36
Let v = 724 - 692. Let k(f) = 18*f - 164. Calculate the lowest common multiple of k(10) and v.
32
Let u = 530 + -29162/55. Find the common denominator of 3 + (-724)/220 + 1 and u.
55
Suppose 0*i - 1497470 = 13*i. Let q = 2420045/21 + i. Let c = -35335/672 + q. What is the common denominator of 41/28 and c?
224
Suppose 0 = -x + 196 - 6. Let g(d) = d**3 + 49*d**2 + 136*d - 90. What is the smallest common multiple of g(-46) and x?
190
Let d = -52 + 8. Let p be -3*(-3)/(-18)*-3*d. Let j = p + 86. What is the least common multiple of j and 2?
20
Let a(s) be the second derivative of 0 + 29*s**2 - 10*s - 2/3*s**3. Calculate the lowest common multiple of a(13) and 5.
30
Calculate the common denominator of (-2)/(-10) - (1256/(-288) - (-32)/(-640)) and 874/462 + (-2)/7.
198
Let k = -16 - -17. What is the least common multiple of k and 6/4 - (1078/(-44) + 4)?
22
What is the smallest common multiple of (60/56)/(3/(-76))*-14 and 20?
380
Suppose 3*k = 4*k + 3, -3*z + 2*k = -1386. Calculate the common denominator of (-5819)/z - 5/(-4) and 101/40.
40
Let r = -330 - -339. What is the least common multiple of -4 - -3 - ((-4 - -1) + 1) and r?
9
Suppose 0*g + 33 = 11*g. Let q(i) = 43*i. Calculate the common denominator of g + 0 - (-2 - 119/(-13)) and q(1).
13
Let s be 522422/193494 + 10/(-35). Let a = -2/813 + s. Calculate the common denominator of a and 18/99 + (-878)/110.
85
Suppose 0*g = 3*g + h - 208, -g = 4*h - 84. Calculate the least common multiple of 1*(0 - -11) - 2 and g.
612
Let y = 286 + -77. Let c = y + -202. What is the smallest common multiple of c and 92?
644
Let v = -2597807/20 + 128714. Let b = v + 1174. Find the common denominator of b and 29/40.
40
Let w be 1*2 + 10/10. Suppose 4*f + 9 = -y, y - f = -w*f + 1. What is the lowest common multiple of ((-3813)/533 - 4/(-26))*-1 and y?
77
Suppose 10*r + 2*z = 7*r - 127, z - 184 = 4*r. What is the common denominator of ((-40)/32)/((-10)/r) and 47/496?
496
Let g(c) = -c**2 + 29*c + 61. Let y be g(30). Suppose 4*p - 400 = -4*a, 3*p + 26*a = y*a + 300. What is the lowest common multiple of p and 3?
300
Let d = -34273 - -1782205/52. Find the common denominator of d and -31/1430.
2860
Let y = -7218 + 11355. Calculate the least common multiple of y and 27.
37233
Let g = -88 + 97. Suppose -140 = -g*y + 6*y - 4*m, 0 = -2*y + 3*m + 65. What is the smallest common multiple of (12/10)/(1/20) and y?
120
Let x be -7 + -2 + -5 + 0. Let b = x - -18. Calculate the least common multiple of b and 73.
292
Let q = 14629 + -292703/20. What is the common denominator of 7 + (4 - 18935/1708) and q?
1220
Let o be ((70/(-1335))/(-7))/(1/2). Let m = o - -10049/534. Let h = -6942 + 201337/29. What is the common denominator of m and h?
174
Let u = 28769/6 + -4819. Let y be ((-8)/(-22))/2 - (-18160)/3575. Let f = y + 53/26. Calculate the common denominator of u and f.
30
What is the common denominator of 73/902 and 1/4*21*154/(-7749)?
8118
Suppose -23*m + 28*m - 4*z - 181 = 0, -100 = -2*m - 3*z. Suppose 0 = 5*p - 4*r - 20, -6*p + 14 = -3*p - 2*r. Calculate the smallest common multiple of m and p.
328
Let m = -23 - -39. Suppose 13 = h - 9. Let p = h - 14. What is the smallest common multiple of m and p?
16
What is the common denominator of -17/126 and (326/(-252))/(28/(-182) + (-192)/(-234))?
252
Suppose 3*g = 5*k - k + 52, -40 = -3*g + k. What is the lowest common multiple of 162 and g?
324
Suppose 2*w - 79 = -v - 83, 0 = -4*v + 2*w + 24. Calculate the lowest common multiple of 47 + -2 + 1/(-1) and v.
44
Let b be 3/(-5) + 3564/(-60). Let t = 6897 + -124049/18. What is the common denominator of t and -1 + 0 + (279/b)/1?
180
Let s = 539/100 - 49133/9700. Let m = s - -901/14550. What is the common denominator of m and 97/6?
150
Let c = -24/95 - -7227/2660. Find the common denominator of c and -2/35.
140
Suppose -4*m = 2*m + m. Suppose 3*h + m = 99. Suppose -2*n - d - 21 = -80, 0 = -4*d - 4. Calculate the least common multiple of h and n.
330
Let w = 14/10385 + -127313/456940. Calculate the common denominator of w and 173/1500.
16500
Suppose 0*c - 8*c + 40 = 0. Suppose 0*s = c*s - 3*d - 33369, s + 4*d = 6660. Let r = s + -79939/12. Find the common denominator of -79/48 and r.
48
Let v = -272 - -1627/6. Let k = -6/3989 - -387149/143604. Find the common denominator of v and k.
36
Let a = 69921/13 - 9229433/1716. Find the common denominator of a and -121/36.
5148
Let t = 145604/880701 + -10/5539. Calculate the common denominator of t and 38/583.
1749
Suppose 0 = -m - 3*u + 44, 0 = 3*u - 7*u. Let d = m + -44. Suppose -5*v - c + 40 = 0, -4 = 3*v - d*v - 5*c. What is the lowest common multiple of 16 and v?
112
Let l(x) = 15*x + 786. Calculate the smallest common multiple of l(-30) and 144.
1008
Let r = 14 - 15. Let u = 369044/29 - 12727. Calculate the common denominator of u and -4 + 39/(-10) + r.
290
Let i(m) = -8*m**3 - 20*m**2 - 59*m + 85. Calculate the smallest common multiple of 783 and i(-7).
20358
Suppose 7*o - 60 = -5*o. Find the common denominator of -95/4 and ((1 + 454)/o)/12.
12
Let c = 2453 - 1553. Let n = -9938/11 + c. Let l = -233 + 1313/6. Find the common denominator of l and n.
66
Let i = -2490193/56780 - -39/5678. Let u be -1 + -1 - 1099/28. Let g = u - i. Find the common denominator of -37/79 and g.
395
What is the least common multiple of (-7 - 3) + (-31 - -99) and 36?
1044
Let v be 315/65 - (-2)/13. Suppose v = 2*n - 31. Calculate the lowest common multiple of n and 14.
126
Let s(n) = 6668*n**3 - n**2 + n + 1. Let j be s(-1). Let i = -66747/10 - j. Let k = i + -4/5. Find the common denominator of k and 43/7.
14
Suppose -63*x + 121 + 5 = 0. Calculate the lowest common multiple of 10566 and x.
10566
Let p = 2/4241 - 284159/25446. Suppose 0*o - 5*l - 995 = 4*o, 2*l - 10 = 0. Let v = o + 581/2. What is the common denominator of v and p?
6
Let z = 749/30 - 84/5. Let d = -65147/35 - -14407/7. Let o = d + -204. Calculate the common denominator of o and z.
30
Calculate the common denominator of -14 + (12 - (-368)/108) and -73/333.
999
Let u(b) = -4*b + 35. Let v be u(8). Find the common denominator of v/((-120)/(-122)) - 1 and 31/4.
20
Let x = -1041277/888520 + 566/485. Find the common denominator of x and -133/12.
5496
Suppose 0 = 131*x - 138*x + 35. Find the common denominator of (-51*21/(-108) - x)/5 and 88/15.
60
Suppose -12*u = -9*u + 24, -2*p + 5592 = 5*u. Calculate the smallest common multiple of p and 256.
2816
Let t(a) = 63*a + 197. Calculate the lowest common multiple of t(-3) and 748.
1496
What is the common denominator of (-2616)/594 - (-4)/18 and -2 + -126*(-7)/154?
11
Let y = -819 + 86014/105. What is the common denominator of y and -137/702?
24570
Let j(n) = -13*n + 41. Let d be j(-6). Let g = -107 + d. What is the smallest common multiple of g and 146?
876
Suppose 0 = -5*o - 6*o - 55. Find the common denominator of -49/202 and (-3)/o - 1/120*-298.
1212
Let f(z) be the first derivative of -z**3/3 + 8*z**2 - 12*z + 17. Suppose -c = 3*c - 16. Calculate the smallest common multiple of f(15) and c.
12
Find the common denominator of -36/2453 and (25/(16625/(-4218)))/(4/(-7)).
24530
Let q = -20843/23348 - 5/449. Calculate the common denominator of q and -47/130.
260
Let x be -4 + (3/6)/((-5)/(-30)). What is the lowest common multiple of 1 and x/4 + (-14)/(-8)*11?
19
Suppose 5*h - 20 = 0, 0*j = -2*j + 5*h - 14. Suppose -2*r = r + 3, j*r + 43 = 2*u. Calculate the lowest common multiple of u and 20.
20
Let q(w) = 2*w**2 + 6*w. Suppose 0 = 2*s + 2*l + 4, -l + 9 = 5*s + 27. Let y be q(s). What is the smallest common multiple of (-112)/(-18) - (0 + y/36) and 10?
30
Calculate the common denominator of 121/936 and (16/(-22))/((-8)/44) + 3138/(-780).
4680
Let k = -164495 + 185385899/1127. Calculate the common denominator of k and -17/98.
2254
Let c(p) = -3*p**2 - 155*p + 207. Calculate the least common multiple of 341 and c(-52).
1705
Let j(y) = y**3 + 24*y**2 - 17*y + 80. Let s be j(-24). Let a = s - 398. What is the lowest common multiple of 10 and a?
90
What is the common denominator of (12/(-330))/(2024/(-520) - -5) and 23/3168?
3168
Let s be (6/(-2))/1*-1. What is the least common multiple of 10 and 70/s*(14/4 + -2)?
70
Let n(i) = -11*i. Let l be -4 + (-10)/(-8) + 1/(-4). Calculate the smallest common multiple of n(