 -5*c - 7*q = -10*q - 39, -5*c = 3*q - 21. Let v = -112 + 162. What is the smallest common multiple of v and c?
150
Let u(l) = -2*l - 3. Let j be u(-3). Let b(y) = y**3 - 3*y**2 - 2*y + 4. Let h be b(j). Let f(v) = -15*v - 2. What is the common denominator of -99/8 and f(h)?
8
Let x be 3 - 1221/24 - 1. Let o = -497/8 - x. Calculate the common denominator of o and (6/(-44))/((-1)/7).
44
Let u = 5 - 3. Suppose -u*k - 2 = -22. Calculate the smallest common multiple of 2 and k.
10
Let w(o) = o**3 - 6*o**2 + 2*o. Let v(b) = -b. Let g be v(-6). Suppose 4*m = -l + 2*m, -2*m = -5*l + 48. What is the least common multiple of l and w(g)?
24
Let z be 9/(-12) + 244/4. Let h = z + -63. What is the common denominator of h and -55/6?
12
Suppose 0 = -2*o - 0*o - 5*s, 5*o = -4*s + 34. Find the common denominator of 295/4*o/(-175) and 83/10.
70
Suppose -2 = -v - 0*v. Suppose -3*r + 64 = 4*g, -3*r + 69 = 5*g - v*r. What is the smallest common multiple of g and 3?
39
Calculate the smallest common multiple of 6*(4 + 0 + -3) and 18.
18
Let u = 4 - 2. Calculate the common denominator of -3/2 and (-1)/(16/(-218)) - u.
8
Let c = -56021/20136 + -8/839. Let j = 109/120 - c. Calculate the common denominator of -59/8 and j.
40
Suppose -5*p = -12 + 2. Suppose -p*c - 2*n + 25 = n, 0 = -2*c + 4*n + 4. Calculate the lowest common multiple of c and 8.
8
Suppose 5*f = 14 + 61. What is the smallest common multiple of f and 24?
120
Let r(y) = 2*y**2 - 2*y. Let p be r(4). Suppose 4*z + p = -4*c, -2*c + z - 12 = 3*c. Calculate the common denominator of ((-9)/(-10))/c*21 and -13/4.
20
Suppose 0 = 13*z - 21*z + 80. What is the least common multiple of 3 - (-1 - -1*1) and z?
30
Suppose -5*u - 100 = 2*k, 2*k + 2*k + 170 = 5*u. Let f = k - -65. What is the least common multiple of 10 and f?
20
Let c = 2286/7 - 311. Let q = c + -17. Find the common denominator of q and 31/11.
77
What is the smallest common multiple of 2 and 17/((0 - -2) + -1)?
34
Let n = 5 - 2. Suppose -3*f + 2*f = -n. Suppose -r + 2*d + f*d = 4, -2*d - 72 = -5*r. Calculate the smallest common multiple of r and 22.
176
Let l = 1703/6 - 279. Find the common denominator of l and 1*2 + 260/(-45).
18
Find the common denominator of 146/(-16) - (0 + -2) and 43/10.
40
Suppose 0 = -4*k + 2*k - 8. Suppose 21 = -0*d - 4*d - 3*w, 5*d - 3*w = -6. Calculate the lowest common multiple of (k/d)/(1/6) and 11.
88
Let s = -8 - -19. Let v(a) = a**3 + 6*a**2 - 2*a - 1. Let p be -8 + 3 - (1 - 0). What is the smallest common multiple of s and v(p)?
11
What is the common denominator of (-64)/48 - (-29)/33 and 27/14?
154
Let z be (-8932)/(-49) - (-4)/(-14). Suppose 0 = o - q + 34, 5*q + z = -5*o + 4*q. Let n = -25 - o. Calculate the smallest common multiple of n and 2.
22
What is the common denominator of -39/20 and 3 + -1 + 159/(-60)?
20
Let u(f) be the first derivative of f**4/4 - 10*f**3/3 + 3*f**2/2 - 12*f - 2. Suppose 5*g - 13 = 37. Calculate the smallest common multiple of u(g) and 22.
198
Find the common denominator of -40/3 and 110/(-56) + (-30)/105.
12
Let g(f) = -3*f + 1. Let h be 0*(-2)/4 - 2. What is the least common multiple of g(h) and 6?
42
Let s = 2 + -2. Let r be s - 0 - (-713)/(-55). Let g = 63/22 + r. Find the common denominator of g and -29/18.
90
Let i(d) = d**3 + d**2 - 2*d. Let o be i(-3). Let b(q) = q**3 + 11*q**2 - 15*q - 16. Calculate the lowest common multiple of 6 and b(o).
60
Let c = 2/13865 - -24012/25775035. Let s = -79969/29744 + c. Let r = -10 - -241/12. Calculate the common denominator of s and r.
48
Let a(q) = q**2 - 8*q + 10. Suppose 3*h = -0*r - 5*r + 41, -2*r - 6 = -2*h. What is the least common multiple of a(h) and 11?
33
Suppose -d + 3*y = -y - 24, -4*y = 5*d. What is the lowest common multiple of 9 and -4 + 9 + -2 + d?
63
Let t = 13 + -7. Calculate the lowest common multiple of t and 59.
354
Suppose -9*h = -6*h - 42. What is the smallest common multiple of h and 4?
28
Let i = 26 + -24. Calculate the lowest common multiple of 0 + 0 + 1*4 and i.
4
Let h = 2455/3 + -1649/2. Calculate the common denominator of h and -57/92.
276
Calculate the common denominator of (-3 + -22)*4/6 and 113/30.
30
Suppose -4*k + 193073122 + 97421090 = 0. Let d = k + -1307794543/18. Let v = d - -31691. What is the common denominator of v and 17/18?
18
Suppose -2*g + 4*y = -0*g - 30, 0 = 3*y - 3. Suppose f + 3*f = 28. Let s = g - f. What is the lowest common multiple of s and 11?
110
Let l(t) = 3*t**3 - 5*t**2 - 4 - 6*t + 2 - 2*t**3 - 2*t**3. What is the lowest common multiple of l(-4) and 10?
30
Let j = 5070/29 - 206251/1160. Calculate the common denominator of -59/20 and j.
40
What is the least common multiple of (15/(-10))/(3/(-40)) and 8?
40
Let g = 14859/5680 - 231/71. Find the common denominator of 25/6 and g.
240
Let k(q) = 11*q**3 + 2*q**2 - 3*q + 1. Let t be k(3). Let v = t - 595/2. Calculate the common denominator of 4/12 - (-74)/48 and v.
8
Let a = -200613/20 - -10034. Find the common denominator of (-144)/252 - 1590/(-308) and a.
220
Let g = 120 + -38. Calculate the smallest common multiple of g and 8.
328
Let c(f) = f**3 + 16*f**2 + 27*f - 5. Calculate the least common multiple of 6 and c(-14).
18
Let w = 1251/77 + -469/22. Find the common denominator of ((-2)/(-66))/((-4)/390) and w.
154
What is the common denominator of -38/5 and 67/(-168) + 3/(-24) + 2?
105
Let c(a) = a**3 - 5*a**2 - 3*a - 12. What is the least common multiple of 18/5*(-20)/(-6) and c(6)?
12
Let k(p) = -p. Let g be k(-6). Let n = g + -3. Find the common denominator of n/2*(-5)/(-7) and 67/4.
28
Let x = -3/16426597 - 488315703/12188534974. Let o = 9227/8904 + -25/24. Let i = x + o. What is the common denominator of i and -67/6?
66
Let x(g) = -g**3 + 3*g**2 - 3*g + 2. Let w be x(2). Suppose w = 2*b + 5*b - 42. What is the smallest common multiple of b and 4?
12
Suppose 1 = -a + 10. Calculate the least common multiple of 38 and a.
342
Let v = -24 + 21. Let u(b) = 2*b**2 + 2*b - 7. Calculate the least common multiple of 8 and u(v).
40
Let d = -22/39 - -2489/195. Suppose m = -2*m + 5406. Let b = m + -16166/9. Find the common denominator of d and b.
45
Suppose -48 = -3*i - 3*r, 3*i + 2*r = -2*i + 80. Calculate the least common multiple of 6 and i.
48
Let t = 8 + -3. Suppose -2*i = -t*i + 18. What is the least common multiple of i and 22?
66
Let r be 19/1*(-7 - -4). Calculate the common denominator of -29/16 and 1/(-2) - r/(-66).
176
Let j = -34 - -48. Suppose -3*v = -2*y - 5*v + j, -4*v - 2 = y. Calculate the smallest common multiple of 2 + -2 + (-1)/(-1) and y.
10
Let r be (0/(-5))/(0 + 1). Let i(d) = -d - 13411. Let j be i(r). Let x = -161065/12 - j. What is the common denominator of x and 127/6?
12
Calculate the common denominator of (-27)/(-72)*2*183/18 and -79/16.
16
Let w be 340/16 - (-1)/(-4). Let d(g) = -g + 4. Calculate the lowest common multiple of (-6 + 2)/((-6)/w) and d(-6).
70
Find the common denominator of 2/10 - (-332)/15 and -37/15.
15
Suppose 0 = j - 34281 + 168. Let o = -511414/15 + j. Let h = 51/10 + o. Find the common denominator of 37/12 and h.
12
Suppose -2*b + 200 = -4*a, b + 4*b - 3*a - 507 = 0. Let u = 1591 + -3243/2. What is the common denominator of u and b/4 - 0/6?
2
Let g = 8 + 7. Suppose -3*p - g = -3*b, 2 + 17 = 3*b - 4*p. What is the least common multiple of b and 4?
4
What is the common denominator of (27/(-5))/((-8)/(-10)) and 3/(-12) + 111/44?
44
Let k be 1*8/(-4) + -5. Let f = 9 + k. Let d = 12 + -6. Calculate the least common multiple of f and d.
6
Let y(c) = c**2 + 2*c + 2. Let b be y(0). Calculate the least common multiple of -9*(32/(-12) + b) and 4.
12
Let k(l) = l**2 - 2*l. Let n(w) = -2*w**2 + 3*w. Let u(o) = -5*k(o) - 3*n(o). Let t be u(-2). What is the lowest common multiple of 14 and 12*t/2 - -2?
14
Suppose 0 = 4*o + 2*r - 16, 5*o - 21 = -2*r. Suppose -3*l + 0*h = -o*h - 41, -3*h - 3 = 0. Calculate the lowest common multiple of l and 4.
12
Find the common denominator of -83/6 and (2/28)/((-188)/(-48) - 4).
42
Calculate the smallest common multiple of 5 and -7 - -21 - (-4)/(-1).
10
Let u(a) = 2*a**2 - 4*a + 4. What is the smallest common multiple of 2 and u(3)?
10
Suppose -2*k + 1 = 5*f - 13, -4*k = 3*f. Suppose 3*z - f = -1. Find the common denominator of (z - 1/2)*-85 and 25/6.
6
Let f be 2/8 + 17/(-4). L