.
-12122, -2, 2/11
Solve 2864185298*j**3/5 + 4582635928*j**2 - 2421944*j/5 + 64/5 = 0 for j.
-8, 2/37843
Let 2*o**2/9 + 1238*o/9 + 20764 = 0. What is o?
-358, -261
What is d in 2*d**2/11 - 375644*d/11 + 17638551842/11 = 0?
93911
Factor k**3/3 - 719*k**2/3 + 2863*k/3 - 715.
(k - 715)*(k - 3)*(k - 1)/3
Factor m**5/2 - 123*m**4 + 484*m**3.
m**3*(m - 242)*(m - 4)/2
Let -3*r**2 + 1126002*r - 105656708667 = 0. What is r?
187667
Let -z**3 - 23*z**2 - 100*z + 300 = 0. Calculate z.
-15, -10, 2
Determine n so that -3*n**2/4 + 240*n + 30363/4 = 0.
-29, 349
Let -y**4/4 + 33*y**3 + 1115*y**2/4 + 357*y/2 - 490 = 0. What is y?
-7, -2, 1, 140
Determine n so that 2*n**3/5 + 36*n**2 + 3864*n/5 - 8464/5 = 0.
-46, 2
Solve -6*i**5 - 117*i**4 - 375*i**3 + 531*i**2 + 1245*i + 450 = 0 for i.
-15, -5, -1, -1/2, 2
What is c in 3*c**2/5 - 60*c + 7068/5 = 0?
38, 62
Determine o, given that 4*o**2 + 54548*o + 599544 = 0.
-13626, -11
Find k such that -5*k**4 - 6950*k**3 + 140615*k**2 - 544060*k - 1706100 = 0.
-1410, -2, 11
Let -3*w**4/8 - 45*w**3/8 - 57*w**2/4 + 54*w = 0. Calculate w.
-9, -8, 0, 2
Determine i so that i**3/8 + 125*i**2/4 - 1281*i/8 - 765/4 = 0.
-255, -1, 6
Factor -n**3/8 - 166*n**2 - 3971*n/8 + 1325/2.
-(n - 1)*(n + 4)*(n + 1325)/8
Factor -2*n**2/7 - 268*n/7 + 29110/7.
-2*(n - 71)*(n + 205)/7
Find o such that 1107*o**2 + 194831*o/2 - 44 = 0.
-88, 1/2214
Let -5*h**3/2 + 221*h**2/4 - 19*h/4 - 33/2 = 0. Calculate h.
-1/2, 3/5, 22
Determine y so that 2*y**4 + 180*y**3 + 2730*y**2 + 2200*y - 5112 = 0.
-71, -18, -2, 1
Factor 5*g**2 - 1514710*g + 114717319205.
5*(g - 151471)**2
Find a such that 3*a**5 + 51*a**4 + 213*a**3 + 93*a**2 - 900*a - 1188 = 0.
-11, -3, -2, 2
Determine m so that 5*m**2 + 2745*m - 124110 = 0.
-591, 42
Solve -9*v**5/7 - 1095*v**4 + 17952*v**3/7 + 15336*v**2/7 - 30768*v/7 - 2928 = 0 for v.
-854, -1, -2/3, 2
Suppose -5*v**5 - 160*v**4 - 1305*v**3 + 2770*v**2 + 41600*v - 81120 = 0. Calculate v.
-13, -12, 2, 4
Let -5*q**3 - 815*q**2 - 12560*q - 21900 = 0. Calculate q.
-146, -15, -2
Let -3*t**4/5 + 17667*t**3/5 + 53022*t**2/5 + 35352*t/5 = 0. Calculate t.
-2, -1, 0, 5892
Suppose 2*n**5/9 + 140*n**4/9 + 312*n**3 + 2484*n**2 + 6966*n = 0. What is n?
-43, -9, 0
Factor -l**3/2 + 8*l**2 + 46*l - 120.
-(l - 20)*(l - 2)*(l + 6)/2
Let 10768*q**3 + 32332*q**2 + 21620*q + 56 = 0. What is q?
-2, -1, -7/2692
Solve -4*l**3/9 - 3766*l**2/3 - 16940*l/9 - 1882/3 = 0.
-2823, -1, -1/2
Solve 5*o**3 - 600*o**2 + 18285*o - 17690 = 0 for o.
1, 58, 61
What is r in 10*r**5 - 368*r**4 + 14988*r**3/5 + 35696*r**2/5 + 18818*r/5 = 0?
-1, 0, 97/5
Determine n, given that 981*n**2 - 22557*n - 138 = 0.
-2/327, 23
What is j in -2*j**4/7 - 50*j**3/7 + 2472*j**2/7 - 2552*j - 2912 = 0?
-52, -1, 14
Determine x so that x**2 - 3444*x + 3443 = 0.
1, 3443
Let 10*p**4 + 2618*p**3 + 9676*p**2 - 33000*p + 6192 = 0. Calculate p.
-258, -6, 1/5, 2
Factor -2*s**2 + 1010*s + 8208.
-2*(s - 513)*(s + 8)
Factor -4*m**3 - 1164*m**2 + 34456*m + 35616.
-4*(m - 28)*(m + 1)*(m + 318)
Factor -t**3/6 - 373*t**2/3 - 703*t/6 + 5215.
-(t - 6)*(t + 7)*(t + 745)/6
Solve 27*v**3 + 210*v**2 - 1704*v - 4032 = 0 for v.
-12, -2, 56/9
Factor -3*a**3/4 - 29979*a**2/2 - 299580147*a/4.
-3*a*(a + 9993)**2/4
Suppose -n**5/6 - 71*n**4/6 - 415*n**3/2 + 215*n**2/6 + 1943*n/3 + 416 = 0. What is n?
-39, -32, -1, 2
Determine d so that -2*d**3/9 - 1478*d**2/3 - 1476*d = 0.
-2214, -3, 0
Factor -18*k**2 - 501*k - 930.
-3*(k + 2)*(6*k + 155)
Solve -5*f**3 - 240*f**2 + 4820*f - 19200 = 0.
-64, 6, 10
Determine d so that -3*d**2/5 - 63714*d/5 + 191169/5 = 0.
-21241, 3
Factor 2*b**2/5 - 31326*b.
2*b*(b - 78315)/5
Factor -2*b**4 + 178*b**3 - 854*b**2 + 1182*b - 504.
-2*(b - 84)*(b - 3)*(b - 1)**2
Factor -2*v**3/7 + 1546*v**2/7 - 7680*v/7.
-2*v*(v - 768)*(v - 5)/7
Factor 13*k**2/2 + 122628*k - 18866.
(k + 18866)*(13*k - 2)/2
Solve -2*j**5/9 - 10432*j**4/9 - 6048238*j**3/3 - 10535974988*j**2/9 - 20945145496*j/9 + 10499758544/3 = 0 for j.
-1738, -3, 1
Factor -h**2 - 1487*h/3 - 7360/3.
-(h + 5)*(3*h + 1472)/3
Solve 2*z**3 + 9158*z**2 - 9160*z = 0 for z.
-4580, 0, 1
Factor -1956*o**2 + 39112*o + 160.
-4*(o - 20)*(489*o + 2)
Factor -5*o**3 - 1525*o**2 - 22835*o + 82365.
-5*(o - 3)*(o + 19)*(o + 289)
Suppose 5*c**3 + 4955*c**2 + 39400*c + 78640 = 0. What is c?
-983, -4
Suppose 3*f**2 - 8220*f + 114492 = 0. Calculate f.
14, 2726
Suppose -5*o**5 + 1005*o**4 + 24895*o**3 - 81645*o**2 + 55750*o = 0. Calculate o.
-25, 0, 1, 2, 223
Factor 3*v**2/8 + 86445*v/4 + 2490912675/8.
3*(v + 28815)**2/8
Determine l so that 2*l**2 + 1254*l - 82440 = 0.
-687, 60
Determine j, given that j**3/8 - 120*j**2 - j/2 + 480 = 0.
-2, 2, 960
Factor 6*s**2/7 - 2826*s/7 - 8532/7.
6*(s - 474)*(s + 3)/7
Factor 2*q**2 - 27020*q + 91260050.
2*(q - 6755)**2
Factor -32*i**4 + 999912*i**3 - 10414833414*i**2 + 72318867421247*i/2.
-i*(4*i - 41663)**3/2
Factor 3*m**3/5 + 7803*m**2/5 + 1123632*m + 687662784/5.
3*(m + 153)*(m + 1224)**2/5
Find a such that 20*a**4 - 4825*a**3 + 12885*a**2 + 615880*a - 154700 = 0.
-10, 1/4, 13, 238
Let -6*m**2 + 35059*m/3 + 9740/3 = 0. Calculate m.
-5/18, 1948
Solve -2*t**2 + 516*t - 14464 = 0.
32, 226
Factor -228*n**3 + 8*n**2 + 912*n - 32.
-4*(n - 2)*(n + 2)*(57*n - 2)
Suppose 2*g**2 - 552*g + 18088 = 0. What is g?
38, 238
Factor -4*w**2/7 + 266744*w/7 - 4447022596/7.
-4*(w - 33343)**2/7
Factor -2*h**2 + 4622*h - 4620.
-2*(h - 2310)*(h - 1)
What is u in 2*u**3 + 4086*u**2 + 24454*u + 20370 = 0?
-2037, -5, -1
Factor -5*t**2 + 11870*t - 165200.
-5*(t - 2360)*(t - 14)
Factor 28*d**2 + 216*d - 1440.
4*(d + 12)*(7*d - 30)
Factor -2*i**4/3 + 68*i**3 - 2112*i**2 + 54208*i/3.
-2*i*(i - 44)**2*(i - 14)/3
Factor a**4/3 + 1562*a**3/3 + 259076*a**2 + 102817400*a/3 - 10190085632/3.
(a - 64)*(a + 542)**3/3
Suppose 121*t**2 - 2*t/3 = 0. What is t?
0, 2/363
Factor 3*u**3 + 4527*u**2 + 1723545*u + 11844021.
3*(u + 7)*(u + 751)**2
Let -4*l**2 + 157828*l + 157832 = 0. What is l?
-1, 39458
Factor 2*d**3/11 + 701728*d**2/11 + 1403450*d/11 + 701724/11.
2*(d + 1)**2*(d + 350862)/11
Factor 9*c**2 + 31107*c - 31116.
3*(c - 1)*(3*c + 10372)
Factor -2*f**2/5 + 25244*f/5 - 79657442/5.
-2*(f - 6311)**2/5
Factor 4*w**4 + 4432*w**3 + 781528*w**2 - 247159344*w + 12439833156.
4*(w - 87)**2*(w + 641)**2
Suppose s**5/8 + 13*s**4/2 - 37*s**3 - 297*s**2/4 + 1863*s/8 - 513/4 = 0. Calculate s.
-57, -3, 1, 6
Factor -4*v**3 + 4580*v**2 - 22704*v - 109440.
-4*(v - 1140)*(v - 8)*(v + 3)
Let -v**3/5 - 4521*v**2/5 - 5103072*v/5 + 15349932/5 = 0. Calculate v.
-2262, 3
Find m such that 2*m**2 + 248192*m + 7699908608 = 0.
-62048
Let -4*x**5/7 + 536*x**4/7 + 1136*x**3/7 - 6368*x**2/7 - 21632*x/7 - 17408/7 = 0. Calculate x.
-2, 4, 136
Let 72*r**5 + 8028*r**4 + 27460*r**3 + 26400*r**2 + 5168*r - 1728 = 0. What is r?
-108, -2, -1, -2/3, 1/6
Factor 2*o**3/7 - 2012*o**2/7 + 110192*o/7 - 30336.
2*(o - 948)*(o - 56)*(o - 2)/7
Factor w**2 + 7380*w - 7381.
(w - 1)*(w + 7381)
Determine h, given that -h**2/6 + 118*h/3 - 10675/6 = 0.
61, 175
Factor -l**2/3 + 27380*l/3 + 63903.
-(l - 27387)*(l + 7)/3
Factor 2290005316*l**2 - 191416*l + 4.
4*(23927*l - 1)**2
Factor -d**3 - 26660*d**2 + 26661*d.
-d*(d - 1)*(d + 26661)
Factor 60*h**2 - 6385*h - 13010.
5*(h + 2)*(12*h - 1301)
Determine z, given that 11*z**3/5 - 2796*z**2/5 - 7973*z/5 + 1542/5 = 0.
-3, 2/11, 257
Factor -w**2/11 + 132641*w/11 + 132642/11.
-(w - 132642)*(w + 1)/11
Determine m so that 3*m**2 + 6345*m = 0.
-2115, 0
Factor 2*m**3/11 - 87878*m**2/11 + 2108208*m/11 - 12647520/11.
2*(m - 43915)*(m - 12)**2/11
Find m, given that -2*m**3/3 - 134*m**2/3 + 4936*m/3 - 12160 = 0.
-95, 12, 16
Factor r**3/3 - 65*r**2/3 - 139*r - 213.
(r - 71)*(r + 3)**2/3
Factor 2*f**2/11 - 2425120*f/11 + 735150876800/11.
2*(f - 606280)**2/11
Find b such that -2*b**2/11 + 1202*b/11 - 100200/11 = 0.
100, 501
Factor -5*h**3 + 668*h**2 + 3771*h - 2502.
-(h - 139)*(h + 6)*(5*h - 3)
Let -2*s**3/3 + 1698*s**2 - 13552*s + 81248/3 = 0. Calculate s.
4, 2539
Solve -2*x**5/3 - 152*x**4/3 - 120*x**3 + 23900*x**2/3 - 66838*x/3 + 14484 = 0.
-71, -17, 1, 2, 9
Suppose -4*m**3 - 5648*m**2 + 11372*m + 84840 = 0. Calculate m.
-1414, -3, 5
Let 10*h**2 + 28425*h - 14215 = 0. What is h?
-2843, 1/2
What is r in -5*r**4/3 + 394*r**3/3 - 8281*r**2/3 + 19988*r/3 + 1444 = 0?
-1/5, 3, 38
Solve 4*l**4 - 180