1
Determine y, given that 2*y**3/5 + 68*y**2/5 + 216*y/5 - 144 = 0.
-30, -6, 2
Factor 4*y**2 - 43016*y + 129012.
4*(y - 10751)*(y - 3)
Find i such that -4*i**4 + 120*i**3 - 1200*i**2 + 4000*i = 0.
0, 10
What is v in -128*v**5 + 58464*v**4 - 6579474*v**3 - 22174832*v**2 + 19394520*v - 3808800 = 0?
-4, 3/8, 230
What is v in 3*v**2/2 + 56637*v/2 - 28320 = 0?
-18880, 1
Factor -z**3 - 84*z**2 - 71*z + 996.
-(z - 3)*(z + 4)*(z + 83)
Determine a, given that -2*a**2/17 + 3476*a/17 - 6944/17 = 0.
2, 1736
Suppose -22801*u**3/3 - 70517*u**2/3 - 6391*u/3 - 49 = 0. Calculate u.
-3, -7/151
Solve 2*s**5/9 - 8*s**4/3 + 80*s**3/9 - 4*s**2 - 82*s/9 + 20/3 = 0.
-1, 1, 5, 6
Factor -3*x**4 + 1428*x**3 - 192720*x**2 + 5227200*x.
-3*x*(x - 220)**2*(x - 36)
Factor b**4/4 + 29*b**3/4 + 151*b**2/2 + 328*b + 480.
(b + 3)*(b + 8)**2*(b + 10)/4
Factor -4*m**3 + 53132*m**2 - 743260*m + 2600724.
-4*(m - 13269)*(m - 7)**2
Factor 3*g**2/2 + 342*g - 2832.
3*(g - 8)*(g + 236)/2
Find t such that -10*t**4/3 - 2198*t**3/3 - 55920*t**2 - 5430400*t/3 - 63872000/3 = 0.
-499/5, -40
Find p such that -p**2/5 + 16626*p/5 - 531008/5 = 0.
32, 16594
Suppose 57963*q**2/4 - 3*q/8 = 0. Calculate q.
0, 1/38642
Find r, given that -5*r**4 + 555*r**3 - 6085*r**2 + 14445*r - 8910 = 0.
1, 2, 9, 99
Solve k**2 - 796*k - 8060 = 0 for k.
-10, 806
Determine x so that -x**3/10 + 1269*x**2/5 - 2536*x/5 = 0.
0, 2, 2536
What is z in 3*z**5 - 13041*z**4 - 26202*z**3 + 469956*z**2 - 1148328*z + 835008 = 0?
-8, 2, 4349
Let j**5 - 1108*j**4 + 2209*j**3 + 3318*j**2 = 0. What is j?
-1, 0, 3, 1106
What is g in g**2/4 + 411*g/4 + 7931 = 0?
-308, -103
Let -s**5 - 297*s**4 - 24939*s**3 - 427127*s**2 - 1851960*s + 2304324 = 0. What is s?
-138, -11, 1
Solve -5*b**4 - 720*b**3 - 3660*b**2 + 65120*b - 154560 = 0.
-138, -14, 4
Determine j, given that -2*j**4 - 554*j**3 + 24360*j**2 - 90728*j + 88480 = 0.
-316, 2, 35
Suppose -5043*r**3 + 704544*r**2 + 6102660*r + 12831600 = 0. Calculate r.
-170/41, 148
Solve -147*u**2/5 + 162162*u/5 - 44721963/5 = 0 for u.
3861/7
Let t**3 - 13209*t**2 + 79227*t - 118827 = 0. What is t?
3, 13203
Factor -c**2/3 - 18850*c.
-c*(c + 56550)/3
Factor 15*a**2 + 3567*a - 41052.
3*(a - 11)*(5*a + 1244)
Determine i, given that i**5 + 33*i**4 + 223*i**3 - 225*i**2 - 1412*i + 1380 = 0.
-23, -10, -3, 1, 2
Factor -4*h**2 - 182548*h - 547608.
-4*(h + 3)*(h + 45634)
Let -r**3/3 + 907*r**2/3 + 3649*r/3 - 4555/3 = 0. Calculate r.
-5, 1, 911
Suppose 10*z**4 + 8012*z**3 - 22530*z**2 - 14436*z + 28944 = 0. Calculate z.
-804, -6/5, 1, 3
Factor 3*k**2/4 - 471*k/2 + 930.
3*(k - 310)*(k - 4)/4
Factor 3*k**2 + 371790*k - 743592.
3*(k - 2)*(k + 123932)
Let 405*q**4 - 1085670*q**3 - 2172420*q**2 - 1448520*q - 321920 = 0. What is q?
-2/3, 8048/3
Factor -r**2/4 + 2045*r/4 - 47239.
-(r - 1948)*(r - 97)/4
Factor 5*v**2 + 25672*v + 10268.
(v + 5134)*(5*v + 2)
Determine y, given that -y**4/2 - 169*y**3 + 19416*y**2 - 497495*y + 956497/2 = 0.
-433, 1, 47
Solve -2*h**4/5 - 16*h**3/5 + 6*h**2/5 + 124*h/5 - 112/5 = 0.
-7, -4, 1, 2
Suppose 30*j**5 - 2673*j**4 - 5223*j**3 + 3219*j**2 + 5193*j - 546 = 0. What is j?
-2, -1, 1/10, 1, 91
Suppose -7*k**4 - 1416*k**3 - 31197*k**2 + 23416*k + 9204 = 0. Calculate k.
-177, -26, -2/7, 1
Let -5*t**3 - 1060*t**2 - 1055*t = 0. What is t?
-211, -1, 0
Factor s**2/3 - 2599*s/3 + 20728/3.
(s - 2591)*(s - 8)/3
Determine u, given that 3*u**2/2 - 163707*u/2 - 81855 = 0.
-1, 54570
Determine h, given that 7*h**5 + 14*h**4 - 79*h**3/7 - 188*h**2/7 - 60*h/7 = 0.
-2, -1, -3/7, 0, 10/7
Determine c, given that 4*c**5 - 52*c**4 - 748*c**3 - 1052*c**2 + 1848*c = 0.
-7, -3, 0, 1, 22
What is r in 27*r**3 - 5928*r**2 - 58677*r + 64578 = 0?
-94/9, 1, 229
What is u in -u**3/3 - 5942*u**2/3 - 2944260*u - 5880600 = 0?
-2970, -2
What is x in -5*x**2 + 149300*x - 1114524500 = 0?
14930
Factor 5*f**4/4 + 2044765*f**3/4 - 6134325*f**2/4 + 6134335*f/4 - 511195.
5*(f - 1)**3*(f + 408956)/4
Let 4*h**2 + 6100*h - 18336 = 0. What is h?
-1528, 3
Solve 1710*l**3/11 - 3412*l**2/11 + 154*l + 8/11 = 0 for l.
-4/855, 1
Factor -t**2/3 - 37807*t/3 - 75602.
-(t + 6)*(t + 37801)/3
What is w in 4*w**4 + 56*w**3 - 3236*w**2 + 6216*w = 0?
-37, 0, 2, 21
Factor 3*r**3 + 2043*r**2 + 20205*r + 50325.
3*(r + 5)**2*(r + 671)
Find j, given that -28*j**5/17 - 5958*j**4/17 + 7274*j**3/17 - 432*j**2/17 - 856*j/17 = 0.
-214, -2/7, 0, 1/2, 1
Factor -19*s**2 + 507*s + 162.
-(s - 27)*(19*s + 6)
What is u in -u**5 + 83*u**4 + 1102*u**3 + 3598*u**2 + 1203*u - 5985 = 0?
-7, -3, 1, 95
Solve -n**3 - 23414*n**2 + 93672*n = 0 for n.
-23418, 0, 4
Solve -45*s**5 + 1581*s**4 + 30705*s**3 + 135423*s**2 + 91644*s - 14700 = 0.
-7, -1, 2/15, 50
Solve 9*r**4/5 + 563*r**3/5 + 7488*r**2/5 - 11756*r/5 + 3696/5 = 0.
-42, -22, 4/9, 1
Determine r, given that -2*r**5/9 + 680*r**4/9 + 692*r**3/9 - 3416*r**2/9 + 682*r/3 = 0.
-3, 0, 1, 341
Suppose 2*m**2 - 10264*m + 184104 = 0. What is m?
18, 5114
Determine i, given that -i**4/4 - 9*i**3 + 43*i**2/4 + 111*i/2 = 0.
-37, -2, 0, 3
Solve 2*i**5/3 - 34*i**4/3 + 62*i**3/3 - 10*i**2 = 0 for i.
0, 1, 15
Factor 80*c**3 - 2327080*c**2 + 3490485*c - 1308915.
5*(c - 29087)*(4*c - 3)**2
Suppose 3*m**3 + 17016*m**2 + 51027*m + 34014 = 0. Calculate m.
-5669, -2, -1
Factor m**2 + 140462*m + 4932393361.
(m + 70231)**2
Determine s, given that s**5 + 372*s**4 + 34589*s**3 - 2610*s**2 - 244404*s - 207576 = 0.
-186, -2, -1, 3
Solve 3*q**3 - 450*q**2 - 255609*q + 256056 = 0 for q.
-227, 1, 376
Determine i so that 5*i**5 + 9285*i**4 - 121385*i**3 + 308395*i**2 - 289800*i + 93500 = 0.
-1870, 1, 10
What is q in -q**2 + 3842*q + 3843 = 0?
-1, 3843
Factor -x**3/5 - 270*x**2 - 579852*x/5 - 76913928/5.
-(x + 258)*(x + 546)**2/5
Determine k, given that -k**3/5 - 17059*k**2/5 - 6823*k - 17057/5 = 0.
-17057, -1
Factor -32*t**3/7 - 21664*t**2/7 - 3672042*t/7 - 1830609/7.
-(2*t + 1)*(4*t + 1353)**2/7
Find j such that -3*j**2 + 4911*j + 897894 = 0.
-166, 1803
Find s such that -s**4/5 + 976*s**3/5 + 5883*s**2/5 + 8838*s/5 = 0.
-3, 0, 982
Factor -i**5/5 - 1199*i**4/5 - 357598*i**3/5 + 1079998*i**2/5 - 1082401*i/5 + 361201/5.
-(i - 1)**3*(i + 601)**2/5
Suppose 15*l**3 + 17915*l**2 + 5950*l - 23880 = 0. Calculate l.
-1194, -4/3, 1
Solve -2*p**4 + 80*p**3 + 5252*p**2 - 80*p - 5250 = 0.
-35, -1, 1, 75
Factor -2*t**2 - 588*t - 3456.
-2*(t + 6)*(t + 288)
Solve x**3/2 + 2470*x**2 - 74359*x/2 - 84235 = 0 for x.
-4955, -2, 17
Suppose -3*f**3/4 + 165*f**2/4 + 1071*f/4 + 1647/4 = 0. What is f?
-3, 61
Factor -c**3 - 3617*c**2 - 7231*c - 3615.
-(c + 1)**2*(c + 3615)
Find y such that -y**4/5 - 19263*y**3/5 - 123649173*y**2/5 - 52847564049*y + 1589882453802/5 = 0.
-6423, 6
What is t in t**2/7 - 69406*t/7 + 138808/7 = 0?
2, 69404
Factor 3*x**2 - 20928*x + 36498432.
3*(x - 3488)**2
Solve -3*i**4/2 + 2871*i**3/2 - 17115*i**2/2 - 2871*i/2 + 8559 = 0.
-1, 1, 6, 951
Factor 3*l**2/7 - 722370*l/7 + 43484868075/7.
3*(l - 120395)**2/7
Solve k**5/4 + 775*k**4/2 - 777*k**3 - 3103*k**2/2 + 3107*k/4 + 1164 = 0.
-1552, -1, 1, 3
Let -b**3 - 70*b**2 + 1037*b - 3486 = 0. Calculate b.
-83, 6, 7
Factor y**3/3 - 3*y**2 - 52*y/3.
y*(y - 13)*(y + 4)/3
Determine z so that 2*z**2 + 746*z + 6552 = 0.
-364, -9
Determine k, given that 4*k**5 - 44472*k**4 - 44480*k**3 + 44472*k**2 + 44476*k = 0.
-1, 0, 1, 11119
What is a in -4*a**3 - 652*a**2 + 15796*a - 89540 = 0?
-185, 11
Factor -a**3/4 + 61*a**2/2 - 475*a/4 + 177/2.
-(a - 118)*(a - 3)*(a - 1)/4
Factor -45*v**3 + 70018*v**2 - 66863*v - 3110.
-(v - 1555)*(v - 1)*(45*v + 2)
Factor -4*o**2 + 4152*o + 1136700.
-4*(o - 1263)*(o + 225)
Let 128*l**4/5 - 24032*l**3/5 + 136378*l**2 - 988740*l - 1129950 = 0. What is l?
-1, 135/8, 155
Let -2*p**2/11 - 3336*p/11 + 40320/11 = 0. What is p?
-1680, 12
Find q such that 4*q**3 - 2104*q**2 - 2108*q = 0.
-1, 0, 527
Suppose 2*d**3 + 40*d**2 + 18*d - 1980 = 0. Calculate d.
-15, -11, 6
Let -2*z**4/3 - 4064*z**3/3 + 24626*z**2 + 159940*z/3 + 82000/3 = 0. What is z?
-2050, -1, 20
Factor -3*u**2/7 - 132*u/7 + 41031/7.
-3*(u - 97)*(u + 141)/7
Factor n**3/3 - 163*n**2 + 20008*n - 59536/3.
(n - 244)**2*(n - 1)/3
Factor 2*n**4/9 + 1322236*n**3/9 + 72847049806*n**2/3 + 874148730904*n/9 + 874143441992/9.
2*(n + 2)**2*(n + 330557)**2/9
Factor -2*x**2/3 + 638*x/3 - 10268/3.
-2*(x - 302)*(x - 17)/3
Suppose 2*a**4 + 73262*a**3 + 6709