4*m - 2*m = -72, u*m = 3*i - 61. Calculate the remainder when i is divided by 5.
2
Let r = -15 + 23. What is the remainder when 67 is divided by ((-68)/r)/((-2)/4)?
16
Let m = -63 + 33. What is the remainder when 18 is divided by -1 - (24/m)/((-6)/(-45))?
3
Suppose 0 = b + 6*b - 980. Let l = 200 - b. Suppose l = -0*x + 3*x. Calculate the remainder when 78 is divided by x.
18
Let v(f) = f**2 - 21*f + 5. Let s be v(6). Let y = -65 - s. What is the remainder when 56 is divided by y?
16
Suppose -2*f - 5*m = -1, 3*m + 2*m + 39 = 3*f. Let y = f - -6. What is the remainder when (55 + 0)*(0 - -1) is divided by y?
13
Suppose -l = 5*g - 12, 2*l - 12 - 12 = g. Calculate the remainder when 598 is divided by l.
10
Suppose -2*k - 2*k + 128 = 0. Suppose 24*j - 26*j = -3*s + 363, j + 598 = 5*s. What is the remainder when s is divided by k?
23
Suppose -q - 4*v + 222 = q, -4*q + 4*v + 444 = 0. Suppose 0 = 2*b - 3*w - q, b = 5*b - 3*w - 225. Calculate the remainder when b is divided by 15.
12
Let s = -41 + 147. Let n = 176 - s. Calculate the remainder when n is divided by ((-4)/6)/((-2)/54).
16
Let k(w) = 7*w**2 + 5*w - 4. Let s be k(1). Let q(t) = -t**3 + 8*t**2 + 2*t + 4. What is the remainder when 99 is divided by q(s)?
19
Let k(n) = 11*n + 6. Suppose 487*q - 484*q - 57 = 0. Calculate the remainder when k(6) is divided by q.
15
Let v(n) = -3*n + 4. Let d be v(9). Calculate the remainder when 70 is divided by (8/6)/((d/(-18))/23).
22
Let x = 283 - 150. Suppose 6*b - x = 11. Calculate the remainder when 46 is divided by b.
22
Suppose -7*c = -0*c - 56. Let l(t) = -8 - 4 - 7*t + 1 - 4 + t**2. Calculate the remainder when l(11) is divided by c.
5
Let n = -8 + 12. Suppose n*q = 2*q. Calculate the remainder when 43 is divided by 11*((4 - 3) + q).
10
Suppose -2*n + 678 = 2*j, 3*j + 2*n + 2*n - 1020 = 0. Suppose 5*f + 91 = j. What is the remainder when f is divided by 19?
11
Let u be (-2)/(0 + 2/(-26)). Let a be (2/6)/(14/(-84)). What is the remainder when 1/(a/(-4)) + u is divided by 10?
8
Let y(w) = -w + 21. Suppose 3*h - 12 = 0, 0*f - 20 = -2*f - h. Calculate the remainder when 148/3 + (-4)/(-6) is divided by y(f).
11
Let o(i) = -i**2 - 4*i + 8. Let x be -11 - -8 - (0 + 6). Let d be o(x). Let t = -3 - d. Calculate the remainder when t is divided by 12.
10
Let q(z) = z**3 + 5*z**2 - 6*z + 3. Suppose -7*a + 12*a - 40 = 0. Calculate the remainder when a is divided by q(-6).
2
Let l = -1 - -4. Suppose 3 + l = 3*a. Suppose 4*m + 4 = 0, -22 - 38 = -n + a*m. Calculate the remainder when n is divided by 20.
18
Let f(c) = -c**3 + 3*c**2 + c + 2. Let o be f(3). Suppose -a = 3*u + 21, -5*u = -o*a - 8 - 17. What is the remainder when 45 - a - (0 + -1) is divided by 19?
17
Let m(t) = -62*t - 102. Let x(p) = p**2 - 2*p - 6. What is the remainder when m(-3) is divided by x(-5)?
26
What is the remainder when 98 is divided by (-6)/(16/(816/(-9)))?
30
Suppose -9*s = -454 - 941. Calculate the remainder when s is divided by 26.
25
Suppose -c - c + 12 = -g, 2*g = -3*c + 25. Let n = c - -129. What is the remainder when n is divided by 46?
44
Let q(a) = -a**3 - a + 1. Calculate the remainder when q(-2) is divided by ((-2)/(-4))/((-1)/(-12)).
5
Let x = 15 + -12. Suppose -x*c - 3 = -9. Calculate the remainder when (-12)/(-3)*(-2)/(-4) is divided by c.
0
Suppose 4*t + t = t. Suppose b + h = 4*h + 21, -4*b - 4*h + 20 = t. What is the remainder when b is divided by 5?
4
Suppose -9*x + 110 = -70. What is the remainder when 98 is divided by x?
18
Suppose -5*s + 0*s - 7 = -3*v, s - 5 = -v. What is the remainder when 181 is divided by s + 1 - (-7 + -37)?
43
Let o(d) be the third derivative of -d**6/120 + 7*d**5/30 - 11*d**4/24 + 8*d**3/3 + 15*d**2. Calculate the remainder when o(13) is divided by 15.
12
Let h(s) = 18*s - 85. What is the remainder when 86 is divided by h(6)?
17
Suppose -6*q + 11*q - 605 = 0. Suppose 5*p - q = -6*p. What is the remainder when ((-6)/(-4))/(9/120) is divided by p?
9
Let w = -108 + 133. What is the remainder when w is divided by 9?
7
Suppose 3*d = 3*a - 537 + 132, -3*a - 2*d + 395 = 0. What is the remainder when a is divided by 27?
25
Suppose 0 = -4*t + 4, -5*d - 108 = -9*d + 4*t. Calculate the remainder when 77 is divided by d.
21
Let u(t) = t + 42. What is the remainder when 283 is divided by u(-18)?
19
Let s(i) = -i**3 + 3*i - 3. Let r be s(2). Let n(j) = j - 13. Let c(g) = -g + 6. Let p(t) = 5*c(t) + 2*n(t). What is the remainder when 37 is divided by p(r)?
18
Suppose 5*b - 264 - 126 = 0. Let d = -4 - 49. Let n = 80 + d. Calculate the remainder when b is divided by n.
24
Suppose 2*j - 7*j - 116 = -3*o, -3*j = 5*o - 148. What is the remainder when 381 is divided by o?
29
Let u(i) = i**3 + 16*i**2 - 15*i + 56. What is the remainder when 547 is divided by u(-17)?
19
Suppose -4*b + 193 = -5*w, 5*b + 15*w = 13*w + 200. Calculate the remainder when 154 is divided by b.
28
Let o(d) be the third derivative of d**5/60 - 3*d**4/8 + 7*d**3/3 + 2*d**2. Calculate the remainder when (27/(-12))/((-1)/4) is divided by o(8).
3
Suppose 0 = -3*b - 15, 3*b = 3*c + 2*b - 392. What is the remainder when c is divided by 11?
8
Let v(o) = 3*o**2 + 9*o - 35. Calculate the remainder when v(-8) is divided by 35.
15
Let a = -203 - -377. Calculate the remainder when a is divided by 37.
26
Let f = -7355 + 7400. Suppose -890 = -3*i - 2*i. What is the remainder when i is divided by f?
43
Let r(b) = -11*b**3 - 5*b + 1. Let i be r(2). Let n = 119 + i. What is the remainder when n is divided by 14?
8
What is the remainder when 54 is divided by 12 + ((-22)/(-33))/(1/(-3))?
4
Let a = -129 + 90. Calculate the remainder when (-9)/(-5)*(-715)/a is divided by 12.
9
Let y = 37 - 31. Calculate the remainder when 52 is divided by y.
4
Suppose r + 4*r = 105. Calculate the remainder when 3/(160/52 - 1 - 2) is divided by r.
18
Suppose 3*f - 5*d - 119 = -7*d, d + 91 = 2*f. What is the remainder when f is divided by 22?
21
Let y(b) = -2*b - 15. Let p be (2/6)/((-1)/33). Calculate the remainder when y(p) is divided by 5.
2
Suppose -3 - 16 = -4*l - d, 5*d = 2*l - 37. Calculate the remainder when -454*(-1)/30 - 152/1140 is divided by l.
3
Let p(i) = i**2 - i + 11. Calculate the remainder when (-27860)/(-2310) + 2/(-33) is divided by p(0).
1
Let x(a) = -5*a + 27. Suppose 4*k + 24 = 2*k. Let i = 31 + k. Calculate the remainder when x(-9) is divided by i.
15
Suppose -3*w - 2*q + 4*q = -6, w = 3*q - 5. Let k = -193 - -244. What is the remainder when k is divided by 52*((-2)/w - -1)?
25
Let i = 8546 + -8462. Suppose -h - p + 19 = -13, -4*p = -3*h + 75. What is the remainder when i is divided by h?
26
Let m = -50 - -94. Suppose d - 2*l = -5*l + 38, -2*l = -2*d + m. Let q = -9 + d. Calculate the remainder when 65 is divided by q.
14
Let c be 2/(-5) + -1 - 4/(-10). Suppose -11 + 1 = -d. Calculate the remainder when 12*(20/8 + c) is divided by d.
8
Let m = 80 + 562. Calculate the remainder when m is divided by 17.
13
Let m = 50 + -23. What is the remainder when 349 is divided by m?
25
Let i(s) = s**2 + s + 5. Let g be 60*3 + (-3)/3 + 4. Let w = g - 174. Calculate the remainder when i(-6) is divided by w.
8
Let h(k) = -7*k**3 - k**2 + k - 2. Let g(m) = -2*m**2 - 71*m - 8. Calculate the remainder when g(-34) is divided by h(-2).
46
Let t = 166 - -87. What is the remainder when t is divided by 29?
21
Suppose -8*c + 1611 = -5*c - d, 4*c + d = 2155. Calculate the remainder when c is divided by 36.
34
Let i = 394 - 385. What is the remainder when 19 is divided by i?
1
Let k(c) = c**2 + 2*c. Suppose 5*w = 4*l - 25, l + 27 - 7 = -4*w. Let g be k(l). Suppose g = 5*m - 4 - 156. Calculate the remainder when m is divided by 11.
10
Calculate the remainder when 71/1 - (13 - (13 - 8)) is divided by 25.
13
Let q(u) = 152*u + 1. Let i(o) = -11*o - 385. What is the remainder when q(1) is divided by i(-37)?
21
Let t(n) = 79*n**2 - n - 1. Suppose -191 = -1662*d + 1657*d + 3*q, -4*d + 2*q + 154 = 0. Calculate the remainder when t(-1) is divided by d.
39
Let b = -432 + 461. Calculate the remainder when 113 is divided by b.
26
Suppose 4*f - 5 = 3. Suppose f*l + 0*g = g + 36, 2*g - 80 = -4*l. Suppose 0 = 25*w - 170*w + 580. Calculate the remainder when l is divided by w.
3
Suppose 42*w = 46*w - 2436. Calculate the remainder when w is divided b