m - 20 = -j, 5*m + j = 104. Let w = -11 + m. Suppose -4*b + 9*b = w. What is the lowest common multiple of b and 18?
18
Suppose -2*m - 2*m - 4*a + 36 = 0, -3*m + 5*a - 13 = 0. What is the common denominator of m/(-7) - (-3330)/756 and -115/12?
12
Let f(i) = i**3 - 9*i**2 + 8*i + 13. Let j(o) = o**3 - o**2 - o + 1. Let t(y) = -f(y) + 2*j(y). Calculate the smallest common multiple of 17 and t(-8).
85
Let a = -3 - -11. Let m(d) be the second derivative of -d**5/20 + d**4/4 + d**3/3 - 3*d**2/2 + 2*d. Calculate the lowest common multiple of a and m(3).
24
Let t = -18 - -18. Suppose t = -6*z + 2*z + 24. What is the smallest common multiple of 14 and z?
42
Let c = 438 - 338. Calculate the smallest common multiple of 10 and c.
100
Suppose 5*y = -3*r + 38 - 0, -9 = -r + 2*y. What is the lowest common multiple of 53 and (5 + 2/1)/(11/r)?
371
Suppose 4 = 15*z - 13*z. Let q(h) = 2 - h**2 - 2*h - 5 - h**3 + 1. Calculate the lowest common multiple of z and q(-3).
22
Suppose -5*x = 2*g + 5, -5*g - 3*x + 17 - 1 = 0. Suppose -5*j = -3*h + 43, -4*h - 1 = -g. Calculate the common denominator of j and 41/13.
13
Suppose -t = -0*t - 2. Suppose -u + 7 = t. Suppose 0 = -u*b - 5*v + 26 + 14, 2*b - 5*v - 9 = 0. Calculate the least common multiple of 3 and b.
21
Suppose -s - 2*s = 1106307. Let b be -4 + (s/30 - 2). Let k = b + 12308. Calculate the common denominator of k and -25/6.
30
Suppose -2*k - x = x - 4, 2*x - 16 = -4*k. Find the common denominator of 41/7 and ((-158)/70)/(k/(-10)).
21
Suppose -3*j - 29*j + 352 = 0. Calculate the smallest common multiple of 10 and j.
110
Let g = -946 - -948. Let j(i) = 4*i - 4. What is the least common multiple of j(6) and g?
20
Let h(p) = p**3 - 3*p**2 - p + 2. What is the lowest common multiple of 142/6 - 1/(-3) and h(0)?
24
Suppose 0 = -6*c + c + 60. Suppose 0 = -4*w + c + 8. Calculate the lowest common multiple of w and (28/6)/(4/6).
35
Let r(q) be the first derivative of q**4 - q**3/3 + q - 12. Calculate the least common multiple of r(1) and 1.
4
Suppose 5*j - j - 4*y = 32, 3*j - 4*y - 25 = 0. Suppose -2 + 34 = 32*z. Calculate the lowest common multiple of j and z.
7
Let p be (3/(-12)*0)/(-1). Suppose p = -2*z + v + 14, -3*v - 16 = -5*z + 17. What is the lowest common multiple of z and 3?
9
Suppose 7*p - 15 = -5*z + 12*p, z + 5*p = 21. Let q(g) = 7*g**2 - 2*g + 3. Calculate the least common multiple of q(2) and z.
54
Let q(p) = -p**2 + 9*p - 5. Let d be q(8). Suppose -2*b = -d*b + 2. Calculate the common denominator of -4/9 and ((-63)/15)/((-1)/b).
45
Suppose -7*i = -3 - 18. What is the common denominator of 5/i*(-1020)/(-160) and -103/84?
168
Let q(j) = j**3 - 5*j**2 - j + 11. Let w(p) = p + 9. Calculate the smallest common multiple of w(0) and q(5).
18
Let o(v) = v + 3. Suppose x - 12 = -3*x. Suppose t + 0*t - x*w = 4, 5*w = -t + 12. Calculate the least common multiple of o(t) and 11.
110
Let d = -3816 - -68671/18. Find the common denominator of -83/135 and d.
270
Suppose -5*x + 3*z + 10 = 0, -x - 13 - 2 = -4*z. Suppose x*g = 2*g. Let p = g - -10. Calculate the lowest common multiple of p and 9.
90
Let v(q) = 134*q**3 - q**2 - 1. What is the least common multiple of 108 and v(1)?
1188
Let r(j) = 9*j + 48. What is the least common multiple of 284 and r(-4)?
852
Let l = 455 + -439. Calculate the smallest common multiple of l and 150.
1200
Let k = 4/1171 + -12953/21078. Calculate the common denominator of k and -2 + 5 + 43*3/54.
18
Let i = -555381631 + 3422261626403/6162. Let j = i - 5/474. Calculate the common denominator of -44/7 and j.
91
Let j = -28 + 14. Let g = -8 - j. Suppose 0 = -4*m + 3 + 5. Calculate the lowest common multiple of m and g.
6
Suppose w - 4*f = -w - 58, -5*w + 2*f = 145. Let t = w - -36. What is the lowest common multiple of t and 1?
7
Suppose -11*y + 1652 = 420. Calculate the smallest common multiple of y and 420.
1680
Let h be (49/(-21))/((-58)/3). Let u = h - -169/522. Calculate the common denominator of (-372)/16*(-6)/9 and u.
18
Let a = -181 + 197. What is the smallest common multiple of a and 354?
2832
Let j = 1017509/1036 + -6877/7. What is the common denominator of 107/44 and j?
1628
Let k = -62 + 104. Suppose 2*o + f - 8 = 0, f + 3 = -o + 9. Calculate the smallest common multiple of k and o.
42
Let c(a) = -2*a - 6. Suppose -23 = 11*r - 78. Suppose b = 2*b - 2*j - 11, -4*b + r*j = -32. Calculate the smallest common multiple of c(-4) and b.
6
Let h(w) = -3*w**2 - w**3 + 0*w**3 - 5 + w - w**2 - 5. Calculate the lowest common multiple of h(-5) and 4.
20
Let u(h) = h**2 + h - 28. What is the least common multiple of u(-6) and 6?
6
Let o(i) = -2*i**2 - 42*i - 31. What is the lowest common multiple of o(-18) and 21?
231
Let x be (-32)/6*((-3)/6 + 2). Let q = x - -22. Calculate the least common multiple of (-41)/(-3) + 1/3 and q.
14
Let n(t) = -t**2 - 21*t - 13. Let v be n(-19). Let f = v + -17. Let r(i) = -3*i - 12. Calculate the lowest common multiple of r(-8) and f.
24
Let a be (6/4)/((-7)/(-12618)). Let z = a + -2710. Calculate the common denominator of (-177)/84 + 6 + 6/(-8) and z.
7
Suppose -o = 18 + 31. Let l = 54 + o. Calculate the lowest common multiple of l and 11.
55
Find the common denominator of (-14*(-2)/82)/((-4)/1) and 33/41.
82
Let r be (140/98)/(4/14). Suppose 0 = r*s - 89 + 9. Calculate the smallest common multiple of 2 and s.
16
What is the common denominator of 1/6 - (-1170)/6912 and 89/20?
640
Let r = 29008 + -10210845/352. What is the common denominator of r and 17/242?
3872
Calculate the least common multiple of (405/(-10))/27 + (-30)/(-4) and 12.
12
Find the common denominator of 27/(-9) - ((-271)/117 - 1) and 18/143.
1287
Let i = 4113/8 + -515. Suppose 5*l = -0*l + 2*v - 1, -10 = 4*l + 3*v. What is the common denominator of i and l/4 + 178/(-8)?
8
Let v(f) = -f - 38. Let k be v(-17). Calculate the common denominator of (-12)/k + (-442)/112 and -65/9.
72
Let r = 1400 - 1150. Calculate the smallest common multiple of r and 250.
250
Suppose -4*g + 31 = 5*o - g, -2*g - 1 = -o. Suppose 6*d - 33 = 4*d - o*c, -2*c + 30 = 5*d. What is the least common multiple of 18 and d?
36
Suppose -u + 17 + 7 = 0. Let k = u + 29. What is the smallest common multiple of k and 10?
530
Let h = 191 - -136. Let z = h - 2623/8. Find the common denominator of 2/(-24) + 2*1 and z.
24
Let f be (-6)/9 + 28/6. Let s be 1 + 2 + f/4. Suppose o = -0*o + s. Calculate the least common multiple of o and 12.
12
Let y be -2 + -1 + (-22043)/4608. Let b = -3/512 - y. Let t = -811/117 + b. What is the common denominator of t and -13/3?
39
Let d(q) = 2*q - 13. What is the lowest common multiple of 9/((-9)/(-2))*(-21)/(-6) and d(17)?
21
Suppose -2*t = -2*u + 10, -u + 4*t + 14 = -0*t. What is the smallest common multiple of -4*(-1)/u*(-12)/(-1) and 27?
216
Suppose i - 3*o = -10, -3*i + 5 = -4*o + 2*o. Suppose i*q = c + 3, -q + 7 = 5*c - 4. What is the smallest common multiple of c and 12?
12
Let t(d) = -10*d**2 - 11*d + 28. Let y be t(-10). Let g = -9489/11 - y. What is the common denominator of g and -1/9?
99
Let w be (-8)/2*1785/68. Calculate the common denominator of 509/(-330) + 21/w and 71/22.
66
Let j(y) = -y + 28. Let o be j(-17). Let m = -42 + o. What is the lowest common multiple of 2 and m?
6
Find the common denominator of (-7 - -4)*92/30 and ((-4)/6)/((-90)/(-837)).
5
Let h(r) = 321*r**2 + 7*r + 5. Let z be h(14). Let y = z + -1139621/18. Let j = y + 883/3. Find the common denominator of j and 139/12.
36
Let y(b) = 2*b**2 - 26*b + 108. Calculate the smallest common multiple of 48 and y(13).
432
Let z be (-2)/(-5) + (-5)/(2250/57415). Let n = z + 654/5. Find the common denominator of n and -33/14.
126
Let l(m) be the first derivative of m**3/3 + m**2/2 + 2. Let k be (5/10*6)/1. What is the least common multiple of l(k) and 8?
24
Let u(a) = -a**3 + 11*a**2 + 17*a - 15. Let z be u(12). Suppose 25 + 40 = 5*w - x, 5*w + 3*x - z = 0. Calculate the least common multiple of 6 and w.
12
Let p = -7737/154 + 352/7. What is the common denominator of (428/(-30))/(8/3) and p?
220
Let c = -63086 + 2081095/33. Let n = -8/2511 + 281320/27621. Let k = c + n. What is the common denominator of -46/5 and k?
15
Let k = -1071 + 3214/3. Let x = -172685/30564 - 2/38205. Calculate the common denominator of x and k.
60
Let j be (0*1/