ulate x.
-4785, -11
Factor p**2 + 496*p - 5060.
(p - 10)*(p + 506)
Solve 2*k**3/3 + 126490*k**2/3 + 505918*k/3 - 632410/3 = 0.
-63241, -5, 1
Suppose d**4 + 14*d**3 + 69*d**2 + 144*d + 108 = 0. Calculate d.
-6, -3, -2
Let a**5/2 - 117*a**4 + 11917*a**3/2 + 106020*a**2 + 99944*a = 0. Calculate a.
-13, -1, 0, 124
Factor 2907*i**3 - 110456*i**2 + 1049047*i + 3610.
(i - 19)**2*(2907*i + 10)
Determine l, given that 2*l**4/3 + 1792*l**3/3 + 1192*l**2 = 0.
-894, -2, 0
Let -4*b**3 + 1764*b**2 - 218940*b + 5211100 = 0. What is b?
31, 205
Solve -3*z**3/7 + 15*z**2 + 711*z/7 + 1107/7 = 0 for z.
-3, 41
Let -a**4/6 - 13*a**3/2 - 305*a**2/6 + 301*a/2 + 195 = 0. What is a?
-26, -15, -1, 3
Find t, given that -2*t**3/13 + 192*t**2/13 - 3712*t/13 + 18432/13 = 0.
8, 16, 72
Find p such that p**2 - 2996*p - 2997 = 0.
-1, 2997
Determine k, given that -2*k**3 - 590*k**2 - 8488*k - 24640 = 0.
-280, -11, -4
Solve 3*b**3 - 44673*b**2 + 166284072*b + 166328748 = 0.
-1, 7446
Factor -3*s**3 + 1218*s**2 - 121155*s - 504300.
-3*(s - 205)**2*(s + 4)
What is p in 3*p**5 + 18219*p**4 + 27688311*p**3 + 82937445*p**2 + 55267350*p = 0?
-3035, -2, -1, 0
Factor 2*s**2/11 + 1066*s/11 + 31124/11.
2*(s + 31)*(s + 502)/11
Suppose -83*p**3/3 + 1459*p**2/3 - 6626*p/3 + 1120 = 0. Calculate p.
48/83, 7, 10
Let 20*n**2 + 2378*n - 2640 = 0. Calculate n.
-120, 11/10
Let -10*c**3 + 154*c**2 + 96*c = 0. What is c?
-3/5, 0, 16
Factor p**4/3 + 506*p**3/3 - 5663*p**2/3 + 4136*p.
p*(p - 8)*(p - 3)*(p + 517)/3
Suppose 5*s**4 - 17410*s**3 - 17420*s**2 + 17410*s + 17415 = 0. What is s?
-1, 1, 3483
Factor w**5/3 + 584*w**4/3 - 195*w**3.
w**3*(w - 1)*(w + 585)/3
Determine o, given that 1587*o**2 - 6346*o - 8 = 0.
-2/1587, 4
Determine r, given that -r**3 - 47793*r**2 = 0.
-47793, 0
Factor 20*k**5 - 1312*k**4 + 780*k**3.
4*k**3*(k - 65)*(5*k - 3)
Factor 5*g**2 + 55370*g + 153291845.
5*(g + 5537)**2
Factor 4*h**4 + 204*h**3 - 5136*h**2 - 273856*h + 278784.
4*(h - 36)*(h - 1)*(h + 44)**2
Suppose -3*u**2/4 - 4377*u/4 + 9909 = 0. Calculate u.
-1468, 9
Find x, given that 2*x**4 + 392*x**3 - 79846*x**2 + 3392676*x - 26354160 = 0.
-332, 10, 63
Determine z, given that -3*z**3 - 5775*z**2 + 34743*z - 28965 = 0.
-1931, 1, 5
Suppose 3*s**5 + 6*s**4 - 504*s**3 - 1014*s**2 - 507*s = 0. Calculate s.
-13, -1, 0, 13
Factor -4*u**2 + 14164*u - 56592.
-4*(u - 3537)*(u - 4)
Find h such that -h**2/2 + 65*h/2 - 375 = 0.
15, 50
Solve -4*a**3 - 1300*a**2 + 13336*a - 21440 = 0.
-335, 2, 8
Factor -2*f**3 + 184*f**2 - 1154*f - 3060.
-2*(f - 85)*(f - 9)*(f + 2)
Determine l, given that 2*l**4/13 - 64*l**3/13 - 534*l**2/13 + 5716*l/13 + 13024/13 = 0.
-11, -2, 8, 37
Determine w so that 5*w**3 + 2385*w**2 - 197025*w - 146819125 = 0.
-355, 233
Factor 3*w**2/5 - 1794*w/5 - 7224/5.
3*(w - 602)*(w + 4)/5
Determine w so that -w**2/6 - 7916*w + 95000/3 = 0.
-47500, 4
Factor 2*d**3 + 15732*d**2 - 31478*d - 47208.
2*(d - 3)*(d + 1)*(d + 7868)
Find k, given that -2*k**4/11 + 76*k**3/11 + 64584*k**2 + 217490832*k/11 + 18963097920/11 = 0.
-234, 740
Factor -2*z**2/3 + 89402*z/3.
-2*z*(z - 44701)/3
What is d in -d**5 + 776*d**4 - 48181*d**3 + 945566*d**2 - 5449216*d + 9553760 = 0?
4, 29, 710
Factor 5*w**2 - 1275360*w + 81327156480.
5*(w - 127536)**2
Suppose -6*n**4/5 + 107276*n**3/5 + 14304*n**2 = 0. What is n?
-2/3, 0, 17880
Solve 2*h**5/5 - 28*h**4 - 144*h**3/5 + 28*h**2 + 142*h/5 = 0 for h.
-1, 0, 1, 71
What is u in -4*u**5 + 440*u**4 - 1648*u**3 - 5344*u**2 + 27392*u - 27136 = 0?
-4, 2, 4, 106
Suppose -2*a**4/9 - 11180*a**3/9 - 5259758*a**2/3 - 48048264*a + 103119480 = 0. Calculate a.
-2781, -30, 2
Solve -72*d**4 - 238152*d**3 + 556030*d**2 - 165496*d + 13240 = 0.
-3310, 1/6, 2
Factor -4*v**4 + 180*v**3 - 1664*v**2.
-4*v**2*(v - 32)*(v - 13)
Determine k so that 2*k**4 + 682*k**3 + 54256*k**2 - 664576*k + 1486848 = 0.
-176, 3, 8
Suppose -2*p**4/5 + 1524*p**3 - 30458*p**2/5 + 38064*p/5 - 15224/5 = 0. What is p?
1, 2, 3806
Factor -4*c**2 + 2132*c - 39064.
-4*(c - 514)*(c - 19)
Solve -267*t**2 + 12014*t/3 + 5 = 0.
-1/801, 15
Let -2*j**5/11 + 29816*j**4/11 - 89432*j**3/11 + 29804*j**2/11 + 89434*j/11 - 5420 = 0. Calculate j.
-1, 1, 2, 14905
Factor 2*b**3 + 478*b**2 + 28158*b + 489762.
2*(b + 39)**2*(b + 161)
Solve -10*b**5 + 23534*b**4 + 226888*b**3 - 94520*b**2 = 0.
-10, 0, 2/5, 2363
Solve 14*t**5/3 + 1012*t**4/3 - 17450*t**3/3 + 43232*t**2/3 + 63064*t + 16704 = 0 for t.
-87, -2, -2/7, 8, 9
Solve 56*q**5 - 996*q**4 + 4208*q**3 + 1956*q**2 - 4264*q - 960 = 0 for q.
-1, -3/14, 1, 8, 10
Suppose -12*d**5 + 4492*d**4 - 584120*d**3 + 29082648*d**2 - 353401916*d + 114590812 = 0. Calculate d.
1/3, 17, 119
Factor 3*w**2 + 52641*w - 1159554.
3*(w - 22)*(w + 17569)
Solve -o**3 - 137*o**2 - 270*o = 0 for o.
-135, -2, 0
Determine q so that 4*q**2/3 - 208*q + 620/3 = 0.
1, 155
What is a in -15*a**5 - 1212*a**4 + 6708*a**3 - 78*a**2 - 6693*a + 1290 = 0?
-86, -1, 1/5, 1, 5
Let -2*r**4 + 99368*r**3 - 1645500924*r**2 + 9079323942024*r + 45437769655470 = 0. What is r?
-5, 16563
Let -y**3/3 + 9527*y**2/3 - 218614*y/3 + 69696 = 0. Calculate y.
1, 22, 9504
What is h in h**3 + 147*h**2 + 2111*h + 1965 = 0?
-131, -15, -1
Determine d so that -2*d**2/5 - 30792*d - 592592040 = 0.
-38490
Solve r**5/11 - 174*r**4/11 - 97*r**3 - 2328*r**2/11 - 196*r - 720/11 = 0 for r.
-2, -1, 180
Factor -5*v**2/4 + 17355*v/2 + 34715/4.
-5*(v - 6943)*(v + 1)/4
Factor 5*l**2/4 + 2223875*l/2 + 989124003125/4.
5*(l + 444775)**2/4
Find d such that -5*d**4/6 - 415*d**3/3 - 36335*d**2/6 - 26145*d + 32340 = 0.
-84, -77, -6, 1
Suppose 3*q**4/4 + 57*q**3 + 1881*q**2/4 + 1221*q + 1005 = 0. What is q?
-67, -5, -2
Factor -r**3/2 - 411*r**2/2 - 1012*r + 1218.
-(r - 1)*(r + 6)*(r + 406)/2
Factor 17*i**2 + 910*i + 1352.
(i + 52)*(17*i + 26)
Factor -4*z**3 + 4728*z**2 + 287916*z - 292640.
-4*(z - 1240)*(z - 1)*(z + 59)
Determine s so that 2*s**4/3 + 94*s**3 + 13330*s**2/3 + 71850*s + 67500 = 0.
-50, -45, -1
Find c, given that -5*c**3/2 - 188275*c**2 - 7089495125*c/2 = 0.
-37655, 0
Factor -36*b**4 + 103916*b**3 - 75018684*b**2 + 41644980*b.
-4*b*(b - 1443)**2*(9*b - 5)
Factor 2*r**3/3 + 4*r**2/3 - 3080*r/3 + 44528/3.
2*(r - 22)**2*(r + 46)/3
Factor -3*m**4 + 237*m**3 + 732*m**2 + 492*m.
-3*m*(m - 82)*(m + 1)*(m + 2)
Factor 2*r**2/9 - 22*r + 324.
2*(r - 81)*(r - 18)/9
Determine k so that -664*k**2/17 + 658*k/17 + 6/17 = 0.
-3/332, 1
Find l, given that -3*l**2 + 432*l - 14352 = 0.
52, 92
Determine z, given that -z**2/4 - 3201*z/2 + 6403/4 = 0.
-6403, 1
Factor 5*u**2 + 1560*u - 322340.
5*(u - 142)*(u + 454)
Suppose -f**2 - 40*f = 0. What is f?
-40, 0
Factor w**3 + 177*w**2 + 7547*w - 7725.
(w - 1)*(w + 75)*(w + 103)
Determine a so that -3*a**3/4 - 2766*a**2 - 2550252*a = 0.
-1844, 0
What is r in 2*r**3/5 + 346*r**2/5 - 72*r - 2088/5 = 0?
-174, -2, 3
Factor 61*z**4 + 230*z**3 - 361*z**2 + 70*z.
z*(z - 1)*(z + 5)*(61*z - 14)
Let -4*b**4/7 - 2172*b**3/7 - 55848*b**2 - 3274544*b + 10334688 = 0. What is b?
-182, 3
Find p such that -2*p**5/7 - 982*p**4/7 + 5332*p**3/7 + 186168*p**2/7 + 822672*p/7 + 642816/7 = 0.
-496, -6, -1, 18
Factor -2*x**4/15 + 1474*x**3/15 + 6216*x**2 + 379360*x/3 + 2550400/3.
-2*(x - 797)*(x + 20)**3/15
Find h such that -2*h**4/13 - 344*h**3/13 - 8010*h**2/13 + 51308*h + 2774672/13 = 0.
-101, -4, 34
Suppose -4*o**5 - 36*o**4 + 24*o**3 + 688*o**2 + 480*o - 1152 = 0. Calculate o.
-6, -2, 1, 4
Let -a**3/2 + 1177*a**2/2 - 52555*a/2 + 598299/2 = 0. Calculate a.
23, 1131
Suppose -3*t**3/5 - 642*t**2/5 + 6087*t/5 + 14718/5 = 0. What is t?
-223, -2, 11
Factor -33*m**2/7 - 181*m/7 - 28.
-(m + 4)*(33*m + 49)/7
What is i in 206*i**5/9 + 1240*i**4/9 - 800*i**3/9 - 4960*i**2/9 - 32*i/3 = 0?
-6, -2, -2/103, 0, 2
Factor 5*n**2 - 203140*n + 2063292980.
5*(n - 20314)**2
What is n in -3*n**3 + 2337*n**2 - 30000*n + 96516 = 0?
6, 7, 766
Factor -5*a**2 - 254800*a - 254795.
-5*(a + 1)*(a + 50959)
Find m, given that -75412*m**4 - 829534*m**3 - 1809910*m**2 + 2714784*m + 72 = 0.
-6, -1/37706, 1
Determine a so that -a**2/4 - 3561*a/2 + 14260 = 0.
-7130, 8
Factor 4*o**2 + 63724*o - 254960.
4*(o - 4)*(o + 15935)
Factor -109515*v**2 - 438054*v + 24.
-3*(v + 4)*(36505*v - 2)
Solve -5*z**5 - 190*z**4 - 245*z**3 + 15260*z**2 + 15100*z - 29920 = 0 for z.
-34, -11, -2, 1, 8
What is s in 12879*s**5 - 30033*s**4 - 25800*s**3 -