t is the remainder when m is divided by 11?
5
Suppose 20 = 5*h, 2*f = 4*f - 2*h - 70. Calculate the remainder when f is divided by 14.
11
Suppose -q = 4*q. Suppose 2*j = -q*j + 26. Suppose -4*g - l + 0*l + 146 = 0, g + 2*l - 33 = 0. What is the remainder when g is divided by j?
11
Let x(f) = 34*f**2 + 3*f + 2. Let h be x(3). Let c = h + -224. Calculate the remainder when c is divided by 24.
21
Suppose -3*i = -16 + 4. What is the remainder when 17 is divided by (3/6)/(i/72)?
8
Suppose 2*x = 21 - 5. Let d(k) = -k**3 + 4*k**2 + 8*k - 9. Let l be d(5). Suppose 119 = l*n - 13. What is the remainder when n is divided by x?
6
Let x = 63 - 60. Suppose x*k - 33 = -5*j, 0*j - 3*j + 39 = -3*k. Calculate the remainder when 43 is divided by j.
7
Suppose 4*y - 6*d + 2*d = 220, 4*y = -4*d + 244. Suppose 0 = 43*k + 4 - 90. Suppose -k*i - y = -m - 5*i, 0 = i. What is the remainder when m is divided by 15?
13
Let y(x) = 2*x**2 - 12*x + 28. Calculate the remainder when 57 is divided by y(3).
7
Let o be (-20)/9 - 24/(-108). What is the remainder when (1 - o) + (-4 + 5)*4 is divided by 5?
2
Let n = 7 + -4. Let z be -1*3/(-3)*-3. What is the remainder when (-49)/z + 2/n is divided by 9?
8
Let q(k) = -2*k**3 - 12*k**2 + 2*k. What is the remainder when q(-7) is divided by 17?
16
What is the remainder when (1086/(-20) - 15/75)*-4 is divided by 23?
11
Let p(z) = 4*z + 1. Let d(v) = 12*v + 2. Let i(r) = 3*d(r) - 10*p(r). Let a be i(-6). What is the remainder when 37 is divided by (a - 2) + (2 - 0)?
17
Calculate the remainder when -2 - (7 - -1)*-2 is divided by (-116)/(-80)*5 - 2/8.
0
Let i(x) = -x**3. Suppose -5*l + 5*c = 0, l - 3 + 6 = -2*c. Let s be i(l). Calculate the remainder when 82 is divided by ((-3)/6)/(s/(-42)).
19
Let l be ((-33)/9 - -1)*3/2. Let x(y) = 2*y + 16. What is the remainder when x(l) is divided by 4?
0
What is the remainder when 197 is divided by (-59 + 11 + 8)*3/(-2)?
17
Suppose 55*g = 54*g. Suppose -9*y + 57 + 627 = g. Calculate the remainder when y is divided by 11.
10
Suppose 3*y = 5*o + 51, 2*y = 5*y - 2*o - 60. Calculate the remainder when 48 is divided by 2 - (y + 2)*-1.
22
Suppose -7*a - 241 = -353. What is the remainder when 42 is divided by a?
10
Let s be (3 - 18)/(-3) - (6 + -5). Suppose s*q + 1926 = 22*q. Calculate the remainder when q is divided by 28.
23
Suppose 4*h - 4*z - 900 = 0, -4*h + 333 = 5*z - 603. Calculate the remainder when h is divided by 48.
37
Let b be (-437)/114 + 2/(-12). Let a(t) = t**2 - 3*t - 2. What is the remainder when ((-2)/(-4))/(b/(-376)) is divided by a(6)?
15
Let o(v) = -5*v**2 - v + 4. Let d be o(-2). Let j = d + 17. Suppose -j*z - 153 = q - 6*q, -5*z = -20. What is the remainder when 65 is divided by q?
32
Let i = -37 - -41. Suppose 74 = i*n - 2*n. Let y = -10 + 20. What is the remainder when n is divided by y?
7
Let t(o) = 22*o - 10. Let n be t(-8). Calculate the remainder when (n/(-8))/(6/16) is divided by (-34 - 1)*(60/25 + -3).
20
Let u(b) = -4 + 3 + 118*b**2 + 2 - 2*b. Suppose -66 = -61*i - 5. What is the remainder when u(i) is divided by 30?
27
Let w(z) = 12*z**2 + 535*z - 130. Suppose 3*s - 2*t - 52 = 0, -s - t + 14 = -0*t. Calculate the remainder when w(-45) is divided by s.
15
Let o(v) be the third derivative of v**4/2 - 5*v**3/6 + v**2. Calculate the remainder when o(2) is divided by 12.
7
Let n(p) = 4*p - 23. Let u(x) = x - 1. Let z(f) = n(f) + 5*u(f). Calculate the remainder when 37 is divided by z(4).
5
Suppose -7*p + 2*p = -130. Suppose 46 = 3*q + 4*y, q - 6*q = -5*y - 65. What is the remainder when p is divided by q?
12
Suppose -2*x - 29 = -3*h - 4*x, 4*h - x = 57. Suppose 5*z - 27 = 3*v, 5*v + h = v - z. Calculate the remainder when 9 is divided by 27/15 - v/20.
1
Calculate the remainder when (142/2)/1 - 2 is divided by ((-14)/42)/(5/(-360)).
21
Let g(u) = 4*u - 12. Let j be g(3). Suppose j = -l + 4*c + 9, 3*l + 3*c - 34 = 8*c. Calculate the remainder when 64 is divided by l.
12
Let v(f) = -33*f**2 - 4*f + 4. Let z be v(2). Let g = z - -157. What is the remainder when 40 is divided by g?
19
Suppose 2*f - 48 = -3*u, 2*f + 2*f = -5*u + 80. Suppose 36*m - 1097 - 595 = 0. What is the remainder when m is divided by u?
15
Suppose -1036*n + 90 = -1030*n. Calculate the remainder when 53 is divided by n.
8
Let l(w) = -6*w - 6. Suppose -4*z - 4 = 4. What is the remainder when 14 is divided by l(z)?
2
Let l(d) = 5*d - 18. Suppose -10 = 3*c + 32. Let u = -5 - c. Calculate the remainder when l(14) is divided by u.
7
What is the remainder when 101/(11/33*3) is divided by 28?
17
Suppose 8*f + 20 = 12*f. Suppose w - f*w = -36. Calculate the remainder when (0 - -3) + (51 - 1) is divided by w.
8
Suppose 259 = -5*j + 969. Calculate the remainder when j is divided by 48.
46
Suppose -2*m = 4*z - 7*z + 133, 271 = -4*m + 5*z. Let t = m + 99. Calculate the remainder when 97 is divided by t.
22
Suppose 14*x = 16*x - 18. Suppose -r + 0 = h - 36, -5*r - 2*h + 177 = 0. Calculate the remainder when r is divided by x.
8
Suppose -q = -3*q + 12. Suppose 5*f + 3*n - 267 = n, 0 = -5*f + 2*n + 263. Calculate the remainder when f is divided by (-308)/(-21) - 4/q.
11
Let l(u) = 3*u + 2*u + 7 - 6. Calculate the remainder when 161 is divided by l(8).
38
Let c be (-3)/1*4/(-3). Suppose 0 = c*x - 12 - 472. Suppose -3*l - 2*g = -x, 5*g + 234 = 5*l + 74. What is the remainder when l is divided by 13?
11
Let y(z) = z + 25. Let n(p) = p**2 + 2*p + 1. Calculate the remainder when y(3) is divided by n(-4).
1
Let p(z) = -z + 6. Let c(d) = d**2 - 6*d + 4. Let v be c(6). Suppose 4*y = v*i + i + 28, 0 = -2*y - 5*i + 14. What is the remainder when y is divided by p(4)?
1
Suppose 0 = -11*q - 22*q + 2244. Calculate the remainder when q is divided by 35.
33
Suppose -72 = -0*d - 8*d. What is the remainder when -3 - -2 - (d + -87) is divided by 16?
13
Suppose 21 = 2*w + 3*k + 2*k, -3*w = -k - 23. Let z(o) = 8*o + 3. What is the remainder when z(w) is divided by 17?
16
Suppose -1 = -5*v + 19. Suppose 20 = y + v*y. Suppose -3*p + 4*p = -y*t + 27, 5*p = -5. What is the remainder when 17 is divided by t?
3
Let n be ((-6)/6)/((-2)/58). Suppose 43 + n = 4*f. Suppose -l = -4*l + f. Calculate the remainder when 16 is divided by l.
4
Suppose j + 5*q + 76 = 5*j, 3*j = -q + 38. Suppose 3*o = 2*y + 41, 0*o + o - y = j. Calculate the remainder when 51 is divided by o.
12
Suppose 2*f + 2*d - 11 = f, -3*f + 27 = 3*d. What is the remainder when 65 is divided by (-1125)/(-105) + 2/f?
10
Suppose -240*k - 15 = -243*k. Calculate the remainder when 98 is divided by k.
3
Let l(p) = 23*p**2 - 1. Let m be (8 + -5)*2/6. What is the remainder when 42 is divided by l(m)?
20
Suppose 5*r + 21 - 71 = 0. Let b be 1/(-2 + 138/68). Suppose b - 142 = -4*n. Calculate the remainder when n is divided by r.
7
Let s(l) = 44*l**2 - 10*l - 27. What is the remainder when s(-2) is divided by 20?
9
Let q(k) be the third derivative of k**6/60 - k**5/60 + 3*k**3/2 - 30*k**2. What is the remainder when q(3) is divided by 11?
10
Let g be -3 + (-13)/(-3 + 4). Let w = -9 - g. What is the remainder when 18 is divided by w?
4
Suppose 0 = -5*m + 3*i + i - 18, -2*i - 36 = 5*m. Let t(s) = s**2 + 2*s - 15. What is the remainder when 62 is divided by t(m)?
8
Let f(m) = 75*m - 5. Calculate the remainder when f(1) is divided by 37.
33
Suppose 4*x = 2*x. Suppose -2*d + 3*v + 10 = -37, 3*v - 15 = x. Calculate the remainder when d is divided by (-3)/((-33)/45 - 22/(-55)).
4
Let b = 34 + -11. Let s(h) = -h**2 - 15*h - 67. Let o be s(-5). Let d = b + o. What is the remainder when 17 is divided by d?
5
Let k = -1001 + 1186. Calculate the remainder when k is divided by 93.
92
Suppose f + 0*s - 46 = s, -2*f - 4*s + 74 = 0. Let c(y) = -y**2 - 6*y + 6. What is the remainder when f is divided by c(-3)?
13
Calculate the remainder when 116 is divided by (-6 + 12)*(1 + 2/4).
8
Let z(n) = 2*n + 40. Let g be z(-15). Let t = 35 - g. What is the remainder when t is divided by 8?
1
Let s(f) = f - 1. Let l(c) = -3*c + 177. Let r(z) = l(z) + 5*s(z). Let o be r(0). Suppose -47 + o = 5*b. Calculate the remainder when 74 is divided by b.
24
Suppose 12 = -3*k, -36 = -5*l + l - k. What is the remainder when 44 is divided by l?
4
Suppose -39 = -3*t - 4*q - 5, 0 = -2*t - 2*q + 26. Suppose d = 21 + 13. Calculate the remainder w