18*x + 53 = 0. What is x?
-53/12, -1
Factor -2*x**3/11 + 24292*x**2/11 + 97192*x/11 + 97200/11.
-2*(x - 12150)*(x + 2)**2/11
Suppose -2*n**4/21 + 308*n**3/3 + 2*n**2/7 - 6464*n/21 - 616/3 = 0. Calculate n.
-1, 2, 1078
Find i, given that -1007*i**2 + 14096*i + 28 = 0.
-2/1007, 14
Factor 2*s**2 + 216908*s - 650742.
2*(s - 3)*(s + 108457)
Factor l**2/8 + 4975*l/4 - 2488.
(l - 2)*(l + 9952)/8
Factor -3*v**4 - 280*v**3 + 201*v**2 + 1230*v + 752.
-(v + 1)**2*(v + 94)*(3*v - 8)
Factor 2*v**2 - 977*v/2 + 3133/2.
(v - 241)*(4*v - 13)/2
Let a**3/5 - 3246*a**2/5 + 9731*a/5 - 6486/5 = 0. Calculate a.
1, 2, 3243
Solve -c**5 + 131*c**4 + 9*c**3 - 1179*c**2 = 0.
-3, 0, 3, 131
Factor -j**4/6 - 7*j**3/6 + 5*j**2/3 + 8*j/3.
-j*(j - 2)*(j + 1)*(j + 8)/6
What is d in 2*d**2/13 - 40770*d/13 - 40772/13 = 0?
-1, 20386
Factor 14*i**2 - 282*i + 40.
2*(i - 20)*(7*i - 1)
Factor 26*a**3 + 820*a**2 + 6000*a.
2*a*(a + 20)*(13*a + 150)
Determine j, given that 5*j**4 - 153*j**3 + 658*j**2 + 8388*j + 3240 = 0.
-5, -2/5, 18
Factor k**4/9 + 970*k**3/9 + 1937*k**2/9 + 968*k/9.
k*(k + 1)**2*(k + 968)/9
Factor 20*q**3 + 185*q**2 - 31480*q - 39600.
5*(q - 36)*(q + 44)*(4*q + 5)
Find g such that -g**5/5 - 6532*g**4/5 - 26106*g**3/5 + 39172*g**2/5 + 26107*g/5 - 6528 = 0.
-6528, -5, -1, 1
Solve -9*x**4/5 + 78*x**3/5 + 981*x**2/5 + 1182*x/5 + 288/5 = 0.
-6, -1, -1/3, 16
Solve k**3/5 - 848*k**2/5 + 21541*k/5 - 138918/5 = 0.
13, 822
Solve -2*v**3/11 + 68*v**2/11 + 86*v - 3036 = 0.
-22, 23, 33
Factor -98*u**2 - 8796*u + 2160.
-2*(u + 90)*(49*u - 12)
Factor 2*l**2/3 - 216368*l/3 + 5851888928/3.
2*(l - 54092)**2/3
Factor 2*d**2/7 + 3074*d/7 + 6140/7.
2*(d + 2)*(d + 1535)/7
Factor 2*u**3/5 - 82*u**2/5 - 11288*u/5 + 11368/5.
2*(u - 98)*(u - 1)*(u + 58)/5
Determine d so that 84*d**5 - 2092*d**4 - 4820*d**3 + 1660*d**2 + 4736*d + 432 = 0.
-2, -1, -2/21, 1, 27
Factor 5*m**2/2 - 4605*m - 4286975/2.
5*(m - 2227)*(m + 385)/2
Determine p, given that p**5 + 7642*p**4 - 45876*p**3 + 91766*p**2 - 76477*p + 22944 = 0.
-7648, 1, 3
Factor -2*v**2/7 - 1396*v/7 - 34662.
-2*(v + 327)*(v + 371)/7
Factor -n**4 + 286*n**3 + 3832*n**2 + 16370*n + 22425.
-(n - 299)*(n + 3)*(n + 5)**2
Factor 620*i**4 + 22328*i**3 + 268128*i**2 + 1074816*i + 13824.
4*(i + 12)**3*(155*i + 2)
Suppose k**4/3 + 5077*k**3/3 + 2150531*k**2 + 19319255*k/3 + 12872738/3 = 0. Calculate k.
-2537, -2, -1
Find b such that -5*b**2 - 365840*b - 6691945280 = 0.
-36584
Factor 2*p**4 - 5696*p**3 + 4038410*p**2 + 24435948*p.
2*p*(p - 1427)**2*(p + 6)
Determine s so that 5*s**2/2 + 1575000*s + 248062500000 = 0.
-315000
Factor q**2/4 + 24455*q + 97819/4.
(q + 1)*(q + 97819)/4
Find g such that -2*g**3/19 + 424*g**2/19 + 98842*g/19 - 99264/19 = 0.
-141, 1, 352
Determine x, given that 4*x**4 - 100*x**3 - 4*x**2 + 100*x = 0.
-1, 0, 1, 25
Find n such that 5*n**4/9 - 503*n**3/9 + 2998*n**2/9 + 9740*n/9 + 376 = 0.
-2, -2/5, 9, 94
Factor 3*c**3/8 + 264*c**2 - 4233*c/8 + 1059/4.
3*(c - 1)**2*(c + 706)/8
Determine m, given that -m**3/5 + 241*m**2 - 9576*m/5 = 0.
0, 8, 1197
Suppose 5*d**5 - 2255*d**4 + 253115*d**3 + 257635*d**2 - 253120*d - 255380 = 0. What is d?
-1, 1, 226
Find k, given that 147*k**5/5 + 593*k**4/5 + 151*k**3 + 319*k**2/5 + 2*k = 0.
-2, -1, -5/147, 0
Factor -5*d**4 - 60205*d**3 - 181081495*d**2 + 906913225*d.
-5*d*(d - 5)*(d + 6023)**2
Factor i**5 + 91*i**4 + 1564*i**3 + 10656*i**2 + 31104*i + 30672.
(i + 2)*(i + 6)**3*(i + 71)
Suppose 3*q**5 + 4617*q**4 + 1774077*q**3 - 1783317*q**2 - 1774080*q + 1778700 = 0. Calculate q.
-770, -1, 1
Factor 19894*u**2 - 10*u.
2*u*(9947*u - 5)
Solve -4*z**2 - 34460*z + 34464 = 0.
-8616, 1
Suppose -9*w**3/5 + 2244*w**2 - 29868*w/5 + 14928/5 = 0. Calculate w.
2/3, 2, 1244
Factor -56*v**3 + 673*v**2 - 2028*v + 36.
-(v - 6)**2*(56*v - 1)
Factor k**2 - 399*k + 16544.
(k - 352)*(k - 47)
Let 2*x**3/11 - 1820*x**2/11 - 664*x - 7312/11 = 0. What is x?
-2, 914
Factor -4*n**3/3 - 11720*n**2/3 - 2967884*n - 154184352.
-4*(n + 56)*(n + 1437)**2/3
What is j in 5*j**2 + 5965*j - 5970 = 0?
-1194, 1
Factor j**3 - 2527*j**2 - 2528*j.
j*(j - 2528)*(j + 1)
Factor 2*x**2/15 - 6506*x/15 + 2168/5.
2*(x - 3252)*(x - 1)/15
Factor 2*n**3/3 + 96*n**2 + 1966*n - 6188/3.
2*(n - 1)*(n + 26)*(n + 119)/3
Let 32*o**4/3 - 152*o**3 - 1013*o**2/2 + 401*o/3 - 17/2 = 0. Calculate o.
-3, 1/8, 17
Let -4*m**3 - 1428*m**2 - 12528*m = 0. What is m?
-348, -9, 0
Factor 3*b**2 + 427608*b + 15237383472.
3*(b + 71268)**2
Suppose -4*p**5/5 - 2968*p**4/5 - 57676*p**3/5 + 60648*p**2/5 = 0. What is p?
-722, -21, 0, 1
Factor 80*d**3 - 119400*d**2 + 2071125*d - 9034375.
5*(d - 1475)*(4*d - 35)**2
Suppose -5*j**3 + 725*j**2 - 27335*j + 75615 = 0. What is j?
3, 71
Find s, given that 5*s**4/6 - 11*s**3/3 - 950*s**2/3 + 2769*s + 3549/2 = 0.
-21, -3/5, 13
Factor l**3/4 - 5433*l**2/4 - 10878*l - 21764.
(l - 5441)*(l + 4)**2/4
Determine h, given that h**4/2 + 469*h**3/2 - 19923*h**2/2 + 221711*h/2 - 183749 = 0.
-509, 2, 19
Let -2*v**4/7 - 291980*v**3/7 - 10656540042*v**2/7 + 1167920*v/7 + 42626160200/7 = 0. Calculate v.
-72995, -2, 2
Find j, given that -3*j**4/5 - 258*j**3/5 + 684*j**2 - 10488*j/5 + 9408/5 = 0.
-98, 2, 8
Suppose -k**3 + 1337*k**2 - 2671*k + 1335 = 0. What is k?
1, 1335
Factor -3*y**3 - 23874*y**2 - 46870515*y + 2502243900.
-3*(y - 52)*(y + 4005)**2
Solve 5*p**3 + 95*p**2 - 7565*p + 76585 = 0.
-53, 17
Solve 2*c**5/3 + 44*c**4/3 + 26*c**3 - 44*c**2/3 - 80*c/3 = 0.
-20, -2, -1, 0, 1
What is i in i**2/2 + 286*i - 10302 = 0?
-606, 34
Solve -w**4/2 + 4123*w**3 - 16924753*w**2/2 - 153326124*w - 691473672 = 0.
-9, 4132
Factor -d**3/10 + 433*d**2/10 - 23963*d/10 + 356531/10.
-(d - 371)*(d - 31)**2/10
Solve 2*v**2/3 + 2036*v/3 + 28112/3 = 0 for v.
-1004, -14
Factor 3*p**4/5 + 18*p**3 - 10857*p**2/5.
3*p**2*(p - 47)*(p + 77)/5
Factor -2*y**2 + 13040*y - 21255200.
-2*(y - 3260)**2
Find x such that 2*x**3/19 + 794*x**2/19 + 82990*x/19 + 819478/19 = 0.
-193, -11
Factor -4*j**3 - 16690*j**2 - 25026*j.
-2*j*(j + 4171)*(2*j + 3)
Find a such that a**4 - 10114*a**3 + 25583361*a**2 - 51136384*a + 25563136 = 0.
1, 5056
Determine k so that -2*k**4/11 + 12*k**3/11 + 16*k**2 - 384*k/11 = 0.
-8, 0, 2, 12
Let f**4/4 + 69*f**3/8 - 121*f**2/8 - 2559*f/4 + 646 = 0. Calculate f.
-34, -19/2, 1, 8
Suppose 156*v**3 - 2240*v**2 + 2812*v - 728 = 0. What is v?
14/39, 1, 13
Factor -3*g**2/5 + 2751738*g/5 - 631005168387/5.
-3*(g - 458623)**2/5
Determine k, given that 2*k**3/5 + 748*k**2/5 - 12352*k/5 + 9984 = 0.
-390, 8
Suppose -5763*w**4/7 - 2469*w**3 + 144093*w**2/7 - 121173*w/7 + 18 = 0. What is w?
-7, 2/1921, 1, 3
Factor b**4 + 89*b**3 + 1739*b**2 - 11045*b.
b*(b - 5)*(b + 47)**2
Factor -x**2/3 + 187*x/3 - 910/3.
-(x - 182)*(x - 5)/3
Determine g so that 3*g**3 - 831*g**2 - 21828*g + 46956 = 0.
-26, 2, 301
Let 2*r**5 + 376*r**4 + 7054*r**3 + 6680*r**2 = 0. Calculate r.
-167, -20, -1, 0
Factor b**3/6 - 1899*b**2.
b**2*(b - 11394)/6
Let c**2 + 192*c + 380 = 0. Calculate c.
-190, -2
Find r such that -2*r**3/7 + 150*r**2/7 + 5052*r/7 - 5200/7 = 0.
-26, 1, 100
Factor -o**4 + 6327*o**3 - 10017218*o**2 + 30007380*o - 19996488.
-(o - 3162)**2*(o - 2)*(o - 1)
Solve -3*z**3/2 - 6732*z**2 - 294030*z - 3226344 = 0 for z.
-4444, -22
Determine h, given that -h**4/2 - 3157*h**3/4 + 1579*h**2/4 = 0.
-1579, 0, 1/2
Determine w, given that -10*w**4 + 9915*w**3 - 3271935*w**2 + 357716665*w + 543970365 = 0.
-3/2, 331
Let 3*o**5/7 - 36*o**4/7 - 10578*o**3/7 - 31488*o**2/7 - 31401*o/7 - 10452/7 = 0. What is o?
-52, -1, 67
What is f in f**4/7 - 130*f**3/7 + 256*f**2/7 = 0?
0, 2, 128
Suppose -3*k**5/2 - 177*k**4/2 - 951*k**3/2 + 177*k**2/2 + 477*k = 0. Calculate k.
-53, -6, -1, 0, 1
What is g in 5*g**2 - 297850*g = 0?
0, 59570
Find p, given that 4*p**5/3 + 2924*p**4/3 + 968*p**3 - 11696*p**2/3 - 11680*p/3 = 0.
-730, -2, -1, 0, 2
Factor 65*l**2 - 3367055*l - 518010.
5*(l - 51801)*(13*l + 2)
Factor 10*m**3 - 622*m**2 - 8888*m + 11544.
2*(m - 74)*(m + 13)*(5*m - 6)
Find a such that -a**2/3 - 166813*a - 1000874/3 = 0.
-500437, -2
Factor -x**3/9 - 10*x**2/9 + 13*x/9 + 22/9.
-(x - 2)*(x + 1)*(x + 11)/9
Factor -21*f**3 - 5218*f**2 - 325376*f - 153760.
-(f + 124)**2*(21*f + 10)
What is g in 5*g**2 - 16230*g + 672840 = 0?
42, 3204
Find f, given that -3*f**3 - 13104*f**2 - 117735*f - 183078 = 0.
-4359, -7, -2
Let 5*v**