 110118 = 0.
-2, 18353
Determine f, given that -3*f**4/2 - 665*f**3/2 - 36549*f**2/2 + 12257*f/2 = 0.
-119, -103, 0, 1/3
Determine f so that 2*f**3 - 12306*f**2 - 24618*f - 12310 = 0.
-1, 6155
Factor -2*h**3 + 69*h**2/4 + 351*h/2 - 6075/4.
-(h - 9)**2*(8*h + 75)/4
Determine n, given that 7*n**5 + 23003*n**4/4 - 10699*n**3/4 - 2672*n**2 - 411*n = 0.
-822, -2/7, -1/4, 0, 1
Let 65*f**5 + 339*f**4 + 534*f**3 + 148*f**2 - 168*f = 0. Calculate f.
-2, -21/13, 0, 2/5
Determine t, given that 5*t**2 + 248880*t + 3097062720 = 0.
-24888
Find q such that -q**3 - 69*q**2 + 520*q - 912 = 0.
-76, 3, 4
Factor 3*w**2/2 + 41*w + 140.
(w + 4)*(3*w + 70)/2
Suppose -245*h**4 + 61975*h**3 + 65250*h**2 - 121900*h - 5080 = 0. Calculate h.
-2, -2/49, 1, 254
Factor 105*s**2/2 - 1032890*s + 98370.
5*(s - 19674)*(21*s - 2)/2
Let -3*l**4/8 + 189*l**3/8 - 489*l**2/2 - 3186*l - 7224 = 0. Calculate l.
-4, 28, 43
Factor -4*c**2 + 12532*c + 37632.
-4*(c - 3136)*(c + 3)
Factor -a**3/4 + 23*a**2/4 - 30*a - 36.
-(a - 12)**2*(a + 1)/4
Let o**3/2 + 50*o**2 + 282*o = 0. Calculate o.
-94, -6, 0
Solve b**3/4 - 311*b**2 + 95465*b + 783752 = 0 for b.
-8, 626
Find r, given that 14*r**4 - 2306*r**3 - 32748*r**2 - 63992*r - 15664 = 0.
-11, -2, -2/7, 178
What is f in 5*f**5 - 9475*f**4 + 28395*f**3 - 28385*f**2 + 9460*f = 0?
0, 1, 1892
Suppose c**5/3 - 2*c**4 - 638*c**3/3 + 2396*c**2 + 9061*c/3 - 5202 = 0. Calculate c.
-27, -2, 1, 17
Let -m**4/4 - 17*m**3/2 + 87*m**2/4 + 126*m - 324 = 0. Calculate m.
-36, -4, 3
Determine g so that -5*g**5 + 1295*g**4 - 84495*g**3 + 83205*g**2 = 0.
0, 1, 129
Find v such that -2*v**5 - 4898*v**4 - 24398*v**3 + 102754*v**2 + 259120*v + 136864 = 0.
-2444, -7, -1, 4
Find p, given that -4*p**2/17 + 335670*p/17 + 167836/17 = 0.
-1/2, 83918
Let -2*k**2 + 173348*k - 3756191138 = 0. Calculate k.
43337
Suppose -2*v**2/3 - 20604*v - 61810/3 = 0. Calculate v.
-30905, -1
Find m such that -2*m**5/17 + 42*m**4/17 - 24*m**3/17 - 2072*m**2/17 - 4704*m/17 = 0.
-4, -3, 0, 14
Factor -2*u**3 + 71*u**2 - 514*u - 1760.
-(u - 22)*(u - 16)*(2*u + 5)
Let 51*c**2 + 424161*c - 49902 = 0. Calculate c.
-8317, 2/17
Factor 59*h**2/9 - 290*h/9 - 25/9.
(h - 5)*(59*h + 5)/9
Determine u so that 4*u**4/7 - 10840*u**3/7 + 7387332*u**2/7 - 8368480*u + 16687552 = 0.
4, 1351
Factor 5*h**2 + 631085*h + 631080.
5*(h + 1)*(h + 126216)
Find z, given that -z**5/4 - 23*z**4/2 - 357*z**3/4 - 227*z**2 - 185*z = 0.
-37, -5, -2, 0
Determine q so that -5*q**4 + 805*q**3 - 12765*q**2 - 15205*q + 27170 = 0.
-2, 1, 19, 143
Suppose 3*x**2 + 631368*x + 631365 = 0. Calculate x.
-210455, -1
What is q in -2*q**4/11 - 4266*q**3/11 + 2*q**2/11 + 4266*q/11 = 0?
-2133, -1, 0, 1
Factor -k**2/6 - 11735*k/3 - 93784.
-(k + 24)*(k + 23446)/6
Determine t, given that 5*t**2 + 2080*t + 179340 = 0.
-294, -122
Solve -b**5/3 - 136*b**4/3 - 87*b**3 + 958*b**2/3 + 2692*b/3 + 536 = 0.
-134, -2, -1, 3
Solve 3*r**2/5 + 36*r + 672/5 = 0 for r.
-56, -4
Determine k, given that -5*k**3 + 36100*k**2 - 65088240*k - 260930880 = 0.
-4, 3612
Let x**5/3 - 10*x**4/3 + 3*x**3 + 36*x**2 - 36*x = 0. Calculate x.
-3, 0, 1, 6
Let 2*c**3/9 + 464*c**2/9 - 35840*c/9 + 606208/9 = 0. What is c?
-296, 32
Find b, given that b**2/3 + 3242*b = 0.
-9726, 0
Solve -5*b**5/4 - 737*b**4/2 - 291*b**3 + 882*b**2 = 0.
-294, -2, 0, 6/5
Determine h so that -5*h**4 + 1178*h**3 + 2371*h**2 + 1188*h = 0.
-1, 0, 1188/5
Factor 3*o**2 - 8571*o + 25686.
3*(o - 2854)*(o - 3)
Factor 45050944*z**2 - 26848*z + 4.
4*(3356*z - 1)**2
Suppose 92*r**5/7 + 5340*r**4/7 + 77512*r**3/7 - 1976*r**2/7 - 77604*r/7 - 3364/7 = 0. Calculate r.
-29, -1, -1/23, 1
Suppose d**2/2 + 470210*d + 110548722050 = 0. What is d?
-470210
Factor 2*k**4/3 + 16*k**3 - 278*k**2/3 + 116*k.
2*k*(k - 3)*(k - 2)*(k + 29)/3
Suppose 4*k**4 - 664*k**3 - 1348*k**2 + 664*k + 1344 = 0. Calculate k.
-2, -1, 1, 168
Solve -2450*o**4 - 19670*o**3 - 74621*o**2/2 - 1054*o - 15/2 = 0 for o.
-5, -3, -1/70
Factor i**4/2 - 36*i**3 - 545*i**2/2 - 324*i + 632.
(i - 79)*(i - 1)*(i + 4)**2/2
Suppose -2*h**3/7 + 2960*h**2/7 - 2958*h/7 = 0. Calculate h.
0, 1, 1479
Suppose -3*b**2/2 - 528*b - 92901/2 = 0. Calculate b.
-179, -173
Find u such that -u**5 + 838*u**4 - 136321*u**3 - 17203160*u**2 - 33994000*u - 16928000 = 0.
-80, -1, 460
Suppose 8*s**5 - 276*s**4 - 4812*s**3 - 17408*s**2 - 21360*s - 6912 = 0. Calculate s.
-9, -2, -1/2, 48
Determine w, given that 2*w**4/11 + 26*w**3/11 - 278*w**2/11 - 2834*w/11 + 10140/11 = 0.
-13, 3, 10
Factor 5*s**2 - 1693580*s + 143410660820.
5*(s - 169358)**2
Factor q**3/3 + 60409*q**2 - 362458*q/3.
q*(q - 2)*(q + 181229)/3
Solve -4*o**5/3 - 331*o**4/3 - 7261*o**3/3 - 16084*o**2/3 + 30080*o/3 - 6400/3 = 0 for o.
-40, -4, 1/4, 1
Let -w**3/5 + 3458*w**2/5 + 6919*w/5 + 692 = 0. Calculate w.
-1, 3460
Determine a, given that 2*a**3/5 + 12438*a**2/5 + 18901728*a/5 - 1364093568/5 = 0.
-3144, 69
What is b in -b**2 - 9516*b - 19028 = 0?
-9514, -2
Factor -2928*y**3 - 3332*y**2 - 852*y.
-4*y*(4*y + 3)*(183*y + 71)
What is p in 2*p**3 + 480*p**2 - 1458*p = 0?
-243, 0, 3
Factor -b**2/4 - 2621*b - 6869641.
-(b + 5242)**2/4
Determine r, given that r**5/5 + 3086*r**4 + 59505791*r**3/5 - 119088742*r**2/5 - 59505792*r/5 + 119073312/5 = 0.
-7716, -1, 1, 2
Factor -4*d**2 - 92480*d + 92484.
-4*(d - 1)*(d + 23121)
Determine w so that 2*w**3 - 266*w**2 + 7632*w - 62856 = 0.
18, 97
Find j, given that 108*j**5 + 149796*j**4 + 149724*j**3 + 49900*j**2 + 5544*j = 0.
-1386, -1/3, 0
What is a in -a**2/7 + 1237*a/7 + 354 = 0?
-2, 1239
Factor 3*w**3/2 - 258*w**2 - 2673*w/2 + 1593.
3*(w - 177)*(w - 1)*(w + 6)/2
What is v in -4*v**4 + 32*v**3 + 340*v**2 + 64*v - 1680 = 0?
-5, -3, 2, 14
Suppose -4*n**2 + 146866*n - 220290 = 0. What is n?
3/2, 36715
Factor 3*r**2 + 3822*r + 316395.
3*(r + 89)*(r + 1185)
Factor -4*q**2/5 + 2*q + 24/5.
-2*(q - 4)*(2*q + 3)/5
Let 4*q**2 + 1688*q - 26220 = 0. What is q?
-437, 15
Factor 2*z**3/3 - 26*z**2/3 - 50*z/3 + 650/3.
2*(z - 13)*(z - 5)*(z + 5)/3
Factor f**3/5 + 57*f**2/5 - 249*f/5 - 61.
(f - 5)*(f + 1)*(f + 61)/5
Let -3*p**2/4 - 3657*p/2 - 223851/4 = 0. What is p?
-2407, -31
Factor a**3/4 + 165*a**2/4 + 317*a + 471.
(a + 2)*(a + 6)*(a + 157)/4
Solve a**2/3 - 1219*a/3 + 6020 = 0.
15, 1204
Solve 5*l**2 + 1965*l + 1960 = 0 for l.
-392, -1
Let -5*b**2 + 127200*b - 808992000 = 0. What is b?
12720
Factor -16*f**4 - 15068*f**3 - 3545688*f**2 + 887364*f.
-4*f*(f + 471)**2*(4*f - 1)
Factor 4*x**2 + 101256*x - 101260.
4*(x - 1)*(x + 25315)
Determine q, given that 12*q**5/7 + 13560*q**4/7 + 3857691*q**3/7 + 15231327*q**2/7 + 667155*q - 23772675/7 = 0.
-563, -5/2, 1
Factor -5*s**3/3 - 55*s**2/3 + 4685*s/3 - 4625/3.
-5*(s - 25)*(s - 1)*(s + 37)/3
Factor -60*t**2 + 4508*t - 600.
-4*(t - 75)*(15*t - 2)
Factor 4*x**3 + 24964*x**2 + 38887596*x - 195062580.
4*(x - 5)*(x + 3123)**2
Suppose -2200*p**3/17 + 14120*p**2/17 - 1254*p - 4356/17 = 0. Calculate p.
-2/11, 33/10
Solve -5*s**5 + 17700*s**4 + 88585*s**3 + 141780*s**2 + 70900*s = 0.
-2, -1, 0, 3545
Factor r**3/8 + 11*r**2/2 - 617*r/8 - 165/2.
(r - 12)*(r + 1)*(r + 55)/8
Let 4*t**5/3 + 1780*t**4/3 + 3492*t**3 - 26308*t**2/3 + 14048*t/3 = 0. What is t?
-439, -8, 0, 1
Factor 12*s**2 + 2517*s - 3165.
3*(s + 211)*(4*s - 5)
Factor -3*t**2 + 615654*t - 31585820643.
-3*(t - 102609)**2
Determine g so that -g**2/4 - 32691*g/2 - 1068701481/4 = 0.
-32691
Factor -4*z**2 + 370624*z + 741264.
-4*(z - 92658)*(z + 2)
Suppose 12*q**5 + 8308*q**4 - 31132*q**3 - 354164*q**2 - 414960*q - 100224 = 0. Calculate q.
-696, -4, -1, -1/3, 9
Find v such that 4*v**3 + 108*v**2 - 23664*v + 23552 = 0.
-92, 1, 64
Factor 6*b**2/7 + 277812*b/7 + 3215812806/7.
6*(b + 23151)**2/7
Suppose 12*z**3 + 957*z**2 + 16281*z - 21870 = 0. Calculate z.
-54, -27, 5/4
Factor 3*f**3 - 51*f**2 - 9714*f - 46920.
3*(f - 68)*(f + 5)*(f + 46)
Factor 4*a**5/11 + 2592*a**4/11 - 23571*a**3/11 + 53217*a**2/11.
a**2*(a + 657)*(2*a - 9)**2/11
Let -21*j**4 - 6903*j**3 - 752913*j**2 - 27187365*j + 7829442 = 0. Calculate j.
-123, -103, 2/7
Factor 4*y**2 - 33332*y - 33336.
4*(y - 8334)*(y + 1)
Solve -185*s**3 - 28310*s**2 + 27725*s + 770 = 0 for s.
-154, -1/37, 1
Solve -2*r**5/3 - 254*r**4/3 + 530*r**3/3 + 1790*r**2/3 - 696*r - 1032 = 0.
-129, -2, -1, 2, 3
Factor 5*p**3/2 - 2845*p**2/2 + 27895*p/2 + 30745/2.
5*(p - 559)*(p - 11)*(p 