a**3/5 + 12*a**2/5 - 36*a/5 = 0.
-6, -1, 0, 1, 2
What is q in -4*q**2 - 496*q + 2580 = 0?
-129, 5
What is u in -4*u**2/7 + 16*u/7 - 16/7 = 0?
2
Let 3*j**2 - 51*j = 0. Calculate j.
0, 17
Suppose p**3/6 - 35*p**2/6 + 179*p/6 - 145/6 = 0. Calculate p.
1, 5, 29
Find s, given that -9*s**4 - 66*s**3 - 87*s**2 + 66*s + 96 = 0.
-16/3, -2, -1, 1
Solve 5*o**4 + 15*o**3 - 125*o**2 - 375*o = 0.
-5, -3, 0, 5
Factor -4*k**2/3 + 56*k/3 - 32.
-4*(k - 12)*(k - 2)/3
Find d such that -d**5 + 36*d**4 - 160*d**3 + 150*d**2 + 161*d - 186 = 0.
-1, 1, 2, 3, 31
Factor -j**2/7 + 2907*j/7 - 2906/7.
-(j - 2906)*(j - 1)/7
Factor -b**2/5 - 34*b/5 - 253/5.
-(b + 11)*(b + 23)/5
Factor 7*i**2/3 + 16*i/3 - 16.
(i + 4)*(7*i - 12)/3
Suppose 4*y**4 - 1136*y**3 + 75984*y**2 + 663424*y + 1364224 = 0. Calculate y.
-4, 146
Factor 4*d**4 - 616*d**3 + 6368*d**2 - 10904*d + 5148.
4*(d - 143)*(d - 9)*(d - 1)**2
Find n such that -n**4/3 + 7*n**2/3 + 2*n = 0.
-2, -1, 0, 3
Solve 2*t**2 + 1846*t - 1848 = 0.
-924, 1
What is u in -u**4 + 174*u**3 = 0?
0, 174
Factor l**3/7 - 11*l**2/7 - 12*l/7.
l*(l - 12)*(l + 1)/7
Factor -5*y**5 + 30*y**4 - 70*y**3 + 80*y**2 - 45*y + 10.
-5*(y - 2)*(y - 1)**4
Factor 3*v**3/8 + 615*v**2/8 - 312*v + 627/2.
3*(v - 2)**2*(v + 209)/8
Let 3*i**5/8 + 15*i**4/8 - 9*i**3/8 - 51*i**2/8 - 15*i/4 = 0. What is i?
-5, -1, 0, 2
Factor 7*d**4/6 + 47*d**3/6 - 70*d**2/3 + 6*d.
d*(d - 2)*(d + 9)*(7*d - 2)/6
Factor -2*m**2/3 - 6*m - 12.
-2*(m + 3)*(m + 6)/3
Let 4*d**5 + 488*d**4 + 1428*d**3 - 16*d**2 - 1904*d = 0. What is d?
-119, -2, 0, 1
Determine v, given that v**5 + 10*v**4 + 7*v**3 - 18*v**2 = 0.
-9, -2, 0, 1
Factor w**2/2 - 943*w/2 + 941.
(w - 941)*(w - 2)/2
What is m in m**4/3 - 7*m**3 - 82*m**2 - 704*m/3 - 160 = 0?
-4, -1, 30
Determine j so that j**2/4 + 13*j/2 + 165/4 = 0.
-15, -11
Solve 3*u**4 + 45*u**3 + 171*u**2 - 105*u - 882 = 0 for u.
-7, -3, 2
Solve -40*b**5 + 196*b**4 + 60*b**3 - 196*b**2 - 20*b = 0.
-1, -1/10, 0, 1, 5
Let -3*w**5/4 + 51*w**4/2 - 24*w**3 - 51*w**2/2 + 99*w/4 = 0. Calculate w.
-1, 0, 1, 33
Solve m**4/2 + 79*m**3/2 - 348*m**2 = 0.
-87, 0, 8
Find n such that -n**5/2 + 2*n**4 - 3*n**3/2 = 0.
0, 1, 3
Determine o, given that 2*o**4/5 + 3*o**3/5 - 8*o**2/5 + 3*o/5 = 0.
-3, 0, 1/2, 1
Suppose 2*v**4/3 + 26*v**3/3 + 16*v**2/3 - 104*v/3 - 32 = 0. Calculate v.
-12, -2, -1, 2
Let -4*d**4 - 70*d**3 - 354*d**2 - 416*d - 128 = 0. What is d?
-8, -1, -1/2
Let b**3/6 + 17*b**2/6 + 13*b/3 - 220/3 = 0. What is b?
-11, -10, 4
What is l in 2*l**4/3 - 22*l**3 - 280*l**2 + 48800*l/3 - 144000 = 0?
-27, 20
Determine l so that -2*l**4/11 + 28*l**3/11 + 32*l**2/11 - 28*l/11 - 30/11 = 0.
-1, 1, 15
Factor 2*s**4 - 120*s**3 - 254*s**2 + 372*s.
2*s*(s - 62)*(s - 1)*(s + 3)
Factor p**5 + 270*p**4 + 17953*p**3 - 36720*p**2 + 18496*p.
p*(p - 1)**2*(p + 136)**2
Let 2*j**5 + 36*j**4/5 + 14*j**3/5 - 52*j**2/5 - 24*j/5 + 16/5 = 0. What is j?
-2, -1, 2/5, 1
Factor -3*n**2 + 18*n + 48.
-3*(n - 8)*(n + 2)
Solve 2*m**3/3 + 14*m**2/3 + 22*m/3 + 10/3 = 0 for m.
-5, -1
Solve s**4/4 + 2*s**3 - 6*s**2 - 8*s + 20 = 0.
-10, -2, 2
Factor -2*m**3/5 - 22*m**2/5 + 2*m/5 + 22/5.
-2*(m - 1)*(m + 1)*(m + 11)/5
Find z, given that -2*z**2 - 384*z + 1568 = 0.
-196, 4
Determine w so that 55*w**3/4 - 115*w**2/4 + 65*w/4 - 5/4 = 0.
1/11, 1
Let 5*z**5 - 45*z**4 + 145*z**3 - 195*z**2 + 90*z = 0. Calculate z.
0, 1, 2, 3
Factor -3*g**2 - 15*g + 72.
-3*(g - 3)*(g + 8)
Factor 2*k**3/3 - 476*k**2 + 5640*k - 16848.
2*(k - 702)*(k - 6)**2/3
Factor 5*n**4/3 - 55*n**2/3 - 30*n - 40/3.
5*(n - 4)*(n + 1)**2*(n + 2)/3
Find b, given that 3*b**3 - 111*b**2 - 120*b + 228 = 0.
-2, 1, 38
Factor -m**2/4 + 71*m/4 + 18.
-(m - 72)*(m + 1)/4
Factor 5*u**3 - 35*u**2 - 5*u + 35.
5*(u - 7)*(u - 1)*(u + 1)
Factor -3*p**2 - 35*p - 88.
-(p + 8)*(3*p + 11)
Determine z so that 2*z**5/5 - 2*z**4 - 144*z**3/5 - 296*z**2/5 + 64*z/5 + 384/5 = 0.
-4, -2, 1, 12
Factor t**5 + 11*t**4 + 33*t**3 + 37*t**2 + 14*t.
t*(t + 1)**2*(t + 2)*(t + 7)
Factor 2*u**5/25 + 236*u**4/25 + 6962*u**3/25.
2*u**3*(u + 59)**2/25
Factor 2*a**3/11 + 82*a**2/11 - 96*a/11 - 504/11.
2*(a - 3)*(a + 2)*(a + 42)/11
Factor c**4/3 - 7*c**3/3 + 2*c**2.
c**2*(c - 6)*(c - 1)/3
Factor 4*f**3 - 56*f**2 - 220*f + 3872.
4*(f - 11)**2*(f + 8)
Let x**3 - 42*x**2 + 119*x - 78 = 0. What is x?
1, 2, 39
What is m in -2*m**4/21 - 22*m**3/21 - 20*m**2/21 + 48*m/7 = 0?
-9, -4, 0, 2
Factor 5*r**4 - 45*r**2.
5*r**2*(r - 3)*(r + 3)
Factor -v**3/6 - 41*v**2/2 + v/6 + 41/2.
-(v - 1)*(v + 1)*(v + 123)/6
Factor -n**2/6 + 5*n/3 - 25/6.
-(n - 5)**2/6
Suppose 2*t**3 - 20*t**2 + 48*t = 0. Calculate t.
0, 4, 6
Solve 6*r**2/7 - 2*r - 12/7 = 0.
-2/3, 3
Suppose -o**5/4 - 461*o**4/4 - 919*o**3/4 - 459*o**2/4 = 0. What is o?
-459, -1, 0
Suppose a**2/12 - 41*a/12 + 10/3 = 0. What is a?
1, 40
Find w, given that -w**2 - 1094*w - 299209 = 0.
-547
Let 4*f**2/3 + 112*f + 332/3 = 0. Calculate f.
-83, -1
Factor 2*n**4/9 + 58*n**3/9 + 110*n**2/9 + 6*n.
2*n*(n + 1)**2*(n + 27)/9
Factor 3*u**3 - 48*u**2 - 69*u + 306.
3*(u - 17)*(u - 2)*(u + 3)
Determine w, given that -21*w**5/4 + 99*w**4/4 + 555*w**3/4 - 2475*w**2/4 - 375*w/2 = 0.
-5, -2/7, 0, 5
Factor 2*u**4/9 - 28*u**3/9 + 38*u**2/3 - 80*u/9 - 224/9.
2*(u - 7)*(u - 4)**2*(u + 1)/9
Factor 3*f**2 - 102*f + 867.
3*(f - 17)**2
Find r such that 2*r**2/7 - 8*r/7 - 24/7 = 0.
-2, 6
Factor -g**4/6 - 7*g**3/6 - g**2.
-g**2*(g + 1)*(g + 6)/6
Suppose 2*q**4 + 32*q**3 - 160*q**2 = 0. What is q?
-20, 0, 4
Let 2*y**4/13 - 4*y**3/13 - 24*y**2/13 - 28*y/13 - 10/13 = 0. What is y?
-1, 5
Solve -2*a**5/9 - 10*a**4/9 + 2*a**3/9 + 34*a**2/9 - 8*a/3 = 0 for a.
-4, -3, 0, 1
Determine j so that 2*j**5/5 - 106*j**4/5 + 2118*j**3/5 - 19558*j**2/5 + 79376*j/5 - 95832/5 = 0.
2, 11, 18
Factor 2*l**2 + 3748*l/9 + 832/9.
2*(l + 208)*(9*l + 2)/9
Suppose r**2 - 236*r + 13924 = 0. Calculate r.
118
Factor w**3/3 + 23*w**2 + 200*w/3 + 44.
(w + 1)*(w + 2)*(w + 66)/3
Determine f so that 2*f**4 + 6*f**3 - 16*f**2 - 24*f + 32 = 0.
-4, -2, 1, 2
Factor -2*b**4/3 + 4*b**3 + 14*b**2/3.
-2*b**2*(b - 7)*(b + 1)/3
Factor 2*g**2/9 - 8/9.
2*(g - 2)*(g + 2)/9
Let -n**5/4 + 5*n**4/2 - 21*n**3/4 - 9*n**2 + 27*n = 0. Calculate n.
-2, 0, 3, 6
Factor 5*a**4 - 15*a**3 + 20*a.
5*a*(a - 2)**2*(a + 1)
Solve -3*c**5/4 + 111*c**4/2 + 1401*c**3/4 - 50949*c**2 - 632043*c = 0.
-17, 0, 54
Solve o**2/2 + 448*o + 100352 = 0 for o.
-448
Solve 2*x**2/3 + 4*x = 0.
-6, 0
Suppose 2*g**4/5 + 4*g**3/5 - 58*g**2/5 + 84*g/5 = 0. What is g?
-7, 0, 2, 3
Factor 4*d**3 - 49892*d**2 + 155550780*d + 155600676.
4*(d - 6237)**2*(d + 1)
Factor 9*g**5 + 24*g**4 + 12*g**3.
3*g**3*(g + 2)*(3*g + 2)
Determine r so that 3*r**5 - 162*r**4 - 6*r**3 + 324*r**2 + 3*r - 162 = 0.
-1, 1, 54
Factor u**3/3 - 3*u**2 - 4*u + 20/3.
(u - 10)*(u - 1)*(u + 2)/3
Suppose -2*k**3/3 - 4*k**2/3 + 70*k/3 = 0. What is k?
-7, 0, 5
Determine r so that -r**2/3 - 428*r/3 - 45796/3 = 0.
-214
Factor d**3 + 97*d**2 + 284*d + 188.
(d + 1)*(d + 2)*(d + 94)
Factor -6*d**4/11 + 1116*d**3/11 - 55134*d**2/11 + 301320*d/11 - 437400/11.
-6*(d - 90)**2*(d - 3)**2/11
Factor 4*s**4 - 132*s**3 - 136*s**2.
4*s**2*(s - 34)*(s + 1)
Suppose 40*b**3/13 + 266*b**2/13 + 160*b/13 + 24/13 = 0. Calculate b.
-6, -2/5, -1/4
Let 12*v**3 + 280*v**2 - 192*v = 0. Calculate v.
-24, 0, 2/3
Suppose 36*f**2 - 584*f + 128 = 0. Calculate f.
2/9, 16
Factor 3*o**2 + 2868*o + 685452.
3*(o + 478)**2
Let -3*j**2 + 90*j - 312 = 0. Calculate j.
4, 26
Factor -n**4/8 + 7*n**3/8 + 17*n**2/8 + 9*n/8.
-n*(n - 9)*(n + 1)**2/8
Determine b so that 5*b**2 + 780*b + 3040 = 0.
-152, -4
Let 2*x**4/7 + 6*x**3/7 - 36*x**2/7 + 8*x/7 + 48/7 = 0. Calculate x.
-6, -1, 2
Factor 4*g**2 - 28*g - 120.
4*(g - 10)*(g + 3)
Find m such that -2*m**2/15 + 106*m/15 - 32 = 0.
5, 48
Solve -4*b**5/3 - 32*b**4/3 - 16*b**3 + 128*b**2/3 + 256*b/3 = 0 for b.
-4, -2, 0, 2
Suppose -42632*m**2/19 - 584*m/19 - 2/19 = 0. Calculate m.
-1/146
Let 2*t**4/9 - 28*t**3/9 + 98*t**2/9 - 8*t = 0. What is t?
0, 1, 4, 9
Factor -36*y**3/5 - 5088*y**2/5 + 3404*y/5 - 568/5.
-4*(y + 142)*(3*y - 1)**2/5
Suppose -s**4 + 6*s**3 + 8*s**2 - 6*s - 7 = 0. Calculate s.
-1, 1, 7
Let 2*c**4/11 + 60*c**3/11 + 522*c**2/11 + 728*c/11 - 4056/11 = 0. What is c?
-13, -6, 2
What is s in s**2/3 - 55*s/3 - 38 = 0?
-2, 57
Factor -5*x**2 + 1350*x + 4095.
-5*(x - 273)*(x + 3)
Factor -5*n**2 - 920*n.
