12)
Determine y, given that 4*y**5/3 + 571*y**4/9 + 2207*y**3/3 - 3004*y**2/9 - 572*y/3 = 0.
-26, -22, -1/3, 0, 3/4
Solve -3*k**2 + 3093*k + 543456 = 0.
-153, 1184
Suppose -x**4 + 2427*x**3/10 + 2834*x**2/5 - 8049*x/10 - 882 = 0. Calculate x.
-3, -4/5, 3/2, 245
Factor 5*n**3/3 - 3461*n**2/3 - 6248*n/3 + 1388/3.
(n - 694)*(n + 2)*(5*n - 1)/3
Let -22*v**5 + 70*v**4 + 1726*v**3 - 5662*v**2 + 4536*v - 648 = 0. Calculate v.
-9, 2/11, 1, 2, 9
Factor 3*a**3/2 - 384*a**2 + 40623*a/2 - 19929.
3*(a - 182)*(a - 73)*(a - 1)/2
Solve -s**3 + 240*s**2 - 14637*s + 28322 = 0 for s.
2, 119
Suppose q**2/5 - 80889*q + 808886/5 = 0. Calculate q.
2, 404443
Solve -57*t**3 - 2610*t**2 - 11133*t + 2460 = 0.
-41, -5, 4/19
Factor l**2/3 + 113891*l/3 + 113890/3.
(l + 1)*(l + 113890)/3
Find o such that 4*o**3 - 6020*o**2 + 1826812*o + 344424324 = 0.
-129, 817
What is c in -5*c**3 - 11745*c**2 + 514500*c + 526240 = 0?
-2392, -1, 44
Factor -3*g**3/8 + 6843*g**2/8 - 488205*g + 487350.
-3*(g - 1140)**2*(g - 1)/8
Find o such that 5*o**3 - 3115*o**2 + 3110*o = 0.
0, 1, 622
Solve 75*b**2 + 3378420*b + 38045738988 = 0 for b.
-112614/5
Find k, given that -50*k**3 + 481810*k**2 - 1160945248*k + 1160463488 = 0.
1, 24088/5
Factor -4*d**2/5 - 2652*d/5 - 10544/5.
-4*(d + 4)*(d + 659)/5
Factor 10*y**3 + 9402*y**2 - 73804*y + 132720.
2*(y - 5)*(y + 948)*(5*y - 14)
What is i in 84*i**4/5 + 26457*i**3/5 + 2121903*i**2/5 + 6056856*i/5 - 219024/5 = 0?
-156, -3, 1/28
Find t, given that -126*t**4/17 - 1234988*t**3/17 - 607606*t**2/17 + 548848*t/17 - 78408/17 = 0.
-9801, -1, 2/9, 2/7
Factor -x**3 + 33344*x**2 - 277988925*x + 555844482.
-(x - 16671)**2*(x - 2)
Solve -10*d**4/7 + 681*d**3/7 - 697*d**2/7 - 2724*d/7 + 2948/7 = 0 for d.
-2, 11/10, 2, 67
Factor u**2/4 + 14421*u/4 + 14417.
(u + 4)*(u + 14417)/4
Solve -21*z**4 - 705*z**3 - 6444*z**2 - 8832*z - 3072 = 0.
-16, -1, -4/7
Determine t so that -t**4 - 1422*t**3 - 512581*t**2 - 5019660*t - 12460900 = 0.
-706, -5
Solve -5*j**2 - 18175*j - 522870 = 0.
-3606, -29
Solve -l**3 - 7*l**2 + 325*l + 3211 = 0.
-13, 19
Factor -702*p**2/5 - 4782*p/5 - 3816/5.
-6*(9*p + 53)*(13*p + 12)/5
Find s such that s**4/10 + 441*s**3/2 + 29487*s**2/5 + 182854*s/5 - 213444/5 = 0.
-2178, -14, 1
Determine s, given that -700*s**3 + 445*s**2 - 70*s = 0.
0, 2/7, 7/20
Factor 194*t**2 + 7920*t - 1394.
2*(t + 41)*(97*t - 17)
Find j such that -3*j**2 - 316008*j - 8321754672 = 0.
-52668
Factor -c**2 - 61*c - 60.
-(c + 1)*(c + 60)
Factor 4*h**4 + 136*h**3 + 960*h**2 + 1528*h + 700.
4*(h + 1)**2*(h + 7)*(h + 25)
Let 4*m**2 - 3972*m + 15824 = 0. What is m?
4, 989
What is m in 3*m**2/4 + 171*m + 4704 = 0?
-196, -32
Factor -3*j**2/2 + 1767*j/2 + 1773.
-3*(j - 591)*(j + 2)/2
Factor u**2/2 - 13173*u/4 + 13171/4.
(u - 1)*(2*u - 13171)/4
Factor 8*b**2 + 10294*b - 2574.
2*(b + 1287)*(4*b - 1)
Factor 5*s**2/2 - 32460*s - 64925/2.
5*(s - 12985)*(s + 1)/2
Suppose -u**5/3 - 94666*u**4/3 - 567973*u**3/3 - 1230592*u**2/3 - 1135924*u/3 - 378640/3 = 0. Calculate u.
-94660, -2, -1
Factor -4*m**2 - 13592*m - 13588.
-4*(m + 1)*(m + 3397)
Let 3*o**5 - 1977*o**4 - 1986*o**3 + 3960*o**2 = 0. What is o?
-2, 0, 1, 660
Factor 2*v**2/13 + 682*v/13 - 20664/13.
2*(v - 28)*(v + 369)/13
Let u**2/3 + 1311*u + 3932/3 = 0. What is u?
-3932, -1
Factor 3*h**2 + 1591002*h + 210940613667.
3*(h + 265167)**2
Factor -4*j**3 - 576*j**2 - 2780*j.
-4*j*(j + 5)*(j + 139)
Let -5*w**3 + 13050*w**2 - 78160*w + 104160 = 0. What is w?
2, 4, 2604
Factor 5*a**3 + 295*a**2 - 39025*a + 790125.
5*(a - 35)**2*(a + 129)
Suppose -m**5 - 1278*m**4 - 405744*m**3 + 1655026*m**2 + 3651777*m - 14791716 = 0. What is m?
-641, -3, 3, 4
Let -5*h**3 + 12965*h**2 - 8411040*h + 8398080 = 0. Calculate h.
1, 1296
Let 2*t**3/11 - 20920*t**2/11 - 377046*t/11 - 1697436/11 = 0. Calculate t.
-9, 10478
Factor n**3/5 - 127*n**2/5 + 3134*n/5 - 3008/5.
(n - 94)*(n - 32)*(n - 1)/5
What is n in n**5 - 419*n**4/3 - 28648*n**3/3 - 142760*n**2 - 484432*n/3 + 521872/3 = 0?
-26, -2, 2/3, 193
Suppose 2*z**3/13 + 512*z**2/13 + 32398*z/13 - 32912/13 = 0. Calculate z.
-136, -121, 1
Factor -3*b**2/5 + 5883*b/5 + 41916.
-3*(b - 1996)*(b + 35)/5
Factor -30*m**3 + 725*m**2 + 2240*m + 1485.
-5*(m - 27)*(m + 1)*(6*m + 11)
Factor n**4/2 + n**3/2 - 177*n**2/2 - 945*n/2.
n*(n - 15)*(n + 7)*(n + 9)/2
Find y, given that -17*y**2/3 - 2452*y/3 - 192 = 0.
-144, -4/17
Let 9*k**3 + 102*k**2 + 363*k + 390 = 0. Calculate k.
-5, -13/3, -2
Suppose -3*s**4 - 6*s**3 + 1659*s**2 - 1650*s = 0. Calculate s.
-25, 0, 1, 22
Let 5*s**2 - 1086750*s + 59051278125 = 0. Calculate s.
108675
Determine k so that 2*k**5 + 40324*k**4/7 + 161128*k**3/7 + 161072*k**2/7 = 0.
-20134/7, -2, 0
What is g in 5*g**2/6 - 2115*g + 2683935/2 = 0?
1269
Determine z, given that 4*z**2 - 28668*z - 1182112 = 0.
-41, 7208
Suppose -2*i**4/5 - 42*i**3/5 - 58*i**2/5 + 378*i/5 + 684/5 = 0. What is i?
-19, -3, -2, 3
Factor -2*w**2/3 + 90800*w/3 + 90802/3.
-2*(w - 45401)*(w + 1)/3
Factor -3*c**2 - 160908*c + 321828.
-3*(c - 2)*(c + 53638)
Solve -z**3/4 - 1545*z**2/4 + 92917*z/4 - 91371/4 = 0.
-1603, 1, 57
What is r in -2*r**3 - 382*r**2 - 19838*r - 149058 = 0?
-91, -9
Find w such that 3*w**3/7 - 2157*w**2/7 + 371037*w/7 + 6061005/7 = 0.
-15, 367
What is b in 15*b**3 + 361*b**2 + 969*b + 63 = 0?
-21, -3, -1/15
Find a such that -5*a**4 + 5560*a**3 - 11075*a**2 - 27780*a + 33300 = 0.
-2, 1, 3, 1110
Factor -2*u**3 + 112*u**2 + 7680*u.
-2*u*(u - 96)*(u + 40)
What is i in -i**4/3 - 1336*i**3/3 - 154370*i**2 - 11187400*i/3 - 10725625/3 = 0?
-655, -25, -1
Solve -2*b**3 - 598*b**2 - 9022*b + 9622 = 0.
-283, -17, 1
Let -2*f**4/5 + 788*f**3/5 - 11446*f**2/5 + 28852*f/5 - 18192/5 = 0. What is f?
1, 2, 12, 379
Factor -3*d**2/2 + 106065*d + 212133/2.
-3*(d - 70711)*(d + 1)/2
Factor y**2 + 7874*y + 15499969.
(y + 3937)**2
Suppose 4*v**5 + 28*v**4 + 68*v**3 + 68*v**2 + 24*v = 0. Calculate v.
-3, -2, -1, 0
Find g, given that -22*g**2 - 6422*g + 584 = 0.
-292, 1/11
Factor 4*v**4 + 1576*v**3 + 34036*v**2 - 35616*v.
4*v*(v - 1)*(v + 24)*(v + 371)
Factor -14*t**3 - 794*t**2 - 7780*t + 2288.
-2*(t + 13)*(t + 44)*(7*t - 2)
Let -4*y**3 - 1414*y**2/9 + 350*y/3 + 400/9 = 0. Calculate y.
-40, -5/18, 1
Determine i so that -153*i**2/2 + 460*i - 6 = 0.
2/153, 6
Suppose 12*d**5 - 44608*d**4 + 415656*d**3 - 1335312*d**2 + 1601964*d - 400464 = 0. What is d?
1/3, 3, 3708
Let n**5/2 + 1761*n**4 - n**3 - 3522*n**2 + n/2 + 1761 = 0. Calculate n.
-3522, -1, 1
Suppose 5*z**5/2 - 95*z**4 - 106645*z**3/2 - 2276555*z**2 + 10234570*z + 12457900 = 0. Calculate z.
-74, -1, 5, 182
Solve -3*b**2 + 244578*b - 4984866507 = 0.
40763
Factor 3*s**3 + 5475*s**2 + 2783025*s + 252203625.
3*(s + 115)*(s + 855)**2
What is u in -5*u**5 - 1385*u**4 - 95135*u**3 + 118945*u**2 + 1573480*u + 1932100 = 0?
-139, -2, 5
Determine m, given that 4*m**4 - 10132*m**3 + 20252*m**2 - 10124*m = 0.
0, 1, 2531
Factor -80*s**4 + 109240*s**3 - 37072685*s**2 - 149604180*s - 150042420.
-5*(s + 2)**2*(4*s - 2739)**2
Determine r so that 25*r**4 + 340*r**3 - 1315*r**2 - 5530*r + 2400 = 0.
-16, -3, 2/5, 5
Find d, given that 5*d**2 - 8785*d = 0.
0, 1757
Determine k, given that -3*k**4 + 966*k**3/5 - 17424*k**2/5 + 60576*k/5 - 21504/5 = 0.
2/5, 4, 28, 32
Factor y**3/2 - 89*y**2 + 7411*y/2 + 3795.
(y - 110)*(y - 69)*(y + 1)/2
Factor 2*b**3/11 + 5794*b**2/11 + 380162*b - 21054010/11.
2*(b - 5)*(b + 1451)**2/11
Find r, given that -2*r**2/5 + 34516*r/5 + 48342 = 0.
-7, 17265
Factor -2*m**2/11 + 8120*m/11 - 8098.
-2*(m - 4049)*(m - 11)/11
Factor o**3 - 1728*o**2 + 1727*o.
o*(o - 1727)*(o - 1)
What is m in -4*m**3 + 1156*m**2 - 18680*m - 225472 = 0?
-8, 26, 271
Factor 6*k**2/11 + 96*k/11 - 16470/11.
6*(k - 45)*(k + 61)/11
Factor n**3/2 - 16747*n**2/2 - 100509*n/2 - 150777/2.
(n - 16753)*(n + 3)**2/2
Let -2*w**2/7 - 29146*w/7 - 320364/7 = 0. What is w?
-14562, -11
Let -348586*b**2/15 + 2924*b/3 - 16/15 = 0. What is b?
4/3557, 2/49
Factor t**4 + 121*t**3 + 4719*t**2 + 57011*t - 61852.
(t - 1)*(t + 28)*(t + 47)**2
Solve w**5/7 + 258*w**4/7 + 18582*w**3/7 + 251044*w**2/7 + 1032009*w/7 + 1317690/7 = 0.
-121, -10, -3
Factor 2*o**2/7 - 28132*o/7 + 98926178/7.
2*(o - 7033)**2/7
Factor s**3/4 + 2571*s**2 + 6610041*s.
s*(s + 5142)**2/4
Factor 2*s**2 - 224*s - 2440.
2*(s - 122)*(s + 10)
Factor 2*f**2/3 - 564*f - 12138.
2*(f 