.
40
Calculate the common denominator of (-358)/40 + 9/36 and -9/4.
20
Suppose 3*u + 15 = 2*v, 0 = 3*v + 4*u - 4 - 27. Suppose 5*g - v = 11. What is the lowest common multiple of 11 and g?
44
Let c(a) = -a**2 - a + 5. Let l(k) = k**2 + 11*k + 11. What is the lowest common multiple of l(-11) and c(0)?
55
Let d = 51 - 81. What is the common denominator of 42/56*58/(-27) and (-309)/d - (0 + 0)?
90
Let g(w) = 287*w - 9. Let k be g(4). Let i = k + -22771/20. Let f = -2937/116 - -147/29. What is the common denominator of i and f?
20
Suppose -2*d - j - 65 = 3*d, -5*j = -4*d - 52. Let t = 7 + d. Calculate the smallest common multiple of ((-28)/t)/(6/9) and 7.
7
Let a = 31 + -11. Suppose 4*t - 8*t + a = 0. Let j(s) = 2*s**2 - 6*s - 2. What is the lowest common multiple of j(t) and 4?
36
Suppose -10*r + 5*r + 236 = 4*h, -3*h - 4*r = -176. What is the smallest common multiple of h and 8?
64
Let v = -4 + 12. Suppose 3*k - 53 = -5*w, 27 = -3*k - 4*w + 76. Let q = -7 + k. Calculate the smallest common multiple of q and v.
8
Suppose 0 = -5*j - 3*h + 16672, j + 3*h - 4023 = -679. Let b = j - 20053/6. What is the common denominator of -85/12 and b?
12
Suppose u = 3*b - 39, -2*b + 5*u + 51 = b. What is the lowest common multiple of 12 and b?
12
Let r(t) = -t + 666. Let k be r(0). Let o = k + -475. Let y = o + -629/3. Find the common denominator of 49 and y.
3
Calculate the common denominator of 742/80 + (-6)/(-10) and -39/20.
40
Let u(c) = c**2 - c - 3. Let g be u(3). Suppose g*i = 7*i - 12. Suppose -2*b = 4*s + 110, 4*s + 68 = i*b - 37. Calculate the common denominator of 52/5 and s.
5
Let k be 1550882/140 + 2/10. Let a = k + -11083. Calculate the common denominator of -25/12 and a.
84
Suppose 1 = -3*h + 4. What is the least common multiple of h and 2?
2
Let c = -8 - -28. Let i(g) = -g**2 + 8. Let l be -1 + 2/(2 - 0). Calculate the lowest common multiple of c and i(l).
40
Let o be 12*(-3 + (-3)/(-4)). Let f be (-6)/o + 2/(-9). Suppose b - 4 = 2*b - 5*l, 4*b - 2*l - 38 = f. What is the smallest common multiple of b and 5?
55
Let p(f) = 3*f**2 + 6*f + 6. Calculate the smallest common multiple of p(-3) and 50.
150
Let i be -27*((-4)/3 - -1). Let v = 15 - i. What is the least common multiple of v and 18?
18
Suppose -4 = j + j, 3*m - 4*j - 23 = 0. Let x = -8 - -13. Suppose 0 = -p + m*u + 4 + 2, x*p - 56 = -u. What is the lowest common multiple of 4 and p?
44
Let j = -1/49164 + -1428827/86037. Let i = 407/42 + j. What is the common denominator of 63/22 and i?
132
Let k = 1134 - 11379/10. Find the common denominator of 27/14 and k.
70
Let t = 4393 - 57051/13. Let r = t - -755/26. Let f = 2051/390 - 6/65. Find the common denominator of r and f.
6
Let l = -13 - -29. Suppose 4 = 4*d - r + 3*r, -2*r = 2*d - 4. Suppose d = -14*u + 15*u - 8. What is the smallest common multiple of l and u?
16
Let q be ((-1)/(-3))/((-1)/(-6)). Suppose q*j = -j + 24. What is the least common multiple of j and 8?
8
Let b(r) = -r**3 - 5*r**2 + 1. Let o be b(-5). Find the common denominator of 4/o + (-279)/30 and (0 - -1)/((-16)/146).
40
Let l = 4/85 + -4683/170. Find the common denominator of 7/6 and l.
6
Let o(l) = 18*l**2 + 3*l + 3. Calculate the lowest common multiple of 11 and o(-1).
198
Let s = -145/14 - 61/35. Calculate the common denominator of 85/8 and s.
40
Let r be ((-1)/3 - 0)*3. Let o be -1*(1 - -2)*r. Suppose 0*d + 36 = o*d. Calculate the least common multiple of 14 and d.
84
Let p = -11 + 15. Let n(t) = 2*t**3 - 4*t**2 - 5*t - 1. Let a be n(p). Suppose 3 - a = -5*y. Calculate the least common multiple of y and 1.
8
What is the common denominator of 4/(-14) + 1836/448 and (-30)/8*(-4)/(-66)?
176
Let s = 14 - 9. Suppose 2*u = -r + 14, -r + 37 = s*u + r. Let o = u + -8. Calculate the least common multiple of o and 10.
10
Let q be (-1)/3 + 52/12. Suppose -a - q*v + 27 = 0, -2*a = -a + 3*v - 22. Let x = a + -5. What is the least common multiple of x and 20?
20
Suppose u + 0*v + 6 = -4*v, 12 = -4*v. Suppose -2*l + u = -5*l. Find the common denominator of -71/22 and 1/l + (-105)/33.
22
Let k(r) = -r**2 + 4*r + 7. Let s = -554 + 566. What is the smallest common multiple of s and k(5)?
12
Let w = 0 + 1. Let b = 4 + 2. Calculate the smallest common multiple of b and w.
6
Let r(d) be the first derivative of -d**2 - 4*d - 1. Suppose -2*n = -3 - 17. What is the smallest common multiple of r(-5) and n?
30
Let u = 12/17 - -411/68. Calculate the common denominator of u and 1/(-3) + 22/120.
20
Let t be (4/(-905))/((-638)/(-55)). Let n = 152205/41992 - t. What is the common denominator of n and -35/3?
24
Suppose -4*j = -r - 43, -5*j + j + 2*r = -46. Suppose 0 = 9*b - j*b + 8. Calculate the least common multiple of 14 and b.
56
Let q = 11 - 1. What is the lowest common multiple of 27 and q?
270
Suppose 0*i - 24 = i. What is the common denominator of (158/i)/((-11)/22) and 87/16?
48
Let i be (-15726)/8 - (-1)/(-4). Let d = i - -3843/2. Calculate the common denominator of 26/7 and d.
14
Suppose 4*t = 63 + 9. Let v = t + 2. Suppose 0*q = -2*q + 44. What is the least common multiple of v and q?
220
Let z = 2023/360 - -13/72. Let i(g) = 3*g**3 + 3*g**2 - 3*g + 3. Let w be i(-3). Calculate the common denominator of (-237)/w - 6/(-12) and z.
35
Suppose -3*s + 5*p + 13 = -5*s, -7 = 5*s + 4*p. What is the least common multiple of 9 and s?
9
Calculate the common denominator of (0 - 1)/(36/(-99)) and -19/5.
20
Suppose 5*b = -42 - 23. What is the common denominator of -79/4 and b?
4
Let g be (-48)/(-2452)*1/3. Let t = 18963/6130 + g. What is the common denominator of -43/10 and t?
10
Let z = 203/15 - 247/10. Let w be (-12)/265*5294/(-18). Let x = w - -4/265. What is the common denominator of z and x?
6
Suppose 0*w - 2*w + m + 6 = 0, w + m - 3 = 0. What is the common denominator of -107/14 and w/1*82/(-20)?
70
Let d be (-15)/(-3)*(-4)/(-5). Let t = 13 - d. Let f(c) = c**3 + 3*c**2 - 6*c - 1. What is the least common multiple of f(-4) and t?
63
Let n = 29 + -21. Suppose 2*f + 8 = -0*v + 2*v, -f + 2 = 5*v. Calculate the smallest common multiple of n and 0 + (2 - (v + -1)).
8
Let j(d) = d + 8. Calculate the smallest common multiple of 46 and j(2).
230
Let c = 14773/6 + -2485. Calculate the common denominator of c and -65/21.
42
Suppose -5*j + 36 = 4*d - d, 5*d + 3*j = 60. What is the smallest common multiple of d and 22?
132
Let h = 286/7 - 2671/70. Find the common denominator of h and -11/10.
10
Let k = -11399 - -228047/20. What is the common denominator of k and 55/14?
140
Let w(h) = h + 4. Let v be w(0). Calculate the least common multiple of v/18 - (-70)/9 and 11.
88
Let l = 4161 - -65. Let r = -29633/7 + l. Calculate the common denominator of ((-4)/7)/4 - 8437/182 and r.
14
What is the common denominator of (183 + -1)*(-5)/180 and 23/2?
18
Suppose -4*y = -5*u + 98, 3*y + 2 = 4*u - 76. Let z = 3/2 + u. Calculate the common denominator of -31/4 and z.
4
Let z = -2725/744 - 1/248. Let m = -27227/8 + 3410. Calculate the common denominator of z and m.
24
Suppose w + 4 = 3*w. Suppose -3*s + 0*s = -r - 3, w*s - r = 3. Calculate the least common multiple of 3 - -2 - (s + 0) and 6.
30
Suppose -u - 36 = -4*u. Let a(r) = 0*r**2 + 3*r - 5 - 4*r**2 - r**3 + 3. What is the smallest common multiple of u and a(-5)?
24
Let z = -13595/4626 - 30/257. Calculate the common denominator of -13/2 and z.
18
Let w(f) = -f**3 - 35*f**2 - 30*f + 148. Let h = 0 + 2. What is the lowest common multiple of h and w(-34)?
12
What is the common denominator of 1/10 and -1 + (-68)/(-8) - -1*2?
10
Suppose 6*o = 2*o + 3564. Let v = o - 8006/9. What is the common denominator of (-699)/(-108) - (-1)/(-4) and v?
9
Let u be (-2)/12*(-418)/(-7). Let l = u + 106235/10668. Let r = 1763/2540 + l. Calculate the common denominator of -20/11 and r.
110
Calculate the common denominator of ((-4)/24)/(11/129) and -67/18.
198
Suppose 2*i + 10 = 5*x, -14 = -2*i - 2*x + x. Calculate the smallest common multiple of 1 - (-1 - (2 + -3)) and i.
5
Let k(w) = 14*w**3 + 2*w**2 - 1. Let m be k(1). Suppose 4*d = m + 1. Calculate the lowest common multiple of 13 and d.
52
Suppose 3*w + 4*i = 5 + 45, 6 = w + 4*i. What is the least common multiple of 20 and w?
220
Calculate the lowest common multiple of 1*10 - (2 + -4) and (-195)/(-9) - 1/(-3).
132
Find the common denomi