 multiple of m and l?
15
Let k be ((-3)/(-6))/(((-3)/20)/3). Let o = k - -16. What is the smallest common multiple of 18 and o?
18
Find the common denominator of 31/11 and (-223 + 4)*(-1)/549.
2013
Suppose 0 = 13*v - 46 - 32. Let a(p) = -2*p. Let c be a(-2). Suppose 4*k - 52 = -3*f, -f + 19 = c*k - 9. Calculate the least common multiple of v and f.
12
Let a(c) = -3*c + 9. Let x be 69/(-15) - (-3)/5. Let m be a(x). Suppose z - 4*z + m = 0. What is the lowest common multiple of z and 1?
7
Let q(j) = j**3 - 3*j**2 - 4*j - 6. What is the least common multiple of (8 - 12)/((-7)/42) and q(5)?
24
Let b be -2 + 14/16*3841. Let j = -3364 + b. Calculate the common denominator of (-186)/4*198/1188 and j.
8
Let o(n) = -n**3 + 8*n**2 + 11*n - 4. Calculate the smallest common multiple of o(9) and 1200.
8400
Suppose -46*k - 15 = -49*k. Suppose -3*d + 12 = -0*d. Suppose d*a - 8 = 3*a. What is the lowest common multiple of k and a?
40
Find the common denominator of (3/((-1485)/306))/((-8)/5) and 121/10.
220
Let a = 2583 - 1314745/509. Let m = a + -7144/4581. Let r = -1382/1645 + -4/235. What is the common denominator of m and r?
63
Let v be (189/56)/(26/(-158)). Let x = v + 252/13. Find the common denominator of x and -27/4.
8
Let p = -13/8449 - 64406662/42245. Let f = 1516 + p. What is the common denominator of -63/8 and f?
40
Suppose 5*o - 24 = 31. Let c(a) = a**3 - a**2 - a - 35. Let r be c(0). Let n = 42 + r. What is the smallest common multiple of o and n?
77
Let a(g) = g**2 - 2*g - 8. Suppose -6*i + 30 = -i. What is the lowest common multiple of 6 and a(i)?
48
Suppose 0 = -5*l - 4*l + 36. Let m = -2 + 2. Suppose 3*c - 3*i - l = 2*c, -i = m. What is the smallest common multiple of 11 and c?
44
Let o(q) = -3*q - 11. Let k = -30 - -21. Let v = k + 4. What is the smallest common multiple of o(v) and 18?
36
Let m(w) = 23*w**2 + 2*w + 90. What is the smallest common multiple of 24 and m(0)?
360
Let g = -603 - -273. Find the common denominator of -85/8 and g/(-32) - (5 + -1).
16
Let u = 1991/60 + -151/4. What is the common denominator of 55/63 and u?
630
Let c = -77 - -104. Calculate the least common multiple of c and 15.
135
Suppose 118 = 3*x - 0*j + 2*j, 0 = -2*x - j + 77. Suppose -g - g = -x. What is the lowest common multiple of (64/24)/(2/g) and 12?
24
Let x = -2/267 - 681/178. Find the common denominator of x and (2/6)/(-6 - 15574/(-2613)).
24
Let s(t) = -2*t**2 + 3*t + 3. Let v be s(3). Suppose -3*x - 62 = -5*d, 0*x - 2*d + 68 = -3*x. Let k = v - x. What is the smallest common multiple of k and 12?
36
Suppose 0 = 5*q - 7 - 3. Suppose 5*r = -4*i + 22, q*r + 36 = -0*i + 4*i. Calculate the smallest common multiple of 35 and i.
280
Let o be -9*(-17 + -6*4/(-12)). Let x = o - 120. Calculate the least common multiple of 7 and x.
105
Let i(w) = -w - 6. Let l be i(-16). Suppose v - 6*v = -l. Let b(t) = t**2 + 3*t + 4. What is the lowest common multiple of b(3) and v?
22
Calculate the lowest common multiple of 237 and (-170)/102*(-144)/5.
3792
Let f = 23083/30 - 3753/5. Find the common denominator of (-2)/(-36)*(-6681)/(-34) and f.
12
Suppose 12 = 2*j + 3*j - 2*u, -4*u + 8 = -2*j. Suppose j*l - l = -24. Let o = 15 + l. Calculate the lowest common multiple of o and 10.
70
Suppose 2 = 2*w - 20*o + 19*o, w + 2 = -o. Let a be -8*(5/4)/(-1). Let h = a + w. Calculate the lowest common multiple of h and 8.
40
Suppose 2*y - 5*y = -72. Suppose -3*p - 3*d = -51, 2*p - 592*d + 590*d - 14 = 0. Calculate the smallest common multiple of p and y.
24
Let i(h) = -h**3 + 5*h**2 - 1. Let d(j) = j - 1. Let k be d(5). Let m be i(k). Let a = -4 + m. What is the lowest common multiple of a and 4?
44
Let p(l) = -2*l - 22. Let x be p(-11). Suppose x*h - 6*h + 54 = 0. Suppose -5*c - 3*y - y = -90, c = 5*y - 11. What is the smallest common multiple of c and h?
126
Let p = 44488/27 - 1647. Calculate the common denominator of p and 5/48.
432
Suppose w = -3*z - w + 84, -5*w - 15 = 0. Let i(m) = -2*m**3 + 19*m**2 - 2*m + 6. Let x be i(9). Let h = -67 + x. What is the lowest common multiple of h and z?
30
Let k = -3958147/45052 + 1/6436. Let t = 13593/154 + k. What is the common denominator of t and -145/18?
198
Let o = 3135/29 + -115615/1044. Find the common denominator of o and 301/(-315)*(-3)/(-2).
180
Suppose -c - 5*o + 65 = 0, 9*o + 25 = c + 6*o. Calculate the smallest common multiple of 20 and c.
40
Let l = -239/3 - -829/12. Find the common denominator of l and ((-44)/330)/(8*(-2)/702).
60
Let t be 192/87 - (-4)/(-2). Let b = t + 211699/145. Let a = -1468 + b. What is the common denominator of 35/9 and a?
45
Let i = -4/3631 + -496887/508340. Let x = -7746 - -46613/6. What is the common denominator of i and x?
420
Let t(k) = -2*k + 11. Let i(s) = -s + 6. Let r(c) = 5*i(c) - 2*t(c). Calculate the least common multiple of r(-4) and 1/((-74)/(-36) - 2).
36
Suppose 3*p - 2*b - 17 = 0, 5*p = 3*b + 30 - 1. Suppose 0 = 2*x - 7*x - 60. Calculate the smallest common multiple of p and 9/6 + 6/x.
7
Let i = 55 - 60. Let v = 5 - i. What is the smallest common multiple of 20 and v?
20
Let o = 38 - 18. Calculate the least common multiple of o and 24.
120
Let j(g) = -2172*g**3 + g + 1. Let r be j(-1). Suppose -2*z - 11522 = r. Let l = z - -150573/22. What is the common denominator of l and 17/18?
198
Let w be (-18)/12 - (-17679)/(-5). Let i = 1014 + -4546. Let g = w - i. What is the common denominator of 87/20 and g?
20
Let u = -130 - -136. Suppose z - 108 = -2*z. Suppose 0*f - 2*f + z = 0. Calculate the smallest common multiple of f and u.
18
Let y = 4642 - 83681/18. Let m = -8084 - -64753/8. Find the common denominator of m and y.
72
Let h = 2/903 + 3868/903. What is the common denominator of 38 and h?
7
Let t = 153 - 152. What is the least common multiple of t and 23?
23
Find the common denominator of (670/(-15)*3)/(-39 - 3) and 62/123.
861
Let r = -2008 - -7949/4. Let q = -7/1346 - -24582/3365. What is the common denominator of q and r?
20
Suppose 3*n + 4 + 20 = 0. Find the common denominator of (1/(-4))/((-3)/(-534)) and (-151)/n*(-8)/6.
6
Let i(s) = s**2 - 6*s + 13. Let p be i(3). Suppose 3*r - 2 = p. What is the least common multiple of 8 and r?
8
Let v = 215 - -19. Calculate the common denominator of (v/(-64))/((15/2)/5) and 49/16.
16
Let y be 261/18 + 2/(-4). Let l = y - 8. Let j = 0 + 7. Calculate the smallest common multiple of j and l.
42
Let d be 2*1 - (-3 + 5). Suppose 0 = p + 2*c - 62 + 24, d = -2*p + 5*c + 67. What is the common denominator of (1016/p)/(8/(-6)) and -7/3?
6
What is the smallest common multiple of (28/(-6))/((-1)/3) and (70/(-28))/(-3 - 43/(-16))?
56
Suppose -156 = -6*h - 12. Calculate the smallest common multiple of 30 and h.
120
Let z = 1352 - 705. Calculate the common denominator of z/(-153) - (-20)/170 and 65/9.
9
Calculate the common denominator of (-588)/784 + 3150/3736 and -15/16.
7472
Suppose 3*t = 5*y + 46, -4*y = t + 4*t - 126. What is the lowest common multiple of 489/33 - (-4)/t and 2?
30
Let h(b) = -5*b**2 - 20*b + 6. Suppose 101 - 11 = 3*x. What is the least common multiple of x and h(-3)?
210
What is the common denominator of (-54824)/1424 + -1*-1*2 and (-53)/(-303)*6/(-4)?
202
Let m(c) = -c**2 + 5*c - 3. Calculate the smallest common multiple of 4 and m(4).
4
Let u = -986659 + 39475053/40. Let l = u - 1136/5. What is the common denominator of -67/58 and l?
232
Suppose 3*n = v + 6, -8*v + 3*v = -5*n. Calculate the lowest common multiple of n and 1364.
4092
Let s(d) = -d**2 + 17*d + 4. What is the lowest common multiple of s(11) and 70?
70
Suppose -20*g = 145 - 1025. What is the least common multiple of 264 and g?
264
What is the common denominator of 33/74 and 14/5*(-65)/(-8)?
148
Suppose -126 = -4*z + h, 2*z = -3*h + 85 - 15. Calculate the lowest common multiple of z and 1 - 2 - (-10)/1.
288
Suppose -163 = -12*s - 19. What is the smallest common multiple of s and 44?
132
Suppose 0 = 10*n + 11*n - 2184. Suppose -n*x + 101*x = -39. Suppose -2*z = v - 0*z + 3, 2*v = -2*z. What is the smallest common multiple of x and v?
39
What is the smallest common multiple of 11 and (-10)/(-3)*(-8505)/(-675)?
462
Let g(d) = 806*d + 5. Let h be g(-4). Let b = 25799/8 + h. What is the common denominator of 4/(-6) + 46/4 and b?
24
Suppose -2*i + 104 = -28. What is the lowes