- 55 = -5*h. Let m = 124 + -96. Calculate the remainder when m is divided by h.
4
What is the remainder when 2163 is divided by 8 + ((-18)/(-15)*-5 - -153)?
148
Suppose -3*q + 11 = 3*b - 2*q, -4*q + 20 = 0. Suppose -i - 5*j = -6*j - 32, 0 = -j - b. What is the remainder when 67 is divided by i?
7
What is the remainder when ((-5)/(-7)*(-1736)/(-496))/((-2)/(-488)) is divided by 3?
1
Suppose -15*q + 2100 = 27*q. What is the remainder when 82 is divided by q*(287/245 + (-16)/28)?
22
Let y(k) = 22 - 6 + 15 + 0*k - 58*k. What is the remainder when y(-4) is divided by 22?
21
Calculate the remainder when (-474)/(-10) - 4/10 is divided by 23 + 31 - (-11 - -52).
8
Suppose 4*c - 1448 = p, -526*c - p = -521*c - 1810. What is the remainder when c is divided by 53?
44
Let j(p) = -p**3 + 8*p**2 + 6*p + 64. What is the remainder when j(-6) is divided by 40?
12
Let s = -439 - -478. Calculate the remainder when 106 is divided by s/(-13)*(2 + (-14 - 1)).
28
Suppose -4*w + 55 - 47 = 0, -7*f + 256 = -5*w. What is the remainder when f is divided by (-4 - -16) + 2*-1?
8
Suppose 46 - 183 = -15*n + 328. What is the remainder when 173 is divided by n?
18
Let z be 78/(452/88 + -3 + -2). Suppose 0 = 7*t + 4*t - z. Calculate the remainder when t is divided by 27.
25
Let i be (-4)/14 + (-4)/(-14). Let q = 10 - i. What is the remainder when (-136770)/16005*(-22)/4 is divided by q?
7
Let r(n) = n**2 - 41*n + 9. Let h be r(9). Let q be -2 - (3 - h) - 0/5. What is the remainder when (-5 + 6)*-2 + q/(-2) is divided by 47?
46
Suppose 347 = c + q, 2*q - 1164 + 118 = -3*c. Calculate the remainder when c is divided by 21.
16
Calculate the remainder when (-17 + (-784)/(-48))/((32/(-2364))/4) is divided by 150.
47
Let h(y) = -y**2 + 7*y - 32. Let p be h(0). What is the remainder when ((-112)/p)/(1/6 + 0) is divided by 11?
10
Suppose -7888 = -142*f + 64. What is the remainder when 558 is divided by f?
54
Let p = 4587 - 3728. What is the remainder when p is divided by 143?
1
Let a = -6817 - -7688. Calculate the remainder when a is divided by 24.
7
Let c = 1339 - 1304. Calculate the remainder when 114 is divided by c.
9
Let g be 2/(-6) - 130/(-30). Suppose -10*k = -g*k - 666. What is the remainder when k is divided by 9?
3
Let g(d) = d**3 - 3*d**2 + 4*d - 8. Let a be g(3). Let p = a + -21. Let c = p - -27. What is the remainder when 39 is divided by c?
9
Let a(k) = -k**3 + k**2 + 4*k - 2. Let n be (-2)/10 + 56/(-20). Calculate the remainder when 106 is divided by a(n).
18
Suppose 0 = -127*f + 107*f + 15580. What is the remainder when f is divided by 28?
23
Suppose -4 = -11*d + 18. Suppose 3*x = -3*i + d*i + 137, -103 = -2*x - 3*i. Calculate the remainder when x is divided by 28.
16
Let y(p) = 97*p**2 + 7*p - 2. Let q(n) = 97*n**2 + 6*n - 2. Let d(i) = 5*q(i) - 4*y(i). Calculate the remainder when d(-1) is divided by 25.
18
Suppose 3 = 18*s - 51. Suppose 5*g + 30 = 4*r, 3*r + r = s*g + 34. Calculate the remainder when 88 is divided by r.
8
Calculate the remainder when 1550 is divided by (-1 - (26 - 33))*(123/18 + 0).
33
Calculate the remainder when 32216/48 + 15/5 + 2/(-12) is divided by 96.
2
Suppose -5*v = 54 - 9. Calculate the remainder when (0 + v)/(12/(-200)) is divided by 14.
10
Suppose 47 = 2*u - 19. Suppose t - 337 = -1574*h + 1571*h, 0 = -6*t - 4*h + 2134. Calculate the remainder when t is divided by u.
31
Let i = 122 + -246. Let q = 128 + i. Suppose 4 = x - k - q, 3*k = -6. What is the remainder when 7 is divided by x?
1
Let b(u) = -u**3 - 9 + 4*u**2 + 4*u - u + 2*u**2. Let d = -80858 - -80881. Calculate the remainder when d is divided by b(6).
5
Suppose 4*u - 99*j = -103*j + 208, 4*u = -j + 193. Calculate the remainder when u is divided by 28.
19
Let q = -24 + 49. What is the remainder when (7 - 1264/112)/(6/(-140)) is divided by q?
0
Let s(x) = -x**3 - x**2 + 30. Suppose 3*p + 2*j - 6 = 0, 9 = -p + 3*j - 0. Let d = 19 - -2. Calculate the remainder when s(p) is divided by d.
9
Suppose -n + l = -262, 10*n - 9*n + 3*l - 254 = 0. Let g = n + -6. Calculate the remainder when g is divided by 15.
14
Let p(k) = -4*k**2 + 48*k - 25. Let y be p(12). Calculate the remainder when 141 is divided by (-72)/14*(y - -18).
33
Let u = 582 - 582. Suppose 7*j - 724 - 641 = u. Calculate the remainder when j is divided by 68.
59
Let p(f) = 386*f + 10469. Calculate the remainder when p(-26) is divided by 138.
19
Calculate the remainder when 8577 is divided by ((-27)/162 + (1 - 310/(-24)))*12.
162
Calculate the remainder when -169*38/(-741)*(2 - -25) is divided by 90/(-54)*(-2 + -1).
4
What is the remainder when ((-15)/(-9))/(93/19530) is divided by 68?
10
Let h = 2549 - 2534. What is the remainder when 1586 is divided by h?
11
Let r(u) = 26*u - 1066. What is the remainder when 90 is divided by r(43)?
38
Suppose 16*m - 441 - 2544 = -73. Let s be 1/(-2) - 7/(-2). Suppose 3*f = 15, -s*j + 4*f + 3 = -2*j. Calculate the remainder when m is divided by j.
21
Let k(v) = v**2 + 57*v - 46. Let i be k(-43). Let b = i + 672. Suppose 4*u - 19 - 9 = 0. Calculate the remainder when b is divided by u.
3
Let o = -1905 - -3307. What is the remainder when o/4 - 117/78 is divided by 44?
41
Suppose -2*u + 58 = 2*d, 2*d + d - 2*u = 82. Let c be (d - 1/1) + -2. Suppose -7*p + c = -17. Calculate the remainder when 31 is divided by p.
1
Let t(b) be the first derivative of -5*b**3/6 - 4*b**2 - 18*b - 20. Let g(y) be the first derivative of t(y). What is the remainder when g(-3) is divided by 4?
3
Let z = -15 - -27. Let p(r) = 22*r - 22. Let i be p(10). Let q = 201 - i. What is the remainder when z is divided by q?
0
Let p be (-5 - 118) + -2 - -7. Let o = 131 + p. Calculate the remainder when 46 is divided by o.
7
Calculate the remainder when 434 is divided by (-7 + 11 + -5)*(-51 + 4 + 3).
38
Let f = -83 + 443. Suppose 12*c = -6*c + f. Calculate the remainder when 26 is divided by c.
6
Suppose 6*m + 4878 = 2*d + 11*m, -7*m = -5*d + 12195. What is the remainder when d is divided by 26?
21
Suppose 77*k = 76*k + 65. Suppose -5*r + 5*n = -33 - 12, -5*r + n + k = 0. What is the remainder when 82 is divided by r?
12
Let g(p) = -161*p - 3611. Calculate the remainder when g(-25) is divided by 284.
130
Suppose 0 = -8*x + 493 + 955. Let k(h) = 2*h**3 + 4*h**2 + 4*h - 3. Let z be k(-4). Let f = z + x. What is the remainder when f is divided by 20?
18
Let l = -51 - -31. Let q = 0 + 8. Calculate the remainder when 40 is divided by 219/15 - 1 - q/l.
12
Suppose w - 5*d - 66 = -6*d, w - 21*d - 44 = 0. What is the remainder when w is divided by 32?
1
Let h = 97 - -18. Suppose 0*p - 1 = -p, 2*s = -5*p + h. Suppose -13*k - s = -18*k. What is the remainder when 31 is divided by k?
9
Let n(f) = -f**3 + 3*f**2 + 71*f + 11. What is the remainder when 45 is divided by n(10)?
3
Let z = -51 - -19. What is the remainder when (4 - (-3 + 3))*30/4 is divided by ((-11)/22)/(1/z)?
14
Let j = 113 - 142. Let h = -29 - j. What is the remainder when -46*(-3 - -2) - h is divided by 12?
10
Suppose 184*q - 290*q + 335983 = -412483. What is the remainder when q is divided by 66?
65
Let q be -248 + -1 - (-4 - 5). Let v = q - -252. Calculate the remainder when 151 is divided by v.
7
Suppose -2*g + 12 = -y, g + 4*y - 24 = -0*y. Calculate the remainder when 3*(322/(-42) - -12) is divided by g.
5
Suppose 470*y + 12 = 467*y, 4*p - 19188 = -2*y. Calculate the remainder when p is divided by 40.
39
Suppose 3*h = 4*g + 143, 0 = -h + 5*g - 0*g + 33. Let j(w) = -4*w + 57. Let v be j(12). Suppose v = -4*i + h. Calculate the remainder when 219 is divided by i.
10
Let n(g) = g**3 - 68*g**2 - 57*g + 356. What is the remainder when n(69) is divided by 29?
24
Let s(c) = 655*c + 164. What is the remainder when 167 is divided by s(0)?
3
Let z = 14169 + -12639. Calculate the remainder when z is divided by 57.
48
Let k = -136 - -138. Suppose 4*g - 8*q = -4*q + 352, -k*q = 4*g - 352. What is the remainder when g is divided by 15?
13
Suppose -r - 86 + 716 = 4*s, -4*s = -4. Suppose -33*q + r = 4*w - 38*q, 2*w + q - 320 = 0. What is the remainder when w is divided by 55?
49
Let t = 666 + -275. Suppose 0*i + t = 17*i. Calculate the remainder when 43 is divided by i.
20
Let o(f) be the second derivative of f**4/6 + f**3 + 3*f**2 - 64*f. Calculate the remainder when o(5) is divided by 11