 2)
Factor 3*v**2 + 10461*v - 20934.
3*(v - 2)*(v + 3489)
Find i such that -59*i**2/5 - 253*i/5 + 42 = 0.
-5, 42/59
Determine i so that -5*i**5 - 985*i**4 - 7595*i**3 - 6615*i**2 = 0.
-189, -7, -1, 0
Factor -25*p**5 + 53380*p**4 + 42716*p**3 + 8544*p**2.
-p**2*(p - 2136)*(5*p + 2)**2
Find a, given that -82*a**4/15 + 1252*a**3/5 - 10006*a**2/15 + 1652*a/5 + 1376/15 = 0.
-8/41, 1, 2, 43
Factor 3*g**2 + 1353762*g + 152722629387.
3*(g + 225627)**2
Find f such that -65*f**3 - 430355*f**2 + 927200*f - 132460 = 0.
-6623, 2/13, 2
Factor o**2/2 - 97184*o + 4722364928.
(o - 97184)**2/2
Determine q so that -5*q**2 - 1550*q - 34320 = 0.
-286, -24
Solve -h**3/6 - 3*h**2 + 145*h/2 - 208/3 = 0 for h.
-32, 1, 13
Find i, given that 3*i**2/8 + 38511*i/4 + 494365707/8 = 0.
-12837
Factor 2*o**2/7 + 61032*o/7 + 465613128/7.
2*(o + 15258)**2/7
Factor -w**3/3 - 991*w**2 - 5942*w/3.
-w*(w + 2)*(w + 2971)/3
Solve -4*j**3 + 3172*j**2 + 518192*j = 0 for j.
-139, 0, 932
Find i, given that 4*i**4/5 - 608*i**3/5 - 5056*i**2/5 - 2048*i = 0.
-4, 0, 160
Suppose -22*z**3/3 - 9992*z**2 - 3406362*z - 1855044 = 0. Calculate z.
-681, -6/11
Factor -3*l**4 + 61968*l**3 - 322102728*l**2 + 21688552128*l - 367491600048.
-3*(l - 10294)**2*(l - 34)**2
What is g in 9*g**3/2 + 5493*g**2/4 + 355803*g/4 + 14787 = 0?
-212, -93, -1/6
Factor -4*f**3 + 1040*f**2 + 101116*f - 206360.
-4*(f - 335)*(f - 2)*(f + 77)
What is u in -u**2/4 - 25*u - 2475/4 = 0?
-55, -45
Factor -5*l**3 - 1625*l**2 - 18835*l - 17215.
-5*(l + 1)*(l + 11)*(l + 313)
Suppose 2*m**2 + 464*m + 2270 = 0. What is m?
-227, -5
Factor h**2/10 - 83*h/5 - 167/10.
(h - 167)*(h + 1)/10
Find o such that -20*o**5 - 1725*o**4 + 41230*o**3 - 67665*o**2 + 18640*o + 9540 = 0.
-106, -1/4, 1, 18
Factor -3*h**3 + 24651*h**2 - 98568*h + 98556.
-3*(h - 8213)*(h - 2)**2
Suppose -3*v**2 + 88698*v = 0. What is v?
0, 29566
Suppose -19*h**4 + 473*h**3 - 368*h**2 - 956*h - 96 = 0. What is h?
-1, -2/19, 2, 24
Factor 10810*g**3 - 21616*g**2 - 8*g.
2*g*(g - 2)*(5405*g + 2)
Find h, given that -4*h**4/5 + 350752*h**3/5 - 7688834584*h**2/5 - 3075744288*h - 1537907220 = 0.
-1, 43845
Factor 4*o**3 - 137064*o**2 - 16*o + 548256.
4*(o - 34266)*(o - 2)*(o + 2)
Let 7*u**4/3 - 674*u**3/3 + 1415*u**2 + 26254*u/3 - 7832/3 = 0. Calculate u.
-4, 2/7, 11, 89
What is g in -5*g**3 - 3859*g**2 + 125237*g - 24893 = 0?
-803, 1/5, 31
Factor -m**2/9 - 2849*m/9 + 1268.
-(m - 4)*(m + 2853)/9
Factor 2*u**2/9 + 7852*u/9 - 7858/3.
2*(u - 3)*(u + 3929)/9
Factor -3*i**3 - 297*i**2 - 3822*i - 3528.
-3*(i + 1)*(i + 14)*(i + 84)
Find p such that 2*p**3 - 3532*p**2 - 49742*p - 174440 = 0.
-7, 1780
What is m in 216*m**3 - 3*m**2 = 0?
0, 1/72
Factor -b**2/5 - 1811*b - 54294/5.
-(b + 6)*(b + 9049)/5
Factor -2*o**2 - 3234*o - 16120.
-2*(o + 5)*(o + 1612)
Factor -2*u**4/5 + 84*u**3/5 + 1166*u**2/5.
-2*u**2*(u - 53)*(u + 11)/5
Determine m so that -27*m**4 + 1055079*m**3 + 1055097*m**2 + 351701*m + 39078 = 0.
-1/3, 39078
Factor 2*o**3 - 6*o**2/5 - 108*o/5 - 112/5.
2*(o - 4)*(o + 2)*(5*o + 7)/5
Factor -2*g**2/7 + 2922*g/7 - 121948/7.
-2*(g - 1418)*(g - 43)/7
Let 2*t**5 + 120*t**4 + 430*t**3 - 1040*t**2 - 1752*t + 2240 = 0. Calculate t.
-56, -5, -2, 1, 2
Factor 5*r**3/6 - 735*r**2/2.
5*r**2*(r - 441)/6
Suppose 5*w**5 - 3200*w**4 + 498960*w**3 + 4199040*w**2 = 0. What is w?
-8, 0, 324
Let c**5 - 10*c**4 + 19*c**3 + 26*c**2 - 92*c + 56 = 0. Calculate c.
-2, 1, 2, 7
Solve 6*a**5 - 10*a**4 - 146*a**3 + 434*a**2 - 12*a - 576 = 0 for a.
-16/3, -1, 2, 3
Suppose -4*z**5/3 + 104*z**4/3 + 1640*z**3/3 - 16304*z**2/3 - 107492*z/3 + 806344/3 = 0. Calculate z.
-11, 7, 34
Factor 2*q**2 + 210*q + 4500.
2*(q + 30)*(q + 75)
Solve -d**3/8 + 547*d**2/2 - 1185821*d/8 - 6039005/4 = 0 for d.
-10, 1099
Solve -2360*b**2 + 14105*b + 330 = 0 for b.
-11/472, 6
Find a such that 27*a**5 + 2868*a**4 + 52557*a**3 + 183096*a**2 + 160596*a + 27216 = 0.
-84, -18, -3, -1, -2/9
Find s such that 5*s**5/2 - 287*s**4/2 - 3657*s**3 - 8837*s**2 - 14579*s/2 - 3927/2 = 0.
-17, -1, -3/5, 77
Find w such that 3*w**5 - 87*w**4 - 3303*w**3 + 70983*w**2 + 823284*w = 0.
-28, -9, 0, 33
Solve 4*b**3/7 - 408*b**2/7 + 13872*b/7 - 157216/7 = 0 for b.
34
Determine a, given that -4*a**3 + 5984*a**2 + 90516*a + 217584 = 0.
-12, -3, 1511
Factor -2*j**2/7 - 80*j - 13662/7.
-2*(j + 27)*(j + 253)/7
What is o in o**5 - 22*o**4 + 181*o**3 - 688*o**2 + 1204*o - 784 = 0?
2, 4, 7
Factor -3*o**4/2 + 3114*o**3 - 940725*o**2 + 101973234*o - 7518936267/2.
-3*(o - 1737)*(o - 113)**3/2
Solve -2*w**4/5 - 502*w**3/5 - 7780*w**2 - 194880*w - 187200 = 0 for w.
-130, -60, -1
Find x, given that 2*x**2/5 + 13708*x + 117443290 = 0.
-17135
Factor 2*m**2/3 - 868*m/3 + 94178/3.
2*(m - 217)**2/3
Suppose v**5/2 - 51*v**4/2 + 385*v**3/2 + 4047*v**2/2 + 1805*v = 0. What is v?
-5, -1, 0, 19, 38
Find z such that -2*z**2 + 20672*z - 41336 = 0.
2, 10334
Let -2*l**5/7 + 14*l**4 + 24*l**3/7 - 1208*l**2/7 + 224*l = 0. Calculate l.
-4, 0, 2, 49
Let -q**2/2 - 33*q + 2755/2 = 0. Calculate q.
-95, 29
Let -b**4 + 2408*b**3 - 2407*b**2 = 0. Calculate b.
0, 1, 2407
Determine z, given that 3*z**5 + 207*z**4 - 3543*z**3 + 19413*z**2 - 41280*z + 25200 = 0.
-84, 1, 4, 5
Factor u**3/4 + 340063*u**2/4 - 85016*u.
u*(u - 1)*(u + 340064)/4
Solve -v**3/4 - 311*v**2/4 - 32155*v/4 - 1104933/4 = 0 for v.
-109, -93
Determine a, given that 2*a**4/19 + 1862680*a**3/19 + 433698960476*a**2/19 + 867392332920*a/19 + 433695235122/19 = 0.
-465669, -1
Factor 2*z**3/7 - 178*z**2/7 + 544*z - 3416.
2*(z - 61)*(z - 14)**2/7
Factor -5*g**2 + 8130*g + 24435.
-5*(g - 1629)*(g + 3)
What is x in -x**4/4 - 5*x**3/4 + 14*x**2 + 15*x = 0?
-10, -1, 0, 6
Suppose x**5/11 + 29*x**4/11 + 240*x**3/11 + 436*x**2/11 - 1312*x/11 - 1536/11 = 0. Calculate x.
-16, -8, -6, -1, 2
Let -3*q**5 + 567*q**4 + 615*q**3 - 8619*q**2 + 13140*q - 5700 = 0. Calculate q.
-5, 1, 2, 190
Let 5*x**2 - 662230*x - 662235 = 0. Calculate x.
-1, 132447
Solve 14*r**2/3 - 56536*r/9 + 5384/9 = 0 for r.
2/21, 1346
Suppose 276*z**5 + 2487*z**4 + 7203*z**3 + 6702*z**2 + 72*z = 0. Calculate z.
-4, -3, -2, -1/92, 0
Let -h**3/4 - 3939*h**2 + 220731*h/4 - 386365/2 = 0. What is h?
-15770, 7
Determine a, given that 2*a**5/5 - 294*a**4/5 + 11514*a**3/5 + 13342*a**2/5 - 4660788*a/5 + 13574736/5 = 0.
-18, 3, 28, 67
Factor -5*n**3 - 2235*n**2 + 22745*n - 47985.
-5*(n - 7)*(n - 3)*(n + 457)
Factor -3*w**5 - 36*w**4 - 81*w**3.
-3*w**3*(w + 3)*(w + 9)
Suppose 315*d**5 + 1899*d**4/5 - 7087*d**3/5 + 4029*d**2/5 - 428*d/5 + 12/5 = 0. What is d?
-3, 1/21, 2/25, 2/3, 1
Suppose -3*g**2 - 36459*g - 36456 = 0. Calculate g.
-12152, -1
Determine y so that 4*y**3 + 779692*y**2 + 37995365772*y + 37994586084 = 0.
-97461, -1
Factor 2*k**2 + 55148*k + 55146.
2*(k + 1)*(k + 27573)
Factor 3*r**2/5 + 1971*r/5 + 3882.
3*(r + 10)*(r + 647)/5
Factor 2*a**3/3 - 1322*a**2/3 + 187790*a/3 - 2550562.
2*(a - 483)*(a - 89)**2/3
Solve 3*z**2 - 843*z - 3420 = 0.
-4, 285
Solve -4*h**3 + 3572*h**2 - 3569*h + 892 = 0.
1/2, 892
Factor 182*g**3/9 + 7279*g**2/9 + 72760*g/9 - 400/9.
(g + 20)**2*(182*g - 1)/9
Factor 4*q**2 - 17344*q.
4*q*(q - 4336)
Find s such that -5*s**5 - 850*s**4 + 220*s**3 + 38120*s**2 + 123040*s + 108800 = 0.
-170, -4, -2, 8
Let -4*y**3/5 + 1014*y**2/5 + 1534*y/5 - 204 = 0. What is y?
-2, 1/2, 255
Let -2*f**5/11 - 24*f**4/11 + 2186*f**3/11 - 2160*f**2/11 = 0. What is f?
-40, 0, 1, 27
Factor -3*i**2/5 + 594828*i/5 - 29485029132/5.
-3*(i - 99138)**2/5
Factor -i**2/2 + 189*i/2 - 1062.
-(i - 177)*(i - 12)/2
Solve 2*u**3 - 282*u**2 - 41634*u + 304570 = 0 for u.
-95, 7, 229
Determine t, given that -3*t**2/5 + 31953*t/5 + 31956/5 = 0.
-1, 10652
Factor -5*j**2 + 18777*j - 7510.
-(j - 3755)*(5*j - 2)
Solve -a**2/3 - 49892*a/3 + 16631 = 0 for a.
-49893, 1
Suppose 30*j**5 - 82*j**4 - 672*j**3 + 520*j**2 - 96*j = 0. Calculate j.
-4, 0, 1/3, 2/5, 6
Suppose 5*n**5 + 660*n**4 + 16240*n**3 + 95730*n**2 - 16245*n - 96390 = 0. What is n?
-102, -21, -9, -1, 1
Find i such that 3*i**2 + 405*i + 13632 = 0.
-71, -64
Determine m, given that m**4/4 + 47*m**3/2 + 2005*m**2/4 + 1950*m = 0.
-65, -24, -5, 0
Suppose 6*b**5/5 - 68*b**4/5 - 162*b**3/5 + 392*b**2/5 + 312*b/5 = 0. Calculate b.
-3, -2/3, 0, 2, 13
Factor 2*r**3/3 - 8126*r**2/3 + 18928*r.
2*r*(r - 4056)*(r - 7)/3
Suppose -27*f**2 + 5340*f - 9408 = 0. Calculate f.
1