termine k so that 523*k**2/5 + 209*k - 2/5 = 0.
-2, 1/523
Factor 22*j**2/7 + 6*j - 4/7.
2*(j + 2)*(11*j - 1)/7
Suppose f**2/8 - 10*f = 0. Calculate f.
0, 80
Factor 3*o**4 + 3*o**3.
3*o**3*(o + 1)
Find y such that 18*y**3 + 1284*y**2 - 3520*y + 2368 = 0.
-74, 4/3
Factor 5*h**4 + 185*h**3 + 2010*h**2 + 8480*h + 12320.
5*(h + 4)**2*(h + 7)*(h + 22)
Let -i**3 - 9792*i**2 - 31961088*i - 34773663744 = 0. What is i?
-3264
Let -c**3 - 157*c**2/5 + 277*c/5 + 429/5 = 0. What is c?
-33, -1, 13/5
Factor i**5/2 + 348*i**4 - 2100*i**3 + 4207*i**2 - 7017*i/2 + 1053.
(i - 3)*(i - 1)**3*(i + 702)/2
Suppose -2*y**2/15 + 18*y/5 - 20/3 = 0. What is y?
2, 25
Let -5*w**3 + 25*w**2 + 40*w - 60 = 0. Calculate w.
-2, 1, 6
Find w, given that w**2/9 - 86*w/9 + 553/9 = 0.
7, 79
Suppose 2*g**5/3 - 2*g**4 - 10*g**3/3 + 18*g**2 - 64*g/3 + 8 = 0. What is g?
-3, 1, 2
Let h**2/8 + 21*h/4 - 23 = 0. Calculate h.
-46, 4
Factor -t**3/4 + 9*t**2/4.
-t**2*(t - 9)/4
Factor 2*d**3/5 - 186*d**2/5 - 188*d/5.
2*d*(d - 94)*(d + 1)/5
Factor -4*b**3/9 - 436*b**2/9 + 752*b/3 - 304.
-4*(b - 3)*(b - 2)*(b + 114)/9
Factor -2*y**2/15 + 68*y/3 + 688/15.
-2*(y - 172)*(y + 2)/15
Suppose -t**4 + 314*t**3 - 33072*t**2 + 1189760*t - 2249728 = 0. Calculate t.
2, 104
Factor -b**3 - 35*b**2 - 288*b + 324.
-(b - 1)*(b + 18)**2
Suppose -2*c**5/15 + 64*c**4/15 - 674*c**3/15 + 2668*c**2/15 - 4472*c/15 + 2704/15 = 0. Calculate c.
2, 13
Factor -3*a**5 - 21*a**4 + 312*a**3 - 720*a**2.
-3*a**2*(a - 4)**2*(a + 15)
Factor y**4/4 + y**3 - 51*y**2/4 + 43*y/2 - 10.
(y - 4)*(y - 1)**2*(y + 10)/4
Find h such that 322*h**4/3 + 610*h**3/3 + 344*h**2/3 + 56*h/3 = 0.
-1, -14/23, -2/7, 0
Let 4*k**2 - 3847*k - 962 = 0. Calculate k.
-1/4, 962
Factor 3*w**5 - 9*w**4 + 6*w**3.
3*w**3*(w - 2)*(w - 1)
Suppose -2*m**4/5 + 2976*m**3/5 - 1101104*m**2/5 - 4440192*m/5 - 4452128/5 = 0. What is m?
-2, 746
Factor 4*m**2 - 344*m + 7396.
4*(m - 43)**2
Factor -2*r**5 + 70*r**4 - 646*r**3 + 578*r**2.
-2*r**2*(r - 17)**2*(r - 1)
Determine h, given that -6*h**2/11 + 556*h/11 + 186/11 = 0.
-1/3, 93
Factor l**4 - 12*l**3 - l**2 + 12*l.
l*(l - 12)*(l - 1)*(l + 1)
Factor 4*q**2 - 17*q - 21.
(q + 1)*(4*q - 21)
Factor 5*y**2/2 - 849*y + 1017/2.
(y - 339)*(5*y - 3)/2
Factor 3*h**5 + 21*h**4 + 33*h**3 + 15*h**2.
3*h**2*(h + 1)**2*(h + 5)
Solve -r**3 - 2*r**2 + 5*r + 6 = 0 for r.
-3, -1, 2
Let l**4 - 14*l**3 - l**2 + 14*l = 0. Calculate l.
-1, 0, 1, 14
Factor -4*m**3 + 64*m**2 - 208*m + 192.
-4*(m - 12)*(m - 2)**2
Let -6724*d**2/7 + 328*d/7 - 4/7 = 0. What is d?
1/41
Solve 3*h**4/8 - h**3 + h**2/8 + h - 1/2 = 0 for h.
-1, 2/3, 1, 2
Factor -4*k**3 - 40*k**2 - 32*k + 256.
-4*(k - 2)*(k + 4)*(k + 8)
Factor -2*w**3/5 + 1298*w**2/5 - 41990*w - 42250.
-2*(w - 325)**2*(w + 1)/5
Solve 2*p**2/5 - 62*p/5 - 56 = 0 for p.
-4, 35
Factor -2*s**5/11 + 4*s**4 - 282*s**3/11 + 40*s**2 - 200*s/11.
-2*s*(s - 10)**2*(s - 1)**2/11
Let 11*u**2/10 + 233*u/5 + 84/5 = 0. Calculate u.
-42, -4/11
Factor -2*b**3 - 70*b**2 - 416*b - 672.
-2*(b + 3)*(b + 4)*(b + 28)
Find a such that -2*a**4/7 - 16*a**3/7 + 158*a**2/7 - 20*a = 0.
-14, 0, 1, 5
Factor -y**2 + 34*y - 33.
-(y - 33)*(y - 1)
Find s, given that -2*s**5 - 14*s**4 - 18*s**3 + 38*s**2 + 44*s - 48 = 0.
-4, -3, -2, 1
Factor -3*d**2/2 - 15*d/2.
-3*d*(d + 5)/2
Factor 5*x**3 - 321*x**2 + 684*x - 124.
(x - 62)*(x - 2)*(5*x - 1)
Determine z so that 3*z**2 - 9672*z + 7795632 = 0.
1612
Factor 4*z**2 - 108*z - 952.
4*(z - 34)*(z + 7)
Let z**5/7 - 12*z**4/7 + 39*z**3/7 - 4*z**2 = 0. What is z?
0, 1, 4, 7
Factor i**2 - 9*i.
i*(i - 9)
Find f, given that -f**4/4 - 99*f**3 - 39203*f**2/4 + 99*f + 9801 = 0.
-198, -1, 1
Factor 2*v**2/3 - 4856*v/3 + 2947592/3.
2*(v - 1214)**2/3
Let -w**4/3 - 44*w**3/3 + w**2 + 130*w/3 - 88/3 = 0. Calculate w.
-44, -2, 1
Solve -b**4 - 2*b**3 - 5*b**2/4 - b/4 = 0 for b.
-1, -1/2, 0
Suppose -3*t**4/2 - 81*t**3 + 687*t**2/2 - 261*t = 0. Calculate t.
-58, 0, 1, 3
Factor w**2 - 10*w + 21.
(w - 7)*(w - 3)
Suppose -4*z**4 - 140*z**3 - 1152*z**2 + 1296*z = 0. What is z?
-18, 0, 1
Find m, given that -7*m**4/2 - 3233*m**3/2 - 2751*m**2/2 + 6913*m/2 - 461 = 0.
-461, -2, 1/7, 1
Factor -4*w**4 + 996*w**3 - 3936*w**2 + 3920*w.
-4*w*(w - 245)*(w - 2)**2
Find g such that -g**4/4 + 13*g**3/4 - 41*g**2/4 + 47*g/4 - 9/2 = 0.
1, 2, 9
Factor p**3/2 + 2*p**2 + p/2 - 3.
(p - 1)*(p + 2)*(p + 3)/2
Let -2*x**5/9 - 18*x**4 + 2*x**3/9 + 18*x**2 = 0. What is x?
-81, -1, 0, 1
Find n, given that -9*n**5/5 - 66*n**4/5 - 2*n**3 + 16*n**2 + 19*n/5 - 14/5 = 0.
-7, -1, -2/3, 1/3, 1
Solve -5*i**2 + 2750*i - 378125 = 0 for i.
275
Let -15*f**4 - 1870*f**3 - 3065*f**2 + 1230*f = 0. Calculate f.
-123, -2, 0, 1/3
Solve q**2 + 11*q + 10 = 0.
-10, -1
Suppose -3*z**2 - 3*z + 6 = 0. What is z?
-2, 1
Factor -2*w**4 + 4*w**3 + 22*w**2 - 24*w.
-2*w*(w - 4)*(w - 1)*(w + 3)
Factor -3*t**3/7 + 9*t**2/7 - 12/7.
-3*(t - 2)**2*(t + 1)/7
Find b, given that b**3/3 - 2*b**2/3 + b/3 = 0.
0, 1
Determine x, given that -36*x**5 + 640*x**4 - 2421*x**3 + 2355*x**2 + 650*x = 0.
-2/9, 0, 5/2, 13
Factor 3*k**3/7 + 18*k**2/7 + 33*k/7 + 18/7.
3*(k + 1)*(k + 2)*(k + 3)/7
Let -3*d**3/7 + 45*d**2/7 - 114*d/7 + 72/7 = 0. What is d?
1, 2, 12
Suppose 8*g**2 + 36*g + 16 = 0. What is g?
-4, -1/2
Factor -d**4 + 3*d**3 + 222*d**2 + 928*d - 1152.
-(d - 18)*(d - 1)*(d + 8)**2
Factor -155*u**2 + 200*u - 45.
-5*(u - 1)*(31*u - 9)
Suppose -5*n**5 + 44*n**4 - 26*n**3 - 52*n**2 + 31*n + 8 = 0. What is n?
-1, -1/5, 1, 8
Factor -d**3/3 - 2*d**2 + 25*d/3 - 6.
-(d - 2)*(d - 1)*(d + 9)/3
Let -2*n**2/5 - 192*n + 1928/5 = 0. What is n?
-482, 2
Find l such that -l**3/2 - 51*l**2/2 - 252*l - 702 = 0.
-39, -6
What is s in s**4 - 2*s**3 + s**2 = 0?
0, 1
Factor 2*g**4 + 112*g**3 + 1328*g**2 - 6720*g + 7200.
2*(g - 2)**2*(g + 30)**2
Determine y, given that -2*y**2/11 - 112*y - 17248 = 0.
-308
Solve -3*s**4/2 + 240*s**3 - 19671*s**2/2 + 18723*s = 0 for s.
0, 2, 79
Let -54289*n**2/4 + 233*n - 1 = 0. Calculate n.
2/233
Factor 2*i**4 - 158*i**3 + 756*i**2 - 1192*i + 592.
2*(i - 74)*(i - 2)**2*(i - 1)
Factor -b**4/3 - 298*b**3/3 - 7499*b**2 - 44104*b/3 - 21904/3.
-(b + 1)**2*(b + 148)**2/3
Factor -2*k**4/7 - 46*k**3/7 - 18*k**2 - 122*k/7 - 40/7.
-2*(k + 1)**3*(k + 20)/7
Factor k**4 - 2*k**3 - 5*k**2 + 6*k.
k*(k - 3)*(k - 1)*(k + 2)
Factor 178*u**3/5 - 882*u**2/5 - 8*u.
2*u*(u - 5)*(89*u + 4)/5
Find a, given that -8*a**3 - 50*a**2 - 76*a - 16 = 0.
-4, -2, -1/4
Let v**3/3 - 779*v**2 + 454741*v + 1366561/3 = 0. What is v?
-1, 1169
Suppose -8*t**2/3 - 5*t/3 + 1 = 0. Calculate t.
-1, 3/8
Factor o**5/3 + 7*o**4/3 + 6*o**3 + 20*o**2/3 + 8*o/3.
o*(o + 1)*(o + 2)**3/3
Suppose -5*l**3/3 + 590*l**2/3 + 1865*l/3 - 6050/3 = 0. What is l?
-5, 2, 121
Factor s**5 + 9*s**4 + 26*s**3 + 34*s**2 + 21*s + 5.
(s + 1)**4*(s + 5)
Factor 2*i**4/5 - 4*i**3/5 - 2*i**2/5 + 4*i/5.
2*i*(i - 2)*(i - 1)*(i + 1)/5
Factor -3*i**2/8 + 603*i/8.
-3*i*(i - 201)/8
Solve 28*g**3/5 + 2232*g**2/5 + 7872*g/5 - 2432/5 = 0 for g.
-76, -4, 2/7
Factor -4*v**2 + 96*v.
-4*v*(v - 24)
Determine w so that 2*w**3 - 160*w**2 + 616*w - 608 = 0.
2, 76
Suppose -11*k**4/7 - 24*k**3/7 + k**2 + 24*k/7 + 4/7 = 0. Calculate k.
-2, -1, -2/11, 1
Determine c so that -c**4/2 - 3*c**3/2 + 10*c**2 + 42*c + 40 = 0.
-4, -2, 5
Factor -a**2/3 - 278*a/3 - 19321/3.
-(a + 139)**2/3
Factor -4*l**2 + 1192*l + 2400.
-4*(l - 300)*(l + 2)
Factor -7*j**2/6 - 221*j/2 + 95/3.
-(j + 95)*(7*j - 2)/6
Find p, given that 2*p**2/15 - 64*p/3 + 2560/3 = 0.
80
Suppose -5*a**5 - 75*a**4 + 260*a**3 - 180*a**2 = 0. What is a?
-18, 0, 1, 2
What is a in a**2 + 6*a - 7 = 0?
-7, 1
What is z in 33*z**5 - 248*z**4 + 99*z**3 + 144*z**2 - 28*z = 0?
-2/3, 0, 2/11, 1, 7
Determine t so that -4*t**4 + 56*t**3 + 4*t**2 - 56*t = 0.
-1, 0, 1, 14
Factor 3*b**4 - 9*b**3 + 12*b.
3*b*(b - 2)**2*(b + 1)
Suppose 5*n**5 + 55*n**4 + 45*n**3 - 55*n**2 - 50*n = 0. What is n?
-10, -1, 0, 1
Let -r**3 + 27*r**2 + 120*r - 5200 = 0. Calculate r.
-13, 20
Factor -4*p**4 + 100*p**3 - 744*p**2 + 1904*p - 1568.
-4*(p - 14)*(p - 7)*(p - 2)**2
Factor 4*j**2 - 7424*j + 3444736.
4*(j - 928)**2
Solve -5*a**2 - 930*a + 935 = 0.
-187, 1
Determine v, given that -15*v**4 - 1805*v**3 + 11190*v**2 - 22620*v + 15160 = 0.
-379/3, 2
Solve 12*q**3 - 288*q**2 + 783*q + 12615 = 0 for q.
-5, 29/2
Find r, given that 16*r**2 - 308*r + 612 = 0.
9/4, 17
Solv