5 = 0.
-2523, 1, 2
Let -5*m**2 - 230795*m = 0. Calculate m.
-46159, 0
Factor 4*i**3/5 - 464*i**2 - 23564*i/5 - 4248.
4*(i - 590)*(i + 1)*(i + 9)/5
Determine p, given that 5*p**2 + 30415*p - 91290 = 0.
-6086, 3
Suppose -3*p**3 + 5514*p**2 - 2505888*p - 25613280 = 0. Calculate p.
-10, 924
Solve -10*b**5/7 - 212*b**4/7 + 2466*b**3/7 - 5332*b**2/7 - 3200*b/7 + 4800/7 = 0 for b.
-30, -1, 4/5, 4, 5
Determine a so that 3*a**5 - 8742*a**4 + 6438060*a**3 - 101224350*a**2 + 321551937*a - 226756908 = 0.
1, 3, 12, 1449
Suppose p**2/5 - 2979*p/5 - 5962/5 = 0. Calculate p.
-2, 2981
Let -3*o**3 + 1599*o**2 - 10992*o - 28404 = 0. What is o?
-2, 9, 526
Let 2*z**2 - 3966*z + 304480 = 0. Calculate z.
80, 1903
Solve 7*g**5 - 351*g**4/2 + 1589*g**3 - 12239*g**2/2 + 8841*g - 3332 = 0 for g.
4/7, 2, 7, 17/2
What is f in -3*f**2/5 - 318*f/5 + 264 = 0?
-110, 4
Factor -a**2/3 + 49*a - 1584.
-(a - 99)*(a - 48)/3
What is g in 2*g**5/15 - 118*g**4/15 + 692*g**3/15 + 624*g**2/5 = 0?
-2, 0, 9, 52
Factor -2*p**3/9 - 27902*p**2/9 + 55810*p/9 - 9302/3.
-2*(p - 1)**2*(p + 13953)/9
Factor -4*v**3 + 628*v**2 + 1368*v - 15264.
-4*(v - 159)*(v - 4)*(v + 6)
Find j such that -j**4/4 - 45*j**3/2 - 2661*j**2/4 - 6224*j + 6912 = 0.
-32, -27, 1
Solve -1105*g**4 - 2000*g**3 + 460*g**2 + 80*g = 0 for g.
-2, -2/17, 0, 4/13
Let -4*u**3 - 64*u**2 + 17292*u - 357192 = 0. Calculate u.
-82, 33
Factor r**4/2 - 486*r**3 + 116631*r**2 + 712962*r + 2152089/2.
(r - 489)**2*(r + 3)**2/2
Factor 5*r**2 + 236035*r + 1180050.
5*(r + 5)*(r + 47202)
Solve 3*k**5 + 3*k**4 - 90*k**3 + 60*k**2 + 312*k - 288 = 0.
-6, -2, 1, 2, 4
Suppose s**5 + 23*s**4 - 329*s**3 + 1449*s**2 - 2700*s + 1836 = 0. Calculate s.
-34, 2, 3
Let 2*x**2 + 368*x + 5678 = 0. Calculate x.
-167, -17
Determine h, given that -4*h**2 - 10304*h - 30876 = 0.
-2573, -3
What is v in -4*v**5 - 44*v**4 + 2612*v**3 + 63004*v**2 + 498368*v + 1341184 = 0?
-13, -8, 31
Factor -2*w**3/3 + 9860*w**2/3 - 11507456*w/3 - 536825856.
-2*(w - 2528)**2*(w + 126)/3
What is l in -2*l**2/5 - 11414*l/5 + 11416/5 = 0?
-5708, 1
Suppose -c**2 - 5959*c + 5960 = 0. Calculate c.
-5960, 1
What is r in -2*r**2 - 1010*r + 5100 = 0?
-510, 5
Solve -2*u**3/7 - 102*u**2 - 2688*u - 18424 = 0 for u.
-329, -14
Factor -21*v**2/8 + 789*v/8 + 585/4.
-3*(v - 39)*(7*v + 10)/8
Let d**4 - 25751*d**3 + 221029416*d**2 - 632291465536*d - 632512520704 = 0. Calculate d.
-1, 8584
Determine j so that -14*j**4/13 - 580*j**3/13 - 5146*j**2/13 + 3388*j/13 + 2352/13 = 0.
-28, -14, -3/7, 1
Factor -2*h**3 - 836*h**2 - 8208*h - 19584.
-2*(h + 4)*(h + 6)*(h + 408)
Let g**2/7 - 7626*g/7 = 0. What is g?
0, 7626
Find y, given that 8*y**3 - 612*y**2 + 1488*y - 592 = 0.
1/2, 2, 74
Factor -p**4/5 + 422*p**3/5 - 60841*p**2/5 + 688704*p - 13317120.
-(p - 160)**2*(p - 51)**2/5
Let -z**2 + 631405*z + 631406 = 0. Calculate z.
-1, 631406
Find m, given that 14204450*m**3 - 25274860*m**2 - 6095208*m - 345744 = 0.
-294/2665, 2
Let 4*k**4 - 7224*k**3 - 21780*k**2 + 130248*k = 0. Calculate k.
-6, 0, 3, 1809
Solve -5*l**5 + 635*l**4 + 4665*l**3 - 84915*l**2 - 646380*l = 0 for l.
-9, 0, 12, 133
Suppose -98*b**4 + 62958*b**3 - 26916*b**2 - 30808*b - 5136 = 0. Calculate b.
-2/7, 1, 642
Let -4*q**2/3 + 11224*q/3 + 283100/3 = 0. Calculate q.
-25, 2831
Factor 2*f**3 - 282*f**2 - 944*f + 11520.
2*(f - 144)*(f - 5)*(f + 8)
Factor -t**4 + 18879*t**3 + t**2 - 18879*t.
-t*(t - 18879)*(t - 1)*(t + 1)
Suppose 3*c**5 - 3114*c**4 + 823437*c**3 - 7934970*c**2 + 2211228*c + 42799752 = 0. What is c?
-2, 3, 9, 514
What is c in -2*c**4 - 168*c**3 - 2204*c**2 + 4920*c - 2546 = 0?
-67, -19, 1
Suppose -2*c**5/7 - 22842*c**4/7 + 159962*c**3/7 - 342822*c**2/7 + 205704*c/7 = 0. Calculate c.
-11428, 0, 1, 3
Factor -4*p**3 + 148*p**2 - 640*p.
-4*p*(p - 32)*(p - 5)
Suppose 3*z**5 - 366*z**4 - 16206*z**3 + 2326932*z**2 - 4603797*z + 2293434 = 0. Calculate z.
-78, 1, 99
Solve 2*p**2/21 + 105776*p/21 + 1398570272/21 = 0.
-26444
Solve -3*j**5/2 - 59*j**4/2 - 421*j**3/2 - 1413*j**2/2 - 1134*j - 702 = 0.
-26/3, -3, -2
Factor r**4/6 + 131*r**3/6 + 335*r**2/2 + 867*r/2 + 369.
(r + 2)*(r + 3)**2*(r + 123)/6
Determine h, given that 2*h**5 + 474*h**4 - 7992*h**3 - 108864*h**2 = 0.
-252, -9, 0, 24
Factor -4*g**2 - 31640*g - 158100.
-4*(g + 5)*(g + 7905)
Determine u so that -25*u**2/8 + 1419*u/8 + 171/4 = 0.
-6/25, 57
Factor 2*c**2/5 - 644*c/5 + 47234/5.
2*(c - 209)*(c - 113)/5
Find q such that -q**4 + 81863*q**3 + 491205*q**2 + 736821*q = 0.
-3, 0, 81869
Find d, given that 5*d**5 - 1565*d**4 - 130*d**3 + 40690*d**2 + 125*d - 39125 = 0.
-5, -1, 1, 5, 313
Factor 4*y**3 - 32400*y**2 + 66981012*y - 5523280856.
4*(y - 4007)**2*(y - 86)
Factor -i**2/2 - 219*i + 4104.
-(i - 18)*(i + 456)/2
Factor -6*a**2/11 + 15390*a/11 - 92124/11.
-6*(a - 2559)*(a - 6)/11
Determine g so that 3*g**4 - 17592*g**3/5 - 361734*g**2/5 + 304152*g/5 + 75159/5 = 0.
-21, -1/5, 1, 1193
Determine c so that -16836695415033*c**5/5 + 5684551938*c**4/5 + 67346781020376*c**3/5 - 22738207728*c**2/5 + 2559024*c/5 - 96/5 = 0.
-2, 2/17771, 2
Suppose -5*y**2 + 504930*y - 504925 = 0. What is y?
1, 100985
Determine l so that 68*l**2 - 3424*l + 28160 = 0.
176/17, 40
Factor -3*w**2/2 - 577926*w - 55666410246.
-3*(w + 192642)**2/2
Determine s, given that -2*s**3 - 67920*s**2 = 0.
-33960, 0
Solve -100*c**4 + 2284*c**3 - 13132*c**2 + 20340*c + 3600 = 0.
-4/25, 3, 5, 15
Solve -4*r**3/5 + 808*r**2/5 - 39984*r/5 - 83232/5 = 0 for r.
-2, 102
Find n such that n**5/2 - 663*n**4/2 - 3021*n**3 - 2024*n**2 + 5376*n = 0.
-8, -2, 0, 1, 672
Factor c**5/8 + 2*c**4 + 71*c**3/8 + 7*c**2.
c**2*(c + 1)*(c + 7)*(c + 8)/8
Factor -2*o**3/5 + 19062*o**2/5 - 9089712*o + 136174176/5.
-2*(o - 4764)**2*(o - 3)/5
Solve 2*b**2 - 37632*b + 939550 = 0 for b.
25, 18791
Find q, given that -2*q**3/5 - 1134*q**2/5 - 22272*q + 2990080 = 0.
-320, 73
Determine w, given that -3*w**2/7 - 2034*w/7 - 22011/7 = 0.
-667, -11
Let -k**3/2 - 862*k**2 - 27102*k - 50760 = 0. What is k?
-1692, -30, -2
Factor 2*z**2/19 - 12580*z/19 - 851838/19.
2*(z - 6357)*(z + 67)/19
Factor 463*v**2 - 464*v + 1.
(v - 1)*(463*v - 1)
Find p such that p**5/4 - 237*p**4/8 + 6841*p**3/8 + 1335*p**2 + 450*p = 0.
-1, -1/2, 0, 60
Suppose -r**4/2 - 2979*r**3/2 - 1489*r**2 = 0. Calculate r.
-2978, -1, 0
Determine q, given that q**2/3 - 24*q - 243 = 0.
-9, 81
Factor -4*i**2 + 14228*i + 28472.
-4*(i - 3559)*(i + 2)
Let -55*s**5 + 740*s**4 + 3115*s**3 + 3340*s**2 + 1020*s = 0. What is s?
-2, -1, -6/11, 0, 17
Suppose -52*k**4/5 + 776*k**3/5 - 1136*k**2/5 - 3104*k/5 + 5376/5 = 0. What is k?
-2, 2, 168/13
Factor q**2/4 + 3389*q/4 - 1695/2.
(q - 1)*(q + 3390)/4
Factor 3*a**2/2 - 16683*a + 92774163/2.
3*(a - 5561)**2/2
Find z such that 4*z**5 + 61*z**4/2 - 24*z**3 - 199*z**2/2 - 25*z + 24 = 0.
-8, -1, 3/8, 2
Solve -9*a**5 + 1005*a**4 - 31668*a**3 + 202896*a**2 - 431808*a + 259584 = 0 for a.
1, 8/3, 4, 52
Factor -4*v**2 + 2136*v - 252032.
-4*(v - 358)*(v - 176)
Factor -5*i**3 + 1555*i**2 + 50630*i + 177320.
-5*(i - 341)*(i + 4)*(i + 26)
Let -o**5/9 + 9*o**4 - 308*o**3/9 - 16*o**2/9 + 416*o/3 - 1232/9 = 0. What is o?
-2, 2, 77
Factor 118161*i**2/4 - i/4.
i*(118161*i - 1)/4
Factor -m**4 + 59*m**3 - 609*m**2 + 2169*m - 2538.
-(m - 47)*(m - 6)*(m - 3)**2
Find w, given that -5*w**3 - 9080*w**2 + 1192485*w = 0.
-1939, 0, 123
Factor -178*x**3/3 + 1008*x**2 + 34*x/3.
-2*x*(x - 17)*(89*x + 1)/3
Find i such that i**3/3 + 151*i**2/3 + 910*i = 0.
-130, -21, 0
Factor 5*d**2 - 1305*d + 8890.
5*(d - 254)*(d - 7)
Solve 3*x**3 - 87885*x**2 + 351504*x - 351492 = 0.
2, 29291
Factor -2*b**2/5 - 7116*b - 31648410.
-2*(b + 8895)**2/5
Factor -4*w**4 + 52*w**3 - 184*w**2 + 48*w + 288.
-4*(w - 6)**2*(w - 2)*(w + 1)
Factor -5*s**4 + 1675*s**3 + 102820*s**2.
-5*s**2*(s - 388)*(s + 53)
Solve -3*h**3/4 + 99159*h**2 - 793236*h + 1586448 = 0.
4, 132204
Suppose 82*c**2/17 - 78964*c/17 - 1926/17 = 0. Calculate c.
-1/41, 963
What is f in f**3 - 12476*f**2 + 12469*f + 74850 = 0?
-2, 3, 12475
Factor -c**2/6 - 1039*c/3 - 76076/3.
-(c + 76)*(c + 2002)/6
Determine d, given that -2*d**2 - 154*d + 13780 = 0.
-130, 53
Let 5*l**2 - 203645*l + 203640 = 0. Calculate l.
1, 40728
Factor -2*o**3/9 + 46*o**2/3 + 880*o - 60984.
-2*(o - 66)**2*(o + 63)/9
Factor 5*h**3 + 617*h**2 - 1644*h - 756.
(h - 3)*(h + 126)*(5*h + 2)
Factor 2*b**3/7 -