216
Find the common denominator of ((-166)/18)/(40/(-12)) and -52/9.
90
Let k(t) = 4*t**2 + 4*t - 4. Let d(p) = p**3 - p**2 + 18. Let s be d(0). Let x = s + -3. What is the lowest common multiple of x and k(1)?
60
Suppose 0*z - 8*z = 56. Let j(b) = b**2 + 7*b + 4. Calculate the least common multiple of j(z) and 16.
16
Suppose -4*n + 3*d - 5*d = -17810, -5*n + 2*d + 22267 = 0. Let z = 48947/11 - n. What is the common denominator of 450/63 - 9/(-63) and z?
77
Calculate the least common multiple of 44 and 31230/50 - 12/20.
6864
Let r be (-1)/(-5) + (-5528)/(-10). Let l be (15340/14)/(-2) - 12/6. Let q = r + l. Calculate the common denominator of q and -40/7.
7
Let v(w) = 13*w - 1. Let a be v(2). Suppose a + 5 = 5*x. What is the smallest common multiple of 24 and x?
24
Let y(w) = w**3 + 14*w**2 + 36*w + 6. What is the smallest common multiple of 48 and y(-9)?
1392
Let g = 22976 + -689159/30. Calculate the common denominator of -115/6 and g.
30
Calculate the common denominator of 53/((-14)/((-126)/297)) and -139/30.
330
Suppose -17*w + 14 = -15*w. What is the smallest common multiple of w and 3?
21
Let g be 6/(-9)*(-138)/16. Let s = g - 109/28. What is the common denominator of s and 45/120 - (-139)/56?
7
Let b(o) = 36*o + 2. Let r be (-20)/(-6) - (-1)/(-3). What is the smallest common multiple of b(r) and 16?
880
Calculate the smallest common multiple of (-42)/(-48) - (-1)/8 - -7 and 109.
872
Let s = -23 + -24. Calculate the common denominator of -25/8 and (8/2)/(-16)*s.
8
What is the common denominator of -2 + ((-2744)/(-96))/7 and 137/90?
180
Suppose -3*x + 0*x = z, 3*z + x - 24 = 0. Suppose z*g = 4*g + 100. What is the lowest common multiple of g and 10?
20
Suppose -3142 = -9*t + 11*t. Let x = 3085/2 + t. Find the common denominator of x and 70/3.
6
Let f = 1091 - 2223/2. Let m = -131 - -2097/16. What is the common denominator of f and m?
16
Suppose -2*h - 2*u = -3*h + 39, -54 = -2*h - 4*u. Calculate the common denominator of h/(-14) - (1 - 1) and 17812/(-51392) - 20/(-22).
112
Suppose 2*n - p - 17 = 0, -4*p = -6 - 6. Suppose -4*f = -n - 6, 0 = 4*l + 4*f - 36. What is the smallest common multiple of (-2)/(-5)*(3 - -17) and l?
40
Find the common denominator of ((-98)/(-24))/(10/6) and 1/4 + (-1105)/900.
180
Let x(g) = -g**2 + 7*g + 1. Let z be -8*(3 + -3 - -1). Let r = z - -12. Calculate the smallest common multiple of r and x(7).
4
Let g = 654 - 632. What is the least common multiple of g and 2?
22
Let h = 17 - -5. Calculate the common denominator of 1/6 and ((-32)/4)/(h/(-13)).
66
Let f(o) = -o**3 + 2*o**2 - 2*o + 1. Let m be f(2). Let c be ((-7)/(-2))/(m/6). Let u = 12 + c. What is the smallest common multiple of u and 10?
10
What is the common denominator of ((-2)/3)/((-16)/(-111)) and 180/(-126) + 478/364?
104
Let t(p) = p**3 + 10*p**2 + 14*p + 10. Let b be t(-9). Let q = 5 + b. Let r = -18 - q. Calculate the lowest common multiple of 52 and r.
156
Find the common denominator of (-26)/((18/(-15))/((-38)/665)) and 95/12.
84
Let s = 279/2 + -344/3. Find the common denominator of (4/(-6))/(4/(-237)) and s.
6
Let y be ((-12)/10)/((-3)/(-10)). Let i be (3 + y)/(1/(-7)). Let o = i - 0. Calculate the lowest common multiple of 9 and o.
63
Suppose -60 = -3*y - 5*z, -40 = -2*y - 51*z + 52*z. What is the smallest common multiple of y and 876?
4380
Let f(c) = -3*c + 7. Let u be f(1). Suppose 0 = -3*d - 3, 0 = -u*i - d - 3*d + 36. Calculate the least common multiple of 7 and i.
70
Calculate the common denominator of 130/(-949)*35/10 and 18/7.
511
Let x(j) = -j**3 - 4*j**2 + j + 4. Calculate the lowest common multiple of x(-5) and -66 - -72 - 24/(-2).
72
Find the common denominator of -61/72 and (-5 + 7)*(1 + 395/(-90)).
72
Let v = 11 + -3. Suppose 56*r - 78 = 54*r. Suppose -5*u + 2*n + r = -6, -u + 32 = -5*n. What is the smallest common multiple of v and u?
56
Suppose -64 = -5*c - 5*m + 206, 5*c + 2*m - 279 = 0. What is the smallest common multiple of c and 6?
114
Let c be 189/45 - (-1)/(-5). Suppose -c*n + 5 = 2*x - 7, 0 = 4*x + 2*n - 6. Let g = 8 + x. What is the smallest common multiple of 6 and g?
24
Let a = -3 - -3. Calculate the common denominator of (399/18 - 5 - -2) + 4 and (a + 2)/(64/(-178)).
48
Let b be 2/(-2)*3 - -3. Find the common denominator of -1 + b - (-58)/40 and -53/4.
20
Suppose 69*x - 7750 = -919. What is the least common multiple of x and -1 + 0 + 1 - -6?
198
Let c(l) = 21*l**2 + 3*l + 8. Let f be c(-4). Let a = -2337/7 + f. What is the common denominator of a and (1/22)/(1/84)?
77
Let h(p) = -451*p**2 - 1. Let z be h(1). Let x = z + 7227/16. What is the common denominator of ((-1)/4)/(15/57) and x?
80
Suppose 4*h = o + o + 38, -h = -3*o - 17. Suppose -5*u = 3*n - 109, 2*u - 2*n + 3*n - 43 = 0. Let m = u + -13. What is the smallest common multiple of h and m?
56
What is the lowest common multiple of 4 and -16*(66/(-10))/(22/110)?
528
Let x be ((-3108)/313)/(5/10*-22). Let j = x - -2/313. Calculate the common denominator of j and -19/5.
55
What is the common denominator of (-3 + (-261)/(-90))*1*101 and 91/15?
30
Suppose -23 = -r - 14. What is the smallest common multiple of r and 114?
342
Let m = 189 + -179. Calculate the lowest common multiple of 16 and m.
80
Suppose -217 = -5*q + 2*b, 2*q - 89 = 6*b - 3*b. Suppose 5*j - 55 - 22 = 3*x, 3*j = 5*x + q. Calculate the least common multiple of 18 and j.
144
Let r = -4943 + 118649/24. Let h = 1/481 - 60131/2886. What is the common denominator of r and h?
24
Let x(o) = o**3 + 6*o**2 - 2*o - 5. Let w be (-126)/30 + 12/(-15). Find the common denominator of ((-497)/(-2 + w))/(-10) and x(-4).
10
Let p = 23513/6 + -3894. Find the common denominator of p and -71/176.
528
Let k be (18/27)/((-4)/(-107886)). Let x = -934919/52 + k. Find the common denominator of x and -1/8.
104
Let c = 540856/357 - 1515. Let t = -11299/2142 - c. Find the common denominator of ((-14)/6)/(40/156) and t.
90
Suppose 2*x + 3 = 7. Calculate the lowest common multiple of 22 and x.
22
Let p = -70 + 46. What is the common denominator of (-247 + 3 - 5)*(-1)/6 and (2/p)/((-7)/2086)?
6
Let u = 543 - 537. Calculate the smallest common multiple of ((-2)/6)/((-2)/132) and u.
66
Let a = 2839/8 - 241047/680. What is the common denominator of a and -13/22?
1870
Find the common denominator of 155/42 and ((-86)/48 - -3) + 4.
168
Let a = -16 + 22. Suppose 0 = a*z - 10*z + 64. Calculate the smallest common multiple of 12 and z.
48
Let c(l) = l**2 + 23*l + 46. Calculate the least common multiple of c(-22) and 18.
72
Let m be ((-3)/9)/(6/54). Let d = 8893/530 - 301/53. What is the common denominator of d and (-119)/182*2*m?
130
Suppose 15*z - 11424 = -41*z. Calculate the smallest common multiple of 20 and z.
1020
Let l = 39 + -3. Suppose -3*a - 4*q = l, 5*a - 5*q = -2*q - 31. What is the lowest common multiple of 12/(-48) + (-26)/a and 9?
9
Suppose 3*v - 106 = -k - 0*v, 234 = 2*k - 5*v. What is the common denominator of (-3290)/k*2/(-15) and 13/(-14) - (0 - 2)?
84
What is the common denominator of ((-3)/10)/(1386/8745) and -89/56?
56
Let z(u) = -59*u**2 + 38*u**2 + u**3 + 0*u + 0*u + 39. Calculate the lowest common multiple of 21 and z(21).
273
Let r = -90 - -114. Suppose 0 = -r*x + x + 138. Calculate the smallest common multiple of x and -1 + (-1 + -7)/(-2).
6
Calculate the least common multiple of 8 and 1/(1*(-5)/(-445)).
712
Suppose 5*c - 2110 = 2*u, -3*c + 3*u = -1091 - 184. What is the lowest common multiple of 294 and c?
2940
Suppose g + 110 = 3*h, -5*h = 5*g - 2*g + 302. Calculate the common denominator of 4/g*(0 - 6) and -30/7.
91
Suppose -o + q = -12, 2*o - 5*o - 5*q + 12 = 0. Calculate the lowest common multiple of (-21)/(-2*o/12) and 7.
14
Suppose 5*j = -2*z + 4*z - 623, 4*j = 12. What is the lowest common multiple of z and 116?
1276
Suppose i + i = -5*a - 22, 0 = -2*i - 2. Let q(p) = -p**3 - 3*p**2 - p - 2. Calculate the lowest common multiple of q(a) and 6.
18
Let s = 154 - 152. Calculate the smallest common multiple of 4 and s.
4
Calculate the least common multiple of (1605/(-2))/(-5)*32/24 and 8.
856
Let b(f) = -f**3 - 10*f**2 - 17*f - 3. Let i be b(-8). Suppose 5*v + 15 = 0, 2*s + i*v = 2*v - 1. What is the smallest common multiple of 10 and s?
20
Suppose -3*q + 6 = 3*o - 6*q, -14 = -5*o + q. Calculate the smallest c