 Find the common denominator of -127/156 and f.
3900
What is the common denominator of -119/432 and 11 - 20 - (-13256)/1536?
1728
Suppose -4*q + 4*n + 6640 = 0, 3*n + 6593 = 4*q - 52. What is the lowest common multiple of 0 + 1 + 28 - q/333 and 48?
48
Let k(h) = 41*h - 26. Let r be k(6). Let z = r + -13. Calculate the lowest common multiple of 10 and z/11 + (-10)/(-55).
190
Let x(n) = -n**2 - 25*n - 145. Let p be x(-12). Suppose 4*m = -5*b + 5 - p, -5*m + 5*b = -15. Calculate the smallest common multiple of 46 and m.
46
Let v(c) = -3*c**3 - 15*c**2 - 33*c - 70. Calculate the lowest common multiple of v(-7) and 91.
455
Let m(w) be the second derivative of -w**3/3 + 2*w**2 - w. What is the smallest common multiple of m(-5) and 65*(-18)/(-45) + 8/(-2)?
154
Suppose -4*k = 2*c - 284, -2*k + 213 = k + 2*c. Suppose 0 = 3*p + f - 16, -5*p - 6*f + 3*f + 20 = 0. What is the least common multiple of p and k?
497
Let l = 33368 - 133772314/4009. Let g = l - 244543/12027. What is the common denominator of g and (-1 - 0) + (-124)/(-6)?
3
Suppose -2*o - 5*s + 93 = 0, -186 = 218*o - 223*o + 3*s. Calculate the lowest common multiple of o and 8727.
113451
Suppose 0 = 4*l + 39*t - 34*t - 1406, 7*t + 14 = 0. Calculate the lowest common multiple of 708 and l.
708
Suppose -5*l - 1570 = -k - 10*l, 0 = -4*l + 16. Calculate the least common multiple of 20 and k.
3100
Let p = 491459/143 + -3437. Find the common denominator of p and (3 - 225/39) + 0 - 0.
143
Let w = -6699 + 93775/14. Calculate the common denominator of w and (-9)/(-3) - (-81)/10.
70
Let d = 1/37 - -2311/14430. Find the common denominator of 145/6 and d.
390
What is the common denominator of -44/1475 and (-936)/675*(-37)/296?
4425
Suppose -3*x + 42 + 15 = 0. Suppose -h - h - x = -3*b, 2*b = -5*h. Find the common denominator of 27/5 and (-92)/(-10)*1/h.
5
Let l(w) = w**2 + 55*w + 396. Suppose 0*p = b - 4*p - 7, -4*p = 0. Let q = b + 11. What is the least common multiple of l(-47) and q?
180
Suppose -10*v + 27*v = 51. Suppose -v*m + 147 = 3*r, 74 = -4*m + 5*r + 279. Calculate the lowest common multiple of 5 and m.
50
Suppose -2*x - 2*c = -0*x + 26, 0 = 2*x + 3*c + 29. Let z = x - -43. Calculate the least common multiple of 22*(z/6 + -4) and 24.
264
Let x = 2453/3 + -8239/10. Suppose 4 + 2 = -3*a. Calculate the common denominator of ((-300)/35)/((-9)/a) and x.
210
Let w(n) = -4*n**3 + 8*n**2 - 2*n - 68. What is the least common multiple of w(-4) and 96?
2592
Let n = 804415/52 - 15470. Let f = 7309 - 146149/20. What is the common denominator of n and f?
260
Suppose 0*p = p - 14. Let q be (1624/(-58))/((-3)/((-75)/2)). Let b = -292 - q. What is the smallest common multiple of p and b?
406
Suppose 4*f + 1579 = -5*m, 67 = -2*m - 2*f - 563. Let x = m - -403. Calculate the smallest common multiple of x and 112.
336
Let n be ((-52)/6)/((-3)/(-27)). Let q(l) = -9*l**3 + 29*l - 61. Let c be q(2). Let p = c - n. Calculate the least common multiple of 7 and p.
21
Let p be 5/((-15)/(-216)) + -3. Let o = p + -65. Suppose -2*t - 112 = -o*t. Calculate the least common multiple of 8 and t.
56
Suppose -9*r + 6*r = 2457. Let s = 1681/2 + r. Let v = -22 + s. Calculate the common denominator of -73/12 and v.
12
Let d = 75998 + -3191759/42. What is the common denominator of (0 + (-12)/105)*(-15)/(-18) and d?
42
What is the common denominator of 69/250 and (-2828)/(-1080) - 75/25?
6750
Let v be (2 - 2)*((-7)/2)/7. Suppose v = -k - 3*n + 39, 4*k - 4*n - 7 - 69 = 0. What is the least common multiple of k and 30?
120
Suppose 361 + 176 = 57*x - 147. What is the smallest common multiple of 471 and x?
1884
Let z(s) = s**2 - 10*s - 24. Let g be z(6). Let c be 431/17 - (g/(-4))/4. Let q = c + -7889/340. Calculate the common denominator of q and 83/4.
20
Suppose 54*m - 22692 = -80*m + 103*m. What is the lowest common multiple of 671 and m?
8052
Let j(s) = 2*s**2 - 6*s - 28. Suppose 82 + 86 = 6*y. Calculate the lowest common multiple of y and j(6).
56
Let d = -82559/71652 + 140/853. Calculate the common denominator of d and -15/16.
336
Suppose -9040 = -4*s + 3*c, -4*s - 2*c + 7900 = -1100. Calculate the lowest common multiple of s and 18.
20286
Let q = -18926 - -19278. What is the lowest common multiple of q and 968?
3872
Let g(p) = -5*p - 3. Let w(d) = -4*d - 3. Let s(c) = 7*g(c) - 6*w(c). What is the smallest common multiple of s(-1) and 74?
296
Let v(y) = -140*y + 13191. Calculate the smallest common multiple of 169 and v(94).
5239
Let i = -432 + 14285/33. Calculate the common denominator of i and 45/2.
66
Let m be 0/1*4/(-16). Suppose 0 = -m*t - 4*t + 72. Suppose x + 2*x - 36 = 0. What is the smallest common multiple of x and t?
36
Let t = 882536/33 + -26746. Let h = -18049/25410 + 29/242. Calculate the common denominator of t and h.
1155
Suppose 46 = v + 5*t, -41 = -3*v + t + 17. Suppose v*i - 302 = 76. What is the smallest common multiple of i and 45?
90
Let x = -13357/144 + 1373/16. Find the common denominator of 65/23978 and x.
215802
Calculate the common denominator of (-7)/(-980)*-8 + -577*(-4)/(-1260) and ((-3)/(-3))/(263/(-43)).
2367
Suppose 19*y = 20*y + 4*z - 10, -4*y - z + 40 = 0. Calculate the lowest common multiple of y and 7218.
36090
Let b(i) = -12*i - 162. Let v be b(-30). Suppose -17*w = -4006 + v. Calculate the least common multiple of w and 18.
2016
Let n be (662898/904172)/(45/(-35)). Let w = n + 2/35691. Calculate the common denominator of w and 77/48.
912
Let i = -98 - -30551/312. Let a = 263677/59818 + 3/2719. Find the common denominator of i and a.
3432
Let b = 891959/78132 - -4/6511. What is the common denominator of (35/(-560))/(1/86) and b?
24
What is the lowest common multiple of 75 and (-1)/4 - (40 + 167525/(-100))?
8175
Let x(h) = 147*h**2 + 37*h - 208. Calculate the lowest common multiple of x(6) and 4.
10612
Let c = 1436867/40 - 178364/5. Let k be (1*2)/((-6258)/(-783) + -8). Let r = k + c. Calculate the common denominator of r and 9/44.
88
Suppose 4*s - 5*k + 5055 = 0, -86*s + 82*s + 4*k = 5052. Calculate the common denominator of -89/90 and (-3458)/s + (-2)/(-9)*1.
90
Let p = 3655/819 - 4/117. What is the common denominator of -28/131 and p?
917
Let j(v) = 8*v**3 - v**3 + 22 - 10*v**2 - 7*v**3 - v**3 + 11*v. Suppose -212 = -5*o - 4*t, 10 - 1 = 3*t. What is the least common multiple of o and j(-11)?
440
Suppose -71*d + 2698 = -213*d. Let h = -2421057/202 - -11985. Calculate the common denominator of d and h.
202
Let r be (2169 + -2)*-1*5/(-5). Let d = r - 8625/4. Let s = -469/11 - -4217/110. Calculate the common denominator of d and s.
20
Let m be (-4)/(-14) + 19/(1064/3120). Suppose -72 = -i - m. What is the lowest common multiple of i and 116?
464
Let f = 3120 + -1701. Calculate the smallest common multiple of f and 1032.
11352
Suppose 5*s = i - 8, -2*s = 2 + 2. Let q(j) = 5*j + 20. What is the lowest common multiple of q(i) and 209?
2090
Suppose -z = 13*z + 616. Find the common denominator of -93/4 and -39 - -38 - 6/z.
44
Let b(r) = -211*r - 4826. What is the lowest common multiple of b(-23) and 27?
27
Suppose -81*q - 203*q + 2989 = 717. What is the lowest common multiple of (12/(-5))/((-6)/20) and q?
8
Suppose 6*u - u = 130. Calculate the smallest common multiple of u and 4 + ((-483)/(-21) - 10/(1 + 1)).
286
Let x = -556067/120 - -4634. What is the common denominator of -83/130 and x?
1560
Let s(r) = -3*r + 9. Let x(t) = t**3 + 4*t**2 - 3*t + 7. Let z be x(-5). Let c be s(z). What is the common denominator of (-2585)/(-315) - (-4)/c and -44/23?
161
Suppose -264*a - 663 = -277*a. Let c be (-6)/(-1 - (-7)/6). Let m = c + a. Calculate the smallest common multiple of 66 and m.
330
Suppose -19*h - 192 = -b, -13*b - 57 = -17*b - 3*h. What is the least common multiple of b and 3/(4 + -1) + 59?
420
Calculate the common denominator of (122/1098)/((-6)/1971*3) and -59/2802.
2802
Let m(z) = -z - 1. Let p(r) = r + 4. Let g be p(-4). Let b be m(g). What is the common denominator of b/2*(3/66)/(-1) and 69/20?
220
Let v(g) = g**3 + 20*g**2 + 3*g + 3. Let c be v(-21). Let h = c - -1961/4. Let o = -36169/20 + 1810. Find the common denominator of o and h.
20
Let p = 5/3394 - 191811/33940. Find the common denominator of 121/4824 and p.
24120
Suppose 225 = 4*b + 5*b. Let w be b*(-10)/(1/(-1)). Let h = -140 + w. Wh