 = 0.
-3, 1/2, 1
Find y, given that -621*y**3/4 - 144*y**2 - 177*y/4 - 9/2 = 0.
-1/3, -6/23
Factor 2*f**4 - 54*f**3 - 56*f**2.
2*f**2*(f - 28)*(f + 1)
Determine a so that -a**5/4 + 3*a**4/4 + 3*a**3/2 - 13*a**2/2 + 27*a/4 - 9/4 = 0.
-3, 1, 3
Factor -4*r**2/3 + 440*r - 36300.
-4*(r - 165)**2/3
Let -v**4/6 - 3*v**3/2 - v**2 + 8*v/3 = 0. Calculate v.
-8, -2, 0, 1
Factor 2*p**3/5 - 40*p**2 + 4424*p/5 - 28224/5.
2*(p - 72)*(p - 14)**2/5
Factor -3*y**4 + 30*y**3 - 72*y**2.
-3*y**2*(y - 6)*(y - 4)
Factor -14*x**3 + 40*x**2 + 62*x + 8.
-2*(x - 4)*(x + 1)*(7*x + 1)
Solve 5*t**4 + 10*t**3 - 20*t**2 - 10*t + 15 = 0 for t.
-3, -1, 1
Factor 2*b**5/13 - 2*b**4/13 - 2*b**3/13 + 2*b**2/13.
2*b**2*(b - 1)**2*(b + 1)/13
What is n in n**3/4 - 17*n**2/2 + 80*n - 128 = 0?
2, 16
Let 3*o**5 - 69*o**3 + 198*o**2 - 204*o + 72 = 0. Calculate o.
-6, 1, 2
What is r in -2*r**3 + 142*r**2 - 140*r = 0?
0, 1, 70
Factor w**2/5 + 7*w/5.
w*(w + 7)/5
Let 11*y**2/4 + 255*y/4 + 23/2 = 0. Calculate y.
-23, -2/11
Factor m**2/8 - 252*m + 127008.
(m - 1008)**2/8
Suppose 2*h**5/9 + 34*h**4/9 + 182*h**3/9 + 98*h**2/3 = 0. Calculate h.
-7, -3, 0
Determine l, given that -35*l**5 + 80*l**4 + 260*l**3 - 710*l**2 + 495*l - 90 = 0.
-3, 2/7, 1, 3
Factor -3*n**3/4 + 5*n**2/2 - n/4 - 3/2.
-(n - 3)*(n - 1)*(3*n + 2)/4
Factor -u**2/5 - 10504*u/5 - 27583504/5.
-(u + 5252)**2/5
Factor 3*b**3/5 + 4*b**2/5 + b/5.
b*(b + 1)*(3*b + 1)/5
What is r in -r**5/2 + 17*r**4/2 - 63*r**3/2 - 81*r**2/2 = 0?
-1, 0, 9
What is s in -2*s**2 + 654*s + 4676 = 0?
-7, 334
Factor -2*g**2/5 + 30*g.
-2*g*(g - 75)/5
What is z in 2*z**2 + 110*z/3 + 12 = 0?
-18, -1/3
Suppose -3*d**2/4 + 3*d/4 + 9 = 0. What is d?
-3, 4
Solve -2*n**3 + 92*n**2 - 480*n = 0 for n.
0, 6, 40
Suppose 2*z**2/9 + 1444*z/9 + 260642/9 = 0. Calculate z.
-361
Let 2*v**2 - 412*v + 21218 = 0. Calculate v.
103
Factor j**3 + 121*j**2 + 239*j + 119.
(j + 1)**2*(j + 119)
Factor -c**3/3 + 205*c**2/3 - 68*c.
-c*(c - 204)*(c - 1)/3
Let i**5/2 + 49*i**4/4 + 177*i**3/2 + 649*i**2/4 + 121*i/2 = 0. Calculate i.
-11, -2, -1/2, 0
Let -10*l**2 - 296*l + 120 = 0. Calculate l.
-30, 2/5
Suppose -2*j**3/19 + 24*j/19 - 32/19 = 0. What is j?
-4, 2
Factor -y**3/10 + 11*y**2/10 - 9*y/5.
-y*(y - 9)*(y - 2)/10
Factor p**4/10 + 6*p**3/5 + 11*p**2/10.
p**2*(p + 1)*(p + 11)/10
Let 2*j**2 + 776*j + 75272 = 0. Calculate j.
-194
What is q in -5*q**3/6 + 755*q**2/6 - 31595*q/6 + 75615/2 = 0?
9, 71
Factor -4*x**4 - 40*x**3 - 132*x**2 - 144*x.
-4*x*(x + 3)**2*(x + 4)
Factor 35*x**3/3 - 4610*x**2/3 + 50380*x + 14520.
5*(x - 66)**2*(7*x + 2)/3
Solve -d**4/3 - 64*d**3 - 4608*d**2 - 147456*d - 1769472 = 0 for d.
-48
Find k such that -2*k**5/3 - 18*k**4 + 316*k**3/3 - 56*k**2 - 1232*k/3 + 512 = 0.
-32, -2, 2, 3
Factor 625*c**2/4 - 25*c + 1.
(25*c - 2)**2/4
Factor -7*h**3 - 72*h**2 - 83*h - 18.
-(h + 1)*(h + 9)*(7*h + 2)
Factor -j**2/4 + 69*j/4 + 71/2.
-(j - 71)*(j + 2)/4
Solve 5*w**2 + 375*w = 0.
-75, 0
Suppose -2*a**4/7 - 748*a**3/7 - 93000*a**2/7 - 3812500*a/7 + 3906250/7 = 0. What is a?
-125, 1
Factor -2*t**4 - 8*t**3 + 38*t**2 + 92*t + 48.
-2*(t - 4)*(t + 1)**2*(t + 6)
Factor -o**3/10 + 73*o**2/10 - 21*o.
-o*(o - 70)*(o - 3)/10
Factor -5*r**2/4 + 420*r + 1685/4.
-5*(r - 337)*(r + 1)/4
Suppose 4*p**2 + 112*p + 300 = 0. Calculate p.
-25, -3
Factor -47458321*b**5 - 280175630*b**4 + 27280440*b**3 - 989360*b**2 + 15920*b - 96.
-(b + 6)*(83*b - 2)**4
Find m such that -25*m**3 + 390*m**2 - 945*m - 4860 = 0.
-12/5, 9
Suppose -w**3/7 - 428*w**2/7 - 6603*w - 90738/7 = 0. Calculate w.
-213, -2
Find v such that 12*v**4/13 + 310*v**3/13 - 42*v**2 + 114*v/13 + 110/13 = 0.
-55/2, -1/3, 1
Factor -3*k**3/5 + 1461*k**2/5 - 177144*k/5 - 178608/5.
-3*(k - 244)**2*(k + 1)/5
Factor 3*r**4/2 + 192*r**3 + 11895*r**2/2 - 12675*r.
3*r*(r - 2)*(r + 65)**2/2
Find s such that -s**2 - 9282*s - 21538881 = 0.
-4641
Suppose 2*z**5 + 8*z**4 + 8*z**3 - 4*z**2 - 10*z - 4 = 0. What is z?
-2, -1, 1
Solve 2*a**5/7 - 1040*a**4/7 + 179570*a**3/7 - 10173780*a**2/7 - 20890440*a/7 - 10536048/7 = 0 for a.
-1, 174
Determine n so that 4*n**3/7 + 32*n**2 + 1584*n/7 + 2304/7 = 0.
-48, -6, -2
Factor f**5/2 + 4*f**4 + 7*f**3/2.
f**3*(f + 1)*(f + 7)/2
Find p such that 2*p**2/7 - 1364*p/7 + 232562/7 = 0.
341
Solve -5*l**2 - 40*l = 0 for l.
-8, 0
Factor -22*y**3/5 - 219*y**2/5 + 2*y.
-y*(y + 10)*(22*y - 1)/5
Solve -5*t**2/3 + 155*t/3 + 600 = 0.
-9, 40
Determine p, given that 5*p**2 + 1025*p = 0.
-205, 0
Find h, given that -3*h**3 + 9*h**2 + 48*h + 36 = 0.
-2, -1, 6
Factor 34*m**2/11 - 10*m/11 - 24/11.
2*(m - 1)*(17*m + 12)/11
Suppose -3*b**2 - 78*b - 264 = 0. What is b?
-22, -4
Suppose -128*z**5/15 + 340832*z**4/15 - 227015384*z**3/15 + 170133746*z**2/15 - 42522788*z/15 + 3543122/15 = 0. Calculate z.
1/4, 1331
Factor 3*p**2 + 30*p - 792.
3*(p - 12)*(p + 22)
Factor -4*i**5 - 32*i**4 - 96*i**3 - 136*i**2 - 92*i - 24.
-4*(i + 1)**3*(i + 2)*(i + 3)
Factor c**3/2 - 69*c**2/2 + 34*c.
c*(c - 68)*(c - 1)/2
Find a such that -4*a**2 - 320*a - 316 = 0.
-79, -1
Solve -4*o**2 + 140*o - 384 = 0 for o.
3, 32
Solve -2*t**5/13 - 12*t**4/13 - 16*t**3/13 + 32*t**2/13 + 96*t/13 + 64/13 = 0.
-2, 2
Factor v**2 - 2*v - 24.
(v - 6)*(v + 4)
Factor 5*j**4 - 30*j**2 - 40*j - 15.
5*(j - 3)*(j + 1)**3
Factor -4*w**3 - 13068*w**2 - 14231052*w - 5165871876.
-4*(w + 1089)**3
Solve 4*l**3/5 - 33564*l**2/5 + 93878508*l/5 - 87526062292/5 = 0.
2797
Solve 2*j**4/7 + 60*j**3/7 + 114*j**2/7 + 8*j = 0.
-28, -1, 0
Let h**2/9 - 148*h/9 + 544/3 = 0. Calculate h.
12, 136
Solve b**3 - 163*b**2/7 + 200*b/7 - 44/7 = 0 for b.
2/7, 1, 22
Let 4*a**5/5 + 16*a**4/5 + 8*a**3/5 - 16*a**2/5 - 12*a/5 = 0. What is a?
-3, -1, 0, 1
Factor 2*i**4/15 + 138*i**3/5 - 836*i**2/15.
2*i**2*(i - 2)*(i + 209)/15
Determine z, given that -z**2/3 + 19*z/3 + 20/3 = 0.
-1, 20
Factor n**5 - 4*n**4 + n**3 + 10*n**2 - 4*n - 8.
(n - 2)**3*(n + 1)**2
Solve -2*y**2/5 - 112*y/5 - 22 = 0.
-55, -1
Factor -1728*r**3/7 + 1242*r**2/7 - 36*r + 10/7.
-2*(3*r - 1)**2*(96*r - 5)/7
Factor 3*t**4/2 - 41*t**3/2 - 59*t**2/2 - 15*t/2.
t*(t - 15)*(t + 1)*(3*t + 1)/2
Find l, given that -32*l**3/5 + 180*l**2 - 6384*l/5 + 784/5 = 0.
1/8, 14
Find o such that -3*o**4/2 + 45*o**3 + 198*o**2 + 204*o = 0.
-2, 0, 34
Determine q, given that q**5/3 - 10*q**4/3 + 31*q**3/3 - 22*q**2/3 - 32*q/3 + 32/3 = 0.
-1, 1, 2, 4
Determine d so that 3*d**5/5 - 123*d**4/5 + 1194*d**3/5 + 1446*d**2/5 - 1197*d/5 - 1323/5 = 0.
-1, 1, 21
Let -2*c**3 + 2*c**2 + 8*c - 8 = 0. Calculate c.
-2, 1, 2
Factor -2*l**3/9 - 4*l**2 + 14*l.
-2*l*(l - 3)*(l + 21)/9
Solve m**2/3 + 355*m/3 - 356/3 = 0 for m.
-356, 1
Let 2*m**4/7 - 22*m**3/7 - 50*m**2/7 - 26*m/7 = 0. Calculate m.
-1, 0, 13
Factor 2*v**3/5 - 26*v**2/5 + 104*v/5 - 24.
2*(v - 6)*(v - 5)*(v - 2)/5
Determine r so that 22*r**4/3 - 370*r**3/3 - 904*r**2/3 - 152*r/3 = 0.
-2, -2/11, 0, 19
Factor -v**2 - 64*v + 201.
-(v - 3)*(v + 67)
Factor u**5 - 4*u**4 - 3*u**3 + 14*u**2 - 8*u.
u*(u - 4)*(u - 1)**2*(u + 2)
Suppose 4*v**2 - 35*v - 156 = 0. What is v?
-13/4, 12
Suppose -7*n**3/2 + 22*n**2 - 47*n/2 + 5 = 0. What is n?
2/7, 1, 5
Factor -u**4 + 83*u**3 - 2163*u**2 + 18081*u.
-u*(u - 41)*(u - 21)**2
Suppose 27*a**5/2 - 9*a**4 - 36*a**3 + 56*a**2 - 88*a/3 + 16/3 = 0. What is a?
-2, 2/3
Solve -4*k**3 + 20*k**2 - 8*k - 32 = 0.
-1, 2, 4
Factor 8*h**3 + 466*h**2 + 572*h + 114.
2*(h + 1)*(h + 57)*(4*h + 1)
Suppose -2*v**3/21 + 22*v**2/7 - 32*v + 280/3 = 0. What is v?
5, 14
Solve s**3/3 + 343*s**2/3 + 1022*s/3 + 680/3 = 0.
-340, -2, -1
Factor 125*j**4 + 2200*j**3 + 9230*j**2 - 3960*j + 405.
5*(j + 9)**2*(5*j - 1)**2
Solve 2*r**4 + 240*r**3 + 2234*r**2 + 3756*r + 1760 = 0 for r.
-110, -8, -1
Find h, given that 2*h**4/3 + 188*h**3/3 + 1920*h**2 + 53248*h/3 - 131072/3 = 0.
-32, 2
Factor -u**3/2 - 245*u**2/2 - 7564*u - 7442.
-(u + 1)*(u + 122)**2/2
Solve 3*u**4/4 - 690*u**3 + 316017*u**2/2 + 318090*u + 637563/4 = 0.
-1, 461
Find r such that 2*r**5/5 + 2*r**4 - 2*r**3/5 - 82*r**2/5 - 144*r/5 - 72/5 = 0.
-3, -2, -1, 3
Determine q, given that 3*q**3/7 - 12*q**2 + 159*q/7 - 78/7 = 0.
1, 26
Factor o**2/3 - 5728*o/3 + 8202496/3.
(o - 2864)**2/3
Factor -4*l**4 - 12*l**3 + 56*l**2 + 48*l - 160.
-4*(l - 2)**2*(l + 2)*(l + 5)
Factor -3*s**3 - 12*s**2 + 57*s - 42.
-3*(s - 2)*(s - 1)*(s + 7)
Factor -w**3/3 + 2*w**2/3 + 19*w/3 - 20/3.
-(w - 5)*(w - 