8)*(s - 1)*(s + 1254)
Factor 2*s**3/7 - 12542*s**2/7.
2*s**2*(s - 6271)/7
Let 50*f**5/19 + 5960*f**4/19 + 176658*f**3/19 + 31300*f**2/19 - 111368*f/19 + 28080/19 = 0. Calculate f.
-65, -54, -1, 2/5
Factor 5*q**3 + 30270*q**2 - 728640*q + 4376160.
5*(q - 12)**2*(q + 6078)
Factor -3*w**3/2 + 465*w**2/2 + 951*w/2 - 1413/2.
-3*(w - 157)*(w - 1)*(w + 3)/2
Factor -4*r**4 - 16*r**3 + 1660*r**2 + 1672*r.
-4*r*(r - 19)*(r + 1)*(r + 22)
Let -2*n**3 - 45112*n**2 + 90230*n - 45116 = 0. Calculate n.
-22558, 1
Factor 2*l**3 - 10*l**2 - 146*l + 154.
2*(l - 11)*(l - 1)*(l + 7)
Let 3*v**2 - 5499*v + 65556 = 0. Calculate v.
12, 1821
Factor -5*b**3 - 285*b**2 + 7920*b + 16940.
-5*(b - 22)*(b + 2)*(b + 77)
Factor -2*k**4 + 20*k**3 + 112*k**2 - 1620*k + 4050.
-2*(k - 9)*(k - 5)**2*(k + 9)
Factor -3*q**2/2 + 4383*q/2 + 64815.
-3*(q - 1490)*(q + 29)/2
Factor 4*l**2 - 109872*l - 329652.
4*(l - 27471)*(l + 3)
Find u such that -12769*u**4 - 1593865*u**3 - 1300956*u**2 + 267740*u - 12400 = 0.
-124, -1, 10/113
Determine f, given that -4*f**4/9 + 80*f**3/3 - 2932*f**2/9 + 1720*f/3 - 2464/9 = 0.
1, 14, 44
Factor -4*z**3/7 + 312*z**2/7 - 2288*z/7 + 480.
-4*(z - 70)*(z - 6)*(z - 2)/7
Suppose -y**2 + 21971*y - 21970 = 0. Calculate y.
1, 21970
Find w such that w**4 + 174*w**3 - 5109*w**2 + 18134*w - 13200 = 0.
-200, 1, 3, 22
Find j, given that 2*j**4/9 + 40*j**3/9 - 50*j**2/3 - 1420*j/9 - 1232/9 = 0.
-22, -4, -1, 7
Let u**5/6 + 35*u**4/2 + 69*u**3/2 + 103*u**2/6 = 0. What is u?
-103, -1, 0
Factor 2*t**2/7 + 470*t/7 - 28500/7.
2*(t - 50)*(t + 285)/7
Factor -3*f**4 - 71304*f**3 - 71301*f**2.
-3*f**2*(f + 1)*(f + 23767)
Factor 3*q**4 - 477*q**3 + 3138*q**2 + 8208*q.
3*q*(q - 152)*(q - 9)*(q + 2)
Factor 5*o**2 - 15380*o - 169785.
5*(o - 3087)*(o + 11)
Factor -3*a**2 + 97305*a - 194598.
-3*(a - 32433)*(a - 2)
Factor 5*j**4 - 2070*j**3 + 254945*j**2 - 8424900*j + 82824500.
5*(j - 185)**2*(j - 22)**2
Find p, given that -2*p**4 - 538*p**3/3 - 634*p**2 - 854*p/3 + 172 = 0.
-86, -3, -1, 1/3
Let -2*o**4/9 + 29118*o**3 = 0. What is o?
0, 131031
Solve i**3/2 - 109*i**2 - 231*i/2 + 1314 = 0 for i.
-4, 3, 219
Determine z, given that -2*z**2/19 - 7096*z/19 - 7094/19 = 0.
-3547, -1
Factor 1546*x**4/7 - 2652*x**3 + 55800*x**2/7 - 432*x/7.
2*x*(x - 6)**2*(773*x - 6)/7
Determine p so that p**3/5 - 224*p**2/5 + 16269*p/5 - 75690 = 0.
50, 87
Suppose 4*z**5/3 - 130*z**4/3 - 270*z**3 - 980*z**2/3 - 304*z/3 = 0. What is z?
-4, -1, -1/2, 0, 38
Suppose 2*d**3/3 - 2180*d**2/3 + 224114*d/3 + 75640488 = 0. What is d?
-252, 671
Factor -o**4/4 - 333*o**3/4 - 4695*o**2/2 - 22975*o - 75750.
-(o + 10)**3*(o + 303)/4
Suppose -76*z**2/3 + 2642*z - 2288/3 = 0. Calculate z.
11/38, 104
Solve j**2/3 + 60764*j/3 + 923065924/3 = 0 for j.
-30382
Find k such that -k**2/5 + 89792*k/5 - 2015650816/5 = 0.
44896
Factor 2*h**2/5 + 43254*h/5 - 43256/5.
2*(h - 1)*(h + 21628)/5
Factor 5*v**3/6 - 40465*v**2/6 - 20240*v.
5*v*(v - 8096)*(v + 3)/6
Determine i, given that -44*i**3 - 5288*i**2 + 26540*i + 5000 = 0.
-125, -2/11, 5
Factor 2*m**3 + 20644*m**2 + 53784192*m + 2637849600.
2*(m + 50)*(m + 5136)**2
Let -4*g**3 + 2968*g**2 - 462884*g + 20624528 = 0. What is g?
97, 548
Suppose -o**2 - 39954*o - 39953 = 0. What is o?
-39953, -1
Suppose 2*y**5/7 + 6*y**4/7 - 194*y**3/7 + 778*y**2/7 - 144*y + 416/7 = 0. Calculate y.
-13, 1, 4
Solve -n**5/4 - 1669*n**4/2 - 697223*n**3 - 1387774*n**2 + 2788896*n + 5564448 = 0 for n.
-1668, -2, 2
Solve s**4/8 + 15*s**3/8 - 69*s**2/4 - 259*s - 240 = 0 for s.
-16, -10, -1, 12
Factor 5228*j**4 - 31360*j**3 + 62688*j**2 - 41728*j - 64.
4*(j - 2)**3*(1307*j + 2)
Find j, given that -16*j**5 + 162*j**4 + 1116*j**3 + 818*j**2 - 120*j = 0.
-4, -1, 0, 1/8, 15
Solve 3*k**2/2 - 657*k/2 - 2724 = 0 for k.
-8, 227
Determine a so that 2*a**2/9 - 104*a - 6650/9 = 0.
-7, 475
Determine n, given that -47*n**4/4 + 25*n**3/2 + 199*n**2 + 327*n/2 - 45/4 = 0.
-3, -1, 3/47, 5
Find q, given that -4*q**2 + 39232*q - 96196864 = 0.
4904
Let 4*r**5 - 1896*r**4 + 196628*r**3 - 5777904*r**2 - 5976432*r = 0. What is r?
-1, 0, 66, 343
Factor 385*y**2 - 644488*y - 3348.
(y - 1674)*(385*y + 2)
Factor 15*b**3/2 - 39309*b**2/2 - 78663*b/2 - 39339/2.
3*(b + 1)**2*(5*b - 13113)/2
Factor 3*m**5 - 2070*m**4 + 413775*m**3 - 19561500*m**2 + 267907500*m.
3*m*(m - 315)**2*(m - 30)**2
Suppose -k**2/3 - 8306*k/3 + 16616/3 = 0. What is k?
-8308, 2
Factor k**2/2 - 164353*k/2 + 164351.
(k - 164351)*(k - 2)/2
Factor -22941*d**2 + 2064696*d - 540.
-3*(d - 90)*(7647*d - 2)
Let -5*a**4 + 230*a**3 + 780*a**2 - 2230*a + 1225 = 0. Calculate a.
-5, 1, 49
Let 2*i**4/5 - 48*i**3/5 - 68*i**2/5 + 432*i/5 + 90 = 0. Calculate i.
-3, -1, 3, 25
Let 2*a**2/13 - 100*a/13 - 3750/13 = 0. What is a?
-25, 75
Find a such that 2*a**5/7 - 76*a**3/7 + 144*a**2/7 - 10*a = 0.
-7, 0, 1, 5
Factor k**2/2 + 1191969*k + 1420790096961/2.
(k + 1191969)**2/2
Let n**3 - 6*n**2 - 79*n - 156 = 0. Calculate n.
-4, -3, 13
Let -c**2/2 + 7087*c/2 - 53040 = 0. What is c?
15, 7072
Factor 4*g**3 + 56*g**2 - 7644*g + 98784.
4*(g - 21)**2*(g + 56)
Factor 6*y**3/5 + 3936*y**2/5 - 1578*y + 3948/5.
6*(y - 1)**2*(y + 658)/5
Solve 2*x**5 - 16*x**4 + 28*x**3 + 16*x**2 - 30*x = 0 for x.
-1, 0, 1, 3, 5
Factor 2*m**2 - 100*m + 1122.
2*(m - 33)*(m - 17)
Let 4*d**4 + 152*d**3 - 12240*d**2 + 210600*d - 1120500 = 0. What is d?
-83, 15
Factor u**3/5 + 364*u**2 - 34923*u/5 + 33102/5.
(u - 18)*(u - 1)*(u + 1839)/5
Factor -5*l**3 - 4850*l**2 + 169235*l - 1450780.
-5*(l - 17)**2*(l + 1004)
Factor -5*x**2/6 + 106955*x/3 - 2287874405/6.
-5*(x - 21391)**2/6
Find v such that -5*v**3 + 4270*v**2 + 86900*v + 437000 = 0.
-10, 874
Let 260*h**4 + 5364020*h**3 + 4538625*h**2 + 515740*h - 206300 = 0. What is h?
-20630, -1/2, 2/13
Let 8*c**5 + 50*c**4 + 64*c**3 - 146*c**2 - 384*c - 216 = 0. Calculate c.
-3, -9/4, -2, -1, 2
Find w, given that 20*w**3 + 498*w**2 - 1130*w + 108 = 0.
-27, 1/10, 2
Determine n so that 670*n**5 + 9387*n**4 - 32738*n**3 + 22353*n**2 + 532*n - 204 = 0.
-17, -1/10, 6/67, 1, 2
What is m in 2*m**4 + 16788*m**3 - 100776*m**2 + 201584*m - 134400 = 0?
-8400, 2
Factor s**2 - 28*s - 6045.
(s - 93)*(s + 65)
Factor -3*n**3/7 - 2988*n**2/7 - 761616*n/7 - 8714304/7.
-3*(n + 12)*(n + 492)**2/7
Let p**4/7 + 4*p**3 + 194*p**2/7 + 452*p/7 + 285/7 = 0. Calculate p.
-19, -5, -3, -1
Factor -2*q**4/9 - 730*q**3/9 - 65504*q**2/9 + 67712*q/3.
-2*q*(q - 3)*(q + 184)**2/9
Factor 3*c**2 + 11901*c - 71514.
3*(c - 6)*(c + 3973)
Factor -b**4/3 - 1181*b**3.
-b**3*(b + 3543)/3
Find n, given that -4*n**4 - 1232*n**3 - 13228*n**2 - 47712*n - 57024 = 0.
-297, -4, -3
Solve -4*a**5 + 4*a**4 + 912*a**3 - 7312*a**2 + 15616*a - 9216 = 0 for a.
-18, 1, 2, 8
Factor -4*y**2 - 1096*y - 50740.
-4*(y + 59)*(y + 215)
Determine b, given that -4*b**2 + 197656*b - 2441743396 = 0.
24707
Determine i, given that -5*i**5/4 + 193*i**4/2 + 1649*i**3/2 + 380*i**2 - 6389*i/4 + 595/2 = 0.
-7, -2, 1/5, 1, 85
Factor 3*t**2 + 5642*t/5 + 752/5.
(t + 376)*(15*t + 2)/5
Let 44*a**5 + 1944*a**4 + 10208*a**3 - 5952*a**2 - 41536*a - 7296 = 0. What is a?
-38, -6, -2, -2/11, 2
Let -5*r**2 + 106700*r - 569244500 = 0. Calculate r.
10670
Factor -3*q**2 - 720*q - 24477.
-3*(q + 41)*(q + 199)
Suppose b**2/3 - 2959*b/3 + 986 = 0. What is b?
1, 2958
What is i in -4*i**5 + 52*i**4 + 852*i**3 - 6228*i**2 - 36288*i + 221616 = 0?
-9, 6, 19
Solve 2*z**2 - 47458*z + 47456 = 0.
1, 23728
Factor 2*t**5/5 + 3978*t**4/5 + 7948*t**3/5.
2*t**3*(t + 2)*(t + 1987)/5
Determine t so that 2*t**2/19 - 35962*t/19 + 35960/19 = 0.
1, 17980
Let -4*h**5 + 20416*h**4 + 8*h**3 - 40832*h**2 - 4*h + 20416 = 0. What is h?
-1, 1, 5104
Determine s, given that -98*s**4 - 10899*s**3/2 + 15441*s**2/2 - 3412*s + 456 = 0.
-57, 1/4, 4/7
Factor -3*b**4 - 294*b**3 - 2976*b**2 - 9210*b - 6525.
-3*(b + 1)*(b + 5)**2*(b + 87)
Factor 99*w**2/7 - 489*w/7 + 390/7.
3*(w - 1)*(33*w - 130)/7
Factor 4*z**2 - 504*z + 5876.
4*(z - 113)*(z - 13)
Let -i**3/5 - 307*i**2/5 - 3266*i/5 - 592 = 0. Calculate i.
-296, -10, -1
Let -y**2/7 + 7766*y = 0. What is y?
0, 54362
Solve o**3/8 - 40431*o**2/8 - 161745*o/8 + 202175/8 = 0 for o.
-5, 1, 40435
Find c such that 2*c**3/5 - 16*c**2/5 - 58*c/5 + 72 = 0.
-5, 4, 9
Factor -5*k**3 + 14535*k**2 - 745680*k + 9649900.
-5*(k - 2855)*(k - 26)**2
What is d in -3*d**2/7 + 801*d/7 - 51948/7 = 0