*2/7 = 0.
-23, 0, 708
Determine t, given that -1600*t**4 + 11160*t**3 + 52319*t**2/4 + 1287*t/4 + 2 = 0.
-1, -1/80, 8
Factor a**3/3 - 27*a**2 - 361*a/3 + 595.
(a - 85)*(a - 3)*(a + 7)/3
Factor 4*o**2 + 1276544*o + 1276540.
4*(o + 1)*(o + 319135)
Suppose -2*r**5 + 12676*r**4 - 50678*r**3 + 37996*r**2 + 50680*r - 50672 = 0. What is r?
-1, 1, 2, 6334
Factor 3*a**4/7 + 228*a**3/7 + 207*a**2/7 - 1350*a/7.
3*a*(a - 2)*(a + 3)*(a + 75)/7
Factor i**2 + 3448*i + 6892.
(i + 2)*(i + 3446)
Determine s, given that 5*s**2 - 4406240*s + 4406235 = 0.
1, 881247
Factor 4*q**2 + 2536*q - 7644.
4*(q - 3)*(q + 637)
Determine s so that 5*s**2 + 132300*s = 0.
-26460, 0
Suppose 5*p**5/4 + 28745*p**4 + 114965*p**3/4 - 114975*p**2/2 = 0. What is p?
-22995, -2, 0, 1
Find m such that -40*m**5 - 1572*m**4 - 18188*m**3 - 23916*m**2 + 462420*m + 140400 = 0.
-15, -13, -3/10, 4
Determine z, given that -4*z**3/9 + 23696*z**2/9 + 904780*z/9 + 8609128/9 = 0.
-19, 5962
Factor -7*l**3/3 + 8504*l**2 - 7750788*l + 13278736/3.
-(l - 1822)**2*(7*l - 4)/3
Factor -17508*f**3 - 770351*f**2/2 - 2118457*f + 121/2.
-(f + 11)**2*(35016*f - 1)/2
Determine x so that 5*x**5/2 - 105*x**4 - 1110*x**3 - 1975*x**2 + 6375*x/2 = 0.
-5, 0, 1, 51
Factor 5*r**2/3 + 2430*r + 21735.
5*(r + 9)*(r + 1449)/3
Suppose -2*b**5/19 - 2*b**4 + 66*b**3/19 + 470*b**2/19 - 976*b/19 + 480/19 = 0. What is b?
-20, -4, 1, 3
Factor -n**3 + 7755*n**2 + 7758*n - 15512.
-(n - 7756)*(n - 1)*(n + 2)
Suppose -24084*x**4 - 1806304*x**3 - 45157800*x**2 - 376320000*x - 62500 = 0. Calculate x.
-25, -1/6021
Factor w**2/5 - 2317*w/5 - 157278/5.
(w - 2383)*(w + 66)/5
Determine x, given that -2*x**5/5 - 166*x**4/5 - 1744*x**3/5 - 568*x**2 = 0.
-71, -10, -2, 0
Determine w so that -4*w**3 - 1352*w**2 - 64480*w + 134400 = 0.
-280, -60, 2
Let y**2/7 - 1877*y/7 = 0. What is y?
0, 1877
Determine q so that 5*q**3 - 6305*q**2 - 334560*q = 0.
-51, 0, 1312
Factor -2*y**2 - 7732*y - 245376.
-2*(y + 32)*(y + 3834)
Factor 2*h**2/7 - 12870*h/7 - 258200/7.
2*(h - 6455)*(h + 20)/7
Solve a**4/5 + 174*a**3/5 - 2963*a**2/5 + 14532*a/5 - 3724 = 0.
-190, 2, 7
Let 2*d**2/17 - 15278*d/17 + 137340/17 = 0. Calculate d.
9, 7630
Factor -45*p**2/2 + 1885*p/4 + 105/4.
-5*(p - 21)*(18*p + 1)/4
What is h in -4*h**2 - 7800*h + 759996 = 0?
-2043, 93
Factor 2*r**3 + 2322*r**2 - 16332*r + 23360.
2*(r - 5)*(r - 2)*(r + 1168)
Suppose -2*x**3/5 + 22*x**2 + 1800*x = 0. Calculate x.
-45, 0, 100
Factor -h**2/4 - 9613*h/4 + 7212.
-(h - 3)*(h + 9616)/4
Factor -2*a**5 + 24412*a**4 - 74517626*a**3 + 148962024*a**2 - 74468808*a.
-2*a*(a - 6102)**2*(a - 1)**2
Factor 3*f**3/5 + 38466*f**2/5 + 122685003*f/5 - 3965407584/5.
3*(f - 32)*(f + 6427)**2/5
Factor 5*k**2 - 4905*k - 59580.
5*(k - 993)*(k + 12)
Factor 2015*k**2 - 487640*k + 2420.
5*(k - 242)*(403*k - 2)
Suppose 15*b**5 - 440*b**4 + 3060*b**3 + 2690*b**2 - 3075*b - 2250 = 0. Calculate b.
-1, -2/3, 1, 15
Suppose -2*y**4/9 - 4162*y**3/9 - 711220*y**2/3 + 33091648*y/9 + 74684672/9 = 0. Calculate y.
-1048, -2, 17
What is n in -2*n**2/9 - 58414*n/3 - 175240/9 = 0?
-87620, -1
Factor i**2/3 + 201*i - 77608/3.
(i - 109)*(i + 712)/3
Factor 4*r**3 + 507704*r**2.
4*r**2*(r + 126926)
Solve -4*x**3 + 6092*x**2 + 4*x - 6092 = 0 for x.
-1, 1, 1523
Factor 12*p**3/7 - 849*p**2/7 - 8853*p/7 - 2160/7.
3*(p - 80)*(p + 9)*(4*p + 1)/7
Suppose h**5 - 10653*h**4 + 42600*h**3 - 42596*h**2 = 0. Calculate h.
0, 2, 10649
Solve -96*s**5/7 + 969*s**4/7 + 1062*s**3/7 - 1068*s**2/7 - 138*s + 99/7 = 0 for s.
-1, 3/32, 1, 11
Let -65*c**5 - 2980*c**4 - 25215*c**3 - 18800*c**2 + 3500*c = 0. Calculate c.
-35, -10, -1, 0, 2/13
Find n, given that -2*n**4/13 - 48*n**3/13 - 96*n**2/13 + 1280*n/13 = 0.
-20, -8, 0, 4
Factor -2*z**3/7 + 62*z**2 - 11670*z/7 + 84150/7.
-2*(z - 187)*(z - 15)**2/7
Factor 4*k**2/3 - 142472*k/3.
4*k*(k - 35618)/3
Let 4*w**5 + 1024*w**4 + 38260*w**3 - 79608*w**2 + 40320*w = 0. What is w?
-210, -48, 0, 1
Factor -361*k**3/4 - 5533389*k**2 + 1164927*k - 61312.
-(k + 61312)*(19*k - 2)**2/4
Solve 538*i**3/7 - 3532*i**2 + 283498*i/7 + 12696/7 = 0.
-12/269, 23
Solve -i**3 + 44*i**2 - 229*i - 1110 = 0.
-3, 10, 37
Factor -2*p**3/17 + 30*p**2/17 + 32*p/17 - 480/17.
-2*(p - 15)*(p - 4)*(p + 4)/17
Factor 2*l**2 + 246*l - 4760.
2*(l - 17)*(l + 140)
Let -2*c**3/5 - 14*c**2/5 + 148*c - 800 = 0. Calculate c.
-25, 8, 10
Determine p so that -p**2 + 1728*p - 1727 = 0.
1, 1727
Solve l**4/4 - 9*l**3/4 - 261*l**2/4 - 1319*l/4 - 483 = 0 for l.
-7, -4, -3, 23
Factor 2*b**3/9 + 446*b**2/9 + 192*b - 584.
2*(b - 2)*(b + 6)*(b + 219)/9
Find l such that -432*l**4 + 11736*l**3 - 112899*l**2 + 436926*l - 509232 = 0.
2, 8, 103/12
Find f such that 97682*f**3/5 - 4592822*f**2/5 + 83104*f/5 - 376/5 = 0.
2/221, 47
Factor 9*v**3 + 7368*v**2 - 24651*v + 7398.
3*(v - 3)*(v + 822)*(3*v - 1)
Factor -2*g**3 - 100*g**2 - 1182*g - 1980.
-2*(g + 2)*(g + 15)*(g + 33)
Suppose 2*j**2/5 + 305836*j + 58459786810 = 0. What is j?
-382295
Solve -3*x**3 + 403*x**2/3 - 1689*x + 6507 = 0 for x.
9, 241/9
Factor 2*r**3/9 + 3652*r**2/9 - 7312*r/9.
2*r*(r - 2)*(r + 1828)/9
Let -y**4/3 - 4365*y**3 - 26186*y**2/3 = 0. What is y?
-13093, -2, 0
Solve -3*t**4 - 939*t**3 - 33693*t**2 - 64581*t - 31824 = 0 for t.
-272, -39, -1
Factor 2*o**2/17 + 13376*o/17 - 13378/17.
2*(o - 1)*(o + 6689)/17
Factor 572450*d**3 + 292110*d**2 + 74529*d/2.
d*(1070*d + 273)**2/2
Determine r so that -2*r**2/11 - 8540*r/11 + 8542/11 = 0.
-4271, 1
Factor 2*n**2/5 + 30646*n/5 - 12260.
2*(n - 2)*(n + 15325)/5
Factor 2*g**5 - 1538*g**4 + 6120*g**3.
2*g**3*(g - 765)*(g - 4)
Factor 2*b**3 + 192*b**2 + 2394*b + 8036.
2*(b + 7)**2*(b + 82)
Find a such that 3*a**5/8 + 15*a**4/2 - 765*a**3/8 - 10125*a**2/4 - 31995*a/2 - 32319 = 0.
-21, -6, 19
Determine q, given that -44*q**4 + 27376*q**3 - 32212*q**2 - 49696*q + 9936 = 0.
-1, 2/11, 2, 621
Determine z, given that 22*z**4/9 - 17816*z**3/9 + 1264448*z**2/3 - 74443936*z/9 - 13660768/9 = 0.
-2/11, 22, 394
Factor -j**3/2 + 29*j**2/2 - 13*j - 28.
-(j - 28)*(j - 2)*(j + 1)/2
Let -5*y**3 - 55*y**2 + 1170*y + 2520 = 0. Calculate y.
-21, -2, 12
Solve 28*a**3 - 232772*a**2 + 66504*a = 0 for a.
0, 2/7, 8313
What is j in j**2/4 - 20306*j + 412333636 = 0?
40612
Factor 3*m**2/4 + 10932*m + 39836208.
3*(m + 7288)**2/4
Factor 2888*j**3/5 - 79192*j**2/5 + 134538*j - 364140.
2*(j - 14)*(38*j - 255)**2/5
What is j in 16*j**5/3 + 2*j**4/3 - 80*j**3/3 - 10*j**2/3 + 64*j/3 + 8/3 = 0?
-2, -1, -1/8, 1, 2
Solve z**5 - 889*z**4/4 - 1691*z**3/2 - 1811*z**2/4 + 339*z/2 = 0.
-3, -1, 0, 1/4, 226
Let 3*m**2/7 + 3876*m/7 - 15552/7 = 0. Calculate m.
-1296, 4
Factor 3*t**3 - 349*t**2/3 + 898*t + 616/3.
(t - 28)*(t - 11)*(9*t + 2)/3
Solve -c**2/8 - 21*c/4 - 405/8 = 0.
-27, -15
Factor -q**3/3 - 545*q**2/3 + 37547*q - 37365.
-(q - 159)*(q - 1)*(q + 705)/3
Factor 4*i**2 + 168*i.
4*i*(i + 42)
Find d such that -520*d**3 + 22852*d**2 + 24588*d + 3240 = 0.
-9/10, -2/13, 45
Factor y**3/3 + 244*y**2/3 - 7705*y - 2127786.
(y - 158)*(y + 201)**2/3
Factor -50933467778*j**2/23 - 1914996*j/23 - 18/23.
-2*(159583*j + 3)**2/23
Factor -l**3 + 537*l**2 + 538*l.
-l*(l - 538)*(l + 1)
Factor -3*r**3/2 + 111*r**2 + 25893*r/2.
-3*r*(r - 137)*(r + 63)/2
Factor 5*i**2 + 89130*i + 178240.
5*(i + 2)*(i + 17824)
Let -4*a**2 - 1660*a - 99864 = 0. What is a?
-342, -73
Factor 4*q**3 + 20*q**2 - 232*q + 352.
4*(q - 4)*(q - 2)*(q + 11)
Factor -3*c**4/8 + 9*c**3/4 + 6*c**2.
-3*c**2*(c - 8)*(c + 2)/8
Factor -5535*f**2 + 1677*f - 114.
-3*(5*f - 1)*(369*f - 38)
Determine q, given that 129*q**3/11 - 260*q**2/11 - 3092*q/11 + 48/11 = 0.
-4, 2/129, 6
Let -5*u**5 - 46*u**4 + 113*u**3 + 2122*u**2 + 6528*u + 6048 = 0. What is u?
-36/5, -4, -3, -2, 7
Determine b so that -5*b**2 - 218540*b - 2387986580 = 0.
-21854
Factor -32626638101250*a**2/13 + 32311800*a/13 - 8/13.
-2*(4038975*a - 2)**2/13
Factor -6*g**3/7 - 36590*g**2/7 + 24396*g/7.
-2*g*(g + 6099)*(3*g - 2)/7
Suppose -5*r**4 - 427270*r**3 - 9127128065*r**2 + 36513639660*r - 36515348820 = 0. Calculate r.
-42729, 2
Solve -3*i**4 + 39*i**3 - 96*i**2 - 336*i + 1152 = 0.
-3, 4, 8
Solve -2*y**4 - 256*y**3/3 - 2212*y**2/3 - 1280*y/3 + 682/3 = 0.
-31, -11, -1, 1/3
Factor 2*t**2/5 - 210644*t/5 - 210646/5.
2*(t - 105323)*(t + 1)/5
Find o, given that -3*o**5/4 + 249*o**4/4 - 1953*o**3 + 27984*o**2 - 168432*o + 239580 = 0.
2