p + 1520.
2*(p + 5)*(p + 152)
Let -3*j**5 + 18*j**4 + 48*j**3 - 162*j**2 - 189*j = 0. What is j?
-3, -1, 0, 3, 7
Determine x so that x**4/2 - 31*x**3/2 - 59*x**2 + 278*x - 204 = 0.
-6, 1, 2, 34
Let r**5 + 22*r**4 + 16*r**3 - 102*r**2 + 63*r = 0. What is r?
-21, -3, 0, 1
Factor c**4/4 + 23*c**3/2 + 373*c**2/4 - 897*c + 1521.
(c - 3)**2*(c + 26)**2/4
Factor 2*h**2/9 + 2064*h + 4792608.
2*(h + 4644)**2/9
Factor 2*h**2/7 - 656*h/7 - 1320/7.
2*(h - 330)*(h + 2)/7
Factor 2*w**2/11 + 98*w/11 + 276/11.
2*(w + 3)*(w + 46)/11
What is j in -2*j**5 - 6*j**4 + 4*j**3 + 12*j**2 - 2*j - 6 = 0?
-3, -1, 1
Factor -z**5 + 7*z**4 + 3*z**3 - 23*z**2 + 14*z.
-z*(z - 7)*(z - 1)**2*(z + 2)
Factor 3*l**2/7 - 60*l/7 + 300/7.
3*(l - 10)**2/7
Determine u so that -15*u**5 - 25*u**4 + 40*u**3/3 + 80*u**2/3 = 0.
-4/3, 0, 1
Factor 2*j**2/11 + 18*j - 200/11.
2*(j - 1)*(j + 100)/11
Factor 2*i**3/13 - 8*i**2/13 + 6*i/13.
2*i*(i - 3)*(i - 1)/13
Factor 4*d**2/9 + 116*d/9 + 104/3.
4*(d + 3)*(d + 26)/9
Factor 2*s**3/15 + 2*s**2/15 - 16*s/15 - 8/5.
2*(s - 3)*(s + 2)**2/15
Let -2*m**3 + 584*m**2 - 582*m = 0. Calculate m.
0, 1, 291
Determine g so that -3*g**4/8 + 3*g**3 + 519*g**2/4 - 3*g - 1035/8 = 0.
-15, -1, 1, 23
Determine m, given that -3*m**3/2 + 1995*m**2/2 + 1002*m - 1998 = 0.
-2, 1, 666
Factor b**2/5 - 81*b + 806/5.
(b - 403)*(b - 2)/5
Factor t**3/2 + 61*t**2 + 3721*t/2.
t*(t + 61)**2/2
Factor -3*m**3 - 36*m**2 + 93*m + 126.
-3*(m - 3)*(m + 1)*(m + 14)
Factor -50*d**3/7 - 370*d**2/7 + 688*d/7 - 288/7.
-2*(d + 9)*(5*d - 4)**2/7
Solve r**5/6 + 7*r**4/3 + 35*r**3/6 + 11*r**2/3 = 0 for r.
-11, -2, -1, 0
Suppose -k**4/6 + 3*k**3 + 20*k**2/3 = 0. What is k?
-2, 0, 20
Factor 3*c**3/7 + 1464*c**2/7 - 1467*c/7.
3*c*(c - 1)*(c + 489)/7
Factor 50*n**3 - 170*n**2 + 192*n - 72.
2*(n - 1)*(5*n - 6)**2
Suppose 3*o**2 - 24*o - 384 = 0. Calculate o.
-8, 16
Factor -4*g**2 - 2040*g - 260100.
-4*(g + 255)**2
What is f in -5*f**4 + 40*f**3 - 110*f**2 + 120*f - 45 = 0?
1, 3
Factor d**3/2 - 439*d**2/2 - 884*d - 886.
(d - 443)*(d + 2)**2/2
Factor 4*a**2 + 2144*a + 287296.
4*(a + 268)**2
Factor 5*k**2 + 9970*k + 4970045.
5*(k + 997)**2
Suppose -c**3/4 - 39*c**2/4 - 115*c/2 - 48 = 0. What is c?
-32, -6, -1
Factor 2*i**2/5 + 142*i/5.
2*i*(i + 71)/5
Solve 5*d**2 + 635*d - 1290 = 0 for d.
-129, 2
Solve k**2/2 + 171*k/2 - 350 = 0.
-175, 4
Let 2*b**3/9 + 4*b**2/9 - 62*b/9 + 56/9 = 0. What is b?
-7, 1, 4
Determine b, given that b**5 + 2*b**4 - 14*b**3 + 8*b**2 + 13*b - 10 = 0.
-5, -1, 1, 2
Find m, given that m**5 + 21*m**4/4 + 33*m**3/4 + 19*m**2/4 + 3*m/4 = 0.
-3, -1, -1/4, 0
Suppose -2*j**3/13 - 196*j**2/13 - 5336*j/13 - 25392/13 = 0. What is j?
-46, -6
Factor -5*r**2 + 285*r + 290.
-5*(r - 58)*(r + 1)
Find q such that -15*q**5/2 - 49*q**4 + 321*q**3/2 - 56*q**2 - 18*q = 0.
-9, -1/5, 0, 2/3, 2
Find v, given that 2*v**5/5 + 4*v**4/5 - 4*v**2/5 - 2*v/5 = 0.
-1, 0, 1
Factor -5*b**3 - 67*b**2 - 23*b + 39.
-(b + 1)*(b + 13)*(5*b - 3)
What is g in 2*g**2/7 - 2244*g/7 + 640 = 0?
2, 1120
Solve 648*s**4 + 12231*s**3 + 76437*s**2 + 154869*s - 20577 = 0.
-19/3, 1/8
Find m, given that 4*m**2 - 400*m = 0.
0, 100
Solve -5*i**3 - 50*i**2 - 80*i = 0.
-8, -2, 0
Factor -5*v**2 - 50*v + 55.
-5*(v - 1)*(v + 11)
Factor 5*o**2 + 12192*o + 4876.
(o + 2438)*(5*o + 2)
Factor m**4/6 + 7*m**3/6 - 23*m**2/2 + 113*m/6 - 26/3.
(m - 4)*(m - 1)**2*(m + 13)/6
Let -12*c**4 + 44*c**3 + 508*c**2 + 596*c + 144 = 0. What is c?
-4, -1, -1/3, 9
Solve -8*w**5/7 + 24*w**4/7 + 6*w**3/7 - 16*w**2/7 - 6*w/7 = 0.
-1/2, 0, 1, 3
Suppose -228488*j**4 - 394446*j**3 + 123676*j**2 - 2760*j + 16 = 0. Calculate j.
-2, 2/169, 1/4
Suppose -2*h**2 - 90*h + 288 = 0. What is h?
-48, 3
Determine w so that -4*w**4/7 - 60*w**3/7 - 212*w**2/7 - 12*w + 360/7 = 0.
-10, -3, 1
What is u in 22*u**2 - 326*u/5 - 12/5 = 0?
-2/55, 3
Let -3*m**4 + 33*m**3 + 270*m**2 + 588*m + 408 = 0. What is m?
-2, 17
Find p such that p**2/4 + 27*p/4 - 185/2 = 0.
-37, 10
Factor -25*t**5 + 560*t**4 - 3245*t**3 + 1210*t**2.
-5*t**2*(t - 11)**2*(5*t - 2)
Factor q**4 + 237*q**3 + 18954*q**2 + 529308*q + 1423656.
(q + 3)*(q + 78)**3
Factor 2*n**2 + 1766*n - 1768.
2*(n - 1)*(n + 884)
Suppose 4*v**4/7 - 76*v**3/7 - 12*v**2 + 76*v/7 + 80/7 = 0. Calculate v.
-1, 1, 20
Solve 9*d**5 + 48*d**4 + 45*d**3 - 90*d**2 - 84*d + 72 = 0 for d.
-3, -2, 2/3, 1
Let 4*d**4 + 25*d**3/2 - 139*d**2/2 + 12*d + 90 = 0. Calculate d.
-6, -1, 15/8, 2
Suppose c**2/4 - 41*c/4 - 43/2 = 0. What is c?
-2, 43
Suppose -52*y**2/5 + 22*y - 12/5 = 0. Calculate y.
3/26, 2
Suppose -2*g**3/3 - 100*g**2 - 5000*g - 250000/3 = 0. What is g?
-50
Determine o so that 4*o**4 - 848*o**3 + 836*o**2 + 1688*o = 0.
-1, 0, 2, 211
Let 5*s**2 - 5725*s = 0. What is s?
0, 1145
Find l, given that l**5/8 + 21*l**4/8 + 73*l**3/4 + 225*l**2/4 + 621*l/8 + 297/8 = 0.
-11, -3, -1
Solve 2*o**2 - 1054*o = 0 for o.
0, 527
Determine x, given that 2*x**2/13 - 28*x/13 + 80/13 = 0.
4, 10
Factor 2*p**5 - 4*p**4 - 6*p**3 + 16*p**2 - 8*p.
2*p*(p - 2)*(p - 1)**2*(p + 2)
Find i such that 3*i**4/5 + 6*i**3/5 - 3*i**2/5 - 6*i/5 = 0.
-2, -1, 0, 1
Find m such that -19*m**2/3 + 7*m - 2/3 = 0.
2/19, 1
Factor -4*m**3 + 288*m**2 - 1040*m - 3264.
-4*(m - 68)*(m - 6)*(m + 2)
What is f in 3*f**3 - 75*f**2 - 3*f + 75 = 0?
-1, 1, 25
Determine d so that 2*d**5 + 42*d**4 - 8*d**3 - 168*d**2 = 0.
-21, -2, 0, 2
Factor 2*r**4/23 + 14*r**3/23 + 4*r**2/23 - 80*r/23.
2*r*(r - 2)*(r + 4)*(r + 5)/23
Determine m so that -m**3 + 281*m**2 - 19599*m - 19881 = 0.
-1, 141
Factor -t**5 + 3*t**4 + 81*t**3 - 167*t**2 - 1680*t + 1764.
-(t - 7)**2*(t - 1)*(t + 6)**2
Factor -4*f**3 - 944*f**2 - 56628*f - 109512.
-4*(f + 2)*(f + 117)**2
Factor 3*k**5/8 - 11*k**4/8 + 15*k**3/8 - 9*k**2/8 + k/4.
k*(k - 1)**3*(3*k - 2)/8
Let -3*j**4/2 - 72*j**3 - 594*j**2 - 912*j = 0. What is j?
-38, -8, -2, 0
Let -5*y**3 - 1005*y**2 - 3960*y - 3940 = 0. Calculate y.
-197, -2
Solve a**3 - 45*a**2 - a + 45 = 0.
-1, 1, 45
Factor 3*o**3/7 - 81*o/7 + 162/7.
3*(o - 3)**2*(o + 6)/7
Determine k so that -2*k**2/3 + 28*k + 86/3 = 0.
-1, 43
Let -j**3 + 288*j**2 = 0. What is j?
0, 288
Factor -x**3 + 313*x**2 + 633*x - 945.
-(x - 315)*(x - 1)*(x + 3)
Factor l**2/3 - 2110*l/3 + 1113025/3.
(l - 1055)**2/3
Factor -4*r**2 - 108*r - 104.
-4*(r + 1)*(r + 26)
Factor 2*q**3/9 - 202*q**2 + 61206*q - 6181806.
2*(q - 303)**3/9
Determine p so that -p**3 - 4*p**2 + 12*p = 0.
-6, 0, 2
Determine f, given that 2*f**3 - 114*f**2 + 1518*f - 1406 = 0.
1, 19, 37
Factor -j**2/7 - 228*j/7 - 12996/7.
-(j + 114)**2/7
Let 3*o**4/5 - 24*o**3/5 + 3*o**2 + 42*o/5 = 0. Calculate o.
-1, 0, 2, 7
Solve 10*v**3 + 64*v**2 + 74*v + 20 = 0 for v.
-5, -1, -2/5
Determine v so that 6*v**5/5 - 88*v**4/5 - 228*v**3/5 - 168*v**2/5 - 34*v/5 = 0.
-1, -1/3, 0, 17
Factor -3*i**4 - 21*i**3 + 261*i**2 - 447*i + 210.
-3*(i - 5)*(i - 1)**2*(i + 14)
Find p such that 3*p**4/2 + 4*p**3 - 15*p**2/2 + 2*p = 0.
-4, 0, 1/3, 1
Solve 18*g**5/7 + 38*g**4 + 624*g**3/7 + 40*g**2 - 96*g/7 = 0.
-12, -2, -1, 0, 2/9
Find g, given that 5*g**2 - 38750*g + 75078125 = 0.
3875
Determine o so that 2*o**2 - 246*o = 0.
0, 123
Solve -3*f**3/2 + 819*f**2/2 + 1647*f/2 + 825/2 = 0 for f.
-1, 275
Let 3*x**5/8 - 39*x**4/8 - 1023*x**3/8 + 22143*x**2/8 - 15972*x + 43923/2 = 0. Calculate x.
-22, 2, 11
Factor 25*b**2 + 7165*b - 2870.
5*(b + 287)*(5*b - 2)
Suppose 5*a**2 - 465*a = 0. Calculate a.
0, 93
Let 2*l**4/9 + 214*l**3 + 154240*l**2/3 - 464648*l/9 = 0. What is l?
-482, 0, 1
Factor h**2 - 47*h/2 + 23/2.
(h - 23)*(2*h - 1)/2
Solve -m**3 - 5*m**2 - 6*m = 0.
-3, -2, 0
Solve -5*p**5 - 565*p**4 - 15670*p**3 + 16810*p**2 + 15675*p - 16245 = 0.
-57, -1, 1
Suppose -2*o**2/3 + 562*o/3 - 372 = 0. Calculate o.
2, 279
Let 5*m**5 - 60*m**4 - 130*m**3 + 1560*m**2 + 125*m - 1500 = 0. Calculate m.
-5, -1, 1, 5, 12
Factor 5*t**3 - 70*t**2 - 255*t.
5*t*(t - 17)*(t + 3)
Solve 4*r**2 - 460*r - 936 = 0.
-2, 117
What is w in -6*w**4 - 21*w**3 + 6*w**2 + 39*w - 18 = 0?
-3, -2, 1/2, 1
Find f, given that 2*f**4 + 166*f**3/11 + 326*f**2/11 + 22*f + 60/11 = 0.
-5, -1, -6/11
Factor 2*p**3/13 - 238*p**2/13.
2*p**2*(p - 119)/13
What is f in -f**3/6 + 150*f**2 - 45000*f + 4500000 = 0?
300
Find q such that -2*q**2/11 - 6*q = 0.
-33, 0
Factor -4*n**3 - 7620*n**2 - 4838700*n - 1024191500.
-4*(n + 635)**3
Factor i**2/4 - 385*i/2 + 148225/4.
(i -