v**3 + 11398*v**2 + 113780*v.
2*v*(v + 10)*(v + 5689)
Factor 2*z**2/7 + 4414*z/7 + 1260.
2*(z + 2)*(z + 2205)/7
Determine n so that 3*n**3 + 385023*n**2 = 0.
-128341, 0
Suppose 256*s**5 + 10560*s**4 + 157616*s**3 + 1050652*s**2 + 2929128*s + 2025788 = 0. What is s?
-17, -31/4, -1
Find n, given that n**5/4 + 121*n**4/4 + 2267*n**3/2 + 13084*n**2 + 39832*n - 54080 = 0.
-52, -10, -8, 1
Let 2*f**4/7 + 366*f**3/7 - 1110*f**2/7 + 1114*f/7 - 372/7 = 0. Calculate f.
-186, 1
Suppose 4*h**4 - 7200*h**3 + 2205792*h**2 + 930787200*h + 66849136704 = 0. What is h?
-126, 1026
What is v in 2*v**3/15 - 106*v**2/15 + 464*v/5 = 0?
0, 24, 29
Factor 2*t**2/13 + 94344*t/13 + 1112598792/13.
2*(t + 23586)**2/13
Suppose 9*c**3 - 19320*c**2 - 25773*c - 6444 = 0. Calculate c.
-1, -1/3, 2148
Solve -n**5/2 + 47*n**4/2 - 301*n**3 + 980*n**2 = 0.
0, 5, 14, 28
Factor 9*w**3/4 + 12765*w**2/4 - 8513*w/4 + 1419/4.
(w + 1419)*(3*w - 1)**2/4
Factor -2*r**2 + 68988*r + 828144.
-2*(r - 34506)*(r + 12)
Solve u**3/4 + 173*u**2/2 - 365*u - 5250 = 0.
-350, -6, 10
Factor 2*z**3/5 + 106*z**2/5 + 1332*z/5 - 288.
2*(z - 1)*(z + 24)*(z + 30)/5
Factor -2*f**4 + 4318*f**3 - 3081924*f**2 + 913553640*f - 97329929616.
-2*(f - 1097)*(f - 354)**3
Determine l, given that 4*l**4 + 128080*l**3 + 1025280400*l**2 = 0.
-16010, 0
Suppose -2*p**3/15 + 2638*p**2/15 + 4240*p/3 + 42464/15 = 0. What is p?
-4, 1327
Factor -x**2/4 + 437*x/4 - 11760.
-(x - 245)*(x - 192)/4
Factor -q**2 - 72878*q - 72877.
-(q + 1)*(q + 72877)
Solve 3*o**4 - 6933*o**3 + 34611*o**2 - 48435*o + 20754 = 0 for o.
1, 3, 2306
Factor -u**3/2 + 60*u**2 + 126*u - 488.
-(u - 122)*(u - 2)*(u + 4)/2
Find a such that -9*a**5/2 + 28401*a**4/2 - 11172200*a**3 - 48616606*a**2 - 49909040*a - 14978400 = 0.
-3, -2/3, 1580
Factor 3*p**2/5 + 504*p/5 - 1296.
3*(p - 12)*(p + 180)/5
Factor g**2/3 - 104*g/3 + 103/3.
(g - 103)*(g - 1)/3
Factor 2*h**3/5 + 13198*h**2/5 + 65952*h/5 + 79128/5.
2*(h + 2)*(h + 3)*(h + 6594)/5
Suppose -4*r**5 + 88*r**4 + 1768*r**3 - 20176*r**2 - 1764*r + 20088 = 0. What is r?
-18, -1, 1, 9, 31
Suppose -8*r**4/7 - 174*r**3/7 - 732*r**2/7 + 1154*r/7 - 240/7 = 0. Calculate r.
-15, -8, 1/4, 1
Factor -2*i**4/5 + 128*i**3 + 3856*i**2/5 - 1761792*i - 378895392/5.
-2*(i - 222)**2*(i + 62)**2/5
Let 2*q**4/7 + 74478*q**3/7 - 74482*q**2/7 - 74478*q/7 + 10640 = 0. Calculate q.
-37240, -1, 1
Suppose -3*f**3/5 + 22074*f**2 - 331089*f/5 + 220722/5 = 0. What is f?
1, 2, 36787
Solve 4*q**3 - 648*q**2 - 72352*q = 0.
-76, 0, 238
Solve 22*n**5/9 + 76*n**4/3 + 44*n**3/9 - 368*n**2/9 - 22*n/3 + 140/9 = 0.
-10, -1, 7/11, 1
Let -6*c**4/7 - 1394*c**3 - 58404*c**2/7 - 116712*c/7 - 77776/7 = 0. Calculate c.
-4861/3, -2
Factor -m**2/3 + 8891*m/3 + 11860.
-(m - 8895)*(m + 4)/3
Solve q**3 + 4197*q**2 + 4405800*q + 4401604 = 0 for q.
-2098, -1
Factor 8738*s**3 - 6*s**2 - 8738*s + 6.
2*(s - 1)*(s + 1)*(4369*s - 3)
Factor -4*u**2 + 1352900*u + 1352904.
-4*(u - 338226)*(u + 1)
Factor -20*z**2 + 795*z - 6325.
-5*(z - 11)*(4*z - 115)
Find r, given that -3*r**2 + 5790*r - 646527 = 0.
119, 1811
Factor -4*l**5/7 + 5736*l**4/7 + 22984*l**3/7 + 4928*l**2 + 23004*l/7 + 5752/7.
-4*(l - 1438)*(l + 1)**4/7
Factor -3*n**3 + 474*n**2 + 4485*n + 4008.
-3*(n - 167)*(n + 1)*(n + 8)
Factor 2*r**3/19 + 148*r**2/19 - 802*r/19 - 948/19.
2*(r - 6)*(r + 1)*(r + 79)/19
Solve l**2/4 - 15017*l/2 = 0.
0, 30034
Find i, given that -100*i**5/3 + 6440*i**4 - 96596*i**3/3 - 218176*i**2/3 - 41072*i - 21056/3 = 0.
-1, -2/5, 7, 188
Determine x so that -3*x**4 - 2172*x**3 - 66615*x**2 - 126726*x - 62280 = 0.
-692, -30, -1
Factor -3*v**3/4 + 24693*v**2/4 + 235125*v/2.
-3*v*(v - 8250)*(v + 19)/4
Factor -a**2 - 1308*a - 2612.
-(a + 2)*(a + 1306)
Find c such that 9*c**5/5 + 6864*c**4/5 - 29946*c**3/5 - 25296*c**2/5 + 2301*c = 0.
-767, -1, 0, 1/3, 5
Suppose -4*x**4 - 360*x**3 + 3072*x**2 - 6272*x = 0. Calculate x.
-98, 0, 4
Find j, given that 3*j**4 + 3024*j**3 + 18051*j**2 + 14994*j - 36072 = 0.
-1002, -4, -3, 1
Factor 10*t**4 + 7776*t**3 + 2017092*t**2 + 174947248*t + 104243874.
2*(t + 259)**3*(5*t + 3)
Suppose i**5 + 38*i**4 + 260*i**3 + 616*i**2 + 480*i = 0. What is i?
-30, -4, -2, 0
Let j**3/5 - 171*j**2/5 + 7278*j/5 - 6448 = 0. What is j?
5, 62, 104
Factor w**5/11 + 12*w**4 - 1269*w**3/11.
w**3*(w - 9)*(w + 141)/11
Factor 2*y**3 - 4648*y**2 + 2709760*y - 10764800.
2*(y - 1160)**2*(y - 4)
Let z**4 - 1260*z**3 + 15024*z**2 - 59968*z + 79872 = 0. Calculate z.
4, 1248
Factor 2*v**2 - 86112*v + 258318.
2*(v - 43053)*(v - 3)
Factor 3*f**2 + 256830*f - 1541088.
3*(f - 6)*(f + 85616)
Solve -3992*k**3/9 + 386*k**2 + 638*k/9 - 40/3 = 0.
-1/4, 60/499, 1
Factor -3*g**4 + 3402*g**3 + 61884*g**2 + 372600*g + 746496.
-3*(g - 1152)*(g + 6)**3
Factor i**2/3 - 25447*i/3 - 25450.
(i - 25450)*(i + 3)/3
Find u such that -4*u**4/7 - 1228*u**3/7 - 16316*u**2 - 408044*u + 424536 = 0.
-133, -42, 1
Determine v, given that -v**2/6 + 1475*v/3 + 2951/6 = 0.
-1, 2951
Suppose 3*j**4 - 1254*j**3 + 121824*j**2 + 1959552*j = 0. Calculate j.
-14, 0, 216
Factor -81*f**3 + 1287*f**2 - 6640*f + 11200.
-(f - 7)*(9*f - 40)**2
Factor -k**2/5 - 980018*k/5 - 240108820081/5.
-(k + 490009)**2/5
Suppose -q**3 - 92*q**2 - 1027*q = 0. What is q?
-79, -13, 0
Solve i**2/2 + 124334*i + 7729471778 = 0 for i.
-124334
Factor s**4 + 1668*s**3 + 76187*s**2.
s**2*(s + 47)*(s + 1621)
Factor -2*t**2/15 - 1304008*t/5 - 637663824024/5.
-2*(t + 978006)**2/15
Determine j, given that 80*j**3 + 515*j**2 + 930*j + 315 = 0.
-3, -7/16
Suppose -3*f**5/7 - 170*f**4/7 - 1300*f**3/7 - 360*f**2 - 1152*f/7 = 0. Calculate f.
-48, -6, -2, -2/3, 0
Factor 2*j**2/3 + 6296*j + 14864856.
2*(j + 4722)**2/3
Find r, given that 3*r**4/5 + 12*r**3/5 - 666*r**2/5 - 12*r/5 + 663/5 = 0.
-17, -1, 1, 13
Factor 2*r**3/9 + 8926*r**2/3 - 17854*r/3 + 26782/9.
2*(r - 1)**2*(r + 13391)/9
What is b in -5*b**4 + 38420*b**3 - 73457730*b**2 - 1335449780*b + 1408869095 = 0?
-19, 1, 3851
Factor -2*a**2/11 + 16988*a/11 - 16986/11.
-2*(a - 8493)*(a - 1)/11
Let 2*z**3/5 - 12746*z**2/5 + 1085062*z/5 - 23249326/5 = 0. Calculate z.
43, 6287
Let 2*a**4/13 - 16106*a**3/13 + 32417350*a**2/13 + 32433458*a/13 = 0. What is a?
-1, 0, 4027
Factor -5*h**2 - 2442190*h - 298214599805.
-5*(h + 244219)**2
Suppose -5*l**5 - 3150*l**4 - 2895*l**3 + 157010*l**2 - 150960*l = 0. What is l?
-629, -8, 0, 1, 6
Factor -v**3/9 + 60719*v**2/9 + 20240*v/3.
-v*(v - 60720)*(v + 1)/9
Solve -j**3/6 + 2735*j**2/6 + 38731*j/2 + 408219/2 = 0 for j.
-21, 2777
Determine u so that -3*u**4 - 48*u**3 + 11394*u**2 - 210552*u - 221991 = 0.
-77, -1, 31
Determine u so that 2*u**5 + 2104*u**4 - 2*u**3 - 2104*u**2 = 0.
-1052, -1, 0, 1
Factor o**2 - 15596*o + 62368.
(o - 15592)*(o - 4)
Factor 2*j**4/3 + 6846*j**3 - 41084*j**2/3.
2*j**2*(j - 2)*(j + 10271)/3
Let 5*n**5 + 645*n**4 - 1310*n**3 = 0. Calculate n.
-131, 0, 2
Factor q**2/3 - 2192*q/3.
q*(q - 2192)/3
Suppose -4*m**2 + 568*m + 10112 = 0. What is m?
-16, 158
Suppose 3*z**3/5 + 323*z**2/5 - 3712*z - 12516/5 = 0. What is z?
-149, -2/3, 42
Solve -2*d**5/5 - 64*d**4/5 + 438*d**3/5 - 684*d**2/5 = 0.
-38, 0, 3
Suppose p**5/6 + 93*p**4/2 + 1411*p**3/3 - 5628*p**2 = 0. What is p?
-268, -18, 0, 7
Suppose -5*x**3/4 - 240*x**2 + 485*x = 0. Calculate x.
-194, 0, 2
What is h in 4*h**3/7 - 11428*h**2/7 - 11432*h/7 = 0?
-1, 0, 2858
Solve 2*o**3/11 + 74*o**2/11 - 296*o/11 - 2240/11 = 0 for o.
-40, -4, 7
Solve -2*k**3/7 - 692*k**2/7 - 65794*k/7 - 1903336/7 = 0.
-212, -67
Factor 3*w**4 + 2109*w**3 + 10452*w**2 - 12564*w.
3*w*(w - 1)*(w + 6)*(w + 698)
Determine d so that -2*d**2 + 272474*d = 0.
0, 136237
Let -225*k**3/7 + 28920*k**2/7 - 929296*k/7 = 0. Calculate k.
0, 964/15
Solve -30*z**4 - 2494*z**3 + 665188*z**2 + 63999896*z + 8521488 = 0 for z.
-118, -2/15, 153
Let -20*f**3/9 + 13456*f**2/9 - 37552*f/9 + 21440/9 = 0. What is f?
4/5, 2, 670
Find l such that l**5/4 - 33*l**4/4 - 185*l**3/4 - 195*l**2/4 + 46*l + 57 = 0.
-3, -2, -1, 1, 38
Suppose -q**5/7 - 653*q**4/7 + 6*q**3/7 + 3926*q**2/7 + 5227*q/7 + 1959/7 = 0. What is q?
-653, -1, 3
Factor -2*o**3 - 42434*o**2 + 424490*o - 1061350.
-2*(o - 5)**2*(o + 21227)
Let i**4 + 6323*i**3 + 12639*i**2 - 18963*i = 0. Calculate i.
-6321, -3, 0, 1
Let 3*z**4/4 - 231*z**3/2 + 23643*z**2/4 - 112728*z + 714432 = 0. Calculate z.
16, 61
Factor 3*v**3 + 3807*v**2 - 7