ven that -d**2/2 = 0.
0
Factor -4*m**2/5 + 456*m - 2276/5.
-4*(m - 569)*(m - 1)/5
Factor 2*z**4/9 + 2*z**3/9 - 4*z**2/3 - 8*z/9 + 16/9.
2*(z - 2)*(z - 1)*(z + 2)**2/9
Factor 2*z**3/9 + 14*z**2/9 - 10*z/9 - 50/3.
2*(z - 3)*(z + 5)**2/9
Factor i**3/4 + 8695*i**2/4 + 18905103*i/4 + 18896409/4.
(i + 1)*(i + 4347)**2/4
Factor 3*m**3/5 + 378*m**2/5 - 3*m/5 - 378/5.
3*(m - 1)*(m + 1)*(m + 126)/5
Suppose -3*z**2 + 9*z - 6 = 0. What is z?
1, 2
Solve -2*t**5/21 - 26*t**4/21 - 38*t**3/7 - 190*t**2/21 - 100*t/21 = 0 for t.
-5, -2, -1, 0
Determine m, given that 25*m**5 + 60*m**4 + 45*m**3 + 10*m**2 = 0.
-1, -2/5, 0
Suppose -g**3/8 + 3*g**2/4 - 11*g/8 + 3/4 = 0. Calculate g.
1, 2, 3
Factor 14*t**3/3 + 110*t**2/3 + 56*t + 24.
2*(t + 1)*(t + 6)*(7*t + 6)/3
Solve -2*u**3/3 - 426*u**2 - 90738*u - 6442398 = 0.
-213
Suppose -12*k**5 + 8*k**4 + 108*k**3 - 24*k**2 - 176*k + 96 = 0. Calculate k.
-2, 2/3, 1, 3
Suppose -5*u**4 - 90*u**3 - 485*u**2 - 720*u - 320 = 0. What is u?
-8, -1
Determine t, given that 2*t**2/7 + 1062*t/7 - 152 = 0.
-532, 1
Solve 3*y**3 + 6*y**2 + 3*y = 0.
-1, 0
Factor 3*w**2/4 - 33*w + 129/4.
3*(w - 43)*(w - 1)/4
Suppose -16*l**4/7 + 92*l**3/7 + 40*l**2/7 - 92*l/7 - 24/7 = 0. What is l?
-1, -1/4, 1, 6
Factor -8*v**2 - 26*v + 24.
-2*(v + 4)*(4*v - 3)
Find q such that -2*q**4/3 - 13*q**3/3 - 10*q**2 - 28*q/3 - 8/3 = 0.
-2, -1/2
Find d, given that 3*d**3 + 261*d**2 - 1080*d + 1092 = 0.
-91, 2
Factor -2*g**4/5 - 4*g**3 - 72*g**2/5 - 112*g/5 - 64/5.
-2*(g + 2)**3*(g + 4)/5
Find k such that -4*k**4 + 96*k**3 - 236*k**2 - 384*k + 1008 = 0.
-2, 2, 3, 21
Let -p**4 - 21*p**3 + 45*p**2 - 23*p = 0. Calculate p.
-23, 0, 1
Let -2*m**5/9 + 170*m**4/9 - 2944*m**3/9 - 29624*m**2/9 = 0. Calculate m.
-7, 0, 46
Factor t**5/5 + 46*t**4/5 + 618*t**3/5 + 884*t**2/5 - 19363*t/5 + 29478/5.
(t - 3)*(t - 2)*(t + 17)**3/5
Factor 15*y**3/4 + 159*y**2 + 6867*y/4 + 1323/2.
3*(y + 21)**2*(5*y + 2)/4
Find y such that -y**3 + 8*y**2 = 0.
0, 8
Factor -3*t**2/4 - 1821*t/2 - 1105347/4.
-3*(t + 607)**2/4
Suppose -a**2/4 - 217*a/4 + 627 = 0. Calculate a.
-228, 11
Solve 2*l**2 - 6750*l + 6748 = 0.
1, 3374
Factor -9*z**3 - 6*z**2 + 21*z - 6.
-3*(z - 1)*(z + 2)*(3*z - 1)
Let 2*w**3 + 22*w**2 + 36*w = 0. What is w?
-9, -2, 0
Factor -4*b**4 + 300*b**3 + 612*b**2 + 308*b.
-4*b*(b - 77)*(b + 1)**2
Factor 11*u**2/8 + 727*u/8 + 33/4.
(u + 66)*(11*u + 1)/8
Factor -2*n**3/11 - 480*n**2/11 - 29274*n/11 - 56644/11.
-2*(n + 2)*(n + 119)**2/11
Let 4*a**4/3 + 16*a**3/3 + 4*a**2 = 0. What is a?
-3, -1, 0
Find k, given that k**4/3 - 60*k**3 - 183*k**2 - 4*k/3 + 244 = 0.
-2, 1, 183
Determine w, given that w**4 - 147*w**3 - 3*w**2 + 439*w + 294 = 0.
-1, 2, 147
Factor 27*z**3 + 1884*z**2 - 2337*z + 426.
3*(z - 1)*(z + 71)*(9*z - 2)
Find a, given that 7*a**4/2 - 5*a**3/2 - 15*a**2 + 10*a + 4 = 0.
-2, -2/7, 1, 2
Find y such that -5*y**3 - 45*y**2 + 5*y + 45 = 0.
-9, -1, 1
Let 4*l**5/9 + 4*l**4 + 32*l**3/9 = 0. Calculate l.
-8, -1, 0
Let -15*x**4/2 + 12*x**3 + 57*x**2/2 + 9*x = 0. What is x?
-1, -2/5, 0, 3
Factor 4*h**3 + 1392*h**2 + 4148*h + 2760.
4*(h + 1)*(h + 2)*(h + 345)
Let -2*z**5 - 140*z**4 - 2444*z**3 + 416*z**2 + 7070*z - 4900 = 0. Calculate z.
-35, -2, 1
Factor -65*f**3 - 1850*f**2 - 13580*f - 5880.
-5*(f + 14)**2*(13*f + 6)
Suppose -p**5/10 + 3*p**4/2 + 37*p**3/10 - 51*p**2/10 = 0. Calculate p.
-3, 0, 1, 17
Determine t so that -t**5/3 + t**4/3 + t**3/3 - t**2/3 = 0.
-1, 0, 1
Let -s**4 - 7*s**3 + 43*s**2 - 17*s - 66 = 0. Calculate s.
-11, -1, 2, 3
Let 7*y**3/2 - 13*y**2 - 43*y/2 - 5 = 0. What is y?
-1, -2/7, 5
Suppose u**2 - 21*u + 68 = 0. What is u?
4, 17
Find p, given that -5*p**4/4 - 105*p**3/2 - 965*p**2/4 - 375*p - 185 = 0.
-37, -2, -1
Let t**3/2 + 627*t**2 + 393129*t/2 = 0. Calculate t.
-627, 0
Factor 3*g**3 + 1716*g**2 - 1719*g.
3*g*(g - 1)*(g + 573)
Suppose -j**4/3 - 13*j**3/3 - 19*j**2 - 95*j/3 - 50/3 = 0. Calculate j.
-5, -2, -1
Factor -i**3 + 25*i**2 - 66*i.
-i*(i - 22)*(i - 3)
Let -18*i**2 + 356*i + 80 = 0. What is i?
-2/9, 20
Factor h**2/2 - 41*h/2 - 43.
(h - 43)*(h + 2)/2
Factor 2*h**4/5 + 48*h**3/5 + 132*h**2/5 + 128*h/5 + 42/5.
2*(h + 1)**3*(h + 21)/5
Solve -2*i**5/9 - 232*i**4/9 - 5704*i**3/9 + 61504*i**2/9 = 0.
-62, 0, 8
What is j in 2*j**2/5 + 6*j/5 - 36/5 = 0?
-6, 3
Factor 16900*p**4 + 66040*p**3 + 61396*p**2 - 6096*p + 144.
4*(p + 2)**2*(65*p - 3)**2
Solve -2*w**3/3 + 38*w**2/3 + 80*w = 0 for w.
-5, 0, 24
Find z such that z**2/7 + 6*z/7 + 8/7 = 0.
-4, -2
Factor -3*n**4 - 105*n**3 + 9*n**2 + 309*n - 210.
-3*(n - 1)**2*(n + 2)*(n + 35)
Suppose -2*o**4/5 + 6*o**3/5 + 22*o**2/5 - 6*o/5 - 4 = 0. What is o?
-2, -1, 1, 5
Determine x so that -3*x**3/5 - 33*x**2/5 - 96*x/5 - 84/5 = 0.
-7, -2
Factor 2*s**2 + 276*s + 274.
2*(s + 1)*(s + 137)
Let -1198*v**2/15 - 402*v/5 - 8/15 = 0. What is v?
-1, -4/599
Solve -4*i**3 - 12*i**2 - 12*i - 4 = 0 for i.
-1
Suppose 4*k**5/3 + 484*k**4/9 - 1348*k**3/9 + 1196*k**2/9 - 344*k/9 = 0. Calculate k.
-43, 0, 2/3, 1
Factor -q**3/2 + 7*q**2 - 28*q + 32.
-(q - 8)*(q - 4)*(q - 2)/2
Factor 2*r**2/3 - 82*r + 468.
2*(r - 117)*(r - 6)/3
Factor 4*m**3 - 2484*m**2 + 384396*m + 386884.
4*(m - 311)**2*(m + 1)
Find a such that a**4/5 - 6*a**3 + 253*a**2/5 - 84*a + 196/5 = 0.
1, 14
Suppose 2*t**2/9 + 2648*t/9 = 0. What is t?
-1324, 0
Suppose z**4 - 67*z**3 - 281*z**2 - 213*z = 0. Calculate z.
-3, -1, 0, 71
Find a, given that -15*a**5/2 + 12*a**4 - 3*a**3/2 - 3*a**2 = 0.
-2/5, 0, 1
Determine m, given that -1682*m**4/3 + 16298*m**3/3 - 8032*m**2 + 11080*m/3 - 1600/3 = 0.
10/29, 1, 8
Factor -2*h**2 + 134*h.
-2*h*(h - 67)
Suppose 5*n**2 + 70*n + 165 = 0. Calculate n.
-11, -3
Solve -15*c**3/2 + 1443*c**2 - 69696*c + 27648 = 0.
2/5, 96
Determine j so that 5*j**2/3 - 20*j/3 - 195 = 0.
-9, 13
Factor g**4/6 + 10*g**3/3 + 26*g**2/3 - 80*g + 96.
(g - 2)**2*(g + 12)**2/6
Solve -2*b**4/21 - 12*b**3/7 + 80*b**2/21 = 0 for b.
-20, 0, 2
Solve 2*p**3/9 + 130*p**2/9 + 1024*p/9 + 896/9 = 0 for p.
-56, -8, -1
Let 2*l**2/7 - 408*l/7 + 20808/7 = 0. Calculate l.
102
Factor 2*j**3/17 - 30*j**2/17 + 126*j/17 - 98/17.
2*(j - 7)**2*(j - 1)/17
Find u such that 54*u**5 - 342*u**4 - 537*u**3/2 + 117*u**2 - 21*u/2 = 0.
-1, 0, 1/6, 7
Suppose 2*y**3 - 42*y**2 - 44*y = 0. Calculate y.
-1, 0, 22
Factor -y**3/7 - 3501*y**2/7 - 4085667*y/7 - 1589324463/7.
-(y + 1167)**3/7
Factor 4*b**3 - 32*b**2 + 64*b.
4*b*(b - 4)**2
Factor -3*i**4 - 15*i**3 + 63*i**2 + 255*i - 300.
-3*(i - 4)*(i - 1)*(i + 5)**2
Factor 2*v**2/3 + 640*v/3 + 424.
2*(v + 2)*(v + 318)/3
Factor l**2 + 122*l + 121.
(l + 1)*(l + 121)
Let -2*b**4 - 14*b**3 + 18*b**2 + 14*b - 16 = 0. What is b?
-8, -1, 1
Solve 2*h**4/7 + 24*h**3/7 + 60*h**2/7 + 8*h + 18/7 = 0 for h.
-9, -1
Suppose 5*y**4/4 + 35*y**3/4 + 65*y**2/4 - 15*y/4 - 45/2 = 0. What is y?
-3, -2, 1
Factor -2*r**4/7 + 86*r**3/7 - 12*r**2.
-2*r**2*(r - 42)*(r - 1)/7
Determine v so that -3*v**2 - 12*v + 15 = 0.
-5, 1
What is m in -2*m**3/13 - 8*m**2/13 - 8*m/13 = 0?
-2, 0
Solve a**2 - 6334*a + 10029889 = 0 for a.
3167
Let 21*i**4/2 - 15*i**3/2 - 45*i**2 + 30*i + 12 = 0. Calculate i.
-2, -2/7, 1, 2
Factor 18522*a**3 - 5292*a**2 + 504*a - 16.
2*(21*a - 2)**3
Let 2*o**4/7 + 2*o**3/7 - 10*o**2/7 + 6*o/7 = 0. What is o?
-3, 0, 1
Factor f**5/3 + 49*f**4 + 7202*f**3/3 + 117502*f**2/3 - 2401*f - 117649/3.
(f - 1)*(f + 1)*(f + 49)**3/3
Find v, given that -2*v**3 - 22*v**2 = 0.
-11, 0
Determine l, given that 4*l**3 + 1612*l**2 = 0.
-403, 0
Let -4*o**3 - 108*o**2 - 104*o = 0. What is o?
-26, -1, 0
Let 4*g**4/9 - 20*g**3 + 272*g**2/3 - 640*g/9 = 0. Calculate g.
0, 1, 4, 40
What is l in -27*l**3 - 372*l**2 - 1239*l + 294 = 0?
-7, 2/9
Factor -6*u**2/7 + 18*u.
-6*u*(u - 21)/7
Factor -2*g**2/7 - 74*g/7 - 20.
-2*(g + 2)*(g + 35)/7
Factor -5*l**3 - 60*l**2 - 145*l - 90.
-5*(l + 1)*(l + 2)*(l + 9)
Factor 2*j**4 - 3062*j**3 + 1173510*j**2 - 1170450*j.
2*j*(j - 765)**2*(j - 1)
Factor q**2 - 181*q - 366.
(q - 183)*(q + 2)
Factor -3*z**4 + 15*z**3 + 126*z**2 + 228*z + 120.
-3*(z - 10)*(z + 1)*(z + 2)**2
Factor 3*q**3/7 - 1761*q**2/7 - 5304*q/7 - 3540/7.
3*(q - 590)*(q + 1)*(q + 2)/7
Find y such that 8*y**3 + 162*y**2 + 448*y + 102 = 0.
-17, -3, -1/4
Factor -4*c**4 + 148*c**2 + 336*c.
-4*c*(c - 7)*(c + 3)*(c + 4)
Let -4*a**4 + 4*a**3 + 36*a**2 - 36*a = 0. Calculate a.
-3, 0, 1, 3
Factor 3*q**2 + 678*q - 681.
