
Suppose -f = 1 - 3. What is the least common multiple of f and 7?
14
Suppose y - 2 = 3. Let i(f) = -2*f - 9. Let p be i(-7). Suppose -4 + 0 = -r + 4*w, -p*r + 80 = -y*w. What is the least common multiple of r and 6?
60
Let n be 1*(-3)/(-6)*26. Let j = n - -7. Calculate the smallest common multiple of 22 and j.
220
Suppose -3*t = -t - 14. Let y = -4 + t. Suppose 0*l + 3*k = 3*l + 3, 5*k - 6 = 4*l. What is the least common multiple of l and y?
3
Let h(y) = -y**2 + 8*y - 4. Let g be h(8). Let j(u) = u**3 + 4*u**2 - 3*u + 2. What is the smallest common multiple of 12 and j(g)?
84
Suppose 9*c - 36 = 3*c. Suppose a - 131 = -5*g, 3*a - 4*g = -9*g + 403. Calculate the lowest common multiple of a/14 + (-4)/(-14) and c.
30
Let a be (1/(-2))/(3/(-108)). Let b be (24/18)/((-4)/a). Calculate the common denominator of 77/10 and (-4)/(-9)*(-21)/b.
90
Let d = 500 + -749. Suppose -5*i + 5 = -0*i. What is the common denominator of -49/2 and (d/(-12))/(i*-1)?
4
Calculate the common denominator of 1070/108*81/(-270) and -59/8.
72
Let a(p) = p - 4. Calculate the lowest common multiple of a(6) and ((-132)/(-9))/((-2)/(-3)).
22
Suppose 0 = 6*z - 43 + 259. Suppose 6*b = 2*b - 40. Find the common denominator of -77/12 and (-4)/(-16) - z/b.
60
Calculate the common denominator of 41/18 and 2382/(-252) - 2/14*-2.
18
Suppose -5*z - 1104 = -3*z. What is the smallest common multiple of 14 and (-4)/10 + z/(-30)?
126
Suppose -36 = 3*d - 3*k + 6*k, -d + 3*k + 8 = 0. What is the common denominator of (d/(-22))/((-4)/(-52)) and -51/16?
176
What is the smallest common multiple of 6/4*(-182)/(-39) and 3?
21
Let q be (1/1)/(1/5). What is the smallest common multiple of 1*4 + (q - 2) and 7?
7
Let k = -1/2795 + -164896/25155. What is the common denominator of -27/10 and k?
90
Let y(t) = -12*t**3 - 2*t**2 + 1. Let r be y(1). Let i(l) = -l**2 - 8*l. Let v be i(-9). Let x = v - r. Calculate the smallest common multiple of x and 3.
12
Let d(t) = 2*t**2 - t + 2. Let b be d(2). Let f = 16 - b. Calculate the least common multiple of f and 12.
24
Let v(w) = -39*w - 8. Let u be v(-7). Suppose u = 4*m - 4*f - 407, 15 = -5*f. What is the common denominator of 7/22 and (m/25)/(8/(-10))?
44
Suppose -5*c = -4*n - 11, 0*n - 3*c + 7 = -2*n. Let q be -1 - n*(-2 + -3). Calculate the common denominator of ((-154)/8)/((-10)/q) and 49/8.
40
Let x(n) = -2*n**3 - 8*n**2 + 11*n - 1. Let g be x(-10). What is the common denominator of -59/16 and 2/10 + g/30?
16
Suppose 2*f + 780 = -3*f. Let r = -1181/8 - f. Find the common denominator of r and ((-12)/3)/((-22)/(-33)).
8
Let r = -64 + 76. Calculate the least common multiple of r and 20.
60
What is the common denominator of (-799)/(-70) - (-8)/28 and 31/10?
10
Suppose 100 - 28 = 4*l. Suppose 5*g - 17 = l. Let f = 10 - -1. Calculate the smallest common multiple of g and f.
77
Suppose 0 = u + 2*u. Suppose u = 2*w - w - 8. What is the lowest common multiple of w and 40?
40
Suppose -8 = 3*u - 7*u. Suppose -z + u = -12. What is the least common multiple of z and 4?
28
Suppose 3*d = 6, 3*b = -5*d + 26 + 23. Let k = 13 + b. What is the least common multiple of 12 and k?
156
Let o(i) = -i**3 + 6*i**2 - 5*i + 4. Calculate the smallest common multiple of o(3) and 2.
16
Calculate the common denominator of -2*(-4 + 51/15) and 83/4.
20
Let b = -6958691/198 - -35145. Let s be (4/22)/((-18)/(-997)). Let g = b + s. Calculate the common denominator of g and -19/11.
66
What is the smallest common multiple of 378/10 - 0 - 57/(-285) and -2 - (-1 + 0) - -19?
342
Let k = 33353/8 + -4175. Let v = -7 + 4. Find the common denominator of k and ((-1)/24)/(v/(-268)).
72
Suppose -5*w - 3*a + 246 = -a, 4*w - 180 = 4*a. Calculate the common denominator of w and (-88)/(-18) + 1/(-3).
9
Suppose 4*t + 6 = 30. Let v(z) = -z - 5. What is the least common multiple of t and v(-9)?
12
Let h = -3139/141 + -66/47. Calculate the common denominator of h and -2/5.
15
Let u(x) = -x - 13. Let j be u(-4). Suppose 3*i = 3*b - 105, -98 = 2*b - 5*b - 4*i. Find the common denominator of 85/2 and 1*(j/3 + b).
2
Let d be 10/2*(-94)/(-4). Let j = -125 + d. Let r = -2460 + 29377/12. What is the common denominator of r and j?
12
Let x = 661 - 3955/6. What is the common denominator of 73/9 and x?
18
Let r = -71822/6905 + 2/1381. What is the common denominator of 113/6 and r?
30
Suppose 4*s - 45788 = 4*w, s = 4*s - 5*w - 34347. Let h be s/(-12)*(-3)/(-8). Let x = h + 370. What is the common denominator of 89/14 and x?
56
Let c(q) = -q**3 - 6*q**2 + 16*q + 20. Let d(w) = 2*w**2 - 2. Calculate the least common multiple of d(2) and c(-8).
60
Let s(y) = y**2 - 6*y - 5. Suppose r = 3*t - 7*t + 30, -3*r = t - 13. What is the lowest common multiple of s(t) and 11?
22
Let a be (11 + -15)/(10/(-73)). Let x = -181/30 + a. Calculate the common denominator of x and -45/2.
6
Let c(o) = -o**2 - o + 2. Let h be c(4). Calculate the least common multiple of 5 and (-4)/(-3)*h/(-4).
30
Let k be ((-421)/10)/(6/830). Let j = 5842 + k. What is the common denominator of (-143)/12 - (16/12 - 2) and j?
12
Let n be -1 - (-6)/(1 - -2). Suppose 2*g - 3*r - 11 = g, r + n = -g. What is the smallest common multiple of g and 3?
6
Let h = 51677/12 + -4310. Calculate the common denominator of -3/10 and h.
60
Suppose 0 = -c - 5*c + 228. What is the least common multiple of 5 and c?
190
Let i = -133 + 189. What is the smallest common multiple of 20 and i?
280
Let b = 788/3 - 255. Calculate the common denominator of -61/3 and b.
3
Let o = -30 - -60. Suppose -d + o = -6*d. Let k(w) = -w**2 - 6*w + 6. What is the lowest common multiple of k(d) and 6?
6
Find the common denominator of 97/10 and 3/(-1) - (-105)/(-36).
60
Let z(q) = -q**2 + 19*q + 22. Let h be z(16). Let t = 47 - h. Calculate the common denominator of t and -9/10.
10
Find the common denominator of -101/8 and 10/8*938/595.
136
Let o be (-1 - -2)*1*2. Calculate the least common multiple of 5 and -6 + 7 + 2*o.
5
Suppose 112 = -4*d + 11*d. Let f = -103 + 48. Calculate the lowest common multiple of ((-8)/(-10))/((-2)/f) and d.
176
Suppose x - 7 - 1 = 0. Let l = -12 - -18. Let i = x + l. What is the smallest common multiple of 8 and i?
56
Suppose -v + 4*v = 6. Suppose -w = -2*d + 4, d - 13 = -v*d - 2*w. Suppose -d*r + 2*r = -3. What is the least common multiple of r and 3?
3
Let t be 1 + 0 + (49 - 5). Suppose -4*s - t = s. What is the smallest common multiple of 16 and s/(-3)*(-20)/(-3)?
80
Suppose -6 = -3*b - 0. What is the smallest common multiple of 10 and b?
10
Let l(d) be the first derivative of d**3/3 - 3*d**2/2 + 4*d - 5. Let q(s) = -s. Calculate the least common multiple of q(-4) and l(4).
8
Let g = -685/2 + 321. Calculate the common denominator of g and -23/20.
20
Let z = -942/11 + 10179/110. Find the common denominator of ((-28)/(-3))/(36/(-54)) and z.
10
Let w(z) = -z + 6. What is the least common multiple of 22 and w(-16)?
22
Let p(x) = 1 - 10 - 7*x + 4*x. Let v = 41 - 27. Calculate the lowest common multiple of v and p(-7).
84
Let x = -613 - -4246/7. What is the common denominator of x and -1/5?
35
Suppose -5*c = 1 - 41. Suppose u - c = -0*u. Calculate the lowest common multiple of 8 and u.
8
Let h = -14 + 21. Let u(l) = 2*l - 10. What is the smallest common multiple of u(h) and 5?
20
Let v be -2 + (-220 + 3 - -1). What is the lowest common multiple of 4 and (-2)/12 - v/12?
36
Let j be ((-3)/5)/((-2)/20). Suppose 0 = -0*n + 3*n - j. Suppose -3*g = -3*x + 12, 0 = 4*x + n*g - 20 - 26. What is the smallest common multiple of x and 2?
18
Calculate the smallest common multiple of 27 and ((-2)/6*2)/((-6)/81).
27
Let y be (8/(-40944))/((-2)/202233). Let x = -6/853 + y. Calculate the common denominator of x and 20/3.
12
Let y = 27329/4662 - 65/259. What is the common denominator of ((-956)/72 - -4) + -1 + 2 and y?
18
Let r = 1393/220 + -46/11. What is the common denominator of r and 43/2?
20
Calculate the lowest common multiple of 156/7 + 3*12/(-126) and (-6)/9 + 186/9.
220
Suppose -17 = -2*m + 3*m - 4*l, 5*m = 4*l - 5. Suppose -3*o - o + 37 = m*f, 0 = -o - f + 10. What is the smallest common multiple of o and 11?
77
Let g = 515/2 - 245. Let j be -1 + 27/3 + -2. What is the common denominator of g and (-1)/(-6)*(-214)/j?
18
Let k be 6/(-10) + (-108)/20. What is the common denominator of -