or 3*r**2 - 776562*r + 50254044987.
3*(r - 129427)**2
Factor f**2/3 + 6389*f/3 - 269204.
(f - 124)*(f + 6513)/3
Determine g, given that -2*g**2 + 3534*g = 0.
0, 1767
Determine g, given that -4*g**4/5 + 21376*g**3/5 + 192648*g**2/5 + 321152*g/5 + 149884/5 = 0.
-7, -1, 5353
Factor 3*r**2 - 4219092*r + 1483394775372.
3*(r - 703182)**2
Factor 2*f**5 - 144*f**4 + 282*f**3 - 140*f**2.
2*f**2*(f - 70)*(f - 1)**2
Factor 9*c**2/4 + 219*c/4 + 294.
3*(c + 8)*(3*c + 49)/4
Solve a**5/5 + 8*a**4/5 - 89*a**3/5 - 28*a**2/5 + 628*a/5 + 112 = 0.
-14, -2, -1, 4, 5
Determine z so that 19*z**4/4 + 333*z**3/4 - 1435*z**2/4 - 993*z/4 + 189 = 0.
-21, -1, 9/19, 4
Solve -2*d**3/7 - 31576*d**2/7 + 252706*d/7 - 473880/7 = 0 for d.
-15796, 3, 5
Solve -n**4 + 3139*n**3 - 65517*n**2 + 121621*n - 59242 = 0 for n.
1, 19, 3118
Suppose -42*o**3 + 2355*o**2 + 21336*o - 1536 = 0. Calculate o.
-8, 1/14, 64
Find x such that x**3/3 - 239*x**2/3 - 22949*x/3 - 22223 = 0.
-71, -3, 313
Solve -2*o**4 + 222*o**3 + 6776*o**2 + 3840*o - 78336 = 0 for o.
-24, -4, 3, 136
Factor -3*n**2 - 168804*n + 168807.
-3*(n - 1)*(n + 56269)
Let -t**3/5 + 178*t**2 - 3544*t/5 = 0. Calculate t.
0, 4, 886
Suppose -w**3/7 - 78719*w**2/7 + 78720*w/7 = 0. What is w?
-78720, 0, 1
Factor -o**2/3 + 73*o - 218/3.
-(o - 218)*(o - 1)/3
Suppose 2*u**4 + 65972*u**3 + 725406120*u**2 + 2659096989900*u + 2658371649750 = 0. What is u?
-10995, -1
Suppose -33*m**5 - 7719*m**4/4 - 5409*m**3/2 + 17205*m**2/4 + 3912*m - 1197 = 0. Calculate m.
-57, -2, -1, 1/4, 14/11
Factor -f**4 + 465*f**3 - 73416*f**2 + 4135616*f - 31606272.
-(f - 152)**3*(f - 9)
Solve v**4/3 + 14*v**3/3 + 11*v**2/3 - 266*v/3 + 80 = 0 for v.
-10, -8, 1, 3
Factor 2*y**3 - 78*y**2 - 8210*y - 114114.
2*(y - 91)*(y + 19)*(y + 33)
Factor -4*d**2 - 277748*d.
-4*d*(d + 69437)
Determine g so that 5*g**3 + 155*g**2 - 1910*g - 4400 = 0.
-40, -2, 11
Factor -20*z**2 - 2011275*z + 502820.
-5*(z + 100564)*(4*z - 1)
Factor -5*m**2 - 797440*m + 797445.
-5*(m - 1)*(m + 159489)
Factor w**2/2 - 14032*w - 140345/2.
(w - 28069)*(w + 5)/2
Factor -m**3/2 + 221*m**2/2 + 345668*m + 88691240.
-(m - 1045)*(m + 412)**2/2
What is y in 36*y**4 + 1380*y**3 - 21464*y**2 + 89344*y - 104448 = 0?
-51, 2, 16/3
Suppose 4*p**5 - 8*p**4 - 956*p**3 + 960*p**2 = 0. What is p?
-15, 0, 1, 16
Find u such that 1695*u**3 + 23718*u**2 + 82887*u - 588 = 0.
-7, 4/565
Factor -b**3 - 130*b**2 - 4511*b - 25550.
-(b + 7)*(b + 50)*(b + 73)
Determine x, given that -5*x**4 - 28895*x**3 - 41904570*x**2 - 457748480*x - 415872800 = 0.
-2884, -10, -1
Solve a**4/2 + 18883*a**3/2 + 89113587*a**2/2 - 267586291*a/2 - 178340498 = 0.
-9443, -1, 4
Suppose -j**2/6 + 36404*j/3 - 662625608/3 = 0. Calculate j.
36404
Determine s so that -4*s**2 + 6476*s = 0.
0, 1619
Factor 5*s**3 + 552195*s**2 + 15245689800*s - 15246242000.
5*(s - 1)*(s + 55220)**2
Suppose 4*n**4 - 1857608*n**3 + 287558337600*n**2 - 14837914366142392*n - 14838201926337604 = 0. Calculate n.
-1, 154801
Factor 2*v**4/5 - 1662*v**3/5 + 295668*v**2/5.
2*v**2*(v - 573)*(v - 258)/5
What is j in 5*j**3 + 330*j**2 + 6720*j + 39200 = 0?
-28, -10
Let -39*u**4 + 589*u**3/5 - 8*u**2/5 - 12*u/5 = 0. Calculate u.
-2/15, 0, 2/13, 3
Determine f so that 3*f**4/4 + 297*f**3/4 + 1107*f**2/4 - 3117*f/4 + 855/2 = 0.
-95, -6, 1
What is t in -84*t**4 - 107872*t**3/3 + 209620*t**2/3 - 94616*t/3 - 6880/3 = 0?
-430, -4/63, 1
Factor 5*x**2/4 + 25960*x - 103845/4.
5*(x - 1)*(x + 20769)/4
Factor 5*t**2/4 + 15055*t/2 - 30115/4.
5*(t - 1)*(t + 6023)/4
Find f such that -4*f**5/5 - 44*f**4/5 - 12*f**3/5 + 108*f**2 = 0.
-9, -5, 0, 3
Find r, given that -2*r**3/17 - 15454*r**2/17 + 18*r/17 + 139086/17 = 0.
-7727, -3, 3
What is t in -4*t**4 + 436*t**3 - 5368*t**2 - 389136*t - 383328 = 0?
-22, -1, 66
Determine c so that -38*c**3/3 + 28362*c**2 - 348676*c/3 + 11920 = 0.
2/19, 4, 2235
Factor 2*x**3/9 - 25096*x**2/9.
2*x**2*(x - 12548)/9
Factor -3*l**3/4 + 20157*l**2/4 - 33788061*l/4 - 237505149/4.
-3*(l - 3363)**2*(l + 7)/4
Find u such that -u**4/2 - 903*u**3/2 + 2274*u**2 + 3626*u - 5448 = 0.
-908, -2, 1, 6
Factor -93*c**2/7 - 5178*c/7.
-3*c*(31*c + 1726)/7
Factor -m**3/5 - 207281*m**2/5 - 10741042312*m/5 + 32224992492/5.
-(m - 3)*(m + 103642)**2/5
Suppose 3*a**3/2 - 629*a**2/3 + 5795*a/6 + 225 = 0. What is a?
-2/9, 5, 135
Find x, given that 4425*x**5/2 + 13281*x**4/2 - 464607*x**3/2 + 1437495*x**2/2 + 975*x = 0.
-13, -2/1475, 0, 5
Solve -b**5/2 - 121*b**4/2 - 58*b**3 + 242*b**2 + 240*b = 0.
-120, -2, -1, 0, 2
Let -5*r**2 + 3165*r + 12740 = 0. Calculate r.
-4, 637
Find t, given that 2*t**2 - 292608*t + 10702430208 = 0.
73152
Let -46*s**5 + 68*s**4 + 232*s**3 + 4*s**2 - 186*s - 72 = 0. What is s?
-1, -12/23, 1, 3
Find v such that v**4/2 + 443*v**3/2 - 3331*v**2/2 - 81263*v/2 + 42075 = 0.
-450, -11, 1, 17
Find k such that 3*k**3/2 - 122379*k**2/2 + 624056412*k - 623995224 = 0.
1, 20396
Factor x**2/5 - 1876*x/5 - 181056/5.
(x - 1968)*(x + 92)/5
Determine u so that 5*u**4 - 15*u**3 - 4790*u**2 - 39720*u - 60480 = 0.
-24, -7, -2, 36
Factor 5*g**2/3 - 3960*g + 23700.
5*(g - 2370)*(g - 6)/3
Let -2*n**2 - 73168*n = 0. Calculate n.
-36584, 0
Let 21*w**4/8 + 39*w**3/2 - 633*w**2/2 + 678*w - 288 = 0. Calculate w.
-16, 4/7, 2, 6
Let 2*y**2/7 - 2322*y/7 + 4636/7 = 0. What is y?
2, 1159
Let -p**2 - 361*p - 17080 = 0. What is p?
-305, -56
Find r, given that -2*r**4/7 - 11642*r**3/7 - 3229266*r**2 - 2095775906*r - 8331541736 = 0.
-1939, -4
Let -35*s**3 + 10*s**2 + 7875*s - 2250 = 0. What is s?
-15, 2/7, 15
Factor 5*g**2 - 15285*g - 15290.
5*(g - 3058)*(g + 1)
Factor -5*l**3 + 32115*l**2 - 64215*l + 32105.
-5*(l - 6421)*(l - 1)**2
Factor -4*g**4 - 1344*g**3 - 58368*g**2 - 901120*g - 4718592.
-4*(g + 16)**3*(g + 288)
Suppose -2*j**3/5 - 2102*j**2/5 - 65278*j/5 - 63178/5 = 0. What is j?
-1019, -31, -1
Find k, given that -5*k**3 - 4535*k**2 + 13790*k + 127400 = 0.
-910, -4, 7
Factor -o**2 + 32146*o + 32147.
-(o - 32147)*(o + 1)
Solve -1411*r**4/5 + 1408*r**3/5 + 1414*r**2/5 - 1408*r/5 - 3/5 = 0 for r.
-1, -3/1411, 1
Determine w so that w**4/4 + 215*w**3/2 + 16209*w**2/4 - 8428*w + 4268 = 0.
-388, -44, 1
Suppose m**2/4 - 233557*m/4 - 116779/2 = 0. What is m?
-1, 233558
Suppose 2*k**3 - 142*k**2 + 1320*k = 0. What is k?
0, 11, 60
Factor 2*t**3/13 - 382*t**2/13 - 22944*t/13.
2*t*(t - 239)*(t + 48)/13
Suppose 3*d**4 - 14991*d**3 + 59931*d**2 - 74901*d + 29958 = 0. What is d?
1, 2, 4993
Determine s so that -2*s**2/5 + 8216*s/3 + 13694/15 = 0.
-1/3, 6847
Suppose 4*l**5/7 + 10424*l**4/7 - 20956*l**3/7 - 239840*l**2/7 + 250944*l/7 + 1502208/7 = 0. What is l?
-2608, -3, 4
Find u, given that -u**5/4 - 195*u**4/4 - 8975*u**3/4 + 54875*u**2/4 + 56250*u - 312500 = 0.
-100, -5, 5
Determine o, given that 2*o**4 - 222*o**3 + 3712*o**2 - 6552*o = 0.
0, 2, 18, 91
Factor -3*p**2/5 - 32271*p/5 - 740646/5.
-3*(p + 23)*(p + 10734)/5
Factor -4*v**2 - 724*v - 4872.
-4*(v + 7)*(v + 174)
Let -u**5 - 431*u**4 + 1751*u**3 + 4791*u**2 + 2610*u = 0. What is u?
-435, -1, 0, 6
Suppose -5*t**4/6 - 1951*t**3/6 - 190511*t**2/6 - 12155*t/2 + 25350 = 0. Calculate t.
-195, -1, 4/5
Factor -4*d**3 + 115920*d**2 + 463728*d + 463744.
-4*(d - 28984)*(d + 2)**2
Let 2*y**4/11 + 26*y**3/11 - 272*y**2/11 - 1976*y/11 + 13440/11 = 0. Calculate y.
-16, -10, 6, 7
Factor 2*d**4 + 522*d**3 + 43014*d**2 + 1140206*d.
2*d*(d + 67)**2*(d + 127)
Factor -1369*t**4 + 220450218*t**3 - 8874792525469*t**2 + 959435097420*t - 25930660900.
-(t - 80515)**2*(37*t - 2)**2
Let -15*k**4/4 - 2433*k**3/2 - 101286*k**2 - 424320*k - 153600 = 0. Calculate k.
-160, -4, -2/5
What is w in -2*w**3 - 4114*w**2 - 2261462*w - 147312150 = 0?
-991, -75
Factor 172*h**3/5 + 1762*h**2/5 + 944*h + 210.
2*(h + 5)**2*(86*h + 21)/5
Factor 27*g**2/2 + 17967*g - 3993/2.
3*(g + 1331)*(9*g - 1)/2
Solve -2*s**5/9 - 662*s**4/9 - 6390*s**3 - 425530*s**2/9 + 3263792*s/9 - 1451576/3 = 0 for s.
-161, -14, 2, 3
Find q, given that 5*q**2/4 - 2035*q + 8135/4 = 0.
1, 1627
Find i, given that -3*i**2 - 2877*i - 8604 = 0.
-956, -3
Suppose 3*o**5 + 297*o**4 + 6894*o**3 + 48948*o**2 + 122328*o + 99360 = 0. What is o?
-69, -20, -6, -2
Factor 12*w**4 - 43592*w**3 + 52780224*w**2 - 21293884920*w - 7103827724.
4*(w - 1211)**3*(3*w + 1)
Factor 5*q**3 - 7390*q**2 + 7385*q.
5*q*(q - 1477)*(q - 1)
Factor 10*s**2 + 23574*s + 9428.
2*(s