*3 - 645*v**2 + 1908*v + 108.
3*(v - 6)**2*(18*v + 1)
Solve -4*p**2/3 - 56*p/3 + 380/3 = 0.
-19, 5
Find h, given that -2*h**2/11 + 172*h/11 - 3698/11 = 0.
43
Factor 3*s**3/4 - 27*s**2/2 + 24*s.
3*s*(s - 16)*(s - 2)/4
Factor o**5/4 + 31*o**4/2 + 1321*o**3/4 + 2615*o**2 + 4300*o + 2000.
(o + 1)**2*(o + 20)**3/4
Factor -v**2/3 + 138*v - 1215.
-(v - 405)*(v - 9)/3
Factor -5*n**3/7 + 302*n**2/7 - 415*n/7 + 118/7.
-(n - 59)*(n - 1)*(5*n - 2)/7
Suppose -3*v**5/2 - 223*v**4/2 + 159*v**3/2 + 663*v**2/2 - 448*v + 150 = 0. Calculate v.
-75, -2, 2/3, 1
Determine t so that -2*t**3 - 8*t**2 + 58*t - 48 = 0.
-8, 1, 3
Factor -2*h**4 + 58*h**3 + 122*h**2 + 62*h.
-2*h*(h - 31)*(h + 1)**2
Let -2*l**4 + 6*l**3 + 34*l**2 - 78*l + 40 = 0. Calculate l.
-4, 1, 5
Factor 21*b**5/5 + 66*b**4/5 + 72*b**3/5 + 6*b**2 + 3*b/5.
3*b*(b + 1)**3*(7*b + 1)/5
Factor c**2/2 + 121*c/2 + 177.
(c + 3)*(c + 118)/2
Factor -2*n**3/9 + 286*n**2/9 - 1120*n - 1152.
-2*(n - 72)**2*(n + 1)/9
Suppose 4*w**5 - 44*w**4 + 40*w**3 + 424*w**2 + 532*w + 196 = 0. Calculate w.
-1, 7
Factor 2*v**2/11 + 4*v/11.
2*v*(v + 2)/11
Solve -5*z**2 - 7660*z - 2933780 = 0 for z.
-766
Suppose -4*a**2 - 48*a = 0. What is a?
-12, 0
Solve -4*p**3/7 + 60*p**2 - 408*p/7 - 832/7 = 0 for p.
-1, 2, 104
Find y such that -3*y**5 + 3*y**4 + 45*y**3 - 75*y**2 - 42*y + 72 = 0.
-4, -1, 1, 2, 3
Factor m**3/3 + 46*m**2/3 + 233*m/3 - 280/3.
(m - 1)*(m + 7)*(m + 40)/3
Solve -3*y**3 - 2454*y**2 - 501843*y = 0.
-409, 0
Solve 14*k**3 - 862*k**2 + 3424*k/7 - 488/7 = 0.
2/7, 61
Let 5*c**3 - 180*c**2 - 185*c = 0. Calculate c.
-1, 0, 37
Determine q, given that 2*q**2/3 + 158*q/9 + 52/9 = 0.
-26, -1/3
Factor i**2 - 10*i + 9.
(i - 9)*(i - 1)
Determine b so that -3*b**5 + 84*b**4 + 57*b**3 - 10830*b**2 = 0.
-10, 0, 19
Factor 2*n**2/11 - 2*n/11.
2*n*(n - 1)/11
Factor 4*x**4 - 2304*x**3 + 497664*x**2 - 47775744*x + 1719926784.
4*(x - 144)**4
Let 3*i**2 + 1158*i + 111747 = 0. What is i?
-193
Find x, given that -3*x**2 - 66*x + 144 = 0.
-24, 2
Factor 2*n**2/9 + 20*n/3 + 58/9.
2*(n + 1)*(n + 29)/9
Let -5*j**2 - 105*j - 450 = 0. What is j?
-15, -6
Suppose -2*k**4/7 + 596*k**3/7 - 33842*k**2/7 - 1573440*k/7 - 13939200/7 = 0. What is k?
-16, 165
Factor -7*r**2/6 + 613*r/6 + 44.
-(r - 88)*(7*r + 3)/6
Factor 5*q**4 + 14430*q**3 + 43260*q**2 + 43250*q + 14415.
5*(q + 1)**3*(q + 2883)
Factor -3*z**4 + 3*z**3 + 6*z**2.
-3*z**2*(z - 2)*(z + 1)
Find n such that 2*n**2/7 - 424*n/7 - 856/7 = 0.
-2, 214
Determine a so that 2*a**2 - 168*a + 3528 = 0.
42
Find h, given that 2*h**3/3 + 24*h**2 - 230*h/3 + 52 = 0.
-39, 1, 2
Find y, given that -3*y**3 - 93*y**2 - 174*y = 0.
-29, -2, 0
Factor x**3/3 - 50*x**2/3 - 103*x/3 - 52/3.
(x - 52)*(x + 1)**2/3
Factor 4*w**2 + 268*w + 520.
4*(w + 2)*(w + 65)
Solve -g**3 + 167*g**2 - 5963*g - 87131 = 0 for g.
-11, 89
What is n in 5*n**2 - 610*n + 605 = 0?
1, 121
Factor 2*j**2 + 2164*j + 2162.
2*(j + 1)*(j + 1081)
Factor -2*a**2/15 + 98*a/15 - 32/5.
-2*(a - 48)*(a - 1)/15
Let 3*x**5 + 3*x**4 - 3*x**3 - 3*x**2 = 0. What is x?
-1, 0, 1
Find h such that 2*h**3/3 + 181*h**2/3 + 1380*h + 675 = 0.
-45, -1/2
Factor -170*f**3 - 2384*f**2/7 - 1198*f/7 - 4/7.
-2*(f + 1)**2*(595*f + 2)/7
Factor 3*v**2 + 153*v - 1830.
3*(v - 10)*(v + 61)
Factor -2*d**3 - 28*d**2 + 70*d + 96.
-2*(d - 3)*(d + 1)*(d + 16)
What is v in -2*v**2/5 + 7096*v/5 - 6294152/5 = 0?
1774
What is t in -125*t**5 - 325*t**4 - 290*t**3 - 106*t**2 - 17*t - 1 = 0?
-1, -1/5
Factor -2*r**2/3 - 14*r - 40/3.
-2*(r + 1)*(r + 20)/3
Solve -u**2/6 - 835*u/2 - 1252/3 = 0.
-2504, -1
Let -g**2/2 - 21*g/2 + 50 = 0. What is g?
-25, 4
Factor 2*g**4 + 2336*g**3 + 1023168*g**2 + 199176704*g + 14539899392.
2*(g + 292)**4
Factor 4*r**3 - 104*r**2.
4*r**2*(r - 26)
Factor 2*f**2 - 1550*f - 1552.
2*(f - 776)*(f + 1)
Factor 5*f**3 - 4770*f**2 + 1516860*f - 160787160.
5*(f - 318)**3
Determine p, given that -3*p**5/8 + 843*p**4/8 - 1671*p**3/4 + 2499*p**2/4 - 3327*p/8 + 831/8 = 0.
1, 277
Let -3*c**2/5 - 11837*c/5 + 3946/5 = 0. Calculate c.
-3946, 1/3
Solve 5*z**2 + 50*z + 125 = 0.
-5
Find z such that 11*z**3 + 35*z**2 + 6*z = 0.
-3, -2/11, 0
Suppose 4*j**3 + 4096*j**2 + 8180*j + 4088 = 0. What is j?
-1022, -1
Find q such that -2*q**5/9 + 4*q**3/3 - 16*q**2/9 + 2*q/3 = 0.
-3, 0, 1
Factor -w**4 - 64*w**3 - 61*w**2 + 126*w.
-w*(w - 1)*(w + 2)*(w + 63)
Suppose s**4/3 + 50*s**3/3 - 53*s**2/3 - 34*s = 0. Calculate s.
-51, -1, 0, 2
Factor 30258*q**2 + 1230*q + 25/2.
(246*q + 5)**2/2
Determine x so that -15*x**4 + 21*x**3 + 36*x**2 = 0.
-1, 0, 12/5
Factor 2*b**4/3 - 86*b**3/3 + 420*b**2 - 6664*b/3 + 5488/3.
2*(b - 14)**3*(b - 1)/3
Determine p so that -3*p**3/5 + 21*p**2/5 + 18*p = 0.
-3, 0, 10
Let m**2 + 31*m - 32 = 0. Calculate m.
-32, 1
Find h, given that 3*h**3 - 4452*h**2 + 1647231*h + 3312294 = 0.
-2, 743
Factor -3*l**5 + 25*l**4 + 18*l**3.
-l**3*(l - 9)*(3*l + 2)
Determine a, given that -3*a**3 + 828*a**2 - 76176*a + 2336064 = 0.
92
Factor -2*n**3/9 + 130*n**2/3 - 2236*n/9 - 672.
-2*(n - 189)*(n - 8)*(n + 2)/9
Factor 6*i**4/17 + 874*i**3/17 - 292*i**2/17.
2*i**2*(i + 146)*(3*i - 1)/17
Factor 2*t**4 - 60*t**3 - 2112*t**2 + 65596*t - 63426.
2*(t - 31)**2*(t - 1)*(t + 33)
Find c, given that -5*c**4 + 5*c**3 + 35*c**2 - 65*c + 30 = 0.
-3, 1, 2
Solve -q**3/6 - 99*q**2 + 597*q/2 = 0.
-597, 0, 3
Let -81*g**5/10 + 171*g**4/10 + 20*g**3 + 24*g**2/5 = 0. Calculate g.
-4/9, 0, 3
Factor j**4/4 - 9*j**3 + 71*j**2/2 + 99*j + 217/4.
(j - 31)*(j - 7)*(j + 1)**2/4
Solve d**5/2 + 5*d**4 + 23*d**3/2 + 7*d**2 = 0 for d.
-7, -2, -1, 0
Factor 2*t**3/9 - 2*t**2 + 4*t/3 + 112/9.
2*(t - 7)*(t - 4)*(t + 2)/9
Factor -14*h**2/9 - 62*h/9 - 8/3.
-2*(h + 4)*(7*h + 3)/9
Factor -3*i**3/7 + 18*i**2/7 + 381*i/7 + 360/7.
-3*(i - 15)*(i + 1)*(i + 8)/7
Factor 5*c**2 - 25*c + 20.
5*(c - 4)*(c - 1)
Let -2*h**5/9 - 28*h**4/9 - 116*h**3/9 - 40*h**2/9 + 550*h/9 + 500/9 = 0. What is h?
-5, -1, 2
Determine i, given that i**5/6 - 144*i**4 + 248831*i**3/6 - 3981168*i**2 - 41472*i + 3981312 = 0.
-1, 1, 288
Solve -20*d**4 - 108*d**3 - 200*d**2 - 144*d - 32 = 0 for d.
-2, -1, -2/5
Factor a**4 + 3568*a**3 + 4773984*a**2 + 2838929152*a + 633081200896.
(a + 892)**4
Solve -s**4/3 + 29*s**3/3 + 34*s**2 - 184*s/3 - 256/3 = 0 for s.
-4, -1, 2, 32
Find b such that -b**4/2 + 931*b**3 - 577530*b**2 + 119163069*b + 239483061/2 = 0.
-1, 621
Factor 3*z**2 + 3*z.
3*z*(z + 1)
Factor 4*f**2/5 - 56*f/5 - 96.
4*(f - 20)*(f + 6)/5
Factor -2*x**4 + 64*x**3 - 666*x**2 + 2268*x.
-2*x*(x - 14)*(x - 9)**2
Factor -3*g**4 - 57*g**3 - 354*g**2 - 828*g - 648.
-3*(g + 2)**2*(g + 6)*(g + 9)
Factor 4*l**4 + 48*l**3 + 144*l**2.
4*l**2*(l + 6)**2
Factor -3*m**5 + 69*m**4 - 297*m**3 + 507*m**2 - 384*m + 108.
-3*(m - 18)*(m - 2)*(m - 1)**3
Factor 2*v**5/9 + 32*v**4/3 + 704*v**3/9 - 3584*v**2/3 + 25088*v/9.
2*v*(v - 4)**2*(v + 28)**2/9
Find s, given that 3*s**2/7 - 2973*s/7 - 2976/7 = 0.
-1, 992
Find n such that 2*n**4/3 - 6*n**3 + 58*n**2/3 - 26*n + 12 = 0.
1, 2, 3
Factor -b**2/7 - 17*b/7.
-b*(b + 17)/7
Solve x**2/4 - 176*x + 30976 = 0.
352
Solve 2*k**4/9 - 40*k**3/9 + 46*k**2/3 + 404*k/9 + 224/9 = 0 for k.
-1, 8, 14
Let 2*s**3 + 594*s**2 + 43200*s - 135000 = 0. Calculate s.
-150, 3
Suppose 2*r**2/7 + 92*r/7 = 0. What is r?
-46, 0
What is u in -5*u**5 - 2865*u**4 + 2885*u**3 + 8605*u**2 - 2880*u - 5740 = 0?
-574, -1, 1, 2
Factor 5*v**2 - 845*v + 1670.
5*(v - 167)*(v - 2)
Factor -g**2/2 - 1710*g - 1462050.
-(g + 1710)**2/2
Find a such that -a**5 - 27*a**4 - 219*a**3 - 505*a**2 - 456*a - 144 = 0.
-12, -1
Solve 80*r**4 + 120*r**3 - 75*r**2 - 125*r = 0.
-5/4, 0, 1
Let -5*c**4 - 1695*c**3 - 11675*c**2 - 18285*c - 8300 = 0. What is c?
-332, -5, -1
Suppose 2*p**2/7 - 782*p/7 + 780/7 = 0. What is p?
1, 390
Factor -3*f**4/2 + 143*f**3/3 - 1120*f**2/3 - 256*f/3.
-f*(f - 16)**2*(9*f + 2)/6
Solve 3*t**5/8 - 111*t**4/8 - 3*t**3/4 + 111*t**2/4 + 3*t/8 - 111/8 = 0.
-1, 1, 37
Factor -3*u**2/5 - 183*u/5 - 354/5.
-3*(u + 2)*(u + 59)/5
Factor w**3/2 - 13*w**2/2 + 22*w - 16.
(w - 8)*(w - 4)*(w - 1)/2
Factor t**3/11 - 4*t**2/11.
t**2*(t - 4)/11
Let 24*y**5 - 476*y**4 - 1112*y**3 - 700*y**2 - 88*y = 0. Calculate y.
-1, -1/6, 0, 22
Factor 2*x**3/3 - 62*x**2/3 + 172*x/3 - 112/3.
2*(x - 28)*(x - 2)*(x - 1)/3
Factor 2*b**4/11 - 182*b**3/11 + 358*b**2/11 - 178*b/11.
2*b*(b - 89)*(b - 1)**2/11
Find f, given