**2 - 145*b + 60.
-5*(b + 3)*(b + 4)*(3*b - 1)
Find t, given that 2*t**4 + 26*t**3 + 24*t**2 = 0.
-12, -1, 0
Factor -4*y**2 - 76*y.
-4*y*(y + 19)
Suppose c**2/2 + c/2 - 1 = 0. What is c?
-2, 1
Factor y**3 - 6*y**2 - 64*y - 96.
(y - 12)*(y + 2)*(y + 4)
Factor -p**2/10 + 6309*p/5 - 39803481/10.
-(p - 6309)**2/10
Factor u**5 - 25*u**4 - 53*u**3 - 27*u**2.
u**2*(u - 27)*(u + 1)**2
Factor 5*l**2 + 550*l + 545.
5*(l + 1)*(l + 109)
Factor -361*q**2/5 + 76*q/5 - 4/5.
-(19*q - 2)**2/5
Factor 3*g**3/7 - 192*g**2/7 + 4080*g/7 - 28800/7.
3*(g - 24)*(g - 20)**2/7
Let 15*v**5 + 40*v**4 - 25*v**3 - 150*v**2 - 140*v - 40 = 0. Calculate v.
-2, -1, -2/3, 2
Solve -2*p**5 + 10*p**4/3 + 2*p**3/3 - 10*p**2/3 + 4*p/3 = 0.
-1, 0, 2/3, 1
Factor 5*n**2 + 6000*n + 5995.
5*(n + 1)*(n + 1199)
Determine d so that 9*d**3/8 + 249*d**2/8 + 99*d/2 + 39/2 = 0.
-26, -1, -2/3
Determine t so that 6*t**4 - 4*t**3 - 6*t**2 + 4*t = 0.
-1, 0, 2/3, 1
Determine r so that 2*r**4/11 - 24*r**3/11 + 70*r**2/11 - 48*r/11 = 0.
0, 1, 3, 8
Determine j so that 5*j**2 + 5010*j + 1255005 = 0.
-501
Suppose -2*u**5 - 26*u**4 - 52*u**3 + 236*u**2 + 534*u + 270 = 0. What is u?
-9, -5, -1, 3
Factor 4*a**4 - 20*a**3 + 12*a**2 + 20*a - 16.
4*(a - 4)*(a - 1)**2*(a + 1)
Suppose -10*g**3 - 36*g**2 + 10*g + 36 = 0. Calculate g.
-18/5, -1, 1
Suppose 48*p**3 + 380*p**2 + 316*p + 56 = 0. Calculate p.
-7, -2/3, -1/4
Let 3*u**3/5 + 1017*u**2/5 + 13797*u/5 + 9555 = 0. What is u?
-325, -7
Factor y**2/5 + 181*y/5 + 534/5.
(y + 3)*(y + 178)/5
Factor 6*d**2/7 - 624*d/7 + 618/7.
6*(d - 103)*(d - 1)/7
Factor -2*y**3/7 + 96*y**2/7 + 416*y/7.
-2*y*(y - 52)*(y + 4)/7
Find g such that -g**3/2 - 121*g**2 + 490*g - 492 = 0.
-246, 2
Determine w, given that 4*w**3 - 400*w**2 + 10388*w - 19208 = 0.
2, 49
Let -9*j**5/7 - 9762*j**4 - 129868680*j**3/7 - 605021616*j**2/7 - 123406896*j - 49352352 = 0. What is j?
-3794, -2, -2/3
Find z such that -z**3/4 - 11*z**2/4 + 29*z/4 + 39/4 = 0.
-13, -1, 3
Factor -25*t**3 - 5270*t**2 + 17105*t - 3210.
-5*(t - 3)*(t + 214)*(5*t - 1)
Factor 2*c**2/3 - 4*c + 10/3.
2*(c - 5)*(c - 1)/3
Factor 3*o**2 + 54*o.
3*o*(o + 18)
Factor 4*n**4 - 8*n**3 + 4*n**2.
4*n**2*(n - 1)**2
Let -29*p**3 - 694*p**2 - 4128*p + 288 = 0. Calculate p.
-12, 2/29
Let 6*o**5 + 70*o**4/3 + 178*o**3/9 - 154*o**2/9 - 232*o/9 - 56/9 = 0. What is o?
-2, -14/9, -1, -1/3, 1
Determine j, given that -j**3 + 1200*j - 16000 = 0.
-40, 20
What is k in 3*k**5/4 + 4*k**4 + 3*k**3 - 4*k**2 = 0?
-4, -2, 0, 2/3
Suppose -9*b**3 + 84*b**2/5 + 12*b/5 = 0. Calculate b.
-2/15, 0, 2
Find g, given that g**2/9 - g + 14/9 = 0.
2, 7
Find w such that 3*w**3 - 45*w**2 + 114*w - 72 = 0.
1, 2, 12
Find q, given that 8*q**3/3 - 2*q**2/3 - 5*q/3 - 1/3 = 0.
-1/2, -1/4, 1
Factor 4*y**5/7 - 24*y**4/7 + 32*y**3/7 + 8*y**2/7 - 36*y/7 + 16/7.
4*(y - 4)*(y - 1)**3*(y + 1)/7
Factor -5*b**3 + 740*b**2 - 28800*b + 103680.
-5*(b - 72)**2*(b - 4)
Find f, given that -2*f**4/7 + 2*f**3/7 + 6*f**2 - 90*f/7 = 0.
-5, 0, 3
Factor -3*c**4 - 924*c**3 - 68322*c**2 + 435204*c - 665523.
-3*(c - 3)**2*(c + 157)**2
Factor 2*k**4 - 14*k**3 + 36*k**2 - 40*k + 16.
2*(k - 2)**3*(k - 1)
Determine v so that 2*v**5/3 + 78*v**4 + 2396*v**3 + 20180*v**2/3 + 6574*v + 2166 = 0.
-57, -1
Find m, given that 3*m**2/5 - 153*m/5 = 0.
0, 51
Solve -f**2/3 - 134*f/3 - 4489/3 = 0.
-67
Factor -d**2/4 - 18*d - 180.
-(d + 12)*(d + 60)/4
Factor -2*d**3/7 - 88*d**2/7 - 520*d/7 + 10816/7.
-2*(d - 8)*(d + 26)**2/7
Suppose -h**5/7 + 3*h**4/7 + 2*h**3/7 - 12*h**2/7 + 8*h/7 = 0. What is h?
-2, 0, 1, 2
Find w, given that 5*w**3 + 20*w**2 - 75*w - 90 = 0.
-6, -1, 3
Let -v**2/7 + 25*v/7 - 150/7 = 0. Calculate v.
10, 15
Suppose 15*a**4 - 171*a**3 - 123*a**2 + 171*a + 108 = 0. What is a?
-1, -3/5, 1, 12
Factor 3*c**4 - 138*c**3 - 144*c**2 + 138*c + 141.
3*(c - 47)*(c - 1)*(c + 1)**2
What is i in 6*i**4/5 + 38*i**3/5 + 66*i**2/5 + 42*i/5 + 8/5 = 0?
-4, -1, -1/3
Let 2*r**3 - 108*r**2 - 230*r + 336 = 0. What is r?
-3, 1, 56
Factor -3*d**2 + 186*d - 2883.
-3*(d - 31)**2
Determine q so that -5*q**2 + 55*q - 50 = 0.
1, 10
Factor 2*t**3/5 + 186*t**2/5 - 1584*t/5 - 339768/5.
2*(t - 39)*(t + 66)**2/5
Find o such that 6*o**3/19 + 22*o**2/19 - 408*o/19 - 280/19 = 0.
-10, -2/3, 7
Find p, given that 81*p**3/2 - 279*p**2/2 + 56*p - 6 = 0.
2/9, 3
Find y such that -5*y**5 - 40*y**4 - 60*y**3 + 10*y**2 + 65*y + 30 = 0.
-6, -1, 1
Factor 5*c**2 - 240*c - 245.
5*(c - 49)*(c + 1)
Suppose 4*c**3 - 768*c**2 + 4500*c - 6696 = 0. Calculate c.
3, 186
Let -o**5/4 - o**4/2 + 3*o**3/2 + 2*o**2 - 5*o/4 - 3/2 = 0. What is o?
-3, -1, 1, 2
Factor 3*z**2 + 9*z - 810.
3*(z - 15)*(z + 18)
Suppose 5*p**2/4 - 45*p/2 - 810 = 0. Calculate p.
-18, 36
Factor 2*q**5 - 68*q**4 + 128*q**3.
2*q**3*(q - 32)*(q - 2)
Factor 15*a**4 + 597*a**3 + 465*a**2 - 117*a.
3*a*(a + 1)*(a + 39)*(5*a - 1)
Solve 2*t**2 - 128*t - 130 = 0.
-1, 65
Factor -2*b**2 - 4788*b - 2865618.
-2*(b + 1197)**2
Find v such that -20*v**4 - 208*v**3 - 640*v**2 - 704*v - 192 = 0.
-6, -2, -2/5
Factor -2*r**5/3 + 8*r**4 - 24*r**3 + 64*r**2/3.
-2*r**2*(r - 8)*(r - 2)**2/3
Factor 5*c**4 - 485*c**3 + 930*c**2 + 1940*c - 3800.
5*(c - 95)*(c - 2)**2*(c + 2)
Let 2*c**2/5 - 32/5 = 0. What is c?
-4, 4
Determine d, given that -98*d**3/3 + 602*d**2 + 352*d + 152/3 = 0.
-2/7, 19
Suppose -c**2 - 76*c = 0. What is c?
-76, 0
Solve 2*h**3/7 + 110*h**2 = 0 for h.
-385, 0
Factor -6*q**3 - 168*q**2 + 1905*q/2 - 2475/2.
-3*(q + 33)*(2*q - 5)**2/2
Solve -4*a**3 + 224*a**2 - 2256*a + 6336 = 0 for a.
6, 44
Solve 5*a**2 - 20730*a + 21486645 = 0.
2073
Find i such that -3*i**4/8 - 39*i**3/8 - 27*i**2/8 + 399*i/8 - 165/4 = 0.
-11, -5, 1, 2
Factor -14*h**2 - 498*h - 280.
-2*(h + 35)*(7*h + 4)
Find r, given that 26*r**3 - 108*r**2 + 94*r - 12 = 0.
2/13, 1, 3
Solve -v**3/4 - 751*v**2/2 = 0.
-1502, 0
Factor -4*j**4 - 532*j**3 - 17944*j**2 - 16368*j + 34848.
-4*(j - 1)*(j + 2)*(j + 66)**2
Find p such that -3*p**2/7 + 5643*p/7 - 5640/7 = 0.
1, 1880
Solve 20*h**4 - 415*h**2 + 405*h - 100 = 0.
-5, 1/2, 4
Find c, given that 3*c**5/8 + 15*c**4/8 - 39*c**3/8 + 21*c**2/8 = 0.
-7, 0, 1
Suppose 12888100*i**2/7 + 28720*i/7 + 16/7 = 0. Calculate i.
-2/1795
Factor 96*n**3 - 752*n**2/5 + 318*n/5 - 18/5.
2*(4*n - 3)**2*(15*n - 1)/5
Factor 5*l**2 + 1160*l - 2340.
5*(l - 2)*(l + 234)
Factor 2*c**2 + 506*c - 2056.
2*(c - 4)*(c + 257)
Suppose -5*o**2 = 0. Calculate o.
0
Factor 16*k**2/9 - 20*k.
4*k*(4*k - 45)/9
Factor -50*k**3 + 240*k**2 - 378*k + 196.
-2*(k - 2)*(5*k - 7)**2
What is r in -r**2/9 - 34*r/9 - 289/9 = 0?
-17
Let 75*o**3 + 18*o**2 + 3*o/5 = 0. Calculate o.
-1/5, -1/25, 0
Factor -4*f**3 + 2060*f**2 + 4132*f + 2068.
-4*(f - 517)*(f + 1)**2
Let -s**2/3 + 250*s - 747 = 0. What is s?
3, 747
Determine z, given that z**3 + 21*z**2 - 22*z = 0.
-22, 0, 1
Factor -4*j**5 - 100*j**4 + 216*j**3 - 8*j**2 - 212*j + 108.
-4*(j - 1)**3*(j + 1)*(j + 27)
Factor 2*o**3 + 4920*o**2 + 4034400*o + 1102736000.
2*(o + 820)**3
Factor 3*b**5/4 + 3*b**4/2 - 135*b**3/4 + 213*b**2/2 - 129*b + 54.
3*(b - 2)**3*(b - 1)*(b + 9)/4
Factor 11*g**4 - 35*g**3 - 38*g**2 + 8*g.
g*(g - 4)*(g + 1)*(11*g - 2)
Solve 2*q**3/15 - 16*q**2/15 - 26*q/3 = 0 for q.
-5, 0, 13
Factor 4*n**3 + 544*n**2 + 540*n.
4*n*(n + 1)*(n + 135)
Suppose -2*j**4 + 12*j**3 - 8*j**2 - 48*j + 64 = 0. What is j?
-2, 2, 4
Factor -147*v**3/4 - 1197*v**2/8 - 108*v + 96.
-3*(2*v - 1)*(7*v + 16)**2/8
Factor -y**4 + 3*y**3 + 9*y**2 - 23*y + 12.
-(y - 4)*(y - 1)**2*(y + 3)
Factor 4*q**5 - 140*q**4 + 744*q**3 - 1432*q**2 + 1172*q - 348.
4*(q - 29)*(q - 3)*(q - 1)**3
Factor a**4/4 + 29*a**3/4 - 61*a**2 + 76*a + 144.
(a - 4)**2*(a + 1)*(a + 36)/4
Factor -80*t**4 + 1160*t**3 - 4485*t**2 + 2030*t - 245.
-5*(t - 7)**2*(4*t - 1)**2
Let 98*w**5/19 - 140*w**4/19 - 202*w**3/19 + 124*w**2/19 + 104*w/19 + 16/19 = 0. Calculate w.
-1, -2/7, 1, 2
Solve -2*t**2 + 92*t - 1058 = 0.
23
What is w in -20*w**5 + 324*w**4 - 616*w**3 = 0?
0, 11/5, 14
Factor 2*q**2/7 - 816*q/7 - 818/7.
2*(q - 409)*(q + 1)/7
Factor -g**4/8 - 41*g**3/8 - 145*g**2/8 + 129*g/8 + 333/4.
-(g - 2)*(g + 3)**2*(g + 37)/8
Find x such that 5*x**4 - 7490*x**3 - 22500*x**2 - 22510*x - 7505 = 0.
-1, 1501
Suppose -3*z**3 + 537*z**2 + 3*z - 537 = 0. Calculate z.
-1, 1, 179
Solve -4*y**5/13 + 34*y**4/13 - 100*y**3/13 + 10*y**2 - 76*y/13 + 16/13 = 0 for y.
1/2, 1, 2, 4
S