 + 15*h - 51/7 = 0.
1, 17
Determine a so that a**5/4 + 4*a**4 - a**3/2 - 8*a**2 + a/4 + 4 = 0.
-16, -1, 1
Factor -2*j**3/7 + 76*j**2/7 - 394*j/7 + 320/7.
-2*(j - 32)*(j - 5)*(j - 1)/7
Factor -4*g**2/3 + 520*g/3 + 352.
-4*(g - 132)*(g + 2)/3
Factor -6*j**2 + 40*j - 50.
-2*(j - 5)*(3*j - 5)
Find y, given that -4*y**2/3 + 1348*y/3 + 1352/3 = 0.
-1, 338
Factor f**3/4 + f**2 - 3*f.
f*(f - 2)*(f + 6)/4
Factor -q**2/3 + 628*q/3 - 98596/3.
-(q - 314)**2/3
Factor 2*x**3/15 - 94*x**2/15 - 32*x/5.
2*x*(x - 48)*(x + 1)/15
Solve 2*g**3/9 - 104*g**2/9 + 1352*g/9 = 0.
0, 26
Determine f so that 4*f**3 + 8*f**2 - 44*f - 48 = 0.
-4, -1, 3
Factor -k**3/6 + 13*k**2/3 + 749*k/6 - 129.
-(k - 43)*(k - 1)*(k + 18)/6
Determine q, given that -2*q**3/7 + 4*q**2/7 + 56*q - 112 = 0.
-14, 2, 14
Factor b**2 - 32*b + 156.
(b - 26)*(b - 6)
Let y**3/8 - 333*y**2/8 + 36963*y/8 - 1367631/8 = 0. What is y?
111
Factor -p**3/3 + 119*p**2/3 + 715*p + 675.
-(p - 135)*(p + 1)*(p + 15)/3
Factor n**3/2 - 103*n**2/2 + 203*n/2 - 101/2.
(n - 101)*(n - 1)**2/2
What is w in -7*w**5/3 + 124*w**4/3 + 180*w**3 - 1214*w**2/3 + 347*w/3 + 70 = 0?
-5, -2/7, 1, 21
Find f such that f**3 + 25*f**2/3 + 8*f/3 = 0.
-8, -1/3, 0
Factor 3*a**4/2 - 189*a**3/2 - 720*a**2 - 1050*a.
3*a*(a - 70)*(a + 2)*(a + 5)/2
Suppose 5*w**5 + 30*w**4 - 175*w**3 + 240*w**2 - 100*w = 0. What is w?
-10, 0, 1, 2
Let -6*c**3/5 + 264*c**2/5 - 2406*c/5 - 5916/5 = 0. Calculate c.
-2, 17, 29
Factor 4*h**3 - 340*h**2 + 1932*h - 2844.
4*(h - 79)*(h - 3)**2
Factor 4*x**3 - 19*x**2 + 19*x + 6.
(x - 3)*(x - 2)*(4*x + 1)
Factor 15*q**4 - 85*q**3 + 155*q**2 - 115*q + 30.
5*(q - 3)*(q - 1)**2*(3*q - 2)
Factor 51*o**2 - 261*o + 210.
3*(o - 1)*(17*o - 70)
Suppose -3*i**3 + 27*i = 0. Calculate i.
-3, 0, 3
Determine p, given that -11*p**2 - 39*p - 18 = 0.
-3, -6/11
Let 5*i**2 + 5730*i = 0. Calculate i.
-1146, 0
Factor -2*t**3/9 + 92*t**2/9 + 98*t/9 - 188/9.
-2*(t - 47)*(t - 1)*(t + 2)/9
Factor -3*w**2 - 8016*w - 5354688.
-3*(w + 1336)**2
Suppose 5*w**3 + 615*w**2 - 1265*w - 1875 = 0. Calculate w.
-125, -1, 3
Solve 20*z**5 + 135*z**4 - 515*z**3 - 2840*z**2 - 2460*z + 800 = 0.
-8, -2, 1/4, 5
Suppose 9*o**3 + 111*o**2 - 93*o - 195 = 0. Calculate o.
-13, -1, 5/3
Determine g, given that -52*g**2 + 112*g - 16 = 0.
2/13, 2
Let 3*c**5 - 198*c**3 - 384*c**2 - 189*c = 0. What is c?
-7, -1, 0, 9
Factor 4*r**4/7 - 376*r**3/7 + 9556*r**2/7 - 33840*r/7 + 32400/7.
4*(r - 45)**2*(r - 2)**2/7
Let 3*w**2 + 13*w/2 + 1 = 0. Calculate w.
-2, -1/6
Let 2*v**4 + 34*v**3 + 192*v**2 + 416*v + 256 = 0. Calculate v.
-8, -4, -1
Factor 2*t**3/15 + 14*t**2/15 + 8*t/5.
2*t*(t + 3)*(t + 4)/15
Factor 9*g**2 + 2*g - 11.
(g - 1)*(9*g + 11)
Factor -3*d**3 + 114*d**2 - 408*d.
-3*d*(d - 34)*(d - 4)
Determine g so that 39*g**3 + 414*g**2 + 1215*g + 600 = 0.
-5, -8/13
Let 2*u**2/5 + 2*u/5 - 12/5 = 0. What is u?
-3, 2
Determine o so that -11*o**3 - 1238*o**2 - 35168*o - 18816 = 0.
-56, -6/11
Factor 2*o**3/9 - 8*o**2/9 - 2*o/9 + 8/9.
2*(o - 4)*(o - 1)*(o + 1)/9
What is p in -p**4/5 - 13*p**3/5 + 348*p**2/5 - 1904*p/5 + 3136/5 = 0?
-28, 4, 7
Determine j, given that -j**5 - 41*j**4/2 + 11*j**3 + 21*j**2/2 = 0.
-21, -1/2, 0, 1
Solve 3*w**5 + 27*w**4 - 930*w**3 - 11562*w**2 - 20241*w - 9633 = 0 for w.
-13, -1, 19
What is u in -4*u**4 - 616*u**3 - 12624*u**2 - 75416*u - 63404 = 0?
-131, -11, -1
Factor -3*w**3 - 210*w**2 - 3675*w.
-3*w*(w + 35)**2
Solve -3*m**5 + 6*m**4 + 60*m**3 - 24*m**2 - 384*m - 384 = 0.
-2, 4
Factor 2*c**2/13 + 74*c/13 + 140/13.
2*(c + 2)*(c + 35)/13
Solve x**3 - x**2 - 32*x + 60 = 0 for x.
-6, 2, 5
Solve -2*w**5 + 450*w**4 + 454*w**3 - 450*w**2 - 452*w = 0.
-1, 0, 1, 226
Suppose 2*a**4/7 - 8*a**3/7 + 4*a**2/7 + 8*a/7 - 6/7 = 0. What is a?
-1, 1, 3
Factor -h**2/7 + 339*h/7.
-h*(h - 339)/7
Factor -3*j**2 + 936*j - 73008.
-3*(j - 156)**2
Factor -2*c**2/9 - 44*c/9 + 46/9.
-2*(c - 1)*(c + 23)/9
Let t**2/2 + 43*t - 87/2 = 0. Calculate t.
-87, 1
Factor n**3/7 + 214*n**2 + 557993*n/7 - 2256004/7.
(n - 4)*(n + 751)**2/7
Factor 5*o**3 + 105*o**2 + 520*o + 420.
5*(o + 1)*(o + 6)*(o + 14)
Factor -s**4/2 - 11*s**3 + 29*s**2/2 + 69*s.
-s*(s - 3)*(s + 2)*(s + 23)/2
What is w in 2*w**3 + 202*w**2 + 3718*w + 19118 = 0?
-79, -11
Factor 4*p**2 + 2012*p.
4*p*(p + 503)
Factor -2*q**3/7 - 20*q**2/7 - 26*q/7 + 48/7.
-2*(q - 1)*(q + 3)*(q + 8)/7
Determine k, given that -4*k**2 + 1452*k = 0.
0, 363
Factor -2*u**2/7 - 46*u/7.
-2*u*(u + 23)/7
Find h such that -2*h**2 + 24352*h - 74127488 = 0.
6088
Factor 14*s**3/9 - 388*s**2/9 - 952*s/9 - 80/3.
2*(s - 30)*(s + 2)*(7*s + 2)/9
Factor -v**4/5 - 59*v**3/5 - 66*v**2 - 644*v/5 - 424/5.
-(v + 2)**3*(v + 53)/5
Factor -2*i**4/3 + 148*i**3/3 - 928*i**2 + 20224*i/3 - 51200/3.
-2*(i - 50)*(i - 8)**3/3
Suppose -4*t**4 + 36*t**2 = 0. Calculate t.
-3, 0, 3
Factor 4*x**3 + 64*x**2 + 52*x - 120.
4*(x - 1)*(x + 2)*(x + 15)
Factor -s**2/3 - 13*s/3 + 14/3.
-(s - 1)*(s + 14)/3
Suppose 12*t**3 - 40*t**2/3 + 4*t/3 = 0. What is t?
0, 1/9, 1
Find t, given that 3*t**2 - 498*t + 20667 = 0.
83
What is a in -a**5 + 11*a**4 - 19*a**3 - 115*a**2 + 200*a + 500 = 0?
-2, 5
Factor -5*z**2 - 900*z - 40500.
-5*(z + 90)**2
Determine f so that -4*f**5 - 12*f**4 + 100*f**3 - 100*f**2 - 96*f + 112 = 0.
-7, -1, 1, 2
What is s in 2*s**4/7 + 22*s**3/7 + 16*s**2/7 - 40*s/7 = 0?
-10, -2, 0, 1
Factor 4*y**4 + 197*y**3 - 562*y**2 + 517*y - 156.
(y - 1)**2*(y + 52)*(4*y - 3)
Factor -4*j**2/5 + 684*j/5.
-4*j*(j - 171)/5
Suppose z**2/10 - 23*z/10 - 39/5 = 0. Calculate z.
-3, 26
Find r such that 5*r**4 + 60*r**3 + 250*r**2 + 420*r + 225 = 0.
-5, -3, -1
Factor 3*w**3/5 + 162*w**2/5 + 2016*w/5 + 7296/5.
3*(w + 8)**2*(w + 38)/5
Factor -2*g**2/9 + 16*g/3 + 104/9.
-2*(g - 26)*(g + 2)/9
Factor 3*h**3 - 31*h**2 - 22*h.
h*(h - 11)*(3*h + 2)
Factor -16*v**5 + 52*v**4 - 60*v**3 + 28*v**2 - 4*v.
-4*v*(v - 1)**3*(4*v - 1)
Factor 2*q**5/5 - 14*q**4/5 + 6*q**3 - 26*q**2/5 + 8*q/5.
2*q*(q - 4)*(q - 1)**3/5
Factor 5*r**4 + 25*r**3 - 55*r**2 - 165*r - 90.
5*(r - 3)*(r + 1)**2*(r + 6)
Suppose -q**3 - 46*q**2 + 95*q - 48 = 0. What is q?
-48, 1
Find b such that -3*b**2 - 108*b - 465 = 0.
-31, -5
Suppose 2*i**2/3 + 26*i/3 + 44/3 = 0. Calculate i.
-11, -2
Factor -3*u**3/7 + 4005*u**2/7 - 1782225*u/7 + 264363375/7.
-3*(u - 445)**3/7
What is z in -46*z**2/3 + 44*z/3 + 2/3 = 0?
-1/23, 1
Solve 13*n**4/3 + 25*n**3/3 - 31*n**2 + 59*n/3 - 4/3 = 0 for n.
-4, 1/13, 1
What is u in 3*u**2 + 12*u + 9 = 0?
-3, -1
Let -3*x**3/8 - 4659*x**2/8 - 1797153*x/8 + 9102615/8 = 0. Calculate x.
-779, 5
Solve -3*y**4 - 234*y**3 - 456*y**2 = 0 for y.
-76, -2, 0
Factor 5*n**2/3 - 65*n/3 + 20.
5*(n - 12)*(n - 1)/3
Factor m**2/4 + 79*m/4 + 77/2.
(m + 2)*(m + 77)/4
Factor 4*l**4 + 92*l**3 + 548*l**2 - 44*l - 2904.
4*(l - 2)*(l + 3)*(l + 11)**2
Suppose -2*q**5 + 6*q**4 + 36*q**3 - 44*q**2 - 162*q - 90 = 0. Calculate q.
-3, -1, 3, 5
Solve 5*m**2 + 20*m - 385 = 0 for m.
-11, 7
Suppose -6*r**3/7 + 24*r**2/7 + 6*r/7 - 24/7 = 0. What is r?
-1, 1, 4
Find t, given that -3*t**3/7 - 16893*t**2/7 - 23789565*t/7 - 23772675/7 = 0.
-2815, -1
Factor -3*z**3 + 390*z**2 - 13056*z + 24576.
-3*(z - 64)**2*(z - 2)
Determine z, given that -45*z**4/2 - 57*z**3/2 + 103*z**2/2 + 81*z/2 + 7 = 0.
-2, -1/3, 7/5
Factor -2*a**5/3 - 2*a**4/3 + 2*a**3 + 10*a**2/3 + 4*a/3.
-2*a*(a - 2)*(a + 1)**3/3
Factor -10*d**2 + 95*d/4 - 15/2.
-5*(d - 2)*(8*d - 3)/4
What is y in -5*y**2 + 105*y + 360 = 0?
-3, 24
Factor 3*m**3/2 - 1413*m**2/2 - 2835*m/2 - 1419/2.
3*(m - 473)*(m + 1)**2/2
Find p, given that 6*p**4 + 57*p**3 + 117*p**2 + 87*p + 21 = 0.
-7, -1, -1/2
Determine r, given that 3*r**4 + 54*r**3 - 405*r**2 + 648*r = 0.
-24, 0, 3
Find g such that 12*g**4 + 33*g**3 + 15*g**2 - 6*g = 0.
-2, -1, 0, 1/4
Let 5*r**3 - 4210*r**2 + 8400*r = 0. What is r?
0, 2, 840
Factor -4*q**2/7 + 576*q - 145152.
-4*(q - 504)**2/7
Determine c so that -2*c**5 + 2*c**4 + 14*c**3 - 26*c**2 + 12*c = 0.
-3, 0, 1, 2
Factor -3*v**2 + 1272*v - 134832.
-3*(v - 212)**2
What is q in -q**4/3 - 529*q**3/3 + 2663*q**2/3 - 1245*q + 534 = 0?
-534, 1, 3
Factor 15*n**5 + 790*n**4 - 265*n**3.
5*n**3*(n + 53)*(3*n - 1)
Determine j, given that j**5/3 + 12*j**4 + 425*j**3/3 + 1658*j**2/3 - 140*j - 9800/3 = 0.
-14, -5, 2
Determine o so that o**2/2 + 4829*o + 23319241/2 = 0.
-4829
Factor z**2 - 64*z - 65.
(z - 65)*(z + 1)
Facto