 = 2*h - 12*h + 850. Suppose 5*s - h - 135 = 0. What is the common denominator of s and -19/6?
6
Suppose 2*b = 5*g + 12, b - 4*g + 0*g - 6 = 0. Calculate the smallest common multiple of b and 8*(-9)/15*(-60)/48.
6
Suppose 1218 = -7*m + 1316. What is the least common multiple of m and 5?
70
Calculate the common denominator of (-4)/(-78)*36/8 and (-27)/(-3) + 1360/96.
78
Let g = -3994/7 - -573. Calculate the common denominator of g and (792/110)/(((-33)/(-20))/(-1)).
77
Suppose 4*u - 11 = 77. Let i(d) = -3*d**2 - 36*d + 16. Let w be 15/(-5) - 0 - (3 + 6). Calculate the least common multiple of i(w) and u.
176
Calculate the common denominator of 1342/(-80) + 11 - -6 and 61/4.
40
Calculate the common denominator of 41/183 and -2*(-6 + (-2082)/(-324)).
1647
Suppose 3*w = 8*w - 4*p + 138, 4*w + 114 = 2*p. Let m = 60 + w. Suppose 0*n - m = -3*n. Calculate the least common multiple of 22 and n.
110
Let x be ((-3190)/(-407) - (-2 + 4)) + -4. Let r = x - -603/296. What is the common denominator of -49 and r?
8
Let w = 51929/1230 - 632/15. Find the common denominator of w and (-2)/16*(-438)/(-6).
328
Let l = 512/51 - 90416/8925. What is the common denominator of -12/5 and l?
175
Let h(r) = -7*r - 1. Let j be h(-4). Let k = 46 - j. Suppose 1 + k = 4*x. What is the smallest common multiple of 9 and x?
45
What is the common denominator of -121/48 and ((-1)/16)/(72/2844)?
96
Let a be 1 + -1 + -16 + 12. Find the common denominator of 68/45 and 82*(-22)/(-55)*5/a.
45
Let k(q) = -4*q + 44. Suppose -9*m - z + 96 = -4*m, 3*m - z - 64 = 0. Calculate the lowest common multiple of k(6) and m.
20
Let p(o) = -2*o + 228 + 5*o - 244. Let y be p(7). Suppose y*g - 35 = 5*h, 2*g + 2*h = 6*h + 8. What is the smallest common multiple of 14 and g?
70
What is the common denominator of (-525)/54*132/231 and -46/5?
45
Let s(q) = q**3 - 5*q**2 - 5*q - 7. Let f be s(6). Let m = 19 - f. Calculate the smallest common multiple of 18 and m.
180
Let l = 115 - 211. Find the common denominator of 11/9 and (-6)/24 - 34*5/l.
144
Let a be 5 + ((-84404)/40 - -5). Let t = a + 2103. Let d = 1/3377 + 219502/10131. What is the common denominator of d and t?
30
Let x be 14/(-35) + 62/5. Suppose x = -2*n + 56. Calculate the lowest common multiple of n and 8.
88
Let f be (45/(-6))/(3/(-4)). Suppose k + 5*g + 2 = -2, 3*k - f = -4*g. Calculate the least common multiple of 10 and 7 + (-5)/(15/k).
10
Let w = -1887/10 + 913/5. Let k = -21 - -13. What is the common denominator of 10/20 + 2/k and w?
20
Let x(l) = -l**3 + 22*l**2 - 30*l + 84. Calculate the smallest common multiple of x(20) and 22.
3124
Suppose -9*j - 18 = -11*j. Calculate the common denominator of 9/8 and ((-9)/6)/(j/44).
24
Suppose -2*g = a - 12, -2*a - 4*g = -5*a - 4. Suppose -5 = 3*i - 35. What is the lowest common multiple of i and a?
20
Let v be 36 + -37 - 4/(-1). Let i(f) = f**2 + 7*f + 5. Let t be i(-6). What is the lowest common multiple of 36/v - (t + 1) and 2?
12
Let g = 12 - -12. Suppose 19*o = g*o - 50. What is the lowest common multiple of o and 2?
10
Let g = 21458 - 1823956/85. What is the common denominator of g and 71/20?
340
Let t(q) = 2*q**2 + 98*q + 204. What is the lowest common multiple of 76 and t(-47)?
304
What is the common denominator of 6 - ((1783/(-285))/1)/(-1) and 53/15?
285
Let y(u) = u**2 + 6*u. Let n be y(-6). Calculate the smallest common multiple of (-3)/(-5) - 162/(-30) and ((n - 1) + 0)*-11.
66
Calculate the least common multiple of 5/(-30)*-8 - (-274)/6 and 9.
423
Suppose -31*f + 915 = -139. Calculate the least common multiple of f and 5.
170
Suppose -30*g + 4928 = -8*g. What is the lowest common multiple of g and 28?
224
Let o be (-1)/(-5)*(-180582)/(-10). Let i = -3611 + o. What is the common denominator of i and -3/10?
50
Let l = 1151/42 - 55/2. Let r = 129971/205170 - 1/6839. Find the common denominator of r and l.
210
Let w = -24 - -31. Let s(h) = h**2 - 6*h - 1. Calculate the lowest common multiple of 8 and s(w).
24
Let g be (2/(-6))/(1254/108). Let l = 12295/1254 - g. Calculate the common denominator of -131/24 and l.
24
Suppose 157 = -18*o + 22*o - l, 3*l = 3*o - 111. Calculate the least common multiple of 28 and o.
280
Let u be (2*(-2)/(-440))/(6/(-8332)). Let g = 128/15 + u. What is the common denominator of g and -99/14?
154
Let u = -29851/6 + 4992. What is the common denominator of u and 0/(-3) + (-30)/(-32)?
48
Let x(w) = -w**3 + 4*w**2 + 14*w - 6. What is the least common multiple of 48 and x(6)?
48
Calculate the lowest common multiple of (-104)/(-4) + (-38)/19 and 100.
600
Let k(r) = 11*r - 13. Let g be k(13). Let s(h) = h + 19. Let b be s(-13). Find the common denominator of (b/(-5))/(64/g) and 43/22.
176
Let c = 39 - 60. Let y = 14 + c. Let q = 3 - y. Calculate the lowest common multiple of q and 11.
110
What is the least common multiple of 1*2 - 48*3/(-9) and 180?
180
Let z be 3*(-10)/(-105)*-7. Let b(m) = 8*m**2 - 3*m - 4. Let c be b(-3). Find the common denominator of -107/6 and (0 - 2) + c/z.
6
Suppose -7*m = 21*m - 336. Calculate the lowest common multiple of m and 14.
84
Calculate the least common multiple of 24 and 11/33*(-135)/(-3).
120
Let h be -8*(35/10 + -4). Suppose -q - z = -8, h*q + 0*z - 38 = 2*z. What is the least common multiple of q and 50?
450
Let u be (-41854)/(-8)*1/2. Let n = u + -2620. Find the common denominator of 17/3 and n.
24
Suppose -5*p - 28 = -3*z, 4 + 0 = 4*p. Let t(c) = -17 + 16*c - z*c - 10*c. What is the lowest common multiple of 4 and t(-10)?
132
Let c(p) = -p**2 - 5*p + 46. Calculate the lowest common multiple of c(-9) and 42.
210
Suppose 5*h = -5 - 15. Let q be (h/2)/(4/4581). Let k = 2339 + q. Calculate the common denominator of -9/4 and k.
4
Let d be (-12)/(-7) + (-2)/(-7). Suppose x = -d*x + 60. What is the lowest common multiple of (x/6)/((-2)/(-6)) and 7?
70
Let v be 8417/9 - (-4)/12. Let q = 85073/90 - v. What is the common denominator of q and (-173)/(-20) + 3/12?
10
Let l be 10/4*30/25. Suppose -i = -l*p - 8, i + 40 = 2*i + 5*p. Let j = -18 + 40. What is the lowest common multiple of i and j?
220
Let w = -2069183/42 - -49263. Find the common denominator of 139/30 and w.
210
Let w = -221/112 + 16/7. What is the common denominator of -9/10 and w?
80
Let p(k) = -3*k**2 - 4*k - 3. Let b(a) = -4*a**2 - 3*a - 4. Let s(h) = -2*b(h) + 3*p(h). Calculate the smallest common multiple of s(-5) and 12.
12
Let j(x) = 2*x**2 + 139*x + 78. Let g be -9 - ((-1 - -5) + -2). Let q = -7 - g. Calculate the least common multiple of j(-69) and q.
36
Suppose 0 = 5*m - 15, -2*i - m + 4*m - 425 = 0. Find the common denominator of -5*(-1)/(-6) - 2 and (i/40)/((-24)/9).
60
Let l be (16/(-24))/((-2)/(-12)). What is the lowest common multiple of 1 and 7/14*(-22)/4*l?
11
Suppose 4*r - 2*j = 258, 0*j - 211 = -3*r + 5*j. Let m = r - 53. Let o = -6 - -10. What is the least common multiple of o and m?
36
Let t = 4492 - 3126431/696. Let o = -13457/696 + t. Calculate the common denominator of o and -68/3.
3
What is the smallest common multiple of 10*((-6)/4)/3 - -13 and 24?
24
Let w be (-11)/(2*(-2)/(-4)). Let s = 12 + w. Find the common denominator of -43/16 and s/(-10)*-73 + -4.
80
Suppose 0*x + 3*x - 4179 = 0. Let g = x + -22273/16. What is the common denominator of -109/12 and g?
48
Calculate the least common multiple of 58 and (15 - 6) + (-88)/11.
58
Let n be 6/15 + 2183/5. Suppose 0 = w - 5*v - 119, -2*w - n = -5*w - v. Calculate the common denominator of 5*w/100*-1 and -69/4.
20
Let c = 7741/6 + -1293. Calculate the common denominator of c and -24/41.
246
Let j be (-35)/(-28)*(-8)/(-1). Suppose -j*x + 11 = 1. Calculate the smallest common multiple of x and 1.
1
Suppose 84*f + 28 = 80*f. Let q(s) = s + 15. Calculate the lowest common multiple of q(f) and 80.
80
Let m = 11 - 1. Let t = 4144 - 4128. Calculate the smallest common multiple of m and t.
80
Suppose -19 = 3*h - 4*g - g, -h = -2*g + 8. Suppose u + h = 20. Find the common denominator of -35/11 and 40/u + 3 + -1.
99
Let f be (-20)/(-70) - 30/7. Let a = 161 + -147. What is the lowest common multiple of ((-63)/f)/(-7)*-8 and a?
126
Let k(z) = 2*z - 8. Let q be k(5). What is the common denominator of (q - (-489)/(-240))*-132 and -53/22?
220
Suppose y = 3*y - 8. Suppose y*b - 40 = -0*b. What is the least common mult