12 = 0.
-191/5, 1
Let 2*a**5 - 4*a**4 + 4*a**2 - 2*a = 0. What is a?
-1, 0, 1
Determine x, given that 5*x**5 + 885*x**4 + 38715*x**3 - 39605*x**2 = 0.
-89, 0, 1
Factor 3*f**3 - 339*f**2 + 669*f - 333.
3*(f - 111)*(f - 1)**2
Factor 3*b**5 + 84*b**4 + 234*b**3 + 228*b**2 + 75*b.
3*b*(b + 1)**3*(b + 25)
Suppose 4*o**2 - 2784*o + 484416 = 0. Calculate o.
348
Factor -4*x**5 - 28*x**4 - 60*x**3 - 36*x**2.
-4*x**2*(x + 1)*(x + 3)**2
Factor -256*u**2 - 704*u - 484.
-4*(8*u + 11)**2
Factor -5*l**3 - 35*l**2 + 40*l.
-5*l*(l - 1)*(l + 8)
Let 35*d**4 + 1160*d**3 + 12450*d**2 + 44280*d + 6075 = 0. What is d?
-15, -9, -1/7
Find d, given that -5*d**4 + 5*d**3 + 5*d**2 - 5*d = 0.
-1, 0, 1
Suppose -5*o**5 + 25*o**4 + 75*o**3 - 25*o**2 - 70*o = 0. Calculate o.
-2, -1, 0, 1, 7
Let 4*z**3 + 4*z**2 - 84*z - 180 = 0. What is z?
-3, 5
Factor 5*v**3 - 280*v**2 - 1495*v - 1830.
5*(v - 61)*(v + 2)*(v + 3)
Factor -2*n**4/7 - 4*n**3/7 + 30*n**2/7.
-2*n**2*(n - 3)*(n + 5)/7
Factor -4*l**3/3 + 8548*l**2/3 - 2848*l.
-4*l*(l - 2136)*(l - 1)/3
Find z such that 4*z**3 - 1860*z**2 - 1864*z = 0.
-1, 0, 466
Factor -3*p**2 + 3.
-3*(p - 1)*(p + 1)
Factor 3*x**3/2 + 19*x**2/4 + 3*x/4.
x*(x + 3)*(6*x + 1)/4
Factor 4*y**2 + 80*y + 384.
4*(y + 8)*(y + 12)
Factor -3*f**3 - 48*f**2 - 75*f + 126.
-3*(f - 1)*(f + 3)*(f + 14)
Factor -o**2/2 + 546*o - 149058.
-(o - 546)**2/2
Factor 4*s**3 + 188*s**2 - 2244*s + 2052.
4*(s - 9)*(s - 1)*(s + 57)
Let 10*u**3 - 5*u**2 - 160*u + 80 = 0. What is u?
-4, 1/2, 4
Let -105*i**3 - 10*i**2 = 0. Calculate i.
-2/21, 0
Find p, given that -14*p**5 + 6938*p**4 - 6006512*p**3/7 - 2606984*p**2/7 + 2956160*p/7 - 492032/7 = 0.
-1, 2/7, 248
Suppose 3*h**4 + 1386*h**3 + 210600*h**2 + 10075104*h - 68335488 = 0. Calculate h.
-156, 6
Factor 2*n**2/3 + 760*n/3 + 72200/3.
2*(n + 190)**2/3
What is m in 5*m**3 - 2885*m**2 + 5755*m - 2875 = 0?
1, 575
Factor -3*w**4/4 - 1631*w**3/4 - 55352*w**2 + 18496*w.
-w*(w + 272)**2*(3*w - 1)/4
Factor o**4/2 - 3*o**3/2 - 3*o**2/2 + 7*o/2 + 3.
(o - 3)*(o - 2)*(o + 1)**2/2
Suppose -2*r**5/19 - 30*r**4/19 + 22*r**3/19 + 294*r**2/19 - 524*r/19 + 240/19 = 0. Calculate r.
-15, -4, 1, 2
Factor 9*j**4 + 12*j**3 - 15*j**2 - 6*j.
3*j*(j - 1)*(j + 2)*(3*j + 1)
What is y in 3*y**3 - 9207*y**2 + 9418761*y - 3211797501 = 0?
1023
Solve -20*w**4/3 + 64*w**3/3 - 68*w**2/3 + 8*w = 0 for w.
0, 1, 6/5
Factor -2*n**2/3 + 4*n/3 + 2.
-2*(n - 3)*(n + 1)/3
Let 3*h**4/4 - 5*h**3 + 9*h**2/4 + 5*h - 3 = 0. What is h?
-1, 2/3, 1, 6
Factor -2*c**4 - 1526*c**3 - 291846*c**2 - 290322*c.
-2*c*(c + 1)*(c + 381)**2
Suppose -2*c**3/9 + 112*c**2/9 - 1850*c/9 + 2500/3 = 0. Calculate c.
6, 25
Factor -o**2/3 - 1246*o/3 - 388129/3.
-(o + 623)**2/3
Suppose -z**3/3 - 5*z**2/3 + 13*z/3 - 7/3 = 0. Calculate z.
-7, 1
What is o in -708050*o**2/9 - 4760*o/9 - 8/9 = 0?
-2/595
Determine j so that j**3 - 75*j**2 - 1392*j + 137924 = 0.
-41, 58
Determine q, given that 3*q**5/5 + 42*q**4/5 + 189*q**3/5 + 246*q**2/5 - 192*q/5 - 288/5 = 0.
-6, -4, -1, 1
What is x in 2*x**5/21 - 4*x**3/21 + 2*x/21 = 0?
-1, 0, 1
Find i, given that 5*i**3 + 2730*i**2 + 375360*i + 739840 = 0.
-272, -2
Factor -4*m**2 - 912*m - 51984.
-4*(m + 114)**2
Factor -g**4/3 - 4*g**3 + 55*g**2 - 488*g/3 + 112.
-(g - 4)**2*(g - 1)*(g + 21)/3
Solve -3*g**4 - 33*g**3 - 93*g**2 - 63*g = 0.
-7, -3, -1, 0
Factor w**2 - 6*w + 8.
(w - 4)*(w - 2)
Factor -s**4/2 - 321*s**3/2 + 1145*s**2 - 984*s.
-s*(s - 6)*(s - 1)*(s + 328)/2
Determine c so that 3*c**5/4 + 3*c**4/4 - 3*c**3/2 - 3*c**2/2 + 3*c/4 + 3/4 = 0.
-1, 1
Suppose -o**3/4 + 95*o**2/4 + 833*o/4 - 927/4 = 0. What is o?
-9, 1, 103
Factor -38*h**2 - 56*h - 18.
-2*(h + 1)*(19*h + 9)
Suppose 4*j**5 - j**4 - 12*j**3 - 5*j**2 + 2*j = 0. Calculate j.
-1, 0, 1/4, 2
Factor t**5/3 + 38*t**4/3 - 352*t**3/3 + 736*t**2/3.
t**2*(t - 4)**2*(t + 46)/3
Solve -6*n**4 - 17*n**3 + 3*n**2 = 0.
-3, 0, 1/6
Factor -46*k**2/11 + 10*k/11.
-2*k*(23*k - 5)/11
Let -5*b**4 - 2545*b**3 - 322565*b**2 + 330225*b + 650250 = 0. What is b?
-255, -1, 2
Factor w**2/3 + 106*w - 321.
(w - 3)*(w + 321)/3
Suppose -2*i**2/3 + 56*i - 1176 = 0. What is i?
42
Factor 4*s**4 - 192*s**3 + 2104*s**2 + 4800*s + 2500.
4*(s - 25)**2*(s + 1)**2
Factor 5*d**3 - 125*d**2 - 130*d.
5*d*(d - 26)*(d + 1)
Find j such that -j**2/3 + 292*j/3 - 21316/3 = 0.
146
Solve -r**4/6 - 19*r**3/2 - 893*r**2/6 - 765*r/2 - 243 = 0 for r.
-27, -2, -1
Factor 5*v**3 + 1510*v**2 + 122525*v + 1261500.
5*(v + 12)*(v + 145)**2
Solve 2*l**4/11 - 2*l**3/11 - 80*l**2/11 + 224*l/11 = 0.
-7, 0, 4
Suppose c**4/3 + 7*c**3/3 - 3*c**2 - 115*c/3 - 100/3 = 0. Calculate c.
-5, -1, 4
Factor 5*j**4 - 45*j**3 + 105*j**2 - 95*j + 30.
5*(j - 6)*(j - 1)**3
Let -20*h**5/3 - 59*h**4 + 449*h**3/3 - 265*h**2/3 - 3*h + 22/3 = 0. Calculate h.
-11, -1/4, 2/5, 1
Find b such that 3*b**2 - 333*b/4 + 243/4 = 0.
3/4, 27
Determine t, given that t**2/2 - 379*t - 2283/2 = 0.
-3, 761
Suppose -2*s**3/7 - 138*s**2/7 - 990*s/7 - 122 = 0. What is s?
-61, -7, -1
Factor 2*h**2/15 + 308*h/15 + 11858/15.
2*(h + 77)**2/15
Suppose -2*z**5/13 + 72*z**4/13 - 378*z**3/13 + 540*z**2/13 = 0. What is z?
0, 3, 30
Determine h, given that 3*h**4/4 - 141*h**3/4 - 111*h**2 - 75*h = 0.
-2, -1, 0, 50
Factor -20*z**2 + 128*z + 148.
-4*(z + 1)*(5*z - 37)
Suppose r**2/2 + 139*r/2 + 69 = 0. What is r?
-138, -1
What is g in -3*g**5/2 - 9*g**4 + 81*g**3/2 - 6*g**2 - 54*g = 0?
-9, -1, 0, 2
Factor 9*i**3 + 114*i**2 + 267*i - 390.
3*(i - 1)*(i + 5)*(3*i + 26)
Factor -2*a**4 - 264*a**3 - 8436*a**2 + 18760*a + 26934.
-2*(a - 3)*(a + 1)*(a + 67)**2
Factor t**2/4 + 333*t/2 - 2007/4.
(t - 3)*(t + 669)/4
Find x such that x**2 - 8*x + 16 = 0.
4
Determine d so that -2*d**5/5 + 2*d**4 + 2*d**3/5 - 2*d**2 = 0.
-1, 0, 1, 5
Find c such that 14*c**3/3 - 598*c**2/3 + 416*c/3 + 56 = 0.
-2/7, 1, 42
Factor 31*c**3/4 - 33*c**2/4 - 15*c + 1.
(c - 2)*(c + 1)*(31*c - 2)/4
Factor -s**4 - 14*s**3 - 48*s**2 + 14*s + 49.
-(s - 1)*(s + 1)*(s + 7)**2
Factor 4*u**2/7 + 608*u/7 + 23104/7.
4*(u + 76)**2/7
What is a in 2*a**2 + 14*a - 1176 = 0?
-28, 21
Factor -9*z**3 + 84*z**2 + 84*z - 240.
-3*(z - 10)*(z + 2)*(3*z - 4)
What is c in 10*c**4 - 64*c**3 - 336*c**2 + 2304*c - 864 = 0?
-6, 2/5, 6
Let 4*p**3 - 1860*p**2 - 26628*p - 93884 = 0. What is p?
-7, 479
Find u, given that 5*u**4 - 15*u**2 + 10*u = 0.
-2, 0, 1
Determine j, given that 2*j**3/5 - 528*j**2/5 + 46464*j/5 - 1362944/5 = 0.
88
Suppose w**3/6 - 45*w**2/2 + 89*w/2 - 133/6 = 0. Calculate w.
1, 133
Find a, given that 16*a**2 - 90*a - 36 = 0.
-3/8, 6
Let 3*y**4/5 + 96*y**3/5 + 504*y**2/5 + 192*y + 624/5 = 0. What is y?
-26, -2
Find l such that 4*l**5 + 52*l**4 + 44*l**3 - 52*l**2 - 48*l = 0.
-12, -1, 0, 1
Let -2*g**2/7 + 1418*g/7 + 1420/7 = 0. Calculate g.
-1, 710
Let 5*y**4 - 120*y**3 - 1055*y**2 - 930*y = 0. Calculate y.
-6, -1, 0, 31
Factor -x**3/3 - 56*x**2/3 - 109*x/3 - 18.
-(x + 1)**2*(x + 54)/3
What is p in -p**4 - 4*p**3 + 16*p + 16 = 0?
-2, 2
Factor 2*i**2/3 + 122*i/3.
2*i*(i + 61)/3
Factor -3*m**3 - 3*m**2 + 12*m + 12.
-3*(m - 2)*(m + 1)*(m + 2)
Find c, given that 5*c**5 + 95*c**4 - 210*c**3 + 10*c**2 + 205*c - 105 = 0.
-21, -1, 1
Determine y, given that y**2 - 91*y - 92 = 0.
-1, 92
Let -135*d**5 + 474*d**4 + 1137*d**3 - 672*d**2 + 60*d = 0. What is d?
-2, 0, 1/9, 2/5, 5
Factor 5*j**3/6 + 25*j**2/3 + 70*j/3 + 20.
5*(j + 2)**2*(j + 6)/6
Find y such that -14*y**3/9 + 120*y**2 + 938*y/9 - 52/3 = 0.
-1, 1/7, 78
Factor 2*u**2 - 88*u + 246.
2*(u - 41)*(u - 3)
Factor 5*g**3 - 1115*g**2 + 63800*g - 181500.
5*(g - 110)**2*(g - 3)
Factor -3*h**4 - 42*h**3 + 60*h**2 + 234*h + 135.
-3*(h - 3)*(h + 1)**2*(h + 15)
Factor l**2/2 + 28*l + 55/2.
(l + 1)*(l + 55)/2
Solve -5*t**2 - 20*t + 105 = 0 for t.
-7, 3
Determine l, given that -5*l**4/4 + 12*l**3 + 615*l**2/4 + 119*l/2 = 0.
-7, -2/5, 0, 17
Factor n**3 + 351*n**2 + 41067*n + 1601613.
(n + 117)**3
Find a such that 2*a**5 - 794*a**4 + 79988*a**3 - 235220*a**2 + 233642*a - 77618 = 0.
1, 197
Suppose -422*x**3/5 - 426*x**2/5 - 4*x/5 = 0. Calculate x.
-1, -2/211, 0
Factor s**3 + 58*s**2 + 113*s + 56.
(s + 1)**2*(s + 56)
Determine w, given that 7680*w**4 - 86720*w**3 + 316200*w**2 - 331545*w - 148955 = 0.
-1/3, 31/8
Factor -5*v**2 - 65*v - 150.
-5*(v + 3)*(v + 10)
Suppose b**5 - 3*b**4 - 17*b**3 + 87*b**2 - 128*b + 60 = 0. Calculate b.
-5, 1, 2, 3
Find y, g