x/11 = 0.
0, 173
Factor -10*v**4/9 - 176*v**3/9 - 82*v**2 + 36*v.
-2*v*(v + 9)**2*(5*v - 2)/9
Solve -5*k**2 - 460*k - 1760 = 0.
-88, -4
Factor -s**5/2 - 2*s**4 - 5*s**3/2 - s**2.
-s**2*(s + 1)**2*(s + 2)/2
Find w such that -2*w**5 + 2*w**4 + 12*w**3 + 4*w**2 - 10*w - 6 = 0.
-1, 1, 3
Factor -3*k**3/5 + 18*k**2/5.
-3*k**2*(k - 6)/5
Solve -20577*t**5 + 47652*t**4 - 34257*t**3 + 7890*t**2 - 732*t + 24 = 0.
2/19, 1
Determine y so that -5*y**4 + 70*y**3 + 155*y**2 + 80*y = 0.
-1, 0, 16
Factor -5*o**2 + 3040*o + 3045.
-5*(o - 609)*(o + 1)
Factor -3*n**2 + 384*n + 780.
-3*(n - 130)*(n + 2)
Factor 4*l**2 - 3192*l + 3188.
4*(l - 797)*(l - 1)
Factor -361*s**3/2 - 2451*s**2/2 + 264*s - 14.
-(s + 7)*(19*s - 2)**2/2
Factor 1425*v**2/4 + 1435*v/4 + 5/2.
5*(v + 1)*(285*v + 2)/4
Suppose 2*m**4 + 2*m**3 - 24*m**2 = 0. What is m?
-4, 0, 3
Suppose -3*t**5 + 427*t**4 - 14389*t**3 - 57447*t**2 - 43216*t + 21316 = 0. Calculate t.
-2, 1/3, 73
Suppose 5*c**5 + 70*c**4 - 1015*c**3 - 10440*c**2 + 51300*c - 54000 = 0. Calculate c.
-15, 2, 12
Determine m so that 13*m**3/5 - 3*m**2/5 = 0.
0, 3/13
Factor 5*r**3/3 - 250*r**2/3 - 85*r.
5*r*(r - 51)*(r + 1)/3
Determine p, given that 6*p**4/5 - 24*p**3 + 798*p**2/5 - 1764*p/5 = 0.
0, 6, 7
Factor 2*w**3 + 8*w**2 - 22*w + 12.
2*(w - 1)**2*(w + 6)
Solve -8*g**4/5 - 146*g**3/5 - 364*g**2/5 + 398*g/5 + 24 = 0.
-15, -4, -1/4, 1
Factor -w**4/3 + 19*w**3/3 - 112*w**2/3 + 52*w + 96.
-(w - 8)*(w - 6)**2*(w + 1)/3
Solve h**3 + 876*h**2 + 875*h = 0 for h.
-875, -1, 0
Suppose 2*c**2/9 - 2*c/9 - 28/3 = 0. Calculate c.
-6, 7
Determine r so that -4*r**2/7 - 176*r/7 + 180/7 = 0.
-45, 1
Determine v, given that -28*v**3 - 72*v**2 + 228*v - 128 = 0.
-32/7, 1
Factor d**5/7 - 29*d**4/7 + 32*d**3 - 28*d**2.
d**2*(d - 14)**2*(d - 1)/7
Let y**3 - 157*y**2 + 6675*y - 39375 = 0. What is y?
7, 75
Factor 4*t**3/7 + 88*t**2/7 - 92*t/7.
4*t*(t - 1)*(t + 23)/7
Solve -4*l**3 - 68*l**2 + 320*l - 336 = 0.
-21, 2
Find l such that l**2/4 - 358*l + 128164 = 0.
716
Let d**3/4 + 35*d**2/4 - 9*d/4 - 315/4 = 0. Calculate d.
-35, -3, 3
Factor -3*i**2 + 3*i + 546.
-3*(i - 14)*(i + 13)
Factor 3*h**2 + 3204*h + 855468.
3*(h + 534)**2
Determine h, given that -4*h**2/3 - 494*h/3 + 248/3 = 0.
-124, 1/2
Find s such that -3*s**5/4 - 69*s**4/2 - 2277*s**3/4 - 7833*s**2/2 - 9555*s - 6174 = 0.
-14, -3, -1
Factor 12*v**2/5 - 21*v/5 - 18.
3*(v + 2)*(4*v - 15)/5
Factor 5*y**4 + 5*y**3 - 30*y**2 - 20*y + 40.
5*(y - 2)*(y - 1)*(y + 2)**2
Suppose 2*x**4 + 18*x**3 - 68*x**2 + 48*x = 0. What is x?
-12, 0, 1, 2
Factor -5*q**2 + 1160*q - 67280.
-5*(q - 116)**2
Find j such that -j**4/4 + j**3/4 + 4*j**2 - 4*j = 0.
-4, 0, 1, 4
Let -5*d**3 - 745*d**2 - 28120*d - 27380 = 0. Calculate d.
-74, -1
Factor -4*q**3 + 64*q**2 + 1808*q - 3840.
-4*(q - 30)*(q - 2)*(q + 16)
Solve -19*t**5/2 + 17*t**4/2 + 21*t**3/2 - 17*t**2/2 - t = 0.
-1, -2/19, 0, 1
Factor 3*v**3/4 + 375*v**2/2 - 759*v + 762.
3*(v - 2)**2*(v + 254)/4
Solve -20*p**3 - 2108*p**2 + 3440*p + 1712 = 0.
-107, -2/5, 2
Solve -3*y**5 + 42*y**4 + 48*y**3 - 42*y**2 - 45*y = 0.
-1, 0, 1, 15
Let -g**3 - 198*g**2 - 13068*g - 287496 = 0. Calculate g.
-66
Solve 15*d**2 + 3070*d - 1025 = 0 for d.
-205, 1/3
Let 420*t**4 - 85*t**3 - 430*t**2 + 85*t + 10 = 0. Calculate t.
-1, -1/12, 2/7, 1
Solve -2*k**4 + 26*k**3/3 - 14*k**2/3 - 34*k/3 + 4 = 0.
-1, 1/3, 2, 3
Determine q, given that -4*q**3 - 72*q**2 - 60*q + 136 = 0.
-17, -2, 1
Determine t so that 3*t**3 + 27*t**2 + 72*t + 60 = 0.
-5, -2
Solve -k**5 - 17*k**4 - 45*k**3 - 43*k**2 - 14*k = 0 for k.
-14, -1, 0
Suppose v**2 - 72*v + 1296 = 0. What is v?
36
Solve 6*c**2 - 74*c - 52 = 0.
-2/3, 13
Determine x so that -4*x**5 - 28*x**4 + 12*x**3 + 220*x**2 - 200*x = 0.
-5, 0, 1, 2
Factor -5*i**4 + 115*i**3 - 600*i**2 - 720*i.
-5*i*(i - 12)**2*(i + 1)
Factor -3*o**3 - 261*o**2 + 1080*o - 1092.
-3*(o - 2)**2*(o + 91)
Factor 4*l**4/7 - 4*l**3/7 - 4*l**2/7 + 4*l/7.
4*l*(l - 1)**2*(l + 1)/7
Factor 3*r**5/4 - 9*r**4 + 15*r**3.
3*r**3*(r - 10)*(r - 2)/4
What is a in a**2/9 + 20*a + 900 = 0?
-90
Suppose 3*a**2/4 - 41*a/12 + 7/2 = 0. What is a?
14/9, 3
Factor 2*o**2/5 - 292*o/5 + 576/5.
2*(o - 144)*(o - 2)/5
Factor 3*a**3 - 132*a**2 + 129*a.
3*a*(a - 43)*(a - 1)
Factor 40*r**3 + 35*r**2 - 5*r.
5*r*(r + 1)*(8*r - 1)
Factor 2*t**3/3 + 62*t**2/3 - 592*t/3 + 416.
2*(t - 4)**2*(t + 39)/3
What is o in -2*o**3/7 - 40*o**2/7 + 134*o/7 - 92/7 = 0?
-23, 1, 2
Find q such that 14*q**5/5 + 17*q**4 + 188*q**3/5 + 181*q**2/5 + 68*q/5 + 4/5 = 0.
-2, -1, -1/14
Determine w so that w**2/2 - 977*w - 1956 = 0.
-2, 1956
Suppose -5*p**5/4 - 10*p**4 - 15*p**3/2 + 10*p**2 + 35*p/4 = 0. What is p?
-7, -1, 0, 1
Factor -105*b**4/4 + 51*b**3 - 93*b**2/4 - 3*b/2.
-3*b*(b - 1)**2*(35*b + 2)/4
Solve -25*r**4/3 - 95*r**3 - 320*r**2 - 940*r/3 - 80 = 0.
-6, -4, -1, -2/5
Factor -3*f**3/7 + 1017*f**2/7 + 1020*f/7.
-3*f*(f - 340)*(f + 1)/7
Solve -2*n**5 + 1912*n**4 - 470156*n**3 + 6303864*n**2 - 21740418*n = 0.
0, 7, 471
Solve -4*y**3 + 104*y**2 - 180*y - 288 = 0 for y.
-1, 3, 24
Determine y, given that 5*y**4 + 2355*y**3 + 7035*y**2 + 7025*y + 2340 = 0.
-468, -1
Factor -3*y**2/7 - 381*y/7 + 1980/7.
-3*(y - 5)*(y + 132)/7
Determine t so that -4*t**3/9 + 4*t**2 + 4*t/9 - 4 = 0.
-1, 1, 9
Factor -2*i**3/17 - 56*i**2/17.
-2*i**2*(i + 28)/17
Factor v**2/2 + 106*v - 213/2.
(v - 1)*(v + 213)/2
Factor 3*v**2 + 15*v.
3*v*(v + 5)
Let -2*v**2/15 - 2852*v/15 - 1016738/15 = 0. Calculate v.
-713
Factor -3*c**5/4 + 327*c**4/4 - 8409*c**3/4 - 27219*c**2/4 - 6972*c - 2352.
-3*(c - 56)**2*(c + 1)**3/4
Factor n**4 - 9*n**2.
n**2*(n - 3)*(n + 3)
What is c in -4*c**4 + 8*c**3 + 108*c**2 + 208*c + 112 = 0?
-2, -1, 7
Factor -4*t**2 - 6032*t + 6036.
-4*(t - 1)*(t + 1509)
Let -3*o**4/2 - 24*o**3 + 243*o**2/2 + 24*o - 120 = 0. What is o?
-20, -1, 1, 4
Suppose -9*m**2/2 - 35*m/4 + 1/2 = 0. What is m?
-2, 1/18
Factor -4*v**5 - 64*v**4 - 192*v**3.
-4*v**3*(v + 4)*(v + 12)
Factor -q**5/3 + 22*q**4/3 - 94*q**3/3 + 160*q**2/3 - 121*q/3 + 34/3.
-(q - 17)*(q - 2)*(q - 1)**3/3
Factor -3*j**4/5 + 3*j**3 + 27*j**2/5 - 27*j.
-3*j*(j - 5)*(j - 3)*(j + 3)/5
Let -2*h**4/7 + 30*h**3/7 - 26*h**2/7 - 30*h/7 + 4 = 0. Calculate h.
-1, 1, 14
Find n such that 116*n**3 - 4*n**2 = 0.
0, 1/29
Factor -5*z**4 - 455*z**3 - 4980*z**2 - 19280*z - 25280.
-5*(z + 4)**3*(z + 79)
Let 2*c**4/9 - 44*c**3/9 + 106*c**2/3 - 836*c/9 + 560/9 = 0. What is c?
1, 4, 7, 10
Factor 2*u**3 + 584*u**2 + 4558*u + 3976.
2*(u + 1)*(u + 7)*(u + 284)
Factor 4*g**5 + 82*g**4/5 + 88*g**3/5 + 8*g**2/5.
2*g**2*(g + 2)**2*(10*g + 1)/5
Factor 3*h**2 - 27*h + 54.
3*(h - 6)*(h - 3)
Factor d**4 + 26*d**3 - 91*d**2 - 116*d.
d*(d - 4)*(d + 1)*(d + 29)
Determine m so that -2*m**5/3 - 26*m**4 - 212*m**3 + 2396*m**2/3 - 854*m + 294 = 0.
-21, 1
Let 5*a**5 - 110*a**4 + 195*a**3 + 110*a**2 - 200*a = 0. What is a?
-1, 0, 1, 2, 20
Solve 4*n**2 - 24*n = 0.
0, 6
Suppose 121*a**5/3 - 319*a**4/3 - 128*a**3/3 + 472*a**2/3 + 176*a/3 + 16/3 = 0. Calculate a.
-1, -2/11, 2
Factor 2*o**5 - 4*o**4 - 2*o**3 + 4*o**2.
2*o**2*(o - 2)*(o - 1)*(o + 1)
Factor -3*m**5/4 - 195*m**4/2 - 13059*m**3/4 - 6240*m**2 - 3072*m.
-3*m*(m + 1)**2*(m + 64)**2/4
Find b such that -4*b**5 + 4*b**4 + 16*b**3 - 16*b**2 = 0.
-2, 0, 1, 2
Solve -4*g**4 + 12*g**3 + 20*g**2 - 12*g - 16 = 0.
-1, 1, 4
Solve 9*u**5 - 22*u**4 - 28*u**3 + 34*u**2 + 19*u - 12 = 0.
-1, 4/9, 1, 3
Factor 4*i**5 - 980*i**4 - 1972*i**3 - 988*i**2.
4*i**2*(i - 247)*(i + 1)**2
Suppose -2*x**2/11 + 304*x/11 + 306/11 = 0. What is x?
-1, 153
Factor -2*n**2/11 - 234*n/11 - 460/11.
-2*(n + 2)*(n + 115)/11
Let 4*l**4 - 2*l**3 = 0. What is l?
0, 1/2
Factor 2*h**3 + 451*h**2 + 25312*h - 12769.
(h + 113)**2*(2*h - 1)
Factor -l**3/6 + 4*l**2/3.
-l**2*(l - 8)/6
Factor 4*f**2/3 + 13144*f/3.
4*f*(f + 3286)/3
Suppose x**2/5 - 299*x/5 = 0. Calculate x.
0, 299
Find f, given that -2*f**5/9 - 86*f**4/9 - 82*f**3/9 + 86*f**2/9 + 28*f/3 = 0.
-42, -1, 0, 1
Determine g, given that 25*g**4/4 + 455*g**3/2 - 3765*g**2/4 - 3325*g/2 - 500 = 0.
-40, -1, -2/5, 5
Determine s, given that 5*s**2/4 + 6845*s/2 + 9370805/4 = 0.
-1369
Factor 3*x**2/7 + 1191*x/7 + 1170.
3*(x + 7)*(x + 390)/7
Solve -4*s**3 - 772*s**2 + 1556*s - 780 = 0 for s.
-195, 1
Solve 5*q**5 - 25*q**4 - 110*q**3 + 280*q**2 = 0.
-4, 0, 2, 7
Solve 2*u**4 + 2344*u**3 + 682088*u**2 - 2756544