34)*(y + 1)*(y + 2)**2
Factor 5*x**3 - 606685*x**2 + 18406064240*x - 165605440320.
5*(x - 60664)**2*(x - 9)
Determine s so that -s**2/4 - 1931*s/2 - 3861/4 = 0.
-3861, -1
Let -r**4/12 - r**3/2 + 611*r**2/12 + 527*r - 3757/3 = 0. Calculate r.
-17, 2, 26
Solve -2*b**5 - 134*b**4 + 862*b**3 - 1034*b**2 - 860*b + 1168 = 0 for b.
-73, -1, 1, 2, 4
Let 44*q**3/3 + 5768*q**2/3 = 0. What is q?
-1442/11, 0
Find p, given that -4*p**5/9 - 466*p**4/9 + 1456*p**3/3 + 14668*p**2/9 - 10316*p/9 - 2750/3 = 0.
-125, -3, -1/2, 1, 11
Suppose 2*r**5 + 64*r**4 + 426*r**3 + 1052*r**2 + 1072*r + 384 = 0. What is r?
-24, -4, -2, -1
Factor -r**2/9 - 94003*r/3 + 282010/9.
-(r - 1)*(r + 282010)/9
Factor -g**3 - 128528*g**2 - 4130118740*g - 16518418576.
-(g + 4)*(g + 64262)**2
Solve -14*i**5/3 + 205*i**4/6 - 44*i**3 - 545*i**2/6 + 196*i/3 + 40 = 0 for i.
-5/4, -3/7, 1, 4
Factor 2*x**2/3 - 76*x/3 + 650/3.
2*(x - 25)*(x - 13)/3
Solve -3645*f**4 - 68985*f**3 - 60485*f**2 + 4765*f - 90 = 0 for f.
-18, -1, 1/27
Determine a so that -20*a**4 - 788*a**3 + 2484*a**2 - 2524*a + 848 = 0.
-212/5, 1
Find h, given that 5*h**4 + 300*h**3 - 112815*h**2 + 4713390*h = 0.
-198, 0, 69
Solve c**3/4 + 1621*c**2/4 - 1623*c/2 = 0 for c.
-1623, 0, 2
Factor -2*w**2 - 52488*w - 344373768.
-2*(w + 13122)**2
Suppose -2*w**5/19 - 62*w**4/19 - 446*w**3/19 + 574*w**2/19 + 448*w/19 - 512/19 = 0. Calculate w.
-16, -1, 1
Factor 4*j**2/7 + 230440*j + 23232384700.
4*(j + 201635)**2/7
What is d in -3249*d**4/7 + 22971*d**3/7 + 24392*d**2/7 - 1796*d/7 + 32/7 = 0?
-1, 2/57, 8
Factor 20*w**2 + 680325*w + 170080.
5*(w + 34016)*(4*w + 1)
Solve -2*q**3/5 - 1246*q**2/5 + 2800*q + 32968/5 = 0 for q.
-634, -2, 13
Suppose -2*a**2/11 + 744*a/11 + 13226/11 = 0. Calculate a.
-17, 389
Suppose -4*t**4 - 12*t**3 + 7596*t**2 + 45468*t + 68040 = 0. What is t?
-42, -3, 45
Solve 3*p**2/5 - 16806*p/5 + 16791 = 0 for p.
5, 5597
Factor -y**4 - 856*y**3 + 10476*y**2 + 52144*y + 55552.
-(y - 16)*(y + 2)**2*(y + 868)
Factor 4*n**2/3 + 7889212*n/9 - 1753160/3.
4*(n + 657435)*(3*n - 2)/9
Find o such that -5*o**4 - 44695*o**3 - 134055*o**2 - 134045*o - 44680 = 0.
-8936, -1
Factor 2*u**3/9 - 5456*u**2/9 + 10894*u/3 - 5444.
2*(u - 2722)*(u - 3)**2/9
Let -j**3/3 + 220*j**2/3 - 431*j + 642 = 0. What is j?
3, 214
Factor -5*d**4 - 15*d**3 + 3645*d**2 - 3625*d.
-5*d*(d - 25)*(d - 1)*(d + 29)
Find b such that b**2 + 10774*b - 86256 = 0.
-10782, 8
Let -2*t**2 - 2452*t - 7338 = 0. Calculate t.
-1223, -3
Let -8*q**4 - 1586*q**3/11 + 4188*q**2/11 + 14176*q/11 + 320/11 = 0. What is q?
-20, -2, -1/44, 4
Factor -a**2 + 389738*a - 37973927161.
-(a - 194869)**2
Suppose -2*r**5 - 46*r**4 + 8484*r**3 + 99260*r**2 - 9461666*r + 9353970 = 0. What is r?
-53, 1, 37, 45
Determine k so that 9*k**5 + 15249*k**4 + 6567030*k**3 + 90871200*k**2 - 63504000*k = 0.
-840, -15, 0, 2/3
Find h such that 34228*h**2 + 170940*h - 1000 = 0.
-5, 50/8557
Determine w, given that -4*w**2 - 3132*w + 22120 = 0.
-790, 7
Suppose 3*k**3/4 - 16023*k**2/4 = 0. What is k?
0, 5341
Let -5*d**4 + 300*d**3 + 7385*d**2 - 190020*d - 197100 = 0. What is d?
-30, -1, 18, 73
Determine k so that 2*k**4 - 6230*k**3 + 6464658*k**2 - 2230290386*k - 4486489276 = 0.
-2, 1039
Factor 957555*w**4 + 638280*w**3 + 106335*w**2 - 10*w.
5*w*(3*w + 1)**2*(21279*w - 2)
What is t in 2*t**4 + 82*t**3 + 500*t**2 - 7104*t + 11520 = 0?
-24, 2, 5
Determine k, given that k**5/2 + 67*k**4 - 275*k**3/2 - 204*k**2 = 0.
-136, -1, 0, 3
Suppose -5*p**3 - 65*p**2 + 220*p + 3360 = 0. Calculate p.
-12, -8, 7
Solve 2*l**2/7 + 1330788*l/7 + 221374587618/7 = 0 for l.
-332697
Factor o**2/4 + 78*o + 308.
(o + 4)*(o + 308)/4
Find q, given that -q**2 - 540*q + 2725 = 0.
-545, 5
Let x**4/4 + 35*x**3/4 - 1047*x**2/4 + 2881*x/4 - 935/2 = 0. What is x?
-55, 1, 2, 17
Solve 5*o**4/2 - 835*o**3/2 + 20670*o**2 - 252710*o - 273800 = 0 for o.
-1, 20, 74
What is v in -12*v**4 - 1605*v**3 + 15630*v**2 - 34695*v + 7722 = 0?
-143, 1/4, 3, 6
Solve 2*v**4/3 + 238*v**3/3 + 2316*v**2 - 2880*v - 14400 = 0 for v.
-60, -2, 3
Factor 5*d**3 + 1375*d**2 + 95090*d + 93720.
5*(d + 1)*(d + 132)*(d + 142)
Solve -15*c**5 + 110814*c**4 - 204529362*c**3 - 491309376*c**2 - 368587335*c - 81918150 = 0.
-1, -2/5, 3695
What is o in 3*o**3/5 - 2070159*o**2/5 = 0?
0, 690053
Find a, given that -3*a**5 + 519*a**4 - 26676*a**3 + 523260*a**2 - 3272400*a = 0.
0, 12, 30, 101
Factor 4*v**2 - 275416*v.
4*v*(v - 68854)
Factor -r**3/4 - 437*r**2/4 - 27511*r/4 - 27075/4.
-(r + 1)*(r + 75)*(r + 361)/4
Factor -g**2 + 1963840*g - 964166886400.
-(g - 981920)**2
Factor -4*h**2 + 9764*h + 19544.
-4*(h - 2443)*(h + 2)
Factor 2*n**3/9 - 226*n**2/9 - 1460*n/9 + 3808/9.
2*(n - 119)*(n - 2)*(n + 8)/9
Find x, given that 5*x**4 - 13340*x**3 + 11881440*x**2 - 3548448000*x + 14004541440 = 0.
4, 888
Let 75*d**5 - 645*d**4 + 1167*d**3/4 + 591*d**2 - 1467*d/4 + 54 = 0. Calculate d.
-1, 3/10, 1, 8
Find g such that -g**2/7 + 12802*g/7 - 51192/7 = 0.
4, 12798
Factor -5*w**2 - 1325*w - 22230.
-5*(w + 18)*(w + 247)
Factor r**3 - 81*r**2/7 - 2311*r/7 - 975/7.
(r - 25)*(r + 13)*(7*r + 3)/7
Factor j**4 - 2552348*j**3 + 2171495139264*j**2 - 615825887844480912*j + 1231643089728823536.
(j - 850782)**3*(j - 2)
Let 2*d**5/7 - 492*d**4/7 + 30204*d**3/7 + 13392*d**2/7 - 843534*d/7 + 1633932/7 = 0. Calculate d.
-6, 3, 123
Factor s**2/5 + 1112*s/5 + 3723.
(s + 17)*(s + 1095)/5
Solve 2*r**3 - 2556*r**2/11 + 12674*r/11 - 2220/11 = 0 for r.
2/11, 5, 111
Determine b, given that -5*b**3 + 7310*b**2 + 704260*b + 16441320 = 0.
-46, 1554
Find n, given that 5*n**4/4 + 895*n**3/4 - 7455*n**2/4 + 4925*n/4 + 23375/2 = 0.
-187, -2, 5
Factor -8*a**3/3 + 299*a**2 - 3174*a - 328509.
-(a - 69)**2*(8*a + 207)/3
Factor 3*g**2 + 1287*g - 76638.
3*(g - 53)*(g + 482)
Solve -4*m**2 - 1144*m - 4512 = 0.
-282, -4
Solve 2*c**5/5 + 56*c**4/5 - 822*c**3/5 + 1404*c**2/5 = 0 for c.
-39, 0, 2, 9
Let f**2/2 + 3023*f/2 + 3021 = 0. Calculate f.
-3021, -2
Factor 6171*k**5 + 92556*k**4 + 462690*k**3 + 770700*k**2 - 1125*k.
3*k*(k + 5)**3*(2057*k - 3)
Factor -2*d**3/7 - 16804*d**2/7 + 67248*d/7.
-2*d*(d - 4)*(d + 8406)/7
Find r, given that -4*r**4 - 7260*r**3 + 72872*r**2 - 233472*r + 233600 = 0.
-1825, 2, 4
Factor 3*f**5 + 14724*f**4 + 17589036*f**3 - 1171323648*f**2 + 18985562112*f.
3*f*(f - 32)**2*(f + 2486)**2
Suppose o**2/4 + 99*o/4 - 15611/2 = 0. Calculate o.
-233, 134
Factor -t**2 - 193476*t - 9358240644.
-(t + 96738)**2
Let 2*z**2 + 69178*z/7 + 19764/7 = 0. What is z?
-4941, -2/7
Let -3*j**4/4 + 897*j**3/4 - 38157*j**2/4 + 201603*j/4 - 41085 = 0. Calculate j.
1, 5, 44, 249
Factor j**4/2 - 92*j**3 - 9761*j**2/2.
j**2*(j - 227)*(j + 43)/2
Find x, given that 5*x**4 - 700*x**3 - 3995*x**2 + 54250*x - 87000 = 0.
-12, 2, 5, 145
Let -2*g**2/3 - 86938*g/3 + 173884/3 = 0. What is g?
-43471, 2
Solve 5*z**5/4 + 3715*z**4/4 + 680715*z**3/4 - 3470735*z**2/4 + 1221110*z - 524535 = 0.
-374, 1, 3
Factor 2*p**5/3 - 4276*p**4/3 + 751798*p**3 + 32206832*p**2/3 + 113462048*p/3.
2*p*(p - 1076)**2*(p + 7)**2/3
Factor 5*m**3 + 145*m**2 - 15170*m + 109520.
5*(m - 37)*(m - 8)*(m + 74)
Factor -5*c**3 + 195185*c**2 - 1904566400*c - 5715456000.
-5*(c - 19520)**2*(c + 3)
Factor z**5/3 - 29*z**4/3 + 110*z**3 - 1850*z**2/3 + 5125*z/3 - 1875.
(z - 9)*(z - 5)**4/3
Solve 2*a**2/19 - 356*a/19 - 1200 = 0.
-50, 228
Let s**4/10 + 3258*s**3/5 + 5310539*s**2/5 + 10611306*s/5 + 10608049/10 = 0. Calculate s.
-3257, -1
Let -t**2/8 - 2649*t/2 = 0. Calculate t.
-10596, 0
Factor -3*h**4 + 117*h**3 + 990*h**2 - 1104*h.
-3*h*(h - 46)*(h - 1)*(h + 8)
Determine d, given that -308*d**5 - 32348*d**4 - 833364*d**3 + 843548*d**2 + 22472*d = 0.
-53, -2/77, 0, 1
What is h in 2*h**2/13 + 3976*h/13 + 15872/13 = 0?
-1984, -4
Determine t, given that -3*t**4 - 132*t**3 - 990*t**2 - 1500*t + 2625 = 0.
-35, -5, 1
Factor 2*l**2/3 + 10448*l/3 + 3482.
2*(l + 1)*(l + 5223)/3
What is y in -y**5 - y**4 = 0?
-1, 0
Factor s**3 + 386*s**2 - 1565*s - 1950.
(s - 5)*(s + 1)*(s + 390)
Let -f**4 + 37867*f**3 = 0. What is f?
0, 37867
Find u, given that -2*u**2 + 1021928*u - 130542104648 = 0.
255482
Suppose -2*m**4/7 + 14*m**3 + 1686*m**2/7 + 5022*m/7 - 972 = 0. Calculate m.
-9, -6, 1, 63
Let s**4 + 49*s**3 + 614*s**2 + 1736*s = 0. What is s?
-31, -14, -4, 0
Factor -2*r**2/3 + 103*r/6 + 238/3.
-(r + 4)*(4*r - 119)/6
Fact