*w**2 - 150*w = 0. Calculate w.
-10, 0, 3
Let -2*f**2 + 1412*f - 249218 = 0. What is f?
353
Find i, given that -10*i**5 - 2*i**4 + 10*i**3 + 2*i**2 = 0.
-1, -1/5, 0, 1
Determine w, given that 3*w**5 - 15*w**4 - 3*w**3 + 123*w**2 - 216*w + 108 = 0.
-3, 1, 2, 3
Let -x**3 + 17*x**2 - 15*x - 225 = 0. What is x?
-3, 5, 15
Suppose 2*c**4/9 + 26*c**3/9 + 4*c**2 - 320*c/9 + 256/9 = 0. What is c?
-8, 1, 2
Find o, given that -46*o**4/7 - 2*o**3/7 = 0.
-1/23, 0
Let -9*w**3 - 390*w**2 + 669*w - 270 = 0. Calculate w.
-45, 2/3, 1
Suppose 2*i**2/11 - 108*i/11 + 1120/11 = 0. What is i?
14, 40
Suppose -j**4/12 + 29*j**3/12 + 167*j**2/12 + 37*j/4 - 51/2 = 0. Calculate j.
-3, 1, 34
Find n, given that 36*n**4 + 13580*n**3 + 1288936*n**2 + 1558144*n + 282752 = 0.
-188, -1, -2/9
What is j in 11*j**4/6 - 91*j**3/2 + 1523*j**2/6 + 715*j/2 + 169/3 = 0?
-1, -2/11, 13
Factor 2*w**2/5 + 6*w/5 + 4/5.
2*(w + 1)*(w + 2)/5
Solve a**2 - 5326*a + 7091569 = 0 for a.
2663
Factor 4*m**4 - 180*m**3 - 4*m**2 + 180*m.
4*m*(m - 45)*(m - 1)*(m + 1)
Factor 5*r**5 - 15*r**4 - 30*r**3 + 50*r**2 + 105*r + 45.
5*(r - 3)**2*(r + 1)**3
Solve 18*c**3/7 - 136*c**2/7 - 74*c/7 + 80/7 = 0 for c.
-1, 5/9, 8
Find n, given that -3*n**3 + 108*n**2 - 972*n = 0.
0, 18
Factor 4*c**2 - 232*c + 3364.
4*(c - 29)**2
What is r in 2*r**4/7 + 494*r**3/7 + 972*r**2/7 - 1976*r/7 - 560 = 0?
-245, -2, 2
Factor -12*w**4 + 40*w**3 - 4*w**2 - 24*w.
-4*w*(w - 3)*(w - 1)*(3*w + 2)
Solve -3*x**4 + 36*x**2 - 48*x = 0 for x.
-4, 0, 2
Suppose 2*j**3/9 + 362*j**2 - 2174*j/3 + 3262/9 = 0. What is j?
-1631, 1
Factor -3*t**4 - 114*t**3.
-3*t**3*(t + 38)
Factor -r**4/6 - r**3 - r**2/2 + 5*r/3.
-r*(r - 1)*(r + 2)*(r + 5)/6
Determine v so that v**5/4 - 9*v**3/2 + 81*v/4 = 0.
-3, 0, 3
Factor 3*u**4 - 66*u**3 + 423*u**2 - 660*u + 300.
3*(u - 10)**2*(u - 1)**2
Find q such that -5*q**2 + 355*q - 5250 = 0.
21, 50
Solve -z**3 - 33*z**2 - 63*z - 31 = 0.
-31, -1
Solve 9*a**2 + 201*a - 138 = 0.
-23, 2/3
Solve -3*i**2 - 111*i = 0.
-37, 0
Find r, given that r**3 + 8*r**2 - 45*r + 36 = 0.
-12, 1, 3
Factor 3*v**2/7 + 156*v/7 - 324/7.
3*(v - 2)*(v + 54)/7
Find r such that -2*r**4/7 - 34*r**3/7 + 8*r**2 + 376*r/7 + 288/7 = 0.
-18, -2, -1, 4
Let 5*m**4 + 280*m**3 + 1045*m**2 + 230*m - 1560 = 0. Calculate m.
-52, -3, -2, 1
Determine y, given that 5*y**4 + 35*y**3 + 10*y**2 - 140*y - 120 = 0.
-6, -2, -1, 2
Solve -90*t**4 - 17685*t**3 - 8825*t**2 - 980*t = 0.
-196, -1/3, -1/6, 0
Factor -2*t**5 + 66*t**4 - 576*t**3 + 512*t**2.
-2*t**2*(t - 16)**2*(t - 1)
Solve 2*y**2/7 + 254*y/7 - 256/7 = 0.
-128, 1
Factor -4*g**4 + 120*g**3 - 756*g**2 - 2432*g + 3072.
-4*(g - 16)**2*(g - 1)*(g + 3)
Suppose 1000*b**5/13 - 34050*b**4/13 - 33070*b**3/13 - 6356*b**2/13 + 1944*b/13 + 560/13 = 0. Calculate b.
-2/5, 1/4, 35
Find f such that -2*f**4 - 16*f**3 - 12*f**2 + 80*f - 50 = 0.
-5, 1
Let -f**4 + 10*f**3 - 9*f**2 = 0. What is f?
0, 1, 9
Factor k**4/11 - 2*k**2/11 + 1/11.
(k - 1)**2*(k + 1)**2/11
Determine z, given that z**2 + 12*z + 20 = 0.
-10, -2
Suppose -8*y**5 + 36*y**4 + 28*y**3 - 36*y**2 - 20*y = 0. Calculate y.
-1, -1/2, 0, 1, 5
Let -35*n**4 + 1005*n**3 + 325*n**2 - 1005*n - 290 = 0. What is n?
-1, -2/7, 1, 29
Factor 2*b**2/13 - 80*b/13 - 168/13.
2*(b - 42)*(b + 2)/13
Factor 3*x**3/2 - 582*x**2 + 59784*x - 636192.
3*(x - 188)**2*(x - 12)/2
Factor -2*p**3 + 62*p**2 - 68*p - 1392.
-2*(p - 29)*(p - 6)*(p + 4)
Determine l so that -4*l**5 - 10*l**4 + 8*l**3 + 38*l**2 + 32*l + 8 = 0.
-2, -1, -1/2, 2
Solve -5*j**2/3 - 13*j/3 - 8/3 = 0.
-8/5, -1
Factor 2*t**2/7 - 52*t/7 + 50/7.
2*(t - 25)*(t - 1)/7
Determine s, given that -s**2 + 21*s - 80 = 0.
5, 16
Factor -u**5/4 + 13*u**4/4 - 3*u**3.
-u**3*(u - 12)*(u - 1)/4
Factor 5*s**3 - 405*s**2 + 8400*s - 8000.
5*(s - 40)**2*(s - 1)
Factor -4*o**3 + 464*o**2 + 468*o.
-4*o*(o - 117)*(o + 1)
Factor c**3/4 - 1137*c**2/4 + 430923*c/4 - 54439939/4.
(c - 379)**3/4
Let 135*h**5 + 6255*h**4 + 67080*h**3 - 123860*h**2 + 68160*h - 11520 = 0. Calculate h.
-24, 1/3, 2/3
Suppose -4*w**2/5 - 20*w - 264/5 = 0. What is w?
-22, -3
Factor 25*g**2 - 645*g + 500.
5*(g - 25)*(5*g - 4)
Factor 4*r**3 - 16*r**2 - 4*r + 16.
4*(r - 4)*(r - 1)*(r + 1)
Factor 2*a**3 - 68*a**2 + 130*a - 64.
2*(a - 32)*(a - 1)**2
Solve -2*z**3 - 438*z**2 - 7398*z - 32562 = 0 for z.
-201, -9
Factor n**3 + 600*n**2 + 90597*n + 178802.
(n + 2)*(n + 299)**2
Factor 3*z**4/4 + 3*z**3 - 9*z**2.
3*z**2*(z - 2)*(z + 6)/4
Factor 8*f**2 + 12*f/5.
4*f*(10*f + 3)/5
Find r, given that r**3 - 5*r**2 + 7*r - 3 = 0.
1, 3
Factor 25*i**3 - 3205*i**2 - 2576*i - 516.
(i - 129)*(5*i + 2)**2
Find x, given that 9*x**2 - 70*x - 16 = 0.
-2/9, 8
Determine y so that 3*y**5/4 + 15*y**4 + 75*y**3 = 0.
-10, 0
Factor -d**5/4 - 31*d**4 - 1188*d**3 - 9680*d**2 + 170368*d.
-d*(d - 8)*(d + 44)**3/4
Factor 2*s**3 + 50*s**2 - 2*s - 50.
2*(s - 1)*(s + 1)*(s + 25)
Factor 5*r**2 + 10210*r + 20400.
5*(r + 2)*(r + 2040)
Let -125*f**5/3 - 12725*f**4/3 - 33620*f**3 + 133328*f**2/3 - 54976*f/3 + 2480 = 0. What is f?
-93, -10, 2/5
Determine r so that 4*r**5 - 178*r**4 + 2636*r**3 - 16034*r**2 + 35892*r - 14256 = 0.
1/2, 4, 9, 22
Factor 3*d**2 - 81*d - 840.
3*(d - 35)*(d + 8)
Find y, given that 2*y**5/5 + 92*y**4/5 + 1142*y**3/5 + 1844*y**2/5 - 1144*y/5 - 1936/5 = 0.
-22, -2, -1, 1
What is f in 20*f**5/9 + 248*f**4/9 + 172*f**3/3 + 368*f**2/9 + 80*f/9 = 0?
-10, -1, -2/5, 0
Determine q so that -2*q**5 - 76*q**4/3 - 22*q**3/3 + 328*q**2/3 + 184*q/3 - 32 = 0.
-12, -2, -1, 1/3, 2
Solve -2*g**4/7 + 4*g**3 + 216*g**2/7 + 464*g/7 + 320/7 = 0.
-2, 20
Factor -j**2/5 - 4*j/5 - 3/5.
-(j + 1)*(j + 3)/5
Factor 22*z**3/7 - 172*z**2/7 + 122*z/7 + 4.
2*(z - 7)*(z - 1)*(11*z + 2)/7
Factor 5*m**4/4 + 141*m**3/2 - 173*m**2/4 - 57*m/2.
m*(m - 1)*(m + 57)*(5*m + 2)/4
Suppose 2*a**4/15 + 8*a**3/15 + 8*a**2/15 = 0. Calculate a.
-2, 0
Let 3*d**3 - 57*d**2 + 336*d - 576 = 0. Calculate d.
3, 8
Suppose -2*j**5 - 210*j**4 - 1206*j**3 - 1782*j**2 = 0. What is j?
-99, -3, 0
Factor -4*z**4 - 12*z**3 + 16*z**2 + 48*z.
-4*z*(z - 2)*(z + 2)*(z + 3)
Factor 5*z**4 + 85*z**3 + 80*z**2.
5*z**2*(z + 1)*(z + 16)
Let 3*m**5/5 - 3*m**4 + 9*m**3/5 + 3*m**2 - 12*m/5 = 0. What is m?
-1, 0, 1, 4
What is p in 5*p**3 - 11100*p**2 + 6171585*p - 12298810 = 0?
2, 1109
What is x in -4*x**5 + 24*x**4 - 52*x**3 + 48*x**2 - 16*x = 0?
0, 1, 2
Let t**2/2 + 20*t + 200 = 0. Calculate t.
-20
Solve o**3/3 - 333*o**2 + 82328*o + 1260020/3 = 0 for o.
-5, 502
Factor 4*c**3/5 - 92*c**2/5 + 284*c/5 + 76.
4*(c - 19)*(c - 5)*(c + 1)/5
Let -4*r**3 - 408*r**2 - 10404*r = 0. What is r?
-51, 0
Find i such that -9*i**4 - 152*i**3 + 1439*i**2 - 2318*i + 240 = 0.
-24, 1/9, 2, 5
Factor 5*a**2 - 240*a.
5*a*(a - 48)
Find m, given that -m**5/3 - 24*m**4 - 1222*m**3/3 + 888*m**2 - 1369*m/3 = 0.
-37, 0, 1
What is w in w**3 + 51*w**2 - 217*w + 165 = 0?
-55, 1, 3
Determine t, given that -t**4/2 + 69*t**3/2 - 34*t**2 = 0.
0, 1, 68
Factor -8*y**2/7 - 892*y/7 + 64.
-4*(y + 112)*(2*y - 1)/7
Solve 155236*g**2 + 7092*g + 81 = 0 for g.
-9/394
Factor 5*g**4 + 105*g**3 + 495*g**2 - 605*g.
5*g*(g - 1)*(g + 11)**2
Factor -l**2/4 + l/2 - 1/4.
-(l - 1)**2/4
Factor -o**3/3 - 41*o**2/3 - 440*o/3 - 400/3.
-(o + 1)*(o + 20)**2/3
Factor 2*o**5 - 24*o**4 + 96*o**3 - 128*o**2.
2*o**2*(o - 4)**3
Factor -3*m**2/4 - 33*m.
-3*m*(m + 44)/4
Factor j**3/4 + 133*j**2/4 + 33*j.
j*(j + 1)*(j + 132)/4
Find o such that o**3 - 46*o**2 - 95*o - 48 = 0.
-1, 48
What is z in 15*z**4 - 280*z**3 - 105*z**2 + 190*z = 0?
-1, 0, 2/3, 19
Solve -2*h**2 - 46*h = 0 for h.
-23, 0
Factor -16*t**3 - 76*t**2 - 44*t + 16.
-4*(t + 1)*(t + 4)*(4*t - 1)
Let -2*y**3/5 - 2*y**2 + 2*y/5 + 2 = 0. What is y?
-5, -1, 1
Find i, given that 2*i**4/5 + 266*i**3/5 - 268*i**2/5 = 0.
-134, 0, 1
Let u**4 + 8*u**3 - 73*u**2 + 148*u - 84 = 0. Calculate u.
-14, 1, 2, 3
Find n, given that 3*n**3 + 48*n**2 + 249*n + 420 = 0.
-7, -5, -4
Find q, given that 4*q**4 - 28*q**3 = 0.
0, 7
Factor 3*d**3/4 - 27*d**2.
3*d**2*(d - 36)/4
Factor r**5/2 - 10*r**4 + 93*r**3/2 + 135*r**2 - 972*r.
r*(r - 9)**2*(r - 6)*(r + 4)/2
Factor -5*x**3 - 5*x**2 + 5*x + 5.
-5*(x - 1)*(x + 1)**2
Solve 4*z**3/3 + 31*z**2 + 20*z/3 - 23 = 0 for z.
-23, -1, 3/4
Factor 4*u**3 - 24*u**2 + 32*u.
4*u*(u - 4)*(u - 2)
Suppose -x**5/2 + 6*x**4 + 139*x**3 - 294*x**2 + 299*x/2 = 0. Calculate x.
-13, 0, 1, 23
