(g - 225906)**2/8
Factor -c**2/2 - 5987*c/2 - 14955.
-(c + 5)*(c + 5982)/2
Factor 6*u**2/11 + 9786*u/11 + 1513404/11.
6*(u + 173)*(u + 1458)/11
Determine h so that -4*h**2 - 40067*h + 10017 = 0.
-10017, 1/4
Determine w, given that -w**4/4 - 5153*w**3/2 - 41205*w**2/4 + 7731*w + 46359 = 0.
-10302, -3, 2
Factor y**3 - 2461*y**2 - 4934*y + 19704.
(y - 2463)*(y - 2)*(y + 4)
Determine s so that 3*s**2 + 160398*s + 2143959867 = 0.
-26733
Factor -2*b**2 - 1630680*b - 332389657800.
-2*(b + 407670)**2
Factor 2*c**4 - 2972*c**3 + 1110008*c**2 - 4377828*c - 5490810.
2*(c - 741)**2*(c - 5)*(c + 1)
Suppose -8*w**5/15 + 298*w**4 + 4726*w**3/3 + 2180*w**2 + 2256*w/5 = 0. Calculate w.
-3, -2, -1/4, 0, 564
Factor g**3/6 - 13*g**2/2 - 10*g + 400/3.
(g - 40)*(g - 4)*(g + 5)/6
Factor 2*t**3/15 + 2066*t**2/15 + 16432*t/15 + 6560/3.
2*(t + 4)**2*(t + 1025)/15
Factor -5*y**2 + 560*y + 9525.
-5*(y - 127)*(y + 15)
Let -2*r**5/5 + 814*r**4/5 + 43906*r**3/5 + 806258*r**2/5 + 6178208*r/5 + 16905344/5 = 0. Calculate r.
-17, -8, 457
Suppose -d**5 - 424*d**4 - 36463*d**3 + 1847660*d**2 - 6580300*d - 8464000 = 0. What is d?
-230, -1, 5, 32
Solve 4*z**5/13 + 5074*z**4/13 + 102690*z**3/13 + 441110*z**2/13 - 850894*z/13 + 23232 = 0 for z.
-1248, -11, 1/2, 1
Factor 5*y**2 - 104030*y + 727965.
5*(y - 20799)*(y - 7)
Determine u so that u**4/3 + 778*u**3/3 + 1541*u**2 - 6962*u/3 - 10808/3 = 0.
-772, -7, -1, 2
Factor 2*r**2 - 28742*r - 57492.
2*(r - 14373)*(r + 2)
Determine b so that -b**5 - 2241*b**4 - 22323*b**3 - 28943*b**2 + 133824*b - 80316 = 0.
-2231, -6, 1
Factor -v**4/3 - 49*v**3/3 + 1466*v**2/3 - 2272*v.
-v*(v - 16)*(v - 6)*(v + 71)/3
Factor 2*c**2 + 305894*c + 305892.
2*(c + 1)*(c + 152946)
Find k, given that 5*k**3/6 - 4000793*k**2/6 - 2800559*k/3 - 266720 = 0.
-1, -2/5, 800160
Suppose 4*y**3 + 19368*y**2 + 38708*y - 58080 = 0. What is y?
-4840, -3, 1
Let 1134*g**5 + 6243*g**4 + 9651*g**3 + 2262*g**2 - 2280*g = 0. Calculate g.
-20/7, -2, -1, 0, 19/54
Solve -s**3/2 + 1985*s**2/2 + 15000*s = 0.
-15, 0, 2000
Factor c**3/3 + 2536*c**2/3 + 17713*c/3 + 8430.
(c + 2)*(c + 5)*(c + 2529)/3
Find x such that 3*x**4 + 870*x**3 + 58575*x**2 - 652500*x + 1687500 = 0.
-150, 5
Solve y**3/3 - 176*y**2 - 3739*y/3 - 1070 = 0.
-6, -1, 535
Determine r so that -3*r**3 - 171*r**2 - 2661*r - 6525 = 0.
-29, -25, -3
Suppose -2*m**4/9 + 36*m**3 - 13120*m**2/9 - 36*m + 1458 = 0. Calculate m.
-1, 1, 81
Factor -3*g**4/5 + 1794*g**3/5 - 398403*g**2/5 + 7785960*g - 282534000.
-3*(g - 175)**2*(g - 124)**2/5
Suppose 2*f**5 + 428*f**4 + 3334*f**3 + 7852*f**2 + 4944*f = 0. Calculate f.
-206, -4, -3, -1, 0
Let 3*x**4/4 - 33*x**3/4 - 111*x**2/2 - 72*x = 0. Calculate x.
-3, -2, 0, 16
What is j in 5*j**4 - 205*j**3 + 1560*j**2 + 3060*j - 10800 = 0?
-3, 2, 12, 30
Let -r**3/4 - 1143*r**2/4 + 2305*r/4 + 17175/4 = 0. What is r?
-1145, -3, 5
Find t such that 4*t**3/5 + 2216*t**2/5 - 17936*t/5 + 26976/5 = 0.
-562, 2, 6
Factor -j**2/5 + 12308*j/5 + 36933/5.
-(j - 12311)*(j + 3)/5
Let 8*i**5 + 142*i**4/3 + 203*i**3/3 + 24*i**2 - 17*i/3 - 4/3 = 0. Calculate i.
-4, -1, -1/6, 1/4
Let 5*f**3 + 775*f**2 + 8010*f + 12960 = 0. What is f?
-144, -9, -2
Factor -5*r**3 + 9085*r**2 + 5*r - 9085.
-5*(r - 1817)*(r - 1)*(r + 1)
Find x, given that 3*x**2 - 148806*x + 1845268803 = 0.
24801
Factor z**2/5 - 126*z + 46784/5.
(z - 544)*(z - 86)/5
Solve -3*o**2 - 666*o - 20088 = 0 for o.
-186, -36
Factor -3*a**3/5 + 1011*a**2/5 + 1032*a/5 - 6084/5.
-3*(a - 338)*(a - 2)*(a + 3)/5
Factor y**2 - 33626*y + 67248.
(y - 33624)*(y - 2)
Find i such that -2*i**3/7 + 162*i**2 + 1136*i/7 = 0.
-1, 0, 568
Factor -2*c**2 - 12982*c + 38964.
-2*(c - 3)*(c + 6494)
Suppose -2*m**4 - 210*m**3 + 272*m**2 + 6216*m - 15264 = 0. Calculate m.
-106, -6, 3, 4
Factor 5*y**4 + 4460*y**3 - 4465*y**2.
5*y**2*(y - 1)*(y + 893)
Factor -3*x**3/5 - 159*x**2/5 + 432*x + 30132/5.
-3*(x - 18)*(x + 9)*(x + 62)/5
Factor d**5/5 + 93*d**4/5 - 682*d**3/5 + 356*d**2 - 1992*d/5 + 160.
(d - 2)**3*(d - 1)*(d + 100)/5
Factor -2*z**3 - 406*z**2 - 10032*z + 10440.
-2*(z - 1)*(z + 30)*(z + 174)
Let -2*a**3 + 1892*a**2 - 571520*a + 53716800 = 0. Calculate a.
186, 380
Factor 2*m**3/3 + 430*m**2 - 17108*m/3.
2*m*(m - 13)*(m + 658)/3
Factor -5*h**3 + 106690*h**2 - 572325005*h + 33956496300.
-5*(h - 10639)**2*(h - 60)
What is b in -2*b**5 + 2346*b**4 - 2324*b**3 - 23424*b**2 - 18752*b = 0?
-2, -1, 0, 4, 1172
Let -a**4/6 - 92*a**3/3 - 1207*a**2/2 - 1539*a = 0. What is a?
-162, -19, -3, 0
Factor 4*l**4 + 8196*l**3.
4*l**3*(l + 2049)
Factor 25*a**4 - 6160*a**3 + 26661*a**2 - 9926*a + 968.
(a - 242)*(a - 4)*(5*a - 1)**2
Solve -w**2/3 - 3244*w/3 = 0.
-3244, 0
Factor w**3/2 - 369*w**2 - 2227*w/2 + 1482.
(w - 741)*(w - 1)*(w + 4)/2
Solve -12*g**3 - 16584*g**2 - 5586207*g + 99817251 = 0.
-1399/2, 17
Determine c so that 200*c**5/3 - 466100*c**4/9 - 1011896*c**3/9 - 208736*c**2/3 - 84128*c/9 - 3116/9 = 0.
-1, -1/10, -1/15, 779
Suppose -948*z**4 - 153560*z**3 - 6367968*z**2 - 12026880*z + 204800 = 0. Calculate z.
-80, -2, 4/237
Let -v**2 - 96*v - 455 = 0. What is v?
-91, -5
Solve 651*n**4 - 1530*n**3 + 468*n**2 - 24*n = 0 for n.
0, 2/31, 2/7, 2
Find q, given that -q**5 - 26*q**4 + 151*q**3 - 124*q**2 = 0.
-31, 0, 1, 4
Suppose -4*o**5 - 2232*o**4 - 317916*o**3 - 1808136*o**2 + 2861568*o + 16454016 = 0. What is o?
-276, -6, -3, 3
Solve p**3/5 + 38*p**2/5 + 284*p/5 - 728/5 = 0.
-26, -14, 2
Solve 2*i**2/9 + 838*i/9 - 4640/3 = 0.
-435, 16
Determine h, given that -6*h**3 - 32*h**2/3 + 1790*h/3 - 132 = 0.
-11, 2/9, 9
Solve 4*o**2/7 - 8664*o/7 + 1677860/7 = 0.
215, 1951
Factor 2*k**4 + 286*k**3 + 3216*k**2 + 9432*k.
2*k*(k + 6)**2*(k + 131)
Factor 3*s**2/5 + 37824*s/5 - 37839.
3*(s - 5)*(s + 12613)/5
Factor -3*d**3 - 474*d**2 - 14493*d - 39294.
-3*(d + 3)*(d + 37)*(d + 118)
What is h in 5*h**3 + 116795*h**2 + 681995200*h - 682112000 = 0?
-11680, 1
Suppose 3*p**3 - 94584*p**2 + 745416495*p + 1491211350 = 0. Calculate p.
-2, 15765
Find d such that 4*d**2/7 - 4972*d/7 + 4968/7 = 0.
1, 1242
Determine j, given that -99*j**2 - 16733*j - 338 = 0.
-169, -2/99
Find d, given that -2*d**3 - 822*d**2 + 20624*d - 111360 = 0.
-435, 8, 16
Suppose -r**2 + 244*r - 14259 = 0. Calculate r.
97, 147
Determine g so that -2*g**2 - 365044*g - 1095114 = 0.
-182519, -3
Factor f**2 + 13365*f + 373436.
(f + 28)*(f + 13337)
Determine f, given that -5*f**4 - 540*f**3 + 5145*f**2 - 13960*f + 9360 = 0.
-117, 1, 4
Factor 3*j**2/4 + 117*j/2 - 5070.
3*(j - 52)*(j + 130)/4
Find f such that -2*f**2/5 + 88794*f/5 = 0.
0, 44397
What is s in 3*s**3 + 28506*s**2 + 398643*s + 1394736 = 0?
-9488, -7
Suppose -w**2/5 + 53282*w/5 - 709742881/5 = 0. Calculate w.
26641
Find j, given that -2*j**4/5 + 118*j**3 + 19502*j**2/5 - 118*j - 3900 = 0.
-30, -1, 1, 325
Suppose -20*v**5 - 1012*v**4 - 3032*v**3 + 17696*v**2 + 53632*v - 24064 = 0. What is v?
-47, -4, 2/5, 4
Factor 4755*m**3 + 9516*m**2 + 12*m.
3*m*(m + 2)*(1585*m + 2)
Factor -x**5 + 5*x**4 + 4*x**3 - 20*x**2.
-x**2*(x - 5)*(x - 2)*(x + 2)
Solve 5*d**5 + 9010*d**4 + 4076990*d**3 + 16208980*d**2 + 20223005*d + 8082010 = 0 for d.
-899, -2, -1
Solve 2*z**5/7 - 22*z**4 + 370*z**3 - 2438*z**2/7 = 0.
0, 1, 23, 53
Determine p so that 15*p**5 - 29079*p**4 - 128139*p**3 - 192297*p**2 - 116568*p - 23316 = 0.
-2, -1, -2/5, 1943
Determine k, given that -4*k**3 + 48*k**2 + 784*k + 2112 = 0.
-6, -4, 22
Factor -2*r**3 - 9314*r**2 - 55830*r - 83718.
-2*(r + 3)**2*(r + 4651)
Factor 7*p**4/4 - 33*p**3/4 - 33*p**2/2 + 80*p + 24.
(p - 4)**2*(p + 3)*(7*p + 2)/4
Let -r**4/2 - 283*r**3/2 + 1162*r**2 - 606*r - 6984 = 0. Calculate r.
-291, -2, 4, 6
Factor 25*x**3 + 834*x**2 - 544*x.
x*(x + 34)*(25*x - 16)
What is j in 5*j**3 + 14250*j**2 + 170440*j + 454080 = 0?
-2838, -8, -4
What is t in 38*t**3/7 + 1112*t**2/7 - 3520*t/7 - 6144/7 = 0?
-32, -24/19, 4
Let x**2/3 + 8488*x/3 + 33904 = 0. Calculate x.
-8476, -12
Factor -2*d**3/7 - 934*d**2/7 - 932*d/7.
-2*d*(d + 1)*(d + 466)/7
Factor -3*j**3 + 253713*j**2 - 2029560*j + 4059024.
-3*(j - 84563)*(j - 4)**2
Factor 2*o**3 + 105118*o**2 + 1381276798*o + 1381171682.
2*(o + 1)*(o + 26279)**2
Find f, given that 1225*f**2/2 + 129990*f + 6896898 = 0.
-3714/35
Determine s, given that -5*s**3 + 2000*s**2 - 110545*s + 108550 = 0.
1, 65, 334
Suppose 3*r**3/5 - 198822*r**2/5 + 3292989051*r/5 + 39