 756 = 0.
-42, 1/4, 3, 4
Factor -4*q**3/5 + 436*q**2/5 + 948*q/5 - 1332.
-4*(q - 111)*(q - 3)*(q + 5)/5
Suppose -3*i**3 - 6315*i**2 - 6312*i = 0. Calculate i.
-2104, -1, 0
Factor 3*z**5 - 30*z**4 + 69*z**3 - 42*z**2.
3*z**2*(z - 7)*(z - 2)*(z - 1)
Suppose -3*i**3 - 516*i**2 - 2001*i + 2520 = 0. What is i?
-168, -5, 1
Factor -2*r**3/9 - 98*r**2/9 + 104*r/9 + 200/9.
-2*(r - 2)*(r + 1)*(r + 50)/9
Determine o so that 2*o**4/17 + 82430*o**3/17 + 1132972392*o**2/17 + 5200323450272*o/17 + 98397707648384/17 = 0.
-13732, -19
Factor 4*c**2 + 325312*c + 6614243584.
4*(c + 40664)**2
Suppose -4*q**3 - 30176*q**2 - 56972240*q - 227406400 = 0. What is q?
-3770, -4
Suppose -2*b**3/9 - 232*b**2/3 - 6408*b + 506944/9 = 0. What is b?
-178, 8
Factor -4*d**2 - 1984*d + 26468.
-4*(d - 13)*(d + 509)
Find y, given that 13860*y**3 + 24303*y**2/2 - 3423*y/2 - 3 = 0.
-1, -2/1155, 1/8
Factor -x**4/6 - 31*x**3/3 + 751*x**2/6 + 3976*x/3.
-x*(x - 16)*(x + 7)*(x + 71)/6
Let 2*g**2 - 36076*g + 162684722 = 0. What is g?
9019
Solve -2*k**4/13 + 10*k**3/13 + 14*k**2/13 - 58*k/13 - 60/13 = 0 for k.
-2, -1, 3, 5
Factor -r**5 - 7291*r**4 - 29152*r**3 - 29148*r**2.
-r**2*(r + 2)**2*(r + 7287)
Factor m**2/8 - 1432211*m/4 + 2051228348521/8.
(m - 1432211)**2/8
Determine n so that -2*n**4/5 + 136*n**3/5 - 1818*n**2/5 - 18796*n/5 + 43808/5 = 0.
-8, 2, 37
What is h in 5*h**2 + 9800*h + 4802000 = 0?
-980
Let -8*w**5 + 174*w**4 + 3220*w**3 + 3786*w**2 + 748*w = 0. Calculate w.
-11, -1, -1/4, 0, 34
Suppose 2*r**2 - 1604496*r + 321800926752 = 0. What is r?
401124
Solve -5*b**2 + 35730*b - 63831645 = 0 for b.
3573
Factor -2*l**2/9 - 43150*l/9 - 43148/9.
-2*(l + 1)*(l + 21574)/9
What is r in r**2 - 13885*r + 69400 = 0?
5, 13880
Let -2*h**4/5 - 15978*h**3/5 + 28782*h**2 - 431838*h/5 + 431892/5 = 0. Calculate h.
-7998, 3
Find d, given that 12*d**4/7 - 156*d**3/7 - 621*d**2/7 + 732*d/7 - 192/7 = 0.
-4, 1/2, 16
Factor -4*q**2 - 7596*q - 15176.
-4*(q + 2)*(q + 1897)
Let 3*b**2/4 - 31737*b/4 - 7935 = 0. Calculate b.
-1, 10580
Find n, given that -5*n**4 - 18650*n**3 - 17391105*n**2 + 74600*n + 69564500 = 0.
-1865, -2, 2
Factor u**3 - 413*u**2 - 5978*u.
u*(u - 427)*(u + 14)
Factor h**4 - 162*h**3 + 1253*h**2 - 3252*h + 2772.
(h - 154)*(h - 3)**2*(h - 2)
Factor 3*t**3/7 + 6738*t**2/7 + 467565*t + 456566700/7.
3*(t + 305)**2*(t + 1636)/7
Factor a**2 - 370548*a + 34326455076.
(a - 185274)**2
What is s in 2*s**4/9 - 23648*s**3/9 - 10514*s**2 + 23648*s/9 + 94624/9 = 0?
-4, -1, 1, 11828
Factor -4*d**4/5 + 4246176*d**3/5 - 1502500885248*d**2/5 + 177218977747744768*d/5.
-4*d*(d - 353848)**3/5
Determine a so that -2*a**3/9 + 17192*a**2/9 - 34378*a/9 + 17188/9 = 0.
1, 8594
Factor -7*h**3/2 - 191*h**2 - 3075*h/2 - 1350.
-(h + 1)*(h + 45)*(7*h + 60)/2
Solve 6*q**3/5 - 2334*q**2/5 + 4644*q/5 = 0.
0, 2, 387
Factor -45*q**3/2 + 1617*q**2 - 5916*q.
-3*q*(q - 68)*(15*q - 58)/2
Let 2*h**3/19 + 3240*h**2/19 + 9682*h/19 - 32340/19 = 0. Calculate h.
-1617, -5, 2
Factor 12*h**3/5 - 201*h**2/5 - 12*h + 153/5.
3*(h - 17)*(h + 1)*(4*h - 3)/5
Solve 2*q**5 + 950*q**4 - 26684*q**3 + 212176*q**2 - 338496*q - 578304 = 0.
-502, -1, 4, 12
Determine g so that -2*g**5 + 106*g**4 - 1698*g**3 + 6614*g**2 + 20900*g = 0.
-2, 0, 11, 19, 25
What is o in 4*o**4 + 92*o**3 - 40*o**2 - 7616*o = 0?
-17, -14, 0, 8
Let -w**4/5 - 1143*w**3/5 + 85752*w**2/5 - 2085696*w/5 + 3359232 = 0. What is w?
-1215, 24
Factor 4*c**3/5 - 8*c**2/5 - 22044*c.
4*c*(c - 167)*(c + 165)/5
Suppose -70*j**3 - 37008*j**2 + 48792*j + 16960 = 0. What is j?
-530, -2/7, 8/5
Factor -5*l**3 + 255*l**2 - 1840*l - 2100.
-5*(l - 42)*(l - 10)*(l + 1)
Factor -2*t**3/13 - 10*t**2/13 + 48*t/13.
-2*t*(t - 3)*(t + 8)/13
Find r, given that -r**5/5 + 30*r**4 + 5643*r**3/5 - 214876*r**2 - 4360356*r/5 - 876096 = 0.
-80, -2, 117
Factor -2*m**5 - 12*m**4 + 324*m**3 - 1728*m**2 + 3726*m - 2916.
-2*(m - 3)**4*(m + 18)
Solve -45*n**3 - 9620*n**2 - 7445*n + 2130 = 0 for n.
-213, -1, 2/9
Suppose 4*n**5 + 1353*n**4 + 115926*n**3 + 256033*n**2 + 169680*n + 28224 = 0. What is n?
-168, -1, -1/4
Factor 4*h**2 - 1840*h - 1844.
4*(h - 461)*(h + 1)
Determine m so that 364*m**2 - 2939*m + 216 = 0.
27/364, 8
Let -2*q**3 - 28*q**2 + 19136*q - 638144 = 0. Calculate q.
-118, 52
Let -v**3/5 - 1347*v**2/5 + 4054*v/5 + 1080 = 0. Calculate v.
-1350, -1, 4
Factor 4*y**3 - 1076*y**2 + 69752*y + 143840.
4*(y - 155)*(y - 116)*(y + 2)
Find c, given that -4*c**5/7 + 1594*c**4/7 - 150894*c**3/7 - 1608336*c**2/7 + 2746656*c/7 = 0.
-11, 0, 3/2, 204
Suppose 2*z**5/13 - 850*z**4/13 + 2490*z**3/13 + 17890*z**2/13 - 70172*z/13 + 50640/13 = 0. What is z?
-5, 1, 3, 4, 422
Find j, given that -4*j**2 + 1544*j + 1548 = 0.
-1, 387
Solve 15*o**2 + 6397325*o + 2132440 = 0 for o.
-426488, -1/3
Factor -3*n**2 - 4197*n - 4194.
-3*(n + 1)*(n + 1398)
Find t such that 18373922*t**2 + 109116*t + 162 = 0.
-9/3031
Let 2178*k**5 + 19734*k**4 + 18614*k**3 + 1074*k**2 + 16*k = 0. Calculate k.
-8, -1, -1/33, 0
Determine z so that -4*z**2 + 198212*z - 198208 = 0.
1, 49552
Factor 2*x**3 + 332*x**2 - 4400*x - 22784.
2*(x - 16)*(x + 4)*(x + 178)
Let -4*a**3 - 116*a**2 + 1060*a + 7700 = 0. Calculate a.
-35, -5, 11
What is d in -3*d**2 + 462363*d = 0?
0, 154121
Factor -2*s**3/5 + 848*s**2/5 + 3416*s/5 + 3424/5.
-2*(s - 428)*(s + 2)**2/5
Factor -x**3/8 + 65*x**2/8 + 2933*x/4 + 725.
-(x - 116)*(x + 1)*(x + 50)/8
Solve 30*x**3 - 57832*x**2 + 27863456*x + 7434368 = 0 for x.
-4/15, 964
Let 3*t**5/4 - 1035*t**4/2 + 187731*t**3/4 - 1147041*t**2 = 0. Calculate t.
0, 51, 588
What is n in 2*n**3/15 + 63986*n**2/15 + 127966*n/15 + 63982/15 = 0?
-31991, -1
Factor s**3 - 276*s**2 - 1120*s.
s*(s - 280)*(s + 4)
Find k, given that -k**4/4 - 978*k**3 - 25329*k**2/2 + 28264*k - 58485/4 = 0.
-3899, -15, 1
Determine n so that n**5 - 15*n**4 - 17*n**3 + 639*n**2 - 740*n - 3900 = 0.
-6, -2, 5, 13
Find p such that -4*p**2 - 140*p + 26664 = 0.
-101, 66
Determine s, given that -3*s**4 + 537*s**3 - 6624*s**2 + 25068*s - 27888 = 0.
2, 4, 7, 166
Find x, given that -x**3/4 - 11*x**2/2 + 109*x + 238 = 0.
-34, -2, 14
Find i such that -3*i**5/2 + 129*i**4/2 - 225*i**3/2 - 849*i**2/2 - 246*i = 0.
-1, 0, 4, 41
Factor -77510*v**2 + 155005*v + 30.
-5*(v - 2)*(15502*v + 3)
Factor -5*o**4/3 - 26*o**3/3 + 12*o**2 + 24*o.
-o*(o - 2)*(o + 6)*(5*o + 6)/3
Find m such that 4548*m**3 - 112214*m**2/5 - 7432*m/5 + 2 = 0.
-1/15, 1/758, 5
Factor -2*r**3 + 5348*r**2 - 3596434*r + 28430224.
-2*(r - 1333)**2*(r - 8)
Factor 5*u**2 + 21240*u - 106325.
5*(u - 5)*(u + 4253)
Determine l so that -l**2/5 + 2834*l/5 - 2829 = 0.
5, 2829
Factor 2*y**4 + 1438*y**3 - 7232*y**2 + 5792*y.
2*y*(y - 4)*(y - 1)*(y + 724)
Determine c, given that c**2 - 321807*c - 643618 = 0.
-2, 321809
Factor -b**2/3 + 31580*b/3 + 10527.
-(b - 31581)*(b + 1)/3
Factor -4*j**3 + 840*j**2 - 16196*j + 60480.
-4*(j - 189)*(j - 16)*(j - 5)
What is w in 5*w**3 - 12320*w**2 - 61725*w = 0?
-5, 0, 2469
Suppose -4*m**2/7 - 123568*m/7 + 123596 = 0. What is m?
-30899, 7
Factor -a**2 - 6521*a + 13046.
-(a - 2)*(a + 6523)
Factor g**3 - 521*g**2 - 550776*g + 303776496.
(g - 636)**2*(g + 751)
Determine w so that 2*w**5/7 - 1130*w**4/7 + 210800*w**3/7 - 14485640*w**2/7 + 47803520*w - 45764096 = 0.
1, 56, 226
Factor -4*h**3 + 472*h**2 - 3548*h + 3080.
-4*(h - 110)*(h - 7)*(h - 1)
Suppose 3*t**2 - 90852*t/7 + 3708 = 0. What is t?
2/7, 4326
Suppose 2*t**3/3 - 292*t**2 + 47608*t/3 + 32912 = 0. What is t?
-2, 66, 374
Let 2*l**4/9 + 944*l**3/9 + 5602*l**2/9 + 4660*l/9 = 0. What is l?
-466, -5, -1, 0
What is g in -2*g**5/11 - 2030*g**4/11 - 539818*g**3/11 - 12516250*g**2/11 - 5940900*g + 7128000 = 0?
-495, -16, -10, 1
What is u in 242*u**5/13 - 8800*u**4/13 - 211962*u**3/13 + 795232*u**2/13 - 267944*u/13 + 1824 = 0?
-19, 2/11, 3, 52
Factor i**3/4 + 1660*i**2 + 2748948*i - 22097952.
(i - 8)*(i + 3324)**2/4
Solve -5*k**3 + 14755*k**2 - 146855*k - 573495 = 0 for k.
-3, 13, 2941
Let g**2/8 + 521799*g/8 - 65225 = 0. Calculate g.
-521800, 1
Let -2*j**3 + 1872*j**2 + 13218*j - 15088 = 0. What is j?
-8, 1, 943
Factor 6*w**2/5 + 1206*w - 257316/5.
6*(w - 41)*(w + 1046)/5
Let -51145923*q**2/4 + 371610*q - 2700 = 0. What is q?
60/4129
What is l in 48*l**4 - 213356*l**3 - 871796*l**2 - 925376*l - 71184 = 0?
-2, -1/12, 4449
Factor 3*o**4 - 194280*o**3 + 4193987112*o**2 - 