 = 0 - 3. Let a = t + 4. Calculate the smallest common multiple of 2 and a.
2
Let u = 743/5 + -4906/35. Calculate the common denominator of 23 and u.
7
Let t be (2 + -1 + -1)/(-2). Suppose t = 2*x - 4. What is the smallest common multiple of 3 and x?
6
Suppose d - w - 145 = 2*w, -2*d + 245 = 3*w. Calculate the lowest common multiple of 2 and d.
130
Suppose 11*a - 23 + 1 = 0. Suppose w - 24 = -3*w + 4*b, -4*w - 4*b + 8 = 0. What is the least common multiple of w and a?
4
Let l = -45 - -67. Calculate the smallest common multiple of l and 6.
66
Let o = 461 - 959/2. What is the common denominator of o and -14?
2
Suppose -4*w + 28 = n, -4*n + w + 57 = 6*w. What is the smallest common multiple of 36 and n?
72
Let y = 1 - -5. Let w = 128991/20 - 6447. Find the common denominator of w and 4/y + (-67)/42.
140
Let w = 6 + 2. Suppose -4*m + 142 - 58 = 4*j, 0 = 2*m - 6. Calculate the least common multiple of j and w.
72
Let m(j) = j**2 - 7*j + 10. What is the smallest common multiple of 6 and m(6)?
12
Suppose -44 = -3*w + w. Let p = -106 - -110. Calculate the smallest common multiple of p and w.
44
Let h = -38953/14 - -2786. What is the common denominator of 34/10 - 9/(-6) and h?
70
Let c = -39/20 + 6/5. Let b(o) = 7*o**2 + o + 2. Let t be b(2). Find the common denominator of c and 2/t*14*18.
4
Let n(k) = k**2 - 2*k - 15. Let r = -2 - -5. What is the smallest common multiple of n(-4) and r?
9
Let m(y) = -y**3 - y - 2. Let f be m(0). Let b be (-5)/f*(-24)/(-30). Suppose 5*v + b = 6*v. What is the lowest common multiple of v and 4?
4
Suppose -4*q - 7 = -31. Let c(o) = o**3 - 7*o**2 + 8*o + 4. Calculate the least common multiple of (((-12)/(-8))/(-1))/(6/(-16)) and c(q).
16
Suppose 5*l + 5*r = 0, l + 5*r + 24 - 4 = 0. What is the smallest common multiple of 3 and l?
15
Suppose -21 = -6*v + 3*v. What is the least common multiple of 9 and v?
63
Let v(o) = -14*o + 2. Let b be v(-2). Let k = -15 - -21. Calculate the lowest common multiple of (4/6)/(4/b) and k.
30
Let b = 935300/63 + 168031/126. Let i = -16186 + b. Calculate the common denominator of i and -10/11.
198
Suppose -4*o + 2*a + 0 + 48 = 0, -2*o + 3*a = -28. Suppose 0 = 4*y + 20, 0 = g + 2*y + 4 - 3. What is the lowest common multiple of g and o?
99
What is the common denominator of 35/26 and 6/(-4) - 10/32?
208
Suppose -9 = -2*t - 4*n + 5*n, -4*t + 12 = 4*n. Let u = 12 + -3. Suppose -2*p + u + 16 = 3*g, -5*g = -3*p - 48. What is the smallest common multiple of t and g?
36
Suppose 2*o = -2*o + 8. Calculate the lowest common multiple of o and 2.
2
Suppose 14069 = 3*t + 332. Let j = 27535/6 - t. Calculate the common denominator of -97/2 and j.
6
Let i = -22 - -31. Suppose -i = -3*v + 3. What is the smallest common multiple of v and 5?
20
Let r be (-2)/6 - 13/(-3). Suppose -a = r*a - 10. Calculate the lowest common multiple of 8 and (-10)/(-4 - -2) + a.
56
Let k = 0 - -12. Let z be (7/(-4))/(3/k). Let i = -6 - z. Calculate the smallest common multiple of i and 3.
3
Let q = 13811/6 + -2316. What is the common denominator of 22/5 and q?
30
Let s = -2625/2 - -1358. Let f be (-130026)/8*4/(-10). Let n = 6510 - f. Calculate the common denominator of n and s.
10
Let t = 116205/16 - 7259. What is the common denominator of t and (-34)/(-8) - (-6)/(-15)?
80
What is the common denominator of 2 + 13/(-20) + 2 and ((-274)/(-15))/((-24)/(-10))?
180
Let p(i) = -i**2 + 4*i + 25. Calculate the smallest common multiple of 10 and p(5).
20
Let q(p) = 5*p - p**2 + 4 - 5*p + 2. Calculate the smallest common multiple of q(0) and 1/1*(10 + 0).
30
Let r = 1 + -1. Calculate the smallest common multiple of 3 and -1 + (r - (-5 - -2)).
6
Let i(p) = p**3 - 16*p**2 + 16*p - 1. Calculate the lowest common multiple of i(15) and 6.
42
Let t be 8/14 + -1 + 0. Let r = -1/16584 + 151101/38696. Let v = t - r. Calculate the common denominator of v and -41/3.
3
Let s(f) = -6*f + 0*f + 0*f - 4 + f. Let u be s(-4). Let t = -7 + u. What is the least common multiple of t and 10?
90
Let l be 3 + (2 - (0 + 2)). Suppose -l = f - 4. What is the smallest common multiple of 22 and (0 - 0)*f + 22?
22
What is the common denominator of 193/30 - (-2)/3 and 8/11?
110
Suppose 0 = -4*a + 59 - 7. Suppose 3*b + m - a = 42, 4*b - 90 = 2*m. Calculate the lowest common multiple of b and 16.
80
Let z = 7 + -11. Find the common denominator of 85/22 and (2/9)/(z/47).
198
Let i = 627539183/91431 + 285/10159. Let p = i + -6856. Calculate the common denominator of p and 40/3.
9
Suppose -2*q + 4*i + 22 = -q, 4*q = -i + 88. What is the smallest common multiple of q and 6?
66
Suppose g + 5565 = -4*g. Calculate the common denominator of g/56*4/(-6) and (-14)/4*(-21)/(-30).
20
Suppose -5*o - 3 = 2. What is the least common multiple of 14 and o/4 + (-343)/(-28)?
84
Let k = -2976 - -47639/16. Let b = -5/17981 + 6167883/1438480. Let q = b - k. What is the common denominator of q and 87/4?
20
Let m = -372874/3 - -12681313/102. Let d be ((-100)/17)/(2/(-4)). Let a = m - d. What is the common denominator of 19/14 and a?
14
Find the common denominator of 58/3 and (-36)/((1 - 0)*-11).
33
Let s = -789/2 - -386. Let h(l) = -l**3 + l + 5. What is the common denominator of s and h(0)?
2
Suppose 2*c - 180 = -7*c. What is the lowest common multiple of c and 24?
120
Suppose 5*z - 5*a = -a + 227, 0 = -z - 2*a + 37. Calculate the common denominator of 145/18 and (-4)/(-6) - z/(-18).
18
Let l(r) = -r + 44. Calculate the lowest common multiple of l(22) and 14.
154
Suppose 5*h + 13 = -12. Let t(c) = -3*c - 4. Calculate the smallest common multiple of 2 and t(h).
22
Calculate the least common multiple of 15 and (-10 - -11)*5*1.
15
Let k = 20 - 12. What is the smallest common multiple of k and 11?
88
Suppose 0 = 3*d - 16 - 2. Calculate the common denominator of 34/18 + d/(-9) and -99/8.
72
Suppose -p + 36 = 2*p + 2*d, 4*p - 4*d = 68. Calculate the common denominator of -2/9 and 6/p + 2 + -2.
63
Let k = 17 - 13. Suppose -1 = -k*y + 11. Suppose j = -2*j + 33. What is the smallest common multiple of y and j?
33
Let x(j) = -11*j**3 + j**2 + j + 1. Let o be x(-1). Suppose 2*c - s = o, 0*c - 3*s = -5*c + 29. Calculate the least common multiple of c and 4.
28
Let u = 4 - -4. Let z be ((-1)/(-3))/((-1)/(-42)). Suppose h - z = 6. Calculate the least common multiple of u and h.
40
Let c be (15/(-6))/((-3)/54). Calculate the common denominator of 17/12 and 12/(-16)*309/c.
60
Suppose g = 2*x - 2, 4*x - 5*g + 1 = -1. Suppose 2*n - 3*l + 5 - x = 0, 4*l - 12 = 0. What is the smallest common multiple of n and 10?
30
Let q(t) be the third derivative of t**5/60 - 5*t**4/24 + t**3/3 + t**2. Suppose -28 = -2*a - 2*a. Calculate the smallest common multiple of q(5) and a.
14
What is the least common multiple of (42/70)/((-6)/(-20)) and 11?
22
Let s = -251019081/4184 + 59995. Let b = -194549/29288 + s. Find the common denominator of -11/8 and b.
56
Let k be 0 - (1 + (-4)/1). Suppose -2*x - k*l + 1 = 0, 0*x + 3*x - 3*l + 6 = 0. Find the common denominator of x*3 + (-45)/(-2) and -35.
2
What is the common denominator of 3 + -2 + 19/(-2) and -7/18?
18
Suppose p = -d - 1, -p - 2 = 2*p + 4*d. Let g(o) be the first derivative of -7*o**2/2 + 2*o - 11. What is the smallest common multiple of 4 and g(p)?
16
Let v = -150 + 75. Calculate the common denominator of (v/(-36) - 2)*59 and (-1)/3 + 206/96.
48
Let g(f) = -f**3 - 6*f**2 + 6*f + 4. Suppose -3*j + 4*c - 8 = -7*j, 5*c - 4 = -3*j. What is the least common multiple of j and g(-7)?
33
Let j(n) = n + 4. Calculate the lowest common multiple of j(0) and 30.
60
Suppose 0 = 2*l - 2*q - 22618, l - 2*q - 7444 = 3866. Let f = 112967/10 - l. Calculate the common denominator of 1/(-3) - 357/(-18) and f.
10
Suppose 4*t - c = -80, 2*t + 0 + 30 = -2*c. Let m = -13 - t. Calculate the least common multiple of 4 and m.
12
Suppose m - 14 = 3*m. Let u(l) = -2*l - 3. Calculate the lowest common multiple of u(m) and 10.
110
Find the common denominator of 810/(-375)*5/(-4) and -61/9.
90
Let s(z) = -z**2 + 2*z + 1. Let c be s(3). What is the lowest common multiple of 12 + (-4 - c) + -1 and 5?
45
Suppose -g + 20 = -6*g. Let x = 8 + -6. Let u = x - g. Calculate the lowest common multiple of 2 and u.
6
Let m = -2/29387 - 1792523/1234254. Find the common denominator of m and 97/12.
84
Suppose 4*j - 