- 6912/13 = 0 for q.
-12, -4, 2, 4, 9
Factor -x**4 + 78*x**3 - 2208*x**2 + 26450*x - 109503.
-(x - 23)**3*(x - 9)
Solve 4*w**2 + 6376*w + 100992 = 0 for w.
-1578, -16
Determine i, given that 2*i**5/21 + 2360*i**4/7 + 6301004*i**3/21 + 20714048*i**2/7 - 143215630*i/21 + 24921800/7 = 0.
-1765, -12, 1
What is g in -4*g**2/3 - 19340*g = 0?
-14505, 0
What is c in 2*c**3/9 + 146*c**2 - 2636*c/9 = 0?
-659, 0, 2
Factor 3*x**4 + 1374*x**3 + 39711*x**2.
3*x**2*(x + 31)*(x + 427)
Factor 5*d**5 - 7360*d**4 + 2766720*d**3 - 42864640*d**2 + 169594880*d.
5*d*(d - 728)**2*(d - 8)**2
Factor 2*j**3/7 + 2236*j**2/7 + 13354*j/7 + 11120/7.
2*(j + 1)*(j + 5)*(j + 1112)/7
Find j, given that j**5/9 - j**4/9 - 76*j**3/9 - 176*j**2/9 + 32*j + 80 = 0.
-6, -3, -2, 2, 10
What is w in w**4/5 - 57*w**3 - 2647*w**2/5 + 57*w + 2646/5 = 0?
-9, -1, 1, 294
Solve -2*r**2/13 - 142*r/13 + 14592/13 = 0.
-128, 57
Factor 6*u**2/11 - 533796*u/11.
6*u*(u - 88966)/11
Factor 4*r**3 + 492*r**2 + 2360*r.
4*r*(r + 5)*(r + 118)
Suppose 3*j**5/8 + 32559*j**4 + 1413451305*j**3/2 - 130236*j**2 - 2826902616*j = 0. What is j?
-43412, -2, 0, 2
Factor -5*i**3 - 75*i**2 + 37125*i - 1063125.
-5*(i - 45)**2*(i + 105)
Factor 4*p**2/7 + 8052*p.
4*p*(p + 14091)/7
Determine s so that 2*s**5 + 350*s**4 - 5186*s**3 + 19882*s**2 - 28656*s + 13608 = 0.
-189, 1, 2, 9
Solve 3*w**2 - 30666*w = 0 for w.
0, 10222
Find u such that -u**3/6 - 25*u**2/2 - 583*u/3 = 0.
-53, -22, 0
Factor -h**2/3 - 8950*h/3 - 20025625/3.
-(h + 4475)**2/3
Factor -c**2/2 - 14448*c - 104372352.
-(c + 14448)**2/2
Find w such that 36*w**4 + 6980*w**3 - 776*w**2 = 0.
-194, 0, 1/9
Suppose 2*r**2 - 148*r - 1134 = 0. What is r?
-7, 81
Solve 3*k**4/2 - 786*k**3 - 30759*k**2/2 - 52038*k - 48870 = 0.
-15, -2, 543
Let -4*d**5/3 - 59*d**4/3 - 16*d**3/3 + 808*d**2 + 1920*d - 3600 = 0. What is d?
-10, -6, 5/4, 6
Suppose 4*z**2 - 41144*z + 41140 = 0. What is z?
1, 10285
Determine h, given that -2*h**3/5 + 72*h**2/5 - 202*h/5 + 132/5 = 0.
1, 2, 33
What is q in -3*q**3 - 351*q**2 - 11256*q - 69120 = 0?
-64, -45, -8
Suppose 66049*y**2/2 + 1954742*y + 28925618 = 0. Calculate y.
-7606/257
What is z in 3*z**3 + 1431*z**2 - 8694*z = 0?
-483, 0, 6
Determine m, given that -10*m**5/3 + 22918*m**4/3 - 13742*m**3 + 13738*m**2/3 + 4580*m/3 = 0.
-1/5, 0, 1, 2290
Find s such that -4*s**2 + 1128*s + 50076 = 0.
-39, 321
Solve -3*r**3 + 1104*r**2 - 1095*r - 2202 = 0.
-1, 2, 367
Factor 5*z**3/3 + 14545*z**2/3 + 10599635*z/3 + 10556045.
5*(z + 3)*(z + 1453)**2/3
Factor -288300*t**3 + 1724220*t**2 + 33453*t + 162.
-3*(t - 6)*(310*t + 3)**2
Factor 2*i**2 - 595556*i + 44335868642.
2*(i - 148889)**2
Factor -16*b**2 + 420*b + 324.
-4*(b - 27)*(4*b + 3)
Find m, given that -3*m**2/2 - 154*m + 3680 = 0.
-368/3, 20
What is y in -y**4 + 78*y**3 - 977*y**2 + 1968*y + 3024 = 0?
-1, 4, 12, 63
Factor 5*l**2 - 3045170*l + 463653016445.
5*(l - 304517)**2
Find a such that 3*a**4/4 + 849*a**3/2 - 4320*a**2 = 0.
-576, 0, 10
Let k**2/4 - 2445*k/4 + 3663/2 = 0. What is k?
3, 2442
Determine o so that -3*o**5/8 - 39*o**4/8 + 93*o**3 - 903*o**2/2 + 876*o - 600 = 0.
-25, 2, 4
Determine x, given that 9*x**5 + 3423*x**4 + 285639*x**3 + 94833*x**2 = 0.
-257, -123, -1/3, 0
Solve 4*a**2 - 2352*a - 95152 = 0.
-38, 626
Solve 4*m**2/5 + 126804*m/5 = 0 for m.
-31701, 0
Solve -4*n**4 - 17396*n**3/5 - 6252*n**2 - 10412*n/5 + 3472/5 = 0 for n.
-868, -1, 1/5
Solve 676*m**5/7 - 416*m**4/7 - 6852*m**3/7 + 720*m**2 + 10800*m/7 = 0.
-3, -1, 0, 30/13
Factor -b**2 - 5119*b + 5120.
-(b - 1)*(b + 5120)
Factor -a**2 + 5151*a - 5150.
-(a - 5150)*(a - 1)
Factor -p**4 + 663*p**3 + 4014*p**2.
-p**2*(p - 669)*(p + 6)
Find n such that 5*n**5 + 2185*n**4 - 48090*n**3 = 0.
-458, 0, 21
Suppose -2*n**3/11 - 23216*n**2/11 + 46438*n/11 - 23220/11 = 0. Calculate n.
-11610, 1
Factor 75*n**2 + 1551*n + 1020.
3*(n + 20)*(25*n + 17)
Factor 5*f**4/2 + 2380*f**3 + 542140*f**2 - 11566800*f + 59049000.
5*(f - 10)**2*(f + 486)**2/2
Solve 2*u**2 + 44674*u - 44676 = 0.
-22338, 1
Factor -4*n**5 + 10004*n**4 - 6249996*n**3 - 6260004*n**2.
-4*n**2*(n - 1251)**2*(n + 1)
Factor f**2 + 43032*f + 462938256.
(f + 21516)**2
Factor -b**3/4 + 399*b**2/2 - 36639*b - 1285470.
-(b - 414)**2*(b + 30)/4
What is q in 2*q**4 + 36*q**3 - 2*q**2 - 36*q = 0?
-18, -1, 0, 1
Solve -d**4/3 - 56*d**3 - 2166*d**2 + 16704*d + 68121 = 0 for d.
-87, -3, 9
Suppose 5686*d**4/3 + 3788*d**3 + 1890*d**2 - 8*d/3 = 0. Calculate d.
-1, 0, 4/2843
Factor 2*k**2/17 - 1782*k/17 + 728.
2*(k - 884)*(k - 7)/17
Find s such that -2*s**3 - 116*s**2 + 4368*s = 0.
-84, 0, 26
Solve -o**3/4 - 2627*o**2/2 - 31493*o/4 - 6560 = 0 for o.
-5248, -5, -1
Factor -3*b**2 + 2544*b - 10128.
-3*(b - 844)*(b - 4)
Determine r, given that 2*r**4/13 - 1096*r**3/13 + 5418*r**2/13 + 6516*r/13 = 0.
-1, 0, 6, 543
Find j, given that 2*j**4/3 - 40*j**3/3 + 76*j**2 - 72*j - 162 = 0.
-1, 3, 9
Factor s**2 + 18936*s + 18935.
(s + 1)*(s + 18935)
Suppose 10*t**5/9 + 364*t**4/9 - 3826*t**3/9 + 2012*t**2/9 + 160*t = 0. What is t?
-45, -2/5, 0, 1, 8
Find d such that 2*d**3/13 + 48504*d**2/13 + 48502*d/13 = 0.
-24251, -1, 0
Suppose t**4/3 - 2782*t**3/3 - 120372*t**2 - 5105016*t - 71815968 = 0. What is t?
-42, 2908
Determine s so that 5*s**4 - 24995*s**3 - 75050*s**2 + 100040*s = 0.
-4, 0, 1, 5002
Let 2*i**5/5 + 1434*i**4/5 + 253388*i**3/5 - 1327716*i**2/5 - 880118*i + 5473482/5 = 0. What is i?
-361, -3, 1, 7
Factor w**5 + 21*w**4 - 3027*w**3 - 31345*w**2 - 79050*w.
w*(w - 51)*(w + 5)**2*(w + 62)
Find z, given that 14*z**4 - 68608*z**3 + 1234416*z**2/7 - 83968*z + 78368/7 = 0.
2/7, 2, 4898
Factor -2*m**3/5 - 35408*m**2/5 - 156998688*m/5 - 2502922752/5.
-2*(m + 16)*(m + 8844)**2/5
Solve -n**3 + 1853*n**2 - 33030*n = 0.
0, 18, 1835
Suppose -3*n**5/2 - 57*n**4 - 297*n**3 + 894*n**2 + 597*n/2 - 837 = 0. Calculate n.
-31, -9, -1, 1, 2
Suppose n**3 - 14*n**2 - 89*n - 114 = 0. What is n?
-3, -2, 19
Solve 4*q**3/5 - 31164*q**2/5 + 60684096*q/5 + 60715264/5 = 0.
-1, 3896
Solve k**4/2 - 145*k**3/6 + 974*k**2/3 - 3074*k/3 + 936 = 0.
2, 52/3, 27
Factor -1469795762*h**2/11 - 759052*h/11 - 98/11.
-2*(27109*h + 7)**2/11
Let 3*l**5 + 13881*l**4 + 16008177*l**3 - 112627005*l**2 + 129066168*l + 257687472 = 0. What is l?
-2317, -1, 4
Suppose 3*d**5/2 + 1707*d**4/2 + 16767*d**3/2 - 1707*d**2/2 - 8385*d = 0. Calculate d.
-559, -10, -1, 0, 1
Factor -2*k**3/13 + 3126*k**2/13 - 1144710*k/13 - 60914350/13.
-2*(k - 805)**2*(k + 47)/13
Factor -3*s**2/4 + 1581*s/2.
-3*s*(s - 1054)/4
Find s such that -s**4/5 + s**3 + 2072*s**2/5 + 4116*s/5 = 0.
-42, -2, 0, 49
Find g such that 3*g**4 - 4368*g**3 + 21786*g**2 - 30480*g + 13059 = 0.
1, 3, 1451
Solve y**3/7 + 5*y**2/7 - 204*y/7 = 0 for y.
-17, 0, 12
Let -2*a**4/15 + 102536*a**3/15 - 1314101372*a**2/15 - 175234024*a - 87620430 = 0. What is a?
-1, 25635
Let k**5/3 + 23*k**4/3 - 199*k**3/3 + 325*k**2/3 - 50*k = 0. Calculate k.
-30, 0, 1, 5
Solve -11*k**5/3 - 388*k**4/3 - 815*k**3 - 5960*k**2/3 - 6244*k/3 - 784 = 0.
-28, -3, -2, -14/11, -1
Determine f so that -4*f**5 - 392*f**4 + 4300*f**3 - 2560*f**2 - 43536*f - 36288 = 0.
-108, -2, -1, 6, 7
Find x such that 3*x**4/7 - 915*x**3/7 + 8907*x**2/7 - 16725*x/7 - 26550/7 = 0.
-1, 5, 6, 295
Suppose m**3/4 + 7467*m**2/2 + 55756089*m/4 = 0. Calculate m.
-7467, 0
Solve b**5 + 63*b**4/2 + 338*b**3 + 3087*b**2/2 + 2916*b + 1890 = 0.
-15, -7, -6, -2, -3/2
Factor 2*q**3 - 18086*q**2 + 18080*q + 36168.
2*(q - 9042)*(q - 2)*(q + 1)
Suppose -2*r**2/7 - 230072*r/7 = 0. Calculate r.
-115036, 0
Let -33*n**5 + 95*n**4/4 + 41*n**3 - 95*n**2/4 - 8*n = 0. What is n?
-1, -1/4, 0, 32/33, 1
Factor 2*p**3/21 - 80*p**2/21 + 454*p/21 + 3224/21.
2*(p - 31)*(p - 13)*(p + 4)/21
Let 3*s**3 - 1032*s**2 + 64512*s + 4423680 = 0. What is s?
-40, 192
Solve 8*u**2/3 - 233854*u/3 - 19488 = 0 for u.
-1/4, 29232
Find b such that -3*b**3 + 291*b**2 + 23715*b - 2309283 = 0.
-89, 93
Suppose 7*p**2/3 - 3662*p - 6280/3 = 0. Calculate p.
-4/7, 1570
Find a such that a**5 + 139*a**4 - 711*a**3 + 1289*a**2 - 1006*a + 288 = 0.
-144, 1, 2
Let -3*t**4/5 + 42*t**3/5 - 87*t**2/5 - 132*t/5 = 0. What is t?
-1, 0, 4, 11
Factor -3*x**5/5 + 4*x**4 - 39*x**3/5 + 18*x**2/5.
-x**2*(x - 3)**2*(3*x - 2)/5
Determine j so that 2*j**4/19 - 668*j**3/19 + 23352*j**2/19 + 49392*j/19 = 0.
-2, 0, 42, 294
Let 2*a**3/7 + 1076*a**2/7