and z?
2022
Suppose -7*p + 5*x = -3350, -2*x + 604 = 4*p - 1286. What is the smallest common multiple of p and 200?
3800
Let s = 5479 + -65821/12. Let c = -13 + 25. What is the common denominator of s and (-121)/(-3)*c/(-80)?
60
Suppose -5*f - a + 23 = -5*a, f - 1 = 2*a. Suppose 2*s + 110 = 4*l, 2*l + 11*s - 60 = f*s. Calculate the least common multiple of l and 49.
196
Calculate the common denominator of 24/703 and ((-15)/30)/((-8)/94).
5624
Suppose 5*p - 3*b - 902 = 0, 4*p - 212 = -4*b + 484. Let g = p - 177. What is the lowest common multiple of 11 and g?
11
Let n = 174355/18 - 9689. Calculate the common denominator of n and 50/2061.
4122
Let f = -13035 - -9178. Let c = 38539/10 + f. What is the common denominator of c and 107/10?
10
Let w = -10089/4 - -60583/24. Calculate the common denominator of 87/92 and w.
552
Find the common denominator of -40 + 2370/60 - (1 + (-103)/52) and -85/26.
52
Suppose 6*k - 7 = -19. What is the smallest common multiple of 7 and (-464)/((-80)/(-10))*3/k?
609
Let l = 38560 + -38244. What is the smallest common multiple of l and 76?
6004
What is the lowest common multiple of -2 - -7 - (-85920)/96 and 9?
900
Suppose -3*v + 96*d - 3 = 97*d, 0 = -2*v + 10*d + 190. Let x = -9 - -85. Calculate the lowest common multiple of x and v.
380
Find the common denominator of 2/(720/(-561)) - 11/(550/20) and -32/3453.
27624
Suppose 0*m = -5*m + 2980. Let v be 0 + -1 + m/(-8)*-4. Suppose -2*t = -13*t + v. What is the smallest common multiple of 6 and t?
54
Let p be -46*(5 - 66/12). Let y = 11 - -7. What is the smallest common multiple of y and p + (-4 - -1) + -2?
18
Let p = 1/49105 + 6799/764635. Calculate the common denominator of -38/9265 and p.
64855
What is the common denominator of 81/54 + 1822/(-1296) and -71/4?
648
Let y(p) = -22*p + 304. Calculate the smallest common multiple of y(13) and 54.
54
Let k be (-208)/14 - (-5 + 0). Let d be 3334/378 - -2 - -1. Let a = d + k. Calculate the common denominator of a and 77/24.
216
Let x be (-5)/(-60)*-4 - (-284)/6. Let l = 7818/7 + -61837/56. What is the common denominator of l and ((-115)/x)/5*(1 + 0)?
376
Let b = 288032/7 - 255771527/6216. What is the common denominator of 109/6 and b?
888
Let g = -65983/9 - -239527/36. Let z = 680 + g. Calculate the common denominator of z and -65/6.
12
Let j(v) = -131 - 288 + 5*v + 81 - 15*v. Calculate the smallest common multiple of j(-36) and 92.
1012
Let h(s) be the second derivative of 7*s**4/3 + 2*s**3/3 - s**2 + 200*s. What is the lowest common multiple of h(1) and 50?
150
Let k(z) = 18*z - 84. Let l be k(-2). Calculate the common denominator of (2/11)/((-1472)/l - 12) and 76/99.
198
Let h = 32 - 31. What is the common denominator of -157/42 and 589/1953*-1*h?
126
Let g(j) = -12*j - 38. Let n be g(-3). What is the least common multiple of -5 - (27/n - -5)*2 and 8?
24
Suppose 5*c - 4*c + 370743 = -4*n, 0 = -3*n + 5*c - 278086. Let j = n - -10566175/114. What is the common denominator of 65/8 and j?
456
Find the common denominator of 89/105 and (-1048)/(-160)*(-5)/(-6).
840
Let k be -3 + (-4 + 1250/(-5))/2. Calculate the common denominator of 107/88 and k/715 + 2078/176.
88
Let q(s) = s**2 - 6*s - 2. Let t be q(6). Let i = 12 - t. Suppose 8*d - 11*d = -18. Calculate the lowest common multiple of d and i.
42
Suppose 840 = 31*l - 1020. Calculate the common denominator of 33/20 and ((-10)/(-75))/(l/(-1089)).
100
Suppose -3 = 3*u, 0 = -8*y + 4*y - 5*u + 1495. What is the least common multiple of y and 275?
4125
Let t = 62706 + -32356381/516. Calculate the common denominator of t and 143/72.
3096
What is the lowest common multiple of 183 and 4*(-3 - 3640/(-4) - (-12 - -4))?
3660
Let m = -379 + 235. Let o = m - -192. What is the lowest common multiple of 64 and o?
192
What is the least common multiple of 603 and -18*((-100)/3 - -11)?
1206
Suppose -1683 = -3*j - 1659. Let f = -18 + 34. Calculate the smallest common multiple of f and j.
16
Calculate the smallest common multiple of 9 and -1 - -744 - 832/104.
2205
Let a = 11078 + -11072. Suppose 0 = -2*q - 4*n + 42, -63 = 2*q - 4*q + 3*n. What is the smallest common multiple of a and q?
54
Let z(g) = 964*g + 2910. Calculate the lowest common multiple of 414 and z(-3).
414
Let b be (6/(-9))/((-2)/(-6)). Let n be -1 - b - (652 + -14). Let c = -4439/7 - n. What is the common denominator of c and 5/28?
28
Suppose -12 = -5*w + 33. Suppose 32*o = 29*o - 6. What is the least common multiple of 136/17 - 2/o*-1 and w?
63
Let w(r) = -r**2 - 6*r - 2. Let h be w(-4). Suppose -467*p + 2171 + 1383 + 3791 = -1061. Calculate the least common multiple of (-1)/(10/h + -2) and p.
18
Let x(n) = n**2 - 4*n + 1. Let w be x(3). Let h be 12/16*w*8/(-6). What is the common denominator of h/(-15) - 8638/(-3360) and -67/8?
16
Let r be 160/(2/(-1)*-1). What is the common denominator of 6/7 and ((-6)/(-5))/(18/r)?
21
Let a = 71031 - 213112/3. Let g be (-3)/(756180/(-3486854)) - 1. Let z = g + -2/21005. What is the common denominator of z and a?
6
Calculate the least common multiple of 49/(-98) + (-1206)/(-4) - 4 and 1836.
20196
Suppose -2*d = -4*h + 432 + 1112, 0 = 2*h + d - 764. Calculate the least common multiple of h and 464.
11136
Let q(k) = 12*k - 17913. Let g be q(0). Let x = 250891/14 + g. Find the common denominator of x and -53/16.
112
What is the common denominator of 63/25 and -2 - ((-3817)/(-4400) - 3)?
400
Let n(z) = -z**3 + 4*z**2 + 5*z - 10. Let k be n(4). Suppose 25 = k*w - 65. What is the lowest common multiple of w and 2*(-12)/(-2) - 3?
9
Suppose 5*i - 124*r + 125*r = 182, 0 = 3*i - 5*r - 98. Calculate the smallest common multiple of 1044 and i.
1044
Let w = 85947/98 + -877. Let h be (1 + 1131/72)/((-4116)/(-112)). Let v = h - w. Calculate the common denominator of v and -30/7.
63
What is the common denominator of -19/590 and (-972)/1488 + 15/60 - 2/2?
18290
Let u = -3480 - -4047. Calculate the smallest common multiple of u and 243.
1701
What is the common denominator of 5/728 and 4/(-16)*-12 - ((-4229)/(-832) - 2)?
5824
Find the common denominator of 113/20 and (21/(-6) + -9)*7/9037.
25820
Find the common denominator of -49/10 and (-47990)/11992 - (188 + -192).
29980
Calculate the smallest common multiple of 2 and (54/(-63))/((-58)/47502).
702
Calculate the common denominator of ((-44)/256)/(9/63) and 65/72.
576
Suppose 94221 = 458*p + 93*p. What is the smallest common multiple of 513 and p?
513
Suppose 2*h = -4*r - 86, h - r = 3*r - 25. Let i = h + 52. Calculate the least common multiple of ((-4400)/(-160) + -32)*(8/6 - 2) and i.
15
Calculate the least common multiple of 3/(-42)*-4 + 188/28 and ((15/(-4))/5)/(5341/668 + -8).
1169
Let s = -591/26 - -141275/6214. Let f = -1567742/9 - -374693215/2151. Let g = f - s. Find the common denominator of g and 95/6.
6
Let i = -1943 + 2095. What is the lowest common multiple of 12 and i?
456
Let b(m) = -70*m + 28. Let k be b(6). What is the common denominator of (-2233)/k - 5/1 and (-2)/6 - -1 - 1112/96?
168
Let o(g) = -g**2 - 15*g - 9. Let h(x) = x. Let z(u) = -2*h(u) + o(u). Let d be z(-22). Find the common denominator of 12/10*(d/(-2))/7 and -75/16.
80
Suppose 8*s = 4*s + 272. Let u be 8/(-380)*(-3 + s). Let f = -778/209 + u. Calculate the common denominator of f and -17/7.
77
Let n = 21 - -9. What is the least common multiple of (-6)/57 + 20580/570 and n?
180
Let i be 67220/(-26) - ((-4)/2)/1. Let d = 2587 + i. Find the common denominator of -91/4 and d.
52
Suppose 16 = -4*u + 4*v, -3*v = 5*u - 6*v + 12. Suppose -4*m - 395 + 419 = u. Calculate the least common multiple of m and 28.
84
Let o = 52 + -522. Calculate the common denominator of 149/54 and ((-16)/40)/((-1374)/o - 3).
54
Let f = 144 - 39. Find the common denominator of -103/70 and (618/f)/(1 - 9).
140
Suppose -5*b + 12 + 1 = 4*g, 3*g - 6 = -3*b. Let q(m) = -m**2 + 6*m. Let l be q(6). What is the lowest common multiple of -2 - (g - l) - -6 and 1?
7
What is the common denominator of (-7278)/(-19520) + (-180)/450 and -13/1220?
9760
Let r = 95999477/561 - 171122. Find the common denominator of -10/99 and r.
1683
Let j be -1 + -6 + 2 + 7. Let c(w) = 6*w**2 + 3*w - 8. Calculate the lowest common multiple of 20 and c(j).
220
Let n = -108/131 + -4484/917. What is the common denominator of -85/14 and n?
14
Let