 238495415/36656 + 1144/2291. Let t = -6503 + g. What is the common denominator of t and 13/22?
176
Let r be (10/(-16) - -1)/(9/3990). Let s = r + -152. Find the common denominator of -5/7 and s.
28
Let u(r) = -89*r - 8. Let l(w) = 30*w + 3. Let d(f) = 8*l(f) + 3*u(f). Calculate the lowest common multiple of 18 and d(-1).
54
Let n(d) = -8*d**2 - 60*d - 10. What is the least common multiple of ((-12)/10)/(2/(-30)) and n(-7)?
18
Let f = 639/20 + -78039/2420. Let k = 5488/5 - 1086. Calculate the common denominator of k and f.
605
Calculate the common denominator of -89/132 and (8*4/(-12))/(9/6).
396
Suppose -u - 2 = u - 4*w, 0 = -2*u + 2*w + 8. Let p = u - 8. Find the common denominator of (3 - (-44)/72)*p and -95/6.
18
Let s(n) = n**3 - 20*n**2 - 22*n - 19. Let y be s(-14). Let h = -38101/6 - y. Calculate the common denominator of (20/(-6) + 3)*-11 and h.
6
Let i = 20947/8 + -2629. Find the common denominator of i and (-1)/3 - 31/(-39).
104
Suppose 5*h + 3*b = -117, -19 = h + 2*b + 3*b. Let t be 3/(h/(-4))*0. Suppose t = 8*k - 4*k - 4. Calculate the lowest common multiple of 9 and k.
9
What is the smallest common multiple of (-4 - 76/(-10))/(3/30) and 24?
72
Let s(j) = 61*j**2 - 1. Let x(q) = q + 5. Let p be x(-4). Let t be s(p). Find the common denominator of 65/2 and (-2)/5 - 491/t.
12
Suppose -7*z - 57 - 321 = 0. What is the common denominator of 3/(-4)*60/z and -24/11?
66
What is the common denominator of -7/220 and (3/(225/(-395)) + -2)/(-8)?
1320
Suppose 32 = 13*f - 5*f. What is the least common multiple of f and 110?
220
What is the smallest common multiple of 6 and 1 + (1 - -1) + -30 + 33?
6
Let s = -502 + 530. Calculate the lowest common multiple of s and 112.
112
Let l = -13591/5 - -2709. Let q = -461/55 - l. Find the common denominator of -22/69 and q.
759
Let b = -43/22 - -280/11. Calculate the common denominator of b and -11/24.
24
Let r be (-236)/16 - (1 + (-14)/8). Let t = r - -26. What is the least common multiple of t and 8?
24
Let j = -3231429/20 + 323531/2. Let n = j + -194. What is the common denominator of -53/55 and n?
220
What is the common denominator of -157/120 and 43/(-36)*(24/(-6))/1?
360
Let z = -49921/1122 + -4/561. Suppose 0 = 7*s - s - 6. What is the common denominator of (s - 54/(-56)) + 33 + -32 and z?
28
Suppose 0 = 2*h - 38 - 10. Suppose 3*i = 5*g + 27, 2*i - 2*g = 3 + 15. Calculate the least common multiple of i and h.
72
Calculate the common denominator of ((-200)/280)/(3/(-7)) and -79/15.
15
Let m be 1*6 + (-3)/3. Suppose -2*t + m + 1 = 0. Calculate the lowest common multiple of 6 and t.
6
Let d be 7/(3*1 + (-160)/56). Let u = d - 48. What is the smallest common multiple of u and 1?
1
Let g = -121 - -124. Let h(f) = 6*f + 1. What is the lowest common multiple of h(2) and g?
39
Calculate the least common multiple of 47 and ((-393)/655)/((-1)/15*1).
423
What is the common denominator of (11/22)/((-9)/(-10)) and -1 - 103*1/(-10)?
90
Let w be ((-16)/10)/(6/(-46995)). Suppose -2*a + 4*d = d + 8350, -d = -3*a - w. Let m = -66889/16 - a. Find the common denominator of m and -53/46.
368
Let u be 3/7 - (-25)/7. Suppose -4*l - 5*j - 12 = 0, 3*l - 2*j + u = 18. Calculate the common denominator of 58/3 and 32 - (l/(-4) - -1).
6
Let s(y) = y + 6. Let u(m) = m**2 - 5*m. Let t be u(4). Let f(x) = x**2 + x + 2. Calculate the lowest common multiple of f(-4) and s(t).
14
Suppose -5*d + 2*h = -80, -4*d - 6*h = -90 + 26. What is the least common multiple of 128 and d?
128
Suppose 2*b = -4*l + 12, 2*b + l + 2 + 1 = 0. Let n(m) = -m**2 - 5*m - 14. Calculate the common denominator of -31/6 and n(b).
6
Let q be 2 - 0 - 0/7. Calculate the lowest common multiple of 22 and q/2*15 - 3.
132
Let t = -8270/3 - -2299. Let d = 453 + t. Let l = -1145 - -9183/8. Find the common denominator of d and l.
24
Let s = 111 + -949/8. Find the common denominator of s and -97/198.
792
Suppose 4*m = 5*o - 3*o + 374, 6 = -3*m. Let s = 195 + o. Calculate the least common multiple of s and ((-10)/4)/(2/(-4)).
20
Let o = 9 - 72. What is the common denominator of o/(-6)*(-30)/(-18) and 71/3?
6
Suppose 2*k + 9 = -25. Let n = k - -33. Calculate the lowest common multiple of n and 16.
16
Let h(d) = 8*d + 9. Let s be h(6). Find the common denominator of s/9*4/6 and 57/2.
18
Let a = -26 + 41. Suppose -2*r + a = 3*r. Suppose -o = r*o - 80. Calculate the smallest common multiple of o and 10.
20
Let m = 18 - 48. Let k be -2 - ((-64)/(-24))/(6/(-153)). Find the common denominator of (-84)/m*k/(-21) and -75/4.
20
Let z = 23107/4530 + -51/755. Find the common denominator of z and ((-21)/15)/(36/70).
90
Let f be -3 + -3 + 1 + 5. Suppose f = 4*k + 5*a, -k - k - 5*a = 0. Suppose 2*p - 15 - 3 = k. Calculate the least common multiple of 10 and p.
90
Let q = -3833584556525557/52578 - -72912331330. Let a = -3/2921 + q. Calculate the common denominator of a and 2/5 - 694/160.
144
What is the lowest common multiple of 2198/91 + -4 + (-4)/26 and 14?
140
Suppose -53 - 27 = -2*y. Find the common denominator of -7/8 and (-592)/90 + (-8)/y.
72
Let n = 38/27 + -733/54. Let y = -3637 - -2074. What is the common denominator of y/594 - 4/(-18) and n?
66
Let i = -30 + 35. Suppose 3*q + n - 5 = 12, -3*n + 27 = i*q. Find the common denominator of -9/16 and (-4)/q - (-126)/216.
48
Let r(h) = 15*h**2 + 72. What is the lowest common multiple of 408 and r(0)?
1224
Let q(x) = -x**3 - x**2 + x - 84. Let m be q(0). What is the common denominator of 11/7 and (0 - 21/(-18))*318/m?
84
Let p be (-36)/(-15) - (-3)/5. What is the common denominator of p/8*944/36 and 830/(-12)*1/(-5)?
6
Let f(u) = -7*u - 67. Let t = 41 + -35. Calculate the lowest common multiple of f(-13) and t.
24
Let m be 44/(-3)*(-378)/(-36). Find the common denominator of -88/15 and 28/(-98) + (-226)/m.
165
Suppose -3 - 1 = -4*m. Let u be m/2*(4 - 4). Suppose b + 2*a - 16 = 0, a = b - u*a - 1. Calculate the lowest common multiple of b and 4.
12
Suppose 21*r - 22 = 19*r. Suppose 8*p + r - 27 = 0. What is the smallest common multiple of 2 and p?
2
Let d = -50241/11 + 27397/6. What is the common denominator of -137/102 and d?
1122
Let r = -6884 - -13052. Let h = 37091/6 - r. Find the common denominator of 44/7 and h.
42
Suppose -4*a - u + 428 = -6*u, 2*u = 8. Calculate the smallest common multiple of 42 and a.
336
Suppose 2*n + 152 = -3*a, -3*n + 5 + 10 = 0. Calculate the common denominator of (a/34)/((-12)/8) and -37/10.
170
Let n = -25 + -68. What is the common denominator of (376/(-240))/(2/(-5)) and -1*n/18 + 1?
12
Let s(g) = 14*g**2 + 17*g + 1. Let c(u) = 5*u**2 + 6*u. Let k(a) = -17*c(a) + 6*s(a). Calculate the lowest common multiple of k(0) and 30.
30
Suppose -5*q = g + 31, 0 = -2*g + 4*q - 3 - 3. Let w = -7 - g. Suppose 20 + 52 = w*f. What is the smallest common multiple of f and 6?
18
Let h = -40/1683 - 1/153. Let l = 172/9 + -359/18. Find the common denominator of l and h.
66
Find the common denominator of 53/27 and (-154)/(-396)*((-140)/(-3))/7.
27
Let j = -12484/7 - -1779. What is the common denominator of j and -19/7?
7
Suppose -5*x - 11 + 3 = -4*f, f + 2*x - 2 = 0. Find the common denominator of 85/8 and 4/f + -1 - (-550)/(-60).
24
Let f(k) = -47*k**2 - 2*k + 28. Let r be f(-7). Let u = -20392/9 - r. Find the common denominator of u and -1/9.
9
Suppose 74 - 26 = 12*m. Calculate the lowest common multiple of 24 and m.
24
Let i be (0*(2 + 2)/(-4))/(-2). Find the common denominator of -29/6 and (-295)/10*(i + -1)/1.
6
Let q = 119 - 101. Let c be 382/8 - 4/(-16). Suppose -44 = -2*y - 3*y - 3*g, c = 5*y + g. What is the lowest common multiple of y and q?
90
Let s be 3 + -5 + (0 - -2). Suppose 3*v - 3*q - 15 = 0, -3*q = -v - s*q - 1. Calculate the least common multiple of v and 22.
88
Let p = 10 - -84. Suppose p + 18 = 7*d. Calculate the lowest common multiple of d and 18.
144
Let b = 615 - 306. Let j be b/(-6)*(1 - -1). Calculate the common denominator of 51/10 and 36/48 - j/4.
10
Let p be -10*-6*2/(-3). Let q = -141 + 127. Calculate the common denominator of q and -6*((-22)/p)/1.
10
Let r(g) = 6*g**3 + g**2 - 2*g + 1. Let o be r(1). Let v(z) = -3*z + 36. Calculate the lowest common multiple of 21 and v(o).
126
Let c = 209/408 + 672685/408. Let j = 1658 - c. What is the common denominator of 11/4 and j?
4
Let z = 81401/8