 b*n - 2*k = 50. Calculate the smallest common multiple of 18 and n.
90
Suppose 3*u - 3*q = 7*u + 47, -4*u - 41 = 5*q. Calculate the common denominator of 39/10 and (2/u)/((-7)/(-322)).
70
Let q = 1820389 + -18234011/10. Let z = -2948 - -5955. Let l = q + z. What is the common denominator of l and -31/10?
10
Let w be (-1451913)/(-60)*5/(-5). Let f = w - -24193. Find the common denominator of f and 49/8.
40
Let o = -7 - -28. Let r = 35 - o. What is the smallest common multiple of r and 4?
28
Suppose 24*f = 19*f + 110. Calculate the least common multiple of 8 and f.
88
Let x = -10500 + 188947/18. Calculate the common denominator of x and -13/6.
18
What is the common denominator of (-366)/(-96) - (0 + 1) and -79/4?
16
Let v(p) = 169*p**2 - p + 2. Let t be v(2). Let h = -31769/47 + t. Let n = h - -408/235. What is the common denominator of n and 14/3?
15
Let f = -3751 - -22633/6. Let l = 3363 + -144647/43. Let v = l + 79/430. Calculate the common denominator of v and f.
30
Calculate the common denominator of 5/32 and (-6 - 162/(-24))*(-178)/(-9).
96
Suppose 5*q = -5*g + g + 54, -26 = -q + 3*g. What is the smallest common multiple of q and 18?
126
Let b = -11 + 58/5. What is the common denominator of (-330)/(-8)*(-2)/(-10) and b?
20
Let q = 3229 + -32241/10. Find the common denominator of -77/10 and q.
10
Calculate the common denominator of (-26)/280 - 64/80 and -85/44.
308
Let y(p) = -p**2 + 4*p - 1. Let k(s) be the first derivative of -s**2 - 6*s - 1. Let c be k(-4). Calculate the least common multiple of y(c) and 3.
3
Let c be -9 + 6 - (4 + -1). Find the common denominator of c/5*7/4 and -37/18.
90
Let g = 4 - 0. Suppose -1 = -2*i - g*q - q, -5*q - 15 = 0. Suppose -3*n = -5*a - 5*n + 19, -4*a + 20 = 4*n. What is the smallest common multiple of a and i?
24
Let i be (-1)/(3/33)*-4. Let j = i + -167/4. What is the common denominator of j and -15/11?
44
Let y be 290/(-10) - (0 - -1). Let b = -10 - y. Calculate the smallest common multiple of b and 22.
220
Let r = -1996 + 7893/4. Calculate the common denominator of 7/18 and r.
36
Let n be (-5)/(-3) + 3/9. Suppose 4*q - 3*l - 36 = l, 48 = n*q + 4*l. Find the common denominator of q*3/(-2) - -2 and 42.
1
Suppose -2*k = 2*k + 2*s - 234, -3*k + 172 = -2*s. Let b = -15 + k. Suppose -2*n + 7 - b = 0. What is the common denominator of n and -14/3?
3
What is the common denominator of 13/12 and (-47)/(-10) - (-28)/7?
60
Let w = 33 + 7. Suppose w = o + 4*o. Let k = -5 - -13. What is the smallest common multiple of k and o?
8
Suppose 39 = 3*g - 9. Let p be -2*((-138)/4)/3. Suppose 0 = 2*u + 3*a - p, -5*u + 25 - 10 = -a. What is the smallest common multiple of u and g?
16
Let w = 38 + -25. Calculate the least common multiple of w and 2.
26
Let s(y) = 0*y + y + y - 7*y**2 + y**3. Let j be s(6). Let z = 42 + j. Calculate the smallest common multiple of z and 4.
36
Calculate the common denominator of 0 - ((93/16)/3 - -4) and 4/14 - (-1718)/(-280).
80
Suppose -s = -5*y + 10, 5*s = -0*y - 2*y + 4. Suppose y*w + 3*o + 5 = -2*w, 4*o + 15 = 3*w. What is the smallest common multiple of w and 4?
4
Let c = 2206/3 - 30539/42. What is the common denominator of -131/12 and c?
84
Calculate the lowest common multiple of (-1 - 17)*(-18)/12 and 15.
135
Calculate the common denominator of 68/(-80) + 2 - -1 and -33/8.
40
Suppose 3 = -f + 1, 2*f = -2*n + 26. What is the lowest common multiple of 18 and n?
90
Let u = -96312/43673 + -3/5138. Find the common denominator of u and -9/4.
68
Let t(f) = 5*f**2 - 4*f + 3. Let c be t(2). Suppose -c = 4*w - 7*w, 0 = 4*v + 4*w - 52. What is the smallest common multiple of v and (-2 - -2) + 16/1?
16
Suppose -2 = -4*g - p, 6 = g - 3*g - 4*p. Calculate the lowest common multiple of 8 and g.
8
Calculate the common denominator of 81/(-24)*(57/(-18) + 3) and 59/4.
16
Calculate the common denominator of 13/2 and (-27)/135 - 654/(-20).
2
Let v be (-6)/(-10) + 35/25. Calculate the common denominator of -9/5 and v + (-61)/11 - -2.
55
Suppose -5*f = i - 24, -2*i = -3*f - 0*f + 4. Suppose -x = -4*v - 0*v - 8, -f*x + 2*v = 38. Calculate the common denominator of (28 - 1)/((-40)/x) and 27/4.
20
Let b be 3/16*4/5970. Let h = 963198019/94012376 - 8596/59053. Let g = b + h. Find the common denominator of g and 79/4.
20
Calculate the lowest common multiple of (-22)/(3/(-6)*2) and 4.
44
Suppose 36 = -2*u + 4*u. Suppose 2*z - x + 6 - 32 = 0, 60 = 5*z - 5*x. What is the lowest common multiple of z and u?
126
Let d(o) = -o. Let x(l) = -3*l - 4. Let a(w) = 4*d(w) - x(w). Let n be a(3). Calculate the lowest common multiple of (-2 + 1 - n) + 11 and 11.
99
Let k = -78 + 177. Suppose 4*i = i - k. Let s = 463/14 + i. Find the common denominator of s and -3/10.
70
Suppose -2*t + 3*s = 2 - 41, -87 = -5*t - 3*s. Let n(i) = 4*i - 2. Let l be n(3). Let v = l - -12. Calculate the least common multiple of v and t.
198
Let v be 3/(18/(-76))*3. Find the common denominator of ((-218)/(-120))/((-1)/3) and 0 + v*(-3)/12.
20
Let q(d) = d**3 + 7*d**2 + 6*d + 7. Let z be q(-6). Suppose z = -3*i + 55. Suppose b = -2*b + 6, 5*b = 2*n - 18. What is the least common multiple of n and i?
112
Suppose -4*o = -o + 42450. Let u = o + 8489. Let i = -45381/8 - u. Calculate the common denominator of i and 99/10.
40
Let i = 406/27 + -725/54. Find the common denominator of 25/18 and i.
18
Let m be (-2 + 2 - 0)/(-1). Find the common denominator of -19/12 and ((-102)/4)/(m + -9).
12
Let l = -3042057731/477119 + 2/4294071. Suppose 2*g - 5973 - 6765 = 0. Let j = l + g. What is the common denominator of j and 74/9?
9
Let s = -1341/10 - -136. Let d = 1589/8 - 209. Calculate the common denominator of s and d.
40
Let d = 20509/72 + -2648/9. Let h = -2/4207 + -30649/4207. Calculate the common denominator of h and d.
56
Suppose -2*m + m = -5. Suppose -v - 15 + 21 = 0. Suppose -4*i = 2*n, -i + v = m*n + 3*i. Calculate the lowest common multiple of n and 3.
6
Let m be -1 + 0 + 1/1. Suppose -a = -m + 1. Calculate the common denominator of 0/a - 39/14 and -121/20.
140
Suppose p - 2*x + 8 = -0*x, -p + 17 = 3*x. Calculate the common denominator of -99/2 and (2 - 17/(-14)) + p.
14
Let g be 1203/(-6765) + (-2)/(-10). Let i = g - -31881/6314. Let d = 1827/41 + -5/82. What is the common denominator of i and d?
14
Calculate the common denominator of 13/4 and 898/(-220) - (-15)/(-25).
44
Let k be (-3)/(3 + 0) + 9. Let t = k - 5. What is the least common multiple of t and 7?
21
Let a = 290 + -156. What is the common denominator of a*1/12*-1 and -125/18?
18
Suppose 24 - 4 = 2*f. What is the lowest common multiple of (1/2)/(8/192) and f?
60
What is the smallest common multiple of 8 and 2 - ((-2)/1)/1?
8
Let b = 3 + 4. Let j = b + -5. What is the least common multiple of 2 and j?
2
Suppose 0 = 2*c - 7*c + 25. Calculate the least common multiple of c and 12.
60
Suppose -17*c + 836 = 21*c. What is the smallest common multiple of 2/(-3) + (-50)/(-3) and c?
176
Suppose -6*z + z + 4365 = 5*h, 0 = 3*z - 5*h - 2651. What is the common denominator of 10/45 + z/(-18) and 406/24 - 2/(-6)?
4
Let t = 1215/106 + -398287/212. Let d = t - -1847. Find the common denominator of d and 91/4.
4
Let o be 2 + 0 - (1 + -3). Suppose o*p = -42 + 114. What is the least common multiple of p and 16?
144
Let p(s) be the second derivative of -s - 1/2*s**2 + 3/4*s**4 + 0 + 1/6*s**3. Calculate the lowest common multiple of 5 and p(1).
45
Let m(x) = 9*x + 7. Let i(d) = 8*d + 6. Let r(u) = 6*i(u) - 5*m(u). Calculate the smallest common multiple of 2 and r(5).
16
Let u(d) = d. Let r(i) = -i**3 + 2*i**2 + 4*i - 2. Let k(t) = -r(t) + 2*u(t). Suppose 5*m = m + 12. What is the lowest common multiple of k(m) and 9?
45
Let a = -40 + 48. Calculate the least common multiple of a and 22.
88
Let s(f) = -5*f - 7. What is the common denominator of 11/4 and s(3)?
4
Calculate the common denominator of 2139/2700 - (-3)/(27/(-2)) and 41/10.
100
Let u = 62/21 - -41/420. Calculate the common denominator of u and -31/20.
20
Suppose 5*s - 87 = -7. What is the least common multiple of 26 and s?
208
What is the common denominator of 47/(-18) - 20/4 and -1/15?
90
Suppose -24*f + 14*f + 20 = 0. Calculate the least common multiple of (2 - 6/(-5))*5 and f.
16
Let u(o) = 17*o**3 - 2*o**2 + 1. Suppose -4*s = 2*s - 96. What is the le