 + 6*s = 0.
-24, 0
Suppose 75*m**3 + 2760*m**2 - 3393*m + 1026 = 0. Calculate m.
-38, 3/5
Factor 4*v**2 - 1258*v - 630.
2*(v - 315)*(2*v + 1)
Factor -5*w**2 + 2420*w + 2425.
-5*(w - 485)*(w + 1)
Factor -3*b**3 - 57*b**2.
-3*b**2*(b + 19)
Determine x so that 4*x**3 + 328*x**2 - 1740*x = 0.
-87, 0, 5
Factor 2*h**2/17 + 32*h/17 - 2.
2*(h - 1)*(h + 17)/17
Factor -98*w**5/3 - 1820*w**4/3 - 11600*w**3/3 - 9120*w**2 - 4320*w - 576.
-2*(w + 6)**3*(7*w + 2)**2/3
Factor 4*r**2 + 12*r - 112.
4*(r - 4)*(r + 7)
Solve o**2 + 11*o + 10 = 0.
-10, -1
Factor -49*b**2/11 + 602*b/11 - 1849/11.
-(7*b - 43)**2/11
What is a in 3*a**3 + 21*a**2 - 12*a - 84 = 0?
-7, -2, 2
Factor l**4/7 + 6*l**3/7 + 12*l**2/7 + 8*l/7.
l*(l + 2)**3/7
Factor -4*s**2 - 7888*s - 3888784.
-4*(s + 986)**2
Factor 12*z**3 - 41056*z**2 + 35102876*z + 23420168.
4*(z - 1711)**2*(3*z + 2)
Suppose 7*s**4/5 - s**3 - 86*s**2/5 - 24*s/5 = 0. What is s?
-3, -2/7, 0, 4
Solve 3*v**5/4 + 33*v**4/4 + 81*v**3/4 + 75*v**2/4 + 6*v = 0 for v.
-8, -1, 0
Suppose 5*k**3 - 215*k**2 + 415*k - 205 = 0. What is k?
1, 41
Find f such that -5*f**3 + 100*f**2 - 485*f + 390 = 0.
1, 6, 13
Determine g, given that -2*g**5/3 + 21*g**4 - 298*g**3/3 + 101*g**2 + 78*g = 0.
-1/2, 0, 3, 26
Suppose 5*s**4/4 + 233*s**3/4 - 47*s**2/2 = 0. Calculate s.
-47, 0, 2/5
Factor -2*p**2 + 288*p - 10368.
-2*(p - 72)**2
Solve -2*c**3 - 256*c**2 - 504*c = 0 for c.
-126, -2, 0
Factor 11*t**3/5 + 32*t**2/5 - 97*t/5 + 54/5.
(t - 1)**2*(11*t + 54)/5
Factor -165*f**3 - 10*f**2.
-5*f**2*(33*f + 2)
Suppose q**4 - 35*q**3 + 87*q**2 + 283*q + 160 = 0. What is q?
-1, 5, 32
Solve -14*t**2/9 + 220*t/9 + 34 = 0 for t.
-9/7, 17
Solve -2*w**2/7 + 2*w/7 + 12/7 = 0.
-2, 3
Determine u so that -u**3/2 - 159*u**2/2 + 242*u - 162 = 0.
-162, 1, 2
Suppose -2*i**4/5 - 294*i**3 - 2934*i**2/5 - 1466*i/5 = 0. Calculate i.
-733, -1, 0
Find t, given that t**5/9 - 2*t**4/9 - t**3 + 2*t**2/9 + 8*t/9 = 0.
-2, -1, 0, 1, 4
Solve -x**5/8 + 7*x**3/8 + 3*x**2/4 = 0 for x.
-2, -1, 0, 3
Solve 4*w**4 - 56*w**3 + 276*w**2 - 560*w + 400 = 0 for w.
2, 5
Find o, given that 98*o**5/9 + 602*o**4/9 + 328*o**3/3 + 608*o**2/9 + 128*o/9 = 0.
-4, -1, -4/7, 0
Solve y**2/10 + y/10 - 1/5 = 0 for y.
-2, 1
Let 15*t**2/2 + 1010*t + 670 = 0. Calculate t.
-134, -2/3
Solve -2*c**4 + 6*c**3 + 2*c**2 - 6*c = 0.
-1, 0, 1, 3
What is a in -2*a**3 - 44*a**2 - 82*a - 40 = 0?
-20, -1
Factor 2*h**4/5 - 6*h**3/5 - 2*h**2/5 + 6*h/5.
2*h*(h - 3)*(h - 1)*(h + 1)/5
Determine c, given that -4489*c**5/5 - 4221*c**4/5 + 9242*c**3/5 - 108*c**2 + 8*c/5 = 0.
-2, 0, 2/67, 1
Factor -4*t**2/7 + 60*t/7 - 200/7.
-4*(t - 10)*(t - 5)/7
Factor -4*j**2 + 20*j + 24.
-4*(j - 6)*(j + 1)
Find v, given that v**4/4 - 2*v**3 + 9*v**2/2 - 4*v + 5/4 = 0.
1, 5
Factor -t**3 + 71*t**2 + 74*t - 144.
-(t - 72)*(t - 1)*(t + 2)
Let 3*u**2 + 54*u + 231 = 0. What is u?
-11, -7
Factor 3*v**5 + 159*v**4 + 1857*v**3 - 6555*v**2 + 6888*v - 2352.
3*(v - 1)**3*(v + 28)**2
Factor -p**5/6 + 187*p**4/6 - 9019*p**3/6 + 25945*p**2/6 - 12788*p/3 + 4232/3.
-(p - 92)**2*(p - 1)**3/6
Factor 2*n**2 + 1128*n.
2*n*(n + 564)
Solve -3*d**5 + 66*d**4 - 234*d**3 + 336*d**2 - 219*d + 54 = 0.
1, 18
Let -q**3 - 16*q**2 - 45*q + 162 = 0. What is q?
-9, 2
Suppose -484*j**3 + 14212*j**2 - 111072*j + 97344 = 0. Calculate j.
1, 156/11
Solve 2*g**3 + 12*g**2 - 8*g - 48 = 0 for g.
-6, -2, 2
Factor 2*b**2/7 - 6*b/7 + 4/7.
2*(b - 2)*(b - 1)/7
Determine z so that -4*z**4 - 88*z**3 - 628*z**2 - 1584*z - 1296 = 0.
-9, -2
Factor 2*y**5 + 24*y**4 + 76*y**3 + 104*y**2 + 66*y + 16.
2*(y + 1)**4*(y + 8)
Determine t, given that -2*t**4/9 + 10*t**3/3 + 2*t**2/9 - 10*t/3 = 0.
-1, 0, 1, 15
Suppose 2*h**2/5 + 628*h/5 + 49298/5 = 0. Calculate h.
-157
Factor -2*i**4/7 - 134*i**3/7 + 274*i**2/7 - 138*i/7.
-2*i*(i - 1)**2*(i + 69)/7
Solve 3*p**5 + 3*p**4 - 6*p**3 = 0.
-2, 0, 1
Factor 3*i**2/4 - 45*i/2 + 42.
3*(i - 28)*(i - 2)/4
Find z such that -9*z**5/5 + 39*z**4/5 + 6*z**3 - 36*z**2 + 24*z/5 + 96/5 = 0.
-2, -2/3, 1, 2, 4
Factor -4*g**2/7 + 32864*g/7 - 67502656/7.
-4*(g - 4108)**2/7
Determine r so that -5*r**2 + 675*r + 3500 = 0.
-5, 140
Solve c**5/4 - 79*c**4/4 + 75*c**3/4 + 235*c**2/4 - 19*c - 39 = 0 for c.
-1, 1, 2, 78
Factor -k**2 + k + 2.
-(k - 2)*(k + 1)
Factor c**3/8 - 11*c**2/8 + 13*c/4 - 2.
(c - 8)*(c - 2)*(c - 1)/8
Solve 2*z**2/9 - 26*z/9 + 28/3 = 0 for z.
6, 7
Determine o, given that -o**3/5 - 121*o**2/5 - 222*o = 0.
-111, -10, 0
Factor r**5 + 7*r**4 + 18*r**3 + 22*r**2 + 13*r + 3.
(r + 1)**4*(r + 3)
Factor -i**4 + 14*i**3 + 588*i**2 - 13720*i + 76832.
-(i - 14)**3*(i + 28)
Determine g, given that 2*g**3 - 212*g**2 - 430*g - 216 = 0.
-1, 108
Factor 8*i**3/17 - 702*i**2/17 - 176*i/17.
2*i*(i - 88)*(4*i + 1)/17
Factor -4*y**3 - 4*y**2 + 68*y - 60.
-4*(y - 3)*(y - 1)*(y + 5)
Factor -2*k**4/9 - 856*k**3/9 - 91592*k**2/9.
-2*k**2*(k + 214)**2/9
Determine g so that 3*g**4/2 + 1731*g**3/2 - 5211*g**2/2 + 5217*g/2 - 870 = 0.
-580, 1
Factor -y**4/5 + 532*y**3/5 + 1602*y**2/5 + 1604*y/5 + 107.
-(y - 535)*(y + 1)**3/5
Find i, given that 2*i**3 + 14*i**2 - 2*i - 14 = 0.
-7, -1, 1
Suppose -2*l**2/7 + 810*l/7 + 2448/7 = 0. What is l?
-3, 408
Let v**5/3 + v**4/3 - 9*v**3 + 23*v**2/3 + 26*v/3 - 8 = 0. Calculate v.
-6, -1, 1, 4
Factor -2*i**3/9 - 110*i**2/3 - 536*i/3 - 1280/9.
-2*(i + 1)*(i + 4)*(i + 160)/9
Factor 3*u**3 - 3422*u**2 - 4572*u + 4568.
(u - 1142)*(u + 2)*(3*u - 2)
Solve -2*t**3 + 124*t**2 - 2146*t + 6728 = 0.
4, 29
Find r, given that -3174*r**3/11 + 5888*r**2/11 - 2424*r/11 + 288/11 = 0.
6/23, 4/3
Let 2*r**4/7 + 20*r**3/7 + 32*r**2/7 = 0. Calculate r.
-8, -2, 0
Factor -4*p**2 - 7056*p + 14128.
-4*(p - 2)*(p + 1766)
Factor -l**3/5 + 27*l**2/5 + 28*l/5.
-l*(l - 28)*(l + 1)/5
Solve -j**3 + 56*j**2 - 212*j + 208 = 0.
2, 52
Factor -5*i**3 + 60*i**2 + 395*i + 510.
-5*(i - 17)*(i + 2)*(i + 3)
Factor -2*g**2/7 - 44*g/7 - 80/7.
-2*(g + 2)*(g + 20)/7
Solve -4*x**5 - 12*x**4 + 100*x**3 + 300*x**2 = 0.
-5, -3, 0, 5
Solve z**4/5 - 548*z**3/5 - 551*z**2/5 + 1098*z/5 = 0.
-2, 0, 1, 549
Solve -3*o**4 + 48*o**3 + 54*o**2 - 48*o - 51 = 0 for o.
-1, 1, 17
Solve m**3/4 - 11*m**2 - 51*m/4 + 135/2 = 0.
-3, 2, 45
Solve 2755*t**2 + 2770*t + 15 = 0.
-1, -3/551
Solve 36*j**5 - 276*j**4 + 460*j**3 + 356*j**2 - 352*j + 64 = 0.
-1, 1/3, 4
Determine n so that -3*n**2 - 75*n - 72 = 0.
-24, -1
Find h such that -2*h**2 + 124*h - 1922 = 0.
31
What is w in -20*w**3 - 35*w**2 + 70*w - 15 = 0?
-3, 1/4, 1
Determine l, given that 16*l**3 + 112*l**2 + 156*l - 108 = 0.
-9/2, -3, 1/2
Suppose 122825*l**3 + 8670*l**2 + 204*l + 8/5 = 0. What is l?
-2/85
Factor 3*b**4 - 258*b**3 - 1920*b**2 - 3054*b - 1395.
3*(b - 93)*(b + 1)**2*(b + 5)
What is g in 11*g**3/4 + 53*g**2/4 + 17*g/2 - 2 = 0?
-4, -1, 2/11
Factor 3*d**4 - 36*d**3 - 81*d**2 - 42*d.
3*d*(d - 14)*(d + 1)**2
Solve -147*r**5 + 13587*r**4 - 416001*r**3 + 4138221*r**2 + 2467848*r + 357492 = 0 for r.
-2/7, 31
Determine g so that -5*g**3 - 25*g**2 + 30*g = 0.
-6, 0, 1
Factor -3*x**5/7 + 150*x**4/7 - 1875*x**3/7 - 7500*x**2/7 + 150000*x/7 + 600000/7.
-3*(x - 20)**3*(x + 5)**2/7
Factor 8*m**3 + 6*m**2 - 54*m.
2*m*(m + 3)*(4*m - 9)
Let a**5 + 9*a**4 - 55*a**3 - 141*a**2 + 954*a - 1080 = 0. Calculate a.
-12, -5, 2, 3
Factor 2*h**3/5 + 106*h**2/5 + 304*h + 1320.
2*(h + 10)**2*(h + 33)/5
Factor 2*u**3/5 + 118*u**2/5 + 1408*u/5 - 2048.
2*(u - 5)*(u + 32)**2/5
Determine p, given that 3*p**4 - 9*p**3 - 99*p**2 - 159*p - 72 = 0.
-3, -1, 8
Find g, given that 2*g**4/19 - 8*g**3/19 + 12*g**2/19 - 8*g/19 + 2/19 = 0.
1
Factor 4*n**4 + 8*n**3 - 16*n**2 - 32*n.
4*n*(n - 2)*(n + 2)**2
Solve 104*p**5 + 2442*p**4/5 + 250*p**3 - 824*p**2/5 - 24*p + 32/5 = 0.
-4, -1, -1/4, 2/13, 2/5
Let -5*h**3 - 2025*h**2 + 6110*h - 4080 = 0. What is h?
-408, 1, 2
Find p, given that p**2/4 - 24*p - 265 = 0.
-10, 106
Factor -18*p**3/7 + 50*p**2/7 + 12*p/7.
-2*p*(p - 3)*(9*p + 2)/7
Factor -2*g**3/3 + 74*g**2/3 - 646*g/3 - 722/3.
-2*(g - 19)**2*(g + 1)/3
Factor -2*y**3 - 64*y**2 - 672*y - 2304.
-2*(y + 8)*(y + 12)**2
Suppose -n**4 - 9*n**3 - 24*n**2 - 20*n = 0. What is n?
-5, -2, 0
Determine l so that 128*l**5 + 96*l**4 - 446*l**3 - 90*l**2 + 324*l = 0.
-2, -1, 0, 9/8
What is p in p**5/6 - 17*p**4/6 + 3*p**3 + 110*p**2/3 - 316*p/3 + 80 = 0?
-4, 2, 15
What is z in 3*z**3/7 - 408*z**2/7 - 3*z/7 + 408/7 = 0?
-1, 1, 136
Le