*j.
4*j*(j - 14)**2*(j + 1)**2/7
Find r, given that 2*r**2/9 - 1024*r/9 + 131072/9 = 0.
256
Factor a**2/10 + 3*a/2 + 22/5.
(a + 4)*(a + 11)/10
Determine g, given that g**2 + 887*g = 0.
-887, 0
Solve 2*f**3 - 9*f**2 + 7*f = 0.
0, 1, 7/2
Solve -q**5/5 + 6*q**4 + 164*q**3/5 - 984*q**2/5 + 1088*q/5 = 0.
-8, 0, 2, 34
Suppose o**3 - 3*o**2 + 2*o = 0. Calculate o.
0, 1, 2
Factor 2*g**3/5 + 232*g**2/5 - 952*g/5 + 192.
2*(g - 2)**2*(g + 120)/5
Suppose -2*k**5/13 + 22*k**3/13 - 36*k**2/13 + 16*k/13 = 0. What is k?
-4, 0, 1, 2
Find i such that i**4/2 + 27*i**3/4 + 25*i**2/4 - 69*i/2 - 18 = 0.
-12, -3, -1/2, 2
Factor -d**3/7 - 99*d**2/7 - 474*d/7 - 376/7.
-(d + 1)*(d + 4)*(d + 94)/7
Suppose -f**5/3 + 28*f**4/3 - 167*f**3/3 + 140*f**2/3 = 0. Calculate f.
0, 1, 7, 20
Factor 2*l**3/5 - 16*l**2 + 296*l/5 - 288/5.
2*(l - 36)*(l - 2)**2/5
Determine b so that -5*b**4 + 95*b**3 - 660*b**2 + 1980*b - 2160 = 0.
3, 4, 6
Find m, given that 87*m**2 + 342*m - 24 = 0.
-4, 2/29
Suppose -35*h**5/4 - 5655*h**4 - 3680515*h**3/4 - 4165075*h**2/2 - 1427265*h - 259210 = 0. Calculate h.
-322, -1, -2/7
What is q in -7*q**3 + 83*q**2 - 65*q - 11 = 0?
-1/7, 1, 11
Suppose 3*m**4 - 30*m**3 - 96*m**2 + 1152*m = 0. What is m?
-6, 0, 8
Factor 3*g**3 + 21*g**2 - 240*g - 1728.
3*(g - 9)*(g + 8)**2
Factor -h**2 + 56*h - 460.
-(h - 46)*(h - 10)
Factor -x**3/7 + 10*x**2/7 - 23*x/7 + 2.
-(x - 7)*(x - 2)*(x - 1)/7
Solve -x**4/4 + 2*x**3 - 11*x**2/2 + 6*x - 9/4 = 0.
1, 3
Suppose 2*b**4/17 - 32*b**3/17 + 42*b**2/17 + 1188*b/17 - 3888/17 = 0. What is b?
-6, 4, 9
Find o, given that 20*o**3 + 304*o**2 + 468*o - 792 = 0.
-66/5, -3, 1
Find c such that c**3 - 5*c**2 - c + 5 = 0.
-1, 1, 5
Solve -2*k**5/3 + 2*k**4 + 16*k**3/3 - 8*k**2 - 32*k/3 = 0.
-2, -1, 0, 2, 4
Find g such that 8*g**4/3 - 1118*g**3/3 - 280*g**2/3 = 0.
-1/4, 0, 140
Let 2*g**5/11 - 2*g**4/11 - 6*g**3/11 + 2*g**2/11 + 4*g/11 = 0. What is g?
-1, 0, 1, 2
Factor -l**4/8 - 3*l**3/8 - l**2/4.
-l**2*(l + 1)*(l + 2)/8
Factor o**3 + 7*o**2 - 192*o + 684.
(o - 6)**2*(o + 19)
Find u, given that 2*u**2/3 - 116*u - 1424/3 = 0.
-4, 178
Factor 2*y**2/7 + 488*y/7 - 70.
2*(y - 1)*(y + 245)/7
Factor 6*i**3 - 45*i**2 - 27*i + 24.
3*(i - 8)*(i + 1)*(2*i - 1)
Suppose z**2/8 - z/8 - 1/4 = 0. Calculate z.
-1, 2
Factor t**3 - 6*t**2 + 32.
(t - 4)**2*(t + 2)
Factor 2*b**3/3 + 130*b**2/3 + 124*b/3 - 256/3.
2*(b - 1)*(b + 2)*(b + 64)/3
Let -4*v**4/3 + 47*v**3/3 + 64*v**2/3 + 13*v/3 = 0. Calculate v.
-1, -1/4, 0, 13
Find o, given that -o**4/2 + 7*o**2/2 + 3*o = 0.
-2, -1, 0, 3
Suppose 2*x**5 - 20*x**4 + 48*x**3 - 44*x**2 + 14*x = 0. Calculate x.
0, 1, 7
Factor w**3/9 + 2*w**2/3 - 9*w + 130/9.
(w - 5)*(w - 2)*(w + 13)/9
Factor -3*l**3 - 24*l**2 - 21*l.
-3*l*(l + 1)*(l + 7)
Determine g, given that 18*g**3 + 26*g**2 - 28*g - 16 = 0.
-2, -4/9, 1
Factor 241*t**3/5 + 145*t**2 + 488*t/5 + 4/5.
(t + 1)*(t + 2)*(241*t + 2)/5
Let 4*z**2 - 3264*z + 665856 = 0. Calculate z.
408
Solve 4*w**3 - 496*w**2 + 4660*w - 11400 = 0 for w.
5, 114
Determine j so that 14*j**5/19 - 124*j**4/19 + 150*j**3/19 + 640*j**2/19 - 584*j/19 - 96/19 = 0.
-2, -1/7, 1, 4, 6
Let 7*r**2/6 - r/6 - 1 = 0. What is r?
-6/7, 1
Factor w**3/4 - 63*w**2/2 + 1023*w - 1922.
(w - 62)**2*(w - 2)/4
Determine t, given that 3*t**5 + 24*t**4 + 39*t**3 - 78*t**2 - 192*t - 96 = 0.
-4, -1, 2
Factor -2*c**3 + 13*c**2/2 - 11*c/2 + 1.
-(c - 2)*(c - 1)*(4*c - 1)/2
Suppose 2*a**4 - 6*a**3 - 62*a**2 + 126*a + 180 = 0. Calculate a.
-5, -1, 3, 6
Solve 8*z**3 - 154*z**2 - 122*z + 40 = 0 for z.
-1, 1/4, 20
Let 4*d**2 + 12*d - 432 = 0. What is d?
-12, 9
Let k**3/4 - 108*k**2 + 15552*k - 746496 = 0. What is k?
144
Find g, given that -g**2 - 94*g + 1760 = 0.
-110, 16
Factor -2*c**2 - 270*c - 792.
-2*(c + 3)*(c + 132)
Factor -2400*d**2 + 120*d - 3/2.
-3*(40*d - 1)**2/2
Find i, given that -i**3/4 + 7*i**2/4 - 5*i/2 = 0.
0, 2, 5
Factor 5*x**3 + 20*x**2 - 15*x - 90.
5*(x - 2)*(x + 3)**2
Let -2*x**2 - 20*x + 192 = 0. Calculate x.
-16, 6
Factor -5*j**2 + 33670*j - 56683445.
-5*(j - 3367)**2
Suppose -r**4/11 + 9*r**2/11 + 4*r/11 - 12/11 = 0. Calculate r.
-2, 1, 3
Factor 2*c**4/11 - 16*c**3/11 + 14*c**2/11.
2*c**2*(c - 7)*(c - 1)/11
Factor -r**3/12 - 4*r**2/3 - 35*r/12 + 13/3.
-(r - 1)*(r + 4)*(r + 13)/12
Factor 708*s**3 + 6375*s**2 + 27*s.
3*s*(s + 9)*(236*s + 1)
Factor s**3/5 + 2*s**2 - 191*s/5 + 36.
(s - 9)*(s - 1)*(s + 20)/5
Factor -5*u**2/4 + 2235*u/4 - 2225/2.
-5*(u - 445)*(u - 2)/4
Find c, given that 4*c**3/3 + 44*c**2 = 0.
-33, 0
Factor 3*i**2 + 3*i - 396.
3*(i - 11)*(i + 12)
Factor -2*g**2 + 1598*g + 1600.
-2*(g - 800)*(g + 1)
Let -6*d**3 + 51*d**2 - 57*d - 42 = 0. Calculate d.
-1/2, 2, 7
Factor -28*l**2 + 428*l - 120.
-4*(l - 15)*(7*l - 2)
Suppose 2*b**2/5 - 340*b + 72250 = 0. Calculate b.
425
Find l such that l**3 + 1086*l**2 + 393132*l + 47437928 = 0.
-362
Factor 3*i**2 - 93*i + 702.
3*(i - 18)*(i - 13)
Factor -5*d**3 + 910*d**2 - 6915*d - 7830.
-5*(d - 174)*(d - 9)*(d + 1)
Factor 3*o**3 - 54*o**2 + 51*o.
3*o*(o - 17)*(o - 1)
Solve -3*d**5/2 - 53*d**4 - 213*d**3/2 + 293*d**2 - 132*d = 0 for d.
-33, -4, 0, 2/3, 1
Find y, given that 2*y**5 - 36*y**4 - 714*y**3 - 2828*y**2 - 888*y + 4464 = 0.
-6, -2, 1, 31
Determine u so that 4*u**3 + 372*u**2 + 4032*u + 11664 = 0.
-81, -6
Factor y**3/3 - 23*y**2/3 + 143*y/3 - 121/3.
(y - 11)**2*(y - 1)/3
Factor -2*n**4 - 13*n**3/2 + 37*n**2/2 + 5*n.
-n*(n - 2)*(n + 5)*(4*n + 1)/2
Factor -c**2/5 - 4*c/5.
-c*(c + 4)/5
Find f such that -3*f**3/4 + 3*f**2/2 + 33*f/4 - 9 = 0.
-3, 1, 4
Let 20*w**5 + 92*w**4 - 300*w**3 + 244*w**2 - 56*w = 0. What is w?
-7, 0, 2/5, 1
Suppose j**5/2 + 11*j**4/2 + 45*j**3/2 + 81*j**2/2 + 27*j = 0. Calculate j.
-3, -2, 0
Factor -s**4/8 + 45*s**3/4 - 169*s**2/8 - 153*s/2 - 44.
-(s - 88)*(s - 4)*(s + 1)**2/8
Factor 3*p**2/2 + 774*p.
3*p*(p + 516)/2
Factor k**4/4 - 11*k**2/4 + 9*k/2 - 2.
(k - 2)*(k - 1)**2*(k + 4)/4
Factor -3*t**3 + 120*t**2 - 639*t + 918.
-3*(t - 34)*(t - 3)**2
What is a in 4*a**5 - 212*a**4 + 2848*a**3 - 15312*a**2 + 33408*a - 20736 = 0?
1, 4, 6, 36
Suppose 3*y**4 + 12*y**3 - 57*y**2 + 42*y = 0. What is y?
-7, 0, 1, 2
What is h in -3*h**4/4 - 15*h**3/2 - 99*h**2/4 - 30*h - 12 = 0?
-4, -1
Factor 2*n**2 - 1112*n + 154568.
2*(n - 278)**2
Factor -10*f**3/7 - 4*f**2/7.
-2*f**2*(5*f + 2)/7
Factor 34*i**5 - 684*i**4 + 3480*i**3 - 400*i**2.
2*i**2*(i - 10)**2*(17*i - 2)
Factor k**4/11 - 137*k**3/11 + 271*k**2/11 - 135*k/11.
k*(k - 135)*(k - 1)**2/11
Find w, given that w**4 + 5*w**3/2 - 4*w**2 - 17*w/2 - 3 = 0.
-3, -1, -1/2, 2
Suppose d**2 + d - 342 = 0. What is d?
-19, 18
Factor -4*f**2 + 8*f/3.
-4*f*(3*f - 2)/3
Factor -2*y**4/11 + 56*y**3/11 - 36*y**2 - 88*y + 1210.
-2*(y - 11)**3*(y + 5)/11
Let -r**5/5 - 2*r**4 - 37*r**3/5 - 64*r**2/5 - 52*r/5 - 16/5 = 0. What is r?
-4, -2, -1
Let -t**4/8 + 13*t**3/4 + 291*t**2/8 + 205*t/2 + 175/2 = 0. What is t?
-5, -2, 35
Factor 202*c**5/13 + 812*c**4/13 + 1228*c**3/13 + 64*c**2 + 218*c/13 + 4/13.
2*(c + 1)**4*(101*c + 2)/13
Let 5*h**4/4 + 112*h**3 + 265*h**2/4 - 89*h/2 = 0. What is h?
-89, -1, 0, 2/5
Let -3*h**2 + 3024*h - 762048 = 0. Calculate h.
504
Determine y so that y**2/5 - 8*y + 80 = 0.
20
Factor -14*q**3 + 16*q**2 - 2*q.
-2*q*(q - 1)*(7*q - 1)
Solve -2*k**3/7 - 32*k**2/7 + 110*k/7 - 76/7 = 0 for k.
-19, 1, 2
Factor -4*l**5/9 + 100*l**4/9 - 40*l**3 + 520*l**2/9 - 340*l/9 + 28/3.
-4*(l - 21)*(l - 1)**4/9
Determine w, given that -4*w**3/3 - 1802*w**2/3 - 898*w/3 + 300 = 0.
-450, -1, 1/2
Suppose 9*b**2/7 - 3000*b/7 + 3984/7 = 0. What is b?
4/3, 332
Solve -5*r**2 + 560*r - 15680 = 0 for r.
56
Find q such that 3*q**3/5 - 30*q**2 + 147*q/5 = 0.
0, 1, 49
Determine a so that -a**4 + 14*a**3 - 45*a**2 + 52*a - 20 = 0.
1, 2, 10
Factor 185*o**2 + 3500*o - 285.
5*(o + 19)*(37*o - 3)
Factor 3*z**4 - 150*z**3 - 972*z**2 - 1992*z - 1344.
3*(z - 56)*(z + 2)**3
Suppose 2*g**2 - 30*g + 88 = 0. What is g?
4, 11
Factor -2*b**2/7 - 250*b/7 - 2300/7.
-2*(b + 10)*(b + 115)/7
Solve -14*c**5 - 212*c**4/5 + 204*c**3/5 + 496*c**2/5 - 406*c/5 - 12/5 = 0 for c.
-3, -2, -1/35, 1
Determine w, given that w**5 - 17*w**4/4 - 18*w**3 - 37*w**2/4 + 7*w/2 = 0.
-2, -1, 0, 1/4, 7
Suppose -21*q**2/4 + 19*q/4 + 1/2 = 0. What is q?
-2/21, 1
Determine q, given that -48*q**4 - 10008*q**3 + 5013*q**2 - 627*q = 0.
-209, 0, 1/4
Let 57*a**3/4 + 93*a**2/2 + 201*a/4