20
Let h be (-12178)/1032 - (-1)/(-4). Let f be 11/((-1892)/(-192)) - 1. Let c = f - h. Find the common denominator of c and -87/20.
60
Find the common denominator of (0 - 3)*1 - 584/(-48) and -63/58.
174
Suppose 3 = -17*b + 20*b. Calculate the common denominator of b*2 + 2627/(-629) and 24/7.
119
Let x = 13 - 10. Suppose j - 3 = 2*q, 0*j - 3 = 3*q - x*j. Find the common denominator of (-1056)/(-126) - q/(-3) and -99/8.
56
Let j be (-15 - (2 + -2))*-2. Let d = j + -13. Calculate the least common multiple of 10 and d/2 - (-1)/(-2).
40
Let s = 43067/10 - 4296. Let p = -254729/18 - -14156. Calculate the common denominator of p and s.
90
Suppose 16*t = 13*t + 12. Suppose -t*a = -0*q + 3*q - 11, 4*a = 5*q + 35. Find the common denominator of -77/2 and 1/q - (-49)/2.
6
Let j(h) = h**2 - 16*h - 32. Let w(d) = 6*d**2 - 81*d - 161. Let b(n) = 11*j(n) - 2*w(n). What is the least common multiple of 2 and b(-10)?
10
Let y(b) = -b - 1. Let w be y(-7). Let f(d) = d**3 - 6*d**2 + 2*d - 9. Calculate the least common multiple of 3/(-2)*(-16)/6 and f(w).
12
Let s(z) = -z**3 - 8*z**2 - 4*z - 10. What is the least common multiple of 6/2 + (-11)/(-1) and s(-8)?
154
Suppose -2428*y = -2422*y - 24. Calculate the smallest common multiple of 936 and y.
936
Let c be -2*1 + 1 + -2. Find the common denominator of c/2*42/56 and 67/8.
8
Let c = -456293/1050 - -15168/35. Let x = 27619/66 + -1255/3. Calculate the common denominator of x and c.
1650
Let g(f) = 4*f - 6. Let u be g(2). Suppose -4*h - 2*b + 7 + 5 = 0, -2*h = u*b - 4. Let p = h - -4. What is the least common multiple of p and 44?
88
Let d = -62 + 67. What is the common denominator of 83/12 and d*-1 - (-62)/32?
48
What is the common denominator of 24/8 - (-2)/((-60)/(-279)) and (-1 + (-79)/20)*-2?
10
Let w(c) = 25*c**2 + 37*c - 12. Let g be w(9). Find the common denominator of (-2)/17 - (-2469)/g and 71/4.
92
Suppose -5*v - 24 = -t, -2*v - 22 = -3*t + 3*v. Let k be (t - -2) + -359 + 2. Let p = k - -2843/8. What is the common denominator of -17/3 and p?
24
Let a = 14 + -10. Suppose 2*q + 50 + 10 = 0. Let n = 33 + q. Calculate the least common multiple of a and n.
12
Let b be (-6)/((-21)/11 - -2). Let r = -47641/14 + 3397. Find the common denominator of r and (158/b)/((-4)/(-6)).
154
Let d be 672/(-140)*(-16 - 2/(-2)). Suppose 3*l = d - 12. What is the least common multiple of 18 and l?
180
Suppose -4 = q, 0 = -3*r - 0*r + 2*q + 17. What is the least common multiple of 82 and (-88)/4*(2 - r)?
902
Let h be 1602/21 + (-8)/28. What is the common denominator of 81/22 and (-1273)/h*(0 + 1)?
44
Let j = -11/372 + 7741/744. Calculate the common denominator of j and (-244)/12 + 2/4.
24
Suppose q - 3*q + 192 = 0. Let x be (2/3)/(1/3). Suppose -84 = -4*o - 2*i, 2*i + x*i = 4*o - q. Calculate the lowest common multiple of o and 16.
176
Let w be 2/15 - 26608/(-240). Suppose -4*j - j + 5*r = -135, -5*r = -4*j + w. Calculate the smallest common multiple of j and 18.
72
Calculate the lowest common multiple of (-112)/(15/6*16/(-20)) and 14.
56
Let j = 3490/3 + -41959/36. Find the common denominator of 2/69 and j.
828
Let z = 407/3 - 1969/15. What is the common denominator of (119/(-28))/(4/6 - 1) and z?
20
Let g(t) = 4*t - 26. Let v be g(7). Suppose 0 = -4*n + 4*p + 96, -2*p - 68 = -v*n - n. What is the least common multiple of n and 32?
160
Let m(o) = o**3 - 3*o - 2. Let y be m(3). What is the common denominator of (-4)/((-112)/(-199)) + 4/y and -2/35?
35
Let d = -39 + 43. Let q be 2*-2 + 1 - -65. Suppose -d*t - t = 4*k - 92, k = 3*t - q. What is the lowest common multiple of t and 6?
60
Let o = 779 + -746. Calculate the lowest common multiple of 171 and o.
1881
Suppose 0*x - 3*x + 18 = 0. Let u(w) = 8*w**2 - 2*w + 1. What is the least common multiple of x and u(-1)?
66
Let a = 70688449/10 + -7060560. Let z be (-16585)/(-2) - (-1)/2. Let h = z - a. What is the common denominator of -46/9 and h?
90
Suppose -9 = -19*p + 16*p. Let z = p + 7. Let x(d) = -d + 18. Calculate the lowest common multiple of x(z) and 6.
24
Suppose -4*n = -2*p + 640, -2*p + 6*n = 11*n - 658. Calculate the least common multiple of p and 36.
324
What is the lowest common multiple of 425/255 - 62/(-6) and 20?
60
Suppose 2*j = 2*p - 11 - 19, 4*j + 50 = 3*p. Calculate the lowest common multiple of 8 and p.
40
Suppose 0 = 5*j - w - 20, 4*w = -4*j - 8 - 0. Suppose 0 = 4*f + 2*y - 210, 7*f - 246 = 2*f + j*y. What is the smallest common multiple of 8 and f?
408
Let s = -239/222 + -10/111. Let x(j) = j**3 + 2*j**2 - 2*j - 1080. Let r be x(0). Find the common denominator of s and 2/(-4) - r/336.
42
Calculate the common denominator of (-59)/6*-3 - (1 - 0) and -69/34.
34
Let q(w) = -w + 2. Let f be q(-6). Calculate the least common multiple of 28 and (-4)/(-16) + 46/f.
84
Let f be (10/370)/(2/(-30)). Let d = f + 2657/74. What is the common denominator of 19/30 and d?
30
What is the common denominator of (-1 - (-658)/(-198)) + (7 - 3) and 89/120?
3960
Let t = 31 + -63. What is the smallest common multiple of (-217)/(-14) - 3/(-6) and 40/16*t/(-10)?
16
Let g = 1/679 - -33947/2037. Suppose 0 = 2*h - 0*o - 3*o - 66, -10 = 5*o. What is the common denominator of 0 - (h/39 - 3) and g?
39
Calculate the common denominator of -83/40 and (((-222)/(-10))/3)/(264/(-55)).
120
Suppose 3*m - 21 = -0*m. Suppose -5*a = 4*g - 10, 5*g - 3*a + m*a = 8. Suppose 2*l + g*l - 44 = 0. What is the smallest common multiple of l and 14?
154
Let t = -24529/2610 + 749/87. Calculate the common denominator of -20/51 and t.
1530
Let d be (2 - 3)/((-8)/112). Let p = d + -17. Let f = 11 - p. What is the lowest common multiple of f and 20?
140
Calculate the lowest common multiple of (1/(-2))/((-25)/9050) and 2.
362
Let s be 2 - ((4 - 8) + -1). Suppose 0 = s*l - 19 - 23. Suppose 5*y = -2*p + 24, 0*p - 3*p = -3*y + l. What is the lowest common multiple of p and 2?
2
What is the common denominator of 1/(-12768)*3508 - (-2)/7 and -115/132?
5016
Suppose z - 5*c = -0*z + 36, 0 = -5*c - 20. Suppose 0 = -4*y - 4*f + 5*f - 1, z = -4*y + 4*f. What is the least common multiple of 2 and y?
2
Let u = 4 + -4. Find the common denominator of -31/10 and (665/418)/(u + -1).
110
Suppose -v + o + 1 + 0 = 0, -2*v = 2*o - 22. Let f be (v/(-12))/((-3)/25447). Let y = -4253 + f. Find the common denominator of -37/9 and y.
18
Let l be (-2)/5 - (-295735)/400. Let k = l - 743. Calculate the common denominator of k and -43/6.
48
Calculate the common denominator of -101/162 and -7 - (-10 + 334/36).
162
Let h = -169 - -1858/11. Let g = -626891/27556 - 2/6889. What is the common denominator of g and h?
44
Let j(q) = -14*q - 311. Calculate the smallest common multiple of 5 and j(-24).
25
Let c be 1 + 7 + -4 + 8. Let y be (-7478)/(-224) - (-9 + c). Let q = y - 621/16. Calculate the common denominator of 49/4 and q.
28
Calculate the smallest common multiple of ((-405)/18)/(((-6)/40)/1) and 2.
150
Let g = -261 + 288. What is the common denominator of -2/49 and g?
49
Let y be (-2)/(-3) + (-1696)/(-48). Find the common denominator of 39/2 and (999/y)/(14/4).
14
Let p = 793 + -409. What is the least common multiple of p and 18?
1152
Find the common denominator of 220/50*70/(-16) and 111/22.
44
Let g = -415 + 469. Calculate the least common multiple of 90 and g.
270
Let v be (-45731546)/246 - (-8)/(-24). Let l = -185891 - v. Let t = 13897/1148 - l. Find the common denominator of -23/14 and t.
28
Let w(p) = 3*p**2 - 3*p + 3. Let o = 26 + -24. What is the smallest common multiple of w(o) and 2?
18
Find the common denominator of ((-129)/4)/((-180)/(-8)) and -149/72.
360
Suppose 2*x = 2*b - 3*x - 19, -5*x = 25. Calculate the common denominator of ((-61)/33)/(12/(-18)) and (-179)/(-20)*1 + b.
220
Let z = -134 + 143. What is the smallest common multiple of z and 30?
90
Let z = -2062/7 - -12757/42. Find the common denominator of z and -37/64.
192
Let r = 72468/5 - 6957623/480. What is the common denominator of 46/3 and r?
96
Let d(y) be the third derivative of y**6/120 + y**5/12 - y**4/6 - 5*y**3/3 - y**2. What is the least common multiple of 10 and d(-5)?
10
Let q be (-18 - -9)*-1*(-3)/(-9). Suppose -3*u = -a + 3, 0*u - 4 = 4*u - 2*a. Let w = q - u. What is the smallest common multiple of 14 and w?
28
Suppose -5*l + n + 112 + 148 = 0, l - 2*n - 43 