 500)*(q + 20)**2/4
Suppose -5*l**5 - 40735*l**4 - 110609090*l**3 - 100064257160*l**2 + 100396288160*l + 200349976960 = 0. What is l?
-2716, -1, 2
Solve -4*o**4/3 + 224*o**3 - 30460*o**2/3 + 54400*o + 1664000/3 = 0.
-5, 13, 80
Factor -4805*v**3/3 + 928295*v**2/3 - 59845*v + 2895.
-5*(v - 193)*(31*v - 3)**2/3
Solve -333*j**3/4 - 1200*j**2 + 2943*j/4 + 135/2 = 0 for j.
-15, -3/37, 2/3
Find h, given that -2*h**4 - 1925*h**3/2 + 2657*h**2 - 4837*h/2 + 726 = 0.
-484, 3/4, 1
Factor 2*m**2/7 - 1076836*m/7 + 144946971362/7.
2*(m - 269209)**2/7
Factor 3*d**2 - 4190*d.
d*(3*d - 4190)
Factor 4*n**2/3 + 7176*n - 867520/3.
4*(n - 40)*(n + 5422)/3
Solve -5*v**3 - 2145*v**2 + 17445*v - 15295 = 0 for v.
-437, 1, 7
Factor w**2/3 - 1856798*w/3 + 861924703201/3.
(w - 928399)**2/3
Factor 5*g**3 + 43075*g**2 + 129180*g.
5*g*(g + 3)*(g + 8612)
Suppose h**3 + 1256*h**2 + 2509*h + 1254 = 0. What is h?
-1254, -1
Let 2*i**2/3 + 22522*i - 337880/3 = 0. What is i?
-33788, 5
Determine l, given that l**5/6 - 17*l**4/3 + 10*l**3/3 + 215*l**2/3 - 7*l/2 - 66 = 0.
-3, -1, 1, 4, 33
Suppose -v**3/2 - 101*v**2/2 - 3059*v/2 - 29095/2 = 0. Calculate v.
-55, -23
Find w, given that -w**5 - 389*w**4 - 2690*w**3 - 6124*w**2 - 4584*w = 0.
-382, -3, -2, 0
Factor 12*p**2 + 6800*p - 2268.
4*(p + 567)*(3*p - 1)
Find g, given that -2*g**2/5 - 2960*g + 29608/5 = 0.
-7402, 2
Determine s so that -6*s**4/5 - 1348*s**3 - 1883792*s**2/5 + 1015652*s + 1901814/5 = 0.
-563, -1/3, 3
Let c**5/6 + 692*c**4 + 2138216*c**3/3 - 11537024*c**2 + 138977792*c/3 = 0. Calculate c.
-2084, 0, 8
Factor 5*r**2 - 57880*r - 521325.
5*(r - 11585)*(r + 9)
What is j in j**4 - 14*j**3 - 51*j**2 + 504*j + 540 = 0?
-6, -1, 6, 15
Factor -w**4 - 4697*w**3 - 4691*w**2 + 23477*w - 14088.
-(w - 1)**2*(w + 3)*(w + 4696)
Solve 338*c**3/9 + 562*c**2/3 + 148*c - 16/9 = 0 for c.
-4, -1, 2/169
Solve -z**2/5 - 53*z/5 + 1800 = 0.
-125, 72
Factor -m**5 - 95*m**4 - 187*m**3 - 93*m**2.
-m**2*(m + 1)**2*(m + 93)
Factor 3*n**3/2 - 117*n**2/4 + 99*n + 1815/4.
3*(n - 11)**2*(2*n + 5)/4
Find b, given that 5*b**4 + 157720*b**3 + 1658162880*b**2 + 5807990165120*b - 23258501361920 = 0.
-10516, 4
Factor -3*a**2 - 34728*a - 100502832.
-3*(a + 5788)**2
Factor 2*r**4/11 + 635120*r**3/11 - 1270246*r**2/11 + 635124*r/11.
2*r*(r - 1)**2*(r + 317562)/11
Factor -a**2/11 + 768058*a/11 - 147478272841/11.
-(a - 384029)**2/11
Factor -4*z**4 - 596*z**3 - 2896*z**2 - 2304*z.
-4*z*(z + 1)*(z + 4)*(z + 144)
Suppose 2*w**3/5 + 14*w**2/5 - 1592*w/5 - 3224/5 = 0. Calculate w.
-31, -2, 26
What is t in 3*t**2 + 13974*t - 13977 = 0?
-4659, 1
Suppose 6*c**4 + 12*c**3 - 440*c**2/3 - 16*c/3 + 64 = 0. Calculate c.
-6, -2/3, 2/3, 4
Factor 42*g**3 + 2258*g**2 - 552*g - 648.
2*(g + 54)*(3*g - 2)*(7*g + 3)
Determine o, given that -10*o**3 + 123325*o**2 + 185005*o + 61670 = 0.
-1, -1/2, 12334
Let 35*o**4 + 128195*o**3 - 550010*o**2 + 146680*o = 0. Calculate o.
-3667, 0, 2/7, 4
Let z**2/2 - 123*z/2 - 3465 = 0. Calculate z.
-42, 165
Factor 2*f**2/7 - 10866*f/7 - 32616/7.
2*(f - 5436)*(f + 3)/7
Let -2*y**2/7 - 3614*y/7 + 3616/7 = 0. What is y?
-1808, 1
Factor y**3/5 - 2*y**2/5 - 83*y - 1564/5.
(y - 23)*(y + 4)*(y + 17)/5
Factor 2*z**3 + 68538*z**2 + 587216448*z + 587147912.
2*(z + 1)*(z + 17134)**2
Factor 3*t**2 - 15515*t + 10342.
(t - 5171)*(3*t - 2)
Factor y**2 - 10475*y - 10476.
(y - 10476)*(y + 1)
Let 2*b**4/9 - 872*b**3/9 - 2*b**2/3 + 2620*b/9 - 1744/9 = 0. Calculate b.
-2, 1, 436
Factor -3567*v**2/4 + 253251*v/4 + 213/2.
-3*(v - 71)*(1189*v + 2)/4
Find m such that 3*m**2 - 3274740*m + 893660172300 = 0.
545790
Suppose -4*s**5 - 6528*s**4 + 8*s**3 + 13056*s**2 - 4*s - 6528 = 0. Calculate s.
-1632, -1, 1
Factor 3*d**3/4 - 3576*d**2 + 28587*d/4 + 21447/2.
3*(d - 4766)*(d - 3)*(d + 1)/4
Find b such that -12*b**5 - 1288*b**4 + 4840*b**3 - 4880*b**2 + 452*b + 888 = 0.
-111, -1/3, 1, 2
Solve -273*m**5 + 17295*m**4 - 130527*m**3 + 283449*m**2 - 80376*m - 7920 = 0.
-1/13, 3/7, 4, 55
Solve -n**2 - 1173*n - 228722 = 0 for n.
-926, -247
Let -5*q**2 - 7085*q + 42690 = 0. Calculate q.
-1423, 6
Factor -2*g**3/15 + 6936*g**2/5 - 317998*g/5 + 10958764/15.
-2*(g - 10358)*(g - 23)**2/15
Find t such that 4*t**2 - 1668*t + 64328 = 0.
43, 374
What is o in -5*o**2 + 4295*o - 34040 = 0?
8, 851
Determine q so that -q**3/5 + 493*q**2/5 + 496*q/5 - 988/5 = 0.
-2, 1, 494
Factor -g**3 - 259*g**2 + 9056*g + 19140.
-(g - 33)*(g + 2)*(g + 290)
Factor -4*t**2 + 2776*t - 457920.
-4*(t - 424)*(t - 270)
Suppose 2*u**3 + 2266*u**2 - 36640*u + 147072 = 0. Calculate u.
-1149, 8
Solve 2*a**5/3 + 402*a**4 + 210782*a**3/3 + 2896382*a**2 + 90582800*a/3 - 118580000 = 0 for a.
-275, -28, 3
Factor 2*w**4/7 + 1418*w**3/7 + 50502*w**2 + 5372402*w + 208376420.
2*(w + 133)**3*(w + 310)/7
Suppose -w**5 + 39*w**4/4 + 371*w**3/2 + 1511*w**2/4 + 243*w + 40 = 0. Calculate w.
-8, -1, -1/4, 20
Factor -5*k**3 + 100*k**2 - 365*k - 1170.
-5*(k - 13)*(k - 9)*(k + 2)
Factor -c**5/5 + 42*c**4/5 + 547*c**3/5 + 1892*c**2/5 + 912*c/5 - 3392/5.
-(c - 53)*(c - 1)*(c + 4)**3/5
Solve 3*a**3/2 + 138*a**2 + 4215*a/2 + 1971 = 0.
-73, -18, -1
What is s in -s**4/2 + 325*s**3/2 - 965*s**2/2 - 325*s/2 + 483 = 0?
-1, 1, 3, 322
Find o such that 2*o**3/11 - 602*o**2/11 + 31688*o/11 = 0.
0, 68, 233
Find r, given that 3*r**4 + 8124*r**3 - 97857*r**2 + 171654*r + 799680 = 0.
-2720, -2, 7
Let 3*c**4/2 - 2145*c**3/2 + 4281*c**2/2 - 2139*c/2 = 0. Calculate c.
0, 1, 713
Solve -3*d**5/8 + 291*d**4/8 - 615*d**3 - 3066*d**2 = 0.
-4, 0, 28, 73
Factor i**2 - 1210*i + 26136.
(i - 1188)*(i - 22)
Factor 4*n**2 + 3188*n - 235280.
4*(n - 68)*(n + 865)
Factor 2*o**3 - 52066*o**2 - 52068*o.
2*o*(o - 26034)*(o + 1)
Find u such that 5*u**5 - 785*u**4 - 26695*u**3 - 51015*u**2 - 25110*u = 0.
-27, -1, 0, 186
Factor t**4/4 - 1799*t**3/4 + 813565*t**2/4 - 3997929*t/4 - 5632263/2.
(t - 897)**2*(t - 7)*(t + 2)/4
Solve -2*b**5 + 526*b**4 - 39876*b**3 + 670032*b**2 - 276480*b - 14515200 = 0 for b.
-4, 6, 21, 120
Factor -v**3 + 34*v**2 - 264*v.
-v*(v - 22)*(v - 12)
Determine b, given that -4*b**5 + 1872*b**4 + 4*b**3 - 1872*b**2 = 0.
-1, 0, 1, 468
Determine o so that 18*o**4 - 126204*o**3 + 294410*o**2 - 224296*o + 56072 = 0.
2/3, 1, 7009
Factor -2*o**2/9 - 4388*o/9.
-2*o*(o + 2194)/9
Factor -2*y**3 - 176*y**2 + 32762*y + 32936.
-2*(y - 92)*(y + 1)*(y + 179)
Solve 5*o**2 + 2635*o + 97400 = 0.
-487, -40
Let 81*y**3 - 986*y**2 + 3084*y - 504 = 0. What is y?
14/81, 6
Find t, given that -4*t**2 + 40052*t + 40056 = 0.
-1, 10014
Factor k**4/2 - 107*k**3 - 4195*k**2/2 + 2204*k.
k*(k - 232)*(k - 1)*(k + 19)/2
Factor 3*u**3/2 - 4179*u**2/2 + 1427793*u/2 + 19274151/2.
3*(u - 703)**2*(u + 13)/2
Let 5*d**3/4 + 1805*d**2 + 43185*d/4 + 32355/2 = 0. Calculate d.
-1438, -3
Let -3*g**2/8 - 214509*g/2 - 15338037027/2 = 0. What is g?
-143006
Factor 4*g**2 + 1801424*g + 202820526736.
4*(g + 225178)**2
Factor -2*c**2/13 + 24302*c/13.
-2*c*(c - 12151)/13
Factor 5*f**4 - 400*f**3 - 9005*f**2 - 40100*f + 49500.
5*(f - 99)*(f - 1)*(f + 10)**2
Factor 148*k**2 - 7359*k + 5436.
(4*k - 3)*(37*k - 1812)
Solve -5*y**4/3 + 2594155*y**3/3 - 149548135675*y**2 + 25863901413666505*y/3 - 51726008270458070/3 = 0 for y.
2, 172943
Let 2*r**3 + 208*r**2 - 3018*r + 2808 = 0. Calculate r.
-117, 1, 12
Suppose -4*x**2 + 443576*x - 443572 = 0. What is x?
1, 110893
Factor -2*k**3/5 + 322*k**2/5 - 2472*k/5 + 3672/5.
-2*(k - 153)*(k - 6)*(k - 2)/5
Factor -3*l**3/4 - 2523*l**2 + 10095*l/4.
-3*l*(l - 1)*(l + 3365)/4
Factor 2*x**2/5 + 232*x + 1158/5.
2*(x + 1)*(x + 579)/5
Factor -q**2/6 + 6463*q/6 + 2155.
-(q - 6465)*(q + 2)/6
Factor -2*a**3/3 - 46*a**2/3 - 116*a - 288.
-2*(a + 6)*(a + 8)*(a + 9)/3
Factor 8*p**2/9 - 105290*p/9 + 8774/3.
2*(p - 13161)*(4*p - 1)/9
Suppose 2*s**3 + 14112*s**2 + 25034088*s + 495052960 = 0. Calculate s.
-3518, -20
Factor 2*w**3/7 - 6092*w**2/7 + 4589938*w/7 + 75006752/7.
2*(w - 1531)**2*(w + 16)/7
Factor 4*z**3 - 1348*z**2 + 36960*z + 14641200.
4*(z - 210)**2*(z + 83)
Find k, given that -k**2 + 12783*k = 0.
0, 12783
Factor 2*b**3/3 + 1292*b**2/3 + 200690*b/3 - 865928.
2*(b - 12)*(b + 329)**2/3
Let 3*t**2 - 4533*t + 45030 = 0. Calculate t.
10, 1501
Determine z so that 4*z**2/7 + 165058*z/7 - 11790 = 0.
-41265, 1/2
Suppose -2*x**5/19 + 4*x**4/19 + 78*x**3/19 - 184*x**2/19 - 376*x/19 + 480/19 = 0. Calcula