ppose -b**2/4 - 11*b - 72 = 0. Calculate b.
-36, -8
What is z in -3*z**4 + 372*z**3 = 0?
0, 124
Suppose -2*x**4 - 4*x**3/3 + 16*x**2/3 = 0. Calculate x.
-2, 0, 4/3
Factor 3*x**2 - 1986*x + 5931.
3*(x - 659)*(x - 3)
Factor -2*u**4 - 292*u**3 - 9714*u**2 + 71440*u + 80864.
-2*(u - 7)*(u + 1)*(u + 76)**2
Find d such that 3*d**2 + 363*d + 7614 = 0.
-94, -27
Factor -w**3/2 + 10*w**2 + 67*w/2 + 23.
-(w - 23)*(w + 1)*(w + 2)/2
Determine l, given that -4*l**2 + 948*l + 1912 = 0.
-2, 239
Determine k so that -4*k**4 - 556*k**3 - 25380*k**2 - 362276*k + 830584 = 0.
-47, 2
Determine p, given that 27*p**5 - 468*p**4 - 1401*p**3 - 774*p**2 - 120*p = 0.
-2, -1/3, 0, 20
Factor 841*s**2 + 348*s + 36.
(29*s + 6)**2
Find j such that -j**4 - 18*j**3 + j**2 + 18*j = 0.
-18, -1, 0, 1
Factor 4*t**2 + 100*t - 216.
4*(t - 2)*(t + 27)
Factor 17*m**2/3 - 23*m/3 + 2.
(m - 1)*(17*m - 6)/3
Let 3*s**4/4 - 51*s**3/2 + 33*s**2 + 462*s + 576 = 0. What is s?
-2, 6, 32
Factor -k**3/4 - 9*k**2/4 + k/4 + 9/4.
-(k - 1)*(k + 1)*(k + 9)/4
Determine z so that 20*z**5 + 45*z**4 - 10*z**3 - 45*z**2 - 10*z = 0.
-2, -1, -1/4, 0, 1
Suppose 3*w**5 + 1161*w**4 + 112899*w**3 + 109431*w**2 - 223494*w = 0. What is w?
-193, -2, 0, 1
Factor 405*n**3 + 3150*n**2 - 715*n + 40.
5*(n + 8)*(9*n - 1)**2
Find c, given that 2*c**5/3 + 52*c**4/3 + 332*c**3/3 - 152*c**2/3 - 910*c/3 + 676/3 = 0.
-13, -2, 1
Factor 2*j**2/13 - 230*j/13 - 36.
2*(j - 117)*(j + 2)/13
Suppose 5*f**4 + 82*f**3 + 29*f**2 - 48*f = 0. Calculate f.
-16, -1, 0, 3/5
Factor -4*d**3 - 388*d**2 - 5928*d.
-4*d*(d + 19)*(d + 78)
Find h such that -h**3/2 - 5*h**2 - 29*h/2 - 10 = 0.
-5, -4, -1
Factor 8*r**3 + 252*r**2 + 988*r + 432.
4*(r + 4)*(r + 27)*(2*r + 1)
Factor -2*u**3/5 + 20*u**2 + 424*u/5 + 432/5.
-2*(u - 54)*(u + 2)**2/5
Find g such that -5*g**2 + 650*g - 21125 = 0.
65
Let -f**2/2 + 4*f + 33/2 = 0. What is f?
-3, 11
Factor x**2/5 + 12*x - 124/5.
(x - 2)*(x + 62)/5
Factor -j**4/3 + 337*j**3/3 - 671*j**2/3 + 335*j/3.
-j*(j - 335)*(j - 1)**2/3
Factor 5*s**4 - 1550*s**3 + 121665*s**2 - 238700*s + 118580.
5*(s - 154)**2*(s - 1)**2
Determine w, given that -7*w**3 - 7250*w**2 - 1876196*w + 536648 = 0.
-518, 2/7
Suppose -115*s**4 - 580*s**3 + 1470*s**2 - 740*s - 35 = 0. What is s?
-7, -1/23, 1
Factor -k**3/5 + 19*k**2/5 + 42*k/5.
-k*(k - 21)*(k + 2)/5
Solve 3*r**2/4 - 8*r - 323/4 = 0 for r.
-19/3, 17
Factor -5*o**3 - 1320*o**2 - 2625*o - 1310.
-5*(o + 1)**2*(o + 262)
Factor 2*h**5/5 + 144*h**4/5 + 594*h**3 + 13068*h**2/5.
2*h**2*(h + 6)*(h + 33)**2/5
Factor -4*b**2 + 2024*b - 256036.
-4*(b - 253)**2
Factor 4*x**3 + 8*x**2 + 4*x.
4*x*(x + 1)**2
Find h, given that h**3/2 - 185*h**2/2 - 93*h = 0.
-1, 0, 186
Factor -2*h**3/11 + 1608*h**2/11 - 430944*h/11 + 38497664/11.
-2*(h - 268)**3/11
Factor 2*l**3/13 - 344*l**2/13 + 14442*l/13 + 30276/13.
2*(l - 87)**2*(l + 2)/13
Factor 5*j**2 - 70*j + 200.
5*(j - 10)*(j - 4)
Find c, given that c**3/2 + 11*c**2 - 43*c/2 - 230 = 0.
-23, -4, 5
Factor 3*b**4/5 - 6*b**3/5 - 36*b**2/5 - 42*b/5 - 3.
3*(b - 5)*(b + 1)**3/5
Find o, given that o**2/3 + 2*o - 7/3 = 0.
-7, 1
What is z in 3*z**5/4 + 15*z**4/4 + 9*z**3/2 - 3*z**2/2 - 21*z/4 - 9/4 = 0?
-3, -1, 1
Factor -c**4/6 - 5*c**3/6 + 7*c**2/2 + 85*c/6 - 50/3.
-(c - 4)*(c - 1)*(c + 5)**2/6
Find t such that 3*t**2/4 + 15*t/2 + 12 = 0.
-8, -2
Find l, given that -3*l**4 + 126*l**3 - 1440*l**2 + 2400*l = 0.
0, 2, 20
Factor 2*b**3 - 82*b**2 + 158*b - 78.
2*(b - 39)*(b - 1)**2
Let -32*f**3/13 - 272*f**2/13 + 830*f/13 - 550/13 = 0. Calculate f.
-11, 5/4
What is g in -16*g**5 - 164*g**4 + 552*g**3 - 268*g**2 - 104*g = 0?
-13, -1/4, 0, 1, 2
Solve 25*p**5 - 85*p**4 - 20*p**3 + 320*p**2 - 320*p + 80 = 0.
-2, 2/5, 1, 2
Factor c**2/2 - 950*c + 451250.
(c - 950)**2/2
Determine h so that -3*h**2/4 + 153*h/4 + 39 = 0.
-1, 52
What is g in 16*g**4 - 300*g**3 - 92*g**2 + 300*g + 76 = 0?
-1, -1/4, 1, 19
Factor -f**4 - 77*f**3 + 240*f**2.
-f**2*(f - 3)*(f + 80)
Solve -23*k**2/10 + 49*k/10 - 13/5 = 0 for k.
1, 26/23
Factor 3*d**5 + 3*d**4 - 18*d**3 - 42*d**2 - 33*d - 9.
3*(d - 3)*(d + 1)**4
Factor -4*n**2/5 - 288*n/5 - 5184/5.
-4*(n + 36)**2/5
Suppose -279*v**2 - 843*v - 18 = 0. Calculate v.
-3, -2/93
What is n in -21*n**5 + 2703*n**4 - 4581*n**3 + 1137*n**2 + 762*n = 0?
-2/7, 0, 1, 127
Factor 5*j**3 + 45*j**2 - 50*j.
5*j*(j - 1)*(j + 10)
Suppose 4*z**3 + 8*z**2 - 100*z - 200 = 0. Calculate z.
-5, -2, 5
Determine a, given that 25*a**4/2 - 865*a**3/2 + 10395*a**2/2 - 47795*a/2 + 26620 = 0.
8/5, 11
Factor 6*l**2/5 - 96*l/5.
6*l*(l - 16)/5
Factor -4*c**4 - 12*c**3 + 348*c**2 + 1148*c - 3528.
-4*(c - 9)*(c - 2)*(c + 7)**2
Suppose -2*y**4 - 8*y**3 + 2*y**2 + 8*y = 0. Calculate y.
-4, -1, 0, 1
Suppose -385*m**5 - 590*m**4 + 2265*m**3 + 1370*m**2 - 980*m + 120 = 0. Calculate m.
-3, -1, 2/11, 2/7, 2
Factor 2*w**4 - 274*w**3 + 1596*w**2 - 3160*w + 2096.
2*(w - 131)*(w - 2)**3
Factor -5*k**3 - 1270*k**2 + 5*k + 1270.
-5*(k - 1)*(k + 1)*(k + 254)
Solve -l**5/8 - 15*l**4/8 - 67*l**3/8 - 129*l**2/8 - 14*l - 9/2 = 0 for l.
-9, -2, -1
Factor 2*j**2/13 - 4*j + 138/13.
2*(j - 23)*(j - 3)/13
Determine c, given that 5*c**5 - 170*c**4 + 1740*c**3 - 4950*c**2 + 3375*c = 0.
0, 1, 3, 15
Find k such that -2*k**5/3 - 16*k**4 + 52*k**3/3 + 16*k**2 - 50*k/3 = 0.
-25, -1, 0, 1
Solve 3*t**2 + 222*t + 4107 = 0.
-37
Factor -8*g**2/5 - 1282*g/5 - 64.
-2*(g + 160)*(4*g + 1)/5
Determine o so that 3*o**5 + 534*o**4 + 2106*o**3 + 3144*o**2 + 2091*o + 522 = 0.
-174, -1
Factor a**3/4 - 5*a**2/4 + a/2 + 2.
(a - 4)*(a - 2)*(a + 1)/4
Factor -2*h**5/9 - 10*h**4/9.
-2*h**4*(h + 5)/9
Factor -507*m**3 + 533*m**2 - 79*m/3 + 1/3.
-(m - 1)*(39*m - 1)**2/3
Let 2*b**4/9 - 4*b**3/9 - 14*b**2/9 - 8*b/9 = 0. Calculate b.
-1, 0, 4
Determine w, given that 4*w**3 - 344*w**2 + 7396*w = 0.
0, 43
Suppose -2*z**4 + 18*z**3 - 48*z**2 + 32*z = 0. Calculate z.
0, 1, 4
Factor -5*a**4 + 30*a**2 + 40*a + 15.
-5*(a - 3)*(a + 1)**3
Let 9*f**3 - 393*f**2 + 255*f + 129 = 0. Calculate f.
-1/3, 1, 43
Suppose -3*z**2/5 + 828*z/5 - 165 = 0. What is z?
1, 275
Factor f**4/6 + 17*f**3/6 - 35*f**2 + 302*f/3 - 260/3.
(f - 5)*(f - 2)**2*(f + 26)/6
Determine l so that 20*l**3 - 35*l**2 - 75*l = 0.
-5/4, 0, 3
What is l in -10*l**3 - 38*l**2 - 28*l = 0?
-14/5, -1, 0
Let 20*g**4 + 648*g**3 + 3596*g**2 - 2664*g - 1600 = 0. Calculate g.
-25, -8, -2/5, 1
Suppose -5*y**4 - 20*y**3 + 85*y**2 + 120*y - 180 = 0. Calculate y.
-6, -2, 1, 3
Factor -4*h**4/3 - 62*h**3 - 902*h**2/3.
-2*h**2*(h + 41)*(2*h + 11)/3
Suppose -4*l**2/7 - 13156*l/7 = 0. Calculate l.
-3289, 0
Factor 2*i**2/13 + 266*i/13 + 264/13.
2*(i + 1)*(i + 132)/13
Factor 9*f**3/4 + 267*f**2/4 - 92*f + 31.
(f + 31)*(3*f - 2)**2/4
What is j in -32*j**5 + 196*j**4 - 440*j**3 + 436*j**2 - 176*j + 16 = 0?
1/8, 1, 2
Solve -r**5/7 + 3*r**4/7 + r**3/7 - 3*r**2/7 = 0.
-1, 0, 1, 3
Factor 2*j**2/5 - 3444*j/5 + 3442/5.
2*(j - 1721)*(j - 1)/5
Factor -6*i**2/11 + 720*i/11 - 21600/11.
-6*(i - 60)**2/11
Factor -972*v**3/5 - 864*v**2/5 + 21*v - 3/5.
-3*(v + 1)*(18*v - 1)**2/5
Solve -2*p**3/3 - 8*p**2/3 + 10*p/3 = 0 for p.
-5, 0, 1
Factor -2*n**2/23 - 24*n/23 + 128/23.
-2*(n - 4)*(n + 16)/23
Factor 16*v**3 + 112*v**2 - 444*v + 360.
4*(v + 10)*(2*v - 3)**2
Let k**5 - 8*k**4 + 5*k**3 + 50*k**2 - 36*k - 72 = 0. Calculate k.
-2, -1, 2, 3, 6
Factor 39*p**4 + 162*p**3 + 180*p**2 + 24*p.
3*p*(p + 2)**2*(13*p + 2)
Let 2*o**5/7 - 4*o**3/7 + 2*o/7 = 0. What is o?
-1, 0, 1
Factor -r**3 + 31*r**2 + 801*r + 3969.
-(r - 49)*(r + 9)**2
Factor 169*d**2/3 + 1794*d + 14283.
(13*d + 207)**2/3
Find c such that -2*c**4/3 - 36*c**3 + 152*c**2 - 464*c/3 = 0.
-58, 0, 2
Factor -2*z**4 + 24*z**3 - 88*z**2 + 96*z.
-2*z*(z - 6)*(z - 4)*(z - 2)
Factor 4*u**4 - 108*u**3 - 928*u**2 - 816*u.
4*u*(u - 34)*(u + 1)*(u + 6)
Factor -2*f**4/15 + 6*f**3/5 - 72*f/5.
-2*f*(f - 6)**2*(f + 3)/15
Find r, given that -5*r**5 + 20*r**4 - 10*r**3 - 20*r**2 + 15*r = 0.
-1, 0, 1, 3
Solve 3*s**5/5 + 18*s**4/5 + 39*s**3/5 + 36*s**2/5 + 12*s/5 = 0.
-2, -1, 0
What is d in -d**4/3 + 31*d**3/3 + 4*d**2 - 356*d/3 - 496/3 = 0?
-2, 4, 31
Factor -5*r**2 - 45*r + 50.
-5*(r - 1)*(r + 10)
Factor -4*n**4 - 64*n**3 + 264*n**2 + 704*n + 380.
-4*(n - 5)*(n + 1)**2*(n + 19)
Determine i, given that -50*i**5 - 6410*i**4 - 19998*i**3 + 338*i**2 + 10976*i - 3000 = 0.
-125, -3, -1, 2/5
Find s such that 