What is the common denominator of ((-4)/21)/(15/(-245)) and 1 + (2 - 38/12)?
18
Let v be (10046584/40)/(146/(-10) - -2). Let c = 19933 + v. Calculate the common denominator of -16/35 and c.
315
Suppose -224 = -36*f + 28*f. Calculate the lowest common multiple of 42 and f.
84
Let m = 15063 - 180635/12. Calculate the common denominator of 19/228*107/2 and m.
24
Let y = -2967589/246 - -36193/3. Calculate the common denominator of y and -53/18.
738
Let k = 6962 - 4623. Let u = k - 23431/10. What is the common denominator of 25/12 and u?
60
Let f be (32 + -29)/((-6)/206). Let y = 7114/7 + -1018. Calculate the common denominator of y and 4 - (f*(-3)/(-48) - -6).
112
Let x(q) = -q**2 + 29*q - 87. Let b be x(21). Let w = -6 + b. What is the lowest common multiple of w and 87?
2175
Suppose 65783 - 15315 = -31*w. Calculate the common denominator of -23/18 and (-14)/(-5)*(-2405)/w.
198
Calculate the lowest common multiple of (-5 + 2)*58/(-87) and 213.
426
Suppose 110 = 210*h - 200*h. Suppose -3*f = 3 - 21. What is the least common multiple of h and f?
66
Let b = 15158 + -15032. What is the smallest common multiple of b and 1400?
12600
Let f be ((-116)/(-58))/(-1*1/(-1)). Suppose -5*j - 4 = f*g - 2*j, -12 = 3*j. Suppose -g*t + 15 = -9. What is the lowest common multiple of 3 and t?
6
Let d = 327053 + -122317731/374. Calculate the common denominator of d and 67/242.
4114
What is the lowest common multiple of (32*(-2)/(-40))/((-1)/(-350)) and 2?
560
Let v(q) = q**3 + 1. Let j be v(2). Suppose 34 = r + j. Suppose -r*o - 35 = -30*o. Calculate the lowest common multiple of 7 and o.
7
Suppose 238 = 6*o + 94. Calculate the lowest common multiple of 15/(-10)*(-22)/1 and o.
264
Let m = -16410/11 - -3806383/2552. Calculate the common denominator of m and -9/377.
3016
Let s be (-1 + 5)/(192/(-528)). Let w(p) = 2*p - p**2 + 1 - 14*p - 6. Calculate the lowest common multiple of 18 and w(s).
18
What is the least common multiple of (-182)/((-174)/21 + 8) and 728?
5096
Let l be ((630/80)/21)/((-1)/12821). Let v = l - -4798. Calculate the common denominator of 61/16 and v.
16
Let j be -2*1/(-6) - (-165795558)/(-18). Let f = j - -1215842317/132. Let l = 591/11 - f. Find the common denominator of l and 5/16.
48
Let y = 6684 + -1537299/230. Calculate the common denominator of y and -137/138.
690
Let r = -3391345/52 - -65214. Let d = r - 66/13. Calculate the common denominator of d and -19/32.
32
Let i = 99/10 - 16/5. Suppose t + 12 - 36 = 0. Find the common denominator of (-8)/t*234/16 and i.
40
Let s = -16943/3222 + -262/179. What is the common denominator of s and 31/16?
144
Let h = 108398 - 53440240/493. Find the common denominator of h and -97/812.
13804
What is the common denominator of ((-8)/(-5))/(458/50) and 12 + -14 + 442/(-51)?
687
Let n = 6190 + -6040. Calculate the least common multiple of n and 30.
150
Let b be (-16)/(-104) + 3079/13. Suppose v + 0*f - 75 = 5*f, -3*v + b = -3*f. Suppose -6*d + 11*d = v. What is the smallest common multiple of 14 and d?
112
Suppose 2*x - 359*q = -362*q + 57, -41 = -x + q. Suppose -k = -4*z + 53, 2*z = -2*z + 4*k + 68. What is the least common multiple of x and z?
36
Suppose 160*r + 244 = 166*r - 1160. What is the least common multiple of 468 and r?
468
Suppose 222 = 17*z + 20*z. What is the lowest common multiple of 3 - -1 - (-1 - -4) and z?
6
Let k(c) = -c**3 + 5*c**2 + 12*c - 10. Let o be k(7). Calculate the common denominator of -5/2 and o/206*100/(-30).
206
Let t = 1483449/13070 - 2/6535. Let y = -685313/8 - -85789. Let g = t - y. Calculate the common denominator of g and -27/10.
40
Suppose 0 = 5*s + 25, 2245 = 2*v - 2*s - 21. What is the smallest common multiple of 752 and v?
2256
Let a(h) = -351*h + 423. What is the smallest common multiple of a(-7) and 1080?
8640
Let g = -38 + 38. Suppose -s + 5*v + 35 = 0, 5*s + g*s - v = 55. What is the smallest common multiple of s and 10?
10
Calculate the common denominator of -25/41 and (94/(-68) + (-14)/119)*(-12)/(-41).
41
Let q = 14256 - 14180. Calculate the lowest common multiple of q and 1558.
3116
Let k = -76546 - -8573193/112. What is the common denominator of k and (171/(-12))/(12/10)?
112
Suppose -3*r - 104 = -26. What is the common denominator of (r/6)/(5 + -2) and -145/12?
36
Find the common denominator of 7 + (-1700380)/258050 - (-12)/(-30) and -18/13.
5161
What is the lowest common multiple of 5984 and 142105/95 - (-99)/627?
5984
Let m(d) = d**3 - 13*d**2 - 3. Let n be m(13). Let q = 16/1117 + 96859/22340. Calculate the common denominator of q and (n/12)/(1/(-90)).
20
Let j = -191454 - -91897831/480. Find the common denominator of j and -31/48.
480
Calculate the lowest common multiple of 45 and 30/(-40) - 26*(-22)/16.
315
Calculate the lowest common multiple of -6 + (1 - -190) + 7 and 68.
3264
Let d(v) be the third derivative of 1/120*v**6 + 1/30*v**5 + v**3 - 1/6*v**4 - 11*v**2 + 0 + 0*v. What is the smallest common multiple of d(-3) and 1?
9
Let s = 9040 + -8672. What is the least common multiple of 736 and s?
736
What is the smallest common multiple of 996 and (12/(-15) - 1)*((-374330)/123)/11?
996
Calculate the common denominator of -167/336 and (-1 + 13/44)*((-74)/6 - -13).
3696
Suppose -5*x + 11 = -4*m, -2*m = 2*x - 6*m - 2. Suppose -x*g + 23*g - 880 = 0. What is the lowest common multiple of 24 and g?
264
Suppose -5*p - 56 = -t, 0*p - 2*p = -3*t + 103. Suppose 2*w + 3*v - 17 = t, 0 = -v - 4. What is the least common multiple of w and 10?
30
Let g be (2 + 1/(-2)*3)*8. Let n(p) = 50 - g*p - 24 + 58. Calculate the least common multiple of n(20) and 32.
32
Suppose 5*m + 2*y = 54, 3*m - 75 = y - 36. Calculate the smallest common multiple of 1263 and m.
5052
Let v be (-1 + 8/20)*-5. Suppose v*o - 68 = -w, -4*o - 3*w + 96 = w. Let p = 614 - 608. What is the least common multiple of o and p?
66
Calculate the common denominator of 32/9 and ((-205)/30 + 6)/((74888/(-204))/11).
30636
Suppose 18*y - 20*y - 386 = -2*n, n - 199 = -y. Let f = 198 - n. Calculate the smallest common multiple of 227 and f.
454
Let q(g) be the second derivative of 7*g**5/20 - g**4/6 + 5*g**3/6 - 2*g**2 - 51*g. What is the least common multiple of q(2) and 21?
378
Let f be ((55/(-60))/(-11))/(20/15513). Let y = 627/10 - f. Find the common denominator of y and -19/32.
32
Let d = -32/381 + 16325/8382. Find the common denominator of (-189)/(-18)*((-105)/72 - -1) and d.
176
Calculate the common denominator of -11/522 and 2/36 - (8148/783 - (71 + -60)).
522
Suppose 29*p = -8*p + 1110. What is the lowest common multiple of p and 13?
390
Let n(g) = -g**3 + 2*g**2 + 2*g - 42. Let l be n(6). Let w = 1/38 - 145/456. Find the common denominator of w and 3*1*l/720*2.
120
Let k(n) = 10*n + 33. Let p be k(-3). Suppose 248 = 4*c - 4*a, p*a - 278 = -3*c - 68. Calculate the lowest common multiple of 24 and c.
264
Let c(r) be the first derivative of r**3/3 + 10*r**2 + 27*r + 107. Calculate the smallest common multiple of c(-19) and 24.
24
Calculate the common denominator of 14/57 and ((-1)/(-3))/(5/(150/432)).
4104
Find the common denominator of (950/25)/(-456)*(159/68 - 0) and 89/160.
2720
Suppose 0 = 4*z + z - 205. Suppose -43*v = -z*v. Suppose v = 5*c + 3*y - 40, 3*c + 0*y - 10 = y. Calculate the least common multiple of 1 and c.
5
Find the common denominator of -17/180 and (285/(-150)*2)/(-24).
360
Let j = 19436/10665 + -3/395. Let k(c) = -175*c. Let o be k(1). Find the common denominator of j and (o/84)/(-25) + 3.
108
Let f = 1053 + -1019. Calculate the lowest common multiple of f and 12.
204
Let z = 157 + -152. Calculate the lowest common multiple of (41 - 39)/(1/67) and z.
670
Let b(r) = -r**3 + 11*r**2 - 21*r + 31. Let c be b(9). Calculate the common denominator of 13/102 and c/18 - (1612/288 - 4).
408
Suppose -22629*w - 99446 = -22648*w. Calculate the least common multiple of w and 14.
36638
Let i = 2844/17 - 13744/85. Calculate the common denominator of i and (-10)/(1/(7/(-9))).
45
Let g(f) be the second derivative of f**5/20 + 7*f**4/12 - 5*f**3/3 - 75*f**2/2 + 18*f. Calculate the lowest common multiple of g(-6) and 10.
210
Let o(y) = 4*y**2 + 38*y - 350. What is the smallest common multiple of 1518 and o(6)?
1518
Let j = -708549 - -1132969811/1599. Calculate the common denominator of j and -5/18.
9594
