- 72 = 0.
-6, -1, 1, 2
What is p in 8*p**5 + 372*p**4 + 5080*p**3 + 7072*p**2 - 194208*p - 98260 = 0?
-17, -1/2, 5
Suppose -h**2/3 - 23*h/3 - 14 = 0. What is h?
-21, -2
Determine b, given that 2*b**4/7 + 114*b**3/7 + 324*b**2 + 17496*b/7 + 34992/7 = 0.
-18, -3
Factor -5*v**5/2 - 5*v**4/2 + 30*v**3.
-5*v**3*(v - 3)*(v + 4)/2
Factor 4*d**3 - 88*d**2 + 84*d.
4*d*(d - 21)*(d - 1)
Let -2*z**4 + 20*z**3 + 24*z**2 - 20*z - 22 = 0. Calculate z.
-1, 1, 11
Factor -2*c**3/7 + 104*c**2/7 + 2*c/7 - 104/7.
-2*(c - 52)*(c - 1)*(c + 1)/7
Factor 2*g**5/5 - 8*g**4/5 + 2*g**3 - 4*g**2/5.
2*g**2*(g - 2)*(g - 1)**2/5
What is n in -n**5 + 26*n**4 + 192*n**3 + 32*n**2 - 1024*n = 0?
-4, 0, 2, 32
Factor 3*p**3 + 8667*p**2 + 8346321*p + 2679169041.
3*(p + 963)**3
Suppose 10*g**4/3 - 43*g**3/3 + 35*g**2/3 + 19*g/3 - 7 = 0. Calculate g.
-7/10, 1, 3
Factor j**5 + 40*j**4 - j**3 - 40*j**2.
j**2*(j - 1)*(j + 1)*(j + 40)
Factor 2*i**4/3 + 4*i**3 + 6*i**2 + 8*i/3.
2*i*(i + 1)**2*(i + 4)/3
Find v, given that -v**5/3 - 6*v**4 - 112*v**3/3 - 90*v**2 - 175*v/3 = 0.
-7, -5, -1, 0
Solve -5*t**2 - 15*t - 10 = 0 for t.
-2, -1
Suppose t**3/3 + 45*t**2 + 2025*t + 30375 = 0. Calculate t.
-45
Solve -x**2/2 - 24*x + 153/2 = 0.
-51, 3
Solve z**3 + 8*z**2 - 204*z + 720 = 0 for z.
-20, 6
Factor -2*v**2/5 + 104*v/5 - 1352/5.
-2*(v - 26)**2/5
Factor m**4/4 - 31*m**3/4 + 299*m**2/4 - 845*m/4.
m*(m - 13)**2*(m - 5)/4
Factor -m**4/4 - 5*m**3/4 + 7*m**2/2 + 9*m - 18.
-(m - 2)**2*(m + 3)*(m + 6)/4
Suppose -3*u**2/2 - 819*u/4 - 102 = 0. What is u?
-136, -1/2
Suppose -32*k**4/13 + 944*k**3/13 + 478*k**2/13 + 60*k/13 = 0. Calculate k.
-1/4, 0, 30
Factor 3*c**5 - 12*c**4 - 36*c**3 + 96*c**2 + 192*c.
3*c*(c - 4)**2*(c + 2)**2
Factor 20*i**3/3 + 28*i**2/3 - 8*i.
4*i*(i + 2)*(5*i - 3)/3
Factor q**5 + 5*q**4 + 8*q**3 + 4*q**2.
q**2*(q + 1)*(q + 2)**2
Suppose 4*b**2/3 + 992*b/3 + 61504/3 = 0. What is b?
-124
Let 2*r**3 - 14*r**2 + 30*r - 18 = 0. Calculate r.
1, 3
What is x in -x**2/3 + 79*x/3 - 154/3 = 0?
2, 77
Determine r, given that -8*r**4 + 28*r**3 - 8*r**2 - 12*r = 0.
-1/2, 0, 1, 3
Solve -3*h**2/4 + 129*h/4 - 123/2 = 0 for h.
2, 41
Solve -16*b**2/17 - 42*b/17 + 18/17 = 0 for b.
-3, 3/8
Factor 7*g**2 + 4*g - 3.
(g + 1)*(7*g - 3)
Determine w so that -10*w**5/7 - 134*w**4/7 + 94*w**3/7 + 134*w**2/7 - 12*w = 0.
-14, -1, 0, 3/5, 1
Find s such that -125*s**3 - 3900*s**2 - 40560*s - 140608 = 0.
-52/5
Find d such that -d**2 - 27*d - 140 = 0.
-20, -7
Let 2*i**3/7 - 100*i**2/7 + 14*i = 0. What is i?
0, 1, 49
Factor -162*k**3/13 - 1710*k**2/13 + 784*k/13 - 88/13.
-2*(k + 11)*(9*k - 2)**2/13
Determine h so that h**3/4 + 43*h**2/4 + 79*h/4 - 123/4 = 0.
-41, -3, 1
Factor -1465*f**2/3 + 2932*f/3 - 4/3.
-(f - 2)*(1465*f - 2)/3
Suppose 2*l**2/7 + 262*l/7 - 76 = 0. Calculate l.
-133, 2
Determine v so that -v**3/2 - 782*v**2 + 1565*v/2 = 0.
-1565, 0, 1
Factor -14*s**3 + 160*s**2 - 408*s - 288.
-2*(s - 6)**2*(7*s + 4)
Factor 4*o**4 - 4*o**3 - 168*o**2.
4*o**2*(o - 7)*(o + 6)
Factor -7*o**2/5 - 47*o/5 + 14/5.
-(o + 7)*(7*o - 2)/5
Suppose 3*c**3/7 - 114*c**2/7 - 117*c/7 = 0. Calculate c.
-1, 0, 39
Determine r so that -4*r**4 + 112*r**3 - 404*r**2 + 488*r - 192 = 0.
1, 2, 24
Find r, given that -2*r**5 + 62*r**3 - 212*r**2 + 264*r - 112 = 0.
-7, 1, 2
Solve 16*l**4/5 + 254*l**3/5 - 1488*l**2/5 - 26858*l/5 + 676 = 0.
-13, 1/8, 10
Factor 4*h**2 - 40*h + 100.
4*(h - 5)**2
Suppose 128*q**4 - 1376*q**3 + 984*q**2 - 242*q + 20 = 0. What is q?
1/4, 10
Find u, given that 3*u**3 + 60*u**2 - 1728*u = 0.
-36, 0, 16
Determine t, given that -t**4/3 - 14*t**3/3 + 7*t**2 + 30*t = 0.
-15, -2, 0, 3
Suppose 1782*k**3 - 3555*k**2 - 24*k + 12 = 0. Calculate k.
-2/33, 1/18, 2
Factor -45*j**2 + 1060*j + 480.
-5*(j - 24)*(9*j + 4)
Factor -s**4/9 + 11*s**3/9 - 8*s**2/3 - 4*s.
-s*(s - 6)**2*(s + 1)/9
Let 5*x**3 - 60*x**2 - 495*x - 810 = 0. Calculate x.
-3, 18
Factor 8*p**4 + 30*p**3 - 232*p**2 + 312*p - 64.
2*(p - 2)**2*(p + 8)*(4*p - 1)
Factor 2*a**2/13 - 8*a/13.
2*a*(a - 4)/13
Determine c, given that 4*c**2 + 704*c + 30976 = 0.
-88
Factor q**2/3 + 19*q/3.
q*(q + 19)/3
Suppose 2*n**5/11 + 2*n**4 - 86*n**3/11 - 862*n**2/11 + 84*n = 0. What is n?
-11, -7, 0, 1, 6
Let -k**5/2 + 2*k**4 + k**3/2 - 8*k**2 + 6*k = 0. What is k?
-2, 0, 1, 2, 3
Determine c, given that -c**4 + 4*c**3 - c**2 - 6*c = 0.
-1, 0, 2, 3
What is a in 36125*a**2 - 40800*a + 11520 = 0?
48/85
Determine m so that -m**3 + 1261*m**2/3 + 842*m/3 = 0.
-2/3, 0, 421
Solve -5*m**4 + 515*m**3 - 1015*m**2 + 505*m = 0.
0, 1, 101
Factor -3*l**4/4 - 1491*l**3/4 - 46500*l**2 - 46128*l.
-3*l*(l + 1)*(l + 248)**2/4
Solve -2*n**4 + 58*n**3 + 72*n**2 - 360*n = 0.
-3, 0, 2, 30
Solve -3*b**5 - 3*b**4 + 15*b**3 - 9*b**2 = 0 for b.
-3, 0, 1
Solve -2*s**2/7 - 12*s/7 - 18/7 = 0 for s.
-3
Suppose a**2/4 + 251*a/4 + 125/2 = 0. Calculate a.
-250, -1
Factor a**2/3 + 158*a/3 + 672.
(a + 14)*(a + 144)/3
Factor -2*x**3/3 - 22*x**2 - 472*x/3 - 320.
-2*(x + 4)*(x + 5)*(x + 24)/3
Find a, given that 5*a**4 + 815*a**3 + 1615*a**2 + 805*a = 0.
-161, -1, 0
Factor 2*o**4/7 + 8*o**3/7 - 38*o**2/7 + 4*o.
2*o*(o - 2)*(o - 1)*(o + 7)/7
Factor q**3/4 - 29*q**2/4 + 7*q.
q*(q - 28)*(q - 1)/4
Determine i so that i**2/3 - 158*i/3 - 53 = 0.
-1, 159
Solve 4*s**4 - 20*s**3 - 8*s**2 + 96*s = 0 for s.
-2, 0, 3, 4
Factor 2*h**3/7 - 90*h**2/7 + 138*h + 1058/7.
2*(h - 23)**2*(h + 1)/7
Factor n**3/3 - 29*n**2/3 + 55*n/3 - 9.
(n - 27)*(n - 1)**2/3
Suppose 8*v**5/7 - 6*v**4 - 606*v**3/7 + 3394*v**2/7 - 486*v + 648/7 = 0. Calculate v.
-9, 1/4, 1, 4, 9
Let 4*k**3 - 28*k**2 - 32*k = 0. Calculate k.
-1, 0, 8
Factor -3*x**3 + 9*x**2 + 12*x.
-3*x*(x - 4)*(x + 1)
Factor 2*u**2 + 41*u - 43.
(u - 1)*(2*u + 43)
Factor 4*t**4/7 - 24*t**3/7 - 52*t**2.
4*t**2*(t - 13)*(t + 7)/7
Suppose -5*a**4 - 60*a**3 - 175*a**2 + 60*a + 180 = 0. What is a?
-6, -1, 1
Let 5*q**5 + 25*q**4 - 390*q**3 + 360*q**2 = 0. What is q?
-12, 0, 1, 6
Find z, given that -290405*z**2 - 4820*z - 20 = 0.
-2/241
Suppose -2*j**4/9 + 34*j**3/3 + 2*j**2/3 - 302*j/9 - 68/3 = 0. Calculate j.
-1, 2, 51
Factor 2*k**4/7 - 78*k**3/7 + 352*k**2/7 - 408*k/7.
2*k*(k - 34)*(k - 3)*(k - 2)/7
Solve -3*g**5/7 + 45*g**4/7 + 48*g**3/7 = 0.
-1, 0, 16
Factor -b**2/5 + 18*b - 261/5.
-(b - 87)*(b - 3)/5
Factor -o**2/6 - 31*o/3 - 961/6.
-(o + 31)**2/6
Solve -u**2 + 16*u - 60 = 0.
6, 10
Factor 10*x**2/7 + 94*x/7 + 36/7.
2*(x + 9)*(5*x + 2)/7
Solve -a**3/3 + 4*a**2 + 4*a/3 - 16 = 0.
-2, 2, 12
Determine v so that -26*v**2/7 + 1114*v/7 + 172/7 = 0.
-2/13, 43
Suppose -4*y**4 + 12*y**3 + 28*y**2 - 60*y - 72 = 0. What is y?
-2, -1, 3
Factor 405*f**2 - 24695*f - 610.
5*(f - 61)*(81*f + 2)
Suppose -2*f**4/7 - 16*f**3/7 - 26*f**2/7 - 12*f/7 = 0. Calculate f.
-6, -1, 0
Determine i, given that -i**4/8 + 25*i**3/8 + 27*i**2/8 - 25*i/8 - 13/4 = 0.
-1, 1, 26
Solve 2*f**2/3 - 4*f - 480 = 0 for f.
-24, 30
Suppose -o**4/3 + 296*o**3/3 - 7300*o**2 - 1184*o/3 + 87616/3 = 0. Calculate o.
-2, 2, 148
Factor -4*f**3 + 32*f**2 + 76*f + 40.
-4*(f - 10)*(f + 1)**2
Determine k so that k**3 + 7*k**2/3 - 7*k/3 - 1 = 0.
-3, -1/3, 1
Factor 2*n**2/3 - 26*n/3 + 44/3.
2*(n - 11)*(n - 2)/3
Factor 4*s**2 - 2916*s - 2920.
4*(s - 730)*(s + 1)
Let 2*o**2/7 - 4*o/7 - 48/7 = 0. Calculate o.
-4, 6
Factor 5*k**4 + 15*k**3 - 25*k**2 - 15*k + 20.
5*(k - 1)**2*(k + 1)*(k + 4)
Factor 2*j**3/7 - 8556*j**2/7 + 12200856*j/7 - 5799473552/7.
2*(j - 1426)**3/7
Factor 2*w**3/13 + 6*w**2/13 - 92*w/13 + 144/13.
2*(w - 4)*(w - 2)*(w + 9)/13
Solve -5*l**5 + 27*l**4 + 53*l**3 + 21*l**2 = 0.
-1, -3/5, 0, 7
Determine t so that t**5/4 + 25*t**4/2 + 12*t**3 - 25*t**2/2 - 49*t/4 = 0.
-49, -1, 0, 1
Find w such that -2*w**4/3 + 4*w**3/3 + 6*w**2 - 4*w/3 - 16/3 = 0.
-2, -1, 1, 4
Let -t**3/2 - 8*t**2 - 29*t/2 - 7 = 0. What is t?
-14, -1
Let s**4/4 + 255*s**3 + 195075*s**2/2 + 16581375*s + 4228250625/4 = 0. Calculate s.
-255
Factor -w**4/4 - 9*w**3/2 - 33*w**2/4 - 4*w.
-w*(w + 1)**2*(w + 16)/4
Suppose 5*g**2 + 760*g - 765 = 0. What is g?
-153, 1
Factor 2*w**2/19 + 26*w/19 - 96/19.
2*(w - 3)*(w + 16)/19
Factor -2*r**5 + 2*r**4 + 18*r**3 + 22*r**2 + 8*r.
-2*r*(r - 4)*(r + 1)**3
Let j**5/8 - 4*j**4 + 79*j**3/2 - 84*j**2 - 360*j = 0. Calculate j.
-2, 0, 10, 12
Suppose -c**2 - 89*c + 90 = 0. Calculate c.
-90, 1
Factor 2*y**5 - 312*y**4 + 15116*y**3 - 229944*y**2 + 1086338*y.
2*y*(y