 given that -2*w**2 + 96*w - 270 = 0.
3, 45
Factor -s**3 - 608*s**2 + 21539*s - 185538.
-(s - 17)**2*(s + 642)
Suppose -6*p**2 + 470*p/3 - 1288/3 = 0. Calculate p.
28/9, 23
Factor -2*c**2/17 - 159576*c/17 + 159578/17.
-2*(c - 1)*(c + 79789)/17
Find l such that 4*l**4 - 2916*l**3 - 4*l**2 + 2916*l = 0.
-1, 0, 1, 729
Let -h**3/3 - 149*h**2 + 1804*h/3 = 0. What is h?
-451, 0, 4
Solve -2*c**5/3 - 26*c**4 - 454*c**3/3 + 1650*c**2 + 12528*c = 0.
-29, -9, 0, 8
What is g in -4*g**4 + 6880*g**3 - 3006168*g**2 + 41080480*g - 142611364 = 0?
7, 853
Factor -4*b**2/3 - 5348*b/3 + 1784.
-4*(b - 1)*(b + 1338)/3
Suppose -578*s**3/7 - 429318*s**2/7 - 756270*s/7 - 333450/7 = 0. Calculate s.
-741, -15/17
Factor 34212*g**2/5 - 6*g/5.
6*g*(5702*g - 1)/5
Determine a so that a**3 - 2987*a**2 - a + 2987 = 0.
-1, 1, 2987
Solve 8*h**5/7 + 496*h**4/7 + 3218*h**3/7 + 7730*h**2/7 + 7750*h/7 + 2750/7 = 0.
-55, -5/2, -1
Solve -10*d**3/3 + 279904*d**2/15 - 302242*d/15 + 22388/15 = 0 for d.
2/25, 1, 5597
Let -2*f**5/9 + 94*f**4/9 - 998*f**3/9 + 1358*f**2/3 - 760*f + 408 = 0. Calculate f.
1, 3, 6, 34
Factor -s**4 - 11*s**3 + 432*s**2.
-s**2*(s - 16)*(s + 27)
Factor -2*s**2/5 + 10198*s/5 + 20404/5.
-2*(s - 5101)*(s + 2)/5
Let -3*q**4 - 5319*q**3 - 2344293*q**2 + 11854815*q = 0. Calculate q.
-889, 0, 5
What is g in -2*g**2 + 47*g + 1554 = 0?
-37/2, 42
Factor -5*k**2 - 61050*k - 122080.
-5*(k + 2)*(k + 12208)
Solve -3*n**2 + 6210*n + 81237 = 0.
-13, 2083
Factor -2*p**2 + 53888*p - 362989568.
-2*(p - 13472)**2
What is o in -37*o**2/2 - 2885*o/4 + 39/4 = 0?
-39, 1/74
Find o, given that -7938*o**4 + 2199330*o**3 - 23366204*o**2 + 1476920*o - 23408 = 0.
2/63, 11, 266
Find f such that -4*f**3/5 + 16*f**2/5 + 20428*f/5 - 4088 = 0.
-70, 1, 73
Let 2*a**3/19 + 434*a**2 + 172284*a/19 = 0. Calculate a.
-4102, -21, 0
Factor -a**2/7 - 143734*a/7 - 287464/7.
-(a + 2)*(a + 143732)/7
Find j, given that -2*j**3 - 10*j**2 - 12*j = 0.
-3, -2, 0
Let 5*x**3 + 294365*x**2 - 2355160*x + 4710480 = 0. What is x?
-58881, 4
Factor 2*w**4 + 95848*w**3 + 1148354888*w**2.
2*w**2*(w + 23962)**2
Suppose -3*q**5 - 360*q**4 - 5979*q**3 + 2502*q**2 + 39840*q - 36000 = 0. What is q?
-100, -20, -3, 1, 2
Find l such that -2*l**4 + 230*l**3 + 672*l**2 - 165376*l + 1662976 = 0.
-29, 16, 112
Let -3*g**2 - 90*g - 243 = 0. Calculate g.
-27, -3
Determine g so that -2*g**3/13 + 522832*g**2/13 + 1045670*g/13 + 522836/13 = 0.
-1, 261418
Let -4*d**4 - 37*d**3 + 55*d**2 + 256*d + 60 = 0. What is d?
-10, -2, -1/4, 3
Factor -a**2/4 - 5006*a.
-a*(a + 20024)/4
Factor -2*d**2/5 + 138996*d/5 - 2414986002/5.
-2*(d - 34749)**2/5
Determine d, given that 99*d**5 + 1788*d**4/7 - 865*d**3/7 + 4*d**2 + 12*d/7 = 0.
-3, -2/21, 0, 2/11, 1/3
Let u**3 + 154912*u**2 + 309821*u + 154910 = 0. What is u?
-154910, -1
Determine y, given that -3*y**5 + 921*y**4 + 13626*y**3 - 46374*y**2 + 48201*y - 16371 = 0.
-17, 1, 321
Let -n**4/11 - 1491*n**3/11 - 556515*n**2/11 - 555025*n/11 = 0. What is n?
-745, -1, 0
Factor h**2/6 + 26068*h/3 + 339770312/3.
(h + 26068)**2/6
Find x such that -x**2/12 + 12069*x/4 - 36205/6 = 0.
2, 36205
Solve 4*v**3/3 - 131*v**2/6 - 1016*v/3 + 130 = 0.
-10, 3/8, 26
Solve -4*h**2 + 110368*h - 761318464 = 0.
13796
Determine i, given that -2*i**5/21 - 2248*i**4/3 - 94370*i**3/21 - 204436*i**2/21 - 188696*i/21 - 62896/21 = 0.
-7862, -2, -1
Suppose -4*l**3 - 37420*l**2 + 74856*l = 0. What is l?
-9357, 0, 2
Suppose -2*b**5/7 - 590*b**4/7 + 1194*b**3/7 + 1774*b**2/7 - 2384*b/7 - 2376/7 = 0. What is b?
-297, -1, 2
Factor 2*l**3/13 + 152*l**2/13 + 1510*l/13 - 128.
2*(l - 1)*(l + 13)*(l + 64)/13
Factor -5*s**2 + 1395770*s - 97408694645.
-5*(s - 139577)**2
Suppose -8*u**5/5 - 56*u**4 - 1786*u**3/5 - 316*u**2 - 378*u/5 = 0. What is u?
-27, -7, -1/2, 0
Determine d, given that -4*d**5 - 204*d**4 - 2128*d**3 + 6864*d**2 + 20672*d = 0.
-34, -19, -2, 0, 4
What is w in w**3/5 - 5462*w**2/5 - 4372*w - 21864/5 = 0?
-2, 5466
Find o, given that o**2/2 - 2769*o + 5537/2 = 0.
1, 5537
Factor 3*r**4 + 3006*r**3 + 936183*r**2 + 91773180*r + 2796242700.
3*(r + 71)**2*(r + 430)**2
Let -q**4 - 17*q**3 + 60*q**2 = 0. Calculate q.
-20, 0, 3
Factor -5*g**2 - 301735*g + 905250.
-5*(g - 3)*(g + 60350)
What is t in 5*t**2 - 830*t + 34200 = 0?
76, 90
Factor -u**3 - 9331*u**2 - 111855*u - 251613.
-(u + 3)*(u + 9)*(u + 9319)
Determine z so that z**5 - 44*z**4 + 536*z**3 - 1798*z**2 + 663*z + 3042 = 0.
-1, 3, 13, 26
Factor -3*q**2/7 + 34038*q/7 - 272112/7.
-3*(q - 11338)*(q - 8)/7
Suppose -27*r**3 + 2352*r**2 - 6780*r - 23184 = 0. What is r?
-2, 46/9, 84
Let 2*y**2/3 + 26812*y/3 + 89860418/3 = 0. What is y?
-6703
Find p such that p**2 + 407*p + 22230 = 0.
-342, -65
Factor 2*h**3 - 176*h**2 - 760*h + 2208.
2*(h - 92)*(h - 2)*(h + 6)
Factor -n**2/4 + 740*n + 54576.
-(n - 3032)*(n + 72)/4
Determine f, given that -f**4/6 - 17*f**3/3 - 407*f**2/6 - 1003*f/3 - 572 = 0.
-13, -11, -6, -4
Factor -4*c**3 + 2944*c**2 - 567220*c + 9279432.
-4*(c - 359)**2*(c - 18)
Factor 129372*y**3/13 + 258746*y**2/13 + 9952*y + 2/13.
2*(y + 1)**2*(64686*y + 1)/13
Solve -2*d**3/13 - 4206*d**2/13 - 2209200*d/13 + 2213408/13 = 0.
-1052, 1
Let 3*x**2/5 + 23346*x/5 + 23343/5 = 0. Calculate x.
-7781, -1
Find c such that -9*c**2/7 - 1128*c/7 - 1119/7 = 0.
-373/3, -1
Factor -x**4 + 46816*x**3 + 140454*x**2 + 140456*x + 46819.
-(x - 46819)*(x + 1)**3
Determine o, given that -320*o**3/13 + 20482*o**2/13 - 25216*o + 2048/13 = 0.
1/160, 32
Let -4*x**4/7 - 268*x**3/7 + 6564*x**2/7 + 5444*x + 31280/7 = 0. Calculate x.
-85, -4, -1, 23
Suppose -6*h**2 - 14145*h + 7074 = 0. Calculate h.
-2358, 1/2
Factor p**2/5 - 46717*p/5 + 46716/5.
(p - 46716)*(p - 1)/5
Determine y so that -4*y**3 - 1940*y**2 + 27748*y - 97804 = 0.
-499, 7
Let b**5/5 - 124*b**4 + 120318*b**3/5 - 6890792*b**2/5 - 14145023*b/5 - 7133292/5 = 0. What is b?
-1, 108, 257
Let -d**4/4 - 3*d**3 - 51*d**2/4 - 23*d - 15 = 0. What is d?
-5, -3, -2
Determine l, given that -2*l**2 + 14674*l + 146940 = 0.
-10, 7347
Factor 2*u**3 + 74*u**2 + 68*u - 144.
2*(u - 1)*(u + 2)*(u + 36)
Let -12*a**2 + 24214*a + 4036 = 0. Calculate a.
-1/6, 2018
Factor 3*p**3/4 - 2115*p**2/4 - 30051*p/4 - 105693/4.
3*(p - 719)*(p + 7)**2/4
Factor u**5 + 46*u**4 - 145*u**3 + 98*u**2.
u**2*(u - 2)*(u - 1)*(u + 49)
Suppose 5*o**4 + 350*o**3 - 4745*o**2 + 14350*o = 0. Calculate o.
-82, 0, 5, 7
Factor 3*f**3/8 + 3399*f**2/2 + 27183*f/8 + 6795/4.
3*(f + 1)**2*(f + 4530)/8
Solve -10*v**3 + 1705*v**2 - 9045*v - 4950 = 0 for v.
-1/2, 6, 165
Let 3*z**5 - 171*z**4 + 1116*z**3 + 2940*z**2 = 0. What is z?
-2, 0, 10, 49
Solve 777*p**4/2 + 2859*p**3/4 - 1431*p**2/4 - 519*p - 105 = 0.
-2, -1/2, -2/7, 35/37
Factor d**2/2 - 132484*d + 8776005128.
(d - 132484)**2/2
Suppose 4*d**5 + 11508*d**4 - 69176*d**3 + 46152*d**2 + 69172*d - 57660 = 0. What is d?
-2883, -1, 1, 5
Factor 5*q**3 - 420*q**2 - 2655*q + 591770.
5*(q - 59)**2*(q + 34)
Let -q**4/2 - 31*q**3 - 144*q**2 - 81*q + 513/2 = 0. What is q?
-57, -3, 1
Find g such that -2*g**3/5 - 1728*g**2/5 + 24504*g/5 - 14048 = 0.
-878, 4, 10
Find m, given that 2*m**2 + 3128*m + 115976 = 0.
-1526, -38
Factor 1600*g**2 + 1840*g + 529.
(40*g + 23)**2
Determine i, given that 2*i**3/3 + 10396*i**2/3 + 463858*i/3 + 453464/3 = 0.
-5153, -44, -1
Solve -v**2 - 1242*v - 74277 = 0.
-1179, -63
Factor 2*l**3 + 16590*l**2 + 34478046*l + 308960082.
2*(l + 9)*(l + 4143)**2
Solve -p**4/4 - 51541*p**3/4 - 166036110*p**2 - 166023225*p = 0 for p.
-25770, -1, 0
Factor 2*l**4 - 16396*l**3 + 98328*l**2 - 196624*l + 131072.
2*(l - 8192)*(l - 2)**3
Determine v, given that -3*v**5 - 243*v**4 - 4866*v**3 - 32544*v**2 - 47520*v = 0.
-55, -12, -2, 0
Find s, given that 5*s**3 + 3520*s**2 - 384000*s = 0.
-800, 0, 96
Factor x**4 + 225*x**3 + 5223*x**2 + 9775*x + 4776.
(x + 1)**2*(x + 24)*(x + 199)
Determine j, given that j**3/3 - 172*j**2/3 + 3052*j - 51744 = 0.
42, 88
What is q in 5*q**2 - 8845*q + 2865170 = 0?
427, 1342
Solve 4*h**3 + 1104*h**2 + 78336*h + 295936 = 0.
-136, -4
Determine v, given that 28*v**4 - 25976*v**3 - 7452*v**2 + 25976*v + 7424 = 0.
-1, -2/7, 1, 928
Find t such that 404473682*t**4/5 - 405497594*t**3/5 + 204912*t**2 - 648*t/5 = 0.
0, 18/14221, 1
Solve i**2 - 517*i - 2084 = 0 for i.
-4, 521
Let -j**5/2 - 412*j**4 - 87648*j**3 - 1120257*j**2 + 11273985*j/2 - 4428675 = 0