9976/5 = 0 for u.
-7, 2, 1428
Determine i so that -3*i**3 + 11394*i**2 - 22779*i + 11388 = 0.
1, 3796
Factor 2*n**4 + 380*n**3 + 754*n**2 + 376*n.
2*n*(n + 1)**2*(n + 188)
Solve -3*g**2 + 3699*g - 1139886 = 0 for g.
606, 627
Factor -4*h**4 - 556*h**3 - 21660*h**2 - 162500*h - 338000.
-4*(h + 4)*(h + 5)*(h + 65)**2
Factor 8820*l**3 - 19818120*l**2 - 943735*l - 11235.
5*(l - 2247)*(42*l + 1)**2
Determine h, given that -h**5/9 - 15*h**4 + 148*h**3/9 + 1636*h**2/9 + 176*h/3 - 2176/9 = 0.
-136, -2, 1, 4
Determine d, given that -8*d**3/7 + 7032*d**2 + 49230*d/7 + 12308/7 = 0.
-1/2, 6154
Factor o**4/4 + 399*o**3/4 + 195*o**2/2 - 799*o - 1194.
(o - 3)*(o + 2)**2*(o + 398)/4
Factor -4*z**2 - 148536*z - 297056.
-4*(z + 2)*(z + 37132)
Factor a**4 - 167*a**3 - 12323*a**2 + 2222583*a + 4493106.
(a - 141)**2*(a + 2)*(a + 113)
Factor -11*d**3/5 + 496*d**2/5 - 1431*d/5 + 126/5.
-(d - 42)*(d - 3)*(11*d - 1)/5
Let 4*v**4 - 257424*v**3 + 4141952152*v**2 - 8283132048*v + 4141437316 = 0. Calculate v.
1, 32177
What is b in -2*b**3 + 46*b**2 + 4714*b - 4758 = 0?
-39, 1, 61
Factor h**5 + 2439*h**4 + 4874*h**3.
h**3*(h + 2)*(h + 2437)
Factor -p**2/2 - 12423*p - 154330929/2.
-(p + 12423)**2/2
Solve 3*q**3/4 - 1671*q**2/8 + 12993*q/4 - 1572 = 0 for q.
1/2, 16, 262
Determine a so that 5*a**4 - 3015*a**3 + 440710*a**2 + 4170780*a + 6554520 = 0.
-7, -2, 306
Factor p**2 + 164212*p + 6741395236.
(p + 82106)**2
Determine d, given that -2*d**4/17 - 100*d**3/17 - 432*d**2/17 + 900*d/17 + 4050/17 = 0.
-45, -5, -3, 3
Factor 2*g**2/11 + 3186*g + 35044/11.
2*(g + 1)*(g + 17522)/11
Factor -26*c**2/5 - 1117926*c/5 - 171988/5.
-2*(c + 42997)*(13*c + 2)/5
Determine q so that -q**5/4 + 893*q**4/4 - 173693*q**3/4 - 11761145*q**2/4 - 11410179*q/2 = 0.
-51, -2, 0, 473
Suppose -4*l**5/3 + 11165*l**4 - 25118*l**3/3 - 2791*l**2 = 0. Calculate l.
-1/4, 0, 1, 8373
Find z such that -z**4/2 - 530*z**3 - 527*z**2 + 2646*z - 3177/2 = 0.
-1059, -3, 1
Let 2*k**5/7 - 28074*k**4/7 - 84234*k**3/7 - 12034*k**2 - 28080*k/7 = 0. Calculate k.
-1, 0, 14040
Suppose -45*m**5/4 + 1509*m**4/2 + 4647*m**3/2 - 912*m**2 - 9249*m/4 + 315/2 = 0. What is m?
-3, -1, 1/15, 1, 70
Solve -x**2/4 - 50934*x + 101869 = 0.
-203738, 2
Solve h**2/6 - 194*h/3 - 5213/6 = 0 for h.
-13, 401
Suppose 2*s**4/15 - 148*s**3/15 + 134*s**2/15 + 292*s/5 = 0. What is s?
-2, 0, 3, 73
Factor -2*z**3 - 11178*z**2 + 2*z + 11178.
-2*(z - 1)*(z + 1)*(z + 5589)
Let 270*k**4 + 1355*k**3 - 1595*k**2 - 30*k = 0. What is k?
-6, -1/54, 0, 1
Determine m so that -5*m**2 - 23125*m + 1595620 = 0.
-4693, 68
Find b, given that 6*b**5 + 190*b**4 + 2222*b**3 + 11250*b**2 + 19516*b - 7840 = 0.
-10, -8, -7, 1/3
Let k**3 - 131*k**2 = 0. What is k?
0, 131
Factor 4*j**2 + 13384*j - 120780.
4*(j - 9)*(j + 3355)
Factor -b**2/2 - 5277*b + 31671/2.
-(b - 3)*(b + 10557)/2
Find c, given that -5*c**4 - 185*c**3 - 1475*c**2 - 3375*c = 0.
-27, -5, 0
Factor -4*u**2 - 2304*u - 279792.
-4*(u + 174)*(u + 402)
Solve -21*w**5 + 366*w**4 - 1800*w**3 + 1536*w**2 + 1536*w = 0 for w.
-4/7, 0, 2, 8
Factor 2*l**2/7 - 227728*l/7 - 227730/7.
2*(l - 113865)*(l + 1)/7
Solve -30*t**3/7 + 56*t**2 - 328*t/7 - 96 = 0.
-14/15, 2, 12
Factor -75*u**2 + 556415*u + 74190.
-5*(u - 7419)*(15*u + 2)
Let 2*c**4 - 514*c**3 + 13494*c**2 + 28538*c + 14528 = 0. Calculate c.
-1, 32, 227
Solve 5*r**5 + 1575*r**4 + 121635*r**3 - 379195*r**2 + 6360*r + 505620 = 0 for r.
-159, -1, 2
Determine g, given that -g**4/4 - 119*g**3/2 - 5202*g**2 - 196520*g - 2672672 = 0.
-68, -34
Find b, given that 2*b**2/7 - 2110*b/7 - 32100/7 = 0.
-15, 1070
Suppose -o**5/2 + 57*o**4/2 - 473*o**3 + 1974*o**2 + 6076*o = 0. What is o?
-2, 0, 14, 31
Factor -y**2/3 + 54338*y.
-y*(y - 163014)/3
Solve u**2/6 - 24503*u/6 + 12251/3 = 0.
1, 24502
Find h such that 4*h**2 - 436*h - 67080 = 0.
-86, 195
Solve -141*s**4 - 231*s**3 - 39*s**2 + 51*s = 0.
-1, 0, 17/47
Factor 5*x**4 - 90*x**3 + 365*x**2 - 540*x + 260.
5*(x - 13)*(x - 2)**2*(x - 1)
Factor 2*d**5/3 + 192*d**4 - 582*d**3.
2*d**3*(d - 3)*(d + 291)/3
Suppose m**5/10 + 16491*m**4/10 + 32979*m**3/10 + 16489*m**2/10 = 0. Calculate m.
-16489, -1, 0
Factor 2*o**2 - 47308*o - 94624.
2*(o - 23656)*(o + 2)
Factor 5202*a**4/7 + 88638*a**3/7 + 3470*a**2/7 + 34*a/7.
2*a*(a + 17)*(51*a + 1)**2/7
Solve -14*m**3 - 156*m**2 + 3074*m + 3696 = 0.
-21, -8/7, 11
Suppose -i**4/9 - 20*i**3/3 - 425*i**2/9 + 1250*i/3 = 0. What is i?
-50, -15, 0, 5
Find u, given that -10*u**4/11 + 6178*u**3/11 + 7426*u**2/11 + 1238*u/11 = 0.
-1, -1/5, 0, 619
Factor -2*d**3 + 666*d**2 - 7758*d + 17334.
-2*(d - 321)*(d - 9)*(d - 3)
Let 3*z**4/4 - 231*z**3/2 + 15867*z**2/4 + 22323*z + 18240 = 0. Calculate z.
-4, -1, 64, 95
Factor 2*x**2 + 350*x + 14700.
2*(x + 70)*(x + 105)
Determine u, given that -u**3/4 + 2903*u**2/2 - 2108303*u + 4210802 = 0.
2, 2902
Factor 27*r**2/8 - 2265*r/2 - 504.
3*(r - 336)*(9*r + 4)/8
Determine b, given that 2*b**2/9 + 4900*b/9 - 9808/9 = 0.
-2452, 2
Factor -10*c**4/7 - 54*c**3/7 - 96*c**2/7 - 8*c.
-2*c*(c + 2)**2*(5*c + 7)/7
Factor 2*q**3/5 + 292*q**2/5 + 12408*q/5 + 121968/5.
2*(q + 14)*(q + 66)**2/5
Solve 2*c**3 + 832*c**2 + 9768*c + 29088 = 0 for c.
-404, -6
What is a in -576384064*a**4 + 576240016*a**3 + 144039*a**2 + 9*a = 0?
-3/24008, 0, 1
Suppose 360*n**2 + 11165*n + 155 = 0. What is n?
-31, -1/72
Suppose -2*q**4/7 - 236*q**3/7 - 1440*q**2 - 25900*q - 159250 = 0. Calculate q.
-35, -13
Factor 5*y**3 - 81055*y**2 + 162095*y - 81045.
5*(y - 16209)*(y - 1)**2
What is a in a**4/3 - 233*a**3 + 4949*a**2 + 31795*a/3 + 5416 = 0?
-1, 24, 677
Factor -c**2 + 1479*c - 65918.
-(c - 1433)*(c - 46)
Find k, given that -4*k**4 + 2236*k**3 - 4456*k**2 = 0.
0, 2, 557
Let -3*q**2 - 66108*q - 364188972 = 0. What is q?
-11018
Factor 2*d**3/3 + 1740*d**2 - 1742*d - 10444/3.
2*(d - 2)*(d + 1)*(d + 2611)/3
Factor -3*m**4 + 111*m**3 + 525*m**2 - 1371*m + 738.
-3*(m - 41)*(m - 1)**2*(m + 6)
Solve 2*t**4 + 19038*t**3 + 399114*t**2 + 1880362*t - 2298516 = 0 for t.
-9498, -11, 1
Factor -5*n**3/2 - 290711*n**2 - 8451346694*n - 3380492164.
-(n + 58142)**2*(5*n + 2)/2
Factor 2*i**2/9 + 176*i/3 - 68210/9.
2*(i - 95)*(i + 359)/9
What is g in -5*g**4 - 775*g**3 + 4785*g**2 - 7245*g = 0?
-161, 0, 3
Suppose -3*a**2/2 - 43845*a - 640794675/2 = 0. What is a?
-14615
Find a such that -3*a**3/5 - 54192*a**2/5 - 108372*a/5 = 0.
-18062, -2, 0
Find p, given that 10*p**4/3 - 1006*p**3/15 - 974*p**2/15 + 1006*p/15 + 308/5 = 0.
-1, -22/25, 1, 21
Find s such that -3237*s**3 + 25899*s**2 - 24*s = 0.
0, 1/1079, 8
Find p, given that -68*p**4 + 360*p**3 - 304*p**2 - 552*p + 180 = 0.
-1, 5/17, 3
Suppose 2*b**5/3 + 76*b**4 - 242*b**3/3 - 460*b**2 = 0. What is b?
-115, -2, 0, 3
Factor 81*y**4 + 61497*y**3 - 358127*y**2 - 81861*y - 4590.
(y - 6)*(y + 765)*(9*y + 1)**2
Factor 3*q**4 - 354*q**3 - 2607*q**2 - 2250*q.
3*q*(q - 125)*(q + 1)*(q + 6)
Find p such that 25*p**5/3 - 695*p**4/3 - 5165*p**3/3 - 3805*p**2/3 + 7940*p/3 + 1700/3 = 0.
-5, -2, -1/5, 1, 34
Solve 4*v**2 - 18088*v - 36192 = 0 for v.
-2, 4524
Factor -5*n**2 + 180*n + 380.
-5*(n - 38)*(n + 2)
Factor -5*h**3 - 2170*h**2 - 131325*h + 24709500.
-5*(h - 76)*(h + 255)**2
Factor 128*g**4/11 - 8608*g**3/11 - 61992*g**2/11 - 142398*g/11 - 107892/11.
2*(g - 74)*(4*g + 9)**3/11
Factor 3*d**4 - 21*d**3 - 36*d**2 + 204*d + 336.
3*(d - 7)*(d - 4)*(d + 2)**2
Suppose -3*g**3/4 - 7017*g**2/4 - 29577*g + 66177 = 0. Calculate g.
-2322, -19, 2
Factor l**2/3 - 616*l/3 - 24139.
(l - 717)*(l + 101)/3
Solve -42*l**5 + 128*l**4 + 614*l**3 - 788*l**2 - 1112*l - 240 = 0 for l.
-3, -2/3, -2/7, 2, 5
Factor 5*w**2/4 - 645*w/4 - 1925.
5*(w - 140)*(w + 11)/4
Factor -2*j**2 + 13586*j - 54312.
-2*(j - 6789)*(j - 4)
Suppose -2*k**3 + 1176*k**2 - 117882*k - 17298684 = 0. What is k?
-78, 333
Factor 21377*q**3/4 - 10*q**2.
q**2*(21377*q - 40)/4
Factor -2*t**2/21 + 24*t/7 - 10/3.
-2*(t - 35)*(t - 1)/21
Suppose 4*c**4/3 + 664*c**3/3 - 676*c**2/3 - 1336*c/3 = 0. What is c?
-167, -1, 0, 2
Determine y so that -5*y**5/3 + 160*y**4/3 - 1240*y**3/3 + 1730*y**2/3 + 415*y - 630 = 0.
-1, 1, 2, 9, 21
Factor -3*t**2/4 + 321*t/4 - 1800.
-3*(t - 75)*(t - 32)/4
Factor -3*p**2/4 + 604893*p/2 - 121965180483/4.
-3*(p - 201631)**2/4
Determine t, given that -3*t**5/5 + 300*t**4 - 204051*t**3/5 + 4005618*t**2/5 + 8629404*t/5 + 4418232/5 = 0.
-1, 26