te g.
18245
Determine j so that 2*j**2 + 704*j + 2784 = 0.
-348, -4
Suppose -4*s**3 - 156*s**2 + 1108*s + 1260 = 0. What is s?
-45, -1, 7
Suppose -4*f**5 + 7012*f**4 - 4027536*f**3 + 715936320*f**2 + 24083174016*f + 45270270144 = 0. What is f?
-27, -2, 594
Determine m, given that -2*m**3/21 + 302*m**2/21 - 4128*m/7 + 3456 = 0.
7, 72
Factor -456976*z**2 + 73008*z - 2916.
-4*(338*z - 27)**2
Factor 2*l**5 + 34*l**4 + 62*l**3 + 30*l**2.
2*l**2*(l + 1)**2*(l + 15)
Determine j so that j**3/4 - 435*j**2/4 + 2319*j/2 + 2756 = 0.
-2, 13, 424
Determine h so that -4*h**4/7 + 160*h**3/7 + 1628*h**2/7 - 4296*h/7 - 5760/7 = 0.
-10, -1, 3, 48
Factor 2*o**2 - 834*o/5 + 332/5.
2*(o - 83)*(5*o - 2)/5
Solve -3*i**4/2 - 37*i**3 - 283*i**2/2 + 1058*i - 1230 = 0.
-15, -41/3, 2
Factor -2*a**2/7 - 2414756*a/7 - 728880817442/7.
-2*(a + 603689)**2/7
Suppose -2*b**2 - 109638*b + 109640 = 0. What is b?
-54820, 1
Factor f**4/5 + 323*f**3/5 - 1974*f**2/5.
f**2*(f - 6)*(f + 329)/5
What is m in 35*m**5 - 255*m**4 - 2010*m**3 - 280*m**2 + 7200*m + 5760 = 0?
-4, -12/7, -1, 2, 12
Find z, given that -6*z**2/13 + 250*z/13 + 84/13 = 0.
-1/3, 42
Let -3*h**2/2 + 24042*h + 48087/2 = 0. Calculate h.
-1, 16029
What is i in -2*i**5 - 1222*i**4 - 1220*i**3 = 0?
-610, -1, 0
Let -n**2/4 + 2799*n/4 - 4886 = 0. Calculate n.
7, 2792
Let 2*z**5/5 + 942*z**4/5 - 45504*z**3/5 - 18952*z**2 = 0. What is z?
-515, -2, 0, 46
Solve 3*q**3 + 9837*q**2 + 29430*q - 176904 = 0.
-3276, -6, 3
Find s, given that -s**2 - 150012*s + 150013 = 0.
-150013, 1
Factor 4*t**2/9 - 844*t/9 + 6496/9.
4*(t - 203)*(t - 8)/9
Find u such that -18*u**5/5 - 3584*u**4/5 + 3222*u**3/5 + 876*u**2 - 800*u = 0.
-200, -10/9, 0, 1
Factor n**2/4 - 2284*n - 13713.
(n - 9142)*(n + 6)/4
What is w in 15*w**4 + 498*w**3 + 39*w**2 - 1992*w - 396 = 0?
-33, -2, -1/5, 2
What is w in -2*w**5/13 - 174*w**4/13 - 3676*w**3/13 - 8004*w**2/13 + 33246*w/13 + 86130/13 = 0?
-55, -29, -3, 3
Let 2*i**3 - 158*i**2 - 9472*i + 755688 = 0. Calculate i.
-69, 74
Let -d**3/8 - 187*d**2/4 + 17057*d/8 + 8715/4 = 0. What is d?
-415, -1, 42
Factor s**4 - 142*s**3 - 20101*s**2 + 40762*s.
s*(s - 229)*(s - 2)*(s + 89)
Solve -2*d**3/7 - 102870*d**2/7 - 188961168*d + 188975864 = 0 for d.
-25718, 1
Factor 3*u**4/4 + 1293*u**3/2 + 190260*u**2 + 20344800*u + 362208000.
3*(u + 22)*(u + 280)**3/4
What is s in -2*s**2 + 3722*s - 456456 = 0?
132, 1729
Determine t, given that -4*t**3 + 648*t**2 - 24800*t = 0.
0, 62, 100
Factor -2*j**2/7 + 6800*j/7 + 507058/7.
-2*(j - 3473)*(j + 73)/7
Determine v, given that -5*v**5 - 30*v**4 + 1190*v**3 + 3680*v**2 - 10785*v + 5950 = 0.
-17, -5, 1, 14
Factor -4*f**2 - 48572*f + 97160.
-4*(f - 2)*(f + 12145)
Solve -2030*v**3/3 + 2026*v**2/3 + 12184*v/3 + 8 = 0 for v.
-2, -2/1015, 3
Factor -5*s**2 + 5109460*s - 1305329074580.
-5*(s - 510946)**2
Let -167042*n**2 - 43928*n - 2888 = 0. Calculate n.
-38/289
Determine f so that 2*f**3/11 - 57972*f**2/11 + 420325890*f/11 - 3358897936/11 = 0.
8, 14489
Suppose 3*h**2 + 1881*h - 5670 = 0. Calculate h.
-630, 3
Suppose -n**3/2 + 900*n**2 + 1802*n = 0. What is n?
-2, 0, 1802
Solve -x**2/3 - 82*x + 4471/3 = 0 for x.
-263, 17
Determine u so that -u**3/6 - 26*u**2/3 + 250*u/3 + 200 = 0.
-60, -2, 10
Factor -n**3/3 - 112*n**2/3 - 941*n/3 - 1442/3.
-(n + 2)*(n + 7)*(n + 103)/3
Solve -4*i**3 + 15000*i**2 - 506532*i + 4295696 = 0 for i.
17, 3716
Factor -5*g**4 - 610*g**3 - 11385*g**2.
-5*g**2*(g + 23)*(g + 99)
Suppose -24*s**2 - 483*s + 6291 = 0. What is s?
-233/8, 9
Solve 28*v**5 - 496*v**4 - 3924*v**3 - 7128*v**2 - 1728*v = 0 for v.
-3, -2/7, 0, 24
Factor y**3/9 + 23*y**2/9 + 136*y/9 + 80/3.
(y + 4)**2*(y + 15)/9
Find d such that d**2/7 + 82*d - 18120/7 = 0.
-604, 30
Factor g**4 - 794*g**3 + 156812*g**2 + 316808*g.
g*(g - 398)**2*(g + 2)
What is n in 121*n**5/4 + 8459*n**4/4 + 5894*n**3 - 230*n**2 - 6396*n + 2412 = 0?
-67, -2, 6/11
Factor -2*m**2/5 + 58*m/5 + 3192.
-2*(m - 105)*(m + 76)/5
Let -y**4/12 + 59*y**3/6 - 896*y**2/3 + 3128*y/3 = 0. Calculate y.
0, 4, 46, 68
Solve 2*v**2/15 - 1973728*v/15 + 486950277248/15 = 0.
493432
Factor -3*o**2 + 274926*o - 6298692123.
-3*(o - 45821)**2
Let -4*a**3 - 642712*a**2 + 2570896*a - 2570912 = 0. Calculate a.
-160682, 2
Determine d, given that 3*d**3 - 7635*d**2 - 68988*d + 76620 = 0.
-10, 1, 2554
Factor o**3/2 - 857*o**2 + 1693*o/2 + 17130.
(o - 1713)*(o - 5)*(o + 4)/2
Determine x so that 89*x**3/3 + 14773*x**2 + 1838865*x - 62001 = 0.
-249, 3/89
Factor -5*o**2 + 58680*o + 234800.
-5*(o - 11740)*(o + 4)
What is j in -2*j**4/5 + 28*j**3/5 + 4014*j**2/5 + 70632*j/5 + 344088/5 = 0?
-18, -9, 59
Factor -2*a**3 - 3948*a**2 - 1944384*a + 3904576.
-2*(a - 2)*(a + 988)**2
Solve 3*k**2 + 354*k - 56160 = 0 for k.
-208, 90
Find b such that -3*b**5/5 - 228*b**4/5 - 4074*b**3/5 - 22452*b**2/5 - 18603*b/5 = 0.
-53, -13, -9, -1, 0
Find r, given that -4*r**3 - 172*r**2 - 1824*r - 4032 = 0.
-28, -12, -3
Factor -4*o**2 - 134880*o - 1137038400.
-4*(o + 16860)**2
Let -98*s**4/11 + 308*s**3 - 8226*s**2/11 + 5184*s/11 = 0. Calculate s.
0, 9/7, 32
Solve u**5 - 40*u**4 - 885*u**3 + 6800*u**2 + 9244*u - 15120 = 0 for u.
-20, -2, 1, 7, 54
Let f**4 + 282*f**3 - 4428*f**2 + 8262*f + 72171 = 0. Calculate f.
-297, -3, 9
Suppose 2*p**3/5 + 7660*p**2 - 114914*p/5 + 76612/5 = 0. What is p?
-19153, 1, 2
Factor 3*c**2/5 - 187836*c/5 - 375684/5.
3*(c - 62614)*(c + 2)/5
Factor -o**2/4 - 8552*o - 73136704.
-(o + 17104)**2/4
Factor -4*n**2 - 48*n - 128.
-4*(n + 4)*(n + 8)
Factor m**3/4 + 53583*m**2/4 + 717811263*m/4 + 717757681/4.
(m + 1)*(m + 26791)**2/4
Factor -5*s**2 - 784590*s - 30779073405.
-5*(s + 78459)**2
Factor z**2 - 66652*z - 66653.
(z - 66653)*(z + 1)
Suppose 2*v**2/13 + 5464452*v/13 + 3732529457538/13 = 0. Calculate v.
-1366113
Solve 3*c**5 + 78*c**4 + 405*c**3 - 486*c**2 = 0 for c.
-18, -9, 0, 1
Factor 61*s**3 - 4268*s**2 + 74585*s + 2450.
(s - 35)**2*(61*s + 2)
Factor -2*u**2/11 + 118*u + 17212/11.
-2*(u - 662)*(u + 13)/11
Suppose 4*x**4 - 14944*x**3 - 194728*x**2 - 824480*x - 1124700 = 0. Calculate x.
-5, -3, 3749
Factor 2*v**4/17 - 1922*v**3/17 + 155216*v**2/17.
2*v**2*(v - 872)*(v - 89)/17
Factor -4*i**3/3 + 1088*i**2/3 - 21504*i - 442368.
-4*(i - 144)**2*(i + 16)/3
Factor -b**2/3 + 1201*b/3 - 2398/3.
-(b - 1199)*(b - 2)/3
Determine y, given that 12852450*y**5/7 - 184279290*y**4/7 + 229360112*y**3/7 - 75341232*y**2/7 + 50400*y - 416/7 = 0.
2/845, 2/3, 13
Find c, given that -5*c**5 - 4450*c**4 - 963110*c**3 + 12001360*c**2 - 45539725*c + 50850250 = 0.
-451, 2, 5
Factor -l**4 - 37869*l**3 - 113601*l**2 - 113599*l - 37866.
-(l + 1)**3*(l + 37866)
Let -3*k**2/7 - 248034*k/7 - 5126738763/7 = 0. What is k?
-41339
Solve 3*n**2 - 4367934*n + 1589903952363 = 0.
727989
Factor -4*c**2 - 46192*c - 133356304.
-4*(c + 5774)**2
Factor 5*k**2 - 198390*k + 198385.
5*(k - 39677)*(k - 1)
Factor -t**4/3 - 5305*t**3 - 28153627*t**2 - 149636145689*t/3 - 298259906254.
-(t + 6)*(t + 5303)**3/3
Let 3*v**4/8 - 375*v**3/2 - 1509*v**2/8 + 1503*v/4 = 0. What is v?
-2, 0, 1, 501
Factor 3*f**3/7 - 9477*f**2/7 - 12*f/7 + 37908/7.
3*(f - 3159)*(f - 2)*(f + 2)/7
Determine d so that -d**2 + 256*d + 183425 = 0.
-319, 575
Let -10*l**5/3 + 35*l**4/3 + 25*l**3/3 - 140*l**2/3 + 20*l = 0. What is l?
-2, 0, 1/2, 2, 3
What is d in 5*d**2 + 1625*d + 105750 = 0?
-235, -90
Let -26*d**5 - 5244*d**4 + 14780*d**3/9 + 47600*d**2/9 - 14546*d/9 - 404/9 = 0. What is d?
-202, -1, -1/39, 1/3, 1
Factor 16*f**2 - 301724*f - 75432.
4*(f - 18858)*(4*f + 1)
Factor 2*n**4 + 7824*n**3 + 7596908*n**2 - 107509584*n + 377630162.
2*(n - 7)**2*(n + 1963)**2
Factor 2*w**2/9 + 340*w/9 + 11858/9.
2*(w + 49)*(w + 121)/9
Factor -v**4/2 - 1257*v**3 - 1053366*v**2 - 294240236*v.
-v*(v + 838)**3/2
Suppose b**2 + 25985*b - 51974 = 0. Calculate b.
-25987, 2
Find h, given that 2*h**3 - 942*h**2 + 110448*h + 111392 = 0.
-1, 236
Factor -4*d**2 + 771232*d - 37174924864.
-4*(d - 96404)**2
Find b, given that -245*b**5 + 32480*b**4 - 792455*b**3 - 2174640*b**2 + 1433700*b - 213840 = 0.
-3, 2/7, 36, 99
Factor -b**5 - 26*b**4 - 111*b**3 - 122*b**2 + 92*b + 168.
-(b - 1)*(b + 2)**3*(b + 21)
Suppose 5*h**5 - 1605*h**4 + 12520*h**3 + 640*h**2 - 201600*h + 400640 = 0. Calculate h.
-4, 4, 313
Factor -p**3/4 - 121*p**2 + 485*p/4.
-p*(p - 1)*(p + 485)/4
Suppose -2*r**2 - 50*r + 40