 97*s**3 + 179*s**2 - 143*s + 42.
(s - 2)*(s - 1)**2*(19*s - 21)
What is z in 80*z**4 + 1572*z**3 + 2436*z**2 + 1088*z + 144 = 0?
-18, -1, -2/5, -1/4
Find i, given that i**4/4 - 85*i**3/2 + 337*i**2/4 - 42*i = 0.
0, 1, 168
Determine g so that 2*g**2 + 12400*g + 19220000 = 0.
-3100
Solve -4*r**2 + 116*r = 0.
0, 29
Factor 3*w**2/8 - 51*w/2 + 99/2.
3*(w - 66)*(w - 2)/8
Determine p so that -3*p**5 - 60*p**4 - 339*p**3 - 210*p**2 + 1692*p - 1080 = 0.
-10, -6, 1
Factor -4*z**2 + 1908*z + 1912.
-4*(z - 478)*(z + 1)
Factor -238*z**3 + 248*z**2 + 466*z - 20.
-2*(z - 2)*(z + 1)*(119*z - 5)
Solve 5*x**2 - 140*x + 980 = 0 for x.
14
Suppose -q**5/4 - 7*q**4/4 + 57*q**3/4 - 41*q**2/4 - 14*q + 12 = 0. What is q?
-12, -1, 1, 4
Factor 1372*f**3/3 + 4704*f**2 + 16128*f + 18432.
4*(7*f + 24)**3/3
Solve o**2 + 246*o + 729 = 0 for o.
-243, -3
Factor -d**5/4 - 4*d**4 - 39*d**3/2 - 28*d**2 - 49*d/4.
-d*(d + 1)**2*(d + 7)**2/4
Let -22*i**3/7 + 116*i**2/7 - 30*i/7 = 0. What is i?
0, 3/11, 5
Determine c, given that 2*c**3 - 1528*c**2/3 - 170*c = 0.
-1/3, 0, 255
Suppose -9*w**4/4 + 60*w**3 - 597*w**2/4 + 255*w/2 - 36 = 0. What is w?
2/3, 1, 24
Factor y**3/2 - 13*y**2/2 - 29*y/2 - 15/2.
(y - 15)*(y + 1)**2/2
Let -3*r**3 - 7119*r**2 - 5631129*r - 1484741013 = 0. What is r?
-791
What is u in u**2/2 - 2*u - 21/2 = 0?
-3, 7
Solve 50*d**5 + 10*d**4 - 532*d**3 + 808*d**2 - 400*d + 64 = 0.
-4, 2/5, 1, 2
Factor 4*v**3 - 124*v**2 + 536*v - 416.
4*(v - 26)*(v - 4)*(v - 1)
Factor 2*x**2/3 - 66*x + 196/3.
2*(x - 98)*(x - 1)/3
What is s in -3*s**3 + 3357*s**2 - 940797*s + 937443 = 0?
1, 559
Find u such that -u**2/3 - 2*u - 8/3 = 0.
-4, -2
What is m in m**4/2 + m**3/2 - 3*m**2/2 - m/2 + 1 = 0?
-2, -1, 1
Find h, given that -4*h**4 + 60*h**3 + 28*h**2 - 396*h - 360 = 0.
-2, -1, 3, 15
Suppose -2*a**2/5 + 30*a + 468/5 = 0. What is a?
-3, 78
Find u, given that -2*u**4/7 - 2234*u**3/7 - 6690*u**2/7 - 6686*u/7 - 2228/7 = 0.
-1114, -1
Suppose -g**2/3 + 61*g/3 - 20 = 0. Calculate g.
1, 60
Factor -2*d**3 - 30*d**2 - 136*d - 192.
-2*(d + 3)*(d + 4)*(d + 8)
Let -3*y**3/8 + 57*y**2/8 - 75*y/4 + 12 = 0. What is y?
1, 2, 16
Factor t**4/2 + t**3 - 3*t**2/2.
t**2*(t - 1)*(t + 3)/2
What is q in 5*q**5 + 885*q**4 - 1785*q**3 + 895*q**2 = 0?
-179, 0, 1
Suppose g**3/6 - 187*g**2/6 + 365*g/2 - 543/2 = 0. Calculate g.
3, 181
Factor -2*l**2 - 336*l - 14112.
-2*(l + 84)**2
Solve 5*s**4 - 10*s**3 + 10*s - 5 = 0.
-1, 1
Determine c so that -9*c**4/2 + 65*c**3/2 + 128*c**2 - 30*c = 0.
-3, 0, 2/9, 10
Factor 3*s**5 + 87*s**4 + 750*s**3 + 1758*s**2 + 1599*s + 507.
3*(s + 1)**3*(s + 13)**2
Let 2*f**5 + 230*f**4 + 9110*f**3 + 148770*f**2 + 1069200*f + 2822688 = 0. Calculate f.
-44, -9
Factor -5*l**3 - 210*l**2 - 585*l.
-5*l*(l + 3)*(l + 39)
Suppose -5*h**3 + 3745*h**2 - 706835*h + 2086935 = 0. Calculate h.
3, 373
What is y in 3*y**3 + 62*y**2 + 159*y = 0?
-53/3, -3, 0
Factor 2*r**3/7 - 138*r**2/7.
2*r**2*(r - 69)/7
Factor s**4 - 60*s**3 + 900*s**2.
s**2*(s - 30)**2
Let -2*v**5/5 + 16*v**4/5 + 4*v**3 - 16*v**2/5 - 18*v/5 = 0. Calculate v.
-1, 0, 1, 9
Factor -2*k**2/19 - 14*k/19 - 12/19.
-2*(k + 1)*(k + 6)/19
Factor 5*c**4/3 + 15*c**3 + 50*c**2 + 220*c/3 + 40.
5*(c + 2)**3*(c + 3)/3
Find s such that -9*s**2/5 + 3*s - 6/5 = 0.
2/3, 1
Find z such that 31250*z**5/9 - 132500*z**4/9 + 155600*z**3/9 - 32416*z**2/9 + 2464*z/9 - 64/9 = 0.
2/25, 2
Factor -2*l**4 + 22*l**3 + 272*l**2 + 608*l.
-2*l*(l - 19)*(l + 4)**2
Factor 4*g**4 + 4*g**3 - 72*g**2 - 208*g - 160.
4*(g - 5)*(g + 2)**3
Let -2*q**4/17 - 44*q**3/17 - 330*q**2/17 - 936*q/17 - 648/17 = 0. Calculate q.
-9, -6, -1
Factor -12*g**3/5 - 64*g**2/5 + 48*g/5.
-4*g*(g + 6)*(3*g - 2)/5
Suppose -4*n**3 - 72*n**2 + 244*n - 168 = 0. Calculate n.
-21, 1, 2
Determine i, given that 2*i**3/5 - 154*i**2/5 + 302*i/5 - 30 = 0.
1, 75
Determine n, given that -6*n**2 - 14*n + 20 = 0.
-10/3, 1
Factor -4*u**3 - 12*u**2 + 472*u + 480.
-4*(u - 10)*(u + 1)*(u + 12)
Find t such that 3*t**5 - 6*t**4 - 36*t**3 - 42*t**2 - 15*t = 0.
-1, 0, 5
Factor -3*r**3 + 5*r**2 - 2*r.
-r*(r - 1)*(3*r - 2)
Determine q, given that 2*q**3 + 80*q**2/7 - 24*q/7 = 0.
-6, 0, 2/7
Suppose -4*q**2 + 32*q + 132 = 0. What is q?
-3, 11
What is f in 4*f**3 + 41980*f**2 + 110166012*f + 110124036 = 0?
-5247, -1
Find g, given that 115*g**3 + 240*g**2 - 325*g - 30 = 0.
-3, -2/23, 1
Determine f, given that -45*f**5 + 450*f**4 - 1135*f**3 + 110*f**2 + 1260*f + 360 = 0.
-2/3, -1/3, 2, 3, 6
Factor 3*n**2 - 66*n + 288.
3*(n - 16)*(n - 6)
Determine k so that 4*k**2/7 - 226*k/7 - 120 = 0.
-7/2, 60
Determine y, given that y**2 + 44*y + 484 = 0.
-22
Factor -2*g**2/13 - 174*g/13 - 340/13.
-2*(g + 2)*(g + 85)/13
Factor -8*p**2/21 - 6*p/7 + 6/7.
-2*(p + 3)*(4*p - 3)/21
Determine u so that 3*u**3 - 24*u**2 + 15*u + 42 = 0.
-1, 2, 7
Factor -m**4/2 + 29*m**3/2 + 15*m**2.
-m**2*(m - 30)*(m + 1)/2
Factor -11*f**3 - 47*f**2 - 56*f - 12.
-(f + 2)**2*(11*f + 3)
Find d such that 4*d**3/7 - 296*d**2/7 + 6256*d/7 - 27744/7 = 0.
6, 34
Factor 5*x**2 - 170*x - 175.
5*(x - 35)*(x + 1)
Find f, given that -4*f**5 + 32*f**4 - 16*f**3 - 88*f**2 + 20*f + 56 = 0.
-1, 1, 2, 7
Factor 3*u**4/5 - 6*u**3/5 - 3*u**2/5 + 6*u/5.
3*u*(u - 2)*(u - 1)*(u + 1)/5
Let -2*d**5 - 62*d**4 - 348*d**3 - 232*d**2 + 1424*d + 1920 = 0. Calculate d.
-24, -5, -2, 2
Determine s, given that 2*s**5/5 + 76*s**4/5 + 74*s**3/5 = 0.
-37, -1, 0
Find x such that 2*x**4/23 + 14*x**3/23 - 6*x**2/23 - 38*x/23 + 28/23 = 0.
-7, -2, 1
Let -h**4/8 - 5*h**3/8 + 9*h**2/8 + 81*h/8 + 27/2 = 0. Calculate h.
-3, 4
Find i, given that 2*i**4/13 - 250*i**3/13 + 7686*i**2/13 + 7938*i/13 = 0.
-1, 0, 63
Suppose -b**3/7 - 8*b**2/7 - 9*b/7 + 18/7 = 0. What is b?
-6, -3, 1
Factor o**2/2 + 523*o/2 + 261.
(o + 1)*(o + 522)/2
Factor 3*n**2/8 + 1059*n/8 + 1053/4.
3*(n + 2)*(n + 351)/8
Factor 2*c**2/21 - 2*c/3 + 4/7.
2*(c - 6)*(c - 1)/21
Determine p so that 2*p**2/9 - 206*p/3 - 620/9 = 0.
-1, 310
Factor -3*p**4/7 + 855*p**3/7 - 59616*p**2/7 - 186624*p/7.
-3*p*(p - 144)**2*(p + 3)/7
Factor -a**4/2 + 3*a**3/2 + a**2 - 6*a + 4.
-(a - 2)**2*(a - 1)*(a + 2)/2
Factor 6*g**4 - g**3 - 18*g**2 - 9*g + 2.
(g - 2)*(g + 1)**2*(6*g - 1)
Let -3*y**4/2 + 75*y**3 - 396*y**2 = 0. What is y?
0, 6, 44
Suppose 4*j**2 - 338*j/3 + 56/3 = 0. What is j?
1/6, 28
Let 5*r**4/6 - 5*r**3 + 15*r**2/2 - 10*r/3 = 0. Calculate r.
0, 1, 4
Determine u, given that -5*u**2 - 995*u + 20710 = 0.
-218, 19
Suppose 51*u**4/8 + 3*u**3/2 - 153*u**2/8 - 69*u/4 - 3 = 0. What is u?
-1, -4/17, 2
Let -2*d**3/5 + 352*d**2/5 + 734*d + 1860 = 0. Calculate d.
-5, 186
What is g in -g**5/5 + 44*g**4/5 + 48*g**3/5 - 134*g**2/5 - 47*g/5 + 18 = 0?
-2, -1, 1, 45
Let -2*l**4/13 - 152*l**3/13 - 3034*l**2/13 - 5476*l/13 = 0. Calculate l.
-37, -2, 0
Solve 5*u**3/4 + 5*u**2 + 25*u/4 + 5/2 = 0.
-2, -1
Solve 2*v**5 + 12*v**4 + 8*v**3 - 12*v**2 - 10*v = 0 for v.
-5, -1, 0, 1
Suppose -14*v**4/17 - 24*v**3/17 + 358*v**2/17 + 600*v/17 - 200/17 = 0. Calculate v.
-5, -2, 2/7, 5
Let -4*l**5 + 52*l**4 - 72*l**3 - 640*l**2 - 512*l = 0. Calculate l.
-2, -1, 0, 8
Determine v so that -2*v**5/11 - 24*v**4/11 + 6*v**3/11 + 68*v**2/11 - 48*v/11 = 0.
-12, -2, 0, 1
Solve l**2/3 - 46*l/3 = 0 for l.
0, 46
Find w such that -2*w**4/7 - 148*w**3/7 - 424*w**2 - 980*w + 7350 = 0.
-35, -7, 3
What is w in -2*w**5/21 + 4*w**4/21 + 2*w**3/21 - 4*w**2/21 = 0?
-1, 0, 1, 2
Solve 2*d**4/3 - 74*d**3/15 + 88*d**2/15 - 8*d/5 = 0 for d.
0, 2/5, 1, 6
Determine t so that 2*t**2/23 - 292*t/23 + 576/23 = 0.
2, 144
What is u in -1444*u**3 - 2432*u**2 - 1024*u = 0?
-16/19, 0
Factor t**4/5 + 184*t**3/5 + 2232*t**2 + 215264*t/5 - 476656/5.
(t - 2)*(t + 62)**3/5
Factor 5*t**2/8 + 309*t/8 + 61/2.
(t + 61)*(5*t + 4)/8
Determine o so that -3*o**2/4 - 612*o - 124848 = 0.
-408
Let -h**2/4 + 151*h/2 - 22801/4 = 0. What is h?
151
Find o, given that 1900*o**2/7 + 544*o + 16/7 = 0.
-2, -2/475
Determine w so that 2*w**5/3 + 44*w**4 + 726*w**3 = 0.
-33, 0
Factor -2*r**3/3 + 82*r**2/3 - 170*r - 198.
-2*(r - 33)*(r - 9)*(r + 1)/3
Factor 4*v**3/3 - 176*v**2 - 16*v/3 + 704.
4*(v - 132)*(v - 2)*(v + 2)/3
Let o**3/5 - 2354*o**2/5 - 471*o = 0. Calculate o.
-1, 0, 2355
Determine q, given that q**3 + 423*q**2 - 1704*q + 1708 = 0.
-427, 2
Solve -b**5/9 + 52*b**4/9 - 92*b**3/3 = 0 for b.
0, 6, 46
Suppose 27*x**3 + 141*x**2 + 192*x + 36 = 0. What 