lculate a.
2, 11, 30
Determine k so that -8*k**3/5 - 138*k**2 + 3566*k/5 + 9828/5 = 0.
-91, -2, 27/4
Let 64*p**4 - 6236512*p**3 + 151934684836*p**2 - 227891503248*p + 85457998224 = 0. What is p?
3/4, 48722
Factor -i**3/2 - 9088*i**2 + i/2 + 9088.
-(i - 1)*(i + 1)*(i + 18176)/2
Let t**3/5 + 1377*t**2 - 165672*t/5 + 994896/5 = 0. Calculate t.
-6909, 12
What is u in 2*u**5/5 - 954*u**4/5 - 30484*u**3/5 + 32388*u**2/5 + 30482*u/5 - 31434/5 = 0?
-31, -1, 1, 507
Suppose -20*d**4 - 5015*d**3 + 159750*d**2 - 1137375*d - 945000 = 0. Calculate d.
-280, -3/4, 15
Factor 2*l**2/3 - 23334*l + 70000/3.
2*(l - 35000)*(l - 1)/3
Determine c so that 4*c**2 - 52268*c - 156840 = 0.
-3, 13070
Factor -5*w**3 + 512050*w**2 - 2048140*w + 2048120.
-5*(w - 102406)*(w - 2)**2
Find l, given that 10*l**5 - 285*l**4 + 1070*l**3 + 435*l**2 - 4770*l + 2160 = 0.
-2, 1/2, 3, 24
Factor j**4 + 44*j**3 - 241*j**2 + 196*j.
j*(j - 4)*(j - 1)*(j + 49)
Let -5*r**4 - 20*r**3 + 285*r**2 - 200*r - 500 = 0. What is r?
-10, -1, 2, 5
Factor 3*p**2 - 1318*p + 439.
(p - 439)*(3*p - 1)
Find g such that g**3/6 - 131791*g**2/6 + 723779692*g - 5065381608 = 0.
7, 65892
Solve l**4/3 - 323*l**3/2 - 68191*l**2/6 - 33529*l/2 - 33367/6 = 0.
-61, -1, -1/2, 547
Let -18*q**5/17 - 878*q**4/17 + 250*q**3/17 + 2670*q**2/17 + 1168*q/17 - 392/17 = 0. Calculate q.
-49, -1, 2/9, 2
Let 4*x**3 - 356*x**2 - 1096*x - 736 = 0. Calculate x.
-2, -1, 92
Factor 2*f**5 + 832*f**4 + 117518*f**3 + 5924432*f**2 + 41024128*f + 35216384.
2*(f + 1)*(f + 7)*(f + 136)**3
Solve -5*b**4 + 65*b**3 + 40*b**2 - 1200*b = 0 for b.
-4, 0, 5, 12
Factor 3*d**4 - 2913*d**3 + 711468*d**2 - 2096688*d - 2811072.
3*(d - 484)**2*(d - 4)*(d + 1)
What is p in -p**2 - 137222*p - 4707469321 = 0?
-68611
Solve 65*t**3 + 13320*t**2 + 128325*t + 316750 = 0 for t.
-2534/13, -5
Find b, given that 5*b**3 + 80*b**2 - 755*b + 1150 = 0.
-23, 2, 5
Let 36*j**5/7 + 582096*j**4/7 + 193996*j**3/7 - 517424*j**2/7 - 258704*j/7 = 0. Calculate j.
-16169, -2/3, 0, 1
Let 148*j**2 - 37152*j - 36288 = 0. What is j?
-36/37, 252
Let -j**5/2 + 37*j**4 + 1105*j**3/2 + 1151*j**2 - 1740*j = 0. What is j?
-10, -4, 0, 1, 87
Find x, given that 4*x**2 - 11882648*x + 8824832718244 = 0.
1485331
Factor j**4 + 101096*j**3 + 2555201398*j**2 + 5110099512*j + 2554999209.
(j + 1)**2*(j + 50547)**2
Factor 4*w**2 + 1276*w - 450288.
4*(w - 212)*(w + 531)
Let -2*j**4/5 + 56796*j**3/5 - 170376*j**2/5 + 170372*j/5 - 11358 = 0. Calculate j.
1, 28395
Factor 2*u**3/9 + 2938*u**2/9 + 1100678*u/9 + 5285290/3.
2*(u + 15)*(u + 727)**2/9
Find d, given that -8*d**4 - 258*d**3 - 992*d**2 - 1128*d - 224 = 0.
-28, -2, -1/4
Factor -l**2/4 + 223849*l/2 - 50108374801/4.
-(l - 223849)**2/4
Factor 2*t**2/23 - 3160*t/23 - 136248/23.
2*(t - 1622)*(t + 42)/23
Factor f**2/6 + 77*f/6 - 205/3.
(f - 5)*(f + 82)/6
Determine k so that k**4/3 - 345*k**3/2 - 1565*k**2/2 - 785*k/3 + 348 = 0.
-4, -1, 1/2, 522
Factor 16*g**3 - 15684316*g**2 + 3843713170520*g + 960929272900.
4*(g - 490135)**2*(4*g + 1)
What is k in -10*k**5 - 4664*k**4 - 535344*k**3 + 1981508*k**2 - 778790*k - 662700 = 0?
-235, -2/5, 1, 3
Solve 22*m**3 + 442*m**2 - 462*m - 882 = 0.
-21, -1, 21/11
Find c, given that 5*c**4 - 260*c**3 + 10*c**2 + 80900*c + 80625 = 0.
-15, -1, 25, 43
Find y such that -5*y**3 - 270*y**2 - 2125*y - 4500 = 0.
-45, -5, -4
Suppose a**2/5 + 22024*a/5 - 26436 = 0. What is a?
-22030, 6
Solve -i**4 + 102*i**3 - 2737*i**2 + 7512*i - 4876 = 0 for i.
1, 2, 46, 53
What is x in -4*x**2 + 4280*x - 4276 = 0?
1, 1069
Determine i, given that -18*i**3/11 + 814578*i**2/11 + 543058*i/11 + 90510/11 = 0.
-1/3, 45255
Factor 2*w**3/7 + 176*w**2/7 - 1504*w/7 + 3072/7.
2*(w - 4)**2*(w + 96)/7
Find f, given that 2*f**5 + 78*f**4 - 82*f**3 - 78*f**2 + 80*f = 0.
-40, -1, 0, 1
What is r in 2*r**4/9 - 3812*r**3/9 - 5544*r**2 + 3812*r/9 + 49894/9 = 0?
-13, -1, 1, 1919
Suppose -21*u**2 + 18798207*u + 5370918 = 0. Calculate u.
-2/7, 895153
Solve -3*u**3 - 1437*u**2 - 9888*u + 11328 = 0.
-472, -8, 1
Solve -2*o**3 - 226*o**2 - 3608*o - 3384 = 0 for o.
-94, -18, -1
Let 2*c**4/3 - 39156*c**3 + 1724841376*c**2/3 + 39156*c - 574947126 = 0. Calculate c.
-1, 1, 29367
Factor -4*a**2/3 - 20*a/3 + 312.
-4*(a - 13)*(a + 18)/3
Factor 3*w**2 - 480*w + 12852.
3*(w - 126)*(w - 34)
Solve 50*n**5 - 299*n**4 - 6*n**3 + 1100*n**2 + 772*n + 15 = 0.
-1, -1/50, 3, 5
Factor 2*j**3/7 - 7352*j**2/7 + 7346*j/7 + 2100.
2*(j - 3675)*(j - 2)*(j + 1)/7
Factor 3*t**3 - 363*t**2 - 7092*t + 7452.
3*(t - 138)*(t - 1)*(t + 18)
Factor -2*u**2 - 9316*u + 18640.
-2*(u - 2)*(u + 4660)
Suppose -48*o**4 - 1580*o**3 - 12060*o**2 + 14840*o - 1152 = 0. What is o?
-18, -16, 1/12, 1
Factor -3*n**2 - 173820*n - 869025.
-3*(n + 5)*(n + 57935)
Find u such that 2*u**3/3 + 12974*u**2/3 - 2*u/3 - 12974/3 = 0.
-6487, -1, 1
Factor t**2/2 + 601*t/2 - 308911.
(t - 541)*(t + 1142)/2
Let -5*n**2 + 1147430*n - 65829780245 = 0. What is n?
114743
Factor b**2 - 273*b - 47674.
(b - 394)*(b + 121)
Suppose -2*d**4 + 120*d**3 + 782*d**2 + 660*d = 0. What is d?
-5, -1, 0, 66
Let 10*w**4/9 + 32*w**3/9 - 10*w**2/9 - 104*w/9 - 8 = 0. What is w?
-2, -1, 9/5
Factor 3*x**2 - 3531*x + 31536.
3*(x - 1168)*(x - 9)
Find p, given that -2*p**5/3 + 196*p**4/3 - 502*p**3 - 8440*p**2/3 - 9256*p/3 = 0.
-2, 0, 13, 89
Let 8*i**4/5 + 12*i**3/5 - 1292*i**2/5 + 5112*i/5 + 576 = 0. Calculate i.
-15, -1/2, 6, 8
Factor -2*f**3/7 + 8072*f**2/7 - 8136570*f/7 - 16305444/7.
-2*(f - 2019)**2*(f + 2)/7
Determine n so that 4*n**2 - 44660*n + 980584 = 0.
22, 11143
Determine o, given that -35*o**4 + 10335*o**3 - 358515*o**2 - 264335*o + 104550 = 0.
-1, 2/7, 41, 255
Let 2*v**3 - 8064*v**2 + 32182*v + 169176 = 0. Calculate v.
-3, 7, 4028
Solve -2*z**5 + 56*z**4 - 278*z**3 + 296*z**2 + 280*z - 352 = 0 for z.
-1, 1, 2, 4, 22
Find a such that a**5/2 + 315*a**4/2 + 29223*a**3/2 + 697729*a**2/2 + 2602860*a + 2268450 = 0.
-142, -15, -1
Factor -2*y**3/5 + 122*y**2 + 3088*y/5 + 744.
-2*(y - 310)*(y + 2)*(y + 3)/5
Find k, given that -k**5/2 - 3*k**4 + 136*k**3 + 768*k**2 - 2048*k = 0.
-16, -8, 0, 2, 16
Solve 5*x**2 - 123870*x + 767188845 = 0 for x.
12387
Find p, given that -5*p**2 + 6305*p - 521540 = 0.
89, 1172
Factor -f**5 + 24*f**4 - 85*f**3 + 102*f**2 - 40*f.
-f*(f - 20)*(f - 2)*(f - 1)**2
Solve 2*m**5/5 + 4*m**4 - 974*m**3/5 + 6352*m**2/5 - 2520*m + 1440 = 0.
-30, 1, 2, 5, 12
Let 2*s**2/5 + 2852*s/5 + 19474 = 0. Calculate s.
-1391, -35
Find c, given that c**2/4 + 253*c/4 - 17199/2 = 0.
-351, 98
Find i, given that -10*i**5/3 - 1268*i**4/3 - 8042*i**3 + 117956*i**2/3 - 140936*i/3 + 7888 = 0.
-102, -29, 1/5, 2
Factor v**3 + 271780*v**2 + 543557*v + 271778.
(v + 1)**2*(v + 271778)
What is f in f**5/4 - 70*f**4 + 5019*f**3/2 - 26470*f**2 + 182761*f/4 - 21660 = 0?
1, 19, 240
Factor 4*x**2 - 9836*x - 59160.
4*(x - 2465)*(x + 6)
Solve -267*p**4/2 + 531*p**3 - 522*p**2 - 12*p = 0 for p.
-2/89, 0, 2
Factor 5*z**3 - 785*z**2 - 6525*z - 12375.
5*(z - 165)*(z + 3)*(z + 5)
What is c in -2*c**4/17 - 560*c**3/17 - 20294*c**2/17 + 20856*c/17 = 0?
-237, -44, 0, 1
Solve 5*u**4 + 4930*u**3 + 1225065*u**2 + 4841260*u + 4821620 = 0.
-491, -2
Determine j, given that j**2/5 - 14728*j/5 + 54228496/5 = 0.
7364
Let i**4/6 - 1045*i**3/6 + 45934*i**2 - 678080*i/3 + 540800/3 = 0. What is i?
1, 4, 520
Solve -2*g**2 + 228*g - 3456 = 0 for g.
18, 96
Factor i**2 + 1053*i + 7322.
(i + 7)*(i + 1046)
Factor -g**3/4 + 5895*g**2/4 + 59061*g/4 - 64955/4.
-(g - 5905)*(g - 1)*(g + 11)/4
Factor 3*g**3 + 53715*g**2 + 53706*g - 107424.
3*(g - 1)*(g + 2)*(g + 17904)
Find t, given that 2*t**3/13 - 184*t**2/13 - 192*t = 0.
-12, 0, 104
Factor 4*k**3/7 - 3719*k**2/7 + 398*k + 929/7.
(k - 929)*(k - 1)*(4*k + 1)/7
Suppose -2*j**3 + 337330*j**2 - 674654*j + 337326 = 0. Calculate j.
1, 168663
Factor -3*t**2/2 - 156*t.
-3*t*(t + 104)/2
Factor -a**3/4 - a**2/2 + 3535*a/4 + 20825.
-(a - 68)*(a + 35)**2/4
Factor -z**2 - 135*z - 1476.
-(z + 12)*(z + 123)
Factor 72*a**5 + 556*a**4 + 484*a**3.
4*a**3*(a + 1)*(18*a + 121)
Solve -f**2/5 + 84776*f/5 - 1796742544/5 = 0.
42388
Factor -3*c**3/2 + 27783*c**2/2 - 65945817*c/2 + 7459172637/2.
-3*(c - 4571)**2*(c - 119)/2
Find x such that 5*x**2 + 61260*x = 0.
-12252, 0
Factor t**2/4 - 4217*t/4 - 2109/2.
(t - 4218)*(t + 1)/4
Determine u so that 10*u**3 + 95806*u**2 - 134144*u + 38328