 for u.
-254, 1
Factor -h**2/3 + 122*h - 11163.
-(h - 183)**2/3
Determine a, given that 4*a**5 - 84*a**4 - 72*a**3 + 4968*a**2 + 21060*a + 24300 = 0.
-3, 15
Determine q, given that 2*q**5/3 - 55*q**4 + 241*q**3/3 + 54*q**2 = 0.
-1/2, 0, 2, 81
Determine r so that r**2 - 7*r - 98 = 0.
-7, 14
Solve 4*h**3 + 4352*h**2 + 1188084*h + 2358792 = 0 for h.
-543, -2
Solve 18*i**4/5 - 76*i**3/5 + 34*i**2/5 + 104*i/5 - 24/5 = 0.
-1, 2/9, 2, 3
Factor n**5/4 - 67*n**4/4 + 79*n**3 - 92*n**2 - 64*n + 124.
(n - 62)*(n - 2)**3*(n + 1)/4
Factor -c**4 + 7*c**3 + 9*c**2 - 7*c - 8.
-(c - 8)*(c - 1)*(c + 1)**2
Factor 3*n**4 + 15*n**3 + 18*n**2.
3*n**2*(n + 2)*(n + 3)
Suppose -g**2/5 + 889*g/5 + 3572/5 = 0. What is g?
-4, 893
Factor 3*g**4 + 1293*g**3 + 3861*g**2 + 3855*g + 1284.
3*(g + 1)**3*(g + 428)
Let -2*b**5/11 - 24*b**4/11 + 26*b**3/11 = 0. Calculate b.
-13, 0, 1
Suppose 6*t**4/5 + 12*t**3 - 864*t**2/5 - 13056*t/5 - 43008/5 = 0. What is t?
-8, 14
Solve -2*l**5/23 - 52*l**4/23 - 36*l**3/23 + 376*l**2/23 + 662*l/23 + 300/23 = 0.
-25, -2, -1, 3
Factor -4*d**4 + 4*d**3 + 4*d**2 - 4*d.
-4*d*(d - 1)**2*(d + 1)
Factor 3*s**2 + 1021*s + 340.
(s + 340)*(3*s + 1)
Factor 5*o**4 - 950*o**3 + 44165*o**2 + 91200*o + 46080.
5*(o - 96)**2*(o + 1)**2
Determine q, given that -3*q**3/2 - 12*q**2 - 15*q/2 + 75 = 0.
-5, 2
Let 4*i**2 - 220*i - 224 = 0. What is i?
-1, 56
Solve -2*d**5/3 - 26*d**4/9 + 16*d**3/9 + 104*d**2/9 + 32*d/9 = 0.
-4, -2, -1/3, 0, 2
Find j such that j**4 + 41*j**3 + 113*j**2 - 41*j - 114 = 0.
-38, -3, -1, 1
Solve 3*z**5 - 104*z**4 + 712*z**3 + 3270*z**2 + 3173*z + 722 = 0.
-2, -1, -1/3, 19
Factor 2*j**3 + 58*j**2 - 2*j - 58.
2*(j - 1)*(j + 1)*(j + 29)
Find h such that -9*h**2 + 24*h = 0.
0, 8/3
Factor -21*v**3 + 6*v**2 + 21*v - 6.
-3*(v - 1)*(v + 1)*(7*v - 2)
Solve -2*q**3/7 - 60*q**2/7 - 46*q + 1560/7 = 0.
-20, -13, 3
Let z**5/4 + 13*z**4 + 415*z**3/4 + 310*z**2 + 391*z + 172 = 0. Calculate z.
-43, -4, -2, -1
Find n, given that n**4 - 6*n**3 + 9*n**2 = 0.
0, 3
Let -3*s**2/7 + 5886*s/7 - 2887083/7 = 0. What is s?
981
Factor -3*c**2/4 - 9*c/4 + 30.
-3*(c - 5)*(c + 8)/4
Let w**2/2 + 2794*w + 3903218 = 0. What is w?
-2794
Let -3*p**5 + 24*p**4 + 39*p**3 - 96*p**2 - 108*p = 0. Calculate p.
-2, -1, 0, 2, 9
Suppose 4*v**5 + 188*v**4 + 1656*v**3 - 13840*v**2 - 416*v + 64896 = 0. Calculate v.
-26, -2, 3, 4
Let 2*r**2/9 + 46*r/3 = 0. What is r?
-69, 0
Factor -p**4/3 + p**3/3 + 7*p**2/3 - 13*p/3 + 2.
-(p - 2)*(p - 1)**2*(p + 3)/3
Factor 5*d**3/2 - 85*d**2/2 + 210*d - 270.
5*(d - 9)*(d - 6)*(d - 2)/2
Determine n, given that 4*n**5 + 4*n**4 = 0.
-1, 0
Factor -2*y**3 - 6*y**2 + 80*y + 168.
-2*(y - 6)*(y + 2)*(y + 7)
Factor 4*r**4 - 108*r**3 + 844*r**2 - 2340*r + 1600.
4*(r - 16)*(r - 5)**2*(r - 1)
Factor 3*j**2 + 33*j + 84.
3*(j + 4)*(j + 7)
Factor 3*h**3 + 189*h**2 + 3528*h + 20580.
3*(h + 14)**2*(h + 35)
Factor -2*r**3 + 1604*r**2.
-2*r**2*(r - 802)
Factor 2*h**2/11 + 214*h/11 + 212/11.
2*(h + 1)*(h + 106)/11
Factor 10*j**3/7 - 2*j**2 + 4*j/7.
2*j*(j - 1)*(5*j - 2)/7
Factor -98*h**5 - 69034*h**4 - 16196678*h**3 - 1262559590*h**2 + 725435600*h - 103823000.
-2*(h + 235)**3*(7*h - 2)**2
Suppose d**3/4 + 40*d**2 - d/4 - 40 = 0. What is d?
-160, -1, 1
Solve 2*z**5 - 2*z**4 - 86*z**3 + 386*z**2 - 588*z + 288 = 0 for z.
-8, 1, 2, 3
What is i in i**2/4 + 17*i/2 + 30 = 0?
-30, -4
Let 2*r**4 + 24*r**3 + 60*r**2 + 56*r + 18 = 0. Calculate r.
-9, -1
Let -u**2/5 + 16*u/5 - 28/5 = 0. What is u?
2, 14
Determine w, given that -4*w**4 - 92*w**3 + 196*w**2 - 100*w = 0.
-25, 0, 1
Factor 5*g**2 - 600*g - 605.
5*(g - 121)*(g + 1)
Suppose -s**5/6 + 5*s**4 + 11*s**3/2 - 31*s**2/3 = 0. Calculate s.
-2, 0, 1, 31
Suppose -4*p**3 + 18*p**2 - 6*p - 8 = 0. What is p?
-1/2, 1, 4
Factor -3*z**2 + 3348*z.
-3*z*(z - 1116)
Find z, given that -5*z**2 + 20*z + 25 = 0.
-1, 5
Suppose -3*d**5/2 - d**4/4 + 3*d**3/2 + d**2/4 = 0. Calculate d.
-1, -1/6, 0, 1
Find v, given that -3*v**2 + 26376*v - 57974448 = 0.
4396
What is q in 15*q**2 - 12380*q - 8260 = 0?
-2/3, 826
Suppose -25*a**3 - 110*a**2 - 41*a - 4 = 0. Calculate a.
-4, -1/5
Determine l, given that 2*l**2 - 1346*l/3 - 300 = 0.
-2/3, 225
Determine m, given that m**2 - 1508*m + 568516 = 0.
754
Determine u, given that -4*u**5/3 - 68*u**4/9 - 28*u**3/3 + 4*u**2 = 0.
-3, 0, 1/3
Find i such that 2*i**5 - 42*i**4 + 38*i**3 + 42*i**2 - 40*i = 0.
-1, 0, 1, 20
Let 16*f**5/5 - 256*f**4/5 + 1252*f**3/5 - 1852*f**2/5 + 1036*f/5 - 196/5 = 0. Calculate f.
1/2, 1, 7
Suppose 180*h**3/7 + 10616*h**2/7 - 244*h/7 - 472/7 = 0. Calculate h.
-59, -1/5, 2/9
Factor 2*s**2 - 392*s + 1158.
2*(s - 193)*(s - 3)
Suppose q**4/4 + q**3/2 - q**2 - q/2 + 3/4 = 0. What is q?
-3, -1, 1
What is m in 2*m**5 + 12*m**4 - 48*m**3 + 52*m**2 - 18*m = 0?
-9, 0, 1
Let -2*p**2 + 16*p + 210 = 0. Calculate p.
-7, 15
Suppose 4*i**4 - 204*i**3 = 0. What is i?
0, 51
Solve -4*d**3 - 248*d**2 = 0 for d.
-62, 0
Factor o**5/6 - 11*o**4/6 + 7*o**3 - 9*o**2 - 9*o/2 + 27/2.
(o - 3)**4*(o + 1)/6
Factor 80*u**5 + 5320*u**4 + 7845*u**3 + 2925*u**2.
5*u**2*(u + 65)*(4*u + 3)**2
Factor 10*b**2/9 - 68*b/9 - 26/3.
2*(b + 1)*(5*b - 39)/9
Factor 2*z**2/19 + 1132*z + 3043382.
2*(z + 5377)**2/19
Let -i**4/5 - 6*i**3/5 + 51*i**2/5 + 404*i/5 + 672/5 = 0. What is i?
-7, -4, -3, 8
Factor 2*p**3/11 - 12*p**2/11 + 16*p/11.
2*p*(p - 4)*(p - 2)/11
Determine t, given that 3*t**5/7 + 4*t**4 - 29*t**3/7 - 90*t**2/7 + 4*t/7 + 40/7 = 0.
-10, -1, 2/3, 2
Solve -2*g**4/9 - 62*g**3/9 - 106*g**2/3 - 50*g = 0 for g.
-25, -3, 0
Factor -5*m**3 - 55*m**2 - 175*m - 125.
-5*(m + 1)*(m + 5)**2
Find c such that 4*c**5 - 364*c**4 + 696*c**3 + 1432*c**2 - 700*c - 1068 = 0.
-1, 1, 3, 89
Factor c**2/3 + 47*c/3.
c*(c + 47)/3
Determine z so that -16*z**5/13 - 84*z**4/13 + 82*z**3/13 + 54*z**2/13 - 36*z/13 = 0.
-6, -3/4, 0, 1/2, 1
Factor 2*b**3 + 48*b**2 + 378*b + 980.
2*(b + 7)**2*(b + 10)
Factor -2*k**2 + 106*k - 1092.
-2*(k - 39)*(k - 14)
What is b in b**4 + 2*b**3 + b**2 = 0?
-1, 0
Find b, given that -2*b**4/9 + 40*b**3/9 - 46*b**2/3 + 164*b/9 - 64/9 = 0.
1, 2, 16
Factor 2*d**3/19 + 2916*d**2/19 + 5826*d/19 + 2912/19.
2*(d + 1)**2*(d + 1456)/19
Let -s**3 - 542*s**2 = 0. Calculate s.
-542, 0
Find w, given that 60*w**2 - 243*w + 12 = 0.
1/20, 4
Find y such that 2*y**5/7 - 6654*y**4/7 + 8300032*y**3/7 - 4599136256*y**2/7 + 953740689408*y/7 + 958348132352/7 = 0.
-1, 832
Find j, given that -10*j**4 - 54*j**3 - 60*j**2 - 16*j = 0.
-4, -1, -2/5, 0
What is b in -6*b**5 - 748*b**4 - 68396*b**3/3 + 98032*b**2/3 + 29274*b + 5292 = 0?
-63, -1/3, 2
Determine f, given that -9*f**3 + 39*f**2 - 55*f + 25 = 0.
1, 5/3
Factor -25*n**2 + 1540*n + 620.
-5*(n - 62)*(5*n + 2)
Find x such that 7*x**4/2 - 73*x**3/2 - 47*x**2/2 + 33*x/2 = 0.
-1, 0, 3/7, 11
Determine i, given that -5*i**4 - 100*i**3 + 585*i**2 - 980*i + 500 = 0.
-25, 1, 2
Factor h**2 - 353*h/3 - 476/3.
(h - 119)*(3*h + 4)/3
What is p in -8*p**5 + 154*p**4 - 182*p**3 + 36*p**2 = 0?
0, 1/4, 1, 18
Factor -2*k**4/15 - 2*k**3/3 - 4*k**2/5.
-2*k**2*(k + 2)*(k + 3)/15
Find q such that 3*q**2/5 - 1002*q/5 = 0.
0, 334
Let 4*r**4 - 40*r**3 + 68*r**2 - 32*r = 0. What is r?
0, 1, 8
Factor h**2/7 + h/7 - 2/7.
(h - 1)*(h + 2)/7
What is c in 5*c**4 + 75*c**3 - 20*c**2 - 300*c = 0?
-15, -2, 0, 2
Solve -2*z**5/7 - 74*z**4/7 - 950*z**3/7 - 4694*z**2/7 - 728*z + 10816/7 = 0 for z.
-13, -8, -4, 1
Factor 2*q**3 - 72*q**2 + 768*q - 2048.
2*(q - 16)**2*(q - 4)
Find o such that -5*o**5 + 25*o**4 + 115*o**3 + 55*o**2 - 110*o - 80 = 0.
-2, -1, 1, 8
Factor 2*n**3/7 + 18*n**2/7.
2*n**2*(n + 9)/7
Solve -2*k**5/3 + 20*k**4 - 314*k**3/3 + 216*k**2 - 584*k/3 + 64 = 0 for k.
1, 2, 24
Factor -5*h**2 + 170*h - 1200.
-5*(h - 24)*(h - 10)
Factor 6*p**4 - 388*p**3 - 1576*p**2/3 - 176*p.
2*p*(p - 66)*(3*p + 2)**2/3
Factor -3*t**3/5 + 867*t**2/5 - 12441*t - 12615.
-3*(t - 145)**2*(t + 1)/5
Factor z**3 - 3272*z**2.
z**2*(z - 3272)
Solve -2*l**3/3 + 20*l**2/3 + 22*l/3 = 0 for l.
-1, 0, 11
Find u such that 2*u**2/7 + 120*u - 1688/7 = 0.
-422, 2
Factor 4*j**4/7 + 452*j**3/7 + 2568*j**2/7.
4*j**2*(j + 6)*(j + 107)/7
Factor 2*c**3 + 128*c**2 - 2722*c + 2592.
2*(c - 16)*(c - 1)*(c + 81)
Find s such that -147*s**3/4 + 16065*s**2/2 - 4581*s + 654 = 0.
2/7, 218
Find q, given that 5*q**5/6 - 15*q**4 + 115*q**3/6 + 365*q**2/3 - 20*q - 320/3 = 0.
-2, -1, 1, 4