m + 8 = 2*r. Suppose -4*q + 3*z = -8 - 0, -z = m*q - 8. Calculate the smallest common multiple of q and 24.
24
Let f be -1 + (0/(-2))/4 + -1. Calculate the common denominator of 39/15 + f + 316/(-135) and -11/21.
189
Suppose 0 = -4*a + 5*v + 255, -v + 108 = 2*a + 3*v. Suppose -a = -4*r + 68. Let w(i) = -2*i - 102. What is the smallest common multiple of w(-52) and r?
32
Suppose 2*j + 0*j = -5*m + 17, 4*m = -j + 7. Suppose j*o = 13*o - 60. Calculate the lowest common multiple of o and 18.
90
Let y = 83 + -85. Calculate the common denominator of (y + 1)/((-264)/(-244) - 1) and 43/2.
10
Calculate the common denominator of 30/50 + (-146)/(-30) and 17/120.
120
Find the common denominator of 167/60 and 156/546 + ((-676)/1974)/1.
2820
Find the common denominator of (-613)/1008 - ((-714)/189 - -4) and -53/7.
112
Let n = -165 + 180. Calculate the smallest common multiple of 57 and n.
285
Let r be (4/3*6)/1. Let g = r + -24. What is the common denominator of ((-7)/5)/(g/(-20)) and 27/4?
4
Let h be -1 - (-5 + 2 - -1). Let z = -8 - -10. Suppose -y + h = -z. Calculate the least common multiple of y and 11.
33
Let s(n) = -4*n**3 - 4*n**2 - 4*n - 1. Let x be s(-2). Find the common denominator of x/(-161) + 1/((-210)/(-989)) and -13/27.
270
Let h = -26725 + 801661/30. What is the common denominator of h and -25/87?
870
Let l(s) = s**3 - 2*s**2 + s - 2. Let z be l(-7). Find the common denominator of 2/85*z/(-8) and (79/2)/(0 + -10 + 2).
272
Let b(s) = s**3 - 42*s**2 + 44*s - 111. What is the smallest common multiple of 30 and b(41)?
60
Let c = -49 + 29. Let k be ((-30)/(-25))/((-6)/c). What is the lowest common multiple of 10 and 0 + k/((-8)/(-4))?
10
Calculate the lowest common multiple of ((-8)/(-5))/((-1)/30*-1) and 12.
48
Let s be (-5248)/(-33943) - (-6)/(-39). Let x = 75699/26110 + s. What is the common denominator of (-166)/(-28) - (-1 - -1) and x?
70
Let b(a) = a**3 - 28*a**2 + 79*a + 35. Calculate the smallest common multiple of b(25) and 15.
135
Suppose 4*g = 6*g - 14. Suppose 0 = 4*b - 9 - g. What is the lowest common multiple of b and 5?
20
Let p be 33054/4 - (-1 - 4). Let l = 124001/15 - p. What is the common denominator of l and 43/3?
30
Let d = -26 - -38. Suppose -2*j - 7 = -5*j + 4*x, j = -x + 7. What is the least common multiple of j and d?
60
Let c = -24757/13160 - -37/658. Calculate the common denominator of 10/44*14/4 and c.
440
Let m = 7 - 1. Let g be (32/10)/(m/15). What is the lowest common multiple of g/(-3)*(-63)/12 and 16?
112
Let q = -555 - -115. Let i be 10/30*(-4566)/q. Let h = -29/20 - i. Find the common denominator of h and -101/6.
66
Suppose 3*j = 4*r + 413, -4*j + r = -0*r - 555. What is the smallest common multiple of j and 1?
139
Find the common denominator of 37/(-148) - (-87)/(-480) and -103/12.
480
Suppose -3 = -0*m + 3*m. Let c be 24/(m/((-20)/8)). Calculate the lowest common multiple of c/(-8)*(-24)/10 and 16.
144
What is the least common multiple of 9/2 + (-2)/(-4) and (6 - 4)/(-5 - -7)?
5
Let z(s) = -s**2 + 8*s + 4. Let l be z(8). Suppose -3*u = -a + 11, -l*u = -3*a - 0*a + 58. Calculate the smallest common multiple of 21/(-35) + a/10 and 4.
4
Suppose 0 = 3*s - 4*s + 149167. Let b = -9248631/62 + s. Let o = 26/155 + b. Find the common denominator of -75/8 and o.
40
Let i = -37 + 40. Suppose -6*p + 48 = -i*p. Calculate the least common multiple of 18 and p.
144
Let j = -17/378 - 9691/945. Calculate the common denominator of j and 2*(13/(-26) + 18/(-22)).
110
Let n = 1512213/1416434 - 1/19141. Calculate the common denominator of 19/8 and n.
296
Suppose 15*x = -18*x + 660. Calculate the lowest common multiple of 72 and x.
360
Let i be (-4)/(1320/(-3265501))*111. Let w = -1098383 + i. Let z = w + -111/11. Calculate the common denominator of z and -17/16.
80
Calculate the common denominator of -39/10 and (1/(-2))/(1/((-318)/54)).
90
Let f = 15 + -11. Let d(n) = 2*n**2 - 3*n - 3. Calculate the lowest common multiple of d(f) and 1.
17
Let j = 4679/8544 - 20/89. What is the common denominator of j and 7/4?
96
Let s(d) = 8*d**2 + d - 6. Let p be s(4). Suppose -4*w = 3*w - p. Calculate the lowest common multiple of 12 and w.
36
Let y = 530 - -249. Let s = y - 361. Let b = -3245/8 + s. What is the common denominator of b and 41/20?
40
Let q = -146 - -132. Calculate the common denominator of -61/20 and (9/(-2) - 0)/((-6)/q).
20
Let t(m) = m**2 - 8*m - 7. Let l be t(9). Let n = 24 - 6. What is the lowest common multiple of n and l + 0/(2 + -5)?
18
Let r be (-8)/2*(-108)/48. Calculate the common denominator of (r/18)/((-2)/10) and -81/16.
16
Let h(k) = -5*k - 1. Let r be h(-1). Find the common denominator of 2/r*(-186)/4 and 1 + -2 + 30 + -3 + 7 + 3.
4
Suppose -4*b = 5*t + 11916, 0 = -5*t + 4*b + 683 - 12567. Let c be t/(-14)*4/10. Suppose -4*m + c + 12 = 0. What is the lowest common multiple of m and 14?
140
Suppose -u - 3*u = -20, 4*u + 34026235152 = 4*p. Let v = 186650913133517/21942 - p. Let q = -1/2438 - v. What is the common denominator of q and -31/2?
18
Let t be (1 - 5) + 2 - (-16961)/(-18). Let l = t + 944. Calculate the common denominator of l and -67/12.
36
Calculate the common denominator of -121/10 and 20/(-80)*182/16.
160
Let v(h) = h - 10. Let n be v(0). Let j = -4 - -12. Calculate the smallest common multiple of j and 15*(-9)/(225/n).
24
Suppose -65 - 25 = -10*c. Calculate the least common multiple of c and 6.
18
Let h = 2209/19140 + 2/1595. What is the common denominator of -139/12 and h?
60
Let h = 948 + -692. What is the smallest common multiple of 224 and h?
1792
What is the common denominator of 664/(-12)*(-12)/32 and 2/9?
36
What is the least common multiple of 286 and (-3)/(36/(-39))*8?
286
Let n = 2604 - 39082/15. Calculate the common denominator of n and 37/12.
60
Suppose 648 = 75*f - 71*f. Suppose -q + 2*m = 2*q - f, 2*m + 108 = 2*q. What is the least common multiple of 1 and q?
54
Let q(t) = 5*t - 79. What is the least common multiple of 8 and q(31)?
152
Let t = 5013 - 4993. Let b = -48 - -92. Calculate the lowest common multiple of t and b.
220
Let u = 550464269/24 + -22932723. Let s = u - 3287. Calculate the common denominator of 97/20 - (0 - 0) and s.
120
Let b(s) = 17*s**3 - 2*s**2 + 18*s - 32. Calculate the least common multiple of 18 and b(2).
396
Suppose -11*z = -9*z + 5*i - 82, -3*z - 2*i = -112. What is the lowest common multiple of 36 and z?
36
Let v(m) = 91*m + 568. What is the lowest common multiple of 119 and v(-4)?
1428
Suppose 3*s = -2*i + 9 + 6, 15 = s + 4*i. Calculate the common denominator of 2/(-96)*s*-9 and 121/18.
144
Let p = 1628/7 - 5805/28. Let s = 3572 - 14213/4. Calculate the common denominator of s and p.
4
Let o be (-4)/(-3)*24/16. Suppose o - 3 = j + 3*i, -2*j = -2*i - 6. What is the common denominator of 73/12 and (-620)/(-88) - j*1?
132
Let y be -1 - (1 + 157/(-11)). Let u = 322/187 - -218/17. Let j = u - y. Calculate the common denominator of -70/9 and j.
99
Let t = 4809923/300 - 16033. What is the common denominator of -85/12 and t?
300
Let w = 1726/91 + -177517/9009. What is the common denominator of -43/234 and w?
2574
Calculate the common denominator of 121/12 and (160/36)/((-4)/6).
12
Let v = -8 + 12. Suppose -p + 3*p = 3*i + 54, -5*p + 142 = -v*i. Calculate the lowest common multiple of 18 and p.
90
Let f(a) = -4*a + 31. Let x(s) = s**3 - 14*s**2 + 13*s + 6. Let u be x(13). Calculate the least common multiple of 6 and f(u).
42
Let m(n) = -n - 3*n - 6*n. Let r(y) = y**2 + 16*y - 37. Calculate the least common multiple of r(-19) and m(-2).
20
Let w = 3199 + -914941/286. What is the common denominator of w and -103/22?
286
Let y(d) = -d**3 + 3*d**2 + 2*d - 2. Suppose 5*r = -g - 0*g - 9, 5*r + 7 = -3*g. Calculate the smallest common multiple of y(3) and g.
4
Let w = 50551/8 - 6327. Calculate the common denominator of -61/6 and w.
24
Let x be (-53)/(0 + 1/113). Let t = 221067377/16 + -13810724. Let i = t + x. Find the common denominator of i and -59/2.
16
Suppose 11*v - 6*v = 225. Suppose x - 11 = -38. Let z = v + x. Calculate the least common multiple of 4 and z.
36
Suppose -86*r = -87*r. Suppose 4 = -k, -7*p + 3*p - 3*k + 4 = r. Calculate the smallest common multiple of p and 12.
12
Suppose -s + 13 = 3*w + 12, 5*s - 4*w - 24 = 0. What is the smallest common multiple o