l - 5*a, b*l + 2*a = 3*a + 58. Calculate the least common multiple of l and 8.
88
Suppose -5*f + 6 = -9. Suppose 0 = 4*h - 0*h + 5*j - 79, -63 = -f*h - 5*j. What is the smallest common multiple of h and 2?
16
Let b(f) = -f**3 - 2*f**2 - 7. Let p be b(-3). Suppose 3*g = -p*g + 10. What is the smallest common multiple of g and 10?
10
Let u = 93877/12 + -7814. Let d = 8399/2 + -29455/7. What is the common denominator of d and u?
84
Let f = -10 - -8. Let k = f + 4. Suppose 0 - k = -n. Calculate the lowest common multiple of n and 8.
8
Let d be (-3 + -1 - -9)*1. Suppose -2*q = -l - 0*l - 22902, -d*q + 4*l = -57255. Let r = q + -206051/18. Calculate the common denominator of r and 89/2.
18
What is the common denominator of -55/392 and (11 + -9 - 147/15)/112?
3920
Let d(a) = -2*a + 10. Let q be d(5). Suppose q*z + z = 22. Calculate the smallest common multiple of z and 12.
132
Let o = -7484 - -74753/10. Find the common denominator of (4 - 3) + 84/10 and o.
10
Let w be (-3)/6*60/2. Calculate the least common multiple of 21 and ((-25)/w*3)/(1/12).
420
Suppose 5*g + 61 = 291. Let k(q) = -q**3 + 2*q**2 - 1. Let j be k(-1). Suppose 3*o - 4 = j. What is the smallest common multiple of o and g?
46
What is the least common multiple of 5 and (-6)/8 + (-473)/(-44)?
10
Let c = 10 - 7. Let l(m) = -m**3 + m**2 - 7*m + 4. Let d(p) = p**2 + p - 1. Let y(n) = -3*d(n) - l(n). What is the least common multiple of y(c) and 7?
14
Let h be 6234/12436 + (-1)/2. Let z = 369931/31090 + h. Let s = -35711/7 + 5101. Calculate the common denominator of s and z.
70
Suppose 0 = -6*n + 2*n + 24. Let s(g) = 2*g**3 - 14*g**2 + 14*g + 5. Calculate the lowest common multiple of s(n) and 8.
136
Let l = -2259 - -15763/7. Let m(c) = c**3 - c**2 + 3*c + 4. Calculate the common denominator of m(3) and l.
7
Suppose 0 = 19*r + 153 - 191. Calculate the smallest common multiple of 73 and r.
146
Let y = 22 + -18. Suppose 8*b - y*b - 80 = 0. What is the least common multiple of 1 and b?
20
Suppose -4*j + 4*y + 20 = 0, -y + 22 + 5 = 3*j. Suppose -10*b - j = -14*b. Let f = 28 + -25. Calculate the lowest common multiple of b and f.
6
Let m(v) = -2*v**3 + 11*v**2 + 11*v + 3. What is the least common multiple of m(6) and 1?
33
Let i = 5 - -4. Suppose -3*c = n - 33 - 3, 4*n - 151 = -5*c. Calculate the lowest common multiple of n and i.
117
Let f = -88940205662/13 + 6835116366. Let i = 6441042 + f. Let x = i - 3124. What is the common denominator of x and -42/11?
143
Suppose r + 6 = 3*g, g - 1 = 1. Suppose -2*b = -r*b - 6. Suppose 7 + b = j. What is the least common multiple of j and 6?
30
Let o(m) = -7*m**3 + 4 + 0*m - 3*m**2 - 3 + 6*m**3 - 3*m. Let c be o(-3). Suppose -32*v + c = -31*v. What is the least common multiple of 4 and v?
20
Let j = 179690143/518 + -346892. Calculate the common denominator of -143/18 and j.
4662
Let n = 17 + -15. Suppose -n*k + 5*z = 3*k + 675, k + 5*z + 153 = 0. Calculate the common denominator of 53/11 and 3/(-5) - k/(-70).
77
Suppose -15*b = 49 - 1759. Let z(f) = f + 8. What is the lowest common multiple of b and z(0)?
456
Let c = -25649 - -48143174/1877. Let x = 95734/13139 - c. What is the common denominator of 45/11 and x?
77
Suppose 4*t - 7 - 1 = 0. Suppose -3*d = 2*j - 10, 4*j - 5 = 15. Suppose d*z + 10 = t*z. Calculate the smallest common multiple of 3 and z.
15
Calculate the least common multiple of 3192/112 - 2/4 and 20.
140
Suppose 0 = -0*f - 4*f + 36. What is the smallest common multiple of 8/(-12) - ((-114)/9 - -4) and f/(-6)*(-10)/3?
40
What is the common denominator of -5/9 and (-7)/(-54) - -4 - 3?
54
Suppose -2*k - 300 = 4*k. Let b = -25 - k. Calculate the smallest common multiple of b and 5.
25
Find the common denominator of 72/1872*92/6 and -65/3.
39
Let q(a) = a**2 + 16*a - 14. Let y be q(-17). Suppose -p - y*x + 4 = 0, 2*p = x + 1 + 7. What is the lowest common multiple of p and 6?
12
Let k be (-1116)/(-24)*(-12)/9. What is the least common multiple of 100 and k/(-4) + (-1)/(0 + -2)?
400
Let u = -8708 - -12692. Let i = u - 39943/10. What is the common denominator of ((-1)/(-12))/(4/(-159)) and i?
80
Let j = -32 - -12. Let t = 18 + -56. Let c = j - t. What is the lowest common multiple of c and 16?
144
Suppose -8*p - 1011 = -1299. Calculate the smallest common multiple of p and 48.
144
Let r be -106*(1 - -74*(-2)/140). Let v = r - 31/5. Let i = 98351/12645 + -1/12645. Calculate the common denominator of i and v.
63
Suppose -1 = g - 2*g. Let k(a) = -a**3 - 8*a**2 - 11*a - 12. Let m be k(-6). Let f = 23 + m. What is the lowest common multiple of g and f?
5
Let n = -1/26 + -751/78. Find the common denominator of n and (161/(-42))/((-8)/(-20)).
12
Let m be (-4)/20 + (-3)/(-15). Suppose m = 2*r - r - 5. Let o(w) = w**2 - 2*w - 20. What is the lowest common multiple of o(-4) and r?
20
Let m = 8290 + -174133/21. Find the common denominator of m and 1/14.
42
Let t be 79/340 - 2/8. Let z = -2/17 - t. Find the common denominator of (2 + 0)/((-16)/56) - (-297)/18 and z.
10
Let s = -29204 - -701017/24. Let a = 31281/8 - 3919. What is the common denominator of a and s?
24
Let d = 8 - -12. Suppose 80 = 14*g - 4*g. Calculate the least common multiple of d and g.
40
Suppose a = 2*a - 28. Let x(z) = 2*z - 18. Calculate the smallest common multiple of a and x(12).
84
Suppose u + 31*o = 36*o + 16, 27 = 2*u - 5*o. Suppose -34 = 4*x + 318. Calculate the common denominator of u/x + (-227)/(-88) and 20/9.
99
Suppose 167*d - 156 = 163*d. Calculate the least common multiple of 3 and d.
39
Calculate the least common multiple of 22 and (3 + 900/27)/((-2)/(-12)).
2398
Calculate the common denominator of 435/8*40/(-400) and 67/10.
80
Let o = 169 + -170. Suppose 3 = -j - 4*z, -3*z + 31 = -5*j - 7*z. Let q = o - j. Calculate the smallest common multiple of 4 and q.
12
Let r(l) = l**2 + 3*l + 15. Let i be r(-4). Let s = -9 + i. What is the lowest common multiple of s and 10?
10
Suppose j = 2*j - 4. What is the smallest common multiple of j and ((-4)/(-10))/(2/20)?
4
Suppose -12 = -7*t + 4*t. Suppose 3*v - 1083 + 78 = -t*s, 2*v - 245 = -s. What is the common denominator of (4/(-12))/((-14)/s) and 93/8?
56
Let d(f) be the second derivative of f**3/6 + 5*f**2/2 + 5*f. Let o be d(5). What is the common denominator of 676/(-360) - 4/o and 31/2?
18
Let p = 1403/5 - 45001/160. Calculate the common denominator of p and -83/320.
320
Suppose 1130 = -20*q + 3350. Calculate the lowest common multiple of q and 6.
222
Let r = 9373/18 - 522. Find the common denominator of r and -151/72.
72
Suppose 216 = 9*b - 0*b. Calculate the smallest common multiple of b and 24.
24
Calculate the common denominator of -75/86 and (-20)/(-15) - (-17)/(-4).
516
Suppose 4*m - 2*g = 10 + 6, -3*m + 23 = 4*g. Let o(r) = 2*r**2 - 163*r - 246. What is the smallest common multiple of o(83) and m?
15
Let q = -2525749/200 - -12629. What is the common denominator of 11/250 and q?
1000
Suppose 20 = 4*p - 2*p. Calculate the lowest common multiple of p and 351.
3510
Let g(m) = 24*m**3 + m**2 - m. Let s be g(1). What is the common denominator of 948/s*1/2 and -47/11?
44
Let n = 6131/9384 - 89/276. What is the common denominator of 1/51 and n?
408
Let s = 33 + -13. Let i(o) = 5*o + 7. Suppose 2*c - 6 = -0*c. Calculate the lowest common multiple of s and i(c).
220
Suppose 7*g - 65 = 2*g. Suppose -2*o = -4 - 18. Calculate the least common multiple of g and o.
143
Let x = 124 + -36. Let j = x + -53. What is the common denominator of 5/18 and (931/j)/(18/5)?
18
Let s = 73 - 61. Calculate the smallest common multiple of s and 96.
96
Let f be ((-16436)/(-42))/((-4)/(-6)). Let i = f + -1119/2. What is the common denominator of i and (-2)/(-8) + 68/(-24)?
12
Suppose -78*w = -85*w + 742. Calculate the lowest common multiple of 8 and w.
424
Suppose 35*z + 279 = 3114. Calculate the lowest common multiple of z and 27.
81
Let o = -1899 - -37939/20. Let h = -16481 - -3493979/212. Let b = h - -6219/1060. What is the common denominator of b and o?
20
Find the common denominator of ((-144)/150)/(3009/(-340)) and -50/531.
2655
Suppose 1120*r - 112 = 1113*r. Let h(o) = 2*o - 2. Calculate the lowest common multiple of r and h(2).
16
Suppose 36 = 3*a + 24. Let o(j) = -j**3 + 5*j**2 - 4*j + 9. Calculate the smallest common multiple of 13 and o(a).
1