o + 4)
Solve 2*x**3/5 + 430392*x**2/5 - 172158*x + 430396/5 = 0.
-215198, 1
Factor -3*d**3/2 + 59487*d**2 - 237939*d/2 + 59484.
-3*(d - 39656)*(d - 1)**2/2
Solve -26*f**2/9 - 77944*f/9 + 11992/9 = 0 for f.
-2998, 2/13
Find l such that -6*l**4/7 - 88*l**3/7 + 10*l**2 + 624*l/7 + 360/7 = 0.
-15, -2, -2/3, 3
Solve -5*b**5 + 5*b**4 + 75*b**3 + 115*b**2 + 50*b = 0.
-2, -1, 0, 5
Find a, given that -10*a**2 + 482*a = 0.
0, 241/5
Factor 4*r**2 + 11427792*r + 8162151874704.
4*(r + 1428474)**2
Factor -o**2/10 - 7543*o/5 + 15087/10.
-(o - 1)*(o + 15087)/10
Solve 6*t**5/5 + 96*t**4/5 + 324*t**3/5 + 456*t**2/5 + 294*t/5 + 72/5 = 0.
-12, -1
Factor 4*n**3 + 9612*n**2 - 19236*n + 9620.
4*(n - 1)**2*(n + 2405)
Find w such that -50*w**5/7 + 23430*w**4/7 + 127448*w**3/7 + 251712*w**2/7 + 216000*w/7 + 68256/7 = 0.
-2, -6/5, -1, 474
Factor -l**3/4 - 1009*l**2/4 - 18088*l - 336813.
-(l + 38)**2*(l + 933)/4
Solve -53*x**4/3 + 7259*x**3/9 - 27887*x**2/9 - 24355*x/9 + 3650/3 = 0 for x.
-1, 1/3, 5, 2190/53
Let 3*q**5/4 - 237*q**4/4 + 3279*q**3/2 - 37317*q**2/2 + 269919*q/4 + 351351/4 = 0. What is q?
-1, 13, 21, 33
Find u, given that 4*u**4 - 688*u**3 + 6548*u**2 - 11048*u + 5184 = 0.
1, 8, 162
Let 3*u**4 - 2340*u**3 + 129951*u**2 - 252894*u + 125280 = 0. Calculate u.
1, 58, 720
Factor -3*i**3/2 - 3885*i**2/2 - 631788*i - 1877922.
-3*(i + 3)*(i + 646)**2/2
Determine n so that -2*n**4/13 + 7344*n**3/13 - 87754*n**2/13 - 314700*n/13 - 219600/13 = 0.
-2, -1, 15, 3660
Solve 163*a**4/9 - 20210*a**3/9 - 105383*a**2/9 - 430*a/3 = 0 for a.
-5, -2/163, 0, 129
Solve 5*v**4 - 20145*v**3 - 80675*v**2 + 60405*v + 362970 = 0.
-3, 2, 4033
Factor -u**2/4 - 784*u.
-u*(u + 3136)/4
Determine g, given that -g**4/5 - 3236*g**3/5 + 16206*g**2/5 + 3236*g/5 - 3241 = 0.
-3241, -1, 1, 5
Let i**5/5 - 79*i**4/5 + 1938*i**3/5 - 15052*i**2/5 + 40936*i/5 - 27744/5 = 0. Calculate i.
1, 4, 6, 34
Suppose 2*t**5/7 - 30*t**4/7 + 138*t**3/7 - 194*t**2/7 + 12*t = 0. What is t?
0, 1, 6, 7
Let -458*w**2/5 - 75124*w/5 - 1968/5 = 0. Calculate w.
-164, -6/229
Suppose 4334724*z**4 + 26016672*z**3 + 39062488*z**2 + 74976*z + 36 = 0. What is z?
-3, -1/1041
Find u, given that 3*u**4/2 + 77*u**3/2 - 476*u**2 + 506*u + 560 = 0.
-35, -2/3, 2, 8
What is y in 11*y**4/2 + 694*y**3 - 1145*y**2/2 - 127*y = 0?
-127, -2/11, 0, 1
Find z, given that 3*z**3/2 + 327*z**2 + 3177*z/2 - 1917 = 0.
-213, -6, 1
Solve -3*i**5/2 + 146*i**4 - 5879*i**3/2 - 34941*i**2 + 201136*i + 148720 = 0.
-11, -2/3, 5, 52
Suppose -o**5 + 46*o**4 - 254*o**3 - 904*o**2 + 6567*o - 8190 = 0. What is o?
-5, 2, 3, 7, 39
Factor 6*x**5 + 171*x**4 + 84*x**3.
3*x**3*(x + 28)*(2*x + 1)
What is f in 3*f**5 - 2031*f**4 + 342699*f**3 + 365127*f**2 - 3463902*f + 2758104 = 0?
-4, 1, 2, 339
Factor j**2/5 + 586*j/5 + 117.
(j + 1)*(j + 585)/5
Find h, given that h**2/2 - 115391*h/2 = 0.
0, 115391
What is x in -75*x**5 + 14560*x**4 - 680465*x**3 + 75920*x**2 + 680540*x - 90480 = 0?
-1, 2/15, 1, 78, 116
Factor z**2/3 - 17882*z + 429104/3.
(z - 53638)*(z - 8)/3
Solve -p**4/8 + 4467*p**3/8 - 8927*p**2/8 - 13395*p/8 = 0.
-1, 0, 3, 4465
Find p, given that -p**4/9 + 115*p**3/9 + 923*p**2/9 - 2845*p/3 + 1586 = 0.
-13, 3, 122
Suppose 4*u**2 + 1468*u - 180032 = 0. Calculate u.
-464, 97
Suppose 5*u**4/3 + 155*u**3/3 + 215*u**2 - 155*u/3 - 650/3 = 0. What is u?
-26, -5, -1, 1
Factor -4*i**3 - 873*i**2 - 2798*i - 645.
-(i + 3)*(i + 215)*(4*i + 1)
Determine z so that -35*z**5/2 - 2641*z**4/6 + 3749*z**3 - 2762*z**2 - 1972*z/3 + 128 = 0.
-32, -2/7, 2/15, 1, 6
Let 5*c**2 + 5675*c - 150930 = 0. What is c?
-1161, 26
Determine g so that -g**4/2 + 4857*g**3 + 19431*g**2/2 + 4858*g = 0.
-1, 0, 9716
Find c, given that 2*c**3 + 96*c**2 + 360*c + 352 = 0.
-44, -2
What is c in -2*c**5 - 6034*c**4 + 48352*c**3 - 145136*c**2 + 193568*c - 96800 = 0?
-3025, 2
Let 2*i**5/5 + 372*i**4/5 + 810*i**3 - 22464*i**2/5 - 18792*i = 0. What is i?
-174, -15, -3, 0, 6
What is t in -t**5 - 221*t**4 + 3257*t**3 - 7975*t**2 - 50900*t + 188000 = 0?
-235, -4, 5, 8
Let 5*r**5 + 22150*r**4 + 154845*r**3 + 176840*r**2 - 353840*r = 0. What is r?
-4423, -4, 0, 1
Factor 65*t**3 + 5945*t**2 + 72800*t + 32340.
5*(t + 14)*(t + 77)*(13*t + 6)
Suppose -4*z**2 + 280888*z - 4931129284 = 0. What is z?
35111
Suppose -5*i**5/7 - 41*i**4/7 + 122*i**3/7 + 194*i**2/7 - 117*i/7 - 153/7 = 0. Calculate i.
-51/5, -1, 1, 3
Find o, given that 2*o**4/9 + 22382*o**3/9 + 62608048*o**2/9 - 62630432*o/9 = 0.
-5596, 0, 1
Suppose -5*r**2 - 306320*r - 4691597120 = 0. Calculate r.
-30632
Factor 5*u**2 - 3050*u + 378005.
5*(u - 437)*(u - 173)
Suppose i**4 + 368*i**3 - 30019*i**2 + 58558*i = 0. Calculate i.
-437, 0, 2, 67
Solve 4*m**3/7 - 3744*m**2/7 - 30148*m/7 - 56640/7 = 0 for m.
-5, -3, 944
Factor 2*p**3/7 - 11818*p**2 + 122165610*p + 855738450.
2*(p - 20685)**2*(p + 7)/7
Factor t**4/8 - 4167*t**3/8 - t**2/8 + 4167*t/8.
t*(t - 4167)*(t - 1)*(t + 1)/8
Determine p so that 2*p**3/9 + 2*p**2/9 - 910*p/3 + 4214 = 0.
-43, 21
Solve 15*q**5 + 185*q**4 - 5295*q**3 + 33215*q**2 - 75720*q + 47600 = 0.
-28, 1, 4, 5, 17/3
Determine m, given that m**5/4 - 19*m**4/4 + 137*m**3/4 - 473*m**2/4 + 393*m/2 - 126 = 0.
2, 3, 4, 7
Factor 3*b**2 + 100161*b + 1001310.
3*(b + 10)*(b + 33377)
Find z such that -3*z**4 - 327*z**3 + 1344*z**2 - 1356*z = 0.
-113, 0, 2
Factor -3*z**5 + 90*z**4 - 753*z**3 + 2598*z**2 - 3996*z + 2280.
-3*(z - 19)*(z - 5)*(z - 2)**3
Factor 13*r**2 + 149*r - 1224.
(r + 17)*(13*r - 72)
Factor -4*z**2 - 405632*z + 405636.
-4*(z - 1)*(z + 101409)
Determine z so that 14*z**3/5 + 115441*z**2/5 - 28041*z - 49482/5 = 0.
-8247, -2/7, 3/2
Let 7*a**5/2 - 11*a**4/2 - 17*a**3 + a**2 + 27*a/2 + 9/2 = 0. What is a?
-1, -3/7, 1, 3
Solve -2*h**2/5 - 386*h + 380688/5 = 0 for h.
-1133, 168
Suppose b**3/5 - 5254*b**2/5 + 6916864*b/5 - 41312256/5 = 0. Calculate b.
6, 2624
Factor d**3 - 115*d**2 - 6241*d + 6355.
(d - 155)*(d - 1)*(d + 41)
Determine s so that 65*s**4 - 270*s**3 - 155*s**2 + 1200*s - 180 = 0.
-2, 2/13, 3
Determine d so that -d**4/2 + 93*d**3/2 - 1931*d**2/2 - 7053*d/2 + 4446 = 0.
-4, 1, 39, 57
Let 2*l**3/11 - 260468*l**2/11 + 770973440*l - 16960373824/11 = 0. Calculate l.
2, 65116
Find n such that -3*n**2/2 + 63351*n/2 + 63357 = 0.
-2, 21119
Factor -2*m**2 + 4390*m + 13188.
-2*(m - 2198)*(m + 3)
Solve 2*x**5/11 - 112*x**4 - 11192*x**3/11 - 36172*x**2/11 - 48714*x/11 - 22500/11 = 0.
-3, -2, -1, 625
Suppose 2*g**4/9 + 890*g**3/3 - 70772*g**2/9 = 0. What is g?
-1361, 0, 26
Let 3*c**4 - 222*c**3 - 9429*c**2 - 34956*c - 34020 = 0. What is c?
-27, -2, 105
Factor -2*g**3/7 - 1298*g**2/7 + 7874*g/7 + 1310.
-2*(g - 7)*(g + 1)*(g + 655)/7
Determine p, given that -p**5/2 - 491*p**4/2 - 10907*p**3/2 - 67045*p**2/2 - 28314*p = 0.
-468, -11, -1, 0
Factor -3*b**2/5 - 1375*b - 4582/5.
-(b + 2291)*(3*b + 2)/5
Factor -5*l**2 - 7055*l + 28300.
-5*(l - 4)*(l + 1415)
Factor -y**2 + 387*y + 5614.
-(y - 401)*(y + 14)
Suppose 3*y**3/4 - 783*y**2/4 - 75*y/4 + 19575/4 = 0. Calculate y.
-5, 5, 261
Solve -2*y**2/5 + 1694*y/5 - 70876 = 0.
377, 470
Factor k**2/2 + 1853*k/4 + 11925.
(k + 900)*(2*k + 53)/4
Suppose -2*u**5/11 + 30906*u**4/11 - 119413028*u**3/11 + 118949448*u**2/11 + 1672091824*u/11 - 2865171648/11 = 0. Calculate u.
-4, 2, 3, 7726
Solve 4*j**4 + 580*j**3 - 600*j**2 - 2320*j + 2336 = 0 for j.
-146, -2, 1, 2
Suppose q**3/5 + 46*q**2 - 1897*q/5 + 1666/5 = 0. Calculate q.
-238, 1, 7
Determine n, given that 8*n**2 + 282628*n + 141312 = 0.
-35328, -1/2
What is t in -3*t**4 - 51*t**3 - 186*t**2 - 48*t + 288 = 0?
-12, -4, -2, 1
Let -14*w**5 + 5218*w**4 - 477476*w**3 - 1642352*w**2 + 1549120*w + 565504 = 0. Calculate w.
-4, -2/7, 1, 188
Let -p**2/4 + 19*p/4 - 39/2 = 0. What is p?
6, 13
Factor 12*m**3 - 1312*m**2 + 10028*m + 7272.
4*(m - 101)*(m - 9)*(3*m + 2)
What is b in 84*b**4 + 2344*b**3 + 1876*b**2 - 4736*b + 432 = 0?
-27, -2, 2/21, 1
Solve -5*p**5/2 + 5*p**4 + 2705*p**3/2 + 8725*p**2 + 9360*p - 19440 = 0.
-18, -4, 1, 27
Factor -2*d**2/5 - 52*d/5 + 462/5.
-2*(d - 7)*(d + 33)/5
Determine k, given that 3*k**5/8 - 921*k**4/8 + 1815*k**3/8 + 4593*k**2/8 - 2745*k/4 = 0.
-2, 0, 1, 3, 305
Factor 2*y**3 + 396*y**2 + 19200*y - 40000.
2*(y - 2)*(y + 100)**2
Factor 2*r**2/3 + 16062*r + 96364/3.
2*(r + 2)*(r + 24091)/3
Factor -3*h**2 - 129*h - 570.
-3*(h + 5)*(h + 38)
Solve -8*w**5 - 