4940
Solve 5*l**2 + 236150*l - 472320 = 0 for l.
-47232, 2
Solve 15*d**4/4 + 837*d**3/4 - 1902*d**2 + 4212*d - 768 = 0 for d.
-64, 1/5, 4
Let 4*b**3 + 9300*b**2 + 5564700*b + 183543500 = 0. What is b?
-1145, -35
Determine h so that -3*h**5/2 + 687*h**4/2 + 9*h**3/2 - 2067*h**2/2 + 687*h = 0.
-2, 0, 1, 229
Factor p**3/6 - 22*p**2/3 - 608*p/3 - 2048/3.
(p - 64)*(p + 4)*(p + 16)/6
Factor 514*z**3/7 - 12*z**2/7.
2*z**2*(257*z - 6)/7
Factor -4*v**3 - 912856*v**2 + 1825724*v - 912864.
-4*(v - 1)**2*(v + 228216)
Factor 4*u**2 + 1288*u - 148320.
4*(u - 90)*(u + 412)
Find d such that -34*d**2 + 491*d - 1420 = 0.
4, 355/34
Solve -2*c**2/5 - 2806*c/5 - 1680 = 0 for c.
-1400, -3
Factor -4*c**4 + 80728*c**3 - 161444*c**2 + 80720*c.
-4*c*(c - 20180)*(c - 1)**2
Suppose -3507*v**3/8 - 104187*v**2/8 + 7671*v/2 - 45/2 = 0. What is v?
-30, 1/167, 2/7
Let -2*a**3 + 1392*a**2 - 242208*a = 0. Calculate a.
0, 348
Factor -4*a**3 - 36*a**2 + 2440*a - 8928.
-4*(a - 18)*(a - 4)*(a + 31)
Determine i so that -4*i**5 - 3584*i**4 - 134136*i**3 - 380944*i**2 - 373796*i - 123408 = 0.
-857, -36, -1
Suppose -2938*c**2/15 - 29378*c/15 + 4/3 = 0. What is c?
-10, 1/1469
Find w such that w**3 - 5549*w**2 - 33330*w = 0.
-6, 0, 5555
Factor -2*s**2/13 - 1514*s - 196620/13.
-2*(s + 10)*(s + 9831)/13
Let -3*u**5 - 3768*u**4 - 1133067*u**3 + 31509102*u**2 - 174077652*u - 483196056 = 0. What is u?
-641, -2, 14
Factor -2*o**4 + 88*o**3 + 1302*o**2 + 2548*o - 10976.
-2*(o - 56)*(o - 2)*(o + 7)**2
Let 2*u**4/13 + 4522*u**3/13 - 100414*u**2/13 + 86838*u/13 + 191772/13 = 0. What is u?
-2283, -1, 2, 21
Factor 20*h**3 + 3968*h**2 + 46224*h + 17856.
4*(h + 12)*(h + 186)*(5*h + 2)
Determine g, given that -3*g**4/8 + 2625*g**3/4 - 5235*g**2/8 - 2625*g + 5247/2 = 0.
-2, 1, 2, 1749
Determine r, given that -r**3/5 - 18574*r**2/5 + 55731*r/5 = 0.
-18577, 0, 3
Let -2*r**2/3 + 400*r/3 - 6314 = 0. Calculate r.
77, 123
Determine z, given that -4*z**2/5 + 205084*z/5 + 205104 = 0.
-5, 51276
Solve 5*u**3/3 - 1760*u**2 + 67795*u/3 = 0.
0, 13, 1043
Determine f, given that -5*f**3 - 325*f**2 + 5000*f + 437500 = 0.
-50, 35
Determine n so that -55*n**5 - 90*n**4 + 63620*n**3 - 23010*n**2 - 63565*n + 23100 = 0.
-35, -1, 4/11, 1, 33
Factor 2*s**2/3 - 98396*s/3 + 1210221602/3.
2*(s - 24599)**2/3
Solve 2*a**4/5 + 9048*a**3/5 - 336868*a**2/5 + 2947128*a/5 + 3293042/5 = 0 for a.
-4561, -1, 19
Factor -2*x**2 + 514*x + 9900.
-2*(x - 275)*(x + 18)
Find f such that 2*f**5/3 + 14*f**4/5 - 130*f**3/3 + 346*f**2/5 - 88*f/3 = 0.
-11, 0, 4/5, 1, 5
Find u, given that -u**2 + 66144*u - 1093757184 = 0.
33072
Factor x**2 - 18870*x + 89019225.
(x - 9435)**2
Factor 4*y**4/5 + 656*y**3/5 - 132*y**2.
4*y**2*(y - 1)*(y + 165)/5
What is q in -55*q**4 - 11905*q**3 - 5345*q**2 + 11905*q + 5400 = 0?
-216, -1, -5/11, 1
Factor 14953689*t**4 + 89706666*t**3 - 92804*t**2 + 24*t.
t*(t + 6)*(3867*t - 2)**2
Factor 3*l**3 - 27*l**2 - 30*l.
3*l*(l - 10)*(l + 1)
Find q such that 4*q**4 - 648*q**3 - 1332*q**2 + 3256*q + 3936 = 0.
-3, -1, 2, 164
Factor -n**2/4 + 859*n/4 - 429/2.
-(n - 858)*(n - 1)/4
Determine s so that s**2 + 528390*s + 69798998025 = 0.
-264195
Factor -3*x**3/5 + 399*x**2/5 + 5112*x/5 + 3132.
-3*(x - 145)*(x + 6)**2/5
Suppose 2*f**4/3 + 112*f**3/9 = 0. Calculate f.
-56/3, 0
Suppose 18*j**3 - 1191*j**2 + 6660*j = 0. What is j?
0, 37/6, 60
What is a in 34*a**4 - 3152*a**3/11 + 7240*a**2/11 - 2368*a/11 - 384/11 = 0?
-2/17, 6/11, 4
Factor 4*n**3 + 7580*n**2 - 37976*n + 45600.
4*(n - 3)*(n - 2)*(n + 1900)
Solve 4*x**5 + 2140*x**4 + 280764*x**3 - 1477260*x**2 - 2527200*x + 13122000 = 0 for x.
-270, -3, 3, 5
Factor 2*m**3/3 + 242*m**2/3 + 1768*m/3 - 4520/3.
2*(m - 2)*(m + 10)*(m + 113)/3
Determine d, given that 2*d**4 + 72600*d**3 + 657827816*d**2 - 18461889600*d + 129332911232 = 0.
-18164, 14
Determine r so that -r**4/3 + 140*r**3/3 - 4891*r**2/3 - 420*r + 14700 = 0.
-3, 3, 70
Let 1146*j**2 + 34374*j/5 - 36/5 = 0. What is j?
-6, 1/955
Factor 2*v**4/11 + 15086*v**3/11 - 45270*v**2/11 + 45274*v/11 - 1372.
2*(v - 1)**3*(v + 7546)/11
Factor -h**5/9 + 424*h**4/9 - 49366*h**3/9 + 312488*h**2/3 - 543169*h.
-h*(h - 201)**2*(h - 11)**2/9
Determine j so that -j**2 + 12726*j - 40487769 = 0.
6363
Factor -a**2/5 + 67494*a/5 - 1138860009/5.
-(a - 33747)**2/5
Determine b so that 2870*b**5 + 113828*b**4 + 520524*b**3/7 + 92528*b**2/7 + 3818*b/7 - 156/7 = 0.
-39, -2/5, -1/7, 1/41
Factor -3*x**4 - 303633*x**3 - 10243666521*x**2 - 115196859139659*x.
-3*x*(x + 33737)**3
Factor -3*o**2 + 116982*o - 233952.
-3*(o - 38992)*(o - 2)
Factor -o**3/9 + 20816*o**2/9 + o/9 - 20816/9.
-(o - 20816)*(o - 1)*(o + 1)/9
Factor 4*k**2 + 5528*k + 54880.
4*(k + 10)*(k + 1372)
Suppose 3*y**5/7 + 27*y**4 - 3531*y**3/7 - 1305*y**2/7 + 3672*y - 21060/7 = 0. Calculate y.
-78, -3, 1, 2, 15
Factor i**2 + 213714*i + 11418418449.
(i + 106857)**2
Solve -4*v**3 + 1784*v**2 - 35700*v = 0 for v.
0, 21, 425
Factor -45*l**2 - 219*l - 156.
-3*(l + 4)*(15*l + 13)
Suppose -n**4 - 26*n**3 + 1657*n**2 + 3410*n = 0. Calculate n.
-55, -2, 0, 31
Find i, given that 2*i**4 + 6524*i**3 + 32542*i**2 - 91196*i = 0.
-3257, -7, 0, 2
Determine o, given that 2*o**2/9 + 30*o + 5500/9 = 0.
-110, -25
Find w, given that -4*w**3 - 6460*w**2 - 497600*w - 9824000 = 0.
-1535, -40
Find t such that t**4/2 + 7*t**3 - 3079*t**2/2 - 12508*t = 0.
-59, -8, 0, 53
Factor -3*j**2 + 7826688*j - 5104753754112.
-3*(j - 1304448)**2
Factor 5*a**3 - 76400*a**2 + 229165*a - 152770.
5*(a - 15277)*(a - 2)*(a - 1)
Let -2*w**3 - 449706*w**2 + 449708*w = 0. Calculate w.
-224854, 0, 1
Factor 2*n**3/3 - 194*n**2/3 - 2090*n/3 - 5350/3.
2*(n - 107)*(n + 5)**2/3
Factor -14580000*m**2 + 3600*m - 2/9.
-2*(8100*m - 1)**2/9
Factor -53*d**2/3 + 3679*d/3 - 7140.
-(d - 63)*(53*d - 340)/3
Find o, given that 5*o**5 - 51330*o**4 + 131687100*o**3 + 263579560*o**2 = 0.
-2, 0, 5134
Solve 4*a**4 - 260*a**3 + 4084*a**2 + 4884*a - 8712 = 0.
-2, 1, 33
Factor 4*g**3 - 556*g**2 + 528*g + 3312.
4*(g - 138)*(g - 3)*(g + 2)
Solve 5*u**2 + 4535*u + 998280 = 0.
-531, -376
Factor 5*j**4 + 150*j**3 - 25695*j**2 - 78300*j.
5*j*(j - 60)*(j + 3)*(j + 87)
Factor 3*a**2 + 740622*a + 45710078907.
3*(a + 123437)**2
Factor 4*n**3 - 520*n**2 + 15808*n - 29568.
4*(n - 84)*(n - 44)*(n - 2)
What is z in -2*z**3/13 - 18*z**2/13 - 30*z/13 + 50/13 = 0?
-5, 1
Let 578*i**5 + 23018*i**4 + 268358*i**3 + 618542*i**2 - 2137120*i + 1226624 = 0. What is i?
-296/17, -7, 1
Solve -4*o**4 + 2768*o**3 - 16500*o**2 + 24696*o = 0 for o.
0, 3, 686
Factor -p**3 + 568*p**2 - 2256*p.
-p*(p - 564)*(p - 4)
Factor -2*w**3/9 - 166*w**2/9 + 338*w/9 - 170/9.
-2*(w - 1)**2*(w + 85)/9
Factor -3*g**2 + 1536*g - 26676.
-3*(g - 494)*(g - 18)
Find i such that 4*i**5/3 - 126*i**4 + 1292*i**3/3 + 727352*i**2/3 - 5831696*i + 8565568/3 = 0.
-44, 1/2, 46
Factor -4*h**2 + 6389648*h - 2551725097744.
-4*(h - 798706)**2
Factor -2*f**3 - 8686*f**2 + 315362*f + 324046.
-2*(f - 37)*(f + 1)*(f + 4379)
Solve -2*x**4/13 - 1070*x**3/13 + 920*x**2 - 28360*x/13 + 1344 = 0.
-546, 1, 2, 8
Find o such that -7*o**5/4 - 4527*o**4/4 + 16621*o**3/2 - 18291*o**2 + 13730*o - 2616 = 0.
-654, 2/7, 1, 2, 4
Factor -3*v**3 + 7758*v**2 + 15528*v.
-3*v*(v - 2588)*(v + 2)
Determine b, given that b**2 - 8*b - 22185 = 0.
-145, 153
Factor -2*n**2/5 + 1154*n/5 - 1596.
-2*(n - 570)*(n - 7)/5
Let 36*v**4 - 34136*v**3 + 8061684*v**2 + 14455200*v - 3610000 = 0. Calculate v.
-2, 2/9, 475
Factor 192*v**5/7 - 2544*v**4/7 + 627*v**3/7 - 39*v**2/7.
3*v**2*(v - 13)*(8*v - 1)**2/7
Factor 2*k**2/5 - 17308*k + 187229290.
2*(k - 21635)**2/5
Determine k so that -2*k**4/13 - 32*k**3/13 - 138*k**2/13 - 4*k + 224/13 = 0.
-8, -7, -2, 1
Find r such that 4*r**3 - 746304*r**2 + 34811350068*r - 69619714952 = 0.
2, 93287
Let -2*y**3 + 48646*y**2 - 295779840*y - 295828488 = 0. What is y?
-1, 12162
Suppose w**2/6 - 3*w - 800/3 = 0. Calculate w.
-32, 50
Factor -2*d**2/3 + 63248*d.
-2*d*(d - 94872)/3
Suppose -4*y**5 - 198*y**4/7 - 400*y**3/7 - 60*y**2/7 + 428*y/7 + 258/7 = 0. Calculate y.
-43/14, -3, -1, 1
Determine w so that 5*w**3/2 + 2665*w**2/2 + 10595*w/2 + 7935/2 = 0.
-529, -3, -1
Suppose -35*u**3 - 113250*u**2 + 485960*u - 129600 = 0. Calculate u.
-3240, 2/7, 4
Factor -z**3/4 - 183*z**2/4 + 2545*z + 10896.
-(z - 48)*(z + 4)*(z + 227)/4
Solve -2*q**2/15 - 1012*q/15 + 8224