st common multiple of g(-6) and 34.
102
Suppose 125 = 5*w + 5*g, -13*g - 40 = -w - 11*g. What is the lowest common multiple of w and 174?
870
Suppose u - 80 = -4*u. Let i = -25467/11 - -2320. Calculate the common denominator of (-1)/u*(56 + -2) and i.
88
Suppose 0 = 12*u - 130 - 110. What is the smallest common multiple of 30 and u?
60
Let y = -674761/30 - -22497. Calculate the common denominator of -83/30 and y.
30
Let g be (184142064/(-2630))/4*-1. Let a = g + -17504. Let i = a + -736/263. What is the common denominator of i and 38/11?
55
Let l = 226 + -182. Calculate the lowest common multiple of l and 36.
396
Let n = -63/52 - -4037/156. Let x = -785/8 - -405/4. What is the common denominator of n and x?
24
Let t = -181/12 + 15. What is the common denominator of 173/168 and t?
168
Let a = -1/4033 + 125111/354904. Find the common denominator of 59/3 and a.
264
Suppose -22 = 2*f + 6. Find the common denominator of (-235)/6*f/(-280) and -131/18.
72
Let m = -93 + 97. Suppose m*n - 9 - 17 = -2*x, 0 = 4*n - x - 23. Calculate the lowest common multiple of n and 20.
60
Suppose -4*m = 6*o - 3*o + 46, 2*m + 26 = -3*o. Let y(s) = -s**3 + 5*s**2 - 2*s. Let d be y(-10). Calculate the common denominator of -49/4 and (-2008)/d - 4/m.
76
Let h be (54/180)/((-6)/15815). Let i = -768 - h. Find the common denominator of 91/12 and i.
12
What is the lowest common multiple of 8 and (42 + -45)/((-169)/166 + 1)?
664
Let c(o) = -o - 5. Let i be c(-15). Suppose -12*b + 2 = -i*b. Calculate the lowest common multiple of 2 and b.
2
Suppose -3 = 5*d - 18. Suppose -q = -2*a + 22, -2*a - 16 = -d*a + 3*q. Calculate the least common multiple of 3 + 5 + 6/3 and a.
10
Find the common denominator of -41/152 and 9339/4752 - (-2)/9.
304
Let v = -9121 - -474209/52. Let t = v - 262/13. Calculate the common denominator of t and -37/22.
44
Find the common denominator of -29/8 and ((-3)/(-195))/(1696/16165).
416
Suppose 13*m + 1686 = 5*f + 15*m, 0 = -5*f - m + 1683. What is the lowest common multiple of 336 and f?
336
Suppose 0 = -5*v + 3*z - 72, -z - 24 = v - 4*z. What is the common denominator of 11/16 and (11 - 7) + 89/v?
48
Let r = -398 - -404. What is the least common multiple of r and 43?
258
Find the common denominator of -71/36 and ((-1737)/126 - 10)/((-198)/21).
396
Let l = 5 - 2. Suppose 0 = l*k - 3 - 15. What is the smallest common multiple of k and (-1 - (-1 - 2))*(-9)/(-6)?
6
Let q(g) = 3*g - 12. Suppose -30 - 18 = -4*a. What is the smallest common multiple of 24 and q(a)?
24
Suppose 27*u + 2*u - 2233 = 0. What is the smallest common multiple of u and 35?
385
Suppose -3*u - 3*g = 4530, -3*u - 5375 = 5*g - 845. Let n(p) = -2*p**2 + 3*p - 3. Let r be n(3). Find the common denominator of u/72 + r/(-54) and -99/16.
16
Let d(l) = l**3 - 32*l**2 - 69*l + 58. Let i(w) = -w - 1. Let v(q) = q + 2. Let j(k) = -4*i(k) - 2*v(k). What is the least common multiple of j(4) and d(34)?
24
Suppose 0 = -4*j + 78 + 146. Let u = -54 + j. Calculate the smallest common multiple of u and 18.
18
Let i = 42388 + -5934269/140. Find the common denominator of i and -47/112.
560
Let l = 12/545 + 53907/2180. Let q = 24 + -23. Calculate the common denominator of l and (-245)/15*q*(-6)/(-8).
4
Let z(s) = s**2 - 16*s + 20. Let p be z(15). Let u = -11 - -21. What is the lowest common multiple of u and 2 + -4 - -27 - p?
20
Let f(d) = d**3 - 4*d**2 + 2*d. Let y be f(3). Let k(l) = -2*l**2 - 2*l - 4. Let j be k(y). Calculate the common denominator of 31/8 and 8/j + 134/20.
40
Let u(t) = -2*t**3 - 4*t**2 + t - 1. Calculate the least common multiple of u(-3) and 18.
126
Let h(k) = 5*k - 18. Let u be h(8). Calculate the common denominator of u*2/(-64) + 1/4 and 127/12.
48
Let a be 466936/(-10) - 2/5. Let v = -2054449/44 - a. Calculate the common denominator of v and -65/22.
44
Let d(n) = -n + 1. Let o = -19 + 19. Let j be d(o). Calculate the common denominator of 279/52 + (j - 5) and -75/8.
104
Let p(g) be the second derivative of 0 - 1/6*g**3 + 4*g**2 + 8*g - 1/12*g**4. Calculate the least common multiple of 3 and p(0).
24
Suppose -4*o - 56 = -5*l - o, -3*o - 26 = -2*l. Calculate the smallest common multiple of l and 138.
690
Suppose 2124 = -0*r - 6*r. Let o = -237 - r. Calculate the common denominator of -13/6 and (o/28)/(48/28).
48
Let s = -11 + -29. Find the common denominator of 363/(-60) + (-4)/16 and s.
10
Suppose -20 = -2*m + 5*n, -3*n - 21 = 2*m - 57. What is the common denominator of -49 and (-3)/m*(-10)/(-18)?
9
Calculate the common denominator of ((-575)/(-20))/5 + 9/(-6) and -65/32.
32
Suppose -3*q + 20 = q. Let g = q - -13. Let n = g + -10. Calculate the lowest common multiple of 20 and n.
40
Suppose 5*s + q = 9*s - 50, -5*s - 4*q + 52 = 0. Calculate the lowest common multiple of 27 and s.
108
Let k = 185 + -167. Calculate the lowest common multiple of k and 27.
54
Suppose -4512 - 10880 = 2*h. Let d = 4/467053 - 64679834777/8406954. Let w = d - h. Calculate the common denominator of w and -71/42.
126
Let j = -38/273 - -11/2912. What is the common denominator of j and 3/64?
192
Suppose -n = d - 110, -2*d + 46 = -4*n - 186. What is the smallest common multiple of 7 and d?
112
Let h = -8489 + 135921/16. Let z = 5662277305/198 - 28597441. Let n = z - -770/9. Find the common denominator of h and n.
176
Let d = 15817/2 - 8117. Let z = -202 - d. Let t = 15817/10 + -1586. Find the common denominator of z and t.
10
Find the common denominator of 65/36 and 323/(-78) + (-164)/(-123).
468
Let d = -397 + -101. Let t = 5618 + d. Let n = t - 51247/10. Find the common denominator of 93/8 and n.
40
Let w = 96 + -81. What is the least common multiple of -132*(-10)/w + 0 + 0 and 16?
176
Let p = -64 + 94. What is the least common multiple of p and 33?
330
Let n = -4131 + 66003/16. Let h be (2 + -4)/(2/(-14)). What is the common denominator of n and 465/(-30)*6/h?
112
Let o be -263 - -4*(-2)/4. What is the common denominator of -38 and 0 - o/(-30) - -3?
6
Let d = -5296 + 84817/16. Let b = 45 - 12. What is the common denominator of b and d?
16
Suppose -2*k - 7*k = 1512. Let g be (-197)/k + 8/(-24). Let f = g - -309/28. What is the common denominator of -25/4 and f?
8
Let u(m) = -2*m**2 - 8*m - 3. Let i(p) = -p**2 + p - 1. Let v be 6/6*(-1 + 2). Let z(y) = v*u(y) - i(y). Calculate the least common multiple of 16 and z(-8).
48
Calculate the common denominator of 6/80*(-3116)/(-570) and 83/20.
100
Let s be ((-2732)/3)/((-4)/12). Let g = 49267/18 - s. What is the common denominator of -111/22 and g?
198
Let n(i) = 6*i + 1. Let l be n(4). Suppose 4*p = -p + l. Suppose 0 = -2*z - 10, y + 0*y - 29 = p*z. Calculate the smallest common multiple of y and 22.
44
Let k = -31 + 35. Suppose -4*m = -0*q - q + 37, -3*q = k*m - 111. Calculate the smallest common multiple of q and 2.
74
Find the common denominator of (632/132 + (-20)/4)*1 and 49/242.
726
Suppose 2*i - 18 - 92 = -x, 0 = -4*x + 4*i + 476. Let b be 562/(-230)*31/x. Let t = b + 2/667. What is the common denominator of -65/4 and t?
20
Find the common denominator of (288/336)/(-6*(-4)/462) and 29/12.
12
Suppose 3*m + 7 = 4*m. Let d be (-2)/m - (-292)/(-7). What is the lowest common multiple of d/(-4)*8/12 and 7?
7
Let r be (-1 + 1)/((-7)/7). Suppose 5*v + 17 = -j, v - 2*j + r*j = -10. Let p(h) = 2*h**2 + 6*h. Calculate the smallest common multiple of 10 and p(v).
40
Suppose 0*q = -4*q, -3*f + 30 = 3*q. Let p(h) = 5*h - 10. Let g be p(f). Suppose 0 = -d + 5*d - g. Calculate the smallest common multiple of d and 2.
10
Let b be (-19062)/123396 + (-4)/(-26). Let i = -145354668/791 + 183766. Let w = i + b. Calculate the common denominator of -25/12 and w.
84
Let o = -203853/49 - -4161. What is the common denominator of o and -19/56?
392
Let c = 1087 + -414. Let v = -2633/4 + c. Find the common denominator of v and 29/36.
36
Suppose -2*i + 3*c = -57, -7*i + 4*i + 84 = -4*c. Calculate the lowest common multiple of 4 and i.
24
Calculate the common denominator of (-3 + 1917/90)*20/(-384) and 9/208.
832
Calculate the common denominator of -149/114 and -10 + 1030/2850*27.
570
Let m = -3/1129 + -45133/10161. Calculate the common denominator of m and 143/54.
54
Let o = 3991/11 - 361. Let n = 49595/4 - 4909823/396. Let c = n - o. Calculate the common denominator of -109/6 and c.
18
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