1)**2*(s + 1)/4
Suppose -5*l**2 - 80*l - 140 = 0. What is l?
-14, -2
Factor 2*g**3/13 + 456*g**2/13 + 34656*g/13 + 877952/13.
2*(g + 76)**3/13
Determine u so that -4*u**5 + 4*u**4 + 16*u**3 - 16*u**2 = 0.
-2, 0, 1, 2
Let -2*w**4/3 - 10*w**3/3 + 2*w**2 + 30*w + 36 = 0. Calculate w.
-3, -2, 3
Suppose -2*a**5/15 + 4*a**4/3 + 4*a**3/15 - 8*a**2/3 - 2*a/15 + 4/3 = 0. What is a?
-1, 1, 10
Factor 2*m**5 + 12*m**4 - 6*m**3 - 32*m**2 + 24*m.
2*m*(m - 1)**2*(m + 2)*(m + 6)
Find y such that 5*y**3/4 - 65*y**2/2 + 645*y/4 - 225 = 0.
3, 20
Determine f, given that -4*f**5/7 - 48*f**4/7 - 12*f**3 - 40*f**2/7 = 0.
-10, -1, 0
Factor 3*d**2/8 - 33*d/8 + 15/4.
3*(d - 10)*(d - 1)/8
Factor -7*y**4/10 - 13*y**3/10 + y**2/5.
-y**2*(y + 2)*(7*y - 1)/10
Find t such that -98*t**3/3 - 5138*t**2/3 + 2960*t/3 - 424/3 = 0.
-53, 2/7
Solve 16*h**4/15 + 106*h**3/5 + 1048*h**2/15 + 296*h/5 - 128/15 = 0.
-16, -2, 1/8
Factor 10*l**3 - 4*l**2 - 10*l + 4.
2*(l - 1)*(l + 1)*(5*l - 2)
Factor -2*m**3/19 - 6*m**2/19 + 210*m/19 - 650/19.
-2*(m - 5)**2*(m + 13)/19
Let 4*l**5 - 36*l**4 + 56*l**3 + 136*l**2 - 60*l - 100 = 0. What is l?
-1, 1, 5
Factor 50*x**3 - 2930*x**2/3 + 4928*x - 1536.
2*(3*x - 1)*(5*x - 48)**2/3
Determine o, given that -1568*o**4 - 12432*o**3 + 894*o**2 - 16*o = 0.
-8, 0, 1/28
Determine i so that 4*i**2 + 16*i - 128 = 0.
-8, 4
Factor -p**5/5 - 7*p**4/5 - 18*p**3/5 - 22*p**2/5 - 13*p/5 - 3/5.
-(p + 1)**4*(p + 3)/5
Factor 2*q**2 - 14*q + 12.
2*(q - 6)*(q - 1)
Factor -2*q**2 - 25084*q - 78650882.
-2*(q + 6271)**2
Factor 3*w**4/5 + 12*w**3/5 + 12*w**2/5.
3*w**2*(w + 2)**2/5
Solve -s**3/3 - 2*s**2 + s/3 + 2 = 0 for s.
-6, -1, 1
Factor 3*y**4/8 + 12*y**3 + 429*y**2/4 + 180*y + 675/8.
3*(y + 1)**2*(y + 15)**2/8
Determine u, given that -u**3 + 8*u**2 - 20*u + 16 = 0.
2, 4
Factor 3*a**3 - 105*a**2 + 882*a.
3*a*(a - 21)*(a - 14)
Factor 3*m**2/2 - 465*m + 72075/2.
3*(m - 155)**2/2
Suppose -q**4/3 - 274*q**3/3 - 19309*q**2/3 - 24660*q - 24300 = 0. Calculate q.
-135, -2
Let k**2/2 + 3*k/2 - 2 = 0. Calculate k.
-4, 1
Determine p, given that p**5 + 13*p**4 + 59*p**3 + 119*p**2 + 108*p + 36 = 0.
-6, -3, -2, -1
Factor o**4 + 36*o**3 + 218*o**2 + 444*o + 261.
(o + 1)*(o + 3)**2*(o + 29)
Solve i**3/9 - 62*i**2 + 11532*i - 714984 = 0.
186
Factor b**5 - 5*b**4 - 3*b**3 + 45*b**2 - 54*b.
b*(b - 3)**2*(b - 2)*(b + 3)
Factor f**4/4 - 73*f**3/2 - 805*f**2 - 4150*f.
f*(f - 166)*(f + 10)**2/4
Factor 2*x**5/17 - 8*x**4/17 - 32*x**3/17 + 128*x**2/17.
2*x**2*(x - 4)**2*(x + 4)/17
Determine a, given that -121*a**3/2 + 176*a**2 - 245*a/2 + 25 = 0.
5/11, 2
Factor l**2 + 6990*l + 12215025.
(l + 3495)**2
Solve -3*l**5/2 + 6*l**3 - 3*l**2 - 9*l/2 + 3 = 0.
-2, -1, 1
Suppose 2*j**2 + 864*j + 93312 = 0. What is j?
-216
Let 5*b**5 + 100*b**4 - 605*b**3 + 500*b**2 = 0. What is b?
-25, 0, 1, 4
Factor -5*j**2 + 90*j + 4715.
-5*(j - 41)*(j + 23)
Factor -n**4/2 + 39*n**3/2 + n**2/2 - 39*n/2.
-n*(n - 39)*(n - 1)*(n + 1)/2
Factor 2*z**3 - 26*z**2 + 70*z + 98.
2*(z - 7)**2*(z + 1)
Let 4*p**5/7 - 4*p**4 - 188*p**3/7 + 92*p**2/7 + 472*p/7 - 352/7 = 0. Calculate p.
-4, -2, 1, 11
Factor 3*b**5 + 12*b**4 - 3*b**3 - 12*b**2.
3*b**2*(b - 1)*(b + 1)*(b + 4)
Suppose -4*x**4 - 52*x**3 - 212*x**2 - 332*x - 168 = 0. Calculate x.
-7, -3, -2, -1
Find t such that -2*t**4 - 16*t**3 + 534*t**2 + 1108*t + 560 = 0.
-20, -1, 14
Factor 9*d**2 - 70*d + 1225/9.
(9*d - 35)**2/9
Find b such that -4*b**2 + 640*b - 25600 = 0.
80
Find j, given that -j**2 - 80*j - 304 = 0.
-76, -4
Suppose -3*n**3 + 63*n**2 - 294*n + 360 = 0. What is n?
2, 4, 15
Find w such that 10*w**5/13 - 636*w**4/13 - 4366*w**3/13 - 7944*w**2/13 - 2520*w/13 = 0.
-3, -2/5, 0, 70
Solve -2*g**2 - 654*g - 652 = 0.
-326, -1
Suppose -w**2/3 - 2*w + 91/3 = 0. Calculate w.
-13, 7
What is f in -5*f**2 - 1770*f + 3560 = 0?
-356, 2
Factor -9*c**2 + 15*c - 6.
-3*(c - 1)*(3*c - 2)
Suppose -3*r**3/4 - 15*r**2/2 - 18*r = 0. Calculate r.
-6, -4, 0
Factor -u**5/4 - 3*u**4/8 + u**3/4.
-u**3*(u + 2)*(2*u - 1)/8
Let c**3/2 + 79*c**2 - 322*c + 324 = 0. Calculate c.
-162, 2
Let -2*d**3 + 14*d**2 + 20*d - 32 = 0. What is d?
-2, 1, 8
Suppose -3*a**3 - 69*a**2 + 72*a = 0. What is a?
-24, 0, 1
Solve -3*t**2/7 - 360*t/7 - 10800/7 = 0 for t.
-60
Suppose 3*w**2 - 1926*w - 11664 = 0. Calculate w.
-6, 648
Determine u so that u**2 + 2257*u + 2256 = 0.
-2256, -1
Factor -2*c**4 - 22*c**3 - 46*c**2 + 70*c.
-2*c*(c - 1)*(c + 5)*(c + 7)
Let 3*l**3/5 - 229*l**2/5 - 154*l/5 = 0. What is l?
-2/3, 0, 77
What is k in 3*k**3 - 117*k**2 + 225*k - 111 = 0?
1, 37
Find s such that -s**4/3 - 11*s**3/3 - 19*s**2/3 - 3*s = 0.
-9, -1, 0
Solve -5*u**4 - 60*u**3 - 50*u**2 + 60*u + 55 = 0 for u.
-11, -1, 1
Factor -y**3/2 - 13*y**2/2 - 13*y + 20.
-(y - 1)*(y + 4)*(y + 10)/2
Solve -a**2/9 - 31*a/9 - 10/3 = 0.
-30, -1
Factor 3*w**3/4 - 9*w**2/2 + 6*w.
3*w*(w - 4)*(w - 2)/4
Factor o**2/8 + 5*o/4 - 75/8.
(o - 5)*(o + 15)/8
Factor y**4/4 + 3*y**3/2 - 301*y**2/4 + 147*y/2.
y*(y - 14)*(y - 1)*(y + 21)/4
Suppose -2*q**2/9 + 712*q/9 - 63368/9 = 0. Calculate q.
178
Factor -5*p**2 + 15*p - 10.
-5*(p - 2)*(p - 1)
Suppose -2*s**2 + 48*s - 46 = 0. Calculate s.
1, 23
Factor 3*k**3/4 - 33*k**2/4 - 9*k.
3*k*(k - 12)*(k + 1)/4
Determine o, given that o**2/6 + 647*o/3 + 418609/6 = 0.
-647
Suppose -49*x**5 - 70*x**4 + 493*x**3 + 622*x**2 - 468*x + 72 = 0. What is x?
-3, -2, 2/7, 3
Suppose -12*i**5 - 2355*i**4 - 173460*i**3 - 5690370*i**2 - 70589400*i - 17294403 = 0. Calculate i.
-49, -1/4
Determine k so that -3*k**2 + 24*k + 27 = 0.
-1, 9
Factor -4*m**2 + 3536*m - 781456.
-4*(m - 442)**2
Factor 27*d**3/10 - 2619*d**2/5 + 169362*d/5 - 3650692/5.
(3*d - 194)**3/10
Factor -2*z**3/5 - 44*z**2/5 - 144*z/5.
-2*z*(z + 4)*(z + 18)/5
Suppose 4*u**2 - 212*u - 912 = 0. What is u?
-4, 57
Factor o**4/4 + 5*o**3/2 - 53*o**2/4 + 21*o/2.
o*(o - 3)*(o - 1)*(o + 14)/4
Factor -k**5/5 - 11*k**4/5 - 32*k**3/5 - 28*k**2/5.
-k**2*(k + 2)**2*(k + 7)/5
Factor -3*a**3 + 57*a**2 - 48*a - 108.
-3*(a - 18)*(a - 2)*(a + 1)
Factor -9*d**4 + 570*d**3 + 1571*d**2 + 856*d + 132.
-(d - 66)*(d + 2)*(3*d + 1)**2
Factor -4*p**2 + 29*p/2 - 21/2.
-(p - 1)*(8*p - 21)/2
Factor 2*b**4 - 64*b**3 + 444*b**2 + 1088*b + 578.
2*(b - 17)**2*(b + 1)**2
Find l, given that -3*l**4 + 6*l**3 - 3*l**2 = 0.
0, 1
Determine k so that 4*k**5/9 + 34*k**4/3 + 140*k**3/9 - 34*k**2/3 - 16*k = 0.
-24, -3/2, -1, 0, 1
Let 144*n**3 + 3408*n**2 - 1148*n + 96 = 0. Calculate n.
-24, 1/6
Suppose 100*x**5 + 79980*x**4 + 15983936*x**3 - 3251216*x**2 - 10252800*x - 2560000 = 0. Calculate x.
-400, -2/5, 1
Suppose 12*j**5/5 + 15*j**4 + 6*j**3/5 - 15*j**2 - 18*j/5 = 0. What is j?
-6, -1, -1/4, 0, 1
Determine g so that -g**3/4 + 309*g**2/2 + 621*g + 622 = 0.
-2, 622
Determine t so that 4*t**4 - 24*t**3 - 100*t**2 - 72*t = 0.
-2, -1, 0, 9
Factor 4*u**3 + 44*u**2 + 128*u + 112.
4*(u + 2)**2*(u + 7)
Factor -2*g**2/9 + 2776*g - 8669448.
-2*(g - 6246)**2/9
Factor -554700*s**3 - 3325620*s**2 + 15477*s - 18.
-3*(s + 6)*(430*s - 1)**2
Factor -z**2/9 + 233*z/9.
-z*(z - 233)/9
Suppose c**3/4 - 261*c**2/2 + 22707*c - 1317006 = 0. What is c?
174
Let 900*n**3 + 90*n**2 - 24*n - 8/3 = 0. Calculate n.
-2/15, 1/6
Determine q so that q**4/4 + 213*q**3/4 - 217*q**2 = 0.
-217, 0, 4
Solve -2*x**3/7 - 82*x**2/7 - 54*x/7 + 18954/7 = 0.
-27, 13
Let -3*x**5/4 - 3*x**4/2 + 3*x**3 + 3*x**2/2 - 9*x/4 = 0. Calculate x.
-3, -1, 0, 1
Factor -896*l**3 + 144*l**2 + 57*l/2 + 1.
-(7*l - 2)*(16*l + 1)**2/2
Suppose -8*g**5/3 - 22*g**4 - 62*g**3 - 172*g**2/3 + 24*g + 48 = 0. Calculate g.
-3, -2, 3/4
Factor -95481*g**3/4 - 47895*g**2 - 1237*g/4 - 1/2.
-(g + 2)*(309*g + 1)**2/4
Let -2*r**4 - 104*r**3 - 1244*r**2 + 2808*r - 1458 = 0. Calculate r.
-27, 1
Let -v**2 + 21*v + 232 = 0. Calculate v.
-8, 29
Let y**2/6 + 2032*y + 6193536 = 0. Calculate y.
-6096
Factor z**2/7 - 8*z/7 - 48/7.
(z - 12)*(z + 4)/7
Factor l**2/5 - 186*l + 43245.
(l - 465)**2/5
Factor 5*b**3 + 190*b**2 + 185*b.
5*b*(b + 1)*(b + 37)
Determine o so that -3*o**5/8 + 3*o**4/8 + 9*o**3/8 - 3*o**2/8 - 3*o/4 = 0.
-1, 0, 1, 2
Let -5*m**3 + 25*m**2 + 70*m = 0. What is m?
-2, 0, 7
Let -s**4/5 + 11*s**3/5 - 27*s**2/5 + 5*s - 8/5 = 0. Calculate s.
1, 8
Find n such that -5*n**3 + 35*n**2 - 70*n + 40 = 0.
1, 2, 4
Factor 4*w**5 - 12*w**4 + 8*w**3.
4*w**3*(w - 2)*(w - 1)
Solve -y**3 - 980*y**2 - 240100*y