3
Let y(s) = -6*s - 6. Let v(j) = -5*j - 6. Let b(h) = -4*v(h) + 3*y(h). Let x(g) = 10*g**2 + g - 1. Calculate the least common multiple of b(9) and x(1).
120
Calculate the lowest common multiple of 66 and 21/(-2)*(-336)/196.
198
Let o be -1*(-185)/(-30) + (-2)/(-12). What is the smallest common multiple of 4/(2*(-12)/o) and 11?
11
Let t(o) = o**3 - 2*o**2 - 6*o + 48. Calculate the least common multiple of t(0) and 120.
240
Let d = -39 + 68. What is the common denominator of 1/30*d - 0 and -23/18?
90
Let h = 28 + -8. Let t = 5 - 5. Suppose 0*z - 3*z = -5*i + 119, t = z + 3. Calculate the smallest common multiple of i and h.
220
Suppose -25 = -8*w + 3*w. Suppose -w*m = -2*f - 68, f + 71 = 5*m + 2*f. Suppose 29*c = -9*c + 456. Calculate the least common multiple of m and c.
84
Let t be ((-22655)/9)/1 + (-12)/(-18). Let c = 2513 + t. Find the common denominator of 36/35 and c.
315
Suppose -4*d + 957 = 3*y, -689 = -4*d + 2*y + 293. Calculate the lowest common multiple of d and 10.
2430
Let q = 85 - 79. What is the smallest common multiple of 12 and q?
12
Let y(l) = -4*l + 21. Let r be y(5). Let o(t) = 18*t - 2. What is the smallest common multiple of 8 and o(r)?
16
Let k(j) = -20*j + 180. Calculate the least common multiple of k(2) and 14.
140
Let w = -36719/5370 + 4/895. Calculate the common denominator of (-23)/(759/1276)*(-3)/12 and w.
6
Let l = -15905/9393 + 196/101. What is the common denominator of 111/10 and l?
930
Let b = 6322/63 - 710189/693. Let c = -920 - b. Let p = 8813/730 - -2/73. What is the common denominator of p and c?
110
Suppose -4*s + 3*b = 15, 3*b + 21 = s - 3*s. Find the common denominator of 107/10 and ((-2)/30)/(s/(-755)).
90
Suppose -62 = -4*a - 26. Let q = a - 4. Suppose q*p + 11 = 31. What is the lowest common multiple of 8 and p?
8
Let s = 62152 - 11187451/180. Calculate the common denominator of 13/140 and s.
1260
Let p be (-5 + -244)/(3/4). Let b = 653 + p. Calculate the common denominator of -83/6 and (-2 - -1) + b/66.
66
Suppose 0 = -2*r + 7*r. Let j = 14 + r. Let d(u) = 6*u - 4. What is the least common multiple of d(3) and j?
14
Suppose 3 = -0*w + w - 2*c, 4*w - c = -16. Calculate the common denominator of 366/585 + (-2)/w and 11/9.
117
Calculate the common denominator of 34/5 and ((-1)/(20/(-3)))/(2580/3650).
1720
Suppose -v - 16 = 4*g - 0, -5*v + 4*g + 40 = 0. Calculate the least common multiple of 72 and v.
72
Let k = -605 - -2385/4. What is the common denominator of (1 + -3)/(100/535) and k?
20
Let b = 1823 + -32951/18. Calculate the common denominator of b and 113/156.
468
Let n = -34 + 68. What is the smallest common multiple of 1 and 2/3*153/n?
3
Let f = -7747/4 - -139417/72. Calculate the common denominator of f and -37/81.
648
Suppose 4*p + 5 = 37. Suppose 6*d = p*d - 140. Calculate the lowest common multiple of d and 16.
560
Let q be (79/4)/((-1)/23). Let v = 458 + q. What is the common denominator of v and -39/5?
20
Suppose 5*h + 1 - 2 = -3*g, -3*h + g + 9 = 0. Suppose -4*s + h = s + 2*w, w = 4*s - 12. Calculate the smallest common multiple of 3 and s.
6
Let m = 378 - 288. What is the smallest common multiple of 20 and m?
180
Calculate the common denominator of -17/24 and ((-45)/6 + 7)/(15/(-187)).
120
What is the least common multiple of 9 and 1*-7*(-27 + 18)?
63
Let z be ((-15)/(-5))/((-6)/(-80)). Let u = -34 + z. What is the lowest common multiple of 8 and u?
24
Let h(d) = d**2 + 8*d + 17. Let b be h(-5). Suppose b*f = -2*t + 9 + 1, f - 4*t = 10. Calculate the lowest common multiple of 14 and f.
42
Suppose -3*i = 5*u + 59 + 34, 5*u + i + 91 = 0. What is the common denominator of (448/u)/8 + 0 and -4/9?
9
Calculate the common denominator of -129/470 and 10283/(-63544) - (-4)/26.
1880
Let u(k) = -k**3 - 8*k**2 + 3*k - 4. Let l be u(-9). Suppose 6*i + 70 = -y + i, -5*i = -y - l. Let s = y - -14. Calculate the common denominator of 7/11 and s.
11
Let p = -10439 + 19489/2. Let s = 723 + p. What is the common denominator of (-382)/30 - 2/(-6) and s?
10
Let t = -4418 - 184. Let b = -9326 - t. Let g = b - -66099/14. What is the common denominator of g and -19/4?
28
Let s = -14479 + 695053/48. What is the common denominator of s and 55/84?
336
Suppose -16*d - 93 + 413 = 0. Suppose -34 = 4*u + 2*a, 6*u - 3*u = -a - 23. Let j(s) = s**2 + 4*s - 8. Calculate the least common multiple of j(u) and d.
20
Let z(g) = -g**2 - 32*g + 784. Suppose 0 = -b + 6*v - 2*v + 20, 2*b - 2*v - 46 = 0. What is the smallest common multiple of z(16) and b?
48
Let q be 1*12*(-4 + 5). Suppose 0 = 3*n - q. Calculate the lowest common multiple of 4 and n.
4
Let x = 4311/1022 + -11/146. What is the common denominator of x and 19/2901?
20307
Suppose 241 - 17 = 28*z. Calculate the smallest common multiple of z and 44.
88
Suppose 4 = 3*i + 16. Calculate the common denominator of (-33*(-45)/10)/(i - -1) and 37/(-4) - 3/6.
4
Let l = 1722 + -27489/16. What is the common denominator of l and -77/4?
16
Let l be (8781/(-15) + 1)/((-45)/75). Let f = 823732 + -9050326/11. Let j = l - f. What is the common denominator of j and 9/11?
11
Let s = -12 + 110. Calculate the smallest common multiple of 70 and s.
490
Let n = -4140701/13902 + -956/2317. Let p = -2040/7 - n. Find the common denominator of p and 2*(62/(-18) + 1).
18
Suppose 3*i = 4*a - 8, -3*a - 1 = -i - 2. Let w = 51 - 11. What is the common denominator of -81/26 and (30/w)/(a/6)?
26
What is the lowest common multiple of 2 - (-1 + (-54)/2) and -9*(10/30 - 8/6)?
90
What is the common denominator of (147/(-308))/(-1)*(8 - 2) and 53/616?
616
Let k(s) = 2*s**2 + 3*s - 3. Let w be k(-6). Let d be (-50)/(-4)*((-5)/(-25) + -1). What is the common denominator of -67/22 and w/4 + (-5)/d?
44
Let n(x) = -x**2 + 2. Let p be n(-2). Calculate the smallest common multiple of (0 - 4)/p*(-13)/(-2) and 7.
91
Let l be (-19)/(-4) - (-2)/8. Suppose -2*t + 4*n = -34, 0 = l*n - 2 - 3. What is the common denominator of 66/(-5)*t/380 and -137/12?
300
Let a be ((-2)/3)/(12/(-36)). Calculate the least common multiple of (a - -4)/((-18)/(-12)) and 29.
116
Let w(z) = -2*z**3 - 15*z**2 + 9*z + 5. Let y be w(-8). Calculate the least common multiple of 7 and 6/6 - (-8)/(-1 - y).
35
Let v = 6 + -11. What is the common denominator of 7/20 and 125/(-24) - 5/v?
120
Let t(q) = q**3 - 48*q**2 - 48*q + 32. Calculate the smallest common multiple of 99 and t(49).
891
Suppose 0 = -5*x - 15, -5*x - 155 = -4*z - 4*x. Let n = z + -36. Calculate the smallest common multiple of 38 and n.
38
Let r(q) = -q**2 + 2*q + 3. Let i be r(5). Let t be (-8)/3*i/8. Suppose a - 3 = -2*h, -12 = h - t*h + a. Calculate the least common multiple of 10 and h.
30
Let p = -61673 - -617949/10. Let l = p + -812/5. Calculate the common denominator of 732/32*4*(-2)/42 and l.
14
Let v(y) = -y**3 + 10*y**2 - 9*y + 1. Let r(u) = u**2 + 8*u + 9. Let b be r(-8). Let q(m) = -m. Calculate the smallest common multiple of q(-4) and v(b).
4
Let t = 5642 + -45191/8. Let x = 3841/3 - 1257. What is the common denominator of x and t?
24
Suppose 0 = v - 5*v - 24. Suppose -3*p + 4*s = 4895, -8*p + 11*p + 2*s + 4865 = 0. Find the common denominator of v/(-8) + p/180 and -93/4.
36
Let r = -7 - -3. Let k = 2 + r. Let b = 4 - k. What is the lowest common multiple of 4 and b?
12
Suppose 4*g = 4*y - 12, -3*y - y = -g - 9. Suppose -3*o - d = 169, -4*o + 5*o - 5*d + 35 = 0. Calculate the common denominator of y and o/(-3)*-2*(-2)/(-8).
6
Let c = 8481/494 + -305/19. Let h be 36388/(-240) - (-1)/2. Let d = h - -2356/15. Find the common denominator of d and c.
260
Let m(r) = -r**2 + 21*r + 31. Let h be m(22). What is the common denominator of -45/8 and h/3 + (0 - (-201)/(-30))?
40
Let o(y) = y**3 - y**2 - y + 1. Let k be o(4). Let v = -83 + k. Suppose 4*l + 41 + 79 = 0. Calculate the common denominator of l and v.
1
Suppose 4*f + f + 20 = 0. Let s = f + 24. Suppose 2*y = -4*x + 88, 6*y - 4*y = -5*x + 110. What is the smallest common multiple of s and x?
220
Let z = -16 + -8. Calculate the common denominator of (-106)/10*20/z and -93/2.
6
Let g(d) be the third derivative of 13*d**5/30 + d**4/24 - 19*d**2. What is the lowest common multiple of g(1) and 12?
108
Calculate the common denominator of 2/5 + (-806)/(-60) - 2 and 32/141.
282
Let i(o) = 42*o - 2047. What is the lowest common mu