
570
Let p = 33333/10 + -3336. What is the common denominator of -127/170 and p?
170
Suppose -107*y + 1440 = -110*y. Calculate the common denominator of 19/36 and (126/y)/((-4)/(-16)).
180
Find the common denominator of 1*151/(-660) + 14/140 and 137/330.
660
What is the smallest common multiple of -6*5/(-135) + 79/9 and 7 + (1/2 - (-11)/(-22))?
63
What is the common denominator of -94/15 and 92/(-10)*21/378?
45
Let m = 190610/43 - 4433. Let b = m + 973/129. What is the common denominator of 12/10*(-78)/(-8) and b?
30
Suppose 0 = 5*j + 5*j - 20. Calculate the smallest common multiple of 41 and j.
82
Let t = 170 + -148. Suppose 8 = -4*v + 5*v. Calculate the smallest common multiple of t and v.
88
Let w(t) = t**2 + 19*t + 25. Calculate the least common multiple of 3 and w(-18).
21
What is the smallest common multiple of 119 and 1/(5/55 + 17/(-308))?
476
Let g = -15 - -39. What is the common denominator of -9/2 and 3/(-4) + (-358)/g?
6
Let m(b) = 3*b**3 + 21*b**2. What is the smallest common multiple of m(-5) and 25?
150
Suppose 4*p - 7 = 1. Let z be ((-6)/6)/(0 + 1). Let b = z - -10. What is the lowest common multiple of p and b?
18
Let v(l) = -l**2 - l + 4. Let b be v(2). What is the lowest common multiple of (b - (2 + 0)) + 20 and 4?
16
Let d = -145420483 + 172759551229/1188. Let b = d + -1/1188. Let c = 2/1181 + -48431/5905. Find the common denominator of c and b.
15
Calculate the common denominator of -85/14 and ((-226)/84)/(0 + -10 + 9).
42
Let r = -12074/8547 - 3/259. Find the common denominator of r and 16/105.
1155
Let w(t) = -t**3 - 9*t**2 - 13*t - 12. Let z be w(-8). Let d = z + -10. What is the lowest common multiple of d and 30?
90
Let c = 1 - 8. Let u = -1 - -2. Let t = u - c. What is the least common multiple of t and 16?
16
Let m(f) = -9*f**2 - 31*f + 60. Let v(j) = -5*j**2 - 16*j + 30. Let l(s) = 4*m(s) - 7*v(s). What is the least common multiple of 4 and l(-14)?
4
Let w(q) = -q**2 - 4*q - 3*q - 9*q - 18. Suppose -114 - 26 = -5*v. Calculate the least common multiple of v and w(-14).
140
Suppose -4 = -5*h - 34. Calculate the common denominator of 301/h + (-2)/(-3) and -10/9.
18
Let q(k) = k**3 + 12*k**2 - 32*k - 32. Let c be q(-14). Suppose 48 = 3*u - c. Calculate the lowest common multiple of 15 and u.
120
Let n be (10949/14)/((-108)/(-441)). Let s = n - 9569/3. What is the common denominator of s and -143/24?
24
Let k(o) = o**2 + 5*o + 3. Let b be k(-5). Suppose 8*a - 3*a - 10 = -5*s, -11 = 2*a - b*s. Calculate the common denominator of -109/28 and a/(-2)*53/(-4).
56
Let d(n) = -n**3 + 3*n**2 + 4*n + 6. Let v be d(5). Let l be v/((6/(-4))/1). Calculate the common denominator of ((-2)/l)/((-3)/201) and -53/3.
24
Let c be (-212745)/(-25) + (-1)/(-5). Let b = c + -119233/14. Calculate the common denominator of -13/14 and b.
14
Let y = 3579/2 + -1776. What is the common denominator of -39/382 and y?
382
Let l = -720234284061762211/251940 + 2858753211321. Let k = l - -2/12597. Find the common denominator of 478/80 + (-28)/(-70) and k.
40
Let p be (1 - -2)*(-29780)/72. Let m = 1228 + p. What is the common denominator of 125/72 and m?
72
Let x be 5/10*(7 - 1). Suppose -3*s - s + 62 = 3*h, h - 25 = x*s. Calculate the lowest common multiple of h and 4.
44
Let g = 68095/18 - 3779. What is the common denominator of ((-126)/(-32) + 1)/1 and g?
144
Suppose -4*v = -2*v - 8. Let h(d) = -d + 8. Suppose 3*a - 2*c - 61 = -1, 3*c - 9 = 0. What is the smallest common multiple of a and h(v)?
44
Let p be ((-4890575)/360)/(1/3). Let f = p - -40761. Calculate the common denominator of f and 83/21.
168
Let j = 8720 - 122019/14. Find the common denominator of (-7)/(840/(-279))*10/12 and j.
112
Calculate the common denominator of -41/100 and 63/84 + 6/135.
900
Suppose 0 = a + 18 - 14. Find the common denominator of (105/14)/(14/a) and -51/11.
77
Let z be (1251/(-21))/((-6)/4 - 0). Let v = -335/7 + z. What is the common denominator of 113/24 and v?
168
Let r = 284 - 278. What is the smallest common multiple of r and 87?
174
Let p be -1 + 7/(714/100). Let t = p - -346/17. Find the common denominator of t and 7/3.
3
Let r be (-3)/4 - 2/8. Let h(w) = -6*w**2 - w - 1. Let z be h(r). Calculate the common denominator of 95/4 and 49/z + 2 + -4.
12
Let b = -367 - -463. Calculate the lowest common multiple of b and 18.
288
Suppose 3481*p - 3475*p - 18 = 0. Calculate the lowest common multiple of 36 and p.
36
Suppose 17*a = -15*a + 1152. What is the lowest common multiple of 297 and a?
1188
Suppose 14*b - 2290 = 790. Calculate the lowest common multiple of b and 80.
880
Let g(b) = 30*b + 6. Let f be g(3). Let x = 2/4473 - 380209/8946. Find the common denominator of x and (-7 - 3)/(f/92).
12
Suppose 2*u - u = 2. Suppose -u*m + 42 = m. What is the least common multiple of m and (-56)/(-8)*((4 - 2) + -1)?
14
Let d = 5501 - 5267. Let l = 30 + -14. Calculate the least common multiple of d and l.
1872
Suppose -3*n + n = 5*c - 50, 0 = -5*c + 4*n + 80. What is the least common multiple of c and 44?
132
Suppose -2 = 2*c - 2*o, -1 = 6*c - 2*c - 3*o. Suppose -t = -8 - 0. What is the lowest common multiple of t and c?
8
Let k be 6*(-1)/(-5)*70/(-21). What is the common denominator of 33/7 and (-10)/k*(438/10)/(-3)?
14
Let f be ((-1)/(-10))/((-2)/2328). Let w = 302 - 416. Let q = w - f. Find the common denominator of q and -27.
5
Let i be -4*(-8 + 4 - -5). Let r be (-12)/i + 1*-1. Let b = 10 + r. What is the smallest common multiple of 22 and b?
132
Calculate the common denominator of 47/116 and 5 - (((-1338)/(-216) - -3) + -4).
1044
Let k be 2/(-10) - 30963/135. Let j = k + 17221/72. What is the common denominator of (-324)/20*(-2)/4 and j?
40
Let h(p) = -2*p - 7. Let o be h(-5). Suppose v = -2 + o. Let f = 11 - v. Calculate the least common multiple of f and 6.
30
Let i = 15 + -20. Let t be 215676/960 - 2/i. Let c = t + -225. Find the common denominator of c and -91/16.
16
Let t = -587/60 + 199/30. Suppose 0 = -3*c - 298 - 314. What is the common denominator of (3/132)/((-6)/c) and t?
220
Let k = -17 + 18. What is the smallest common multiple of (-15)/((-5)/k) - -9 and 32?
96
Let b(d) = -3*d. Let t(s) = -12*s**3 + 175*s**2 + 76*s - 11. Calculate the least common multiple of b(-2) and t(15).
12
Calculate the smallest common multiple of 1/(427/70 - 6) and 256.
1280
Let x be 2/4*0/(-3). Suppose -6*l + 8 + 4 = x. Suppose 5*c - 10 = 0, i = -l*i - 5*c + 76. Calculate the lowest common multiple of i and 16.
176
Let i be (-1 - -350) + 1 - -1. Suppose -51 = 4*c - i. Calculate the least common multiple of 10 and c.
150
Suppose 7*l - 44 = 3*l. Let c(q) = 2*q**3 - 27*q**2 + 11*q + 30. What is the smallest common multiple of c(13) and l?
44
Let q = 37552/6045 - -22/403. Calculate the common denominator of q and (-1 + 0)*((-530)/105)/(-2).
105
Let i be (-167)/((36/(-602))/(-3)). Let w = -8402 - i. Let q = -270 + 1344/5. What is the common denominator of w and q?
30
Let r = 9581/5476 - -1/2738. Find the common denominator of -21/25 and r.
100
Let l(f) = -f - 1. Let u(m) = m**2 - 3*m - 1. Let w(h) = -2*l(h) + u(h). Let s be w(-5). Suppose -s = -3*b - 7. What is the least common multiple of 9 and b?
72
Let n(z) be the first derivative of z**4/4 - 5*z**3/3 - 2*z**2 + z - 3. Let c be n(4). Calculate the common denominator of 13/3 and -4 + (c/4 - -3).
12
Suppose 2*x = -5*c - 15, 8*c = -5*x + 5*c + 10. Calculate the least common multiple of 313 and x.
1565
Let h(d) = 10*d + 37. Let f be h(-6). Let k = f + 26. What is the smallest common multiple of k and 14?
42
Let y(l) be the first derivative of l**3/3 - 2*l**2 + 4*l + 3. Let d = 35 - 25. What is the least common multiple of y(5) and d?
90
Let d = 2134634/882035 + 1404/2765. Let c = -9/58 + d. What is the common denominator of 5/18 and c?
198
Suppose 756 = -31*d + 38*d. What is the least common multiple of 144 and d?
432
Let l = 104/167 - -5939/4676. Calculate the common denominator of 31/16 and l.
112
Let c be 0 - -15 - (-1 - -1). What is the common denominator of (1 + (-111)/9)*(-63)/60 and (-2 - c/22)*-1?
110
Let f be (-9)/54 - (-1603)/6. Find the common denominator of (f/6)/((-10)/(-2)) and (-70)/(-72) + 1/4.
90
Suppose -2*l = 5*g + 1985, 0 = 4*l + 28 - 8. What is the common denominator of 274/96 + (-2)/3 and 1 + 2 - g/20?
16
Find the com