2 + 16*l**a - 2*l**2 + 6*l**2 + 144*l + 192 + 3*l**3 = 0.
-4
Let d be -3*-10*(-12)/(-900). Factor 2/5*a - d*a**3 - 4/5*a**2 + 4/5.
-2*(a - 1)*(a + 1)*(a + 2)/5
Let k(l) = 136*l + 1226. Let u be k(-9). Factor -2/15*c + 2/15*c**u - 4/15.
2*(c - 2)*(c + 1)/15
Let u(o) be the second derivative of o**7/14 - 17*o**6/10 + 66*o**5/5 - 50*o**4 + 104*o**3 - 120*o**2 - 2*o - 333. Factor u(z).
3*(z - 10)*(z - 2)**3*(z - 1)
Let u = 52832 - 52830. Factor -u*v + 20/3 - 2/3*v**2.
-2*(v - 2)*(v + 5)/3
Let o(i) = -3*i - 40. Let j be o(-18). Suppose 9*d**2 - 34*d**3 + j*d**3 + 17*d**3 = 0. What is d?
0, 3
Let n be (-4)/40*1119/(-15). Let r = 1/25 + n. Determine d so that -15/2*d**2 - 5/2*d**3 - 5/2 - r*d = 0.
-1
Suppose 3*y - 21 + 3 = 3*z, 0 = y + 3*z + 6. Factor 17*m**3 + 5*m**2 - 5 - 5*m - 27*m**3 + 15*m**y.
5*(m - 1)*(m + 1)**2
Let w = -6 + 11. Let g = 404 + -402. Factor 0*a**g + 7 + w*a**2 + 13 - 25*a.
5*(a - 4)*(a - 1)
Let h(c) = -103*c**3 - 413*c**2 + 28*c + 74. Let j(q) = 308*q**3 + 1237*q**2 - 83*q - 223. Let w(k) = 7*h(k) + 2*j(k). Determine n, given that w(n) = 0.
-4, -2/5, 3/7
Let c = 12 + -20. Let x be (-1)/c*-2 + 650/936. Factor -2/9*n**2 + x*n - 2/9.
-2*(n - 1)**2/9
Let w(g) be the second derivative of g**7/33 + 13*g**6/33 + 3*g**5/2 + 175*g**4/66 + 80*g**3/33 + 12*g**2/11 + g + 227. Find n such that w(n) = 0.
-6, -1, -2/7
Let -81/8*d**3 + 81/8*d - 5/2 + 2*d**2 + 1/2*d**4 = 0. Calculate d.
-1, 1/4, 1, 20
Let c(z) be the third derivative of -z**8/112 - z**7/70 + z**6/5 + 3*z**5/5 + 6*z**2 - 1. Factor c(h).
-3*h**2*(h - 3)*(h + 2)**2
Let x be (6/(-35))/((-17)/714). Let t(f) be the first derivative of -21/5*f**3 - 12/5*f - 2 + 147/20*f**4 - x*f**2. Find o, given that t(o) = 0.
-2/7, 1
Factor 0*p**2 + 0 + 21/2*p**3 + 0*p - 3/2*p**4.
-3*p**3*(p - 7)/2
Let b = 1489 - 1484. Factor -2/3*n**3 - 1/3*n**b + 0 + 0*n**2 + n**4 + 0*n.
-n**3*(n - 2)*(n - 1)/3
Let t(m) be the third derivative of m**6/40 - 12*m**5/5 - 151*m**4/8 - 51*m**3 - 2*m**2 - 110. Factor t(u).
3*(u - 51)*(u + 1)*(u + 2)
Let h be -1 - (-12 + (-8)/(-2)). Solve -13*r + 12*r - 3*r**2 + h*r = 0.
0, 2
Let l(y) be the first derivative of -y**4/18 - 8*y**3/27 + 11*y**2/9 - 4*y/3 - 374. Factor l(i).
-2*(i - 1)**2*(i + 6)/9
Suppose -4*l + 4 = 3*g - 1, 5*l + 3*g - 7 = 0. Let t(j) be the second derivative of -1/8*j**3 + 1/8*j**4 + 0 - 3/4*j**l + 3/80*j**5 + 4*j. Factor t(s).
3*(s - 1)*(s + 1)*(s + 2)/4
Factor -2*u**2 + 0 - 1/4*u**3 - 4*u.
-u*(u + 4)**2/4
Let u be ((-4)/(-2))/(-2) - 2 - -7. Let j be ((-4)/(-3))/(u - 2). Factor 0 + j*v**3 + 1/3*v**4 + 0*v + 1/3*v**2.
v**2*(v + 1)**2/3
Let c(j) be the second derivative of 3*j**7/280 + 19*j**6/180 + 7*j**5/24 + j**4/4 - 14*j**3/3 + 13*j. Let v(p) be the second derivative of c(p). Factor v(b).
(b + 1)*(b + 3)*(9*b + 2)
Let w = 14 + -12. Let c(p) = 2*p**2 - 3*p + 1. Let o be c(w). Solve -1/3*z**4 + 0 + 1/3*z + 1/3*z**2 - 1/3*z**o = 0 for z.
-1, 0, 1
Let j(y) = -y + 10. Let s be j(12). Let n be (s/5)/(15/(-100)). Factor -22/3*w - 4/3 - 26/3*w**2 - n*w**3.
-2*(w + 1)*(w + 2)*(4*w + 1)/3
Suppose 235*b - b**2 + 445*b - 27041 - 6*b**2 + 3921 + 2*b**2 = 0. What is b?
68
Let f(a) be the first derivative of a**6/69 - 4*a**5/115 + a**4/46 + 67. Factor f(p).
2*p**3*(p - 1)**2/23
Suppose 0 = -3*o + 12. Determine z so that 8*z**o - 8*z**4 - 3*z**4 - 3*z**2 + 6*z**2 = 0.
-1, 0, 1
Let -38/3*j + 2/3*j**2 + 60 = 0. Calculate j.
9, 10
Let w(g) be the first derivative of 0*g**2 + 0*g - 2/15*g**3 + 11/20*g**4 - 38. Determine h, given that w(h) = 0.
0, 2/11
Let u(p) = p - 1. Let n(z) = 3*z**3 - 4*z**2 + 12*z - 11. Let t be -2 + 3 + 0 - (20 - 21). Let w(o) = t*n(o) - 22*u(o). Factor w(y).
2*y*(y - 1)*(3*y - 1)
Let w(a) be the first derivative of a**6/12 + a**5/2 + 5*a**4/8 - 5*a**3/6 - 3*a**2/2 + 61. Suppose w(i) = 0. Calculate i.
-3, -2, -1, 0, 1
Let m(p) be the first derivative of -p**4/6 + 4*p**3/3 - 11*p**2/3 + 4*p + 24. Factor m(g).
-2*(g - 3)*(g - 2)*(g - 1)/3
Let s = 59 + -59. Let l be s/(3*(-10)/(-15)). Suppose 3/7*h**4 + l + 9/7*h**2 + 9/7*h**3 + 3/7*h = 0. Calculate h.
-1, 0
Let f = -20998862/35 - -600035. Let a = f - 460/7. Factor 1/5*s**4 - s**3 - 7/5*s + 2/5 + a*s**2.
(s - 2)*(s - 1)**3/5
Let b(m) = -m**2 - 1. Let n(t) = -16*t**2 + 355*t + 174. Let f(o) = 6*b(o) - n(o). Factor f(q).
5*(q - 36)*(2*q + 1)
Let o = -1665/4 - -4997/12. Factor w**2 + o*w**4 - 2/3*w**3 - 2/3*w + 1/6.
(w - 1)**4/6
Let a(w) be the second derivative of w**5/20 - 7*w**4/12 + 8*w**3/3 - 6*w**2 - 15*w - 2. Suppose a(f) = 0. What is f?
2, 3
Find k, given that 11*k**2 - 8*k**2 - 32 - 8*k**2 + 24*k + k**2 = 0.
2, 4
Suppose 0 = -16*m - 2*m + 270. Determine w, given that 11*w + 1012*w**3 - w + 15*w**4 - 5*w**5 - m*w**2 - 1017*w**3 = 0.
-1, 0, 1, 2
Let s = -45 + 47. Suppose -7 + 2*f**2 + 55 + 13*f + 7*f + s = 0. Calculate f.
-5
Let m(k) = -k**2 - 16*k - 46. Let z be m(-12). Suppose 3*a = 4*q - 12, 0 = 2*q + z*a + 5 + 3. Factor -36/5*f**3 + 42/5*f**4 + q - 8/5*f**2 - 11/5*f**5 + 0*f.
-f**2*(f - 2)**2*(11*f + 2)/5
Let q = 53 + -29. Factor -41 + 3*u - 3*u - 4*u**2 + 5 - q*u.
-4*(u + 3)**2
Let t be -2 + 2 - (5 + 2/(-2)). Let f be t - 7 - -8 - (-6 - -1). Factor -32/7*q**3 - 16/7*q**f + 2*q - 2/7.
-2*(q + 1)*(4*q - 1)**2/7
Let k be (-19)/((-171)/36) + 24/(-7). Let a(x) be the second derivative of 1/7*x**3 + 9*x + 0 - k*x**2 + 1/42*x**4. Factor a(v).
2*(v - 1)*(v + 4)/7
Let l(d) be the first derivative of 2*d**3/21 + 218*d**2/7 + 23762*d/7 + 31. Let l(c) = 0. Calculate c.
-109
Suppose -163 + 11 = -4*n + 3*o, 19 = n + 4*o. Determine i, given that -1 + 25*i + 1 - n*i - 5*i**2 = 0.
-2, 0
Suppose 0*r - 4*r = -p + 15, -2*p = -3*r - 15. Solve -2 - 2*y**2 + y**5 + 7*y**p - 10*y**3 + 2 = 0.
-1, 0, 2
Let d(b) be the second derivative of b**9/52920 + b**8/3920 + b**7/735 + b**6/315 - b**4/12 - 10*b. Let z(j) be the third derivative of d(j). Factor z(x).
2*x*(x + 2)**3/7
What is w in 28/5*w - 26/5 + 24/5*w**2 + 2/5*w**4 - 28/5*w**3 = 0?
-1, 1, 13
Let p(s) be the second derivative of -s**7/5040 + s**6/288 - s**5/40 + 3*s**4/4 + 38*s. Let j(g) be the third derivative of p(g). Factor j(t).
-(t - 3)*(t - 2)/2
Let h(g) be the first derivative of 0*g + 0*g**4 + g**2 + 5 - 1/30*g**6 + 0*g**3 + 1/60*g**5. Let m(x) be the second derivative of h(x). Factor m(f).
-f**2*(4*f - 1)
Let r(h) be the first derivative of 2*h**3/51 + 8*h**2/17 + 24*h/17 + 78. Factor r(z).
2*(z + 2)*(z + 6)/17
Suppose -15*n + 12*n = -6. Factor 5*o + 24*o + 35 - 59*o - 5*o**n.
-5*(o - 1)*(o + 7)
Let i be ((-8)/66)/((-38)/57). Suppose 3*g - 4*r - 16 = 8, -2*g - 5*r = 7. Factor 0 + 0*m - 4/11*m**3 - i*m**2 - 2/11*m**g.
-2*m**2*(m + 1)**2/11
Let o(p) be the first derivative of -8 - 20*p + 5/3*p**3 - 15/2*p**2. Suppose o(g) = 0. What is g?
-1, 4
Suppose 47*w - 43 = 3*q + 40*w, 0 = -3*q + 4*w - 22. Factor -1/5*r**q + 0 + 2/5*r.
-r*(r - 2)/5
Let h be -2 - (4 - 64/12 - (-187)/(-51)). Find s, given that 14/3*s**h - 8*s**2 + 2*s + 4/3 = 0.
-2/7, 1
Let f = 46 + -39. Suppose 3*c - 34 = 5*r, f - 39 = -4*c + 4*r. Factor 21*p**3 - 6*p**3 - 3*p**2 + 4 - 14*p**c.
(p - 2)**2*(p + 1)
Let d(b) = b**2 - 26*b - 60. Let y be d(28). Let j(p) = -p**2 + 4*p - 3. Let c(i) = -i**2 + 5*i - 4. Let s(f) = y*j(f) + 3*c(f). Factor s(n).
n*(n - 1)
Suppose 21 = 2*l + 5*l. Factor -1/5*z**2 + 1/5*z**l - 1/5*z + 1/5.
(z - 1)**2*(z + 1)/5
Let j(i) be the third derivative of 5/6*i**4 - 1/24*i**6 + 18*i**2 + 0 + 10/3*i**3 + 0*i - 1/12*i**5. Suppose j(l) = 0. Calculate l.
-2, -1, 2
Factor -2/5*w**5 + 0*w + 0 - 46/5*w**4 - 242/5*w**2 - 286/5*w**3.
-2*w**2*(w + 1)*(w + 11)**2/5
Let a(i) be the third derivative of -i**6/1260 + i**5/420 - 4*i**3/3 + 15*i**2. Let z(c) be the first derivative of a(c). Factor z(t).
-2*t*(t - 1)/7
Suppose 0 = z + 3*z - 2*k - 10, 2*k = -5*z + 26. Let a = -280 - -286. Let 3*j + 0*j**z - 7*j**4 + 3*j**5 + 7*j**4 - a*j**3 = 0. What is j?
-1, 0, 1
Suppose 10 = 7*d - 18. Factor 15*j**2 - 5*j**2 + d*j - 12*j**2.
-2*j*(j - 2)
Let 80*b**4 + 20*b**2 + 15*b**5 - 846*b**3 + 1715*b**3 - 784*b**3 = 0. Calculate b.
-4, -1, -1/3, 0
Let j be 133/((-380)/20) - -9. Suppose 2/11*w**5 + 0 - 16/11*w + 12/11*w**3 + 10/11*w**4 - 8/11*w**j = 0. Calculate w.
-2, 0, 1
Let w(y) be the third derivative of -y**8/840 + y**7/175 - y**6/150 + 2*y**2 + 8*y. Factor w(k).
-2*k**3*(k - 2)*(k - 1)/5
Let 