 - 108/5.
3*(d - 12)*(d + 3)/5
Determine m, given that -3*m**3 + 1071*m**2 - 3192*m + 2124 = 0.
1, 2, 354
Factor -c**3 - 38*c**2/5 + 656*c/5 - 256/5.
-(c - 8)*(c + 16)*(5*c - 2)/5
Find r, given that r**4/3 + r**3/3 - 65*r**2/3 + 21*r = 0.
-9, 0, 1, 7
Factor -2*p**3/5 + 3476*p**2/5 - 1513792*p/5 + 3013696/5.
-2*(p - 868)**2*(p - 2)/5
Let -h**3/4 - 35*h**2/2 + 71*h/4 = 0. What is h?
-71, 0, 1
Factor -3*v**3/2 + 10*v**2 - 27*v/2 + 5.
-(v - 5)*(v - 1)*(3*v - 2)/2
Factor 4*u**3/3 + 16*u**2 + 164*u/3 + 40.
4*(u + 1)*(u + 5)*(u + 6)/3
Factor -3*l**4 + 6*l**3 - 3*l**2.
-3*l**2*(l - 1)**2
Factor -c**3 - 27*c**2 - 51*c - 25.
-(c + 1)**2*(c + 25)
Suppose 10*y**3/3 - 1196*y**2/3 + 11840*y + 4800 = 0. Calculate y.
-2/5, 60
Suppose -4*y**2 + 1820*y - 7216 = 0. What is y?
4, 451
Determine b so that 338*b**3/3 - 442*b**2/3 - 110*b + 150 = 0.
-1, 15/13
Determine h, given that -2*h**3/11 - 24*h**2/11 - 70*h/11 - 48/11 = 0.
-8, -3, -1
Solve 4*i**5 + 20*i**4 - 48*i**3 - 176*i**2 + 320*i = 0.
-5, -4, 0, 2
Determine g, given that g**3/5 - 21*g**2/5 + 147*g/5 - 343/5 = 0.
7
Find b such that -2*b**5/5 - 24*b**4/5 - 98*b**3/5 - 36*b**2 - 152*b/5 - 48/5 = 0.
-6, -2, -1
Let 3*k**4 + 9*k**3 - 18*k**2 - 24*k = 0. Calculate k.
-4, -1, 0, 2
Factor 3*j**2 - 11391*j + 11388.
3*(j - 3796)*(j - 1)
Find k such that 2*k**2 - 7376*k + 6800672 = 0.
1844
Factor -2*j**3/7 - 86*j**2/7 - 12*j.
-2*j*(j + 1)*(j + 42)/7
Determine x, given that 6241*x**2 + 316*x + 4 = 0.
-2/79
Let 5*n**3 + 1045*n**2 + 4115*n + 3075 = 0. What is n?
-205, -3, -1
Factor -3*v**3/4 - 21*v**2/4 + 42*v + 99.
-3*(v - 6)*(v + 2)*(v + 11)/4
Find m such that -2*m**2/7 - 116*m/7 + 118/7 = 0.
-59, 1
Suppose 45*i**5/2 - 3*i**4/2 - 39*i**3 - 3*i**2 + 33*i/2 + 9/2 = 0. Calculate i.
-1, -3/5, -1/3, 1
Factor l**4 + 25*l**3 + 24*l**2.
l**2*(l + 1)*(l + 24)
Factor v**4 - 7*v**3 + 8*v**2 + 16*v.
v*(v - 4)**2*(v + 1)
Factor -3*m**5 + 6*m**3 - 3*m.
-3*m*(m - 1)**2*(m + 1)**2
Factor -4*y**5 + 72*y**4 - 336*y**3 + 616*y**2 - 492*y + 144.
-4*(y - 12)*(y - 3)*(y - 1)**3
Let 2*v**2 + 156*v + 592 = 0. What is v?
-74, -4
Find l, given that -4*l**4 + 80*l**3 - 384*l**2 - 320*l + 1600 = 0.
-2, 2, 10
Solve -4*j**3 + 13*j**2 - 11*j + 2 = 0.
1/4, 1, 2
What is m in -2*m**2/3 + 4*m + 182/3 = 0?
-7, 13
Factor 3*x**4/4 + 63*x**3/4 - 105*x**2/2 + 36*x.
3*x*(x - 2)*(x - 1)*(x + 24)/4
Suppose 5*j**4/2 - 5*j**3/2 - 95*j**2/2 + 245*j/2 - 75 = 0. What is j?
-5, 1, 2, 3
Let o**3/5 - 9*o**2/5 + 8*o/5 = 0. What is o?
0, 1, 8
Factor 2*l**2 - 2036*l + 518162.
2*(l - 509)**2
Determine f so that 15*f**4/2 + 415*f**3/2 + 245*f**2/2 - 675*f/2 = 0.
-27, -5/3, 0, 1
Determine y, given that 5*y**4 + 25*y**3 - 30*y**2 = 0.
-6, 0, 1
Find f such that f**2/2 + 19*f/2 = 0.
-19, 0
Factor 2*p**4 + 4*p**3 - 8*p**2 - 16*p.
2*p*(p - 2)*(p + 2)**2
Suppose 3*x**4 + 33*x**3 - 663*x**2 - 693*x = 0. What is x?
-21, -1, 0, 11
Let -n**5/3 + 20*n**4/3 - 116*n**3/3 + 142*n**2/3 + 39*n - 54 = 0. Calculate n.
-1, 1, 2, 9
Let -2*p**5/19 - 122*p**4/19 - 2472*p**3/19 - 16312*p**2/19 + 9920*p/19 + 67200/19 = 0. Calculate p.
-21, -20, -2, 2
Solve 5*f**3/4 + 1795*f**2/2 - 7195*f/4 + 900 = 0.
-720, 1
Factor 33*r**3 + 306*r**2 - 240*r.
3*r*(r + 10)*(11*r - 8)
Determine t so that 2*t**4/9 + 4*t**3/9 - 2*t**2/9 - 4*t/9 = 0.
-2, -1, 0, 1
Factor -m**2/6 + 65*m/2 - 193/3.
-(m - 193)*(m - 2)/6
What is u in 2*u**4/3 - 158*u**3/9 + 52*u**2 - 56*u/3 - 368/9 = 0?
-2/3, 2, 23
Suppose 15*t**3 - 144*t**2 + 315*t + 150 = 0. What is t?
-2/5, 5
Factor 4*b**2 + 148*b + 144.
4*(b + 1)*(b + 36)
Let -4*a**2 - 3672*a - 842724 = 0. What is a?
-459
Let 2*j**3 + 40*j**2 - 46*j - 84 = 0. Calculate j.
-21, -1, 2
Find t such that 9*t**4 + 31*t**3 + 39*t**2 + 21*t + 4 = 0.
-1, -4/9
Factor 4*c**3/5 - 12*c**2/5 + 16/5.
4*(c - 2)**2*(c + 1)/5
Determine u, given that 2*u**2/15 - 36*u/5 - 22/3 = 0.
-1, 55
Let 480*v**5 - 13496*v**4 + 95572*v**3 - 8856*v**2 - 14672*v - 1568 = 0. Calculate v.
-1/4, -2/15, 1/2, 14
Factor -m**4/2 - m**3/2 + 3*m**2/2 + m/2 - 1.
-(m - 1)**2*(m + 1)*(m + 2)/2
What is x in -3*x**4/2 - 315*x**3 - 32439*x**2/2 + 33390*x - 16854 = 0?
-106, 1
Factor -3*l**3 - 21*l**2 + 51*l - 27.
-3*(l - 1)**2*(l + 9)
Factor -2*d**3 - 10*d**2 - 14*d - 6.
-2*(d + 1)**2*(d + 3)
Solve r**2 + 142*r - 143 = 0.
-143, 1
Factor 15*z**4 + 114*z**3 - 48*z**2.
3*z**2*(z + 8)*(5*z - 2)
Factor 3*w**2/5 - 4347*w/5 + 4344/5.
3*(w - 1448)*(w - 1)/5
Solve 7*a**3/4 + 295*a**2/4 + 3129*a/4 + 441/4 = 0 for a.
-21, -1/7
What is p in 3*p**2/4 + 4221*p/4 + 2109/2 = 0?
-1406, -1
Factor -2*d**3/7 - 6*d**2 - 232*d/7 - 192/7.
-2*(d + 1)*(d + 8)*(d + 12)/7
Factor 2*w**2/3 - 22*w/3 + 20.
2*(w - 6)*(w - 5)/3
Let w**4/3 + 3*w**3 - 16*w**2 - 448*w/3 = 0. Calculate w.
-8, 0, 7
What is y in -y**4/2 - 851*y**3/2 - 120558*y**2 - 11332168*y + 11453152 = 0?
-284, 1
Find i, given that 5*i**5 - 2565*i**4 + 332770*i**3 - 972810*i**2 - 332775*i + 975375 = 0.
-1, 1, 3, 255
Solve -2*z**2/3 + 424*z/3 - 22472/3 = 0 for z.
106
Suppose -24*m**5 + 165*m**3/2 - 165*m**2/4 - 99*m/4 + 15/2 = 0. Calculate m.
-2, -1/2, 1/4, 1, 5/4
Let p**3/11 - 5*p**2/11 - 8*p/11 + 12/11 = 0. What is p?
-2, 1, 6
What is d in 2*d**4 + 8*d**3 - 2*d**2 - 8*d = 0?
-4, -1, 0, 1
Find w such that -25*w**4/4 + 155*w**3 - 1021*w**2 + 744*w - 144 = 0.
2/5, 12
Factor 2*l**3 + 88*l**2 + 1050*l + 1764.
2*(l + 2)*(l + 21)**2
Factor -4*c**3 + 1652*c**2 - 171392*c + 169744.
-4*(c - 206)**2*(c - 1)
Find p such that 3*p**5 - 36*p**4 + 30*p**3 + 36*p**2 - 33*p = 0.
-1, 0, 1, 11
Factor 2*i**2/3 + 116*i/3 + 1682/3.
2*(i + 29)**2/3
Factor -5*w**3 + 910*w**2 + 1840*w.
-5*w*(w - 184)*(w + 2)
Factor 18*o**3/5 + 32*o**2/5 - 8*o/5.
2*o*(o + 2)*(9*o - 2)/5
Solve -2*n**4/3 + 2*n**3 + 4*n**2/3 - 8*n + 16/3 = 0 for n.
-2, 1, 2
Find g, given that 2*g**4/3 - 8*g**3 + 58*g**2/3 - 12*g = 0.
0, 1, 2, 9
Factor i**4 - 3*i**3 - 2*i**2 + 12*i - 8.
(i - 2)**2*(i - 1)*(i + 2)
Suppose 25*n**2 - 205*n - 180 = 0. What is n?
-4/5, 9
Let i**2/4 - 9*i/2 - 10 = 0. What is i?
-2, 20
Factor -3*k**3/7 - 237*k**2/7 - 4797*k/7 - 4563/7.
-3*(k + 1)*(k + 39)**2/7
Determine i so that 2*i**2/5 - 4*i + 18/5 = 0.
1, 9
Solve 4*l**4 - 4*l**3 - 36*l**2 + 36*l = 0 for l.
-3, 0, 1, 3
Solve -r**5 - 3*r**4 + 18*r**3 + 86*r**2 + 111*r + 45 = 0.
-3, -1, 5
Factor -130*q**2 + 1165*q + 45.
-5*(q - 9)*(26*q + 1)
Factor n**3/7 - 73*n**2/7 + 1368*n/7 - 1296/7.
(n - 36)**2*(n - 1)/7
Suppose -3*s**3 - 126*s**2 + 129*s = 0. Calculate s.
-43, 0, 1
Find k, given that -k**4 - 8*k**3 - 22*k**2 - 24*k - 9 = 0.
-3, -1
Find v, given that -4*v**4 - 480*v**3 + 1464*v**2 - 1472*v + 492 = 0.
-123, 1
Suppose p**3/2 - 5*p**2 + 8*p = 0. What is p?
0, 2, 8
Factor -5*w**2/8 + 13*w/4 + 3.
-(w - 6)*(5*w + 4)/8
Factor 5*y**2 + 325*y + 320.
5*(y + 1)*(y + 64)
Factor -w**2 - 3180*w - 2528100.
-(w + 1590)**2
Find l, given that 4*l**4 - 472*l**3 + 11908*l**2 + 118944*l + 254016 = 0.
-4, 63
Factor -2*a**2/17 - 120*a/17 - 1800/17.
-2*(a + 30)**2/17
Find u, given that -3*u**3 - 179*u**2 - 622*u - 336 = 0.
-56, -3, -2/3
Let -3*w**2 + 72*w - 132 = 0. What is w?
2, 22
Factor -b**2/5 + 7*b/5 - 2.
-(b - 5)*(b - 2)/5
Factor 2*p**2/5 + 18*p/5 + 16/5.
2*(p + 1)*(p + 8)/5
Determine g so that -21*g**5/2 - 55*g**4/2 + 413*g**3/2 - 109*g**2/2 - 96*g - 18 = 0.
-6, -1/3, -2/7, 1, 3
Find t such that -8*t**5 + 188*t**4 - 1056*t**3 - 576*t**2 = 0.
-1/2, 0, 12
Factor 15*l**3/2 + 65*l**2/2 - 75*l.
5*l*(l + 6)*(3*l - 5)/2
Find f, given that -4*f**4/3 - 56*f**3/3 - 196*f**2/3 = 0.
-7, 0
Solve -5*r**4 + 2540*r**3 - 483870*r**2 + 40967660*r - 1300723205 = 0 for r.
127
Let 3*u**2 - 36*u = 0. Calculate u.
0, 12
Factor 13*j**3/6 - 7*j**2/6 - j.
j*(j - 1)*(13*j + 6)/6
Let -2*z**2 + 392*z - 776 = 0. Calculate z.
2, 194
Factor -c**2/6 + 6253*c/3 - 39100009/6.
-(c - 6253)**2/6
Suppose r**3/2 + 9*r**2/2 + 23*r/2 + 15/2 = 0. Calculate r.
-5, -3, -1
Solve -f**2/5 - 211*f/5 + 426/5 = 0.
-213, 2
Solve 4*w**3 + 56*w**2 + 260*w + 400 = 0 for w.
-5, -4
Suppose 15*r**5 - 155*r**4 + 495*r**3 - 705*r**2 + 470*r - 120 = 0. Calculate r.
1, 4/3, 6
Determine i, given that 14*i**5/5 + 676*i**4/5 + 5932*i**3/5 - 55816*i**2/5 + 34614*i/5 + 2916 = 0.
-27, -2/7, 1, 5
Let 5*i**2 + 8470*i + 3587045 = 0. What is i?
-847
Factor 3*w**3 + 15*w**2 - 96*w + 108.
3*(w - 2)**2*(w + 9)
Factor -h**2/4 - 7*h/4 - 3/2.
-(h + 1)*(h + 6)/4
Factor r**2 