is divided by 19?
10
Calculate the remainder when 5632/55 + 10/(-25) is divided by 52.
50
Suppose 2*p - 6*p = -20. Suppose p*g = 4*d - 100, 25 = -d + 2*d + 5*g. What is the remainder when d is divided by 10?
5
Suppose 3*a - 8*a - 205 = 0. Let f = -28 - a. Suppose 173 = 5*k + 4*l, l - 2*l = 3*k - 108. What is the remainder when k is divided by f?
11
Suppose -2*s + 15*s = 78. Suppose s + 3 = m. What is the remainder when 52 is divided by m?
7
Suppose 11*l - 4*l - 238 = 0. What is the remainder when l is divided by 12?
10
Suppose -28*y + 1532 = -1352. What is the remainder when y is divided by 11*3 - (3 + -6)?
31
Let w(x) = x**2 + 10*x + 12. Let k be w(-9). Suppose -k*u + 0*u = -60. Calculate the remainder when u is divided by 7.
6
Suppose 8*y + 108 = 12*y. Suppose -5*q + l = -77, 3*q + 3*l - l = 41. What is the remainder when y is divided by q?
12
Let f(u) = -2*u**2 - 29*u + 6. Calculate the remainder when 132 is divided by f(-13).
42
Calculate the remainder when (6 + -7)/((-2)/(-212)*-2) is divided by 24.
5
Suppose 2*k + 800 = 3*j, -2*j - 112 = 5*k - 639. What is the remainder when j is divided by 32?
10
Suppose -29*r = -41*r + 72. What is the remainder when 63 is divided by r?
3
Let f = 429 - 399. What is the remainder when 238 is divided by f?
28
Let q = 100 + -114. What is the remainder when -4 - 2188/q - (-2)/(-7) is divided by 17?
16
Let y be 0 + (3 - 3 - -1). Let s be (-4 - y)*42/(-10). Suppose u - 2*u = -s. Calculate the remainder when 40 is divided by u.
19
Suppose 0 = -4*t + 2*u + 48, 3*t + 4*u - 5*u - 38 = 0. What is the remainder when t is divided by 5?
4
Let a(i) = 5*i + 2. Suppose s - 23 - 33 = 0. Suppose 0 = -3*g - 5*w + s, 5*g + w - 64 = -0*w. Calculate the remainder when a(4) is divided by g.
10
Suppose -2*u - 5*y - 46 = -226, -u - y + 90 = 0. Calculate the remainder when 354 is divided by u.
84
Suppose -8*o + o + 1554 = 0. Let n = 33 + o. What is the remainder when n is divided by 43?
40
Suppose 8*d = 4*d + 60. Suppose -2*b + 5*b - 21 = 0. Suppose -k - 1 = -b. Calculate the remainder when d is divided by k.
3
Let i(l) = 39*l + 3. Let w be i(1). Let v = w - 35. Let t = -11 + 15. What is the remainder when v is divided by t?
3
Let r(u) = u + 550. Calculate the remainder when r(-26) is divided by 21.
20
Let s(h) = 133*h - 29. What is the remainder when s(1) is divided by 27?
23
Suppose -3*o = 3*m - 545 - 3346, 5*o = -4*m + 5191. What is the remainder when m is divided by 429?
7
Suppose 12 = 3*o - 30. Let b(n) = -3*n + 5. Let i be b(-6). Let q = i - -30. Calculate the remainder when q is divided by o.
11
Let j(l) = 2*l**3 - 3*l**2 + 3. Let m be j(3). Suppose 4*t - r = m, -3*t = -0*r - 4*r - 16. Calculate the remainder when 13 is divided by t.
5
Let h(s) = -2*s**2 - 88*s - 343. What is the remainder when (-1152)/(-5) - (-10)/(-25) is divided by h(-5)?
42
Suppose 2*h - d = 256 + 89, -4*d = -4*h + 680. What is the remainder when h is divided by 88?
87
Let q(h) = 12*h + 131. Calculate the remainder when q(-10) is divided by 3.
2
Suppose u - 19 = 12. Let j = 28 + -29. Let k = j - -12. What is the remainder when u is divided by k?
9
Let n = -441 - -448. Calculate the remainder when 131 is divided by n.
5
Let s(k) = 22*k + 6. Let r be -1 - (-2 - (3 - 0)). Calculate the remainder when s(r) is divided by 48.
46
Let f(r) = 6*r - 3. Let u(l) = 17*l - 8. Let o(y) = -11*f(y) + 4*u(y). Calculate the remainder when 26 is divided by o(7).
11
Suppose 2*n = -0*n + 520. Suppose -4*r + n = -0*r + 3*q, -4*r = -3*q - 284. Suppose -25 - 31 = -4*m. What is the remainder when r is divided by m?
12
Suppose -3775 = -5*r + 5*l, -5*l + 2144 = 3*r - 113. Calculate the remainder when r is divided by 6.
4
Let g(y) = 4*y - 14. Let z be g(3). What is the remainder when 25 is divided by z/((-55)/25 - -2)?
5
Let a = 64 + 13. Suppose 0 = -3*v + v - 2*r + 48, 5*v - 3*r - 88 = 0. What is the remainder when a is divided by v?
17
Suppose 2*z = z + 11. Suppose -22*y = -779 - 387. Calculate the remainder when y is divided by z.
9
What is the remainder when 219 is divided by (-6)/((860/24)/(-5) - -7)?
3
Suppose 0 = 43*k - 1041 + 181. What is the remainder when 43 is divided by k?
3
Let o(m) = 2*m - 29. Let r be o(17). Suppose -r*q = -18*q + 364. What is the remainder when 108 is divided by q?
24
Suppose -105 = -64*k + 59*k. Calculate the remainder when 335 is divided by k.
20
Let s(z) = z**2 - 2*z - 7. Let q be s(6). Let g = 35 - q. What is the remainder when 51 is divided by g?
15
Let r = -927 - -995. What is the remainder when r is divided by 16?
4
Let r(a) be the third derivative of -a**3 - 14*a**2 + 0*a + 0 - 1/24*a**4 + 1/30*a**5. Calculate the remainder when r(5) is divided by 11.
6
What is the remainder when 1919 is divided by (5/(-10))/(5/(-100))?
9
Let g(f) be the third derivative of -f**5/60 - 3*f**4/8 + f**3/6 - 8*f**2. Let t = 3 + 0. What is the remainder when g(-8) is divided by t?
0
Let u = 347 - 234. Let n = -89 + u. What is the remainder when n is divided by 9?
6
Suppose -2*i + 71 = -0*m + m, -4*i + 157 = -3*m. What is the remainder when i is divided by 10?
7
Let u = -46 - -91. Suppose u = 4*j + j. Suppose 0*z - 4*o = -z + 2, 5*z - 2*o - 10 = 0. What is the remainder when j is divided by z?
1
Let t be (-6)/((-44)/8 + 4). Suppose 6*f = f - g + 11, 5*f = t*g + 6. Let u(c) = c**3 - c**2 - c + 7. Calculate the remainder when u(0) is divided by f.
1
Let p(r) = r**2 + 11*r - 10. Let y be p(-12). Suppose 5*i = d - 2, -i - 6 = -y*d + 16. Suppose -d = -3*b - 0*b. Calculate the remainder when 8 is divided by b.
0
Calculate the remainder when 7 + 3/(21/14126) + 2 is divided by 13.
12
Suppose -4*s + 16*d + 284 = 11*d, -5*d + 20 = 0. What is the remainder when s is divided by 27?
22
Suppose 5*q - 18 = -3. Let d(b) = b**3 + 11*b**2 - b + 5. Calculate the remainder when 1 - (126/(-1))/q is divided by d(-11).
11
Let f = -167 + 207. Calculate the remainder when 76 is divided by f.
36
Suppose 20 = 96*f - 94*f. What is the remainder when 47 is divided by f?
7
Let b(a) = a + 21. Let y be b(-18). Suppose -x = j - 7, -y*j - j + 16 = -2*x. Suppose -6*k = -x*k - 16. What is the remainder when k is divided by 2?
0
Suppose 88*y = -q + 83*y + 873, 3*q - 2704 = 2*y. Calculate the remainder when q is divided by 12.
10
Suppose 2*n + m = -2*n - 5, -n + m = 0. Let g(l) = -26*l**3 - l**2 + l + 2. Let v(q) = -10*q. Calculate the remainder when g(n) is divided by v(-1).
6
Suppose -6*n = -1 - 23. Suppose 4*b = 4*f, f - 6*b + n = -b. Calculate the remainder when 4 is divided by f.
0
Calculate the remainder when -2 + -4 - (16 + -93) is divided by 21.
8
Suppose -8*k + 10 = -4*k + 2*a, 5 = 5*k - 5*a. Suppose -10 = 5*l, k*l - 106 = -4*d + 7*l. What is the remainder when 47 is divided by d?
23
Suppose 73 = 8*j + 9. Suppose -j*a - 25 = -41. Calculate the remainder when 3 is divided by a.
1
Suppose 4*o - 2 = 6. Suppose 5*t = -w + 6, -o*t = -w + t + 6. Suppose 0*i + i - 17 = 0. Calculate the remainder when i is divided by w.
5
Suppose 0 = -3*a + 5*t - 3*t, a + 2*t + 8 = 0. Let h = 17 - a. Let c = -17 + h. What is the remainder when 2 is divided by c?
0
Let i(b) = 111 - 17*b - 92 - b**2 + 2*b. Let r = -9 - -16. Calculate the remainder when r is divided by i(-16).
1
Let c(z) = -z + 4. Let w be c(0). Calculate the remainder when 28*-2*(-2)/w is divided by 6.
4
Calculate the remainder when 104 is divided by (-2660)/56*(0 + 4/(-5)).
28
Suppose 2*k - 3*w = -26 + 358, 0 = -3*w + 12. Suppose -3*p = -21 - 66. What is the remainder when k is divided by p?
27
What is the remainder when 130/3*30/25 is divided by 2 + -3 - (9 + -24)?
10
Calculate the remainder when 386 is divided by 1547/34 - (-6)/8*-2.
34
Let v = 12 - 5. Let d(k) = 2*k**2 - 4*k + 1 - v - 7*k**2 + k**3. What is the remainder when 11 is divided by d(6)?
5
Let g = -18 - -10. Let h = 0 - g. What is the remainder when ((-15)/(-4))/((-3)/(-12)) is divided by h?
7
Suppose -1191 = -8*d - 199. Calculate the remainder when d is divided by 45.
34
Let j = -58 + 141. Suppose b = 15 + 7. Calculate the remainder when j is divided by b.
17
Suppose 42*y - 54*y = -2004. What is the remainder when y is divided by 42?
41
Suppose 79*o - 170 = 74*o. What is the remainder when 135 is divided by o?
33
Let q = 135 + -130. Suppose -q*t + 93 = u, -3*u + 465 = 2*u - t. Wh