t is v in -3*v**5 + 786*v**4 + 4797*v**3 + 7236*v**2 = 0?
-3, 0, 268
Let -c**3/4 - 428*c**2 + 6869*c/4 + 2145 = 0. What is c?
-1716, -1, 5
Let 18*w**5 - 4610*w**4 - 46918*w**3 - 114430*w**2 + 13300*w = 0. Calculate w.
-5, 0, 1/9, 266
Factor -4*s**3 - 29364*s**2.
-4*s**2*(s + 7341)
Factor 783*i**4 - 7017*i**3 + 20871*i**2 - 20331*i - 810.
3*(i - 3)**3*(261*i + 10)
Factor 12*x**3 - 16664*x**2 - 5556*x.
4*x*(x - 1389)*(3*x + 1)
Determine f, given that -2*f**4 + 2*f**3 + 92*f**2 - 8*f - 336 = 0.
-6, -2, 2, 7
Suppose -w**3/6 - 885*w**2/2 - 683369*w/2 - 364927453/6 = 0. Calculate w.
-1201, -253
Determine l so that 3*l**3 + 16095*l**2 + 128616*l + 257136 = 0.
-5357, -4
Solve -2*u**2/3 + 67064*u/3 + 67070 = 0 for u.
-3, 33535
Factor -c**3 + 1318*c**2 + 1319*c.
-c*(c - 1319)*(c + 1)
Factor d**3 + 110*d**2 + 2617*d + 2508.
(d + 1)*(d + 33)*(d + 76)
Suppose -3*s**3 - 546*s**2 + 67815*s + 208278 = 0. What is s?
-266, -3, 87
Factor -n**2/8 + 45*n + 345825/8.
-(n - 795)*(n + 435)/8
Find l such that 5*l**2 + 1080*l + 57195 = 0.
-123, -93
What is g in 86*g**3 - 440*g**2 + 566*g - 60 = 0?
5/43, 2, 3
Find g such that -8*g**2 + 87460*g + 306208 = 0.
-7/2, 10936
Let 3*x**3 + 378*x**2 - 381*x = 0. What is x?
-127, 0, 1
Suppose 338*q**5/5 + 1586*q**4/5 - 326*q**3 - 930*q**2 + 900*q = 0. What is q?
-5, -2, 0, 15/13
Solve -3*q**3/5 - 9294*q**2/5 - 1399812*q + 62115480 = 0 for q.
-1570, 42
Solve 2*l**4 + 402*l**3 + 19564*l**2 - 66504*l - 208080 = 0.
-102, -2, 5
Factor -4*w**2/3 - 460*w/3 + 34736/3.
-4*(w - 52)*(w + 167)/3
Factor 5*x**2 - 910*x + 21560.
5*(x - 154)*(x - 28)
Factor -3*i**2 + 231696*i - 4473586368.
-3*(i - 38616)**2
What is d in -29*d**4/2 - 1219*d**3/2 - 3319*d**2/2 + 4411*d/2 + 78 = 0?
-39, -4, -1/29, 1
Factor -p**2 + 55138*p.
-p*(p - 55138)
Factor -2*u**4/11 - 62*u**3 + 3460*u**2/11.
-2*u**2*(u - 5)*(u + 346)/11
Let c**4 - 10446*c**3 + 28623753*c**2 - 7019837352*c + 451600128144 = 0. Calculate c.
132, 5091
Factor h**3/6 + 17*h**2/3 + 142*h/3 + 220/3.
(h + 2)*(h + 10)*(h + 22)/6
Factor -3*h**4 - 41532*h**3 - 143617602*h**2 + 862827300*h - 1294801875.
-3*(h - 3)**2*(h + 6925)**2
Determine b so that -3*b**5 + 753*b**4 + 9*b**3 - 2265*b**2 + 1506*b = 0.
-2, 0, 1, 251
Solve 2*t**5/5 - 6*t**4 + 62*t**3/5 + 294*t**2/5 - 64*t/5 - 264/5 = 0 for t.
-2, -1, 1, 6, 11
What is w in 10570580*w**4 - 16854768*w**3 - 8549440*w**2 - 46656*w - 64 = 0?
-2/5, -2/727, 2
Determine b so that 2*b**5/3 + 5566*b**4/3 + 11116*b**3/3 - 22252*b**2/3 - 3706*b + 5562 = 0.
-2781, -3, -1, 1
Solve -5*p**5 + 615*p**4 - 8430*p**3 + 36220*p**2 - 63000*p + 38880 = 0 for p.
2, 9, 108
Find b, given that -3*b**3 - 7437*b**2 - 235680*b - 1879296 = 0.
-2447, -16
Factor -2*u**3 + 5390*u**2 + 16184*u + 10792.
-2*(u - 2698)*(u + 1)*(u + 2)
Suppose j**3 + 12430*j**2 - 12433*j - 24862 = 0. Calculate j.
-12431, -1, 2
Let 1369*j**3 + 10360*j**2 - 4672*j + 512 = 0. What is j?
-8, 8/37
What is n in 2*n**4 + 144*n**3 + 678*n**2 + 536*n = 0?
-67, -4, -1, 0
Suppose 90*u**3/11 - 8862*u**2/11 + 4120*u/11 - 392/11 = 0. Calculate u.
2/15, 1/3, 98
Find p, given that -3*p**2/4 + 199041*p + 2388519/4 = 0.
-3, 265391
Factor 15*y**3 + 28805*y**2 + 95810*y - 76680.
5*(y + 4)*(y + 1917)*(3*y - 2)
Factor 25*a**4/4 - 295*a**3/4 + 879*a**2/4 - 1001*a/4 + 98.
(a - 8)*(a - 1)*(5*a - 7)**2/4
Factor -236*w**2 + 4632*w + 1760.
-4*(w - 20)*(59*w + 22)
Let -t**5/3 - 1723*t**4/3 - 3422*t**3 + 61772*t**2/3 - 68680*t/3 = 0. What is t?
-1717, -10, 0, 2
Factor -2*f**4 - 28*f**3 + 6*f**2 + 88*f + 56.
-2*(f - 2)*(f + 1)**2*(f + 14)
Find n, given that 100*n**4 - 22440*n**3 + 180909*n**2 + 114615*n + 17496 = 0.
-3/10, 9, 216
Factor 5*z**2 - 2605*z - 2610.
5*(z - 522)*(z + 1)
Factor 3*q**3 - 17280*q**2 + 549888*q.
3*q*(q - 5728)*(q - 32)
Factor 2*x**2/13 - 26484*x/13 + 79434/13.
2*(x - 13239)*(x - 3)/13
Find d such that -135*d**4 + 324405*d**3 - 324315*d**2 + 108095*d - 12010 = 0.
1/3, 2402
Solve o**3/4 - 128577*o**2/4 + 1033268880*o - 1033236736 = 0 for o.
1, 64288
Find u such that 4*u**2 + 67736*u + 67732 = 0.
-16933, -1
Factor -v**3/3 - 112528*v**2/3 + 1125355*v/3 - 2813450/3.
-(v - 5)**2*(v + 112538)/3
Find z, given that -6*z**4 + 429*z**3 - 3054*z**2 - 9951*z - 4158 = 0.
-2, -1/2, 11, 63
Solve -4*v**4/9 - 680*v**3/3 - 277412*v**2/9 - 1439920*v/3 + 511024 = 0 for v.
-246, -19, 1
Let 5*t**5 + 25*t**4 - 10*t**3 - 140*t**2 - 40*t + 160 = 0. What is t?
-4, -2, 1, 2
Find q, given that q**4/5 - 2501*q**3 - 150156*q**2/5 - 600752*q/5 - 801088/5 = 0.
-4, 12517
Let -3*g**4 - 1785*g**3 - 3549*g**2 + 5337*g = 0. Calculate g.
-593, -3, 0, 1
Factor 2*r**2/11 - 24062*r/11 + 24060/11.
2*(r - 12030)*(r - 1)/11
Factor k**3/6 + 1172*k**2/3 - 73691*k/6 - 26125.
(k - 33)*(k + 2)*(k + 2375)/6
What is z in -20*z**2 + 4108*z/3 + 736 = 0?
-8/15, 69
Suppose 5*d**2 + 4460*d + 413175 = 0. What is d?
-787, -105
Factor -u**3 + 2813*u**2 - 28019*u - 30833.
-(u - 2803)*(u - 11)*(u + 1)
Determine v, given that -25*v**2 + 291455*v + 233180 = 0.
-4/5, 11659
Factor y**2/5 + 313*y/5 + 186.
(y + 3)*(y + 310)/5
Factor 4*m**5/5 - 13732*m**4/5 + 10976*m**3 - 54864*m**2/5.
4*m**2*(m - 3429)*(m - 2)**2/5
Find x, given that -4*x**2/5 - 2408*x/5 - 222528/5 = 0.
-488, -114
Factor -5*u**3 - 210*u**2 - 2200*u - 6720.
-5*(u + 6)*(u + 8)*(u + 28)
Determine s so that 54*s**3 + 14535*s**2 + 976872*s - 163216 = 0.
-404/3, 1/6
Factor 2*m**3 - 98*m.
2*m*(m - 7)*(m + 7)
Factor -2*s**3/3 - 140*s**2/3 - 238*s + 1152.
-2*(s - 3)*(s + 9)*(s + 64)/3
Solve t**3 - 3147*t**2 + 173880*t - 2423344 = 0 for t.
28, 3091
Find r, given that -15*r**5 - 20680*r**4 - 7093050*r**3 + 23963780*r**2 + 30898065*r - 47748100 = 0.
-691, -5/3, 1, 4
Factor 3*v**2 - 151278*v + 605064.
3*(v - 50422)*(v - 4)
Factor -b**4 + 61*b**3 - 457*b**2 - 4497*b - 7650.
-(b - 50)*(b - 17)*(b + 3)**2
Factor i**3 - 825*i**2 + 157563*i + 5287541.
(i - 427)**2*(i + 29)
Let -2*p**2 - 10434*p - 197524 = 0. What is p?
-5198, -19
Suppose -o**5/2 - 435*o**4 + 3495*o**3/2 - 440*o**2 - 2622*o = 0. What is o?
-874, -1, 0, 2, 3
Determine k so that 8*k**4/9 - 98*k**3/9 + 152*k**2/9 + 470*k/3 - 400 = 0.
-15/4, 3, 5, 8
Solve -3*y**4/8 - 495*y**3/8 + 321*y**2 + 765*y/2 = 0.
-170, -1, 0, 6
Let p**2/12 + 655*p/2 + 1964/3 = 0. What is p?
-3928, -2
Factor -9*n**2 + 1725*n/4 - 429/4.
-3*(3*n - 143)*(4*n - 1)/4
Let -3*r**4 + 528*r**3 - 2076*r**2 + 2064*r = 0. Calculate r.
0, 2, 172
Factor 2*o**2/11 - 3116*o/11 - 31360/11.
2*(o - 1568)*(o + 10)/11
Find u such that -u**5/2 - 285*u**4/8 - 5693*u**3/8 - 19635*u**2/8 + 53361*u/8 = 0.
-33, -7, 0, 7/4
Factor 7*c**2/5 + 84677*c/5 - 24194/5.
(c + 12097)*(7*c - 2)/5
Factor -3*k**4 - 135*k**3 - 1341*k**2 - 1209*k.
-3*k*(k + 1)*(k + 13)*(k + 31)
Solve -4*n**2 - 35664*n + 3133044 = 0.
-9003, 87
Find d such that 2*d**2/13 - 55888*d/13 + 390433568/13 = 0.
13972
Factor i**3/10 - 2977*i**2/5 - 131351*i/10 - 361548/5.
(i - 5976)*(i + 11)**2/10
Find c such that -5*c**2/4 + 462823*c/4 + 92565/2 = 0.
-2/5, 92565
What is w in -w**2/7 + 94*w/7 = 0?
0, 94
Factor -2*u**4/7 - 14092*u**3 - 1621838880*u**2/7 - 8889839251200*u/7 - 17773191936000/7.
-2*(u + 2)*(u + 16440)**3/7
Let 2*y**3/17 + 854*y**2/17 + 50260*y/17 - 103952/17 = 0. What is y?
-356, -73, 2
Determine v so that -5*v**3/3 - 21010*v**2/3 - 1779125*v/3 - 12684140 = 0.
-4116, -43
Determine k so that 3*k**2 - 4602*k - 140760 = 0.
-30, 1564
Let x**4/6 + 157*x**3/6 + 803*x**2/3 = 0. What is x?
-146, -11, 0
Factor h**2 - 113924*h + 3244669444.
(h - 56962)**2
What is m in 4*m**2/3 - 18814*m/9 - 3136/9 = 0?
-1/6, 1568
Find a, given that a**3/2 + 38*a**2 - 317*a/2 + 120 = 0.
-80, 1, 3
Let -140*z**5/3 + 5276*z**4/3 - 44308*z**3/3 + 107908*z**2/3 - 19696*z + 3024 = 0. Calculate z.
2/7, 2/5, 3, 7, 27
Solve -d**4 - 145*d**3 - 6453*d**2 - 86751*d - 357210 = 0.
-63, -10, -9
Determine o so that 4*o**4 - 82036*o**3 + 410112*o**2 - 656144*o + 328064 = 0.
1, 2, 20504
Factor 4*d**3 - 68004*d**2 + 289068000*d - 289000000.
4*(d - 8500)**2*(d - 1)
Factor 3*j**4 - 24*j**3 - 11544*j**2 + 46368*j + 11197872.
3*(j - 46)**2*(j + 42)**2
Let 4*j**3 + 608*j**2 + 9972*j + 43416 = 0. Calculate j.
-134, -9
Suppose -6*m**3/5 + 318*m**2/5 + 4224*m/5 = 0. What is m?
-11, 0, 64
Solve -86*t**3/7 - 30612*t**2/7 - 657250*t/7 + 30636/7 = 0 for t.
-333, -23, 2/43
Factor -4*o**3 + 31748*o**2 - 31744*o.
-4