 0 for i.
-10, -3, 6
Factor -8*b**4/13 + 200*b**3/13 - 354*b**2/13 - 11200*b/13 - 25088/13.
-2*(b - 16)**2*(2*b + 7)**2/13
Determine m, given that -m**4/2 - 25*m**3/2 - 12*m**2 = 0.
-24, -1, 0
Factor -v**2/4 - 7*v/4 + 9/2.
-(v - 2)*(v + 9)/4
Factor c**3/4 + c**2 - 25*c/4 - 7.
(c - 4)*(c + 1)*(c + 7)/4
Suppose 3*s**4 + 8286*s**3 + 5738031*s**2 + 22852788*s + 22819692 = 0. What is s?
-1379, -2
Find o, given that -2*o**2/5 + 1354*o/5 + 1356/5 = 0.
-1, 678
Factor -5*t**2 + 4960*t - 1230080.
-5*(t - 496)**2
Let 5*z**3 + 3074*z**2 + 12284*z/5 + 2456/5 = 0. What is z?
-614, -2/5
Determine m, given that -4*m**4 + 12*m**2 + 8*m = 0.
-1, 0, 2
Let 5*d**5 - 45*d**4 + 125*d**3 - 75*d**2 - 130*d + 120 = 0. Calculate d.
-1, 1, 2, 3, 4
Let -3*a**5/8 - 21*a**4/2 - 393*a**3/4 - 693*a**2/2 - 3267*a/8 = 0. What is a?
-11, -3, 0
Factor 3*z**3 + 45*z**2 + 144*z - 192.
3*(z - 1)*(z + 8)**2
Factor 7*v**5/4 + 13*v**4 - 8*v**3.
v**3*(v + 8)*(7*v - 4)/4
Factor b**2/5 + 3816*b/5 + 763.
(b + 1)*(b + 3815)/5
Solve 169*t**4 + 897*t**3 + 1278*t**2 + 332*t + 24 = 0.
-3, -2, -2/13
Solve 3*o**3/4 + 207*o**2/2 - 864*o + 1752 = 0 for o.
-146, 4
Factor 2*x**2/5 + 52*x + 258/5.
2*(x + 1)*(x + 129)/5
Factor 3*t**4/4 + 39*t**3/2 + 675*t**2/4 + 486*t.
3*t*(t + 8)*(t + 9)**2/4
Let 3*z**2 - 31*z = 0. What is z?
0, 31/3
Determine w, given that w**4/2 - 18*w**3 + 234*w**2 - 1296*w + 2592 = 0.
6, 12
Let -4*k**2 - 1448*k = 0. Calculate k.
-362, 0
Determine k, given that k**5 + 7*k**4 + 17*k**3 + 17*k**2 + 6*k = 0.
-3, -2, -1, 0
Factor -2*z**3/19 + 50*z**2/19 + 584*z/19 + 952/19.
-2*(z - 34)*(z + 2)*(z + 7)/19
Let 82*b**5 + 78*b**4 - 742*b**3 - 702*b**2 + 36*b = 0. Calculate b.
-3, -1, 0, 2/41, 3
What is j in 3*j**2 - 18666*j + 29034963 = 0?
3111
Suppose 5*s**2 - 5 = 0. What is s?
-1, 1
Find a such that 3*a**4 - 405*a**3 - 411*a**2 + 405*a + 408 = 0.
-1, 1, 136
Factor -8*s**5 + 44*s**4 - 72*s**3 + 16*s**2 + 32*s.
-4*s*(s - 2)**3*(2*s + 1)
Find r, given that 4*r**4/3 + 8*r**3/3 - 16*r**2/3 - 8*r/3 + 4 = 0.
-3, -1, 1
Factor y**3/4 + 119*y**2 + 14161*y.
y*(y + 238)**2/4
Suppose 3*s**3 + 15*s**2 - 3*s - 15 = 0. What is s?
-5, -1, 1
Factor 4*r**2 + 2436*r + 4856.
4*(r + 2)*(r + 607)
Factor -a**3/3 + a**2 + a/3 - 1.
-(a - 3)*(a - 1)*(a + 1)/3
Find h such that -4*h**3 + 4*h**2 + 200*h + 192 = 0.
-6, -1, 8
Suppose 3*y**5/5 + 24*y**4/5 - 282*y**3/5 + 96*y**2 - 45*y = 0. Calculate y.
-15, 0, 1, 5
Find r, given that -5*r**5 - 865*r**4 - 41135*r**3 - 324855*r**2 - 929880*r - 907740 = 0.
-82, -3
Factor 5*t**3 + 17*t**2 + 6*t.
t*(t + 3)*(5*t + 2)
Factor s**4/5 - s**3 - 42*s**2/5 + 36*s + 216/5.
(s - 6)**2*(s + 1)*(s + 6)/5
Solve -3*h**5 - 3*h**4 + 54*h**3 - 42*h**2 - 51*h + 45 = 0.
-5, -1, 1, 3
Find m such that -m**5 + 4*m**4 - 3*m**3 = 0.
0, 1, 3
Solve -5*k**3 + 310*k**2 + 3555*k + 3240 = 0.
-9, -1, 72
Suppose -k**2/3 - 64*k/3 - 124/3 = 0. Calculate k.
-62, -2
Factor -2*b**3 - 120*b**2 - 226*b + 348.
-2*(b - 1)*(b + 3)*(b + 58)
Find w such that 3*w**3 - 108*w**2 + 396*w + 11616 = 0.
-8, 22
Suppose 2*s**5 + 6*s**4 - 44*s**3 + 76*s**2 - 54*s + 14 = 0. Calculate s.
-7, 1
Factor -5*z**3 - 50*z**2 - 125*z.
-5*z*(z + 5)**2
Suppose -c**4 + 106*c**3 - 2808*c**2 - 106*c + 2809 = 0. What is c?
-1, 1, 53
Find w such that -w**4/7 + 8*w**3/7 - 5*w**2/7 - 2*w = 0.
-1, 0, 2, 7
Factor -3*p**3/8 + 15*p**2/8 + 33*p/4 + 6.
-3*(p - 8)*(p + 1)*(p + 2)/8
Determine i, given that -21*i**4/2 + 3*i**3 + 42*i**2 - 12*i = 0.
-2, 0, 2/7, 2
Factor 4*f**2/3 - 35872*f/3 + 80425024/3.
4*(f - 4484)**2/3
Factor 5*m**4 - 10*m**3 - 65*m**2 - 50*m.
5*m*(m - 5)*(m + 1)*(m + 2)
Factor -3*m**2/2 - 435*m/2 + 219.
-3*(m - 1)*(m + 146)/2
Solve 3*b**3/2 - 3*b**2 - 87*b/2 - 63 = 0 for b.
-3, -2, 7
Factor 2*x**5/7 + 12*x**4/7 - 48*x**3/7 + 52*x**2/7 - 18*x/7.
2*x*(x - 1)**3*(x + 9)/7
Factor 54*j**2/5 + 3*j - 4/5.
(6*j - 1)*(9*j + 4)/5
Determine n, given that 3*n**3 - 18*n**2 + 33*n - 18 = 0.
1, 2, 3
Let 2*b**2 - 1536*b + 1534 = 0. What is b?
1, 767
Determine z so that -3*z**3 + 1140*z**2 - 107151*z - 218886 = 0.
-2, 191
Factor -3*a**2 + 117*a.
-3*a*(a - 39)
Factor -w**3/5 + 16*w**2/5 + 60*w + 1008/5.
-(w - 28)*(w + 6)**2/5
Factor -8*x**2/3 + 146*x/3 - 12.
-2*(x - 18)*(4*x - 1)/3
Factor 70*p**3/11 + 71*p**2/11 + p/11.
p*(p + 1)*(70*p + 1)/11
Suppose -2*n**5/7 - 26*n**4/7 - 22*n**3/7 + 26*n**2/7 + 24*n/7 = 0. Calculate n.
-12, -1, 0, 1
Factor -2*g**4/9 + 2*g**2/9.
-2*g**2*(g - 1)*(g + 1)/9
Suppose 3*f**2 + 336*f = 0. Calculate f.
-112, 0
Factor -t**2/6 - 329*t/6 + 55.
-(t - 1)*(t + 330)/6
Solve t**5/11 + t**4/11 - 2*t**3/11 = 0 for t.
-2, 0, 1
Factor -3*g**3/2 - 3*g**2/2 + 3*g.
-3*g*(g - 1)*(g + 2)/2
Let 2*b**5 - 24*b**4 + 94*b**3 - 104*b**2 - 96*b + 128 = 0. What is b?
-1, 1, 4
Factor 2*q**2/9 + 196*q/3 + 4802.
2*(q + 147)**2/9
Factor 328*h**2 + 1012*h + 84.
4*(h + 3)*(82*h + 7)
Let -35*o**3 + 220*o**2 - 60*o = 0. Calculate o.
0, 2/7, 6
Factor -s**2/2 - 34*s + 69/2.
-(s - 1)*(s + 69)/2
Let 3*t**5/2 + 1155*t**4/2 + 9069*t**3/2 + 7917*t**2/2 = 0. What is t?
-377, -7, -1, 0
Factor -c**2/3 + 170*c/3 + 57.
-(c - 171)*(c + 1)/3
Find i, given that i**3 - 375*i**2 + 46875*i - 1953125 = 0.
125
Let -2*a**2/7 - 64*a/7 - 62/7 = 0. Calculate a.
-31, -1
Suppose -4*i**3/7 - 68*i**2/7 - 8*i + 128/7 = 0. What is i?
-16, -2, 1
Let 6*s**5/11 + 138*s**4/11 - 6*s**3/11 - 138*s**2/11 = 0. What is s?
-23, -1, 0, 1
Factor o**4 - 46*o**3 + 480*o**2 + 1152*o.
o*(o - 24)**2*(o + 2)
Let 2*v**3 + 158*v**2 - 2*v - 158 = 0. Calculate v.
-79, -1, 1
Suppose -2*i**4/7 + 6*i**2/7 + 4*i/7 = 0. Calculate i.
-1, 0, 2
Factor 12*h**3 - 255*h**2 - 201*h + 66.
3*(h - 22)*(h + 1)*(4*h - 1)
Factor -5*n**3 + 1585*n**2 - 129480*n + 608400.
-5*(n - 156)**2*(n - 5)
Factor 2*i**4 - 74*i**3 + 450*i**2 - 918*i + 540.
2*(i - 30)*(i - 3)**2*(i - 1)
Determine b so that b**5/3 + b**4/3 - 8*b**3 - 88*b**2/3 - 112*b/3 - 16 = 0.
-2, -1, 6
Factor -4*u**3 - 544*u**2 - 1072*u.
-4*u*(u + 2)*(u + 134)
What is r in 2*r**5 + 150*r**4 + 3750*r**3 + 31250*r**2 = 0?
-25, 0
Factor -q**3 + 12*q**2 + 316*q - 672.
-(q - 24)*(q - 2)*(q + 14)
Factor 5*j**5 - 5*j**4 - 150*j**3 - 370*j**2 - 335*j - 105.
5*(j - 7)*(j + 1)**3*(j + 3)
Solve 72*i**3 - 2058*i**2 + 15908*i - 16810 = 0 for i.
5/4, 41/3
Suppose 16*i**4/3 + 212*i**3/9 - 142*i**2/9 - 848*i/9 - 200/9 = 0. Calculate i.
-25/6, -2, -1/4, 2
Find q such that -672*q**3/5 - 568*q**2/5 - 148*q/5 - 12/5 = 0.
-3/7, -1/4, -1/6
Factor y**3/3 - 4*y**2 - 84*y - 288.
(y - 24)*(y + 6)**2/3
Solve -2*l**5 - 30*l**4 - 160*l**3 - 320*l**2 + 512 = 0 for l.
-4, 1
Suppose y**2/4 + 251*y/4 + 615/2 = 0. Calculate y.
-246, -5
Find f, given that -f**5 + 10*f**4 - 22*f**3 - 24*f**2 + 63*f + 54 = 0.
-1, 3, 6
Let 3*w**2 + 33*w + 90 = 0. Calculate w.
-6, -5
Determine v so that -v**2 + v = 0.
0, 1
Suppose -19*h**5/6 - 25*h**4/2 + 23*h**3/6 + 25*h**2/2 - 2*h/3 = 0. What is h?
-4, -1, 0, 1/19, 1
Find p such that 3*p**5/2 + 15*p**4/2 - 21*p**3 = 0.
-7, 0, 2
Let 9*k**2/5 + 66*k/5 + 121/5 = 0. What is k?
-11/3
Factor -16935*l**2/4 - 16941*l/4 - 3/2.
-3*(l + 1)*(5645*l + 2)/4
Factor -2*a**2 - 28*a - 48.
-2*(a + 2)*(a + 12)
Factor -v**4/3 - 21*v**3 + 65*v**2/3 + 21*v - 64/3.
-(v - 1)**2*(v + 1)*(v + 64)/3
Solve -v**5/6 + 48*v**4 - 565*v**3/6 - 333*v**2 - 572*v/3 = 0.
-1, 0, 4, 286
Factor x**3/8 - 3*x**2/8 - 81*x/2 + 243/2.
(x - 18)*(x - 3)*(x + 18)/8
Find q, given that -q**2/4 + 183*q/4 + 185/2 = 0.
-2, 185
Solve -2*x**4/5 - 12*x**3 - 506*x**2/5 - 168*x - 392/5 = 0.
-14, -1
Determine b, given that b**2/5 - 219*b/5 = 0.
0, 219
Find p, given that p**5/7 + p**4/7 - 15*p**3/7 + 23*p**2/7 - 10*p/7 = 0.
-5, 0, 1, 2
Factor g**3 - 32*g**2 - 67*g - 34.
(g - 34)*(g + 1)**2
Solve 2*n**5 + 4*n**4 - 14*n**3 - 16*n**2 + 24*n = 0 for n.
-3, -2, 0, 1, 2
Factor 2*q**5 - 8*q**4 + 10*q**3 - 4*q**2.
2*q**2*(q - 2)*(q - 1)**2
Suppose 9*g**3 - 172*g**2 - 9*g + 172 = 0. What is g?
-1, 1, 172/9
Solve -4*s**5 - 132*s**4 + 292*s**3 + 420*s**2 = 0.
-35, -1, 0, 3
Factor t**2/3 - 7*t/3 - 10.
(t - 10)*(t + 3)/3
Solve -v**4/2 + 11*v**3 - 84*v**2 + 245*v - 343/2 = 0.
1, 7
Factor 2*k**2 + 350*k - 352.
2*(k - 1)*(k + 176)
Factor -2*u**2/5 - 92*u/5 - 1008/5.
-2*(u + 18)*(u + 28)/5
Suppose -2*z**2/3 + 6*z - 16/3 = 0. Calculate z.
1, 8
Factor -1690*z**2 + 3432*z - 8712/5.
-2*(65*z - 66)**2/5
Factor 12*w**5 + 52*w**4 + 32*w**3 - 96*w**2 - 6