0774*p**2 - 1141532*p - 761016 = 0.
-95127, -2
Factor -3*w**2 - 501513*w + 1003038.
-3*(w - 2)*(w + 167173)
Factor o**2/10 - 17*o/10 + 7.
(o - 10)*(o - 7)/10
Factor g**2/2 + 1268651*g + 1609475359801/2.
(g + 1268651)**2/2
Suppose -256*z**2 - 152322*z/5 - 238/5 = 0. What is z?
-119, -1/640
Solve -5*b**4 - 96435*b**3 + 482305*b**2 + 96435*b - 482300 = 0 for b.
-19292, -1, 1, 5
Factor -5*g**2 + 1130*g - 26000.
-5*(g - 200)*(g - 26)
Factor -2*p**4/3 - 304*p**3/3 + 3632*p**2 + 1706048*p/3 - 62989088/3.
-2*(p - 46)**2*(p + 122)**2/3
Find s such that 4*s**5 + 792*s**4 + 39200*s**3 - 792*s**2 - 39204*s = 0.
-99, -1, 0, 1
Factor -4*k**3 - 1096*k**2 + 11324*k - 10224.
-4*(k - 9)*(k - 1)*(k + 284)
Factor 4*s**3/5 - 892*s**2/5 + 19196*s/5 - 18308/5.
4*(s - 199)*(s - 23)*(s - 1)/5
Factor j**3/2 - 8264*j**2 + 16527*j/2.
j*(j - 16527)*(j - 1)/2
What is o in -o**2 + 6939*o + 554422 = 0?
-79, 7018
Let a**4/2 - 135*a**3 + 5258*a**2 + 560268*a + 1098416 = 0. Calculate a.
-44, -2, 158
What is d in -2*d**2 + 2220*d - 4432 = 0?
2, 1108
Let -20*b**2 - 6135*b + 20150 = 0. Calculate b.
-310, 13/4
Determine s so that -2*s**2/7 + 1578*s/7 + 20852/7 = 0.
-13, 802
Solve 2*m**3/3 + 5140*m**2/3 + 3297304*m/3 - 6615184/3 = 0 for m.
-1286, 2
Factor 2*k**2 + 1025868*k + 131550644178.
2*(k + 256467)**2
Factor 2*p**4/11 + 90842*p**3/11 - 272538*p**2/11 + 272542*p/11 - 90848/11.
2*(p - 1)**3*(p + 45424)/11
Factor 5*b**2 + 11005*b + 442800.
5*(b + 41)*(b + 2160)
Factor -t**5 + 579*t**4 + 8266*t**3 + 21314*t**2 + 20151*t + 6523.
-(t - 593)*(t + 1)**3*(t + 11)
Determine g so that -12*g**3 + 632*g**2 = 0.
0, 158/3
Factor 2*w**4/9 - 230*w**3 - 1386*w**2 - 2082*w.
2*w*(w - 1041)*(w + 3)**2/9
Factor -78*n**4/11 - 824*n**3/11 - 2390*n**2/11 - 100*n.
-2*n*(n + 5)**2*(39*n + 22)/11
Factor 2*w**3/11 + 408*w**2/11 + 10150*w/11.
2*w*(w + 29)*(w + 175)/11
Factor -5*d**2 + 91580*d - 419344820.
-5*(d - 9158)**2
Factor 4*h**3 + 164*h**2 - 168*h.
4*h*(h - 1)*(h + 42)
Determine k so that k**3 + 11665*k**2 + 23326*k = 0.
-11663, -2, 0
Factor 2*b**3 + 2338*b**2 - 16920*b - 536256.
2*(b - 19)*(b + 12)*(b + 1176)
Solve -10*p**5 - 184*p**4 + 2698*p**3 + 10528*p**2 + 10248*p + 2592 = 0 for p.
-27, -2, -1, -2/5, 12
Solve a**2/3 + 1469*a/3 - 38870/3 = 0 for a.
-1495, 26
Factor -2*o**2/5 + 104*o/5 + 2176/5.
-2*(o - 68)*(o + 16)/5
Factor 2*g**2 - 1826400*g + 416967120000.
2*(g - 456600)**2
Determine d so that -2*d**3 - 440*d**2 - 23346*d + 74052 = 0.
-121, -102, 3
Determine f, given that -2*f**4/9 - 10040*f**3/9 - 10036*f**2/9 + 10040*f/9 + 3346/3 = 0.
-5019, -1, 1
Factor -5*v**2 + 374420*v.
-5*v*(v - 74884)
Determine k so that 24*k**2 + 14247*k - 5346 = 0.
-594, 3/8
What is b in -5*b**5/2 + 93*b**4 - 1257*b**3/2 + 992*b**2 - 174*b = 0?
0, 1/5, 2, 6, 29
Factor -5*w**3/6 - 365*w**2/2 + 2260*w/3 + 2230.
-5*(w - 6)*(w + 2)*(w + 223)/6
Solve u**4 + 1454*u**3 + 1451*u**2 - 2906*u = 0 for u.
-1453, -2, 0, 1
Find s such that -4*s**3 - 292*s**2 - 5308*s - 19740 = 0.
-47, -21, -5
Find u such that 2*u**2 + 67340*u + 566834450 = 0.
-16835
Factor -2*a**2/5 + 58*a/5 + 1332.
-2*(a - 74)*(a + 45)/5
Factor -r**2 - 8130*r - 32504.
-(r + 4)*(r + 8126)
Find u such that 5*u**5 - 540*u**4 + 13425*u**3 + 28490*u**2 + 14520*u = 0.
-1, 0, 44, 66
Find q, given that q**3/6 + 6979*q**2/6 + 6169480*q/3 + 282309166/3 = 0.
-3466, -47
Factor -3*v**2 + 1755*v - 27312.
-3*(v - 569)*(v - 16)
Factor 2*l**2/7 + 2384*l - 16690/7.
2*(l - 1)*(l + 8345)/7
Let -3*r**2 - 18298*r = 0. Calculate r.
-18298/3, 0
Find h, given that -h**3 - 5223*h**2 - 67716*h + 72940 = 0.
-5210, -14, 1
Solve 18*n**4 + 112*n**3 - 65064*n**2 + 719936*n + 163200 = 0 for n.
-68, -2/9, 12, 50
Determine h so that -4*h**4 + 3800*h**3 + 4*h**2 - 3800*h = 0.
-1, 0, 1, 950
Find c such that -2*c**4 - 14300*c**3 = 0.
-7150, 0
Suppose -2*l**3 - 7386*l**2 - 6815430*l + 6822818 = 0. What is l?
-1847, 1
Factor m**4/5 - 454*m**3/5 + 73153*m**2/5 - 4908648*m/5 + 116899344/5.
(m - 159)**2*(m - 68)**2/5
Let 3*n**4/7 + 1410*n**3/7 + 38952*n**2/7 + 257310*n/7 - 42525 = 0. Calculate n.
-441, -15, 1
Suppose -3*x**2 - 654*x + 9744 = 0. What is x?
-232, 14
What is j in -315*j**5 + 5667*j**4 - 435*j**3 - 5667*j**2 + 750*j = 0?
-1, 0, 2/15, 1, 125/7
Find l such that -19*l**2/5 - 1383*l/5 + 292/5 = 0.
-73, 4/19
Find g such that -1190*g**3/3 + 49972*g**2/3 + 51506*g/3 + 344/3 = 0.
-1, -4/595, 43
Suppose 2*i**3/17 - 368*i**2/17 - 7238*i/17 - 404 = 0. Calculate i.
-17, -1, 202
Factor 2*l**3/17 + 6234*l**2/17 - 49968*l/17 + 100000/17.
2*(l - 4)**2*(l + 3125)/17
Suppose -f**4/2 + 265*f**3/2 - 1563*f**2/2 + 2335*f/2 - 518 = 0. What is f?
1, 4, 259
Let -65*r**5/2 - 190*r**4 + 255*r**3/2 + 505*r**2 - 470*r + 60 = 0. Calculate r.
-6, -2, 2/13, 1
Find q, given that -626*q**5/11 + 618*q**4/11 + 634*q**3/11 - 618*q**2/11 - 8*q/11 = 0.
-1, -4/313, 0, 1
Factor -z**4 + 22*z**3 - 121*z**2 - 252*z + 2592.
-(z - 9)**2*(z - 8)*(z + 4)
Let 5*j**5 - 560*j**4 + 8465*j**3 - 37370*j**2 + 29600*j + 76000 = 0. Calculate j.
-1, 4, 10, 95
Let 588*q**3 - 4856*q**2 + 10624*q - 2432 = 0. What is q?
38/147, 4
Factor -y**3/5 + 304*y**2/5 - 3769*y/5 - 4074/5.
-(y - 291)*(y - 14)*(y + 1)/5
Find y, given that -y**4/3 + 97*y**3/3 + 2131*y**2/3 - 7057*y/3 + 1610 = 0.
-21, 1, 2, 115
Let -2*h**4/3 + 244*h**3/3 - 9344*h**2/3 + 38080*h = 0. What is h?
0, 28, 34, 60
Factor -2*v**3/9 + 148*v**2/9 - 3128*v/9 + 4624/3.
-2*(v - 34)**2*(v - 6)/9
Factor 2*j**2/5 + 158*j + 4668/5.
2*(j + 6)*(j + 389)/5
Determine m so that m**4 - 233*m**3 + 2042*m**2 - 5848*m + 5376 = 0.
2, 3, 4, 224
Solve -y**5/2 - 35*y**4/2 - 311*y**3/2 - 793*y**2/2 + 156*y + 414 = 0.
-23, -6, -1, 1
Suppose m**3/5 - 138*m**2/5 + 272*m/5 = 0. What is m?
0, 2, 136
Factor -2*x**3/5 - 1284*x**2/5 + 8*x/5 + 5136/5.
-2*(x - 2)*(x + 2)*(x + 642)/5
Factor -5*i**3 - 2835*i**2 - 8440*i + 11280.
-5*(i - 1)*(i + 4)*(i + 564)
Factor -2*b**4 - 4*b**3 + 26*b**2 - 20*b.
-2*b*(b - 2)*(b - 1)*(b + 5)
Factor r**2/4 + 251*r - 3021/4.
(r - 3)*(r + 1007)/4
Let -36*i**4 + 14660*i**3 + 973064*i**2 + 14913840*i - 3362400 = 0. What is i?
-30, 2/9, 467
Find x, given that -5*x**4 + 60*x**3 + 515*x**2 - 3390*x + 4320 = 0.
-9, 2, 3, 16
Factor -3*b**3/5 - 3487*b**2/5 - 202769*b - 337561/5.
-(b + 581)**2*(3*b + 1)/5
Determine w, given that 9*w**4 + 2859*w**3 - 87903*w**2 + 113061*w - 28026 = 0.
-346, 1/3, 1, 27
Factor 11*q**4/3 + 2*q**3/3 - 132*q**2 - 24*q.
q*(q - 6)*(q + 6)*(11*q + 2)/3
Let s**3/2 + 446*s**2 - 905*s/2 - 5358 = 0. What is s?
-893, -3, 4
Factor -3*z**3/7 - 2172*z**2/7 + 2181*z/7 + 4350/7.
-3*(z - 2)*(z + 1)*(z + 725)/7
Find b such that b**5 - 129*b**4 - 549*b**3 + 293261*b**2 + 6233136*b + 23849280 = 0.
-24, -5, 91
Solve 179*b**4 + 8591*b**3/4 + 5188*b**2 + 12859*b/4 - 9/2 = 0 for b.
-9, -2, -1, 1/716
Let y**2/4 - 229*y/4 + 6027/2 = 0. What is y?
82, 147
Factor -2*c**2/11 + 4204*c/11 + 12630/11.
-2*(c - 2105)*(c + 3)/11
Factor -2*x**2/3 - 27568*x/3 + 82758.
-2*(x - 9)*(x + 13793)/3
Factor -k**2 + 84*k + 15136.
-(k - 172)*(k + 88)
Suppose -4*k**4 + 228*k**2 + 800*k + 576 = 0. Calculate k.
-4, -1, 9
Factor -2*x**2 - 201258*x - 402508.
-2*(x + 2)*(x + 100627)
Factor -2*q**2/7 - 29584*q/7 - 109401632/7.
-2*(q + 7396)**2/7
Determine f so that -2*f**4/5 - 172*f**3/5 + 1864*f**2/5 - 5328*f/5 + 4608/5 = 0.
-96, 2, 6
Suppose -2*b**4/3 + 442*b**3/3 - 430*b**2/3 - 2194*b/3 - 440 = 0. Calculate b.
-1, 3, 220
Solve -2*n**4/17 + 32*n**3/17 + 1050*n**2/17 - 8264*n/17 - 9280/17 = 0 for n.
-20, -1, 8, 29
Factor 4*s**2/3 - 324*s + 9936.
4*(s - 207)*(s - 36)/3
What is c in -2*c**2/5 + 19968*c/5 + 3994 = 0?
-1, 9985
What is o in 2*o**4 + 3720*o**3 + 3706*o**2 - 22308*o = 0?
-1859, -3, 0, 2
Solve 5*v**4/6 + 1363*v**3/6 - 2338*v**2/3 + 2206*v/3 - 184 = 0 for v.
-276, 2/5, 1, 2
Let f**2/3 + 7930*f/3 + 39625/3 = 0. What is f?
-7925, -5
Determine g so that 1292954*g**4/11 + 222108*g**3/11 + 3672*g**2/11 + 16*g/11 = 0.
-2/13, -2/223, 0
Factor -4*s**2 - 34720*s + 138944.
-4*(s - 4)*(s + 8684)
Factor s**3/6 + 16*s**2/3 + 335*s/6 + 572/3.
(s + 8)*(s + 11)*(s + 13)/6
Find m such that -3*m**5 + 858*m**4 - 21387*m**3 - 5714280*m**2 - 133066800*m = 0.
-37, 0, 180
Determine b, given that 2*b**4/3 - 1430*b**3/3 + 75174*b**2 + 11028758*b/3 + 10801804/3 = 0.
-38, -1, 377
Let -b**3/3 - 352*b**2/3 - 3065*b/3 + 7546/3 = 0. What is