60*m**2/9 = 0.
-10, -2, 0, 8
Solve s**5/6 + 7*s**4/6 + 11*s**3/6 - 7*s**2/6 - 2*s = 0.
-4, -3, -1, 0, 1
Factor -5*d**3 + 425*d**2 + 2730*d.
-5*d*(d - 91)*(d + 6)
Suppose a**5 - 47*a**4 + 423*a**3 + 3019*a**2 + 4576*a + 2028 = 0. What is a?
-3, -1, 26
Factor -2*j**5 - 2*j**4 + 6*j**3 + 10*j**2 + 4*j.
-2*j*(j - 2)*(j + 1)**3
Factor -3*z**2 - 60*z - 300.
-3*(z + 10)**2
Factor b**4 - 12*b**2 + 16*b.
b*(b - 2)**2*(b + 4)
Solve z**2/2 - 1369*z - 2739/2 = 0 for z.
-1, 2739
Factor -2*c**2 + 760*c - 758.
-2*(c - 379)*(c - 1)
Let -20*l**2/11 - 998*l/11 + 100/11 = 0. Calculate l.
-50, 1/10
Factor -3*g**3 + 105*g**2 - 381*g + 279.
-3*(g - 31)*(g - 3)*(g - 1)
Determine p so that -p**3 - 441*p**2 - 64827*p - 3176523 = 0.
-147
Factor 19*z**4 + 309*z**3 - 1364*z**2 + 1140*z + 400.
(z - 2)**2*(z + 20)*(19*z + 5)
Let h**3 - 6*h**2 + 11*h - 6 = 0. What is h?
1, 2, 3
Let h**5 + 69*h**4 + 1489*h**3 + 9831*h**2 + 8410*h = 0. What is h?
-29, -10, -1, 0
Find i, given that 24*i**3 - 42*i**2 + 21*i - 3 = 0.
1/4, 1/2, 1
Find k, given that 2*k**2/3 - 148*k/3 + 352 = 0.
8, 66
Factor 5*p**2 - 895*p + 1770.
5*(p - 177)*(p - 2)
Solve -15*u**5 + 231*u**4 - 675*u**3 + 789*u**2 - 402*u + 72 = 0 for u.
2/5, 1, 12
Suppose -3*f**4 + 258*f**3 + 9*f**2 - 780*f + 516 = 0. What is f?
-2, 1, 86
Factor 5*f**3 + 8730*f**2 - 8735*f.
5*f*(f - 1)*(f + 1747)
Factor -3*b**3/5 - 129*b**2/5 + 552*b/5 - 564/5.
-3*(b - 2)**2*(b + 47)/5
Suppose c**5 + 601*c**4 - 1205*c**3 + 603*c**2 = 0. What is c?
-603, 0, 1
Factor 6*v**3 + 122*v**2 + 616*v + 192.
2*(v + 8)*(v + 12)*(3*v + 1)
Factor i**5 + 9*i**4 + 26*i**3 + 34*i**2 + 21*i + 5.
(i + 1)**4*(i + 5)
Let b**2/2 + 6085*b/2 + 3042 = 0. Calculate b.
-6084, -1
Suppose 5*j**5 - 195*j**4 + 2070*j**3 + 1350*j**2 - 70875*j - 151875 = 0. What is j?
-3, 15
Determine j so that 245*j**3 - 9905*j**2 - 5720*j - 820 = 0.
-2/7, 41
Suppose -2*z**3 + 8*z**2 - 2*z - 12 = 0. What is z?
-1, 2, 3
Factor -4*q**2/7 - 312*q/7.
-4*q*(q + 78)/7
Determine f so that -6*f**2 + 4628*f/3 - 514/3 = 0.
1/9, 257
Factor -5*m**4/2 + 325*m**3/2 - 945*m**2/2 + 935*m/2 - 155.
-5*(m - 62)*(m - 1)**3/2
Factor 5*l**2 - 90*l + 225.
5*(l - 15)*(l - 3)
Find h such that -2*h**2/23 + 18*h - 412/23 = 0.
1, 206
Let o**5/2 + 5*o**4/2 + 5*o**3/2 - 5*o**2/2 - 3*o = 0. Calculate o.
-3, -2, -1, 0, 1
Find v such that -4*v**3 - 264*v**2 - 4356*v = 0.
-33, 0
Determine c, given that 4*c**5/3 + 14*c**4/3 - 236*c**3/3 - 574*c**2/3 + 1240*c/3 - 448/3 = 0.
-8, -4, 1/2, 1, 7
Find g such that -g**5/3 + g**4/6 + 3*g**3 - 17*g**2/6 - 10*g/3 + 2 = 0.
-3, -1, 1/2, 2
Suppose 44*y**5/9 + 52*y**4/3 + 8*y**3 = 0. What is y?
-3, -6/11, 0
Suppose -d**4 + 3*d**3 - 4*d = 0. Calculate d.
-1, 0, 2
Solve 16*v**3/5 + 168*v**2/5 + 588*v/5 + 686/5 = 0 for v.
-7/2
Determine h, given that 4*h**5 + 400*h**4/9 + 448*h**3/3 + 256*h**2/3 - 2048*h/9 = 0.
-4, 0, 8/9
Factor 7*w**3 + 769*w**2/4 - 209*w/2 + 14.
(w + 28)*(4*w - 1)*(7*w - 2)/4
Suppose -j**3 + 56*j**2 + 116*j = 0. Calculate j.
-2, 0, 58
Factor 4*u**2 - 244*u + 1120.
4*(u - 56)*(u - 5)
Factor x**2 - 27*x - 28.
(x - 28)*(x + 1)
Factor 4*g**5 + 148*g**4 + 144*g**3.
4*g**3*(g + 1)*(g + 36)
Solve -5*r**3/3 + 40*r**2/3 - 35*r/3 = 0.
0, 1, 7
Solve 625*n**5 + 3000*n**4 + 1425*n**3 - 4990*n**2 + 2460*n - 360 = 0 for n.
-3, 2/5
What is t in 2*t**5/9 - 58*t**4/9 - 4*t**3/9 + 116*t**2/9 + 2*t/9 - 58/9 = 0?
-1, 1, 29
Factor -14*i**2 - 130*i - 36.
-2*(i + 9)*(7*i + 2)
Factor -2*g**4/9 + 2*g**3 - 10*g**2/3 + 14*g/9.
-2*g*(g - 7)*(g - 1)**2/9
Solve -3*v**2 - 78*v - 144 = 0.
-24, -2
Find d, given that -3*d**5/2 + 63*d**3 - 96*d**2 - 315*d/2 = 0.
-7, -1, 0, 3, 5
Let 3*m**2 - 15*m - 612 = 0. What is m?
-12, 17
Let -10*g**4 - 5*g**3 + 160*g**2 - 295*g + 150 = 0. Calculate g.
-5, 1, 3/2, 2
Find k, given that -2*k**3/13 + 6*k**2/13 + 212*k/13 - 1056/13 = 0.
-11, 6, 8
Solve -1372*p**4 + 13916*p**3 - 25620*p**2 + 17300*p - 4000 = 0.
5/7, 8
Solve 3*d**3/2 + 19*d**2/4 + 15*d/4 + 1/2 = 0 for d.
-2, -1, -1/6
Factor r**4 + 9*r**3 - 12*r**2 - 20*r.
r*(r - 2)*(r + 1)*(r + 10)
Suppose 3*c**3 + 33*c**2 - 168*c + 180 = 0. What is c?
-15, 2
Suppose 2*i**3/3 + 44*i**2/3 + 130*i/3 - 1352/3 = 0. Calculate i.
-13, 4
Factor -30*p**4 - 124*p**3 - 136*p**2 - 16*p.
-2*p*(p + 2)**2*(15*p + 2)
Factor 100*w**4 - 320*w**3 + 96*w**2 + 256*w + 64.
4*(w - 2)**2*(5*w + 2)**2
Determine p, given that -16*p**5 + 156*p**4 + 408*p**3 + 284*p**2 + 48*p = 0.
-1, -1/4, 0, 12
Factor 3*k**2 + 93*k + 450.
3*(k + 6)*(k + 25)
Solve -2*o**2 - 262*o + 532 = 0.
-133, 2
Factor 2*j**3 - 98*j**2/3 - 448*j/3 + 160/3.
2*(j - 20)*(j + 4)*(3*j - 1)/3
Factor -2*q**5 - 16*q**4 - 48*q**3 - 64*q**2 - 32*q.
-2*q*(q + 2)**4
Determine j so that 4*j**4 - 112*j**3 + 644*j**2 + 760*j = 0.
-1, 0, 10, 19
Determine z so that 2*z**5/3 + 68*z**4/3 + 308*z**3/3 + 536*z**2/3 + 410*z/3 + 116/3 = 0.
-29, -2, -1
Factor -2*p**2/13 - 4*p/13 - 2/13.
-2*(p + 1)**2/13
Factor 4*t**2 + 120*t + 224.
4*(t + 2)*(t + 28)
Factor -2*v**2/3 - 428*v.
-2*v*(v + 642)/3
Factor l**5/8 - l**4/2 - 13*l**3 + 163*l**2/4 - 329*l/8 + 55/4.
(l - 11)*(l - 1)**3*(l + 10)/8
Suppose -5*w**5 - 5*w**4 + 25*w**3 + 5*w**2 - 40*w + 20 = 0. What is w?
-2, 1
Find l such that 3*l**4 - 30*l**3 - 39*l**2 + 354*l + 360 = 0.
-3, -1, 4, 10
What is p in -5*p**3 + 16970*p**2 = 0?
0, 3394
Find k such that -4*k**4 + 12*k**3 + 8*k**2 - 48*k + 32 = 0.
-2, 1, 2
Factor -m**4 - 11*m**3 - 10*m**2.
-m**2*(m + 1)*(m + 10)
Suppose 3*z**4 - 20*z**3 - 9*z**2 + 194*z - 120 = 0. What is z?
-3, 2/3, 4, 5
Solve 26*u**2/15 + 4*u/5 = 0 for u.
-6/13, 0
Factor -2*g**2/17 - 16*g - 536/17.
-2*(g + 2)*(g + 134)/17
Suppose -r**2/9 - 622*r/9 + 1045/3 = 0. What is r?
-627, 5
Solve -2*d**4/3 - 208*d**3/9 - 518*d**2/9 - 188*d/9 + 128/9 = 0.
-32, -2, -1, 1/3
Solve q**5 - 9*q**4 + 15*q**3 + 29*q**2 - 72*q + 36 = 0 for q.
-2, 1, 3, 6
Factor -14*w**3 - 304*w**2 - 206*w + 84.
-2*(w + 1)*(w + 21)*(7*w - 2)
Solve b**2 - 233*b = 0 for b.
0, 233
Find t, given that -2*t**2 + 54*t + 1376 = 0.
-16, 43
Let -3*m**3 - 2058*m**2 = 0. Calculate m.
-686, 0
Factor -5*g**2/3 + 290*g/3 + 4400.
-5*(g - 88)*(g + 30)/3
Factor -2*f**4/7 + 88*f**3/7 - 968*f**2/7.
-2*f**2*(f - 22)**2/7
Solve 3*v**3/5 - 81*v/5 - 162/5 = 0.
-3, 6
Suppose -5*q**3 - 40*q**2 + 100*q = 0. What is q?
-10, 0, 2
Factor k**3/3 - 279*k**2 - 559*k - 839/3.
(k - 839)*(k + 1)**2/3
Solve 4*m**4 + 84*m**3 + 396*m**2 - 484*m = 0 for m.
-11, 0, 1
Factor 2*f**5/11 - 2*f**4/11 - 16*f**3/11 + 24*f**2/11.
2*f**2*(f - 2)**2*(f + 3)/11
Factor -2*b**2/5 - 34*b/5.
-2*b*(b + 17)/5
Find j, given that -j**5 + 6*j**4 + 3*j**3 - 56*j**2 + 48*j = 0.
-3, 0, 1, 4
Factor 5*f**4 + 40*f**3 + 85*f**2 + 50*f.
5*f*(f + 1)*(f + 2)*(f + 5)
Solve 2*x**2/9 + 1108*x/9 + 153458/9 = 0.
-277
Find a such that 9*a**2 - 339*a - 840 = 0.
-7/3, 40
Factor x**2/6 - 17*x + 867/2.
(x - 51)**2/6
Suppose -3*z**3 + 189*z**2 - 366*z = 0. What is z?
0, 2, 61
Solve 2*j**2/5 + 8*j - 952/5 = 0.
-34, 14
What is j in -j**5/3 - 32*j**4/3 - 61*j**3 - 184*j**2/3 + 400*j/3 = 0?
-25, -4, 0, 1
Suppose -y**2/3 - 32*y/3 - 20 = 0. What is y?
-30, -2
What is x in -50*x**2/7 + 129*x - 54/7 = 0?
3/50, 18
Find c, given that -5*c**2/2 + 25*c + 60 = 0.
-2, 12
Find l, given that -4*l**5 + 328*l**4 - 6720*l**3 - 328*l**2 + 6724*l = 0.
-1, 0, 1, 41
Solve -55*s**5 - 265*s**4 + 50*s**3 + 1100*s**2 + 680*s - 160 = 0 for s.
-4, -2, -1, 2/11, 2
Solve k**5/3 + 3*k**4 = 0 for k.
-9, 0
What is i in -i**4 - 58*i**3 + 3*i**2 + 176*i + 116 = 0?
-58, -1, 2
What is k in -k**2/4 - 5*k/2 - 6 = 0?
-6, -4
Factor n**2/5 - 2752*n/5 + 1893376/5.
(n - 1376)**2/5
Suppose 4*g**3 + 571*g**2 + 3166*g + 2055 = 0. What is g?
-137, -5, -3/4
Factor -4*w**2 + 108*w.
-4*w*(w - 27)
Factor -3*w**5 + 18*w**3 - 24*w**2 + 9*w.
-3*w*(w - 1)**3*(w + 3)
Factor -v**2/6 - 40*v - 2400.
-(v + 120)**2/6
Determine n, given that -2*n**2/7 + 6*n + 144/7 = 0.
-3, 24
Let 5*a**4 - 160*a**3 + 710*a**2 - 960*a + 405 = 0. What is a?
1, 3, 27
Let -2*w**5/5 + 82*w**4/15 - 122*w**3/15 + 22*w**2/15 + 8*w/5 = 0. Calculate w.
-1/3, 0, 1, 12
Determine u, given that -4*u**5/15 + 26*u**4/15 + 232*u**3/15 - 386*u**2/15 + 44*u/5 = 0.
-6, 0, 1/2, 1, 11
Let -3*y**3 + 450*y**2 - 1761*y + 1314 = 0. Calculate y.
1, 3, 146
Find c such that -5*c**4 + 60*c**3 - 105*c**2 + 50*c = 0.
0, 1, 10
Factor -3*f**3 + 186*f**2 + 381*f + 192.
-3*(