
14
Suppose 5*h - s = -20, -2*h - 5*s - 2 - 6 = 0. Let c(a) = a**3 + 4*a**2 - 5*a - 4. Calculate the least common multiple of c(h) and 3/(-15) - (-31)/5.
48
Let j = -111 - -113. Calculate the smallest common multiple of 6 and -4 - (32/(-5) - j)*5.
114
Let c = 989 + -953. Calculate the least common multiple of c and 135.
540
Suppose 8*l - 6*l = 0. Suppose 0 = -2*v, 4*d + 3*v + l*v = 252. Find the common denominator of (-2)/(-7) + (-284)/d and 41/7.
63
Find the common denominator of (36/(-128))/(3/(-2)) and -51/20.
80
Suppose -2*l + 23 = -21. Let i = 10 + 0. What is the lowest common multiple of i and l?
110
Calculate the common denominator of 2/4*1769/6100 and 81/140.
1400
Let l = -497 - -569. Calculate the smallest common multiple of l and 72.
72
Let q = -32 + 37. Suppose 0 = 2*x + q*j - 0*j - 26, -3*x + 4*j = -39. Calculate the lowest common multiple of x and (1 - 0)/(2/6).
39
Calculate the common denominator of 133/60 and 82/600 + 55/(-44).
300
Let l be -3*(-2)/(-6)*3. What is the least common multiple of 128/6 + 1/l and 24?
168
Let f be 0 + 2 + 3912/(-627). Let y = 84/19 + f. Find the common denominator of 10/3 and y.
33
Let s = -670 + 6818. What is the lowest common multiple of 6 and s?
18444
Let i be 2 + (-180)/99 + (-4)/22. What is the common denominator of -31/44 and i - (-3 - -1) - 59/(-12)?
132
Let v(j) = j**2 + 5*j + 5. Let r be v(-5). Suppose -2*x + 22 = t - 2, r*t - 104 = -2*x. Calculate the smallest common multiple of 2 and t.
20
Suppose -540 = 5*j - 2040. Calculate the smallest common multiple of 112 and j.
8400
Suppose -4*d = 4, -5*v = 6*d - 2*d - 6. Suppose v*h - 44 + 4 = 0. Suppose h = -5*n, 5*n - 11 + 67 = 4*x. What is the least common multiple of 10 and x?
90
Let l(j) = -4*j + 106. What is the smallest common multiple of l(19) and 10?
30
Let m = -21 - -42. Suppose -5*g + 11 = 3*n, 0*n - 5*n + g + 37 = 0. Calculate the least common multiple of m and n.
21
Let t = -2/501 + -20531/2505. Let k = -621/5 - -237/2. Find the common denominator of k and t.
10
Let x(j) = -3*j**3 + 7*j**2 - 4*j. Let g be x(4). Calculate the common denominator of g/(-18) - 4/6 and -50.
3
Let r(x) = x**3 + 18*x**2 + 28*x + 26. Calculate the least common multiple of 18 and r(-16).
90
Suppose 84 = 3*b + b. What is the lowest common multiple of b and 23430/1988 - 6/(-28)?
84
What is the smallest common multiple of (-4 - (-88)/24)/((-1)/198) and 54?
594
Let n be (-5)/(-5) + (0 - -71). Let q = n + -50. Calculate the smallest common multiple of 8 and q.
88
Let j = 226/93 + -10645/2046. Find the common denominator of 2203/420 + (-2 - 280/(-147)) and j.
220
Let z = -13/253 - 1079/2277. Find the common denominator of z and 59/44.
396
Calculate the common denominator of -7 - -9 - (2 - 11/80) and -73/15.
240
Suppose p = -2*j + 68, -6*j + 260 = 4*p - j. What is the lowest common multiple of 27 and p?
540
Let t be ((-248)/1592)/((-16)/38). Let g = 1/199 + t. What is the common denominator of g and 30/11?
88
Suppose 8*o - 27 = -o. What is the least common multiple of o and 12?
12
Let o(i) = -i**2 + 13*i - 5. Let h be o(12). Let y(a) be the first derivative of a**2/2 - 5*a + 2. What is the least common multiple of 10 and y(h)?
10
Suppose 0 = 5*l + q - 135, -l + q + 28 = 1. Let f = l + -25. Calculate the smallest common multiple of 2 and f.
2
Let g = -197 + 987. Calculate the common denominator of (-44)/198 + g/(-36) and 79/22.
66
Suppose -2*o - 1899 + 1913 = 0. What is the smallest common multiple of o and 22?
154
Let c(a) = 3*a**2 + a. Let z be c(-1). Suppose -12*b + 476 = 5*b. Suppose b = -0*y + z*y. What is the smallest common multiple of 6 and y?
42
Let x be (6/(-4))/(15/30). Calculate the common denominator of (-1722)/36 - x/9 and -35/4.
4
Let r be 1 + 4/((-16)/4) + -724. Calculate the common denominator of (5/(-15))/((-80)/r) and -83/21.
420
Let z = -67 - -69. Suppose -3*u - 4*i = z*u - 19, 2*u - 5 = i. What is the smallest common multiple of u and 48?
48
Let h be ((-16)/20)/(17652/6). Let g = 713403/117680 - h. Find the common denominator of g and -113/24.
48
Let u = 47 + -69. Let r = 818 + -1545/2. Calculate the common denominator of 523/(-33) - 4/u and r.
6
What is the common denominator of 7/((-58366)/75471) + 9 and -11/20?
7580
Suppose -843*a = -851*a + 320. What is the least common multiple of 168 and a?
840
Calculate the common denominator of (-1 + 2)/((50 + -2)/3) and 37/88.
176
Let g = 33 + 0. Let a = g - 28. What is the lowest common multiple of a and 12?
60
Let a(h) = h**2 - 8*h - 419. Calculate the least common multiple of a(-17) and 6.
6
Suppose -31*l = -14*l - 918. Calculate the least common multiple of 6 and l.
54
Let m be (6/(-4))/((-1)/(310/15)). Let n = m + 21. Calculate the lowest common multiple of 14 and n.
364
Suppose -3*q + 3*m = 24, -5*q - m = m + 47. Let y = q - -20. Let u = y + 0. Calculate the least common multiple of u and 9.
99
Suppose -4*r = -5*d - 88633, -2*r - 2*d + 44315 = -5*d. Let m = -620649/28 + r. Calculate the common denominator of m and -13/10.
140
Let d(l) = 2*l**2 + 3*l - 20. What is the lowest common multiple of 10 and d(3)?
70
Suppose 8*y - 6*y - 54 = 0. Suppose -s + 4*s - y = 0. What is the least common multiple of 5 and s?
45
Let b(v) = v**3 + 44*v**2 + 4*v + 272. Calculate the least common multiple of 27 and b(-44).
864
Suppose -3*m + m - 126 = 0. Let d = m + 42. Find the common denominator of 7/34 and ((-260)/(-72))/(-5)*d.
102
Suppose p + 44 = -3*p. Calculate the common denominator of -139/30 and 3 - (1/4)/(p/(-198)).
30
Let f(v) be the second derivative of v**5/20 + v**4/2 + v**3/3 - 5*v**2/2 + v. What is the least common multiple of (14/21)/(164/(-42) + 4) and f(-5)?
70
Let a = 4279/21 - -76943/84. Let z = -1113 + a. Find the common denominator of z and -111/14.
28
Suppose 0 = 4*j - 5*d - 27, 4*d = 5*j - 0 - 36. Suppose -4*r + 4*l = -24, -4*r - 5*l + l - j = 0. Calculate the least common multiple of 11 and r.
22
Suppose -4*f + 4*w + 28 = -f, 5*w = 10. Suppose 1079 = 114*h + 322 - 269. What is the least common multiple of h and f?
36
Let f = 12984572 + -181901935/14. Let c = f + 8429. Find the common denominator of 32/5 and c.
70
Let p(x) = -x**3 + x**2. Let q be p(-1). Suppose -q*t = m - 12, -3*m + 16 = t - 0. Calculate the lowest common multiple of m and 2.
4
Suppose 3427*j - 3432*j = -3380. What is the smallest common multiple of j and 16?
2704
Let o = 1082/3 - 21529/60. Calculate the common denominator of o and 3 + 0 + 9/2.
20
Suppose 2*w - 2634*y = -2635*y + 17, 2*w - 2*y = 14. What is the smallest common multiple of w and 6/1 + -1 + 1?
24
Let q = 184 + -181. Calculate the least common multiple of 15 and q.
15
Suppose 0 = 3*n + 2*n + 10. Let v be (-14)/18 - n/(-9). Find the common denominator of ((-2)/16)/(v/27) and -3/16.
16
Let j = -28873 - -866267/30. What is the common denominator of j and -83/20?
60
Suppose -19 = -4*o - 2*i + 81, 4*i = o - 43. Let a = -492 + 495. What is the lowest common multiple of o and a?
27
Calculate the least common multiple of 6041/42 + 3/18 and 6.
144
Let l = 3 + -3. Suppose 0 = -4*r + r - 5*h + 31, l = 4*r - h - 3. Calculate the smallest common multiple of 4 and r.
4
Let r(l) = -7*l**3 - l**2 - 4*l - 2. Suppose 0 = -5*i + 5, p = -i - 0 + 3. Let j = 12 - p. Calculate the smallest common multiple of j and r(-1).
40
Let k = 29 - 15. Let h = 103 + -40. Suppose 3*z = s + h, -15 = -3*z - 2*s + 57. What is the smallest common multiple of k and z?
154
Suppose 5*h - 205 = 4*y, 57 = 4*h - 3*h - 4*y. Let r(j) = j**3 - 6*j**2 + 1. Calculate the lowest common multiple of r(6) and h.
37
Let t(l) = 23*l + 563. What is the least common multiple of 96 and t(-21)?
480
Let d = -16 + 16. Suppose 3*w = 4*k - 24, 25 = -4*w - d*k + 3*k. What is the common denominator of -103/20 and 1/w - (-657)/54?
60
Let v = -307299299 - -11061786197/36. Let w = v - -27456. Calculate the common denominator of w and -17/6.
36
Let b be (-1)/5 - (-4154)/23095. Let c = b - -11801/1490. What is the common denominator of c and -2/13?
130
Let t = 235/63984 + 3162822511/703824. Let c = -4495 + t. What is the common denominator of c and 225/44 - (-6)/(-24)?
22
Let m(j) = 16*j**2 + 3*j. Let o be m(-7). Let d = o + -483. Let g = 3121/11 - d. Find the common denominator of 45/4 and g.
44
Let r(y) = y**2 - 3*y - 29. Let n be