
Solve -3*s**2 + 106*s/3 + 8 = 0 for s.
-2/9, 12
Solve 214*n**5 - 10886*n**4/7 + 14776*n**3/7 + 20824*n**2/7 - 6464*n/7 - 128/7 = 0 for n.
-1, -2/107, 2/7, 4
Let -3*z**5/5 + 171*z**4/5 - 720*z**3 + 33996*z**2/5 - 139104*z/5 + 202176/5 = 0. Calculate z.
4, 13, 18
Let 3*j**2 - 345*j + 2568 = 0. What is j?
8, 107
Suppose 5*f**3 - 118475*f**2 - 592500*f = 0. Calculate f.
-5, 0, 23700
Factor 3*n**3 - 25692*n**2 - 772785*n - 5800950.
3*(n - 8594)*(n + 15)**2
Solve 8*s**4/3 - 7106*s**3 + 14315654*s**2/3 - 50460502*s - 38740438/3 = 0 for s.
-1/4, 11, 1327
Factor 1838*v**3/9 - 1220*v**2/3 + 602*v/3 + 16/9.
2*(v - 1)**2*(919*v + 8)/9
Determine a so that 5*a**2 - 107250*a + 575128125 = 0.
10725
Factor 18*z**3 - 3478*z**2 + 112948*z - 24928.
2*(z - 152)*(z - 41)*(9*z - 2)
Factor -21*o**2/8 - 4245*o/8 - 12078.
-3*(o + 176)*(7*o + 183)/8
Factor 3*r**3/7 - 2217*r**2/7 + 13218*r/7 - 17592/7.
3*(r - 733)*(r - 4)*(r - 2)/7
Factor -f**3/9 - 754*f**2/3 + 2016*f - 36320/9.
-(f - 4)**2*(f + 2270)/9
Let -3*h**5/5 - 17781*h**4/5 + 14232*h**3 - 71172*h**2/5 = 0. Calculate h.
-5931, 0, 2
Factor -u**3 - 53*u**2 - 579*u - 1287.
-(u + 3)*(u + 11)*(u + 39)
Find b, given that 3*b**2/4 + 20937*b + 146119323 = 0.
-13958
Solve -w**2/7 + 17939*w/7 + 17940/7 = 0.
-1, 17940
Suppose -10*o**3/3 + 1288*o**2/3 + 2870*o/3 + 524 = 0. What is o?
-6/5, -1, 131
Find n, given that -8*n**3/7 + 125640*n**2/7 + 125646*n/7 + 31412/7 = 0.
-1/2, 15706
Let 2*z**4/7 + 179720*z**3/7 + 4037230076*z**2/7 - 8074999320*z/7 + 4037589522/7 = 0. What is z?
-44931, 1
Factor 14*z**2 + 1255722*z - 1255736.
2*(z - 1)*(7*z + 627868)
Factor 3*i**3/2 - 10689*i**2/2 + 4747224*i + 23869920.
3*(i - 1784)**2*(i + 5)/2
Factor -c**2/4 - 42659*c/4 - 21329/2.
-(c + 1)*(c + 42658)/4
Suppose 8*f**3/3 - 110*f**2/3 + 332*f/3 + 30 = 0. What is f?
-1/4, 5, 9
Determine c so that -12*c**5 + 6972*c**4 + 15*c**3 - 8715*c**2 - 3*c + 1743 = 0.
-1, -1/2, 1/2, 1, 581
Determine u so that 2*u**5 - 570*u**4 + 43604*u**3 - 423348*u**2 + 718154*u - 337842 = 0.
1, 9, 137
Suppose 6*a**3/7 - 1380*a**2/7 + 44454*a/7 + 45840/7 = 0. Calculate a.
-1, 40, 191
Suppose 2*p**4/13 + 864*p**3/13 + 1720*p**2/13 = 0. What is p?
-430, -2, 0
Factor -4*k**3/7 - 1760*k**2/7 - 190032*k/7 + 788544/7.
-4*(k - 4)*(k + 222)**2/7
Factor -d**3/3 - 8109*d**2.
-d**2*(d + 24327)/3
Suppose 780*r**5 + 7145*r**4 - 7390*r**3 - 7745*r**2 + 6610*r + 600 = 0. Calculate r.
-10, -1, -1/12, 12/13, 1
Let 3*p**4 + 15126*p**3 + 45360*p**2 + 45354*p + 15117 = 0. Calculate p.
-5039, -1
Factor -3*w**3 + 186*w**2 - 1623*w + 3276.
-3*(w - 52)*(w - 7)*(w - 3)
Let -28*k**5/5 + 482*k**4/5 - 1362*k**3/5 + 1474*k**2/5 - 130*k + 84/5 = 0. What is k?
3/14, 1, 14
Suppose 2*x**5 + 1980*x**4 + 17682*x**3 + 23384*x**2 - 157344*x - 376704 = 0. Calculate x.
-981, -4, 3
Factor -4*p**3 + 11740*p**2 - 23468*p + 11732.
-4*(p - 2933)*(p - 1)**2
Factor -r**3/3 + 1962*r**2 - 2887083*r.
-r*(r - 2943)**2/3
Determine p so that -p**3/3 + 19*p**2 - 356*p/3 + 100 = 0.
1, 6, 50
Factor -x**2 - 2509*x - 2508.
-(x + 1)*(x + 2508)
Let s**4/8 - 21*s**3/8 - 97*s**2/8 - 75*s/8 = 0. What is s?
-3, -1, 0, 25
Find m, given that -6*m**3 - 6782*m**2 - 9034*m - 2258 = 0.
-1129, -1, -1/3
Factor -2*u**2/13 + 66828*u/13 - 558247698/13.
-2*(u - 16707)**2/13
Factor 4*r**3/5 - 948*r**2/5 + 15024*r/5 - 2816.
4*(r - 220)*(r - 16)*(r - 1)/5
Factor 3*x**5 + 33*x**4 + 60*x**3 - 96*x**2.
3*x**2*(x - 1)*(x + 4)*(x + 8)
Determine c so that 162*c**5 - 666*c**4/5 - 13112*c**3/5 - 18496*c**2/5 - 2752*c/5 + 32 = 0.
-2, -2/9, 2/45, 5
Factor 5*j**2 - 2005*j - 8100.
5*(j - 405)*(j + 4)
Solve l**5 + 13*l**4 + 50*l**3 + 50*l**2 - 51*l - 63 = 0 for l.
-7, -3, -1, 1
Factor -212*b**2 - 2344*b - 132.
-4*(b + 11)*(53*b + 3)
Factor -2*o**2/5 - 1846*o/5 + 34272.
-2*(o - 85)*(o + 1008)/5
Suppose -2*g**3/7 + 100874*g**2/7 - 181684880*g - 3816290400/7 = 0. What is g?
-3, 25220
Let 2*c**3/5 - 484*c**2/5 + 3232*c = 0. What is c?
0, 40, 202
Factor 5611243656483*c**4 - 16836463496187*c**3 + 8198023770*c**2 - 1330692*c + 72.
3*(c - 3)*(12321*c - 2)**3
Factor -2*k**3/15 + 48*k**2/5 - 574*k/5 + 5684/15.
-2*(k - 58)*(k - 7)**2/15
Solve -5*z**5/8 + 463*z**4/4 - 15375*z**3/8 + 14879*z**2/4 - 668*z = 0 for z.
0, 1/5, 2, 16, 167
Factor z**5/6 - 22763*z**4/6 + 28785078*z**3 - 218363594120*z**2/3 - 218449960736*z/3.
z*(z - 7588)**3*(z + 1)/6
Factor w**4 + 69*w**3 + 975*w**2 + 4879*w + 7644.
(w + 3)*(w + 7)**2*(w + 52)
Suppose -3*f**3 - 9840*f**2 + 29547*f = 0. What is f?
-3283, 0, 3
Factor g**3/2 - 1445*g**2/2 + 1439*g + 5772.
(g - 1443)*(g - 4)*(g + 2)/2
Factor -121*u**4 + 20548*u**3 - 851566*u**2 - 1765260*u - 893025.
-(u + 1)**2*(11*u - 945)**2
Factor -405*b**3 - 2462175*b**2 - 1094240*b - 121580.
-5*(b + 6079)*(9*b + 2)**2
Let -m**5 + 9*m**4 + 458*m**3 - 5184*m**2 - 5632*m = 0. What is m?
-22, -1, 0, 16
Factor -2*s**2/9 + 52*s/3 + 1014.
-2*(s - 117)*(s + 39)/9
Solve 3*h**5 + 14568*h**4 - 29184*h**3 - 174834*h**2 + 262413*h + 393498 = 0 for h.
-4858, -3, -1, 3
Factor s**2/4 + 28971*s + 839318841.
(s + 57942)**2/4
Suppose b**4/4 - 279*b**3/4 + 16527*b**2/4 + 33895*b/4 + 4272 = 0. What is b?
-1, 89, 192
Factor -5*t**2 - 1590*t - 118405.
-5*(t + 119)*(t + 199)
Factor 4*o**4 - 28*o**3 - 15204*o**2 - 131652*o.
4*o*(o - 69)*(o + 9)*(o + 53)
Factor 14*g**3 + 246415*g**2 + 17601*g.
g*(g + 17601)*(14*g + 1)
Solve o**2/8 + 101*o/2 + 403/8 = 0.
-403, -1
Factor 3*k**4 + 57*k**3 - 624*k**2 - 14592*k - 36864.
3*(k - 16)*(k + 3)*(k + 16)**2
Factor -b**2 + 6120*b + 36756.
-(b - 6126)*(b + 6)
Suppose -q**5/5 + 13*q**4/5 + 2426*q**3/5 - 10588*q**2 - 175576*q/5 - 120224/5 = 0. What is q?
-52, -2, -1, 34
Solve 5*y**2 + 1163575*y - 2327170 = 0.
-232717, 2
Determine o so that 32*o**2/3 + 366*o - 770/3 = 0.
-35, 11/16
Factor 3*i**2/4 - 10647*i + 37786203.
3*(i - 7098)**2/4
Find j such that -3*j**2/2 - 570*j + 5775/2 = 0.
-385, 5
Solve v**2 + 230466*v + 13278644289 = 0.
-115233
Suppose k**3 + 18*k**2 - 193*k - 450 = 0. Calculate k.
-25, -2, 9
Suppose o**2/4 + 393*o/2 + 392 = 0. Calculate o.
-784, -2
Factor -5*o**4 + 390*o**3 + 1625*o**2 + 1230*o.
-5*o*(o - 82)*(o + 1)*(o + 3)
Solve -2*t**2 + 22922*t/9 - 10184/9 = 0 for t.
4/9, 1273
Determine o so that 5*o**5 + 545*o**4 + 3440*o**3 - 13620*o**2 - 36720*o = 0.
-102, -9, -2, 0, 4
Factor -2*t**2/7 - 902260*t/7 - 101759138450/7.
-2*(t + 225565)**2/7
Factor 5*i**4 - 460*i**3 + 1780*i**2 - 1760*i.
5*i*(i - 88)*(i - 2)**2
Factor -w**4 + 8591*w**3 - 51515*w**2 + 42925*w.
-w*(w - 8585)*(w - 5)*(w - 1)
Factor 33*v**2 - 70617*v - 218586.
3*(v - 2143)*(11*v + 34)
Solve l**3/2 - 8633*l**2/10 - 1727*l/5 = 0.
-2/5, 0, 1727
Solve 5*u**2/4 + 401355*u/4 - 401365/2 = 0 for u.
-80273, 2
Factor 4*z**3/5 + 24*z**2/5 - 5724*z/5 + 5504.
4*(z - 32)*(z - 5)*(z + 43)/5
Factor -2*t**2 - 1142*t + 78492.
-2*(t - 62)*(t + 633)
Factor 299*r**2/7 - 733*r/7 + 270/7.
(r - 2)*(299*r - 135)/7
Determine l, given that -l**5/8 + 81*l**4/8 - 661*l**3/8 + 891*l**2/8 + 1645*l/4 - 450 = 0.
-2, 1, 5, 72
Determine s, given that 8100*s**2 - 10080*s + 3136 = 0.
28/45
Factor 5*u**2 + 38115*u + 114300.
5*(u + 3)*(u + 7620)
What is y in 4*y**4/5 + 604*y**3/5 - 1864*y**2/5 - 2464*y/5 = 0?
-154, -1, 0, 4
Factor -5*a**4 - 71635*a**3 - 256614475*a**2 - 256542845*a.
-5*a*(a + 1)*(a + 7163)**2
Let 5*x**2 + 1890*x + 154800 = 0. Calculate x.
-258, -120
Factor 2*q**4/15 - 1234*q**3/5 - 32422*q**2/5 - 634426*q/15.
2*q*(q - 1877)*(q + 13)**2/15
Factor -5*s**3/4 - 38*s**2 + 1695*s/4 + 351/2.
-(s - 9)*(s + 39)*(5*s + 2)/4
Let 484*r**5 - 213576*r**4 + 1530736*r**3 - 1322592*r**2 - 1610240*r - 333312 = 0. Calculate r.
-4/11, 2, 6, 434
Suppose 33*m**3 - 824346*m**2 + 149880*m = 0. Calculate m.
0, 2/11, 24980
Let -5*a**5 + 340*a**4 + 1860*a**3 - 2530*a**2 - 1855*a + 2190 = 0. Calculate a.
-6, -1, 1, 73
Find m, given that 9*m**4 + 960*m**3 + 4323*m**2 + 3960*m - 1836 = 0.
-102, -3, -2, 1/3
Factor q**4/2 + 14*q**3 + 115*q**2/2.
q**2*(q + 5)*(q + 23)/2
Determine w so that -2*w**3/11 - 600*w**2/11 + 28998*w/11 + 92340/11 = 0.
-342, -3, 45
Let -2*b**2/7 + 482*b/7 - 19380/7 = 0. What is b?
51, 190
Let 4*j**2 - 3320*j + 36036 = 0. What is j?
11, 819
Let 2*k**3/5 - 54*k**2/5 + 228*k/5 - 176/5 = 0. What is k?
1, 4, 22
What is w in w**3 - 21*w**2 + 71*w - 51 = 0?
1, 3, 17
Factor 3*t**2/4 + 1146405*t/2 + 438081474