 - 96.
(p - 2)*(p + 48)
Solve -4*a**5 + 420*a**4 + 1288*a**3 + 864*a**2 = 0 for a.
-2, -1, 0, 108
What is m in -2*m**5 + 14*m**4 + 14*m**3 - 158*m**2 - 12*m + 144 = 0?
-3, -1, 1, 4, 6
Factor p**3/4 - 63*p**2/4 + 31*p/2.
p*(p - 62)*(p - 1)/4
Factor -f**3/11 - 23*f**2 + 513*f/11 + 765/11.
-(f - 3)*(f + 1)*(f + 255)/11
Suppose 147*a**4/4 - 679*a**3/2 + 381*a**2 - 138*a + 16 = 0. What is a?
2/7, 2/3, 8
Suppose 9*y**4/2 - 37*y**3 - 371*y**2/2 + 538*y - 110 = 0. Calculate y.
-5, 2/9, 2, 11
Factor 3*z**3/8 - 3*z/8.
3*z*(z - 1)*(z + 1)/8
Factor 5*h**5 + 50*h**4 + 60*h**3 - 360*h**2.
5*h**2*(h - 2)*(h + 6)**2
Factor 4*d**3 - 92*d**2 - 104*d + 192.
4*(d - 24)*(d - 1)*(d + 2)
Factor o**4 - 49*o**3 - 105*o**2 + 153*o.
o*(o - 51)*(o - 1)*(o + 3)
Let 4*g**2 - 20*g + 16 = 0. What is g?
1, 4
Factor b**4/6 - 7*b**3/6 - 4*b**2/3.
b**2*(b - 8)*(b + 1)/6
Factor 3*a**2 - 15003*a + 15000.
3*(a - 5000)*(a - 1)
Find z such that -82*z**2/3 + 3620*z/9 - 176/9 = 0.
2/41, 44/3
Determine x, given that 2*x**3 + 64*x**2 + 232*x + 224 = 0.
-28, -2
Factor 108*b**4 - 648*b**3 + 576*b**2 - 184*b + 20.
4*(b - 5)*(3*b - 1)**3
Suppose -4*d**2 - 36*d + 88 = 0. What is d?
-11, 2
Determine j, given that 2*j**5/5 - 16*j**4/5 - 6*j**3/5 + 44*j**2/5 + 32*j/5 = 0.
-1, 0, 2, 8
Solve 3*q**4/2 - 15*q**3/2 - 12*q**2 + 18*q = 0.
-2, 0, 1, 6
Determine o so that 4*o**2/9 - 56*o/9 - 704/9 = 0.
-8, 22
Factor -p**3/7 - 33*p**2/7 + 73*p/7 + 15.
-(p - 3)*(p + 1)*(p + 35)/7
Factor -5000*i**2/21 + 200*i/21 - 2/21.
-2*(50*i - 1)**2/21
Find q such that -2*q**3 + 166*q**2 = 0.
0, 83
Let t**3 + 5*t**2 - 33*t + 27 = 0. What is t?
-9, 1, 3
Factor r**4/4 - 5*r**3/4 - 2*r**2 + 12*r.
r*(r - 4)**2*(r + 3)/4
Factor 3*o**3/5 - 84*o**2/5 - 177*o/5 - 18.
3*(o - 30)*(o + 1)**2/5
Find l such that -2*l**3 + 360*l**2 - 21306*l + 412988 = 0.
46, 67
Determine x, given that -129*x**2 - 381*x + 18 = 0.
-3, 2/43
Factor 2*a**2 + 86*a.
2*a*(a + 43)
Factor -c**3 - 3417*c**2/4 + 1283*c/2 + 855/4.
-(c - 1)*(c + 855)*(4*c + 1)/4
Factor r**3 - 9*r**2 - 57*r + 65.
(r - 13)*(r - 1)*(r + 5)
Factor -3*j**3/5 + 267*j**2/5.
-3*j**2*(j - 89)/5
Suppose a**2 + 464*a + 53824 = 0. What is a?
-232
Factor -5*n**2 + 470*n - 11045.
-5*(n - 47)**2
Factor -3*k**2 + 96*k - 768.
-3*(k - 16)**2
Determine q, given that 44*q**4 + 404*q**3 + 28*q**2 - 404*q - 72 = 0.
-9, -1, -2/11, 1
Solve 5*m**2 - 5110*m + 1305605 = 0 for m.
511
What is v in v**3/5 - 2094*v**2/5 + 1461612*v/5 - 340068392/5 = 0?
698
Let -33*h**3/8 - 51*h**2/8 - 9*h/4 = 0. What is h?
-1, -6/11, 0
Let 44*n**4 - 6*n**3 - 132*n**2 - 70*n + 12 = 0. What is n?
-1, 3/22, 2
Determine w, given that 4*w**4 + 2256*w**3 + 477144*w**2 + 44851536*w + 1581016644 = 0.
-141
Factor x**4 - 189*x**3 + 9209*x**2 - 26319*x + 17298.
(x - 93)**2*(x - 2)*(x - 1)
Suppose 5*h**3 - 20*h**2 + 5*h + 30 = 0. Calculate h.
-1, 2, 3
Factor -5*y**3 - 890*y**2 - 39605*y.
-5*y*(y + 89)**2
Suppose q**2/4 - 55*q/2 + 3025/4 = 0. What is q?
55
Factor 2*q**4 - 632*q**3 + 620*q**2 + 3144*q + 1890.
2*(q - 315)*(q - 3)*(q + 1)**2
Factor -3*v**2 + 8580*v + 8583.
-3*(v - 2861)*(v + 1)
Factor -i**2/2 - 659*i/2 + 993.
-(i - 3)*(i + 662)/2
Factor 3*o**4/7 - 3*o**3/7 - 12*o**2/7 + 12*o/7.
3*o*(o - 2)*(o - 1)*(o + 2)/7
What is l in -l**2/4 + 1233*l/2 + 2467/4 = 0?
-1, 2467
Let 2*l**2/5 + 636*l/5 - 256 = 0. What is l?
-320, 2
Determine l so that -2*l**4/13 - 154*l**3/13 - 144*l**2/13 + 616*l/13 + 608/13 = 0.
-76, -2, -1, 2
Factor -20*r**2 + 55712*r + 22288.
-4*(r - 2786)*(5*r + 2)
Factor w**5 - 2*w**4 - 30*w**3 + 92*w**2 - 91*w + 30.
(w - 5)*(w - 1)**3*(w + 6)
Find x such that x**4 - 10*x**3 + 8*x**2 + 64*x = 0.
-2, 0, 4, 8
Factor -s**3/4 - 7*s**2/4 - 3*s/2.
-s*(s + 1)*(s + 6)/4
Solve -322*i**2 + 314*i + 8 = 0 for i.
-4/161, 1
Factor l**4/4 - 103*l**2/4 - 99*l/2.
l*(l - 11)*(l + 2)*(l + 9)/4
Factor 2*a**2/19 - 10*a/19 - 28/19.
2*(a - 7)*(a + 2)/19
Factor -4*r**2/3 - 84*r - 1160/3.
-4*(r + 5)*(r + 58)/3
Let -2*s**4 + 40*s**3 - 252*s**2 + 392*s + 686 = 0. Calculate s.
-1, 7
What is s in s**5/5 + 16*s**4/5 - 11*s**3/5 - 694*s**2/5 + 704*s/5 + 3872/5 = 0?
-11, -2, 4
Factor -2*n**2 - 258*n.
-2*n*(n + 129)
Solve -3*u**2 - 63*u - 114 = 0.
-19, -2
Factor -4*i**3/5 + 16*i/5.
-4*i*(i - 2)*(i + 2)/5
Suppose 2*i**5 - 1502*i**4 + 284246*i**3 - 843746*i**2 + 840752*i - 279752 = 0. What is i?
1, 374
Determine k so that -2*k**4 + 30*k**3 + 34*k**2 - 30*k - 32 = 0.
-1, 1, 16
What is a in -a**5/8 - 3*a**4/2 + 99*a**3/8 - 79*a**2/4 + 9*a = 0?
-18, 0, 1, 4
Suppose 10*n**2/7 - 162*n/7 + 32/7 = 0. What is n?
1/5, 16
Let -s**2/12 - 8*s + 100/3 = 0. Calculate s.
-100, 4
Solve -155*d**3 + 626*d**2 - 644*d + 24 = 0 for d.
6/155, 2
Determine l so that l**3/4 - 5*l**2/4 - l/4 + 5/4 = 0.
-1, 1, 5
Solve 3*p**3 + 165*p**2 + 162*p = 0 for p.
-54, -1, 0
Let -4*z**5 + 10*z**4 - 4*z**3 = 0. What is z?
0, 1/2, 2
Let 2*t**4 - 10*t**3 - 114*t**2 - 190*t - 88 = 0. Calculate t.
-4, -1, 11
Determine m, given that 2*m**3/5 - 2504*m**2/15 + 222*m - 832/15 = 0.
1/3, 1, 416
Factor -y**3/8 + 61*y**2/8 - 1015*y/8 + 2523/8.
-(y - 29)**2*(y - 3)/8
Factor 2*b**4 + 88*b**3 + 168*b**2.
2*b**2*(b + 2)*(b + 42)
Find f, given that -3*f**5 - 24*f**4 + 6*f**3 + 48*f**2 - 3*f - 24 = 0.
-8, -1, 1
Find a such that -a**5 - 2*a**4 + 11*a**3 + 4*a**2 - 28*a + 16 = 0.
-4, -2, 1, 2
Suppose 15625*l**5/4 + 36875*l**4/4 + 13775*l**3/2 + 3501*l**2/2 + 729*l/4 + 27/4 = 0. Calculate l.
-1, -3/25
Factor 4*r**4 + 12*r**3 - 12*r**2 - 28*r + 24.
4*(r - 1)**2*(r + 2)*(r + 3)
Let -4*k**5 + 204*k**4 + 32*k**3 - 1632*k**2 - 64*k + 3264 = 0. Calculate k.
-2, 2, 51
Suppose -i**4 + 34*i**3 + 7*i**2 - 244*i + 204 = 0. What is i?
-3, 1, 2, 34
Factor -4*n**5 - 8*n**4 + 32*n**3 - 8*n**2 - 28*n + 16.
-4*(n - 1)**3*(n + 1)*(n + 4)
Factor 3*j**5 + j**4 - 12*j**3 - 4*j**2.
j**2*(j - 2)*(j + 2)*(3*j + 1)
Determine f so that f**3/2 + 41*f**2/2 + 79*f/2 + 39/2 = 0.
-39, -1
Factor 2*f**2/5 - 398*f/5 + 1176/5.
2*(f - 196)*(f - 3)/5
Factor -2*g**2/11 + 120*g/11 - 232/11.
-2*(g - 58)*(g - 2)/11
Find r, given that -2*r**3/9 - 10*r**2/9 - 14*r/9 - 2/3 = 0.
-3, -1
Determine n so that 4*n**2 - 368*n = 0.
0, 92
Factor 4*y**4/5 - 36*y**2/5 + 16*y/5 + 48/5.
4*(y - 2)**2*(y + 1)*(y + 3)/5
Factor 3*r**3/8 + 87*r**2/8.
3*r**2*(r + 29)/8
Factor 5*y**2 - 15*y + 10.
5*(y - 2)*(y - 1)
Factor 2*m**3 + 1704*m**2 + 483936*m + 45812608.
2*(m + 284)**3
Find i, given that -3*i**3 - 33*i**2 + 240*i = 0.
-16, 0, 5
Factor -4*k**3/7 + 344*k**2/7 + 204*k + 1080/7.
-4*(k - 90)*(k + 1)*(k + 3)/7
Determine o so that -4*o**4 + 40*o**3 - 132*o**2 + 176*o - 80 = 0.
1, 2, 5
Suppose -90*p**3 + 447*p**2 + 15*p = 0. Calculate p.
-1/30, 0, 5
Factor i**3 - 39*i**2 - i + 39.
(i - 39)*(i - 1)*(i + 1)
Factor d**2/4 - d + 1.
(d - 2)**2/4
Let -7*f**4/5 + 156*f**3/5 - 191*f**2/5 + 42*f/5 = 0. Calculate f.
0, 2/7, 1, 21
Factor -i**2 - 19*i + 20.
-(i - 1)*(i + 20)
Determine a so that 3*a**5 + 6*a**4 - 33*a**3 - 120*a**2 - 132*a - 48 = 0.
-2, -1, 4
Factor n**5/7 + 5*n**4/7 - 2*n**3 + 2*n**2/7 + 13*n/7 - 1.
(n - 1)**3*(n + 1)*(n + 7)/7
Find n, given that 2*n**3/9 - 34*n**2/9 + 182*n/9 - 98/3 = 0.
3, 7
Find y such that 3*y**3 - 402*y**2 - 1671*y + 2070 = 0.
-5, 1, 138
Solve 12*s**4 - 8*s**3 - 148*s**2 - 48*s = 0.
-3, -1/3, 0, 4
Factor 10*q**3/9 + 866*q**2/9 + 512*q/9 - 344/9.
2*(q + 1)*(q + 86)*(5*q - 2)/9
Let -9*m**3 - 92*m**2 - 101*m - 18 = 0. What is m?
-9, -1, -2/9
Let 3*l**5 + 15*l**4 - 252*l**3 = 0. What is l?
-12, 0, 7
Factor -2*l**3/7 + 18*l**2/7 - 52*l/7 + 48/7.
-2*(l - 4)*(l - 3)*(l - 2)/7
Find q such that -q**4/4 + 5*q**3/2 - 25*q**2/4 + 9 = 0.
-1, 2, 3, 6
Factor 36*h**3 - 480*h**2 + 2128*h - 3136.
4*(h - 4)*(3*h - 14)**2
Factor -3*y**4 - 1080*y**3 + 3*y**2 + 1080*y.
-3*y*(y - 1)*(y + 1)*(y + 360)
Find u such that -45*u**3 - 55*u**2 + 890*u + 200 = 0.
-5, -2/9, 4
Let -3*u**2/4 + 51*u/4 + 165/2 = 0. Calculate u.
-5, 22
Let 3*g**5/2 - 9*g**4/2 - 3*g**3/2 + 21*g**2/2 - 6 = 0. What is g?
-1, 1, 2
Factor d**4/5 + 51*d**3/5 + 135*d**2 + 125*d.
d*(d + 1)*(d + 25)**2/5
Let -6*j**4/7 - 59*j**3/7 - 44*j**2/7 + 9*j/7 = 0. Calculate j.
-9, -1, 0, 1/6
Find p, given that -10*p**5 + 5*p**4 + 65*p**3 + 30*p**2 = 0.
-2, -1/2, 0, 3
Factor -2*r**3 - 124*r**2 + 806*r - 680.
-2*(r - 5)*(r - 1)*(r + 68)
Factor -3*f**2 + 222*f - 432.
-3*(f - 72)*(f - 2)
Factor 4*d**2 + 708*d + 1400.
4*(d