47
Determine s, given that -2*s**2/11 + 256*s/11 - 4494/11 = 0.
21, 107
Solve -2*f**3/13 + 286846*f**2/13 - 10285508720*f/13 + 30853944600/13 = 0 for f.
3, 71710
Factor -5*f**2 + 10490*f + 42040.
-5*(f - 2102)*(f + 4)
Factor -15*t**2 + 259596*t - 103836.
-3*(t - 17306)*(5*t - 2)
What is i in i**3/2 + 94*i**2 + 2735*i/2 - 1462 = 0?
-172, -17, 1
Solve 2*w**4/11 + 120*w**3/11 + 2206*w**2/11 + 11592*w/11 = 0.
-28, -23, -9, 0
Factor -d**2/4 + 309*d/4 + 234.
-(d - 312)*(d + 3)/4
Factor -4*s**3/3 + 152*s**2/3 - 1184*s/3 + 1792/3.
-4*(s - 28)*(s - 8)*(s - 2)/3
Find g such that 4*g**2 + 351532*g + 351528 = 0.
-87882, -1
Factor -351*p**2 + 149*p.
-p*(351*p - 149)
Solve -75*q**5/4 - 1449315*q**4/4 + 652272*q**3 + 376830*q**2 - 521796*q + 115956 = 0 for q.
-19326, -1, 2/5, 2
Factor -2*b**3 - 1964*b**2 - 15608*b - 23376.
-2*(b + 2)*(b + 6)*(b + 974)
Suppose 4*t**3 - 1764*t**2 + 53984*t - 52224 = 0. What is t?
1, 32, 408
Factor 4*g**2 - 2908504*g + 528712219876.
4*(g - 363563)**2
Factor 3*n**4 + 897159*n**3 + 89432995860*n**2 + 2971739207835216*n + 2971649775736512.
3*(n + 1)*(n + 99684)**3
Factor -5*k**3 + 439950*k**2 - 2199645*k + 1759700.
-5*(k - 87985)*(k - 4)*(k - 1)
Factor 4*h**2 - 812*h + 17184.
4*(h - 179)*(h - 24)
Factor i**2/5 + 168211*i/5 + 336418/5.
(i + 2)*(i + 168209)/5
Solve -4*u**2 - 192*u = 0 for u.
-48, 0
Suppose -5*v**3 - 25250*v**2 + 709940*v - 4976440 = 0. Calculate v.
-5078, 14
Suppose -20*w**4 - 136*w**3 + 368*w**2 - 248*w + 36 = 0. Calculate w.
-9, 1/5, 1
Factor 4*j**3/5 - 4868*j**2/5 - 14632*j/5 - 1952.
4*(j - 1220)*(j + 1)*(j + 2)/5
Factor -2*c**2/3 - 2780*c - 8338/3.
-2*(c + 1)*(c + 4169)/3
Factor -g**2/3 + 107*g/3 + 1370.
-(g - 137)*(g + 30)/3
Solve 215*p**2 - 44*p = 0 for p.
0, 44/215
Factor 4*m**4 + 692*m**3 - 696*m**2.
4*m**2*(m - 1)*(m + 174)
Factor 5*d**5 - 25*d**4 - 15*d**3 + 85*d**2 - 50*d.
5*d*(d - 5)*(d - 1)**2*(d + 2)
Let -x**2/3 - 3342*x + 10029 = 0. Calculate x.
-10029, 3
Determine c, given that -2*c**3/5 - 738*c**2/5 + 18576*c/5 - 113184/5 = 0.
-393, 12
Suppose -640*b**5 - 2836*b**4 - 472*b**3 + 2804*b**2 + 1112*b + 32 = 0. What is b?
-4, -1, -2/5, -1/32, 1
Determine k, given that -2*k**2/13 - 1783208*k/13 - 397478846408/13 = 0.
-445802
Factor -4*g**2/5 + 3368*g/5 - 210528/5.
-4*(g - 774)*(g - 68)/5
Factor -3*n**5 - 30492*n**4 - 304695*n**3 - 761550*n**2.
-3*n**2*(n + 5)**2*(n + 10154)
Let -18*g**5/5 + 260*g**4 - 6318*g**3/5 - 72316*g**2/5 + 94776*g/5 - 17424/5 = 0. What is g?
-6, 2/9, 1, 11, 66
Suppose -2*z**3/5 - 484*z**2/5 - 28978*z/5 + 29464/5 = 0. What is z?
-127, -116, 1
Solve 24*u**5 - 311482*u**4 + 2257970*u**3/3 - 1894546*u**2/3 + 648806*u/3 - 25952 = 0.
1/3, 3/4, 1, 12976
Let -2*w**2/11 + 443402*w/11 + 443404/11 = 0. What is w?
-1, 221702
Factor 2*i**3/9 + 1150*i**2/9 - 10064*i + 186336.
2*(i - 36)**2*(i + 647)/9
Factor s**2 - 2186*s - 150951.
(s - 2253)*(s + 67)
Determine q, given that -2*q**3/11 + 2138*q**2/11 + 34690*q/11 + 32550/11 = 0.
-15, -1, 1085
Determine f, given that -4*f**2/7 - 293858*f/7 + 20990 = 0.
-73465, 1/2
Solve -2*m**3/5 + 18918*m**2/5 + 75696*m/5 + 75704/5 = 0 for m.
-2, 9463
Let 2*b**4/3 + 140*b**3/3 + 1298*b**2/3 = 0. What is b?
-59, -11, 0
Determine s so that -3*s**4 + 45*s**3 + 933*s**2 - 4365*s - 5250 = 0.
-14, -1, 5, 25
Factor r**2/7 + 92140*r/7 + 276411/7.
(r + 3)*(r + 92137)/7
Determine j, given that 3*j**4 - 3048*j**3 + 777222*j**2 - 1533168*j - 2313441 = 0.
-1, 3, 507
Determine t, given that 81*t**5/2 + 13752*t**4 + 2278885*t**3/2 - 4766075*t**2 + 1278542*t + 7170348 = 0.
-1546/9, -1, 2, 3
Factor 4*j**2/9 - 2204*j/3 - 22440.
4*(j - 1683)*(j + 30)/9
What is t in -t**4 + 189*t**3 + 206*t**2 - 3060*t + 3800 = 0?
-5, 2, 190
Let -5*b**2/4 - 5865*b/4 + 5875/2 = 0. Calculate b.
-1175, 2
Suppose -r**2/2 - 266*r + 534 = 0. Calculate r.
-534, 2
Solve 2*d**4/5 - 168*d**3/5 + 246*d**2 - 1064*d/5 = 0.
0, 1, 7, 76
Factor -g**3 - 5499*g**2.
-g**2*(g + 5499)
Let 3*h**4/2 + 54429*h**3/2 + 164520675*h**2 + 331014708750*h - 2325173812500 = 0. Calculate h.
-6050, 7
Suppose 10*k**5 - 3016*k**4 - 71278*k**3 - 420068*k**2 - 156816*k = 0. What is k?
-11, -2/5, 0, 324
Factor -j**2/2 + 13965*j/2 + 20952.
-(j - 13968)*(j + 3)/2
Find w such that -5*w**3/6 - 1430*w**2/3 + 34865*w/6 - 51100/3 = 0.
-584, 5, 7
Factor -y**2/2 - 4253*y.
-y*(y + 8506)/2
What is h in -h**5/9 - 11*h**4 + 67*h**3/3 - 101*h**2/9 = 0?
-101, 0, 1
Factor -18*o**3 + 3980*o**2 + 28286*o - 3192.
-2*(o - 228)*(o + 7)*(9*o - 1)
Find m such that -m**3/4 + 63307*m**2/4 + 126617*m/4 + 63309/4 = 0.
-1, 63309
Let q**3/4 + q**2/2 - 735*q/4 + 1800 = 0. Calculate q.
-32, 15
Factor -k**4/2 + 38*k**3 + 469*k**2 + 822*k + 783/2.
-(k - 87)*(k + 1)**2*(k + 9)/2
Factor -v**4/4 + 28*v**3 - 945*v**2/4 + 927*v/2.
-v*(v - 103)*(v - 6)*(v - 3)/4
Factor 3*i**2/7 + 2877870*i/7 + 690177978075/7.
3*(i + 479645)**2/7
Factor 5*f**3 - 30395*f**2 - 213010*f.
5*f*(f - 6086)*(f + 7)
Determine q so that 5*q**4 - 1055750*q**3 + 3167220*q**2 - 3167210*q + 1055735 = 0.
1, 211147
Factor 34*o**3/7 - 6636*o**2 + 15871554*o/7 - 3731912/7.
2*(o - 683)**2*(17*o - 4)/7
Let s**4 - 78859*s**3 + 315425*s**2 - 394277*s + 157710 = 0. Calculate s.
1, 2, 78855
Factor -y**4/5 - y**3/5 + 12*y**2 - 108*y/5.
-y*(y - 6)*(y - 2)*(y + 9)/5
Let 7*r**4/9 - 36*r**3 - 24275*r**2/9 + 3516*r - 7052/9 = 0. What is r?
-41, 2/7, 1, 86
Factor -3*l**3 + 516*l**2 - 21600*l.
-3*l*(l - 100)*(l - 72)
Let -4*k**5 - 220*k**4 - 1104*k**3 + 11520*k**2 = 0. Calculate k.
-48, -12, 0, 5
Factor -54*y**3 + 37852*y**2 - 6613542*y - 6899256.
-2*(y - 351)**2*(27*y + 28)
Suppose -2*m**4/3 + 598*m**3/3 - 17488*m**2 + 470184*m + 487872 = 0. Calculate m.
-1, 66, 168
Let -d**3/5 + 367508*d**2/5 - 6753033001*d - 13506360010 = 0. Calculate d.
-2, 183755
Find f such that -5*f**2 - 1194895*f + 1194900 = 0.
-238980, 1
Determine m, given that -m**4/6 + 127*m**3/2 - 22489*m**2/6 - 23383*m/2 - 23639/3 = 0.
-2, -1, 77, 307
Determine q so that 2*q**4/7 + 482*q**3/7 - 36258*q**2/7 + 620062*q/7 - 584288/7 = 0.
-304, 1, 31
Solve s**4/6 + 442*s**3/3 - 30470*s**2/3 - 127168*s/3 - 42976 = 0 for s.
-948, -2, 68
Determine c so that 3*c**3 - 87*c**2 + 645*c - 561 = 0.
1, 11, 17
Determine y so that 5*y**4/6 + 110*y**3/3 + 130*y**2 - 440*y/3 - 1600/3 = 0.
-40, -4, -2, 2
Factor -279*s**3 + 568*s**2 - 4*s - 32.
-(s - 2)*(9*s + 2)*(31*s - 8)
Determine r, given that 4*r**4 + 8336*r**3 - 33420*r**2 - 24984*r + 150336 = 0.
-2088, -2, 3
Factor -2*l**3/9 + 1694*l**2/3 - 53696*l/3 + 1284608/9.
-2*(l - 2509)*(l - 16)**2/9
Factor -3*q**4 - 54*q**3 + 27*q**2 + 486*q.
-3*q*(q - 3)*(q + 3)*(q + 18)
Factor 6*b**2/11 - 484248*b/11 + 9770671896/11.
6*(b - 40354)**2/11
Determine j, given that 768*j**4/7 + 3792*j**3 - 11736*j**2/7 + 843*j/7 + 15 = 0.
-35, -1/16, 1/4
Find t, given that -2*t**3/7 - 144*t**2/7 - 2056*t/7 - 864 = 0.
-54, -14, -4
What is y in -4*y**2 - 182144*y - 728512 = 0?
-45532, -4
Factor -5*v**2 + 251065*v - 251060.
-5*(v - 50212)*(v - 1)
Let -2*y**2/7 + 71066*y/7 - 639432/7 = 0. Calculate y.
9, 35524
Solve -35*x**5 + 573*x**4/2 - 436*x**3 - 1273*x**2/2 + 141*x + 20 = 0.
-1, -1/10, 2/7, 4, 5
Factor -5*j**2 - 490*j + 19995.
-5*(j - 31)*(j + 129)
Factor -3*o**2/4 - 198747*o/2 - 13166790003/4.
-3*(o + 66249)**2/4
Factor -2*v**5 - 68*v**4 - 600*v**3 - 1584*v**2.
-2*v**2*(v + 6)**2*(v + 22)
Find p such that 5*p**4 - 24153*p**3 + 38628*p**2 + 19316*p = 0.
-2/5, 0, 2, 4829
Solve -2*x**5/3 - 998*x**4/3 - 109772*x**3/3 + 682744*x**2/3 - 1381616*x/3 + 926464/3 = 0 for x.
-329, -176, 2
Factor 2*o**4 - 130*o**3 + 600*o**2.
2*o**2*(o - 60)*(o - 5)
Determine a, given that -a**5 - 516*a**4 - 11827*a**3 - 9252*a**2 + 47324*a + 45264 = 0.
-492, -23, -2, -1, 2
Find m such that -1224*m**2 + 7340*m/3 + 8/3 = 0.
-1/918, 2
Factor w**3/4 + 2092*w**2 + 4183*w.
w*(w + 2)*(w + 8366)/4
Factor 2*d**2/15 - 3726*d/5 - 213104/15.
2*(d - 5608)*(d + 19)/15
Solve 2*i**2 - 4256*i - 8520 = 0 for i.
-2, 2130
What is c in 16*c**4 + 1468*c**3 + 19088*c**2 - 4864*c = 0?
-76, -16, 0, 1/4
Factor 2*f**2/11 + 544080*f/11 + 37002880800/11.
2*(f + 136020)**2/11
Factor 4*h**4 - 2668*h**3 - 8032*h**2 - 5360*h.
4*h*(h - 670)*(h + 1)*(h + 2)
Factor d**3 + 14*d**2 - 40*d - 128.
(d - 4)*(d + 2)*(d + 16)
Find j such that -6*j**5/13 - 1028*j**4/13 - 38478*j**3/13 - 402088*j**2/13 + 298752*j/13 