44/7*u = 0. Calculate u.
4/181
Let l(w) be the first derivative of -1/6*w**3 + 5/8*w**4 + 4 + 0*w - 3/10*w**5 - 1/4*w**2. Factor l(i).
-i*(i - 1)**2*(3*i + 1)/2
Let m = -5 + 8. Suppose -6*n + 7 + 5 = 0. Factor 6*x**2 + 4*x**m + 3*x**2 + 8*x + 7*x**2 - 4*x**n.
4*x*(x + 1)*(x + 2)
Let z(n) = n**3 + 3*n**2 - 5*n - 2. Let x be z(-4). Suppose 506*q = 510*q - 16. Factor q*h**2 - h**2 - h**4 + 2*h**3 - x + 0 - 4*h - 2.
-(h - 2)**2*(h + 1)**2
Let i = -47076 - -141238/3. Factor 4 + i*o + 2/3*o**2.
2*(o + 2)*(o + 3)/3
Let q(r) be the third derivative of -r**7/210 + 3*r**6/20 - 29*r**5/60 - 2*r**4 - r**2 + 1652*r. Factor q(v).
-v*(v - 16)*(v - 3)*(v + 1)
Let b be (368 - (-15)/5)*(5 + -6). Let j = 1485/4 + b. Solve -1/4*r**2 + j*r**4 + 0 + 0*r - 1/4*r**3 + 1/4*r**5 = 0 for r.
-1, 0, 1
Let u(x) be the second derivative of -x**6/540 + x**5/36 - x**4/9 + 134*x**3/3 - 42*x. Let h(f) be the second derivative of u(f). Factor h(q).
-2*(q - 4)*(q - 1)/3
Let b(i) be the first derivative of 1/12*i**4 - 2*i + 11/6*i**2 - 124 - 2/3*i**3. Factor b(s).
(s - 3)*(s - 2)*(s - 1)/3
Let o = 464729/3 - 154877. Factor 224/3*u**2 + 52*u**3 + 0 + 2/3*u**5 + o*u + 32/3*u**4.
2*u*(u + 1)**2*(u + 7)**2/3
Let s be (-1 + 78/54)*(-756)/(-168). Determine g, given that -10*g - 52/3 - 2/3*g**s = 0.
-13, -2
Let g(s) be the second derivative of -s**4/18 + 86*s**3/9 - 1849*s**2/3 - s - 1059. Factor g(r).
-2*(r - 43)**2/3
Factor -1230*n**3 + 2100*n + 2472*n**3 - 1238*n**3 + 3528 + 176*n**2.
4*(n + 2)*(n + 21)**2
Suppose -42/5 + 16/5*r**2 - 5*r - 1/5*r**3 = 0. Calculate r.
-1, 3, 14
Let d be 178/22 + (-6 - -70)/(-8). Let o(m) be the first derivative of 3 - 2/55*m**5 - d*m**4 + 2/11*m + 0*m**3 + 2/11*m**2. Factor o(b).
-2*(b - 1)*(b + 1)**3/11
Determine u, given that -1024 - 4*u**5 - 2592*u - 156*u**4 - 2742*u**2 - 171*u**3 + 358*u**2 - 472*u**3 - 325*u**3 = 0.
-32, -2, -1
Let r(h) be the third derivative of h**6/270 + h**5/30 + h**4/9 + 29*h**3/3 + h**2 + 1. Let v(g) be the first derivative of r(g). Factor v(a).
4*(a + 1)*(a + 2)/3
Let i(f) be the first derivative of -f**3/2 + 2853*f**2/2 + 7606. Factor i(c).
-3*c*(c - 1902)/2
Let o(q) be the first derivative of 65*q**3 - 5/4*q**4 - 81 - 1995/2*q**2 + 1805*q. Suppose o(k) = 0. Calculate k.
1, 19
Solve -132*b + 33*b**3 + 6 - 3/2*b**2 = 0.
-2, 1/22, 2
Let m be 33/(-99) - 34/6 - 12/(-2). Let j(q) be the first derivative of m*q**2 + 2/3*q**6 + 0*q + 2 - 8/3*q**3 + 0*q**5 - 3*q**4. Factor j(u).
4*u**2*(u - 2)*(u + 1)**2
Let o be 165/(-45)*(-3)/(-21). Let x = o + 6/7. Find y such that 0 - 1/3*y + x*y**2 = 0.
0, 1
Let d be 28 - (-1595)/(-754)*13. Suppose 1/2*u + 0*u**4 - u**3 + 0 + d*u**5 + 0*u**2 = 0. What is u?
-1, 0, 1
Let t(y) = y**3. Let h(x) = -14*x**3 - 129*x**2 + 79*x + 57. Let w(l) = -2*h(l) - 14*t(l). Let w(v) = 0. What is v?
-19, -3/7, 1
Determine c, given that 10770*c**2 + 130*c**4 - 325*c**3 - 140*c**4 + 1305*c - 11740*c**2 = 0.
-29, -9/2, 0, 1
Let t = -252700 + 252703. Factor 2/5*z**4 - 6/5*z**2 - 2*z**t + 26/5*z + 4.
2*(z - 5)*(z - 2)*(z + 1)**2/5
Let f(u) be the second derivative of u**5/5 - 242*u**4/3 + 29282*u**3/3 - 22*u - 19. Factor f(z).
4*z*(z - 121)**2
Let g = -25310 - -25312. Let f(i) be the second derivative of 1/4*i**4 + 75/2*i**g - 5*i**3 - 23*i + 0. Let f(u) = 0. Calculate u.
5
Let k(n) = -843*n - 348156. Let s be k(-413). Let -1/6*o**5 + 0*o + 2/3*o**s - 2/3*o**2 + 0 + 1/6*o**4 = 0. Calculate o.
-2, 0, 1, 2
Let m = 5 + 37. Suppose -12*w**4 - 18*w**2 - 3*w**5 + 0*w**2 + m*w**3 - 7*w**3 - 2*w**3 = 0. What is w?
-6, 0, 1
Let c = -15/811 - -12195/1622. Let k = 9 + -9. Factor -c*m + k + 3/2*m**2.
3*m*(m - 5)/2
Let d = 729/2884 + -2/721. Let t(k) be the first derivative of -d*k + 1/4*k**2 - 1/12*k**3 - 13. Factor t(m).
-(m - 1)**2/4
Solve 0 + 23/9*f**3 + f**4 + 0*f + 1/9*f**5 + 5/3*f**2 = 0 for f.
-5, -3, -1, 0
Let p = 1/10578 - 1856441/21156. Let q = p - -353/4. Solve q*n**2 - 1 - 1/2*n = 0.
-1, 2
Suppose -1196*n = -2133*n + 1874. Factor -24/7 - 10/7*j**2 - 88/7*j + n*j**3.
2*(j - 3)*(j + 2)*(7*j + 2)/7
Let y = 293939 + -587875/2. Factor -11/4*s**2 - y*s - 3/2*s**3 - 1/4*s**4 + 0.
-s*(s + 1)*(s + 2)*(s + 3)/4
Let d(o) = o**3 + 33*o**2 + 29*o - 96. Let q be d(-32). Let h(p) be the first derivative of 8/3*p**3 + q*p**2 + 0*p - p**4 - 7. Factor h(f).
-4*f**2*(f - 2)
Let j = 264/19 - 25211/1824. Let w(x) be the second derivative of j*x**4 + 37/48*x**3 - 10*x + 5/8*x**2 + 0. Determine i so that w(i) = 0.
-5, -2/7
Let o be (-9)/(-312) + 3686/304 + -12. Let 4/13*g**3 + 0*g - o*g**4 + 0 - 2/13*g**2 = 0. What is g?
0, 1
Factor -24/5*d**3 - 480 + 3/5*d**5 + 624*d - 1104/5*d**2 + 42/5*d**4.
3*(d - 2)**3*(d + 10)**2/5
Let v be (4/(-16) + 9/(-4))*-2. Suppose -v*w + 3 = 3*n - 27, w - n = -2. Find o such that -8*o**2 - 23*o**3 - 13*o**2 + 12 + 17*o**w - 12*o = 0.
-2, 1/2
Let o(v) = -2986*v**2 - 6122*v - 3. Let f(m) = -597*m**2 - 1224*m - 6. Let x(a) = 11*f(a) - 2*o(a). Find l, given that x(l) = 0.
-2, -6/119
Suppose -4 = -2*q + 5*t - 4*t, 0 = 5*q + 5*t - 40. Suppose 16 + 438*d**q + 728*d**4 - 266*d**4 + 96*d - 282*d**3 - 292*d**2 - 438*d**3 = 0. Calculate d.
-2/5, -2/15, 1/3, 1
Let z be (-5 + 5)/(-4) + -5 + 65. Let n be ((-128)/z - -4) + 20/(-25). Factor 28/15*b**2 - 2/5*b**3 - 8/3*b + n.
-2*(b - 2)**2*(3*b - 2)/15
Factor 668/3*i**2 - 266/3 - 5/3*i**3 - 397/3*i.
-(i - 133)*(i - 1)*(5*i + 2)/3
Suppose -20*g = -36*g + 32. Let a(k) be the first derivative of -5/2*k**g - 25/3*k**3 + 5/4*k**4 - 11 + 25*k. Determine h, given that a(h) = 0.
-1, 1, 5
Factor 142*i - 103*i**2 + 162*i**2 - 14*i - 99*i**2 + 4*i**3 - 128.
4*(i - 4)**2*(i - 2)
Let q(b) be the second derivative of -2*b**7/21 + 2*b**6/5 - 2*b**5/5 - 2*b**4/3 + 2*b**3 - 2*b**2 - 2025*b. What is g in q(g) = 0?
-1, 1
Let o(b) = b**2 - 5*b + 6. Let c be o(3). Suppose c = 2*k + 3*k - 45. Factor -6 + k*z**2 + 0*z**3 - 3 + 3*z**3 - 3*z.
3*(z - 1)*(z + 1)*(z + 3)
Suppose -5*z = 5*w + 5, -12 = 3*w - z + 7. Let r(u) = -3*u - 12. Let g be r(w). Factor 12*y + 2 - 7 - 3*y**2 - g*y - 1.
-3*(y - 2)*(y - 1)
Let g(v) be the second derivative of v**4/6 - 518*v**3/3 + 517*v**2 - 13991*v. Determine j, given that g(j) = 0.
1, 517
Let m(r) be the second derivative of r**7/63 + r**6/18 - r**5/5 + r**4/36 + 2*r**3/9 + 76*r. Determine i, given that m(i) = 0.
-4, -1/2, 0, 1
Let f = -35745 - -35747. Let o(z) be the first derivative of 26244*z + 5832*z**f + 4/5*z**5 + 648*z**3 + 36*z**4 - 35. Factor o(r).
4*(r + 9)**4
Let c(h) = 37*h - 72. Let o be c(2). What is g in 40*g**2 + 1444 - 77*g**o + 38*g**2 + 76*g = 0?
-38
Let r(k) be the second derivative of -k**9/8400 - 23*k**8/11200 - k**7/300 - 16*k**4/3 - 4*k - 14. Let l(q) be the third derivative of r(q). Factor l(a).
-3*a**2*(a + 7)*(3*a + 2)/5
Let l(z) = 2*z**3 + 16*z**2 - 98*z + 122. Let q(m) = -2*m**3 - 15*m**2 + 99*m - 131. Let k(i) = 3*l(i) + 2*q(i). Factor k(a).
2*(a - 2)**2*(a + 13)
Suppose 4*o = -281 - 59. Let z = o + 88. Factor -44*t**2 + 182 - 38 + 96*t + 64*t**3 - 60*t**z.
4*(t - 6)**2*(t + 1)
Suppose -89*r = -75*r - 28. Let z be (-9)/(-27) - 142/(-156)*r. Find y, given that 0 - 98/13*y - 2/13*y**3 + z*y**2 = 0.
0, 7
Let u(j) be the first derivative of -j**3/18 + 4*j**2/3 - 5*j/2 + 715. Solve u(z) = 0 for z.
1, 15
Let y(d) be the third derivative of -d**6/120 - 7*d**5/30 + 7*d**4/8 + 15*d**3 - 2*d**2 + 9*d - 9. Solve y(c) = 0 for c.
-15, -2, 3
What is b in 91/4*b**2 - 283/2*b + 89/4*b**3 - 18 + 2*b**4 = 0?
-9, -4, -1/8, 2
Suppose u = -2*l + 2*u + 8, 4*u = 5*l - 26. Let s(b) be the first derivative of -32/3*b**3 + 2/3*b**6 - 8*b - 14*b**2 - l*b**4 - 18 + 8/5*b**5. Factor s(z).
4*(z - 2)*(z + 1)**4
Let n(d) be the first derivative of -2*d**3/3 - 19*d**2 - 68*d + 768. What is m in n(m) = 0?
-17, -2
Let c(a) be the second derivative of 2*a**6/45 + 37*a**5/15 - 86*a**4/3 - 3966*a. Factor c(p).
4*p**2*(p - 6)*(p + 43)/3
Let a(d) = d - 4. Let s be a(-12). Let o be -5*(3 - s/(-4)). Solve -6*c + 2 - 3*c**2 + c**3 - 1 + o*c + 2*c**2 = 0 for c.
-1, 1
Let s(g) be the first derivative of 2*g**3/3 - 70*g**2 + 272*g - 4569. Factor s(m).
2*(m - 68)*(m - 2)
Let s be 16 + (-3 + 3)/1. Let i be ((-30)/4)/(s/(-32)). Factor 7*g**2 + 2*g**2 - 6*g**2 - i*g.
3*g*(g - 5)
Let f(m) = -m**3 - 22*m**2 - 287*m - 4367. Let i be f(-19). Factor 41/3*k**2 + 0*k + 0 + 1/3*k**i.
k**2*(