5272/7, -4, 2
Determine p so that 2*p**5/3 + 10640*p**4/3 - 44*p**3/3 - 234032*p**2/3 + 85150*p + 159600 = 0.
-5320, -5, -1, 3
Factor 2*p**2 + 2960*p + 739032.
2*(p + 318)*(p + 1162)
Factor p**2/4 - 707*p/4 + 705/2.
(p - 705)*(p - 2)/4
Factor 2*q**2/7 + 8032*q/7 + 8030/7.
2*(q + 1)*(q + 4015)/7
Let 4*r**4 + 508*r**3 + 8636*r**2 + 8132*r = 0. What is r?
-107, -19, -1, 0
Find c such that 3*c**4 + 807*c**3 + 52209*c**2 - 278247*c + 225228 = 0.
-137, 1, 4
Suppose 2*s**2/5 + 412226*s/5 + 412224/5 = 0. What is s?
-206112, -1
Factor -1202*t**2 - 1622*t.
-2*t*(601*t + 811)
Factor -3*h**2 - 50292*h - 210773772.
-3*(h + 8382)**2
Suppose -2*o**4/3 + 268*o**3 - 15558*o**2 - 2286576*o - 48530016 = 0. What is o?
-36, 237
Factor 3*k**4/8 - 996*k**3 - 7971*k**2/8.
3*k**2*(k - 2657)*(k + 1)/8
Determine f, given that 5*f**4 - 32855*f**3 + 53988965*f**2 - 53890425*f - 107912250 = 0.
-1, 2, 3285
Factor a**3 - 27*a**2 - 1201*a - 1173.
(a - 51)*(a + 1)*(a + 23)
Let -o**3/3 - 355*o**2/3 + 5536*o/3 - 5180/3 = 0. Calculate o.
-370, 1, 14
Solve -4*i**2 - 2408*i + 4832 = 0.
-604, 2
Factor z**4/4 - 53*z**3/4 - 315*z**2/2 + 18225*z - 249750.
(z - 30)**3*(z + 37)/4
What is y in 5*y**5 + 3535*y**4 + 653195*y**3 + 9716265*y**2 - 69489900*y - 78556500 = 0?
-345, -22, -1, 6
Factor -l**4 + 1717*l**3 - 13688*l**2 + 27344*l.
-l*(l - 1709)*(l - 4)**2
Determine a, given that 4*a**4 - 608*a**3 + 25992*a**2 - 438976*a + 2606420 = 0.
19, 95
Solve -4*o**5/9 + 115*o**4/9 - 244*o**3/3 + 198*o**2 - 192*o + 63 = 0.
3/4, 1, 3, 21
Suppose u**4 + 240*u**3 + 11111*u**2 - 412104*u + 400752 = 0. Calculate u.
-132, 1, 23
Find g, given that g**3/3 - 467*g**2/3 - 5776*g/3 + 13412/3 = 0.
-14, 2, 479
Determine t so that -25*t**3/3 - 62265*t**2 - 49808*t - 29884/3 = 0.
-7471, -2/5
Find c such that 4*c**2/7 - 10176944*c/7 + 6473136823696/7 = 0.
1272118
Factor 2*b**2/11 + 854*b/11 + 57624/11.
2*(b + 84)*(b + 343)/11
Let t**4 + 1596*t**3 + 3181*t**2 - 11154*t + 6376 = 0. What is t?
-1594, -4, 1
Factor 2*r**2/3 - 628196*r/3 - 418800.
2*(r - 314100)*(r + 2)/3
Let -p**5 - 10036*p**4 + 50199*p**3 - 60250*p**2 - 40156*p + 80328 = 0. Calculate p.
-10041, -1, 2
Let 4*f**2 - 1085960*f + 73706820100 = 0. What is f?
135745
Solve -2*q**2/3 + 588008*q/3 - 43219176008/3 = 0.
147002
Solve -r**3 + 703*r**2 + 4254*r = 0 for r.
-6, 0, 709
Suppose 3*f**5/4 - 9*f**4 + 129*f**3/4 - 18*f**2 - 60*f = 0. What is f?
-1, 0, 4, 5
Factor h**4/2 - 28*h**3 - 177*h**2/2.
h**2*(h - 59)*(h + 3)/2
Factor 5*k**3 - 66910*k**2 + 1403095*k - 2538590.
5*(k - 13361)*(k - 19)*(k - 2)
Solve -3*q**2 - 718821*q + 718824 = 0 for q.
-239608, 1
Find n such that 2*n**5/5 + 7012*n**4/5 + 6068466*n**3/5 - 135835704*n**2/5 + 949892832*n/5 - 2016379008/5 = 0.
-1764, 4, 9
Solve 20*x**5 + 58*x**4 - 182*x**3 + 134*x**2 - 30*x = 0.
-5, 0, 1/2, 3/5, 1
Suppose c**4/5 - 576*c**3/5 + 115*c**2 = 0. What is c?
0, 1, 575
Factor u**3/2 + 2965*u**2 + 29631*u/2 + 17775.
(u + 2)*(u + 3)*(u + 5925)/2
Factor 2*m**4 + 58*m**3 - 550*m**2 + 1518*m - 1332.
2*(m - 3)**2*(m - 2)*(m + 37)
Determine w, given that w**2/2 + 175*w - 16188 = 0.
-426, 76
Factor 2*b**2 - 334*b + 7332.
2*(b - 141)*(b - 26)
Factor -s**2/4 + 4733*s - 9465.
-(s - 18930)*(s - 2)/4
Find h, given that -2*h**5 + 4*h**4 + 686*h**3 - 4408*h**2 - 10848*h - 5760 = 0.
-20, -1, 12
Factor 2*o**5 + 133810*o**4 + 2238340220*o**3 + 6714217820*o**2 + 6713950210*o + 2237938802.
2*(o + 1)**3*(o + 33451)**2
Find l, given that -2*l**5/5 - 7096*l**4/5 - 6294146*l**3/5 + 21292*l**2/5 + 18896648*l/5 + 12588304/5 = 0.
-1774, -1, 2
Factor 2*h**2/5 + 78*h - 7668/5.
2*(h - 18)*(h + 213)/5
Find i such that i**2/2 - 491250*i + 120663281250 = 0.
491250
Factor 3*z**3 + 1295*z**2/2 - 1529*z/2 - 1085.
(z - 2)*(z + 217)*(6*z + 5)/2
What is l in -2*l**3/5 - 1552*l**2/5 - 64328*l - 7833056/5 = 0?
-374, -28
Determine s, given that -3*s**5/5 - 12*s**4 + 159*s**3/5 + 588*s**2/5 - 156*s/5 - 528/5 = 0.
-22, -2, -1, 1, 4
Factor 4*k**3 - 1396*k**2 - 5648*k.
4*k*(k - 353)*(k + 4)
Suppose 3*n**4/8 + 99*n**3/2 + 921*n**2/2 + 342*n - 2928 = 0. What is n?
-122, -8, -4, 2
Factor 5*k**2 - 1212280*k + 73481139920.
5*(k - 121228)**2
Factor -k**3 - 47983*k**2.
-k**2*(k + 47983)
Determine q so that -q**4/3 + 131*q**3/3 - 637*q**2/3 + 295*q - 126 = 0.
1, 3, 126
Factor -2*q**3 - 2840*q**2 + 5688*q.
-2*q*(q - 2)*(q + 1422)
Factor 10*i**2 - 14795*i + 7395.
5*(i - 1479)*(2*i - 1)
Let -c**3/3 + 18067*c**2/3 - 36122*c = 0. Calculate c.
0, 6, 18061
Solve -3*u**4 + 44928*u**3 + 89865*u**2 + 44934*u = 0.
-1, 0, 14978
Solve -50*y**4 - 83090*y**3 + 182962*y**2 - 129774*y + 29952 = 0.
-1664, 3/5, 1
Factor -s**3 + 260*s**2 + 1859*s + 2670.
-(s - 267)*(s + 2)*(s + 5)
Factor 2*v**2 - 4742*v.
2*v*(v - 2371)
Factor -2*z**4/5 - 366*z**3 - 5472*z**2/5.
-2*z**2*(z + 3)*(z + 912)/5
Determine p so that 2*p**3 - 194932*p**2 - 2*p + 194932 = 0.
-1, 1, 97466
Determine n, given that 65*n**4/4 - 885*n**3/2 + 11785*n**2/4 - 2520*n = 0.
0, 1, 9, 224/13
Solve -34*h**4/7 + 16*h**3/7 + 11098*h**2/7 + 70160*h/7 + 13800 = 0 for h.
-230/17, -5, -2, 21
Let 2*x**4/15 - 398*x**3/15 - 268*x**2/5 = 0. Calculate x.
-2, 0, 201
Factor 2*p**3/3 - 11514*p**2 - 23030*p - 34546/3.
2*(p - 17273)*(p + 1)**2/3
Determine f, given that f**3 - 4024*f**2 + 8045*f - 4022 = 0.
1, 4022
Factor 2*u**2/7 - 444*u/7 - 21008.
2*(u - 404)*(u + 182)/7
Let c**2/5 + 633*c/5 + 24272/5 = 0. What is c?
-592, -41
Factor -10*i**2 + 199383*i/2 - 29907/2.
-(i - 9969)*(20*i - 3)/2
Suppose 5*k**4 + 34430*k**3 + 206325*k**2 - 515960*k + 275200 = 0. Calculate k.
-6880, -8, 1
What is r in -8*r**4/7 + 2710*r**3/7 - 36004*r**2/7 + 82682*r/7 - 42900/7 = 0?
3/4, 2, 11, 325
Factor k**3/5 - 4019*k**2/5 - 56413*k/5 - 197617/5.
(k - 4033)*(k + 7)**2/5
Determine u, given that -2*u**2/5 - 5344*u/5 + 21408/5 = 0.
-2676, 4
What is c in 44*c**3 - 1668444*c**2 - 3033696*c + 606736 = 0?
-2, 2/11, 37921
Factor -f**2/4 + 87823*f/2 + 175647/4.
-(f - 175647)*(f + 1)/4
Suppose 2*r**4 + 196*r**3 + 728*r**2 - 2256*r = 0. What is r?
-94, -6, 0, 2
Determine d so that 8*d**3 + 4874*d**2 + 981240*d + 65153448 = 0.
-222, -661/4
Suppose -2*m**5 + 258*m**4 + 6390*m**3 - 13546*m**2 + 6900*m = 0. Calculate m.
-23, 0, 1, 150
Let -2*y**3/13 - 80*y**2/13 + 96*y = 0. Calculate y.
-52, 0, 12
Factor -q**4 - 4*q**3 + 1362*q**2 + 20332*q - 21689.
-(q - 41)*(q - 1)*(q + 23)**2
Suppose 20*p**5 - 5484*p**4 + 43956*p**3 - 88372*p**2 + 15960*p = 0. Calculate p.
0, 1/5, 3, 5, 266
Factor 2*h**2/15 - 647084*h/15 + 52339712882/15.
2*(h - 161771)**2/15
Factor -3*j**5 + 1056*j**4 + 391620*j**3 + 26612592*j**2.
-3*j**2*(j - 596)*(j + 122)**2
Let -3*s**4/4 - 741*s**3/4 - 60507*s**2/4 - 1591359*s/4 + 1715361/2 = 0. Calculate s.
-83, 2
What is u in 2*u**4/13 - 6*u**3 - 2960*u**2/13 + 35400*u/13 = 0?
-30, 0, 10, 59
Factor 2*j**3/5 + 25934*j**2/5 + 31110*j + 233298/5.
2*(j + 3)**2*(j + 12961)/5
Determine s so that 5*s**2 - 7640*s + 30480 = 0.
4, 1524
Factor 3*b**3 - 8784*b**2 - 26373*b - 17586.
3*(b - 2931)*(b + 1)*(b + 2)
Solve 4*v**2 + 8200*v - 851004 = 0 for v.
-2149, 99
Factor -468*m**2/5 - 894*m/5 + 336.
-6*(6*m - 7)*(13*m + 40)/5
Factor 3*c**3 - 270717*c**2 - 3790479*c - 13267191.
3*(c - 90253)*(c + 7)**2
Suppose 4*n**4 - 1024*n**3 - 1032*n**2 + 1024*n + 1028 = 0. What is n?
-1, 1, 257
Find v, given that -v**3/4 + 2477*v**2/4 - 1527671*v/4 - 7700405/4 = 0.
-5, 1241
Determine p so that -4*p**3 - 64*p**2 + 3940*p + 4000 = 0.
-40, -1, 25
Let f**4/4 - 47341*f**3/4 = 0. What is f?
0, 47341
Let b**3/11 + 199*b**2 - 4382*b/11 = 0. Calculate b.
-2191, 0, 2
Factor p**4 + 59*p**3 - 648*p**2 - 2448*p.
p*(p - 12)*(p + 3)*(p + 68)
Find o, given that 25*o**5 - 135*o**4 - 2500*o**3 + 5520*o**2 + 57600*o - 23760 = 0.
-6, 2/5, 6, 11
Factor 2*q**3 + 208*q**2 + 776*q - 2400.
2*(q - 2)*(q + 6)*(q + 100)
Determine h, given that -4*h**5 + 1348*h**4 - 122016*h**3 + 1427040*h**2 - 5085504*h + 3779136 = 0.
1, 6, 162
Factor 4*l**2 - 34984*l + 76492516.
4*(l - 4373)**2
Factor 2*l**3/3 - 10298*l**2/3 - 2*l/3 + 10298/3.
2*(l - 5149)*(l - 1)*(l + 1)/3
Suppose 2*g**3/15 - 826*g**2/15 + 4476*g/5 + 4752/5 = 0. Calculate g.
-1, 18, 396
Factor 4*y**2/3 - 1220*y/3 - 13904/3.
4*(y - 316)*(y + 11)/3
Find s such that -5*s**2 - 37995*s = 0.
-7599, 0
Solve -2*n**3/5 - 5946*n**2/5 - 4859136*n/5 - 636541192/5 = 0.
-1406, 