emainder when x is divided by u?
7
Let r be 10/65 - (-6685)/65. Suppose -46 = -5*n + 5*h + 109, 2*h - r = -3*n. Calculate the remainder when 161 is divided by n.
29
Suppose -4*g = -71 - 621. Suppose 0*v - 5*v - 3*y + g = 0, -3*v + 4*y + 127 = 0. Calculate the remainder when v is divided by 10.
7
Let v(c) = -3*c - 5. Let t be v(-5). Suppose -2*f - t = 4*k, 5*k = f - 6 - 17. Suppose 3*m + f*m - 474 = 0. Calculate the remainder when m is divided by 21.
16
Let r be (-16)/(-6) + 2/6. Suppose -2*u + 10 = r*v + 3, -v = 1. Suppose -4*m + u*b = b - 16, 3*b + 26 = 5*m. What is the remainder when m is divided by 5?
2
Suppose 44*u = 49*u - 190. What is the remainder when 74 is divided by u?
36
Let n(p) = 4*p**3 - 4*p**2 + 5*p - 10. Let q be n(3). Suppose -q = -9*y + 13. Calculate the remainder when 57 is divided by y.
7
Suppose 0 = t - 3*n - 3, 4*n + 3 + 1 = -t. Suppose t*v = 5*v - 65. Let x = v + -7. What is the remainder when 11 is divided by x?
5
Let f(s) = s + 3. What is the remainder when 6 - 34/(-11) - (-2)/(-22) is divided by f(0)?
0
Let b = 186 - 22. What is the remainder when b is divided by 28?
24
Let o = -39 - -61. Calculate the remainder when 70 is divided by o.
4
Let m = 88 + -34. Let o = -57 + 126. Let g = o + -41. Calculate the remainder when m is divided by g.
26
Let d = 9 - -3. Let i(p) = 17*p + 1 - 8*p + d*p. Calculate the remainder when i(2) is divided by 15.
13
Let d be 20/6*(-7)/((-35)/30). What is the remainder when 45 is divided by d/(-2)*(22/(-5) + 2)?
21
Let v be 1/(-4)*2*8. Let s be (1 + 33)*(-2)/v. Suppose -3 = u - s. Calculate the remainder when 39 is divided by u.
11
Let i(h) = -h - 3. Suppose 17 = -4*n - 51. What is the remainder when 53 is divided by i(n)?
11
Let h(s) = 5*s + 108. Let u(p) = -2*p - 53. Let y(k) = 4*h(k) + 9*u(k). Calculate the remainder when 16 is divided by y(29).
3
Suppose 0 = -5*a, -964 = -4*m - 19*a + 17*a. What is the remainder when m is divided by 77?
10
Let t(x) = 3*x - 8. Let a(m) = m**3 - 8*m**2 - m. Let v be a(7). Let b = -6 - v. What is the remainder when b is divided by t(7)?
11
Let m(r) = -r**2 - 66*r - 581. What is the remainder when 1293 is divided by m(-55)?
21
Suppose 0 = 2*z + z - 2619. Suppose 1 - z = -8*y. Calculate the remainder when y is divided by 22.
21
Let c(s) = s**2 + 6*s + 3. Let v be c(3). Suppose 21 = -v*p + 33*p. Let r(a) = 6*a + 2. What is the remainder when r(4) is divided by p?
5
What is the remainder when (-142)/(-4) + (-4)/(-8) is divided by (-276)/(-20) + 24/(-30)?
10
Let n(k) = -k**2 + 14*k + 18. Let z be n(15). Suppose 3*v = -z*v + 354. Calculate the remainder when v is divided by 23.
13
Let c = 187 - 56. What is the remainder when c is divided by 33?
32
Calculate the remainder when 8/(-6) - 320/(-24) is divided by 9.
3
Let s(z) = 17*z - 181. Calculate the remainder when s(11) is divided by 2.
0
What is the remainder when 536 is divided by (-2 + (0 - -1))*(-630)/14?
41
Let k be 183/(-12) + 3/12. Let m = k - -47. What is the remainder when 62 is divided by m?
30
Suppose 0 = 4*s + 5*d - 59, s + d - 24 + 9 = 0. Calculate the remainder when 3 + -3 + (-92)/(-2) is divided by s.
14
Let x(z) = 5*z**2 - 12*z + 33. Let k be x(9). What is the remainder when 9840/k + 2/11 is divided by 16?
14
Suppose 104 = j - 3*i, -3*j - 20*i + 17*i + 324 = 0. Calculate the remainder when 421 is divided by j.
100
Let m(o) = -o**3 - 13*o**2 + 32*o - 67. What is the remainder when m(-17) is divided by 178?
11
Let n(x) = 3*x**3 - x**2 - 4*x + 3. Let f be n(2). Suppose -f*d - 220 = -19*d. What is the remainder when d is divided by 29?
26
Let a = 118 + -111. Suppose a*c - 428 = 132. Calculate the remainder when c is divided by 41.
39
Let u(j) = -39*j - 74. What is the remainder when u(-7) is divided by 40?
39
Let g(p) = -5*p + 21. Let c(s) = 5*s - 21. Let h(j) = -4*c(j) - 5*g(j). Calculate the remainder when 24 is divided by h(6).
6
Suppose 5*a = -b + 50, a - 20 = -4*a + 5*b. Suppose 0 = a*k - 4*k - 120. Let p = k + -16. What is the remainder when 13 is divided by p?
5
Let m(w) = w**3 - 3*w**2 + 5*w + 3. Let a(i) = -2*i**2 + 13*i + 16. Let j be a(-8). What is the remainder when m(4) is divided by j/(-21) - 4/14?
9
Suppose -134*m = -148*m + 966. What is the remainder when 360 is divided by m?
15
Suppose 0 = -17*y + 15*y + 168. Calculate the remainder when y is divided by 18.
12
Suppose 3*d - 1 = -4. Let l be 1/(d/4*-2). What is the remainder when (27/2)/(1/l) is divided by 15?
12
Let v = -53 + 89. Suppose 5*j + 35 = 5*s, -4*s + 10*j - 8*j = -v. Calculate the remainder when 37 is divided by s.
4
Let i = 9 - 4. Calculate the remainder when (-9 + 2)*1*-1 is divided by i.
2
Let u = -3 + 5. Suppose -u*s - 3*b + 51 = 0, b = 2*s - 3*s + 24. Suppose 0 = 2*z - 7*z + 30. What is the remainder when s is divided by z?
3
Suppose 0 = -4*b + 4*f - 32, 0 = -8*f + 3*f + 20. What is the remainder when 6/b*336/(-63) is divided by 4?
0
Let r(y) = -y**3 + 55*y + 75. Suppose 5*j + 2*s = 5, 0 = 4*s - 7*s - 15. What is the remainder when j is divided by r(8)?
0
Suppose 0 = -2*x + 4*v + 48, -5*x - 10 = -4*v - 106. Suppose 2*k = 6*k + 4*b - x, 0 = -b - 3. Calculate the remainder when 10 is divided by k.
3
Let p(b) = 37*b - 112. Let y(c) = 13*c - 37. Let h(x) = 3*p(x) - 8*y(x). Calculate the remainder when h(9) is divided by 3.
2
Let m = -2 - -41. Let u = -2908 - -2916. What is the remainder when m is divided by u?
7
Let k = -242 - -268. Calculate the remainder when k is divided by 9.
8
Suppose 5*a - 261 = -71. Suppose -a = -j + 20. Suppose -j = -2*i + 5*b - 20, 5*i - 137 = 2*b. Calculate the remainder when i is divided by 8.
5
Suppose 3*l + 3*y - 1018 = l, 0 = 2*l - 3*y - 994. What is the remainder when l is divided by 42?
41
Suppose 0 = -5*u + 5*m + 390, -3*m = 3*u + u - 312. Suppose 2*o - 2*h = 6*o - 122, -2*o = -2*h - 46. Calculate the remainder when u is divided by o.
22
Suppose 5*p - 14*p + 2934 = 0. What is the remainder when p is divided by 30?
26
Let f(u) = -u**2 - 2*u + 3. Let m be f(-3). Let c = 4 + m. Suppose 0 = -c*l + 38 + 34. What is the remainder when l is divided by 10?
8
Let w = 192 + -162. Calculate the remainder when 569 is divided by w.
29
Suppose j = -16*j + 2329. What is the remainder when j is divided by 28?
25
Let r(k) = k**2 + 2*k + 28. Calculate the remainder when r(-3) is divided by 4.
3
What is the remainder when (-1)/3 + 307/3 is divided by (-10 - -13) + -13 - -23?
11
Let q = 28 - 25. Suppose -q*l + 33 = -0*l. Suppose -2*j + 39 + l = -2*d, 3*j = 4*d + 75. Calculate the remainder when j is divided by 13.
12
Suppose 6*q - 160 = q. Let g be 33/(-7) - (-8)/(-28). Let y = 16 + g. What is the remainder when q is divided by y?
10
Let j(y) = -11*y + 19. Let f be j(-6). Suppose q = -5*c + f, 3*c = 3*q - q + 51. Let t = c - 4. Calculate the remainder when 36 is divided by t.
10
Suppose 0 = -2*g + 4*g - 26. Let y = 23 - g. Let h = 18 + y. What is the remainder when 83 is divided by h?
27
Let b(u) = u**2 - 9*u + 3. Calculate the remainder when (-5868)/(-585)*5 + (-2)/13 is divided by b(10).
11
Suppose 554 = 5*t - 2*w, -4*t - 3*w = -250 - 207. What is the remainder when 1678 is divided by t?
110
Let f(x) = 5*x + 47. What is the remainder when f(19) is divided by 12?
10
Let g = -3 - -19. Suppose -7*v + 94 = -5*v - 5*o, 0 = -4*v - o + 188. What is the remainder when v is divided by g?
15
Let m(c) = -76*c - 57. Let f = 91 - 18. What is the remainder when f is divided by m(-1)?
16
Let d be -3 + (-30)/(-2) + 28/(-7). Suppose d*b - 263 = 489. What is the remainder when b is divided by 33?
28
Let x = 501 + -310. Calculate the remainder when x is divided by 97.
94
Suppose -65*b + 60*b + 2*z + 2 = 0, b + 4*z - 18 = 0. Let x be 2/4 - (-38)/4. Suppose 2*h = -3*h + x. What is the remainder when b is divided by h?
0
Suppose 10 = 3*p - 5. What is the remainder when (5 - 172/12)*(-3)/2 is divided by p?
4
Suppose -27*v + 22*v - 4*n = -2537, -v + 501 = 4*n. Calculate the remainder when v is divided by 17.
16
Let j be -6 + 6 + 14 + 3. Suppose -7 = -3*i + j. What is the remainder when 30 is divided by i?
6
Suppose -7*s = -2*s - 120. Let h = 18 + s. Suppose -5*m = -r + 71, -r + 3*m + 19 = -h. Calculate the remainder when r is divided by 24.
22
Suppose -261*n = -275*n + 28. Suppose 4*a - 2*h - 18 = 0, -3*a - 4*h + 41 = -0*a. Ca