 6 = 122*m. Calculate the remainder when 4141 is divided by m.
1
Let z be (-48)/(-9)*93/31. Suppose 5*d = 3*l - 321, -28 = -4*d - z. Calculate the remainder when l is divided by 58.
54
Suppose -9 = -2*q - 3. Let b(l) = l**3 - 2*l**2 + l + 1. Suppose i + 293*s = 288*s, 5*i + 2*s - 345 = 0. Calculate the remainder when i is divided by b(q).
10
Calculate the remainder when 4850 is divided by (24/(-9))/(10/(-30)) - -41.
48
Let h be (-6)/4*276/9*-1. Suppose 9 = 11*n - h. Calculate the remainder when 12 is divided by n.
2
Let z(x) = -x - 1. Let s be z(1). Let i(q) = 5*q**2 + q + 3. Calculate the remainder when 83 is divided by i(s).
20
Let m(h) = 17*h + 757. Calculate the remainder when m(-7) is divided by 161.
155
Calculate the remainder when (-32)/36 + 962/9 is divided by 55.
51
Calculate the remainder when 340 is divided by ((-13 - -12) + 2)*167.
6
Suppose -79*d = -78*d - 5*k + 118, 4*k = 0. Let z = d + 193. What is the remainder when z is divided by 21?
12
Let a(m) = -3*m - 6. Let k be a(-4). Suppose -o + 10 - k = 0. Suppose 3*q - o = 20. Calculate the remainder when 22 is divided by q.
6
Let t(i) = 9*i**2 + 3*i + 4. Let n be t(5). Suppose -6*g = 242 + n. Let d = g - -96. What is the remainder when 42 is divided by d?
12
Suppose 1495 = -3*f - 2*y, -2*y = -3*f - 184 - 1291. Let r = f + 563. What is the remainder when r is divided by 12?
8
Suppose p + 2 = 3*p, 2*p + 1090 = -3*w. What is the remainder when (-3 + 27)/(-8*7/w) is divided by 37?
8
Suppose 12*u - 4*u = -16. Let x be -1*(u + -9) + -2. Suppose 0 = 3*q - 15, x*g - 13*g = -3*q - 25. What is the remainder when g is divided by 3?
1
Suppose 5*o = 4*k - 2489, -27*o + 29*o + 2486 = 4*k. What is the remainder when k is divided by 12?
9
Suppose 6 = 3*n, 66*w - 62*w = 4*n + 6752. What is the remainder when w is divided by 154?
150
Let g(r) = r + 5. Let n be g(-2). Let z be n + ((-10)/15 - 7/3). Suppose 5*h - 28 - 347 = z. What is the remainder when h is divided by 13?
10
Let n = 205957 + -205912. Calculate the remainder when n is divided by (26/6)/(1/6).
19
Let j = -209 + 223. Calculate the remainder when 12 is divided by 14/4*j/7.
5
Let a(b) = -5*b**2 + 3*b + 7. Let l(f) = -f**2 + 1. Let d(w) = a(w) - 6*l(w). Let g be d(-3). Let m = 39 + g. What is the remainder when m is divided by 22?
18
Suppose 28*a - 1640 = 20*a. Calculate the remainder when a is divided by 0/(-1) - (-71 + 19).
49
Let w(d) = -14*d**3 - 4*d**2 - d + 3. Let a be w(-2). Suppose -b + a - 69 = 0. Calculate the remainder when 156 is divided by b.
28
Suppose 2*v = 3*v + 2*b - 47, -229 = -5*v - 4*b. Suppose 0 = 5*y + 5*h - 885, -4*h - 440 = -2*y - 74. What is the remainder when y is divided by v?
44
Suppose 25 = -69*o + 74*o. Suppose q = -5, o*j + 4*q = 4*j + 15. What is the remainder when j is divided by 17?
1
Let j be 10*2/4*25. Suppose t = 5 - 1, 14 = 2*z - 3*t. Suppose -18*b = -z*b - j. What is the remainder when b is divided by 4?
1
Suppose -2*i - 4*h + 5 - 11 = 0, -3*i - 3*h - 18 = 0. Calculate the remainder when 329 is divided by ((-155)/(-15))/((-3)/i) - -2.
32
Suppose -90196 = -114*q + 43085 + 22671. Calculate the remainder when q is divided by 196.
192
Suppose -7*a + 5*a = 5*r - 3, r = -3*a + 24. What is the remainder when 1*363/a - (-32)/48 is divided by 11?
8
Let f = 318 - 332. Let q(s) = -s**2 - 20*s - 16. Calculate the remainder when q(f) is divided by 15.
8
Suppose 10 = 3*j - 14. Suppose 19*r = 15*r + j. Suppose 4*i - 18 = -r*x - 4, -4*x = -4. Calculate the remainder when 8 is divided by i.
2
Let b(v) be the second derivative of -17*v**3/6 + 3*v**2 + 26*v. Let r be b(6). Let o = -70 - r. Calculate the remainder when 73 is divided by o.
21
Let b be (80 - 66)*(-190)/(-7). Suppose 0 = -2*m - 8*m + b. Let u(q) = 28*q**3 + q**2 - 2*q + 3. Calculate the remainder when u(2) is divided by m.
37
Let m(y) = -3*y**2 - 10*y + 25. Let k be m(-11). Let f = -177 - k. Suppose -2*s + 49 + 3 = 0. What is the remainder when f is divided by s?
25
Let d(o) = 3*o**3 - 2*o**2 + 10*o - 6. Let k = 21348 - 21269. Calculate the remainder when d(6) is divided by k.
77
Suppose -64 = 425*k - 438*k + 261. Let u = 470 - 47. Calculate the remainder when u is divided by k.
23
Let s = 4375 - 4341. Calculate the remainder when 1074 is divided by s.
20
Let x(v) be the first derivative of v**4/4 + 23*v**3/3 - 12*v**2 + 16*v + 41. What is the remainder when 79 is divided by x(-24)?
15
Suppose 0 = -4*k - i + 70279 - 21777, 5*k - 2*i = 60634. What is the remainder when k is divided by 16?
14
Suppose -93*c - 5*u = -96*c + 1128, -15 = 5*u. What is the remainder when c is divided by 100?
71
Suppose -v = 9*v - 6*v. Suppose v = -g + 15 + 32. Calculate the remainder when g is divided by -1 + (-12)/4 + 29.
22
Suppose 4*v + 4*i = 632, 5*v - 4*i - 730 = i. What is the remainder when v is divided by 13?
9
Let g(a) = -2*a**2 + 0*a**2 - 10*a + 23*a + 4*a**2 - 5. Let c be g(-5). Let t = c - -24. What is the remainder when 13 is divided by t?
1
Suppose 2*n + 21*c - 388 = 0, 46*c = 4*n + 47*c - 284. What is the remainder when n is divided by (2 + 7)/(1 - 0)?
5
Suppose 0 = -880*r + 894*r - 65786. Calculate the remainder when r is divided by 100.
99
Let a(q) = q**2 + 2*q + 44. Let i(j) = j - 1. Let y(s) = 5*s - 4. Let c(p) = 33*i(p) - 6*y(p). Let z be c(3). What is the remainder when a(z) is divided by 16?
12
Let z(c) = -203*c - 1375. What is the remainder when z(-12) is divided by 249?
65
Let j(z) = -z**3 + 15*z**2 - 28*z + 29. Let n be j(13). Suppose -n*v = 10*q - 6*q - 145, -v = 4*q - 43. Calculate the remainder when 356 is divided by v.
50
Suppose -2*r - 2*r = k - 84, k - 2*r = 84. Let j(a) = -124*a + 657. Calculate the remainder when k is divided by j(5).
10
Let p be 284/24 + 3/18. Let v = p - 6. Let l = -814 + 849. What is the remainder when l is divided by v?
5
Let z(c) = -8*c**2 - 8*c - 18. Let i be z(-3). Let q = -45 - i. What is the remainder when 77 is divided by q?
14
Let y be 4 + 5446/(-28) + 3/(-2). Let l = y + 252. Calculate the remainder when l is divided by 9.
6
Suppose q + 3*c - 104 = 6*c, -5*q + 480 = -5*c. Suppose 10*s - q = 88. What is the remainder when 24 is divided by s?
6
Suppose 6057 = 14*o + 4125. Calculate the remainder when 418 is divided by o.
4
Let h(v) be the second derivative of 3*v**3/2 + 3*v**2 + 11*v. Let r = 802 + -783. What is the remainder when h(3) is divided by r?
14
What is the remainder when 2751/168 + -16 - (-221)/8 is divided by 16?
12
Suppose -28 = 4*k - 16. Let i(f) = -f**3 + 2*f**2 - 6*f + 3. Let d be i(k). Let l = -49 + d. Calculate the remainder when 65 is divided by l.
14
Let r(w) = -83*w - 1596. Calculate the remainder when r(-21) is divided by 16.
3
Let i = 5654 + -5651. What is the remainder when 37 is divided by i?
1
Let y = 18851 + -18080. Calculate the remainder when y is divided by 760.
11
Let p = -7705 + 7924. Calculate the remainder when 671 is divided by p.
14
Let z(w) = -31*w**2 - 2*w + 6. Let k(v) = -3*v + 8*v**2 - v**2 + 7 - 37*v**2. Let i(j) = 4*k(j) - 5*z(j). What is the remainder when 69 is divided by i(-1)?
34
Suppose 3*v - 2*d = -42, 6 = v - 4*d + 20. Calculate the remainder when 3 - 117/(-2) - v/(-28) is divided by 5.
1
Suppose -71*o + 10283 = 20*o. What is the remainder when 391 is divided by o?
52
Let v(k) = k**2 - 22*k + 138. Calculate the remainder when 532 is divided by v(14).
12
Suppose 2*i + 0*i = k + 30, -32 = -4*i - 5*k. Let g(q) = q**3 - 6*q**2 - 7*q - 3. Let l be g(7). What is the remainder when (-230)/l - (-3)/9 is divided by i?
12
Let b(i) = i**2 + 23*i + 11. Suppose -5*z - x + 55 = 177, -5*z = 3*x + 116. Let f = 19 - -2. What is the remainder when b(z) is divided by f?
19
Suppose 0*j + 214 = j. Calculate the remainder when j is divided by 0/17 + 1*12.
10
Suppose -50*q = 9533 - 17483. Calculate the remainder when 764 is divided by q.
128
Let a be (188/9)/4 + 34/(-153). Suppose 28 = -b + a*v + 58, 4*b = -3*v + 120. What is the remainder when 82 is divided by b?
22
Let h be ((-10)/8)/(15/(-120)). Suppose h*c - 4*c - 54 = 0. Calculate the remainder when 44 is divided by c.
8
Let t be 1 - (5 - (6 + 2)). What is the remainder when 121 is divided by (t + (4 - 6))*(-82)/(-4)?
39
Let q be (-10)/(-6) - ((-2)/(-3) + -1). Let k(a) = 8*a**2 - a + 5. What is the remainder when k(q) is divided by 5?
0
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