1926. What is the common denominator of d and -23/70?
420
Suppose 1470 = 16*x + 19*x. Calculate the lowest common multiple of 6 and x.
42
Let a = -127402 + 67650496/531. What is the common denominator of -9/7 and a?
3717
Let u be (-2)/(-6) - (-979)/42. Let s = u - 225/7. Find the common denominator of s and 9 + (-15 - -8) + 41/9.
18
Suppose -14*x - 4*l + 96 = -13*x, -448 = -5*x - 4*l. Calculate the lowest common multiple of 64 and x.
704
Let q(c) = 7*c - 80. Calculate the least common multiple of 18 and q(14).
18
Let y(a) = a**3 + 6*a**2 - 7*a + 12. Let f be y(-7). What is the common denominator of (f/16)/((-3)/98) and 53/200?
200
Let x = 40777/6 + -6812. Let f = -849/82 + -6/41. Calculate the common denominator of f and x.
6
Let p = 1/1641 + 9662/2735. Find the common denominator of 29/(-12)*13/((-234)/(-20)) and p.
270
Let a = -405097/20 - -20249. Calculate the common denominator of 23/40 and a.
40
Let g = 44/53 - 1969/265. What is the common denominator of g and ((-26)/(-4))/(33/6)?
55
Suppose -5*w + 5*s = -0*w - 200, 3*w - 100 = -s. Let u = -4694 + 28027/6. Find the common denominator of u and (4/w)/1*40.
42
Let v = 33226 - 135119/4. Let z = v - -570. Calculate the common denominator of z and 1*(-2)/(-4)*663/91.
28
Let q = 145 + -10. Suppose 29*m = 24*m + q. What is the smallest common multiple of m and 12?
108
Let o = 67 + -4. Suppose -2*p + 9*p = o. Suppose -3 - p = -3*t. What is the lowest common multiple of t and 18?
36
Calculate the smallest common multiple of 12 and 438/30 - 4/(-10)*1.
60
Let s = -12354 + 72697/6. Let a = s - -242. Let h = 2140 + -8513/4. Calculate the common denominator of h and a.
12
Let x = -23 + 15. What is the least common multiple of 13 and 16/x + (0 - -13)?
143
Let a be (-2 + 1)*(-79 - 5). Let x = 88 - a. Suppose 2*o + 4*w + 4 = 0, o + 3*w = 6*w + 13. What is the lowest common multiple of o and x?
4
Let k(l) = 6*l**2 + 44*l + 6. What is the least common multiple of 120 and k(-9)?
480
Let s = 1371 - 1370. Calculate the least common multiple of s and 8.
8
Let p = 19 + -25. Let w be 5*(p - -2)/4. What is the smallest common multiple of -4 - (-3 + -2 + w) and 2?
6
Find the common denominator of 109/24 + 0 + (-10)/(-15) and 74/15.
120
Suppose -5*c - 191 = n, -2*n - 14 - 17 = c. Let r = c - -33. What is the least common multiple of 9 and (22/(-4))/(r/12)?
99
Let k = -1148369/3182322 - -8/11127. Find the common denominator of -71/12 and k.
1716
Let g = 1252 + -1234. What is the least common multiple of g and 900?
900
Let g = -37 + 173/4. What is the common denominator of -41/6 and g?
12
Suppose 3*k + 1344 = 17*k. What is the least common multiple of 10 and k?
480
Let z(v) = -v**2 - 15*v + 6. Calculate the smallest common multiple of z(-15) and (-145)/(-5) - (-1 + -5).
210
Let o be 1*(-3 - -6) - -124. Let w = -17/539 - 52011/8624. What is the common denominator of w and (-14)/42 - o/(-48)?
16
Let f(w) = w - 4*w + 8*w - 4*w + 18. Let v be f(9). Let x = v - 23. Calculate the lowest common multiple of x and 6.
12
Let w be (60/35)/((-2)/(-84)). Suppose -4*x - 2*h = 2*h - w, -3*x = -2*h - 64. What is the smallest common multiple of 34 and x?
340
Let i = -24 - -25. Calculate the least common multiple of i and 112.
112
Let l(p) be the second derivative of -p**4/12 + 5*p**3/2 + 9*p**2/2 + 6*p. Let x be l(17). Let d = 32 + x. What is the smallest common multiple of d and 8?
56
Suppose r + 4*r + 2*p - 24 = 0, 0 = -4*r + 5*p + 39. Let f = r - 5. What is the lowest common multiple of f and 13?
13
Let j = -22 - -18. What is the common denominator of 83/j - (-7 - -8) and (-24)/16*(-88)/3?
4
Let n = 15 - -35. Let b = n + -43. Calculate the least common multiple of 10 and b.
70
Let k(q) be the first derivative of q**2 + 8*q - 1. What is the common denominator of k(-4) and 89/10?
10
Suppose 4*v - 29 = -4*s + 23, 4*s - 62 = v. Let t be ((-1)/3)/(-1) + (-1540)/(-330). Suppose z + t = s. What is the smallest common multiple of 10 and z?
10
Suppose 0 = -3*n + 7 - 13. Calculate the smallest common multiple of 1 and 8/n - (-14)/1.
10
Suppose d - 3*k + 237 = 3*d, 5*d - 655 = 5*k. Let t = 177 - 3193/18. Find the common denominator of 1005/d + 7/(-49) and t.
18
Suppose 2*n = 68 + 12. Find the common denominator of -19/6 and ((-426)/32)/(60/n).
24
Suppose q + 2*g + 25 = 86, 3*g = 4*q - 211. Calculate the smallest common multiple of 45 and q.
495
Suppose 8 = 2*c - 36. Let s = -28 - -171. Let o = s - 113. What is the lowest common multiple of c and o?
330
Let o = 15 + -136. What is the common denominator of o/(-6) - (12 + -14) and -1/24?
24
Let w(p) = 83*p**2 + p. Let i be w(1). Let x = i - 76. What is the lowest common multiple of 24 and x?
24
Let f be -9678 + -2*12/8. Let k be f/2*8/24. Let x = 1571 + k. What is the common denominator of x and -13/4?
4
Suppose -4*a = 5*y - 44, 6*y - y + 3*a - 43 = 0. What is the least common multiple of 7 and y?
56
What is the smallest common multiple of 80 and (-8)/(-6) - 280/(-6)?
240
Suppose 1483 = -42*w - 155. Let j = -213/910 + 5/14. Calculate the common denominator of w and j.
65
Let o = 152 - 93. Suppose -o = -4*s - 15. Calculate the least common multiple of 5 and s.
55
Let n(p) = p**3 + 9*p**2 + 4*p - 30. Let b be n(-8). Suppose -2*z - 30 = b*j - 5*j, 4*j - 44 = 4*z. What is the smallest common multiple of j and 5?
40
Let y be (-856759)/(-2463)*108/(-4). Let l = y + 9392. Let h = l + 68137/4926. Calculate the common denominator of 7/18 and h.
18
Suppose 0 = -c + 6*c - 20. Suppose c*n + 0*n + 5*f = -98, -3*n = 3*f + 72. Calculate the common denominator of ((-153)/n)/3*-1 and 31/6.
66
Let u = -2419/5 + 491. Find the common denominator of -95/6 and u.
30
What is the least common multiple of 13 and (-11)/(-1) + 96/(-24)?
91
Let p(l) = 17*l + 15. What is the lowest common multiple of p(3) and 2?
66
Let m = -12547 - -564647/45. Calculate the common denominator of m and -7/15.
45
Suppose 8*k - 4*k = 148. Suppose k = 3*d - 44. Let z = -11 + d. What is the smallest common multiple of z and 12?
48
Let z = 27 + -43. Calculate the least common multiple of (-52)/z*(-16)/(-2) and 6.
78
Let d(t) = 4*t**2 - 40*t + 5. What is the least common multiple of 55 and d(10)?
55
Let y(f) = 4*f - 7. Let m(g) = -9*g + 15. Let z(l) = -3*m(l) - 7*y(l). Calculate the lowest common multiple of 11 and z(3).
11
Let c = 259749287 - 321829336658/1239. Let j = c - -5/826. Calculate the common denominator of j and -23/6.
6
Let t = 5 + -8. Let n = -1 - t. Suppose 0*q = -n*q + 10. Calculate the smallest common multiple of q and 5.
5
Suppose 4 = 2*z - z. Suppose p = -2*t + t - 11, -p = z*t + 8. What is the least common multiple of 2 and (5/15)/((-2)/p)?
2
Let x(v) = 10*v**3 + v**2 - v - 1. Let o = 3180 - 19121/6. Calculate the common denominator of o and x(-1).
6
Find the common denominator of (57442/1050)/11 - 1*4 and 55/3.
75
Let t be 6/(-2) + 2 + 145. Suppose 3*q - 97 = q - 3*j, 3*q - t = -4*j. What is the common denominator of -3*1 - q/16 and -59/9?
36
Suppose 3*n - 42 + 12 = 3*j, 2*j = 3*n - 35. Let q(p) = p**3 - 15*p**2 + p - 11. Calculate the smallest common multiple of 6 and q(n).
12
Suppose g = -4*z + 21, 0*g + 25 = 5*g. Suppose -14*p - 5*p = -266. What is the smallest common multiple of z and p?
28
Suppose -1 + 5 = u. Let n(z) = 1 - 35 + 62 + 2*z. Calculate the smallest common multiple of n(-12) and u.
4
Suppose 5*h - 3*h - 16 = -2*r, -2*r + 11 = h. Suppose -r*t + 8 + 10 = 0. Let i(j) = -j**2 + 38*j - 354. Calculate the smallest common multiple of t and i(17).
6
Let p = 166039/22 - 7545. Let o = -4376243/7656 + 13/696. Let i = o + 572. Find the common denominator of i and p.
22
Let j(g) = g**3 + 22*g**2 + 28*g + 116. What is the common denominator of (2 - 420/153)/(-2) and j(-21)?
51
Let z = 22 - 10. Suppose 5*w - 40 = 3*w. What is the least common multiple of z and w?
60
Let g = 59/552282 - -2981840971/202135212. Let d = g + -1/549. Let i = 491/7 - 69. Calculate the common denominator of d and i.
28
Calculate the least common multiple of 18/99 - 2764/(-44) and 28.
252
Suppose 4*g + 3*t - 7 = 0, -t = -0*g + 4*g - 5. What is the common denominator of 590/(-105) - g*(-6)/2 and -59/9?
63
Calculate the common denominator of (106/(-12))/(-1) - 104/26 and 55/54.
54
Let f(b) = 8*b - 4. Let j(i) = -i + 1. Let s(n) = f(n) + 5*j(n). Calc