0. Find the common denominator of (-106)/136 - 7/z and k.
68
Let j be 24/(-84) + 27*100/9401. Let i = 30919/20145 - j. Find the common denominator of i and -25/84.
420
Suppose -5*q = -4*u + 41, 5*u + 21 = 4*u - 5*q. What is the smallest common multiple of u and 332?
332
Let r(t) = t**3 - 5*t**2 + 2*t - 32. Let u be r(10). Let c = u - 474. Calculate the lowest common multiple of c and 52.
364
Calculate the least common multiple of ((-274400)/(-250))/(14/35) and 1176.
8232
Suppose 8*u - 1634 = 606. Suppose u = -v - 9*v. Let d = v - -40. Calculate the smallest common multiple of 4 and d.
12
Suppose 0 = 15*n - 11*n - 12. Let y(t) = 51*t - 141. Let i = -19 - -27. Calculate the lowest common multiple of y(n) and i.
24
Suppose 72 = 2*w + w. Let u(v) = -3*v**2 + 30*v - 30. What is the least common multiple of w and u(6)?
168
Let s = 10086/2305 - 2433079/705330. Let l = -710/153 - s. Find the common denominator of l and -83/60.
60
Suppose 57*k = 10113 - 2361. What is the least common multiple of 2 and k?
136
Let i = -216645164701585/9702 + 22329948972. Let g = i - -2/4851. Calculate the common denominator of -157/42 and g.
42
Let a = -285 + 296. Calculate the least common multiple of 758 and a.
8338
Suppose 0 = 4*t + 235 - 31. Let d = t - -63. Let a(c) = -4*c**3 - c**2 - 2. Calculate the lowest common multiple of a(-2) and d.
156
Suppose 8*q = 5*o + 34, -3*q + 55 - 25 = o. What is the least common multiple of 2196 and o?
2196
Suppose -13 = -o + 2*s, -3*o - 6*s + 6 = -s. What is the smallest common multiple of (13 - (-7)/((-49)/7)*1) + 1 and o?
91
What is the common denominator of (5/(60/(-243)) + (-60)/(-120))/1 and -1/1330?
2660
Suppose -6*f + f = 105. Let c be ((-96)/(-4))/(0 + (-6)/9). Let h = f - c. Calculate the least common multiple of h and 15.
15
Let t = -13 + 8. Let c = t - -8. What is the lowest common multiple of -5 + 9 - (-6 + (0 - -2)) and c?
24
Let q be (5 + (-78)/18)*(2 - -1). Let t be (24 - 2)*3/q. What is the common denominator of (-42)/2*(-11)/t*-4 and -46/11?
11
Let a = -18710 - -785857/42. What is the common denominator of a and -19/42?
42
Let r = 18 - 10. Calculate the common denominator of 91/(-420)*(3 - (-30)/r) and 23/25.
400
What is the common denominator of 93/1016 and ((-10)/(-18))/(10/(-75)*210/924)?
3048
Suppose -16*i = 3*i + 38. Find the common denominator of (-4 + (-1407)/(-351))*(12 - i) and -20/13.
117
Suppose -297*d = -288*d - 189. What is the lowest common multiple of d and 21?
21
What is the common denominator of 3/1010 and (9 + -7)/((-5)/(-190)*-7) - -4?
7070
Suppose 2*g + 1402 = -3*n, -3*g = 5*n + 1867 + 468. Let v = -21287/2718 - -134/151. Find the common denominator of ((-104)/n)/((-2)/14) and v.
522
Let d(l) = 5*l + 1. Let v be d(1). Let o be ((9 - v) + (1 - 7))*9. Let t = o - -38. Calculate the lowest common multiple of 8 and t.
88
Let v = -32090 - -34946. What is the lowest common multiple of v and 20?
14280
Let n(p) = 2*p + 5*p + 2*p**2 + 3*p**2 + 5*p**2 + p**2 + p**3 + 2. Suppose -w = -3*s - 26, -s + 2*w = w + 6. What is the least common multiple of 18 and n(s)?
288
Let h be (-6 - -22)/8 + 3. Find the common denominator of (h/(-1215))/(2/(-12)) and -7/18.
162
Let l(s) = -3*s + 79. Let q be l(25). Suppose -q = -2*y + 4. Let j(c) = -6*c - 6. What is the smallest common multiple of j(-4) and y?
36
Let i(t) = -537*t + 32923. Let l = -20 + 36. What is the smallest common multiple of i(61) and l?
1328
Let g = 76 + -164/3. Let l be (-1)/24670*(-6612370)/108. Let z = l + -3/9868. Calculate the common denominator of z and g.
27
What is the common denominator of 3/(-18) + (-23153)/(-69870) and -35/136?
680
Let k = 842 + -834. Suppose 0 = -k*t + 329 + 271. Calculate the lowest common multiple of t and 50.
150
Let r(j) = -5*j. Let q be r(-6). Let n(f) = 2*f**2 - 6*f. Calculate the smallest common multiple of n(-5) and 2 - (6 - q/5).
80
Let s be 5 + 688/(-156) + (-1)/(-3). Let d = s + -509/312. What is the common denominator of 85/6 and d?
24
Suppose 11*d - 2 = 13*d. Calculate the common denominator of 87/4 and (-79)/(-36) + -2 - d/(-2).
36
Let z = 102491/5 + -19677757/960. Find the common denominator of z and 4/9 - (473/360)/11.
960
Let l = -297/8 - -1183/24. Find the common denominator of l and -91/102.
102
Let q = 1792263/7 + -256036. Let r = -676/185 - 33/74. What is the common denominator of q and r?
70
Let m = -200551/20 + 10023. What is the common denominator of -37/128 and m?
640
Suppose -4*r - 40 = -8*r. Suppose 2*s - 337 = 3*c, 5*c + 355 = 3*s - 149. Suppose -r*v + s = -7. What is the lowest common multiple of 33 and v?
198
Let q(w) = w**3 + 2*w**2. Let c be q(-2). Let n = -1583 - -1535. Calculate the common denominator of n and -4*(c - 99/(-96)).
8
Let u(d) = -d**3 + 9*d**2 - 5*d - 22. Let f be u(8). Suppose -266 = -f*a - 58. Suppose -2*p = -15*p + a. Calculate the smallest common multiple of 7 and p.
56
Suppose 183 = -x + 480. Suppose 6*q + x - 309 = 0. Calculate the smallest common multiple of 8 and q.
8
Suppose 114 = 4*g - 2*c, -2*g = -0*c - 2*c - 56. Let i = -4403/180 - -389/15. What is the common denominator of g and i?
36
Let z = -14813/988 + 192/13. Let i = -2245/836 + z. Find the common denominator of i and 25/8 - (6 + -4 + 8/8).
88
Let m = 3723 + -3689. Calculate the least common multiple of 10 and m.
170
Let d be (-2)/7 - 1124/(-161) - 4. Let m = d - 981/253. What is the common denominator of -47/11 and m?
11
Let z = 43243/9331 + -787/172. What is the common denominator of 27/10 and z?
4340
Let f = 1688680821/29 + -58223637. Let w = f + -6737. Let n = -825 + 4092/5. What is the common denominator of w and n?
145
Calculate the common denominator of -61/56 and (-5*2568/(-8480))/(-23 - (-5 + 0)).
8904
Let s = -111 - -293/2. Suppose 236 = -13*n + 2. Calculate the common denominator of s and n/72 + 41/26.
52
Let m be 1826/10 + 4/10. Let a = m - -36. Suppose 341 = 5*h + 3*x, h + 3*x + a = 4*h. What is the least common multiple of h and 12?
420
Let z = -2/95 - 429/380. Calculate the common denominator of 13 - (2046/240 - -7) and z.
40
Let f be -5 + (-4882)/977*-1. Let q = -6731/35172 + f. What is the common denominator of q and -99/4?
36
Let b = 7734 + -91927. Let j = b - -5556623/66. What is the common denominator of j and -25/24?
264
Suppose -d = 3*d - 28. Suppose -4*n = 2*h + 42, -5*n - d = -2*h + h. Calculate the common denominator of h/(-65) - (-1094)/180 and 95/6.
18
Let w = -18 + 29. Suppose 12 = w*s - 76. Let u(a) = 6*a - 2. What is the lowest common multiple of u(4) and s?
88
Let t = 157114 - 2201951/14. Let v = -121060249 + 30507224557/252. Let j = t + v. What is the common denominator of -117/10 and j?
180
Let o be 6/(-4)*56/(12/(-3)). Let p(a) = 9*a + 104. Let d be p(-10). Find the common denominator of (-122)/(-16) - o/d - -1 and -83/20.
40
Suppose -v - 11 = 3*i, -4*v - v + 3*i = 1. What is the lowest common multiple of 10/25 + (v - (-623)/5) and 30?
1230
What is the common denominator of 49/900 and 12/324*2821/(-310)?
2700
Suppose 2*g = 3*g + d - 12, -g = -d - 6. Suppose -2*a - g = -17. Let q = -23 - -24. What is the lowest common multiple of a and q?
4
Let r(k) = -12*k + 1. Let w be ((-2)/3)/((-22)/(-33)). Let p be r(w). Suppose -2*u - u = 5*m - 17, p = 3*m - u. What is the least common multiple of m and 3?
12
Suppose 8*h = 21*h - 286. What is the lowest common multiple of h and (240 + 0)*(-2 + 48/20)?
1056
Suppose -4*d + 27 = -d. Suppose b + 22 = 5*t, 5*b + 8 = 4*t + 3. Let g = 14 - t. Calculate the least common multiple of g and d.
9
Calculate the least common multiple of 83 and (-685)/(-30) - 14/(-84).
1909
Suppose 4*c - 4081 - 523 = -5*j, -4*c - 1864 = -2*j. Calculate the least common multiple of 352 and j.
7392
Let m = 11557 - 80900/7. Suppose 4*x - 2*o - 4 = 0, 4*x - 4*o + 1 = 9. Find the common denominator of m and 5/3 - (-2 + x).
21
Let d be (-7)/63 + (-46)/(-9). Suppose d*r + 445 = 5*b + 75, -r = -5. What is the lowest common multiple of 1 and b?
79
Let z = 33683/1962 + -1/981. Find the common denominator of -73/1176 and z.
1176
Let v = 21714457/440 - 49351. Calculate the common denominator of 143/12 and v.
1320
Let l be (-51700)/((181140/16)/5). Let y = -2/78997 + -66921/476983886. Let j = y + l. Calculate the common denominator of j and 10/21.
42
Let i(f) be the first derivati