*k**3 + 21970*k**2 + 395946*k + 1782486.
-2*(k - 11003)*(k + 9)**2
Suppose -3*a**2/5 + 799488*a/5 - 53265088512/5 = 0. Calculate a.
133248
Solve -2*v**4/5 + 2104*v**3/5 + 5950*v**2 + 104396*v/5 + 76752/5 = 0 for v.
-9, -4, -1, 1066
Factor 3*w**3/5 + 26*w**2/5 + 17*w/5 - 46/5.
(w - 1)*(w + 2)*(3*w + 23)/5
Suppose -n**4/2 - 51*n**3/2 - 257*n**2 + 102*n + 1036 = 0. What is n?
-37, -14, -2, 2
Find y such that 3*y**4 - 35898*y**3 + 107101056*y**2 + 1723430970*y - 1830496131 = 0.
-17, 1, 5991
Let -2*f**3/17 - 4922*f**2/17 + 4928*f/17 + 9848/17 = 0. What is f?
-2462, -1, 2
What is g in -g**4/2 - 30*g**3 - 797*g**2/2 + 429*g = 0?
-39, -22, 0, 1
Factor 2*n**4 - 50*n**3 - 222*n**2 - 286*n - 116.
2*(n - 29)*(n + 1)**2*(n + 2)
Find n such that 33*n**5 - 663*n**4/4 + 531*n**3/2 - 507*n**2/4 - 15*n + 9 = 0.
-1/4, 3/11, 1, 2
Let 5*a**2 + 61330*a + 61325 = 0. Calculate a.
-12265, -1
Solve -3*b**3 - 327*b**2 + 7242*b - 6912 = 0.
-128, 1, 18
Factor -5*r**3 - 153*r**2 + 554*r + 1680.
-(r - 5)*(r + 2)*(5*r + 168)
Determine v so that -v**4 + 31*v**3 + 74*v**2 - 264*v = 0.
-4, 0, 2, 33
Factor -2*w**2 - 1888*w + 215682.
-2*(w - 103)*(w + 1047)
Factor 5*h**4/6 + 102875*h**3/2 - 154315*h**2/3.
5*h**2*(h - 1)*(h + 61726)/6
Find u, given that 2*u**5/13 + 932*u**4/13 + 5534*u**3/13 + 6428*u**2/13 - 5536*u/13 - 7360/13 = 0.
-460, -4, -2, -1, 1
Find s such that -15*s**5 + 2225*s**4 - 19775*s**3 + 43875*s**2 - 12510*s = 0.
0, 1/3, 3, 6, 139
Suppose 2*v**2/17 + 24526*v/17 + 122580/17 = 0. What is v?
-12258, -5
Factor -v**2/2 + 41987*v/2 + 41989.
-(v - 41989)*(v + 2)/2
Find k, given that k**4/9 - 829*k**3/9 + 18623*k**2/3 + 829*k/9 - 55870/9 = 0.
-1, 1, 74, 755
Determine k so that -2*k**2 + 492*k + 10640 = 0.
-20, 266
Factor -4*x**3 + 144412*x**2 - 1303354400*x - 1303498816.
-4*(x - 18052)**2*(x + 1)
Factor 4*r**3 + 12192*r**2 + 9302484*r + 18556232.
4*(r + 2)*(r + 1523)**2
Let w**4 + 75*w**3 - 483*w**2 + 253*w + 810 = 0. What is w?
-81, -1, 2, 5
Factor 3*y**3/2 + 27021*y**2/2 + 108012*y + 215976.
3*(y + 4)**2*(y + 8999)/2
Let v**3/7 + 75*v**2/7 - 2544*v + 83776 = 0. Calculate v.
-187, 56
Solve -24*i**4 - 1628*i**3 + 138488*i**2 - 422348*i + 66552 = 0.
-118, 1/6, 3, 47
Solve 1682*u**4/3 - 34916*u**3 + 438510*u**2 - 356944*u/3 + 8160 = 0.
4/29, 17, 45
Solve -815*v**5 - 17110*v**4 - 129480*v**3 - 415670*v**2 - 476665*v + 2940 = 0.
-7, -4, -3, 1/163
Factor 2*l**3 - 994*l**2 + 9790*l - 24350.
2*(l - 487)*(l - 5)**2
Factor -2*k**2/3 - 19252*k/3 - 32070.
-2*(k + 5)*(k + 9621)/3
Factor 5*c**3 + 10810*c**2 + 5875100*c + 34862520.
5*(c + 6)*(c + 1078)**2
Let 10*d**5 + 2315*d**4 - 5835*d**3 + 3510*d**2 = 0. Calculate d.
-234, 0, 1, 3/2
What is y in 4*y**3/3 - 2324*y**2/3 - 7880*y = 0?
-10, 0, 591
Solve -a**3/5 - 428*a**2 - 21309*a/5 - 3834 = 0 for a.
-2130, -9, -1
Factor -y**5 - 33*y**4 + 37*y**3 + 97*y**2 - 168*y + 68.
-(y - 1)**3*(y + 2)*(y + 34)
Factor -3*x**2 + 987*x + 25416.
-3*(x - 353)*(x + 24)
Determine r so that -2*r**2/11 - 213452*r/11 - 5695219538/11 = 0.
-53363
Factor -2*w**4 - 41134*w**3 + 164560*w**2 - 164568*w.
-2*w*(w - 2)**2*(w + 20571)
Determine a so that 4*a**2/3 - 19424*a/3 - 103936 = 0.
-16, 4872
Factor 2*j**2 - 86920*j + 260742.
2*(j - 43457)*(j - 3)
Solve 1764*x**5/5 - 2534*x**4/5 - 622*x**3/5 + 2404*x**2/5 - 1128*x/5 + 144/5 = 0.
-1, 2/9, 1/2, 6/7
What is p in -p**3 - 465*p**2 - 4094*p + 4560 = 0?
-456, -10, 1
Factor d**2/3 - 1118*d - 115192/3.
(d - 3388)*(d + 34)/3
Factor s**2/7 + 14423*s/7 - 8244.
(s - 4)*(s + 14427)/7
Let -105*u**3 + 940*u**2 - 2055*u - 100 = 0. What is u?
-1/21, 4, 5
Let x**5/5 - 125*x**4 + 95436*x**3/5 + 696452*x**2/5 + 407008*x/5 - 1198272/5 = 0. What is x?
-6, -2, 1, 316
Solve -o**5 + 38*o**4 + 40302*o**3 + 120668*o**2 + 120587*o + 40182 = 0 for o.
-181, -1, 222
Find t such that t**3 + 1463*t**2 + 351535*t - 144325575 = 0.
-835, 207
Factor -6*y**3 + 166*y**2 + 2112*y - 1480.
-2*(y - 37)*(y + 10)*(3*y - 2)
Solve t**3/3 - 176*t**2 + 21372*t + 1501520/3 = 0.
-20, 274
Factor -5*r**3 - 470*r**2 + 17080*r.
-5*r*(r - 28)*(r + 122)
Solve 29*i**5/3 - 328*i**4 + 9937*i**3/3 - 8470*i**2 - 600*i = 0 for i.
-2/29, 0, 4, 15
Find u such that -2*u**5 - 356*u**4 - 16838*u**3 - 85628*u**2 + 137944*u + 207088 = 0.
-86, -7, -1, 2
Factor 2*j**3/3 + 250*j**2 - 3812*j/3 - 1520.
2*(j - 6)*(j + 1)*(j + 380)/3
Suppose -43*w**4/10 - 65*w**3/2 + 1523*w**2/10 - 231*w/2 = 0. What is w?
-11, 0, 1, 105/43
Factor -126*p**3/5 + 7172*p**2/5 + 114*p.
-2*p*(p - 57)*(63*p + 5)/5
Find b, given that -3*b**2 - 69012*b - 396888012 = 0.
-11502
Factor 4*s**4/3 - 100*s**3 - 2368*s**2/3 + 1968*s.
4*s*(s - 82)*(s - 2)*(s + 9)/3
Suppose -2*l**2/3 - 486*l = 0. Calculate l.
-729, 0
Find x, given that -5*x**3 - 8865*x**2 - 17695*x + 26565 = 0.
-1771, -3, 1
Let 2*g**5/19 + 20*g**4 - 15894*g**3/19 + 84888*g**2/19 - 122040*g/19 = 0. What is g?
-226, 0, 3, 30
Let 5*t**3 - 1695*t**2 - 17370*t - 27920 = 0. Calculate t.
-8, -2, 349
What is r in 2*r**2/11 - 3830256*r/11 + 1833857628192/11 = 0?
957564
Determine o so that -2*o**3/9 + 512*o**2/3 - 32768*o = 0.
0, 384
Suppose b**4/5 - 57*b**3/5 - 378*b**2/5 = 0. What is b?
-6, 0, 63
Solve 6093*i**3/4 - 97503*i**2/4 + 97548*i - 240 = 0 for i.
5/2031, 8
Suppose -2*l**5 + 12*l**4 + 14*l**3 - 184*l**2 + 288*l - 128 = 0. Calculate l.
-4, 1, 4
Determine t, given that -2*t**4/9 + 112*t**3/9 - 310*t**2/9 - 424*t/9 = 0.
-1, 0, 4, 53
Factor 3*j**2 + 663*j.
3*j*(j + 221)
Solve 42*w**4/5 - 992*w**3 - 89576*w**2/5 + 8576*w/5 = 0 for w.
-16, 0, 2/21, 134
Find z such that -4*z**5 + 668*z**4 + 2052*z**3 - 2012*z**2 - 4784*z + 4080 = 0.
-3, -2, 1, 170
Factor -4*r**3/5 - 3544*r**2/5 - 151920*r + 2268000.
-4*(r - 14)*(r + 450)**2/5
Factor b**4 + 83*b**3 + 547*b**2 + 1149*b + 684.
(b + 1)*(b + 3)**2*(b + 76)
Factor 3*o**3 - 38400*o**2 + 153564*o - 153552.
3*(o - 12796)*(o - 2)**2
Solve 2*d**2/9 - 1060*d/3 + 177712/9 = 0 for d.
58, 1532
Determine x, given that -2*x**3/3 - 28348*x**2/3 = 0.
-14174, 0
Solve 2*z**5 - 1826*z**4 + 14520*z**3 - 36232*z**2 + 28960*z = 0.
0, 2, 4, 905
Factor u**3/7 + 1406*u**2/7 - 2833*u + 9940.
(u - 7)**2*(u + 1420)/7
Suppose a**5 + 2889*a**4 + 31667*a**3 + 25891*a**2 - 31668*a - 28780 = 0. What is a?
-2878, -10, -1, 1
Solve 4*m**3/5 - 114596*m**2/5 - 45844*m + 343812/5 = 0.
-3, 1, 28651
Suppose 3*l**3 + 7206*l**2 + 86148*l + 258120 = 0. Calculate l.
-2390, -6
Factor 727*v**4 - 5810*v**3 + 5041*v**2 + 42*v.
v*(v - 7)*(v - 1)*(727*v + 6)
Determine j, given that 3*j**2 - 299301*j + 1496430 = 0.
5, 99762
Factor 4*d**3 + 436*d**2 + 3560*d - 4000.
4*(d - 1)*(d + 10)*(d + 100)
Let 78*x**5 - 1481*x**4 - 5245*x**3 + 1415*x**2 + 5167*x + 66 = 0. What is x?
-3, -1, -1/78, 1, 22
Factor -3*z**3 + 105*z**2 - 408*z - 1260.
-3*(z - 30)*(z - 7)*(z + 2)
Determine q so that -2*q**5/3 + 374*q**4/3 - 21800*q**3/3 + 510944*q**2/3 - 4032896*q/3 - 4566016/3 = 0.
-1, 28, 104
Solve m**2 - 1432440*m + 512971088400 = 0.
716220
Factor -5*p**3 + 16920*p**2 + 512100*p.
-5*p*(p - 3414)*(p + 30)
What is g in -3*g**2/4 - 195*g + 63375/4 = 0?
-325, 65
Determine u so that -10*u**5/7 + 482*u**4/7 - 4362*u**3/7 - 1426*u**2/7 + 12212*u/7 + 8784/7 = 0.
-1, 2, 61/5, 36
Suppose -v**2 - 2232446*v - 1245953785729 = 0. Calculate v.
-1116223
Factor -2*p**3/7 - 2474*p**2 - 37497798*p/7 - 37480482/7.
-2*(p + 1)*(p + 4329)**2/7
Let -a**2/3 - 1265*a/3 = 0. Calculate a.
-1265, 0
Factor u**4/5 + 152*u**3 - 1523*u**2/5 + 762*u/5.
u*(u - 1)**2*(u + 762)/5
What is n in -n**5/3 - 361*n**4/3 - 9742*n**3 - 166772*n**2/3 - 327848*n/3 - 72224 = 0?
-244, -111, -2
What is w in 276534*w**4/7 + 491940*w**3/7 - 118914*w**2/7 + 6688*w/7 + 8/7 = 0?
-2, -2/1707, 1/9
Factor 2*p**3/15 - 186*p**2/5 + 8416*p/15.
2*p*(p - 263)*(p - 16)/15
Find h such that 2*h**3 - 630*h**2 + 48688*h = 0.
0, 136, 179
Let 2*j**4 + 62*j**3 - 1934*j**2 - 8462*j - 6468 = 0. Calculate j.
-49, -3, -1, 22
Determine k, given that 5*k**2/2 - 2370935*k/2 = 0.
0, 474187
Factor 3*s**2 - 1020*s + 1017.
3*(s - 339)*(s - 1)
Factor -r**2 - 17552*r - 280576.
-(r + 16)*(r + 17536)
Factor 3*c**4/5 - 36*c**3/5 + 141*c**2/5 - 36*c.
3*c*(c - 5)*(c - 4)*(c - 3)/5
Factor w**3/4 - 47*w**2/2 + 445*w/4.
w*(w - 89)*(w - 5)/4
Determine q so that 2*q**3/19 - 250*q**2/19 - 2*q/19 + 250/19 = 0.
-1, 1, 125
Solve 4*t**2 - 794648*t - 794652 = 0.
-1, 198663
Suppo