6
Factor -b**3 + 13*b**2 + 16*b - 28.
-(b - 14)*(b - 1)*(b + 2)
Factor -3*d**4/4 - 53*d**3/2 - 35*d**2/4.
-d**2*(d + 35)*(3*d + 1)/4
Suppose 2*q**4 + 4*q**3 - 8*q**2 - 4*q + 6 = 0. What is q?
-3, -1, 1
Let h**3/7 + 51*h**2/7 + 554*h/7 + 72 = 0. What is h?
-36, -14, -1
Factor 5*v**4 + 110*v**3 - 115*v**2.
5*v**2*(v - 1)*(v + 23)
Solve 10*q**5/3 + 34*q**4/3 + 32*q**3/3 + 8*q**2/3 = 0.
-2, -1, -2/5, 0
Factor -4*b**2/9 - 124*b/3 - 232.
-4*(b + 6)*(b + 87)/9
Factor -5*t**2 + 545*t + 550.
-5*(t - 110)*(t + 1)
What is f in -3*f**5/7 - 9*f**4/7 + 6*f**3/7 + 18*f**2/7 - 3*f/7 - 9/7 = 0?
-3, -1, 1
Factor -2*t**3/3 + 26*t**2/3 - 44*t/3.
-2*t*(t - 11)*(t - 2)/3
Factor -2*z**3 - 2*z**2 + 12*z.
-2*z*(z - 2)*(z + 3)
Factor l**2/7 - 12*l/7 + 36/7.
(l - 6)**2/7
Suppose -2*m**4/5 - 6*m**3/5 - 2*m**2/5 + 6*m/5 + 4/5 = 0. Calculate m.
-2, -1, 1
Let 2*u**3 - 4*u**2 - 18*u + 36 = 0. Calculate u.
-3, 2, 3
Factor t**2 - 2630*t + 5256.
(t - 2628)*(t - 2)
Suppose 22*r**3 + 1206*r**2 - 1452*r + 224 = 0. Calculate r.
-56, 2/11, 1
Factor -36*s**3 + 1528*s**2 - 2948*s + 1456.
-4*(s - 1)**2*(9*s - 364)
Factor -15*y**3 + 3*y**2 + 12*y.
-3*y*(y - 1)*(5*y + 4)
Find n such that 11*n**4 - 2*n**3 - 11*n**2 + 2*n = 0.
-1, 0, 2/11, 1
Let -2*s**5/3 - 56*s**4/3 - 506*s**3/3 - 484*s**2 = 0. Calculate s.
-11, -6, 0
Factor -2*f**3/9 - 22*f**2/9 + 80*f/3 - 24.
-2*(f - 6)*(f - 1)*(f + 18)/9
Find l such that 2*l**4/9 - 10*l**3/9 + 4*l**2/9 + 40*l/9 - 16/3 = 0.
-2, 2, 3
What is t in -4*t**4 - 2128*t**3 - 239704*t**2 + 11523120*t - 117288900 = 0?
-285, 19
Factor -2*w**3/9 + 1604*w**2/9 - 321602*w/9.
-2*w*(w - 401)**2/9
Determine h so that 2*h**5 - 6*h**4 - 22*h**3 + 6*h**2 + 20*h = 0.
-2, -1, 0, 1, 5
Find y such that -5*y**4/3 + 20*y**3 + 70*y**2/3 - 20*y - 65/3 = 0.
-1, 1, 13
Let 2*z**5/5 + 66*z**4 + 646*z**3/5 - 986*z**2/5 - 1296*z/5 + 1304/5 = 0. What is z?
-163, -2, 1
Solve 2*k**3/11 + 2822*k**2/11 + 991214*k/11 - 2999094/11 = 0.
-707, 3
Factor -4*r**4 + 40*r**3 - 116*r**2 + 80*r.
-4*r*(r - 5)*(r - 4)*(r - 1)
Factor 6*f**2/5 - 2616*f/5 - 2622/5.
6*(f - 437)*(f + 1)/5
Factor -d**5/8 + 7*d**4/8 - 5*d**3/4.
-d**3*(d - 5)*(d - 2)/8
Let 156*q**2/7 - 320*q/7 + 16/7 = 0. Calculate q.
2/39, 2
Factor l**4/4 + 9*l**3/4 + 2*l**2.
l**2*(l + 1)*(l + 8)/4
Factor -22*a**3 - 40*a**2 + 338*a - 60.
-2*(a - 3)*(a + 5)*(11*a - 2)
Solve -4*w**4 + 280*w**3 - 1300*w**2 = 0 for w.
0, 5, 65
Factor 2*h**4 - 8*h**3 - 10*h**2.
2*h**2*(h - 5)*(h + 1)
Factor 15*j**4 + 215*j**3 - 660*j**2 + 340*j.
5*j*(j - 2)*(j + 17)*(3*j - 2)
Factor -3*c**5 + 33*c**4 - 30*c**3.
-3*c**3*(c - 10)*(c - 1)
Suppose 5*l**2 - 1020*l + 52020 = 0. Calculate l.
102
Suppose -2*t**4/11 - 10*t**3/11 - 14*t**2/11 - 6*t/11 = 0. What is t?
-3, -1, 0
Factor 3*t**3/4 + 3*t**2 + 9*t/4.
3*t*(t + 1)*(t + 3)/4
Factor -15*c**3 - 2155*c**2 - 1430*c.
-5*c*(c + 143)*(3*c + 2)
Factor -i**2/5 + 994*i/5 + 199.
-(i - 995)*(i + 1)/5
Solve -w**2/4 - 67*w/4 - 270 = 0.
-40, -27
Find z, given that z**3 + 521*z**2 + 2072*z + 2068 = 0.
-517, -2
Find d, given that 2*d**5/9 - 20*d**4/3 + 652*d**3/9 - 3280*d**2/9 + 850*d - 6500/9 = 0.
2, 5, 13
Solve 2*b**4 - 136*b**3 + 266*b**2 - 132*b = 0 for b.
0, 1, 66
What is q in q**3/3 + 2*q**2/3 - 340*q/3 + 2200/3 = 0?
-22, 10
Factor 5*o**5 - 15*o**4 + 15*o**3 - 5*o**2.
5*o**2*(o - 1)**3
Factor 3*v**2 - 78*v + 144.
3*(v - 24)*(v - 2)
Find a such that -10*a**4/13 - 764*a**3/13 - 2520*a**2/13 - 2788*a/13 - 1022/13 = 0.
-73, -7/5, -1
Solve 2*x**3 - 2248*x**2 + 631688*x = 0 for x.
0, 562
Solve 4*s**5 + 8*s**4 - 8*s**2 - 4*s = 0 for s.
-1, 0, 1
Factor 2184*m**4 + 948*m**3 + 129*m**2/2 - 9*m.
3*m*(4*m + 1)**2*(91*m - 6)/2
What is c in -2*c**4 + 118*c**3 + 242*c**2 + 122*c = 0?
-1, 0, 61
Determine f, given that 5*f**2 - 640*f - 645 = 0.
-1, 129
Suppose -33*c**3/2 - 147*c**2/2 - 57*c = 0. What is c?
-38/11, -1, 0
Solve -2*c**3/5 + 4*c**2/5 + 2*c - 12/5 = 0.
-2, 1, 3
Factor -3*o**3/5 - 9*o**2/5 + 108*o/5 - 96/5.
-3*(o - 4)*(o - 1)*(o + 8)/5
Factor -2*f**2/9 + 232*f/9 + 26.
-2*(f - 117)*(f + 1)/9
Factor -5*o**2 - 885*o - 5950.
-5*(o + 7)*(o + 170)
Factor 3*f**2/5 - 3*f/5 - 18/5.
3*(f - 3)*(f + 2)/5
Solve -14*i**3/3 + 382*i**2/3 - 472*i/3 + 104/3 = 0.
2/7, 1, 26
What is g in -27*g**3 + 1179*g**2 - 777*g + 129 = 0?
1/3, 43
Factor -2*z**3/9 + 70*z**2 - 7350*z + 257250.
-2*(z - 105)**3/9
Let -l**5 + 22*l**4 + 155*l**3 + 352*l**2 + 332*l + 112 = 0. What is l?
-2, -1, 28
Factor -3*l**2/7 - 180*l/7 - 2700/7.
-3*(l + 30)**2/7
Factor 2*a**2/13 - 60*a/13 + 162/13.
2*(a - 27)*(a - 3)/13
Determine b, given that 4*b**3 - 1132*b**2 + 2252*b - 1124 = 0.
1, 281
Factor 5*z**2 - 635*z + 630.
5*(z - 126)*(z - 1)
Find g such that 4*g**2 + 2112*g + 278784 = 0.
-264
Determine q so that -2*q**3 + 178*q**2 + 1784*q - 1960 = 0.
-10, 1, 98
Factor -2*t**3 - 152*t**2 - 584*t - 576.
-2*(t + 2)**2*(t + 72)
Let -5*q**3 - 100*q**2 + 5*q + 100 = 0. What is q?
-20, -1, 1
What is x in -2*x**3/5 + 236*x**2/5 + 722*x/5 + 484/5 = 0?
-2, -1, 121
Find v, given that 3*v**2/7 + 192*v/7 + 372/7 = 0.
-62, -2
Factor 26*a**2 - 152*a - 24.
2*(a - 6)*(13*a + 2)
Solve -2*b**4/19 - 6*b**3 - 110*b**2/19 + 6*b + 112/19 = 0 for b.
-56, -1, 1
Factor 5*o**5 + 33*o**4 - 54*o**3 + 16*o**2.
o**2*(o - 1)*(o + 8)*(5*o - 2)
Determine d so that -3*d**2/7 - 162*d/7 - 1215/7 = 0.
-45, -9
Let -5*c**4/4 - 45*c**3/2 - 285*c**2/4 - 10*c + 105 = 0. What is c?
-14, -3, -2, 1
Factor -o**5 + 57*o**4 - 216*o**3 + 212*o**2.
-o**2*(o - 53)*(o - 2)**2
Factor 3*y**3 + 99*y**2 + 576*y + 780.
3*(y + 2)*(y + 5)*(y + 26)
Find f, given that -80*f**4 + 360*f**3 + 395*f**2 - 1065*f + 450 = 0.
-2, 3/4, 5
Factor -l**3/2 - 20*l**2 - 77*l/2 - 19.
-(l + 1)**2*(l + 38)/2
Factor 3*i**4 - 291*i**3 + 7479*i**2 - 20445*i + 13254.
3*(i - 47)**2*(i - 2)*(i - 1)
Factor 4*c**2 + 1104*c + 76176.
4*(c + 138)**2
Factor 4*o**3 - 252*o**2 - 808*o + 1056.
4*(o - 66)*(o - 1)*(o + 4)
Find j, given that -j**3 + 85*j**2 - 84*j = 0.
0, 1, 84
Let -2*b**2/3 - 22*b = 0. Calculate b.
-33, 0
Determine b, given that -b**3/3 - 10*b**2/3 + 37*b/3 - 26/3 = 0.
-13, 1, 2
Factor j**5/4 - 7*j**4/4 + 17*j**3/4 - 17*j**2/4 + 3*j/2.
j*(j - 3)*(j - 2)*(j - 1)**2/4
Factor 3*g**3/5 - 54*g**2/5 + 96*g/5.
3*g*(g - 16)*(g - 2)/5
Factor -2*c**4 - 162*c**3 + 1566*c**2 - 4806*c + 4860.
-2*(c - 3)**3*(c + 90)
Solve -6*y**5 - 112*y**4 + 166*y**3/3 + 932*y**2/3 - 1048*y/3 + 304/3 = 0 for y.
-19, -2, 2/3, 1
Solve 2*z**4/7 - 108*z**3/7 + 208*z**2/7 = 0.
0, 2, 52
Solve -3*n**4 + 27*n**3 + 12*n**2 - 108*n = 0.
-2, 0, 2, 9
Determine l, given that -l**3 + 111*l - 110 = 0.
-11, 1, 10
Factor -2*u**2/3 - 18*u + 56/3.
-2*(u - 1)*(u + 28)/3
Factor t**5 - 7*t**4 + 15*t**3 - 9*t**2.
t**2*(t - 3)**2*(t - 1)
Factor 2*m**5/3 - 104*m**4/3 + 2120*m**3/3 - 21184*m**2/3 + 103936*m/3 - 200704/3.
2*(m - 14)**2*(m - 8)**3/3
Factor -4*j**2/7 - 768*j/7 + 772/7.
-4*(j - 1)*(j + 193)/7
Suppose 13*q**2 - 35*q - 12 = 0. Calculate q.
-4/13, 3
Let -f**4/2 - 7*f**3 + 16*f**2 = 0. What is f?
-16, 0, 2
Factor -s**4/3 + 92*s**3/3 - 2206*s**2/3 + 1380*s - 675.
-(s - 45)**2*(s - 1)**2/3
Solve -2*l**4/5 - 6*l**3 - 98*l**2/5 - 114*l/5 - 44/5 = 0 for l.
-11, -2, -1
Factor 2*t**3/21 - 592*t**2/21 - 4850*t/21 - 608/3.
2*(t - 304)*(t + 1)*(t + 7)/21
Factor 21*s**3/2 - 159*s**2 + 45*s/2.
3*s*(s - 15)*(7*s - 1)/2
Find c, given that -5*c**5 - 623*c**4 - 19587*c**3 - 10909*c**2 + 19592*c + 11532 = 0.
-62, -1, -3/5, 1
Factor 3*f**4/4 - 3*f**3/4 - 3*f**2 + 3*f.
3*f*(f - 2)*(f - 1)*(f + 2)/4
Find v, given that 21*v**5 + 69*v**4 + 18*v**3 = 0.
-3, -2/7, 0
Factor 3*x**2/2 - 69*x/2 + 63.
3*(x - 21)*(x - 2)/2
Factor 3*k**5 + 9*k**4 + 9*k**3 + 3*k**2.
3*k**2*(k + 1)**3
Suppose -2*n**4 - 82*n**3 + 486*n**2 + 1210*n + 644 = 0. What is n?
-46, -1, 7
Factor -4*d**3 + 924*d**2 - 3648*d + 3632.
-4*(d - 227)*(d - 2)**2
Suppose 2*r**2/7 + 38*r + 524/7 = 0. What is r?
-131, -2
Solve -2*w**4 - 29*w**3/2 - 63*w**2/2 - 23*w - 4 = 0.
-4, -2, -1, -1/4
Let 2*f**4/9 - 16*f**3/9 + 14*f**2/9 = 0. What is f?
0, 1, 7
Find y, given that y**2/2 - 6*y + 10 = 0.
2, 10
Determine k, given that -5*k**2 + 485*k - 950 = 0.
2, 95
What is s in 12*s**4 + 170*s**3 - 154*s**2 - 58*s + 30 = 0?
-15, -1/2, 1/3, 1
Factor -686*x**5 - 98*x**4 + 1890*x**3 + 1850*x**2 + 500*x.
-2*x*(x - 2)*(7*x + 5)**3
Solve i**2 - 14*i - 95 = 0 for i.
-5, 19
Factor 2*h**2/23 - 1476