06852405 = 0 for t.
137191
Let -u**4/5 + 3*u**3 + 215*u**2 - 27*u - 9594/5 = 0. What is u?
-26, -3, 3, 41
Suppose 3*m**3/5 + 822*m**2/5 - 3*m/5 - 822/5 = 0. What is m?
-274, -1, 1
Factor 25*v**2 + 1905*v + 28100.
5*(v + 20)*(5*v + 281)
Let 4*r**4 + 348*r**3 + 6772*r**2 + 34788*r - 41912 = 0. Calculate r.
-62, -13, 1
Factor 2*a**4 - 32002*a**3 + 671454*a**2 - 4698806*a + 10962280.
2*(a - 15980)*(a - 7)**3
Factor -3*y**4/8 - 2379*y**3/4 - 1852947*y**2/8 + 3330600*y - 11760000.
-3*(y - 7)**2*(y + 800)**2/8
Factor -3*c**4 + 1440*c**3 - 198000*c**2 + 5808000*c.
-3*c*(c - 220)**2*(c - 40)
Factor c**4/2 + 144*c**3 + 287*c**2/2.
c**2*(c + 1)*(c + 287)/2
Find m such that -5*m**2 + 55040*m + 165165 = 0.
-3, 11011
Determine a so that 2*a**3 + 144334*a**2 = 0.
-72167, 0
Factor -3*m**2/5 - 252447*m.
-3*m*(m + 420745)/5
Solve 11*w**2/6 - 5905*w/3 + 7511/6 = 0.
7/11, 1073
Find z, given that -z**5/3 + 248*z**4/3 - 1018*z**3 - 248*z**2/3 + 3055*z/3 = 0.
-1, 0, 1, 13, 235
Determine w so that -2*w**3/5 + 2084*w**2/5 - 251992*w/5 - 512336/5 = 0.
-2, 142, 902
Let s**5/4 + 75*s**4/4 + 987*s**3/4 - 2203*s**2/4 + 285*s = 0. What is s?
-57, -20, 0, 1
Determine y, given that 2*y**4 - 714*y**3 + 62472*y**2 - 241384*y + 238560 = 0.
2, 140, 213
Factor 4*h**2 - 28816*h + 51897616.
4*(h - 3602)**2
Suppose 120*l**3 + 46774*l**2/3 - 3392*l/3 - 520 = 0. What is l?
-130, -3/20, 2/9
Find h, given that h**5/5 - 112*h**4/5 + 649*h**3/5 - 278*h**2 + 1276*h/5 - 424/5 = 0.
1, 2, 106
Let -5*l**2/2 - 19925*l/2 + 29910 = 0. Calculate l.
-3988, 3
Factor 139129*k**2/4 + 13055*k/2 + 1225/4.
(373*k + 35)**2/4
Factor 2*h**4/19 - 24*h**3 + 19944*h**2/19 + 36288*h + 4572288/19.
2*(h - 126)**2*(h + 12)**2/19
Solve o**2/3 - 631*o/3 - 3894 = 0 for o.
-18, 649
Factor f**2 + 1624*f + 244608.
(f + 168)*(f + 1456)
Suppose -11*y**3/6 + 1885*y**2/3 - 215296*y/3 + 2731568 = 0. Calculate y.
1218/11, 116
Factor -q**2 - 5495*q - 136750.
-(q + 25)*(q + 5470)
Solve 2*o**5/9 + 8014*o**4/9 + 223364*o**3/9 + 2150860*o**2/9 + 8757050*o/9 + 12931750/9 = 0.
-3979, -13, -5
Factor 5*s**4 - 22670*s**3 + 45280*s**2 + 181280*s.
5*s*(s - 4532)*(s - 4)*(s + 2)
Solve k**2/4 + 279*k/2 + 15341/4 = 0 for k.
-529, -29
Suppose 2*j**2 - 36592*j + 167371808 = 0. Calculate j.
9148
Solve -81*i**4 - 353322*i**3 + 353376*i**2 - 117798*i + 13089 = 0 for i.
-4363, 1/3
Factor n**4 - 309*n**3 - 8710*n**2.
n**2*(n - 335)*(n + 26)
What is q in 2*q**5/7 - 102*q**4/7 - 982*q**3/7 + 2262*q**2/7 - 1180*q/7 = 0?
-10, 0, 1, 59
Solve -o**4 - 441*o**3 + 10133*o**2 - 24615*o - 35188 = 0 for o.
-463, -1, 4, 19
Determine j so that 58564*j**2 + 36784*j + 5776 = 0.
-38/121
Determine j so that -2*j**2/13 - 944*j/13 - 288 = 0.
-468, -4
Suppose -4*l**2 - 58156*l = 0. Calculate l.
-14539, 0
Factor -p**2/2 + 2313*p/2 + 5795.
-(p - 2318)*(p + 5)/2
Factor -2*v**3/13 + 13622*v**2/13 - 23160768*v/13 - 116144640/13.
-2*(v - 3408)**2*(v + 5)/13
Let 32*l**5/5 - 2736*l**4/5 - 7086*l**3/5 + 4054*l**2/5 - 528*l/5 = 0. What is l?
-3, 0, 1/4, 88
Determine y, given that 4*y**5 + 12*y**4 - 1836*y**3 - 3692*y**2 - 1848*y = 0.
-22, -1, 0, 21
Solve -h**3 - 1832*h**2 - 1831*h = 0.
-1831, -1, 0
Solve 3*r**3/2 + 1308*r**2 + 187701*r/2 - 95160 = 0.
-793, -80, 1
Factor -4*n**3 + 3208*n**2 + 39028*n + 35816.
-4*(n - 814)*(n + 1)*(n + 11)
Find u, given that 3*u**3/7 + 636*u**2/7 + 5373*u/7 - 3132 = 0.
-203, -12, 3
Factor f**4 + 563*f**3 + 78960*f**2 - 79524*f.
f*(f - 1)*(f + 282)**2
Factor 2*w**3/5 + 1812*w**2/5 + 393624*w/5 - 7683984/5.
2*(w - 18)*(w + 462)**2/5
Factor -4*g**4 - 28904*g**3 + 28908*g**2.
-4*g**2*(g - 1)*(g + 7227)
Solve -r**2/6 + 105*r/2 + 800/3 = 0.
-5, 320
Find i, given that -38*i**3 + 15424*i**2 + 17090*i + 1628 = 0.
-1, -2/19, 407
Find g such that 3*g**2/2 - 28563*g + 271948323/2 = 0.
9521
Solve -2*a**3/5 + 218*a**2/5 - 2766*a/5 - 3906 = 0.
-5, 21, 93
Determine x, given that -2*x**4/3 + 170*x**3/3 - 2638*x**2/3 + 2470*x/3 = 0.
0, 1, 19, 65
Factor 5*o**4/4 - 2623*o**3/4 + 458325*o**2/4 - 26613125*o/4 - 5359375/2.
(o - 175)**3*(5*o + 2)/4
Factor 5*t**2 - 673720*t + 22694931920.
5*(t - 67372)**2
Factor -2*h**5/11 + 30208*h**4/11 + 90636*h**3/11 + 8240*h**2 + 30214*h/11.
-2*h*(h - 15107)*(h + 1)**3/11
Let f**4/2 - 1494*f**3 + 1154186*f**2 - 57022992*f + 728398112 = 0. What is f?
26, 1468
What is z in -5*z**5 - 373*z**4 + 2115*z**3 - 3571*z**2 + 2314*z - 480 = 0?
-80, 2/5, 1, 3
Find h such that -4*h**2 - 576208*h - 20750978704 = 0.
-72026
Factor 2*p**2 + 572864*p + 41021645312.
2*(p + 143216)**2
Factor -2*f**3 + 184*f**2 + 5568*f.
-2*f*(f - 116)*(f + 24)
Determine x, given that -2*x**3/9 - 8*x**2/9 + 362*x/9 - 352/9 = 0.
-16, 1, 11
Determine n, given that -25*n**5 + 1415*n**4 - 4590*n**3 - 9550*n**2 + 455*n + 3975 = 0.
-1, 3/5, 5, 53
Find z, given that 2*z**4 - 1478*z**3 + 279606*z**2 - 2409730*z + 2131600 = 0.
1, 8, 365
Factor b**3/6 - 237*b**2/2 + 1768*b/3 - 706.
(b - 706)*(b - 3)*(b - 2)/6
Factor -2*o**2/3 - 1201504*o/3 - 180451482752/3.
-2*(o + 300376)**2/3
Factor -3*z**4 - 18468*z**3 - 30704778*z**2 - 7025615028*z - 434160411723.
-3*(z + 129)**2*(z + 2949)**2
Solve t**3/5 + 134*t**2/5 - 22048*t/5 + 643552/5 = 0.
-238, 52
Find j such that 18*j**5 - 1384*j**4 + 25800*j**3 + 31804*j**2 - 25818*j - 30420 = 0.
-10/9, -1, 1, 39
What is o in -3*o**3/2 + 37845*o**2/2 - 75672*o + 75666 = 0?
2, 12611
Suppose 6*o**4/5 - 159004*o**3/5 + 1053639982*o**2/5 - 561757600*o + 1404288008/5 = 0. What is o?
2/3, 2, 13249
Factor r**4/8 - 191*r**3/2 - 2299*r**2/8 - 767*r/4.
r*(r - 767)*(r + 1)*(r + 2)/8
Factor -4*s**2/5 - 90176*s/5 - 180336/5.
-4*(s + 2)*(s + 22542)/5
Factor q**2 + 41*q + 180.
(q + 5)*(q + 36)
Determine r so that 2*r**2/5 - 152616*r/5 + 2911455432/5 = 0.
38154
Find f such that -2*f**3/11 + 788*f**2/11 + 20818*f/11 + 5028 = 0.
-22, -3, 419
Factor 2*w**3/13 - 578*w**2/13 - 1760*w/13 + 2336/13.
2*(w - 292)*(w - 1)*(w + 4)/13
Find v such that -v**2 - 3285*v - 26216 = 0.
-3277, -8
Let -2*y**4 - 1352*y**3/7 + 3354*y**2/7 - 1188*y/7 = 0. What is y?
-99, 0, 3/7, 2
Let -o**4/2 + 2197*o**3 - 21953*o**2/2 + 17558*o - 8778 = 0. Calculate o.
1, 2, 4389
Factor 2*d**3/5 - 336*d**2/5.
2*d**2*(d - 168)/5
What is o in 5*o**2 + 362880*o + 362875 = 0?
-72575, -1
Factor 4*i**4/5 - 176*i**3 + 37164*i**2/5.
4*i**2*(i - 163)*(i - 57)/5
Determine g, given that -3*g**4 - 717*g**3 + 9*g**2 + 2145*g - 1434 = 0.
-239, -2, 1
Factor 3*h**3/5 - 81*h**2 - 14454*h/5 + 30504/5.
3*(h - 164)*(h - 2)*(h + 31)/5
Find o such that -3*o**2 + 669*o - 27030 = 0.
53, 170
Find j, given that j**5 + 122*j**4 + 2553*j**3 - 76176*j**2 = 0.
-69, 0, 16
Factor -2*w**2/9 + 14488*w/9 + 1610.
-2*(w - 7245)*(w + 1)/9
Factor -4*c**3 + 1031532*c**2 - 66504157452*c + 66503125924.
-4*(c - 128941)**2*(c - 1)
Let s**2/4 - 141*s/4 + 2107/2 = 0. What is s?
43, 98
Suppose 2*d**5/7 + 358*d**4/7 - 5694*d**3/7 + 3478*d**2 - 2716*d = 0. Calculate d.
-194, 0, 1, 7
Find t, given that t**3/4 + 12*t**2 - 1255*t/4 + 603/2 = 0.
-67, 1, 18
Solve 6*m**3 - 15537*m**2 + 7767*m = 0.
0, 1/2, 2589
Suppose -2*i**4/7 - 7972*i**3/7 - 7975914*i**2/7 - 63393408*i/7 - 94946904/7 = 0. Calculate i.
-1989, -6, -2
Factor 5*w**2 - 4470*w - 654080.
5*(w - 1022)*(w + 128)
Determine d so that 6*d**2 - 3152*d + 4192 = 0.
4/3, 524
Factor -5*u**4 - 137070*u**3 - 938860805*u**2 + 7517467080*u - 15039321680.
-5*(u - 4)**2*(u + 13711)**2
What is j in 5*j**4 - 8170*j**3 - 24555*j**2 = 0?
-3, 0, 1637
Find d, given that -4*d**2 - 818548*d + 2455680 = 0.
-204640, 3
Determine l so that -4*l**5 - 11124*l**4 - 231660*l**3 + 496708*l**2 - 253920*l = 0.
-2760, -23, 0, 1
Determine l, given that 5*l**4 + 213*l**3 - 19666*l**2 + 27192*l - 7744 = 0.
-88, 2/5, 1, 44
Determine y so that -y**4/3 + 1054402*y**3/3 - 123529403556*y**2 + 43416755937720830*y/3 - 43416385350564563/3 = 0.
1, 351467
Determine c so that -2*c**3/9 + 448*c**2/3 - 49790*c/3 + 4579900/9 = 0.
65, 542
Find i such that -i**5 - 1000*i**4 - 990*i**3 + 9000*i**2 + 8991*i = 0.
-999, -3, -1, 0, 3
Factor -3*q**2/7 - 13626*q/7 - 25233.
-3*(q + 13)*(q + 4529)/7
Factor -2*b**4/3 - 15320*b**3/9 + 10216*b**2/9.
-2*b**2*(b + 2554)*(3*b - 2)/9
What is l in -5*l**2 + 3375*l - 74980 = 0?
23, 652
Factor 2*i**4 + 3650*i**3 - 553248*i**2 + 26998272*i - 435511296.
2*(i - 48)**3*(i + 1969)
What is u in u**5 + 204*u**4 + 85*u**3 