or -3*t**2 - 138*t.
-3*t*(t + 46)
Factor c**3/6 - 19*c**2/6 + 33*c/2 - 27/2.
(c - 9)**2*(c - 1)/6
Suppose 2*v**4/3 + 112*v**3/3 + 666*v**2 + 10472*v/3 - 12584/3 = 0. What is v?
-22, -13, 1
Determine r, given that -3*r**4 - 24*r**3 - 48*r**2 = 0.
-4, 0
Factor -5*q**4 + 35*q**3 + 15*q**2 - 95*q - 70.
-5*(q - 7)*(q - 2)*(q + 1)**2
What is q in 2*q**2/7 - 248*q/7 + 7688/7 = 0?
62
Determine d so that -15*d**3 - 410*d**2 + 715*d - 290 = 0.
-29, 2/3, 1
Factor 4*i**5 + 228*i**4 - 232*i**3.
4*i**3*(i - 1)*(i + 58)
Suppose 15*l**5 + 40*l**4 - 60*l**3 - 150*l**2 - 35*l + 30 = 0. Calculate l.
-3, -1, 1/3, 2
Factor -3*p**2 - 699*p.
-3*p*(p + 233)
Find i, given that -2*i**5/13 - 10*i**4/13 + 24*i**3/13 + 136*i**2/13 - 64*i/13 - 384/13 = 0.
-4, -2, 2, 3
Determine u so that -3*u**4/8 + 27*u**3/4 - 315*u**2/8 + 87*u - 54 = 0.
1, 4, 9
Factor w**5 + 6*w**4 - 10*w**3 - 16*w**2 + 33*w - 14.
(w - 1)**3*(w + 2)*(w + 7)
Let -9*l**4 - 147*l**3 - 624*l**2 - 192*l = 0. Calculate l.
-8, -1/3, 0
Find c, given that c**2/7 - c/7 - 12/7 = 0.
-3, 4
Suppose d**5/8 - d**4/4 - 25*d**3/8 + d**2/4 + 3*d = 0. Calculate d.
-4, -1, 0, 1, 6
Factor -4*i**3 + 84*i**2 - 504*i + 704.
-4*(i - 11)*(i - 8)*(i - 2)
Factor -z**4/2 + 5*z**3/2 - 2*z**2.
-z**2*(z - 4)*(z - 1)/2
Solve -2*d**2/7 + 12*d/7 - 16/7 = 0 for d.
2, 4
Solve 2*q**2/11 + 128*q/11 - 1480/11 = 0 for q.
-74, 10
Factor 2*g**5/5 - 264*g**4 + 69696*g**3 - 9199872*g**2 + 607191552*g - 80149284864/5.
2*(g - 132)**5/5
Factor -2*n**4 + 132*n**3 + 992*n**2 + 2172*n + 1314.
-2*(n - 73)*(n + 1)*(n + 3)**2
Factor -4*b**2 + 576*b - 20736.
-4*(b - 72)**2
Factor 3*u**2 + 6*u - 72.
3*(u - 4)*(u + 6)
Solve -d**4 - 49*d**3/6 - 43*d**2/3 - 49*d/6 - 1 = 0.
-6, -1, -1/6
Determine p, given that -p**2/4 - 20*p - 400 = 0.
-40
Factor j**2/5 + 2*j.
j*(j + 10)/5
What is q in 3*q**3 + 15*q**2 - 66*q + 48 = 0?
-8, 1, 2
What is d in -4*d**5 + 172*d**4 + 588*d**3 - 1676*d**2 + 920*d = 0?
-5, 0, 1, 46
Let 2*f**4/7 - 159*f**3/7 + 1997*f**2/7 - 1047*f + 455 = 0. What is f?
1/2, 7, 65
Factor -20*t**5 + 180*t**4 - 305*t**3 - 450*t**2 - 125*t.
-5*t*(t - 5)**2*(2*t + 1)**2
Factor 4*a**3 + 56*a**2 + 228*a + 288.
4*(a + 3)**2*(a + 8)
Find u, given that 2*u**5 - 36*u**4 - 322*u**3 - 684*u**2 - 400*u = 0.
-4, -2, -1, 0, 25
Factor -4*n**3 + 336*n**2 - 9396*n + 87464.
-4*(n - 29)**2*(n - 26)
Let p**2 - 329*p - 330 = 0. Calculate p.
-1, 330
Suppose -4*i**2 + 28*i + 680 = 0. Calculate i.
-10, 17
Determine n, given that -4*n**4 - 28*n**3 - 36*n**2 + 28*n + 40 = 0.
-5, -2, -1, 1
Find a such that -a**3/10 - a**2/10 + 2*a/5 + 2/5 = 0.
-2, -1, 2
Factor 14*y**2/3 - 74*y/3 + 92/3.
2*(y - 2)*(7*y - 23)/3
Suppose 5*x**4 - 130*x**3 + 200*x**2 + 960*x = 0. What is x?
-2, 0, 4, 24
Let 21*y**2 + 6849*y + 978 = 0. What is y?
-326, -1/7
Factor i**4/3 - 47*i**3/3 - i**2/3 + 47*i/3.
i*(i - 47)*(i - 1)*(i + 1)/3
Find r, given that -6*r**4/7 - 2*r**3/7 + 24*r**2/7 + 8*r/7 = 0.
-2, -1/3, 0, 2
Suppose -4*m**2 + 120*m - 116 = 0. What is m?
1, 29
Factor 152352*r**2 - 1104*r + 2.
2*(276*r - 1)**2
Factor 3*b**4/4 + 3*b**3 - 3*b**2/2 - 9*b + 27/4.
3*(b - 1)**2*(b + 3)**2/4
Factor -2*i**3/17 - 40*i**2/17 - 206*i/17 - 168/17.
-2*(i + 1)*(i + 7)*(i + 12)/17
Factor 2*a**2/9 - 4*a.
2*a*(a - 18)/9
Determine m so that m**2/3 + 1744*m/3 - 1745/3 = 0.
-1745, 1
Find h such that 3*h**5 - 9*h**4 - 18*h**3 + 30*h**2 + 63*h + 27 = 0.
-1, 3
Solve -n**4/4 - 29*n**3/2 - 55*n**2/4 + 57*n/2 = 0.
-57, -2, 0, 1
Determine m, given that -4*m**5/17 - 10*m**4/17 + 88*m**3/17 + 286*m**2/17 + 120*m/17 = 0.
-4, -3, -1/2, 0, 5
Factor 20*d**5 - 68*d**4 + 84*d**3 - 44*d**2 + 8*d.
4*d*(d - 1)**3*(5*d - 2)
Factor 3*s**2/5 + 804*s/5.
3*s*(s + 268)/5
Find i, given that -5*i**3/2 - 2*i**2 + 281*i/2 - 28 = 0.
-8, 1/5, 7
Factor k**4 - 26*k**3 + 216*k**2 - 486*k - 729.
(k - 9)**3*(k + 1)
Find l, given that 9*l**5/5 + 173*l**4/5 - 538*l**3/5 + 268*l**2/5 + 88*l/5 = 0.
-22, -2/9, 0, 1, 2
Factor 2*j**2/15 + 32*j/15 + 56/15.
2*(j + 2)*(j + 14)/15
Suppose -2166*k**5/5 - 3078*k**4 - 1602*k**3/5 - 42*k**2/5 = 0. Calculate k.
-7, -1/19, 0
Solve -2*c**2/9 - 110*c/9 - 752/9 = 0 for c.
-47, -8
Suppose -54*v**5 - 1548*v**4/11 - 1356*v**3/11 - 40*v**2 - 34*v/11 + 4/11 = 0. Calculate v.
-1, -1/3, 2/33
Factor -3*f**2/2 - 504*f.
-3*f*(f + 336)/2
Factor 2*x**5/15 + 106*x**4/15 - 36*x**3/5.
2*x**3*(x - 1)*(x + 54)/15
Let -s**3 + 12*s**2 + s - 12 = 0. What is s?
-1, 1, 12
Let f**3/2 + 145*f**2/2 + 5727*f/2 + 33327/2 = 0. What is f?
-69, -7
Suppose 2*v**2/3 + 9632*v/3 + 11596928/3 = 0. Calculate v.
-2408
Let g**4 - 19*g**3 + 57*g**2 + 175*g + 98 = 0. What is g?
-1, 7, 14
Factor -8*k**3 + 10*k**2 - 2*k.
-2*k*(k - 1)*(4*k - 1)
Factor u**4 - 19*u**3 + 64*u**2 - 60*u.
u*(u - 15)*(u - 2)**2
Determine o, given that 2*o**3 + 90*o**2 + 156*o - 688 = 0.
-43, -4, 2
Factor 5*t**3 + 120*t**2 - 1025*t + 1860.
5*(t - 4)*(t - 3)*(t + 31)
Factor 3*w**4 - 294*w**3 + 6579*w**2 + 31212*w.
3*w*(w - 51)**2*(w + 4)
Suppose -10*n**3 + 95*n**2 - 245*n + 100 = 0. Calculate n.
1/2, 4, 5
Factor -23805*t**2 + 1380*t - 20.
-5*(69*t - 2)**2
Suppose -b**4 + 712*b**3 + 2142*b**2 + 2144*b + 715 = 0. Calculate b.
-1, 715
Let -5*w**2 + 95*w + 210 = 0. Calculate w.
-2, 21
Factor z**3/4 - 3*z**2/2 + 3*z/4 + 5/2.
(z - 5)*(z - 2)*(z + 1)/4
Factor -q**4 - 4*q**3 + 7*q**2 + 10*q.
-q*(q - 2)*(q + 1)*(q + 5)
Let -o**4/7 + 26*o**3/7 + 87*o**2/7 = 0. What is o?
-3, 0, 29
Suppose 48*i**5 - 4344*i**4 - 6621*i**3 - 294*i**2 + 1659*i - 276 = 0. Calculate i.
-1, 1/4, 92
Suppose 450*y**3/7 + 1230*y**2/7 - 352*y/7 + 24/7 = 0. What is y?
-3, 2/15
Factor 2*a**3 + 14*a**2 - 16*a.
2*a*(a - 1)*(a + 8)
Factor -5*w**3 - 15*w**2 + 20*w.
-5*w*(w - 1)*(w + 4)
Find n such that n**4/4 - n**3/2 + n**2/4 = 0.
0, 1
Solve -5*x**3 + 20*x**2 - 5*x - 30 = 0 for x.
-1, 2, 3
Let -3*q**3/2 + 21*q**2 - 33*q/2 - 39 = 0. Calculate q.
-1, 2, 13
Suppose -g**2/9 + g/9 + 4/3 = 0. What is g?
-3, 4
Factor -2*z**3/9 + 580*z**2/3 - 386*z + 1736/9.
-2*(z - 868)*(z - 1)**2/9
Solve -n**2/4 - 475*n/4 = 0.
-475, 0
Solve r**2/4 + 14*r - 57/4 = 0 for r.
-57, 1
Factor 3*q**3/2 + 34*q**2 - 347*q/2 + 54.
(q - 4)*(q + 27)*(3*q - 1)/2
Factor -2*p**5/3 - 40*p**4/3 - 200*p**3/3.
-2*p**3*(p + 10)**2/3
Factor 2*v**4 - 38*v**3 + 24*v**2 + 216*v.
2*v*(v - 18)*(v - 3)*(v + 2)
Factor 5*w**4/8 - 167*w**3/8 - 13*w**2 + 17*w/2.
w*(w - 34)*(w + 1)*(5*w - 2)/8
Let -3*u**4 - 516*u**3 - 24108*u**2 - 161376*u = 0. What is u?
-82, -8, 0
Solve 8*z**5 - 32*z**4 - 98*z**3 + 8*z**2 + 24*z = 0.
-2, -1/2, 0, 1/2, 6
Factor -6*k**2/5 + 94*k/5 + 32/5.
-2*(k - 16)*(3*k + 1)/5
Factor 5*o**2 + 120*o + 640.
5*(o + 8)*(o + 16)
What is w in 164*w**2 + 476*w/3 - 16/3 = 0?
-1, 4/123
What is x in 10*x**5 - 8*x**4 - 312*x**3 - 52*x**2 + 302*x + 60 = 0?
-5, -1, -1/5, 1, 6
Factor p**5 - 53*p**4 + 427*p**3 + 7177*p**2 + 22072*p + 15376.
(p - 31)**2*(p + 1)*(p + 4)**2
Determine g, given that -g**2 + 28*g + 29 = 0.
-1, 29
Factor 3*r**3 - 237*r**2 + 5217*r - 20535.
3*(r - 37)**2*(r - 5)
Suppose -38*d**4/9 - 2*d**3/3 + 70*d**2/9 + 2*d/3 - 32/9 = 0. What is d?
-1, 16/19, 1
Factor 5*a**5 + 30*a**4 - 15*a**3 - 100*a**2 - 60*a.
5*a*(a - 2)*(a + 1)**2*(a + 6)
Let -3*m**3/2 + 27*m**2/4 + 123*m/4 + 45/2 = 0. What is m?
-2, -1, 15/2
Solve 6*d**5 + 15*d**4 - 177*d**3 - 438*d**2 + 1152*d + 2592 = 0.
-4, -2, 3, 9/2
Solve -2*q**5/7 - 46*q**4/7 - 4*q**3 + 376*q**2/7 + 528*q/7 = 0 for q.
-22, -2, 0, 3
Factor 6125*l**4 - 12600*l**3 + 6830*l**2 - 360*l + 5.
5*(l - 1)**2*(35*l - 1)**2
Find m, given that -m**2/4 + 3*m/4 - 1/2 = 0.
1, 2
Factor -25*m**3 + 345*m**2 - 1310*m + 840.
-5*(m - 7)*(m - 6)*(5*m - 4)
Factor 14*b**4 - 352*b**3 + 706*b**2 - 368*b.
2*b*(b - 23)*(b - 1)*(7*b - 8)
Factor -5*l**3 + 4930*l**2 + 4945*l - 9870.
-5*(l - 987)*(l - 1)*(l + 2)
Find y, given that 5*y**2 + 65*y - 70 = 0.
-14, 1
Factor 99*g**4 + 93*g**3 - 4164*g**2 + 252*g.
3*g*(g - 6)*(g + 7)*(33*g - 2)
Suppose -242*r**3/13 + 638*r**2/13 + 80*r/13 - 800/13 = 0. Calculate r.
-1, 20/11
Factor 4*n**2 - 128*n + 1024.
4*(n - 16)**2
Solve -5*b**5 - 130*b**4 - 695*b**3 + 2090*b**2 + 700*b - 1960 = 0 for b.
-14, -1, 1, 2
Solve -196*t**4 + 868*t**3 + 544*t**2 + 80*t = 0 for t.
-2/7, 0, 5
Factor -2*x**2/7 - 262*x/7 - 516/7.
-2*(x + 2)*(x + 129)/7
What is g in g**5 + g**4 - 7*g**3 - g**2 + 6*g = 0?
-3, -1, 0, 1, 2
Factor 5*k**3 - 250*k**2 + 