150, 396
Factor -2*g**2/7 - 1992628*g/7 - 496320793298/7.
-2*(g + 498157)**2/7
Solve k**4 + k**3 - 129*k**2 + 391*k + 520 = 0 for k.
-13, -1, 5, 8
Suppose -2*g**5/5 + 224*g**4/5 + 3342*g**3/5 - 11564*g**2/5 + 1600*g = 0. What is g?
-16, 0, 1, 2, 125
Factor 4*f**5/3 - 504*f**4 + 1004*f**3 - 1504*f**2/3.
4*f**2*(f - 376)*(f - 1)**2/3
Let b**4 - 15739*b**3 - 7*b**2 + 110167*b + 94434 = 0. Calculate b.
-2, -1, 3, 15739
Suppose 21*x**4 - 305*x**3 - 1000*x**2 + 2020*x - 816 = 0. Calculate x.
-4, 2/3, 6/7, 17
Factor -2*i**3/7 - 218996*i**2/7 - 5994906002*i/7.
-2*i*(i + 54749)**2/7
Factor -d**2/5 + 1662*d/5 + 319464/5.
-(d - 1836)*(d + 174)/5
Solve -2*f**4/17 + 154204*f**3/17 - 2972204994*f**2/17 - 5944872608*f/17 - 2972513408/17 = 0 for f.
-1, 38552
Let -3*x**3 + 790233*x**2/4 - 592665*x/4 - 49389 = 0. Calculate x.
-1/4, 1, 65852
Find d, given that -2*d**3/3 + 100*d**2/3 + 262*d + 228 = 0.
-6, -1, 57
Factor 4*q**4 - 1448*q**3 + 179712*q**2 - 8213400*q + 70470972.
4*(q - 117)**3*(q - 11)
Suppose -3*p**2/8 + 429*p/4 - 19575/8 = 0. Calculate p.
25, 261
Determine p so that 75*p**3 - 46935*p**2 + 591552*p - 1883136 = 0.
32/5, 613
Solve -q**2/5 + 206*q/5 - 201 = 0 for q.
5, 201
Find i such that -7527*i**5 - 15045*i**4 - 7509*i**3 + 9*i**2 = 0.
-1, 0, 3/2509
Factor 20*c**2 + 517008*c + 206800.
4*(c + 25850)*(5*c + 2)
Factor 19853*d**3/2 - 2*d**2.
d**2*(19853*d - 4)/2
Factor 2*x**3/3 - 272*x**2/3 - 790*x + 3168.
2*(x - 144)*(x - 3)*(x + 11)/3
Factor 2*f**3/5 + 59024*f**2/5 + 70818*f + 531108/5.
2*(f + 3)**2*(f + 29506)/5
Factor -12*d**2 - 17264*d + 5756.
-4*(d + 1439)*(3*d - 1)
Factor -4*t**3 - 547036*t**2 - 18702750560*t + 18703297600.
-4*(t - 1)*(t + 68380)**2
Suppose 5*j**3 + 1646135*j**2 + 135488844975*j + 135487198845 = 0. Calculate j.
-164613, -1
Factor -2*l**3/7 - 106*l**2/7 + 6092*l/7 - 5984/7.
-2*(l - 34)*(l - 1)*(l + 88)/7
Factor -5*a**2 + 170850*a - 1459486125.
-5*(a - 17085)**2
Determine b so that -b**2 - 625589*b - 391361596921/4 = 0.
-625589/2
Factor -n**5 - 21*n**4 - 146*n**3 - 336*n**2.
-n**2*(n + 6)*(n + 7)*(n + 8)
Factor 2*q**2/7 + 840036*q/7 + 88207560162/7.
2*(q + 210009)**2/7
Factor 2*f**3 - 128*f**2 + 1030*f - 2200.
2*(f - 55)*(f - 5)*(f - 4)
Determine y, given that 4*y**5 + 180*y**4 - 8708*y**3 - 38196*y**2 + 46720*y = 0.
-73, -5, 0, 1, 32
Let -3*g**5/7 + 57*g**4/7 + 495*g**3/7 - 1149*g**2/7 + 600*g/7 = 0. What is g?
-8, 0, 1, 25
Find b, given that b**3 - 68*b**2 + 701*b + 770 = 0.
-1, 14, 55
Let -2*h**2 + 28876*h - 104227922 = 0. Calculate h.
7219
Suppose -6*l**5 + 1768*l**4 - 127228*l**3 - 449376*l**2 + 397234*l + 177608 = 0. What is l?
-4, -1/3, 1, 149
Determine z, given that 5*z**3 + 64810*z**2 - 129715*z - 972300 = 0.
-12964, -3, 5
Factor -5*i**2 - 14440*i + 86820.
-5*(i - 6)*(i + 2894)
Factor -9*f**2 - 28263*f + 18846.
-3*(f + 3141)*(3*f - 2)
Suppose r**3/4 + 37*r**2 - 3113*r/4 + 2505 = 0. What is r?
-167, 4, 15
Factor 622*a**2/9 + 676*a/9.
2*a*(311*a + 338)/9
Find x, given that 12*x**3 + 195*x**2 - 1536*x - 396 = 0.
-22, -1/4, 6
Factor z**3 - 7838*z**2 + 31340*z - 31336.
(z - 7834)*(z - 2)**2
What is f in -2*f**3/7 + 58*f**2 - 6534*f/7 - 3330 = 0?
-3, 21, 185
Solve -o**4/4 - 3023*o**3/4 + 758*o**2 + 6045*o - 9072 = 0 for o.
-3024, -3, 2
Factor 5*u**4/4 - 2911*u**3 + 2260488*u**2 - 585917248*u + 467288576.
(u - 776)**3*(5*u - 4)/4
Determine a so that -a**3 + 26339*a**2 - 173448899*a + 173422561 = 0.
1, 13169
Find x such that -2*x**2 - 370*x - 4472 = 0.
-172, -13
Determine w so that -w**5 - 172*w**4 - 9598*w**3 - 166184*w**2 + 361855*w - 185900 = 0.
-65, -44, 1
Determine v so that -6*v**3/7 + 2122*v**2/7 + 11488*v/7 = 0.
-16/3, 0, 359
Determine w, given that -2*w**4/9 - 33382*w**3/3 - 139278048*w**2 + 417934296*w = 0.
-25038, 0, 3
Solve l**3/5 - 26536*l**2/5 + 35202657*l + 352132722/5 = 0 for l.
-2, 13269
Suppose -2*n**2/5 + 11786*n/5 - 30576 = 0. What is n?
13, 5880
Solve 63*c**4/4 - 7935*c**3/4 + 7641*c**2/2 - 930*c = 0 for c.
0, 2/7, 5/3, 124
Find r such that r**5 + 178*r**4 + 5108*r**3 + 29198*r**2 - 190437*r + 155952 = 0.
-144, -19, 1, 3
Find u, given that -3*u**5 + 1443*u**4 - 19719*u**3 + 49101*u**2 - 30822*u = 0.
0, 1, 2, 11, 467
Factor -5*b**3/4 + 4775*b**2/4 - 290690*b + 21079740.
-5*(b - 627)*(b - 164)**2/4
Find d such that d**5/2 + 233*d**4 + 16944*d**3 + 475175*d**2 + 11149375*d/2 + 21000000 = 0.
-384, -25, -7
Factor -4*a**3/7 - 104*a**2 - 10020*a/7.
-4*a*(a + 15)*(a + 167)/7
Solve 6*m**4 + 966*m**3 + 77715*m**2/2 - 3864*m - 155526 = 0.
-161/2, -2, 2
Suppose -4*o**5 - 92*o**4 - 540*o**3 - 868*o**2 + 544*o + 960 = 0. Calculate o.
-15, -4, -1, 1
Let -3*r**5/5 + r**4 + 57*r**3/5 - 61*r**2/5 - 54*r/5 + 56/5 = 0. What is r?
-4, -1, 1, 14/3
Suppose -w**3 + 707*w**2 - 114080*w - 3927296 = 0. What is w?
-29, 368
Find p, given that 2*p**5 - 35*p**4/6 - 68*p**3/3 + 265*p**2/6 + 17*p = 0.
-3, -1/3, 0, 2, 17/4
Suppose 2*g**5/23 + 50*g**4/23 + 212*g**3/23 - 316*g**2/23 - 214*g/23 + 266/23 = 0. Calculate g.
-19, -7, -1, 1
Suppose 4*u**3 + 103728*u**2 - 1868332*u + 1764600 = 0. What is u?
-25950, 1, 17
Factor -2*w**5 - 346160*w**4 - 14978689356*w**3 - 29956340240*w**2 - 14977997042*w.
-2*w*(w + 1)**2*(w + 86539)**2
Solve -2*a**5/19 - 3152*a**4/19 + 69998*a**3/19 - 500980*a**2/19 + 1264968*a/19 - 1035504/19 = 0.
-1598, 2, 9
Factor -s**4 + 79*s**3 + 329*s**2 + 249*s.
-s*(s - 83)*(s + 1)*(s + 3)
Factor -2*r**3 - 29606*r**2 - 29600*r + 59208.
-2*(r - 1)*(r + 2)*(r + 14802)
Solve -55*h**2 - 14935*h + 83100 = 0.
-277, 60/11
Find p such that -3*p**3 + 642*p**2 + 8103*p + 7458 = 0.
-11, -1, 226
Suppose -2*p**5 - 4*p**4 + 710*p**3 + 6880*p**2 + 15672*p + 9504 = 0. Calculate p.
-12, -9, -2, -1, 22
Factor -4*j**2 - 2039144*j - 259881765796.
-4*(j + 254893)**2
Find v, given that v**4/8 - 5*v**3/8 + v**2/4 + v = 0.
-1, 0, 2, 4
Suppose d**4/7 - 299*d**3/7 - 9129*d**2/7 - 8829*d/7 = 0. Calculate d.
-27, -1, 0, 327
Factor 3*s**5 + 6642*s**4 - 13296*s**3.
3*s**3*(s - 2)*(s + 2216)
Let -4*a**3 - 62484*a**2 - 244046880*a - 243984400 = 0. Calculate a.
-7810, -1
Factor -3*h**4 - 59856*h**3 - 298860858*h**2 - 2984120880*h - 7456563075.
-3*(h + 5)**2*(h + 9971)**2
Find p such that 13*p**3 + 3096*p**2 - 8967*p - 12050 = 0.
-241, -1, 50/13
Suppose -54*c**4/5 - 548*c**3/5 + 2786*c**2/5 - 3712*c/5 + 1528/5 = 0. Calculate c.
-382/27, 1, 2
Find a, given that 3*a**5/8 - 753*a**4/8 + 46971*a**3/8 - 91695*a**2/8 + 22737*a/4 = 0.
0, 1, 106, 143
Determine w so that w**4/3 - 21*w**3 + 391*w**2/3 + 21*w - 392/3 = 0.
-1, 1, 7, 56
Let 2*o**3/9 - 9314*o**2/3 + 32675360*o/3 - 3012015800/9 = 0. What is o?
31, 6970
Let -2*r**3 + 764*r**2 + 1536*r = 0. Calculate r.
-2, 0, 384
Suppose -2*l**2/17 - 181196*l/17 - 4103998802/17 = 0. What is l?
-45299
Factor -5*u**3 + 41600*u**2 + 249735*u + 374670.
-5*(u - 8326)*(u + 3)**2
Solve -4*x**3/3 - 232*x**2/3 + 7040*x/3 = 0 for x.
-80, 0, 22
Find t such that 4*t**3 + 7608*t**2 + 68220*t + 136296 = 0.
-1893, -6, -3
Factor -4*z**3 + 752*z**2 + 22932*z + 61920.
-4*(z - 215)*(z + 3)*(z + 24)
What is r in -r**2/9 - 8089*r/9 + 32404/3 = 0?
-8101, 12
Determine r so that -2*r**2 - 101636*r - 1291234562 = 0.
-25409
Factor f**3 - 4344*f**2.
f**2*(f - 4344)
Factor 2*b**3/9 + 144926*b**2/9 + 2626240096*b/9 + 28871107672/9.
2*(b + 11)*(b + 36226)**2/9
Determine g so that -121*g**5 - 1782*g**4 - 3063*g**3 + 22414*g**2 + 17184*g + 3168 = 0.
-11, -6, -4/11, 3
What is z in -2*z**5/7 + 1076*z**4/7 - 44728*z**3/7 + 626800*z**2/7 - 3140352*z/7 + 5121792/7 = 0?
4, 18, 494
Find w such that 3*w**4 - 141*w**3 + 1557*w**2 - 3579*w - 5280 = 0.
-1, 5, 11, 32
Determine x, given that -3*x**3 - 6438*x**2 - 4118112*x - 674028000 = 0.
-948, -250
Solve -4*z**3 - 2776*z**2 + 5888*z + 222720 = 0 for z.
-696, -8, 10
Find z, given that 10*z**2 + 36785*z/2 + 9195/2 = 0.
-1839, -1/4
Solve -17*o**2 - 20527*o - 9656 = 0 for o.
-1207, -8/17
Factor -2*o**3/3 - 17332*o**2/3 - 69256*o - 207696.
-2*(o + 6)**2*(o + 8654)/3
Let -r**5/4 + 28*r**4 - 741*r**3/4 + 315*r**2/2 = 0. Calculate r.
0, 1, 6, 105
Suppose -2*w**5/9 - 56*w**4/9 - 62*w**3/3 + 3988*w**2/9 + 8320*w/9 - 25600/3 = 0. What is w?
-16, -6, 5
Solve 5*p**5 + 460*p**4 - 4825*p**3 - 519000*p**2 + 7830000*p = 0 for p.
-87, -45, 0, 20
What is x in -2*x**2/5 - 1569376*x/5 - 307867628672/5 = 0?
-392344
Find z, given that -2*