= 1058*q + 7. Let n be u(4). Let d = n + -42437/10. Find the common denominator of -61/2 and d.
10
Let p = -29 + 38. Suppose -5*j + 38 = g, 4*g = j + 2*j - p. What is the lowest common multiple of 10 and j?
70
Let o(g) = 36*g + 550. Calculate the least common multiple of o(-15) and 108.
540
Let j = 504 + -5529/11. Let g be (2 - 1018/216)*(-33)/22. Let m = g - 5/8. Calculate the common denominator of m and j.
99
Let s(l) = -l**3 + 5*l**2 + 8*l - 6. Suppose 99*f - 100*f = 4*g - 32, -5*f = -3*g - 91. Calculate the lowest common multiple of s(6) and f.
60
Let s be -1 - ((-3648)/4)/(-3). Let b be 8/(-12) + s/(-462). Let t = -4/11 - b. What is the common denominator of t and 99/4?
28
Suppose 0 = -2*a - 7 + 37. Let q = 2483/28 - 577/7. What is the common denominator of ((-146)/(-6))/((-10)/a) and q?
4
Let q(c) = 6*c - 3. Let y be q(2). Let m be (-4)/(24/y)*2. Calculate the smallest common multiple of m*(-4)/(-36)*-33 and 1.
11
Suppose -l - l + 10 = 0, -2*s = 3*l - 27. Calculate the lowest common multiple of (-2 + 2/(-5))*(-1020)/153 and s.
48
Suppose 4*d - 2*o = 58, -5*d + 8*d - 39 = -3*o. Let b(c) = -2 - 6 - 3*c + 0*c + 0*c. What is the lowest common multiple of b(-10) and d?
154
Let r = 11099/31968 + -52/999. Find the common denominator of r and 39/320.
2880
Let c(g) = 29*g - 1. Let p = 46 + -44. Suppose -53 = -5*r + r + i, -2*r - p*i + 14 = 0. Calculate the lowest common multiple of r and c(1).
84
Let f = -43/39 - -343/429. Let z = -151 + 859/6. Calculate the common denominator of z and f.
66
Let p = -332 - -337. What is the smallest common multiple of p and 41?
205
Suppose 2*y = -5*c - 0*y + 40, 2*c + 3*y = 16. What is the least common multiple of 42 and c?
168
Suppose 15*w - 20*w + 4*i + 44 = 0, 2*i + 28 = 4*w. Let x(h) = -h**3 + 7*h - h + 0*h - 3*h**2. What is the lowest common multiple of w and x(-5)?
20
Let l = 437 + -436. What is the smallest common multiple of l and 24/(3 + -1) + -2?
10
Suppose 3201 + 799 = 25*k. Calculate the smallest common multiple of k and 60.
480
Let j = -54 + 60. Let y(f) = -7*f + 64. What is the smallest common multiple of y(j) and 96?
1056
Let b = 87880400/13773 + 174/4591. Let v = b + -128657/21. Let q = 10135/42 - v. Find the common denominator of -9/22 and q.
66
Suppose -3*n - u = -188, -4*n + 3*u = -175 - 93. Calculate the smallest common multiple of 120 and n.
960
Let w(c) = -113*c + 8. Let n be w(-4). Let v(d) = d**2 - 9*d - 2. What is the lowest common multiple of 3 + (n/4)/5 and v(10)?
104
Suppose -5 = 3*u - 14. Suppose -2*y + 5*y = u. Find the common denominator of -21/2 and 6*((-21)/(-24) - y).
4
Let b be ((-1)/(-3))/((-2)/(-138)). Suppose 3*z - 10 - b = 5*d, 3*z = -3*d + 9. Calculate the smallest common multiple of ((-9)/(-12) - 2/(-8))/1 and z.
6
Suppose 0 = -2*l - 4*i + 302, -5*l + 3*i + 933 = 230. Calculate the smallest common multiple of 91 and l.
1001
Let q(n) = 19*n + 254. Calculate the least common multiple of q(-12) and 7.
182
Let m = 107 - 98. Let r(j) = -2*j**2 - 5*j + 5. Let h(f) = 3*f**2 + 7*f - 8. Let u(y) = 5*h(y) + 7*r(y). Calculate the smallest common multiple of m and u(4).
99
Let q be 4/(-4) - 10 - 1. Let j be 45/12 + (-3)/q. Suppose j*p + h - 61 = 0, -20 = -0*h - 4*h. What is the least common multiple of p and 16?
112
Suppose -4*q + 7*q = 27. Suppose -33*y + 522 = -4*y. Calculate the lowest common multiple of q and y.
18
Let l = -245 + 147. Let k = l - -138. What is the least common multiple of 4 and k?
40
Let y = -12 + -15. Let b = -13 - y. What is the smallest common multiple of 8 and (16/b)/((-4)/(-14))?
8
Suppose 33*w - 100 = 29*w. Let r = -23 + w. What is the smallest common multiple of 9 and r?
18
Let l be 17122/1666 + 1*-2. Let k = 50/119 - l. Find the common denominator of 2/(-6) + (-530)/(-24) and k.
28
Let q be (5/(-30)*-44087)/(-1). Let a = q - -7331. Find the common denominator of -47/13 and a.
78
Let a(u) = 2 - u - 3*u + u + 0*u. Let x(w) = 7*w - 4. Let m(g) = -13*a(g) - 6*x(g). What is the least common multiple of m(-4) and 6?
30
Let l be 0/(-1) + 0/(-17). Suppose -5*z + 11 + 41 = 2*w, -3*z + w + 29 = l. Calculate the lowest common multiple of z and 7.
70
Suppose 48 = 48*r - 44*r. Calculate the least common multiple of r and 8.
24
Calculate the lowest common multiple of ((-448)/(-20))/((-8)/(-20)) and 63.
504
Let y = 5905/21 + -284. Calculate the common denominator of y and -23/63.
63
Suppose 0 = 4*q + 20 - 156. Calculate the least common multiple of q and 4/14 + 246/21.
204
Let f(t) = 4*t - 23. Calculate the least common multiple of f(8) and 102.
306
Let s = 85081/32 + -2659. Calculate the common denominator of s and -15/256.
256
Let w = -575 - -2923/5. Let l = -150/167 - -15395/1336. Find the common denominator of l and w.
40
Suppose 0*z = 4*z + 15528. Let q = z - -42755/11. Let g = 26051/2232 - 13/279. Find the common denominator of q and g.
88
Suppose 0 = -s + 8*s - 70. What is the least common multiple of 1914 and s?
9570
Calculate the common denominator of 119/72 and (-146)/32 + (-48)/(-16).
144
Let l be -2 - (9 - 5) - 0. Find the common denominator of -1/4 and ((-60)/(-400))/(l/235).
8
Let h = 3/655 - -1173/1310. Find the common denominator of (-1*((-27)/(-6) - 3))/(-3) and h.
10
Suppose 13*r - 4*r = -36. Let w(i) = i + 36. Calculate the least common multiple of w(r) and 2.
32
Let y = 102 - 73. Let k = y - 30. Calculate the lowest common multiple of 10 and (4 - -7) + -3 - k.
90
Let q = -1185 + 1193. Let h(s) = 4*s - 1. Calculate the smallest common multiple of h(2) and q.
56
Calculate the lowest common multiple of (18/45)/((-841)/(-280) + -3) and 64.
448
Let a = -79851 - -123529501/1547. Let w = 39773429229957/12376 - 3213754778. Let y = a + w. Calculate the common denominator of -83/2 and y.
8
Let i(w) = -32*w + 490. What is the least common multiple of i(15) and 35?
70
Suppose 0 = -19*g + 2*g + 136. Calculate the least common multiple of 40 and g.
40
Let q be (-6)/(-9) - (-70)/21. Suppose 0 = q*c + 12, 5*c - 5 = 3*b + b. What is the lowest common multiple of 7 and 1/2*(b + 9)?
14
Suppose 5*m - 45 = -3*k - 16, 2*m - 11 = -k. What is the least common multiple of 3 and 5 - m/(4 - 3)?
3
Suppose -z - 6*k = -2*k - 17, -181 = -5*z + 4*k. Calculate the least common multiple of z and 3.
33
Let d = 149 - 139. What is the smallest common multiple of d and 8?
40
Let b(h) = -2*h**2 - 26*h + 4. Let q be b(-13). Suppose 3*a = -4*f + 23, q*f - 4 + 8 = 0. Calculate the least common multiple of a and 12.
36
Let p = 417 + -315. Calculate the lowest common multiple of p and 16.
816
Let m(z) = -z**2 - 23*z + 1. Let r be m(-19). Let n = r - 71. What is the smallest common multiple of 15 and n?
30
What is the lowest common multiple of 45 and -11*((-224)/77 + 2)?
90
What is the common denominator of 22/273 and 41/39 + (-58)/(-87)?
273
Let a be 70/100*31341/8845. Let p = a - 36/1769. What is the common denominator of p and -1/12?
300
Calculate the least common multiple of 81 and 1 + 300/175*14/3.
81
Suppose 0 = -m - 3*m + 12. Suppose 0 = 4*b - c - 21, -2*b + m = 5*c - 2. What is the smallest common multiple of 2 and b?
10
Let c = 42 + -2. Suppose 6*l - c = l. Let q(i) = i**2 - 5*i - 4. What is the least common multiple of q(-3) and l?
40
What is the lowest common multiple of 1 and 18/16*24*(-1 - -2)?
27
Suppose 2*p + p - 6 = 0. Let r = -1/2440 - -74427/17080. Calculate the common denominator of r and p/3 + 105/(-54).
126
Let o = 438307/61 + -7185. Calculate the common denominator of -29/11 and o.
671
Let w be ((-92)/(-3))/(26/819). Let g = w + -5651/6. What is the common denominator of (-2)/(-5)*43/2 and g?
30
Suppose 5*u - 3*g = 99, -g - 46 - 47 = -5*u. Calculate the lowest common multiple of 372 and u.
1116
Suppose -3 + 227 = 2*m. Suppose -4*z + 4*p = -m, -5*z - 3*p + 128 = -12. Calculate the smallest common multiple of (-2)/((-16)/36)*16/6 and z.
84
Suppose 4*c = -4*q + 12, 3*q = -c - 3*c + 7. Let v be ((-1)/c)/((-8)/(-16)). What is the common denominator of (639/(-66))/(v*-3) and 59/8?
88
Suppose -117 = -20*i + 17*i. What is the least common multiple of i and 143?
429
Let w be 195/12 - (-18)/24. Suppose -11*g = -w*g + 198. What is the smallest common multiple of g and 18?
198
Suppose 3*k + 6*k - 648 = 0. Let h = -58 + k. What is the smallest common multiple of h and 18?
126
Let i