in -39*f**4/7 - 222*f**3 - 501*f**2/7 + 4362*f - 4680/7 = 0?
-39, -5, 2/13, 4
Suppose -3*d**4 + 78807*d**3 - 78792*d**2 - 315228*d + 315216 = 0. What is d?
-2, 1, 2, 26268
Solve -r**2/5 - 366*r/5 = 0.
-366, 0
Let -r**2 + 21113*r - 42222 = 0. Calculate r.
2, 21111
Solve -q**4 - 2828*q**3 + 11324*q**2 - 11328*q = 0.
-2832, 0, 2
Let 2*s**3 - 3804*s**2/7 - 4910*s/7 - 156 = 0. Calculate s.
-1, -2/7, 273
Determine d so that 9*d**3 - 50844*d**2 - 33900*d = 0.
-2/3, 0, 5650
Factor -3*g**2 + 19938*g + 239688.
-3*(g - 6658)*(g + 12)
Suppose -364*l**3/5 - 1094*l**2/5 + 290*l + 8/5 = 0. What is l?
-4, -1/182, 1
Find r, given that -5*r**4 + 545*r**3 - 9640*r**2 - 21500*r = 0.
-2, 0, 25, 86
Let 2*k**3 + 718*k**2/7 - 144496*k/7 + 3775200/7 = 0. What is k?
-975/7, 44
Factor -5*k**4 - 995*k**3 - 2940*k**2.
-5*k**2*(k + 3)*(k + 196)
Factor 3*h**3/2 + 555*h**2/2 - 16719*h/2 - 55071/2.
3*(h - 29)*(h + 3)*(h + 211)/2
What is x in 3*x**2/8 - 36969*x/8 + 18483/4 = 0?
1, 12322
Find z such that 2*z**4/9 + 15322*z**3/9 + 9722836*z**2/3 - 678666248*z/9 + 649482416/9 = 0.
-3842, 1, 22
Find k, given that k**2/4 - 921*k/2 + 7304 = 0.
16, 1826
Find z such that z**3/3 - 1751*z**2 - 42097*z/3 + 15783 = 0.
-9, 1, 5261
Factor 2*m**2/15 - 5412*m.
2*m*(m - 40590)/15
Factor 2*o**2 + 398808*o + 1196406.
2*(o + 3)*(o + 199401)
Find z such that -44*z**5 - 434*z**4 + 3052*z**3 - 4896*z**2 + 2592*z - 270 = 0.
-15, 3/22, 1, 3
Factor 4*n**2 + 33744*n + 71166096.
4*(n + 4218)**2
Determine n so that 2*n**4/5 + 38*n**3/5 + 126*n**2/5 + 18*n = 0.
-15, -3, -1, 0
Suppose 10*i**5/19 + 22104*i**4/19 + 10796570*i**3/19 - 1567569508*i**2/19 + 49960324920*i/19 + 20235631504/19 = 0. What is i?
-1166, -2/5, 61
Factor 2*m**3 - 97682*m**2 - 2*m + 97682.
2*(m - 48841)*(m - 1)*(m + 1)
Suppose 5*o**5/4 + 505*o**4/4 - 2155*o**3/4 - 5805*o**2/4 - 1575*o/2 = 0. Calculate o.
-105, -1, 0, 6
Factor -4*x**2/7 + 984*x/7 - 8532/7.
-4*(x - 237)*(x - 9)/7
Factor 3*u**3/4 - 4215*u**2/4 + 1582149*u/4 - 70124337/4.
3*(u - 677)**2*(u - 51)/4
Find g, given that 2*g**2 + 96782*g + 580620 = 0.
-48385, -6
Let -o**3/5 - 125*o**2 + 1884*o/5 = 0. Calculate o.
-628, 0, 3
Suppose -33*c**2 - 63420*c + 11532 = 0. Calculate c.
-1922, 2/11
Factor 10*p**2 - 73148*p - 14630.
2*(p - 7315)*(5*p + 1)
Find n such that n**3/4 - 38021*n**2/4 + 38018*n - 38017 = 0.
2, 38017
Factor 8*j**2 + 185468*j + 92732.
4*(j + 23183)*(2*j + 1)
Let -p**4 + 16184*p**3 - 48543*p**2 - 4*p + 64724 = 0. What is p?
-1, 2, 16181
Find t such that 8*t**4/7 - 64468*t**3/7 + 18547212*t**2 + 194858560*t/7 + 64963600/7 = 0.
-1, -1/2, 4030
Solve -4*k**2 - 304436*k - 1522080 = 0.
-76104, -5
Let 3*d**4/7 + 66*d**3 - 40785*d**2/7 + 231912*d/7 - 341388/7 = 0. What is d?
-218, 3, 58
Determine h, given that 15*h**4 - 96*h**3 - 2724*h**2 + 6864*h - 2304 = 0.
-12, 2/5, 2, 16
Factor -i**2/3 + 153568*i/3 + 153569/3.
-(i - 153569)*(i + 1)/3
Determine i so that -36*i**5 - 141956*i**4 - 315260*i**3 + 78900*i**2 + 315296*i + 63056 = 0.
-3941, -2, -1, -2/9, 1
Let -p**4 + 187*p**3 + 1379*p**2 - 4047*p - 5238 = 0. What is p?
-9, -1, 3, 194
Factor 3*w**2 - 6903*w + 190932.
3*(w - 2273)*(w - 28)
Factor -5*r**3/4 + 6352*r**2 - 32273241*r/4 - 6456681/2.
-(r - 2541)**2*(5*r + 2)/4
Suppose -7*r**2 - 157985*r - 45138 = 0. What is r?
-22569, -2/7
Factor -d**2/7 - 101*d/7 - 1144/7.
-(d + 13)*(d + 88)/7
What is a in -215*a**4 + 3275*a**3 + 35370*a**2 + 70720*a - 18400 = 0?
-4, 10/43, 23
Factor 2*x**3 + 540*x**2 - 1086*x + 544.
2*(x - 1)**2*(x + 272)
Solve 5*v**2/4 + 59710*v + 716475/4 = 0.
-47765, -3
Factor 2*u**3/3 - 2434*u**2 - 9744*u - 29240/3.
2*(u - 3655)*(u + 2)**2/3
Factor 3*q**4/7 - 615*q**3 - 8619*q**2/7 - 4311*q/7.
3*q*(q - 1437)*(q + 1)**2/7
Factor -2*k**2/3 + 4102*k - 12304/3.
-2*(k - 6152)*(k - 1)/3
Factor -3*k**2/2 + 110964*k - 2052168216.
-3*(k - 36988)**2/2
Find l, given that -2*l**2/7 - 197926*l/7 + 197928/7 = 0.
-98964, 1
Solve 9261*t**4/8 - 261444645*t**3/8 - 37349487*t**2/4 - 1778551*t/2 - 28231 = 0 for t.
-2/21, 28231
Let -3*j**4 - 13137*j**3 + 13143*j**2 + 13137*j - 13140 = 0. Calculate j.
-4380, -1, 1
Suppose 3*j**3 + 129*j**2 - 555*j + 423 = 0. What is j?
-47, 1, 3
Factor 5*r**4 - 215*r**3 + 610*r**2 - 400*r.
5*r*(r - 40)*(r - 2)*(r - 1)
Let -2*b**4 - 134*b**3 - 1290*b**2 + 1702*b + 2860 = 0. Calculate b.
-55, -13, -1, 2
Solve -162*b**3 - 15750*b**2 - 494606*b - 4941258 = 0.
-343/9, -21
Factor 507*w**3/4 - 36231*w**2 + 872928*w - 5503680.
3*(w - 260)*(13*w - 168)**2/4
Factor -3*j**2/2 - 18630*j - 57846150.
-3*(j + 6210)**2/2
Determine i so that -4*i**5/7 + 132*i**4/7 + 228*i**3/7 - 3284*i**2/7 + 768*i - 2448/7 = 0.
-6, 1, 3, 34
Let -3*g**2/4 - 20739*g/2 + 373545/4 = 0. Calculate g.
-13835, 9
Factor 3*y**5 + 162*y**4 + 2202*y**3 + 12480*y**2 + 31275*y + 27750.
3*(y + 2)*(y + 5)**3*(y + 37)
Factor -15842*j**3/5 - 1308122*j**2/5 - 405664*j - 158760.
-2*(j + 81)*(89*j + 70)**2/5
Factor -o**2 - 37352*o.
-o*(o + 37352)
What is r in -5*r**3 - 1240*r**2 - 96305*r - 2227890 = 0?
-103, -42
Factor -2*b**5/9 + 68*b**4/9 - 578*b**3/9.
-2*b**3*(b - 17)**2/9
Find d, given that d**2/4 - 1214537*d/2 + 1475100124369/4 = 0.
1214537
Factor -2*k**2/25 + 85154*k/25 - 85152/25.
-2*(k - 42576)*(k - 1)/25
Determine k so that -3*k**4/5 - 108*k**3/5 - 159*k**2/5 + 306*k = 0.
-34, -5, 0, 3
Factor y**5/5 + 151*y**4/5 + 24*y**3 - 4424*y**2/5 + 11344*y/5 - 1680.
(y - 2)**3*(y + 7)*(y + 150)/5
Factor -4*b**2 + 11904*b - 23792.
-4*(b - 2974)*(b - 2)
Determine q, given that 35*q**4 + 5415*q**3 + 224795*q**2 + 2790525*q - 815770 = 0.
-97, -29, 2/7
Factor 10*r**5 + 3597*r**4/4 - 135*r**3/2.
r**3*(r + 90)*(40*r - 3)/4
Solve -c**5/3 + 142*c**4/3 - 1375*c**3 - 64420*c**2/3 - 253484*c/3 - 94864 = 0.
-6, -4, -2, 77
Let 57*q**5 - 15795*q**4 - 46218*q**3 + 5040*q**2 = 0. Calculate q.
-3, 0, 2/19, 280
Find h such that 2*h**3 - 12966*h**2 + 21021126*h - 21008162 = 0.
1, 3241
Suppose -2*w**2/17 - 49600*w/17 + 49602/17 = 0. Calculate w.
-24801, 1
Determine v so that -44*v**2 + 3908*v + 712 = 0.
-2/11, 89
Suppose -17*j**5 + 308*j**4/3 + 2036*j**3 + 3626*j**2 + 4919*j/3 - 70 = 0. What is j?
-7, -1, 2/51, 15
Factor -2*g**2/5 - 482*g/5 + 492.
-2*(g - 5)*(g + 246)/5
Suppose 4*h**4 + 160*h**3 - 2344*h**2 - 5152*h - 2652 = 0. Calculate h.
-51, -1, 13
Solve -2*x**3/9 + 524*x**2/9 + 3200*x/9 + 4288/9 = 0 for x.
-4, -2, 268
Factor j**4 - 3245*j**3 + 3243*j**2 + 3245*j - 3244.
(j - 3244)*(j - 1)**2*(j + 1)
Factor -5*w**3 + 245*w**2 + 1605*w + 2475.
-5*(w - 55)*(w + 3)**2
What is n in -205*n**4 - 115*n**3 + 910*n**2 + 460*n - 360 = 0?
-2, -1, 18/41, 2
Suppose 3*n**3 - 183*n**2 - 10476*n = 0. Calculate n.
-36, 0, 97
Factor -k**2/4 - 11695*k - 46779/4.
-(k + 1)*(k + 46779)/4
Find a, given that 5*a**5/4 - 385*a**4/4 + 9445*a**3/4 - 61175*a**2/4 - 163485*a/2 + 94770 = 0.
-4, 1, 26, 27
Find w such that 2*w**2/5 + 2536*w/5 + 4032 = 0.
-1260, -8
Let 10*v**5 - 1645*v**4 - 850*v**3 + 4135*v**2 - 1650*v = 0. Calculate v.
-2, 0, 1/2, 1, 165
Suppose l**2/2 - 98932*l + 4893770312 = 0. Calculate l.
98932
Suppose -r**5/4 - 453*r**4 + 1813*r**3/4 = 0. Calculate r.
-1813, 0, 1
Determine s, given that 2*s**2 + 21124*s - 21126 = 0.
-10563, 1
Factor 661*y**4 - 1309*y**3 - 2009*y**2 - 39*y.
y*(y - 3)*(y + 1)*(661*y + 13)
Factor -5*f**3 - 1335*f**2 - 88440*f + 89780.
-5*(f - 1)*(f + 134)**2
Suppose 5*x**5/6 - 35*x**4 - 1025*x**3/6 + 2425*x**2/3 - 130*x - 3220/3 = 0. Calculate x.
-7, -1, 2, 46
Let 3*n**2/8 + 204087*n/4 + 13883834523/8 = 0. Calculate n.
-68029
Solve -2*u**3/15 - 11546*u**2/3 - 115454*u/15 - 19242/5 = 0 for u.
-28863, -1
Let -j**3 + 187*j**2 - 4056*j + 23472 = 0. Calculate j.
12, 163
Find j such that 3*j**2 + 966*j + 61335 = 0.
-235, -87
Solve -5*n**2 + 6649350*n - 2210692771125 = 0 for n.
664935
Determine d, given that 4*d**5 - 1538*d**4 - 8558*d**3 - 8610*d**2 + 11682*d + 7020 = 0.
-3, -1/2, 1, 390
Factor 21*y**2/2 - 3288*y + 12984.
3*(y - 4)*(7*y - 2164)/2
Solve 50*y**4/3 + 1340*y**3/3 - 558*y**2 + 172*y/3 + 112/3 = 0.
-28, -1/5, 2/5, 1
Suppose -9*a**3/2 - 77811*a**2 + 207522*a - 103764 = 0. What is a?
-17294, 2/3, 2
Suppose -5*g**4/4 + 9445*g**3/2 - 168930*g**2 + 2022840*g - 8082720 = 0. Calculate g.
12, 3742
Let 2*w**5/7 + 1634*w**4/7 - 2*w**3 - 11426*w**2/7 + 9804*w/7 = 0. Calculate w.
-817, -3, 0, 1, 2
Determine h, given that