the smallest common multiple of 12 and q.
60
Find the common denominator of -55/8 and 28/(-24)*284/28.
24
Calculate the smallest common multiple of ((210/(-18))/(-5))/((-1)/(-18)) and 70.
210
Suppose -5*j + 3*p = -20, -2*j + 4*p = 6 - 0. Let m = j - 8. Calculate the common denominator of -1/11 and (-33 + m)*5/(-16).
88
Let y be (-2)/9 - (-357)/27. Suppose -y*v = -12*v - 18. Calculate the least common multiple of v and 10.
90
Suppose 0 = l - 3*r - 90, 3*l + 472 = 8*l - 4*r. What is the lowest common multiple of 60 and l?
480
Let p(m) = m**2 + 14*m + 18. Suppose 2*f = -3*h + 5*f + 18, 2*f = 0. Calculate the smallest common multiple of p(-13) and h.
30
Suppose 0 = -k - 4*b + 4, -4*b + 39 = 5*k - 13. Suppose 4*v - k = 7*v. Let q = -1 - v. What is the smallest common multiple of q and 3?
3
Suppose -2*n - 43 - 37 = 0. Let v be (-59 - -62) + (-184)/(-5). Let a = n + v. What is the common denominator of 46/9 and a?
45
Let l = 445737/22 - 20265. Suppose 0 = -2*j - j + 255. What is the common denominator of l and (0 + j)/(-2 - 26)?
308
Let t = 16 + -16. Suppose 6*l - 15 - 9 = t. What is the common denominator of -7/4 and (l - (-189)/(-48))*-74?
8
Let l = -4353/2 - -234935/108. Find the common denominator of -29/82 and l.
4428
Let v = -568234 - -119329387/210. Let r be 31/(-21) + (-1 - -2). Let c = v + r. Find the common denominator of c and -15/11.
110
Let i = 1336 - 292. Let g = i - 3202/3. Find the common denominator of -29/27 and g.
27
Let z(t) be the third derivative of -t**6/120 - 11*t**5/60 - 11*t**4/24 - 25*t**2. Calculate the smallest common multiple of z(-10) and 30.
30
Let y(p) = -p**3 - 3*p**2 - 2*p - 3. Let q be y(-4). Calculate the lowest common multiple of (30/q)/(1/7) and 9.
90
Suppose -2 - 2 = -a. Suppose 0*f + 32 = a*f. What is the common denominator of ((-248)/(-32))/(6/f) and 33?
3
Suppose 4*m + u = -97, 2*m - 7*m + 3*u = 134. Let q = m + 37. What is the smallest common multiple of 14 and (-74)/(-8) - q/(-16)?
70
Let j(k) = k**2 + 2*k + 33. Calculate the smallest common multiple of 28 and j(7).
672
Suppose -2*i + 18*i = 960. What is the lowest common multiple of i and 12?
60
Let p(l) = -3*l**3 + 49*l**2 - 15*l + 38. What is the smallest common multiple of 99 and p(16)?
594
Let i be (3 - 3) + (-28)/2. What is the common denominator of i/36*4 + 2 and -31/37?
333
Let s be 1446/36 - 2/12. Suppose -s*p - 42 = -42*p. What is the smallest common multiple of 9 and p?
63
Let x = 65 - 47. Calculate the lowest common multiple of 108 and x.
108
Suppose 5*k - 4 - 106 = 0. Suppose 300*w - 9693 = -3093. What is the smallest common multiple of k and w?
22
Calculate the common denominator of 73/420 and (-99)/88*13/(-6).
1680
Let a(c) = -c**2 + 4*c + 2. Let n be a(3). Suppose 15 + 5 = 5*p + n*k, -3*k = -2*p - 2. Suppose 0 = p*h - 14 + 4. What is the lowest common multiple of 3 and h?
15
Suppose 4*l = 421 + 1655. Let j = l - 1017/2. Let w = 17227/4 - 4282. Find the common denominator of j and w.
4
Let z = -1775 - -1922. What is the least common multiple of z and 30?
1470
Let g = 695 + -632. What is the least common multiple of g and 3?
63
Let r(d) be the first derivative of d**2 + 2*d + 1. What is the common denominator of r(6) and 108/180*124/(-8)?
10
Let o be (6/8)/(12/5524). Let n = 4337/12 - o. What is the common denominator of n and -63/8?
24
Suppose -8*q + 18 = -6*q. What is the least common multiple of -6*(-6)/q*(2 + 1) and 1?
12
Find the common denominator of (-1*548/72)/4 and 121/24.
72
Let s(d) = 10*d + 2. What is the least common multiple of 9 and s(7)?
72
Let q(v) = -v - 12. Let c be q(-7). Let g(m) = -m**3 - 3*m**2 + 6*m - 6. What is the least common multiple of g(c) and ((-2)/2)/((-2)/36)?
126
Let c(l) = -22*l + 6. Let b be (5/10)/(-3 + (-5)/(-2)). Calculate the lowest common multiple of c(b) and 8.
56
Suppose -3*q + 4*q = 0. Suppose 3*w + q*w = 6. Suppose 0 = -4*d - 5*p + 38 + 26, -w*d + 3*p + 32 = 0. What is the lowest common multiple of d and 12?
48
Let n = -14227/342 + 688/19. Find the common denominator of (-72)/66 + 3/(-2) and n.
198
Let d = -1252 + 25113/20. Let a be (367/(-21))/(-1) - 9/27. Let x = 1259/42 - a. Find the common denominator of x and d.
60
Suppose 0 = 2*q + k + 8862, -5*q = -3*k - 1430 + 23563. Let a = -106343/24 - q. Calculate the common denominator of a and -39/14.
168
Suppose r = 5*v - 51 - 27, 6 = 3*r. Calculate the lowest common multiple of v and 74.
592
Let d be (6 - 5)*(-372)/(-2). Let u = d - 111. What is the common denominator of 22 and (-1)/(-3) + (-160)/u?
5
Calculate the smallest common multiple of 64 and -2 + 1 + 1 + -2 + 6.
64
Let f = 71 + -77. Calculate the common denominator of -4 - ((-7)/12)/(f/28) and -137/6.
18
What is the common denominator of 5/12 and ((-9)/16)/((-1089)/4884)?
132
Let o = -141/2 - -2249/32. Calculate the common denominator of 101/28 and o.
224
Suppose 16*f = 17*f + 4*i - 16, -i + 25 = f. Calculate the lowest common multiple of f and 94.
1316
Suppose -5*q - 120 = -3*j, 5*q + 146 = 4*j - 14. What is the lowest common multiple of 30 and j?
120
Let q(r) = r**2 + 10*r - 15. Let p(c) = c**2 + 18*c + 5. Let y be p(-17). Calculate the smallest common multiple of q(y) and 1.
9
Let l be 20010/(-2688) + -1*1. Let i be 4/18 - 685/2880. Let c = l - i. Calculate the common denominator of c and 119/6.
42
Suppose -3*j + 7*j - 4 = 0. Let s be j + (1 - (3 + -3)). Suppose -3*l + s*l + 10 = 0. What is the smallest common multiple of 4 and l?
20
Suppose 44 = 5*v - 4*w, -2*v + 5*w - 3 = -24. Suppose 2*b - 110 = -3*b. What is the smallest common multiple of v and b?
88
Let u = 80 + 46. What is the smallest common multiple of 98 and u?
882
Let d be (-1 - (-3493007)/(-160)) + 44/(-55). Let b = d - -21831. What is the common denominator of b and 33/8?
32
Let q(k) = k**2 + 4*k - 16. Let a be q(-7). Suppose s + 0*g + g = -8, a*s = 3*g - 8. What is the common denominator of s/(-18) - (-17)/18 and -17/5?
30
Calculate the common denominator of -58/85 and (-6)/(-45) - (64805/(-2550))/13.
170
Let n be (-350)/(-21) - 3/(-2). Let x = -77/12 + n. What is the common denominator of 9/22 and x?
44
Let v(w) = -w**3 + w**2 - 2*w - 13. Let a be v(0). Suppose 0 = -5*q - 4*u + 10, 5*q - 3*u = -0*u + 45. What is the common denominator of a + 1 - q/9 and -11/7?
21
Suppose h + 4*d - 13 - 28 = 0, 0 = 2*d + 2. What is the lowest common multiple of 25 and h?
225
Let b(p) = -3*p**2 - 23*p - 22. Calculate the smallest common multiple of 24/(5/(225/10)) and b(-4).
1188
Let m(v) = 3*v - 19. Let p be m(8). Suppose -4*h = -3*q - 18, q = -p*h + 5*q + 22. Calculate the smallest common multiple of h and 14.
42
Let o = -4400257/157 - -28027. Calculate the common denominator of 103/10 and o.
1570
Let y(m) = -m**2 + 11*m + 18. Let i be y(12). Let u be -1 - (1 + -1 + i). What is the least common multiple of 4 and 5 - (3 + u) - -2?
44
Let r = 31863/7 - 4544. What is the common denominator of (5/((-50)/515))/6 and r?
84
Suppose -4*v + 5*w = -17, -4*v = -v + 4*w - 5. Let m(d) = 0 + 6*d - 1 - v*d. Calculate the smallest common multiple of 20 and m(3).
40
Suppose -3*i - 15 = 0, -2*x - i - 2*i - 45 = 0. What is the common denominator of 4/(-6) + (-28)/x and 117/10?
10
Calculate the smallest common multiple of 366 and 4 - -10 - (11 + 0).
366
Calculate the least common multiple of 135 and 1088/12 + -6 + 128/24.
270
Let a(x) = -21*x**2 - 6*x + 6. Let d be a(-8). Let k = d + 25781/20. Calculate the common denominator of 29/22 and k.
220
Let r = 19128/5 + -3813. Let q = -316/45 + 34/5. Find the common denominator of r and q.
45
Suppose 2*v + 135 = -5*j + 172, -5*j = 4*v - 69. Calculate the lowest common multiple of 316 and v.
1264
Let p = 193 + -199. Let v(f) = -5*f - 15 + f - 5*f - f**2. What is the smallest common multiple of 8 and v(p)?
24
Let q = -88 - -47. Let m = q - -52. What is the lowest common multiple of m and 6?
66
What is the smallest common multiple of 70 and 484/33 - (-2)/(-3)?
70
Let g(n) = -n**3 + 23*n**2 + 136. Calculate the least common multiple of 14 and g(21).
7126
Let t = -411/95 + -37/38. Find the common denominator of -7/82 and t.
410
Let a = -841/4 + 4107/20. Let r be ((-6)/3)/(-1) + 13. Suppose 6*q + h - r = 2*q, -3*q + h = -13. Calculate the common denominator of a and q.
10
Suppose -4 + 0 = 2*a. Let v = -17623/14 - -8853