*2/5 - 42*w/5 + 16.
(w - 40)*(w - 2)/5
Factor 2*s**2/11 - 292*s/11 + 10658/11.
2*(s - 73)**2/11
Factor -3*l**4 - 18*l**3 - 12*l**2 + 18*l + 15.
-3*(l - 1)*(l + 1)**2*(l + 5)
Suppose d**2 - 135*d + 524 = 0. What is d?
4, 131
Let 2*p**5/3 - 2*p**4/3 - 32*p**3/3 - 40*p**2/3 = 0. What is p?
-2, 0, 5
Solve -p**5/2 + 37*p**4/2 - 223*p**3 + 955*p**2 - 2625*p/2 + 1125/2 = 0 for p.
1, 5, 15
Find v, given that 2*v**3 + 616*v**2 = 0.
-308, 0
Factor d**4/6 + 4*d**3/3 + 13*d**2/6 + d.
d*(d + 1)**2*(d + 6)/6
Factor -2*t**3/19 - 8*t**2/19 + 56*t/19 - 64/19.
-2*(t - 2)**2*(t + 8)/19
Let 50*w**5/3 + 310*w**4/3 + 28*w**3/3 - 184*w**2/3 + 16*w = 0. Calculate w.
-6, -1, 0, 2/5
Find o such that 4*o**5/3 - 20*o**4/3 - 12*o**3 + 52*o**2/3 + 112*o/3 + 16 = 0.
-1, 2, 6
Let -6*g**4 - 148*g**3 + 50*g**2 = 0. Calculate g.
-25, 0, 1/3
Solve -2*j**5/3 + 7*j**4/2 - 13*j**3/3 - 3*j**2/2 + 3*j = 0 for j.
-3/4, 0, 1, 2, 3
Suppose -l**5/4 + 21*l**4/4 - 5*l**3 - 500*l**2 + 3000*l - 2500 = 0. What is l?
-10, 1, 10
Let -20*q**5 + 515*q**4 - 370*q**3 - 125*q**2 = 0. What is q?
-1/4, 0, 1, 25
Factor 208*p**3 + 540*p**2 - 244*p + 24.
4*(p + 3)*(4*p - 1)*(13*p - 2)
Let 2*m**2 - 62*m + 116 = 0. What is m?
2, 29
Let 7*n**4/3 - 2*n**3/3 - 7*n**2/3 + 2*n/3 = 0. Calculate n.
-1, 0, 2/7, 1
Let 2*q**4 - 5*q**3/2 - 23*q**2/2 + 3*q = 0. What is q?
-2, 0, 1/4, 3
Suppose r**4/2 + 37*r**3 + 594*r**2 - 3861*r - 31941/2 = 0. What is r?
-39, -3, 7
Solve -25*t**4 + 90*t**3 - 95*t**2 + 30*t = 0 for t.
0, 3/5, 1, 2
Factor -2*f**4/7 - 12*f**3/7 + 48*f**2/7 - 52*f/7 + 18/7.
-2*(f - 1)**3*(f + 9)/7
Factor -2*h**3 + 240*h**2 - 7866*h + 38988.
-2*(h - 57)**2*(h - 6)
Solve -v**4 + v**3 + 9*v**2 + 11*v + 4 = 0.
-1, 4
Factor z**2 - 9*z - 190.
(z - 19)*(z + 10)
Let -b**5 + 3*b**4 - b**3 - 3*b**2 + 2*b = 0. What is b?
-1, 0, 1, 2
Let -2*t**3 - 8*t**2 + 14*t + 20 = 0. What is t?
-5, -1, 2
What is h in -4*h**4 - 100*h**3 - 276*h**2 - 268*h - 88 = 0?
-22, -1
Let 4*m**3 - 116*m**2 + 636*m + 756 = 0. Calculate m.
-1, 9, 21
Solve s**3/2 - s**2/2 - s = 0 for s.
-1, 0, 2
Factor 3*l**5/4 + 21*l**4/4 + 45*l**3/4 + 39*l**2/4 + 3*l.
3*l*(l + 1)**3*(l + 4)/4
Factor -2*n**2/11 - 40*n/11 - 150/11.
-2*(n + 5)*(n + 15)/11
Determine g so that -g**3 + 27*g**2 - 195*g + 169 = 0.
1, 13
Factor 15*u**3 + 335*u**2 + 100*u - 220.
5*(u + 1)*(u + 22)*(3*u - 2)
Suppose 5*g**5/3 + 23*g**4/3 + 10*g**3 + 4*g**2/3 - 8*g/3 = 0. What is g?
-2, -1, 0, 2/5
Factor 5*v**2 + 70*v - 1200.
5*(v - 10)*(v + 24)
Suppose -m**2/2 + 1147*m - 1315609/2 = 0. What is m?
1147
Factor 51*w**2 - 165*w + 114.
3*(w - 1)*(17*w - 38)
What is s in -4*s**2 + 3824*s - 7632 = 0?
2, 954
Factor 6*j**4/5 - 47*j**3/5 + 34*j**2/5 + 7*j/5.
j*(j - 7)*(j - 1)*(6*j + 1)/5
Suppose 5*j**5 - 210*j**4 + 2695*j**3 - 10790*j**2 - 2700*j + 11000 = 0. Calculate j.
-1, 1, 10, 22
Solve 3*h**3 - 48*h**2 - 531*h - 1080 = 0.
-5, -3, 24
Factor 2*z**2 + 2244*z - 2246.
2*(z - 1)*(z + 1123)
Factor 3645*y**3 + 41310*y**2 + 156060*y + 196520.
5*(9*y + 34)**3
Factor -95*z**3/3 + 64*z**2 - 4*z/3.
-z*(z - 2)*(95*z - 2)/3
Determine h so that 3*h**2/8 + 1851*h/4 + 3699/8 = 0.
-1233, -1
Solve -3*n**4 - 6*n**3 + 141*n**2 - 396*n + 324 = 0 for n.
-9, 2, 3
Factor -4*f**3/3 - f**2 + 40*f/3 + 13.
-(f + 1)*(f + 3)*(4*f - 13)/3
Solve 3*d**5/4 + 4*d**4 - 13*d**2/2 - 3*d/4 + 5/2 = 0 for d.
-5, -1, 2/3, 1
What is c in -32*c**4 - 132*c**3 + 880*c**2 - 1236*c + 520 = 0?
-65/8, 1, 2
Factor 3*y**4 - 9*y**3 + 3*y**2 + 9*y - 6.
3*(y - 2)*(y - 1)**2*(y + 1)
Suppose -r**4/7 + 4*r**3/7 + 18*r**2/7 + 20*r/7 + 1 = 0. What is r?
-1, 7
Determine l, given that 3*l**3 + 6*l**2 - 63*l + 54 = 0.
-6, 1, 3
Let -2*f**5/9 - 52*f**4/9 - 254*f**3/9 + 1532*f**2/9 + 5656*f/9 + 3920/9 = 0. Calculate f.
-14, -2, -1, 5
Factor 3*g**4/2 - 30*g**3 - 63*g**2/2.
3*g**2*(g - 21)*(g + 1)/2
Solve 3*r**4 - 18*r**2 - 24*r - 9 = 0.
-1, 3
Factor -3*z**4/4 + 69*z**3/2 - 1587*z**2/4.
-3*z**2*(z - 23)**2/4
Factor -2*g**2/9 + 112*g/9.
-2*g*(g - 56)/9
Solve 4*y**5/3 + 16*y**4 - 316*y**3/3 + 424*y**2/3 + 80*y - 544/3 = 0.
-17, -1, 2
Let -t**3/4 - 1519*t**2/2 - 3035*t - 3034 = 0. Calculate t.
-3034, -2
Factor 2*b**4 + 810*b**3.
2*b**3*(b + 405)
Factor 2*o**2 - 102*o + 376.
2*(o - 47)*(o - 4)
Find q, given that -q**5 - 79*q**4 + 521*q**3 + 875*q**2 - 5200*q - 8500 = 0.
-85, -2, 5
Solve -3*o**5 - 15*o**4 - 15*o**3 + 15*o**2 + 18*o = 0.
-3, -2, -1, 0, 1
Let h**3/4 - 6*h**2 + 113*h/4 - 45/2 = 0. What is h?
1, 5, 18
Factor -y**5/6 + 59*y**4/6 - 476*y**3/3 + 392*y**2.
-y**2*(y - 28)**2*(y - 3)/6
Determine u, given that 3*u**5 + 6*u**4 - 6*u**3 - 12*u**2 + 3*u + 6 = 0.
-2, -1, 1
Let g**3/4 + 63*g**2/2 + 4929*g/4 + 15376 = 0. What is g?
-64, -31
Suppose 2*c**3/3 + 2*c**2/3 - 8*c/3 - 8/3 = 0. Calculate c.
-2, -1, 2
Solve 4*c**3 + 252*c**2 + 5292*c + 37044 = 0.
-21
Factor a**3 + 131*a**2 - 813*a + 1233.
(a - 3)**2*(a + 137)
Factor f**2/4 - f/4 - 1/2.
(f - 2)*(f + 1)/4
Factor 3*x**2 + 69*x + 126.
3*(x + 2)*(x + 21)
Suppose -h**3/7 - 13*h**2/7 + 29*h/7 - 15/7 = 0. What is h?
-15, 1
Suppose 3*n**3 - 42*n**2 - 285*n = 0. What is n?
-5, 0, 19
Factor 5*m**2 + 65*m - 2320.
5*(m - 16)*(m + 29)
Solve -3*c**4/5 - 39*c**3/5 - 33*c**2/5 + 39*c/5 + 36/5 = 0.
-12, -1, 1
Factor r**2/3 - 44*r/3 + 161.
(r - 23)*(r - 21)/3
Suppose -3*d**2 + 24882*d - 51592827 = 0. What is d?
4147
Find g, given that -4*g**3 - 56*g**2/3 - 28*g/3 + 16/3 = 0.
-4, -1, 1/3
Factor 5*f**4 + 10*f**3 - 5*f**2 - 10*f.
5*f*(f - 1)*(f + 1)*(f + 2)
Determine f, given that 3*f**3/4 + 45*f**2/2 + 81*f/4 - 87/2 = 0.
-29, -2, 1
Factor 4*p**4 - 144*p**3 + 532*p**2 - 648*p + 256.
4*(p - 32)*(p - 2)*(p - 1)**2
Solve v**2 - 68*v - 140 = 0.
-2, 70
Find w such that -w**5/8 - 799*w**4/8 - 119997*w**3/4 - 16117607*w**2/4 - 1662806389*w/8 - 4704717603/8 = 0.
-199, -3
Factor -28*x**2 - x.
-x*(28*x + 1)
Factor -v**3/4 + 11*v**2/2 + 80*v.
-v*(v - 32)*(v + 10)/4
Factor -446*s**3 - 888*s**2 + 3576*s - 32.
-2*(s - 2)*(s + 4)*(223*s - 2)
Find l such that -4*l**4/5 - 84*l**3/5 + 276*l**2/5 - 284*l/5 + 96/5 = 0.
-24, 1
Determine h, given that 2*h**2/3 - 58*h/3 + 308/3 = 0.
7, 22
Determine f so that -2*f**4/5 + 88*f**2/5 + 288*f/5 + 256/5 = 0.
-4, -2, 8
Factor -a**3/9 + 34*a**2/9 + a/9 - 34/9.
-(a - 34)*(a - 1)*(a + 1)/9
Find p, given that 2*p**3/11 + 434*p**2/11 + 862*p/11 + 430/11 = 0.
-215, -1
Let -2*m**4 - 12*m**3 + 18*m**2 + 188*m + 240 = 0. Calculate m.
-5, -3, -2, 4
Find d, given that d**4/7 + 38*d**3/7 - 12*d**2 - 152*d/7 + 320/7 = 0.
-40, -2, 2
Determine o, given that -4*o**3 - 956*o**2 - 10104*o - 16416 = 0.
-228, -9, -2
Factor -2*n**2/15 - 28*n/15 - 6.
-2*(n + 5)*(n + 9)/15
Suppose -102*i**4 + 957*i**3 - 345*i**2 - 54*i = 0. Calculate i.
-2/17, 0, 1/2, 9
Factor 18*w**2/7 + 1390*w/7 + 44.
2*(w + 77)*(9*w + 2)/7
Suppose -6*z**5/5 + 244*z**4/5 - 1148*z**3/15 - 176*z**2/3 + 862*z/15 - 52/5 = 0. What is z?
-1, 1/3, 2, 39
Factor -4*w**2 + 72*w + 252.
-4*(w - 21)*(w + 3)
Factor 4*w**4 + 2284*w**3 - 6876*w**2 + 6884*w - 2296.
4*(w - 1)**3*(w + 574)
Solve -t**2 - 4*t - 3 = 0 for t.
-3, -1
What is a in -7*a**5/4 + 143*a**4/4 - 183*a**3 + 380*a**2 - 328*a + 84 = 0?
3/7, 2, 14
Factor 2*r**3/7 + 212*r**2/7 + 5400*r/7 - 11664/7.
2*(r - 2)*(r + 54)**2/7
Factor -2*c**3/11 - 38*c**2/11 - 70*c/11 - 34/11.
-2*(c + 1)**2*(c + 17)/11
Find f, given that -28*f**5 - 40*f**4 + 44*f**3 + 24*f**2 = 0.
-2, -3/7, 0, 1
Let 2*c**5/9 - 16*c**4/9 - 2*c**3/9 + 16*c**2/9 = 0. Calculate c.
-1, 0, 1, 8
Suppose -v**2 - 18*v - 17 = 0. What is v?
-17, -1
Suppose 10*w**5/3 + 82*w**4/3 + 196*w**3/3 + 196*w**2/3 + 82*w/3 + 10/3 = 0. What is w?
-5, -1, -1/5
Factor -3*r**2 - 57*r + 756.
-3*(r - 9)*(r + 28)
Factor -2*v**2 + 56*v + 256.
-2*(v - 32)*(v + 4)
Determine g so that -3*g**4/5 - 33*g**3/5 - 24*g**2/5 + 348*g/5 - 288/5 = 0.
-8, -6, 1, 2
Factor j**4 - 11*j**3 + 35*j**2 - 25*j.
j*(j - 5)**2*(j - 1)
Factor 14*v**2/5 + 24*v/5 - 8/5.
2*(v + 2)*(7*v - 2)/5
Let f**5/5 + 6*f**4/5 + 4*f**3/5 - 18*f**2/5 - f + 12/5 = 0. Calculate f.
-4, -3, -1, 1
Factor -5*k**2 + 630*k - 19845.
-5*(k - 63)**2
Suppose -20*h**5 + 245*h**4 - 980*h**3 + 1430*h**2 - 800*h + 125 = 0. What is h?
1/4, 1, 5
Determine f, given that 3*f**2 - 48*f = 0.
0, 16
Factor 744*w**2 + 1468*w - 40.
4*(w + 2)*(186*w - 5)
What is q in q**5/3 + 112*q**4/3 + 34*q**3 - 988*q**2/3 + 1217*q/3 - 148 = 0?
-111, -4, 1
Find