+ 6*a**4 + 1436*a**3/13 + 2544*a**2/13 = 0.
-12, -2, 0, 53
Determine j, given that j**4 + 7*j**3 - 32*j**2 - 228*j - 288 = 0.
-8, -3, -2, 6
Suppose o**3/4 - 5285*o**2/4 = 0. What is o?
0, 5285
Determine o, given that 2*o**3/7 - 148*o**2/7 + 2810*o/7 - 2664/7 = 0.
1, 36, 37
Suppose -t**4/5 - 3383*t**3/5 + 13544*t**2/5 - 13548*t/5 = 0. What is t?
-3387, 0, 2
Solve -3*q**4/2 - 132*q**3 + 43272*q**2 + 2031744*q - 355370496 = 0 for q.
-148, 104
Find v, given that 5*v**4 - 2030*v**3 - 12545*v**2 + 75770*v + 185400 = 0.
-9, -2, 5, 412
Solve 5*p**4 + 20410*p**3 + 20395*p**2 - 40810*p = 0.
-4081, -2, 0, 1
Let -3*o**5/5 - 12*o**4/5 + 21*o**3/5 + 102*o**2/5 + 72*o/5 = 0. What is o?
-4, -2, -1, 0, 3
Suppose 33*z**4 - 6063*z**3 - 64851*z**2 - 177285*z - 43650 = 0. What is z?
-5, -3/11, 194
Factor -2*i**3/15 - 1894*i**2/3 - 2246750*i/3 - 11186450/3.
-2*(i + 5)*(i + 2365)**2/15
Let 15*g**4 - 246140*g**3 + 82045*g**2 = 0. Calculate g.
0, 1/3, 16409
Solve -r**2 - 617*r + 79134 = 0 for r.
-726, 109
What is d in 2*d**4/3 - 186*d**3 - 7106*d**2/3 + 11866*d - 9312 = 0?
-16, 1, 3, 291
Suppose 25716*p**3/7 + 25713*p**2/7 - 3*p/7 = 0. What is p?
-1, 0, 1/8572
Determine g so that -9*g**2 + 10497*g - 3498 = 0.
1/3, 1166
Determine x, given that 55*x**5 - 14460*x**4 - 15895*x**3 + 14460*x**2 + 15840*x = 0.
-12/11, -1, 0, 1, 264
Determine y so that -2*y**2/9 - 204400*y/9 - 5222420000/9 = 0.
-51100
Factor 2*d**3 + 1314*d**2 + 241302*d + 8105414.
2*(d + 43)*(d + 307)**2
Factor -78*c**2/7 - 368*c/7 + 110/7.
-2*(c + 5)*(39*c - 11)/7
Factor i**4/6 + 64*i**3/3 + 253*i**2/6 + 21*i.
i*(i + 1)**2*(i + 126)/6
Let g**2 + 218*g + 7912 = 0. What is g?
-172, -46
Factor -2*a**2/3 + 613952*a/3 - 47117132288/3.
-2*(a - 153488)**2/3
Let 2*g**3/9 - 172*g**2/9 + 1490*g/9 + 4000/3 = 0. Calculate g.
-5, 16, 75
Determine i, given that 3*i**4 - 33*i**3 - 2418*i**2 + 2448*i = 0.
-24, 0, 1, 34
Factor -2*n**2/23 + 5648*n/23 - 5646/23.
-2*(n - 2823)*(n - 1)/23
Find j such that 2037*j**2 - 10230*j + 225 = 0.
15/679, 5
Suppose -3*t**5 + 27*t**4 + 198*t**3 + 168*t**2 = 0. What is t?
-4, -1, 0, 14
Let -i**5/4 + 223*i**4/4 - 6047*i**3/2 - 18815*i**2/2 - 38081*i/4 - 12769/4 = 0. What is i?
-1, 113
Factor -u**3/5 - 10144*u**2/5 + 40588*u/5 - 40592/5.
-(u - 2)**2*(u + 10148)/5
Factor -q**2/4 + 1355*q + 2711.
-(q - 5422)*(q + 2)/4
Determine u so that 2*u**5/9 + 394*u**4/9 + 25960*u**3/9 + 580448*u**2/9 + 184960*u/3 = 0.
-68, -60, -1, 0
Factor -5*k**4 - 3090*k**3 - 3055*k**2 + 18510*k.
-5*k*(k - 2)*(k + 3)*(k + 617)
Suppose -2*y**2 + 60676*y - 460197122 = 0. What is y?
15169
Determine h so that -12*h**3 + 1276*h**2 + 10520*h - 3648 = 0.
-8, 1/3, 114
Find i, given that -2*i**3 - 122896*i**2 + 122898*i = 0.
-61449, 0, 1
Find g such that -g**5 + 37*g**3 - 48*g**2 - 252*g + 432 = 0.
-6, -3, 2, 3, 4
Let g**3 + 5590*g**2 - 11183*g + 5592 = 0. Calculate g.
-5592, 1
Let -3*u**2 - 648*u - 7344 = 0. What is u?
-204, -12
Find c, given that -4*c**2 - 4008*c - 11988 = 0.
-999, -3
Find r such that 5*r**2 - 2105*r + 109800 = 0.
61, 360
Factor 18*k**2 + 1621*k/2 + 45/2.
(k + 45)*(36*k + 1)/2
Factor -d**2/7 + 139*d/7 + 330.
-(d - 154)*(d + 15)/7
Solve -4*z**4/7 - 4960*z**3/7 - 2248776*z**2/7 - 437164352*z/7 - 30166917908/7 = 0 for z.
-359, -163
Factor -2*k**2/15 + 4358*k/5 - 52264/15.
-2*(k - 6533)*(k - 4)/15
Determine s, given that 5*s**5 - 710*s**4 + 15245*s**3 + 707160*s**2 + 4960080*s = 0.
-12, 0, 83
Factor -u**4 - 3793*u**3.
-u**3*(u + 3793)
Determine n so that n**3 - 1007*n**2 + 271115*n - 8703325 = 0.
37, 485
Suppose -2*b**2 - 181380*b - 4112338050 = 0. Calculate b.
-45345
Factor 4*d**2 - 424*d + 10336.
4*(d - 68)*(d - 38)
Suppose y**4 + 155*y**3 + 293*y**2 - 1979*y + 1530 = 0. What is y?
-153, -5, 1, 2
Find q such that -2*q**4/9 - 106*q**3/9 - 92*q**2/9 + 208*q/3 = 0.
-52, -3, 0, 2
Factor c**5 - 42*c**4 - 382*c**3 - 900*c**2 - 27*c + 1350.
(c - 50)*(c - 1)*(c + 3)**3
Find b, given that -12*b**4/7 + 2991*b**3/7 + 2277*b**2/7 - 6756*b/7 + 1500/7 = 0.
-2, 1/4, 1, 250
Let 4*y**4/5 - 84*y**3 + 2008*y**2/5 - 768*y/5 - 640 = 0. What is y?
-1, 2, 4, 100
Let 4*a**2 + 38920*a + 94672900 = 0. Calculate a.
-4865
What is h in 3*h**5 + 4614*h**4 + 1717266*h**3 - 44156256*h**2 - 93445869*h - 47576958 = 0?
-781, -1, 26
Suppose 25*i**3 - 32630*i**2 + 6525*i = 0. What is i?
0, 1/5, 1305
Let 2*g**2 - 644*g + 3792 = 0. What is g?
6, 316
Factor -5*f**3/3 + 9085*f**2 - 647640*f + 11618640.
-5*(f - 5379)*(f - 36)**2/3
Let 5*c**3 - 44730*c**2 - 716640*c - 2867840 = 0. What is c?
-8, 8962
Determine f, given that -105*f**3/2 + 593*f**2/2 + 110*f + 6 = 0.
-2/7, -1/15, 6
Factor 2*h**3/9 - 4588*h**2/9 + 2640370*h/9 - 10488200/9.
2*(h - 1145)**2*(h - 4)/9
Factor -10*w**2/9 + 137558*w/9.
-2*w*(5*w - 68779)/9
Determine q so that 2*q**5 - 142*q**4 + 3234*q**3 - 30250*q**2 + 101156*q = 0.
0, 11, 38
Determine h so that -12*h**3 + 5264*h**2 - 420336*h + 277888 = 0.
2/3, 104, 334
Solve 55*n**2 + 543095*n - 296250 = 0.
-9875, 6/11
Factor -9272709*j**4 + 213088689*j**3 + 223737321*j**2 + 230353217*j/3 + 8741816.
-(j - 24)*(303*j + 103)**3/3
Factor 2*v**3/7 + 180*v**2/7 - 1982*v/7 + 1800/7.
2*(v - 9)*(v - 1)*(v + 100)/7
Factor -82*t**3/3 - 996*t**2 - 1910*t - 2824/3.
-2*(t + 1)**2*(41*t + 1412)/3
Factor -2*k**4/9 + 626*k**3/9 - 15794*k**2/3 - 28090*k.
-2*k*(k - 159)**2*(k + 5)/9
Determine c so that 2*c**2/17 + 28654*c/17 + 28652/17 = 0.
-14326, -1
Determine y so that -5*y**3/6 - 5335*y**2/6 + 890*y = 0.
-1068, 0, 1
Factor v**5/3 + 154*v**4/3 + 584*v**3 + 6880*v**2/3 + 9088*v/3.
v*(v + 4)**3*(v + 142)/3
Factor -4*l**2 - 1140*l - 4496.
-4*(l + 4)*(l + 281)
Suppose 2*v**2/9 - 64474*v/9 + 128924/3 = 0. What is v?
6, 32231
Let 6*s**5/7 + 669*s**4 + 4659*s**3/7 - 14061*s**2/7 - 23397*s/7 - 9354/7 = 0. Calculate s.
-1559/2, -1, 2
Solve w**4 - 12*w**3 + 45*w**2 - 50*w = 0.
0, 2, 5
Factor -2*z**2 + 12148*z - 18446738.
-2*(z - 3037)**2
Solve -5*t**4 - 2070*t**3 - 18120*t**2 + 42470*t - 22275 = 0 for t.
-405, -11, 1
Determine s so that -12*s**5/7 - 256*s**4/7 - 1284*s**3/7 - 320*s**2 - 1200*s/7 = 0.
-15, -10/3, -2, -1, 0
Find q, given that -2*q**4 - 94*q**3 + 1508*q**2 + 12304*q - 66816 = 0.
-58, -9, 4, 16
Factor s**2 + 1363*s - 41790.
(s - 30)*(s + 1393)
Find c, given that 4*c**3 - 19348*c**2 + 77344*c - 77328 = 0.
2, 4833
Factor 2*l**4/11 - 7948*l**3/11 + 23832*l**2/11 - 23828*l/11 + 722.
2*(l - 3971)*(l - 1)**3/11
What is j in j**3/12 + 25*j**2/4 - 40179*j/4 - 19529491/12 = 0?
-227, 379
Solve 2*o**2/5 + 48092*o/5 + 289105058/5 = 0.
-12023
Let 4*a**3 + 477812*a**2 = 0. What is a?
-119453, 0
Factor -5*r**2 + 8670*r - 128925.
-5*(r - 1719)*(r - 15)
Factor u**4/5 - 39*u**3/5 + 361*u**2/5 - 609*u/5 + 286/5.
(u - 26)*(u - 11)*(u - 1)**2/5
Factor 2*t**2/15 + 16244*t/5.
2*t*(t + 24366)/15
Find x, given that 44616*x**4/5 - 1349712*x**3/5 - 3944214*x**2/5 - 3346698*x/5 - 761112/5 = 0.
-31/26, -4/11, 33
Factor 9*r**2 - 2202*r + 3645.
3*(r - 243)*(3*r - 5)
Solve -2*q**3/13 + 344*q**2/13 - 5120*q/13 + 1536 = 0 for q.
8, 156
Determine i so that 2*i**3 - 1984*i**2/7 + 16190*i/7 + 684 = 0.
-2/7, 9, 133
Find f such that -3*f**5/2 + 2011*f**4/2 - 2339*f**3 + 668*f**2 = 0.
0, 1/3, 2, 668
Suppose i**2/3 - 202483*i/3 - 202484/3 = 0. What is i?
-1, 202484
Find l such that l**5 - 8260*l**4 + 22737021*l**3 - 20842225182*l**2 - 41843774772*l + 62663271192 = 0.
-3, 1, 2754
Find c such that -5*c**3 + 360*c**2 - 1360*c = 0.
0, 4, 68
Solve -10*q**4/21 - 58*q**3/7 - 76*q**2/7 - 64*q/21 = 0 for q.
-16, -1, -2/5, 0
Suppose f**2/9 - 379490*f/9 + 379489/9 = 0. What is f?
1, 379489
Solve 5*p**5 - 8790*p**4 + 3880600*p**3 - 15163190*p**2 - 96386685*p + 107678060 = 0.
-4, 1, 7, 877
Determine d, given that d**5/3 - 37*d**4/3 - 401*d**3/3 - 607*d**2/3 + 400*d/3 + 644/3 = 0.
-7, -2, -1, 1, 46
Solve w**5 - 49*w**4 - 547*w**3 + 1417*w**2 + 1914*w = 0 for w.
-11, -1, 0, 3, 58
Suppose n**4/7 + 1683*n**3/7 + 6711*n**2/7 - 8395*n/7 = 0. Calculate n.
-1679, -5, 0, 1
Let -q**3 - 23*q**2 + 2556*q - 34272 = 0. What is q?
-68, 21, 24
Factor -2524*p**3 - 7560*p**2 - 5012*p + 24.
-4*(p + 1)*(p + 2)*(631*p - 3)
Solve -4*x**2/7 - 1370568*x/7 - 117403540164/7 = 0 for x.
-171321
Factor -74*s**3/9 - 215092*s**2/9 - 156368954*s/9 - 33779344/3.
-2*(s + 1453)**2*(37*s + 24)/9
Factor 2*p**3/7 - 404*p**2/7 - 13470*p/7 - 1