*(c + 2)*(c + 14)/7
Factor 2*n**4/9 - 16*n**3/9 - 50*n**2/9 + 400*n/9.
2*n*(n - 8)*(n - 5)*(n + 5)/9
Find l such that -2*l**4/3 + 20*l**3/9 + 32*l**2/9 - 64*l/9 = 0.
-2, 0, 4/3, 4
Factor -2*x**4 - 2*x**3 + 4*x**2.
-2*x**2*(x - 1)*(x + 2)
Factor 3*c**2 + 117*c + 114.
3*(c + 1)*(c + 38)
Factor 7*a**2/2 - 636*a - 182.
(a - 182)*(7*a + 2)/2
Factor n**2 - 874*n + 190969.
(n - 437)**2
Determine z, given that -21*z**2 - 1185*z + 1206 = 0.
-402/7, 1
Suppose 7*g**3/8 + 89*g**2/8 - 31*g/2 + 7/2 = 0. Calculate g.
-14, 2/7, 1
What is n in n**2/2 - 1756*n + 1541768 = 0?
1756
Solve 12*y**4 - 292*y**3 + 636*y**2 - 444*y + 88 = 0.
1/3, 1, 22
Determine b, given that b**4/4 - 9*b**3/8 + 7*b**2/4 - 9*b/8 + 1/4 = 0.
1/2, 1, 2
Factor -4*h**3 - 36*h**2 - 56*h + 96.
-4*(h - 1)*(h + 4)*(h + 6)
Solve 5*i**2 + 130*i + 845 = 0 for i.
-13
Factor 3*z**2 - 204*z + 201.
3*(z - 67)*(z - 1)
Determine h so that -2*h**2 + 104*h + 570 = 0.
-5, 57
Let 2*z**2 - 2248*z + 631688 = 0. Calculate z.
562
Determine l, given that -2*l**2 + 38*l - 176 = 0.
8, 11
Factor -q**3/3 - 19*q**2/3 - 119*q/3 - 245/3.
-(q + 5)*(q + 7)**2/3
Find n such that 3*n**4 + 2628*n**3 - 2634*n**2 - 2628*n + 2631 = 0.
-877, -1, 1
Determine v so that -6*v**5/7 - 159*v**4 + 3942*v**3/7 - 5088*v**2/7 + 2832*v/7 - 81 = 0.
-189, 1/2, 1
Factor -2*k**2/7 - 38*k/7 - 68/7.
-2*(k + 2)*(k + 17)/7
Factor q**4/7 + 8*q**3/7 + 13*q**2/7 + 6*q/7.
q*(q + 1)**2*(q + 6)/7
Suppose -b**2/3 - 4*b/3 = 0. What is b?
-4, 0
Factor 8*i**3/3 - 2*i**2 - 8*i/3 + 2.
2*(i - 1)*(i + 1)*(4*i - 3)/3
Find y, given that -y**3/3 + 715*y**2/3 + 1433*y/3 + 239 = 0.
-1, 717
Solve 2*v**3/7 + 692*v**2/7 + 59858*v/7 = 0.
-173, 0
Suppose 156*a**2 + 50*a + 4 = 0. What is a?
-1/6, -2/13
Factor -2*k**2/7 + 788*k/7 + 790/7.
-2*(k - 395)*(k + 1)/7
Factor 25*q**3 - 120*q**2 + 125*q + 30.
5*(q - 3)*(q - 2)*(5*q + 1)
Factor -3907494*n**2 + 4842*n - 3/2.
-3*(1614*n - 1)**2/2
Factor -2*x**3/3 + 92*x**2 + 842*x/3 + 188.
-2*(x - 141)*(x + 1)*(x + 2)/3
Factor 48*v**2 - 99*v/2 + 3/2.
3*(v - 1)*(32*v - 1)/2
Factor k**2/5 - 269*k/5 + 268/5.
(k - 268)*(k - 1)/5
Suppose -2*l**3/9 + 10*l**2 + 128*l/3 + 392/9 = 0. What is l?
-2, 49
Solve 44*l**4 - 3276*l**3 - 5144*l**2 - 1824*l = 0 for l.
-1, -6/11, 0, 76
Determine f, given that f**2/2 + 13*f/2 - 15 = 0.
-15, 2
Factor -9*r**2/5 - 438*r/5 + 147/5.
-3*(r + 49)*(3*r - 1)/5
Find d, given that 2*d**4/13 - 34*d**3/13 - 6*d**2 + 34*d/13 + 76/13 = 0.
-2, -1, 1, 19
Factor -2*x**2/5 + 452*x/5 + 912/5.
-2*(x - 228)*(x + 2)/5
Factor 4*u**2 + 68*u + 120.
4*(u + 2)*(u + 15)
Factor -u**3/4 + 7*u**2/2 + u/4 - 7/2.
-(u - 14)*(u - 1)*(u + 1)/4
Find o such that -o**2 - 101*o - 100 = 0.
-100, -1
Factor -5*g**3 + 20*g**2 - 25*g + 10.
-5*(g - 2)*(g - 1)**2
Factor -2*a**3/5 + 368*a**2/5 - 16168*a/5 - 70688/5.
-2*(a - 94)**2*(a + 4)/5
Factor -4*n**3 - 292*n**2 + 14400*n - 141264.
-4*(n - 18)**2*(n + 109)
Determine k, given that -k**3 + 3298*k**2 - 2719201*k = 0.
0, 1649
Determine x, given that -5*x**4 - 312*x**3 + 191*x**2 + 126*x = 0.
-63, -2/5, 0, 1
Factor -2*y**4 + 92*y**3 - 480*y**2.
-2*y**2*(y - 40)*(y - 6)
Solve -3*r**2/8 + 9*r/2 - 33/8 = 0 for r.
1, 11
Let 2*w**2/7 - 24*w/7 + 40/7 = 0. Calculate w.
2, 10
Determine o, given that 4*o**2 - 156*o - 1728 = 0.
-9, 48
Suppose -8*m**3 + 160*m**2 - 714*m - 882 = 0. What is m?
-1, 21/2
Determine b so that 4*b**3 + 208*b**2 + 1972*b - 20184 = 0.
-29, 6
Solve -2*s**5/19 + 10*s**4/19 + 88*s**3/19 + 128*s**2/19 - 64*s/19 - 160/19 = 0 for s.
-2, 1, 10
Find p, given that -2*p**3/3 - 298*p**2 - 33744*p - 98568 = 0.
-222, -3
Suppose d**4/3 + 4*d**3 + 4*d**2 - 80*d/3 = 0. Calculate d.
-10, -4, 0, 2
Let 4*t**5/9 + 4*t**4/9 - 4*t**3 - 4*t**2/9 + 80*t/9 - 16/3 = 0. Calculate t.
-3, -2, 1, 2
Find w such that -4*w**3 - 408*w**2 - 396*w + 808 = 0.
-101, -2, 1
Factor -i**5 + 11*i**4 - 35*i**3 + 25*i**2.
-i**2*(i - 5)**2*(i - 1)
Factor -2*x**2/7 - 8*x/7 + 330/7.
-2*(x - 11)*(x + 15)/7
Factor d**5/6 + 13*d**4/3 + 193*d**3/6 + 52*d**2 + 24*d.
d*(d + 1)**2*(d + 12)**2/6
Factor -c**4/3 - 22*c**3/3 - 52*c**2 - 410*c/3 - 275/3.
-(c + 1)*(c + 5)**2*(c + 11)/3
Solve 4*t**4/21 - 118*t**3/21 + 8*t**2 + 2*t/21 - 8/3 = 0.
-1/2, 1, 28
Determine c so that -2*c**4/11 + 2*c**3 - 52*c**2/11 + 32*c/11 = 0.
0, 1, 2, 8
Factor -s**5 - 3*s**4 + 4*s**2.
-s**2*(s - 1)*(s + 2)**2
Factor 4*s**2/3 - 3984*s + 2976048.
4*(s - 1494)**2/3
Factor x**3/8 + 13*x**2/4 + 91*x/8 + 33/4.
(x + 1)*(x + 3)*(x + 22)/8
Factor 2*k**2 + 34*k - 220.
2*(k - 5)*(k + 22)
Solve -4*a**2 + 776*a + 780 = 0 for a.
-1, 195
Solve -3*j**2 - 216*j + 912 = 0 for j.
-76, 4
Determine d so that 2*d**5/3 + 2324*d**4/3 + 675116*d**3/3 - 6968*d**2/3 - 2020718*d/3 + 1350244/3 = 0.
-581, -2, 1
Factor -y**3 + 3*y**2 - 2*y.
-y*(y - 2)*(y - 1)
Determine q, given that -4*q**4 + 172*q**3 + 176*q**2 = 0.
-1, 0, 44
Factor 2*h**2/3 + 8*h + 22/3.
2*(h + 1)*(h + 11)/3
Factor 4*g**4 + 152*g**3 + 1108*g**2 - 6384*g + 7056.
4*(g - 2)**2*(g + 21)**2
Factor 3*z**2 - 192*z - 1035.
3*(z - 69)*(z + 5)
Determine t so that -t**2/6 + 11*t/3 - 7/2 = 0.
1, 21
Let 20*k**5 + 700*k**4 + 3105*k**3 + 3060*k**2 - 2835*k - 4050 = 0. What is k?
-30, -3, -3/2, 1
Factor 9*a**2 + 71*a - 8.
(a + 8)*(9*a - 1)
What is o in 2*o**2/9 - 284*o/9 + 10082/9 = 0?
71
Suppose l**5/2 - l**4/4 - 2*l**3 + l**2/4 + 3*l/2 = 0. Calculate l.
-3/2, -1, 0, 1, 2
Factor -3*b**4 + 141*b**3 - 138*b**2.
-3*b**2*(b - 46)*(b - 1)
Let 2*p**5/5 + 18*p**4/5 + 22*p**3/5 - 58*p**2/5 - 24*p - 56/5 = 0. What is p?
-7, -2, -1, 2
Suppose -7*l**3/6 + 187*l**2/6 - 64*l/3 - 26/3 = 0. Calculate l.
-2/7, 1, 26
Factor -364*u**2/9 - 230*u/9 - 4.
-2*(7*u + 2)*(26*u + 9)/9
Find c, given that -2*c**4 + 40*c**3 - 118*c**2 - 160*c = 0.
-1, 0, 5, 16
Factor -4*i**5/5 + 8*i**4/5 - 8*i**2/5 + 4*i/5.
-4*i*(i - 1)**3*(i + 1)/5
Factor 2*t**2 + 448*t + 25088.
2*(t + 112)**2
Suppose 25*c**2 + 855*c + 170 = 0. Calculate c.
-34, -1/5
Factor -3*v**3 + 81*v**2.
-3*v**2*(v - 27)
Determine b, given that b**2 - 2964*b + 2196324 = 0.
1482
Find j such that 2*j**3/7 - 198*j**2/7 + 390*j/7 - 194/7 = 0.
1, 97
Factor 4*v**4 - 6200*v**3 + 3201264*v**2 - 549546184*v - 552753652.
4*(v - 517)**3*(v + 1)
Factor 80*f**5 - 200*f**4 + 165*f**3 - 50*f**2 + 5*f.
5*f*(f - 1)**2*(4*f - 1)**2
Determine r so that 4*r**2 - 1840*r + 211600 = 0.
230
Let -5*d**4 + 1810*d**3 - 160145*d**2 - 662460*d - 669780 = 0. What is d?
-2, 183
Factor f**2/5 - 5.
(f - 5)*(f + 5)/5
What is z in 4*z**3/5 + 128*z**2/5 + 564*z/5 + 648/5 = 0?
-27, -3, -2
Solve -4*z**4 - 16*z**3 + 60*z**2 + 232*z + 160 = 0.
-5, -2, -1, 4
Find h such that -h**2 + 162*h - 6561 = 0.
81
Determine d so that 4*d**4 + 60*d**3 - 140*d**2 - 60*d + 136 = 0.
-17, -1, 1, 2
Determine u, given that u**5 - 11*u**4 - u**3 + 11*u**2 = 0.
-1, 0, 1, 11
What is a in -a**3/8 + 3*a**2/8 + 289*a/8 + 285/8 = 0?
-15, -1, 19
What is s in 3*s**3 - 15*s**2 + 6*s + 24 = 0?
-1, 2, 4
Factor 5*z**2/4 - 890*z - 3565/4.
5*(z - 713)*(z + 1)/4
Factor l**2/2 - 15*l + 29/2.
(l - 29)*(l - 1)/2
Solve -3*j**3/2 - 3*j**2 + 57*j/2 + 30 = 0 for j.
-5, -1, 4
Let -d**3/3 + 6*d**2 - 71*d/3 + 26 = 0. What is d?
2, 3, 13
Suppose 10*n**4 - 46*n**3 - 30*n**2 + 46*n + 20 = 0. What is n?
-1, -2/5, 1, 5
Let 2*m**4/15 - 8*m**3/5 + 14*m**2/3 - 16*m/5 = 0. Calculate m.
0, 1, 3, 8
What is x in 4*x**4/7 + 8*x**3/7 - 12*x**2/7 - 32*x/7 - 16/7 = 0?
-2, -1, 2
Factor 3*o**3 + 21*o**2 - 1704*o + 1680.
3*(o - 20)*(o - 1)*(o + 28)
Factor -10*n**2 + 35*n - 15.
-5*(n - 3)*(2*n - 1)
Factor 35*d**2 + 7620*d - 2180.
5*(d + 218)*(7*d - 2)
Suppose -x**4/7 + 3*x**3/7 + x**2 - 27*x/7 + 18/7 = 0. What is x?
-3, 1, 2, 3
Factor -4*w**3/7 - 225*w**2/7 + 1432*w/7 + 372/7.
-(w - 6)*(w + 62)*(4*w + 1)/7
What is i in -2*i**3/3 - 178*i**2/5 - 1712*i/15 - 40 = 0?
-50, -3, -2/5
Factor 3*j**2 - 282*j + 6627.
3*(j - 47)**2
Factor 7*w**4/6 - 307*w**3/3 - 718*w**2/3 - 60*w.
w*(w - 90)*(w + 2)*(7*w + 2)/6
Factor z**2 - 194*z + 9409.
(z - 97)**2
Factor -2*r**4 + 92*r**3 - 1058*r**2.
-2*r**2*(r - 23)**2
Factor -3*q**3/4 + 81*q**2/4 + 231*q/2 + 144.
-3*(q - 32)*(q + 2)*(q + 3)/4
Determine l so that -2*l**2/19 + 14*l/19 - 20/19 = 0.
2, 5
Determine z, given that -2*z**3/7 - 10*z**2/7 - 6*z/7 + 18/7 = 0.
-3, 1
Determine o, given that 3*o**5/5 + 32*o**4/5 - 14*o**3/5 - 32*o**2/5 + 11*o/5 = 0.
-11, -1, 0, 1/3, 1
Solve 2*f**5/3 - 4*f