60*d**3 + 69*d**2 + 18*d.
-3*d*(d - 1)*(d + 3)*(9*d + 2)
Factor -2*h**4 + 14*h**3 - 20*h**2.
-2*h**2*(h - 5)*(h - 2)
Factor f**3/2 - 7*f**2/2 - 21*f/2 + 27/2.
(f - 9)*(f - 1)*(f + 3)/2
Factor 3*b**4 - 66*b**3 - 561*b**2 - 1356*b - 1044.
3*(b - 29)*(b + 2)**2*(b + 3)
Factor 4*l**2 - 56*l - 128.
4*(l - 16)*(l + 2)
Solve -4*b**3 - 1644*b**2 - 164736*b + 865280 = 0 for b.
-208, 5
Determine w so that 5*w**4 + 40*w**3 - 505*w**2 - 2340*w = 0.
-13, -4, 0, 9
Factor m**5/4 + 3*m**4/2 - 3*m**3/2 - 7*m**2 + 45*m/4 - 9/2.
(m - 1)**3*(m + 3)*(m + 6)/4
Find h, given that h**3/7 - 85*h**2/7 + 167*h/7 - 83/7 = 0.
1, 83
Determine h so that -h**3/9 + 17*h**2/3 - 16*h/3 - 100/9 = 0.
-1, 2, 50
Solve -3*r**5/2 - 111*r**4/2 + 60*r**3 + 114*r**2 = 0 for r.
-38, -1, 0, 2
Solve 3*b**2 + 1578*b + 207507 = 0 for b.
-263
What is k in -k**3/4 - 207*k**2/4 - 411*k/4 - 205/4 = 0?
-205, -1
Determine n, given that -3*n**2/5 + 102*n/5 - 72 = 0.
4, 30
Suppose m**4/2 - 3*m**3/2 - 1159*m**2/2 + 15603*m/2 + 8379 = 0. What is m?
-38, -1, 21
Solve -y**3/4 - 49*y**2/4 - 47*y/2 = 0 for y.
-47, -2, 0
Factor -128*l**4/3 - 2144*l**3/3 + 1752*l**2 - 1350*l + 342.
-2*(l + 19)*(4*l - 3)**3/3
Factor -n**2/2 - 5*n - 25/2.
-(n + 5)**2/2
Factor -2*w**3/3 - 62*w**2/3 - 448*w/3 + 512/3.
-2*(w - 1)*(w + 16)**2/3
Find k such that -2*k**2 - 1144*k = 0.
-572, 0
Determine m so that 4*m**2 - 760*m + 36100 = 0.
95
Suppose w**3 - 198*w**2/5 - 16*w = 0. Calculate w.
-2/5, 0, 40
Suppose -6*i**2 + 31*i/5 - 8/5 = 0. Calculate i.
1/2, 8/15
Factor 25*i**4 - 15*i**3 - 10*i**2.
5*i**2*(i - 1)*(5*i + 2)
Factor 2*i**2/13 - 40*i/13 + 38/13.
2*(i - 19)*(i - 1)/13
Suppose -2*r**2/3 + 76*r = 0. Calculate r.
0, 114
Find r such that 2*r**3 - 826*r**2 + 1646*r - 822 = 0.
1, 411
Suppose -4*b**2 - 320*b - 6400 = 0. What is b?
-40
Factor s**5/4 + 411*s**4/4 + 407*s**3/4 - 1235*s**2/4 - 513*s - 205.
(s - 2)*(s + 1)**3*(s + 410)/4
Factor 4*u**5 + 64*u**4 - 644*u**3.
4*u**3*(u - 7)*(u + 23)
Factor 57*k**2/2 + k.
k*(57*k + 2)/2
What is g in -4*g**3 + 864*g**2 - 47508*g + 91592 = 0?
2, 107
Suppose -3*t**5 + 78*t**4 - 648*t**3 + 1458*t**2 + 2187*t = 0. What is t?
-1, 0, 9
Factor -2*v**4/11 + 458*v**3/11 - 25990*v**2/11 - 26450*v/11.
-2*v*(v - 115)**2*(v + 1)/11
Let -h**4/4 - h**3/2 + 7*h**2/4 + 5*h + 3 = 0. Calculate h.
-2, -1, 3
Factor o**4/2 - 247*o**3/2 + 10209*o**2 - 285770*o + 275684.
(o - 82)**3*(o - 1)/2
Factor 2*h**4 - 14*h**3 - 78*h**2 - 106*h - 44.
2*(h - 11)*(h + 1)**2*(h + 2)
Find x, given that 3*x**3/5 + 174*x**2/5 + 171*x/5 = 0.
-57, -1, 0
Factor -3*w**3 + 24*w**2 - 63*w + 54.
-3*(w - 3)**2*(w - 2)
Let 3*n**3 + 81*n**2 - 84*n = 0. Calculate n.
-28, 0, 1
Factor -u**3 + 8*u**2 - 17*u + 10.
-(u - 5)*(u - 2)*(u - 1)
Find n such that 5*n**4/3 + 140*n**3/3 + 275*n**2 - 750*n = 0.
-15, 0, 2
Find p such that -2*p**3/3 + 586*p**2/3 - 41422*p/3 - 222010/3 = 0.
-5, 149
Factor -3*a**2 - 2682*a - 599427.
-3*(a + 447)**2
Factor v**2/4 + 1550*v + 2402500.
(v + 3100)**2/4
Factor 5*m**5 - 95*m**4 + 255*m**3 - 245*m**2 + 80*m.
5*m*(m - 16)*(m - 1)**3
Find t, given that -3*t**4/2 + 75*t**3/2 + 594*t**2 + 2568*t + 3552 = 0.
-4, 37
Let 4*q**2 + 80*q + 300 = 0. What is q?
-15, -5
Find k, given that 4*k**4 - 8*k**3 + 4*k**2 = 0.
0, 1
Let 5*i**4 + 25*i**3 - 100*i - 80 = 0. Calculate i.
-4, -2, -1, 2
Determine v so that -v**5 - 8*v**4 - 17*v**3 + 14*v**2 + 84*v + 72 = 0.
-3, -2, 2
What is j in 15*j**4/4 + 21*j**3 + 39*j**2/4 - 15*j/2 = 0?
-5, -1, 0, 2/5
Factor 2*l**2/11 + 16*l/11 - 18/11.
2*(l - 1)*(l + 9)/11
Suppose 22*o**5/5 + 436*o**4/5 - 102*o**3/5 - 436*o**2/5 + 16*o = 0. What is o?
-20, -1, 0, 2/11, 1
Factor -3*p**4/8 + 3*p**3/2 - 3*p**2/8 - 9*p/4.
-3*p*(p - 3)*(p - 2)*(p + 1)/8
Factor -3*t**2/5 - 7947*t/5 - 7944/5.
-3*(t + 1)*(t + 2648)/5
Solve 4*t**2 - 1392*t + 121104 = 0.
174
Let -3*z**4 + 24*z**3 + 27*z**2 - 384*z + 336 = 0. Calculate z.
-4, 1, 4, 7
Determine k, given that -2*k**3/9 + 8*k**2/3 + 10*k = 0.
-3, 0, 15
Find h such that -80*h**4 + 212*h**3 + 128*h**2 - 140*h + 24 = 0.
-1, 1/4, 2/5, 3
Factor 5*f**4 + 10*f**3 - 20*f**2 - 40*f.
5*f*(f - 2)*(f + 2)**2
Find q such that -2*q**5/3 + 8*q**4/3 + 8*q**3 + 4*q**2/3 - 22*q/3 - 4 = 0.
-1, 1, 6
Factor 2*a**2/7 + 8*a - 58/7.
2*(a - 1)*(a + 29)/7
Determine i so that i**2 + 12*i - 45 = 0.
-15, 3
Factor 5*x**3 - 75*x**2 + 115*x + 195.
5*(x - 13)*(x - 3)*(x + 1)
Factor 5*s**2 + 190*s.
5*s*(s + 38)
Factor 2*j**3/17 - 20*j**2/17 + 54*j/17 - 36/17.
2*(j - 6)*(j - 3)*(j - 1)/17
Find f, given that 5*f**2 - 1180*f + 2340 = 0.
2, 234
Factor -3*v**2/4 + 3*v/4 + 15.
-3*(v - 5)*(v + 4)/4
Factor -h**3/6 - 2*h**2 + 85*h/6 + 56.
-(h - 7)*(h + 3)*(h + 16)/6
Find r, given that 2*r**3 - 12*r**2 + 18*r = 0.
0, 3
Determine x so that 10*x**5/7 + 254*x**4/7 + 100*x**3/7 = 0.
-25, -2/5, 0
Factor -138*m**2 - 1514*m + 44.
-2*(m + 11)*(69*m - 2)
Determine u, given that -10*u**2 + 355*u - 3150 = 0.
35/2, 18
Determine x, given that -4*x**5/5 - 2*x**4 + 8*x**3/5 + 22*x**2/5 - 8*x/5 - 8/5 = 0.
-2, -1/2, 1
Determine w, given that 4*w**3 - 672*w**2 - 4*w + 672 = 0.
-1, 1, 168
Suppose -4*v**4 + 52*v**3 - 76*v**2 - 132*v = 0. What is v?
-1, 0, 3, 11
What is u in -2*u**3/9 - 58*u**2/3 - 38*u - 170/9 = 0?
-85, -1
Let 5*i**3 + 20*i**2 - 5*i - 20 = 0. Calculate i.
-4, -1, 1
Factor 4*r**2/7 + 8940*r/7 + 8936/7.
4*(r + 1)*(r + 2234)/7
Solve -4*v**2 + 100*v - 264 = 0.
3, 22
Determine q so that 5*q**2 + 240*q + 2635 = 0.
-31, -17
Factor -2*d**3/3 + 74*d**2/3 - 196*d/3 - 272/3.
-2*(d - 34)*(d - 4)*(d + 1)/3
Let 8*f**3 + 28*f**2 + 12*f = 0. Calculate f.
-3, -1/2, 0
Determine y, given that 27*y**4/5 - 1047*y**3/5 + 5598*y**2/5 + 8208*y/5 + 1536/5 = 0.
-1, -2/9, 8, 32
Suppose 2*g**5/9 - 1250*g**4/9 + 312500*g**3/9 - 39062500*g**2/9 + 2441406250*g/9 - 61035156250/9 = 0. Calculate g.
125
Factor f**2/4 - 343*f/4 - 519/2.
(f - 346)*(f + 3)/4
Suppose -m**5/2 + 85*m**4 - 3860*m**3 + 21160*m**2 - 41000*m + 26896 = 0. What is m?
2, 82
Solve -4*x**3/7 + 24*x**2/7 = 0.
0, 6
Determine x, given that 2*x**4 + 30*x**3 - 142*x**2 + 186*x - 76 = 0.
-19, 1, 2
Factor 4*a**3 - 364*a**2 + 8460*a - 8100.
4*(a - 45)**2*(a - 1)
Let 4*g**4 - 8*g**3 - 32*g**2 + 72*g - 36 = 0. What is g?
-3, 1, 3
Let 10*w**3 - 296*w**2/3 + 440*w/3 + 64/3 = 0. Calculate w.
-2/15, 2, 8
Find y such that y**3/3 - 88*y**2/3 = 0.
0, 88
Let v**5 - 22*v**4 + 20*v**3 + 22*v**2 - 21*v = 0. What is v?
-1, 0, 1, 21
Let 2*a**2/9 - 44*a/3 - 208 = 0. What is a?
-12, 78
Let -6*s**5 - 57*s**4 - 69*s**3 + 33*s**2 + 75*s + 24 = 0. Calculate s.
-8, -1, -1/2, 1
Let -84*b**3 + 544*b**2 - 996*b + 360 = 0. Calculate b.
10/21, 3
Find a, given that -66*a**5 + 664*a**4 - 1624*a**3 - 564*a**2 + 1690*a - 100 = 0.
-1, 2/33, 1, 5
Suppose -d**3/7 - 29*d**2/7 - 4*d = 0. What is d?
-28, -1, 0
Suppose j**4 + 289*j**3 - 581*j**2 + 291*j = 0. Calculate j.
-291, 0, 1
Factor i**3/2 - 37*i**2/4 + 13*i - 17/4.
(i - 17)*(i - 1)*(2*i - 1)/4
Suppose 26*w**5/5 - 54*w**4/5 - 20*w**3 + 12*w**2 + 74*w/5 - 6/5 = 0. What is w?
-1, 1/13, 1, 3
Solve 5*w**3 + 90*w**2 = 0 for w.
-18, 0
Factor 8*d**3/5 - 238*d**2/5 - 12*d.
2*d*(d - 30)*(4*d + 1)/5
Factor f**4/2 - 7*f**3/2 + 3*f**2 + 14*f - 20.
(f - 5)*(f - 2)**2*(f + 2)/2
Factor -3*x**4 - 447*x**3 + 1362*x**2 - 912*x.
-3*x*(x - 2)*(x - 1)*(x + 152)
Factor -f**2 + 8*f + 9.
-(f - 9)*(f + 1)
Factor -2*s**2 + 50*s + 52.
-2*(s - 26)*(s + 1)
Determine o so that 2*o**5/9 - 28*o**4/9 + 14*o**3 - 164*o**2/9 - 128*o/9 + 64/3 = 0.
-1, 1, 4, 6
Suppose -2*c**5/17 + 12*c**4 + 422*c**3/17 - 624*c**2/17 = 0. Calculate c.
-3, 0, 1, 104
Suppose k**2/5 + 497*k/5 - 498/5 = 0. What is k?
-498, 1
Let v**5 - 7*v**4 + 13*v**3 - v**2 - 14*v + 8 = 0. What is v?
-1, 1, 2, 4
What is d in 27*d**5/4 - 81*d**4 + 90*d**3 + 416*d**2 + 332*d + 80 = 0?
-2/3, 4, 10
Factor 3*d**2/2 + 93*d/2 - 210.
3*(d - 4)*(d + 35)/2
Solve 3*v**2 - 33*v + 30 = 0 for v.
1, 10
Factor 14*w**2 + 236*w - 34.
2*(w + 17)*(7*w - 1)
Factor 2*l**4 - 24*l**3 + 22*l**2.
2*l**2*(l - 11)*(l - 1)
Determine s so that -4*s**3 + 140*s**2 - 1292*s + 1156 = 0.
1, 17
Find q such that -2*q**4/11 + 58*q**3/11 - 56*q**2/11 = 0.
0, 1, 28
Find r such that 4*r**4/3 + 22*r**3/3 + 28*r**2/3 = 0.
-7/2, -2, 0
Determine n, given that 297*n**5/4 - 531*n**4/4 - 2127*n**3/4 - 1845*n**2/4 - 309*n/2 - 18 = 0.
-1, -6/11, -1/3, 4
Factor -4*p**3 + 1696*p**2 - 169