 2
Determine w, given that 28*w**5/9 - 2038*w**4/9 - 2528*w**3/9 + 874*w**2/9 + 1040*w/9 - 296/9 = 0.
-1, 2/7, 1/2, 74
Factor 2*o**3/11 - 16704*o**2/11 + 46503936*o/11 - 43155652608/11.
2*(o - 2784)**3/11
What is x in 400*x**4 + 3960*x**3 - 455*x**2 - 540*x + 100 = 0?
-10, -2/5, 1/4
Factor -4*p**3 + 876*p**2 - 47520*p - 48400.
-4*(p - 110)**2*(p + 1)
Find x, given that -5*x**5 + 40*x**4 + 260*x**3 - 610*x**2 - 4335*x - 4950 = 0.
-3, -2, 5, 11
Let -605*j**4 - 990*j**3 - 185*j**2 + 180*j - 20 = 0. Calculate j.
-1, 2/11
Factor -2*l**4 + 80*l**3 + 86*l**2 - 164*l.
-2*l*(l - 41)*(l - 1)*(l + 2)
Factor u**4/3 + 26*u**3 + 868*u**2/3 + 502*u + 715/3.
(u + 1)**2*(u + 11)*(u + 65)/3
Factor 4*r**4/5 - 12*r**3/5 - 72*r**2/5 - 16*r/5 + 96/5.
4*(r - 6)*(r - 1)*(r + 2)**2/5
What is p in -p**4/5 - 8*p**3/5 - 3*p**2 + 4*p/5 + 4 = 0?
-5, -2, 1
Factor 3*f**5 + 171*f**4 + 648*f**3 + 636*f**2.
3*f**2*(f + 2)**2*(f + 53)
Factor t**5 + 15*t**4 + 62*t**3 + 34*t**2 - 63*t - 49.
(t - 1)*(t + 1)**2*(t + 7)**2
Determine o, given that -4*o**2 + 2192*o + 2196 = 0.
-1, 549
Factor 3*x**2/7 + 129*x/7 - 270/7.
3*(x - 2)*(x + 45)/7
Factor n**2/3 + 14*n - 96.
(n - 6)*(n + 48)/3
Factor -5*h**3 - 55*h**2 - 30*h + 720.
-5*(h - 3)*(h + 6)*(h + 8)
Factor 4*y**3 + 1188*y**2 + 117612*y + 3881196.
4*(y + 99)**3
Solve 3*x**2 + 96*x - 819 = 0 for x.
-39, 7
Determine r, given that -4*r**4 - 68*r**3 - 176*r**2 - 112*r = 0.
-14, -2, -1, 0
Factor h**3 + 14*h**2/3 - 3*h - 20/3.
(h + 1)*(h + 5)*(3*h - 4)/3
Factor n**4/3 - 3*n**3 + 7*n**2/3 + 3*n - 8/3.
(n - 8)*(n - 1)**2*(n + 1)/3
Factor -3*y**3/2 - 4725*y**2/2 - 1853361*y/2 + 5602689/2.
-3*(y - 3)*(y + 789)**2/2
Factor -3*n**2 - 15*n.
-3*n*(n + 5)
Factor 5*f**4 - 10*f**3 - 65*f**2 - 50*f.
5*f*(f - 5)*(f + 1)*(f + 2)
Factor -2*b**2 - 12292*b - 18886658.
-2*(b + 3073)**2
Suppose -l**3 - 63*l**2 + l + 63 = 0. What is l?
-63, -1, 1
Factor -5*m**3 - 1345*m**2 - 89775*m + 91125.
-5*(m - 1)*(m + 135)**2
Solve -80*o**4 + 4360*o**3 + 2235*o**2 - 1930*o + 275 = 0.
-1, 1/4, 55
Factor -2*s**2/9 - 4*s/9 + 32/3.
-2*(s - 6)*(s + 8)/9
Factor 2*w**2/7 + 26*w/7.
2*w*(w + 13)/7
Suppose -r**5/4 + 3*r**4/2 + 6*r**3 + 13*r**2/2 + 9*r/4 = 0. What is r?
-1, 0, 9
Factor -i**5 + 21*i**4 - 156*i**3 + 496*i**2 - 576*i.
-i*(i - 9)*(i - 4)**3
Determine p so that 3*p**4 + 762*p**3 + 756*p**2 - 762*p - 759 = 0.
-253, -1, 1
Factor -x**4/11 + 13*x**3/11 - 57*x**2/11 + 95*x/11 - 50/11.
-(x - 5)**2*(x - 2)*(x - 1)/11
Factor -w**4 + 6*w**3 - 9*w**2 + 4*w.
-w*(w - 4)*(w - 1)**2
Find k such that -2*k**3/15 - 32*k**2/15 - 56*k/15 = 0.
-14, -2, 0
Find d, given that d**3/2 + 549*d**2/2 + 37812*d + 37538 = 0.
-274, -1
Let 3*i**3 - 11*i**2/4 - 25*i/4 - 1/2 = 0. Calculate i.
-1, -1/12, 2
Find c, given that 5*c**4 + 5*c**3 - 30*c**2 = 0.
-3, 0, 2
Factor 3*b**5/5 + 6*b**4 + 117*b**3/5 + 222*b**2/5 + 204*b/5 + 72/5.
3*(b + 1)*(b + 2)**3*(b + 3)/5
Determine f, given that -f**4/3 + 4*f**3 + 59*f**2/3 + 26*f + 32/3 = 0.
-2, -1, 16
Solve 2*z**3/19 + 6*z**2/19 - 8/19 = 0 for z.
-2, 1
Solve 2*r**2 + 1636*r + 334562 = 0.
-409
Let j**5 + 108*j**4 + 1206*j**3 + 5292*j**2 + 10449*j + 7776 = 0. Calculate j.
-96, -3
Factor -3*b**4/7 - 102*b**3/7 - 1227*b**2/7 - 6120*b/7 - 10800/7.
-3*(b + 5)**2*(b + 12)**2/7
Determine z so that 8*z**3/15 + 2*z**2 + 34*z/15 + 4/5 = 0.
-2, -1, -3/4
Factor -2*u**2/5 + 24*u/5.
-2*u*(u - 12)/5
Determine c so that c**2 + 17*c + 16 = 0.
-16, -1
Find m, given that 2*m**5/3 + 70*m**4/3 + 214*m**3 + 442*m**2/3 - 1156*m/3 = 0.
-17, -2, 0, 1
Factor z**2/3 + 10*z - 72.
(z - 6)*(z + 36)/3
Let -1955*c**2 - 15*c = 0. Calculate c.
-3/391, 0
Determine m, given that -2*m**2/9 + 310*m/9 - 308/9 = 0.
1, 154
Factor -4*g**3/5 + 4*g**2 + 72*g/5 - 288/5.
-4*(g - 6)*(g - 3)*(g + 4)/5
Find a, given that 21*a**3 - 90*a**2 + 87*a - 18 = 0.
2/7, 1, 3
Determine f so that 2*f**4/5 - 146*f**3/5 - 2*f**2/5 + 146*f/5 = 0.
-1, 0, 1, 73
Find h such that 2652*h**3/5 + 614*h**2 + 414*h/5 - 4/5 = 0.
-1, -1/6, 2/221
Let y**2/5 - 4488*y/5 + 4487/5 = 0. Calculate y.
1, 4487
Factor -3*w**3/2 - 43*w**2/2 - 43*w - 12.
-(w + 2)*(w + 12)*(3*w + 1)/2
Factor 75*z**2 - 10*z - 5.
5*(3*z - 1)*(5*z + 1)
Factor m**2/2 + 5*m/2 - 3.
(m - 1)*(m + 6)/2
Find u such that -3*u**4/7 - 48*u**3/7 + 69*u**2/7 + 306*u/7 = 0.
-17, -2, 0, 3
Factor 7*n**3/6 + 11*n**2/3 - n/2 - 3.
(n + 1)*(n + 3)*(7*n - 6)/6
Let 2*u**5/13 + 2*u**4/13 - 72*u**3/13 - 128*u**2/13 + 256*u/13 + 480/13 = 0. Calculate u.
-5, -2, 2, 6
Factor -d**2/3 - 221*d/3 - 146.
-(d + 2)*(d + 219)/3
Factor 356*b**2/3 - 358*b/3 + 2/3.
2*(b - 1)*(178*b - 1)/3
Suppose 2*u**4/15 + 56*u**3/15 + 92*u**2/3 + 952*u/15 - 98 = 0. What is u?
-15, -7, 1
Let j**4/4 - 2*j**3 - 21*j**2/2 + 18*j + 297/4 = 0. What is j?
-3, 3, 11
Factor -x**2/6 - 2627*x/6 + 438.
-(x - 1)*(x + 2628)/6
What is m in -5*m**2 + 30*m + 200 = 0?
-4, 10
Determine p so that -2*p**4/7 - 111*p**3/7 + 289*p**2/7 - 60*p/7 - 116/7 = 0.
-58, -1/2, 1, 2
Factor -2*z**4 - 10*z**3 + 44*z**2 - 32*z.
-2*z*(z - 2)*(z - 1)*(z + 8)
Factor 6*s**4 - 27*s**3 - 567*s**2 - 2025*s - 2187.
3*(s + 3)**3*(2*s - 27)
Factor -r**2/5 - 108*r/5 + 369.
-(r - 15)*(r + 123)/5
Factor l**2 - 348*l + 347.
(l - 347)*(l - 1)
Factor 17*g**2/2 - 19*g/2 + 1.
(g - 1)*(17*g - 2)/2
Find o, given that 2*o**3/7 - 12*o**2/7 - 18*o/7 + 4 = 0.
-2, 1, 7
Suppose 10*z**5/9 + 46*z**4/3 - 28*z**3/9 = 0. What is z?
-14, 0, 1/5
Determine y, given that 10*y**3 + 776*y**2/3 + 4966*y/3 - 676/3 = 0.
-13, 2/15
Factor 5*t**2 + 290*t + 4205.
5*(t + 29)**2
Factor -k**5/2 + 2653*k**4/2 - 881789*k**3 + 2637413*k**2 - 5269525*k/2 + 1755625/2.
-(k - 1325)**2*(k - 1)**3/2
Let 45*z**5 + 235*z**4 + 365*z**3 + 205*z**2 + 30*z = 0. What is z?
-3, -1, -2/9, 0
Solve 8*r**3 - 2*r**2 = 0 for r.
0, 1/4
Determine m, given that 3*m**4 - 93*m**3 + 552*m**2 - 1188*m + 864 = 0.
2, 3, 24
Suppose 4*o**2 - 2104*o + 4192 = 0. What is o?
2, 524
Solve -2*r**4 - 58*r**3 - 102*r**2 + 162*r = 0.
-27, -3, 0, 1
Factor -4*g**3 - 148*g**2 - 544*g - 528.
-4*(g + 2)**2*(g + 33)
Factor 2*x**4/3 + 2*x**3 + 4*x**2/3.
2*x**2*(x + 1)*(x + 2)/3
Factor -2*u**2/15 - 84*u/5 - 2646/5.
-2*(u + 63)**2/15
Suppose -z**2 + 410*z + 824 = 0. What is z?
-2, 412
Solve 3*i**3 + 3*i**2 - 7743*i + 148857 = 0 for i.
-59, 29
Find o such that 5*o**4 - 180*o**3 + 345*o**2 - 170*o = 0.
0, 1, 34
Solve -a**4/3 + 61*a**3/3 + 331*a**2/3 - 61*a/3 - 110 = 0 for a.
-5, -1, 1, 66
Let 2*t**4/7 - 58*t**3/7 + 578*t**2/7 - 306*t + 1620/7 = 0. What is t?
1, 9, 10
Solve 3*p**2/7 - 804*p/7 + 3168/7 = 0.
4, 264
Solve -6*p**5 - 132*p**4/5 + 912*p**3/5 + 384*p**2/5 = 0 for p.
-8, -2/5, 0, 4
Determine h so that -h**3/3 + 20*h**2/3 - 39*h + 54 = 0.
2, 9
Solve -2*a**3 - 343*a**2/3 - 19*a = 0.
-57, -1/6, 0
What is j in -j**4/3 + 28*j**3 - 82*j**2/3 - 28*j + 83/3 = 0?
-1, 1, 83
Suppose -2*n**4/9 - 2830*n**3/9 - 333232*n**2/3 + 111392*n = 0. What is n?
-708, 0, 1
Suppose -i**4 + 271*i**3 - 17670*i**2 - 93564*i - 114264 = 0. Calculate i.
-3, -2, 138
Solve -4*k**4 + 8*k**3 + 172*k**2 - 512*k + 336 = 0.
-7, 1, 2, 6
Factor 6*a**2/7 + 586*a/7 - 28.
2*(a + 98)*(3*a - 1)/7
Factor -2*b**5/5 - 4*b**4 + 46*b**3/5 - 24*b**2/5.
-2*b**2*(b - 1)**2*(b + 12)/5
Find w, given that w**2/3 - 58*w/3 - 680/3 = 0.
-10, 68
Factor 75*a**4/2 + 755*a**3 + 24541*a**2/6 + 8758*a/3 + 1682/3.
(3*a + 29)**2*(5*a + 2)**2/6
Factor 2*u**3 - 86*u**2.
2*u**2*(u - 43)
Factor -2*m**2/11 + 28*m/11 + 30/11.
-2*(m - 15)*(m + 1)/11
Let -2*a**4 + 146*a**3 - 3978*a**2 + 47974*a - 216172 = 0. Calculate a.
17, 22
Factor 5*i**4 + 35*i**3 - 150*i**2 - 1260*i - 1080.
5*(i - 6)*(i + 1)*(i + 6)**2
What is n in 2*n**5 - 1322*n**4 + 290388*n**3 - 20997652*n**2 - 44054582*n + 64763166 = 0?
-3, 1, 221
Factor -3*c**4 + 48*c**2.
-3*c**2*(c - 4)*(c + 4)
Factor -2*p**3/19 + 10*p**2/19 - 16*p/19 + 8/19.
-2*(p - 2)**2*(p - 1)/19
Suppose -4*y**3/5 - 188*y**2 + 5784*y/5 = 0. What is y?
-241, 0, 6
Let d**4 - 140*d**3 + 5184*d**2 - 74752*d + 376832 = 0. What is d?
16, 92
Suppose 2*m**5/15 - 14*m**4/3 + 224*m**3/15 + 248*m**2/5 = 0. What is m?
-2, 0, 6, 31
What is w in -w**5/7 - 9*w**4/7 - 24*w**3/7 - 20*w**2/7 = 0?
-5, -2, 0
Suppose -4*v**2/5 + 808*v/5 - 40804/5 = 0. Calculate v.
101
Suppose -o**3 + 294*o**2 + 297*o - 590 = 0. Calculate o.
-2, 1, 295
Suppose -2*s**5 + 208*s**4 - 810*s**3 + 1004*s**2 - 400*s = 0. Calculate