-5*w**2 + 16450*w - 13530125 = 0.
1645
Determine y so that 5*y**2 + 135*y - 290 = 0.
-29, 2
Factor 5*m**2 - 30*m - 80.
5*(m - 8)*(m + 2)
Factor 2*x**3/3 - 22*x**2 + 80*x - 232/3.
2*(x - 29)*(x - 2)**2/3
Suppose k**3/8 - 13*k**2/4 - 55*k/8 - 7/2 = 0. What is k?
-1, 28
What is j in -2*j**3/19 - 14*j**2/19 - 30*j/19 - 18/19 = 0?
-3, -1
Factor g**3/3 - 24*g**2 - 187*g + 632/3.
(g - 79)*(g - 1)*(g + 8)/3
Suppose 50*x**4/9 - 7220*x**3/9 + 262082*x**2/9 - 11552*x + 1152 = 0. Calculate x.
1/5, 72
Factor 15*f**4 - 100*f**3 + 195*f**2 - 150*f + 40.
5*(f - 4)*(f - 1)**2*(3*f - 2)
Suppose -4*a**5 + 24*a**4 - 16*a**3 - 24*a**2 + 20*a = 0. Calculate a.
-1, 0, 1, 5
Factor -s**3/2 + 5*s**2/2 + 17*s/2 - 21/2.
-(s - 7)*(s - 1)*(s + 3)/2
Suppose 2*h**4/21 + 58*h**3/21 + 148*h**2/7 + 1280*h/21 + 1216/21 = 0. Calculate h.
-19, -4, -2
Let -v**4/6 - 9*v**3 - 829*v**2/6 - 450*v - 1250/3 = 0. Calculate v.
-25, -2
Factor -c**2 + 1917*c/4 - 479/4.
-(c - 479)*(4*c - 1)/4
Let -i**2/2 - 11*i = 0. What is i?
-22, 0
Factor -o**4 + 15*o**3 - 36*o**2 - 4*o + 48.
-(o - 12)*(o - 2)**2*(o + 1)
Factor j**3 - 6*j**2 - 9*j + 14.
(j - 7)*(j - 1)*(j + 2)
Find j, given that j**4/2 - 27*j**2/2 + 27*j = 0.
-6, 0, 3
Determine s so that -5*s**4/6 - 75*s**3/2 - 645*s**2/2 + 4565*s/6 - 400 = 0.
-32, -15, 1
Suppose -4*b**4 - 32*b**3 + 44*b**2 + 72*b = 0. Calculate b.
-9, -1, 0, 2
Factor -2*i**2 + 528*i - 34848.
-2*(i - 132)**2
Suppose 4*g**4 - 8*g**3 - 12*g**2 + 32*g - 16 = 0. Calculate g.
-2, 1, 2
Factor -f**2 + 115*f/6 - 19/6.
-(f - 19)*(6*f - 1)/6
Factor n**2 - 62*n + 177.
(n - 59)*(n - 3)
Let -36*k**5 + 748*k**4 - 3072*k**3 - 1872*k**2 + 17024*k + 3840 = 0. Calculate k.
-2, -2/9, 4, 15
Factor x**4 + 21*x**3/4 + 21*x**2/4 + x.
x*(x + 1)*(x + 4)*(4*x + 1)/4
Factor -2*b**3 - 272*b**2 - 9248*b.
-2*b*(b + 68)**2
Factor -20*g**3 + 385*g**2 - 775*g + 170.
-5*(g - 17)*(g - 2)*(4*g - 1)
Factor 2*n**4/7 - 2*n**3/7 - 116*n**2/7 + 32*n.
2*n*(n - 7)*(n - 2)*(n + 8)/7
Find w, given that -w**4/5 - 47*w**3/5 - 177*w**2/5 - 217*w/5 - 86/5 = 0.
-43, -2, -1
Determine v, given that v**4 - 21*v**3 + 39*v**2 - 19*v = 0.
0, 1, 19
Let 3*k**5/2 + 9*k**4/2 - 6*k**3 - 18*k**2 = 0. What is k?
-3, -2, 0, 2
What is q in -3*q**3/2 + 315*q**2/2 - 4941*q/2 - 189771/2 = 0?
-17, 61
Factor 4*u**4/3 - 28*u**3/3 - 16*u**2/3 + 112*u/3.
4*u*(u - 7)*(u - 2)*(u + 2)/3
Factor 15*u**3 - 1521*u**2 - 924*u + 612.
3*(u - 102)*(u + 1)*(5*u - 2)
Factor 2*v**2/25 - 56*v/5 + 392.
2*(v - 70)**2/25
Factor d**3/4 - d/4.
d*(d - 1)*(d + 1)/4
Find o, given that -4*o**4 + 36*o**3 + 104*o**2 - 144*o - 352 = 0.
-2, 2, 11
Let 2*o**2 - 176*o + 3872 = 0. Calculate o.
44
Suppose 2*l**4 - 814*l**3/15 + 2346*l**2/5 - 6358*l/5 + 484/3 = 0. Calculate l.
2/15, 5, 11
Determine p so that 2*p**3 + 116*p**2 + 1784*p + 3120 = 0.
-30, -26, -2
Suppose 4*r**3/5 - 8*r**2 + 68*r/5 + 112/5 = 0. Calculate r.
-1, 4, 7
Determine y so that 2*y**5/5 - 8*y**4 - 1168*y**3/5 - 3244*y**2/5 - 3154*y/5 - 1036/5 = 0.
-14, -1, 37
Factor -5*g**2 - 310*g + 2040.
-5*(g - 6)*(g + 68)
Factor -2*f**2/13 + 38*f/13 - 176/13.
-2*(f - 11)*(f - 8)/13
Factor 4*x**5 + 64*x**4 - 144*x**3 + 8*x**2 + 140*x - 72.
4*(x - 1)**3*(x + 1)*(x + 18)
Factor y**4/5 + 11*y**3/5 + 17*y**2/5 - 71*y/5 + 42/5.
(y - 1)**2*(y + 6)*(y + 7)/5
Factor -k**2/2 + 277*k - 76729/2.
-(k - 277)**2/2
Find l, given that -8*l**5/7 - 2148*l**4/7 - 1066*l**3/7 + 1613*l**2/7 + 1341*l/7 + 268/7 = 0.
-268, -1/2, 1
Let p**4 + 96*p**3 - 2220*p**2 + 11600*p = 0. What is p?
-116, 0, 10
Factor 3*w**2/4 + 189*w + 11907.
3*(w + 126)**2/4
Find j such that 63*j**3 - 120*j**2 - 189*j - 54 = 0.
-2/3, -3/7, 3
Solve -3*p**4 - 24750*p**3 - 51046875*p**2 = 0 for p.
-4125, 0
Factor -52*h**2 + 1276*h + 600.
-4*(h - 25)*(13*h + 6)
Factor 3*z**2/8 - 111*z/8 + 405/4.
3*(z - 27)*(z - 10)/8
Factor 2*n**2/9 + 6*n + 16.
2*(n + 3)*(n + 24)/9
Factor -2*y**3/9 + 10*y**2/9 + 32*y/3 - 24.
-2*(y - 9)*(y - 2)*(y + 6)/9
Let -3*t**3/4 + 1803*t**2/8 - 2685*t/8 - 897/4 = 0. What is t?
-1/2, 2, 299
Factor 2*b**2/11 - 6*b + 64/11.
2*(b - 32)*(b - 1)/11
Suppose -10*a**2/7 + 36*a/7 - 18/7 = 0. What is a?
3/5, 3
Factor 2*r**5/3 - 16*r**4/3 - 32*r**3.
2*r**3*(r - 12)*(r + 4)/3
Solve 21*r**4 - 510*r**3 - 927*r**2 - 240*r + 156 = 0 for r.
-1, 2/7, 26
Factor -2*t**4/7 + 2588*t**3/7 - 7752*t**2/7 + 7748*t/7 - 2582/7.
-2*(t - 1291)*(t - 1)**3/7
Find a, given that 2*a**3/3 - 22*a**2/3 + 70*a/3 - 50/3 = 0.
1, 5
Suppose 4*k**3 + 1236*k**2 = 0. Calculate k.
-309, 0
What is d in -3*d**4/2 + 339*d**3/2 + 3*d**2/2 - 339*d/2 = 0?
-1, 0, 1, 113
Factor 28*g**3/17 + 54*g**2/17 - 4*g/17.
2*g*(g + 2)*(14*g - 1)/17
Find q such that -2*q**2/3 - 1670*q/3 + 1672/3 = 0.
-836, 1
Factor -4*y**4 - 24*y**3 - 36*y**2 + 16*y + 48.
-4*(y - 1)*(y + 2)**2*(y + 3)
Factor -4*o**2 - 36*o + 88.
-4*(o - 2)*(o + 11)
Find b, given that b**2/4 - 25*b/2 + 24 = 0.
2, 48
Find r such that 4*r**4/9 - 124*r**3/9 + 736*r**2/9 = 0.
0, 8, 23
Find n such that -3*n**2 + 2076*n - 359148 = 0.
346
Factor -4*s**3 + 16*s**2 + 156*s + 216.
-4*(s - 9)*(s + 2)*(s + 3)
What is i in 3*i**5 + 43*i**4 + 87*i**3 - 243*i**2 + 110*i = 0?
-11, -5, 0, 2/3, 1
Suppose t**3/2 + 313*t**2/2 + 24335*t/2 - 24649/2 = 0. Calculate t.
-157, 1
Let -2*g**2 + 304*g - 302 = 0. What is g?
1, 151
Let 34*z**3/5 - 364*z**2/15 + 352*z/15 - 64/15 = 0. Calculate z.
4/17, 4/3, 2
Find p, given that -2*p**4/11 + 2*p**3/11 + 36*p**2/11 - 32*p/11 - 64/11 = 0.
-4, -1, 2, 4
Determine m so that 4*m**5/3 + 59*m**4/3 - 5*m**3 = 0.
-15, 0, 1/4
Suppose 10*i**2/9 + 26*i/9 - 4/3 = 0. Calculate i.
-3, 2/5
Factor z**3/10 + 17*z**2/10 + 3*z.
z*(z + 2)*(z + 15)/10
Find w such that -8*w**5/5 - 14*w**4 + 106*w**3/5 + 10*w**2 - 98*w/5 + 4 = 0.
-10, -1, 1/4, 1
Find f such that 2*f**3 + 94*f**2 + 264*f = 0.
-44, -3, 0
Factor z**2/2 - 253*z/4 + 741/4.
(z - 3)*(2*z - 247)/4
Find d, given that -3*d**5/4 - 3*d**4 + 15*d**2/2 + 3*d/4 - 9/2 = 0.
-3, -2, -1, 1
Determine n, given that n**2/6 - 17*n/3 + 32/3 = 0.
2, 32
Factor -4*l**2/3 - 18472*l/3 - 21325924/3.
-4*(l + 2309)**2/3
Factor -f**2 - 145*f.
-f*(f + 145)
What is t in 19*t**5 + 78*t**4 + 65*t**3 - 70*t**2 - 84*t - 8 = 0?
-2, -1, -2/19, 1
Factor -4*p**4 - 72*p**3 - 68*p**2.
-4*p**2*(p + 1)*(p + 17)
What is j in -4*j**2 + 1237*j - 309 = 0?
1/4, 309
Determine z so that -75*z**3/4 - 405*z**2/2 - 153*z - 30 = 0.
-10, -2/5
Factor l**4/7 - 9*l**3/7 - 11*l**2/7 + 9*l/7 + 10/7.
(l - 10)*(l - 1)*(l + 1)**2/7
Let 4*w**4 - 24*w**3 - 160*w**2 = 0. What is w?
-4, 0, 10
Factor -4*w**5/5 + 4*w**4/5 + 8*w**3/5 - 8*w**2/5 - 4*w/5 + 4/5.
-4*(w - 1)**3*(w + 1)**2/5
Find g, given that -g**5/2 + 3*g**4/2 + 13*g**3/2 - 7*g**2/2 - 18*g - 10 = 0.
-2, -1, 2, 5
Factor d**4 + 32*d**3 + 31*d**2.
d**2*(d + 1)*(d + 31)
Factor -b**3/4 + 2*b**2 + 11*b/4 - 9/2.
-(b - 9)*(b - 1)*(b + 2)/4
Suppose 5*b**5 + 550*b**4 = 0. Calculate b.
-110, 0
Determine u, given that -4*u**3/3 + 392*u**2/3 - 3920*u + 32928 = 0.
14, 42
Let -3*r**5 + 12*r**4 - 6*r**3 - 12*r**2 + 9*r = 0. Calculate r.
-1, 0, 1, 3
Factor 2*p**4/11 + 18*p**3/11 + 30*p**2/11 - 50*p/11.
2*p*(p - 1)*(p + 5)**2/11
Factor 9*b**2 - 33*b - 60.
3*(b - 5)*(3*b + 4)
Let -2*x**5/3 - 20*x**4/3 + 24*x**3 - 76*x**2/3 + 26*x/3 = 0. Calculate x.
-13, 0, 1
Factor -l**3/5 - 47*l**2/5 - 44*l/5 + 92/5.
-(l - 1)*(l + 2)*(l + 46)/5
Factor -2*a**2 + 148*a + 462.
-2*(a - 77)*(a + 3)
Factor -b**5/9 - 16*b**4/9 - 77*b**3/9 - 98*b**2/9.
-b**2*(b + 2)*(b + 7)**2/9
Factor 147*n**4 - 1113*n**3 - 576*n**2 + 588*n - 96.
3*(n - 8)*(n + 1)*(7*n - 2)**2
Determine h, given that 4*h**4 + 6*h**3 - 106*h**2 + 156*h = 0.
-13/2, 0, 2, 3
Factor -6*r**3/5 + 4317*r**2/5 - 155088*r - 77760.
-3*(r - 360)**2*(2*r + 1)/5
Factor -27*i**2/5 - i.
-i*(27*i + 5)/5
Suppose j**2/6 + 223*j/6 - 112/3 = 0. Calculate j.
-224, 1
Factor -j**3 - 3*j**2 - 3*j - 1.
-(j + 1)**3
Factor 4*d**2/7 + 52*d/7 - 8.
4*(d - 1)*(d + 14)/7
Suppose -2*j**2 - 1512*j - 285768 = 0. What is j?
-378
Factor -2034*m**2/7 + 4*m/7.
-2*m*(1017*m - 2)/7
Factor -n**3/2 - 5*n**2/6 + 4*n - 8/3.
-(n - 1)*(n + 4)*(3*n - 4)/6
Factor 4*i**5 - 4*i**4 - 24*i**3 + 16*i**2 + 32*i.
4*i*(i - 2)**2*(i + 1)*(i + 2)
Factor -5*d**2 - 1185*d.
-5*d*(d + 237)
Factor o**3/3 - 35*o**2/3 + 304*o/3.
o*(o - 19)*(o - 16)/3
What is c in -2*c**2 - 26*c - 80 = 0?
-8, -5
Suppose s**2/7 + 52*s/7 - 768/7 = 0. Calculate 