, 5311
Solve 3*m**5/4 + 3*m**4/4 - 477*m**3/4 - 939*m**2/4 + 237*m/2 + 234 = 0.
-12, -2, -1, 1, 13
Factor -h**2/6 - 107*h - 4396/3.
-(h + 14)*(h + 628)/6
Let z**2 + 53355*z = 0. What is z?
-53355, 0
Factor -35*z**3 + 3820*z**2 - 7395*z - 11250.
-5*(z - 3)*(z + 1)*(7*z - 750)
Suppose -4*o**4/5 + 1264*o**3/5 - 107152*o**2/5 + 1152768*o/5 - 3326976/5 = 0. What is o?
6, 152
Solve 32*p**5/5 - 848*p**4/5 + 3858*p**3/5 + 24498*p**2/5 + 1782*p - 7290 = 0 for p.
-9/4, 1, 15
Solve r**4 - 1300*r**3 + 405262*r**2 + 11204700*r + 74287161 = 0 for r.
-13, 663
Suppose 3*b**3 + 21*b**2 - 18*b - 216 = 0. Calculate b.
-6, -4, 3
Factor -2*q**3/7 - 64*q**2/7 + 1938*q/7.
-2*q*(q - 19)*(q + 51)/7
Find d such that -d**2/4 + 369305*d/4 = 0.
0, 369305
Factor 75*i**2 - 2186110*i + 291480.
5*(i - 29148)*(15*i - 2)
Suppose 27291*c**3 + 34800*c**2 + 7527*c + 18 = 0. Calculate c.
-1, -3/11, -2/827
Suppose u**5 + 9*u**4 - 56*u**3 - 576*u**2 - 512*u = 0. What is u?
-8, -1, 0, 8
Factor j**3 - 10099*j**2.
j**2*(j - 10099)
Factor -2*w**3/5 - 20662*w**2/5 - 74286*w - 1670706/5.
-2*(w + 9)**2*(w + 10313)/5
Solve p**4/4 + 148*p**3 + 1767*p**2/4 = 0 for p.
-589, -3, 0
Solve -r**2/2 + 102891*r/2 + 102893 = 0.
-2, 102893
Factor c**3/10 + 342*c**2 + 13659*c/10 - 1708.
(c - 1)*(c + 5)*(c + 3416)/10
Find v such that -3*v**3/2 - 3375*v**2 - 2047122*v - 163853844 = 0.
-1078, -94
Factor -2*f**3 + 5402*f**2/3 - 405600*f + 135000.
-2*(f - 450)**2*(3*f - 1)/3
Solve -100478856256*o**2 - 1267936*o - 4 = 0.
-1/158492
Determine b, given that 4*b**5/7 + 4920*b**4/7 + 19632*b**3/7 + 19616*b**2/7 = 0.
-1226, -2, 0
Factor 6*r**2/7 - 18450*r/7 + 275400/7.
6*(r - 3060)*(r - 15)/7
Suppose -12*o**4 - 6060*o**3 + 49353*o**2 + 53892*o + 13851 = 0. Calculate o.
-513, -1/2, 9
Factor p**4/2 - 65*p**3/2 + 376*p**2 + 4696*p + 10560.
(p - 40)*(p - 33)*(p + 4)**2/2
Find y such that y**3/3 - 44540*y**2/3 + 496309028*y/3 - 7929546304/3 = 0.
16, 22262
Find z, given that 3*z**4 + 14670*z**3 + 18282699*z**2 + 852385680*z + 10128224448 = 0.
-2421, -24
Determine g so that -2*g**2/11 - 78*g - 85176/11 = 0.
-273, -156
Factor 3*p**2/4 - 120*p + 912.
3*(p - 152)*(p - 8)/4
Let -3*r**5 + 36*r**4 + 7104*r**3 - 230598*r**2 + 2053107*r - 3241134 = 0. What is r?
-57, 2, 13, 27
Factor -b**4 + 17*b**3 - 38*b**2 - 56*b.
-b*(b - 14)*(b - 4)*(b + 1)
Factor 2*a**4 + 684*a**3 - 22382*a**2 - 23064*a.
2*a*(a - 31)*(a + 1)*(a + 372)
Determine a, given that 18*a**3/5 - 235866*a**2/5 + 125776*a - 419232/5 = 0.
4/3, 13101
Solve 3*i**3/4 + 669*i**2/2 - 17352*i + 213408 = 0 for i.
-494, 24
Factor y**2/4 + 123*y/2 + 5525/4.
(y + 25)*(y + 221)/4
Solve -3*x**4/7 - 3126*x**3/7 - 415596*x**2/7 - 2092950*x + 15069375/7 = 0.
-893, -75, 1
Factor 121*u**5/2 + 14663*u**4/2 + 218400*u**3 - 225792*u**2.
u**2*(u - 1)*(11*u + 672)**2/2
Solve 2*b**3/3 - 5648*b**2/3 + 83370*b = 0.
0, 45, 2779
Factor -5*t**3 - 823*t**2 - 1300*t + 652.
-(t + 2)*(t + 163)*(5*t - 2)
Determine n so that 189*n**5 + 786*n**4 - 93*n**3 - 882*n**2 - 96*n + 96 = 0.
-4, -1, -4/9, 2/7, 1
Solve v**4/3 - 2234*v**3/3 + 1249921*v**2/3 - 831048*v + 415152 = 0 for v.
1, 1116
Determine q so that -9*q**4 + 4071*q**3 - 59865*q**2 - 192879*q + 70794 = 0.
-3, 1/3, 18, 437
Solve z**5/3 - 37*z**4/6 - 52*z**3/3 - 23*z**2/6 + 7*z = 0.
-2, -1, 0, 1/2, 21
Factor 4*j**5 - 128*j**4 + 1564*j**3 - 8864*j**2 + 21760*j - 14336.
4*(j - 8)**3*(j - 7)*(j - 1)
Determine o so that -15*o**3 + 27700*o**2 - 18460*o = 0.
0, 2/3, 1846
Let p**3/2 - 337*p**2/2 + 1931*p/2 + 18205/2 = 0. Calculate p.
-5, 11, 331
Determine k so that 4*k**3/5 + 844*k**2/5 - 8756*k/5 + 18564/5 = 0.
-221, 3, 7
Find p, given that 10*p**4 - 134395*p**3/2 + 113013480*p**2 - 422788990*p - 112761640 = 0.
-1/4, 4, 3358
What is p in 2*p**2 - 2247368*p + 631332865928 = 0?
561842
Determine s so that -s**3 + 6587*s**2 - 183652*s = 0.
0, 28, 6559
What is s in -s**2/6 + 124261*s/3 - 15440796121/6 = 0?
124261
Let -k**4 + 33*k**3 - 333*k**2 + 715*k + 3042 = 0. What is k?
-2, 9, 13
Factor -2*j**3/25 + 4856*j**2/25 + 4858*j/25.
-2*j*(j - 2429)*(j + 1)/25
Determine r so that -22*r**2 - 996*r - 2790 = 0.
-465/11, -3
Determine r, given that 14*r**3 + 926*r**2 + 7952*r = 0.
-56, -71/7, 0
Factor 4*c**4 - 1732*c**3 + 1720*c**2 + 3456*c.
4*c*(c - 432)*(c - 2)*(c + 1)
What is j in -5*j**4 + 382240*j**3 = 0?
0, 76448
Factor -3*h**2 - 849*h - 7398.
-3*(h + 9)*(h + 274)
Solve b**4/6 + 21*b**3/2 + 48*b**2 - 2792*b/3 + 2240 = 0 for b.
-56, -15, 4
Factor 2*d**2/7 + 340*d/7 - 688/7.
2*(d - 2)*(d + 172)/7
Suppose 14*j**4 + 1088*j**3 + 13968*j**2 + 20224*j - 6944 = 0. What is j?
-62, -14, -2, 2/7
Factor 4*h**2 + 31743*h - 7936.
(h + 7936)*(4*h - 1)
What is a in -5*a**5 + 32785*a**4 - 53132770*a**3 - 2000337550*a**2 - 17567289705*a + 19620727245 = 0?
-19, 1, 3297
Factor -10*m**3 + 6575*m**2 - 22905*m + 9810.
-5*(m - 654)*(m - 3)*(2*m - 1)
Factor -5*q**2 + 277400*q.
-5*q*(q - 55480)
Determine b, given that -128*b**2 - 1264*b - 740 = 0.
-37/4, -5/8
Factor -4*z**4 - 188*z**3 - 1440*z**2 - 2736*z.
-4*z*(z + 3)*(z + 6)*(z + 38)
Factor 4*n**4 - 16*n**3 - 1364*n**2 - 1344*n.
4*n*(n - 21)*(n + 1)*(n + 16)
Let -32*y**3/5 - 3824*y**2 - 2893906*y/5 - 11271752/5 = 0. Calculate y.
-1187/4, -4
Determine a, given that -10*a**2/13 + 5306*a/13 = 0.
0, 2653/5
Find w such that 2388966*w**5/7 + 5528822*w**4/7 + 1486852*w**3/7 - 29784*w**2/7 + 144*w/7 = 0.
-2, -1/3, 0, 6/631
Determine r so that 2*r**4/19 - 24*r**3/19 - 2286*r**2/19 - 22852*r/19 - 20592/19 = 0.
-18, -13, -1, 44
Let -n**4/2 - 165*n**3 - 17725*n**2/2 + 783750*n - 11281250 = 0. Calculate n.
-190, 25
Let 3*i**5 - 621*i**4/2 - 2871*i**3 + 1525701*i**2/2 - 4734504*i - 2558304 = 0. What is i?
-47, -1/2, 7, 72
Factor 2*l**2/7 + 541110*l/7.
2*l*(l + 270555)/7
Solve -2*j**3/17 + 240*j**2/17 - 206*j = 0 for j.
0, 17, 103
Solve -4*o**5/7 + 25764*o**4/7 - 18392*o**3 + 22064*o**2 + 103008*o/7 - 205952/7 = 0.
-1, 2, 6436
Factor 2*x**2/7 - 3082*x/7 - 2652.
2*(x - 1547)*(x + 6)/7
Suppose -4*t**2 + 6396*t + 12808 = 0. Calculate t.
-2, 1601
Determine i so that 2*i**2 + 4766*i + 155100 = 0.
-2350, -33
Factor 10*m**3 - 492*m**2 + 86*m + 588.
2*(m - 49)*(m + 1)*(5*m - 6)
Let 3*p**4/4 - 537*p**3 - 14259*p**2/2 + 15867*p - 32805/4 = 0. What is p?
-15, 1, 729
Factor 3*j**2 + 2604*j.
3*j*(j + 868)
Factor r**2 - 35107*r - 70218.
(r - 35109)*(r + 2)
Suppose -694*d**3/3 - 264410*d**2/9 + 508*d/9 = 0. What is d?
-127, 0, 2/1041
Solve -4*h**2 + 192*h + 1792 = 0.
-8, 56
What is u in u**2 - 4*u - 5 = 0?
-1, 5
Factor q**2 + 623*q/3 + 620/3.
(q + 1)*(3*q + 620)/3
Factor -y**4/4 + 53*y**3/4 + 27*y**2/4 - 1377*y/4 - 1431/2.
-(y - 53)*(y - 6)*(y + 3)**2/4
Find w such that -w**5/5 + 1481*w**4/5 - 543128*w**3/5 - 3862832*w**2/5 - 4452096*w/5 + 8856576/5 = 0.
-4, 1, 744
Find h such that -5*h**4 + 800*h**3 - 27745*h**2 + 26950*h = 0.
0, 1, 49, 110
What is i in 1228800*i**2 + 3840*i + 3 = 0?
-1/640
Factor t**3 - 437*t**2 + 14902*t - 40800.
(t - 400)*(t - 34)*(t - 3)
Let -5*z**2 - 9230*z = 0. Calculate z.
-1846, 0
Let b**2 - 132*b - 10773 = 0. What is b?
-57, 189
Solve -q**2/4 - 79*q/2 - 1057/4 = 0.
-151, -7
Determine y so that 15*y**5 + 1010*y**4 - 706840*y**3 + 45573150*y**2 + 15269625*y = 0.
-277, -1/3, 0, 105
Suppose 2*g**4/11 + 10346*g**3/11 - 82882*g**2/11 + 6594*g = 0. What is g?
-5181, 0, 1, 7
Find n such that -4*n**2/5 - 1952*n/5 - 46080 = 0.
-288, -200
Let -z**5/2 + 4619*z**4/2 + 4623*z**3/2 - 13859*z**2/2 - 2311*z + 4620 = 0. Calculate z.
-2, -1, 1, 4620
Find w, given that 95*w**4 - 615*w**3 + 1125*w**2 - 785*w + 180 = 0.
9/19, 1, 4
Determine w so that -w**3/4 + 6372*w**2 - 12743*w = 0.
0, 2, 25486
Suppose -3*j**3/8 + 39*j**2/8 + 765*j - 15984 = 0. What is j?
-48, 24, 37
Factor 2*l**3 - 2956*l**2 + 1146240*l - 39398400.
2*(l - 720)**2*(l - 38)
Suppose -6*l**3/11 - 720*l**2/11 - 13386*l/11 + 156240/11 = 0. What is l?
-93, -35, 8
Solve 20*m**5 + 715*m**4 + 6225*m**3 + 7975*m**2 - 7345*m - 7590 = 0.
-23, -11, -2, -3/4, 1
Factor 4*p**3 + 2456*p**2 + 67860*p.
4*p*(p + 29)*(p + 585)
Factor 16*i**4 + 116906*i**3 - 43842*i**2.
2*i**2*(i + 7307)*(8*i - 3)
Determine c so that 3*c**2 + 7209*c + 43146 = 0.
-2397, -6
Solve 44*f**5/9 - 236684*f**4/9 - 667304*f**3/9 - 344464*f**2/9 + 9568*f = 0.
-2, -1, 0, 2/11, 5382
Suppose -2*b**5/3 + 564*b**4 + 178982*b**3/3 - 60224*b**2 = 