 73/30.
120
Suppose -44 = -4*k - 4*u, -4*u = -5*k - 5*u + 75. Let t = -25 + 21. Let f = k - t. Calculate the smallest common multiple of 10 and f.
20
Suppose 5*x + l - 62 = 0, -4*l - 3 = -11. Suppose 4*h + 4*v - x = 0, -2*h + 6*h = 3*v + 33. What is the smallest common multiple of 27 and h?
54
Suppose -20 = -4*l - 2*g, -l - 5*g - 28 = -4*l. What is the common denominator of -65/4 and -1*((2 - 0) + (-77)/l)?
12
Let x = 99 - 90. Suppose x = -9*m + 360. Let b(a) = -a**2 + a + 9. Calculate the lowest common multiple of m and b(0).
117
Calculate the common denominator of (2145/4235)/(2/7) and -11/268.
2948
Let w = -879 + 52741/60. Calculate the common denominator of 89/12 and w.
60
Suppose 21 = 5*g + 5*a - 9, -5*a + 20 = 0. What is the common denominator of (4/(-16))/(g/(-3)) and -5/9?
72
Find the common denominator of (-6 + 37/(-4))/(21/2) and -91/18.
126
Suppose 0 = -3*z + 5*q + 10, 0 = -2*q + 3 - 1. Suppose 5*x - 25 + 250 = -z*g, 47 = -g - 3*x. Calculate the common denominator of 29/18 and -1 - 9*g/(-80).
180
Calculate the common denominator of (-20)/16*(-212)/10 and 75/26.
26
Let k = -10 + 8. What is the least common multiple of 10 and k + -1 + 2 + 6?
10
Let b be -3*(-4)/(-6)*16. Let a = b + 36. Calculate the smallest common multiple of a and 18.
36
Let p(j) = 21*j + 167. Calculate the smallest common multiple of 5 and p(19).
2830
Suppose 2*j - 18 + 8 = 0, 0 = c - 2*j - 48. Let t = c - 52. Calculate the least common multiple of 15 and t.
30
Let n = -3 - -5. Suppose -j + 244 = 5*f, 4*j - 108 - 52 = -3*f. What is the least common multiple of n and (0 - f/(-6))/((-4)/(-6))?
12
Let g be (6332/(-8) + -2)/(-24). Let f = g - 5617/144. What is the common denominator of 45/92 and f?
828
Suppose z - 14 = 5*y, y = 5*z - 2 - 20. Suppose 2*j + 2*j - p = -83, -z*j - 71 = 3*p. Find the common denominator of -23/9 and j.
9
Let l = -338 + 3703/11. What is the common denominator of -3*(-1)/24*-39 and l?
88
Suppose 2*z + 28 = 2*l, 0*l - 2*l + 14 = 5*z. Let o(y) = -y**3 + 3*y**2 + 2*y + 2. Let c be o(4). Calculate the least common multiple of 36/27*c/(-4) and l.
12
Let j = -44/3 + 61/12. Let x = 100 - -161. Let o = -511/2 + x. Calculate the common denominator of j and o.
12
What is the common denominator of -41/2 and (-184)/276 + ((-1028)/(-1461) - 0)?
974
Let h = -227 - -1813/8. What is the common denominator of 18/63 - ((-566)/364 - (-12)/21) and h?
104
Suppose 23 = 5*q - m - 80, 51 = 3*q + 3*m. Let k(l) = -l + 27. Let t be k(5). Calculate the lowest common multiple of (-1 - (-3)/(-9)*3) + t and q.
20
Let y = -10 - -18. Suppose 0 = -c - 0*c + y. What is the lowest common multiple of c and (-141)/(-12) + (-3)/(-12)?
24
Let j = 43 + -33. Calculate the lowest common multiple of 5 and j.
10
Let b = 0 + 1. Suppose -2*m + 3*o - o - 2 = 0, 4*o - 3 = 3*m. Let j(t) = -12*t - 4. What is the least common multiple of j(m) and b?
8
Suppose q = 4*n + 5*q - 96, 4*q = 2*n - 48. Let j(i) = -4*i - 1. Calculate the lowest common multiple of n and j(-4).
120
Let f = 210103/20 + -10503. What is the common denominator of 55/196 and f?
980
Let v(r) = -6*r**2 + 18*r - 1. Let s(i) = -5*i**2 + 17*i. Let f(d) = 5*s(d) - 4*v(d). What is the lowest common multiple of 8 and f(13)?
8
Let x(y) = -y**2 + 16*y - 9. Let i be x(15). Suppose 2*f + 24 = i*f. Calculate the lowest common multiple of 5 and f.
30
Let c = 178567/34 - 5250. Calculate the common denominator of c and -32.
34
Suppose 5*j + 2 = 27. Suppose 5*m - 3*m + 14 = -j*g, 0 = -g + 2*m + 2. Calculate the smallest common multiple of 2 and (3/3 + g)*-4.
4
Calculate the smallest common multiple of 9 and (48/(-192))/((-2)/96).
36
Let v = 32 + -62. What is the smallest common multiple of (-2)/(-4) + 13/2 and v/4*34/(-51)?
35
What is the least common multiple of 6 and 2/(12/(-15))*(-24)/5?
12
Suppose -16*r = -1234 - 1358. What is the smallest common multiple of r and 12?
324
Suppose -5*w + 46 = -4*v, 0 = -4*w - v + 18 + 2. Let y(u) = 3*u**2 + 90*u + 176. Calculate the smallest common multiple of w and y(-2).
24
Suppose -9 - 6 = -f. Suppose -f*m + 70 = -m. Suppose -4*y + 113 = -0*y - n, 0 = -3*y + 2*n + 81. What is the lowest common multiple of m and y?
145
Let m = -7865/2 - -4006. Let t = -75 + m. Let w = 55/58 + -10/87. Find the common denominator of w and t.
6
Find the common denominator of (45/(-25))/((-42)/(-15)) and 71/54.
378
Calculate the lowest common multiple of 104 and 60/14 - (2 + 48/(-28)).
104
Suppose -4*l + 17 = -67. Let s = l + -12. What is the lowest common multiple of 33 and s?
99
Let r(a) be the third derivative of a**5/20 - a**3/6 - 6*a**2. What is the least common multiple of 5 and r(2)?
55
Let h = -26542/3981 - -2/3981. Find the common denominator of ((-312)/(-140))/((-8)/30) and h.
42
Let i = -484/3 + 1777/12. Calculate the common denominator of i and 79/334.
668
Let l be (-2)/(-4) + 9/6. Let k(n) = n**3 + 13*n**2 - 28*n + 35. Let h be k(-15). Suppose 11 = l*x - h. What is the smallest common multiple of x and 6?
24
Suppose 5*s - 6*s - 8 = 0. Calculate the common denominator of -1/18 and s/6*(-22)/12.
18
Let r(w) = -22*w**3 + 4*w**2 - 5*w. Let s be r(3). Let k be 1 + 3 + s/18. Let v = k + 94/3. Calculate the common denominator of v and 113/14.
14
Suppose -14*j = -13*j - 392. Suppose -j*z + 230 = -387*z. What is the lowest common multiple of 10 and z?
230
Let i = -759 + 7581/10. What is the common denominator of i and -23/11?
110
Let u(q) = q**3 - q**2 - 10*q + 2. Let g be ((-1)/2)/((-2)/144). Let y = g + -16. Calculate the smallest common multiple of y and u(4).
20
Let u = 229 + -223. What is the smallest common multiple of u and 24?
24
Let x(l) = l**2 - 36*l + 92. Calculate the lowest common multiple of 12 and x(0).
276
Suppose 4*d - 96 = 96. What is the least common multiple of d and 416?
1248
Suppose 0*y = -3*k - 2*y + 214, 0 = -5*k + y + 361. Let z be k/60 - (-1)/(-5). What is the common denominator of z*-2 + (-348)/(-88) and 119/18?
198
Let n be -3 - (3 - (-5 - -5)). Let q(j) = -7*j. Calculate the lowest common multiple of q(-1) and (9*(n + 5))/(-1).
63
Let x be 438/11 + (-26)/(-143). Calculate the common denominator of -1/4 and (-422)/x + (-7 - 81/(-12)).
20
Suppose 4*w - 2 = -2*o, o - 4*w = -0*o - 11. Let s = 7 - o. What is the smallest common multiple of s and 2/(-4) - 10/(-4)?
10
Calculate the common denominator of -37/180 and 136/(-17) + (-409)/(-30).
180
Let a = 20 + -16. Suppose 0 = -4*k - 3*w + 164, 3*k = 4*k - a*w - 60. What is the common denominator of -1 + (78/k)/(-3) and -19/20?
220
Suppose -94*v + 20 = -90*v. Suppose 3*d + 4 = 3*k + 34, 4*k - 5 = -5*d. What is the smallest common multiple of d and v?
5
Suppose -5*o + 22 = 2*a - 0, 5*o = 2*a - 42. What is the least common multiple of a and 22?
176
Calculate the common denominator of (-196)/8*(-6)/12*-1 and 127/18 + 0/(-2).
36
Suppose 123*m + 4*j - 52 = 122*m, 5*m = 4*j + 188. What is the lowest common multiple of 32 and m?
160
Let g(f) = -248*f - 2. Let p be g(-1). Find the common denominator of 76/3 and 5 + p/(-66) + 2.
33
Suppose -2*a + 3*j = 17, -2*j = 3*a - 5*j + 24. What is the lowest common multiple of 6 and (a/(7/(-5)))/(1/10)?
150
Let r(d) = -d**2 + 6*d + 10. Let a be r(-3). Let s = 17182/7 + -2448. Find the common denominator of s and (-2)/(-2)*(0 + a/(-5)).
35
Let q(z) = z + 14. Let w be q(-14). Suppose 4*n + 2*p - 152 = -0*p, w = -4*p. Calculate the smallest common multiple of n and 4.
76
Suppose 2*n - 45 = -0*n - 5*f, -4*n - f + 81 = 0. Suppose u - 47 = i, -5*i + u = 5*u + 244. Let k = -28 - i. What is the least common multiple of k and n?
20
What is the common denominator of -131/18 and (-150)/1650 - 1295/(-2024)?
1656
Suppose 69 = -5*x + 4*g - 95, 2*x + 2*g + 80 = 0. Let f(y) = -14*y + 56. Let c be f(6). Let b = c - x. What is the smallest common multiple of 6 and b?
24
Let w(y) = -y**3 - 12*y**2 + 8*y + 1. Let p be w(-12). Suppose -2*r = -0*r - 74. What is the common denominator of 76/p*170/4 and r?
1
Let f(c) = -c**3 + 12*c**2 - 27*c + 10. What is the smallest common multiple of f(9) and 105?
210
Suppose 3*t - 205 = -5*v, 0 = 2*v + t - 28 - 54. Suppose 4*c = 3*y + v, 0 = 5*c - 0*y - 5*y - 50. Calculate the smallest common multiple of 1 and c.
11
What is the least common multiple of 378 and 124/8 + 1/4*2?
3024
Suppose 9*u + 10*u = 197