
-269
Let g**2/3 + 23*g/3 + 22/3 = 0. Calculate g.
-22, -1
Factor -5*d**2 + 700*d - 24500.
-5*(d - 70)**2
Let -5*n**2 + 92510*n - 427905005 = 0. What is n?
9251
Solve -j**2 + 99*j - 194 = 0.
2, 97
Factor 4*u**2 - 60*u - 1456.
4*(u - 28)*(u + 13)
Factor -c**2 + 107*c + 560.
-(c - 112)*(c + 5)
Factor -2*l**3/7 + 234*l**2/7 + 236*l/7.
-2*l*(l - 118)*(l + 1)/7
Factor -2*s**3/13 - 72*s**2/13 - 138*s/13 - 68/13.
-2*(s + 1)**2*(s + 34)/13
Solve -20*j**2 - 208*j - 512 = 0 for j.
-32/5, -4
Let -117*d**2 + 237*d - 6 = 0. Calculate d.
1/39, 2
Factor 3*n**2 + 420*n + 14700.
3*(n + 70)**2
Factor -10*q**3/7 + 66*q**2/7 + 108*q/7 + 32/7.
-2*(q - 8)*(q + 1)*(5*q + 2)/7
Find p such that -3*p**3 - 3*p**2 + 42*p + 72 = 0.
-3, -2, 4
Solve 2*l**3/3 - 28*l**2/3 - 178*l/3 - 76 = 0 for l.
-3, -2, 19
Factor 6*c**3 + 64*c**2 + 122*c - 48.
2*(c + 3)*(c + 8)*(3*c - 1)
Factor -15*t**3 - 425*t**2 + 740*t - 300.
-5*(t - 1)*(t + 30)*(3*t - 2)
Suppose -2*t**4/3 - 376*t**3/3 + 1148*t**2/3 + 376*t/3 - 382 = 0. Calculate t.
-191, -1, 1, 3
Let z**4/2 - 5*z**3 - 8*z**2 + 29*z - 33/2 = 0. Calculate z.
-3, 1, 11
Let 4*a**5 + 32*a**4 - 24*a**3 - 160*a**2 + 244*a - 96 = 0. Calculate a.
-8, -3, 1
Solve 108*t**5 + 963*t**4 - 3750*t**3 + 2940*t**2 - 168*t - 288 = 0 for t.
-12, -1/4, 2/3, 2
Factor c**4/4 - 3*c**3 + 51*c**2/4 - 22*c + 12.
(c - 4)**2*(c - 3)*(c - 1)/4
Let 2*c**3/17 + 250*c**2/17 + 1200*c/17 = 0. Calculate c.
-120, -5, 0
What is q in -5*q**4 + 21*q**3 + 9*q**2 - 81*q = 0?
-9/5, 0, 3
Find w such that w**4/4 - 28*w**3 + 159*w**2 + 8*w - 848 = 0.
-2, 4, 106
Factor 4*d**4 + 4*d**3 - 72*d**2 - 208*d - 160.
4*(d - 5)*(d + 2)**3
Let -7*z**2/3 + 11*z/3 - 4/3 = 0. Calculate z.
4/7, 1
Solve -98*y**5 + 56*y**4 + 286*y**3 - 364*y**2 + 136*y - 16 = 0.
-2, 2/7, 1
Factor -2*k**2/5 + 2636*k/5 - 868562/5.
-2*(k - 659)**2/5
Solve -2*a**4/5 + 6*a**3/5 + 8*a**2/5 = 0.
-1, 0, 4
Let 2*i**3/13 - 20*i**2/13 + 14*i/13 + 36/13 = 0. What is i?
-1, 2, 9
Find s such that 15*s**3/4 + 2931*s**2/4 - 1935*s - 891 = 0.
-198, -2/5, 3
Find m, given that -15*m**5 - 25*m**4 + 55*m**3 + 45*m**2 - 80*m + 20 = 0.
-2, 1/3, 1
Factor 5*u**5 - 25*u**4 + 30*u**3 + 20*u**2 - 40*u.
5*u*(u - 2)**3*(u + 1)
Solve -5*u**3 - 80*u**2 - 380*u - 480 = 0 for u.
-8, -6, -2
Suppose 4*v**5 + 47*v**4/2 - 15*v**3 - 157*v**2/2 - 38*v + 6 = 0. What is v?
-6, -1, 1/8, 2
Factor -b**4/3 + 5*b**3 - 14*b**2/3.
-b**2*(b - 14)*(b - 1)/3
Suppose 5*h**4 + 275*h**3 + 3915*h**2 + 3645*h = 0. Calculate h.
-27, -1, 0
Factor -y**3 + 11*y**2.
-y**2*(y - 11)
Find i such that -3*i**3/2 + 471*i**2/2 + 951*i/2 + 477/2 = 0.
-1, 159
Factor -4*x**2 + 33792*x - 71368704.
-4*(x - 4224)**2
Solve -112*q**5/5 + 2692*q**4/5 - 10728*q**3/5 + 188*q**2/5 + 152*q = 0.
-1/4, 0, 2/7, 5, 19
Factor -5*u**5 - 3225*u**4 - 524850*u**3 - 1555250*u**2 - 1548825*u - 515205.
-5*(u + 1)**3*(u + 321)**2
Factor -d**2/2 - 11*d/2 + 105.
-(d - 10)*(d + 21)/2
Factor 3*o**3 + 399*o**2 - 807*o + 405.
3*(o - 1)**2*(o + 135)
Solve 2*f**4/5 + 168*f**3 + 88198*f**2/5 - 168*f - 17640 = 0 for f.
-210, -1, 1
Suppose 4*t**2/3 - 820*t/3 + 272 = 0. Calculate t.
1, 204
Factor -d**4/4 - 107*d**3/4 - 702*d**2 + 729*d.
-d*(d - 1)*(d + 54)**2/4
Factor 4*m**4 - 32*m**3 - 132*m**2 - 16*m + 176.
4*(m - 11)*(m - 1)*(m + 2)**2
Solve 5*p**2 + 50*p - 2295 = 0.
-27, 17
Suppose -256*j**4 - 3520*j**3 - 13104*j**2 + 5292*j + 74088 = 0. Calculate j.
-21/4, 2
Factor -4*j**3/7 - 1560*j**2 - 1419600*j - 430612000.
-4*(j + 910)**3/7
Let 3*h**3/2 - 7305*h**2/2 - 14619*h/2 - 7311/2 = 0. Calculate h.
-1, 2437
Factor 2*s**4 - 10*s**3 + 6*s**2 + 10*s - 8.
2*(s - 4)*(s - 1)**2*(s + 1)
Factor 2*x**3/11 + 6*x**2/11 - 20*x/11.
2*x*(x - 2)*(x + 5)/11
Suppose 45*g**5 - 25*g**4 - 285*g**3 + 245*g**2 + 240*g - 220 = 0. Calculate g.
-22/9, -1, 1, 2
Factor 2*u**4/5 + 448*u**3/5 + 25088*u**2/5.
2*u**2*(u + 112)**2/5
Factor -2*f**5 - 8*f**4 + 24*f**3 + 64*f**2 - 128*f.
-2*f*(f - 2)**2*(f + 4)**2
Factor -3*o**2 - 5190*o - 5187.
-3*(o + 1)*(o + 1729)
Determine g so that 2*g**3/5 + 14*g**2 + 64*g/5 - 136/5 = 0.
-34, -2, 1
Factor -z**5/5 + 6*z**3/5 - 8*z**2/5 + 3*z/5.
-z*(z - 1)**3*(z + 3)/5
Suppose 9*t**5 + 501*t**4 + 798*t**3 - 660*t**2 - 648*t = 0. What is t?
-54, -2, -2/3, 0, 1
Determine w, given that 616*w**5 - 1868*w**4 - 3132*w**3 + 2576*w**2 + 1616*w + 192 = 0.
-3/2, -2/7, -2/11, 1, 4
Solve 602*o**4/3 - 1648*o**3/3 + 242*o**2 + 328*o/3 - 8/3 = 0 for o.
-2/7, 1/43, 1, 2
Factor 385*d**2 - 435*d + 90.
5*(7*d - 6)*(11*d - 3)
Find v such that -4*v**2 - 38880*v - 94478400 = 0.
-4860
Suppose 5*g**4 - 2660*g**3 - 8010*g**2 - 8020*g - 2675 = 0. Calculate g.
-1, 535
Suppose m**4/4 + m**3/4 = 0. Calculate m.
-1, 0
Factor -v**4/9 - 13*v**3/3.
-v**3*(v + 39)/9
Determine f, given that -f**4 + 3*f**3 + 75*f**2 + 137*f + 66 = 0.
-6, -1, 11
Suppose 40*x**4/7 - 34*x**3/7 - 80*x**2/7 - 24*x/7 = 0. What is x?
-3/4, -2/5, 0, 2
Suppose 2*s**4/5 - 12*s**3/5 - 262*s**2/5 + 552*s/5 - 56 = 0. What is s?
-10, 1, 14
Suppose 4*u**4 - 89*u**3 + 82*u**2 + 489*u - 126 = 0. Calculate u.
-2, 1/4, 3, 21
Suppose 90*m**5 - 15*m**4 - 20*m**3 + 5*m**2 = 0. Calculate m.
-1/2, 0, 1/3
Factor 2*m**3/5 - 13*m**2/5 + 22*m/5 - 8/5.
(m - 4)*(m - 2)*(2*m - 1)/5
Determine f so that -f**3/4 - 21*f**2/4 - 30*f - 25 = 0.
-10, -1
Solve 3*v**4/4 - 275*v**3/2 + 318*v**2 - 453*v/2 + 181/4 = 0 for v.
1/3, 1, 181
Factor -12*k**2 + 176*k + 256.
-4*(k - 16)*(3*k + 4)
Suppose -j**5/7 + 3*j**4/7 + 6*j**3/7 - 8*j**2/7 = 0. What is j?
-2, 0, 1, 4
Suppose -2*l**2/5 - 38*l/5 + 84/5 = 0. What is l?
-21, 2
Let 2*h**3 - h**2 - 7*h + 6 = 0. Calculate h.
-2, 1, 3/2
Factor -3*r**4 + 177*r**3 - 2679*r**2 + 1479*r + 15138.
-3*(r - 29)**2*(r - 3)*(r + 2)
Find n such that -2*n**4 - 40*n**3 + 60*n**2 + 360*n - 378 = 0.
-21, -3, 1, 3
Let m**2/3 + 16*m/3 + 5 = 0. What is m?
-15, -1
Find v, given that 5*v**2/4 - 45*v/2 + 225/4 = 0.
3, 15
Factor -5*k**3 + 6140*k**2 - 1897200*k + 7490880.
-5*(k - 612)**2*(k - 4)
Determine b, given that 8*b**2 + 340*b + 3000 = 0.
-30, -25/2
What is l in 45*l**5 - 70*l**4 + 5*l**3 + 20*l**2 = 0?
-4/9, 0, 1
Determine q, given that -4*q**2/3 - 126*q + 190/3 = 0.
-95, 1/2
Factor -2*l**5/3 - 328*l**4/3 - 20642*l**3/3 - 622820*l**2/3 - 9059512*l/3 - 51131696/3.
-2*(l + 22)**3*(l + 49)**2/3
Find i such that 5*i**2 + 24170*i - 24175 = 0.
-4835, 1
Factor 2*u**3/5 - 4*u**2/5 - 8*u/5 + 16/5.
2*(u - 2)**2*(u + 2)/5
Factor -4*l**2/19 + 210*l - 1994/19.
-2*(l - 997)*(2*l - 1)/19
Factor -4*y**4/9 + 32*y**3/9 + 76*y**2/9 + 40*y/9.
-4*y*(y - 10)*(y + 1)**2/9
Find n such that 39*n**4/5 + 294*n**3/5 - 183*n**2/5 - 294*n/5 + 144/5 = 0.
-8, -1, 6/13, 1
Solve -k**3/3 + 23*k**2 - 22*k - 136/3 = 0 for k.
-1, 2, 68
Let 4*m**2 - 248*m + 3844 = 0. Calculate m.
31
Factor -498002*d**2 + 27944*d - 392.
-2*(499*d - 14)**2
Let -12*t**5/7 - 45*t**4/7 + 228*t**3/7 - 42*t**2 + 144*t/7 - 3 = 0. Calculate t.
-7, 1/4, 1
Factor -2*s**5/13 - 86*s**4/13 - 1116*s**3/13 - 5832*s**2/13 - 10800*s/13.
-2*s*(s + 6)**3*(s + 25)/13
Factor 3*d**3/7 - 3*d**2/7 - 3*d/7 + 3/7.
3*(d - 1)**2*(d + 1)/7
Find i, given that i**3/6 + 37*i**2/6 + 124*i/3 + 232/3 = 0.
-29, -4
Solve -7225*z**4/2 - 20655*z**3/2 - 5713*z**2 + 966*z - 36 = 0.
-2, -1, 6/85
Solve -4*z**5 - 8*z**4 + 16*z**3 + 8*z**2 - 12*z = 0.
-3, -1, 0, 1
Factor -2*v**3/13 + 110*v**2/13 - 112*v - 1568/13.
-2*(v - 28)**2*(v + 1)/13
Let -12*p**4 + 15*p**3 + 9*p**2 - 15*p + 3 = 0. What is p?
-1, 1/4, 1
Let -2*m**2/3 + 26*m/3 + 28/3 = 0. Calculate m.
-1, 14
Suppose -d**3/2 + 153*d**2/2 + 625*d/2 + 471/2 = 0. What is d?
-3, -1, 157
Factor 2*f**2 - 120*f + 118.
2*(f - 59)*(f - 1)
What is i in -4*i**3/9 + 38*i**2/9 - 74*i/9 + 28/9 = 0?
1/2, 2, 7
Factor -l**2 + 12*l - 36.
-(l - 6)**2
Factor -4*m**5 + 156*m**4 - 1776*m**3 + 896*m**2 + 75264*m - 197568.
-4*(m - 14)**3*(m - 3)*(m + 6)
Determine n, given that -3*n**3/8 - 21*n**2/8 - 21*n/4 - 3 = 0.
-4, -2, -1
Factor 24*z**3 - 51*z**2/2 - 93*z/2 + 3.
3*(z - 2)*(z + 1)*(16*z - 1)/2
Find t, given that t**3 - 21*t - 20 = 0.
-4, -1, 5
Let p**2 - 40*p + 144 = 0. Calculate p.
4, 36
Determine c so that -32*c**4/3 + 4*c**3 + 20*c**2/3 = 0.
-5/8, 0, 1
Factor 45*u**3 + 60*u**2 + 65*u/4 + 5/4.
5*(u + 1)*(6*u + 1)**2/4
Solve -76*a**3 + 236*a**2 - 176*a + 16 = 0 for a.
2/19, 1, 2
Solve -o**2 + 20*o = 0 for o.
0, 20
Determine w so that w**5/4 + 3*w**