 0 for k.
768585
Solve -2*r**2 - 274*r + 42780 = 0.
-230, 93
Determine o so that -3*o**5 - 1164*o**4 + 10692*o**3 - 10842*o**2 - 48705*o + 50022 = 0.
-397, -2, 1, 3, 7
Factor -2*b**2 - 9396*b - 177802.
-2*(b + 19)*(b + 4679)
Factor 4*a**2 - 18820*a + 206536.
4*(a - 4694)*(a - 11)
Factor 12*i**3 + 54903*i**2 + 13725*i.
3*i*(i + 4575)*(4*i + 1)
Find j such that -j**5/2 + 269*j**4/2 - 1319*j**3/2 - 269*j**2/2 + 660*j = 0.
-1, 0, 1, 5, 264
Determine w, given that 4*w**4 - 61488*w**3 - 61496*w**2 + 61488*w + 61492 = 0.
-1, 1, 15373
Factor g**3 - 1296*g**2 + 9035*g - 15468.
(g - 1289)*(g - 4)*(g - 3)
Find w such that 14*w**3/19 + 287158*w**2/19 + 369184*w/19 + 82040/19 = 0.
-20510, -1, -2/7
Solve 5*k**2 + 465*k + 10030 = 0 for k.
-59, -34
Factor -s**2/2 - 2073*s/2 - 14413.
-(s + 14)*(s + 2059)/2
Determine i, given that -2*i**2/5 - 1604*i/5 - 1594 = 0.
-797, -5
Determine t so that -5*t**4 - 965*t**3 - 46585*t**2 - 86515*t + 134070 = 0.
-109, -82, -3, 1
Factor -y**2/5 - 284*y/5 - 843/5.
-(y + 3)*(y + 281)/5
Suppose -32*j**2 - 28464*j - 21330 = 0. Calculate j.
-3555/4, -3/4
Determine n so that n**2 + 62*n - 195 = 0.
-65, 3
Factor -5*t**2 + 324020*t - 324015.
-5*(t - 64803)*(t - 1)
Solve 13*r**3/3 - 1675*r**2/3 + 10844*r/3 + 1708/3 = 0 for r.
-2/13, 7, 122
Determine f so that 3*f**4/7 - 270*f**3/7 - 336*f**2 = 0.
-8, 0, 98
Determine v so that 3*v**4/2 - 379*v**3/2 + 501*v**2/2 - 125*v/2 = 0.
0, 1/3, 1, 125
Let 998370409*z**4/4 + 998307215*z**3 + 998117637*z**2 - 252760*z + 16 = 0. Calculate z.
-2, 4/31597
Solve d**2/6 + 48761*d/6 - 8127 = 0 for d.
-48762, 1
Factor 2*f**3 - 5568*f**2 - 11142*f - 5572.
2*(f - 2786)*(f + 1)**2
Let 1146717*u**4 - 995247*u**3 - 144846*u**2 - 6528*u - 96 = 0. What is u?
-2/39, -4/99, 1
Suppose c**2/4 + c = 0. What is c?
-4, 0
Let -4*i**3/7 + 3764*i**2/7 - 860508*i/7 - 11831508/7 = 0. What is i?
-13, 477
Factor 2*i**3/3 - 14008*i**2/3 + 24681370*i/3 - 536231564/3.
2*(i - 3491)**2*(i - 22)/3
Factor -o**2/7 + 872*o/7 - 175935/7.
-(o - 555)*(o - 317)/7
Factor -4*z**3 - 4376*z**2 - 822292*z.
-4*z*(z + 241)*(z + 853)
Solve -m**5 + 233*m**4/2 - 6695*m**3/2 - 2171*m**2 + 13406*m + 6820 = 0 for m.
-2, -1/2, 2, 55, 62
Let 19*g**2/2 - 159389*g/2 - 8389 = 0. Calculate g.
-2/19, 8389
Factor v**4/5 + 112*v**3/5 + 429*v**2/5 - 342*v/5 - 1944/5.
(v - 2)*(v + 3)**2*(v + 108)/5
Determine y, given that 5*y**2 - 739290*y + 27327485205 = 0.
73929
Let 11836*s**2/3 - 27612*s - 112/3 = 0. Calculate s.
-4/2959, 7
Factor 6*w**3 - 331*w**2 - 2172*w - 1835.
(w + 1)*(w + 5)*(6*w - 367)
Solve -w**2/3 + 9344*w/3 - 21827584/3 = 0.
4672
Solve 3*o**2/7 - 50457*o/7 + 50454/7 = 0 for o.
1, 16818
Factor -k**2/8 + 37823*k/8 + 56739/4.
-(k - 37826)*(k + 3)/8
Factor -158*f**3/15 - 604*f**2/5 - 312*f + 1008/5.
-2*(f + 6)**2*(79*f - 42)/15
Factor 2*s**2/11 - 2394*s/11 + 2392/11.
2*(s - 1196)*(s - 1)/11
Let -n**5/6 - 2*n**4/3 + 89*n**3/6 - 14*n**2 = 0. Calculate n.
-12, 0, 1, 7
Suppose 3*c**2 - 70938*c + 419349987 = 0. Calculate c.
11823
Find o such that -128621115*o**3 - 36883080*o**2 - 38375*o - 10 = 0.
-2/7, -1/1917
Determine n so that 4*n**4 - 144*n**3 + 812*n**2 = 0.
0, 7, 29
What is q in -7815*q**2 + 109416*q - 84 = 0?
2/2605, 14
Suppose a**2/5 + 45306*a/5 + 513158409/5 = 0. What is a?
-22653
Solve 2*v**2/3 - 2*v/3 - 9048 = 0 for v.
-116, 117
Solve 332*s**3 + 836*s**2 - 3800*s + 1600 = 0 for s.
-5, 40/83, 2
Solve -2*n**2/7 + 1773488*n/7 - 393157460768/7 = 0.
443372
Determine a so that -3*a**5/2 - 42483*a**4 - 601686699*a**3/2 - 601219446*a**2 + 2105138880*a - 1203033600 = 0.
-14160, -4, 1
Solve 198*b**2 + 5*b = 0.
-5/198, 0
Factor -2*b**3/5 - 839*b**2/5 + 1457*b + 3852/5.
-(b - 9)*(b + 428)*(2*b + 1)/5
Suppose 45*h**5 - 4233*h**4 - 31899*h**3 + 39069*h**2 + 1866*h - 4848 = 0. Calculate h.
-8, -1/3, 2/5, 1, 101
Factor -2*w**2/7 - 14032*w/7 - 24612128/7.
-2*(w + 3508)**2/7
Find u, given that 5*u**2/3 - 19745*u/3 - 32950 = 0.
-5, 3954
Factor 2*x**2/13 - 20688*x/13 + 41368/13.
2*(x - 10342)*(x - 2)/13
Find v, given that -15*v**4 + 17943*v**3 + 250929*v**2 - 555627*v + 286770 = 0.
-79/5, 1, 1210
Factor 3*z**3 - 303*z**2 + 8520*z - 73200.
3*(z - 61)*(z - 20)**2
Find s such that 5*s**2 + 75*s - 6020 = 0.
-43, 28
Factor 4*r**4/9 - 22940*r**3 + 206452*r**2/3 - 619348*r/9 + 68816/3.
4*(r - 51612)*(r - 1)**3/9
Solve -u**3/8 - 4*u**2 + 17*u/2 = 0.
-34, 0, 2
Let 6*g**5 - 5224*g**4 - 1742*g**3 = 0. What is g?
-1/3, 0, 871
Find q such that 281*q**2/6 - 15642*q - 334/3 = 0.
-2/281, 334
Find z, given that -2*z**2 - 1876584*z - 440195938632 = 0.
-469146
Factor 12*f**2 - 54759*f + 68430.
3*(f - 4562)*(4*f - 5)
Suppose -z**5 + 142*z**4 - 169*z**3 - 15652*z**2 + 12544*z + 439040 = 0. Calculate z.
-7, 8, 140
Factor 4*d**2 + 5888*d + 29340.
4*(d + 5)*(d + 1467)
Factor -5*g**2 + 91770*g - 421086645.
-5*(g - 9177)**2
Let -b**4 + 67*b**3 + 43*b**2 - 2839*b - 2814 = 0. What is b?
-6, -1, 7, 67
Factor -r**5/7 + 66*r**4/7 - 129*r**3/7 + 64*r**2/7.
-r**2*(r - 64)*(r - 1)**2/7
Factor 3*n**2/7 + 2040*n/7 - 335787/7.
3*(n - 137)*(n + 817)/7
Let l**2 + 6168*l + 6167 = 0. What is l?
-6167, -1
Factor -2*s**2/17 - 26016*s/17 + 104096/17.
-2*(s - 4)*(s + 13012)/17
Factor u**3/10 - 6241*u**2/5 + 74838*u/5 - 44892.
(u - 12470)*(u - 6)**2/10
Determine s so that s**2 - 33830*s + 286117225 = 0.
16915
Solve -2*d**4 - 298*d**3 - 876*d**2 = 0 for d.
-146, -3, 0
Let 4*k**4 - 11216*k**3 + 78248*k**2 + 190160*k + 100692 = 0. What is k?
-1, 9, 2797
Determine n, given that -n**3 + 913*n**2 - 9039*n + 8127 = 0.
1, 9, 903
Factor -l**3/8 - 253*l**2/4 - 57505*l/8 + 210675.
-(l - 24)*(l + 265)**2/8
Factor -5*f**5 - 110*f**4 - 720*f**3 - 1550*f**2 - 1355*f - 420.
-5*(f + 1)**3*(f + 7)*(f + 12)
Factor -3*m**2 - 1782*m + 5373.
-3*(m - 3)*(m + 597)
Suppose g**3 + 65*g**2 + 1200*g + 4500 = 0. What is g?
-30, -5
What is c in 4*c**4 - 124*c**3 + 1220*c**2 - 4004*c + 4056 = 0?
2, 3, 13
Factor -2*i**2 + 18640*i - 130382.
-2*(i - 9313)*(i - 7)
Determine g, given that -g**2 - 34658*g = 0.
-34658, 0
Suppose 3*u**4/7 + 927*u**3/7 - 9*u**2/7 - 2775*u/7 + 1854/7 = 0. What is u?
-309, -2, 1
Find i such that -4*i**3 - 164432*i**2 + 4*i + 164432 = 0.
-41108, -1, 1
Let -3*t**2 - 306267*t = 0. What is t?
-102089, 0
Solve 3*b**2 - 69378*b - 69381 = 0 for b.
-1, 23127
Factor -45*y**3 - 38145*y**2 + 50920*y - 16980.
-5*(y + 849)*(3*y - 2)**2
Let y**2/3 + 805*y/3 - 13648 = 0. Calculate y.
-853, 48
Find x, given that 2*x**4/13 + 16768*x**3/13 - 50316*x**2/13 + 50320*x/13 - 16774/13 = 0.
-8387, 1
Determine x, given that -x**3/5 - 114*x**2/5 + 2661*x/5 - 2546/5 = 0.
-134, 1, 19
Suppose 3*c**2/4 - 1064637*c + 377817313923 = 0. What is c?
709758
Find n such that -2*n**4 - 4*n**3 + 30*n**2 = 0.
-5, 0, 3
Determine v so that -2*v**5/15 + 152*v**4/15 + 592*v**3/3 + 18292*v**2/15 + 15174*v/5 + 2604 = 0.
-7, -5, -3, -2, 93
Find k such that 5*k**4/6 - 2945*k**3/3 - 41435*k**2/6 - 23740*k/3 + 15800 = 0.
-4, 1, 1185
What is h in -h**2/6 - 277991*h/3 - 77278996081/6 = 0?
-277991
Let -2*s**4 - 414*s**3 - 7020*s**2 - 41256*s - 81648 = 0. What is s?
-189, -6
Factor -y**2 - 2234*y + 317312.
-(y - 134)*(y + 2368)
Factor -2*a**2/9 - 190*a/9 + 856/3.
-2*(a - 12)*(a + 107)/9
Suppose 4*k**2 + 251400*k - 251404 = 0. Calculate k.
-62851, 1
Determine i so that 3*i**5 + 7420*i**4 - 27232*i**3 + 37146*i**2 - 22291*i + 4954 = 0.
-2477, 2/3, 1
Factor -2*y**2 + 5708*y - 107730.
-2*(y - 2835)*(y - 19)
Suppose -18*s**5 + 12927486*s**4 - 8618318*s**3 + 1436386*s**2 = 0. What is s?
0, 1/3, 718193
What is j in -5*j**4 + 118090*j**3 - 354240*j**2 + 354230*j - 118075 = 0?
1, 23615
Factor 3*u**2/2 - 1281*u/2 - 30315.
3*(u - 470)*(u + 43)/2
Let 2*y**2 + 3462*y + 187600 = 0. Calculate y.
-1675, -56
Factor 2*g**4/3 - 394*g**3/3 + 7130*g**2 - 63426*g.
2*g*(g - 93)**2*(g - 11)/3
Determine s, given that 3*s**2/2 + 12156*s + 24628056 = 0.
-4052
Determine i so that 3*i**5 - 9405*i**4 + 8315322*i**3 - 1428982470*i**2 - 8315325*i + 1428991875 = 0.
-1, 1, 225, 1455
Determine n, given that 3*n**2/5 - 134928*n - 674643/5 = 0.
-1, 224881
Factor -2*r**2/13 + 33232*r/13 - 5112.
-2*(r - 16614)*(r - 2)/13
Determine n so that n**2/5 + 5427*n/5 + 70382/5 = 0.
-5414, -13
Find m, given that -3*m**3 - 38733*m**2 - 77457*m - 38727 = 0.
-12909, -1
Let 2*j**4/13 + 62*j**3/13 - 7066*j**2/13 - 244494*j