 be j(2). Suppose -8/13 + 8/13*i + 6/13*i**o = 0. What is i?
-2, 2/3
Let k(x) be the second derivative of -4 - 1944*x**2 - 1/4*x**4 + 4*x - 36*x**3. Factor k(r).
-3*(r + 36)**2
Let s(f) be the second derivative of -f**8/1680 + f**7/210 - f**6/90 - 5*f**3/6 - f**2 + 129*f. Let i(c) be the second derivative of s(c). Factor i(k).
-k**2*(k - 2)**2
Let f = 485 - 465. Find r such that 4*r**2 + 6*r**4 - 25*r - 11*r - f*r - 26*r**3 + 72*r = 0.
-2/3, 0, 1, 4
Let q = 370 - 339. Let -11*l + 33*l**2 - 6 - 4 + q*l**2 - 65*l**2 = 0. Calculate l.
-10, -1
Let v(u) be the second derivative of -2*u + 1/45*u**6 + 8/9*u**3 - 7/3*u**2 + 5 + 1/3*u**4 - 4/15*u**5. Factor v(a).
2*(a - 7)*(a - 1)**2*(a + 1)/3
Let c(v) be the third derivative of -49*v**6/150 - 203*v**5/150 - 23*v**4/15 - 4*v**3/5 + 64*v**2 - 1. Suppose c(a) = 0. What is a?
-3/2, -2/7
Let w = -746 + 233. Let z = 9749/19 + w. Suppose 4/19*a + z*a**2 - 6/19 = 0. What is a?
-3, 1
Let j be 4/24 - (-14)/12. Let s be 204/(-6)*688/(-17544). Factor s*m**3 + 0 - 8/3*m + j*m**2.
4*m*(m - 1)*(m + 2)/3
Let z(j) be the second derivative of -4/3*j**2 + j - 4/9*j**3 + 1/6*j**4 + 11. Suppose z(s) = 0. What is s?
-2/3, 2
Determine y so that 42 + 44 - 59 + 24*y**5 + 112*y**4 - 25*y**2 - 965*y**2 - 189 - 90*y**3 - 1134*y = 0.
-3, -3/2, -1/6, 3
Suppose -145047*m + 145040*m = 0. What is g in -7/2*g**2 + m + 1/2*g**3 + 6*g = 0?
0, 3, 4
Let k(o) be the first derivative of -120 + 25/9*o**3 - 2/3*o - 23/6*o**2. Solve k(l) = 0.
-2/25, 1
Let j be 1 + 5 + -16 + (-598)/(-39). Factor -j - 2/9*n**4 - 2*n**3 - 20/3*n**2 - 88/9*n.
-2*(n + 2)**3*(n + 3)/9
Let q(y) be the first derivative of -8*y + 10/3*y**3 + 1/3*y**4 - 1/5*y**5 + 6*y**2 + 36. Let a(s) be the first derivative of q(s). Factor a(m).
-4*(m - 3)*(m + 1)**2
Solve 4/3*h**3 + 123008 + 592/3*h**2 + 27280/3*h = 0.
-62, -24
Let v = -88 + 100. Let c be (-2 - 8/(-6))/(v/(-54)). Factor -2*x**4 + 2*x**5 + 4*x**4 - 3*x**3 + c*x**3.
2*x**4*(x + 1)
Let b be 523/10 + (-1 + 0)*452/(-2260). Suppose -25/4*d**2 - b*d - 441/4 = 0. What is d?
-21/5
Let h(l) = 0*l**2 + 0*l**2 - l**2 - 66*l - 55. Let v(z) = -33*z - 27. Suppose 6*d + 4*y = -18, 0 = 4*d + 3*y - 14 + 26. Let a(g) = d*h(g) + 5*v(g). Factor a(w).
3*(w + 1)*(w + 10)
Let b(r) be the first derivative of r**3/30 - 341*r**2/20 + 6560. Factor b(t).
t*(t - 341)/10
Suppose 0 = -1091*q + 283*q + 2424. Find h such that 2/9*h**5 - 4/9*h**q + 0*h**4 + 0*h**2 + 2/9*h + 0 = 0.
-1, 0, 1
Let u(m) be the first derivative of 4/3*m**6 - 22 + 0*m - 2*m**3 + 2*m**5 - m**4 + 0*m**2. Factor u(j).
2*j**2*(j + 1)**2*(4*j - 3)
Let r = -171939/2 + 85974. Factor -r + 19/4*q - 1/4*q**2.
-(q - 18)*(q - 1)/4
Let c(b) be the second derivative of -b**7/11340 - b**6/648 - 121*b**4/12 - 24*b. Let f(p) be the third derivative of c(p). Factor f(o).
-2*o*(o + 5)/9
Factor 0 + 0*l + 183/7*l**3 + 18/7*l**2 + 345/7*l**4.
3*l**2*(5*l + 2)*(23*l + 3)/7
Factor -85*v + 702*v**3 + 171*v - 16*v**4 - 686*v**3 - 86*v + 4*v**5.
4*v**3*(v - 2)**2
Let o(v) be the second derivative of 10*v**3 + 229*v + 175/2*v**2 + 0 + 5/12*v**4. Factor o(x).
5*(x + 5)*(x + 7)
Factor -495/2 - 42*v + 3/2*v**2.
3*(v - 33)*(v + 5)/2
Let h(i) = -11*i**2 + 597*i - 958. Let o(q) = 4*q**2 - 204*q + 320. Let u(l) = 3*h(l) + 8*o(l). Solve u(n) = 0 for n.
2, 157
Let r(k) be the second derivative of 127*k + 0 + 184/3*k**3 - 14*k**2 + 844/5*k**5 - 224/3*k**6 - 433/3*k**4 + 128/21*k**7. Factor r(o).
4*(o - 7)*(o - 1)*(4*o - 1)**3
Suppose -w + 6 = 3*g - 0, 2 = g + 3*w. Let o = 6130 + -12165/2. Solve 57*a**g - 26*a + 25/2*a**4 + 4 - o*a**3 = 0.
2/5, 1, 2
Suppose 17*g = 742 + 261. Find s such that 54*s + 6*s**3 + 5*s**2 + g*s**2 - 76*s = 0.
-11, 0, 1/3
Let z(u) be the first derivative of -2*u**5/35 + u**4/2 + 8*u**3/7 - 100*u**2/7 + 32*u + 508. Suppose z(x) = 0. Calculate x.
-4, 2, 7
Suppose -5*s + 6 = -2*k, -2 = -3*s - 0*s + 2*k. Let i(j) be the first derivative of 0*j**5 - 1 - 1/18*j**6 + 0*j + 0*j**s + 0*j**3 + 1/12*j**4. Factor i(n).
-n**3*(n - 1)*(n + 1)/3
Let s = -1/17514 - -35039/192654. Factor -1/11*l**4 + s*l - 2/11*l**3 + 0*l**2 + 1/11.
-(l - 1)*(l + 1)**3/11
Let 18*a**3 - 1222*a**5 + 2*a**3 - 16*a + 1218*a**5 = 0. Calculate a.
-2, -1, 0, 1, 2
Let q(h) = -3*h**2 + 490*h + 17405. Let b be q(-30). Find c such that 1/6*c**b - 17/6*c**4 + 0 + 0*c - 32/3*c**2 + 40/3*c**3 = 0.
0, 1, 8
Let y = 2914813/298956 - -2/74739. Determine j so that -57/4*j**3 - 3/2*j + 0 - 33/4*j**2 - y*j**4 - 9/4*j**5 = 0.
-2, -1, -1/3, 0
Let l(g) be the third derivative of -g**6/600 - 76*g**5/75 - 4681*g**4/24 - 22801*g**3/15 + 9*g**2 - 2*g + 8. Factor l(f).
-(f + 2)*(f + 151)**2/5
Let m be -2 - 565/(-339)*(-36)/(-10). Let s(g) be the first derivative of -1/4*g**m + 0*g - 17 + 3*g**2 + 5/3*g**3. Solve s(c) = 0 for c.
-1, 0, 6
Let b(j) be the first derivative of j**4/6 + 70*j**3/3 + 1225*j**2 + 65*j - 180. Let l(y) be the first derivative of b(y). Find v, given that l(v) = 0.
-35
Let x(w) = 44 + 36*w - 24*w**2 - 42*w**2 + 62*w**2. Let u(s) = 4*s**2 - 34*s - 43. Let f(z) = -4*u(z) - 5*x(z). Factor f(p).
4*(p - 12)*(p + 1)
Let x be (-2)/(-11) + ((166/(-3320))/(44/2490))/(-3). Factor -x*t**2 + 3/8*t + 0.
-3*t*(3*t - 1)/8
Let a be (-2)/((-1 + -5)/(-108)). Let i be ((-7)/(315/a))/(4/10). Factor 2/3*p - 1/3*p**i - 1/3.
-(p - 1)**2/3
Let g(d) = 357*d**2 - 984*d - 1185. Let r(c) = -45*c**2 + 123*c + 148. Let k(l) = 4*g(l) + 33*r(l). Factor k(a).
-3*(a - 3)*(19*a + 16)
Let x = 42075 - 294498/7. Suppose 9/7*o**5 - 8/7*o - x*o**4 - 4/7 + 11/7*o**3 + 19/7*o**2 = 0. Calculate o.
-2/3, -1/3, 1, 2
Determine m, given that 14112 - 22950*m**2 + 13*m**5 + 136*m**4 + 8702*m**2 + 300*m**3 - 10*m**5 - 420*m + 116*m**3 + m**5 = 0.
-21, -1, 1, 8
Let s(m) be the third derivative of 1/210*m**5 + 2/21*m**4 + 52*m**2 - 3/7*m**3 + 0*m + 2. Factor s(z).
2*(z - 1)*(z + 9)/7
Let d(v) = 10*v**2 + 18*v - 4. Let c be d(-2). Suppose 0 + 45/4*o**5 + 10*o**2 + 95/2*o**4 + 55*o**3 + c*o = 0. What is o?
-2, -2/9, 0
Let r be 1 + 6/(-9) + (-1546)/(-6). Factor -2870 + 41 - 4293 + r*k - 3*k**2 + 1575.
-3*(k - 43)**2
Suppose 0 = v - 77 + 13. Suppose 65*m = v*m + 2. Solve 2/5*j**3 + 0 - 4/15*j**4 - 2/15*j**5 - 8/15*j + 8/15*j**m = 0 for j.
-2, 0, 1
Let u = 8711 + -365861/42. Let m(l) be the second derivative of -14*l - 1/21*l**3 - 6/7*l**2 + u*l**4 + 0. Suppose m(f) = 0. Calculate f.
-2, 3
Suppose 12*y = 8*y + 16. Factor 15*r**3 - 87*r**y - 5*r**2 + 90*r**4 + 12*r + 29*r**2.
3*r*(r + 1)*(r + 2)**2
Suppose 3*a + 4 = u, -100*u - 4 = -101*u + 5*a. Factor -104/7*g**3 - 46/7*g + 5/7 + 129/7*g**2 + 16/7*g**u.
(g - 5)*(g - 1)*(4*g - 1)**2/7
Factor -2 - 14641/2*n**2 + 242*n.
-(121*n - 2)**2/2
Suppose 4*b = 5*b + 16. Let t be b*2*(-2)/4. Factor -13*u + t*u**3 + 8*u**2 + 6*u + 4 - 3.
(u + 1)*(4*u - 1)**2
Let w(f) = 15*f**2 - 205*f + 1200. Let m(z) = 14*z**2 - 210*z + 1195. Let h(y) = -10*m(y) + 9*w(y). Suppose h(t) = 0. Calculate t.
5, 46
Let j = 1620446 + -4861336/3. Factor -2*z**3 + 0 + 2/3*z**5 - 4/3*z - j*z**4 + 10/3*z**2.
2*z*(z - 1)**3*(z + 2)/3
Let s(d) = 4*d**2 + 39*d - 28. Let i be s(-15). Let n = i - 287. Factor 1/3*j**2 + n - 1/3*j**3 + 0*j.
-j**2*(j - 1)/3
Let a(b) be the first derivative of -b**5/30 - b**4/2 - 3*b**3 + 11*b**2/2 - 111. Let q(h) be the second derivative of a(h). Factor q(w).
-2*(w + 3)**2
Suppose 271*j - 260*j - 33 = 0. Let -a + 6*a**2 - j*a**3 - 22*a + 12 + 44*a = 0. What is a?
-1, 4
Let u(f) be the first derivative of f**6/6 - 7*f**5/5 + 7*f**4/2 - 8*f**3/3 + 769. Factor u(o).
o**2*(o - 4)*(o - 2)*(o - 1)
Let z = -394 + 393. Let t be (z/10)/(12/5 + -3). Factor 1/6*s**4 + t*s**3 - 1/6*s**2 - 1/6*s + 0.
s*(s - 1)*(s + 1)**2/6
Let h(a) be the third derivative of -a**5/180 + 161*a**4/72 - 53*a**3/3 - 4991*a**2. Suppose h(l) = 0. What is l?
2, 159
Let m = -138/59 + 926/295. Factor -m*h**4 - 4/5*h + 0 + 1/5*h**5 + 4/5*h**2 + 3/5*h**3.
h*(h - 2)**2*(h - 1)*(h + 1)/5
Factor 62/3*x - 1/6*x**2 + 125/6.
-(x - 125)*(x + 1)/6
Factor -25094211 + 17676*c**3 - 23680*c**3 - 474905789 - 4*c**4 - 3006000*c**2 - 503000000*c.
-4*(c + 1)*(c + 500)**3
Let c(a) = 13*a**3 + a**2 + 10*a - 10. Let k be c(1). Factor -5*f - 24 - 4*f + 16*f - f + k*f + 4*f**2.
4*(f - 1)*(f + 6)
Let j = -70 - -77. Suppose -j*m = 2*m - 2979. Factor -11*x + 5*x**3 - m*x**2 + x + 6 + 333*x**2 - 3*x**3.
2*(x - 