3*r. Let o(k) = -27 + 46 + 3*k + 0*k - 31. What is the least common multiple of f and o(5)?
15
Let h(k) = 7*k - 2. Let v be h(-5). Let r = 259/6 + v. What is the common denominator of r and 404/48 + -1 + 5?
12
Suppose 5*x - 4*d = 3*x + 10, 5*d = -x - 16. Let i be (-1)/((x/(-2))/(141/6)). Let s = i - -59. What is the lowest common multiple of s and 12?
12
Let y = 232 - 491. Let v = y + 385. Let s = v - 92. Calculate the lowest common multiple of s and 2.
34
Let h = -135465 - -52966772/391. What is the common denominator of h and 40/9?
3519
Let k = 1836 - 1828. Let b(d) = 6*d**2 - 9. Let p(u) = 5*u**2 + u - 9. Let n(r) = 6*b(r) - 7*p(r). Calculate the lowest common multiple of n(7) and k.
72
Calculate the common denominator of (1 - (-19477)/(-21120)) + (1680/(-495))/56 and 87/320.
640
Let d be (3/(3/34))/(8 - 9). Let u = -97 - d. Find the common denominator of 2 and (6/(-22))/(7/u).
11
Let c(d) = 66*d - 2935. Find the common denominator of c(45) and 9/861 - -1 - 1.
287
Suppose 0 = 2*k + 5*q - 10, 4*k + 2*q - 3 - 1 = 0. Let v(t) = 2*t**2 - 5*t + 16. Let x(r) = 7*r - 6. Calculate the lowest common multiple of v(k) and x(4).
176
What is the common denominator of ((-11 - 1) + (-6195)/(-420))*20/238 and -18/17?
238
Let m = -58979/110 + 2667/5. Let x = -1394771 + 16754623/12. Let j = x - 5707/4. What is the common denominator of m and j?
66
Let g = 531 - 638. What is the common denominator of -5/22 and (-52)/39 - g/60?
220
Suppose 28*i - 24*i = -52. Let y(l) = -31*l - 51. What is the smallest common multiple of 18 and y(i)?
3168
Find the common denominator of (2/(-6))/((-7)/3339*-48) and 63/368.
368
Let q be 4/3*(-5)/30*-27. Suppose -10*f + 5*i = -q*f - 62, f - 22 = -2*i. What is the smallest common multiple of f and 54?
54
Calculate the lowest common multiple of 1941 and (((-8)/(-6))/(1148/(-4305)))/((-2)/2).
9705
Let u = -1766 + 1783. Calculate the smallest common multiple of u and 1 - 1 - (-1 - 1).
34
Suppose 172*z - 183*z + 6248 = 0. Calculate the lowest common multiple of z and 284.
568
Let d = -41 - -29. Find the common denominator of (1 - (-4)/(-5)) + (-7154)/(-3430) and 191/12 - 4/d.
28
Let r = -9890409/215 + 46002. Calculate the common denominator of -51/14 and r.
3010
Suppose -2*r = 4*d - 220, -r - 304 = -5*d - 22. Calculate the lowest common multiple of 336 and d.
336
Calculate the smallest common multiple of ((60/8)/(-1))/(190/(-456)) and 13200.
39600
Let q(n) = n**3 + 2*n**2 - 170*n + 17. Let l be (-189435)/(-168) + (-4)/(-14). Let o = l + -1121. What is the common denominator of q(12) and o?
8
Suppose 3*p + 0*j = -4*j + 104, 71 = 2*p + 3*j. Calculate the lowest common multiple of 58 + -1 - (9/(-4))/((-39)/(-52)) and p.
420
Suppose -18*m + 16*m - 6 = 0. Let x be m/(-3*(-2)/(-8)) + 0. Suppose 0 = -s + x*s - 36. What is the lowest common multiple of s and 18?
36
Let g be (3 - 26/6)/((-1)/(-3)). Let j be (14 + g)*(-2)/(-5). What is the lowest common multiple of (-6)/(-2)*j*4/48 and 9?
9
Suppose 3 + 1 = g + 2*i, -5*g = 2*i + 12. What is the least common multiple of ((-2)/(-4))/((-2)/(-88)) and 32/5*(3 - g/(-8))?
176
Let q = -72 - -10. Let u = q - -58. Calculate the common denominator of (-194)/(-36) + 0 + u/(-18) and 62/21.
126
Let b = 18 - 12. Suppose 4*j - 14*k = -16*k - 16, -j = -2*k + 4. Let z = b + j. Calculate the smallest common multiple of 16 and z.
16
Let y = 24 - 14. Suppose -4*g + 20 = 0, 0 = r - 4*r + 2*g + 14. Let k(d) = d**3 - 10*d**2 + 18*d - 8. Calculate the least common multiple of y and k(r).
40
Let g be -3 + (-36)/(-16) + 92202/(-8112). Let t = -3/338 + g. What is the common denominator of 105/52 and t?
104
What is the common denominator of -119/114 and 6/15 + 52/20 + 9080/(-2660)?
798
Let i(y) = -y**2 - 12*y + 38. Let d be i(-14). Suppose -8*l + d*l = 80. Calculate the lowest common multiple of 26 and l.
520
Let f = -15896 - -18376. What is the least common multiple of f and 1040?
32240
Let j = -617/17 - -415275/11441. Let u = j + -24967/22209. What is the common denominator of u and 89/72?
792
Let b(i) = -95 + 2*i - 2*i + 100 - 4*i. Let h be b(1). Calculate the common denominator of 99/8 and ((-4220)/96)/(-5) - h/(-3).
8
Let m = 2817 + 4983. What is the common denominator of 1 + 15/(-13) - 30325/m and 17/70?
840
Suppose -146 = -2*h - 148, -3*v - 5*h = -187. What is the least common multiple of v and 544?
1088
Let s(w) = 6*w**2 - 17*w + 90. Let m = 406 - 401. Calculate the lowest common multiple of s(m) and 10.
310
Let p(o) be the second derivative of o**3/2 + 5*o**2 - 3*o. Let v be p(-4). Calculate the least common multiple of 8 and (1 + v)*(-4 + 10*-3).
136
Suppose -9*n + 3*n = -378. Suppose 4*k = n - 51. Suppose k*o - 4 = 11. Calculate the least common multiple of o and 18.
90
Let a = -18248/22275 + 64/81. Find the common denominator of a and 68/325.
3575
Let f be 4 + -1 + 6/3. Let x be ((-5)/((-5)/4))/(f/(-25)). Let u = x - -28. Calculate the lowest common multiple of u and 20.
40
Let j = -5800 - -8078. Calculate the lowest common multiple of j and 5.
11390
Let w(f) = -f**3 + 12*f**2 - 6*f + 23. Let i be w(12). Find the common denominator of 31/(-1)*1/(-4) and i/(-22) + (-72)/(-33) + -2.
44
Calculate the common denominator of -71/303 and -34 + (-102)/(-17) + -12.
303
Let a(w) = -15*w + 3. Let x be a(-3). Suppose -3*p + 30 = 5*g, 0 = 5*g + 4*p + 18 - x. Suppose -g*z - 6 = -12*z. What is the lowest common multiple of 34 and z?
34
Let o be (3 - (-52)/(-20))*55/2. Suppose -4*f = -5*m + 266, -7*m - 4*f - 212 = -o*m. Suppose -63 = -3*h - 9. Calculate the smallest common multiple of h and m.
54
Let v be -21*(-1 + 0)/3. Let k(j) = -2 + 39*j**2 + v*j - 15*j**2 - 23*j**2. What is the lowest common multiple of 10 and k(-8)?
30
Suppose 0 = 4*c - 37 - 19. Let d(h) = 3*h**2 - 19*h + 40. Suppose 20*u + 9 = 23*u. What is the least common multiple of d(u) and c?
70
What is the least common multiple of (1779/(-12) + 13/52)*(-1)/4 and 15?
555
Suppose v + 48 = 5*v. What is the lowest common multiple of ((-48)/(-56))/((-4)/(-336)) and v?
72
Let i = 120 - 104. Suppose -55 = -3*l + 29. Let y = l + -6. What is the least common multiple of i and y?
176
Calculate the common denominator of 69/7310 and 246/2829 + (-5109)/(-5520).
58480
Let h(g) = -2*g + 8. Let b be (2 + -3)*(-10 + 9). Let f be ((-3)/(-4))/(b/4). Calculate the lowest common multiple of 26 and h(f).
26
Suppose -4*d = -2*d + 3938. Let u be (-3157960)/1600 + (-2)/(-20). Let a = d - u. Calculate the common denominator of a and -97/58.
232
Let k = 279637/190 + -7284/5. Let b = -6199/532 + k. What is the common denominator of 91/32 and b?
224
Suppose -717*g - 206 = -5*k - 715*g, -2*k + 3*g = -78. Suppose 3*a = -72 + 366. What is the lowest common multiple of a and k?
294
Let m(o) = -37*o + 59. Let z be m(7). Calculate the common denominator of (5882/z)/17 - 1/(-4) and 1 + -3 + 170/4.
50
Let u be (12 - (-7 + 20))/(1/2). Calculate the common denominator of 1260/44*u/12 and 57/50.
550
Suppose 8*a = 4*l - 1184, -5*a + a = 0. What is the least common multiple of 74 and l?
296
Let p = 3049 - 2509. Calculate the smallest common multiple of p and 36.
540
Let l = -128551/90 + 7141/5. What is the common denominator of l and 181/840?
2520
Let t be (1 - -2)*(2 - (8 - 3)). Let o = t - -5. Let c(d) = d**3 + 6*d**2 + 4*d + 4. Calculate the least common multiple of 8 and c(o).
40
Suppose 47*b + 570 = -20*b + 2111. Let w be (9 - 13) + (-664)/(-169). Let j = -9215/10647 + w. Find the common denominator of b and j.
63
Suppose -4*x = -3*w + 348, 3*w - 3*x = -x + 342. Suppose 0 = w*q - 104*q - 416. Calculate the least common multiple of q and 22.
572
Suppose 32*d = 37*d - 25. Suppose 0 = -d*c + 10*c - 4*f + 348, -2*c - 142 = -3*f. Find the common denominator of (c/5)/(81/(-15)) and 50/21.
189
Let n = -30329/3 - -10089. Suppose 4*y + 0*y = 8. Suppose -3*z - 30 = y*z. What is the common denominator of z and n?
3
Let k = 31588 + -126267/4. What is the common denominator of 53/3681 and k?
14724
Let o = 362 - 362. Suppose 2*x - 42 - 6 = o. What is the lowest common multiple of x and 93?
744
Find the common denominator of 11 - (-17 + 16 - -2) - 1011/108 and -2 - ((-115)/54 + 1).
108
Let o = 1385 + -581. Let x be 5/o*-482 + 1 + 2. Let u = -10247/1608 - x. Find the common denominator of u and 85/4.
8
Let u be 