44/9 - 665692. Let 4/9*b**4 - 4/9 - 4/9*b**3 + 2/9*b**5 - x*b**2 - 14/9*b = 0. Calculate b.
-1, 2
Let k be (20/8)/(2/(-604)). Let m = -755 - k. Suppose 0 + m*x + 1/4*x**3 + 0*x**2 = 0. What is x?
0
Let x = -12/41483 + 414866/124449. Find w, given that 16/9*w**2 - x + 14/9*w = 0.
-15/8, 1
Let i(o) = o**3 - 33*o**2 + 46*o + 2. Let c(q) = q**3 + 7*q**2 - q + 1. Let w(n) = -2*c(n) + i(n). Factor w(p).
-p*(p - 1)*(p + 48)
Let t(b) be the first derivative of -5/4*b**2 + 1/8*b**4 + 1/2*b**3 + b + 23 - 1/10*b**5. Find p such that t(p) = 0.
-2, 1
Let h = 526 + -906. Let i = h + 3422/9. Solve -i*j**2 + 16/9*j - 32/9 = 0 for j.
4
Suppose 2*z = 2*m + 406, 0 = -3*z - m - 35 + 660. Suppose -r - 510 = -4*d, 4*d - 2*r - z = 301. Factor -196*n**3 - 7 + 67*n**2 - 68*n**2 - d*n - 9 - 307*n**2.
-4*(n + 1)*(7*n + 2)**2
Let w be 4336/282 - ((-574)/(-235) + 1140/(-475)). Let -28/3*h**3 + 0 - w*h**2 - 4*h + 2*h**4 = 0. Calculate h.
-1, -1/3, 0, 6
Suppose 0 = -4*l - 4*y + 28, 82*l = 84*l - 4*y + 10. Let q(r) be the third derivative of 0 - 1/18*r**l - 15*r**2 - 1/180*r**5 - 1/36*r**4 + 0*r. Factor q(t).
-(t + 1)**2/3
Let b(y) be the second derivative of -3*y**5/20 - 13*y**4/2 - 225*y**3/2 - 972*y**2 + 458*y. Factor b(k).
-3*(k + 8)*(k + 9)**2
Let q(l) be the first derivative of -l**3/12 + 252*l**2 - 254016*l + 7599. Suppose q(g) = 0. Calculate g.
1008
Let p(k) be the first derivative of -2*k**7/35 - 7*k**6/40 + 9*k**5/4 + 9*k**4/2 + 10*k**2 + 3*k - 239. Let a(f) be the second derivative of p(f). Factor a(g).
-3*g*(g - 3)*(g + 4)*(4*g + 3)
What is t in -366/5*t**2 - 4320 + 2304*t + 3/5*t**3 = 0?
2, 60
Let p be ((-26)/416)/(7/(-336)). Factor -1/7*c**5 + 0*c + 0*c**2 + 0 + 0*c**p + 2/7*c**4.
-c**4*(c - 2)/7
Suppose 21*r - 36*r = -60. Suppose 0 = -5*x + 7*t - 2*t + 30, -r*t = 3*x + 10. Factor 12/5*f**3 + 0*f - 4/5*f**x + 0 - 9/5*f**4.
-f**2*(3*f - 2)**2/5
Let y(d) be the second derivative of 3/8*d**2 + d + 5 + 11/12*d**3 + 7/48*d**4. Factor y(w).
(w + 3)*(7*w + 1)/4
Let v = 108/23 + -1043/276. Let j(p) be the third derivative of 5/3*p**3 + 0 + 10*p**2 + 0*p + 1/15*p**5 + v*p**4. Factor j(b).
2*(b + 5)*(2*b + 1)
Let h(y) be the third derivative of 961/3*y**5 + 0 + 148955/9*y**4 + 0*y**3 - 53*y + 31/12*y**6 + y**2 + 1/126*y**7. Factor h(d).
5*d*(d + 62)**3/3
Let k(y) = 1734*y**4 - 3352*y**3 + 2009*y**2 - 377*y + 7. Let w(t) = -578*t**4 + 1118*t**3 - 670*t**2 + 126*t - 2. Let n(r) = -2*k(r) - 7*w(r). Factor n(f).
2*f*(f - 1)*(17*f - 8)**2
Let u be 55*-8*48/(-30). Suppose 2*r + 2*b - 877 = -3*r, -4*r - 4*b + u = 0. Factor r*h**3 - 8*h + 0*h**2 - 173*h**3 + 0*h**2.
2*h*(h - 2)*(h + 2)
Solve -374805361*j - 270234665281/4 - 1559523/2*j**2 - 1/4*j**4 - 721*j**3 = 0 for j.
-721
Let u(o) = -11*o**2 + 7*o. Let v(z) = 158*z**3 - 576*z**2 + 466*z - 72. Let w(k) = 6*u(k) - v(k). Factor w(f).
-2*(f - 2)*(f - 1)*(79*f - 18)
Let s(b) = -b - 1. Let u(w) = 7 - 4*w - 2 - 147*w**2 + 186*w**2. Let n(f) = 5*s(f) + u(f). Suppose n(z) = 0. Calculate z.
0, 3/13
Let a(f) = f**2 + 6*f + 2. Let m be a(-6). Factor -4 + 26*s - 2*s**m + 4 - 84*s.
-2*s*(s + 29)
Determine o so that 0 - 28/11*o + 18/11*o**2 - 2/11*o**3 = 0.
0, 2, 7
Let f(x) be the first derivative of -x**7/210 + 3*x**5/100 - x**4/30 - 41*x - 2. Let n(i) be the first derivative of f(i). Let n(c) = 0. Calculate c.
-2, 0, 1
Let a be 8/36 + 144/81. Let -19*n - 2*n**a - 9 - 15 - 9*n - 74 = 0. Calculate n.
-7
Factor -408*y + 16743*y - 495*y**2 + 7*y**3 - 9470 - 2*y**3 - 30078 - 140137.
5*(y - 33)**3
Let s(r) be the first derivative of -4*r**5/15 - 277*r**4/3 - 11408*r**3 - 1608160*r**2/3 - 3114752*r/3 + 734. Determine f so that s(f) = 0.
-92, -1
Suppose -30 = -12*a + 3*k, 1109*k = -4*a + 1114*k - 14. Suppose -7/5*z**2 - 2/5*z**a + 9/5 - 19/5*z**3 + 19/5*z = 0. Calculate z.
-9, -1, -1/2, 1
Suppose 20*k + 25 = 25*k. Suppose -5*l - 19 = -5*x + 11, 2*l = -5*x + 9. Factor 28*m**2 + 4*m**5 + 8*m + 20*m**4 + k*m**3 + 2*m**3 + 5*m**3 + 24*m**x.
4*m*(m + 1)**3*(m + 2)
Let g = -270 - -273. Factor -94 - 2240*q - 15120*q**g + 2843*q**4 + 16760*q**2 + 98 + 802*q**4 + 76.
5*(q - 2)**2*(27*q - 2)**2
Let v(a) be the third derivative of -5369*a**5/540 + 1789*a**4/72 + a**3/27 - 2*a**2 + 2*a - 1557. Find z, given that v(z) = 0.
-2/5369, 1
Suppose -87 + 449 = 181*l. Solve 50/7*w + 4*w**l + 2/7*w**3 + 24/7 = 0.
-12, -1
Let f(o) = -34*o + 785. Let j be f(23). Let z(d) be the first derivative of -5*d**2 - 15*d + 5/3*d**j + 14. Factor z(t).
5*(t - 3)*(t + 1)
Let p(h) = h**2 + 7*h + 2. Let i be p(-7). Suppose -2*j + 3*u = -3 - 3, 3*j = u + 9. Determine y so that -2*y**i - 3*y**2 - j*y + 0*y - 7*y = 0.
-2, 0
Let n(m) be the second derivative of -5*m**4/84 - 62*m**3/21 + 25*m**2/14 + 13083*m. Factor n(i).
-(i + 25)*(5*i - 1)/7
Suppose -1309 = -29*f + 4230. Suppose -76 = -229*v + f*v. Suppose 0 + 0*d**v - 1/3*d**3 + 1/3*d = 0. What is d?
-1, 0, 1
Let g(l) be the first derivative of -4*l**3/27 + 14*l**2/3 - 24*l - 2999. Solve g(s) = 0.
3, 18
Factor 10735*m**3 + 5*m**2 - 10738*m**3 + 180*m + 79*m**2.
-3*m*(m - 30)*(m + 2)
Let c(g) = -18*g**2 - 73*g + 31. Let u(p) = 9*p**2 + 37*p - 17. Let t(q) = 2*q + 25. Let w be t(-10). Let k(f) = w*u(f) + 3*c(f). Let k(o) = 0. What is o?
-4, 2/9
Let g(v) = 2*v**2 + 6*v - 6. Let d be g(-4). Let b(t) = t**2 - 3*t - 7. Let i be b(5). Suppose 80*l + 5*l**i + 6*l**2 - 36*l**d - 35*l = 0. What is l?
0, 3
Solve 22*v - 410557*v**3 + 104*v - 48*v**2 + 410559*v**3 = 0.
0, 3, 21
Let i = -163147 - -489443/3. Factor 2*l**3 + 4/3 - 8/3*l**2 - i*l.
2*(l - 1)**2*(3*l + 2)/3
Let t = -181605 + 181605. Let -24/17*f**5 - 4/17*f + t + 26/17*f**4 - 6/17*f**2 + 48/17*f**3 = 0. What is f?
-1, -1/4, 0, 1/3, 2
Suppose 3*a + 17 = a - 5*n, 2*n = -a - 7. Let f be (a + 69/27)*(-30)/(-35). Factor 0 + 2/3*q**3 + 2*q**2 + f*q.
2*q*(q + 1)*(q + 2)/3
Let o(a) = -7*a**5 + 7*a**4 - 21*a**3 + 22*a**2 - 13*a + 3. Let y(w) = -2*w**5 - w**3. Suppose -72 = -2*m - 70. Let f(q) = m*o(q) - 3*y(q). Factor f(t).
-(t - 3)*(t - 1)**4
Let w(j) = -55*j**5 - 32*j**4 + 23*j**3 + 11. Let g(p) = 27*p**5 + 15*p**4 - 12*p**3 - 6. Let b(o) = 11*g(o) + 6*w(o). Factor b(t).
-3*t**3*(t + 1)*(11*t - 2)
Let n(k) = -5*k**3 + 63*k**2 - 50*k - 252. Let y(t) = -4*t**3 + 42*t**2 - 34*t - 168. Let q(o) = -5*n(o) + 7*y(o). Factor q(a).
-3*(a - 2)*(a + 2)*(a + 7)
Let o = 196450 + -196448. Factor 5*s**3 - 2/3*s + 0 - 13/3*s**o.
s*(s - 1)*(15*s + 2)/3
Let o(j) = j**4 - 40*j**3 - 13*j**2 + 163*j - 3. Let a(c) = -4*c**4 + 120*c**3 + 40*c**2 - 488*c + 8. Let m(q) = 3*a(q) + 8*o(q). Factor m(u).
-4*u*(u - 10)*(u - 2)*(u + 2)
Let d = 1300389 + -1300384. Let 0 + 14/9*g**4 - 10/9*g**d - 14/9*g**2 + 4/9*g + 2/3*g**3 = 0. Calculate g.
-1, 0, 2/5, 1
Suppose -13*w + 288 = 249. Factor 6*d**4 - 3*d**3 - 21*d**2 - 12*d - w*d**3 + 0*d**4 - 3*d**4.
3*d*(d - 4)*(d + 1)**2
Let w = -21 + 27. Let p = w - 4. What is r in -8*r + 4*r - r**p - 6*r - 4*r**2 = 0?
-2, 0
Let k(z) = -z**3 - 85*z**2 - 26*z + 4872. Let w be k(-84). Determine v, given that -110/3*v + w - 35*v**2 + 5/3*v**3 = 0.
-1, 0, 22
Let i(s) = s**3 + 10*s**2 - s - 21. Let z be i(-10). Let j be 1/z - (-2430)/594. Determine p so that -1/3*p**j - 4/3*p**2 + 0*p - 4/3*p**3 + 0 = 0.
-2, 0
Let j(k) be the third derivative of 0*k - 19 + 0*k**4 + 0*k**3 + 0*k**5 + 0*k**7 + 1/1680*k**8 - 1/600*k**6 - k**2. Factor j(v).
v**3*(v - 1)*(v + 1)/5
Let x(r) be the second derivative of -3*r**6/70 + 13749*r**5/35 - 42016943*r**4/42 + 28002130*r**3/21 - 9333025*r**2/14 + 1197*r. Factor x(b).
-(b - 3055)**2*(3*b - 1)**2/7
Factor -3/5*b**2 + 879/5*b + 0.
-3*b*(b - 293)/5
Let d(s) = -6*s**3 + 56*s**2 - 2*s - 140. Let a be d(9). Let a*b**2 - 42/5*b + 4/5 = 0. Calculate b.
1/10, 2
Factor 759137*k**2 + 923*k - 3700 + 5588*k - 7400*k**3 - 759129*k**2 + 885*k + 3692*k**4 + 4*k**5.
4*(k - 1)**3*(k + 1)*(k + 925)
Factor 330*w**2 - 999 + 3/2*w**3 - 1341/2*w.
3*(w - 3)*(w + 1)*(w + 222)/2
Let 272*z + 346 - 251*z**2 + 498*z**2 + 48*z - 243*z**2 - 2046 = 0. Calculate z.
-85, 5
Let b(m) = 7*m**2 + 360*m - 107. Let g(n) = -5*n**2 - 179*n + 55. Let t(p) = -3*b(p) - 5*g(p). Solve t(f) = 0.
1/4, 46
Let a(p) be the third derivative of 297*p**2 + 16/3*p**3 + 0 + 5*p**4 - 2/15*p**6 - 3/5*p**5 + 0*p. Let a(m) = 0. What is m?
-4, -1/4, 2
Let o(g) = 4*g**2 + 1835*g - 419534. Let x(m) = -22*m**2 - 9176*m + 20