 54 = 0.
-1, 6, 15
Solve l**4/3 - 7*l**3/3 - 8*l**2/3 = 0 for l.
-1, 0, 8
Suppose -3*n**5/2 - 45*n**4/2 - 129*n**3/2 + 225*n**2/2 + 66*n - 90 = 0. Calculate n.
-10, -6, -1, 1
Find q such that -q**4/4 + 7*q**3/4 - 11*q**2/4 + 5*q/4 = 0.
0, 1, 5
What is h in -h**3/10 + 3*h**2/5 - 6*h/5 + 4/5 = 0?
2
Solve 105*q**4 + 620*q**3 + 780*q**2 - 80*q = 0 for q.
-4, -2, 0, 2/21
Let 16*h**5/3 - 4*h**4 - 20*h**3/3 + 4*h**2 + 4*h/3 = 0. What is h?
-1, -1/4, 0, 1
Factor -15*m**2 - 21774*m + 8712.
-3*(m + 1452)*(5*m - 2)
Factor 2*g**3 + 38*g**2 - 488*g + 448.
2*(g - 8)*(g - 1)*(g + 28)
Factor -2*o**3 + 226*o**2 + 232*o - 456.
-2*(o - 114)*(o - 1)*(o + 2)
Factor 2*v**2 + 12*v + 16.
2*(v + 2)*(v + 4)
Suppose -4*f**2/5 + 4524*f/5 + 4528/5 = 0. What is f?
-1, 1132
Find r such that -4*r**4 - 172*r**3 - 2088*r**2 - 5120*r - 3200 = 0.
-20, -2, -1
Find k, given that k**3 - 46*k**2 + 209*k - 164 = 0.
1, 4, 41
Suppose 3*y**2 + 270*y - 273 = 0. Calculate y.
-91, 1
Factor 5*t**3 + 30*t**2 + 55*t + 30.
5*(t + 1)*(t + 2)*(t + 3)
Factor 16*x**4 + 64*x**3 - 588*x**2 - 628*x - 160.
4*(x - 5)*(x + 8)*(2*x + 1)**2
Determine a so that -35*a**2/4 - 20*a - 45/4 = 0.
-9/7, -1
Determine m so that 2*m**4/3 + 6*m**3 + 31*m**2/2 + 34*m/3 + 5/2 = 0.
-5, -3, -1/2
Solve -3*z**5/5 + 33*z**4/5 - 93*z**3/5 - 57*z**2/5 + 312*z/5 + 48 = 0.
-1, 4, 5
Factor 2*y**4/3 - 40*y**3/3 + 34*y**2.
2*y**2*(y - 17)*(y - 3)/3
Solve -3*i**5 + 31*i**4 - 75*i**3 + 25*i**2 + 78*i - 56 = 0 for i.
-1, 1, 4/3, 2, 7
Let -b**5/4 - 7*b**4/4 + 9*b**3/4 + 67*b**2/4 + 4*b - 21 = 0. Calculate b.
-7, -2, 1, 3
Solve y**2/11 + 104*y/11 + 103/11 = 0.
-103, -1
Let 3*z**2/7 + 498*z/7 + 984/7 = 0. What is z?
-164, -2
Solve -3*v**3 + 6642*v**2 - 4901796*v + 1205841816 = 0.
738
Find s, given that 42*s**5 + 542*s**4 + 2090*s**3 + 2610*s**2 + 908*s - 112 = 0.
-7, -4, -1, 2/21
Suppose b**2 - 9*b + 14 = 0. What is b?
2, 7
Suppose 2*w**3 - 26*w**2 + 24*w = 0. What is w?
0, 1, 12
What is m in m**4/7 + 92*m**3/7 + 516*m**2/7 - 32*m/7 - 2752/7 = 0?
-86, -4, 2
Factor -2*z**4/21 + 2*z**3/21 + 2*z**2/21 - 2*z/21.
-2*z*(z - 1)**2*(z + 1)/21
Let -4*d**2 + 52*d - 48 = 0. Calculate d.
1, 12
Find v, given that 4*v**4 - 392*v**3 + 9200*v**2 + 20000*v = 0.
-2, 0, 50
Factor r**2/3 - 3*r + 6.
(r - 6)*(r - 3)/3
Let k**4 - 9*k**3 - 16*k**2 + 60*k = 0. What is k?
-3, 0, 2, 10
Suppose 4*f**3 + 12*f**2 + 8*f = 0. What is f?
-2, -1, 0
Solve -m**3/7 + 3*m**2/7 - 2*m/7 = 0 for m.
0, 1, 2
Factor u**5/4 - 20*u**4 + 839*u**3/2 - 780*u**2 + 1521*u/4.
u*(u - 39)**2*(u - 1)**2/4
Factor 4*t**4/3 + 4*t**3/3 - 148*t**2/3 + 140*t/3.
4*t*(t - 5)*(t - 1)*(t + 7)/3
Factor -r**5/8 - 3*r**4/4 - 3*r**3/2 - r**2.
-r**2*(r + 2)**3/8
Factor -5*h**3 - 120*h**2 - 115*h.
-5*h*(h + 1)*(h + 23)
Find k, given that 5*k**5 + 580*k**4 + 17915*k**3 + 62140*k**2 - 17920*k - 62720 = 0.
-56, -4, -1, 1
Factor 5*p**5 + 25*p**4 + 40*p**3 + 20*p**2.
5*p**2*(p + 1)*(p + 2)**2
Factor i**2 - 65*i + 1026.
(i - 38)*(i - 27)
Factor -4*w**3 - 100*w**2 + 1400*w.
-4*w*(w - 10)*(w + 35)
Factor 4*o**4 + 12*o**3 + 8*o**2.
4*o**2*(o + 1)*(o + 2)
Factor -300*z**2 + 299*z + 1.
-(z - 1)*(300*z + 1)
Solve -4*d**2 + 2768*d - 8268 = 0 for d.
3, 689
Solve -6*r**5/7 + 6*r**4 - 12*r**3 + 12*r**2/7 + 90*r/7 - 54/7 = 0 for r.
-1, 1, 3
Find r, given that -r**3/5 + 3*r**2/5 + 16*r/5 + 12/5 = 0.
-2, -1, 6
Determine h, given that -3*h**3/7 + 288*h**2/7 - 3132*h/7 + 1296 = 0.
6, 84
Solve 2*r**3 + 32*r**2 + 90*r - 324 = 0.
-9, 2
Let 3*m**5 + 96*m**4/7 + 102*m**3/7 - 27*m/7 = 0. What is m?
-3, -1, 0, 3/7
Factor 4*b**4 + 12*b**3 + 4*b**2 - 12*b - 8.
4*(b - 1)*(b + 1)**2*(b + 2)
Factor 15*k**2 + 1700*k + 565.
5*(k + 113)*(3*k + 1)
Let -v**2/3 + 3270*v - 8019675 = 0. Calculate v.
4905
What is t in -4*t**2 + 3264*t = 0?
0, 816
Factor 4*h**4 + 28*h**3 - 108*h**2 + 116*h - 40.
4*(h - 1)**3*(h + 10)
Solve 4*q**2/7 - 4*q + 24/7 = 0.
1, 6
Solve -q**5/8 - 3*q**4/4 - 5*q**3/4 + 11*q/8 + 3/4 = 0 for q.
-3, -2, -1, 1
Factor 2*z**5/3 + 60*z**4 + 3866*z**3/3 - 2760*z**2 + 4232*z/3.
2*z*(z - 1)**2*(z + 46)**2/3
Let 16*g**4 - 356*g**3 + 424*g**2 - 84*g = 0. Calculate g.
0, 1/4, 1, 21
Factor 3*z**2/4 - 33*z/2 + 54.
3*(z - 18)*(z - 4)/4
Factor -v**4/3 - 34*v**3/3 + 71*v**2/3 - 12*v.
-v*(v - 1)**2*(v + 36)/3
Let 2*p**2/3 - 152*p + 8664 = 0. Calculate p.
114
Factor -o**3/6 + 208*o**2/3 - 829*o/6 + 69.
-(o - 414)*(o - 1)**2/6
Solve -4*w**3/5 - 52*w**2/5 + 4*w/5 + 52/5 = 0.
-13, -1, 1
Factor -p**5 + 3*p**4 - 2*p**3 - 2*p**2 + 3*p - 1.
-(p - 1)**4*(p + 1)
Factor -3*d**3/7 + 3*d**2/7 + 3*d/7 - 3/7.
-3*(d - 1)**2*(d + 1)/7
Factor z**4/5 + 156*z**3/5 + 8112*z**2/5 + 140608*z/5.
z*(z + 52)**3/5
Let -2*a**3/19 - 6*a**2/19 + 2*a/19 + 6/19 = 0. What is a?
-3, -1, 1
What is d in -6*d**4/7 + 81*d**3/7 + 57*d**2/7 - 216*d/7 + 12 = 0?
-2, 1/2, 1, 14
Solve 5*x**2 - 25*x - 30 = 0 for x.
-1, 6
Let 2*r**4/11 + 8*r**3/11 - 28*r**2/11 - 72*r/11 + 90/11 = 0. Calculate r.
-5, -3, 1, 3
Suppose -2*m**4/23 + 14*m**3/23 - 18*m**2/23 - 14*m/23 + 20/23 = 0. Calculate m.
-1, 1, 2, 5
Solve -t**4/12 - t**3/12 + t**2/2 + t/3 - 2/3 = 0 for t.
-2, 1, 2
Factor -a**3/3 + 173*a**2/3 - 8051*a/3 + 48223/3.
-(a - 83)**2*(a - 7)/3
Determine c, given that -3*c**2/7 - 216*c - 3012/7 = 0.
-502, -2
Determine y, given that -y**3/2 - 59*y**2 - 1550*y + 11532 = 0.
-62, 6
Determine p, given that -2*p**2 - 396*p - 19602 = 0.
-99
Factor -98*r**3 - 56*r**2 + 24*r.
-2*r*(7*r - 2)*(7*r + 6)
Factor 3*z**4 - 9*z**3 - 72*z**2 + 240*z.
3*z*(z - 4)**2*(z + 5)
Factor -s**4 + 59*s**3 - 171*s**2 + 169*s - 56.
-(s - 56)*(s - 1)**3
Let -3*q**5/4 + q**4/4 + 9*q**3/4 - 9*q**2/4 + q/2 = 0. What is q?
-2, 0, 1/3, 1
Factor -2*n**2/15 - 76*n/5 - 2166/5.
-2*(n + 57)**2/15
What is d in 2*d**2 + 1854*d - 1856 = 0?
-928, 1
Factor g**5 + 65*g**4 - 202*g**3 + 136*g**2.
g**2*(g - 2)*(g - 1)*(g + 68)
Factor -2*w**4/13 + 30*w**3/13 - 162*w**2/13 + 378*w/13 - 324/13.
-2*(w - 6)*(w - 3)**3/13
Determine r so that 5*r**5 + 60*r**4 + 170*r**3 - 360*r**2 - 1975*r - 1500 = 0.
-5, -4, -1, 3
Factor -2*t**4 + 20*t**3 + 96*t**2 - 244*t + 130.
-2*(t - 13)*(t - 1)**2*(t + 5)
Factor 3*h**3 - 143*h**2 + 1173*h + 407.
(h - 37)*(h - 11)*(3*h + 1)
Let -3*b**3 + 72*b**2 - 252*b - 2352 = 0. What is b?
-4, 14
Factor 2*o**4/9 - 8*o**3 + 202*o**2/9 - 44*o/3.
2*o*(o - 33)*(o - 2)*(o - 1)/9
Suppose -468075*n**2/8 - 1185*n/4 - 3/8 = 0. What is n?
-1/395
Factor 2*p**3/5 - 8*p**2/5 + 2*p - 4/5.
2*(p - 2)*(p - 1)**2/5
Determine m so that m**5/3 + 4*m**4/3 - 16*m**3/3 - 22*m**2/3 + 5*m + 6 = 0.
-6, -1, 1, 3
Let -2*r**2/5 - 248*r/5 + 1024/5 = 0. What is r?
-128, 4
Factor -2*p**4/7 + 4*p**3/7 + 6*p**2/7.
-2*p**2*(p - 3)*(p + 1)/7
Factor -4*r**5 - 164*r**4 - 616*r**3 - 904*r**2 - 596*r - 148.
-4*(r + 1)**4*(r + 37)
Factor -2*q**5/5 + 6*q**4/5 - 6*q**3/5 + 2*q**2/5.
-2*q**2*(q - 1)**3/5
Factor -50*k**5 + 180*k**4 + 78*k**3 + 8*k**2.
-2*k**2*(k - 4)*(5*k + 1)**2
Find j such that -j**3 - 861*j**2 - 247107*j - 23639903 = 0.
-287
What is i in 1089*i**3/7 - 2046*i**2/7 - 260*i/7 - 8/7 = 0?
-2/33, 2
Factor 5*j**3 - 6110*j**2 + 1872700*j - 3721000.
5*(j - 610)**2*(j - 2)
What is c in 35*c**5 + 255*c**4 + 630*c**3 + 580*c**2 + 120*c = 0?
-3, -2, -2/7, 0
Solve -2*n**3/3 + 3*n**2 + 53*n/3 + 8 = 0.
-3, -1/2, 8
Determine t, given that t**2 - 52*t - 53 = 0.
-1, 53
What is w in w**3/4 + 281*w**2/4 - 141*w/2 = 0?
-282, 0, 1
What is b in -3*b**3/5 - 9*b**2 - 78*b/5 = 0?
-13, -2, 0
Find r, given that -35937*r**3/4 - 3267*r**2/4 - 99*r/4 - 1/4 = 0.
-1/33
Factor 2*y**2 + 46*y - 48.
2*(y - 1)*(y + 24)
Factor u**3 + 208*u**2 + 412*u.
u*(u + 2)*(u + 206)
Suppose 5*d**2 + 5*d - 100 = 0. Calculate d.
-5, 4
Suppose d**5 + 5*d**4/4 - 27*d**3/4 - 11*d**2/4 + 23*d/4 + 3/2 = 0. Calculate d.
-3, -1, -1/4, 1, 2
Let 3*w**4 + 141*w**3 = 0. What is w?
-47, 0
Factor -4*s**3/3 - 20*s**2/3 - 8*s.
-4*s*(s + 2)*(s + 3)/3
Determine z, given that -4*z**2 - 800*z - 796 = 0.
-199, -1
Factor -45*o**4 + 399*o**3 - 1161*o**2 + 1053*o + 162.
-3*(o - 3)**3*(15*o + 2)
Factor -j**2/4 - 301*j - 90601.
-(j + 602)**2/4
Factor -f**3 + 16*f**2 - 41*f + 26.
-(f - 13)*(f - 2)*(f - 1)
Let r**2/10 + 9*r/5 - 4 = 0. Calculate r.
-20, 2
Let -4*w**3 - 3252*w**2 - 662592*w - 659344 = 0. What is w?
-406, -1
Factor 2*k**2/9 + 26*k/9 - 136/9.
2*(k - 4)*(k + 17)/9
Factor z**3 + 12*z**2 - 4*z - 48.
(z - 2)*(z + 2)*(z 