11
Find y, given that -y**4/2 + y**3/2 + 3*y**2/2 - y/2 - 1 = 0.
-1, 1, 2
Find v, given that -v**2/3 - 412*v/3 - 42436/3 = 0.
-206
Determine y, given that -58*y**3 - 3998*y**2/3 + 4268*y/3 - 32 = 0.
-24, 2/87, 1
What is o in o**2 - 32*o - 33 = 0?
-1, 33
Let -5*o**2 + 30*o + 1955 = 0. Calculate o.
-17, 23
Find y such that y**2 + 332*y + 27556 = 0.
-166
Suppose -x**4 + 64*x**3 - 1536*x**2 + 16384*x - 65536 = 0. What is x?
16
What is a in -a**2/2 - 95*a + 191/2 = 0?
-191, 1
Determine b, given that -4*b**3 + 104*b**2 - 868*b + 2352 = 0.
7, 12
Factor 3*h**3 + 15*h**2 - 6*h - 72.
3*(h - 2)*(h + 3)*(h + 4)
What is a in 144*a**4 - 312*a**3 + 225*a**2 - 54*a = 0?
0, 2/3, 3/4
Factor -s**2/6 + 27*s + 163/6.
-(s - 163)*(s + 1)/6
Factor 3*x**4/7 - 33*x**3/7 + 27*x**2/7 + 51*x + 42.
3*(x - 7)**2*(x + 1)*(x + 2)/7
Find b, given that -98*b**2/15 - 66*b/5 - 4/15 = 0.
-2, -1/49
Factor -4*r**4 + 42*r**3 - 98*r**2 - 60*r.
-2*r*(r - 6)*(r - 5)*(2*r + 1)
Suppose 2*s**4/11 - 29*s**3/11 - 16*s**2/11 + 15*s/11 = 0. What is s?
-1, 0, 1/2, 15
Let -x**2 - 188*x - 8836 = 0. What is x?
-94
Let 5*i**2 - 245*i/2 - 265 = 0. What is i?
-2, 53/2
Determine i, given that 5*i**3 + 90*i**2 + 85*i = 0.
-17, -1, 0
Factor -13*b**3/2 + 12*b**2 + 2*b.
-b*(b - 2)*(13*b + 2)/2
Suppose -2*o**3 + 150*o**2 - 3750*o + 31250 = 0. What is o?
25
Find m such that -m**2/2 + 225*m/2 - 112 = 0.
1, 224
Factor h**3/5 + 86*h**2/5.
h**2*(h + 86)/5
Factor 2*a**2/17 + 20*a + 672/17.
2*(a + 2)*(a + 168)/17
Solve -64*x**5 - 816*x**4 - 2892*x**3 - 1873*x**2 - 444*x - 36 = 0.
-6, -1/4
What is d in d**5/2 - 3*d**4/2 - 7*d**3/2 + 7*d**2/2 + 9*d + 4 = 0?
-1, 2, 4
Determine f, given that -5*f**5 + 30*f**4 + 90*f**3 - 1080*f**2 + 2835*f - 2430 = 0.
-6, 3
Factor -2*w**3/3 + 2*w**2 + 56*w/3.
-2*w*(w - 7)*(w + 4)/3
What is i in -5*i**5 - 40*i**4 + 150*i**3 - 160*i**2 + 55*i = 0?
-11, 0, 1
Factor u**4 - 2*u**3 - 12*u**2 - 14*u - 5.
(u - 5)*(u + 1)**3
Factor 2*p**3/3 + 24*p**2 + 256*p/3.
2*p*(p + 4)*(p + 32)/3
Factor 3*d**4 - 39*d**3 + 36*d**2.
3*d**2*(d - 12)*(d - 1)
Let -2*y**4/11 + 6*y**3/11 + 174*y**2/11 - 358*y/11 + 180/11 = 0. Calculate y.
-9, 1, 10
Factor 4*v**4 - 12*v**3 - 8*v**2 + 48*v - 32.
4*(v - 2)**2*(v - 1)*(v + 2)
Let -3*f**2/5 - 2106*f/5 + 1269 = 0. Calculate f.
-705, 3
Factor -4*s**2 - 6176*s - 2383936.
-4*(s + 772)**2
Solve -2*l**2 + 170*l - 3588 = 0 for l.
39, 46
Solve 5*o**3 + 15*o**2 - 5*o - 15 = 0 for o.
-3, -1, 1
Factor 3*r**3 + 342*r**2.
3*r**2*(r + 114)
Let -3*a**4/7 + 3*a**3 - 51*a**2/7 + 51*a/7 - 18/7 = 0. Calculate a.
1, 2, 3
Solve 4*z**5 + 12*z**4 - 28*z**3 - 28*z**2 + 72*z - 32 = 0.
-4, -2, 1
What is v in -5*v**2 - 45*v + 180 = 0?
-12, 3
Factor -2*v**2 - 3292*v - 1354658.
-2*(v + 823)**2
Let -2*h**3/9 - 32*h**2 = 0. What is h?
-144, 0
Factor -b**2 + b/4 + 5/4.
-(b + 1)*(4*b - 5)/4
Factor -s**5/3 - 11*s**4/3 + 71*s**3/3 - 137*s**2/3 + 110*s/3 - 32/3.
-(s - 2)*(s - 1)**3*(s + 16)/3
Solve 10*y**3 + 184*y**2 + 882*y + 324 = 0 for y.
-9, -2/5
Find y such that -10*y**2 + 1028*y + 206 = 0.
-1/5, 103
Factor -2*q**3/3 - 466*q**2/3 - 926*q/3 - 154.
-2*(q + 1)**2*(q + 231)/3
Factor 54*i**3/5 - 33588*i**2/5 + 6963912*i/5 - 481283696/5.
2*(3*i - 622)**3/5
Find f, given that f**4/6 - 7*f**3/6 + 5*f**2/2 - 3*f/2 = 0.
0, 1, 3
Factor 15*s**4/2 - s**3 - 15*s**2/2 + s.
s*(s - 1)*(s + 1)*(15*s - 2)/2
Factor 5*i**2 - 10*i - 15.
5*(i - 3)*(i + 1)
Suppose 2*s**2/19 - 1208*s/19 + 182408/19 = 0. What is s?
302
Let -2*t**3/9 - 40*t**2/9 - 200*t/9 = 0. What is t?
-10, 0
Factor 5*f**4 - 1350*f**3 + 93785*f**2 - 359100*f + 353780.
5*(f - 133)**2*(f - 2)**2
Find b such that -b**5/2 - b**4/2 + 3*b**3/2 + b**2/2 - b = 0.
-2, -1, 0, 1
Suppose -2*i**5/5 + 32*i**4/5 - 48*i**3/5 - 128*i**2 - 160*i = 0. Calculate i.
-2, 0, 10
Determine r so that -2*r**4/5 + 4*r**3 - 46*r**2/5 + 28*r/5 = 0.
0, 1, 2, 7
Let 4*a**3 + 44*a**2 + 12*a - 540 = 0. What is a?
-9, -5, 3
Find a such that -21*a**4 - 1014*a**3 - 16416*a**2 - 90624*a - 24576 = 0.
-16, -2/7
Let -5*v**4/3 - 265*v**3/3 + 545*v**2/3 - 275*v/3 = 0. Calculate v.
-55, 0, 1
Let -5*z**2 - 85*z + 1540 = 0. What is z?
-28, 11
Factor 16*g**5 + 216*g**4 + 897*g**3 + 1058*g**2.
g**2*(g + 2)*(4*g + 23)**2
Factor -l**4 + 7*l**3 - 7*l**2 - 15*l.
-l*(l - 5)*(l - 3)*(l + 1)
Find m, given that 5*m**5/4 - 585*m**4 - 5*m**3/2 + 1170*m**2 + 5*m/4 - 585 = 0.
-1, 1, 468
Determine r so that 4*r**2/3 - 748*r/3 + 248 = 0.
1, 186
Factor k**2/4 + 3*k/4 + 1/2.
(k + 1)*(k + 2)/4
Determine p so that -3*p**2/2 - 105*p/2 + 441 = 0.
-42, 7
Suppose -3*m**3 - 33*m**2 + 3*m + 33 = 0. What is m?
-11, -1, 1
Solve -95*k**3 + 10*k**2 + 95*k - 10 = 0 for k.
-1, 2/19, 1
Find i such that -i**4/2 + 101*i**3/2 - 244*i**2 + 386*i - 192 = 0.
1, 2, 96
Factor -5*s**3 + 25*s**2 + 30*s.
-5*s*(s - 6)*(s + 1)
Factor 2*b**2/9 - 122*b/9 + 40/3.
2*(b - 60)*(b - 1)/9
Let -49*x**5/3 + 70*x**4/3 + 52*x**3/3 + 8*x**2/3 = 0. Calculate x.
-2/7, 0, 2
Determine f so that 5*f**3 - 65*f**2 + 200*f - 180 = 0.
2, 9
Solve 2*r**3/5 + 122*r**2/5 + 384*r + 360 = 0.
-30, -1
Solve -2*q**4/13 - 44*q**3/13 - 138*q**2/13 + 88*q - 104 = 0.
-13, 2
Factor -2780*i**2 - 655*i + 10.
-5*(4*i + 1)*(139*i - 2)
What is z in z**4 + 17*z**3 + 91*z**2 + 147*z = 0?
-7, -3, 0
Determine t, given that 4*t**4/7 + 16*t**3/7 + 8*t**2/7 - 16*t/7 - 12/7 = 0.
-3, -1, 1
Solve -56*o**5 - 98*o**4 - 262*o**3/7 + 8*o**2 + 24*o/7 = 0 for o.
-1, -3/4, -2/7, 0, 2/7
Factor -s**4/4 + 59*s**3/2 - 3481*s**2/4.
-s**2*(s - 59)**2/4
Suppose 2*o**5 + 14*o**4 + 14*o**3 - 38*o**2 - 32*o + 40 = 0. Calculate o.
-5, -2, 1
Factor -2*g**3 - 164*g**2 - 3362*g.
-2*g*(g + 41)**2
Factor 4*w**5 - 180*w**4 + 984*w**3 - 1904*w**2 + 1248*w.
4*w*(w - 39)*(w - 2)**3
Suppose -10*o**4/9 - 32*o**3/9 + 6*o**2 + 92*o/9 + 16/9 = 0. What is o?
-4, -1, -1/5, 2
Find y such that 46*y**2 + 6*y = 0.
-3/23, 0
Suppose -4*k**2 + 540*k + 544 = 0. Calculate k.
-1, 136
Factor -4*d**2 - 212*d + 3432.
-4*(d - 13)*(d + 66)
Let -n**3 - 382*n**2 + 767*n - 384 = 0. What is n?
-384, 1
Factor -2*x**4/9 + 2*x**3.
-2*x**3*(x - 9)/9
Factor u**5/2 - 3*u**4/2 - u**3 + 6*u**2 - 4*u.
u*(u - 2)**2*(u - 1)*(u + 2)/2
Determine c, given that 88*c**2 + 2692*c - 1368 = 0.
-342/11, 1/2
Factor x**3/2 + 2*x**2 - x/2 - 2.
(x - 1)*(x + 1)*(x + 4)/2
Suppose -2*b**2 - 12*b + 54 = 0. What is b?
-9, 3
Factor -2*x**2 - 20*x + 342.
-2*(x - 9)*(x + 19)
Factor 3*t**5 - 15*t**4 + 18*t**3 + 12*t**2 - 24*t.
3*t*(t - 2)**3*(t + 1)
Factor 5*n**2 + 5*n - 100.
5*(n - 4)*(n + 5)
Find r, given that -r**3 + 2219*r**2/4 - 1661*r/4 - 277/2 = 0.
-1/4, 1, 554
Solve -t**2/3 - 97*t/3 - 32 = 0 for t.
-96, -1
Determine q, given that 81*q**4 - 468*q**3 + 595*q**2 + 468*q - 676 = 0.
-1, 1, 26/9
Factor v**2/3 - 571*v/3 - 572/3.
(v - 572)*(v + 1)/3
Determine m, given that 2*m**2/3 + 42*m - 128/3 = 0.
-64, 1
Solve -3*i**2/2 + 117*i/2 - 57 = 0 for i.
1, 38
Factor -d**4/4 - d**3/4.
-d**3*(d + 1)/4
Factor -2*u**3/5 + 54*u**2/5 - 372*u/5 + 64.
-2*(u - 16)*(u - 10)*(u - 1)/5
Suppose -4*u**5/5 - 28*u**4/5 - 8*u**3/5 + 232*u**2/5 + 396*u/5 + 36 = 0. Calculate u.
-5, -3, -1, 3
Find s, given that s**2/4 - s/2 = 0.
0, 2
Let -5*d**3 + 35*d**2 - 30*d = 0. Calculate d.
0, 1, 6
Let 510*x**3 - 489*x**2 - 1041*x - 42 = 0. What is x?
-1, -7/170, 2
Determine f, given that -2*f**2/9 - 6*f + 1040/9 = 0.
-40, 13
Factor -6*y**3 + 10*y**2 + 8*y - 8.
-2*(y - 2)*(y + 1)*(3*y - 2)
Determine s so that 3*s**5/2 - 75*s**4 - 486*s**3 - 993*s**2 - 1671*s/2 - 252 = 0.
-3, -1, 56
Factor -52*u**2 - 1360*u - 208.
-4*(u + 26)*(13*u + 2)
Factor 3*h**3 + 10923*h**2 + 9937197*h - 9948123.
3*(h - 1)*(h + 1821)**2
Factor -h**4 + 12*h**3 - 4*h**2 - 192*h - 256.
-(h - 8)**2*(h + 2)**2
What is r in 2*r**4/3 + 4*r**3 - 36*r - 54 = 0?
-3, 3
Solve 2*u**4 - 2088*u**3 + 817452*u**2 - 142236648*u + 9280941282 = 0 for u.
261
Solve 320*h**5 + 2960*h**4 + 7125*h**3 + 5485*h**2 + 1060*h + 60 = 0 for h.
-6, -2, -1, -1/8
Factor -5*v**2 - 155*v - 150.
-5*(v + 1)*(v + 30)
Find d, given that 80*d**5 - 65*d**3 + 15*d**2 = 0.
-1, 0, 1/4, 3/4
Determine m so that 804*m**3/5 + 6428*m**2/5 + 12832*m/5 - 64/5 = 0.
-4, 1/201
Factor -d**3 - 70*d**2 + 292*d - 296.
-(d - 2)**2*(d + 74)
Let -5*b**3 + 45*b**2 - 70*b = 0. Calculate b.
0, 2, 7
Solve 5*p**5 + 30*p**4 + 5*p**3 - 240*p**2 - 460*p - 240 = 0.
-4, -2, -1, 3
Solve 4323*u**2/4 + 2163*u + 3