-2
Factor z**5/7 - 5*z**4/7 - z**3 + 5*z**2/7 + 6*z/7.
z*(z - 6)*(z - 1)*(z + 1)**2/7
Factor -i**2/5 + 66*i/5 + 136/5.
-(i - 68)*(i + 2)/5
Find w such that -2*w**4/17 + 22*w**3/17 - 52*w**2/17 + 32*w/17 = 0.
0, 1, 2, 8
Suppose -c**3/4 + 63*c/4 - 81/2 = 0. What is c?
-9, 3, 6
Factor -4*m**3 + 80*m**2 + 4*m - 80.
-4*(m - 20)*(m - 1)*(m + 1)
Suppose 9*q**4/8 - 159*q**3/8 + 481*q**2/8 - 269*q/8 + 21/4 = 0. Calculate q.
1/3, 3, 14
What is w in -w**5/4 + 9*w**4/2 + 11*w**3/2 - 13*w**2 - 93*w/4 - 19/2 = 0?
-1, 2, 19
What is t in 5*t**2/4 - 75*t/4 - 270 = 0?
-9, 24
Suppose a**2 + 42*a + 432 = 0. Calculate a.
-24, -18
Determine m, given that -m**2/10 - 1501*m/5 - 2253001/10 = 0.
-1501
Solve 2*l**4 - 28*l**3 + 104*l**2 - 132*l + 54 = 0.
1, 3, 9
Factor m**4 + 24*m**3 - 26*m**2 - 24*m + 25.
(m - 1)**2*(m + 1)*(m + 25)
Determine v, given that -2*v**3/13 - 44*v**2/13 - 150*v/13 - 108/13 = 0.
-18, -3, -1
Factor -p**3/2 - 14*p**2 + 136*p - 288.
-(p - 4)**2*(p + 36)/2
Let 2*p**4/7 - 64*p**3/7 + 636*p**2/7 - 320*p + 238 = 0. What is p?
1, 7, 17
Factor -q**3 - 371*q**2 + 374*q + 744.
-(q - 2)*(q + 1)*(q + 372)
Factor 461*u**2/2 - 457*u/2 - 2.
(u - 1)*(461*u + 4)/2
Find u such that -4*u**5 + 12*u**4 + 4*u**3 - 44*u**2 + 48*u - 16 = 0.
-2, 1, 2
Let 5*y**4 + 220*y**3 + 2800*y**2 + 8000*y = 0. Calculate y.
-20, -4, 0
Factor 3*r**3/8 + 9*r**2/4 + 27*r/8 + 3/2.
3*(r + 1)**2*(r + 4)/8
Factor 3*z**5/4 + 33*z**4/4 + 63*z**3/2 + 81*z**2/2 - 81*z/4 - 243/4.
3*(z - 1)*(z + 3)**4/4
Solve 4*j**4 + 376*j**3 + 7988*j**2 - 43120*j - 115248 = 0.
-49, -2, 6
What is r in -3*r**5 + 1296*r**4/7 - 18465*r**3/7 - 47046*r**2/7 - 33408*r/7 - 6144/7 = 0?
-1, -2/7, 32
Suppose -2*g**2/9 + 532*g/9 = 0. Calculate g.
0, 266
What is j in j**4 + 45*j**3 - 243*j**2 + 347*j - 150 = 0?
-50, 1, 3
Let 2*j**3/13 - 4*j**2/13 - 8*j/13 + 16/13 = 0. Calculate j.
-2, 2
Factor -3*c**2/4 - 3*c/4 + 165/2.
-3*(c - 10)*(c + 11)/4
Let 3*l**3/7 - 48*l**2/7 - 57*l/7 + 102/7 = 0. Calculate l.
-2, 1, 17
Factor 5*s**4 + 120*s**3 + 585*s**2 + 830*s + 360.
5*(s + 1)**2*(s + 4)*(s + 18)
Solve -2*z**3 - 252*z**2 - 9408*z - 87808 = 0.
-56, -14
Suppose -t**2 + 4 = 0. Calculate t.
-2, 2
Suppose d**2/6 - 63*d + 11907/2 = 0. Calculate d.
189
Solve -5*y**3 - 6232*y**2 - 1943137*y - 776258 = 0.
-623, -2/5
Factor -4*v**2/9 - 248*v/3 - 3844.
-4*(v + 93)**2/9
Find q, given that -q**4/6 + 11*q**2/6 + 3*q + 4/3 = 0.
-2, -1, 4
Find t, given that t**5/5 + 2*t**4/5 - 2*t**3/5 - 4*t**2/5 + t/5 + 2/5 = 0.
-2, -1, 1
Suppose -2*a**2/3 - 14*a/3 - 8 = 0. Calculate a.
-4, -3
Find f such that 5*f**4 + 940*f**3 + 3705*f**2 + 4610*f + 1840 = 0.
-184, -2, -1
Factor -3*x**5 - 12*x**4 + 96*x**3 - 48*x**2 - 336*x + 384.
-3*(x - 2)**3*(x + 2)*(x + 8)
Let -5*n**2/9 - 958*n/3 + 575/9 = 0. What is n?
-575, 1/5
Factor 2*r**3 + 76*r**2 - 158*r + 80.
2*(r - 1)**2*(r + 40)
Factor 2*v**2/13 - 30*v/13 + 100/13.
2*(v - 10)*(v - 5)/13
Solve -g**4/3 + 5*g**3/3 - g**2 - 3*g = 0 for g.
-1, 0, 3
What is v in 9*v**3/8 + 21*v**2/4 - 69*v/8 + 9/4 = 0?
-6, 1/3, 1
Factor -2*y**3/9 - 2*y**2 - 16*y/3 - 32/9.
-2*(y + 1)*(y + 4)**2/9
Determine g, given that 4*g**2/3 + 116*g/3 = 0.
-29, 0
Solve -2*x**2 + 24*x + 56 = 0.
-2, 14
Determine h so that 18*h**3/5 - 3543*h**2/5 + 175812*h/5 - 28812 = 0.
5/6, 98
Suppose 2*f**5/3 - 44*f**4/9 + 58*f**3/9 + 12*f**2 - 64*f/9 - 64/9 = 0. What is f?
-1, -2/3, 1, 4
Suppose -13*t**3/8 - 53*t**2/4 - 211*t/8 - 15/4 = 0. What is t?
-5, -3, -2/13
Factor 24*m**3 + 892*m**2 - 756*m + 152.
4*(m + 38)*(2*m - 1)*(3*m - 1)
Find a such that -3*a**5/4 + 1965*a**4/4 + 1971*a**3/2 = 0.
-2, 0, 657
Suppose -2*n**2/3 + 758*n = 0. What is n?
0, 1137
Factor 3*d**2 - 1908*d + 1905.
3*(d - 635)*(d - 1)
Factor 27*l**3 + 291*l**2 + 582*l - 144.
3*(l + 3)*(l + 8)*(9*l - 2)
Factor 51*b**2 + 308*b + 12.
(b + 6)*(51*b + 2)
Determine a so that 4*a**4 - 8*a**3 - 12*a**2 = 0.
-1, 0, 3
Find x, given that -4*x**2 - 248*x - 480 = 0.
-60, -2
Suppose -4*k**2/9 + 92*k/9 + 200/9 = 0. Calculate k.
-2, 25
Solve c**4/3 + 8*c**3/3 - 43*c**2/3 + 58*c/3 - 8 = 0.
-12, 1, 2
Factor -2*y**2/7 + 584*y/7 - 1160/7.
-2*(y - 290)*(y - 2)/7
Factor 3*h**2 - 21*h - 1764.
3*(h - 28)*(h + 21)
Factor v**2 - 154*v + 5929.
(v - 77)**2
Solve -p**4 + 6*p**3 - 9*p**2 - 4*p + 12 = 0.
-1, 2, 3
Solve -h**2/3 - 5*h/3 - 4/3 = 0 for h.
-4, -1
Find i, given that 3*i**4 - 3*i**3/2 - 57*i**2/2 + 27*i/2 + 27/2 = 0.
-3, -1/2, 1, 3
Let -14*d**5 + 514*d**4 + 162*d**3 - 514*d**2 - 148*d = 0. Calculate d.
-1, -2/7, 0, 1, 37
Suppose 325*i**3/2 + 255*i**2 + 126*i + 20 = 0. What is i?
-10/13, -2/5
Factor u**3/4 + 401*u**2/4 + 40795*u/4 + 118803/4.
(u + 3)*(u + 199)**2/4
Determine c, given that -20*c**4 + 296*c**3 - 180*c**2 - 608*c - 112 = 0.
-1, -1/5, 2, 14
Solve -2*t**5/11 + 4*t**4 + 152*t**3/11 - 4*t**2 - 150*t/11 = 0.
-3, -1, 0, 1, 25
Factor -3*z**3 - 42*z**2 - 48*z + 288.
-3*(z - 2)*(z + 4)*(z + 12)
Factor -3*c**2 + 27*c - 42.
-3*(c - 7)*(c - 2)
Suppose -q**2/2 + 10*q - 19/2 = 0. Calculate q.
1, 19
Factor -16*n**3/7 - 2*n**2 + 30*n/7.
-2*n*(n - 1)*(8*n + 15)/7
Solve -a**4/3 - 16*a**3/3 - 21*a**2 = 0.
-9, -7, 0
Suppose -5*u**3 - 80*u**2 + 85*u = 0. What is u?
-17, 0, 1
Let -y**3 - 5*y**2 = 0. What is y?
-5, 0
Factor n**2 - 12*n + 20.
(n - 10)*(n - 2)
Suppose -2*f**4 - 16*f**3 + 306*f**2 + 2920*f + 2600 = 0. What is f?
-10, -1, 13
Factor -5*m**3 - 130*m**2 + 1540*m + 43560.
-5*(m - 18)*(m + 22)**2
Let a**2/4 - 41*a/4 - 84 = 0. What is a?
-7, 48
Determine k so that 4*k**4 + 44*k**3 + 20*k**2 - 188*k + 120 = 0.
-10, -3, 1
Factor 4*g**3 - 12*g - 8.
4*(g - 2)*(g + 1)**2
Determine g, given that g**4/5 + g**3 - 4*g**2/5 - 4*g = 0.
-5, -2, 0, 2
Suppose -5*x**4 + 240*x**3 - 1090*x**2 + 600*x + 1935 = 0. What is x?
-1, 3, 43
Factor -4*x**2/7 - 1048*x/7 - 68644/7.
-4*(x + 131)**2/7
What is m in -2*m**4 + 54*m**3 - 192*m**2 + 184*m = 0?
0, 2, 23
Solve 2*m**4/3 - 40*m**3/3 + 36*m**2 - 104*m/3 + 34/3 = 0 for m.
1, 17
Determine a, given that 20*a**2/7 - 908*a/7 + 360/7 = 0.
2/5, 45
Factor 2*b**3/3 + 42*b**2 - 6*b - 378.
2*(b - 3)*(b + 3)*(b + 63)/3
Factor j**5/2 - j**3 + j/2.
j*(j - 1)**2*(j + 1)**2/2
Factor 4*f**3 - 956*f**2 + 952*f.
4*f*(f - 238)*(f - 1)
Let -4*v**2 - 540*v - 536 = 0. Calculate v.
-134, -1
Factor -20*g**2 + 904*g - 180.
-4*(g - 45)*(5*g - 1)
Let -2*r**3 + 18*r**2 + 20*r = 0. What is r?
-1, 0, 10
Factor q**2/6 + 25*q/3 + 143/2.
(q + 11)*(q + 39)/6
Factor 2*m**5/7 - 8*m**4/7 + 8*m**3/7 + 4*m**2/7 - 10*m/7 + 4/7.
2*(m - 2)*(m - 1)**3*(m + 1)/7
What is f in -f**4/2 - 7*f**3/2 - 7*f**2/2 + 15*f/2 = 0?
-5, -3, 0, 1
Let -v**4 + 3034*v**3 - 3069396*v**2 + 1036430694*v - 1033364331 = 0. What is v?
1, 1011
Find w such that -3*w**2 + 27*w - 54 = 0.
3, 6
Let c**3 + 3*c**2 - 9*c - 27 = 0. What is c?
-3, 3
Determine a so that -2*a**4/3 - 28*a**3/3 + 40*a**2/3 + 52*a + 30 = 0.
-15, -1, 3
Let 2*m**3 - 28*m**2 - 70*m + 96 = 0. Calculate m.
-3, 1, 16
Factor -2*s**4 + 82*s**3 + 96*s**2 - 504*s.
-2*s*(s - 42)*(s - 2)*(s + 3)
Find w such that 2*w**3 - 616*w**2 + 47432*w = 0.
0, 154
Solve -2*t**2/19 + 24*t/19 + 26/19 = 0 for t.
-1, 13
Find n, given that -4*n**3/5 + 288*n**2/5 + 2164*n/5 + 3792/5 = 0.
-4, -3, 79
Factor -2*h**2/11 + 3452*h/11 - 1489538/11.
-2*(h - 863)**2/11
Factor c**2/8 + 15*c/4.
c*(c + 30)/8
Suppose q**4 - 20*q**3 + 114*q**2 - 108*q - 243 = 0. What is q?
-1, 3, 9
Suppose -5*v**3 + 2175*v**2 - 241875*v + 1155625 = 0. Calculate v.
5, 215
Factor -2*v**2 + 2416*v - 729632.
-2*(v - 604)**2
Factor 2*n**3/5 - 7*n**2 + 17*n/5.
n*(n - 17)*(2*n - 1)/5
Factor 3*x**5/5 + 3*x**4/5 - 3*x**3/5 - 3*x**2/5.
3*x**2*(x - 1)*(x + 1)**2/5
Let c**3/7 + 44*c**2/7 + 484*c/7 = 0. What is c?
-22, 0
Let -28*h**5 - 356*h**4 - 344*h**3 + 5504*h**2 - 1536*h = 0. Calculate h.
-8, 0, 2/7, 3
Solve a**5/2 + a**4/2 - 5*a**3/2 - 5*a**2/2 + 2*a + 2 = 0.
-2, -1, 1, 2
Factor -y**4/2 - 7*y**3/2 + 9*y**2/2 + 7*y/2 - 4.
-(y - 1)**2*(y + 1)*(y + 8)/2
Suppose 3*y**5 - 150*y**4 + 2253*y**3 - 5022*y**2 - 84564*y + 87480 = 0. Calculate y.
-5, 1, 18
Factor -2*a**3/23 - 10*a**2/23 - 12*a/23.
-2*a*(a + 2)*(a + 3)/23
Factor 4*r**3/7 - 190*r**2/7 + 2208*r/7 + 1152/7.
2*(r - 24)**2*(2*r + 1)/7
Solve -49*t**4/3 + 1673*t**3/3 - 15080*t**2/3 + 13456*t/3 = 0 for t.
0, 1, 116/7
Factor -375*j**3 - 1128*j**2 - 759*j - 6.
-3*(j + 1)*(j + 2)*(125*j + 1)
Let 2*v**4 + 30*v**3