1440*x**2 + 768*x = 0. What is x?
-16, 0, 1
Let -2*k**5/19 + 172*k**4/19 - 662*k**3/19 + 484*k**2/19 + 664*k/19 - 656/19 = 0. Calculate k.
-1, 1, 2, 82
Factor f**3/4 + 5*f**2/2 + 29*f/4 + 5.
(f + 1)*(f + 4)*(f + 5)/4
Suppose -3*p**2 - 24*p + 1404 = 0. What is p?
-26, 18
Factor h**5/4 + 1061*h**4/4 - 2125*h**3/4 + 1063*h**2/4.
h**2*(h - 1)**2*(h + 1063)/4
Factor -8*l**2/7 + l + 1/7.
-(l - 1)*(8*l + 1)/7
What is z in 3*z**3/5 - 102*z**2/5 + 93*z/5 + 198/5 = 0?
-1, 2, 33
Solve -4*w**5 - 64*w**4 - 156*w**3 + 16*w**2 + 208*w = 0.
-13, -2, 0, 1
Factor p**2/2 + 59*p + 116.
(p + 2)*(p + 116)/2
Determine j, given that j**2 - 215*j - 216 = 0.
-1, 216
Find s, given that -3*s**4/5 - 21*s**3/5 + 24*s**2 - 132*s/5 = 0.
-11, 0, 2
Find k, given that -3*k**2/5 - 42*k + 213/5 = 0.
-71, 1
Determine o, given that o**3/6 - 265*o**2/2 + 26532*o - 78408 = 0.
3, 396
Factor -3*u**2 - 84*u + 999.
-3*(u - 9)*(u + 37)
Factor p**4/8 - 21*p**3/8 + 7*p**2 - 9*p/2.
p*(p - 18)*(p - 2)*(p - 1)/8
Factor -9*n**3 + 120*n**2 - 237*n + 66.
-3*(n - 11)*(n - 2)*(3*n - 1)
Find u, given that -27*u**5/2 + 2367*u**4/2 + 807*u**3/2 - 1323*u**2/2 + 132*u = 0.
-1, 0, 1/3, 88
Factor -3*f**4 + 24*f**3 - 54*f**2 + 48*f - 15.
-3*(f - 5)*(f - 1)**3
Factor -2*l**3/15 - 14*l**2/3 - 80*l/3 + 800/3.
-2*(l - 5)*(l + 20)**2/15
Factor -81*y**4 - 1584*y**3 + 10841*y**2 - 4580*y + 500.
-(y - 5)*(y + 25)*(9*y - 2)**2
Suppose -s**5/4 - 39*s**4/4 - 99*s**3/4 + 319*s**2/4 - 45*s = 0. Calculate s.
-36, -5, 0, 1
Determine c so that -108*c**5 + 228*c**4 + 272*c**3 + 48*c**2 = 0.
-2/3, -2/9, 0, 3
Let -b**2 + 57*b = 0. What is b?
0, 57
Suppose w**5/3 + 86*w**4/3 + 169*w**3/3 + 28*w**2 = 0. What is w?
-84, -1, 0
Factor 4*g**3 - 312*g**2 - 11088*g - 83104.
4*(g - 106)*(g + 14)**2
What is z in -z**2/3 - 154*z - 17787 = 0?
-231
Factor h**3 - 831*h**2 + 172224*h + 173056.
(h - 416)**2*(h + 1)
Solve -5*r**4 - 1650*r**3 - 3275*r**2 + 1650*r + 3280 = 0.
-328, -2, -1, 1
Find k, given that 14*k**3/9 - 100*k**2/9 + 98*k/9 - 4/3 = 0.
1/7, 1, 6
Suppose 50*x**2 + 504*x + 40 = 0. What is x?
-10, -2/25
Let -4*y**2 - 12*y = 0. What is y?
-3, 0
Factor 529*n**3/4 + 575*n**2/2 + 47*n + 2.
(n + 2)*(23*n + 2)**2/4
Factor 8*n**3 - 42*n**2 + 70*n - 36.
2*(n - 2)*(n - 1)*(4*n - 9)
Find g such that -g**5 + 68*g**4 + 9*g**3 - 612*g**2 = 0.
-3, 0, 3, 68
Find s, given that -25*s**3 - 610*s**2 - 1340*s - 440 = 0.
-22, -2, -2/5
Let -5*f**2 + 50*f - 105 = 0. What is f?
3, 7
Find w, given that -162*w**5 + 738*w**4 - 296*w**3 - 248*w**2 - 32*w = 0.
-2/9, 0, 1, 4
Factor 3*h**4 - 99*h**3 + 189*h**2 - 93*h.
3*h*(h - 31)*(h - 1)**2
Suppose 7*c**5 - 100*c**4 + 119*c**3 - 26*c**2 = 0. What is c?
0, 2/7, 1, 13
Determine m so that -15*m**5 + 129*m**4 + 234*m**3 - 228*m**2 - 120*m = 0.
-2, -2/5, 0, 1, 10
Suppose 2*o**2/11 + 64*o/11 + 174/11 = 0. What is o?
-29, -3
Solve -5*l**4 - 30*l**3 + 85*l**2 + 30*l - 80 = 0.
-8, -1, 1, 2
Let 245*k**5 - 4795*k**4 - 3690*k**3 + 32660*k**2 - 17320*k + 2400 = 0. What is k?
-3, 2/7, 2, 20
Factor -o**2/2 - 93*o + 188.
-(o - 2)*(o + 188)/2
Factor -15*j**3 - 125*j**2 + 420*j - 220.
-5*(j - 2)*(j + 11)*(3*j - 2)
Solve -2*w**3/21 - 2*w**2/3 + 292*w/21 - 272/7 = 0 for w.
-17, 4, 6
Factor -96*h**3 - 1052*h**2 - 916*h + 40.
-4*(h + 1)*(h + 10)*(24*h - 1)
Determine v so that v**2/7 - 89*v + 622/7 = 0.
1, 622
Factor 5*j**3 - 5915*j**2 + 1746400*j + 1752320.
5*(j - 592)**2*(j + 1)
Suppose -90*g**3 - 86*g**2 + 4*g = 0. Calculate g.
-1, 0, 2/45
Factor 2*d**5/13 + 6*d**4/13 + 4*d**3/13.
2*d**3*(d + 1)*(d + 2)/13
Find j such that 2*j**4/11 - 4*j**3/11 - 6*j**2/11 + 16*j/11 - 8/11 = 0.
-2, 1, 2
Factor -5*q**3/3 + 40*q**2/3 + 55*q/3 - 30.
-5*(q - 9)*(q - 1)*(q + 2)/3
Determine m, given that 2*m**3 + 4666*m**2 - 9338*m + 4670 = 0.
-2335, 1
Factor -6*l**5 + 34*l**4/3 - 14*l**3/3 - 2*l**2/3.
-2*l**2*(l - 1)**2*(9*l + 1)/3
Factor 36*p**3 - 128328*p**2 + 85540*p - 14256.
4*(p - 3564)*(3*p - 1)**2
Factor 3*j**2 + 114*j + 495.
3*(j + 5)*(j + 33)
What is a in 2*a**2 + 424*a + 22472 = 0?
-106
Let k**5 - 26*k**4 + 141*k**3 + 364*k**2 + 196*k = 0. What is k?
-1, 0, 14
Solve -15*b**3 - 344*b**2 + 25*b + 46 = 0 for b.
-23, -1/3, 2/5
Factor x**2 + 6*x - 27.
(x - 3)*(x + 9)
Factor 4*q**3/7 - 100*q**2/7 + 48*q.
4*q*(q - 21)*(q - 4)/7
Find b such that -4*b**5/7 + 40*b**4/7 - 12*b**3/7 - 216*b**2/7 = 0.
-2, 0, 3, 9
Suppose -h**2/4 + 25*h/4 - 6 = 0. Calculate h.
1, 24
Determine y so that y**3 + 121*y**2 - 122*y = 0.
-122, 0, 1
Factor 23*y**3/7 + 20*y**2/7 - 3*y/7.
y*(y + 1)*(23*y - 3)/7
Find m, given that 6*m**4/5 - m**3 - 7*m**2/5 + m + 1/5 = 0.
-1, -1/6, 1
Factor -2*x**5 - 4*x**4 + 52*x**3 - 112*x**2 + 94*x - 28.
-2*(x - 2)*(x - 1)**3*(x + 7)
Determine o so that 2*o**5/5 + 4*o**4/5 - 4*o**3/5 - 8*o**2/5 + 2*o/5 + 4/5 = 0.
-2, -1, 1
Factor -5*k**4 - 465*k**3 - 11910*k**2 - 51040*k - 58080.
-5*(k + 2)*(k + 3)*(k + 44)**2
Factor 18*k**3 + 372*k**2 + 2546*k + 5776.
2*(k + 8)*(3*k + 19)**2
Determine q so that -4*q**3 + 188*q**2 - 1680*q = 0.
0, 12, 35
Find b, given that b**4/6 - 253*b**3/3 - 1018*b**2/3 - 340*b = 0.
-2, 0, 510
Suppose 75*g**4 - 690*g**3 + 987*g**2 + 1140*g + 252 = 0. Calculate g.
-2/5, 3, 7
Suppose -p**4 - 44*p**3 - 391*p**2 - 924*p = 0. What is p?
-33, -7, -4, 0
Solve 2*a**4/7 + 12*a**3/7 + 16*a**2/7 - 12*a/7 - 18/7 = 0 for a.
-3, -1, 1
Find i, given that -96*i**3/7 + 264*i**2/7 - 192*i/7 + 6 = 0.
1/2, 7/4
Determine y so that -y**5 - 68*y**4 - 66*y**3 + 68*y**2 + 67*y = 0.
-67, -1, 0, 1
Factor z**3/5 + 42*z**2/5 + 371*z/5 + 186.
(z + 5)*(z + 6)*(z + 31)/5
Factor -4*u**3 - 596*u**2 - 21900*u + 22500.
-4*(u - 1)*(u + 75)**2
Factor 234*g**2 + 237*g + 3.
3*(g + 1)*(78*g + 1)
Factor 2*c**4 + 21*c**3/2 + 37*c**2/2 + 12*c + 2.
(c + 1)*(c + 2)**2*(4*c + 1)/2
Determine m, given that -m**5 + 12*m**4 + 117*m**3 - 148*m**2 - 252*m = 0.
-7, -1, 0, 2, 18
Let -2*u**5/7 - 150*u**4/7 - 3592*u**3/7 - 3328*u**2 + 97344*u/7 - 70304/7 = 0. What is u?
-26, 1, 2
Solve -24*i**2 + 316*i - 336 = 0.
7/6, 12
Factor i**2/4 + 5*i/2 + 21/4.
(i + 3)*(i + 7)/4
Solve m**4/2 - 13*m**3/2 + 20*m**2 - 18*m = 0 for m.
0, 2, 9
Find u such that -3*u**2 + 993*u - 990 = 0.
1, 330
Let -f**5/4 - f**4 + 27*f**3/4 - 19*f**2/2 + 4*f = 0. What is f?
-8, 0, 1, 2
Find t such that -4*t**3 - 78*t**2 - 36*t + 38 = 0.
-19, -1, 1/2
Factor -5*f**2 + 140*f + 2400.
-5*(f - 40)*(f + 12)
Let -3*n**2/2 + 1257*n/2 - 2490 = 0. What is n?
4, 415
Solve v**2 - 4*v + 4 = 0.
2
Factor -5*f**3 - 100*f**2 - 185*f - 90.
-5*(f + 1)**2*(f + 18)
Factor 4*u**4 - 88*u**3 - 624*u**2 - 1312*u - 896.
4*(u - 28)*(u + 2)**3
Factor -q**5/4 + q**4 - 3*q**3/4.
-q**3*(q - 3)*(q - 1)/4
Factor -2*f**4 + 122*f**3 + 378*f**2 + 382*f + 128.
-2*(f - 64)*(f + 1)**3
Factor -v**3/10 + 577*v**2/5 - 165886*v/5 - 334084/5.
-(v - 578)**2*(v + 2)/10
Find n, given that 10*n**2 - 85*n - 45 = 0.
-1/2, 9
Find w, given that 5*w**3 + 275*w**2 + 1180*w - 3500 = 0.
-50, -7, 2
Determine s so that -s**4/2 - 31*s**3/2 + 16*s**2 = 0.
-32, 0, 1
Factor 4*w**2 + 132*w + 464.
4*(w + 4)*(w + 29)
Suppose r**2/3 - 41*r/3 - 14 = 0. What is r?
-1, 42
Factor a**2 + 29*a - 30.
(a - 1)*(a + 30)
Factor a**3 - 50*a**2 + 96*a.
a*(a - 48)*(a - 2)
What is m in -3*m**5 - 138*m**4 - 2070*m**3 - 11220*m**2 - 10527*m + 23958 = 0?
-22, -11, -3, 1
Suppose 2*g**3/3 + 864*g**2 - 2594*g/3 = 0. What is g?
-1297, 0, 1
Suppose 2*o**5/15 - 4*o**4/3 + 2*o**3/3 + 16*o**2/3 - 24*o/5 = 0. What is o?
-2, 0, 1, 2, 9
Solve -4*u**4 - 508*u**3 + 1112*u**2 + 10416*u + 12384 = 0.
-129, -2, 6
Let 2*v**4 + 224*v**3 - 690*v**2 + 8*v + 920 = 0. Calculate v.
-115, -1, 2
Factor -t**3/6 - 11*t**2/3 - 51*t/2 - 54.
-(t + 4)*(t + 9)**2/6
What is f in 3*f**5 + 27*f**4 + 69*f**3 + 33*f**2 - 72*f - 60 = 0?
-5, -2, -1, 1
Factor -28*k**5 - 2372*k**4 + 680*k**3.
-4*k**3*(k + 85)*(7*k - 2)
What is i in -2*i**2 + 10716*i - 14354082 = 0?
2679
Factor -3*f**4 - 18*f**3 + 162*f + 243.
-3*(f - 3)*(f + 3)**3
Factor -3*g**3 - 51*g**2 - 213*g - 165.
-3*(g + 1)*(g + 5)*(g + 11)
Factor -2*u**2/3 - 46*u + 284/3.
-2*(u - 2)*(u + 71)/3
Let f**4 - 11*f**3 + 26*f**2 + 44*f - 120 = 0. What is f?
-2, 2, 5, 6
Factor -w**2/4 - 1903*w/4 + 476.
-(w - 1)*(w + 1904)/4
Factor v**4/11 + 365*v**3/11 + 33123*v**2/11 - 33489*v/11.
v*(v - 1)*(v + 183)**2/11
What is h in -h**5/5 - 9*h**4/5 + 62*h**3/5 - 108*h**2/5 + 56*h/5 = 0?
-14, 0