i. Let h = -6 - -8. Suppose h*d + 24 = 5*d. Calculate the lowest common multiple of i and d.
24
Let k be 12/5*5/2. Suppose 380 = -k*u + u. What is the common denominator of -47/10 and (28/(-144))/(2/u)?
90
Let k = 68 - -23. Let w = k + -3. Suppose -w = -5*s + 2. Calculate the smallest common multiple of 26 and s.
234
Find the common denominator of (-3)/(42/4) - 1623/126 and -41.
6
Calculate the common denominator of (-1626)/351 - (-6)/(30/25) and 1/45.
585
Let g(x) = -x**3 - 5*x**2 + 6. Let t be g(-5). Calculate the common denominator of 49/5 and (t/72)/((-4)/582).
40
Let i be (-1375)/(-155) - 2 - -1. Let q = i - 5059/434. Calculate the common denominator of 67/22 and q.
154
Suppose -337*z = -344*z + 1666. Calculate the smallest common multiple of 10 and z.
1190
Let k = -10080 - -241993/24. Find the common denominator of 3/(-18)*14*(-2)/(-22) and k.
264
Let v = 265 - -446. Calculate the least common multiple of 3 and v.
711
Let y = -7113/5 + 547546/385. What is the common denominator of -31/7 and y?
77
Suppose 0 = -3*b - 17 + 5. What is the common denominator of (-2)/b*(-594)/24 and (1116/15)/(-6) + 2?
40
What is the least common multiple of 3/2*(-200)/(-15) and 152?
760
Calculate the common denominator of (24/3 - 1)*7/(-30) and 61/100.
300
Let q(f) = -2*f**2 + 25*f + 25. What is the smallest common multiple of q(13) and 136?
408
Let l(q) be the first derivative of 8/3*q**3 + q + 3 - 1/2*q**2. What is the smallest common multiple of 6 and l(1)?
24
Let p(b) = 9*b - 18. Let o be p(-4). What is the smallest common multiple of (4/3)/((-3)/o) and 27?
216
Let i(s) = -15*s + 1. Let r be i(-3). Suppose -3*x + 310 = r. What is the smallest common multiple of 16 and x?
176
Let f = 12875/6 + -2138. What is the common denominator of -40/203 and f?
1218
Find the common denominator of 6/9*(-3)/6 and -2/7.
21
Let f be 6/(-2) + -2 + 93. Suppose -2*g - 2*j = -5*g + 59, -4*g - 2*j = -f. Let c = -4190/7 + 596. Find the common denominator of c and g.
7
Suppose -4*j + 68 = p, -2*j + 4*p + 67 - 15 = 0. Suppose s - 14 = j. Calculate the least common multiple of s and (2/2)/(10/60).
96
Let w = 6645 - 318971/48. What is the common denominator of w and -97/24?
48
Suppose 20 = -s - 5*v, 2*v - 10 = s + 5*v. What is the common denominator of 35/16 - (s - 5) and 53/20?
80
Let h = -500/11 - -5297/110. Let f = -7/26 + 166/13. Find the common denominator of f and h.
10
Let h be ((-4)/18)/(-1) - (-11270)/(-90). Let m = 497/4 + h. Calculate the common denominator of -25/6 and m.
12
What is the least common multiple of (-16)/36*3/4*-66 and ((-1)/2)/((-1)/36)?
198
Suppose 3*u - 1 - 32 = -l, -165 = -5*l + u. What is the common denominator of -19/27 and ((-135)/l + 4)/(9/(-141))?
297
Calculate the common denominator of -91/8 and (-4)/(-66) + (-11280)/1133550.
9160
Let q = -191/10 + 68/5. Find the common denominator of -15/98 and q.
98
Let c be 705/3*(-5)/15. Let z = c - -1106/15. Find the common denominator of 3/8 and z.
40
Let u(z) = 5*z - 22. Suppose -30 = -x - 5*x. Let v = 38 + -16. Calculate the least common multiple of v and u(x).
66
Suppose 12*m + 288 = -4*m. What is the common denominator of 5*(m/(-9) + 30/(-32)) and -47/26?
208
Let y(i) = 498*i**2 - 2*i + 1. Let b be y(1). Let q = -5921/12 + b. Let l = 219/8 - 61/8. What is the common denominator of q and l?
12
Suppose -4*k + 60 = -3*v, -5*k + 7*v + 75 = 8*v. What is the smallest common multiple of (3*-1)/(6/(-36)) and k?
90
Let f(c) = 3*c - 8. Let z(g) = g**2 - 15*g + 18. Suppose a + 28 = 3*a. Let s be z(a). What is the lowest common multiple of f(s) and 4?
4
Suppose 5*n + 38346 = 3*g, 2*g - 5*n - 24307 - 1257 = 0. Let b = g - 127711/10. What is the common denominator of b and -33/10?
10
What is the lowest common multiple of 12026/16 - 114/(-304) and 12?
2256
Let k = 7897622885/682 + -11580107. Let c = k - -398/31. Let p = -168543/14 - -12046. Calculate the common denominator of p and c.
154
Suppose 0 = 3*n - 5*d - 16, -3*d = 5*n + 32 - 104. What is the smallest common multiple of n and 11?
132
Let n = -4/6753 + 25317029/54024. Let l = n + -461. Calculate the common denominator of l and 17/18.
72
Find the common denominator of -41/90 and 1 - (-4*195/(-80) - -4).
180
Let s = 141812 - 28645967/202. Calculate the common denominator of 43/4 and s.
404
Let f(u) = -20*u + 4. Let t be f(-2). Suppose -t = -0*o - 2*o. Let m = 36 - o. Calculate the lowest common multiple of m and 22.
154
Suppose -8 = 4*l, -2*h - 59*l = -57*l - 152. What is the smallest common multiple of h and 52?
156
Let g = 19279/380 - 849/19. Suppose -4 = 3*i + i. Find the common denominator of g and (-130)/(-28) + i - 0.
140
Let z = -37985/16 - -2371. Let f = 33767053/3126 - 10802. Let i = f + 55745/6252. What is the common denominator of i and z?
48
Let p = -21 + 15. Let h be p/21 + (-2369)/210. Let k = h - -133/15. What is the common denominator of 73/20 and k?
20
Calculate the common denominator of (-888)/1470*(-45)/54 and -151/30.
1470
Let p(t) = t**2 + 5*t - 5. Let f be p(-5). Let w = f - -8. Let i = w + 3. Calculate the least common multiple of i and 14.
42
Suppose 2*d + 3*d = -4*y + 185, 38 = d + y. Let h(m) = -59*m - 1011. Let q be h(-17). Find the common denominator of -37/6 and (2/q)/(d/150).
66
Let h be 1 + 1951*(6 + -4). Let p = 46727/12 - h. Calculate the common denominator of p and -59/22.
132
Let p be 22/88 + (1979/(-816) - -1). Let h = p + 53/68. What is the common denominator of h and -43/4?
48
Let x(f) = -4*f + 38. Calculate the least common multiple of 4 and x(7).
20
Let c = 520 - 36. Suppose u + y = -c - 1556, -10204 = 5*u + y. Calculate the common denominator of (-4)/(-6) - u/(-156) and 37/14.
84
Let q be ((-2)/(-3785))/(21/420). Let f = q + 23371/9084. Find the common denominator of 2/(-6) - (-393)/72 and f.
24
Let f = 1523 - 1517. What is the smallest common multiple of 524 and f?
1572
Let i be 2 - (1 - -1) - 0. Suppose i*j + 2*j + 5*p = 42, 2*p + 60 = 4*j. What is the least common multiple of j and (32/12)/((-4)/(-6))?
16
Let u = 109155/22 - 4959. Find the common denominator of u and (3/(-180))/(4 - 873/218).
330
Let b be 42/8 + 1/(-4). Suppose b*w - 78 = 2*w. Let f = -16 + w. Calculate the lowest common multiple of f and 22.
110
Let c be -5 - -1*505/20. Let r = c + -20. Find the common denominator of 17/20 and r.
20
Let t be (12/(-15))/((-6)/15). Let p be -1 - (t - (-26 - -1)). Let m = -17 - p. What is the lowest common multiple of m and 1?
11
Suppose -2*p = 2*y - 8, 0*p + p + 23 = 2*y. Suppose -2*n + 33 = y. Let h = 24 - n. What is the least common multiple of h and 2?
12
Let j = -20719/558 - -891/31. Calculate the common denominator of -93/4 and j.
36
Let l = 1219205/88 - 13854. What is the common denominator of l and -9/55?
440
What is the common denominator of ((-186)/(-30))/(0 - (-12)/5) and -167/330?
660
Let k = -108508404/5005 + 21680. Let q = 4361683706 + -43660453976417/10010. Let r = q + k. Calculate the common denominator of r and -29/12.
84
Suppose -5*r + 129 = i - 132, -4*i + 5*r = -919. Let w = -1391/6 + i. Calculate the common denominator of (1 - -3)*-1*3 and w.
6
Find the common denominator of 29/15 and 508/(-1602)*(-21)/(-28).
2670
Let b = -10 + 15. Suppose 8814 - 394 = b*j. Let z = 10193/6 - j. Find the common denominator of 7/3 and z.
6
Calculate the common denominator of (3/(-40))/(6 - 5192/864) and -63/10.
10
Suppose -4*m = -2*t + 3*t + 19, -2*t - 8 = 2*m. Calculate the least common multiple of t and 1.
1
What is the common denominator of 1 + -1 + (-517)/330 and (-11)/(-198)*69/(-4)?
120
Calculate the common denominator of (-13)/(-15) + (-254)/(-127) and -88/45.
45
What is the common denominator of (1 - (-39)/(-22)) + -1 and (-1)/51*6 - 1675/68?
44
Suppose -3*r = 3*b - 17 - 34, -6 = -2*r. Calculate the smallest common multiple of 30 and b.
210
Let w = -171/119 + 3061/6188. Calculate the common denominator of -65/12 and w.
156
Let p(d) = 964*d - 1912. Let k = -23 + 35. What is the smallest common multiple of p(2) and k?
48
Let k be (-3*1)/((-10)/20). Suppose 0 = 2*o - k - 2. What is the common denominator of -41/16 and (-1046)/208 + o/26?
16
Let x(w) = -w**3 + 8*w**2 + 3*w - 9. What is the lowest common multiple of (2/(-9))/((-27)/243) and x(8)?
30
Suppose 7*m - 4081 = -1169. Calculate the smallest common multipl