r when 40/15 + -4 + 22/s is divided by 5.
1
Let a = 557 + -537. What is the remainder when 119 is divided by a?
19
Let t be ((-1)/1)/(12/(-36)). Suppose 150 = 4*v - s - 31, s = t*v - 136. What is the remainder when 132 is divided by v?
42
Suppose -2*n + 170 = 2*o, 4*n + 3*o - 452 + 107 = 0. Let w = 115 - n. What is the remainder when 46 is divided by w?
21
Let k(y) be the third derivative of -y**4/12 + 7*y**3/6 + 13*y**2. What is the remainder when 27 is divided by k(0)?
6
Suppose 2*h - 15 = -7. Suppose -13*i - h*i = -1802. What is the remainder when i is divided by 36?
34
Suppose -5 = -x - 3. Suppose -3*c + 4*m = -x*c + 50, 3*c = 4*m - 142. What is the remainder when (-10)/4*(c + 0) is divided by 29?
28
Let c = 241 - 231. What is the remainder when 199 is divided by c?
9
Suppose 2250 = 390*z - 381*z. What is the remainder when z is divided by 18?
16
Suppose 56 = 2*f + 2*f. Suppose 106 = -2*v + 4*l, 0 = v - l + 3*l + 73. Let z = v + 117. Calculate the remainder when z is divided by f.
12
Let j = 5 - -16. Suppose 6 = -w + 30. Suppose -11*x + w = -7*x. Calculate the remainder when j is divided by x.
3
Suppose 2*p + 5*h - 19 = 0, -2*h + 5*h = 4*p - 25. Suppose -5*z + 2 = p. Let u(y) = -19*y**3 + 1. Calculate the remainder when 38 is divided by u(z).
18
Suppose 0 = -11*r - 9 - 101. Let w = r - -23. What is the remainder when 114 is divided by w?
10
Calculate the remainder when 202 is divided by 2 - (-59 + -3 + -2).
4
Suppose -4*a - 44 = -2*z, 5*a - 12 = -z + 3. What is the remainder when 177 is divided by z?
17
Suppose -6*b = -1582 + 34. What is the remainder when (2 - 4)/(((-12)/b)/2) is divided by 29?
28
Suppose -a + 13 = -i, 41 = -5*i + 2*a - 39. Let p = 36 - i. Calculate the remainder when p is divided by 15.
9
Suppose 3*r = -4*r + 14. Let g(h) = h + 7. Let o be g(-5). Suppose 10 = o*i - 2. What is the remainder when i is divided by r?
0
Suppose 1071 - 891 = 5*f. What is the remainder when f is divided by 19?
17
Suppose -8*t + 4*j = -5*t - 38, 0 = -2*t + 4*j + 32. What is the remainder when 57 is divided by t?
3
What is the remainder when 3 + -17*(-3)/3 is divided by 3*2/12*(30 + -8)?
9
Suppose 0 = 3*k - 2*k - 6. What is the remainder when k/(-6)*-1*(33 + -2) is divided by ((-16)/(-5))/(3/15)?
15
Suppose 4*j = -0*j - v + 318, 2*j = -5*v + 150. Suppose 3 = -2*f + 13, 0 = -2*o - 2*f + 52. What is the remainder when j is divided by o?
17
Let z(l) = l**2 + l + 4. Let h be z(-4). Let n = h - -14. Calculate the remainder when n is divided by 16.
14
Suppose -26 = -2*a - 2*h, -h + 62 = 4*a + h. What is the remainder when 30 is divided by (-42)/(-4) + (a/(-12) - -2)?
8
Let a = -66 - -138. Suppose -4*u = 4*y + y - 95, -a = -4*y - 4*u. What is the remainder when 136 is divided by y?
21
Suppose -4*g - 17 = j, 3*g + 34 = 3*j - 2*g. Suppose c + 138 = j*c. Let d = 273 + -255. What is the remainder when c is divided by d?
15
Let r(u) = -u - 3. Let z be r(-6). Let k be 0/((-40)/8 - -7). Suppose 2*v = d + 88, z*v + d = -k*d + 137. Calculate the remainder when v is divided by 23.
22
Let f = 83 - 131. Let q be (0 + -1)/(0 - 1). Calculate the remainder when ((-2)/3)/(q/f) is divided by 11.
10
Suppose -5*h + 0*h + 70 = 0. What is the remainder when (-11)/(-13) + -1 - 1527/(-39) is divided by h?
11
Suppose -5*h + 4*h + 97 = -4*a, 5*h - 449 = 2*a. What is the remainder when (-3)/(((-30)/(-4))/5) + h is divided by 44?
43
Suppose 0*g = -5*g + 20. Suppose c = g*c. Suppose 4*y - 8 = -2*l, c = 3*l - y + 5*y - 14. Calculate the remainder when 23 is divided by l.
5
Let h(o) = -o**2 - 9*o - 9. Let q be h(-8). Let c = q + 1. Let p(k) = -k + 4. Calculate the remainder when 6 is divided by p(c).
2
Suppose 5*a - k = 141, -a - k + 21 = -3*k. Calculate the remainder when 140 is divided by a.
24
Suppose -2*k = -4*t + 14, 13 = k + 2*t - 0*t. Suppose k*r - 12 = -3. Calculate the remainder when 20 is divided by r.
2
Suppose -2*k - 2 = -2*t, 4*t - 9*t = 4*k - 23. Suppose t*y = b + 202, 5*y = -4*b + 112 + 253. Let r = -9 + 27. What is the remainder when y is divided by r?
15
Suppose 928*l - 929*l + 22 = 0. Calculate the remainder when l is divided by 7.
1
Suppose 0 = 5*v + 3*z - 100, -4*v - 2*z + 80 = -3*z. Suppose 3*o - v = -5. Calculate the remainder when -4 + o - (3 + -25) is divided by 8.
7
Suppose 9*w = 20*w - 231. What is the remainder when (-2 + -3 + 13)*10 is divided by w?
17
Let u(q) = -4*q**2 - 2*q - 21. Let n be u(-10). Calculate the remainder when n/(-6) + 3/18 is divided by 17.
16
Let n = -12 - -16. Let v(k) = 2*k**2 - 5*k + 8. Calculate the remainder when v(n) is divided by 7.
6
Let z(c) = -6*c + 2. Let g be z(5). Let n(j) = 12*j**2 - 2*j + 1. Calculate the remainder when n(1) is divided by (-1)/4 - 119/g.
3
Calculate the remainder when 2 + (10 + -7 - (-54)/1) is divided by 16.
11
Let i be (-3)/5 - (-96)/10. Let r be 44/99*i/2. Suppose -r*j + 18 = 2. Calculate the remainder when 27 is divided by j.
3
Suppose p - 2*u - 1 = 0, -3*p + 27 = -0*p + 2*u. Suppose -5*o - 3*s = -84, -p*s = 4*o - 6*s - 70. Calculate the remainder when o is divided by 5.
3
Suppose 2*g - 25 + 1 = 0. Let t = g - -8. Calculate the remainder when t is divided by 6.
2
Let y = -229 - -391. Calculate the remainder when y is divided by 7/(-84)*-8 - 301/(-21).
12
Suppose 2*q - 9 + 1 = 0. Suppose 6*i + 7 = 5*l + 3*i, 0 = 2*l - q*i. What is the remainder when 4 is divided by l?
0
Let k(q) = -8*q**3 - q - 2. Let l be k(-2). Let v be 9/(-6)*l/(-3). Calculate the remainder when 38 is divided by (5/2)/(8/v).
8
Suppose -5*f - 3*o = -4 + 1, 3*f - 2*o + 2 = 0. Suppose -4 + f = -n, -i - n + 64 = 0. Calculate the remainder when i is divided by 21.
18
Suppose 5*h = -3*z + 299, 5*z + 4*h - 404 = z. What is the remainder when z is divided by 37?
29
Let o(t) = t**2 - 5*t - 15. Suppose 0 = -j - j - 2. Let d be j/(-3) - (-76)/(-12). Calculate the remainder when o(d) is divided by 13.
12
Suppose -21 + 0 = -7*i. Suppose -i*u - 2*h + 240 = 61, 2*h = 5*u - 325. What is the remainder when u is divided by 12?
3
Suppose 7*t + 324 = 13*t. Suppose t*n - 52*n = 126. What is the remainder when n is divided by 16?
15
Let y = 454 - 435. Calculate the remainder when 340 is divided by y.
17
Let j = -9451 + 9459. Calculate the remainder when j is divided by (3/(-5))/(2/(-10)).
2
Let z = 1289 - 1085. What is the remainder when z is divided by 69?
66
Let t = -47 + 103. Suppose -133 = -4*r - 5*z, -2*r - r = -5*z - t. What is the remainder when r is divided by 5?
2
Suppose 3*s = 9*s - 186. Let c(h) = 2*h**2. What is the remainder when s is divided by c(2)?
7
Suppose 10 = 2*k + 30. Let s = 18 + k. Let f(j) = -10*j - 147. What is the remainder when s is divided by f(-15)?
2
Let t(k) = k**2 + 3*k + 2. Let f be t(-1). Let v = -9 - -11. Suppose -5*d = i - 12 - 6, -i - v*d + 12 = f. What is the remainder when 21 is divided by i?
5
Let x be (-1)/(-2)*(-5 - -25). Suppose -4*l + 4*k + 20 = 0, -3*k = 2 + x. What is the remainder when (-2)/(-4)*(-1 + 3) is divided by l?
0
Suppose -2*p - 1 = -5, 5*p + 20 = -2*y. What is the remainder when 73 is divided by (-1)/((8/y)/8)?
13
Let n(a) = a**3 - 4*a**2 + 13*a - 46. What is the remainder when n(11) is divided by 50?
44
Let u(l) = 16*l + 8. Suppose 0 = -5*f - 0 + 105. Calculate the remainder when f is divided by u(0).
5
Let y = -62 + 98. Let n(b) = -b + 8. What is the remainder when -1 + 764/y - 12/54 is divided by n(0)?
4
Suppose 88 = 5*i - 12. Suppose -4*n + i = 3*j, -4*n - 16 = -3*j - 6*n. Calculate the remainder when 6 is divided by j.
2
Let t be 1/2 + 158/(-4). Let x = t - -55. What is the remainder when 46 is divided by x?
14
Let j = 111 - 162. Let l = j - -87. What is the remainder when 214 is divided by l?
34
Let o be ((-4)/8*-1)/(2/24). Suppose -o*c - 8 = -44. Calculate the remainder when 27 is divided by c.
3
Let h(s) be the first derivative of -17*s**2/2 - 2*s + 12. What is the remainder when 57 is divided by h(-1)?
12
Let r(s) = -277*s**2 + s + 1. Let b be r(2). Calculate the remainder when b/(-13)*(-4)/(-10) is divided by 9.
7
Suppose -2*l + 81 = l + 3*j, 5*l - j = 123. Let r = 694 - 622. Calculate the remainder when r is divided by l.
22
Let d = -254 - -113. Calculate the remainder when (0 + -2)*d/6 is divided by 16.
15
Suppose -2*k - 4 = 0, -2*o + 3*o = -2*k + 28. Suppose c - 5*n = -3*n + 18, 