ivided by m.
1
Suppose -13434 + 13135 = -o + 2*u, 2*o - 2*u = 604. Let i = -55 - -109. Suppose -i = 2*l - 5*l. Calculate the remainder when o is divided by l.
17
Suppose -11*c = -12 - 10. Suppose -5*v + 210 = 5*r, r + c*v + 3*v = 38. Let p = r + -30. Calculate the remainder when 60 is divided by p.
8
Let l(y) = 2*y**2 - 54*y - 19. Let o(j) = j**3 - 13*j**2 + 15*j - 8. Let w be o(12). What is the remainder when 109 is divided by l(w)?
35
Let b(f) = -15*f**3 + f**2 - 21*f - 42. Let k(u) = u**3 + 8*u**2 + 16*u + 22. Let n be k(-6). Calculate the remainder when b(n) is divided by 21.
19
Let j be (-6)/10 - (-1936)/10. Let q = -99 + j. Let l = q + -56. Calculate the remainder when l is divided by 11.
5
Suppose 0 = -64*d + 36*d + 27356. Let w = 1009 - d. Calculate the remainder when 166 is divided by w.
6
Suppose -4*i + 589 = -h, i - 304*h - 146 = -305*h. What is the remainder when i is divided by 36?
3
Suppose -58 = 41*f - 43*f. Let x(b) = 6*b**3 + 3*b**2 - b - 4. Let d be x(-3). Let g = d + 191. What is the remainder when g is divided by f?
26
Let k(p) = 2*p + 4*p**3 + 323*p**2 - 13 - 3*p**3 - p - 340*p**2. Let t = -11 + 26. What is the remainder when t is divided by k(17)?
3
Suppose 2*g - 2*b = 8*g - 898, -3*g + 5*b = -437. Calculate the remainder when g is divided by 12.
5
Suppose -3*d = -2*c + 279, 714 = 5*c - 27*d + 25*d. What is the remainder when c is divided by 95?
49
Let h = 305 - 138. Suppose 4*t + 2*d = 154, t = -2*t + 3*d + 111. Suppose 3*q + t = h. What is the remainder when q is divided by 15?
13
Suppose 61 = 4*c - 23. Suppose -z = 7 - c. Suppose 55 = -3*y + z*y. What is the remainder when 12 is divided by y?
2
Suppose -31020*z - 30940 = -31037*z. Calculate the remainder when z is divided by 129.
14
Suppose 0 = -2*a + 190 + 72. Let k be ((-962)/(-4))/(4/8). Let p = 516 - k. What is the remainder when a is divided by p?
26
Suppose -686*o + 132982 = -150*o + 4342. Calculate the remainder when 266 is divided by o.
26
Let p be (-48)/(-6)*(-86)/(-4). Let i = -164 + p. Let y = -45 + 70. What is the remainder when y is divided by i?
1
Suppose 0*k - k = 5*l - 23, 3*k - 3*l - 159 = 0. Suppose -14*x - 782 = -5*x - 3311. Calculate the remainder when x is divided by k.
41
Suppose -230 = -3*z + v, -z + 140 = z + 2*v. Let f = 84 - 65. What is the remainder when z is divided by f?
18
Suppose -12*n + 13*n = v + 48, -2*v + 57 = n. What is the remainder when 916 is divided by n?
49
Let g(f) = 2*f**3 - 24*f**2 + f - 12. Let s be g(12). Suppose 23*c - 1291 - 227 = s. What is the remainder when c is divided by 35?
31
Let n be -4*175/(-10) + 0. Let u be 9/6 - n/(-4). Suppose -g = -2 - u. Calculate the remainder when g is divided by 7.
0
Suppose 29 + 10 = 3*y + 3. What is the remainder when 766 is divided by y?
10
Let l(y) = -8*y**3 + 3*y**2 + 2*y - 1. Suppose 21*p - 23*p - 4 = 0. Let q be l(p). Let v = -62 + q. Calculate the remainder when 70 is divided by v.
7
Let h = 320 + -320. Let m(y) = y**3 + 10*y**2 + 2*y + 98. Calculate the remainder when m(h) is divided by 21.
14
Let d be -3 - 2/2*-9. Calculate the remainder when 50 is divided by (1 - d/18)*(18 + 3).
8
Let p = 196 + -113. Let v = 95 - p. Calculate the remainder when 45 is divided by v.
9
Suppose -94*j + 86 = 2*x - 91*j, 5*x - 259 = -2*j. What is the remainder when 1482 is divided by x?
52
Suppose -2*h = -3*j - 188, 7*j = -2*h + 5*j + 198. Calculate the remainder when 30/12*(-3 + h) is divided by 59.
58
Let z(b) = 3*b**2 - 8*b - 45. Suppose -6*t + 17 = -11*t - 3*a, -14 = 4*t + 2*a. What is the remainder when z(t) is divided by 15?
5
Let v be 38/4*(14 - 0)*1. Let w = -102 + v. Let k = -1 + 60. What is the remainder when k is divided by w?
28
Let c = -187 + 190. Suppose -c*s + s + 5*y + 68 = 0, -2*s - 4*y + 50 = 0. What is the remainder when 84 is divided by s?
26
Let j(h) = -h + 5. Let u be j(0). Suppose 31 = 4*a - u. Suppose -2*t + 2376 = -0*t + 2330. What is the remainder when t is divided by a?
5
Let k(v) = v**3 + 5*v**2 - 6*v + 4. Suppose -1472*q + 2874*q = 1437*q - 3150. Calculate the remainder when q is divided by k(-6).
2
Suppose -167*q + 42990 = -84431. Calculate the remainder when q is divided by 69.
4
Suppose 0 = -2*f, 4*z - 3*z - 5*f = 94. Suppose 0 = -z*d + 89*d + 460. Calculate the remainder when d is divided by 16.
12
Suppose -104 = 3*w - 4*w. Suppose 10*q - w = 8*q. Let b(n) = n**3 + 2*n**2 - 3*n - 1. What is the remainder when q is divided by b(2)?
7
Suppose 3*c - 15 = -b, 0 = -3*c - 2*b + 20 - 2. Suppose -c*m = -6*m - 2*h + 46, -34 = -2*m + h. Calculate the remainder when 39 is divided by m.
1
Suppose 0 = 3*n - 17 + 8. Suppose 5 = -j, j = n*t - 9 - 17. Calculate the remainder when 40 is divided by t.
5
Let h(v) be the first derivative of -1/3*v**3 + 11*v + 5/2*v**2 - 13. Calculate the remainder when 19 is divided by h(6).
4
Let z be (1 - 430/4)/(1/2). Let k = z + 250. What is the remainder when 443 is divided by k?
36
Suppose 3*w - 3083 = -f, 9*f = 14*f + 5*w - 15475. Calculate the remainder when f is divided by 43.
5
What is the remainder when 4265 is divided by (-1)/((-1)/4*-12*24/(-2736))?
9
Suppose -7*n + 9*n - 56 = 0. Let l be ((-10)/8)/(2*(-1)/8). Suppose -2*y + 3*r - 11 = -118, 5*r = -l*y + 255. Calculate the remainder when y is divided by n.
24
Let l = 530 - 523. Suppose -9*h - j = -l*h - 45, -3 = -3*j. What is the remainder when 83 is divided by h?
17
What is the remainder when 795/(-12)*104/(-260)*1868/2 is divided by 104?
103
Suppose 2*g = -i + 41, -3*g = 3*i - 8*i + 218. Let j(m) = 8*m + 2. Calculate the remainder when j(10) is divided by i.
39
Suppose 4*j - 19 = -q + 6*j, 4*j - 124 = -4*q. Let h = 191 + -106. What is the remainder when h is divided by q?
4
Suppose 0 = 2*v + 61 - 11. Let x = -4 - v. Calculate the remainder when (-41)/(-164) + 1244/(-48)*-3 is divided by x.
15
Let r = 35 - 27. Let n be ((-27)/(-6) - 4)*r. Suppose -3*p = 2*g - 144, -5*p + n*g = -114 - 148. What is the remainder when 198 is divided by p?
48
Let w be 4 + (5 - 13) + 4. Suppose -8*l + w = -96. What is the remainder when 213 is divided by l?
9
Let i be 4 + 5/(10/8). Suppose -12*x + 44 = -i*x. Let y(g) = g**2 - 5*g - 24. What is the remainder when y(x) is divided by 15?
12
Suppose -h + 30 = h. Let n = -124 - -197. Let v = -17 + n. What is the remainder when v is divided by h?
11
Let r(a) = 95*a - 137. Let s be r(4). Let w = s - 206. Calculate the remainder when 183 is divided by w.
35
Let b = 1730 + -1573. Calculate the remainder when b is divided by 40.
37
Suppose 19*x - 19 = 18*x. Suppose p - k - 3*k - 46 = 0, -x = -p - 5*k. What is the remainder when p is divided by 5?
4
Suppose -3*b = z + z - 14, -3*b + 44 = -4*z. Calculate the remainder when 36 is divided by b + (-5)/(15/(-18)).
8
Let j = -1721 + 1763. Calculate the remainder when 920 is divided by j.
38
Let z = -265572 - -265602. Suppose 236 = 3*b - 2*v, -2 = 5*v - 3*v. Calculate the remainder when b is divided by z.
18
Let t(q) = -4*q**2 - 3. Let a(f) = -13*f**2 - f - 9. Let c(j) = 2*a(j) - 7*t(j). What is the remainder when (6/(-18) + 28/12)*39 is divided by c(-3)?
24
Let m(n) = 9*n**2 + 84*n - 56. Calculate the remainder when m(6) is divided by 63.
16
What is the remainder when 704 is divided by (6/(-21))/(78/(-819))?
2
Suppose -4*w + 72 - 64 = 0. Suppose 0 = v - 2*d - 7, 0 = -2*v - 2*d - w + 4. Let k(s) = 7*s**2 + 2*s - 1. What is the remainder when k(v) is divided by 18?
14
Suppose 108*v + 1 = 107*v. Calculate the remainder when 36 is divided by 2/(2 - 0)*(18 - v).
17
Let h = 415 + -287. Suppose 0 = -v - 2*b + 44, 3*v = -v + 4*b + h. What is the remainder when v is divided by 10?
6
Suppose -24565 = -5*m - 72*m + 73379. Calculate the remainder when m is divided by 241.
67
Suppose 0 = 2*f + 54*j - 57*j - 3430, 1730 = f + j. Calculate the remainder when f is divided by 24.
20
Let m(r) = 405*r + 12. Let t be m(4). Calculate the remainder when 99 is divided by t/(-72)*(-6)/4.
31
Suppose -3 = -4*d + 5. Suppose 8 = -d*a + 50. Suppose 64*j = 221 + 291. Calculate the remainder when a is divided by j.
5
Let r = 23521 + -23473. What is the remainder when 16126 is divided by r?
46
Suppose -4*x = -10 - 70. Suppose 5*b + 18 = -10*a + 14*a, 3*b + 2*a = -24. What is the remainder when (3 + (-99)/b)/((-1)/(-4)) is divided by x?
18
Let j = -4159 - 