)*(331131*k - 2)/7
Suppose -b**2/2 - 776*b + 4665/2 = 0. Calculate b.
-1555, 3
Determine r so that r**2 + 8943*r - 8944 = 0.
-8944, 1
Solve -5*g**2 + 4129670*g - 852708715445 = 0.
412967
Let -5*u**4/2 - 32035*u**3/2 - 1206500*u**2 - 22854910*u = 0. What is u?
-6331, -38, 0
Let 5*p**5 - 625*p**4 + 24270*p**3 - 283030*p**2 + 408365*p + 716295 = 0. What is p?
-1, 3, 17, 53
Factor -b**2/3 + 73760*b/3 + 24587.
-(b - 73761)*(b + 1)/3
Find v such that v**5 + 288*v**4 + 20437*v**3 - 41742*v**2 + 21016*v = 0.
-148, -142, 0, 1
What is u in -2*u**2/5 - 202828*u/5 - 5142399698/5 = 0?
-50707
Factor -2*x**2/3 + 152*x/3 + 1358.
-2*(x - 97)*(x + 21)/3
Factor -4*r**3 - 416*r**2 + 1748*r + 2160.
-4*(r - 5)*(r + 1)*(r + 108)
Factor -v**2/6 - 10*v - 59/6.
-(v + 1)*(v + 59)/6
Factor -3*b**3 - 214275*b**2 - 3826255104*b - 3826040832.
-3*(b + 1)*(b + 35712)**2
Solve -m**2/2 + 1589*m - 9525/2 = 0 for m.
3, 3175
Determine j so that 2*j**2 - 135868*j + 2307514178 = 0.
33967
Let y**2 + 152910*y - 611656 = 0. What is y?
-152914, 4
Let -2*w**3 - 256*w**2 + 27050*w - 26792 = 0. What is w?
-197, 1, 68
Factor -2*t**3/9 + 3832*t**2/3 - 11494*t/9.
-2*t*(t - 5747)*(t - 1)/9
Suppose 4*d**4/3 - 164*d**3 - 504*d**2 - 16*d/3 + 672 = 0. Calculate d.
-2, 1, 126
Find t, given that 2*t**2 + 296*t - 1216 = 0.
-152, 4
Determine m so that 17*m**4 - 20211*m**3 - 42872*m**2 - 4764*m = 0.
-2, -2/17, 0, 1191
What is m in 3*m**4/2 + 62217*m**3/2 + 161274237*m**2 - 161367570*m - 322610700 = 0?
-10370, -1, 2
Solve 3*v**2/8 + 31803*v/8 - 95463/4 = 0 for v.
-10607, 6
Factor 6239666321*a**4/4 + 549060132719*a**3/2 - 2684260845*a**2 + 8748378*a - 9504.
(a + 176)*(1841*a - 6)**3/4
Suppose -s**3 + 2296*s**2 - 1306349*s - 13294090 = 0. Calculate s.
-10, 1153
Solve -4*m**2/9 + 1164*m + 20968/9 = 0 for m.
-2, 2621
Let -2*c**4 + 204*c**3 - 6714*c**2 + 73144*c - 121032 = 0. What is c?
2, 18, 41
Factor -2*l**3/3 + 66400*l**2/3 - 551120000*l/3.
-2*l*(l - 16600)**2/3
Factor -4*v**2/7 + 2680*v/7 + 8076/7.
-4*(v - 673)*(v + 3)/7
Solve v**2 - 739*v + 26638 = 0 for v.
38, 701
Find x, given that -x**4/9 - 115*x**3/9 + 595*x**2/3 - 305*x - 516 = 0.
-129, -1, 3, 12
Factor b**2/7 + 6611*b/7 - 225930/7.
(b - 34)*(b + 6645)/7
Factor 49*p**3/4 - 931*p**2/2 - 1899*p/4 - 117.
(p - 39)*(7*p + 3)*(7*p + 4)/4
Factor p**5 + 307*p**4 + 243*p**3 - 19035*p**2 + 74088*p - 82620.
(p - 3)**3*(p + 10)*(p + 306)
Solve 4*i**3 - 144*i**2 - 13948*i + 28440 = 0.
-45, 2, 79
Determine k, given that k**4/8 + 9*k**3/4 + 15*k**2/8 - 269*k/4 + 63 = 0.
-14, -9, 1, 4
Factor 2*l**3 + 30*l**2 - 5954*l + 5922.
2*(l - 47)*(l - 1)*(l + 63)
Determine n so that n**4 - 1855*n**3 - 5578*n**2 + 7432*n = 0.
-4, 0, 1, 1858
Find j, given that 3*j**2/5 - 388836*j/5 + 12599452908/5 = 0.
64806
Factor 2*b**3/5 + 174*b**2/5 + 576*b + 7128/5.
2*(b + 3)*(b + 18)*(b + 66)/5
What is g in -6*g**5/11 + 60*g**4 - 3090*g**3/11 - 6420*g**2/11 + 12456*g/11 + 15120/11 = 0?
-2, -1, 2, 6, 105
Find m, given that 2*m**2/5 - 461112*m/5 + 26578034568/5 = 0.
115278
Determine m, given that -3*m**4/4 - 177*m**3/4 + 6471*m**2/4 + 14121*m/4 - 5103 = 0.
-84, -3, 1, 27
Factor 3*d**3 + 9591*d**2 - 19191*d + 9597.
3*(d - 1)**2*(d + 3199)
Suppose -d**4/2 + 72*d**3 + 2*d**2 - 288*d = 0. What is d?
-2, 0, 2, 144
Find q such that -3*q**5 + 249*q**4 + 513*q**3 - 249*q**2 - 510*q = 0.
-2, -1, 0, 1, 85
What is i in -2*i**5/3 + 194*i**4/3 - 4586*i**3/3 - 6778*i**2/3 + 49588*i/3 - 38416/3 = 0?
-4, 1, 2, 49
Factor -2*u**2/5 + 51116*u - 1633028410.
-2*(u - 63895)**2/5
Determine w, given that 604*w**5 - 2420*w**4 + 1828*w**3 - 12*w**2 = 0.
0, 1/151, 1, 3
Factor n**2/2 + 92409*n/2.
n*(n + 92409)/2
Let -2*c**4/19 + 70*c**3/19 + 622*c**2/19 - 1446*c/19 + 756/19 = 0. What is c?
-9, 1, 42
Factor 3*q**2 - 594*q - 20520.
3*(q - 228)*(q + 30)
What is x in 19*x**3/4 - 4361*x**2 + 17825*x - 1828 = 0?
2/19, 4, 914
Factor 5*r**2 + 16380*r - 882185.
5*(r - 53)*(r + 3329)
Factor k**3 - 4417*k**2 - 17681*k - 13263.
(k - 4421)*(k + 1)*(k + 3)
Determine o so that 2*o**2 - 53544*o + 358369992 = 0.
13386
Factor l**2/5 + 12*l - 469/5.
(l - 7)*(l + 67)/5
Solve t**2/5 - 2629*t - 13146/5 = 0.
-1, 13146
Factor -3*x**2 + 804504*x - 53935557168.
-3*(x - 134084)**2
Let -8*p**3/5 - 1242*p**2 + 10886*p/5 - 4668/5 = 0. Calculate p.
-778, 3/4, 1
Solve 2*i**5/5 - 6*i**4/5 - 818*i**3/5 - 1322*i**2 - 2160*i - 1000 = 0 for i.
-10, -1, 25
Let -h**4 - 18167*h**3 + 145400*h**2 = 0. What is h?
-18175, 0, 8
Factor -5*v**4/6 - 3010*v**3/3 + 55800*v**2 - 1014120*v + 6113880.
-5*(v - 18)**3*(v + 1258)/6
Factor -s**5/4 + 9*s**4/4 + 179*s**3/2 + 721*s**2/2 - 8085*s/4 - 42875/4.
-(s - 25)*(s - 5)*(s + 7)**3/4
Solve -5*l**5 - 129395*l**4 - 129385*l**3 + 129395*l**2 + 129390*l = 0.
-25878, -1, 0, 1
Find x, given that -4*x**2 - 3787480*x - 896562796900 = 0.
-473435
Determine l, given that 3*l**3 - 165*l**2 + 1344*l + 27648 = 0.
-9, 32
Factor -2*i**4/7 - 125242*i**3/7 - 1960757440*i**2/7 - 1960632200*i/7.
-2*i*(i + 1)*(i + 31310)**2/7
Let -u**5/4 + 163*u**4 - 26731*u**3 + 105299*u**2/2 + 106925*u/4 - 105625/2 = 0. What is u?
-1, 1, 2, 325
Factor -14*q**2/3 - 10*q/3.
-2*q*(7*q + 5)/3
Factor -h**2/10 - 1601*h/10 - 3318.
-(h + 21)*(h + 1580)/10
Find o such that 32*o**5/7 + 440*o**4/7 + 656*o**3/7 - 5650*o**2/7 + 7412*o/7 - 2890/7 = 0.
-17/2, 1, 5/4
Find g such that -2*g**2 - 926616*g - 107327151432 = 0.
-231654
Solve -250*y**2 + 7715*y + 1085 = 0 for y.
-7/50, 31
Solve -40*l**4 + 10725*l**3 + 31100*l**2 + 17625*l - 2710 = 0 for l.
-2, -1, 1/8, 271
Factor v**3/5 - 433*v**2 + 2158*v/5 + 12984/5.
(v - 2164)*(v - 3)*(v + 2)/5
Find d such that 2*d**3 + 454142*d**2 + 25780392448*d - 25780846592 = 0.
-113536, 1
Factor -3*b**4 - 14502*b**3 + 43524*b**2 - 43530*b + 14511.
-3*(b - 1)**3*(b + 4837)
Suppose -2*z**4 - 2012*z**3 - 58672*z**2 - 109312*z = 0. What is z?
-976, -28, -2, 0
Factor -2*a**3 + 64606*a**2 + 129218*a + 64610.
-2*(a - 32305)*(a + 1)**2
Solve -2*j**4 + 4786*j**3 - 2870382*j**2 + 8549030*j + 11424200 = 0 for j.
-1, 4, 1195
Let -4*x**4 + 368*x**3 - 9432*x**2 + 41968*x + 51772 = 0. Calculate x.
-1, 7, 43
Factor -2*j**2/3 - 2870*j/3 - 3816.
-2*(j + 4)*(j + 1431)/3
Determine v so that -v**2 + 85*v + 450 = 0.
-5, 90
Factor 2*x**2 - 528*x - 2690.
2*(x - 269)*(x + 5)
Solve p**4/6 + 175*p**3/6 + 1319*p**2 + 11266*p/3 + 7396/3 = 0 for p.
-86, -2, -1
Factor 21*k**3/5 - 339*k**2 + 7494*k/5 + 456.
3*(k - 76)*(k - 5)*(7*k + 2)/5
Factor 2*l**4 + 42*l**3 - 12104*l**2.
2*l**2*(l - 68)*(l + 89)
Find a, given that -64*a**4 + 9599*a**3 + 19606*a**2 + 304*a = 0.
-2, -1/64, 0, 152
Factor -20*y**2 - 406505*y - 101625.
-5*(y + 20325)*(4*y + 1)
Let -2*g**3/9 + 296*g**2/9 + 170*g = 0. What is g?
-5, 0, 153
Factor 2*t**2 + 304*t + 894.
2*(t + 3)*(t + 149)
Find v such that 2*v**3/9 + 4256*v**2/9 - 60466*v/3 + 212660 = 0.
-2170, 21
Determine x, given that 2*x**2/5 + 186*x/5 - 55188/5 = 0.
-219, 126
Solve 4*b**5/5 + 28*b**4/5 - 1352*b**3/5 - 1176*b**2 + 20340*b - 18900 = 0 for b.
-15, 1, 7, 15
Find w such that -2*w**4 - 534*w**3 + 45176*w**2 + 140280*w = 0.
-334, -3, 0, 70
Factor -o**2 + 617*o.
-o*(o - 617)
Factor -3*m**3 - 1619*m**2 + 3800*m + 3252.
-(m - 3)*(m + 542)*(3*m + 2)
Find d, given that 4*d**2 + 2781800*d + 483650702500 = 0.
-347725
Suppose -2*l**3/9 - 632*l**2 + 107744*l/3 - 4547200/9 = 0. Calculate l.
-2900, 28
Factor 4*l**2 - 8346600*l + 4354108222500.
4*(l - 1043325)**2
Find f, given that -3*f**4 + 12*f**3 + 1131*f**2 + 7164*f + 6048 = 0.
-12, -7, -1, 24
Factor r**2/5 - 26*r - 264/5.
(r - 132)*(r + 2)/5
Factor 42*q**2 - 22256*q - 2120.
2*(q - 530)*(21*q + 2)
Solve -5*r**2 - 753140*r = 0.
-150628, 0
Solve 2*f**2 + 14*f/11 - 36/11 = 0 for f.
-18/11, 1
Factor -2*a**3/7 - 21178*a**2/7 + 42362*a/7 - 3026.
-2*(a - 1)**2*(a + 10591)/7
Solve 5*v**5 + 700*v**4 + 14400*v**3 - 47450*v**2 + 48875*v - 16530 = 0.
-114, -29, 1
Factor d**3/2 + 1561*d**2 + 2340361*d/2 - 75938430.
(d - 60)*(d + 1591)**2/2
Factor 3*j**4 - 111*j**3 + 558*j**2.
3*j**2*(j - 31)*(j - 6)
Factor -2*q**3/11 - 2858*q**2/11 - 5710*q/11 - 2854/11.
-2*(q + 1)**2*(q + 1427)/11
Factor 25*a**3 - 158*a**2 + 165*a.
a*(a - 5)*(25*a - 33)
Determine j, given that -2*j**5/7 - 972*j**4 + 13614*j**3/7 - 6808*j**2/7 = 0.
-3404, 0, 1
Factor 6*c**3/11 - 35478*c**2/11 + 141840*c/11 - 141816/11.
6*(c - 5909)*(c - 2)*