hen 60 is divided by r(35).
0
Let a = -41 + 78. Suppose -a = -4*x - 9. Suppose 2*z - 45 = 5*p, -x*z + 3*z + 78 = 2*p. What is the remainder when 75 is divided by z?
15
Suppose -4*y + 3 - 4 = -p, 0 = 3*p - 2*y - 3. What is the remainder when 2/((p/(-83))/((-2)/4)) is divided by 5?
3
Suppose u - 5*u - 48 = 0. Calculate the remainder when 70 + (1 - (2 + 0)) is divided by ((-18)/u + 3)/((-2)/(-8)).
15
Let k(x) = -x**3 - 16*x**2 - 15*x + 9. Suppose 0 = 5*s - 2*i - 320, 4*s - i + 62 = 315. Let a = 115 - s. What is the remainder when a is divided by k(-15)?
8
Let o(y) = 12*y**2 - 3*y + 2. Suppose 293*l = -277*l - 8115 + 34335. Calculate the remainder when o(4) is divided by l.
44
Suppose -2*w - b + 46 = 0, -3*w + 2*b + 130 = 40. What is the remainder when 97 - (3 + -2) - -3 is divided by w?
21
Suppose 0 = -w + 2*w - 5*d - 12, -5*w + 18 = -4*d. Let v(h) = -4*h + 5*h + 2*h + 30*h - 9. Calculate the remainder when v(w) is divided by 4.
1
Let v = 117 + -114. Suppose -v*d + 14 = k, 5*d + 2 - 32 = -3*k. Suppose -19*b + 56 = -k*b. Calculate the remainder when 70 is divided by b.
2
Let i = -161 + 241. Suppose -2*u + 5*m + 32 = m, 5*m + i = 5*u. Let s(y) = y**3 - 31*y**2 + 32*y - 32. What is the remainder when s(30) is divided by u?
12
Suppose -44 = -6*f + 4. Suppose -18 = 2*k + 5*z - 44, 0 = 3*k - 5*z + 11. Let n(t) = 2*t**2 + 4*t. What is the remainder when n(k) is divided by f?
6
Let u(q) = 39*q - 39 - 8*q - 13*q**2 + q**3 - 12*q. Let j be u(12). Let t = j - 16. What is the remainder when t is divided by 16?
13
Let n be ((-1232)/(-33) - -3) + (-1)/3. Suppose -48*f + 112 = -n*f. Calculate the remainder when 17 is divided by f.
3
Suppose 0 = -3*g - 3*h + 339, -g - 9*h = -10*h - 119. Suppose 7*x = 12*x - 75. What is the remainder when g is divided by x?
11
Let j(l) = -l**2 + 23*l - 11. Let c be j(22). Suppose 2*d = -5*r + 62, -c*r = -8*r - 2*d - 34. Calculate the remainder when r is divided by 8.
4
Suppose 93 = c + 5. Let a = c + -85. What is the remainder when 0/(a - 5) - -22 is divided by 6?
4
Let g(j) = -8*j**2 + 982*j - 283. What is the remainder when g(114) is divided by 44?
41
Let s = 23 + -27. Let z be 16/(s/(-4)) + (-3)/3. What is the remainder when 90 is divided by (4 - 70/z)/((-2)/69)?
21
Let k(o) = -o**3 - 15*o**2 + 30*o + 101. Calculate the remainder when 511 is divided by k(-17).
4
Suppose -3*q - b + 96 = 0, -5*q - 6*b = -2*b - 153. Let z = -32 + q. What is the remainder when 9 is divided by z*2/2 + 3?
1
Suppose -x + 3 + 2 = 0. Let s(h) = -h**3 - 48*h**2 - 544*h + 172. Calculate the remainder when s(-19) is divided by x.
4
Let u = 25 + -58. Let t = u + 37. What is the remainder when 1 + (t - -1)*6 is divided by 18?
13
Let p(b) = -314*b + 202. What is the remainder when p(-3) is divided by 7?
3
Let i(w) = -45*w - 2. Let p be i(0). Let x = 3 + 39. Calculate the remainder when 161 + p + (-64)/(-8) is divided by x.
41
Suppose 24 = p + 4*m, 343*m = 339*m + 4. Let d(n) = 12. Let h(l) = -l + 13. Let g(q) = -3*d(q) + 2*h(q). Calculate the remainder when p is divided by g(-7).
0
Suppose -500 = -4*g - 228. What is the remainder when 118 is divided by g?
50
Suppose 0 = -y + 21*j - 18*j + 321, 3*j - 1254 = -4*y. Calculate the remainder when 975 is divided by y.
30
Suppose n + 33 = 5*a, -3*a - 3*n + 33 = -8*n. Suppose 150 = 3*w - a*w. Let h = -41 - w. What is the remainder when h is divided by 3?
0
What is the remainder when 105 is divided by (21 - 12)/((-6)/(-2)*(-6)/(-126))?
42
Suppose -5*w = 5*l - 440, 6*w + 98*l = 91*l + 531. Let h(p) = 3*p - 7. What is the remainder when w is divided by h(5)?
5
Suppose 19*i - 24*i = -5*c + 875, 3*c + 4*i = 588. Calculate the remainder when 1082 is divided by c.
162
Let w be 0 - (-3 - -3) - (-8 + 179). Let p = 519 + w. Calculate the remainder when p is divided by 14.
12
Suppose -983*y - 14973 = -1006*y. What is the remainder when y is divided by 316?
19
Suppose 0 = 167*d - 638*d - 272*d + 1449593. Calculate the remainder when 1957 is divided by d.
6
Let h = 169 + 21. Let k = -174 + h. What is the remainder when k is divided by 3?
1
Let c(k) be the first derivative of k**3/2 + 12*k**2 + 16*k + 22. Let h(n) be the first derivative of c(n). What is the remainder when h(11) is divided by 15?
12
Let m(d) = -92*d - 24. Let n be m(4). Let h = 279 + n. Let g = 128 + h. What is the remainder when 119 is divided by g?
14
Suppose 3*n - 190 = 50*u - 52*u, -2*u + 194 = 2*n. Calculate the remainder when u is divided by 55.
46
Suppose s = 2*n - 31 + 3, 0 = 5*n + s - 56. What is the remainder when (9/5)/((-4544)/45 - -101) is divided by n?
9
Suppose 17121 = 15*a - 8844. What is the remainder when a is divided by 28?
23
Calculate the remainder when 360 is divided by 3694/21 + 32/336.
8
Let k(u) = 2*u - 4. Let w = -57 - -77. Let n be -4*w/(-32) + (-2)/(-4). Calculate the remainder when 7 is divided by k(n).
1
Suppose -80*b + 3769 = -78*b - p, -3*p = -b + 1872. Calculate the remainder when b is divided by 27.
24
Calculate the remainder when ((-202)/(-4))/((-55)/(-1100)) - (0 - 9) is divided by 132.
95
Let v(g) = 33*g**2 + 2*g. Let b be (0 + 2 + -10)/((-2)/9). Let r = 35 - b. Calculate the remainder when 122 is divided by v(r).
29
Suppose -5*u + 9*u + 4*q = -148, -40 = u + 2*q. Suppose 2*x - 48 = x. What is the remainder when (3*(-11)/(-6))/(u/(-884)) is divided by x?
47
Suppose 3*o + k + 862 = 0, 0 = 5*o + 4*k - 476 + 1922. Let i = 297 + o. Suppose -2*w = w - 54. What is the remainder when w is divided by i?
7
Suppose 4*t = a + 250, -5*t - 68*a = -65*a - 338. Calculate the remainder when 544 is divided by t.
32
Suppose 704*q - 1393*q - 2024 = -693*q. What is the remainder when q is divided by 157?
35
Calculate the remainder when (20 - 24) + 307 + 14 is divided by 9.
2
Calculate the remainder when 93 + 1705 + (-40)/2 is divided by 52.
10
Calculate the remainder when 228 + 4 + (14 - 27) is divided by 48.
27
Suppose 2*p - 3*x - 46 = -2*x, 0 = 4*p - 4*x - 100. What is the remainder when -120*(36/(-135))/(-1 + 20/12) is divided by p?
6
Suppose -r - 4*r = -2*d - 16, 4*d + 4*r = 24. Let h(n) = 0*n**2 - 2 + 9*n**d - 8*n**2 - 4*n + 2*n. What is the remainder when 50 is divided by h(5)?
11
Suppose 61*w - 7143 = 2107 + 16004. What is the remainder when 1389 is divided by w?
147
What is the remainder when 213 is divided by (-133 - -169) + 0 + -8?
17
Suppose z + r = 1351, 30*z = 25*z + 5*r + 6755. Suppose -7*a + 196 = -z. Calculate the remainder when a is divided by 7.
4
Let d(s) = 4*s + 1. Let w be 2 + (1 - 3)*(268 + 18). Let n = w + 583. What is the remainder when d(6) is divided by n?
12
Suppose -145*m + 3540 = 32*m. Calculate the remainder when 471 is divided by m.
11
Calculate the remainder when 1860 is divided by (2 - -1*4)*-8*(-8)/16.
12
Let x = 10245 - 8838. What is the remainder when x is divided by 240?
207
Let k(v) = v**2 - 7 + 3066*v + 0*v**2 - 3051*v. What is the remainder when k(-22) is divided by 15?
12
Suppose -12*t - 34*t + 5934 = 23*t. What is the remainder when 821 is divided by t?
47
Let b = 1179 - 1151. Calculate the remainder when 223 is divided by b.
27
Calculate the remainder when (-10)/(-15)*(-4767)/35*-25*1 is divided by 50.
20
Calculate the remainder when 3030 + 316 - (2/6 + 10/6) is divided by 108.
104
Suppose 7*b - 2*h + 1264 = 3*b, 5*h = -2*b - 620. What is the remainder when 1/(-3 + -2) - 97398/b is divided by 39?
36
Suppose -4*a - 439 = -3*j, -3*a - 557 = -5*j + 160. What is the remainder when j is divided by (0 - 24/5)*(-860)/129?
13
Suppose 0 = 2*i + 4*i - 90. Suppose 4*g = 2*a + 264, 0 = -2*g - g + 3. Let m = a + 219. What is the remainder when m is divided by i?
14
Let c = 2036 - 1928. What is the remainder when c is divided by 37?
34
Suppose -5*p = -5*s + 385, -3*p = -5*s - 0*p + 393. What is the remainder when 642 is divided by s?
75
Let q(m) = 327*m - 8656. Calculate the remainder when q(28) is divided by 24.
20
Let r(b) = 4*b**3 + 65*b**2 + 11*b - 23. What is the remainder when r(-11) is divided by 185?
177
Let t = -86 + 82. Let j(v) = -19*v - 7. Calculate the remainder when j(t) is divided by 35.
34
Let j = 28 + -17. Suppose 0 = 2*z - 2*b - 14, j*z - 9*z = 3*b + 15. What is the remainder when 8 is divided by z?
2
Let c(u) = u + 6. Let j(w) = -w**3 + 11*w**2 - 11*w + 15. Let a be j(10). Let v be c(a). Let k =