*2 + 24649*p = 0.
-157, 0
Suppose 2*x**2/19 - 60*x/19 + 432/19 = 0. Calculate x.
12, 18
What is w in 4*w**2/9 + 4*w/9 = 0?
-1, 0
Factor -5*y**3 - 275*y**2 - 3640*y + 3920.
-5*(y - 1)*(y + 28)**2
Determine p, given that 4*p**2 - 8*p = 0.
0, 2
Find x, given that 3*x**2 - 177*x = 0.
0, 59
Factor 5*b**4 - 185*b**3 + 355*b**2 - 175*b.
5*b*(b - 35)*(b - 1)**2
Find o such that o**4 - 13*o**3 + 23*o**2 - 11*o = 0.
0, 1, 11
Let 2*f**5/3 - 6*f**4 - 122*f**3/3 - 238*f**2/3 - 64*f - 56/3 = 0. Calculate f.
-2, -1, 14
Factor -n**3/3 - 97*n**2/3 - 494*n.
-n*(n + 19)*(n + 78)/3
Factor 5*z**4 - 300*z**3 - 930*z**2 - 940*z - 315.
5*(z - 63)*(z + 1)**3
What is o in 3*o**5/8 + 3*o**4/8 - 15*o**3/8 - 15*o**2/8 + 3*o/2 + 3/2 = 0?
-2, -1, 1, 2
Solve -n**4 + 5116*n**3 - 8726190*n**2 + 4965198700*n - 4956477625 = 0.
1, 1705
Let 7*u**2/3 + 32*u/3 + 16/3 = 0. Calculate u.
-4, -4/7
Factor -4*b**3/3 + 488*b**2 - 45612*b + 524176/3.
-4*(b - 181)**2*(b - 4)/3
Factor r**2/5 - 144*r/5.
r*(r - 144)/5
What is o in 125000*o**3/3 - 7500*o**2 + 450*o - 9 = 0?
3/50
Solve -4*k**4/5 - 576*k**3/5 - 10388*k**2/5 - 11736*k - 80352/5 = 0.
-124, -9, -2
Determine x, given that x**5/3 - 157*x**4/3 - 319*x**3/3 + 157*x**2/3 + 106*x = 0.
-2, -1, 0, 1, 159
Factor 2*l**2/3 + 8*l/3 + 2.
2*(l + 1)*(l + 3)/3
Solve l**2/5 + 194*l/5 + 384/5 = 0.
-192, -2
Factor -5*d**3/3 - 85*d**2/3 - 295*d/3 + 385/3.
-5*(d - 1)*(d + 7)*(d + 11)/3
Factor -2*f**2 - 4858*f - 4856.
-2*(f + 1)*(f + 2428)
Factor 3*d**3 - 3*d**2 - 18*d.
3*d*(d - 3)*(d + 2)
Determine o, given that -5*o**3 + 325*o**2/2 - 1190*o - 4335/2 = 0.
-3/2, 17
Let 2*b**2/7 + 1368*b/7 + 4086/7 = 0. What is b?
-681, -3
Solve -5*i**5 - 200*i**4 + 230*i**3 + 1040*i**2 + 615*i = 0 for i.
-41, -1, 0, 3
Suppose 2*a**4/3 - 106*a**3/3 - 260*a**2 + 4328*a/3 - 4720/3 = 0. What is a?
-10, 2, 59
Factor -12996*x**4 - 234840*x**3 - 16432*x**2 - 288*x.
-4*x*(x + 18)*(57*x + 2)**2
Solve -3*m**4/2 - 6*m**3 - 3*m**2 + 6*m + 9/2 = 0 for m.
-3, -1, 1
Factor -r**3 - 609*r**2 - 123627*r - 8365427.
-(r + 203)**3
What is f in -2*f**5/13 + 40*f**4/13 - 58*f**3/13 - 2092*f**2/13 + 6144*f/13 - 4032/13 = 0?
-7, 1, 2, 12
Suppose 4*t**3 + 20*t**2 + 32*t + 16 = 0. Calculate t.
-2, -1
Factor -5*n**2 - 4880*n + 4885.
-5*(n - 1)*(n + 977)
Suppose u**2/12 - 71*u/2 = 0. Calculate u.
0, 426
Factor 4*r**2 + 532*r - 3920.
4*(r - 7)*(r + 140)
Factor -z**4/3 + 2*z**3/3 - z**2/3.
-z**2*(z - 1)**2/3
What is i in -i**4 - 28*i**3 - 132*i**2 + 896*i - 1024 = 0?
-16, 2
Suppose -28*z**3 - 132*z**2 + 432*z - 112 = 0. Calculate z.
-7, 2/7, 2
Determine h, given that 2*h**3 + 120*h**2 + 2400*h + 16000 = 0.
-20
Factor -3*s**2 + 231*s + 972.
-3*(s - 81)*(s + 4)
Determine n so that -2*n**3 - 2*n**2 + 42*n + 90 = 0.
-3, 5
Let 5*v**5 - 10*v**4 + 5*v**3 = 0. What is v?
0, 1
Factor -10*n**3/7 - 22*n**2 + 96*n/7.
-2*n*(n + 16)*(5*n - 3)/7
Solve -15*o**3/8 + 9*o**2/4 + 27*o/8 - 3/4 = 0 for o.
-1, 1/5, 2
Find j, given that 2*j**4 - 72*j**3 + 714*j**2 - 1156*j = 0.
0, 2, 17
Factor 3*w**4 - 411*w**3 + 19404*w**2 - 342672*w + 1277760.
3*(w - 44)**3*(w - 5)
Factor -2*j**4 + 90*j**3 + 228*j**2 - 1928*j + 2256.
-2*(j - 47)*(j - 2)**2*(j + 6)
What is d in -55*d**5 - 525*d**4 - 215*d**3 + 525*d**2 + 270*d = 0?
-9, -1, -6/11, 0, 1
Determine l so that l**3/2 - 9687*l**2/2 + 31279323*l/2 - 33666977989/2 = 0.
3229
Let 14*q**3/3 - 6004*q**2/9 + 632*q - 1136/9 = 0. Calculate q.
2/7, 2/3, 142
Factor -2*o**2 - 24*o + 26.
-2*(o - 1)*(o + 13)
Suppose t**4 - 6*t**3 + 32*t = 0. Calculate t.
-2, 0, 4
Suppose 2*h**4/7 - 5*h**3 + 144*h**2/7 + 81*h/7 = 0. What is h?
-1/2, 0, 9
Factor 32*i**5 + 80*i**4 + 34*i**3 + 4*i**2.
2*i**2*(i + 2)*(4*i + 1)**2
Solve 2*g**3/3 - 28*g**2 + 264*g + 1936/3 = 0 for g.
-2, 22
Factor 2*x**2/11 - 28*x + 1078.
2*(x - 77)**2/11
Factor p**4/10 - 37*p**3/10 + 168*p**2/5 - 90*p.
p*(p - 25)*(p - 6)**2/10
Let -x**5 - x**4 + 15*x**3 - 23*x**2 + 10*x = 0. What is x?
-5, 0, 1, 2
What is m in -3*m**3/8 + 51*m**2/8 + 195*m - 3450 = 0?
-23, 20
Suppose c**5/2 - 7*c**4/2 - 3*c**3/2 + 19*c**2/2 + 7*c = 0. What is c?
-1, 0, 2, 7
Factor 2*r**3/3 + 2956*r**2/3 + 5906*r/3 + 984.
2*(r + 1)**2*(r + 1476)/3
What is a in 3*a**4/4 - 9*a**3/4 - 21*a**2/2 + 36*a - 24 = 0?
-4, 1, 2, 4
Determine j, given that 2*j**4/19 - 12*j**3/19 + 18*j**2/19 = 0.
0, 3
Determine q, given that 16*q**5 - 172*q**4 + 212*q**3 + 1408*q**2 + 336*q = 0.
-2, -1/4, 0, 6, 7
Factor -w**3/4 + 9*w**2 - 35*w/4.
-w*(w - 35)*(w - 1)/4
Suppose 2*k**3/5 + 174*k**2/5 + 5046*k/5 + 48778/5 = 0. What is k?
-29
Factor 12*r**3/5 - 7*r**2/5 - r.
r*(r - 1)*(12*r + 5)/5
Factor 2*b**4 + 52*b**3 + 286*b**2 + 380*b.
2*b*(b + 2)*(b + 5)*(b + 19)
Factor 5*j**3 + 1695*j**2 + 191535*j + 7214485.
5*(j + 113)**3
Factor 2*f**3/9 - 4*f**2 - 2*f/9 + 4.
2*(f - 18)*(f - 1)*(f + 1)/9
Factor -2*b**3/5 - 26*b**2/5 - 52*b/5 + 16.
-2*(b - 1)*(b + 4)*(b + 10)/5
Let -105*l**4 - 96*l**3 + 708*l**2 - 192*l = 0. Calculate l.
-16/5, 0, 2/7, 2
Factor o**5/3 + 31*o**4/3 + 190*o**3/3 - 766*o**2/3 + 833*o/3 - 289/3.
(o - 1)**3*(o + 17)**2/3
What is v in 3*v**4/2 - 221*v**3/2 - 1625*v**2 + 2938*v - 1204 = 0?
-14, 2/3, 1, 86
Find q, given that 3*q**4/4 - 15*q**3 - 39*q**2/2 + 81*q - 189/4 = 0.
-3, 1, 21
Determine u, given that 21*u**4 - 163*u**3/5 + 3*u**2 + 39*u/5 + 4/5 = 0.
-1/3, -4/35, 1
Determine p so that 3*p**4 - 246*p**3 + 5511*p**2 - 19188*p + 18252 = 0.
2, 39
What is l in -20*l**4 - 5175*l**3 + 1315*l**2 + 5175*l - 1295 = 0?
-259, -1, 1/4, 1
Find t such that -4*t**5 + 52*t**4 + 8*t**3 - 1128*t**2 - 2052*t - 972 = 0.
-3, -1, 9
Let q**5/9 + 199*q**4/3 + 118802*q**3/9 + 7880002*q**2/9 - 39601*q/3 - 7880599/9 = 0. What is q?
-199, -1, 1
Solve -3*u**2 - 72*u + 156 = 0 for u.
-26, 2
Determine i, given that -2*i**2 - 30*i - 108 = 0.
-9, -6
Factor -2*f**3/9 - 4270*f**2/9 + 8546*f/9 - 4274/9.
-2*(f - 1)**2*(f + 2137)/9
Let 3*n**4 + 135*n**3 + 1137*n**2 - 8775*n + 7500 = 0. Calculate n.
-25, 1, 4
Factor -7*h**4 - 537*h**3 + 700*h**2 - 156*h.
-h*(h - 1)*(h + 78)*(7*h - 2)
Factor -t**2 + 134*t/9.
-t*(9*t - 134)/9
Suppose -3*c**4/8 + 117*c**3/8 + 387*c**2/4 + 399*c/2 + 135 = 0. Calculate c.
-2, 45
What is r in -4*r**5 + 4*r**4 + 52*r**3 - 100*r**2 + 48*r = 0?
-4, 0, 1, 3
Factor 3*m**5 - 81*m**4 - 594*m**3.
3*m**3*(m - 33)*(m + 6)
Suppose -95*j**5 - 275*j**4 - 255*j**3 - 65*j**2 + 10*j = 0. Calculate j.
-1, 0, 2/19
Factor x**2 - 137*x + 3132.
(x - 108)*(x - 29)
Factor c**2/8 + 3*c - 13/2.
(c - 2)*(c + 26)/8
Solve 3*p**2/7 + 54*p/7 - 57/7 = 0 for p.
-19, 1
Factor -20*k**2 - 116*k + 24.
-4*(k + 6)*(5*k - 1)
Let 3*v**3 + 2081*v**2/3 - 1244*v - 932/3 = 0. Calculate v.
-233, -2/9, 2
Solve -2*l**5 - 8*l**4/3 + 14*l**3/3 + 8*l**2/3 - 8*l/3 = 0.
-2, -1, 0, 2/3, 1
Find i, given that -3*i**4/8 - 39*i**3/8 - 171*i**2/8 - 285*i/8 - 75/4 = 0.
-5, -2, -1
Let -51*b**3/5 - 40*b**2 - 188*b/5 + 16/5 = 0. Calculate b.
-2, 4/51
Find r, given that r**3/6 + 35*r**2/6 + 98*r/3 - 90 = 0.
-27, -10, 2
Solve 5*f**5 + 100*f**4 + 745*f**3 + 2630*f**2 + 4440*f + 2880 = 0.
-8, -4, -3, -2
Factor r**2/3 - 23*r/3 + 30.
(r - 18)*(r - 5)/3
Factor 2*v**3/9 + 10*v**2/9 - 322*v/9 - 110/3.
2*(v - 11)*(v + 1)*(v + 15)/9
Find m such that -m**3/4 - 5*m**2/2 + 11*m/4 = 0.
-11, 0, 1
Find m such that 4*m**5 - 10*m**4 - 42*m**3 + 90*m**2 + 54*m = 0.
-3, -1/2, 0, 3
Let -3*x**5 - 30*x**4 - 108*x**3 - 162*x**2 - 81*x = 0. What is x?
-3, -1, 0
Suppose -3*c**5 + 12*c**4 + 66*c**3 - 12*c**2 - 63*c = 0. Calculate c.
-3, -1, 0, 1, 7
Factor 225*p**3 - 455*p**2 + 90*p.
5*p*(5*p - 9)*(9*p - 2)
Solve -88*c**4 - 617*c**3 + 433*c**2 + 6605*c + 75 = 0.
-5, -1/88, 3
Factor -z**2 + 25*z + 264.
-(z - 33)*(z + 8)
Let -u**4/2 + 3*u**3 + 195*u**2/2 + 238*u - 882 = 0. Calculate u.
-7, 2, 18
Let b**2/5 - 54*b/5 - 11 = 0. What is b?
-1, 55
Determine t so that -3*t**5/2 + 264*t**4 + 267*t**3 - 264*t**2 - 531*t/2 = 0.
-1, 0, 1, 177
Factor s**2/2 + 5*s/2.
s*(s + 5)/2
Solve 7*c**2 + 128*c + 36 = 0.
-18, -2/7
Determine h so that -12*h**4 + 20*h**3 + 36*h**2 - 36*h - 40 = 0.
-1, 5/3, 2
Find u such that -u**4 - 7*u**3 - 4*u**2 + 12*u = 0.
-6, -2, 0, 1
What is o in -3*o**4/7 - 11*o**3/7 + 6*o**2/7 + 8*o/7 = 0?
-4, -2/3, 0, 1
Solve 2*t**4/15 + 344*t**3/15 + 7396*t**2/5 + 636056*t/15 + 6837602/15 = 0 for t.
-43
Let 2*x**4/7 - 122*x**3/7 + 1794*x**2/7 + 310*x - 3844/7 = 0. What is x?
-2