8 - 32281. Calculate the common denominator of -33/14 and z.
826
Let r(q) = 32*q - 3429. Let l(n) = 2*n**2 - 2*n. What is the least common multiple of r(108) and l(-2)?
108
Let h = 14166 - 297445/21. Find the common denominator of 16/5607 and h.
5607
Let k = -6805111/46 - -147991. Let r = 76/23 - k. Let c = 19541/22 - 888. Find the common denominator of r and c.
22
Let y = -176407 - 98510. Let l = -65980237/240 - y. Find the common denominator of l and -83/44.
2640
Suppose 12 = -4*d - 4*h, 2*d - 2*h - 3 + 21 = 0. Calculate the common denominator of (-388)/(-12) + (-2 - d)/24 and -51/8.
8
Let s = -4115 - -4183. What is the lowest common multiple of s and 306?
612
Let l = -162563/7 - -23217. Let c = -5406/5 + 1071. Find the common denominator of l and c.
35
Let t = -1212163/408 - -2971. What is the common denominator of t and -101/136?
408
Suppose 1244 = 56*b - 4580. What is the least common multiple of 1 and b?
104
Let i = 2513/56080 - 735676059/89896240. Let j = -50/229 + i. What is the common denominator of 89/340 and j?
2380
Suppose -2*i + 1149 = -987. Let h = 21419/20 - i. Let l = h + 23/10. What is the common denominator of 7/44 and l?
44
Suppose 1498 = 256*u - 253*u + t, -2508 = -5*u + 4*t. What is the least common multiple of u and 10?
500
Let k be (-4)/(-4) + (1 - 0). Suppose 2*g - 2*w = -4*w + 80, 79 = k*g + w. Let z = g + -31. What is the smallest common multiple of 7 and z?
56
Let o = 46 - 44. Suppose -24 = 4*p + o*f, 0 = 4*p + 2*f - 4*f + 24. Find the common denominator of (-3 - p) + -2 + (-31)/3 and 15/4.
12
Let o = 737755/24 - 30745. What is the common denominator of 51/32*(-280)/(-420) and o?
48
Let h = -1228 - -42704/35. Let s = h + 8907/770. Calculate the common denominator of s and (30/32)/(-3)*(-87)/60.
704
Let r(a) = -a**3 - 8*a**2 - 13*a + 26. Calculate the least common multiple of r(-5) and 568.
1136
Let a(f) be the first derivative of f**4/4 - 52*f**3/3 - 28*f**2 + 203*f + 134. Calculate the smallest common multiple of a(53) and 156.
1716
Let o = 454 - 41315/91. Let q = o + -171/1001. Calculate the common denominator of q and 33 + 4393/(-920) - 29.
440
Let f be (36/10)/((-20)/(-150)). Let w = 30 - f. Suppose 0 = -2*i + w*i - 9. What is the smallest common multiple of i and 18?
18
Suppose p + 11*o = 12*o - 63, 4*p - 5*o + 249 = 0. What is the common denominator of 2 - (-188)/p - (-13 - -14) and -1/42?
462
Suppose -4*a - 7508 = -3*u - 3*a, -a - 2502 = -u. Let y = 295357/118 - u. Find the common denominator of 83/14 and y.
826
What is the common denominator of (2 + (-2604)/1300)*(-4745)/26 and -2/1625?
3250
Let i(g) = 1508*g + 768. Calculate the smallest common multiple of i(1) and 20.
11380
Let y = -10141 - -60799/6. Calculate the common denominator of y and 31/890.
2670
What is the lowest common multiple of 385/55*(-40)/(-2) and 22?
1540
Suppose 0 = 80*p + 39*p - 30345. What is the smallest common multiple of 33 and p?
2805
Let f = 8898/83 - 373952/4233. Let w = 38245/2142 - f. Calculate the common denominator of -56/69 and w.
2898
Suppose 15*g = 16*g - 8. Suppose 0*p = 2*p - 2*w - g, -4*p - w + 36 = 0. Suppose -p*z + 15 = -105. What is the lowest common multiple of 12 and z?
60
Suppose 33*m = 36*m - 450. Let j = m - 130. Calculate the lowest common multiple of j and 152/5 - 4/10.
60
Suppose 48*q - 66847 = -21727. What is the lowest common multiple of q and 90?
8460
Let b = 2204 + -277705/126. Find the common denominator of -79/68 and b.
4284
Let b be (-7)/28 + (-26)/(-8). Suppose b*z - 6*p + p - 24592 = 0, 3*z = p + 24572. What is the common denominator of z/(-855) + 2/(-9) and 11/4?
20
Let c = -765/38 - -595583/29526. Calculate the common denominator of 20/7 and c.
777
Let s = 1750584243/2609 - 670979. Calculate the common denominator of s and 53/4.
10436
Let d = -4152 - -37321/9. Let n = 37495/8 - 4681. Find the common denominator of n and d.
72
Suppose -5*u - 10 = -5*x, -9*u + 6*u - 6 = 2*x. Let i be (-14 - 1)*2/5*u. Find the common denominator of -45/14 and 199/(-12) + 4/i.
28
Suppose -2147770 - 324572 = -94*b - 13*b. What is the smallest common multiple of b and 8?
92424
Let c be 15/(42/(-7) - -7). Suppose 1440 - 390 = c*k. Calculate the least common multiple of k and 110.
770
Let u be ((-2732)/6)/(460/1650). Let j = 1633 + u. Calculate the common denominator of 10/(11 - 161)*183 and j.
115
Let c = 27337 + -3335061/122. Find the common denominator of 47/112 and c.
6832
Let r be 24/30 - (-115409)/10. Suppose 8*m - 6*m - 23062 = 0. Let b = r - m. Calculate the common denominator of b and -53/20.
20
Suppose 0 = 1052*g - 1018*g - 102. Calculate the least common multiple of g and 2.
6
Let b = 40288823/236 - 170715. What is the common denominator of 111/10 and b?
1180
Let r(h) = 66*h**3 - 5*h**2 + h + 3. Let y be r(2). Let i = -5670/11 + y. What is the common denominator of i and 57/30 + 3/3?
110
Calculate the common denominator of -11/5 and ((-86)/40 - -2)/(624/68 - 6).
360
Let b = -8 + 259. Suppose 32*o = -59 + b. Calculate the smallest common multiple of o and 108.
108
Suppose 3*l = l - 10, 868 = 3*u + l. Let y = -2306/19 + 46915/114. Let o = y - u. Find the common denominator of o and 151/18.
18
Suppose -4*m + 14 = -2*k, -9*k + 11 = -14*k + 4*m. What is the lowest common multiple of 54 - k - (-2 - (2 + -2)) and 20?
220
Suppose 0 = 4*j - 2*j + 4. What is the common denominator of j/(-9) + (-575)/36 and (-45)/36 - 497/112?
16
Suppose -1 = -2*b + 7. Suppose 4*t + 5*l - 10 = 0, 3*t - 12 - 5 = l. What is the lowest common multiple of (6 - 203/35) + 39/t and b?
8
Suppose 11*b - 5*b - 19278 = 0. Let f = -28876/9 + b. Calculate the common denominator of -49/5 and f.
45
Let k = -10519/50 + -53/25. Let u = k + 244. Find the common denominator of 93/700 and u.
700
Let i(n) = -n**2 + 28*n - 150. What is the lowest common multiple of i(12) and 2212?
6636
Let s be (-1)/((-2)/(-6) + (-122)/(-183)). Let u = 3 + 0. Calculate the lowest common multiple of (2/(-6)*s)/(u/414) and 4.
92
Calculate the common denominator of (41/(-2460))/((-138)/(-942)) and 137/140.
9660
Calculate the least common multiple of 162 and (-5 + 79)*(-6)/(-72)*6 + 5.
1134
Suppose 0 = -w + 5*i + 5715, -14357 - 8478 = -4*w - 5*i. What is the smallest common multiple of 22 and w?
62810
Let h(y) = -6*y + 309. Calculate the smallest common multiple of 48 and h(-10).
5904
Let k = -808/3 + 64529/240. Calculate the common denominator of k and 93/160.
160
Let x = 5363/1318 + -1034/659. Suppose 0 = l - 0 - 11. Calculate the common denominator of x and (34/8)/(2 + l).
52
Let t be ((-137244)/5716)/((30/(-4))/1). Let a = 2/1429 - t. What is the common denominator of -59/144 and a?
720
Calculate the common denominator of 41/4 and (-62980)/(-7872) - (1 + 7).
1968
Let v = -29 - -67. Let m be (-9 - 351/(-36))/((-1)/(-44)). Let j = v - m. What is the smallest common multiple of j and 2?
10
Let m(r) = -51*r - 6. Let t be m(6). Let s = t + 671/2. Calculate the common denominator of (937516/(-1530))/(-17) + -37 and s.
90
Find the common denominator of (-5166)/2016 - (-3)/(6/14) and 75/322.
2576
Let z(q) = -4*q**2 - q**2 + 7*q + 6*q**2 - 4*q**2 - 18. Let d be z(-6). Find the common denominator of -331*(-2)/d + 3/(-12) and -73/36.
252
Let g(x) = -x**2 - 15*x + 9. Let t be g(-15). Suppose t = 3*k - 21. Calculate the lowest common multiple of 4 and k.
20
Let a = 101 + 127. What is the common denominator of a/189 + (-6)/(-27) - -5 and -52/63?
63
Let o = 8390 - 8114. Calculate the smallest common multiple of o and 69.
276
Let l(y) = -y**2 - 91*y + 1131. Calculate the lowest common multiple of 1020 and l(11).
3060
Suppose 0 = 4*u - 12, 3*u - 2*u = 4*g + 3. Suppose 2*v - 2*j + 70 = g, 4*v + 30 = -5*j - 65. Let r = v - -48. Calculate the smallest common multiple of r and 4.
36
Suppose 2*m - 2 = 38. Calculate the smallest common multiple of m and 109 + (2/(-14) - (-16 + 1248/84)).
220
Suppose -8*k + 13*k - 180 = 0. Calculate the common denominator of k/(-27)*(-126)/(-16) and (9 - 6) + 47/8.
8
Let v = 17 - 215/12. Suppose -4*x + 4*t = 6396, -8750 + 748 = 5*x + 2*t. Let p = x - -12897/8. What is the common denominator of p and v?
24
Suppose 0 = -3*j - 4*m - 9065, 37*m + 6049 = -2*j + 40*m. Let p = -145121/48 - j. What is the common denominator of p and -40/33?
528
Let p be ((-1)/(55/(-2)))/(4