13*v/6 - 2/3 = 0. What is v?
1, 4
Factor 4*v**2 + 300*v + 2816.
4*(v + 11)*(v + 64)
Let -5*h**5 + 17*h**4 - 18*h**3 + 2*h**2 + 7*h - 3 = 0. What is h?
-3/5, 1
Factor -2*p**3 + 168*p**2 - 162*p - 332.
-2*(p - 83)*(p - 2)*(p + 1)
Factor k**4/7 + 11*k**3/7 + 10*k**2/7.
k**2*(k + 1)*(k + 10)/7
Factor 2*h**2/5 + 68*h/5 + 58.
2*(h + 5)*(h + 29)/5
Suppose d**5/6 - 5*d**4/3 - 14*d**3/3 + 23*d**2/3 + 9*d/2 - 6 = 0. What is d?
-3, -1, 1, 12
Factor 24*b**2 + 628*b + 104.
4*(b + 26)*(6*b + 1)
Let -3*g**3/2 + 876*g**2 - 3495*g/2 + 873 = 0. What is g?
1, 582
Factor 17*u**3/6 + 3*u**2 - 11*u/2 - 1/3.
(u - 1)*(u + 2)*(17*u + 1)/6
What is t in 2*t**4 + 32*t**3 - 108*t**2 - 3888*t - 16038 = 0?
-9, 11
Suppose -2*x**5/5 - 72*x**4 - 15466*x**3/5 + 65876*x**2/5 - 83904*x/5 + 33856/5 = 0. What is x?
-92, 1, 2
Factor -3*n**3/5 + 1500*n**2 - 937500*n.
-3*n*(n - 1250)**2/5
Factor 2*v**2/5 - 236*v/5.
2*v*(v - 118)/5
Find u such that -2*u**2/5 - 16*u + 1512/5 = 0.
-54, 14
Factor 6*v**4/5 - 148*v**3/5 + 1248*v**2/5 - 768*v + 2048/5.
2*(v - 8)**3*(3*v - 2)/5
Factor -15*y**2 - 18936*y - 7572.
-3*(y + 1262)*(5*y + 2)
Suppose -2*x**5/5 - 2*x**4/5 + 52*x**3/5 + 168*x**2/5 + 144*x/5 = 0. Calculate x.
-3, -2, 0, 6
Let 4*a**4 + 8*a**3 - 8*a - 4 = 0. Calculate a.
-1, 1
Let -3*f**3 - 2457*f**2 - 670761*f - 61039251 = 0. Calculate f.
-273
Suppose -t**5/4 - 7*t**4/4 + 31*t**3/4 + 7*t**2/4 - 15*t/2 = 0. What is t?
-10, -1, 0, 1, 3
Factor -y**3/7 - 27*y**2/7 - 87*y/7 + 115/7.
-(y - 1)*(y + 5)*(y + 23)/7
Find q such that 3*q**5 + 428*q**4 + 1952*q**3 + 2768*q**2 + 1104*q = 0.
-138, -2, -2/3, 0
Determine g so that -2*g**3 - 6*g**2 + 2*g + 6 = 0.
-3, -1, 1
Let b**2 + 6*b - 40 = 0. What is b?
-10, 4
Determine k so that -4*k**3 - 976*k**2 + 5964*k - 9000 = 0.
-250, 3
Find x, given that 33*x**3/2 + 6*x**2 - 33*x/2 - 6 = 0.
-1, -4/11, 1
Suppose -4*h**4 - 108*h**3 + 1560*h**2 + 9728*h + 8064 = 0. Calculate h.
-36, -4, -1, 14
Solve -2*b**3/3 - 344*b**2/3 - 1304*b - 3840 = 0.
-160, -6
Factor -22*c**3/9 - 4*c**2/9.
-2*c**2*(11*c + 2)/9
Factor -4*q**2/3 - 40*q + 900.
-4*(q - 15)*(q + 45)/3
Find x, given that -2*x**2 + 78*x = 0.
0, 39
Solve -13778*x**2/13 - 332*x/13 - 2/13 = 0 for x.
-1/83
Factor 4*v**2 - 292*v - 1232.
4*(v - 77)*(v + 4)
Determine b so that -b**3/7 - 1202*b**2/7 = 0.
-1202, 0
Factor -2*l**3/9 + 736*l**2/9 + 2*l/9 - 736/9.
-2*(l - 368)*(l - 1)*(l + 1)/9
Factor -2*d**2/3 + 240*d.
-2*d*(d - 360)/3
Let -2*k**2 - 2822*k/9 + 628/9 = 0. What is k?
-157, 2/9
Factor 3*k**3/2 - 3393*k**2/2 + 478836*k + 480534.
3*(k - 566)**2*(k + 1)/2
Factor 5*b**3 - 20*b**2 - 5*b + 20.
5*(b - 4)*(b - 1)*(b + 1)
Factor 3*h**2/2 - 2691*h + 2413827/2.
3*(h - 897)**2/2
Solve y**3/3 - 81*y**2 - 495*y - 747 = 0.
-3, 249
What is v in 2*v**3/9 + 140*v**2/9 + 598*v/3 - 2704 = 0?
-39, 8
Factor -5*o**3 + 90*o**2 - 435*o + 550.
-5*(o - 11)*(o - 5)*(o - 2)
Let 2*k**2/9 - 10*k/9 + 4/3 = 0. What is k?
2, 3
Determine r so that r**3/2 + 183*r**2/2 + 4140*r - 4232 = 0.
-92, 1
Determine b, given that 6*b**2/7 + 1144*b/7 - 1536/7 = 0.
-192, 4/3
Find h, given that -2*h**3/5 + 14*h**2/5 + 56*h/5 + 8 = 0.
-2, -1, 10
What is i in 2*i**4/5 + 144*i**3/5 - 446*i**2/5 + 60*i = 0?
-75, 0, 1, 2
Suppose -5*f**5/3 - 80*f**4/3 - 265*f**3/3 - 310*f**2/3 - 40*f = 0. What is f?
-12, -2, -1, 0
Find j, given that -26*j**5/7 - 110*j**4/7 - 102*j**3/7 - 18*j**2/7 = 0.
-3, -1, -3/13, 0
Let 5*g**5 - 23*g**4 - 20*g**3 + 116*g**2 + 48*g = 0. What is g?
-2, -2/5, 0, 3, 4
Let 4*v**4 + 8*v**3 - 4*v**2 - 8*v = 0. Calculate v.
-2, -1, 0, 1
Suppose -2*i**4/9 + 344*i**3/9 - 6496*i**2/3 + 349856*i/9 + 780448/9 = 0. Calculate i.
-2, 58
Factor -p**3/3 - 4*p**2/3 - p/3 + 2.
-(p - 1)*(p + 2)*(p + 3)/3
Suppose 6*w**2 - 2505*w + 1251 = 0. Calculate w.
1/2, 417
Factor -2*r**2 - 96*r - 814.
-2*(r + 11)*(r + 37)
Solve -16*l**4/15 + 46*l**3/15 + 22*l**2/15 - 46*l/15 - 2/5 = 0 for l.
-1, -1/8, 1, 3
Factor 4*m**3 - 44*m**2 + 28*m + 588.
4*(m - 7)**2*(m + 3)
Determine r so that 18*r**5/11 - 2856*r**4/11 - 3832*r**3/11 - 1280*r**2/11 = 0.
-2/3, 0, 160
Let 4*y**2 - 224*y - 960 = 0. What is y?
-4, 60
Solve 2*c**3 + 52*c**2 + 142*c + 92 = 0.
-23, -2, -1
Suppose 5*s**5 + 1090*s**4 + 64565*s**3 + 558520*s**2 + 927680*s + 432640 = 0. What is s?
-104, -8, -1
What is s in s**4/7 + 8*s**3/7 + 11*s**2/7 - 20*s/7 = 0?
-5, -4, 0, 1
Find j such that -2*j**3/15 - 64*j**2/15 - 38*j/15 + 248/5 = 0.
-31, -4, 3
Find k, given that -4*k**3 - 96*k**2 + 432*k - 448 = 0.
-28, 2
Let 2*p**5/11 + 20*p**4/11 - 34*p**3/11 - 340*p**2/11 + 32*p/11 + 320/11 = 0. What is p?
-10, -4, -1, 1, 4
Determine t so that -2*t**3/7 + 108*t**2/7 - 1938*t/7 + 11552/7 = 0.
16, 19
Factor -2*x**2 + 142*x.
-2*x*(x - 71)
Let 2*s**2/9 + 280*s/9 - 94/3 = 0. Calculate s.
-141, 1
Suppose 3*o**4/5 + 36*o**3/5 + 63*o**2/5 - 294*o/5 = 0. What is o?
-7, 0, 2
Let 28*v**5/3 + 201*v**4 + 3089*v**3/3 - 1861*v**2/3 - 539*v - 242/3 = 0. What is v?
-11, -2/7, -1/4, 1
Factor 2*v**2/7 - 12396*v/7 + 19207602/7.
2*(v - 3099)**2/7
Suppose 4*o**4/5 + 24*o**3/5 + 44*o**2/5 + 24*o/5 = 0. What is o?
-3, -2, -1, 0
Factor 47*u**2/3 + 125*u - 8/3.
(u + 8)*(47*u - 1)/3
Factor -52*a**2/3 - 29*a/3 - 1/2.
-(2*a + 1)*(52*a + 3)/6
Factor q**5 - 14*q**4 + 72*q**3 - 160*q**2 + 128*q.
q*(q - 4)**3*(q - 2)
Determine n so that 5*n**3 + 315*n**2 - 320*n = 0.
-64, 0, 1
Factor -5*x**2 - 63900*x - 204160500.
-5*(x + 6390)**2
Let 21*j**4/2 + 489*j**3/2 + 279*j**2 - 402*j - 132 = 0. Calculate j.
-22, -2, -2/7, 1
Determine l, given that -l**5/5 - 4*l**4/5 + 12*l**3/5 + 32*l**2/5 - 64*l/5 = 0.
-4, 0, 2
Find r such that -5*r**2/2 + 905*r - 1800 = 0.
2, 360
Solve -y**3 = 0 for y.
0
Determine o so that 2*o**4/7 + 6*o**3/7 + 4*o**2/7 = 0.
-2, -1, 0
Factor -f**2/3 - 2926*f/3 - 2140369/3.
-(f + 1463)**2/3
Find f such that 3*f**2/7 - 3*f + 36/7 = 0.
3, 4
Solve 17*a**5 + 240*a**4 + 793*a**3 + 974*a**2 + 444*a + 40 = 0.
-10, -2, -1, -2/17
Determine y so that -2*y**5/5 - 34*y**4/5 - 176*y**3/5 - 80*y**2 - 416*y/5 - 32 = 0.
-10, -2, -1
Suppose -3*j**3 - 139*j**2 + 1228*j - 756 = 0. Calculate j.
-54, 2/3, 7
Find k, given that k**2 - 624*k + 97344 = 0.
312
Suppose -l**5/3 + l**4 + l**3/3 - 11*l**2/3 + 4*l - 4/3 = 0. Calculate l.
-2, 1, 2
Solve -a**3 + 9*a**2 + 22*a = 0 for a.
-2, 0, 11
Determine l, given that -3*l**2 + 233*l + 478 = 0.
-2, 239/3
What is o in -o**2/4 - 15*o/4 - 9 = 0?
-12, -3
Find z, given that 2*z**5/19 + 10*z**4/19 - 8*z**3/19 - 88*z**2/19 - 96*z/19 = 0.
-4, -2, 0, 3
Factor a**3/3 + 98*a**2/3 + 2300*a/3 - 5000/3.
(a - 2)*(a + 50)**2/3
Find x, given that -3*x**3/8 + 2487*x**2/8 - 621*x/2 = 0.
0, 1, 828
Factor -z**2 + 19*z/3 - 2.
-(z - 6)*(3*z - 1)/3
Find f such that 35*f**4 + 30145*f**3 - 21560*f**2 - 8620*f = 0.
-862, -2/7, 0, 1
Factor g**5/6 + 82*g**4/3 - 83*g**3 + 250*g**2/3 - 167*g/6.
g*(g - 1)**3*(g + 167)/6
Factor -d**2 - 556*d - 77284.
-(d + 278)**2
Factor -5*p**2/3 + 70*p - 1360/3.
-5*(p - 34)*(p - 8)/3
Factor 5*o**3/3 - 550*o**2/3 + 545*o/3.
5*o*(o - 109)*(o - 1)/3
Solve 3*q**3/2 - 189*q**2/2 + 369*q/2 - 183/2 = 0 for q.
1, 61
Factor -z**2/6 + 10*z/3 - 19/6.
-(z - 19)*(z - 1)/6
Solve 9*q**3 + 15*q**2 - 321*q + 105 = 0 for q.
-7, 1/3, 5
Suppose -35*o**4 - 2120*o**3 - 1185*o**2 + 900*o = 0. Calculate o.
-60, -1, 0, 3/7
Factor 3*v**3 - 45*v**2 + 24*v + 252.
3*(v - 14)*(v - 3)*(v + 2)
Factor 2*g**2 - 42*g - 1404.
2*(g - 39)*(g + 18)
Factor 2*s**5 - 12*s**4 + 18*s**3 + 8*s**2 - 24*s.
2*s*(s - 3)*(s - 2)**2*(s + 1)
Factor -7795*m**5 + 10*m**4.
-5*m**4*(1559*m - 2)
Let i**3 - 1769*i**2 - 7088*i - 7092 = 0. Calculate i.
-2, 1773
Factor -5*a**3 + 90*a**2 - 225*a.
-5*a*(a - 15)*(a - 3)
Factor -l**3 - 483*l**2 - 962*l.
-l*(l + 2)*(l + 481)
Factor 3*k**2/5 + 23454*k/5 + 45840843/5.
3*(k + 3909)**2/5
Factor -75*i**5/2 - 255*i**4 - 1047*i**3/2 - 306*i**2 - 54*i.
-3*i*(i + 3)**2*(5*i + 2)**2/2
Factor -3*z**5 + 12*z**4 - 15*z**3 + 6*z**2.
-3*z**2*(z - 2)*(z - 1)**2
Suppose 3*q**4 - 84*q**3 + 816*q**2 - 3120*q + 3600 = 0. What is q?
2, 6, 10
Find s, given that 3*s**5 - 315*s**4 + 9285*s**3 - 52725*s**2 + 52920*s + 115248 = 0.
-1, 4, 49
Determine w, given that -5*w**3 + 545*w**2 + 550*w = 0.
-1, 0, 110
Factor -s**4/4 + 9*s**3/4 + 10*s**2 - 12*s.
-s*(s - 12)*(s - 1)*(s + 4)/4
Let a**4 + 5*a**3 - 6*a**2 = 0. What is a?
-6, 0, 1
Factor u**2/6 - 124*u/3 - 83/2.
(u - 249