, 15, 22
Factor 54378*g**2/7 + 14241*g - 11/7.
(6*g + 11)*(9063*g - 1)/7
Factor -6*a**3/5 - 3148*a**2/5 + 4208*a/5.
-2*a*(a + 526)*(3*a - 4)/5
Factor 4*d**3 + 20800*d**2 - 62548*d - 582736.
4*(d - 7)*(d + 4)*(d + 5203)
Find t such that 3*t**4/8 + 321*t**3/2 + 95187*t**2/8 + 46953*t/4 = 0.
-333, -94, -1, 0
Factor -4*k**3 - 20*k**2 + 944*k + 3840.
-4*(k - 15)*(k + 4)*(k + 16)
Factor 2*v**2 - 4908*v.
2*v*(v - 2454)
Determine k so that 2378*k**2/7 - 23774*k/7 - 60/7 = 0.
-3/1189, 10
Determine t, given that -2*t**2/9 - 6434*t/3 - 19300/9 = 0.
-9650, -1
Solve -5*v**4/3 - 960*v**3 + 5*v**2 + 8650*v/3 + 1920 = 0 for v.
-576, -1, 2
Solve 21*g**4 + 549*g**3 + 5094*g**2 + 19104*g + 21888 = 0.
-57/7, -8, -2
Determine f so that 2*f**5/7 + 32*f**4/7 - 6*f**3 - 128*f**2/7 + 136*f/7 = 0.
-17, -2, 0, 1, 2
Find j such that -j**2/3 + 5683*j - 17048/3 = 0.
1, 17048
Let 2*p**2 + 50320*p + 316512800 = 0. Calculate p.
-12580
Let 3*h**5 - 435*h**4 + 2538*h**3 - 5034*h**2 + 4179*h - 1251 = 0. What is h?
1, 3, 139
Find f such that -2*f**2/3 - 138*f + 3192 = 0.
-228, 21
Let -45*m**4 + 119850*m**3 - 2299685*m**2 - 1573080*m - 264400 = 0. Calculate m.
-1/3, 20, 2644
Find u such that 3*u**5 - 3645*u**4 + 7269*u**3 + 10941*u**2 - 29124*u + 14556 = 0.
-2, 1, 2, 1213
Factor -t**3 - 38418*t**2 - 369062505*t - 1475635396.
-(t + 4)*(t + 19207)**2
Solve -5*f**4 - 455*f**3 + 4015*f**2 + 5355*f - 8910 = 0 for f.
-99, -2, 1, 9
Factor -t**4/2 - 9*t**3/2 + 128*t**2 + 1152*t.
-t*(t - 16)*(t + 9)*(t + 16)/2
Solve -2*c**3/11 - 978*c**2/11 - 6712*c/11 + 17352/11 = 0.
-482, -9, 2
Factor -5*w**2 - 3825*w - 67230.
-5*(w + 18)*(w + 747)
Solve 3*k**5 - 12*k**4 - 2706*k**3 - 18108*k**2 - 38097*k - 22680 = 0.
-24, -3, -1, 35
Factor r**2 + 156*r + 4715.
(r + 41)*(r + 115)
Find x such that 2*x**3/9 + 662*x**2/9 - 6932*x/9 - 38192/9 = 0.
-341, -4, 14
Factor -2*y**4 - 108*y**3 + 1672*y**2 - 4788*y - 6566.
-2*(y - 7)**2*(y + 1)*(y + 67)
What is h in -2*h**5/5 - 68*h**4/5 + 82*h**3 + 1156*h**2 - 41928*h/5 + 58608/5 = 0?
-37, -11, 2, 6
Let 3*s**2/4 + 3795*s - 45567/4 = 0. What is s?
-5063, 3
Find r such that 3*r**5 + 1323*r**4 - 21936*r**3 = 0.
-457, 0, 16
Solve -2*r**5/5 - 92*r**4/5 + 496*r**3/5 - 708*r**2/5 + 306*r/5 = 0.
-51, 0, 1, 3
Suppose -w**3/4 - 12393*w**2/4 - 24783*w/4 - 12391/4 = 0. Calculate w.
-12391, -1
Find k, given that -6*k**5 - 2564*k**4 - 283080*k**3 - 1940400*k**2 = 0.
-210, -22/3, 0
Factor 2*j**2/7 + 1224*j/7 + 2440/7.
2*(j + 2)*(j + 610)/7
Let -22*j**2/7 + 1299*j/7 - 59/7 = 0. What is j?
1/22, 59
Find b such that -4*b**5/5 - 876*b**4/5 + 916*b**3/5 + 7884*b**2/5 - 1584*b = 0.
-220, -3, 0, 1, 3
Determine c, given that 244036*c**5/3 + 276640*c**4/3 + 31717*c**3/3 - 1019*c**2/3 - 128*c/3 + 4/3 = 0.
-1, -2/19, 1/26
Factor 2*r**3 + 884*r**2 + 119992*r + 5168560.
2*(r + 106)**2*(r + 230)
Factor -i**3/2 + 41*i**2 + 89*i/2 - 249.
-(i - 83)*(i - 2)*(i + 3)/2
Factor 2*t**3/3 - 22*t**2/3 - 680*t/3 - 2600/3.
2*(t - 26)*(t + 5)*(t + 10)/3
Factor 4*g**2 - 6088*g - 360012.
4*(g - 1579)*(g + 57)
What is r in -2*r**3 - 57783*r**2/4 + 65015*r/4 - 1806 = 0?
-7224, 1/8, 1
Find s, given that -2*s**4/7 + 14404*s**3/7 - 25746186*s**2/7 - 678810392*s/7 - 653049800/7 = 0.
-25, -1, 3614
Factor 2*x**3/3 - 2600*x**2 + 23346*x.
2*x*(x - 3891)*(x - 9)/3
Factor -5*s**3 + 17040*s**2 + 17055*s - 34090.
-5*(s - 3409)*(s - 1)*(s + 2)
Factor -3*j**4 + 54*j**3 + 405*j**2 + 648*j.
-3*j*(j - 24)*(j + 3)**2
Suppose 2*c**5/3 + 76*c**4/3 - 254*c**3/3 - 328*c**2/3 = 0. Calculate c.
-41, -1, 0, 4
Suppose -m**3 + 422*m**2 + 123172*m + 7123624 = 0. What is m?
-106, 634
Determine t so that 2*t**2/5 + 488*t/5 + 25896/5 = 0.
-166, -78
Suppose -i**2/4 + 35989*i/4 + 62993 = 0. Calculate i.
-7, 35996
Find h such that 2*h**4 - 1800*h**3 + 21408*h**2 - 85376*h + 113664 = 0.
4, 888
Factor 2*z**4 + 4334*z**3 + 2354432*z**2 + 7024344*z.
2*z*(z + 3)*(z + 1082)**2
Solve -2*z**3/7 + 50226*z**2/7 - 50224*z/7 = 0 for z.
0, 1, 25112
Let -2*z**5 + 286*z**4 + 1594*z**3 - 17070*z**2 + 29304*z = 0. Calculate z.
-11, 0, 3, 148
Suppose g**4/6 - 455*g**3/6 - 6061*g**2/6 - 10753*g/6 - 858 = 0. Calculate g.
-11, -1, 468
Factor -5*l**4 + 23800*l**3 - 37778520*l**2 + 20022552160*l - 39894180560.
-5*(l - 1586)**3*(l - 2)
Let -r**4/5 - r**3 + 102397*r**2/5 - 102391*r/5 = 0. Calculate r.
-323, 0, 1, 317
Solve 20*i**4 - 958*i**3 + 6544*i**2 - 8936*i - 960 = 0 for i.
-1/10, 2, 6, 40
Factor v**3/2 + 375*v**2/2 - 2501*v + 8148.
(v - 7)*(v - 6)*(v + 388)/2
Find j, given that 3*j**3/5 + 1047*j**2/5 - 2103*j/5 + 1053/5 = 0.
-351, 1
Let 3*l**3 - 20955*l**2 + 20946*l + 41904 = 0. Calculate l.
-1, 2, 6984
Find r, given that -3*r**4/4 - 11289*r**3/4 - 22569*r**2/4 - 11283*r/4 = 0.
-3761, -1, 0
Find z such that z**4/8 + 457*z**3/8 + 34419*z**2/4 + 824131*z/2 - 2282665 = 0.
-154, 5
Let 27*d**5/4 - 549*d**4 - 1755609*d**3/4 - 2334435*d**2/2 - 631926*d - 97200 = 0. Calculate d.
-216, -2, -1/3, 300
Let -2*w**5/5 + 34*w**4/5 - 148*w**3/5 - 56*w**2 + 2928*w/5 - 4032/5 = 0. What is w?
-4, 2, 6, 7
What is c in c**3/5 + 267344*c**2/5 = 0?
-267344, 0
Factor 90076*b**4/3 + 10*b**3/3.
2*b**3*(45038*b + 5)/3
Factor -2*z**4 + 10772*z**3 - 15680522*z**2 + 3167032632*z - 172879056072.
-2*(z - 2579)**2*(z - 114)**2
Determine i, given that -5*i**4 + 495*i**3 - 15110*i**2 + 133380*i + 331240 = 0.
-2, 26, 49
Find v such that v**4 + 181*v**3 + 536*v**2 + 356*v = 0.
-178, -2, -1, 0
Determine z, given that 16*z**4 - 2684*z**3/3 + 36880*z**2/3 - 60748*z/3 - 5320/3 = 0.
-1/12, 2, 19, 35
Factor -3*i**2 + 158922*i + 317856.
-3*(i - 52976)*(i + 2)
Factor -p**2/5 - 918*p/5 - 31752/5.
-(p + 36)*(p + 882)/5
Determine n so that -2*n**3/9 - 29416*n**2/9 - 36093400*n/3 - 96040000 = 0.
-7350, -8
Suppose x**4 - 1365*x**3/2 + 5048*x**2 + 19593*x/2 - 6075 = 0. What is x?
-2, 1/2, 9, 675
Let 4*w**5 - 340*w**4 - 12352*w**3 + 1095280*w**2 + 4518144*w + 4561920 = 0. Calculate w.
-55, -2, 72
Determine m, given that 4*m**4 - 520*m**3 + 16336*m**2 + 39072*m - 139392 = 0.
-4, 2, 66
Determine u so that -u**2/4 - 167902*u - 28191081604 = 0.
-335804
Find n, given that n**4/4 + 1421*n**3/4 - 15141*n**2/2 = 0.
-1442, 0, 21
Determine s so that 2*s**3 + 60*s**2 - 9182*s - 9240 = 0.
-84, -1, 55
Determine m so that 2*m**4/7 + 356*m**3/7 - 1446*m**2/7 + 1816*m/7 - 104 = 0.
-182, 1, 2
What is c in 2*c**5/3 - 344*c**4/7 - 125918*c**3/21 - 158336*c**2/21 + 71368*c/7 + 71168/21 = 0?
-64, -2, -2/7, 1, 139
Factor 3*n**3/2 + 36*n**2 - 3531*n/2 - 1800.
3*(n - 25)*(n + 1)*(n + 48)/2
Determine r so that 2*r**2/3 - 1978*r/3 - 22000/3 = 0.
-11, 1000
Solve -45*m**3/2 + 80*m**2 + 375*m/2 - 125 = 0.
-2, 5/9, 5
Factor o**4/4 - 94*o**3 - 3451*o**2/4 - 2695*o/2.
o*(o - 385)*(o + 2)*(o + 7)/4
Find n, given that n**3/6 - 32*n**2 + 191*n/6 = 0.
0, 1, 191
Factor -z**2 + 258*z - 11880.
-(z - 198)*(z - 60)
Factor 9*i**3 - 168*i**2 - 7595*i - 51450.
(i - 42)*(3*i + 35)**2
Let z**3/5 + 2262*z**2/5 + 2709*z + 20304/5 = 0. Calculate z.
-2256, -3
Determine m, given that -m**5/6 + 313*m**4/6 - 12311*m**3/3 + 2708*m**2 + 104208*m + 97344 = 0.
-4, -1, 6, 156
Determine u so that 2*u**2/5 + 72*u + 10582/5 = 0.
-143, -37
Factor -2*f**3/17 + 19922*f**2/17 - 3576118*f/17 + 161959798/17.
-2*(f - 9779)*(f - 91)**2/17
Factor 5*z**2 - 4451000*z + 990570050000.
5*(z - 445100)**2
Factor w**3/2 + 346*w**2 + 14210*w - 29808.
(w - 2)*(w + 46)*(w + 648)/2
Factor -f**2/5 - 124657*f/5.
-f*(f + 124657)/5
Factor -2*w**3 - 43946*w**2 - 43944*w.
-2*w*(w + 1)*(w + 21972)
Suppose 27*f**5/5 - 3774*f**4/5 - 49521*f**3/5 - 96732*f**2/5 - 60132*f/5 - 1824 = 0. Calculate f.
-10, -1, -2/9, 152
Factor 3*n**2/4 - 817713*n/2 + 222884850123/4.
3*(n - 272571)**2/4
Factor 2*h**4 + 32796*h**3 + 134414402*h**2 - 268927200*h + 134480000.
2*(h - 1)**2*(h + 8200)**2
Factor -3*n**3 - 1857*n**2 - 16512*n - 25620.
-3*(n + 2)*(n + 7)*(n + 610)
Factor 3*y**2 + 39573*y + 908592.
3*(y + 23)*(y + 13168)
Factor -v**4 + 8011*v**3 - 16048035*v**2 + 16040025*v.
-v*(v - 4005)**2*(v - 1)
Factor h**3/6 + 77*h**2/3 - 1520*h + 19392.
(h - 24)**2*(h + 202)/6
Factor 4*q**4 - 60*q**3 - 9524*q**2 + 19212*q - 9632.
4*(q - 56)*(q - 1)**2*(q + 43)
Suppose 45*c**3 + 3117545*c**2 - 3810390*c + 692800 = 0. Calculate c.
-69280, 2/9, 1
Let -3*l**3/4 + 979*l**2/4 + 8719*l/4 - 3015/4 = 0. What is l?
-9, 1/3, 335
Factor