ppose -18*a**5/7 - 12*a**4/7 + 18*a**3/7 + 12*a**2/7 = 0. Calculate a.
-1, -2/3, 0, 1
Factor 10*i**4 - 145*i**3 + 195*i**2.
5*i**2*(i - 13)*(2*i - 3)
What is a in -2*a**5 - 38*a**4 - 70*a**3 - 34*a**2 = 0?
-17, -1, 0
Factor -5*r**2 + 265*r.
-5*r*(r - 53)
Determine k, given that 2*k**3/3 = 0.
0
Factor -2*a**2/9 + 4*a - 18.
-2*(a - 9)**2/9
Factor -3*z**3/2 - 933*z**2/2 - 71121*z/2 + 221841/2.
-3*(z - 3)*(z + 157)**2/2
Factor -15*n**5/4 - 51*n**4/4 - 63*n**3/4 - 33*n**2/4 - 3*n/2.
-3*n*(n + 1)**3*(5*n + 2)/4
Factor i**3 + 3900*i**2 + 5070000*i + 2197000000.
(i + 1300)**3
Factor 2*j**4 - 16*j**3 + 14*j**2.
2*j**2*(j - 7)*(j - 1)
Solve 9*p**5/2 + 48*p**4 - 1835*p**3/2 + 4159*p**2 - 7280*p + 4400 = 0 for p.
-22, 5/3, 4
Factor -2*j**2/3 + 10*j + 144.
-2*(j - 24)*(j + 9)/3
Determine n so that -481*n**2/6 - n/3 = 0.
-2/481, 0
Find h such that -686*h**5 + 5684*h**4 + 4662*h**3 - 2228*h**2 - 376*h + 144 = 0.
-1, -2/7, 2/7, 9
Determine n so that -2*n**2/11 + 16*n + 178/11 = 0.
-1, 89
Factor y**2 - 11*y - 26.
(y - 13)*(y + 2)
Determine v, given that 3*v**3 - 10059*v**2 + 8426925*v + 8436987 = 0.
-1, 1677
Find k, given that -k**2 - 261*k = 0.
-261, 0
Determine w, given that 51*w**4 + 294*w**3 - 429*w**2 + 84*w = 0.
-7, 0, 4/17, 1
Let 11*t**3/4 - 57*t**2/4 + 5*t/2 = 0. Calculate t.
0, 2/11, 5
Solve k**4/4 - k**3 - 13*k**2/4 + k + 3 = 0 for k.
-2, -1, 1, 6
Find a such that 2*a**3/7 + 754*a**2/7 + 10416*a + 345960/7 = 0.
-186, -5
Factor 5*a**4 + 5*a**3 - 120*a**2 + 180*a.
5*a*(a - 3)*(a - 2)*(a + 6)
Solve -36*o**3/5 + 4*o**2 = 0.
0, 5/9
Determine a, given that a**4 + 19*a**3 - 21*a**2 - 19*a + 20 = 0.
-20, -1, 1
Find x, given that 2*x**5/9 + 14*x**4/9 + 4*x**3 + 40*x**2/9 + 16*x/9 = 0.
-2, -1, 0
Let y**2 - 41*y + 238 = 0. What is y?
7, 34
Determine z so that -36*z**3/5 - 52*z**2/5 + 56*z/5 + 32/5 = 0.
-2, -4/9, 1
Solve 4*z**2/3 + 296*z/3 = 0 for z.
-74, 0
Factor -q**3/2 - 3*q**2 + 19*q/2 + 12.
-(q - 3)*(q + 1)*(q + 8)/2
Let -3*t**3 - 333*t**2 + 3*t + 333 = 0. Calculate t.
-111, -1, 1
Find m such that m**2/4 - 270*m + 72900 = 0.
540
Factor 484*d**4/7 - 24992*d**3/7 + 407104*d**2/7 - 2181120*d/7 + 3686400/7.
4*(d - 4)**2*(11*d - 240)**2/7
What is f in 7*f**4 - 23*f**3 - 106*f**2 - 52*f + 24 = 0?
-2, -1, 2/7, 6
Solve -36*k**4 - 1380*k**3 - 13453*k**2 - 4370*k - 361 = 0.
-19, -1/6
Suppose -4*s**3 + 36*s**2 - 72*s = 0. Calculate s.
0, 3, 6
Let -45*z**4 + 467*z**3 + 304*z**2 + 44*z = 0. What is z?
-2/5, -2/9, 0, 11
Let 2*t**2/3 - 178*t/3 - 60 = 0. Calculate t.
-1, 90
Factor m**3/10 - 9*m**2/5 + 54*m/5 - 108/5.
(m - 6)**3/10
Factor -2*f**4/7 - 14*f**3 - 1150*f**2/7 + 1250*f/7.
-2*f*(f - 1)*(f + 25)**2/7
Find g, given that -g**2/2 - 785*g/2 = 0.
-785, 0
Solve 5*n**3 - 20*n**2 + 25*n - 10 = 0 for n.
1, 2
Factor -9*y**2/4 + 73*y/2 - 8.
-(y - 16)*(9*y - 2)/4
Factor -2*k**3/9 + 10360*k**2/9 - 13416200*k/9.
-2*k*(k - 2590)**2/9
Factor -2*r**2 + 76*r - 434.
-2*(r - 31)*(r - 7)
Suppose 2*r**4 - 10*r**3/3 - 154*r**2/9 - 22*r/3 + 40/9 = 0. Calculate r.
-5/3, -1, 1/3, 4
Factor -b**3/3 - 1847*b**2/3 - 853775*b/3 - 851929/3.
-(b + 1)*(b + 923)**2/3
Solve -260*x**2 + 1052*x + 168 = 0 for x.
-2/13, 21/5
Determine v so that -v**3/4 - 131*v**2/4 - 124*v + 381 = 0.
-127, -6, 2
Solve -2*p**4/7 + 142*p**3/7 + 590*p**2/7 + 746*p/7 + 300/7 = 0 for p.
-2, -1, 75
Factor 5*j**2 + 860*j.
5*j*(j + 172)
What is j in -2*j**4/7 - 36*j**3/7 - 66*j**2/7 - 32*j/7 = 0?
-16, -1, 0
Factor 49*h**2/3 - 15*h - 4/3.
(h - 1)*(49*h + 4)/3
Suppose -h**5/3 - 3*h**4 + 13*h**3/3 + 137*h**2/3 - 112*h + 196/3 = 0. Calculate h.
-7, 1, 2
Factor -2*y**4 - 374*y**3 - 15680*y**2 + 172872*y.
-2*y*(y - 9)*(y + 98)**2
Solve -2*s**2/17 - 134*s/17 + 8 = 0.
-68, 1
Find s such that 3*s**5/4 + 138*s**4 + 6723*s**3 + 64641*s**2/2 - 584463*s/4 + 213867/2 = 0.
-89, -9, 1, 2
Factor 2*i**3/5 - 171*i**2/5 - 263*i/5 + 174/5.
(i - 87)*(i + 2)*(2*i - 1)/5
Factor -64*z**4 + 80*z**3 + 87*z**2 + 18*z.
-z*(z - 2)*(8*z + 3)**2
Factor 2*a**5 - 12*a**4 - 2*a**3 + 12*a**2.
2*a**2*(a - 6)*(a - 1)*(a + 1)
What is t in -4*t**5/5 - 4*t**4 + 124*t**3/5 + 116*t**2/5 - 792*t/5 + 576/5 = 0?
-8, -3, 1, 2, 3
Find o such that -o**4/3 + 13*o**3/3 - 55*o**2/3 + 25*o = 0.
0, 3, 5
Let -5*r**4 - 10*r**3 + 5*r**2 + 10*r = 0. What is r?
-2, -1, 0, 1
Let n**5 + 14*n**4 + 10*n**3 - 40*n**2 - 11*n + 26 = 0. Calculate n.
-13, -2, -1, 1
Suppose 9*n**5/5 + 15*n**4 + 87*n**3/5 + 21*n**2/5 = 0. What is n?
-7, -1, -1/3, 0
Suppose -w**3/3 + 7*w**2/3 + 2*w - 24 = 0. Calculate w.
-3, 4, 6
Let -3*g**3/4 - 123*g**2/2 - 234*g = 0. What is g?
-78, -4, 0
Find o, given that 4*o**5 - 260*o**4 + 4588*o**3 - 11532*o**2 = 0.
0, 3, 31
Factor -p**4 + 149*p**3 - 8190*p**2 + 195804*p - 1704024.
-(p - 42)**3*(p - 23)
Suppose 1300*h**3 + 1308*h**2 + 8*h = 0. What is h?
-1, -2/325, 0
Solve 27*s**4 + 234*s**3 + 147*s**2 + 24*s = 0 for s.
-8, -1/3, 0
Solve 3*i**2/7 + 135*i/7 - 282/7 = 0 for i.
-47, 2
Factor -2*z**4/3 - 14*z**3/3 - 32*z**2/3 - 8*z.
-2*z*(z + 2)**2*(z + 3)/3
Find d, given that d**4 + 7*d**3 - 14*d**2 - 48*d = 0.
-8, -2, 0, 3
Factor 4*i**4 + 4*i**3 - 8*i**2.
4*i**2*(i - 1)*(i + 2)
Factor -u**4/5 + 8*u**3/5 - 3*u**2.
-u**2*(u - 5)*(u - 3)/5
Suppose -2*y**5 + 32*y**4 - 82*y**3 + 52*y**2 = 0. Calculate y.
0, 1, 2, 13
Factor 5*t**3 + 20*t**2 - 140*t + 160.
5*(t - 2)**2*(t + 8)
Let 3*k**3 - 135*k**2 + 261*k - 129 = 0. Calculate k.
1, 43
Factor 4*r**2 - 168*r.
4*r*(r - 42)
Factor 423*r**3 + 1689*r**2 + 1680*r - 12.
3*(r + 2)**2*(141*r - 1)
Factor -4*o**3 + 9412*o**2 + 18836*o + 9420.
-4*(o - 2355)*(o + 1)**2
Factor 2000*o**3 + 600*o**2 + 60*o + 2.
2*(10*o + 1)**3
Solve 3*k**3/5 + 33*k**2/5 - 48*k = 0 for k.
-16, 0, 5
Factor -j**2 + j + 30.
-(j - 6)*(j + 5)
Factor -p**5/7 - 5*p**4 - 355*p**3/7 - 865*p**2/7 - 800*p/7 - 256/7.
-(p + 1)**3*(p + 16)**2/7
Factor -t**2/11 + 450*t/11.
-t*(t - 450)/11
Factor -9*o**2 + 582*o - 384.
-3*(o - 64)*(3*o - 2)
Factor 2*x**3/7 - 8*x**2/7 + 2*x/7 + 12/7.
2*(x - 3)*(x - 2)*(x + 1)/7
Solve v**3 + 92*v**2 - 1212*v + 3744 = 0 for v.
-104, 6
Solve -5*x**2 + 25*x - 30 = 0 for x.
2, 3
Let -2*t**4/3 + 16*t**2 + 128*t/3 + 32 = 0. What is t?
-2, 6
Factor 2*y**2 + 68*y + 578.
2*(y + 17)**2
Let 4*w**4 + 32*w**3 - 4*w**2 - 32*w = 0. What is w?
-8, -1, 0, 1
Let -4*v**4 - 144*v**3 - 116*v**2 + 840*v = 0. Calculate v.
-35, -3, 0, 2
Factor 2*x**4/5 + 576*x**3/5 + 62208*x**2/5 + 2985984*x/5 + 53747712/5.
2*(x + 72)**4/5
Find f such that 2*f**2/9 - 106*f/9 - 236/3 = 0.
-6, 59
Factor 4*k**3 - 168*k**2 + 1920*k - 3200.
4*(k - 20)**2*(k - 2)
Determine i, given that -2*i**4/7 - 22*i**3/7 + 2*i**2/7 + 22*i/7 = 0.
-11, -1, 0, 1
Suppose 3*k**3 + 6*k**2 - 3*k - 6 = 0. Calculate k.
-2, -1, 1
Suppose -5*p**5 + 120*p**3 - 310*p**2 + 285*p - 90 = 0. What is p?
-6, 1, 3
Factor -3*y**2 + 534*y - 23763.
-3*(y - 89)**2
Factor -2*o**3/11 + 42*o**2/11 + 48*o/11 - 8.
-2*(o - 22)*(o - 1)*(o + 2)/11
Let k**4/4 + 478*k**3 + 342726*k**2 + 109215352*k + 13051234564 = 0. Calculate k.
-478
Find n such that 9*n**5 + 70*n**4 + 191*n**3 + 206*n**2 + 52*n - 24 = 0.
-3, -2, -1, 2/9
Find c, given that c**3/3 - 1166*c**2/3 - c/3 + 1166/3 = 0.
-1, 1, 1166
Factor 2*b**4/3 + 2*b**3 + 2*b**2 + 2*b/3.
2*b*(b + 1)**3/3
Factor -2*b**4/3 - 2800*b**3/3 - 490000*b**2 - 343000000*b/3 - 30012500000/3.
-2*(b + 350)**4/3
Factor -3*q**4/5 - 51*q**3/5 + 114*q**2/5.
-3*q**2*(q - 2)*(q + 19)/5
Factor -36*w**3 - 84*w**2 + 68*w - 12.
-4*(w + 3)*(3*w - 1)**2
Solve -2*j**2/3 + 1608*j - 969624 = 0.
1206
Factor 3*i**4 - 15*i**3 - 6*i**2 + 72*i.
3*i*(i - 4)*(i - 3)*(i + 2)
Factor 3*f**2/7 + 180*f/7 - 975/7.
3*(f - 5)*(f + 65)/7
Determine p so that -p**5/2 + 247*p**4 - 4873*p**3/2 + 8006*p**2 - 9688*p + 3872 = 0.
1, 4, 484
Factor q**2/8 + 83*q/2 + 987/8.
(q + 3)*(q + 329)/8
Let -2*x**2 + 40*x - 102 = 0. Calculate x.
3, 17
Determine b so that 2*b**5/7 + 10*b**4 + 572*b**3/7 - 792*b**2/7 - 1296*b/7 = 0.
-18, -1, 0, 2
Factor 3*r**5/7 - 39*r**4/7 + 162*r**3/7 - 276*r**2/7 + 24*r.
3*r*(r - 7)*(r - 2)**3/7
Factor -2*u**2/5 + 2*u/5.
-2*u*(u - 1)/5
Find j, given that 2*j**3 + 30*j**2 - 104*j + 72 = 0.
-18, 1, 2
Factor 4*w**3/3 + 7*w**2 - 17*w - 14/3.
(w - 2)*(w + 7)*(4*w + 1)/3
Suppose t**2 + 5*t - 6 = 0. What is t?
-6, 1
Suppose 3*i**3 + 168*i**2 + 1644*i + 2640 = 0. What is i?
-44, -10, -2
Solve -2*w**4/5 + 2*w**3 + 4*w**2/5 - 48