pose 2*y + 3*m + 15 = 0, 0 = -3*y + 2*m - 0*m + 10. Let s = 145 - 12. Calculate the remainder when s is divided by 3 - (y - -1) - -32.
31
Suppose -4*j + x = -96, 5*x + 87 = 3*j + 15. Calculate the remainder when 429 is divided by j.
21
Calculate the remainder when 82 is divided by (-2)/8 - (-10)/8 - -31.
18
Let i = -136 + 230. What is the remainder when i is divided by 2*(-7)/(7/(-12))?
22
Let c(w) = -w**2 + 8*w - 3. Let x be c(7). Suppose -x*v + 0*v + 60 = 0. What is the remainder when 44 is divided by v?
14
Suppose 0*m + 5*r = -2*m + 120, 120 = 2*m + 2*r. Suppose -4*y - y + 4*d = -78, 0 = 4*y - 4*d - m. What is the remainder when 35 is divided by y?
17
Let f(o) = 6*o - 4. Let d be f(4). Suppose 6*j - d = j. Suppose 56 = 3*y - 0*l - j*l, y - 5*l = 15. What is the remainder when y is divided by 7?
6
Let j(c) = c + 11. Let a be j(-8). Suppose -h + 5 = -2*o - o, -23 = -a*h + 5*o. Let y(f) = f + 16. Calculate the remainder when 79 is divided by y(h).
25
Suppose 3*i + 8*i = 550. Calculate the remainder when i is divided by 13.
11
Let w(l) = 2*l**2 - 41*l - 52. Suppose -5*j = -0*j - 10. What is the remainder when w(22) is divided by 7 - (0/(-1) + j)?
4
Let s = -413 + 439. What is the remainder when 361 is divided by s?
23
Suppose 23*g = 19*g + 20. Suppose -5*b + 10 = -g, 0 = u - 3*b - 13. What is the remainder when u is divided by 12?
10
Let t(b) = 23*b - 79. What is the remainder when t(11) is divided by 44?
42
Let x be 12/(-10)*(-20)/6. Suppose w + 9 = x*w. Suppose -4*u + 5 = -w. Calculate the remainder when u is divided by 1.
0
Let q(x) = x**2 + x + 3. Let n = -101 + 58. Let w = n - -62. What is the remainder when q(-9) is divided by w?
18
Let z(s) = -2*s**2 + 5*s - 3. Let a be z(2). What is the remainder when 57 is divided by 58/(5 + -4 - a)?
28
Let z(b) = -2*b + 3. Suppose -x - 2*x + 169 = 5*n, 2*n + 2*x - 66 = 0. Suppose 4*i - 9*i + n = 0. What is the remainder when z(-4) is divided by i?
4
Let x = 1481 - 1456. What is the remainder when 206 is divided by x?
6
Suppose -2*q = -3*c + 2*q + 56, -2*c = -5*q - 49. Let g(z) = z**2 - 12*z + 6. Calculate the remainder when 39 is divided by g(c).
3
Let o = 281 - 253. Calculate the remainder when 164 is divided by o.
24
Suppose 5*o = -4*c + 8 + 20, 2*c - 20 = -4*o. Suppose 0 = -0*h + o*h. Suppose -k + h = -33. Calculate the remainder when k is divided by 17.
16
Let r = 9 - 6. Let v = r - -5. Let f(u) = -7*u - 106. Calculate the remainder when f(-17) is divided by v.
5
Let x be 55/20 + (-2)/(-8). Suppose 1 = i - x. Calculate the remainder when 10 is divided by i.
2
Suppose -3*j - 4*x = -226, 114 = -4*j - x + 411. Calculate the remainder when 194 is divided by j.
46
Let c be 24/(-9)*(-6)/4. Suppose -17*v = -16*v - c. What is the remainder when 8/12*66/v is divided by 6?
5
Let k = -4143 + 6440. Suppose -5*t - 4*a = 2820, 0 = -3*t + 7*t - 5*a + k. Calculate the remainder when t/(-15) + 2/15 is divided by 10.
8
Let c(p) = -5*p + 23. Let t be c(9). Let w = t - -24. Calculate the remainder when 4 is divided by w.
0
Let a(x) be the first derivative of x**2 - x + 1. Suppose -3*w - 3 = 0, 17*w - 19*w + 22 = 4*z. Calculate the remainder when 41 is divided by a(z).
8
What is the remainder when ((16464/(-18))/(-14))/(4/6) is divided by 11?
10
Let s = 32 - 25. Suppose -6*j = -s*j + 4. Calculate the remainder when j is divided by 4.
0
Suppose 2*g + 4 = -3*v - 2*g, -g - 1 = 5*v. Suppose -7*h + 2*h = v, 0 = 2*l + 5*h + 6. Calculate the remainder when 59 is divided by l/(-6) + (-58)/(-4).
14
Let p(g) = -18*g - 1. Let m be p(2). Let x = -18 - m. Calculate the remainder when 37 is divided by x.
18
Suppose 0*a = -v + 4*a - 6, v - a = 0. Let t = 7 - v. Suppose 77 = h + 2*h - 4*b, 5*b = -h - 6. Calculate the remainder when h is divided by t.
4
Let r = 3 + 47. Suppose 0*u = -5*u + r. Calculate the remainder when 38 is divided by u.
8
Suppose 28 = n + r, -n = -2*n + 2*r + 31. Let x = 172 - -8. Suppose 0*p - 2*p + 2*b + x = 0, -414 = -5*p - 4*b. What is the remainder when p is divided by n?
28
Let r = 0 - -43. Let l = 99 - r. Calculate the remainder when l is divided by 12.
8
Let o = -1554 + 1583. What is the remainder when 130 is divided by o?
14
Let z = 693 + -615. Calculate the remainder when z is divided by 34.
10
Let c = 11 + 28. Suppose -i = 3 - c. Calculate the remainder when i is divided by 13.
10
What is the remainder when 547 is divided by ((-8)/4)/(8/(-68))?
3
Let s = 22 - -8. Let q = s - 26. What is the remainder when 6 is divided by q?
2
Let h be ((-186)/(-9))/(-2 + 20/12). Let i = h - -77. What is the remainder when 68 is divided by i?
8
Suppose -16*n - 15 = -367. Suppose -23*g = -n*g - 10. What is the remainder when ((-59)/(-2))/(1/2) is divided by g?
9
Suppose 2*v - 8*v = -30. Let n be (v/(-3) - -1)*-27. Let a = 24 - n. Calculate the remainder when 9 is divided by a.
3
Let c = 30 + -30. Let v(y) be the first derivative of -y**4/4 + y**2/2 + 35*y + 2. Calculate the remainder when v(c) is divided by 9.
8
Let n(k) = 3*k**3 - 2*k. Let p be n(2). Suppose 0*g + 9 = 3*g + f, 4*g = -4*f + p. Let s = g + 28. Calculate the remainder when 119 is divided by s.
29
Suppose -2*o - w - 2*w - 21 = 0, 0 = -4*o - 2*w - 30. Calculate the remainder when (-58)/o + (-14)/21 is divided by 3.
0
What is the remainder when (-1)/(-3) + (-532)/(-6) is divided by (3 - 3) + 8 - (-45 - -38)?
14
Let a = 38 - 21. What is the remainder when 80 is divided by a?
12
What is the remainder when 87 is divided by (-3)/(231/(-2783)) + 2/(-14)?
15
Calculate the remainder when (32/40)/((-14)/(-945)) is divided by 33.
21
Let k(r) = r**2 - 2*r + 2. Let t be 0 - -3 - (-3 - -3). Let j be (t - 3 - 1)/(-1). Calculate the remainder when k(j) is divided by 1.
0
Let q be (58/5)/((21/30)/(-7)). Let t = -114 - q. Calculate the remainder when 1/(2 - 18/10) is divided by t.
1
Let v = 112 + -160. Let l = 77 + v. What is the remainder when 114 is divided by l?
27
Let n(z) = -27*z + 335. What is the remainder when n(-7) is divided by 33?
29
Suppose 0 = 5*j - 5, 5*h - h - 89 = 3*j. What is the remainder when 183 is divided by h?
22
Calculate the remainder when 495 + -3 - (-4 - -5) is divided by 62.
57
Let u(y) = y - 1. Let s(q) = -q. Let j(k) = 10*k - 3. Let p(b) = j(b) + 4*s(b). Let v(d) = p(d) - 2*u(d). Calculate the remainder when v(2) is divided by 4.
3
Let t(m) = 26*m. Let p be t(2). Let u = p + -33. Suppose 2*x + u = 3*o, 4*o + 0*o = x + 32. What is the remainder when o is divided by 3?
0
Calculate the remainder when 33 is divided by 3 + (-6 - -1 - -8).
3
Let m = 87 - 34. Calculate the remainder when m is divided by 16.
5
Let b(r) = -r**3 - 13*r**2 - 3*r - 8. Let s = 19 + -32. Let i be b(s). Suppose x + 8 = i. What is the remainder when x is divided by 8?
7
Suppose 4*z - 50 - 30 = 0. What is the remainder when 297 is divided by z?
17
Let r(d) = d + 2. Let n be r(6). Let t be (-84)/n*26/(-3). Suppose w - t = -w + 5*s, 0 = -2*w + 3*s + 85. What is the remainder when w is divided by 20?
18
Suppose 12 = o - k + 4, 4*k - 13 = -5*o. Suppose 26 = 2*h - 0*h. Suppose f + h = 2*f. What is the remainder when f is divided by o?
3
Let v = -34 + 34. Calculate the remainder when ((243 - -3)/3)/(2 - v) is divided by 14.
13
Calculate the remainder when 36 is divided by 12/3 + -9 + 8.
0
Let o be ((-12)/(-16))/3 + 266/(-8). Let i = 25 - o. Calculate the remainder when i is divided by 6.
4
Let q = 21 + -56. Let m = q + 59. Calculate the remainder when m is divided by 9.
6
Suppose -9*s + 427 = -2*s. What is the remainder when 112 is divided by s?
51
Let w = 27 - -7. What is the remainder when 134 is divided by w?
32
Let y be ((-6)/9)/(2/(-6)). Suppose y*c = -2*c + 340. Calculate the remainder when c is divided by 29.
27
Suppose 0 = 2*f - 13 - 1. Let p be (f/(-2))/((-13)/(-312)). Let l = -60 - p. Calculate the remainder when 93 is divided by l.
21
Calculate the remainder when (-1 - (-17 - -5)) + 16 is divided by ((-7)/2)/((-2)/4).
6
Let l be -1*(2/(-1) - -14). Let i = l - -31. Suppose -w = 5*d - i, -3*d + 46 = 4*w + 2*d. What is the remainder when w is divided by 3?
0
Let z(k) = 53*k**3 - 3*k**2 + 2. Calculate the remainder when z(2) is divided by 60.
54
What is the remainder when ((-27)/(-12))/(16/448) is divided by 24?
15
Suppose -h + 52 = h. Let r(o) = o**3 - 5*o**2 + 4*o - 4. Let