pose -2*p**2 + 470*p - 1392 = 0. What is p?
3, 232
Let 12*x**2/7 + 317504*x/7 + 211664/7 = 0. What is x?
-26458, -2/3
Factor r**3/7 - 209*r**2/7 - 21946*r/7 - 21736/7.
(r - 286)*(r + 1)*(r + 76)/7
Determine p so that 10745*p**4 - 161165*p**3 + 805725*p**2 - 1342375*p - 1250 = 0.
-2/2149, 5
Solve -3*m**2 - 49224*m - 201916848 = 0.
-8204
Factor 4*y**2 + 1668064*y + 173902344256.
4*(y + 208508)**2
Find n such that 2*n**5 + 30*n**4 - 52*n**3 - 336*n**2 - 256*n = 0.
-16, -2, -1, 0, 4
Suppose 3*o**2 - 8919*o - 53622 = 0. What is o?
-6, 2979
Factor -4*y**4 - 1339856*y**3 - 112202221144*y**2 - 224400422736*y - 112199541444.
-4*(y + 1)**2*(y + 167481)**2
Factor 21125*x**4 + 912275*x**3 + 167880*x**2 + 7740*x.
5*x*(x + 43)*(65*x + 6)**2
Factor 5*z**4 + 1556570*z**3 + 121148621345*z**2 + 484575806700*z + 484569580500.
5*(z + 2)**2*(z + 155655)**2
Solve -225*b**2/8 + 40269*b/8 + 537/4 = 0.
-2/75, 179
Suppose -35*z**3 + 20870*z**2 - 129860*z + 35400 = 0. Calculate z.
2/7, 6, 590
Determine b so that -8*b**5 - 178*b**4 + 340*b**3 + 96*b**2 = 0.
-24, -1/4, 0, 2
Factor 2*n**4/7 - 5884*n**3/7 - 23560*n**2/7 - 23568*n/7.
2*n*(n - 2946)*(n + 2)**2/7
Suppose -588*p**4 + 234752*p**3 - 55796*p**2 - 25552*p + 6384 = 0. Calculate p.
-1/3, 2/7, 399
Factor 2*p**2/23 - 455568*p/23 + 911128/23.
2*(p - 227782)*(p - 2)/23
Solve 2*g**2/7 - 14400*g/7 - 14402/7 = 0.
-1, 7201
Factor 2*z**3/11 - 186*z**2/11 + 520*z/11 + 1800/11.
2*(z - 90)*(z - 5)*(z + 2)/11
Let -2*g**3 + 168*g**2 + 99840*g + 6316544 = 0. What is g?
-104, 292
Determine b so that -540*b**5 - 210096*b**4 - 641067*b**3 - 715371*b**2 - 341760*b - 57900 = 0.
-386, -1, -5/6, -2/5
Factor o**2/5 - 7*o/5 - 12.
(o - 12)*(o + 5)/5
Factor -r**2/9 - 215*r/9 + 7742/3.
-(r - 79)*(r + 294)/9
What is w in -w**4/4 - 26*w**3 - 771*w**2/2 - 1350*w + 7047/4 = 0?
-87, -9, 1
What is l in -57*l**4/5 - 923*l**3 - 21156*l**2/5 + 5348*l - 912/5 = 0?
-76, -6, 2/57, 1
Find j such that -2*j**4/5 - 50*j**3 + 5274*j**2/5 + 18018*j/5 = 0.
-143, -3, 0, 21
Factor -2*p**3 + 82*p**2 - 278*p - 10602.
-2*(p - 31)*(p - 19)*(p + 9)
Factor -80*m**3 + 40920*m**2 + 20475*m + 2560.
-5*(m - 512)*(4*m + 1)**2
Factor -2*i**2 + 26746*i/3 + 429472/3.
-2*(i + 16)*(3*i - 13421)/3
Solve -2*t**4/21 + 118*t**3/21 + 122*t**2/21 - 118*t/21 - 40/7 = 0.
-1, 1, 60
Find j such that 4*j**2/7 - 2392*j/7 - 4800/7 = 0.
-2, 600
Factor -3*d**2 + 140244*d - 140241.
-3*(d - 46747)*(d - 1)
Suppose 21*w**5 + 7605*w**4 + 681402*w**3 - 1294020*w**2 - 198744*w = 0. Calculate w.
-182, -1/7, 0, 2
What is f in -f**5/7 - 16*f**4/7 - 36*f**3/7 + 46*f**2/7 + 85*f/7 - 78/7 = 0?
-13, -3, -2, 1
Let k**2 - 1605*k - 19404 = 0. Calculate k.
-12, 1617
Find j such that 10*j**3 - 2528*j**2/3 + 50998*j/3 + 96148/3 = 0.
-26/15, 43
Determine v so that 4*v**5 + 188*v**4 - 9364*v**3 - 9548*v**2 = 0.
-77, -1, 0, 31
Factor 5*d**3 + 1370*d**2 - 99355*d + 1614480.
5*(d - 31)**2*(d + 336)
Let -10*d**5/7 + 426*d**4/7 + 6292*d**3/7 + 28208*d**2/7 + 45504*d/7 + 14080/7 = 0. Calculate d.
-4, -2/5, 55
Solve 2*y**2/5 + 406632*y/5 + 20668697928/5 = 0.
-101658
Let -k**5/2 - 3*k**4/2 + 99*k**3 + 101*k**2 - 10197*k/2 + 9801/2 = 0. What is k?
-11, 1, 9
Factor 2*i**3 - 2100*i**2 + 101250*i - 1250000.
2*(i - 1000)*(i - 25)**2
Factor -256*c**4 - 246048*c**3 - 59258961*c**2 - 66432960*c - 18662400.
-(c + 480)**2*(16*c + 9)**2
Factor -h**3/2 - 210*h**2 + 9*h/2 + 1890.
-(h - 3)*(h + 3)*(h + 420)/2
Solve -34*h**3/15 - 124*h**2/15 + 58*h/5 + 48 = 0.
-3, 40/17
Factor -2*x**5/9 + 28880*x**4/9 - 9626*x**3/3.
-2*x**3*(x - 14439)*(x - 1)/9
Determine i so that -i**3 - 4297*i**2 - 4592328*i + 51036876 = 0.
-2154, 11
Determine c so that 5*c**2 + 50*c - 2520 = 0.
-28, 18
Find p such that 2*p**5/5 - 19186*p**4/5 + 153404*p**3/5 - 421788*p**2/5 + 460098*p/5 - 34506 = 0.
1, 3, 9585
Let 2*f**2 - 778*f - 256452 = 0. Calculate f.
-213, 602
Solve b**4 + 1382*b**3/5 - 21353*b**2/5 - 32042*b/5 - 9312/5 = 0 for b.
-291, -1, -2/5, 16
Factor 2*v**3 + 82*v**2 - 15628*v + 30912.
2*(v - 69)*(v - 2)*(v + 112)
Factor -3*f**2/7 + 627*f/7 + 1908/7.
-3*(f - 212)*(f + 3)/7
Factor -3*u**2/4 - 429*u/4 + 13395/2.
-3*(u - 47)*(u + 190)/4
Factor 2*w**2/13 - 2278*w/13 + 2276/13.
2*(w - 1138)*(w - 1)/13
Solve 2*n**2 - 309680*n = 0 for n.
0, 154840
Solve -5*z**5/2 + 771*z**4/4 - 1945*z**3/4 + 147*z**2 + 149*z = 0 for z.
-2/5, 0, 1, 2, 149/2
Determine j, given that 5*j**4/2 + 235*j**3/2 + 1245*j**2/2 + 565*j/2 - 1025 = 0.
-41, -5, -2, 1
Find z such that -3*z**2/2 - 84753*z - 2394357003/2 = 0.
-28251
Factor a**4 + 297*a**3 + 19787*a**2 - 20085*a.
a*(a - 1)*(a + 103)*(a + 195)
Find x, given that -9*x**5 - 332*x**4 - 2444*x**3 + 12528*x**2 + 9920*x - 44800 = 0.
-20, -2, 2, 28/9
What is c in c**4/5 - 180*c**3 + 32677*c**2/5 + 68058*c/5 + 6896 = 0?
-1, 40, 862
What is z in -2*z**4/5 - 1042*z**3/5 + 4224*z**2/5 + 2520*z = 0?
-525, -2, 0, 6
Find l such that 2*l**2/5 - 1124*l/5 - 10278/5 = 0.
-9, 571
Let -s**3/8 + 32*s**2 + 7981*s/8 - 2059/2 = 0. Calculate s.
-29, 1, 284
Factor 59500*h**4 - 82900*h**3 + 42360*h**2 - 9328*h + 736.
4*(5*h - 2)**3*(119*h - 23)
Suppose 2*n**4/5 - 10626*n**3/5 - 6*n**2/5 + 31874*n/5 + 21252/5 = 0. What is n?
-1, 2, 5313
Find a, given that 21*a**2/2 + 17982*a + 199719/2 = 0.
-1707, -39/7
Factor 3*n**4 + 690*n**3 - 7953*n**2.
3*n**2*(n - 11)*(n + 241)
Factor 3*t**3 - 153*t**2 + 2445*t - 11799.
3*(t - 23)*(t - 19)*(t - 9)
Find v, given that -2*v**3/15 - 234*v**2/5 + 1300*v/3 + 480 = 0.
-360, -1, 10
What is y in 20*y**5 + 36075*y**4 + 16263035*y**3 - 4113120*y**2 - 20340100*y = 0?
-902, -1, 0, 5/4
Factor 3*k**3 + 15537*k**2 - 3*k - 15537.
3*(k - 1)*(k + 1)*(k + 5179)
Find r such that -3*r**3/7 - 171*r**2/7 - 24*r = 0.
-56, -1, 0
Let 9760*m**5 - 43648*m**4/7 + 1398*m**3/7 + 3407*m**2/7 - 572*m/7 + 12/7 = 0. What is m?
-2/7, 3/122, 1/4, 2/5
Find y such that 15*y**5/2 - 729*y**4/2 + 9111*y**3/2 - 12903*y**2/2 + 657*y + 1596 = 0.
-2/5, 1, 19, 28
Suppose 5*b**5 + 100*b**4 + 465*b**3 + 650*b**2 + 280*b = 0. What is b?
-14, -4, -1, 0
Factor k**3 - 60*k**2 - 12672*k + 898304.
(k - 88)**2*(k + 116)
Factor -4*u**3 + 78516*u**2 + 314112*u + 314128.
-4*(u - 19633)*(u + 2)**2
Solve 3*t**4 + 555*t**3 + 29736*t**2 + 359856*t = 0.
-84, -17, 0
Determine n, given that 45*n**5 + 86345*n**4 + 239605*n**3 + 201195*n**2 + 28730*n - 19160 = 0.
-1916, -1, 2/9
Factor -2*y**2/7 + 5506*y/7 + 22248.
-2*(y - 2781)*(y + 28)/7
Factor d**5/3 - 64*d**4/3 - 352*d**3 + 66560*d**2/3 + 1081600*d/3.
d*(d - 52)**2*(d + 20)**2/3
Solve 3*z**4 + 192*z**3 + 186*z**2 - 192*z - 189 = 0.
-63, -1, 1
Factor -g**2 + 356398*g - 31754883601.
-(g - 178199)**2
Solve -2*g**2/13 - 2431380*g/13 = 0.
-1215690, 0
Solve -2*t**4 + 34*t**3 + 134*t**2 - 1186*t + 1596 = 0 for t.
-7, 2, 3, 19
Solve -26*o**3 - 204*o**2 - 280*o + 48 = 0.
-6, -2, 2/13
Factor -5*z**5 + 280*z**4 - 810*z**3 + 800*z**2 - 265*z.
-5*z*(z - 53)*(z - 1)**3
Suppose 263*j**3/3 - 16852*j**2/3 + 270592*j/3 - 20480/3 = 0. What is j?
20/263, 32
Factor -3*c**2/7 + 14226*c - 99579/7.
-3*(c - 33193)*(c - 1)/7
Factor 4*b**3 + 908*b**2 - 9380*b + 23700.
4*(b - 5)**2*(b + 237)
Factor -2*h**3 - 962*h**2 - 98332*h + 200528.
-2*(h - 2)*(h + 151)*(h + 332)
Find m such that m**5/8 - 9*m**4/4 + 107*m**3/8 - 99*m**2/4 - 27*m/2 + 27 = 0.
-1, 1, 6
Suppose 3*r**3 - 243*r**2 - 42582*r - 84168 = 0. What is r?
-84, -2, 167
Factor 3*v**3 - 759753*v**2 - 1519515*v - 759759.
3*(v - 253253)*(v + 1)**2
What is m in m**3/6 + 15941*m**2/6 - 10630*m = 0?
-15945, 0, 4
Find t, given that 3*t**3/2 - 60153*t**2/2 + 210462*t = 0.
0, 7, 20044
Factor -3*h**3 + 321*h**2 - 7200*h.
-3*h*(h - 75)*(h - 32)
Factor 5*y**3 + 140*y**2 - 2005*y + 5460.
5*(y - 7)*(y - 4)*(y + 39)
Factor 3*l**5/2 - 8199*l**4/2 + 2757663*l**3 + 59121321*l**2 + 833359023*l/2 + 1951116741/2.
3*(l - 1377)**2*(l + 7)**3/2
Factor -m**4 + 224*m**3 - 11173*m**2 + 10950*m.
-m*(m - 150)*(m - 73)*(m - 1)
Find x such that -2*x**3 + 3740*x**2 - 1118066*x - 635533608 = 0.
-276, 1073
Find i such that 5*i**3 + 33265*i**2 - 99830*i + 66560 = 0.
-6656, 1, 2
Factor 5*s**3 - 130745*s**2 - 1569480*s - 4708980.
5*(s - 26161)*(s + 6)**2
Factor -5*h**2 + 490*h + 4240.
-5*(h - 106)*(h + 8)
Factor 4*i**3 + 656*i**2 + 12964*i + 66456.
4*(i + 9)*(i + 13)*(i + 142)
Solve -2*j**2 + 272164*j - 9259155362 = 0.
68041
Factor -u**3/2 - 