i + 7*i. What is the lowest common multiple of r(k) and 22?
198
Suppose -2*w + 2*w = -6*w. Calculate the least common multiple of 2 and (w - -1)/((-22)/(-44)).
2
Let a = 36047/84 + -2966/7. What is the common denominator of a and 79/21?
84
Suppose 0 = -3*h - 4*l + 490, -5*h = 4*l - 0*l - 814. What is the lowest common multiple of 54 and h?
162
Suppose 0 = -2*t - t + 144. Suppose 0*l = l - 18. What is the least common multiple of l and t?
144
Suppose -5*b + 2*w = -0*b - 135, 0 = 2*b + 3*w - 54. Calculate the lowest common multiple of 267 and b.
2403
Let q = -155 + 166. What is the lowest common multiple of 2 and q?
22
Let b = -19 - -35. Suppose 3*s + r = 340, 13*r = s + 11*r - 104. What is the smallest common multiple of b and s?
112
Calculate the common denominator of (-238)/(-20) - (54 - 50) and -11/130.
130
Let j be (-2 - (-28)/7)*1*2. What is the least common multiple of 8 and 4 + 9 - 4/j?
24
Suppose 7*k = 10*k. Suppose 0 = u - k*u - 10. Let m = 82 + -74. Calculate the lowest common multiple of u and m.
40
Calculate the smallest common multiple of -7 - -3 - 1 - -11 and 28.
84
Let f(w) = -w**3 + 7*w**2 + 2*w + 7. Let s be f(6). Suppose r - 99 = s. Find the common denominator of r/(-160) + 3/(-5) and -47/4.
16
Let d = 5 + -1. Suppose -4*u = -5*o + 68, -o = -d*o + 4*u + 44. Calculate the smallest common multiple of o and (-13)/(-26) + 15/2.
24
Let l = 19 + -11. What is the common denominator of ((-15)/(-16))/((-1)/12) and (342/l)/9 - -1?
4
Let o = 1 - -4. Suppose 0 = -g + o*y + 22, -y - y - 110 = -5*g. Let s(h) = h**2 + 4*h - 6. Calculate the smallest common multiple of g and s(-6).
66
Let u = 5341/562 - 1/281. What is the common denominator of u and (-102)/16 - (-2)/(-4)?
8
Let z be ((-11)/33)/((-2)/(-102)). Find the common denominator of (z/(-5))/(42/15) and 143/12.
84
Let q = 65880 - 8300819/126. What is the common denominator of -29 and q?
126
Let k = -115/17 + 2183/187. Suppose -5*j + 15 = 0, -4*j - 15826 = 3*l + 1355. Let o = 51643/9 + l. What is the common denominator of o and k?
99
Let n(x) = 7*x - 2. Let r be n(1). What is the common denominator of (1/r)/(6/1455) and -89/14?
14
Let h = 1/4947 - -232495/69258. What is the common denominator of -93/586 and h?
4102
Let x be (-3 + 4)/(2 - (-380)/(-192)). Suppose 15*y = 7*y + x. What is the lowest common multiple of y and 5?
30
Let m = -62 + 61. What is the smallest common multiple of (6 + m)*13/((-130)/(-28)) and 14?
14
Let i(d) = 2*d**3 - 62*d**2 + d + 14. Calculate the least common multiple of i(31) and 20.
180
Suppose -4*h = 5*v + 117 + 143, h - v + 74 = 0. Let a = -69 - h. Calculate the lowest common multiple of a and 9.
9
Calculate the least common multiple of 3 and 29/((-58)/(-3000)) + 0 + 0.
1500
Let z(w) = -4*w + 6. Let t(l) = 2*l + 12. Let v be t(-9). Let d be (-1 - v - 1)/(-1). Calculate the smallest common multiple of z(d) and 12.
132
Let u(z) = -5*z + 18. Let d(w) = 14*w - 53. Let l(y) = -4*d(y) - 11*u(y). What is the smallest common multiple of 13 and l(7)?
91
What is the common denominator of (4/18)/((-40)/(-213)) and 61/35?
420
Find the common denominator of 2/(-4)*(-1232)/(-550) and 37/35.
175
Let m = 1392 - 2733/2. Suppose 3*r + 3*w + 16 = -14, 0 = -5*r - w - 34. What is the common denominator of 488/r*(-2)/96 and m?
36
Suppose -v + 7 = -0. Let k = 13 + v. Let x = k + -12. Calculate the smallest common multiple of x and 7.
56
Let y = -38 - -55. Suppose y*b - 6*b - 66 = 0. Calculate the smallest common multiple of 33 and b.
66
Suppose -5*y = -3*y. Find the common denominator of -1 - (-7)/8 - y and 1385/100 - 2/(-5).
8
What is the common denominator of 71/9 and (-506)/516 - (-15)/90?
387
Let t = 159 - 141. Calculate the smallest common multiple of 30 and t.
90
Let k = -1444/105 + 41/3. What is the common denominator of -23/63 and k?
315
Let q = 2591/186 + -34/31. Find the common denominator of q and -67/48.
48
Suppose -2*j + 29351 = 5*r, 5*r - 2932 = j - 17630. Let a = -293573/20 + j. Calculate the common denominator of ((-19)/2)/(1 - 12) and a.
220
Let o = 72/107 - -10021/214. Calculate the common denominator of o and 79/62.
62
Suppose -4*f = -7*f + 36. Suppose 4*o - 5*o = -3*x - f, -5*x = -o + 18. Suppose o*q - 7*q = -40. What is the smallest common multiple of q and 8?
40
Suppose u - 29 = -1. Calculate the lowest common multiple of 2 and (37/(-2))/(u/(-56)).
74
Let h(n) = 2*n + 4. Let q be h(-12). Let p be 1/(-43)*70/q. Let a = p + 3813/172. Find the common denominator of a and 26/7.
28
What is the lowest common multiple of 165 and (-2772)/(-441) + 2/(-7)?
330
Let s(f) = -f**3 - 10*f**2 + 10*f - 12. Let i be s(-11). What is the common denominator of -10/17 and 54/33 - (-2 + i)?
187
Suppose 82 = 7*s - 5*s. Calculate the common denominator of (-38)/(-4)*10/8 and s.
8
Suppose -29 = -3*g - 8. Suppose 284 = 15*z - 991. Let i = z - 74. Calculate the lowest common multiple of g and i.
77
Let o = 403 + -4077/10. Let x = -5015/6 - -841. What is the common denominator of o and x?
30
Let w = 2 + 0. Suppose 2*s + 0*s = -106. Let z = s - -64. Calculate the least common multiple of z and w.
22
Let o(f) = -f**3 + 4*f**2 + f + 16. What is the least common multiple of o(0) and 48?
48
Let s(g) = 28*g**2 + 14*g - 12. Let k be s(6). Calculate the common denominator of 26/3 and 4/(-30) - 7281/k.
24
Suppose -4*o = 28 - 12. Let r be 75/3 + (-16)/o. Suppose -r = -6*q + 31. What is the smallest common multiple of 12 and q?
60
Let y = 245806/35 - 34003/5. Let q = -222 + y. Calculate the common denominator of -11/5 and q.
35
Find the common denominator of 7/50 and -1 - -12*15/(-400).
100
Let i = 832 + -12508/15. What is the common denominator of 117/20 and i?
60
Suppose -3*r - v = -6, v = 4*v. Suppose 0 = -4*f + 20, 0 = 3*c - 2*f - 0 - r. Calculate the smallest common multiple of (-50)/(-4) + 1/(-2) and c.
12
Let c(t) = -2*t**2 + 0*t + 5*t - 10*t**3 - 4*t + 6*t**3. Suppose -j + 10 = -6*j. What is the smallest common multiple of 16 and c(j)?
176
Let o = -436 - -2204/5. Let w = o - 331/70. What is the common denominator of -67/20 and w?
140
Suppose -z + 6*z + 10 = 0. What is the common denominator of 171/z*4/(-12) and (-2 + 1 - 2)*663/340?
20
What is the common denominator of 49/10 and (102/(-80))/((-3)/15)?
40
Calculate the common denominator of -37/8 and 542/(-432) + 141/376.
216
What is the lowest common multiple of -26 + (-1045)/(-38) - 2/(-4) and 2?
2
Suppose 26 = 12*h + h. Suppose -o = -a + 22, 6*o - 2*o - h = -a. What is the lowest common multiple of a and 18?
18
Let z = -85 - -139. What is the lowest common multiple of (4/(-10))/(1/(-15)) and z?
54
Let z = -409221/10 + 40930. Let i = -29/47 - 4443/188. What is the common denominator of i and z?
20
Suppose 0 = -25*l + 21*l + 100. Suppose 3*z = -68 + 26. Let r = z + l. Calculate the lowest common multiple of 1 and r.
11
Calculate the least common multiple of 4 and (-13)/(117/17358)*9/(-6).
11572
Let q(n) = -3*n + 18. Let u be q(-25). What is the common denominator of 85/16 and 3/6 - u/12?
16
Let f(p) = p**3 - 6*p**2 + 13*p - 12. What is the smallest common multiple of 3 and f(6)?
66
Suppose -m - 2*o + 3*o = -2, -2*o + 24 = 5*m. Calculate the smallest common multiple of 6 and (-32)/(-12)*30/m.
60
Let g = -53 - -85. Calculate the least common multiple of g and 72.
288
Suppose f + 16 = 2*c, 0 = -5*c + 2*f + 63 - 25. Let y = 8 + -4. Calculate the lowest common multiple of y and c.
12
Suppose -5*q + 7*q = -6. What is the common denominator of 393/(-18) + 2/q and (-3 - (-321)/(-36)) + (3 - -1)?
12
What is the common denominator of 116/1218 + 2033/924 and 8/55?
220
What is the least common multiple of 169 - (-25 + 29)/((-2)/3) and 7?
175
What is the common denominator of -29/210 and (357/336*-12)/((-55)/4)?
2310
Find the common denominator of 1 - (-973)/280 - 4 and -87/8.
40
Suppose 1473 = 8*c - 1215. What is the lowest common multiple of 27 and c?
3024
Let m = -124 + 1377/11. Let t = 35503022/11 - 3225431. Let y = t + -2118. Find the common denominator of y and m.
11
Calculate the common denominator of (-4)/((-400)/356)*(-10)/8 and -67/35.
140
Let b = 6159/508 - -16/127. Find the common denominator of -7/53 and b.
212
Suppose -2*k = -2*g - 9 - 51, 135 = 5*k - 2*g. What is the lowest common multiple of k and 25?
25
Suppose -c + 8 = -2*c. Suppose