2, 2
Factor k**2 + 170848*k + 7297259776.
(k + 85424)**2
Determine l so that l**2 - 12596*l + 39664804 = 0.
6298
Determine w, given that -3*w**2/4 - 3195*w/4 - 3183 = 0.
-1061, -4
Determine j so that 6*j**5 + 40*j**4 + 22*j**3 - 12*j**2 = 0.
-6, -1, 0, 1/3
Let f**3 + 1212*f**2 + 218789*f - 220002 = 0. Calculate f.
-991, -222, 1
Suppose 4*o**5 - 2960*o**4/9 + 14768*o**3/9 - 22648*o**2/9 + 12652*o/9 - 616/3 = 0. What is o?
2/9, 1, 3, 77
Factor -5*l**3/3 + 830*l**2/3 - 6400*l/3 + 12640/3.
-5*(l - 158)*(l - 4)**2/3
Factor -o**2 - 69094*o - 1193495209.
-(o + 34547)**2
Solve -2*g**4/9 + 460*g**3/3 + 8*g**2/3 - 16528*g/9 - 7360/3 = 0 for g.
-2, 4, 690
Factor -3*s**3/5 - 180*s**2 - 40716*s/5 + 4359744/5.
-3*(s - 48)*(s + 174)**2/5
Factor -2*y**3/15 - 6122*y**2/3 - 61214*y/15 - 10202/5.
-2*(y + 1)**2*(y + 15303)/15
Factor -g**4/5 - 106977*g**3/5 - 64185*g**2 - 320923*g/5 - 106974/5.
-(g + 1)**3*(g + 106974)/5
What is n in -4*n**2/5 - 12956*n + 64784/5 = 0?
-16196, 1
Suppose c**4 + 2237*c**3 + 1261056*c**2 + 11186788*c + 9927968 = 0. What is c?
-1114, -8, -1
Suppose 2*k**5/5 - 246*k**4 - 15006*k**3/5 - 5306*k**2 + 122892*k/5 = 0. Calculate k.
-7, 0, 2, 627
Find b, given that b**5 - 49*b**4 + 843*b**3 - 5863*b**2 + 12844*b = 0.
0, 4, 13, 19
Factor -4*q**3 + 5868*q**2 + 47136*q + 94400.
-4*(q - 1475)*(q + 4)**2
Factor -2*d**2/19 + 368*d/19 + 3474/19.
-2*(d - 193)*(d + 9)/19
Factor 4*t**3/7 - 856*t**2/7 + 31460*t/7 + 234256.
4*(t - 121)**2*(t + 28)/7
Suppose -56*x**4/3 - 283*x**3/3 + 163*x**2 + 849*x + 45 = 0. What is x?
-5, -3, -3/56, 3
Determine l so that 2*l**3/3 + 50*l**2 - 4952*l/3 + 1600 = 0.
-100, 1, 24
Factor -3*o**3 - 8784*o**2 - 8781*o.
-3*o*(o + 1)*(o + 2927)
Find n such that -2*n**3 + 39862*n**2 - 198522688*n - 993610240 = 0.
-5, 9968
Factor -2*n**2/11 + 216*n.
-2*n*(n - 1188)/11
Factor 3*w**5/2 + 4*w**4 - 52*w**3 - 279*w**2 - 891*w/2 - 189.
(w - 7)*(w + 3)**3*(3*w + 2)/2
Let v**2/5 + 179958*v/5 = 0. Calculate v.
-179958, 0
Factor -5*w**2 - 1778020*w - 158067756020.
-5*(w + 177802)**2
Suppose -4*r**2 - 21548*r + 280800 = 0. What is r?
-5400, 13
Factor 2*h**3/11 + 106*h**2/11 + 300*h/11.
2*h*(h + 3)*(h + 50)/11
Suppose g**5 + 417*g**4 + 43678*g**3 + 42432*g**2 - 86528*g = 0. What is g?
-208, -2, 0, 1
Factor 3*b**2 - 329202*b + 9031163067.
3*(b - 54867)**2
Suppose -104*i**5/7 - 984*i**4/7 - 1626*i**3/7 - 716*i**2/7 + 30*i/7 = 0. What is i?
-15/2, -1, 0, 1/26
Find h, given that -27*h**2 + 2014071*h - 447570 = 0.
2/9, 74595
Suppose 2*r**2/7 + 876*r/7 + 874/7 = 0. What is r?
-437, -1
Determine b so that 4*b**5 + 369416*b**4 + 8530000116*b**3 + 34115567600*b**2 + 34114090000*b = 0.
-46175, -2, 0
Factor y**3/5 + 2242*y**2/5 + 259205*y + 43797924/5.
(y + 36)*(y + 1103)**2/5
Suppose -5*p**3/3 - 116405*p**2/3 - 225621840*p + 2486537460 = 0. Calculate p.
-11646, 11
Determine s so that -3*s**2 + 2964*s - 32241 = 0.
11, 977
Factor 116*m**3/3 - 272396*m**2/3 + 159945760*m/3 - 38591728/3.
4*(m - 1174)**2*(29*m - 7)/3
Let 4*g**2 - 5978824*g + 2234146026436 = 0. Calculate g.
747353
Factor -y**2/9 - 23242*y/9 + 23243/9.
-(y - 1)*(y + 23243)/9
Suppose -58*u**4/9 + 64*u**3/9 + 980*u**2/9 + 256*u/3 - 10 = 0. What is u?
-3, -1, 3/29, 5
Find m, given that 2*m**5/5 + 296*m**4/5 + 11784*m**3/5 + 8512*m**2 - 250880*m = 0.
-70, -16, 0, 8
Let g**2 + 827*g - 4998 = 0. Calculate g.
-833, 6
Factor 2*u**4 - 262*u**3 - 1352*u**2 - 1088*u.
2*u*(u - 136)*(u + 1)*(u + 4)
Determine k, given that 5*k**4/4 - 7*k**3/4 - 231*k**2/4 + 495*k/4 + 189/2 = 0.
-7, -3/5, 3, 6
Factor 4*n**3 + 8124*n**2 + 80876*n + 72756.
4*(n + 1)*(n + 9)*(n + 2021)
Find a, given that -4*a**3 - 13944*a**2 - 83556*a - 125280 = 0.
-3480, -3
Find w, given that w**3/3 - 1339*w**2/3 + 1336*w/3 + 892 = 0.
-1, 2, 1338
Factor -j**4/3 + 184*j**3/3 + 187*j**2/3 - 370*j/3.
-j*(j - 185)*(j - 1)*(j + 2)/3
Solve -b**3/5 + 272*b**2/5 + 4291*b/5 + 4018/5 = 0.
-14, -1, 287
Factor -3*a**3 + 3549*a**2 - 7086*a.
-3*a*(a - 1181)*(a - 2)
Solve 4*y**2 + 2396*y = 0.
-599, 0
Find u such that -2*u**3/13 + 10414*u**2/13 - 103990*u/13 + 259850/13 = 0.
5, 5197
Find m, given that 3*m**3 - 234*m**2 + 537*m + 25974 = 0.
-9, 13, 74
Factor -2*d**3/5 + 428*d**2.
-2*d**2*(d - 1070)/5
Determine v so that 2*v**5/13 + 418*v**4/13 + 28422*v**3/13 + 569278*v**2/13 - 4678048*v/13 - 42949320/13 = 0.
-71, -6, 10
Solve 590247*q**3 - 523692*q**2 + 115728*q + 192 = 0 for q.
-4/2429, 4/9
Factor 18*f**3 - 128*f**2 - 646*f + 4620.
2*(f - 7)*(f + 6)*(9*f - 55)
Determine i so that -2*i**2/7 - 434*i + 255840/7 = 0.
-1599, 80
Factor -4*d**2 + 48636*d + 827968.
-4*(d - 12176)*(d + 17)
Factor -3*g**3 + 771*g**2 - 6012*g + 8964.
-3*(g - 249)*(g - 6)*(g - 2)
Factor y**3 + 7392*y**2 + 88596*y + 265680.
(y + 6)**2*(y + 7380)
What is j in 4*j**2 + 1472*j + 10108 = 0?
-361, -7
Determine z, given that z**5/7 - 41317*z**4/7 + 330494*z**3/7 - 908822*z**2/7 + 991425*z/7 - 371781/7 = 0.
1, 3, 41309
Factor 97111*k**2 - 97109*k - 2.
(k - 1)*(97111*k + 2)
Solve r**2/8 + 102789*r/2 + 10565578521/2 = 0 for r.
-205578
Find w, given that -w**4 - 420*w**3 - 419*w**2 = 0.
-419, -1, 0
Factor 2*o**2/5 + 1696*o/5 + 253752/5.
2*(o + 194)*(o + 654)/5
Let 3*b**3 - 1236*b**2 + 3681*b = 0. What is b?
0, 3, 409
What is z in -2*z**5/3 + 1240*z**4/3 + 4982*z**3/3 + 6236*z**2/3 + 832*z = 0?
-2, -1, 0, 624
Determine q, given that 2*q**2/13 - 664*q/13 + 54464/13 = 0.
148, 184
Find x such that 392*x**4 + 16876*x**3 + 860*x**2 = 0.
-43, -5/98, 0
Suppose 5*p**5/4 + 85*p**4/2 - 285*p**3 + 590*p**2 - 400*p = 0. What is p?
-40, 0, 2
Factor -2*p**3/3 + 28*p**2/3 + 1078*p/3 + 1936.
-2*(p - 33)*(p + 8)*(p + 11)/3
Factor -3*g**3 + 1866*g**2 + 91797*g + 258516.
-3*(g - 668)*(g + 3)*(g + 43)
Suppose u**3 + 92*u**2 = 0. What is u?
-92, 0
Factor 36*j**3 + 102036*j**2 + 136000*j + 45328.
4*(j + 2833)*(3*j + 2)**2
Let -3*r**3 + 105*r**2 + 3666*r + 19488 = 0. What is r?
-16, -7, 58
Find z, given that 7*z**4/3 - 48890*z**3/3 + 13940*z**2/3 + 195560*z/3 - 18624 = 0.
-2, 2/7, 2, 6984
Determine g, given that 5*g**2 + 2575490*g + 331657437005 = 0.
-257549
Factor 5*x**2 - 357585*x - 357590.
5*(x - 71518)*(x + 1)
Factor 5*x**3/4 + 19*x**2/4 - 716*x + 143.
(x - 22)*(x + 26)*(5*x - 1)/4
Factor 5*s**3 - 949*s**2 - 1145*s - 191.
(s - 191)*(s + 1)*(5*s + 1)
Factor g**5/2 + 291*g**4 + 87541*g**3/2 + 416130*g**2 + 1022450*g.
g*(g + 5)**2*(g + 286)**2/2
Let 3*f**4/4 + 63*f**3 - 5061*f**2/4 + 4545*f/2 = 0. What is f?
-101, 0, 2, 15
Let t**4 - 434*t**3 + 7988*t**2 - 42910*t + 68475 = 0. Calculate t.
3, 5, 11, 415
Solve -3*u**3/7 + 102*u**2/7 + 3021*u/7 = 0.
-19, 0, 53
Factor -2*n**2/3 - 6014*n/3 + 6016/3.
-2*(n - 1)*(n + 3008)/3
Solve -172*a**3 - 167*a**2/5 + a/5 = 0.
-1/5, 0, 1/172
Solve -2*w**5 + 222*w**4 + 4*w**3 - 444*w**2 - 2*w + 222 = 0.
-1, 1, 111
Factor r**5 + 2720*r**4 + 2465226*r**3 + 743674696*r**2 - 746142643*r.
r*(r - 1)*(r + 907)**3
Solve s**2/3 + 1380260*s/3 + 476279416900/3 = 0 for s.
-690130
Factor 2*o**2 + 16306*o.
2*o*(o + 8153)
Factor 3*j**3 - 3363*j**2 + 954141*j - 6515229.
3*(j - 557)**2*(j - 7)
Factor 2*i**3/7 - 304*i**2/7 + 370*i - 2288/7.
2*(i - 143)*(i - 8)*(i - 1)/7
Factor -3*h**2 - 2139276*h - 381375150348.
-3*(h + 356546)**2
Factor -3*f**2 + 26289*f.
-3*f*(f - 8763)
Suppose f**4/3 + 71*f**3/3 - 304*f**2/3 - 284*f/3 + 400 = 0. What is f?
-75, -2, 2, 4
Solve -u**3/3 + 1040*u**2/3 + 14707*u/3 + 51646/3 = 0.
-7, 1054
Solve -3*q**5/5 + 288*q**4/5 - 789*q**3 + 8244*q**2/5 + 2496*q = 0.
-1, 0, 4, 13, 80
Suppose 3*x**2 + 1401*x - 15774 = 0. Calculate x.
-478, 11
Solve -p**3/2 + 217*p**2 - 862*p + 860 = 0 for p.
2, 430
Find z, given that z**3/6 - 1739*z**2/6 - 1162*z = 0.
-4, 0, 1743
Factor -4*w**2/7 - 35440*w/7.
-4*w*(w + 8860)/7
Let 4*d**5 + 456*d**4 - 1868*d**3 + 2352*d**2 - 944*d = 0. Calculate d.
-118, 0, 1, 2
Determine b so that -4*b**2 + 1352*b + 9660 = 0.
-7, 345
Factor -h**3/4 + 333*h**2/4 - 8520*h + 247009.
-(h - 142)**2*(h - 49)/4
Let -j**2/4 + 329838*j - 108793106244 = 0. What is j?
659676
Determine s so that 2*s**5/3 - 471544*s**4/3 - 4*s**3/3 + 943088*s**2/3 + 2*s/3 - 471544/3 = 0.
-1, 1, 235772
Factor 4*l**3/7 + 22340*l**2/7 + 578812*l/7 + 3757884/7.
4*(l + 13)**2*(l + 5559)/7
Factor 2*v**3/9 - 7210*v**2/9 + 7209664*v/9 - 1245422024/9.
2*(v - 1694)**2*(v - 217)/9
Solve a**3/5 + 367*a**2/5 + 