2865*a**3 + 3880*a**2 + 1300*a = 0. Calculate a.
-2/3, 0, 65
Let 6*x**3/5 + 104*x**2/5 - 74*x/5 - 36/5 = 0. Calculate x.
-18, -1/3, 1
Factor 2*p**3 + 76*p**2 - 160*p.
2*p*(p - 2)*(p + 40)
Let 3*d**5 + 102*d**4 + 714*d**3 + 840*d**2 - 3525*d - 3750 = 0. Calculate d.
-25, -5, -1, 2
Factor -4*x**3 - 1164*x**2 - 3464*x - 2304.
-4*(x + 1)*(x + 2)*(x + 288)
Let l**2 - 21*l + 110 = 0. What is l?
10, 11
Suppose -5*w**4 - 595*w**3 - 17195*w**2 - 146205*w = 0. What is w?
-81, -19, 0
Factor 3*o**2/4 + 243*o/4 + 60.
3*(o + 1)*(o + 80)/4
Factor 3*b**5/7 + 129*b**4/7 + 1569*b**3/7 + 3963*b**2/7 + 3720*b/7 + 1200/7.
3*(b + 1)**3*(b + 20)**2/7
Suppose -3*b**3 + 22026*b**2 = 0. What is b?
0, 7342
Let 75*u**3 - 1290*u**2 + 1023*u/4 - 51/4 = 0. What is u?
1/10, 17
Determine h, given that h**3 - h**2 - 2*h = 0.
-1, 0, 2
Determine t, given that 3*t**3 - 393*t**2 - 396*t = 0.
-1, 0, 132
Factor 11*h**3/7 - 32*h**2/7 - 3*h/7.
h*(h - 3)*(11*h + 1)/7
Find y such that 4*y**4 - 24*y**3 - 32*y**2 + 24*y + 28 = 0.
-1, 1, 7
Solve 100*t**5 - 555*t**4 - 1045*t**3 + 115*t**2 + 645*t + 140 = 0 for t.
-1, -1/4, 4/5, 7
Suppose 3*i**3 - 522*i**2 + 8667*i - 37908 = 0. What is i?
9, 156
Factor -2*k**2/5 - 210*k - 4168/5.
-2*(k + 4)*(k + 521)/5
Find p such that 2*p**5/3 + 59*p**4/3 + 239*p**3/3 + 359*p**2/3 + 227*p/3 + 50/3 = 0.
-25, -2, -1, -1/2
Solve -v**2/2 - v + 60 = 0.
-12, 10
Find z, given that 4*z**5 + 4*z**4 - 12*z**3 - 4*z**2 + 8*z = 0.
-2, -1, 0, 1
Factor -3*r**2/2 + 84*r - 1176.
-3*(r - 28)**2/2
What is v in -v**3 + 18*v**2 - 71*v + 78 = 0?
2, 3, 13
Find x, given that -3*x**4/7 - 243*x**3/7 + 1290*x**2/7 = 0.
-86, 0, 5
What is y in y**4/4 + 3*y**3/2 - 7*y**2/4 = 0?
-7, 0, 1
Factor -f**2 - 1041*f - 1040.
-(f + 1)*(f + 1040)
Factor -4*t**4 - 24*t**3 - 44*t**2 - 24*t.
-4*t*(t + 1)*(t + 2)*(t + 3)
What is p in 2*p**4/5 + 14552*p**3/15 + 8833058*p**2/15 + 783760*p + 979296/5 = 0?
-1212, -1, -1/3
Suppose -2*x**2/7 - 1268*x/7 + 1270/7 = 0. Calculate x.
-635, 1
Factor a**5/2 + 61*a**4/2 - 125*a**3/2 + 63*a**2/2.
a**2*(a - 1)**2*(a + 63)/2
Factor f**2/2 - 25*f - 51/2.
(f - 51)*(f + 1)/2
Find m, given that -3*m**3 - 258*m**2 - 5547*m = 0.
-43, 0
Factor -5*a**3 + 35*a**2 - 50*a.
-5*a*(a - 5)*(a - 2)
Determine p so that 24*p**4/11 + 2*p**3/11 - 26*p**2/11 - 2*p/11 + 2/11 = 0.
-1, -1/3, 1/4, 1
Let 15*j**5 + 69*j**4 - 45*j**3 - 69*j**2 + 30*j = 0. What is j?
-5, -1, 0, 2/5, 1
Solve -3*g**2 + 102*g - 192 = 0 for g.
2, 32
Factor -h**4 + 3*h**3 + 20*h**2 - 48*h - 64.
-(h - 4)**2*(h + 1)*(h + 4)
Find d such that 12167*d**3 + 9522*d**2 + 2484*d + 216 = 0.
-6/23
Factor 16*g**3 + 4620*g**2 + 8028*g - 2296.
4*(g + 2)*(g + 287)*(4*g - 1)
Suppose -b**3 + 3*b**2 - 4 = 0. Calculate b.
-1, 2
Factor 2*k**3 - 8*k**2 - 178*k - 168.
2*(k - 12)*(k + 1)*(k + 7)
Solve 4*w**5 - 164*w**4 + 296*w**3 + 632*w**2 - 300*w - 468 = 0 for w.
-1, 1, 3, 39
Determine l so that -3*l**5 + 294*l**4 - 7200*l**3 - 294*l**2 + 7203*l = 0.
-1, 0, 1, 49
Solve -3*m**5/4 - 5*m**4/4 + 37*m**3/4 + 29*m**2/4 - 17*m/2 - 6 = 0.
-4, -1, -2/3, 1, 3
Let -2*u**2/9 + 1132*u/9 - 160178/9 = 0. What is u?
283
Suppose y**3/6 + y**2 + y/2 - 5/3 = 0. Calculate y.
-5, -2, 1
Solve -2*c**4/5 - 22*c**3/5 - 48*c**2/5 = 0.
-8, -3, 0
Factor -2*v**3/5 + 14*v**2/5 - 4*v.
-2*v*(v - 5)*(v - 2)/5
Solve -s**4 - 27*s**3 - 100*s**2 + 1152*s - 1024 = 0 for s.
-16, 1, 4
Let -6*y**3 - 1432*y**2 - 85918*y - 56644 = 0. Calculate y.
-119, -2/3
Solve 2*h**4 - 56*h**3 + 480*h**2 - 1152*h = 0 for h.
0, 4, 12
What is w in -w**4/2 + 4*w**3 + 12*w**2 - 16*w - 40 = 0?
-2, 2, 10
What is d in -729*d**4 - 9531*d**3 + 9503*d**2 + 743*d + 14 = 0?
-14, -1/27, 1
Find o, given that 5*o**5/3 + 1000*o**4/3 + 1955*o**3 + 8750*o**2/3 + 3880*o/3 = 0.
-194, -4, -1, 0
Factor -2*d**4/5 + 4*d**3 - 14*d**2/5 - 36*d/5.
-2*d*(d - 9)*(d - 2)*(d + 1)/5
Solve 2*j**3/19 - 612*j**2/19 - 1230*j/19 - 616/19 = 0.
-1, 308
Find i such that i**5 - 36*i**4 + 299*i**3 - 264*i**2 = 0.
0, 1, 11, 24
Factor -u**2 + 22*u + 48.
-(u - 24)*(u + 2)
What is i in i**5/7 - 24*i**4/7 + 18*i**3/7 + 16*i**2 + 69*i/7 = 0?
-1, 0, 3, 23
Factor s**4/3 - s**3/3 - 4*s**2 - 4*s/3 + 16/3.
(s - 4)*(s - 1)*(s + 2)**2/3
Factor f**4/2 - 14*f**3 - 123*f**2/2 - 79*f - 32.
(f - 32)*(f + 1)**2*(f + 2)/2
Solve m**5 - 14*m**4 - 2*m**3 + 28*m**2 + m - 14 = 0.
-1, 1, 14
Factor 1280*j**3 + 1760*j**2 - 1235*j - 1805.
5*(j - 1)*(16*j + 19)**2
Factor 4*y**2/5 - 124*y/5 - 264/5.
4*(y - 33)*(y + 2)/5
Factor -4*w**2 + 108*w + 112.
-4*(w - 28)*(w + 1)
Factor -2*t**3 - 70*t**2 + 474*t - 738.
-2*(t - 3)**2*(t + 41)
Factor 11*b**3 - 167*b**2 + 30*b.
b*(b - 15)*(11*b - 2)
Determine t, given that -3*t**2 - 198*t - 3267 = 0.
-33
Let 12*s**4 - 2424*s**3 - 4881*s**2 - 3057*s - 612 = 0. What is s?
-1, -1/2, 204
Suppose 4*o**4/9 - 700*o**3/9 - 3568*o**2/9 - 5744*o/9 - 320 = 0. Calculate o.
-2, -1, 180
Solve 3*q**5/7 - 9*q**4/7 - 15*q**3/7 + 9*q**2/7 + 12*q/7 = 0 for q.
-1, 0, 1, 4
Factor 2*c**4 - 10*c**3/3 - 4*c**2/3.
2*c**2*(c - 2)*(3*c + 1)/3
Factor -2*o**3/5 - 34*o**2/5 - 174*o/5 - 54.
-2*(o + 3)*(o + 5)*(o + 9)/5
Factor -4*f**3 - 176*f**2 - 500*f - 328.
-4*(f + 1)*(f + 2)*(f + 41)
Determine a so that -2*a**5 + 4*a**4 + 16*a**3 - 36*a**2 + 18*a = 0.
-3, 0, 1, 3
Factor 2*k**4/5 + 14*k**3/5 + 16*k**2/5 - 32*k/5.
2*k*(k - 1)*(k + 4)**2/5
Factor -4*s**3 - 44*s**2 + 2420*s - 15972.
-4*(s - 11)**2*(s + 33)
Factor -3*k**2 + 25668*k.
-3*k*(k - 8556)
Solve -4*b**3 - 232*b**2 + 244*b + 472 = 0.
-59, -1, 2
Find o, given that 147*o**4 - 7539*o**3/4 + 10779*o**2/4 - 1092*o + 135 = 0.
2/7, 1, 45/4
Factor p**5/3 - p**4 - 10*p**3/3 + 8*p**2.
p**2*(p - 4)*(p - 2)*(p + 3)/3
Factor -3*t**3 + 27*t**2 - 45*t + 21.
-3*(t - 7)*(t - 1)**2
Factor -w**4 + 31*w**3 - 162*w**2 + 308*w - 200.
-(w - 25)*(w - 2)**3
Factor i**5 + 21*i**4 + 56*i**3 + 36*i**2.
i**2*(i + 1)*(i + 2)*(i + 18)
Suppose 3*k**4 - 69*k**3 - 150*k**2 = 0. What is k?
-2, 0, 25
Find m such that -2*m**5/13 + 22*m**4/13 + 94*m**3/13 - 134*m**2/13 - 92*m/13 + 112/13 = 0.
-4, -1, 1, 14
Solve 3*s**2 - 324*s + 2121 = 0.
7, 101
Suppose 2*m**3/11 + 28*m**2/11 - 42*m/11 - 180/11 = 0. Calculate m.
-15, -2, 3
Factor -8*r**3/5 - 18*r**2/5 + 26*r/5.
-2*r*(r - 1)*(4*r + 13)/5
Suppose -8*a**5/9 + 8*a**4/9 + 70*a**3/9 - 8*a**2 + 2*a = 0. What is a?
-3, 0, 1/2, 3
Factor 5*w**4 - 85*w**3 + 75*w**2 + 85*w - 80.
5*(w - 16)*(w - 1)**2*(w + 1)
Factor -27*h**3/5 - 6*h**2/5 + 135*h + 30.
-3*(h - 5)*(h + 5)*(9*h + 2)/5
Solve 2*q**4/5 - 144*q**3/5 + 2116*q**2/5 + 17472*q/5 + 3042 = 0.
-5, -1, 39
Let -3*u**4 + 171*u**3 + 594*u**2 - 100320*u - 201600 = 0. What is u?
-21, -2, 40
Factor s**2 + 154*s + 5929.
(s + 77)**2
Factor 1400*h**2 + 1402*h + 2.
2*(h + 1)*(700*h + 1)
Factor -87*q**3/2 + 480*q**2 - 33*q/2.
-3*q*(q - 11)*(29*q - 1)/2
Solve 2*l**2 - 118*l + 636 = 0.
6, 53
Factor -20*r**2 - 136*r + 192.
-4*(r + 8)*(5*r - 6)
Factor -5*h**5 - 5*h**4.
-5*h**4*(h + 1)
Determine g, given that -4*g**2 + 8*g + 480 = 0.
-10, 12
Determine j so that -j**2/5 + 48*j + 484/5 = 0.
-2, 242
Solve 5*q**3 - 30*q**2 = 0 for q.
0, 6
Factor 5*j**3 - 85*j**2 - 665*j - 575.
5*(j - 23)*(j + 1)*(j + 5)
Determine o, given that 3*o**2/2 - 27*o/2 + 12 = 0.
1, 8
Factor -2*c**3 - 15*c**2 - 16*c + 12.
-(c + 2)*(c + 6)*(2*c - 1)
Suppose 5*v**3/3 - 20*v**2/3 + 5*v = 0. What is v?
0, 1, 3
Solve n**4 + 7*n**3 - 12*n**2 - 68*n + 112 = 0.
-7, -4, 2
Factor -32041*z**2/3 - 358*z/3 - 1/3.
-(179*z + 1)**2/3
Determine i, given that -2*i**5/9 - 4*i**4/3 + 2*i**3/9 + 68*i**2/9 + 8*i/3 - 80/9 = 0.
-5, -2, 1, 2
Factor 5*s**4 + 3*s**3 - 2*s**2.
s**2*(s + 1)*(5*s - 2)
Solve -64*k**5 - 32*k**4 + 348*k**3 - 356*k**2 + 116*k - 12 = 0.
-3, 1/4, 1
Factor -21*a**3 - 888*a**2 - 8169*a - 2262.
-3*(a + 13)*(a + 29)*(7*a + 2)
Factor 2*g**4 - 8*g**3 + 6*g**2 + 8*g - 8.
2*(g - 2)**2*(g - 1)*(g + 1)
Find f such that -14*f**4/3 - 376*f**3/9 - 328*f**2/9 - 64*f/9 = 0.
-8, -2/3, -2/7, 0
Let 24*d**5 - 82*d**4 + 74*d**3 - 8*d**2 - 8*d = 0. What is d?
-1/4, 0, 2/3, 1, 2
Factor -4*m**4 + 876*m**3 - 5160*m**2 + 10256*m - 6816.
-4*(m - 213)*(m - 2)**3
Suppose -3*z**2 + 1227*z + 1230 = 0. Calculate z.
-1, 410
Factor 4*t**3 - 208*t**2 - 220*t + 424.
4*(t - 53)*(t - 1)*(t + 2)
What is l in -2*l**3 - 574*l**2 = 0?
-287, 0
Suppose 5*k**4 + 250*k**3 + 3365*k**2 + 6000*k + 2880 = 0. Calculate k.
-24, -1
Factor -5*s*