216
Factor -1977*f**2 - 31638*f - 96.
-3*(f + 16)*(659*f + 2)
Suppose 15*q**4/4 + 33*q**3 + 108*q**2 + 156*q + 84 = 0. What is q?
-14/5, -2
Factor s**4/9 + 5*s**3/9 + s**2/3 - s.
s*(s - 1)*(s + 3)**2/9
Determine o so that -2*o**2 + 12*o + 32 = 0.
-2, 8
Let -5*f**5 - 80*f**4 - 265*f**3 - 310*f**2 - 120*f = 0. What is f?
-12, -2, -1, 0
Factor 2*j**3/7 - 1508*j**2/7 + 430*j - 1504/7.
2*(j - 752)*(j - 1)**2/7
Factor -4*k**4 + 36*k**3 - 72*k**2.
-4*k**2*(k - 6)*(k - 3)
Factor z**3/6 + 7*z**2/6 + 11*z/6 + 5/6.
(z + 1)**2*(z + 5)/6
Let 5*v**3 + 15*v**2 - 5*v - 15 = 0. Calculate v.
-3, -1, 1
Factor 2*t**3/15 - 2*t**2/3 - 88*t/15 - 8.
2*(t - 10)*(t + 2)*(t + 3)/15
Find n, given that 2*n**2 + 20*n + 32 = 0.
-8, -2
Determine z so that -5*z**4 - 50*z**3 + 15*z**2 + 160*z + 100 = 0.
-10, -1, 2
Factor 3*m**2/5 - 6879*m/5.
3*m*(m - 2293)/5
Find d such that -d**5 + 5*d**4 + 45*d**3 + 55*d**2 - 44*d - 60 = 0.
-3, -2, -1, 1, 10
Find g, given that g**2/5 + 158*g + 789/5 = 0.
-789, -1
Suppose 15*i**3 - 185*i**2 - 130*i = 0. Calculate i.
-2/3, 0, 13
Solve -4*f**4 - 12872*f**3 - 10368388*f**2 - 20698176*f - 10342656 = 0 for f.
-1608, -1
Let 5*r**5 + 40*r**4 - 70*r**3 - 940*r**2 - 1535*r - 700 = 0. What is r?
-7, -4, -1, 5
What is d in d**2 + 3*d - 10 = 0?
-5, 2
Factor 9*k**4 - 30*k**3 + 33*k**2 - 12*k.
3*k*(k - 1)**2*(3*k - 4)
Find m such that -2*m**5 + 78*m**4 - 216*m**3 = 0.
0, 3, 36
Factor -4*c**3/5 + 156*c**2/5 + 324*c/5 + 164/5.
-4*(c - 41)*(c + 1)**2/5
Find m such that -3*m**2 + 186*m + 1005 = 0.
-5, 67
Factor k**4/6 + 19*k**3/6 - 44*k**2/3 + 46*k/3.
k*(k - 2)**2*(k + 23)/6
Suppose 2*t**2/19 - 544*t/19 + 542/19 = 0. What is t?
1, 271
Factor 3*n**5/2 - 9*n**4 - 21*n**3/2.
3*n**3*(n - 7)*(n + 1)/2
Solve 5*j**5 - 125*j**4 + 705*j**3 + 1105*j**2 - 1690*j = 0.
-2, 0, 1, 13
Determine x so that -3*x**2 + 5694*x - 2701803 = 0.
949
Solve 5*z**2/2 - 55*z/6 - 10/3 = 0.
-1/3, 4
Factor -2*y**2/7 - 12*y + 176/7.
-2*(y - 2)*(y + 44)/7
Factor -5*m**4 + 190*m**3 + 1660*m**2 - 3870*m + 2025.
-5*(m - 45)*(m - 1)**2*(m + 9)
Suppose 2*x**3/5 - 384*x**2/5 + 24576*x/5 - 524288/5 = 0. What is x?
64
Determine o so that -5*o**2 - 50710*o - 128575205 = 0.
-5071
Factor d**2/3 - 76*d.
d*(d - 228)/3
Solve i**4/5 - 3*i**2/5 + 2*i/5 = 0 for i.
-2, 0, 1
What is w in 11*w**2 + 184*w - 51 = 0?
-17, 3/11
Factor -5*h**2 + 60*h + 1100.
-5*(h - 22)*(h + 10)
Solve a**3 - a**2 - 2*a = 0 for a.
-1, 0, 2
Solve -2*c**3/7 - 24*c**2/7 - 18*c/7 + 44/7 = 0 for c.
-11, -2, 1
Factor -17*l**5 - 36*l**4 - 4*l**3.
-l**3*(l + 2)*(17*l + 2)
What is f in -2*f**2/5 - 1098*f/5 + 2204/5 = 0?
-551, 2
Factor -3*t**4/2 + 9*t**3/2 - 9*t**2/2 + 3*t/2.
-3*t*(t - 1)**3/2
Find d such that 2*d**2 + 48*d + 46 = 0.
-23, -1
Factor f**5 + 3*f**4 - 2*f**3 - 6*f**2 + f + 3.
(f - 1)**2*(f + 1)**2*(f + 3)
Find y such that y**2/4 - 3047*y/4 + 1523/2 = 0.
1, 3046
Factor -4*d**4 - 192*d**3 + 36*d**2 + 1728*d.
-4*d*(d - 3)*(d + 3)*(d + 48)
Find h, given that -3*h**2 + 75*h - 252 = 0.
4, 21
Factor -2*n**2 + 48*n + 50.
-2*(n - 25)*(n + 1)
Factor 132*w**2 + 1724*w + 104.
4*(w + 13)*(33*w + 2)
Determine h, given that -h**3/4 - 215*h**2/2 - 11663*h - 22898 = 0.
-214, -2
Determine s so that 166*s**2/15 - 2*s/5 = 0.
0, 3/83
Solve -3*s**4 - 3*s**3 + 18*s**2 + 12*s - 24 = 0.
-2, 1, 2
Factor -5*z**2/4 + 3*z/2 - 1/4.
-(z - 1)*(5*z - 1)/4
Solve 4*o**3 + 7684*o**2 + 7680*o = 0 for o.
-1920, -1, 0
What is w in -2*w**2/19 + 2468*w/19 - 761378/19 = 0?
617
Determine d, given that -14*d**4 - 170*d**3 - 430*d**2 - 310*d - 36 = 0.
-9, -2, -1, -1/7
Factor n**4/5 + 58*n**3/5 - 127*n**2/5 - 424*n/5 - 48.
(n - 4)*(n + 1)**2*(n + 60)/5
Let 2*x**4 + 182*x**3 + 528*x**2 - 8*x - 704 = 0. Calculate x.
-88, -2, 1
Factor 2*b**5 + 18*b**4 + 50*b**3 + 54*b**2 + 20*b.
2*b*(b + 1)**2*(b + 2)*(b + 5)
Factor 5*r**2 - 300*r - 9545.
5*(r - 83)*(r + 23)
Factor l**2/2 - 17*l/2 - 9.
(l - 18)*(l + 1)/2
Let -u**5/4 - 35*u**4/4 - 393*u**3/4 - 1261*u**2/4 + 845*u/2 = 0. Calculate u.
-13, -10, 0, 1
Find q, given that -q**3 - 9*q**2 + 10*q = 0.
-10, 0, 1
Factor -4*l**2 - 260*l - 1824.
-4*(l + 8)*(l + 57)
Factor 3*p**3 - 42*p**2 - 12*p + 168.
3*(p - 14)*(p - 2)*(p + 2)
Factor -u**2 - 199*u/3 - 22.
-(u + 66)*(3*u + 1)/3
Factor 5*q**3 - 15*q - 10.
5*(q - 2)*(q + 1)**2
Factor -m**4/12 - m**3/2 - 5*m**2/12 + m.
-m*(m - 1)*(m + 3)*(m + 4)/12
Suppose 180*c**5 - 768*c**4 - 2452*c**3 - 2032*c**2 - 528*c = 0. What is c?
-1, -2/3, 0, 33/5
Let 4*f**4 + 2496*f**3 + 584064*f**2 + 60742656*f + 2368963584 = 0. What is f?
-156
Let -3*u**5/4 - 45*u**4/8 - 3*u**3/8 + 147*u**2/8 + 153*u/8 + 21/4 = 0. What is u?
-7, -1, -1/2, 2
Let -108*c**5 - 972*c**4 - 2736*c**3 - 3200*c**2 - 1664*c - 320 = 0. Calculate c.
-5, -2, -2/3
Let -4*x**5/5 + 24*x**4 - 1208*x**3/5 + 4816*x**2/5 - 6468*x/5 + 2744/5 = 0. What is x?
1, 7, 14
Factor -4*j**3 + 80*j**2 - 512*j + 1024.
-4*(j - 8)**2*(j - 4)
Determine h so that h**2/3 + 21*h + 62/3 = 0.
-62, -1
Suppose 5*v**4 + 3080*v**3 + 633450*v**2 + 43706000*v + 43075625 = 0. What is v?
-205, -1
Factor l**3/3 - 341*l**2/3 + 29240*l/3 - 28900/3.
(l - 170)**2*(l - 1)/3
Factor h**5/6 - 443*h**4/6 + 8140*h**3 + 8214*h**2.
h**2*(h - 222)**2*(h + 1)/6
Determine g so that -5*g**3 - 90*g**2 - 480*g - 800 = 0.
-10, -4
Factor -2*k**2/5 - 172*k/5 - 3698/5.
-2*(k + 43)**2/5
Determine d, given that 4*d**2 - 152*d + 288 = 0.
2, 36
Factor g**4/9 + 34*g**3/9 - 4*g**2 - 34*g/9 + 35/9.
(g - 1)**2*(g + 1)*(g + 35)/9
Suppose 5*b**4/2 + 29*b**3 + 81*b**2/2 - 266*b + 98 = 0. Calculate b.
-7, 2/5, 2
Determine b so that -3*b**4 - 387*b**3 - 1503*b**2 - 357*b + 2250 = 0.
-125, -3, -2, 1
Suppose -2*r**4/3 - 198*r**3 - 41326*r**2/3 + 138822*r - 124848 = 0. Calculate r.
-153, 1, 8
Determine z so that -15*z**4 + 81*z**3 + 405*z**2 - 1749*z + 630 = 0.
-5, 2/5, 3, 7
Factor -3*z**5/7 + 117*z**4/7 - 1296*z**3/7 + 2916*z**2/7.
-3*z**2*(z - 18)**2*(z - 3)/7
Factor 3*q**2/7 + 8706*q/7.
3*q*(q + 2902)/7
Solve 2*l**4/13 - 92*l**3/13 + 1088*l**2/13 - 3840*l/13 = 0.
0, 8, 30
Determine l so that l**3/5 + 41*l**2/5 + 518*l/5 + 392 = 0.
-20, -14, -7
Solve -2*r**2/9 + 820*r/9 - 84050/9 = 0 for r.
205
Let -2*o**2/5 + 24*o/5 = 0. What is o?
0, 12
Find n such that -90601*n**2 - 3010*n - 25 = 0.
-5/301
Factor 3*d**2 + 27*d.
3*d*(d + 9)
Solve -n**4 + 58*n**3 - 780*n**2 - 1800*n = 0.
-2, 0, 30
Factor -a**4 - 24*a**3 - 157*a**2 - 246*a - 112.
-(a + 1)**2*(a + 8)*(a + 14)
Determine s so that -3*s**4/7 + 204*s**3/7 + 1296*s**2/7 + 2640*s/7 + 1776/7 = 0.
-2, 74
Find q, given that -4*q**3 - 76*q**2 - 140*q - 68 = 0.
-17, -1
Factor 76*t**2 - 168*t + 32.
4*(t - 2)*(19*t - 4)
Solve 15*o**2 - 4659*o - 1866 = 0.
-2/5, 311
Factor 3*h**2 - 522*h + 22707.
3*(h - 87)**2
Factor -2*u**2/7 - 12*u/7 + 26.
-2*(u - 7)*(u + 13)/7
Factor 3*l**3/2 - 21*l**2/2 - 12*l.
3*l*(l - 8)*(l + 1)/2
Let 15*c**3 - 6*c**2 - 15*c + 6 = 0. Calculate c.
-1, 2/5, 1
Solve -2*w**3 - 142*w**2 - 400*w + 544 = 0 for w.
-68, -4, 1
Let -p**2/3 + 14*p/3 - 11 = 0. What is p?
3, 11
Factor -3*b**3 + 537*b**2 + 1086*b.
-3*b*(b - 181)*(b + 2)
Factor -4*b**3/3 - 68*b**2/3 - 124*b/3 - 20.
-4*(b + 1)**2*(b + 15)/3
Factor 2*y**3 + 2*y**2 - 4*y.
2*y*(y - 1)*(y + 2)
What is k in k**2/6 + 11*k/6 - 7 = 0?
-14, 3
What is z in 8*z**5/3 + 208*z**4/3 + 1034*z**3/3 + 1522*z**2/3 + 848*z/3 + 160/3 = 0?
-20, -4, -1, -1/2
Factor r**3/4 - 315*r**2/4 + 33075*r/4 - 1157625/4.
(r - 105)**3/4
Factor b**2 + 38*b + 72.
(b + 2)*(b + 36)
Factor 5*w**3 - 100*w**2 + 385*w + 1210.
5*(w - 11)**2*(w + 2)
What is c in -24*c**5/7 - 354*c**4/7 + 114*c**3/7 + 354*c**2/7 - 90*c/7 = 0?
-15, -1, 0, 1/4, 1
Solve 3*k**5/7 + 3*k**4/7 - 3*k**3/7 - 3*k**2/7 = 0.
-1, 0, 1
Solve s**2/3 + 168*s + 21168 = 0 for s.
-252
Factor 6*h**2 - 772*h - 258.
2*(h - 129)*(3*h + 1)
Factor 2*z**3/5 + 100*z**2 - 3062*z/5 + 512.
2*(z - 5)*(z - 1)*(z + 256)/5
Determine k so that -3*k**3 - 657*k**2 - 3192*k + 3852 = 0.
-214, -6, 1
Find x such that x**5/2 - 13*x**4/2 + 12*x**3 + 44*x**2 - 152*x + 120 = 0.
-3, 2, 10
Let -4*l**4 + 36*l**3 - 52*l**2 - 180*l + 200 = 0. What is l?
-2, 1, 5
Solve 867*m**3 - 1377*m**2 + 585*m - 75 = 0.
5/17, 1
Factor 3*r**2/4 + 24*r + 93/4.
3*(r + 1)*(r + 31)/4
Find s such that 4*s**5/5 + 92*s**4/5 + 128*s**3 + 1184*s**2/5 - 64*s - 320 = 0.
-10, -2, 1
Factor 4*o**2 - 360*o + 704.
4*(o - 88)*(o - 2)
Suppose -2*a**5 