for d.
-209, -1, 2
Factor -2*n**4 + 120*n**3 - 1404*n**2 - 11880*n - 19602.
-2*(n - 33)**2*(n + 3)**2
Factor -98*x**3 - 1526*x**2 - 848*x - 120.
-2*(x + 15)*(7*x + 2)**2
Factor g**3/3 + 131*g**2/3 - 676*g/3 + 544/3.
(g - 4)*(g - 1)*(g + 136)/3
Factor m**3/2 - 275*m**2/2 + 547*m/2 - 273/2.
(m - 273)*(m - 1)**2/2
What is i in 4*i**3/5 - 984*i**2/5 + 60516*i/5 = 0?
0, 123
Suppose -4*i**3 + 132*i**2 - 1020*i - 1156 = 0. What is i?
-1, 17
Factor -5*k**2 + 170*k - 1445.
-5*(k - 17)**2
Solve -j**5 - 87*j**4 - 83*j**3 + 263*j**2 + 432*j + 172 = 0 for j.
-86, -1, 2
Factor -2*a**2/3 - 42*a.
-2*a*(a + 63)/3
Suppose -5*i**3 - 85*i**2 - 150*i = 0. What is i?
-15, -2, 0
Solve 5*r**2 - 3070*r + 471245 = 0.
307
Let 2*v**4/7 + 10*v**3/7 - 2*v**2 - 10*v/7 + 12/7 = 0. What is v?
-6, -1, 1
Determine r, given that -r**2 - 100*r + 101 = 0.
-101, 1
Factor -4*y**2 + 108*y + 232.
-4*(y - 29)*(y + 2)
Let 69*b**3/4 + 285*b**2/4 + 9*b = 0. Calculate b.
-4, -3/23, 0
Let b**5/2 - 3*b**4/2 + b**3 = 0. What is b?
0, 1, 2
Find u, given that -32*u**3/3 - 432*u**2 - 214*u - 80/3 = 0.
-40, -1/4
Factor 5*i**5/3 - 5*i**4/3 - 10*i**3/3 + 10*i**2/3 + 5*i/3 - 5/3.
5*(i - 1)**3*(i + 1)**2/3
Solve 5*j**5 - 110*j**4 + 510*j**3 + 2240*j**2 - 14795*j + 18150 = 0.
-5, 2, 3, 11
Factor r**4/3 + 16*r**3/3 + 79*r**2/3 + 52*r + 36.
(r + 2)**2*(r + 3)*(r + 9)/3
Find v such that -6*v**2/11 - 2*v + 8/11 = 0.
-4, 1/3
Factor -2*g**3/7 - 16*g**2 + 118*g/7 + 228/7.
-2*(g - 2)*(g + 1)*(g + 57)/7
Solve a**5/3 + 7*a**4/3 + 4*a**3/3 - 44*a**2/3 - 32*a/3 + 64/3 = 0 for a.
-4, -2, 1, 2
Factor 2*w**2/9 + 4*w + 112/9.
2*(w + 4)*(w + 14)/9
Factor -1101*p**2/2 - 1103*p/2 - 1.
-(p + 1)*(1101*p + 2)/2
Factor -12*r**3 - 831*r**2 + 3297*r + 876.
-3*(r - 4)*(r + 73)*(4*r + 1)
Suppose 3*d**3/2 + 63*d**2 = 0. What is d?
-42, 0
Factor 3*q**5 - 108*q**4 - 264*q**3 + 1410*q**2 - 1611*q + 570.
3*(q - 38)*(q - 1)**3*(q + 5)
Let -3*l**5/4 - 3*l**4/4 + 171*l**3/4 + 3*l**2/4 - 42*l = 0. What is l?
-8, -1, 0, 1, 7
Factor -2*s**5/9 - 16*s**4/9 - 26*s**3/9 - 4*s**2/3.
-2*s**2*(s + 1)**2*(s + 6)/9
Factor 3*k**4 - 1461*k**3 - 5880*k**2 - 5892*k.
3*k*(k - 491)*(k + 2)**2
Suppose -5*o**3 + 5*o**2 + 25*o + 15 = 0. Calculate o.
-1, 3
Factor -4*r**2 + 40*r + 224.
-4*(r - 14)*(r + 4)
Factor 2*b**4 - 26*b**3 + 44*b**2.
2*b**2*(b - 11)*(b - 2)
Solve -f**2/7 - 10*f/7 - 16/7 = 0 for f.
-8, -2
Determine a so that -30*a**2 - 188*a - 48 = 0.
-6, -4/15
Solve -2*g**3/11 - 8*g**2/11 - 8*g/11 = 0 for g.
-2, 0
Solve z**5/9 - 8*z**4/9 + 23*z**3/9 - 28*z**2/9 + 4*z/3 = 0 for z.
0, 1, 2, 3
Determine m so that -3*m**5/7 - 3*m**4/7 + 15*m**3/7 - 9*m**2/7 = 0.
-3, 0, 1
Factor -q**4/3 + 7*q**3/3.
-q**3*(q - 7)/3
Determine m, given that -5*m**2/4 + 7*m/4 - 1/2 = 0.
2/5, 1
Find h such that -405*h**3/2 - 225*h**2/2 + 80*h - 10 = 0.
-1, 2/9
Determine x so that 4*x**4/5 + 384*x**3/5 - 408*x**2/5 - 1952*x/5 - 1164/5 = 0.
-97, -1, 3
Factor -5*q**4 - 60*q**3 - 240*q**2 - 320*q.
-5*q*(q + 4)**3
Factor 2*h**5 - 12*h**4 - 32*h**3 - 4*h**2 + 30*h + 16.
2*(h - 8)*(h - 1)*(h + 1)**3
Solve -3*b**4 + 1584*b**3 + 6369*b**2 + 7974*b + 3192 = 0 for b.
-2, -1, 532
Factor i**3 - 37*i**2 + 360*i - 324.
(i - 18)**2*(i - 1)
Factor 6*o**2 + 41*o/2 + 15/2.
(o + 3)*(12*o + 5)/2
Factor -2*r**5/3 - 10*r**4/3.
-2*r**4*(r + 5)/3
Let 5*o**5 - 20*o**3 + 10*o**2 + 15*o - 10 = 0. What is o?
-2, -1, 1
Factor w**4/2 + 2*w**3 + 3*w**2/2.
w**2*(w + 1)*(w + 3)/2
Find f such that -5*f**4 - 33760*f**3 - 85480320*f**2 - 96193853440*f - 40593806151680 = 0.
-1688
Find v such that 2*v**5/5 - 86*v**4/5 + 94*v**3 - 986*v**2/5 + 896*v/5 - 296/5 = 0.
1, 2, 37
Factor -s**2/8 + 115*s/4 - 13225/8.
-(s - 115)**2/8
Let -2*w**5/11 + 6*w**4 + 138*w**3/11 + 70*w**2/11 = 0. Calculate w.
-1, 0, 35
Solve 2*r**2 + 4164*r + 2167362 = 0 for r.
-1041
Determine g so that 2*g**5/17 - 6*g**4/17 - 74*g**3/17 - 66*g**2/17 + 144*g/17 = 0.
-3, 0, 1, 8
Factor 3*r**3 - 663*r**2 + 36297*r + 36963.
3*(r - 111)**2*(r + 1)
Factor 3*d**3/5 - 153*d**2 + 48384*d/5 + 49152/5.
3*(d - 128)**2*(d + 1)/5
Find d such that -d**4 + 8*d**3 - 2*d**2 - 80*d + 75 = 0.
-3, 1, 5
Factor v**2/8 + 7*v/8 + 3/4.
(v + 1)*(v + 6)/8
Factor 2*f**5 + 8*f**4 + 6*f**3.
2*f**3*(f + 1)*(f + 3)
Find h such that -12*h**3 + 51*h**2 - 66*h + 27 = 0.
1, 9/4
Solve 11*t**5/5 + 2033*t**4/5 + 124436*t**3/5 + 2472064*t**2/5 - 615040*t + 476656/5 = 0.
-62, 2/11, 1
Determine t so that 6*t**2/11 - 102*t/11 + 96/11 = 0.
1, 16
Factor 3*w**2 + 336*w.
3*w*(w + 112)
What is z in 2*z**2/17 + 168*z/17 + 3528/17 = 0?
-42
Find j, given that j**5/5 + j**4 + 3*j**3/5 - j**2 - 4*j/5 = 0.
-4, -1, 0, 1
Let t**4 - 2*t**3 + t**2 = 0. What is t?
0, 1
Factor -d**2/4 + 21*d/2 - 441/4.
-(d - 21)**2/4
Solve 2*i**4/9 - 76*i**3/9 + 114*i**2 - 5720*i/9 + 10816/9 = 0 for i.
4, 8, 13
Solve 2*w**4 + 10*w**3 + 4*w**2 - 16*w = 0 for w.
-4, -2, 0, 1
Solve -5*m**5 - 10*m**4 + 5*m**3 + 10*m**2 = 0.
-2, -1, 0, 1
Factor d**2 - 161*d + 318.
(d - 159)*(d - 2)
Factor f**2 - 5*f.
f*(f - 5)
Solve 4*u**2 - 48*u - 1012 = 0.
-11, 23
Determine d, given that 3*d**2/4 - 33*d/4 + 18 = 0.
3, 8
Suppose 12*y**5 + 9*y**4 - 15*y**3 - 9*y**2 + 3*y = 0. Calculate y.
-1, 0, 1/4, 1
Find v, given that 3*v**5/4 - 6*v**4 - 39*v**3/4 + 114*v**2 + 9*v - 108 = 0.
-4, -1, 1, 6
Factor t**2/3 - 4*t/3.
t*(t - 4)/3
Factor 2*m**5 - 22*m**4 + 78*m**3 - 98*m**2 + 40*m.
2*m*(m - 5)*(m - 4)*(m - 1)**2
Factor 4*l**5 + 4*l**4.
4*l**4*(l + 1)
Factor -8*y**4/3 - 50*y**3 - 324*y**2 - 792*y - 432.
-2*(y + 6)**3*(4*y + 3)/3
Solve x**4/3 + 5*x**3 - x**2 - 47*x/3 - 10 = 0.
-15, -1, 2
Factor -t**2 - 383*t.
-t*(t + 383)
Factor 2*r**2/7 - 626*r/7 - 2536/7.
2*(r - 317)*(r + 4)/7
Factor -6*p**3/5 + 4332*p**2/5 + 8682*p/5 + 4344/5.
-6*(p - 724)*(p + 1)**2/5
Factor -c**5 - 73*c**4 - 1431*c**3 - 3395*c**2 + 4900*c.
-c*(c - 1)*(c + 4)*(c + 35)**2
Solve d**4 - 14*d**3 + 33*d**2 = 0.
0, 3, 11
Solve -2*v**3/11 - 50*v**2/11 + 114*v/11 + 162/11 = 0 for v.
-27, -1, 3
Determine s so that 2*s**2 + 44*s + 114 = 0.
-19, -3
Factor 2*p**3 + 6*p**2 - 36*p - 80.
2*(p - 4)*(p + 2)*(p + 5)
Determine w, given that -9*w**5/4 - 25*w**4/4 - 3*w**3 + w**2 = 0.
-2, -1, 0, 2/9
Solve -20*j**4 + 72*j**3 + 92*j**2 - 336*j - 144 = 0 for j.
-2, -2/5, 3
Factor 2*i**4/9 + 2*i**3/3 - 2*i**2/3 - 14*i/9 + 4/3.
2*(i - 1)**2*(i + 2)*(i + 3)/9
Factor 4*x**4 - 176*x**3 + 336*x**2.
4*x**2*(x - 42)*(x - 2)
Find v, given that 12*v**3 - 236*v**2/5 - 16*v/5 = 0.
-1/15, 0, 4
Factor 5*p**5 + 25*p**4 - 385*p**3 - 2205*p**2.
5*p**2*(p - 9)*(p + 7)**2
Determine v so that -3*v**2 - 30*v - 48 = 0.
-8, -2
Suppose 3*v**2/4 + 189*v/2 + 11907/4 = 0. Calculate v.
-63
Factor k**3/11 - 955*k**2/11 - k/11 + 955/11.
(k - 955)*(k - 1)*(k + 1)/11
Factor 5*t**2/6 - 261*t/2 + 78.
(t - 156)*(5*t - 3)/6
Let -3*b**3 - 177*b**2 - 174*b = 0. Calculate b.
-58, -1, 0
Determine p, given that -p**3/2 - 11*p**2/2 - 5*p = 0.
-10, -1, 0
Factor -3*y**4 - 51*y**3 - 159*y**2 + 483*y - 270.
-3*(y - 1)**2*(y + 9)*(y + 10)
Factor -q**2/5 - 8*q/5 + 4.
-(q - 2)*(q + 10)/5
What is a in 6*a**4/13 + 2*a**3 - 56*a**2/13 + 24*a/13 = 0?
-6, 0, 2/3, 1
Find a such that -4*a**3/7 + 4*a**2/7 + 8*a/7 = 0.
-1, 0, 2
Factor -v**2/4 + 151*v/4 + 38.
-(v - 152)*(v + 1)/4
Let -2*b**2 - 34*b - 60 = 0. Calculate b.
-15, -2
Solve 3*v**5 + 9*v**4 - 9*v**3 - 33*v**2 - 18*v = 0.
-3, -1, 0, 2
Find i, given that -24*i**3 - 240*i**2 - 1479*i/2 - 2601/4 = 0.
-17/4, -3/2
Factor -s**2/3 - 29*s/3 - 28/3.
-(s + 1)*(s + 28)/3
Let -x**4/3 + 20*x**3 - 319*x**2 + 1682*x/3 = 0. What is x?
0, 2, 29
Solve 2*t**4/3 - 98*t**3/3 - 34*t**2 + 98*t/3 + 100/3 = 0.
-1, 1, 50
Factor -4*j**3 - 36*j**2 - 80*j.
-4*j*(j + 4)*(j + 5)
Factor 5*p**5 + 55*p**4 + 195*p**3 + 225*p**2.
5*p**2*(p + 3)**2*(p + 5)
Factor -4*s**2 - 232*s + 236.
-4*(s - 1)*(s + 59)
Factor 2*t**2/11 + 148*t/11 + 2496/11.
2*(t + 26)*(t + 48)/11
Determine j, given that -3*j**5 - 33*j**4 - 105*j**3 - 75*j**2 = 0.
-5, -1, 0
Determine k, given that 4*k**4 + 776*k**3/9 + 5156*k**2/9 + 1024*k - 576 = 0.
-9, -4, 4/9
Factor -2*b**2/9 - 244*b/9 + 82/3.
-2*(b - 1)*(b + 123)/9
Factor u**3/4 + 1761*u**2/4.
u**2*(u + 1761)/4
Factor 2883*w**2 - 6138*w + 3267.
3*(31*w - 33)**2
Suppose -85*i**3 - 245*i**2 + 370*i - 40 = 0. What is i?
-4, 2/17, 1
Factor 4*g**5 - 64*g**4 + 312*g**3 - 448*g**2 + 196*g.
4*g*(g - 7)**2*(g - 1)**2
Suppose k