2282*k**2/3 + 15680*k/3 + 2744/3 = 0.
-7/41, 14
Suppose -2*u**4/5 - 3382*u**3/5 - 1263254*u**2/5 + 28962846*u + 146074104/5 = 0. Calculate u.
-891, -1, 92
Factor j**3/6 - 610*j**2/3 + 378125*j/6 - 1830125/3.
(j - 605)**2*(j - 10)/6
Find d such that -1573*d**5/4 - 29931*d**4/4 - 805*d**3/4 + 591*d**2/4 + 19*d/2 = 0.
-19, -1/11, 0, 2/13
Find t, given that -3*t**5 - 69*t**4 + 390*t**3 + 1770*t**2 - 387*t - 1701 = 0.
-27, -3, -1, 1, 7
Find s, given that 2*s**2/3 - 1796*s/3 - 116930 = 0.
-165, 1063
Factor 2*c**3/15 - 678*c**2/5 + 28952*c/3.
2*c*(c - 940)*(c - 77)/15
Solve -h**5 - 25*h**4 + 76*h**3 + 2572*h**2 + 3408*h - 17280 = 0 for h.
-24, -9, -4, 2, 10
Factor -3*d**2/2 + 510*d + 3087/2.
-3*(d - 343)*(d + 3)/2
Find r such that 2*r**2/5 - 884*r/5 + 3504/5 = 0.
4, 438
Solve q**5/2 - 72*q**4 + 5183*q**3/2 + 72*q**2 - 2592*q = 0 for q.
-1, 0, 1, 72
Determine f, given that -5*f**5 - 415*f**4 - 1450*f**3 + 10570*f**2 + 22575*f - 88875 = 0.
-79, -5, 3
Factor a**2/7 + 1341*a/7 - 16236/7.
(a - 12)*(a + 1353)/7
What is p in -4*p**4 + 13592*p**3 - 11505556*p**2 - 69400752*p - 104284944 = 0?
-3, 1702
Suppose -2*n**4/11 + 530*n**3/11 - 30796*n**2/11 - 2848*n = 0. What is n?
-1, 0, 88, 178
Factor -o**3/5 + 282*o**2/5 + o/5 - 282/5.
-(o - 282)*(o - 1)*(o + 1)/5
Solve 3*b**2/5 + 1089*b - 98982/5 = 0 for b.
-1833, 18
Factor 4*u**2 + 16356*u - 65488.
4*(u - 4)*(u + 4093)
Factor -2*m**3 - 4636*m**2 - 9258*m + 13896.
-2*(m - 1)*(m + 3)*(m + 2316)
Let 2*z**3/3 - 554*z**2/3 - 51900*z = 0. Calculate z.
-173, 0, 450
Factor 5*g**3/3 - 434*g**2/3 + 9589*g/3 - 7396/3.
(g - 43)**2*(5*g - 4)/3
Let 5*c**4 + 715*c**3 + 1345*c**2 - 9115*c + 7050 = 0. What is c?
-141, -5, 1, 2
Let -3*c**3 + 50148*c**2 - 209518335*c - 419237286 = 0. What is c?
-2, 8359
Factor 3*q**4/7 + 36*q**3/7 - 660*q**2/7.
3*q**2*(q - 10)*(q + 22)/7
Suppose -5*z**4 + 4725*z**3 + 72090*z**2 - 86240*z - 153600 = 0. What is z?
-16, -1, 2, 960
Suppose 6*q**3/7 + 1487*q**2/7 + 2711*q/7 + 1230/7 = 0. Calculate q.
-246, -1, -5/6
Factor 2*o**2/7 + 20202*o.
2*o*(o + 70707)/7
Factor 35*b**3 - 990*b**2 - 24360*b + 7040.
5*(b - 44)*(b + 16)*(7*b - 2)
Solve t**4/2 - 8*t**3 + 53*t**2/2 + 119*t - 588 = 0 for t.
-4, 6, 7
Find i such that -5*i**5 + 1340*i**4 - 118805*i**3 + 3403350*i**2 + 7168500*i + 3645000 = 0.
-1, 90
Find z such that 18*z**4 + 230*z**3 + 650*z**2 + 330*z - 108 = 0.
-9, -3, -1, 2/9
Determine i, given that 5*i**2 + 99840*i + 498401280 = 0.
-9984
Let 2*r**2/7 - 44888*r/7 + 251866568/7 = 0. What is r?
11222
Factor 2*o**2/13 + 140*o - 5478/13.
2*(o - 3)*(o + 913)/13
Solve -i**4/4 + 87*i**3/4 + 3841*i**2/4 - 3927*i/4 = 0.
-33, 0, 1, 119
Factor 5*c**2 - 31020*c + 247840.
5*(c - 6196)*(c - 8)
Let -14*d**3/9 + 148*d**2/9 - 32*d = 0. What is d?
0, 18/7, 8
Let -2*f**2/5 - 7330*f + 73308/5 = 0. What is f?
-18327, 2
Factor s**3/2 - 2963*s**2/2 + 2208115*s/2 - 19633761/2.
(s - 1477)**2*(s - 9)/2
Factor 3*x**4/5 + 294*x**3/5 - 62457*x**2/5 - 682668*x + 80875260.
3*(x - 86)**2*(x + 135)**2/5
Let -w**5 + 58*w**4 - 1221*w**3 + 11020*w**2 - 36100*w = 0. Calculate w.
0, 10, 19
What is c in -c**4/6 - 31*c**3 + 2143*c**2/6 - 794*c - 1182 = 0?
-197, -1, 6
Find p such that 3*p**3 - 1125*p**2 + 82500*p = 0.
0, 100, 275
Factor c**3/6 - 119*c**2/3 - 328*c.
c*(c - 246)*(c + 8)/6
Factor -u**3/4 + 349*u**2/2 + 19633*u/4 - 21025/2.
-(u - 725)*(u - 2)*(u + 29)/4
Factor -5*m**3 - 2915*m**2 + 23560*m - 47280.
-5*(m - 4)**2*(m + 591)
Solve -9*k**4 + 157*k**3 - 749*k**2 + 1283*k - 682 = 0.
1, 2, 31/9, 11
Determine v so that v**5/4 + 3*v**4/4 - 299*v**3/4 + 2373*v**2/4 - 2695*v/2 = 0.
-22, 0, 5, 7
Factor -2*p**2 - 2154*p - 19224.
-2*(p + 9)*(p + 1068)
Factor 3*b**3 - 12822*b**2.
3*b**2*(b - 4274)
Factor 2590*q**3 - 5947*q**2 + 1531*q + 6.
(q - 2)*(10*q - 3)*(259*q + 1)
Determine i so that -2*i**5/9 + 20*i**4/9 - 40*i**3/9 - 20*i**2/9 + 14*i/3 = 0.
-1, 0, 1, 3, 7
What is r in 4*r**2 - 232*r - 3692 = 0?
-13, 71
Factor -5*g**5/2 - 5125*g**4/2.
-5*g**4*(g + 1025)/2
Suppose 3*d**3/5 + 369*d**2/5 + 2997*d + 201243/5 = 0. What is d?
-49, -37
Determine x so that x**2 - 8453*x + 294630 = 0.
35, 8418
Find m such that m**4 + 1387*m**3 + 27440*m**2 + 136700*m = 0.
-1367, -10, 0
Suppose -j**3/2 + 133*j**2/2 - 65*j - 132 = 0. What is j?
-1, 2, 132
Solve 2*t**2/9 - 104*t/3 - 314/9 = 0 for t.
-1, 157
Factor l**2 - 1059*l - 5320.
(l - 1064)*(l + 5)
Solve h**3 + 542*h**2 + 1080*h = 0 for h.
-540, -2, 0
Find f such that -4*f**2 + 26712*f + 240732 = 0.
-9, 6687
Suppose 22*l**3/5 - 969*l**2/5 + 10692*l/5 - 484/5 = 0. Calculate l.
1/22, 22
Factor 4*n**2 - 139624*n + 139620.
4*(n - 34905)*(n - 1)
Determine h, given that -3*h**2/2 - 795*h/2 - 12075 = 0.
-230, -35
Suppose 4*w**5 - 8*w**4 - 84*w**3 + 152*w**2 + 320*w - 384 = 0. What is w?
-4, -2, 1, 3, 4
Find y, given that -3*y**5/7 + 24408*y**4/7 - 49719051*y**3/7 + 297728754*y**2/7 - 595067220*y/7 + 396581400/7 = 0.
2, 4065
Find k such that -2*k**4/5 - 82*k**3/5 - 706*k**2/5 + 2722*k/5 - 1932/5 = 0.
-23, -21, 1, 2
Let -5*y**5 + 153032*y**4 - 520272*y**3 + 642674*y**2 - 336635*y + 61206 = 0. Calculate y.
2/5, 1, 30603
What is f in -f**5/4 + 155*f**4/2 - 1059*f**3/2 - 233*f**2 + 6983*f/4 - 2121/2 = 0?
-2, 1, 7, 303
Suppose 3*r**3/4 + 1011*r**2/4 + 3981*r/4 - 4995/4 = 0. Calculate r.
-333, -5, 1
Solve 10*w**4/9 - 18086*w**3/9 + 917196*w**2 - 7732800*w - 3240000 = 0.
-2/5, 9, 900
Suppose -4*q**2 - 1272*q - 63488 = 0. What is q?
-256, -62
Factor 3*x**2/2 + 2793*x - 233040.
3*(x - 80)*(x + 1942)/2
Factor -h**2/3 + 349*h/3 - 2398.
-(h - 327)*(h - 22)/3
Factor 2*n**3 - 2174*n**2 + 689920*n - 51381400.
2*(n - 490)**2*(n - 107)
Factor -2*h**3 + 4*h**2 + 322*h - 1764.
-2*(h - 9)*(h - 7)*(h + 14)
Let 3*z**5 - 546*z**4 + 11445*z**3 - 10902*z**2 = 0. What is z?
0, 1, 23, 158
Factor -z**3/3 - 379*z**2 + 27889*z/3 + 9675.
-(z - 25)*(z + 1)*(z + 1161)/3
Determine y, given that 2*y**4/7 - 18*y**3 + 110*y**2 + 6750*y/7 - 5500 = 0.
-7, 5, 10, 55
Suppose -36*c**5 - 2836*c**4 + 19460*c**3 + 34084*c**2 - 137024*c + 28560 = 0. Calculate c.
-85, -3, 2/9, 2, 7
Factor 3*t**3 - 29499*t**2 + 176901*t - 147405.
3*(t - 9827)*(t - 5)*(t - 1)
Let i**3 - 282*i**2 + 827*i + 2790 = 0. What is i?
-2, 5, 279
Factor -q**3/3 - 2534*q**2/3 - 2533*q/3.
-q*(q + 1)*(q + 2533)/3
Determine b, given that -25*b**5/6 - 235*b**4/2 + 5663*b**3/3 - 9358*b**2/3 + 1620*b - 800/3 = 0.
-40, 2/5, 1, 10
Let -2*b**5/13 + 10*b**4/13 + 210*b**3/13 + 110*b**2/13 - 1600*b/13 - 168 = 0. Calculate b.
-7, -2, 3, 13
Factor 2*v**5/3 - 972*v**4 - 5848*v**3 - 35120*v**2/3 - 7808*v.
2*v*(v - 1464)*(v + 2)**3/3
Let 2*x**5 + 910*x**4 + 3608*x**3 = 0. Calculate x.
-451, -4, 0
Let -8*o**4/5 + 1126*o**3/5 - 9046*o**2/5 - 25564*o/5 - 5808/5 = 0. What is o?
-2, -1/4, 11, 132
Solve -2*p**2/3 - 31150*p/3 - 311300/3 = 0 for p.
-15565, -10
Solve 417*w**5 + 33783*w**4 + 192723*w**3 + 349293*w**2 + 192636*w + 2700 = 0.
-75, -3, -2, -1, -2/139
Let 5*p**5 + 65*p**4 - 240*p**3 + 20*p**2 + 320*p = 0. Calculate p.
-16, -1, 0, 2
Solve -10*f**4 + 5*f**3 + 15*f**2 = 0.
-1, 0, 3/2
Determine f, given that -2*f**4/5 + 72*f**3/5 + 24*f**2/5 - 896*f/5 + 1152/5 = 0.
-4, 2, 36
Solve -s**2/8 - 329*s/8 + 34675/4 = 0 for s.
-475, 146
Solve -m**4 + 15*m**3 + 193*m**2 - 3243*m + 9180 = 0 for m.
-15, 4, 9, 17
Suppose a**2/5 - 36277*a/5 + 145092/5 = 0. Calculate a.
4, 36273
What is t in -2*t**3 - 834*t**2 + 41538*t - 489854 = 0?
-463, 23
What is w in -2*w**2 + 43928*w - 241208648 = 0?
10982
Factor 4*a**4 + 612*a**3 + 6912*a**2 + 20304*a.
4*a*(a + 6)**2*(a + 141)
Let m**5/3 - 724*m**4/3 + 1195*m**3 + 7270*m**2/3 - 57616*m/3 + 23008 = 0. Calculate m.
-4, 2, 3, 4, 719
Factor 3*s**2/2 + 100083*s/2 - 150138.
3*(s - 3)*(s + 33364)/2
Let -3*u**3/2 + 72*u**2 + 1155*u/2 = 0. What is u?
-7, 0, 55
Solve 12*b**3 + 453*b**2/2 + 729*b + 945/2 = 0.
-15, -3, -7/8
Factor g**4/2 + 4030*g**3 + 10857987*g**2 + 9861254334*g + 442227735297/2.
(g + 23)*(g + 2679)**3/2
Find o such that 9804*o**5/5 - 4898*o**4/5 - 14708*o**3/5 + 4896*o**2/5 + 4904*o/5 + 2/5 = 0.
-1, -1/2, -1/2451, 1
Find l, given that 2*l**2/7 - 7018*l/7 - 56272/7 = 0.
-8, 3517
Factor 2*d**3/9 + 5788*d**2/9 - 1930*d/3.
2*d*(d - 1)*(d + 2895)/9
Solve -a**4/6 + 665*a**3/6 - 2481*a**2 + 12816*a + 15408 = 0 for a.
-1, 12, 642
Factor -4*l**2 - 75872*l + 75876.
-4*(l - 1)*(l + 1