r of -16/3 and y.
228
Suppose 0*p + 5*p - 120 = 0. Suppose -2*m + 7*m = -2*d + p, -4*m = 3*d - 29. Let f(k) = -10*k - 1. What is the least common multiple of f(-1) and d?
63
Suppose 3*u - g = 2*u + 61, 0 = -5*u - 4*g + 305. Let c = 79 - u. What is the smallest common multiple of 22 and c?
198
Let l = -2202 + 10951/5. Let c = 1/1361 - -134731/10888. What is the common denominator of c and l?
40
Let q = -10 - -12. Find the common denominator of 4/11 and (-6*(-12)/594)/(q/51).
11
Suppose 2*b = 5*z - 47, -37 = -5*b - 5*z - 172. Find the common denominator of 4/b + (-662)/(-1092) and -44/3.
42
Let m be (-1 + 1)/(4 + -3). Suppose m = 3*x - 0*x + 39. Let v = x - -24. What is the least common multiple of 11 and v?
11
Calculate the common denominator of (-24)/(-32)*-6*9 and (-90)/(-200)*15/(-8).
32
Calculate the common denominator of 41/12 and (-5)/450*-389 - (-12)/(-20).
36
Let z(x) = -x**2 + 33. Calculate the smallest common multiple of 92 and z(-5).
184
Suppose -5*q + 0*l - 2*l = -174, -2*q - 4*l = -60. What is the smallest common multiple of q and 9?
36
Let a = -59 - -42. Calculate the common denominator of a/12 - 12/16 and 17/8.
24
Suppose 5 + 1 = b. Let n be (-9 + -2)*(0 - 1). Let h = n - 0. What is the lowest common multiple of h and b?
66
Calculate the common denominator of (-1452)/1512 + (-4)/(-24) and 57/49.
441
Calculate the common denominator of -6 + ((-921)/(-180) - -1) and -7/30.
60
What is the common denominator of -3 + ((-5)/(-10) - (-54)/(-40)) and 31/68?
340
Suppose -4*y - 16 = 0, -5*p + p + 12 = 2*y. Let l = 10 - p. Suppose -5*m + 4*h = -36, -m - l*h = 2*m - 29. Calculate the least common multiple of m and 4.
8
Let x = 529/36 - 3479/180. Find the common denominator of -13/9 and x.
90
Suppose -8*u - 7841 = 4527. Let y = 3169/2 + u. What is the common denominator of 99/34 and y?
34
Let p(x) = 10*x**3 - 4*x**2 + 2*x. Let u be p(2). Suppose 15*k - 17*k + u = 0. What is the common denominator of ((-3)/(-10))/(6/k) and 77/18?
90
Suppose 3*m = -0*m - 15. What is the lowest common multiple of 16 and 3 + m + (6 - 2)?
16
Let w be -2 + (-16 - -13 - 239/(-33)). Let h = -4 + w. Calculate the common denominator of h and -34/21.
231
Let f(u) = 54*u**2. Calculate the smallest common multiple of f(1) and 24.
216
Let u(r) = r + 6. Let y = -127 + 127. Suppose -3*i + 5*i = 2*c + 26, y = -5*c - 10. What is the smallest common multiple of i and u(-3)?
33
Let c(p) = -344*p**2 - p - 3. Let a be c(3). Let y = a + 12509/4. Find the common denominator of ((-4 - 6) + 11)*-55*(-8)/(-30) and y.
12
What is the common denominator of -43/48 and ((-4)/(-28) - (-2)/(-7))*-37?
336
Let o = 1/1901 + 89339/15208. Let z = -610/41 - 78689/82. Let y = 948 + z. What is the common denominator of y and o?
8
Let z be 0/2 + (-24)/2. Let x = -10739 - -107497/10. Find the common denominator of 31/4 + 3/z and x.
10
Let v(r) = -6*r + 1. Let p be v(-1). Let u = -5 + p. What is the least common multiple of u and -1*(-1)/(-2) + (-63)/(-6)?
10
Let c = -85 + 81. What is the common denominator of -33/112 and ((-4)/(-4) + 13)/c?
112
Let r(s) = s**3 - 10*s**2 + 14*s - 43. Calculate the least common multiple of r(9) and 84.
84
Let a(p) = -p**3 + 9*p**2 + 8*p - 60. What is the smallest common multiple of 98 and a(9)?
588
Let r = 2098 + -2950. Calculate the lowest common multiple of 26 and (-6)/21 + r/(-42).
260
Let f = 260 + -220. Calculate the least common multiple of f and 20.
40
Let d(t) = -5*t**2 + 12*t + 8. Let v be d(14). Calculate the common denominator of v/9*(-3)/(-36) and 3.
9
Let m(g) be the third derivative of -g**6/120 + g**5/12 - g**4/24 - g**3/6 - 2*g**2. Let c = 2413 + -2404. What is the smallest common multiple of c and m(4)?
99
Let v = 185 + -155. What is the least common multiple of 282 and v?
1410
Let s be (-5)/5 + (-2)/1. Calculate the lowest common multiple of (-11 + (1 + s)/2)*-1 and 16.
48
Let k be (3/4)/((-2)/(-8)). Suppose -3*u + k*q = 0, 0*u - 2*q + 4 = -u. Suppose 3*h - 76 = 5*s, s = -s - 4. Calculate the lowest common multiple of u and h.
44
Let m(x) = x**2 + 4*x + 8. Let j be m(-10). Let y be ((-14)/(-16))/((-6)/j). Let d = y + 7. Find the common denominator of 47/10 and d.
60
Let y = -65 + 589/9. Let b be 6/(-4) + (-6)/4. Calculate the common denominator of y and (-231)/70 + (b - -2).
90
Let j be 2/(-6)*9/(-1). Suppose -j*w + 22 = -12*n + 14*n, -n = -3*w - 2. What is the least common multiple of n and 16?
16
Let p = -2888/9 + 5341/18. Let k(d) = -13*d - 1. Let o be k(1). Calculate the common denominator of p and 2/((-40)/13)*o.
30
Calculate the common denominator of 37/198 and 470/96 + 7 + (-205)/30.
1584
Let c = -3 + 7. Suppose -u - c*u = -5. Calculate the least common multiple of u and 5.
5
What is the common denominator of (4/(-6))/(8/(-558)) and ((-17466)/328)/(-3*-1*2)?
8
Let j = -110483/828 - -3030/23. What is the common denominator of 81/8 and j?
72
Let q = -1432 - -5637/4. Find the common denominator of q and (-1)/((17/(-1037))/(1/5)).
20
Calculate the common denominator of 127/1044 and 4008/(-616) - 4/(-11).
7308
Suppose -5*g = -4*d + 46, 2*g - 3*d = 2*d - 32. Find the common denominator of -3/8 and 115/10 - g/3.
8
Let z = 1/268 - 3767/4020. Find the common denominator of 3 - ((-16)/(-20) - 1) and z.
15
Suppose 10*n - 1078 = -148. Calculate the least common multiple of n and 6.
186
Let n(c) = 3*c**3 + 1. Let w be n(1). Suppose -8 = -w*b - 4. Let l(t) = 20*t**3 - t**2 + 1. What is the least common multiple of l(b) and 10?
20
Let j be (56/6)/((-6)/18). Let h(q) = 15*q + 3. Let a be h(-2). Let z = a - j. Calculate the least common multiple of z and 16.
16
Suppose -2*d = 5*m - 230, 4*d - 3*m - 328 = 158. What is the smallest common multiple of 336 and d?
1680
Let r = 14 - 11. Suppose -6 = o + 4*x + 4, -r*o + 22 = -x. What is the least common multiple of 8 and 42/4 + 3/o?
88
Suppose -19*t + 196 + 203 = 0. Calculate the least common multiple of 70 and t.
210
Let n = -1/452 + 1849/18532. Let v = -1469/492 - n. Find the common denominator of ((-30)/(-4))/(165/(-95)) and v.
132
Suppose 4 - 6 = -2*q. What is the smallest common multiple of 14*q + 10 + -14 and 10?
10
Suppose 5*q - 36 = -y, -5*y - 5*q + 272 = -3*q. Calculate the lowest common multiple of y and 14.
56
Let u(q) be the first derivative of q**4/4 + 8*q**3 - q**2/2 - 20*q - 9. What is the lowest common multiple of u(-24) and 30?
60
Let z(w) = w**3 - 6*w**2 + 10*w - 52. What is the smallest common multiple of 6 and z(6)?
24
What is the common denominator of 27/(510030/100)*52/(-16) and 87/2?
3778
Let n = -44 - -54. Calculate the common denominator of 129/(-28)*n/15 and 1413/30 - 4/(-10).
14
Calculate the common denominator of -12/143 and ((-406)/(-145))/(78/(-105)).
143
Let d(j) = j**2 + 4*j + 4. Let n(m) = m**2 + 5*m - 6. Let b be n(-6). Suppose -5*f + f - 16 = b. What is the smallest common multiple of d(f) and 11?
44
Let l = -853 + 1669/2. Find the common denominator of -7/2 and l.
2
Let p = 385 - 651. Find the common denominator of -101/2 and (5 - p/(-21))*3/4.
4
Suppose 4962 = 28*x + 34. What is the lowest common multiple of 176 and x?
176
Let r = -4998 + 30079/6. Let i = -52/5 - -1721/165. Find the common denominator of r and i.
66
Let u = -1704 + 1726. Calculate the least common multiple of u and 54.
594
Suppose 0*r - 76 = -2*r. What is the least common multiple of (-2)/(-11) + (-288)/132 + 8 and r?
114
Suppose 3*m - 124 = 158. Suppose -99*y = -m*y - 25. Calculate the least common multiple of y and 2.
10
Let g = 158/69 + 189/115. Calculate the common denominator of 43/54 and g.
270
Let w(z) be the first derivative of -2*z**3/3 - 9*z**2/2 + 7*z + 31. What is the smallest common multiple of 58 and w(-5)?
58
Suppose -212 = -3*w + 5*w + 2*n, 0 = -5*w + 4*n - 539. Let q = -83 - w. What is the lowest common multiple of q and 27?
216
Let m = 23191/8 + -2909. Let o be (10875/(-58))/((-17)/(-4)). Let v = o + 14711/340. Calculate the common denominator of v and m.
40
Let p = 20 + -8. Let k = -21416 + 21444. Calculate the lowest common multiple of k and p.
84
Calculate the least common multiple of 27 and -18*(20/(-6) - -3).
54
Let m = -19660/9 + 2179. Let u = 630592 + -5669288/9. Let n = 673 - u. Calculate the common denominator of n and m.
9
Let d = 108911/18 + -6046. Let j be (6 + -13)*3*5. Find the co