-55. What is the smallest common multiple of 30 and q?
330
Suppose 5*p + 3*n + 95 = 0, p + 2*n + 35 - 9 = 0. Find the common denominator of -43/38 and (-130)/p + (-24)/96.
152
Let j(c) = -15*c - 88. Calculate the smallest common multiple of 63 and j(-11).
693
Let q(i) = 19*i**3 - i**2 - 4*i + 6. What is the lowest common multiple of 60 and q(1)?
60
Let w(n) = n**2 - 11*n + 4. Let h be w(9). Let a be 34/119 + 522/h. Let b = a - -34. Find the common denominator of -34/9 and b.
9
Suppose 0*r - r - 6 = 5*t, 0 = -3*r - t + 38. Calculate the common denominator of 4/(-44) + (-8169)/770 and (r/(-16))/(5/34).
20
Let q(v) = 8*v - 4. Let n = 15 - 13. Let b = -30 - -52. What is the lowest common multiple of q(n) and b?
132
Let f be 1 + 8 + -2 - 2. Suppose 0 = 4*p - 5*p + f. What is the lowest common multiple of 7 and p?
35
Suppose -5*q = 4*r - 16 + 5, 0 = 3*r + 3. What is the least common multiple of 22 and (-1089)/(-44) + q/(-4)?
264
What is the common denominator of -19/20 and (-20)/1210*-11 - (-227)/(-9900)?
900
Let z be (-1)/(-1757*2/530). Let o = 2/251 - z. What is the common denominator of o and 314/54*1 + (-8)/2?
189
Let v = 2/16545 + 78704557/66180. Let d = v + -1170. What is the common denominator of d and 31/8?
8
Let b(a) = -a**3 - a - 1. Calculate the least common multiple of 142 and b(-2).
1278
Calculate the common denominator of ((-232)/40)/(66/(-25)) and -73/27.
594
Suppose -2*i + 4*g + 106 + 52 = 0, 5*i = 3*g + 381. What is the lowest common multiple of i and 90?
450
Let h be ((-585016)/(-10200))/(9*4). Let i = -1/1700 + h. What is the common denominator of -1/12 and i?
108
Let y = -79 + 187. Let v = y + -88. Calculate the lowest common multiple of v and 2.
20
Let g be (-30)/(-3) + -1 + 2. Suppose -g*b + 16 = -3*b. Calculate the lowest common multiple of b and 3.
6
Suppose -131 + 66 = -13*k. Calculate the smallest common multiple of k and 96.
480
Let d be (-2800548)/7 + 4/14. Let a be d/220 - (-6)/15. Let t = 1814 + a. Calculate the common denominator of 19/6 and t.
66
Let f = -2/12755 - -227047/51020. Let a = -838 + 5069/6. Let o = -6 + a. What is the common denominator of f and o?
60
Let u(o) = -2*o + 9. Let k(p) = -1. Let a(b) = -k(b) - u(b). Suppose -4*j + 35 = -0*d + 3*d, 0 = -2*d + 10. What is the smallest common multiple of a(j) and 6?
6
Calculate the smallest common multiple of 324/(-30)*50*(-5)/15 and 30.
180
Suppose 0 = 3*d - 2*v - 231, -3*d - 2*v + 219 = -0*d. Suppose d + 0 = -5*t. What is the lowest common multiple of 22 and (-207)/t + (-1)/(-5)?
154
Let j = -27 + 28. What is the smallest common multiple of j and 114?
114
Suppose 5*t + 5*c - 364 = 3*c, -3*t - 4*c + 224 = 0. What is the least common multiple of 75 and t?
1800
Suppose -2*d - 3*d + 225 = 0. Let t be (-1)/4 - 45/12. Calculate the least common multiple of (t/5)/((-2)/d) and 20.
180
Let r(w) = -11*w**2 + w + 1. Calculate the common denominator of r(-1) and ((-24304)/(-1953))/((-3)/(-1) - 1).
9
Calculate the common denominator of -91/12 and -1 - -1 - 27/(-14).
84
Suppose -5*s + 10 = 0, 3*s - 5 = 2*q + 3. Calculate the common denominator of -25/14 and -4 + (-147)/30 + q.
70
Let k(r) = r**3 + r**2 + r + 51. Suppose 0 = -3*p + p. Let u be k(p). Suppose -d + 1 = 0, -4*d = -f - 4*f + u. What is the lowest common multiple of f and 10?
110
What is the common denominator of ((-100)/(-800))/(41/44 + -1) and -2 + ((-58)/4 - -3)?
6
Calculate the common denominator of -73/159 and (-1 - -4 - 1)*(-146)/24.
318
Let f(c) = -c**3 - 7*c**2 - 8*c - 5. Suppose -z - 9 + 11 = 0. Suppose 4*b = -3*u + z, -4*b = 2*u - 2*b + 2. What is the least common multiple of f(u) and 6?
42
Let r be (-6)/(-9) - (-523)/12. Let h = r - 44. Let g = -4687/8 + 584. Calculate the common denominator of h and g.
8
Suppose 0*y = -3*y + 5*o + 786, 15 = 5*o. Let f = -105709 - -632521/6. Let l = f + y. Calculate the common denominator of l and 20/3.
6
Let o = 8 + -6. Let d(i) = 4 + 1 + 5*i**2 - 6. Calculate the lowest common multiple of d(1) and o.
4
Let c be ((-8)/(-6))/(6/(-9)). Let s = 1 - -1. What is the lowest common multiple of s and 5 - (2 - 2 - c)?
6
Let a = 195400141/660 + -296062. Let n = -13/55 + a. What is the common denominator of 17/3 and n?
12
Let i = -25 - -39. Let l(m) = -1 - 1 - 3*m + 1. Calculate the smallest common multiple of i and l(-1).
14
Let t = -1216 - -232. Calculate the common denominator of -87/44 and (-2)/9 - (3 + t/(-189)).
308
Let t = -134/263 + 44174/68117. What is the common denominator of -17/407 and t?
2849
Calculate the least common multiple of 8 and (-7)/7 + 1 + -5 + 8.
24
Suppose -2*z + 3*v + 34 = 0, 4*z = -3*v + 134 - 12. What is the lowest common multiple of (1 - 2)/((-1)/26) and z?
26
Let y = 18 + 5. Suppose 5*u - 3*u = 3*i - y, -4*i - u + 27 = 0. Let z(n) = 7*n + 39. What is the lowest common multiple of z(-5) and i?
28
Suppose -6*u + 30 = -11*u. Let v(t) = -t**2 - 8*t - 9. Let r be v(u). Find the common denominator of r + (2 - (-139)/(-22)) and 93/14.
154
Let a be (-44)/(-22) + (-3515)/6. Let r = a + 2371/4. Find the common denominator of r and (-56)/(-9) - (2 - 0).
36
Let l = -348147/520 - -8730/13. Calculate the common denominator of ((-412)/(-30))/(27/(648/(-128))) and l.
40
Suppose -r + 6*r = 310. Let h(j) = j**3 - 16*j**2 + 17*j - 16. Let w be h(15). Suppose -w - 10 = -4*c. Calculate the smallest common multiple of r and c.
186
Let q = -3 - -5. Suppose 4*v + 5*r = 3*r + 154, -157 = -4*v - 5*r. Let j = 16 + v. Calculate the least common multiple of j and q.
54
Let w(m) = -m**3 + 26*m**2 - 24*m + 15. What is the lowest common multiple of 44 and w(25)?
440
What is the common denominator of (-2)/16*(-296)/22 and -23/96?
1056
Let m = -3503 - -13115/4. Let r = 4603/20 + m. Find the common denominator of ((-22)/(-6))/((-4)/21) and r.
20
Let y be (2 - (-4 - -13))*-1. Let n(o) be the first derivative of o**3/3 - 5*o**2/2 - 10*o - 2. What is the least common multiple of 10 and n(y)?
20
Let i = -71/351659 + 4814588077/122377332. Let s = i - 892/29. What is the common denominator of s and 105/22?
132
Let x(l) = -5*l + 4. Let p be x(4). Let j = -22 + 27. Calculate the common denominator of 1/(-1)*300/p and j.
4
Let m(r) = 6*r**2 + 27*r + 61. Calculate the least common multiple of 21 and m(-4).
147
Suppose 4*v - 12 = 52. Suppose 0 = 7*c - 9*c + v. What is the lowest common multiple of 20 and c?
40
Suppose -4*w + 2071 = 2*h + 679, 702 = h - w. What is the least common multiple of h and 20?
700
Let m(r) = r**3 - 4*r**2 + r + 6. Let j be m(3). Suppose -5*k = j, 1 = -4*x - 4*k + 5. Calculate the least common multiple of 11 and x.
11
Suppose -g = 2*o + 3*o - 239, -4*o + 4*g + 196 = 0. Calculate the smallest common multiple of o and 30.
240
Let k = 843 - 663. What is the smallest common multiple of 15 and k?
180
Suppose -2*i + 2 = 46. Let j = i - -32. What is the least common multiple of 4*(2 - (-5 + 3)*1) and j?
80
Let r be (-13458)/60390 - (-1)/5. Let w = r - -679999/12078. Let o = w + -103/2. What is the common denominator of -13/3 and o?
9
Suppose -4*r - 74 = -p, r - 5*r = 8. What is the smallest common multiple of p and 3?
66
Calculate the lowest common multiple of (-3 - -7) + 32*(-1)/(-2) and 18.
180
Let n = 5 + -12. Let d(v) = -v - 2. Calculate the lowest common multiple of d(n) and (4/14)/((-117)/63 + 2).
10
Let k = 1261647910/23993 - 52584. Let l = k - 143300/7893697. Let f = l + -22545/8554. Calculate the common denominator of 3/2 and f.
26
Let c = 294 + -292. Calculate the lowest common multiple of c and 20.
20
Let d(q) = q**2 + 11*q - 10. Suppose 4 = g - 5*h - 8, 3*g = -5*h - 64. What is the least common multiple of 0*(-1)/(-2) + -18 + 22 and d(g)?
16
What is the common denominator of 59/321 and 10/(-75)*219/12?
3210
Let z = 2/765129 - 946464619/17597967. Let n = z - -54. Calculate the common denominator of -31/4 and n.
92
Calculate the common denominator of ((-3)/(30/19))/(-1) and (65/(-60)*-1)/(1/(-3)).
20
Let n(b) = 27*b**2 - b - 1. Let x be n(-1). Suppose -3*r = -2*l - 0*r - 28, 0 = 3*l + 3*r + x. Calculate the common denominator of -6 and l - -7 - 14/20.
10
Suppose -193 + 703 = 51*z. What is the smallest common multiple of z and 65?
130
Calculate the common denominator of 121/520 and (-46)/14 - -3 - (-3436)/560.
520
Let h = 5231/5 - 73779/70. Calculate the common deno