?
-2, -1, -2/5, 1, 2
Factor 2*g**4/3 + 22*g**3/3 - 26*g**2 + 82*g/3 - 28/3.
2*(g - 1)**3*(g + 14)/3
Let 3*r**5 - 54*r**4 - 12*r**3 + 216*r**2 = 0. What is r?
-2, 0, 2, 18
Solve -12*o**5 - 8*o**4 + 60*o**3 + 40*o**2 - 48*o - 32 = 0 for o.
-2, -1, -2/3, 1, 2
Factor -l**3/8 + 319*l**2/4 + 639*l/8.
-l*(l - 639)*(l + 1)/8
Factor -y**2/2 + 12*y - 63/2.
-(y - 21)*(y - 3)/2
Suppose -2*c**5/7 + 54*c**4/7 - 274*c**3/7 - 1230*c**2/7 - 900*c/7 = 0. Calculate c.
-2, -1, 0, 15
Factor 2*z**2 + 20*z/3 - 176/3.
2*(z - 4)*(3*z + 22)/3
Find o, given that o**3/10 - 39*o**2/2 + 383*o/10 + 579/10 = 0.
-1, 3, 193
Factor 3*h**2/4 + 45*h/2 - 93/4.
3*(h - 1)*(h + 31)/4
Suppose -2*i**5 - 12*i**4 - 16*i**3 + 4*i**2 + 18*i + 8 = 0. What is i?
-4, -1, 1
Factor 2*m**2 - 10*m + 12.
2*(m - 3)*(m - 2)
Suppose 2*o**4 + 14*o**3 + 26*o**2 - 6*o - 36 = 0. What is o?
-3, -2, 1
Factor 4*k**2 - 47928*k + 143568324.
4*(k - 5991)**2
Determine i so that -2*i**4 - 78*i**3 - 798*i**2 - 722*i = 0.
-19, -1, 0
What is v in v**3/2 - 7*v**2 + 12*v = 0?
0, 2, 12
Suppose 2*b**2 - 24*b/5 + 8/5 = 0. What is b?
2/5, 2
Solve -14*n**5 - 4*n**4 + 56*n**3 + 16*n**2 = 0.
-2, -2/7, 0, 2
Factor -3*i**3/2 - 2607*i**2/2 - 5205*i/2 - 2601/2.
-3*(i + 1)**2*(i + 867)/2
Let 73*t**5/2 + 367*t**4/2 - 939*t**3/2 + 485*t**2/2 + 7*t = 0. What is t?
-7, -2/73, 0, 1
Suppose -2*j**3/13 - 50*j**2/13 - 224*j/13 + 1176/13 = 0. Calculate j.
-14, 3
Let -2*t**3/17 - 576*t**2/17 - 1144*t/17 = 0. Calculate t.
-286, -2, 0
Determine g, given that -2*g**3 + 20*g**2 - 66*g + 72 = 0.
3, 4
Find k such that -35*k**4 - 1005*k**3 - 620*k**2 + 2220*k - 560 = 0.
-28, -2, 2/7, 1
Solve 3*j**2 - 9690*j = 0 for j.
0, 3230
Find p such that p**2 - 5*p = 0.
0, 5
Find v such that -3*v**2 + 59*v - 38 = 0.
2/3, 19
Factor -39*y**3 + 600*y**2 - 2112*y - 1536.
-3*(y - 8)**2*(13*y + 8)
Let -5*d**2/2 + 240*d = 0. Calculate d.
0, 96
Factor -2*i**3/3 - 76*i**2/3 - 294*i - 1080.
-2*(i + 9)**2*(i + 20)/3
Suppose 8*y**4 + 2*y**3 - 216*y**2 - 486*y - 108 = 0. Calculate y.
-3, -1/4, 6
Solve -4*t**2 - 84*t - 216 = 0 for t.
-18, -3
Factor w**4/2 + 135*w**3 + 9112*w**2 - 135*w - 18225/2.
(w - 1)*(w + 1)*(w + 135)**2/2
Find w such that 4*w**5 + 8*w**4 - 76*w**3 - 32*w**2 + 240*w = 0.
-5, -2, 0, 2, 3
Factor 2*i**2 - 476*i + 28322.
2*(i - 119)**2
Factor 5*z**4/7 + 167*z**3/7 - 284*z**2/7 - 20*z.
z*(z - 2)*(z + 35)*(5*z + 2)/7
Factor -3*m**2 + 6*m + 3465.
-3*(m - 35)*(m + 33)
Let -2*r**2 - 7408*r - 6859808 = 0. Calculate r.
-1852
Factor -2*b**2/5 - 35952*b/5 - 161568288/5.
-2*(b + 8988)**2/5
Factor -2*a**2 + 74*a + 156.
-2*(a - 39)*(a + 2)
Factor 3*r**4/7 + 228*r**3/7.
3*r**3*(r + 76)/7
Factor 2*u**3/11 + 180*u**2/11 - 366*u/11 + 184/11.
2*(u - 1)**2*(u + 92)/11
Let r**2/4 - 23*r - 255 = 0. What is r?
-10, 102
Let -15*u**5 + 85*u**4 - 45*u**3 - 25*u**2 = 0. Calculate u.
-1/3, 0, 1, 5
What is c in -4*c**3/7 - 20*c**2/7 + 88*c/7 - 64/7 = 0?
-8, 1, 2
What is b in -2*b**5/13 - 36*b**4/13 - 90*b**3/13 + 296*b**2/13 - 168*b/13 = 0?
-14, -6, 0, 1
Factor -p**4 + 11*p**3 - 27*p**2 + 25*p - 8.
-(p - 8)*(p - 1)**3
Solve -4*k**2 - 12*k = 0.
-3, 0
Factor x**5/3 + 5*x**4 + 26*x**3/3 - 2*x**2/3 - 9*x - 13/3.
(x - 1)*(x + 1)**3*(x + 13)/3
Factor 2*a**2 + 68*a - 70.
2*(a - 1)*(a + 35)
Find k such that -3*k**5/5 + 3*k**4 + 6*k**3/5 - 72*k**2/5 = 0.
-2, 0, 3, 4
Factor 15*i**2 - 367*i/3 + 68.
(5*i - 3)*(9*i - 68)/3
Let -14*m**4/3 + 2*m**3 + 56*m**2/3 - 8*m = 0. What is m?
-2, 0, 3/7, 2
Let 2*x**4 + 526*x**3 - 3750*x**2 + 8082*x - 4860 = 0. What is x?
-270, 1, 3
Factor -25*u**2 + 30*u - 5.
-5*(u - 1)*(5*u - 1)
Factor 65*l**2 - 90*l.
5*l*(13*l - 18)
Factor w**2/6 - 3*w/2 + 7/3.
(w - 7)*(w - 2)/6
Suppose -3*n**2 - 17820*n - 26462700 = 0. What is n?
-2970
Solve 3*y**2/4 - 234*y + 18252 = 0 for y.
156
Determine u so that 18*u**4/19 + 112*u**3/19 + 78*u**2/19 - 168*u/19 - 40/19 = 0.
-5, -2, -2/9, 1
Find b such that b**2/4 - 15*b/2 + 29/4 = 0.
1, 29
Factor 2*h**2 - 716*h + 714.
2*(h - 357)*(h - 1)
Solve 3*h**4/2 + 45*h**3/2 + 9*h**2 - 354*h + 468 = 0 for h.
-13, -6, 2
Let -2*y**2/5 + 8*y/5 + 2 = 0. What is y?
-1, 5
Let -3*z**2 + 153*z + 318 = 0. What is z?
-2, 53
Factor -2*l**4/7 - 6396*l**3/7 - 6818136*l**2/7 - 2422710992*l/7.
-2*l*(l + 1066)**3/7
Factor 2*b**3 + 36*b**2 + 162*b.
2*b*(b + 9)**2
Factor q**5/6 + q**4 + 11*q**3/6 + q**2.
q**2*(q + 1)*(q + 2)*(q + 3)/6
Factor 4*o**3 + 112*o**2 - 512*o.
4*o*(o - 4)*(o + 32)
Let -14*d**3/3 - 2614*d**2/3 - 1856*d/3 + 248 = 0. What is d?
-186, -1, 2/7
Solve 3*a**3/8 - 39*a**2/8 + 9*a/2 = 0.
0, 1, 12
Let 4*l**2 - 244*l = 0. Calculate l.
0, 61
Factor -4*f**4 - 896*f**3 - 6076*f**2.
-4*f**2*(f + 7)*(f + 217)
Let -x**3/6 + 8*x**2 + 131*x/2 - 220/3 = 0. Calculate x.
-8, 1, 55
Factor -2*o**2 - 12*o - 16.
-2*(o + 2)*(o + 4)
Factor -5*z**2 - 65*z - 210.
-5*(z + 6)*(z + 7)
Factor 5*c**3 + 660*c**2 + 21105*c - 44890.
5*(c - 2)*(c + 67)**2
Find d such that 4*d**2 + 2028*d + 4040 = 0.
-505, -2
Factor b**4/3 - 10*b**3 + 193*b**2/3 + 160*b + 256/3.
(b - 16)**2*(b + 1)**2/3
Solve -4*m**5 - 52*m**4 - 184*m**3 - 176*m**2 + 160*m + 256 = 0 for m.
-8, -2, 1
Factor -4*q**5/3 - 12*q**4 - 28*q**3 - 76*q**2/3 - 8*q.
-4*q*(q + 1)**3*(q + 6)/3
Let 4*s**2/17 + 122*s/17 - 192/17 = 0. What is s?
-32, 3/2
Suppose o**4/6 - 15*o**3 + 366*o**2 - 3827*o/3 + 1849/2 = 0. What is o?
1, 3, 43
Solve r**5/3 - 13*r**4/3 + 19*r**3 - 95*r**2/3 + 50*r/3 = 0 for r.
0, 1, 2, 5
Determine v so that -3*v**3/5 + 786*v**2 + 7869*v/5 + 3936/5 = 0.
-1, 1312
Find i, given that -i**5/4 - i**4 + i**3/4 + i**2 = 0.
-4, -1, 0, 1
Let 3*r**4/4 - 111*r**3/4 - 57*r**2/2 = 0. Calculate r.
-1, 0, 38
Factor -5*q**2 - 41540*q - 86278580.
-5*(q + 4154)**2
Factor 2*d**2 - 728*d.
2*d*(d - 364)
Factor -5*n**2 - 55*n - 50.
-5*(n + 1)*(n + 10)
Find y such that 3*y**3 - 15*y**2 + 12*y = 0.
0, 1, 4
Factor -2*c**2 + 610*c - 1812.
-2*(c - 302)*(c - 3)
Factor -5*h**2 + 20*h + 105.
-5*(h - 7)*(h + 3)
Suppose 3875*h**3 - 7730*h**2 + 3835*h + 20 = 0. Calculate h.
-4/775, 1
Factor -h**3/2 - 4*h**2 + 22*h - 24.
-(h - 2)**2*(h + 12)/2
Solve 6*d**5/7 + 10*d**4/7 + 4*d**3/7 = 0 for d.
-1, -2/3, 0
Factor -2*u**3 + 198*u**2 - 6534*u + 71874.
-2*(u - 33)**3
Determine f so that 3*f**2 + 501*f + 6006 = 0.
-154, -13
Factor -2*r**2/5 + 998*r/5 + 200.
-2*(r - 500)*(r + 1)/5
Factor 4*m**4 - 184*m**3 - 208*m**2 + 952*m - 564.
4*(m - 47)*(m - 1)**2*(m + 3)
Factor 2*d**4 + 31720*d**3 + 188654700*d**2 + 498677257000*d + 494313831001250.
2*(d + 3965)**4
Solve -4*w**4 + 12*w**3 + 72*w**2 = 0.
-3, 0, 6
Suppose -177*m**4 + 5139*m**3 - 174*m**2 = 0. What is m?
0, 2/59, 29
Solve -p**3 + 6*p**2 + 7*p = 0 for p.
-1, 0, 7
Factor -3*y**3 - 21*y**2 + 264*y - 420.
-3*(y - 5)*(y - 2)*(y + 14)
Find k such that 4*k**5 - 4*k**3 = 0.
-1, 0, 1
Factor -3*j**4 - 7614*j**3 - 4823463*j**2 + 9669780*j - 4838700.
-3*(j - 1)**2*(j + 1270)**2
Factor -c**5 + 8*c**4 - 13*c**3 + 6*c**2.
-c**2*(c - 6)*(c - 1)**2
Solve -6*r**5 - 172*r**4 - 878*r**3 + 5688*r**2 + 4352*r - 2048 = 0 for r.
-16, -1, 1/3, 4
Suppose -p**5/5 + p**4/5 + p**3 + 3*p**2/5 = 0. Calculate p.
-1, 0, 3
Find y, given that -2*y**5/9 - 8*y**4/9 + 26*y**3/9 + 80*y**2/9 - 32*y/3 = 0.
-4, 0, 1, 3
Factor -3*n**4 + 18*n**3 + 111*n**2 + 90*n.
-3*n*(n - 10)*(n + 1)*(n + 3)
Factor l**2/2 - 10*l + 32.
(l - 16)*(l - 4)/2
Suppose -x**4 - 22*x**3 - 68*x**2 + 310*x + 357 = 0. What is x?
-17, -7, -1, 3
Factor 3*k**5 + 60*k**4 + 480*k**3 + 1920*k**2 + 3840*k + 3072.
3*(k + 4)**5
What is w in 2*w**2/7 + 6*w + 76/7 = 0?
-19, -2
Let 14*q**2/5 - 46*q/5 + 12/5 = 0. What is q?
2/7, 3
Factor -v**3 + 12*v**2.
-v**2*(v - 12)
Find y such that y**5 + 127*y**4 - 1337*y**3 + 4481*y**2 - 5464*y + 2192 = 0.
-137, 1, 4
Solve 6*s**5 + s**4 - 18*s**3 - 15*s**2 - 2*s = 0.
-1, -1/6, 0, 2
What is r in -2*r**2/5 - 1048*r/5 - 1046/5 = 0?
-523, -1
Factor 2*q**4/7 + 8*q**3/7 - 8*q**2/7 - 32*q/7.
2*q*(q - 2)*(q + 2)*(q + 4)/7
Factor 5*g**4 + 105*g**3 + 490*g**2.
5*g**2*(g + 7)*(g + 14)
Solve -2*b**2/11 + 30*b/11 + 152/11 = 0.
-4, 19
Factor 2*u**4/5 + 766*u**3/5 - 308*u**2.
2*u**2*(u - 2)*(u + 385)/5
Factor -2*q**4 + 568*q**3 - 3360*q**2 + 6688*q - 4448.
-2*(q - 278)*(q - 2)**3
Determine d, given that d**2/4 - 5*d/4 - 3/2 = 0.
-1, 6
Determine o, given that 4*o**2/3 - 40*o + 416/3 = 0.
4, 26
Factor 2*a**4 + 292*a**3 + 11986*a**2 + 94928*a + 83232