= -4*x + x + 54. Calculate the smallest common multiple of 21 and x.
126
Let n = -149/204 + 11/17. Calculate the common denominator of n and 87/8.
24
Suppose -k = 2*j - 6, 3*j + 2*j + 9 = -k. Find the common denominator of 3 - (-3093)/(-540) - 17/(1989/26) and 3 + -2 + 35/k.
80
Suppose -10*r - 40 = -w - 7*r, -48 = -w + 5*r. What is the smallest common multiple of 24 and w?
168
Let i be (26457/(-51))/(1 - -1). Let t be -4 - -2 - -263 - 2. Let x = i + t. Find the common denominator of -57/2 and x.
34
Let v(u) be the second derivative of u**5/20 + u**4/6 - 5*u**3/6 + u**2/2 + 26*u. Calculate the least common multiple of (-16)/(-1 - 1) - 0 and v(2).
56
Let k(b) = 23*b + 371. Calculate the least common multiple of ((-84)/20)/(1/(-5)) and k(-16).
21
What is the common denominator of -35/78 and (-544)/(-2720) - (608/(-210) - -1)?
546
What is the least common multiple of 1 and -1 - ((-40)/6)/(8/48)?
39
Let d = -6/101 + -361/2424. What is the common denominator of d and 41/296?
888
Let a = -2539 - -25359/10. Let f = 1808 - 7273/4. Calculate the common denominator of a and f.
20
Let t = 48 - 8. Let b(l) = -l + 6. Let n be b(0). Calculate the lowest common multiple of 10 and (t/12)/(2/n).
10
Let c = 21 + 31. Let u = -28 + c. Calculate the least common multiple of u and 40.
120
What is the smallest common multiple of ((2 - 0) + 28)*(-290)/(-87) and 90?
900
Let z = -25 + 25. Find the common denominator of ((-46)/10)/((-16)/(-10)) and z - 5/((-10)/18).
8
Let p(w) = w + 5. Suppose y = 0, x = -0*x + 4*y + 3. Suppose -x*c + 4 + 26 = 0. Calculate the lowest common multiple of c and p(4).
90
Let y(k) = k + 2*k + 24 - 2*k + 2*k. Let x be y(-17). Let j = x - -50. Calculate the smallest common multiple of 1 and j.
23
Let n = 104/7 + -885/77. Calculate the common denominator of n and 5/41.
451
Let g = 2018488/124379 - 990/61. Let u = g + 118276/14273. Calculate the common denominator of (-38)/9 - (1 - 2) and u.
63
Let c(b) be the second derivative of -13*b**3/3 + 5*b**2 + 32*b. What is the lowest common multiple of c(-1) and 12?
36
What is the common denominator of -59/124 and -7 - ((-2827)/154 - -5)?
868
Suppose -2*d - 2 = -k - 21, 9 = 3*k. Calculate the least common multiple of d and 11.
11
Suppose -5*f = -15, -f = -5*i - 6*f + 35. Suppose -j = 0, 5*z - i*j = 2*z + 90. What is the least common multiple of 65 and z?
390
Let l(o) = -5*o - 31. Let b be l(-16). Calculate the smallest common multiple of ((-70)/b)/5 + 284/14 and 7.
140
Let v = 119281/22 - 5423. What is the common denominator of -49/1788 and v?
19668
Let n(r) = r**3 + r**2 - r - 28. Let p be n(0). Calculate the lowest common multiple of (-12)/(-2)*(-98)/p and 24.
168
Suppose 4*d - 48 = 8. Suppose -6*u + 64 = -2*u. What is the lowest common multiple of d and u?
112
Let g(w) = -3*w**2 + 4*w. Let q be g(4). Calculate the common denominator of 2 - (2 - 18/q) and -113/20.
80
Let q(c) = 2*c**2 + c + 1. Let r be q(-1). Suppose r*j = -w, -2*w = -j - j - 12. Calculate the least common multiple of 4 and ((-18)/(-54))/(j/(-48)).
8
Let g = 8 - -86. Calculate the least common multiple of g and 14.
658
Let x be (-21 - -21) + -2 + (-12947)/10. Let m = 1293 + x. Calculate the common denominator of m and 69/10.
10
Find the common denominator of -1/20 and 45/(-600)*508/(-42).
140
Let n = -11123/10 - -1114. Calculate the common denominator of n and -16/9.
90
Let f = -125/23 - -2423/230. Let h = 1688 + -13567/8. Find the common denominator of f and h.
40
Let y = -1325 - -1358. What is the smallest common multiple of 492 and y?
5412
Suppose -9*b = -2*b + 98. Calculate the lowest common multiple of 3 - 2 - (-6 + -1) and (-3*b/21)/((-2)/(-5)).
40
Let g be ((-7)/1 + -2)/(1 + 0). Let u = g - -54. Calculate the least common multiple of u and 15.
45
Suppose u + a + 9 = 2*a, -3*a = 5*u + 61. Let m = 47 - u. Suppose 3*l + 10 = 5*q + 83, 0 = -l - 5*q - 9. What is the lowest common multiple of m and l?
464
Let k = 36209 - 3331185/92. Calculate the common denominator of k and 7/6.
276
Let l = 1553 + -32659/21. What is the common denominator of (106/(-20))/(6/(-5)) and l?
84
Let x = 891/10 + -13991/160. Let l = -87430 - -516973586/5913. Let a = l + -301483/118260. What is the common denominator of x and a?
160
Let q(u) = -11*u**3 + u**2 + u + 1. Calculate the least common multiple of q(-1) and (-6)/30 + -212*(-7)/70.
84
Let c(o) = -9*o + 3. Let s be c(5). What is the lowest common multiple of (-44)/3*s/28 and 36?
396
Let f be 206/((-426)/(-10) + (-2)/(-5)). Let w = 3893/301 - f. What is the common denominator of -39 and w?
7
Suppose -12*g = g + 5564. What is the common denominator of (g/(-120) + -4)*8/3 and 19/5?
45
Suppose 5*v - 4*p = 44, -20 = -2*v + 2*p - 2. Suppose -8*o = v - 72. Calculate the least common multiple of o and 234.
936
Let g be 6 + 705/(-65) + (-2)/13. Let a(j) = -j**3 - 3*j**2 - j - 37. Suppose 6 + 0 = 3*n. Calculate the lowest common multiple of a(g) and n.
18
What is the smallest common multiple of ((-5)/20)/((-1)/44) and 40?
440
Let g(f) = f**2 - 26*f - 37. Let x(d) = -d**2 + 25*d + 36. Let o(v) = -4*g(v) - 5*x(v). Calculate the lowest common multiple of 12 and o(23).
84
Let i = -6/551 + -1389/24244. Calculate the common denominator of i and ((-1095)/160)/((-1 - 0)*3).
352
Find the common denominator of 4/(396/(-145)) + 4/6 and 63/44.
396
Let v = 24 + -15. Suppose v + 0 = i. Calculate the lowest common multiple of 8 and i.
72
Let z = 88 - 28. Suppose 3*c + z = 66. Calculate the smallest common multiple of c and 10.
10
Let s = -51563/26078 - 40/767. Find the common denominator of (18/(-105))/((-4)/7) and s.
170
Let m = 6 + 9. Let p(d) = d**2 - 14*d - 4. What is the smallest common multiple of 9 and p(m)?
99
Let i = -57 - -140. Let n = i - 67. Let r(g) = g**3 + 4*g**2 - 5*g - 4. Calculate the smallest common multiple of n and r(-3).
80
Suppose 0*c = c + 5*w - 12, 0 = 4*c - 5*w + 2. Calculate the common denominator of 41/7 and (c - 135/3)/2.
14
Suppose 3*z - 56 = -4*u, -3*z + 6*u + 40 = 2*u. What is the least common multiple of z and (4/4)/2*32?
16
Let c = 111 - 114. Let p be ((-8)/(-12))/(2/54). Calculate the least common multiple of 11 and ((-10)/6)/(c/p).
110
Let y(f) = 20*f - 24. Let b(j) = -13*j + 16. Let g(c) = 7*b(c) + 5*y(c). Let a be g(3). Let q = a + 1. What is the smallest common multiple of 20 and q?
20
Let b(f) = -f - 2. Let c be b(-6). Suppose 4*o = 4*z - 64, 2*z - c*o - 39 = 1. Let y(n) = 3*n - 10. Calculate the lowest common multiple of y(8) and z.
84
Suppose -u - 22 = -2*u - 4*q, 3*u = 2*q + 136. What is the least common multiple of 48 and u?
336
Let x = 24 + 27. Suppose x*z = 47*z + 84. What is the smallest common multiple of 3 and z?
21
Suppose 0 = -2*j - 5*m - 21, 2*j = -0*j + 4*m + 24. Suppose -j*s = -b - 0*b - 32, 16 = s + 3*b. Calculate the least common multiple of s and 6.
48
Suppose 0 = 9*n - 120 - 24 - 45. Let d = 35 - 17. Calculate the lowest common multiple of n and d.
126
Let w(l) = -6*l + 24. Suppose 5*x - 18 = 52. Let r be w(x). Find the common denominator of -95/8 and 362/r - 1/(-3).
40
Let l = 4901 + -171508/35. What is the common denominator of l and ((-3)/12)/((-20)/(-188))?
140
Let r(w) = 2*w - 3. Let l be r(-3). Let b = l - -6. Find the common denominator of -76/3 and (-2)/b*118/(-12).
9
Let m = 211 - 191. Let f(c) = -3*c - 1. What is the smallest common multiple of f(-5) and m?
140
Let w(l) = -12*l + 10. Let z be w(-11). Suppose -3*t + 4*i + 148 = 0, 5*t - z = 3*i + 90. Calculate the least common multiple of 6 and t.
132
Let b = 7397641/108 - 68498. Calculate the common denominator of -1/120 and b.
1080
Let y(p) = 9*p + 3. Suppose 0*v - 5*v = 20. Let a be y(v). Calculate the common denominator of 34/11 and ((-3)/a)/((-5)/85).
11
Calculate the common denominator of 186/44*29/87 and 71/56.
616
Let v = -1451 + 2804. Let w be v/(-2718) - 1/(-2). Let h = w + 38483/9966. Calculate the common denominator of h and -1/14.
154
Let x(c) = 3*c**3 + c**2 - c. Let i = 12 - 0. Suppose 5*k = -3*r - i + 40, -4*k = 5*r - 25. What is the least common multiple of x(r) and 10?
30
Let l = -11961/3850 + 533/154. Find the common denominator of l and -16/45.
1575
Let y be (3*(-2)/(-256))/(135/108). Let v = y + 277/160. Calculate the common denominator of 2 and v.
4
Suppose 327*k - 117 = 314*k. Let r 