*f**3 + 6060*f**2 + 7218*f + 2160.
2*(f + 120)*(5*f + 3)**2
Factor 51*p**2 + 359*p + 14.
(p + 7)*(51*p + 2)
Suppose 5*p**3/4 + 25*p**2/2 - 65*p/4 - 55/2 = 0. What is p?
-11, -1, 2
Factor -2*t**3/11 + 10*t**2/11 + 4*t/11 - 48/11.
-2*(t - 4)*(t - 3)*(t + 2)/11
Let -10*o**5/7 + 6*o**4 - 2*o**3/7 - 106*o**2/7 + 12*o/7 + 64/7 = 0. What is o?
-1, 1, 2, 16/5
Suppose -507*o**4 - 858*o**3 - 207*o**2 + 132*o - 12 = 0. Calculate o.
-1, 2/13
Find j, given that 3*j**4/4 + 201*j**3/4 + 3465*j**2/4 + 3267*j/4 = 0.
-33, -1, 0
Factor -z**5/6 + 21*z**4/2 - 121*z**3/3 + 179*z**2/3 - 79*z/2 + 59/6.
-(z - 59)*(z - 1)**4/6
Factor 2*n**3 + 6616*n**2 - 13238*n + 6620.
2*(n - 1)**2*(n + 3310)
Factor 4*m**4 + 8*m**3 - 12*m**2.
4*m**2*(m - 1)*(m + 3)
Factor t**3 - 5*t**2 - 13*t - 7.
(t - 7)*(t + 1)**2
Factor -y**4/4 + y**3/2.
-y**3*(y - 2)/4
Factor -4*d**3 + 12292*d**2 - 9449472*d + 9437184.
-4*(d - 1536)**2*(d - 1)
Factor -9*j**3 - 120*j**2 + 369*j - 240.
-3*(j - 1)*(j + 16)*(3*j - 5)
Factor 3*s**2/7 - 42*s + 2640/7.
3*(s - 88)*(s - 10)/7
Factor 2*z**3/9 + 4*z**2/3 - 32*z/9.
2*z*(z - 2)*(z + 8)/9
Factor 2*i**3/3 - 392*i**2/3 + 386*i.
2*i*(i - 193)*(i - 3)/3
Factor 2*c**3 + 2034*c**2 + 4062*c + 2030.
2*(c + 1)**2*(c + 1015)
Find c, given that -4*c**5/7 + 12*c**4/7 + 4*c**3/7 - 4*c**2 + 16/7 = 0.
-1, 1, 2
Let 5*n**3/4 - 15*n**2/4 = 0. What is n?
0, 3
Factor -15*r**4/7 - 183*r**3/7 - 108*r**2 - 1104*r/7 - 192/7.
-3*(r + 4)**3*(5*r + 1)/7
Factor -4*o**4 + 84*o**2 + 80*o.
-4*o*(o - 5)*(o + 1)*(o + 4)
Let -4*r**4 + 44*r**3 + 292*r**2 + 436*r + 192 = 0. What is r?
-3, -1, 16
Factor 3*m**2 - 165*m - 1512.
3*(m - 63)*(m + 8)
Factor 180*x**2/13 + 362*x/13 + 4/13.
2*(x + 2)*(90*x + 1)/13
Determine o, given that 12*o**2 - 100*o = 0.
0, 25/3
Factor z**2/2 - 17*z/2 - 69.
(z - 23)*(z + 6)/2
Suppose -258*n**3 - 9*n**2 = 0. What is n?
-3/86, 0
Determine x, given that 2*x**5/5 - 56*x**4/5 + 366*x**3/5 + 224*x**2/5 - 1496*x/5 = 0.
-2, 0, 2, 11, 17
Factor -4*l**2 - 13336*l + 13340.
-4*(l - 1)*(l + 3335)
Determine p so that 2*p**4 + 14*p**3 + 10*p**2 - 14*p - 12 = 0.
-6, -1, 1
Factor -12*a**3 + 424*a**2 - 548*a + 136.
-4*(a - 34)*(a - 1)*(3*a - 1)
Suppose p**4/6 + 64*p**3/3 + 165*p**2/2 - 64*p/3 - 248/3 = 0. Calculate p.
-124, -4, -1, 1
Solve -4*q**3 - 44*q**2 - 160*q - 192 = 0.
-4, -3
Factor -2*d**5 + 246*d**4 + 248*d**3.
-2*d**3*(d - 124)*(d + 1)
Find c, given that -c**3/3 - 4*c**2/3 + c + 6 = 0.
-3, 2
Factor -g**2 + 5*g + 6.
-(g - 6)*(g + 1)
Factor -4*f**3/3 + 24*f**2 - 80*f - 800/3.
-4*(f - 10)**2*(f + 2)/3
What is w in -14*w**4 - 340*w**3 - 2098*w**2 - 572*w = 0?
-13, -11, -2/7, 0
Find g such that 3*g**2 - 1812*g + 273612 = 0.
302
Suppose -3*c**2/2 + 3/2 = 0. Calculate c.
-1, 1
Factor -20*q**4 + 28*q**3 - 12*q**2 + q + 1/4.
-(2*q - 1)**3*(10*q + 1)/4
Factor -n**3/5 + 243*n**2/5 - 19683*n/5 + 531441/5.
-(n - 81)**3/5
Factor 15*n**3 + 3381*n**2 + 4710*n + 1344.
3*(n + 1)*(n + 224)*(5*n + 2)
Factor 3*c**4/5 + 27*c**3/5 + 63*c**2/5 + 57*c/5 + 18/5.
3*(c + 1)**3*(c + 6)/5
Factor -6*y**5 - 58*y**4 + 20*y**3.
-2*y**3*(y + 10)*(3*y - 1)
Find s such that 47045*s**2 - 1940*s + 20 = 0.
2/97
Suppose 3*c**3/8 + 105*c**2/8 + 51*c/4 = 0. Calculate c.
-34, -1, 0
Factor -2*y**5/7 - 62*y**4/7 - 374*y**3/7 + 1734*y**2/7.
-2*y**2*(y - 3)*(y + 17)**2/7
Suppose d**3/3 + 44*d**2 - 133*d/3 = 0. What is d?
-133, 0, 1
Factor 6*t**4/5 + 408*t**3/5 + 1188*t**2/5 + 1176*t/5 + 78.
6*(t + 1)**3*(t + 65)/5
Let t**4 + 5*t**3 - 9*t**2 - 81*t - 108 = 0. What is t?
-3, 4
Factor -u**3/8 - 1809*u**2/8.
-u**2*(u + 1809)/8
Let 3*b**4/4 - 6487*b**3/4 - 15159*b**2/2 - 10833*b - 4334 = 0. Calculate b.
-2, -2/3, 2167
Determine l so that 5*l**2 - 465*l - 8100 = 0.
-15, 108
Let -5*l**5 - 30*l**4 - 20*l**3 + 30*l**2 + 25*l = 0. What is l?
-5, -1, 0, 1
Solve p**3/3 + 8*p**2 + 39*p - 338/3 = 0.
-13, 2
Solve -40*m**5/3 - 305*m**4/6 - 170*m**3/3 - 85*m**2/6 + 5*m = 0 for m.
-2, -1, 0, 3/16
Let -l**3/4 - l**2/4 = 0. What is l?
-1, 0
Factor -5*t**4 + 155*t**3 - 1600*t**2 + 5500*t.
-5*t*(t - 11)*(t - 10)**2
Find f such that -f**4/4 - f**3/2 + f**2 + f/2 - 3/4 = 0.
-3, -1, 1
Find v, given that -3*v**3/4 - 195*v**2/4 - 2781*v/4 - 11421/4 = 0.
-47, -9
Factor -p**2 - 264*p - 17424.
-(p + 132)**2
Let 17*l**2/5 - 59*l/5 - 36/5 = 0. Calculate l.
-9/17, 4
Factor 4*h**3 - 356*h**2 + 7740*h + 8100.
4*(h - 45)**2*(h + 1)
Let -4*o**2/9 + 1688*o/9 + 188 = 0. What is o?
-1, 423
Suppose -3*s**4/4 + 6*s**3 - 51*s**2/4 + 15*s/2 = 0. What is s?
0, 1, 2, 5
Suppose 4*d**3 - 28*d**2 + 64*d - 48 = 0. Calculate d.
2, 3
Determine d, given that 27*d**3 + 816*d**2 + 1692*d + 336 = 0.
-28, -2, -2/9
Factor -2*d**2 + 246*d - 952.
-2*(d - 119)*(d - 4)
Find j such that 4*j**4 - 8*j**3 - 32*j**2 = 0.
-2, 0, 4
Factor 9*d**4/5 + 6*d**3/5 - 59*d**2/5 - 4*d + 20.
(d + 2)**2*(3*d - 5)**2/5
Find v such that 3*v**5 - 31*v**4 + 166*v**3/3 + 12*v**2 - 56*v + 64/3 = 0.
-1, 2/3, 2, 8
Factor 7*f**3 - 59*f**2 + 73*f - 21.
(f - 7)*(f - 1)*(7*f - 3)
What is b in -3*b**4 + 3*b**3 = 0?
0, 1
Find j such that -4*j**5/7 - 104*j**4/7 + 48*j**3 - 344*j**2/7 + 116*j/7 = 0.
-29, 0, 1
Suppose c**3/2 - 21*c**2/4 + 27*c/4 = 0. Calculate c.
0, 3/2, 9
Factor -2*c**3/9 - 50*c**2/3 - 1250*c/3 - 31250/9.
-2*(c + 25)**3/9
Factor -3*c**3/7 + 57*c**2/7 - 285*c/7 + 33.
-3*(c - 11)*(c - 7)*(c - 1)/7
Solve -3*m**5 + 114*m**4 - 972*m**3 + 2262*m**2 - 2049*m + 648 = 0.
1, 8, 27
Let 3*d**5 + 60*d**4 + 159*d**3 + 102*d**2 = 0. What is d?
-17, -2, -1, 0
Factor 3*r**3 + 30*r**2 + 51*r + 24.
3*(r + 1)**2*(r + 8)
What is k in -2*k**2/15 - 964*k/5 - 348486/5 = 0?
-723
Let -5*z**5 - 25*z**4 - 40*z**3 - 20*z**2 = 0. What is z?
-2, -1, 0
Find q such that 3*q**2 - 12042*q + 12039 = 0.
1, 4013
Factor -2*i**3/19 + 6*i**2/19 + 12*i/19 - 16/19.
-2*(i - 4)*(i - 1)*(i + 2)/19
Let 4*b**2/9 + 184*b/9 - 340/3 = 0. What is b?
-51, 5
Find l, given that -l**2 + 94*l = 0.
0, 94
Find j, given that 4*j**5 + 8*j**4 - 96*j**3 - 88*j**2 + 412*j - 240 = 0.
-5, -3, 1, 4
Factor 3*o**2/7 + 10602*o/7 + 9366867/7.
3*(o + 1767)**2/7
Determine d, given that 2*d**4/11 - 202*d**3/11 + 5196*d**2/11 - 4600*d/11 - 10000/11 = 0.
-1, 2, 50
Factor -3*p**3 - 1026*p**2 + 2061*p - 1032.
-3*(p - 1)**2*(p + 344)
Solve -1681778*i**4 + 6734448*i**3 - 5074686*i**2 + 22040*i - 24 = 0.
2/917, 1, 3
Factor 2*k**3/5 - 62*k**2/5 - 68*k/5 + 128/5.
2*(k - 32)*(k - 1)*(k + 2)/5
Factor 750141*z**4 + 71442*z**3 + 2268*z**2 + 24*z.
3*z*(63*z + 2)**3
Let -2*v**4 - 68*v**3 - 250*v**2 - 304*v - 120 = 0. Calculate v.
-30, -2, -1
Factor v**4/2 - 67*v**3/2 - 445*v**2/2 + 511*v/2.
v*(v - 73)*(v - 1)*(v + 7)/2
Determine t, given that 3*t**2/7 - 6852*t/7 + 3912492/7 = 0.
1142
Factor -242*u**5 + 1056*u**4 - 360*u**3 + 32*u**2.
-2*u**2*(u - 4)*(11*u - 2)**2
Find p, given that -4*p**2 - 12*p = 0.
-3, 0
What is a in 2*a**4 - 12*a**3 - 6*a**2 + 32*a + 24 = 0?
-1, 2, 6
What is l in 2*l**3/19 - 18*l**2/19 + 46*l/19 - 30/19 = 0?
1, 3, 5
Suppose 5*v**2 - 80*v + 320 = 0. What is v?
8
Find r, given that -r**3/2 - 3*r**2 + 589*r/2 + 297 = 0.
-27, -1, 22
Let -3*y**3 + 1260*y**2 + 2532*y = 0. What is y?
-2, 0, 422
Solve -i**5/5 + 49*i**4/5 + 103*i**3/5 - 49*i**2/5 - 102*i/5 = 0 for i.
-2, -1, 0, 1, 51
Find v such that -v**5/2 + 233*v**4/2 - 6843*v**3 + 6496*v**2 + 13456*v = 0.
-1, 0, 2, 116
Determine l, given that 2*l**4 + 278*l**3 - 860*l**2 - 1136*l = 0.
-142, -1, 0, 4
Suppose 4*j**5 - 364*j**4 + 8088*j**3 + 9200*j**2 - 16928*j = 0. Calculate j.
-2, 0, 1, 46
Factor 2*h**2 + 2*h - 24.
2*(h - 3)*(h + 4)
Find h such that h**2/8 + 231*h/4 + 53361/8 = 0.
-231
What is r in 4*r**2 - 28*r + 48 = 0?
3, 4
Solve 2*z**2/7 + 2*z = 0.
-7, 0
Factor o**2/2 - 15*o/4 - 27/4.
(o - 9)*(2*o + 3)/4
Solve -y**4 + 164*y**3 - 10086*y**2 + 275684*y - 2825761 = 0 for y.
41
Let 2*g**5 + 20*g**4 + 60*g**3 + 40*g**2 - 62*g - 60 = 0. Calculate g.
-5, -3, -2, -1, 1
Solve r**2/4 - r + 3/4 = 0.
1, 3
Suppose w**5 + 19*w**4 + 18*w**3 = 0. What is w?
-18, -1, 0
Factor 4*v**3 - 8*v**2 - 12*v.
4*v*(v - 3)*(v + 1)
What is q in 2*q**5/3 + 40*q**4/3 - 2*q**3 - 124*q**2/3 - 80*q/3 = 0?
-20, -1, 0, 2
What is d in -d**3 - 2*d**2 + 9*d + 18 = 0?
-3, -2, 3
Factor -2*x**5/5 - 22*x**4/5 - 4*x**3 + 212*x**2/5 - 266*x/5 + 98/5.
-2*(x - 1)**3*(x + 7)**2/5
Factor 212552*q**3/9 - 142136*q**2/3 + 290*q - 4/9.
2*(q - 2)*(326*q - 1)**2/9
Deter