 68)
Factor -12*b**2 - 4648*b + 3104.
-4*(b + 388)*(3*b - 2)
Factor -58*u**2/7 + 4096*u/7 - 360.
-2*(u - 70)*(29*u - 18)/7
Find r such that 11*r**2 - 2137*r - 2148 = 0.
-1, 2148/11
Suppose -2*k**4 + 84*k**3 + 938*k**2 - 1020*k = 0. What is k?
-10, 0, 1, 51
Solve 4*h**5 - 106*h**4/15 - 58*h**3/15 + 4*h**2 = 0.
-5/6, 0, 3/5, 2
Determine m so that -4*m**3 - 1168*m**2 + 3532*m - 2360 = 0.
-295, 1, 2
Determine b so that -b**5/2 + 6493*b**4 - 56220717*b**3/2 + 40591323052*b**2 - 80986003424*b - 121605443328 = 0.
-1, 3, 4328
Factor -3*v**2 - 39714*v - 1188720.
-3*(v + 30)*(v + 13208)
Suppose -3*k**5/2 - 27*k**4 - 18*k**3 + 444*k**2 - 576*k = 0. What is k?
-16, -6, 0, 2
Solve 5*k**5 + 150*k**4 + 1655*k**3 + 8070*k**2 + 16160*k + 9600 = 0 for k.
-10, -8, -3, -1
Factor -4*f**2 - 14592*f - 246908.
-4*(f + 17)*(f + 3631)
Determine y so that y**5/5 + 7*y**4/5 - 153*y**3/5 + 317*y**2/5 + 476*y/5 = 0.
-17, -1, 0, 4, 7
Suppose -5*h**2 + 22900*h = 0. What is h?
0, 4580
Solve u**4 - 10*u**3/3 - 20*u**2/9 + 10*u/3 + 11/9 = 0 for u.
-1, -1/3, 1, 11/3
Let -4*i**3/3 - 1168*i**2/3 - 5716*i/3 + 2296 = 0. Calculate i.
-287, -6, 1
Factor -3*p**2/5 - 1179*p/5 - 26568/5.
-3*(p + 24)*(p + 369)/5
Suppose -110*u**4/13 - 102*u**3/13 + 212*u**2/13 = 0. Calculate u.
-106/55, 0, 1
Factor -4*y**2 + 5604*y - 11192.
-4*(y - 1399)*(y - 2)
Find l, given that 2*l**2/7 + 1940*l + 13578/7 = 0.
-6789, -1
Factor 2*a**3 - 1656*a**2 - 204288*a - 5895680.
2*(a - 940)*(a + 56)**2
What is v in -3*v**5 + 51*v**4 - 255*v**3 + 477*v**2 - 270*v = 0?
0, 1, 3, 10
Let 52*v**4/5 - 848*v**3/5 + 1556*v**2/5 + 1784*v/5 - 672/5 = 0. What is v?
-1, 4/13, 3, 14
Factor -2*z**2/11 - 30034*z/11 - 30032/11.
-2*(z + 1)*(z + 15016)/11
Find q such that -6*q**5/11 + 2956*q**4/11 - 22294*q**3/11 - 7760*q**2/11 = 0.
-1/3, 0, 8, 485
Suppose -2*z**2/15 - 82*z/15 + 2944/15 = 0. What is z?
-64, 23
Factor -v**3/5 + 1301*v**2/5 + 5020*v - 5280.
-(v - 1320)*(v - 1)*(v + 20)/5
Let -5*j**4 - 225*j**3 + 250*j**2 + 900*j - 920 = 0. Calculate j.
-46, -2, 1, 2
Suppose -m**4/4 + 17535*m**3 + 70143*m**2 + 70144*m = 0. What is m?
-2, 0, 70144
Find c such that 2*c**2/5 - 28448*c + 505805440 = 0.
35560
Factor 5*m**3 + 4175*m**2 + 181695*m + 177525.
5*(m + 1)*(m + 45)*(m + 789)
Factor -5*o**3 - 6100*o**2 - 341185*o - 4886210.
-5*(o + 29)**2*(o + 1162)
Suppose -181*z**2/6 - 355*z/6 + 7/3 = 0. What is z?
-2, 7/181
Suppose 2*v**5/13 + 40*v**4/13 - 382*v**3/13 - 8252*v**2/13 + 1496*v/13 + 32368/13 = 0. Calculate v.
-17, -2, 2, 14
Factor x**4 + 16908*x**3 + 95004318*x**2 + 175760249500*x - 9213128583927.
(x - 51)*(x + 5653)**3
Factor 2*h**3 - 5298*h**2 + 15820*h + 148176.
2*(h - 2646)*(h - 7)*(h + 4)
Let 4*m**3/5 - 176*m**2/5 - 10608*m/5 = 0. Calculate m.
-34, 0, 78
Factor -864771649*d**2 + 1823234*d - 961.
-(29407*d - 31)**2
Factor -2*k**2/3 - 6770*k/3 - 94388/3.
-2*(k + 14)*(k + 3371)/3
What is j in 392*j**5/3 - 359240*j**4/3 - 565414*j**3/3 - 22688*j**2 + 40398*j - 5508 = 0?
-1, 3/14, 918
Factor 3*t**2 - 141*t - 3510.
3*(t - 65)*(t + 18)
Let -2*r**3/15 - 2946*r**2/5 - 70416*r/5 - 84384 = 0. What is r?
-4395, -12
Factor 153*b**3 + 4739*b**2 - 124*b.
b*(b + 31)*(153*b - 4)
Factor 7*t**2/4 - 59014*t + 16861.
(t - 33722)*(7*t - 2)/4
Determine y so that 4*y**4 - 86544*y**3 + 468029944*y**2 + 936319536*y + 468203044 = 0.
-1, 10819
Solve 2*h**2/13 - 135598*h/13 + 135596/13 = 0.
1, 67798
Factor -2*p**2/11 + 398*p/11 - 1560/11.
-2*(p - 195)*(p - 4)/11
Factor -5*a**5 - 140*a**4 + 160*a**3 + 410*a**2 - 715*a + 290.
-5*(a - 1)**3*(a + 2)*(a + 29)
Determine u so that -2*u**4/13 - 2038*u**3/13 - 54030*u**2/13 - 459514*u/13 - 1200320/13 = 0.
-992, -11, -5
Solve 11242*j**3 - 9220*j**2 - 2026*j + 4 = 0.
-2/11, 1/511, 1
Factor 49*z**2/2 - 3206*z + 104882.
(7*z - 458)**2/2
Factor 2*l**2/3 + 1501840*l/3 - 500614.
2*(l - 1)*(l + 750921)/3
Solve 14*r**4 + 1270*r**3 + 29246*r**2 + 19890*r - 8100 = 0.
-45, -1, 2/7
Factor -o**4/6 + 5781*o**3/2 - 17341*o**2/3.
-o**2*(o - 17341)*(o - 2)/6
Determine j, given that j**2 + 1327688*j + 440688856336 = 0.
-663844
Find k such that -6*k**4 - 43*k**3 + 41*k**2 + 8*k = 0.
-8, -1/6, 0, 1
Determine o so that 243*o**4 + 416286*o**3 + 178932423*o**2 + 553660380*o + 429842700 = 0.
-855, -14/9
Factor 3*a**2 + 20625*a + 20622.
3*(a + 1)*(a + 6874)
Solve 9*j**5/8 + 85*j**4/2 + 1445*j**3/8 + 425*j**2/4 - 33*j = 0 for j.
-33, -4, -1, 0, 2/9
Solve -2*w**2/9 - 616*w/9 + 490 = 0 for w.
-315, 7
Determine u so that -3*u**3 + 1587*u**2 - 213792*u + 1029660 = 0.
5, 262
Suppose v**2/2 - 22999*v/2 + 45990 = 0. What is v?
4, 22995
Solve -3*m**5 - 156*m**4 + 492*m**3 - 174*m**2 - 489*m + 330 = 0.
-55, -1, 1, 2
Find x, given that -2*x**5/15 - 3274*x**4/3 - 11168432*x**3/5 - 11162976*x**2/5 = 0.
-4092, -1, 0
Factor n**3 + 9775*n**2 + 58623*n + 87921.
(n + 3)**2*(n + 9769)
Find t such that 4*t**2/3 + 1844*t/3 = 0.
-461, 0
Solve -2*j**5/3 - 1018*j**4 + 3062*j**3/3 + 9166*j**2/3 - 1020*j - 6112/3 = 0 for j.
-1528, -1, 1, 2
Solve -3*o**4 + 77385*o**3 - 498920421*o**2 - 1497457809*o = 0.
-3, 0, 12899
Determine n so that 4*n**5 - 364*n**4 + 10756*n**3 - 99684*n**2 - 110808*n = 0.
-1, 0, 27, 38
Factor -2*s**2 + 1364*s.
-2*s*(s - 682)
Suppose -53*u**3 - 1381*u**2 - 9035*u - 507 = 0. Calculate u.
-13, -3/53
Let -a**4/3 + 614*a**3/3 - 38660*a**2 + 6270184*a/3 - 12081344/3 = 0. Calculate a.
2, 88, 262
Find i, given that -i**2/11 + 593*i/11 - 592/11 = 0.
1, 592
Find g, given that 2*g**4/5 + 16*g**3 + 624*g**2/5 + 576*g/5 - 864 = 0.
-30, -6, 2
Let -x**5 - 6209*x**4 - 86799*x**3 - 427595*x**2 - 867400*x - 619500 = 0. What is x?
-6195, -5, -2
Find g, given that -g**2/3 - 36928*g/3 - 12309 = 0.
-36927, -1
Solve 28*i**4/5 + 316*i**3 - 196*i**2 - 780*i - 1368/5 = 0.
-57, -1, -3/7, 2
Solve 11*h**5/3 - 493*h**4/3 + 2990*h**3/3 - 5380*h**2/3 + 2264*h/3 + 608/3 = 0 for h.
-2/11, 1, 2, 4, 38
Factor 3*k**3 + 94239*k**2 - 754056*k + 1508208.
3*(k - 4)**2*(k + 31421)
Suppose -4*p**4 + 1112*p**3 - 78388*p**2 + 153456*p - 76176 = 0. What is p?
1, 138
Factor w**2/4 - 1263*w/2 + 47633/4.
(w - 2507)*(w - 19)/4
Determine d, given that 4313929*d**2/2 - 803799*d + 149769/2 = 0.
387/2077
Factor 5*n**2 + 25900*n + 77655.
5*(n + 3)*(n + 5177)
Factor 4*z**2/5 - 1716*z/5 + 181016/5.
4*(z - 242)*(z - 187)/5
Determine f so that 34*f**3/3 - 3446*f**2/3 + 6790*f/3 - 1126 = 0.
1, 1689/17
Solve 2*n**2 + 33830*n + 67652 = 0.
-16913, -2
Find s, given that 2*s**3/23 - 39860*s**2/23 - 79726*s/23 - 39864/23 = 0.
-1, 19932
Factor -5*g**2 - 2780*g - 21920.
-5*(g + 8)*(g + 548)
Determine v so that -v**4 - 2017*v**3 - 2016*v**2 = 0.
-2016, -1, 0
Determine w so that 2*w**3/11 - 4*w**2 - 41744*w/11 + 15232 = 0.
-136, 4, 154
Suppose -2*i**2/7 + 486*i/7 - 27784/7 = 0. Calculate i.
92, 151
Find h, given that -2*h**2/7 - 189804*h/7 - 4503194802/7 = 0.
-47451
Determine d, given that 3*d**5 + 3*d**4 - 1503*d**3 + 4197*d**2 + 12900*d + 7200 = 0.
-24, -1, 5, 20
Factor 2*q**4 + 14800*q**3 + 29594*q**2 + 14796*q.
2*q*(q + 1)**2*(q + 7398)
Solve -2*f**3/3 + 128*f**2/3 + 12536*f/3 + 24544/3 = 0 for f.
-52, -2, 118
Suppose -q**4 - 246*q**3 + 1251*q**2 - 1004*q = 0. Calculate q.
-251, 0, 1, 4
Solve -5*u**4 + 1190*u**3 - 86160*u**2 + 2122490*u - 16734155 = 0 for u.
19, 73, 127
Determine n, given that 2*n**5/7 - 62*n**4/7 + 26*n**3/7 + 990*n**2/7 + 900*n/7 = 0.
-3, -1, 0, 5, 30
Factor -48*b**3 - 1045416*b**2 + 522717*b - 65340.
-3*(b + 21780)*(4*b - 1)**2
Determine b so that -3*b**5 + 15*b**4 + 9*b**3 - 87*b**2 - 6*b + 72 = 0.
-2, -1, 1, 3, 4
Factor -2*r**3/5 + 8594*r**2 - 230824096*r/5 + 230781128/5.
-2*(r - 10742)**2*(r - 1)/5
Let i**2/5 + 889*i/5 - 6272/5 = 0. What is i?
-896, 7
Let 2*x**4/5 - 1864*x**3/5 - 9374*x**2/5 + 740*x + 44976/5 = 0. Calculate x.
-4, -3, 2, 937
Solve 2*p**2/7 - 678*p/7 + 3996/7 = 0 for p.
6, 333
Solve 3*y**2/2 - 368769*y/2 + 553140 = 0.
3, 122920
Find j such that 4*j**3/5 + 59304*j**2/5 - 355932*j/5 + 533952/5 = 0.
-14832, 3
Determine w, given that -w**4/7 - 10*w**3 + 244*w**2/7 + 1846*w/7 + 219 = 0.
-73, -3, -1, 7
Find o, given that -42*o**5/11 + 512*o**4 - 32*o**3/11 - 66912*o**2/11 - 83680*o/11 + 8576/11 = 0.
-2, 2/21, 4, 134
Solve -2*p**5 + 19752*p**4 - 48846600*p**3 + 389509696*p**2 = 0 for p.
0, 8, 4934
Factor 4*k**2 + 2668*k + 412128.
4*(k + 243)*(k + 424)
Solve 36*b**4 + 99768