6*q**4/3 + 4*q**3 + 24*q**2.
-4*q**2*(q - 2)*(q + 3)**2/3
Suppose -2*g**4/3 + 14*g**3 - 26*g**2 + 38*g/3 = 0. What is g?
0, 1, 19
Let -25*m**4/7 + 180*m**3/7 - 2*m**2 - 156*m/7 + 9 = 0. What is m?
-1, 3/5, 7
Factor -3*f**2 - 363*f + 3930.
-3*(f - 10)*(f + 131)
Determine c so that -25*c**4 + 35*c**3 + 5*c**2 - 15*c = 0.
-3/5, 0, 1
Factor -2*c**2/13 + 1324*c/13.
-2*c*(c - 662)/13
Factor -z**3 + z**2 + 81*z - 81.
-(z - 9)*(z - 1)*(z + 9)
Factor 2*l**2/5 + 164*l - 1648/5.
2*(l - 2)*(l + 412)/5
Let y**4 + 13*y**3 - y**2 - 13*y = 0. Calculate y.
-13, -1, 0, 1
Factor -5*k**3/2 - 1920*k**2 - 741105*k/2 - 733445.
-5*(k + 2)*(k + 383)**2/2
Find x such that 7*x**4 + 104*x**3 - 660*x**2 + 1168*x - 640 = 0.
-20, 8/7, 2
Let -5*n**4 - 55*n**3 - 85*n**2 + 355*n - 210 = 0. What is n?
-7, -6, 1
Determine t so that 2*t**2/11 + 494*t/11 - 1500/11 = 0.
-250, 3
Factor -u**4 - 12*u**3 - 11*u**2.
-u**2*(u + 1)*(u + 11)
Let -2*s**2/5 - 2328*s/5 - 677448/5 = 0. What is s?
-582
Solve 5*n**5 - 55*n**4 + 165*n**3 - 65*n**2 - 170*n + 120 = 0 for n.
-1, 1, 4, 6
Factor -3*l**3 + 546*l**2 + 549*l.
-3*l*(l - 183)*(l + 1)
Factor -m**3 - 74*m**2 + 231*m.
-m*(m - 3)*(m + 77)
Let -42*j**4 + 184*j**3 - 224*j**2 + 32*j + 32 = 0. What is j?
-2/7, 2/3, 2
Factor -4*f**3 - 8*f**2 + 16*f + 32.
-4*(f - 2)*(f + 2)**2
Determine t so that t**3/3 - 4*t**2/3 - t/3 + 4/3 = 0.
-1, 1, 4
Solve -n**2 + 83*n - 82 = 0 for n.
1, 82
Suppose -3*m**4 + 60*m**3 + 126*m**2 - 1188*m - 2835 = 0. Calculate m.
-3, 5, 21
Suppose -2*p**4/13 + 206*p**3/13 - 6414*p**2/13 + 54810*p/13 - 48600/13 = 0. Calculate p.
1, 12, 45
Factor -2*l**2/3 + 10*l/3 + 100/3.
-2*(l - 10)*(l + 5)/3
Find a such that a**5/4 - 2*a**4 + 9*a**3/2 - 27*a/4 = 0.
-1, 0, 3
Determine a so that a**2 - 27*a + 92 = 0.
4, 23
Factor t**3 + 15*t**2 + 32*t - 48.
(t - 1)*(t + 4)*(t + 12)
Suppose -2*a**5/17 - 12*a**4/17 - 16*a**3/17 + 4*a**2/17 + 18*a/17 + 8/17 = 0. What is a?
-4, -1, 1
Factor -4*f**3 + 1356*f**2 - 118236*f + 557780.
-4*(f - 167)**2*(f - 5)
Determine k so that 5*k**2 - 1990*k + 198005 = 0.
199
Factor c**5/8 - 23*c**4/4 + 303*c**3/4 - 34*c**2 - 29767*c/8 + 14739/4.
(c - 17)**3*(c - 1)*(c + 6)/8
Suppose -2*l**2/5 + 2*l/5 + 144/5 = 0. Calculate l.
-8, 9
Let -5*w**4 + 85*w**3 + 15*w**2 - 4565*w + 8470 = 0. What is w?
-7, 2, 11
Factor 37845*t**3 + 38570*t**2 + 4140*t - 3240.
5*(9*t - 2)*(29*t + 18)**2
Factor -m**2/5 + 86*m/5 - 1849/5.
-(m - 43)**2/5
What is y in 5*y**4 - 160*y**3 + 1555*y**2 - 4340*y + 2940 = 0?
1, 3, 14
Factor 3*c**2/8 + 249*c/4 - 501/8.
3*(c - 1)*(c + 167)/8
Factor f**2/7 + 9*f/7 - 90/7.
(f - 6)*(f + 15)/7
Factor 4*j**3 + 304*j**2 + 2372*j - 2680.
4*(j - 1)*(j + 10)*(j + 67)
Factor 2*q**2/3 - 13684*q/3 + 23406482/3.
2*(q - 3421)**2/3
Solve -f**3/3 - 313*f**2/3 - 8216*f - 8112 = 0 for f.
-156, -1
Solve 5*s**5 - 310*s**4 + 4145*s**3 + 20460*s**2 + 21780*s = 0.
-2, 0, 33
Suppose 7*d**4 + 93*d**3 + 236*d**2 + 60*d = 0. What is d?
-10, -3, -2/7, 0
Solve 2*d**5/7 - 4*d**4/7 - 4*d**3/7 + 16*d**2/7 - 2*d + 4/7 = 0.
-2, 1
Factor 3*j**2/5 + 312*j/5 + 8112/5.
3*(j + 52)**2/5
Factor -w**4/4 + 175*w**3/2 - 31993*w**2/4 + 59850*w - 116964.
-(w - 171)**2*(w - 4)**2/4
Factor s**5 - 61*s**4.
s**4*(s - 61)
Find y such that 2*y**5/15 - 4*y**4/3 - 4*y**3/15 + 256*y**2/15 + 434*y/15 + 196/15 = 0.
-2, -1, 7
Solve 8*m**5 - 94*m**4 + 216*m**3 - 164*m**2 + 16*m + 18 = 0 for m.
-1/4, 1, 9
Let -8*n**2/13 + 5762*n/13 - 1440/13 = 0. What is n?
1/4, 720
Factor 20*p**5 + 192*p**4 + 640*p**3 + 832*p**2 + 192*p - 256.
4*(p + 2)**3*(p + 4)*(5*p - 2)
Solve -12*q**2 - 16*q + 220 = 0 for q.
-5, 11/3
Factor -5*q**3 + 200*q**2.
-5*q**2*(q - 40)
Factor -2*u**3/17 - 42*u**2/17 + 18*u + 442.
-2*(u - 13)*(u + 17)**2/17
Find t, given that -9*t**3 - 56*t**2 - 116*t - 80 = 0.
-20/9, -2
Factor w**3/3 + 1309*w**2/3 - 1312*w/3 - 2620/3.
(w - 2)*(w + 1)*(w + 1310)/3
Find c, given that -2*c**2/13 - 232*c/13 = 0.
-116, 0
Factor 3*j**3/5 - 342*j**2/5 + 9747*j/5.
3*j*(j - 57)**2/5
Factor -5*o**4 - 80*o**3 + 20*o**2 + 320*o.
-5*o*(o - 2)*(o + 2)*(o + 16)
Factor 2*s**5/17 + 1168*s**4/17 + 171692*s**3/17 + 339888*s**2/17 + 169362*s/17.
2*s*(s + 1)**2*(s + 291)**2/17
Determine u, given that -10*u**4 + 64*u**3 - 134*u**2 + 104*u - 24 = 0.
2/5, 1, 2, 3
Find p such that 2*p**2/3 + 52*p/3 + 50/3 = 0.
-25, -1
Let -12*x**5 - 8*x**4 + 184*x**3 - 336*x**2 + 212*x - 40 = 0. What is x?
-5, 1/3, 1, 2
Determine o, given that 4*o**4 + 184*o**3 + 2292*o**2 + 4048*o + 1936 = 0.
-22, -1
Let 9*y**5 + 120*y**4 + 325*y**3 + 250*y**2 = 0. Calculate y.
-10, -5/3, 0
Factor -15*p**3 - 12*p**2 + 3*p.
-3*p*(p + 1)*(5*p - 1)
Factor y**3 - 317*y**2 + 25591*y - 73947.
(y - 157)**2*(y - 3)
Determine v, given that -3*v**4/5 - 24*v**3/5 - 48*v**2/5 = 0.
-4, 0
Factor -n**3 - 78*n**2 - 300*n - 296.
-(n + 2)**2*(n + 74)
Factor -4*u**5 + 180*u**4 - 2684*u**3 + 12780*u**2 + 10800*u - 54000.
-4*(u - 15)**3*(u - 2)*(u + 2)
What is b in 68*b**4 + 280*b**3 + 236*b**2 + 24*b = 0?
-3, -1, -2/17, 0
What is b in -b**4/2 - 13*b**3 - 169*b**2/2 - 72*b = 0?
-16, -9, -1, 0
Find s, given that 3*s**2 + 2538*s + 536787 = 0.
-423
Factor -t**3/7 + 19*t**2/7 - 50*t/7 + 32/7.
-(t - 16)*(t - 2)*(t - 1)/7
Factor -3*n**2 + 132*n - 129.
-3*(n - 43)*(n - 1)
What is v in 5*v**2 - 25*v - 30 = 0?
-1, 6
Factor o**4 - 10*o**3 + 24*o**2 + 10*o - 25.
(o - 5)**2*(o - 1)*(o + 1)
Factor -w**5/4 + 3*w**4/2 - 5*w**3/4.
-w**3*(w - 5)*(w - 1)/4
Suppose 4*y**5 - 183*y**4 + 2627*y**3 - 8848*y**2 - 46848*y + 53248 = 0. What is y?
-13/4, 1, 16
Factor 2*p**4/9 - 6*p**3 + 154*p**2/3 - 1210*p/9.
2*p*(p - 11)**2*(p - 5)/9
Solve 5*q**4 + 10*q**3 - 95*q**2 - 160*q + 240 = 0 for q.
-4, -3, 1, 4
Factor 2*p**2/13 - 12*p/13.
2*p*(p - 6)/13
Solve -2*z**5 - 20*z**4 - 34*z**3 + 56*z**2 = 0 for z.
-7, -4, 0, 1
Solve -2*p**2/3 + 538*p/3 + 2248 = 0 for p.
-12, 281
Factor 3*c**2/4 + 27*c/4 + 21/2.
3*(c + 2)*(c + 7)/4
Find u such that 93*u**2/5 - 94*u/5 + 1/5 = 0.
1/93, 1
Factor -2*c**4 + 34*c**3 - 162*c**2 + 14*c + 980.
-2*(c - 7)**2*(c - 5)*(c + 2)
Solve n**2/11 - 54*n/11 - 5 = 0 for n.
-1, 55
Determine z so that -2*z**2/5 - 176*z/5 + 2626/5 = 0.
-101, 13
Factor m**2/6 + 13*m/6 + 2.
(m + 1)*(m + 12)/6
Factor 4*p**2 + 76*p + 136.
4*(p + 2)*(p + 17)
Solve -160*s**5 - 640*s**4 - 930*s**3 - 585*s**2 - 135*s = 0 for s.
-3/2, -1, -3/4, 0
Suppose l**2 + 5*l + 4 = 0. What is l?
-4, -1
What is b in -8*b**2 - 66*b - 100 = 0?
-25/4, -2
Factor 5*q**3 - 90*q**2 + 360*q.
5*q*(q - 12)*(q - 6)
Factor 3*i**2 + 9*i - 12.
3*(i - 1)*(i + 4)
Solve 25*k**3 + 820*k**2 - 1011*k + 306 = 0 for k.
-34, 3/5
Factor -4*h**4 + 252*h**3 + 2484*h**2 + 7668*h + 7776.
-4*(h - 72)*(h + 3)**3
Factor -3*q**2/4 - 453*q/2 + 909/4.
-3*(q - 1)*(q + 303)/4
Factor -2*s**5/13 + 22*s**4/13 + 50*s**3/13 + 2*s**2.
-2*s**2*(s - 13)*(s + 1)**2/13
Factor j**5/2 + 5*j**4/2 + j**3 - 4*j**2.
j**2*(j - 1)*(j + 2)*(j + 4)/2
Determine p so that -p**2/6 + p/6 + 1/3 = 0.
-1, 2
What is z in -4*z**5/23 - 6*z**4/23 + 232*z**3/23 - 330*z**2/23 + 108*z/23 = 0?
-9, 0, 1/2, 1, 6
Factor -3*x**3/4 - 1158*x**2 - 1783311*x/4 + 1792587/2.
-3*(x - 2)*(x + 773)**2/4
Find o, given that -38*o**5/3 + 64*o**4 - 314*o**3/3 + 56*o**2 - 8*o/3 = 0.
0, 1/19, 1, 2
Solve 4*y**2 - 4*y = 0 for y.
0, 1
Determine t, given that -4*t**3 + 2352*t**2 + 4*t - 2352 = 0.
-1, 1, 588
Factor o**3 - 4*o**2 + o + 6.
(o - 3)*(o - 2)*(o + 1)
Let a**4 - a**3 - 16*a**2 - 20*a = 0. What is a?
-2, 0, 5
Factor 5*s**4 + 55*s**3 - 125*s**2 + 65*s.
5*s*(s - 1)**2*(s + 13)
Factor 4*o**3 - 20*o**2 + 16*o.
4*o*(o - 4)*(o - 1)
Determine d, given that -5*d**3 + 1365*d**2 - 5400*d + 5380 = 0.
2, 269
Factor 4*z**3 - 7080*z**2 + 4177200*z - 821516000.
4*(z - 590)**3
Suppose 80*r**5 + 840*r**4 + 285*r**3 - 9820*r**2 + 12705*r - 4410 = 0. What is r?
-7, 3/4, 2
Find x such that 50*x**4/9 - 1010*x**3/9 - 832*x**2/9 - 56*x/3 = 0.
-2/5, 0, 21
Let -5*a**3 + 3505*a**2 + 14080*a + 14100 = 0. Calculate a.
-2, 705
Let p**2/7 + 43*p/7 = 0. What is p?
-43, 0
Solve -5*z**3 - 30*z**2 + 425*z - 390 = 0.
-13, 1, 6
Factor -a**3/4 + 5*a**2/4 + 7*a/2.
-a*(a - 7)*(a + 2)/4
Let 3*j**5/4 + 3*j**4/4 - 33*j**3/4 + 21*j**2/4 + 15*j/2 - 6 = 0. Calculate j.
-4, -1, 1, 2
Factor -k**4/5 + 7*k**3 - 288*k**2/5 - 324*k/5.
-k*(k - 18)**2*(k + 1)/5
Solve -2*n**3 - 80*n**2 - 650*n - 1500 = 0.
-30, -5
Find b, given tha