 denominator of -51/44 and a/4 - (-146)/4?
44
Suppose 0 = 2*z + h - 41, -12 - 7 = -z - h. Let n = z + -8. What is the lowest common multiple of n and 22?
154
What is the common denominator of -7 + (-488)/(-44) - 3 and 16?
11
Let x(z) = -11*z. Let j be x(-2). Find the common denominator of 2/8 - (-394)/(-40) and 33/j + 109/(-26).
65
What is the common denominator of (((-448)/20)/(2/(-5)))/2 and 25/334?
334
Suppose 5*s + 4*z = -85 - 0, 0 = -4*s + z - 89. Find the common denominator of (-6)/s - (-831)/105 and 1798/72 + (-12)/54.
20
Let k be 16/2*(-16)/(-32). Let x be (-2)/k*1013078/121. Let d = -4189 - x. Calculate the common denominator of d and 119/6.
66
Let o be (-24)/(-4)*(3 - 2)*-1. Let m(b) = b**3 + 5*b**2 + 5 - 17 - 5*b + b**2. Calculate the least common multiple of 12 and m(o).
36
Let s = 278 - 1951/7. Find the common denominator of -21/125 and s.
875
Suppose 4*z - 17 + 1 = 2*w, -4*z + 3*w = -16. Suppose 0 = z*f - 27 - 29. Let n = -7 + 21. What is the lowest common multiple of n and f?
14
Let q = 305/13 - 4529/208. Find the common denominator of 107/580 and q.
2320
Suppose 82 = 4*x + 22. What is the lowest common multiple of (-2)/3*(-4 + -5) and x?
30
Suppose -2*t - 3*t - 2*z + 17 = 0, t = z + 2. Suppose 0 = -t*h + 37 + 47. Suppose 5*j + 5 = 15. What is the least common multiple of j and h?
28
Suppose 6*b - 17*b + 308 = 0. What is the common denominator of ((-10)/(-72))/(b/714) and 67/3?
24
Let o(n) be the first derivative of n**3/3 + n**2/2 + 12*n + 7. Let b be o(11). What is the common denominator of 7/20 and (27/b)/(2/(-17))?
160
Let c = 66 + -44. Suppose -c = -2*b + b. Suppose 0 = 2*q - 2*g - b, 0 = q + 3*g + 2*g + 19. Calculate the lowest common multiple of 6 and q.
6
Suppose -2*v = -5*v + 15390. Suppose v = 3*x - 5*x. Calculate the common denominator of 1/(-5) - x/(-550) and 47/4.
44
Let v = -329/3 - -92. Find the common denominator of v and -19/15.
15
Let a be (-7810)/20*4*1. Let c = 3219/2 + a. Calculate the common denominator of 71/14 and c.
14
Let t be 1 + 0 - 2/6*-4093. Let f = t + -1381. Find the common denominator of -22/51 and f.
51
Let j = 3053 - 2495. What is the smallest common multiple of 45 and j?
2790
Let r = -56 - -57. What is the common denominator of ((-14)/(-90))/((-2)/(-5)*r) and -79/20?
180
Suppose -2*d + d + 4 = -t, 2*d - 5*t - 11 = 0. Suppose d*g = -g + 5*x + 20, 0 = 2*g - 5*x. Calculate the lowest common multiple of 4 and g.
20
Let j = -47237731/18 - -2618377. Let x = 5939 + j. Calculate the common denominator of 11/9 and x.
18
Let o be ((-14)/(-18))/(190/3318). Let x = -3818/2223 + 86/117. Let m = x + o. Find the common denominator of m and -37/7.
35
Suppose y = 3*p, -2 = -3*y + p + 22. Let i(l) = l + 22. What is the smallest common multiple of i(0) and (-80)/(-6)*y/6?
220
Let s(x) = 4*x**3 - 24*x**2 + 19*x - 17. Let h(u) = -u**3 + u. Let n(p) = 5*h(p) + s(p). What is the lowest common multiple of n(-25) and 52?
104
Let n = 132 + -126. Suppose n*x - 21 = 9. Suppose -4*p - 19 = -p - 5*k, -5*k + 15 = -5*p. What is the lowest common multiple of x and p?
10
Suppose -2*z - 854 = 8*m - 12*m, m - 3*z = 216. Calculate the smallest common multiple of m and 7.
1491
Suppose -36 - 36 = -4*p. Let d be (-1)/1*(-2 - 1). Calculate the least common multiple of p and 1 + 0 - (-9)/d.
36
Let k = 5/37 + 619/74. Find the common denominator of k and -137/60.
60
Calculate the least common multiple of (36/(-2*1))/(-1) and 8/6*(199 - 193)*(-15)/(-4).
90
Calculate the common denominator of ((-44)/8 + 3)*545/(-225) and 0 - ((-15)/(-16))/(-1).
144
Suppose -3*j + 3 = -2*j, 5*j = -4*m + 47. Calculate the smallest common multiple of m and 85.
680
Let k = 75 - 67. Let u(g) = g**2 - 11*g + 6. What is the smallest common multiple of u(12) and k?
72
Let b = -761/12 - -239/3. Calculate the common denominator of 167/84 and b.
84
Suppose -99 = 2*u - 5*r - 35, -3*r = 0. Let x = 148 - u. Calculate the common denominator of -43/12 and 3/(-5) - (-1058)/x.
36
Let g = 37 - 44. Let w(k) = k**3 + 7*k**2 - 9*k - 43. Calculate the lowest common multiple of 18/((-3)/12*-6) and w(g).
60
Let j = 21 - 10. Suppose -t + 11 = -2*v, t + 230*v - 9 = 231*v. What is the smallest common multiple of j and t?
77
Let y = -1509 + 48275/32. Calculate the common denominator of y and -47/204.
1632
Let j be 449/(-3) - 2/4. Let m = j - -149. Let p = 283 - 4463/16. Find the common denominator of m and p.
48
Suppose 46*a - 42*a - 56 = 0. Suppose 2*j = b - 18 + 48, 90 = 5*j + 5*b. What is the lowest common multiple of a and j?
112
What is the common denominator of 61/112 and 5/(-7)*-1*(-46)/(-1288)?
784
Let o = 101 - 94. Let d(x) = 2*x**2 - 4*x - x**2 - 4 - 4. What is the smallest common multiple of d(6) and o?
28
Let p = -8776/127857 - -224/1173. Calculate the common denominator of 40/33 and p.
3597
Let a = 1410 + -5695/4. Let y(z) = -97*z**2 - 8*z - 9. Let n be y(-5). Let r = n - -9655/4. Calculate the common denominator of a and r.
4
Suppose 0*u + 90 = 3*u. Suppose 284 = 4*v + 8. Calculate the least common multiple of u and v.
690
Let j(a) = -a**2 + 13*a + 14. Let v be j(14). Suppose -9*u + 7*u + 76 = v. Calculate the lowest common multiple of u and 20.
380
Suppose -2*o - 24 = -3*g - 0*g, -2*o - 12 = -g. Suppose 11*j - 105 = 6*j. What is the least common multiple of g and j?
42
Calculate the smallest common multiple of (-392)/20*(-50)/10 and 70.
490
Let z(h) = h**2 - 20*h + 59. Calculate the least common multiple of z(17) and 31.
248
Suppose -12 = -0*c - 4*c. Suppose 0 = 31*r - 413 + 134. What is the least common multiple of r and c?
9
Let t = 2996/111 + -69821/2516. What is the common denominator of 111/10 and t?
1020
Suppose -66 - 119 = -4*k + 5*n, -5*k - 5*n + 220 = 0. What is the least common multiple of k and 18?
90
Let b = 2915871918340/120029031 - -5/26673118. Let l = b - 24285. Find the common denominator of l and -19/20.
180
Let j(f) = -49*f - 3. Let o be j(-3). Calculate the common denominator of (0 - 0) + 218/o*4 and 29/22.
198
Let h(n) = -n**3 - 4*n**2 + 14*n. Let y be h(-6). Let m = y + 34. What is the least common multiple of 16 and m?
176
Let v = -39425/14124 - -130/321. Calculate the common denominator of 3/8 and v.
88
Let m = 27 - 39. Let a = 10 + m. Calculate the least common multiple of -12*(1 - (0 - a)) and 22.
132
What is the common denominator of -71/26 and (86/(-10))/(22/5)?
286
Let d = 6 + -11. Let u = d + 9. Suppose 5*y + 54 = 3*z - 6, u*y = z - 20. What is the least common multiple of z and 12?
60
Suppose r - 4*r = 2769. Let b = 6438/7 + r. Calculate the common denominator of 19 and b.
7
Let l(z) = -6*z - 10. Let w be (8/12)/(2/(-21)). Let r be l(w). Let m = 10 - r. Calculate the common denominator of 47/9 and m.
9
Let r = 5/627 + 3523/3762. What is the common denominator of r and 133/66?
198
Suppose 0*j + 5*j - 159 = 3*d, 0 = 5*j + 3*d - 141. Let o = j + -28. What is the lowest common multiple of o and 16?
16
Let z(j) = -118*j + 8. Let a be z(-5). Let n = a - 746303/1248. Let w = n + -22153/1248. Find the common denominator of w and 65/2.
4
Suppose -52*u - 11 = -54*u + n, 13 = 4*u - 5*n. What is the lowest common multiple of 5 and u?
35
Suppose -5*i + i - 4*u + 20 = 0, i - 3*u - 5 = 0. Suppose i = 2*c - 3. What is the smallest common multiple of (6/10)/(-8 - (-1331)/165) and c?
36
Suppose -4*k + 10 = -26. Let h(n) = -7*n - 18. Calculate the lowest common multiple of h(-3) and k.
9
Let a(f) = f**3 - 16*f**2 + 16*f - 13. Let t be a(15). Suppose 12 = -t*c - 2*c. What is the lowest common multiple of 22 and 8*c*(-15)/18?
220
Let p = 72/241 + 27959/2410. Let n = 3/1904 - -41831/36176. What is the common denominator of n and p?
190
Let c(a) = 5*a**3 - a**2 - 3*a - 3. Let x be c(-1). What is the least common multiple of (x/9 - -1)*-6*-6 and 20?
60
Suppose -3*z - j - 29 = 6, -2*z - 26 = -2*j. Calculate the smallest common multiple of ((-8)/(-6))/((-8)/z) and 10.
10
Let k(v) = v + 30. Let x be -1 + -19 + (-16)/8. What is the smallest common multiple of 28 and k(x)?
56
Let t(q) = -q**2 + 8*q + 18. Let r be t(10). What is the common denominator of (r - (2 - 2)) + 144/(-27) and 29/15?
15
Let m = -827/20 + 173/5. Let p be 3/2 - (-4585)/(-3060). Let y = p + 2639/153. Calculate the common denominator of y and m.
4
Let v(m) = -707*m - 3. Let c be v(-2). Let d be