ppose 3*b**2 - 18*b + 15 = 0. What is b?
1, 5
Determine h, given that -4*h**3 + 360*h**2 + 364*h = 0.
-1, 0, 91
Suppose -p**4/4 + 9*p**3 + 43*p**2/4 - 111*p/2 = 0. What is p?
-3, 0, 2, 37
Factor -4*t**4 - 12*t**3 + 12*t**2 + 44*t + 24.
-4*(t - 2)*(t + 1)**2*(t + 3)
Solve 2*p**2/3 + 34*p - 104/3 = 0 for p.
-52, 1
Factor 4*j**2 - 304*j - 5040.
4*(j - 90)*(j + 14)
Factor -3*v**3 - 12*v**2 + 297*v - 702.
-3*(v - 6)*(v - 3)*(v + 13)
Find y such that -4*y**2 + 60*y = 0.
0, 15
Solve -2*c**5/11 + 256*c**4/11 = 0.
0, 128
Find p, given that 2*p**3 + 9782*p**2 + 11965830*p + 11956050 = 0.
-2445, -1
Determine s, given that 2*s**2/5 + 46*s/5 + 24 = 0.
-20, -3
Factor -3*h**2/4 + 3867*h/4 + 3873/2.
-3*(h - 1291)*(h + 2)/4
Factor 2*s**2/17 - 378*s/17 + 44.
2*(s - 187)*(s - 2)/17
Determine w so that -w**4/3 + 106*w**3/3 = 0.
0, 106
Suppose -x**4/10 + x**3 - 5*x**2/2 + 18/5 = 0. What is x?
-1, 2, 3, 6
Factor -15*u**2 + 33*u + 126.
-3*(u + 2)*(5*u - 21)
Solve -12*w**5 - 3*w**4 + 108*w**3 - 21*w**2 - 156*w - 36 = 0 for w.
-3, -1, -1/4, 2
Determine y, given that 5*y**2 - 70*y + 65 = 0.
1, 13
Factor 2*l**2 + 1360*l + 1358.
2*(l + 1)*(l + 679)
Factor -f**3/5 - 3*f**2/5 + 5*f - 21/5.
-(f - 3)*(f - 1)*(f + 7)/5
What is m in -13*m**4 - 2*m**3 + 13*m**2 + 2*m = 0?
-1, -2/13, 0, 1
Solve 3*l**2 + 75*l - 78 = 0.
-26, 1
Factor d**5/9 - 2*d**4/9 - d**3/3.
d**3*(d - 3)*(d + 1)/9
Suppose v**5/3 + 4*v**4 + 7*v**3 + 10*v**2/3 = 0. Calculate v.
-10, -1, 0
Factor 2*v**3/3 + 76*v**2 - 464*v/3.
2*v*(v - 2)*(v + 116)/3
What is t in 2*t**2/7 - 102*t/7 + 288/7 = 0?
3, 48
Factor 2*d**3 - 216*d**2 + 6042*d - 11236.
2*(d - 53)**2*(d - 2)
Find l such that -l**5/4 - 2*l**4 - 11*l**3/4 + 2*l**2 + 3*l = 0.
-6, -2, -1, 0, 1
Find c such that -5*c**3 - 9295*c**2 - 18575*c - 9285 = 0.
-1857, -1
Let t**2/8 + 637*t/2 + 405769/2 = 0. What is t?
-1274
Find a, given that -2*a**5 + 232*a**4 + 708*a**3 + 712*a**2 + 238*a = 0.
-1, 0, 119
Determine h so that 3*h**5 - 114*h**4 + 324*h**3 + 29160*h**2 - 279936*h = 0.
-16, 0, 18
Factor 3*t**2/7 - 1203*t/7.
3*t*(t - 401)/7
Factor 2*j**5/9 + 2*j**4/9 - 34*j**3/3 - 298*j**2/9 - 292*j/9 - 32/3.
2*(j - 8)*(j + 1)**3*(j + 6)/9
Solve x**5 + 3*x**4 - 30*x**3 - 128*x**2 - 96*x = 0 for x.
-4, -1, 0, 6
Find l such that 8*l**5/7 - 306*l**4/7 - 556*l**3/7 - 162*l**2/7 + 80*l/7 = 0.
-1, 0, 1/4, 40
Determine h so that h**2/6 + 26*h - 656/3 = 0.
-164, 8
Let -2*c**3 - 16*c**2 - 8*c + 96 = 0. Calculate c.
-6, -4, 2
Determine h so that -25*h**5 + 310*h**4 - 670*h**3 - 1880*h**2 - 385*h + 490 = 0.
-1, 2/5, 7
Determine k so that k**2 + 626*k + 625 = 0.
-625, -1
Factor 128*z**5/9 - 8672*z**4/9 + 107480*z**3/9 + 1306822*z**2/9 + 3991064*z/9 + 3843928/9.
2*(z - 38)**2*(4*z + 11)**3/9
Factor -4*u**3 + 44*u**2 + 72*u - 288.
-4*(u - 12)*(u - 2)*(u + 3)
Factor -g**2/9 - 50*g/3 - 584/9.
-(g + 4)*(g + 146)/9
Solve 2*c**3/5 - 32*c**2/5 - 22*c - 76/5 = 0 for c.
-2, -1, 19
Let 4*r**5 + 80*r**4 + 532*r**3 + 1352*r**2 + 1408*r + 512 = 0. What is r?
-8, -2, -1
Factor -2*k**5/11 + 10*k**4/11 + 18*k**3 + 702*k**2/11 + 756*k/11.
-2*k*(k - 14)*(k + 3)**3/11
Factor -4*o**4/7 - 740*o**3/7 - 1468*o**2/7 - 732*o/7.
-4*o*(o + 1)**2*(o + 183)/7
Determine s so that s**4/2 + 3*s**3/2 - 195*s**2/2 + 1225*s/2 - 1125 = 0.
-18, 5
Factor 4*l**2/5 - 8*l/5.
4*l*(l - 2)/5
Factor 50*b**3 + 2520*b**2 - 9558*b + 8748.
2*(b + 54)*(5*b - 9)**2
Let 2*m**4/13 + 526*m**3/13 + 1046*m**2/13 + 522*m/13 = 0. What is m?
-261, -1, 0
Factor 5*f**4 + 15*f**3 - 20*f**2 - 60*f.
5*f*(f - 2)*(f + 2)*(f + 3)
Solve 23*o**3/4 + 310*o**2 + 571*o - 52 = 0.
-52, -2, 2/23
Factor q**2/3 - 124*q/3 + 41.
(q - 123)*(q - 1)/3
Find i, given that -i**2 - 6*i - 9 = 0.
-3
Let -15*t**3 - 3910*t**2 + 1305*t = 0. Calculate t.
-261, 0, 1/3
Factor 2*s**2/9 + 312*s - 5624/9.
2*(s - 2)*(s + 1406)/9
Let -2*d**2 + 814*d - 812 = 0. Calculate d.
1, 406
Factor -26*r**3/7 + 22*r**2/7 + 4*r/7.
-2*r*(r - 1)*(13*r + 2)/7
Factor 2*m**4 - 572*m**3 + 34122*m**2 + 968968*m + 5739272.
2*(m - 154)**2*(m + 11)**2
What is a in -3*a**4 - 318*a**3 + 324*a**2 + 318*a - 321 = 0?
-107, -1, 1
Factor -2*o**3/7 + 6*o**2 + 720*o/7 + 2376/7.
-2*(o - 33)*(o + 6)**2/7
Factor 5*l**4/2 + 15*l**3 - 15*l**2/2 - 50*l - 30.
5*(l - 2)*(l + 1)**2*(l + 6)/2
Let g**3/9 + 50*g**2/9 - 157*g/9 + 106/9 = 0. What is g?
-53, 1, 2
Let 4*w**5 + 16*w**4 - 32*w**3 - 40*w**2 + 92*w - 40 = 0. Calculate w.
-5, -2, 1
Factor -5*d**5 + 120*d**4 - 585*d**3 - 1690*d**2.
-5*d**2*(d - 13)**2*(d + 2)
Find x such that -x**5 - 20*x**4 - 10*x**3 + 180*x**2 + 171*x = 0.
-19, -3, -1, 0, 3
Solve 4*t**3/3 + 4*t**2 - 52*t/3 - 20 = 0.
-5, -1, 3
Factor n**3/4 - 69*n**2/4 - 141*n/4 - 71/4.
(n - 71)*(n + 1)**2/4
What is f in -f**3/4 + 3*f**2/4 + 27*f/2 = 0?
-6, 0, 9
Find b such that -25*b**4 + 890*b**3 + 3235*b**2 + 3100*b + 780 = 0.
-2, -1, -2/5, 39
Let 5*y**5 + 25*y**4 - 45*y**3 - 85*y**2 + 40*y + 60 = 0. Calculate y.
-6, -1, 1, 2
Factor 5*s**5 + 35*s**4 - 15*s**3 - 95*s**2 + 70*s.
5*s*(s - 1)**2*(s + 2)*(s + 7)
Factor 5*a**3 + 260*a**2 - 1100*a + 1120.
5*(a - 2)**2*(a + 56)
Suppose 15*s**5 - 111*s**4 + 252*s**3 - 204*s**2 + 48*s = 0. Calculate s.
0, 2/5, 1, 2, 4
Factor 5*z**2 - 325*z - 1380.
5*(z - 69)*(z + 4)
Factor -5*z**4 - 255*z**3 + 1075*z**2 - 1365*z + 550.
-5*(z - 2)*(z - 1)**2*(z + 55)
Factor 8*n**3/7 + 346*n**2/7 + 60*n.
2*n*(n + 42)*(4*n + 5)/7
Factor u**2/6 + 2*u/3 - 7/2.
(u - 3)*(u + 7)/6
Factor -2*z**2/3 - 1408*z/3.
-2*z*(z + 704)/3
What is o in -o**5/4 + 5*o**4/4 - 3*o**3/4 - 9*o**2/4 = 0?
-1, 0, 3
Factor 3*k**5 - 21*k**3 - 18*k**2.
3*k**2*(k - 3)*(k + 1)*(k + 2)
Factor 3*z**4 + 156*z**3 + 303*z**2 + 150*z.
3*z*(z + 1)**2*(z + 50)
Factor 5*c**4/2 + 45*c**3/2 + 70*c**2 + 90*c + 40.
5*(c + 1)*(c + 2)**2*(c + 4)/2
Suppose 3*h**5/2 - 45*h**4/2 + 57*h**3 - 36*h**2 = 0. What is h?
0, 1, 2, 12
Factor -l**4/2 + 11*l**3/2 + 51*l**2 + 16*l - 272.
-(l - 17)*(l - 2)*(l + 4)**2/2
Suppose 5*j**2 - 1010*j + 51005 = 0. Calculate j.
101
What is r in 5*r**4 + 420*r**3 = 0?
-84, 0
Factor -2838*n**2/7 - 2834*n/7 + 4/7.
-2*(n + 1)*(1419*n - 2)/7
Factor 5*z**2 + 4975*z.
5*z*(z + 995)
Find c, given that -5*c**4 - 770*c**3 - 2280*c**2 - 2270*c - 755 = 0.
-151, -1
Solve -10*u**5 + 18*u**4 + 34*u**3 - 34*u**2 - 48*u - 8 = 0 for u.
-1, -1/5, 2
Solve -q**2/6 + 14*q - 294 = 0 for q.
42
Factor 12*u**3 + 27*u**2 + 18*u + 3.
3*(u + 1)**2*(4*u + 1)
Find y such that -y**4 - 9*y**3 - 27*y**2 - 27*y = 0.
-3, 0
Determine c, given that -4*c**5/3 + 16*c**4 - 4*c**3/3 - 216*c**2 - 1072*c/3 - 160 = 0.
-2, -1, 6, 10
Determine i, given that -i**3 + 3*i**2 + 105*i - 539 = 0.
-11, 7
Factor -2*j**3/11 + 14*j**2/11 + 8*j/11 - 56/11.
-2*(j - 7)*(j - 2)*(j + 2)/11
Suppose 3*u**3 + 168*u**2 - 531*u = 0. What is u?
-59, 0, 3
Factor -4*h**2/7 - 8856*h/7 + 8860/7.
-4*(h - 1)*(h + 2215)/7
Let -5*s**2 - 155*s = 0. Calculate s.
-31, 0
Find l, given that -5*l**4 - 195*l**3 - 540*l**2 = 0.
-36, -3, 0
Suppose -x**2/4 + 79*x/4 + 123/2 = 0. What is x?
-3, 82
Determine f so that 2*f**5/7 + 40*f**4/7 + 264*f**3/7 + 640*f**2/7 + 512*f/7 = 0.
-8, -2, 0
Suppose -v**4/2 + 47*v**3/2 + 3*v**2/2 - 139*v/2 - 47 = 0. What is v?
-1, 2, 47
Factor 2*j**2/9 - 22*j/3 - 24.
2*(j - 36)*(j + 3)/9
Determine j so that 57*j**2/2 - 69*j + 24 = 0.
8/19, 2
Factor 722*s**2/11 + 456*s/11 + 72/11.
2*(19*s + 6)**2/11
Factor 3*b**5/4 - 981*b**4/4 + 42255*b**3/2 - 354213*b**2/2 + 2073519*b/4 - 2047761/4.
3*(b - 159)**2*(b - 3)**3/4
What is k in -98*k**4/3 - 94*k**3/3 + 34*k**2 + 94*k/3 - 4/3 = 0?
-1, 2/49, 1
Let s**2 + 1140*s - 2284 = 0. What is s?
-1142, 2
Suppose s**4/3 - 4*s**3/3 + 4*s**2/3 = 0. What is s?
0, 2
Factor -3*u**4 - 9*u**3 + 282*u**2 + 1764*u + 2376.
-3*(u - 11)*(u + 2)*(u + 6)**2
Let -2*j**2/11 - 246*j/11 - 1180/11 = 0. Calculate j.
-118, -5
What is h in -3*h**5 + 282*h**4 + 1467*h**3 + 1794*h**2 - 1164*h - 2376 = 0?
-2, 1, 99
Factor k**2/2 + 5*k/2 - 42.
(k - 7)*(k + 12)/2
Factor 4*y**2 - 1584*y + 156816.
4*(y - 198)**2
Factor 2*s**2 - 744*s + 69192.
2*(s - 186)**2
Factor -v**2 + 69*v - 590.
-(v - 59)*(v - 10)
Factor 3*y**2/4 + 6*y.
3*y*(y + 8)/4
Solve 2*v**4 - 34*v**3 + 52*v**2 + 136*v - 240 = 0 for v.
-2, 2, 15
Factor t**2 + 27*t - 90.
(t - 3)*(t + 30)
Factor 3*r**2/2 + 12*r + 45/2.
3*(r + 3)*(r + 5)/2
Suppose 4*x**4 - 24*x**3 + 36*x**2 - 16*x = 0. Calculate x.
0, 1, 4
Factor 