, 1/4
Suppose f**5 + 1207*f**4 + 366019*f**3 + 1090825*f**2 + 1088416*f + 362404 = 0. What is f?
-602, -1
Determine o, given that -4*o**3/7 - 100*o**2/7 - 96*o/7 = 0.
-24, -1, 0
Suppose -2*g**3/11 + 2272*g**2/11 + 4550*g/11 + 2276/11 = 0. Calculate g.
-1, 1138
Factor 4*o**2 - 491*o - 123.
(o - 123)*(4*o + 1)
Factor 25*o**4 - 280*o**3 - 940*o**2 - 560*o.
5*o*(o - 14)*(o + 2)*(5*o + 4)
Factor 3*v**3 - 102*v**2 + 192*v.
3*v*(v - 32)*(v - 2)
Determine r, given that 4*r**5 + 20*r**4 - 20*r**3 - 180*r**2 + 432 = 0.
-3, 2
Let 3*w**3 + 27*w**2 + 60*w + 36 = 0. What is w?
-6, -2, -1
Let 25*z**4/3 - 370*z**3/3 + 269*z**2/3 + 160*z/3 - 28 = 0. What is z?
-3/5, 2/5, 1, 14
Suppose 2*i**2/9 + 56*i/9 + 40 = 0. Calculate i.
-18, -10
Factor k**4/2 + 6*k**3 + 9*k**2/2 - 11*k.
k*(k - 1)*(k + 2)*(k + 11)/2
Solve 4*w**5/3 + 124*w**4/3 + 444*w**3 + 5588*w**2/3 + 6776*w/3 = 0.
-11, -7, -2, 0
Factor -w**3/9 - 52*w**2/9 - 725*w/9 - 1250/9.
-(w + 2)*(w + 25)**2/9
Factor -2*t**3/5 + 4*t**2 - 34*t/5 + 16/5.
-2*(t - 8)*(t - 1)**2/5
Factor -42*a**3 - 297*a**2 + 315*a + 24.
-3*(a - 1)*(a + 8)*(14*a + 1)
Let -15*d**5 - 70*d**4 - 100*d**3 - 40*d**2 = 0. What is d?
-2, -2/3, 0
Factor 2*o**2/3 - 278*o/3 - 284.
2*(o - 142)*(o + 3)/3
Factor 3*s**3 + 183*s**2 - 192*s - 372.
3*(s - 2)*(s + 1)*(s + 62)
Factor -2*c**2 + 32*c/9.
-2*c*(9*c - 16)/9
Find w such that -2*w**2 - 14*w - 24 = 0.
-4, -3
Determine o so that -5*o**5/4 - 15*o**4/4 + 5*o**3/4 + 15*o**2/4 = 0.
-3, -1, 0, 1
Factor -3*w**3 - 60*w**2 + 1044*w - 3456.
-3*(w - 6)**2*(w + 32)
Factor -2*b**4 + 102*b**3 - 606*b**2 - 590*b + 6600.
-2*(b - 44)*(b - 5)**2*(b + 3)
Factor 2*p**2/5 + 34*p/5 + 32/5.
2*(p + 1)*(p + 16)/5
Suppose -3*x**4 - 25*x**3/2 + 3*x**2 + 25*x/2 = 0. What is x?
-25/6, -1, 0, 1
Factor j**4/7 + 12*j**3/7 + 30*j**2/7 + 4*j + 9/7.
(j + 1)**3*(j + 9)/7
Solve -5*m**5 - 10*m**4 + 90*m**3 - 160*m**2 + 115*m - 30 = 0 for m.
-6, 1
Factor 2*w**2/9 - 1216*w/3.
2*w*(w - 1824)/9
Solve 2*a**2 - 24*a - 26 = 0.
-1, 13
Suppose -2*w**3/7 - 54*w**2/7 + 54*w + 1890 = 0. Calculate w.
-21, 15
Factor -5*m**2/2 - 3370*m - 1135690.
-5*(m + 674)**2/2
Suppose -11910*w**2 - 5995*w - 20 = 0. What is w?
-1/2, -4/1191
Determine r, given that 63*r**4 - 195*r**3 + 144*r**2 - 12*r = 0.
0, 2/21, 1, 2
Solve -c**2/2 + 37*c/2 - 18 = 0.
1, 36
Determine m, given that -2*m**4/7 - 26*m**3/7 + 6*m**2/7 + 82*m/7 + 52/7 = 0.
-13, -1, 2
Solve o**5/4 + 2*o**4 + 5*o**3/4 - 25*o**2/2 = 0.
-5, 0, 2
Let -2*t**4 - 30*t**3 + 144*t**2 - 152*t = 0. What is t?
-19, 0, 2
Factor 15*n**2 - 2635*n - 880.
5*(n - 176)*(3*n + 1)
Let -4*o**2/7 - 42512*o/7 - 112954384/7 = 0. Calculate o.
-5314
Factor -5*j**3 + 20*j**2 + 1820*j + 3520.
-5*(j - 22)*(j + 2)*(j + 16)
Find a, given that -a**2/2 - 277*a - 76729/2 = 0.
-277
Factor 2*q**5/11 - 148*q**4 + 442272*q**3/11 - 40245668*q**2/11 + 39805022*q/11.
2*q*(q - 271)**3*(q - 1)/11
Determine x so that -21*x**2/8 + 9*x/2 + 3/2 = 0.
-2/7, 2
Factor 2*u**3/7 + 1454*u**2/7 + 262070*u/7 - 799350/7.
2*(u - 3)*(u + 365)**2/7
Find h such that -11*h**4/4 - 27*h**3 + 148*h**2 - 180*h + 28 = 0.
-14, 2/11, 2
Suppose -3*i**4/2 + 6687*i**3/2 + 26781*i**2/2 + 33489*i/2 + 6699 = 0. What is i?
-2, -1, 2233
Let w**2 - 2*w + 1 = 0. Calculate w.
1
Factor -5*b**5 + 100*b**4 + 4015*b**3 + 25410*b**2.
-5*b**2*(b - 42)*(b + 11)**2
Factor 2*z**4/3 - 170*z**3/3 - 2*z**2/3 + 170*z/3.
2*z*(z - 85)*(z - 1)*(z + 1)/3
Factor -j**4/6 - 3*j**3/2 - 4*j**2/3.
-j**2*(j + 1)*(j + 8)/6
Find d, given that 4*d**3 + 32*d**2 - 4*d - 32 = 0.
-8, -1, 1
What is t in 2*t**4/7 - 30*t**3/7 + 18*t**2 - 14*t = 0?
0, 1, 7
Suppose -z**5/6 + 5*z**4/2 - 8*z**3 - 32*z**2/3 = 0. Calculate z.
-1, 0, 8
Determine v, given that -2*v**3/7 - 138*v**2/7 - 2448*v/7 - 2312/7 = 0.
-34, -1
Suppose 2*p**3/9 + 82*p**2 - 248*p/3 - 1480/9 = 0. What is p?
-370, -1, 2
Factor -l**2/7 + 7838*l/7 - 15358561/7.
-(l - 3919)**2/7
Solve -3*w**2/7 - 69*w/7 - 48 = 0 for w.
-16, -7
Find p, given that 45*p**5 + 910*p**4 + 3845*p**3 + 4860*p**2 + 900*p = 0.
-15, -3, -2, -2/9, 0
Suppose -x**3 - 54*x**2 + 55*x = 0. Calculate x.
-55, 0, 1
Factor -4*x**4 + 20*x**3 + 36*x**2 - 324*x + 432.
-4*(x - 3)**3*(x + 4)
Factor 21*f**4 + 666*f**3 - 192*f**2.
3*f**2*(f + 32)*(7*f - 2)
Factor -g**4 + 16*g**3 + 17*g**2.
-g**2*(g - 17)*(g + 1)
Factor 3*i**5 - 9*i**3 - 6*i**2.
3*i**2*(i - 2)*(i + 1)**2
Suppose w**2/7 - 37*w/7 = 0. Calculate w.
0, 37
Find r such that 3*r**4/8 - 15*r**3/8 + 3*r**2/4 + 3*r = 0.
-1, 0, 2, 4
Factor 3*t**3 - 204*t**2 + 3840*t - 12288.
3*(t - 32)**2*(t - 4)
Factor -4*n**4 - 20*n**3 - 24*n**2 + 16*n + 32.
-4*(n - 1)*(n + 2)**3
Solve -d**5/2 + 6*d**4 - 21*d**3/2 + 5*d**2 = 0 for d.
0, 1, 10
Let 3*x**5 - 63*x**4 + 261*x**3 + 723*x**2 + 396*x = 0. What is x?
-1, 0, 11, 12
Factor 22*j**2 + 64*j - 6.
2*(j + 3)*(11*j - 1)
Factor -i**2 + 1692*i - 715716.
-(i - 846)**2
Factor v**2 - 555*v - 556.
(v - 556)*(v + 1)
Factor 5*r**3 - 10*r**2 + 5*r.
5*r*(r - 1)**2
Solve -15*b**5/8 + 1071*b**4/8 - 3531*b**3/8 + 4317*b**2/8 - 1125*b/4 + 51 = 0 for b.
2/5, 1, 68
Solve -2*b**5 + 68*b**4 - 448*b**3 - 68*b**2 + 450*b = 0.
-1, 0, 1, 9, 25
Factor 3*t**4 - 18*t**3 - 405*t**2 - 1200*t.
3*t*(t - 16)*(t + 5)**2
Let -g**5 - 329*g**4 - 27223*g**3 - 26567*g**2 + 27224*g + 26896 = 0. What is g?
-164, -1, 1
Factor -3*v**2/4 + 15*v - 297/4.
-3*(v - 11)*(v - 9)/4
Find h such that -4*h**2 - 736*h - 5632 = 0.
-176, -8
Factor 3*a**4/5 - 282*a**3/5 + 7419*a**2/5 - 37224*a/5 + 52272/5.
3*(a - 44)**2*(a - 3)**2/5
Find a, given that -3*a**2 - 42*a - 72 = 0.
-12, -2
Factor d**5 + 19*d**4 + 60*d**3.
d**3*(d + 4)*(d + 15)
Factor 4*p**2/3 - 104*p/3 + 64.
4*(p - 24)*(p - 2)/3
Let -6*m**4/5 + 124*m**3/5 - 546*m**2/5 - 916*m/5 - 48 = 0. What is m?
-1, -1/3, 10, 12
Factor v**2/2 - 3295*v/2 + 1647.
(v - 3294)*(v - 1)/2
Solve -2*v**4 + 10*v**3 - 10*v**2 - 10*v + 12 = 0 for v.
-1, 1, 2, 3
Let 16*c**5 - 80*c**4 + 116*c**3 - 64*c**2 + 12*c = 0. Calculate c.
0, 1/2, 1, 3
Find d, given that 4*d**4 - 27808*d**3 + 72495456*d**2 - 83998068352*d + 36497160698944 = 0.
1738
Factor -4*s**3 - 56*s**2 + 128*s.
-4*s*(s - 2)*(s + 16)
Factor -p**3/8 + 3*p**2 + 43*p/2 + 30.
-(p - 30)*(p + 2)*(p + 4)/8
Factor 10*z**2/9 - 256*z/9 - 104/9.
2*(z - 26)*(5*z + 2)/9
Factor 3*i**2 - 633*i + 630.
3*(i - 210)*(i - 1)
Factor 5*f**5 - 20*f**4 - 105*f**3 - 20*f**2 + 140*f.
5*f*(f - 7)*(f - 1)*(f + 2)**2
Factor -o**5/3 - o**4/3 + 11*o**3/3 + 29*o**2/3 + 26*o/3 + 8/3.
-(o - 4)*(o + 1)**3*(o + 2)/3
Factor 2*z**3/9 - 2*z**2/9 - 40*z/9.
2*z*(z - 5)*(z + 4)/9
Factor -461*t**2/5 - 459*t/5 + 2/5.
-(t + 1)*(461*t - 2)/5
Determine i, given that i**3 + 224*i**2 - 455*i - 678 = 0.
-226, -1, 3
Factor 3*v**4/2 + 111*v**3/2 + 246*v**2 + 192*v.
3*v*(v + 1)*(v + 4)*(v + 32)/2
Solve -w**3 + 702*w**2 - 164268*w + 12812904 = 0.
234
Find m such that -m**5 - 21*m**4 - 35*m**3 + 57*m**2 = 0.
-19, -3, 0, 1
Determine x, given that -9*x**5 + 4350*x**4 - 524169*x**3 - 352836*x**2 + 175692*x = 0.
-1, 0, 1/3, 242
Let -28*g**5 + 24*g**4 + 32*g**3 - 24*g**2 - 4*g = 0. Calculate g.
-1, -1/7, 0, 1
Let -3*a**2 + 186*a - 183 = 0. Calculate a.
1, 61
Let u**3 + 2*u**2 - 125*u + 234 = 0. Calculate u.
-13, 2, 9
Factor -3*i**4 - 1122*i**3 + 3384*i**2 - 3390*i + 1131.
-3*(i - 1)**3*(i + 377)
Let -3*c**5/4 + 3*c**3 + 3*c**2/2 - 9*c/4 - 3/2 = 0. What is c?
-1, 1, 2
Find k such that k**2 - 594*k + 1773 = 0.
3, 591
Suppose 9826*n**3 + 95370*n**2 + 308550*n + 332750 = 0. Calculate n.
-55/17
Let 2*p**2/3 + 36*p - 110/3 = 0. What is p?
-55, 1
Factor 2*v**5/7 - 4*v**4/7 - 40*v**3/7 - 48*v**2/7.
2*v**2*(v - 6)*(v + 2)**2/7
Suppose -2*f**2/19 + 14*f/19 - 20/19 = 0. What is f?
2, 5
Factor 10*s**3/13 - 66*s**2/13 + 86*s/13 - 30/13.
2*(s - 5)*(s - 1)*(5*s - 3)/13
Factor a**3/2 + 81*a**2/2 - 125*a + 84.
(a - 2)*(a - 1)*(a + 84)/2
Factor -4*b**3 + 4*b.
-4*b*(b - 1)*(b + 1)
What is p in 3*p**4 - 4*p**3 - 19*p**2 + 8*p + 12 = 0?
-2, -2/3, 1, 3
Find i such that -3*i**2 + 114*i + 117 = 0.
-1, 39
Suppose -3*z**4/8 + 9*z**3/4 + 9*z**2/8 - 15*z/2 + 9/2 = 0. What is z?
-2, 1, 6
Let -t**4/2 + 2*t**3 + 3*t**2 - 2*t - 5/2 = 0. Calculate t.
-1, 1, 5
Solve 4*y**3/3 + 40*y**2/3 - 4*y/3 - 40/3 = 0 for y.
-10, -1, 1
Factor l**2/3 + 40*l/3 + 13.
(l + 1)*(l + 39)/3
Factor 5*y**4 + 75*y**3 - 255*y**2 + 265*y - 90.
5*(y - 1)**3*(y + 18)
Factor 2*z**2/9 - 164*z