 9*i**2 - 12.
3*(i - 1)*(i + 2)**2
Determine m so that m**5 + 7*m**4 + 7*m**3 - 23*m**2 - 8*m + 16 = 0.
-4, -1, 1
Determine j, given that -4*j**3 + 56*j**2 - 256*j + 384 = 0.
4, 6
Factor u**4 - 509*u**3 + 1520*u**2 - 1012*u.
u*(u - 506)*(u - 2)*(u - 1)
Determine z, given that -18*z**5 + 87*z**4 - 129*z**3 + 48*z**2 + 12*z = 0.
-1/6, 0, 1, 2
Determine x, given that -5*x**4 - 10*x**3 + 165*x**2 + 90*x - 1080 = 0.
-6, -3, 3, 4
Factor i**4 - 4*i**3 - 13*i**2 + 28*i + 60.
(i - 5)*(i - 3)*(i + 2)**2
Factor a**2 - 291*a + 290.
(a - 290)*(a - 1)
Factor 2*a**3/11 - 26*a**2/11 + 70*a/11 + 98/11.
2*(a - 7)**2*(a + 1)/11
Let -2*o**3/11 - 24*o**2/11 + 650*o/11 = 0. What is o?
-25, 0, 13
Factor 2*y**4/11 - 4*y**3/11 - 42*y**2/11 - 36*y/11.
2*y*(y - 6)*(y + 1)*(y + 3)/11
Factor 3*c**3 + 2772*c**2 + 640332*c.
3*c*(c + 462)**2
Find c such that 36*c**2 - 17040*c + 2016400 = 0.
710/3
Factor 625*a**5 - 5950*a**4 + 22636*a**3 - 43016*a**2 + 40832*a - 15488.
(a - 2)**3*(25*a - 44)**2
Determine y so that 7*y**5 - 22*y**4 - 25*y**3 + 4*y**2 = 0.
-1, 0, 1/7, 4
Suppose -r**2/4 - 3*r/4 - 1/2 = 0. What is r?
-2, -1
Determine u so that 2*u**2/7 + 4*u - 102/7 = 0.
-17, 3
Find r, given that r**3 - 7*r**2 - 8*r = 0.
-1, 0, 8
Factor -y**4/3 + 7*y**3/3 + 19*y**2 + 15*y - 36.
-(y - 12)*(y - 1)*(y + 3)**2/3
Solve 5*n**5/2 - 55*n**3/2 + 15*n**2 + 70*n - 60 = 0.
-3, -2, 1, 2
Determine x so that 25*x**5 - 5*x**4 - 695*x**3 - 1215*x**2 + 810*x + 1080 = 0.
-3, -4/5, 1, 6
Suppose -5*w**5 + 10*w**3 - 5*w = 0. What is w?
-1, 0, 1
Suppose 2*v**2/5 + 1476*v/5 + 272322/5 = 0. What is v?
-369
Let 2*m**2/7 - 324*m/7 + 46 = 0. What is m?
1, 161
Solve 4*d**4 - 116*d**3 + 404*d**2 + 3284*d + 2760 = 0 for d.
-3, -1, 10, 23
Factor -5*c**4 + 95*c**3 + 330*c**2.
-5*c**2*(c - 22)*(c + 3)
Factor 10*x**3 + 52*x**2 - 130*x - 28.
2*(x - 2)*(x + 7)*(5*x + 1)
What is v in -23*v**3 + 757*v**2 + 848*v + 68 = 0?
-1, -2/23, 34
Factor q**5/2 + 3*q**4/2 - 2*q**3.
q**3*(q - 1)*(q + 4)/2
Find k, given that 5*k**3 - 170*k**2 + 1600*k - 2560 = 0.
2, 16
Factor d**2 + 294*d + 21609.
(d + 147)**2
Factor -q**3/4 - 4*q**2 - 13*q - 12.
-(q + 2)**2*(q + 12)/4
Solve 9*j**3/5 + 879*j**2/5 + 583*j/5 + 97/5 = 0 for j.
-97, -1/3
Let 4*a**2 - 104*a - 108 = 0. What is a?
-1, 27
Determine h, given that h**5/3 + 25*h**4/3 - h**3 - 73*h**2/3 + 50*h/3 = 0.
-25, -2, 0, 1
Suppose -l**5/3 + 41*l**4/3 + 2*l**3/3 - 82*l**2/3 - l/3 + 41/3 = 0. Calculate l.
-1, 1, 41
Determine k so that -k**3/4 - 11*k**2/2 = 0.
-22, 0
Find f such that 3*f**2/7 + 1047*f/7 = 0.
-349, 0
Factor -10*k**5 + 42*k**4 - 68*k**3 + 52*k**2 - 18*k + 2.
-2*(k - 1)**4*(5*k - 1)
Suppose q**5/3 - 14*q**4/3 + 8*q**3/3 + 62*q**2/3 + 13*q = 0. Calculate q.
-1, 0, 3, 13
Factor 2*i**4/9 + 650*i**3/9 + 72*i**2.
2*i**2*(i + 1)*(i + 324)/9
What is k in -20*k**4/9 - 62*k**3/3 - 212*k**2/9 - 10*k/3 + 16/9 = 0?
-8, -1, -1/2, 1/5
Factor 4*d**3/5 + 8*d**2 + 92*d/5 + 56/5.
4*(d + 1)*(d + 2)*(d + 7)/5
Suppose -10*t**2/3 + 126*t + 76/3 = 0. Calculate t.
-1/5, 38
What is l in 3*l**4 + 22*l**3 - l**2 - 52*l + 28 = 0?
-7, -2, 2/3, 1
Factor 2*u**4/7 - 6*u**2/7 - 4*u/7.
2*u*(u - 2)*(u + 1)**2/7
Factor v**2 + 45*v + 86.
(v + 2)*(v + 43)
Factor -q**3/9 - 7*q**2 - 41*q/3 - 61/9.
-(q + 1)**2*(q + 61)/9
Factor 3*z**4.
3*z**4
What is p in p**4/3 + p**3/3 - 2*p**2 - 4*p/3 + 8/3 = 0?
-2, 1, 2
Find a such that 3*a**3/7 - 18*a**2/7 + 15*a/7 + 36/7 = 0.
-1, 3, 4
Let k**5/4 - 19*k**4/4 + 75*k**3/4 + 55*k**2/4 - 49*k - 39 = 0. What is k?
-1, 2, 6, 13
Factor -j**4/4 - 29*j**3/4 + 15*j**2/2.
-j**2*(j - 1)*(j + 30)/4
Find i such that i**3/9 + 10*i**2/3 + 83*i/9 + 6 = 0.
-27, -2, -1
Determine j so that -70*j**4/9 - 54*j**3 - 952*j**2/9 - 56*j + 32/9 = 0.
-4, -2, -1, 2/35
Factor 2*b**3 - 46*b**2 + 214*b - 170.
2*(b - 17)*(b - 5)*(b - 1)
Let -2*f**4/13 - 24*f**3/13 - 84*f**2/13 - 40*f/13 + 150/13 = 0. Calculate f.
-5, -3, 1
Let 2*d**3/5 - 6*d**2/5 - 66*d/5 + 14 = 0. What is d?
-5, 1, 7
Factor -4*q**3 + 88*q**2 - 640*q + 1536.
-4*(q - 8)**2*(q - 6)
Solve 18*j**4/13 - 32*j**3/13 + 10*j**2/13 + 4*j/13 = 0.
-2/9, 0, 1
Solve -u**3/7 + 4*u**2/7 + 128*u/7 - 768/7 = 0 for u.
-12, 8
Find o such that 3*o**5 - 9*o**4 - 33*o**3 + 9*o**2 + 30*o = 0.
-2, -1, 0, 1, 5
Factor 3*z**3/2 - 195*z**2/2 + 381*z/2 - 189/2.
3*(z - 63)*(z - 1)**2/2
Factor 2*c**3/9 + 208*c**2/9 - 856*c/9 + 96.
2*(c - 2)**2*(c + 108)/9
Solve 2*c**4 + 444*c**3 + 442*c**2 = 0.
-221, -1, 0
Find z, given that 2*z**4/5 - 16*z**3/5 - 2*z**2/5 + 16*z/5 = 0.
-1, 0, 1, 8
Factor -n**4/3 - n**3/3 + 10*n**2/3 - 8*n/3.
-n*(n - 2)*(n - 1)*(n + 4)/3
Factor 2*o**4 + 28*o**3 - 6*o**2 - 88*o - 56.
2*(o - 2)*(o + 1)**2*(o + 14)
Determine g, given that 2*g**4/11 - 2274*g**3/11 + 861846*g**2/11 - 108879878*g/11 = 0.
0, 379
Factor 94*v**2 - 98*v + 4.
2*(v - 1)*(47*v - 2)
Solve -4*n**2 + 26432*n - 43665664 = 0.
3304
Determine y, given that -y**3/2 - 20*y**2 + 87*y/2 + 63 = 0.
-42, -1, 3
Factor -l**2/5 + 674*l - 567845.
-(l - 1685)**2/5
Find q, given that -98*q**4 - 350*q**3 - 176*q**2 - 24*q = 0.
-3, -2/7, 0
Factor -2*i**2 + 126*i + 128.
-2*(i - 64)*(i + 1)
Let -2*r**4/3 + 12*r**3 - 32*r**2/3 - 12*r + 34/3 = 0. What is r?
-1, 1, 17
Factor 8*s**5 - 40*s**4 + 66*s**3 - 40*s**2 + 8*s.
2*s*(s - 2)**2*(2*s - 1)**2
Suppose 3*n**4 - 6*n**3 - 3*n**2 + 6*n = 0. Calculate n.
-1, 0, 1, 2
Determine h, given that -h**3 - 81*h**2 - 1887*h - 9583 = 0.
-37, -7
Factor 2*c**5 - 4*c**4 - 24*c**3 - 28*c**2 - 10*c.
2*c*(c - 5)*(c + 1)**3
Factor 2*a**3/11 - 10*a**2/11 + 4*a/11 + 16/11.
2*(a - 4)*(a - 2)*(a + 1)/11
Factor -28*i**4 - 35776*i**3 - 15233760*i**2 - 2160290304*i + 618470208.
-4*(i + 426)**3*(7*i - 2)
Suppose -c**4 + 10*c**3 - 16*c**2 = 0. Calculate c.
0, 2, 8
Solve 8*g**4/5 - 28*g**3/5 + 28*g**2/5 - 8*g/5 = 0.
0, 1/2, 1, 2
Determine j so that 5*j**3 - 715*j**2 + 26600*j - 73500 = 0.
3, 70
Factor 4*c**2 + 24*c.
4*c*(c + 6)
Factor r**2/3 + 598*r/3 - 599/3.
(r - 1)*(r + 599)/3
Factor -2*w**2 + 90*w.
-2*w*(w - 45)
Factor -3*y**5 + 78*y**4 + 501*y**3 - 13104*y**2 - 84672*y.
-3*y*(y - 21)**2*(y + 8)**2
Factor -4*g**3/3 + 16*g + 64/3.
-4*(g - 4)*(g + 2)**2/3
Factor -3*l**2 + 156*l - 2028.
-3*(l - 26)**2
Determine x, given that -2*x**4/5 + 62*x**3/5 + 434*x**2/5 + 74*x = 0.
-5, -1, 0, 37
Find b, given that 3*b**5/4 + 3*b**4/2 - 6*b**3 - 12*b**2 + 12*b + 24 = 0.
-2, 2
Determine t so that -15*t**4 + 1745*t**3 - 540*t**2 - 4620*t - 2320 = 0.
-1, -2/3, 2, 116
Let -15*p**5 - 50*p**4 + 445*p**3 - 840*p**2 + 620*p - 160 = 0. Calculate p.
-8, 2/3, 1, 2
Let -18*w**3/7 + 6*w**2 + 10*w/7 - 50/7 = 0. What is w?
-1, 5/3
Solve 2*t**2/9 = 0.
0
Suppose 5*s**5 + 65*s**4 + 80*s**3 - 960*s**2 = 0. Calculate s.
-8, 0, 3
Factor g**4/4 - 41*g**3/2 + 1593*g**2/4 + 945*g - 1323.
(g - 42)**2*(g - 1)*(g + 3)/4
Factor 2*z**4/7 - 86*z**2/7 - 300*z/7 - 288/7.
2*(z - 8)*(z + 2)*(z + 3)**2/7
Determine r, given that -18*r**3/13 + 1182*r**2/13 - 782*r/13 + 10 = 0.
1/3, 65
Suppose -4*v**3 - 3724*v**2 - 14848*v - 14832 = 0. What is v?
-927, -2
Solve n**3/2 - 47*n**2/2 + 651*n/2 - 2205/2 = 0 for n.
5, 21
Find o, given that 2*o**2/3 + 7052*o/3 + 6216338/3 = 0.
-1763
Determine f so that 2*f**5/9 - 2*f**4/9 - 26*f**3/9 + 50*f**2/9 - 8*f/3 = 0.
-4, 0, 1, 3
Factor t**2/5 - 93*t/5 + 92/5.
(t - 92)*(t - 1)/5
Find o, given that 2*o**5/9 + 10*o**4/9 + 8*o**3/9 - 32*o**2/9 - 64*o/9 - 32/9 = 0.
-2, -1, 2
Factor -3*u**2/2 - 480*u - 38400.
-3*(u + 160)**2/2
Solve -55*k**2/4 - 163*k/4 + 3/2 = 0.
-3, 2/55
Find m, given that -40*m**5 - 44*m**4 + 84*m**3 + 16*m**2 - 16*m = 0.
-2, -1/2, 0, 2/5, 1
Factor 314*b**3/9 - 70*b**2 + 106*b/3 - 2/9.
2*(b - 1)**2*(157*b - 1)/9
Let -140*o**5 + 332*o**4 + 392*o**3 - 296*o**2 - 252*o - 36 = 0. Calculate o.
-1, -3/7, -1/5, 1, 3
Factor -2*j**2/13 + 1856*j/13 - 430592/13.
-2*(j - 464)**2/13
Factor -3*l**2/2 + 117*l + 1932.
-3*(l - 92)*(l + 14)/2
Solve -h**3/2 + 885*h**2/2 + h/2 - 885/2 = 0.
-1, 1, 885
What is p in 14*p**5/9 - 2342*p**4/9 - 6430*p**3/9 - 5098*p**2/9 - 344*p/9 + 680/9 = 0?
-1, 2/7, 170
Determine z, given that -z**2 + z + 2 = 0.
-1, 2
Find n, given that 2*n**4/3 - 74*n**3 + 2270*n**2/3 - 2350*n + 5000/3 = 0.
1, 5, 100
Factor 2*b**3 + 28*b**2 + 98*b.
2*b*(b + 7)**2
Factor 2*o**3/7 - 74*o**2/7 + 832*o/7 - 2560/7.
2*(o - 16)**2*(o - 5)/7
Let -2*c**2 + 14*c - 12 = 0. What is c?
1, 6
Factor -15*h**3 -