that 3*t**2/2 - 57*t/4 + 27/4 = 0.
1/2, 9
Factor -13*o**3/4 - 51*o**2/2 + 4*o.
-o*(o + 8)*(13*o - 2)/4
Suppose -5*b**2 + 2835*b = 0. What is b?
0, 567
Factor -4*f**3 + 12*f**2 + 4*f - 12.
-4*(f - 3)*(f - 1)*(f + 1)
Factor -b**3/5 - 61*b**2/5 - 504*b/5 + 14256/5.
-(b - 11)*(b + 36)**2/5
Solve -3*r**2/8 - 441*r/4 - 64827/8 = 0.
-147
Factor 2*q**2 + 228*q + 666.
2*(q + 3)*(q + 111)
Factor 3*s**2 + 333*s.
3*s*(s + 111)
Determine w, given that w**2 + 5246*w + 6880129 = 0.
-2623
Factor c**5 - 86*c**4 - 451*c**3 - 364*c**2.
c**2*(c - 91)*(c + 1)*(c + 4)
Factor 28*g**3 - 20*g**2 - 112*g + 80.
4*(g - 2)*(g + 2)*(7*g - 5)
Find a, given that -2*a**4/21 - 22*a**3/7 + 536*a**2/21 - 320*a/7 = 0.
-40, 0, 3, 4
Solve 5*c**2 + 15*c = 0.
-3, 0
Solve -2*c**4/21 - 4*c**3/3 + 62*c**2/21 - 32*c/21 = 0 for c.
-16, 0, 1
Factor -3*c**5 - 231*c**4 - 675*c**3 - 669*c**2 - 222*c.
-3*c*(c + 1)**3*(c + 74)
Let -5*l**2/4 + 2575*l/2 - 1326125/4 = 0. What is l?
515
Determine n, given that -3*n**3 + 15*n**2 + 183*n + 165 = 0.
-5, -1, 11
Factor 2*t**4/11 + 6*t**3/11 - 20*t**2/11.
2*t**2*(t - 2)*(t + 5)/11
Factor g**2 - 10*g + 9.
(g - 9)*(g - 1)
Determine p so that -182*p**2/3 + 6184*p/3 + 136/3 = 0.
-2/91, 34
Factor 2*f**4/3 + 58*f**3/3 + 180*f**2 + 1400*f/3 - 2000/3.
2*(f - 1)*(f + 10)**3/3
Suppose -2*y**2/13 - 128*y/13 - 2048/13 = 0. Calculate y.
-32
Factor -2*l**2/3 - 122*l.
-2*l*(l + 183)/3
Determine p, given that -2*p**4 - 134*p**3 + 1006*p**2 - 2202*p + 1332 = 0.
-74, 1, 3
Find h such that 2*h**5 + 134*h**4/3 - 98*h**3/3 - 134*h**2/3 + 92*h/3 = 0.
-23, -1, 0, 2/3, 1
Suppose -g**4/6 - g**3/3 + 13*g**2/6 - 5*g/3 = 0. Calculate g.
-5, 0, 1, 2
Solve 5*q**4 + 30*q**3 + 45*q**2 + 20*q = 0.
-4, -1, 0
Factor v**3/2 - 7*v**2/2 - 9*v.
v*(v - 9)*(v + 2)/2
Solve 2*m**5 + 12*m**4 - 28*m**3 - 168*m**2 + 170*m + 300 = 0.
-5, -1, 2, 3
Factor -4*q**3 - 40*q**2 - 64*q.
-4*q*(q + 2)*(q + 8)
Factor -p**4/5 - 6*p**3/5 - 11*p**2/5 - 6*p/5.
-p*(p + 1)*(p + 2)*(p + 3)/5
Factor -x**5 - x**4 + x**3 + x**2.
-x**2*(x - 1)*(x + 1)**2
Factor 5*j**3 - 15*j - 10.
5*(j - 2)*(j + 1)**2
Suppose -f**3/2 + 11*f**2/2 + 51*f = 0. What is f?
-6, 0, 17
Factor -v**4 + 5*v**3 + 13*v**2 + 7*v.
-v*(v - 7)*(v + 1)**2
Factor 3*m**3 + 147*m**2 + 1722*m - 1872.
3*(m - 1)*(m + 24)*(m + 26)
Factor -x**4/3 + 20*x**3/3 - 50*x**2 + 500*x/3 - 625/3.
-(x - 5)**4/3
Factor -2*t**2/9 + 68*t/9 - 128/9.
-2*(t - 32)*(t - 2)/9
Determine v so that 3*v**4/8 + 67*v**3/8 - 53*v**2/8 - 163*v/8 - 23/4 = 0.
-23, -1, -1/3, 2
Suppose -5*p**3/6 - 175*p**2/3 + 5335*p/6 - 830 = 0. Calculate p.
-83, 1, 12
Factor -3*j**2 + 1791*j - 1788.
-3*(j - 596)*(j - 1)
Suppose 6*x**4 + 183*x**3/2 - 1227*x**2/2 - 879*x - 180 = 0. What is x?
-20, -1, -1/4, 6
Solve -3*b**3/4 + 819*b**2/2 - 1635*b/4 = 0.
0, 1, 545
Solve 8751645*r**2 + 13230*r + 5 = 0 for r.
-1/1323
Factor 3*l**2 - 222*l + 432.
3*(l - 72)*(l - 2)
Factor 25*b**3 + 1380*b**2 + 275*b.
5*b*(b + 55)*(5*b + 1)
Factor c**5/3 - 4*c**4/3 + c**3 + 4*c**2/3 - 4*c/3.
c*(c - 2)**2*(c - 1)*(c + 1)/3
What is u in -4*u**3/5 + 8*u**2 + 452*u/5 + 408/5 = 0?
-6, -1, 17
Suppose y**2 + 67*y - 68 = 0. What is y?
-68, 1
Suppose 6*u**4/7 + 96*u**3/7 + 552*u**2/7 + 192*u + 1152/7 = 0. Calculate u.
-6, -4, -2
Factor -2*z**5 - 68*z**4 + 216*z**3 - 220*z**2 + 74*z.
-2*z*(z - 1)**3*(z + 37)
Factor 7*o**3/5 + 201*o**2/5 - 268*o/5 + 12.
(o - 1)*(o + 30)*(7*o - 2)/5
Let 5*j**3 + 730*j**2 + 26645*j = 0. Calculate j.
-73, 0
Let 3*r**4/7 + 66*r**3/7 + 171*r**2/7 = 0. Calculate r.
-19, -3, 0
Let -4*k**2 - 60*k - 104 = 0. Calculate k.
-13, -2
Factor 2*q**3/11 + 4284*q**2/11 + 2289792*q/11 - 4596736/11.
2*(q - 2)*(q + 1072)**2/11
Determine c so that 28*c**3 - 35160*c**2 + 11032704*c + 3155072 = 0.
-2/7, 628
Determine c so that -2*c**4 - 364*c**3 - 16560*c**2 + 364*c + 16562 = 0.
-91, -1, 1
Find l, given that l**5 - 6*l**4 - 21*l**3 + 34*l**2 + 48*l = 0.
-3, -1, 0, 2, 8
Factor 1156*g**4 + 1360*g**3 - 552*g**2 - 560*g + 196.
4*(g + 1)**2*(17*g - 7)**2
Factor 3*s**2/2 - 15*s/2 + 6.
3*(s - 4)*(s - 1)/2
Suppose 2*v**2/11 + 240*v/11 - 22 = 0. Calculate v.
-121, 1
Factor -i**4/8 + 3*i**3 + 13*i**2/2.
-i**2*(i - 26)*(i + 2)/8
Suppose 4*u**3 + 1352*u**2 + 114244*u = 0. What is u?
-169, 0
Factor 2*b**4 + 82*b**3 + 708*b**2 - 2728*b + 1936.
2*(b - 2)*(b - 1)*(b + 22)**2
Solve -4*f**2 + 96*f - 476 = 0 for f.
7, 17
Let 3*q**5 + 2568*q**4 + 552114*q**3 + 1096536*q**2 + 546987*q = 0. What is q?
-427, -1, 0
Find y, given that y**5/2 - 304*y**4 + 46812*y**3 - 183616*y**2 + 182408*y = 0.
0, 2, 302
Let -4*x**5/7 + 3*x**4/7 + 3*x**3 + 17*x**2/7 + 3*x/7 = 0. Calculate x.
-1, -1/4, 0, 3
Factor -j**5/4 - j**4 - 3*j**3/2 - j**2 - j/4.
-j*(j + 1)**4/4
Factor -5*l**3 + 36*l**2 - 79*l + 48.
-(l - 3)*(l - 1)*(5*l - 16)
Factor 3*u**2/4 + 39*u/4 - 21/2.
3*(u - 1)*(u + 14)/4
Factor -5*i**2/2 + 35*i - 165/2.
-5*(i - 11)*(i - 3)/2
Suppose 2*m**4/5 - 636*m**3/5 + 49256*m**2/5 + 210588*m/5 - 51842 = 0. What is m?
-5, 1, 161
Factor -2*q**3/7 + 2*q**2 + 34*q/7 + 18/7.
-2*(q - 9)*(q + 1)**2/7
Let -2*c**2/5 + 1772*c/5 - 392498/5 = 0. Calculate c.
443
Factor -3*o**3 - 60*o**2 + 129*o - 66.
-3*(o - 1)**2*(o + 22)
Suppose -3*k**3/2 + 33*k**2 + 72*k = 0. What is k?
-2, 0, 24
Suppose 18*a**2/7 - 160*a/7 - 18/7 = 0. Calculate a.
-1/9, 9
Determine w, given that 45*w**5/2 - 143*w**4/2 - 637*w**3/2 - 701*w**2/2 - 144*w - 18 = 0.
-1, -3/5, -2/9, 6
Suppose -4*d**2 - 1848*d = 0. Calculate d.
-462, 0
Solve -2*g**3 + 66*g**2 - 702*g + 2430 = 0 for g.
9, 15
Factor 5*p**3 - 255*p**2 + 720*p.
5*p*(p - 48)*(p - 3)
Factor x**4 - 20*x**3 + 54*x**2 - 52*x + 17.
(x - 17)*(x - 1)**3
Let -3*o**2 + 279*o - 276 = 0. Calculate o.
1, 92
Determine v so that -3*v**4 + 15*v**3 + 18*v**2 = 0.
-1, 0, 6
Suppose 2*l**4/9 + 356*l**3/9 - 362*l**2/9 - 716*l/9 = 0. Calculate l.
-179, -1, 0, 2
Factor -2*h**2/11 + 1458/11.
-2*(h - 27)*(h + 27)/11
Factor 10*p**2 - 148*p/5 - 6/5.
2*(p - 3)*(25*p + 1)/5
Factor -n**3 - 268*n**2 - 1321*n - 1578.
-(n + 2)*(n + 3)*(n + 263)
Factor 21*q**2/4 - 15495*q/2 - 2214.
3*(q - 1476)*(7*q + 2)/4
Factor -l**4/4 + 637*l**3/4.
-l**3*(l - 637)/4
Determine h, given that 2*h**4/3 + 104*h**3/3 + 34*h**2 = 0.
-51, -1, 0
Suppose 9*i**4/2 - 35*i**3 + 46*i**2 + 12*i = 0. Calculate i.
-2/9, 0, 2, 6
Solve -n**3/5 + 1162*n**2/5 + 2327*n/5 + 1164/5 = 0.
-1, 1164
Factor 5*h**5 - 140*h**4 + 1350*h**3 - 4860*h**2 + 3645*h.
5*h*(h - 9)**3*(h - 1)
Suppose 4*l**5/11 + 14*l**4/11 - 8*l**3/11 - 64*l**2/11 - 32*l/11 + 32/11 = 0. Calculate l.
-2, 1/2, 2
Factor 6*c**3 + 165*c**2 + 9699*c/8 + 8427/8.
3*(c + 1)*(4*c + 53)**2/8
Factor 156*p**3/5 - 628*p**2/5 + 128*p - 16/5.
4*(p - 2)**2*(39*p - 1)/5
Suppose 3*f**2/8 - 3*f/2 = 0. Calculate f.
0, 4
Suppose 4*a**2 - 500*a - 1536 = 0. What is a?
-3, 128
Determine x, given that 28*x**4 + 92*x**3 - 424*x**2 + 208*x + 96 = 0.
-6, -2/7, 1, 2
What is w in -4*w**3 - 452*w**2 + 952*w + 3680 = 0?
-115, -2, 4
Factor t**2 - 1255*t + 1254.
(t - 1254)*(t - 1)
Suppose 3*m**2/5 + 402*m/5 = 0. Calculate m.
-134, 0
Determine k, given that 2*k**2 + 90*k + 172 = 0.
-43, -2
Factor -4*w**2 - 7220*w - 7216.
-4*(w + 1)*(w + 1804)
Solve 5*n**2 + 15*n + 10 = 0.
-2, -1
Factor -l**4/3 + 2*l**3/3 + 4*l**2 - 6*l - 9.
-(l - 3)**2*(l + 1)*(l + 3)/3
Find g such that -3*g**4 + 78*g**3 + 225*g**2 - 10716*g - 21660 = 0.
-10, -2, 19
Factor c**4/7 - 986*c**3/7 + 2952*c**2/7 - 2950*c/7 + 983/7.
(c - 983)*(c - 1)**3/7
Suppose -2*w**3/13 + 74*w**2/13 + 50*w/13 - 1250 = 0. Calculate w.
-13, 25
Find m such that -2*m**3/17 - 2*m**2/17 + 8*m/17 + 8/17 = 0.
-2, -1, 2
Factor 2*s**2/5 + 254*s/5 + 1216.
2*(s + 32)*(s + 95)/5
Suppose -49*p**4/6 + 455*p**3/3 - 1231*p**2/2 + 946*p/3 - 130/3 = 0. Calculate p.
2/7, 5, 13
Find o such that -6*o**5/7 + 10*o**4/7 + 32*o**3/7 - 48*o**2/7 - 32*o/7 + 32/7 = 0.
-2, -1, 2/3, 2
Find s, given that -5*s**4/3 - 370*s**3/3 + 785*s**2 - 3580*s/3 + 1600/3 = 0.
-80, 1, 4
Factor b**3/4 - 525*b**2/4 + 68643*b/4 + 69169/4.
(b - 263)**2*(b + 1)/4
Factor -81*l**2 + 321*l + 12.
-3*(l - 4)*(27*l + 1)
What is o in -3*o**3 - 201*o**2 - 198*o = 0?
-66, -1, 0
Solve 12*m**5/11 - 6*m**4 - 366*m**3/11 - 126*m**2/11 + 162*m/11 = 0 for m.
-3, -1, 0, 1/2, 9
Solve 7*n**3/6 - 16*n**2/3 - 5*n/2 = 0.
-3/7, 0, 5
Factor -y**2/4 + 8*y - 64.
-(y - 16)**2/4
Suppose -3*y**2/2 + 30*y - 96 = 0. Calculate