*x - 160 = 0. Calculate x.
-2/5, 1, 8
Factor -t**2/2 + 2198*t - 2415602.
-(t - 2198)**2/2
Determine u so that -3*u**2/4 + 4257*u/2 - 6040683/4 = 0.
1419
Factor 2*q**2 + 10*q - 28.
2*(q - 2)*(q + 7)
Suppose -3*f**2/4 + 33*f/4 = 0. Calculate f.
0, 11
Factor -3*f**2 - 597*f + 600.
-3*(f - 1)*(f + 200)
Factor -2*n**3/9 - 536*n**2/9 - 1066*n/9 - 532/9.
-2*(n + 1)**2*(n + 266)/9
Solve 2*m**3/9 - 640*m**2/3 + 2552*m/3 - 7648/9 = 0.
2, 956
Factor f**5/8 - 5*f**4/8 + 3*f**3/4 + f**2/4 - 7*f/8 + 3/8.
(f - 3)*(f - 1)**3*(f + 1)/8
Factor 3*n**5 - 9*n**4 - 9*n**3 + 21*n**2 + 18*n.
3*n*(n - 3)*(n - 2)*(n + 1)**2
Factor 3*g**2 + 240*g + 693.
3*(g + 3)*(g + 77)
Find q such that -4*q**4 + 4*q**3 + 36*q**2 - 36*q = 0.
-3, 0, 1, 3
Factor 3*v**3/7 + 993*v**2/7.
3*v**2*(v + 331)/7
Let -2*p**3/7 - 18*p**2/7 - 4*p = 0. What is p?
-7, -2, 0
Factor -3*v**3 + 42*v**2 - 3*v - 468.
-3*(v - 13)*(v - 4)*(v + 3)
Suppose -2*o**5/5 + 6*o**4 + 24*o**3 - 40*o**2 - 288*o/5 = 0. What is o?
-4, -1, 0, 2, 18
Determine z so that -4*z**2 - 9924*z = 0.
-2481, 0
Solve 5*f**5 - 20*f**4 - 135*f**3 - 190*f**2 - 80*f = 0.
-2, -1, 0, 8
What is h in 15*h**4/7 - 3*h**3 - 114*h**2/7 + 228*h/7 - 72/7 = 0?
-3, 2/5, 2
Determine z, given that 5*z**3 - 5*z**2 - 880*z + 4800 = 0.
-15, 8
Factor 2*n**3 + 204*n**2 - 416*n.
2*n*(n - 2)*(n + 104)
Solve -2*s**2/23 - 54*s/23 + 56/23 = 0 for s.
-28, 1
Suppose -2*y**2 + 5852*y - 5850 = 0. Calculate y.
1, 2925
Factor 2*j**3/7 + 18*j**2/7 - 60*j/7 - 176/7.
2*(j - 4)*(j + 2)*(j + 11)/7
Find b such that b**5/7 + 37*b**4/7 + 394*b**3/7 + 970*b**2/7 + 901*b/7 + 289/7 = 0.
-17, -1
Factor -2*z**4/7 - 6526*z**3/7 + 13058*z**2/7 - 6530*z/7.
-2*z*(z - 1)**2*(z + 3265)/7
Factor c**4 + 40*c**3 + 182*c**2 + 248*c + 105.
(c + 1)**2*(c + 3)*(c + 35)
Factor 3*q**2 - 6*q - 9.
3*(q - 3)*(q + 1)
Suppose 3*j**5 - 11*j**4 - 13*j**3 + 39*j**2 - 10*j - 8 = 0. What is j?
-2, -1/3, 1, 4
Solve -k**5/3 + 13*k**4 - 153*k**3 + 1445*k**2/3 = 0 for k.
0, 5, 17
Determine n, given that n**2 - 47*n + 46 = 0.
1, 46
Find g, given that 84*g**3 + 10*g**2 - 74*g - 20 = 0.
-5/6, -2/7, 1
Suppose -2*j**2 + 25908*j - 83903058 = 0. What is j?
6477
What is a in -2*a**2/5 + 28*a/5 + 6 = 0?
-1, 15
Factor 2*y**3 + 162*y**2 - 2*y - 162.
2*(y - 1)*(y + 1)*(y + 81)
Find g, given that -15*g**5 - 20*g**4 + 215*g**3 - 280*g**2 + 100*g = 0.
-5, 0, 2/3, 1, 2
Solve -2*d**4 - 110*d**3 + 112*d**2 = 0 for d.
-56, 0, 1
Find m, given that -8*m**3 + 498*m**2 - 7812*m + 1922 = 0.
1/4, 31
Factor -2*z**2 - 160*z - 3200.
-2*(z + 40)**2
Factor 2*t**2 + 54*t + 324.
2*(t + 9)*(t + 18)
Suppose -k**3 - 101*k**2 - 664*k - 564 = 0. Calculate k.
-94, -6, -1
Find z, given that 3*z**2 + 324*z = 0.
-108, 0
Let -2*u**4/9 - 16*u**3/9 - 10*u**2/9 + 28*u/9 = 0. Calculate u.
-7, -2, 0, 1
Find m, given that -2*m**2/5 + 3264*m/5 - 3262/5 = 0.
1, 1631
Solve -p**4 - 5*p**3 - 7*p**2 - 3*p = 0 for p.
-3, -1, 0
Factor 5*x**3 + 10340*x**2 + 10335*x.
5*x*(x + 1)*(x + 2067)
What is g in 1587*g**4 - 69*g**3 + 3*g**2/4 = 0?
0, 1/46
Suppose -3*c**3/2 - 36*c**2 - 63*c/2 + 69 = 0. Calculate c.
-23, -2, 1
Factor -3*d**2/7 - 822*d/7 - 56307/7.
-3*(d + 137)**2/7
Factor -j**2 + 51*j - 98.
-(j - 49)*(j - 2)
Determine f, given that 2*f**5 - 20*f**4 + 34*f**3 + 104*f**2 - 120*f = 0.
-2, 0, 1, 5, 6
Determine z so that z**5 - 12*z**4 - 29*z**3 + 12*z**2 + 28*z = 0.
-2, -1, 0, 1, 14
Factor -4*o**3 + 304*o**2 + 948*o.
-4*o*(o - 79)*(o + 3)
Factor -3*m**2/5 + 66*m + 2457/5.
-3*(m - 117)*(m + 7)/5
Factor -p**2/5 - 71*p/5 + 76.
-(p - 5)*(p + 76)/5
Determine w, given that -w**3/3 + 109*w**2/3 - 2915*w/3 - 3025/3 = 0.
-1, 55
Find n such that n**2/3 - 56*n + 2352 = 0.
84
Find u, given that -3*u**2 + 9888*u - 8147712 = 0.
1648
Factor 4*j**5/5 - 392*j**4/5 + 10356*j**3/5 - 36848*j**2/5 + 35344*j/5.
4*j*(j - 47)**2*(j - 2)**2/5
Factor -5*u**3/3 + 2*u**2/3 + 5*u/3 - 2/3.
-(u - 1)*(u + 1)*(5*u - 2)/3
Solve 2*q**4/5 + 244*q**3/5 - 248*q**2/5 - 244*q/5 + 246/5 = 0 for q.
-123, -1, 1
Let 3*b**4 + 39*b**3 + 90*b**2 = 0. Calculate b.
-10, -3, 0
Factor 2*h**2 - 84*h + 304.
2*(h - 38)*(h - 4)
Suppose 4*o**2 + 60776*o + 230857636 = 0. Calculate o.
-7597
Factor x**3 + 9*x**2 + 15*x - 25.
(x - 1)*(x + 5)**2
Determine f, given that -2*f**2 - 1296*f - 209952 = 0.
-324
Let -3*n**5 - 28*n**4 + 149*n**3 + 70*n**2 - 104*n = 0. What is n?
-13, -1, 0, 2/3, 4
Factor -2*s**3 + 500*s**2 - 2944*s + 3904.
-2*(s - 244)*(s - 4)*(s - 2)
Suppose 3*b**2/4 + 381*b/4 - 96 = 0. What is b?
-128, 1
Solve 72*w**2/5 - 28*w - 8/5 = 0.
-1/18, 2
Factor 4*x**2/5 + 96*x/5 + 92/5.
4*(x + 1)*(x + 23)/5
Factor 4*z**5 + 4*z**4 - 72*z**3 - 208*z**2 - 160*z.
4*z*(z - 5)*(z + 2)**3
Factor 2*p**3/7 - 28*p**2 + 82*p - 380/7.
2*(p - 95)*(p - 2)*(p - 1)/7
Factor 19*a**2 - 15*a.
a*(19*a - 15)
Factor 5*z**4 + 10*z**3 - 15*z**2 - 20*z + 20.
5*(z - 1)**2*(z + 2)**2
Factor 2*q**3/9 - 104*q**2/9 + 1234*q/9 + 2900/9.
2*(q - 29)*(q - 25)*(q + 2)/9
Factor -5*a**2 - 145*a + 660.
-5*(a - 4)*(a + 33)
Factor -2*w**3/9 + 4*w**2/3 - 16*w/9.
-2*w*(w - 4)*(w - 2)/9
Find h, given that 17*h**5/4 + 37*h**4/4 + 9*h**3/4 - 25*h**2/4 - 7*h/2 = 0.
-1, 0, 14/17
Solve 8*l**4/3 - 98*l**3/3 + 14*l**2/3 + 40*l = 0.
-1, 0, 5/4, 12
Determine y so that y**4/3 + y**3 - 7*y**2/3 - 9*y - 6 = 0.
-3, -2, -1, 3
Factor -3*l**2/5 - 5178*l/5 - 2234307/5.
-3*(l + 863)**2/5
Let h**2 + 640*h - 641 = 0. What is h?
-641, 1
Let k**3 - k = 0. What is k?
-1, 0, 1
Solve r**2/3 + 3860*r/3 - 1287 = 0.
-3861, 1
Factor -4*j**3 + 56*j**2 + 16*j - 224.
-4*(j - 14)*(j - 2)*(j + 2)
Factor n**2/2 + 37*n/2 + 35.
(n + 2)*(n + 35)/2
Suppose 98*v**4 - 56308*v**3 + 8104314*v**2 - 4617256*v + 658952 = 0. What is v?
2/7, 287
Let 3*x**3/8 - 129*x**2 = 0. What is x?
0, 344
Solve -5*b**4 - 605*b**3 - 19720*b**2 - 84100*b = 0 for b.
-58, -5, 0
Factor 4*u**5 + 168*u**4 - 712*u**3 + 1088*u**2 - 732*u + 184.
4*(u - 1)**4*(u + 46)
Solve -j**3/7 + 424*j**2/7 - 44944*j/7 = 0 for j.
0, 212
Determine n so that n**2 - 1450*n + 2896 = 0.
2, 1448
Factor 2*s**3/7 + 90*s**2/7 + 1056*s/7 + 968/7.
2*(s + 1)*(s + 22)**2/7
Factor -4*d**4 + 84*d**2 - 80*d.
-4*d*(d - 4)*(d - 1)*(d + 5)
Find z such that 2*z**2 - 456*z = 0.
0, 228
Find d such that -3*d**5/7 - 54*d**4/7 - 204*d**3/7 - 102*d**2/7 + 207*d/7 + 156/7 = 0.
-13, -4, -1, 1
Suppose 2*z**2 - 326*z + 324 = 0. What is z?
1, 162
Determine h so that 4*h**5 + 172*h**4 - 180*h**3 - 172*h**2 + 176*h = 0.
-44, -1, 0, 1
Factor 3*q**3 - 897*q**2 - 1803*q - 903.
3*(q - 301)*(q + 1)**2
Factor -2*q**2/7 - 3072*q/7 - 1179648/7.
-2*(q + 768)**2/7
Suppose -5*z**4 + 30*z**3 + 20*z**2 - 270*z + 225 = 0. What is z?
-3, 1, 3, 5
Suppose -2*k**5/13 + 8*k**4/13 - 2*k**3/13 - 28*k**2/13 + 40*k/13 - 16/13 = 0. What is k?
-2, 1, 2
Let 2*y**2 + 10708*y + 14332658 = 0. What is y?
-2677
Factor 4*l**4 + 32*l**3 - 228*l**2 - 1600*l + 1792.
4*(l - 7)*(l - 1)*(l + 8)**2
Suppose -5*k**4/4 + 5*k**3/2 + 30*k**2 = 0. Calculate k.
-4, 0, 6
Factor 2*w**4/3 + 10*w**3/3 + 16*w**2/3 + 8*w/3.
2*w*(w + 1)*(w + 2)**2/3
Factor 5*w**4 + 1265*w**3 - 1280*w**2 - 2540*w.
5*w*(w - 2)*(w + 1)*(w + 254)
Find r, given that 2*r**3 + 64*r**2 + 120*r = 0.
-30, -2, 0
Factor b**4/4 - b**3/4 - b**2/4 + b/4.
b*(b - 1)**2*(b + 1)/4
Factor -2*h**4 - 66*h**3 - 286*h**2 - 150*h + 504.
-2*(h - 1)*(h + 3)**2*(h + 28)
Solve 3*t**3/2 - 15*t**2/2 - 72*t + 378 = 0.
-7, 6
Solve 9*n**4/2 + 2973*n**3/2 + 3945*n**2/2 - 993*n/2 - 987 = 0 for n.
-329, -1, 2/3
Suppose 2*o**5/5 + 512*o**4/5 - 1032*o**3/5 + 4*o**2/5 + 206*o - 516/5 = 0. Calculate o.
-258, -1, 1
Solve 25*t**4/4 - 315*t**3/2 + 1209*t**2/4 + 319*t + 69 = 0 for t.
-2/5, 3, 23
Factor -4*g**4 - 6172*g**3 - 3170340*g**2 - 539998100*g + 1092727000.
-4*(g - 2)*(g + 515)**3
Factor 2*j**4/9 - 2*j**3 + 2*j**2/3 + 290*j/9 - 200/3.
2*(j - 5)**2*(j - 3)*(j + 4)/9
Factor -4*g**2/5 - 32*g/5.
-4*g*(g + 8)/5
Solve -18*n**5/7 + 698*n**4/7 - 6324*n**3/7 - 8640*n**2/7 - 1600*n/7 = 0 for n.
-1, -2/9, 0, 20
Factor -o**2/2 - 52*o - 103/2.
-(o + 1)*(o + 103)/2
Determine g, given that -6*g**4 + 145*g**3 + 132*g**2 - 171*g - 100 = 0.
-4/3, -1/2, 1, 25
Factor 2*x**2 + 22*x + 60.
2*(x + 5)*(x + 6)
Factor -5*t**4 - 175*t**3 - 1895*t**2 - 6225*t - 4500.
-5*(t + 1)*(t + 4)*(t + 15)**2
Factor -3*l**2/2 + 69*l/2 - 135.
-3*(l - 18)*(l - 5)/2
Suppose -c**4/3 - 25*c**3/3 + 70*c**2 - 440*c/3 + 256/3 = 0.