 3220.
-5*(v - 161)*(7*v + 2)**2
Suppose 495*w**4 + 1668*w**3 + 720*w**2 - 1296*w - 48 = 0. Calculate w.
-2, -2/55, 2/3
Find z such that 46*z**3 + 280*z**2 + 24*z = 0.
-6, -2/23, 0
Let -2*s**4/9 - 104*s**3/9 + 36*s**2 - 328*s/9 + 110/9 = 0. What is s?
-55, 1
What is d in 22*d**4/5 + 128*d**3/5 + 48*d**2 + 128*d/5 - 32/5 = 0?
-2, 2/11
Let 8*j**5 - 212*j**4 + 1852*j**3 - 5368*j**2 - 240*j + 7200 = 0. What is j?
-1, 3/2, 6, 10
Find w such that w**4 + 42*w**3 + 540*w**2 + 1350*w - 10125 = 0.
-15, 3
Determine d so that 5*d**3 + 370*d**2 - 755*d + 380 = 0.
-76, 1
Let 2*t**2/9 - 2*t/3 - 8/9 = 0. What is t?
-1, 4
Factor 2*b**3 + 6*b**2 - 20*b.
2*b*(b - 2)*(b + 5)
Suppose 1925*c**2 - 11560*c/3 + 20/3 = 0. Calculate c.
2/1155, 2
Solve -245*v**4 + 4480*v**3 - 1265*v**2 + 90*v = 0.
0, 1/7, 18
Suppose -3*k**3/7 - 72*k**2/7 + 12*k/7 + 288/7 = 0. What is k?
-24, -2, 2
Factor 5*n**2 - 20.
5*(n - 2)*(n + 2)
Solve -14*u**3/13 - 20*u**2/13 + 34*u/13 = 0 for u.
-17/7, 0, 1
Factor -2*y**2/11 - 6*y/11 + 20/11.
-2*(y - 2)*(y + 5)/11
What is r in -5*r**2 - 305*r + 310 = 0?
-62, 1
Suppose 14*d**2/5 + 2*d - 4/5 = 0. Calculate d.
-1, 2/7
Factor 3*t**5 + 36*t**4 + 132*t**3 + 210*t**2 + 153*t + 42.
3*(t + 1)**3*(t + 2)*(t + 7)
Factor -3*s**3 - 141*s**2 - 132*s + 276.
-3*(s - 1)*(s + 2)*(s + 46)
Factor -4*k**4/9 - 848*k**3/9 - 47416*k**2/9 - 87344*k/3 - 42436.
-4*(k + 3)**2*(k + 103)**2/9
Factor -198005*v**2 - 7960*v - 80.
-5*(199*v + 4)**2
Solve 15*l**2 + 85*l - 30 = 0 for l.
-6, 1/3
Factor -4*i**2 - 1456*i - 132496.
-4*(i + 182)**2
Find j such that -2*j**5/7 + 128*j**4/7 - 720*j**3/7 + 1412*j**2/7 - 1166*j/7 + 348/7 = 0.
1, 3, 58
Factor 4*g**2 + 144*g + 272.
4*(g + 2)*(g + 34)
Suppose -18*q**3/7 + 118*q**2/7 - 124*q/7 - 80/7 = 0. Calculate q.
-4/9, 2, 5
Find f, given that -2*f**2 - 62*f - 480 = 0.
-16, -15
Let o**4/5 - 6*o**3/5 - 49*o**2/5 - 66*o/5 = 0. Calculate o.
-3, -2, 0, 11
Suppose 3*b**3/7 - 222*b**2/7 + 4107*b/7 = 0. What is b?
0, 37
Factor r**2/2 - 51*r - 103/2.
(r - 103)*(r + 1)/2
What is t in 4*t**2 + 30528*t + 58247424 = 0?
-3816
Factor -2*c**3/3 + 42*c**2 - 160*c + 472/3.
-2*(c - 59)*(c - 2)**2/3
Factor -g**2 - 12*g + 220.
-(g - 10)*(g + 22)
Factor -j**3/4 - 307*j**2/2 + 1231*j/4 - 154.
-(j - 1)**2*(j + 616)/4
Suppose 6*z**4 + 63*z**3/2 - 273*z**2/2 - 36*z = 0. Calculate z.
-8, -1/4, 0, 3
Find j, given that -50*j**5/7 + 30*j**4/7 + 298*j**3/7 - 582*j**2/7 + 400*j/7 - 96/7 = 0.
-3, 4/5, 1
Factor 2*v**4/5 - 2*v**3/5 - 34*v**2/5 + 42*v/5 + 72/5.
2*(v - 3)**2*(v + 1)*(v + 4)/5
Factor -2*z**3 - 176*z**2 + 542*z - 364.
-2*(z - 2)*(z - 1)*(z + 91)
Factor 2*u**2/13 + 4382*u/13.
2*u*(u + 2191)/13
Factor -3*u**3/7 - 69*u**2 - 204*u - 948/7.
-3*(u + 1)*(u + 2)*(u + 158)/7
Factor g**5/2 - 5*g**4/2 - 5*g**3/2 + 45*g**2/2 - 54.
(g - 3)**3*(g + 2)**2/2
Factor -n**3/5 + 9*n**2/5 + 2*n.
-n*(n - 10)*(n + 1)/5
Suppose 2*v**2/9 - 34*v/3 + 100/9 = 0. What is v?
1, 50
Suppose -j**2 - 64*j = 0. Calculate j.
-64, 0
Factor -3*p**4 + 42*p**3 - 75*p**2 + 36*p.
-3*p*(p - 12)*(p - 1)**2
Factor -180*y**2 - 93*y + 66.
-3*(5*y - 2)*(12*y + 11)
Factor 2*b**3/3 + 46*b**2/3 + 80*b - 96.
2*(b - 1)*(b + 12)**2/3
Find g, given that -g**2 - 11*g + 350 = 0.
-25, 14
Determine l, given that -3*l**3/7 - 36*l**2/7 - 33*l/7 = 0.
-11, -1, 0
Solve -21*w**2 - 123*w + 360 = 0 for w.
-8, 15/7
Factor 28*q**3 - 10480*q**2 + 13436*q - 2984.
4*(q - 373)*(q - 1)*(7*q - 2)
Factor -4*t**2 - 36*t + 2944.
-4*(t - 23)*(t + 32)
Find q, given that -q**3/7 + 212*q**2/7 - 211*q/7 = 0.
0, 1, 211
Find x, given that 2*x**2 - 50 = 0.
-5, 5
Let 30*y**3 - 303*y**2 + 780*y - 75 = 0. What is y?
1/10, 5
Factor 9*m**5/4 - 43*m**4/4 + 41*m**3/2 - 39*m**2/2 + 37*m/4 - 7/4.
(m - 1)**4*(9*m - 7)/4
Determine b, given that -2*b**4/5 + 6*b**3/5 + 18*b**2/5 + 2*b = 0.
-1, 0, 5
Let 20*n**5 - 72*n**4 - 112*n**3 + 288*n**2 + 128*n = 0. What is n?
-2, -2/5, 0, 2, 4
What is s in 4*s**3 + 52*s**2 + 92*s + 44 = 0?
-11, -1
Suppose -245*f**4 - 11340*f**3 - 132830*f**2 - 37260*f - 2645 = 0. What is f?
-23, -1/7
What is k in k**5/5 - 13*k**3/5 + 16*k**2/5 + 12*k/5 - 16/5 = 0?
-4, -1, 1, 2
Factor 4*k**3 + 104*k**2 - 464*k + 480.
4*(k - 2)**2*(k + 30)
Factor 5*q**5 + 6*q**4 - 4*q**3 - 6*q**2 - q.
q*(q - 1)*(q + 1)**2*(5*q + 1)
Suppose 2*m**4/23 + 726*m**3/23 + 2882*m**2/23 + 3594*m/23 + 1436/23 = 0. Calculate m.
-359, -2, -1
Find n such that 4*n**3 + 64*n**2 + 116*n + 56 = 0.
-14, -1
Factor -2*v**3/15 - 386*v**2/15 + 778*v/15 - 26.
-2*(v - 1)**2*(v + 195)/15
Suppose 2*y**4/3 - 74*y**3/3 - 2*y**2 + 218*y/3 + 148/3 = 0. What is y?
-1, 2, 37
Factor -9*c**4/5 + 6*c**3/5 + 23*c**2/5 - 8*c/5 - 16/5.
-(c + 1)**2*(3*c - 4)**2/5
Factor -2*l**3/5 + 404*l**2/5 - 19992*l/5 - 41616/5.
-2*(l - 102)**2*(l + 2)/5
Determine z, given that 9604*z**3 - 10388*z**2 + 800*z - 16 = 0.
2/49, 1
Suppose 5*j**2 + 260*j + 3380 = 0. What is j?
-26
Solve 2*x**3 + 26*x**2 - 58*x + 30 = 0.
-15, 1
Factor 796*v**3 + 748*v**2 - 48*v.
4*v*(v + 1)*(199*v - 12)
Factor -u**5 - 473*u**4 - 55695*u**3 + 56169*u**2.
-u**2*(u - 1)*(u + 237)**2
Solve -2*u**5/3 - 2*u**4/3 + 4*u**3/3 = 0.
-2, 0, 1
Factor 2*j**3 + 16*j**2 + 38*j + 24.
2*(j + 1)*(j + 3)*(j + 4)
Solve -8*c**5 + 12*c**4 + 28*c**3 - 48*c**2 + 16*c = 0 for c.
-2, 0, 1/2, 1, 2
Factor 12*s**2 + 32*s/3.
4*s*(9*s + 8)/3
Factor 3*n**4 + 24*n**3 + 6*n**2 - 96*n + 63.
3*(n - 1)**2*(n + 3)*(n + 7)
Factor -2*f**3 + 58*f**2 - 56*f.
-2*f*(f - 28)*(f - 1)
Factor 2*m**2 + 20*m - 48.
2*(m - 2)*(m + 12)
Let -2*y**2/5 + 2*y - 12/5 = 0. What is y?
2, 3
Suppose -3*p**4 - p**3/5 + 12*p**2 + 4*p/5 = 0. Calculate p.
-2, -1/15, 0, 2
Factor -3*x**3/4 + 1179*x**2/4 - 29106*x + 28812.
-3*(x - 196)**2*(x - 1)/4
Factor -215*l**3 + 675*l**2 - 90*l.
-5*l*(l - 3)*(43*l - 6)
Factor 2*u**3/7 + 8*u**2/7 - 134*u/7 + 220/7.
2*(u - 5)*(u - 2)*(u + 11)/7
Solve l**4/2 + 13*l**3/4 + 3*l**2/4 - 9*l/2 = 0 for l.
-6, -3/2, 0, 1
Factor i**2/3 + 82*i + 5043.
(i + 123)**2/3
Factor -4*y**4 - 24*y**3 - 48*y**2 - 32*y.
-4*y*(y + 2)**3
Suppose -i**2 + 231*i - 458 = 0. Calculate i.
2, 229
Factor o**2 + 11*o + 10.
(o + 1)*(o + 10)
Factor 2*u**3 - 6*u**2 - 18*u - 10.
2*(u - 5)*(u + 1)**2
Find x such that -24*x**5 - 28*x**4 + 48*x**3 + 56*x**2 - 24*x - 28 = 0.
-7/6, -1, 1
Find z such that 2*z**5/13 - 128*z**4/13 + 2838*z**3/13 - 23080*z**2/13 + 13600*z/13 + 336000/13 = 0.
-3, 7, 20
Let 2*y**2/3 - 352*y/3 + 1376/3 = 0. Calculate y.
4, 172
Find p such that -17*p**3/6 - 16*p**2/3 - 13*p/6 + 1/3 = 0.
-1, 2/17
Factor 15*c**4/2 - 39*c**3/2 + 33*c**2/2 - 9*c/2.
3*c*(c - 1)**2*(5*c - 3)/2
Factor 2*t**2/9 + 26*t/9 + 44/9.
2*(t + 2)*(t + 11)/9
Solve -4*q**3/7 - 468*q**2/7 - 18252*q/7 - 237276/7 = 0.
-39
Solve g**5/7 + 3*g**4/7 + g**3/7 - 3*g**2/7 - 2*g/7 = 0.
-2, -1, 0, 1
Factor -3*t**3 + 276*t**2 - 273*t.
-3*t*(t - 91)*(t - 1)
Suppose 18*j**5/13 + 132*j**4/13 - 568*j**3/13 - 336*j**2 - 4928*j/13 - 1536/13 = 0. Calculate j.
-8, -4, -2/3, 6
What is o in o**2/2 + 56*o + 110 = 0?
-110, -2
Factor -2*r**2/15 + 52*r/3 - 574/5.
-2*(r - 123)*(r - 7)/15
Find o, given that 28*o**2 - 18240*o + 7812 = 0.
3/7, 651
What is w in -452*w**3 + 712*w**2 - 68*w - 192 = 0?
-48/113, 1
What is b in -224*b**2/9 - 218*b/9 + 2/3 = 0?
-1, 3/112
Factor 3*s**4 - 21*s**3 - 198*s**2 - 444*s - 312.
3*(s - 13)*(s + 2)**3
Factor -r**2 - 12*r + 28.
-(r - 2)*(r + 14)
Let -27*w**3 + 102*w**2 - 57*w - 18 = 0. What is w?
-2/9, 1, 3
Suppose -3*a**4 - 36*a**3 - 66*a**2 + 252*a - 147 = 0. Calculate a.
-7, 1
Factor 12*h**3/7 - 20*h**2/7 + 8*h/7.
4*h*(h - 1)*(3*h - 2)/7
Factor -5*o**2 + 3885*o + 3890.
-5*(o - 778)*(o + 1)
Solve -2*v**2/9 - 62*v/9 + 64/9 = 0 for v.
-32, 1
Factor -k**3 - 87*k**2 - 572*k - 960.
-(k + 3)*(k + 4)*(k + 80)
Suppose 3*t**4 + 21*t**3 - 576*t**2 - 2460*t - 2496 = 0. Calculate t.
-16, -2, 13
Factor 2*y**3/5 - 8*y**2 + 102*y/5.
2*y*(y - 17)*(y - 3)/5
Determine d, given that 147*d**3/4 + 2079*d**2/4 - 1863*d/4 + 405/4 = 0.
-15, 3/7
Determine j, given that -105*j**4 + 415*j**3 - 435*j**2 + 45*j + 80 = 0.
-1/3, 1, 16/7
Find m, given that -m**5/2 - 6*m**4 - 9*m**3 + 74*m**2 + 243*m/2 - 180 = 0.
-8, -5, -3, 1, 3
Factor -5*u**4 + 35*u**3 + 40*u**2.
-5*u**2*(u - 8)*(u + 1)
Factor 2*u**2/17 + 8192*u/17 + 8388608/17.
2*(u + 2048)**2/17
Suppose 3*b**2/2 - 513*b/2 - 258 = 0. What is b?
-1, 172
Factor 2*y**4/5 + 4*y**3 + 14*y**