0. What is d?
-20, 3
Suppose 2*a**2/7 - 6*a + 40/7 = 0. What is a?
1, 20
Let -2*y**4 + 2*y**3 + 14*y**2 - 2*y - 12 = 0. Calculate y.
-2, -1, 1, 3
Determine h, given that -5*h**4 + 150*h**3 - 1035*h**2 - 1510*h + 2400 = 0.
-2, 1, 15, 16
Factor -y**3/4 - 31*y**2/4 - 56*y + 64.
-(y - 1)*(y + 16)**2/4
Factor -4*o**2/3 - 80*o - 1200.
-4*(o + 30)**2/3
Let t**4 - 13*t**3/5 - 99*t**2/5 - 27*t/5 + 54/5 = 0. Calculate t.
-3, -1, 3/5, 6
Let -3*p**5/4 - 2*p**4 + 14*p**3 + 119*p**2/2 + 267*p/4 + 45/2 = 0. What is p?
-3, -1, -2/3, 5
Factor 2*m**3/5 + 4*m**2/5 - 22*m/5 - 24/5.
2*(m - 3)*(m + 1)*(m + 4)/5
Find v, given that v**2 + 150*v - 936 = 0.
-156, 6
Factor -p**3/6 - 7*p**2/6 - p/3 + 20/3.
-(p - 2)*(p + 4)*(p + 5)/6
Factor 27*b**4/2 - 1863*b**3/2 + 21105*b**2 - 149450*b - 171500.
(b + 1)*(3*b - 70)**3/2
Factor k**5 + 8*k**4 + 23*k**3 + 28*k**2 + 12*k.
k*(k + 1)*(k + 2)**2*(k + 3)
Find y, given that -y**5 + 125*y**4 + 510*y**3 + 770*y**2 + 515*y + 129 = 0.
-1, 129
Factor q**2/5 + q - 36/5.
(q - 4)*(q + 9)/5
Determine c, given that c**4/4 - 27*c**3/4 + 75*c**2/4 - 73*c/4 + 6 = 0.
1, 24
Factor 6*r**3/7 + 42012*r**2/7 + 98056008*r/7 + 76287574224/7.
6*(r + 2334)**3/7
Suppose 2*c**3 + 148*c**2 - 302*c + 152 = 0. Calculate c.
-76, 1
What is v in 4*v**3 + 2724*v**2 + 618348*v + 46788332 = 0?
-227
Factor 2*l**2 - 76*l + 714.
2*(l - 21)*(l - 17)
Factor 3*r**4 - 108*r**3 + 627*r**2 - 522*r.
3*r*(r - 29)*(r - 6)*(r - 1)
What is d in -3*d**4/2 - 6*d**3 + 66*d**2 + 144*d - 864 = 0?
-6, 4
Factor 3*l**4/4 - 21*l**3/2 + 51*l**2 - 195*l/2 + 225/4.
3*(l - 5)**2*(l - 3)*(l - 1)/4
Let 2*m**5 - 132*m**4 + 376*m**3 + 132*m**2 - 378*m = 0. Calculate m.
-1, 0, 1, 3, 63
Factor -o**2/2 + o/2 + 3.
-(o - 3)*(o + 2)/2
Factor 3*d**2 - 93*d - 96.
3*(d - 32)*(d + 1)
Solve 5*m**4 + 110*m**3 + 700*m**2 + 1000*m = 0.
-10, -2, 0
Factor -8*p**3 + 25*p**2 + 29*p - 4.
-(p - 4)*(p + 1)*(8*p - 1)
Factor -3*p**2 + 561*p.
-3*p*(p - 187)
Solve 20*v**4/3 + 41*v**3 + 16*v**2/3 - 4*v = 0.
-6, -2/5, 0, 1/4
Suppose -4*n**4 + 24*n**3 + 28*n**2 = 0. Calculate n.
-1, 0, 7
Factor -2*o**2/11 + 8*o/11 + 42/11.
-2*(o - 7)*(o + 3)/11
Solve 2*c**5 - 14*c**4 + 30*c**3 - 26*c**2 + 8*c = 0 for c.
0, 1, 4
What is n in 4*n**3 + 48*n**2 + 36*n - 88 = 0?
-11, -2, 1
What is b in -18*b**3 + 849*b**2 - 1776*b + 945 = 0?
1, 7/6, 45
Factor 9*f**2 - 24*f + 12.
3*(f - 2)*(3*f - 2)
Determine g so that -12*g**5/7 - 29024*g**4/7 - 17530476*g**3/7 + 3347896*g**2 + 5837040*g/7 - 11712800/7 = 0.
-1210, -2/3, 1
Factor 11250*s**3/17 - 46200*s**2/17 + 4832*s/17 - 128/17.
2*(s - 4)*(75*s - 4)**2/17
Factor 4*c**2 - 2020*c.
4*c*(c - 505)
Determine d so that -5*d**5 + 315*d**4 + 10*d**3 - 630*d**2 - 5*d + 315 = 0.
-1, 1, 63
Factor t**3/8 - 25*t**2/4 - 27*t.
t*(t - 54)*(t + 4)/8
Factor 2*q**4/9 - 40*q**3/9 + 34*q**2/9 + 76*q/9.
2*q*(q - 19)*(q - 2)*(q + 1)/9
Suppose f**3/3 - 2*f**2 + f + 10/3 = 0. Calculate f.
-1, 2, 5
Factor -b**3/3 - 3764*b**2/3 - 3541924*b/3.
-b*(b + 1882)**2/3
Solve 3*y**3/4 + 63*y**2/4 + 441*y/4 + 1029/4 = 0 for y.
-7
Let -48*g**5 + 340*g**4 - 24*g**3 - 28*g**2 = 0. Calculate g.
-1/4, 0, 1/3, 7
Determine d, given that -2*d**2/9 - 190*d/9 + 388/9 = 0.
-97, 2
Find j such that j**5 - 55*j**4/3 + 38*j**3 - 32*j**2/3 = 0.
0, 1/3, 2, 16
Solve 3*v**5 - 5559*v**4 + 2566857*v**3 + 7733955*v**2 + 7745088*v + 2583552 = 0.
-1, 928
Solve -5*r**5 - 15*r**4 + 20*r**3 = 0 for r.
-4, 0, 1
Suppose -w**5/2 + w**4 + 9*w**3/2 - 7*w**2 - 10*w + 12 = 0. Calculate w.
-2, 1, 2, 3
Let 35*k**5 + 2070*k**4 + 260*k**3 - 2070*k**2 - 295*k = 0. What is k?
-59, -1, -1/7, 0, 1
What is i in 2*i**2/3 + 6*i + 16/3 = 0?
-8, -1
Solve -3*s**3 - 72*s**2 + 3*s + 72 = 0.
-24, -1, 1
Factor -l**4 + 15*l**3 - 6*l**2 - 236*l - 312.
-(l - 13)*(l - 6)*(l + 2)**2
Let -3*z**3 + 390*z**2 - 12675*z = 0. What is z?
0, 65
Find z, given that -60*z**5 - 51*z**4 + 60*z**3 + 33*z**2 - 18*z = 0.
-1, 0, 2/5, 3/4
Factor b**2 - 1248*b + 389376.
(b - 624)**2
Suppose 3*t**5 - 42*t**4 - 198*t**3 + 816*t**2 - 885*t + 306 = 0. What is t?
-6, 1, 17
Factor -f**5/4 + f**4/2 + f**3 - 2*f**2.
-f**2*(f - 2)**2*(f + 2)/4
Determine a, given that 21*a**5 + 36*a**4 - 75*a**3 - 150*a**2 - 36*a + 24 = 0.
-2, -1, 2/7, 2
Find p such that -4*p**4/3 - 280*p**3/3 - 524*p**2 - 2320*p/3 - 1024/3 = 0.
-64, -4, -1
Suppose -z**2/2 - 63*z/2 = 0. What is z?
-63, 0
Determine v so that v**4/2 - 59*v**3/2 - 124*v**2 - 126*v = 0.
-2, 0, 63
Factor -l**4/4 - 4*l**3 - 55*l**2/4.
-l**2*(l + 5)*(l + 11)/4
Factor 3*u**2/2 + 477*u + 75843/2.
3*(u + 159)**2/2
Factor -2*p**2/5 + 3392*p/5 - 1438208/5.
-2*(p - 848)**2/5
Suppose -n**3/5 - 722*n**2 - 651605*n = 0. Calculate n.
-1805, 0
What is i in i**4 + 25*i**3 + 69*i**2 + 67*i + 22 = 0?
-22, -1
Solve 3*l**3 + 3*l**2 = 0 for l.
-1, 0
Find j such that -2*j**5/5 - 32*j**4/5 + 14*j**3 - 36*j**2/5 = 0.
-18, 0, 1
Factor -10*d**3 + 658*d**2/3 + 452*d/3.
-2*d*(3*d + 2)*(5*d - 113)/3
Find a such that -5*a**3 - 175*a**2 + 1185*a - 1845 = 0.
-41, 3
Solve 4*y**3/5 + 108*y**2 + 17952*y/5 - 18496/5 = 0 for y.
-68, 1
Factor -3*i**2/8 - 105*i/4 - 51.
-3*(i + 2)*(i + 68)/8
Suppose -2*p**4 + 6*p**3 - 2*p**2 - 6*p + 4 = 0. Calculate p.
-1, 1, 2
What is f in 9*f**5/5 + 627*f**4/5 - 187*f**3 - 5943*f**2/5 - 3558*f/5 - 568/5 = 0?
-71, -2, -1/3, 4
Find y, given that -12*y**5/5 + 543*y**4/5 - 1167*y**3/5 + 258*y**2/5 = 0.
0, 1/4, 2, 43
Determine b, given that -2*b**2/7 - 1432*b/7 = 0.
-716, 0
Factor q**4 - 268*q**3 + 18484*q**2 - 70752*q + 69696.
(q - 132)**2*(q - 2)**2
Factor 2*y**4 + 54*y**3 + 52*y**2.
2*y**2*(y + 1)*(y + 26)
Find b, given that 3*b**3/2 - 129*b**2 + 2898*b - 5292 = 0.
2, 42
Factor 2*b**4 + 1536*b**3 + 442368*b**2 + 56623104*b + 2717908992.
2*(b + 192)**4
Find a, given that -3*a**4 - 1485*a**3 - 183024*a**2 + 184512*a = 0.
-248, 0, 1
Suppose -4*m**2 + 88*m = 0. What is m?
0, 22
Factor -3*u**3 + 96*u**2 - 543*u + 450.
-3*(u - 25)*(u - 6)*(u - 1)
Determine d so that 5*d**3/3 + 1490*d**2 + 337440*d + 1971360 = 0.
-444, -6
Factor 8*d**3/3 + 362*d**2 - 272*d/3.
2*d*(d + 136)*(4*d - 1)/3
Suppose -2*a**3/11 - 208*a**2/11 - 4968*a/11 + 23328/11 = 0. Calculate a.
-54, 4
Let -2*i**3/17 + 704*i**2/17 - 61952*i/17 = 0. What is i?
0, 176
Find r such that 4*r**4 + r**3 - 16*r**2 - 4*r = 0.
-2, -1/4, 0, 2
Solve 3*s**5 + 21*s**4/5 - 234*s**3/5 + 204*s**2/5 + 24*s = 0 for s.
-5, -2/5, 0, 2
Solve 2*n**2/17 - 546*n/17 - 1100/17 = 0 for n.
-2, 275
Factor -k**2/3 - 1138*k/3 - 1512.
-(k + 4)*(k + 1134)/3
Factor -k**4/11 + 21*k**3/11 + 2*k**2.
-k**2*(k - 22)*(k + 1)/11
Factor -3*w**2 - 153*w + 156.
-3*(w - 1)*(w + 52)
Find b, given that -2*b**3/9 + 32*b**2/3 - 398*b/3 + 1100/9 = 0.
1, 22, 25
Find h, given that 18*h**4/7 - 102*h**3 + 4604*h**2/7 + 1016*h + 2480/7 = 0.
-2/3, 10, 31
Factor w**2/10 - 2*w + 10.
(w - 10)**2/10
Find q, given that 507*q**5/2 - 624*q**4 + 501*q**3 - 144*q**2 + 27*q/2 = 0.
0, 3/13, 1
Find d, given that -d**2/7 - 5728*d/7 - 8202496/7 = 0.
-2864
Factor 6*v**4 - 7959*v**3 - 23895*v**2/2 - 23901*v/4 - 996.
3*(v - 1328)*(2*v + 1)**3/4
Solve 4*p**3 - 108*p**2 + 924*p - 2420 = 0 for p.
5, 11
Factor -2*z**4 + 14*z**3 - 20*z**2.
-2*z**2*(z - 5)*(z - 2)
Find k, given that -5*k**2 - 1245*k + 2510 = 0.
-251, 2
Let -3*c**2/5 - 906*c/5 = 0. What is c?
-302, 0
Find r, given that 2*r**3/9 - 16*r**2/9 + 2*r + 4 = 0.
-1, 3, 6
Find h, given that -18*h**5/7 + 2*h**4 + 418*h**3/7 + 146*h**2/7 - 1608*h/7 - 360/7 = 0.
-3, -2/9, 2, 5
Let -5*n**5 - 95*n**4 - 360*n**3 + 2240*n**2 + 12800*n = 0. What is n?
-8, 0, 5
Suppose 2*d**4/13 + 50*d**3/13 + 238*d**2/13 + 166*d/13 - 456/13 = 0. What is d?
-19, -4, -3, 1
Suppose -j**4/7 + 9*j**3/7 + 4*j**2/7 - 36*j/7 = 0. Calculate j.
-2, 0, 2, 9
Solve r**2/4 + 29*r/4 - 15/2 = 0.
-30, 1
Factor -5*g**2 + 30*g - 25.
-5*(g - 5)*(g - 1)
Factor b**2/2 + 1316*b + 865928.
(b + 1316)**2/2
Solve 2*h**4/21 + 2*h**3/21 - 2*h**2/3 - 26*h/21 - 4/7 = 0.
-2, -1, 3
Factor -k**3/3 - 7*k**2/3 + 5*k/3 + 25.
-(k - 3)*(k + 5)**2/3
Suppose 2*b**3/5 + 154*b**2/5 + 430*b - 33282/5 = 0. What is b?
-43, 9
What is w in -w**3/10 + 2*w**2/5 - 3*w/10 = 0?
0, 1, 3
Factor 343*b**4/8 + 5635*b**3/4 + 2373*b**2/2 + 337*b + 32.
(b + 32)*(7*b + 2)**3/8
Factor 3*i**2 + 66*i + 63.
3*(i + 1)*(i + 21)
Find l, given that -3*l**5/4 + 467*l**4/2 + 6343*l**3/4 + 2731*l**2/2 - 4456*l + 1272 = 0.
-4, 1/3