- 65)*(k - 1)*(k + 1)/4
Let 2*i**2/9 - 40*i/3 - 2072/9 = 0. What is i?
-14, 74
Determine w, given that -2*w**5/17 + 100*w**4/17 - 282*w**3/17 - 8*w**2/17 + 376*w/17 = 0.
-1, 0, 2, 47
Suppose -f**4/2 - 638*f**3 + 27217*f**2/2 - 12970*f = 0. What is f?
-1297, 0, 1, 20
Find s such that 5*s**2/4 - 30945*s - 123785/4 = 0.
-1, 24757
Find q, given that -3*q**4/2 - 36*q**3 - 267*q**2 - 504*q + 1617/2 = 0.
-11, -7, 1
Let -3*p**2 - 2997*p + 410286 = 0. What is p?
-1121, 122
Let a**3 - 17*a**2 + 40*a + 156 = 0. What is a?
-2, 6, 13
Let 4*d**4 + 448*d**3 + 12200*d**2 + 23072*d + 11316 = 0. Calculate d.
-69, -41, -1
Factor 7*m**3/3 + 604*m**2/3 - 26260*m/3 - 7552/3.
(m - 32)*(m + 118)*(7*m + 2)/3
Factor 5*q**2/3 + 1551265*q/3 - 517090.
5*(q - 1)*(q + 310254)/3
Suppose -5*p**5 + 70*p**4 - 150*p**3 - 200*p**2 + 355*p + 330 = 0. Calculate p.
-1, 2, 3, 11
Factor 3*h**3/2 + 370923*h**2/2 + 5733124956*h + 28660988430.
3*(h + 5)*(h + 61818)**2/2
Let -3*o**2 + 3033*o + 3036 = 0. What is o?
-1, 1012
Let -u**3 + 689*u**2 - 114075*u - 1601613 = 0. What is u?
-13, 351
Factor -2*v**2 - 83608*v - 873787208.
-2*(v + 20902)**2
Solve 3*t**5/8 + 18213*t**4/8 + 27651885*t**3/8 + 27633675*t**2/8 = 0.
-3035, -1, 0
Factor -5*r**3 - 100*r**2 + 7905*r.
-5*r*(r - 31)*(r + 51)
Find c such that 3*c**3 + 101*c**2 - 490*c + 152 = 0.
-38, 1/3, 4
Factor 3*d**5 - 513*d**4 - 2640*d**3.
3*d**3*(d - 176)*(d + 5)
Determine r, given that r**3/2 + 75*r**2 - 812*r - 1920 = 0.
-160, -2, 12
Suppose 4*g**3 - 123504*g**2 + 1234740*g - 3086600 = 0. Calculate g.
5, 30866
Factor -121*k**3/4 + 539*k**2 - 3116*k + 5776.
-(k - 4)*(11*k - 76)**2/4
Find n such that 3*n**4/7 - 755*n**3 + 19343*n**2/7 - 8787*n/7 - 5274/7 = 0.
-1/3, 1, 3, 1758
Suppose 4*i**5/19 + 8462*i**4/19 + 38026*i**3/19 + 59126*i**2/19 + 38002*i/19 + 8444/19 = 0. Calculate i.
-2111, -2, -1, -1/2
Determine y so that -4*y**5 + 220*y**4 + 10332*y**3 + 69156*y**2 + 70632*y - 150336 = 0.
-24, -6, -3, 1, 87
Factor k**2/5 + 263*k/5 + 506.
(k + 10)*(k + 253)/5
Let 2*r**4/5 - 328*r**3/5 + 3866*r**2/5 + 1812*r = 0. Calculate r.
-2, 0, 15, 151
Factor -2*m**4/7 + 481140*m**3/7 - 5511664896*m**2 + 147308428804096*m + 884049007607808.
-2*(m - 80192)**3*(m + 6)/7
Find r such that -80*r**5 - 31909400*r**4 - 3181897673725*r**3 + 1590970774625*r**2 + 1392089206800*r + 198869601780 = 0.
-199434, -1/4, 1
Let -1266648100*s**2 - 2562480*s - 1296 = 0. Calculate s.
-18/17795
Suppose -5*v**2 + 6740*v - 13460 = 0. What is v?
2, 1346
Factor -2*u**5/11 + 2830*u**4/11 + 11340*u**3/11 + 17020*u**2/11 + 11350*u/11 + 258.
-2*(u - 1419)*(u + 1)**4/11
Solve 3*o**4/4 + 39*o**3 - 7695*o**2/2 - 309825*o - 22690125/4 = 0 for o.
-45, 83
Factor -5*x**3 - 195970*x**2 - 1920016060*x + 3840816040.
-5*(x - 2)*(x + 19598)**2
Factor -s**3/2 - 431*s**2 - 189161*s/2 - 729316.
-(s + 8)*(s + 427)**2/2
Find b such that -b**4 - 21*b**3 + 474*b**2 + 7784*b - 17280 = 0.
-27, -16, 2, 20
Factor i**3/3 - 3994*i**2/3 + 19931*i/3 + 55846/3.
(i - 3989)*(i - 7)*(i + 2)/3
Factor -x**2 + 25232*x - 159163456.
-(x - 12616)**2
Factor 4*f**2/3 - 1612*f - 83368/3.
4*(f - 1226)*(f + 17)/3
Solve -18*p**5/11 + 9726*p**4 + 785346*p**3/11 + 1107126*p**2/11 - 1428144*p/11 - 51936 = 0 for p.
-4, -1/3, 1, 5951
Solve -5*s**4 - 4665*s**3 - 50280*s**2 + 396940*s + 442560 = 0.
-922, -16, -1, 6
Find j, given that j**4 - 63*j**3 - 4712*j**2 + 252*j + 18832 = 0.
-44, -2, 2, 107
Factor 2*b**3 + 3860*b**2 + 30734*b - 34596.
2*(b - 1)*(b + 9)*(b + 1922)
Factor 3*o**2/2 - 69687*o/2 + 69681.
3*(o - 23227)*(o - 2)/2
Factor -99*g**4 + 700329*g**3/2 - 825694965*g**2/2 + 324506461491*g/2 - 4916575017/2.
-3*(g - 1179)**3*(66*g - 1)/2
Solve -q**4/5 + 106*q**3 - 4713*q**2/5 + 12524*q/5 - 2084 = 0.
2, 5, 521
Find d such that 6*d**5 + 207*d**4/4 + 285*d**3/4 - 747*d**2/4 - 309*d/4 + 135 = 0.
-45/8, -4, -1, 1
Let -2*w**5/3 - 724*w**4/3 + 12760*w**3/3 - 15972*w**2 - 20466*w = 0. What is w?
-379, -1, 0, 9
Solve -i**5 - 34889*i**4 - 139545*i**3 - 174427*i**2 - 69770*i = 0 for i.
-34885, -2, -1, 0
Factor 3*u**2/7 - 54569*u/7 - 18190/7.
(u - 18190)*(3*u + 1)/7
Factor c**2 - 126728*c - 506928.
(c - 126732)*(c + 4)
Let -v**2/6 + 7543*v/6 - 7541/3 = 0. What is v?
2, 7541
Factor 3*m**2/7 - 6024*m/7 + 3024048/7.
3*(m - 1004)**2/7
Determine m so that -m**2/4 - 6441*m/4 + 136143/2 = 0.
-6483, 42
Determine c so that 2*c**5/7 - 46*c**4/7 - 14236*c**3/7 - 51384*c**2 + 53424*c = 0.
-42, 0, 1, 106
Factor 3*m**2 - 7398*m + 662067.
3*(m - 2373)*(m - 93)
Find n such that n**3 + 28689*n**2 + 114744*n + 114740 = 0.
-28685, -2
Suppose -x**4/4 + 11*x**3/2 + 499*x**2/4 - 748*x - 867 = 0. Calculate x.
-17, -1, 6, 34
Determine q, given that -2*q**3/19 + 26*q**2 - 16352*q/19 - 1918440/19 = 0.
-45, 146
Factor b**3/4 - 5567*b**2/4 - 19513*b/2 + 11148.
(b - 5574)*(b - 1)*(b + 8)/4
Let 3*g**2/2 + 8925*g/8 + 8901/4 = 0. Calculate g.
-2967/4, -2
Factor 2*n**2/5 - 1006104*n + 632653286760.
2*(n - 1257630)**2/5
Suppose 2*i**3 - 192*i**2 + 1368*i + 3520 = 0. Calculate i.
-2, 10, 88
Factor 4*m**2/5 - 892*m/5 + 3680.
4*(m - 200)*(m - 23)/5
Let -j**2 + 5530*j + 5531 = 0. Calculate j.
-1, 5531
Let -74*u**2/9 + 20104*u/3 - 1630/9 = 0. What is u?
1/37, 815
Factor -2*a**3 + 48179*a**2 + 72272*a + 24091.
-(a - 24091)*(a + 1)*(2*a + 1)
Solve -38*d**2 - 1208*d + 2568 = 0.
-642/19, 2
Suppose -3*z**3 + 3543*z**2 - 1127472*z + 47092332 = 0. Calculate z.
49, 566
Suppose 2*m**3 + 6438*m**2 + 5190624*m + 15513984 = 0. Calculate m.
-1608, -3
Factor 3*u**2/4 + 3795*u/4 + 13209/2.
3*(u + 7)*(u + 1258)/4
Suppose 2*t**3/21 + 4166*t**2/21 - 5980*t/3 = 0. Calculate t.
-2093, 0, 10
Determine l, given that 13*l**5 - 24*l**4 - 979*l**3 - 3374*l**2 - 2784*l - 352 = 0.
-4, -1, -2/13, 11
Suppose -4*m**3 - 1696*m**2 - 174580*m + 1109400 = 0. What is m?
-215, 6
Solve g**5/7 - 3*g**4/7 - 86*g**3/7 - 264*g**2/7 - 32*g/7 + 384/7 = 0 for g.
-4, -2, 1, 12
Factor n**2 - 35951*n + 107844.
(n - 35948)*(n - 3)
Let -q**5/3 - 1220*q**4/3 - 124439*q**3 - 247254*q**2 = 0. What is q?
-609, -2, 0
Determine t, given that -528*t**5/7 - 28740*t**4 - 2723568*t**3 + 18778353*t**2/7 - 4378866*t/7 - 109443/7 = 0.
-191, -1/44, 1/2
Factor -4*z**2/3 + 22936*z - 98636268.
-4*(z - 8601)**2/3
Find i such that 4*i**5/3 - 148*i**4/9 - 284*i**3/9 + 2012*i**2/3 - 192*i - 432 = 0.
-6, -2/3, 1, 9
Find v, given that -2*v**2/11 + 21884*v/11 - 59863682/11 = 0.
5471
Factor -305*c**2 - 256*c.
-c*(305*c + 256)
Factor t**3 + 621*t**2 - 10128*t + 40768.
(t - 8)**2*(t + 637)
Factor -754*a**2/5 - 12816*a/5 + 34/5.
-2*(a + 17)*(377*a - 1)/5
Find g such that -3*g**2/2 + 16428*g - 32853/2 = 0.
1, 10951
What is o in -3*o**5/8 - 39*o**4/4 - 63*o**3/8 + 39*o**2 + 75*o/2 = 0?
-25, -2, -1, 0, 2
Determine b, given that b**2 - 2083*b + 242916 = 0.
124, 1959
Factor -2*b**3/11 + 250722*b**2/11 - 501436*b/11.
-2*b*(b - 125359)*(b - 2)/11
Factor -3*m**4 + 105*m**3 + 2496*m**2 + 8112*m.
-3*m*(m - 52)*(m + 4)*(m + 13)
Factor 30*y**3 - 441*y**2 - 1155*y - 306.
3*(y - 17)*(y + 2)*(10*y + 3)
Solve -8*s**4 + 704*s**3 + 56310*s**2 + 55778*s + 13900 = 0.
-50, -1/2, 139
Factor 2*u**2/7 - 248*u + 5190/7.
2*(u - 865)*(u - 3)/7
Factor 5*m**2 - 1715*m - 36300.
5*(m - 363)*(m + 20)
Factor 22*p**3 + 94032*p**2 + 100486014*p + 18267076.
2*(p + 2137)**2*(11*p + 2)
Determine n so that 10*n**4/7 + 796*n**3/7 - 5550*n**2/7 - 3928*n/7 + 344 = 0.
-86, -1, 2/5, 7
Factor 3*l**2/4 - 25143*l/2 + 210723483/4.
3*(l - 8381)**2/4
Factor -n**3/7 + 127*n**2/7 - 3007*n/7 - 3135/7.
-(n - 95)*(n - 33)*(n + 1)/7
Let -10*t**2/19 - 876*t/19 + 2718/19 = 0. What is t?
-453/5, 3
Factor -m**5/2 - 25*m**4/2 + 87*m**3 - 181*m**2 + 307*m/2 - 93/2.
-(m - 3)*(m - 1)**3*(m + 31)/2
Factor b**4/2 - 27*b**3/4 - 183*b**2/2 - 44*b.
b*(b - 22)*(b + 8)*(2*b + 1)/4
Solve 61*i**3 + 16349*i**2/4 - 16525*i/4 - 17 = 0.
-68, -1/244, 1
What is u in 2*u**3/7 + 4080*u**2 + 969306*u/7 + 8234188/7 = 0?
-14246, -17
Suppose -4*k**3 + 172*k**2 - 1288*k - 8160 = 0. What is k?
-4, 17, 30
Factor q**2/6 - 314*q/3 + 15200.
(q - 400)*(q - 228)/6
Factor 2*c**5/19 - 9926*c**4/19 - 9928*c**3/19.
2*c**3*(c - 4964)*(c + 1)/19
Solve r**4/3 + 380*r**3/3 + 1361*r**2 + 2940*r - 4428 = 0 for r.
-369, -6, 1
Determine s so that -4*s**5 + 568*s**4/3 + 3640*s**3/3 - 1552*s**2/3 - 18988*s/3 + 2120 = 0.
-5, -3, 1/3, 2, 53
Solve 2205*k**5 + 1