-1
Factor s**2/8 + 61*s/8.
s*(s + 61)/8
Factor 2*u**2/7 - 408*u + 145656.
2*(u - 714)**2/7
Suppose -18*w**3/17 - 168*w**2/17 - 410*w/17 - 300/17 = 0. Calculate w.
-6, -5/3
Determine l so that -4*l**3 - 28*l**2 - 40*l = 0.
-5, -2, 0
Determine a, given that -3*a**2 + 10023*a - 10020 = 0.
1, 3340
Factor 4*l**2 + 116*l + 112.
4*(l + 1)*(l + 28)
Let 10*h**4/9 + 24*h**3 + 122*h**2/9 - 28*h/3 = 0. What is h?
-21, -1, 0, 2/5
Factor j**4 + 446*j**3 + 48373*j**2 - 302388*j + 459684.
(j - 3)**2*(j + 226)**2
Factor 4*n**2/5 - 2408*n/5 + 362404/5.
4*(n - 301)**2/5
Solve -20*n**5 - 32*n**4 + 76*n**3 - 24*n**2 = 0 for n.
-3, 0, 2/5, 1
Factor 2*w**3/21 - 2924*w**2/7 + 3206166*w/7.
2*w*(w - 2193)**2/21
Determine n, given that 5*n**5/2 + 125*n**4/2 + 545*n**3/2 + 935*n**2/2 + 355*n + 100 = 0.
-20, -2, -1
Determine k, given that 21*k**4 - 174*k**3 + 153*k**2 + 264*k - 84 = 0.
-1, 2/7, 2, 7
Factor -10*y**2/9 + 22*y/3 + 112/9.
-2*(y - 8)*(5*y + 7)/9
What is j in j**3/5 + 11*j**2/5 + 26*j/5 + 16/5 = 0?
-8, -2, -1
Factor 2*l**2 - 4880*l + 2976800.
2*(l - 1220)**2
Factor y**2/7 + 496*y/7 + 61504/7.
(y + 248)**2/7
Suppose -4*u**5/3 - 4*u**4 + 48*u**3 - 128*u**2/3 = 0. Calculate u.
-8, 0, 1, 4
Solve -o**2 - 1322*o - 436921 = 0.
-661
Determine x, given that -11532*x**5 + 24180*x**4 - 13791*x**3 + 1170*x**2 - 27*x = 0.
0, 3/62, 1
Factor -2*v**2/5 - 7028*v/5 - 6174098/5.
-2*(v + 1757)**2/5
What is i in 2*i**5/19 + 3836*i**4/19 + 1835522*i**3/19 - 3682560*i**2/19 + 1843200*i/19 = 0?
-960, 0, 1
Factor 4*p**2 + 136*p - 140.
4*(p - 1)*(p + 35)
Determine v, given that -2*v**5 - 8*v**4 + 34*v**3 + 136*v**2 - 32*v - 128 = 0.
-4, -1, 1, 4
Determine j so that 2*j**3/5 - 6*j**2/5 - 8*j/5 = 0.
-1, 0, 4
Suppose -z**4/4 + 49*z**3/2 - 2497*z**2/4 + 1176*z - 576 = 0. Calculate z.
1, 48
Suppose -3*y**5 - 21*y**4 - 45*y**3 - 27*y**2 = 0. Calculate y.
-3, -1, 0
What is t in 2*t**2/3 + 34*t/3 = 0?
-17, 0
Let -2*c**4 + 8*c**3 + 18*c**2 - 32*c - 40 = 0. Calculate c.
-2, -1, 2, 5
Factor -c**3/3 + c**2/3 + c/3 - 1/3.
-(c - 1)**2*(c + 1)/3
Factor p**4/11 + 10*p**3/11 - 31*p**2/11 - 20*p.
p*(p - 5)*(p + 4)*(p + 11)/11
Let -4*x**3 - 572*x**2 - 568*x = 0. What is x?
-142, -1, 0
Factor 2*z**2/7 - 656*z/7 + 53792/7.
2*(z - 164)**2/7
Suppose 4*z**4/5 - 20*z**3 + 432*z**2/5 + 560*z - 3136/5 = 0. What is z?
-4, 1, 14
Let 2*a**5/3 - 10*a**4/3 + 4*a**3 = 0. What is a?
0, 2, 3
Suppose 5*y**5 + 5*y**4 - 75*y**3 + 115*y**2 - 50*y = 0. What is y?
-5, 0, 1, 2
Factor -3*t**2 - 3774*t - 1186923.
-3*(t + 629)**2
Solve -3*x**3/8 - 45*x**2/8 - 21*x/4 = 0 for x.
-14, -1, 0
Solve -x**2 + 9*x + 10 = 0 for x.
-1, 10
Find q such that q**2/6 + 25*q/6 - 13/3 = 0.
-26, 1
Factor -6*f**3 - 128*f**2 - 488*f/3 - 160/3.
-2*(f + 20)*(3*f + 2)**2/3
Factor -172*m**2 - 2912*m + 204.
-4*(m + 17)*(43*m - 3)
Factor -5*u**3 + 365*u**2 - 4375*u + 14455.
-5*(u - 59)*(u - 7)**2
Suppose 2*i**4/11 + 34*i**3/11 + 80*i**2/11 - 600*i/11 = 0. Calculate i.
-10, 0, 3
Factor 4*f**3 - 2540*f**2 + 404492*f - 401956.
4*(f - 317)**2*(f - 1)
Factor t**3 + 27*t**2 + 51*t + 25.
(t + 1)**2*(t + 25)
Factor -140*u**3 - 575*u**2 - 60*u.
-5*u*(u + 4)*(28*u + 3)
Factor -i**5 - 58*i**4 - 168*i**3 - 166*i**2 - 55*i.
-i*(i + 1)**3*(i + 55)
Solve 20*s**3 - 892*s**2 - 4372*s + 2940 = 0 for s.
-5, 3/5, 49
Factor -5*w**4 - 80*w**3 - 70*w**2 + 80*w + 75.
-5*(w - 1)*(w + 1)**2*(w + 15)
Let -2*f**5/11 - 60*f**4/11 - 632*f**3/11 - 240*f**2 - 3200*f/11 = 0. Calculate f.
-10, -8, -2, 0
Solve q**5 + 19*q**4 + 76*q**3 - 176*q**2 - 320*q + 400 = 0.
-10, -2, 1, 2
Factor 3*q**3 + 237*q**2 + 465*q + 231.
3*(q + 1)**2*(q + 77)
Factor -2*p**2/17 - 620*p/17 - 618/17.
-2*(p + 1)*(p + 309)/17
Solve p**3 + 7116*p**2 + 16879152*p + 13345782848 = 0 for p.
-2372
Factor -4*d**3 + 100*d**2 + 104*d.
-4*d*(d - 26)*(d + 1)
Factor -2*w**3/3 + 2*w**2/3 + 4*w/3.
-2*w*(w - 2)*(w + 1)/3
Factor -h**2/2 + 13*h - 105/2.
-(h - 21)*(h - 5)/2
Let h**4 - 10*h**3 - 13*h**2 + 22*h = 0. Calculate h.
-2, 0, 1, 11
Suppose k**4 + 4*k**3 + 2*k**2 - 4*k - 3 = 0. What is k?
-3, -1, 1
Factor 2*p**2/11 + 16*p/11 - 40/11.
2*(p - 2)*(p + 10)/11
Factor v**2 - 264*v - 1620.
(v - 270)*(v + 6)
What is p in p**3 - 7*p**2/3 - 12*p - 20/3 = 0?
-2, -2/3, 5
Find b, given that -2*b**2/15 + 68*b/15 - 22/5 = 0.
1, 33
Determine o so that o**2/5 + 17*o + 80 = 0.
-80, -5
Let -s**2/8 + 1371*s/8 - 685/4 = 0. Calculate s.
1, 1370
Determine a, given that 2*a**3/3 + 62*a**2/3 - 2*a/3 - 62/3 = 0.
-31, -1, 1
Factor 3*b**2 + 6*b/5 - 9/5.
3*(b + 1)*(5*b - 3)/5
Factor l**2/7 - 94*l/7 - 816/7.
(l - 102)*(l + 8)/7
Solve 2*f**5/9 + 4*f**4/9 - 20*f**3/9 - 16*f**2/9 + 22*f/3 - 4 = 0.
-3, 1, 2
Solve -v**2/3 + 565*v/3 - 1126/3 = 0.
2, 563
Let -3*w**4 + 246*w**3 - 477*w**2 - 246*w + 480 = 0. Calculate w.
-1, 1, 2, 80
Let 2*x**2 - 182*x + 180 = 0. Calculate x.
1, 90
Factor 20*t**4 - 205*t**3 + 655*t**2 - 650*t.
5*t*(t - 5)*(t - 2)*(4*t - 13)
Find d such that -4*d**2/5 - 32*d + 704/5 = 0.
-44, 4
Let 3*r**3 - 309*r**2 + 7800*r + 8112 = 0. Calculate r.
-1, 52
Suppose -t**4 + 161*t**3 + 162*t**2 = 0. Calculate t.
-1, 0, 162
Factor -t**2/2 - 913*t/2 - 456.
-(t + 1)*(t + 912)/2
Find w, given that 109*w**2/6 + 107*w/6 - 1/3 = 0.
-1, 2/109
Solve -2*o**2/17 + 348*o/17 - 15138/17 = 0.
87
Solve -2*q**5/7 + 16*q**4/7 - 40*q**3/7 + 20*q**2/7 + 6*q - 36/7 = 0.
-1, 1, 2, 3
Factor -2*x**4 - 6*x**3 + 2*x**2 + 6*x.
-2*x*(x - 1)*(x + 1)*(x + 3)
Factor -j**4/4 - j**3 + 37*j**2/4 + 10*j.
-j*(j - 5)*(j + 1)*(j + 8)/4
Factor -4*z**4 + 152*z**3 - 420*z**2 - 16*z + 560.
-4*(z - 35)*(z - 2)**2*(z + 1)
Solve v**3 - 21*v**2 + 39*v - 19 = 0.
1, 19
Determine z, given that 245*z**5 + 21035*z**4 + 17895*z**3 + 3825*z**2 = 0.
-85, -3/7, 0
Solve -2*w**2 + 264*w + 266 = 0.
-1, 133
Factor -147*a**3 + 61215*a**2 + 35016*a + 5004.
-3*(a - 417)*(7*a + 2)**2
Factor r**3 - 53*r**2 + 728*r - 676.
(r - 26)**2*(r - 1)
Determine u, given that -4*u**3 + 164*u**2 + 720*u = 0.
-4, 0, 45
Factor -u**4/9 - 7*u**3/3 + 23*u**2/3 - 71*u/9 + 8/3.
-(u - 1)**3*(u + 24)/9
Solve 5*b**2 + 12670*b + 8026445 = 0.
-1267
Factor 2*d**3/21 + 82*d**2/21.
2*d**2*(d + 41)/21
Suppose -27*x**4/4 - 33*x**3/4 + 213*x**2/2 - 111*x - 30 = 0. Calculate x.
-5, -2/9, 2
Determine r, given that -12*r**3 + 484*r**2 - 152*r - 320 = 0.
-2/3, 1, 40
Let -4*u**5 + 40*u**4 + 100*u**3 - 40*u**2 - 96*u = 0. What is u?
-2, -1, 0, 1, 12
Let -3*y**5 + 105*y**4 + 459*y**3 + 363*y**2 - 456*y - 468 = 0. Calculate y.
-2, -1, 1, 39
Factor -3*v**2 - 159*v - 156.
-3*(v + 1)*(v + 52)
Factor 3*q**2/2 - 21*q/2 - 12.
3*(q - 8)*(q + 1)/2
Solve -o**2/4 - 45*o/4 - 133/2 = 0.
-38, -7
Solve -4*f**2 - 3408*f - 725904 = 0.
-426
Factor -2*c**5 + 182*c**4 - 4048*c**3 - 4232*c**2.
-2*c**2*(c - 46)**2*(c + 1)
Suppose -n**2/3 - 247*n/3 - 244 = 0. Calculate n.
-244, -3
What is m in 3*m**4/5 + 216*m**3/5 + 5103*m**2/5 + 39366*m/5 = 0?
-27, -18, 0
Let -21*l**3 - 3207*l**2 + 4152*l - 924 = 0. Calculate l.
-154, 2/7, 1
Let 5*l**5 - 45*l**4 - 45*l**3 + 1105*l**2 - 1920*l + 900 = 0. Calculate l.
-5, 1, 6
Factor -j**5/6 - 6*j**4 - 431*j**3/6 - 282*j**2 + 72*j + 288.
-(j - 1)*(j + 1)*(j + 12)**3/6
Solve -24*b**5 + 46*b**4 + 94*b**3 - 34*b**2 - 46*b + 12 = 0 for b.
-1, 1/4, 2/3, 3
What is k in 5*k**5 - 10*k**4 - 30*k**3 + 40*k**2 + 25*k - 30 = 0?
-2, -1, 1, 3
Find k, given that k**3 + 2*k**2 - 15*k - 36 = 0.
-3, 4
Find q, given that -60*q**5 + 4101*q**4 - 1395*q**3 - 2238*q**2 - 408*q = 0.
-2/5, -1/4, 0, 1, 68
What is b in -2*b**5/7 + 16*b**3/7 - 12*b**2/7 - 2*b + 12/7 = 0?
-3, -1, 1, 2
Factor p**3 - 27*p - 54.
(p - 6)*(p + 3)**2
Let -65*v**2/4 + 125*v/2 + 10 = 0. Calculate v.
-2/13, 4
Determine u so that -u**2/2 + 21*u - 405/2 = 0.
15, 27
Factor 9*h**3 + 33*h**2 + 36*h + 12.
3*(h + 1)*(h + 2)*(3*h + 2)
Let i**5/3 + 5*i**4 + 61*i**3/3 + 11*i**2 - 62*i/3 - 16 = 0. Calculate i.
-8, -6, -1, 1
Factor 3*k**4/2 + 9*k**3 + 27*k**2/2 + 6*k.
3*k*(k + 1)**2*(k + 4)/2
Factor -r**2/2 - 99*r/2 + 315.
-(r - 6)*(r + 105)/2
Suppose -4*y**2/7 - 60*y/7 - 8 = 0. What is y?
-14, -1
Factor 825*o**3/8 + 105*o**2/8 - 57*o/8 - 9/8.
3*(5*o + 1)**2*(11*o - 3)/8
Factor c**3 + 102*c**2 + 3360*c + 35200.
(c + 22)*(c + 40)**2
Determine z so that -z**2 + 4*z - 3 = 0.
1, 3
Find k, given that -k**2/6 - 128*k/3 - 8192/3 = 0.
-128
Find f such that -f**2/4 - 6*f - 95/4 = 0.
-19, -5
Factor 35*a**3 - 25*a