*l - 18. Determine o, given that 27*o**2 - 33*o**2 + 392*o**5 + 14*o**2 + 231*o**3 + 281*o**l - 4 - 868*o**4 - 40*o = 0.
-1/7, 1/2, 1
Factor 394/5*i**2 - 2/5*i**3 - 394/5 + 2/5*i.
-2*(i - 197)*(i - 1)*(i + 1)/5
Let x = -405723/91 - -58005/13. Solve 2/7*n**4 + 128/7 - x*n**3 - 192/7*n + 104/7*n**2 = 0.
2, 4
Let x(u) be the third derivative of u**8/1344 + 13*u**7/210 + 2*u**2 + 301*u. Factor x(d).
d**4*(d + 52)/4
Let v(z) = -z**3 + 14*z**2 + 227. Let n be v(15). Let s(j) be the first derivative of -1/15*j**5 + 0*j + 1/12*j**4 + 1/9*j**3 - 1/6*j**n + 3. Factor s(x).
-x*(x - 1)**2*(x + 1)/3
Suppose 0 = -140*v + 151*v - 121. Suppose v*g - 34 = 10. What is p in 2*p + 0 + 18*p**2 + 8*p**5 + 97/2*p**3 + 36*p**g = 0?
-2, -1/4, 0
Let q(p) = 14998*p + 165028. Let t be q(-11). Factor 0 - 1/2*h**4 - t*h**2 + 10*h**3 + 0*h.
-h**2*(h - 10)**2/2
Let s(y) be the third derivative of -2*y**2 + 0*y**4 - 4/15*y**5 + 0*y + 2/105*y**7 + 1/10*y**6 - 9 + 0*y**3. Factor s(h).
4*h**2*(h - 1)*(h + 4)
Suppose 2437 - 781 + 935*t**2 - 1968*t**2 - 664*t - 2*t**3 + 955*t**2 = 0. Calculate t.
-23, -18, 2
Suppose 3*n**2 - 13/4*n + 1/4*n**3 + 0 = 0. What is n?
-13, 0, 1
Factor -40*d - 26 - 35 + d**2 - 68.
(d - 43)*(d + 3)
Let w be -4 + (-26)/(-6) - 111/9. Let r be (-3)/w + -3*(-3)/252. Let 0 - r*t - 10/7*t**2 = 0. What is t?
-1/5, 0
Let 69169/9*o + 527/9*o**3 + 69695/9*o**2 + 0 + 1/9*o**4 = 0. What is o?
-263, -1, 0
Suppose 7 = 8*j - 1. Let q(a) = -10*a**3 - 2*a**2 + 9*a**3 + a + 2*a**2 - j. Let x(u) = -2*u**4 + 6*u**3 - 6*u + 4. Let v(o) = 2*q(o) + x(o). Solve v(r) = 0.
-1, 1
Let b(q) be the second derivative of 0*q**4 + 49*q + 1/150*q**5 - 2/5*q**2 - 7/45*q**3 + 0. Factor b(m).
2*(m - 3)*(m + 1)*(m + 2)/15
Let y(w) = 11*w - 11. Let f be y(1). Let c(r) be the second derivative of f - 1/72*r**4 + 7/18*r**3 - 14*r - 13/12*r**2. Find s such that c(s) = 0.
1, 13
Let s = -874149/4 + 218538. Find r such that s*r**5 + 3/4*r**4 - 3*r**2 - 3*r**3 + 0*r + 0 = 0.
-2, -1, 0, 2
Let i = 446 + -432. Let w be -4*(-65)/(-182)*i/(-6). Determine r so that 25/3 + 1/3*r**2 + w*r = 0.
-5
Let d(n) be the third derivative of n**5/210 + 529*n**4/42 + 279841*n**3/21 + 15*n**2 - 79. Factor d(s).
2*(s + 529)**2/7
Let a = -31 + 33. Suppose -4 - 4 = -a*u. Let -9*i**2 + 38*i**3 + 4*i - 11*i**2 - 10*i**3 - 12*i**u = 0. Calculate i.
0, 1/3, 1
Let d(z) = -z**4 + z**2 - 2*z + 1. Let m(h) = 5*h**4 + 4*h**3 + h**2 + 10*h - 13. Let b = 302 - 304. Let f(j) = b*m(j) - 14*d(j). What is l in f(l) = 0?
-1, 1, 3
Let q(v) be the third derivative of -7*v**6/24 - 59*v**5/2 - 7625*v**4/8 - 6250*v**3/3 - 24*v**2 - 6. Factor q(l).
-5*(l + 25)**2*(7*l + 4)
Let v(c) be the second derivative of -c**5/80 - c**4/8 - c**3/3 + 10*c - 33. Determine u, given that v(u) = 0.
-4, -2, 0
Let p(s) be the third derivative of s**5/45 + 5*s**4/2 + 72*s**3 + 2269*s**2 + 2. Factor p(b).
4*(b + 9)*(b + 36)/3
Let d = 65942/76965 + 4/10995. What is v in 0 + 0*v - 9/7*v**2 - d*v**5 - 6/7*v**3 + 3*v**4 = 0?
-1/2, 0, 1, 3
Let x(a) be the second derivative of a**7/14 - a**6 - 9*a**5/20 + 35*a**4 + 98*a**3 - 4*a - 14. Factor x(p).
3*p*(p - 7)**2*(p + 2)**2
Let u(d) be the third derivative of -d**7/70 - 3*d**6/5 - 11*d**5/10 + 3*d**4 + 23*d**3/2 + 163*d**2 + 2*d. Factor u(i).
-3*(i - 1)*(i + 1)**2*(i + 23)
Let y(t) be the third derivative of -2*t**7/105 + 7*t**6/30 + 73*t**5/15 + 77*t**4/6 - 104*t**3 - 8661*t**2. What is q in y(q) = 0?
-4, -3, 1, 13
Let p(i) be the third derivative of 0*i + 1/8*i**4 + 0 - 63*i**2 + 0*i**3 - 1/24*i**6 + 1/30*i**5. Factor p(o).
-o*(o - 1)*(5*o + 3)
Let m(b) be the third derivative of 17*b**5/240 + 155*b**4/96 + 3*b**3/4 + b**2 - 188. Factor m(g).
(g + 9)*(17*g + 2)/4
Let p = -5/11 + 41/66. Let l = 13/86 + 15/43. Solve 1/2*m**2 + p - l*m - 1/6*m**3 = 0 for m.
1
Let v(p) be the third derivative of -p**6/160 - 27*p**5/40 - 95*p**4/8 - 69*p**3 + 5*p**2 - 40*p - 1. Factor v(i).
-3*(i + 2)*(i + 6)*(i + 46)/4
Let u = 3222308/5 - 644456. Find p, given that u + 4*p + 3/5*p**2 = 0.
-14/3, -2
Let g be ((-55)/(-100) + 979/44 + -22)*5/7. Determine f, given that -2/7*f**2 + 6/7 - g*f = 0.
-3, 1
Let h(l) be the second derivative of -l**4/24 - 3*l**3/2 + 115*l**2/4 - 50*l. Factor h(y).
-(y - 5)*(y + 23)/2
Let u = 7400541/5 + -1480108. Factor 34/5*c + u*c**2 + 289/5.
(c + 17)**2/5
Find l such that -16*l**4 - 30*l**2 - 11 + 20*l + 23 + 28 + 11*l**4 - 25*l**3 = 0.
-2, 1
Factor 707934 + 361*a + 41*a - 19034 - 151*a + a**2 + 1409*a.
(a + 830)**2
Let v(c) be the second derivative of 0 + 1/15*c**3 + 11/30*c**4 - 3/5*c**2 - 17*c + 7/50*c**5. Factor v(g).
2*(g + 1)**2*(7*g - 3)/5
Let o(z) be the first derivative of -z**7/3780 + z**6/810 + z**5/180 - 205*z**3/3 + 203. Let r(g) be the third derivative of o(g). Factor r(k).
-2*k*(k - 3)*(k + 1)/9
Let o(u) be the second derivative of u**6/10 + 177*u**5/20 + 55*u**4 + 4516*u. Factor o(w).
3*w**2*(w + 4)*(w + 55)
Let b be 50*(-805)/(-700) + 13. Factor -6627/8*g**2 + b*g - 3/2.
-3*(47*g - 2)**2/8
Let u(i) be the second derivative of i**6/195 + 3*i**5/26 - 10*i**4/39 - 20*i**3/13 + 64*i**2/13 - 2335*i. Solve u(r) = 0.
-16, -2, 1, 2
Let y = -1945 - -1098. Let a = y + 851. Solve -5/2*p**5 - p - 17/2*p**a - 21/2*p**3 - 11/2*p**2 + 0 = 0.
-1, -2/5, 0
Let y(i) be the third derivative of -1/60*i**5 + 40*i**2 + 0 + 0*i + 1/24*i**4 - 1/120*i**6 + 1/6*i**3. Factor y(l).
-(l - 1)*(l + 1)**2
Let v(t) = -8*t**3 + 30*t**2 - 125*t + 96. Let o(b) = 2*b**3 - 10*b**2 + 42*b - 32. Let z(n) = -14*o(n) - 4*v(n). Factor z(y).
4*(y - 2)*(y - 1)*(y + 8)
Let l = -115 - -189. Solve 132 - 22 + 79*k**2 + 115*k - l*k**2 = 0 for k.
-22, -1
Suppose 3871*o - 3745*o + 2*o**2 - 26 + 122 - 5*o**2 + 168 = 0. What is o?
-2, 44
Let i(o) = -o + 7. Let h be i(8). Let c = h - -3. Factor 309*v**c - 5 + 14 - 6*v - 312*v**2.
-3*(v - 1)*(v + 3)
Let u(g) be the third derivative of 0*g**3 + 0*g + 0 - 1/50*g**5 - 40*g**2 - 13/20*g**4. Factor u(k).
-6*k*(k + 13)/5
Let t = 4765/12 - 397. Let a(z) be the second derivative of 0 - 1/2*z**2 - t*z**4 + 1/3*z**3 + 6*z. Determine d, given that a(d) = 0.
1
Suppose -35 = b - 5*t - 39, 0 = 3*b - 2*t + 53. Let o be (104/28 - 4)/(45/b). Factor 2/15*w**3 + 0*w**2 - o*w**4 + 0*w + 0.
-2*w**3*(w - 1)/15
Let z(c) be the third derivative of -c**6/360 + c**4/24 - 21*c**3/2 + 64*c**2. Let u(m) be the first derivative of z(m). Factor u(o).
-(o - 1)*(o + 1)
Let v(r) be the first derivative of -r**3/27 + 179*r**2/18 + 20*r + 8476. Determine b, given that v(b) = 0.
-1, 180
Let d(n) be the second derivative of n**4/4 - 63*n**3 - 381*n**2/2 + 1758*n + 2. Factor d(q).
3*(q - 127)*(q + 1)
Let r be (5 - (-52)/96*-9)*(-1)/((-66)/176). Factor 2*w**2 + 8 - 28/3*w - r*w**4 + w**3.
-(w - 2)**3*(w + 3)/3
Let c = -22/749 + 4009/8988. Let k(x) be the second derivative of 5/12*x**4 - 1/6*x**6 + c*x**3 - 5/84*x**7 + 0*x**2 + 23*x + 0*x**5 + 0. Factor k(a).
-5*a*(a - 1)*(a + 1)**3/2
Let g = -851 - -1320. Suppose 472*k - 6 = g*k. Factor 1/4*y**3 + y**k + 0*y + 0.
y**2*(y + 4)/4
Let o(x) be the second derivative of x**4/12 - 12*x**3 + 335*x**2/2 - 165*x - 10. Factor o(l).
(l - 67)*(l - 5)
Let d be (-3 - 843) + -3 + 2. Let o = -9307/11 - d. What is n in o*n**4 + 0*n + 8/11*n**3 + 4/11*n**5 + 0 + 2/11*n**2 = 0?
-1, -1/2, 0
Let o(p) = 5*p**2 - 3*p**2 - 5 - p + 9*p. Let s be o(-5). Factor 25 + v**2 - s*v - 5*v + 9*v + 11*v.
(v + 5)**2
Find l such that 1728*l**4 + 14*l + 222*l**2 + 350*l**2 + 4*l + 1251*l**3 + 348*l**2 - 324*l**5 - 653*l**2 = 0.
-1/3, -1/6, 0, 6
Factor 250*o**3 - 15*o**4 + 560*o**2 - 122*o**2 - 1180*o + 427*o**2 + 60*o**3 + 20*o**4.
5*o*(o - 1)*(o + 4)*(o + 59)
Let u(w) = -w**2 - 43*w - 40. Let y(d) = 2*d**2 + 85*d + 100. Let i(l) = -11*u(l) - 6*y(l). Factor i(c).
-(c + 5)*(c + 32)
Let u(l) be the second derivative of -l**3/6 + 2*l**2 + 7*l. Let j be u(2). Factor -16*q**3 - q**2 + 48*q + q**j - 36 + 5*q**2 + 3*q**2 - 4*q**4.
-4*(q - 1)**2*(q + 3)**2
Let y(c) be the second derivative of 43*c**6/21 + 291*c**5/70 - 29*c**4 - 460*c**3/21 + 24*c**2/7 - 5364*c. What is a in y(a) = 0?
-3, -2/5, 2/43, 2
Suppose 2*k + 26 = 5*f, 74*k - 79*k - 65 = -3*f. Factor 6/7*m**2 + f - 1/7*m**3 - 9/7*m.
-m*(m - 3)**2/7
Let -2200*h**2 - 138*h**3 + 71*h**3 + 334668*h + 71*h**3 - 21933185 + 3303333 + 196*h**2 = 0. Calculate h.
167
Let l(g) be the thir