1522)**2*(a + 1)
Find u, given that u**3/2 + 197*u**2 - u/2 - 197 = 0.
-394, -1, 1
Determine b so that 2*b**4/5 - 12*b**3/5 + 2*b**2/5 + 48*b/5 + 32/5 = 0.
-1, 4
Factor j**4/4 - 1089*j**3/4 - 3273*j**2/4 - 3275*j/4 - 273.
(j - 1092)*(j + 1)**3/4
Suppose -21*u**2 - 9*u = 0. Calculate u.
-3/7, 0
What is x in 2*x**5/3 - 2*x**4 - 16*x**3/3 + 16*x**2 + 32*x/3 - 32 = 0?
-2, 2, 3
Factor 2*o**4 - 4*o**3 + 2*o**2.
2*o**2*(o - 1)**2
Factor y**3/6 + 5*y**2/2 + 25*y/2 + 125/6.
(y + 5)**3/6
Solve u**4/3 + 2*u**3/3 - 16*u**2 + 42*u - 27 = 0 for u.
-9, 1, 3
Factor -10*m**3 + 868*m**2/5 + 1886*m/5 + 968/5.
-2*(m + 1)**2*(25*m - 484)/5
Determine g so that -3*g**2 - 75*g - 198 = 0.
-22, -3
Let -3*u**2 - 678*u - 38307 = 0. What is u?
-113
Factor 15*u**2 + 37375*u - 12460.
5*(u + 2492)*(3*u - 1)
Factor -v**2/6 + 1607*v/3 + 3215/6.
-(v - 3215)*(v + 1)/6
What is s in -10*s**4 + 136*s**3 - 194*s**2 + 20*s + 48 = 0?
-2/5, 1, 12
Determine d so that 4*d**2/5 - 1568*d/5 + 4668/5 = 0.
3, 389
Factor 3*n**4/2 + 15*n**3 + 51*n**2/2 + 12*n.
3*n*(n + 1)**2*(n + 8)/2
Factor 5*z**2 - 65*z + 60.
5*(z - 12)*(z - 1)
Suppose -9*i**2 - 75*i/4 - 3/2 = 0. What is i?
-2, -1/12
Factor -w**4/6 + w**3/6 + w**2 - 2*w/3 - 4/3.
-(w - 2)**2*(w + 1)*(w + 2)/6
Find f, given that 5*f**2 + 715*f + 2100 = 0.
-140, -3
Factor -d**2/6 + 3*d/2 + 5/3.
-(d - 10)*(d + 1)/6
What is o in -4*o**2 - 68*o - 280 = 0?
-10, -7
Solve 3721925*g**3 - 84270*g**2 + 636*g - 8/5 = 0 for g.
2/265
Factor -5*t**2 + 90*t - 85.
-5*(t - 17)*(t - 1)
Determine k, given that -2*k**3 - 152*k**2 - 3034*k - 5476 = 0.
-37, -2
Find h such that 74*h**2/3 - 22*h - 8/3 = 0.
-4/37, 1
Factor y**2/2 - 349*y/2 + 519.
(y - 346)*(y - 3)/2
Factor 2*w**2/17 + 24*w/17 - 26/17.
2*(w - 1)*(w + 13)/17
Suppose 4*v**2 - 52*v + 48 = 0. What is v?
1, 12
Factor -3*b**5 + 12*b**4 + 6*b**3 - 36*b**2 - 27*b.
-3*b*(b - 3)**2*(b + 1)**2
Let -3*b**2 + 614*b + 205 = 0. Calculate b.
-1/3, 205
Factor -2*r**4/3 + 8*r**3/3 + 22*r**2/3 + 4*r.
-2*r*(r - 6)*(r + 1)**2/3
Let -4*s**4 - 324*s**3 + 4*s**2 + 324*s = 0. Calculate s.
-81, -1, 0, 1
Determine o so that -o**5 + 6*o**4 + 31*o**3 - 36*o**2 = 0.
-4, 0, 1, 9
Determine n, given that -5*n**2 + 245*n + 6900 = 0.
-20, 69
Determine t so that -3*t**3/7 - 666*t**2/7 - 189*t - 660/7 = 0.
-220, -1
Factor -2*f**2/7 + 18*f + 260/7.
-2*(f - 65)*(f + 2)/7
Factor -3*l**2 - 468*l - 18252.
-3*(l + 78)**2
What is y in 5*y**2 + 230*y + 225 = 0?
-45, -1
Suppose g**4/5 + 92*g**3/5 + 2022*g**2/5 - 4324*g/5 + 2209/5 = 0. Calculate g.
-47, 1
Factor 5*g**2/2 + 9*g + 13/2.
(g + 1)*(5*g + 13)/2
Factor b**2 - 4.
(b - 2)*(b + 2)
What is s in 4*s**2/3 - 884*s/3 + 880/3 = 0?
1, 220
Suppose 12*o**3 + 3264*o**2 - 23289*o + 41013 = 0. Calculate o.
-279, 7/2
Factor -u**3/3 - 4*u**2/3 - u.
-u*(u + 1)*(u + 3)/3
Solve -4761124*d**2/9 + 17456*d/9 - 16/9 = 0.
2/1091
Suppose u**3 - 47*u**2 + 87*u + 135 = 0. Calculate u.
-1, 3, 45
Factor -w**2/2 + 2946*w - 4339458.
-(w - 2946)**2/2
What is x in -x**5/5 + 521*x**4/5 - 101394*x**3/5 + 8683466*x**2/5 - 267522829*x/5 - 883499763/5 = 0?
-3, 131
Factor -c**3 - 47*c**2/6 + 56*c/3 - 59/6.
-(c - 1)**2*(6*c + 59)/6
Factor -3*y**3 + 87*y**2 - 525*y + 441.
-3*(y - 21)*(y - 7)*(y - 1)
Factor 2*a**3/11 - 148*a**2/11 + 1984*a/11 - 7424/11.
2*(a - 58)*(a - 8)**2/11
Factor -4*f**3/7 - 508*f**2/7 - 420*f - 4356/7.
-4*(f + 3)**2*(f + 121)/7
Factor -3*t**2 - 852*t - 1692.
-3*(t + 2)*(t + 282)
Factor -2*k**2 + 396*k - 19602.
-2*(k - 99)**2
Determine n so that 2*n**5/13 - 32*n**4/13 = 0.
0, 16
Factor 17*l**3/5 + 31*l**2/5 + 11*l/5 - 3/5.
(l + 1)**2*(17*l - 3)/5
Let 4*g**4 - 60*g**3 + 116*g**2 + 828*g + 648 = 0. What is g?
-2, -1, 9
Find q such that 4*q**2 - 736*q + 33856 = 0.
92
Factor c**5/11 - 4*c**4/11 + 16*c**2/11 - 16*c/11.
c*(c - 2)**3*(c + 2)/11
Factor 2*y**3/9 + 4*y**2/3.
2*y**2*(y + 6)/9
Suppose 3*w**5/2 - 372*w**4 - 9*w**3 + 2220*w**2 + 5943*w/2 + 1116 = 0. Calculate w.
-1, 3, 248
Factor y**5/6 - 4*y**4/3 + 25*y**3/6 - 19*y**2/3 + 14*y/3 - 4/3.
(y - 2)**3*(y - 1)**2/6
Solve -5*l**5 - 22*l**4 + 22*l**3 + 192*l**2 + 207*l + 54 = 0.
-3, -1, -2/5, 3
Factor 5*a**2 - 520*a + 13520.
5*(a - 52)**2
Let -3*g**3 + 24*g**2 + 33*g - 54 = 0. Calculate g.
-2, 1, 9
Factor 4*q**2 - 8*q.
4*q*(q - 2)
Factor w**5 - 9*w**4 + 30*w**3 - 46*w**2 + 33*w - 9.
(w - 3)**2*(w - 1)**3
Factor -13*a**3/3 + 48*a**2 + 145*a/3 - 4.
-(a - 12)*(a + 1)*(13*a - 1)/3
Factor 3*n**2 + 570*n + 1128.
3*(n + 2)*(n + 188)
Factor -r**3 + 32*r**2/5 - 44*r/5.
-r*(r - 2)*(5*r - 22)/5
Solve 3*y**5/5 + 81*y**4/5 - 1014*y**3/5 + 3456*y**2/5 - 3552*y/5 = 0 for y.
-37, 0, 2, 4
Suppose -2*f**5/7 - 32*f**4/7 + 148*f**3/7 - 232*f**2/7 + 158*f/7 - 40/7 = 0. What is f?
-20, 1
Factor r**4 + 304*r**3 + 23103*r**2 - 304*r - 23104.
(r - 1)*(r + 1)*(r + 152)**2
Factor 2*o**5 + 13*o**4 + 16*o**3 + 5*o**2.
o**2*(o + 1)*(o + 5)*(2*o + 1)
Factor -175*w**2 - 1920*w + 55.
-5*(w + 11)*(35*w - 1)
Suppose f**2/4 + 47*f/4 + 99 = 0. What is f?
-36, -11
Let -4*d**2/9 - 148*d/9 - 16 = 0. What is d?
-36, -1
Factor 3*t**3/5 + 162*t**2/5 - 333*t/5 + 168/5.
3*(t - 1)**2*(t + 56)/5
Factor 2*t**3/7 + 24*t**2/7 - 2*t/7 - 24/7.
2*(t - 1)*(t + 1)*(t + 12)/7
Factor z**4 - 2*z**3 - 15*z**2 - 4*z + 20.
(z - 5)*(z - 1)*(z + 2)**2
Suppose -v**2 - 104*v + 212 = 0. Calculate v.
-106, 2
Factor 2*v**3 + 75*v**2 + 37*v.
v*(v + 37)*(2*v + 1)
Let -5*o**4/6 - 5*o**3/3 + 5*o/3 + 5/6 = 0. What is o?
-1, 1
Factor -m**2 - 122*m - 3721.
-(m + 61)**2
Factor -2*d**3 - 78*d**2.
-2*d**2*(d + 39)
Solve 2*w**4/7 + 2432*w**3/7 = 0.
-1216, 0
Let 2*p**3/11 + 8*p**2/11 - 10*p/11 = 0. Calculate p.
-5, 0, 1
Factor -i**4/5 - 48*i**3/5 + 20*i**2.
-i**2*(i - 2)*(i + 50)/5
Find h such that -4*h**3 - 388*h**2 - 9212*h + 9604 = 0.
-49, 1
Let 78*f**2 + 201*f + 15 = 0. What is f?
-5/2, -1/13
Factor b**3/3 - 31*b**2 + 961*b - 29791/3.
(b - 31)**3/3
Solve 5*d**4/7 - 107*d**3/7 + 46*d**2 - 292*d/7 + 72/7 = 0 for d.
2/5, 1, 2, 18
Factor -4*w**3 + 44*w**2 + 4*w - 44.
-4*(w - 11)*(w - 1)*(w + 1)
What is l in 3*l**2/8 - 7*l/4 - 3 = 0?
-4/3, 6
Factor 3*w**3/4 - 4221*w**2/2 + 1979649*w - 618970254.
3*(w - 938)**3/4
Factor -34*q**2 + 6*q.
-2*q*(17*q - 3)
Suppose -4*j**3 + 52*j**2 - 48*j = 0. Calculate j.
0, 1, 12
Suppose 3*n**2/7 - 9*n/7 + 6/7 = 0. What is n?
1, 2
Factor -2*c**3/7 + 16*c**2/7 - 34*c/7 + 20/7.
-2*(c - 5)*(c - 2)*(c - 1)/7
Factor 4*t**4 - 5088*t**3 - 15292*t**2 - 10200*t.
4*t*(t - 1275)*(t + 1)*(t + 2)
Find s, given that 3*s**2 + 792*s + 52272 = 0.
-132
Solve -5*b**4 - 80*b**3 - 230*b**2 + 720*b - 405 = 0.
-9, 1
Let -4*h**3 - 204*h**2 - 1740*h - 4100 = 0. What is h?
-41, -5
What is g in g**4/5 + 48*g**3 + 14637*g**2/5 + 28322*g/5 = 0?
-119, -2, 0
Factor 9*h**3 - 93*h**2 + 294*h - 288.
3*(h - 3)*(h - 2)*(3*h - 16)
Solve -22*n**5 - 150*n**4 - 104*n**3 + 640*n**2 + 768*n - 160 = 0 for n.
-5, -2, 2/11, 2
Determine r so that r**5/6 - 4*r**4/3 - 52*r**3/3 - 176*r**2/3 - 248*r/3 - 128/3 = 0.
-2, 16
Solve -2*g**2/11 - 474*g/11 - 252 = 0.
-231, -6
What is z in 3*z**4/8 + 87*z**3/4 + 2343*z**2/8 - 1305*z/2 + 675/2 = 0?
-30, 1
Determine k so that -k**5 - 15*k**4 - 47*k**3 - 33*k**2 = 0.
-11, -3, -1, 0
Factor -d**2/9 - 487*d/9 + 488/9.
-(d - 1)*(d + 488)/9
Factor 3*c**4 - 1842*c**3 - 3*c**2 + 1842*c.
3*c*(c - 614)*(c - 1)*(c + 1)
Determine g so that 3*g**2/7 + 1734*g/7 + 250563/7 = 0.
-289
Find n such that -3*n**3 + 21*n**2 - 108 = 0.
-2, 3, 6
Find h, given that -h**2/4 - 9*h + 19 = 0.
-38, 2
Factor 2*j**2 - 4588*j.
2*j*(j - 2294)
What is j in -3*j**5/7 - 108*j**4/7 - 1308*j**3/7 - 864*j**2 - 1344*j = 0?
-14, -4, 0
Solve 2*i**5/13 - 124*i**4/13 + 912*i**3/13 - 2656*i**2/13 + 3488*i/13 - 1728/13 = 0 for i.
2, 54
What is q in -q**2/6 - 53*q/3 - 35/2 = 0?
-105, -1
Find l such that -l**5/3 + 3*l**4 - 8*l**3/3 = 0.
0, 1, 8
Determine a, given that -2*a**2/13 + 340*a/13 - 14450/13 = 0.
85
Let d**3 - 676*d**2 + 114244*d = 0. What is d?
0, 338
Solve 19*g**5/3 - 7*g**4 - 131*g**3/3 + 11*g**2 + 112*g/3 - 4 = 0 for g.
-2, -1, 2/19, 1, 3
Suppose -10*n**5/3 - 238*n**4/3 - 644*n**3 - 2028*n**2 - 1998*n + 486 = 0. Calculate n.
-9, -3, 1/5
Factor -3*q**2/5 - 84*q/5.
-3*q*(q + 28)/5
Let 7*h**4/4 + 261*h**3/4 - 1727*h**2/2 + 1764*h + 576 = 0. Calculate h.
-48, -2/7, 3, 8
Factor -q**3/5 - q**2.
-q**2*(q + 5)/5
Suppose 2*m**3/9 - 104*m**2/9 + 482*m/9 - 188/3 =