= q, -5*q - 5*r = -a. Calculate the remainder when 58 is divided by q.
27
Suppose -4*y = 4*y + 2*y - 1190. Let c = -41 + 82. What is the remainder when y is divided by c?
37
Let n(s) = 181*s - 148. What is the remainder when n(3) is divided by 6?
5
Let w = 1806 - 1716. What is the remainder when 806 is divided by w?
86
Suppose -160 = 5*o - 290. Let m(f) = f**3 - 10*f**2 + 9*f + 6. Calculate the remainder when o is divided by m(9).
2
Let h be 26 + (-1 - -2)/1*0. Suppose 82 = 4*x + h. Calculate the remainder when x is divided by 4.
2
Calculate the remainder when 6 + (1456/(-4))/(-4) is divided by 4.
1
Let g = -68 + 70. Suppose -5*t + 129 = 3*n, g*t - 5*n = 22 + 11. What is the remainder when 69 is divided by t?
21
Suppose h - 17 = -c - 4, 5*c - 9 = 2*h. What is the remainder when 390 is divided by h?
6
Let o = -29 + -51. Let p = -54 - o. What is the remainder when p is divided by 16?
10
Suppose -5*u = -3*u - 94. Let t = -17 + 17. Suppose t = 4*z - 5*b - u, 5*z - 2*z - 5*b = 34. Calculate the remainder when 23 is divided by z.
10
Suppose 2*l + 50 = 3*c + 12, 0 = -c - 3*l - 2. What is the remainder when 85 is divided by c?
5
Let c(x) = -x**3 + 8*x**2 - 2*x + 19. Let j be c(8). Let w = j + 9. Calculate the remainder when 33 is divided by w.
9
Let l = -219 + 242. Calculate the remainder when l is divided by 3.
2
Let f = -13 - -23. Suppose -3*p = -5*p + f. What is the remainder when (-1)/((-3)/(-18))*-3 is divided by p?
3
Let t = -2921 + 2977. Let r = 2 - 0. Suppose r*i = b + 3 - 12, 3*b + 3*i = 72. What is the remainder when t is divided by b?
18
Let b(m) = m**3 - 13*m**2 + 17*m - 1. What is the remainder when b(12) is divided by 15?
14
Let a be 3 + -8 + 133/(-7). What is the remainder when (-79 + 1)/(a/32) is divided by 35?
34
Suppose -4*q = 2*r - 14, -2*q + r = -0*r - 13. Let b(a) = 4*a - 5. What is the remainder when (0 - 1)*(-30)/q is divided by b(2)?
0
Suppose -39*z + 43*z - 328 = 0. Calculate the remainder when z is divided by ((-8)/(-12))/((-6)/(-378)).
40
Suppose -6*o + 678 + 384 = 0. Calculate the remainder when o is divided by 15.
12
Let r(a) = 3*a - 1. Let t be r(-5). Let p = t + 35. Calculate the remainder when 51 is divided by -12 + 11 + p*1.
15
Suppose 0 = -9*y + 14*y - 235. Suppose 4*i = 5*t - 175, t - 2*i = -6 + y. Calculate the remainder when t is divided by 17.
14
Calculate the remainder when 48 is divided by (13/2)/(3/2 + -1).
9
Let o(q) = -15 - 783*q - 23 + 785*q. Calculate the remainder when o(22) is divided by 4.
2
Let j = -18 - -50. Suppose -3*n + 122 = j. Let x = 14 + -3. Calculate the remainder when n is divided by x.
8
Let g = -18 - -31. Suppose 3 = 5*a - 4*a. Suppose r + a*f - 17 = 0, 2*r + 2*r = 5*f. What is the remainder when g is divided by r?
3
Let a = 24 + -4. Suppose 5*t - 143 - 346 = y, 3*t - 5*y - 289 = 0. What is the remainder when t is divided by a?
18
Let l(s) be the third derivative of s**4/6 - 13*s**3/6 + 45*s**2. Let x be -2 + 7 + (-4)/(-2). What is the remainder when 28 is divided by l(x)?
13
Suppose -h = 2*y - 26, 6*y - 64 = y - 2*h. Let o = -10 + y. Let t(f) = -2*f + 2. What is the remainder when t(-2) is divided by o?
0
Let p be ((-3)/(-6))/(((-2)/(-172))/1). Let h = 0 + p. What is the remainder when h is divided by 23?
20
Suppose 2*p - 120 = 4*s - 8*s, 3*s - 177 = -3*p. What is the remainder when 216 is divided by p?
42
Let z = 1300 + -874. What is the remainder when z is divided by 13?
10
Let m = 7 + 100. Suppose 0 = 24*q - 51*q + 486. What is the remainder when m is divided by q?
17
Suppose 374 + 148 = 18*d. Calculate the remainder when 202 is divided by d.
28
Let a = -29 + 19. Let s = 42 + a. Suppose 9 - 58 = -2*b - 3*x, 2*x - 61 = -3*b. Calculate the remainder when s is divided by b.
15
Let k = -38 - -67. What is the remainder when 86 is divided by k?
28
Suppose -7 = 4*z - 3*u + 2, 5*z = 4*u - 11. Let x be (z + (-68)/12)*3. Let n = 16 - x. What is the remainder when n is divided by 11?
9
Suppose 2*y = 3*d - 40 + 6, -4*d - 3*y + 51 = 0. What is the remainder when 118 is divided by d?
10
Let i(k) = -k**3 + 8*k**2 + 12*k - 11. Calculate the remainder when 509 is divided by i(9).
13
Let d(h) = 3*h - 18. Calculate the remainder when 42 is divided by d(11).
12
Suppose -4*d - p + 142 = -225, 4*d - 5*p = 397. Suppose 0 = -11*g + 172 + 37. Calculate the remainder when d is divided by g.
17
Calculate the remainder when 180 is divided by (-37)/(-3) - 11/(33/(-2)).
11
Suppose -4*y = -3 + 7, 549 = 5*s + y. Let v = -40 + s. What is the remainder when v is divided by 36?
34
Let w = 28 + -5. Let o(c) = c - 4. Let m be o(6). Suppose -5*n + m*n = -36. What is the remainder when w is divided by n?
11
Let l be (-3)/(3 + 3) - 246/(-4). Let y = -42 + l. What is the remainder when (1*-3)/((-2)/24) is divided by y?
17
Let x(b) = -b**2 - 38*b - 150. Calculate the remainder when x(-24) is divided by 38.
34
Let i = 2002 - 1827. What is the remainder when i is divided by 53?
16
Let m = -197 + 529. What is the remainder when m is divided by 67?
64
Suppose 2*h = 10, 0*p - 2*p + 2*h = -2. Suppose 0 = -p*w + 2*w. Suppose t + w = 4. Calculate the remainder when t is divided by 3.
1
Let y(n) = 3*n. Let f be y(4). Let x = 37 - f. Calculate the remainder when x is divided by 9.
7
Suppose -1360 = -7*k - 10*k. Calculate the remainder when k is divided by 14.
10
Let p = -129 - -203. Suppose 4*c + 2*u - p = 0, -5*c - 2*u - 3*u = -100. Calculate the remainder when 150 is divided by c.
14
Let o(t) = 9*t**2 - 6*t**2 - 4 - 12*t - 4*t**2. Calculate the remainder when o(-9) is divided by 12.
11
Let g(i) = 5*i**3 + 13*i**2 - 6*i + 20. Let l(o) = o**3 + o**2 - o. Let a(w) = g(w) - 4*l(w). Calculate the remainder when a(-9) is divided by 10.
8
Suppose -12 = -4*j, -h - 2*j - 4 = -17. What is the remainder when 258 is divided by h?
6
Suppose -8*v + 7 = -153. Suppose 8 = 3*t - 13. Calculate the remainder when v is divided by t.
6
Let k be (-510)/(-21) + (-2)/7. Let n = k + -21. Suppose 4*x - 34 = -w, 0 = n*w + w - x - 85. What is the remainder when 85 is divided by w?
19
Suppose -2*s = -1 - 23. Suppose 3*d - 18 = 2*w, 2*d - 5*w - s = -0*d. Calculate the remainder when 5 is divided by (1*3)/(6/d).
2
Suppose -3125 - 2754 = -3*j - 5*g, -3*j + 5875 = 4*g. What is the remainder when j is divided by 115?
113
Suppose 0*q - 108 = -4*q. Suppose 6*n - 2*n = -144. Let o = -29 - n. What is the remainder when q is divided by o?
6
Let u = 17 + -14. Suppose 7*h - 4*h - 4*x - 23 = 0, -3*x - 18 = -u*h. Calculate the remainder when 12 is divided by (h + 1)*(-5)/(-2).
2
Suppose -5*o = h - 5, o - 5*o - 5*h + 25 = 0. Let c = 20 - o. Calculate the remainder when c is divided by 8.
4
Let w = -802 + 1229. What is the remainder when w is divided by 39?
37
Let x = -1 - 4. Let v be (-4 + 25/5)*11. Let p = v + x. Calculate the remainder when 21 is divided by p.
3
Let c(i) = 94*i - 1157. Calculate the remainder when 259 is divided by c(13).
64
Let k = -42 + 46. Let n = k - -22. Calculate the remainder when n is divided by 14.
12
Suppose 0 = 185*b - 167*b - 54. What is the remainder when b is divided by 1/(-4) + 10/8?
0
Suppose -10 = 5*k - 10*k. Suppose -k*h - 86 + 348 = 0. What is the remainder when h is divided by 44?
43
Suppose 2*h + 26 = 8. What is the remainder when h/15 - 318/(-5) is divided by 22?
19
Suppose 3*n - 79 = -2*h, -19 = -n - 3*h - 2. Calculate the remainder when n is divided by 8.
5
Let n(f) = -35*f + 39. Calculate the remainder when n(-6) is divided by 25.
24
Let g = -20 + -18. Let o = g + 67. What is the remainder when 55 is divided by o?
26
Let n(z) = 10*z**3 + z**2 - 1. Let o = 13 + -11. Suppose -t - 76 = -o*s, -179 = -5*s - 5*t + 11. What is the remainder when s is divided by n(1)?
8
Suppose 2*i + 3*j = 496, 49*j - 980 = -4*i + 46*j. What is the remainder when i is divided by 85?
72
Let j(y) = -2*y**3 - 20*y**2 - 5*y - 13. Let l be j(-10). Suppose 95 = -32*g + l*g. Calculate the remainder when 74 is divided by g.
17
Let b = -36 + 57. Let k = -91 - b. What is the remainder when 1 + k/(-12)*3 is divided by 15?
14
Let p be 2/(-5) - (-133)/(-5). Let k = p - -48. Suppose 446 - 812 = -6*l. What is the remainder when l is divided by k?
19
Suppose -26 = -4*v + 3*h + 15, -4*v - 3*h + 47 = 0. Calculate the remainder when 195 is divided by v.
8
Let t = -483 - -615