t 2*r**5/7 + 54*r**4/7 - 122*r**3/7 - 174*r**2/7 = 0. What is r?
-29, -1, 0, 3
Let -2*z**3/5 - 102*z**2 = 0. What is z?
-255, 0
Factor 4*d**5 + 8*d**4 - 188*d**3 + 528*d**2 - 432*d.
4*d*(d - 3)*(d - 2)**2*(d + 9)
Determine d, given that -4*d**5 - 8*d**4 + 12*d**3 = 0.
-3, 0, 1
Determine a so that -4*a**2 + 3032*a/7 - 864/7 = 0.
2/7, 108
Factor -2*n**3/7 + 26*n**2/7 - 96*n/7 + 72/7.
-2*(n - 6)**2*(n - 1)/7
Solve 24*o**2 - 93*o - 12 = 0.
-1/8, 4
Factor 2*s**3/7 - 52*s**2/7 - 78*s/7 + 648/7.
2*(s - 27)*(s - 3)*(s + 4)/7
Let 5*f**3 - 60*f**2 - 140*f = 0. What is f?
-2, 0, 14
Let 5*h**4 - 15*h**3 + 20*h = 0. Calculate h.
-1, 0, 2
Solve -2*c**5/5 - 12*c**4/5 + 6*c**3 + 304*c**2/5 + 96*c = 0.
-4, -3, 0, 5
Factor 507*q**5 + 30732*q**4 + 475068*q**3 + 283680*q**2 + 43200*q.
3*q*(q + 30)**2*(13*q + 4)**2
Determine f, given that 15*f**5 - 12*f**4 - 78*f**3 - 60*f**2 - 9*f = 0.
-1, -1/5, 0, 3
Let -4*d**4 + 84*d**3 - 148*d**2 - 84*d + 152 = 0. Calculate d.
-1, 1, 2, 19
Suppose -13*p**2/5 - 158*p/5 - 24/5 = 0. What is p?
-12, -2/13
Suppose -2*j**5 + 32*j**4 - 112*j**3 - 128*j**2 + 480*j = 0. What is j?
-2, 0, 2, 6, 10
Suppose 2*z**5/11 - 2*z**4 + 78*z**3/11 - 90*z**2/11 = 0. What is z?
0, 3, 5
Determine p, given that 2*p**4/23 - 16*p**3/23 - 18*p**2/23 = 0.
-1, 0, 9
Find t such that 7*t**4/5 - 13*t**3 + 11*t**2/5 + 13*t - 18/5 = 0.
-1, 2/7, 1, 9
Determine f, given that 2*f**4 - 10*f**3 + 16*f**2 - 8*f = 0.
0, 1, 2
Factor 5*f**5 + 5*f**4 - 5*f**3 - 5*f**2.
5*f**2*(f - 1)*(f + 1)**2
Factor 2*y**4/23 + 10*y**3/23 + 18*y**2/23 + 14*y/23 + 4/23.
2*(y + 1)**3*(y + 2)/23
Suppose -3*j**5 + 17*j**4/2 - 5*j**3/2 - 15*j**2/2 + 11*j/2 - 1 = 0. What is j?
-1, 1/3, 1/2, 1, 2
Factor -j**2/7 - 19*j - 132/7.
-(j + 1)*(j + 132)/7
Factor 8*a**2 - 1084*a + 540.
4*(a - 135)*(2*a - 1)
Determine c so that 2*c**5 - 33*c**4 + 109*c**3 + 225*c**2 + 81*c = 0.
-1, -1/2, 0, 9
Factor -2*i**5/19 + 14*i**4/19 - 2*i**3 + 50*i**2/19 - 32*i/19 + 8/19.
-2*(i - 2)**2*(i - 1)**3/19
Suppose -25*y**2 - 340*y - 1075 = 0. What is y?
-43/5, -5
Factor 3*b**4 - 105*b**3 - 582*b**2 - 720*b.
3*b*(b - 40)*(b + 2)*(b + 3)
Suppose 4*s**4 - 96*s**3 - 4836*s**2 - 35056*s + 39984 = 0. Calculate s.
-14, 1, 51
Factor -2*d**2/9 - 74*d/9 + 76/9.
-2*(d - 1)*(d + 38)/9
Suppose 3*q**2 + 42*q + 39 = 0. Calculate q.
-13, -1
Factor 7*u**4/6 - 37*u**3/6 + 11*u**2 - 22*u/3 + 4/3.
(u - 2)**2*(u - 1)*(7*u - 2)/6
Let 4*m**2 + 1112*m = 0. What is m?
-278, 0
Factor -5*c**3 + 640*c**2 - 19825*c - 42250.
-5*(c - 65)**2*(c + 2)
Determine b so that -5*b**2 - 535*b - 2060 = 0.
-103, -4
Factor -2*v**4 + 30*v**3 - 54*v**2 + 26*v.
-2*v*(v - 13)*(v - 1)**2
Find l, given that 2*l**3/7 + 6*l**2/7 = 0.
-3, 0
Solve -12*g**5 + 76*g**4 - 132*g**3 + 84*g**2 - 16*g = 0 for g.
0, 1/3, 1, 4
Solve j**3/4 - 3*j**2/2 - 37*j/4 + 105/2 = 0.
-6, 5, 7
Factor 3*r**3/2 + 47*r**2/2 + 36*r + 14.
(r + 1)*(r + 14)*(3*r + 2)/2
Determine u, given that -5*u**4 - 110*u**3 - 100*u**2 + 110*u + 105 = 0.
-21, -1, 1
Factor 4*b**2 + 872*b + 47524.
4*(b + 109)**2
Solve 2*w**5 + 34*w**4 + 210*w**3 + 550*w**2 + 500*w = 0 for w.
-5, -2, 0
Factor -4*l**4 - 16*l**3 + 8*l**2 + 48*l - 36.
-4*(l - 1)**2*(l + 3)**2
Determine v so that -3*v**2/5 - 414*v/5 = 0.
-138, 0
Solve -h**4/3 + h**3/3 + 4*h**2/3 - 4*h/3 = 0.
-2, 0, 1, 2
Determine l, given that l**4/6 - l**3/3 - 65*l**2/6 - 25*l = 0.
-5, -3, 0, 10
Factor -5*q**2 - 13380*q - 8951220.
-5*(q + 1338)**2
Determine l so that l**4 + 542*l**3 + 74517*l**2 + 291596*l + 289444 = 0.
-269, -2
Solve -5*x**3 + 115*x**2 - 635*x + 525 = 0.
1, 7, 15
Determine n so that 4*n**4 + 48*n**3 + 116*n**2 + 72*n = 0.
-9, -2, -1, 0
Determine k, given that -k**4/5 + 28*k**3/5 - 27*k**2/5 = 0.
0, 1, 27
Factor -q**3 + 129*q**2 - 380*q + 252.
-(q - 126)*(q - 2)*(q - 1)
Find x such that 2*x**4 + 584*x**3 + 44904*x**2 + 331712*x + 645248 = 0.
-142, -4
Find o such that 6*o**4 - 10*o**3 - 38*o**2 - 22*o = 0.
-1, 0, 11/3
Determine x, given that 2*x**4/9 + 8*x**3 + 190*x**2/3 + 1300*x/9 = 0.
-26, -5, 0
Solve -2*h**5/21 + 22*h**4/21 - 74*h**3/21 + 6*h**2/7 + 108*h/7 - 144/7 = 0.
-2, 3, 4
Let k**5/3 - 7*k**4/3 + 13*k**3/3 - k**2/3 - 14*k/3 + 8/3 = 0. Calculate k.
-1, 1, 2, 4
Factor w**2/2 - 85*w/2 + 42.
(w - 84)*(w - 1)/2
Factor -3*w**2 + 351*w - 348.
-3*(w - 116)*(w - 1)
Find o, given that -7*o**2 - 5283*o + 1510 = 0.
-755, 2/7
What is w in 2*w**5 - 42*w**4 + 234*w**3 - 350*w**2 + 156*w = 0?
0, 1, 6, 13
Factor 116*f**2 - 244*f + 24.
4*(f - 2)*(29*f - 3)
What is a in a**4 - 30*a**3 + 121*a**2 + 120*a - 500 = 0?
-2, 2, 5, 25
Factor -2*s**3 + 64*s**2 - 278*s + 216.
-2*(s - 27)*(s - 4)*(s - 1)
Factor l**3/4 - l**2/2 - 3*l/4.
l*(l - 3)*(l + 1)/4
Suppose 5*k**5 + 195*k**4 - 830*k**3 + 1270*k**2 - 855*k + 215 = 0. What is k?
-43, 1
Factor 5*k**3 - 35*k**2 + 180.
5*(k - 6)*(k - 3)*(k + 2)
Let -2*i**3 + 98*i**2 = 0. What is i?
0, 49
Factor 4*n**5/5 - 304*n**4/5 + 504*n**3 - 7344*n**2/5 + 7236*n/5.
4*n*(n - 67)*(n - 3)**3/5
Determine j, given that -8*j**5/3 - 68*j**4 - 368*j**3/3 + 692*j**2 - 920*j/3 = 0.
-23, -5, 0, 1/2, 2
Factor 4*z**2 - 340*z + 664.
4*(z - 83)*(z - 2)
Factor 2*y**3/7 - 4*y**2/7 - 128*y/7 - 320/7.
2*(y - 10)*(y + 4)**2/7
Let -l**4 + 9*l**3 = 0. Calculate l.
0, 9
Suppose j**3/5 - 8*j**2/5 - 61*j/5 - 52/5 = 0. Calculate j.
-4, -1, 13
Find r such that -5*r**3 - 95*r**2 + 1710*r + 1800 = 0.
-30, -1, 12
Factor 4*y**3/5 - 484*y**2/5 + 1884*y/5 - 1404/5.
4*(y - 117)*(y - 3)*(y - 1)/5
Factor 4*g**3 + 40*g**2 + 132*g + 144.
4*(g + 3)**2*(g + 4)
Factor m**2/4 + 985*m/4.
m*(m + 985)/4
Factor -t**4 - 99*t**3 - 2394*t**2 + 3100*t + 15000.
-(t - 3)*(t + 2)*(t + 50)**2
Determine k so that 5*k**2 - 3120*k + 486720 = 0.
312
Factor -18*r**4/13 + 76*r**3/13 - 88*r**2/13 + 16*r/13.
-2*r*(r - 2)**2*(9*r - 2)/13
Factor -p**3/8 - p**2/8 + 7*p/4 + 3.
-(p - 4)*(p + 2)*(p + 3)/8
Factor p**5/5 + p**4/5 - 7*p**3/5 - 13*p**2/5 - 6*p/5.
p*(p - 3)*(p + 1)**2*(p + 2)/5
Factor 96*v**4 + 80*v**3 - 1150*v**2/3 - 500*v/3 + 1250/3.
2*(3*v + 5)**2*(4*v - 5)**2/3
Determine n so that -364*n**2 - 1818*n + 10 = 0.
-5, 1/182
What is b in 2*b**4 - 24*b**3 + 58*b**2 - 36*b = 0?
0, 1, 2, 9
Find x such that -x**3/5 + 84*x**2/5 + 532*x/5 + 144 = 0.
-4, -2, 90
Let 8*x**5 + 28*x**4 + 36*x**3 + 20*x**2 + 4*x = 0. Calculate x.
-1, -1/2, 0
Suppose -d**4 - 12*d**3 + 45*d**2 = 0. What is d?
-15, 0, 3
Factor 2*g**4 + 68*g**3 + 130*g**2 + 64*g.
2*g*(g + 1)**2*(g + 32)
Factor 2*p**2 + 10*p - 48.
2*(p - 3)*(p + 8)
Factor -5*q**2/4 - 10*q - 20.
-5*(q + 4)**2/4
What is s in -4*s**4 - 140*s**3 - 816*s**2 + 7360*s - 6400 = 0?
-20, 1, 4
Find t, given that 4*t**2 - 588*t - 3672 = 0.
-6, 153
Factor -4*z**3 + 3076*z**2 - 592896*z + 589824.
-4*(z - 384)**2*(z - 1)
Determine i, given that -5*i**3 - 22560*i**2 - 25470225*i - 50850250 = 0.
-2255, -2
Let -2*h**4 + 30*h**3 - 58*h**2 - 414*h - 324 = 0. What is h?
-2, -1, 9
Suppose u**2/2 + 19*u/2 - 165 = 0. What is u?
-30, 11
Determine j so that -77*j**3/5 + 531*j**2/5 + 12*j - 28/5 = 0.
-2/7, 2/11, 7
Determine m, given that -5*m**3 + 1475*m**2 + 1480*m = 0.
-1, 0, 296
Find m, given that -2*m**5 + 38*m**3 + 4*m**2 - 96*m - 64 = 0.
-4, -1, 2, 4
Factor -16*n**3/9 - 44*n**2/9 - 20*n/9 + 8/9.
-4*(n + 1)*(n + 2)*(4*n - 1)/9
Factor -10*f**3/3 - 8*f**2/3 + 18*f - 12.
-2*(f - 1)*(f + 3)*(5*f - 6)/3
Factor -5*v**4 - 40*v**3 + 165*v**2.
-5*v**2*(v - 3)*(v + 11)
Factor c**3 - 14*c**2 - 68*c - 72.
(c - 18)*(c + 2)**2
Determine t, given that 35*t**2 + 201400*t + 57540 = 0.
-5754, -2/7
Factor -175*s**3 + 515*s**2 - 350*s + 40.
-5*(s - 2)*(5*s - 4)*(7*s - 1)
Factor s**5/5 + 9*s**4/5 - 48*s**3/5 + 52*s**2/5.
s**2*(s - 2)**2*(s + 13)/5
Factor -5*b**2 - 115*b.
-5*b*(b + 23)
Factor 3*z**2 + 9*z - 30.
3*(z - 2)*(z + 5)
Determine c, given that -c**5 + 6*c**4 + 7*c**3 = 0.
-1, 0, 7
What is a in -a**3/9 - 17*a**2/9 + 80*a/9 - 28/3 = 0?
-21, 2
Solve 5*g**5 + 85*g**4 + 475*g**3 + 1175*g**2 + 1320*g + 540 = 0.
-9, -3, -2, -1
What is j in j**5 + 14*j**4 + 61*j**3 + 84*j**2 + 36*j = 0?
-6, -1, 0
Suppose -2*g**2/5 - 12*g/5 + 54/5 = 0. What is g?
-9, 3
Suppose -i**4/2 - 479*i**3/2 - 2377*i**2/2 - 3321*i/2 - 711 = 0. Calculate i.
-474, -3, -1
Let -2*q**2/11 + 120*q/11 + 122/11 = 0. Calculate q.
-1, 61
Factor -8*c**3 + 1996*c**2 - 125984*c + 184512.
-4*(c - 124)**2*(2*c - 3)
Factor a**3 - 126*a**2.
