2/19, 6
Factor 5*d**4 + 1010*d**3 - 1015*d**2.
5*d**2*(d - 1)*(d + 203)
Determine b so that -3*b**4 - 18*b**3 - 27*b**2 = 0.
-3, 0
Let -2*p**3/5 - 24*p**2/5 + 362*p/5 - 336/5 = 0. What is p?
-21, 1, 8
Solve 5*f**5/4 - 25*f**4/2 + 30*f**3 + 25*f**2/2 - 125*f/4 = 0 for f.
-1, 0, 1, 5
Factor -4*h**3 + 204*h**2 + 424*h.
-4*h*(h - 53)*(h + 2)
Determine g, given that g**2 + 234*g + 13689 = 0.
-117
Factor -4*i**5/3 - 12*i**4 - 40*i**3 - 184*i**2/3 - 44*i - 12.
-4*(i + 1)**3*(i + 3)**2/3
Suppose -2*z**2/9 - 16*z + 146/9 = 0. Calculate z.
-73, 1
Factor -4*w**3/3 + 11*w**2/3 + 43*w/3 + 10/3.
-(w - 5)*(w + 2)*(4*w + 1)/3
Solve 2*m**2 - 140*m - 438 = 0.
-3, 73
Factor -q**4/2 - 5*q**3/2 - 3*q**2/2 + 5*q/2 + 2.
-(q - 1)*(q + 1)**2*(q + 4)/2
Determine z, given that 5*z**5 + 880*z**4 + 2610*z**3 + 2600*z**2 + 865*z = 0.
-173, -1, 0
Factor 3*s**2 - 60*s - 132.
3*(s - 22)*(s + 2)
Factor 10*w**3/3 + 694*w**2/3 + 92*w.
2*w*(w + 69)*(5*w + 2)/3
Let -d**5/6 - 4*d**4 - 74*d**3/3 - 17*d**2 + 149*d/6 + 21 = 0. Calculate d.
-14, -9, -1, 1
Determine q, given that -q**5 + 2*q**4 + 21*q**3 - 2*q**2 - 116*q - 120 = 0.
-2, 3, 5
Factor 48*b**4 + 552*b**3 + 1899*b**2 + 1998*b + 648.
3*(b + 4)*(b + 6)*(4*b + 3)**2
Find v, given that 5*v**5 + 90*v**4 + 240*v**3 + 230*v**2 + 75*v = 0.
-15, -1, 0
Factor -4*y**3/7 + 100*y**2/7 + 212*y/7 + 108/7.
-4*(y - 27)*(y + 1)**2/7
Find m such that -4*m**3/5 + 908*m**2/5 = 0.
0, 227
Determine h so that 4*h**4 - 512*h**3 + 15864*h**2 + 33280*h + 16900 = 0.
-1, 65
Factor t**5 - 19*t**4 + 79*t**3 + 119*t**2 - 80*t - 100.
(t - 10)**2*(t - 1)*(t + 1)**2
What is r in -5*r**5 + 65*r**4 - 255*r**3 + 335*r**2 - 140*r = 0?
0, 1, 4, 7
Factor 4*u**2 + 7832*u + 3833764.
4*(u + 979)**2
Determine h, given that -12*h**4 + 33*h**3 + 117*h**2 + 87*h + 15 = 0.
-1, -1/4, 5
Let 3*c**2/2 + 16518*c + 45474054 = 0. Calculate c.
-5506
Determine o so that -5*o**5 + 15*o**4 + 50*o**3 = 0.
-2, 0, 5
Let 4*m**2 - 1104*m + 76176 = 0. What is m?
138
Solve -3*c**2 - 809*c + 270 = 0.
-270, 1/3
Determine c, given that 2*c**2 + 3448*c - 3450 = 0.
-1725, 1
Factor 5*s**3 + 15*s**2 - 720*s + 2700.
5*(s - 6)**2*(s + 15)
Solve -2*c**4/5 + 6*c**3/5 - 4*c**2/5 = 0 for c.
0, 1, 2
Suppose -b**2/9 + 4*b/9 + 32/9 = 0. What is b?
-4, 8
Factor z**5/4 + 3*z**4/2 + 13*z**3/4 + 3*z**2 + z.
z*(z + 1)**2*(z + 2)**2/4
Solve -5*j**2/4 + 305*j/4 - 75 = 0 for j.
1, 60
Factor -2*c**3/3 + 6*c**2 - 72.
-2*(c - 6)**2*(c + 3)/3
Solve g**4/4 + 3*g**3/2 + 3*g**2/4 - 5*g/2 = 0.
-5, -2, 0, 1
Factor j**4/3 + 118*j**3/9 - 9*j**2 - 40*j/9.
j*(j - 1)*(j + 40)*(3*j + 1)/9
Factor 6*p**3/5 - 218*p**2/5 + 72*p/5.
2*p*(p - 36)*(3*p - 1)/5
Find s, given that 2*s**5 - 22*s**4 - 58*s**3 + 78*s**2 = 0.
-3, 0, 1, 13
Suppose -h**3/2 - 117*h**2 - 9126*h - 237276 = 0. Calculate h.
-78
Factor -2*t**3/3 + 368*t**2/3 - 362*t.
-2*t*(t - 181)*(t - 3)/3
Factor 5*d**3 - 180*d**2 + 655*d - 480.
5*(d - 32)*(d - 3)*(d - 1)
Solve -k**4/6 + k**3/2 - 2*k/3 = 0.
-1, 0, 2
Factor -2*s**2/11 - 72*s - 790/11.
-2*(s + 1)*(s + 395)/11
Factor -18*a**4 - 177*a**3 - 137*a**2 - 18*a.
-a*(a + 9)*(3*a + 2)*(6*a + 1)
Find p such that p**5 - 38*p**4/3 + 122*p**3/3 + 40*p**2 - 725*p/3 - 250/3 = 0.
-2, -1/3, 5
Determine x, given that -40*x**3 - 199*x**2 - 155*x + 4 = 0.
-4, -1, 1/40
Let 12*y**5/7 + 825*y**4/7 - 1899*y**3/7 + 1275*y**2/7 - 213*y/7 = 0. Calculate y.
-71, 0, 1/4, 1
Factor h**4 + 14*h**3 + 68*h**2 + 130*h + 75.
(h + 1)*(h + 3)*(h + 5)**2
Factor -2*a**3 - 4*a**2 + 18*a + 36.
-2*(a - 3)*(a + 2)*(a + 3)
Suppose 2*x**5/13 + 112*x**4/13 + 510*x**3/13 = 0. Calculate x.
-51, -5, 0
Factor 2*m**5/9 - 2*m**4 + 64*m**3/9 - 112*m**2/9 + 32*m/3 - 32/9.
2*(m - 2)**4*(m - 1)/9
Solve -18*l**5/5 - 328*l**4/5 - 648*l**3/5 - 128*l**2/5 = 0.
-16, -2, -2/9, 0
Factor 2*v**2 + 118*v + 116.
2*(v + 1)*(v + 58)
Factor 4*f**4 + 68*f**3 + 268*f**2 + 348*f + 144.
4*(f + 1)**2*(f + 3)*(f + 12)
Determine x so that 2*x**4/7 - 16*x**3/7 + 44*x**2/7 - 48*x/7 + 18/7 = 0.
1, 3
Suppose -15*t**3 - 693*t**2 - 2073*t - 387 = 0. What is t?
-43, -3, -1/5
Find j such that -4*j**5/5 - 2*j**4 - 8*j**3/5 - 2*j**2/5 = 0.
-1, -1/2, 0
Determine l so that 14*l**4 - 38*l**3 - 68*l**2 + 152*l + 48 = 0.
-2, -2/7, 2, 3
Determine j so that j**2 - 28*j + 52 = 0.
2, 26
What is b in 2*b**2/13 - 344*b/13 + 14792/13 = 0?
86
Let -4*p**5/7 + 18*p**4/7 - 4*p**3 + 18*p**2/7 - 4*p/7 = 0. What is p?
0, 1/2, 1, 2
Suppose b**2/3 + 268*b/3 + 265 = 0. Calculate b.
-265, -3
Determine z so that z**3/2 + 61*z**2 - 250*z + 252 = 0.
-126, 2
Determine m, given that 26*m**4 - 3610*m**3 + 6594*m**2 - 2462*m - 548 = 0.
-2/13, 1, 137
What is b in 2*b**2/7 + 340*b/7 + 96 = 0?
-168, -2
Solve 5*b**4 + 200*b**3 + 2520*b**2 + 7840*b - 27440 = 0.
-14, 2
Factor f**5/5 + 52*f**4/5.
f**4*(f + 52)/5
Solve y**5/4 + 3*y**4/4 - 15*y**3/2 - y**2/2 + 93*y/4 + 63/4 = 0.
-7, -1, 3
Solve 2*i**2 - 40*i - 42 = 0 for i.
-1, 21
Factor 2*h**5/9 - 2*h**4/9 - 28*h**3/3.
2*h**3*(h - 7)*(h + 6)/9
Determine r, given that 10*r**5 - 6424*r**4 - 3872*r**3 + 8996*r**2 + 3862*r - 2572 = 0.
-1, 2/5, 1, 643
Factor -3*d**5 - 171*d**4 - 1248*d**3 - 3624*d**2 - 4752*d - 2352.
-3*(d + 2)**4*(d + 49)
Factor 2*v**4 + 12*v**3 - 30*v**2 + 16*v.
2*v*(v - 1)**2*(v + 8)
Solve -2*o**3 + 52*o**2 - 250*o + 200 = 0.
1, 5, 20
Factor -j**3/5 - 244*j**2/5 - 14637*j/5 + 30258/5.
-(j - 2)*(j + 123)**2/5
Find j, given that j**5 - 97*j**4 + 378*j**3 - 562*j**2 + 373*j - 93 = 0.
1, 93
Solve -2*h**4/5 + 8*h**3/5 - 4*h**2/5 - 8*h/5 + 6/5 = 0 for h.
-1, 1, 3
Let 5*r**5 - 40*r**3 - 30*r**2 + 35*r + 30 = 0. What is r?
-2, -1, 1, 3
Suppose 14*k**5/13 + 38*k**4/13 - 2*k**3 - 38*k**2/13 + 12*k/13 = 0. What is k?
-3, -1, 0, 2/7, 1
Determine p, given that 4*p**5 + 144*p**4 + 396*p**3 - 16*p**2 - 528*p = 0.
-33, -2, 0, 1
Let -174*m**5/13 - 344*m**4/13 + 530*m**3/13 + 684*m**2/13 - 712*m/13 + 16/13 = 0. What is m?
-2, 2/87, 1
What is a in -a**5/2 + 95*a**4/2 - 1805*a**3 + 34295*a**2 - 651605*a/2 + 2476099/2 = 0?
19
Solve 2*v**2/3 + 274*v/3 - 376 = 0.
-141, 4
Factor -w**4 - 154*w**3 + 155*w**2.
-w**2*(w - 1)*(w + 155)
Find k, given that k**4/3 - 2*k**3/3 - 11*k**2/3 + 4*k + 12 = 0.
-2, 3
Factor -3*x**4 - 18*x**3.
-3*x**3*(x + 6)
Solve 5*d**3 + 3510*d**2 + 612480*d - 1239040 = 0.
-352, 2
What is g in 46*g**3/11 + 310*g**2/11 - 452*g/11 + 96/11 = 0?
-8, 6/23, 1
Factor 5*u**4 - 15*u**3 + 20*u.
5*u*(u - 2)**2*(u + 1)
Solve 2*i**5/9 + 2*i**4/9 - 2*i**3/3 - 10*i**2/9 - 4*i/9 = 0 for i.
-1, 0, 2
Find s, given that 2*s**2 + 212*s + 416 = 0.
-104, -2
Suppose a**2/4 + 5*a/2 + 9/4 = 0. Calculate a.
-9, -1
Solve 18*j**4/11 - 150*j**3/11 + 282*j**2/11 - 186*j/11 + 36/11 = 0 for j.
1/3, 1, 6
Find w, given that 4*w**2/11 + 494*w/11 - 2040/11 = 0.
-255/2, 4
Let -d**3/2 - 31*d**2/2 - 287*d/2 - 833/2 = 0. Calculate d.
-17, -7
Factor -7*g**3 - 614*g**2 + 799*g - 178.
-(g - 1)*(g + 89)*(7*g - 2)
Factor -s**5/8 - 5*s**4/8 - 7*s**3/8 - 3*s**2/8.
-s**2*(s + 1)**2*(s + 3)/8
Find q such that q**2 + 1107*q + 2210 = 0.
-1105, -2
Factor 2*b**3/3 + 46*b**2/3 + 89*b/6 + 11/3.
(b + 22)*(2*b + 1)**2/6
Let 4*k**4 + 4456*k**3 + 1240996*k**2 = 0. Calculate k.
-557, 0
Factor t**4/2 - 7*t**3 + 30*t**2 - 25*t - 125/2.
(t - 5)**3*(t + 1)/2
Solve 2*s**2/3 - 130*s/3 = 0.
0, 65
Factor 3*m**4 - 42*m**3 + 36*m**2 + 42*m - 39.
3*(m - 13)*(m - 1)**2*(m + 1)
Factor 2*y**4/5 - 14*y**3/5 + 24*y**2/5 + 8*y/5 - 32/5.
2*(y - 4)*(y - 2)**2*(y + 1)/5
Find n, given that -4*n**4 - 36*n**3 + 884*n**2 + 36*n - 880 = 0.
-20, -1, 1, 11
Determine r so that 256*r**4 + 2112*r**3 + 4612*r**2 + 1056*r + 64 = 0.
-4, -1/8
Factor -r**2 + 290*r + 2384.
-(r - 298)*(r + 8)
Find j, given that 2*j**3 + 546*j**2 + 540*j - 1088 = 0.
-272, -2, 1
Factor -h**3 + h**2 + 2*h.
-h*(h - 2)*(h + 1)
Let 5*d**4 + 20*d**3 - 190*d**2 + 300*d - 135 = 0. What is d?
-9, 1, 3
Determine h so that -42*h**2 - 87*h - 6 = 0.
-2, -1/14
Suppose w**5/3 + 13*w**4/3 + 14*w**3 - 12*w**2 - 72*w = 0. Calculate w.
-6, -3, 0, 2
Let -2*b**5 - 6*b**4 + 10*b**3 + 6*b**2 - 8*b = 0. What is b?
-4, -1, 0, 1
Factor 3*p**4/2 + 15*p**3 + 87*p**2/2 + 30*p.
3*p*(p + 1)*(p + 4)*(p + 5)/2
Determine i, given that -2*i**2/3 - 374*i/3 - 124 = 0.
-186, -1
Determine u so that 12482*u**5/13 - 50244*u**4/13 + 3938*u**3 - 1272*u**2/13 + 8*u/13 = 0.
0, 1/79, 2
Factor 4*t**3 - 924*t**2 + 56448*t - 351232.
4*(t -