2 = 0. What is y?
-159, 332
Solve 4*b**3/7 + 360700*b**2/7 - 1442848*b/7 + 1442864/7 = 0 for b.
-90179, 2
Factor -3*t**3/5 + 25119*t**2/5 - 20088*t + 100428/5.
-3*(t - 8369)*(t - 2)**2/5
Determine t, given that -351649*t**3/10 - 72939*t**2/2 - 13167*t/10 - 121/10 = 0.
-1, -11/593
Find x, given that -x**3 - 55*x**2 - 502*x - 792 = 0.
-44, -9, -2
Determine q, given that q**4 + 2187*q**3 - 4378*q**2 = 0.
-2189, 0, 2
Solve -k**5/2 + 39*k**4/2 - 229*k**3 + 631*k**2 + 4059*k/2 + 2299/2 = 0.
-1, 11, 19
Factor 2*q**3 + 8620*q**2 + 25842*q.
2*q*(q + 3)*(q + 4307)
Let 2*q**4/7 - 712*q**3/7 + 2822*q**2/7 - 2112*q/7 = 0. Calculate q.
0, 1, 3, 352
Determine l, given that -12*l**2 + 2517*l + 630 = 0.
-1/4, 210
Factor 3*w**3/5 - 16554*w**2/5 + 22753248*w/5 + 45838176.
3*(w - 2764)**2*(w + 10)/5
What is t in t**2/5 - 1943*t/5 - 22800 = 0?
-57, 2000
Suppose -310*f**5 - 445*f**4 + 1115*f**3 + 1790*f**2 + 500*f - 40 = 0. What is f?
-2, -1, -1/2, 2/31, 2
Factor -6*y**2 - 147*y - 145/3.
-(3*y + 1)*(6*y + 145)/3
Find l, given that 14*l**5 + 6498*l**4 + 669078*l**3 + 1412318*l**2 + 843324*l + 93600 = 0.
-312, -150, -1, -1/7
What is y in 4*y**2 - 12076*y - 12080 = 0?
-1, 3020
Solve 15*j**4 + 8180*j**3 + 32480*j**2 = 0.
-1624/3, -4, 0
Solve -z**2/2 + 97488*z - 4751955072 = 0 for z.
97488
Factor i**2 - 10512*i + 10511.
(i - 10511)*(i - 1)
Factor -2*f**4/5 + 64*f**3/5 + 432*f**2/5 + 896*f/5 + 608/5.
-2*(f - 38)*(f + 2)**3/5
Solve -200*d**3/3 + 105*d**2 - 154*d/3 + 8 = 0.
3/8, 2/5, 4/5
Find n, given that 2*n**3/5 + 29794*n**2/15 - 99374*n/15 + 9938/5 = 0.
-4969, 1/3, 3
Find d, given that -4*d**3 + 48112*d**2 - 144913044*d + 1444323240 = 0.
10, 6009
Factor 4*h**2 - 2083384*h + 271280555716.
4*(h - 260423)**2
Factor w**3/2 + 184761*w**2/2 - 277145*w + 184764.
(w - 2)*(w - 1)*(w + 184764)/2
What is m in -32*m**5 + 92*m**4 + 164*m**3 - 452*m**2 - 132*m + 360 = 0?
-2, -1, 1, 15/8, 3
Factor -5*n**2 - 629675*n + 629680.
-5*(n - 1)*(n + 125936)
Factor -31*q**4/2 + 10663*q**3 - 1833520*q**2 - 118336*q.
-q*(q - 344)**2*(31*q + 2)/2
Factor 2*u**3 - 26*u**2 - 520*u + 6528.
2*(u - 17)*(u - 12)*(u + 16)
What is c in c**5/6 + c**4/6 - 11*c**3/2 - 41*c**2/6 + 116*c/3 + 40 = 0?
-4, -1, 3, 5
Factor 5*z**2 + 14185*z + 56660.
5*(z + 4)*(z + 2833)
Find g, given that -5*g**4 - 1905*g**3 + 9615*g**2 - 13495*g + 5790 = 0.
-386, 1, 3
Let 4*a**4 - 16732*a**3 + 911292*a**2 - 12931812*a + 12037248 = 0. Calculate a.
1, 27, 4128
Let 4*h**5/9 - 370*h**4/9 + 5404*h**3/9 - 1290*h**2 + 500*h = 0. What is h?
0, 1/2, 2, 15, 75
Suppose 2*z**2 - 796*z + 55874 = 0. What is z?
91, 307
Find b, given that 49*b**5/2 - 159418*b**4 - 1002363*b**3/2 - 576091*b**2 - 286432*b - 52080 = 0.
-1, -4/7, 6510
Factor -2*r**4 - 204*r**3 - 4128*r**2 - 30976*r - 79872.
-2*(r + 8)**3*(r + 78)
Let 4*q**2 + 4610*q + 79450 = 0. What is q?
-1135, -35/2
Determine q so that 8*q**4/3 - 434*q**3 + 48442*q**2/3 - 172576*q - 44160 = 0.
-1/4, 24, 115
Determine y, given that -y**4/2 + 25*y**3/2 - 79*y**2 + 112*y = 0.
0, 2, 7, 16
Factor 2*z**5/9 + 182*z**4/9 - 62*z**3 + 562*z**2/9 - 188*z/9.
2*z*(z - 1)**3*(z + 94)/9
Factor -52*g**2 - 1652*g - 12936.
-4*(g + 14)*(13*g + 231)
Factor 3*g**2/4 - 24615*g/4.
3*g*(g - 8205)/4
What is d in -2*d**5 - 134660*d**4 - 2266395114*d**3 + 9067196440*d**2 - 9067735112*d = 0?
-33667, 0, 2
What is r in -r**3/3 - 184649*r**2/3 + 369301*r/3 - 184651/3 = 0?
-184651, 1
Factor 2*d**2 + 10492*d + 20976.
2*(d + 2)*(d + 5244)
Find a such that 5*a**4 + 390*a**3 - 9720*a**2 + 65610*a - 120285 = 0.
-99, 3, 9
Factor -6*q**3/7 - 2*q**2/7 + 384*q/7 + 128/7.
-2*(q - 8)*(q + 8)*(3*q + 1)/7
Let -2*r**4/9 - 116*r**3 + 4198*r**2/9 - 584*r + 2104/9 = 0. Calculate r.
-526, 1, 2
What is u in -2*u**2/3 - 406*u + 9872/3 = 0?
-617, 8
Factor -4*d**3/7 + 444*d**2 - 254448*d/7.
-4*d*(d - 684)*(d - 93)/7
Find m such that -24*m**5 - 66244*m**4 - 47150688*m**3 - 1986842848*m**2 - 21751640064*m - 3570301504 = 0.
-1358, -22, -1/6
Factor 2*w**4 - 102*w**3 + 1824*w**2 - 12800*w + 24576.
2*(w - 16)**3*(w - 3)
Factor o**3/5 + 937*o**2/5 + 10186*o/5.
o*(o + 11)*(o + 926)/5
Find n such that -n**4 + 49*n**3 - 417*n**2 - 985*n - 518 = 0.
-1, 14, 37
Find z such that -141*z**3 - 66963*z**2 + 5700*z = 0.
-475, 0, 4/47
Suppose -2*b**3/5 - 19152*b**2/5 + 134162*b/5 = 0. What is b?
-9583, 0, 7
Determine q so that 54*q**4 + 90635*q**3 - 52047*q**2 + 3358*q = 0.
-1679, 0, 2/27, 1/2
Find u, given that 4*u**4 + 2024*u**3 + 107056*u**2 + 1390560*u - 3225600 = 0.
-448, -30, 2
Factor -2*b**4/11 - 896*b**3/11 - 107328*b**2/11 + 1893376*b/11 + 692028928/11.
-2*(b - 68)*(b + 172)**3/11
Factor -2*u**3 + 222*u**2 - 1672*u + 2472.
-2*(u - 103)*(u - 6)*(u - 2)
Factor 2*r**2/9 + 292*r/3 + 23722/9.
2*(r + 29)*(r + 409)/9
Suppose -43*s**2 - 1461*s + 34 = 0. What is s?
-34, 1/43
Determine b so that -3*b**5/4 - 45299*b**4/4 + 105709*b**3/4 - 75509*b**2/4 + 7551*b/2 = 0.
-15102, 0, 1/3, 1
What is l in -27*l**5/5 - 348*l**4/5 - 789*l**3/5 + 2424*l**2/5 + 10188*l/5 + 9072/5 = 0?
-9, -3, -2, 28/9
Solve -59*f**4/4 + 1189*f**3/2 - 6080*f**2 + 1800*f = 0.
0, 18/59, 20
Let 9*v**5 + 32052*v**4 + 28590337*v**3 + 95044862*v**2 + 88644012*v + 25318728 = 0. Calculate v.
-1779, -2, -2/3
Find f, given that 5*f**4 + 75*f**3 + 385*f**2 + 765*f + 450 = 0.
-6, -5, -3, -1
Factor 5*g**3 + 1970*g**2 + 11680*g + 15520.
5*(g + 2)*(g + 4)*(g + 388)
Find g, given that g**4 + 20474*g**3 + 61416*g**2 + 61414*g + 20471 = 0.
-20471, -1
Let 9*g**5 - 33*g**4 - 222*g**3 + 6*g**2 + 501*g + 315 = 0. Calculate g.
-3, -1, 5/3, 7
Factor -b**3 - 3702*b**2 - 3444636*b - 34077160.
-(b + 10)*(b + 1846)**2
Factor 5*a**3 - 476*a**2 + 91*a + 380.
(a - 95)*(a - 1)*(5*a + 4)
Factor -2*r**2 + 1436*r - 91874.
-2*(r - 647)*(r - 71)
Solve 36*p**2 + 13112*p - 10220 = 0 for p.
-365, 7/9
Determine j, given that -143*j**5/4 - 1003*j**4/4 + 3847*j**3/4 - 4093*j**2/4 + 343*j + 5 = 0.
-10, -2/143, 1
What is h in 3*h**3/2 + 3447*h**2/2 - 8709*h - 62316 = 0?
-1154, -4, 9
Determine j so that -2*j**4/9 + 14*j**3/3 - 178*j**2/9 - 10*j + 100 = 0.
-2, 3, 5, 15
What is a in -2*a**4/7 - 472*a**3/7 - 30938*a**2/7 - 362748*a/7 - 985680/7 = 0?
-111, -10, -4
Factor 74*c**2/3 - 11956*c.
2*c*(37*c - 17934)/3
Let -q**3 - 4481*q**2 - 5004120*q + 35248752 = 0. What is q?
-2244, 7
Suppose -5*g**4/6 - 85*g**3/2 + 380*g**2 - 2360*g/3 = 0. What is g?
-59, 0, 4
Let b**2 + 205*b + 2674 = 0. What is b?
-191, -14
Find l such that -l**4/4 + 89*l**3/4 + 657*l**2/4 + 1431*l/4 + 216 = 0.
-3, -1, 96
What is w in -5324*w**4 - 4192408*w**3 + 2287824*w**2 - 416032*w + 25216 = 0?
-788, 2/11
Factor 3*c**2 - 23620*c + 139476100/3.
(3*c - 11810)**2/3
Find c, given that 2*c**5 + 946*c**4/3 + 7726*c**3/3 - 3314*c**2/3 - 1788*c = 0.
-149, -9, -2/3, 0, 1
Determine q so that q**2/3 - 11756*q/3 + 34550884/3 = 0.
5878
Determine r so that 4*r**3 + 91180*r**2 + 519475228*r - 1559246412 = 0.
-11399, 3
Factor -5*w**5 - 7840*w**4 - 3081110*w**3 - 6138720*w**2 - 3065445*w.
-5*w*(w + 1)**2*(w + 783)**2
Determine b, given that -b**5/6 + 13007*b**4/2 + 39023*b**3/3 = 0.
-2, 0, 39023
Let 3*i**3/4 - 489*i**2/4 - 1689*i - 4752 = 0. Calculate i.
-9, -4, 176
Determine v so that -3*v**5/4 + 129*v**4/2 - 423*v**3 + 1311*v**2/2 - 1185*v/4 = 0.
0, 1, 5, 79
Factor 3*k**2/8 - 111*k/4 - 9450.
3*(k - 200)*(k + 126)/8
Factor t**2/8 + 1515*t + 12119/8.
(t + 1)*(t + 12119)/8
Find x, given that x**4 + 2334*x**3 + 1321633*x**2 - 46978752*x + 405136384 = 0.
-1184, 17
Find m such that 2*m**3/5 + 4988*m**2/5 + 3482688*m/5 + 449825472/5 = 0.
-1164, -166
Find x, given that -5*x**3 + 2560*x**2 + 10300*x + 10320 = 0.
-2, 516
Factor -d**2 - 1099*d + 39690.
-(d - 35)*(d + 1134)
Factor b**2 + 36967*b.
b*(b + 36967)
Determine o so that 3*o**4/4 + 483*o**3/4 - 26409*o**2/4 - 314043*o/4 + 169983/2 = 0.
-202, -11, 1, 51
Factor -5*g**2/3 + 790*g/3 + 12040/3.
-5*(g - 172)*(g + 14)/3
Let 3*p**5 - 471*p**4 - 3591*p**3 + 23943*p**2 + 27060*p = 0. What is p?
-11, -1, 0, 5, 164
Suppose -2*y**2/3 - 16944*y - 50826 = 0. What is y?
-25413, -3
Factor -4*x**2 + 30988*x.
-4*x*(x - 7747)
Find g, given that -7*g**4/6 - 1823*g**3/6 - 3979*g**2/3 - 2804*g/3 + 1024 = 0.
-256, -3, -2, 4/7
Determine k so that 3*k**3/4 + 361*k**2/4 - 895*k/2 - 1250 = 0.
-125, -2, 20/3
Factor -2*j**4 - 1192*j**3 - 184616*j**2 - 2088384*j - 6139008.