4/7 = 0.
-4, -1, -2/3, 3/7
Factor -2*v**2/7 + 8*v/7 + 24/7.
-2*(v - 6)*(v + 2)/7
Factor -s**3/4 - 137*s**2/4 + 1461*s/4 - 1323/4.
-(s - 9)*(s - 1)*(s + 147)/4
Suppose -t**5 - t**4 + 5*t**3 + t**2 - 8*t + 4 = 0. What is t?
-2, 1
Suppose 2*s**3/7 + 300*s**2/7 + 4416*s/7 + 17152/7 = 0. What is s?
-134, -8
Factor x**5/4 + 11*x**4/4 + 37*x**3/4 + 45*x**2/4 + 9*x/2.
x*(x + 1)**2*(x + 3)*(x + 6)/4
Determine w so that -5*w**2/6 - 3020*w/3 + 2015/2 = 0.
-1209, 1
Factor -4*z**2 + 132*z - 128.
-4*(z - 32)*(z - 1)
Factor -800*b**2/9 - 80*b/9 - 2/9.
-2*(20*b + 1)**2/9
Factor -n**3/7 - 53*n**2/7 + 54*n/7.
-n*(n - 1)*(n + 54)/7
Determine z so that -5*z**2 - 55*z + 60 = 0.
-12, 1
Factor g**3/3 - 46*g**2/3 - 197*g/3 - 50.
(g - 50)*(g + 1)*(g + 3)/3
Factor 2*a**2 - 6644*a + 5517842.
2*(a - 1661)**2
Solve -b**5/3 - 2*b**4 + 19*b**3/3 + 20*b**2/3 - 12*b - 32/3 = 0.
-8, -1, 2
Suppose 3*a**3/5 - 63*a**2/5 - 12*a/5 + 252/5 = 0. What is a?
-2, 2, 21
Let 24*a**4 + 135*a**3 + 66*a**2 - 45*a = 0. Calculate a.
-5, -1, 0, 3/8
Suppose 4*d**2/3 - 404*d/3 - 856 = 0. What is d?
-6, 107
Let k**2 + 3*k + 2 = 0. Calculate k.
-2, -1
Factor 2*z**3/7 - 10*z**2/7.
2*z**2*(z - 5)/7
Factor -2*f**4 + 54*f**3 + 56*f**2.
-2*f**2*(f - 28)*(f + 1)
Factor 192*x**2 + 48*x + 3.
3*(8*x + 1)**2
Factor 20*v**2 + 7505*v + 1875.
5*(v + 375)*(4*v + 1)
Factor -15*s**3 + 483*s**2 - 954*s - 1080.
-3*(s - 30)*(s - 3)*(5*s + 4)
Find r, given that 4*r**2/7 - 16*r/7 - 20/7 = 0.
-1, 5
Factor -2*y**2 + 102*y + 812.
-2*(y - 58)*(y + 7)
Factor 5*u**2/4 - 45/4.
5*(u - 3)*(u + 3)/4
Let 8*c**4/9 - 14*c**3/3 + 14*c**2/3 - 8*c/9 = 0. What is c?
0, 1/4, 1, 4
Factor 5*m**3 + 25*m**2 - 5*m - 25.
5*(m - 1)*(m + 1)*(m + 5)
Let -2*g**3/17 + 40*g**2/17 - 2*g - 76/17 = 0. What is g?
-1, 2, 19
Factor -2*k**2/13 - 44*k/13 + 46/13.
-2*(k - 1)*(k + 23)/13
Factor -d**3/2 + 6565*d**2 - 43099225*d/2.
-d*(d - 6565)**2/2
Factor 25*r**4 - 705*r**3 + 1374*r**2 + 1444*r + 312.
(r - 26)*(r - 3)*(5*r + 2)**2
Let 5*t**5 - 20*t**4 + 10*t**3 + 20*t**2 - 15*t = 0. What is t?
-1, 0, 1, 3
Factor 63*i**3/2 + 253*i**2 + 8*i.
i*(i + 8)*(63*i + 2)/2
Suppose -b**4/6 + b**3/6 + 13*b**2/6 - b/6 - 2 = 0. Calculate b.
-3, -1, 1, 4
Determine m so that -3*m**4 - 90*m**3 - 252*m**2 - 246*m - 81 = 0.
-27, -1
Factor -2*a**2/17 - 1548*a/17 - 1546/17.
-2*(a + 1)*(a + 773)/17
Factor -4*t**3 - 384*t**2 - 756*t - 376.
-4*(t + 1)**2*(t + 94)
Solve -2*y**3/9 + 42*y**2 - 6016*y/3 + 17672/9 = 0.
1, 94
Factor 2*l**5 + 8*l**4 + 8*l**3.
2*l**3*(l + 2)**2
Factor 4*y**4 - 28*y**3 + 32*y**2 + 64*y.
4*y*(y - 4)**2*(y + 1)
Let 110*p**2 + 205*p - 30 = 0. What is p?
-2, 3/22
Find q such that -2*q**2/5 - 20*q + 102/5 = 0.
-51, 1
Suppose 2*p**4/11 - 32*p**3/11 + 138*p**2/11 - 52*p/11 - 224/11 = 0. Calculate p.
-1, 2, 7, 8
Suppose 2*d**2/9 - 2*d/9 - 4/3 = 0. What is d?
-2, 3
Find v such that -2*v**4/15 - 28*v**3/15 - 22*v**2/5 = 0.
-11, -3, 0
Factor -2*a**4/9 - 2*a**3/9 + 10*a**2/9 - 2*a/3.
-2*a*(a - 1)**2*(a + 3)/9
Factor -260*v**2/3 - 2332*v/3 + 24.
-4*(v + 9)*(65*v - 2)/3
What is i in 2*i**5/3 - 82*i**4/3 - 170*i**3/3 - 86*i**2/3 = 0?
-1, 0, 43
Find g, given that -39*g**5 + 750*g**4 - 3291*g**3 - 3180*g**2 + 900*g = 0.
-1, 0, 3/13, 10
Solve -2*q**3/7 - 108*q**2/7 + 702*q/7 - 1080/7 = 0.
-60, 3
Factor 4*r**3/5 - 5088*r**2/5 + 2157312*r/5 - 304900096/5.
4*(r - 424)**3/5
Factor -w**2 - 26*w/7 + 8/7.
-(w + 4)*(7*w - 2)/7
Suppose 5*j**4 - 60*j**3 + 255*j**2 - 440*j + 240 = 0. What is j?
1, 3, 4
Factor o**2 + 134*o + 645.
(o + 5)*(o + 129)
What is j in 2*j**5/11 - 20*j**3/11 - 40*j**2/11 - 30*j/11 - 8/11 = 0?
-1, 4
Factor -i**3/2 + 57*i**2 + 231*i/2 + 58.
-(i - 116)*(i + 1)**2/2
Factor -52*y**5 + 928*y**4 - 6528*y**3 + 22528*y**2 - 37888*y + 24576.
-4*(y - 4)**4*(13*y - 24)
Let -5*m**4 - 165*m**3 - 450*m**2 = 0. Calculate m.
-30, -3, 0
Factor -3*w**2/5 - 12366*w/5 - 12743163/5.
-3*(w + 2061)**2/5
Let -36*w**2 - 104*w = 0. Calculate w.
-26/9, 0
Factor -4*k**4/5 + 13*k**3/5 + 13*k**2/5 - 4*k/5.
-k*(k - 4)*(k + 1)*(4*k - 1)/5
Find b such that -3*b**5/5 + 3*b**3/5 = 0.
-1, 0, 1
Find l such that 27*l**5 - 21*l**4 - 87*l**3 + 9*l**2 + 60*l + 12 = 0.
-1, -2/9, 1, 2
What is h in -6*h**5 + 4*h**4 + 20*h**3 - 14*h - 4 = 0?
-1, -1/3, 1, 2
What is d in d**2/6 - d/3 - 20 = 0?
-10, 12
Solve -3*c**5 - 12*c**4 + 33*c**3 - 18*c**2 = 0 for c.
-6, 0, 1
Solve -2*p**4/9 - 8*p**3/3 - 74*p**2/9 + 20*p/3 + 400/9 = 0.
-5, -4, 2
Factor -2*a**3 - 600*a**2 - 60000*a - 2000000.
-2*(a + 100)**3
Factor 4*n**2 - 6480*n + 2624400.
4*(n - 810)**2
Determine a so that 3*a**4/4 + 23*a**3/2 + 60*a**2 + 225*a/2 + 125/4 = 0.
-5, -1/3
Factor 2*j**3/5 + 524*j**2 + 171610*j.
2*j*(j + 655)**2/5
Factor -o**3/5 + 136*o**2/5 - 257*o + 630.
-(o - 126)*(o - 5)**2/5
Determine p so that -3*p**2 + 258*p + 1656 = 0.
-6, 92
Determine w, given that 5324*w**3/9 + 24200*w**2/3 + 110000*w/3 + 500000/9 = 0.
-50/11
Suppose 2*l**5/7 - 10*l**4 + 414*l**3/7 + 3446*l**2/7 + 5360*l/7 + 2400/7 = 0. Calculate l.
-3, -1, 20
Factor -2*g**2/9 + 20*g/9 + 32.
-2*(g - 18)*(g + 8)/9
What is w in w**3/3 + 2*w**2/3 - 7*w/3 + 4/3 = 0?
-4, 1
Solve -4*k**2 - 496*k - 15376 = 0 for k.
-62
Factor -5*t**3 + 865*t**2 - 860*t.
-5*t*(t - 172)*(t - 1)
Factor 3*n**4 + 9*n**3 + 6*n**2.
3*n**2*(n + 1)*(n + 2)
Factor -k**4/8 - k**3/2 - k**2/2.
-k**2*(k + 2)**2/8
Factor 10*s**3 + 335*s**2 + 935*s + 610.
5*(s + 1)*(s + 2)*(2*s + 61)
Factor 4*n**2 - 25*n + 36.
(n - 4)*(4*n - 9)
Determine w, given that -5*w**5/6 - w**4/3 + 25*w**3/6 + 5*w**2/3 - 10*w/3 - 4/3 = 0.
-2, -1, -2/5, 1, 2
Solve 392*l**3 - 4228*l**2 - 1839*l/2 - 99/2 = 0 for l.
-3/28, 11
Factor -2028*b**3 - 16068*b**2 + 1245*b - 24.
-3*(b + 8)*(26*b - 1)**2
Let -n**5/5 - 4*n**4/5 - n**3/5 + 6*n**2/5 = 0. What is n?
-3, -2, 0, 1
Solve -2*y**3 + 14*y**2 - 24*y = 0 for y.
0, 3, 4
Solve -n**2/2 + 5*n - 12 = 0 for n.
4, 6
Let 3*f**5 + 30*f**4 + 60*f**3 - 30*f**2 - 63*f = 0. Calculate f.
-7, -3, -1, 0, 1
Solve 3*d**2/5 + 822*d/5 - 1656/5 = 0 for d.
-276, 2
Determine h so that 2*h**3/7 + 68*h**2/7 + 478*h/7 + 100 = 0.
-25, -7, -2
Factor g**5 - g**4 - 8*g**3 + 8*g**2 + 16*g - 16.
(g - 2)**2*(g - 1)*(g + 2)**2
Factor x**3 - 52*x**2 - 53*x.
x*(x - 53)*(x + 1)
Let -12*u**4 - 87*u**3 + 27*u**2 + 348*u + 84 = 0. What is u?
-7, -2, -1/4, 2
Determine z so that -z**4/7 - 3*z**3 - 131*z**2/7 - 171*z/7 + 324/7 = 0.
-9, -4, 1
Solve 3*c**2/2 - 189*c + 11907/2 = 0.
63
Find f, given that -15*f**3/4 - 207*f**2/2 + 9843*f/4 - 1935/2 = 0.
-43, 2/5, 15
Let 2*h**4/9 - 2*h**3/9 - 74*h**2/9 + 242*h/9 - 56/3 = 0. Calculate h.
-7, 1, 3, 4
Find i, given that -2*i**3/13 - 140*i**2/13 + 584*i/13 - 592/13 = 0.
-74, 2
Solve -4*p**4 - 12*p**3 + 220*p**2 - 564*p + 360 = 0.
-10, 1, 3
Determine h, given that -45*h**5/4 + 71*h**4/2 - 31*h**3/4 - 99*h**2/2 + 19*h + 14 = 0.
-1, -2/5, 1, 14/9, 2
Let 2*w**4/9 + 20*w**3/9 - 22*w**2/9 = 0. What is w?
-11, 0, 1
What is x in 117*x**3/5 - 186*x**2 + 1824*x/5 + 96/5 = 0?
-2/39, 4
Factor 2*p**3/7 - 26*p**2/7 + 10*p + 14.
2*(p - 7)**2*(p + 1)/7
Let v**4/6 + 5*v**3/6 + v**2 = 0. Calculate v.
-3, -2, 0
Factor -2*u**3/5 + 26*u**2/5 + 18*u/5 - 162.
-2*(u - 9)**2*(u + 5)/5
Determine o so that 7*o**3/2 + 37*o**2/2 - 44*o - 14 = 0.
-7, -2/7, 2
Factor -5*y**2 - 260*y + 1120.
-5*(y - 4)*(y + 56)
Factor 2*m**2/21 + 586*m/21 + 2312/21.
2*(m + 4)*(m + 289)/21
Solve -v**4 + 876*v**3 - 190084*v**2 - 770880*v - 774400 = 0.
-2, 440
Factor 2*j**3/17 + 12*j**2/17 - 32*j/17.
2*j*(j - 2)*(j + 8)/17
What is k in k**4 - 19*k**3 - 2863*k**2 + 5779*k - 2898 = 0?
-46, 1, 63
Suppose a**2/2 + 4153*a + 17247409/2 = 0. Calculate a.
-4153
Factor -3*l**5 + 150*l**4 - 2595*l**3 + 17040*l**2 - 26880*l + 12288.
-3*(l - 16)**3*(l - 1)**2
Let 5*l**5 - 445*l**4 + 9675*l**3 + 10125*l**2 = 0. What is l?
-1, 0, 45
Factor 2*t**2/7 + 80*t/7 + 78/7.
2*(t + 1)*(t + 39)/7
Factor o**4/8 - o**3/4 - 7*o**2/8 - o/2.
o*(o - 4)*(o + 1)**2/8
What is i in 14*i**4/3 - 340*i**3/3 + 326*i**2 - 84*i = 0?
0, 2/7, 3, 21
Factor 4*l**2/3 - 188*l/3 - 3416/3.
4*(l - 61)*(l + 14)/3
Factor 15*c**3 - 3710*c**2 + 26320*c + 19200.
5*(c - 240)*(c - 8)*(3*c + 2)
Factor 5*k**3 - 75*k**2 - 530*k + 600.
5*(k - 20)*(k - 1)*(k + 6)
Find i such that -22*i**4/5 + 12*i**3 + 134*i**2/5 - 12*i - 112/5 = 0.
-14/11, -1, 1, 4
Solve 9*i**2 - 753*i + 498 = 0 for i.
2/3, 83
Solve -4*t**5 + 2*t**