10. Find the common denominator of q and k.
10
Suppose -4*a = -9*a + 80. Let k = 19 + -1. Calculate the lowest common multiple of a and k.
144
Suppose 3*q = -93 - 21. Let j = q - -42. What is the lowest common multiple of 11 and j?
44
Let z = 525 - 417. What is the lowest common multiple of z and 39?
1404
Suppose 5*w = 10*w + 10. Let i be 2/4*(-6)/(-3). Calculate the smallest common multiple of 2 - (w + 0/i) and 11.
44
Let f = 8883/2717 + -336/247. What is the common denominator of f and (26/(-24))/((-1)/20)?
33
Let i = -377 + 1589/4. What is the common denominator of i and 3/((-120)/(-43)) + -1?
40
Calculate the lowest common multiple of ((-96)/(-5))/((-133)/15 + 9) and 8.
144
Suppose 5*j + 116 = j. Let d = 3 - j. Suppose 3*m - 34 = d. What is the lowest common multiple of 4 and m?
44
Let w(f) = 15*f**2 + f + 2. Let g be w(-2). Suppose 0 = 3*s - 2*u - 79, -7*u = -5*s - 3*u + 131. Calculate the least common multiple of (9/(s/g))/2 and 16.
80
Let b = 20 + -65. Suppose 110 = -3*s - 2*s. What is the common denominator of b and ((-4)/s)/(6/(-57))?
11
Suppose 0 = z + 121 + 2329. Let n = -19629/8 - z. Let v = 2/2275 - -1361/4550. Find the common denominator of v and n.
40
Let z(k) = -41*k + 15. Let n be z(-6). Let r = 4997/208 - 318/13. What is the common denominator of r and (n/(-40))/((-14)/(-4) - 5)?
80
Let t = -36 - -44. Suppose 0*q - t*q = -8. What is the smallest common multiple of 2 and q?
2
Suppose -7*n - 169 + 430 = 163. Let v = 1 + 1. Calculate the lowest common multiple of n and 3/(-6) + 29/v.
14
Suppose -5*a - 25 = 5*n, -a - a + 4*n = 16. Let f = 28 + a. Suppose 5 - 3 = -v + 3*q, -4*v - 3*q = -f. What is the least common multiple of v and 2?
4
Let w = -3210 - -1101029/343. Let n = w - -1037/2744. What is the common denominator of n and -46/7?
56
Let m(s) = -95*s**2 - 5. Let v be m(-2). Let l = 19251/50 + v. Calculate the common denominator of l and (9/(-8) + 1)*166.
100
Let z = 1061/30 + -706/15. Find the common denominator of (22/(-20) + 1)/(63/3486) and z.
30
Let o be (-38)/(-8) - ((-51)/12 + 4). Suppose t - 5*t = 2*p - 38, -35 = -4*t - o*p. Calculate the lowest common multiple of t and 14.
70
Let r = -212356 + 53088913/250. What is the common denominator of 13/50 and r?
250
Let m = 32 + -32. Suppose 4*r + 2*r - 84 = m. What is the smallest common multiple of r and 20?
140
Calculate the lowest common multiple of 150 and 13787/153 - (-3)/(-27).
450
Let c = -4100 + 180409/44. Let h(o) = -4*o**2 + 33*o - 18. What is the common denominator of h(9) and c?
44
Suppose -3*q + 8*q + 30 = 0. Let y be (-3)/q - 21/(-2). Suppose 4*v + 61 + y = 2*r, 3*r = 3*v + 93. Calculate the common denominator of 59/3 and r.
3
Let s(h) = 17*h**3 - 4*h**2 - 12*h + 30. Calculate the least common multiple of 18 and s(2).
126
Let u(p) = -1013*p**2 + 1. Let y be u(-1). Calculate the common denominator of y/(-912)*3 - 3 and 95/16.
304
Let b = 13 - 5. Let f be b*(-1 + 4)/12. Calculate the common denominator of -40 and (f/18)/((-4)/786).
6
Let m = -3/1006 - 70411/3018. Calculate the common denominator of 591/(-14) - 4/14 and m.
6
Suppose -2*r = j + 3*j - 116, j - 335 = -5*r. What is the least common multiple of 408 and r?
408
Suppose -3*x + k = 120, -111 = 5*x - 4*k + 82. Let u = -19 - x. Let t = 295 + -273. What is the least common multiple of t and u?
22
Let a = 125 + -121. What is the smallest common multiple of a and 36?
36
Let d = 145/24 - 20/3. Let k(z) = z**2 + 3*z + 3. Let m be k(-4). Find the common denominator of (m/(-35))/(4/(-86)) and d.
40
Let z = -67 + 16. Let s = z + 67. Calculate the smallest common multiple of 26 and s.
208
Let j(u) = -458*u + 463*u + 3*u**2 - 2*u**2 + 24. What is the least common multiple of j(0) and 45?
360
Suppose -5*b + 70 = -330. Calculate the smallest common multiple of 18 and b.
720
What is the common denominator of 9*53/150*(-20)/(-24) and -77/1196?
5980
Suppose 2*t - 26 - 2 = 0. Suppose 0 = -0*b - 4*b. Suppose -4*u - 32 = -3*s, -2*u + 2 + b = 0. What is the least common multiple of t and s?
84
Calculate the common denominator of 2/(-16) - (-796)/32 and 1*2 - (0 + 210/102).
68
Let m(v) = -4*v - 27. Let z be m(-19). Find the common denominator of 23/38 and (-166)/581*(-1 - z/(-2)).
266
Let y(t) = t**3 + 9*t**2 - 3. Let w be y(-9). Let a be -3 - w/6*-2. Let x = a - -12. Calculate the smallest common multiple of x and 14.
56
Suppose a = 2*p, 2*a + 2*a + 3*p - 11 = 0. Suppose 0 = a*b + 2622 - 9482. Let q = b - 75411/22. Calculate the common denominator of q and -47/26.
286
Suppose 5*t = t. Let f(z) = -z**3 + 2. Let j be f(t). Suppose -2*l = -6 + j. What is the lowest common multiple of l and 11?
22
Let y = -99 - -111. Calculate the least common multiple of 392/32 + (-3)/y and 52.
156
Let o(t) = -12 - 8*t + t**2 - t - 6. Calculate the least common multiple of o(11) and 18.
36
Let w = 7104 + -141993/20. Suppose -3*t + 6*t + 75 = 0. What is the common denominator of (-10)/t + (-258)/220 and w?
220
Let z = 0 - -5. Suppose z*a + r - 47 = 2, -4*a = -3*r - 43. What is the common denominator of 53/6 and a/88*(0 + -2)?
66
Let x = 15387 + -307687/20. Let q be 2/(-1) + 18582/496. Let w = q - -9/248. Calculate the common denominator of x and w.
20
Let r(x) = -4*x**2 - 21*x + 2. Let z(o) = -o**3 - 8*o**2 + 9*o - 2. Let b be z(-9). Let s = 4 - b. What is the lowest common multiple of s and r(-5)?
42
Suppose -50*d = 857 - 5057. Calculate the lowest common multiple of d and 96.
672
Let r be 42/(-9) - 2/(-3). What is the common denominator of 7/(-12)*22 - r and ((-1)/8)/((-90)/5240)?
18
Let b be (-21034)/1974 - (3 - (-96)/(-28)). Let w = b + 37/94. Find the common denominator of w and -14/9.
18
Let g = -530 + 548. Calculate the least common multiple of g and 21.
126
Suppose -21*m = -6484 + 1864. Calculate the least common multiple of m and 100.
1100
Let m be (-2)/(-4) + (1 - -1 - 15). Let s = m + 35/4. Calculate the common denominator of -19/8 and s.
8
Let x = 1679/42 + -309/7. Calculate the common denominator of x and 47/100.
300
Suppose 17*h + 3*t = 14*h + 312, -3*h - t + 320 = 0. Calculate the least common multiple of h and 8.
216
Suppose -3 = -3*d - 4*c, 0 = -0*d + 5*d - 5*c - 5. Let o be (-357)/684 + d/4. Let n = -116/19 - o. Calculate the common denominator of 63/34 and n.
102
Let h = -1 - -7. Find the common denominator of (3*3/27)/((-22)/156) and 4/18 + 46/h.
99
Let k(t) = 683*t - 1. Let d be k(-8). Let c = d - -81904/15. Calculate the common denominator of c and 7/12.
60
Let j = -330385/39384 - 1/13128. Let y = 252 + -82. Calculate the common denominator of j and 9/54*y/(-6).
18
Suppose 0 = v - 4*s - 5 - 1, -2*v + 2*s = -6. Suppose 0 = -10*m + 5*m + 55. Calculate the least common multiple of m and 3/(-6) + 23/v.
11
Let k = -18754297/21690 + 15563/18. Calculate the common denominator of 5/9 and k.
10845
Suppose n = -2*a + 49, 93*n - 3*a - 174 = 90*n. What is the least common multiple of 55 and n?
55
Let m = -45 + 52. Let f(a) = -a**3 + 10*a**2 - 18*a - 3. Calculate the smallest common multiple of 34 and f(m).
306
Let i = -1342 + 21125/14. Let a = i + -885/7. What is the common denominator of 87/98 and a?
98
Let a = 2873/84 - -149/28. Let b = a - 216/7. Find the common denominator of -50/11 and b.
33
Suppose 11*v - 24*v + 442 = 0. Calculate the lowest common multiple of v and 51.
102
Let v be 24/9*-3*-1. Suppose 96 = v*s - 5*s. Suppose -36 = -4*l - 3*k, -l - 2*l = k - s. What is the smallest common multiple of l and 14?
84
Suppose -2*k + 2 = -k. What is the common denominator of 18095/(-4900) + (-3)/(-21) and (-525)/(-18) - k/3?
20
Suppose 2*g = -87 - 71. Let h = 169 + g. What is the common denominator of (27/12 - 2)*h and 19/4?
4
Let q = -68989/48 + 1177/48. Let s = q + 1421. Find the common denominator of -17/4 and s.
4
Let r(b) = b**2 - b - 7. Let v be r(4). Suppose 3*o - v*z = -0 + 8, 4*z = 8. Let a = o + 2. Calculate the smallest common multiple of a and 6.
24
Suppose 2*v - 12 = -j, 0 = -0*j - 2*j - v + 24. Calculate the lowest common multiple of j and 5.
60
Suppose -17*z - 2 = -104. What is the smallest common multiple of z and 94?
282
Let f(t) = -t + 7. Let u be f(-5). Let s = u + -10. Let d(o) = 10*o**2 - o - 1. What is the least common multiple of d(-1) and s?
10
Let p = -663 + 1949/3. Find the common denominator of 105/27*(-8)/