- 7*k - 3. Calculate the smallest common multiple of 8 and h(9).
8
Suppose 3*c - 68 = 7. Let i = -9 - c. Let q = i - -50. Calculate the smallest common multiple of q and 10.
80
Let a be 155382/(-17892) - (-3)/9. Let z = a + -11/142. Calculate the common denominator of 3025/70 + (-2)/(-7) and z.
14
Let n(a) = -28*a - 782. Let v(b) = b**2 - 2*b + 2. Calculate the least common multiple of v(4) and n(-30).
290
Suppose 0 = -3*m - 3*g + 378, -m + 3*g + 348 = 2*m. What is the smallest common multiple of 33 and m?
363
Let x be (3 - (-82)/(-28))*32772. Let f = x + -6908/3. Let j = f + -5437/210. Calculate the common denominator of 21/2 and j.
10
What is the common denominator of 9/106 and (5 + (-30)/(-96))*2?
424
Let a = 2466/11 + -225. Let m = -885094 + 79659283/90. Let q = -57/10 + m. What is the common denominator of q and a?
99
Suppose -56*y + 36 = -52*y. Suppose 0 = -4*j + 49 - y. What is the smallest common multiple of j and 12?
60
Let l = -262 + 533. Suppose -2*b - 286 = -3*d, 5*d + l = -4*b + 711. What is the least common multiple of 22 and d?
1012
Let t(f) = 2*f - 28. Let v(m) = 6*m - 85. Let w(c) = -17*t(c) + 6*v(c). What is the lowest common multiple of 8 and w(20)?
24
Calculate the common denominator of 73/2*(-3)/(-30) and (-1179)/(-5240)*(0 - 18).
20
Calculate the common denominator of 12/(-8) + (-106)/(-16) and ((-2)/(-4))/((-1)/39).
8
Let h be (7/(-56))/((-218)/(-20)). Let q = h - -22469/1308. What is the common denominator of 6/(-21) + (-202)/(-28) and q?
42
Suppose 11*z - 127 = -50. Let k(x) = -x - 4. Let u be k(-4). Suppose -4*j + u = -12. What is the least common multiple of j and z?
21
Let u(f) = -2*f**2 + f**2 + 6 + 7 - 13*f**3 - 12. Let m be (-2 - (1 - 2)) + 0. What is the lowest common multiple of u(m) and 1?
13
Suppose -65 = 3*n + 2*n. Let w(j) = j + 27. Calculate the lowest common multiple of 26 and w(n).
182
What is the common denominator of 5/20 + (-595)/360 and -121/72?
72
Suppose 19 = -5*c - 486. Let o = 37 + c. Calculate the common denominator of 77/34 and (-580)/45*60/o.
204
Let f(q) = q**2 + 28. Let x be f(0). Suppose 0*a - 2*a - w - x = 0, -40 = 3*a + w. Calculate the least common multiple of -4*(0 - (-33)/a) and 11.
11
Let o(m) = 4*m**2 + 9*m + 3. Let j be o(-4). Suppose -2*q + j = -5*b, -5*q + 2*b - b = -20. Calculate the lowest common multiple of 6 and q.
6
What is the smallest common multiple of 157 and 1272/120 - 8/5?
1413
Let c(w) = -w**2 + 3. Let v be c(2). Calculate the common denominator of -97/30 and (v + 177/81)/(1/(-6)).
90
Suppose -w = -19 - 5. Calculate the least common multiple of 1 - (17 - 0)*-1 and w.
72
Let i(d) = -d**2 + 39. Let a be i(0). Let v = 7331/6 + -1243. Find the common denominator of (-12)/(-9)*a/(-18) and v.
18
Let v = 20 - 10. Let t(s) = -s**3 + 10*s**2 - 2*s + 23. What is the smallest common multiple of (-9)/3 - -10 - -3 and t(v)?
30
Let l(i) = 14*i - 360. What is the lowest common multiple of 40 and l(28)?
160
Suppose -10*o + 9*o - 1 = -3*r, -8 = 4*r + o. What is the lowest common multiple of (r/(-3)*6)/1 and 31?
62
Let f be -4 + 4/((-57952)/(-57948)). Let s = -66098/12677 + f. What is the common denominator of s and -115/6?
42
Suppose 2*p - 47655 = v, -3*p + v + 0*v + 71484 = 0. Let w = p - 3765013/158. Calculate the common denominator of w and -59/20.
1580
Let c be (1096/16)/((-14)/(-1366)). Let s = -20045/3 + c. Find the common denominator of -151/6 and s.
42
Let u be (0 + (-1 - -2))*15. Find the common denominator of 270/(-4)*(-4)/220 and (u/18)/((-8)/(-21)).
176
Let c(n) = n - 1. Let o be c(-1). Find the common denominator of (49/(-21))/(10/33) and (1 + 1/o)*(-7)/(-10).
20
Let x(b) = -6*b + 158. Calculate the smallest common multiple of 210 and x(8).
2310
Let i = -5173/268 - 30/67. Let f = -146843/14 + 10496. Calculate the common denominator of i and f.
28
Let f be -2 - 0 - ((-25)/5 - -7). Calculate the smallest common multiple of 2*(-23)/8*f and 1.
23
Suppose -4*c + 0*c = -220. Suppose 5*r = -0*r + c. Calculate the least common multiple of 2 and (19 + -16)*r/3.
22
Suppose d = 5*d - 3*g + 284, 3*g + 160 = -2*d. Let y = d + 80. Calculate the smallest common multiple of 2 and y.
6
Suppose -6*w + w - 15559 = 4*x, 5*x - w + 19456 = 0. Let p be x/(-19605) - 3/15. Let y = 69263/5228 - p. Find the common denominator of y and -97/10.
20
Suppose 0 = i - 5*y - 26, y = -4*i - i + 26. Suppose 3*a = i*a - 36. Calculate the lowest common multiple of 3 and a.
12
Suppose 8*i - 3*i + 55 = 0. Let t(n) = -n**3 - 12*n**2 - 16*n - 3. What is the least common multiple of 20 and t(i)?
260
Let i(k) = 2*k**3 - 2*k**2 + 1. What is the smallest common multiple of (-10)/6*(2 - 8) and i(1)?
10
Let r(q) = -11*q - 2. Let s = -23 + 22. Calculate the lowest common multiple of 12 and r(s).
36
Let m = 647 - 1229/2. Calculate the common denominator of m and ((-6)/(-5) + -1)/((-3)/(-69)).
10
Let c = -7998603/21016 - -26716/71. Let p = 30/37 - c. What is the common denominator of 42/11 and p?
88
Let r(x) = -x - 7. Let f be r(-2). Calculate the least common multiple of (0 - f - -11) + -3 and 11.
143
Let b(y) = -37*y - 85. What is the lowest common multiple of 63 and b(-4)?
63
Calculate the common denominator of ((-30)/(-120))/(8/(-91)) and -83/40.
160
Let i = 607/8 + -67. Let c = -82/373 - 50863/4476. Find the common denominator of c and i.
24
Suppose -4*m + 8 = -0*m. Calculate the common denominator of 4/(-6) + (-82)/6 and (-12)/32*m - 16.
12
What is the common denominator of (-30)/(-204)*(-235)/250 and 16/11?
3740
Let j = 51 - 11. What is the smallest common multiple of j and 5?
40
What is the smallest common multiple of (-1)/15 + (-1020726)/(-1890) and 12?
540
Suppose 57 = 5*l - 13. Let f = 0 + l. Calculate the least common multiple of f/4 - (-1)/(-2) and 5.
15
Let s = -1/171 + -7883/6840. Calculate the common denominator of 151/60 and s.
120
Suppose 2*f - 135 = 3*x, 0 = 44*f - 40*f + x - 249. What is the lowest common multiple of f and 27?
189
Calculate the smallest common multiple of 9 and (237/2 + 0)*(-1384)/(-1038).
1422
Suppose -3*a = 3, 2*n + 2*a - 9 = -11. Suppose -8 = -w - z - n, w - 2*z = 14. Calculate the least common multiple of w and 2.
10
Let v = -747 + 795. What is the least common multiple of v and 20?
240
Find the common denominator of 5/44 and (-15)/10*34/(-4).
44
Let q = -539/2 - -3341/12. Find the common denominator of q and (-8)/32*8/5 - (-22)/(-2).
60
Suppose -8*r - 2*y - 76 = -9*r, -r + 88 = y. What is the least common multiple of r and 22?
924
Suppose -5*m + 2*n + 48 = 0, -5*m + 4*n - n + 52 = 0. Calculate the least common multiple of m and 23.
184
Let j = -53 + 48. Calculate the common denominator of -35/18 and (-125)/6 + 20/j.
18
Let f(q) = -q**3 - 17*q**2 - 54*q - 79. What is the smallest common multiple of 9 and f(-14)?
801
What is the common denominator of 81/116 and 3 - ((-465)/22)/(-3)?
1276
Let w(u) = u**2 + 2*u + 1. Let j be w(-2). Suppose -2*g = -v + 4, -2*g + 9 = j. What is the least common multiple of 2 and (-1)/6 + 290/v?
24
Suppose 0 = 215*c - 219*c + 120. What is the least common multiple of c and 18?
90
Let r = 39048 + -48927140/1253. Find the common denominator of r and 11/7.
1253
Suppose 14*g - 204 = -3*g. Find the common denominator of 590/(-105) - g/(-9) and 1 + 26*2/5.
35
Suppose h = 2*a + a - 17, 2*h - 22 = -2*a. Let w(i) = -i + 2. Let u(g) = -g + 3. Let r(o) = 5*u(o) - 6*w(o). Calculate the lowest common multiple of 1 and r(a).
10
Let i(v) = 15*v**2 - 1. Let u be i(1). What is the least common multiple of 18/21*(5 + 2) + 1 and (-14)/21*(-1 - u)?
70
Let x = -97917/28 + 3495. Calculate the common denominator of 125/6 and x.
84
Let o = 233 - 217. Calculate the least common multiple of o and 72.
144
Let d be (4 - (-108)/(-30))/(384/(-10570)). Let i = -5/32 + d. Let o = 1/1883 - 65914/16947. Find the common denominator of i and o.
18
Let u = -231/19 - -18306/1501. Let f = u + 623/237. Calculate the common denominator of f and -47/30.
30
Let k be (-76)/(-1) - 24/6. Let m be 1/((-75)/k - -1). Let b = m - -40. Calculate the lowest common multiple of 10 and b.
80
Let t(o) = 31*o - 57. Calculate the smallest common multiple of 27 and t(2).
135
Let x = 210 - 207. What is the least common multiple of x and 7?
21
Let a = -14 - -4. Calculate the common denominator of -89/2 and ((-1