e r, given that -3*r**3/5 + 6*r**2/5 - 3*r/5 = 0.
0, 1
Determine d so that -21*d**5/5 - 51*d**4/5 + 9*d**3 + 39*d**2 + 156*d/5 + 36/5 = 0.
-2, -1, -3/7, 2
Suppose -20*v**3 + 55*v**2 = 0. Calculate v.
0, 11/4
Find r, given that -2*r**4/9 + 26*r**3/9 + 74*r**2/9 - 218*r/9 + 40/3 = 0.
-4, 1, 15
Suppose -3*b**5/5 + 84*b**4/5 + 96*b**3/5 - 258*b**2/5 - 93*b/5 + 174/5 = 0. What is b?
-2, -1, 1, 29
Determine o, given that 3*o**3 + 9*o**2 - 48*o + 36 = 0.
-6, 1, 2
Factor r**2 - 23*r.
r*(r - 23)
Factor -4*u**2 - 64*u - 156.
-4*(u + 3)*(u + 13)
Suppose 3*b**2 - 1362*b + 154587 = 0. Calculate b.
227
Factor l**5/6 - 2*l**4/3 + l**3/3 + 2*l**2/3 - l/2.
l*(l - 3)*(l - 1)**2*(l + 1)/6
Factor 3*a**4 + 12*a**3 + 12*a**2.
3*a**2*(a + 2)**2
Suppose -c**4/5 - 97*c**3/5 = 0. Calculate c.
-97, 0
Factor j**3/2 - 159*j**2/2 + 6399*j/2 - 6241/2.
(j - 79)**2*(j - 1)/2
Suppose h**4/5 + 12*h**3/5 + 19*h**2/5 - 12*h/5 - 4 = 0. What is h?
-10, -2, -1, 1
Determine r, given that -20*r**4 - 655*r**3 - 3260*r**2 - 4245*r - 1620 = 0.
-27, -4, -1, -3/4
Solve 4*m**5 + 16*m**4 - 60*m**3 - 280*m**2 - 64*m + 384 = 0.
-4, -3, -2, 1, 4
Determine i, given that -4*i**3 - 396*i**2 - 1160*i - 768 = 0.
-96, -2, -1
Factor 4*f**2/5 - 36*f/5 - 72.
4*(f - 15)*(f + 6)/5
Let 2*s**3/11 - 432*s**2/11 + 23328*s/11 = 0. Calculate s.
0, 108
Factor a**3/3 + 41*a**2/3 + 436*a/3 + 132.
(a + 1)*(a + 18)*(a + 22)/3
Factor j**3 + 163*j**2 - 164*j.
j*(j - 1)*(j + 164)
Find p, given that 4*p**4 + 40*p**3 + 68*p**2 - 112*p = 0.
-7, -4, 0, 1
Factor w**3 + 292*w**2/7 + 29*w - 82/7.
(w + 1)*(w + 41)*(7*w - 2)/7
Factor -b**4 + 2*b**3 + 11*b**2 - 12*b - 36.
-(b - 3)**2*(b + 2)**2
Let -2*o**3/11 - 6*o**2/11 + 12*o/11 + 16/11 = 0. What is o?
-4, -1, 2
Factor -s**5/7 + 263*s**4/7 - 22416*s**3/7 + 560520*s**2/7 + 4957200*s/7 + 4374000/7.
-(s - 90)**3*(s + 1)*(s + 6)/7
Factor 10*j**2/3 - 1045*j/6 + 130/3.
5*(j - 52)*(4*j - 1)/6
Factor j**2/4 + 17*j/4 - 55/2.
(j - 5)*(j + 22)/4
Solve 912673*g**3/5 - 479859*g**2/5 + 84099*g/5 - 4913/5 = 0 for g.
17/97
Factor v**2 - 39*v - 40.
(v - 40)*(v + 1)
Find x such that -5*x**5 - 65*x**4 - 115*x**3 + 425*x**2 + 660*x - 900 = 0.
-10, -3, 1, 2
What is o in 16*o**3/3 - 212*o**2/3 + 52*o/3 = 0?
0, 1/4, 13
Factor l**5/8 + 73*l**4/8.
l**4*(l + 73)/8
What is v in 2*v**5/5 + 22*v**4/5 + 74*v**3/5 + 58*v**2/5 - 76*v/5 - 16 = 0?
-5, -4, -2, -1, 1
Factor 324*g**4 + 2088*g**3 + 3796*g**2 + 1392*g + 144.
4*(g + 3)**2*(9*g + 2)**2
Find s, given that -3*s**5 - 84*s**4 - 228*s**3 - 66*s**2 + 231*s + 150 = 0.
-25, -2, -1, 1
Factor 5*s**2 + 270*s - 275.
5*(s - 1)*(s + 55)
Find m, given that -5*m**3 + 235*m**2 = 0.
0, 47
Find g, given that 5*g**4/4 - 19*g**3/2 - 371*g**2/4 + 62*g + 39 = 0.
-6, -2/5, 1, 13
What is d in 4*d**2 - 1440*d = 0?
0, 360
Factor -2*g**3/11 + 108*g**2/11 + 114*g/11 - 20.
-2*(g - 55)*(g - 1)*(g + 2)/11
Suppose -4*g**4 + 1160*g**3 - 82932*g**2 - 169360*g - 85264 = 0. Calculate g.
-1, 146
Factor -k**2 + 45*k.
-k*(k - 45)
Determine h, given that 6*h**3/5 - 138*h**2/5 + 144*h + 864/5 = 0.
-1, 12
Suppose -3*o**5/2 - 27*o**4/4 - 9*o**3 - 15*o**2/4 = 0. What is o?
-5/2, -1, 0
Find l, given that 8*l**2/15 - 18*l/5 + 88/15 = 0.
11/4, 4
Find k such that 5*k**2 - 260*k - 265 = 0.
-1, 53
Let -4*s**2 + 4 = 0. What is s?
-1, 1
Factor v**3/5 + 42*v**2/5 - 9*v - 86/5.
(v - 2)*(v + 1)*(v + 43)/5
Solve 84*o**2/5 - 429*o/5 + 9 = 0 for o.
3/28, 5
Factor o**2 - 361*o.
o*(o - 361)
Factor 20*m**4 + 25*m**3 + 5*m**2.
5*m**2*(m + 1)*(4*m + 1)
Factor 5*w**4 - 35*w**3 - 15*w**2 + 115*w - 70.
5*(w - 7)*(w - 1)**2*(w + 2)
Determine i, given that 25*i**4 - 110*i**3 - 235*i**2 - 40*i + 60 = 0.
-1, 2/5, 6
Solve -15*a**4/7 + 99*a**3/7 - 174*a**2/7 + 72*a/7 = 0.
0, 3/5, 2, 4
Determine z, given that 2*z**2/7 + 62*z/7 + 456/7 = 0.
-19, -12
Factor -2*d**2 - 2*d.
-2*d*(d + 1)
Factor 4*h**4 + 2640*h**3 + 430272*h**2 - 1763584*h.
4*h*(h - 4)*(h + 332)**2
Factor -p**2/4 + 77*p/4 - 75/2.
-(p - 75)*(p - 2)/4
What is v in -3*v**2/5 - 9*v/5 - 6/5 = 0?
-2, -1
Factor -5*g**5/3 + 8*g**4/3 - g**3/3 - 2*g**2/3.
-g**2*(g - 1)**2*(5*g + 2)/3
Solve -21*s**3 + 321*s**2 - 384*s + 84 = 0 for s.
2/7, 1, 14
Factor -x**2/9 + 129*x + 2326/9.
-(x - 1163)*(x + 2)/9
Find q, given that 2*q**3 + 71*q**2 + 612*q - 324 = 0.
-18, 1/2
Factor 3*y**5 - 9*y**4 + 9*y**3 - 3*y**2.
3*y**2*(y - 1)**3
Factor 4*h**2 + 5400*h.
4*h*(h + 1350)
Find s, given that 15*s**5 + 55*s**4 + 25*s**3 - 15*s**2 = 0.
-3, -1, 0, 1/3
Factor 2*b**3/11 - 24*b**2/11 + 82*b/11 - 60/11.
2*(b - 6)*(b - 5)*(b - 1)/11
What is i in -i**5/3 - 446*i**4/3 - 49729*i**3/3 = 0?
-223, 0
Factor -m**3 - 17*m**2 - 88*m - 144.
-(m + 4)**2*(m + 9)
Suppose v**3/7 + v**2 + 6*v/7 = 0. Calculate v.
-6, -1, 0
Suppose -c**3/2 + 383*c**2/2 - 5215*c/2 + 18081/2 = 0. What is c?
7, 369
Factor -2*r**4/17 - 16*r**3/17 - 36*r**2/17 - 32*r/17 - 10/17.
-2*(r + 1)**3*(r + 5)/17
Let -y**2/5 - 8*y/5 - 7/5 = 0. Calculate y.
-7, -1
Find y such that y**3 + 1177*y**2 - 7089*y + 10647 = 0.
-1183, 3
Suppose 3*d**4 - 249*d**3 + 483*d**2 + 249*d - 486 = 0. Calculate d.
-1, 1, 2, 81
Suppose -4*i**4 + 36*i**3 - 32*i**2 = 0. Calculate i.
0, 1, 8
Factor 5*i**3 - 151*i**2/2 + 375*i/2 - 18.
(i - 12)*(i - 3)*(10*i - 1)/2
Factor 3*h**4/8 - 15*h**3/4 + 39*h**2/8 + 45*h/2 + 27/2.
3*(h - 6)**2*(h + 1)**2/8
Factor -4*d**2/7 + 5952*d - 15499008.
-4*(d - 5208)**2/7
Find u such that 33*u**3 - 534*u**2 + 2391*u - 1890 = 0.
1, 7, 90/11
Determine c so that -3*c**4 + 21*c**3 - 51*c**2 + 51*c - 18 = 0.
1, 2, 3
Let 5*w**3 + 340*w**2 = 0. What is w?
-68, 0
Find h such that -2*h**5 - 12*h**4 - 16*h**3 + 12*h**2 + 18*h = 0.
-3, -1, 0, 1
Solve -162*x**4 - 3636*x**3 - 21194*x**2 - 8888*x - 968 = 0 for x.
-11, -2/9
Let 3*z**3/2 - 39*z**2/2 - 30*z + 126 = 0. What is z?
-3, 2, 14
Find f, given that 2*f**5/21 + 12*f**4/7 - 122*f**3/21 + 4*f**2 = 0.
-21, 0, 1, 2
Solve -n**2/3 + 23*n + 70/3 = 0.
-1, 70
Suppose 5*c**5 - 115*c**4 + 365*c**3 + 355*c**2 - 1370*c + 760 = 0. Calculate c.
-2, 1, 4, 19
Factor 5*p**4/4 - 11*p**3/4 - 13*p**2/2 + 8*p.
p*(p - 1)*(p + 2)*(5*p - 16)/4
Factor -3*v**4/7 - 15*v**3/7 + 12*v**2/7 + 60*v/7.
-3*v*(v - 2)*(v + 2)*(v + 5)/7
Factor -u**2 + 219*u - 1278.
-(u - 213)*(u - 6)
Factor 2*m**2/9 + 286*m/9.
2*m*(m + 143)/9
Find f, given that -f**2/4 + 37*f/2 + 38 = 0.
-2, 76
Let -2*v**2/5 + 4*v + 22/5 = 0. What is v?
-1, 11
Solve -n**4/9 + 19*n**3 - 673*n**2/9 + 93*n - 334/9 = 0.
1, 2, 167
Determine z so that -5*z**3 + 2525*z**2 - 322535*z + 945015 = 0.
3, 251
What is v in -2*v**4/5 + 42*v**3/5 + 46*v**2/5 - 42*v/5 - 44/5 = 0?
-1, 1, 22
Suppose -5*t**3 - 845*t**2 - 36120*t - 35280 = 0. What is t?
-84, -1
Solve 5*l**5 + 145*l**4 - 480*l**3 + 20*l**2 + 640*l = 0 for l.
-32, -1, 0, 2
Factor -i**2/6 + 47*i/6 - 15.
-(i - 45)*(i - 2)/6
Factor 3*n**3/5 - 144*n**2/5 - 324*n/5 + 240.
3*(n - 50)*(n - 2)*(n + 4)/5
Find w such that 5*w**2 - 1835*w - 7420 = 0.
-4, 371
Factor 3*t**4/5 + 12*t**3 + 57*t**2/5.
3*t**2*(t + 1)*(t + 19)/5
Factor -2*b**5 + 108*b**4 - 768*b**3 - 20480*b**2.
-2*b**2*(b - 32)**2*(b + 10)
Factor v**3/2 + 32*v**2 - 131*v/2 + 33.
(v - 1)**2*(v + 66)/2
Suppose -a**5/2 + 21*a**4 - 481*a**3/2 + 420*a**2 - 200*a = 0. What is a?
0, 1, 20
Factor -13*q**3/4 + 27*q**2/2 + 37*q - 6.
-(q - 6)*(q + 2)*(13*q - 2)/4
Find x, given that -2*x**4/11 + 500*x**3/11 - 33186*x**2/11 + 22000*x - 42592 = 0.
4, 121
Find y such that -5*y**3 + 310*y**2 - 4480*y - 10240 = 0.
-2, 32
Factor -3*q**2 - 450*q + 912.
-3*(q - 2)*(q + 152)
Factor -60*g**3 + 185*g**2 - 145*g + 30.
-5*(g - 2)*(3*g - 1)*(4*g - 3)
Suppose -3*c**4 - 3*c**3 + 6*c**2 = 0. What is c?
-2, 0, 1
Let 3*c**2 - 5016*c + 2096688 = 0. What is c?
836
Find w, given that -2*w**2/15 + 666*w/5 = 0.
0, 999
Suppose -i**4/2 - i**3/2 + 9*i**2 + 26*i + 20 = 0. What is i?
-2, 5
Suppose -g**2/2 + 1053*g/2 = 0. What is g?
0, 1053
Factor -4*t**5 + 272*t**4 - 532*t**3 + 264*t**2.
-4*t**2*(t - 66)*(t - 1)**2
Factor 3*k**4 - 96*k**3 + 720*k**2.
3*k**2*(k - 20)*(k - 12)
Find j, given that -2*j**5/19 - 42*j**4/19 - 194*j**3/19 - 198*j**2/19 + 196*j/19 + 240/19 = 0.
-15, -4, -2, -1, 1
Factor 2*i**4 - 4*i**3 + 2*i**2.
2*i**2*(i - 1)**2
Suppose 10*f**4/3 - 94*f**3/3 - 28*f**2 + 248*f/3 - 80/3 = 0. What is f?
-2, 2/5, 1, 10
Find c such that c**2/4 + 57*c/4 - 207 = 0.
-69, 12
Determine k so that -3*k**3 - 36*k*