/7.
-(r + 591)*(2*r - 1)/7
Factor -5*p**3 + 45*p**2 - 120*p + 100.
-5*(p - 5)*(p - 2)**2
Suppose 2*o**5 - 6*o**4 - 30*o**3 - 34*o**2 - 12*o = 0. Calculate o.
-1, 0, 6
Find f such that -2*f**4 - 26*f**3 - 14*f**2 + 474*f - 432 = 0.
-9, -8, 1, 3
Factor 3*t**4/4 - 9*t**3/4 - 9*t**2/2 + 6*t.
3*t*(t - 4)*(t - 1)*(t + 2)/4
Suppose 6*l**4 + 105*l**3 + 516*l**2 + 471*l - 378 = 0. What is l?
-9, -7, -2, 1/2
Find s such that -5*s**4 - 18*s**3 - 17*s**2 + 4 = 0.
-2, -1, 2/5
Suppose 4*z**3 + 8*z**2 - 4*z - 8 = 0. Calculate z.
-2, -1, 1
Factor 3*k**2/4 - 606*k + 122412.
3*(k - 404)**2/4
Determine p, given that -2*p**4/11 + 292*p**3/11 + 888*p**2/11 + 892*p/11 + 298/11 = 0.
-1, 149
Factor -2*u**2/7 + 132*u/7.
-2*u*(u - 66)/7
Determine z so that -21*z**3 - 18*z**2 + 3*z = 0.
-1, 0, 1/7
Factor 5*x**3 - 155*x**2 + 1435*x - 4165.
5*(x - 17)*(x - 7)**2
Suppose -2*p**3 + 178*p**2 + 362*p + 182 = 0. Calculate p.
-1, 91
Determine t so that -7*t**4/2 + 48*t**3 - 315*t**2/2 - 49*t = 0.
-2/7, 0, 7
Solve m**4/2 + 45*m**3/2 = 0 for m.
-45, 0
What is g in -22*g**4 - 468*g**3 - 2766*g**2 - 5296*g - 1248 = 0?
-13, -4, -3/11
Determine n so that 2*n**5 + 54*n**4 + 348*n**3 + 884*n**2 + 930*n + 342 = 0.
-19, -3, -1
Find j such that -2*j**2/5 - 124*j/5 - 306 = 0.
-45, -17
Factor -2*y**4/3 + 4*y**3/3 + 14*y**2/3 + 8*y/3.
-2*y*(y - 4)*(y + 1)**2/3
Factor -b**3 + 37*b**2 - 416*b + 1280.
-(b - 16)**2*(b - 5)
Factor r**4/2 - r**3/2 - 23*r**2/2 - 3*r/2 + 45.
(r - 5)*(r - 2)*(r + 3)**2/2
Factor -2*v**2 - 688*v - 59168.
-2*(v + 172)**2
Suppose -4*g**3 + 4*g**2 + 8*g = 0. Calculate g.
-1, 0, 2
Factor -2*d**3 - 478*d**2 - 28320*d + 28800.
-2*(d - 1)*(d + 120)**2
Suppose -3*f**2/4 - 24*f - 621/4 = 0. What is f?
-23, -9
Factor -3*r**3/2 - 1593*r**2 - 563922*r - 66542796.
-3*(r + 354)**3/2
Factor -7207500*y**2/7 + 9300*y/7 - 3/7.
-3*(1550*y - 1)**2/7
What is p in -3*p**3 + 24*p**2 + 183*p + 156 = 0?
-4, -1, 13
Factor 4*l**4 - 96*l**3 - 364*l**2 + 1080*l.
4*l*(l - 27)*(l - 2)*(l + 5)
Factor -3*s**3 - 66*s**2 + 141*s - 72.
-3*(s - 1)**2*(s + 24)
Find l such that -2*l**5/5 - 14*l**4/5 - 28*l**3/5 - 4*l**2/5 + 6*l + 18/5 = 0.
-3, -1, 1
Solve 3*q**5 - 33*q**4 + 117*q**3 - 111*q**2 - 120*q + 144 = 0.
-1, 1, 3, 4
What is t in -2*t**4/15 - 28*t**3/15 + 62*t**2/15 - 32*t/15 = 0?
-16, 0, 1
Find o such that 5*o**3/2 + 535*o**2 + 1065*o/2 = 0.
-213, -1, 0
Factor -2*f**3/9 - 134*f**2/9 - 208*f + 1440.
-2*(f - 5)*(f + 36)**2/9
Factor 2*q**2/5 + 42*q/5 - 44/5.
2*(q - 1)*(q + 22)/5
Find d such that d**3/12 - 3*d**2/2 - 7*d/4 + 19/6 = 0.
-2, 1, 19
What is g in 2*g**5/17 - 10*g**4/17 - 4*g**3/17 + 20*g**2/17 + 2*g/17 - 10/17 = 0?
-1, 1, 5
Factor -7*v**4 + 120*v**3 - 297*v**2 - 2060*v + 300.
-(v - 10)**2*(v + 3)*(7*v - 1)
Solve -2*g**2/9 + 254*g/9 - 616 = 0 for g.
28, 99
Factor 21*q**3 + 78*q**2 + 39*q - 18.
3*(q + 1)*(q + 3)*(7*q - 2)
Let 2*v**3 - 104*v**2 - 1464*v - 4608 = 0. Calculate v.
-6, 64
Suppose -k**5/2 + 3*k**4 - 9*k**3/2 - 2*k**2 + 6*k = 0. Calculate k.
-1, 0, 2, 3
Determine g, given that -3*g**2/4 - 426*g - 1701/4 = 0.
-567, -1
Let -3*f**3 + 33*f**2 - 30*f = 0. What is f?
0, 1, 10
Let -3*l**2 - 375*l + 1152 = 0. Calculate l.
-128, 3
Determine m, given that -8*m**5 - 4468*m**4 + 6716*m**3 - 2240*m**2 = 0.
-560, 0, 1/2, 1
Determine g, given that 2*g**2/17 + 28*g/17 + 98/17 = 0.
-7
What is k in 3*k**3 + 84*k**2 - 375*k + 288 = 0?
-32, 1, 3
Determine x so that 20*x**5/9 + 46*x**4/3 + 34*x**3/3 - 40*x**2/9 - 8*x/3 = 0.
-6, -1, -2/5, 0, 1/2
Let 2*b**3 + 20*b**2 + 18*b = 0. Calculate b.
-9, -1, 0
Find c such that -c**5 + 79*c**3 + 398*c**2 + 672*c + 352 = 0.
-4, -2, -1, 11
Let 12*x**5 + 128*x**4 + 160*x**3 - 920*x**2 + 788*x - 168 = 0. What is x?
-7, -6, 1/3, 1
Factor -2*j**2/9 - 22*j.
-2*j*(j + 99)/9
Factor r**5/5 - 8*r**4 - 84*r**3/5 - 2*r**2/5 + 83*r/5 + 42/5.
(r - 42)*(r - 1)*(r + 1)**3/5
Solve -2*w**3/5 - 200*w**2 + 3014*w/5 - 2012/5 = 0.
-503, 1, 2
Factor 3*p**3/7 - 243*p**2/7 - 3*p/7 + 243/7.
3*(p - 81)*(p - 1)*(p + 1)/7
Factor -b**4 + 64*b**3 - 958*b**2 - 2112*b - 1089.
-(b - 33)**2*(b + 1)**2
Factor -2*l**4 + 8*l**2.
-2*l**2*(l - 2)*(l + 2)
Factor -4*o**3 - 44*o**2 - 140*o - 100.
-4*(o + 1)*(o + 5)**2
Factor -2*g**2 - 10*g.
-2*g*(g + 5)
Suppose -2*a**3/15 + 26*a/15 - 8/5 = 0. Calculate a.
-4, 1, 3
Factor -r**3/3 - 262*r**2/9 + 1280*r/9 - 736/9.
-(r - 4)*(r + 92)*(3*r - 2)/9
Determine d, given that -9*d**5/5 + 204*d**4/5 - 1212*d**3/5 + 522*d**2/5 + 1221*d/5 - 726/5 = 0.
-1, 2/3, 1, 11
Factor -5*r**3 - 5*r**2/3 + 20*r/3.
-5*r*(r - 1)*(3*r + 4)/3
Factor 2*f**5/9 + 2*f**4 - 140*f**3/9.
2*f**3*(f - 5)*(f + 14)/9
Factor 4*l**2 + 38216*l + 91278916.
4*(l + 4777)**2
Factor 2*h**2 + 30*h - 108.
2*(h - 3)*(h + 18)
Factor -3*h**2/2 - 27*h - 48.
-3*(h + 2)*(h + 16)/2
Factor 2*z**3/13 + 86*z**2/13 - 1082*z/13 - 1166/13.
2*(z - 11)*(z + 1)*(z + 53)/13
Let 3*l**3 - 54*l**2 + 285*l - 378 = 0. Calculate l.
2, 7, 9
Solve 795*d**4/4 - 246*d**3 + 195*d**2/4 - 3*d/2 = 0 for d.
0, 2/53, 1/5, 1
Determine m, given that 6*m**5/7 + 58*m**4/7 - 24*m**3/7 - 40*m**2/7 = 0.
-10, -2/3, 0, 1
Factor 5*r**2 - 65*r - 240.
5*(r - 16)*(r + 3)
Suppose 35*c**4 + 340*c**3 - 485*c**2 + 110*c = 0. What is c?
-11, 0, 2/7, 1
Solve -2*j**2 - 690*j = 0.
-345, 0
Factor -2*l**2/9 + 13840*l/9 - 23943200/9.
-2*(l - 3460)**2/9
Factor 2*o**3/5 + 64*o**2/5 + 72*o - 2592/5.
2*(o - 4)*(o + 18)**2/5
Factor 2*d**3 - 22*d**2 + 72*d - 72.
2*(d - 6)*(d - 3)*(d - 2)
Let -16*m**5/5 + 52*m**4/5 + 244*m**3/5 + 128*m**2/5 - 48*m/5 = 0. Calculate m.
-2, -1, 0, 1/4, 6
Determine n so that -n**3 + 149*n**2 - 5159*n - 29645 = 0.
-5, 77
Let i**2/2 + 171*i/2 - 86 = 0. Calculate i.
-172, 1
Factor -6*a**3 + 2529*a**2/2 - 65826*a - 84270.
-3*(a - 106)**2*(4*a + 5)/2
Factor 5*f**2 + 145*f + 840.
5*(f + 8)*(f + 21)
Factor i**4/4 + i**3/4 - 5*i**2/4 + 3*i/4.
i*(i - 1)**2*(i + 3)/4
Let p**4/3 - 52*p**3 + 5926*p**2/3 + 4108*p + 6241/3 = 0. What is p?
-1, 79
Find h such that -5*h**5 - 35*h**4 + 15*h**3 + 95*h**2 - 70*h = 0.
-7, -2, 0, 1
Factor -m**3/4 - 117*m**2/4 - 659*m/4 + 777/4.
-(m - 1)*(m + 7)*(m + 111)/4
Factor -4*x**4 + 56*x**3 - 48*x**2 - 56*x + 52.
-4*(x - 13)*(x - 1)**2*(x + 1)
Factor 2*t**4/9 - 2*t**3/9 - 8*t**2/9 + 8*t/9.
2*t*(t - 2)*(t - 1)*(t + 2)/9
Factor -14872*z**2 + 104*z - 2/11.
-2*(286*z - 1)**2/11
Find n, given that 14*n**5/9 - 164*n**4/9 + 110*n**3/3 + 164*n**2/9 - 488*n/9 - 16 = 0.
-1, -2/7, 2, 9
Factor -2*m**4 + 4*m**3 + 16*m**2.
-2*m**2*(m - 4)*(m + 2)
Factor 4*q**2 + 164*q - 168.
4*(q - 1)*(q + 42)
Suppose 2*b**2/9 - 2*b - 8 = 0. What is b?
-3, 12
Suppose h**5/2 + h**4/2 - 27*h**3 - 47*h**2 + 485*h/2 + 525/2 = 0. Calculate h.
-5, -1, 3, 7
Factor 3*y**4 - 6*y**3 - 276*y**2 + 1494*y - 2079.
3*(y - 7)*(y - 3)**2*(y + 11)
Factor -z**4/5 + 8*z**3/5 - 12*z**2/5 - 32*z/5 + 64/5.
-(z - 4)**2*(z - 2)*(z + 2)/5
Factor -297*i**2/7 - 592*i/7 + 4/7.
-(i + 2)*(297*i - 2)/7
Let 4*x**3/3 + 24*x**2 + 80*x + 224/3 = 0. What is x?
-14, -2
Factor -5*q**2 - 715*q + 4470.
-5*(q - 6)*(q + 149)
Factor -20*t**3 - 1955*t**2 - 47530*t + 12005.
-5*(t + 49)**2*(4*t - 1)
Factor -125*h**4 - 550*h**3 - 705*h**2 - 220*h - 20.
-5*(h + 2)**2*(5*h + 1)**2
Factor -4*s**2 - 56*s - 96.
-4*(s + 2)*(s + 12)
Factor -2*t**3/7 + 68*t**2/7 - 128*t/7.
-2*t*(t - 32)*(t - 2)/7
Find r such that -5*r**4 - 630*r**3 - 19205*r**2 + 40320*r - 20480 = 0.
-64, 1
What is s in 5*s**4 - 35*s**3 + 70*s**2 - 40*s = 0?
0, 1, 2, 4
Suppose -3*p**4/2 + 9*p**3/2 + 6*p**2 - 18*p = 0. Calculate p.
-2, 0, 2, 3
What is w in -w**2/4 + 869*w/2 - 755161/4 = 0?
869
Suppose -2*w**4 + 40*w**2 - 128 = 0. What is w?
-4, -2, 2, 4
Let -k**4 + 32*k**3 - 360*k**2 + 1728*k - 3024 = 0. Calculate k.
6, 14
Solve -3*l**3 + 1902*l**2 + 1905*l = 0.
-1, 0, 635
Solve 5*a**2 - 4420*a + 976820 = 0.
442
Let 312*v**4 - 484*v**3 + 180*v**2 - 8*v = 0. Calculate v.
0, 2/39, 1/2, 1
Solve 13*v**2/3 + 85*v/3 - 98/3 = 0.
-98/13, 1
Factor 16*u**3/7 + 212*u**2/7 - 1040*u/7 + 1104/7.
4*(u - 2)**2*(4*u + 69)/7
Factor 3*d**3/4 + 2427*d**2/4 + 121800*d - 370881.
3*(d - 3)*(d + 406)**2/4
Factor 5*p**2/3 + 55600*p/3 + 154568000/3.
5*(p + 5560)**2/3
Factor 2*a**2/5 - 62*a/5 - 1144/5.
2*(a - 44)*(a + 13)/5
Factor 5*q**3 + 450*q**2 + 1305*q.
5*q*(q + 3)*(q + 87)
Solve 10*d**5 - 355*d**4 + 3385*d**3 - 3815*d**2 - 4675*d + 2890 = 0.
-1, 1/2, 2, 17
Facto