m**3 + 75*m**2 - 295*m + 225 = 0.
1, 5, 9
Solve 3*w**4 - 21*w**3 - 3*w**2 + 21*w = 0 for w.
-1, 0, 1, 7
Solve -3*h**5 + 45*h**4 - 222*h**3 + 330*h**2 + 225*h - 375 = 0.
-1, 1, 5
Factor -o**2/3 + 292*o/3 - 21316/3.
-(o - 146)**2/3
Suppose -d**4/2 - 31*d**3/2 + 18*d**2 + 62*d - 64 = 0. What is d?
-32, -2, 1, 2
Find q such that -4*q**2 + 148*q - 144 = 0.
1, 36
Suppose 2*s**5 - 2*s**4 - 2*s**3 + 2*s**2 = 0. Calculate s.
-1, 0, 1
Factor 5*s**2 - 34*s - 39.
(s + 1)*(5*s - 39)
Suppose -4*m**4 + 10*m**3/3 + 26*m**2/3 + 4*m/3 = 0. Calculate m.
-1, -1/6, 0, 2
What is f in -5*f**3 - 1525*f**2 + 3085*f + 4605 = 0?
-307, -1, 3
Solve 22*q**5/3 - 40*q**4 + 42*q**3 + 20*q**2/3 - 16*q = 0.
-6/11, 0, 1, 4
Factor h**2 - 30*h + 225.
(h - 15)**2
Factor w**4/2 - w**3 - 12*w**2 + 25*w - 25/2.
(w - 5)*(w - 1)**2*(w + 5)/2
Factor 30*b**3 + 65*b**2 - 230*b - 40.
5*(b - 2)*(b + 4)*(6*b + 1)
Suppose 3*c**5/7 + 3*c**4 + 36*c**3/7 = 0. What is c?
-4, -3, 0
Factor 2*g**4 - 48*g**3 + 236*g**2 + 624*g + 338.
2*(g - 13)**2*(g + 1)**2
Determine n so that n**3/4 - 5*n**2 + 37*n/4 - 9/2 = 0.
1, 18
Let -q**2/5 - 276*q/5 + 277/5 = 0. What is q?
-277, 1
Factor -2*v**4 + 8*v**3 + 10*v**2 - 72*v + 72.
-2*(v - 3)*(v - 2)**2*(v + 3)
Determine t, given that 10*t**5 + 18*t**4 - 84*t**3 + 16*t**2 = 0.
-4, 0, 1/5, 2
Factor -5*l**3 + 55*l**2 + 280*l + 300.
-5*(l - 15)*(l + 2)**2
Factor 3*y**2/2 - 177*y + 10443/2.
3*(y - 59)**2/2
Find w, given that 5*w**2/3 + 9400*w/3 = 0.
-1880, 0
Factor -2*n**3 - 30*n**2 - 16*n + 168.
-2*(n - 2)*(n + 3)*(n + 14)
Factor 2*l**2 - 6*l - 80.
2*(l - 8)*(l + 5)
Solve -5*x**4 - 50*x**3 - 160*x**2 - 160*x = 0.
-4, -2, 0
Factor -20*q**2 + 884*q - 176.
-4*(q - 44)*(5*q - 1)
Factor -128*s**4/11 + 18848*s**3/11 - 686738*s**2/11 - 523032*s/11 - 98568/11.
-2*(s - 74)**2*(8*s + 3)**2/11
Suppose 2*q**4 + 92*q**3 + 984*q**2 + 1700*q + 806 = 0. Calculate q.
-31, -13, -1
Find z such that 5*z**5/2 + 5*z**4 - 225*z**3 - 680*z**2 - 1355*z/2 - 225 = 0.
-9, -1, 10
Factor -2*s**2/13 + 3032*s/13 - 6056/13.
-2*(s - 1514)*(s - 2)/13
Find l, given that 12*l**5/5 + 56*l**4/5 + 64*l**3/5 + 8*l**2/5 - 12*l/5 = 0.
-3, -1, 0, 1/3
Factor 2*j**4/15 + 4328*j**3/15 + 1170724*j**2/5 + 1266723368*j/15 + 171324335522/15.
2*(j + 541)**4/15
Factor -4*z**3 - 1020*z**2 - 65532*z - 64516.
-4*(z + 1)*(z + 127)**2
Find x, given that -27*x**4/5 - 18*x**3 - 12*x**2/5 + 42*x/5 - 9/5 = 0.
-3, -1, 1/3
Let 147*h**4/5 + 903*h**3/5 + 909*h**2/5 - 1323*h/5 + 324/5 = 0. Calculate h.
-4, -3, 3/7
Solve 5*y**4/3 - 215*y**3/3 - 15*y**2 + 645*y = 0 for y.
-3, 0, 3, 43
Factor 8*v**3 + 71*v**2 + 55*v - 8.
(v + 1)*(v + 8)*(8*v - 1)
Suppose 2*b**5 + 2084*b**4 + 536600*b**3 - 3269776*b**2 + 6573056*b - 4393216 = 0. What is b?
-524, 2
Factor 4*l**3 - 44*l**2 + 16*l + 240.
4*(l - 10)*(l - 3)*(l + 2)
Suppose -5*v**3 - 40*v**2 + 100*v = 0. What is v?
-10, 0, 2
Solve -3*r**5 + 132*r**4 - 1152*r**3 - 6912*r**2 = 0.
-4, 0, 24
Factor 5*m**3 - 550*m**2 + 15125*m.
5*m*(m - 55)**2
Determine n so that -5*n**3/4 - 5*n**2 = 0.
-4, 0
Determine z, given that -z**4/6 + 2*z**3/3 - 8*z/3 + 8/3 = 0.
-2, 2
Find q, given that 3*q**5 + 87*q**4 + 261*q**3 - 5211*q**2 + 13608*q - 8748 = 0.
-18, 1, 3
Let -2*f**5/5 - 48*f**4/5 + 214*f**3/5 - 276*f**2/5 + 112*f/5 = 0. What is f?
-28, 0, 1, 2
Let -50*y**3 - 930*y**2 - 1392*y - 544 = 0. Calculate y.
-17, -4/5
Solve 3*n**4/4 + 633*n**3/2 + 133563*n**2/4 = 0 for n.
-211, 0
Factor 3*h**2/2 - 60*h.
3*h*(h - 40)/2
Factor -j**3/5 - 44*j**2/5 - 164*j/5 - 32.
-(j + 2)**2*(j + 40)/5
Let -20*t**2 + 375*t - 270 = 0. What is t?
3/4, 18
Factor 2*q**2 + 12*q + 18.
2*(q + 3)**2
Factor 5*d**3 - 875*d**2 + 16000*d - 77500.
5*(d - 155)*(d - 10)**2
Factor -3*x**3/4 - 81*x**2 - 2187*x.
-3*x*(x + 54)**2/4
Determine s, given that 2*s**5/7 - 22*s**4/7 + 54*s**3/7 - 50*s**2/7 + 16*s/7 = 0.
0, 1, 8
Let 2*u**3 - 224*u**2 - 454*u - 228 = 0. Calculate u.
-1, 114
Factor -2*r**2/5 + 86*r/5 + 96.
-2*(r - 48)*(r + 5)/5
Solve 2*a**4 - 54*a**3 + 232*a**2 - 264*a = 0 for a.
0, 2, 3, 22
Determine w so that 2*w**2/9 + 22*w/3 + 124/9 = 0.
-31, -2
Factor 3*r**2/4 - 18*r.
3*r*(r - 24)/4
Factor -75*x**5/4 - 285*x**4 - 963*x**3 + 912*x**2 - 192*x.
-3*x*(x + 8)**2*(5*x - 2)**2/4
Let 2*l**4/3 + 256*l**3/3 + 1246*l**2/3 + 1976*l/3 + 328 = 0. Calculate l.
-123, -2, -1
Find m, given that 2*m**3 + 10*m**2 - 12*m = 0.
-6, 0, 1
Factor -8*o**3/5 + 142*o**2/5 - 612*o/5 - 162/5.
-2*(o - 9)**2*(4*o + 1)/5
Suppose -v**4/4 + 15*v**3/2 - 54*v**2 + 297*v/2 - 567/4 = 0. What is v?
3, 21
Factor q**4/9 - 17*q**3/9 - 37*q**2/9 - 19*q/9.
q*(q - 19)*(q + 1)**2/9
Factor 4*u**2/5 - 336*u/5 + 332/5.
4*(u - 83)*(u - 1)/5
Suppose 5*w**4 - 200*w**3 - 230*w**2 + 1040*w - 615 = 0. Calculate w.
-3, 1, 41
Factor u**2/5 - 1242*u/5 - 1243/5.
(u - 1243)*(u + 1)/5
Factor -p**2/5 + 17*p/5.
-p*(p - 17)/5
Factor 4*r**3 + 1392*r**2 - 1396*r.
4*r*(r - 1)*(r + 349)
Factor 2*a**4/7 - 2*a**3/7 - 16*a**2/7 + 24*a/7.
2*a*(a - 2)**2*(a + 3)/7
What is z in -12*z**3 - 10*z**2 + 2*z = 0?
-1, 0, 1/6
Solve -o**5/8 - 373*o**4/8 - 35335*o**3/8 - 102671*o**2/8 + 185*o + 34225/2 = 0.
-185, -2, 1
Factor 9*t**3/2 + 33*t**2/2 + 9*t.
3*t*(t + 3)*(3*t + 2)/2
Solve -3*z**4 + 21*z**3 - 48*z**2 + 36*z = 0 for z.
0, 2, 3
Factor -150*j**3/11 - 27240*j**2/11 + 10914*j/11 - 1092/11.
-6*(j + 182)*(5*j - 1)**2/11
Suppose -v**4/6 - 29*v**3 - 7909*v**2/6 - 4930*v - 14450/3 = 0. Calculate v.
-85, -2
Find m, given that 44*m**5 + 222*m**4 - 122*m**3 - 754*m**2 - 474*m - 20 = 0.
-5, -1, -1/22, 2
Solve -b**2 - 2*b + 323 = 0.
-19, 17
Let -18*p**3 + 88*p**2 - 98*p - 12 = 0. Calculate p.
-1/9, 2, 3
What is w in 4*w**2 - 24320*w + 36966400 = 0?
3040
Let -t**5/3 + 34*t**3/3 + 92*t**2/3 + 29*t + 28/3 = 0. Calculate t.
-4, -1, 7
Suppose 9*t**5/4 - 8*t**4 - 7*t**3/4 + 29*t**2/2 + 6*t = 0. What is t?
-1, -4/9, 0, 2, 3
Solve 2*i**2 - 364*i + 362 = 0 for i.
1, 181
Suppose -2*n**5/11 - 46*n**4/11 + 6*n**3/11 + 134*n**2/11 - 92*n/11 = 0. Calculate n.
-23, -2, 0, 1
Determine h so that -h**2/4 - h + 5/4 = 0.
-5, 1
Find c, given that -5*c**4 - 5*c**3 + 3375*c**2 + 37125*c + 33750 = 0.
-15, -1, 30
Suppose 8*h**3/21 - 122*h**2/21 - 242*h/21 + 68/21 = 0. What is h?
-2, 1/4, 17
Factor -r**3/2 - 77*r**2.
-r**2*(r + 154)/2
Factor 3*z**2 + 138*z + 1539.
3*(z + 19)*(z + 27)
Factor -9*u**3/8 + 3495*u**2/4 - 169944*u + 112908.
-3*(u - 388)**2*(3*u - 2)/8
Determine z so that -3*z**5 - 3*z**4 + 69*z**3 + 3*z**2 - 186*z + 120 = 0.
-5, -2, 1, 4
Factor -5*s**4 - 90*s**3 + 960*s**2 + 2170*s + 1125.
-5*(s - 9)*(s + 1)**2*(s + 25)
Factor 55*l**3 - 650*l**2 + 1805*l + 350.
5*(l - 7)*(l - 5)*(11*l + 2)
Solve -5*q**4 + 5*q**3 = 0.
0, 1
Determine c so that -10*c**5/7 + 54*c**4/7 - 10*c**3 - 30*c**2/7 + 80*c/7 - 24/7 = 0.
-1, 2/5, 1, 2, 3
What is v in -v**5 + 2*v**4 + 7*v**3 - 8*v**2 - 12*v = 0?
-2, -1, 0, 2, 3
Let -2*s**2 - 138*s - 396 = 0. Calculate s.
-66, -3
Factor 2*k**5/11 - 12*k**3/11 + 16*k**2/11 - 6*k/11.
2*k*(k - 1)**3*(k + 3)/11
Let -q**2 + 146*q - 5329 = 0. Calculate q.
73
Factor -2*q**2 - 988*q.
-2*q*(q + 494)
Factor g**4/2 + g**3 - 3*g**2/2.
g**2*(g - 1)*(g + 3)/2
Factor 30*q**3 + 63*q**2 + 36*q + 3.
3*(q + 1)**2*(10*q + 1)
Determine p so that p**3/3 + 3*p**2 - 10*p/3 = 0.
-10, 0, 1
Solve -12*f**4 + 2487*f**3 + 1875*f**2 - 624*f = 0.
-1, 0, 1/4, 208
Determine s, given that -15*s**3 + 1540*s**2 - 3985*s - 1500 = 0.
-1/3, 3, 100
Factor -4*z**3/5 - 42*z**2/5 + 72*z - 594/5.
-2*(z - 3)**2*(2*z + 33)/5
Factor -16*q**2/7 + 132*q/7 - 20.
-4*(q - 7)*(4*q - 5)/7
Factor 21*l**2 + 132*l + 36.
3*(l + 6)*(7*l + 2)
Find j, given that 3*j**2 + 228*j + 4332 = 0.
-38
Factor -3*p**3 + 618*p**2 - 35211*p + 338724.
-3*(p - 97)**2*(p - 12)
Factor 361*y**5 + 836*y**4 + 237*y**3 + 18*y**2.
y**2*(y + 2)*(19*y + 3)**2
Factor -5*a**4 + 10*a**3 + 20*a**2 - 10*a - 15.
-5*(a - 3)*(a - 1)*(a + 1)**2
Find w, given that 2*w**4/15 - 4*w**3/3 - 154*w**2/15 + 196*w/5 = 0.
-7, 0, 3, 14
Factor -2*t**2/3 - 6008*t/3 - 4512008/3.
-2*(t + 1502)**2/3
Find s such that 4*s**5/3 + 4*s**4/3 - 104*s**3/3 - 176*s**2/3 + 352*s/3 + 640/3 = 0.
-4, -2, 2, 5
Determine w, given that -2*w**3/13 + 100*w**2/13 - 88*w - 208 = 0.
-2, 26
Suppose g**3/2 - 27*g**2/4 + 57*g/4 - 11/2 = 0. Calculate g.
1/2, 2, 11
Find u, given that -8*u**5 - 233*u**4/2 - 1325*u**3/4 + 2735*u**2/4 - 212*u - 16 = 0.
-8, -