 - 6)/2
Solve 32*r**5 - 184*r**4 + 100*r**3 + 112*r**2 - 60*r = 0.
-3/4, 0, 1/2, 1, 5
Factor -p**2/2 - 39*p/2 + 20.
-(p - 1)*(p + 40)/2
Factor -4*s**3 - 84*s**2 + 184*s.
-4*s*(s - 2)*(s + 23)
Find u, given that -4*u**4/5 - 668*u**3/5 - 27552*u**2/5 + 28224*u/5 = 0.
-84, 0, 1
Let -4*v**5 + 32*v**3 - 24*v**2 - 28*v + 24 = 0. Calculate v.
-3, -1, 1, 2
Suppose 7*j**2/5 + 284*j - 203/5 = 0. What is j?
-203, 1/7
Solve b**4 + b**3 - 10*b**2 - 4*b + 24 = 0.
-3, -2, 2
Factor f**2/4 - 11*f/2 - 75/4.
(f - 25)*(f + 3)/4
Factor -n**4/7 + 45*n**3/7 + 142*n**2/7 + 96*n/7.
-n*(n - 48)*(n + 1)*(n + 2)/7
Solve 4*f**2/3 - 824*f + 127308 = 0.
309
Factor -10*p**2 - 145*p + 155.
-5*(p - 1)*(2*p + 31)
Solve o**5 - 8*o**4 - 46*o**3 - 28*o**2 + 45*o + 36 = 0.
-3, -1, 1, 12
Suppose 15*i**4 + 635*i**3 + 6815*i**2 + 1785*i - 4410 = 0. Calculate i.
-21, -1, 2/3
Factor -2*v**4 + 372*v**3 - 5280*v**2 + 25900*v - 42750.
-2*(v - 171)*(v - 5)**3
Determine u, given that 3*u**3 + 249*u**2 - 768*u + 516 = 0.
-86, 1, 2
Factor r**4/5 + 33*r**3/5 + 231*r**2/5 + 67*r - 120.
(r - 1)*(r + 5)**2*(r + 24)/5
Suppose -5*x**3 + 460*x**2 = 0. Calculate x.
0, 92
Find d such that 10*d**5 + 3666*d**4 - 1498*d**3 - 11018*d**2 - 2928*d + 2936 = 0.
-367, -1, 2/5, 2
Factor p**5 - 8*p**4 + 16*p**3 + 18*p**2 - 81*p + 54.
(p - 3)**3*(p - 1)*(p + 2)
Determine k so that 3*k**5 - 3*k**3 = 0.
-1, 0, 1
Factor r**5 - 3*r**4 - 3*r**3 + 11*r**2 - 6*r.
r*(r - 3)*(r - 1)**2*(r + 2)
What is f in 4*f**3/5 - 184*f**2/5 + 2288*f/5 - 3872/5 = 0?
2, 22
Suppose -10*i**2/9 + 28*i/9 + 16/3 = 0. What is i?
-6/5, 4
Find g, given that 10*g**3 + 6*g**2 - 88*g + 72 = 0.
-18/5, 1, 2
Factor -4*r**2 + 208*r.
-4*r*(r - 52)
Factor -r**4 + 102*r**3 + 420*r**2 + 424*r.
-r*(r - 106)*(r + 2)**2
What is q in 4*q**3 + 72*q**2 + 32*q - 1536 = 0?
-16, -6, 4
Factor -3*z**3/2 + 1737*z**2/2 - 335241*z/2 + 21567171/2.
-3*(z - 193)**3/2
Solve 3*q**5 + 84*q**4 + 648*q**3 + 2112*q**2 + 3120*q + 1728 = 0 for q.
-18, -4, -2
Find j such that 5*j**5/3 - 20*j**4/3 - 1895*j**3/3 + 19670*j**2/3 - 11200*j + 5280 = 0.
-22, 1, 12
Factor -3*c**3/2 - 43*c**2/4 - 79*c/4 - 3.
-(c + 3)*(c + 4)*(6*c + 1)/4
Find n such that 3*n**4/2 - 21*n**3/2 - 9*n**2/2 + 69*n/2 - 21 = 0.
-2, 1, 7
Solve j**5/5 - 8*j**4/5 - 59*j**3/5 + 418*j**2/5 + 544*j/5 - 896/5 = 0 for j.
-7, -2, 1, 8
Determine v, given that v**5/3 - 2*v**4/3 - 8*v**3/3 - 2*v**2/3 + 7*v/3 + 4/3 = 0.
-1, 1, 4
Factor 2*k**4/5 - 138*k**3/5 - 28*k**2.
2*k**2*(k - 70)*(k + 1)/5
Find r, given that 2*r**3 - 38*r**2 + 176*r = 0.
0, 8, 11
Factor -3*u**5 + 42*u**4 - 219*u**3 + 516*u**2 - 528*u + 192.
-3*(u - 4)**3*(u - 1)**2
Determine l so that 2*l**2/13 - 410*l/13 + 408/13 = 0.
1, 204
What is w in -20*w**2/17 + 18*w/17 + 2/17 = 0?
-1/10, 1
Factor -2*c**2/11 + 72*c/11 + 64.
-2*(c - 44)*(c + 8)/11
Factor 5*d**2 - 2270*d + 257645.
5*(d - 227)**2
What is q in -3*q**4/8 + 3*q**3 - 45*q**2/8 = 0?
0, 3, 5
Factor -l**4/8 - 3*l**3/8 + 17*l**2/8 + 39*l/8 + 5/2.
-(l - 4)*(l + 1)**2*(l + 5)/8
Factor -2*p**2 + 348*p - 15138.
-2*(p - 87)**2
Find k, given that -2*k**2/19 + 26*k/19 + 60/19 = 0.
-2, 15
Factor s**3/4 - 13*s**2 + 101*s/4 - 25/2.
(s - 50)*(s - 1)**2/4
Let -4*h**5/9 + 44*h**4/9 + 8*h**3/9 - 88*h**2/9 - 4*h/9 + 44/9 = 0. What is h?
-1, 1, 11
Factor -g**3 - 24*g**2 + 145*g.
-g*(g - 5)*(g + 29)
Let -176*q**3 + 52*q**2 + 24*q = 0. What is q?
-1/4, 0, 6/11
Find k, given that 2*k**3 + 16*k**2/3 + 14*k/3 + 4/3 = 0.
-1, -2/3
Factor -2*z**3 - 4*z**2.
-2*z**2*(z + 2)
Determine z, given that -276*z**5 - 3848*z**4 - 3364*z**3 + 69760*z**2 - 93456*z + 5184 = 0.
-9, 4/69, 2
Factor -3*g**4 - 361*g**3 - 477*g**2 - 119*g.
-g*(g + 1)*(g + 119)*(3*g + 1)
Suppose -p**2/10 - p/5 + 8 = 0. What is p?
-10, 8
Factor 669*l**2/8 - 165*l - 9/2.
3*(l - 2)*(223*l + 6)/8
Factor -3*h**3/7 + 45*h**2 - 1575*h + 18375.
-3*(h - 35)**3/7
Suppose 55*s**3 - 325*s**2 + 250*s = 0. Calculate s.
0, 10/11, 5
Find i such that -2*i**5/11 + 10*i**4/11 + 148*i**3/11 + 240*i**2/11 = 0.
-5, -2, 0, 12
Factor 4*x**4/5 + 48*x**3 + 3832*x**2/5 + 1392*x + 3364/5.
4*(x + 1)**2*(x + 29)**2/5
What is x in -2*x**5/7 - 20*x**4/7 - 8*x**3 - 48*x**2/7 = 0?
-6, -2, 0
Factor r**3/7 - 3*r**2/7 - 4*r + 60/7.
(r - 6)*(r - 2)*(r + 5)/7
Let 5*k**4 + 55*k**3 + 150*k**2 = 0. Calculate k.
-6, -5, 0
Determine y so that -8*y**5/9 - 16*y**4/9 + 6*y**3 + 70*y**2/9 - 100*y/9 = 0.
-5/2, 0, 1, 2
Suppose -5*s**5/4 + 33*s**4/4 - 23*s**3/2 - 11*s**2 + 18*s + 8 = 0. What is s?
-1, -2/5, 2, 4
Suppose -4*k**2 + 168*k - 1764 = 0. Calculate k.
21
Factor 2*a**3/13 + 372*a**2/13 + 23064*a/13 + 476656/13.
2*(a + 62)**3/13
Solve c**2 + 307*c - 308 = 0 for c.
-308, 1
Suppose -r**2/4 - 147*r - 21609 = 0. What is r?
-294
Suppose 42*x**3 - 82*x**2 - 8*x + 8 = 0. Calculate x.
-1/3, 2/7, 2
Factor 4*h**2/5 - 544*h/5 - 548/5.
4*(h - 137)*(h + 1)/5
Let -3*x**2/7 + 456*x/7 - 17328/7 = 0. Calculate x.
76
Let -2*y**5/7 - 40*y**4/7 - 198*y**3/7 + 216*y**2/7 + 2376*y/7 = 0. What is y?
-11, -6, 0, 3
Determine o, given that 8*o**4 - 36*o**3 + 32*o**2 + 36*o - 40 = 0.
-1, 1, 2, 5/2
Let -s**3/2 - 27*s**2 - 340*s = 0. What is s?
-34, -20, 0
Factor 2*y**5/15 - 14*y**4/15 + 12*y**3/5 - 44*y**2/15 + 26*y/15 - 2/5.
2*(y - 3)*(y - 1)**4/15
Find g, given that -2*g**2/3 + 1076*g/3 - 144722/3 = 0.
269
Factor q**2 - 16*q - 57.
(q - 19)*(q + 3)
Find a such that a**3 - a**2/7 - a + 1/7 = 0.
-1, 1/7, 1
Solve -2*s**4/11 - 226*s**3/11 + 692*s**2/11 - 464*s/11 = 0.
-116, 0, 1, 2
Determine c, given that -6498*c**2 + 152*c - 8/9 = 0.
2/171
Factor -8*t**2 + 84*t + 260.
-4*(t - 13)*(2*t + 5)
Factor -j**5/9 - 5*j**4/9 - 10*j**3/9 - 10*j**2/9 - 5*j/9 - 1/9.
-(j + 1)**5/9
Suppose 4*j**2 + 52*j + 48 = 0. What is j?
-12, -1
Factor 4*p**3/3 - 20*p**2 - 96*p - 304/3.
4*(p - 19)*(p + 2)**2/3
Factor 132*v**3 + 4*v**2 - 132*v - 4.
4*(v - 1)*(v + 1)*(33*v + 1)
Find b, given that -b**2/9 + 8*b/9 + 1 = 0.
-1, 9
Determine q, given that q**4/3 - 8*q**3 + 48*q**2 = 0.
0, 12
Factor 2*i**3/15 + 18*i**2 + 178*i/5 + 266/15.
2*(i + 1)**2*(i + 133)/15
Solve 3*n**4 + 117*n**3 - 786*n**2 + 1080*n = 0.
-45, 0, 2, 4
Determine x so that -4*x**3 + 152*x**2 - 1904*x + 7840 = 0.
10, 14
Solve -18*b**5/13 - 3324*b**4/13 - 140450*b**3/13 + 1234576*b**2/13 + 869376*b/13 + 147456/13 = 0.
-96, -1/3, 8
Determine q, given that -3*q**3 + 72*q**2 - 432*q + 768 = 0.
4, 16
Let 4*p**5 + 176*p**4 + 656*p**3 + 640*p**2 = 0. Calculate p.
-40, -2, 0
Let 3*r**4/5 + 96*r**3/5 - 114*r**2/5 - 504*r/5 - 297/5 = 0. What is r?
-33, -1, 3
Factor -z**3/3 + 26*z**2/3 - 71*z/3 + 46/3.
-(z - 23)*(z - 2)*(z - 1)/3
Factor 4*m**2 + 8*m - 252.
4*(m - 7)*(m + 9)
Factor -2*v**2/5 + 3728*v/5 + 746.
-2*(v - 1865)*(v + 1)/5
Factor 5*z**2/4 + 45*z/2.
5*z*(z + 18)/4
Factor 2*p**4/9 + 2*p**3/3 - 20*p**2/9 - 16*p/3.
2*p*(p - 3)*(p + 2)*(p + 4)/9
Suppose -2*u**5 - 22*u**4 + 4*u**3 + 44*u**2 - 2*u - 22 = 0. Calculate u.
-11, -1, 1
Find x such that -4*x**2/7 + 4*x - 24/7 = 0.
1, 6
Factor -10*g**3 + 15*g**2 + 220*g - 225.
-5*(g - 5)*(g - 1)*(2*g + 9)
Determine a so that -a**5/4 - a**4/2 + 9*a**3/2 - 8*a**2 + 23*a/4 - 3/2 = 0.
-6, 1
Factor 8*f**4 + 44*f**3 + 68*f**2 + 24*f.
4*f*(f + 2)*(f + 3)*(2*f + 1)
Let u**4 + 32*u**3 + 181*u**2 - 282*u - 432 = 0. Calculate u.
-24, -9, -1, 2
Factor 4*g**2 - 276*g + 1280.
4*(g - 64)*(g - 5)
Factor 3*i**4 - 4245*i**3 + 1508022*i**2 - 4494396*i + 2990616.
3*(i - 706)**2*(i - 2)*(i - 1)
Factor -14*a**5/3 + 128*a**4/3 + 40*a**3.
-2*a**3*(a - 10)*(7*a + 6)/3
What is f in -15*f**5/2 - 39*f**4 + 60*f**3 + 312*f**2 - 120*f - 624 = 0?
-26/5, -2, 2
Determine n so that -3*n**2 - 1575*n = 0.
-525, 0
Find g such that -2*g**2/3 + 80*g - 238/3 = 0.
1, 119
Factor s**3/7 + 148*s**2/7 + 293*s/7 + 146/7.
(s + 1)**2*(s + 146)/7
Determine m so that 6*m**3 + 544*m**2 + 1418*m + 880 = 0.
-88, -5/3, -1
Factor d**3 + 29*d**2 + 126*d + 144.
(d + 2)*(d + 3)*(d + 24)
Factor 2*x**2/7 + 2*x.
2*x*(x + 7)/7
Suppose -d**5/4 - 13*d**4/2 - 193*d**3/4 - 78*d**2 - 36*d = 0. Calculate d.
-12, -1, 0
Suppose -2*t**3/7 - 656*t**2/7 - 50362*t/7 + 571220/7 = 0. Calculate t.
-169, 10
Find j, given that -4*j**2 + 472*j - 13924 = 0.
59
Factor q**3 + 75*q**2 - 232*q + 156.
(q - 2)*(q - 1)*(q + 78)
Factor 2*p**2/3 - 38*p + 220/3.
2*(p - 55)*(p - 2)/3
Find l, given that -20*l**2 + 15*l + 35 = 0.
-1, 7/4
Factor x**3 + 34*x**2 + 4