- 81*y**4/2 - 156*y**3 - 843*y**2/4 - 885*y/8 - 75/4 = 0.
-5, -1, -2/3, -1/3
Determine f, given that -2*f**2/9 + 200*f/9 - 434/3 = 0.
7, 93
Factor -4*b**4/5 + 492*b**3/5 + 996*b**2/5 + 100*b.
-4*b*(b - 125)*(b + 1)**2/5
Let -2*u**4/19 + 26*u**3/19 - 82*u**2/19 + 94*u/19 - 36/19 = 0. Calculate u.
1, 2, 9
Determine z, given that 24*z**3 - 705*z**2 + 3957*z - 1386 = 0.
3/8, 7, 22
Factor -4*o**2/9 + 76*o/9 + 80/9.
-4*(o - 20)*(o + 1)/9
Factor -z**4 + 103*z**3 + 105*z**2 - 103*z - 104.
-(z - 104)*(z - 1)*(z + 1)**2
Factor -2*h**5/5 - 54*h**4/5 + 1722*h**3/5 - 13426*h**2/5 + 32928*h/5.
-2*h*(h - 7)**3*(h + 48)/5
Let 10*b**5/7 - 8*b**4/7 - 6*b**3 + 32*b**2/7 + 8*b/7 = 0. What is b?
-2, -1/5, 0, 1, 2
Solve -a**2/2 - 79*a - 1057/2 = 0 for a.
-151, -7
Let n**4 - 19*n**3 + 48*n**2 = 0. Calculate n.
0, 3, 16
Factor 2*r**4/5 - 48*r**3/5 + 288*r**2/5 - 512*r/5.
2*r*(r - 16)*(r - 4)**2/5
Find q such that -4*q**5 + 296*q**4 + 312*q**3 - 896*q**2 - 308*q + 600 = 0.
-2, -1, 1, 75
Find h, given that 2*h**2/13 - 30*h/13 - 32/13 = 0.
-1, 16
Factor -2*w**2/9 + 38*w/9 + 40/9.
-2*(w - 20)*(w + 1)/9
Let b**5/3 - 9*b**4 + 193*b**3/3 - 39*b**2 - 338*b/3 = 0. What is b?
-1, 0, 2, 13
Factor -2*x**3/3 + 3454*x**2 - 5965058*x + 10301655166/3.
-2*(x - 1727)**3/3
Solve w**3/2 - 3*w**2/2 - w/2 + 3/2 = 0 for w.
-1, 1, 3
Factor -4*x**3/5 + 124*x**2/5 - 112*x/5 - 48.
-4*(x - 30)*(x - 2)*(x + 1)/5
Factor -w**3/4 - 2*w**2 + 75*w/4 - 63/2.
-(w - 3)**2*(w + 14)/4
Factor -4*l**5 - 612*l**4 + 2496*l**3 - 2512*l**2.
-4*l**2*(l - 2)**2*(l + 157)
What is p in -4*p**4 - 28*p**3 = 0?
-7, 0
Factor -v**5 + 30*v**4 + 97*v**3 + 66*v**2.
-v**2*(v - 33)*(v + 1)*(v + 2)
Suppose -10*u**3/3 - 5*u**2 + 160*u/3 - 25 = 0. What is u?
-5, 1/2, 3
Factor 4*b**3 + 116*b**2 - 308*b - 1860.
4*(b - 5)*(b + 3)*(b + 31)
Find n, given that -4*n**4 + 16*n**3 - 8*n**2 - 16*n + 12 = 0.
-1, 1, 3
Factor 4*x**3 + 224*x**2 + 220*x.
4*x*(x + 1)*(x + 55)
Let 2*u**3 - 582*u**2 + 56454*u - 1825346 = 0. Calculate u.
97
Solve 64*s**5 - 144*s**4 - 148*s**3 + 9*s**2 + 9*s = 0.
-3/4, -1/4, 0, 1/4, 3
Solve 3*i**4/2 - 79*i**3/2 + 252*i**2 - 222*i - 272 = 0 for i.
-2/3, 2, 8, 17
Factor 2*x**5 - 34*x**4 + 60*x**3 + 4*x**2 - 62*x + 30.
2*(x - 15)*(x - 1)**3*(x + 1)
Factor -4*c**2 - 88*c - 484.
-4*(c + 11)**2
Find t, given that 3*t**5 + 86*t**4 - 932*t**3/3 + 296*t**2 - 256*t/3 = 0.
-32, 0, 2/3, 2
Suppose 34*i**3 + 44*i**2 + 10*i = 0. What is i?
-1, -5/17, 0
Let -3*p**3 - 30*p**2 - 51*p + 84 = 0. What is p?
-7, -4, 1
Factor -15*t**2/8 + 48*t - 225/8.
-3*(t - 25)*(5*t - 3)/8
Determine t so that 2*t**5/9 + 20*t**4/3 + 554*t**3/9 + 520*t**2/3 + 1352*t/9 = 0.
-13, -2, 0
Solve f**3/5 - 2*f**2/5 - 11*f/5 + 12/5 = 0.
-3, 1, 4
Determine q, given that -5*q**4 + 85*q**3 - 80*q**2 = 0.
0, 1, 16
Let 4*y**3 + 40*y**2 + 64*y = 0. Calculate y.
-8, -2, 0
Solve -3*s**4 + 6*s**3 + 219*s**2 + 210*s = 0 for s.
-7, -1, 0, 10
Suppose -2*l**5/15 + 6*l**4/5 - 2*l**3/5 - 146*l**2/15 - 64*l/5 - 24/5 = 0. Calculate l.
-1, 6
Suppose 5*n**2 - 1655*n + 1650 = 0. What is n?
1, 330
Factor -p**5/5 + 13*p**4/5 + 29*p**3/5 + 3*p**2.
-p**2*(p - 15)*(p + 1)**2/5
Determine x, given that 27*x**3/2 + 267*x**2 + 1290*x - 300 = 0.
-10, 2/9
Factor -4*r**4 - 192*r**3 - 352*r**2 + 768*r + 1472.
-4*(r - 2)*(r + 2)**2*(r + 46)
Find d such that -3*d**4/7 - 108*d**3 - 46080*d**2/7 + 196608*d/7 = 0.
-128, 0, 4
Factor l**3/10 - 3*l**2/10 + 2/5.
(l - 2)**2*(l + 1)/10
What is w in w**2 - 582*w + 84681 = 0?
291
Solve -2*g**4/5 - 2*g**3 + 96*g**2/5 + 224*g/5 - 256 = 0.
-8, -5, 4
Solve -133*g**2 + 800*g - 12 = 0.
2/133, 6
Factor 944784*r**3 - 332424*r**2 + 38988*r - 13718/9.
2*(162*r - 19)**3/9
Factor -2*d**2/3 - 176*d - 11616.
-2*(d + 132)**2/3
Factor -3*f**3 + 846*f**2 - 4968*f.
-3*f*(f - 276)*(f - 6)
Let -5*p**3 - 1380*p**2 - 5460*p - 5440 = 0. What is p?
-272, -2
Determine x so that -x**3/4 - 2*x**2 + 5*x = 0.
-10, 0, 2
Solve -3*w**3/7 - 102*w**2/7 + 444*w/7 - 456/7 = 0 for w.
-38, 2
Determine d, given that -3*d**5/2 - 6*d**4 + 27*d**3 - 30*d**2 + 21*d/2 = 0.
-7, 0, 1
Solve 3*v**2/4 + 8865*v + 26196075 = 0.
-5910
Determine g so that -27*g**3 + 1773*g**2 - 1173*g + 195 = 0.
1/3, 65
Factor n**3/3 - 4*n**2 - 27*n - 68/3.
(n - 17)*(n + 1)*(n + 4)/3
Factor -3*i**2 + 27*i - 42.
-3*(i - 7)*(i - 2)
Factor 2*t**2/5 - 1028*t/5 + 132098/5.
2*(t - 257)**2/5
Determine x, given that x**2/8 + 37*x/4 + 1369/8 = 0.
-37
Factor -348*u**2 - 657*u/2 - 21.
-3*(8*u + 7)*(29*u + 2)/2
Suppose 25*v**5/2 + 1030*v**4 + 46745*v**3/2 + 89135*v**2 + 108030*v + 30420 = 0. What is v?
-39, -2, -2/5
Find u, given that 3*u**2 - 39*u - 42 = 0.
-1, 14
Let -2*k**5/9 - 10*k**4/9 + 6*k**3 + 242*k**2/9 - 380*k/9 - 400/3 = 0. What is k?
-5, -2, 3, 4
Factor 45*s**3 + 1110*s**2 + 1745*s + 460.
5*(s + 23)*(3*s + 1)*(3*s + 4)
Factor 5*u**4/3 + 650*u**3/3 + 640*u**2 + 1910*u/3 + 635/3.
5*(u + 1)**3*(u + 127)/3
Determine z so that z**5/7 - 5*z**4 + 407*z**3/7 - 1573*z**2/7 = 0.
0, 11, 13
Factor 4*z**3 + 24*z**2 - 28*z.
4*z*(z - 1)*(z + 7)
Factor 3*x**2 + 603*x - 606.
3*(x - 1)*(x + 202)
Factor -x**5/4 - 3*x**4/4 - x**3/2.
-x**3*(x + 1)*(x + 2)/4
Factor -35*z**3 + 3000*z**2 - 63855*z - 18490.
-5*(z - 43)**2*(7*z + 2)
Solve -y**4 + 11*y**3 - 45*y**2 + 81*y - 54 = 0.
2, 3
Factor -2*u**3/7 - 2*u**2/7.
-2*u**2*(u + 1)/7
Determine p so that -p**3/11 + 13*p**2/11 - 144/11 = 0.
-3, 4, 12
Solve 2*q**4 - 246*q**3 - 250*q**2 + 246*q + 248 = 0.
-1, 1, 124
Find t such that 4*t**3 + 3028*t**2 - 6068*t + 3036 = 0.
-759, 1
Let -2*i**3/13 - 34*i**2/13 - 62*i/13 - 30/13 = 0. Calculate i.
-15, -1
Suppose -4*j**2/3 - 7240*j/3 - 3276100/3 = 0. Calculate j.
-905
Factor 2*c**2/7 - 10*c + 300/7.
2*(c - 30)*(c - 5)/7
Factor -s**3 - 37*s**2 - 36*s.
-s*(s + 1)*(s + 36)
Factor 3*k**2 - 5688*k + 2696112.
3*(k - 948)**2
Suppose v**5/2 + 30*v**4 + 476*v**3 + 693*v**2 - 4553*v/2 - 2523 = 0. What is v?
-29, -3, -1, 2
Factor -2*u**3/3 + 8*u**2/3 + 8*u/3 - 32/3.
-2*(u - 4)*(u - 2)*(u + 2)/3
Solve -20*a**4 - 55*a**3 + 160*a**2 + 285*a - 450 = 0.
-3, 5/4, 2
Factor u**3 - 159*u**2 + 156*u + 316.
(u - 158)*(u - 2)*(u + 1)
Suppose 2*z**3 - 12*z**2 - 30*z - 16 = 0. Calculate z.
-1, 8
Solve 3*a**4/4 - 93*a**3/2 - 579*a**2/4 - 195*a/2 = 0 for a.
-2, -1, 0, 65
Suppose 16*d**2 - 420*d + 104 = 0. What is d?
1/4, 26
Factor -425*r**3/6 - 865*r**2/6 - 455*r/6 - 5/2.
-5*(r + 1)**2*(85*r + 3)/6
Factor 5*x**2/3 + 195*x - 1190/3.
5*(x - 2)*(x + 119)/3
Factor 2*z**2 - 402*z + 400.
2*(z - 200)*(z - 1)
Factor -60*l**2 + 155*l - 70.
-5*(l - 2)*(12*l - 7)
Factor 3*r**4/2 + 6*r**3 - 9*r**2/2 - 27*r.
3*r*(r - 2)*(r + 3)**2/2
Solve 4*l**5 + 48*l**4 - 108*l**3 + 56*l**2 = 0 for l.
-14, 0, 1
Suppose -2*h**5/3 - 2*h**4/3 = 0. What is h?
-1, 0
Suppose -4*x**5 + 307*x**4 + 89*x**3 - 929*x**2 + 383*x + 154 = 0. Calculate x.
-2, -1/4, 1, 77
Factor -h**4 + 39*h**3 - 315*h**2 - 1323*h.
-h*(h - 21)**2*(h + 3)
Determine i, given that 50*i**3/3 + 10*i**2 - 6*i + 2/3 = 0.
-1, 1/5
Solve -12*f**5 - 8*f**4 + 5*f**3 + f**2 = 0 for f.
-1, -1/6, 0, 1/2
Suppose 4*i**4/3 - 80*i**3/3 + 68*i**2/3 + 152*i/3 = 0. Calculate i.
-1, 0, 2, 19
Let -4*k**5 - 105*k**4 - 698*k**3 - 64*k**2 + 702*k + 169 = 0. What is k?
-13, -1, -1/4, 1
Let -8*f**5 - 256*f**4 + 278*f**3 + 466*f**2 + 132*f = 0. Calculate f.
-33, -1/2, 0, 2
Factor -2*l**4 + 6*l**3 - 8*l.
-2*l*(l - 2)**2*(l + 1)
Suppose 3*o**2 + 2094*o + 6255 = 0. Calculate o.
-695, -3
Find r such that r**3/4 - 523*r**2/2 + 68643*r - 136242 = 0.
2, 522
Solve -24*s**5 + 1900*s**4 + 1604*s**3 - 320*s**2 = 0.
-1, 0, 1/6, 80
What is v in -9*v**2/7 + 321*v/7 - 30 = 0?
2/3, 35
Determine i so that -12*i**4 - 1004*i**3 - 1624*i**2 + 1328*i + 1312 = 0.
-82, -2, -2/3, 1
What is z in 4*z**5 - 112*z**4 + 764*z**3 + 112*z**2 - 768*z = 0?
-1, 0, 1, 12, 16
Find g, given that -2*g**4 + 4*g**3 + 6*g**2 - 16*g + 8 = 0.
-2, 1, 2
Solve d**5 + 7*d**4 - 27*d**3 + 29*d**2 - 10*d = 0.
-10, 0, 1
Factor 4900*s**2 + 280*s + 4.
4*(35*s + 1)**2
Factor 4*i**2 + 86*i + 156.
2*(i + 2)*(2*i + 39)
Factor -3*z**3/2 - 291*z**2/2 + 3135*z/2 - 8025/2.
-3*(z - 5)**2*(z + 107)/2
Factor 2*x**2/3 + 8*x/3 - 64/3.
2*(x - 4)*(x + 8)/3
Suppose -2*y**4 - 130*y**3/3 - 140*y**2 - 440*y/3 - 48 = 0. Calculate y.
-18, -2, -1, -2/3
Let 720*j**3 - 2877*j**2 + 2868*j + 12 = 0. What is j?
-1/240, 2
What is b in -2*b**3/17 - 14*b*