 Calculate the remainder when k(18) is divided by r.
89
What is the remainder when 3/3*(24/(-30) - 40789/(-5)) is divided by 32?
29
What is the remainder when 831 is divided by (6 + 216/(-48))*208/6?
51
Suppose 15461*i + 80550 = 15486*i. Calculate the remainder when i is divided by 51.
9
Suppose 20653 = -166*u + 357*u - 172*u. What is the remainder when u is divided by 357?
16
Suppose 5*a - 1 = 9. Suppose -36 = -2*z + a. Let q = -1 - -37. What is the remainder when q is divided by z?
17
Suppose -1816*l + 1819*l - 12 = 0, -5*l = -2*m + 2028. Calculate the remainder when 3084 is divided by m.
12
Suppose 0 = 1490*y - 56536 - 23924. Let j be (0 + 6)*2/6. Suppose 59 = 5*z - l, 4*z + 5*l - j*l = 32. Calculate the remainder when y is divided by z.
10
Calculate the remainder when ((-110)/(-11) - 16) + 3138 is divided by 15.
12
Suppose -11*k + 10*k = -5*f + 16, 4*f = 16. Suppose 5*h - 16*x - 161 = -12*x, -k*h + 5*x = -136. What is the remainder when h is divided by 1?
0
Suppose 260 = u - 2*j, 0 = -5*u - 2*j + 4*j + 1268. Let v = u - 173. What is the remainder when v is divided by 17?
11
Let a be 56 - 2 - (2 + 2)*-1. Let w = a + -60. What is the remainder when 184/w*18/(-72) is divided by 11?
1
Let a = 287 + -184. Let h = 217 - a. What is the remainder when h is divided by 40?
34
Suppose -p = -j - 195, -2*p + 66*j + 404 = 71*j. Calculate the remainder when p is divided by 96.
5
Suppose 103*x - 87421 + 7957 - 63706 = 0. Calculate the remainder when 1404 is divided by x.
14
Let n = 2073 + -1945. What is the remainder when n is divided by 5?
3
Suppose 0 = -6*f - 780 + 756. What is the remainder when 67 is divided by (-81)/(-12) + 5 + (-1)/f?
7
Let v(u) = 367*u - 319. Let d(o) = 2*o + 3. What is the remainder when v(1) is divided by d(7)?
14
Let i(b) = -b**2 - 31*b - 67. Suppose 0 = 13*w - 15*w - 2, -3*z = 3*w + 81. What is the remainder when i(z) is divided by 14?
7
Suppose 30*g = -2*r + 35*g + 1016, r - 486 = -3*g. What is the remainder when r is divided by 42?
36
Let q = 970 - 588. Suppose 112 = -10*y + q. Calculate the remainder when 32 is divided by y.
5
Let p(c) be the second derivative of 59*c**5/20 + c**3/6 - 20*c. Let v be p(2). Suppose 7*w = v - 26. What is the remainder when w is divided by 17?
13
Suppose 1466 - 5232 = -7*j. What is the remainder when j is divided by 34?
28
Suppose r + 2*d + 6 = 0, -2*r + 6*r + 4*d = -8. Suppose n = -3*k + 47, -r*k - 2*n + 60 = 2*k. Calculate the remainder when 32 is divided by k.
15
Suppose 0*c + 28 = 4*c. Suppose 8 = 20*b - 12*b. What is the remainder when b + (1*(2 + 2) - -8) is divided by c?
6
Suppose -j - 13*x = -9*x - 23, 0 = x - 1. What is the remainder when 718 is divided by j?
15
Let m(t) = 858*t**3 - 10*t**2 + 27*t - 11. What is the remainder when m(2) is divided by 17?
16
Calculate the remainder when ((-20)/(-16))/(60/(-36)) - 959/(-4) is divided by 33.
8
What is the remainder when 377/5 + 4/(-10) is divided by -27*4/(-7) + 152/266?
11
Calculate the remainder when (-972125)/525*(-9)/5 is divided by 25.
8
Suppose 3742 = 2*b + 7*i, -4*i + 5*i = b - 1907. What is the remainder when b is divided by 946?
7
Let z(p) = 2*p + 2. Let q(h) = 5*h**2 - 30*h + 4. Let v be q(4). Calculate the remainder when z(2) is divided by (v/(-12))/(6/4).
0
Suppose -1853*w + 1870*w = 340. What is the remainder when 97 is divided by w?
17
Let f(c) = 92*c + 43. Let h be f(3). Let k = h - 304. What is the remainder when 54 is divided by k?
9
Calculate the remainder when (-3)/((-24)/9 + 3) - -406 is divided by 135.
127
Suppose 0 = -3*y - c + 3*c + 28, 0 = 4*y - 2*c - 38. Calculate the remainder when ((-2)/(-6))/(2*(-3)/(-4644)) is divided by y.
8
Let b = -89 + 95. Suppose -138 = 3*c - b*c. Let h(p) = 12*p**2 + 5*p + 7. Calculate the remainder when h(-4) is divided by c.
41
Let a(w) = -w**3 - 10*w**2 + 17*w - 1. Let m(h) = h**2 - 9*h + 17. What is the remainder when a(-12) is divided by m(9)?
15
Let t(r) = r**3 - 7*r**2 + 7*r - 3. Let h be 38/(2 - (8 - 4)). Calculate the remainder when (-1 - -17) + (h - -20) is divided by t(6).
2
Suppose 5*p + 612*u - 607*u - 835 = 0, 4*p = 2*u + 674. Calculate the remainder when p is divided by 49.
21
Let r = -4160 - -4200. What is the remainder when r is divided by 32?
8
Suppose 16 = 4*j + 4*d, 0*j - 3*d = -3*j + 18. Suppose -5*w - 135 = -s, -j*s + 40*w + 606 = 38*w. What is the remainder when s is divided by 46?
28
Suppose -8*n + 18 = -2*n. Let o be ((n - 3)/4)/2 - -15. Suppose 13 = 2*m - o. Calculate the remainder when m is divided by 9.
5
Let f(p) be the second derivative of p**3/3 - 17*p**2/2 + 97*p. What is the remainder when 66 is divided by f(24)?
4
Suppose 3*o = 3*n + 39, -n + 0*n = 2*o - 11. Let z(x) = -x**2 + 5*x + 32. Calculate the remainder when 69 is divided by z(o).
5
Let m = 164 + -159. Suppose 5*n = -m*u + 38 + 427, -2*n + 2*u + 190 = 0. Calculate the remainder when n is divided by 34.
26
Suppose 0 = -h - 2*h + 315. Let c(y) = 18*y - 72. Suppose 2*v - 70 = -58. Calculate the remainder when h is divided by c(v).
33
Let t(z) = 30*z + 3. Suppose -209*d = -205*d - 9 - 147. What is the remainder when t(5) is divided by d?
36
Suppose -4*h - 152 = -4*f, 0 = -3*f + f - 3*h + 96. Let d = -272105 - -272184. Calculate the remainder when d is divided by f.
37
Let m(i) = -i**2 + 39*i + 176. Let c be m(43). Suppose a + c*a = 5*x + 1270, x - 523 = -2*a. What is the remainder when a is divided by 87?
85
Suppose 0 = -2*c - 5*c + 119. Suppose j - 2*x = 151, -c*j + 14*j = -4*x - 455. Calculate the remainder when j is divided by 14.
13
Suppose 9*k = -2*w + 5*k + 88, -121 = -3*w + 5*k. Suppose -3*x + 15 = m, -3*x - 4 = -3*m - 19. Calculate the remainder when w is divided by ((-6)/x)/((-4)/30).
6
Suppose 0 = -4*n - 2*q + 970, -6*q + 3*q = -n + 253. Suppose n = 3*c - 0*j - 5*j, 5*c + 5*j = 460. Calculate the remainder when c is divided by 15.
13
Calculate the remainder when 104 is divided by (0 - 3) + (782/51 - 1/3).
8
Suppose 2131 = 7*k + 87. Suppose -3*z + k = 25. Calculate the remainder when z is divided by 7.
5
Let h be (-104)/(-12)*3/2. Let x(j) = -2*j - 34. Let a(n) = n. Let c(u) = 6*a(u) + x(u). Calculate the remainder when 251 is divided by c(h).
17
Suppose 4*m + m - 160 = 0. What is the remainder when (-34)/476 + (-12324)/(-56) is divided by m?
28
Let q be (27/(-45))/((-2)/10). Suppose -q*k + 21 = -0*z - 2*z, -21 = -3*k - z. Let s = 31 - 15. What is the remainder when s is divided by k?
2
Suppose -40*z - 70*z + 92*z + 6300 = 0. What is the remainder when z is divided by 110?
20
Suppose 272 = -13*j + 441. Calculate the remainder when 116 is divided by j/(-26)*(2 + -36).
14
Calculate the remainder when ((-3)/(-1) - 4) + (-340)/((-2)/1) is divided by 42.
1
Suppose -p - 104 = -112. Let y(v) be the first derivative of v**4/4 - 8*v**3/3 + 2*v**2 - 11*v + 3. Calculate the remainder when y(8) is divided by p.
5
Let j = -21089 - -23536. Calculate the remainder when j is divided by 304.
15
Let j = 34 - 150. Let k = -91 - j. What is the remainder when 44 is divided by k?
19
Let j = 4502 - 4429. Calculate the remainder when 136 is divided by j.
63
Let o(g) = -35*g - 22. Let v(d) = 2*d**2 + 51*d + 20. Let i be v(-25). What is the remainder when o(i) is divided by 52?
49
Let p(i) = -93*i - 235. What is the remainder when p(-13) is divided by 13?
12
Suppose -4*u - 415 = 1209. Let s = -363 - u. What is the remainder when 128 is divided by s?
42
Let n(u) = 98*u**3 - u**2 + 3*u - 2. Let v(a) = -13*a**2 + 58*a - 2. Calculate the remainder when n(1) is divided by v(4).
10
What is the remainder when 618 is divided by 17120/28 + 3/(-7)?
7
Suppose 0 = 1098*y - 1091*y + 21. Suppose -104 = -4*k - 5*o + 58, -5*o - 139 = -3*k. What is the remainder when k is divided by 1/y*3*-23?
20
Suppose 5*y - 200 = -5*m, 2*y + 16*m = 20*m + 98. What is the remainder when 518 is divided by y?
2
Let i = -1824 + 6447. What is the remainder when i is divided by 16?
15
Suppose 4*i - 5*t + 3*t = 28, -4*i - 3*t = -28. Suppose 30 = x + i. Let a = 10 + 3. Calculate the remainder when x is divided by a.
10
Suppose 3*x - 3*v = 600, v - 122 + 1130 = 5*x. Let r = 234 - x. Calculate the remainder when r is divided by 22.
10
Suppose -3*c - v + 116 = 0, 4*v = -4*c - 0*v + 160. Let q = 397 + -286. Calculate the remainder when q is divided by c.
35