**2/5 + 27618*d/5 - 82836/5 = 0.
3, 13806
Factor -x**3/2 - 167*x**2 + 226255*x/2 - 12047200.
-(x - 185)**2*(x + 704)/2
Suppose 2*i**5/17 + 78*i**4/17 - 52*i**3 - 960*i**2/17 = 0. Calculate i.
-48, -1, 0, 10
Factor 125*t**4 - 10530400*t**3 + 221768117670*t**2 + 443567827040*t + 221789178845.
5*(t + 1)**2*(5*t - 210613)**2
What is d in 8*d**5 - 502*d**4 - 1158*d**3 - 778*d**2 - 130*d = 0?
-1, -1/4, 0, 65
Suppose a**2/3 + 104*a/3 - 545/3 = 0. What is a?
-109, 5
Factor l**4/3 - 51481*l**3/3 + 294448434*l**2 - 5050378681868*l/3 - 25273983477640/3.
(l - 17162)**3*(l + 5)/3
Factor 5098*u**2/3 - 5090*u/3 - 8/3.
2*(u - 1)*(2549*u + 4)/3
Factor -4*f**3 - 9984*f**2 + 436884*f + 446864.
-4*(f - 44)*(f + 1)*(f + 2539)
Factor -5*u**3 - 405*u**2 + 4910*u - 13800.
-5*(u - 6)*(u - 5)*(u + 92)
Determine j so that 48*j**2/11 + 25482*j/11 - 3186/11 = 0.
-531, 1/8
Factor n**2/7 - 2526*n + 11166183.
(n - 8841)**2/7
Factor -49*h**4/6 + 1162*h**3/3 - 16571*h**2/3 + 22078*h - 53067/2.
-(h - 21)**2*(7*h - 19)**2/6
Determine o, given that 72*o**5 + 2*o**4 - 17356*o**3 - 17762*o**2 + 484*o + 960 = 0.
-15, -1, -1/4, 2/9, 16
Factor -m**2/5 - 1977*m/5 - 46872/5.
-(m + 24)*(m + 1953)/5
Let -4*a**4 + 984*a**3 - 62452*a**2 + 238128*a - 234256 = 0. What is a?
2, 121
Find l, given that 12*l**4 + 1065*l**3 + 20133*l**2 + 14244*l - 4836 = 0.
-62, -26, -1, 1/4
Find d, given that 27*d**3/4 - 15*d**2/2 - 1131*d/4 + 63/2 = 0.
-6, 1/9, 7
Factor 5*t**2/3 + 635*t/3 - 2620/3.
5*(t - 4)*(t + 131)/3
Suppose f**4/2 - 3*f**3/2 - 49*f**2/2 + 267*f/2 - 180 = 0. Calculate f.
-8, 3, 5
Factor -2*r**2 + 281136*r - 9879681312.
-2*(r - 70284)**2
Find w, given that 5*w**5 + 850*w**4 + 6430*w**3 - 8140*w**2 - 6435*w + 7290 = 0.
-162, -9, -1, 1
Factor 3*y**3/5 + 22251*y**2/5 - 1028307*y/5 + 11843781/5.
3*(y - 23)**2*(y + 7463)/5
Determine a so that 2*a**2 - 384556*a + 18485414642 = 0.
96139
Determine a so that 2*a**5 + 1346*a**4 + 13332*a**3 + 47848*a**2 + 74320*a + 42432 = 0.
-663, -4, -2
Suppose -500*s**5/3 + 4075*s**4 - 47965*s**3/3 + 71407*s**2/3 - 14161*s + 6860/3 = 0. Calculate s.
1/4, 7/5, 20
Solve -h**3/3 + 19*h**2 + 25*h/3 - 475 = 0 for h.
-5, 5, 57
Factor -2*q**2/3 + 62792*q/3 - 20930.
-2*(q - 31395)*(q - 1)/3
Factor -3*c**5/7 + 717*c**4/7 - 603*c**3 + 6291*c**2/7.
-3*c**2*(c - 233)*(c - 3)**2/7
Factor -o**4/3 - 24*o**3 + 243*o**2.
-o**2*(o - 9)*(o + 81)/3
What is r in -2*r**2/19 + 2172*r/19 + 51014/19 = 0?
-23, 1109
Factor 3*d**4/4 - 25*d**3/4 + 14*d**2 - 4*d.
d*(d - 4)**2*(3*d - 1)/4
Determine o so that -3*o**5 - 2340*o**4 - 121968*o**3 - 1700538*o**2 - 1346301*o + 3171150 = 0.
-725, -27, -2, 1
Factor -y**3 - 24740*y**2 - 152967408*y + 612265536.
-(y - 4)*(y + 12372)**2
Suppose -f**4/2 - 1112*f**3/3 + 6699*f**2 - 12532*f/3 - 4301/2 = 0. What is f?
-759, -1/3, 1, 17
Factor -c**3/3 + 70*c**2 + 213*c.
-c*(c - 213)*(c + 3)/3
Find a, given that 5*a**4 + 1465*a**3 - 115160*a**2 + 1964180*a + 2080800 = 0.
-360, -1, 34
Factor -8*b**5/21 - 274*b**4/21 - 110*b**3/7.
-2*b**3*(b + 33)*(4*b + 5)/21
Suppose -4*w**2 + 402924*w - 402920 = 0. What is w?
1, 100730
Solve 165*j**2 + 3820*j + 13015 = 0.
-19, -137/33
Factor 2*v**2/7 - 26572*v + 186002/7.
2*(v - 93001)*(v - 1)/7
Factor 3*c**2/2 - 85983*c + 2464358763/2.
3*(c - 28661)**2/2
Find k, given that 2*k**3/9 - 3740*k**2/9 + 103544*k/9 - 240688/3 = 0.
14, 1842
Find g such that -2*g**4/9 + 16*g**3/3 + 38*g**2/3 - 248*g/9 - 104/3 = 0.
-3, -1, 2, 26
Suppose 6*i**4 - 46366*i**3 - 61840*i**2 + 61832*i = 0. What is i?
-2, 0, 2/3, 7729
Solve 5*d**2 - 995*d - 50610 = 0.
-42, 241
Factor s**2/5 - 157*s/5 + 3612/5.
(s - 129)*(s - 28)/5
Determine z so that -2*z**5/5 + 142*z**4/5 + 9692*z**3/5 + 12220*z**2 - 280530*z + 838350 = 0.
-27, 5, 115
Suppose 33*a**3/7 - 1527*a**2/7 - 2634*a + 3696 = 0. What is a?
-11, 14/11, 56
Suppose -k**3 - 2352*k**2 + 25983*k - 23630 = 0. Calculate k.
-2363, 1, 10
Determine i, given that 3*i**5 + 160*i**4 + 2021*i**3 + 5492*i**2 + 4636*i + 1008 = 0.
-36, -14, -2, -1, -1/3
Solve g**5/4 - 37*g**4/2 + 429*g**3 - 5787*g**2/2 - 13365*g/4 = 0.
-1, 0, 15, 27, 33
Determine x so that -2*x**4 - 7778*x**3 - 23322*x**2 - 23318*x - 7772 = 0.
-3886, -1
Factor 25*h**2 + 142830*h + 28565.
5*(h + 5713)*(5*h + 1)
Find o, given that o**4 - 57*o**3 + 635*o**2 - 1419*o = 0.
0, 3, 11, 43
Find s, given that s**2 + 5483*s - 21948 = 0.
-5487, 4
Factor 4*z**3 - 3096*z**2 + 283232*z.
4*z*(z - 668)*(z - 106)
Determine x so that 2*x**2 - 3998*x + 15960 = 0.
4, 1995
Determine c, given that 5*c**3 + 3780*c**2 + 169920*c = 0.
-708, -48, 0
Find o, given that 3*o**3/4 + 139317*o**2/4 - 139326*o + 139329 = 0.
-46443, 2
Factor i**2/2 - 857*i/2 - 429.
(i - 858)*(i + 1)/2
Determine h so that -3*h**5 - 216*h**4 + 147*h**3 + 291876*h**2 + 5424156*h + 5132640 = 0.
-40, -34, -1, 37
Suppose -2*q**3/5 + 1366*q**2/5 - 1364*q/5 = 0. What is q?
0, 1, 682
Factor -w**4 - 38*w**3 + 5080*w**2 + 10304*w.
-w*(w - 56)*(w + 2)*(w + 92)
Factor 12*x**3 + 102627*x**2 + 219435768*x + 54852528.
3*(x + 4276)**2*(4*x + 1)
Determine y so that 3*y**5 + 210*y**4 + 3453*y**3 - 7986*y**2 - 3456*y + 7776 = 0.
-36, -1, 1, 2
Let 5*d**3/4 + 1493*d**2 + 8353*d/4 + 1193/2 = 0. Calculate d.
-1193, -1, -2/5
Find p, given that 2*p**5/9 - 1570*p**4/9 - 46820*p**3/3 + 145160*p**2/9 + 284048*p/9 = 0.
-82, -1, 0, 2, 866
Find b, given that -2*b**5/3 + 116*b**4/3 - 694*b**3/3 - 1052*b**2/3 + 544*b = 0.
-2, 0, 1, 8, 51
Determine j so that 2*j**2/3 - 54460*j/3 + 54458/3 = 0.
1, 27229
Factor -p**2/9 + 118042*p/9.
-p*(p - 118042)/9
Factor -p**3/2 + 32*p**2 - 185*p/2 + 61.
-(p - 61)*(p - 2)*(p - 1)/2
What is j in 5*j**2 + 520*j + 13275 = 0?
-59, -45
Factor 2*o**2/19 - 6410*o/19 - 6412/19.
2*(o - 3206)*(o + 1)/19
Solve -3*f**2 + 169182*f - 2385212427 = 0.
28197
Let -20577*l**4 - 101802*l**3 - 84132*l**2 - 25272*l - 2592 = 0. Calculate l.
-4, -6/19
Suppose -5*h**4 - 10*h**3 + 15*h**2 = 0. What is h?
-3, 0, 1
Find p, given that -2*p**2 - 313102*p/7 - 134184/7 = 0.
-22364, -3/7
Solve 25*p**4 - 42240*p**3 - 143825*p**2 - 135420*p - 33860 = 0 for p.
-2, -1, -2/5, 1693
Factor -5*a**4 + 255*a**3 - 1995*a**2 - 2255*a.
-5*a*(a - 41)*(a - 11)*(a + 1)
What is a in -3*a**3 + 25*a**2 + 283*a + 255 = 0?
-17/3, -1, 15
Factor 5*b**4 - 1040*b**3 - 15*b**2 + 3110*b + 2080.
5*(b - 208)*(b - 2)*(b + 1)**2
Determine s so that 55*s**3 - 6500*s**2 - 39740*s + 7440 = 0.
-6, 2/11, 124
Determine x, given that 2*x**4/7 - 890*x**3/7 + 10402*x**2 - 238042*x = 0.
0, 49, 347
Factor -3*u**2 - 840948*u - 58932794892.
-3*(u + 140158)**2
Determine t, given that -t**5/6 - 14*t**4/3 + 417*t**3/2 + 663*t**2 = 0.
-51, -3, 0, 26
Find k such that -7*k**2 + 401*k - 1590 = 0.
30/7, 53
Solve 14*u**4/3 + 29608*u**3/3 - 40946*u**2 + 135608*u/3 - 16952/3 = 0 for u.
-2119, 1/7, 2
Factor -2*b**2/11 - 25692*b/11 + 102800/11.
-2*(b - 4)*(b + 12850)/11
Suppose 101*u**2/2 - 605*u/6 - 1/3 = 0. What is u?
-1/303, 2
Solve -p**3/3 - 222*p**2 - 884*p - 2648/3 = 0.
-662, -2
Factor d**4/3 + 171*d**3 + 4905*d**2 + 36225*d.
d*(d + 15)**2*(d + 483)/3
Factor 69*x**3 - 691*x**2 + 1735*x - 25.
(x - 5)**2*(69*x - 1)
Factor 4*h**3 - 820*h**2 - 3344*h.
4*h*(h - 209)*(h + 4)
Find a such that 25*a**3 + 5095*a**2 - 54790*a - 47080 = 0.
-214, -4/5, 11
What is u in -30*u**4 - 4345*u**3 - 12045*u**2 + 101280*u - 119140 = 0?
-851/6, -7, 2
Suppose -9*o**4/8 + 413*o**3/4 - 1445*o**2/8 + 56*o + 45/2 = 0. What is o?
-2/9, 1, 90
Factor 3*o**4/8 - 93*o**3/8 - 4515*o**2/8 + 143325*o/8.
3*o*(o - 35)**2*(o + 39)/8
Factor -2*y**3/9 - 860*y**2/9 + 5246*y/9 + 6104/9.
-2*(y - 7)*(y + 1)*(y + 436)/9
Factor 4*s**2 - 22300*s + 44584.
4*(s - 5573)*(s - 2)
Solve -92*o**2/7 + 291*o/7 - 45/7 = 0 for o.
15/92, 3
Solve 4*y**2 - 22572*y + 67680 = 0 for y.
3, 5640
Factor -4*f**3 + 23848*f**2 + 119324*f + 95472.
-4*(f - 5967)*(f + 1)*(f + 4)
Let 260*l**2 - 20624*l - 14080 = 0. Calculate l.
-44/65, 80
Find y such that 17*y**4/4 - 22*y**3 - 257*y**2/4 + 352*y - 60 = 0.
-4, 3/17, 4, 5
Factor -2*w**4/3 - 224*w**3 - 3310*w**2/3.
-2*w**2*(w + 5)*(w + 331)/3
Suppose l**2/3 + 8798*l/3 + 8797/3 = 0. Calculate l.
-8797, -1
Find g, given that -g**5 - 64*g**4 - 1245*g**3 - 7006*g**2 - 10528*g - 4704 = 0.
-28, -6, -1
Let 3*w**3 - 423*w**2 + 16965*w - 139425 = 0. Calculate w.
11, 65
Let -6*o**2/11 + 2292*o/11 + 4608/11 = 0. What is o?