0. What is the common denominator of h and 37/315?
1890
Suppose 3*y - 4*p + 2 = -0*p, 8 = 3*y + p. Calculate the least common multiple of y and 378.
378
Suppose 3*r = 5*r - 4. Suppose 0*v - 5*v + 37 = 4*s, -2*v + r*s + 22 = 0. Calculate the lowest common multiple of v and 24.
72
Let d(g) = -3*g. Let w(s) = -16*s. Let k(l) = -28*d(l) + 5*w(l). Let q be k(8). Calculate the smallest common multiple of ((-45)/12)/((-12)/q) and 8.
40
Suppose 0 = -2*g + 4*w - 8, -g + w = -2*w + 9. Let i(d) = 2*d + 4. Let p be i(-4). Let v = 9 + p. Calculate the least common multiple of g and v.
30
Let m = 1/3280 - 23617/3280. Let g = 2/113 + 208/1017. Calculate the common denominator of m and g.
45
Suppose -6*l - 6 = -0. Let a(z) = -17*z - 8. Calculate the smallest common multiple of 1 and a(l).
9
Let i = -36750293/174 - -211208. Find the common denominator of 97/10 and i.
870
Suppose -27 = -2*i + 3*z, 2*i - 4*z - 38 + 14 = 0. Let u(f) = -4*f + 8. Calculate the least common multiple of i and u(-4).
72
Suppose -2*v = 4*p - 66, 3*p + 34 - 136 = -3*v. What is the smallest common multiple of 70 and v?
70
Let c = 39 + -33. Suppose -c*w + 81 - 3 = 0. What is the lowest common multiple of w and 4?
52
What is the least common multiple of (-16 + 4)*(-2)/3 and ((-2)/(-8))/(6/24)?
8
What is the smallest common multiple of 174 and 174/(((-24)/15)/(-8)*5)?
174
Find the common denominator of -3/110 and (-12 - (-605)/50) + (-14)/16.
440
Let f(y) = -6*y**3 + y + 2. Let g be f(-2). Let h = -1/919 - -24817/3676. Calculate the common denominator of h and 0 + 6 - 8/g.
12
Suppose -173*h - 25 = -174*h. Calculate the smallest common multiple of h and 185.
925
Let j(d) = 7*d**3 - 4*d + 7. What is the lowest common multiple of j(3) and 18?
1656
Suppose -5*j - 10 = 0, 4*j = -2*s - 0*j + 28. Calculate the lowest common multiple of 12 and s.
36
Suppose 28 + 0 = 4*m. Let y(z) = -z**3 + 12*z**2 - 21*z - 8. Let k be y(10). Let q(x) = -x - 17. What is the lowest common multiple of q(k) and m?
7
Let g = 209/468 + -3/52. What is the common denominator of 109/12 and g?
36
Let v(k) = -5*k + 32. Calculate the least common multiple of 50 and v(4).
300
Let j = -136 + 164. Calculate the smallest common multiple of 28 and j.
28
Suppose 0 = -3*b - 102 - 168. Let o = b - -105. What is the smallest common multiple of o and 9?
45
Let b(s) = 3*s**3 - 40*s**2 + 7*s + 25. Let d(h) = -h**3 + 13*h**2 - 2*h - 8. Let j(g) = -2*b(g) - 7*d(g). What is the smallest common multiple of 4 and j(11)?
12
Let o = 6 - 3. Suppose -o*u = u - 12. Let i = 6 + u. Calculate the least common multiple of 11 and i.
99
Let c be (-7)/((-28)/24) + 2. Suppose u = -u + c. Let m = -9 + 18. Calculate the least common multiple of m and u.
36
Let t = -267/224 + -3/32. Let h = 59 + -55. Calculate the common denominator of t and (-4)/(-18) - (h - (-1160)/(-126)).
7
Let s = 1785005/132 - 13523. Calculate the common denominator of s and -51/14.
924
Suppose 9*h - 360 = 6*h - 5*u, -2*u - 454 = -4*h. Calculate the least common multiple of h and 230.
230
Let r = -370 + 380. Calculate the smallest common multiple of 1 and r.
10
Let i = -635796/11 + 978488350/16929. Let b = i + 52828331/21546. Let c = b - 2448. What is the common denominator of -27/2 and c?
14
Let q = -61/56 + 68/7. Calculate the common denominator of 2 + 144/(-60) - (-377)/30 and q.
24
Calculate the common denominator of 206/12 + 12 + -7 and -67/148.
444
Let a = -227/36 + 473/144. Let o = 108610/21 - 5168. Find the common denominator of o and a.
336
Let r = -587 + 1117/2. Suppose 0 = 242*y - 241*y - 330. What is the common denominator of r and (-1572)/y + 5/((-50)/(-4))?
22
Suppose -4*h - p - 4*p = -782, 5*h = -4*p + 982. What is the smallest common multiple of 27 and h?
594
Find the common denominator of (-175)/(-150)*184/14 and -15/19.
57
Suppose -m + 2*d + 33 = 30, -2*d = -3*m + 9. Suppose 0 = -5*q + 3 + 2. Suppose m*y + q = 10. What is the smallest common multiple of 11 and y?
33
Suppose 228 = 24*u - 156. Calculate the least common multiple of u and 242.
1936
Let g = 12 + -8. Let v(m) = m**3 - 3*m**2 - 3*m - 1. Let u be v(g). What is the common denominator of (-90)/(-8) - (u + -4) and -41/16?
16
Let s(k) = 4*k**3 + 7*k**2 - 11*k + 1. What is the lowest common multiple of s(2) and 7?
273
Let y(x) = -2*x - 16. Let v be y(-8). Suppose 10 = 5*k - v*k. Suppose 8 = 4*g, 4*u + 0*u = k*g + 84. What is the smallest common multiple of 2 and u?
22
Let i be 16/(-7) + 24/84. Let z be i + 2526278/(-401520)*-2. Let k = 2/8365 - z. What is the common denominator of k and 25/12?
12
Let v = -116 + 67. Let c = -27 - v. Calculate the smallest common multiple of c and 4.
44
Let t = -231/34 - 46/17. Find the common denominator of t and (-17*38/(-323))/((-22)/36).
22
Find the common denominator of -65/147 and 10/4 - 5910/1620.
1323
Let j be 132*((-9)/(-6))/3. Suppose 4*y = 3*f - j, 3*y + 0*y = -3*f - 60. What is the common denominator of -7/20 and ((-84)/64)/(y/56)?
60
Suppose 1297 = 8*d - 143. Calculate the smallest common multiple of 1/2*d/9 and 22.
110
Let h = 217322 - 2384752/11. Let i = -33871/66 + h. Calculate the common denominator of i and -47/114.
114
Suppose -4*t + 3*g = -17, 2*t - 2*g = -3*t + 30. Calculate the common denominator of (t/20)/((-8)/113) and (-9)/(-1) + -2 + 295/(-50).
20
Suppose -l - 72 = -5*l. Calculate the lowest common multiple of (-2 - ((-39)/9 - -2))*66 and l.
198
Suppose 2*u - 14 = -22. Calculate the common denominator of 45/4 and -2*((-6)/(-28))/(u/(-34)).
28
Let d = -395 + 397. What is the least common multiple of 11 and d?
22
Let i be 1/((-40)/(-15) - 3). Calculate the least common multiple of (-2)/(i*(-5)/(-150)) and 6.
60
Find the common denominator of 95/2 and -4 + (-7 - (-2817)/198).
22
Suppose -5*h + m = -1 - 29, 0 = -4*h - 3*m + 24. Calculate the lowest common multiple of 50 and h.
150
Let p(r) = 3*r + 2. Let l be p(-3). Let a be 1/l*(-115142)/4. Let q = a + -4114. Calculate the common denominator of 99/2 and q.
14
Let s = 13 - 3. Let d = -50 - -54. Calculate the least common multiple of s and d.
20
Let c = 36901/8 - 4625. Let y be 7/(-14) + (-13)/(-2). Calculate the common denominator of c and ((-93)/(-9))/((-10)/y).
40
Let i be (-66338)/(-129976) + (-2)/(-7). Let h = -3/4642 + i. Calculate the common denominator of -73/4 and h.
44
Let y = 9 + -13. Let k = 12 - y. Find the common denominator of -19/16 and 20/k*(-81)/25.
80
Let j = 9978/13 + -767. What is the common denominator of (-21)/30*(3 + (-9)/(-1)) and j?
65
Let i = -10326941/56 + 184417. Let u = 8/113 + 2713/1582. Let l = u + i. What is the common denominator of 1/12 and l?
24
Suppose 0 = 2*u + 3*m + 13, -3*u + 4*m = -7*u - 16. Find the common denominator of ((-109)/3*u)/(-4) and 5/8.
24
Let i(m) = -33*m - 2. Let t be i(1). Suppose -d + 3 = -37. Let p = d + t. Calculate the smallest common multiple of 13 and p.
65
Suppose 5*o - 11040 = x - 36789, 0 = -3*o. Let g = 104633/4 - x. Let a = g - 1222/3. Calculate the common denominator of a and 33/4.
12
Suppose 6*b + 0*b - 24 = 0. Suppose -z + 47 - 13 = 0. Calculate the lowest common multiple of b and z.
68
Suppose -4*w = -3*w - 2. Suppose 5*z = 7 + 13. What is the least common multiple of z and (-96)/(-9) - w/3?
20
Let v(w) = -w**2 - 22*w - 24. Let z be v(-21). Let y be -30 + 3 + z + 1. Let q = y - -35. Calculate the least common multiple of q and 6.
6
Let o(m) = m**2 - 9*m - 44. Let b(i) = 3*i**3 - i**2 - 3*i - 1. Let n be b(2). What is the least common multiple of o(n) and 9?
72
Let t(j) = -12*j. Let r(b) = 5*b - 50 - 3*b + b - 2*b + b**2. What is the common denominator of r(0) and t(3)?
1
Let p = -57 - -63. Calculate the smallest common multiple of p and (-4 - -5)*(2 + -1).
6
Calculate the common denominator of -89/22 and ((-222)/56)/(-1*(0 - -3)).
308
Suppose -4*z + 14 + 2 = 0. What is the lowest common multiple of z and 4?
4
Suppose 5*d + 3*y - 38 = 2*y, 0 = 5*d - y - 32. Let g = 37 - 18. Let u = g - 12. What is the smallest common multiple of u and d?
7
Calculate the smallest common multiple of 17 and -6*(39/52)/((-3)/26).
663
Let f(j) = -j**3 - 3*j**2 - 4*j + 6. What is the lowest common multiple of 290 and f(-3)?
2610
Let o(v) = v**2 + 7*v + 2. Let a be o(-6). Let i = a - 2. Let q = 5 - i. What is the lowest common multiple of 11 and q?
11
Suppose 55