2/7
Suppose -o**5/6 + 3*o**4/2 + 206*o**3/3 + 130*o**2 = 0. Calculate o.
-15, -2, 0, 26
Factor 2*k**2 + 3130*k + 24912.
2*(k + 8)*(k + 1557)
Let -3*c**4 - 2271*c**3 - 78840*c**2 - 700812*c = 0. What is c?
-721, -18, 0
Factor 3*c**4 - 150*c**3 - 1773*c**2 - 1620*c.
3*c*(c - 60)*(c + 1)*(c + 9)
Solve -d**4/2 + 434*d**3 - 100866*d**2 + 2902592*d - 22364672 = 0 for d.
16, 418
Factor 4*c**5 + 2592*c**4 - 36876*c**3 + 129752*c**2.
4*c**2*(c - 7)**2*(c + 662)
Let 2*q**4 - 76*q**3 + 650*q**2 - 1512*q = 0. Calculate q.
0, 4, 7, 27
Let 21*b**4 - 234*b**3 + 588*b**2 + 234*b - 609 = 0. What is b?
-1, 1, 29/7, 7
Solve -556*b**4 - 82852*b**3 - 83480*b**2 - 1184*b = 0.
-148, -1, -2/139, 0
Determine a, given that -3*a**5/5 + 27*a**4 - 504*a**3/5 + 492*a**2/5 = 0.
0, 2, 41
Solve 2*t**5 + 2912*t**4/3 - 91916*t**3/3 - 126752*t**2/3 - 31930*t/3 = 0.
-515, -1, -1/3, 0, 31
Find p such that 3*p**3 - 86151*p**2 + 618542640*p - 618456492 = 0.
1, 14358
Factor -3*b**3/5 + 654207*b**2/5 - 7133047893*b - 7133178735.
-3*(b - 109035)**2*(b + 1)/5
Factor -4*l**3 + 109268*l**2.
-4*l**2*(l - 27317)
Find h such that 3*h**2 + 2119771*h + 706590 = 0.
-706590, -1/3
Determine n, given that 4*n**5 - 100*n**4 - 384*n**3 + 1136*n**2 + 5632*n + 5376 = 0.
-3, -2, 4, 28
Factor 2*c**3/5 - 216*c**2/5 - 906*c/5 + 224.
2*(c - 112)*(c - 1)*(c + 5)/5
Solve 2*y**2 - 7660*y - 76800 = 0.
-10, 3840
Factor -14*o**3 - 33848*o**2 - 20453862*o + 5846724.
-2*(o + 1209)**2*(7*o - 2)
Determine p so that 30*p**5 - 6152*p**4 - 44344*p**3 + 52640*p**2 - 13568*p = 0.
-8, 0, 2/5, 2/3, 212
Factor l**5/8 + 3*l**4/2 - 2*l**3 - 17*l**2/4 + 63*l/8 - 13/4.
(l - 1)**3*(l + 2)*(l + 13)/8
Factor 3*v**2/7 - 2082*v/7 + 63552/7.
3*(v - 662)*(v - 32)/7
Factor 4*p**2/3 + 12358*p/3 + 6178/3.
2*(p + 3089)*(2*p + 1)/3
Let -4*g**3 + 532*g**2 - 5368*g = 0. What is g?
0, 11, 122
Factor 2299*y**2/6 + 14176*y - 259/6.
(y + 37)*(2299*y - 7)/6
Solve 3*b**4/8 - 33*b**3/8 - 4389*b**2/4 + 8853*b/2 - 4437 = 0.
-51, 2, 58
Factor -b**3/3 + 2564*b**2/3 + 5131*b/3 + 2566/3.
-(b - 2566)*(b + 1)**2/3
Suppose -3*o**4 + 141*o**3 - 267*o**2 - 141*o + 270 = 0. Calculate o.
-1, 1, 2, 45
Factor -5*y**2/2 - 36365*y + 72740.
-5*(y - 2)*(y + 14548)/2
Factor -4*f**3/7 - 1692*f**2/7 + 17284*f/7 - 15588/7.
-4*(f - 9)*(f - 1)*(f + 433)/7
Solve -5*b**2 - 92440*b - 427257680 = 0.
-9244
Suppose 14*s**5 + 2208*s**4 - 5168*s**3 - 7552*s**2 + 20448*s - 5120 = 0. Calculate s.
-160, -2, 2/7, 2
What is f in -202172*f**2 + 1010852*f + 40 = 0?
-2/50543, 5
Factor h**2 - 36*h + 308.
(h - 22)*(h - 14)
Suppose 3*l**4 + 3540*l**3 + 1044297*l**2 - 3540*l - 1044300 = 0. Calculate l.
-590, -1, 1
Factor -w**3/2 + 689*w**2/2 + 17400*w + 212256.
-(w - 737)*(w + 24)**2/2
Factor -4*o**3 - 11588*o**2 - 46288*o.
-4*o*(o + 4)*(o + 2893)
Solve -32*d**4/7 - 15308*d**3/7 - 5736*d**2/7 = 0.
-478, -3/8, 0
Factor v**2/8 + 1935*v/8 + 1449/2.
(v + 3)*(v + 1932)/8
Let -2*u**3 - 39494*u**2 - 195110160*u - 1363836600 = 0. What is u?
-9870, -7
Factor -3*g**3/8 - 1359*g**2/4 + 10935*g/8 + 6825/4.
-3*(g - 5)*(g + 1)*(g + 910)/8
Let -4*a**4/7 - 432*a**3/7 + 7668*a**2/7 + 5104*a + 37392/7 = 0. What is a?
-123, -2, 19
Find u such that 8*u**3 + 211*u**2 + 78*u = 0.
-26, -3/8, 0
Find h such that -2*h**4 + 1952*h**3 + 3910*h**2 + 1956*h = 0.
-1, 0, 978
Factor r**2/2 - 57395*r + 3294186025/2.
(r - 57395)**2/2
Factor r**3/5 - 984*r**2/5 + 26964*r/5 - 187376/5.
(r - 956)*(r - 14)**2/5
Factor 2*s**2/5 + 63532*s/5 + 127056/5.
2*(s + 2)*(s + 31764)/5
Factor 4*z**2/7 - 620*z/7 + 19800/7.
4*(z - 110)*(z - 45)/7
What is f in 4*f**4/7 + 1208*f**3/7 - 20844*f**2/7 - 22464*f - 251856/7 = 0?
-318, -3, 22
Suppose -3*j**4 - 35553*j**3 - 142161*j**2 + 35553*j + 142164 = 0. Calculate j.
-11847, -4, -1, 1
Solve 3*i**3 + 42870*i**2 + 153195936*i + 306220416 = 0.
-7144, -2
Find q such that q**3/4 + 147*q**2 + 16905*q - 1451576 = 0.
-322, 56
Solve 4*u**2/7 - 242684*u/7 + 69336 = 0.
2, 60669
Factor r**4 + 14*r**3 - 2355*r**2 + 37444*r - 65596.
(r - 23)**2*(r - 2)*(r + 62)
Suppose -p**4/5 + 146*p**3/5 - 299*p**2 + 270*p = 0. What is p?
0, 1, 10, 135
Factor -3*x**2/4 - 10041*x + 40167/4.
-3*(x - 1)*(x + 13389)/4
Factor -2*q**4/9 - 1436*q**3/9 - 312866*q**2/9 - 6190144*q/3.
-2*q*(q + 96)*(q + 311)**2/9
Factor 15*w**3/2 - 5793*w**2/2 + 559893*w/2 - 111747/2.
3*(w - 193)**2*(5*w - 1)/2
Solve u**2/2 - 613*u/2 - 19459 = 0.
-58, 671
Let -50*c**3/9 - 1491260*c**2/9 + 1193032*c/9 - 26512 = 0. What is c?
-29826, 2/5
Let -3*c**3 + 1101*c**2 - 126225*c + 4283847 = 0. Calculate c.
61, 153
Determine m, given that m**3/4 + 361*m**2/4 + 30107*m/4 - 454597/4 = 0.
-187, 13
Factor h**4/6 + 47*h**3/3 - 50*h**2 - 141*h + 873/2.
(h - 3)**2*(h + 3)*(h + 97)/6
Suppose -12*a**5 + 267*a**4 - 786*a**3 - 2412*a**2 + 648*a = 0. Calculate a.
-2, 0, 1/4, 6, 18
Solve 2*i**4/9 + 368*i**3/9 + 354*i**2 + 700*i = 0.
-175, -6, -3, 0
Factor -5*j**4 - 38660*j**3 - 74768430*j**2 - 149420900*j - 74691125.
-5*(j + 1)**2*(j + 3865)**2
Factor 5*z**2 - 425695*z.
5*z*(z - 85139)
Let -o**5/5 - 57123*o**4/5 - 815730719*o**3/5 + 815844967*o**2/5 + 163146144*o - 815787844/5 = 0. Calculate o.
-28562, -1, 1
What is v in -39*v**2/2 - 14663*v + 752 = 0?
-752, 2/39
Let -r**2/6 - 263*r/6 - 1775 = 0. What is r?
-213, -50
Factor -5*r**2/3 - 13550*r/3 + 9040.
-5*(r - 2)*(r + 2712)/3
Suppose -b**3 + 981*b**2 + 984*b - 1964 = 0. Calculate b.
-2, 1, 982
Let z**2/5 + 40829*z - 612444/5 = 0. Calculate z.
-204148, 3
Determine b so that 2*b**4 - 614*b**3 + 49184*b**2 - 310200*b - 360000 = 0.
-1, 8, 150
What is n in 21*n**4 - 216*n**3 + 312*n**2 + 1440*n - 432 = 0?
-2, 2/7, 6
Suppose -23*n**3/4 - 149*n**2 - 216*n + 1152 = 0. Calculate n.
-24, -4, 48/23
Suppose -22*p**4/7 + 288*p**3/7 - 884*p**2/7 + 96*p - 54/7 = 0. What is p?
1/11, 1, 3, 9
Factor g**2/2 - 313*g/2 - 54184.
(g - 521)*(g + 208)/2
Let l**3/5 - 771*l**2/5 + 8348*l/5 + 1824 = 0. Calculate l.
-1, 12, 760
Factor -4*p**2 - 388472*p - 9431905924.
-4*(p + 48559)**2
Factor z**2/5 - 35299*z/5 + 35298/5.
(z - 35298)*(z - 1)/5
Let 11*i**4 + 3624*i**3 - 9284*i**2 + 3984*i = 0. What is i?
-332, 0, 6/11, 2
What is v in -2*v**4/5 + 102*v**3/5 - 1758*v**2/5 + 12298*v/5 - 5808 = 0?
5, 11, 24
Find u such that -u**3/2 + 1133*u**2/2 - 179140*u + 10252850 = 0.
73, 530
Factor -m**2/2 - 80735*m + 161471/2.
-(m - 1)*(m + 161471)/2
Let 2*x**5 - 1854*x**4 + 1852*x**3 = 0. What is x?
0, 1, 926
What is x in x**5 + 7*x**4 - 87*x**3 + 161*x**2 + 86*x - 168 = 0?
-14, -1, 1, 3, 4
Solve 2*r**4/9 + 370*r**3/9 + 1816*r**2/9 + 2888*r/9 + 160 = 0 for r.
-180, -2, -1
Let -3*u**5/7 + 291*u**4/7 - 786*u**3/7 - 5892*u**2/7 + 23928*u/7 - 22560/7 = 0. What is u?
-5, 2, 4, 94
Factor -2*g**5/5 + 8758*g**4/5 - 24444*g**3.
-2*g**3*(g - 4365)*(g - 14)/5
Factor -2*t**4/5 - 22*t**3/5 - 78*t**2/5 - 18*t.
-2*t*(t + 3)**2*(t + 5)/5
Solve 2*g**2 + 26284*g + 524880 = 0 for g.
-13122, -20
Find h, given that -h**4/2 - 11*h**3/2 - 19*h**2/2 - 9*h/2 = 0.
-9, -1, 0
Determine i, given that -10*i**5/3 - 53*i**4 + 778*i**3/3 - 844*i**2/3 - 24*i + 160/3 = 0.
-20, -2/5, 1/2, 2
Find l such that -2*l**2/11 - 138288*l/11 - 138286/11 = 0.
-69143, -1
Solve 4*o**5 + 264*o**4 - 8952*o**3 - 28400*o**2 - 28908*o - 9720 = 0.
-90, -1, 27
Factor -2*o**2/11 - 732*o/11 - 66010/11.
-2*(o + 161)*(o + 205)/11
Find j such that 2*j**5/3 - 104*j**4/3 + 976*j**3/3 + 17540*j**2/3 - 69318*j + 63180 = 0.
-13, 1, 10, 27
Find x such that 36*x**3 - 9400*x**2 + 1012*x + 8352 = 0.
-8/9, 1, 261
Factor 2*p**2 + 1562*p + 7760.
2*(p + 5)*(p + 776)
Factor q**3/6 - 11*q**2/2 - 1321*q/6 + 4611/2.
(q - 53)*(q - 9)*(q + 29)/6
Solve -3*i**4 - 144*i**3 - 444*i**2 + 3600*i - 4224 = 0.
-44, -8, 2
Let -4*z**5 - 444*z**4 + 8524*z**3 - 22868*z**2 + 21960*z - 7168 = 0. Calculate z.
-128, 1, 14
Solve -4*q**3 + 900*q**2 - 18348*q + 98252 = 0.
11, 203
Factor -4*d**2 + 49*d + 39.
-(d - 13)*(4*d + 3)
Determine x so that 2*x**4/3 + 190*x**3/3 + 2452*x**2/3 + 4160*x/3 = 0.
-80, -13, -2, 0
Let -3*m**5 + 264*m**4 - 5199*m**3 + 39714*m**2 - 122904*m + 124416 = 0. Calculate m.
2, 4, 9, 64
Find b, given that -4*b**4 + 396*b**3 + 1216*b**2 + 816*b = 0.
-2, -1, 0, 102
Factor 12*s**3 - 6980*s**2 + 11592*s + 4640.
4*(s - 580)*(s - 2)*(3*s + 1)
Solve 4386*x**3/5 - 12439*x**2/5 - 2159*x/5 + 6/5 = 0.
-1/6, 2/731, 3
Determine w so that w**5/5 + 23*w*