actor c**2/3 - 16634*c + 207517467.
(c - 24951)**2/3
Determine y, given that -5*y**3 - 7195*y**2 - 2641520*y - 38020800 = 0.
-712, -15
Factor -5*k**4 - 515*k**3 - 3410*k**2 - 4800*k.
-5*k*(k + 2)*(k + 5)*(k + 96)
Find r, given that 3*r**2 - 5607*r + 149202 = 0.
27, 1842
Determine x, given that -x**4 + 515*x**3 - 68078*x**2 + 454660*x - 387096 = 0.
1, 6, 254
Factor -57*i**3/4 + 1339*i**2/2 + 2783*i/4 + 12.
-(i - 48)*(i + 1)*(57*i + 1)/4
Find c such that c**5/4 - 117*c**4 + 5061*c**3/4 - 7781*c**2/2 + 2742*c = 0.
0, 1, 4, 6, 457
Factor -2*s**2/9 + 2542*s/9 - 2540/9.
-2*(s - 1270)*(s - 1)/9
Factor -3*l**2/4 - 23613*l/2 - 47223/4.
-3*(l + 1)*(l + 15741)/4
Suppose -4*d**4 + 8140*d**3 - 4486752*d**2 + 343901376*d = 0. Calculate d.
0, 91, 972
Factor -3*l**3/5 - 1518*l**2/5 + 4689*l.
-3*l*(l - 15)*(l + 521)/5
Factor 2*n**4 - 46596*n**3 + 271398402*n**2.
2*n**2*(n - 11649)**2
Determine w so that w**2/3 - 2554*w/3 + 2551 = 0.
3, 2551
Factor 20*g**3 - 1968*g**2 - 11696*g + 4992.
4*(g - 104)*(g + 6)*(5*g - 2)
Determine k so that 2*k**4/5 - 458*k**3 + 91326*k**2/5 - 176022*k - 973728/5 = 0.
-1, 21, 1104
Factor -5*t**2 + 10795*t + 32430.
-5*(t - 2162)*(t + 3)
Determine l, given that -2*l**3 + 3926*l**2 - 1948096*l + 20956672 = 0.
11, 976
Solve -i**2 - 6320*i = 0 for i.
-6320, 0
Factor -5*r**3 + 3425*r**2 - 572750*r.
-5*r*(r - 395)*(r - 290)
Factor -y**3/6 + 433*y**2/6 + 653*y/3 + 436/3.
-(y - 436)*(y + 1)*(y + 2)/6
Factor 3*n**2 + 13317*n - 13320.
3*(n - 1)*(n + 4440)
Factor q**2/2 - 206*q - 1254.
(q - 418)*(q + 6)/2
Factor 2*z**2/3 - 14920*z/3 + 9944.
2*(z - 7458)*(z - 2)/3
Find k such that 2*k**4/19 + 320*k**3/19 + 13392*k**2/19 + 44928*k/19 - 146016/19 = 0.
-78, -6, 2
Suppose -4*n**4/5 + 12*n**3/5 + 43668*n**2/5 - 1829756*n/5 + 357216 = 0. Calculate n.
-120, 1, 61
Factor -o**3/4 + 11203*o**2/2 + 22407*o/4.
-o*(o - 22407)*(o + 1)/4
Determine t, given that 27*t**2 - 27687*t - 43134 = 0.
-14/9, 1027
Suppose 13*p**4/4 - 1247*p**3/2 - 32065*p**2/4 - 17023*p/2 - 1122 = 0. What is p?
-11, -1, -2/13, 204
Let o**3/3 - 913*o**2/3 + 5447*o/3 - 4535/3 = 0. Calculate o.
1, 5, 907
What is z in -3*z**2 - 3279*z - 108018 = 0?
-1059, -34
Factor -3*l**4 - 150690*l**3 - 1892289675*l**2.
-3*l**2*(l + 25115)**2
Factor -3*u**2/2 + 11559*u/2 + 5781.
-3*(u - 3854)*(u + 1)/2
Solve -g**5/4 + 705*g**4 - 1409*g**3/2 - 705*g**2 + 2819*g/4 = 0.
-1, 0, 1, 2819
Factor -r**4 - 60*r**3 + 532*r**2 - 816*r.
-r*(r - 6)*(r - 2)*(r + 68)
Suppose r**5/3 + 56*r**4/3 - 43*r**3 - 740*r**2/3 + 836*r/3 + 464 = 0. Calculate r.
-58, -3, -1, 2, 4
Factor 6*k**3/17 - 120686*k**2/17 + 606899722*k/17 - 202286498/17.
2*(k - 10057)**2*(3*k - 1)/17
Factor 2*x**3/17 + 674*x**2/17 - 40*x - 1352/17.
2*(x - 2)*(x + 1)*(x + 338)/17
Factor y**3/4 + 85085*y**2/2 + 510501*y/4.
y*(y + 3)*(y + 170167)/4
Find w such that -w**3/2 - 63*w**2/2 - 448*w + 1026 = 0.
-38, -27, 2
Factor -4*h**4 + 61576*h**3 - 237835732*h**2 + 6623237712*h - 46278335376.
-4*(h - 7683)**2*(h - 14)**2
Let 3*g**2 + 255*g + 252 = 0. Calculate g.
-84, -1
Let -h**2/6 - 36127*h/6 + 18064/3 = 0. Calculate h.
-36128, 1
Find l, given that l**4/4 - 295*l**3/4 + 21303*l**2/4 + 67795*l/4 - 22201 = 0.
-4, 1, 149
Determine t, given that 2*t**5/13 + 316*t**4/13 + 984*t**3 + 12688*t**2 + 21632*t = 0.
-104, -26, -2, 0
Solve -4*b**2/3 + 88*b + 1120/3 = 0 for b.
-4, 70
Solve -2*y**2/5 - 90848*y/5 - 1031669888/5 = 0 for y.
-22712
Factor -5*b**2/3 + 415*b/3 + 36040/3.
-5*(b - 136)*(b + 53)/3
Factor -2*n**2/5 + 67482*n/5.
-2*n*(n - 33741)/5
Solve 4*a**3 + 1960*a**2 + 208772*a + 6392336 = 0.
-356, -67
Find d such that -15*d**4 - 894*d**3 - 180*d**2 + 21438*d + 43011 = 0.
-59, -3, 27/5
Let 25*r**5/2 + 715*r**4 + 16319*r**3/2 - 27349*r**2 + 17778*r - 3276 = 0. Calculate r.
-39, -21, 2/5, 2
Factor 2*k**2 - 11330*k - 11332.
2*(k - 5666)*(k + 1)
Factor 85*d**3 + 7790*d**2 - 2815*d - 5060.
5*(d - 1)*(d + 92)*(17*d + 11)
Suppose -3*d**2 + 4306356*d - 1545391833228 = 0. What is d?
717726
Factor 3*j**3 + 1812*j**2 - 5457*j + 3642.
3*(j - 2)*(j - 1)*(j + 607)
Suppose -2*k**4/5 - 3652*k**3/5 - 2487018*k**2/5 - 149710088*k - 16805080360 = 0. Calculate k.
-515, -398
Find b, given that 81*b**4 + 333*b**3 - 348*b**2 + 60*b = 0.
-5, 0, 2/9, 2/3
What is q in -q**3/4 - 89*q**2/2 + 1665*q/4 - 1683/2 = 0?
-187, 3, 6
Factor -q**4 + 1460*q**3.
-q**3*(q - 1460)
Let y**4/4 - 111*y**3/4 - 1923*y**2/4 + 4175*y/4 - 1071/2 = 0. Calculate y.
-17, 1, 126
What is h in 4*h**2 + 1276*h - 46464 = 0?
-352, 33
Find m, given that -4*m**4 - 5752*m**3 + 34732*m**2 + 109648*m - 138624 = 0.
-1444, -3, 1, 8
Suppose 7*b**2 + 575156*b + 82701106084/7 = 0. What is b?
-287578/7
Let -4*x**2 - 366160*x - 8379571600 = 0. What is x?
-45770
Factor -5*m**2 + 4480*m - 13395.
-5*(m - 893)*(m - 3)
Let -4*x**3/3 + 47*x**2/3 - 68*x/3 - 20/3 = 0. Calculate x.
-1/4, 2, 10
Find s such that 3*s**2 - 143082*s - 572376 = 0.
-4, 47698
Solve 22*m**3 + 3943320*m**2 - 716968*m = 0.
-179242, 0, 2/11
Factor -y**5/7 - 8940*y**4/7 - 19900305*y**3/7 + 360138690*y**2/7 - 2164700700*y/7 + 4333271256/7.
-(y - 6)**3*(y + 4479)**2/7
Suppose l**2/5 - 473*l/5 + 7350 = 0. What is l?
98, 375
Factor 2*p**4 - 2164*p**3 + 6474*p**2.
2*p**2*(p - 1079)*(p - 3)
Factor 2*w**3/5 + 856*w**2/5 + 2554*w/5 + 340.
2*(w + 1)*(w + 2)*(w + 425)/5
Determine r, given that 28095008*r**3/3 - 28072520*r**2/3 - 14989*r/2 - 3/2 = 0.
-3/7496, 1
What is n in -4*n**4/5 - 10052*n**3 + 301656*n**2/5 - 603376*n/5 + 402272/5 = 0?
-12571, 2
Determine j so that 16*j**5/7 - 332*j**4/7 + 172*j**3/7 + 1408*j**2/7 - 944*j/7 - 320/7 = 0.
-2, -1/4, 1, 2, 20
Factor -5*r**2 + 6580*r + 448825.
-5*(r - 1381)*(r + 65)
Determine s, given that -s**2/9 - 521*s/3 + 6396 = 0.
-1599, 36
Suppose -2*f**2 - 145696*f - 2653415552 = 0. What is f?
-36424
Suppose 2*t**2 + 30834*t - 30836 = 0. What is t?
-15418, 1
Solve j**2/5 + 14052*j/5 + 49364676/5 = 0.
-7026
Suppose j**2/2 + 27526*j + 378840338 = 0. Calculate j.
-27526
Solve 2*r**3/11 + 29266*r**2/11 + 107601712*r/11 + 3941299496/11 = 0 for r.
-7298, -37
Factor 4*q**4 - 592*q**3 + 1748*q**2 - 1160*q.
4*q*(q - 145)*(q - 2)*(q - 1)
Factor -4*d**3 - 2488*d**2 - 2476*d + 4968.
-4*(d - 1)*(d + 2)*(d + 621)
Solve 52*o**5 - 8224*o**4 + 24508*o**3 + 141504*o**2 - 22320*o = 0 for o.
-3, 0, 2/13, 6, 155
Let -2*z**5/13 - 306*z**4/13 + 1268*z**3/13 + 1876*z**2/13 - 1266*z/13 - 1570/13 = 0. What is z?
-157, -1, 1, 5
Solve 64*h**5 + 542048*h**4 + 6768292*h**3 + 22767444*h**2 + 10148544*h + 1217808 = 0 for h.
-8457, -6, -1/4
Factor 218*t**3/3 + 2177*t**2/3 + 5420*t/3 - 25.
(t + 5)**2*(218*t - 3)/3
Determine p so that -3*p**3 - 753*p**2 + 3858*p + 4608 = 0.
-256, -1, 6
Solve u**5/3 - 8*u**4 - 479*u**3/3 + 3962*u**2 - 45080*u/3 = 0.
-23, 0, 5, 14, 28
Factor -2*j**3 - 3626*j**2 - 21700*j - 28912.
-2*(j + 2)*(j + 4)*(j + 1807)
What is k in -4*k**4 - 276*k**3 + 1860*k**2 + 4532*k + 2400 = 0?
-75, -1, 8
Suppose x**4 - 11557*x**3 + 173205*x**2 - 865775*x + 1442750 = 0. What is x?
5, 11542
What is k in 11*k**2 - 309*k/2 - 331/2 = 0?
-1, 331/22
Suppose 9*q**5/7 + 1118*q**4/7 + 182*q**3 - 9816*q**2/7 - 12195*q/7 - 2214/7 = 0. What is q?
-123, -3, -1, -2/9, 3
Factor -4*q**2 - 646912*q - 646908.
-4*(q + 1)*(q + 161727)
Let -3*f**5 + 4089*f**4 + 8199*f**3 - 12273*f**2 - 16392*f + 16380 = 0. What is f?
-2, 1, 1365
Suppose -w**2/2 - 16494*w - 136026018 = 0. Calculate w.
-16494
Factor b**3/5 + 16*b**2 + 231*b/5.
b*(b + 3)*(b + 77)/5
Let p**3/6 + 21799*p**2/6 = 0. Calculate p.
-21799, 0
Solve -4*g**2/3 - 39392*g/3 - 104960 = 0.
-9840, -8
What is d in -d**4 - 99*d**3 + 312*d**2 + 604*d - 816 = 0?
-102, -2, 1, 4
Suppose -1718658*o**3 + 37080*o**2 - 200*o = 0. Calculate o.
0, 10/927
Solve 2*x**4/7 - 7156*x**3/7 + 6422466*x**2/7 - 38313272*x/7 + 31897960/7 = 0.
1, 5, 1786
Factor -4*t**2 + 1124*t - 62320.
-4*(t - 205)*(t - 76)
Factor -x**3 - 36587*x**2.
-x**2*(x + 36587)
Factor 3*t**2/2 + 459*t/2 - 8235.
3*(t - 30)*(t + 183)/2
Suppose -5*i**4 + 772990*i**3 - 29876449965*i**2 + 59747489100*i + 89624712060 = 0. What is i?
-1, 3, 77298
Find w such that -4*w**2 - 1200*w - 13824 = 0.
-288, -12
Factor -2*l**3 - 40*l**2 - 26*l + 228.
-2*(l - 2)*(l + 3)*(l + 19)
Factor 2*c**3/15 + 3524*c**2/5 + 2114*c/3.
2*c*(c + 1)*(c + 5285)/15
Solve -5*i**2 - 1030*i - 20240 = 0 for i.
-184, -22
Suppose