 - 6*d**3 + 198*d**2 + 3*d - 99 = 0.
-1, 1, 33
Determine l so that 3*l**5/8 - 1395*l**4/8 + 162861*l**3/8 - 160077*l**2/8 - 20358*l + 20184 = 0.
-1, 1, 232
Factor z**2/2 - 40*z - 81/2.
(z - 81)*(z + 1)/2
Determine z so that z**3/4 + 3*z**2/2 - 7*z/4 = 0.
-7, 0, 1
Let 24*z**5/7 + 18*z**4 - 1122*z**3/7 - 2976*z**2/7 + 14688*z/7 + 3840/7 = 0. What is z?
-8, -5, -1/4, 4
Solve -2*v**4 + 58*v**3 - 56*v**2 = 0 for v.
0, 1, 28
Find d, given that -4*d**5 + 64*d**4 + 224*d**3 + 88*d**2 - 220*d - 152 = 0.
-2, -1, 1, 19
Factor k**3 - 3*k + 2.
(k - 1)**2*(k + 2)
Let 5*a**2 + 160*a = 0. What is a?
-32, 0
Determine u so that u**4 + 9*u**3 + u**2 - 81*u + 70 = 0.
-7, -5, 1, 2
Solve -4*o**2 - 1800*o + 1804 = 0.
-451, 1
Solve -j**2 + 600*j - 90000 = 0.
300
Find b such that b**2/2 + 3*b - 27/2 = 0.
-9, 3
Factor 2*y**2/5 - 58*y/5 + 156/5.
2*(y - 26)*(y - 3)/5
Factor -4*u**4 + 6*u**3 + 78*u**2 - 40*u.
-2*u*(u - 5)*(u + 4)*(2*u - 1)
What is u in -80*u**5 - 200*u**4 + 235*u**3 + 790*u**2 + 340*u + 40 = 0?
-2, -1/4, 2
Factor -n**5 + n**4 + 6*n**3.
-n**3*(n - 3)*(n + 2)
Determine g so that 5*g**5 + 370*g**4 + 5790*g**3 + 19960*g**2 - 58795*g + 32670 = 0.
-54, -11, 1
Factor 5*n**3/6 - 145*n**2/2 + 285*n/2 - 425/6.
5*(n - 85)*(n - 1)**2/6
Factor -b**2/2 - 11*b + 23/2.
-(b - 1)*(b + 23)/2
Factor -m**5 + 45*m**4 - 117*m**3 - 373*m**2 - 210*m.
-m*(m - 42)*(m - 5)*(m + 1)**2
Solve 2*x**4/5 - 2*x**3 - 2*x**2 + 18*x - 72/5 = 0 for x.
-3, 1, 3, 4
Find w, given that -28*w**4 + 384*w**3 - 252*w**2 - 104*w = 0.
-2/7, 0, 1, 13
Let -4*k**2 + 2080*k/7 - 592/7 = 0. What is k?
2/7, 74
Suppose -5*p**5 + 1300*p**4 - 5140*p**3 + 5120*p**2 = 0. Calculate p.
0, 2, 256
Let 2*j**4 - 26680*j**3 + 133466700*j**2 - 296740963000*j + 247407777901250 = 0. What is j?
3335
Factor 3*n**2 - 15*n + 12.
3*(n - 4)*(n - 1)
Solve 4*z**2 - 488*z/5 + 896/5 = 0 for z.
2, 112/5
Let 3*b**5/2 + 12*b**4 - 33*b**3/2 - 27*b**2 = 0. Calculate b.
-9, -1, 0, 2
Let -v**2 + 56*v - 343 = 0. Calculate v.
7, 49
Factor 4*z**3 - 28*z**2 + 40*z.
4*z*(z - 5)*(z - 2)
What is s in 3*s**4 - 6*s**3 + 6*s - 3 = 0?
-1, 1
Factor 3*d**5 + 162*d**4 - 678*d**3 + 1032*d**2 - 693*d + 174.
3*(d - 1)**4*(d + 58)
Suppose 2*j**5/11 + 2*j**4/11 - 6*j**3/11 - 10*j**2/11 - 4*j/11 = 0. Calculate j.
-1, 0, 2
Suppose 2*h**5/3 + 5572*h**4/3 + 3869738*h**3/3 - 5181960*h**2 + 5189400*h = 0. Calculate h.
-1395, 0, 2
Suppose 3*v**4 - 81*v**3 = 0. Calculate v.
0, 27
Factor m**4/9 + 2*m**3/9 - 241*m**2/9 + 238*m/9.
m*(m - 14)*(m - 1)*(m + 17)/9
Solve r**5/6 + 79*r**4/3 - 403*r**3/3 + 730*r**2/3 - 1139*r/6 + 163/3 = 0.
-163, 1, 2
Factor -2*u**3 + 2*u**2 + 4*u.
-2*u*(u - 2)*(u + 1)
Let 10*d**5 + 102*d**4 + 378*d**3 + 594*d**2 + 324*d = 0. Calculate d.
-3, -6/5, 0
Factor -15*g**3 + 234*g**2 + 2076*g + 792.
-3*(g - 22)*(g + 6)*(5*g + 2)
Let 45*f**5 + 60*f**4 - 160*f**3 - 240*f**2 - 80*f = 0. What is f?
-2, -2/3, 0, 2
Let -4*y**5 + 20*y**4 + 100*y**3 - 260*y**2 - 480*y + 1008 = 0. Calculate y.
-3, 2, 7
Let 2*g**3/3 + 3556*g**2/9 - 1190*g/9 - 2372/9 = 0. What is g?
-593, -2/3, 1
Factor 2*h**3 + 2*h**2 - 34*h + 30.
2*(h - 3)*(h - 1)*(h + 5)
Solve 104*x**5 + 2356*x**4 + 1452*x**3 - 976*x**2 - 176*x = 0.
-22, -1, -2/13, 0, 1/2
Determine a so that -4*a**5 - 88*a**4 + 1324*a**3 + 1408*a**2 = 0.
-32, -1, 0, 11
Let 196*t**3/9 + 5152*t**2/9 + 33856*t/9 = 0. What is t?
-92/7, 0
Determine q, given that 3*q**4 - 21*q**3 - 51*q**2 - 27*q = 0.
-1, 0, 9
Factor 33*i**3/8 + 237*i**2/8 + 93*i/2 + 15/2.
3*(i + 2)*(i + 5)*(11*i + 2)/8
Let -5*g**5/2 + 165*g**4/2 + 465*g**3 + 380*g**2 = 0. What is g?
-4, -1, 0, 38
Factor 3*v**5/2 + 3*v**4 - 27*v**3/2 - 33*v**2 + 6*v + 36.
3*(v - 3)*(v - 1)*(v + 2)**3/2
Determine q so that -4*q**3/9 - 968*q**2/9 + 1948*q/9 - 976/9 = 0.
-244, 1
Determine r, given that 9*r**5/2 + 216*r**4 + 816*r**3 + 3208*r**2/3 + 1768*r/3 + 352/3 = 0.
-44, -2, -2/3
Find u, given that -5*u**5 + 70*u**4 - 270*u**3 + 140*u**2 + 275*u - 210 = 0.
-1, 1, 6, 7
Factor -2*s**4 + 32*s**3 + 72*s**2.
-2*s**2*(s - 18)*(s + 2)
Factor -y**3/3 + 917*y**2 - 840889*y + 771095213/3.
-(y - 917)**3/3
Factor 5*j**2 - 50*j.
5*j*(j - 10)
Factor -15138*h**4/7 - 91524*h**3/7 - 140426*h**2/7 - 6312*h/7 - 72/7.
-2*(h + 3)**2*(87*h + 2)**2/7
Factor -3*q**4 + 12*q**3 + 159*q**2 - 612*q - 756.
-3*(q - 6)**2*(q + 1)*(q + 7)
Factor r**3/4 - r**2/2 - 5*r/4 + 3/2.
(r - 3)*(r - 1)*(r + 2)/4
Factor -d**2 + 38*d + 123.
-(d - 41)*(d + 3)
Suppose 2*u**4/5 - 36*u**3/5 + 114*u**2/5 + 344*u/5 + 192/5 = 0. What is u?
-1, 8, 12
Factor -4*g**4 - 176*g**3 + 1908*g**2.
-4*g**2*(g - 9)*(g + 53)
Determine w so that 4*w**4/11 - 12051*w**3/11 + 21079*w**2/11 - 6021*w/11 - 3011/11 = 0.
-1/4, 1, 3011
Determine t, given that 8*t**4 - 132*t**3 + 172*t**2 + 120*t = 0.
-1/2, 0, 2, 15
Determine i, given that 4*i**2 - 36*i - 40 = 0.
-1, 10
Factor 15*t**2 + 246*t + 315.
3*(t + 15)*(5*t + 7)
Factor 2*i**3 + 144*i**2 + 280*i.
2*i*(i + 2)*(i + 70)
Suppose 3*m**4/2 - 15*m**3 + 99*m**2/2 - 60*m + 24 = 0. What is m?
1, 4
Factor -3*l**3 + 9*l**2 + 174*l + 360.
-3*(l - 10)*(l + 3)*(l + 4)
Factor -w**2/9 - 11*w/3 - 242/9.
-(w + 11)*(w + 22)/9
Factor 30*m**2 - 65*m + 10.
5*(m - 2)*(6*m - 1)
What is o in 4*o**2 + 144*o + 396 = 0?
-33, -3
Determine y so that 45*y**5 - 55*y**4 + 10*y**3 = 0.
0, 2/9, 1
Factor -2*r**2 + 168*r.
-2*r*(r - 84)
Let -15*y**3 + 1473*y**2 + 2706*y - 600 = 0. What is y?
-2, 1/5, 100
Suppose z**5/8 + 11*z**4/8 - 45*z**3/8 - 31*z**2/8 + 37*z/2 - 21/2 = 0. What is z?
-14, -2, 1, 3
Suppose 3*k**3 + 72*k**2 + 123*k - 198 = 0. What is k?
-22, -3, 1
Factor -3*n**4/8 - 3*n**3/2 + 45*n**2/2 + 108*n.
-3*n*(n - 8)*(n + 6)**2/8
Suppose -s**3/2 + 107*s**2 + 216*s = 0. What is s?
-2, 0, 216
Determine j, given that j**5/9 - 7*j**4/3 + 128*j**3/9 - 344*j**2/9 + 48*j - 208/9 = 0.
2, 13
Solve 4*m**2 + 36*m - 88 = 0 for m.
-11, 2
Determine a, given that -2*a**4/5 - 4*a**3 + 288*a**2/5 - 972*a/5 + 1026/5 = 0.
-19, 3
Factor -2*b**4 + 136*b**3 - 1344*b**2.
-2*b**2*(b - 56)*(b - 12)
Factor 3*c**2 + 2403*c - 4818.
3*(c - 2)*(c + 803)
Factor 2*u**3/5 + 14*u**2 + 134*u/5 + 66/5.
2*(u + 1)**2*(u + 33)/5
Factor 3*c**4 + 7*c**3 - 60*c**2 + 36*c.
c*(c - 3)*(c + 6)*(3*c - 2)
Factor -i**3/4 + 162*i**2 - 26244*i.
-i*(i - 324)**2/4
Let 5*v**4 - 34*v**3/3 - 7*v**2/3 + 34*v/3 - 8/3 = 0. What is v?
-1, 4/15, 1, 2
Factor -2*c**2/13 - 14*c/13 - 12/13.
-2*(c + 1)*(c + 6)/13
Let -2*v**3/5 - 4*v**2/5 + 6*v/5 = 0. Calculate v.
-3, 0, 1
Find o, given that -4*o**3/5 + 136*o**2/5 - 596*o/5 + 464/5 = 0.
1, 4, 29
Suppose 2*q**2/3 - 22*q/3 - 28 = 0. Calculate q.
-3, 14
Factor -5*m**3 + 500*m.
-5*m*(m - 10)*(m + 10)
Factor 10*z**2/7 - 518*z - 1452/7.
2*(z - 363)*(5*z + 2)/7
Let 2*q**5/13 - 70*q**4/13 + 860*q**3/13 - 4500*q**2/13 + 810*q - 702 = 0. Calculate q.
3, 13
Factor 8*d**4/5 - 22*d**3/5 - 6*d**2/5.
2*d**2*(d - 3)*(4*d + 1)/5
Factor -4*d**3/9 - 4*d**2/3 + 4*d + 12.
-4*(d - 3)*(d + 3)**2/9
Suppose -2*u**5 - 30*u**4 - 52*u**3 + 4*u**2 + 54*u + 26 = 0. Calculate u.
-13, -1, 1
Factor 2*v**2/3 - 98*v - 296/3.
2*(v - 148)*(v + 1)/3
Suppose 2*a**2 - 14*a - 16 = 0. Calculate a.
-1, 8
Solve f**2/2 + 434*f + 94178 = 0 for f.
-434
Let -3*u**2 + 312*u = 0. Calculate u.
0, 104
Determine h so that 5*h**2 + 260*h + 1380 = 0.
-46, -6
Determine l so that -48*l**4/5 + 1512*l**3/5 + 789*l**2/5 - 135*l + 96/5 = 0.
-1, 1/4, 32
Determine u, given that -8*u**5 + 604*u**4/3 + 856*u**3 + 2876*u**2/3 + 232*u = 0.
-2, -3/2, -1/3, 0, 29
Find d, given that 2*d**5 - 28*d**4 - 4*d**3 + 56*d**2 + 2*d - 28 = 0.
-1, 1, 14
Find i such that -3*i**4 - 51*i**3 + 2394*i**2 = 0.
-38, 0, 21
Find j, given that 2*j**5/13 + 24*j**4/13 + 86*j**3/13 + 120*j**2/13 + 56*j/13 = 0.
-7, -2, -1, 0
Suppose -w**5 - 116*w**4 + 478*w**3 - 244*w**2 - 477*w + 360 = 0. What is w?
-120, -1, 1, 3
What is o in -5*o**2 + 7470*o - 2790045 = 0?
747
What is m in -3*m**3/2 + 60*m**2 + 609*m/2 - 22707 = 0?
-18, 29
Determine q, given that 22*q**5 + 758*q**4/3 - 1570*q**3/3 - 3590*q**2/3 - 1016*q/3 + 104 = 0.
-13, -1, -2/3, 2/11, 3
Factor -16*k**4 - 856*k**3 + 8367*k**2 - 4022*k + 496.
-(k - 8)*(k + 62)*(4*k - 1)**2
Find k such that -3*k**3/2 - 69*k**2/2 - 63*k = 0.
-21, -2, 0
Factor 20*w**3 + 692*w**2 - 1000*w + 288.
4*(w - 1)*(w + 36)*(5*w - 2)
Factor 3*l**2 - 90*l + 672.
3*(l - 16)*(l - 14)
Factor -2*s**3/5 + 52*s**2/5