4)/9
Factor -3*q**4 - 66*q**3 - 351*q**2 + 264*q + 1452.
-3*(q - 2)*(q + 2)*(q + 11)**2
Let -25*m**3 - 1635*m**2 - 3800*m - 1260 = 0. What is m?
-63, -2, -2/5
Factor -2*n**4/9 - 16*n**3/3 - 236*n**2/9 + 208*n/3 - 338/9.
-2*(n - 1)**2*(n + 13)**2/9
Suppose -x**5 - 11*x**4 + 34*x**3 + 374*x**2 - 801*x + 405 = 0. Calculate x.
-9, 1, 5
Find p such that 3*p**3/2 + 3*p**2/2 - 12099*p/2 - 299811/2 = 0.
-37, 73
Determine c, given that -6*c**2/7 - 474*c/7 = 0.
-79, 0
Factor 3*p**3/4 - 549*p**2/4 + 6210*p + 6348.
3*(p - 92)**2*(p + 1)/4
Factor -2*x**2/3 + 502*x + 3020/3.
-2*(x - 755)*(x + 2)/3
Factor -5*k**4 + 45*k**3 - 145*k**2 + 195*k - 90.
-5*(k - 3)**2*(k - 2)*(k - 1)
Suppose -3*v**3 - 9*v**2 - 6*v = 0. Calculate v.
-2, -1, 0
Factor -8*d**2 - 5*d + 3.
-(d + 1)*(8*d - 3)
Factor 3*c**3/2 - 1956*c**2 + 3903*c/2 + 3909.
3*(c - 1303)*(c - 2)*(c + 1)/2
Factor 2*h**5/15 - 8*h**4/3 + 38*h**3/15.
2*h**3*(h - 19)*(h - 1)/15
Factor 3*t**2 - 3540*t - 3543.
3*(t - 1181)*(t + 1)
Factor -4*n**2/5 - 8*n - 36/5.
-4*(n + 1)*(n + 9)/5
Suppose 3*r**5/4 + 141*r**4/4 - 147*r**3/2 + 3*r**2/2 + 291*r/4 - 147/4 = 0. Calculate r.
-49, -1, 1
Factor 5*a**4 - 13920*a**3 + 12931650*a**2 - 4021659720*a + 11948969745.
5*(a - 927)**3*(a - 3)
Solve 28*o**2 - 40*o - 32 = 0 for o.
-4/7, 2
Determine j so that -16*j**4/7 - 180*j**3/7 + 1444*j**2/7 - 2076*j/7 - 612/7 = 0.
-17, -1/4, 3
Factor t**2/2 + 63*t/2 + 145.
(t + 5)*(t + 58)/2
Let 16*z**3 + 140*z**2 + 92*z - 32 = 0. Calculate z.
-8, -1, 1/4
Factor -q**4/5 - 136*q**3/5 + 55*q**2 - 138*q/5.
-q*(q - 1)**2*(q + 138)/5
Solve -4*g**2/7 + 748*g/7 + 752/7 = 0.
-1, 188
Find a, given that 2*a**3/9 + 106*a**2/9 + 1792*a/9 + 9800/9 = 0.
-25, -14
Factor 4*m**2 + 100*m + 96.
4*(m + 1)*(m + 24)
Find n, given that -28*n**2 + 4824*n - 1376 = 0.
2/7, 172
Factor 10*t**5 + 34*t**4 + 12*t**3.
2*t**3*(t + 3)*(5*t + 2)
Solve 3*t**3 + 9*t**2 - 3*t - 9 = 0 for t.
-3, -1, 1
Suppose -p**3/6 + 320*p**2/3 + 1283*p/6 + 107 = 0. Calculate p.
-1, 642
Suppose -5*n**2 - 530*n - 14045 = 0. What is n?
-53
Factor -4*c**2/9 - 136*c/9 - 256/9.
-4*(c + 2)*(c + 32)/9
Let -3*p**2/4 + 135*p/4 - 561/2 = 0. What is p?
11, 34
Suppose 3*n**4 - 42*n**3 + 87*n**2 + 312*n + 180 = 0. Calculate n.
-1, 6, 10
What is z in -20*z**5 + 105*z**4 + 355*z**3 - 1395*z**2 - 2675*z + 750 = 0?
-3, -2, 1/4, 5
Factor -9*h**2 - 6*h.
-3*h*(3*h + 2)
Factor o**3 + 32*o**2 - 140*o + 144.
(o - 2)**2*(o + 36)
Find g, given that 40*g**4/11 - 461*g**3/11 + 123*g**2 - 610*g/11 + 56/11 = 0.
1/8, 2/5, 4, 7
Factor -2*i**2/5 - 4282*i/5 + 4284/5.
-2*(i - 1)*(i + 2142)/5
Let -m**3 - 66*m**2 - 1209*m - 3844 = 0. What is m?
-31, -4
Factor 3*k**3/5 - 261*k**2 + 37845*k - 1829175.
3*(k - 145)**3/5
Factor 5*l**3 - 290*l**2 + 285*l.
5*l*(l - 57)*(l - 1)
Suppose -u**4/2 - 43*u**3/2 - 261*u**2 - 640*u - 400 = 0. Calculate u.
-20, -2, -1
Determine l, given that -40*l**5 + 355*l**4 - 795*l**3 + 655*l**2 - 145*l - 30 = 0.
-1/8, 1, 6
Solve 2*i**4 + 14*i**3 - 106*i**2 + 162*i - 72 = 0.
-12, 1, 3
Find j such that j**3 + 23*j**2 + 20*j - 44 = 0.
-22, -2, 1
Solve -2*y**5/7 + 2*y**4/7 + 92*y**3/7 - 368*y**2/7 + 384*y/7 = 0.
-8, 0, 2, 3, 4
Determine o, given that o**2/3 + 1410*o + 1491075 = 0.
-2115
What is p in -p**2/3 + 484*p/3 = 0?
0, 484
Solve -9*b**4/8 - 2325*b**3/8 - 769*b**2/8 + 1289*b/8 - 129/4 = 0.
-258, -1, 1/3
Solve n**5/2 + 7*n**4/2 - 3*n**3/2 - 19*n**2/2 + 7*n = 0.
-7, -2, 0, 1
Factor i**4 - 6*i**3 - i**2 + 30*i.
i*(i - 5)*(i - 3)*(i + 2)
Factor -4*k**5/3 + 20*k**4/3 - 12*k**3 + 28*k**2/3 - 8*k/3.
-4*k*(k - 2)*(k - 1)**3/3
Find u such that -u**2 - 2288*u - 1308736 = 0.
-1144
Factor -d**2/5 - 8*d/5.
-d*(d + 8)/5
Suppose -r**4 - 31*r**3 + 75*r**2 + 279*r - 594 = 0. What is r?
-33, -3, 2, 3
Let -2*n**5/7 - 74*n**4/7 - 944*n**3/7 - 4904*n**2/7 - 1472*n - 896 = 0. What is n?
-14, -4, -1
Suppose -5*d**4 + 255*d**3 + 20*d**2 - 1020*d = 0. What is d?
-2, 0, 2, 51
Suppose -5*d**4 - 115*d**3 - 665*d**2 - 1005*d - 450 = 0. Calculate d.
-15, -6, -1
Factor -2*c**3 - 22*c**2 + 24*c.
-2*c*(c - 1)*(c + 12)
Solve 2*o**5 - 4*o**4 + 2*o**3 = 0 for o.
0, 1
What is j in 5*j**4 - 45*j**3 - 235*j**2 - 315*j - 130 = 0?
-2, -1, 13
Factor 2*x**5 + 218*x**4 + 8198*x**3 + 115990*x**2 + 372400*x + 343000.
2*(x + 2)**2*(x + 35)**3
Factor 3*g**5 + 48*g**4 + 117*g**3.
3*g**3*(g + 3)*(g + 13)
Suppose -3*v**2 - 69*v - 66 = 0. Calculate v.
-22, -1
What is l in l**5/4 - 13*l**4/2 + 193*l**3/4 - 142*l**2 + 164*l - 64 = 0?
1, 4, 16
Find o, given that -6*o**2 - 771*o + 387 = 0.
-129, 1/2
Factor c**2/5 + 537*c/5.
c*(c + 537)/5
Find h such that -4*h**4 - 32*h**3 - 60*h**2 + 32*h + 64 = 0.
-4, -1, 1
Factor -u**2 + 768*u + 769.
-(u - 769)*(u + 1)
Factor -2*o**5/15 + 2*o**4/15 + 2*o**3/3 + 2*o**2/5.
-2*o**2*(o - 3)*(o + 1)**2/15
Find j, given that 4*j**4/7 + 52*j**3/7 + 156*j**2/7 - 52*j/7 - 160/7 = 0.
-8, -5, -1, 1
Find q such that 2*q**3 + 10*q**2 + 8*q = 0.
-4, -1, 0
Suppose 2*r**3/5 + 46*r**2/5 - 272*r/5 + 224/5 = 0. Calculate r.
-28, 1, 4
Factor -3*g**3 + 315*g**2 - 1221*g + 909.
-3*(g - 101)*(g - 3)*(g - 1)
Determine b so that -b**2/4 + 569*b/2 = 0.
0, 1138
Determine d so that -6*d**4 + 116*d**3 + 1480*d**2/3 + 868*d/3 + 46 = 0.
-3, -1/3, 23
Determine x, given that -4*x**5 + 1472*x**4 - 2928*x**3 - 8*x**2 + 2932*x - 1464 = 0.
-1, 1, 366
Suppose -3*y**4/4 - 123*y**3/8 - 309*y**2/4 - 1035*y/8 - 189/4 = 0. Calculate y.
-14, -3, -1/2
Factor 5*r**3 - 1015*r**2 + 52015*r - 51005.
5*(r - 101)**2*(r - 1)
Factor 4*g**3 + 40*g**2 + 92*g + 56.
4*(g + 1)*(g + 2)*(g + 7)
Let d**2/2 - 53*d - 327/2 = 0. Calculate d.
-3, 109
Factor 2*s**2 + 9053*s/2 + 2263/2.
(s + 2263)*(4*s + 1)/2
Suppose 3*v**2/2 - 6*v - 18 = 0. Calculate v.
-2, 6
Factor r**2/6 + 36*r + 214/3.
(r + 2)*(r + 214)/6
Find h such that 5*h**5 - 190*h**4 + 1065*h**3 + 16060*h**2 - 16940*h = 0.
-7, 0, 1, 22
Find f, given that -4*f**4 - 56*f**3 - 148*f**2 + 336*f + 432 = 0.
-9, -6, -1, 2
Factor -a**2/4 + 7*a - 13.
-(a - 26)*(a - 2)/4
Factor -27*c**3 - 11619*c**2 + 31128*c - 20784.
-3*(c + 433)*(3*c - 4)**2
Find m, given that 9*m**5 + 159*m**4/4 + 21*m**3/2 - 69*m**2/4 + 3*m = 0.
-4, -1, 0, 1/4, 1/3
Determine i, given that -2*i**2/7 + 68*i/7 - 450/7 = 0.
9, 25
Suppose 4*d**5 + 16*d**4 + 12*d**3 = 0. Calculate d.
-3, -1, 0
Solve 3*q**3/8 + 81*q**2/2 + 2187*q/2 = 0.
-54, 0
Factor 2*o**2 - 146*o + 144.
2*(o - 72)*(o - 1)
Factor q**5/5 + q**4 - 2*q**3/5 - 24*q**2/5.
q**2*(q - 2)*(q + 3)*(q + 4)/5
Factor -5*o**4 + 20*o**3 - 25*o**2 + 10*o.
-5*o*(o - 2)*(o - 1)**2
Determine r so that -3*r**3/4 + 9*r**2/4 + 15*r/2 = 0.
-2, 0, 5
Factor -f**2/4 + f/2 + 2.
-(f - 4)*(f + 2)/4
Factor 3*y**2 + 696*y - 699.
3*(y - 1)*(y + 233)
Find o, given that -20*o**5 - 2*o**4 + 86*o**3 + 38*o**2 - 66*o - 36 = 0.
-3/2, -1, -3/5, 1, 2
Determine p so that -2*p**5/5 - 6*p**4/5 + 4*p**3 + 12*p**2 - 18*p/5 - 54/5 = 0.
-3, -1, 1, 3
Determine c, given that 3*c**3/8 + 129*c**2/4 + 180*c = 0.
-80, -6, 0
Find m, given that -48*m**4 - 840*m**3 - 1851*m**2 - 771*m - 90 = 0.
-15, -2, -1/4
Factor q**4/3 - 5*q**3/3 - q**2/3 + 17*q/3 + 4.
(q - 4)*(q - 3)*(q + 1)**2/3
Determine n, given that 7*n**4/3 + 401*n**3/3 - 292*n**2/3 - 116*n/3 = 0.
-58, -2/7, 0, 1
Let -50*k**3 - 1795*k**2 - 1585*k - 350 = 0. Calculate k.
-35, -1/2, -2/5
Suppose 2*n**4/13 + 224*n**3/13 + 4224*n**2/13 - 114688*n/13 + 524288/13 = 0. What is n?
-64, 8
Let 3*y**4 - 12*y**3 + 6*y**2 + 12*y - 9 = 0. Calculate y.
-1, 1, 3
Factor -39*d**3 + 12*d**2 + 39*d - 12.
-3*(d - 1)*(d + 1)*(13*d - 4)
Factor -m**2/8 + 55*m/8 - 47.
-(m - 47)*(m - 8)/8
Determine i, given that 4*i**2 - 36*i + 32 = 0.
1, 8
Determine x so that 3*x**5 + 249*x**4 + 5289*x**3 + 5043*x**2 = 0.
-41, -1, 0
Factor -2*p**2 - 58*p - 56.
-2*(p + 1)*(p + 28)
Find a, given that 3*a**4 - 9*a**2 - 6*a = 0.
-1, 0, 2
What is o in 9*o**4 - 258*o**3 + 1669*o**2 + 2580*o + 900 = 0?
-2/3, 15
Factor -5*o**4 + 55*o**3 - 70*o**2 - 400*o.
-5*o*(o - 8)*(o - 5)*(o + 2)
Factor -5*d**4 + 1260*d**3 - 2505*d**2 + 1250*d.
-5*d*(d - 250)*(d - 1)**2
Factor -2*j**2/7 + 148*j/7 - 2738/7.
-2*(j - 37)**2/7
Solve 3*n**2 + 6*n + 3 = 0.
-1
Factor 5*t**2 - 3100*t + 480500.
5*(t - 310)**2
Factor -20*f**3 - 25*f**2 + 595*f + 150.
-5*(f - 5)*(f + 6)*(4*f + 1)
Suppose -2*j**3/3 + 316*j**2 - 37446*j = 0. Calculate j.
0, 237
Find p such that 5*p**2/3 - 37*p/3 + 