n that 3*j**5 - 1269*j**4 + 51390*j**3 - 135300*j**2 - 295848*j + 381024 = 0.
-2, 1, 4, 42, 378
Determine k so that 8*k**2 - 37074982*k - 9268746 = 0.
-1/4, 4634373
Find x, given that 3*x**5/4 + 3063*x**4/4 - 46407*x**3/4 + 220353*x**2/4 - 81585*x = 0.
-1036, 0, 3, 5, 7
Let 5*n**4 - 8930*n**3 + 289560*n**2 - 552350*n + 271715 = 0. What is n?
1, 31, 1753
Factor 3*m**3/7 + 153*m**2 - 98955*m/7 - 14289.
3*(m - 77)*(m + 1)*(m + 433)/7
Factor -d**2 - 9694*d + 67907.
-(d - 7)*(d + 9701)
Find k such that 3*k**4/5 + 6837*k**3/5 + 176247*k**2/5 + 1156707*k/5 + 2068254/5 = 0.
-2253, -17, -6, -3
Determine v, given that -2*v**5/7 + 6042*v**4/7 + 887660*v**3/7 + 33590100*v**2/7 + 123062742*v/7 + 90354258/7 = 0.
-69, -3, -1, 3163
Let -5*b**3 - 199520*b**2 - 1987415345*b + 59802163350 = 0. Calculate b.
-19967, 30
Solve -4*m**2/3 + 26974280*m/3 - 45475736344900/3 = 0.
3371785
Find d, given that 4*d**5/5 - 16138*d**4/15 - 16306*d**3/15 + 209938*d**2/15 + 16294*d/15 - 12920 = 0.
-4, -1, 1, 3, 8075/6
Factor -2*x**2/3 + 212086*x/3 + 1131296.
-2*(x - 106059)*(x + 16)/3
Find h, given that -h**3/2 - 23450289*h**2/2 - 137479001820735*h/2 + 137479025271025/2 = 0.
-11725145, 1
Find l such that 10*l**5 + 17455*l**4 - 1218370*l**3 + 9791075*l**2 - 14848470*l = 0.
-1813, 0, 2, 7, 117/2
Determine j, given that 72*j**4 + 19022686*j**3 + 18494064*j**2 - 38573634*j + 1056812 = 0.
-264203, -2, 1/36, 1
Let -3*r**3 - 101764617*r**2 - 101764614*r = 0. Calculate r.
-33921538, -1, 0
Let -28*b**3 - 6675388*b**2 - 1045439744*b + 299242000 = 0. Calculate b.
-238250, -157, 2/7
Let -3*i**4 + 798*i**3 - 36699*i**2 - 79044*i + 114948 = 0. What is i?
-3, 1, 62, 206
Solve 2*x**3/17 - 11256*x**2/17 - 146606*x/17 - 338460/17 = 0 for x.
-10, -3, 5641
Suppose 5*r**5 + 385*r**4 + 9375*r**3 + 65015*r**2 - 207080*r - 2018100 = 0. Calculate r.
-31, -14, -6, 5
Determine x, given that -6*x**5/11 + 2730*x**4/11 - 417366*x**3/11 + 26435646*x**2/11 - 594832572*x/11 = 0.
0, 59, 87, 222
Let -4*z**2/3 + 1134752*z/3 + 29506256/3 = 0. What is z?
-26, 283714
Solve -s**2 - 35846879*s - 143387500 = 0 for s.
-35846875, -4
What is x in 296*x**3/7 - 141034*x**2/7 - 390304*x/7 + 15198 = 0?
-3, 1/4, 17731/37
Factor -8*l**3/11 + 3857542*l**2/11 + 964386*l/11.
-2*l*(l - 482193)*(4*l + 1)/11
Determine r so that -655*r**3 - 493035*r**2 + 135540*r = 0.
-753, 0, 36/131
Factor u**2 + 952*u - 1642113.
(u - 891)*(u + 1843)
Factor -x**2/8 - 45121*x/8 + 2776387.
-(x - 487)*(x + 45608)/8
Factor -3*h**3/7 + 24963*h**2/7 + 294585*h + 42376329/7.
-3*(h - 8403)*(h + 41)**2/7
Solve -n**5 + 726*n**4 + 15844*n**3 - 117414*n**2 + 100845*n = 0 for n.
-27, 0, 1, 5, 747
Let 2*g**3/15 + 34024*g**2/15 - 5426038*g/15 - 364004 = 0. What is g?
-17170, -1, 159
Factor 3*x**3 + 5592*x**2 + 175188*x - 1253088.
3*(x - 6)*(x + 38)*(x + 1832)
Determine j, given that 2*j**3/7 + 4923372*j**2/7 + 432847041102*j - 24239749398544/7 = 0.
-1230847, 8
Factor -4*o**3 + 1578584*o**2 + 176851584*o.
-4*o*(o - 394758)*(o + 112)
Let -5*c**2 - 1534540*c + 26088625 = 0. Calculate c.
-306925, 17
Let 5*h**3 + 220*h**2 - 79175*h - 4410250 = 0. What is h?
-115, -59, 130
Determine j, given that 2*j**3/3 - 804224*j**2/3 + 804218*j = 0.
0, 3, 402109
Factor w**3/5 + 3564*w**2 - 178276*w/5 + 85584.
(w - 6)*(w - 4)*(w + 17830)/5
Factor 5*i**3 - 5749330*i**2 - 5749335*i.
5*i*(i - 1149867)*(i + 1)
Factor o**2/11 + 1128904*o/11 + 2976125.
(o + 29)*(o + 1128875)/11
Let k**2/4 + 2459*k/4 - 12272125/2 = 0. Calculate k.
-6334, 3875
Suppose -6*u**3 - 5314*u**2 - 1178364*u - 783216 = 0. Calculate u.
-444, -441, -2/3
Let -2*z**2/15 - 181254544*z/15 - 4106651215080992/15 = 0. What is z?
-45313636
Let 24*g**5 + 723*g**4 - 8355*g**3 + 4620*g**2 + 33036*g - 30048 = 0. What is g?
-313/8, -2, 1, 2, 8
Suppose 3*p**5 + 5742*p**4 + 158913*p**3 + 923298*p**2 + 1969740*p + 1425816 = 0. What is p?
-1886, -21, -3, -2
What is a in -4221892*a**4 - 1013254088*a**3/5 - 13108975044*a**2/5 - 22333813648*a/5 - 8464/5 = 0?
-23, -2, -2/5277365
Solve -x**4/3 + 1325*x**3/3 + 51839*x**2/3 - 20367*x - 106314 = 0.
-39, -2, 3, 1363
Factor -3*d**2 - 813*d + 6771636.
-3*(d - 1373)*(d + 1644)
Factor -v**4 + 32246*v**3 - 346944780*v**2 + 1249210513096*v - 39620520552704.
-(v - 10738)**3*(v - 32)
What is h in 165*h**3 - 916351910*h**2 + 1272273946414560*h + 77107515269760 = 0?
-2/33, 2776824
Factor -f**2/2 - 6386682*f - 20394853484562.
-(f + 6386682)**2/2
Factor 5*l**3 - 11559315*l**2 + 6680951739240*l - 73489070461180.
5*(l - 1155926)**2*(l - 11)
Solve 3*z**5 + 4275*z**4 + 21291*z**3 - 12819*z**2 - 55350*z + 42600 = 0.
-1420, -5, -2, 1
What is g in 4*g**5 + 574940*g**4 + 27540965544*g**3 + 439415818497272*g**2 - 12324503182821548*g + 11885059822783788 = 0?
-47921, 1, 27
Factor -98*f**3/9 + 436514*f**2 - 13124249968*f/3 + 803523872/9.
-2*(f - 20044)**2*(49*f - 1)/9
Suppose -3*r**5 + 2259*r**4 - 579966*r**3 + 62769174*r**2 - 2483385471*r + 2421194007 = 0. What is r?
1, 131, 359
Let 6*p**4/5 - 3406*p**3/5 + 33694*p**2 - 105138*p/5 - 55404 = 0. Calculate p.
-1, 5/3, 54, 513
Factor -22*v**2/3 - 1261882*v/3 - 114716.
-2*(v + 57358)*(11*v + 3)/3
Factor -2*x**3/3 + 79096*x**2/3 + 2770810*x/3.
-2*x*(x - 39583)*(x + 35)/3
Suppose 5*h**5 + 54495*h**4 - 4115655*h**3 - 4442555*h**2 + 21014070*h - 12510360 = 0. What is h?
-10974, -3, 1, 76
Find w such that 2*w**3 + 422*w**2 - 4008*w - 399168 = 0.
-216, -28, 33
Factor r**2/4 - 47853*r/4 + 143523.
(r - 47841)*(r - 12)/4
Suppose 2*v**3/7 - 4891634*v**2/7 + 2990993277952*v/7 + 2991027519488 = 0. What is v?
-7, 1222912
Find z such that 4*z**5 - 30170592*z**4 + 75855385135868*z**3 - 63572274331560348192*z**2 - 75855385135872*z + 63572274331590518784 = 0.
-1, 1, 2514216
Solve -a**2 - 192304*a - 192303 = 0 for a.
-192303, -1
Let 2*q**2 + 1584*q + 313182 = 0. Calculate q.
-411, -381
Determine i so that -13*i**3/3 - 553009*i**2/3 - 85078*i/3 = 0.
-42539, -2/13, 0
Solve -2*o**5/15 + 18994*o**4/15 - 46131506*o**3/15 + 1627654418*o**2/5 + 5021528772*o/5 = 0.
-3, 0, 114, 4693
Factor -n**4/5 - 10868*n**3/5 - 36966384*n**2/5 - 29624383152*n/5 + 33386679812304/5.
-(n - 598)*(n + 3822)**3/5
Suppose 2*x**3 + 280314808*x**2 + 9822048948009608*x = 0. Calculate x.
-70078702, 0
Factor -4*a**2 + 912900*a - 64795736.
-4*(a - 228154)*(a - 71)
Factor -273*k**4/4 - 16369*k**3/2 - 326940*k**2 - 4341600*k + 352000.
-(k + 40)**3*(273*k - 22)/4
Solve -9*n**4/8 - 65667*n**3/8 + 2951217*n**2/8 + 991035*n/8 = 0.
-7341, -1/3, 0, 45
Factor 2*v**2 + 29892712*v + 111696778839368.
2*(v + 7473178)**2
Determine w, given that 4*w**3 - 2832*w**2 + 89228*w - 86400 = 0.
1, 32, 675
Factor 351*m**2 + 189191*m + 1078.
(m + 539)*(351*m + 2)
Find w such that -141*w**3/5 + 64104*w**2/5 + 141*w/5 - 64104/5 = 0.
-1, 1, 21368/47
Let 3*z**4/4 + 21*z**3 + 411*z**2/4 + 165*z/2 = 0. What is z?
-22, -5, -1, 0
Suppose o**2 + 938200*o + 2814591 = 0. What is o?
-938197, -3
Factor 92592*o**2 - 32592383*o - 352.
(o - 352)*(92592*o + 1)
Suppose 3*n**5 - 13333*n**4 - 35599*n**3 + 102209*n**2 + 320148*n + 160092 = 0. Calculate n.
-3, -2, -2/3, 3, 4447
Factor 2*j**3 + 524224*j**2 + 28303722*j + 382080564.
2*(j + 27)**2*(j + 262058)
Factor a**4/5 + 1484*a**3/5 + 631158*a**2/5 + 59800748*a/5 + 1623848209/5.
(a + 59)**2*(a + 683)**2/5
Let -468*s**5/7 + 1888*s**4/7 + 70660*s**3/7 - 74656*s**2/7 - 880*s = 0. What is s?
-11, -1/13, 0, 10/9, 14
Find x, given that 5*x**4 - 12266545*x**3 + 7523412445090*x**2 - 7523326579340*x - 45140401071480 = 0.
-2, 3, 1226654
Solve -14*c**4/3 + 116092*c**3/3 - 11729902*c**2/3 + 14922584*c/3 - 1102920 = 0 for c.
2/7, 1, 101, 8190
Let v**2/6 - 1549*v/2 - 18684 = 0. What is v?
-24, 4671
Factor j**4/4 - 67*j**3/2 + 3721*j**2/4 - 3201*j.
j*(j - 97)*(j - 33)*(j - 4)/4
Factor 3*r**2/4 - 5631837*r/2 + 78845130.
3*(r - 3754530)*(r - 28)/4
Determine l so that 4*l**4 + 94124*l**3 + 4885104*l**2 + 34563904*l + 66116864 = 0.
-23479, -44, -4
Let b**4 + 1135*b**3 - 329052*b**2 + 1302556*b - 1298000 = 0. Calculate b.
-1375, 2, 236
Let -3*h**2/8 + 1257*h/4 + 43920 = 0. Calculate h.
-122, 960
Suppose 2*h**2/9 + 20507728*h/9 = 0. What is h?
-10253864, 0
Suppose -v**2/2 + 2801243*v + 5602487/2 = 0. Calculate v.
-1, 5602487
What is v in -8*v**4/9 + 21146*v**3/3 - 14028894*v**2 + 219289026*v - 156578490 = 0?
3/4, 15, 3957
Determine r, gi