is j in -j**4/3 - 11*j**3 - 54*j**2 = 0?
-27, -6, 0
Solve -60*p**5 + 1011*p**4 + 2379*p**3 + 1371*p**2 - 51*p - 114 = 0.
-1, -2/5, 1/4, 19
Suppose -5*o**4 - 525*o**3 - 13515*o**2 + 14045*o = 0. What is o?
-53, 0, 1
Factor -f**2 - 301*f + 302.
-(f - 1)*(f + 302)
Factor -2*s**5 + 4*s**4 + 12*s**3 - 8*s**2 - 26*s - 12.
-2*(s - 3)*(s - 2)*(s + 1)**3
Factor -245*l**4 - 22505*l**3 - 19155*l**2 - 4095*l.
-5*l*(l + 91)*(7*l + 3)**2
Find i, given that -2*i**2 + 194*i/9 + 44/9 = 0.
-2/9, 11
Suppose -24*l**3/5 + 162*l**2/5 - 252*l/5 + 114/5 = 0. What is l?
1, 19/4
Suppose -3*g**5 - 63*g**4 - 411*g**3 - 837*g**2 - 486*g = 0. Calculate g.
-9, -2, -1, 0
Let -2*x**5/15 + 68*x**4/15 - 506*x**3/15 + 168*x**2/5 + 936*x/5 + 576/5 = 0. Calculate x.
-1, 6, 24
Suppose 5*r**3 - 45*r**2 - 530*r + 1200 = 0. What is r?
-8, 2, 15
Determine f so that 9*f**4 + 11892*f**3 + 3958*f**2 - 6604*f + 1321 = 0.
-1321, -1, 1/3
What is t in t**4 + t**3 - t**2 - t = 0?
-1, 0, 1
Let 3*u**3 - 27*u**2 + 72*u - 60 = 0. What is u?
2, 5
Factor 11*q**5 + 75*q**4 + 151*q**3 + 113*q**2 + 18*q - 8.
(q + 1)**3*(q + 4)*(11*q - 2)
Let -2*x**3 - 34*x**2 + 490*x - 1350 = 0. What is x?
-27, 5
Factor -506018*y**2/7 + 2012*y - 14.
-2*(503*y - 7)**2/7
Solve 4*v**3 - 196*v**2 + 184*v + 384 = 0.
-1, 2, 48
Determine w so that 2*w**4/3 - 86*w**3/3 - 30*w**2 + 86*w/3 + 88/3 = 0.
-1, 1, 44
Factor 2*n**4/3 + 20*n**3/3 + 16*n**2 - 20*n/3 - 50/3.
2*(n - 1)*(n + 1)*(n + 5)**2/3
What is z in -2*z**5/9 + 4*z**4/3 - 2*z**3/3 - 20*z**2/9 = 0?
-1, 0, 2, 5
Suppose -5*x**5 + 30*x**4 - 70*x**3 + 80*x**2 - 45*x + 10 = 0. Calculate x.
1, 2
Factor u**2/5 - 94*u/5 + 93/5.
(u - 93)*(u - 1)/5
Find w, given that 2*w**2/3 - 8*w/3 - 128 = 0.
-12, 16
Factor -3*p**3/4 - 273*p**2/2 - 19899*p/4 + 117612.
-3*(p - 16)*(p + 99)**2/4
Solve t**5/2 - 13*t**4 - 117*t**3/2 - 47*t**2 + 58*t + 60 = 0 for t.
-2, -1, 1, 30
Determine i so that -5*i**2 + 2847*i - 1138 = 0.
2/5, 569
Factor -9*n**4 - 15*n**3 + 8*n**2 + 16*n.
-n*(n - 1)*(3*n + 4)**2
Factor -3*f**5 + 24*f**4 - 54*f**3 + 48*f**2 - 15*f.
-3*f*(f - 5)*(f - 1)**3
Suppose -2*k**2/7 + 26*k/7 + 4 = 0. What is k?
-1, 14
Find s such that s**3/3 - 4*s**2 + 44*s/3 - 16 = 0.
2, 4, 6
Find g, given that 50*g**3 + 305*g**2 + 480*g + 45 = 0.
-3, -1/10
Find s, given that 70*s**3 + 908*s**2 + 466*s - 372 = 0.
-62/5, -1, 3/7
Find x, given that -3*x**4 + 18*x**3 - 27*x**2 + 12*x = 0.
0, 1, 4
Solve 70*d**4 - 1625*d**3 + 8175*d**2 - 1450*d - 1120 = 0.
-2/7, 1/2, 7, 16
What is z in -9*z**4 - 1434*z**3 - 3313*z**2 - 2516*z - 628 = 0?
-157, -1, -2/3
Let -6*c**5 + 16*c**4 + 56*c**3 + 12*c**2 - 50*c - 28 = 0. Calculate c.
-1, 1, 14/3
Factor 98*g**3/11 + 126*g**2/11 - 96*g/11 - 128/11.
2*(g - 1)*(7*g + 8)**2/11
Factor 5*a**2 - 460*a.
5*a*(a - 92)
Factor 2*c**5 + 572*c**4 - 1152*c**3 + 4*c**2 + 1150*c - 576.
2*(c - 1)**3*(c + 1)*(c + 288)
Factor -q**3/4 - q**2/4 + 5*q/2 - 2.
-(q - 2)*(q - 1)*(q + 4)/4
Determine w, given that -2*w**2/17 + 200*w/17 = 0.
0, 100
Factor 4*l**4/7 - 12*l**3/7 - 16*l**2/7 + 48*l/7.
4*l*(l - 3)*(l - 2)*(l + 2)/7
Factor -4*k**3 - 56*k**2 - 196*k - 144.
-4*(k + 1)*(k + 4)*(k + 9)
What is p in 9*p**4/7 - 10410*p**3/7 + 6936*p**2/7 = 0?
0, 2/3, 1156
Determine g so that -3*g**4 + 93*g**3 + 528*g**2 + 432*g = 0.
-4, -1, 0, 36
Factor 2*k**4 - 372*k**3 + 17666*k**2 - 34224*k + 16928.
2*(k - 92)**2*(k - 1)**2
Factor -r**5/7 + 2*r**3/7 - r/7.
-r*(r - 1)**2*(r + 1)**2/7
Suppose 22*l**2 + 573*l + 26 = 0. Calculate l.
-26, -1/22
Factor 147*g**4/4 + 777*g**3 + 6513*g**2/2 - 8991*g + 19683/4.
3*(g - 1)**2*(7*g + 81)**2/4
Solve 3750*s**4 - 20650*s**3 - 10876*s**2 - 1336*s - 48 = 0 for s.
-1/3, -2/25, 6
Factor 3*f**3 + 48*f**2.
3*f**2*(f + 16)
Let -5*v**4 - 35*v**3 - 85*v**2 - 85*v - 30 = 0. Calculate v.
-3, -2, -1
Find y, given that -4*y**5 - 36*y**4 + 92*y**3 + 36*y**2 - 88*y = 0.
-11, -1, 0, 1, 2
Suppose -m**3 + 22*m**2 + 119*m - 3468 = 0. Calculate m.
-12, 17
Let 8*b**5 - 268*b**4 + 1177*b**3/2 + 2115*b**2/2 - 2511*b = 0. What is b?
-2, 0, 9/4, 31
Determine o so that o**3/4 + 1713*o**2/2 + 978123*o + 372338822 = 0.
-1142
Factor -2*d**2/13 - 80*d/13 - 792/13.
-2*(d + 18)*(d + 22)/13
Suppose 3*f**4/5 - 83*f**3/5 - 301*f**2/5 - 277*f/5 - 62/5 = 0. What is f?
-2, -1, -1/3, 31
Factor -m**4/2 - 1019*m**3/2 - 9117*m**2/2 - 27297*m/2 - 13635.
-(m + 3)**3*(m + 1010)/2
Factor -12*l**2 - 352*l + 752.
-4*(l - 2)*(3*l + 94)
Factor -y**3 - 218*y**2 - 12096*y - 23328.
-(y + 2)*(y + 108)**2
Solve 4*x**2 + 660*x + 2576 = 0 for x.
-161, -4
Factor 2*m**2/9 + 212*m/9 + 400/3.
2*(m + 6)*(m + 100)/9
Solve -2*p**3 - 30*p**2 - 126*p - 98 = 0 for p.
-7, -1
Solve -2*z**4/9 - 4*z**3/3 = 0.
-6, 0
Suppose -k**3 + 605*k**2 - 2408*k + 2404 = 0. Calculate k.
2, 601
Find s such that 7*s**5/4 - 153*s**4/2 - 205*s**3/2 + 54*s**2 + 403*s/4 + 45/2 = 0.
-1, -2/7, 1, 45
Let -5*p**3 + 65*p**2 - 200*p + 180 = 0. Calculate p.
2, 9
Factor -3*u**3/4 - 72*u**2 - 2304*u - 24576.
-3*(u + 32)**3/4
What is p in 2*p**3/5 + 16*p**2 + 74*p/5 - 156/5 = 0?
-39, -2, 1
Solve -6*u**5/7 + 180*u**4/7 - 660*u**3/7 + 960*u**2/7 - 90*u + 156/7 = 0 for u.
1, 26
Factor -f**5 + 4*f**4 + 11*f**3 + 6*f**2.
-f**2*(f - 6)*(f + 1)**2
Let 726*h**2 - 1254*h + 1083/2 = 0. What is h?
19/22
What is y in -y**4 + 65*y**3 - 1364*y**2 + 9412*y - 8112 = 0?
1, 12, 26
Factor 15*d**3 - 9628*d**2/3 + 514777*d/3 + 22898/3.
(d - 107)**2*(45*d + 2)/3
Let -6*z**5 + 70*z**4 - 210*z**3 + 90*z**2 + 56*z = 0. Calculate z.
-1/3, 0, 1, 4, 7
Suppose -12*x**3 + 99*x**2 - 24*x = 0. Calculate x.
0, 1/4, 8
Factor 5*r**4 + 135*r**3 + 1090*r**2 + 2400*r + 1440.
5*(r + 1)*(r + 2)*(r + 12)**2
Factor -2*x**4 + 208*x**3 + 1296*x**2 + 2624*x + 1760.
-2*(x - 110)*(x + 2)**3
What is i in 2*i**5 - 3532*i**4 + 1559378*i**3 = 0?
0, 883
Let -2*g**5/9 - 208*g**4/9 - 3488*g**3/9 + 33280*g**2/3 - 51200*g = 0. What is g?
-60, 0, 8
Determine z so that -2*z**2/23 + 128*z/23 - 248/23 = 0.
2, 62
Let -4*o**3 + 4*o**2 + 148*o + 140 = 0. What is o?
-5, -1, 7
Suppose -5*f**3 - 245*f**2 - 1595*f + 37845 = 0. Calculate f.
-29, 9
Factor -3*w**2 - 27*w + 108.
-3*(w - 3)*(w + 12)
Let -f**2 + 15*f + 286 = 0. Calculate f.
-11, 26
What is i in i**4/7 - 4*i**3 - i**2/7 + 4*i = 0?
-1, 0, 1, 28
Find y, given that y**2/3 - 5*y = 0.
0, 15
What is u in -2*u**2 + 86*u - 884 = 0?
17, 26
Suppose 4*w**2/5 - 660*w - 3304/5 = 0. Calculate w.
-1, 826
Factor 2*q**2/5 - 84*q/5 + 32.
2*(q - 40)*(q - 2)/5
Find s such that -5*s**2 - 12945*s + 12950 = 0.
-2590, 1
Solve -4*p**4 + 20*p**3 + 104*p**2 - 768*p + 1152 = 0.
-6, 3, 4
Factor 4*b**3 + 180*b**2 + 2112*b + 1936.
4*(b + 1)*(b + 22)**2
Find w, given that 2*w**4/3 + 6*w**3 - 206*w**2/3 - 102*w + 420 = 0.
-15, -3, 2, 7
Factor 6*z**3/11 + 2*z**2/11 - 6*z/11 - 2/11.
2*(z - 1)*(z + 1)*(3*z + 1)/11
Solve 3*n**3 + 63*n**2 + 252*n + 192 = 0.
-16, -4, -1
Factor -t**5 - 12*t**4 - 47*t**3 - 52*t**2 + 48*t + 64.
-(t - 1)*(t + 1)*(t + 4)**3
Solve l**5 - 10*l**4 - 92*l**3 + 1512*l**2 - 6048*l + 6912 = 0 for l.
-12, 2, 6, 8
Factor -o**3/3 - 24*o**2 + 448*o - 5632/3.
-(o - 8)**2*(o + 88)/3
Suppose 25*t**3 + 1995*t**2 - 8800*t + 1680 = 0. Calculate t.
-84, 1/5, 4
Solve -2*b**2/9 + 142*b/9 - 260/3 = 0.
6, 65
Determine z, given that -z**3/2 - 103*z**2/2 + z/2 + 103/2 = 0.
-103, -1, 1
Factor 2*r**2/5 - 38*r/5 - 48.
2*(r - 24)*(r + 5)/5
Factor 5*y**2 - 63*y + 162.
(y - 9)*(5*y - 18)
Find o, given that 3*o**4/8 + 57*o**3/4 + 423*o**2/8 + 129*o/2 + 51/2 = 0.
-34, -2, -1
Factor 2*t**2 - 94*t - 96.
2*(t - 48)*(t + 1)
Factor 2*h**4/17 + 8*h**3/17 - 96*h**2/17 - 640*h/17 - 1024/17.
2*(h - 8)*(h + 4)**3/17
Find u such that -3*u**4 + 20*u**3 - 27*u**2 - 26*u + 24 = 0.
-1, 2/3, 3, 4
Factor -64*l**2 + 3920*l - 60025.
-(8*l - 245)**2
Factor -o**3/3 + 238*o**2/3 + o/3 - 238/3.
-(o - 238)*(o - 1)*(o + 1)/3
Let 2*u**3/11 - 36*u**2/11 + 34*u/11 = 0. What is u?
0, 1, 17
Determine k so that k**5 + k**4 - 4*k**3 - 4*k**2 = 0.
-2, -1, 0, 2
Factor 5*b**4 - 35*b**3 + 45*b**2 + 135*b - 270.
5*(b - 3)**3*(b + 2)
What is f in 2*f**4 + 38*f**3 + 100*f**2 + 64*f = 0?
-16, -2, -1, 0
Suppose h**3/5 - 198*h**2/5 + 9801*h/5 = 0. What is h?
0, 99
Factor 7*n**2 - 4*n.
n*(7*n - 4)
Factor -375*d**5/2 + 5925*d**4/2 + 3735*d**3 + 1518*d**2 + 204*d.
-3*d*(d - 17)*(5*d + 2)**3/2
Solve 4*i**4/5 - 44*i**3/5 - 68*i**2/5 + 252*i/5 - 144/5 = 0 for i.
-