*(t - 4)*(t + 22)
Suppose 4*j**2 - 36*j + 32 = 0. Calculate j.
1, 8
Let 2*w**4/13 + 16*w**3/13 + 34*w**2/13 - 4*w/13 - 48/13 = 0. What is w?
-4, -3, -2, 1
Factor k**2 + 44*k + 484.
(k + 22)**2
Let 9*s**2 - 1119*s - 750 = 0. What is s?
-2/3, 125
Factor 4*m**3 + 292*m**2 + 1120*m + 1104.
4*(m + 2)**2*(m + 69)
Suppose -845*n**5 - 15470*n**4 - 17375*n**3 + 24470*n**2 + 8540*n + 680 = 0. Calculate n.
-17, -2, -2/13, 1
Determine o so that o**2 + 1266*o + 2528 = 0.
-1264, -2
What is p in -4*p**4/7 + 12*p**2/7 - 8*p/7 = 0?
-2, 0, 1
Factor -2*h**4/7 + 38*h**3/7 - 96*h**2/7.
-2*h**2*(h - 16)*(h - 3)/7
Solve -4*x**4 + 288*x**3 - 2128*x**2 + 5184*x - 4096 = 0 for x.
2, 4, 64
Factor -4*i**4 - 128*i**3 - 1212*i**2 - 3008*i + 4352.
-4*(i - 1)*(i + 8)**2*(i + 17)
What is u in -u**2/5 + 149*u/5 + 456/5 = 0?
-3, 152
Factor 3*h**4 - 60*h**3 + 297*h**2 - 264*h - 624.
3*(h - 13)*(h - 4)**2*(h + 1)
What is t in 3*t**3/4 + 129*t**2/4 - 555*t/4 + 423/4 = 0?
-47, 1, 3
Solve -4*m**3 - 200*m**2 - 2688*m - 4608 = 0 for m.
-24, -2
Factor -2*h**5/15 - 12*h**4 - 270*h**3.
-2*h**3*(h + 45)**2/15
Factor 2*q**3/13 + 462*q**2/13 + 35574*q/13 + 913066/13.
2*(q + 77)**3/13
Factor 4*w**3/5 - 744*w**2/5 + 34596*w/5.
4*w*(w - 93)**2/5
Find m such that -2*m**2/17 + 938*m/17 - 936/17 = 0.
1, 468
What is w in w**4 + 16*w**3 + 39*w**2 = 0?
-13, -3, 0
Factor -o**2/3 - 5176*o - 20093232.
-(o + 7764)**2/3
Solve -4*k**4 + 156*k**3 + 668*k**2 + 852*k + 344 = 0.
-2, -1, 43
Let -p**5 + 19*p**4 - 51*p**3 + 49*p**2 - 16*p = 0. Calculate p.
0, 1, 16
Let d**5/5 + 6*d**4/5 + 8*d**3/5 - 2*d**2/5 - 9*d/5 - 4/5 = 0. What is d?
-4, -1, 1
Find n, given that 2*n**3 - 101*n**2 + 188*n + 291 = 0.
-1, 3, 97/2
Factor -y**2 + 40*y - 39.
-(y - 39)*(y - 1)
Factor 3*w**2 + 420*w - 1728.
3*(w - 4)*(w + 144)
Factor -3*g**5 + 3*g**4 + 90*g**3 + 222*g**2 + 201*g + 63.
-3*(g - 7)*(g + 1)**3*(g + 3)
Factor t**2/4 - 53*t/4 - 27/2.
(t - 54)*(t + 1)/4
Factor -3*k**3/7 + 54*k**2/7 - 324*k/7 + 648/7.
-3*(k - 6)**3/7
Factor 3*x**3 - 978*x**2.
3*x**2*(x - 326)
Factor -4*s**4 + 104*s**3 - 596*s**2 + 1264*s - 912.
-4*(s - 19)*(s - 3)*(s - 2)**2
Determine n so that n**2/2 + 412*n + 84872 = 0.
-412
What is a in 6*a**3 + 16*a**2 + 8*a = 0?
-2, -2/3, 0
Find w such that 10*w**5/3 - 48*w**4 + 386*w**3/3 + 988*w**2/3 + 64*w - 256/3 = 0.
-1, 2/5, 8
Factor -20*j**3 - 1532*j**2 - 2384*j + 1200.
-4*(j + 2)*(j + 75)*(5*j - 2)
Solve u**5/6 + 5*u**4/6 - 3*u**3/2 - 17*u**2/6 + 4*u/3 + 2 = 0 for u.
-6, -1, 1, 2
Suppose -18*r**3/11 - 2300*r**2/11 + 2834*r/11 - 516/11 = 0. What is r?
-129, 2/9, 1
Let 2*r**5/15 - 2*r**4/15 - 118*r**3/15 + 2*r**2/3 + 332*r/15 - 224/15 = 0. Calculate r.
-7, -2, 1, 8
Factor -9*m**4 + 546*m**3 + 740*m**2 + 248*m.
-m*(m - 62)*(3*m + 2)**2
Suppose 3*j**5 + 27*j**4 - 78*j**3 - 126*j**2 + 75*j + 99 = 0. Calculate j.
-11, -1, 1, 3
Factor -y**2/8 - 98*y - 19208.
-(y + 392)**2/8
Find d, given that 85*d**4 - 160*d**3 - 105*d**2 + 160*d + 20 = 0.
-1, -2/17, 1, 2
Solve 3*l**2 - 6*l - 9 = 0.
-1, 3
Let -2*d**2/5 - 8*d/5 + 24/5 = 0. Calculate d.
-6, 2
Factor -m**3/3 - 94*m**2/3 - 2209*m/3.
-m*(m + 47)**2/3
Suppose m**4 + 7*m**3 - 82*m**2 + 212*m - 168 = 0. What is m?
-14, 2, 3
Suppose n**4 + 6*n**3 - 32*n = 0. Calculate n.
-4, 0, 2
Let -p**4 + 188*p**3 - 8645*p**2 - 18050*p = 0. Calculate p.
-2, 0, 95
Determine i, given that -5*i**5 - 5*i**4 + 165*i**3 + 665*i**2 + 920*i + 420 = 0.
-3, -2, -1, 7
Factor -n**2 + 3*n - 2.
-(n - 2)*(n - 1)
Find f such that f**4/3 - 7*f**2/3 + 2*f = 0.
-3, 0, 1, 2
Determine u, given that 5*u**4 + 10*u**3 - 20*u**2 - 10*u + 15 = 0.
-3, -1, 1
Factor 3*t**3/5 - 141*t**2/5 + 516*t/5.
3*t*(t - 43)*(t - 4)/5
Factor -2*g**5/5 - 2*g**4/5 + 4*g**3/5.
-2*g**3*(g - 1)*(g + 2)/5
Find j such that -5*j**3/3 + 2090*j**2/3 + 5*j/3 - 2090/3 = 0.
-1, 1, 418
Let -l**3 + 47*l**2 + 54*l - 288 = 0. Calculate l.
-3, 2, 48
Factor 2*h**5 - 8*h**4 - 12*h**3 + 8*h**2 + 10*h.
2*h*(h - 5)*(h - 1)*(h + 1)**2
Suppose r**4/2 - 11*r**3/2 + 19*r**2/2 + 99*r/2 - 126 = 0. What is r?
-3, 3, 4, 7
Factor -5*k**2 - 3855*k + 3860.
-5*(k - 1)*(k + 772)
Factor g**5/12 + 5*g**4/12 - 7*g**3/4 + 23*g**2/12 - 2*g/3.
g*(g - 1)**3*(g + 8)/12
Factor 54*j**3/5 - 426*j**2/5 + 876*j/5 - 96.
6*(j - 5)*(j - 2)*(9*j - 8)/5
Find j such that 3*j**4/2 + 81*j**3 + 1356*j**2 + 6831*j + 11109/2 = 0.
-23, -7, -1
Let 2*t**5 - 2*t**4/3 - 34*t**3/3 - 38*t**2/3 - 4*t = 0. Calculate t.
-1, -2/3, 0, 3
Determine z so that -2*z**3/11 + 14*z**2/11 + 42*z/11 - 54/11 = 0.
-3, 1, 9
Let -87*w**4/7 + 429*w**3/7 - 492*w**2/7 - 36*w/7 = 0. Calculate w.
-2/29, 0, 2, 3
Factor 5*j**4/4 - 775*j**3 + 129065*j**2 - 2771400*j + 15984720.
5*(j - 298)**2*(j - 12)**2/4
Factor q**4 - 4*q**3 - 42*q**2 - 36*q + 81.
(q - 9)*(q - 1)*(q + 3)**2
Let -2*y**2/11 + 42*y/11 + 92/11 = 0. What is y?
-2, 23
Let 243*r**5 - 675*r**4 + 669*r**3 - 289*r**2 + 56*r - 4 = 0. What is r?
2/9, 1/3, 1
Determine z, given that -5*z**3 + 41*z**2/2 + 158*z - 16 = 0.
-4, 1/10, 8
Solve -4*l**2 + 84*l - 152 = 0 for l.
2, 19
Let -2*d**2 - 588*d + 590 = 0. What is d?
-295, 1
Factor -3*l**3/4 - 1047*l**2/2 - 93912*l - 887520.
-3*(l + 10)*(l + 344)**2/4
Suppose -6*p**5 + 27*p**4 + 3*p**3 - 63*p**2 + 3*p + 36 = 0. What is p?
-1, 1, 3/2, 4
Factor -4*t**4 + 128*t**3 + 136*t**2 - 128*t - 132.
-4*(t - 33)*(t - 1)*(t + 1)**2
Factor -54*u**4 + 24*u**3 + 8*u**2.
-2*u**2*(3*u - 2)*(9*u + 2)
Determine b so that 2*b**5 + 4*b**4 - 14*b**3 - 40*b**2 - 24*b = 0.
-2, -1, 0, 3
Let 2*d**2/7 - 36*d + 1210/7 = 0. What is d?
5, 121
Let -11*u**2/5 - 337*u/5 + 348/5 = 0. Calculate u.
-348/11, 1
Factor 9*p**5 - 15*p**4 + 3*p**3 + 3*p**2.
3*p**2*(p - 1)**2*(3*p + 1)
Suppose 2*c**5 + 40*c**4/3 + 14*c**3 - 16*c**2 - 40*c/3 = 0. What is c?
-5, -2, -2/3, 0, 1
Determine d, given that -2*d**2 - 840*d - 88200 = 0.
-210
Factor 2*j**2 + 424*j - 426.
2*(j - 1)*(j + 213)
Let -2*c**4/5 + 192*c**3/5 - 6076*c**2/5 + 61248*c/5 + 67518/5 = 0. What is c?
-1, 31, 33
Factor -2*o**3 + 100*o**2 - 1122*o.
-2*o*(o - 33)*(o - 17)
Determine b so that 2*b**4/9 + 76*b**3 + 1352*b**2/3 + 8080*b/9 + 1792/3 = 0.
-336, -2
Factor -52*c**3 + 2*c**2.
-2*c**2*(26*c - 1)
Determine p, given that -4*p**5 + 132*p**4 + 144*p**3 - 272*p**2 = 0.
-2, 0, 1, 34
Determine m so that m**3/2 + 54*m**2 - 333*m/2 = 0.
-111, 0, 3
Let 4*l**5 + 112*l**4/5 + 32*l**3/5 - 512*l**2/5 - 448*l/5 + 256/5 = 0. Calculate l.
-4, -2, 2/5, 2
Factor -5*t**2 + 115*t - 210.
-5*(t - 21)*(t - 2)
Factor 147*n**5 - 489153*n**4 + 542657001*n**3 - 200808860199*n**2 + 114615070152*n - 16367256348.
3*(n - 1109)**3*(7*n - 2)**2
Factor -2*d**4 - 20*d**3 - 26*d**2 + 120*d - 72.
-2*(d - 1)**2*(d + 6)**2
Factor -7*h**3 + 17*h**2 - 2*h - 8.
-(h - 2)*(h - 1)*(7*h + 4)
Let b**2/8 - 11*b/8 = 0. What is b?
0, 11
Factor 7*d**4 - 586*d**3 - 168*d**2.
d**2*(d - 84)*(7*d + 2)
Let 2*s**2/5 + 118*s/5 + 116/5 = 0. Calculate s.
-58, -1
Determine m, given that 2*m**4/5 + 14*m**3/5 - 16*m**2 + 88*m/5 = 0.
-11, 0, 2
Let -1372*y**4 + 12152*y**3 - 9744*y**2 + 2720*y - 256 = 0. What is y?
2/7, 8
What is z in 2*z**3/3 + 2036*z**2/3 - 4078*z/3 + 680 = 0?
-1020, 1
Suppose c**4/4 + 3*c**3/4 - 5*c**2/4 - 3*c/4 + 1 = 0. Calculate c.
-4, -1, 1
Suppose g**5 + 4*g**4 + 3*g**3 - 4*g**2 - 4*g = 0. What is g?
-2, -1, 0, 1
Find r such that r**5/2 - 15*r**4/8 - r**3 + 15*r**2/8 + r/2 = 0.
-1, -1/4, 0, 1, 4
Factor h**3/3 + 7*h**2 + 20*h/3.
h*(h + 1)*(h + 20)/3
Factor -3*c**3 + 198*c**2 + 201*c.
-3*c*(c - 67)*(c + 1)
Let 4*o**5 + 4*o**4 - 8*o**3 = 0. Calculate o.
-2, 0, 1
Factor 6*k**2 - 9118*k - 3040.
2*(k - 1520)*(3*k + 1)
Let -4*b**3 - 20*b**2 + 224*b + 240 = 0. What is b?
-10, -1, 6
Factor 4*n**4 - 76*n**3 - 252*n**2 - 260*n - 88.
4*(n - 22)*(n + 1)**3
Factor 2*s**3 - 14*s**2 - 148*s + 336.
2*(s - 12)*(s - 2)*(s + 7)
Factor -12*w**2 - 75*w - 18.
-3*(w + 6)*(4*w + 1)
Factor 3*m**4/7 - 90*m**3/7 + 939*m**2/7 - 3960*m/7 + 5808/7.
3*(m - 11)**2*(m - 4)**2/7
Determine h so that -3*h**3/5 - 3*h**2/5 + 303*h/5 - 297/5 = 0.
-11, 1, 9
Determine o, given that -2*o**4/9 + 2*o**3 + 8*o**2/3 - 40*o/9 = 0.
-2, 0, 1, 10
Suppose -4*w**4/7 + 192*w**3/7 - 568*w**2/7 - 5952*w - 26908 = 0. Calculate w.
-7, 31
Find b, given that -4*b**3 - 64*b**2 - 308*b - 392 = 0.
-7, -2
Suppose 2*v**5/13 + 98*v**4/13 + 368*v**3/13 + 360*v**2/13 = 0. What is v?
-45, -2, 0
Factor -21*b**2/