 + 1607/2379. Factor w*x**4 + 10/3*x**3 + 0 + 8/3*x + 16/3*x**2.
2*x*(x + 1)*(x + 2)**2/3
Let i(g) be the second derivative of -7/30*g**5 - 3*g**3 + 1/60*g**6 + 5/4*g**4 - 2*g + 5/2*g**2 + 0. Let x(v) be the first derivative of i(v). Solve x(t) = 0.
1, 3
Factor -36*b - 75*b**2 - 42*b**4 + 80 - 81*b + 32*b + 85*b**3 + 37*b**4.
-5*(b - 16)*(b - 1)**2*(b + 1)
Let y = -25847 - -129237/5. Factor 14/5*j - 4 - y*j**2.
-2*(j - 5)*(j - 2)/5
Let x = 150 - 262. Let j = 114 + x. Factor 4/3*o**j - 8*o + 12.
4*(o - 3)**2/3
Factor -19/3*f + 34/3 + 1/3*f**2.
(f - 17)*(f - 2)/3
Determine n, given that -5*n**4 - 6*n**3 + 1176*n**2 - 1172*n**2 + 7*n**4 = 0.
0, 1, 2
Determine n, given that 3*n - 2*n**2 + 1/3*n**3 + 0 = 0.
0, 3
Let h be ((-3)/312*2)/((-30)/8). Let j = 578/1365 + h. Factor 5/7*r**3 - 2/7 + j*r**4 - 5/7*r - 1/7*r**2.
(r - 1)*(r + 1)**2*(3*r + 2)/7
Let t(j) be the first derivative of -2*j**3/27 + 38*j**2/9 - 114. What is d in t(d) = 0?
0, 38
Let n(q) be the third derivative of -q**7/840 + q**5/120 + 8*q**3/3 - 10*q**2. Let z(m) be the first derivative of n(m). Factor z(a).
-a*(a - 1)*(a + 1)
Factor -7/12 + 2/3*h - 1/12*h**2.
-(h - 7)*(h - 1)/12
Let n(b) be the third derivative of b**9/1512 - b**8/420 + b**6/90 - b**5/60 - 15*b**3/2 + 21*b**2. Let l(v) be the first derivative of n(v). Factor l(t).
2*t*(t - 1)**3*(t + 1)
Let a = -48 - -48. Let g(t) be the third derivative of 0*t + 1/25*t**5 + 0 + 1/350*t**7 + 11/600*t**6 + 4*t**2 + a*t**3 + 1/30*t**4. Solve g(j) = 0 for j.
-2, -1, -2/3, 0
Let g = -64267/3 + 21425. Factor 8/3 + 2/3*y**2 - g*y.
2*(y - 2)**2/3
Let z = 383 + -227. Let m be z/6 - (0 + 1). Factor -34*h**3 - 41*h**3 - 6 + 63*h**2 + h**4 + m*h**4 - 9*h + h**4.
3*(h - 1)**3*(9*h + 2)
Let s = -8 + 13. Let o = s + -3. Factor 8 + 20*l + 7*l**3 + 5*l**3 - 44*l**o + 7*l**3 - 3*l**3.
4*(l - 2)*(l - 1)*(4*l + 1)
Let n = 1682 - 1682. Find d such that -1/2*d**4 + 0*d + 0*d**2 + n*d**3 + 0 = 0.
0
Let s(g) be the first derivative of g**8/6720 - g**7/1680 - g**6/360 + g**5/240 + g**4/32 + 10*g**3 + 7. Let w(c) be the third derivative of s(c). Factor w(u).
(u - 3)*(u - 1)*(u + 1)**2/4
Suppose 2*f + 2*s - 10 = 0, 2*f = 3*f - s - 7. Factor 3*n**2 + 15*n - f + 11*n**2 - 3*n**2 + 10*n**2.
3*(n + 1)*(7*n - 2)
Let o be 4/(-18) - (-714)/54. Let c = o + -11. Factor 4*h + h + 3*h**2 - 6*h - 4*h**c.
-h*(h + 1)
Let s(y) be the second derivative of -y**8/1120 - y**7/120 - y**6/36 - y**5/30 - 13*y**3/6 + 3*y. Let p(a) be the second derivative of s(a). Factor p(v).
-v*(v + 2)**2*(3*v + 2)/2
Let p(w) be the first derivative of 3*w**5/5 - 17*w**3 - 54*w**2 - 60*w + 400. Factor p(q).
3*(q - 5)*(q + 1)*(q + 2)**2
Factor -1448*k - 1975*k**3 + 1875*k**3 + 1296 + 8180*k**2 - 5048*k.
-4*(k - 81)*(5*k - 2)**2
Let z(i) = -2. Let w(o) be the third derivative of o**5/60 - 5*o**4/24 + 8*o**3/3 - 16*o**2. Let b(r) = 2*w(r) + 10*z(r). Factor b(x).
2*(x - 3)*(x - 2)
Let o(a) = 2*a**3 - a. Let j(w) = 3*w**4 + 24*w**3 + 51*w**2 + 27*w. Let u(y) = -j(y) - 3*o(y). Solve u(v) = 0.
-8, -1, 0
Suppose 0*r + 11*r = 55. Suppose -g = r*c - 17, -g - 10 = -2*c - 2*c. Find y such that 4/9 + 14/9*y - 8/9*y**g = 0.
-1/4, 2
Let n(g) be the first derivative of g**7/5880 + g**6/2520 - g**5/168 + g**4/56 + g**3 + 13. Let y(j) be the third derivative of n(j). Solve y(m) = 0.
-3, 1
Let p = 1960/9 + -1958/9. Factor 2/9*c**2 - p*c + 0.
2*c*(c - 1)/9
Let i = -19 + 19. Let o(f) be the third derivative of -1/6*f**4 + i*f + 1/105*f**7 + 1/30*f**6 - 1/3*f**3 + 2*f**2 + 0*f**5 + 0. Factor o(r).
2*(r - 1)*(r + 1)**3
Let f be 46/40 - 25*(-129)/(-4300). Solve 2/5*k - 4/5*k**3 + f*k**5 + 0 + 0*k**2 + 0*k**4 = 0.
-1, 0, 1
Let p(k) be the second derivative of 0*k**3 + 0*k**2 - 3*k - 1/10*k**6 + 0 - 3/10*k**5 - 1/4*k**4. Factor p(x).
-3*x**2*(x + 1)**2
Factor 891*g**2 + 3*g + 3*g - 893*g**2 - 4.
-2*(g - 2)*(g - 1)
Let i be (246/(-164))/((-102)/16). Factor 2/17*j**3 + 0 + 2/17*j - i*j**2.
2*j*(j - 1)**2/17
Let p be (-32)/272 - 262/(-1360). Let t(j) be the third derivative of 1/10*j**5 + 1/70*j**7 - p*j**6 + 0*j**3 + 0*j + 0*j**4 + 0 + j**2. Factor t(x).
3*x**2*(x - 2)*(x - 1)
Let g(t) be the second derivative of t**8/30240 + t**7/5670 - t**6/810 - 2*t**5/135 - t**4/3 + 29*t. Let b(a) be the third derivative of g(a). Factor b(q).
2*(q - 2)*(q + 2)**2/9
Factor 4*x**2 + 5*x**4 - 2*x**4 + 6*x**3 - 4*x**4 - x**4 + 16 - 24*x.
-2*(x - 2)**2*(x - 1)*(x + 2)
Let n(h) be the third derivative of 3*h**6/8 - 23*h**5/5 + 87*h**4/8 - 5*h**3 + 106*h**2. Factor n(s).
3*(s - 5)*(s - 1)*(15*s - 2)
Let t(z) be the second derivative of -z**4/90 - 2*z**3/15 + 8*z**2/3 - 3*z + 4. Factor t(b).
-2*(b - 4)*(b + 10)/15
Let 2/5*h**4 + 0*h**2 + 6/5*h**3 + 0 - 8/5*h = 0. Calculate h.
-2, 0, 1
Factor -8192/9 - 2/9*g**4 - 856/3*g**2 - 8704/9*g - 136/9*g**3.
-2*(g + 2)**2*(g + 32)**2/9
Suppose 0 = 2*r + 3*r + 5. Let v be (-12)/(-9)*(r - 85/(-70)). Let 1/7*m**2 - v*m + 1/7 = 0. What is m?
1
Let q(x) = -48*x**4 - 576*x**3 - 2175*x**2 - 2847*x - 1233. Let y(z) = -3*z**4 - 36*z**3 - 136*z**2 - 178*z - 77. Let j(s) = 2*q(s) - 33*y(s). Factor j(a).
3*(a + 1)**2*(a + 5)**2
Factor 2*u**2 + u**3 - 19*u + 2*u + 12*u + 6*u.
u*(u + 1)**2
Let -146*c - 10*c + 51*c**2 - 5*c - 28*c - 243 - 3*c**3 = 0. Calculate c.
-1, 9
Suppose 4/11*b**2 + 0 + 2/11*b + 2/11*b**3 = 0. Calculate b.
-1, 0
Factor z**5 - 495*z**3 + 4*z + 508*z**3 - 12*z**2 + 0*z**5 - 6*z**4.
z*(z - 2)**2*(z - 1)**2
Let u = 718/5211 - -2/193. Let y(n) be the first derivative of -2/45*n**5 + 0*n**2 - u*n**3 - 3 - 1/6*n**4 + 0*n. Factor y(f).
-2*f**2*(f + 1)*(f + 2)/9
Suppose 2*s = 37 - 43. Let n be s - (-149)/45 - 2/10. Let -2/9*t**2 + 0 + n*t**3 + 1/3*t**4 + 0*t = 0. What is t?
-1, 0, 2/3
Let -432/5*v**3 - 651/5*v + 792*v**2 + 27/5 = 0. What is v?
1/12, 9
Let g be 496/160 + (-3 + 6)/(-30). Find x such that 3/2*x**4 + 3/2*x + 3/2*x**5 + 3/2 - g*x**3 - 3*x**2 = 0.
-1, 1
Solve 34/5 + 1/5*p**2 - 19/5*p = 0 for p.
2, 17
Let c = -25 - -33. Let n be 2 - (-65)/20 - 2/c. Let 2/7*v**4 + 0*v + 0 - 2/7*v**2 - 2/7*v**n + 2/7*v**3 = 0. Calculate v.
-1, 0, 1
Let g(z) be the first derivative of z**6/15 - 7*z**5/90 - z**4/27 - 5*z - 11. Let o(h) be the first derivative of g(h). Determine t so that o(t) = 0.
-2/9, 0, 1
Suppose 118*d = -24*d. Factor -2/11*c**5 + 0*c**2 + 8/11*c**4 + d + 0*c - 8/11*c**3.
-2*c**3*(c - 2)**2/11
Let t be (-1)/(-2)*(-165 + 165). Let 0*g + t - 1/6*g**4 - 1/6*g**2 + 1/3*g**3 = 0. What is g?
0, 1
Let l(d) = d**3 + 2*d**2 + 2*d - 3. Let u be l(-3). Let f be 2*1*(3 - u/(-12)). Solve -4*a**4 + 1/2*a + 2*a**f - 1 - 5/2*a**5 + 5*a**2 = 0.
-1, 2/5, 1
Let o = -18/91 - -1063/4914. Let g(c) be the second derivative of 4*c + 2/9*c**2 + 1/27*c**3 - o*c**4 + 0. Factor g(s).
-2*(s - 2)*(s + 1)/9
Let b(c) be the third derivative of c**7/210 - c**6/30 + c**5/10 - c**4/6 + 8*c**3/3 + 17*c**2. Let k(j) be the first derivative of b(j). What is y in k(y) = 0?
1
Let a(f) be the third derivative of f**5/105 + 23*f**4/42 - 100*f**3/21 + 378*f**2. Factor a(g).
4*(g - 2)*(g + 25)/7
Let t = -2/479 + 1441/958. Suppose -7/4*v + t + 1/4*v**2 = 0. Calculate v.
1, 6
Let g(l) be the first derivative of 4*l**5/15 + 9*l**4/4 - 25*l**3/3 + 53*l**2/6 - 3*l - 78. Find d such that g(d) = 0.
-9, 1/4, 1
Suppose -2*j = 5*u - 8, -6*j + 4*j = 3*u - 4. Let z = -28 - -31. Suppose -u*k**4 - 1 + 4*k**z + 4*k + k**4 + 0 - 6*k**2 = 0. Calculate k.
1
Let c(l) be the second derivative of -l**6/90 - 13*l**5/12 - 1021*l**4/36 + 407*l**3/6 + 363*l**2 - 307*l. Factor c(p).
-(p - 2)*(p + 1)*(p + 33)**2/3
Solve -8/13*f**4 + 10/13*f + 0 + 8/13*f**2 + 2/13*f**5 - 12/13*f**3 = 0 for f.
-1, 0, 1, 5
Let t = 3 - 3. Let w be (1*-4)/(-2 - t). Find o, given that -4*o**4 - 3*o**5 + 6*o**w - 6*o + 9*o**3 - 3*o**2 + o**4 = 0.
-2, -1, 0, 1
Factor -2/13*t**5 + 0*t**3 + 4/13*t**2 + 2/13*t - 4/13*t**4 + 0.
-2*t*(t - 1)*(t + 1)**3/13
Let s be 0 - (-5)/(5/3) - 2. Let h be (-98)/154 - (-1)/s. What is c in -h*c**3 - 2/11*c**5 + 0 + 0*c**2 + 0*c - 6/11*c**4 = 0?
-2, -1, 0
Let k be 189/324*(-56)/(-147). Factor -4/3*c - 10/9 - k*c**2.
-2*(c + 1)*(c + 5)/9
Let y = 2773 - 2773. Let -16*s**2 + 24*s**3 - 20/3*s**4 + y - 32/3*s = 0. Calculate s.
-2/5, 0, 2
Let i(m) be the second derivative of 0 - 3*m - 1/12*m**4 + 0*m**3 + 1/2*m**2. Factor i(l).
-(l - 1)*(l + 1)
Let m(j) be the thi