0.
-175, 22
Solve 2*t**5/7 - 48*t**4/7 - 2556*t**3/7 + 5248*t**2/7 - 378*t = 0.
-27, 0, 1, 49
Find b, given that 3*b**4 + 2100*b**3 + 92070*b**2 - 2100*b - 92073 = 0.
-653, -47, -1, 1
Factor s**3 - 15*s**2 - 913*s - 6273.
(s - 41)*(s + 9)*(s + 17)
Factor 3*z**2/4 - 387*z - 136983/4.
3*(z - 593)*(z + 77)/4
Factor 49*i**3/5 + 3304*i**2/5 + 70928*i/5 + 492032/5.
(i + 32)*(7*i + 124)**2/5
Suppose -c**2/3 + 388*c/3 + 3735 = 0. Calculate c.
-27, 415
Factor -3*y**2 + 240*y + 747.
-3*(y - 83)*(y + 3)
Factor j**2/4 + 537*j/4 + 7843/2.
(j + 31)*(j + 506)/4
Factor 5*u**4 - 45*u**3 - 7530*u**2 - 7480*u.
5*u*(u - 44)*(u + 1)*(u + 34)
Factor -461*r**2/3 + 3235*r/3 - 56/3.
-(r - 7)*(461*r - 8)/3
Find k such that 14*k**4 - 52704*k**3 + 347319344*k**2/7 - 198377856*k/7 + 28335392/7 = 0.
2/7, 1882
Determine v, given that -4*v**5 - 64*v**4 + 292*v**3 + 1264*v**2 + 912*v = 0.
-19, -2, -1, 0, 6
Factor -z**3/4 + 107*z**2/2 - 3931*z/4 + 4947/2.
-(z - 194)*(z - 17)*(z - 3)/4
Determine x so that 2*x**2 + 81162*x + 568036 = 0.
-40574, -7
Solve 4*p**2 + 844*p + 21720 = 0 for p.
-181, -30
Factor -2*i**2/17 + 6860*i/17 + 151888/17.
-2*(i - 3452)*(i + 22)/17
Factor 5*f**3 - 170*f**2 - 10235*f + 10400.
5*(f - 65)*(f - 1)*(f + 32)
Determine i, given that -i**4/4 + 188*i**3 - 35717*i**2 + 139876*i = 0.
0, 4, 374
Factor -2*w**4 + 1055948*w**3 - 139377216386*w**2 - 278757600624*w - 139379328288.
-2*(w - 263988)**2*(w + 1)**2
Solve -3*j**2 + 43636*j + 29092 = 0 for j.
-2/3, 14546
Let 2*q**4/7 + 211896*q**3/7 - 635702*q**2/7 + 423804*q/7 = 0. What is q?
-105951, 0, 1, 2
Factor 3*m**3 - 24735*m**2 + 3418800*m - 119143500.
3*(m - 8105)*(m - 70)**2
Factor -4*o**2/9 - 12092*o - 108824/9.
-4*(o + 1)*(o + 27206)/9
Solve 3*m**5 + 159*m**4 - 3546*m**3 - 213096*m**2 - 201696*m + 418176 = 0 for m.
-44, -2, 1, 36
Find f such that f**5/4 + 173*f**4/4 - 357*f**3 + 901*f**2 - 724*f = 0.
-181, 0, 2, 4
Suppose -3*y**5 + 64*y**4 + 138*y**3 - 548*y**2 + 441*y - 92 = 0. What is y?
-4, 1/3, 1, 23
Factor -2*y**2/7 + 116260*y/7 - 1689548450/7.
-2*(y - 29065)**2/7
Factor 4*v**2 + 2820*v + 35984.
4*(v + 13)*(v + 692)
Factor -3*r**2 - 51194*r - 34128.
-(r + 17064)*(3*r + 2)
Factor -10*b**2/11 - 414*b/11 - 3420/11.
-2*(b + 30)*(5*b + 57)/11
Factor 2*k**2 - 1324*k - 48790.
2*(k - 697)*(k + 35)
Suppose -2*c**4 + 1152*c**3 - 217148*c**2 + 14762880*c - 328448450 = 0. Calculate c.
55, 233
Solve -274*u**5/7 - 2182*u**4/7 + 25836*u**3/7 - 44780*u**2/7 + 22150*u/7 - 750/7 = 0 for u.
-15, 5/137, 1, 5
Factor -3*w**2/2 + 1800909*w/2 - 900453.
-3*(w - 600302)*(w - 1)/2
Solve j**5/3 - 12788*j**4/3 - 4263*j**3 = 0 for j.
-1, 0, 12789
Let -u**5/8 + 26*u**4 - 687*u**3/2 + 760*u**2 + 3104*u = 0. What is u?
-2, 0, 8, 194
Solve -4*f**5 - 288*f**4 - 1188*f**3 + 27432*f**2 + 73872*f - 769824 = 0.
-66, -9, 6
Determine l so that 4*l**3 - 180*l**2 - 7672*l - 7488 = 0.
-26, -1, 72
Find l, given that 10*l**5/7 + 548*l**4/7 + 7676*l**3/7 + 3376*l**2/7 - 32022*l/7 + 2916 = 0.
-27, -14/5, 1
Suppose 2*f**2/15 - 256168*f/15 + 8202755528/15 = 0. What is f?
64042
Find w, given that -2*w**2/9 - 113284*w/9 - 1604158082/9 = 0.
-28321
Find z such that -2*z**2/3 + 311176*z/3 - 12103812872/3 = 0.
77794
Factor 5*x**3 + 206425*x**2 + 2130667240*x + 2130460820.
5*(x + 1)*(x + 20642)**2
Find y such that -58*y**4 + 112*y**3 + 1168*y**2 + 1472*y + 96 = 0.
-2, -2/29, 6
What is o in 4*o**4 + 383480*o**3 + 12254998176*o**2 + 130556579545728*o + 261064142166528 = 0?
-31956, -2
Factor -36*k**2 + 19612*k + 4360.
-4*(k - 545)*(9*k + 2)
Let j**3 + 19*j**2 - 90*j - 1008 = 0. What is j?
-21, -6, 8
Solve -237*g**2 - 40*g = 0 for g.
-40/237, 0
Suppose -4*i**2/7 + 112*i - 1456 = 0. What is i?
14, 182
Factor 2*v**4/11 + 4368*v**3/11 + 2389292*v**2/11 + 4765488*v/11 + 2380562/11.
2*(v + 1)**2*(v + 1091)**2/11
What is a in -2*a**3/9 - 72856*a**2/9 - 663426730*a/9 + 1327144900/9 = 0?
-18215, 2
Determine x so that 2*x**2/5 - 6*x - 108/5 = 0.
-3, 18
Factor -2*x**3 + 226*x**2 - 7872*x + 78336.
-2*(x - 48)**2*(x - 17)
Factor 3*q**2/2 + 899313*q + 269587957323/2.
3*(q + 299771)**2/2
Suppose 3*b**2 + 795*b = 0. What is b?
-265, 0
Factor 32*q**3 - 348*q**2 - 1532*q + 1848.
4*(q - 14)*(q - 1)*(8*q + 33)
Find p such that -2*p**4/3 + 40*p**3 + 3170*p**2/3 + 6200*p + 5184 = 0.
-12, -8, -1, 81
Factor -2*c**2/9 - 4706*c/9 - 4700/3.
-2*(c + 3)*(c + 2350)/9
Suppose 5*h**3 + 237220*h**2 - 948940*h + 948960 = 0. What is h?
-47448, 2
Factor -w**3/3 + 780*w**2 - 1559*w + 2338/3.
-(w - 2338)*(w - 1)**2/3
Factor -95*m**2 - 287290*m - 30240.
-5*(m + 3024)*(19*m + 2)
Let -x**5/2 + 333*x**4/2 - 17552*x**3 + 547260*x**2 + 2405032*x + 2477928 = 0. Calculate x.
-2, 69, 134
Factor 4*u**3 - 23548*u**2 + 34668540*u - 34644996.
4*(u - 2943)**2*(u - 1)
Factor 2*n**4/7 + 916*n**3/7 + 106698*n**2/7 + 415864*n/7 + 412232/7.
2*(n + 2)**2*(n + 227)**2/7
Determine j, given that 6*j**4 + 526*j**3/3 + 1556*j**2/3 + 1256*j/3 + 208/3 = 0.
-26, -2, -1, -2/9
Let -16*c**2 - 366*c - 1404 = 0. Calculate c.
-18, -39/8
Let -2*r**5/23 - 20862*r**4/23 - 72516304*r**3/23 - 83925447728*r**2/23 + 252284270304*r/23 - 168286285408/23 = 0. Calculate r.
-3478, 1, 2
Factor -2*z**2/3 + 29228*z/3.
-2*z*(z - 14614)/3
Solve 2*l**2/3 + 98972*l/3 + 32990 = 0 for l.
-49485, -1
Factor 4*l**4 + 2244*l**3 - 29644*l**2 + 116844*l - 144648.
4*(l - 7)*(l - 3)**2*(l + 574)
Let 75*x**4/4 - 755*x**3/2 + 7047*x**2/4 + 1482*x - 676 = 0. What is x?
-1, 1/3, 52/5
Determine z so that -5*z**2 + 7531900*z - 2836475880500 = 0.
753190
Factor c**4/3 + 9576*c**3 + 68774832*c**2.
c**2*(c + 14364)**2/3
Let -c**3/8 - 63*c**2/4 + 1975*c/8 + 525/2 = 0. What is c?
-140, -1, 15
Determine v, given that 5*v**2 - 870545*v - 1741110 = 0.
-2, 174111
Find v such that 2*v**3/3 + 1948*v**2/3 = 0.
-974, 0
Factor -z**2/2 + 1519*z + 3040.
-(z - 3040)*(z + 2)/2
Solve -5*z**5 + 2695*z**4 - 364475*z**3 + 351025*z**2 + 1457980*z - 1447220 = 0 for z.
-2, 1, 2, 269
Factor 63*n**3 - 1128*n**2 + 3987*n + 390.
3*(n - 13)*(n - 5)*(21*n + 2)
Let -b**3 + 860012*b**2 + b - 860012 = 0. Calculate b.
-1, 1, 860012
Factor 3*k**3/5 + 513*k**2/5 - 2658*k/5 - 3168/5.
3*(k - 6)*(k + 1)*(k + 176)/5
Find m such that 120*m**3 - 3365*m**2 + 140*m = 0.
0, 1/24, 28
Factor f**2 + 123234*f + 3796654689.
(f + 61617)**2
Factor 8*p**2/23 + 51722*p/23 + 12930/23.
2*(p + 6465)*(4*p + 1)/23
Determine r so that r**2/4 + 683*r + 2731/4 = 0.
-2731, -1
Determine d, given that -2*d**3 + 434*d**2 - 830*d - 6450 = 0.
-3, 5, 215
Factor l**3 - 5*l**2 - 12*l + 36.
(l - 6)*(l - 2)*(l + 3)
Factor -2*n**3 + 186*n**2 - 2980*n - 3168.
-2*(n - 72)*(n - 22)*(n + 1)
Factor -v**2/5 - 226*v/5 + 19631/5.
-(v - 67)*(v + 293)/5
Find v, given that -1676*v**4/5 + 152548*v**3/5 - 3395136*v**2/5 - 3481648*v/5 + 67712/5 = 0.
-1, 8/419, 46
Factor -9*y**3/4 + 457*y**2/4 - 195*y - 49.
-(y - 49)*(y - 2)*(9*y + 2)/4
Factor t**4 - 102*t**3 + 1453*t**2 - 6720*t + 8428.
(t - 86)*(t - 7)**2*(t - 2)
Let t**4 + 207*t**3 - 12404*t**2 + 35748*t - 23552 = 0. What is t?
-256, 1, 2, 46
Factor 2*n**3/3 - 620*n**2/3 + 1846*n/3 - 1228/3.
2*(n - 307)*(n - 2)*(n - 1)/3
Factor 5*c**4 - 101865*c**3 - 203750*c**2.
5*c**2*(c - 20375)*(c + 2)
What is s in s**3 + 761972*s**2 + 145149570221*s - 290302188338 = 0?
-380987, 2
Factor k**2/4 + 3641*k + 7281.
(k + 2)*(k + 14562)/4
What is o in -11*o**2/5 + 9666*o/5 + 2464 = 0?
-14/11, 880
Determine z so that -z**3/2 + 7443*z**2/2 - 133731*z/2 + 601425/2 = 0.
9, 7425
Let -2*c**2/7 + 234*c/7 - 6700/7 = 0. Calculate c.
50, 67
Find t, given that -t**2/4 + 12937*t/4 - 38793/2 = 0.
6, 12931
Let -35*t**5 + 150*t**4 + 1640*t**3 - 5520*t**2 - 13680*t + 4320 = 0. Calculate t.
-6, -2, 2/7, 6
Solve 2*d**4/3 + 242*d**3/9 + 2566*d**2/9 + 6430*d/9 - 5500/9 = 0.
-25, -11, -5, 2/3
Factor f**4/4 + 29638*f**3 + 1756169931*f**2/2 - 19328629166*f + 425308752649/4.
(f - 11)**2*(f + 59287)**2/4
Determine v so that 2*v**5/7 - 202*v**4/7 - 836*v**3/7 - 428*v**2/7 + 834*v/7 + 90 = 0.
-3, -1, 1, 105
Suppose 3*p**4/5 + 83409*p**3/5 + 333597*p**2/5 + 250191*p/5 = 0. What is p?
-27799, -3, -1, 0
Suppose 5*x**2 + 64250*x + 128480 = 0. Calculate x.
-12848, -2
Suppose 3*b**3/8 + 3*b**2/4 - 3960*b - 159300 = 0. What is b?
-60, 118
Determine p, given that 4*p**5 - 1340*p**4 + 34572*p**3 - 57172*p**2 - 167632*p + 191568 = 0.
-2, 1, 3, 26, 307
