2, -1/11, 1
Factor 327*n**3 + 657*n**2 + 333*n + 3.
3*(n + 1)**2*(109*n + 1)
Suppose 10*n**5/3 + 349*n**4/3 + 1258*n**3/3 + 1543*n**2/3 + 748*n/3 + 124/3 = 0. What is n?
-31, -2, -1, -1/2, -2/5
Find m, given that -4*m**3 + 76*m**2 - 256*m + 240 = 0.
2, 15
Factor -5*b**3 + 180*b**2 + 375*b + 190.
-5*(b - 38)*(b + 1)**2
Determine b so that 2*b**5 - 8*b**3 = 0.
-2, 0, 2
Factor 3*q**5 - 15*q**4 + 27*q**3 - 21*q**2 + 6*q.
3*q*(q - 2)*(q - 1)**3
Solve -b**3/9 - 28*b**2/9 + 31*b/9 + 58/9 = 0.
-29, -1, 2
Solve -21*h**5/2 + 81*h**4/2 - 51*h**3/2 - 93*h**2/2 + 36*h + 6 = 0 for h.
-1, -1/7, 1, 2
Factor -5*n**2 + 60*n + 65.
-5*(n - 13)*(n + 1)
Factor -3*p**3/5 + 87*p**2/5 - 84*p/5.
-3*p*(p - 28)*(p - 1)/5
Suppose -k**3/5 + 96*k**2/5 - 304*k = 0. Calculate k.
0, 20, 76
Find i, given that -i**2 + 353*i + 2888 = 0.
-8, 361
Determine h so that 8*h**4/5 + 18*h**3/5 + 4*h**2/5 = 0.
-2, -1/4, 0
Factor g**2/5 - 29*g/5 + 28/5.
(g - 28)*(g - 1)/5
Determine r, given that -3498*r**2 + 1162*r + 4/3 = 0.
-2/1749, 1/3
Solve w**5/4 + 13*w**4/4 + 9*w**3/2 - 81*w**2 - 270*w = 0 for w.
-6, 0, 5
Factor -5*f**3 + 1610*f**2 - 3185*f - 4800.
-5*(f - 320)*(f - 3)*(f + 1)
Solve 10*z**4/17 - 44*z**3/17 + 46*z**2/17 - 12*z/17 = 0.
0, 2/5, 1, 3
Determine y so that -2*y**2 - 6500*y - 5281250 = 0.
-1625
Factor -2*a**2/25 + 14*a/25 + 16/25.
-2*(a - 8)*(a + 1)/25
Factor 455*l**3 - 3590*l**2 + 6880*l + 800.
5*(l - 4)**2*(91*l + 10)
Factor s**2/2 + 44*s + 1575/2.
(s + 25)*(s + 63)/2
Factor -3*c**4 + 21*c**3 + 27*c**2 - 21*c - 24.
-3*(c - 8)*(c - 1)*(c + 1)**2
Factor 5*j**4/4 - 15*j**3 + 45*j**2 - 40*j.
5*j*(j - 8)*(j - 2)**2/4
Factor -c**3 - 2720*c**2 - 10868*c - 10864.
-(c + 2)**2*(c + 2716)
Let -2*r**4/3 - 2*r**3/3 + 12*r**2 + 104*r/3 + 80/3 = 0. What is r?
-2, 5
Factor 2*g**4 - 2*g**3 - 12*g**2 + 8*g + 16.
2*(g - 2)**2*(g + 1)*(g + 2)
Factor -3*j**2/2 - 378*j.
-3*j*(j + 252)/2
What is a in -3*a**5 + 57*a**3 - 6*a**2 - 144*a + 96 = 0?
-4, -2, 1, 4
Solve -2*a**4/5 - a**3 - 4*a**2/5 - a/5 = 0 for a.
-1, -1/2, 0
Factor -2*g**4 - 10*g**3 + 28*g**2.
-2*g**2*(g - 2)*(g + 7)
Suppose -4*b**2 + 20*b + 96 = 0. What is b?
-3, 8
Factor 2*k**3 - 308*k**2 + 610*k - 304.
2*(k - 152)*(k - 1)**2
Let w**2 + 61*w + 60 = 0. What is w?
-60, -1
Factor -5*v**3/3 - 95*v**2/3.
-5*v**2*(v + 19)/3
Suppose 2*w**3 - 208*w**2 - 210*w = 0. Calculate w.
-1, 0, 105
Suppose -2*z**4/19 + 58*z**3/19 - 56*z**2/19 = 0. What is z?
0, 1, 28
Let 5*w**2 - 6170*w + 1903445 = 0. Calculate w.
617
Factor -5*h**2 - 115*h + 250.
-5*(h - 2)*(h + 25)
Let -52*u**2/5 - 1604*u/5 + 248/5 = 0. Calculate u.
-31, 2/13
Find b, given that 490*b**2 + 407*b/2 + 3 = 0.
-2/5, -3/196
Solve -5*q**3 + 90*q**2 + 95*q = 0 for q.
-1, 0, 19
Factor -4*r**3/9 + 5*r**2 - 11*r/9.
-r*(r - 11)*(4*r - 1)/9
Find t such that -3*t**3 + 9*t + 6 = 0.
-1, 2
Factor 3*s**2 + 51*s + 90.
3*(s + 2)*(s + 15)
Solve 3*m**4 + 2482*m**3/5 + 3613*m**2/5 + 818*m/5 - 328/5 = 0.
-164, -1, -2/3, 1/5
Let 2*u**4 + 21*u**3 + 57*u**2 + 14*u - 24 = 0. Calculate u.
-6, -4, -1, 1/2
Let -6*w**4 - 280*w**3 - 3356*w**2 - 2024*w + 1058 = 0. What is w?
-23, -1, 1/3
Solve -2*p**3/15 - 96*p**2/5 - 4608*p/5 - 73728/5 = 0 for p.
-48
Solve -3*d**4/5 + 912*d**3/5 - 70218*d**2/5 + 137712*d/5 - 68403/5 = 0 for d.
1, 151
Determine y so that -2*y**2/19 - 1780*y/19 = 0.
-890, 0
What is t in t**4 - 13*t**3 - 125*t**2 - 291*t - 180 = 0?
-3, -1, 20
Factor -3*p**4 + 45*p**3 - 81*p**2 + 39*p.
-3*p*(p - 13)*(p - 1)**2
Find q, given that -68*q**5/7 + 104*q**4/7 + 1356*q**3/7 + 2512*q**2/7 + 1712*q/7 + 384/7 = 0.
-2, -1, -8/17, 6
What is k in 2*k**2/19 - 18*k/19 - 44/19 = 0?
-2, 11
Let -g**5/4 + 3*g**4 - 39*g**3/4 + 7*g**2 = 0. Calculate g.
0, 1, 4, 7
Suppose 2*i**5/15 + 4*i**4/3 - 44*i**3/5 + 256*i**2/15 - 206*i/15 + 4 = 0. Calculate i.
-15, 1, 2
Factor u**2/8 + 17*u/8 + 15/4.
(u + 2)*(u + 15)/8
Determine w so that 2*w**3/9 - 10*w**2/9 - 28*w/9 = 0.
-2, 0, 7
Factor -242*j**2/3 - 1454*j/9 - 4/9.
-2*(j + 2)*(363*j + 1)/9
Suppose -y**4/8 - 193*y**3/8 + 397*y**2/8 + 1369*y/8 + 195/2 = 0. Calculate y.
-195, -1, 4
Factor -c**2/7 + 55*c - 384/7.
-(c - 384)*(c - 1)/7
Suppose -4*q**5/3 + 32*q**4/3 - 56*q**3/3 - 32*q**2/3 + 20*q = 0. Calculate q.
-1, 0, 1, 3, 5
Factor -2*o**2 + 20*o + 48.
-2*(o - 12)*(o + 2)
Factor 3*x**4 + 27*x**3 + 69*x**2 + 45*x.
3*x*(x + 1)*(x + 3)*(x + 5)
Let -5*y**4 + 35*y**3 - 45*y**2 - 135*y + 270 = 0. Calculate y.
-2, 3
Determine n, given that -25*n**5 - 15*n**4 + 35*n**3 + 15*n**2 - 10*n = 0.
-1, 0, 2/5, 1
Factor -18*w**5 + 6*w**4 + 16*w**3 - 8*w**2.
-2*w**2*(w + 1)*(3*w - 2)**2
Suppose -156*q**5/11 + 54*q**4/11 + 1416*q**3/11 - 486*q**2/11 - 108*q/11 = 0. What is q?
-3, -2/13, 0, 1/2, 3
Let -11*b**5 + 13*b**4 + 9*b**3 - 13*b**2 + 2*b = 0. Calculate b.
-1, 0, 2/11, 1
Let 2*d**4/23 - 222*d**3/23 + 6484*d**2/23 - 17928*d/23 + 11664/23 = 0. What is d?
1, 2, 54
Factor q**3 - 15*q**2 + 48*q + 64.
(q - 8)**2*(q + 1)
Suppose 3*n**3 + 10*n**2 + 9*n + 2 = 0. What is n?
-2, -1, -1/3
Suppose -120*l**2 - 8*l + 90 = 0. Calculate l.
-9/10, 5/6
Factor 4*g**4 + 40*g**3 + 128*g**2 + 152*g + 60.
4*(g + 1)**2*(g + 3)*(g + 5)
Suppose 5*y**2 + 830*y - 1680 = 0. What is y?
-168, 2
Factor 5*w**4/3 - 6*w**3 - 113*w**2/3 - 14*w.
w*(w - 7)*(w + 3)*(5*w + 2)/3
Let -5*l**3/3 - 200*l**2 - 8000*l - 320000/3 = 0. Calculate l.
-40
Let -75*b**3 - 294*b**2 - 201*b + 18 = 0. Calculate b.
-3, -1, 2/25
Factor j**3/3 - 80*j**2/3 + 1600*j/3.
j*(j - 40)**2/3
Find v such that v**3/4 - 259*v**2/4 - 131*v/2 + 130 = 0.
-2, 1, 260
Factor -j**2/2 - j/2 + 28.
-(j - 7)*(j + 8)/2
Factor -2*o**2 - 76*o.
-2*o*(o + 38)
Determine y so that -3*y**4 + 39*y**3 + 9*y**2 - 891*y - 1458 = 0.
-3, -2, 9
Let -15*j**5 - 50*j**4 + 50*j**2 + 15*j = 0. Calculate j.
-3, -1, -1/3, 0, 1
Let 2*l**3/5 - 22*l**2/5 + 14*l/5 + 294/5 = 0. What is l?
-3, 7
Factor -7*t**3 - 16*t**2 - 11*t - 2.
-(t + 1)**2*(7*t + 2)
Factor m**3/5 - 8*m**2/5 - 9*m - 36/5.
(m - 12)*(m + 1)*(m + 3)/5
Let 2*c**5/7 - 2*c**4/7 - 8*c**3/7 + 8*c**2/7 = 0. What is c?
-2, 0, 1, 2
Factor -4*h**4 + 3736*h**3 - 879796*h**2 + 3474480*h - 3459600.
-4*(h - 465)**2*(h - 2)**2
Factor -18*z**3/5 + 411*z**2/5 + 504*z/5.
-3*z*(z - 24)*(6*z + 7)/5
Factor 2*s**2 + 286*s + 284.
2*(s + 1)*(s + 142)
Determine r so that -4*r**5 + 48*r**4 - 120*r**3 - 544*r**2 + 2940*r - 3600 = 0.
-4, 3, 5
Determine x, given that -5*x**5 - 170*x**4 - 590*x**3 + 14940*x**2 - 27405*x + 13230 = 0.
-21, 1, 6
Find r, given that -59405*r**5 - 235440*r**4 - 228920*r**3 + 8640*r**2 - 80*r = 0.
-2, 0, 2/109
Factor s**2 - 2*s - 35.
(s - 7)*(s + 5)
Suppose -6*h**3 + 21*h**2/2 + 333*h/2 + 243 = 0. Calculate h.
-3, -2, 27/4
Factor 4*p**2 + 13908*p - 13912.
4*(p - 1)*(p + 3478)
Let 5*q**4 + 145*q**3 + 520*q**2 + 500*q = 0. Calculate q.
-25, -2, 0
Solve -2*b**4/3 - 50*b**3/3 + 78*b**2 + 50*b/3 - 232/3 = 0.
-29, -1, 1, 4
Find i such that -3*i**4 + 3*i**3 + 45*i**2 + 69*i + 30 = 0.
-2, -1, 5
Let 4*g**3/7 - 788*g**2/7 + 37600*g/7 + 120000/7 = 0. What is g?
-3, 100
Find t, given that -t**4/5 + 23*t**3/5 - 25*t**2 + 5*t + 150 = 0.
-2, 5, 15
Suppose -y**3/3 + 107*y**2/3 - 416*y/3 + 412/3 = 0. Calculate y.
2, 103
Suppose -2*p**2 + 102*p - 196 = 0. Calculate p.
2, 49
Factor 2*s**2/13 - 268*s/13 + 528/13.
2*(s - 132)*(s - 2)/13
Factor t**2/7 + 2389*t/7 + 682.
(t + 2)*(t + 2387)/7
Determine l so that -5*l**4 - 40*l**3 - 110*l**2 - 120*l - 45 = 0.
-3, -1
Find l, given that 4*l**3 - 1276*l**2 + 102396*l - 101124 = 0.
1, 159
Solve n**3/11 - n**2/11 - 40*n/11 + 112/11 = 0.
-7, 4
Factor -1083*j**3/5 - 12084*j**2/5 - 6012*j - 4320.
-3*(j + 8)*(19*j + 30)**2/5
Suppose -i**2/8 - 47*i/2 + 96 = 0. Calculate i.
-192, 4
Determine l so that 5*l**4/3 - 220*l**3/3 - 950*l**2 - 9500*l/3 - 6875/3 = 0.
-5, -1, 55
What is g in -3*g**3/5 - 4569*g**2/5 + 9147*g/5 - 915 = 0?
-1525, 1
Suppose 18*s**3/7 - 14*s**2 - 4748*s/7 + 304 = 0. Calculate s.
-14, 4/9, 19
Find b, given that 2*b**4 + 2*b**3 - 8*b**2 - 8*b = 0.
-2, -1, 0, 2
Let -5*f**5 - 630*f**4 + 650*f**3 + 1880*f**2 - 3165*f + 1270 = 0. Calculate f.
-127, -2, 1
Factor 4*l**2 + 28*l + 48.
4*(l + 3)*(l + 4)
Factor 20*y**2 + 412*y - 168.
4*(y + 21)*(5*y - 2)
Suppose x**2/6 + 41*x/3 + 1681/6 = 0. What is x?
-41
Solve t**5/11 - t**4 + 18*t**3/11 + 2*t**2/11 - 19*t/11 + 9/11 = 0 for t.
-1, 1, 9
Factor -u**3 - 11*u**2 - 30*u.
