3
Let s**3/4 - 29*s**2/4 - 4097*s/4 + 64605/4 = 0. What is s?
-59, 15, 73
Solve 5*z**4 - 25945*z**3 + 310845*z**2 - 1165095*z + 1397790 = 0.
3, 6, 5177
Determine t, given that -4*t**2 + 1596*t + 74088 = 0.
-42, 441
Factor 4*m**3 + 6072*m**2 - 676*m - 1026168.
4*(m - 13)*(m + 13)*(m + 1518)
Solve 4*m**5 + 506*m**4 - 16500*m**3 - 43376*m**2 - 35248*m - 8874 = 0.
-153, -1, -1/2, 29
Determine v so that 6*v**3 - 242*v**2 + 536*v - 152 = 0.
1/3, 2, 38
Solve -3*y**5/4 + 21*y**4/4 + 261*y**3/4 + 447*y**2/4 + 105*y/2 = 0 for y.
-5, -1, 0, 14
Determine p so that -3*p**3 - 3276*p**2 - 13056*p = 0.
-1088, -4, 0
Solve 23*b**5 + 40574*b**4 + 84603*b**3 + 47576*b**2 + 3524*b = 0 for b.
-1762, -1, -2/23, 0
Determine g so that -2*g**3/9 + 832*g**2/9 - 86528*g/9 = 0.
0, 208
Factor y**4/6 + 7*y**3 - 1786*y**2/3 + 1169*y - 3485/6.
(y - 41)*(y - 1)**2*(y + 85)/6
Solve a**5 + 4002*a**4 + 3995989*a**3 - 16032012*a**2 + 16048036*a = 0.
-2003, 0, 2
Factor -36*g**5 - 2764*g**4/7 + 88*g**3/7.
-4*g**3*(g + 11)*(63*g - 2)/7
Factor -5*q**3 + 11585*q**2 - 23155*q + 11575.
-5*(q - 2315)*(q - 1)**2
Let 4*u**3 + 196*u**2 + 736*u + 720 = 0. What is u?
-45, -2
Solve -2*g**2/7 - 19512*g/7 + 19514/7 = 0.
-9757, 1
Let -x**2 + 44434*x - 493595089 = 0. Calculate x.
22217
What is k in 2*k**4/9 - 680*k**3/3 + 311542*k**2/9 = 0?
0, 187, 833
Solve 3*i**4 - 145926*i**3 + 1774679043*i**2 - 3548920320*i + 1774387200 = 0.
1, 24320
Factor 4*a**2 + 2244*a - 70920.
4*(a - 30)*(a + 591)
Find o, given that 3*o**2 + 40530*o - 243288 = 0.
-13516, 6
Factor -2*j**2/5 - 1064*j/5 - 6312/5.
-2*(j + 6)*(j + 526)/5
What is g in 10*g**3/9 + 2548*g**2/9 - 10918*g/9 - 10360/9 = 0?
-259, -4/5, 5
Let -5*h**2 + 7864370*h - 3092415774845 = 0. Calculate h.
786437
Factor 25*q**2 + 2555*q/3 + 170/3.
5*(q + 34)*(15*q + 1)/3
Let 3*t**3/4 - 537*t**2/4 - 27345*t/2 + 149400 = 0. What is t?
-80, 10, 249
Factor 3*s**2/8 + 36093*s/8.
3*s*(s + 12031)/8
Find q such that 3*q**2 - 71856*q - 71859 = 0.
-1, 23953
Let -2*f**2/5 + 23444*f + 234448/5 = 0. What is f?
-2, 58612
Factor -n**4/2 + 592*n**3 - 175823*n**2 + 349872*n - 349281/2.
-(n - 591)**2*(n - 1)**2/2
Solve -l**4 + 362*l**3 - 6817*l**2 - 7908*l + 14364 = 0.
-2, 1, 21, 342
Suppose 50*k**4 - 5295*k**3 + 12510*k**2 - 9335*k + 2070 = 0. What is k?
2/5, 1, 207/2
Find q, given that q**5/4 + 245*q**4/2 - 493*q**3/4 - 491*q**2/2 = 0.
-491, -1, 0, 2
Solve -8*f**5/5 - 1686*f**4/5 - 7894*f**3/5 - 13646*f**2/5 - 10314*f/5 - 2884/5 = 0.
-206, -7/4, -1
Let 5*f**4/3 + 5041*f**3/3 + 336*f**2 = 0. Calculate f.
-1008, -1/5, 0
Solve z**5 - 182*z**4 + 12166*z**3 - 366760*z**2 + 4948625*z - 23256250 = 0.
10, 25, 61
Factor 4*d**4 - 824*d**3 + 28276*d**2 + 1458480*d + 12531600.
4*(d - 118)**2*(d + 15)**2
What is k in -k**3 - 3906*k**2 + 46981*k - 137130 = 0?
-3918, 5, 7
Find b, given that 2*b**5/13 + 2*b**4 - 16*b**3/13 - 16*b**2 + 32*b/13 + 32 = 0.
-13, -2, 2
Factor 10609*n**3/5 + 270169*n**2/5 + 369432*n + 317520.
(n + 1)*(103*n + 1260)**2/5
Let -4*g**5/17 - 3970*g**4/17 - 5946*g**3/17 + 2*g**2/17 + 1982*g/17 = 0. What is g?
-991, -1, 0, 1/2
Let n**4/4 - 33*n**3/4 - 39*n**2/2 + 70*n = 0. What is n?
-4, 0, 2, 35
Determine d, given that -50*d**4/11 + 113320*d**3/11 + 2587028*d**2/11 - 1048408*d/11 + 105294/11 = 0.
-23, 1/5, 2289
Factor -109*n**3/5 + 976*n**2/5 + 9*n.
-n*(n - 9)*(109*n + 5)/5
Determine a so that -2*a**2/11 - 44432*a/11 - 177696/11 = 0.
-22212, -4
Determine n so that 11*n**5 - 22970*n**4 + 12016374*n**3 - 26047876*n**2 - 31560137*n + 6527094 = 0.
-1, 2/11, 3, 1043
Let -4*h**4/3 + 1756*h**3/3 - 81596*h**2 + 10607540*h/3 - 20249912/3 = 0. Calculate h.
2, 79, 179
Factor -2*k**5/7 + 220*k**4/7 - 1200*k**3 + 108000*k**2/7 + 540000*k/7 - 16200000/7.
-2*(k - 30)**4*(k + 10)/7
Solve 4*p**5 - 65*p**4 + 204*p**3 + 353*p**2 - 628*p + 132 = 0.
-2, 1/4, 1, 6, 11
What is j in 3*j**2/4 - 114711*j/4 - 114717/2 = 0?
-2, 38239
Suppose -2*h**4/11 + 46226*h**3/11 - 46214*h**2/11 - 231114*h/11 - 138672/11 = 0. Calculate h.
-1, 3, 23112
Let -2*w**3/17 + 36462*w**2/17 - 728640*w/17 + 3642200/17 = 0. What is w?
10, 18211
Factor 3*i**4/5 - 101007*i**3/5 + 170030133*i**2 + 170050335*i.
3*i*(i - 16835)**2*(i + 1)/5
Solve 2*u**4/3 + 1298*u**3 + 19436*u**2/3 + 10360*u + 15536/3 = 0 for u.
-1942, -2, -1
Solve -3*p**4 + 12465*p**3 - 13053321*p**2 + 218318811*p = 0.
0, 17, 2069
What is w in 6*w**2/5 - 1363218*w/5 - 1363224/5 = 0?
-1, 227204
Determine k so that 5*k**2/2 - 70881*k/2 - 28354 = 0.
-4/5, 14177
Factor g**4/5 + 72663*g**3/5 - 72664*g**2/5.
g**2*(g - 1)*(g + 72664)/5
Factor 2*u**3/13 + 6*u**2/13 - 25344*u/13 - 1123848/13.
2*(u - 129)*(u + 66)**2/13
Find l such that 2*l**5/17 + 2930*l**4/17 + 2928*l**3/17 = 0.
-1464, -1, 0
Factor -2*s**2/5 - 1144*s - 817960.
-2*(s + 1430)**2/5
Let -p**5 - 3021*p**4 - 15089*p**3 - 27151*p**2 - 21114*p - 6032 = 0. What is p?
-3016, -2, -1
Solve x**4 - 13*x**3 - 124*x**2 - 308*x - 240 = 0.
-3, -2, 20
Suppose k**5 + 873*k**4 + 135928*k**3 + 5958288*k**2 + 5823232*k = 0. Calculate k.
-688, -92, -1, 0
Find q such that 2*q**4/7 + 20*q**3 - 10656*q**2/7 + 158976*q/7 - 276480/7 = 0.
-120, 2, 24
Solve 4*n**3 + 2240*n**2 + 35068*n + 137088 = 0 for n.
-544, -9, -7
Find d such that 3*d**2/5 - 3249*d = 0.
0, 5415
Solve 2*k**2 + 8626*k - 260580 = 0.
-4343, 30
Suppose 2*z**3/5 - 666*z**2/5 + 9870*z - 1055902/5 = 0. Calculate z.
47, 239
Let -2*m**3/11 - 14*m**2/11 + 196*m/11 = 0. Calculate m.
-14, 0, 7
Factor 5*i**2 - 13015*i - 13020.
5*(i - 2604)*(i + 1)
Let 5*p**2 - 363490*p + 6606249005 = 0. What is p?
36349
What is v in -2*v**2/7 + 21668*v/7 = 0?
0, 10834
Let 2*x**5/9 - 22*x**4 - 1688*x**3/9 - 856*x**2/3 = 0. Calculate x.
-6, -2, 0, 107
Solve -4*x**4/3 - 30680*x**3/3 + 30688*x**2/3 + 30680*x/3 - 10228 = 0.
-7671, -1, 1
What is k in 27*k**5/2 + 549*k**4/2 - 951*k**3 - 5708*k**2 - 7760*k - 3264 = 0?
-68/3, -4/3, -1, 6
Determine b so that -4*b**3 + 335856*b**2 - 671700*b + 335848 = 0.
1, 83962
Find x such that 2*x**2/7 - 181068*x/7 + 77598 = 0.
3, 90531
Factor -2*h**3/9 - 16600*h**2/9 - 34593914*h/9 - 68591524.
-2*(h + 18)*(h + 4141)**2/9
Factor -363*w**3 - 1464*w**2 - 1500*w - 48.
-3*(w + 2)**2*(121*w + 4)
Find t such that 4*t**3 - 3904*t**2 - 51284*t - 142416 = 0.
-9, -4, 989
Find b, given that -3*b**3 + 1854*b**2 + 56205*b + 54348 = 0.
-28, -1, 647
Solve 2*p**4/17 - 2558*p**3/17 + 47582*p**2 + 5788286*p/17 = 0.
-7, 0, 643
Determine y, given that -2*y**4/3 - 37958*y**3/3 = 0.
-18979, 0
Determine z, given that 3*z**2 - 18123*z = 0.
0, 6041
Find l, given that l**2 + 33172*l + 33171 = 0.
-33171, -1
Let 20*l**2 - 2756*l - 552 = 0. Calculate l.
-1/5, 138
Factor -a**2/2 + 284*a + 6490.
-(a - 590)*(a + 22)/2
Find d such that -3*d**3/2 - 1293*d**2 - 23031*d/2 = 0.
-853, -9, 0
Solve -6*z**5/11 + 5058*z**4/11 + 30510*z**3/11 + 45846*z**2/11 = 0.
-3, 0, 849
Factor 5*n**4 - 9305*n**3 + 9300*n**2.
5*n**2*(n - 1860)*(n - 1)
Suppose 2*a**2/3 - 1204*a/3 + 102794/3 = 0. Calculate a.
103, 499
Find s, given that -s**3/3 - 46*s**2 - 1052*s/3 - 520 = 0.
-130, -6, -2
Let 220*x**5/3 + 22928*x**4/3 + 526816*x**3/3 - 1024768*x**2/3 - 286016*x/3 + 82688/3 = 0. What is x?
-68, -38, -2/5, 2/11, 2
What is f in -f**4/4 + 145*f**3/4 - 351*f**2/2 + 68*f + 280 = 0?
-1, 2, 4, 140
What is u in 5*u**4 - 665*u**3 + 30465*u**2 - 522955*u + 1933150 = 0?
5, 41, 46
Factor 2*a**4/7 + 88*a**3/7 - 832*a**2/7.
2*a**2*(a - 8)*(a + 52)/7
Factor g**3/3 - 430*g**2 - 20881*g/3 - 6530.
(g - 1306)*(g + 1)*(g + 15)/3
Factor 2*o**3 - 226*o**2 - 1410*o - 2142.
2*(o - 119)*(o + 3)**2
Find t such that t**4 + 32*t**3 + 177*t**2 - 890*t - 4600 = 0.
-23, -10, -4, 5
Factor -l**3 - 846*l**2 + 5103*l - 7668.
-(l - 3)**2*(l + 852)
Solve j**2/5 - 97*j + 966/5 = 0 for j.
2, 483
What is a in -5*a**3 + 126190*a**2 - 252360*a = 0?
0, 2, 25236
Determine f so that -3*f**2/2 - 313605*f - 627204 = 0.
-209068, -2
Suppose -2*o**3/5 + 1108*o**2/5 + 1566*o + 13464/5 = 0. What is o?
-4, -3, 561
Suppose 3*j**3/4 - 31401*j**2/4 + 82121445*j/4 + 246647025/4 = 0. Calculate j.
-3, 5235
Find s, given that 2*s**5/7 + 5168*s**4/7 + 4442736*s**3/7 + 1263159292*s**2/7 - 6400544786*s/7 + 7712827764/7 = 0.
-863, 2, 3
Factor 3*s**3/5 + 159*s**2/5 - 1416*s/5 + 2928/5.
3*(s - 4)**2*(s + 61)/5
What is l in -2885*l**2 - 46170*l - 160 = 0?
-16, -2/577
Suppose 4*z**5/7 -