 What is the smallest common multiple of u/((-4)/(-8 - -4)) and 22?
22
Let w(b) = b**2 + 12*b + 27. Let q be w(-10). Let d = 16 - q. Calculate the lowest common multiple of 10 and d.
90
Calculate the common denominator of 4/16 + 3002/(-6764) and -73/12.
1068
Suppose 0 = 5*w + 16 + 4. Let v be w - -6 - 75154/(-180). Let k = -2074/5 + v. Find the common denominator of 79/28 and k.
252
Let i = -1911/22 + 17933/220. What is the common denominator of i and -15/32?
160
Let g(d) = 20*d - 179. Calculate the smallest common multiple of 379 and g(9).
379
Let z = -2639/3 - -18502/21. Calculate the common denominator of (-740)/66*(-1)/5 and z.
231
Let q = 1189/2 + -580. Let h be (-2)/8 - (0 - 39438/(-8)). Calculate the common denominator of q and (-2)/(-10) - h/1100.
22
Let j = -27 - -29. Suppose j*w = 3*p + 454, w = -p - 112 + 334. Calculate the common denominator of 4/(w/292) - -3 and 13/11.
154
Let u be ((-315)/(-20))/(3/12). Suppose 5*t - 2*c = -5*c + u, -20 = -2*t + 4*c. Calculate the lowest common multiple of 20 and t.
60
Let j be (-4 + 17/3)*-9. Let k(a) = a**3 + 14*a**2 - 16*a - 12. What is the smallest common multiple of k(j) and (-74)/(-8) + 3/(-12)?
9
Suppose -r + 137 = 2*l, 0 = -0*r + 2*r - 3*l - 267. Calculate the common denominator of (26/(-10))/(12/(-210)) and 6/r*(-20)/16.
18
Let c = 17 + -10. Suppose 2*u + 3*u + 2*k + 5 = 0, c = -4*u - k. Let y = u - -9. What is the least common multiple of y and 4?
12
Let c = 9214 - 101450/11. Let w = 86/11 + c. What is the common denominator of w and -34/9?
99
Suppose 3*j - 45 = 81. Calculate the smallest common multiple of 54 and j.
378
Calculate the lowest common multiple of -3 - -5 - (-209)/11 and 30.
210
Let r = 1315 + -6532/5. What is the common denominator of 4/(-18)*(-399)/14 and r?
15
Suppose 0 = 3*a - 4*n - 20, 10*a - 5*a + 5*n = 80. Suppose -5 = 3*u + 2*u. Let x = u - -5. Calculate the lowest common multiple of a and x.
12
Let q be ((-85142)/(-6))/((-28)/12). Let u = -6065 - q. Let j = u - 277/56. Calculate the common denominator of j and -11/8.
8
What is the common denominator of (237/8)/((-9)/(-2)) and ((-14)/(-147))/(5118/(-855) - -6)?
84
Suppose 4*h = 5*u + 15, -2*u = h - 4*u. Let r(q) = q**2 - 7*q - 2. Calculate the least common multiple of h and r(-1).
30
Suppose -g = d + 375, 0 = 5*g - d + 2083 - 208. Calculate the common denominator of 2/2 - g/126 and -69/22.
462
Suppose 9*y = 17*y. Suppose 0 = -4*z + 60 - y. What is the smallest common multiple of z and 27?
135
Let b be 14*29 - (-11 + 9). Suppose -v = -2*x + 164 + b, 0 = -5*v - x - 2915. Let m = -5275/9 - v. Find the common denominator of m and 49.
9
Suppose 5*p + 0*p + 3*g = 10, 4*g = -20. Let s be 5*(1 - 3/p). Suppose 26 + 6 = s*j. Calculate the smallest common multiple of 24 and j.
48
Suppose -88 = -4*q - 2*z, 104 = 5*q + 3*z + z. Let l = 36 - q. Suppose l = 4*d + 2*o, -6 = d + 5*o - 0*o. What is the least common multiple of 22 and d?
44
Let m be 9 + (-1 - (-3)/3). Let z(r) be the second derivative of r**5/20 - 3*r**4/4 + 6*r**2 + 115*r. Calculate the lowest common multiple of z(m) and 18.
36
Let i = 117 - 132. Calculate the lowest common multiple of 16 and 6*3*(-5)/i.
48
What is the least common multiple of 42 and (237 + 3)/8 + -12?
126
Let s = 2477/9 + -272. Calculate the common denominator of 151/18 and s.
18
Suppose -10*l + 4*l + 186 = 0. Suppose -3*b - 3*o + 4 = -2, 0 = -3*b + 2*o + l. What is the lowest common multiple of b and 2?
14
Calculate the common denominator of -107/260 and 61*(-10)/468*(-2)/(-10).
2340
Let w = -60 - -86. Let m = -4 + w. Calculate the smallest common multiple of m and 16.
176
Find the common denominator of 97/144 and 992/1736 - (-1 - 842/(-420)).
720
Suppose -6*a + a - 4*b = -109, b - 85 = -4*a. Let k = -3423 + 3435. Calculate the lowest common multiple of k and a.
84
Suppose a = -2*a + 6. Suppose -38*n - 16 = -396. What is the smallest common multiple of a and n?
10
Let u(r) = 2*r**2 - 8*r. Let q be u(6). Let d = q - 10. Let x = 96 + -92. Calculate the least common multiple of d and x.
28
Let l(x) = -x**3 - 3*x**2 - 3*x - 3. Let y = 773 - 479. Calculate the lowest common multiple of l(-3) and y.
294
Let g = 23746137/190 - 124980. Let q = 47/76 - g. Find the common denominator of 16/9 and q.
180
Suppose 5*v + 142 + 233 = -5*r, 4*r - v = -285. Calculate the common denominator of (1/3)/1 + 192/r and 37/5.
15
Let d = 1030 - 986. What is the least common multiple of d and 176?
176
Let r(g) = -g**3 - 67*g**2 - 70*g - 238. Suppose 2*t + 12 = 3*t. Calculate the least common multiple of r(-66) and t.
156
Let k(h) = -11*h**3 - 15*h**2 + 2*h + 45. Let a(x) = 5*x**3 + 7*x**2 - x - 22. Let v(c) = -13*a(c) - 6*k(c). What is the least common multiple of 16 and v(0)?
16
Let c be (0 - -34)*21/42. Suppose -c*g + 15*g + 8 = 0. Calculate the lowest common multiple of g and 4.
4
What is the common denominator of (-2)/8 - 107/24 and (-28)/(-504)*(-52)/(-6)?
216
Let s = 397816976273/18294054428 + 4126/1076881. Let w = 2/4247 + s. Calculate the common denominator of w and -91/2.
4
What is the least common multiple of 54 and ((12 - 18) + 88/12)*36?
432
Let t = -1009159/297774 - -2/16543. Calculate the common denominator of 7/15 and t.
90
Suppose -f - 2*s = -15, -3*f - 4*s - 18 = -53. Suppose 49*b + 29*b - 312 = 0. What is the lowest common multiple of f and b?
20
Let p(f) = 4*f**3 - 3*f**2 + 4*f + 2. Let j(g) = -4*g**3 + 3*g**2 - 3*g - 2. Let w(c) = -4*j(c) - 3*p(c). What is the lowest common multiple of w(2) and 14?
154
Let h(c) be the first derivative of -c**4/4 - 7*c**3/3 + 5*c + 12. Calculate the least common multiple of (4/(-6))/((-1)/15) and h(-7).
10
Let q = -102953 + 5868079/57. Let z = q - -7721/570. Calculate the common denominator of -33/8 and z.
40
Let o(y) = -y**2 - 6*y - 5. Let j be o(-5). Calculate the smallest common multiple of 21 and j - (110/(-9) + 8/36).
84
Let f be 162/(-21) + 4/(-14). Let q = f + 8. Suppose 0 = -2*i - q + 8. Calculate the least common multiple of 22 and i.
44
Let a be (0 - -2)/((-18)/81). Let d(l) = l + 9. Calculate the lowest common multiple of (6/(-8))/(a/12) and d(-7).
2
Let j(i) = 3*i. Suppose -3 = -3*t - 0*t. Let d be j(t). Suppose -3*h + d*v + 46 = -v, 0 = 2*h + 2*v - 26. Calculate the smallest common multiple of 16 and h.
112
Let w be (-4)/(-6) + 3388/(-42). Calculate the smallest common multiple of -2 + 9/((-36)/w) and 10.
90
Let u = -551449/22 + 25070. What is the common denominator of 44/(-40) + (1 - 0) and u?
110
What is the common denominator of 1*-1 - 6/(900/159) and -6/25?
50
Let t = 81 - 54. What is the smallest common multiple of t and 63?
189
Let l(f) = f**2 + f - 2. Suppose 18*s = 23*s - 10. What is the least common multiple of l(-4) and s?
10
Suppose -b - 5*i - 13 = 0, -3*b + 0*b + 5*i + 21 = 0. What is the smallest common multiple of b and 159?
318
Let v = 6/11 - -625/44. Let g = -5024381/20634 - -1/10317. Let h = 209 + g. Find the common denominator of h and v.
4
Let b be 8/(-3)*(-6)/4. Suppose -2*j + f + 7 = 0, -2*j + 16 = -0*f - b*f. Suppose -6*x + 7*x = 2. Calculate the smallest common multiple of j and x.
2
Let f = 2163332110573/11568 - 561030415/3. Let r = -1617/16 - f. Let d = r - -16581/964. Find the common denominator of -31/6 and d.
12
Let j(y) = -y + 7. What is the lowest common multiple of j(5) and (3 - (-20)/(-8))/(132/128 + -1)?
16
Let w = 860 - 310. Let y be w/(-30) + 1/3. Let x = 24 + y. What is the least common multiple of x and 24?
24
Let i be (-6)/12 - 81/(-2). Let s(w) = 3*w**3 - w**2 + w - 1. Let p be s(1). Suppose p*a - 6*a = -i. What is the smallest common multiple of 8 and a?
40
Let h = 4481452/185 - 24224. What is the common denominator of -24/55 and h?
2035
Let l(d) = 7*d + 7. Let v be l(-4). Calculate the smallest common multiple of 2 and 1 - (2 + v) - 2.
18
Let x = -365 + 437. Calculate the smallest common multiple of x and 32.
288
Let r be ((-2)/4)/((-2)/116). Let t = r - 15. Let u = 29 + -21. Calculate the smallest common multiple of t and u.
56
Suppose -2*f = 4, 4*k + 3*f - 84 = -k. Find the common denominator of 8 + -9 + 119/k and 121/36.
36
Suppose 3*v = 3*a + 8*v - 45, v + 27 = 3*a. Let n(b) = 17*b**2 - b. What is the least common multiple of a and n(-1)?
90
Suppose -4*r + 3*r = -5. Suppose 28 = r*u - 3*n, 2*u - n - 20 = -u. Wha