*(d + 7)**2*(3*d + 1)
Solve -f**3/7 + 34*f**2/7 - 36*f - 648/7 = 0.
-2, 18
Factor -5*b**3 + 270*b**2 - 3045*b - 16820.
-5*(b - 29)**2*(b + 4)
Factor 3*k**2/2 - 489*k - 2961/2.
3*(k - 329)*(k + 3)/2
Suppose 3*t**4/2 - 12*t**3 + 33*t**2/2 + 48*t - 90 = 0. Calculate t.
-2, 2, 3, 5
Factor 2*s**2/11 - 11356*s/11 + 16119842/11.
2*(s - 2839)**2/11
Factor 2*s**3/15 - 6536*s**2/15 + 5339912*s/15.
2*s*(s - 1634)**2/15
Factor g**3/9 + 50*g**2/9 + 97*g/9 + 16/3.
(g + 1)**2*(g + 48)/9
Let -162*y**2 + 36*y + 16 = 0. Calculate y.
-2/9, 4/9
Determine q, given that 8*q**3 + 14*q**2 - 68*q + 16 = 0.
-4, 1/4, 2
Factor -6*q**3 + 182*q**2 + 126*q - 62.
-2*(q - 31)*(q + 1)*(3*q - 1)
Factor b**2/7 - 144/7.
(b - 12)*(b + 12)/7
Suppose 6*f**3/5 + 18*f**2/5 + 12*f/5 = 0. What is f?
-2, -1, 0
What is p in 64*p**5 + 6128*p**4 + 195073*p**3 + 2048096*p**2 - 521216*p + 32768 = 0?
-32, 1/8
Suppose -k**2/4 - 2*k - 7/4 = 0. What is k?
-7, -1
Factor g**2/3 - 16508*g/3 + 68128516/3.
(g - 8254)**2/3
What is h in 5*h**2 - 1920*h + 184320 = 0?
192
Factor -q**3 + 16*q**2 - 20*q - 112.
-(q - 14)*(q - 4)*(q + 2)
What is a in -3*a**5/5 - 13017*a**4/5 - 18831258*a**3/5 - 9089211852*a**2/5 - 9070393608*a/5 = 0?
-1446, -1, 0
Solve 6*d**4/11 - 28*d**3/11 - 14*d**2/11 + 20*d/11 = 0 for d.
-1, 0, 2/3, 5
Solve 5*f**2 - 20*f - 585 = 0.
-9, 13
Find u such that 5*u**3 - 115*u**2 - 5*u + 115 = 0.
-1, 1, 23
Factor -x**4 + 6*x**3 - 11*x**2 + 6*x.
-x*(x - 3)*(x - 2)*(x - 1)
Factor p**4 - 107*p**3 - 330*p**2 - 4*p + 440.
(p - 110)*(p - 1)*(p + 2)**2
Determine s, given that -5*s**4 + 25*s**3 - 10*s**2 - 40*s = 0.
-1, 0, 2, 4
Determine k so that -21*k**5 - 6390*k**4 - 8166*k**3 + 4572*k**2 + 8187*k + 1818 = 0.
-303, -1, -2/7, 1
Let 11*s**3/3 - 17*s**2/3 + 2*s = 0. What is s?
0, 6/11, 1
Suppose -10*l**4/19 - 4*l**3/19 + 70*l**2/19 + 88*l/19 + 24/19 = 0. What is l?
-2, -1, -2/5, 3
Suppose -a**3/3 + 3*a = 0. What is a?
-3, 0, 3
Find a, given that -114*a**5 + 64*a**4 + 502*a**3 - 252*a**2 - 184*a - 16 = 0.
-2, -1/3, -2/19, 1, 2
Find n such that -2*n**2 + 808*n + 4090 = 0.
-5, 409
Solve 3*m**3 - 3*m = 0 for m.
-1, 0, 1
What is h in 6*h**4/5 - 726*h**3/5 + 2124*h**2/5 = 0?
0, 3, 118
Solve -2*r**2/7 + 8*r/7 + 10/7 = 0.
-1, 5
Factor -4*y**5 + 8*y**3 - 4*y.
-4*y*(y - 1)**2*(y + 1)**2
Suppose 4*g**4/3 - 12*g**3 - 208*g**2/3 + 192*g + 768 = 0. Calculate g.
-4, -3, 4, 12
Determine w, given that 2*w**5 - 102*w**4 - 446*w**3 + 294*w**2 + 1980*w = 0.
-3, 0, 2, 55
Factor g**3/2 + 153*g**2/2 - 636*g + 1288.
(g - 4)**2*(g + 161)/2
Factor -3*m**4 + 69*m**3 - 423*m**2 + 231*m + 726.
-3*(m - 11)**2*(m - 2)*(m + 1)
Factor -135*i**2 + 183*i + 42.
-3*(5*i + 1)*(9*i - 14)
Factor -c**5 + 14*c**4 + 215*c**3 + 600*c**2.
-c**2*(c - 24)*(c + 5)**2
Determine y, given that 5*y**3 - 380*y**2 + 375*y = 0.
0, 1, 75
Let -4*o**5 + 4*o**4 + 44*o**3 - 116*o**2 + 104*o - 32 = 0. What is o?
-4, 1, 2
Find x such that 4*x**3 - 132*x**2 + 252*x - 124 = 0.
1, 31
Suppose 55*f**3 - 965*f**2 - 480*f + 540 = 0. Calculate f.
-1, 6/11, 18
Factor 2*i**3/7 - 30*i**2/7 - 8*i/7 + 120/7.
2*(i - 15)*(i - 2)*(i + 2)/7
Factor -4*s**3 - 64*s**2 + 404*s - 336.
-4*(s - 4)*(s - 1)*(s + 21)
Solve 3*i**5 + 90*i**4 - 408*i**3 + 48*i**2 + 1584*i - 1632 = 0 for i.
-34, -2, 2
Factor 6*k**2/11 + 714*k/11.
6*k*(k + 119)/11
Factor 5*x**3 - 15*x**2.
5*x**2*(x - 3)
Solve 22*f**5/7 + 118*f**4/7 - 626*f**3/7 + 810*f**2/7 - 324*f/7 = 0 for f.
-9, 0, 1, 18/11
What is v in -21*v**3/2 + 321*v**2/2 - 633*v + 168 = 0?
2/7, 7, 8
Find r such that r**5/5 - 14*r**4/5 - 17*r**3/5 + 6*r**2 = 0.
-2, 0, 1, 15
Find m, given that 255*m**4 - 5361*m**3 + 10071*m**2 - 5079*m + 114 = 0.
2/85, 1, 19
Find z such that -18*z**4/5 - 212*z**3/5 + 1128*z**2/5 - 1392*z/5 + 256/5 = 0.
-16, 2/9, 2
Suppose -3*u**4/8 + 35*u**3/4 - 83*u**2/8 - 14*u + 11/2 = 0. What is u?
-1, 1/3, 2, 22
Factor r**2/11 + 37*r/11 + 312/11.
(r + 13)*(r + 24)/11
Determine y, given that -4*y**5 + 36*y**4 - 76*y**3 + 12*y**2 + 80*y - 48 = 0.
-1, 1, 2, 6
Factor -27*q**3/4 - 2691*q**2/4 - 1785*q/4 - 297/4.
-3*(q + 99)*(3*q + 1)**2/4
Factor -5*z**4 + 64*z**3 - 196*z**2 + 176*z.
-z*(z - 2)**2*(5*z - 44)
Factor -3*a**4 - 42*a**3 - 39*a**2.
-3*a**2*(a + 1)*(a + 13)
Suppose -z**2/8 + 5*z/8 = 0. Calculate z.
0, 5
Let -5*b**2/4 + 35*b + 2665/4 = 0. What is b?
-13, 41
Find o, given that 5*o**5 + 25*o**4 - 230*o**3 + 200*o**2 = 0.
-10, 0, 1, 4
Factor -n**4 + 2*n**3 + 13*n**2 + 10*n.
-n*(n - 5)*(n + 1)*(n + 2)
Suppose 81*t**5 + 279*t**4 + 355*t**3 + 201*t**2 + 48*t + 4 = 0. What is t?
-1, -2/9
Suppose -4*h**3 - 4*h**2 + 16*h + 16 = 0. What is h?
-2, -1, 2
Factor -3*a**4 + 3*a**3 + 18*a**2 - 12*a - 24.
-3*(a - 2)**2*(a + 1)*(a + 2)
What is y in y**4/7 - 64*y**3/7 - y**2/7 + 64*y/7 = 0?
-1, 0, 1, 64
Suppose -2*t**4 + 1412*t**3 - 4224*t**2 + 4220*t - 1406 = 0. What is t?
1, 703
Factor -3*w**4 + 3*w**3 + 18*w**2 - 12*w - 24.
-3*(w - 2)**2*(w + 1)*(w + 2)
Let -2*u**5/15 - 16*u**4/15 - 14*u**3/5 - 12*u**2/5 = 0. What is u?
-3, -2, 0
Factor 3*k**3 - 57*k**2 - 480*k + 9984.
3*(k - 16)**2*(k + 13)
Factor 8*u**3 - 1332*u**2 - 672*u + 668.
4*(u - 167)*(u + 1)*(2*u - 1)
Find m, given that -4*m**2/5 + 184*m/5 - 2116/5 = 0.
23
Determine p so that 5*p**4 + 570*p**3 - 5415*p**2 + 14680*p - 9840 = 0.
-123, 1, 4
Factor 2*l**4/11 + 16*l**3/11 + 42*l**2/11 + 36*l/11.
2*l*(l + 2)*(l + 3)**2/11
Factor 2*u**3/5 + 4*u**2/5 - 18*u/5 - 36/5.
2*(u - 3)*(u + 2)*(u + 3)/5
Determine y, given that -y**2/2 - 204*y + 409/2 = 0.
-409, 1
Determine r, given that 2*r**2/11 - 50*r/11 = 0.
0, 25
Factor 5*h**5 - 655*h**4 + 3180*h**3 - 3760*h**2 - 2560*h + 5040.
5*(h - 126)*(h - 2)**3*(h + 1)
Let -6*s**4/11 + 238*s**3/11 - 104*s**2 - 408*s/11 = 0. Calculate s.
-1/3, 0, 6, 34
Factor -4*q**3 - 48*q**2 + 4*q + 48.
-4*(q - 1)*(q + 1)*(q + 12)
Factor 4*b**4 - 296*b**3 + 5764*b**2 - 10656*b + 5184.
4*(b - 36)**2*(b - 1)**2
Factor 2*i**2 - 150*i - 152.
2*(i - 76)*(i + 1)
Suppose -3*f**5 - 141*f**4 - 273*f**3 - 135*f**2 = 0. What is f?
-45, -1, 0
Factor -2*w**5 - 160*w**4 - 3200*w**3.
-2*w**3*(w + 40)**2
Determine j, given that 2*j**5/3 + 4*j**4/3 - 8*j**3 + 28*j**2/3 - 10*j/3 = 0.
-5, 0, 1
Factor -a**3/2 - 12*a**2 + 2*a + 48.
-(a - 2)*(a + 2)*(a + 24)/2
Determine q, given that q**4/4 + 5*q**3 - 51*q**2/4 - 79*q/2 - 22 = 0.
-22, -1, 4
Let 8*a**4 - 66*a**3 + 8*a**2 + 66*a - 16 = 0. Calculate a.
-1, 1/4, 1, 8
Solve -12*p**2/7 + 669*p/7 + 24 = 0 for p.
-1/4, 56
Suppose 3*q**4/5 - 21*q**3/5 - 279*q**2/5 + 2877*q/5 - 6468/5 = 0. Calculate q.
-11, 4, 7
Let 8*h**3/3 - 242*h**2 + 538*h/3 + 60 = 0. What is h?
-1/4, 1, 90
Factor 196*x**2 + 336*x + 144.
4*(7*x + 6)**2
Find f, given that -2*f**3/9 + 340*f**2/9 - 334*f/9 - 676/9 = 0.
-1, 2, 169
Let -2*b**2/7 + 480*b/7 - 28800/7 = 0. Calculate b.
120
Determine y, given that 2*y**5 - 4*y**4 + 4*y**2 - 2*y = 0.
-1, 0, 1
Factor -3*x**3 - 87*x**2 + 288*x.
-3*x*(x - 3)*(x + 32)
Determine q, given that 2*q**2/7 - 74*q/7 - 76/7 = 0.
-1, 38
Let -4*o**5 + 20*o**4 - 36*o**3 + 28*o**2 - 8*o = 0. What is o?
0, 1, 2
Solve -20*a**5/3 - 24*a**4 + 28*a**3 + 232*a**2/3 + 32*a = 0.
-4, -1, -3/5, 0, 2
Factor -4*w**3 + 2016*w**2 - 8016*w + 8000.
-4*(w - 500)*(w - 2)**2
Factor u**3/3 + 397*u**2/6 + 589*u/6 - 197/3.
(u + 2)*(u + 197)*(2*u - 1)/6
What is c in 30*c**4 - 64*c**3 - 82*c**2 + 12*c = 0?
-1, 0, 2/15, 3
Let 3*u**2 + 45*u - 102 = 0. Calculate u.
-17, 2
Suppose -y**2 + 8*y + 9 = 0. Calculate y.
-1, 9
Suppose -3*p**5/8 - 3*p**4/8 + 3*p**3/8 + 3*p**2/8 = 0. Calculate p.
-1, 0, 1
Determine n, given that 2*n**2/7 + 50*n/7 - 52/7 = 0.
-26, 1
Factor q**3 - 20*q**2 - 47*q + 66.
(q - 22)*(q - 1)*(q + 3)
Solve -44*s**4 - 52*s**3 + 36*s**2 + 52*s + 8 = 0 for s.
-1, -2/11, 1
What is i in -i**2/4 + 144*i + 1737/4 = 0?
-3, 579
Determine q so that -q**2/2 + 553*q - 305809/2 = 0.
553
What is t in 15*t**5 + 24*t**4 - 627*t**3 - 384*t**2 + 252*t = 0?
-7, -1, 0, 2/5, 6
Solve -3*i**2 - 279*i - 276 = 0 for i.
-92, -1
Factor 3*d**4 + 21*d**3 + 9*d**2 - 93*d + 60.
3*(d - 1)**2*(d + 4)*(d + 5)
Determine p, given that 1024*p**2/3 - 320*p + 75 = 0.
15/32
Factor 2*y**5/7 - 58*y**4/7 + 500*y**3/7 - 1172*y**2/7 + 1066*y/7 - 338/7.
2*(y - 13)**2*(y - 1)**3/7
Find a, given that -2*a**3 + 8820*a**2 - 12965400*a + 6353046000 = 0.
1470
Factor -5*b**3/4 + 65*b**2/4 - 55*b/2.
-5*b*(b - 11)*(b - 2)/4