+ 62208/5 = 0.
-36, 4
Factor -3*r**2 + 75*r - 138.
-3*(r - 23)*(r - 2)
Find t, given that -5*t**2 + 755*t + 760 = 0.
-1, 152
Suppose 5*a**4 + 565*a**3 + 2200*a**2 + 2180*a = 0. What is a?
-109, -2, 0
Solve -21*g**2/2 - 89*g/2 + 16 = 0.
-32/7, 1/3
Factor 3*j**2/4 + 1419*j/4.
3*j*(j + 473)/4
Factor -4*f**2 + 16*f - 12.
-4*(f - 3)*(f - 1)
Determine k, given that -2*k**5 + 6*k**4 + 22*k**3 - 6*k**2 - 20*k = 0.
-2, -1, 0, 1, 5
Find q such that 3*q**3 - 33*q**2 = 0.
0, 11
Let -2*o**4/9 + 8*o**3/3 + 2*o**2/3 - 68*o/9 - 16/3 = 0. Calculate o.
-1, 2, 12
Factor m**5/2 + 3*m**4 - 3*m**3/2 - 8*m**2 + 6*m.
m*(m - 1)**2*(m + 2)*(m + 6)/2
Factor -2*k**2/9 - 4*k/9.
-2*k*(k + 2)/9
Factor -j**2/2 + 5*j/6 + 11/3.
-(j + 2)*(3*j - 11)/6
Solve 3*h**3 - 2028*h**2 + 344751*h - 681414 = 0 for h.
2, 337
Factor -u**3 + 22*u**2 + 116*u - 312.
-(u - 26)*(u - 2)*(u + 6)
Find k such that -10*k**4/7 + 362*k**3/7 - 1026*k**2/7 + 1006*k/7 - 332/7 = 0.
1, 166/5
Determine m so that -5*m**4 - 1550*m**3 - 120125*m**2 = 0.
-155, 0
Factor 5*f**4 + 90*f**3 + 385*f**2.
5*f**2*(f + 7)*(f + 11)
Find v, given that v**5/3 - 2*v**4 - v**3/3 + 2*v**2 = 0.
-1, 0, 1, 6
Solve -16*h**5 - 232*h**4 + 791*h**3 + 1825*h**2 - 1046*h + 136 = 0.
-17, -2, 1/4, 4
Factor z**2 - 3*z + 2.
(z - 2)*(z - 1)
Factor -r**2/2 + 2*r + 5/2.
-(r - 5)*(r + 1)/2
Determine d, given that -4*d**3 - 596*d**2 - 2336*d - 2320 = 0.
-145, -2
Find d, given that 69*d**4/4 - 489*d**3/4 + 525*d**2/4 + 993*d/4 - 45/2 = 0.
-1, 2/23, 3, 5
Factor 4*o**3 + 144*o**2 - 2748*o + 2600.
4*(o - 13)*(o - 1)*(o + 50)
Factor v**2/2 - 25*v + 48.
(v - 48)*(v - 2)/2
Suppose -3*v**5 - 21*v**4 - 15*v**3 + 21*v**2 + 18*v = 0. What is v?
-6, -1, 0, 1
Let -3*r**5/4 - 69*r**4/4 + 159*r**3/4 + 225*r**2/4 = 0. What is r?
-25, -1, 0, 3
Solve -5*k**2 - 105*k = 0 for k.
-21, 0
Factor -2*m**2 + 994*m + 996.
-2*(m - 498)*(m + 1)
Solve 12*g**4/5 - 28*g**3 + 508*g**2/5 - 116*g + 40 = 0.
2/3, 1, 5
Factor 4*t**3 + 104*t**2 - 464*t + 480.
4*(t - 2)**2*(t + 30)
Let 7*h**5/4 - 27*h**4/4 - 23*h**3/2 + 11*h**2/2 + 39*h/4 + 5/4 = 0. Calculate h.
-1, -1/7, 1, 5
What is j in -10*j**3 - 88*j**2 + 118*j - 20 = 0?
-10, 1/5, 1
Factor g**2/5 + 3866*g/5 + 3736489/5.
(g + 1933)**2/5
Suppose -t**5 - 13*t**4 - 23*t**3 - 11*t**2 = 0. Calculate t.
-11, -1, 0
Suppose -2*g**2/7 + 372*g/7 + 374/7 = 0. Calculate g.
-1, 187
Factor 8*o**2/5 + 769*o/5 + 96/5.
(o + 96)*(8*o + 1)/5
What is y in -4*y**3 - 80*y**2 + 176*y = 0?
-22, 0, 2
Factor 4*u**3 + 56*u**2 - 11040*u.
4*u*(u - 46)*(u + 60)
Suppose 4*w**4/5 + 100*w**3 - 1012*w**2/5 + 508*w/5 = 0. Calculate w.
-127, 0, 1
Factor -2*x**2 + 278*x - 276.
-2*(x - 138)*(x - 1)
Let b**5/4 - 3*b**3/4 - b**2/2 = 0. What is b?
-1, 0, 2
Find b such that 12*b**4 - 308*b**3 + 2216*b**2 - 3072*b + 1152 = 0.
2/3, 1, 12
Factor -4*x**3 - 988*x**2 - 3904*x - 3888.
-4*(x + 2)**2*(x + 243)
Let 4*p**4/5 - 142*p**3/5 - 316*p**2/5 + 568*p/5 + 240 = 0. Calculate p.
-2, 2, 75/2
Solve -2*o**5/3 + 2*o**4 + 26*o**3/3 - 34*o**2 + 24*o = 0.
-4, 0, 1, 3
Factor 4*h**2 - 381*h + 95.
(h - 95)*(4*h - 1)
Find r, given that -r**4/2 + 9*r**3 - 73*r**2/2 + 54*r - 26 = 0.
1, 2, 13
Factor -9*z**4/4 + 17*z**3/2 - 19*z**2/4 - 3*z/2.
-z*(z - 3)*(z - 1)*(9*z + 2)/4
Factor -v**2 + 37*v + 38.
-(v - 38)*(v + 1)
Suppose 2*z**4 - 4528*z**3/3 - 18136*z**2/9 - 672*z = 0. What is z?
-2/3, 0, 756
Factor i**3/7 - 19*i**2/7 + 18*i/7.
i*(i - 18)*(i - 1)/7
Let -45*i**5 + 195*i**4 + 70*i**3 - 660*i**2 + 600*i - 160 = 0. Calculate i.
-2, 2/3, 1, 4
Suppose -55*d**4 - 100*d**3 - 35*d**2 + 10*d = 0. Calculate d.
-1, 0, 2/11
Factor 12*b**5/7 - 3*b**4 + 6*b**3/7 + 3*b**2/7.
3*b**2*(b - 1)**2*(4*b + 1)/7
Factor -i**3/2 + 24*i**2 + 216*i + 448.
-(i - 56)*(i + 4)**2/2
Factor -2*n**2/5 + 8*n - 102/5.
-2*(n - 17)*(n - 3)/5
Solve -10*a**4 - 64*a**3 - 74*a**2 - 20*a = 0.
-5, -1, -2/5, 0
Factor 2*j**4 - 80*j**3 + 1100*j**2 - 6000*j + 11250.
2*(j - 15)**2*(j - 5)**2
Factor 2*a**2 + 58*a + 56.
2*(a + 1)*(a + 28)
Let 12*j**4/7 + 123*j**3/7 - 594*j**2/7 + 516*j/7 + 24 = 0. Calculate j.
-14, -1/4, 2
Solve -2*n**2/3 - 148*n/3 - 1856/3 = 0.
-58, -16
Solve -n**2 - 424*n - 44944 = 0.
-212
Factor 2*n**5/3 - 40*n**4/3 + 52*n**3 + 440*n**2/3 + 242*n/3.
2*n*(n - 11)**2*(n + 1)**2/3
Factor -r**5/4 - 5*r**4/4 - 2*r**3 - r**2.
-r**2*(r + 1)*(r + 2)**2/4
Find k such that -2*k**2/15 - 12*k/5 = 0.
-18, 0
Factor -98*j**3 + 28*j**2 - 2*j.
-2*j*(7*j - 1)**2
Let g**2/2 + 7*g - 15/2 = 0. What is g?
-15, 1
Let -b**3 + 106*b**2 + 436*b + 440 = 0. What is b?
-2, 110
Factor -a**3 + 468*a**2 + 469*a.
-a*(a - 469)*(a + 1)
Solve 9*s**3/5 + 15*s**2 - 54*s/5 = 0 for s.
-9, 0, 2/3
Factor -2*q**2/3 + 20*q/3 - 50/3.
-2*(q - 5)**2/3
Solve -3*d**2/7 - 1896*d/7 - 299568/7 = 0.
-316
Suppose -5*t**4 - 90*t**3 + 115*t**2 + 4680*t - 13520 = 0. Calculate t.
-13, 4
Factor -2*y**2/13 - 830*y/13 + 64.
-2*(y - 1)*(y + 416)/13
Let -5*w**5 + 75*w**3 - 50*w**2 - 120*w = 0. What is w?
-4, -1, 0, 2, 3
Solve -8*h**3 + 268*h**2 + 732*h - 432 = 0.
-3, 1/2, 36
Determine v so that -3*v**5 - 13*v**4 + 6*v**3 + 48*v**2 + 32*v = 0.
-4, -4/3, -1, 0, 2
What is k in -5*k**4 + 20*k**3 - 10*k**2 - 20*k + 15 = 0?
-1, 1, 3
Factor -3*k**4 + 3*k**3 + 36*k**2 + 12*k - 48.
-3*(k - 4)*(k - 1)*(k + 2)**2
Factor t**2/11 - 494*t + 671099.
(t - 2717)**2/11
Factor 4*x**3 + 1308*x**2 + 103584*x - 551120.
4*(x - 5)*(x + 166)**2
Let 2*w**2/3 + 10*w/3 + 8/3 = 0. Calculate w.
-4, -1
Solve -2*w**2/23 + 1060*w/23 - 140450/23 = 0.
265
Solve -16*l**4/3 + 204*l**3 + 156*l**2 = 0 for l.
-3/4, 0, 39
Solve -b**4/3 + 176*b**3/3 - 2460*b**2 - 10800*b = 0 for b.
-4, 0, 90
Factor -m**5 - 6*m**4 - 8*m**3 + 6*m**2 + 9*m.
-m*(m - 1)*(m + 1)*(m + 3)**2
Factor -h**3 - 3*h**2 + 33*h + 35.
-(h - 5)*(h + 1)*(h + 7)
Find m, given that 5*m**5 - 75*m**4 + 195*m**3 - 185*m**2 + 60*m = 0.
0, 1, 12
Factor -3*u**2/5 - 36*u - 300.
-3*(u + 10)*(u + 50)/5
Factor 3*d**2 + 162*d + 459.
3*(d + 3)*(d + 51)
Determine z so that 96*z**5 - 536*z**4 + 964*z**3 - 496*z**2 - 112*z = 0.
-1/6, 0, 7/4, 2
Determine a, given that 2*a**5/7 + 12*a**4/7 + 10*a**3/7 = 0.
-5, -1, 0
Determine n so that -28*n**5 + 356*n**4 + 1364*n**3 + 1676*n**2 + 824*n + 128 = 0.
-1, -2/7, 16
Factor o**5/5 + 552*o**4/5 - 2776*o**3/5 + 5006*o**2/5 - 3897*o/5 + 1114/5.
(o - 2)*(o - 1)**3*(o + 557)/5
What is c in -4*c**4 - 8*c**3 + 4*c**2 + 8*c = 0?
-2, -1, 0, 1
Suppose 3*y**4 - 36*y**3 - 180*y**2 - 192*y = 0. What is y?
-2, 0, 16
Factor -2*k**2/3 + 902*k/3 - 1192.
-2*(k - 447)*(k - 4)/3
Factor -u**4/2 + 38*u**3 + 77*u**2/2.
-u**2*(u - 77)*(u + 1)/2
Determine g so that -2*g**3/9 + 50*g**2/3 + 3164*g/9 - 368 = 0.
-18, 1, 92
Factor -2*r**2/7 + 60*r/7.
-2*r*(r - 30)/7
Factor 3*r**4 - 258*r**3 + 5280*r**2 + 11616*r.
3*r*(r - 44)**2*(r + 2)
Factor 2*j**4/23 - 134*j**3/23 - 204*j**2/23 + 164152*j/23 - 2751280/23.
2*(j - 34)**3*(j + 35)/23
What is o in 5*o**2 + 1240*o - 2500 = 0?
-250, 2
Factor -1069156*t**2/9 + 8272*t - 144.
-4*(517*t - 18)**2/9
Find g such that -4*g**3/5 + 144*g**2/5 - 228*g - 2888/5 = 0.
-2, 19
Find m such that 2*m**2 + 16*m - 18 = 0.
-9, 1
Find l such that -3*l**3/5 - 3*l**2 - 18*l/5 = 0.
-3, -2, 0
Let t**3 - 301*t**2 + 23095*t - 66603 = 0. What is t?
3, 149
Let -2*i**4/3 - 2*i**3 - 2*i**2/3 + 2*i + 4/3 = 0. What is i?
-2, -1, 1
Factor 33*a**3 + 306*a**2 + 705*a.
3*a*(a + 5)*(11*a + 47)
Factor 128*h**3 + 378*h**2 + 238*h - 12.
2*(h + 1)*(h + 2)*(64*h - 3)
Let -t**2 - 4*t + 5 = 0. What is t?
-5, 1
Determine l, given that -3*l**4 - 27*l**3 - 45*l**2 + 75*l = 0.
-5, 0, 1
Let -2*m**5/7 - 222*m**4/7 - 214*m**3/7 + 662*m**2/7 + 216*m/7 - 440/7 = 0. What is m?
-110, -2, -1, 1
Solve 20*i**2/3 + 16*i/3 - 256/3 = 0.
-4, 16/5
Factor 60*v**4 - 2875*v**3 - 965*v**2.
5*v**2*(3*v + 1)*(4*v - 193)
Factor -b**4 + 7*b**3 - 18*b**2 + 20*b - 8.
-(b - 2)**3*(b - 1)
What is i in 4*i**3 + 344*i**2 + 5164*i + 4824 = 0?
-67, -18, -1
Suppose -3*y**2 + 3*y + 216 = 0. What is y?
-8, 9
Factor -2*y**2 - 1160*y - 3462.
-2*(y + 3)*(y + 577)
What is d in 9*d**4/7 - 78*d**3/7 - 5*d**2 + 68*d/7 + 36/7 = 0?
-2/3, 1, 9
Determine a, given that -a**3/4 + 6*a**2 = 0.
0, 24
Factor -3*g**4 + 66*g**3 - 63*g**2.
-3*g**2*(g - 21)*(g - 1)
Factor -l**2 + 165*l + 166.
-(l - 166)*(l + 1)
Suppose 2*x**3/7 - 76*x**2 + 5054*x = 0. Calculate x.
0, 133
What is t in -4*t**5/3 + 136*t**4/3 + 8*t**3/3