 - 1)
Find f such that 4*f**4/7 - 76*f**3/7 - 2384*f**2/7 - 2304*f/7 = 0.
-16, -1, 0, 36
Let 13*g**5 - 1029*g**4 + 158*g**3 = 0. Calculate g.
0, 2/13, 79
Solve k**3 + 120*k**2 - 6363*k + 71442 = 0.
-162, 21
Find t such that -t**3 + 958*t**2 + 132615*t + 4302396 = 0.
-63, 1084
Suppose i**5 - 60*i**4 + 799*i**3 + 2832*i**2 + 1972*i = 0. Calculate i.
-2, -1, 0, 29, 34
Factor 2*c**2/17 - 2512*c/17 + 12510/17.
2*(c - 1251)*(c - 5)/17
What is f in -5*f**2 + 17000*f + 549120 = 0?
-32, 3432
Solve u**5 + 15*u**4/2 - 269*u**3/2 + 443*u**2 - 288*u - 272 = 0 for u.
-17, -1/2, 2, 4
Factor -c**3 + 543*c**2 + 1089*c + 545.
-(c - 545)*(c + 1)**2
Determine j so that 2*j**3/7 - 92*j**2/7 - 9894*j/7 = 0.
-51, 0, 97
Factor 2*t**4/7 + 222*t**3/7 + 1648*t**2/7.
2*t**2*(t + 8)*(t + 103)/7
Factor 2*m**3/17 + 72*m**2/17 + 486*m/17.
2*m*(m + 9)*(m + 27)/17
Suppose -n**2/3 + 13840*n/3 + 13841/3 = 0. Calculate n.
-1, 13841
Find b such that -b**3/5 - 996*b**2/5 + 999*b/5 + 1994/5 = 0.
-997, -1, 2
Solve 2*g**2/5 + 90334*g/5 + 90332/5 = 0.
-45166, -1
Find r such that -4*r**5 - 1408*r**4 - 25536*r**3 - 75224*r**2 + 232708*r - 130536 = 0.
-333, -14, -7, 1
Solve x**5/10 - 207*x**4/10 + 1563*x**3/2 + 299647*x**2/10 + 1054092*x/5 + 181656 = 0 for x.
-15, -9, -1, 116
Suppose 3*a**2 + 33834*a = 0. What is a?
-11278, 0
Factor -2*k**3/7 + 59312*k**2/7 + 118630*k/7 + 59316/7.
-2*(k - 29658)*(k + 1)**2/7
Factor -2*r**2/3 - 118*r - 348.
-2*(r + 3)*(r + 174)/3
Solve 8*l**5 + 1022*l**4 - 2360*l**3 - 2594*l**2 + 780*l = 0 for l.
-130, -1, 0, 1/4, 3
Determine b so that -8*b**2/7 - 13962*b/7 + 13970/7 = 0.
-6985/4, 1
Factor 432*w**2 - 179784*w + 18705027.
3*(12*w - 2497)**2
Factor n**4 + 6173*n**3 - 12354*n**2 - 24692*n + 49400.
(n - 2)**2*(n + 2)*(n + 6175)
Factor -3*z**2/2 - 175584*z - 5138290176.
-3*(z + 58528)**2/2
Factor -l**2/3 - 94*l + 35145.
-(l - 213)*(l + 495)/3
Factor x**3 - 3241*x**2 + 179144*x - 2497040.
(x - 3185)*(x - 28)**2
Determine u, given that 25*u**2 - 1926985*u + 770790 = 0.
2/5, 77079
Suppose 3*q**2/8 + 285*q/8 + 231 = 0. What is q?
-88, -7
Determine u so that -5*u**4 + 1610*u**3 + 248840*u**2 + 8442310*u + 23131245 = 0.
-59, -3, 443
Determine b, given that 5*b**2 + 1170940*b + 68555024180 = 0.
-117094
Suppose 5*l**5 + 333*l**4 - 834*l**3 - 24200*l**2 + 9792*l = 0. What is l?
-68, -8, 0, 2/5, 9
Factor -61*z**3 + 8*z**2 + 167*z - 114.
-(z - 1)**2*(61*z + 114)
Factor 4*r**3 - 592*r**2 + 17972*r - 17384.
4*(r - 106)*(r - 41)*(r - 1)
Find h, given that -4*h**2 + 2078752*h - 270075617344 = 0.
259844
Solve -35*p**4 + 678170*p**3 - 193760*p**2 = 0.
0, 2/7, 19376
Let -27*d**3/4 - 250*d**2 - 1927*d/4 - 35/2 = 0. Calculate d.
-35, -2, -1/27
Determine t, given that -2*t**2 - 22456*t - 44904 = 0.
-11226, -2
Suppose -2*r**3/7 + 502*r**2/7 - 1480*r/7 - 1984/7 = 0. What is r?
-1, 4, 248
Factor 2*b**4 - 198*b**3 + 390*b**2 - 194*b.
2*b*(b - 97)*(b - 1)**2
Factor 4*g**2 - 423140*g.
4*g*(g - 105785)
Suppose j**5/2 - 95*j**4 - 191*j**3/2 = 0. What is j?
-1, 0, 191
Factor h**3/4 + 843521*h**2/4 + 177881497599*h/4 - 177882341121/4.
(h - 1)*(h + 421761)**2/4
Determine u so that u**3 - 21284*u**2 + 42565*u - 21282 = 0.
1, 21282
Factor 2*f**2/23 + 5522*f/23 - 11052/23.
2*(f - 2)*(f + 2763)/23
Factor -2*o**4 + 76*o**3 + 1126*o**2 - 35112*o - 426888.
-2*(o - 33)**2*(o + 14)**2
Let 9*s**4 + 151*s**3 - 1042*s**2 - 19180*s + 4312 = 0. Calculate s.
-14, 2/9, 11
Find g, given that 2*g**2/7 - 450*g/7 - 464 = 0.
-7, 232
Factor -4*n**2 - 112*n + 691440.
-4*(n - 402)*(n + 430)
Factor 3*u**3 + 4869*u**2 - 39123*u + 34251.
3*(u - 7)*(u - 1)*(u + 1631)
Factor -k**4/7 - 339819*k**3/7 - 339818*k**2/7.
-k**2*(k + 1)*(k + 339818)/7
Let -3*g**5/7 + 72*g**4/7 - 468*g**3/7 + 1002*g**2/7 - 873*g/7 + 270/7 = 0. Calculate g.
1, 6, 15
Factor 4*l**2 + 796240*l + 39624883600.
4*(l + 99530)**2
Let 48*o**2 - 200546*o + 8356 = 0. Calculate o.
1/24, 4178
Factor -49*z**4 + 225876*z**3 - 258947172*z**2 - 3131803008*z - 9419867136.
-(z + 6)**2*(7*z - 16176)**2
Factor -5*k**2 - 14321420*k - 10255153540820.
-5*(k + 1432142)**2
Factor -4*b**3 - 592*b**2 - 21572*b - 20984.
-4*(b + 1)*(b + 61)*(b + 86)
Find a, given that 10*a**5 + 1148*a**4/3 + 11606*a**3/3 + 32512*a**2/3 + 11464*a/3 - 3520 = 0.
-24, -10, -11/3, -1, 2/5
Factor -4*f**2/3 - 1269648*f - 302251133232.
-4*(f + 476118)**2/3
Factor z**4 - 56*z**3 - 237*z**2 - 180*z.
z*(z - 60)*(z + 1)*(z + 3)
What is r in -5*r**4/2 - 75*r**3/2 + 45*r**2 + 80*r = 0?
-16, -1, 0, 2
Let -4*t**5/3 - 146*t**4/3 - 812*t**3/3 - 922*t**2/3 + 388*t + 240 = 0. What is t?
-30, -4, -3, -1/2, 1
Determine v, given that -v**4/3 - 16583*v**3/3 + 16585*v**2 - 49757*v/3 + 16586/3 = 0.
-16586, 1
Solve 2*v**2/15 + 16276*v/15 - 5426/5 = 0.
-8139, 1
Solve 1665*j**5/7 + 34971*j**4/7 + 90036*j**3/7 - 6336*j**2/7 - 119904*j/7 - 432/7 = 0 for j.
-18, -2, -2/555, 1
Suppose 2*g**2/7 - 2652*g - 334800/7 = 0. What is g?
-18, 9300
Solve 2*v**5/11 + 1630*v**4/11 - 1638*v**3/11 - 4894*v**2/11 + 1636*v/11 + 3264/11 = 0 for v.
-816, -1, 1, 2
Solve -2*y**4 - 840*y**3 - 16038*y**2 - 15200*y = 0.
-400, -19, -1, 0
Factor 4*n**4/3 - 31672*n**3/3 + 63312*n**2 - 379808*n/3 + 253184/3.
4*(n - 7912)*(n - 2)**3/3
Factor 86*m**3 + 3100*m**2 + 144*m.
2*m*(m + 36)*(43*m + 2)
Determine p so that -231*p**2 - 246*p = 0.
-82/77, 0
Factor 4*i**4 - 3203*i**3 + 635967*i**2 + 2098440*i + 484812.
(i - 402)**2*(i + 3)*(4*i + 1)
Solve 3*l**3 - 5307*l**2 + 5304*l = 0 for l.
0, 1, 1768
Suppose 2*y**3 - 422578*y**2 = 0. Calculate y.
0, 211289
Solve 65554*s**5 - 390338*s**4 + 768744*s**3 - 488672*s**2 - 23744*s - 96 = 0 for s.
-3/73, -2/449, 2
Factor 3*y**4/5 + 522*y**3 + 572859*y**2/5 + 2249868*y/5.
3*y*(y + 4)*(y + 433)**2/5
Factor z**5 + 831*z**4 + 101564*z**3 - 63317360*z**2 - 13904659200*z + 28061762000.
(z - 277)*(z - 2)*(z + 370)**3
Factor o**3/6 + 2137*o**2/6 + 1140623*o/6 - 1142761/6.
(o - 1)*(o + 1069)**2/6
What is o in 2*o**4/7 + 2*o**3/7 - 170*o**2/7 - 914*o/7 - 1320/7 = 0?
-5, -4, -3, 11
Factor 2*m**5/17 - 852*m**4/17 - 1710*m**3/17 - 856*m**2/17.
2*m**2*(m - 428)*(m + 1)**2/17
Let 2*t**4 - 118*t**3 - 136*t**2 + 936*t + 1440 = 0. What is t?
-2, 3, 60
Factor -i**2 + 21377*i - 42750.
-(i - 21375)*(i - 2)
Suppose 35*i**5 + 3175*i**4 + 14280*i**3 + 7700*i**2 - 3440*i = 0. What is i?
-86, -4, -1, 0, 2/7
Suppose -2*z**4/9 + 413098*z**3/9 - 137698*z**2 + 1239278*z/9 - 413092/9 = 0. What is z?
1, 206546
Factor 2*k**2/3 - 16934*k.
2*k*(k - 25401)/3
Factor 3*d**4/4 - 257763*d**3/2 + 22149832203*d**2/4 - 55364914770*d + 138404232300.
3*(d - 85916)**2*(d - 5)**2/4
Find a, given that -a**3 - 90*a**2 + 376*a = 0.
-94, 0, 4
Let 2*i**4/3 - 2592*i**3 - 12972*i**2 - 54496*i/3 - 7786 = 0. Calculate i.
-3, -1, 3893
Find l such that -l**3 - 33848*l**2 + 4*l + 135392 = 0.
-33848, -2, 2
Solve z**3/5 - 27999*z**2/5 + 39194400*z + 39200000 = 0.
-1, 14000
Factor -2*f**3 - 2324*f**2 - 2318*f + 4644.
-2*(f - 1)*(f + 2)*(f + 1161)
What is t in 5*t**3 + 1800*t**2 + 10645*t + 8850 = 0?
-354, -5, -1
Factor -x**4/4 + 4831*x**3/2 + 94458*x**2 + 2458105*x/2 + 21313097/4.
-(x - 9701)*(x + 13)**3/4
Factor 4*g**2 - 115384*g + 832091716.
4*(g - 14423)**2
Find b such that 1682*b**2/3 - 39904*b + 710016 = 0.
1032/29
Find n, given that n**4/6 + 33*n**3 - 1249*n**2/6 - 853*n - 612 = 0.
-204, -2, -1, 9
Factor -5*m**2 - 7590*m + 7595.
-5*(m - 1)*(m + 1519)
Determine l, given that 2*l**2/3 - 19198*l = 0.
0, 28797
Solve 2*a**2/11 + 846*a - 9308/11 = 0 for a.
-4654, 1
Factor v**3/6 - 28*v**2/3 + 53*v/2.
v*(v - 53)*(v - 3)/6
Let -b**5/6 - 431*b**4/3 - 859*b**3/6 + 287*b**2 = 0. Calculate b.
-861, -2, 0, 1
Find q such that q**2 + 35364*q + 312653124 = 0.
-17682
Factor k**2/2 - 851693*k/2 + 425846.
(k - 851692)*(k - 1)/2
Factor -2*l**2 - 23*l/3 - 5.
-(l + 3)*(6*l + 5)/3
Determine w so that -2*w**3/5 - 168*w**2/5 - 1198*w/5 + 1368/5 = 0.
-76, -9, 1
Factor -3*s**3/7 - 3312*s**2/7 - 624375*s/7 - 4657338.
-3*(s + 111)**2*(s + 882)/7
Factor -w**3 - 3*w**2 + 438*w + 440.
-(w - 20)*(w + 1)*(w + 22)
Factor 2*v**2/9 - 970*v/9 + 1768.
2*(v - 468)*(v - 17)/9
Let 2*a**5/5 + 4*a**4/5 - 48*a**3/5 - 20*a**2 - 10*a = 0. Calculate a.
-5, -1, 0, 5
Factor 2*a**3/5 - 1481*a**2/10 + 3113*a/5 - 732/5.
(a - 366)*(a - 4)*(4*a - 1)/10
Suppose -2*f**2/7 + 4700*f/7 - 148352/7 = 0. Calculate f.
32, 2318
Facto