k**4/2 + 1578*k**3 + 5152*k**2 = 0. Calculate k.
-16, -4, 0, 161
Factor 12*a**2/7 - 85556708*a/7 - 28518904/7.
4*(a - 7129726)*(3*a + 1)/7
Suppose 11*x**2/4 - 59809*x/4 - 282348 = 0. Calculate x.
-207/11, 5456
Suppose -972*m**4 + 156312*m**3 - 6131276*m**2 + 11165824*m - 5189888 = 0. What is m?
8/9, 1, 1672/27, 97
Solve 5*w**3 - 5579345*w**2 - 5579360*w + 11158700 = 0.
-2, 1, 1115870
Factor 2*x**4/5 + 19554*x**3/5 + 47647872*x**2/5 - 143824896*x.
2*x*(x - 15)*(x + 4896)**2/5
Solve -5*k**2 - 1166215*k + 8163750 = 0 for k.
-233250, 7
Solve -12*i**2 + 600315*i/2 + 2402028 = 0.
-8, 200169/8
Factor -4*l**2/5 + 8221784*l/5 + 213769088/5.
-4*(l - 2055472)*(l + 26)/5
Find s such that 2*s**3/15 - 1816*s**2/3 + 161496*s/5 = 0.
0, 54, 4486
Factor 2*p**3/3 + 646*p**2/3 + 21164*p/3.
2*p*(p + 37)*(p + 286)/3
Suppose 25*d**5 - 15715*d**4 + 1050360*d**3 + 3703060*d**2 + 3520160*d + 883200 = 0. Calculate d.
-2, -1, -2/5, 80, 552
Solve -s**4 - 117505*s**3 + 705081*s**2 + 1762673*s + 940088 = 0 for s.
-117511, -1, 8
Solve -s**2 + 60808708*s - 924424742157316 = 0 for s.
30404354
What is h in -3*h**5 - 15*h**4 + 696*h**3 + 276*h**2 - 17856*h + 29376 = 0?
-17, -6, 2, 4, 12
Suppose -4*g**5 + 70460*g**4 + 1057884*g**3 - 1478588*g**2 - 41118968*g + 102395040 = 0. What is g?
-11, 3, 4, 17630
Solve 3*m**3/2 + 15624*m**2 + 2296143*m/2 + 1132449 = 0.
-10342, -73, -1
Suppose -51*k**4/7 + 174561*k**3/7 - 147853938*k**2/7 - 2602848480*k/7 + 2076796800/7 = 0. Calculate k.
-18, 13/17, 1720
Let 2*c**2/9 - 3824*c/9 - 249526/3 = 0. Calculate c.
-179, 2091
Factor -3*r**3/7 + 674144*r**2/7 - 5410390825*r + 3606884414.
-(r - 112357)**2*(3*r - 2)/7
Suppose 14*j**5/3 + 8753*j**4/6 + 36863*j**3/3 + 140237*j**2/6 - 32062*j/3 + 3040/3 = 0. Calculate j.
-304, -5, -4, 1/7, 1/4
Let 2*a**2/7 - 776*a/7 - 659200/7 = 0. What is a?
-412, 800
Factor v**2 - 29868232*v + 223027820701456.
(v - 14934116)**2
Factor 3*n**2 + 3226365*n - 38716812.
3*(n - 12)*(n + 1075467)
Determine v, given that -2*v**5/5 + 1066*v**4/5 - 20082*v**3 + 58126*v**2 + 100412*v/5 - 291696/5 = 0.
-1, 1, 3, 118, 412
Suppose -2*f**3/13 + 2094120*f**2/13 - 42167039232*f + 2192652534272/13 = 0. What is f?
4, 523528
Find z such that 5*z**3 + 12880*z**2 - 912875*z - 925750 = 0.
-2645, -1, 70
Solve -4*h**2 - 2687116*h + 201556200 = 0.
-671854, 75
Factor -5*x**2 + 15834760*x - 12536981212880.
-5*(x - 1583476)**2
Factor 3*r**2 + 15933327*r - 15933330.
3*(r - 1)*(r + 5311110)
Determine u so that 2*u**2/13 - 12803098*u/13 - 1969708 = 0.
-2, 6401551
Factor 4*n**3 - 36656*n**2 + 1534260*n - 16091208.
4*(n - 9122)*(n - 21)**2
Factor 13*n**3/7 + 37727*n**2 - 121890*n/7.
n*(n + 20315)*(13*n - 6)/7
Let 5*w**5/4 - 11545*w**4 - 57760*w**3 + 69275*w**2/2 + 600715*w/4 - 231025/2 = 0. What is w?
-5, -2, 1, 9241
Let p**4/4 - 2193*p**3/2 + 1336805*p**2 - 286438614*p + 567538776 = 0. Calculate p.
2, 268, 2058
Suppose -12*f**3/7 + 2947466*f**2/7 - 3438696*f/7 + 491242/7 = 0. What is f?
1/6, 1, 245621
Suppose -13047*n**3/2 + 26093*n**2 + 391414*n + 60 = 0. What is n?
-6, -2/13047, 10
Suppose -10*w**4/9 + 21144734*w**3/9 - 3725829351614*w**2/3 - 6706508902910*w/9 + 4471000296676/9 = 0. What is w?
-1, 2/5, 1057237
Let k**5/4 - 271*k**4/4 - 17391*k**3/2 - 256446*k**2 - 1121472*k - 1285632 = 0. Calculate k.
-48, -3, -2, 372
Solve 5*h**3 - 40595855*h**2 - 81191745*h + 121787595 = 0 for h.
-3, 1, 8119173
Let -32137792395845*q**2 + 1445099910*q - 16245 = 0. Calculate q.
57/2535263
Factor -3502*n**2 + 1313252*n - 750.
-2*(n - 375)*(1751*n - 1)
Factor -4*t**2/3 - 219056*t/3 - 146032.
-4*(t + 2)*(t + 54762)/3
Let -2*r**2 - 9994*r - 218900 = 0. What is r?
-4975, -22
Factor 2*v**2/11 - 2888*v/11 - 2890/11.
2*(v - 1445)*(v + 1)/11
Determine f, given that f**4 - 84020*f**3 + 1765344148*f**2 - 21175056480*f + 63516096576 = 0.
6, 42004
Factor c**2/3 + 179480836*c/3 + 8053342622814724/3.
(c + 89740418)**2/3
What is j in j**4/7 - 61515*j**3/7 + 945931517*j**2/7 + 2838963423*j/7 - 9461160810/7 = 0?
-5, 2, 30759
What is y in 5*y**3 + 163330*y**2 - 653380*y + 653400 = 0?
-32670, 2
Find u such that -27*u**3 + 17775884*u**2 - 2925760398935*u + 216722894978 = 0.
2/27, 329183
Determine n so that 2*n**2/11 + 84952*n/11 + 1698240/11 = 0.
-42456, -20
Determine c, given that -3*c**2 - 137889*c - 413640 = 0.
-45960, -3
Determine h so that -9*h**4 - 524589*h**3 - 349686*h**2 + 2098356*h + 1398888 = 0.
-58287, -2, -2/3, 2
What is b in 2*b**4 - 404*b**3 + 22378*b**2 - 190576*b - 473928 = 0?
-2, 13, 93, 98
Let -8*a**5 - 1096*a**4 - 23810*a**3 + 555600*a**2 - 2340000*a = 0. What is a?
-100, -52, 0, 15/2
What is l in 4*l**3 + 16684*l**2 + 2067904*l - 8538816 = 0?
-4043, -132, 4
Find s such that 2*s**5/3 - 2152*s**4/3 + 541484*s**3/3 + 22559576*s**2/3 - 1195036318*s/3 + 11312486528/3 = 0.
-64, 17, 553
Factor -4*r**3/3 - 1581*r**2 - 99591*r.
-r*(r + 1119)*(4*r + 267)/3
Factor 2*p**4 - 312956*p**3 + 12239552282*p**2 + 244884940440*p + 1224581200200.
2*(p - 78249)**2*(p + 10)**2
Find y, given that 4*y**5 + 396*y**4 + 2108*y**3 - 11868*y**2 - 30096*y + 107136 = 0.
-93, -8, -4, 3
Factor -2*n**2/15 - 3041908*n/5 - 3469951605174/5.
-2*(n + 2281431)**2/15
Find k, given that k**3/3 - 1939*k**2/3 - 1295*k + 1941 = 0.
-3, 1, 1941
Solve -3*c**2 - 6411*c - 1644066 = 0 for c.
-1839, -298
Determine q, given that 3*q**5 - 12287*q**4 - 375351*q**3 - 474521*q**2 + 127848*q + 239308 = 0.
-29, -1, 2/3, 4126
Solve 6*z**4 - 5677354*z**3 + 15139574*z**2 - 5677334*z - 3784892 = 0.
-1/3, 1, 2, 946223
Factor -15*x**2 + 6295048*x + 839340.
-(x - 419670)*(15*x + 2)
Factor h**2/9 - 1219*h/9 + 26450/3.
(h - 1150)*(h - 69)/9
Solve 5*j**2 + 135535*j + 18206100 = 0 for j.
-26972, -135
Solve -2*x**4/3 + 5342470*x**3/3 - 10684934*x**2/3 + 1780822*x = 0 for x.
0, 1, 2671233
Factor 4*q**3 + 54280*q**2 + 217036*q - 271320.
4*(q - 1)*(q + 5)*(q + 13566)
Find r, given that -2*r**5/7 - 24456*r**4 + 8*r**3/7 + 97824*r**2 = 0.
-85596, -2, 0, 2
Let 6*j**5/7 + 13126*j**4/7 + 7357216*j**3/7 + 194175256*j**2/7 + 298373760*j/7 - 121305600/7 = 0. What is j?
-1080, -26, -2, 1/3
What is d in 2*d**3 - 45730*d**2 - 869472*d - 2746080 = 0?
-15, -4, 22884
What is j in 5*j**3 + 1101170*j**2 + 3303475*j + 2202310 = 0?
-220231, -2, -1
Solve -f**3/4 - 404241*f**2/2 - 163342852425*f/4 + 6866105636250 = 0 for f.
-404325, 168
Factor 5*h**3 - 607560*h**2 + 18471030480*h - 885210197760.
5*(h - 60732)**2*(h - 48)
Let 2*y**5/9 + 11392*y**4/3 - 273500*y**3/9 + 615424*y**2/9 - 182354*y/3 + 170960/9 = 0. What is y?
-17096, 1, 5
Find h such that 3*h**4 + 3432924*h**3 + 982241933322*h**2 + 92307992990796*h + 2169059641688523 = 0.
-572107, -47
Determine d so that -d**5/2 + 191730*d**4 + d**3 - 383460*d**2 - d/2 + 191730 = 0.
-1, 1, 383460
Determine k, given that 2*k**3 - 566*k**2 + 20548*k - 73264 = 0.
4, 38, 241
Let 57*w**3 + 1907808*w**2 + 15962127360*w - 26888994816 = 0. What is w?
-16736, 32/19
Solve -2*t**2/21 - 7514*t/7 - 14562208/21 = 0.
-10583, -688
Find n such that -3*n**2 + 2370417*n = 0.
0, 790139
Factor 2*w**2/15 - 554068*w - 16622048/15.
2*(w - 4155512)*(w + 2)/15
Suppose 3*b**4/8 - 1557*b**3/8 - 90321*b**2/2 - 530937*b/2 - 351858 = 0. What is b?
-169, -4, -2, 694
Determine a, given that -4*a**4/11 + 226*a**3/11 + 84354*a**2/11 - 2582280*a/11 - 1312200/11 = 0.
-135, -1/2, 30, 162
Factor 4*c**3 + 242444*c**2 + 2908880*c + 7756672.
4*(c + 4)*(c + 8)*(c + 60599)
Find h, given that -h**2/3 - 33920987*h/3 + 11306996 = 0.
-33920988, 1
Solve q**2 + 5570664*q + 22282640 = 0.
-5570660, -4
Factor -n**3 + 101313*n**2 + 2837352*n + 19862836.
-(n - 101341)*(n + 14)**2
Factor -2*b**3 + 2139302*b**2 - 572154707430*b + 41755894080066.
-2*(b - 534789)**2*(b - 73)
Determine u so that -3*u**3/2 + 8709*u**2/2 + 248394*u + 479358 = 0.
-54, -2, 2959
Find q such that -q**2 + 31550*q - 4584984 = 0.
146, 31404
Factor -2*s**3/3 + 3102688*s**2/3 - 1203349616458*s/3 + 12033185897780/3.
-2*(s - 775667)**2*(s - 10)/3
Factor u**2 - 340193*u + 340192.
(u - 340192)*(u - 1)
Let -22*h**4/3 + 12806*h**3/3 - 265172*h**2 + 1027632*h - 811008 = 0. What is h?
12/11, 3, 66, 512
What is v in -9*v**4/5 + 93*v**3 + 43017*v**2 - 158997*v - 288876/5 = 0?
-133, -1/3, 4, 181
Factor -w**3/3 - 20887*w**2 - 2669440*w - 256135168/3.
-(w + 64)**2*(w + 62533)/3
Determine f, given that 34*f**2/3 