- 512*z**2/11 + 664*z/11 + 672/11 = 0.
-2, -1, 1, 84
Determine g so that -2*g**5/13 - 6*g**4/13 + 14*g**3/13 + 22*g**2/13 - 12*g/13 - 16/13 = 0.
-4, -1, 1, 2
Factor -i**4 + 2*i**2 - 1.
-(i - 1)**2*(i + 1)**2
Suppose -46*d**3/3 - 464*d**2/3 - 40*d/3 = 0. What is d?
-10, -2/23, 0
Suppose -32*p**5/3 + 16*p**4/3 + 18*p**3 - 22*p**2/3 - 22*p/3 + 2 = 0. What is p?
-1, -3/4, 1/4, 1
Suppose 5*m**5 + 545*m**4 + 19425*m**3 + 212195*m**2 - 506530*m = 0. Calculate m.
-37, 0, 2
Find d, given that -2*d**4/3 + 24*d**3 - 646*d**2/3 - 24*d + 216 = 0.
-1, 1, 18
Factor -2*y**2/5 - 74*y/5 + 144.
-2*(y - 8)*(y + 45)/5
What is t in 2*t**4/3 + 2*t**3/3 - 8*t**2 + 8*t/3 + 32/3 = 0?
-4, -1, 2
Find r such that -4*r**5 + 76*r**4 - 228*r**3 - 1180*r**2 - 1352*r - 480 = 0.
-1, 10, 12
Factor 4*n**2/9 - 2240*n/9 + 313600/9.
4*(n - 280)**2/9
Find y, given that -20*y**2 + 2075*y - 1545 = 0.
3/4, 103
Determine m, given that 3*m**4 - 24*m**3 + 33*m**2 + 60*m = 0.
-1, 0, 4, 5
Factor -2*t**2/11 + 2*t + 52/11.
-2*(t - 13)*(t + 2)/11
Factor -x**2 - 7*x - 6.
-(x + 1)*(x + 6)
Factor 2*h**2/11 + 1108*h/11 - 1110/11.
2*(h - 1)*(h + 555)/11
Factor 3*m**4/4 - 15*m**3/2 - 159*m**2/4 - 63*m/2.
3*m*(m - 14)*(m + 1)*(m + 3)/4
Factor 2*l**2/9 + 8*l/9 - 14/3.
2*(l - 3)*(l + 7)/9
Factor -18*v**2 + 24*v - 8.
-2*(3*v - 2)**2
Suppose -2*y**3/5 + 3418*y**2/5 + 2*y/5 - 3418/5 = 0. What is y?
-1, 1, 1709
Factor -2*i**3/7 - 96*i**2/7 - 150*i + 2500/7.
-2*(i - 2)*(i + 25)**2/7
Factor n**2/6 - 214*n/3 + 142.
(n - 426)*(n - 2)/6
Factor -3*f**3/8 - 108*f**2 - 1719*f/8 - 429/4.
-3*(f + 1)**2*(f + 286)/8
Determine u so that 2*u**2/23 - 12*u/23 - 14/23 = 0.
-1, 7
Find k such that -k**2/4 - k/4 = 0.
-1, 0
Factor 2*g**3/3 + 364*g**2/3 + 5640*g + 10800.
2*(g + 2)*(g + 90)**2/3
Let 4*s**5 - 128*s**4 - 136*s**3 + 128*s**2 + 132*s = 0. Calculate s.
-1, 0, 1, 33
Solve b**2/4 - 3699*b/4 + 1849/2 = 0.
1, 3698
Solve 3*i**4/7 - 48*i**3/7 - 459*i**2/7 - 600*i/7 + 1104/7 = 0 for i.
-4, 1, 23
Solve -3*c**4 - 480*c**3 = 0 for c.
-160, 0
Factor -2*m**2/5 + 616*m/5 - 1224/5.
-2*(m - 306)*(m - 2)/5
Determine u so that 4*u**3 - 440*u**2 + 12100*u = 0.
0, 55
Factor -x**2/3 - 1424*x/3.
-x*(x + 1424)/3
Determine w, given that 25*w**4 + 240*w**3 + 725*w**2 + 570*w - 360 = 0.
-4, -3, 2/5
Find h, given that 3*h**4 - 81*h**3 + 75*h**2 + 81*h - 78 = 0.
-1, 1, 26
Factor -9*r**2 - 3876*r + 1293.
-3*(r + 431)*(3*r - 1)
Factor 2*x**3 - 222*x**2 + 8214*x - 101306.
2*(x - 37)**3
Factor 4*v**2 + 2164*v + 8592.
4*(v + 4)*(v + 537)
Let 4*f**2 - 12*f - 72 = 0. Calculate f.
-3, 6
Let u**3/3 - 74*u**2/3 + 1369*u/3 = 0. What is u?
0, 37
Factor -7*d**2/4 + 327*d/4 + 47/2.
-(d - 47)*(7*d + 2)/4
Factor 7*y**3/2 + 34*y**2 + 43*y/2 - 9.
(y + 1)*(y + 9)*(7*y - 2)/2
Find n such that 40*n**5/3 + 934*n**4/3 + 1180*n**3/3 - 194*n**2/3 - 392*n/3 + 88/3 = 0.
-22, -1, 1/4, 2/5
Find o such that -o**2/5 + 153*o/5 + 154/5 = 0.
-1, 154
Let -f**5 + f**4 + 5*f**3 - 5*f**2 - 4*f + 4 = 0. Calculate f.
-2, -1, 1, 2
Suppose 2*u**3/7 + 2224*u**2/7 + 4442*u/7 + 2220/7 = 0. Calculate u.
-1110, -1
Factor -5*m**3 - 25*m**2 + 180*m.
-5*m*(m - 4)*(m + 9)
Let -3*d**4 + 45*d**3 - 57*d**2 - 261*d - 156 = 0. Calculate d.
-1, 4, 13
Factor -15*l**2/2 + 1971*l/2 - 393.
-3*(l - 131)*(5*l - 2)/2
Suppose 3*h**5/8 - 3*h**3 + 6*h = 0. What is h?
-2, 0, 2
Determine n, given that -5*n**5 + 644*n**4/3 - 1120*n**3 + 2462*n**2/3 + 213*n - 370/3 = 0.
-2/5, 1/3, 1, 5, 37
Suppose -2*z**3/9 - 22*z**2/9 - 16*z/3 = 0. Calculate z.
-8, -3, 0
Find s, given that -3*s**4 - 156*s**3 - 1242*s**2 + 44436*s + 620517 = 0.
-23, 17
Determine z so that z**2/6 - 637*z/6 + 635/3 = 0.
2, 635
Suppose n**4 - 25*n**3 + 137*n**2 - 203*n + 90 = 0. What is n?
1, 5, 18
Factor 2*r**3/3 + 1676*r**2/3 - 5042*r/3 + 3364/3.
2*(r - 2)*(r - 1)*(r + 841)/3
Factor -2*h**4/7 - 220*h**3/7 - 5400*h**2/7 + 121500*h/7 + 4556250/7.
-2*(h - 25)*(h + 45)**3/7
Factor 3*x**2/4 + 195*x/4 + 225.
3*(x + 5)*(x + 60)/4
Factor -3*k**3/2 + 42*k**2 + 189*k/2 - 135.
-3*(k - 30)*(k - 1)*(k + 3)/2
Solve 3*y**2/2 - 4866*y + 3946326 = 0 for y.
1622
Let -54*f**4/11 - 156*f**3/11 - 104*f**2/11 - 16*f/11 = 0. What is f?
-2, -2/3, -2/9, 0
Factor -4*j**3 + 80*j**2 - 212*j + 136.
-4*(j - 17)*(j - 2)*(j - 1)
Suppose -2*g**5 - 9*g**4/2 + 17*g**3/4 - 3*g**2/4 = 0. Calculate g.
-3, 0, 1/4, 1/2
Solve -162*b**4 + 738*b**3 - 296*b**2 - 248*b - 32 = 0.
-2/9, 1, 4
Find q, given that -3*q**4 - 33*q**3 + 9*q**2 + 105*q + 66 = 0.
-11, -1, 2
Factor 5*f**2 + 910*f + 1800.
5*(f + 2)*(f + 180)
Solve -a**2/3 + 8132*a/3 - 16532356/3 = 0 for a.
4066
Factor 5*c**2 + 3005*c.
5*c*(c + 601)
What is q in q**4 + 10*q**3 + 24*q**2 - 10*q - 25 = 0?
-5, -1, 1
Suppose 2*u**4/17 - 12*u**3/17 - 94*u**2/17 - 168*u/17 - 88/17 = 0. What is u?
-2, -1, 11
Factor -3*o**2 + 465*o - 918.
-3*(o - 153)*(o - 2)
Solve b**3 + 199*b**2 + 1544*b + 3056 = 0 for b.
-191, -4
Find q such that -5*q**4 + 1275*q**3 + 1285*q**2 - 1275*q - 1280 = 0.
-1, 1, 256
Let 4*r**4 - 20*r**3 - 352*r**2 - 832*r = 0. Calculate r.
-4, 0, 13
Let 4*o**5 + 224*o**4 + 3748*o**3 + 17432*o**2 + 31600*o + 20000 = 0. What is o?
-25, -2
Factor -w**4/8 - 53*w**3/8 - 447*w**2/4 - 1243*w/2 - 847.
-(w + 2)*(w + 7)*(w + 22)**2/8
Factor -9*n**4/2 + 75*n**3/2 - 12*n**2.
-3*n**2*(n - 8)*(3*n - 1)/2
What is h in -2*h**2/5 - 892*h/5 + 894/5 = 0?
-447, 1
Factor -8*m**3 + 4350*m**2 - 3256*m - 1086.
-2*(m - 543)*(m - 1)*(4*m + 1)
Find f such that -4*f**2/3 + 496*f + 2992/3 = 0.
-2, 374
Determine m, given that -2*m**2 + 8024*m - 8048072 = 0.
2006
Factor -4*y**3 + 26292*y**2 - 57605772*y + 42071415484.
-4*(y - 2191)**3
Factor -5*m**4 + 115*m**3 - 910*m**2 + 2720*m - 1920.
-5*(m - 8)**2*(m - 6)*(m - 1)
Factor 4*j**2 + 64440*j + 259532100.
4*(j + 8055)**2
Suppose 50*s**5/11 - 940*s**4/11 + 1478*s**3/11 + 956*s**2/11 - 1240*s/11 + 272/11 = 0. Calculate s.
-1, 2/5, 2, 17
Suppose j**4/4 - j**3/2 + j**2/4 = 0. What is j?
0, 1
Let -2*f**2 + 26208*f - 85857408 = 0. What is f?
6552
Suppose -2*s**2 + 50*s = 0. Calculate s.
0, 25
Factor -x**2 + 41*x + 42.
-(x - 42)*(x + 1)
Determine b, given that b**4 + 10*b**3 = 0.
-10, 0
Suppose 4*j**5 - 4*j**4 - 20*j**3 - 12*j**2 = 0. Calculate j.
-1, 0, 3
Suppose -12*m**4/5 + 128*m**3/5 - 404*m**2/5 + 432*m/5 - 144/5 = 0. Calculate m.
2/3, 1, 3, 6
Suppose l**5/3 + 5*l**4/3 - 2*l**3 - 18*l**2 - 9*l + 27 = 0. Calculate l.
-3, 1, 3
Factor -u**3/5 + 19*u**2/5 - 18*u + 72/5.
-(u - 12)*(u - 6)*(u - 1)/5
Solve -k**2 + 4*k + 12 = 0 for k.
-2, 6
Solve -2*x**2/9 + 22*x/3 = 0 for x.
0, 33
Factor 12*i**3 - 140*i**2 + 208*i - 80.
4*(i - 10)*(i - 1)*(3*i - 2)
Factor -6*y**3/5 - 123*y**2/5 - 12*y.
-3*y*(y + 20)*(2*y + 1)/5
Factor 4*z**4 - 192*z**3 + 368*z**2.
4*z**2*(z - 46)*(z - 2)
Factor -z**3/5 - 156*z**2 + 781*z/5.
-z*(z - 1)*(z + 781)/5
Solve y**4 - 227*y**3 + 17325*y**2 - 455625*y + 843750 = 0.
2, 75
Suppose -4*y**2 + 32*y + 132 = 0. Calculate y.
-3, 11
What is x in -4*x**5/5 + 4*x**4 + 28*x**3/5 - 4*x**2 - 24*x/5 = 0?
-1, 0, 1, 6
Find b such that b**3/3 + 2*b**2 - 3*b - 14/3 = 0.
-7, -1, 2
Solve 2*h**2 + 28*h - 102 = 0 for h.
-17, 3
Find y such that 4*y**2/9 - 728*y/3 - 4384/9 = 0.
-2, 548
What is n in 2*n**2 + 1000*n + 998 = 0?
-499, -1
Let 5*k**4 + 110*k**3 + 480*k**2 - 1310*k + 715 = 0. Calculate k.
-13, -11, 1
Find z, given that -z**3 + 61*z**2 - 1015*z + 2523 = 0.
3, 29
Determine n, given that -2*n**4 + 2*n**3 + 12*n**2 = 0.
-2, 0, 3
Find j such that -4*j**4 - 120*j**3 - 900*j**2 = 0.
-15, 0
Suppose -3*i**4 + 303*i**3/4 + 279*i**2/2 + 243*i/4 = 0. Calculate i.
-1, -3/4, 0, 27
Factor -y**4/3 + 2*y**3/3 + 40*y**2 + 608*y/3 + 896/3.
-(y - 14)*(y + 4)**3/3
Let -3*b**2 + 2989*b + 1994 = 0. Calculate b.
-2/3, 997
Factor l**5/4 - 5*l**4/4 - 8*l**3 - 9*l**2.
l**2*(l - 9)*(l + 2)**2/4
Determine f so that 116*f**2/5 + 49*f + 54/5 = 0.
-54/29, -1/4
What is a in 35*a**3 + 200*a**2 + 220*a - 80 = 0?
-4, -2, 2/7
Find o such that 2*o**2/3 - 52*o/3 = 0.
0, 26
Factor -u**3/7 + u**2/7 + 12*u/7.
-u*(u - 4)*(u + 3)/7
Factor 3*t**3/2 + 49*t**2 + 1040*t/3 - 2704/3.
(t - 2)*(3*t + 52)**2/6
Factor 5*r**2 + 115*r + 380.
5*(r + 4)*(r + 19)
Factor 2*c**3 - 38*c**2 + 128*c - 120.
2*(c - 15)*(c - 2)**2
Factor -v**4/5 - 6*v**3/5 + 54*v/5 + 81/5.
-(v - 3)*(v + 3)**3/5
Suppose 4*h**3 - 48*h**2 + 180*h - 200 = 0. Calculate h.
2, 5
Solve -2*a**3 + 11*a**