15*b**3 - 177*b**2 + 402*b + 2184.
-3*(b - 4)*(b + 13)*(5*b + 14)
Factor 4*n**4 + 80*n**3 + 12*n**2 - 1136*n + 1520.
4*(n - 2)**2*(n + 5)*(n + 19)
Determine t, given that -320*t**3 + 114480*t**2 - 85725*t + 16065 = 0.
3/8, 357
Factor 2*b**2/3 - 292*b/3 + 286.
2*(b - 143)*(b - 3)/3
Determine d so that -d**2/3 - 1001*d - 6002/3 = 0.
-3001, -2
Solve u**3/9 - 2357*u**2/9 + 677440*u/9 - 17382400/3 = 0 for u.
160, 2037
Factor -w**2 + 405*w - 36846.
-(w - 267)*(w - 138)
Let 2*t**3 + 1116*t**2 + 35410*t - 116328 = 0. Calculate t.
-524, -37, 3
Factor a**3/4 - 5029*a**2/2 + 25290841*a/4.
a*(a - 5029)**2/4
What is w in 2*w**5/11 - 2900*w**4/11 + 5784*w**3/11 + 11600*w**2/11 - 23168*w/11 = 0?
-2, 0, 2, 1448
Factor 54*b**2 + 3660*b + 1214.
2*(3*b + 1)*(9*b + 607)
Solve 2*x**4/19 - 33514*x**3/19 + 140381762*x**2/19 + 7393806*x - 14780556 = 0.
-2, 1, 8379
Factor 2*z**3/7 - 246*z**2/7 + 7660*z/7 - 14352/7.
2*(z - 69)*(z - 52)*(z - 2)/7
Solve -2044*o**3/3 + 40904*o**2/3 - 204880*o/3 + 800 = 0.
6/511, 10
Find k, given that k**5 - 24*k**4 + 166*k**3 - 180*k**2 - 959*k - 588 = 0.
-1, 7, 12
Let -2*u**2/5 + 1444*u/5 + 87136/5 = 0. What is u?
-56, 778
Determine w so that -3*w**4/7 - 264*w**3/7 + 2889*w**2/7 - 4974*w/7 + 336 = 0.
-98, 1, 8
Factor 3*a**2/4 + 4431*a/4.
3*a*(a + 1477)/4
Factor -13032100*t**3 + 76719720*t**2 + 8795664*t + 249696.
-4*(t - 6)*(1805*t + 102)**2
What is u in -3*u**5/2 + 139*u**4 - 3855*u**3 + 28650*u**2 - 70807*u/2 - 15129 = 0?
-1/3, 2, 9, 41
Find g, given that -30*g**4 + 497467*g**3 + 381418*g**2 - 149245*g - 33166 = 0.
-1, -1/6, 2/5, 16583
Determine t so that 5*t**3/3 - 3345*t**2 - 37040*t + 262340/3 = 0.
-13, 2, 2018
What is i in 3*i**2/5 + 171*i/5 - 1134/5 = 0?
-63, 6
Factor 2*d**3 + 282*d**2 + 820*d - 1104.
2*(d - 1)*(d + 4)*(d + 138)
Solve 2*b**3/5 + 196938*b**2/5 - 787776*b/5 + 787784/5 = 0 for b.
-98473, 2
Factor 4*h**4/9 + 1132*h**3/9 + 75980*h**2/9 - 588700*h/9.
4*h*(h - 7)*(h + 145)**2/9
Factor -q**2/3 + 436*q/3 + 292.
-(q - 438)*(q + 2)/3
Suppose -3*t**2 - 1620*t + 1623 = 0. Calculate t.
-541, 1
Suppose -2*w**4/19 - 3590*w**3/19 + 28822*w**2/19 - 46866*w/19 + 21636/19 = 0. What is w?
-1803, 1, 6
Factor -3*a**2 - 1917*a + 1920.
-3*(a - 1)*(a + 640)
Determine l so that 3*l**2/5 - 62121*l/5 - 62124/5 = 0.
-1, 20708
Find k, given that -8*k**4 - 124*k**3 + 444*k**2 - 32*k - 592 = 0.
-37/2, -1, 2
Factor u**2 - 1204*u + 328915.
(u - 785)*(u - 419)
Factor o**2/2 - 101843*o + 10371996649/2.
(o - 101843)**2/2
Suppose u**4 + 6*u**3 - 13*u**2 - 66*u + 72 = 0. What is u?
-6, -4, 1, 3
Factor -p**4 + 69*p**3 + 216*p**2.
-p**2*(p - 72)*(p + 3)
Solve 2*t**5/5 + 13838*t**4/5 + 4785872*t**3 - 4788640*t**2 = 0.
-3460, 0, 1
Suppose 2*p**4/13 - 278*p**3/13 + 2598*p**2/13 - 2322*p/13 = 0. Calculate p.
0, 1, 9, 129
Factor l**2/3 + 11443*l/3 + 22874.
(l + 6)*(l + 11437)/3
What is i in 9*i**2 + 6942*i - 4632 = 0?
-772, 2/3
Factor -2*g**2/7 + 10128*g/7 - 99880.
-2*(g - 4994)*(g - 70)/7
Suppose -o**3 + 431*o**2 + 3512*o = 0. Calculate o.
-8, 0, 439
Factor -2*l**2 + 16180*l + 145782.
-2*(l - 8099)*(l + 9)
Factor 3*k**2 + 97806*k + 195600.
3*(k + 2)*(k + 32600)
Factor q**5 + 63*q**4 + 1508*q**3 + 16688*q**2 + 79968*q + 104272.
(q + 2)*(q + 14)**3*(q + 19)
Factor 3*q**3 - 47247*q**2 - 141762*q - 94512.
3*(q - 15752)*(q + 1)*(q + 2)
Factor 3*r**3/2 - 1065*r**2/2 + 531*r.
3*r*(r - 354)*(r - 1)/2
Solve -2*o**5/3 + 721*o**4/6 + 943*o**3/2 - 12773*o**2/6 + 14195*o/6 - 828 = 0 for o.
-27/4, 1, 184
Find c, given that -2*c**5/13 - 92*c**4/13 + 716*c**3/13 - 1384*c**2/13 - 282*c/13 + 1908/13 = 0.
-53, -1, 2, 3
Find i such that i**2/9 - 25*i/9 - 8976 = 0.
-272, 297
Factor 2*t**2 - 38846*t + 388260.
2*(t - 19413)*(t - 10)
Factor -2*f**2 - 378*f + 8360.
-2*(f - 20)*(f + 209)
Determine v so that 2*v**4/5 + 80*v**3 + 20592*v**2/5 + 410432*v/5 + 2853664/5 = 0.
-134, -22
Solve -24*h**3/7 - 459*h**2 + 990*h - 816/7 = 0.
-136, 1/8, 2
Let 5*n**3 - 3180*n**2 + 173095*n - 169920 = 0. Calculate n.
1, 59, 576
Determine o so that o**2 + 4221*o + 8438 = 0.
-4219, -2
Let -3*w**2/5 + 26028*w/5 - 752289/5 = 0. What is w?
29, 8647
Factor 38*s**3 - 535*s**2 - 1896*s + 153.
(s - 17)*(s + 3)*(38*s - 3)
Factor -5*q**2/2 + 261*q/2 - 1206.
-(q - 12)*(5*q - 201)/2
Suppose -o**5/5 + 254*o**4/5 - 1213*o**3 + 6152*o**2 + 109116*o/5 - 134064/5 = 0. Calculate o.
-3, 1, 14, 228
Factor l**4/2 + 125*l**3/2 + 3273*l**2/2 + 6175*l/2 + 1513.
(l + 1)**2*(l + 34)*(l + 89)/2
Find z, given that 3*z**5/7 + 3*z**4 - 978*z**3/7 - 8886*z**2/7 - 2055*z + 24225/7 = 0.
-17, -5, 1, 19
Find v such that 105*v**3/4 - 41515*v**2/2 + 63175*v/4 + 9875/2 = 0.
-5/21, 1, 790
Suppose -2*p**2/9 + 15740*p/9 + 63056/3 = 0. What is p?
-12, 7882
Factor z**2/3 - 766582*z/3 + 146911990681/3.
(z - 383291)**2/3
Let -5*n**2 - 19855*n - 512850 = 0. Calculate n.
-3945, -26
Determine f, given that 5*f**5 - 1360*f**4/3 + 695*f**3/3 + 18130*f**2/3 + 28660*f/3 + 4200 = 0.
-2, -1, 14/3, 90
What is b in 3*b**4/5 - 231*b**3/5 - 5424*b**2/5 - 4716*b/5 + 10368/5 = 0?
-18, -2, 1, 96
Factor 2*a**3/7 + 4890*a**2/7 + 9774*a/7 + 698.
2*(a + 1)**2*(a + 2443)/7
Factor f**4/7 + 397*f**3/7 - 1599*f**2/7 + 2003*f/7 - 802/7.
(f - 2)*(f - 1)**2*(f + 401)/7
What is t in 5*t**2/3 - 4390*t/3 - 14800 = 0?
-10, 888
Solve -q**5 + 5*q**4 + 475*q**3 + 1795*q**2 + 1326*q = 0 for q.
-17, -3, -1, 0, 26
Let 3*u**5/4 - 141*u**4/2 - 33*u**3/4 + 762*u**2 + 1263*u + 564 = 0. Calculate u.
-2, -1, 4, 94
What is u in -2*u**4 + 13*u**3 + 78*u**2 - 52*u - 280 = 0?
-7/2, -2, 2, 10
What is i in 2*i**5 - 610*i**4/11 + 4760*i**3/11 - 9920*i**2/11 - 3072*i/11 = 0?
-3/11, 0, 4, 8, 16
Suppose 4*k**4/7 + 1396*k**3/7 + 2776*k**2/7 = 0. Calculate k.
-347, -2, 0
Factor -2*c**2/25 + 34096*c/25 - 145317152/25.
-2*(c - 8524)**2/25
Determine f so that 5*f**2 - 20060*f - 1200945 = 0.
-59, 4071
Determine b so that 5*b**2/4 + 117625*b/4 - 58815/2 = 0.
-23526, 1
Let -2*h**4/15 + 188*h**3/15 + 3254*h**2/15 - 5008*h/3 + 1440 = 0. Calculate h.
-20, 1, 5, 108
Suppose -c**2/2 - 22162*c = 0. What is c?
-44324, 0
Solve 14*h**5 + 1004*h**4/9 + 2866*h**3/9 + 3436*h**2/9 + 1400*h/9 - 16/3 = 0 for h.
-3, -2, -1, 2/63
Find k such that 2*k**2/13 + 776*k/13 - 31450/13 = 0.
-425, 37
Find y, given that 100*y**5/3 + 1675*y**4/3 + 1184*y**3/3 - 268*y**2/3 - 64*y = 0.
-16, -3/4, -2/5, 0, 2/5
Solve 529*r**4/2 + 207*r**3 - 2754*r**2 - 2255*r + 9075/2 = 0.
-55/23, 1, 3
What is g in 4*g**2 + 1348*g + 6640 = 0?
-332, -5
Factor -3*a**3 - 2343*a**2 + 198198*a.
-3*a*(a - 77)*(a + 858)
Solve n**2/4 - 111*n/4 + 360 = 0.
15, 96
Solve -m**4 - 299*m**3 - 23366*m**2 - 150964*m - 127896 = 0 for m.
-146, -6, -1
Factor -g**2/4 - 676*g - 105327.
-(g + 166)*(g + 2538)/4
Solve 2*i**2/5 - 4128*i/5 + 12366/5 = 0.
3, 2061
Solve 8*p**4 - 98972*p**3 + 148408*p**2 + 395828*p + 148440 = 0.
-1, -1/2, 3, 12370
Find c, given that -527*c**3/4 - 1561*c**2/4 + 15*c = 0.
-3, 0, 20/527
What is d in 3*d**3 + 2619*d**2 + 632529*d + 25844913 = 0?
-411, -51
Find f, given that -2*f**5/21 + 16*f**4/21 + 22*f**3/21 - 12*f**2/7 = 0.
-2, 0, 1, 9
Factor -243*z**3/5 + 942*z**2/5 - 852*z/5 - 24.
-3*(z - 2)**2*(81*z + 10)/5
Suppose n**3/3 + 1658641*n**2/3 + 687771662399*n/3 - 687773321041/3 = 0. What is n?
-829321, 1
Factor -h**2/4 - 65783*h - 4327403089.
-(h + 131566)**2/4
Factor 3*q**2/4 - 7497*q/2 - 45090.
3*(q - 5010)*(q + 12)/4
Solve -3*o**2/5 + 945*o - 9438/5 = 0.
2, 1573
Suppose 2*r**4/9 - 34*r**3/9 + 22*r**2/9 + 154*r/9 + 32/3 = 0. What is r?
-1, 3, 16
Suppose o**2/9 + 33208*o/9 = 0. What is o?
-33208, 0
Find y such that -2*y**5/5 + 4448*y**4/5 + 6*y**3/5 - 2668*y**2 - 8896*y/5 = 0.
-1, 0, 2, 2224
Determine z, given that -z**3/2 + 8457*z**2/2 - 16911*z/2 + 8455/2 = 0.
1, 8455
Factor -m**3/5 - 977*m**2 - 6011943*m/5 - 112470291/5.
-(m + 19)*(m + 2433)**2/5
Factor 3*t**2 + 777*t + 50142.
3*(t + 122)*(t + 137)
Suppose 2*q**4 + 2700*q**3 - 18968*q**2 + 40692*q - 24426 = 0. What is q?
-1357, 1, 3
Factor -2*t**3 + 1194*t**2 + 25916*t + 24720.
-2*(t - 618)*(t + 1)*(t + 20)
Factor -2*d**3 - 53668*d**2 + 107342*d - 53672.
-2*(d - 1)**2*(d + 26836)
Find h such that 169*h**5 - 27105*h**4 + 1098542*h**3 - 805288*h**2 - 10517472*h - 8586368 = 0.
-2, -1, 4, 1036/13
Let 3*f**5/4 - 81*f**4/4 - 567*f**3/4 - 879*f**2/4 - 99*f = 0. What is f?
-4, -1, 0, 33
Factor -2*r**3