
Calculate the remainder when 580 is divided by (1/23 - 421947/3979)*1/(-2).
50
Suppose 0 = -2*c - 5*i + 101, 2*i + 3*i + 114 = 3*c. Suppose 45*j = c*j + 6. Suppose j*h - 385 = -4*h. Calculate the remainder when h is divided by 19.
17
Let y be (-18)/135 - (-124)/30. Calculate the remainder when ((-62)/4)/(1/(-4)) is divided by 2/y*((-17 - -11) + 32).
10
Let n(d) = 48*d**2 + 50*d + 230. Calculate the remainder when n(9) is divided by 20.
8
Suppose 4*m + 2*r = -115 + 415, 0 = 5*m + 3*r - 377. Calculate the remainder when m is divided by -30 + (-5852)/(-190) + (-151)/(-5) + 0.
11
What is the remainder when 11910 is divided by 156/11 - 711/(-5214)*(-4)/3?
10
Suppose -9 = 4*x - 17. Suppose 0*b - 20 = -x*b. What is the remainder when b is divided by 26/8 + 4/(-16)?
1
Suppose -306 - 534 = -35*y. Calculate the remainder when 102 is divided by y.
6
Let h = 457 + 232. Let y = 485 - h. Let a = -135 - y. Calculate the remainder when a is divided by 18.
15
Let b = 1140 - 1129. Calculate the remainder when 614 is divided by b.
9
Let u(v) = -2*v - 3. Let d be u(7). Let b = -9 - d. Let s = 5425 + -5372. Calculate the remainder when s is divided by b.
5
Suppose -5*j = 5*h - 35, -h - 2 + 11 = 2*j. Calculate the remainder when ((-21)/(-56))/(2/16) + (0 - 1) is divided by j.
0
Let q(l) = 5*l + 1. Calculate the remainder when 447/6 - (-14)/28 is divided by q(1).
3
Let n be (-3 + 54/12)/(1/50). Suppose -n - 15 = -5*b. Suppose -23 = -a - 2*s + 3, 0 = a + 3*s - 25. What is the remainder when a is divided by b?
10
Suppose -1018 = -25*v - 8593. Let k = -188 - v. Calculate the remainder when k is divided by 20.
15
Let r be 1 - (5 + 2)/((-2)/8). Suppose 0 = -r*v + 4408 - 1189. Calculate the remainder when v is divided by 14.
13
Let g(l) = -24*l**2 + 4*l - 1. Let i be g(1). Let k(z) = -z - 5. What is the remainder when 412 is divided by k(i)?
12
Suppose 6*h - 357 = -183. Calculate the remainder when 552 is divided by h.
1
Let c(q) = -23*q**2 - 244*q + 1. Calculate the remainder when c(-10) is divided by 10.
1
Let q be (-9)/(-36) + 0 - 30/(-8). Suppose -189 = -5*l - q*s, 4*l - 221 = -l + 4*s. What is the remainder when 81 is divided by l?
40
Let b be (-15)/(-3) - 209/(-11). Suppose 30 = 5*r + 5*y, -r + 2*y + b - 6 = 0. What is the remainder when 25 is divided by r?
5
Suppose 44*d - 2710 = -3810 + 64372. What is the remainder when d is divided by 103?
99
Let z = -4301 - -4379. What is the remainder when 6239 is divided by z?
77
Let x be (-294)/(-8) - (-2)/8. Let a = x + -16. Suppose -4*k - 5*n = -185, 10*n - 14*n - 8 = -2*k. Calculate the remainder when k is divided by a.
9
Suppose -3*u = 2*g + 6, 39*u + g + 3 = 41*u. Suppose -3*o + 5*o - 1588 = -5*w, 5*o + 5 = u. What is the remainder when w is divided by 16?
14
Let y = -4166 - -4169. What is the remainder when 4193 is divided by y?
2
Let u(f) = f**3 + 50*f**2 - 3*f - 120. Let b be u(-50). Suppose -l + 9 = b*c - 26*c, c + 24 = 5*l. What is the remainder when 7 is divided by c?
0
Let a(s) = -294*s**2 - 3*s. Let z be a(-2). Let g = -6015 - -6013. Calculate the remainder when 82 is divided by (z/42 - (-2)/(-14))/g.
12
Let h(f) = -32*f**3 + 26*f**2 + 66*f - 4. What is the remainder when h(-3) is divided by 444?
8
Let y be (-22869)/77 - (0 - 6). Let k = y - -511. Calculate the remainder when k is divided by 17.
16
Suppose 3*b + b - 228 = 0. Suppose -a - 4*a = -80. What is the remainder when b is divided by -2 + 16 + a + -10?
17
Let i = 270 - 167. Suppose -112 = -3*s + 2*w, -w - 37 = -s + 1. Calculate the remainder when i is divided by s.
31
Let r = 2 + 3. Suppose b = 4*b + 4*l - 49, r*b + l = 59. Suppose 18 = 3*c + 3*q, -2*q + 11 = c + 2. What is the remainder when b is divided by c?
2
Let i be 1 + (-3 - 11/((-22)/12)). Let h be 0 - i - 0 - -4. Let n = h - -49. Calculate the remainder when n is divided by 13.
10
Let r be 0 + 0/(4 - (6 + -3)). What is the remainder when (-3)/(4/(-88) + r) is divided by 15?
6
Calculate the remainder when 4253 is divided by (-1300)/(-390)*(-12)/10 + 0 + 32.
25
Let y(q) = -q + 2. Let m be y(-10). Suppose 5*s + 24 = n, n = -n - 2*s + m. What is the remainder when (1/3)/((-1)/(-78)) is divided by n?
8
Suppose -137*p + 63*p + 1579356 = 97*p. Calculate the remainder when p is divided by 12.
8
Let o(y) = y + 21. Let r be o(0). Let l = r - -13. Calculate the remainder when (15 + 1017/(-63))*1 + (-1191)/(-7) is divided by l.
33
Let l(x) = x**2 + x - 2. Suppose -12*w + 6*w - 14628 = 0. What is the remainder when l(6) is divided by w/(-230) + 2/5?
7
Suppose 0 = 5*c + 5*t - 21 + 1, 4 = 3*c - t. Suppose -d + c*f = -13, -4*f = 53*d - 50*d - 69. Calculate the remainder when 69 is divided by d.
12
Suppose -987 = 7*n - 28*n. Suppose -c = -4*c + 834. What is the remainder when c is divided by n?
43
Let d(g) = g**3 + 26*g**2 + 4*g + 147. Calculate the remainder when 130 is divided by d(-26).
1
Suppose -4 = -2*u + 3*q + q, -4*q = 5*u + 32. Calculate the remainder when ((-44)/(-5))/((u/(-5))/4) is divided by 7.
2
Let p(a) = -9*a**2 - 442*a + 120. What is the remainder when p(-48) is divided by 29?
20
Suppose 168*z + 2504 = -1024. Let h(q) = 3*q**2 + q + 5. Let t be h(-4). Let p = z + t. What is the remainder when 81 is divided by p?
25
Let j = 629 - 625. Suppose -p - 46 = 3*x - 138, -j*x - 2*p + 122 = 0. What is the remainder when 85 is divided by x?
23
Let r(m) = 2*m + 9. Let q(z) = 6*z + 28. Let o(b) = -6*q(b) + 17*r(b). Calculate the remainder when 42 is divided by o(-12).
6
Let n(u) = 7*u - 2. Suppose 5*z - l = 2*l + 49, -2*l = -4. What is the remainder when n(6) is divided by z?
7
Suppose 6*m = 68*m - 113173 - 29799. Calculate the remainder when 6933 is divided by m.
15
Suppose 22*g - 27*g + 385 = 0. Let c = g + -35. Calculate the remainder when (4/(-3))/(-4)*369 is divided by c.
39
Let i(d) = 4*d - 13. Let c be i(2). Suppose 0 = -3*f + 3*m + 6, 3*f = -m + 2*m - 2. What is the remainder when 44 is divided by ((-936)/30)/f + 3/c?
14
Let b(t) = -6*t**2 + 668*t - 524. What is the remainder when b(110) is divided by 54?
32
Suppose 9 = v - d, 4*d + 18 = v - 0*v. Let c be 69/2 - v/(-4). Let t = 59 - c. What is the remainder when 91 is divided by t?
22
Suppose 217 = p + 2*b - 0*b, 0 = 5*b + 10. Let x = p - -35. What is the remainder when x is divided by 43?
41
Let f(j) = j**3 + 17*j**2 + 55*j - 37. Calculate the remainder when 1844 is divided by f(-11).
80
Let z(v) = 20*v + 4. Let k be ((-2)/(-3))/((-2)/33) - -2. What is the remainder when z(2) is divided by (1/5)/(k/(-30))*18?
8
Suppose 0 = 130*z - 95*z - 2835. Calculate the remainder when 783 is divided by z.
54
Let f(m) = m**3 + m**2 - 16*m - 22. Let w(c) = -c**3 - c**2 + 16*c + 23. Let q(a) = -6*f(a) - 5*w(a). What is the remainder when q(-8) is divided by 34?
31
Suppose -90 - 272 = -3*i + 31. What is the remainder when i is divided by 113?
18
What is the remainder when (-222)/37*5717*5/(-10) is divided by 18?
15
Suppose 0*w + 6*w = 96. Suppose 5*v - w = 84. What is the remainder when 53 is divided by v?
13
Suppose 0 = -201*t + 12627 - 11112 + 16575. Calculate the remainder when 244 is divided by t.
64
Let v = -3889 + 6389. Calculate the remainder when v is divided by 12.
4
Suppose -2500*l = -2499*l - 2*i - 10, l + i - 13 = 0. Calculate the remainder when 186 is divided by l.
6
Suppose 113 + 97 = -21*z. Let l(c) be the second derivative of -c**3/3 - 3*c**2/2 + c. What is the remainder when 82 is divided by l(z)?
14
Calculate the remainder when 899 is divided by 62*7/(-14)*-1 + 1*-1.
29
Let m(o) = 5. Let v(z) = z - 26. Let n(u) = 11*m(u) + 2*v(u). Let d(w) = -w - 6. Calculate the remainder when d(-11) is divided by n(0).
2
Suppose -4*t = -0*m - 5*m - 801, -t - 4*m + 216 = 0. Let s be 24/(-8) - (1 + t). Let b = 347 + s. What is the remainder when b is divided by 47?
45
Let h = 667 - 665. Suppose -5*n + h*n - 5*u = -1174, -2*n - 3*u = -782. Calculate the remainder when n is divided by 30.
28
Calculate the remainder when (-3 - 570)/((-11)/(176/12)) is divided by 151.
9
Let f(g) = -g + 1. Let p be f(-11). Let m(c) = -3 - 5*c - p*c + 13*c. Calculate the remainder when m(-2) is divided by 4.
1
Let j(i) = -i**3 - 10*i**2 + 3337*i + 126. Let v(c) = -53*c - 1. Calculate the remainder when v(-1) is divided by j(53).
12
Let q be (-1434)/21 - 8/140*-5. Let g = -51 - q. Wha