*2/3 - 16*s = 0?
-24, -3/356, 0
Find q, given that 15*q**4 - 34956*q**3 - 477348*q**2 - 1939968*q - 2025216 = 0.
-6, -8/5, 2344
Solve -2*a**4 - 182*a**3 - 354*a**2 + 182*a + 356 = 0.
-89, -2, -1, 1
Factor 5*v**4 - 8315*v**3 - 66885*v**2 + 75195*v.
5*v*(v - 1671)*(v - 1)*(v + 9)
Determine d, given that d**2 + 8353*d + 16702 = 0.
-8351, -2
Find k, given that 4*k**3/3 + 20048*k**2 - 60172*k/3 - 120296 = 0.
-15037, -2, 3
Determine s, given that 2*s**5/5 + 842*s**4/5 + 1164*s**3 + 9928*s**2/5 - 3344*s/5 - 13248/5 = 0.
-414, -4, -2, 1
Suppose -4*v**5 - 52*v**4 - 192*v**3 - 144*v**2 = 0. Calculate v.
-6, -1, 0
Factor -v**4/8 - 28767*v**3/4 - 826907173*v**2/8 + 4553211993*v/2 - 25052241841/2.
-(v - 11)**2*(v + 28778)**2/8
Factor -2*r**4 - 130*r**3 - 1896*r**2 + 7480*r + 9248.
-2*(r - 4)*(r + 1)*(r + 34)**2
Suppose 24*c**5 + 5164*c**4 + 109508*c**3 + 533268*c**2 + 790884*c + 117504 = 0. What is c?
-192, -17, -3, -1/6
Factor 2*k**3/13 + 562*k**2/13 - 5820*k/13.
2*k*(k - 10)*(k + 291)/13
Factor -2*s**3 - 2562*s**2 + 15426*s - 23166.
-2*(s - 3)**2*(s + 1287)
Solve 3*x**5/5 + 4986*x**4/5 + 412338*x**3 - 8301684*x**2/5 + 10398339*x/5 - 4163334/5 = 0 for x.
-833, 1, 2
Factor -o**3/4 - 785*o**2/2 - 3127*o - 4686.
-(o + 2)*(o + 6)*(o + 1562)/4
What is f in 3*f**4 - 522*f**3 + 18537*f**2 - 48978*f - 68040 = 0?
-1, 4, 45, 126
Factor -2*w**2/7 - 25404*w/7 - 80670402/7.
-2*(w + 6351)**2/7
Find f such that -f**2 - 578904*f - 83782460304 = 0.
-289452
Determine j so that 2*j**3/3 - 1106*j**2/3 + 32480*j/3 - 20184 = 0.
2, 29, 522
What is b in b**4 - 19*b**3 - 260*b**2 + 1236*b - 1296 = 0?
-12, 2, 27
Suppose -4*w**3/3 - 784*w**2/3 + 9772*w + 10032 = 0. Calculate w.
-228, -1, 33
Factor m**5/6 + 7*m**4/6 + 2*m**3.
m**3*(m + 3)*(m + 4)/6
Factor 3*w**2/7 + 29439*w.
3*w*(w + 68691)/7
Factor 140*y**3 + 145*y**2 - 275*y - 10.
5*(y - 1)*(y + 2)*(28*y + 1)
Let f**5 + 360*f**4 + 358*f**3 - 360*f**2 - 359*f = 0. What is f?
-359, -1, 0, 1
Factor 2*r**2/9 + 420436*r/9 + 420430/3.
2*(r + 3)*(r + 210215)/9
Factor -3*y**5/2 - 53055*y**4/2 + 159183*y**3/2 - 159189*y**2/2 + 26532*y.
-3*y*(y - 1)**3*(y + 17688)/2
Find n, given that 2*n**2 + 12802*n - 12804 = 0.
-6402, 1
Find i such that 3*i**5/5 + 228416*i**4/5 + 837491*i**3/5 + 456798*i**2/5 - 913628*i/5 - 121816 = 0.
-76135, -2, -2/3, 1
Find c such that 3*c**5 + 12*c**4 - 9*c**3 - 102*c**2 - 156*c - 72 = 0.
-2, -1, 3
Let -3*a**2 + 4371*a + 507060 = 0. What is a?
-108, 1565
Solve -2*a**3/7 + 404*a**2/7 + 39598*a/7 + 151800/7 = 0 for a.
-69, -4, 275
Suppose -3*o**3/7 + 28377*o**2/7 - 28374*o/7 = 0. What is o?
0, 1, 9458
Factor -5*s**5 + 130*s**4 + 1440*s**3 + 4590*s**2 + 4725*s.
-5*s*(s - 35)*(s + 3)**3
Suppose 2*h**3/11 + 8544*h**2/11 + 42670*h/11 = 0. What is h?
-4267, -5, 0
Solve 2*j**5/3 - 176*j**4/3 + 650*j**3/3 + 612*j**2 + 336*j = 0.
-1, 0, 6, 84
Determine i, given that 10*i**2/3 + 287104*i/15 + 7656/5 = 0.
-5742, -2/25
Solve -8*m**4 - 684*m**3 - 2320*m**2 - 1968*m = 0.
-82, -2, -3/2, 0
Suppose 3*g**5/4 + 102*g**4 + 801*g**3/2 + 597*g**2 + 1587*g/4 + 99 = 0. What is g?
-132, -1
Factor -3*g**4/5 - 3594*g**3/5 - 1207443*g**2/5 - 15698592*g - 286191360.
-3*(g + 39)**2*(g + 560)**2/5
Solve -32*r**4/5 - 2168*r**3/5 - 4732*r**2/5 - 1048*r/5 = 0.
-131/2, -2, -1/4, 0
What is a in 4*a**2/5 - 311538*a/5 - 31154 = 0?
-1/2, 77885
Let -2*j**5/5 - 34*j**4/5 + 6*j**3 + 1522*j**2/5 - 572*j = 0. What is j?
-13, -11, 0, 2, 5
Solve 3*t**3 + 864*t**2 + 44352*t + 301056 = 0 for t.
-224, -56, -8
Determine a, given that 3*a**3/7 - 1305*a**2/7 + 70200*a/7 - 1012500/7 = 0.
30, 375
Solve 2*d**2/5 - 2394*d - 35928/5 = 0.
-3, 5988
What is i in -2*i**5/3 + 170*i**4/9 - 560*i**3/9 - 520*i**2/3 + 64*i = 0?
-2, 0, 1/3, 6, 24
What is l in -l**4 - 266*l**3 - 1036*l**2 + 3144*l = 0?
-262, -6, 0, 2
Let 2*d**4 - 2568*d**3 + 81942*d**2 + 779312*d + 1641312 = 0. Calculate d.
-4, 41, 1251
Determine a so that -5*a**3 + 14905*a**2 + 59680*a + 59700 = 0.
-2, 2985
Factor -3364*w**3 - 19836*w**2 - 36636*w - 20164.
-4*(w + 1)*(29*w + 71)**2
What is d in -d**5/6 + 347*d**4/6 - 4113*d**3 - 38063*d**2/3 - 76825*d/6 - 8575/2 = 0?
-1, 105, 245
Factor 9*g**4 - 6784*g**3 + 5269*g**2 + 1506*g.
g*(g - 753)*(g - 1)*(9*g + 2)
Factor -5*b**3 - 1760*b**2 + 4810535*b - 1353758770.
-5*(b - 461)**2*(b + 1274)
Suppose -2*h**5 + 572*h**4 - 20304*h**3 + 149984*h**2 + 862048*h + 952512 = 0. Calculate h.
-2, 22, 246
Factor 28*n**2 + 20836*n + 309096.
4*(n + 729)*(7*n + 106)
Suppose 3*i**3/2 + 1791*i**2/2 + 140940*i + 6665976 = 0. Calculate i.
-381, -108
Factor 867*g**3/8 + 53295*g**2/4 - 113589*g/8 + 7533/2.
3*(g + 124)*(17*g - 9)**2/8
Solve -3*c**2/5 + 546*c/5 + 3969/5 = 0 for c.
-7, 189
Solve -4*c**5 - 2512*c**4 = 0 for c.
-628, 0
What is x in x**5 - 33*x**4 - 6264*x**3 - 136080*x**2 = 0?
-36, 0, 105
Factor 4*x**2 - 3847*x - 962.
(x - 962)*(4*x + 1)
Determine m so that 5*m**3/4 + 735*m**2 + 435105*m/4 + 429245/2 = 0.
-293, -2
Suppose 40*g**2 + 6385*g - 77805 = 0. What is g?
-171, 91/8
Suppose -k**3 + 58083*k**2 - 116163*k + 58081 = 0. Calculate k.
1, 58081
Solve -12*q**3 + 176*q**2 - 2173*q/3 + 1681/3 = 0.
1, 41/6
Factor -685*j**3 + 17809*j**2 - 17099*j - 25.
-(j - 25)*(j - 1)*(685*j + 1)
Factor 4*z**3 - 4948*z**2 - 69860*z - 245196.
4*(z - 1251)*(z + 7)**2
Let 2*o**2 + 836*o + 15920 = 0. Calculate o.
-398, -20
Factor -2*m**3 + 10*m**2 + 4144*m - 79968.
-2*(m - 28)**2*(m + 51)
Factor u**2/3 - 28*u/3 - 111.
(u - 37)*(u + 9)/3
Solve -3*k**3 - 1857*k**2 - 134160*k - 2587200 = 0.
-539, -40
What is j in -2*j**2/13 + 28386*j/13 + 397796/13 = 0?
-14, 14207
Factor 6992*s**3/3 - 3592*s**2/3 + 485*s/3 - 2.
(4*s - 1)**2*(437*s - 6)/3
Factor 2*z**3/7 - 4896*z**2/7 + 3110400*z/7 - 138240000/7.
2*(z - 1200)**2*(z - 48)/7
Suppose -2*b**4/11 + 298*b**3/11 + 1328*b**2/11 - 16072*b/11 + 24480/11 = 0. Calculate b.
-10, 2, 4, 153
Factor 4*k**2 - 160968*k + 643808.
4*(k - 40238)*(k - 4)
Factor -2*c**3/5 + 154*c**2/5 - 1662*c/5 - 6426/5.
-2*(c - 63)*(c - 17)*(c + 3)/5
Factor -q**3 + 937*q**2 + 5653*q + 4715.
-(q - 943)*(q + 1)*(q + 5)
Suppose y**2/2 - 295468*y - 590937/2 = 0. What is y?
-1, 590937
Solve -v**4 - 16*v**3 - 93*v**2 - 234*v - 216 = 0 for v.
-6, -4, -3
Determine c so that -3*c**3/5 - 10332*c**2/5 - 41289*c/5 - 6192 = 0.
-3440, -3, -1
Find x, given that -2*x**2 - 128*x - 1080 = 0.
-54, -10
Factor m**3/4 + 2313*m**2/2 + 5349969*m/4.
m*(m + 2313)**2/4
Factor 2*r**2/11 - 12778*r/11.
2*r*(r - 6389)/11
Let -g**5/2 - 116*g**4 - 5079*g**3/2 - 8698*g**2 + 72506*g - 61152 = 0. Calculate g.
-208, -14, 1, 3
Factor s**2/6 - 5831*s/3 - 11665/2.
(s - 11665)*(s + 3)/6
Suppose 74*p**4/11 - 1264*p**3/11 - 7594*p**2/11 - 9144*p/11 + 72 = 0. Calculate p.
-3, -2, 3/37, 22
Determine w so that 3*w**4 - 2994*w**3 + 41523*w**2 - 192180*w + 295200 = 0.
4, 5, 984
Factor -3*y**2 - 1346940*y - 151187280300.
-3*(y + 224490)**2
Let 32*m**3/5 - 1033392*m**2/5 - 516702*m/5 - 64588/5 = 0. Calculate m.
-1/4, 32294
Factor 3*y**3 - 2667*y**2 + 15909*y - 13245.
3*(y - 883)*(y - 5)*(y - 1)
Factor 4*q**4 - 152*q**3 - 36660*q**2 - 36504*q.
4*q*(q - 117)*(q + 1)*(q + 78)
Factor 3*y**2 - 4514736*y + 1698570095808.
3*(y - 752456)**2
Solve -s**2/4 - 3019*s/2 + 24216 = 0.
-6054, 16
Factor -2*c**2 + 12944*c + 259680.
-2*(c - 6492)*(c + 20)
Solve -2*t**4/7 + 166*t**3 + 1166*t**2/7 - 166*t - 1164/7 = 0 for t.
-1, 1, 582
Factor -2*b**2/9 - 6676*b/3 + 20030/9.
-2*(b - 1)*(b + 10015)/9
Let -3*m**3/5 - 16641*m**2 + 166419*m/5 - 83211/5 = 0. Calculate m.
-27737, 1
Determine d, given that -d**2/4 + 2453*d/4 + 2457 = 0.
-4, 2457
What is c in 2*c**2/13 - 4258*c/13 + 248280/13 = 0?
60, 2069
Factor 2566404*w**2 - 6408*w + 4.
4*(801*w - 1)**2
Solve v**3 + 35416*v**2 + 313608677*v + 627075698 = 0.
-17707, -2
Find r, given that -10*r**2 - 1736326*r + 694532 = 0.
-173633, 2/5
Suppose -2*y**5/7 - 106*y**4/7 + 4918*y**3/7 - 43726*y**2/7 + 8380*y + 47600 = 0. Calculate y.
-85, -2, 7, 20
Determine w, given that -2*w**3 - 9544*w**2 - 38152*w - 38144 = 0.
-4768, -2
Suppose -5*o**2/4 + 1336385*o/2 - 357184973645/4 = 0. Calculate o.
267277
Factor y**3 + 201414*y**2 - 805668*y + 805672.
(y - 2)**2*(y + 201418)
Factor -2*q**4 + 13900*q**3 - 24289650*q**2 + 480249000*q.
-2*q*(q - 3465)**2*(q - 20)
Factor 3*y**3/8 - 375*y**2/8 - 28761*y/4 - 14190.
3*(y - 215)*(y + 2)*(y + 