)/5
Let -g**4/10 + 13*g**3/10 - 6*g**2/5 - 128*g/5 + 128/5 = 0. Calculate g.
-4, 1, 8
Find p such that -4*p**2 + 648*p + 652 = 0.
-1, 163
Factor 2*x**2/9 - 316*x/3 + 12482.
2*(x - 237)**2/9
Let 2*z**2/21 - 6*z/7 + 12/7 = 0. Calculate z.
3, 6
Determine u so that 10*u**2/9 + 4444*u/9 - 890/3 = 0.
-445, 3/5
Let -47*u**3 + 937*u**2 - 4640*u - 300 = 0. Calculate u.
-3/47, 10
Factor -4*a**2 + 12*a + 2800.
-4*(a - 28)*(a + 25)
Factor 2*c**3/3 - 16*c**2 + 130*c/3 - 28.
2*(c - 21)*(c - 2)*(c - 1)/3
Determine b, given that 2*b**2/9 + 160*b/3 + 3200 = 0.
-120
Determine t, given that 3*t**3/4 - 117*t**2/2 + 114*t = 0.
0, 2, 76
Solve 2*l**4/5 + 94*l**3/5 - 296*l**2/5 + 40*l = 0 for l.
-50, 0, 1, 2
Suppose 2*i**3 - 36*i**2 + 162*i = 0. Calculate i.
0, 9
Factor 18*l**3 - 680*l**2 + 514*l + 148.
2*(l - 37)*(l - 1)*(9*l + 2)
Determine h, given that -4*h**4/5 + 6768*h**3/5 - 4294296*h**2/5 + 1210991472*h/5 - 128062348164/5 = 0.
423
Solve 7*g**3/3 - 60*g**2 - 241*g/3 - 18 = 0.
-1, -2/7, 27
Let n**2/4 + 52*n + 204 = 0. What is n?
-204, -4
Determine w so that 3*w**4/4 - 93*w**3/4 + 183*w**2 - 333*w - 540 = 0.
-1, 6, 20
Factor 4*r**2 - 216*r - 1180.
4*(r - 59)*(r + 5)
What is b in -5*b**3 + 160*b**2 + 165*b = 0?
-1, 0, 33
What is h in h**5/3 - 7*h**4 + 49*h**3 - 343*h**2/3 = 0?
0, 7
Let 2*u**5/3 + 7130*u**4/3 + 10167380*u**3/3 + 7249341940*u**2/3 + 2584390401610*u/3 + 368534071269586/3 = 0. Calculate u.
-713
Suppose 125*q**5/2 + 525*q**4 + 3165*q**3/2 + 2102*q**2 + 1272*q + 288 = 0. What is q?
-3, -4/5
Determine s so that -s**4/5 - 192*s**3/5 - 8824*s**2/5 + 37632*s/5 - 38416/5 = 0.
-98, 2
Factor u**2/7 + 3*u + 54/7.
(u + 3)*(u + 18)/7
Factor -l**4/3 - 17*l**3 - 238*l**2/3 - 124*l - 184/3.
-(l + 1)*(l + 2)**2*(l + 46)/3
Factor 12*l**2/5 - 5992*l/5 - 800.
4*(l - 500)*(3*l + 2)/5
Factor -x**2/3 + 637*x/3 - 212.
-(x - 636)*(x - 1)/3
Solve 4*f**2 - 1244*f = 0.
0, 311
What is k in -k**3 + 12*k**2 + 459*k - 1458 = 0?
-18, 3, 27
Solve p**3/3 + 10*p**2/3 + 9*p + 6 = 0.
-6, -3, -1
Let 10*a**3/19 + 42*a**2/19 + 48*a/19 + 8/19 = 0. Calculate a.
-2, -1/5
Factor -2*x**3/3 - 16*x**2/3 - 10*x.
-2*x*(x + 3)*(x + 5)/3
Factor -54*k**2 - 1456*k + 54.
-2*(k + 27)*(27*k - 1)
Factor -3*c**4 + 7920*c**3 - 7917*c**2.
-3*c**2*(c - 2639)*(c - 1)
Find s such that 4*s**2/7 + 472*s/7 + 928/7 = 0.
-116, -2
Factor 3*k**2/2 - 75*k/2 + 126.
3*(k - 21)*(k - 4)/2
Suppose s**3/7 - 277*s**2/7 + 17875*s/7 + 184041/7 = 0. Calculate s.
-9, 143
Factor 3*i**5 + 123*i**4 + 1494*i**3 + 2430*i**2 - 34425*i + 30375.
3*(i - 3)*(i - 1)*(i + 15)**3
Factor j**5/2 + 15*j**4 + 172*j**3 + 917*j**2 + 4263*j/2 + 1372.
(j + 1)*(j + 7)**3*(j + 8)/2
Find c such that 2*c**2/7 + 888*c/7 + 98568/7 = 0.
-222
Find g such that 4*g**3 - 1328*g**2 - 2672*g = 0.
-2, 0, 334
Solve -3*f**3 + 162*f**2 - 2187*f = 0 for f.
0, 27
What is p in -4*p**3 + 4*p**2 = 0?
0, 1
Suppose 2*q**2 + 8*q - 24 = 0. What is q?
-6, 2
Solve -4*r**2 - 188*r + 816 = 0 for r.
-51, 4
What is r in -2*r**3/5 + 22*r**2/5 + 336*r = 0?
-24, 0, 35
Find f, given that -5*f**3 + 30*f**2 - 40*f = 0.
0, 2, 4
Suppose 21*c**4 - 99*c**3 - 51*c**2 + 99*c + 30 = 0. Calculate c.
-1, -2/7, 1, 5
Find r such that -2*r**5/13 + 6*r**4/13 - 6*r**3/13 + 2*r**2/13 = 0.
0, 1
Solve 5*j**3 + 205*j**2 - 900*j = 0.
-45, 0, 4
Factor 2*h**4 - 28*h**3 + 88*h**2 - 80*h.
2*h*(h - 10)*(h - 2)**2
Determine w so that 5*w**5 - 70*w**4 - 10*w**3 + 140*w**2 + 5*w - 70 = 0.
-1, 1, 14
Factor -2*x**2 - 40*x - 38.
-2*(x + 1)*(x + 19)
Determine t, given that -4*t**4 + 312*t**3 - 6676*t**2 + 23088*t - 21904 = 0.
2, 37
Factor 3*v**2/2 - 1491*v/2 + 744.
3*(v - 496)*(v - 1)/2
Factor 4*b**2 + 700*b - 1416.
4*(b - 2)*(b + 177)
Determine i so that -2*i**2/3 + 428*i/3 - 142 = 0.
1, 213
Factor 2*p**3/3 - 458*p**2/3 + 2228*p/3 + 896.
2*(p - 224)*(p - 6)*(p + 1)/3
Factor z**4/3 + z**3 - z**2/3 - z.
z*(z - 1)*(z + 1)*(z + 3)/3
Solve -2*d**2 - 172*d + 174 = 0.
-87, 1
Factor -5*g**4/4 + 250*g**3 - 995*g**2/4.
-5*g**2*(g - 199)*(g - 1)/4
Suppose 4*c**3 + 744*c**2 - 3024*c + 3040 = 0. Calculate c.
-190, 2
Solve -5*k**2 + 660*k - 21780 = 0.
66
Factor -4*p**5 + 20*p**4 - 28*p**3 + 12*p**2.
-4*p**2*(p - 3)*(p - 1)**2
Factor -5*l**3 - 100*l**2 + 3065*l - 2960.
-5*(l - 16)*(l - 1)*(l + 37)
Factor c**2 + 18*c + 32.
(c + 2)*(c + 16)
Determine j so that 18*j**3 + 57*j**2 + 9*j = 0.
-3, -1/6, 0
Determine p, given that -3*p**3 + 2184*p**2 + 3*p - 2184 = 0.
-1, 1, 728
Solve -6*r**3 - 1080*r**2/7 - 738*r/7 + 300/7 = 0 for r.
-25, -1, 2/7
Factor 2*l**4 + 8*l**3 - 12*l**2 - 72*l - 54.
2*(l - 3)*(l + 1)*(l + 3)**2
Suppose l**4/4 + l**3/4 - l**2/4 - l/4 = 0. What is l?
-1, 0, 1
Factor 4*n**3/3 - 20*n**2/3.
4*n**2*(n - 5)/3
What is a in 4*a**2/3 + 25088*a/3 + 39337984/3 = 0?
-3136
Factor 4*b**3 - 588*b**2 + 2304*b - 2288.
4*(b - 143)*(b - 2)**2
Let -2*p**2/9 + 904*p/9 = 0. Calculate p.
0, 452
Factor l**2/6 - 8*l/3 - 6.
(l - 18)*(l + 2)/6
Factor 4*k**2/3 - 4376*k + 3590508.
4*(k - 1641)**2/3
Factor 6*q**3 + 2691*q**2 + 302400*q + 150528.
3*(q + 224)**2*(2*q + 1)
Find h, given that 2*h**3 + 90*h**2/11 + 96*h/11 + 8/11 = 0.
-2, -1/11
Find x such that -x**4/10 - 14*x**3/5 - 109*x**2/10 + 69*x/5 = 0.
-23, -6, 0, 1
Find h such that -16*h**4 - 388*h**3 - 816*h**2 - 532*h - 88 = 0.
-22, -1, -1/4
Factor 2*f**5/3 + 16*f**4/3.
2*f**4*(f + 8)/3
Let 2*c**5 - 30*c**4 + 60*c**3 + 380*c**2 + 450*c + 162 = 0. What is c?
-1, 9
What is u in -u**5/3 - 10*u**4/3 - 7*u**3/3 + 110*u**2/3 + 44*u/3 - 280/3 = 0?
-7, -5, -2, 2
Find i such that 3*i**5 - 105*i**4 - 591*i**3 - 387*i**2 + 1080*i = 0.
-3, 0, 1, 40
Factor -2*u**5 - 30*u**4/7 - 18*u**3/7 - 2*u**2/7.
-2*u**2*(u + 1)**2*(7*u + 1)/7
Determine z so that -z**4 + 81*z**3 - 2262*z**2 + 23660*z - 52728 = 0.
3, 26
Factor 2*f**3/17 + 20*f**2/17 - 46*f/17 + 24/17.
2*(f - 1)**2*(f + 12)/17
Factor -3*a**2 + 972*a + 1956.
-3*(a - 326)*(a + 2)
Factor 3*i**2 - 681*i - 684.
3*(i - 228)*(i + 1)
Factor b**2/3 + 2*b/3 - 5.
(b - 3)*(b + 5)/3
Determine t so that 3*t**3 - 9*t - 6 = 0.
-1, 2
Factor -4*k**3 - 14*k**2 + 31*k/4 - 1.
-(k + 4)*(4*k - 1)**2/4
Find u, given that -3*u**4/5 - 12*u**3/5 + 3*u**2/5 + 12*u/5 = 0.
-4, -1, 0, 1
Solve -30*g**5 + 25*g**4 + 15*g**3 - 10*g**2 = 0 for g.
-2/3, 0, 1/2, 1
Solve 2*d**2/3 - 156*d + 9126 = 0.
117
Suppose 9*m**5/5 + 42*m**4/5 - 57*m**3/5 - 198*m**2/5 + 84*m/5 + 24 = 0. What is m?
-5, -2, -2/3, 1, 2
Find f, given that f**3 + 5*f**2/3 - 16*f/3 - 4 = 0.
-3, -2/3, 2
Suppose -2*u**2/9 + 28*u/9 - 22/3 = 0. Calculate u.
3, 11
Factor 32*v**4 + 4*v**3 - 96*v**2 + 52*v + 8.
4*(v - 1)**2*(v + 2)*(8*v + 1)
Find z, given that 3*z**5/2 - 57*z**4/2 - 30*z**3 = 0.
-1, 0, 20
Solve p**3/2 + 18*p**2 - 434*p - 936 = 0 for p.
-52, -2, 18
Factor -u**3/5 + 68*u**2/5 - 61*u/5 - 402/5.
-(u - 67)*(u - 3)*(u + 2)/5
Let 2*c**4/3 - 8*c**3 + 20*c**2 - 56*c/3 + 6 = 0. What is c?
1, 9
Determine h, given that 3*h**3 - 15*h**2 - 291*h - 273 = 0.
-7, -1, 13
Solve -w**5/7 + 9*w**4/7 + 23*w**3/7 - 9*w**2/7 - 22*w/7 = 0 for w.
-2, -1, 0, 1, 11
Solve -2*b**4/3 + 1562*b**3/3 + 2*b**2 - 4682*b/3 - 3124/3 = 0.
-1, 2, 781
Solve -7*p**3/2 + 6*p**2 + 2*p = 0.
-2/7, 0, 2
Suppose 3*m**2 - 222*m - 2241 = 0. Calculate m.
-9, 83
Factor 2*x**2/3 - 444*x + 2656/3.
2*(x - 664)*(x - 2)/3
Solve 2*v**3 + 206*v**2 + 204*v = 0 for v.
-102, -1, 0
Factor -2*i**2/21 - 62*i/21.
-2*i*(i + 31)/21
Let 8*p**2/5 - 370*p + 462/5 = 0. What is p?
1/4, 231
Factor 68*v**2/3 + 1816*v + 640/3.
4*(v + 80)*(17*v + 2)/3
What is h in -5*h**5 - 30*h**4 + 10*h**3 + 60*h**2 - 5*h - 30 = 0?
-6, -1, 1
What is h in -5*h**4 + 11870*h**3 - 7056705*h**2 + 14077820*h - 7032980 = 0?
1, 1186
Factor h**3/4 - 10*h**2 - 689*h/4.
h*(h - 53)*(h + 13)/4
Find i such that -4*i**4/5 - 88*i**3/5 - 448*i**2/5 - 72*i + 180 = 0.
-15, -5, -3, 1
Factor -3*t**2/2 + 1704*t - 483936.
-3*(t - 568)**2/2
Determine c so that -3*c**2 - 6591*c = 0.
-2197, 0
Determine q, given that -3*q**2 - 102*q + 105 = 0.
-35, 1
Factor -2*r**2 + 124*r - 1922.
-2*(r - 31)**2
Factor -c**2/7 + 5*c/7 - 4/7.
-(c - 4)*(c - 1)/7
Factor 256*s**5 - 704*s**4 + 688*s**3 - 292*s**2 + 56*s - 4.
4*(s - 1)**2*(4*s - 1)**3
Factor -k**3/10 + 7*k**2/10 - 2*k/5 - 6/5.
-(k - 6)*(k - 2)*(k + 1)/10
Factor -4*q**2/7 + 409*q/7 - 102/7.
-(q - 102)*(4*q - 1)/7
Suppose -3*r**2 - 24*r = 0. Calculate r.
-8, 0
Factor -3*w**2 + 2529*w.
-