 2065)
Determine b, given that -5*b**3 + 759125*b**2 + 1518265*b + 759135 = 0.
-1, 151827
Factor 2*r**3/17 - 7290*r**2/17 - 7292*r/17.
2*r*(r - 3646)*(r + 1)/17
Let 12*r**4 - 128*r**3 - 208*r**2 + 192*r = 0. What is r?
-2, 0, 2/3, 12
Solve -m**2/3 + 1367434*m/3 - 467468936089/3 = 0 for m.
683717
Factor -2*h**3/15 - 51472*h**2/15 + 17158*h/5.
-2*h*(h - 1)*(h + 25737)/15
Determine t, given that 5*t**4 + 1605*t**3 + 109795*t**2 - 3241305*t - 14620500 = 0.
-171, -4, 25
Factor 4*v**2 + 740*v + 16536.
4*(v + 26)*(v + 159)
Factor -5*r**2 + 20040*r + 40100.
-5*(r - 4010)*(r + 2)
Find x, given that 5*x**5 + 345*x**4 + 4725*x**3 - 26665*x**2 - 31050*x = 0.
-46, -27, -1, 0, 5
Determine z, given that 2*z**5/19 - 14*z**4/19 - 186*z**3/19 - 154*z**2/19 + 184*z/19 + 168/19 = 0.
-6, -1, 1, 14
Factor -2*s**2/15 + 754*s/15 - 1036/3.
-2*(s - 370)*(s - 7)/15
Factor -3*q**3/2 - 309*q**2/2 - 267*q + 3636.
-3*(q - 4)*(q + 6)*(q + 101)/2
Factor -2*a**2/13 - 12*a/13.
-2*a*(a + 6)/13
Suppose 4*b**3 - 5632*b**2 - 16932*b = 0. Calculate b.
-3, 0, 1411
Determine p, given that 2*p**3/11 + 240*p**2/11 - 2*p/11 - 240/11 = 0.
-120, -1, 1
Find t, given that -4*t**3/5 - 15268*t**2/5 + 1177696*t/5 - 22485968/5 = 0.
-3893, 38
Solve -2*m**2/5 + 558*m - 182988/5 = 0.
69, 1326
Let -2*g**5/5 + 18*g**4 + 26*g**3/5 - 1146*g**2/5 - 216*g = 0. What is g?
-3, -1, 0, 4, 45
Factor 9*y**2 + 40175*y + 40166.
(y + 1)*(9*y + 40166)
Factor 5*w**4 - 215*w**3 + 3185*w**2 - 18645*w + 32670.
5*(w - 18)*(w - 11)**2*(w - 3)
Factor u**2/5 - 154474*u/5 + 5965554169/5.
(u - 77237)**2/5
Factor -5*v**3 - 3375*v**2 - 554040*v + 5263380.
-5*(v - 9)*(v + 342)**2
Let -2*f**4/3 + 1312*f**3/3 + 1768*f**2 - 5280*f = 0. Calculate f.
-6, 0, 2, 660
Factor -2*n**3/15 + 184*n**2/15 + 3072*n/5.
-2*n*(n - 128)*(n + 36)/15
Factor 2*a**4 - 116*a**3 + 544*a**2 - 748*a + 318.
2*(a - 53)*(a - 3)*(a - 1)**2
Solve -2*l**4/11 + 17396*l**3/11 - 37827600*l**2/11 - 17396*l/11 + 37827602/11 = 0.
-1, 1, 4349
Solve 2*r**4/15 + 248*r**3/15 - 2034*r**2/5 + 46228*r/15 - 114464/15 = 0 for r.
-146, 7, 8
Find d such that -3*d**2 - 2157*d + 178650 = 0.
-794, 75
Suppose -10*v**3/3 - 677584*v**2/3 - 948602*v/3 - 271028/3 = 0. Calculate v.
-67757, -1, -2/5
Factor f**2/4 - 2423*f/4 - 171319/2.
(f - 2557)*(f + 134)/4
Find h such that 2*h**2 + 665666*h - 1331340 = 0.
-332835, 2
Factor 2*f**3/3 + 7412*f**2/3 + 14806*f + 22200.
2*(f + 3)**2*(f + 3700)/3
Solve 52*m**5/3 - 808*m**4/3 - 128*m**3 = 0 for m.
-6/13, 0, 16
Suppose -d**5/5 + 29*d**4/5 + 5*d**3 - 133*d**2 - 1704*d/5 - 1044/5 = 0. Calculate d.
-3, -2, -1, 6, 29
Find x such that 45*x**2 + 538285*x - 59810 = 0.
-11962, 1/9
Find q such that -2*q**4 + 12204*q**3 - 48782*q**2 - 12204*q + 48784 = 0.
-1, 1, 4, 6098
Solve -144*w**2 - 4811*w - 1947 = 0.
-33, -59/144
Factor 2*i**2/13 + 837580*i/13 + 87692532050/13.
2*(i + 209395)**2/13
Determine b so that 2*b**2/3 + 214328*b + 17226184344 = 0.
-160746
Solve -16*m**4 - 1192*m**3 + 18903*m**2 - 9227*m + 1144 = 0.
-88, 1/4, 13
Solve -m**4/4 - 141*m**3/4 - 809*m**2/4 + 141*m/4 + 405/2 = 0.
-135, -6, -1, 1
Determine o so that 2*o**4 + 1606*o**3 + 6368*o**2 - 19176*o = 0.
-799, -6, 0, 2
Find o, given that o**3 + 1246*o**2 + 101609*o + 2144840 = 0.
-1160, -43
Find x, given that 1728*x**4 + 43344*x**3 + 277140*x**2 + 66603*x = 0.
-149/12, -1/4, 0
Determine y so that -4*y**4/5 + 1028*y**3/5 + 4172*y**2/5 + 1068*y/5 - 6264/5 = 0.
-3, -2, 1, 261
Find f such that -44*f**3/13 + 11254*f**2/13 - 71424*f/13 + 32904/13 = 0.
1/2, 6, 2742/11
Factor -4*m**3/7 - 68456*m**2/7 + 136924*m/7 - 68464/7.
-4*(m - 1)**2*(m + 17116)/7
Determine r, given that 2*r**2/5 - 20468*r/5 + 52367378/5 = 0.
5117
Factor 5*k**4 - 255*k**3 + 600*k**2 + 5620*k + 6720.
5*(k - 48)*(k - 7)*(k + 2)**2
Solve -2*z**3/17 + 330*z**2/17 - 9024*z/17 - 406456/17 = 0 for z.
-23, 94
Determine c so that -16*c**4/3 + 4628*c**3/3 - 323380*c**2/3 - 549388*c + 144060 = 0.
-5, 1/4, 147
Factor -4*w**3/3 + 2528*w**2 - 581120*w/3.
-4*w*(w - 1816)*(w - 80)/3
Find g, given that -g**2/2 + 2923*g/2 + 1462 = 0.
-1, 2924
Let j**2/5 + 1932*j/5 + 11556/5 = 0. What is j?
-1926, -6
Suppose q**3/9 + 191*q**2/9 - 980*q/9 = 0. Calculate q.
-196, 0, 5
Determine q, given that -q**3/4 - 8635*q**2/2 - 18636488*q + 37290248 = 0.
-8636, 2
Factor 1948566*p**3/7 + 55892*p**2/7 - 440*p/7 - 16/7.
2*(89*p + 2)**2*(123*p - 2)/7
Find m, given that -5*m**2/2 + 132780*m - 1763052840 = 0.
26556
Factor -132*j**2 + 288676*j + 17496.
-4*(j - 2187)*(33*j + 2)
Let 12*k**3 + 5364*k**2 - 16173*k - 163613256 = 0. Calculate k.
-599/2, 152
Factor u**2/2 - 129*u + 1000.
(u - 250)*(u - 8)/2
Factor -22*z**2/7 + 56*z - 640/7.
-2*(z - 16)*(11*z - 20)/7
Factor n**4 - 328*n**3 + 326*n**2 + 328*n - 327.
(n - 327)*(n - 1)**2*(n + 1)
Find d, given that 4*d**4 - 1400*d**3 + 145536*d**2 - 3793160*d - 3940100 = 0.
-1, 41, 155
Solve n**2/5 - 158*n + 2325 = 0 for n.
15, 775
What is k in k**4/3 + 8*k**3 - 29*k**2/3 - 32*k + 100/3 = 0?
-25, -2, 1, 2
Suppose -b**3/5 + 5812*b**2/5 + 5813*b/5 = 0. What is b?
-1, 0, 5813
Factor 4*r**2/5 - 21776*r/5 - 43568/5.
4*(r - 5446)*(r + 2)/5
Solve -20*i**5/3 + 3667*i**4/3 - 1630*i**3 - 4364*i**2/3 - 728*i/3 = 0.
-2/5, -1/4, 0, 2, 182
Find r such that -46*r**5/7 + 1790*r**4/7 + 478*r**3/7 - 12254*r**2/7 - 11832*r/7 - 936/7 = 0.
-2, -1, -2/23, 3, 39
Suppose -3*d**3 - 3279*d**2 - 380157*d + 383439 = 0. What is d?
-961, -133, 1
Determine m so that -2*m**5 + 65076*m**4/5 - 364198*m**3/5 + 559188*m**2/5 - 104008*m/5 - 156048/5 = 0.
-2/5, 1, 2, 3, 6502
Suppose 291*t**5/2 - 7129*t**4 + 52331*t**3/2 + 90*t**2 = 0. Calculate t.
-1/291, 0, 4, 45
Solve 2*o**2 + 66704*o + 556177952 = 0 for o.
-16676
Suppose -8*l**4/3 + 5261*l**3/3 + 9514*l**2 - 7287*l - 3978 = 0. What is l?
-6, -3/8, 1, 663
Find g such that -3276100*g**2 - 112220*g - 961 = 0.
-31/1810
Find j, given that 2*j**2/11 - 182*j + 465888/11 = 0.
368, 633
Let -48*w**4 - 2156*w**3 - 21228*w**2 + 53624*w - 4320 = 0. What is w?
-27, -20, 1/12, 2
Suppose -289*g**5 + 478431*g**4 - 198358583*g**3 + 290921249*g**2 - 103983672*g + 10942864 = 0. Calculate g.
4/17, 1, 827
What is t in -2*t**4/21 - 1900*t**3/21 - 9400*t**2/7 - 140500*t/21 - 233750/21 = 0?
-935, -5
Factor -3*a**4 - 35091*a**3 + 632286*a**2 - 3795012*a + 7591320.
-3*(a - 6)**3*(a + 11715)
Suppose -v**3/6 - 1539*v**2 - 64595*v/6 - 9227 = 0. What is v?
-9227, -6, -1
Factor -n**3 + 66*n**2 - 563*n - 2310.
-(n - 55)*(n - 14)*(n + 3)
Factor -4*j**3 + 740*j**2 + 4548*j + 6876.
-4*(j - 191)*(j + 3)**2
Factor -3*a**2 + 14352*a - 186069.
-3*(a - 4771)*(a - 13)
Solve -2*l**5/3 + 104*l**4 + 5768*l**3/3 + 19948*l**2/3 - 12930*l - 53284/3 = 0.
-11, -7, -1, 2, 173
Factor -3*x**2/2 - 357*x/2 - 2340.
-3*(x + 15)*(x + 104)/2
Factor 5*z**3 + 15*z**2 - 540*z - 1100.
5*(z - 10)*(z + 2)*(z + 11)
Factor w**2/4 + 96807*w + 9371595249.
(w + 193614)**2/4
What is x in 2*x**5/9 - 1078*x**4/9 + 716*x**3/3 = 0?
0, 2, 537
Factor t**3/2 - 1033*t**2/2 + 77744*t - 3183978.
(t - 861)*(t - 86)**2/2
Factor 3*h**3/4 + 141*h**2/4 - 405*h - 1512.
3*(h - 12)*(h + 3)*(h + 56)/4
Find r such that -5*r**5 + 425*r**4 - 11115*r**3 + 90335*r**2 - 291560*r + 328560 = 0.
3, 4, 37
Factor -5*z**3 + 10820*z**2 + 5*z - 10820.
-5*(z - 2164)*(z - 1)*(z + 1)
Let -686*c**5 - 149842*c**4 + 237412*c**3 + 54360*c**2 - 237168*c + 95040 = 0. What is c?
-220, -1, 6/7
Determine r, given that -r**3/5 + 40616*r**2/5 + 243724*r/5 + 324976/5 = 0.
-4, -2, 40622
Let 2558322*l**2/11 - 18096*l + 352 = 0. Calculate l.
44/1131
Factor -3*u**5/7 - 480*u**4/7 + 69*u**3.
-3*u**3*(u - 1)*(u + 161)/7
Factor -2*j**2/11 - 1514*j/11 - 87444/11.
-2*(j + 63)*(j + 694)/11
Determine d so that -1444*d**3 - 18012*d**2 - 73440*d - 97200 = 0.
-90/19, -3
Solve -n**2/2 - 7772*n - 30201992 = 0 for n.
-7772
Suppose -2*y**3 + 1064*y + 2112 = 0. What is y?
-22, -2, 24
Determine v so that 2*v**4/7 - 863*v**3/7 - 1307*v**2/7 + 3467*v/7 - 1299/7 = 0.
-3, 1/2, 1, 433
Determine v so that -744*v**4 - 8187*v**3 + 8895*v**2 + 36*v = 0.
-12, -1/248, 0, 1
Suppose 6*d**2/7 + 1110990*d/7 + 2221956/7 = 0. What is d?
-185163, -2
Factor -5*q**3 - 2100*q**2 - 216915*q + 219020.
-5*(q - 1)*(q + 188)*(q + 233)
Let 21*p**4/8 + 37047*p**3/4 + 8170848*p**2 + 2333772*p = 0. What is p?
-1764, -2/7, 0
Factor 2*a**2/5 - 378*a/5 + 2156.
2*(a - 154)*(a 