te u.
-1585, 1, 8
Suppose b**5/2 - 17*b**4/2 + 41*b**3/2 + 437*b**2/2 - 531*b - 1620 = 0. What is b?
-4, -2, 5, 9
Find v, given that 2*v**4/5 - 28*v**3/5 + 64*v**2/5 + 28*v/5 - 66/5 = 0.
-1, 1, 3, 11
Suppose 4*u**5 + 7132*u**4 + 71016*u**3 + 170080*u**2 - 227456*u - 907776 = 0. What is u?
-1773, -4, 2
Factor a**4/4 + 1437*a**3/4 - 8766*a**2.
a**2*(a - 24)*(a + 1461)/4
Factor 3*n**3 - 1459665*n**2 - 2919339*n - 1459671.
3*(n - 486557)*(n + 1)**2
Suppose j**4/4 - 613*j**3/2 + 381833*j**2/4 - 926896*j + 831744 = 0. Calculate j.
1, 9, 608
Factor 4*v**3 - 84*v**2 - 6660*v - 6572.
4*(v - 53)*(v + 1)*(v + 31)
Suppose -28*m**5 + 204*m**4 + 28*m**3 - 668*m**2 + 576*m - 112 = 0. Calculate m.
-2, 2/7, 1, 7
Find v such that 2*v**2/11 - 148312*v/11 + 2749556168/11 = 0.
37078
Factor -2*u**2/5 + 40058*u/5 - 40056/5.
-2*(u - 20028)*(u - 1)/5
Find q such that -q**4/6 - 25*q**3/2 - 1601*q**2/6 - 2563*q/2 - 1767 = 0.
-38, -31, -3
Factor -2*n**2/17 + 151100*n - 48516321250.
-2*(n - 642175)**2/17
Factor -4*n**2 - 1480*n - 21300.
-4*(n + 15)*(n + 355)
Determine f, given that -5*f**5 - 405*f**4 + 43610*f**3 - 249720*f**2 + 328320*f = 0.
-144, 0, 2, 4, 57
Factor 270*h**2 + 1585*h - 210.
5*(h + 6)*(54*h - 7)
Suppose 10*f**3/9 - 668*f**2/9 + 2966*f/9 + 620/9 = 0. Calculate f.
-1/5, 5, 62
Solve -i**5 - 34*i**4 - 315*i**3 - 490*i**2 + 1616*i + 1824 = 0.
-19, -12, -4, -1, 2
What is h in -21*h**2/4 - 1593663*h/4 + 227667/2 = 0?
-75889, 2/7
Factor -5*a**3 - 106300*a**2 + 212615*a - 106310.
-5*(a - 1)**2*(a + 21262)
Factor -2*c**3 + 628*c**2 - 3712*c + 4928.
-2*(c - 308)*(c - 4)*(c - 2)
Suppose -4*u**4 - 292*u**3 + 5784*u**2 - 29808*u + 38880 = 0. Calculate u.
-90, 2, 6, 9
Factor 2*w**3/3 + 16*w**2 + 286*w/3 + 80.
2*(w + 1)*(w + 8)*(w + 15)/3
What is n in -2*n**5/17 + 334*n**4/17 - 5558*n**3/17 + 29194*n**2/17 - 43040*n/17 + 19072/17 = 0?
1, 8, 149
Factor -3*k**2/4 + 159*k/4 + 225345/2.
-3*(k - 415)*(k + 362)/4
Determine c, given that -4*c**3/5 + 528*c**2 + 13276*c/5 + 3192 = 0.
-3, -2, 665
Suppose 2*b**4/9 + 32*b**3/9 - 100*b**2/9 - 800*b/3 - 750 = 0. Calculate b.
-15, -5, 9
Factor -2*b**2 + 1958*b + 1960.
-2*(b - 980)*(b + 1)
Solve 5*k**3 - 195*k**2 - 405*k - 205 = 0 for k.
-1, 41
Let r**2 - 280375*r - 280376 = 0. Calculate r.
-1, 280376
Find n such that -2*n**5/15 + 6*n**4/5 + 8*n**3/5 - 608*n**2/15 + 576*n/5 - 96 = 0.
-6, 2, 5, 6
What is b in -b**4/4 - 27*b**3/4 - 109*b**2/4 + 1107*b/4 + 595/2 = 0?
-17, -14, -1, 5
Find k, given that -2*k**3/3 + 2710*k**2 - 5418*k + 8126/3 = 0.
1, 4063
Factor j**2/7 - 1381*j/7 - 222942/7.
(j - 1527)*(j + 146)/7
Determine k, given that 2*k**5/7 - 124*k**4 + 67992*k**3/7 - 2179756*k**2/7 + 31810886*k/7 - 25112688 = 0.
21, 23, 344
Factor 2*c**5/3 - 374*c**4/3 + 18032*c**3/3 - 16928*c**2.
2*c**2*(c - 92)**2*(c - 3)/3
Solve -2*c**4 - 2303*c**3/5 - 27042*c**2 - 300276*c/5 - 77976/5 = 0 for c.
-114, -2, -3/10
Factor -2*q**2 - 84088*q + 588714.
-2*(q - 7)*(q + 42051)
Factor -n**2/7 - 185004*n/7 - 8556620004/7.
-(n + 92502)**2/7
Find u such that -u**3/2 - 12092*u**2 - 73084042*u + 292529672 = 0.
-12094, 4
Solve 6*c**4/7 + 116*c**3/7 + 106*c**2/7 - 4804*c/7 + 3120/7 = 0 for c.
-13, -12, 2/3, 5
Factor 36*t**3/7 - 581124*t**2/7 - 387428*t/7 - 64572/7.
4*(t - 16143)*(3*t + 1)**2/7
Factor -2*s**2 + 18642*s + 130592.
-2*(s - 9328)*(s + 7)
Suppose 84*u**4 - 4269*u**3 - 6678*u**2 + 79935*u - 19500 = 0. What is u?
-5, 1/4, 25/7, 52
Factor -u**4/3 + 32152*u**3/3 - 114854088*u**2 + 1230546613088*u/3 + 2462471732464/3.
-(u - 10718)**3*(u + 2)/3
Solve 4*l**3 + 29716*l**2 + 55234588*l + 165436428 = 0.
-3713, -3
Let -g**5/8 - 599*g**4/8 + 2425*g**3/4 - 1825*g**2/4 - 4849*g/8 + 4249/8 = 0. Calculate g.
-607, -1, 1, 7
Factor -q**3/3 + 182*q**2/3 + 1931*q/3 - 704.
-(q - 192)*(q - 1)*(q + 11)/3
Solve -36*l**2 - 193825*l - 5384 = 0 for l.
-5384, -1/36
Suppose 20*r**4 - 3685*r**3 + 118440*r**2 + 220540*r - 62480 = 0. Calculate r.
-2, 1/4, 44, 142
Suppose 5*j**2 - 469780*j + 11034662420 = 0. Calculate j.
46978
Factor -2*c**2 + 27494*c + 27496.
-2*(c - 13748)*(c + 1)
What is i in -2*i**2/3 - 3131096*i/3 - 1225470270152/3 = 0?
-782774
Find j such that -24*j**2 - 378508*j = 0.
-94627/6, 0
Solve -2*h**5 + 3912*h**4 - 42844*h**3 + 105080*h**2 - 97266*h + 31120 = 0 for h.
1, 8, 1945
Find t such that -4*t**4 + 624*t**3 - 36112*t**2 + 918528*t - 8667136 = 0.
32, 46
Solve -2*a**4 - 276*a**3 - 1570*a**2 + 1848*a = 0 for a.
-132, -7, 0, 1
Suppose o**4/4 - 387*o**3/2 - 1755*o**2 - 10557*o/2 - 21141/4 = 0. Calculate o.
-3, 783
Solve 330*t**5/13 + 556*t**4/13 - 200*t**3/13 + 16*t**2/13 = 0 for t.
-2, 0, 2/15, 2/11
Factor d**2 + 2890*d - 408375.
(d - 135)*(d + 3025)
Factor 4*s**2 + 217712*s + 435408.
4*(s + 2)*(s + 54426)
Factor 10*z**3/3 + 303316*z**2/3 - 121328*z/3.
2*z*(z + 30332)*(5*z - 2)/3
Find w, given that w**5 - 305*w**4 - 2576*w**3 + 22696*w**2 - 50192*w + 35056 = 0.
-14, 2, 313
Determine o, given that -o**2/5 + 43102*o/5 - 464445601/5 = 0.
21551
Factor 2*g**2/3 + 260*g - 15542/3.
2*(g - 19)*(g + 409)/3
Find x such that 3*x**4 + 621*x**3 + 31155*x**2 - 105525*x - 330750 = 0.
-105, -2, 5
Factor 3*c**5 + 11652*c**4 - 528390*c**3 + 7946100*c**2 - 39781125*c.
3*c*(c - 15)**3*(c + 3929)
Factor 2*r**2/11 + 3010100*r/11 + 1132587751250/11.
2*(r + 752525)**2/11
Solve 63*b**5 + 134*b**4 - 47*b**3 - 134*b**2 - 16*b = 0.
-2, -1, -8/63, 0, 1
Factor 4*r**3/5 + 155*r**2 + 1342*r/5 - 384/5.
(r + 2)*(r + 192)*(4*r - 1)/5
Factor -2357685136*r**3 + 582672*r**2 - 36*r.
-4*r*(24278*r - 3)**2
Factor -2*j**2/3 - 95152*j - 3395213664.
-2*(j + 71364)**2/3
Suppose -4*w**3 - 64*w**2 - 220*w + 288 = 0. Calculate w.
-9, -8, 1
Find j, given that 36000*j**5 + 79950*j**4 + 16530*j**3 + 3842*j**2/3 + 374*j/9 + 4/9 = 0.
-2, -1/15, -1/48
Factor -3*p**3/5 + 106023*p**2/5 - 2543256*p/5 + 15256944/5.
-3*(p - 35317)*(p - 12)**2/5
Factor -5*l**3 + 1495*l**2 + 28145*l + 122045.
-5*(l - 317)*(l + 7)*(l + 11)
Solve 6*d**2 + 314*d - 996 = 0.
-166/3, 3
What is i in -2*i**3 - 20062*i**2 - 40118*i - 20058 = 0?
-10029, -1
Let -24*t**5 + 554*t**4/3 - 3346*t**3/9 + 54*t**2 + 1210*t/9 + 68/3 = 0. What is t?
-1/3, -2/9, 1, 3, 17/4
Let -31*w**5/3 - 95*w**4/3 - 22*w**3 + 62*w**2/3 + 97*w/3 + 11 = 0. What is w?
-33/31, -1, 1
Factor q**3 - 229*q**2 - 232*q + 460.
(q - 230)*(q - 1)*(q + 2)
Factor -i**5/7 + 1291*i**4/7 - 1290*i**3/7.
-i**3*(i - 1290)*(i - 1)/7
Find h, given that -11236*h**3/5 + 248464*h**2/5 - 1373584*h/5 = 0.
0, 586/53
Let 2*t**4/9 + 64*t**3/3 + 4508*t**2/9 - 64*t/3 - 4510/9 = 0. What is t?
-55, -41, -1, 1
Factor -4186*y**2/3 - 4168*y/3 + 6.
-2*(y + 1)*(2093*y - 9)/3
Suppose -x**4/3 - 17*x**3 - 283*x**2 - 5021*x/3 - 2346 = 0. What is x?
-23, -17, -9, -2
Determine x so that 2*x**2 + 13800*x + 23805000 = 0.
-3450
Solve -10800*w**5/7 + 54360*w**4/7 - 34203*w**3/7 - 96105*w**2/7 + 3231*w/7 - 27/7 = 0 for w.
-1, 1/60, 3
Factor -r**3 + 188*r**2 + 34660*r - 70064.
-(r - 302)*(r - 2)*(r + 116)
Solve -2*n**5 + 358*n**3 - 2244*n**2 + 3424*n - 1536 = 0.
-16, 1, 6, 8
Suppose b**3/3 - 475*b**2/3 + 72743*b/3 - 3531869/3 = 0. Calculate b.
101, 187
Find m such that 5*m**5 + 5115*m**4 + 1315575*m**3 + 3672405*m**2 - 58109400*m + 105340500 = 0.
-510, -9, 3
Let -4*d**4 + 64*d**3 + 2784*d**2 - 45056*d - 100672 = 0. What is d?
-26, -2, 22
Factor -w**2/4 - 36387*w/4 - 90955/2.
-(w + 5)*(w + 36382)/4
Let n**5 - 306*n**4 + 23406*n**3 + 916*n**2 - 69615*n - 46818 = 0. What is n?
-1, 2, 153
Determine v, given that -12*v**5/5 - 188*v**4/5 + 328*v**3/5 + 968*v**2/5 + 52*v - 204/5 = 0.
-17, -1, 1/3, 3
Find b such that 2*b**3 - 32338*b**2 + 258608*b - 517152 = 0.
4, 16161
Factor j**3/5 + 817*j**2/5 - 9108*j/5.
j*(j - 11)*(j + 828)/5
Find v, given that 2*v**4/15 + 16*v**3/5 - 1364*v**2/15 - 1744*v - 1650 = 0.
-33, -15, -1, 25
Factor -4*o**3 - 39428*o**2 - 97140732*o + 97180164.
-4*(o - 1)*(o + 4929)**2
Suppose v**2/4 + 9839*v/4 - 2460 = 0. Calculate v.
-9840, 1
Factor 4*d**2 - 108488*d.
4*d*(d - 27122)
Factor 3*a**3 + 1266*a**2 + 37533*a + 36270.
3*(a + 1)*(a + 31)*(a + 390)
Factor v**2/3 - 29708*v/3 + 220641316/3.
(v - 14854)**2/3
Factor -4*a**4 - 2723*a**3 - 2033*a**2 + 4760*a.
-a*(a - 1)*(a + 680)*(4*a + 7)
Solve -55*h**5 + 4680*h**4 - 102060*h**3 + 105840*h**2 = 0.
0, 12/11, 42
Find r such that -r**5 + 109*r**4 + 26902*r**3 + 132026*