*(u + 3)**2*(u + 413)/9
Let x**3 - 1128*x**2 + 424128*x - 53157376 = 0. Calculate x.
376
Factor -2*v**5 - 10*v**4 - 16*v**3 - 8*v**2.
-2*v**2*(v + 1)*(v + 2)**2
Factor -4*p**3 - 4*p**2 + 16*p + 16.
-4*(p - 2)*(p + 1)*(p + 2)
Let 4*w**2 - 8*w - 60 = 0. Calculate w.
-3, 5
Suppose 4*b**5 + 32*b**4 + 48*b**3 - 8*b**2 - 52*b - 24 = 0. What is b?
-6, -1, 1
Let -i**3/11 + 31*i**2/11 - 103*i/11 - 135/11 = 0. What is i?
-1, 5, 27
What is y in y**2/4 + y/2 - 2 = 0?
-4, 2
Factor -2*c**3/5 + 16*c**2/5 - 32*c/5.
-2*c*(c - 4)**2/5
Let -11*y**4 - 247*y**3 + 138*y**2 = 0. Calculate y.
-23, 0, 6/11
Factor -2*p**3/5 + 241*p**2/5 + 877*p/5 - 1116/5.
-(p - 124)*(p - 1)*(2*p + 9)/5
What is i in -i**2/9 - 1042*i/9 - 347/3 = 0?
-1041, -1
Find c such that -5*c**5 - 175*c**4 + 365*c**3 - 185*c**2 = 0.
-37, 0, 1
Determine n so that -2*n**3 + 8*n**2 + 64*n = 0.
-4, 0, 8
Factor 3*d**2/5 + 3*d/5.
3*d*(d + 1)/5
Factor 4*d**2 - 6712*d + 2815684.
4*(d - 839)**2
Factor -f**3/2 + 19*f**2/2 + 10*f.
-f*(f - 20)*(f + 1)/2
Factor 5*k**2 - 185*k + 1500.
5*(k - 25)*(k - 12)
Let s**5 + 4*s**4 - 8*s**3 - 10*s**2 + 23*s - 10 = 0. What is s?
-5, -2, 1
What is n in -n**3 + 196*n**2 + 796*n + 800 = 0?
-2, 200
Solve -3*s**2/5 + 1158*s - 558735 = 0 for s.
965
Factor u**4/2 + u**3/2 - 4*u**2 - 6*u.
u*(u - 3)*(u + 2)**2/2
Factor -m**2/5 - 8*m/5 + 9/5.
-(m - 1)*(m + 9)/5
Find a, given that -2*a**3/9 - 1342*a**2/9 - 5344*a/9 - 5336/9 = 0.
-667, -2
Factor 4*v**2/7 - 12*v/7 - 40.
4*(v - 10)*(v + 7)/7
Factor 3*r**3 - 1899*r**2 + 400689*r - 28181793.
3*(r - 211)**3
Suppose -12*f**3 + 44*f**2 - 40*f = 0. Calculate f.
0, 5/3, 2
Factor 2*u**2/5 + 2034*u/5.
2*u*(u + 1017)/5
Let -206*c**3/13 + 188*c**2/13 + 18*c/13 = 0. Calculate c.
-9/103, 0, 1
Solve 5*j**2/4 + 735*j/4 - 185 = 0.
-148, 1
Let 6*b**4/7 - 62*b**3/7 - 1154*b**2/7 - 3890*b/7 - 300 = 0. Calculate b.
-5, -2/3, 21
Find y, given that 3*y**3 + 27*y**2 + 24*y = 0.
-8, -1, 0
What is x in x**2/6 + 1055*x/2 = 0?
-3165, 0
Suppose -28*z**3/9 - 26*z**2/9 + 8*z/9 + 2/3 = 0. What is z?
-1, -3/7, 1/2
Factor 4*z**5 - 592*z**4 + 2884*z**3 - 3416*z**2 - 2320*z + 4576.
4*(z - 143)*(z - 2)**3*(z + 1)
Determine r, given that 5*r**4 - 135*r**3 + 590*r**2 - 900*r + 440 = 0.
1, 2, 22
Factor -5*h**4 + 65*h**3 - 285*h**2 + 475*h - 250.
-5*(h - 5)**2*(h - 2)*(h - 1)
Let -a**5/4 + 13*a**4/4 - 43*a**3/4 + 15*a**2/4 + 18*a = 0. What is a?
-1, 0, 3, 8
Factor -2*n**2/7 - 82*n.
-2*n*(n + 287)/7
Let -2*d**2 + 11924*d - 17772722 = 0. What is d?
2981
Factor -5*o**5 - 145*o**4 - 1250*o**3 - 2930*o**2 - 2665*o - 845.
-5*(o + 1)**3*(o + 13)**2
Find q, given that 147*q**4 - 2268*q**3 + 4401*q**2 + 3084*q + 468 = 0.
-2/7, 3, 13
Factor -3*b**3/2 + 9*b**2/2 - 3*b.
-3*b*(b - 2)*(b - 1)/2
Solve m**5/5 + 32*m**4/5 - 6*m**3/5 - 184*m**2/5 + 253*m/5 - 96/5 = 0 for m.
-32, -3, 1
Factor -2*n**3/3 + 124*n**2/3 - 680*n + 1200.
-2*(n - 30)**2*(n - 2)/3
Factor -2*r**2/5 - 174*r/5.
-2*r*(r + 87)/5
Factor r**2/4 + 20*r - 81/4.
(r - 1)*(r + 81)/4
Suppose u**4/7 + 22*u**3/7 - 75*u**2/7 + 4*u/7 + 100/7 = 0. What is u?
-25, -1, 2
Determine k, given that -4*k**4 - 32*k**3 - 8*k**2 + 128*k - 84 = 0.
-7, -3, 1
Suppose b**4/3 + 20*b**3 + 899*b**2/3 - 20*b - 300 = 0. Calculate b.
-30, -1, 1
Let -2*r**4 + 80*r**3 + 1124*r**2 - 80*r - 1122 = 0. What is r?
-11, -1, 1, 51
Suppose 5*u**3 - 145*u**2 + 520*u - 500 = 0. What is u?
2, 25
Factor -3*i**5/4 - 3*i**4/4 + 9*i**3/4 + 15*i**2/4 + 3*i/2.
-3*i*(i - 2)*(i + 1)**3/4
Suppose -2*s**5/9 + 14*s**4/9 + 14*s**3/3 - 46*s**2/9 - 80*s/9 + 8 = 0. What is s?
-2, 1, 9
Find w such that -242*w**3 + 16610*w**2 - 293136*w + 276768 = 0.
1, 372/11
Determine o, given that o**2/2 + 15*o = 0.
-30, 0
Suppose p**2/4 + 401*p - 1605/4 = 0. Calculate p.
-1605, 1
Let 3*v**5/4 + 18*v**4 + 573*v**3/4 + 366*v**2 - 144*v - 384 = 0. What is v?
-8, -1, 1
Factor b**2 + 128*b - 804.
(b - 6)*(b + 134)
Suppose u**4/6 + 5*u**3/2 + 12*u**2 + 56*u/3 = 0. What is u?
-7, -4, 0
Suppose 2*x**5/7 + 78*x**4/7 - 8*x**3/7 - 312*x**2/7 = 0. What is x?
-39, -2, 0, 2
Factor 5*r**3 - 160*r**2 - 165*r.
5*r*(r - 33)*(r + 1)
Factor -39*h**2 + 285*h - 450.
-3*(h - 5)*(13*h - 30)
Solve 2*i**3/13 - 4040*i**2/13 + 8074*i/13 - 4036/13 = 0.
1, 2018
Solve -f**5/11 + f**4/11 + 41*f**3/11 + 107*f**2/11 + 100*f/11 + 32/11 = 0.
-4, -1, 8
Determine t so that 8*t**5/9 + 142*t**4/9 - 2204*t**3/9 + 2558*t**2/9 - 56*t = 0.
-28, 0, 1/4, 1, 9
Factor -2*k**2/9 - 164*k/9.
-2*k*(k + 82)/9
Factor d**2/6 - 7*d/3 + 49/6.
(d - 7)**2/6
Factor h**4/7 + 12*h**3/7 + 41*h**2/7 + 6*h.
h*(h + 2)*(h + 3)*(h + 7)/7
Factor -n**4 - 74*n**3 + 468*n**2 - 952*n + 640.
-(n - 2)**3*(n + 80)
Solve -5*j**5 + 75*j**4 - 315*j**3 + 425*j**2 - 180*j = 0.
0, 1, 4, 9
Suppose 14*v**3 - 4*v**2 - 34*v + 24 = 0. What is v?
-12/7, 1
Solve -6*t**3/7 + 38*t**2/7 - 32*t/7 - 40/7 = 0 for t.
-2/3, 2, 5
Factor 5*z**2 - 2450*z + 300125.
5*(z - 245)**2
Solve -u**2/8 - 3*u - 63/8 = 0 for u.
-21, -3
Suppose 2*m**5/15 - 388*m**4/15 + 6008*m**3/5 + 5148*m**2 + 19602*m/5 = 0. What is m?
-3, -1, 0, 99
Solve 24*y**4/5 - 82*y**3/5 - 54*y**2/5 - 8*y/5 = 0.
-1/3, -1/4, 0, 4
Factor 2*t**3 - 74*t**2 - 2938*t - 21294.
2*(t - 63)*(t + 13)**2
What is q in -5*q**5 - 215*q**4 + 15*q**3 + 635*q**2 - 430*q = 0?
-43, -2, 0, 1
Factor 6*g**2 - 83*g - 190.
(g + 2)*(6*g - 95)
Factor 5*h**3/4 + 105*h**2/4 - 5*h/4 - 105/4.
5*(h - 1)*(h + 1)*(h + 21)/4
Factor 5*j**3 + 275*j**2 + 3640*j - 3920.
5*(j - 1)*(j + 28)**2
Let -5*v**5 - 10*v**4 + 5*v**3 + 10*v**2 = 0. What is v?
-2, -1, 0, 1
Factor z**3/3 + 8*z**2/3 + 3*z - 6.
(z - 1)*(z + 3)*(z + 6)/3
Factor 98*k**4/9 - 868*k**3/3 + 488*k**2/3 - 208*k/9.
2*k*(k - 26)*(7*k - 2)**2/9
Factor 2*b**5 + 6*b**4 - 8*b**3 - 32*b**2 + 32.
2*(b - 2)*(b - 1)*(b + 2)**3
Determine p, given that 4*p**5 + 480*p**4 + 13408*p**3 - 59520*p**2 + 61504*p = 0.
-62, 0, 2
What is n in n**3 - 44*n**2 - 197*n + 240 = 0?
-5, 1, 48
Factor s**4 + 86*s**3 + 2229*s**2 + 16340*s + 36100.
(s + 5)**2*(s + 38)**2
Solve -2*m**4/9 - 52*m**3/3 - 3040*m**2/9 + 52*m/3 + 338 = 0 for m.
-39, -1, 1
Factor 4*a**2 + 60*a + 56.
4*(a + 1)*(a + 14)
Determine d, given that -3*d**2 - 51*d - 48 = 0.
-16, -1
Factor 14*q**4 + 52*q**3 + 54*q**2 + 8*q - 8.
2*(q + 1)**2*(q + 2)*(7*q - 2)
Factor j**4 + 11*j**3 - 12*j**2.
j**2*(j - 1)*(j + 12)
Factor 3*g**4/4 + 21*g**3/4 + 45*g**2/4 + 27*g/4.
3*g*(g + 1)*(g + 3)**2/4
Factor -2*m**5/3 + 10*m**4/3 - 16*m**3/3 + 8*m**2/3.
-2*m**2*(m - 2)**2*(m - 1)/3
Let 2*i**5 - 54*i**4 - 244*i**3 - 132*i**2 + 242*i + 186 = 0. What is i?
-3, -1, 1, 31
Factor -4*l**2 + 1088*l + 2192.
-4*(l - 274)*(l + 2)
Factor -5*x**2 + 4620*x - 9220.
-5*(x - 922)*(x - 2)
Let 2*r**2 + 1388*r + 240818 = 0. Calculate r.
-347
Factor -3*x**3/2 + 33*x**2 - 351*x/2 + 270.
-3*(x - 15)*(x - 4)*(x - 3)/2
Factor 1509853125*r**5/2 - 274518750*r**4 + 39930000*r**3 - 2904000*r**2 + 105600*r - 1536.
3*(55*r - 4)**5/2
Factor -2*s**5/9 + 4*s**4 + 40*s**3/3 + 124*s**2/9 + 14*s/3.
-2*s*(s - 21)*(s + 1)**3/9
Factor -2*f**5/13 - 6*f**4/13.
-2*f**4*(f + 3)/13
Find u such that 1156*u**5 + 6664*u**4 + 4164*u**3 - 1264*u**2 + 80*u = 0.
-5, -1, 0, 2/17
Let -t**4/2 + 7*t**3/5 + t**2/2 - 7*t/5 = 0. What is t?
-1, 0, 1, 14/5
Factor -3*j**4 + 9*j**3 + 66*j**2 - 72*j.
-3*j*(j - 6)*(j - 1)*(j + 4)
Determine d, given that 3*d**5 - 39*d**4 + 99*d**3 - 93*d**2 + 30*d = 0.
0, 1, 10
Let -12996*c**4/7 + 52896*c**3/7 - 42652*c**2/7 + 400*c - 48/7 = 0. What is c?
2/57, 1, 3
Determine i, given that -i**4/7 - 12*i**3/7 - 19*i**2/7 + 12*i/7 + 20/7 = 0.
-10, -2, -1, 1
Solve 385*q**2 - 1160*q + 15 = 0.
1/77, 3
Solve 3*t**3/4 - 471*t**2/4 + 19173*t/4 - 53361/4 = 0.
3, 77
Factor 3*c**2 - 12*c - 231.
3*(c - 11)*(c + 7)
Factor -t**4/4 + 91*t**3/4 - 2115*t**2/4 + 2025*t/4.
-t*(t - 45)**2*(t - 1)/4
Suppose -20*p**4 - 992*p**3 + 1420*p**2 - 408*p = 0. What is p?
-51, 0, 2/5, 1
Factor y**2 + 1034*y - 1035.
(y - 1)*(y + 1035)
Find x, given that 845*x**3/2 + 15730*x**2 + 146410*x = 0.
-242/13, 0
Let 4*b**4/7 - 52*b**3/7 - 1468*b**2/7 + 3076*b/7 - 1560/7 = 0. Calculate b.
-15, 1, 26
Factor -3*p**3/8 - 3*p**2/2 - 3*p/2.
-3*p*(p + 2)**2/8
Let -5*k**5 + 120*k**4 - 565*k**3 + 450*k**2 = 0. Calculate k.
0, 1, 5, 18
Suppose 4*r**5 + 48*r**4 + 160*r**3 + 72*r**2 - 164*r - 120 = 0. What is r?
-6, -5, -1, 1
Factor 2*t**4 + 40*t**3 + 38*t**2.
2*t**2*(t + 1