*n**2 + 12474*n - 9801 = 0. Calculate n.
-33, 1, 3
Determine j so that -2*j**2 + 222*j - 220 = 0.
1, 110
Solve -5*i**3 + 295*i**2 = 0 for i.
0, 59
Factor 2*b**2/11 - 24*b/11 + 72/11.
2*(b - 6)**2/11
Factor -m**3 + 367*m**2 - 33488*m - 33856.
-(m - 184)**2*(m + 1)
Solve -2*y**5/9 - 32*y**4/9 + 26*y**3/3 + 92*y**2/9 - 280*y/9 + 16 = 0.
-18, -2, 1, 2
Find d such that -d**5/4 + 7*d**4 - 193*d**3/4 - 43*d**2/2 + 161*d - 98 = 0.
-2, 1, 14
Let g**2/4 + 7*g/4 + 5/2 = 0. What is g?
-5, -2
Solve -3*x**3/2 + 39*x**2/2 - 24*x - 288 = 0 for x.
-3, 8
Suppose -2*p**3/9 + 326*p**2/9 - 10222*p/9 + 90250/9 = 0. Calculate p.
19, 125
Find g, given that -2*g**2/5 - 13204*g/5 - 21793202/5 = 0.
-3301
Suppose -u**5 + 3*u**4 + u**3 - 11*u**2 + 12*u - 4 = 0. What is u?
-2, 1, 2
Factor -2*f**3/13 + 38*f**2/13 + 176*f/13 + 184/13.
-2*(f - 23)*(f + 2)**2/13
Suppose -25*f**4 - 1835*f**3 - 705*f**2 + 1835*f + 730 = 0. Calculate f.
-73, -1, -2/5, 1
Determine c so that 56*c**4 - 52*c**3 - 116*c**2 - 8*c = 0.
-1, -1/14, 0, 2
Let 11*t**4/2 - 441*t**3 + 1887*t**2/2 - 586*t + 78 = 0. Calculate t.
2/11, 1, 78
Factor -2*x**3/5 + 4*x**2/5 + 128*x/5 + 64.
-2*(x - 10)*(x + 4)**2/5
Determine x so that -4*x**2 + 4620*x = 0.
0, 1155
Factor -2*l**2/17 + 984*l - 2057544.
-2*(l - 4182)**2/17
Find o, given that -3*o**5/2 - 33*o**4/2 - 81*o**3/2 - 75*o**2/2 - 12*o = 0.
-8, -1, 0
What is y in -y**2/4 + 5*y/4 = 0?
0, 5
Factor 2*f**4/9 + 8*f**3/9 + 4*f**2/9 - 8*f/9 - 2/3.
2*(f - 1)*(f + 1)**2*(f + 3)/9
Factor -2*q**2/7 - 264*q/7 - 774/7.
-2*(q + 3)*(q + 129)/7
Factor -2*c**3/3 - 26*c**2/3 - 64*c/3 - 40/3.
-2*(c + 1)*(c + 2)*(c + 10)/3
Factor 5*z**2 - 60*z.
5*z*(z - 12)
Determine x, given that x**5/3 - 4*x**4/3 - 8*x**3 + 54*x**2 - 99*x + 54 = 0.
-6, 1, 3
Factor -5*g**3 - 80*g**2 + 175*g - 90.
-5*(g - 1)**2*(g + 18)
What is o in 2*o**5/13 + 40*o**4/13 + 14*o**3 + 184*o**2/13 - 184*o/13 - 224/13 = 0?
-14, -4, -2, -1, 1
Factor -u**5/4 - 2*u**4.
-u**4*(u + 8)/4
Suppose -2*r**5 + 3624*r**4 - 2462508*r**3 + 743677416*r**2 - 84221467362*r = 0. What is r?
0, 453
Suppose -4*p**3 + 1248*p**2 - 129792*p + 4499456 = 0. Calculate p.
104
What is g in -2*g**2/5 - 22*g/5 + 84/5 = 0?
-14, 3
Factor -2*n**2 - 6900*n - 5951250.
-2*(n + 1725)**2
Let -4*q**3 - 1464*q**2 - 2916*q - 1456 = 0. Calculate q.
-364, -1
Suppose -2*f**4/9 - 52*f**3/9 - 170*f**2/9 + 56*f/3 + 88 = 0. What is f?
-22, -3, 2
Factor -3*k**4 + 1467*k**3 - 175617*k**2 - 915135*k.
-3*k*(k - 247)**2*(k + 5)
Let o**3/6 - 37*o**2/6 + 83*o/3 - 32 = 0. What is o?
2, 3, 32
Suppose -3*u**2 + 39*u = 0. Calculate u.
0, 13
Determine z, given that -z**2 - 72*z - 71 = 0.
-71, -1
Find w such that -6*w**5/13 - 58*w**4/13 - 46*w**3/13 + 298*w**2/13 + 196*w/13 - 96/13 = 0.
-8, -3, -1, 1/3, 2
Factor 2*o**3/5 - 56*o**2/5 + 104*o/5.
2*o*(o - 26)*(o - 2)/5
Factor 2*y**4/11 - 14*y**3/11 + 32*y**2/11 - 24*y/11.
2*y*(y - 3)*(y - 2)**2/11
Find a, given that 8*a**2/13 - 122*a/13 = 0.
0, 61/4
What is o in -2*o**3 + 60*o**2 + 62*o = 0?
-1, 0, 31
Let -21*p**3 + 27*p**2 - 6*p = 0. Calculate p.
0, 2/7, 1
Factor -5*o**3 + 530*o**2 - 14045*o.
-5*o*(o - 53)**2
Factor 3*f**2 + 117*f - 246.
3*(f - 2)*(f + 41)
Determine a, given that -2*a**3/9 - 44*a**2/9 + 86*a/3 - 36 = 0.
-27, 2, 3
Determine v, given that -8*v**2 + 1804*v + 904 = 0.
-1/2, 226
Factor s**4 + 4*s**3 + 3*s**2.
s**2*(s + 1)*(s + 3)
Factor -x**4 - 1256*x**3 - 394384*x**2.
-x**2*(x + 628)**2
Determine g, given that 2*g**5 - 18*g**4 + 4*g**3 + 104*g**2 - 48*g - 128 = 0.
-2, -1, 2, 8
What is w in 135*w**2 - 5*w = 0?
0, 1/27
Solve 2*y**3 + 60*y**2 + 450*y = 0.
-15, 0
Suppose -y**5/3 + 17*y**4/3 - 19*y**3 + 67*y**2/3 - 26*y/3 = 0. What is y?
0, 1, 2, 13
Factor -2*p**2 - 2*p + 12.
-2*(p - 2)*(p + 3)
Factor 2*r**3/5 - 92*r**2/5 + 262*r/5 - 172/5.
2*(r - 43)*(r - 2)*(r - 1)/5
Determine p, given that -5*p**3/3 - 1900*p**2/3 + 3835*p/3 + 1910 = 0.
-382, -1, 3
Find s such that -15*s**5/2 + 19*s**4/2 + 75*s**3/2 + 21*s**2/2 - 16*s - 6 = 0.
-1, -2/5, 2/3, 3
Solve 3*x**5 + 36*x**4 + 111*x**3 - 54*x**2 - 384*x + 288 = 0 for x.
-6, -4, 1
Determine q so that 2*q**3/7 - 4*q**2/7 - 22*q/7 + 24/7 = 0.
-3, 1, 4
Factor -h**2/2 + 5*h/2 + 7.
-(h - 7)*(h + 2)/2
Determine z, given that z**2/9 - 107*z/9 + 460/3 = 0.
15, 92
Suppose 6*s**2/11 - 10*s/11 - 4/11 = 0. Calculate s.
-1/3, 2
Suppose -5*u**4 + 47*u**3/3 + 3*u**2 - 47*u/3 + 2 = 0. Calculate u.
-1, 2/15, 1, 3
Find a, given that 2*a**2 + 418*a - 420 = 0.
-210, 1
Factor -2*r**3/5 + 226*r**2 - 160176*r/5 + 159048/5.
-2*(r - 282)**2*(r - 1)/5
Factor 3*i**3/5 - 36*i**2/5 + 21*i.
3*i*(i - 7)*(i - 5)/5
Determine i so that 2*i**5/5 - 2*i**4/5 - 2*i**3 - 6*i**2/5 = 0.
-1, 0, 3
Find q, given that 3*q**4 - 363*q**3 - 1107*q**2 - 1113*q - 372 = 0.
-1, 124
Factor -4*v**4 - 236*v**3 + 484*v**2 - 244*v.
-4*v*(v - 1)**2*(v + 61)
Find q, given that 3*q**4/8 + 195*q**3/8 + 555*q**2/8 - 195*q/8 - 279/4 = 0.
-62, -3, -1, 1
Factor 3*a**4 + 21*a**3 + 45*a**2 + 27*a.
3*a*(a + 1)*(a + 3)**2
What is l in -4*l**3/7 + 12*l**2/7 - 16/7 = 0?
-1, 2
Factor -s**4/2 + 8*s**3 - 39*s**2/2 - 2*s + 26.
-(s - 13)*(s - 2)**2*(s + 1)/2
Suppose r**2/2 - 74*r + 2738 = 0. Calculate r.
74
Find a, given that -a**5 + 13*a**4 - 60*a**3 + 112*a**2 - 64*a = 0.
0, 1, 4
Find c, given that -4*c**2 + 12970*c - 6484 = 0.
1/2, 3242
Find p, given that -5*p**5 + 930*p**4 - 43245*p**3 = 0.
0, 93
What is g in 3*g**4/2 + 324*g**3 + 18441*g**2 + 102060*g + 297675/2 = 0?
-105, -3
What is l in 2*l**4/9 - 20*l**3/9 + 16*l**2/9 + 212*l/9 - 70/3 = 0?
-3, 1, 5, 7
Solve -5*k**3 + 20*k**2 + 105*k = 0.
-3, 0, 7
Find s such that -2*s**2 + 20920*s - 54705800 = 0.
5230
Factor -2*d**2/3 + 64*d/3 - 512/3.
-2*(d - 16)**2/3
Find r such that -4*r**2 - 16*r + 48 = 0.
-6, 2
Solve -3*h**5/5 + 2*h**4 + 21*h**3 - 72*h**2 + 108*h/5 = 0.
-6, 0, 1/3, 3, 6
Determine l, given that -l**2/3 + 5272*l/3 - 6948496/3 = 0.
2636
Factor -4*x**3/7 - 200*x**2/7 - 1756*x/7 - 1560/7.
-4*(x + 1)*(x + 10)*(x + 39)/7
Determine f so that -f**3/8 - 53*f**2/8 - 25*f - 49/2 = 0.
-49, -2
Factor h**5 + 5*h**4 - 7*h**3 - 5*h**2 + 6*h.
h*(h - 1)**2*(h + 1)*(h + 6)
Solve v**2 + 890*v - 1784 = 0 for v.
-892, 2
Determine y so that y**4/6 + y**3/2 - 2*y**2 - 26*y/3 - 8 = 0.
-3, -2, 4
Factor -4*q**2 - 2688*q - 451584.
-4*(q + 336)**2
Factor -p**5/5 + 12*p**4/5 - 48*p**3/5 + 64*p**2/5.
-p**2*(p - 4)**3/5
Solve -3*u**2/8 - 27*u/4 - 243/8 = 0.
-9
Determine j so that 3*j**5/2 + 9*j**4 + 15*j**3 - 33*j/2 - 9 = 0.
-3, -2, -1, 1
Factor -2*m**2/9 + 54*m + 1976/9.
-2*(m - 247)*(m + 4)/9
Find i such that 3*i**3/2 + 9*i**2 - 60*i = 0.
-10, 0, 4
Factor 3*v**3 + 54*v**2 + 324*v + 648.
3*(v + 6)**3
What is d in d**2/4 + 197*d/2 + 196 = 0?
-392, -2
Let j**5/6 + 5*j**4/6 - 31*j**3/6 + 43*j**2/6 - 3*j = 0. Calculate j.
-9, 0, 1, 2
Factor -2*i**5/19 - 288*i**4/19 - 8520*i**3/19 + 131168*i**2/19 - 564096*i/19 + 778752/19.
-2*(i - 4)**3*(i + 78)**2/19
Let 2*l**2 + 76*l - 2806 = 0. Calculate l.
-61, 23
Factor 5*l**5 + 675*l**4 + 23775*l**3 + 67325*l**2 + 66000*l + 21780.
5*(l + 1)**3*(l + 66)**2
Let 3*z**4/4 - 21*z**3/4 - 27*z**2/4 + 21*z/4 + 6 = 0. What is z?
-1, 1, 8
Factor -x**4/8 + x**3 + 6*x**2 - 32*x - 128.
-(x - 8)**2*(x + 4)**2/8
Factor 2*t**4/3 - 2*t**3 - 2*t**2 + 14*t/3 + 4.
2*(t - 3)*(t - 2)*(t + 1)**2/3
Let -2*s**4/5 - 30*s**3 - 138*s**2/5 + 734*s/5 - 444/5 = 0. What is s?
-74, -3, 1
What is f in -f**4/3 + 22*f**3/3 - 89*f**2/3 + 68*f/3 = 0?
0, 1, 4, 17
Factor 14*d**2/3 + 152*d/3 - 64.
2*(d + 12)*(7*d - 8)/3
Find k such that 4*k**3 - 20*k**2 - 164*k + 180 = 0.
-5, 1, 9
Factor -22*l**2 - 12*l/7.
-2*l*(77*l + 6)/7
Find g, given that 21*g**2/4 + 267*g/4 - 39/2 = 0.
-13, 2/7
What is m in m**4 + m**3 - m**2 - m = 0?
-1, 0, 1
Suppose 6*y**5 - 118*y**4 - 170*y**3 + 38*y**2 + 84*y = 0. Calculate y.
-1, 0, 2/3, 21
Find i, given that -33614*i**3 - 4116*i**2 - 168*i - 16/7 = 0.
-2/49
Suppose -56*r**5/9 + 2*r**4/9 + 20*r**3/3 - 2*r**2/9 - 4*r/9 = 0. What is r?
-1, -1/4, 0, 2/7, 1
Factor -b**2/6 - 496*b/3 - 123008/3.
-(b + 496)**2/6
Factor 4*r**2/9 + 46*r/9 + 22/9.
2*(r + 11)*(2*r + 1)/9
Factor 3*t**5/5 + 12*t**4/5 - 108*t**3/5 + 222*t**2/5 - 183*t/5 + 54/5.
3*(t - 2)*(t - 1)**3*(t + 9)/5
Determine w so that -w**5/2 + 37*w**4/2 + w**3 - 37*w**2 - w/2 + 37/2 = 0.
-1, 1, 37
Factor -30*c**4/11 + 364*c**3/11 - 48*c**2/11.
-2*c**2*