when 3 + 36 + 15/(-5) is divided by 4/(-8) - 68/(-8).
4
Let q(p) = 2*p - 3. Let y be q(4). Suppose -y*x = -20, -s - 3*x + 177 = 2*s. Calculate the remainder when 65 is divided by (s/20)/((-2)/(-16)).
21
Let s = 76 - 25. What is the remainder when (0 + 1)/(3/s) is divided by 7?
3
Let j = -42 + 45. Calculate the remainder when 11 is divided by j.
2
Let w(n) = n**2 - 126*n + 9 + 61*n + 62*n. Calculate the remainder when w(6) is divided by 14.
13
Suppose -4*k = 20, 5*m - 19*k - 435 = -20*k. What is the remainder when m is divided by 51?
37
Let s = 8 - -4. Suppose 0 = 10*n - s*n + 54. What is the remainder when n is divided by 15?
12
Let r be (-315)/(-25) + (-3)/5. Let y = r + 3. What is the remainder when 89 is divided by y?
14
Suppose -5*n - 650 = -4*w, 3*w - n + 5*n - 472 = 0. Let y = w + -141. Calculate the remainder when 36 is divided by y.
17
Let v = 1080 - 1057. Let u = 20 - 12. Calculate the remainder when v is divided by u.
7
Let s(v) = -v**3 + 7*v**2 + 2. Let d be s(7). Suppose -j + d = -5. Let w(r) = 4*r - 7. What is the remainder when 41 is divided by w(j)?
20
Let b = 31 + -18. Let f = b + -8. Suppose 4*w - 27 = 3*w - m, 0 = 5*m + f. Calculate the remainder when w is divided by 10.
8
What is the remainder when 125 is divided by 255/18 - 21/126?
13
What is the remainder when -100*-2*(-3)/(-12) is divided by 14?
8
Let y = -398 - -416. Calculate the remainder when 89 is divided by y.
17
Let x(i) = 19*i**2 + 2*i - 2. Let v be x(2). Suppose 4*t - 34 = v. Calculate the remainder when 82 is divided by t.
26
Let n = -6885 - -6907. Let k(h) = -h**3 + 5*h**2 - 3*h - 2. Let y be k(4). Suppose -y*r = -r - 9. Calculate the remainder when n is divided by r.
4
Suppose 150 = -6*f + 16*f. Suppose 2*y = -13 + 67. What is the remainder when y is divided by f?
12
Suppose -z + 6*z = -2*x - 24, 4*z = -5*x - 43. Let o be 3/((42/(-16))/x). What is the remainder when (-1)/4 - (-458)/o is divided by 15?
12
Let c = 3 - -5. Calculate the remainder when -3 - -3 - (2 - 32) is divided by c.
6
Suppose -42 = -10*i + 4*i. Let w(g) = -g**3 + 6*g**2 + 11*g - 12. What is the remainder when 62 is divided by w(i)?
14
Let r be (-42)/(-273) - (-368)/(-26). Suppose w + c - 83 = 5*w, 2*w - 4*c + 38 = 0. Let s = r - w. What is the remainder when 20 is divided by s?
6
Suppose 2*c + 6 = 24. Let t(h) = 10*h - 8. Let n(g) = -g**2 - 9*g + 15. Let v be n(-10). What is the remainder when t(v) is divided by c?
6
What is the remainder when 96 is divided by (-1 + (-1)/6)*-6 + 64?
25
Let g = -19 - -10. Let v = 21 + g. What is the remainder when ((-2)/3)/(6/(-423)) is divided by v?
11
Let d(k) = -k**2 - 4*k + 184. Calculate the remainder when d(0) is divided by 17.
14
Let d = -47 + 52. Suppose 10*m - 145 = d*m. Calculate the remainder when m is divided by 11.
7
Let s(z) = -z + 22. Let o be s(10). What is the remainder when 143 is divided by 3/(o/97) - (-14)/(-56)?
23
Let n be -2*(-3)/(-12)*-2. Suppose l + n = -5. Let j(t) = -t + 2. What is the remainder when 14 is divided by j(l)?
6
Suppose 41*x + 456 = 53*x. Calculate the remainder when 1442 is divided by x.
36
Let i be (2/4)/(2/212). Let b = i + -31. What is the remainder when 1570/18 + (-6)/27 is divided by b?
21
Suppose 0*c - 9 = -c. Suppose -58*n + 47*n = 11. Calculate the remainder when 13 is divided by -1 + (c - (4 + n)).
3
Suppose -p - 3*d - 2*d = -254, -4*d - 550 = -2*p. What is the remainder when p is divided by 27?
26
Let g be (-5)/(1*1/(-5)). Let q = g + 14. Calculate the remainder when 155 is divided by q.
38
Let j = 82 - 52. Calculate the remainder when 65 is divided by j.
5
Let z = -872 - -890. What is the remainder when 133 is divided by z?
7
Let g = -2 + 2. Suppose 2*m = g, -2*a = -4*a - 4*m + 16. Calculate the remainder when (1/(-3))/(5 - 226/45) is divided by a.
7
Let y = 81 - 51. Suppose 2*f - y = -4*k, -2*k = -3*k - 5*f + 30. Calculate the remainder when (-1595)/(-25) - (-1)/k is divided by 22.
20
Let h(k) = k**3 + k**2 - 4*k + 3. Let o be h(-3). Let t = 7 + o. Suppose 39 = -t*d + 7*d. What is the remainder when 49 is divided by d?
10
Suppose -855*m = -854*m - 83. What is the remainder when m is divided by 21?
20
Suppose 0 = -2*j + 27 + 7. What is the remainder when 75 is divided by j?
7
Let i(a) = a - 2. What is the remainder when i(33) is divided by 7?
3
Suppose 55 = 7*t - 2*t. Suppose 6 = 4*u - u. Suppose d - u*w = -3*w + 20, 3*d + w - 60 = 0. Calculate the remainder when d is divided by t.
9
Let j(b) = b + 22. Let v be j(-6). Let s(i) = i - 12. What is the remainder when s(v) is divided by 1?
0
Let c(a) = -a**3 - 3*a**2 + 23*a + 72. Calculate the remainder when c(-7) is divided by 23.
15
Suppose -4*k = -2*j - 6*k + 30, j = -5*k + 27. Suppose -58 - 32 = -2*o. Calculate the remainder when o is divided by j.
9
Let a(l) be the second derivative of -l**3/6 + 11*l**2/2 - 4*l. Let j be a(10). Suppose s - 8 = -j. What is the remainder when 26 is divided by s?
5
Let b(s) = -2 - s - 2 + 3. Let y be 8/(-12) - -2 - 80/6. What is the remainder when b(y) is divided by 3?
2
Let f(u) = -u**3 + 6*u**2 + 10*u - 15. Let n be f(7). Let w be n*2/(-4) - -3. What is the remainder when (w - 3) + 3 + 34 is divided by 12?
10
Let b = -1737 - -1749. What is the remainder when 536 is divided by b?
8
Suppose 31 = 4*q - 3*q - o, 3*q - 65 = -4*o. Let a = q - 20. What is the remainder when 240/a - (-4)/(-14) is divided by 12?
10
Suppose -5*c + z = -29, 2*c + 10 = 4*c - 2*z. Suppose c*n - 40 = 2*n + 4*m, -2*n + 35 = m. What is the remainder when 132 is divided by n?
12
Let n = -5516 - -7786. What is the remainder when n is divided by 16?
14
Suppose -w + 26 = 14. Suppose -w = -3*q + 27. What is the remainder when 51 is divided by q?
12
Suppose 0 = 3*w + 3*m - 279, 6*w - 2*w = -5*m + 372. Calculate the remainder when 189 is divided by w.
3
Let v = -2 - -21. Let q(o) = 11*o**3 - 7*o**2 + 5*o. Let b be q(4). Suppose b = 7*s + 101. Calculate the remainder when s is divided by v.
16
Let z(t) = t + 8. Suppose 5*f + 0*f - 35 = 0. Let o(s) = s**3 - 19*s**2 + 19*s - 9. Calculate the remainder when z(f) is divided by o(18).
6
Calculate the remainder when 251 is divided by (-14)/(42/(-27)) - -5.
13
Suppose 4*a = 20, 4*a + 0*a - 2 = 3*b. Suppose 6 = 2*s - p, -4*p - b = -s - 2*p. Let t = 6 - s. Calculate the remainder when 10 is divided by t.
2
Suppose 71 = n - 2*d - d, 221 = 3*n - 5*d. Suppose n + 151 = 4*a. What is the remainder when a is divided by 17?
6
Suppose -5 = 3*w + 4. Let p(k) = -2*k - 4. Let u be p(w). What is the remainder when 21 is divided by 3/(18/33)*u?
10
What is the remainder when 21 + (-22 - -12) - -391 is divided by 37?
32
Let d = 224 - 118. What is the remainder when d is divided by 18?
16
Suppose -16*w = 8*w - 1992. Calculate the remainder when w is divided by (4 + -2)/((-1)/(-7)).
13
Suppose -5*f = 2*d - d - 67, 4*d = 5*f + 93. Calculate the remainder when 54/4*(-28)/(-3) is divided by d.
30
Let s = 12 - 8. Let z(t) = 3*t - 10. Let v be z(s). What is the remainder when 30 is divided by -8*(v*-2)/4?
6
Suppose o + 2*b = 6, -2*o = 21*b - 20*b - 21. Suppose -z - z - 2*s + 36 = 0, -82 = -4*z - 2*s. What is the remainder when z is divided by o?
11
Let c(z) = -2*z + 9. Let u be ((-43)/3 - -3) + (-3)/(-9). What is the remainder when c(u) is divided by 18?
13
Let b = 3495 - 3437. Suppose r - 27 = -2*r. Calculate the remainder when b is divided by r.
4
Let g(o) = -o**3 + 2*o**2 - o + 2. Let z be g(2). Let w be 1/2 + 42/4. Let l = w + z. What is the remainder when 21 is divided by l?
10
What is the remainder when 422 is divided by (-7)/((-7)/30) - (28 - 23)?
22
Let z(w) = -w**2 + 4*w - 1. Let n be z(3). Let u be -1*(n + 3 + -1). Calculate the remainder when 4/16 - 187/u is divided by 12.
11
Let k be (-2 + 3)*(1 + -1). Suppose -3*a = -3*x + 12, k = a + 3. Suppose -3*v - x = -10. What is the remainder when 4 is divided by v?
1
Let p = -27 + 91. What is the remainder when 125 is divided by p?
61
Let d(f) = -5*f + 37. Calculate the remainder when 267 is divided by d(2).
24
Let t = 409 - 345. Calculate the remainder when t is divided by 6.
4
Suppose 5*g = 2*f - 65, 0*f - f + 5*g = -25. What is the remainder when 199 is divided by f?
39
Suppose 470 = -10*b + 1050. What is the remainder when b is divided by 26?
6
Suppose 175 = -901*m + 902*m. Calculate 