 + 24 = 0.
2/31, 3
Determine i, given that 3*i**4 + 63*i**3 + 171*i**2 + 165*i + 54 = 0.
-18, -1
Determine x, given that -3*x**2/7 - 2703*x/7 + 774 = 0.
-903, 2
Factor -4*c**2 - 680*c.
-4*c*(c + 170)
Determine r, given that -r**3/2 - 9*r**2 + 135*r/2 + 1350 = 0.
-15, 12
Factor -2*y**3/13 - 14*y**2/13 + 320*y/13 + 200.
-2*(y - 13)*(y + 10)**2/13
Factor 3*j**5/7 - 18*j**4/7 + 24*j**3/7 + 48*j**2/7 - 144*j/7 + 96/7.
3*(j - 2)**4*(j + 2)/7
Determine u so that u**5 + 9*u**4 - 13*u**3 - 249*u**2 - 288*u + 540 = 0.
-6, -3, 1, 5
Factor 198*w**3 + 184*w**2 - 18*w - 4.
2*(w + 1)*(9*w + 1)*(11*w - 2)
Factor -2*j**3/15 - 122*j**2/15 - 776*j/15 - 72.
-2*(j + 2)*(j + 5)*(j + 54)/15
What is y in -3*y**5/2 + 3*y**4/2 + 6*y**3 - 6*y**2 = 0?
-2, 0, 1, 2
Determine h so that -3*h**3 - 381*h**2 + 390*h + 768 = 0.
-128, -1, 2
Determine x, given that 27*x**4 - 51*x**3 - 3*x**2 + 51*x - 24 = 0.
-1, 8/9, 1
Factor -2*t**3 - 24*t**2 - 58*t - 36.
-2*(t + 1)*(t + 2)*(t + 9)
Factor 2*q**4 - 6*q**3 + 6*q**2 - 2*q.
2*q*(q - 1)**3
Determine m so that 16*m**3/9 - 34*m**2/3 + 131*m/9 + 2 = 0.
-1/8, 2, 9/2
What is u in -u**5 + 4*u**4 + 60*u**3 = 0?
-6, 0, 10
Determine p, given that -3*p**4/5 - 42*p**3/5 = 0.
-14, 0
Factor -5*m**5 - 45*m**4 + 105*m**3 - 55*m**2.
-5*m**2*(m - 1)**2*(m + 11)
Factor -3*s**3 - 57*s**2 - 48*s + 108.
-3*(s - 1)*(s + 2)*(s + 18)
Factor -5*g**4 + 5*g**3 + 15*g**2 - 5*g - 10.
-5*(g - 2)*(g - 1)*(g + 1)**2
Solve -4*d**5/3 + 70*d**4/3 - 332*d**3/3 - 88*d**2/3 + 784*d + 384 = 0.
-2, -1/2, 6, 8
Determine w, given that 25*w**3 + 895*w**2 + 1520*w - 340 = 0.
-34, -2, 1/5
What is q in 4*q**5/7 + 32*q**4/7 - 192*q**3/7 + 64*q**2/7 + 704*q/7 - 768/7 = 0?
-12, -2, 2
Find x, given that -3*x**3 + 30*x**2 - 69*x + 42 = 0.
1, 2, 7
Factor -v**2/4 + 2419*v/4 - 1209/2.
-(v - 2418)*(v - 1)/4
Solve -k**5 + 28*k**4 - 195*k**3 - 28*k**2 + 196*k = 0 for k.
-1, 0, 1, 14
Factor -10*o**2 + 86*o + 264.
-2*(o - 11)*(5*o + 12)
Factor 27*r**2/2 + 111*r/2 + 42.
3*(r + 1)*(9*r + 28)/2
Determine u, given that -4*u**4/3 - 88*u**3/3 - 220*u**2 - 624*u - 432 = 0.
-9, -6, -1
Factor -4*j**2 - 12*j - 8.
-4*(j + 1)*(j + 2)
Find t such that -2*t**2/7 - 96*t/7 + 14 = 0.
-49, 1
Factor -4*f**4 + 1248*f**3 - 3720*f**2 + 3712*f - 1236.
-4*(f - 309)*(f - 1)**3
Factor 2187*t**5/5 - 5832*t**4 + 17415*t**3 + 13386*t**2 + 3108*t + 1176/5.
3*(t - 7)**2*(9*t + 2)**3/5
Factor -8*y**3 + 176*y**2 + 182*y + 46.
-2*(y - 23)*(2*y + 1)**2
Factor 3*j**2/8 + 51*j + 1734.
3*(j + 68)**2/8
Factor -2*t**3 - 50*t**2 - 366*t - 702.
-2*(t + 3)*(t + 9)*(t + 13)
Factor -5*f**2 - 250*f.
-5*f*(f + 50)
Factor 26*i**3 + 40*i**2 + 14*i.
2*i*(i + 1)*(13*i + 7)
Factor k**5 + 21*k**4 + 54*k**3 - 4*k**2 - 72*k.
k*(k - 1)*(k + 2)**2*(k + 18)
Factor -2*s**2 - 52*s + 54.
-2*(s - 1)*(s + 27)
Factor t**2/2 - 29*t - 59/2.
(t - 59)*(t + 1)/2
Solve 4*s**2/3 + 4900*s/3 - 4904/3 = 0.
-1226, 1
Find t such that -14*t**5 - 564*t**4/5 - 1152*t**3/5 - 64*t**2/5 = 0.
-4, -2/35, 0
Find p such that -6*p**4 - 40*p**3 - 78*p**2 - 36*p = 0.
-3, -2/3, 0
Factor 12*n**4 - 32*n**3 - 32*n**2 + 128*n - 64.
4*(n - 2)**2*(n + 2)*(3*n - 2)
Factor 5*w**3 - 12225*w**2 + 9963375*w - 2706716875.
5*(w - 815)**3
Factor f**3 + 159*f**2 + 314*f.
f*(f + 2)*(f + 157)
Solve 4*v**4/3 + 56*v**3/3 + 157*v**2/3 - 115*v - 150 = 0.
-15/2, -1, 2
Let 3*r**3 - 7326*r**2 + 4472523*r = 0. Calculate r.
0, 1221
Solve -j**2 + 493*j - 2922 = 0 for j.
6, 487
Factor 2*t**2/7 + 36*t/7 + 162/7.
2*(t + 9)**2/7
Suppose o**3/3 + 218*o**2/3 + 11881*o/3 = 0. What is o?
-109, 0
Suppose -5*y**4 + 625*y**3 - 19830*y**2 + 17980*y + 38440 = 0. What is y?
-1, 2, 62
Suppose -2*c**2 - 186*c = 0. Calculate c.
-93, 0
Factor -10000*c**3 + 400*c**2 - 4*c.
-4*c*(50*c - 1)**2
Factor 3*a**2 - 459*a - 4890.
3*(a - 163)*(a + 10)
Let -x**2/6 + 5*x/3 + 299/6 = 0. What is x?
-13, 23
Solve -a**4 - 8*a**3 - 18*a**2 + 27 = 0 for a.
-3, 1
Factor -26*h**2/3 - 484*h/3 + 240.
-2*(h + 20)*(13*h - 18)/3
What is p in p**3 - 55*p**2 - 232*p - 236 = 0?
-2, 59
What is u in -4*u**4 - 28*u**3 = 0?
-7, 0
Let -2*g**2/9 - 19636*g/9 - 48196562/9 = 0. Calculate g.
-4909
Factor 3*i**2 + 3*i.
3*i*(i + 1)
Solve f**4 + 3*f**3 - 3*f**2 - 7*f + 6 = 0.
-3, -2, 1
Suppose -2*z**3/5 + 16*z**2/5 + 8*z = 0. What is z?
-2, 0, 10
Factor 2*p**3 + 14*p**2 - 82*p + 66.
2*(p - 3)*(p - 1)*(p + 11)
Factor 2*s**2/9 - 388*s/9 - 130/3.
2*(s - 195)*(s + 1)/9
Factor 20*b**5 + 144*b**4 + 328*b**3 + 320*b**2 + 132*b + 16.
4*(b + 1)**3*(b + 4)*(5*b + 1)
Factor -3*i**3/7 + 1891*i**2/7 - 2517*i/7 + 629/7.
-(i - 629)*(i - 1)*(3*i - 1)/7
Factor -7*y**2 + 870*y - 248.
-(y - 124)*(7*y - 2)
Determine d, given that 4*d**2 - 132*d - 280 = 0.
-2, 35
Factor -35*m**5 - 4840*m**4 - 168015*m**3 - 47610*m**2.
-5*m**2*(m + 69)**2*(7*m + 2)
Factor -g**4/2 + 220*g**3 - 23756*g**2 - 97680*g - 98568.
-(g - 222)**2*(g + 2)**2/2
Let -a**2 + 12100*a - 36602500 = 0. Calculate a.
6050
What is r in -r**4 - 181*r**3/2 - 306*r**2 - 261*r/2 = 0?
-87, -3, -1/2, 0
What is h in h**5/3 + 62*h**4/3 + 1192*h**3/3 + 5104*h**2/3 - 36784*h/3 + 42592/3 = 0?
-22, 2
Let 5*q**5 - 50*q**4 - 70*q**3 + 160*q**2 + 65*q - 110 = 0. What is q?
-2, -1, 1, 11
Factor 13*m**4 - 28*m**3 + 4*m**2.
m**2*(m - 2)*(13*m - 2)
Factor v**3/10 + 232*v**2/5 - 1401*v/10.
v*(v - 3)*(v + 467)/10
Factor -2*s**2/13 - 6*s/13 + 56/13.
-2*(s - 4)*(s + 7)/13
What is y in -4*y**2/3 - 4*y = 0?
-3, 0
Factor -3*h**4 - 15*h**3 - 12*h**2.
-3*h**2*(h + 1)*(h + 4)
Factor -2*d**4/17 + 4*d**3/17 + 6*d**2/17.
-2*d**2*(d - 3)*(d + 1)/17
What is c in -2*c**3 + 10*c**2 + 34*c - 42 = 0?
-3, 1, 7
Determine v so that -24*v**2 - 20*v + 44 = 0.
-11/6, 1
Determine x, given that -x**4/3 - 40*x**3/3 = 0.
-40, 0
Determine p, given that -3*p**2/4 + 855*p - 243675 = 0.
570
Factor 2*n**4 - 364*n**3 + 22242*n**2 - 516880*n + 4032800.
2*(n - 71)**2*(n - 20)**2
Factor 5*f**3/4 - 45*f**2/2 + 135*f - 270.
5*(f - 6)**3/4
Factor 2*s**2/13 - 514*s/13 - 1036/13.
2*(s - 259)*(s + 2)/13
Let -b**5/7 + 6*b**4/7 + 17*b**3/7 - 6*b**2/7 - 16*b/7 = 0. Calculate b.
-2, -1, 0, 1, 8
Factor 4*o**2 - 92*o - 312.
4*(o - 26)*(o + 3)
Factor -2*o**2/5 - 352*o/5 + 354/5.
-2*(o - 1)*(o + 177)/5
Factor 2*o**2 + 340*o + 14450.
2*(o + 85)**2
Factor -3*p**4 - 30*p**3 - 81*p**2 - 54*p.
-3*p*(p + 1)*(p + 3)*(p + 6)
Factor -j**2 + 5*j + 6.
-(j - 6)*(j + 1)
Factor 2*y**3 + 52*y**2 - 2*y - 52.
2*(y - 1)*(y + 1)*(y + 26)
Factor x**4/5 + 7*x**3/5 + 14*x**2/5 + 8*x/5.
x*(x + 1)*(x + 2)*(x + 4)/5
Suppose 2*p**3 + 46*p**2 + 112*p - 1960 = 0. What is p?
-14, 5
Solve -6*t**5/11 - 222*t**4/11 - 2676*t**3/11 - 11460*t**2/11 - 15750*t/11 - 6750/11 = 0.
-15, -5, -1
Factor -38809*v**2/4 + 591*v - 9.
-(197*v - 6)**2/4
Determine u, given that -u**5/3 - 10*u**4 + u**3/3 + 10*u**2 = 0.
-30, -1, 0, 1
Factor g**5/6 - g**4/2 + g**3/3.
g**3*(g - 2)*(g - 1)/6
Factor 4*r**4 - 64*r**3 + 288*r**2 - 512*r + 320.
4*(r - 10)*(r - 2)**3
Let -2*m**3/7 - 2770*m**2/7 + 2776*m/7 + 792 = 0. What is m?
-1386, -1, 2
Find z such that -3*z**3 + 24*z**2 + 33*z - 54 = 0.
-2, 1, 9
Solve -3*t**4 + 63*t**3 - 405*t**2 + 729*t = 0 for t.
0, 3, 9
Factor -j**5 + 4*j**4 + 2*j**3 - 8*j**2 - j + 4.
-(j - 4)*(j - 1)**2*(j + 1)**2
Let -2*v**2/3 - 1174*v/9 + 392/9 = 0. Calculate v.
-196, 1/3
Determine n so that n**5 - 29*n**4 + 156*n**3 + 884*n**2 - 640*n - 3072 = 0.
-3, -2, 2, 16
Factor 3*x**2 + 90*x + 312.
3*(x + 4)*(x + 26)
Suppose l**4 - 3*l**3 - 4*l**2 = 0. What is l?
-1, 0, 4
Suppose 3*w**5/7 - 36*w**4/7 + 57*w**3/7 + 36*w**2/7 - 60*w/7 = 0. What is w?
-1, 0, 1, 2, 10
Factor -2*j**2/11 + 6*j/11 + 108/11.
-2*(j - 9)*(j + 6)/11
Factor -65*n**4/7 - 132*n**3/7 - 4*n**2/7.
-n**2*(n + 2)*(65*n + 2)/7
Factor -4*j**4 - 4*j**3 + 4*j**2 + 4*j.
-4*j*(j - 1)*(j + 1)**2
Solve -2*h**4/11 - 32*h**3/11 + 556*h**2/11 - 1008*h/11 + 486/11 = 0 for h.
-27, 1, 9
Solve z**4/6 - 7*z**3/6 - z**2/6 + 7*z/6 = 0 for z.
-1, 0, 1, 7
Let -4*c**3/9 + 172*c**2/3 + 356*c + 540 = 0. What is c?
-3, 135
Factor 2*s**2/7 - 32*s/7 - 72/7.
2*(s - 18)*(s + 2)/7
Determine g so that -2*g**2/11 - 2348*g/11 - 689138/11 = 0.
-587
Factor -3*q**2 + 19320*q - 31105200.
-3*(q - 3220)**2
Suppose 2*z**2/5 + 22*z/5 - 24 = 0. Calculate z.
-15, 4
What is h in 2*h**4/7 + 58*h**3/7 + 256*h**2/7 + 56*h + 192/7 = 0?
-24, -2, -1
Solve s**3 + 76*s**2 + 149*s + 74 = 0 for s.
-74, -1
Find m such th