 6
Suppose 4*i**3 + 1588*i**2 - 428340*i - 173408004 = 0. Calculate i.
-363, 329
Factor 4*a**4/9 + 968*a**3/3 + 238000*a**2/3 + 62081824*a/9 + 215700352/3.
4*(a + 12)*(a + 238)**3/9
Factor 2*w**4/9 + 2122*w**3 - 38212*w**2/3 + 229304*w/9 - 50960/3.
2*(w - 2)**3*(w + 9555)/9
Factor 2*s**3/3 - 1202*s**2/3 + 8300*s/3 + 3168.
2*(s - 594)*(s - 8)*(s + 1)/3
Factor -3*b**2 + 12258*b + 12261.
-3*(b - 4087)*(b + 1)
Let -o**3/3 - 126*o**2 + 760*o/3 = 0. What is o?
-380, 0, 2
Find j, given that 2*j**4/5 - 364*j**3/5 + 14016*j**2/5 - 154368*j/5 = 0.
0, 24, 134
Let o**3/6 - 7*o**2/6 + 2*o = 0. What is o?
0, 3, 4
Factor 5*r**3 + 1455*r**2 - 19650*r + 33440.
5*(r - 11)*(r - 2)*(r + 304)
Suppose -147*z**5/4 + 13293*z**4/4 + 312951*z**3/4 - 1667085*z**2/4 - 257004*z - 37605 = 0. Calculate z.
-23, -2/7, 5, 109
Suppose -12*u**2 - 3555*u - 4425 = 0. Calculate u.
-295, -5/4
Determine w so that -w**2 - 222*w + 448 = 0.
-224, 2
Determine i so that -i**3/4 + 1491*i**2/4 - 10290*i + 71687 = 0.
14, 1463
Suppose p**3 - 688*p**2 + 80849*p - 80162 = 0. What is p?
1, 149, 538
Solve -2*l**3 + 888*l**2 - 2646*l = 0 for l.
0, 3, 441
Find u, given that -39*u**3/7 - 13297*u**2/7 + 27436*u/7 - 196 = 0.
-343, 2/39, 2
Factor n**4 + 364*n**3 + 29622*n**2 - 650164*n + 620177.
(n - 17)*(n - 1)*(n + 191)**2
Determine y so that 2*y**2/7 + 3606*y - 101000/7 = 0.
-12625, 4
Factor -2*j**2 - 2100*j - 6282.
-2*(j + 3)*(j + 1047)
Suppose -a**3/7 - 20145*a**2 + 846117*a/7 - 1269189/7 = 0. What is a?
-141021, 3
Factor -290*y**2 - 874*y/3 - 4/3.
-2*(y + 1)*(435*y + 2)/3
Factor -4*q**2 + 161768*q - 1132180.
-4*(q - 40435)*(q - 7)
Factor 3*p**2/7 + 458637*p/7 + 458634/7.
3*(p + 1)*(p + 152878)/7
Let 3*a**3/4 - 405*a**2/2 + 22275*a/4 - 40500 = 0. Calculate a.
15, 240
Factor 3*h**2/2 + 14223*h + 67431243/2.
3*(h + 4741)**2/2
Factor -2*n**2 - 26*n - 44.
-2*(n + 2)*(n + 11)
Solve -2*w**5/5 - 218*w**4/5 + 224*w**3/5 + 88*w**2 = 0.
-110, -1, 0, 2
Determine g so that -18*g**4 + 470*g**3 + 1754*g**2 - 6854*g - 8120 = 0.
-5, -1, 28/9, 29
Determine h so that 5*h**3 - 11595*h**2 + 126990*h - 115400 = 0.
1, 10, 2308
Find n, given that n**5/6 + 2*n**4/3 - 9*n**3/2 - 27*n**2 - 36*n = 0.
-4, -3, 0, 6
Factor -3*w**3 + 702*w**2 - 13419*w.
-3*w*(w - 213)*(w - 21)
Determine c, given that c**4/6 + 152*c**3/3 + 13007*c**2/6 - 853154*c/3 - 871310 = 0.
-178, -3, 55
Factor -3*l**2 - 11448*l - 10921392.
-3*(l + 1908)**2
Find z such that -2*z**4/3 - 106*z**3 + 1306*z**2/3 + 106*z - 1304/3 = 0.
-163, -1, 1, 4
Factor 5*v**3 - 626485*v**2 - 5*v + 626485.
5*(v - 125297)*(v - 1)*(v + 1)
Let -2*c**3/11 + 1128*c**2/11 + 27158*c/11 - 91572/11 = 0. What is c?
-26, 3, 587
What is d in -325*d**2 - 6945*d - 35360 = 0?
-13, -544/65
Suppose i**5/3 - 25*i**4/3 + 95*i**3/3 + 565*i**2/3 - 32*i - 180 = 0. What is i?
-3, -1, 1, 10, 18
Factor u**3/9 + 3320*u**2/9 - 117425*u/9.
u*(u - 35)*(u + 3355)/9
Factor i**4 + 113*i**3 - i**2 - 113*i.
i*(i - 1)*(i + 1)*(i + 113)
Solve a**5/5 - 10*a**4 + 273*a**3/5 - 396*a**2/5 = 0.
0, 3, 44
Factor -t**3/8 - 661*t**2/8 - 978*t - 5841/2.
-(t + 6)**2*(t + 649)/8
Determine q, given that -3*q**3 - 291*q**2 - 9048*q - 91260 = 0.
-45, -26
Solve -5*u**3 - 150*u**2 + 215*u + 1860 = 0.
-31, -3, 4
Factor d**2/5 - 730827*d/5 - 730828/5.
(d - 730828)*(d + 1)/5
Suppose 2*d**4/9 - 191440*d**3/9 + 678576768*d**2 - 64899049413632*d/9 - 1039949015760896/9 = 0. What is d?
-16, 31912
Factor o**4/2 - 5*o**3/2 - 39*o**2/2 + 9*o/2 + 81.
(o - 9)*(o - 2)*(o + 3)**2/2
Find f such that -2*f**4 - 208*f**3 - 554*f**2 + 266340*f - 1980576 = 0.
-69, 8, 26
Let 3*n**2/7 - 2565*n/7 - 2586 = 0. What is n?
-7, 862
Determine j, given that -21520321*j**2/4 - 519568*j - 12544 = 0.
-224/4639
Factor -3*s**2/4 + 2814*s + 420579/4.
-3*(s - 3789)*(s + 37)/4
Factor 4*n**2 - 121136*n + 363372.
4*(n - 30281)*(n - 3)
Determine z, given that -20*z**2 - 352955*z + 88240 = 0.
-17648, 1/4
Find w, given that w**4 - 1358*w**3 + 428124*w**2 + 22803768*w - 47309184 = 0.
-48, 2, 702
What is q in -2*q**4/3 + 250*q**3 - 24296*q**2 + 482816*q/3 - 270848 = 0?
3, 4, 184
Suppose 3*q**5/5 + 162*q**4/5 + 168*q**3 - 234*q**2 - 843*q/5 + 1008/5 = 0. What is q?
-48, -7, -1, 1
Factor 3*m**4/4 + 99*m**3/2 + 420*m**2.
3*m**2*(m + 10)*(m + 56)/4
Suppose -x**4/3 - 1577*x**3/3 + 12667*x**2/3 - 20599*x/3 + 3170 = 0. What is x?
-1585, 1, 6
What is l in 4*l**3 - 4028*l**2 + 19984*l + 56112 = 0?
-2, 7, 1002
Factor -3*b**2 - 866136*b - 62515964208.
-3*(b + 144356)**2
Factor -2*v**4 - 62*v**3 + 270*v**2 - 346*v + 140.
-2*(v - 2)*(v - 1)**2*(v + 35)
Solve -2*h**5/5 - 296*h**4 - 21716*h**3/5 + 4936*h**2 + 21718*h/5 - 4640 = 0 for h.
-725, -16, -1, 1
Suppose 2369*d**3/2 - 4739*d**2/2 - 9475*d + 4 = 0. What is d?
-2, 1/2369, 4
Solve -y**3 + 473*y**2 - 64600*y + 2730000 = 0.
100, 273
Factor 4*a**3 - 13540*a**2 - 54208*a - 54224.
4*(a - 3389)*(a + 2)**2
Factor -u**2/6 + 3125*u/3.
-u*(u - 6250)/6
Find k such that 3*k**2 + 12*k - 1188 = 0.
-22, 18
Factor 4*h**2 - 22100*h.
4*h*(h - 5525)
Let 2*r**5/11 + 46*r**4/11 - 404*r**3/11 + 512*r**2/11 + 960*r/11 = 0. What is r?
-30, -1, 0, 4
Factor -v**3/3 + 89*v**2/3 - 88*v/3.
-v*(v - 88)*(v - 1)/3
Factor -2*y**2/5 + 3774*y/5.
-2*y*(y - 1887)/5
Suppose 35*c**3 - 2410*c**2/3 + 13595*c/3 - 1230 = 0. What is c?
2/7, 9, 41/3
Let 4*v**3 - 659532*v**2 + 27186073920*v + 27186733456 = 0. What is v?
-1, 82442
Determine b, given that -3*b**4 - 1322*b**3 + 3103*b**2 + 878*b - 3544 = 0.
-443, -1, 4/3, 2
Let -p**3/2 + 62915*p**2/2 - 94369*p + 62912 = 0. Calculate p.
1, 2, 62912
Factor -3*a**3 + 16026*a**2 + 64140*a + 64152.
-3*(a - 5346)*(a + 2)**2
Factor -2*t**3/7 + 54800*t**2/7 - 53633542*t + 107235772.
-2*(t - 13699)**2*(t - 2)/7
Let -c**2/3 - 1226*c/3 + 409 = 0. What is c?
-1227, 1
Solve 2*l**2/7 + 12772*l/7 - 527014/7 = 0.
-6427, 41
Find b such that 2*b**2/13 - 1894044*b/13 + 448425334242/13 = 0.
473511
Suppose -4*s**4 - 244*s**3 + 17400*s**2 - 240944*s + 414304 = 0. What is s?
-107, 2, 22
Suppose v**4/2 + 49*v**3 - 852*v**2 - 22016*v - 98560 = 0. Calculate v.
-110, -8, 28
Suppose -d**2 - 2021*d - 16104 = 0. Calculate d.
-2013, -8
Let -6*z**2 - 347013*z - 347007 = 0. What is z?
-115669/2, -1
Solve -6*o**2/5 - 2256*o/5 + 2262/5 = 0 for o.
-377, 1
Let s**4 - 12026*s**3 + 12020*s**2 + 60122*s + 36075 = 0. What is s?
-1, 3, 12025
Factor -3*k**3/7 - 594*k**2/7 + 603*k/7 + 1194/7.
-3*(k - 2)*(k + 1)*(k + 199)/7
Factor l**2/5 - 3431*l/5 - 3436.
(l - 3436)*(l + 5)/5
Find h, given that 2*h**2/3 - 408*h - 2456/3 = 0.
-2, 614
Factor -2*j**4/7 - 15864*j**3/7 - 41768460*j**2/7 - 36034615800*j/7 + 1235200650750/7.
-2*(j - 33)*(j + 2655)**3/7
Suppose w**2 - 646690*w + 104551989025 = 0. What is w?
323345
Let -34*l**5 + 786*l**4 - 3764*l**3 - 14256*l**2 + 60480*l - 6912 = 0. Calculate l.
-4, 2/17, 3, 12
Solve -k**5/4 + 25*k**4/4 - 137*k**3/4 - 337*k**2/4 + 1125*k/2 - 450 = 0.
-4, 1, 3, 10, 15
Factor 3*d**2/8 + 33*d/2 - 225/2.
3*(d - 6)*(d + 50)/8
Find j, given that j**3 + 2305*j**2 - 184353*j + 3624543 = 0.
-2383, 39
Factor -2*q**3/11 - 1088700*q**2/11 - 148158461250*q/11.
-2*q*(q + 272175)**2/11
Solve 4*x**4 - 48868*x**3 + 149181760*x**2 + 447985200*x = 0.
-3, 0, 6110
Factor 39*f**3 + 146*f**2 - 39*f - 146.
(f - 1)*(f + 1)*(39*f + 146)
Factor -c**2/4 + 863200*c - 745114240000.
-(c - 1726400)**2/4
Determine h so that 4*h**3 - 260*h**2 - 272*h + 528 = 0.
-2, 1, 66
Factor 268*z**3 - 4562*z**2 + 4390*z - 96.
2*(z - 16)*(z - 1)*(134*z - 3)
Factor g**2/7 + 569*g/7.
g*(g + 569)/7
Factor -c**4/2 + 300*c**2 - 4000*c + 15000.
-(c - 10)**3*(c + 30)/2
Find l such that 2*l**4 + 1097*l**3/3 + 1023*l**2 + 1618*l/3 - 120 = 0.
-180, -2, -1, 1/6
Determine r, given that -r**3/2 + 613*r**2/2 - 24133*r - 24440 = 0.
-1, 94, 520
Find u such that 13*u**4 + 873*u**3 + 121*u**2 - 873*u - 134 = 0.
-67, -1, -2/13, 1
Let -h**4/3 + 620*h**3/3 - 34012*h**2 + 5143936*h/3 - 9884672/3 = 0. What is h?
2, 112, 394
Find a, given that -18*a**2 + 32781*a - 5463 = 0.
1/6, 1821
Factor -2*c**2/7 + 114424*c/7 - 1636606472/7.
-2*(c - 28606)**2/7
Determine f, given that 3*f**4/4 + 183*f**3/4 - 1953*f**2/4 - 4443*f/4 - 1155/2 = 0.
-70, -1, 11
Suppose 2*t**4/11 - 166906*t**3/11 + 3482285056*t**2/11 - 3482118152*t/11 = 0. Calculate t.
0, 1, 41726
What is n in 2*n**3/7 + 32*n**2 - 34*n - 1356/7 = 0?
-113, -2, 3
Facto