7.
1085
Let w be 153571/(-150) + (-14 - -6)/(-48). Let n = w - -1025. What is the common denominator of -71/30 and n?
150
Suppose -3*v = 3256 + 452. Let b = -317 - v. Let a = -1935/2 + b. What is the common denominator of a and -121/10?
10
Let p = -215 - -273. Calculate the common denominator of -49/4 and -3*(-2 - p/4).
4
Suppose 5*x = 15, 5*g + 3*x - 175 - 189 = 0. Suppose g = 10*p + 11. What is the smallest common multiple of 6 + p + 4*1 and 14?
112
Let j = -10999/240 - -809/16. Let l = -1779/5 - -5527/15. What is the common denominator of j and l?
15
Let m(x) = -4*x**2 - 21*x - 6. Let z be m(-5). Find the common denominator of 2/81 and ((-553)/504)/(z + -1).
1296
Let u = 33 - 126. Let d = u + 103. Calculate the lowest common multiple of 3 and d.
30
Suppose 1674 = 317*y - 286*y. What is the smallest common multiple of y and 243?
486
Let m = 1576 + -17317/11. Calculate the common denominator of 129/18*(-27)/(-45) and m.
110
Let r be (3*99555/18)/(-414). Let x = 879/23 + r. Find the common denominator of x and 43/63.
252
Suppose -c + 8 = c. Suppose c*q = -155 + 139. Find the common denominator of -21 and 1080/(-350) + q/(-14).
5
Let l = 99717615889/150612 - 243939428/489. Let i = l - 163229. What is the common denominator of i and -65/8?
616
Let m(a) = a**3 + 24*a**2 - 26*a - 19. Let v be m(-25). Suppose v*q - 5*q - 170 = 0. Let b = 6 - -2. What is the lowest common multiple of b and q?
680
Let p(y) = 3*y**2 + 66*y + 39. Calculate the smallest common multiple of (-44)/(-3) + (-28)/(-21) and p(-23).
432
Let u = 14087 - 4097. What is the lowest common multiple of 20 and u?
19980
Suppose 3*d + 217 + 68 = -5*j, 75 = -d + 5*j. Let g = d - -92. Suppose 3*w - 2*w - 11 = -g*r, -2*w + 29 = -3*r. What is the least common multiple of 9 and w?
117
Let g = 11395 - 11314. What is the lowest common multiple of 75 and g?
2025
Let m = 239/9 - -376/9. Let i = -449/6 + m. What is the common denominator of (940/(-200))/(-1)*1 and i?
10
Let o = -398575 + 398653. Calculate the least common multiple of 32*((-2)/8 - -1) and o.
312
Suppose -20*d = 530 - 4870. What is the least common multiple of 70 and d?
2170
Suppose -23*k + 12126 = 2443. Calculate the lowest common multiple of k and 48.
20208
Let k be (-597902)/(-40) - (-23 - -21). Let o = -14954 + k. What is the common denominator of o and ((-1443)/(-260))/(6/(-5))?
40
Let h = 51 - -29. What is the common denominator of 3/10 and 1*-4 - (3 - (-56)/h)?
10
Suppose 4*h - 4*x - 128 = -x, 0 = -2*h + 3*x + 64. Let f = 11296 + -11260. What is the smallest common multiple of f and h?
288
Suppose -f - 4*z - 37015 + 8195 = 0, 3*f + 3*z = -86424. Let l be -2 - f/3906 - (-6)/(-27). Let g = l + -18/31. Calculate the common denominator of 99/2 and g.
14
Suppose 2*m + m - 15 = -5*k, -5*k = -m - 15. Let q be ((-2)/(-5))/(70/525). Calculate the common denominator of -75/2 and ((-366)/(-48))/(k/6*q).
12
Let u(v) = 28*v + 57. Suppose -2*z + 0*z = -44. Let m = -14 + z. Calculate the lowest common multiple of m and u(-2).
8
Let w(p) = 1043*p + 417. What is the smallest common multiple of 18 and w(3)?
3546
Let f = 4999 + -4995. What is the smallest common multiple of 367 and f?
1468
Suppose -5*u - 27*u = -13*u - 6194. Suppose -40 = -5*a - 20. Calculate the lowest common multiple of u and a.
652
Suppose 0*i + 5*i - 10 = 0. Let m be i*13/4 + (-14)/(-28). Calculate the common denominator of 47/16 and (-10)/(-385)*m + (-122)/(-176).
16
Let i = 33051 + -32987. Calculate the smallest common multiple of i and 134.
4288
Suppose -187398 = -3*i - 30294. Let l = i + -4817917/92. Find the common denominator of l and 67/9.
828
Calculate the common denominator of ((-42)/(-315))/((-1804)/26240) and 1348/(-210) + (-4)/(-14).
165
Let i be (-100)/(-6)*(-6)/(-5). Let l be 32/i + (-6)/(-15). What is the smallest common multiple of 8 + -5 - (-122)/l and 6?
192
Let m(c) = -c**3 + 10*c**2 - 8*c - 7. Let u be m(9). Suppose 0 = u*k - 3 + 1. Let p(t) = t + 8. What is the lowest common multiple of k and p(5)?
13
Let l = -8514 + 8912. Calculate the least common multiple of 30 and l.
5970
Suppose -10*j + 59154 + 51924 = 89*j. What is the least common multiple of 935 and j?
5610
Let l(k) = -k**3 - 12*k**2 - 2*k + 32. Let i be l(-12). Suppose 5*f + i = 9*f. What is the least common multiple of 62 and f?
434
Suppose -s + 3 = 3*n, -5*n + 162*s + 4 = 164*s. Calculate the lowest common multiple of 3 and n.
6
Let a = -5728 + 8924. What is the smallest common multiple of a and 136?
6392
Suppose 381 = -6*v + 495. Suppose 2*a - 5*t = 18, -3*t = -2*a + 7*a - 14. Calculate the least common multiple of a and v.
76
Find the common denominator of -61/1118 and (((-82)/(-3))/(184/(-414)))/5.
5590
Let s = 3 + 7. Let c(v) be the second derivative of -v**4/12 + 5*v**3/2 + 17*v**2 + 18*v. Calculate the smallest common multiple of s and c(15).
170
Let h(w) = 4*w + 5. Let i be (-3)/2*((-320)/12)/10. Suppose -5*x = j - 2*j - 3, 4*j - i = 4*x. What is the least common multiple of x and h(5)?
25
Let o = -8620 + 9511. What is the lowest common multiple of 891 and o?
891
What is the smallest common multiple of (12/10*1)/((13 - -2)/600) and 279?
4464
Let u be (1 + 10213)*(-26)/(-1232). Let d = u - 1445/44. Let g = 7687/42 - d. What is the common denominator of -97/2 and g?
42
Let n(a) = 12*a + 23. Let b be n(-9). Calculate the common denominator of 8 + 10*b/40 and -47/10.
20
Find the common denominator of -1*(-3 - 4836/(-1896)) and 85/28.
2212
Let s be (19 - -1)*(-8)/(-10)*-17. Let c = s - -119. Calculate the least common multiple of 18 and c/6*24/(-18).
306
Calculate the common denominator of 51/284 and (0 + (-7110)/710 - -10)*(-34)/(-30).
4260
Let i = 14191 + -13087. What is the smallest common multiple of 2208 and i?
2208
Let n be 59778/(-45984) - 7/((-14)/12). Let m = n - 6/479. Find the common denominator of m and -125/258.
2064
Let k = 2225 + -2215. Let n = 27 - 26. What is the lowest common multiple of n and k?
10
Suppose 5277*c = 5012*c + 1590. Suppose g + 55 = -2*r - r, 77 = -5*r + 2*g. Let o = 25 + r. Calculate the lowest common multiple of c and o.
24
Suppose -31*t - 70*t = -808. Calculate the smallest common multiple of 460 and t.
920
Suppose -g + 12 = -3. Suppose 11*d + 8 = g*d. Suppose -d*f = 5*h - 112, 2*h = -0*h + 5*f + 39. What is the lowest common multiple of h and 1?
22
What is the common denominator of -91/528 and (-14)/35*(-75715)/3648 - 8?
1056
Find the common denominator of 45/59 and (1 + 758/(-764))*284/213.
11269
Suppose 30*s - 19*s = 11. Find the common denominator of -3/62 and s/(-4)*87/(-36)*-3.
496
Suppose -1 + 13 = 4*j. Suppose -18 = -17*p + 8*p. Suppose 2*c - 32 = -2*c - p*o, -5*c = -o - 26. What is the smallest common multiple of j and c?
6
Let p(v) be the third derivative of -v**6/120 + 7*v**5/30 + 53*v**4/24 - 8*v**3/3 - v**2 - 58. What is the lowest common multiple of p(17) and 8?
72
Suppose 10*d = d + 279. Let t = d - 28. Suppose -4 = t*s - 16. Calculate the smallest common multiple of 23 and s.
92
What is the lowest common multiple of (0 + -4 + (-96)/9)*21/(-14) and 2188?
24068
Let c = -2689/5 - -10341/20. What is the common denominator of -11/3714 and c?
7428
Let a = 2012171/48 + -41923. Find the common denominator of a and 2/2 + 195/54.
144
What is the common denominator of 47/1183 and (24 - 17 - (-290)/(-12)) + -2?
7098
Suppose -10 = -5*l + 45. Suppose -k + 10*b = 8*b + 2, -3*k = -4*b + 2. Calculate the least common multiple of k and l.
22
Let a(h) = -13*h**3 + 2*h**2 - 1. Let w be a(1). Let z = 26 - w. Calculate the common denominator of (2/8)/((-1548)/(-156) + -10) and z.
4
Suppose 4*m - 4*t - 23 = -7, 0 = 4*t + 12. What is the smallest common multiple of m and 42?
42
Let u(y) = -25*y - 7. Suppose -15*d + 6*d = -9. Let o be u(d). Let z = -24 - o. Calculate the lowest common multiple of 50 and z.
200
Suppose 22517 = -3*r + 2*r - 4*v, 112570 = -5*r - 5*v. Let n = r - -1215649/54. Calculate the common denominator of n and 44/9.
54
Suppose -5*p - 1137 = -27. Let t = p + 260. Calculate the least common multiple of 2 and t.
38
Suppose -3*v - 10 - 2 = 0, -2*o = -5*v - 30. Calculate the smallest common multiple of (-278)/(-20) + o/100*2 and 28.
28
Let x = 46 + -31. Let h = -518173/8 + 141259/2. Let u = -5866 + h. Find the common denominator of x and u.
8
C