*(q - 1)*(q + 46)
Factor -24*l**3 - 412*l**2 + 364*l + 72.
-4*(l - 1)*(l + 18)*(6*l + 1)
Factor -m**2/5 + 13*m/5 - 22/5.
-(m - 11)*(m - 2)/5
Find q, given that 5*q**4 + 65*q**3 + 10*q**2 - 980*q + 1320 = 0.
-11, -6, 2
Suppose r**3/6 - 7*r**2/3 - r/6 + 7/3 = 0. What is r?
-1, 1, 14
Suppose 2*z**3 - 36*z**2 - 2*z + 36 = 0. Calculate z.
-1, 1, 18
What is s in 2*s**2/7 - 72*s/7 - 74/7 = 0?
-1, 37
What is t in t**2/5 - 53*t/5 + 114 = 0?
15, 38
Factor r**2/6 + 61*r/6 - 31/3.
(r - 1)*(r + 62)/6
Factor -z**4/7 - 12*z**3/7 - 51*z**2/7 - 92*z/7 - 60/7.
-(z + 2)**2*(z + 3)*(z + 5)/7
Factor -2*p**2/5 + 34*p/5.
-2*p*(p - 17)/5
Suppose -f**2/3 + 646*f/3 + 649 = 0. Calculate f.
-3, 649
Determine l, given that -5*l**5 - 20*l**4 + 25*l**3 + 100*l**2 - 20*l - 80 = 0.
-4, -2, -1, 1, 2
Factor -o**4/2 - 3*o**3/2 + 5*o**2/2 + 3*o/2 - 2.
-(o - 1)**2*(o + 1)*(o + 4)/2
Suppose -a**2/3 + 4*a/3 - 1 = 0. What is a?
1, 3
Factor 21*p**5/2 - 129*p**4/2 + 207*p**3/2 - 27*p**2/2.
3*p**2*(p - 3)**2*(7*p - 1)/2
Find w, given that 9*w**5/2 - 267*w**4/2 - 207*w**3 + 657*w**2 - 363*w/2 - 279/2 = 0.
-3, -1/3, 1, 31
Suppose -4*a**4 - 89*a**3 - 506*a**2 - 121*a = 0. Calculate a.
-11, -1/4, 0
Solve x**5/4 - 3*x**4/4 - 13*x**3/4 + 7*x**2/4 + 9*x + 5 = 0.
-2, -1, 2, 5
Suppose -5*w**3 + 10*w**2 + 215*w + 200 = 0. Calculate w.
-5, -1, 8
Factor 3*o**2/4 - 12*o + 165/4.
3*(o - 11)*(o - 5)/4
What is r in 4*r**4 + 6208*r**3 - 4*r**2 - 6208*r = 0?
-1552, -1, 0, 1
Factor 47*j**3/5 - 378*j**2/5 + 16*j/5.
j*(j - 8)*(47*j - 2)/5
Determine m, given that m**2/3 - 18*m = 0.
0, 54
Find k such that -k**2 - 24*k - 44 = 0.
-22, -2
Suppose -2*b**5/3 - 8*b**4/3 + 6*b**3 + 32*b**2/3 - 40*b/3 = 0. What is b?
-5, -2, 0, 1, 2
Determine d, given that d**5/3 - 6*d**4 + 95*d**3/3 - 110*d**2/3 - 32*d + 128/3 = 0.
-1, 1, 2, 8
Factor -4*v**5 - 24*v**4 + 64*v**3 + 512*v**2 - 2048.
-4*(v - 4)*(v - 2)*(v + 4)**3
Suppose 3*q**2 + 1884*q + 295788 = 0. Calculate q.
-314
Suppose -8*b**4 + 1432*b**3 - 64794*b**2 + 63724*b - 15842 = 0. Calculate b.
1/2, 89
Let 2*k**2 - 10*k = 0. What is k?
0, 5
Factor 2*l**3/9 - 22*l**2/3 + 64*l - 512/9.
2*(l - 16)**2*(l - 1)/9
Factor 14*y**3/9 + 178*y**2/9 + 352*y/9 - 544/9.
2*(y - 1)*(y + 4)*(7*y + 68)/9
What is l in -2*l**3/5 + 4*l**2/5 + 2*l/5 - 4/5 = 0?
-1, 1, 2
Factor -p**3 - 2817*p**2.
-p**2*(p + 2817)
Factor -z**3/5 - 24*z**2/5 + 657*z/5 + 136.
-(z - 17)*(z + 1)*(z + 40)/5
Let d**4/7 + 4*d**3/7 + 2*d**2/7 - 4*d/7 - 3/7 = 0. Calculate d.
-3, -1, 1
Factor -z**4 - 949*z**3.
-z**3*(z + 949)
Factor 3*a**3 + 20184*a**2 + 33929295*a - 67939350.
3*(a - 2)*(a + 3365)**2
Find y such that 2*y**2/5 - 18*y - 92/5 = 0.
-1, 46
Factor -140*y**3 + 835*y**2 - 1230*y - 45.
-5*(y - 3)**2*(28*y + 1)
Determine r so that r**3/3 - 19*r**2/3 + 26*r = 0.
0, 6, 13
Factor 4*z**2 + 48*z + 128.
4*(z + 4)*(z + 8)
Find i, given that 3*i**3 - 132*i**2 - 2289*i - 8526 = 0.
-7, 58
Determine u, given that -2*u**5/3 + 10*u**4/3 + 4*u**3/3 - 56*u**2/3 + 16*u/3 + 64/3 = 0.
-2, -1, 2, 4
Factor -3*t**3 + 2484*t**2 + 3*t - 2484.
-3*(t - 828)*(t - 1)*(t + 1)
Find p such that -7*p**3 - 9*p**2 - 2*p = 0.
-1, -2/7, 0
Solve -3*k**5/2 + 411*k**4/4 + 111*k**3/2 - 1041*k**2/4 + 207*k/2 = 0.
-2, 0, 1/2, 1, 69
Let -162*o**5 + 90*o**4 + 371*o**3/2 + 62*o**2 + 6*o = 0. Calculate o.
-1/2, -2/9, 0, 3/2
Factor f**5/4 - 5*f**4/4 - f**3/4 + 5*f**2/4.
f**2*(f - 5)*(f - 1)*(f + 1)/4
Solve -2*r**4/13 - 18*r**3/13 - 34*r**2/13 + 66*r/13 + 180/13 = 0.
-5, -3, 2
Factor s**4/3 - 4*s**3/3 + s**2.
s**2*(s - 3)*(s - 1)/3
Solve -75*v**2 - 60*v + 36 = 0 for v.
-6/5, 2/5
Let -148*i**5 - 288*i**4 + 608*i**3 + 264*i**2 - 460*i + 24 = 0. Calculate i.
-3, -1, 2/37, 1
Find b, given that 2*b**3/7 + 18*b**2/7 + 48*b/7 + 40/7 = 0.
-5, -2
Determine l, given that 213*l**2/2 + 111*l + 9/2 = 0.
-1, -3/71
Solve 3*q**3/8 + 9*q**2/8 - 3*q/8 - 9/8 = 0.
-3, -1, 1
Factor 90*y**4 - 364*y**3 + 376*y**2 - 16*y.
2*y*(y - 2)**2*(45*y - 2)
Factor 4*y**3 - 636*y**2 + 33708*y - 595508.
4*(y - 53)**3
Let 4*s**2 + 36*s - 40 = 0. What is s?
-10, 1
Factor -178*b**2/5 + 180*b - 10.
-2*(b - 5)*(89*b - 5)/5
Factor 5*u**3 - 450*u**2 - 5*u + 450.
5*(u - 90)*(u - 1)*(u + 1)
Let p**5/6 - 73*p**4/6 + 337*p**3/6 + 221*p**2/6 - 583*p/3 + 340/3 = 0. Calculate p.
-2, 1, 5, 68
Suppose 10*j**5 - 11*j**4 - 149*j**3 - 215*j**2 - 77*j + 10 = 0. What is j?
-2, -1, 1/10, 5
Factor i**5/2 + 4*i**4 + 17*i**3/2 + 5*i**2.
i**2*(i + 1)*(i + 2)*(i + 5)/2
Factor 2*x**4/9 - 2*x**3/9 - 4*x**2/3 + 8*x/9 + 16/9.
2*(x - 2)**2*(x + 1)*(x + 2)/9
Factor -401*x**2/4 + 200*x + 1.
-(x - 2)*(401*x + 2)/4
Let 2*l**4 - 2198*l**3 - 4402*l**2 - 2202*l = 0. What is l?
-1, 0, 1101
Find b, given that 3*b**4 - 54*b**3 + 351*b**2 - 972*b + 972 = 0.
3, 6
Factor -17*n**3/2 + 49*n**2/2 + 37*n + 4.
-(n - 4)*(n + 1)*(17*n + 2)/2
Determine d so that d**4 - 14*d**3 + 69*d**2 - 136*d + 80 = 0.
1, 4, 5
Factor 5*g**3/3 + 385*g**2 + 21645*g - 68445.
5*(g - 3)*(g + 117)**2/3
Solve 4*y**2/3 + 8*y/3 + 4/3 = 0 for y.
-1
Factor 3*k**3 - 399*k**2 - 2478*k - 3336.
3*(k - 139)*(k + 2)*(k + 4)
Factor -2*a**3 + 2308*a**2 - 4608*a.
-2*a*(a - 1152)*(a - 2)
Find h such that -5*h**4 + 55*h**3 - 190*h**2 + 260*h - 120 = 0.
1, 2, 6
Solve 4*z**5 + 164*z**4 - 700*z**3 + 892*z**2 - 360*z = 0.
-45, 0, 1, 2
Factor -l**3 - l**2 + 735*l/4 - 900.
-(l + 16)*(2*l - 15)**2/4
What is t in -2*t**3/15 - 8*t**2/5 + 2*t/15 + 8/5 = 0?
-12, -1, 1
Factor 3*c**5 + 66*c**4 + 432*c**3 + 384*c**2 - 3072*c.
3*c*(c - 2)*(c + 8)**3
Factor 4*x**2 - 936*x.
4*x*(x - 234)
Suppose -2*t**3/13 + 20*t**2/13 - 34*t/13 - 56/13 = 0. What is t?
-1, 4, 7
What is u in u**3/5 + u**2 + 2*u/5 - 8/5 = 0?
-4, -2, 1
Let -2*w**3 + 24*w**2 - 42*w - 196 = 0. Calculate w.
-2, 7
Factor -4*p**5 + 40*p**4 - 136*p**3 + 208*p**2 - 148*p + 40.
-4*(p - 5)*(p - 2)*(p - 1)**3
Factor 3*q**3/7 - 30*q**2/7 - 111*q/7 - 78/7.
3*(q - 13)*(q + 1)*(q + 2)/7
Find t such that -160*t**4 - 368*t**3 - 90*t**2 + 14*t + 4 = 0.
-2, -1/4, 1/5
Find a such that -a**4/4 + 5*a**3/4 + 5*a**2/2 - 5*a - 6 = 0.
-2, -1, 2, 6
Suppose 15*w**4 + 57*w**3 + 63*w**2 + 15*w - 6 = 0. What is w?
-2, -1, 1/5
Factor 12*d**5 - 3*d**4 - 72*d**3 + 114*d**2 - 60*d + 9.
3*(d - 1)**3*(d + 3)*(4*d - 1)
Find a, given that 3*a**5/4 + 3*a**4 - 21*a**3/4 - 15*a**2/2 = 0.
-5, -1, 0, 2
Factor -3*x**3 + 39*x**2 - 69*x + 33.
-3*(x - 11)*(x - 1)**2
Factor -4*j**4 + 80*j**3 - 268*j**2 + 192*j.
-4*j*(j - 16)*(j - 3)*(j - 1)
Solve -2*m**3/7 + 90*m**2/7 - 48*m + 328/7 = 0 for m.
2, 41
Determine n, given that 4*n**4/3 + 344*n**3/3 + 320*n**2/3 - 1688*n/3 + 340 = 0.
-85, -3, 1
Factor -4*z**5 - 36*z**4 + 88*z**3 - 8*z**2 - 84*z + 44.
-4*(z - 1)**3*(z + 1)*(z + 11)
Suppose -4*p**4 + 8*p**3 + 12*p**2 - 32*p + 16 = 0. What is p?
-2, 1, 2
Factor t**5/9 + 2*t**4/9 - 11*t**3/9 - 4*t**2/3.
t**2*(t - 3)*(t + 1)*(t + 4)/9
Factor s**5/3 + s**4/9 - 10*s**3/9 - 2*s**2/3 + 7*s/9 + 5/9.
(s - 1)*(s + 1)**3*(3*s - 5)/9
Solve d**2/3 - 178*d + 23763 = 0.
267
Solve l**2/3 + 43*l - 130/3 = 0.
-130, 1
Factor 5*f**3 + 15*f**2 - 80*f - 240.
5*(f - 4)*(f + 3)*(f + 4)
Find n, given that 2*n**3/11 - 36*n**2/11 + 138*n/11 - 104/11 = 0.
1, 4, 13
Factor 3*w**2/4 - 390*w.
3*w*(w - 520)/4
Solve 4*u**2 + 20*u - 96 = 0 for u.
-8, 3
Find q, given that 4*q**5 + 84*q**4 + 552*q**3 + 1192*q**2 + 1044*q + 324 = 0.
-9, -1
Factor 9*y**4 - 6*y**3 - 48*y**2 - 42*y - 9.
3*(y - 3)*(y + 1)**2*(3*y + 1)
Suppose -2*g**2/5 + 44*g - 1210 = 0. Calculate g.
55
Suppose -2*u**2/5 + 68*u/5 + 78 = 0. What is u?
-5, 39
Determine q, given that 2*q**2 - 136*q + 2312 = 0.
34
Factor -t**4 + 4*t**3 + 77*t**2.
-t**2*(t - 11)*(t + 7)
Find p such that 3*p**4/2 - 33*p**3/2 + 6*p**2 + 90*p = 0.
-2, 0, 3, 10
Let -4*d**5 - 181*d**4 - 42*d**3 + 135*d**2 = 0. Calculate d.
-45, -1, 0, 3/4
Factor -4*c**4 - 64*c**3 - 296*c**2 - 416*c - 180.
-4*(c + 1)**2*(c + 5)*(c + 9)
Determine c so that -c**4 - 9*c**3 + 22*c**2 = 0.
-11, 0, 2
Suppose 2*a**3 - 402*a**2 + 20400*a - 20000 = 0. What is a?
1, 100
Solve o**2/3 - 1318*o/3 + 434281/3 = 0 for o.
659
Solve -2*c**3 - 8*c**2 + 2*c + 8 = 0.
-4, -1, 1
Find c such that -c**2 + 16 = 0.
-4, 4
Factor -r**5/2 + 7*r**4 + 31*r**3/2 + 8*r**2.
-r**2*(r - 16)*(r + 1)**2/2
What is p in 3*p**4 - 333*p**3 + 11583*p**2 - 95823*p - 1067742 = 0?
-6, 39
Suppose 2*v**5/9 - 130*v**3/9 + 128*v/9 = 0. Calculate v.
-8, -1,