67*z - 1)
Factor 1853242*p**3 + 7412980*p**2 + 7413016*p + 48.
2*(p + 2)**2*(926621*p + 6)
Factor -y**2/4 - 679*y/2 + 16348959/4.
-(y - 3421)*(y + 4779)/4
Suppose -2*f**3/7 + 4950*f**2/7 - 680068*f/7 = 0. Calculate f.
0, 146, 2329
Factor 43904*f**2 + 2150624*f + 184358402/7.
2*(392*f + 9601)**2/7
Factor -2*d**3 + 6286246*d**2.
-2*d**2*(d - 3143123)
Determine c, given that -c**3/4 - 253911*c**2/4 + 507825*c/4 - 253913/4 = 0.
-253913, 1
Suppose 3*j**4 - 5226*j**3 + 1967475*j**2 + 277222500*j = 0. What is j?
-108, 0, 925
What is f in 1262*f**2/9 - 26810*f/9 + 17936/3 = 0?
1416/631, 19
Find g such that -g**4/4 + g**3 + 7171*g**2/4 - 7175*g/2 - 211650 = 0.
-83, -10, 12, 85
What is h in -5*h**3 + 360985*h**2 - 5413570*h - 5774560 = 0?
-1, 16, 72182
Let -2*l**4 - 382684*l**3 - 18232257698*l**2 + 7043565368064*l - 677539290488832 = 0. What is l?
-95863, 192
Suppose -c**2 + 3508863*c + 3508864 = 0. Calculate c.
-1, 3508864
Find p, given that 3*p**5 - 1821*p**4 - 1159893*p**3 + 5832069*p**2 - 8177190*p + 3506832 = 0.
-392, 1, 3, 994
Factor -2*p**4 - 1355366*p**3 - 2710724*p**2.
-2*p**2*(p + 2)*(p + 677681)
Factor o**2/4 - 26483*o/4 - 53711859/2.
(o - 30057)*(o + 3574)/4
Find g, given that 2*g**2/3 - 66548*g/3 - 40304110/3 = 0.
-595, 33869
Suppose -2*t**3/3 - 236*t**2/3 - 6128*t/3 + 9472 = 0. Calculate t.
-74, -48, 4
Factor 3*z**3 + 10650*z**2 + 148467*z - 159120.
3*(z - 1)*(z + 15)*(z + 3536)
Factor -2*i**3/3 + 19322*i**2 - 136929504*i - 134317003904/3.
-2*(i - 14648)**2*(i + 313)/3
Solve -49*m**5/4 + 467*m**4/2 - 6035*m**3/4 + 7435*m**2/2 - 2574*m + 144 = 0 for m.
3/49, 1, 4, 6, 8
Find c such that 3*c**3/7 - 484284*c**2/7 + 19545217920*c/7 - 78173123328/7 = 0.
4, 80712
Solve -5*w**4/3 - 29885*w**3/3 - 46352600*w**2/3 - 1674055500*w = 0 for w.
-2930, -117, 0
Factor 2*c**4 + 9607518*c**3 - 57645156*c**2 + 115290344*c - 76860240.
2*(c - 2)**3*(c + 4803765)
Let -42483*m**3/5 - 5898354*m**2/5 - 204732363*m/5 = 0. What is m?
-8261/119, 0
Determine g so that -5*g**2 - 152625*g + 402350030 = 0.
-32966, 2441
Factor 19200*x**2 + 1180320*x + 18140043.
3*(80*x + 2459)**2
Let 578*y**2 - 104543*y - 13575 = 0. What is y?
-75/578, 181
Suppose -15*c**5 - 2331*c**4 + 36285*c**3 + 307911*c**2 + 370710*c + 101400 = 0. Calculate c.
-169, -5, -1, -2/5, 20
Factor -3*s**2 - 332460*s + 3989952.
-3*(s - 12)*(s + 110832)
Determine p so that 2*p**2 - 1356192*p + 4068558 = 0.
3, 678093
Factor d**4/3 + 132274*d**3/3 + 969848*d**2.
d**2*(d + 22)*(d + 132252)/3
Solve -h**4/7 - 381*h**3 - 1816233*h**2/7 - 50373929*h/7 + 52192830/7 = 0.
-1319, -30, 1
Let -m**4 - 56*m**3 + 1339*m**2 - 6346*m + 7800 = 0. Calculate m.
-75, 2, 4, 13
Factor w**3/6 - 9132721*w**2/3 + 73061744*w/3 - 48707824.
(w - 18265434)*(w - 4)**2/6
Factor -3*r**2/4 + 22038393*r/2 - 161896922007483/4.
-3*(r - 7346131)**2/4
Determine r, given that -27*r**5 + 1269846*r**4 - 14926404243*r**3 - 99550000404*r**2 - 185847138000*r - 106203525312 = 0.
-4, -4/3, 23519
Factor 588*l**2 + 1638420*l + 1141335075.
3*(14*l + 19505)**2
What is r in r**2 + 2320594*r + 6961773 = 0?
-2320591, -3
Let -3*t**4 - 6312*t**3 - 1380111*t**2 + 1399062*t + 2772864 = 0. Calculate t.
-1856, -249, -1, 2
Determine l so that 3*l**5 - 1623*l**4/2 + 69783*l**3/2 - 134721*l**2/2 + 66555*l/2 = 0.
0, 1, 51, 435/2
Determine j, given that -2*j**3 + 553614*j**2 - 38310227190*j - 114935664150 = 0.
-3, 138405
What is y in -56169*y**5 - 6513708*y**4 + 27461885*y**3 + 32779984*y**2 - 1129840*y + 9600 = 0?
-120, -1, 4/237, 5
Factor -4*c**2 - 11192*c + 6932160.
-4*(c - 522)*(c + 3320)
Find f such that 2*f**5/5 - 766*f**4/5 + 9628*f**3 - 456052*f**2/5 + 178378*f + 279370 = 0.
-1, 5, 7, 65, 307
What is y in y**5/3 - 52*y**4/3 - 4516*y**3/3 + 54214*y**2/3 - 25279*y - 44838 = 0?
-53, -1, 3, 9, 94
Factor s**5/3 + 50378*s**4/3 + 212182619*s**3 + 51943143704*s**2/3 + 1063101220624*s/3.
s*(s + 41)**2*(s + 25148)**2/3
Factor -84840543076*c**2 + 981010832*c - 2835856.
-4*(145637*c - 842)**2
Factor 3*g**3 - 2325*g**2 + 429093*g - 1266435.
3*(g - 477)*(g - 295)*(g - 3)
Factor -4*y**4/3 + 21064*y**3/3 - 8360816*y**2 + 11291141752*y/3 - 1757929831660/3.
-4*(y - 3805)*(y - 487)**3/3
Find o, given that -o**5 + 131*o**4/3 + 3583*o**3/3 + 4493*o**2/3 - 408*o - 756 = 0.
-18, -1, 2/3, 63
Factor -5*i**3 - 5020*i**2 + 123620*i + 267280.
-5*(i - 26)*(i + 2)*(i + 1028)
Determine y, given that -4*y**5/5 - 31272*y**4/5 - 55778648*y**3/5 + 20878443136*y**2/5 - 1804581050244*y/5 + 3526095057608/5 = 0.
-4073, 2, 163
Solve -190*k**4 - 1352609*k**3 - 2413375731*k**2 - 21598320735*k + 113742225 = 0 for k.
-3555, -9, 1/190
Let 27*d**4 - 2895*d**3 - 23874*d**2 - 31812*d + 8280 = 0. What is d?
-6, -2, 2/9, 115
Let -2138472*p**2 + 6415420*p - 12 = 0. Calculate p.
1/534618, 3
Find t such that -108*t**2 - 1783396*t + 132104 = 0.
-16513, 2/27
Find s such that s**4/5 - 8062*s**3 + 448109113*s**2/5 - 168838789728*s + 438590149191936/5 = 0.
1099, 19056
Suppose 2*v**5/9 - 110*v**4/3 + 6106*v**3/3 - 359366*v**2/9 + 307328*v/3 = 0. What is v?
0, 3, 49, 64
Determine f so that f**3/2 - 1613*f**2/2 + 241750*f - 954128 = 0.
4, 392, 1217
Let 2*s**2/5 - 8374142*s/5 + 318214508/5 = 0. Calculate s.
38, 4187033
Solve -2*g**3/7 + 100*g**2/7 + 11238*g/7 + 4680 = 0.
-52, -3, 105
Factor -a**5 + 210*a**4 - 14621*a**3 + 300764*a**2 + 4702608*a - 149355200.
-(a - 68)**3*(a - 25)*(a + 19)
Suppose -k**4/3 - 758*k**3/3 - 54752*k**2 - 2502816*k = 0. What is k?
-348, -62, 0
Determine w, given that -2*w**4/7 + 43596*w**3 - 1830654*w**2 + 19220544*w = 0.
0, 21, 152544
Determine a so that -4*a**5 - 177816*a**4 - 4621076*a**3 - 25055936*a**2 + 64686384*a - 34831552 = 0.
-44428, -14, 1
Determine w, given that 2*w**4/3 - 706252*w**3/3 + 20784172312*w**2 - 623414998288*w/3 - 3491345464768/3 = 0.
-4, 14, 176558
Factor -s**2/3 - 156602*s/3 - 5581655.
-(s + 107)*(s + 156495)/3
What is w in 484*w**4/5 - 712096*w**3/5 - 5521892*w**2/5 - 2828592*w - 11997648/5 = 0?
-3, -26/11, 1479
Suppose -d**2/3 - 13418*d/3 + 94073 = 0. Calculate d.
-13439, 21
Solve -3*o**4 + 72036*o**3 + 3971223*o**2 - 4043256*o = 0 for o.
-56, 0, 1, 24067
Let 2*r**3/13 + 22038*r**2/13 - 2763464*r/13 = 0. Calculate r.
-11143, 0, 124
Let 50*q**3 - 2867*q**2 + 10418*q + 13335 = 0. What is q?
-1, 5, 2667/50
Factor w**2/5 - 649*w/5 + 93958/5.
(w - 431)*(w - 218)/5
Factor 45*w**2/7 + 1437589*w - 447250/7.
(w + 223625)*(45*w - 2)/7
Let -5*a**2 + 7320*a - 1347840 = 0. Calculate a.
216, 1248
Factor 3*w**3 - 5861853*w**2 + 2863756966176*w - 306354886700964.
3*(w - 976922)**2*(w - 107)
Let 4*j**2/3 - 50288*j/3 + 9653380 = 0. Calculate j.
605, 11967
Factor 3477*s**3/4 - 10905*s**2/2 + 36981*s/4 - 2133.
3*(s - 3)**2*(1159*s - 316)/4
Factor -2*s**3 - 1762*s**2 - 383638*s + 1962490.
-2*(s - 5)*(s + 443)**2
Factor -z**3/2 - 268*z**2 - 17421*z/2 + 28557.
-(z - 3)*(z + 38)*(z + 501)/2
Suppose -5*f**3 - 9427055*f**2 - 4443425876600*f + 39991596484500 = 0. Calculate f.
-942710, 9
Let -u**2/3 - 9614825*u/3 + 9614828 = 0. What is u?
-9614828, 3
What is k in 3*k**4 + 9663*k**3 - 2880396*k**2 + 211385916*k - 800076528 = 0?
-3501, 4, 138
Solve u**4/2 + 165*u**3/2 - 9543*u**2/2 + 34603*u/2 + 22155 = 0.
-211, -1, 5, 42
What is q in -5*q**4/4 - 1299*q**3/4 + 23253*q**2/4 - 75925*q/4 + 13494 = 0?
-1384/5, 1, 3, 13
Determine a so that 3*a**3 - 1254*a**2 - 37197*a + 1138860 = 0.
-45, 19, 444
Solve r**4/3 + 4719712*r**3/3 + 5568896742110*r**2/3 - 55689396915712*r/3 + 16706831817963 = 0.
-2359861, 1, 9
Factor 5*m**3 + 1676760*m**2 - 33536700*m + 167686000.
5*(m - 10)**2*(m + 335372)
Let m**2/5 - 65734*m/5 - 591687/5 = 0. Calculate m.
-9, 65743
Find k, given that 2*k**2 - 16316*k - 1735230 = 0.
-105, 8263
Find z such that 4*z**3 + 59012*z**2 + 16101660*z + 79033500 = 0.
-14475, -273, -5
What is f in 60*f**4 - 36832*f**3 + 922508*f**2 - 5838664*f - 794976 = 0?
-2/15, 13, 588
Factor -2*i**2/5 - 49235756*i/5 - 303019958611442/5.
-2*(i + 12308939)**2/5
Solve -w**4/7 - 2596*w**3/7 - 64387*w**2/7 - 41052*w + 215964 = 0 for w.
-2571, -14, 3
Determine f, given that f**5/5 + 4061*f**4/5 + 4304694*f**3/5 + 363747352*f**2/5 - 460700672*f + 3117514752/5 = 0.
-1984, -99, 2, 4
Suppose 2*l**2/11 - 689298*l - 121316960/11 = 0. Calculate l.
-16, 3791155
Determine f so that -3*f**3/7 + 372240*f**2/7 - 744459*f/7 - 111670