
Factor 90*t**3 - 8160*t**2 - 38815*t/2 - 22785/2.
5*(t - 93)*(6*t + 7)**2/2
Suppose -m**3/6 + 356*m**2/3 - 4168*m/3 - 22400/3 = 0. Calculate m.
-4, 16, 700
Determine f so that 30*f**4/13 - 2408*f**3/13 + 18262*f**2/13 - 29420*f/13 + 13536/13 = 0.
1, 94/15, 72
Factor c**3/5 + 694*c**2/5 + 108537*c/5 - 4216608/5.
(c - 32)*(c + 363)**2/5
Factor -4*v**3 + 47196*v**2.
-4*v**2*(v - 11799)
Factor -z**3/5 + 36948*z**2/5 + 36949*z/5.
-z*(z - 36949)*(z + 1)/5
Let 2*i**5/7 + 1168*i**4/7 + 176196*i**3/7 + 7864256*i**2/7 - 8041622*i/7 = 0. What is i?
-379, -103, 0, 1
What is h in 134*h**4/5 - 834*h**3/5 + 1386*h**2/5 - 54*h = 0?
0, 15/67, 3
Factor -2*k**2/13 + 139690*k/13 - 419052/13.
-2*(k - 69842)*(k - 3)/13
Solve -2*a**2 + 187108*a - 4376175458 = 0 for a.
46777
Factor -2*h**2 + 3986*h + 52156.
-2*(h - 2006)*(h + 13)
Factor -j**2 - 12184*j - 182535.
-(j + 15)*(j + 12169)
Suppose 5*v**5 - 295*v**4 + 4475*v**3 - 3025*v**2 - 17980*v + 16820 = 0. What is v?
-2, 1, 2, 29
Factor -s**3/9 + 574*s**2/3 + 3448*s/9.
-s*(s - 1724)*(s + 2)/9
Factor -5*f**2 - 290*f - 4200.
-5*(f + 28)*(f + 30)
Solve 2*v**4/7 - 110*v**3/7 + 1192*v**2/7 + 1280*v = 0.
-5, 0, 28, 32
Determine k so that 4*k**5 - 912*k**4 + 11408*k**3 - 49400*k**2 + 81900*k - 43000 = 0.
1, 2, 5, 215
Solve 5*m**4 + 9460*m**3 + 4549300*m**2 + 70387520*m = 0 for m.
-938, -16, 0
Factor -2*b**3/5 + 95064*b**2/5 - 1129645512*b/5.
-2*b*(b - 23766)**2/5
Let 187909264*c**2 - 603152*c + 484 = 0. What is c?
11/6854
Suppose -c**4/2 - 47*c**3/2 + 1845*c**2/2 + 87075*c/2 = 0. What is c?
-45, 0, 43
Factor b**2/10 - 33998*b/5 + 135984/5.
(b - 67992)*(b - 4)/10
Let -2*o**2/5 + 9454*o/5 - 3780 = 0. What is o?
2, 4725
Factor -g**3/4 + 343*g**2/4 + 2512*g - 5365.
-(g - 370)*(g - 2)*(g + 29)/4
Solve -5*x**2/3 - 17835*x + 214100/3 = 0 for x.
-10705, 4
Determine o, given that o**2/3 + 10*o/3 - 1037 = 0.
-61, 51
Factor -4*y**5 + 196*y**4 - 2700*y**3 + 12796*y**2 - 3136*y - 82320.
-4*(y - 30)*(y - 7)**3*(y + 2)
Solve -45*z**3 + 179733*z**2/7 - 104292*z/7 - 10260/7 = 0.
-3/35, 2/3, 570
Factor 4*d**3 + 272*d**2 - 10752*d.
4*d*(d - 28)*(d + 96)
Factor -95194*u**2 - 16956*u + 64.
-2*(11*u + 2)*(4327*u - 16)
Let 3*w**5 - 72*w**4 + 498*w**3 - 792*w**2 + 363*w = 0. Calculate w.
0, 1, 11
Determine s so that 3*s**3/4 - 885*s**2/4 + 34125*s/4 + 5053125/4 = 0.
-55, 175
Find k such that -k**2 - 190670*k - 190669 = 0.
-190669, -1
Suppose 5*m**5 - 85*m**4 - 1775*m**3 - 5495*m**2 + 7350*m = 0. Calculate m.
-7, 0, 1, 30
Factor u**2 + 306*u - 29032.
(u - 76)*(u + 382)
Determine n, given that -n**2 + 114972*n + 114973 = 0.
-1, 114973
Solve k**3/10 - 218363*k**2/10 = 0.
0, 218363
Factor 5*h**2/3 - 16145*h/3 - 10770.
5*(h - 3231)*(h + 2)/3
Factor d**2 - 908*d + 1812.
(d - 906)*(d - 2)
Find y, given that -2*y**3/7 + 444*y**2/7 - 2178*y/7 + 248 = 0.
1, 4, 217
Find v such that -v**3 + 345*v**2 - 2018*v - 5424 = 0.
-2, 8, 339
Let -m**2 - 990*m - 7856 = 0. What is m?
-982, -8
Factor 2*r**2 + 59250*r - 118508.
2*(r - 2)*(r + 29627)
Let 2*i**5/13 - 682*i**4/13 + 3334*i**3/13 + 8722*i**2/13 + 4704*i/13 = 0. Calculate i.
-1, 0, 7, 336
What is l in -l**5/3 + 38*l**4/3 - 421*l**3/3 + 1004*l**2/3 + 1700*l/3 - 4624/3 = 0?
-2, 2, 4, 17
Suppose -5*y**4 + 2400*y**3 + 67230*y**2 + 612360*y + 1848015 = 0. What is y?
-9, 507
Factor 4*j**3 + 227*j**2 + 809*j + 742.
(j + 2)*(j + 53)*(4*j + 7)
Solve -3*b**5/2 + 287*b**4/4 - 1041*b**3 + 6033*b**2/2 + 43301*b/2 + 14079/4 = 0 for b.
-3, -1/6, 13, 19
What is c in -27*c**5 + 318*c**4 + 1719*c**3 + 1662*c**2 + 288*c = 0?
-3, -1, -2/9, 0, 16
Find g, given that 4*g**3 - 1276*g**2 + 14880*g - 44208 = 0.
6, 307
Let -13*x**3 + 856*x**2 + 1003*x + 134 = 0. Calculate x.
-1, -2/13, 67
Solve -u**2/6 + 769*u/6 + 1167 = 0 for u.
-9, 778
Let 5*w**4/4 - 1035*w**3/2 - 8085*w**2 + 35435*w/2 - 36465/4 = 0. Calculate w.
-17, 1, 429
Determine u so that 2*u**5 - 548*u**4 - 2278*u**3 + 15088*u**2 - 21160*u + 8896 = 0.
-8, 1, 2, 278
Let 8*o**5 + 477*o**4 + 7524*o**3 + 44599*o**2 + 82032*o - 37440 = 0. What is o?
-39, -8, -5, 3/8
Let 65*f**5 - 1115*f**4 - 20910*f**3 + 5320*f**2 + 485120*f - 468480 = 0. What is f?
-8, 1, 4, 366/13
Factor 15*u**3 - 31345*u**2 - 94170*u.
5*u*(u + 3)*(3*u - 6278)
Suppose 3*g**5 + 407*g**4 + 3726*g**3 + 9108*g**2 + 4536*g = 0. Calculate g.
-126, -6, -3, -2/3, 0
Factor 2*f**3 + 17076*f**2 + 36584946*f + 580995872.
2*(f + 16)*(f + 4261)**2
Solve 2*i**2/9 + 68710*i/9 - 549808/9 = 0.
-34363, 8
Suppose -9*j**4 - j**3 + 10*j**2 = 0. Calculate j.
-10/9, 0, 1
Factor 780*c**2 + 155*c.
5*c*(156*c + 31)
Determine a so that 81*a**4 - 21645*a**3 + 111529*a**2 - 184547*a + 94582 = 0.
1, 19/9, 262
Factor l**3/3 - 472*l**2/3 - 56431*l/3 - 55958/3.
(l - 571)*(l + 1)*(l + 98)/3
Suppose 4*g**3 + 32808*g**2 + 67207140*g - 269353744 = 0. What is g?
-4103, 4
Factor -5*s**5 - 5305*s**4 - 21140*s**3.
-5*s**3*(s + 4)*(s + 1057)
Determine b so that 82*b**2/23 - 398934*b/23 + 19460/23 = 0.
2/41, 4865
Solve -s**3/5 + 151*s**2/5 = 0.
0, 151
Determine l so that -5*l**3 + 75570*l**2 - 285616800*l + 570931360 = 0.
2, 7556
Suppose -4*h**5/3 + 581*h**4/3 - 18709*h**3/3 + 228397*h**2/3 - 987467*h/3 + 232882/3 = 0. Calculate h.
1/4, 13, 106
Determine y, given that y**3/2 - 3163*y**2/6 + 171541*y/6 - 18943/2 = 0.
1/3, 57, 997
Factor 9*l**2/5 - 25104*l/5 + 17505856/5.
(3*l - 4184)**2/5
Factor 2*v**3/9 + 92324*v**2/9 + 10258*v.
2*v*(v + 1)*(v + 46161)/9
Factor 25*i**3/9 + 163055*i**2/3 + 260872*i/3 + 313040/9.
(i + 19565)*(5*i + 4)**2/9
Let -81*t**5/5 - 7866*t**4/5 + 348383*t**3/5 - 3253668*t**2/5 = 0. Calculate t.
-132, 0, 157/9
Find p, given that 3*p**2/2 - 2800380*p + 1307021357400 = 0.
933460
Factor -3*h**4/5 - 20184*h**3/5 - 34110576*h**2/5 - 541900032*h/5 - 2162445312/5.
-3*(h + 8)**2*(h + 3356)**2/5
Factor 2*l**5 + 130*l**4 - 138*l**3 - 386*l**2 + 656*l - 264.
2*(l - 1)**3*(l + 2)*(l + 66)
Factor -4*i**5/7 + 929*i**4/7 - 54056*i**3/7 + 13456*i**2/7.
-i**2*(i - 116)**2*(4*i - 1)/7
Determine f so that 450*f**5 + 4940*f**4 - 41118*f**3 + 81408*f**2 - 46712*f + 8160 = 0.
-17, 2/5, 20/9, 3
Solve -m**3/8 - 57*m**2/8 + 323*m/4 - 201 = 0.
-67, 4, 6
Find f such that 2*f**5/13 - 38*f**4/13 - 144*f**3/13 + 248*f**2/13 + 352*f/13 = 0.
-4, -1, 0, 2, 22
Let -2*k**2/17 - 206724*k/17 - 826864/17 = 0. Calculate k.
-103358, -4
Determine k, given that -5*k**5 + 7160*k**4 + 2363090*k**3 + 178115080*k**2 + 175759155*k = 0.
-143, -1, 0, 1719
Find k such that 5*k**5 + 1720*k**4 + 6820*k**3 + 6800*k**2 = 0.
-340, -2, 0
Suppose -20*t**2 - 7927388*t - 3170952 = 0. What is t?
-396369, -2/5
Find m, given that 2*m**3/11 + 34712*m**2/11 = 0.
-17356, 0
Solve 72*a**3/7 + 4959888*a**2/7 + 1653290*a/7 + 19682 = 0 for a.
-68887, -1/6
Let 5*m**4 + 410*m**3 - 440*m**2 - 2090*m - 1245 = 0. What is m?
-83, -1, 3
Factor i**3/6 + 5485*i**2/3 + 30281713*i/6 + 179328534.
(i + 36)*(i + 5467)**2/6
Suppose 2*h**5 - 182*h**4 + 3858*h**3 + 12878*h**2 + 8836*h = 0. Calculate h.
-2, -1, 0, 47
Factor 4*q**2 - 572*q + 1680.
4*(q - 140)*(q - 3)
Factor 4*o**2 + 9252*o + 27720.
4*(o + 3)*(o + 2310)
Suppose -4*q**4 - 9528*q**3 + 952252*q**2 - 23789184*q + 22846464 = 0. What is q?
-2479, 1, 48
Solve k**2/11 - 9455*k/11 + 9454/11 = 0 for k.
1, 9454
Let -5*m**2 + 1070*m + 5475 = 0. What is m?
-5, 219
Suppose -4*m**2 - 1609928*m - 161991760324 = 0. Calculate m.
-201241
Factor 2*k**2/5 - 1638*k/5 - 1980.
2*(k - 825)*(k + 6)/5
Factor -2*o**3/5 + 92*o**2 - 2688*o/5.
-2*o*(o - 224)*(o - 6)/5
Factor 2*n**3 - 17434*n**2 + 38140800*n - 643365000.
2*(n - 4350)**2*(n - 17)
Solve -22*n**5/9 - 170*n**4/9 + 308*n**3/9 + 968*n**2/3 - 304*n - 576 = 0 for n.
-6, -1, 2, 36/11
Factor 3*i**3/8 - 3537*i**2/8 + 24780*i.
3*i*(i - 1120)*(i - 59)/8
Let -10*m**5/7 - 74*m**4 - 7996*m**3/7 - 32420*m**2/7 - 2806*m + 5290/7 = 0. What is m?
-23, -5, -1, 1/5
Determine t, given that 5*t**2/2 + 127555*t + 3254055605/2 = 0.
-25511
Let 2*n**5 - 164*n**4 + 1960*n**3 + 4100*n**2 - 50250*n = 0. Calculate n.
-5, 0, 5, 15, 67
Factor -2*u**3/3 - 968*u**2/3 + 2014*u/3 + 11340.
-2*(u - 7)*(u + 5)*(u + 486)/3
Suppose 3*j**2 + 365916*j + 731820 = 0. What is j?
-121970, -2
Factor 2*k**2/3 + 4900*k/3 - 1634.
2*(k - 1)*(k + 2451)/3
Determine x so that -5*x**2 + 620*x - 2400 = 0.
4, 120
Factor 2*a**2/13 - 322*a/13 + 6576/13.
2*(a - 137)*(a - 24)/13
Solv