6*a + 2924 = 37*a. Calculate the remainder when a is divided by 67.
1
Let z(v) = -3*v - 2. Let y be (-2)/(-13) - 438/(-26). What is the remainder when y + 5/(5/(-4)) is divided by z(-2)?
1
Let j(x) = x**2 + 20*x + 110. What is the remainder when j(-15) is divided by 16?
3
Suppose 166 + 212 = 2*i. What is the remainder when i is divided by 52?
33
Let a(l) = 5*l + 15*l**2 + 17*l**2 + 1 - 5*l. Calculate the remainder when a(1) is divided by 17.
16
Let b = 150 - 154. Let t = 266 + -177. What is the remainder when b/(-14) + t/7 is divided by 4?
1
Let b = -20 - -18. Let a(y) = -16*y + 3. Let s be a(b). Suppose 3*v = 5*j + 64, s + 13 = 2*v + 2*j. What is the remainder when v is divided by 9?
5
Let b be 3/((-27)/6)*-3. Suppose -5*c + 18 + 57 = g, -30 = -b*c + 5*g. Let k = 4 - -4. What is the remainder when c is divided by k?
7
Suppose -5*w + x + 285 = 2*x, -114 = -2*w + x. Let b(v) = 2*v**2 - 5*v - 3. What is the remainder when w is divided by b(-2)?
12
Suppose -17*a + 179 = -127. Let r(z) be the second derivative of z**5/5 - z**2 - 6*z. Calculate the remainder when r(2) is divided by a.
12
Let o(y) = -y**2 - 10*y - 12. Let t be o(-8). Suppose 2*h - h + t*u = 66, 0 = h - 4*u - 26. Calculate the remainder when 228 is divided by h.
44
Let g = 217 - 167. Calculate the remainder when g is divided by 13.
11
Let v be 2*1/((-4)/(-30)). Suppose -171 = -2*r + 5*y, 5*y + 0 = v. Calculate the remainder when r is divided by 24.
21
Suppose -3*c + 12*s + 23 = 11*s, -4*c = 3*s - 35. Calculate the remainder when 133 is divided by c.
5
Suppose -172 = -5*c - 4*f, c = 3*c + 5*f - 62. Suppose 2*k = i - 0*i + 24, -3*k - 3*i = -c. Calculate the remainder when k is divided by 5.
2
Suppose 15*m - 392 = 13*m. Calculate the remainder when m is divided by 18.
16
Let g = -46 - -58. Suppose 135 = 3*x - 3*h - 0*h, x + 5*h = 15. Let t = x - 19. What is the remainder when t is divided by g?
9
Suppose -2*p = -5*w + 260, -5*p + 4*p = -w + 52. What is the remainder when 306 is divided by w?
46
Let s = -189 + 208. Let d = -4 - -10. Calculate the remainder when s is divided by d.
1
Let g be 5 + 0 - 1 - 1. Suppose g*m - 5*m = -392. Calculate the remainder when m is divided by 33.
31
Let c be 2/(-3) - (-14)/21. Suppose -s + 2*s = c. Suppose 3*x - 6*x + 54 = s. What is the remainder when 51 is divided by x?
15
Suppose -15 = 2*c - 5*c, -3*c = -s + 173. What is the remainder when s is divided by 35?
13
Suppose 0 = 3*h + 3*q - 24, -4*h + q = 2*q - 20. Suppose -20 = -5*n + h*n. Calculate the remainder when n is divided by (-12)/16 + (-47)/(-4).
9
Suppose -3381 = -31*z + 10*z. Calculate the remainder when z is divided by 47.
20
Suppose 12*v - 9*v - 12 = 0. Suppose q - 19 = -v. What is the remainder when 74 is divided by q?
14
What is the remainder when (1 - 2) + 12 + -9 - -220 is divided by 55?
2
Suppose 5*o - 64 = 2*q, -3*o + 0*q + 30 = -4*q. Suppose 0 = -o*c + 514 + 186. What is the remainder when 146 is divided by c?
46
Let h be (13 + -15)*33/(-2). Suppose 4*v = s - h, -5*v = -s + 10 + 28. Suppose l - 6 - 43 = 0. What is the remainder when l is divided by s?
10
Let g be 6/(-4)*(-2 + 0). Suppose g*f - 100 = 131. Suppose -t = -6*t - 3*l + 97, -5*t + 104 = -4*l. Calculate the remainder when f is divided by t.
17
Suppose -4*k - 4 = -80. Let a = k + -10. Calculate the remainder when a is divided by (-1)/((-4)/48*3).
1
Suppose l - 6 = -l. Suppose m - 59 = d + d, -l*d + 6 = 0. Suppose 0 = -y - 4*n + 26, -21 = -2*y + 5*n + 18. What is the remainder when m is divided by y?
19
Suppose -3*q - 35 = -65. What is the remainder when 198 is divided by q?
8
Suppose 3*z = z. Suppose 6*b - 48 - 102 = z. Suppose 594 = 2*p + 4*p. What is the remainder when p is divided by b?
24
Let z be 16/(-10)*(0 + 5). What is the remainder when 201/4 - z/(-32) is divided by 13?
11
Suppose -3*t + 272 = -t. Suppose 4*u - 2*c - 174 = -42, 0 = c - 4. Calculate the remainder when t is divided by u.
31
Calculate the remainder when 142*(-8)/(-16) - -2 is divided by 31.
11
Suppose 71*i + 53*i = 1612. What is the remainder when 268 is divided by i?
8
Let u = -43 - -45. Suppose -6*t + 44 - u = 0. What is the remainder when 55 is divided by t?
6
Let h be (-9)/((-252)/1000) + 4/14. Let b be (-2)/(-4)*(-3 - -7). Let w = b + h. Calculate the remainder when w is divided by 8.
6
Let x = 351 + -345. What is the remainder when 29 is divided by x?
5
Let i be (-20)/16*(-4)/1. Suppose 0*f - i*f = 0. Suppose -h + 28 + 4 = f. What is the remainder when h is divided by 11?
10
What is the remainder when (1/(-2))/(27/(-90))*39 is divided by (-510)/(-22) - 8/44?
19
Let h(t) = 100*t**3 - 2*t**2 - 3*t + 4. Calculate the remainder when h(1) is divided by 21.
15
Let l = -44 - -56. Calculate the remainder when 754 is divided by l.
10
Suppose -b - 12 = 3*y, 4*y = 5*b + y - 30. Let i be -2*3/(b - 6). Suppose -5*k + 117 = -t, i*k - 3*t - 36 = -8*t. What is the remainder when 91 is divided by k?
22
Let h(m) = m**3 + 3*m**2 - 5*m. Let y be h(-4). Let l = 3 + y. What is the remainder when 19 is divided by l?
5
Let z = 86 - 22. Let d = z + 1. Calculate the remainder when d is divided by 14.
9
Suppose 11*b = 6*b. Suppose 5*l - 11 - 9 = b. Suppose l*p + w - 229 = 0, -5*w + 17 = p - 45. Calculate the remainder when p is divided by 29.
28
Suppose 11*f - 40 = 7*f. Calculate the remainder when 39 is divided by f.
9
Let r = 17 + -13. Suppose p + 86 = 4*k, 2*p - 4 = r*p. Let w = k + -13. Calculate the remainder when 15 is divided by w.
7
Let i = 156 + -120. Suppose -2*q - 4*d + i = -2, 0 = q + 3*d - 15. Calculate the remainder when 240 is divided by q.
24
Let v(g) = -2*g**2 - 23*g - 27. Suppose 0 = w - 0*w - 11. What is the remainder when w is divided by v(-10)?
2
Let x be 42/9 + (0 - 4/6). Suppose 0 = -2*w + 5*v + x + 14, -2*v = -w + 11. What is the remainder when 33 is divided by w?
14
Let a = -203 - -246. Calculate the remainder when 335 is divided by a.
34
What is the remainder when 4*(-12)/18*(-276)/8 is divided by 38?
16
Suppose 4*t - 5*a - 52 = 0, 0 = 4*t + a - 14 - 38. Suppose 0 = -y + t + 6. What is the remainder when 55 is divided by y?
17
Suppose -2*h + 6*h = -64. Let l = 21 + h. Suppose -52 = -2*d + 3*m + 11, l*d - 3*m = 144. Calculate the remainder when 51 is divided by d.
24
Suppose 3*s - 72 = 3*w, 2*s = -2*w + 5*w + 44. Suppose 0*f - 222 = -2*f. Calculate the remainder when f is divided by s.
27
Suppose -x + 98 = 7*h - 4*h, -4*x - 73 = -3*h. Let n = h - 18. Calculate the remainder when 23 is divided by n.
10
Let o = -122 - -75. Let v = -26 - o. Suppose -3*z + 2*z + v = 0. What is the remainder when 62 is divided by z?
20
Let j = 160 - 47. Suppose 3*v - 37 = j. What is the remainder when v is divided by 13?
11
Suppose n = 3*n + 76. Let k be n/(-3) - 12/18. Suppose 22 + k = 2*w. What is the remainder when 48 is divided by w?
14
Let y(w) = -2*w**3 - 22*w**2 + 20*w - 20. What is the remainder when 100 is divided by y(-12)?
16
Suppose 41 = 4*t - 11. Let j(q) = -2*q + 2. Let y be j(-2). What is the remainder when 448/12 - 2/y is divided by t?
11
What is the remainder when 1/(-8) - (1 + (-929)/8) is divided by 38?
1
Suppose -4*j = 2*n - 174, -7*n + 9*n + 3*j = 169. Calculate the remainder when 151 is divided by n.
74
Suppose 40*a - 32*a - 486 = -142. What is the remainder when a is divided by (1/2)/(1/30)?
13
Let h = -16 + 26. Let b = -2225 + 2228. What is the remainder when h is divided by b?
1
Suppose 9*z + 91 = 5*s, -2*s - 3*z + 29 = -14. What is the remainder when -2*((-95)/2)/1 is divided by s?
15
Let u = 16 + 52. Suppose -4*b + 44 = 2*q, 0*b + 97 = 4*q - b. What is the remainder when u is divided by q?
20
Let h(a) = 2*a - 14. Let y(z) = -z. Let k(v) = -h(v) - 5*y(v). What is the remainder when k(3) is divided by 7?
2
Let n(w) = w**3 + 5*w**2 + 5*w + 3. Let s be n(-3). Let g = s - 4. Suppose -18 = g*t - 3*t. What is the remainder when t is divided by 5?
3
Let i(s) = -s**3 - 33*s**2 + 77*s + 254. Calculate the remainder when 329 is divided by i(-35).
5
Let n = -1595 + 1633. What is the remainder when 492 is divided by n?
36
Let u(s) = 8*s + 148. Calculate the remainder when 5 is divided by u(-18).
1
Suppose -29*r + 1365 = 6*r. What is the remainder when 52 is divided by r?
13
Suppose 8*c = 6*c + 60. Let y(d) = d**2 - d**3 - 4*d**2 + 2*d + 3 + 0*d. Calculat