late the remainder when (140/25)/((-1)/(-30)) is divided by 43.
39
Let z = 435 + -185. Calculate the remainder when z is divided by 14.
12
Let i = 279 - 44. Let q = i + -117. Calculate the remainder when q is divided by 30.
28
Suppose 4*a = -4*v + 80, 5*v = 2*a + 46 + 40. Calculate the remainder when 37 is divided by (v + 2)/((-12)/(-12)).
17
Suppose -5*t + 405 = -5*j, 3*t + 4*j + j = 259. Calculate the remainder when t is divided by 14.
13
Let s = 600 - 484. Calculate the remainder when s is divided by 30.
26
Let o(l) = 14*l**3 - l + 2. What is the remainder when o(2) is divided by 30?
22
Let d(g) = 116*g**2 + 3*g - 2. What is the remainder when d(1) is divided by ((-1)/3)/((-3)/135)?
12
Let z be 3/((1 - 0) + 0). Suppose -4*k + 7*k - 3 = -3*i, -3 = i + z*k. Calculate the remainder when 234/i + (-4 - -2) is divided by 26.
24
Suppose 3*r - 38 - 7 = 0. Suppose j + 0*p = p + 2, p = -3. Calculate the remainder when j + (2 - 19*-3) is divided by r.
13
Suppose -6*f = -5*f - 56. Suppose -20*d + 16*d + f = 0. Calculate the remainder when 82 is divided by d.
12
Suppose -2*z = -28*z + 1664. What is the remainder when 122 is divided by z?
58
Suppose -27*u + 1700 = -10*u. Calculate the remainder when u is divided by 52.
48
Calculate the remainder when 521 is divided by 1855/25 - 24/(-30).
71
Let l be ((-8)/6)/((-2)/3). Suppose l*k + 5*z - 8 = 0, 11 - 5 = 3*z. Calculate the remainder when 5*(k - (-312)/20) is divided by 38.
35
Let j = -232 - -270. Calculate the remainder when 65 is divided by j.
27
Let o(m) = m**2 - 6*m - 18. Let n be o(13). Suppose -6*t + 71 = -n. Calculate the remainder when t is divided by 13.
11
Let r = 75 - 42. Let q(k) = 2*k**2 + 14*k - 11. Let v be q(5). Let l = v - 100. Calculate the remainder when r is divided by l.
6
Let n(i) = 15*i**2 - 6*i - 11. Let d be n(-2). Let u = d + -48. What is the remainder when 49 is divided by u?
10
Let v(h) = -h**2 - 1. Let b(g) = -2*g**2 + 5*g + 4. Let a(f) = b(f) - 3*v(f). What is the remainder when 61 is divided by a(-7)?
19
Suppose -34 = -2*n - 4*z, 3*z = -4*n - z + 80. Calculate the remainder when n is divided by 15.
8
Let m be (-2 - (-8)/4)/(2 - 3). Suppose -4*c + m*c = -92. Calculate the remainder when c is divided by 5.
3
Suppose -52*a + 64*a - 180 = 0. What is the remainder when 82 is divided by a?
7
Suppose v + 1 = 0, 16*v - 102 = -4*r + 14*v. What is the remainder when 46 is divided by r?
20
Let m(l) = -l**2 + 4*l + 1. Let g be m(5). Calculate the remainder when g/28 + (-1011)/(-21) is divided by 17.
14
Suppose 6*v = 8*v - 5*t - 51, -2*t = 5*v - 113. What is the remainder when 120 is divided by v?
5
Let x be 20/8*12/10. Suppose x*a + 26 = 4*a. Calculate the remainder when 85/2*24/20 is divided by a.
25
Let g = 439 + -417. Suppose n = 4*n + 2*q, 0 = 2*n + q. Suppose 0 = -4*j + k + 6 + 28, n = j + 2*k - 4. What is the remainder when g is divided by j?
6
Let c = 57 + -44. What is the remainder when ((-555)/(-2))/5*10/15 is divided by c?
11
Suppose 0 = 19*n + 4*n - 1679. Calculate the remainder when 800 is divided by n.
70
Suppose -3*k - 5*l = -151, -49*k - 101 = -51*k - 3*l. Calculate the remainder when k is divided by -19*(-4 - -2 - -1).
14
Suppose -5*t + 14 = 5*i - 1, -2*i - 10 = 0. Let b = t - -9. Calculate the remainder when 33 is divided by b.
16
Let k be (6/8)/(-6 + 3)*-4. What is the remainder when 68/k - (-5)/1 is divided by 25?
23
Let y(u) = 4*u**2 + 2*u - 3. Let d be y(5). What is the remainder when -2 + (d - (3 - 1)) is divided by 35?
33
Let o be 6/4*(-2480)/(-93). Calculate the remainder when 104 is divided by ((-10)/o)/((-1)/92).
12
Let n be -9 + 1 - -4*12/16. Calculate the remainder when (2/(-8))/(n/200) is divided by 2.
0
Let t = 89 + -2. What is the remainder when 1042 is divided by t?
85
Let i(y) = 12*y**2 + 20*y - 56. Calculate the remainder when i(-11) is divided by 38.
36
Let k(b) = -b**3 - 16*b**2 - 63*b - 18. Suppose 4*i + 6 = 22. Let q = i + 14. Calculate the remainder when k(-11) is divided by q.
16
Let t = -9 - -11. Suppose -4*g + 102 = -t. Suppose -c = -g + 1. What is the remainder when 48 is divided by c?
23
Let l(n) = -33*n - 7. Calculate the remainder when l(-4) is divided by (4/(-6))/(2/(-96)).
29
Suppose 8 = 5*l + 3. Let d(u) be the first derivative of -u**4/4 - 4*u**3/3 + u - 13. What is the remainder when d(-4) is divided by l?
0
Let k be 8 + -8 - 2*-1. Suppose 5*b + 3*w = k, w + 3 - 4 = -2*b. What is the remainder when 1 is divided by b?
0
Let y(z) = -68*z - 1749. Calculate the remainder when 72 - (-1 - (0 + 0)) is divided by y(-26).
16
Let k(z) = 2 + 2*z - 3 + 8 + 10. What is the remainder when 113 is divided by k(6)?
26
Let n(t) be the second derivative of t**4/12 - t**3/2 + t**2 - 29*t. Let o(v) = v - 1. Let d be o(6). What is the remainder when 22 is divided by n(d)?
10
Suppose -1866*n + 268 = -1862*n. What is the remainder when 1137 is divided by n?
65
Suppose -o + 104 = 2*v, v + 4*v = 3*o - 279. Suppose -p - p = -o. Suppose 3*z - p = 3*q - 7*q, 4*z = 3*q + 57. Calculate the remainder when 58 is divided by z.
13
Let a = -15 - -27. Suppose -2*o + 1 = w - a, 4*w = -5*o + 40. Let d(n) = n + 2. What is the remainder when 16 is divided by d(o)?
4
Suppose -3*x = -1 - 83. Let s(v) = -41*v - 1. Let o(n) = n**2 - 6*n - 9. Let b be o(7). Calculate the remainder when s(b) is divided by x.
25
Suppose 61*n + 101 = 64*n + 5*z, -z + 161 = 5*n. Calculate the remainder when 86 is divided by n.
22
Let w(x) = 2*x**2 + 8*x + 3. Let l be w(-6). Let a be 21/(-14) + l/2. Suppose -2*r - 4*o + o = -14, a = 4*r + 2*o. What is the remainder when r is divided by 1?
0
Let c = -870 - -883. Calculate the remainder when 44 is divided by c.
5
Suppose q - 2*q = 5*f - 270, 3*q - 227 = -4*f. What is the remainder when 73 is divided by f?
20
Let n(l) = l**3 + 20*l**2 + 2*l + 59. Suppose -y + 36 = 2*y. Suppose -j - y = -47. Calculate the remainder when j is divided by n(-20).
16
Suppose -98 = -2*h + 3*v, 9 = -5*v - 11. Calculate the remainder when h is divided by 18.
7
Suppose 4*b - w - 12 = -3*w, -b = 3*w + 7. What is the remainder when 9 is divided by b?
4
Suppose 2*m - 5*h = 31, 0 = -6*m + 10*m - h - 53. Suppose 5*z + 0*z + 30 = 0. Let v = 32 - z. Calculate the remainder when v is divided by m.
12
Let h(u) = -u**2 - u + 2. Let z be h(-2). Let o(j) = -j**3 + j**2 - j + 19. Let d(a) = -3*a + 7. Calculate the remainder when o(z) is divided by d(-1).
9
Suppose 0 = -2*y + 3*y - 13. What is the remainder when (5/(-4) + 3)/(3/60) is divided by y?
9
Let l = -10 - -13. Suppose -5*o + 204 = -l*o. What is the remainder when o is divided by 35?
32
Let o(q) = q + 11. Let j(h) = h**2 + 4*h - 8. Let p be j(-5). Calculate the remainder when 44 is divided by o(p).
4
Suppose 517 = 24*q - 35. Calculate the remainder when 176 is divided by q.
15
Suppose -b + 4*b = 0. Suppose o + 2*f = 2*o - 24, b = -3*f - 6. Suppose q - 74 = -q. What is the remainder when q is divided by o?
17
Suppose x = -6 - 9. Let n = x + 95. Suppose -5*c - 2*z + 197 + n = 0, 4*c - 5*z - 215 = 0. What is the remainder when c is divided by 19?
17
Let q(w) = 3*w**2 + 9*w - 9. Let d be q(-9). Let m = d + -139. Calculate the remainder when 39 is divided by m.
11
Let x(q) = -q + 33. Suppose -f + 101 - 11 = 0. Calculate the remainder when f is divided by x(9).
18
Suppose -4*a = -3 + 31. Let y(k) = -k**2 + 46. Calculate the remainder when y(0) is divided by 2 + (4 - a) - -3.
14
Let y = -5588 + 5597. Suppose 4*i - 41 = -9*s + 4*s, 5*i = -3*s + 35. Suppose i - 13 = -3*o. Calculate the remainder when y is divided by o.
0
Let x = -587 + 1516. Suppose 51 = 4*o + 4*f - x, 5*o = -2*f + 1225. Suppose 0 = 5*k - 40 - o. What is the remainder when k is divided by 15?
12
Let a(m) = -m**2 + 43*m - 74. Calculate the remainder when 133 is divided by a(40).
41
Let t be 920/25 - (-8)/(-10). Suppose 0*g - 6*g = -t. What is the remainder when 21 is divided by g?
3
Let l(s) = s**3 - s + 3. Let h(j) = j**3 - 18*j**2 - 19*j + 14. Calculate the remainder when l(3) is divided by h(19).
13
Suppose -4*u + 636 = 2*a, -2*u + 4*a - 152 = -3*u. What is the remainder when 32 is divided by u/14 + (18/(-7))/6?
10
Suppose 0 = -5*r + 143 + 42. Calculate the remainder when 107 is divided by r.
33
Suppose -166 - 412 = -34*s. What is the remainder when 169 is divided by s?
16
