15*b**2/3 + 140*b/3 - 20 = 0.
1, 2, 3
Suppose -2*z**2/21 - 664*z/21 - 55112/21 = 0. What is z?
-166
Factor -q**4/5 - 48*q**3 - 14157*q**2/5 + 29282*q/5.
-q*(q - 2)*(q + 121)**2/5
Factor 5*y**3 + 3330*y**2 + 739260*y + 54705240.
5*(y + 222)**3
Suppose 13*n**3/3 - 916*n**2/3 + 16345*n/3 - 2450 = 0. Calculate n.
6/13, 35
Determine t, given that 2*t**2 - 122*t - 804 = 0.
-6, 67
Find r such that -18*r**5/5 + 69*r**4/5 + 99*r**3 + 156*r**2 + 468*r/5 + 96/5 = 0.
-2, -1, -2/3, -1/2, 8
Suppose 4*q**4 - 20*q**3 + 20*q**2 + 20*q - 24 = 0. Calculate q.
-1, 1, 2, 3
Factor -h**2/5 - 26*h/5 - 169/5.
-(h + 13)**2/5
Solve -2*m**3 + 40*m**2 - 66*m - 108 = 0 for m.
-1, 3, 18
Factor -3*h**4 + 2*h**3 + 12*h**2 - 8*h.
-h*(h - 2)*(h + 2)*(3*h - 2)
Suppose -4*f**3 + 4*f = 0. Calculate f.
-1, 0, 1
Factor 21*o**3 + 4866*o**2 - 11220*o + 2808.
3*(o - 2)*(o + 234)*(7*o - 2)
Determine v so that v**5/8 - 3*v**4/4 + 5*v**3/8 + 5*v**2/2 - 9*v/2 + 2 = 0.
-2, 1, 2, 4
Factor -s**2/2 + 21*s/2 - 34.
-(s - 17)*(s - 4)/2
Factor 2*f**3/7 - 198*f**2/7 + 714*f - 686.
2*(f - 49)**2*(f - 1)/7
Solve -2*r**3/7 + 960*r**2/7 - 153600*r/7 + 8192000/7 = 0.
160
Factor -3*q**2 - 591*q + 594.
-3*(q - 1)*(q + 198)
Factor w**4/3 + 6*w**3 - 499*w**2/3 + 564*w + 1836.
(w - 9)**2*(w + 2)*(w + 34)/3
Factor 3*r**2/2 - 297*r/2 - 1998.
3*(r - 111)*(r + 12)/2
Solve -7*b**5 + 10*b**4 - 3*b**3 = 0.
0, 3/7, 1
Factor 20*r**4 - 35*r**3 + 15*r**2.
5*r**2*(r - 1)*(4*r - 3)
Solve -48*l**2 - 159*l - 45 = 0 for l.
-3, -5/16
Find p such that -2*p**3/9 + 115*p**2/9 + 59*p/3 = 0.
-3/2, 0, 59
Determine i so that i**3/3 + 3605*i**2/3 + 3250808*i/3 + 3247204/3 = 0.
-1802, -1
Factor l**3 - 222*l**2 + 12540*l - 24200.
(l - 110)**2*(l - 2)
Suppose 2*s**2/23 + 50*s/23 - 168/23 = 0. Calculate s.
-28, 3
Let 324*t**4 - 3204*t**3 - 40904*t**2 - 111104*t - 73728 = 0. What is t?
-32/9, -1, 18
Factor -m**4/5 + 4*m**3/5 + m**2/5 - 4*m/5.
-m*(m - 4)*(m - 1)*(m + 1)/5
Factor 3*o**3/4 - 336*o**2 - 2697*o/4 - 675/2.
3*(o - 450)*(o + 1)**2/4
Solve -2*q**5/15 - 2*q**4/5 + 8*q**2/15 = 0 for q.
-2, 0, 1
Find r such that r**3 - 42*r**2 + 81*r - 40 = 0.
1, 40
Factor 4*b**2 + 72*b - 76.
4*(b - 1)*(b + 19)
Factor -n**2/3 - 268*n/3 + 269/3.
-(n - 1)*(n + 269)/3
Factor -8*c**3/7 + 166*c**2/7 + 6*c.
-2*c*(c - 21)*(4*c + 1)/7
Find t, given that 3*t**5/2 + 9*t**4 + 3*t**3/2 - 36*t**2 - 30*t = 0.
-5, -2, -1, 0, 2
Factor 4*b**3/7 + 36*b**2/7 + 80*b/7 + 48/7.
4*(b + 1)*(b + 2)*(b + 6)/7
Let -56*u**3 + 132*u**2 + 624*u + 272 = 0. What is u?
-2, -1/2, 34/7
Solve 2*q**3/3 - 100*q**2/3 - 2*q/3 + 100/3 = 0.
-1, 1, 50
Factor 4*w**4 + 36*w**3 + 100*w**2 + 108*w + 40.
4*(w + 1)**2*(w + 2)*(w + 5)
Factor 5*m**2 - 380*m + 7220.
5*(m - 38)**2
Factor 5*l**2 - 575*l - 580.
5*(l - 116)*(l + 1)
Factor 3*l**2 - 39*l - 90.
3*(l - 15)*(l + 2)
What is x in x**5 + 4*x**4 - 21*x**3 - 52*x**2 + 20*x + 48 = 0?
-6, -2, -1, 1, 4
Factor 4*o**5 + 16*o**4 + 20*o**3 + 8*o**2.
4*o**2*(o + 1)**2*(o + 2)
Determine r, given that 12*r**5 - 760*r**4 + 240*r**3 + 760*r**2 - 252*r = 0.
-1, 0, 1/3, 1, 63
Factor -4*f**2 - 16*f + 20.
-4*(f - 1)*(f + 5)
Factor -4*r**3 - 128*r**2 - 240*r.
-4*r*(r + 2)*(r + 30)
Solve -i**3/4 - 275*i**2/4 + i/4 + 275/4 = 0 for i.
-275, -1, 1
Factor -p**2/9 - 550*p - 680625.
-(p + 2475)**2/9
Find i such that 50*i**5 - 810*i**4 + 28*i**3 + 2024*i**2 + 1392*i + 256 = 0.
-1, -2/5, 2, 16
What is m in 2*m**2/21 - 46*m/3 = 0?
0, 161
Solve -6*b**4/11 - 178*b**3 - 2602*b**2/11 - 650*b/11 = 0.
-325, -1, -1/3, 0
Solve 2*w**3/7 + 10*w**2/7 + 12*w/7 = 0 for w.
-3, -2, 0
Factor 15*w**3/2 + 1239*w**2/2 - 879*w + 252.
3*(w - 1)*(w + 84)*(5*w - 2)/2
Let -5*c**5 - 50*c**4 + 10*c**3 + 640*c**2 - 1085*c + 490 = 0. Calculate c.
-7, 1, 2
Factor -50*p**5 - 196*p**4 - 284*p**3 - 176*p**2 - 34*p + 4.
-2*(p + 1)**4*(25*p - 2)
Find g, given that -3*g**4 + 378*g**3 + 9*g**2 - 1128*g - 756 = 0.
-1, 2, 126
Factor 2*q**3 - 14*q**2 + 14*q + 30.
2*(q - 5)*(q - 3)*(q + 1)
Suppose 2*b**4/7 - 116*b**3/7 + 1562*b**2/7 + 3480*b/7 + 1800/7 = 0. What is b?
-1, 30
Find n such that -n**4/2 - 4340*n**3 - 14126700*n**2 - 20436626000*n - 11086869605000 = 0.
-2170
Factor 10*s**5 - 22*s**4 + 4*s**3.
2*s**3*(s - 2)*(5*s - 1)
Suppose 4*t**5 - 140*t**4 + 1888*t**3 - 12208*t**2 + 37760*t - 44800 = 0. What is t?
4, 7, 10
Factor q**3 - 90*q**2 - 469*q - 570.
(q - 95)*(q + 2)*(q + 3)
Factor -24*a**4 + 508*a**3 - 2464*a**2 - 2420*a.
-4*a*(a - 11)**2*(6*a + 5)
Factor -5*k**3/3 - 22792*k**2/3 - 25978321*k/3 - 10387682/3.
-(k + 2279)**2*(5*k + 2)/3
Let s**3 + 112*s**2 + 2773*s - 20886 = 0. Calculate s.
-59, 6
Solve 1260*j**4 + 10740*j**3 - 5305*j**2 + 850*j - 45 = 0 for j.
-9, 1/7, 1/6
Determine i so that -2*i**3 + 88*i**2 - 874*i - 2116 = 0.
-2, 23
Factor 4*g**3/3 + 80*g**2/3 - 16*g/3 - 320/3.
4*(g - 2)*(g + 2)*(g + 20)/3
Determine p so that p**4/4 + p**3/2 - p**2/4 - p/2 = 0.
-2, -1, 0, 1
Suppose -r**4/7 + 12*r**3 - 1846*r**2/7 + 492*r - 1681/7 = 0. What is r?
1, 41
Determine w, given that 2*w**5/7 - 18*w**4/7 + 54*w**3/7 - 54*w**2/7 = 0.
0, 3
Let 38*o**4/3 + 634*o**3/9 + 730*o**2/9 - 142*o/3 + 4 = 0. What is o?
-3, 2/19, 1/3
Suppose 4*b**3/5 + 4*b**2/5 - 8*b/5 = 0. Calculate b.
-2, 0, 1
Factor 3*i**4/4 - 9*i**3/4 - 3*i**2 + 9*i.
3*i*(i - 3)*(i - 2)*(i + 2)/4
Factor -5*v**2 - 80*v + 85.
-5*(v - 1)*(v + 17)
Factor -8*d**3/9 + 9*d**2 - d/3 - 70/9.
-(d - 10)*(d - 1)*(8*d + 7)/9
Solve 28*n**3/5 - 116*n**2 + 896*n/5 + 304/5 = 0.
-2/7, 2, 19
Factor -20*o**3 - 704*o**2 - 5904*o + 5184.
-4*(o + 18)**2*(5*o - 4)
Factor -5*l**3/4 + 45*l**2 - 1575*l/4.
-5*l*(l - 21)*(l - 15)/4
Find g such that -6*g**4 - 50*g**3 - 392*g**2/3 - 344*g/3 - 32 = 0.
-4, -3, -2/3
Factor -2*c**4 + 50*c**3 + 54*c**2 - 50*c - 52.
-2*(c - 26)*(c - 1)*(c + 1)**2
Suppose -o**3/7 + 10*o**2/7 + 47*o/7 - 72 = 0. Calculate o.
-7, 8, 9
Let -2*f**5/3 - 254*f**4/3 + 534*f**3 + 686*f**2/3 - 14800*f/3 + 4256 = 0. What is f?
-133, -3, 1, 4
Find r such that 3*r**2/2 - 9*r - 165/2 = 0.
-5, 11
Factor 2*l**4/3 + 26*l**3/3 + 30*l**2 - 50*l/3 - 500/3.
2*(l - 2)*(l + 5)**3/3
Solve -2*h**4/7 - 86*h**3/7 - 318*h**2/7 - 234*h/7 = 0 for h.
-39, -3, -1, 0
Solve 4*w**3 - 244*w**2 + 3840*w - 3600 = 0 for w.
1, 30
Factor 10*c**5 + 35*c**4 + 45*c**3 + 25*c**2 + 5*c.
5*c*(c + 1)**3*(2*c + 1)
Determine i so that -4*i**2 + 1204*i + 9888 = 0.
-8, 309
Factor -3*c**3 + 36*c**2 + 45*c - 78.
-3*(c - 13)*(c - 1)*(c + 2)
Suppose -2*u**2/13 - 44*u/13 + 16 = 0. Calculate u.
-26, 4
Solve z**2/7 - 23*z/7 + 6 = 0.
2, 21
What is g in -3*g**4 + 60*g**3 - 201*g**2 + 144*g = 0?
0, 1, 3, 16
Find o, given that -10*o**3 + 3494*o**2/3 + 1870*o/3 + 78 = 0.
-1/3, -1/5, 117
Determine s so that -4*s**2 + 120*s - 324 = 0.
3, 27
Factor -2*i**3/7 + 20*i**2/7.
-2*i**2*(i - 10)/7
Factor u**3/11 - 397*u**2/11 + 791*u/11 - 395/11.
(u - 395)*(u - 1)**2/11
Factor 5*h**3 + 35*h**2 - 565*h + 525.
5*(h - 7)*(h - 1)*(h + 15)
Suppose 3*v**3 - 30*v**2 - 33*v = 0. What is v?
-1, 0, 11
Determine l, given that 2*l**3/5 - 28*l**2/5 + 10*l - 24/5 = 0.
1, 12
Factor 10*l**3 + 25*l**2 - 55*l + 20.
5*(l - 1)*(l + 4)*(2*l - 1)
Factor x**2/5 - 74*x/5 + 1369/5.
(x - 37)**2/5
Factor -8*h**2/7 - 10*h/7 + 12/7.
-2*(h + 2)*(4*h - 3)/7
Solve m**3 + 8*m**2 + 5*m - 14 = 0.
-7, -2, 1
Factor -2*z**5/11 - 136*z**4/11 - 222*z**3 - 396*z**2.
-2*z**2*(z + 2)*(z + 33)**2/11
Let 245*w**4 - 1820*w**3 + 2820*w**2 + 2080*w + 320 = 0. What is w?
-2/7, 4
Suppose 2*n**4 - 12*n**3 + 18*n**2 - 8*n = 0. Calculate n.
0, 1, 4
Determine l so that 2*l**5/3 - 32*l**4/9 - 392*l**3/9 + 164*l**2/9 + 386*l/9 - 44/3 = 0.
-6, -1, 1/3, 1, 11
Determine q so that -2*q**4/13 - 10*q**3/13 - 6*q**2/13 + 10*q/13 + 8/13 = 0.
-4, -1, 1
Suppose 3*v**3/2 + 996*v**2 + 161280*v - 1354752 = 0. What is v?
-336, 8
Suppose 3*s**3/2 + 3*s**2/2 - 15*s/2 + 9/2 = 0. What is s?
-3, 1
Factor -v**2/2 + 9*v/2 + 26.
-(v - 13)*(v + 4)/2
Let -3*p**3/4 + 27*p**2/2 + 3*p/4 - 27/2 = 0. What is p?
-1, 1, 18
Factor c**4/2 + 42*c**3 + 1845*c**2/2 + 1681*c.
c*(c + 2)*(c + 41)**2/2
Suppose 21*m**4 + 78*m**3 - 3*m**2 - 132*m + 36 = 0. What is m?
-3, -2, 2/7, 1
Factor -2*g**2/5 - 1922*g/5 - 384.
-2*(g + 1)*(g + 960)/5
Find m, given that m**5 - 39*m**4/7 + 62*m**3/7 - 24*m**2/7 = 0.
0, 4/7, 2, 3
Suppose -2*h**3/19 + 24*h**2/19 + 2*h/19 - 24/19 = 0. Calculate h.
-1, 1, 12
Factor o**3/2 - 2*o**2 - 26*o - 