r 5*l**3 + 905*l**2 - 2750*l + 1840.
5*(l - 2)*(l - 1)*(l + 184)
Find m such that 14*m**4/3 + 1525*m**3/3 - 79405*m**2/3 + 76480*m - 5328 = 0.
-148, 1/14, 3, 36
Factor 2*r**4/3 + 286*r**3 + 30530*r**2 - 92450*r/3.
2*r*(r - 1)*(r + 215)**2/3
Factor -p**2 - 2388*p - 49707.
-(p + 21)*(p + 2367)
Solve -5*s**3 + 220*s**2 + 235*s - 450 = 0 for s.
-2, 1, 45
Let 6*m**4/11 + 1371950*m**3/11 + 104568504600*m**2/11 + 2656620950436000*m/11 - 4427992058480000/11 = 0. What is m?
-76220, 5/3
Let -2*q**2/13 - 19460*q/13 - 19458/13 = 0. What is q?
-9729, -1
Factor 4*y**4 - 1684*y**3 + 17936*y**2 + 42640*y.
4*y*(y - 410)*(y - 13)*(y + 2)
Find m, given that 4*m**4/9 + 28756*m**3/9 + 172364*m**2/9 - 201124*m/9 = 0.
-7183, -7, 0, 1
Let -2*h**2 - 850792*h - 850790 = 0. Calculate h.
-425395, -1
Factor -3*y**2/2 + 471*y + 2853/2.
-3*(y - 317)*(y + 3)/2
Solve 2*s**3/9 - 34678*s**2/9 = 0.
0, 17339
Determine n, given that -4*n**4 - 4204*n**3 + 55136*n**2 - 204144*n + 153216 = 0.
-1064, 1, 6
Factor a**4/3 + 64*a**3 + 2639*a**2/3 - 944*a.
a*(a - 1)*(a + 16)*(a + 177)/3
Factor 2*w**2/5 + 2534*w/5 - 261696/5.
2*(w - 96)*(w + 1363)/5
Factor -4*y**2 - 256924*y.
-4*y*(y + 64231)
Let 3*m**3/2 + 405*m**2/2 + 2952*m + 11424 = 0. What is m?
-119, -8
Factor -v**3/4 - 235*v**2/2 + 4347*v/4 + 4311.
-(v - 12)*(v + 3)*(v + 479)/4
Let -385*t**5 - 111*t**4 + 6952*t**3/7 - 4184*t**2/7 + 720*t/7 - 16/7 = 0. What is t?
-2, 2/77, 2/7, 2/5, 1
Factor -2*a**2 + 490*a + 26100.
-2*(a - 290)*(a + 45)
Determine m, given that -5*m**3 - 16010*m**2 + 128320*m - 256800 = 0.
-3210, 4
Suppose -19*u**5/4 + 135*u**4/2 + 381*u**3/4 - 536*u**2 - 747*u + 180 = 0. What is u?
-2, 4/19, 3, 15
Find k such that -k**2/4 - 76283*k + 305133/4 = 0.
-305133, 1
Find i, given that -i**3/4 + 108*i**2 - 641*i + 852 = 0.
2, 4, 426
Let z**5/4 + 6639*z**4/4 + 11035659*z**3/4 + 55012445*z**2/4 = 0. What is z?
-3317, -5, 0
Factor 3*r**4 - 153*r**3 - 2208*r**2 - 3780*r.
3*r*(r - 63)*(r + 2)*(r + 10)
Find g, given that -g**4/2 + 23*g**3/2 + 169*g**2 + 594*g + 612 = 0.
-6, -3, -2, 34
Factor 5*v**2 - 129955*v + 909440.
5*(v - 25984)*(v - 7)
Find v, given that -2768157*v**3 + 1581951*v**2 - 226056*v + 12 = 0.
1/18831, 2/7
Determine p so that 4*p**2/3 - 708928*p/3 + 31411181824/3 = 0.
88616
Let 662596*t**4/5 + 31483078*t**3/5 - 15438288*t**2/5 - 232722*t/5 - 864/5 = 0. Calculate t.
-48, -3/407, 1/2
Factor 4*p**4 - 27832*p**3 + 48441588*p**2 - 96799696*p + 48385936.
4*(p - 3478)**2*(p - 1)**2
Let 3*h**5 + 960*h**4 + 77724*h**3 + 143046*h**2 - 699759*h - 1365174 = 0. Calculate h.
-159, -3, -2, 3
Determine f, given that -2*f**2/7 + 3697896*f/7 - 1709304353352/7 = 0.
924474
Suppose 5*t**5 + 210*t**4 + 2665*t**3 + 5660*t**2 - 63360*t - 66560 = 0. What is t?
-16, -13, -1, 4
Factor 9*w**3 - 1731*w**2 - 54618*w - 35640.
3*(w - 220)*(w + 27)*(3*w + 2)
What is l in -3*l**4 - 117*l**3 + 390*l**2 + 504*l = 0?
-42, -1, 0, 4
Factor -4*f**4 - 132*f**3 + 2500*f**2 + 15300*f.
-4*f*(f - 17)*(f + 5)*(f + 45)
What is w in -w**5 + 228*w**4 - 11683*w**3 + 178368*w**2 - 166912*w = 0?
0, 1, 32, 163
Find h, given that -3*h**4 - 3384*h**3 - 1083414*h**2 - 70297488*h - 69217455 = 0.
-521, -85, -1
Let -2*w**5 - 326*w**4 + 61178*w**3 + 9996350*w**2 = 0. Calculate w.
-169, 0, 175
Factor -5*y**3 - 113830*y**2 - 647977260*y - 1295499240.
-5*(y + 2)*(y + 11382)**2
Factor -3*f**5 + 45374*f**4 - 171581780*f**3 + 114367688*f**2.
-f**2*(f - 7562)**2*(3*f - 2)
Determine n, given that 2*n**5 - 418*n**4 + 2858*n**3 - 6086*n**2 + 5260*n - 1616 = 0.
1, 4, 202
Factor -4*y**3 + 4720*y**2 - 1539008*y + 84084992.
-4*(y - 556)**2*(y - 68)
Find t such that 15*t**4 - 1225*t**3 - 18945*t**2 - 5355*t + 12350 = 0.
-13, -1, 2/3, 95
Factor 5*t**3 - 67985*t**2 + 231132000*t - 231064020.
5*(t - 6798)**2*(t - 1)
Determine g, given that 2*g**5/13 - 448*g**4/13 + 33562*g**3/13 - 851300*g**2/13 + 752832*g/13 + 1638144/13 = 0.
-1, 2, 72, 79
Solve 3*x**3 + 93*x**2 - 1230*x = 0 for x.
-41, 0, 10
Factor -6*l**3/7 - 1062*l**2/7 - 5184*l/7 - 4128/7.
-6*(l + 1)*(l + 4)*(l + 172)/7
Factor 5*j**3 + 9905*j**2 + 29670*j.
5*j*(j + 3)*(j + 1978)
Factor o**5/5 - 25663*o**4/5 + 43902549*o**3 - 125136885145*o**2 - 250449421550*o.
o*(o - 8555)**3*(o + 2)/5
What is u in 2*u**3/11 + 756*u**2/11 + 17280*u/11 - 11750400/11 = 0?
-240, 102
Determine f, given that 4*f**2 + 171724*f + 171720 = 0.
-42930, -1
Let 4*c**4 - 17312*c**3 - 382892*c**2 + 400200*c = 0. Calculate c.
-23, 0, 1, 4350
Let -2*t**5 + 62*t**4 - 420*t**3 - 820*t**2 + 2662*t - 1482 = 0. Calculate t.
-3, 1, 13, 19
Solve -5*l**5 + 240*l**4 + 1020*l**3 - 115600*l**2 = 0 for l.
-20, 0, 34
Let 98*v**5/11 - 2100*v**4/11 + 9654*v**3/11 - 2780*v**2/11 - 4152*v/11 - 720/11 = 0. Calculate v.
-2/7, 1, 6, 15
Let -52*i**3 - 614*i**2 - 1752*i + 360 = 0. Calculate i.
-6, 5/26
Solve -4*v**5 + 128*v**4 + 17608*v**3 - 672656*v**2 - 1397604*v - 707472 = 0.
-68, -1, 51
Suppose s**5/5 - 183*s**4/5 - 425*s**3 - 373*s**2 + 23184*s/5 - 19012/5 = 0. Calculate s.
-7, 1, 2, 194
Factor -2*h**4/3 - 2032*h**3 + 61360*h**2 - 1844800*h/3 + 2052000.
-2*(h - 10)**3*(h + 3078)/3
Solve r**4/4 - 141*r**3/4 + 401*r**2/4 + 1809*r/4 - 1035/2 = 0 for r.
-3, 1, 5, 138
Suppose -v**5/2 - 2193*v**4 - 4804857*v**3/2 + 4820218*v**2 + 7220454*v = 0. What is v?
-2194, -1, 0, 3
Solve -f**2/8 + 196*f - 76832 = 0.
784
Solve 5*g**2 - 95*g + 450 = 0.
9, 10
Factor -3*l**2 - 417*l + 7440.
-3*(l - 16)*(l + 155)
Factor 5*g**3/2 + 475675*g**2/4 + 1414137180*g - 707098320.
5*(g + 23784)**2*(2*g - 1)/4
Factor b**2/2 + 103217*b.
b*(b + 206434)/2
Factor -1496*p**2/5 + 1516*p/5 - 4.
-4*(p - 1)*(374*p - 5)/5
Factor 1095*a**3 - 2590*a**2 + 1895*a - 400.
5*(a - 1)**2*(219*a - 80)
Determine c so that -2*c**5 - 606*c**4 + 153840*c**3 - 7137232*c**2 - 30414240*c - 31039200 = 0.
-479, -2, 90
Factor -w**2/3 - 187*w/3 - 6580/3.
-(w + 47)*(w + 140)/3
Find d such that 2*d**5 - 9712*d**4 + 11848514*d**3 - 141222084*d**2 + 528470712*d - 633537072 = 0.
3, 6, 2422
Factor -2*z**3/13 + 30340*z**2/13 - 115125106*z/13 + 460015112/13.
-2*(z - 7583)**2*(z - 4)/13
What is q in 8*q**4/3 + 1898*q**3/3 + 19102*q**2 + 69152*q/3 + 13736/3 = 0?
-202, -34, -1, -1/4
Factor -2*b**2 + 26168*b - 85595528.
-2*(b - 6542)**2
Factor 4*v**2 + 730288*v + 33332535184.
4*(v + 91286)**2
What is w in -2*w**3/9 - 836*w**2/9 - 1666*w/9 - 832/9 = 0?
-416, -1
Factor -4*n**2 - 540*n - 5904.
-4*(n + 12)*(n + 123)
Find z, given that 217988*z**2 + 435970*z - 12 = 0.
-2, 3/108994
Factor -93*a**4/2 + 27*a**3 + 39*a**2/2.
-3*a**2*(a - 1)*(31*a + 13)/2
Find c, given that 2*c**5 + 490*c**4 + 19294*c**3 - 1457914*c**2 - 6063120*c - 4586400 = 0.
-140, -3, -1, 39
Suppose -8*f**5/5 - 332*f**4/5 + 252*f**3 - 36*f**2/5 - 324*f = 0. What is f?
-45, -1, 0, 3/2, 3
Find p, given that -2*p**5 - 3668*p**4 - 1700024*p**3 - 16737072*p**2 - 46665216*p - 39923712 = 0.
-912, -6, -2
Factor r**2 - 24547*r - 24548.
(r - 24548)*(r + 1)
Find a such that 5*a**5 + 633*a**4 + 15076*a**3 - 334432*a**2 - 211680*a + 137200 = 0.
-70, -1, 2/5, 14
Factor -m**4 + 57300*m**3.
-m**3*(m - 57300)
Factor -3*t**3 + 1050*t**2 + 2121*t - 3168.
-3*(t - 352)*(t - 1)*(t + 3)
Factor i**2 + 16652*i - 16653.
(i - 1)*(i + 16653)
Find o, given that -3*o**3/4 + 192*o**2 - 5229*o/4 = 0.
0, 7, 249
Factor -b**2 + 108070*b - 2919781225.
-(b - 54035)**2
Let 4*u**3/5 - 14528*u**2/5 + 13191424*u/5 = 0. Calculate u.
0, 1816
Let -4*b**5/5 - 56*b**4/5 - 12*b**3 + 184*b**2 + 1024*b/5 - 4224/5 = 0. What is b?
-11, -4, 2, 3
Let 3*w**3/2 + 687*w**2/2 + 9177*w/2 + 31605/2 = 0. What is w?
-215, -7
Factor 2*v**2 - 53440*v - 53442.
2*(v - 26721)*(v + 1)
What is v in 5*v**4 - 3630*v**3 - 128000*v**2 - 912000*v = 0?
-24, -10, 0, 760
Factor -3*m**3/2 - 7053*m**2/2 - 4176957*m/2 - 37023507/2.
-3*(m + 9)*(m + 1171)**2/2
Let -3*x**4/4 - 2916*x**3 - 11337405*x**2/4 + 2916*x + 2834352 = 0. Calculate x.
-1944, -1, 1
Factor -o**2/4 - 6067*o - 36808489.
-(o + 12134)**2/4
Determine b so that 2*b**2/11 - 50388*b/11 + 100768/11 = 0.
2, 25192
Factor 5*b**3 - 1740*b**2 - 342305*b + 344040.
5*(b - 488)*(b - 1)*(b + 141)
Let -50120*s**3 + 1002395*s**2 - 5011900*s - 500 = 0. Calculate s.
-1/10024, 10
Let -l**5/5 - 312*l**4 + 9383*l**3/5 - 20346*l**2/5 + 18788*l/5 - 6264/5 = 0. Calculate l.
-1566, 1, 2
Factor 5*d**2 + 2174260*d + 236370327380.
5*(d 