 the lowest common multiple of 18 and r/(-35) - 552/(-28).
180
Calculate the common denominator of 143/30 and 23/24 + ((-44)/(-24) - 2).
120
Suppose -3*u = u + 2*p + 102, -u - 13 = 3*p. Let s = u + 8. Calculate the common denominator of -61/2 and 85/(-40)*s/(-3).
6
Let r = 1982 + -1735. What is the lowest common multiple of 95 and r?
1235
Let q(f) = -7*f + 24. What is the smallest common multiple of q(-1) and 9?
279
Let v = -15390 + 34364. Let t = v + -417533/22. Find the common denominator of 71/16 and t.
176
Suppose 3*y = -9, -x + 13 + 4 = -5*y. Suppose 0 = x*v - 32 - 40. Find the common denominator of -63/20 and 2/(-21)*(-2619)/v.
140
Suppose 0 = -b + 1, 5*b - 13 = 2*h. Suppose 168 = 5*f + 28. What is the least common multiple of f and (-12)/15*(h + 27/(-2))?
28
Let w = 76 + -74. Suppose -g = -3*b - 13, 3*b + 51 = w*g + 2*b. What is the lowest common multiple of g and 16?
112
Suppose 731 = p + 7. Calculate the common denominator of 11/20 and (-6)/(-16) + p/160.
20
Suppose -2*a - 12 = -4*a. Let r(k) = -2*k - 7. What is the smallest common multiple of a and r(-5)?
6
Calculate the common denominator of 36/30 - (-3 - -9 - 2) and 71/60.
60
Suppose 4 - 9 = -w. Let q = w + -3. Suppose -5*l + 3*n + 7 = 0, l = q*l + 4*n - 6. Calculate the smallest common multiple of l and 5.
10
Let f = -8837/14 - -637. What is the common denominator of f and 59/35?
70
Let t = -1684 - -33693/20. What is the common denominator of t and 29/4?
20
Suppose -2*l - 3*o + o + 38 = 0, 3*l - 59 = -5*o. Suppose 163 = 5*q + l. Suppose 25 = 3*y - q. Calculate the smallest common multiple of y and 2.
18
Let p(r) = -9*r**2 - 6*r - 1. Let b be p(-3). Let y = b - -88. Calculate the smallest common multiple of 4 and y.
24
Let p(o) = o - 8. Let w be p(12). Suppose 5*x = -w*n + 20, -2*x + 8 = 2*n - 3*n. Calculate the lowest common multiple of 14 and x.
28
What is the common denominator of -79/2 and (15/(-10))/(9/219)?
2
Let k(q) be the first derivative of 2*q**3/3 + 15*q**2/2 - 7*q - 3. Let z be k(-8). What is the common denominator of z/(-7)*(-973)/(-18) and 71/20?
180
Calculate the common denominator of ((-91)/(-8))/(1909/92) and -69/4.
332
What is the least common multiple of 30 and (9/6)/((-12)/(-32))*2?
120
Suppose 3*z - 3*w - 111 = 0, -4*w - 31 = 30*z - 31*z. What is the least common multiple of z and 78?
78
Suppose 8*y - 6*y + l - 35 = 0, 4*l + 22 = y. Calculate the least common multiple of 59 and y.
1062
Suppose 2*w = 3*j + 53 - 298, 0 = 2*j + w - 161. What is the smallest common multiple of j and 396?
3564
What is the common denominator of 1 + (-3 - (-447)/108) and ((-3)/(-70))/((-72)/(-3180))?
252
Calculate the smallest common multiple of 204 and (51/(-18) + 7/21)*-24.
1020
What is the smallest common multiple of -5 - 27/(6 - 9) and (18/(-3))/(6/(-4))?
4
Let i = -55 - -128. Suppose -4*m = -i - 7. What is the least common multiple of 4 and m?
20
Let l be ((-83)/9)/((-2)/12). Let v = -117/2 + l. What is the common denominator of v and 65/14?
42
Let t = -170781/22 + 7765. What is the common denominator of t and 41/34?
374
Suppose 0 = 3*y - 6 - 18. Suppose -2*w + y = -6*w. What is the least common multiple of w - (52/(-2))/2 and 10?
110
Suppose -2*j + 8*j - 54 = 0. Calculate the smallest common multiple of 2 and (-2 - 1)/((135/(-260))/j).
52
What is the common denominator of -69/142 and (-2524)/(-360) + -1 - (-6)/(-15)?
1278
Let c = -2 - -5. Suppose s - 4 = 0, -c*s + 68 - 23 = d. Calculate the least common multiple of d and 18.
198
Calculate the common denominator of 52/(-10)*(-3630)/2376 and 23/1016.
9144
Let l = -756 + 1589/2. Let p = -242618 + 46097951/190. Let n = p - -1/190. Calculate the common denominator of n and l.
10
Suppose 0 = -2*d + 5*z + 70, -2*d + 58 = z + 12. Let k = d - 67. What is the common denominator of -50/11 and k - 1 - 0/(-2)?
11
Let q be 2 - (3391/(-40) - 0). Let y = 705/8 - q. Find the common denominator of y and -17/10.
20
Suppose 3*r - 5*m = 30, -r - m = -3 + 1. Suppose 12 = 4*k - 2*i, 0 - 25 = -r*k + 5*i. Calculate the smallest common multiple of (4/(-10))/(1/(-10)) and k.
4
Let m(y) = -2*y**3 - 2*y**2 + y. Let g be m(-2). Let l(p) = 0*p**2 + 3*p**2 - 4*p**2 + g*p**2. Calculate the least common multiple of l(-2) and 26.
260
Let r be 5037 - (1 - 2) - 0. Let m = r + -30089/6. Calculate the common denominator of (1595/385)/((-2)/(-14)) and m.
6
Let m be (6/144)/((-2)/1828). Let f(h) = -6*h - 10. Let j be f(-8). Let i = j + m. Find the common denominator of i and -35/16.
48
Let s(n) = n**2 - n. Let f be s(0). Suppose 3*r - 4*r + 6 = f. Suppose 2 = -2*t - 3*a + 32, -5*t + 2*a = -56. What is the smallest common multiple of r and t?
12
Let c = -16 + 20. Suppose 4*z - 27 = 5*d - 5, 2*d = c*z - 4. What is the common denominator of (-903)/(-120) - d/10 and -37/3?
24
Let j = 2693 + -2389. Calculate the least common multiple of j and 190.
1520
Let k be (-1)/4 + (-25)/(-4). Let r = -37 - -1559. Find the common denominator of 1/20 and k/15 - r/180.
180
Suppose 9*b = 5*b + 120. Calculate the smallest common multiple of 39 and b.
390
Let t be -1 + 2 - 9/(-9). Let u = 0 + t. What is the smallest common multiple of u and 10?
10
Let x be (9 + 1)*(-3)/(-6). Suppose -x*i - 30 = -3*o, -2*o + 3*o - 4*i - 10 = 0. Suppose -100 = -0*a - 5*a. Calculate the lowest common multiple of a and o.
20
What is the least common multiple of 2 + 0 + -3 + 51 and (11*10)/(-6*(-24)/72)?
550
Let j(g) = -24*g. Let f be j(-1). Suppose 2*d = -2*d + f. Find the common denominator of (2/d)/(10/(-85)) and -13/18.
18
Suppose 0 = 3*v - 15, v + 1887 = 2*i - 4*i. Let h = i - -5587/6. Calculate the common denominator of h and -1 - -2 - 126/(-8).
12
Let g(w) = 13*w - 1. Let l(a) = 6*a - 1. Let x be (-1)/(-3*(-3)/(-27)). Let o(t) = x*g(t) - 7*l(t). What is the least common multiple of 18 and o(-2)?
90
Let p(d) = 6*d**2 + 2*d - 18. Let n be p(-5). Suppose 16*y - n = 310. What is the smallest common multiple of 21 and y?
189
Let v = 5 + -2. Suppose -4*o + 16 = -v*o. Let l(a) = -15*a - 824. Calculate the lowest common multiple of o and l(-56).
16
Let o be (-72)/(-54)*1*3. Suppose o*f - 31 = 57. Suppose 0*h - 40 = -2*h. What is the lowest common multiple of f and h?
220
Let p(f) = 5*f**2 - 6*f + 5. Let a be p(1). What is the common denominator of -75/2 and (-1404)/198*(-2)/a?
22
Let k = 8325 - 466181/56. What is the common denominator of k and -1/63?
504
Let z(a) = a - 5. Let m be z(7). Suppose c - 6 = -m. Suppose -3*g = -14 - 4. What is the least common multiple of g and c?
12
Calculate the smallest common multiple of 12 and (-84)/140 - 103/(-5).
60
Let d = -7 + 8. Let q(v) = 2*v**2. Let p be q(d). Calculate the common denominator of 133/6 and p - (3/(-10))/(-1).
30
Let t(x) = 4*x**2 - 2*x - 12. Suppose 2 = 8*o + 26. What is the lowest common multiple of t(o) and 6?
30
Let y be 12/5 + (-4)/10. Let p(r) = 1 + 5 + y*r - 2. Calculate the lowest common multiple of p(4) and 6.
12
Let v = -2 - -13. Let t be 3 - 1/2*26. Let m = -9 - t. Calculate the lowest common multiple of v and m.
11
Let r = 3/2435 - -1857899/4870. Let x = -352 + r. What is the common denominator of x and (4/12)/((-10)/3)?
10
Let l be (31 + -2 - (0 + 1))*1. Let g = l - 25. What is the smallest common multiple of g and 54?
54
Suppose -2*u + 2*h = -538, 5*u - 3*u - h = 539. Let y = u + -1119/4. What is the common denominator of 39/22 and y?
44
Let n = -25 - -18. Let l = n - -15. What is the smallest common multiple of l and 12?
24
Let n = -8757413/102 - -85856. Calculate the common denominator of n and 19/15.
510
Suppose r - 2*r = -3. Let g = -46 + 142. Find the common denominator of (-904)/g + (2 - r) and -11/6.
12
Suppose -3*z + 9 = 0, -5*v - 2*z = -z - 118. Calculate the least common multiple of 10 and v.
230
Let u = 9/35 - -213/70. What is the common denominator of -59/52 and u?
260
Suppose 4*w = 5*w - 5. Suppose -z + 87 = 4*q, 0*z = 2*q - w*z - 49. What is the lowest common multiple of 34 and q?
374
Let w = 175 + -182. Let c(i) = -7*i - 7. Let z be c(-5). Let x = z + w. Calculate the lowest common multiple of 11 and x.
231
Suppose -4*y + 321 = -9*w + 8*w, 0 = -3*y - 5*w + 235. What is the lowest common multiple of 12 and y?
240
Let k = 225 + -183. What is the lowest common multiple of k and 77?
462
Suppose 0*r - 6 = -3*r. Suppose -5*i = -1