*2*(v - 2)/4
Factor 2*h**2/13 - 16*h/13 + 14/13.
2*(h - 7)*(h - 1)/13
Factor 4*f**3/5 - 56*f**2/5 - 68*f/5 + 24.
4*(f - 15)*(f - 1)*(f + 2)/5
Find s, given that -3*s**5/2 - 15*s**4/2 + 12*s**3 + 18*s**2 = 0.
-6, -1, 0, 2
Factor -6*m**4 + 16*m**3 + 6*m**2.
-2*m**2*(m - 3)*(3*m + 1)
Determine n, given that 4*n**5/5 - 24*n**4/5 - 28*n**3/5 + 368*n**2/5 - 576*n/5 + 256/5 = 0.
-4, 1, 4
Factor -4*a**2 - 44*a.
-4*a*(a + 11)
Let -2*j**4 + 6*j**3 + 48*j**2 - 160*j = 0. What is j?
-5, 0, 4
Find f such that f**5 + 114*f**4 + 539*f**3 - 654*f**2 = 0.
-109, -6, 0, 1
Suppose 2*q**3/9 - 8*q**2/3 + 22*q/9 = 0. What is q?
0, 1, 11
Determine k so that 8*k**2/15 + 2*k/3 + 2/15 = 0.
-1, -1/4
Solve 5*o**4/4 - 45*o**3/2 + 90*o**2 = 0.
0, 6, 12
Find y, given that -2*y**2/7 - 60*y/7 - 58/7 = 0.
-29, -1
Let -1323*q**4/5 - 619416*q**3/5 - 72560136*q**2/5 - 13804128*q/5 - 657072/5 = 0. Calculate q.
-234, -2/21
Solve -2*t**2 + 202*t - 396 = 0 for t.
2, 99
Solve 4*m**5 - 88*m**4 + 156*m**3 + 88*m**2 - 160*m = 0 for m.
-1, 0, 1, 2, 20
Solve -4*u**5/15 + 94*u**4/15 - 196*u**3/15 - 98*u**2/5 = 0.
-1, 0, 7/2, 21
Factor s**2/3 - s + 2/3.
(s - 2)*(s - 1)/3
What is y in -2*y**5/21 - 12*y**4/7 - 48*y**3/7 = 0?
-12, -6, 0
Solve -4*b**4 - 5532*b**3 - 2550252*b**2 - 391888724*b = 0 for b.
-461, 0
Factor 2*t**3/19 - 56*t/19 + 96/19.
2*(t - 4)*(t - 2)*(t + 6)/19
Solve -l**2 - 50*l - 625 = 0 for l.
-25
Find f, given that -8*f**5 - 52*f**4 - 68*f**3 + 48*f**2 = 0.
-4, -3, 0, 1/2
Solve -4*i**2/5 - 248*i - 19220 = 0 for i.
-155
Solve 15*w**5 - 618*w**4/7 - 777*w**3 - 5160*w**2/7 + 12*w + 528/7 = 0.
-4, -1, -2/5, 2/7, 11
What is f in -13*f**4 + 206*f**3 + 45*f**2 - 206*f - 32 = 0?
-1, -2/13, 1, 16
Factor -243*n**3 + 1485*n**2 + 1464*n + 336.
-3*(n - 7)*(9*n + 4)**2
Factor 3*r**2/4 + 51*r/2 + 279/4.
3*(r + 3)*(r + 31)/4
Factor -2*o**4/9 - 224*o**3/9 - 5800*o**2/9 + 26912*o/9.
-2*o*(o - 4)*(o + 58)**2/9
Find d, given that 5*d**2 + 2010*d + 7960 = 0.
-398, -4
Determine c so that -2*c**4/9 - 50*c**3/9 - 314*c**2/9 - 58*c/3 + 60 = 0.
-15, -9, -2, 1
Solve -98*q**3/3 - 9058*q**2/3 + 5200*q/3 - 248 = 0.
-93, 2/7
Suppose -2*k**2/7 + 1128*k/7 - 159048/7 = 0. What is k?
282
Factor -a**2/6 + 2209*a/3 - 4879681/6.
-(a - 2209)**2/6
Let 3*r**2/5 + 1752*r/5 + 1749/5 = 0. Calculate r.
-583, -1
Factor -g**3/2 + g**2 + 5*g/2 - 3.
-(g - 3)*(g - 1)*(g + 2)/2
Determine z, given that -4*z**4 - 1932*z**3 + 5820*z**2 - 5828*z + 1944 = 0.
-486, 1
Factor -2*s**2/17 - 40*s - 3400.
-2*(s + 170)**2/17
Factor -9*d**3/5 - 1014*d**2/5 - 672*d/5.
-3*d*(d + 112)*(3*d + 2)/5
Factor -x**4 - x**3 + 33*x**2 - 59*x + 28.
-(x - 4)*(x - 1)**2*(x + 7)
Find n, given that -n**2/2 + 156*n - 12168 = 0.
156
Factor 4*d**5 - 24*d**4 - 100*d**3 - 72*d**2.
4*d**2*(d - 9)*(d + 1)*(d + 2)
Factor -g**3/4 - 179*g**2/2 - 713*g/4 - 89.
-(g + 1)**2*(g + 356)/4
Determine a, given that 2*a**5/5 - 6*a**4/5 - 14*a**3/5 + 6*a**2 + 36*a/5 = 0.
-2, -1, 0, 3
Suppose -2*w**4/3 + 4*w**3 + 80*w**2 - 2048*w/3 + 1024 = 0. What is w?
-12, 2, 8
Factor 5*g**3 + 95*g**2 + 495*g + 405.
5*(g + 1)*(g + 9)**2
Factor -3*j**2/5 - 1116*j/5 + 1119/5.
-3*(j - 1)*(j + 373)/5
Factor 2*v**5 + 30*v**4 + 178*v**3 + 522*v**2 + 756*v + 432.
2*(v + 2)*(v + 3)**3*(v + 4)
Let -3*v**2 - 123*v - 234 = 0. Calculate v.
-39, -2
Determine h so that 3*h**2 - 378*h + 4704 = 0.
14, 112
Find w, given that w**5/2 + 3*w**4 - 35*w**3/2 + 24*w**2 - 10*w = 0.
-10, 0, 1, 2
Suppose -g**4/10 + 2*g**2 - 32/5 = 0. What is g?
-4, -2, 2, 4
Factor -m**3/7 - 18*m**2 - 756*m - 10584.
-(m + 42)**3/7
Let -r**5 - 4*r**4 + 14*r**3 + 56*r**2 + 59*r + 20 = 0. What is r?
-5, -1, 4
Factor 4*x**3 + 36*x**2 - 4*x - 36.
4*(x - 1)*(x + 1)*(x + 9)
Find q such that 2*q**2 + 206*q + 204 = 0.
-102, -1
Determine a so that 4*a**4 + 556*a**3 + 1092*a**2 - 556*a - 1096 = 0.
-137, -2, -1, 1
Factor -4*l**3/5 - 148*l**2/5 + 1192*l/5 - 352.
-4*(l - 5)*(l - 2)*(l + 44)/5
Let 2*h**3/5 + 642*h**2/5 = 0. Calculate h.
-321, 0
Find f such that 5*f**2 - 200*f + 720 = 0.
4, 36
Factor 2*j**2/17 - 22*j/17 - 24/17.
2*(j - 12)*(j + 1)/17
Determine y so that -2*y**5 - 194*y**4/3 - 1180*y**3/3 - 684*y**2 - 1310*y/3 - 250/3 = 0.
-25, -5, -1, -1/3
Find x, given that -3*x**3 + 318*x**2 = 0.
0, 106
Factor -3*a**5 - 39*a**4 + 90*a**3 - 6*a**2 - 87*a + 45.
-3*(a - 1)**3*(a + 1)*(a + 15)
Factor 30*r**5 - 272*r**4/3 + 92*r**3 - 32*r**2 + 2*r/3.
2*r*(r - 1)**3*(45*r - 1)/3
Let 4*j**4/3 - 488*j**3/3 - 500*j**2/3 + 328*j = 0. Calculate j.
-2, 0, 1, 123
Let -u**3/11 - 8*u**2/11 + 48*u/11 = 0. Calculate u.
-12, 0, 4
Let -4*v**5 + 100*v**4 + 328*v**3 + 224*v**2 = 0. What is v?
-2, -1, 0, 28
Factor -5*f**3 + 30*f**2 - 45*f + 20.
-5*(f - 4)*(f - 1)**2
Suppose 5*x**5 + 5*x**4 - 150*x**3 + 370*x**2 - 335*x + 105 = 0. What is x?
-7, 1, 3
What is o in -4*o**2 + 148*o = 0?
0, 37
Suppose 722*b**4 - 1368*b**3 - 150*b**2 - 4*b = 0. What is b?
-1/19, 0, 2
Find s, given that -s**3 + 2072*s**2 + 8300*s + 8304 = 0.
-2, 2076
Determine r so that -2*r**5 - 59*r**4 - 420*r**3 + 225*r**2 = 0.
-15, 0, 1/2
Suppose m**3/5 + 39*m**2/5 + 507*m/5 + 2197/5 = 0. What is m?
-13
Factor -4*t**4/5 + 32*t**3/5 - 52*t**2/5 + 24*t/5.
-4*t*(t - 6)*(t - 1)**2/5
Let 3*n**5/4 - 795*n**4/4 - 3*n**3/4 + 795*n**2/4 = 0. Calculate n.
-1, 0, 1, 265
Find s, given that 4*s**4 + 36*s**3 - 40*s**2 = 0.
-10, 0, 1
Suppose -8*m**5/13 - 2*m**4/13 + 32*m**3/13 + 8*m**2/13 = 0. Calculate m.
-2, -1/4, 0, 2
Suppose f**3/2 - 12*f**2 - 54*f - 56 = 0. Calculate f.
-2, 28
Let w**4 + 9*w**3/2 + 7*w**2 + 9*w/2 + 1 = 0. What is w?
-2, -1, -1/2
Determine d, given that 3*d**2 + 105*d - 3528 = 0.
-56, 21
Factor -645*l**2 + 101*l - 2.
-(15*l - 2)*(43*l - 1)
What is a in a**5/2 - 129*a**4/2 + 4095*a**3/2 + 4225*a**2/2 = 0?
-1, 0, 65
Suppose -y**3/5 + 233*y**2/5 - 462*y/5 = 0. Calculate y.
0, 2, 231
Factor -2*p**5 + 16*p**4 - 224*p**2 + 544*p - 384.
-2*(p - 6)*(p - 2)**3*(p + 4)
What is u in 27*u**4/5 - 804*u**3/5 - 1908*u**2/5 - 384*u/5 = 0?
-2, -2/9, 0, 32
Solve -3*z**2 - 168*z - 1029 = 0.
-49, -7
Determine r so that 4*r**3 + 276*r**2 + 540*r + 268 = 0.
-67, -1
Factor 3*p**2/2 + 162*p + 321/2.
3*(p + 1)*(p + 107)/2
Solve 10*z**5 - 15*z**4 - 5*z**3 + 15*z**2 - 5*z = 0 for z.
-1, 0, 1/2, 1
Factor -2*x**2/9 - 442*x/3 + 2660/9.
-2*(x - 2)*(x + 665)/9
Factor -k**2/9 - 38*k/3 - 113/9.
-(k + 1)*(k + 113)/9
Factor -2*r**2/5 + 38*r/5 - 68/5.
-2*(r - 17)*(r - 2)/5
Find w such that -w**4/2 + 23*w**3 - 120*w**2 = 0.
0, 6, 40
Find p such that -4*p**5/3 - 160*p**4/3 - 284*p**3 - 1240*p**2/3 - 544*p/3 = 0.
-34, -4, -1, 0
Suppose -2*z**3 + 13*z**2 + 67*z + 30 = 0. Calculate z.
-3, -1/2, 10
Solve 3*a**5 - 42*a**4 - 1545*a**3 - 6396*a**2 + 17580*a - 9600 = 0.
-10, 1, 32
Factor 2*y**5/9 + 26*y**4/9 - 76*y**3/3.
2*y**3*(y - 6)*(y + 19)/9
What is m in -m**4/5 + 18*m**3/5 - 9*m**2 - 4*m/5 + 12 = 0?
-1, 2, 15
Find s, given that 12*s**5 + 24*s**4 - 15*s**3 - 30*s**2 + 3*s + 6 = 0.
-2, -1, -1/2, 1/2, 1
Factor 4*y**3 + 988*y**2 + 60512*y - 61504.
4*(y - 1)*(y + 124)**2
Solve -2*i**3/3 + 92*i**2/9 - 18*i - 740/9 = 0.
-2, 5, 37/3
Determine p, given that -4*p**3 + 21*p**2 + 259*p - 66 = 0.
-6, 1/4, 11
Find w such that w**3 - 8*w**2 + 7*w = 0.
0, 1, 7
Suppose 5*m**2 - 3990*m = 0. Calculate m.
0, 798
Factor -5*s**3 - 75*s**2 - 240*s + 320.
-5*(s - 1)*(s + 8)**2
Solve t**3/2 + 43*t**2/2 - 2*t - 86 = 0.
-43, -2, 2
Find a, given that 45*a**5 - 325*a**4 + 745*a**3 - 555*a**2 + 90*a = 0.
0, 2/9, 1, 3
Factor 4*h**3 + 36*h**2 - 1920*h - 23552.
4*(h - 23)*(h + 16)**2
Suppose 3*a**5 + 30*a**4 + 84*a**3 + 72*a**2 = 0. Calculate a.
-6, -2, 0
What is m in -m**3/3 - 4*m**2/3 + 17*m - 30 = 0?
-10, 3
Solve s**5/5 + 62*s**4/5 + 121*s**3/5 + 12*s**2 = 0 for s.
-60, -1, 0
Determine y so that -3*y**2 + 27*y - 42 = 0.
2, 7
Factor a**2 - 674*a + 113569.
(a - 337)**2
Solve z**3/2 - 13*z**2/2 + 24*z - 18 = 0 for z.
1, 6
Determine y, given that y**5/3 + 17*y**4/3 + 107*y**3/3 + 319*y**2/3 + 152*y + 84 = 0.
-7, -3, -2
Factor q**2 + 371*q - 1500.
(q - 4)*(q + 375)
Determine q, given that -3*q**5 + 27*q**4 - 15*q**3 - 75*q**2 + 18*q + 48 = 0.
-1, 1, 2, 8
Factor 3*v**3/2 - 111*v**2 - 1425*v/2 - 600.
3*(v - 80)*(v + 1)*(v + 5)/2
Solve -3*s**2 + 3612*s + 3615 = 0.
-1, 1205
Solve -6*f**4/13 - 4*f**3/13 + 248*f**2/13 + 484*f/13 + 238/13 = 0 for f.
-17/3, -1, 7
Factor 18*n**3 + 56