 1/14
Find c, given that 3*c**5/2 - 15*c**4/2 - 51*c**3 + 120*c**2 = 0.
-5, 0, 2, 8
Factor -3*x**2 - 27*x - 42.
-3*(x + 2)*(x + 7)
Let 2*l**5/3 - 14*l**4/3 + 4*l**3 = 0. What is l?
0, 1, 6
Factor -8*y**3 - 280*y**2 - 274*y - 68.
-2*(y + 34)*(2*y + 1)**2
Let l**3/4 - 21*l**2/2 + 441*l/4 = 0. What is l?
0, 21
Suppose -5*z**5 - 5*z**4 + 65*z**3 + 125*z**2 + 60*z = 0. Calculate z.
-3, -1, 0, 4
Let -2*i**5 + 2*i**4 + 8*i**3 - 8*i**2 = 0. Calculate i.
-2, 0, 1, 2
Factor 2*w**4 + 66*w**3 - 70*w**2 - 66*w + 68.
2*(w - 1)**2*(w + 1)*(w + 34)
Find m, given that -2*m**5 + 28*m**4 - 144*m**3 + 320*m**2 - 256*m = 0.
0, 2, 4
Solve 21*t**3 - 72*t**2 + 69*t - 18 = 0 for t.
3/7, 1, 2
Find w, given that 3*w**2/7 + 39*w/7 - 90/7 = 0.
-15, 2
Factor -4*x**5 - 8*x**4 + 48*x**3 - 56*x**2 + 20*x.
-4*x*(x - 1)**3*(x + 5)
Factor -3*s**3/4 - 33*s**2/4 + 27*s/2 + 54.
-3*(s - 3)*(s + 2)*(s + 12)/4
Find h such that -h**3/4 + 29*h**2/4 + 8*h - 15 = 0.
-2, 1, 30
Find g, given that -2*g**4 - 10*g**3 + 26*g**2 - 14*g = 0.
-7, 0, 1
What is l in 5*l**4 - 10*l**3 - 45*l**2 + 10*l + 40 = 0?
-2, -1, 1, 4
Find b such that -b**5 + 7*b**4 - 3*b**3 - 55*b**2 + 112*b - 60 = 0.
-3, 1, 2, 5
Find k, given that 3*k**2/4 - 130*k - 87 = 0.
-2/3, 174
Factor u**2/4 + 91*u/4 - 120.
(u - 5)*(u + 96)/4
Factor 2*p**4/13 - 152*p**3/13 + 2888*p**2/13.
2*p**2*(p - 38)**2/13
Factor -2*d**2/7 - 176*d/7.
-2*d*(d + 88)/7
Factor -2*k**3 + 18*k**2 + 24*k - 40.
-2*(k - 10)*(k - 1)*(k + 2)
Determine r, given that 2*r**4/15 - 4*r**3/3 + 14*r**2/3 - 20*r/3 + 16/5 = 0.
1, 2, 3, 4
Suppose -2*r**3/5 + 26*r**2/5 + 26*r + 102/5 = 0. What is r?
-3, -1, 17
Determine g so that -7*g**3/4 - 15*g**2/2 - 29*g/4 - 3/2 = 0.
-3, -1, -2/7
Find r, given that 2*r**5 - 10*r**4 - 2*r**3 + 34*r**2 + 24*r = 0.
-1, 0, 3, 4
Factor u**2 - 250*u + 15625.
(u - 125)**2
Factor b**3 - 11*b**2 - 16*b + 320.
(b - 8)**2*(b + 5)
Factor -3*r**2/4 + 9*r/2.
-3*r*(r - 6)/4
Factor 5*r**4 - 145*r**3 - 5*r**2 + 145*r.
5*r*(r - 29)*(r - 1)*(r + 1)
Suppose -5*y**2 + 100*y - 480 = 0. What is y?
8, 12
Factor s**4/6 + 13*s**3/6 + 11*s**2/6 - 13*s/6 - 2.
(s - 1)*(s + 1)**2*(s + 12)/6
Suppose 15*d**5 - 595*d**4 + 2020*d**3 - 1420*d**2 - 720*d = 0. Calculate d.
-1/3, 0, 2, 36
Factor 2*m**2/7 + 134*m/7 - 276/7.
2*(m - 2)*(m + 69)/7
Find x such that 2*x**4/11 - 40*x**3/11 + 150*x**2/11 + 280*x/11 - 392/11 = 0.
-2, 1, 7, 14
Factor q**4/7 - q**3 - q**2/7 + q.
q*(q - 7)*(q - 1)*(q + 1)/7
Factor -9*o**3 + 2019*o**2 + 1349*o + 225.
-(o - 225)*(3*o + 1)**2
Factor 3*a**5 - 57*a**4 - 123*a**3 - 63*a**2.
3*a**2*(a - 21)*(a + 1)**2
Factor -4*f**2 + 8*f + 60.
-4*(f - 5)*(f + 3)
Determine i, given that 3*i**5/8 + 15*i**4/4 + 51*i**3/8 + 3*i**2 = 0.
-8, -1, 0
Factor -j**3 + 97*j**2 + 718*j + 1040.
-(j - 104)*(j + 2)*(j + 5)
Factor -d**4/7 + 6*d**3/7 - 12*d**2/7 + 10*d/7 - 3/7.
-(d - 3)*(d - 1)**3/7
Factor t**5/7 - 9*t**4/7 - 64*t**3/7 - 88*t**2/7 + 48*t/7 + 16.
(t - 14)*(t - 1)*(t + 2)**3/7
What is g in -4*g**5/13 - 162*g**4/13 - 808*g**3/13 - 1356*g**2/13 - 916*g/13 - 210/13 = 0?
-35, -3, -1, -1/2
Find a, given that -5*a**5/4 - 15*a**4 + 200*a**3 + 3695*a**2/2 - 26715*a/4 + 9295/2 = 0.
-13, 1, 2, 11
Factor -2*i**3/9 - 26*i**2/3 + 18*i - 82/9.
-2*(i - 1)**2*(i + 41)/9
Factor -3*k**3/5 - 24*k**2/5 + 33*k/5 + 54/5.
-3*(k - 2)*(k + 1)*(k + 9)/5
Factor g**3/3 + 41*g**2 - 508*g/3.
g*(g - 4)*(g + 127)/3
Suppose -3*a**3 - 72*a**2 - 252*a - 240 = 0. Calculate a.
-20, -2
Factor 6*k**4 + 184*k**3 + 3848*k**2/3 - 5888*k/3 + 2048/3.
2*(k + 16)**2*(3*k - 2)**2/3
Solve -49*h**5/2 + 371*h**4/2 - 739*h**3/2 + 581*h**2/2 - 92*h + 10 = 0.
2/7, 1, 5
Factor 10*h**3/11 - 4*h**2 - 104*h/11 + 48/11.
2*(h - 6)*(h + 2)*(5*h - 2)/11
Factor -c**3/4 - 69*c**2/2 - 135*c/4 + 137/2.
-(c - 1)*(c + 2)*(c + 137)/4
Suppose -2*s**3 + 76*s**2 + 336*s = 0. What is s?
-4, 0, 42
Factor u**3/3 - 21*u**2 - u/3 + 21.
(u - 63)*(u - 1)*(u + 1)/3
Let 2*f**5/7 - 2*f**4 - 6*f**3/7 + 110*f**2/7 + 100*f/7 = 0. What is f?
-2, -1, 0, 5
Let 2*d**2/9 - 10*d/3 = 0. What is d?
0, 15
Factor 2*x**4 + 16*x**3 + 10*x**2 - 100*x.
2*x*(x - 2)*(x + 5)**2
Find a such that a**2/3 + a - 40/3 = 0.
-8, 5
Factor 2*v**5 - 16*v**4 + 24*v**3 + 4*v**2 - 26*v + 12.
2*(v - 6)*(v - 1)**3*(v + 1)
Suppose 3*v**2/8 - 3*v/8 = 0. What is v?
0, 1
Suppose 2*i**5 + 156*i**4 + 2878*i**3 - 6556*i**2 - 2880*i + 6400 = 0. Calculate i.
-40, -1, 1, 2
Factor r**4/5 - 19*r**3/5 + 134*r**2/5 - 416*r/5 + 96.
(r - 6)*(r - 5)*(r - 4)**2/5
Factor 3*y**2 - 96*y + 261.
3*(y - 29)*(y - 3)
Suppose -2*w**2 - 13714*w + 13716 = 0. Calculate w.
-6858, 1
What is i in -2*i**5/11 + 2*i**4/11 + 14*i**3/11 - 2*i**2/11 - 12*i/11 = 0?
-2, -1, 0, 1, 3
Factor -k**4/2 + 3*k**3/2 + 11*k**2 - 12*k.
-k*(k - 6)*(k - 1)*(k + 4)/2
Factor -20*x**2 - 828*x - 328.
-4*(x + 41)*(5*x + 2)
Solve -4*o**5/7 + 68*o**4/7 - 368*o**3/7 + 688*o**2/7 - 384*o/7 = 0 for o.
0, 1, 2, 6, 8
Determine a so that 6*a**5/11 - 4014*a**4/11 + 726*a**3 + 12030*a**2/11 - 15984*a/11 - 16008/11 = 0.
-1, 2, 667
Solve 45*v**2 + 620*v = 0 for v.
-124/9, 0
Find c, given that -4*c**2 + 1100*c + 1104 = 0.
-1, 276
Factor o**5/3 - o**4/3 - o**3 + o**2/3 + 2*o/3.
o*(o - 2)*(o - 1)*(o + 1)**2/3
Solve -4*f**5 - 244*f**4 - 5032*f**3 - 36320*f**2 - 22400*f + 64000 = 0.
-20, -2, 1
Find d such that 10*d**3/13 - 2984*d**2/13 - 4808*d/13 + 2400/13 = 0.
-2, 2/5, 300
Factor 4*o**4 + 1208*o**3 + 91200*o**2 - 1208*o - 91204.
4*(o - 1)*(o + 1)*(o + 151)**2
Determine o, given that -5*o**3 - 115*o**2 - 715*o - 605 = 0.
-11, -1
Let -7*k**2 - 61*k + 18 = 0. What is k?
-9, 2/7
Find m such that -4*m**4 - 44*m**3 - 16*m**2 + 240*m = 0.
-10, -3, 0, 2
Factor 5*o**3 - 30*o**2 + 160.
5*(o - 4)**2*(o + 2)
Factor 3*j**2 - 165*j - 522.
3*(j - 58)*(j + 3)
Factor k**2/6 - 5*k/6 - 1.
(k - 6)*(k + 1)/6
Suppose -5*g**5 + 160*g**4 - 845*g**3 - 8490*g**2 + 18900*g - 9720 = 0. Calculate g.
-6, 1, 18
Suppose z**4/3 + 12*z**3 + 286*z**2/3 - 228*z + 361/3 = 0. What is z?
-19, 1
Suppose x**4/4 - 73*x**3/4 + 1135*x**2/4 + 7293*x/4 + 1521 = 0. What is x?
-4, -1, 39
Let q**3/4 + 23*q**2/2 + 395*q/4 + 175/2 = 0. What is q?
-35, -10, -1
Factor 4*f**3 - 66*f**2 + 188*f - 78.
2*(f - 13)*(f - 3)*(2*f - 1)
Factor y**2 - 70*y + 696.
(y - 58)*(y - 12)
Let 15*c**5 - 336*c**4 + 1887*c**3 + 618*c**2 - 7788*c + 2904 = 0. What is c?
-2, 2/5, 2, 11
Factor -3*v**3 + 54*v**2 - 141*v + 90.
-3*(v - 15)*(v - 2)*(v - 1)
Determine b, given that 5*b**2 + 2795*b - 11260 = 0.
-563, 4
Determine i, given that 24*i**5 + 52*i**4 - 20*i**3 - 60*i**2 - 4*i + 8 = 0.
-2, -1, -1/2, 1/3, 1
Suppose 5*p**3/4 - 145*p**2/4 - 5*p/4 + 145/4 = 0. Calculate p.
-1, 1, 29
Suppose -f**4 + f**3 + 3*f**2/4 - f/2 - 1/4 = 0. Calculate f.
-1/2, 1
Factor 9*w**3 - 57*w**2 + 48*w + 60.
3*(w - 5)*(w - 2)*(3*w + 2)
Factor -5*t**2 - 370*t + 6675.
-5*(t - 15)*(t + 89)
Let -3*f**5 + 156*f**4 - 1665*f**3 - 10248*f**2 + 11760*f = 0. Calculate f.
-5, 0, 1, 28
Solve -t**2/6 + t/6 + 2 = 0 for t.
-3, 4
Factor -6*a**3/5 + 108*a**2/5 + 504*a/5 + 528/5.
-6*(a - 22)*(a + 2)**2/5
Factor 961*w**2/5 + 5952*w + 46080.
(31*w + 480)**2/5
Factor -15*u**2/4 + 7375*u/4 - 2455/2.
-5*(u - 491)*(3*u - 2)/4
What is l in -3*l**3 + 33*l**2 + 438*l - 3168 = 0?
-11, 6, 16
Factor 4*p**5 - 116*p**4 + 792*p**3.
4*p**3*(p - 18)*(p - 11)
Determine i so that -2*i**4 - 38*i**3 - 154*i**2 - 202*i - 84 = 0.
-14, -3, -1
Suppose 6*i**3 - 836*i**2/7 - 954*i/7 - 36 = 0. Calculate i.
-2/3, -3/7, 21
Suppose s**2 + 791*s + 790 = 0. Calculate s.
-790, -1
Suppose -o**3 + 42*o**2 + 133*o + 90 = 0. Calculate o.
-2, -1, 45
Suppose -f**3/6 - f**2/2 + f/6 + 1/2 = 0. Calculate f.
-3, -1, 1
What is l in 7*l**3/9 + 11*l**2/3 - 52*l/9 + 4/3 = 0?
-6, 2/7, 1
Factor -4*m**5/7 - 60*m**4/7 - 324*m**3/7 - 108*m**2 - 648*m/7.
-4*m*(m + 3)**3*(m + 6)/7
Factor 25*s**3/8 - 1885*s**2/8 + 751*s/8 - 75/8.
(s - 75)*(5*s - 1)**2/8
Let -16*b**3 + 88*b**2 - 41*b + 5 = 0. What is b?
1/4, 5
Factor -5*w**2 + 20.
-5*(w - 2)*(w + 2)
What is s in -24*s**3 + 195*s**2 - 492*s + 396 = 0?
2, 33/8
Solve a**2/11 + 51*a/11 - 106/11 = 0.
-53, 2
Factor -5*c**4 - 10*c**3 + 120*c**2.
-5*c**2*(c - 4)*(c + 6)
Factor -10*r**2/9 - 4016*r/9 + 536/3.
-2*(r + 402)*(5*r - 2)/9
Solve -z**3/10 - 9*z**2/10 + z = 0.
-10, 0, 1
Factor 78*g**2 + 3585*g - 138.
3*(g + 46)*(26*g - 1)
Factor 6*n**3 + 52*n**2 + 142*n + 120.
2*(n +