*x**2/5 = 0. Calculate x.
0, 4, 8
Let 5*s**5 + 15*s**4 - 80*s**3 - 260*s**2 + 320 = 0. What is s?
-4, -2, 1, 4
Find z such that z**5/4 + 3*z**4 + 7*z**3 + 3*z**2/2 - 29*z/4 - 9/2 = 0.
-9, -2, -1, 1
Factor d**3/2 - 38*d**2 + 603*d/2.
d*(d - 67)*(d - 9)/2
Factor -q**3/4 - q**2/2 + 13*q/4 - 5/2.
-(q - 2)*(q - 1)*(q + 5)/4
Let 2*z**4/5 + 18*z**3/5 + 6*z**2 - 10*z = 0. What is z?
-5, 0, 1
Let -4*g**3 + 216*g**2 + 1204*g - 1416 = 0. What is g?
-6, 1, 59
Factor -4*w**2 - 4*w + 224.
-4*(w - 7)*(w + 8)
Solve -8*s**5/7 - 90*s**4/7 + 82*s**3/7 + 114*s**2/7 - 74*s/7 - 24/7 = 0.
-12, -1, -1/4, 1
Factor -o**5 - 14*o**4 - 25*o**3 - 12*o**2.
-o**2*(o + 1)**2*(o + 12)
Factor -o**3/4 + 9*o**2/4 - 3*o/2 - 4.
-(o - 8)*(o - 2)*(o + 1)/4
Factor -2*u**2 + 178*u + 180.
-2*(u - 90)*(u + 1)
Solve 2*u**2/5 - 464*u/5 = 0.
0, 232
Suppose -2*z**3/19 + 50*z**2/19 - 336*z/19 + 288/19 = 0. Calculate z.
1, 12
Find v, given that 2*v**4 - 40*v**3 + 266*v**2 - 732*v + 720 = 0.
3, 4, 10
Determine i, given that -7*i**3/11 + 52*i**2 + 1340*i/11 + 336/11 = 0.
-2, -2/7, 84
Factor 4*u**2 - 64*u + 220.
4*(u - 11)*(u - 5)
Factor -p**4 - 5*p**3 - 6*p**2.
-p**2*(p + 2)*(p + 3)
Factor -k**2/3 + 80*k/3 - 1600/3.
-(k - 40)**2/3
Factor -j**4/4 - j**3/2 + 3*j**2 + 10*j + 8.
-(j - 4)*(j + 2)**3/4
Find b such that 2*b**5/15 + 2*b**4/3 - 22*b**3/3 + 46*b**2/3 - 44*b/5 = 0.
-11, 0, 1, 2, 3
Factor -25*x**5 + 8410*x**4 - 944160*x**3 + 35499520*x**2 - 14049280*x.
-5*x*(x - 112)**3*(5*x - 2)
Find l such that 486*l**5 + 621*l**4 + 123*l**3 - 16*l**2 - 4*l = 0.
-1, -2/9, 0, 1/6
Determine v so that -6*v**2/5 + 2018*v/5 + 1348/5 = 0.
-2/3, 337
Solve 56*g**5/3 + 158*g**4 + 1078*g**3/3 + 436*g**2/3 - 168*g + 80/3 = 0 for g.
-5, -2, 1/4, 2/7
Factor z**3/3 - 271*z**2/3 - 545*z/3 - 91.
(z - 273)*(z + 1)**2/3
Solve -2*j**4/7 - 20*j**3/7 - 32*j**2/7 = 0 for j.
-8, -2, 0
Factor -3*d**2/2 + 189*d/2.
-3*d*(d - 63)/2
Suppose -r**2 - 2557*r - 2556 = 0. What is r?
-2556, -1
Factor t**4/2 + 29*t**3/2 + 195*t**2/2 - 225*t/2.
t*(t - 1)*(t + 15)**2/2
Find d such that 2819876*d**5/11 + 9679462*d**4/11 - 572804*d**3 + 395128*d**2/11 - 8656*d/11 + 64/11 = 0.
-4, 2/89, 1/2
Factor 3*x**3 + 975*x**2 - 978*x.
3*x*(x - 1)*(x + 326)
Suppose -h**5/2 - 150*h**4 - 18000*h**3 - 1080000*h**2 - 32400000*h - 388800000 = 0. What is h?
-60
Suppose 3*o**3 + 30*o**2 + 51*o - 84 = 0. What is o?
-7, -4, 1
Factor 2*k**2 + 24*k + 64.
2*(k + 4)*(k + 8)
Factor -5*m**2 + 25*m - 30.
-5*(m - 3)*(m - 2)
Factor z**5/4 + 8*z**4 + 143*z**3/2 + 120*z**2 + 225*z/4.
z*(z + 1)**2*(z + 15)**2/4
Determine w so that -2*w**2 + 12*w + 54 = 0.
-3, 9
Factor 3*q**3 + 6*q**2/5.
3*q**2*(5*q + 2)/5
Solve -3*o**2/5 + 3978*o/5 - 795 = 0.
1, 1325
Let -2*p**2/7 - 18*p/7 - 40/7 = 0. What is p?
-5, -4
Factor -156*n**4 + 7017*n**3 - 105165*n**2 + 524475*n + 10125.
-3*(n - 15)**3*(52*n + 1)
Determine j, given that -j**4 - 19*j**3 + 20*j**2 = 0.
-20, 0, 1
Solve 3*b**3 - 51*b**2 + 225*b - 297 = 0.
3, 11
Factor 4*u**2 + 32*u - 132.
4*(u - 3)*(u + 11)
Solve -5*o**5 - 480*o**4 - 16980*o**3 - 266000*o**2 - 1740480*o - 3951360 = 0.
-28, -6
What is q in -8*q**2 + 310*q - 1112 = 0?
4, 139/4
Suppose -2*o**2/5 + 124*o/5 - 122/5 = 0. What is o?
1, 61
What is h in 3*h**3 - 36*h**2 - 135*h = 0?
-3, 0, 15
Factor 3*w**5 + 15*w**4 + 18*w**3 - 6*w**2 - 21*w - 9.
3*(w - 1)*(w + 1)**3*(w + 3)
Factor -3*i**3 + 6*i**2 - 3*i.
-3*i*(i - 1)**2
Factor 4*k**2 - 32*k - 836.
4*(k - 19)*(k + 11)
Factor 4*p**3 + 142*p**2 - 1276*p + 602.
2*(p - 7)*(p + 43)*(2*p - 1)
Factor 4*z**3/3 + 2*z**2/3 - 12*z - 6.
2*(z - 3)*(z + 3)*(2*z + 1)/3
Let 2*u**3/3 - 8*u**2/3 - 14*u/3 + 20/3 = 0. Calculate u.
-2, 1, 5
Factor -2*t**3 - 156*t**2 - 3192*t - 5776.
-2*(t + 2)*(t + 38)**2
Factor t**2/2 + 4*t + 6.
(t + 2)*(t + 6)/2
Determine f so that f**3 + 10*f**2 + 16*f = 0.
-8, -2, 0
Find v such that 4*v**5 - 12*v**4 - 4*v**3 + 12*v**2 = 0.
-1, 0, 1, 3
Factor -3*i**4 + 75*i**3 + 246*i**2 + 168*i.
-3*i*(i - 28)*(i + 1)*(i + 2)
Solve 2*w**3/11 - 14*w**2 + 584*w/11 = 0.
0, 4, 73
Determine m so that 2*m**5/19 + 18*m**4/19 - 74*m**3/19 - 554*m**2/19 + 1248*m/19 - 640/19 = 0.
-8, 1, 5
What is j in 3*j**4/8 + 141*j**3/8 + 2133*j**2/8 + 10659*j/8 + 1083 = 0?
-19, -8, -1
Suppose -5*d**4/4 + 305*d**3/4 = 0. Calculate d.
0, 61
Determine u, given that 4*u**3 - 406*u**2 + 596*u + 400 = 0.
-1/2, 2, 100
Find s such that -2*s**5/9 - 10*s**4/9 + 2*s**3/3 + 26*s**2/9 - 20*s/9 = 0.
-5, -2, 0, 1
Factor 9*u**3/7 - 39*u**2/7 - 15*u - 57/7.
3*(u + 1)**2*(3*u - 19)/7
Find a, given that -a**3/3 - 21*a**2 - 494*a/3 - 144 = 0.
-54, -8, -1
Factor -3*l**2 + 2148*l - 384492.
-3*(l - 358)**2
Let -36*f**4 - 24*f**3 + 80*f**2 - 32*f = 0. What is f?
-2, 0, 2/3
Suppose b**5/8 + 4*b**4 + 337*b**3/8 + 667*b**2/4 + 559*b/2 + 169 = 0. What is b?
-13, -2
Solve -9*l**3 + 56*l**2 + 51*l - 14 = 0 for l.
-1, 2/9, 7
Factor i**3/4 - 19*i**2/4 + 35*i/4 - 17/4.
(i - 17)*(i - 1)**2/4
Suppose -2*p**4/21 - 6*p**3/7 - 2*p**2/3 + 6*p/7 + 16/21 = 0. Calculate p.
-8, -1, 1
Solve -4*m**3 + 4*m**2 + 100*m - 100 = 0 for m.
-5, 1, 5
Solve -5*x**2 + 2730*x - 372645 = 0 for x.
273
Find l, given that -2*l**4/3 - 4*l**3 + 8*l**2/3 + 16*l = 0.
-6, -2, 0, 2
Factor 10*v**2 - 84*v - 54.
2*(v - 9)*(5*v + 3)
Factor 2*u**4 + 236*u**3 + 234*u**2.
2*u**2*(u + 1)*(u + 117)
Determine z, given that z**5 + 5*z**4 + 2*z**3 - 8*z**2 = 0.
-4, -2, 0, 1
Find s, given that -2*s**3 - 14*s**2 + 68*s + 80 = 0.
-10, -1, 4
Factor 2*o**2/5 + 8*o/5 - 442/5.
2*(o - 13)*(o + 17)/5
Suppose 5*w**5/4 - 37*w**4/4 - 411*w**3/4 + 625*w**2/4 - 91*w/2 = 0. Calculate w.
-7, 0, 2/5, 1, 13
Factor 12*l**3 - 20*l**2 - 64*l + 48.
4*(l - 3)*(l + 2)*(3*l - 2)
Let 2*l**2/5 + 16224*l/5 + 32902272/5 = 0. What is l?
-4056
Factor 18*y**3/7 + 368*y**2/7 + 160*y/7.
2*y*(y + 20)*(9*y + 4)/7
Let -3*l**2 + 198*l - 384 = 0. What is l?
2, 64
Let -2*g**2 + 480*g - 28800 = 0. Calculate g.
120
Factor 3*k**3/2 - 51*k**2/2 + 96*k - 72.
3*(k - 12)*(k - 4)*(k - 1)/2
Factor 3*n**5/7 + 3*n**4 - 81*n**3/7 + 87*n**2/7 - 30*n/7.
3*n*(n - 1)**3*(n + 10)/7
Factor -2*k**3 + 70*k**2 - 806*k + 3042.
-2*(k - 13)**2*(k - 9)
Find f such that 2*f**4/5 - 14*f**3/5 - 38*f**2/5 + 14*f/5 + 36/5 = 0.
-2, -1, 1, 9
Let 5*i**5/4 - 33*i**4/4 - 79*i**3/4 + 369*i**2/4 + 289*i/2 + 42 = 0. Calculate i.
-3, -1, -2/5, 4, 7
Find k, given that -2*k**2/5 - 16*k = 0.
-40, 0
Solve -324*d**4 + 969*d**3 + 9*d**2 = 0.
-1/108, 0, 3
Factor q**5/2 - 5*q**4 - 11*q**3/2.
q**3*(q - 11)*(q + 1)/2
Factor -3*x**3/2 - 9*x**2/2 + 27*x/2 + 81/2.
-3*(x - 3)*(x + 3)**2/2
Let 3*h**2/4 + 375*h/4 - 1179/2 = 0. Calculate h.
-131, 6
Let -2*i**2/7 + 594*i/7 + 596/7 = 0. What is i?
-1, 298
Solve -5*q**3 + 23475*q**2 - 27565515*q + 27542045 = 0.
1, 2347
Find d such that d**2/2 + 49*d/2 + 69 = 0.
-46, -3
Find v such that -2*v**2/3 - 1288*v/3 - 207368/3 = 0.
-322
Factor -21*m**4/5 - m**3/5 + 2*m**2/5.
-m**2*(3*m + 1)*(7*m - 2)/5
Factor 2*n**3/15 - 20*n**2/3 + 1144*n/15 + 2704/15.
2*(n - 26)**2*(n + 2)/15
Let -4*q**5/9 - 34*q**4/9 - 22*q**3/3 - 34*q**2/9 + 14*q/9 + 4/3 = 0. What is q?
-6, -1, 1/2
Determine b, given that -28*b**2 + 1252*b - 880 = 0.
5/7, 44
Solve -3*b**3 - 261*b**2 - 486*b + 2040 = 0 for b.
-85, -4, 2
Factor 3*n**3 + 162*n**2 + 2835*n + 15876.
3*(n + 12)*(n + 21)**2
Factor f**5 - f**4 - 6*f**3 - 2*f**2 + 5*f + 3.
(f - 3)*(f - 1)*(f + 1)**3
Let -2*i**3/13 + 54*i**2/13 + 1458*i/13 + 7290/13 = 0. What is i?
-9, 45
Let 56*r**4 + 78*r**3 - 88*r**2 - 42*r - 4 = 0. Calculate r.
-2, -1/4, -1/7, 1
Determine z, given that -2*z**2/7 - 2*z - 20/7 = 0.
-5, -2
Factor 3*v**2 - 12*v.
3*v*(v - 4)
Factor -5*t**2 - 15*t.
-5*t*(t + 3)
Determine a so that a**5/9 - a**4/3 - 13*a**3/9 + 47*a**2/9 - 16*a/3 + 16/9 = 0.
-4, 1, 4
Factor 4*p**2 + 92*p - 1320.
4*(p - 10)*(p + 33)
Suppose 2*m**2 - 5972*m = 0. What is m?
0, 2986
Factor -4*z**3/5 + 1924*z**2/5 - 3836*z/5 + 1916/5.
-4*(z - 479)*(z - 1)**2/5
Solve i**3/4 + 7*i**2/4 - 7*i + 5 = 0.
-10, 1, 2
What is p in -5*p**2 + 15*p + 50 = 0?
-2, 5
Solve -3*d**2 - 156*d - 153 = 0.
-51, -1
Suppose 2*f**3/9 - 40*f**2/3 - 82*f/3 - 124/9 = 0. Calculate f.
-1, 62
Factor -4*o**2 + 1168*o - 85264.
-4*(o - 146)**2
Factor -9*l**4 - 12927*l**3 - 4308*l**2.
-3*l**2*(l + 1436)*(3*l + 1)
Factor -2*n**3/7 - 1310*n**2/7 - 213856*n/7 + 215168/7.
-2*(n - 1)*(n + 328)**2/7
Determine q, given th