/5, 5
Factor -4*f**2/7 - 3428*f/7 - 3424/7.
-4*(f + 1)*(f + 856)/7
Determine a, given that 2*a**3/15 + 10*a**2 - 52*a/5 - 304/15 = 0.
-76, -1, 2
Factor 8*q**3 + 98*q**2 + 112*q + 22.
2*(q + 1)*(q + 11)*(4*q + 1)
Determine v so that -12*v**5 + 136*v**4 - 456*v**3 + 352*v**2 + 180*v - 200 = 0.
-2/3, 1, 5
Determine y, given that -y**2 - 53*y = 0.
-53, 0
Let 3*h**4 + 48*h**3 + 153*h**2 - 192*h - 660 = 0. What is h?
-11, -5, -2, 2
Factor 5*p**2/3 - 275*p/3 + 530/3.
5*(p - 53)*(p - 2)/3
Factor 3*q**3/8 - 9*q**2/4 - 27*q/8 + 21/4.
3*(q - 7)*(q - 1)*(q + 2)/8
Factor 3*i**3/8 - 63*i**2/4 + 405*i/2 - 729.
3*(i - 18)**2*(i - 6)/8
Determine r so that -r**5/7 - 3*r**4/7 - 2*r**3/7 + 2*r**2/7 + 3*r/7 + 1/7 = 0.
-1, 1
Let -3*q**3/8 + 27*q**2 - 4095*q/8 + 3675/4 = 0. What is q?
2, 35
Let z**2 + z = 0. Calculate z.
-1, 0
Solve -s**4/5 + 5*s**3 - 47*s**2/5 + 23*s/5 = 0 for s.
0, 1, 23
Find z such that -5*z**4 + 1035*z**3 - 53040*z**2 - 54080*z = 0.
-1, 0, 104
Find v, given that 2*v**5/5 - 8*v**4/5 - 2*v**3/5 + 32*v**2/5 - 24*v/5 = 0.
-2, 0, 1, 2, 3
Factor 4*r**3/7 - 488*r**2/7 + 1360*r + 50400.
4*(r - 70)**2*(r + 18)/7
Solve -14*g**5 - 60*g**4 - 72*g**3 - 16*g**2 = 0.
-2, -2/7, 0
Determine l, given that -2*l**5/15 - 8*l**4/5 - 20*l**3/3 - 176*l**2/15 - 46*l/5 - 8/3 = 0.
-5, -4, -1
Factor 13*g**4 - 21*g**3/2 - 5*g**2/2.
g**2*(g - 1)*(26*g + 5)/2
Factor 2*l**3/13 + 228*l**2/13 - 2*l/13 - 228/13.
2*(l - 1)*(l + 1)*(l + 114)/13
Let -u**2/7 + 4*u + 29/7 = 0. What is u?
-1, 29
Find r such that 4*r**2/3 - 2*r/3 - 2/3 = 0.
-1/2, 1
Determine k so that 50*k**3/13 + 30*k**2/13 - 18*k/13 + 2/13 = 0.
-1, 1/5
Factor -5*j**4 + 25*j**3 + 105*j**2 - 265*j + 140.
-5*(j - 7)*(j - 1)**2*(j + 4)
Factor -108*a**2 - 21*a + 12.
-3*(4*a - 1)*(9*a + 4)
What is z in -4*z**5/3 - 16*z**4/3 - 16*z**3/3 + 8*z**2/3 + 20*z/3 + 8/3 = 0?
-2, -1, 1
Find l such that 2*l**5 + 154*l**4 + 3584*l**3 + 24104*l**2 + 57664*l + 36992 = 0.
-34, -4, -1
Let 6*s**3 + 75*s**2 - 42*s - 39 = 0. Calculate s.
-13, -1/2, 1
Find y, given that -6*y**5/5 + 272*y**4/5 - 3254*y**3/5 + 756*y**2 + 1144*y/5 - 1936/5 = 0.
-2/3, 1, 22
Factor -y**2/5 + 41*y - 1194/5.
-(y - 199)*(y - 6)/5
Factor 3*c**2 + 69*c - 150.
3*(c - 2)*(c + 25)
Solve -x**5/3 + 34*x**4/3 - 350*x**3/3 + 1052*x**2/3 - 395*x + 150 = 0 for x.
1, 2, 15
Suppose 2*c**5 - 8*c**4 = 0. What is c?
0, 4
Determine g so that g**3 + 17*g**2/4 + 4*g + 3/4 = 0.
-3, -1, -1/4
Factor -y**2/5 + y/5.
-y*(y - 1)/5
Let 2*o**2 + 86*o/7 + 12/7 = 0. What is o?
-6, -1/7
Factor 5*c**5 - 40*c**4 + 40*c**3 + 160*c**2 - 240*c.
5*c*(c - 6)*(c - 2)**2*(c + 2)
Factor -q**3 - 429*q**2 - 46647*q - 136107.
-(q + 3)*(q + 213)**2
Factor -2*g**2/9 + 952*g/9.
-2*g*(g - 476)/9
Factor 15*j**3 + 65*j**2 + 80*j + 20.
5*(j + 2)**2*(3*j + 1)
Solve -8649*j**4 + 24087*j**3 + 40076*j**2 + 7740*j + 400 = 0.
-1, -10/93, 4
Find f such that f**4 + 56*f**3 + 726*f**2 - 1624*f + 841 = 0.
-29, 1
Let 21*p**5 + 90*p**4 - 39*p**3 - 228*p**2 + 108*p + 48 = 0. Calculate p.
-4, -2, -2/7, 1
What is s in 2*s**2/9 + 52*s/9 - 814/9 = 0?
-37, 11
Let t**4 - 9*t**3 + 23*t**2 - 15*t = 0. Calculate t.
0, 1, 3, 5
Determine g so that 22*g**5/9 - 460*g**4 - 11854*g**3/9 + 2204*g**2/9 + 5608*g/3 - 3056/9 = 0.
-2, 2/11, 1, 191
Factor 4*a**4/5 - 32*a**3 - 332*a**2/5 - 168*a/5.
4*a*(a - 42)*(a + 1)**2/5
Factor l**2/4 + 7*l/4 + 3/2.
(l + 1)*(l + 6)/4
Factor 2*q**2/7 - 174*q/7 + 664/7.
2*(q - 83)*(q - 4)/7
Let 8*a**4/5 + 778*a**3/5 + 338*a**2 - 1906*a/5 - 114 = 0. What is a?
-95, -3, -1/4, 1
Solve -4*g**4 + 80*g**3 - 204*g**2 - 2016*g - 1728 = 0.
-3, -1, 12
Factor -5*q**5 + 15*q**3 - 10*q**2.
-5*q**2*(q - 1)**2*(q + 2)
What is v in v**2 + 1647*v + 1646 = 0?
-1646, -1
Factor 60492*p**2 + 2556*p + 27.
3*(142*p + 3)**2
Find c such that -5*c**3 + 25*c**2 - 35*c + 15 = 0.
1, 3
Factor -3*q**3 + 81*q**2/5 - 24*q + 36/5.
-3*(q - 3)*(q - 2)*(5*q - 2)/5
Factor -3*g**2 + 1905*g/7 + 78.
-3*(g - 91)*(7*g + 2)/7
Suppose 5*o**5 + 325*o**4 + 945*o**3 + 935*o**2 + 310*o = 0. What is o?
-62, -1, 0
Let -2*f**2/11 + 102*f/11 - 116 = 0. What is f?
22, 29
Suppose 2*f**3/5 + 82*f**2/5 + 16*f = 0. Calculate f.
-40, -1, 0
Determine f so that 2*f**4/9 + 26*f**3/3 + 74*f**2/9 - 26*f/3 - 76/9 = 0.
-38, -1, 1
Factor -2*o**2 - 254*o - 984.
-2*(o + 4)*(o + 123)
Solve 2*o**3/11 - 26*o**2/11 + 80*o/11 = 0.
0, 5, 8
Determine c so that -3*c**4 + 62*c**3 - 40*c**2 = 0.
0, 2/3, 20
Factor -g**4 + 4*g**3 + 2*g**2 - 12*g - 9.
-(g - 3)**2*(g + 1)**2
Find h such that 14*h**4 + 73*h**3 - 204*h**2 - 193*h + 70 = 0.
-7, -1, 2/7, 5/2
Factor -4*r**3/5 - 404*r**2/5 - 796*r/5 - 396/5.
-4*(r + 1)**2*(r + 99)/5
Factor 2*q**4/3 + 1568*q**3 + 2770652*q**2/3 + 1842400*q + 2761250/3.
2*(q + 1)**2*(q + 1175)**2/3
Find u such that -3*u**5 + 6*u**4 + 6*u**3 - 12*u**2 - 3*u + 6 = 0.
-1, 1, 2
Suppose c**4 + 7*c**3 + 11*c**2 + 5*c = 0. Calculate c.
-5, -1, 0
Find u such that 10*u**3/3 - 246*u**2 + 4514*u + 2738/3 = 0.
-1/5, 37
Factor -2*n**2/9 - 148*n/9 - 146/9.
-2*(n + 1)*(n + 73)/9
Let 7*j**5 - 25*j**4 - 51*j**3 + 225*j**2 - 108*j = 0. Calculate j.
-3, 0, 4/7, 3
Suppose z**2/3 + 60*z + 2700 = 0. What is z?
-90
Factor -k**3/4 + 199*k**2/4 - 9595*k/4 - 30603/4.
-(k - 101)**2*(k + 3)/4
Suppose 2*h**4/3 - 112*h**3/3 - 2*h**2/3 + 112*h/3 = 0. Calculate h.
-1, 0, 1, 56
Factor -i**4/6 + 19*i**3/6 - 35*i**2/6 + 17*i/6.
-i*(i - 17)*(i - 1)**2/6
What is v in -3*v**4 - 351*v**3 - 2295*v**2 + 1875*v + 24750 = 0?
-110, -5, 3
Suppose -t**2/2 + 867*t - 1733/2 = 0. What is t?
1, 1733
Suppose 2*k**5/5 - 16*k**4/5 + 38*k**3/5 - 16*k**2/5 - 8*k + 32/5 = 0. Calculate k.
-1, 1, 2, 4
Solve -5*u**2 + 60*u - 160 = 0 for u.
4, 8
Find y such that -4*y**5 - 16*y**4 + 24*y**3 + 16*y**2 - 20*y = 0.
-5, -1, 0, 1
Factor -2*x**3/13 - 42*x**2/13 - 132*x/13 + 448/13.
-2*(x - 2)*(x + 7)*(x + 16)/13
Factor -4*w**2/9 - 14*w/9.
-2*w*(2*w + 7)/9
Factor 2*a**3 + 80*a**2 - 442*a + 360.
2*(a - 4)*(a - 1)*(a + 45)
Factor 19600*q**4 - 38640*q**3 - 1116*q**2 - 8*q.
4*q*(q - 2)*(70*q + 1)**2
Factor -2*f**2/15 - 32*f/5.
-2*f*(f + 48)/15
Determine p, given that 2*p**4/11 + 52*p**3/11 + 458*p**2/11 + 1560*p/11 + 1800/11 = 0.
-10, -3
Suppose -c**4/5 - 4*c**3/5 + 7*c**2/5 + 22*c/5 - 24/5 = 0. Calculate c.
-4, -3, 1, 2
Let -18*w**3/7 + 48*w**2/7 - 18*w/7 - 12/7 = 0. What is w?
-1/3, 1, 2
Factor d**5 + 76*d**4 + 1948*d**3 + 17350*d**2 + 11875*d - 31250.
(d - 1)*(d + 2)*(d + 25)**3
Factor 4*i**2/9 - 22*i/3 - 988/9.
2*(i - 26)*(2*i + 19)/9
Let -2*t**5/3 + 8*t**4/3 - 4*t**3/3 - 8*t**2/3 + 2*t = 0. Calculate t.
-1, 0, 1, 3
Suppose -2*x**4/13 + 20*x**3 - 9408*x**2/13 + 134144*x/13 - 671744/13 = 0. Calculate x.
16, 82
Solve -2*y**4/5 + 38*y**3/5 + 86*y**2/5 - 38*y/5 - 84/5 = 0.
-2, -1, 1, 21
Find k such that 42*k**3 + 86*k**2 - 112*k + 24 = 0.
-3, 2/7, 2/3
Determine u so that -9*u**5 - 42*u**4 - 69*u**3 - 48*u**2 - 12*u = 0.
-2, -1, -2/3, 0
Factor -5*c**4 + 5*c**3 + 20*c**2 - 20*c.
-5*c*(c - 2)*(c - 1)*(c + 2)
Suppose -13*h**4/2 + 37*h**3/2 + 42*h**2 - 46*h - 8 = 0. Calculate h.
-2, -2/13, 1, 4
Determine m so that 9*m**5 + 96*m**4 + 261*m**3 - 54*m**2 - 648*m = 0.
-6, -3, 0, 4/3
Suppose -4*m**4 - 24*m**3 - 28*m**2 + 24*m + 32 = 0. Calculate m.
-4, -2, -1, 1
Factor 2*f**5 + 24*f**4 + 112*f**3 + 252*f**2 + 270*f + 108.
2*(f + 1)*(f + 2)*(f + 3)**3
Let -10*j**3/3 - 152*j**2/3 - 410*j/3 + 572/3 = 0. What is j?
-11, -26/5, 1
Let -3*p**2/2 - 9*p/2 + 270 = 0. Calculate p.
-15, 12
Factor -24*c**3 + 292*c**2 + 1044*c + 728.
-4*(c + 1)*(c + 2)*(6*c - 91)
Factor -2*c**3 - 3582*c**2 - 1598454*c + 4827654.
-2*(c - 3)*(c + 897)**2
Factor -2*f**2/5 + 6796*f/5 - 5773202/5.
-2*(f - 1699)**2/5
Determine q, given that -2*q**3 + 1007*q**2/2 - 31626*q - 7938 = 0.
-1/4, 126
Factor 4*v**4 - 12*v**3 - 12*v**2 + 28*v + 24.
4*(v - 3)*(v - 2)*(v + 1)**2
Determine d, given that 2*d**3/7 - 10*d**2 - 146*d/7 - 74/7 = 0.
-1, 37
Suppose -2*c**4 - 2*c**3 = 0. What is c?
-1, 0
Suppose -6*l**4 - 4*l**3 + 286*l**2/3 + 32*l - 384 = 0. What is l?
-3, 8/3
Factor -4*s**2/5 - 1308*s/5 - 1304/5.
-4*(s + 1)*(s + 326)/5
Factor -2*a**3 - 984*a**2.
-2*a**2*(a + 492)
Factor 3*r**2 + 4059*r - 4062.
3*(r - 1)*(r + 1354)
Suppose -5*u**3 - 125*u**2 + 1285*u - 1155 = 0. Calculate u.
-33, 1, 7
Factor 2*o**2/17 - 276*o/17 + 3250/17.
2*(o - 125)*(o - 13)/17
Factor -17*t**4 - 2*t**3.
-t**3*(17*t + 2)