238
Suppose -49 = -12*a - 769. Let v = 41 + a. Let k = v + 37. What is the smallest common multiple of 39 and k?
234
Let h(x) = x**3 - 2*x**2 - 15*x. Let o be h(5). Suppose 28*l - 39*l + 605 = o. Calculate the lowest common multiple of l and 121.
605
Calculate the lowest common multiple of (27 + -12)*8/6 and 52.
260
Let l = 434 + -437. What is the common denominator of -41/7 and (-5 - -5 - l) + 163/(-63)?
63
Let t(s) = -22*s**2 + 72*s - 150. Let z(g) = -7*g**2 + 24*g - 50. Let j(q) = -5*t(q) + 16*z(q). Calculate the smallest common multiple of 56 and j(7).
280
Let j = -62 - -67. Suppose -j*p - 6006 = -47*p. Calculate the smallest common multiple of p and 52.
572
Let f = -194/9 - -2395/18. Let i = 79 - f. What is the common denominator of 85/2 and i?
2
Let p(g) = 9*g**2 - 8*g + 8. What is the smallest common multiple of 65 and p(-5)?
1365
Let v be 26/91 + (-3500353)/(-210) - -5. Let a = 16672 - v. Calculate the common denominator of a and ((-10)/(-15))/((-6)/31).
90
Let u(g) = -6*g - 54. Let x be u(-10). Suppose h - 3*t = x, 0*h - 3*h - 5*t + 4 = 0. What is the smallest common multiple of 27 and h?
27
Let j = -2898/17 + 44252/255. Calculate the common denominator of 62/879 and j.
4395
Suppose 4*y - 5*y = 3*w - 98, -w + 36 = 2*y. Suppose -23*f + w = -19*f. Calculate the smallest common multiple of 10 and f.
40
Let n = -4/7297 + 6851891/14594. Let c = 9845/21 - n. What is the common denominator of c and -47/8?
168
Suppose 0 = v + 4*a - 216, 2*a + 215 = -3*v + 803. Calculate the least common multiple of 48 and v.
192
Let d = 59519/14 - 4246. Find the common denominator of d and 300/88 + (1 - (0 + 0)).
154
Let a = 119067/324275 + 7/2725. Calculate the common denominator of -41/798 and a.
13566
Let k = -43 - -45. Suppose g = k*l - 6, 5*l - 4*g - 30 = -9*g. What is the smallest common multiple of 24 and l?
24
Suppose 0 = -y - 9 + 3. Calculate the common denominator of 1659/270 - y/(-30) and (11/(4*(-2)/(-56)))/(-18).
18
Suppose a + 34406 = -647. Let l = -841411/24 - a. Calculate the common denominator of l and 0 - (1 + (-119)/45).
360
Let n = -32 - -36. Find the common denominator of 2 - (n + 76/(-22)) and (-150)/(-33) - (0 - 0).
11
Let j = 599 - 579. Suppose 2*a = -2*l + j, 2*l - 3*a = l - 10. What is the least common multiple of l and 136?
680
Find the common denominator of -139/6 and ((-77)/84 - -1) + ((-1610)/(-4936))/(-7).
3702
Let l = 13 + -44. What is the common denominator of (-7)/(63/927)*(-6)/((-900)/5) and l?
30
Let w be (-47175)/(-12) + 4/(-16). Let u = w - 43209/11. What is the common denominator of 13/40 and u?
440
Let r = -27/278 - 9458/2085. Let i = 9147/8 - 1143679/1000. What is the common denominator of r and i?
750
Let t be (-6952)/(-77) - (-14)/(-49). Suppose 2*g - 5*g = -q + 27, 2*g - 66 = -4*q. Suppose -t = -4*o - q. Calculate the smallest common multiple of 8 and o.
72
Let y = 49160/887 - 122558411/2976772. Let a = y + -1/839. What is the common denominator of 95/194 and a?
388
Suppose -3*n - 54 = -3*q, 3*n + 10 + 24 = 2*q. What is the lowest common multiple of 1680 and q?
1680
Suppose -6*h + 12*h - 90 = 0. Calculate the lowest common multiple of -396*(-5 + 70/h) and 36.
396
Suppose 15*x = 22*x - 7. Let a be x/(((-21)/6)/(-7)). Suppose 2*r + a = 2*q, 0 = 5*q - 2*r + 6 - 23. Calculate the lowest common multiple of q and 6.
30
Let o(p) = -5*p**2 + 48*p - 44. Let v(s) = 2*s**2 - 24*s + 22. Let q(k) = -4*o(k) - 9*v(k). What is the smallest common multiple of q(-13) and 36?
36
Suppose u - u = -u. Suppose -4*o + 259 + 81 = -4*h, 3*h - 9 = u. What is the smallest common multiple of o and 24?
264
Find the common denominator of -9/2066 and -1 + ((-10)/85 - (-1333)/204).
12396
Let x = 1527380513/99 + -15428414. Let y = 2969/9 + x. Let d = 6406 - 211414/33. Calculate the common denominator of y and d.
33
Let i(z) = 4 - 14 - 6*z**2 + 2*z**2 + 3*z - 7 + 5*z**2. Suppose 0 = 2*k - 5*s + 34, -7 + 55 = -4*k + 5*s. What is the smallest common multiple of 4 and i(k)?
44
Suppose 2*b - 4*r + 16 = 0, -5*b + 10 = -7*b - 2*r. Calculate the common denominator of -73/20 and (4 - (-77)/42) + b.
60
Let t be 60/9 - 16/(-12). Suppose k - t = -3*w, 4*k + 3*w = 2*w + 32. Let j = 32 + -21. Calculate the smallest common multiple of k and j.
88
Let p(f) = 26*f - 435. Calculate the smallest common multiple of 5 and p(17).
35
Let z = -563 - -2829/5. Let x = -199791/4 - -50561. Let f = 593 - x. Find the common denominator of f and z.
20
What is the common denominator of (2756/273 - 9 - 1) + (-166)/(-6048) and 43/72?
432
What is the lowest common multiple of 8323/551 - 4/38 and 2/5 - (-4 - (-256)/(-10))?
30
Let v = -475 + 15679/33. Let f(y) = -y**2 + 10*y + 24. Let c be f(7). Find the common denominator of (6 + -1)/c*-58 and v.
99
Let k(w) = w**3 - 16*w**2 + 8*w - 36. Let s be k(16). Let g = s - 86. What is the least common multiple of (18/4)/((-1)/(-2)) and g?
18
Let c = -52401/22 - -2380. Find the common denominator of c and (3100/496)/((-292)/(-24)).
1606
Let a = 88 + -75. Suppose 24 = 16*c - a*c + 2*g, 5*c - g = 53. What is the smallest common multiple of c and 48?
240
Suppose -7*b + 0*b = 1175 - 3233. Calculate the smallest common multiple of b and 52.
7644
Let d = -216 + 196. Find the common denominator of 3/10 and (376/d)/(64/(-40)).
20
Suppose -4*u - 5*z = -1277, -4*u + 928 = 3*z - 355. Let d = 327 - u. What is the smallest common multiple of 22 and d?
44
Calculate the common denominator of (-8)/(240/(-246)) + -14 and 35/233.
1165
Let n = 392725583/594 + -661154. Calculate the common denominator of 23/7458 and n.
67122
Calculate the common denominator of -66 + 72 - (57/(-12))/(86/(-102)) and (1/12)/(3*66/5454).
1892
Suppose 5*s - 4*h = 233, -s + h + 35 = 6*h. Suppose m = 5*t - 12 + 30, -t - 2*m = 8. Calculate the lowest common multiple of s and 112/8 + (2 + t - -6).
90
Let l(p) = -p**3 - 22*p**2 - 22*p + 30. Let r be l(-18). Let u = -13081/15 - r. Let y = 1/6028 - -382775/18084. Calculate the common denominator of u and y.
30
Let x(m) = 9 - 2*m**2 + 6*m + 7*m**2 - m**2 - m**2. Let s = -211 + 206. What is the lowest common multiple of 15 and x(s)?
270
Suppose -7*t = -57 - 125. Calculate the common denominator of 57*((-75)/(-10))/(-15) and ((-13)/t)/(18/(-272)).
18
Let o = 327 - 1333/4. Suppose -3*m + 5*u = 200, 3*m = -0*m - 5*u - 190. Calculate the common denominator of o and m/10*7/(-4).
8
Suppose -885*h + 270 = -879*h. What is the least common multiple of 3 and 10/h + (-2904)/(-54)?
54
Let h(z) = 7*z**2 - 24 - 12*z**2 + z + 9*z**2. What is the lowest common multiple of 10 and h(-4)?
180
Suppose -7*s + 20 + 36 = 0. Let f(t) = -s + t - t**3 - 6 - 2 - 5*t**2 - t**2. Calculate the least common multiple of 4 and f(-7).
52
Let c = -13626 + 531356/39. What is the common denominator of (20/(-370) - (-52630)/22200) + 0/6 and c?
780
Let n = 6513/5 - 1291. Let m = -6871127/5937890 + 2/84827. Calculate the common denominator of n and m.
70
Suppose 5*j = -52*b + 50*b + 690, 3*j + 18 = 0. Calculate the least common multiple of b and 420.
2520
Suppose -3*x + 3*k - 39 + 147 = 0, -152 = -5*x - 2*k. Calculate the lowest common multiple of x and (11 - 14) + -8 - -35.
96
Suppose 3*k = -3, -3*d + 627 = 60*k - 63*k. What is the smallest common multiple of d and 78?
624
Find the common denominator of 1394/(-60) - (-570)/(-950) and -65/48.
48
Let i = 6040 - 72569/12. What is the common denominator of i and -77/262?
1572
Let c = -2175 + 45638/21. Let q = -479/17 - -6029/255. Find the common denominator of c and q.
105
Suppose 0 = -19*j + 120 - 25. Suppose 21 = -t + 5*m, -3*m - 5 = j*t - 8*m. Calculate the least common multiple of t and 2.
4
Suppose 4*d - 4*n + 20 = 6*d, -5*d - 5 = -n. Suppose -4*o - o - 120 = d. Find the common denominator of 3115/(-84)*(-59)/(-295) and o.
12
Suppose 0 = 3*w - 5*x - 2303, -2*w + 5*w - 2293 = -5*x. Suppose -w - 1044 = 5*f. What is the common denominator of f/152 + -5 + 114/24 and 11/2?
38
Let v = 10521785/10894 - 12556/13. Find the common denominator of 95/8 and v.
3352
Let x = -6419 - -7095. What is the smallest common multiple of 12 and x?
2028
Suppose -7*n + 164998 = -1994. Let y = n + -5749277/241. Let x = y - 8333/4820. Calculate the common denominator of -53/20 and x.
20
Let z = 1013/1190 - 42/85. What is the common denominator of -99/225