Calculate k.
-85, 5
Factor 6*t**3 + 18770*t**2 - 12516*t.
2*t*(t + 3129)*(3*t - 2)
Factor 4*o**4 + 72*o**3 + 61*o**2 - 117*o + 34.
(o + 2)*(o + 17)*(2*o - 1)**2
Factor -3*d**3 + 26013*d**2 - 78018*d + 52008.
-3*(d - 8668)*(d - 2)*(d - 1)
Factor -8*s**2/13 + 32366*s/13 + 64764/13.
-2*(s + 2)*(4*s - 16191)/13
Factor -z**2 + 372*z + 6208.
-(z - 388)*(z + 16)
Let 3*p**3 + 138*p**2 - 3*p - 138 = 0. What is p?
-46, -1, 1
What is o in 4*o**3/7 + 52*o**2/7 - 708*o/7 - 108 = 0?
-21, -1, 9
Find c such that c**5/11 + 29*c**4/11 - 41*c**3/11 - 1261*c**2/11 - 1976*c/11 + 3248/11 = 0.
-29, -4, 1, 7
What is a in 60*a**4/7 + 1856*a**3/7 + 488*a**2 + 1504*a/7 - 116/7 = 0?
-29, -1, 1/15
Suppose q**5 + 4*q**4 - 211*q**3 - 1054*q**2 - 840*q = 0. What is q?
-14, -4, -1, 0, 15
Find d such that -2*d**5/9 + 1006*d**4/9 + 9200*d**3/9 + 8192*d**2/9 = 0.
-8, -1, 0, 512
Factor -2*t**2 + 48552*t - 48550.
-2*(t - 24275)*(t - 1)
Find k, given that -k**4/2 - 21*k**3 - 241*k**2/2 + 2100*k - 5000 = 0.
-25, 4
Let 128*y**4/11 + 28538784*y**3/11 - 21404136*y**2/11 + 486458*y - 445920/11 = 0. Calculate y.
-222960, 1/4
Factor -4*n**3 - 32*n**2 + 256*n + 2048.
-4*(n - 8)*(n + 8)**2
Factor -5*l**3 + 95*l**2 - 90*l.
-5*l*(l - 18)*(l - 1)
Factor 3*p**3 + 5343*p**2 + 778752*p + 29659500.
3*(p + 78)**2*(p + 1625)
Suppose 20*o**2 - 42432*o - 16976 = 0. Calculate o.
-2/5, 2122
Factor -i**3 - 1509*i**2 + 24336*i - 97600.
-(i - 8)**2*(i + 1525)
Solve -2*i**5/11 + 2322*i**4/11 + 3844*i**3 + 188676*i**2/11 - 42282*i/11 - 190998/11 = 0 for i.
-9, -1, 1, 1179
Factor 5*z**2 - 21930*z + 65745.
5*(z - 4383)*(z - 3)
Suppose -9*c**3 + 1509*c**2 + 8256*c + 8304 = 0. Calculate c.
-4, -4/3, 173
Determine o so that 3*o**4 - 297*o**3 + 7707*o**2 - 45063*o - 53070 = 0.
-1, 10, 29, 61
Determine m so that -343*m**4/4 + 5411*m**3/4 - 3907*m**2/4 - 1251*m/4 + 45/2 = 0.
-2/7, 3/49, 1, 15
Factor 246*u**2/5 - 891*u + 486/5.
3*(u - 18)*(82*u - 9)/5
Factor -p**3/4 + 133*p**2/4 + 426*p + 1305.
-(p - 145)*(p + 6)**2/4
Suppose w**2 + 90628*w + 2053358596 = 0. What is w?
-45314
Suppose 12*y**2 + 77655*y + 19413 = 0. What is y?
-6471, -1/4
Let -4*m**2/3 - 13052*m/3 - 1950568/3 = 0. Calculate m.
-3106, -157
Find b such that -2*b**2 - 359024*b - 16112279072 = 0.
-89756
Find v such that 5*v**2 + 2425*v + 244530 = 0.
-342, -143
What is q in q**5/9 - 7*q**4/9 - 11*q**3/9 + 127*q**2/9 - 70*q/9 - 200/9 = 0?
-4, -1, 2, 5
Determine t, given that 4*t**2 + 5889946*t - 2944974 = 0.
-1472487, 1/2
Find x such that -24746*x**2 - 24706*x + 40 = 0.
-1, 20/12373
Suppose 3*v**3 - 165*v**2 + 318*v = 0. What is v?
0, 2, 53
Let -5*z**3 - 5370*z**2 + 5385*z + 10750 = 0. What is z?
-1075, -1, 2
What is h in -5*h**4 + 1680*h**3 - 104145*h**2 - 6509470*h - 12588840 = 0?
-36, -2, 187
Factor -s**4 + 7*s**3 + 195*s**2 - 1251*s + 1890.
-(s - 15)*(s - 3)**2*(s + 14)
Factor 2*g**2/3 - 496*g/3 - 7462.
2*(g - 287)*(g + 39)/3
Solve -v**3/3 - 883*v**2 - 108928*v - 10326016/3 = 0.
-2521, -64
Solve 6*w**2 + 1155*w + 576 = 0.
-192, -1/2
Suppose -247107*b**3 - 9644061*b**2 - 268680*b - 1872 = 0. Calculate b.
-39, -4/287
Factor -k**2/6 - 479*k/3 - 32708/3.
-(k + 74)*(k + 884)/6
Factor 2*y**2/7 + 652536*y/7 + 53225403912/7.
2*(y + 163134)**2/7
Suppose 16*g**4 - 5604*g**3 + 82024*g**2 - 95196*g + 18760 = 0. What is g?
1/4, 1, 14, 335
Factor 4*l**3 + 780*l**2 + 2192*l - 21504.
4*(l - 4)*(l + 7)*(l + 192)
Solve m**2/6 - 6313*m/6 = 0 for m.
0, 6313
Let -3*q**5 + 3*q**4 + 1029*q**3 - 7563*q**2 - 1026*q + 7560 = 0. Calculate q.
-21, -1, 1, 10, 12
Suppose f**3 + 184*f**2 + 6324*f - 208080 = 0. What is f?
-102, 20
Find s such that -3*s**4/5 + 1122*s**3/5 - 20295*s**2 - 128820*s - 108300 = 0.
-5, -1, 190
Suppose 5*z**2 + 4592100*z + 1054369120500 = 0. Calculate z.
-459210
Determine o so that o**5 + 78*o**4 + 1234*o**3 + 2088*o**2 - 1235*o - 2166 = 0.
-57, -19, -2, -1, 1
Find c, given that -4*c**5 + 624*c**4 - 8820*c**3 - 19528*c**2 - 10080*c = 0.
-1, 0, 18, 140
Factor -3432041540929*x**2/4 - 1852577*x - 1.
-(1852577*x + 2)**2/4
Solve -2*j**5 - 1424*j**4 + 14392*j**3 - 34676*j**2 - 14390*j + 36100 = 0 for j.
-722, -1, 1, 5
Find x, given that -2*x**2/9 - 26464*x/3 - 87542912 = 0.
-19848
Factor 2*n**4 + 102*n**3 - 1052*n**2 + 1680*n.
2*n*(n - 7)*(n - 2)*(n + 60)
Let -5*s**4/3 + 25040*s**3/3 - 10383040*s**2 - 503203840*s/3 - 2019246080/3 = 0. What is s?
-8, 2512
Factor 3*b**2/7 + 93*b + 1926/7.
3*(b + 3)*(b + 214)/7
Determine h so that -4*h**5/5 + 184*h**4/5 + 1072*h**3/5 - 536*h**2 + 1428*h/5 = 0.
-7, 0, 1, 51
Suppose -4*y**2 + 280680*y - 4923828900 = 0. What is y?
35085
Factor r**2 + 1638*r - 1639.
(r - 1)*(r + 1639)
Factor q**4 - 8654*q**3 - q**2 + 8654*q.
q*(q - 8654)*(q - 1)*(q + 1)
Factor 2*h**2/11 + 12224*h/11 + 18678272/11.
2*(h + 3056)**2/11
Solve 5*t**3/6 - 397*t**2/6 + 803*t - 2616 = 0.
6, 8, 327/5
What is d in -93*d**3/2 + 44169*d**2/2 - 20616*d - 1422 = 0?
-2/31, 1, 474
Factor v**4/4 - v**3/4.
v**3*(v - 1)/4
Factor 5*d**2 - 130920*d + 857002320.
5*(d - 13092)**2
Factor p**5 + 7*p**4 - 9*p**3 - 7*p**2 + 8*p.
p*(p - 1)**2*(p + 1)*(p + 8)
Factor -2*v**3/9 + 16654*v**2/9 + 5552*v/3.
-2*v*(v - 8328)*(v + 1)/9
What is b in -b**4/6 + 19003*b**3/3 - 80239110*b**2 + 1015987408100*b/3 + 4067802326000/3 = 0?
-4, 12670
Find i, given that -i**5 - 4258*i**4/5 + 1839*i**3/5 + 115236*i**2/5 + 183924*i/5 - 92016/5 = 0.
-852, -3, 2/5, 6
Determine f so that 21*f**3/4 + 4999*f**2/2 + 201415*f/4 - 34125/2 = 0.
-455, -150/7, 1/3
Let 2*k**2/9 + 46832*k/9 + 274154528/9 = 0. Calculate k.
-11708
Factor r**3/4 - 8889*r**2/4 - 17794*r.
r*(r - 8897)*(r + 8)/4
Suppose d**4 - 712*d**3 - 5041*d**2 + 5752*d = 0. Calculate d.
-8, 0, 1, 719
Let x**3/2 - 2575*x**2/2 - 5158*x = 0. What is x?
-4, 0, 2579
Let r**3/5 + 53*r**2/5 + 287*r/5 + 47 = 0. Calculate r.
-47, -5, -1
Let -4*l**2/9 + 15648*l - 1407920/9 = 0. Calculate l.
10, 35198
Determine h, given that 2*h**3 + 71050*h**2 - 213164*h + 142112 = 0.
-35528, 1, 2
Factor 2*s**3 + 300*s**2 + 8838*s - 51940.
2*(s - 5)*(s + 49)*(s + 106)
Suppose -f**5/6 - 8*f**4 + 285*f**3/2 - 403*f**2/3 = 0. What is f?
-62, 0, 1, 13
Factor 3*n**2 + 1809*n - 14664.
3*(n - 8)*(n + 611)
Solve -2*l**4/5 + 3788*l**3/5 - 3758*l**2/5 - 53052*l/5 + 90864/5 = 0 for l.
-4, 2, 3, 1893
Suppose -574*j**3 + 4014*j**2 - 6860*j - 48 = 0. What is j?
-2/287, 3, 4
Solve -g**2/2 - 18922*g + 37845/2 = 0.
-37845, 1
Factor -3*x**2 - 252*x + 13908.
-3*(x - 38)*(x + 122)
Determine r so that r**5/2 - 19*r**4/2 - 12*r**3 + 38*r**2 + 40*r = 0.
-2, -1, 0, 2, 20
Factor -3*h**3/2 + 471*h**2/2 - 1149*h + 1368.
-3*(h - 152)*(h - 3)*(h - 2)/2
Solve 4*a**2 + 15616*a + 480252 = 0.
-3873, -31
Determine p so that 54*p**4/5 + 5016*p**3/5 + 22878*p**2/5 - 31116*p/5 + 3168/5 = 0.
-88, -6, 1/9, 1
What is g in 2*g**2/7 + 5100*g + 392458/7 = 0?
-17839, -11
Solve 2*l**2/5 - 216*l/5 + 1414/5 = 0.
7, 101
Factor -3*r**2 - 61908*r - 319383372.
-3*(r + 10318)**2
Solve n**3/3 + 76*n**2/3 + 25*n = 0.
-75, -1, 0
Find v, given that -605*v**3/3 - 379280*v**2/3 - 51131920*v/3 + 2690844800/3 = 0.
-3668/11, 40
Factor t**2 + 955*t/8 + 2793/8.
(t + 3)*(8*t + 931)/8
Suppose 2*h**4 + 478*h**3 - 18354*h**2 + 64386*h + 1926288 = 0. What is h?
-273, -8, 21
Find i, given that -16*i**3 - 385568*i**2 - 385556*i - 96388 = 0.
-24097, -1/2
Factor a**2/8 + 165*a/4 - 16039/8.
(a - 43)*(a + 373)/8
Determine s, given that 1594*s**2/11 + 11076*s/11 - 574/11 = 0.
-7, 41/797
Suppose -2*p**3 + 9496*p**2 - 28462*p - 37960 = 0. What is p?
-1, 4, 4745
Solve 2*y**2/3 + 266*y/3 - 180 = 0.
-135, 2
Find g, given that -2*g**2/11 - 1822*g/11 - 63000/11 = 0.
-875, -36
What is p in 2*p**2/3 + 230*p/3 + 224 = 0?
-112, -3
Find p, given that -p**2/4 + 8196*p - 67174416 = 0.
16392
Factor 340*g**3 - 4076*g**2 + 11852*g + 140.
4*(g - 7)*(g - 5)*(85*g + 1)
Suppose -r**4/8 - 27407*r**3/2 - 2003031459*r**2/4 - 12198795405615*r/2 + 48799187795007/8 = 0. Calculate r.
-36543, 1
Let 2*n**5/5 - 460*n**4 + 6882*n**3/5 = 0. What is n?
0, 3, 1147
Factor -5*y**3 + 11650*y**2.
-5*y**2*(y - 2330)
Find l such that 2*l**5/3 + 500*l**4/3 + 12108*l**3 + 598600*l**2/3 - 859478*l/3 - 1276900 = 0.
-113, -25, -2, 3
Determine p so that 2*p**2 - 902*p - 70584 = 0.
-68, 519
Factor y**3 + 1096*y**2/5 + 21009*y/5 + 4158/5.
(y + 21)*(y + 198)*(5*y + 1)/5
What is z in -2*z**4/11 - 530