2 - 16*h**2 - 165*h/2 - 117.
-(h + 3)**2*(h + 26)/2
Solve 9*i**5/2 + 48*i**4 + 26*i**3 - 43*i**2 - 61*i/2 - 5 = 0.
-10, -1, -1/3, 1
Factor 3*c**4 + 123*c**3 + 1314*c**2 + 3552*c - 4992.
3*(c - 1)*(c + 8)**2*(c + 26)
Factor 5*v**2 - 60*v + 175.
5*(v - 7)*(v - 5)
Determine z, given that -8*z**2 + 140*z - 68 = 0.
1/2, 17
Let 27*r**2 - 79200*r + 58080000 = 0. Calculate r.
4400/3
What is w in -2187*w**3 - 2349*w**2 - 165*w - 3 = 0?
-1, -1/27
Find o, given that -65*o**2 + 900*o + 140 = 0.
-2/13, 14
Suppose 28*l**4 - 132*l**3 + 72*l**2 + 32*l = 0. What is l?
-2/7, 0, 1, 4
Find y such that -49*y**5 - 1442*y**4 - 5485*y**3 - 1408*y**2 + 2284*y - 400 = 0.
-25, -4, -1, 2/7
Factor -2*w**2 - 226*w - 872.
-2*(w + 4)*(w + 109)
Determine r, given that -2*r**3 - 233*r**2 + 354*r = 0.
-118, 0, 3/2
Factor 2*y**4/9 - 2108*y**3/9 + 2104*y**2/3 - 6308*y/9 + 2102/9.
2*(y - 1051)*(y - 1)**3/9
Solve n**2/5 + 12*n + 59/5 = 0 for n.
-59, -1
Factor -5*f**3 + 25*f**2 - 35*f + 15.
-5*(f - 3)*(f - 1)**2
Find n, given that -2000*n**3 - 241800*n**2 - 9744540*n - 130901654 = 0.
-403/10
Factor 9*i**2 + 23*i.
i*(9*i + 23)
Suppose -s**2/4 + 1 = 0. Calculate s.
-2, 2
Find x, given that x**5/4 + 23*x**4/4 + 153*x**3/4 + 405*x**2/4 + 189*x/2 = 0.
-14, -3, 0
Determine h, given that -54*h**3 - 1212*h**2 - 520*h + 176 = 0.
-22, -2/3, 2/9
Let 3*g**5 + 120*g**4 - 648*g**3 + 1194*g**2 - 939*g + 270 = 0. Calculate g.
-45, 1, 2
Solve -72*y**3/5 - 192*y**2/5 - 34*y - 10 = 0 for y.
-1, -5/6
Solve 2*i**4 - 44*i**3/3 - 230*i**2/3 - 44*i = 0 for i.
-3, -2/3, 0, 11
Factor 6*j**3/7 + 16*j**2/7 - 82*j/7 - 60/7.
2*(j - 3)*(j + 5)*(3*j + 2)/7
Find g, given that -32*g**4 - 7728*g**3 - 464642*g**2 + 233772*g - 29282 = 0.
-121, 1/4
Solve -540*p**4 + 2268*p**3 - 2088*p**2 + 400*p + 96 = 0 for p.
-2/15, 2/3, 3
Factor -162*k**4/7 - 180*k**3/7 + 454*k**2/7 + 40*k - 56.
-2*(k - 1)**2*(9*k + 14)**2/7
Factor 3*m**2 - 789*m/5 - 318/5.
3*(m - 53)*(5*m + 2)/5
Factor n**3 - 616*n**2 - 1235*n - 618.
(n - 618)*(n + 1)**2
Determine g so that g**5/3 + 13*g**4/3 + 41*g**3/3 + 47*g**2/3 + 6*g = 0.
-9, -2, -1, 0
Suppose r**3/4 - r**2 - 11*r/4 - 3/2 = 0. Calculate r.
-1, 6
Factor -4*u**3/3 + 68*u**2 + 424*u/3.
-4*u*(u - 53)*(u + 2)/3
Find d, given that d**4/5 - 82*d**3/5 + 1417*d**2/5 + 10824*d/5 + 17424/5 = 0.
-3, 44
Determine c, given that -c**4 + 35*c**3 - 323*c**2 + 289*c = 0.
0, 1, 17
Solve 3*y**2 - 5457*y + 10902 = 0 for y.
2, 1817
Find j, given that 15*j**4 + 1746*j**3 + 2391*j**2 - 2772*j - 1380 = 0.
-115, -2, -2/5, 1
Solve 5*m**3 + 185*m**2 + 730*m - 2240 = 0 for m.
-32, -7, 2
Suppose -3*y**2/4 - 39*y + 495/4 = 0. What is y?
-55, 3
Find r such that 2*r**2/3 - 82*r/3 - 172/3 = 0.
-2, 43
Let 2*h**4 - 1688*h**3 + 356168*h**2 = 0. What is h?
0, 422
Factor 2*f**3/17 - 14*f**2/17 + 8*f/17 + 24/17.
2*(f - 6)*(f - 2)*(f + 1)/17
Determine j, given that -35912*j**2/3 + 2680*j/3 - 50/3 = 0.
5/134
Factor -p**5/3 - 5*p**4 - 89*p**3/3 - 87*p**2 - 126*p - 72.
-(p + 2)*(p + 3)**3*(p + 4)/3
Factor 39*r**3 - 153*r**2 + 108*r.
3*r*(r - 3)*(13*r - 12)
Suppose -5*p**3 + 115*p**2 - 555*p + 765 = 0. Calculate p.
3, 17
Factor 4*y**3 - 116*y**2 - 840*y.
4*y*(y - 35)*(y + 6)
Determine a so that 4*a**3 - 844*a - 840 = 0.
-14, -1, 15
Factor 22*u**3/9 + 8*u**2 + 8*u/3 - 64/9.
2*(u + 2)**2*(11*u - 8)/9
Solve -p**3/2 - 195*p**2/2 - 12675*p/2 - 274625/2 = 0.
-65
Factor -2*y**4/7 - 2*y**3 + 34*y**2/7 - 18*y/7.
-2*y*(y - 1)**2*(y + 9)/7
Solve -21*a**3 - 687*a**2 + 912*a - 204 = 0.
-34, 2/7, 1
Factor -5*y**4 + 720*y**3 - 38850*y**2 + 931000*y - 8360625.
-5*(y - 39)*(y - 35)**3
Factor -4*p**3 - 4*p**2 + 32*p + 48.
-4*(p - 3)*(p + 2)**2
Factor 2*o**2/5 - 1116*o/5 + 155682/5.
2*(o - 279)**2/5
Let -14*r**5/9 + 332*r**4/9 + 1244*r**3/9 - 8*r**2/9 - 410*r/3 - 36 = 0. What is r?
-3, -1, -2/7, 1, 27
Let -2*w**4/3 + 48*w**3 - 2732*w**2/3 + 1680*w - 2450/3 = 0. What is w?
1, 35
Factor -7*j**2/2 - 22*j - 6.
-(j + 6)*(7*j + 2)/2
Solve 3*c**3/8 - 33*c**2/2 - 69*c/2 = 0.
-2, 0, 46
Factor 2*x**3/9 + 12*x**2 + 448*x/3 - 3136/9.
2*(x - 2)*(x + 28)**2/9
Factor -2*u**3/9 + 64*u**2/9 - 512*u/9.
-2*u*(u - 16)**2/9
Suppose -9*g**4/8 + 15*g**3/2 - 57*g**2/4 + 9*g/2 + 27/8 = 0. Calculate g.
-1/3, 1, 3
Find u, given that -4*u**2/7 + 4968*u/7 = 0.
0, 1242
Solve -2*h**5 - 8*h**4 + 2*h**3 + 32*h**2 + 24*h = 0 for h.
-3, -2, -1, 0, 2
Determine u, given that 2*u**3/3 + 26*u**2/3 - 32*u = 0.
-16, 0, 3
Factor 4*j**2 + 6760*j.
4*j*(j + 1690)
Factor 5*v**5 + 645*v**4 - 11150*v**3 + 64250*v**2 - 144375*v + 90625.
5*(v - 5)**3*(v - 1)*(v + 145)
Factor 4*n**2 - 72*n - 76.
4*(n - 19)*(n + 1)
Let 9*n**5/5 + 12*n**4/5 - 6*n**3 - 12*n**2/5 + 21*n/5 = 0. What is n?
-7/3, -1, 0, 1
Find k, given that -2*k**5 + 34*k**4/3 - 62*k**3/3 + 46*k**2/3 - 4*k = 0.
0, 2/3, 1, 3
Factor 2*m**2/7 - 258*m/7 - 260/7.
2*(m - 130)*(m + 1)/7
Let 2*o**4/11 - 46*o**2/11 + 36*o/11 + 80/11 = 0. Calculate o.
-5, -1, 2, 4
Factor -25625808*a**4/11 + 23326056*a**3/11 + 2230956*a**2/11 + 68110*a/11 + 686/11.
-2*(a - 1)*(234*a + 7)**3/11
Factor -4*m**4 + 72*m**3 - 64*m**2 - 72*m + 68.
-4*(m - 17)*(m - 1)**2*(m + 1)
Let -j**5/3 + 62*j**4/3 + 193*j**3/3 + 130*j**2/3 = 0. Calculate j.
-2, -1, 0, 65
Find c such that -10*c**5 + 264*c**4 - 2034*c**3 + 3892*c**2 - 2688*c + 576 = 0.
2/5, 1, 12
Find b, given that -2*b**2/3 - 106*b/3 - 104/3 = 0.
-52, -1
Let 2*w**4 + 120*w**3 + 2036*w**2 + 9672*w - 11830 = 0. What is w?
-35, -13, 1
Factor -5*r**4 + 70*r**3 - 365*r**2 + 840*r - 720.
-5*(r - 4)**2*(r - 3)**2
Solve -2*m**3/5 + 62*m**2/5 + 64*m/5 = 0 for m.
-1, 0, 32
Factor -3*z**2/2 - 897*z/2 + 1359.
-3*(z - 3)*(z + 302)/2
Factor 334562*n**3 - 328018*n**2 - 6512*n - 32.
2*(n - 1)*(409*n + 4)**2
Factor -5*v**4 + 475*v**3 - 2715*v**2 + 4005*v.
-5*v*(v - 89)*(v - 3)**2
Factor -g**5 + g**4 + 7*g**3 - 13*g**2 + 6*g.
-g*(g - 2)*(g - 1)**2*(g + 3)
Factor 2*g**2/5 - 122*g/5 + 24.
2*(g - 60)*(g - 1)/5
Factor -k**2 + 2*k + 24.
-(k - 6)*(k + 4)
Factor 1406*v**2/7 - 4*v/7 - 16/7.
2*(19*v + 2)*(37*v - 4)/7
Factor 3*b**2 - 27.
3*(b - 3)*(b + 3)
Suppose 9*z**2 - 30*z - 24 = 0. Calculate z.
-2/3, 4
Factor q**3/2 + q**2 - 2*q - 4.
(q - 2)*(q + 2)**2/2
Factor 5*g**5 - 25*g**4 - 65*g**3 - 35*g**2.
5*g**2*(g - 7)*(g + 1)**2
Let 2*g**2/7 + 100*g + 3450/7 = 0. Calculate g.
-345, -5
Solve -46*r**4 - 4*r**3 + 46*r**2 + 4*r = 0.
-1, -2/23, 0, 1
Let 2*j**2/13 - 320*j/13 + 2718/13 = 0. What is j?
9, 151
Suppose -4*l**2 + 68*l = 0. Calculate l.
0, 17
Solve -4*f**2/7 + 8*f + 128/7 = 0 for f.
-2, 16
Factor 30*u**3 + 1135*u**2 - 195*u - 190.
5*(u + 38)*(2*u - 1)*(3*u + 1)
Find c such that 3*c**3/7 - 96*c**2/7 + 249*c/7 + 348/7 = 0.
-1, 4, 29
What is a in -a**2/3 - 550*a/3 - 75625/3 = 0?
-275
Factor 98*q**5 - 99036*q**4 + 25049018*q**3 - 14289480*q**2 + 2040200*q.
2*q*(q - 505)**2*(7*q - 2)**2
Factor 5*h**4 - 140*h**3 + 1185*h**2 - 3870*h + 4320.
5*(h - 16)*(h - 6)*(h - 3)**2
Determine d, given that 475*d**2 + 140*d - 20 = 0.
-2/5, 2/19
Factor -3*c**3 - 39*c**2 - 117*c - 81.
-3*(c + 1)*(c + 3)*(c + 9)
What is n in 3*n**4/5 - 12*n**3/5 + 9*n**2/5 + 12*n/5 - 12/5 = 0?
-1, 1, 2
Factor 4*j**2 - 1472*j - 1476.
4*(j - 369)*(j + 1)
Let 3*y**4 - 21*y**3 + 48*y**2 - 36*y = 0. Calculate y.
0, 2, 3
Let -3*s**4 - 80*s**3 - 196*s**2 - 96*s = 0. Calculate s.
-24, -2, -2/3, 0
Factor 4*c**2 - 52*c.
4*c*(c - 13)
Let 16*r**2 - 42964*r + 10740 = 0. What is r?
1/4, 2685
Find c, given that -3*c**2 + 111*c - 210 = 0.
2, 35
Let w**2/4 + 329*w = 0. What is w?
-1316, 0
Factor n**4/4 - 2*n**3 - 13*n**2 + 80*n + 192.
(n - 8)**2*(n + 2)*(n + 6)/4
Let -10*x**4/3 - 125*x**3/6 - 35*x**2 - 125*x/6 - 10/3 = 0. What is x?
-4, -1, -1/4
Factor 57*u**3/4 + 287*u**2/4 + 88*u + 3.
(u + 2)*(u + 3)*(57*u + 2)/4
Factor 3*t**4/4 + 507*t**3/2 + 21672*t**2 + 42336*t.
3*t*(t + 2)*(t + 168)**2/4
Let 2*v**3 - 150*v**2 - 1296*v - 2656 = 0. What is v?
-4, 83
Factor 2*q**2/7 + 16*q - 232/7.
2*(q - 2)*(q + 58)/7
Factor -5*l**4 - 270*l**3 - 3905*l**2 - 7020*l - 3380.
-5*(l + 1)**2*(l + 26)**2
Factor 2*a**4 + 16*a**3 + 44*a**2 + 48*a + 18.
2*(a + 1)**2*(a + 3)**2
Determine h, given that -3*h**5 - 11*h**4 - 9*h**3 + 7*h**2 + 12*h + 4 = 0.
-2, -1, -2/3, 1
Find t, given that 64*t**4 - 2752*t**3 + 30924*t**2 - 28728*t + 5292 = 0.
1/4, 3/4, 21
Factor -2*d**3/17 - 54*d**2/17 + 122*d/17 + 174/17.
-2*(d - 3)*(d + 1)*(d