uppose -30 = -0*t - r*t. What is the remainder when x is divided by t?
13
Calculate the remainder when (14628/42)/1 + (-18)/63 is divided by 35.
33
Let k = -9 + 65. Suppose 3*b - 121 = 5*n, -3*n + 57 = 4*b - k. Calculate the remainder when b is divided by 11.
10
Suppose -3*m + 2*m + 13 = 0. Suppose 7 = -d + 5*r, 2*d - 28 = -0*d - 4*r. What is the remainder when m is divided by d?
5
Let c(g) = g**3 + 2*g**2 - 3*g. Let i be c(0). Calculate the remainder when (i + 19)/((-5)/(-20)) is divided by 27.
22
Let a = 1359 - 993. Calculate the remainder when a is divided by 10.
6
Let y = -19 + 21. Suppose 4*m + 20 = 0, 0*m - y*m = -4*p + 218. What is the remainder when p is divided by 19?
14
Suppose 2*d + 2*d = -384. Let m = 162 + d. What is the remainder when m is divided by 14?
10
Let n = -14 - -25. Let h = n + -5. Suppose -h*w + 3*w = -132. Calculate the remainder when w is divided by 9.
8
Suppose -2*l - 7 + 20 = n, -5 = -n. Let h = l + 12. What is the remainder when 534/9 + (-3)/9 is divided by h?
11
Let z be 2 + (-32)/4 + 0. Let k(m) = m**3 + 5*m**2 - 9*m + 7. Calculate the remainder when k(z) is divided by 7.
4
Suppose 21*w - 520 = -5*w. What is the remainder when 315 is divided by w?
15
Suppose -2*y + y = -11. Calculate the remainder when 13*2 + ((-195)/(-15) - 7) is divided by y.
10
Let o = -12 + 31. Let k be 3*3*(2 - 1). Suppose k*m = 22 + 23. What is the remainder when o is divided by m?
4
Let x = -64 - -67. Suppose 0 = x*b - 8*b + 65. What is the remainder when 100 is divided by b?
9
Suppose 0 = 5*b + 133 + 52. Let q = 54 + b. Let o(f) = f**3 - f**2 + 5*f - 4. Calculate the remainder when o(4) is divided by q.
13
Let a = 365 + -186. Suppose 0 = 2*k - 5*k + 363. Let b = a - k. Calculate the remainder when b is divided by 12.
10
Let u(w) be the third derivative of 1/6*w**4 - 3/2*w**3 + w**2 + 0 + 0*w. What is the remainder when u(7) is divided by 10?
9
Let z(p) = -3*p - 1. Let j(o) = -o - 22. Let f be j(-16). What is the remainder when 33 is divided by z(f)?
16
Let c = -6 - 4. Let g = -2 - c. Calculate the remainder when g is divided by 5.
3
Let t be (-9)/12 + (-22)/(-8). Suppose 5*p = -s + 43, 3*p - t*s - 31 = -0*s. What is the remainder when 17 is divided by p?
8
Let r(i) = -i**3 - 26*i**2 + 24*i - 64. Let a be 2*4/(-28) + 1122/(-42). Calculate the remainder when r(a) is divided by 10.
7
Let l(j) = 261*j - 57. Calculate the remainder when l(1) is divided by 41.
40
Let u(j) = -2*j**3 - 5*j**2 + 2*j - 3. Let d = 0 - -13. What is the remainder when u(-4) is divided by d?
11
Suppose -3*d + 5*d - 62 = -3*y, 0 = -2*d + 5*y + 94. Let i = -2 + d. Calculate the remainder when i is divided by 6.
5
Let d = -513 - -770. Suppose -215 - d = -4*o. What is the remainder when o is divided by 17?
16
Let r(j) = 23*j - 2. Let b(d) = -12*d + 1. Let y(p) = 5*b(p) + 3*r(p). Calculate the remainder when y(2) is divided by ((-6 - -3)*-2)/1.
5
Let t(u) = -u**3 - u**2 + 1. Suppose -3*o - 18 = 3*i, 0 = -o - o + 3*i + 8. Let d be t(o). Suppose -4*x + d = -7. What is the remainder when x is divided by 1?
0
Suppose 5*u = 86 + 39. Let j be -11 - (-2)/(2/(-1)). What is the remainder when u is divided by -3 - j/((-4)/(-4))?
7
Let d = -198 + 213. What is the remainder when d is divided by 4?
3
Let l(w) = -2*w - 2. Let d be l(-3). Let b be 6*(d/3 + -2). What is the remainder when 18 is divided by (4 - (-8)/b) + 3?
3
Let p be 63 + -1*(-4 - -3). Suppose -57*y = -53*y - p. What is the remainder when y is divided by 3?
1
Suppose 3*b - 27 = 3*k, -4*b - 2*k - 2*k = -12. Let n(o) = -2*o + 7. Let y be n(2). Suppose -y*a + 184 = 5*a. What is the remainder when a is divided by b?
5
Let w = 3 + -107. What is the remainder when (-12)/4*w/6 is divided by 11?
8
Suppose -3*n + 0*n = -d + 14, n - 1 = 0. What is the remainder when (420/10)/3 - -5 is divided by d?
2
Let y = -2114 - -2174. Calculate the remainder when 241 is divided by y.
1
Let w(p) = 2*p**3 + 16*p**2 - 2*p - 5. Let h be w(-8). Let u(t) = 11*t - 23. What is the remainder when u(h) is divided by 25?
23
Let d(g) = -g**3 + 4*g**2 - 2. Let w be d(4). Calculate the remainder when w*26/4*-2 is divided by 10.
6
Let i(u) = 2*u**2 - 16*u + 1. Let w be i(12). Suppose 2*y - 88 = -2*h, 2*y = -6*h + h + w. What is the remainder when y is divided by 6?
5
Let t(o) = -o**3 + 8*o**2 + 43*o + 4. What is the remainder when t(11) is divided by 46?
22
Let k(y) = -116*y + 17. Let z be k(-8). Calculate the remainder when 132 is divided by 1/4 - z/(-28).
30
Suppose -4*s + v = -403, -3*s = -6*s - 5*v + 331. Suppose -9*q + 78 = -s. What is the remainder when q is divided by 1?
0
Let q be (3 - 1)/(12/(-249))*-2. Suppose -5*i = -q - 122. Calculate the remainder when i is divided by 14.
13
Let q be 5 + 2 + -13 + 1 + 2. What is the remainder when 79 is divided by (-27)/(-4 + (-9)/q)?
25
Suppose 5*c - 8*c = 21. Let j = c - -36. Let q = -25 + 41. Calculate the remainder when j is divided by q.
13
Let i = -47 + 70. Calculate the remainder when i - (-4 - (-1 + -1)) is divided by 7.
4
Let k be (-4)/(-3) + (-500)/6. Let g = -42 - k. What is the remainder when g is divided by 21?
19
Suppose -g + 4*q = 3*g - 216, -4*g - q = -221. Calculate the remainder when g is divided by -8*(-3 + (-10)/(-5)).
7
Suppose 481 = 2*v + 99. Suppose -195 = 12*k - 9*k. Let w = v + k. Calculate the remainder when w is divided by 32.
30
Let v be -10*(-4 - 35/(-10)). Calculate the remainder when ((-2)/v)/2 + (-560)/(-50) is divided by 7.
4
Let w = 14 - -6. What is the remainder when w is divided by 13?
7
Let b(k) = k + 9. Let u be b(0). Let x = 50 - u. Calculate the remainder when x is divided by 14.
13
Let c(m) = -3*m**3 - 8*m**2 - 5*m - 2. Calculate the remainder when 58 is divided by c(-3).
14
What is the remainder when 64 is divided by (-98)/(-6) - (-105)/(-45)?
8
Suppose -38 = -l - 3*c, 0 = c - 2*c - 5. Suppose q - 4*j + j = -7, 0 = -j + 4. Suppose q*m - 12 = l. What is the remainder when m is divided by 5?
3
Let m(p) = p**2 + 5*p - 6. Let f be m(-6). Suppose 3*j + 3*r + 2*r - 284 = 0, 4*j - r - 348 = f. What is the remainder when j is divided by 45?
43
Suppose -38*m + 35*m + y = -11, 0 = 3*m + 3*y - 15. What is the remainder when 151 is divided by m?
3
Suppose 26*g - 30*g + 28 = 0. What is the remainder when 9 is divided by g?
2
Let m = -181 - -371. What is the remainder when m is divided by 51?
37
Suppose 3*z - z - 4*n = 22, -2*z = -5*n - 26. Suppose -23 = -2*p + 3*g + 91, 166 = z*p - 2*g. What is the remainder when p is divided by 12?
6
Let i be (1/2)/((-1)/(-22)). Let p(f) = -2*f + 2*f + 2*f - i. Calculate the remainder when 25 is divided by p(9).
4
Let v = -246 - -262. What is the remainder when 94 is divided by v?
14
Let l be (-9)/12 - 7/(-4). Let p(x) = x - 1. Let s(d) = -8*d**3 + d**2 - 8*d + 7. Let f(w) = -6*p(w) - s(w). Calculate the remainder when 13 is divided by f(l).
5
Let b be (0 + 8/(-28))/(2/(-56)). Suppose 3*f - 3*z - b = 2*z, 0 = 2*f - z - 10. Calculate the remainder when 56 is divided by f.
2
Suppose 6*a + 500 = 16*a. Calculate the remainder when 495 is divided by a.
45
Calculate the remainder when 97 is divided by 27 - ((-11 - -7) + 5).
19
What is the remainder when (-10 - -6)/(1/(-23)) is divided by 44?
4
Let k = 938 - 917. Let z = -28 - -111. What is the remainder when z is divided by k?
20
Suppose -4*m = -7*m - 3*c + 27, 3*c + 29 = 5*m. Let b be ((-1)/(-3))/(m/63). Suppose 3*l - b*r = -l, -12 = -3*r. What is the remainder when 3 is divided by l?
0
What is the remainder when (-30)/48*-4*(-552)/(-15) is divided by 21?
8
What is the remainder when 166 is divided by (-2 - (-1)/2)*3344/(-66)?
14
Let c(j) = 4*j - 12. Suppose -w + v + 25 = 0, 4*w - 4*v - 75 = -5*v. Let a = 31 - w. What is the remainder when c(11) is divided by a?
10
Suppose 3*i - 319 = 284. Calculate the remainder when i is divided by 74.
53
Let s = 21 - 6. Let r(b) = 5*b**3 - 4*b**2 - b. Let u(a) = a**3 + 1. Let f(t) = r(t) - 3*u(t). What is the remainder when f(4) is divided by s?
12
Suppose 8*d - 210 = 5*d. What is the remainder when d is divided by (-2 + -34)*(-6)/9?
22
Let f = 258 + -10. Suppose 3*p = 5*r - 273, 8*p - f = -4*r + 3*p. Calculate the remainder when r is divided by 12.
9
Let z(i) = 34*i + 225. What is the remainder when 101 is divided by z(-6)?
17
Suppose 8*p - 41 = 575. Suppose 0 =