2*k**2/9 - 201400*k/3 + 5070245000.
2*(k - 151050)**2/9
Let r**4/5 + 2726*r**3/5 + 8169*r**2/5 - 4*r/5 - 10892/5 = 0. What is r?
-2723, -2, 1
Let 19652*b**4 + 856596*b**3 - 1235424*b**2 + 585472*b - 92160 = 0. What is b?
-45, 8/17
Suppose 4*i**3 + 68172*i**2 + 136332*i + 68164 = 0. Calculate i.
-17041, -1
Factor 3*y**3/2 - 4613*y**2/2 - 33983*y/2 - 10815/2.
(y - 1545)*(y + 7)*(3*y + 1)/2
Factor -4*s**2/3 + 772*s/3 + 50960/3.
-4*(s - 245)*(s + 52)/3
Let -3*h**5/2 + 21978*h**4 - 80527389*h**3 + 160988850*h**2 - 160966875*h/2 = 0. What is h?
0, 1, 7325
Factor -w**3 + 882*w**2 - 7004*w + 10488.
-(w - 874)*(w - 6)*(w - 2)
Solve -2*q**2/7 - 1904088*q/7 - 453193888968/7 = 0 for q.
-476022
Determine y, given that -y**2/6 + 101*y/6 - 348 = 0.
29, 72
Solve 2*t**4/3 - 8864*t**3/3 + 140800*t**2 - 6742016*t/3 + 35913728/3 = 0 for t.
16, 4384
Suppose y**3/3 - 707*y**2/3 - 52840*y/3 + 108500/3 = 0. What is y?
-70, 2, 775
Find f such that -2*f**2 + 3044*f - 6080 = 0.
2, 1520
Factor a**4 + 112110*a**3 + 3142050913*a**2 - 6284438160*a + 3142275136.
(a - 1)**2*(a + 56056)**2
Factor -3*a**2 - 324*a - 8745.
-3*(a + 53)*(a + 55)
Solve 4*z**2/7 + 1716*z/7 - 1744 = 0.
-436, 7
Factor 3*b**3/2 + 342297*b**2 + 1369179*b/2 + 342294.
3*(b + 1)**2*(b + 228196)/2
Find m such that -8*m**5 - 872*m**4 - 25858*m**3 - 115060*m**2 - 182208*m - 97344 = 0.
-52, -2, -3/2
Solve -3*s**4 + 747*s**3 - 4266*s**2 - 26124*s - 29160 = 0 for s.
-2, 10, 243
Suppose -p**5/7 - 239*p**4/7 - 13414*p**3/7 + 104166*p**2/7 - 109593*p/7 - 226935/7 = 0. What is p?
-123, -1, 3, 5
Suppose 3*w**2 - 400989*w - 400992 = 0. What is w?
-1, 133664
Factor -2*z**5/7 + 6298*z**4/7 - 4948646*z**3/7 - 14883746*z**2/7 - 14896352*z/7 - 4967552/7.
-2*(z - 1576)**2*(z + 1)**3/7
Factor n**5/2 - 41*n**4 + 1200*n**3 - 15104*n**2 + 69632*n.
n*(n - 34)*(n - 16)**3/2
Suppose 2*d**2 - 1300*d - 1302 = 0. Calculate d.
-1, 651
Factor 5*s**3 - 3200*s**2 + 515185*s - 1017610.
5*(s - 319)**2*(s - 2)
Let 4*d**2 - 4636*d + 32256 = 0. Calculate d.
7, 1152
Factor -4*x**3 + 372*x**2 + 1944*x + 1568.
-4*(x - 98)*(x + 1)*(x + 4)
Find w such that w**5 + 1112*w**4 + 310213*w**3 + 580434*w**2 - 9963360*w - 29570400 = 0.
-555, -4, 6
Factor 4*j**2/3 + 60232*j/3 - 40160.
4*(j - 2)*(j + 15060)/3
Find w such that -40368*w**2 + 237684*w - 1399467/4 = 0.
683/232
Suppose 62*o**5/5 + 286*o**4 + 3688*o**3/5 - 33248*o**2/5 + 38016*o/5 + 2592/5 = 0. Calculate o.
-18, -9, -2/31, 2
Determine q so that 2*q**3 - 4092*q**2 + 200850*q - 2495000 = 0.
25, 1996
Factor 2*p**2 + 19754*p - 59280.
2*(p - 3)*(p + 9880)
Suppose -h**3/2 - 3389*h**2/2 - 2821559*h/2 + 84699749/2 = 0. Calculate h.
-1709, 29
Suppose 32*q**4 + 36316*q**3 - 329180*q**2 + 292832*q = 0. Calculate q.
-9151/8, 0, 1, 8
Factor -2*b**2/9 + 636652*b/9 - 424432/3.
-2*(b - 318324)*(b - 2)/9
Factor 2*d**2/3 - 22838*d + 274024/3.
2*(d - 34253)*(d - 4)/3
Solve -5*w**4 - 289*w**3 + 359*w**2 + 289*w - 354 = 0.
-59, -1, 1, 6/5
Factor 1191016*i**4 - 271787604*i**3 + 53813550*i**2 - 3553039*i + 78204.
(i - 228)*(106*i - 7)**3
Factor -268*m**4/3 - 453448*m**3/3 - 85245216*m**2 - 16024404096*m + 478416384.
-4*(m + 564)**3*(67*m - 2)/3
Let -28*v**4 + 13196*v**3 - 107228*v**2 - 87116*v + 33336 = 0. Calculate v.
-1, 2/7, 9, 463
Factor p**3/7 + 46*p**2/7 + 213*p/7 - 2340/7.
(p - 5)*(p + 12)*(p + 39)/7
Let 69*w**3/5 + 213*w**2 + 1416*w/5 + 84 = 0. Calculate w.
-14, -1, -10/23
Factor -2*u**2 - 8418*u + 25272.
-2*(u - 3)*(u + 4212)
Solve 3*t**2/7 + 348*t/7 + 7209/7 = 0 for t.
-89, -27
Solve 5*h**3/4 + 55*h**2 - 17855*h/4 + 8815/2 = 0.
-86, 1, 41
Factor 4*h**4 - 96*h**3 + 788*h**2 - 2568*h + 2880.
4*(h - 10)*(h - 8)*(h - 3)**2
Find m, given that 4*m**5/5 - 5704*m**4 + 50836888*m**3/5 + 85552*m**2/5 - 30490732*m - 20334760 = 0.
-1, 2, 3565
Determine q so that -q**3 + 109*q**2 - 215*q + 107 = 0.
1, 107
Find h, given that -3*h**4/4 - 7065*h**3/2 - 16638075*h**2/4 = 0.
-2355, 0
Factor 3*k**4 - 117795*k**3 + 1156246269*k**2 + 1156364067*k.
3*k*(k - 19633)**2*(k + 1)
Find z such that -2*z**2/13 - 2666900*z/13 - 889044451250/13 = 0.
-666725
Factor -4*u**3 + 215720*u**2 - 2907366000*u - 29095236000.
-4*(u - 26970)**2*(u + 10)
Solve -p**3/2 - 56763*p**2 + p/2 + 56763 = 0 for p.
-113526, -1, 1
Factor -3*v**2 - 623307*v - 623304.
-3*(v + 1)*(v + 207768)
Factor -4*b**3 - 32*b**2 + 940*b + 1976.
-4*(b - 13)*(b + 2)*(b + 19)
Factor 2*x**2/9 - 336*x + 16558.
2*(x - 1461)*(x - 51)/9
Factor a**3/3 + 4017*a**2 + 12192093*a + 540540135.
(a + 45)*(a + 6003)**2/3
Factor 4*i**3/5 + 1184*i**2/5 + 236*i.
4*i*(i + 1)*(i + 295)/5
Find n, given that -25*n**4/2 + 628*n**3/3 + 1675*n**2/6 + 154*n/3 - 6 = 0.
-1, -1/3, 2/25, 18
Factor 3*h**3 + 846*h**2 + 56115*h - 504600.
3*(h - 8)*(h + 145)**2
Solve -5*d**5/3 + 5875*d**4/3 + 52135*d**3 - 330415*d**2/3 + 168140*d/3 = 0.
-28, 0, 1, 1201
Factor -4*s**4 - 552*s**3 - 23940*s**2 - 333200*s.
-4*s*(s + 35)**2*(s + 68)
Factor -u**4/2 + 15*u**3/2 + 99*u**2/2 - 891*u/2 + 729.
-(u - 18)*(u - 3)**2*(u + 9)/2
Factor -5*d**3 + 27330*d**2 - 27325*d.
-5*d*(d - 5465)*(d - 1)
Let -3*m**2 - 8343*m + 218946 = 0. What is m?
-2807, 26
Factor -2*x**3 - 1052014*x**2 - 138341156016*x + 138342208032.
-2*(x - 1)*(x + 263004)**2
Factor -167832025*f**3 + 5538508645*f**2 - 1710064*f + 132.
-(f - 33)*(12955*f - 2)**2
Let -4*q**2 - 1006080*q + 1006084 = 0. Calculate q.
-251521, 1
Solve -5*z**4 + 2730*z**3 - 18885*z**2 + 10720*z + 32340 = 0.
-1, 2, 6, 539
What is l in -l**5/4 + 17203*l**4/4 - 74131867*l**3/4 + 1256236501*l**2/4 - 1033978504*l + 959915437 = 0?
2, 13, 8593
Factor 6*v**2 - 163599*v - 245412.
3*(v - 27268)*(2*v + 3)
Factor v**3/3 + 98*v**2/3 - 1348*v/3 - 3080/3.
(v - 14)*(v + 2)*(v + 110)/3
Let r**4/4 + 37419*r**3 + 1400181561*r**2 = 0. Calculate r.
-74838, 0
Suppose -178*x**3 - 898*x**2 - 752*x - 32 = 0. Calculate x.
-4, -1, -4/89
Factor 3610*p**3 + 3202222*p**2 + 674128*p/5 + 7096/5.
2*(p + 887)*(95*p + 2)**2/5
Factor y**3/2 + 211*y**2/2 + 823*y/2 - 1035/2.
(y - 1)*(y + 5)*(y + 207)/2
Let -3*t**4 + 81*t**3 - 453*t**2 + 675*t - 300 = 0. Calculate t.
1, 5, 20
Factor -5*i**3 - 187240*i**2 - 748855*i + 936100.
-5*(i - 1)*(i + 5)*(i + 37444)
Solve v**2/5 - 272*v/5 + 3584 = 0 for v.
112, 160
Factor -2*g**2/5 - 1034828*g/5 - 133858623698/5.
-2*(g + 258707)**2/5
Find x, given that -x**4 + 708*x**3 + 48384*x**2 + 790528*x = 0.
-32, 0, 772
Find d, given that -2*d**4 + 387*d**3 - 18705*d**2 + 9256*d = 0.
0, 1/2, 89, 104
Factor q**4/4 - 190*q**3 - 8457*q**2/4 - 4635*q + 6939.
(q - 771)*(q - 1)*(q + 6)**2/4
Factor -2*n**2 - 726*n + 2196.
-2*(n - 3)*(n + 366)
Let t**4/10 - 91*t**3/5 - 1308*t**2 - 133637*t/5 - 348245/2 = 0. What is t?
-25, -17, 241
Solve -5*r**4 + 270*r**3 - 3945*r**2 + 13600*r = 0 for r.
0, 5, 17, 32
Factor q**2/3 + 2203*q/3 - 281204/3.
(q - 121)*(q + 2324)/3
Let -2*a**2/13 + 5366*a/13 + 3312 = 0. What is a?
-8, 2691
Determine s so that s**2 - 272*s - 5220 = 0.
-18, 290
Suppose -2*y**4 + 156*y**3 + 2496*y**2 + 7360*y = 0. Calculate y.
-10, -4, 0, 92
Factor -k**3 + 1178*k**2 + 4725*k + 3546.
-(k - 1182)*(k + 1)*(k + 3)
Solve -y**2 - 261244*y - 17062106884 = 0.
-130622
Let d**3 - 1735*d**2 - 9*d + 15615 = 0. Calculate d.
-3, 3, 1735
Factor x**2/4 + 74613*x/4.
x*(x + 74613)/4
Determine n so that -2*n**4/7 - 46*n**3/7 + 52*n**2/7 + 96*n/7 = 0.
-24, -1, 0, 2
Suppose x**2/6 + 217105*x/3 + 47134581025/6 = 0. What is x?
-217105
Factor -4*v**3 - 1008*v**2 - 14004*v + 51192.
-4*(v - 3)*(v + 18)*(v + 237)
Factor 5*m**2 + 3965720*m + 786346755920.
5*(m + 396572)**2
Find m such that -4*m**4 - 2704*m**3 - 536896*m**2 - 25136064*m + 170733888 = 0.
-302, -78, 6
Let 2*v**2/5 - 3024*v/5 + 12064/5 = 0. What is v?
4, 1508
Factor -4*d**3/9 - 18740*d**2/9 - 105808*d/3.
-4*d*(d + 17)*(d + 4668)/9
Solve -o**2/10 - 2217*o/10 + 135314/5 = 0 for o.
-2333, 116
Determine a so that -4*a**4/3 + 374*a**3/3 - 1970*a**2/3 + 3004*a/3 - 352 = 0.
1/2, 2, 3, 88
Solve 5*k**5/2 + 6163*k**4/2 + 34339*k**3/2 - 20887*k**2/2 - 17172*k + 7362 = 0 for k.
-1227, -6, -1, 2/5, 1
Find d, given that 500*d**4 - 23800*d**3 + 363945*d**2 - 1830605*d + 1489960 = 0.
1, 8, 193/10
Factor 7*l**3 - 7873*l**2 + 13472*l + 4492.
(l - 1123)*(l - 2)*(7*l + 2)
Factor -107*o**3/6 - 163*o**2/3 + 1055*o/6 + 25/3.
-(o - 2)*(o + 5)*(107*o + 5)/6
Let -5*v**4 - 805*v**3 - 6075*v*