14.
-(x - 3414)*(x - 1)
Factor 2*s**2 - 10416*s + 31230.
2*(s - 5205)*(s - 3)
Suppose -w**2 + 806*w - 805 = 0. Calculate w.
1, 805
Factor 3*c**3 - 3624*c**2 + 28773*c + 32400.
3*(c - 1200)*(c - 9)*(c + 1)
Determine g so that -187*g**3/4 - 8785*g**2/4 + 2291*g - 48 = 0.
-48, 4/187, 1
Factor -4*m**4 - 1576*m**3 - 135172*m**2 + 3952608*m - 25160256.
-4*(m - 12)**2*(m + 209)**2
Find f, given that 4*f**2 - 76216*f - 76220 = 0.
-1, 19055
Factor -a**3 + 8*a**2 + 395*a + 750.
-(a - 25)*(a + 2)*(a + 15)
Determine d so that -5*d**4 + 35*d**3 + 770*d**2 - 800*d = 0.
-10, 0, 1, 16
Factor -3*w**4 + 432*w**3 - 14127*w**2 - 108450*w + 270000.
-3*(w - 75)**2*(w - 2)*(w + 8)
Factor -o**2 + 1427*o + 101660.
-(o - 1495)*(o + 68)
Suppose -c**3/4 + 1625*c**2/2 + 588207*c/4 + 6479064 = 0. What is c?
-87, 3424
Suppose -20*v**5 - 765*v**4 + 216215*v**3 - 215430*v**2 = 0. Calculate v.
-501/4, 0, 1, 86
Factor -2*n**2/7 + 15774*n/7 - 157540/7.
-2*(n - 7877)*(n - 10)/7
Let -5*r**3 - 23430*r**2 - 70245*r = 0. What is r?
-4683, -3, 0
Factor -36*i**3 + 3804*i**2 - 9952*i + 6592.
-4*(i - 103)*(3*i - 4)**2
Let -358801*z**4 - 1437600*z**3 - 1085991*z**2 - 7204*z - 12 = 0. What is z?
-3, -1, -2/599
What is q in 12*q**5/5 - 20763*q**4 + 224804754*q**3/5 - 235659711*q**2 + 2018858292*q/5 - 224259948 = 0?
5/4, 2, 4323
Factor -u**2/3 + 2665*u - 7992.
-(u - 7992)*(u - 3)/3
Suppose -2*f**2/17 + 1034*f/17 + 1728 = 0. What is f?
-27, 544
Solve -3*q**4 + 19350*q**3 - 41602500*q**2 + 29815125000*q = 0.
0, 2150
Let -x**2 + 21792*x = 0. Calculate x.
0, 21792
What is p in p**5/5 - 57*p**4/5 - 666*p**3/5 - 62*p**2 + 2841*p/5 - 1809/5 = 0?
-9, -3, 1, 67
Factor -2*d**4 - 50*d**3 - 232*d**2 + 680*d.
-2*d*(d - 2)*(d + 10)*(d + 17)
Find v such that -2*v**4/7 + 180*v**3 - 25618*v**2/7 + 3480*v = 0.
0, 1, 20, 609
Let o**2/4 - 233*o/4 - 3799/2 = 0. Calculate o.
-29, 262
Suppose -4*s**2/9 + 3240*s + 38944 = 0. Calculate s.
-12, 7302
Factor -37831540293*g**4 + 227056858452*g**3 - 405740448*g**2 + 241712*g - 48.
-(g - 6)*(3357*g - 2)**3
Factor -126*w**3 + 122*w**2 + 5296*w + 168.
-2*(w - 7)*(w + 6)*(63*w + 2)
Find w, given that 51372*w**2 + 359596*w - 56 = 0.
-7, 2/12843
What is j in -2*j**4 - 48*j**3 + 38696*j**2 - 1839744*j + 3525120 = 0?
-170, 2, 72
Solve 3*t**2 + 4725*t - 18948 = 0 for t.
-1579, 4
Suppose -13*h**2/2 - 11945*h/2 - 11004 = 0. What is h?
-917, -24/13
Let 3*m**2 + 1836*m - 11124 = 0. What is m?
-618, 6
What is t in t**5 + 3705*t**4 + 3429901*t**3 - 3441021*t**2 - 6867218*t = 0?
-1853, -1, 0, 2
Suppose 2*b**2/7 - 1674*b/7 + 3340/7 = 0. What is b?
2, 835
Solve z**4/8 + 94533*z**3/2 + 8936677153*z**2/2 + 17872787112*z + 17872598048 = 0 for z.
-189064, -2
Factor -5*a**3/9 - 3749*a**2/9 + 250*a/3.
-a*(a + 750)*(5*a - 1)/9
Find g such that -g**4/6 + 425*g**3/3 - 2368*g**2 + 19543*g/3 + 54145/6 = 0.
-1, 5, 13, 833
Solve 4*c**5/5 + 1716*c**4/5 + 22968*c**3/5 - 112592*c**2/5 + 23904*c = 0.
-415, -18, 0, 2
Factor -c**2 + 752*c - 5952.
-(c - 744)*(c - 8)
What is m in -4*m**2 - 177000*m - 176996 = 0?
-44249, -1
Factor 152*r**3 + 201558*r**2 + 66822444*r + 2637414.
2*(r + 663)**2*(76*r + 3)
Determine n so that 4*n**3/3 - 4592*n**2/3 + 431548*n + 4469880 = 0.
-10, 579
Factor -h**3/8 + 2905*h**2/8 + 21893*h/4 + 5110.
-(h - 2920)*(h + 1)*(h + 14)/8
Find b, given that -5*b**4 - 990*b**3 - 51885*b**2 - 285120*b - 414720 = 0.
-96, -3
Factor 2*h**2/9 + 216*h - 93656/9.
2*(h - 46)*(h + 1018)/9
Factor -5*p**4 + 617710*p**3 - 1853100*p**2 + 1853090*p - 617695.
-5*(p - 123539)*(p - 1)**3
Solve 2*q**3/7 - 623272*q**2/7 - 1246550*q/7 - 623276/7 = 0 for q.
-1, 311638
Solve -3*u**3 + 348*u**2 - 13260*u + 166464 = 0 for u.
34, 48
Factor 5*l**3 - 300*l**2 - 30845*l - 89700.
5*(l - 115)*(l + 3)*(l + 52)
Let -2*y**2 - 4944*y - 78592 = 0. Calculate y.
-2456, -16
Factor 5*n**2/3 - 4656040*n/3 + 1083935424080/3.
5*(n - 465604)**2/3
Suppose -3*t**4 - 633*t**3/4 - 8145*t**2/4 - 1401*t + 480 = 0. Calculate t.
-32, -20, -1, 1/4
Factor -5*o**2 + 17390*o - 52125.
-5*(o - 3475)*(o - 3)
Let 10*x**3 - 4645*x**2 + 156035*x + 79180 = 0. Calculate x.
-1/2, 37, 428
Determine w, given that -4*w**3 + 54732*w**2 - 185654880*w - 10760893200 = 0.
-57, 6870
Determine g so that 10*g**4/13 - 24222*g**3/13 + 125686*g**2/13 - 4794*g/13 - 96680/13 = 0.
-4/5, 1, 5, 2417
Let 108*j**4 + 324*j**3 - 93*j**2 - 294*j - 45 = 0. Calculate j.
-3, -5/6, -1/6, 1
Factor -3*h**2/2 + 1197612*h - 239045750424.
-3*(h - 399204)**2/2
Let 2*n**3/7 + 7832*n**2/7 + 23470*n/7 - 4472 = 0. Calculate n.
-3913, -4, 1
Find v such that 2*v**3/9 - 428*v**2/9 + 16958*v/9 + 1932 = 0.
-1, 54, 161
Determine c, given that 36*c**4/5 + 221172*c**3/5 + 339664897*c**2/5 - 113240064*c/5 + 9437184/5 = 0.
-3072, 1/6
Determine b so that 4*b**4 + 140*b**3 - 868*b**2 - 2636*b + 3360 = 0.
-40, -3, 1, 7
Factor -5*d**4 - 2190*d**3 + 8825*d**2 - 6630*d.
-5*d*(d - 3)*(d - 1)*(d + 442)
Find o, given that 3*o**2/5 - 78366*o/5 = 0.
0, 26122
Suppose -4*z**2 - 1751036*z + 1751040 = 0. What is z?
-437760, 1
Let 2*o**2/9 + 182152*o/3 - 546458/9 = 0. Calculate o.
-273229, 1
Solve -3*k**3 - 14382*k**2 - 17251200*k - 34444896 = 0.
-2396, -2
Solve -4*h**3/7 + 200*h**2/7 + 250412*h/7 - 250608/7 = 0.
-227, 1, 276
Let -2*y**2/15 + 1346*y/15 - 268 = 0. What is y?
3, 670
Factor -s**5/5 + 8829*s**4/5 - 3894912*s**3 - 58503168*s**2/5.
-s**2*(s - 4416)**2*(s + 3)/5
Solve -o**4/2 + 69*o**3 - 269*o**2/2 - 204*o = 0 for o.
-1, 0, 3, 136
Let -2*a**2/11 + 45378*a/11 = 0. Calculate a.
0, 22689
Solve t**5/10 + 11*t**4/10 - 2*t**3 - 22*t**2 + 32*t/5 + 352/5 = 0.
-11, -4, -2, 2, 4
Factor -2*k**5 - 2180*k**4 - 13032*k**3 - 26032*k**2 - 17344*k.
-2*k*(k + 2)**3*(k + 1084)
Let y**3 - 705102*y**2 + 2820396*y - 2820392 = 0. What is y?
2, 705098
Factor a**2/6 + 683*a/6 - 4440.
(a - 37)*(a + 720)/6
Solve -b**2/3 - 91*b/3 + 268850/3 = 0.
-566, 475
What is g in g**2/2 + 4823*g/2 - 7239 = 0?
-4826, 3
Solve -4*c**4/3 - 728*c**3/3 + 8464*c**2 + 6807256*c/3 - 6831916/3 = 0 for c.
-137, 1, 91
Factor -3*m**3 + 11796*m**2 - 23583*m + 11790.
-3*(m - 3930)*(m - 1)**2
Let t**3/4 + 19*t**2/4 + 3*t/2 - 54 = 0. What is t?
-18, -4, 3
Factor 2*f**4/11 - 3726*f**3/11 - 44904*f**2/11 - 16352*f - 240000/11.
2*(f - 1875)*(f + 4)**3/11
Factor -15*f**3/2 + 481*f**2/2 - 1564*f + 2888.
-(f - 4)**2*(15*f - 361)/2
Suppose -4*h**5 + 200*h**4 - 1836*h**3 - 16376*h**2 - 33152*h - 18816 = 0. What is h?
-3, -2, -1, 28
Factor -4*i**2 - 17164*i + 103128.
-4*(i - 6)*(i + 4297)
Factor -2*m**2/9 + 1708*m/9 - 82832/3.
-2*(m - 668)*(m - 186)/9
Find i, given that 3*i**2/4 - 84579*i/4 + 21144 = 0.
1, 28192
Factor -7*u**2/3 + 2384*u + 2044/3.
-(u - 1022)*(7*u + 2)/3
Determine g, given that -3*g**2/7 - 2622*g/7 + 141525/7 = 0.
-925, 51
Determine s, given that s**3/5 - 59*s**2/5 + 311*s/5 + 371/5 = 0.
-1, 7, 53
Solve -5*t**5 - 380*t**4 + 1570*t**3 + 391280*t**2 - 785725*t + 393260 = 0 for t.
-53, 1, 28
Determine q, given that -3*q**2 - 141*q - 1386 = 0.
-33, -14
Factor 5*z**2 + 239120*z + 2858918720.
5*(z + 23912)**2
Factor 4*y**4 - 8456*y**3 - 16924*y**2 - 8464*y.
4*y*(y - 2116)*(y + 1)**2
What is j in -2*j**3/9 + 10414*j**2/9 - 13654816*j/9 + 255695768/9 = 0?
19, 2594
Solve 8*j**3/3 + 478*j**2/3 - 4628*j/3 - 9520/3 = 0 for j.
-68, -7/4, 10
Factor 4*q**3/5 + 14542*q**2/5 + 15972*q.
2*q*(q + 3630)*(2*q + 11)/5
Suppose 2*p**3 + 1571192*p**2 + 308578966410*p - 617164217604 = 0. Calculate p.
-392799, 2
Factor -o**3/3 - 22508*o**2/3 + 225155*o/3 - 187650.
-(o - 5)**2*(o + 22518)/3
Find i such that i**3/7 - 4381*i**2/7 = 0.
0, 4381
Factor -2*b**2/9 + 144*b - 430.
-2*(b - 645)*(b - 3)/9
Suppose d**4 - 1592702*d**3 + 634176507901*d**2 - 1268348237700*d + 634173322500 = 0. Calculate d.
1, 796350
Find m such that -4*m**2 + 28164*m + 253800 = 0.
-9, 7050
Suppose -q**5 + 904*q**4 - 900*q**3 - 2714*q**2 + 4517*q - 1806 = 0. What is q?
-2, 1, 903
Find j, given that 686*j**4 - 26166*j**3 - 22806*j**2 - 4906*j - 312 = 0.
-4/7, -1/7, 39
Let 25921*l**5 - 230391*l**4 + 625083*l**3 - 489193*l**2 + 71496*l - 2916 = 0. Calculate l.
2/23, 1, 27/7
Let 76*m**3 - 16808*m**2 - 228540*m + 36504 = 0. Calculate m.
-13, 3/19, 234
Solve 135*f**5 - 495*f**4 - 74535*f**3 - 98645*f**2 - 41000*f - 5460 = 0.
-21, -2/3, -1/3, 26
Solve 3*z**2 - 6174*z - 30945 = 0 for z.
-5, 2063
Factor -z**3/4 + 10721*