s + 48)/2
Factor -2*n**2 - 86*n - 444.
-2*(n + 6)*(n + 37)
Factor -z**2 - 8*z + 9.
-(z - 1)*(z + 9)
Suppose -3*h**2/5 - 84*h + 423/5 = 0. Calculate h.
-141, 1
Let -4*v**2/5 - 2*v + 14/5 = 0. Calculate v.
-7/2, 1
Factor 3*g**4/5 + 16*g**3/5 + 17*g**2/5 + 4*g/5.
g*(g + 1)*(g + 4)*(3*g + 1)/5
Factor 5*d**4 - 505*d**3 + 500*d**2.
5*d**2*(d - 100)*(d - 1)
Let 5*m**4/3 - 145*m**3/3 = 0. Calculate m.
0, 29
Factor m**3 + 2*m**2 - 11*m - 12.
(m - 3)*(m + 1)*(m + 4)
Factor -10*j**3 - 56*j**2/3 + 8*j/3.
-2*j*(j + 2)*(15*j - 2)/3
Suppose 529*t**3/2 + 46*t**2 + 2*t = 0. What is t?
-2/23, 0
Factor -3*f**4 + 15*f**3 + 51*f**2 - 63*f.
-3*f*(f - 7)*(f - 1)*(f + 3)
Factor 11*p**4 + 68*p**3 + 133*p**2/11 + 6*p/11.
p*(p + 6)*(11*p + 1)**2/11
Factor -5*l**3 - 80*l**2 - 245*l + 330.
-5*(l - 1)*(l + 6)*(l + 11)
Determine r so that 2*r**4/11 - 58*r**3/11 + 516*r**2/11 - 1432*r/11 + 112 = 0.
2, 11, 14
Determine m so that -m**4 + 12*m**3 - 32*m**2 = 0.
0, 4, 8
Factor -4*i**2 - 60712*i - 230371684.
-4*(i + 7589)**2
Factor -4*m**2 - 3076*m - 3072.
-4*(m + 1)*(m + 768)
Suppose 2*i**5/3 + 2*i**4/3 - 26*i**3/3 - 26*i**2/3 + 24*i + 24 = 0. Calculate i.
-3, -2, -1, 2, 3
Factor o**2/6 + 2*o + 9/2.
(o + 3)*(o + 9)/6
Determine w so that -w**5/5 + 17*w**4/5 - 48*w**3/5 - 648*w**2/5 + 4752*w/5 - 9072/5 = 0.
-7, 6
Let -3*j**3/7 - 3*j**2 + 123*j/7 - 99/7 = 0. Calculate j.
-11, 1, 3
Factor 3*a**4/2 + 30*a**3 - 129*a**2/2 + 33*a.
3*a*(a - 1)**2*(a + 22)/2
Find d, given that 95*d**3 - 55*d**2 - 230*d - 80 = 0.
-1, -8/19, 2
Find o, given that 4*o**4 + 56*o**3 - 196*o**2 + 136*o = 0.
-17, 0, 1, 2
Find i such that 3*i**2 + 30*i + 27 = 0.
-9, -1
Determine w, given that -w**3/2 - 28*w**2 + 175*w/2 - 59 = 0.
-59, 1, 2
What is i in -3*i**3 + 8451*i**2 - 7935489*i + 2483808057 = 0?
939
Factor -2*j**2 - 152*j - 2888.
-2*(j + 38)**2
Factor -2*z**2/17 + 16*z/17 - 30/17.
-2*(z - 5)*(z - 3)/17
Factor -n**2 - 32*n - 31.
-(n + 1)*(n + 31)
Factor -3*n**2 - 69*n + 5022.
-3*(n - 31)*(n + 54)
Factor -20*w**3/3 + 103*w**2/3 - 45*w + 6.
-(w - 3)*(w - 2)*(20*w - 3)/3
Find k such that 3*k**3/7 - 12*k**2 + 156*k/7 = 0.
0, 2, 26
Factor 9*k**2 - 129*k - 138.
3*(k + 1)*(3*k - 46)
Factor s**5/9 + 2*s**4/9 - 4*s**3/9 - 8*s**2/9.
s**2*(s - 2)*(s + 2)**2/9
What is a in -a**2 + 404*a - 40804 = 0?
202
Find p, given that -4*p**3 + 20*p**2 + 500*p + 1500 = 0.
-5, 15
Factor -4*d**2/3 + 68*d/3 - 208/3.
-4*(d - 13)*(d - 4)/3
Factor 5*k**2 - 105*k + 450.
5*(k - 15)*(k - 6)
Factor 2*o**4/11 + 4*o**3/11 - 42*o**2/11 + 36*o/11.
2*o*(o - 3)*(o - 1)*(o + 6)/11
Let 5*u**2/4 - 4*u + 3/4 = 0. What is u?
1/5, 3
Suppose 4*f**3 + 4*f**2 - 64*f + 80 = 0. What is f?
-5, 2
Factor -2*n**2/19 + 694*n/19 + 696/19.
-2*(n - 348)*(n + 1)/19
Factor o**4/3 - 6*o**2 + 32*o/3 - 5.
(o - 3)*(o - 1)**2*(o + 5)/3
Find y such that 5*y**3 + 4560*y**2 + 4545*y - 9110 = 0.
-911, -2, 1
Factor 64*n**3/3 + 400*n**2/3 + 97*n/3 + 2.
(n + 6)*(8*n + 1)**2/3
Solve 4*b**3 + 68*b**2 - 320*b + 336 = 0.
-21, 2
Factor -4*d**2 + 152*d - 1444.
-4*(d - 19)**2
Factor -x**2 - 71*x + 810.
-(x - 10)*(x + 81)
Solve -5*c**2 - 65*c + 1150 = 0.
-23, 10
What is p in 3*p**3 + 123*p**2 - 1128*p + 2352 = 0?
-49, 4
Determine r so that 3*r**5/4 - 6*r**4 + 93*r**2/2 - 291*r/4 + 63/2 = 0.
-3, 1, 2, 7
Determine q so that 3*q**5 + 48*q**4 + 207*q**3 + 258*q**2 - 156*q - 360 = 0.
-10, -3, -2, 1
Suppose 2*p**4/13 + 46*p**3/13 + 278*p**2/13 + 18*p = 0. What is p?
-13, -9, -1, 0
Factor -a**3/2 - 9*a**2 - 17*a/2.
-a*(a + 1)*(a + 17)/2
Determine v, given that -4*v**5 + 36*v**4 - 432*v**2 = 0.
-3, 0, 6
Let 3*p**3 - 6*p**2 + 3*p = 0. Calculate p.
0, 1
Factor -5*t**4 + 75*t**3 + 255*t**2 + 265*t + 90.
-5*(t - 18)*(t + 1)**3
Determine q, given that 2*q**3/7 - 258*q**2/7 - 522*q/7 - 262/7 = 0.
-1, 131
Find n, given that -15*n**4 - 10*n**3 + 20*n**2 + 10*n - 5 = 0.
-1, 1/3, 1
Determine r so that 3*r**4 + 18*r**3 - 111*r**2 + 90*r = 0.
-10, 0, 1, 3
Suppose 3*j**4 - 612*j**3 + 28593*j**2 + 275388*j - 303372 = 0. What is j?
-9, 1, 106
Suppose y**2/4 - 77*y/4 + 75/2 = 0. What is y?
2, 75
Let 5*t**3 + 170*t**2 + 1645*t + 4900 = 0. Calculate t.
-20, -7
Let -g**3/6 - 17*g**2/6 - 25*g/2 - 33/2 = 0. Calculate g.
-11, -3
Factor 3*t**3/5 - 486*t**2/5 + 3744*t/5 - 7392/5.
3*(t - 154)*(t - 4)**2/5
Solve -h**2 + 3*h + 4 = 0 for h.
-1, 4
Determine h, given that 2*h**5/9 - 356*h**4/9 + 15116*h**3/9 + 64432*h**2/9 + 82082*h/9 + 33124/9 = 0.
-2, -1, 91
Solve 5*j**2 + 55*j + 150 = 0.
-6, -5
Factor f**2 + 82*f - 83.
(f - 1)*(f + 83)
Solve 4*f**2/3 - 136*f/3 + 1156/3 = 0 for f.
17
Let -2*s**5/9 + 76*s**4/9 - 106*s**3/9 - 1312*s**2/9 - 664*s/3 - 96 = 0. Calculate s.
-2, -1, 6, 36
Suppose -5*u**2 - 8600*u - 8595 = 0. Calculate u.
-1719, -1
Factor 34*l**2 + 38*l + 4.
2*(l + 1)*(17*l + 2)
Factor -2*u**4 + 32*u**3 - 30*u**2 - 1000*u + 1000.
-2*(u - 10)**2*(u - 1)*(u + 5)
Suppose 5*o**2 - 780*o + 30420 = 0. Calculate o.
78
Find x, given that -75*x**4 - 630*x**3 + 3357*x**2 + 1416*x + 144 = 0.
-12, -1/5, 4
Factor -d**4/8 + 49*d**3/8 - 23*d**2/4 - 12*d.
-d*(d - 48)*(d - 2)*(d + 1)/8
Determine j so that -8*j**3/17 - 3506*j**2/17 - 384564*j/17 - 95922/17 = 0.
-219, -1/4
Let -g**3 - 12317*g**2 - 37920963*g + 37933281 = 0. Calculate g.
-6159, 1
What is f in 3*f**5 - 51*f**4 + 165*f**3 - 117*f**2 = 0?
0, 1, 3, 13
Solve -n**5 + 2*n**4 + 15*n**3 + 4*n**2 - 20*n = 0.
-2, 0, 1, 5
Find s such that 338*s**5/11 + 1924*s**4/11 + 282*s**3 + 932*s**2/11 - 536*s/11 + 48/11 = 0.
-3, -2, -1, 2/13
Determine v so that -3*v**4 - 30*v**3 - 96*v**2 - 114*v - 45 = 0.
-5, -3, -1
Solve 2*q**2 + 14*q + 20 = 0 for q.
-5, -2
Find g, given that 176*g**5 + 351*g**4 - 1240*g**3 + 699*g**2 + 38*g - 24 = 0.
-4, -2/11, 3/16, 1
Determine r, given that 2*r**4/11 - 68*r**3/11 + 6*r**2 = 0.
0, 1, 33
What is p in -p**2/6 - 72*p - 7776 = 0?
-216
Factor -y**2 + 272*y + 548.
-(y - 274)*(y + 2)
What is y in -25*y**5 + 35*y**4 + 15*y**3 - 35*y**2 + 10*y = 0?
-1, 0, 2/5, 1
Determine f so that -2*f**4/7 - 52*f**3/7 + 122*f**2 - 2168*f/7 + 1368/7 = 0.
-38, 1, 2, 9
Find o, given that o**3/5 + 2*o**2/5 - 3*o/5 = 0.
-3, 0, 1
Factor 2*g**4/5 + 22*g**3/5 - 28*g**2/5 - 48*g/5.
2*g*(g - 2)*(g + 1)*(g + 12)/5
Find k such that -4*k**3 - 456*k**2 - 1772*k - 1320 = 0.
-110, -3, -1
Factor 5*c**5 + 65*c**4 + 95*c**3 - 725*c**2 + 880*c - 320.
5*(c - 1)**3*(c + 8)**2
Solve 3*c**3 - 48*c**2 + 192*c = 0.
0, 8
Factor 5*z**3 - 10*z**2 - 25*z + 30.
5*(z - 3)*(z - 1)*(z + 2)
Factor -5*r**2 + 3785*r - 3780.
-5*(r - 756)*(r - 1)
Let u**3/4 + 33*u**2 + 248*u = 0. What is u?
-124, -8, 0
Factor j**4/3 - j**3/3.
j**3*(j - 1)/3
Find t, given that 5*t**5 + 575*t**4 + 25200*t**3 + 509600*t**2 + 4390400*t + 9219840 = 0.
-28, -3
Determine f so that 32*f**5/5 + 36*f**4/5 + 4*f**3/5 = 0.
-1, -1/8, 0
Find u, given that -u**3 + 140*u**2 - 276*u = 0.
0, 2, 138
Find c such that -2*c**2/17 + 382*c/17 - 756/17 = 0.
2, 189
Factor -648*m**3 + 646*m**2 + 2*m.
-2*m*(m - 1)*(324*m + 1)
Factor 4*y**5 + 8*y**4 - 8*y**2 - 4*y.
4*y*(y - 1)*(y + 1)**3
Determine k, given that 3*k**4 - 33*k**3 + 69*k**2 + 33*k - 72 = 0.
-1, 1, 3, 8
Solve -41*v**4/5 - 408*v**3/5 - 636*v**2/5 + 32*v/5 = 0.
-8, -2, 0, 2/41
Suppose 5*b**2 - 45*b + 70 = 0. Calculate b.
2, 7
Find c, given that 2*c**3 - 8*c**2 - 56*c - 64 = 0.
-2, 8
Factor -78*k**2/7 + 4*k/7.
-2*k*(39*k - 2)/7
Factor 4*v**3 - 228*v**2 + 3132*v + 3364.
4*(v - 29)**2*(v + 1)
Factor -b**3/9 + 2*b**2/9 + 29*b/9 - 10/3.
-(b - 6)*(b - 1)*(b + 5)/9
Find h, given that 2*h**5 + 8*h**4 - 16*h**3 - 28*h**2 + 14*h + 20 = 0.
-5, -1, 1, 2
Factor -2*j**5 - 12*j**4 + 116*j**3 + 400*j**2 + 414*j + 140.
-2*(j - 7)*(j + 1)**3*(j + 10)
Factor 2*y**3 - 2038*y**2.
2*y**2*(y - 1019)
Let 4*u**4/7 + 10*u**3/7 - 40*u**2/7 - 10*u/7 + 36/7 = 0. What is u?
-9/2, -1, 1, 2
Let -44*u**2 - 376*u - 192 = 0. What is u?
-8, -6/11
Find v, given that -5*v**3 - 45*v**2 - 135*v - 135 = 0.
-3
Find b, given that b**3/2 - 23*b**2/2 + 86*b - 210 = 0.
6, 7, 10
Find v such that -2*v**3/3 + 88*v**2 = 0.
0, 132
Find l, given that 3*l**3 - 87*l**2 - 1275*l + 39375 = 0.
-21, 25
Factor -2*r**3/5 + 48*r**2/5 + 302*r/5 - 348/5.
-2*(r - 29)*(r - 1)*(r + 6)/5
Factor 2*r**3/7 + 2*r**2/7 - 6*r - 90/7.
2*(r - 5)*(r + 3)**2/7
Factor -2*i**2 + 60*i - 450.
-2*(i - 15)**2
Factor r**2 - 6006*r + 9018009.
(r - 3003)**2
Factor 3*t**2 - 165*t 