11*m**3 = 0. What is m?
0, 1
Let m = 252 - 754/3. Let m - t + 1/3*t**2 = 0. Calculate t.
1, 2
Let u(j) be the third derivative of -j**6/90 - j**5/30 + 4*j**3/3 - 2*j**2. Let g(b) be the first derivative of u(b). Find l, given that g(l) = 0.
-1, 0
Let v(j) = -j**2 + 2*j + 6. Let g be v(3). Find p, given that -p + p + 4*p**g - 4*p = 0.
-1, 0, 1
Let b(n) be the first derivative of 2/15*n**3 + 7 + 1/5*n**2 - 4/5*n. Factor b(o).
2*(o - 1)*(o + 2)/5
Suppose 8 = 2*g + r, g + 5*r - 14 = 8. Suppose -g*m - 5 + 15 = 0. Factor -8*a**3 + m*a**4 - 2*a**2 + 0*a + 12*a**2 - 4*a - 3*a**4.
2*a*(a - 2)*(a - 1)**2
Let s(z) be the third derivative of -z**6/160 - 7*z**5/80 + 5*z**4/32 + 75*z**3/8 + 164*z**2. Suppose s(j) = 0. Calculate j.
-5, 3
Let g be (84/126)/(4/3) + 1. Let 3/2*v + 15/2 - g*v**3 - 15/2*v**2 = 0. Calculate v.
-5, -1, 1
Factor -2 + 7/3*l + l**2.
(l + 3)*(3*l - 2)/3
Let n be (-172)/312 + (1 - 1). Let i = -2/39 - n. Let 0 + 0*l + 0*l**2 - i*l**3 + 5/4*l**4 = 0. Calculate l.
0, 2/5
Let w(l) be the second derivative of l**7/147 - 22*l**6/105 + 16*l**5/7 - 64*l**4/7 - 8*l - 1. Find d such that w(d) = 0.
0, 6, 8
Let s = -38 - -34. Let d be s/(-12) - 0/(2/(-2)). Factor 0 + y**2 - d*y**3 - 2/3*y.
-y*(y - 2)*(y - 1)/3
Let g(x) be the second derivative of -x**7/14 + 8*x**6/15 - x**5/6 - 2*x**4/3 - 5*x**3/18 + 2*x - 22. Let g(j) = 0. Calculate j.
-1/3, 0, 1, 5
Let r(t) be the second derivative of t**6/6 + 11*t**5/4 - 50*t**4/3 + 70*t**3/3 - 22*t - 2. Let r(n) = 0. Calculate n.
-14, 0, 1, 2
Let n(u) = -5*u**3 + 27*u**2 - 78*u + 96. Let m(h) = 3*h**3 - 18*h**2 + 53*h - 63. Let g(b) = 8*m(b) + 5*n(b). Factor g(p).
-(p - 2)*(p - 1)*(p + 12)
Suppose -2 = 4*q - 10. Suppose -8*s = -3*s + o - q, 0 = -2*s + 4*o - 8. Suppose -2/9*r**3 + s - 2/9*r + 4/9*r**2 = 0. Calculate r.
0, 1
Suppose 0 - 20/21*x**2 - 2/21*x**5 - 4/21*x**4 + 0*x + 26/21*x**3 = 0. Calculate x.
-5, 0, 1, 2
Let m = 232 - 229. Let n(r) be the first derivative of 1 - 18*r + 6*r**2 - 2/3*r**m. Factor n(v).
-2*(v - 3)**2
Suppose 2*h - 410544*h**3 + 0*h + 15*h**2 + 410508*h**3 - 324*h**4 = 0. What is h?
-1/6, 0, 2/9
Let y(p) be the third derivative of -1/112*p**8 + 0 + 26*p**2 + 0*p**4 + 0*p + 0*p**3 - 4/35*p**7 - 9/10*p**5 - 21/40*p**6. Factor y(g).
-3*g**2*(g + 2)*(g + 3)**2
Let l(v) be the second derivative of -1849*v**4/4 + 86*v**3 - 6*v**2 - 42*v. Solve l(p) = 0 for p.
2/43
Let g(s) be the second derivative of s**5/25 + s**4/40 - 13*s**2/2 + 15*s. Let z(j) be the first derivative of g(j). Factor z(q).
3*q*(4*q + 1)/5
Factor 2 - 186*j**2 - 47*j - 2 + 237*j + 15*j**3 - 109*j**2.
5*j*(j - 19)*(3*j - 2)
Let c(i) be the first derivative of i**6/36 - i**5/6 + 7*i**4/24 - i**3/6 - 469. Let c(o) = 0. Calculate o.
0, 1, 3
Let m(q) be the first derivative of q**3/5 - 174*q**2/5 + 69*q + 371. Factor m(o).
3*(o - 115)*(o - 1)/5
Let m(s) = s**3 - s**2 + 8*s + 2. Let t be m(-4). Let k = 112 + t. Determine u so that 0 + 6*u**k + 13/2*u**3 + 3*u**4 + 2*u + 1/2*u**5 = 0.
-2, -1, 0
Let a = 14977/8 - 1872. Suppose -a*w**2 + 0 - 5/8*w**3 + 0*w = 0. Calculate w.
-1/5, 0
Let w(s) be the second derivative of 3/4*s**2 - 41*s + 1/48*s**4 + 0 + 5/24*s**3. Factor w(z).
(z + 2)*(z + 3)/4
Let s(m) be the third derivative of m**6/160 - m**5/80 - m**4/8 + m**3/2 + 3*m**2 - 6*m. Factor s(c).
3*(c - 2)*(c - 1)*(c + 2)/4
Determine x so that 10*x**2 - 26*x**2 - 64*x - 5*x**3 + 2*x**3 + 2*x**3 = 0.
-8, 0
Let j be ((-30)/720)/(-1 - 7/(-8)). Suppose 0*n - j*n**4 + 0*n**3 - 1/3 + 2/3*n**2 = 0. What is n?
-1, 1
Let a(q) = q**2 + 4*q - 2. Suppose 3*w - 7*w + 33 = -5*u, w = 3*u + 17. Let j be a(u). Let -3*b**5 + b**4 + 0*b**4 - 3*b**3 + j*b**4 + 2*b**4 = 0. Calculate b.
0, 1
Factor -15*t**2 + 894*t - t**4 + 719*t + 36*t**3 - 417*t**2 + 0*t**4 + 115*t.
-t*(t - 12)**3
Let z(j) be the first derivative of -j**6/33 - 18*j**5/55 - 4*j**4/11 + 62. Factor z(u).
-2*u**3*(u + 1)*(u + 8)/11
Let i(b) be the first derivative of 2*b**3/3 - 3*b**2 - 20*b + 114. Factor i(a).
2*(a - 5)*(a + 2)
Let j(d) be the second derivative of -d**5/60 + d**4/2 - 6*d**3 + 13*d**2 - 11*d. Let v(q) be the first derivative of j(q). Factor v(p).
-(p - 6)**2
Let g = -182 - -8192/45. Let s(t) be the first derivative of 4 + 1/9*t**4 + 0*t**3 - 2/9*t - 2/9*t**2 + g*t**5. Suppose s(a) = 0. Calculate a.
-1, 1
Suppose -4*j = 2*o - 48, -1 = -3*j + 5*o + 9. Suppose d - 4*c = -j, -3*d - 5*c + 7 = -7*d. Factor -q**4 + 154*q + q**d - 154*q.
-q**2*(q - 1)*(q + 1)
Let g(y) be the third derivative of y**7/75 - 4*y**6/75 - y**5/50 + 4*y**4/15 - 4*y**3/15 + 5*y**2 + 4*y. Find m, given that g(m) = 0.
-1, 2/7, 1, 2
Suppose 0 = p - 6*p + 10. Let u = 1 + p. Factor -c**4 - 4*c**3 + 4*c**4 + u*c**4 - 2*c**5.
-2*c**3*(c - 2)*(c - 1)
Let p = -1/3454 - -1937/725340. Let w(r) be the third derivative of 0 + 0*r + 1/84*r**4 + p*r**5 + 1/42*r**3 + 2*r**2. What is j in w(j) = 0?
-1
Let c(z) = -102*z + 6021. Let b be c(59). Factor -b*o**3 - 12/5*o**4 + 0*o - 3/5*o**5 - 6/5*o**2 + 0.
-3*o**2*(o + 1)**2*(o + 2)/5
Let i(j) be the third derivative of -j**5/20 - 13*j**4/8 - 20*j**3 + 140*j**2 - 2. Factor i(n).
-3*(n + 5)*(n + 8)
Let t = -157/36 + 83/18. Find h such that -t*h**3 + 0 + 1/4*h**4 + 1/4*h - 1/4*h**2 = 0.
-1, 0, 1
Let r(u) be the second derivative of u**4/78 + 74*u**3/39 + 45*u + 2. Determine c so that r(c) = 0.
-74, 0
Let w be (-2)/(-6) + (-44)/(-12). Suppose 36*t - 48*t**3 - w*t + 6 - 16*t + 29*t + 72*t**2 = 0. Calculate t.
-1/4, 2
Let y(p) = 14*p**3 - 2*p**2 - 23*p + 23. Let i(r) = 185*r**3 - 25*r**2 - 300*r + 300. Let l(o) = 3*i(o) - 40*y(o). Factor l(t).
-5*(t - 2)*(t - 1)*(t + 2)
Let k(q) be the third derivative of -q**8/112 + 3*q**6/8 + q**5/2 - 15*q**4/2 - 36*q**3 - 2*q**2 - q. What is l in k(l) = 0?
-2, 3
Let r(h) be the second derivative of -5*h**7/21 + 17*h**6/6 - 7*h**5/4 - 10*h**4/3 + h + 1. Suppose r(w) = 0. Calculate w.
-1/2, 0, 1, 8
Suppose 0 = -10*q - 6*q + 128. Factor -11819 - 4*b**2 - q*b + 11819.
-4*b*(b + 2)
Factor 4/3*l**3 + 4*l - 4*l**2 - 4/3.
4*(l - 1)**3/3
Let m(n) be the third derivative of n**7/42 - 17*n**6/120 - 7*n**5/5 + 3*n**4/2 + 487*n**2 + 1. Determine a so that m(a) = 0.
-3, 0, 2/5, 6
Suppose 1/3*j + j**2 - 1/3*j**3 - 2/3 - 1/3*j**4 = 0. Calculate j.
-2, -1, 1
Factor 28*y**2 - 21*y**4 + 114*y**3 - 60*y + 23*y**2 - 116*y**2 + 11*y**2 + 21*y**2.
-3*y*(y - 5)*(y - 1)*(7*y + 4)
Let v be 86/(6/(-3)*(-27)/6). Let l = v + -838/99. Factor 18/11*t**5 + 