*r - 2*s = 0, 4*r - 5*s - 8 = r. What is the lowest common multiple of r and 8?
8
Let b = -16105/546 - 1/273. What is the common denominator of -53/12 and b?
12
Let x = 17349/112 + -1125/7. Let h = -455/92 - -17/4. Let r = h - -243/184. Find the common denominator of x and r.
16
Let l be ((-10)/(-4))/(-1)*-2. Suppose l*c = 7*c + 2. What is the common denominator of (-265)/30 - (-3)/c and 59/14?
42
Let f = -5131/6 + 860. Let h = -5700 - -57053/10. Calculate the common denominator of f and h.
30
Calculate the common denominator of -3 - 1/((-72)/20) and -63/2.
18
Let h = 15 + -11. Suppose -5*f - 2*b + 8 = -h*f, 4*f = -4*b + 28. What is the common denominator of -32/5 and 0/(-2) + 64/f?
15
Let p = 15 - 15. Suppose 2*d + 27 = -5. What is the common denominator of p and ((-8)/20)/(d/190)?
4
Suppose 2*w + 22 = 3*u, 0*u + 4*w = 5*u - 40. Calculate the lowest common multiple of 6*(-2 + u)/4 and 1.
3
Let j(r) = r**2 - 4*r - 7. Let d be j(5). Calculate the common denominator of -48/11 and d/(-7)*3 - -1.
77
Let s = -2701/315 + 24/35. What is the common denominator of (-917)/12*(-10)/(-35) and s?
18
Suppose 2*s + 5*i - 4 = 0, -4*s - 1 + 9 = 4*i. Suppose -50 = 3*n + s*n. Find the common denominator of -115/14 and (8 + -1)*n/44.
154
Suppose r = -2*r + 3. What is the common denominator of 31/20 and (119 - (-3)/r)/4?
20
Let l(v) = 211*v**2. Let m be l(1). Let r = m + -318. What is the common denominator of r/2*(-2)/22 and -39/22?
22
Calculate the least common multiple of ((-6)/(-60)*-12)/(2/(-15)) and 9.
9
Suppose 3*k + 3*q - 12 = 0, -5*k + 21 = -0*k + 4*q. What is the smallest common multiple of k and 7?
35
Suppose -2*v - 5 = 5. Let r(t) = -t**3 + 20*t**2 - 19*t + 7. Let k be r(19). Let a = v + k. What is the smallest common multiple of a and 10?
10
Suppose 2*q - 4 = -2*k, 5*k - 7*q - 30 = -2*q. Suppose -2*p - 5*j - 6 = -0, k*j = -8. What is the lowest common multiple of 1 and p?
2
Let q(n) = 4*n - 4. Let o be q(-3). Let k be -1*(12 - (2 - -2)). What is the lowest common multiple of 8 and (-156)/o + (-2)/k?
40
Suppose -3*v = -8 - 16. Calculate the least common multiple of v and (-2)/5*(-2 - 18).
8
What is the common denominator of -24 - 1 - (-24)/32 and -83/4?
4
Let k = -16/47 + 597/235. Find the common denominator of -33/8 and k.
40
Let i(p) = p**3 + 5*p**2 - 1. Let w be i(-3). What is the common denominator of -21/20 and (w/4)/(-4 + 1)?
60
Let o = -311/580 + -2/145. Calculate the common denominator of o and 41/28.
140
Suppose 2*w - 3*w = 0. Let h(n) = 2*n + 6. Calculate the least common multiple of h(w) and 7 + 0*1/(-2).
42
Find the common denominator of 2/(-11) - (-2242)/(-132) and -103/28.
84
Find the common denominator of (-115)/(-44) - (-2)/(-8) and -3/4.
44
Let g = 1 - -3. Let i = 32 + -27. Suppose i*j - 27 = -2*t, t - j = -4*j + 13. Calculate the smallest common multiple of t and g.
16
Let v = -16 + 3. Let s = 22 + v. What is the smallest common multiple of 20 and s?
180
Let o(u) = -u**2 - 10*u - 10. What is the least common multiple of o(-8) and 4?
12
Suppose 3*g - 5*u + 1 = 0, 2*g + 4*u + 10 = -g. Find the common denominator of -3 - (g - 300/(-88)) and 13/28.
308
Let d(p) = 6 + 1 + 3*p + p**2 - 3. Let x(j) = -j - 8. Let c be x(-4). Calculate the lowest common multiple of 1 and d(c).
8
Let j(z) = -5*z**3 + 2*z - 1. Let c be j(1). Let m = 18 + c. What is the least common multiple of m and 4?
28
Suppose -2*i = -5*i + 66. Let q = -13 + 7. Let g = q + i. Calculate the lowest common multiple of g and 1.
16
Let z = 12 + 8. Suppose o + 4*o - z = 0. Calculate the smallest common multiple of 5 and o.
20
Let w = 15707/7 - 2238. Suppose -4*m + 21 = 5*p, -4*p + 5*m - 17 = -p. Find the common denominator of w and 2 + (p - (-17)/2).
14
Calculate the common denominator of (37/(2 - 44/12))/2 and 22/3.
30
Let z be (-3)/6 + 2/4. Find the common denominator of (-223)/(-20) + 2/(-8) and -6*8/(-10) + z.
10
Let d(r) = 9*r**2 + r. What is the least common multiple of d(1) and 22?
110
Suppose 7*v - 3*v = 0, 0 = 5*u + 5*v - 10. Suppose u*n + 10 = 0, 4*i + 0 + 4 = -4*n. What is the common denominator of (-107)/10 + i/(-10) and -65/6?
30
Let y = -12 - -17. Suppose -f + y = 4. What is the least common multiple of f and 6?
6
Let i = 24 - 2. Suppose k - 7 - 13 = 0. Calculate the smallest common multiple of k and i.
220
Let w = 39/43 - -691/1419. What is the common denominator of w and 40/27?
297
Let m(c) = c - 6. Let q be m(8). Suppose q*r - 32 = 4*p, 2*r - 7*r - 4*p + 122 = 0. What is the least common multiple of 14 and r?
154
Let u(n) = -n - 1. Let i(b) = 5*b + 3. Let h(q) = i(q) + 4*u(q). Calculate the lowest common multiple of h(3) and (-518)/(-63) + 4/(-18).
8
Suppose -27 = -c - 0*c - 5*n, -5*c - n + 63 = 0. Let v(p) = -p. Let m be v(-6). What is the smallest common multiple of 136/m - 6/9 and c?
132
Let m(t) = -19*t**3. Let p be m(1). Let u be (p + 0)*(-6 - -3). Let f = u + -35. Calculate the smallest common multiple of f and 6.
66
Let x = 3607/15 - 37747/90. Let n = x + 179. What is the common denominator of n and 25/16?
144
Let b = 3/2935 - 135037/26415. Calculate the common denominator of -74/33 and b.
99
Suppose 17 = 5*l - 8. Suppose 2*p + 3*o = -21, -p + 10 = -l*o + 27. What is the common denominator of -61/6 and 6/(-8) + (-104)/p?
12
Let z = 6 + -6. Let n(w) = -w**3 - w + 65. Let b be n(z). Calculate the common denominator of b/3 + (-7 - -4) and -13/11.
33
Let v(c) = c**3 + 10*c**2 + 9*c + 2. Let o be v(-9). Suppose -3*k + 30 = o*k. What is the least common multiple of k and 10?
30
Suppose 5*a - 9 = 1. Calculate the lowest common multiple of a and 12.
12
Let f = -220/169 - -2285/11492. Calculate the common denominator of 13/14 and f.
476
Let i = 9 + -9. What is the common denominator of (i - 38)/(4/4) and 31?
1
Let l = 3 + -10. Let r be 2/(-7) - 79/l. Let s = r + -7. Calculate the least common multiple of s and 4.
4
Suppose -361 = -2*j - 1055. Let i = 155 + j. Calculate the smallest common multiple of 18 and i/(-9) - 2/(-3).
198
Let c be (-2)/((-12)/63)*8. Suppose 4*y = y - c. Let x = -17 - y. Calculate the lowest common multiple of x and 11.
11
Let g = -2412 - -19241/8. Find the common denominator of (-2)/(-8) + (-3 - 0) and g.
8
Let f = -355508/5643 + -140/513. Let p be 6/(-44)*3434/(-12). Let s = f + p. Calculate the common denominator of s and 69/8.
8
Let g(s) = 4*s**2 - 8*s - 5. Let o be g(6). Let i = o - 41. Suppose -13 = -3*m - 2*c + 17, 5*m - i = 3*c. Calculate the smallest common multiple of 9 and m.
90
Let g be 22/8*-2*6. Let p(u) = -2*u - 39. Let f be p(-12). What is the common denominator of 47/7 and g/(-5)*f/6?
14
What is the least common multiple of ((-3)/9)/((-2)/72) and 72?
72
Let d = -19 + 12. Calculate the common denominator of -93/14 and ((-3)/(-40))/(d/(-476)).
70
Find the common denominator of (424/80)/(1/2) and (-1 + 0)/(11/51).
55
Let k = 21005/8 - 2621. Let h = 1396 - 5661/4. Find the common denominator of k and h.
8
Let q(j) = -j - 1. What is the common denominator of 13/4 and q(-12)?
4
Suppose 0 = 2*b + b + v - 13, 0 = -v - 5. Suppose -3*h = -h - b. What is the least common multiple of h and 10?
30
Calculate the lowest common multiple of 4 and (-14)/4*12/(-7).
12
Suppose 3 = -2*y + 7. Let i be 1/((-1)/y)*-4. Suppose 5*m - 3*m = i. Calculate the lowest common multiple of 10 and m.
20
Let g(c) = -c - 1. Let h be g(4). Let a = h + 7. Let v(k) = k + 2. Calculate the smallest common multiple of a and v(6).
8
Let l(j) be the first derivative of j**2/2 + 12*j + 2. What is the smallest common multiple of 22 and l(0)?
132
Let f = -327/26 - -1790/117. What is the common denominator of f and -113/60?
180
Let r = -3/59 + 95/708. What is the common denominator of -13/14 and r?
84
Suppose 5*o + 20 = -120. What is the common denominator of -21/2 and o/(-10) - (-3)/2?
10
Let b(i) = 4*i - 5. Calculate the smallest common multiple of 5 and b(3).
35
Suppose -2*i + i + 20 = 0. Let c be (36/15)/(2/i). What is the common denominator of ((-123)/c - -2) + 3 and 43/4?
8
What is the common denominator of -2 + 2 + ((-147)/15)/(-7) and -53/45?
45
Let p = -787 + 1334. Let s = p + -914. What is the common denominator of (-8)/28 + s/14 and 121/6?
6
Let a(d) = -d - 10. Let l(c) = -c - 11. Let h(j) = -4*a(j) + 3*l(j). Calculate the lowest common multiple of 7 and h(-4).