 5*g**3 + 100*g**2 - 40305*g - 367200.
5*(g - 85)*(g + 9)*(g + 96)
Factor -b**2/5 + 96*b/5 + 3472/5.
-(b - 124)*(b + 28)/5
Let -i**4/4 + 19*i**3/2 + 1015*i**2/4 - 2096*i + 3105 = 0. Calculate i.
-23, 2, 5, 54
Factor 2*s**2/7 - 472*s/7 + 8640/7.
2*(s - 216)*(s - 20)/7
Determine d so that 4*d**3/3 + 398528*d**2/3 - 797068*d/3 + 398536/3 = 0.
-99634, 1
Factor 5*z**4 + 18030*z**3 + 804600*z**2 + 12035250*z + 60091875.
5*(z + 15)**3*(z + 3561)
What is k in 2*k**2/9 + 16480*k/9 - 38486/3 = 0?
-8247, 7
Factor -12*m**2/7 - 11978*m/7 + 58174/7.
-2*(m + 1003)*(6*m - 29)/7
Factor -2*o**2/5 + 21090*o - 1159708/5.
-2*(o - 52714)*(o - 11)/5
Factor q**2/3 - 4928*q/3 + 4927/3.
(q - 4927)*(q - 1)/3
Find b, given that 12*b**2 - 226*b - 546 = 0.
-13/6, 21
Let g**3/5 - 88*g**2/5 - 19*g + 534/5 = 0. Calculate g.
-3, 2, 89
Let -a**2/3 + 1322*a/3 - 1321/3 = 0. Calculate a.
1, 1321
Solve -3*a**2/7 + 2151*a/7 + 178200/7 = 0 for a.
-75, 792
Factor -16*h**4 + 2183952*h**3 - 2183940*h**2 + 545984*h.
-4*h*(h - 136496)*(2*h - 1)**2
Let 2*v**5/9 + 694*v**4/3 + 551104*v**3/9 + 1603040*v**2/3 + 473344*v = 0. Calculate v.
-516, -8, -1, 0
Factor -i**3 + 290*i**2 - 2537*i + 2248.
-(i - 281)*(i - 8)*(i - 1)
Determine u, given that u**4/4 + 1006*u**3 + 2026083*u**2/2 + 2023066*u + 4044121/4 = 0.
-2011, -1
Solve -2*c**4/11 - 144*c**3/11 - 678*c**2/11 - 536*c/11 = 0 for c.
-67, -4, -1, 0
Factor -2*f**3 - 6500*f**2 + 65150*f - 163000.
-2*(f - 5)**2*(f + 3260)
Factor n**5/5 + 61*n**4/5 + 577*n**3/5 + 275*n**2 + 1258*n/5 + 80.
(n + 1)**3*(n + 8)*(n + 50)/5
Find q, given that -q**4/2 - 3185*q**3/4 + 797*q**2/2 + 1593*q/4 = 0.
-1593, -1/2, 0, 1
Factor -2*n**3 - 9022*n**2 - 27052*n - 18032.
-2*(n + 1)*(n + 2)*(n + 4508)
Factor 4*s**2/7 - 666776*s/7 + 666772/7.
4*(s - 166693)*(s - 1)/7
Suppose -2*h**2 - 2936*h = 0. What is h?
-1468, 0
Find s, given that 2*s**3 + 252902*s**2 + 7994801248*s - 7995054152 = 0.
-63226, 1
Solve -252*u**3 + 605284*u**2 - 363437012*u - 28848020 = 0 for u.
-5/63, 1201
Let 52*j**4/11 - 142*j**3 + 516*j**2 + 100872*j/11 - 3888/11 = 0. Calculate j.
-6, 1/26, 18
Suppose -26*q**5/11 - 310*q**4/11 + 114*q**3/11 + 7254*q**2/11 - 2592*q/11 - 29160/11 = 0. What is q?
-9, -90/13, -2, 3
Factor 4*s**5 + 3032*s**4 + 855312*s**3 + 106259744*s**2 + 4895416960*s.
4*s*(s + 140)*(s + 206)**3
Find i such that -2*i**2/7 + 2472*i/7 + 4952/7 = 0.
-2, 1238
Factor p**4/2 + 21*p**3/2 - 9*p**2/2 - 189*p/2.
p*(p - 3)*(p + 3)*(p + 21)/2
Factor 4*l**2/3 + 194700*l - 584104/3.
4*(l - 1)*(l + 146026)/3
Factor -4*y**3 + 113784*y**2 - 808947300*y - 3237610000.
-4*(y - 14225)**2*(y + 4)
Let 16*k**4 + 56574*k**3 + 50062640*k**2 + 93654534*k - 12489156 = 0. What is k?
-1767, -2, 1/8
Factor 4*w**3/5 - 3084*w**2/5 + 3628*w + 33660.
4*(w - 765)*(w - 11)*(w + 5)/5
Find i, given that 535*i**3 + 2105*i**2/4 - 35*i/4 = 0.
-1, 0, 7/428
Factor -3*w**3/4 + 1101*w**2/2 - 101565*w + 200934.
-3*(w - 366)**2*(w - 2)/4
Factor x**2/2 + 314*x + 80907/2.
(x + 181)*(x + 447)/2
Solve -q**5 + 8544*q**4 - 18258522*q**3 + 36457256*q**2 + 54724323*q = 0 for q.
-1, 0, 3, 4271
Let -2*n**5/11 - 470*n**4/11 - 27814*n**3/11 - 54226*n**2/11 - 26880*n/11 = 0. Calculate n.
-128, -105, -1, 0
Find n, given that -3*n**4 + 114009*n**3 - 228009*n**2 + 114003*n = 0.
0, 1, 38001
Find p such that p**3/6 + 14407*p**2/6 + 7202*p = 0.
-14404, -3, 0
Determine s so that 3*s**2 + 33393*s = 0.
-11131, 0
Factor -5*r**4 - 105*r**3 + 110*r**2.
-5*r**2*(r - 1)*(r + 22)
Find c, given that -2*c**2 - 3587312*c - 1608600923168 = 0.
-896828
Determine k so that -4*k**2 + 31112*k + 93372 = 0.
-3, 7781
Solve -2*c**4 - 44*c**3 - 186*c**2 + 720*c + 864 = 0 for c.
-12, -1, 3
Determine l so that 3*l**2/2 + 2754*l + 5502 = 0.
-1834, -2
Determine l, given that 4*l**5 - 4644*l**4 + 23136*l**3 - 18496*l**2 = 0.
0, 1, 4, 1156
Find m, given that -2*m**2 + 60*m + 43358 = 0.
-133, 163
Determine f so that 2*f**5/15 + 3082*f**4/15 + 395266*f**3/5 - 396294*f**2/5 = 0.
-771, 0, 1
Factor 4*i**2/7 - 10084*i/7 + 1440.
4*(i - 2520)*(i - 1)/7
Factor 384492*t**3/5 + 1155624*t**2/5 + 6447*t/5 + 9/5.
3*(t + 3)*(358*t + 1)**2/5
Factor n**3/5 - 202*n**2/5 - 2319*n/5 - 5112/5.
(n - 213)*(n + 3)*(n + 8)/5
Suppose -t**2/3 + 14771*t/3 + 29546/3 = 0. Calculate t.
-2, 14773
Factor -2*o**4/7 - 724*o**3/7 + 2298*o**2.
-2*o**2*(o - 21)*(o + 383)/7
Determine i so that -2*i**3 + 1652*i**2 - 203520*i - 61747200 = 0.
-134, 480
Let -28*h**2 - 28192*h + 4028 = 0. What is h?
-1007, 1/7
Determine h so that h**3/3 - 3436*h**2/3 + 159744*h - 5688576 = 0.
72, 3292
Solve -5*n**2/3 + 179920*n/3 - 1618560320/3 = 0 for n.
17992
Determine f so that -2*f**4/11 - 90*f**3/11 + 24*f**2/11 + 4640*f/11 - 1152 = 0.
-44, -9, 4
Factor -3*b**3 + 2967*b**2 - 698280*b - 17666484.
-3*(b - 506)**2*(b + 23)
Solve h**5/4 + 7*h**4 + 36*h**3 + 68*h**2 + 44*h = 0 for h.
-22, -2, 0
Find b such that b**3 + 189*b**2 - 3646*b + 16560 = 0.
-207, 8, 10
Let -196*b**4 + 5852*b**3 + 113084*b**2 - 100092*b + 21672 = 0. Calculate b.
-14, 3/7, 43
Factor 4*s**2 + 859864*s - 2579628.
4*(s - 3)*(s + 214969)
Factor -5*m**2 - 235*m + 8050.
-5*(m - 23)*(m + 70)
Suppose -n**4/4 - 315*n**3/4 = 0. What is n?
-315, 0
Factor f**3 + 425*f**2 - 857*f - 1281.
(f - 3)*(f + 1)*(f + 427)
Factor -4*t**2 - 2044*t + 40280.
-4*(t - 19)*(t + 530)
Determine q so that q**4 + 998*q**3 + 154008*q**2 + 897210*q + 1332423 = 0.
-809, -183, -3
Factor 15*k**2 - 260*k - 2555.
5*(k + 7)*(3*k - 73)
Factor 3*h**2/8 + 5271*h/8 - 84465.
3*(h - 120)*(h + 1877)/8
Let -3*a**4/2 + 525*a**3 - 6219*a**2/2 + 4644*a = 0. Calculate a.
0, 3, 344
Find f, given that -2*f**4/11 - 240*f**3 - 876446*f**2/11 - 3450552*f/11 + 4329640/11 = 0.
-658, -5, 1
Find d, given that -4*d**2/3 + 494*d/3 + 2976 = 0.
-16, 279/2
Determine m so that -4*m**4 - 312*m**3 - 5764*m**2 + 12480*m - 6400 = 0.
-40, 1
Solve -385*d**3 + 66230*d**2 - 2849180*d + 73960 = 0.
2/77, 86
What is a in -a**4 - 46*a**3 + 1123*a**2 - 7088*a + 12480 = 0?
-65, 3, 8
Let -4*x**5 - 1028*x**4 - 9048*x**3 - 29936*x**2 - 43744*x - 23808 = 0. Calculate x.
-248, -3, -2
Factor 3*g**2 - 447*g - 13050.
3*(g - 174)*(g + 25)
Let -v**5/4 + 69*v**4/4 - 613*v**3/2 + 966*v**2 = 0. What is v?
0, 4, 23, 42
Find u such that u**2/6 - 220*u/3 + 6157/2 = 0.
47, 393
Suppose -3*x**2/2 - 2957*x/2 + 6435 = 0. Calculate x.
-990, 13/3
Solve 3*i**3/7 - 9945*i**2 + 403819209*i/7 + 403888827/7 = 0 for i.
-1, 11603
What is u in 2*u**4/7 + 804*u**3/7 + 10928*u**2/7 + 24576*u/7 - 99328/7 = 0?
-388, -8, 2
Suppose -5*p**3 + 76793*p**2 + 153589*p/5 + 15359/5 = 0. What is p?
-1/5, 15359
Suppose 5*v**5 - 3115*v**4 + 477250*v**3 + 2483740*v**2 - 2957880*v = 0. What is v?
-6, 0, 1, 314
Suppose 4*o**2 + 120468*o - 481936 = 0. Calculate o.
-30121, 4
Suppose -4*b**5/7 - 16*b**4/7 + 8*b**3 + 144*b**2/7 - 180*b/7 = 0. What is b?
-5, -3, 0, 1, 3
Factor 2*c**2/11 + 1240*c/11 - 48618/11.
2*(c - 37)*(c + 657)/11
Let -o**3 - 279132*o**2 + 558267*o - 279134 = 0. Calculate o.
-279134, 1
Determine o so that -11*o**4/3 - 77151*o**3 - 1216953371*o**2/3 + 1956362499*o + 1107335290/3 = 0.
-10523, -2/11, 5
Suppose -32*b**3 - 700*b**2 - 2984*b + 384 = 0. What is b?
-16, -6, 1/8
Factor 5*p**3 + 145*p**2 + 600*p.
5*p*(p + 5)*(p + 24)
Suppose a**4/4 + 149*a**3/2 + 32989*a**2/4 + 401853*a + 7273809 = 0. What is a?
-87, -62
Determine y, given that -8*y**5/7 + 303028*y**4/7 - 2870546020*y**3/7 + 18642264800*y**2/7 + 4712488704*y + 11474307072/7 = 0.
-1, -1/2, 8, 18936
Determine w so that 2*w**3/7 + 1314*w**2/7 - 188*w = 0.
-658, 0, 1
Factor -m**2/6 + 3740*m/3 + 7481/6.
-(m - 7481)*(m + 1)/6
Determine g so that -g**2/2 + 36321*g/2 - 36319 = 0.
2, 36319
Let -c**5 + 87*c**4 - 2629*c**3 + 30633*c**2 - 86650*c - 120000 = 0. Calculate c.
-1, 6, 25, 32
Factor -3*a**4/4 + 51*a**3/2 - 639*a**2/4 - 969*a - 1083.
-3*(a - 19)**2*(a + 2)**2/4
Find n such that 45*n**5 + 678*n**4 + 3600*n**3 + 7662*n**2 + 4995*n + 300 = 0.
-5, -4, -1, -1/15
Factor -626*a**2 - 5627*a + 63.
-(a + 9)*(626*a - 7)
Determine n, given that -3*n**2 - 21126*n = 0.
-7042, 0
Factor 2*b**2/25 - 12048*b/25 + 18144288/25.
2*(b - 3012)**2/25
Find l such that -3*l**3 - 6954*l**2 - 69303*l - 145404 = 0.
-2308, -7, -3
Factor -z**5 - 19*z**4 - 18*z**3.
-z**3*(z + 1)*(z + 18)
Solve 2*q**2/17 - 2277064*q/17 + 648127557512/17 = 0 for q.
569266
