 is m in -16*m**5/15 + 26*m**4/15 + 2*m**3/5 - 26*m**2/15 + 2*m/3 = 0?
-1, 0, 5/8, 1
Factor -p**3/4 + p**2 + 15*p/4 - 9/2.
-(p - 6)*(p - 1)*(p + 3)/4
Find c such that 2*c**2/13 + 566*c/13 + 564/13 = 0.
-282, -1
Let -6*d**3/7 + 96*d**2/7 - 510*d/7 + 900/7 = 0. What is d?
5, 6
Factor 3*s**3/4 + 33*s**2/4 + 39*s/2 + 12.
3*(s + 1)*(s + 2)*(s + 8)/4
Suppose -4*d**2 - 616*d - 23716 = 0. Calculate d.
-77
Factor -t**2/2 - 42*t.
-t*(t + 84)/2
Factor -2*s**3/5 - 178*s**2/5 - 70*s - 174/5.
-2*(s + 1)**2*(s + 87)/5
Factor 4*o**4 + 20*o**3 - 28*o**2 - 20*o + 24.
4*(o - 1)**2*(o + 1)*(o + 6)
Factor -y**4/2 - 435*y**3 - 188353*y**2/2 + 189660*y - 95048.
-(y - 1)**2*(y + 436)**2/2
Factor j**2/2 + 3*j/2.
j*(j + 3)/2
Factor 2*l**4 + 96*l**3 + 1472*l**2 + 7680*l + 12800.
2*(l + 4)**2*(l + 20)**2
What is l in -l**3 + 11*l**2 - 39*l + 45 = 0?
3, 5
Factor -p**4/2 + 29*p**3/2 + p**2/2 - 29*p/2.
-p*(p - 29)*(p - 1)*(p + 1)/2
Find y, given that 5*y**2 + 45*y - 180 = 0.
-12, 3
Factor f**2/4 + 16*f + 999/4.
(f + 27)*(f + 37)/4
Determine q, given that -q**5/7 - 4*q**4/7 + 10*q**3/7 + 64*q**2/7 + 87*q/7 + 36/7 = 0.
-3, -1, 4
Find g such that -3*g**3 - 2007*g**2 - 447561*g - 33268701 = 0.
-223
Factor 4*a**3 + 163*a**2 - 209*a + 42.
(a - 1)*(a + 42)*(4*a - 1)
Let -w**2 + 112*w - 3136 = 0. What is w?
56
Factor -4*g**5 - 20*g**4 - 36*g**3 - 28*g**2 - 8*g.
-4*g*(g + 1)**3*(g + 2)
Find l such that l**3/6 - 2*l**2 + 17*l/6 + 5 = 0.
-1, 3, 10
Factor -h**3 - 9*h**2 - 14*h + 24.
-(h - 1)*(h + 4)*(h + 6)
Let 6*j**3/5 + 76*j**2/5 + 46*j/5 - 24/5 = 0. What is j?
-12, -1, 1/3
Determine p so that -2*p**4/3 - 382*p**3/3 + 2*p**2/3 + 382*p/3 = 0.
-191, -1, 0, 1
Solve i**5/5 + 63*i**4/5 + 1083*i**3/5 + 2881*i**2/5 + 552*i + 180 = 0.
-30, -1
Solve 5*z**2 - 95*z - 210 = 0 for z.
-2, 21
Factor 32*z**2/9 - 76*z + 28.
4*(z - 21)*(8*z - 3)/9
Find v, given that -2*v**4/5 + 12*v**3/5 - 26*v**2/5 + 24*v/5 - 8/5 = 0.
1, 2
Factor q**4/5 - 1848*q**3/5 + 853776*q**2/5.
q**2*(q - 924)**2/5
Suppose o**4 - o**3 - 3*o**2 + o + 2 = 0. What is o?
-1, 1, 2
Factor -2*z**2/5 - 34*z/5 + 696/5.
-2*(z - 12)*(z + 29)/5
Find p such that -p**5/5 + 4*p**4/5 + 12*p**3/5 - 32*p**2/5 - 64*p/5 = 0.
-2, 0, 4
Find b, given that -2*b**3 + 150*b**2 - 3750*b + 31250 = 0.
25
What is w in -5*w**4 + 15*w**3 + 15*w**2 - 35*w - 30 = 0?
-1, 2, 3
Factor 15*n**2 - 50*n + 15.
5*(n - 3)*(3*n - 1)
Let -k**3/2 - 1143*k**2/2 - 435483*k/2 - 55306341/2 = 0. What is k?
-381
Factor 2*d**2/3 + 304*d/3 + 11552/3.
2*(d + 76)**2/3
Let -k**5/3 - 4*k**4 - 37*k**3/3 - 14*k**2 - 16*k/3 = 0. What is k?
-8, -2, -1, 0
Let -4*p**5 + 8*p**4 = 0. What is p?
0, 2
Determine a so that -2*a**4/13 + 276*a**3/13 - 262*a**2/13 - 1644*a/13 = 0.
-2, 0, 3, 137
Factor 2*o**2 - 696*o.
2*o*(o - 348)
Suppose 4*a**3/7 - 4*a**2/7 - 8*a/7 = 0. What is a?
-1, 0, 2
What is d in -3*d**5/4 + 75*d**4/4 - 249*d**3/2 + 72*d**2 + 216*d = 0?
-1, 0, 2, 12
Solve r**3/2 + 43*r**2/2 + 220*r - 242 = 0.
-22, 1
Determine x, given that -2*x**2/19 + 4*x - 38 = 0.
19
Factor 2*o**2/7 + 22*o/7 - 52/7.
2*(o - 2)*(o + 13)/7
Solve 3*r**3/8 - 3285*r**2/8 + 1199025*r/8 - 145881375/8 = 0 for r.
365
Find j, given that 22*j**2 - 228*j = 0.
0, 114/11
Find v, given that -5*v**4 + 410*v**3 + 5585*v**2 + 5170*v = 0.
-11, -1, 0, 94
Suppose 75*p**5 - 680*p**4 + 1635*p**3 - 1650*p**2 + 740*p - 120 = 0. Calculate p.
2/5, 2/3, 1, 6
What is o in 21*o**2 + 39*o - 6 = 0?
-2, 1/7
Suppose k**2/5 + 78*k/5 - 32 = 0. What is k?
-80, 2
Factor 4*t**5 + 40*t**4 + 92*t**3 + 56*t**2.
4*t**2*(t + 1)*(t + 2)*(t + 7)
Determine t so that -4*t**2 + 680*t + 1376 = 0.
-2, 172
Suppose 1764*u**4 - 1848*u**3 + 85*u**2 - u = 0. Calculate u.
0, 1/42, 1
Find k, given that 2*k**3 - 42*k**2 + 196*k = 0.
0, 7, 14
Determine g, given that -5*g**5/2 + 15*g**4 - 5*g**3 - 40*g**2 + 15*g/2 + 25 = 0.
-1, 1, 2, 5
Factor -d**4/5 - 2*d**3/5 + 3*d**2/5 + 8*d/5 + 4/5.
-(d - 2)*(d + 1)**2*(d + 2)/5
Factor -5*a**2/4 + 8055*a/2.
-5*a*(a - 3222)/4
Factor m**5/4 + 29*m**4/2 + 309*m**3/2 - 553*m**2 + 2333*m/4 - 399/2.
(m - 1)**3*(m + 19)*(m + 42)/4
Let 2*i**3/25 - 66*i**2/25 - 216*i/25 = 0. Calculate i.
-3, 0, 36
Factor -p**3/2 - 4*p**2 + p/2 + 4.
-(p - 1)*(p + 1)*(p + 8)/2
Suppose -z**4/2 + 19*z**3/2 - 37*z**2 + 28*z = 0. What is z?
0, 1, 4, 14
Find k, given that -4*k**4 + 124*k**3 - 1188*k**2 + 2420*k + 10648 = 0.
-2, 11
Find p such that -3*p**5/7 + 6*p**4/7 + 54*p**3/7 + 96*p**2/7 + 69*p/7 + 18/7 = 0.
-1, 6
Factor -3*w**4/7 + 39*w**3/7 - 132*w**2/7 + 96*w/7.
-3*w*(w - 8)*(w - 4)*(w - 1)/7
Factor -o**3 + 76*o**2 - 429*o + 630.
-(o - 70)*(o - 3)**2
Solve -2*t**4/9 - 14*t**3/3 - 262*t**2/9 - 154*t/3 = 0.
-11, -7, -3, 0
Factor 2*u**3/7 + 4884*u**2/7 - 2*u/7 - 4884/7.
2*(u - 1)*(u + 1)*(u + 2442)/7
Factor 79*m**2/5 - 159*m/5 + 2/5.
(m - 2)*(79*m - 1)/5
Suppose 5*s**4 - 15*s**3 - 45*s**2 + 115*s - 60 = 0. Calculate s.
-3, 1, 4
Solve -15*b**5 - 25*b**4 + 10*b**3 = 0.
-2, 0, 1/3
Determine n so that -n**3 - 18*n**2 + n + 18 = 0.
-18, -1, 1
Factor 4*r**2 + 452*r + 448.
4*(r + 1)*(r + 112)
Factor -5*n**3/2 + n**2 + 3*n/2.
-n*(n - 1)*(5*n + 3)/2
Find l such that -2*l**2/7 + 26*l/7 - 24/7 = 0.
1, 12
Let f**3/4 - 119*f**2/4 + 87*f = 0. What is f?
0, 3, 116
Factor -r**2 + 8*r/3 + 11/3.
-(r + 1)*(3*r - 11)/3
Determine y, given that -4*y**3/3 - 194*y**2/3 - 32*y = 0.
-48, -1/2, 0
Solve 10*g**5/7 + 174*g**4/7 + 958*g**3/7 + 1986*g**2/7 + 1552*g/7 + 360/7 = 0.
-9, -5, -2, -1, -2/5
Let -25*o**3 + 2540*o**2 - 66981*o + 124002 = 0. What is o?
2, 249/5
Factor -2*y**2/3 + 1214*y/3 + 1216/3.
-2*(y - 608)*(y + 1)/3
Solve 9*g**2 + g/4 = 0 for g.
-1/36, 0
Suppose 3*a**4 - 108*a**3 + 972*a**2 = 0. Calculate a.
0, 18
Solve -3*v**5/7 + 6*v**4/7 + 30*v**3/7 - 24*v**2/7 - 99*v/7 - 54/7 = 0.
-2, -1, 3
Factor -x**4 + 83*x**3 - 2220*x**2 + 18176*x + 20480.
-(x - 32)**2*(x - 20)*(x + 1)
Let -3*b**5/5 + 14*b**4 - 383*b**3/5 - 312*b**2/5 + 144*b/5 = 0. What is b?
-1, 0, 1/3, 12
Suppose -5*s**5 + 60*s**4 + 305*s**3 + 260*s**2 - 300*s - 320 = 0. What is s?
-2, -1, 1, 16
Suppose -4*y**2 - 12648*y - 9998244 = 0. Calculate y.
-1581
Factor -2*z**3/9 + 148*z**2/9 - 2798*z/9 + 884/3.
-2*(z - 39)*(z - 34)*(z - 1)/9
Factor -s**4/7 + 424*s**3/7 + 425*s**2/7.
-s**2*(s - 425)*(s + 1)/7
Let 15*b**3 - 21*b**2 - 24*b + 12 = 0. What is b?
-1, 2/5, 2
Determine t, given that -4*t**3/3 - 16*t**2/3 - 4*t = 0.
-3, -1, 0
Factor i**3/2 - 15*i**2 - i/2 + 15.
(i - 30)*(i - 1)*(i + 1)/2
Factor -x**3 + 8*x**2 - 7*x.
-x*(x - 7)*(x - 1)
Suppose -3*n**5/8 + 9*n**4/2 - 81*n**3/4 + 42*n**2 - 315*n/8 + 27/2 = 0. Calculate n.
1, 3, 4
What is z in z**3 + 3*z**2 - 9*z + 5 = 0?
-5, 1
Determine o, given that 4*o**5/3 - 92*o**3/3 - 88*o**2 - 272*o/3 - 32 = 0.
-2, -1, 6
Factor 3*b**3/7 - 15*b**2/7 - 99*b/7 - 81/7.
3*(b - 9)*(b + 1)*(b + 3)/7
Factor c**2 - 448*c + 892.
(c - 446)*(c - 2)
Let -5*h**2 + 200*h + 205 = 0. What is h?
-1, 41
Suppose 2*b**2 + 40*b + 72 = 0. Calculate b.
-18, -2
Suppose p**3 + 348*p**2 + 40368*p + 1560896 = 0. What is p?
-116
Find m such that -2*m**2/11 - 46*m/11 = 0.
-23, 0
Suppose -2*p**4 + 12*p**2 + 16*p + 6 = 0. Calculate p.
-1, 3
Factor -2*t**3 + 14*t**2 + 140*t + 208.
-2*(t - 13)*(t + 2)*(t + 4)
Determine f so that 51*f**5/8 + 96*f**4 - 639*f**3/2 + 1275*f**2/4 - 759*f/8 - 27/4 = 0.
-18, -1/17, 1
Factor 5*b**3 + 225*b**2 + 435*b + 215.
5*(b + 1)**2*(b + 43)
Factor 2*b**3 + 42*b**2 + 198*b + 270.
2*(b + 3)**2*(b + 15)
Factor 4*q**3 - 12*q**2 + 12*q - 4.
4*(q - 1)**3
Suppose 4*n**3/3 - 680*n**2/3 + 10476*n - 69984 = 0. What is n?
8, 81
Suppose -5*f**5 - 7*f**4 + 8*f**3 + 4*f**2 = 0. What is f?
-2, -2/5, 0, 1
Suppose -o**4/4 + 5*o**3/4 + o**2/4 - 17*o/4 - 3 = 0. Calculate o.
-1, 3, 4
Factor -l**2/4 + 41*l/4 - 87.
-(l - 29)*(l - 12)/4
Let -6*c**2/5 + 658*c/5 + 44 = 0. Calculate c.
-1/3, 110
Factor 2809*z**3 - 5724*z**2 + 213*z - 2.
(z - 2)*(53*z - 1)**2
Factor h**2/4 - 1.
(h - 2)*(h + 2)/4
Suppose -2*m**4/5 + 26*m**2/5 - 72/5 = 0. Calculate m.
-3, -2, 2, 3
Solve 4*d**5/3 - 4*d**4 - 79*d**3/3 + 188*d**2/3 + 80*d + 64/3 = 0.
-4, -1/2, 4
Suppose 3*k**2 - 456*k + 17328 = 0. Calculate k.
76
Solve 3*u**2/5 + 1686*u/5 + 1683/5 = 0.
-561, -1
Factor -5*i**3 - 12*i**2 - 4*i.
-i*(i + 2)*(5*i + 2)
Factor q**2/5 + 2042*q/5 + 1042441/5.
(q + 1021)**2/5
Factor 4*x**3/9 + 8*x**2/9.
4*x**2*(x + 2)/9
Solve 3*l**3 + 24*l