9*l**4 - 36*l**2 - 128 + 16*l**2 = 0.
-2, -1, 1, 4
Let j(b) = 4*b**2 - 384*b - 248. Let o(g) = 7. Let r(h) = j(h) - 20*o(h). Factor r(x).
4*(x - 97)*(x + 1)
Let d be (-156)/(-360)*6 + (-12)/(-8)*(-46)/(-69). Suppose -24/5 - d*j - 3/5*j**2 = 0. What is j?
-4, -2
Suppose 5*n - 10*f + 22*f - 19960 = 17*f, -40 = -5*f. Factor -625/2*d**4 + n*d**3 + 40960*d - 32768 - 19200*d**2.
-(5*d - 16)**4/2
Let r = 1934 - 1329. Let m be 100/99 + 330/r. Suppose m - 2/9*x**2 - 4/3*x = 0. What is x?
-7, 1
Let s(i) be the first derivative of -2*i**6/3 - 12572*i**5/5 - 2474323*i**4 - 29616484*i**3/3 - 14795680*i**2 - 9859600*i + 1909. Factor s(g).
-4*(g + 1)**3*(g + 1570)**2
Let i be (-808)/56 - (-12)/(-21). Let k be (i/105)/(3/(-3 - 3)). Factor 2/7*v**2 - 1/7*v**5 - k*v**4 + 0*v**3 + 1/7*v + 0.
-v*(v - 1)*(v + 1)**3/7
Let d = -819056/13 - -63006. Determine w, given that 0*w - 2/13*w**4 + 0 - 20/13*w**3 + d*w**2 = 0.
-11, 0, 1
Let f = 1/165 + 43/165. Let c(j) be the first derivative of 0*j - 2/3*j**6 + 0*j**2 - 7/5*j**4 + 44/25*j**5 + 6 + f*j**3. Factor c(h).
-4*h**2*(h - 1)**2*(5*h - 1)/5
Let w be (31 - 52)*8/6. Let s be ((-35)/w - 1)/((-2)/(-90)). Factor s + 15/2*v + 5/4*v**2.
5*(v + 3)**2/4
Let s(q) be the third derivative of -q**6/2340 - 2*q**5/195 - 5*q**4/52 + 9*q**3 - 6*q**2 - 3*q. Let x(d) be the first derivative of s(d). Factor x(u).
-2*(u + 3)*(u + 5)/13
Let z be 84/1764 + (-22)/(-42). Solve z*n**3 + 36/7*n - 24/7*n**2 + 0 = 0 for n.
0, 3
Let i(f) be the first derivative of 2*f**3/15 - 189*f**2/5 - 76*f - 210. Suppose i(k) = 0. What is k?
-1, 190
Let d(a) be the third derivative of -a**6/24 + 95*a**4/6 + 200*a**3 + a**2 - 233*a. Factor d(x).
-5*(x - 10)*(x + 4)*(x + 6)
Suppose 16 = 4*p, -4*p + 2*p = -3*t - 50. Let f be t/(-6)*3 - 0. Factor 20*x**3 - f*x - 8*x**4 + 28*x**2 - x - 8*x**4.
-4*x*(x - 2)*(x + 1)*(4*x - 1)
Let d(g) = -g**4 + 220*g**3 + 553*g**2 + 299*g. Let c(s) = -s**4 + 166*s**3 + 415*s**2 + 224*s. Let a(f) = 11*c(f) - 8*d(f). Solve a(y) = 0 for y.
-1, 0, 24
Let n(c) = -35*c**5 - 15*c**4 - 10*c**3 + 5. Let t(k) = 35*k**5 + 16*k**4 + 12*k**3 - 6. Let g = -293 + 299. Let s(x) = g*n(x) + 5*t(x). Factor s(i).
-5*i**4*(7*i + 2)
Let u be 1100/(-990)*(3 + 42/(-10)). Find f such that -106/3*f - 34*f**2 - u = 0.
-1, -2/51
Let p(y) = -y**2 + 15*y - 9. Let z(d) = 14*d - 13. Let r be z(3). Let s = r - 35. Let x(n) = -n**2 + 14*n - 10. Let w(g) = s*p(g) + 7*x(g). Factor w(k).
-(k - 4)**2
Let a(u) be the third derivative of -u**8/84 - 2*u**7/7 + 545*u**2 - 1. Let a(s) = 0. What is s?
-15, 0
Let 70/3*x**2 + 244/3*x**3 + 68/3*x**5 + 0 + 230/3*x**4 - 4*x = 0. Calculate x.
-3/2, -1, 0, 2/17
Factor 1575/4*d + 6125/4 + 1/4*d**3 + 75/4*d**2.
(d + 5)*(d + 35)**2/4
Let x = -10009 + 300271/30. Let a(n) be the third derivative of 11*n**2 + 1/15*n**5 + 0 + 0*n**3 + 0*n - n**4 + x*n**6. Factor a(b).
4*b*(b - 2)*(b + 3)
Let k(l) be the first derivative of 2*l**6/3 - 52*l**5/5 + 46*l**4 + 40*l**3/3 - 350*l**2 - 500*l + 947. Suppose k(i) = 0. Calculate i.
-1, 5
Let m(d) be the third derivative of d**5/180 - d**4/4 + 65*d**3/18 - 1330*d**2. Factor m(j).
(j - 13)*(j - 5)/3
Let c(t) be the first derivative of 2/45*t**6 + 2/75*t**5 + 0*t + 41 - 1/5*t**2 + 22/45*t**3 - 11/30*t**4. Solve c(d) = 0.
-3, 0, 1/2, 1
Solve 661*s**3 + 2941*s + 586*s**3 - 1242*s**3 - 1180*s**2 - 1170 - 596*s = 0 for s.
1, 234
Let k be (-10196)/(-45) - (-72)/60. Let y = 228 - k. Let -2/9*c - y*c**2 + 4/3 = 0. Calculate c.
-3, 2
Let b(w) = 4*w**2 - 293*w + 304. Let j(m) = -m**2 - 2*m. Let v(k) = 3*b(k) + 15*j(k). Factor v(f).
-3*(f - 1)*(f + 304)
Suppose 23 = -4*o + 823. Let t(k) = -k**2 + 5*k + 21. Let b be t(7). Factor -3 - o*w**2 - 2*w - b - 80*w**3 - 18*w - 65*w.
-5*(w + 2)*(4*w + 1)**2
Let c = 1372201 + -15094209/11. Find m such that 8/11*m**3 - c*m**4 + 4/11*m**2 - 18/11 - 24/11*m = 0.
-1, 3
Let w = -64345 - -64348. Determine d so that 2/7*d**2 + 2/7*d**w + 0 + 0*d = 0.
-1, 0
Suppose h + h - 9 = -5*f, 5*f + 33 = 4*h. Let c = 6 - h. Let v(z) = 6*z**2 - 16*z + 10. Let y(a) = a**2 - 1. Let l(k) = c*v(k) - 4*y(k). Factor l(j).
-2*(j - 1)*(5*j - 3)
Factor -19652/5*m**2 + 0 + 0*m - 6936/5*m**3 - 816/5*m**4 - 32/5*m**5.
-4*m**2*(2*m + 17)**3/5
Solve -103*a**3 - 535*a**4 + 29 + 62*a**2 + 83*a**2 - 350*a**5 - 10*a + 73*a**3 - 29 = 0 for a.
-1, 0, 1/14, 2/5
Let i(f) be the second derivative of -f**5/40 - 17*f**4/8 - 273*f**3/4 - 3969*f**2/4 + 7202*f. Factor i(x).
-(x + 9)*(x + 21)**2/2
Let s = -11039/9 - -1227. Let d(t) be the second derivative of 12*t + 0 + s*t**3 + 4/3*t**2 - 1/6*t**4. Factor d(z).
-2*(z - 2)*(3*z + 2)/3
Suppose -2*u - 11*u + 26 = 0. Let j(c) = c**5 - c**4 - c**2 + c. Let m(s) = -s**5 - 8*s**3 + 18*s**2 + 14*s - 32. Let q(n) = u*j(n) + m(n). Factor q(l).
(l - 2)**3*(l + 2)**2
Let j(s) be the third derivative of -s**8/1008 - 41*s**7/315 - 241*s**6/72 + 5083*s**5/45 - 529*s**4/2 - 199*s**2 - 3*s + 2. Suppose j(o) = 0. What is o?
-46, 0, 1, 9
Let n = 1124678/329 + 4342/47. Find c, given that n + 6/7*c**2 + 768/7*c = 0.
-64
Let d(l) be the second derivative of -l**4/9 + 502*l**3/9 - 500*l**2/3 - 2*l + 190. Suppose d(s) = 0. What is s?
1, 250
Let f(r) be the first derivative of -5/4*r**4 + 60*r + 35 + 0*r**3 + 65/2*r**2. Factor f(x).
-5*(x - 4)*(x + 1)*(x + 3)
Let x(i) be the second derivative of i**5/60 - 5*i**4/24 + 2*i**3/3 + 20*i**2 + 29*i. Let g(s) be the first derivative of x(s). Let g(f) = 0. What is f?
1, 4
Factor 24823058/11 + 14092/11*o + 2/11*o**2.
2*(o + 3523)**2/11
Suppose 4*j + 2*k - 38 = 0, -j + 7 = -0*j - 2*k. Let i be -4 + -18*j/(-6). Factor -4*h**2 + 3*h**2 - 3*h**2 + i - 7.
-4*(h - 2)*(h + 2)
Factor -14 + 32/9*d - 2/9*d**2.
-2*(d - 9)*(d - 7)/9
Let c be ((-118)/(-6) + -3)*3. Let a be ((-366)/8)/((-36)/96). Solve -52*n**2 - c - 23*n - a*n - 6*n**3 + n**3 = 0 for n.
-5, -2/5
Let y = -99 - -102. Factor -51*d - 43 + 0*d**3 + y*d**3 - 21*d**2 - 17 + 33.
3*(d - 9)*(d + 1)**2
Let x(s) be the third derivative of -s**5/450 + s**4/36 + 14*s**3/45 - 7*s**2 - s + 30. Factor x(z).
-2*(z - 7)*(z + 2)/15
Let -13 + 39 - 17 - 15 - q**4 - 5*q**3 + 5*q + 7*q**2 = 0. Calculate q.
-6, -1, 1
Suppose 143/6*q**3 + 0 - 4*q**4 + 1/6*q**5 - 24*q + 4*q**2 = 0. Calculate q.
-1, 0, 1, 12
Let u(q) be the third derivative of -q**5/12 - 25*q**4/4 + 165*q**3/2 - 295*q**2 - 2. Find a such that u(a) = 0.
-33, 3
Let c(w) be the second derivative of 13*w**4/12 - 16*w**3 + 192*w**2 - 76*w. Let m(g) = 4*g**2 - 32*g + 128. Let d(f) = -4*c(f) + 14*m(f). Factor d(n).
4*(n - 8)**2
Let l(u) = 2*u**2 - 26*u - 18. Let b be l(13). Let a be ((-354)/b - 3) + -6. Factor -a + 16/3*i - 2/3*i**2.
-2*(i - 4)**2/3
Let d(v) = v**2 + 4*v. Let h(a) = -a**3 - 5*a + 12. Let j be h(2). Let i(u) = -5*u + 2*u + 2*u. Let y(t) = j*i(t) - d(t). Factor y(z).
-z*(z - 2)
Factor 151875/4 + 3/4*j**2 - 675/2*j.
3*(j - 225)**2/4
Let w(q) be the third derivative of -q**6/24 - 5*q**5/4 - 35*q**4/3 - 50*q**3 + 242*q**2 + q. Solve w(r) = 0.
-10, -3, -2
Let l(y) be the first derivative of 5*y**7/56 - y**6/6 + y**5/10 - 2*y**3/3 - 17*y + 29. Let r(k) be the third derivative of l(k). Solve r(t) = 0 for t.
0, 2/5
Factor 0 - 2/9*g**2 - 206/9*g.
-2*g*(g + 103)/9
Let n(h) = -4*h - 26. Let d be (-90)/14 + (-36)/63. Let b be n(d). Suppose -b + 2*s**2 + 2*s**2 + s**2 + 3*s - 6*s**2 = 0. What is s?
1, 2
Let l(u) be the third derivative of 2*u**3 - 1/5*u**5 + 0 - 1/6*u**4 - 6*u**2 - 4*u + 1/30*u**6. Suppose l(a) = 0. Calculate a.
-1, 1, 3
Let c(i) = i. Let x be c(3). Solve 29*h**4 - 2*h**3 - 28*h**4 - 6*h**2 + 5*h**x + 2*h - 10*h = 0.
-4, -1, 0, 2
Let p(i) be the first derivative of -i**4/2 - 8*i**3 - 45*i**2 - 100*i - 622. Find r, given that p(r) = 0.
-5, -2
Let i be ((-5094)/846 - -6)/(1 - -5). Let l = 63/94 + i. Suppose -l*t + 1/3 + 1/3*t**2 = 0. What is t?
1
Let o(g) be the first derivative of -g**4/16 + 13*g**3/6 + 8*g**2 - 56*g + 3706. Factor o(t).
-(t - 28)*(t - 2)*(t + 4)/4
Suppose 0 = 15*z - 224 + 1079. Let c be (-4)/(z*5/30). Factor c*a**4 - 2/19*a + 0 + 0*a**3 - 6/19*a**2.
2*a*(a - 1)*(2*a + 1)**2/19
Factor -724*z + 243602 + 1973*z**2 - 672*z - 1971*z**2.
2*(z - 349)**2
Suppose 2384 = -3*l + 2393. Suppose 4*d + o = -l + 22, -2*d - o = -11. Factor -1 + 9/2*v**d - 13/2*v - 3/2*v**3 - 23/2*v**2.
(v - 2)*(v + 1)*(3*v + 1)**2/2
Factor -8/13*g**2 - 22/13*g