Determine u so that u**3 - 147*u**2 + 1379*u - 1233 = 0.
1, 9, 137
Solve y**2/3 + 609094*y/3 + 92748875209/3 = 0 for y.
-304547
Let -2*a**5/5 - 268*a**4/5 + 2532*a**3/5 - 5968*a**2/5 + 5422*a/5 - 1716/5 = 0. What is a?
-143, 1, 6
Solve 3*a**3/2 + 1476*a**2 + 20427*a/2 - 43965 = 0 for a.
-977, -10, 3
Let -2*b**2/7 + 484*b/7 - 21594/7 = 0. Calculate b.
59, 183
Factor 4*i**4 - 19360*i**3 + 23464288*i**2 - 93624960*i + 93547584.
4*(i - 2418)**2*(i - 2)**2
Find v, given that 5*v**2/3 + 1050*v = 0.
-630, 0
Solve 16*l**5/5 + 112*l**4 - 1356*l**3/5 - 6176*l**2/5 + 6908*l/5 - 1776/5 = 0.
-37, -3, 1/2, 4
Find f, given that -2*f**4 - 30*f**3 + 402*f**2 - 706*f + 336 = 0.
-24, 1, 7
Solve -8*m**2/7 + 17614*m/7 + 4404/7 = 0.
-1/4, 2202
Suppose -4418*g**5/7 + 640046*g**4/7 + 2688946*g**3/7 + 4185082*g**2/7 + 2885600*g/7 + 745000/7 = 0. Calculate g.
-50/47, -1, 149
Let 2*q**2/5 - 375384*q/5 + 17614143432/5 = 0. What is q?
93846
Factor -74241*o**3 + 296962*o**2 - 296956*o - 8.
-(o - 2)**2*(74241*o + 2)
Let b**3 + 26*b**2 - 487*b - 2960 = 0. What is b?
-37, -5, 16
Factor 4*s**2 + 79496*s + 394975876.
4*(s + 9937)**2
Factor -i**2 - 13813*i - 27622.
-(i + 2)*(i + 13811)
Factor j**4/4 - 97*j**3/4 + 93*j**2/2 + 97*j - 190.
(j - 95)*(j - 2)**2*(j + 2)/4
Factor g**2/9 - 371*g/9 + 6688/9.
(g - 352)*(g - 19)/9
Solve -g**3 - 1229*g**2/2 + 16943*g/2 - 4082 = 0 for g.
-628, 1/2, 13
Factor -4*s**2 + 86432*s - 86428.
-4*(s - 21607)*(s - 1)
Factor -4*y**3 + 1432*y**2 - 105764*y - 4171888.
-4*(y - 193)**2*(y + 28)
Determine z, given that 1362420*z**5 + 42759108*z**4 + 57111056*z**3 + 15466240*z**2 - 247168*z + 960 = 0.
-30, -1, -2/5, 2/261
Factor 2*z**5/3 + 524*z**4/3 - 1054*z**3/3 + 176*z**2.
2*z**2*(z - 1)**2*(z + 264)/3
Factor 9*x**2 - 336039*x + 224022.
3*(x - 37337)*(3*x - 2)
What is n in -n**3/5 - 40*n**2 - 3008*n/5 - 11776/5 = 0?
-184, -8
Find m, given that -m**3 + 952*m**2 + 15424*m + 61952 = 0.
-8, 968
Determine f so that -2*f**2/5 - 192*f/5 - 3886/5 = 0.
-67, -29
Determine o, given that -o**3/2 + 732*o**2 - 2909*o/2 - 10965 = 0.
-3, 5, 1462
Suppose 8*v**3 - 5796*v**2 + 2591961*v/2 - 184339957/2 = 0. What is v?
703/4, 373
Determine o so that -2*o**2/3 - 192308*o = 0.
-288462, 0
Factor -2*t**5/13 - 374*t**4/13 + 2292*t**3/13 - 4616*t**2/13 + 3088*t/13.
-2*t*(t - 2)**3*(t + 193)/13
Factor -5257*g**2/2 + 5253*g/2 + 2.
-(g - 1)*(5257*g + 4)/2
Factor -2*z**2/3 + 19130*z/3 - 139964.
-2*(z - 9543)*(z - 22)/3
Factor 4*l**3 - 5908*l**2 + 82124*l - 286748.
4*(l - 1463)*(l - 7)**2
Suppose -5*y**4 + 1260*y**3 - 4885*y**2 - 18690*y + 22320 = 0. Calculate y.
-3, 1, 6, 248
Find k, given that -25*k**4 - 1155*k**3 - 65421*k**2/4 - 139293*k/2 - 363609/4 = 0.
-201/10, -3
Let -b**3/5 + 4*b**2 + 43*b/5 + 22/5 = 0. What is b?
-1, 22
Factor -v**2 + 33414*v - 279123849.
-(v - 16707)**2
Find k such that -5*k**4 + 310*k**3 - 360*k**2 - 14400*k = 0.
-6, 0, 8, 60
Factor -5*o**2 - 2290*o - 4560.
-5*(o + 2)*(o + 456)
Let -26*o**5/9 + 242*o**4/9 + 188*o**3/9 - 80*o**2/9 = 0. What is o?
-1, 0, 4/13, 10
Find a such that -a**5 - 35*a**4 + 2*a**3 + 70*a**2 - a - 35 = 0.
-35, -1, 1
Determine j, given that 10*j**3 - 2342*j**2 - 4252*j + 944 = 0.
-2, 1/5, 236
Factor 2*d**3 + 52*d**2 + 176*d.
2*d*(d + 4)*(d + 22)
Factor -5*v**2/4 + 689125*v - 94978653125.
-5*(v - 275650)**2/4
Factor 267*l**3 - 537*l**2 - 795*l + 9.
3*(l - 3)*(l + 1)*(89*l - 1)
Find n, given that 10353*n**2/4 - 5172*n - 9 = 0.
-6/3451, 2
Solve -n**4 - 2136*n**3 - 1267254*n**2 - 135240840*n - 4008789225 = 0 for n.
-1005, -63
Factor 3*f**2/5 + 42*f - 52632/5.
3*(f - 102)*(f + 172)/5
What is l in 5*l**4/9 - 1148*l**3/3 - 14534*l**2/9 - 4388*l/3 - 231 = 0?
-3, -1, -1/5, 693
Solve -16*p**3/9 + 4844*p**2/9 - 114400*p/3 - 400192 = 0.
-37/4, 156
Factor 2*b**2/21 + 22436*b/21 - 22478.
2*(b - 21)*(b + 11239)/21
Suppose 2*z**5/3 + 96*z**4 - 4286*z**3/3 + 21524*z**2/3 - 14680*z + 31600/3 = 0. Calculate z.
-158, 2, 5
Suppose 2*w**5/7 + 396*w**4/7 + 1168*w**3/7 - 396*w**2/7 - 1170*w/7 = 0. What is w?
-195, -3, -1, 0, 1
Factor 5*a**2/2 - 625*a/2 - 6435.
5*(a - 143)*(a + 18)/2
Factor -m**2 + 122*m + 1320.
-(m - 132)*(m + 10)
Factor -2*l**3/9 - 3836*l**2/9 - 1820032*l/9 + 18585920/9.
-2*(l - 10)*(l + 964)**2/9
Factor 3*j**3 + 939*j**2 - 8634*j + 19320.
3*(j - 5)*(j - 4)*(j + 322)
Solve -10*i**5 - 335*i**4/3 + 6785*i**3/3 + 10500*i**2 + 36260*i/3 + 5200/3 = 0.
-20, -2, -1/6, 13
Factor -z**2/5 - 78046*z/5 - 1522794529/5.
-(z + 39023)**2/5
Determine t so that -3*t**3 + 74184*t**2 + 2227545*t + 16711650 = 0.
-15, 24758
Factor 3*d**5/2 - 117*d**4 - 483*d**3 - 732*d**2 - 981*d/2 - 123.
3*(d - 82)*(d + 1)**4/2
Find o, given that -8*o**2 - 261598*o + 65400 = 0.
-32700, 1/4
Find r such that -33*r**5/5 + 138*r**4/5 + 1401*r**3/5 + 582*r**2/5 - 2808*r/5 = 0.
-4, -2, 0, 13/11, 9
Factor u**2/2 + 49419*u/4 + 24709/4.
(u + 24709)*(2*u + 1)/4
Determine j, given that 4*j**2 + 712*j - 7520 = 0.
-188, 10
Suppose t**3/11 - 4122*t**2/11 + 4119*t/11 + 8242/11 = 0. What is t?
-1, 2, 4121
Factor -3*f**2 - 6543*f - 84552.
-3*(f + 13)*(f + 2168)
Factor -5*o**2/6 - 59225*o/2 + 88840/3.
-5*(o - 1)*(o + 35536)/6
Let -5*s**5/4 + 277*s**4/4 - 185*s**3/2 - 109*s**2 + 54*s = 0. Calculate s.
-1, 0, 2/5, 2, 54
Factor 2*a**2/9 + 9226*a - 83036/9.
2*(a - 1)*(a + 41518)/9
Factor 7*x**2/6 + 1205*x/3 + 344/3.
(x + 344)*(7*x + 2)/6
What is b in -b**2/6 - 721*b/6 - 1185 = 0?
-711, -10
Determine c, given that -c**4/5 - 288*c**3 - 514053*c**2/5 + 3136374*c/5 = 0.
-723, 0, 6
Solve 68*b**5/7 + 9196*b**4/7 + 7944*b**3 + 16912*b**2 + 95072*b/7 + 16512/7 = 0 for b.
-129, -2, -4/17
Determine w so that -w**2 + 20*w + 1421 = 0.
-29, 49
Factor -4*l**3 - 2540*l**2 - 401952*l + 404496.
-4*(l - 1)*(l + 318)**2
Factor -5*r**2 + 32630*r.
-5*r*(r - 6526)
Suppose -504*s**3/5 - 9092*s**2/5 - 41184*s/5 - 324 = 0. What is s?
-9, -5/126
Factor 4*k**4 - 5768*k**3 + 2090832*k**2 - 8242616*k - 10339220.
4*(k - 719)**2*(k - 5)*(k + 1)
Factor 2*p**2/9 + 7774*p/9 + 7768/3.
2*(p + 3)*(p + 3884)/9
What is c in 3*c**3 - 65847*c**2 + 4073865*c - 63100221 = 0?
31, 21887
Factor -147*d**2 - 5442*d - 111.
-3*(d + 37)*(49*d + 1)
Factor -c**2/2 - 149*c/2 + 465.
-(c - 6)*(c + 155)/2
Suppose 12*g**4 + 273*g**3 + 1131*g**2 - 3900*g + 900 = 0. What is g?
-15, -10, 1/4, 2
Solve -h**2 - 505*h - 5434 = 0 for h.
-494, -11
Factor -64*o**4 - 4752*o**3 - 121980*o**2 - 1182275*o - 2572125.
-(o + 3)*(4*o + 95)**3
Suppose -o**2 - 69*o - 1134 = 0. Calculate o.
-42, -27
Let 6*l**3/5 + 105894*l**2/5 = 0. What is l?
-17649, 0
Find o such that -3*o**3 - 8745*o**2 + 353400*o - 3546000 = 0.
-2955, 20
Factor -4*r**2 + 13288*r + 26592.
-4*(r - 3324)*(r + 2)
Factor o**4/4 + 163*o**3/8 + 30*o**2.
o**2*(o + 80)*(2*o + 3)/8
Find z, given that 5*z**4 - 200*z**3 + 655*z**2 + 7400*z + 10500 = 0.
-3, -2, 10, 35
Factor -5*d**3 - 240*d**2 + 4800*d + 256000.
-5*(d - 32)*(d + 40)**2
Determine g, given that -3*g**2/7 - 99576*g/7 + 99579/7 = 0.
-33193, 1
Let -2*k**4 + 50*k**3 + 878*k**2 + 4030*k + 5700 = 0. Calculate k.
-5, -3, 38
Factor -5*i**5/3 - 100*i**4 - 1775*i**3 - 12650*i**2/3 + 84700*i - 159720.
-5*(i - 3)**2*(i + 22)**3/3
Factor -3*h**2/4 - 735*h/4 - 4851/2.
-3*(h + 14)*(h + 231)/4
Determine p, given that -4*p**5 + 216*p**4 - 188*p**3 - 1272*p**2 = 0.
-2, 0, 3, 53
Find x, given that 35*x**3/4 + 3665*x**2/2 + 93545*x - 252810 = 0.
-106, 18/7
Factor -3*x**3 + 2274*x**2 - 325563*x - 42134640.
-3*(x - 419)**2*(x + 80)
Factor -c**3/2 + 1273*c**2/2 + 637*c.
-c*(c - 1274)*(c + 1)/2
Factor -2*t**3 + 7264*t**2 - 416266*t + 6011468.
-2*(t - 3574)*(t - 29)**2
Factor r**3 + 725416*r**2 - r - 725416.
(r - 1)*(r + 1)*(r + 725416)
Suppose o**2 + 905656*o + 905655 = 0. Calculate o.
-905655, -1
Determine s so that -6*s**5 - 386*s**4/7 - 1290*s**3/7 - 1870*s**2/7 - 1068*s/7 - 144/7 = 0.
-3, -2, -1, -4/21
Factor 2*a**2/9 + 60112*a/3 + 180334/9.
2*(a + 1)*(a + 90167)/9
Factor 2*z**3 - 16656*z**2 + 34711080*z - 138577952.
2*(z - 4162)**2*(z - 4)
Determine w, given that -4*w**4 + 16816*w**3 + 50472*w**2 + 50480*w + 16828 = 0.
-1, 4207
Solve -2*z**3/17 - 2988*z**2/17 - 1202880*z/17 - 63569344/17 = 0.
-716, -62
Factor 4*h**3 + 579692*h**2 + 21002386080*h - 21002965776.
4*(h - 1)*(h + 72462)**2
Let -4*j**3 - 28*j**2 + 56*j + 192 = 0. Calculate j.
-8, -2, 3
Determine x so that x**3