t is the common denominator of r and -41/2?
88
Suppose -54*f + 66*f = -19*f + 7812. Calculate the smallest common multiple of f and 1512.
1512
Let s = -96 - -80. Let l be (s/310)/((-7)/(1155/(-18))). Let o = 666/403 + l. What is the common denominator of o and 37/12?
156
Let y be 2/(-1)*(-1 - 0). Suppose -y*h - 22 = -4. Calculate the common denominator of 57/7 and 700/195 + (-3 - 30/h).
91
What is the common denominator of -107/105 and (10 - 215/21) + (-10)/(-45)?
315
Let u(q) = 18*q**2 + 20*q + 10. Let d = 1 - 1. Suppose d = k - 6 + 1. What is the lowest common multiple of u(0) and k?
10
Let r(z) = 3*z**3 - z**2 + 47*z - 184. Calculate the smallest common multiple of r(4) and 4.
180
Let a = 176 - 170. Let p(y) = y + 11. Let b be p(-5). Suppose 3*x - 72 = -b*x. What is the smallest common multiple of a and x?
24
Let l = 2413597505/1768 - 1365157. Find the common denominator of l and 70/1989.
15912
Let u(q) = 13*q**2 + 3*q + 5. Let b be u(4). Let w = b + -207. What is the smallest common multiple of w and 81?
162
Let c be (-4 - -37)*(2 + -7). Calculate the lowest common multiple of ((-5)/(75/12))/(11/c) and ((-7)/21)/((-1)/27).
36
Suppose 203*c + 204804 = 221*c. What is the least common multiple of c and 22?
125158
Suppose 450066 = 310*d - 42834. What is the lowest common multiple of 1272 and d?
6360
Let n be ((-115)/2)/(75/10 - 8). Let s = n - 109. Calculate the lowest common multiple of 10 and s.
30
Suppose 5*i - i = 2*f + 2, 0 = 3*i - 2*f + 1. Suppose -27 + i = -12*t. Find the common denominator of 3/8 and (2/(t/(-19)))/(16/(-20)).
8
Calculate the common denominator of ((-5)/15)/((54/114)/3) and (-2 + 95/45)/((-18)/381).
54
Let j(o) = -o**3 - 45*o**2 + 92*o + 27. Let g be j(-47). Let v = 131 - g. What is the lowest common multiple of 64 and v?
320
Suppose 0 = -p + 21 - 39. Find the common denominator of (-657)/(-6)*(-2)/p and -2*((-724)/(-160) + -3).
60
Calculate the common denominator of -9/1036 and (-4)/3 - (4351/114 - 7).
1036
Let d = -3315 + 5280. Let o = 9783/5 - d. Let g = 1288 - 18075/14. Calculate the common denominator of o and g.
70
Let f(c) = c**3 - 28*c**2 - 289*c + 10. What is the least common multiple of 8092 and f(-8)?
72828
What is the smallest common multiple of 180 and 18 - (-25844)/700 - 2/(-25)?
1980
Find the common denominator of (4 - 0) + (-357589)/96369 and -161/624.
4368
Suppose 606 = -4*b + 994. Suppose y + 84 = -0*y + t, 3*t = -2*y - 183. Let m = y + b. Calculate the smallest common multiple of 28 and m.
140
What is the least common multiple of ((-204)/17)/(-48) - 430/(-8) and (-1 - 154/8)/(6/(-16))?
54
Let t be (-6)/(-4) - (-20)/8. Suppose 0 = -2*o - 2*o + t. What is the lowest common multiple of o and (14/(-10))/(69/(-690))?
14
Suppose f - 6*k = -3*k + 16, 3*f = 4*k + 23. Calculate the common denominator of 12*4/(-756) + f/(-7) and -5/63.
63
Let k(w) = 4*w + 0*w - 93 - 17*w**2 + 19 - w**3 + 4*w**2 + 3*w. Calculate the least common multiple of k(-14) and 80.
240
What is the common denominator of -13/120 and 49/((-49)/(-2))*((-541)/248 - -2)?
3720
Let m(g) = g**3 - 42*g**2 + 68*g + 482. What is the least common multiple of m(40) and 724?
724
Suppose 26*i - 31*i = 5, 124 = 5*a + i. Suppose 2*f + j = 17, 8*j + a = 3*j. What is the lowest common multiple of f and 3?
33
Let i be 2/2 - 1 - -18. Let v(b) be the first derivative of -b**4/4 + 17*b**3/3 + 21*b**2/2 - 39*b - 6132. What is the least common multiple of 36 and v(i)?
180
Suppose 2*d - 2 = 4. Suppose d*j = -0*j - 12. Calculate the lowest common multiple of (-112)/(-16) + j + 1 and 2.
4
Calculate the common denominator of (3324/432 + (-16)/36)*(-2)/(-60) and 7/48.
240
Let l = 75271 - 4516157/60. Calculate the common denominator of l and 21/100.
300
Let y = -768/11 + 7550/99. Let c = 9744617/1245 + -7827. Let g = -26129/9960 - c. Calculate the common denominator of g and y.
72
Let f be (8/10)/(6*(-3)/(-45)). Suppose -f*p = -5*h + 448, 3*h + 273 = 6*h + 3*p. Suppose 0*u + h = 3*u. What is the smallest common multiple of u and 10?
30
Let q(h) = -2 + 38 + 24*h + 3*h**2 - 6*h + 18. What is the least common multiple of 22 and q(-6)?
594
What is the common denominator of (1040/(-450))/(38/95) and -41/529?
4761
Let i = -1121 - -2169/2. Suppose 3*o - 4*t - 232 = 0, 0 = -2*o - 4*t - t + 124. Find the common denominator of i and (-1042)/o + 4/18.
4
Let c = 6 + -8. Let b = -634598/27 + 23501. Calculate the common denominator of c/4 - (-50)/84 and b.
189
Let d = -94583711/516 - -183302. Calculate the common denominator of d and -71/602.
3612
Suppose 0 = -15*i + 7963 + 272. What is the smallest common multiple of 21 and i?
3843
What is the common denominator of -19/27 and 56812/5136 + -7 - (-3 - -1)*-2?
11556
Let o = -2202 + 224671/102. Calculate the common denominator of o and -61/30.
510
Let o = 4472451/94 + -47580. What is the common denominator of 31/423 and o?
846
Suppose 166*a = 170*a - 20. Suppose 7 = 3*c - 5, 0 = a*o - 4*c - 134. What is the least common multiple of 6 and o?
30
Let s(m) = -7*m - 2. Let p be s(4). Let z(k) = -k**3 + 30*k**2 + 74*k - 267. Let v be z(32). Let n = p + v. What is the lowest common multiple of 6 and n?
138
Let k(z) = z**3 - 23*z**2 + 37*z - 310. What is the lowest common multiple of k(22) and (12/(-10))/((-6)/80)?
80
Find the common denominator of -43/5 and (-44)/1122*(-5)/((-1470)/36).
4165
Let x = 14213 + -16586590/1167. Find the common denominator of -45/2 and x.
2334
Suppose 2*f = -z + 3 + 29, 4*z - 92 = f. Let a = z - -32. Calculate the smallest common multiple of a and 32.
224
Let f = 4471 - 2509. Calculate the least common multiple of 16 and f.
15696
Calculate the common denominator of 64/1257 and 2/6*(-17)/(102/(-118))*1.
3771
Let d be 1/(1/21) + (-5 - -2). Suppose -d*h + 45 = -9. Calculate the lowest common multiple of h and 21.
21
Let m(j) = 329*j + 176. What is the least common multiple of 2085 and m(2)?
4170
Let j = -32111732/387 - -82976. Find the common denominator of -75/344 and j.
3096
Calculate the smallest common multiple of 1380 and -7*(2448/(-84))/17.
1380
Let j be 103239248/(-384)*4/(-70). Let v = -15366 + j. Find the common denominator of v and 39/40.
120
Let x = -40749/17560 + 20/439. Calculate the common denominator of -37/55 and x.
440
Let n(u) be the second derivative of -u**4/12 + 71*u**3/6 + 12*u**2 - 3*u + 4. What is the least common multiple of 82/8 - (-1)/(-4) and n(0)?
120
Suppose -3*k - 33 = -5*u, 0 = -4*k + 3*k - 1. Let s(z) = 12*z**2 + 1. Let h be s(-1). Let n = h - 11. Calculate the least common multiple of u and n.
6
What is the common denominator of ((-42)/(-1617))/(3*(-8)/(-2478)) and -123/6100?
67100
Suppose 0 = -2*d + 4*t - 8, 7 = -5*t + 27. Calculate the lowest common multiple of -2 + 1/1 - -9 and (1 - (d - 9)) + -4.
8
Suppose 0 = u - 4*u + 36. Suppose 3*g - 4*g - 2*n + 26 = 0, -3*n = 5*g - 130. Let i = 37 - g. What is the lowest common multiple of i and u?
132
Let x = -3216919026681299/62398 - -51554841927. Let y be -8 + ((-6)/1 - (-249588)/17828). Let k = y - x. Find the common denominator of -1/10 and k.
70
Let h(r) = 90*r - 102. Let n be h(9). Suppose 20*b + 48 = n. What is the smallest common multiple of b and 156?
1716
Let a be (-16)/(-2) - (-16)/(-4). Let l be 6/(23436/2631) + a/(-6). Let i = l + -11751/4774. Find the common denominator of -11/4 and i.
44
Let o = 289937 - 60886883/210. Find the common denominator of 113/720 and o.
5040
Let r be ((-405)/(-20))/9*(-24)/(-9). Suppose r*f = 88 - 82. Calculate the lowest common multiple of f and 132.
132
Let d = 134/17 - 611/153. What is the common denominator of -58/5247 and d?
5247
Let u = -86 + 87. Suppose 2*v - 2 = 5*r, 7*r - v = 3*r - u. Calculate the smallest common multiple of (-96)/(-40) + ((-6)/15 - r) and 38.
38
Let n = 21666805 - 88920567193/4104. Let a = n + 3/152. Calculate the common denominator of a and -77/15.
135
Let x = 66427147/10 + -6631458. Let y = 11269 - x. Let b = -60678/4895 + -4/979. Calculate the common denominator of y and b.
10
What is the common denominator of 140/7 + (-33074)/1840 and -77/3170?
12680
Suppose 3*o - 42*q - 104 = -40*q, 0 = -3*o - 3*q + 84. Calculate the smallest common multiple of o and 184.
736
Let l = 293 - 293. Suppose l = -8*i + 84 + 364. Calculate the lowest common multiple of i and 40.
280
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