70*l**3 + 510*l**2 - 291*l - 315 = 0.
-1, -5/7, 1, 3, 7
Determine b so that 38*b**3/7 - 338*b**2/7 - 32336*b/7 - 3400/7 = 0.
-25, -2/19, 34
Factor 2*p**3 + 6520*p**2 + 26056*p + 26048.
2*(p + 2)**2*(p + 3256)
Suppose 5*q**2 + 695*q + 3350 = 0. What is q?
-134, -5
Factor 2*n**2/5 + 46838*n/5 - 9368.
2*(n - 1)*(n + 23420)/5
What is c in 144*c**3 + 10896*c**2 - 3644*c + 304 = 0?
-76, 1/6
Find w, given that w**5/5 - 22*w**4/5 + 83*w**3/5 + 122*w**2 - 2112*w/5 + 288 = 0.
-5, 1, 2, 12
What is i in 10*i**3 + 1902*i**2 - 10*i - 1902 = 0?
-951/5, -1, 1
Suppose -4*i**5 - 751*i**4 - 23648*i**3 - 17129*i**2 + 5772*i = 0. Calculate i.
-148, -39, -1, 0, 1/4
Factor i**3 + 47*i**2 + 290*i - 1976.
(i - 4)*(i + 13)*(i + 38)
Factor 2*a**2 + 108198*a + 108196.
2*(a + 1)*(a + 54098)
Solve -2*n**3/5 - 19803*n**2/5 - 9802980*n + 24512401/5 = 0 for n.
-4951, 1/2
Let v**2/3 - 4116*v + 12706092 = 0. Calculate v.
6174
Factor -5*o**4 - 94485*o**3 - 595161015*o**2 - 1249639744495*o.
-5*o*(o + 6299)**3
Factor s**2/2 + 139*s - 16560.
(s - 90)*(s + 368)/2
Factor 3*s**3/4 + 468*s**2 - 11748*s - 54432.
3*(s - 28)*(s + 4)*(s + 648)/4
Find b, given that -12*b**4 + 1196*b**3 - 8516*b**2 + 4756*b + 2576 = 0.
-1/3, 1, 7, 92
Suppose 2*m**5/7 + 58816*m**4/7 + 235220*m**3/7 - 50408*m**2 - 235222*m/7 + 294040/7 = 0. Calculate m.
-29404, -5, -1, 1
Determine u so that 5*u**3/2 - 1135*u**2/2 - 585*u + 3420 = 0.
-3, 2, 228
Solve z**3/2 - 121*z**2 - 5433*z/2 + 168345 = 0.
-45, 29, 258
Factor 3*y**4/7 - 9168*y**3/7 + 7848*y**2 - 109824*y/7 + 73200/7.
3*(y - 3050)*(y - 2)**3/7
Let -n**3 + 18827*n**2 + 37657*n + 18829 = 0. What is n?
-1, 18829
Let 15*b**5 + 215875*b**4 - 503820*b**3 - 431760*b**2 + 863680*b + 575760 = 0. What is b?
-14394, -1, -2/3, 2
Suppose s**4 + 1248108*s**3 + 519257859888*s**2 + 72009987665454656*s = 0. What is s?
-416036, 0
Determine q, given that 5*q**5 - 602*q**4 + 2005*q**3 - 1876*q**2 + 468*q = 0.
0, 2/5, 1, 2, 117
Suppose 2*m**4/11 - 1162*m**3/11 + 170510*m**2/11 - 501126*m/11 = 0. What is m?
0, 3, 289
Factor -4*p**3 + 12604*p**2 + 126340*p + 316100.
-4*(p - 3161)*(p + 5)**2
Factor d**3/5 + 4221*d**2/5 + 6744*d + 67408/5.
(d + 4)**2*(d + 4213)/5
Suppose 5*c**4/4 + 51180*c**3 + 523980830*c**2 + 2095309200*c + 2095104500 = 0. Calculate c.
-20470, -2
Determine x so that x**4 + 22*x**3 + 19*x**2 - 42*x = 0.
-21, -2, 0, 1
Factor -2*m**4/5 + 314*m**3/5 + 3344*m**2 + 194568*m/5.
-2*m*(m - 201)*(m + 22)**2/5
Find f such that -4*f**4 + 13228*f**3 + 92952*f**2 - 530416*f + 583264 = 0.
-11, 2, 3314
Factor -3*p**2/7 + 2274*p/7 - 18765.
-3*(p - 695)*(p - 63)/7
What is c in 342*c**3 - 12310*c**2 + 52938*c + 310 = 0?
-1/171, 5, 31
Factor -2*y**3 + 510*y**2 + 2064*y + 2072.
-2*(y - 259)*(y + 2)**2
Determine b so that 2*b**4/11 - 240*b**3/11 - 244*b**2/11 + 240*b/11 + 22 = 0.
-1, 1, 121
Suppose 2*v**2 - 387032*v - 774072 = 0. What is v?
-2, 193518
Suppose 2*t**3/11 + 266*t**2/11 - 1948*t/11 + 1680/11 = 0. What is t?
-140, 1, 6
Solve 2*k**2 + 608656*k + 46307765792 = 0.
-152164
Determine x, given that -14*x**2/3 + 62402*x + 26744/3 = 0.
-1/7, 13372
Factor 10201*a**4 + 77770*a**3 + 197917*a**2 + 189420*a + 60516.
(a + 3)**2*(101*a + 82)**2
Solve 15*j**4 + 48741*j**3 - 273321*j**2 + 322299*j + 175770 = 0 for j.
-3255, -2/5, 3
Let -57*b**5 - 3756*b**4 - 6843*b**3 + 4524*b**2 + 6900*b - 768 = 0. Calculate b.
-64, -2, -1, 2/19, 1
Factor 18*l**3/5 - 15262*l**2/5 + 3234272*l/5 + 359552/5.
2*(l - 424)**2*(9*l + 1)/5
Find q, given that 6*q**2 - 33412*q - 11138 = 0.
-1/3, 5569
Factor 2*b**5/21 + 9190*b**4 + 1551784340*b**3/7 - 13967217020*b**2/21 + 4655867670*b/7 - 1551977334/7.
2*(b - 1)**3*(b + 48249)**2/21
Factor 5*f**3 + 1075*f**2 + 3180*f.
5*f*(f + 3)*(f + 212)
Factor 4*h**3 + 179924*h**2 + 719612*h - 899540.
4*(h - 1)*(h + 5)*(h + 44977)
Let 2*r**4 + 1454*r**3 - 1456*r**2 = 0. What is r?
-728, 0, 1
Suppose -p**4/5 + 71*p**3 - 42099*p**2/5 + 336329*p - 327980 = 0. What is p?
1, 115, 124
Factor 2*g**2/15 - 2972*g/3.
2*g*(g - 7430)/15
Find m such that -14*m**5/3 - 1082*m**4/3 - 15218*m**3/3 + 240754*m**2/3 + 328864*m/3 + 73960/3 = 0.
-43, -1, -2/7, 10
Let 102*s**5/7 + 26372*s**4/7 + 2058*s**3 - 10832*s**2/7 + 1032*s/7 = 0. What is s?
-258, -1, 0, 2/17, 1/3
Solve -2*o**5 + 354*o**4 + 722*o**3 - 1058*o**2 - 2856*o - 1432 = 0.
-2, -1, 2, 179
Suppose -d**4/3 + 5263*d**3/3 - 3076515*d**2 + 1795654575*d + 3603629250 = 0. Calculate d.
-2, 1755
Find c such that 3182*c**4/3 - 143721*c**3 - 217696*c**2/3 + 72171*c - 136/3 = 0.
-1, 1/1591, 1/2, 136
Factor 9*y**4 + 267*y**3 - 6863*y**2 - 4663*y - 782.
(y - 17)*(y + 46)*(3*y + 1)**2
Solve 3*a**3/7 - 651*a**2 - 723720*a/7 - 27385476/7 = 0.
-74, 1667
Factor -2*c**2/3 - 280*c/3 - 1088/3.
-2*(c + 4)*(c + 136)/3
Factor -320*i**2/11 - 322*i/11 - 2/11.
-2*(i + 1)*(160*i + 1)/11
Solve 30*f**5 + 2913*f**4 + 11445*f**3 + 534*f**2 - 2232*f = 0 for f.
-93, -4, -1/2, 0, 2/5
Find w, given that w**5/4 - 2*w**4 - 19*w**3/4 + 49*w**2/2 - 18*w = 0.
-4, 0, 1, 2, 9
Solve 4*n**4/7 + 1768*n**3/7 + 189888*n**2/7 - 176128*n - 458752 = 0.
-224, -2, 8
Solve 3*l**4/8 + 1323*l**3/4 + 13179*l**2/8 + 5265*l/2 + 2631/2 = 0 for l.
-877, -2, -1
Determine x, given that 4*x**3 - 17012*x**2 + 101928*x = 0.
0, 6, 4247
Factor 214*o**4 + 4283*o**3 + 27452*o**2 + 55168*o + 768.
(o + 4)*(o + 8)**2*(214*o + 3)
Determine a so that -a**2 - 228387*a - 228386 = 0.
-228386, -1
Factor -2*g**2/11 + 7132*g/11 - 42720/11.
-2*(g - 3560)*(g - 6)/11
Find f, given that 2*f**5 + 96*f**4 - 948*f**3 - 2576*f**2 + 19698*f + 49392 = 0.
-56, -3, 7
Solve -6*y**2/7 + 548748*y/7 - 12546848646/7 = 0.
45729
What is b in 4*b**2 - 5068*b + 330648 = 0?
69, 1198
Solve -o**3/6 - 50*o**2 - 950*o - 14000/3 = 0 for o.
-280, -10
Factor z**4/6 - 4621*z**3/6 - 9258*z**2 - 111160*z/3 - 148256/3.
(z - 4633)*(z + 4)**3/6
Solve -j**4/6 - 9119*j**3/6 + 41072*j**2/3 - 36512*j/3 = 0 for j.
-9128, 0, 1, 8
Let 2*d**4/7 - 318*d**3/7 + 1538*d**2/7 + 318*d/7 - 220 = 0. Calculate d.
-1, 1, 5, 154
Factor -f**2 - 2087*f - 22836.
-(f + 11)*(f + 2076)
Suppose -275*c**2 + 390510*c - 14200 = 0. What is c?
2/55, 1420
What is c in -4*c**2 - 8500*c - 8496 = 0?
-2124, -1
Find w such that w**5/5 - 128*w**4/5 + 621*w**3/5 - 734*w**2/5 - 100*w + 984/5 = 0.
-1, 2, 123
Factor 3*w**2/8 + 415305*w/4.
3*w*(w + 276870)/8
Factor -2*j**3/3 + 3148*j**2/3 - 1238738*j/3.
-2*j*(j - 787)**2/3
Factor -g**4/10 + 727*g**3/10 - 1439*g**2/2 + 3585*g/2.
-g*(g - 717)*(g - 5)**2/10
Find h such that -2*h**3/9 - 579518*h**2/9 - 13993476266*h/3 - 4664427698 = 0.
-144879, -1
Solve i**3/2 - 195*i**2/2 + 96*i + 194 = 0 for i.
-1, 2, 194
Find g such that 24*g**2 + 31676*g - 5280 = 0.
-1320, 1/6
Suppose -l**4 + 118*l**3 + 1623*l**2 - 301136*l - 6512704 = 0. Calculate l.
-29, 88
Find u such that -21*u**5 - 48654*u**4 - 28104405*u**3 + 88983588*u**2 + 100892160*u - 16147200 = 0.
-1160, -1, 1/7, 4
Suppose -z**2/6 + 9161*z/3 - 18319/2 = 0. Calculate z.
3, 18319
What is z in z**4 + 14*z**3 - 3*z**2 - 188*z + 260 = 0?
-13, -5, 2
Factor 2*x**2/19 - 12096*x/19 - 60530/19.
2*(x - 6053)*(x + 5)/19
Find t such that -t**5/3 + 5*t**4/3 - t**3 - 3*t**2 = 0.
-1, 0, 3
Find j, given that -5*j**4 + 720*j**3 - 5505*j**2 + 8870*j - 4080 = 0.
1, 6, 136
Factor n**2 + 13790*n - 13791.
(n - 1)*(n + 13791)
Determine n so that -2*n**2/15 - 10328*n/5 - 40000344/5 = 0.
-7746
What is w in 2*w**4/15 - 256*w**3/15 - 86*w**2/5 = 0?
-1, 0, 129
Suppose -13*v**4/3 + 223*v**3 + 353*v**2 + 59*v/3 - 106 = 0. Calculate v.
-1, 6/13, 53
Find s such that 5*s**3 - 33710*s**2 - 134900*s - 134920 = 0.
-2, 6746
Factor g**2/3 - 244189*g/3 + 81396.
(g - 244188)*(g - 1)/3
Solve 6*b**4/11 - 1050*b**3/11 - 87072*b**2/11 - 1560576*b/11 - 1474560/11 = 0 for b.
-32, -1, 240
Find d, given that -2*d**2/3 + 38140*d/3 + 114474 = 0.
-9, 19079
Factor 3*l**3 + 23118*l**2 + 1150275*l + 14355000.
3*(l + 25)**2*(l + 7656)
Factor -j**4 - 281*j**3 + 5286*j**2 - 28544*j + 47840.
-(j - 10)*(j - 4)**2*(j + 299)
Factor p**2/7 + 739092*p/7 + 136564246116/7.
(p + 369546)**2/7
Factor 28*a**4/9 - 674*a**3/9 + 1360*a**2/3 - 32*a.
2*a*(a - 12)**2*(14*a - 1)/9
Solve 1127844*s**4 - 558612*s**3 + 81913*s**2 - 3156*s + 36 = 0 for s.
3/118, 2/9
Factor 5*x**3 - 250*x**2 - 520*x.
5*x*(x - 52)*(x + 2)
Find q, given that 2*q**4 + 52502*q**3 + 344583750*q**2 + 3