/5 - 54*f/5 - 28/5 = 0. What is f?
-1, 14
Determine r so that -4*r**4 - 12*r**3 - 8*r**2 = 0.
-2, -1, 0
Determine p, given that p**4 + 5*p**3/4 - 3*p**2/4 - 5*p/4 - 1/4 = 0.
-1, -1/4, 1
Factor -9*j**2 - 264*j - 87.
-3*(j + 29)*(3*j + 1)
Factor -3*c**3 - 66*c**2 - 420*c - 600.
-3*(c + 2)*(c + 10)**2
Solve 2*m**3 - 58*m**2 - 328*m - 408 = 0 for m.
-3, -2, 34
Factor 5*i**4 - 673*i**3 + 400*i**2 + 268*i.
i*(i - 134)*(i - 1)*(5*i + 2)
Factor -a**3/6 - 62*a**2/3 + 379*a/6 - 127/3.
-(a - 2)*(a - 1)*(a + 127)/6
Suppose 4*s**4 + 11024*s**3 + 11393304*s**2 + 5233324304*s + 901440111364 = 0. What is s?
-689
Determine u, given that -5*u**2 - 145*u + 310 = 0.
-31, 2
Determine r, given that -3*r**5 - 9*r**4 + 3*r**3 + 21*r**2 - 12 = 0.
-2, -1, 1
Factor 4*o**5 + 12*o**4 - 4*o**3 - 12*o**2.
4*o**2*(o - 1)*(o + 1)*(o + 3)
Factor n**4/9 + 10*n**3/3 - 277*n**2/3 + 1568*n/9 - 256/3.
(n - 16)*(n - 1)**2*(n + 48)/9
Solve -t**5/3 + 8*t**4/3 - 6*t**3 + 16*t**2/3 - 5*t/3 = 0 for t.
0, 1, 5
Determine j, given that -2*j**2/3 - 10*j/3 + 352/3 = 0.
-16, 11
Determine h so that -7*h**3/5 + 166*h**2/5 - 617*h/5 - 38 = 0.
-2/7, 5, 19
Solve 2*t**3/11 - 3282*t**2/11 + 1795254*t/11 - 327334646/11 = 0 for t.
547
Find b such that 2*b**5/11 - 16*b**3/11 - 12*b**2/11 + 14*b/11 + 12/11 = 0.
-2, -1, 1, 3
Factor -i**5 - 43*i**4 - 123*i**3 - 121*i**2 - 40*i.
-i*(i + 1)**3*(i + 40)
Factor 45*u**2/8 - 183*u/4 + 6.
3*(u - 8)*(15*u - 2)/8
Factor 5*z**2 + 2670*z.
5*z*(z + 534)
Suppose 2*p**5/11 + 46*p**4/11 = 0. Calculate p.
-23, 0
Factor -r**5 + 6*r**4 - r**3 - 24*r**2 - 16*r.
-r*(r - 4)**2*(r + 1)**2
Suppose 2*s**5/15 - 4*s**4/15 - 14*s**3/5 + 44*s**2/15 + 16*s/3 = 0. What is s?
-4, -1, 0, 2, 5
Find o, given that -o**4 + 6*o**3 - 11*o**2 + 6*o = 0.
0, 1, 2, 3
Let b**3 - 9*b**2 - 21*b - 11 = 0. What is b?
-1, 11
Let -3*i**2/8 - 3*i/8 = 0. What is i?
-1, 0
What is t in -t**5 - 138*t**4 + 562*t**3 - 848*t**2 + 567*t - 142 = 0?
-142, 1
Suppose 22*v**3/3 + 42*v**2 - 190*v/3 + 14 = 0. What is v?
-7, 3/11, 1
Suppose -1820*d**5/3 + 2588*d**4/3 + 1036*d**3/3 - 2572*d**2/3 + 784*d/3 - 16/3 = 0. Calculate d.
-1, 2/91, 2/5, 1
Factor 4*w**2 - 48*w - 52.
4*(w - 13)*(w + 1)
Solve -d**5 + 29*d**3 + 48*d**2 - 28*d - 48 = 0.
-4, -2, -1, 1, 6
Determine s so that -4*s**3 - 10392*s**2 - 6739200*s + 13520000 = 0.
-1300, 2
Let -2*b**4/9 - 2*b**3/3 + 2*b**2 - 10*b/9 = 0. What is b?
-5, 0, 1
Factor x**3/5 - 412*x**2/5 + 8569*x - 16810.
(x - 205)**2*(x - 2)/5
Factor -t**4/4 + 13*t**3/4 - 33*t**2/4 + 31*t/4 - 5/2.
-(t - 10)*(t - 1)**3/4
Determine q so that 95*q**3/6 + 65*q**2/6 - 5*q = 0.
-1, 0, 6/19
Factor -15*m**3 + 51*m**2 - 48*m + 12.
-3*(m - 2)*(m - 1)*(5*m - 2)
Suppose 5*y**4 + 75*y**3 - 750*y**2 + 500*y + 1320 = 0. What is y?
-22, -1, 2, 6
Solve -3*q**2 - 129*q - 360 = 0 for q.
-40, -3
Suppose 3*v**5 - 51*v**4 + 138*v**3 + 246*v**2 - 141*v - 195 = 0. What is v?
-1, 1, 5, 13
Find r such that 45*r**4 - 2127*r**3 + 537*r**2 + 1263*r + 282 = 0.
-2/5, -1/3, 1, 47
Factor -3*i**4 - 45*i**3 - 81*i**2 - 39*i.
-3*i*(i + 1)**2*(i + 13)
Find q, given that -252*q**4 - 1710*q**3 + 2416*q**2 - 296*q - 320 = 0.
-8, -2/7, 2/3, 5/6
What is q in 4*q**5/9 - 6*q**4 + 86*q**3/9 + 262*q**2/9 + 10*q/3 - 88/9 = 0?
-1, 1/2, 4, 11
Suppose 5*u**3/2 - 1250*u**2 + 7465*u/2 - 2485 = 0. Calculate u.
1, 2, 497
Solve 6*f**4 + 86*f**3 - 264*f**2 + 136*f = 0.
-17, 0, 2/3, 2
Find z, given that -2*z**4/3 + 2*z**2/3 = 0.
-1, 0, 1
Find o, given that -405*o**3 + 12240*o**2 - 2705*o + 150 = 0.
1/9, 30
Find r, given that 4*r**3/7 + 120*r**2/7 - 36*r + 128/7 = 0.
-32, 1
Suppose 5*i**5 + 75*i**4 + 335*i**3 + 465*i**2 + 200*i = 0. Calculate i.
-8, -5, -1, 0
Suppose 3*c**5 + 9*c**4 + 39*c**3/4 + 9*c**2/2 + 3*c/4 = 0. Calculate c.
-1, -1/2, 0
Solve -3*c**4/4 + 45*c**3 - 2313*c**2/4 - 2928*c - 2304 = 0.
-3, -1, 32
Determine x, given that 2*x**3/9 - 10*x**2/3 - 104*x/9 - 8 = 0.
-2, -1, 18
Factor -2*p**4 + 116*p**3.
-2*p**3*(p - 58)
Factor -2*g**5/3 - 2*g**4/3 + 10*g**3/3 - 2*g**2.
-2*g**2*(g - 1)**2*(g + 3)/3
Factor n**2/4 + 9*n/4 - 100.
(n - 16)*(n + 25)/4
Determine z so that z**5 - 12*z**4 - 28*z**3 - 2*z**2 + 27*z + 14 = 0.
-1, 1, 14
Let -2*b**3/3 - 36*b**2 - 640*b - 11264/3 = 0. Calculate b.
-22, -16
Factor 33*z**3/4 + 435*z**2/4 + 39*z/2.
3*z*(z + 13)*(11*z + 2)/4
Factor 2*w**3 - 8*w**2 - 38*w - 28.
2*(w - 7)*(w + 1)*(w + 2)
Solve -4*z**4 - 140*z**3 - 269*z**2 - 166*z - 33 = 0.
-33, -1, -1/2
Determine g, given that -g**4/4 - 7*g**3/2 - 15*g**2 - 41*g/2 - 35/4 = 0.
-7, -5, -1
Factor -2*x**3/17 + 150*x**2/17 + 18*x + 154/17.
-2*(x - 77)*(x + 1)**2/17
Determine v, given that -v**3 + 55*v**2 - 383*v + 329 = 0.
1, 7, 47
Find c, given that 10*c**5 + 85*c**4 + 270*c**3 + 395*c**2 + 260*c + 60 = 0.
-3, -2, -1, -1/2
What is h in h**2/4 + 58*h = 0?
-232, 0
Factor 36*a**2 + 192*a + 256.
4*(3*a + 8)**2
Factor 2*v**2/5 - 2624*v/5.
2*v*(v - 1312)/5
Factor -4*v**4 + 440*v**3 - 12100*v**2.
-4*v**2*(v - 55)**2
Factor -p**3 + 9*p**2 - 15*p - 25.
-(p - 5)**2*(p + 1)
Determine k, given that -2*k**5/11 - 14*k**4/11 - 20*k**3/11 + 4*k**2/11 + 2*k + 10/11 = 0.
-5, -1, 1
Suppose f**3 + 9*f**2 - f - 9 = 0. What is f?
-9, -1, 1
Factor -j**4/7 + 2*j**3 - 5*j**2 + 22*j/7.
-j*(j - 11)*(j - 2)*(j - 1)/7
Find p such that 2*p**3 - 90*p**2 - 626*p + 714 = 0.
-7, 1, 51
Find u such that -4*u**4/5 - 28*u**3/5 + 28*u**2/5 + 44*u + 168/5 = 0.
-7, -2, -1, 3
Factor -2*m**3 - 474*m**2 - 37446*m - 986078.
-2*(m + 79)**3
Factor -18*x**3/17 - 1066*x**2/17 - 236*x/17.
-2*x*(x + 59)*(9*x + 2)/17
Determine d so that 2*d**5 + 54*d**4 - 2*d**3 - 54*d**2 = 0.
-27, -1, 0, 1
Determine v so that 20*v**4 - 1025*v**3 + 175*v**2 + 4100*v - 1020 = 0.
-2, 1/4, 2, 51
Factor -3*g**5/7 - 39*g**4/7 - 18*g**3 - 174*g**2/7 - 111*g/7 - 27/7.
-3*(g + 1)**4*(g + 9)/7
Factor -3*n**4 + 18*n**3 - 15*n**2.
-3*n**2*(n - 5)*(n - 1)
What is b in 3*b**2/2 + b + 1/6 = 0?
-1/3
Solve 2*z**3 + 2*z**2 - 152*z + 280 = 0.
-10, 2, 7
Find u, given that -2*u**3 + 6*u**2 + 36*u = 0.
-3, 0, 6
Let 3*b**3 + 141*b**2 + 858*b + 720 = 0. Calculate b.
-40, -6, -1
Factor 4*q**2 + 8*q + 4.
4*(q + 1)**2
Factor -s**2/9 + 7*s/9 - 2/3.
-(s - 6)*(s - 1)/9
Determine h, given that -h**2 + 55*h + 1050 = 0.
-15, 70
Find m such that 4*m**5/7 + 3*m**4/7 - m**3/7 = 0.
-1, 0, 1/4
Factor -4*q**3 + 240*q**2 + 4*q - 240.
-4*(q - 60)*(q - 1)*(q + 1)
Determine z, given that 4*z**3 - 24*z**2 - 76*z + 96 = 0.
-3, 1, 8
Let -441*x**5/8 - 115899*x**4/2 - 122124129*x**3/8 - 75352737*x**2/4 - 14063175*x/2 - 826875 = 0. What is x?
-525, -2/3, -2/7
Determine m so that -4*m**4/9 + 58*m**3/9 - 88*m**2/9 - 254*m/3 + 44 = 0.
-3, 1/2, 6, 11
Factor 2*q**4/5 - 42*q**2/5 - 8*q.
2*q*(q - 5)*(q + 1)*(q + 4)/5
Factor 4*z**3 - 152*z**2 + 288*z.
4*z*(z - 36)*(z - 2)
Determine b, given that -7*b**5 + 11*b**4 + 46*b**3 - 44*b**2 - 72*b = 0.
-2, -1, 0, 2, 18/7
Solve 2*v**5/13 + 42*v**4/13 + 244*v**3/13 - 32*v**2/13 - 2304*v/13 + 2048/13 = 0.
-8, 1, 2
What is j in -289*j**4/3 + 1853*j**3/3 - 3680*j**2/3 + 2116*j/3 = 0?
0, 1, 46/17
Factor 2*d**3 - 3600*d**2 + 2160000*d - 432000000.
2*(d - 600)**3
Determine l so that -2*l**2/13 - 1280*l/13 - 204800/13 = 0.
-320
Determine l, given that 2*l**4 + 46*l**3 + 354*l**2 + 1090*l + 1100 = 0.
-11, -5, -2
Suppose -2*v**3/9 - 160*v**2/3 + 2*v/9 + 160/3 = 0. Calculate v.
-240, -1, 1
Factor -3*f**3/8 + 513*f**2/8 + 3159*f/8 + 4779/8.
-3*(f - 177)*(f + 3)**2/8
Let -3*i**4 + 30*i**3 + 93*i**2 - 264*i + 144 = 0. Calculate i.
-4, 1, 12
Solve 3*z**2 + 135*z + 378 = 0.
-42, -3
Factor -2*w**3 + 1808*w**2 - 410410*w + 813604.
-2*(w - 451)**2*(w - 2)
Solve -3*a**5 - 30*a**4 - 45*a**3 + 30*a**2 + 48*a = 0.
-8, -2, -1, 0, 1
Factor 2*s**3 + 544*s**2 + 3694*s - 4240.
2*(s - 1)*(s + 8)*(s + 265)
Let -45*a**3 - 8580*a**2 - 425600*a - 1568000 = 0. Calculate a.
-280/3, -4
Suppose 2*f**2 - 26*f + 60 = 0. What is f?
3, 10
Factor 2*g**4 + 146*g**3 + 822*g**2 + 1206*g.
2*g*(g + 3)**2*(g + 67)
Solve 3*c**2/7 + 369*c/7 - 750/7 = 0 for c.
-125, 2
Find l such that 3*l**5 - 3*l**4/2 - 240*l**3 - 273*l**2 + 5145*l + 25725/2 = 0.
-5, -7/2, 7
Find b, given that 18*b**4/7 + 6*b**3 - 34*b**2/7 + 6*b/7 = 0.
-3, 0, 1/3
Factor 2*x**4/9 - 32*x**3/9 + 148*x**2/9 - 208*x/9 + 10.
2*(x - 9)*(x - 5)*(x - 1)**2/9
Factor 32*g**4/7 - 48*g**3 + 162*g**2/7 - 20*g/7.
2*g*(g - 10)*(4*g - 1)**2/7
