 - 4232 = 0.
-184/7
Determine a, given that a**4/8 - 857*a**3/8 - a**2/8 + 857*a/8 = 0.
-1, 0, 1, 857
Factor 2*t**3/3 + 248264*t**2/3 + 496522*t/3 + 248260/3.
2*(t + 1)**2*(t + 124130)/3
Find x such that -5*x**5 - 460*x**4 - 1780*x**3 - 1760*x**2 = 0.
-88, -2, 0
Let 2*l**5 + 180*l**4 + 2396*l**3 + 2040*l**2 - 2398*l - 2220 = 0. What is l?
-74, -15, -1, 1
Suppose -n**3/3 - 368*n**2/3 + 743*n/3 + 370 = 0. What is n?
-370, -1, 3
Let 3*m**5 + 2682*m**4 - 72300*m**3 - 497928*m**2 - 1038528*m - 706560 = 0. Calculate m.
-920, -2, 32
Factor 2*k**2/15 - 3494*k/15 + 256108/5.
2*(k - 1489)*(k - 258)/15
Determine c so that -2*c**5/15 + 754*c**4/15 + 758*c**3/15 - 754*c**2/15 - 252*c/5 = 0.
-1, 0, 1, 378
Let 5*d**4 + 461195*d**3 + 10635271985*d**2 + 10633888425*d - 21269621610 = 0. Calculate d.
-46119, -2, 1
Find d, given that 5*d**5/2 - 170*d**4 - 4580*d**3 - 8285*d**2 + 9155*d/2 + 8455 = 0.
-19, -2, -1, 1, 89
Factor -2*o**2 + 294*o - 10804.
-2*(o - 74)*(o - 73)
What is u in u**3 + 1280*u**2 - 295507*u + 15764974 = 0?
-1486, 103
Factor -5*o**5 - 255*o**4 - 1800*o**3 + 40500*o**2.
-5*o**2*(o - 9)*(o + 30)**2
Factor -5*r**3 - 2475*r**2 + 41165*r + 145635.
-5*(r - 19)*(r + 3)*(r + 511)
Factor -2*l**2 + 56732*l - 402314978.
-2*(l - 14183)**2
Determine a so that 74*a**4 - 71036*a**3/5 + 4545792*a**2/5 - 96944128*a/5 - 1048576/5 = 0.
-2/185, 64
Find i, given that -3*i**3 - 3291*i**2 + 49908*i - 146784 = 0.
-1112, 4, 11
Factor 2*l**3/19 - 280*l**2/19 - 1152*l/19.
2*l*(l - 144)*(l + 4)/19
What is g in -g**4/2 + 22170*g**3 + 88685*g**2/2 - 22170*g - 44342 = 0?
-2, -1, 1, 44342
Find y, given that -85*y**5 - 1095*y**4 - 3950*y**3 - 5300*y**2 - 2040*y + 320 = 0.
-8, -2, -1, 2/17
Factor -b**2 - 2519*b/4 + 315/2.
-(b + 630)*(4*b - 1)/4
Factor -d**4/5 + 34*d**3/5 + 961*d**2/5 - 1610*d.
-d*(d - 50)*(d - 7)*(d + 23)/5
Factor -2*a**2/5 - 552*a/5 + 81874.
-2*(a - 335)*(a + 611)/5
Suppose 3*r**5 - 4458*r**4 - 4467*r**3 + 8922*r**2 = 0. Calculate r.
-2, 0, 1, 1487
Factor -5*w**2 + 835*w - 31080.
-5*(w - 111)*(w - 56)
Solve -4*n**4 - 1276*n**3 - 6168*n**2 + 35296*n + 40192 = 0.
-314, -8, -1, 4
Find n such that 2*n**3/5 + 8866*n**2/5 - 35488*n/5 + 35496/5 = 0.
-4437, 2
Factor -3*z**2 + 33468*z + 33471.
-3*(z - 11157)*(z + 1)
Solve l**2 + 229194*l - 458392 = 0 for l.
-229196, 2
Find w such that -w**5/3 - 88*w**4/3 + 9*w**3 + 810*w**2 + 1584*w = 0.
-88, -3, 0, 6
Suppose 14*u**4/5 - 442678*u**3/5 + 379426*u**2/5 + 63238*u/5 = 0. What is u?
-1/7, 0, 1, 31619
Factor -39*u**3 + 314*u**2 - 640*u + 32.
-(u - 4)**2*(39*u - 2)
Factor 2*f**3 - 20554*f**2 + 53186560*f - 1939865600.
2*(f - 5120)**2*(f - 37)
Find w, given that -5*w**2 + 3400690*w - 578234623805 = 0.
340069
Suppose -3*k**3/4 + 99*k**2 + 831*k + 1260 = 0. Calculate k.
-6, -2, 140
Factor t**3 + 50*t**2 + 417*t - 468.
(t - 1)*(t + 12)*(t + 39)
Suppose -7*z**5/4 - 5935*z**4 - 10096225*z**3/2 - 27262370*z**2 - 111661815*z/4 + 25796241 = 0. What is z?
-1693, -3, 4/7
Let -2*o**4 + 536*o**3 + 3732*o**2 - 5312296*o - 196455842 = 0. What is o?
-53, 187
Factor -4*i**3 - 136*i**2 + 780*i.
-4*i*(i - 5)*(i + 39)
Let 4*q**3 + 359376*q**2 + 718736*q = 0. Calculate q.
-89842, -2, 0
Factor g**3/2 + 2057*g**2/2 + 6153*g.
g*(g + 6)*(g + 2051)/2
Factor -28*m**3 - 2516*m**2 - 45140*m + 6500.
-4*(m + 25)*(m + 65)*(7*m - 1)
Find z, given that 2*z**5 + 9*z**4/2 - 23*z**3 - 42*z**2 + 45*z + 27/2 = 0.
-3, -1/4, 1, 3
Factor 3*b**2 - 3156*b + 9441.
3*(b - 1049)*(b - 3)
Find j such that 6*j**4 - 1286*j**3 - 4786*j**2 - 2186*j + 1308 = 0.
-3, -1, 1/3, 218
Solve r**5 + 22*r**4 - 142*r**3 - 184*r**2 + 141*r + 162 = 0 for r.
-27, -1, 1, 6
Factor 4*y**3 + 908*y**2 + 7036*y + 6132.
4*(y + 1)*(y + 7)*(y + 219)
Factor 2*h**2/3 + 128*h + 8632/3.
2*(h + 26)*(h + 166)/3
Factor -t**3/3 + 1403*t**2/3 - 488576*t/3 - 2478080/3.
-(t - 704)**2*(t + 5)/3
Solve 28*c**5/3 + 18*c**4 - 376*c**3/3 + 290*c**2/3 + 28*c - 80/3 = 0 for c.
-5, -1/2, 4/7, 1, 2
Find u such that -2*u**5/5 + 294*u**4/5 - 12526*u**3/5 + 25066*u**2 - 292656*u/5 + 35912 = 0.
1, 2, 10, 67
Factor -4*h**2/3 + 320*h/3 - 1012.
-4*(h - 69)*(h - 11)/3
Solve -2*b**2/7 - 17470*b/7 - 87300/7 = 0 for b.
-8730, -5
Factor j**2/2 + 537*j/2 - 3575.
(j - 13)*(j + 550)/2
Let -6*b**3/7 + 166*b**2/7 - 1164*b/7 + 704/7 = 0. Calculate b.
2/3, 11, 16
Find h, given that 2*h**2/5 - 206*h/5 - 4356/5 = 0.
-18, 121
Solve i**2 + 488*i + 1455 = 0.
-485, -3
Find x, given that 21*x**3/4 - 144*x**2 - 15525*x/4 - 3732 = 0.
-16, -1, 311/7
Find t, given that t**2/2 + 5783*t/2 + 239358 = 0.
-5699, -84
Determine q, given that 93*q**3 + 884*q**2 + 2420*q + 2048 = 0.
-512/93, -2
Factor 5*x**4 - 2460*x**3 + 287460*x**2 + 3719520*x + 11430720.
5*(x - 252)**2*(x + 6)**2
Find t such that -t**3 - 102*t**2 - 1001*t = 0.
-91, -11, 0
Solve -1765*f**4 + 47675*f**3/2 - 74265*f**2 - 85645*f/2 + 245 = 0.
-1/2, 2/353, 7
Factor -t**3/3 + 688*t**2/3 - 912*t.
-t*(t - 684)*(t - 4)/3
What is o in -4*o**4/5 - 1148*o**3 - 414700*o**2 - 2044900*o = 0?
-715, -5, 0
Solve -k**5/2 - 57*k**4/2 + 1736*k**3 - 25676*k**2 + 107016*k + 134456 = 0 for k.
-98, -1, 14
Find a such that -2*a**2 - 530*a - 10248 = 0.
-244, -21
Determine r so that 172*r**4 - 5846*r**3 + 54972*r**2 - 87424*r - 1024 = 0.
-1/86, 2, 16
What is p in 4*p**4 - 852*p**3 + 9668*p**2 - 3756*p - 53064 = 0?
-2, 3, 11, 201
Factor j**2/4 + 47*j/4 + 45/2.
(j + 2)*(j + 45)/4
Find h, given that 4*h**3 - 2352*h**2 + 2340*h + 4696 = 0.
-1, 2, 587
Factor -4*t**2/5 - 7728*t/5 + 4644.
-4*(t - 3)*(t + 1935)/5
Determine n, given that 2*n**3/3 + 586*n**2/3 + 16290*n + 279450 = 0.
-135, -23
Solve 3*b**2 - 2605269*b/5 - 208422 = 0 for b.
-2/5, 173685
Find z, given that 2*z**3/9 + 9886*z**2/9 + 12221566*z/9 + 12211682/9 = 0.
-2471, -1
Factor -l**2 - 173*l - 7300.
-(l + 73)*(l + 100)
Factor -4*j**4/7 - 6012*j**3 + 378972*j**2/7 - 1137132*j/7 + 1137240/7.
-4*(j - 3)**3*(j + 10530)/7
Find q such that 9*q**5 - 3*q**4 - 102*q**3 + 192*q**2 - 96*q = 0.
-4, 0, 1, 4/3, 2
Let -2*f**5/3 - 100*f**4 - 17344*f**3/3 - 482944*f**2/3 - 2168320*f - 34073600/3 = 0. Calculate f.
-44, -22, -20
Let 184*i**4 + 22820*i**3 + 89552*i**2 + 90256*i + 1920 = 0. What is i?
-120, -2, -1/46
Let 5*x**4 + 625*x**3 - 193875*x**2 + 12326875*x - 241243750 = 0. What is x?
-290, 55
Factor g**4/3 + 52*g**3/3 - 113*g**2 + 518*g/3 - 232/3.
(g - 4)*(g - 1)**2*(g + 58)/3
Find g such that 40*g**5/3 + 251884*g**4/3 + 132140440*g**3 - 356932852*g**2/3 + 79329608*g/3 = 0.
-3149, 0, 2/5, 1/2
Solve 2*u**4 - 306*u**3 + 2858*u**2 + 306*u - 2860 = 0 for u.
-1, 1, 10, 143
Determine a so that -5*a**2/4 + 63450*a = 0.
0, 50760
Determine b so that 4*b**2/9 + 2796580*b/9 + 932192/3 = 0.
-699144, -1
Find u, given that -2*u**5/11 - 2812*u**4/11 - 2804*u**3/11 + 8432*u**2/11 + 2806*u/11 - 5620/11 = 0.
-1405, -2, -1, 1
Factor -4*h**2 - 2402800*h - 360840490000.
-4*(h + 300350)**2
Determine l, given that -9*l**5 - 2913*l**4 - 10497*l**3 + 20457*l**2 + 95202*l + 51840 = 0.
-320, -3, -2/3, 3
Factor -3*p**2/8 - 1065*p/8 + 10659/4.
-3*(p - 19)*(p + 374)/8
Factor 4*r**2 + 7496*r - 1205708.
4*(r - 149)*(r + 2023)
Solve -2*g**2/19 - 95528*g/19 - 1140699848/19 = 0 for g.
-23882
Factor -22*b**2/15 - 34*b/15 - 4/5.
-2*(b + 1)*(11*b + 6)/15
Find y such that -4*y**5/3 - 52*y**4 - 668*y**3/3 + 476*y**2/3 + 784*y + 1360/3 = 0.
-34, -5, -1, 2
Solve o**5/3 + 26*o**4 + 124*o**3 + 514*o**2/3 + 73*o = 0.
-73, -3, -1, 0
Factor -3*d**2 + 12045*d - 36108.
-3*(d - 4012)*(d - 3)
Factor 4*t**2/3 - 1240*t/3 + 412.
4*(t - 309)*(t - 1)/3
Solve -16*u**2 + 262652*u - 196980 = 0.
3/4, 16415
Solve -49*i**3/2 - 1492505*i**2/2 - 426427*i/2 - 30459/2 = 0.
-30459, -1/7
Factor -3*t**4/4 - 1767*t**3 - 2804193*t**2/2 - 385782831*t - 35182307475/4.
-3*(t + 25)*(t + 777)**3/4
Let -3*a**3/2 - 1317*a**2 - 613275*a/2 - 7586250 = 0. Calculate a.
-425, -28
Determine r, given that 5*r**2 + 30025*r + 747500 = 0.
-5980, -25
Factor -24*r**3 + 1779*r**2 + 3399*r + 1596.
-3*(r - 76)*(r + 1)*(8*r + 7)
Solve z**3/4 + 387*z**2/4 + 3944*z - 17340 = 0 for z.
-340, -51, 4
Factor 2*m**4 - 4028*m**3 + 1995618*m**2 + 32707360*m + 131868800.
2*(m - 1015)**2*(m + 8)**2
Determine w, given that -3*w**3/7 + 501*w**2/7 + 2568*w/7 + 2064/7 = 0.
-4, -1, 172
Factor b**2/6 - 2711*b/6 - 10940.
(b - 2735)*(b + 24)/6
Determine f, given that -3*f**5/2 - 11