)*(r - 5)*(r - 3)/13
Let -5*w**4 - 55*w**3 - 45*w**2 + 55*w + 50 = 0. What is w?
-10, -1, 1
Suppose -2*m**4 - 1622*m**3 - 1616*m**2 + 3240*m = 0. What is m?
-810, -2, 0, 1
Factor -3*n**3/5 + 12*n**2/5 + 21*n/5 - 6.
-3*(n - 5)*(n - 1)*(n + 2)/5
Factor 2*z**3 + 58*z**2 + 412*z + 608.
2*(z + 2)*(z + 8)*(z + 19)
Determine d so that -9*d**5 - 1164*d**4 - 36057*d**3 + 101778*d**2 - 90684*d + 26136 = 0.
-66, 2/3, 1
Find y, given that 4*y**3 + 2188*y**2 + 298112*y - 300304 = 0.
-274, 1
Factor 2*s**2/7 + 22*s/7.
2*s*(s + 11)/7
Factor 50*z**3 + 1300*z**2 - 8*z - 208.
2*(z + 26)*(5*z - 2)*(5*z + 2)
Suppose -3*h**3/4 + 15*h**2/4 + 3*h/4 - 15/4 = 0. Calculate h.
-1, 1, 5
Let -5*l**2 - 45*l - 100 = 0. What is l?
-5, -4
Solve -5*h**5/3 - 140*h**4/3 - 275*h**3 + 750*h**2 = 0.
-15, 0, 2
Find o, given that o**3 + 128*o**2 - o - 128 = 0.
-128, -1, 1
Factor -4*x**2 - 12*x + 16.
-4*(x - 1)*(x + 4)
Factor -v**2 + 4*v - 4.
-(v - 2)**2
Factor 2*j**2/5 - 48*j/5 + 46/5.
2*(j - 23)*(j - 1)/5
Let -45*l**5 - 260*l**4 - 300*l**3 + 350*l**2 + 345*l - 90 = 0. Calculate l.
-3, -1, 2/9, 1
Find a such that 52*a**4 + 8*a**3 - 52*a**2 - 8*a = 0.
-1, -2/13, 0, 1
Factor -3*c**4 + 42*c**3.
-3*c**3*(c - 14)
What is v in v**2 + 380*v + 36100 = 0?
-190
Factor -b**4 + 68*b**3 - 1734*b**2 + 19652*b - 83521.
-(b - 17)**4
Solve -b**4/5 + 42*b**3/5 - 349*b**2/5 - 1932*b/5 - 2116/5 = 0 for b.
-2, 23
Solve -2*s**3 - 46*s**2 - 182*s + 1014 = 0.
-13, 3
Factor x**3/7 + 9*x**2/7 - 7*x + 39/7.
(x - 3)*(x - 1)*(x + 13)/7
Factor r**3/2 + 25*r**2/2 + 119*r/2 + 95/2.
(r + 1)*(r + 5)*(r + 19)/2
Let 5*v**4 - 855*v**3 + 35245*v**2 + 111795*v + 75690 = 0. What is v?
-2, -1, 87
Determine s so that 2*s**2/9 + 16*s/3 - 50/9 = 0.
-25, 1
Solve -5*h**3 - 45*h**2 - 100*h = 0 for h.
-5, -4, 0
Factor 2*o**3 - 22*o**2 - 2*o + 22.
2*(o - 11)*(o - 1)*(o + 1)
Solve y**4/4 - 16*y**3 + 405*y**2/2 + 1750*y + 6125/4 = 0 for y.
-5, -1, 35
What is s in -s**4/4 - 19*s**3/4 + 139*s**2/4 - 269*s/4 + 75/2 = 0?
-25, 1, 2, 3
Factor -1024*q**5/7 - 640*q**4 - 7344*q**3/7 - 5346*q**2/7 - 1458*q/7.
-2*q*(q + 1)*(8*q + 9)**3/7
Solve 9*y**2 + 912*y + 23104 = 0.
-152/3
Suppose 4*a**5 - 12*a**4 - 8*a**3 + 24*a**2 + 4*a - 12 = 0. What is a?
-1, 1, 3
What is l in -3*l**3/8 + 9*l**2 - 351*l/8 - 507/4 = 0?
-2, 13
Factor 2*j**4 - 12*j**3 + 18*j**2 - 8*j.
2*j*(j - 4)*(j - 1)**2
Factor 4*v**3/7 - 100*v**2/7 + 256*v/7 + 2880/7.
4*(v - 20)*(v - 9)*(v + 4)/7
Factor 2*s**4 + 6*s**3 - 18*s**2 - 54*s.
2*s*(s - 3)*(s + 3)**2
Factor r**3 - 12*r**2 + 35*r.
r*(r - 7)*(r - 5)
Determine z so that z**2/7 - 17*z/7 + 10 = 0.
7, 10
Determine i so that 5*i**2 - 15310*i + 11719805 = 0.
1531
Solve -r**3/2 + 19*r**2/2 - 19*r - 80 = 0.
-2, 5, 16
Find z, given that -3*z**4 + 3*z**3 + 75*z**2 - 111*z - 180 = 0.
-5, -1, 3, 4
Factor 4*o**4 + 8*o**3 - 4*o**2 - 8*o.
4*o*(o - 1)*(o + 1)*(o + 2)
Suppose 5*o**4/2 + 11*o**3/2 - 33*o**2/2 + 13*o/2 + 2 = 0. What is o?
-4, -1/5, 1
Let 2*z**3/3 - 26*z - 140/3 = 0. Calculate z.
-5, -2, 7
Factor -2*o**4 - 12*o**3 - 24*o**2 - 20*o - 6.
-2*(o + 1)**3*(o + 3)
Suppose -2*y**3/5 - 8*y**2/5 + 38*y/5 - 28/5 = 0. What is y?
-7, 1, 2
Solve -s**2/3 + 55*s/3 + 58 = 0.
-3, 58
Find p such that -4*p**4 + 12*p**3 + 4*p**2 - 12*p = 0.
-1, 0, 1, 3
Factor -4*q**3 + 540*q**2 - 17952*q - 18496.
-4*(q - 68)**2*(q + 1)
Solve v**3 - 69*v**2 + 324*v - 256 = 0 for v.
1, 4, 64
Factor -2*k**2/3 + 364*k/3 - 362/3.
-2*(k - 181)*(k - 1)/3
Suppose -h**5 + 228*h**4 - 12531*h**3 - 53128*h**2 - 40368*h = 0. What is h?
-3, -1, 0, 116
Factor j**2 + 136*j - 276.
(j - 2)*(j + 138)
Factor -2*k**2/17 + 38*k/17 + 84/17.
-2*(k - 21)*(k + 2)/17
Factor -4*y**3 - 36*y**2 + 120*y + 352.
-4*(y - 4)*(y + 2)*(y + 11)
Suppose 15*i**2 - 70*i - 25 = 0. What is i?
-1/3, 5
Solve -3*t**4/8 - 23*t**3/8 + 9*t**2/8 + 63*t/8 - 23/4 = 0 for t.
-23/3, -2, 1
Factor 4*g**2/5 - 196*g/5 + 376/5.
4*(g - 47)*(g - 2)/5
Solve 147*i**5/4 + 1701*i**4/4 + 1791*i**3/2 + 411*i**2 + 54*i = 0.
-9, -2, -2/7, 0
Suppose 2*k**5 - 30*k**4 + 46*k**3 + 86*k**2 - 96*k - 104 = 0. What is k?
-1, 2, 13
Factor -4*c**3 - 52*c**2 + 4*c + 52.
-4*(c - 1)*(c + 1)*(c + 13)
Suppose -10*r**2/3 + 296*r/9 + 40/9 = 0. Calculate r.
-2/15, 10
Find k, given that -5*k**5 + 10*k**3 - 5*k = 0.
-1, 0, 1
Factor -18*d**2 + 104*d + 24.
-2*(d - 6)*(9*d + 2)
Let -3*c**5/2 + 21*c**4 + 27*c**3/2 - 543*c**2 - 1542*c - 1188 = 0. Calculate c.
-2, 9, 11
Solve 3*x**3 - 1098*x**2 + 4356*x - 4344 = 0 for x.
2, 362
Solve 3*a**3 - 51*a**2 = 0 for a.
0, 17
Factor 4*h**5/3 + 8*h**4/3 - 28*h**3/3 + 16*h**2/3.
4*h**2*(h - 1)**2*(h + 4)/3
Suppose -w**2/4 - 3065*w/2 - 9394225/4 = 0. Calculate w.
-3065
Solve -u**5/2 + 15*u**4/2 - 25*u**3 + 35*u**2 - 45*u/2 + 11/2 = 0 for u.
1, 11
Find n such that -n**3 - 226*n**2 + n + 226 = 0.
-226, -1, 1
Solve 3*u**2/4 + 99*u/4 + 87 = 0.
-29, -4
Factor d**4/4 - 3*d**3/2 + 3*d**2 - 2*d.
d*(d - 2)**3/4
Factor -273*l**2 + 120*l - 12.
-3*(7*l - 2)*(13*l - 2)
Solve -y**5/2 + 5*y**4 + 6*y**3 - 5*y**2 - 11*y/2 = 0 for y.
-1, 0, 1, 11
Suppose 625974*c**2/7 + 62016*c/7 + 1536/7 = 0. What is c?
-16/323
What is h in 2*h**5 + 24*h**4 - 198*h**3 + 316*h**2 - 144*h = 0?
-18, 0, 1, 4
Find x, given that 2*x**5/7 + 192*x**4/7 + 4412*x**3/7 - 1344*x**2 + 686*x = 0.
-49, 0, 1
Determine p, given that p**3 - 7*p**2 - 8*p = 0.
-1, 0, 8
Find c such that -4*c**3 + 84*c**2 - 540*c + 972 = 0.
3, 9
Factor -2*b**4 - 94*b**3 + 196*b**2.
-2*b**2*(b - 2)*(b + 49)
Factor w**4 - 24*w**3 + 117*w**2 - 166*w + 72.
(w - 18)*(w - 4)*(w - 1)**2
Factor 2*j**3/5 + 12*j**2/5 - 2*j/5 - 12/5.
2*(j - 1)*(j + 1)*(j + 6)/5
Determine w, given that -2*w**2/9 + 16*w/9 + 32/3 = 0.
-4, 12
Let -2*u**4/7 - 530*u**3/7 + 536*u**2/7 + 152*u = 0. What is u?
-266, -1, 0, 2
Factor -3*j**3 + 894*j**2 - 65700*j - 135000.
-3*(j - 150)**2*(j + 2)
Solve 2*b**3 - 42*b**2 - 2*b + 42 = 0 for b.
-1, 1, 21
Factor -o**4/3 + 13*o**3/3 - 50*o**2/3 + 32*o/3 + 32.
-(o - 6)*(o - 4)**2*(o + 1)/3
Factor 4*u**2 + 88*u - 1632.
4*(u - 12)*(u + 34)
Find q, given that -5*q**5 + 110*q**4 + 30*q**3 - 700*q**2 + 895*q - 330 = 0.
-3, 1, 22
What is k in 6*k**3/7 - 18*k**2 - 3552*k/7 = 0?
-16, 0, 37
Suppose -30*o**5 + 1882*o**4 - 28248*o**3 - 41480*o**2 + 41472*o - 8192 = 0. What is o?
-2, 1/3, 2/5, 32
Suppose -u**4/4 - 9*u**3/4 - 13*u**2/2 - 6*u = 0. Calculate u.
-4, -3, -2, 0
Suppose 4*j**5 + 192*j**4 - 196*j**3 = 0. Calculate j.
-49, 0, 1
Factor 4*j**2/21 + 122*j/21 - 62/21.
2*(j + 31)*(2*j - 1)/21
Determine x, given that 24*x**5 - 112*x**4/5 - 54*x**3 + 8*x**2/5 + 42*x/5 - 4/5 = 0.
-1, -1/2, 1/10, 1/3, 2
Let -3*m**2 + 40776*m - 138556848 = 0. Calculate m.
6796
Determine k so that 3*k**4 + 180*k**3 + 672*k**2 = 0.
-56, -4, 0
Factor -4*q**3/9 - 8*q**2/3 + 20*q/3 - 32/9.
-4*(q - 1)**2*(q + 8)/9
Factor -2*c**4 + 18*c**3 + 6*c**2 - 50*c - 36.
-2*(c - 9)*(c - 2)*(c + 1)**2
Factor -49*a**4/4 - 7*a**3 + 132*a**2 - 144*a.
-a*(a + 4)*(7*a - 12)**2/4
Factor -2*f**5/5 + 2*f**3/5.
-2*f**3*(f - 1)*(f + 1)/5
Solve 105*f**5 + 395*f**4 - 365*f**3 - 1095*f**2 - 40*f + 400 = 0 for f.
-4, -1, 4/7, 5/3
Determine s so that s**5/12 + 23*s**4/12 - 2*s**3 = 0.
-24, 0, 1
Factor l**3/4 + 213*l**2/4.
l**2*(l + 213)/4
Find y such that 2*y**2/23 + 8*y/23 = 0.
-4, 0
Suppose 2*i**4/9 - 26*i**3/9 - 10*i**2 + 42*i + 120 = 0. What is i?
-3, 4, 15
Suppose 2*r**3 + 4*r**2 - 58*r - 60 = 0. Calculate r.
-6, -1, 5
Factor -3*q**5 + 12*q**4 - 48*q**2 + 48*q.
-3*q*(q - 2)**3*(q + 2)
Factor s**3/7 - 3667*s**2/7 + 3363555*s/7 - 3359889/7.
(s - 1833)**2*(s - 1)/7
Factor -4*r**2 + 64*r - 60.
-4*(r - 15)*(r - 1)
What is g in -4*g**2 + 45368*g - 128640964 = 0?
5671
Factor 2*i**2 + 12*i - 494.
2*(i - 13)*(i + 19)
Let 2*p**3/5 + 2*p**2/5 - 962*p/5 - 1690 = 0. What is p?
-13, 25
Solve -7*k**5/3 + 5*k**4/3 + 3*k**3 - 5*k**2/3 - 2*k/3 = 0.
-1, -2/7, 0, 1
Factor 2*q**2/5 - 24*q/5.
2*q*(q - 12)/5
Find f, given that -14*f**2 + 34*f/3 + 8/3 = 0.
-4/21, 1
Factor -3*m**2/5 + 228*m/5 - 444/5.
-3*(m - 74)*(m - 2)/5
Factor 2*s**2/5 - 4*s/5 - 6.
2*(s - 5)*(s + 3)/5
Solve -3*o**4 - 192*o**3 - 3420*o**2 - 10800*o = 0 for o.
-30, -4, 0
What is u in -3*u**2 + 393*u - 390 = 0?
1, 130
Determine g so that 2*g**4/13 + 18*g**3/13 - 66*g**2/13 + 70*g/13 - 24/13 = 0.
-12, 1
Determine v so that v**3 - 14*v**2 + 49*v = 0.
0, 7
Determine x so that 2*x**4/9 + 166*x**3/9 - 1414*