2
Factor -5*u**4 + 10*u**3 + 275*u**2 - 280*u.
-5*u*(u - 8)*(u - 1)*(u + 7)
Factor 4*q**4 - 44*q**3/5 + 8*q**2/5.
4*q**2*(q - 2)*(5*q - 1)/5
Find h such that 5*h**4 - 200*h**3 = 0.
0, 40
Find t such that -2*t**3/7 + 80*t**2/7 + 254*t/7 + 172/7 = 0.
-2, -1, 43
Find s, given that 3*s**2/8 - 15*s/8 - 21/4 = 0.
-2, 7
Factor -5*b**3/2 + 15*b**2/2 - 10.
-5*(b - 2)**2*(b + 1)/2
Solve 46*q**2/17 - 3500*q/17 + 304/17 = 0 for q.
2/23, 76
What is w in 135*w**3 + 210*w**2 - 140*w - 40 = 0?
-2, -2/9, 2/3
Find n such that -3*n**5/2 + 6*n**4 + 3*n**3/2 - 24*n**2 + 18*n = 0.
-2, 0, 1, 2, 3
Factor -20*f**3 - 85*f**2 - 65*f.
-5*f*(f + 1)*(4*f + 13)
Factor 2*v**2/5 + 234*v/5 + 232/5.
2*(v + 1)*(v + 116)/5
Determine x, given that 2*x**5/11 + 24*x**4/11 - 250*x**3/11 + 336*x**2/11 + 608*x/11 = 0.
-19, -1, 0, 4
Suppose -o**5/3 - o**4/3 + o**3/3 + o**2/3 = 0. Calculate o.
-1, 0, 1
Factor -4*u**5/5 + 24*u**4/5 - 36*u**3/5 + 16*u**2/5.
-4*u**2*(u - 4)*(u - 1)**2/5
Let 2*n**5/9 - 10*n**4/9 + 4*n**3/3 + 4*n**2/9 - 14*n/9 + 2/3 = 0. Calculate n.
-1, 1, 3
Factor -2*q**4/11 - 36*q**3/11 - 122*q**2/11 + 360*q/11 - 200/11.
-2*(q - 1)**2*(q + 10)**2/11
Factor -2*o**3/3 - 64*o**2/3 - 328*o/3 - 416/3.
-2*(o + 2)*(o + 4)*(o + 26)/3
What is r in 3*r**2/4 - 15*r/2 - 897/4 = 0?
-13, 23
Suppose -3*n**2/4 + 1083*n/4 = 0. What is n?
0, 361
Factor -q**4 + 239*q**3 + 723*q**2 + 725*q + 242.
-(q - 242)*(q + 1)**3
Factor w**3/3 - 50*w**2/3 + 97*w/3 - 16.
(w - 48)*(w - 1)**2/3
Suppose 4*g**2 - 16*g + 12 = 0. Calculate g.
1, 3
Factor 2*p**4/7 + 10*p**3/7 + 18*p**2/7 + 2*p + 4/7.
2*(p + 1)**3*(p + 2)/7
Factor 3*y**2 - 519*y.
3*y*(y - 173)
Solve -2*u**3/13 - 40*u**2/13 - 34*u/13 + 76/13 = 0 for u.
-19, -2, 1
Determine g so that -3*g**4 - 21*g**3/5 + 24*g**2/5 + 12*g/5 = 0.
-2, -2/5, 0, 1
Factor -u**2/2 + 1107*u/2.
-u*(u - 1107)/2
Factor -2*x**2 + 34*x + 1368.
-2*(x - 36)*(x + 19)
Factor -4*m**2 + 2952*m + 5920.
-4*(m - 740)*(m + 2)
Determine b, given that 3*b**2/4 - 729*b/2 + 726 = 0.
2, 484
Factor -2*p**5/3 - 20*p**4 - 506*p**3/3 - 280*p**2 - 392*p/3.
-2*p*(p + 1)**2*(p + 14)**2/3
Factor -v**4 - 11*v**3 - 3*v**2 + 171*v + 324.
-(v - 4)*(v + 3)**2*(v + 9)
Let 3*i**3 + 1641*i**2 + 223584*i - 225228 = 0. What is i?
-274, 1
Let -m**5/4 + 161*m**4/4 + m**3/4 - 161*m**2/4 = 0. What is m?
-1, 0, 1, 161
Determine h, given that -4*h**5/5 - 16*h**4/5 + 12*h**3/5 + 56*h**2/5 + 32*h/5 = 0.
-4, -1, 0, 2
Factor -552*m**3 - 404*m**2 - 24*m.
-4*m*(3*m + 2)*(46*m + 3)
Determine r, given that r**3/5 - 17*r**2/5 + 44*r/5 - 28/5 = 0.
1, 2, 14
Factor -2*u**2/7 - 502*u/7 + 1012/7.
-2*(u - 2)*(u + 253)/7
Factor -m**2/6 - 64*m/3.
-m*(m + 128)/6
What is a in -3*a**3/4 - 3*a**2/2 + 3*a + 6 = 0?
-2, 2
Factor -4*r**5 + 24*r**4 + 16*r**3 - 360*r**2 + 756*r - 432.
-4*(r - 3)**3*(r - 1)*(r + 4)
Solve -3*r**2 = 0 for r.
0
Suppose -3*f**2/4 - 2379*f/4 = 0. What is f?
-793, 0
Factor 5*r**2 + 120*r + 720.
5*(r + 12)**2
Factor -10*o**3/9 + 134*o**2/9 - 406*o/9 - 98/3.
-2*(o - 7)**2*(5*o + 3)/9
Solve -w**4 - 59*w**3 - 1003*w**2 - 3861*w - 2916 = 0.
-27, -4, -1
Determine p, given that 4*p**2 - 12*p = 0.
0, 3
Suppose 4*j**5 + 14*j**4 + 12*j**3 - 2*j**2 - 4*j = 0. What is j?
-2, -1, 0, 1/2
Factor -5*g**4 + 180*g**3 + 5*g**2 - 180*g.
-5*g*(g - 36)*(g - 1)*(g + 1)
Factor 165*l**2 + 12*l.
3*l*(55*l + 4)
What is k in -2*k**2 + 60*k + 128 = 0?
-2, 32
Solve 4*y**4 + 128*y**3 + 936*y**2 - 5408*y - 61516 = 0.
-13, 7
Find i such that 3*i**5 + 18*i**4 + 33*i**3 + 18*i**2 = 0.
-3, -2, -1, 0
Solve -3*j**4 + 9*j**3 + 3*j**2 - 9*j = 0 for j.
-1, 0, 1, 3
What is v in 16*v**5 + 140*v**4 + 204*v**3 + 52*v**2 - 28*v = 0?
-7, -1, 0, 1/4
Suppose 10*d**5 - 215*d**4 - 265*d**3 + 18035*d**2 + 9075*d - 9000 = 0. What is d?
-8, -1, 1/2, 15
Find i such that -4*i**2 + 25840*i - 41731600 = 0.
3230
Find r such that 9*r**3/5 + 861*r**2/5 + 1416*r/5 + 564/5 = 0.
-94, -1, -2/3
Let -y**3/4 + 5*y**2/4 - 7*y/4 + 3/4 = 0. What is y?
1, 3
Factor 7*f**3/9 - 993*f**2 + 2126*f/3 + 2552/9.
(f - 1276)*(f - 1)*(7*f + 2)/9
Factor -35*q**3 + 60*q**2 + 20*q.
-5*q*(q - 2)*(7*q + 2)
Factor -p**2/2 + 158*p - 315/2.
-(p - 315)*(p - 1)/2
Suppose -2*m**4 - 14*m**3 - 10*m**2 + 62*m + 60 = 0. What is m?
-5, -3, -1, 2
Factor -5*l**3/3 - 10*l**2/3 + 95*l/3 + 100/3.
-5*(l - 4)*(l + 1)*(l + 5)/3
Determine t so that -2*t**2/7 - 5534*t/7 = 0.
-2767, 0
Factor -63*o**4 - 201*o**3 - 225*o**2 - 99*o - 12.
-3*(o + 1)**3*(21*o + 4)
Determine g so that -4*g**4 + 4048*g**3 - 1024144*g**2 = 0.
0, 506
Factor -2*u**2 - 240*u - 7200.
-2*(u + 60)**2
Factor -6*q**4/7 - 12*q**3 - 366*q**2/7 - 72*q - 216/7.
-6*(q + 1)**2*(q + 6)**2/7
Factor -2*w**4/21 + 36*w**3/7 - 136*w**2/7 + 400*w/21.
-2*w*(w - 50)*(w - 2)**2/21
Determine v, given that -2*v**4 - 36*v**3 + 38*v**2 = 0.
-19, 0, 1
Determine l, given that 2*l**3/3 - 52*l**2/3 + 150*l - 432 = 0.
8, 9
Let -14*f**3/13 - 398*f**2/13 - 1218*f/13 - 450/13 = 0. What is f?
-25, -3, -3/7
Factor -5*q**3 + 95*q**2 + 65*q - 5915.
-5*(q - 13)**2*(q + 7)
Suppose 3*r**5 - 12*r**3 - 6*r**2 + 9*r + 6 = 0. What is r?
-1, 1, 2
Let -54*a**3/17 + 14148*a**2/17 - 1235592*a/17 + 35969456/17 = 0. What is a?
262/3
Find c, given that -55112*c**2/5 + 664*c/5 - 2/5 = 0.
1/166
Factor y**3/3 - 64*y/3.
y*(y - 8)*(y + 8)/3
Let 2*f**2 - 26*f + 44 = 0. What is f?
2, 11
Factor -5*q**3 + 5*q**2 + 5*q - 5.
-5*(q - 1)**2*(q + 1)
What is m in 9*m**2/5 + 168*m/5 + 108/5 = 0?
-18, -2/3
Let -12*k**4 + 158*k**3 + 1568*k**2/3 + 1016*k/3 + 128/3 = 0. What is k?
-2, -2/3, -1/6, 16
Let -4*a**5 + 12*a**4 + 4*a**3 - 44*a**2 + 48*a - 16 = 0. Calculate a.
-2, 1, 2
Factor -j**2/2 - 347*j + 695/2.
-(j - 1)*(j + 695)/2
Factor d**2/9 + 1843*d/9 - 1844/9.
(d - 1)*(d + 1844)/9
Factor -r**5/4 - 11*r**4/2 + 39*r**3 - 82*r**2 + 56*r.
-r*(r - 2)**3*(r + 28)/4
Find p, given that 2*p**3 + 478*p**2 + 4156*p + 3680 = 0.
-230, -8, -1
Factor -2*u**3 + 92*u**2 + 290*u + 196.
-2*(u - 49)*(u + 1)*(u + 2)
Suppose -r**2/9 + 28*r/9 - 196/9 = 0. Calculate r.
14
What is h in 5*h**4 - 550*h**3 + 1075*h**2 + 550*h - 1080 = 0?
-1, 1, 2, 108
Factor 3*b**3 + 4515*b**2 - 18096*b + 18108.
3*(b - 2)**2*(b + 1509)
Determine g, given that g**3/6 + 74*g**2/3 + 1778*g/3 + 3920 = 0.
-120, -14
Let 4394*t**4/11 - 570882*t**3/11 + 524472*t**2/11 - 161120*t/11 + 16512/11 = 0. Calculate t.
4/13, 129
Factor 3*p**3/4 + 87*p**2/4 + 81*p/2.
3*p*(p + 2)*(p + 27)/4
Determine o, given that -5*o**2 + 14420*o - 10396820 = 0.
1442
Determine n, given that -n**5/4 - 343*n**4/4 - 29923*n**3/4 - 87721*n**2/4 - 21760*n - 7225 = 0.
-170, -1
Let -2*u**2/17 + 176*u/17 - 344/17 = 0. What is u?
2, 86
Factor 5*f**3 - 40*f**2 - 855*f - 810.
5*(f - 18)*(f + 1)*(f + 9)
Factor 9*y**5/2 + 2805*y**4/2 + 1867*y**3/2 + 311*y**2/2.
y**2*(y + 311)*(3*y + 1)**2/2
Factor 5*l**4 + 320*l**3 + 2075*l**2 + 4620*l + 3420.
5*(l + 2)**2*(l + 3)*(l + 57)
Find y such that y**5/4 + 3*y**4/4 - 11*y**3/4 - 15*y**2/4 + 23*y/2 - 6 = 0.
-4, -3, 1, 2
Factor -2*z**2 + 4*z + 6.
-2*(z - 3)*(z + 1)
Factor l**2 - 33*l - 34.
(l - 34)*(l + 1)
Find c, given that 7*c**5/4 - 19*c**4/4 - 111*c**3/4 - 149*c**2/4 - 19*c - 3 = 0.
-1, -2/7, 6
Let 3*i**2 + 57*i + 252 = 0. What is i?
-12, -7
Solve -x**5/6 + 5*x**4/6 + 17*x**3/6 - 31*x**2/2 - 12*x + 72 = 0.
-3, 3, 4
Find a, given that a**4 - 6*a**3 + 8*a**2 = 0.
0, 2, 4
Factor v**4 - 6*v**2 - 8*v - 3.
(v - 3)*(v + 1)**3
Factor 3*o**2 + 246*o + 1776.
3*(o + 8)*(o + 74)
Solve -z**5/2 + 7*z**4 + 11*z**3/2 - 210*z**2 - 450*z = 0 for z.
-3, 0, 10
What is s in -3*s**3 - 11697*s**2 - 11395800*s + 11407500 = 0?
-1950, 1
Factor -5*c**3 + 35*c**2 - 30*c.
-5*c*(c - 6)*(c - 1)
Suppose 3680*b**3 - 7365*b**2 + 3690*b - 5 = 0. What is b?
1/736, 1
Factor g**2/2 + 5*g/2 + 3.
(g + 2)*(g + 3)/2
Determine s, given that 2*s**4 + 10*s**3 + 4*s**2 - 40*s - 48 = 0.
-3, -2, 2
Find c, given that c**5 - 8*c**4 + 7*c**3 + 52*c**2 - 44*c - 80 = 0.
-2, -1, 2, 4, 5
Factor 2*n**2/13 + 46*n/13 + 120/13.
2*(n + 3)*(n + 20)/13
Factor x**2/3 - 14*x/3 + 11.
(x - 11)*(x - 3)/3
Solve -2*s**5/17 - 26*s**4/17 = 0 for s.
-13, 0
Solve -2*l**2/7 + 18*l/7 + 44/7 = 0 for l.
-2, 11
Factor -15*x**3 - 177*x**2 + 231*x - 39.
-3*(x - 1)*(x + 13)*(5*x - 1)
What is g in -4*g**3 - 1424*g**2 + 1428*g = 0?
-357, 0, 1
Let -2*v**3 + 10*v**2 = 0. What is v?
0, 5
Let 3*r**2/5 + 3066*r/5 + 783363/5 = 0. Calculate r.
-