
Solve -5*i**5 + 40*i**4 - 120*i**3 + 170*i**2 - 115*i + 30 = 0 for i.
1, 2, 3
Factor 4*d**4 - 12*d**3 - 240*d**2 - 400*d.
4*d*(d - 10)*(d + 2)*(d + 5)
Factor -2*x**2 - 342*x + 7220.
-2*(x - 19)*(x + 190)
Let -4*c**3 - 8532*c**2 - 59552*c - 51024 = 0. What is c?
-2126, -6, -1
Factor 2*g**4 - 458*g**3 + 26894*g**2 - 76614*g.
2*g*(g - 113)**2*(g - 3)
Find n such that 24*n**5 + 412*n**4 - 5476*n**3 - 20052*n**2 - 16388*n - 2200 = 0.
-25, -2, -1, -1/6, 11
Factor -12*w**2 - 3740*w - 2488.
-4*(w + 311)*(3*w + 2)
Let 3*c**3 - 23949*c**2 + 95760*c - 95748 = 0. Calculate c.
2, 7979
Factor -q**3/2 - 12*q**2 + 81*q/2 + 972.
-(q - 9)*(q + 9)*(q + 24)/2
Solve -275*g**3 + 39045*g**2 - 1385565*g - 25205 = 0 for g.
-1/55, 71
Factor 4*o**4 + 256*o**3 + 4472*o**2 + 21632*o - 26364.
4*(o - 1)*(o + 13)**2*(o + 39)
Find z, given that -2*z**3 + 4490*z**2 + 13488*z = 0.
-3, 0, 2248
Factor -3*o**3/4 + 285*o**2/4 - 3207*o/2 - 3498.
-3*(o - 53)*(o - 44)*(o + 2)/4
Determine c, given that -95*c**2 + 1735*c - 7490 = 0.
7, 214/19
Determine t, given that -3*t**2 + 39105*t + 352188 = 0.
-9, 13044
Factor 2*k**5 + 60*k**4 + 250*k**3.
2*k**3*(k + 5)*(k + 25)
Suppose 10*s**4 - 18275*s**3/2 + 6785*s**2 + 114095*s/2 + 13695 = 0. What is s?
-2, -1/4, 3, 913
Find f such that 3*f**3 + 738*f**2 - 71253*f + 1478412 = 0.
-324, 39
Suppose -l**4 - 21328*l**3 - 113763544*l**2 - 454798272*l - 454712976 = 0. Calculate l.
-10662, -2
Let -2*v**4/15 + 68*v**3/5 - 4378*v**2/15 - 9528*v/5 + 2184 = 0. What is v?
-6, 1, 42, 65
Factor -3*y**2/8 + 1467*y/2 - 87345/8.
-3*(y - 1941)*(y - 15)/8
Factor r**5 + 102950*r**4 + 3532763560*r**3 + 40403038515760*r**2 - 161654550520240*r + 161668683221728.
(r - 2)**2*(r + 34318)**3
Factor -g**2 + 36859*g - 294808.
-(g - 36851)*(g - 8)
Factor x**2/12 + 3707*x/12 - 7430/3.
(x - 8)*(x + 3715)/12
What is s in 4*s**4 - 284*s**3 - 4560*s**2 + 40896*s + 573696 = 0?
-12, 12, 83
Determine m so that 2*m**5 + 4*m**4 - 24326*m**3 - 1113352*m**2 - 4161528*m - 4064256 = 0.
-63, -2, 128
Determine r, given that -4*r**3 + 3640*r**2 + 40484*r + 36840 = 0.
-10, -1, 921
Determine q, given that q**2 + 192*q + 3591 = 0.
-171, -21
What is w in w**2/6 - 1339*w/2 - 14084/3 = 0?
-7, 4024
Let 2*n**4 - 226*n**3 - 692*n**2 - 464*n = 0. What is n?
-2, -1, 0, 116
Factor 4*i**3 - 932*i**2 + 10752*i - 31824.
4*(i - 221)*(i - 6)**2
Factor -y**5 + 1854*y**4 - 12947*y**3 + 33266*y**2 - 36948*y + 14776.
-(y - 1847)*(y - 2)**3*(y - 1)
Factor -2*i**4 + 6860*i**3 - 6071394*i**2 + 324038960*i - 4462479392.
-2*(i - 1687)**2*(i - 28)**2
Find z, given that 2*z**4 - 42402*z**3 + 423844*z**2 - 508440*z - 3051504 = 0.
-2, 6, 21191
Let -5*g**4 + 235*g**3 + 1290*g**2 + 560*g - 2080 = 0. Calculate g.
-4, -2, 1, 52
Solve -3*n**5 - 1923*n**4/4 - 25836*n**3 - 484509*n**2 - 976608*n - 214272 = 0.
-62, -48, -2, -1/4
Suppose 3*m**5/5 - 438*m**4/5 + 1707*m**3/5 - 408*m**2/5 - 2556*m/5 = 0. What is m?
-1, 0, 2, 3, 142
Factor -2*f**2 + 1329852*f - 221063292738.
-2*(f - 332463)**2
What is w in -4*w**5 + 4*w**4 + 184*w**3 - 736*w**2 + 768*w = 0?
-8, 0, 2, 3, 4
Suppose -25*s**5 + 15895*s**4 + 115721*s**3 + 12325*s**2 - 69472*s + 18004 = 0. What is s?
-7, -1, 2/5, 643
Factor -2*f**3/3 - 18688*f**2 - 74744*f - 224224/3.
-2*(f + 2)**2*(f + 28028)/3
Let u**5/4 + 139*u**4/2 + 549*u**3/4 - 209*u**2 - 553*u - 276 = 0. What is u?
-276, -2, -1, 2
Factor -f**4/5 - 5779*f**3/5 - 6930*f**2 - 69284*f/5 - 46184/5.
-(f + 2)**3*(f + 5773)/5
Factor 3*h**2/8 - 2073*h/4 - 2079.
3*(h - 1386)*(h + 4)/8
Factor -4*i**3 + 24480*i**2 + 147024*i.
-4*i*(i - 6126)*(i + 6)
Suppose -2809*v**2/11 + 71020*v/11 - 448900/11 = 0. Calculate v.
670/53
Factor -2*c**3/11 + 7936*c**2/11 - 7864570*c/11 - 15760900/11.
-2*(c - 1985)**2*(c + 2)/11
Let -39*q**5 + 189*q**4 + 3618*q**3 + 6636*q**2 + 936*q = 0. Calculate q.
-6, -2, -2/13, 0, 13
Solve -4*l**5 + 460*l**4 - 3912*l**3 + 10256*l**2 - 8480*l = 0 for l.
0, 2, 5, 106
Suppose 4*f**3 + 11832*f**2 + 1663524*f + 59940592 = 0. Calculate f.
-2812, -73
Factor 3*a**3/7 - 345*a**2/7 + 1503*a - 13797.
3*(a - 73)*(a - 21)**2/7
Factor -x**4 - 1989*x**3.
-x**3*(x + 1989)
Factor -m**4/6 - 77*m**3/6 + 208*m**2/3 + 82*m.
-m*(m - 6)*(m + 1)*(m + 82)/6
Factor -o**3 + 10*o**2 + 69*o + 90.
-(o - 15)*(o + 2)*(o + 3)
Find h such that -364*h**4/5 + 836*h**3/5 + 2272*h**2/5 + 176*h - 192/5 = 0.
-1, -6/7, 2/13, 4
Factor c**2/5 - 274*c/5 + 544/5.
(c - 272)*(c - 2)/5
Factor q**2/2 + 10557*q/2 + 5278.
(q + 1)*(q + 10556)/2
Suppose a**4 + 953*a**3 - 3823*a**2 + 4783*a - 1914 = 0. Calculate a.
-957, 1, 2
Factor -3348*l**2 - 6692*l + 8.
-4*(l + 2)*(837*l - 1)
What is z in 3*z**2 - 399*z + 5310 = 0?
15, 118
Factor -o**2/2 - 3520*o - 7039/2.
-(o + 1)*(o + 7039)/2
Find b such that -4*b**3 - 1588*b**2 + 4800*b = 0.
-400, 0, 3
Determine x so that 3332*x**4 - 139972*x**3 - 184452*x**2 - 44092*x - 2944 = 0.
-1, -1/7, 736/17
Factor -l**2/4 + 12559*l/2 - 157728481/4.
-(l - 12559)**2/4
Determine d so that 15*d**5 + 669*d**4 + 7305*d**3 - 3705*d**2 - 7320*d + 3036 = 0.
-23, -22, -1, 2/5, 1
Let -5*q**3 + 6855*q**2 + 13730*q = 0. What is q?
-2, 0, 1373
Suppose -26*a**2 - 860812*a - 132432 = 0. What is a?
-33108, -2/13
What is i in 2*i**2/5 - 17516*i/5 - 315936/5 = 0?
-18, 8776
Factor 3*u**2 - 4289622*u + 1533404741907.
3*(u - 714937)**2
Find z, given that 3*z**4 - 2712*z**3 + 138015*z**2 - 267906*z + 132600 = 0.
1, 52, 850
Suppose 3*n**4 - 24*n**3 + 54*n**2 - 48*n + 15 = 0. What is n?
1, 5
Factor g**2 - 34590*g + 299117025.
(g - 17295)**2
Solve p**4/4 - 60689*p**3/2 + 3683154721*p**2/4 = 0 for p.
0, 60689
Factor 2*z**3 + 752*z**2 - 4162*z - 134112.
2*(z - 16)*(z + 11)*(z + 381)
Factor -2*d**3 - 24004*d**2 - 71975970*d + 288288072.
-2*(d - 4)*(d + 6003)**2
Solve 2*p**5/7 + 46*p**4 - 654*p**3/7 - 46*p**2 + 652*p/7 = 0 for p.
-163, -1, 0, 1, 2
Factor -4*p**4 + 180*p**3 - 464*p**2 - 1680*p.
-4*p*(p - 42)*(p - 5)*(p + 2)
What is u in u**2/4 + 9272*u + 18543 = 0?
-37086, -2
Let -44*d**5 + 2192*d**4 - 128*d**3 - 193344*d**2 + 725184*d + 138240 = 0. Calculate d.
-10, -2/11, 6, 48
Factor 118*n**3 + 1172*n**2/5 + 574*n/5 - 8/5.
2*(n + 1)**2*(295*n - 4)/5
Factor 3*r**2/8 + 215547*r/4 - 107775.
3*(r - 2)*(r + 143700)/8
Let 5*i**4 - 525*i**3 + 4035*i**2 + 27685*i - 31200 = 0. What is i?
-5, 1, 13, 96
Solve 3*j**3 + 2607*j**2 + 5193*j - 7803 = 0 for j.
-867, -3, 1
Factor -3*n**2 + 375573*n - 751134.
-3*(n - 125189)*(n - 2)
Determine h, given that -h**2/11 + 3571*h/11 = 0.
0, 3571
What is w in 15*w**4 + 24*w**3 - 189*w**2 - 510*w - 312 = 0?
-13/5, -2, -1, 4
Solve 14*q**3 + 11106*q**2 - 86540*q - 25632 = 0 for q.
-801, -2/7, 8
Determine s so that 2*s**2/15 + 886*s/15 - 296/5 = 0.
-444, 1
Factor 3*u**2 + 4119*u.
3*u*(u + 1373)
Determine d, given that d**3/6 + 251*d**2/6 + 9752*d/3 + 73034 = 0.
-106, -39
What is n in 2*n**3/11 + 6146*n**2/11 - 18456*n/11 = 0?
-3076, 0, 3
Solve 5*y**4/2 + 53*y**3/2 + 84*y**2 + 62*y - 40 = 0 for y.
-5, -4, -2, 2/5
Factor r**3 + 48*r**2 - 819*r + 3038.
(r - 7)**2*(r + 62)
Find d, given that -4*d**2 + 5520*d + 5524 = 0.
-1, 1381
Factor -i**2/3 + 1492*i/3 - 497.
-(i - 1491)*(i - 1)/3
Determine r, given that r**3/3 + 283*r**2/3 - 1144*r/3 + 1148/3 = 0.
-287, 2
Determine a, given that -4*a**4/9 + 256*a**3/9 - 4052*a**2/9 + 7640*a/9 + 11200/3 = 0.
-2, 5, 21, 40
Suppose -72*a**4/7 - 3274*a**3/7 + 254*a**2 + 1384*a/7 + 184/7 = 0. Calculate a.
-46, -1/4, -2/9, 1
Determine i so that -24*i**2 + 86013*i + 10752 = 0.
-1/8, 3584
Determine m so that -2*m**3/3 - 5354*m**2/3 - 3580486*m/3 + 3585842/3 = 0.
-1339, 1
Let -9261*h**5/8 + 101185*h**4/4 + 37737*h**3/8 - 81551*h**2/4 - 8424*h - 44 = 0. Calculate h.
-4/7, -1/189, 1, 22
Find o such that -3*o**3/5 + 496*o**2/5 - 19567*o/5 - 13266/5 = 0.
-2/3, 67, 99
Find n, given that -2*n**5/11 + 3110*n**4/11 - 1216764*n**3/11 + 547996*n**2 - 8418050*n/11 + 3603750/11 = 0.
1, 3, 775
Factor 2*s**2 - 296*s - 2826.
2*(s - 157)*(s + 9)
Determine i so that 2*i**3/3 + 2672*i**2/3 + 208162*i/3 + 205492/3 = 0.
-1253, -82, -1
Solve -2*w**5 + 24566*w**4/5 - 63812*w**3/5 + 19624*w**2/5 + 19632*w/5 = 0.
-2/5, 0, 1, 2, 2454
Suppose -4*d**2 + 5248*d + 375360 = 0. What is d?
-68, 1380
Factor -2*w**2/5 - 17394*w/5 + 17396/5.
-2*(w - 1)*(w + 8698)/5
Factor -3*i**3/5 + 972*i**2/5 + 1185*i + 990.
-3*(i - 330)*(i + 1)*(i + 5)/5
Fac