)/2
Determine l, given that 27*l**4 - 15234*l**3 + 2150532*l**2 - 477144*l = 0.
0, 2/9, 282
Solve 5*k**3 + 95*k**2 + 90*k = 0 for k.
-18, -1, 0
Factor -3*k**3 + 558*k**2 - 34596*k + 714984.
-3*(k - 62)**3
Factor -3*q**3 - 12*q**2 - 15*q - 6.
-3*(q + 1)**2*(q + 2)
Factor -3*u**2 - 12*u + 63.
-3*(u - 3)*(u + 7)
Factor -x**4/2 - 392*x**3 - 115248*x**2 - 15059072*x - 737894528.
-(x + 196)**4/2
Factor i**4/2 + 11*i**3/2.
i**3*(i + 11)/2
Factor r**4 - 153*r**3 - 1605*r**2 - 4075*r.
r*(r - 163)*(r + 5)**2
Factor -35*q**2 + 174*q + 5.
-(q - 5)*(35*q + 1)
Find l, given that -20*l**4 + 105*l**3 + 415*l**2 + 210*l - 80 = 0.
-2, -1, 1/4, 8
Factor -g**4/4 - 9*g**3/4 - 5*g**2 - 3*g.
-g*(g + 1)*(g + 2)*(g + 6)/4
Factor -4*m**4 - 52*m**3 - 48*m**2 + 1024*m + 1024.
-4*(m - 4)*(m + 1)*(m + 8)**2
Factor 4*x**3/9 + 4*x**2/3 + 8*x/9.
4*x*(x + 1)*(x + 2)/9
Find q, given that 2*q**4/13 + 18*q**3/13 - 326*q**2/13 - 18*q/13 + 324/13 = 0.
-18, -1, 1, 9
Determine n so that 2*n**4 + 228*n**3 + 6704*n**2 + 10752*n - 50176 = 0.
-56, -4, 2
Solve -6*k**3 - 23*k**2 - 14*k + 3 = 0 for k.
-3, -1, 1/6
What is v in 5*v**2 + 140*v - 145 = 0?
-29, 1
Factor -y**2 - 52*y - 676.
-(y + 26)**2
Factor 6*h**5/5 - 2*h**4 + 2*h**3/5 + 2*h**2/5.
2*h**2*(h - 1)**2*(3*h + 1)/5
Suppose l**2/2 = 0. What is l?
0
Suppose -5*l**5 + 15*l**4 + 40*l**3 - 60*l**2 - 80*l = 0. Calculate l.
-2, -1, 0, 2, 4
Solve -4*z**3 + 2424*z**2 - 489648*z + 32969632 = 0 for z.
202
Let -m**2/11 - 50*m/11 - 625/11 = 0. Calculate m.
-25
Solve 3*i**4/11 - 13*i**3/11 - 514*i**2/11 - 2172*i/11 - 1224/11 = 0 for i.
-6, -2/3, 17
Factor -z**3/2 + 3*z**2 + 135*z/2 - 486.
-(z - 9)**2*(z + 12)/2
Find o such that 3*o**2/4 - 39*o/2 + 36 = 0.
2, 24
Suppose -17*i**5/3 - 109*i**4 - 1759*i**3/3 - 591*i**2 - 108*i = 0. Calculate i.
-9, -1, -4/17, 0
Suppose 2*l**3/9 + 14*l**2/3 + 30*l + 54 = 0. Calculate l.
-9, -3
Find o such that -3*o**5 + 3*o**4 + 105*o**3 - 375*o**2 + 438*o - 168 = 0.
-7, 1, 2, 4
Factor u**5 - u**4 - 41*u**3 - 107*u**2 - 100*u - 32.
(u - 8)*(u + 1)**3*(u + 4)
Suppose -2*m**3/3 + 194*m**2/3 - 1600*m + 1536 = 0. What is m?
1, 48
Find s, given that s**2/5 + 27*s + 134/5 = 0.
-134, -1
Suppose h**2 - 387*h + 386 = 0. What is h?
1, 386
Factor 8*c**3 + 4812*c**2 + 2400*c - 2404.
4*(c + 1)*(c + 601)*(2*c - 1)
Let 28*z**5 + 68*z**4 - 60*z**3 - 260*z**2 - 208*z - 48 = 0. What is z?
-2, -1, -3/7, 2
Let a**4/5 + 78*a**3/5 - 164*a**2/5 - 312*a/5 + 128 = 0. Calculate a.
-80, -2, 2
Factor b**5 - 2*b**3 + b.
b*(b - 1)**2*(b + 1)**2
Let -2*f**2/19 - 260*f/19 - 258/19 = 0. What is f?
-129, -1
Find i such that 6*i**4 - 15*i**3 - 3*i**2 + 18*i = 0.
-1, 0, 3/2, 2
Suppose -2*x**5/5 - 72*x**4/5 + 74*x**3/5 = 0. What is x?
-37, 0, 1
Determine w, given that -3*w**2 - 1338*w - 149187 = 0.
-223
What is g in 4*g**4 - 64*g**3 + 340*g**2 - 600*g = 0?
0, 5, 6
Let -14*s**4 + 130*s**3 + 272*s**2 - 88*s = 0. What is s?
-2, 0, 2/7, 11
Find z such that 5*z**4 + 5*z**3 - 25*z**2 + 15*z = 0.
-3, 0, 1
Factor 2*z**2 - 476*z + 944.
2*(z - 236)*(z - 2)
Factor 2*h**2/5 - 58*h/5 + 84.
2*(h - 15)*(h - 14)/5
Factor n**3/3 - 217*n**2/3 + 11663*n/3 + 11881/3.
(n - 109)**2*(n + 1)/3
Suppose -4*p**5 + 208*p**4 - 2944*p**3 - 2560*p**2 + 179200*p + 512000 = 0. What is p?
-4, 20
Factor -3*q**4 + 9*q**3 + 18*q**2 - 84*q + 72.
-3*(q - 2)**3*(q + 3)
Factor -y**3/3 + 62*y**2 - 185*y/3.
-y*(y - 185)*(y - 1)/3
Determine m so that -2*m**4/3 - 4*m**3/3 + 110*m**2/3 + 400*m/3 = 0.
-5, 0, 8
Factor g**2 - 290*g + 21025.
(g - 145)**2
Suppose -16*m**3/3 + 50*m**2/3 - 38*m/3 + 4/3 = 0. Calculate m.
1/8, 1, 2
Suppose 2*y**2/9 - 217*y/9 - 109/9 = 0. Calculate y.
-1/2, 109
Factor f**3/3 + 235*f**2 + 55225*f + 12977875/3.
(f + 235)**3/3
Factor 5*x**3 + 385*x**2 + 8575*x + 42875.
5*(x + 7)*(x + 35)**2
Find y, given that -3*y**3 - 18*y**2 + 12*y + 72 = 0.
-6, -2, 2
What is i in 160*i**4/3 + 176*i**3 - 18*i**2 - 234*i - 108 = 0?
-3, -3/4, 6/5
Factor -5*z**2 + 535*z - 3030.
-5*(z - 101)*(z - 6)
Find y such that 8*y**5 - 270*y**4 - 7332*y**3 - 43144*y**2 - 44676*y - 8586 = 0.
-9, -1, -1/4, 53
Factor 2*x**2/9 + 44*x/9 + 80/3.
2*(x + 10)*(x + 12)/9
Suppose 117*l**3 - 1041*l**2 - 108*l = 0. Calculate l.
-4/39, 0, 9
Factor -y**4 + 81*y**3 - 230*y**2 - 312*y.
-y*(y - 78)*(y - 4)*(y + 1)
Factor 2*p**2/9 - 398*p/9 - 268/3.
2*(p - 201)*(p + 2)/9
Factor 2*g**4/3 + 12*g**3 - 80*g**2/3.
2*g**2*(g - 2)*(g + 20)/3
Factor -3*w**2 - 9030*w + 9033.
-3*(w - 1)*(w + 3011)
Factor i**2 + 277*i - 558.
(i - 2)*(i + 279)
Find u, given that -4*u**4 - 160*u**3 - 88*u**2 + 30240*u - 142884 = 0.
-27, 7
Suppose 2*c**4/5 - 136*c**3/5 + 3272*c**2/5 - 6528*c + 23040 = 0. What is c?
10, 24
What is q in 4*q**3/9 + 122*q**2/9 - 470*q/9 + 68/3 = 0?
-34, 1/2, 3
Factor 4*i**3 - 80*i**2 - 172*i - 88.
4*(i - 22)*(i + 1)**2
Find u, given that 4*u**2 + 5912*u + 2184484 = 0.
-739
Solve -h**3/4 - 51*h**2/4 + h/4 + 51/4 = 0 for h.
-51, -1, 1
What is a in -2*a**3 + 148*a**2 + 2*a - 148 = 0?
-1, 1, 74
Factor -2*f**3/11 - 578*f**2/11 - 1148*f/11.
-2*f*(f + 2)*(f + 287)/11
Solve 3*k**2 + 276*k - 564 = 0 for k.
-94, 2
Factor 2*g**2/17 + 1184*g/17 + 175232/17.
2*(g + 296)**2/17
Find u such that 5*u**2 - 65190*u + 212486805 = 0.
6519
Find w, given that -2*w**2/21 - 226*w/21 - 32/3 = 0.
-112, -1
Factor c**3/3 + 20*c**2 + 224*c/3.
c*(c + 4)*(c + 56)/3
Factor w**3/3 + 55*w**2/3 + 200*w - 1500.
(w - 5)*(w + 30)**2/3
What is d in -d**4/10 - 3*d**3/10 - d**2/10 + 3*d/10 + 1/5 = 0?
-2, -1, 1
Let 20*f**3 - 128*f**2 + 252*f - 144 = 0. What is f?
1, 12/5, 3
Factor -10*r**2 + 14*r - 4.
-2*(r - 1)*(5*r - 2)
Let -2*r**2 - 64*r - 224 = 0. What is r?
-28, -4
Factor -2*v**3/3 + 242*v**2/3 + 1508*v/3 + 2032/3.
-2*(v - 127)*(v + 2)*(v + 4)/3
Solve -4*k**2 - 2688*k + 5392 = 0 for k.
-674, 2
Factor g**4 - 540*g**3 - 1083*g**2 - 542*g.
g*(g - 542)*(g + 1)**2
Let -9*f**5/2 + 48*f**4 + 363*f**3/2 - 1761*f**2 - 4752*f + 3888 = 0. What is f?
-4, 2/3, 9
Factor 2*r**2/3 - 202*r/3 - 68.
2*(r - 102)*(r + 1)/3
Suppose k**4/5 + 17*k**3/5 - 4*k**2 - 36*k/5 = 0. Calculate k.
-18, -1, 0, 2
Factor 2*o**3 + 2214*o**2 + 616032*o + 1828224.
2*(o + 3)*(o + 552)**2
Determine p so that 2*p**5 + 472*p**4/3 + 102*p**3 - 472*p**2/3 - 104*p = 0.
-78, -1, -2/3, 0, 1
Factor 15*g**2 - 561*g + 222.
3*(g - 37)*(5*g - 2)
Determine h so that 3*h**2/7 - 1614*h/7 + 217083/7 = 0.
269
Factor 2*h**3/5 - 1158*h**2/5 + 223494*h/5 - 14378114/5.
2*(h - 193)**3/5
Suppose -s**3/3 + 22*s**2 - 363*s = 0. Calculate s.
0, 33
Factor -5*h**2 - 400*h - 4080.
-5*(h + 12)*(h + 68)
Factor -9*s**5/8 + 1011*s**4 - 1347*s**3/2.
-3*s**3*(s - 898)*(3*s - 2)/8
Determine o, given that o**3 + 9*o**2 + 2*o - 48 = 0.
-8, -3, 2
Solve -2*n**3 - 12*n**2 + 64 = 0 for n.
-4, 2
What is j in -j**4 - 13*j**3 - 53*j**2 - 83*j - 42 = 0?
-7, -3, -2, -1
Let -w**5 - 79*w**4 - 450*w**3 - 884*w**2 - 584*w = 0. Calculate w.
-73, -2, 0
Solve 4*v**5/9 + 4*v**4/9 - 4*v**3/3 - 4*v**2/9 + 8*v/9 = 0.
-2, -1, 0, 1
Factor 4*z**2/7 - 92*z/7 - 1872/7.
4*(z - 36)*(z + 13)/7
Factor -75*p**2/4 - 315*p/2 - 1323/4.
-3*(5*p + 21)**2/4
Factor -q**2 + 9*q.
-q*(q - 9)
Factor 5*w**4/2 - 105*w**3/2 + 300*w**2 - 250*w.
5*w*(w - 10)**2*(w - 1)/2
Suppose 3*d**2/5 + 1071*d/5 - 1074/5 = 0. What is d?
-358, 1
Let -y**3/3 + 164*y**2/3 - 2295*y + 4374 = 0. What is y?
2, 81
Find n such that -2*n**2 + 6*n + 260 = 0.
-10, 13
Solve 3*t**5 + 6*t**4 - 6*t**3 - 12*t**2 + 3*t + 6 = 0 for t.
-2, -1, 1
Let o**3/4 + 9*o**2/4 = 0. Calculate o.
-9, 0
Factor -3*a**2 - 252*a - 492.
-3*(a + 2)*(a + 82)
Factor 3*b**4 + 11322*b**3 + 33948*b**2 + 33942*b + 11313.
3*(b + 1)**3*(b + 3771)
Factor -2*l**2/7 - 10*l/7 + 100/7.
-2*(l - 5)*(l + 10)/7
Let 4*t**3 + 8*t**2 - 16*t - 32 = 0. What is t?
-2, 2
Solve -3*h**3/5 - 39*h**2/5 - 144*h/5 - 108/5 = 0 for h.
-6, -1
Factor w**3/4 + 11*w**2/2 - 25*w/4 - 23/2.
(w - 2)*(w + 1)*(w + 23)/4
Factor 2*g**4 + 488*g**3 - 492*g**2 - 488*g + 490.
2*(g - 1)**2*(g + 1)*(g + 245)
Find t such that 3*t**3/4 + 2781*t**2/2 + 2577987*t/4 = 0.
-927, 0
Factor -4*l**2/5 - 4048*l - 5120720.
-4*(l + 2530)**2/5
Let -w**2 - 1994*w - 994009 = 0. Calculate w.
-997
Determine b so that -24*b**3 + 1340*b**2 + 1592*b + 228 = 0.
-1, -1/6, 57
Let -2*i**3 - 14*i**2 + 2*i + 14 = 0. Calculate i.
-7, -1, 1
Let -3*b**3/5 - 18*b**2 - 609*b/5 - 882/5 = 0. What is b?
-21, -7, -2
Le