*5 + 54*c**4 - 826*c**3 + 2544*c**2 - 325*c - 3750 = 0?
-1, 2, 3, 25
Determine s, given that 2*s**5/5 + 4*s**4/3 - 12*s**3/5 - 176*s**2/15 - 54*s/5 - 12/5 = 0.
-3, -2, -1, -1/3, 3
Suppose 2*c**5 + 18*c**4 - 70*c**3 + 30*c**2 + 68*c - 48 = 0. Calculate c.
-12, -1, 1, 2
Suppose 4*o**4/5 + 36*o**3/5 + 12*o**2 - 20*o = 0. What is o?
-5, 0, 1
Find u, given that 5*u**5 - 100*u**4 + 240*u**3 + 2880*u**2 = 0.
-4, 0, 12
Suppose 3*p**2/2 - 2652*p + 1172184 = 0. Calculate p.
884
Find b such that 3*b**3 - 285*b**2 + 561*b - 279 = 0.
1, 93
Factor 4*j**2 + 1376*j/3 - 460/3.
4*(j + 115)*(3*j - 1)/3
Factor -3*c**2 + 18*c - 15.
-3*(c - 5)*(c - 1)
Factor 2*w**2/3 + 1422*w.
2*w*(w + 2133)/3
Factor -2*f**2 + 268*f + 822.
-2*(f - 137)*(f + 3)
Determine x so that -54*x**4 - 657*x**3/2 - 663*x**2 - 510*x - 132 = 0.
-11/4, -2, -2/3
Factor -55*w**2 + 965*w - 510.
-5*(w - 17)*(11*w - 6)
Determine v, given that -v**3/3 - 25*v**2/3 + 26*v/3 = 0.
-26, 0, 1
Factor q**3/2 + 15*q**2/2 - 216*q + 992.
(q - 8)**2*(q + 31)/2
Determine p so that -3*p**4 - 30*p**3 + 369*p**2 - 1080*p + 972 = 0.
-18, 2, 3
Find u, given that 4*u**2 + 48*u + 128 = 0.
-8, -4
Determine i, given that -3*i**5/2 - 12*i**4 + 189*i**3/2 + 681*i**2 - 1104*i - 4032 = 0.
-8, -2, 3, 7
Factor -5*l**2 + 165*l + 1890.
-5*(l - 42)*(l + 9)
Factor 2*x**2/13 - 20*x/13.
2*x*(x - 10)/13
Solve 9*f**2/4 + 191*f/4 + 21/2 = 0.
-21, -2/9
Let 15*t**5 - 996*t**4 + 16731*t**3 - 6534*t**2 = 0. Calculate t.
0, 2/5, 33
Factor a**4/3 - 53*a**3 + 352*a**2 + 1216*a/3.
a*(a - 152)*(a - 8)*(a + 1)/3
Factor -v**3/4 - 13*v**2/2 - 83*v/4 + 55/2.
-(v - 1)*(v + 5)*(v + 22)/4
Solve k**2/3 - 568*k/3 + 80656/3 = 0.
284
Factor -59*h**3/4 - 383*h**2 - 9919*h/4 + 169/2.
-(h + 13)**2*(59*h - 2)/4
Factor 2*o**3 + 10*o**2 - 144*o + 288.
2*(o - 4)*(o - 3)*(o + 12)
Suppose p**2 + 3572*p + 3189796 = 0. What is p?
-1786
Determine l so that 12*l**5 - 244*l**4 + 300*l**3 + 84*l**2 - 152*l = 0.
-2/3, 0, 1, 19
Factor 5*i**2 - 390*i + 760.
5*(i - 76)*(i - 2)
Find t such that -5*t**5/3 + 110*t**4/3 - 200*t**3 - 110*t**2/3 + 605*t/3 = 0.
-1, 0, 1, 11
Find a such that -5*a**3/2 - 9*a**2 - 19*a/2 - 3 = 0.
-2, -1, -3/5
Factor -3*t**2 + 360*t - 10800.
-3*(t - 60)**2
Solve -15*c**5/4 + 123*c**4/2 + 357*c**3/2 + 129*c**2 - 51*c/4 - 57/2 = 0 for c.
-1, 2/5, 19
Factor -4*a**4/9 + 452*a**3/9 - 296*a**2/3.
-4*a**2*(a - 111)*(a - 2)/9
Determine r so that 3*r**4/5 - 102*r**3/5 + 999*r**2/5 - 324*r - 1620 = 0.
-2, 6, 15
Factor -2*z**4 + 7*z**3 + 14*z**2 + 5*z.
-z*(z - 5)*(z + 1)*(2*z + 1)
Find r, given that 4*r**3 + 40*r**2 + 64*r = 0.
-8, -2, 0
Suppose 2*c**4/9 + 2*c**3/3 - 14*c**2/9 - 10*c/3 + 4 = 0. What is c?
-3, 1, 2
Factor -u**2/3 - 5*u/2 + 4/3.
-(u + 8)*(2*u - 1)/6
Let -4*y**5 + 72*y**4 - 236*y**3 + 152*y**2 + 240*y - 224 = 0. Calculate y.
-1, 1, 2, 14
Factor -5*p**2 + 4160*p - 865280.
-5*(p - 416)**2
Suppose -2*p**4 + 4*p**3 + 18*p**2 - 36*p = 0. What is p?
-3, 0, 2, 3
Factor -2*m**2/11 - 100*m/11 - 1250/11.
-2*(m + 25)**2/11
Factor 2*g**5 + 10*g**4 + 16*g**3 + 8*g**2.
2*g**2*(g + 1)*(g + 2)**2
Determine t, given that -t**2/4 - t + 3 = 0.
-6, 2
Factor 5*f**4 + 60*f**3 + 225*f**2 + 290*f + 120.
5*(f + 1)**2*(f + 4)*(f + 6)
Solve 4*i**4 + 96*i**3 + 840*i**2 + 3200*i + 4500 = 0 for i.
-9, -5
Suppose -o**3/9 + 2*o**2/3 + 8*o/3 - 64/9 = 0. Calculate o.
-4, 2, 8
Suppose h**3 - 13*h**2/2 - 5*h + 21/2 = 0. What is h?
-3/2, 1, 7
Factor 2*g**3/7 - 134*g**2/7 + 262*g/7 - 130/7.
2*(g - 65)*(g - 1)**2/7
Factor -3*u**4 + 441*u**3 + 894*u**2.
-3*u**2*(u - 149)*(u + 2)
Determine p so that -22*p**2/3 - 2318*p/3 - 280 = 0.
-105, -4/11
Factor 2*k**3/5 + 18*k**2/5 + 28*k/5 - 48/5.
2*(k - 1)*(k + 4)*(k + 6)/5
Factor -s**4/5 + 6*s**3/5 + 36*s**2/5 - 216*s/5.
-s*(s - 6)**2*(s + 6)/5
Factor 2*s**3 - 94*s**2 + 352*s - 344.
2*(s - 43)*(s - 2)**2
Factor 2*g**2 - 552*g.
2*g*(g - 276)
Factor 22*k**2/3 + 42*k - 12.
2*(k + 6)*(11*k - 3)/3
Factor -z**2/5 + 11*z - 54/5.
-(z - 54)*(z - 1)/5
Factor -4802*f**2/11 - 11368*f/11 - 6728/11.
-2*(49*f + 58)**2/11
Factor -5*l**3 - 10*l**2 + 5*l + 10.
-5*(l - 1)*(l + 1)*(l + 2)
Factor 3*s**5 + 165*s**4 + 1332*s**3 - 59616*s**2 - 1016064*s - 2488320.
3*(s - 20)*(s + 3)*(s + 24)**3
Determine z, given that -2*z**2/5 + 1292*z/5 - 208658/5 = 0.
323
Find z such that 5*z**5 - 25*z**4 - 110*z**3 + 670*z**2 - 375*z - 1125 = 0.
-5, -1, 3, 5
Factor -h**2/7 - h + 44/7.
-(h - 4)*(h + 11)/7
Factor -6*f**3 - 33380*f**2 - 46414888*f + 30958096.
-2*(f + 2782)**2*(3*f - 2)
Factor 2*h**2/3 - 40*h/3.
2*h*(h - 20)/3
Solve -18*m**5 + 8*m**4 + 2098*m**3/9 - 320*m**2 + 968*m/9 - 32/3 = 0 for m.
-4, 2/9, 1, 3
Let 30*p**3 - 268*p**2 - 22*p + 36 = 0. Calculate p.
-2/5, 1/3, 9
Factor -5*a**4 - 145*a**3 + 465*a**2 - 475*a + 160.
-5*(a - 1)**3*(a + 32)
Factor 3*q**2 + 492*q.
3*q*(q + 164)
Suppose 4*f**3 - 20*f**2 - 64*f + 320 = 0. Calculate f.
-4, 4, 5
Factor -2*s**3 - 34*s**2.
-2*s**2*(s + 17)
Solve -10*d**4/13 - 48*d**3/13 - 30*d**2/13 + 8*d/13 = 0 for d.
-4, -1, 0, 1/5
Determine u, given that 3*u**4 - 15*u**3 + 21*u**2 - 9*u = 0.
0, 1, 3
Factor -961*h**2/2 - 93*h - 9/2.
-(31*h + 3)**2/2
Solve -l**3 + 9*l**2 - 6*l - 16 = 0 for l.
-1, 2, 8
Find x, given that 2*x**3/9 - 86*x**2/9 = 0.
0, 43
Factor 5*q**2 - 10780*q.
5*q*(q - 2156)
Solve 2*v**2/7 + 4204*v/7 - 4206/7 = 0 for v.
-2103, 1
Factor -2*d**3/5 - 36*d**2/5 - 144*d/5.
-2*d*(d + 6)*(d + 12)/5
Factor 2*l**2/17 - 672*l/17 + 670/17.
2*(l - 335)*(l - 1)/17
Factor -4*u**3 + 660*u**2 - 36300*u + 665500.
-4*(u - 55)**3
Factor 234*a**2 - 705*a + 9.
3*(a - 3)*(78*a - 1)
Factor -4*q**4/11 + 13*q**3/11 + 12*q**2/11.
-q**2*(q - 4)*(4*q + 3)/11
Factor -p**3 + 23*p**2 + 76*p + 52.
-(p - 26)*(p + 1)*(p + 2)
Find d, given that -5*d**2/3 + 10*d/3 - 5/3 = 0.
1
Find n, given that 4*n**4 - 40*n**3 + 100*n**2 = 0.
0, 5
Determine c, given that c**2/8 + 12*c + 95/8 = 0.
-95, -1
Determine o so that o**3 + 9*o**2/5 - 77*o/5 + 3 = 0.
-5, 1/5, 3
Factor 5*p**4 - 120*p**3 + 17280*p - 103680.
5*(p - 12)**3*(p + 12)
Let -5*k**5/6 + 15*k**4 - 40*k**3/3 - 15*k**2 + 85*k/6 = 0. Calculate k.
-1, 0, 1, 17
Factor 2*t**3 - 42*t**2 + 208*t - 168.
2*(t - 14)*(t - 6)*(t - 1)
Suppose -d**4/4 + 7*d**3/4 - 3*d**2/2 = 0. Calculate d.
0, 1, 6
Suppose 2*n**5/9 - 38*n**4/9 - 16*n**3/9 + 304*n**2/9 + 32*n/9 - 608/9 = 0. What is n?
-2, 2, 19
Find v, given that -3*v**2/8 + 75*v/4 + 39 = 0.
-2, 52
Find q, given that 3*q**4 + 42*q**3 + 183*q**2 + 252*q + 108 = 0.
-6, -1
Find q, given that -3*q**3/7 + 93*q**2/7 + 582*q/7 - 216 = 0.
-7, 2, 36
Factor 2*j**4/11 - 14*j**3/11 - 42*j**2/11 + 54*j/11.
2*j*(j - 9)*(j - 1)*(j + 3)/11
Find g, given that 4*g**5/5 - 244*g**4/5 + 812*g**3 - 10076*g**2/5 - 928*g/5 + 13456/5 = 0.
-1, 2, 29
Let -4*d**3/5 + 7188*d**2/5 - 4305612*d/5 + 859687196/5 = 0. What is d?
599
What is h in -3*h**5 + 279*h**4 + 6*h**3 - 558*h**2 - 3*h + 279 = 0?
-1, 1, 93
Factor 4*a**4 + 28*a**3 - 348*a**2 - 1404*a + 9720.
4*(a - 6)*(a - 5)*(a + 9)**2
Factor -x**2/3 + 73*x - 218/3.
-(x - 218)*(x - 1)/3
Factor 9*c**5 - 1164*c**4 - 779*c**3 - 130*c**2.
c**2*(c - 130)*(3*c + 1)**2
Suppose -p**2/8 - 301*p/4 - 90601/8 = 0. Calculate p.
-301
Find f, given that -25*f**4 - 1420*f**3 + 11485*f**2 - 2240*f = 0.
-64, 0, 1/5, 7
Factor -10*l**3 + 44*l**2 - 16*l.
-2*l*(l - 4)*(5*l - 2)
Let 12*v**2 - 76*v - 88 = 0. What is v?
-1, 22/3
Solve -9*k**4/2 + 219*k**3 - 5473*k**2/2 + 1752*k - 288 = 0.
1/3, 24
Factor 2*o**3/13 - 14*o**2/13 + 12*o/13.
2*o*(o - 6)*(o - 1)/13
What is z in 5*z**2/3 + 49*z/3 - 22 = 0?
-11, 6/5
Determine y, given that -28*y**3/9 + 184*y**2/3 + 160*y/9 = 0.
-2/7, 0, 20
Factor 5*s**4 - 325*s**3 + 1240*s**2 - 1220*s.
5*s*(s - 61)*(s - 2)**2
Find i, given that -8*i**5 + 84*i**4 - 300*i**3 + 340*i**2 + 228*i - 504 = 0.
-1, 2, 3, 7/2
Factor 4*m**2 - 332*m + 1264.
4*(m - 79)*(m - 4)
Find f such that -f**4/11 - 3*f**3/11 - 2*f**2/11 = 0.
-2, -1, 0
Factor 2*s**2/17 - 210*s/17 + 412/17.
2*(s - 103)*(s - 2)/17
Factor -2*v**3 + 26*v**2 + 28*v.
-2*v*(v - 14)*(v + 1)
Determine t, given that -2*t**2 + 218*t + 444 = 0.
-2, 111
Factor -n**4/6 + 41*n**2/2 - 175*n/3 - 196.
-(n - 7)**2*(n + 2)*(n + 12)/6
Factor -15*b**2 + 2*b/3.
-b*(45*b - 2)/3
Factor -2*c**2 - 116*c + 366.
-2*(c - 3)*(c + 61)
Factor c**4/10 + 21*c**3/5.
c**3*(c + 42)/10
Solve 2*n**3 - 16*n**2 + 30*n = 0.
0, 3, 5
Factor 4*q*