k**2/13 + 13432*k/13 + 26872/13 = 0.
-2, 6718
Factor -5*n**2 + 133100*n - 885780500.
-5*(n - 13310)**2
Solve -5*d**2 + 163275*d - 816250 = 0.
5, 32650
Factor 4*g**3 + 47504*g**2 + 142476*g.
4*g*(g + 3)*(g + 11873)
Factor 2*p**3 - 354*p**2 + 3700*p - 7968.
2*(p - 166)*(p - 8)*(p - 3)
Find y, given that -4*y**5/5 + 144*y**4/5 + 16768*y**3/5 - 1064448*y**2/5 + 18164736*y/5 - 56733696/5 = 0.
-76, 4, 36
Factor w**3 - 6149*w**2 - 36921*w - 55395.
(w - 6155)*(w + 3)**2
Factor 2*w**2/7 + 464*w/7 + 6912/7.
2*(w + 16)*(w + 216)/7
Solve 8*j**4 - 398*j**3 + 4372*j**2 - 2962*j - 1020 = 0.
-1/4, 1, 15, 34
Suppose w**2 - 267*w + 17690 = 0. What is w?
122, 145
Determine r so that 5*r**5 + 15*r**4 - 410*r**3 - 2060*r**2 - 3240*r - 1600 = 0.
-8, -2, -1, 10
Factor -s**4 + 12*s**3 + 1555*s**2 - 3150*s.
-s*(s - 45)*(s - 2)*(s + 35)
What is r in r**3/6 + 17*r**2/2 - 279*r - 1944 = 0?
-72, -6, 27
What is k in 6*k**4/13 + 526*k**3/13 + 346*k**2/13 - 174*k/13 = 0?
-87, -1, 0, 1/3
Factor 5*k**2 - 5160*k + 15435.
5*(k - 1029)*(k - 3)
Find c, given that c**4/3 - 270*c**3 + 155725*c**2/3 + 1120500*c + 17222500/3 = 0.
-10, 415
Determine f, given that 3*f**2/4 - 109824*f + 439293/4 = 0.
1, 146431
Solve 20*r**3 - 49408*r**2 + 118480*r - 39488 = 0 for r.
2/5, 2, 2468
Factor 15*v**2/2 + 787*v/6 + 187/3.
(v + 17)*(45*v + 22)/6
Factor 5*x**2 + 230*x - 2160.
5*(x - 8)*(x + 54)
Find n such that -345*n**2/2 - 1726*n - 10 = 0.
-10, -2/345
Factor -3*f**2/5 + 189744*f/5 + 189747/5.
-3*(f - 63249)*(f + 1)/5
Factor 44*p**3/13 + 262*p**2/13 + 384*p/13 - 18/13.
2*(p + 3)**2*(22*p - 1)/13
Solve -3603*b**2 + 7197*b + 18 = 0.
-3/1201, 2
Let p**3/2 - 31*p**2/4 - 275*p/4 - 121/2 = 0. What is p?
-11/2, -1, 22
Find i such that -3*i**4 - 189*i**3 - 16923*i**2/4 - 39501*i - 131043 = 0.
-22, -19/2
What is f in 19845*f**2 + 34650*f + 15125 = 0?
-55/63
Suppose 10*y**3 - 12078965*y**2 + 3647537906520*y - 1823765933520 = 0. What is y?
1/2, 603948
Factor 5*g**3 - 2455*g**2 + 16790*g + 72600.
5*(g - 484)*(g - 10)*(g + 3)
Suppose g**5 - 25*g**4 - 221*g**3 + 1133*g**2 - 1508*g + 620 = 0. Calculate g.
-10, 1, 2, 31
Factor -u**2/7 + 31342*u/7 - 245580241/7.
-(u - 15671)**2/7
Factor -x**3/6 - 175*x**2/6 + 75*x/2 + 13125/2.
-(x - 15)*(x + 15)*(x + 175)/6
Determine v, given that -5*v**2 + 156815*v = 0.
0, 31363
Find b, given that -5*b**4 - 2200*b**3 - 6510*b**2 + 19640*b - 10925 = 0.
-437, -5, 1
Let 3*n**3 - 39447*n**2 - 236763*n - 355185 = 0. Calculate n.
-3, 13155
What is m in -4*m**2/3 + 896*m/3 + 1808/3 = 0?
-2, 226
Factor -223*h**2/2 - 2659*h/2 + 102.
-(h + 12)*(223*h - 17)/2
Find n, given that -50*n**5 - 83910*n**4 + 1254612*n**3 + 3035164*n**2 + 2214750*n + 518058 = 0.
-1693, -1, -3/5, 17
Solve -2*s**5/7 + 305*s**4/7 - 21*s**3 - 761*s**2/7 + 149*s/7 + 456/7 = 0 for s.
-1, 1, 3/2, 152
Factor -v**4/4 + 47*v**3/4 + 489*v**2/4 + 833*v/4 + 98.
-(v - 56)*(v + 1)**2*(v + 7)/4
Factor y**2 - 289108*y + 20895858916.
(y - 144554)**2
Factor -5*k**4 - 715*k**3 - 430*k**2 + 39760*k.
-5*k*(k - 7)*(k + 8)*(k + 142)
Factor -3*z**3 - 47706*z**2 + 238593*z - 190884.
-3*(z - 4)*(z - 1)*(z + 15907)
Let -2*g**5/13 - 328*g**4/13 - 1564*g**3/13 + 4120*g**2/13 - 2226*g/13 = 0. What is g?
-159, -7, 0, 1
Factor r**4/2 + 51839*r**3/6 + 17279*r**2/3.
r**2*(r + 17279)*(3*r + 2)/6
Factor -q**4/2 - 49*q**3/2 + 601*q**2/2 + 649*q/2.
-q*(q - 11)*(q + 1)*(q + 59)/2
Solve -2*o**4 - 1260*o**3 - 7494*o**2 - 3724*o + 12480 = 0 for o.
-624, -5, -2, 1
Factor o**2/4 + 4199*o/4.
o*(o + 4199)/4
Factor -4*f**3 + 44*f**2 + 2440*f - 10208.
-4*(f - 29)*(f - 4)*(f + 22)
Determine i, given that -173*i**2/4 - 128713*i/4 - 186 = 0.
-744, -1/173
Let 4*a**2/7 - 136*a + 31680/7 = 0. Calculate a.
40, 198
Factor k**2 + 15082*k + 15081.
(k + 1)*(k + 15081)
Solve u**2/3 - 487*u - 16434 = 0 for u.
-33, 1494
Factor -5*n**3 - 425*n**2 - 6110*n - 22440.
-5*(n + 6)*(n + 11)*(n + 68)
Solve -20*a**5 + 492*a**4 - 3580*a**3 + 8788*a**2 - 2880*a - 2800 = 0.
-2/5, 1, 5, 14
Suppose 3*i**3/8 + 3309*i**2/8 + 52965*i/4 = 0. Calculate i.
-1070, -33, 0
Suppose 4*f**2 - 589*f + 21312 = 0. What is f?
64, 333/4
Factor -m**4 - 15144*m**3 - 15143*m**2.
-m**2*(m + 1)*(m + 15143)
Solve -2*i**5/3 + 38*i**4/3 + 134*i**3/3 - 38*i**2/3 - 44*i = 0 for i.
-3, -1, 0, 1, 22
What is d in -4*d**2 + 182656*d - 2085200896 = 0?
22832
Factor -2*y**3/15 - 224*y**2/15 - 6254*y/15.
-2*y*(y + 53)*(y + 59)/15
Factor 8*y**4 + 188*y**3 + 840*y**2 - 7600*y - 52000.
4*(y + 10)**3*(2*y - 13)
Find f, given that f**3/7 - 54*f**2/7 + 647*f/7 - 1482/7 = 0.
3, 13, 38
Suppose -2*t**5/15 - 4*t**4/5 + 272*t**3/15 - 44*t**2/5 - 762*t/5 + 144 = 0. What is t?
-15, -3, 1, 3, 8
Determine t, given that 6*t**3 + 43964*t**2 - 87970*t - 131928 = 0.
-21988/3, -1, 3
Find y such that 34*y**4 - 7416*y**3 + 838*y**2 + 7416*y - 872 = 0.
-1, 2/17, 1, 218
Factor 10*l**3 - 2635*l**2 + 133400*l + 5571625.
5*(l - 145)**2*(2*l + 53)
Solve -2*p**5 + 48*p**4 + 1204*p**3 - 1296*p**2 - 1202*p + 1248 = 0 for p.
-16, -1, 1, 39
What is w in -2*w**3/11 - 14606*w**2/11 - 26732510*w/11 - 239410962/11 = 0?
-3647, -9
What is k in 3*k**3/4 + 247*k**2/4 - 667*k = 0?
-92, 0, 29/3
Suppose -v**2 + 11394*v - 32455809 = 0. Calculate v.
5697
Suppose -636*u**5 - 9916*u**4 - 33380*u**3 - 12900*u**2 + 10496*u - 704 = 0. What is u?
-11, -4, -1, 4/53, 1/3
Factor -2*t**5 - 8708*t**4 + 8710*t**3.
-2*t**3*(t - 1)*(t + 4355)
Find w such that -w**2/8 - 3181*w/8 = 0.
-3181, 0
Let -3*g**4/5 - 429*g**3/5 - 1491*g**2/5 + 24981*g/5 + 52542/5 = 0. What is g?
-139, -9, -2, 7
Let 2*p**3/7 + 42*p**2 - 446*p + 2826/7 = 0. What is p?
-157, 1, 9
Factor -2*g**3 - 210*g**2 - 2752*g - 4680.
-2*(g + 2)*(g + 13)*(g + 90)
Find m such that -5*m**2 - 488550*m = 0.
-97710, 0
Determine f so that -2*f**5 + 3584*f**4 - 2149152*f**3 + 436180220*f**2 - 2961773150*f + 2527738500 = 0.
1, 6, 595
Factor -2*s**5 - 14*s**4 - 22*s**3 - 10*s**2.
-2*s**2*(s + 1)**2*(s + 5)
Factor 3*w**3/8 + 2679*w**2/8 - 8145*w/2.
3*w*(w - 12)*(w + 905)/8
Suppose -4*u**5/5 + 32494*u**4/5 - 87950386*u**3/5 + 79213657698*u**2/5 + 55700588790*u - 159043894632/5 = 0. What is u?
-4, 1/2, 2709
Factor 3*l**2/2 + 486*l + 20769/2.
3*(l + 23)*(l + 301)/2
Factor 4*b**2 + 5408*b + 21568.
4*(b + 4)*(b + 1348)
Let q**2/10 - 22347*q/10 - 6705 = 0. What is q?
-3, 22350
Solve 4*v**2 + 15796*v + 220360 = 0.
-3935, -14
Determine q, given that 4*q**3 + 23304*q**2 - 139932*q + 209952 = 0.
-5832, 3
Factor -2*m**2 - 664228*m - 55149854498.
-2*(m + 166057)**2
Let -4*o**4 - 28*o**3 + 388*o**2 + 652*o - 4368 = 0. Calculate o.
-13, -4, 3, 7
Factor d**4 + 1659*d**3 - 8352*d**2 - 53284*d - 59904.
(d - 9)*(d + 2)**2*(d + 1664)
Solve -5*y**2 - 34500*y + 138080 = 0.
-6904, 4
Suppose 4*u**3 + 96*u**2 - 2700*u + 13608 = 0. Calculate u.
-42, 9
Suppose -4*d**3/5 + 48*d**2 + 2880*d - 172800 = 0. What is d?
-60, 60
Factor 4*y**2 + 4240*y + 787200.
4*(y + 240)*(y + 820)
Factor -4*k**2 + 1109520*k - 76939664400.
-4*(k - 138690)**2
Factor 2*f**3 + 2866*f**2 - 225908*f + 440336.
2*(f - 73)*(f - 2)*(f + 1508)
What is q in -q**4/3 + 19*q**3/3 - 16*q**2 - 60*q = 0?
-2, 0, 6, 15
Find g, given that 5*g**5 + 42845*g**4 + 91763275*g**3 - 91806125*g**2 = 0.
-4285, 0, 1
Factor 4*m**3 - 1152*m**2 + 82944*m.
4*m*(m - 144)**2
Factor i**4/4 + 785*i**3/4 + 38612*i**2 + 38416*i.
i*(i + 1)*(i + 392)**2/4
Suppose s**4/5 + 527*s**3/5 - 528*s**2/5 = 0. Calculate s.
-528, 0, 1
Factor 20682*a**2 - 268869*a + 39.
3*(a - 13)*(6894*a - 1)
Factor 3*m**2/4 + 398013*m/2.
3*m*(m + 265342)/4
Let -2*l**4/3 - 102436*l**3 - 11805083162*l**2/3 - 7869748136*l - 11804468552/3 = 0. What is l?
-76826, -1
Let -a**2 + 168942*a - 7135349841 = 0. What is a?
84471
Let 2*m**5 + 822*m**4 + 126970*m**3 + 8777538*m**2 + 234400716*m + 434693952 = 0. Calculate m.
-112, -99, -2
Solve -49*b**3/5 - 53634*b**2/5 + 255348*b - 7517432/5 = 0.
-1118, 82/7
Factor -4*q**2/9 - 6916*q/3.
-4*q*(q + 5187)/9
Suppose 2*n**2/7 + 706*n - 89604/7 = 0. Calculate n.
-2489, 18
Factor -n**3/4 - 587*n**2/2 - 11649*n/4 - 2619.
-(n + 1)*(n + 9)*(n + 1164)/4
Let -r**2/4 - 61*r/2 - 60 = 0. What is r?
-120, -2
Factor 4*i**4 - 2348*i**3 + 16208*i**2 + 18560*i.
4*i*(i - 580)*(i - 8)*(i + 1)
Find l, given that 26*l**4 + 5429*l**3/2 - 6509*l**2/4 + 107*l/4 + 105/2 = 0.
-105, -2/13, 1/4, 1/2
Factor 2*g**3/3 + 24*g**2 + 562*g/3 - 476.
