 = p. What is the remainder when y is divided by (-67 - -90)*(1 - 0)?
18
Suppose 5*j = -176*v + 173*v + 115, -v = -3*j - 29. Let u = -41 - -66. Let s = v - u. Calculate the remainder when 28 is divided by s.
8
Let m(i) = i**3 + 4*i**2 - 4*i + 2. Let b be m(3). Let j = b + -34. Suppose 38*s + 47 - 2859 = 0. What is the remainder when s is divided by j?
17
Let a(o) = 6*o**2 - 34*o - 5. What is the remainder when 471/12 + (-1)/4 is divided by a(6)?
4
Let c = -24 + 26. Suppose -3*d + 28 = c*g - d, -3 = -3*d. What is the remainder when 51 is divided by g?
12
Let d(p) be the second derivative of -2*p**4/3 - p**3/6 + p**2/2 + 3*p. Let u be d(1). Let v = u - -32. Calculate the remainder when 47 is divided by v.
23
Suppose -10*h = -152 - 438. Calculate the remainder when h is divided by 30.
29
Let n(i) = 33*i**2 - 21*i + 33. What is the remainder when n(2) is divided by 21?
18
Let u = 283 + -240. Calculate the remainder when u is divided by 41.
2
Let m = -66 + 42. Let z = -19 - m. Calculate the remainder when 27 is divided by z.
2
Suppose 0 = -23*n + 33*n - 230. Let c(i) = -i**3 + i**2 + i + 2. Calculate the remainder when n is divided by c(-2).
11
Let k(n) = -7*n**2 + 86*n - 14. What is the remainder when 167 is divided by k(12)?
7
Let t = -2 + 17. Suppose p = -5*a + 6*p + t, -4*a - 4*p + 12 = 0. Suppose 0 - 16 = -4*m. What is the remainder when m is divided by a?
1
Suppose 12 = 2*o + 2*o. Suppose q - 13 = o*p - p, -5*q = 5*p - 5. Suppose q*j + 8 = 9*j. What is the remainder when 6 is divided by j?
0
Let k(d) = 60*d. Let p be k(1). What is the remainder when (1 - p)*2/4*-2 is divided by 21?
17
Let f = 493 - 470. Calculate the remainder when 137 is divided by f.
22
What is the remainder when (-2 - 5) + (-3 - -655) is divided by 81?
78
Let s = 305 + -254. Calculate the remainder when 303 is divided by s.
48
Let q = 100 - 100. Suppose 77 = 4*t - 3*x, t - 5*x - 32 = -q*t. Calculate the remainder when t is divided by 3.
2
Suppose -2*k + 100 = 98. Calculate the remainder when 97 is divided by k.
0
Let m = 94 + -36. Let k(v) = -20*v - 50. Calculate the remainder when m is divided by k(-3).
8
Let c(j) = -j**2 + 2*j + 1. Let q be c(3). Calculate the remainder when 62 is divided by (-2*34/(-4))/((-2)/q).
11
Suppose 4*t = 3*s - 7*s + 44, 5*s - t - 31 = 0. Calculate the remainder when 32 is divided by s.
4
Let h = -94 + 96. Suppose 0*z + d = -4*z + 64, 80 = 5*z + h*d. Calculate the remainder when 78 is divided by z.
14
Let t(z) be the second derivative of -13*z**3/6 + 3*z**2/2 + 2*z. Let x(b) = 14*b**2 - b - 1. Calculate the remainder when t(-4) is divided by x(-1).
13
Suppose -p - 4*u - 166 = -6*p, -2*p - 2*u = -52. Suppose p*g = 26*g + 52. Suppose -6*s + 28 = -2*s. Calculate the remainder when g is divided by s.
6
What is the remainder when 969 + 16 + -10 + -4 is divided by 108?
107
Suppose -l - 4*d + 22 = 0, 0 = l - 4*d - d + 23. Suppose 3*h = -l*h + 4*k + 48, -4*h - 3*k + 57 = 0. Calculate the remainder when 20 is divided by h.
8
Let b(v) be the second derivative of -v**4/12 - 5*v**3/2 + v**2 - 19*v. What is the remainder when (31/2*2)/1 is divided by b(-14)?
15
Let i(g) = 19*g**2 - 4*g + 3. Calculate the remainder when i(3) is divided by -10 - (-291)/30 - (-3304)/80.
39
Suppose 643 + 292 = 5*w. Suppose w + 93 = 10*a. Suppose 5*c - 3 = 52. Calculate the remainder when a is divided by c.
6
Let q(d) = 2*d + 2. Let n be q(-6). What is the remainder when 45 is divided by 29 - (0 - (n - -5))?
21
What is the remainder when 4443/6 + 42/12 + -2 is divided by 93?
91
Let q = -137 + 239. Suppose -2*l = 4*l - q. What is the remainder when 66 is divided by l?
15
Suppose 0 = 3*f - 1 - 68. Calculate the remainder when 110 is divided by f.
18
Let x(y) = 2*y**2 - 11*y - 2. What is the remainder when x(15) is divided by 19?
17
Suppose 0 = 5*o + 10, -5*m + 4*o + 17 = -2*m. Suppose 0*h - 48 = -m*q - 2*h, 0 = 5*h. Let w = -704 - -735. What is the remainder when w is divided by q?
15
Let j(t) = 27*t - 143. What is the remainder when 108 is divided by j(6)?
13
Calculate the remainder when (972/90)/(6/140) is divided by 129.
123
Suppose 3*u = -2*s + 5*s + 96, 0 = -2*u - s + 61. What is the remainder when 244 is divided by u?
27
What is the remainder when (-6255)/(-153) - 2/(-17) is divided by 2/((-4)/6) + 14?
8
Let u = 9 + 41. Let c be ((-4)/6)/(-1) - 20670/(-234). Let z = -72 + c. Calculate the remainder when u is divided by z.
16
Suppose 5*a + 0*h - 21 = -3*h, 12 = 3*a + 2*h. Let d be 7*-2*(-3)/a. Suppose d*p = 2*p + 135. What is the remainder when p is divided by 7?
6
Suppose -11 = -5*n + 4. Let y(s) = 3*s**2 + 3*s. Suppose x + 4 - 2 = 0. What is the remainder when y(x) is divided by n?
0
Let f(z) be the first derivative of z**3/3 + z**2 - z - 3. Suppose -10 = -s - 3*l, 4*s + 45 = -0*l + 5*l. Calculate the remainder when 40 is divided by f(s).
12
Suppose -5*f + n = -346, -6*f + 11*f + 3*n = 362. Calculate the remainder when f is divided by 18.
16
Let z(a) = a + 22. Let w be 1/(6/(-90)*6/(-2)). Let y(u) = -u**3 + 7*u**2 - u - 3. What is the remainder when y(w) is divided by z(0)?
20
Let q = 13 - 4. Suppose -5 = i, -2*v + 0*i = 3*i + q. Suppose 0*s + 216 = v*s. Calculate the remainder when s is divided by 25.
22
Suppose 0 = 3*k + 1039 - 1195. What is the remainder when 310 is divided by k?
50
Let a(n) = -n + 73. Calculate the remainder when 526 is divided by a(29).
42
Let s = -200 + 206. Calculate the remainder when s is divided by 3 + 1*(-2 - -1).
0
Let a = 30 + -24. Suppose a*p - 2*p = 68. Calculate the remainder when p is divided by 10.
7
Let y = -233 + 449. Let r be ((-4)/(-6))/(2/y). Suppose 2 = -0*j + j, -r = -4*i - 2*j. Calculate the remainder when i is divided by 9.
8
Let k be -1 + 0 - (-4)/12*6. Suppose -k - 1 = m, b - 17 = 4*m. Suppose -5*n + 89 = -81. Calculate the remainder when n is divided by b.
7
Suppose 4 = -2*i + i. Let l = 6 - i. Suppose 5*g = -3*x - 1 + 67, -4*x + 2*g = -114. Calculate the remainder when x is divided by l.
7
Suppose 100 = 4*s - 0*s. Suppose 2*u + 2*o = -124, 5*u + 3*o + 252 = u. Let c = u - -73. What is the remainder when s is divided by c?
4
Suppose -5*m + 0*m + 116 = a, 5*a - 76 = -4*m. Suppose -6*o = -4*o - m. Calculate the remainder when 118 is divided by o.
10
Let o = -46 + 145. Calculate the remainder when 318 is divided by o.
21
Let y(w) = -2*w + 63. Calculate the remainder when y(8) is divided by 17.
13
Suppose 2*m - 60 = -4*y + 224, 5*y = 4*m + 329. Let g = -6 - -6. Suppose g = 4*k - y + 13. Calculate the remainder when 40 is divided by k.
12
Suppose -t + 2*g = -66, 3*g + 269 = -5*t + 9*t. What is the remainder when 337 is divided by t?
65
Suppose -30*d + 553 = -23*d. Suppose 3*l - l = 80. What is the remainder when d is divided by l?
39
Let n(r) = 4*r - 6. Let i(d) = -35*d + 1. Let l be i(-2). Suppose -2*b + 3*b = 2*g - l, -4*g = 2*b - 162. What is the remainder when g is divided by n(4)?
8
Let w(j) = j + 0*j**2 - 3 - 2*j**3 + 2*j**2 + 0 + 4. Calculate the remainder when w(-2) is divided by 5.
3
Calculate the remainder when 32 is divided by (55/(-110))/((-2)/(-56)*-1).
4
Calculate the remainder when (8 - 25/3) + (-422)/(-6) is divided by 36.
34
Suppose -12 = -3*i, -3*m = -2*i - 827 - 1670. Calculate the remainder when m is divided by 120.
115
Let y = 1444 - 1418. What is the remainder when 465 is divided by y?
23
Suppose i - 68*h + 67*h = 163, 0 = 5*h. Calculate the remainder when i is divided by 15.
13
Let x = -23 + 31. Let z = x + 6. What is the remainder when 24 is divided by z?
10
Suppose 0 = -54*p + 37*p + 238. Let x = 25 - -1. What is the remainder when x is divided by p?
12
Let a(k) = 11*k + 2*k - 8 - 4*k. Suppose 3*t - 88 = -4*d, d + 4*t - 2*t - 27 = 0. What is the remainder when a(9) is divided by d?
16
Suppose -h + d + 2*d + 58 = 0, 5*h - 385 = -4*d. What is the remainder when 654 is divided by h?
70
Let l(x) = -x**3 + 13*x**2 - 10*x + 2. Let n be l(12). Suppose 0 = 3*o - z - 11 - 3, 5*o = z + n. What is the remainder when 33 is divided by o?
3
Let v = -64 + 60. Let z(i) = 2*i**2 + 2*i - 9. Calculate the remainder when 43 is divided by z(v).
13
Suppose -3*q - 5*i + 337 = 0, 3*q - 2*q - 115 = -i. Let n = q - 109. Calculate the remainder when 59 is divided by n.
9
Suppose -20*r + 252 = -2*r. Calculate the remainder when 263