 the smallest common multiple of d and 12.
84
Suppose -14*a + 105 = -9*a. Suppose -8*j - 324 = -35*j. What is the lowest common multiple of a and j?
84
Let y(n) = n**2 - 6*n - 9. Let m(a) = 2*a + 3. Suppose 0 = -4*k + 8 + 4. Let f be m(k). Calculate the lowest common multiple of y(f) and 14.
126
Let b be (-2)/5*34/4. Let v = b + 26/5. Find the common denominator of 65/2 and v.
10
Let o be (-2344)/5 - (-2)/(-10). Let f = o + 1520. Let g = f - 11543/11. What is the common denominator of 83/8 and g?
88
Let b = -1643/20 + 408/5. Calculate the common denominator of (3*62/63)/((-224)/42) and b.
280
Suppose p = -0*p + 7. Suppose 3*k + 5*f + 3 - 29 = 0, 2*f - 8 = 0. Suppose k*s = 12 + 6. What is the smallest common multiple of p and s?
63
Let s be -2 + 11 + 9/(-3). Suppose 5*u = 2*j + 35, -4*j = 14 + s. Suppose u*h + 4*g = h + 24, -5*h = -4*g - 12. What is the lowest common multiple of 15 and h?
60
Let q be (-4 + (-9)/(9/(-4)))/(-1). Suppose q = -5*u + 53 + 7. What is the smallest common multiple of u and 40?
120
Let d be (0 - (-16)/20)*(2 - -3). Suppose 0 = 3*w - 5*j + 3 + d, j = 5. Calculate the lowest common multiple of w and 5.
30
Suppose -3*j = -3*q - j + 1, 3*q + 5*j = 29. Let g = 7 - q. Suppose g = -p - 4*z, 2*p - z = -11 + 30. Calculate the least common multiple of p and 4.
8
Let h = 20062/15 + -1340. What is the common denominator of 119/96 and h?
480
Let y(x) = -x**3 - 5*x**2 - x + 7. Let j be y(-5). Let n = j - 2. Calculate the least common multiple of n and 6.
30
Let x(g) = -g**3 + 14*g**2 - 13*g + 3. Let n = 7 + 14. Suppose 0 = 3*q - n - 18. What is the least common multiple of x(q) and 4?
12
Let a(i) = -i**3 - i**2 - i. Let v be a(2). Let t(y) = -2*y + 11. Let k be t(3). Calculate the common denominator of -19/12 and k/v*129/15.
84
Let x be 163/(-114)*(-2)/4*3. Let p = -306/19 - x. Find the common denominator of 119/10 and p.
20
Let c = -29 + 31. Suppose 2*s - 6*g + c*g = 22, -2*s + 10 = -g. What is the lowest common multiple of 21 and s?
21
Let y(n) = n**3 - 5*n**2 + 4*n + 8. Calculate the lowest common multiple of y(4) and -9*(3 + (-42)/9).
120
Suppose -d = -5*y - 103, 3*d = -36*y + 41*y + 279. Calculate the lowest common multiple of 8 and d.
88
Let j(r) = -22*r + 4. Let i be j(1). What is the lowest common multiple of 10 and ((-3)/i*8)/((-6)/(-27))?
30
Suppose -p + u = -2*u + 4, -u + 8 = p. Suppose 57 = v - t - 0*t, 5*v = -p*t + 265. Suppose -h + v = 4*h. Calculate the lowest common multiple of h and 8.
88
Suppose 2*u + 14 = 2*b, 0*b - b = 2*u - 4. Let j be 30/4*8/b. Find the common denominator of (-13)/4 + j/20 and -85/2.
4
Let d = -61/13 + 3527/663. What is the common denominator of -52/51 and d?
51
Let h be 6/(-2)*1/(-3). Suppose 11 = -3*t + 35. Calculate the smallest common multiple of (1 + h)/(-1 - -3) and t.
8
Let p = -86250 + 262250/3. Let f = p + -1177. Calculate the common denominator of -83/18 and f.
18
Calculate the common denominator of 23/18 and 8 - (-128)/60 - 1/(-6).
90
Suppose -r - 3*b + 216 = 0, -8*r + 7*r = 5*b - 222. Calculate the smallest common multiple of r and 92.
828
Suppose -2*f + 11 + 2 = t, -4*f - 5*t + 23 = 0. Let s be 334/28 - (9 - f). Let x = s + -115/7. Find the common denominator of x and -41/6.
6
Let c(i) = -i - 2. Let a be c(8). Let y = 22 + a. Let w = -16 - -34. What is the lowest common multiple of y and w?
36
Find the common denominator of ((-357)/50)/(48/40) + 6 and 97/262.
2620
Let j(t) = -3*t**2 - 9*t + 12. Let g be j(-5). Calculate the common denominator of 23/(-14) - (g/14)/(-3) and (13*1)/((-6)/5).
42
Calculate the least common multiple of 156 and 90/(-63) + (-2056)/(-28).
936
Let w(g) = g**2 + 20*g + 20. Let l be w(-19). Let i = -27/557 - 53759/5570. Calculate the common denominator of 60/(-64)*2 - l and i.
40
Let r = 411363805/2494464 + 5/356352. Let s = -1178/7 + r. Find the common denominator of s and 13.
8
Let w = 467/40 - -7/10. Let p = -4/1001 + 61141/20020. Calculate the common denominator of w and p.
40
Let r = 505/59 - 20183/3068. What is the common denominator of 25/286 and r?
572
Let w = 983 - 951. Calculate the lowest common multiple of 24 and w.
96
Let v be 0 - (5/5)/(8/(-1889)). Let l = -465/2 + v. Calculate the common denominator of l and 10/7.
56
Let x(c) = 11*c**2 + 8*c - 7. Let u be x(6). Calculate the common denominator of 15/(-2)*u/171 and -35/2.
6
Let l = 3 + -11. Let a = l + 6. What is the common denominator of -8/3 and (-1)/a - 920/(-48)?
3
Suppose 2*p - 5*r - 497 - 227 = 0, 0 = r - 2. What is the smallest common multiple of p and 10?
3670
Let p(m) = -m**2 - 14*m + 11. Calculate the lowest common multiple of 63 and p(-9).
504
Let b = 2/1611 + 30599/8055. Find the common denominator of b and 2/(-11) - 578/(-154).
35
Let j be (-4)/(-8) + ((-50409)/(-24))/3. Let z = j - 704. Find the common denominator of z and 20.
8
Let w be 14329/(-28) - (1 + -2). Let q = w + 1009/2. What is the common denominator of 9/4 and q?
4
Let i = 197 + -103. Find the common denominator of 80/39 and (-15 - -13)*i/12.
39
Let x(g) be the third derivative of g**6/120 + 7*g**5/60 + g**4/4 + 4*g**3/3 - 6*g**2. Calculate the least common multiple of x(-6) and 11.
88
Suppose 3*z = 21 - 9. Suppose 2*q - 1 = 11. Suppose -q = -b - z. Calculate the smallest common multiple of 8 and b.
8
Let y = 155208 - 40664417/262. What is the common denominator of 37/6 and y?
786
Let k(y) = 1 + 7*y + y**3 + 6*y**2 + 0*y**3 - 17*y. What is the smallest common multiple of 10 and k(-7)?
110
Let y be -1 + 1 - 233554/(-36). Let t = y - 6481. What is the common denominator of t and ((-321)/18)/((-1)/6*(-36 + 14))?
198
Suppose 5*v - 110 = -0*v. Let n be 1/2 - (-1)/2. What is the smallest common multiple of 20 - (-2)/(-2 + n) and v?
198
Suppose 41*p - 72 = -4664. Suppose 0 = 4*f - 1910 + 7230. What is the common denominator of -3 + -1 + f/p and 71/30?
120
Let q = -89265 - -58648. Let t = -337011/11 - q. Let j = -1433/99 - t. Find the common denominator of -89/6 and j.
18
Let k = 128560919/540 - 238076. What is the common denominator of k and -139/180?
540
Let m(z) = -z**3 + z**2 + 5*z - 5. Calculate the lowest common multiple of m(-3) and 30.
240
Let f = 540534016/249 - 2170816. Let g = -1605485/1992 + f. Let h = -812 - g. Find the common denominator of 75/4 and h.
8
Let d(t) = 2*t**2 - 3*t. Let z be (-6)/(-4)*(-32)/(-24). Calculate the least common multiple of 10 and d(z).
10
Let q be ((-261288)/28581 - -3)/(-4). Let g = q + 2/9527. Find the common denominator of g and 33/16.
112
Calculate the common denominator of -2/7 and (-1 - 1 - 0) + 912/144.
21
Let s(f) = -f - 1. Let v(z) = 6*z + 16. Let y(o) = 5*s(o) + v(o). What is the least common multiple of 10 and y(-9)?
10
Let x = 75 + -79. Let v(l) = 6*l + 1. Calculate the least common multiple of v(1) and (-32)/(-6)*(44/8 + x).
56
Let k be ((-51)/(-4))/(4/(-1028)). Let p = -3258 - k. Let j = 431 + -1677/4. Find the common denominator of j and p.
4
Let g be -2 - 1 - (3 + -2). What is the common denominator of ((-297)/g)/(-3) + -6 + 7 and -19/10?
20
Let x = 355 - 346. Calculate the least common multiple of x and (-8)/3*(-3)/2.
36
Let c = 1177/540 + 2/135. What is the common denominator of (-131)/(-12) - (1 + 1) and c?
36
Let i = -205 + 901/4. Find the common denominator of 37/(0 + 0 - -2) + 1 and i.
4
Let r(a) = -a**3 + a**2 + a + 5. Let p be r(0). Suppose 0*b + 5*d = p*b - 30, -3*b + 4*d + 17 = 0. Calculate the smallest common multiple of b and 9.
63
Suppose a = 3*i - 201, 4*a - 4*i = -607 - 221. Let n = 4199/20 + a. What is the common denominator of n and -63/4?
20
Let f(m) = -12*m + 13. Let z(c) = 8*c - 9. Let i(v) = 5*f(v) + 8*z(v). Let s be i(-6). Let g = -13 - s. What is the smallest common multiple of g and 20?
180
Suppose -d = 2*j - 4, 0 = -5*j - 2*d - 6 + 16. Find the common denominator of (-507)/180 + j/5 and (109/(-6))/((-42)/18).
84
Let p = 10 - 3. Let x(v) be the second derivative of v**4/12 + 7*v**3/2 + 21*v**2/2 - 11*v. What is the lowest common multiple of x(-20) and p?
7
Let u = -1593139/30 - -53110. Find the common denominator of u and -109/30.
30
Let s = -9 + 29. Suppose 74*j = 75*j - s. What is the lowest common multiple of 2 and j?
20
What is the common denominator of 38/5 and 2360/(-1200) - 2/(-10)?
30
Suppose -c + 49 = -h, -3*c = -0*c - 2*h - 150. Let i =