
Let u = -1625 + 13053/8. Let q = -79/7 - -1124/63. What is the common denominator of q and u?
72
Let v(f) = -f**3 - 7*f**2 - 10*f - 8. Let g be (-54)/243 - 508/(-18). Let l = g - 24. Calculate the least common multiple of v(-6) and l.
16
Suppose 3*j = -2*z + 5, -12*j + 17*j = -2*z - 5. Calculate the lowest common multiple of 10 and z.
10
Let n = -2679 - -32117/12. Calculate the common denominator of -59/1202 and n.
7212
Let l = -12 + 23. Let n(w) = -w**3 - 13*w**2 + 26*w - 59. What is the smallest common multiple of n(-15) and l?
11
Let k(r) = 6*r - 130. Let f be k(22). Suppose f*s + 9 = 11. What is the lowest common multiple of s and (12 - (-1)/(-1))*1?
11
Let t(g) = g**3 + 5*g**2 - 9*g + 6. Let l be t(-7). Calculate the common denominator of -37/2 and (-2 + l)*(-4)/32.
8
Let x be 1*(-4 - -3) - 3505. Let d = -98075/28 - x. Calculate the common denominator of -125/12 and d.
84
Let m(a) = -3*a + 79. Let c be m(21). Suppose 0 = -4*q - c, 2*w + 5 = 2*q + 17. What is the lowest common multiple of w and 0 - (-3)/(6/44)?
22
Suppose -5*b + 45 = 6*p - p, 4*p = 2*b + 30. Suppose 2 - p = -3*d. Suppose -2*s = 4*t + 8, 4 + 6 = -d*t. Calculate the smallest common multiple of s and 2.
6
Let n(k) = 5*k**3 - 16*k**2 + 4*k + 4. Let w be n(5). Let z = -3/3200 + -145573/28800. Calculate the common denominator of w/72 + 3/(-9) and z.
72
Let c = 12973/660 + -287/15. Calculate the common denominator of 7/242 and c.
484
Suppose 107*d = 103*d + 24. Suppose -9*l + d*l = -66. Calculate the least common multiple of 66 and l.
66
Let q be 0 - -2 - (-54415)/(-6). Let h = -9088 - q. What is the common denominator of -71/9 and h?
18
Let c(b) = 5*b + 4. Let v be c(-1). Find the common denominator of v/(1/(-51)*-11) and -52/3.
33
What is the smallest common multiple of (-1 - 2)/(120/(-320)) and 62?
248
Let j = 2251213/70 + -32161. What is the common denominator of 79/70 - (-135)/(-315) and j?
70
Let i = -46985531/37268 - 25/9317. Let y = -1273 - i. Let t = 331/63 + -29/7. Calculate the common denominator of t and y.
36
Suppose 2 = b - 19. Let z = b + -7. Suppose 88 = 5*f + q, f + q = 6 + 10. What is the least common multiple of z and f?
126
Let m = 946 + -7545/8. Find the common denominator of m and 52/9.
72
Let t be 3/(15/(-50) + 0). Let y = -6 - t. Let d(l) = l**3 + l**2 - 3*l + 2. Calculate the lowest common multiple of y and d(2).
8
Suppose 2*b + 2637 + 7851 = 0. Let j = b + 52359/10. Find the common denominator of -17/4 and j.
20
Calculate the common denominator of -26/135 and (282/945)/((-76)/(-10) + -10).
1890
Let t(h) = 3*h - 11. Let w be t(5). Suppose -1 = n - 7. What is the lowest common multiple of (w/3)/((-1)/(-9)) and n?
12
Let d(m) = m - 1 - 11 - 8*m. Calculate the lowest common multiple of 22 and d(-8).
44
Suppose -61 = s + 907. Let l = -7791/8 - s. Calculate the common denominator of -39/11 and l.
88
Let z = 826 - 825. Calculate the lowest common multiple of 26 and z.
26
Suppose 5*w - 3*p + 7 = 0, 5 = -3*p - 2*p. Let y = -2942/55 - -549/10. Find the common denominator of ((-37)/3*w)/((-40)/18) and y.
110
Let n = -1701/11 - -1658/11. Find the common denominator of 62/3 and n.
33
Suppose -n + 15 = 4*s, s - 3*s + 30 = -4*n. Let h(p) = 5*p**2 + 15*p. What is the smallest common multiple of h(n) and 20?
100
Let c(q) = -q**3 - 23*q**2 - 53*q - 228. Let o(b) = -3*b - 6. Calculate the least common multiple of c(-21) and o(-4).
6
Find the common denominator of -59/144 and (180/4)/9 + (-1369)/240.
720
Let n = 7/1089 + -50339/38115. Calculate the common denominator of 13/490 and n.
490
Find the common denominator of 61/74 and ((-1067)/6)/(-11) + 6/(-2).
222
Let d(w) = -w**3 + 19*w**2 - 35*w + 72. Calculate the smallest common multiple of d(16) and 36.
2520
Let r be (-56)/4*330/(-49). Let n = 1805/21 - r. What is the common denominator of (-10)/28*(-20)/(0 + 2) and n?
21
Let x be 0 + (-237)/(-3) + 3. Let u = x - 76. What is the lowest common multiple of u and 27?
54
Suppose 4*x - 38 = 3*b + 14, -4*b - 6 = x. Suppose -h + 7 = -7. Calculate the lowest common multiple of h and x.
70
Suppose 0 = h + 5 - 49. Find the common denominator of (0 - (-194)/15)*11/h and -47/18.
90
Let q = -497/52326 - -1/1377. Let b = q + 3827/912. Find the common denominator of b and 55/112.
112
Let o be (-117081)/(-180) + 2/(-1). Let h = o + -649. What is the common denominator of h and -29/22?
220
Suppose 73*t - 56 = 69*t. Suppose 0 = -0*v + 3*v - 12. Suppose v*k - 94 = -6. Calculate the lowest common multiple of k and t.
154
Let g be (-14878)/7 + (6 - 5). Let v = g - -2120. Let t = -159/11 + 215/11. Calculate the common denominator of v and t.
77
Let x(l) = l**2 + 24*l + 99. Calculate the least common multiple of 27 and x(-21).
108
Suppose -48 - 78 = -9*j. Calculate the smallest common multiple of j and 174.
1218
Let x(g) = -g**2 - 6*g + 18. Let w be x(-8). Suppose -w*t = -10 + 4. What is the smallest common multiple of t and (2/(-4))/((-3)/18)?
3
Let g = -219 + 221. Suppose b - 18 = -2*b. What is the least common multiple of b and g?
6
Let k = -440468902 - -1069898940843/2429. Let c = 23/694 + k. Let h = c - 3/7. Find the common denominator of h and 17/12.
12
Let l = -17 - -22. Suppose -l*n = -13 - 117. Suppose -9 = -5*m + n. Calculate the lowest common multiple of m and 6.
42
Let t(c) = -24*c - 5. Let x(d) = d. Let a(f) = -2*t(f) - 22*x(f). Let z be a(4). Find the common denominator of -42/5 and (-5)/(4/z*-3).
10
Let z = -1951/9 + 217. What is the common denominator of -17/6 and z?
18
Suppose q + 40 = 48. What is the smallest common multiple of q and 134?
536
Let j(v) be the first derivative of v**3/3 + 5*v**2/2 + 4*v - 4. Let b be j(-7). Suppose 4*m + b = 7*m. What is the least common multiple of m and 3?
6
Let f(z) = z**3 - 13*z**2 + 12*z - 12. Let r be f(13). Let c = 15997/55 - 1432/5. Calculate the common denominator of c and -1*3 - 736/r.
99
Let z = 20600 - 3708091/180. Find the common denominator of z and 121/140.
1260
Calculate the common denominator of (-6)/4*8305/(-495) and -37/737.
4422
Suppose -o = 3*b - 29, 0*b = 3*b + 5*o - 37. Suppose -54 = -b*r - 0*r. What is the least common multiple of r and 8?
24
Find the common denominator of 19/(-6) + 5 + (2 - 9) and -103/70.
210
Let k = 3279/1840 - 21/368. Find the common denominator of -167/168 and k.
840
Suppose -2*h + 18 = -0*h. Let s(b) be the first derivative of -b**3/3 - b**2/2 + 7*b - 9. What is the least common multiple of h and s(0)?
63
Find the common denominator of 91/40 and (-3)/(90/(-4))*(-1020)/(-180).
360
Find the common denominator of -12/7 and (130/56)/(55/(-55)).
28
Let r = 2719/89 + -3302993/107868. Find the common denominator of -11/16 and r.
4848
Let l = 124800860 + -3744750581/30. Let z = l + 24157. Let t = 29691/88 + -2725/8. Calculate the common denominator of t and z.
330
Let w(s) = 2*s**2 - 14*s - 78. Calculate the smallest common multiple of w(13) and 4.
156
Let c = -192 - -177. Let r = 1322 - 7981/6. Find the common denominator of c and r.
6
Let h = -1185587/36 + 32935. Calculate the common denominator of h and (-962)/(-84) - 8/28.
36
Let u = 11 + -8. Suppose -3*x + 59 = -u*c + x, c - 3*x + 28 = 0. Find the common denominator of -41/4 and (c + 3)*11/18.
36
Let w = -37/108 - -5/54. What is the common denominator of w and -87/4?
4
Let c(y) = 14*y - 3 - 13*y + 12*y. Calculate the lowest common multiple of 16 and c(3).
144
Suppose -l + 0*l = -1. Let w = 15/14 - 39/7. Find the common denominator of w and l + (-7)/8 + 2.
8
Let h = -1974695/264 - -22436/3. Find the common denominator of -43/16 and h.
176
Let v(w) = -w**3 + 5*w**2 + 100*w + 12. Calculate the lowest common multiple of 41 and v(-9).
246
Let i = 23695 - 46845013/1977. Let m be 3/(-21) + 11092874/1882104. Let p = m - i. What is the common denominator of -151/12 and p?
12
Let c = -235 - -304. Calculate the smallest common multiple of c and 51.
1173
Let y(d) = -7*d**2 - 55*d + 18. Suppose -4*n = n - 15. What is the smallest common multiple of n and y(-8)?
30
Suppose 154 = 5*s + 2*v, 2*s + 4*v = 48 + 20. What is the smallest common multiple of 87 and s?
870
Let j = 1506/5 + -21059/70. Suppose -5*n + n - 16 = 0. What is the common denominator of j and n/6 - (-179)/12?
28
Let p(j) = 153*j**2 - 9*j - 10. Calculate the least common multiple of p(-1) and 133.
1