 h?
0, 1, 14, 32
Suppose 2*o**4/13 - 16*o**3/13 - 6*o**2/13 + 44*o/13 + 32/13 = 0. Calculate o.
-1, 2, 8
Factor -4*t**4 - 31*t**3 - 52*t**2 + 15*t.
-t*(t + 3)*(t + 5)*(4*t - 1)
Factor -2*t**2/9 + 46*t/9 - 44/9.
-2*(t - 22)*(t - 1)/9
Determine v, given that v**2/8 - 39*v/8 - 41/4 = 0.
-2, 41
Factor -p**2/7 + 5*p/7 + 36/7.
-(p - 9)*(p + 4)/7
Factor 22*k**3 + 24*k**2 - 88*k - 96.
2*(k - 2)*(k + 2)*(11*k + 12)
Determine c, given that 3*c**5 - 3*c**4 - 6*c**3 + 6*c**2 + 3*c - 3 = 0.
-1, 1
Factor 3*d**2 - 102*d.
3*d*(d - 34)
Factor 3*a**3/2 + 1524*a**2 + 390126*a + 1536216.
3*(a + 4)*(a + 506)**2/2
Factor 10985*f**3 + 10140*f**2 + 3120*f + 320.
5*(13*f + 4)**3
What is v in 3*v**2/7 - 936*v/7 + 73008/7 = 0?
156
Let z**3/3 - 10*z**2 + 96*z - 896/3 = 0. Calculate z.
8, 14
Factor 4*n**2 + 28*n - 176.
4*(n - 4)*(n + 11)
Factor -o**4/9 - 4*o**3/9 + 58*o**2/9 + 124*o/9 + 7.
-(o - 7)*(o + 1)**2*(o + 9)/9
Factor -4*v**4 + 44*v**3 - 132*v**2 + 20*v + 200.
-4*(v - 5)**2*(v - 2)*(v + 1)
What is y in 2*y**3 - 1190*y**2 + 1184*y + 2376 = 0?
-1, 2, 594
Determine a, given that -a**2/5 - 307*a/5 - 306/5 = 0.
-306, -1
Find p, given that -5*p**4 - 40*p**3 - 120*p**2 - 160*p - 80 = 0.
-2
Determine j so that 288*j**5/11 - 304*j**4/11 - 30*j**3/11 + 54*j**2/11 - 8*j/11 = 0.
-4/9, 0, 1/4, 1
Determine z, given that -z**5/3 - 26*z**4 - 149*z**3/3 + 76*z**2 = 0.
-76, -3, 0, 1
Let 9*i**3 - 60*i**2 + 100*i = 0. What is i?
0, 10/3
Factor 35*t**2 + 9965*t - 2850.
5*(t + 285)*(7*t - 2)
Solve -o**3/4 - 11*o**2/4 - 9*o - 9 = 0.
-6, -3, -2
Find z, given that -2*z**4 - 2404*z**3 - 719994*z**2 + 1447208*z - 724808 = 0.
-602, 1
What is r in -r**2/5 - 3*r/5 = 0?
-3, 0
What is g in -3*g**2 - 210*g - 3483 = 0?
-43, -27
Determine p, given that -4*p**3/15 - 2*p**2/5 + 12*p/5 - 16/15 = 0.
-4, 1/2, 2
Factor 2*b**2/7 - 488*b/7 + 29768/7.
2*(b - 122)**2/7
Solve 2*g**3/5 - 48*g**2/5 - 10*g = 0.
-1, 0, 25
Solve -2*p**5/13 - 10*p**4/13 - 14*p**3/13 + 2*p**2/13 + 16*p/13 + 8/13 = 0 for p.
-2, -1, 1
Factor -h**4/8 - 4*h**3 + 17*h**2/4 + 4*h - 33/8.
-(h - 1)**2*(h + 1)*(h + 33)/8
Factor z**2/4 + 35*z/4 + 49.
(z + 7)*(z + 28)/4
Suppose -t**5/3 + 2*t**4 + 19*t**3/3 - 20*t**2/3 - 12*t + 32/3 = 0. What is t?
-2, 1, 8
Solve -4*y**4 - 8*y**3 + 172*y**2 + 512*y + 336 = 0.
-6, -2, -1, 7
Determine p, given that -p**2 - 212*p - 11236 = 0.
-106
Determine v so that 18*v**5/5 + 60*v**4 + 716*v**3/5 + 632*v**2/5 + 226*v/5 + 28/5 = 0.
-14, -1, -1/3
Factor -5*t**5 + 60*t**4 - 270*t**3 + 540*t**2 - 405*t.
-5*t*(t - 3)**4
Factor 2*p**2/3 + 1292*p + 625974.
2*(p + 969)**2/3
Factor 55*r**2 + 1470*r - 405.
5*(r + 27)*(11*r - 3)
Factor f**2 + 376*f + 35344.
(f + 188)**2
Factor -3*u**3 - 66*u**2 + 87*u + 414.
-3*(u - 3)*(u + 2)*(u + 23)
Find a such that 28*a**3 + 104*a**2 - 32*a = 0.
-4, 0, 2/7
What is j in -4*j**5/3 - 20*j**4 + 136*j**3/3 - 8*j**2/3 - 44*j + 68/3 = 0?
-17, -1, 1
Determine x, given that x**3/4 + 61*x**2/4 - 210*x + 657 = 0.
-73, 6
Determine k so that -k**4/5 - 87*k**3/5 + 4*k**2/5 + 348*k/5 = 0.
-87, -2, 0, 2
Let -4*j**2 - 172*j/5 - 96/5 = 0. What is j?
-8, -3/5
Factor 2*r**4/9 + 286*r**3/3 + 40004*r**2/3 + 5073208*r/9 - 6224272.
2*(r - 9)*(r + 146)**3/9
Determine y, given that -3*y**3/4 + 195*y**2/4 + 51*y - 99 = 0.
-2, 1, 66
Factor 5*g**5 - 25*g**4 + 15*g**3 + 25*g**2 - 20*g.
5*g*(g - 4)*(g - 1)**2*(g + 1)
Determine w, given that w**4/4 + 30*w**3 = 0.
-120, 0
Let -3*u**4 - 3*u**3 + 6*u**2 = 0. What is u?
-2, 0, 1
Solve 189*p**3/5 - 12*p**2/5 - 12*p/5 = 0.
-2/9, 0, 2/7
Suppose -2*j**3/11 + 376*j**2/11 - 4970*j/11 + 17052/11 = 0. What is j?
7, 174
Factor p**2/11 - 17*p/11 - 984/11.
(p - 41)*(p + 24)/11
Determine o so that 6*o**5/5 + o**4 - 163*o**3/5 + 189*o**2/5 + 297*o/5 - 54/5 = 0.
-6, -1, 1/6, 3
Suppose q**4 - 37*q**3/3 + 15*q**2 - 11*q/3 = 0. Calculate q.
0, 1/3, 1, 11
What is g in 2*g**4 + 1412*g**3 + 250626*g**2 + 497024*g + 247808 = 0?
-352, -1
Solve 2*g**2/11 + 202*g/11 - 412/11 = 0.
-103, 2
Factor 2*r**4/13 + 22*r**3/13 + 14*r**2/13 - 294*r/13.
2*r*(r - 3)*(r + 7)**2/13
Solve 3*m**4 - 16*m**3 - 3*m**2 + 36*m + 20 = 0 for m.
-1, -2/3, 2, 5
Factor -k**5/7 - 10*k**4/7 - 30*k**3/7 - 40*k**2/7 - 25*k/7 - 6/7.
-(k + 1)**4*(k + 6)/7
Determine c so that 2*c**2/11 - 148*c/11 + 2738/11 = 0.
37
Let -3*x**5 - 42*x**4 = 0. Calculate x.
-14, 0
Factor 2*d**4 + 8*d**3 + 6*d**2 - 8*d - 8.
2*(d - 1)*(d + 1)*(d + 2)**2
Factor 2*l**3 - 442*l**2 + 24640*l - 24200.
2*(l - 110)**2*(l - 1)
Determine x, given that 12*x**2 - 3764*x - 1256 = 0.
-1/3, 314
Factor n**3/8 - 5*n**2/8 - 11*n/4 - 2.
(n - 8)*(n + 1)*(n + 2)/8
Determine i so that 7*i**2/2 - 65*i/2 + 9 = 0.
2/7, 9
Suppose -a**3/6 - 5*a**2/6 + 4*a/3 + 8 = 0. What is a?
-4, 3
Find m such that -m**4 + 8*m**3 - 13*m**2 + 6*m = 0.
0, 1, 6
Suppose 4*j**2 + 560*j - 564 = 0. What is j?
-141, 1
Factor h**4/2 - 490*h**3 + 160392*h**2 - 17641816*h + 34645976.
(h - 326)**3*(h - 2)/2
Factor m**2/3 - 31*m/3 + 50.
(m - 25)*(m - 6)/3
Factor 343*a**4 - 49*a**3 - 210*a**2 - 76*a - 8.
(a - 1)*(7*a + 2)**3
Suppose -x**2/2 + 94*x - 2907/2 = 0. Calculate x.
17, 171
What is f in -3*f**2 + 1614*f - 1611 = 0?
1, 537
Suppose 2*v**3/7 + 748*v**2/7 + 1490*v/7 + 744/7 = 0. Calculate v.
-372, -1
Determine q so that -10*q**2 - 1795*q - 895 = 0.
-179, -1/2
Factor 4*g**4 + 1444*g**3 + 175644*g**2 + 7420364*g + 26962544.
4*(g + 4)*(g + 119)**3
Let -l**2/6 + 11*l/3 + 304/3 = 0. What is l?
-16, 38
Factor -10*f**2/7 + 48*f/7 + 10/7.
-2*(f - 5)*(5*f + 1)/7
Solve -2*o**5/11 - 28*o**4/11 - 138*o**3/11 - 288*o**2/11 - 216*o/11 = 0.
-6, -3, -2, 0
Let x**2/4 + 65*x/4 - 553/2 = 0. What is x?
-79, 14
Factor 5*a**5 + 20*a**4 - 180*a**3 - 610*a**2 - 625*a - 210.
5*(a - 6)*(a + 1)**3*(a + 7)
Find h, given that 4*h**4 - 188*h**3 - 4*h**2 + 188*h = 0.
-1, 0, 1, 47
Factor 3*n**2/2 - 75*n/2 + 126.
3*(n - 21)*(n - 4)/2
Suppose 4*i**5 - 112*i**4 - 1216*i**3 - 4136*i**2 - 5700*i - 2664 = 0. Calculate i.
-3, -2, -1, 37
Factor -t**2/2 - 419*t/2 - 209.
-(t + 1)*(t + 418)/2
Factor -5*j**2 + 25*j - 20.
-5*(j - 4)*(j - 1)
Factor 5*v**3 + 15*v**2 + 15*v + 5.
5*(v + 1)**3
Suppose 2*u**2/5 - 92*u/5 + 176/5 = 0. Calculate u.
2, 44
Let -4*g**2 + 72*g = 0. Calculate g.
0, 18
Solve z**4/4 + z**3/2 - 15*z**2/4 - 9*z = 0 for z.
-3, 0, 4
Solve -3*l**3/2 - 45*l**2/2 - 72*l - 66 = 0 for l.
-11, -2
Factor -3*u**4 + 9*u**3 - 9*u**2 + 3*u.
-3*u*(u - 1)**3
Solve d**4/8 - 33*d**3/4 + 1021*d**2/8 + 561*d/2 + 289/2 = 0.
-1, 34
Factor -5*l**4 - 60*l**3 + 515*l**2 - 450*l.
-5*l*(l - 5)*(l - 1)*(l + 18)
Solve -4*x**3/7 + 116*x**2/7 + 2080*x/7 - 62192/7 = 0.
-23, 26
Factor -12*x**4 - 75*x**3 - 162*x**2 - 132*x - 24.
-3*(x + 2)**3*(4*x + 1)
Find c such that 55*c**2/3 - 350*c/3 + 125 = 0.
15/11, 5
Determine u, given that -10*u**5 + 21*u**4 + 5*u**3 - 12*u**2 - 4*u = 0.
-1/2, -2/5, 0, 1, 2
What is t in -2*t**3/5 + 8*t**2 + 192*t/5 = 0?
-4, 0, 24
Factor 4*s**4 + 552*s**3 + 28564*s**2 + 656880*s + 5664400.
4*(s + 34)**2*(s + 35)**2
Factor -15*o**2 - 25*o + 10.
-5*(o + 2)*(3*o - 1)
Suppose -10*d**2 + 56*d - 392/5 = 0. What is d?
14/5
Factor -2*h**3 - 69*h**2/2 + 223*h/2 + 30.
-(h - 3)*(h + 20)*(4*h + 1)/2
Factor -2*r**2/5 - 234*r/5 + 236/5.
-2*(r - 1)*(r + 118)/5
Factor 6*q**3/11 - 420*q**2/11 + 402*q/11 + 828/11.
6*(q - 69)*(q - 2)*(q + 1)/11
Let -5*c**5/3 + 5*c**4/3 + 80*c**3 + 920*c**2/3 + 1360*c/3 + 240 = 0. What is c?
-2, 9
Determine r, given that -7*r**4/6 + 167*r**3/3 - 274*r**2/3 - 92*r/3 = 0.
-2/7, 0, 2, 46
Suppose -3*k**3 + 3*k**2 + 27*k - 27 = 0. What is k?
-3, 1, 3
Factor -8*s**4/5 + 44*s**3/5 - 72*s**2/5 + 16*s/5 + 32/5.
-4*(s - 2)**3*(2*s + 1)/5
Factor 5*j**4/2 - 50*j**3 + 625*j**2/2 - 625*j.
5*j*(j - 10)*(j - 5)**2/2
Suppose 2*i**4 - 14*i**2 - 12*i = 0. Calculate i.
-2, -1, 0, 3
Factor i**2/4 - 121*i/2 + 241/4.
(i - 241)*(i - 1)/4
Let -175*w**5 + 360*w**4 + 2255*w**3 + 1620*w**2 - 100*w = 0. Calculate w.
-2, -1, 0, 2/35, 5
Factor -10*u**2 - 415*u + 645.
-5*(u + 43)*(2*u - 3)
Factor i**4/3 - 4*i**3/3 - 10*i**2 + 68*i/3 - 35/3.
(i - 7)*(i - 1)**2*(i + 5)/3
Find d such that -d**3/3 + 754*d**2/3 - 142129*d/3 = 0.
0, 377
Solve g**2/5 - 1323*g/5 = 0 for g.
0, 1323
Factor 5*x**4 + 350*x**3 - 360*x**2 - 350*x + 355.
5*(x - 1)**2*(x + 1)*(x + 71)
Solve -t**5/6 + t**4 - 7*t**3/3 + 8*t**2/3 - 3*t/2 + 1/3 = 0 for t.
1, 2
Suppose -7*y**5/5 - 8*y**