 15*x, 3*x = -3*i + 273. Let p = 81 + -24. Suppose 3*v = -2*f + p, -4*f - 2*v = v - 105. What is the remainder when i is divided by f?
23
Let f(d) = -d + d**3 - 15 - 2*d**3 - 6*d**2 + 14 + 4*d**2. Let h be f(-3). Let u = h - -3. Calculate the remainder when u is divided by 3.
2
What is the remainder when ((-354)/8)/((-102)/1904) is divided by 13?
7
Let v = 451 - 307. Calculate the remainder when v is divided by 3.
0
Let i = 214 - 175. What is the remainder when 154 is divided by i?
37
Let l = -77 + 155. Let f = l + -47. Suppose -28 = -2*v - p, -4*p = 3*v - 6*p - 56. What is the remainder when f is divided by v?
15
Let f = -88 + 145. Let u = f + 8. Let y = 25 - 8. What is the remainder when u is divided by y?
14
Let a = -327 + 343. What is the remainder when 23 is divided by a?
7
Let a(c) = -7*c + 24. Calculate the remainder when a(-16) is divided by 23.
21
Suppose -5*v = 2*u - 97, 15*u - 9*u + 5*v - 321 = 0. Let b(d) = d**2 + 8*d + 2. Let t be b(-6). Let q = t - -39. Calculate the remainder when u is divided by q.
27
Let k be (20/12 - 3)*-3. Suppose -2*t + k*a + 28 = -0*t, 3*a - 57 = -5*t. Calculate the remainder when 20 is divided by t.
8
Let s = -89 + 142. Calculate the remainder when s is divided by 8.
5
Suppose -13*r - 6 = -10*r, -5*r = 3*o - 23. What is the remainder when 54 is divided by o?
10
Let w be (-4)/(2/13*-1). Let a = w - 14. Calculate the remainder when 21 is divided by a.
9
Let a(j) = 23*j + 44. Let b be a(-9). Let h = b - -250. What is the remainder when h is divided by 8?
7
Suppose y - 4*j - 80 = -21, j = 2*y - 132. Suppose 7*u - 17 = 6*u. What is the remainder when y is divided by u?
16
Let w = 132 + -180. Let u = -28 - w. What is the remainder when 74 is divided by u?
14
Suppose -4*b - 35 = -31. Let r(f) = -5*f + 2. What is the remainder when 130/(-4)*2/b is divided by r(-4)?
21
Suppose 2*x = 26 + 32. Let w = 20 + -24. What is the remainder when (12/(-15))/(w/430) is divided by x?
28
Let j(l) = l**3 + 8*l**2 + 5*l + 70. Calculate the remainder when j(-8) is divided by 8.
6
Let y = 337 + -288. Calculate the remainder when y is divided by 25.
24
Suppose 0 = 3*y - 0*y. Let z(s) = -s**3 - s + 39. What is the remainder when z(y) is divided by ((-8)/10)/(((-60)/(-125))/(-6))?
9
Let z(x) = 3*x**3 + x**2 + 3*x - 3. Suppose -2 = -5*s + 8. What is the remainder when 59 is divided by z(s)?
28
Suppose -4*o + 98 = 14. Suppose -z + 5*z = 492. Suppose -3*a + z = -0*a. Calculate the remainder when a is divided by o.
20
Suppose 0*x - 3*x - 21 = 0. Let p = 22 + x. What is the remainder when (-12)/(-6 + 10) - (1 - 33) is divided by p?
14
Suppose 7*t - 6*t = -2. Calculate the remainder when 32 is divided by (-4*(-12)/(-2))/t.
8
Suppose 2*j - 78 = -2*q + 26, 5*j - 257 = -2*q. Calculate the remainder when j is divided by 21.
9
Let k be 8/(-3)*(-24)/(-16). Let j be k/20 - (-26)/5. Suppose 3*v = j*z + 5*v - 241, 5*z - 255 = 5*v. Calculate the remainder when z is divided by 10.
9
Let m = 221 - 209. Calculate the remainder when 22 is divided by m.
10
Let y be (-15*2/8)/((-8)/32). Let a(u) = u**3 + 8*u**2 - 10*u + 3. Calculate the remainder when (y - -7) + 1 + -4 is divided by a(-9).
7
Let s = 15 - 4. Let v(m) = 7*m**3 - 3*m + 2. What is the remainder when s is divided by v(1)?
5
Suppose -379 = -3*y + 2*q, q - 149 = -3*y + 224. Calculate the remainder when y is divided by 21.
20
Let d = 86 + -42. Suppose j = d + 15. Calculate the remainder when j is divided by 21.
17
What is the remainder when 266 is divided by 81 + -13 - (-1 + 1)?
62
What is the remainder when 117 is divided by (-59 - -50)*(1 + 8/(-3))?
12
Let f(o) = 2*o + 36. Let g be f(-12). Suppose -66 = -2*s - g. Suppose 0 = -4*q + m + 29 - 2, -3*m = -4*q + 33. What is the remainder when s is divided by q?
3
Suppose -279 = -5*r + 4*r + 3*b, -1126 = -4*r + 2*b. Calculate the remainder when r is divided by 95.
92
Let z(s) = -s**2 - 39*s - 80. What is the remainder when 108 is divided by z(-36)?
24
Let o = 180 + -128. Calculate the remainder when 467 is divided by o.
51
Let y = -67 - -77. Let k(v) = v. Suppose 3*x = 2*x + 27. Calculate the remainder when x is divided by k(y).
7
Suppose 357 = 3*f + s, 5*f + 4*s - 907 + 319 = 0. Suppose -8*b + 3*b = f. Let l = 28 + b. What is the remainder when 13 is divided by l?
1
Let u(m) = -m**2 + 8*m + 9. Let i be u(7). Let l = -6 + i. What is the remainder when 39 is divided by l?
9
Suppose -4*n + 6 = 2*w, -18 + 3 = -4*w - 5*n. Suppose 60 = 5*q + 4*m, 0 = -w*q + 3*m + 36 - 11. What is the remainder when 141 is divided by q?
5
Suppose 0*g = 3*t + 3*g - 921, -1490 = -5*t + 4*g. Calculate the remainder when t is divided by 76.
74
Let u(w) be the first derivative of -7*w**2/2 - 8*w + 1. Suppose 5*j - 4*k = -k - 18, 22 = -5*j + 2*k. What is the remainder when u(j) is divided by 9?
7
Suppose 2*r - 4*d = -0*r + 22, -3*r + d = -8. What is the remainder when (-9)/18*(-206)/r is divided by 15?
13
Suppose -5*q + 2435 = -3*a - a, 0 = -q - 5*a + 516. Suppose 6*x = q + 301. Calculate the remainder when x is divided by 27.
24
Suppose -4*j = 4*d - 908, -4*j = 5*d - 4*d - 215. Calculate the remainder when d is divided by 4.
3
Let c(f) = 2*f**3 + f**2 + 2*f - 8. Let o be c(3). Let v = o + 17. What is the remainder when v is divided by 10?
8
Let h(g) be the first derivative of -g**2/2 + 15*g + 9. Calculate the remainder when h(0) is divided by 4.
3
Suppose 8 = 3*h - 13. Suppose 4*m = 5*p + 111, -108 = -5*m - h*p + 3*p. Calculate the remainder when m is divided by 14.
10
Let i = -348 + 511. What is the remainder when i is divided by 15?
13
Let t = 217 + -233. Suppose 0 = 4*a - 20, -4*r + 4*a - 163 = 17. Let o = t - r. What is the remainder when 93 is divided by o?
21
Let n = -89 - -92. Suppose 4*r - n*c = 127, -5*r = c + 2*c - 125. What is the remainder when r is divided by 6?
4
Let o(d) = 3*d + 22. Calculate the remainder when o(-2) is divided by 12.
4
Let p be 6 - 3/((-6)/(-8)). Let d(z) = 2 - z + 12*z**2 + 0*z**2 - 8*z**p. What is the remainder when 29 is divided by d(2)?
13
Let u(d) = -2*d**2 - d + 82. Let c be u(0). Let m = 147 - c. Calculate the remainder when m is divided by 26.
13
Suppose 5*s + 1 - 26 = 0. Let y(f) = f**3 + 2*f - 1 + 0 + s*f**2 - 2 - 2*f**3. Calculate the remainder when y(5) is divided by 3.
1
Suppose 0 = -147*o + 133*o + 560. Calculate the remainder when 77 is divided by o.
37
Suppose -876 = -5*o + 584. Calculate the remainder when o is divided by 42.
40
Suppose 315 = 2*t + 3*f, -4*t - 2*f - 3*f = -633. Calculate the remainder when t is divided by 17.
9
Suppose -4*o - 5*c - 170 = 0, -53 = o - 3*c - c. Let k = o + 59. Calculate the remainder when 39 is divided by k.
11
Let k(c) = c**2 - 2*c - 17. Let u be k(8). Let t = 49 + u. Suppose 4*z - t = -z. Calculate the remainder when z is divided by 9.
7
Let o be (-46)/(-10) + (-26)/(-65). Suppose -5*q - a + 202 = 0, -q - o*a - 6 = -32. What is the remainder when q is divided by 15?
11
Let y = 666 - 615. What is the remainder when y is divided by 22?
7
Let g(q) = -q**3 + 13*q**2 + 14*q + 3. Let y be g(14). Suppose y*m + 0*m - 4*h - 349 = 0, 0 = -3*m - 3*h + 321. Calculate the remainder when m is divided by 28.
27
Let c(m) = -m**3 - 8*m**2 - 1. Suppose 189 = -98*h + 107*h. What is the remainder when c(-9) is divided by h?
17
Suppose -93*v + 432 = 2*q - 96*v, 4*v = -5*q + 1126. What is the remainder when q is divided by 107?
8
Let p be 8/3 + 4/(-6). Suppose p*g - 60 = -2*o, -2*o + o = -1. What is the remainder when 86 is divided by g?
28
Let u = 496 + -426. What is the remainder when u is divided by 18?
16
Suppose -5 = 3*n - 4*n. Suppose -2*v - 2*b = 3*b - 103, -n*b - 89 = -v. Suppose -5 = -x + 17. What is the remainder when v is divided by x?
20
Let j(z) be the third derivative of z**4/6 - 5*z**3/3 + 7*z**2. What is the remainder when j(9) is divided by 17?
9
Let m = -478 - -521. Let n(v) = -4*v - 5. Calculate the remainder when m is divided by n(-4).
10
Let y = 13 - 8. Suppose 0 = k - y*k - 24. Let l = k - -13. What is the remainder when l is divided by 5?
2
Suppose 404 = c - 5*s, -5*s = 3*c - 6*s - 1254. What is the remainder when c is divided by 42?
41
Let s = -511 - -792. Calculate the remainder when s is divided by 35.
1
Let n = 57 + -22. Suppose 44 = d + 26. What is the remainder when n is divided by d?