3 - 34*h**2/13 + 192*h/13 - 360/13 = 0?
5, 6
Determine r, given that 4*r**2 - 4*r - 24 = 0.
-2, 3
Let -3*l**5/5 - 6*l**4/5 + 33*l**3/5 + 36*l**2/5 - 108*l/5 = 0. What is l?
-3, 0, 2
Factor 4*o**3 + 1632*o**2 + 166464*o.
4*o*(o + 204)**2
Let 144*n**3 + 23016*n**2 - 3839*n + 160 = 0. What is n?
-160, 1/12
Solve m**3 + 18*m**2 + 71*m - 90 = 0 for m.
-10, -9, 1
Factor 4*n**3/5 + 168*n**2/5 - 348*n/5 + 176/5.
4*(n - 1)**2*(n + 44)/5
Find m, given that -2*m**3/11 - 64*m**2/11 - 214*m/11 + 280/11 = 0.
-28, -5, 1
Factor -4*d**4 + 300*d**3 + 612*d**2 + 308*d.
-4*d*(d - 77)*(d + 1)**2
What is q in 3*q**5/4 + 307*q**4/4 - 843*q**3/4 - 303*q**2/4 + 316*q + 105 = 0?
-105, -1, -1/3, 2
Factor f**4 - 29*f**3 + 55*f**2 - 27*f.
f*(f - 27)*(f - 1)**2
Solve -6*x**4 - 21*x**3/2 + 45*x**2 - 69*x/2 + 6 = 0.
-4, 1/4, 1
Find c such that -2*c**2/5 + 4*c/5 + 126/5 = 0.
-7, 9
Factor -3*b**4/4 + 66*b**3 - 2178*b**2 + 31944*b - 175692.
-3*(b - 22)**4/4
Determine i so that 2*i**2/3 - 206*i/3 - 208/3 = 0.
-1, 104
Find q, given that -2*q**2/7 - 6*q = 0.
-21, 0
Determine a, given that -2*a**5/7 - 12*a**4/7 + 8*a**3/7 + 68*a**2/7 - 102*a/7 + 40/7 = 0.
-5, -4, 1
What is v in 63*v**4/5 - 39*v**3 + 18*v**2/5 = 0?
0, 2/21, 3
Factor 3*a**3/7 + 180*a**2/7 - 372*a/7.
3*a*(a - 2)*(a + 62)/7
What is a in -4*a**2/7 + 68*a/7 - 64/7 = 0?
1, 16
Factor -o**2/9 + 2*o/9 + 40/3.
-(o - 12)*(o + 10)/9
Factor v**4 + 25*v**3 + 66*v**2 - 4*v - 88.
(v - 1)*(v + 2)**2*(v + 22)
Factor 4*c**3 - 140*c**2 - 4*c + 140.
4*(c - 35)*(c - 1)*(c + 1)
Solve 3*z**3 - 3900*z**2 + 1267500*z = 0.
0, 650
Factor -2*d**4/11 - 14*d**3/11 + 34*d**2/11 - 18*d/11.
-2*d*(d - 1)**2*(d + 9)/11
Solve -w**3/4 + 21*w**2/4 - 18*w + 17 = 0 for w.
2, 17
Factor -15*j**3 - 145*j**2 - 385*j - 255.
-5*(j + 1)*(j + 3)*(3*j + 17)
Let -4*w**3 + 40*w**2 + 44*w = 0. Calculate w.
-1, 0, 11
Suppose 18*n**5/7 + 184*n**4/7 + 166*n**3/7 - 296*n**2/7 - 72*n/7 = 0. What is n?
-9, -2, -2/9, 0, 1
Find h such that 4*h**5 + 18*h**4 - 20*h**3 - 48*h**2 + 16*h + 30 = 0.
-5, -1, 1, 3/2
Determine m, given that -4*m**4 + 48*m**3 + 108*m**2 + 56*m = 0.
-1, 0, 14
Factor -3*x**2 + 119*x - 78.
-(x - 39)*(3*x - 2)
Let 3290*h**2/11 - 718*h/11 + 12/11 = 0. What is h?
6/329, 1/5
Find v such that -4*v**5 + 96*v**4 - 616*v**3 + 432*v**2 + 620*v - 528 = 0.
-1, 1, 11, 12
Suppose 3*o**5 + 9*o**4 + 6*o**3 = 0. What is o?
-2, -1, 0
Factor x**5/7 - 34*x**4/7 + 64*x**3/7 + 2*x**2/7 - 65*x/7 + 32/7.
(x - 32)*(x - 1)**3*(x + 1)/7
Factor 6*x**2 + 4*x/13 - 10/13.
2*(3*x - 1)*(13*x + 5)/13
Let 2*l**5/3 - 4*l**4 + 8*l**3 - 16*l**2/3 = 0. Calculate l.
0, 2
Factor -4*z**2/3 + 952*z/3 - 56644/3.
-4*(z - 119)**2/3
Factor -16*a**2 + 2948*a - 736.
-4*(a - 184)*(4*a - 1)
Factor -d**4/7 - 3*d**3/7 + 59*d**2/7 - 15*d + 50/7.
-(d - 5)*(d - 1)**2*(d + 10)/7
Factor 12*x**3/7 - 10*x**2/7 - 146*x/7 - 24/7.
2*(x - 4)*(x + 3)*(6*x + 1)/7
Let 5*g**5 - 25*g**4 + 35*g**3 - 15*g**2 = 0. Calculate g.
0, 1, 3
Suppose -125*p**4 + 600*p**3 + 230*p**2 - 480*p - 225 = 0. What is p?
-3/5, 1, 5
Suppose 2*b**5/13 + 14*b**4/13 + 34*b**3/13 + 34*b**2/13 + 12*b/13 = 0. What is b?
-3, -2, -1, 0
Factor 14*i**2/3 + 858*i + 732.
2*(i + 183)*(7*i + 6)/3
Factor -5*a**4 - 50*a**3 - 65*a**2 + 300*a - 180.
-5*(a - 1)**2*(a + 6)**2
Factor -3*q**3/5 - 24*q**2/5 - 9*q.
-3*q*(q + 3)*(q + 5)/5
Let -4*r**3 - 332*r**2 - 7052*r - 6724 = 0. What is r?
-41, -1
Factor d**5/2 + 5*d**4 + 18*d**3 + 27*d**2 + 27*d/2.
d*(d + 1)*(d + 3)**3/2
Factor 5*p**3 - 1230*p**2 - 2475*p - 1240.
5*(p - 248)*(p + 1)**2
Solve 3*h**3/7 + 36*h**2/7 - 507*h/7 - 540/7 = 0.
-20, -1, 9
Suppose 4*m**3 - 220*m**2 - 1444*m - 1220 = 0. Calculate m.
-5, -1, 61
Let -x**2/3 + 19*x/3 = 0. What is x?
0, 19
Factor -5547*g**4 - 18060*g**3 - 6444*g**2 + 13440*g - 3072.
-3*(g + 2)**2*(43*g - 16)**2
Factor -3*a**4 + 2*a**3 + 3*a**2 - 2*a.
-a*(a - 1)*(a + 1)*(3*a - 2)
Find h such that -5*h**2 + 65*h - 200 = 0.
5, 8
Factor -2*j**2/3 + 8*j - 70/3.
-2*(j - 7)*(j - 5)/3
Let w**2/4 + 11*w - 48 = 0. What is w?
-48, 4
Solve -4*u**5/3 + 4*u**4/3 + 40*u**3/3 - 40*u**2/3 - 12*u + 12 = 0 for u.
-3, -1, 1, 3
Determine u so that 2*u**3/3 - 2426*u**2/3 + 4846*u/3 - 2422/3 = 0.
1, 1211
Factor 5*c**3 + 12*c**2 + c - 6.
(c + 1)*(c + 2)*(5*c - 3)
Find m such that 5*m**5 - 75*m**4 - 395*m**3 + 195*m**2 + 1710*m = 0.
-3, 0, 2, 19
Determine z, given that -2*z**2 + 4232 = 0.
-46, 46
Factor -r**5 - 9*r**4 - 11*r**3 + 25*r**2 + 24*r - 28.
-(r - 1)**2*(r + 2)**2*(r + 7)
Factor -3*x**3/8 - 249*x**2/8 - 1287*x/2.
-3*x*(x + 39)*(x + 44)/8
Suppose -2*w**2/9 - 308*w/9 - 400/3 = 0. Calculate w.
-150, -4
Find r, given that -230*r**2 + 465*r - 10 = 0.
1/46, 2
Solve -2*s**3/7 + 5538*s**2/7 - 5111574*s/7 + 1572660934/7 = 0.
923
Determine n so that -5*n**4 - 15*n**3 + 5*n**2 + 15*n = 0.
-3, -1, 0, 1
Solve 16*c**3 + 348*c**2 + 248*c - 84 = 0.
-21, -1, 1/4
Determine u so that -2*u**5 + 12*u**4 + 14*u**3 = 0.
-1, 0, 7
Factor -d**2 + 53*d.
-d*(d - 53)
Suppose 5*r**5/2 - 100*r**4 + 1465*r**3 - 9020*r**2 + 32065*r/2 + 26620 = 0. What is r?
-1, 8, 11
Solve -2*f**2/11 - 400*f/11 - 20000/11 = 0.
-100
Factor 9*p**3 - 3720*p**2 - 13743*p - 7506.
3*(p - 417)*(p + 3)*(3*p + 2)
Factor -p**2/4 + 97*p.
-p*(p - 388)/4
Factor 3*v**3 - 18*v**2 - 27*v + 162.
3*(v - 6)*(v - 3)*(v + 3)
Determine h, given that -2*h**2 - 1984*h - 492032 = 0.
-496
Let g**5 + g**4 - 153*g**3 + 419*g**2 + 152*g - 420 = 0. What is g?
-14, -1, 1, 3, 10
Solve -3*a**5/4 - 1389*a**4/4 - 2763*a**3/2 - 4137*a**2/2 - 5511*a/4 - 1377/4 = 0 for a.
-459, -1
Find r, given that -r**5/10 + 73*r**4/10 + r**3/10 - 73*r**2/10 = 0.
-1, 0, 1, 73
Let -b**5/5 + 9*b**4/5 - 13*b**3/5 - 33*b**2/5 + 14*b/5 + 24/5 = 0. Calculate b.
-1, 1, 4, 6
Suppose 2*q**3/5 + 2*q**2 - 72*q/5 = 0. What is q?
-9, 0, 4
Factor 5*s**4 - 505*s**3 - 1050*s**2 + 2020*s + 4120.
5*(s - 103)*(s - 2)*(s + 2)**2
Let 2*k**5/21 + 20*k**4/21 + 52*k**3/21 + 16*k**2/21 - 18*k/7 - 12/7 = 0. What is k?
-6, -3, -1, 1
Factor -5*g**2 - 4200*g - 882000.
-5*(g + 420)**2
Determine d so that -300*d**5 + 240*d**4 + 717*d**3 - 591*d**2 - 429*d + 363 = 0.
-11/10, 1
Factor -5*c**3 - 40*c**2 + 45*c.
-5*c*(c - 1)*(c + 9)
Suppose 5*u**3/4 + 235*u**2/4 - 635*u/2 + 390 = 0. What is u?
-52, 2, 3
Find k, given that 4*k**4 + 332*k**3 + 1592*k**2 + 2512*k + 1248 = 0.
-78, -2, -1
Factor -i**3/4 + i**2 - 5*i/4 + 1/2.
-(i - 2)*(i - 1)**2/4
Find l such that 8*l**5 - 74*l**4 + 66*l**3 + 116*l**2 - 32*l = 0.
-1, 0, 1/4, 2, 8
Suppose -4*w**4/9 - 7*w**3/3 + 22*w**2/9 + 7*w/3 - 2 = 0. What is w?
-6, -1, 3/4, 1
Let t**5/8 - 49*t**4/8 + 261*t**3/4 + 481*t**2/2 + 169*t = 0. What is t?
-2, -1, 0, 26
Find i such that -2*i**3 + 2*i**2 + 8*i - 8 = 0.
-2, 1, 2
Let -2*y**4/3 - 200*y**3/21 - 8*y**2/3 = 0. Calculate y.
-14, -2/7, 0
Suppose -y**3/5 + 67*y**2/5 - 1088*y/5 - 1156/5 = 0. Calculate y.
-1, 34
Find p, given that -152*p**3 + 184*p**2 - 70*p + 8 = 0.
4/19, 1/2
Factor 5*l**5 - 105*l**4 - 750*l**3 - 1580*l**2 - 1080*l.
5*l*(l - 27)*(l + 2)**3
Factor 84*m**2 - 76*m - 8.
4*(m - 1)*(21*m + 2)
Factor b**2/4 + 164*b + 327.
(b + 2)*(b + 654)/4
Determine i so that -4*i**2 - 2488*i - 386884 = 0.
-311
Factor -2*o**3/11 - 76*o**2/11 - 74*o/11.
-2*o*(o + 1)*(o + 37)/11
Factor -3*w**3 + 33*w**2 + 3*w - 33.
-3*(w - 11)*(w - 1)*(w + 1)
Find l, given that 10*l**5 + 15*l**4 - 40*l**3 + 15*l**2 = 0.
-3, 0, 1/2, 1
Factor 4*r**4 + 44*r**3 + 172*r**2 + 276*r + 144.
4*(r + 1)*(r + 3)**2*(r + 4)
Solve 4*w**2 + 11620*w - 11624 = 0 for w.
-2906, 1
Factor -8*b**3 + 82*b**2 - 202*b + 140.
-2*(b - 7)*(b - 2)*(4*b - 5)
Factor c**2/6 - 39*c/2 + 115/3.
(c - 115)*(c - 2)/6
Suppose -2*r**5/9 + 362*r**4/9 - 16916*r**3/9 + 48596*r**2/9 - 47882*r/9 + 15842/9 = 0. Calculate r.
1, 89
Solve -21632*u**2/5 + 416*u/5 - 2/5 = 0.
1/104
Factor 4*u**4 - 72*u**3 + 388*u**2 - 576*u + 256.
4*(u - 8)**2*(u - 1)**2
Factor -4*q**2 + 19408*q + 19412.
-4*(q - 4853)*(q + 1)
Factor 3*n**2 + 177*n + 174.
3*(n + 1)*(n + 58)
Factor -15*q**4/2 + 21*q**3/4 - 3*q**2/4.
-3*q**2*(2*q - 1)*(5*q - 1)/4
Factor 2*g**2 + 1350*g - 1352.
2*(g - 1)*(g + 676)
Factor 4*f**4/7 - 5804*f**3/7 + 400752*f**2 - 450708544*f/7 - 453519616/7.
4*(f - 484)**3*(f + 1)/7
Suppose -2*a**2/7 + 674*a/7 + 676/7 = 0. Calculate a.
-1, 338
Suppose -17*k**3 - 19*k**2 + 100*k + 12 = 0. Calculate k.
-3, -2/17, 2
Factor -s**3/2 - 3