given that 10*c**4/7 - 2696*c**3/7 + 158190*c**2/7 + 393128*c/7 + 18824 = 0.
-2, -2/5, 91, 181
Find k, given that -5*k**5 - 20*k**4 + 55*k**3 + 150*k**2 = 0.
-5, -2, 0, 3
Factor x**3/2 - 122833*x**2/2.
x**2*(x - 122833)/2
Solve -v**4 - 82*v**3 - 2141*v**2 - 18428*v - 38148 = 0.
-34, -11, -3
Factor 2172603*l**4 + 1947939*l**3 - 218856*l**2 + 5808*l.
3*l*(l + 1)*(851*l - 44)**2
Let 125*x**2 + 8910*x + 3544 = 0. What is x?
-1772/25, -2/5
Factor 3*m**3 - 681*m**2 + 2661*m + 3345.
3*(m - 223)*(m - 5)*(m + 1)
Let 2*o**4/11 - 14*o**3/11 + 10*o**2/11 + 62*o/11 - 60/11 = 0. Calculate o.
-2, 1, 3, 5
Let 3*f**5/7 + 15*f**4/7 - 732*f**3/7 + 732*f**2 - 13536*f/7 + 1728 = 0. What is f?
-21, 2, 4, 6
Factor -p**4 - 938*p**3 - 184733*p**2 + 17071820*p - 33397188.
-(p - 66)*(p - 2)*(p + 503)**2
Factor 2*b**3 - 82*b**2 + 718*b - 638.
2*(b - 29)*(b - 11)*(b - 1)
Find i such that -4*i**3 + 1220*i**2 - 88608*i - 681408 = 0.
-7, 156
Determine r so that -r**3 - 32*r**2 - 208*r - 384 = 0.
-24, -4
What is k in 28*k**5 - 5400*k**4 + 314364*k**3 - 5174272*k**2 + 22799040*k + 33292800 = 0?
-8/7, 12, 85
Determine g so that 17*g**4/7 - 4054*g**3/7 + 246620*g**2/7 - 83544*g = 0.
0, 42/17, 118
Factor 4*t**2 + 89408*t.
4*t*(t + 22352)
Let -84*k**2 - 10648*k - 3540 = 0. What is k?
-885/7, -1/3
Factor -5*f**2 - 31605*f.
-5*f*(f + 6321)
Factor 3*b**5/7 + 156*b**4/7 + 2595*b**3/7 + 11826*b**2/7 - 32076*b/7 + 17496/7.
3*(b - 1)**2*(b + 18)**3/7
Suppose 5*v**3 - 525*v**2 - 11270*v + 24600 = 0. What is v?
-20, 2, 123
Solve -2*m**4/11 - 277744*m**3/11 - 9642438444*m**2/11 + 19285710128*m/11 - 9642993938/11 = 0 for m.
-69437, 1
Solve -4*c**4 - 1144*c**3 + 2300*c**2 - 1152*c = 0.
-288, 0, 1
Find f such that 39*f**5 - 14268*f**4/7 - 4416*f**3/7 = 0.
-4/13, 0, 368/7
Factor i**2/2 + 696239*i/6 + 232079/3.
(i + 232079)*(3*i + 2)/6
Solve 2*b**2/11 - 1548*b/11 + 18288/11 = 0 for b.
12, 762
Determine o, given that 2*o**5/17 + 54*o**4/17 - 434*o**3/17 - 374*o**2 - 1104*o - 12896/17 = 0.
-31, -4, -1, 13
Factor 4*j**3 + 220*j**2 + 2584*j.
4*j*(j + 17)*(j + 38)
Factor -150*u**2 - 3502*u.
-2*u*(75*u + 1751)
Solve 2908*a**3 + 127950*a**2 + 1407384*a - 968 = 0 for a.
-22, 1/1454
Suppose -2*g**4/13 - 1090*g**3/13 - 1086*g**2/13 + 1090*g/13 + 1088/13 = 0. Calculate g.
-544, -1, 1
Factor 5*f**2/2 - 2015*f + 12045/2.
5*(f - 803)*(f - 3)/2
Suppose 4*c**3 + 60*c**2 - 37636*c + 186180 = 0. What is c?
-107, 5, 87
Let -f**4/7 - 361*f**3/7 + 12*f**2/7 + 4316*f/7 - 5776/7 = 0. What is f?
-361, -4, 2
Determine z so that -242*z**2 + 2464*z - 6272 = 0.
56/11
Factor -s**2/4 - 263*s/2 - 32305/4.
-(s + 71)*(s + 455)/4
Factor d**2 - 147323*d + 147322.
(d - 147322)*(d - 1)
Solve -35*z**3 - 1465*z**2 - 2590*z + 400 = 0 for z.
-40, -2, 1/7
What is x in 4*x**5 + 144*x**4 + 220*x**3 - 1920*x**2 - 5264*x - 3264 = 0?
-34, -3, -2, -1, 4
Solve 4*h**2 - 97768*h + 597411364 = 0 for h.
12221
Find f such that 3*f**5 + 87*f**4 + 855*f**3 + 3105*f**2 + 1782*f - 5832 = 0.
-12, -9, -6, -3, 1
Find z such that 4*z**3/3 - 368*z**2/3 + 2560*z + 12288 = 0.
-4, 48
Suppose 5*d**5 - 3240*d**4 + 308560*d**3 = 0. What is d?
0, 116, 532
Factor 2*a**3/5 + 5208*a**2/5 + 3507018*a/5 + 150497372/5.
2*(a + 46)*(a + 1279)**2/5
Solve 5*z**3 - 2120*z**2 - 37675*z + 83790 = 0 for z.
-19, 2, 441
Factor n**5/5 - 141*n**4/5 - 1168*n**3/5 - 3544*n**2/5 - 4752*n/5 - 2384/5.
(n - 149)*(n + 2)**4/5
Suppose 56*j**2/9 + 300833*j/9 + 5372/9 = 0. What is j?
-5372, -1/56
Factor 10*t**2 - 8001*t + 8789.
(t - 799)*(10*t - 11)
Solve w**3/3 - 56420*w**2/3 + 265230416*w + 1061222592 = 0.
-4, 28212
Suppose 13*j**5/8 - 9*j**4/2 + 7*j**3/8 + 9*j**2/2 - 5*j/2 = 0. What is j?
-1, 0, 10/13, 1, 2
Factor -4*c**2 - 620*c - 8400.
-4*(c + 15)*(c + 140)
Factor -4*y**3 + 1376*y**2 + 6980*y.
-4*y*(y - 349)*(y + 5)
Factor -3*f**2/4 + 963*f/4 + 41385.
-3*(f - 445)*(f + 124)/4
Suppose s**2 - 3625*s + 7246 = 0. Calculate s.
2, 3623
Factor -673445*k**2 - 154140*k - 8820.
-5*(367*k + 42)**2
Solve -v**4/8 - 701*v**3/8 + 4941*v**2/8 - 10611*v/8 + 1593/2 = 0.
-708, 1, 3
Factor -b**3/3 + 429465*b**2 - 138329924936*b - 414991063204/3.
-(b - 644198)**2*(b + 1)/3
Find m such that -m**2/7 - 2078*m/7 + 71808/7 = 0.
-2112, 34
Determine t so that 5*t**2/4 - 195*t - 1640 = 0.
-8, 164
Factor 2*b**3/9 + 180*b**2 - 3248*b/9.
2*b*(b - 2)*(b + 812)/9
Let 3*s**5 - 225*s**4 - 507*s**3 + 3477*s**2 - 864*s - 4620 = 0. Calculate s.
-5, -1, 2, 77
Let -2*l**3/5 + 138*l**2/5 + 180*l = 0. Calculate l.
-6, 0, 75
Suppose -15*h**2/2 + 3111*h - 591939/2 = 0. What is h?
739/5, 267
Factor -3*s**3 - 580227*s**2 - 28055571072*s - 28054990848.
-3*(s + 1)*(s + 96704)**2
Suppose -2*i**4/15 + 46346*i**3/15 - 92684*i**2/15 = 0. Calculate i.
0, 2, 23171
Factor -2*z**2/11 + 166*z/11 + 188.
-2*(z - 94)*(z + 11)/11
Solve -2*j**5 + 5466*j**4 - 21838*j**3 + 16374*j**2 = 0 for j.
0, 1, 3, 2729
Find q such that -q**3 + 188*q**2 + 380*q = 0.
-2, 0, 190
Factor o**3/7 - 9981*o**2/7 - 39936*o/7 - 39940/7.
(o - 9985)*(o + 2)**2/7
Determine v so that -3*v**2/2 + 45573*v/2 + 45579 = 0.
-2, 15193
What is p in -p**4/3 + 809*p**3/9 + 5224*p**2/9 + 1840*p/3 = 0?
-5, -4/3, 0, 276
Suppose 7*n**2 + 48616*n + 48609 = 0. What is n?
-48609/7, -1
Suppose 3*c**2 - 112083*c = 0. What is c?
0, 37361
Determine b so that 15*b**3 + 5075*b**2 - 29270*b - 10320 = 0.
-344, -1/3, 6
Let n**4 + 580*n**3 + 571*n**2 - 4644*n - 6948 = 0. What is n?
-579, -2, 3
Determine x, given that -x**2/4 - 31*x/4 + 33/2 = 0.
-33, 2
Factor 5*f**2 + 61785*f + 185310.
5*(f + 3)*(f + 12354)
Factor c**2 - 1107378*c + 306571508721.
(c - 553689)**2
Factor 2*q**3/13 - 8*q**2/13 - 394*q/13 + 2640/13.
2*(q - 11)*(q - 8)*(q + 15)/13
Factor i**2/3 - 772*i - 4636/3.
(i - 2318)*(i + 2)/3
What is n in -n**3 + 51*n**2 - 183*n - 235 = 0?
-1, 5, 47
What is c in -144*c**5/23 - 1166*c**4/23 + 1476*c**3/23 + 2778*c**2/23 + 208*c/23 - 72/23 = 0?
-9, -1, -2/9, 1/8, 2
Suppose -33*n**3 - 2865*n**2 - 2322*n = 0. What is n?
-86, -9/11, 0
Find b such that -2*b**3 + 32*b**2 - 120*b = 0.
0, 6, 10
Solve -2*y**3/11 - 5200*y**2/11 + 10408*y/11 = 0.
-2602, 0, 2
Find z such that 4*z**5 - 220*z**4 - 292*z**3 + 3724*z**2 + 4848*z - 8064 = 0.
-3, 1, 4, 56
What is v in 2*v**3/7 + 13162*v**2/7 + 170792*v/7 + 157632/7 = 0?
-6568, -12, -1
Suppose 24*m**4/5 - 37307*m**3/5 - 20217*m**2/5 + 622*m = 0. Calculate m.
-2/3, 0, 1/8, 1555
Factor -4*r**3 + 416*r**2 + 4*r - 416.
-4*(r - 104)*(r - 1)*(r + 1)
Factor -3*t**3 + 2079*t**2 - 452025*t + 31513125.
-3*(t - 343)*(t - 175)**2
Suppose -12*o**5 - 1364*o**4 - 45576*o**3 - 372664*o**2 - 213996*o + 114444 = 0. What is o?
-51, -11, -1, 1/3
Let 6*o**5/7 - 732*o**4 - 738*o**3 + 30780*o**2/7 = 0. What is o?
-3, 0, 2, 855
Factor -3*m**3/7 + 2466*m**2/7 + 503712*m/7 + 23185536/7.
-3*(m - 998)*(m + 88)**2/7
Suppose 20*r**2 - 62072*r - 24832 = 0. What is r?
-2/5, 3104
Factor -2*u**2 + 11370*u + 423428.
-2*(u - 5722)*(u + 37)
Factor -h**2 - 1248*h - 310415.
-(h + 343)*(h + 905)
Let -4*p**3 + 5904*p**2 - 332340*p + 4770152 = 0. Calculate p.
29, 1418
Find v such that -v**5 - 10*v**4 + 54*v**3 + 212*v**2 + 227*v + 78 = 0.
-13, -1, 6
Determine c so that -5*c**4/4 - 55*c**3/4 + 1475*c**2 + 7555*c + 9120 = 0.
-38, -3, -2, 32
Factor -2*i**3/3 + 2284*i**2/3 - 25830*i.
-2*i*(i - 1107)*(i - 35)/3
Let -y**3/5 - 134*y**2/5 + 213*y + 10998/5 = 0. Calculate y.
-141, -6, 13
Factor 5*g**4 - 563*g**3 - 12766*g**2 - 5016*g.
g*(g - 132)*(g + 19)*(5*g + 2)
Factor -5*w**2 - 49865*w - 99710.
-5*(w + 2)*(w + 9971)
Let 18605*a**3 - 740540*a**2 - 146220*a - 7200 = 0. What is a?
-6/61, 40
Factor 7*l**2 + 4632*l - 1324.
(l + 662)*(7*l - 2)
Factor -2*q**2 - 7870*q + 15748.
-2*(q - 2)*(q + 3937)
Determine f so that 3*f**3/2 - 207*f**2 + 1584*f + 441408 = 0.
-38, 88
Suppose u**2 - 3*u - 18630 = 0. Calculate u.
-135, 138
Factor 2*t**3/7 + 550*t**2/7 - 10778*t/7 - 67390/7.
2*(t - 23)*(t + 5)*(t + 293)/7
What is o in 4*o**3 + 11368*o**2 + 933744*o + 19460448 = 0?
-2758, -42
Determine b, given that -4*b**5 + 7408*b**4 - 3429892*b**3 - 22232*b**2 + 10304528*b - 6859808 = 0.
-2, 1, 926
Let 24*j**3 + 1395*j**2 - 7386*j - 945 = 0. Calculate j.
-63, -1/8, 5
Determine h so that 5*h**2 - 46360*h + 107462480 = 0.
4636
Let 5*i**3 + 81975*i**2 + 336036015*i + 335954045 = 0. Calculate i.
-8197, -1
Find t such that -704*t**3 + 1278