
Let m(t) = -10*t**2 - 372*t - 17. Calculate the remainder when m(-36) is divided by 45.
10
What is the remainder when (-37)/((-5)/(5 - -200)) is divided by 22?
21
Let u = -22 + 71. Suppose u + 11 = k. Let z = k - 59. What is the remainder when 2 is divided by z?
0
Suppose -6*o + 2394 = 2376. Suppose 0 = -o*h - 165 + 462. Calculate the remainder when h is divided by 12.
3
Suppose -9*l = 72, 5*t + 47*l = 44*l + 51. What is the remainder when (2/4)/(2/1436) is divided by t?
14
Let w(b) = 57*b + 70. Let j be w(3). Let a = -229 + j. What is the remainder when 54 is divided by a?
6
Let b(u) = -u**2 - 64*u - 17. Calculate the remainder when b(-24) is divided by 105.
103
Let o(b) = -3*b + 27. Let y be o(6). Let z(m) = m**2 + 4*m + 8. What is the remainder when z(y) is divided by 34 - ((-4)/2 - -4)?
29
Suppose -11*a - 5075 = 5298. Let t = -917 - a. Suppose 56 = 3*b + b. Calculate the remainder when t is divided by b.
12
Suppose -71 = -0*o - o. Calculate the remainder when o is divided by 12 - ((-9 - -1) + 11).
8
Let n = -793 - -1190. Calculate the remainder when n is divided by 201.
196
Suppose 4*l - 183*n - 3118 = -185*n, 3106 = 4*l - 2*n. What is the remainder when l is divided by 162?
130
Let w = -30 - -29. Let y be w + 12/15 + (-3080)/(-25). Suppose 4*s = 3*d + 181, y - 25 = 2*s - 4*d. Calculate the remainder when s is divided by 23.
20
Let q = 31 + -34. Let p be (3 + -2)/(q + 0 + 4). What is the remainder when 12/(-8)*p + 114/4 is divided by 6?
3
Let u(j) = 3*j**2 - 6*j - 95. Calculate the remainder when 332 is divided by u(10).
42
Suppose 38*r = 2*k + 33*r - 211, 3*k + 4*r - 328 = 0. Calculate the remainder when 517 is divided by k.
85
Let d(b) = -b**3 - 142*b**2 + 287*b - 140. Calculate the remainder when 175 is divided by d(-144).
3
Let w(u) = -12*u - 221. Let r(v) = -58*v - 427. Let q be r(-7). What is the remainder when 557 is divided by w(q)?
30
Let l(d) = 32*d - 31. Let m be l(-7). Let g = m + 276. Calculate the remainder when g is divided by 7.
0
Let f be (-165)/9 + (-1)/(-3). Let g = -18 - f. Suppose 6 = 3*m - g*m. Calculate the remainder when m is divided by 2.
0
Calculate the remainder when 96/192 + 166/4 is divided by 40.
2
Let w = -2453 + 2502. Calculate the remainder when 483 is divided by w.
42
What is the remainder when 2/27 + (-16664115)/(-7857) is divided by 23?
5
Suppose 30 = 3*p - 45. What is the remainder when (1/((-6)/(-8)))/((-16)/(-1368)) is divided by p?
14
Suppose -5*p + 7*z = 3*z - 26, -4*p - 2*z + 26 = 0. Suppose 0 = 5*o, 3*i + o + 2*o - p = 0. What is the remainder when 10 is divided by i?
0
Suppose -t = a - 126, 45 = 34*t - 29*t. What is the remainder when 1190 is divided by a?
20
Suppose 228*w = 207*w + 441. What is the remainder when (225/6)/((-6)/(-8)) is divided by w?
8
Suppose 2*s - 7881 = -74*s + 6635. Calculate the remainder when s is divided by 92.
7
Let z(y) = 6*y + 900. Calculate the remainder when 3048 is divided by z(-116).
192
Suppose 56*f - 61*f - 2*k + 60 = 0, f + 5*k = 35. Suppose f*y - 2*y - 2944 = 0. Calculate the remainder when y is divided by 10.
8
Suppose -5*c - p - 584 = -6*c, 5*p + 576 = c. Suppose 6*o - 176 = 15*t - 10*t, -3*o + 101 = 4*t. Calculate the remainder when c is divided by o.
28
Suppose -3*v + 7 = -2. Suppose 2*t - 124 = 3*u, -v*t - 60 = -4*t + 2*u. Let s = t - 56. What is the remainder when 57 is divided by s?
9
Suppose -2*a - g = -5*a - 179, 5*a + 304 = -4*g. Let o = a + 36. Calculate the remainder when 40 is divided by o/(-18)*(-6)/4 + 11.
4
Calculate the remainder when 148/(-10)*(-9125)/730 is divided by 49.
38
Let k(s) = -4159*s + 12601. Let b = 122 + -70. What is the remainder when k(3) is divided by b?
20
Let m = 3237 - 3013. Calculate the remainder when 452 is divided by m.
4
Suppose 164*p - 105075 + 30947 = 0. Calculate the remainder when p is divided by 104.
36
Suppose 4*b = 2 + 30. Suppose -n + h = -14, -h - 71 = 4*n - 72. Calculate the remainder when b is divided by n.
2
Let h = -69 - -123. Let r be 2/3 - ((-64)/12 - -4). What is the remainder when h is divided by (-6)/(-1) + 3 + 1*r?
10
Suppose -3*q - 5 = 10. Let a be 13/q + 3 + (-68)/20. What is the remainder when (a/8)/(72/2256)*-12 is divided by 18?
15
Suppose 33*h - 9 = 30*h. Suppose -8 = 2*z, 3*g + h*z - 107 = 8*z. What is the remainder when 115 is divided by g?
28
Let s(f) be the second derivative of 5*f**4/12 + 4*f**3/3 - 23*f**2/2 - 222*f. What is the remainder when s(2) is divided by 9?
4
Suppose -3*s + 90 = -5*u + 2, -5*u - 5*s - 120 = 0. Let l be ((-1)/4 + u/48)*-6. Suppose -82 = -l*q + 2*q. What is the remainder when 203 is divided by q?
39
Suppose 94*a - 81 = 4*j + 91*a, 87 = -4*j - 3*a. Let z(q) = -3*q**2 - 4*q + 4. Let k be z(-4). Let p = j - k. What is the remainder when 16 is divided by p?
2
Let c = 26 + -26. Let b be (c + 5/(40/(-12)))*-2. Suppose b*i = -i + 1008. Calculate the remainder when i is divided by 51.
48
Suppose -w + 6 = -3. Let a = w - -29. Let d = -42143 + 42156. Calculate the remainder when a is divided by d.
12
Let a = 13833 + -2219. What is the remainder when a is divided by 37?
33
Suppose 8*q + 250 = -6. Let y = 76 - q. What is the remainder when y is divided by 10?
8
Let f = -13438 + 13722. Calculate the remainder when 1088 is divided by f.
236
Let k be -24*(-12)/112*(1 - -6). Suppose 0 = 22*c - k*c - 32. Calculate the remainder when 36 is divided by c.
4
Let w(r) = 696*r + 23. What is the remainder when w(1) is divided by 16?
15
Let a(p) = p**3 + 7*p**2 + 4*p - 5. Let c be 7/(-2) - 3/6. Suppose -182 = -4*s - 5*l, -5*s + 44 = 4*l - 197. Calculate the remainder when s is divided by a(c).
26
Suppose -5*u - 2*i = -601, 3*u - 209 = 3*i + 139. Calculate the remainder when 543 is divided by u.
67
Let s be (-6)/(-10)*(-3)/((-21)/35). Suppose 0 = -4*w, -2*w - s = -4*o + 21. Suppose -u = o*u - 196. What is the remainder when u is divided by 15?
13
Suppose 7*d = c + 3*d - 57, 0 = 4*c - 5*d - 195. Suppose 372 = c*o - 39*o. Calculate the remainder when 119 is divided by o.
57
Let m(s) = -2*s**2 - 53*s - 84. Let v be m(-18). Suppose -3*a = 3*d - v, -4*d - 2*a - 3 = -309. What is the remainder when d is divided by 19?
3
Suppose 14*v = -4*x - 4*v + 168, -4*x - v = -100. Calculate the remainder when 524 is divided by x.
20
Suppose 2*o - 8 = -0*o - 2*f, 3*o = f + 20. Suppose -18*y + o = -19*y. Calculate the remainder when 31 is divided by 9/(-6) - (-3 + 39/y).
7
Suppose 116*c - 16 - 389 = 1103. Let q = 95 - 47. Calculate the remainder when q is divided by c.
9
Let h = -90 + 252. Let y = 1502 - 1489. What is the remainder when h is divided by y?
6
Suppose -w + 3*q = -2*w + 22, -4*w - 5*q + 109 = 0. Let i = w + -16. What is the remainder when 133 is divided by i?
13
Let w(d) = -19*d - 498. Let p = 6 - 3. Suppose p*m - m = -3*s + 64, -3*s + 29 = -5*m. Calculate the remainder when w(-28) is divided by s.
16
Let m be 7 + -4*9/12. Suppose -m*o + 2*t + 24 = -414, 0 = 4*t + 20. What is the remainder when o is divided by 9?
8
Let k(u) = -11 + 26 + 60*u + 2*u**2 + 7 + 0*u**2. What is the remainder when 193 is divided by k(-30)?
17
Let g(d) = -12*d**2 + 13*d**2 + 1 - 4*d - d. Let b(u) = -u**3 - 2*u + 6. Let v be b(0). What is the remainder when 47 is divided by g(v)?
5
Let z(y) = -6 + 405*y**2 + 18*y - 409*y**2 - 3. Let s(r) = 3*r**2 - 19*r + 9. Let x(l) = -6*s(l) - 4*z(l). What is the remainder when 54 is divided by x(20)?
10
Suppose -40*h - 360 = -130*h. What is the remainder when 459 is divided by h?
3
Suppose -57 = -3*y - 4*z + 7*z, -5*y - z = -95. Suppose y*l - 6*l - 2106 = 0. What is the remainder when l is divided by 41?
39
Suppose 217 = l - 5*s, -111 = -3*l + 3*s + 576. What is the remainder when 449 is divided by l?
217
Let q = -5081 - -5118. Calculate the remainder when 183 is divided by q.
35
Suppose -2*v + 14 = 5*h, 0 = 5*h + v - 6*v. Suppose t - 2*z - 34 = -5*z, -90 = -5*t + 5*z. What is the remainder when t is divided by (h/7 - (-574)/49) + 0?
10
Suppose a - 53*t = -48*t + 2436, 2*a - 3*t - 4844 = 0. Calculate the remainder when a is divided by 22.
18
Suppose u - 8 = 38. Calculate the remainder when (9 + 490/(-60))/((-7)/(-1470)) is divided by u.
37
Let h = -20281 - -20283. Let p = -16 + 161. Suppose h*o = -x + 73, 5*o - p - 43 = 3*x. Calculate the remainder when o is divided by 12.
1
Let a be