 -9)/1).
9
Suppose -156 - 897 = -3*k - 24*k. Calculate the remainder when 1402 is divided by k.
37
Suppose 146 - 104 = 6*z. What is the remainder when 61 is divided by (z/(140/(-8)))/(16/(-680))?
10
Let i(t) be the first derivative of -38 + 3/2*t**2 + 36*t. Calculate the remainder when 42 is divided by i(-9).
6
Suppose 0 = -x - 4*a - 20, -4*a = 12 + 8. Suppose 5*m - 15 - 40 = x. Calculate the remainder when 175 is divided by m.
10
Let i(k) = -11*k + 17. Let b(s) = -s. Let n(x) = 5*b(x) - i(x). What is the remainder when 82 is divided by n(9)?
8
Let a(i) = i**2 + 14*i - 59. Let z(x) be the second derivative of x**4/6 + x**3/6 + 2*x**2 - 4*x. What is the remainder when z(-3) is divided by a(4)?
6
Let k = 3 - 0. Suppose 13500 = 249*q + 126*q. Suppose -k*n = -7*n + 5*a + q, -3*n + 62 = 5*a. Calculate the remainder when 41 is divided by n.
13
Let u = -17 + -3. Let i = -7 - u. Suppose 0 = -54*j - 123*j - 50*j + 11577. What is the remainder when j is divided by i?
12
Let k(g) = 4*g**3 - 7*g**2 - 10*g - 5. What is the remainder when 253 is divided by k(4)?
55
Let z = 44 + -20. Let m be (3/4)/(12/368). Suppose -473 + m = -10*c. What is the remainder when c is divided by z?
21
Calculate the remainder when 1 - (1 + -3 - 3) is divided by (116 - 119) + (5 - (-1 + 1)).
0
Let l(g) = 23*g - 178. Let o be l(8). Suppose o*c - 14 = 4. Calculate the remainder when 120 is divided by c.
0
Let b(f) = f**3 - 32*f**2 - 18*f - 466. What is the remainder when 42 is divided by b(33)?
13
Let g be (-9)/(-45)*(6 + -1). Suppose -r + 810 = 4*r. What is the remainder when r is divided by (g/4)/((-2)/(-328))?
39
Let d = 37 + -70. Let q(v) = 14*v**2 + 6*v + 9. Let x be q(-4). What is the remainder when (x/d)/(2/(-6)) is divided by 7?
5
Suppose 4*r + 13*h - 11*h = 1220, 2*r - 602 = 3*h. Suppose -r = -20*o + 516. What is the remainder when 155 is divided by o?
32
Let b(h) = h**3 - 104*h**2 + 487*h + 814. Suppose 3*m - 373 = 4*u, 121 = -3*m + u + 509. What is the remainder when m is divided by b(99)?
21
Let j = -396 + 397. Suppose 5*r - 3*r + 46 = 4*p, -2*r = -3*p + 35. Calculate the remainder when j - (-1)/(-3) - (-640)/12 is divided by p.
10
Suppose 42 - 209 = g. Let p = g - -181. Suppose -8*y + 216 = -4*y. Calculate the remainder when y is divided by p.
12
Suppose 189 = n + s - 451, -n = -4*s - 620. What is the remainder when n is divided by 2?
0
Let t(c) = -c**2 - 24*c + 25. Let w be t(-25). Suppose w = u + 2*o - 171, -90 = u + o - 258. What is the remainder when u is divided by 17?
12
Suppose 25 = -j - 21. Let g = j + 47. Suppose m - 2*a = 3, -m + g = -2*m + 3*a. Calculate the remainder when 17 is divided by m.
6
Suppose 1349 + 499 = 22*x. Calculate the remainder when x is divided by ((-8)/(-10))/1*20.
4
Suppose f - 97 + 13 = -3*h, -158 = -2*f - 4*h. Let w = 73 + f. Calculate the remainder when w is divided by 36.
34
Suppose -20 = 5*s, 0 = -5*a - 7*s + 5*s + 57. Suppose 4*v - 598 = -5*r, 4*v - 2 = -14. Calculate the remainder when r is divided by a.
5
Let v = -39 + 90. Suppose -2*r - x = -86, 472*r - 469*r - 5*x = 233. What is the remainder when r is divided by v?
0
Suppose 4*d + 68 = 5*d - l, 5*d + 5*l = 310. What is the remainder when 191 is divided by d?
61
Let x(q) = -34*q**2 + 444*q + 13. What is the remainder when 730 is divided by x(13)?
28
Suppose -7 = h - 7 - 4. Calculate the remainder when 417 is divided by h.
1
Suppose -5*u = -10*u - 5*k + 40, -20 = -5*k. Calculate the remainder when (2 + (-4 - 0))/(u/(-750)) is divided by 94.
93
Let s be ((-102)/(-10))/(1 - 24/30). Let n = 53 - s. Suppose 4*v - n*v = -5*d + 31, -4*v + 4*d = -104. Calculate the remainder when 135 is divided by v.
20
Suppose -130*r + 695 = -1515. What is the remainder when 87 is divided by r?
2
Suppose 3*j - 6*j - 3 = 0, 3315 = 3*i + 3*j. What is the remainder when i is divided by 276?
2
Suppose 0 = 36*n - 328 - 1256. Suppose -2*c = -3*q + n, 1 = -40*c + 39*c. What is the remainder when q is divided by 2?
0
Suppose -1097 - 7026 + 239 = -54*h. What is the remainder when 257 is divided by h?
111
Suppose -10*b = -7*b - 804. Let a = b + -75. Calculate the remainder when a is divided by 13.
11
Let p = -479 + 284. Let g = -179 - p. Let o(m) = 2*m - 1. Calculate the remainder when g is divided by o(3).
1
Let r(v) = 342*v + 4890. What is the remainder when 147 is divided by r(-14)?
45
Let b(l) = -5*l**3 + 4*l**2 + 4*l + 7. Let o be b(-3). Let p = -158 + o. What is the remainder when (-2 - -1)/(1/(-77)) is divided by p?
5
Let g(o) = 2*o + 25. Let y be g(-8). Suppose -l = d - 10, y*l = -4*d + 8*l + 37. Calculate the remainder when 54 is divided by d.
0
Let b(y) = -2*y**3 - 2*y**2 + 5*y. Suppose 3*p - 281 = 4*d - 336, -37 = -3*d - 2*p. Calculate the remainder when b(-4) is divided by d.
11
Suppose 3*u = 7*u + y - 111, 2*u + 5*y - 69 = 0. Calculate the remainder when (44 - (-24)/8) + -5 is divided by u.
15
Let q(g) = g**3 + 3*g**2 + 13*g + 4. Let h be q(-5). Let t = h - -168. Let j(a) = -a**3 - 4*a**2 - 4*a - 1. What is the remainder when t is divided by j(-4)?
12
Let d(f) be the first derivative of -f**3/3 + f**2 + 5*f + 25. Let n be 4/(-6) - (-6)/9. What is the remainder when d(n) is divided by 5?
0
Suppose -13380 = -99*s + 69*s. Let d(w) = 14*w - 112. Calculate the remainder when s is divided by d(12).
54
Let a = -62 - -11. Let m = -47 - a. Suppose m*f + 15 - 327 = 0. What is the remainder when f is divided by 20?
18
Suppose -59*r + 1638 = -7*r - 26*r. Let s(j) = 4*j**2 + 10*j + 15. What is the remainder when s(-9) is divided by r?
60
Suppose -2*d + 1976 = 1970. Calculate the remainder when 7 is divided by d.
1
Suppose -44*b + 26499 = 77*b. What is the remainder when b is divided by 67?
18
Suppose 35 = 4*q - 3*o, 2*o = -3*q + 6*o + 35. Suppose -775 = -q*h + 3*y, 2*y + 7 = -3. Calculate the remainder when h is divided by 51.
50
Suppose 39*i + 2905 = 17530. Let h(k) = -k**3 - 5*k**2 - 4*k - 2. Calculate the remainder when i is divided by h(-5).
15
Let f(h) = -h**2 - 97*h - 179. What is the remainder when 1055 is divided by f(-2)?
10
Let x = 1170 - 1144. Let s be -537*(2 - (-14)/(-6)). Suppose 2*w - 2*l - 3*l - s = 0, 4*w + 4*l - 288 = 0. Calculate the remainder when w is divided by x.
25
Let j(d) be the first derivative of d**3 + 5*d**2/2 - 32*d + 22. Calculate the remainder when j(5) is divided by 35.
33
Suppose 2*h + 49*y - 46*y = 1314, -h - 2*y = -658. What is the remainder when h is divided by 160?
14
Let w = -7 + -5. Let c be -8*-3*(-1)/w. Let j(z) = 17*z**2 - 2*z + 1. What is the remainder when j(c) is divided by 17?
14
Let q = 39 + -41. Suppose -13 - 34 = -i. Calculate the remainder when i is divided by 14 - (0 - 3/(-3))*q.
15
Let w(v) = -45*v - 3. Let r be w(-11). Let c be 1/((-3)/r) + -4. Let g = c - -256. What is the remainder when g is divided by 18?
16
Let m(s) = -48*s - 1357. Calculate the remainder when 157 is divided by m(-30).
74
Let l(g) = 2*g**2 - 8*g - 16. Let t be l(6). Suppose t = 8*n - 6*n. Calculate the remainder when n + (3 - 2 - -34) is divided by 14.
11
Suppose 329 = 3*b - 9702*w + 9706*w, -109 = -b - w. What is the remainder when b is divided by -2*3*50/(-6)?
7
Let z be 0/(-11 - (7 + -13)). Suppose -j + 184 = 2*j + 4*m, z = -4*j + 3*m + 287. What is the remainder when 338 is divided by j?
66
Suppose 0 = -4*b - 2*p + 24964, -p - 18734 = -3*b + 3*p. Calculate the remainder when b is divided by 3.
2
Suppose 10*l - 135 = 6*l + 105. What is the remainder when 16979 is divided by l?
59
Suppose 77*x - 269 - 221 = -21*x. What is the remainder when 7064 is divided by x?
4
Suppose 43*d - 50*d + 14 = 0. Suppose -d*b - 12 = -28. What is the remainder when -1 - 37*-1 - 0 is divided by b?
4
Suppose -13 = -3*t + 11. Let m be (t/1)/((-8)/148). Let w = -126 - m. Calculate the remainder when 87 is divided by w.
21
Let i(b) = 623*b + 678. What is the remainder when 384 is divided by i(-1)?
54
Suppose -30 = -4*b - 2*i, -3*b - 4*i = -5 - 15. Suppose 0 = -56*a + 60*a - 2*c, -a + 3*c - 10 = 0. What is the remainder when b is divided by a?
0
Suppose 0 = -11*v + 9*v + 82. Suppose 79 + 53 = 6*w. Let s = v - w. Calculate the remainder when s is divided by 11.
8
Suppose -3*c - 24 = -135. Suppose 0*y - 4*y = -2*t + 18, 0 = -5*t - y + 67. Calculate the remainder when c is divided by t.
11
Suppose 4*l - 80 = 2