*k**3 + 7263*k**2 - 3249*k - 282 = 0.
-47, -2/27, 1
Factor t**5 - 54*t**4 + 252*t**3 - 346*t**2 + 147*t.
t*(t - 49)*(t - 3)*(t - 1)**2
Solve -2*p**4 - 734*p**3 - 90750*p**2 - 3894506*p - 14172488 = 0.
-121, -4
Suppose -l**4/2 - 9*l**3/2 - 29*l**2/2 - 39*l/2 - 9 = 0. Calculate l.
-3, -2, -1
Determine y so that -5*y**3 - 1985*y**2 + 8000*y - 8020 = 0.
-401, 2
Factor -w**3/7 - 24*w**2/7 - 183*w/7 - 440/7.
-(w + 5)*(w + 8)*(w + 11)/7
Find z such that 3*z**5/4 - 45*z**3/4 + 15*z**2/2 + 45*z - 54 = 0.
-3, 2
Let 63*o**4/5 + 174*o**3/5 - 21*o**2 - 492*o/5 - 36 = 0. What is o?
-2, -3/7, 5/3
Find k such that 3*k**3/2 - 39*k**2 - 84*k = 0.
-2, 0, 28
Find w, given that -w**5/7 + 12*w**4/7 - 8*w**3 + 18*w**2 - 135*w/7 + 54/7 = 0.
1, 2, 3
Factor 11*j**2/6 + 29*j/6 + 7/3.
(j + 2)*(11*j + 7)/6
Let 5*b**4 - 6325*b**3 + 2658555*b**2 - 367699095*b - 1513739340 = 0. What is b?
-4, 423
Factor -q**3 + 49*q**2 - 140*q + 92.
-(q - 46)*(q - 2)*(q - 1)
Find x, given that x**3 - 256*x**2 - 515*x - 258 = 0.
-1, 258
Factor z**4 + 101*z**3 + 3591*z**2 + 54511*z + 301796.
(z + 19)**3*(z + 44)
Solve -d**2/5 + 99*d/5 + 242 = 0 for d.
-11, 110
Factor -4*z**3 + 264*z**2 - 2084*z + 1824.
-4*(z - 57)*(z - 8)*(z - 1)
Find l, given that -375*l**4 + 75*l**3 + 270*l**2 - 156*l + 24 = 0.
-1, 2/5
What is b in 4*b**3 - 56*b**2 + 140*b - 88 = 0?
1, 2, 11
Find s such that -2*s**2/19 + 136*s/19 - 2312/19 = 0.
34
Suppose -2*h**3/5 + 14*h**2/5 - 24*h/5 = 0. What is h?
0, 3, 4
Solve a**3 + 20*a**2 + 100*a = 0 for a.
-10, 0
Factor -43*p**2 - 181*p - 36.
-(p + 4)*(43*p + 9)
Let -2*c**4/3 - 32*c**3/3 - 16*c**2 + 640*c/3 - 800/3 = 0. Calculate c.
-10, 2
Determine k, given that -10*k**3/7 + 1462*k**2/7 - 1742*k/7 + 290/7 = 0.
1/5, 1, 145
Suppose 5*h**5/3 + 55*h**4/3 + 35*h**3/3 - 245*h**2 = 0. What is h?
-7, 0, 3
Factor -4*r**3 - 4968*r**2 - 2056752*r - 283831776.
-4*(r + 414)**3
Let -q**5 - 5*q**4 + q**3 + 29*q**2 + 12*q - 36 = 0. Calculate q.
-3, -2, 1, 2
Factor -5*u**4 + 20*u**3 + 50*u**2 - 140*u + 75.
-5*(u - 5)*(u - 1)**2*(u + 3)
Suppose 3*x**3 - 192*x**2 - 804*x - 816 = 0. What is x?
-2, 68
Let -d**5/9 - 134*d**4/9 - 6073*d**3/9 - 96932*d**2/9 - 176176*d/9 - 85184/9 = 0. Calculate d.
-44, -1
Let -r**2/7 + 36*r/7 - 99/7 = 0. What is r?
3, 33
Suppose 4*f**4/7 - 16*f**3/7 + 64*f/7 - 64/7 = 0. What is f?
-2, 2
Determine a, given that -4*a**5 - 136*a**4 - 1144*a**3 + 416*a**2 + 3740*a + 2312 = 0.
-17, -1, 2
Factor -s**4 + s**2.
-s**2*(s - 1)*(s + 1)
Determine p, given that -980*p**2 + 21420*p - 117045 = 0.
153/14
Let 3*w**3 + 60*w**2 - 129*w + 66 = 0. Calculate w.
-22, 1
Let -2*l**4/13 - 56*l**3/13 - 322*l**2/13 - 604*l/13 - 336/13 = 0. Calculate l.
-21, -4, -2, -1
Find p such that 3*p**5 + 12*p**4 + 15*p**3 + 6*p**2 = 0.
-2, -1, 0
Determine l so that -4*l**5 + 52*l**4 + 188*l**3 + 76*l**2 - 184*l - 128 = 0.
-2, -1, 1, 16
Suppose 5*j**3 + 60*j**2 - 5*j - 660 = 0. What is j?
-11, -4, 3
Let -2*f**3 + 32*f**2 - 40*f - 800 = 0. Calculate f.
-4, 10
What is k in -2*k**5/13 - 54*k**4/13 - 50*k**3/13 + 54*k**2/13 + 4*k = 0?
-26, -1, 0, 1
Solve t**2/3 - 5*t + 14/3 = 0 for t.
1, 14
Factor -2*q**2/7 + 50*q/7 - 228/7.
-2*(q - 19)*(q - 6)/7
Factor 4*y**3/5 - 204*y**2/5 + 540*y - 500.
4*(y - 25)**2*(y - 1)/5
Find g such that g**3/7 - 19*g**2/7 + 86*g/7 - 104/7 = 0.
2, 4, 13
Determine o, given that -3*o**3/5 + 168*o**2/5 - 435*o - 5046/5 = 0.
-2, 29
Factor -5*i**3 + 40*i**2 - 65*i + 30.
-5*(i - 6)*(i - 1)**2
Solve -x**4 + 920*x**3 - 282744*x**2 + 29214432*x - 57305232 = 0 for x.
2, 306
Factor -q**3 - 13*q**2 - 51*q - 63.
-(q + 3)**2*(q + 7)
Factor 6125*p**2 - 13300*p + 7220.
5*(35*p - 38)**2
Factor 17*f**2 - 359*f/3 + 14/3.
(f - 7)*(51*f - 2)/3
Factor -2*c**4 - 8*c**3 - 10*c**2 - 4*c.
-2*c*(c + 1)**2*(c + 2)
Factor -8*i**3/3 - 16*i**2 + 109*i/6 - 7/2.
-(i + 7)*(4*i - 3)*(4*i - 1)/6
Suppose 4*v**3 + 108*v**2 + 972*v + 2916 = 0. What is v?
-9
Let -2*u**2 - 74*u + 156 = 0. Calculate u.
-39, 2
Factor 2*r**2/9 + 212*r/9 + 194.
2*(r + 9)*(r + 97)/9
Factor 5*y**2 - 25*y + 30.
5*(y - 3)*(y - 2)
Let -3*t**2 + 1968*t - 322752 = 0. Calculate t.
328
Solve 2*k**4/3 - 158*k**3/3 + 1378*k**2 - 44954*k/3 + 175760/3 = 0 for k.
13, 40
Factor 3*o**3 - 57*o - 90.
3*(o - 5)*(o + 2)*(o + 3)
Factor 2*x**2 - 262*x + 516.
2*(x - 129)*(x - 2)
Find m such that -3*m**4/8 + 51*m**3/8 - 303*m**2/8 + 705*m/8 - 225/4 = 0.
1, 5, 6
Suppose 4*l**3 - 56*l**2 + 52*l = 0. Calculate l.
0, 1, 13
Determine t, given that 5*t**4 + 40*t**3 + 75*t**2 - 40*t - 80 = 0.
-4, -1, 1
Factor 32*p**2/21 + 400*p/21 + 1250/21.
2*(4*p + 25)**2/21
Let 8*f**3/13 - 2*f**2/13 - 32*f/13 + 8/13 = 0. Calculate f.
-2, 1/4, 2
Determine f, given that -4*f**3 - 8*f**2 + 20*f + 24 = 0.
-3, -1, 2
Suppose 8*l**3/19 - 46*l**2/19 - 588*l/19 - 144/19 = 0. Calculate l.
-6, -1/4, 12
Let 3*i**3 + 54*i**2 + 216*i = 0. Calculate i.
-12, -6, 0
Factor -343*m**5 + 5390*m**4 - 18760*m**3 - 53360*m**2 + 211600*m + 389344.
-(m + 2)**2*(7*m - 46)**3
Suppose -3*f**4 + 15*f**3 + 15*f**2 - 135*f + 108 = 0. Calculate f.
-3, 1, 3, 4
Factor -o**3/3 + 3*o**2 + o/3 - 3.
-(o - 9)*(o - 1)*(o + 1)/3
Factor 3*m**4/4 - 15*m**3/2 + 18*m**2 - 33*m/2 + 21/4.
3*(m - 7)*(m - 1)**3/4
Determine h so that -2*h**4/11 - 50*h**3/11 - 304*h**2/11 - 544*h/11 = 0.
-17, -4, 0
Find l such that -l**2 - 1170*l - 342225 = 0.
-585
Let 147*t**3 - 280*t**2 + 124*t - 16 = 0. What is t?
2/7, 4/3
Factor 5*m**2 - 20*m + 15.
5*(m - 3)*(m - 1)
Determine s, given that -s**4/4 - 3*s**3/2 + 7*s**2/4 = 0.
-7, 0, 1
Find p, given that 3*p**3 + 138*p**2 - 141*p = 0.
-47, 0, 1
Determine n, given that n**2/4 + 37*n = 0.
-148, 0
Find o, given that o**3/2 - 17*o**2/2 + 19*o + 28 = 0.
-1, 4, 14
Let -5*l**5 + 70*l**4 - 380*l**3 + 1000*l**2 - 1280*l + 640 = 0. What is l?
2, 4
Factor 2*x**3/9 + 8*x**2/9 - 22*x/9 + 4/3.
2*(x - 1)**2*(x + 6)/9
Solve 4*n**4 - 36*n**3 + 32*n**2 = 0.
0, 1, 8
Find l such that -3*l**5/8 - 15*l**4/8 + 315*l**3/8 + 15*l**2/8 - 39*l = 0.
-13, -1, 0, 1, 8
Solve -10*q**5/9 + 52*q**4/9 + 50*q**3/9 - 332*q**2/9 - 256*q/9 + 64/9 = 0.
-2, -1, 1/5, 4
Find q such that -10*q**5/9 + 22*q**4/3 - 152*q**3/9 + 128*q**2/9 - 32/9 = 0.
-2/5, 1, 2
Let -2*v**4 - 20*v**3 + 6*v**2 + 280*v - 392 = 0. Calculate v.
-7, 2
Factor -2*d**2 + 3902*d.
-2*d*(d - 1951)
Determine r so that 3*r**5/8 - 15*r**3 - 60*r**2 - 90*r - 48 = 0.
-2, 8
Factor 243*b**3 - 549*b**2 - 528*b - 36.
3*(b - 3)*(3*b + 2)*(27*b + 2)
Solve 3*y**4/2 - 6*y**3 - 135*y**2/2 = 0.
-5, 0, 9
Suppose i**4/5 - 112*i**3 + 23520*i**2 - 2195200*i + 76832000 = 0. Calculate i.
140
Suppose 24*o**2/5 - 52*o/5 + 8/5 = 0. What is o?
1/6, 2
Determine v so that -49*v**3 - 252*v**2 + 243*v - 54 = 0.
-6, 3/7
Let 10*k**2 + 855*k + 5135 = 0. What is k?
-79, -13/2
Let -n**2/5 + 1682*n/5 - 707281/5 = 0. What is n?
841
Solve -324*r**4/11 + 41598*r**3/11 - 16048*r**2/11 - 10272*r/11 + 4096/11 = 0 for r.
-1/2, 4/9, 128
Factor 4*s**2 - 148*s + 144.
4*(s - 36)*(s - 1)
Factor 2*n**5 - 12*n**4 + 24*n**3 - 20*n**2 + 6*n.
2*n*(n - 3)*(n - 1)**3
Solve 6*j**5/7 + 86*j**4/7 + 354*j**3/7 + 306*j**2/7 - 136*j/7 - 24 = 0 for j.
-7, -6, -1, 2/3
Factor 3*k**3 + 333*k**2 + 9072*k - 9408.
3*(k - 1)*(k + 56)**2
Find g such that -g**5 + 86*g**4 + 356*g**3 + 360*g**2 = 0.
-2, 0, 90
Determine x so that 15*x**2 + 7467*x - 1494 = 0.
-498, 1/5
Let 2*z**2/15 - 408*z/5 + 62424/5 = 0. What is z?
306
Determine a, given that -72*a**3/5 + 3*a**2/5 + 22*a/5 - 1 = 0.
-5/8, 1/3
Solve -z**3/3 + z**2/3 + 800*z/3 + 2816 = 0 for z.
-16, 33
Solve -2*r**3/11 - 10*r**2/11 + 12*r/11 = 0 for r.
-6, 0, 1
Determine h, given that -h**2/3 + 38*h/3 + 80/3 = 0.
-2, 40
Let -2*d**2 + 198*d + 200 = 0. Calculate d.
-1, 100
Factor 4*m**4 - 4*m**3.
4*m**3*(m - 1)
Factor 2*k**2/13 + 10*k/13 - 12/13.
2*(k - 1)*(k + 6)/13
Determine n, given that 2*n**3 + 220*n**2 + 214*n - 436 = 0.
-109, -2, 1
Factor -2*l**5/3 + 44*l**4/3 - 52*l**3 + 224*l**2/3 - 146*l/3 + 12.
-2*(l - 18)*(l - 1)**4/3
Find c such that -3*c**3 + 12*c**2 + 75*c - 84 = 0.
-4, 1, 7
What is q in -4*q**2 - 2424*q + 4864 = 0?
-608, 2
Factor 4*s**2 + 8*s.
4*s*(s + 2)
Solve 5*t**3 + 515*t**2 + 2470*t + 1960 = 0.
-98, -4, -1
Let -i**5 - 80*i**4 - 1678*i**3 - 3120*i**2 - 1521*i = 0. Calculate i.
-39, -1, 0
Find a such that 3*a**5 + 39*a**4 + 57*a**3 - 1179*a**2 - 5940*a - 8100 = 0.
-6, -5, -3, 6
Solve -2