 1
Let -15*d**5/4 - 5*d**4/4 + 75*d**3/4 + 25*d**2/4 - 15*d - 5 = 0. What is d?
-2, -1, -1/3, 1, 2
Determine b, given that 3*b**2 + 12*b - 36 = 0.
-6, 2
Factor 2*v**2 + 12*v.
2*v*(v + 6)
Factor 25*x**3/3 - 80*x**2/3 + 5*x.
5*x*(x - 3)*(5*x - 1)/3
Let -2*w**3 + 19470*w**2 - 63180150*w + 68339862250 = 0. Calculate w.
3245
Factor 3*j**2 + 48*j - 51.
3*(j - 1)*(j + 17)
Determine s, given that 2*s**4 + 64*s**3 - 98*s**2 - 1096*s - 1320 = 0.
-33, -2, 5
What is u in u**2/3 + 31*u/3 + 10 = 0?
-30, -1
Solve -r**2/5 - 87*r/5 - 632/5 = 0.
-79, -8
Solve -4*k**2 - 256*k + 528 = 0 for k.
-66, 2
Suppose g**2/4 + 859*g + 737881 = 0. What is g?
-1718
Solve 2*f**4/5 - 24*f**3/5 + 14*f**2/5 + 48*f + 40 = 0 for f.
-2, -1, 5, 10
Factor -7*u**2 + 229*u + 66.
-(u - 33)*(7*u + 2)
Let -2*u**3/5 + 156*u**2/5 - 2706*u/5 - 13448/5 = 0. What is u?
-4, 41
Factor -f**2 - 1320*f + 1321.
-(f - 1)*(f + 1321)
Factor 2*p**4/13 - 14*p**3/13 + 30*p**2/13 - 2*p + 8/13.
2*(p - 4)*(p - 1)**3/13
Let -2*h**3 - 36*h**2 - 64*h = 0. What is h?
-16, -2, 0
Factor 4*m**3 + 56*m**2 + 240*m + 288.
4*(m + 2)*(m + 6)**2
Solve 3*h**2 + 78*h + 360 = 0 for h.
-20, -6
Let -5*h**5 + 9*h**4 + 38*h**3 + 24*h**2 = 0. What is h?
-6/5, -1, 0, 4
Suppose 2*z**2/11 - 236*z/11 - 238/11 = 0. Calculate z.
-1, 119
Factor 2*s**3/5 + 44*s**2/5 + 224*s/5.
2*s*(s + 8)*(s + 14)/5
Suppose 3*n**5 - 177*n**4 - 2664*n**3 - 10260*n**2 - 7776*n = 0. Calculate n.
-6, -1, 0, 72
Suppose -2*a**3/11 + 90*a**2/11 - 336*a/11 + 328/11 = 0. What is a?
2, 41
Let -3*k**5/4 - 17*k**4/4 - 5*k**3/2 = 0. Calculate k.
-5, -2/3, 0
Determine v, given that 46*v**2 + 1514*v - 132 = 0.
-33, 2/23
Suppose -5*k**5 - 5*k**4 + 15*k**3 + 5*k**2 - 10*k = 0. What is k?
-2, -1, 0, 1
Solve 9*d**3/8 - 15*d**2/2 + 87*d/8 + 9/2 = 0 for d.
-1/3, 3, 4
Solve 2*s**3/3 - 38*s**2/3 - 192*s + 672 = 0.
-12, 3, 28
Suppose 3*d**2/4 - 25*d/4 - 9/2 = 0. What is d?
-2/3, 9
What is a in a**5 + 5*a**4/3 + 2*a**3/3 = 0?
-1, -2/3, 0
Solve -8*i**5 + 1054*i**4/5 - 1352*i**3/5 + 38*i**2/5 + 60*i = 0.
-2/5, 0, 3/4, 1, 25
Factor -101*p**2 - 10*p.
-p*(101*p + 10)
Factor -21*v**4 + 25*v**3 + 34*v**2.
-v**2*(v - 2)*(21*v + 17)
Find i, given that 3*i**2/7 + 4740*i + 13106100 = 0.
-5530
Factor -2*y**4 - 12*y**3 - 18*y**2 - 8*y.
-2*y*(y + 1)**2*(y + 4)
Solve r**4 - 41*r**2 + 72*r + 112 = 0 for r.
-7, -1, 4
Let 5*n**5 - 55*n**4 - 430*n**3 + 2930*n**2 + 18425*n + 15125 = 0. What is n?
-5, -1, 11
Factor -o**5 + 10*o**4 - 31*o**3 + 26*o**2 + 28*o - 40.
-(o - 5)*(o - 2)**3*(o + 1)
Factor -2*h**2/13 + 1242*h/13 - 1240/13.
-2*(h - 620)*(h - 1)/13
Factor 2*v**5 - 40*v**4 + 102*v**3.
2*v**3*(v - 17)*(v - 3)
Suppose t**3/4 + t**2/4 - t/4 - 1/4 = 0. What is t?
-1, 1
What is n in -4*n**5/3 - 32*n**4/3 - 16*n**3 + 8*n**2/3 + 52*n/3 + 8 = 0?
-6, -1, 1
Let -3*v**3 + 183*v**2 - 1650*v = 0. Calculate v.
0, 11, 50
Factor -2*i**2/7 - 284*i/7 + 286/7.
-2*(i - 1)*(i + 143)/7
Determine h, given that -2*h**3/3 + 52*h**2/3 + 88*h - 240 = 0.
-6, 2, 30
Suppose p**2/4 + 54*p + 2916 = 0. Calculate p.
-108
Find o such that -2*o**3/3 - 4*o**2/3 - 2*o/3 = 0.
-1, 0
Suppose 3*q**4/5 - 36*q**3/5 - 21*q**2/5 + 234*q/5 + 216/5 = 0. Calculate q.
-2, -1, 3, 12
Let h**2 + 20*h + 36 = 0. What is h?
-18, -2
Factor o**5 + o**4 - o**3 - o**2.
o**2*(o - 1)*(o + 1)**2
Determine t, given that 5*t**3 - 170*t**2 + 1475*t - 2310 = 0.
2, 11, 21
Determine r, given that -r**5 + 61*r**4 - 835*r**3 - 2881*r**2 - 3008*r - 1024 = 0.
-1, 32
Factor -25*l**4/2 - 45*l**3 - 61*l**2/2 + 18*l - 2.
-(l + 2)**2*(5*l - 1)**2/2
Factor u**4/4 + 78*u**3 + 621*u**2/4 + 155*u/2.
u*(u + 1)**2*(u + 310)/4
Factor 5*z**5 + 235*z**4 + 3095*z**3 + 7925*z**2 + 7480*z + 2420.
5*(z + 1)**3*(z + 22)**2
Factor -15*g**3 - 13074*g**2 - 7839*g.
-3*g*(g + 871)*(5*g + 3)
Factor 9*m**2 + 22089*m + 7362.
3*(m + 2454)*(3*m + 1)
Factor 3*h**2/4 + 84*h + 333/4.
3*(h + 1)*(h + 111)/4
Factor 3*h**4 + 27*h**3 - 33*h**2 - 27*h + 30.
3*(h - 1)**2*(h + 1)*(h + 10)
Factor -6*w**2/5 + 87*w/5 - 42/5.
-3*(w - 14)*(2*w - 1)/5
Determine b, given that 6*b**5/5 + 26*b**4 - 92*b**3/5 - 9524*b**2/5 + 2526*b - 630 = 0.
-15, 1/3, 1, 7
Let 5*y**2 + 10*y - 75 = 0. What is y?
-5, 3
Factor -4*p**2/7 + 256/7.
-4*(p - 8)*(p + 8)/7
Let -3*v**4 + 192*v**3 - 360*v**2 - 768*v + 1488 = 0. What is v?
-2, 2, 62
Find m, given that -m**5/7 - 3*m**4/7 - 3*m**3/7 - m**2/7 = 0.
-1, 0
Solve 6*z**5 - 9*z**4 - 24*z**3 - 9*z**2 = 0 for z.
-1, -1/2, 0, 3
Let -l**3/3 - 1041*l**2 - 812240*l + 2439844/3 = 0. Calculate l.
-1562, 1
Factor -d**4/7 - 18*d**3/7 + 3*d**2/7 + 52*d/7 - 36/7.
-(d - 1)**2*(d + 2)*(d + 18)/7
Factor t**2/4 - 17*t/4 + 15/2.
(t - 15)*(t - 2)/4
Suppose -b**5/8 + 15*b**4/8 - 11*b**3/2 - 31*b**2/2 + 24*b + 32 = 0. Calculate b.
-2, -1, 2, 8
Factor 4*l**2 + 608*l + 604.
4*(l + 1)*(l + 151)
Factor a**5 + 2*a**4 - 3*a**3 - 4*a**2 + 4*a.
a*(a - 1)**2*(a + 2)**2
Let -4*p**4 - 3152*p**3 + 19020*p**2 - 28568*p + 12704 = 0. Calculate p.
-794, 1, 4
Solve -h**5/2 + 4*h**4 - 13*h**3/2 - 13*h**2 + 32*h - 16 = 0.
-2, 1, 4
Factor 841*m**2 + 116*m + 4.
(29*m + 2)**2
Factor 4*h**2 + 3908*h - 7832.
4*(h - 2)*(h + 979)
Factor q**2/2 + 145*q + 21025/2.
(q + 145)**2/2
Factor -2*r**4/7 + 2*r**3 - 20*r**2/7.
-2*r**2*(r - 5)*(r - 2)/7
Determine v so that 12*v**4 + 128*v**3 - 560*v**2/3 + 64*v = 0.
-12, 0, 2/3
Factor -35*d**2 - 95*d + 30.
-5*(d + 3)*(7*d - 2)
Let 4*p**4/7 + 40*p**3/7 + 80*p**2/7 - 40*p/7 - 12 = 0. Calculate p.
-7, -3, -1, 1
Factor 3*k**5 + 18*k**4 + 33*k**3 + 6*k**2 - 36*k - 24.
3*(k - 1)*(k + 1)*(k + 2)**3
Factor -2*m**5/5 - 442*m**4/5 - 24198*m**3/5 + 24642*m**2/5.
-2*m**2*(m - 1)*(m + 111)**2/5
Solve -2*k**3/3 + 8*k**2 - 34*k/3 - 20 = 0 for k.
-1, 3, 10
Let 2*i**5/3 + 472*i**4/3 + 28312*i**3/3 + 54284*i**2/3 - 9438*i - 18252 = 0. What is i?
-117, -2, -1, 1
Suppose -j**5/4 + 15*j**4/2 - 225*j**3/4 = 0. Calculate j.
0, 15
Factor 2*c**4 + 14*c**3 + 32*c**2 + 24*c.
2*c*(c + 2)**2*(c + 3)
Factor -2*s**3/5 - 4*s**2/5 + 14*s.
-2*s*(s - 5)*(s + 7)/5
Find z, given that -2*z**2/7 + 3656*z/7 - 1670792/7 = 0.
914
Suppose 4*c**4 - 20*c**3 - 52*c**2 - 28*c = 0. Calculate c.
-1, 0, 7
Solve -3*c**5/4 - 15*c**4/4 + 9*c**3/2 + 24*c**2 - 24*c = 0.
-4, 0, 1, 2
Let -3*n**2 - 606*n + 3105 = 0. What is n?
-207, 5
Factor 8*r**3 + 476*r**2 + 5948*r + 2856.
4*(r + 17)*(r + 42)*(2*r + 1)
Factor -5*m**3 + 90*m**2 - 235*m + 150.
-5*(m - 15)*(m - 2)*(m - 1)
Factor -4*w**5/5 - 8*w**4/5 - 4*w**3/5.
-4*w**3*(w + 1)**2/5
Let p**4/2 - 2*p**3 + 3*p**2 - 2*p + 1/2 = 0. Calculate p.
1
Suppose 3*x**3/5 + 24*x**2/5 - 93*x/5 + 66/5 = 0. Calculate x.
-11, 1, 2
Solve 56*x**2 - 908*x + 192 = 0.
3/14, 16
Factor 6*f**3/7 + 110*f**2/7 + 56*f - 312/7.
2*(f + 6)*(f + 13)*(3*f - 2)/7
Find r such that -2*r**3 - 2330*r**2 - 4654*r - 2326 = 0.
-1163, -1
Factor a**5 - 4*a**4 - a**3 + 4*a**2.
a**2*(a - 4)*(a - 1)*(a + 1)
Factor 2*d**2/3 - 648*d + 1942/3.
2*(d - 971)*(d - 1)/3
Factor -2*n**3/5 + 136*n**2/5 - 2312*n/5.
-2*n*(n - 34)**2/5
Let -v**4 + 5*v**3 + 42*v**2 + 76*v + 40 = 0. Calculate v.
-2, -1, 10
Suppose -r**5/3 + 2*r**4 - 4*r**3 + 8*r**2/3 = 0. Calculate r.
0, 2
Let -4*r**3 + 20*r**2 + 32*r - 192 = 0. What is r?
-3, 4
Factor 4*q**3 + 4*q**2 - 400*q - 400.
4*(q - 10)*(q + 1)*(q + 10)
Find i, given that 3*i**2 + 4203*i - 8418 = 0.
-1403, 2
Suppose -u**3 - 31*u**2 + 260*u - 228 = 0. Calculate u.
-38, 1, 6
Let 2*w**3 + 190*w**2 + 1084*w + 1424 = 0. Calculate w.
-89, -4, -2
Determine m so that 5*m**4 - 15*m**3 - 15*m**2 + 35*m + 30 = 0.
-1, 2, 3
Factor 5*x**3/3 + 5*x**2/3 - 5*x/3 - 5/3.
5*(x - 1)*(x + 1)**2/3
Let 3*a**2/2 + 27*a = 0. What is a?
-18, 0
Find j such that 77763*j**2 + 1932*j + 12 = 0.
-2/161
Factor -5*a**5 - 85*a**4 - 480*a**3 - 900*a**2.
-5*a**2*(a + 5)*(a + 6)**2
Factor -2*y**2 - 50*y/7 + 100/7.
-2*(y + 5)*(7*y - 10)/7
Let 3*o**3/7 - 1296*o**2/7 + 186624*o/7 - 8957952/7 = 0. What is o?
144
Factor -64*m**4/5 - 97136*m**3/5 - 72828*m**2/5 - 3641*m - 1517/5.
-(m + 1517)*(4*m + 1)**3/5
Factor 15*n**3 + 54*n**2 - 24*n.
3*n*(n + 4)*(5*n - 2)
What is b in 2*b**5/13 - 2*b**4/13 - 2*b**3/13 + 2*b**2/13 = 0?
-1, 0, 1
Solve n**5/2 - 5*n**4/2 + 4*n**3 - 2*n**2 = 0 for n.
0, 1, 2
Determine i so that -2*i**2/11 + 60*i/11 + 1350/11 = 0.
-15, 45
Factor 5*v**3 - 315*v**2 + 1480*v - 1740.
5*(v - 58)*(v - 3)*(v - 2)
Let 2*y**3/7 - 20*y**2/7 - 2*y/7 + 20/