 2674 = 4*a. Suppose -5*r - 5*n = -a, -r - 3*n - 2*n + 67 = 0. Calculate the remainder when r is divided by 24.
20
Let z = -2563 - -2579. Calculate the remainder when 122 is divided by z.
10
Let p(a) = -a**2 - 22*a - 21. Let v = 80 - 40. Suppose 54*x = 59*x + v. What is the remainder when p(x) is divided by 19?
15
Let u = 662 + -655. What is the remainder when 1/(u/(-693)*-9) is divided by 4?
3
Let j = -8467 + 8475. Calculate the remainder when 1843 is divided by j.
3
Let f = -3406 - -21830. Calculate the remainder when f is divided by 335.
334
Suppose -3*r + 18 = -15. Let o be 2/r + ((-3921)/(-33) - 5). Let c = o - 26. Calculate the remainder when c is divided by 19.
12
Suppose -3*r = -7*r + 56. Suppose 18*q = r*q + 4. Let a = q + 34. What is the remainder when a is divided by 9?
8
Suppose -25*t - 28458 = -178*t. Calculate the remainder when t is divided by 140.
46
Let f(b) = b**2 - 30*b + 28. Let m be f(29). Suppose -z = 5*y + 12, -2 = -6*z + 7*z. What is the remainder when 1 - y - (m - 3 - 40) is divided by 12?
11
Let o = -184 + 209. Suppose 6*v - v - 33 = -y, 3*v = 2*y - 105. Calculate the remainder when y is divided by o.
23
Suppose 4*g - 22 = 16*i - 21*i, -4*i + 3*g - 1 = 0. Calculate the remainder when 89 is divided by i.
1
Suppose 5*t - 16 = -3*k, -k - 4*k - 15 = 0. Let a = 10041 + -10028. What is the remainder when 90/4 - t/10 is divided by a?
9
Suppose -5*t + 2*x + 10 = -3*x, -4*t + 2*x = -12. Let k(h) = -2*h**3 + 7*h**2 + 6*h - 4. What is the remainder when 22 is divided by k(t)?
2
Suppose -3*u + 5*u = -2*o + 34, -9 = -2*o + 3*u. Calculate the remainder when (6/o - (-1)/2)*173 is divided by 16.
13
Let v(y) = -18*y**2 + 10*y - 16. Let j be v(3). Let c = -144 - j. Suppose c*p - 180 = g, 2*g - 180 = -4*p - 0*g. What is the remainder when p is divided by 4?
1
Calculate the remainder when 203 is divided by (56/(-98) - 694/(-14)) + -8.
39
Suppose 1026 - 91 = 17*f. Suppose -163 = -d + 3*m, 3*m + 9 = -0*m. What is the remainder when d is divided by f?
44
Suppose 3*r + 3231 = 12*r. Suppose 134 = 3*o + r. Let a = o - -82. Calculate the remainder when a is divided by 7.
0
What is the remainder when 353 is divided by (212 + -207)*109/5?
26
Let q = 35 + -32. Suppose 8*u - w + 16 = 5*u, 3*w - 24 = q*u. Calculate the remainder when 24 is divided by (-288)/(-21) - u/14.
10
Suppose -3*y = -24, 17*v - 13*v = 5*y + 960. Calculate the remainder when 293 is divided by v.
43
Let n = 770 + -474. Suppose -4*v - 2*t + n = 0, v + 0*t - t - 80 = 0. What is the remainder when v is divided by 26?
24
Let x be 6/((24/14)/6). Suppose k - 21 - x = 0. Calculate the remainder when 68 is divided by k.
26
Suppose 5*h = u + 1329, 0 = 10*h - 6*h - 5*u - 1038. What is the remainder when h is divided by 109?
49
Suppose 0 = -37*d + 55839 + 26523. What is the remainder when d is divided by 18?
12
Suppose -5*k = 12*k - 7905. Suppose 4*g + g = -k. Let l = -87 - g. What is the remainder when 26 is divided by l?
2
Let h = 13 - 4. What is the remainder when -8*294/(-560)*-4*15/(-6) is divided by h?
6
Let p = -138 - -132. Calculate the remainder when (1 + -2)/(1/(-52)) is divided by p*((-45)/(-10))/(-1).
25
Let x(h) = h**3 + 56*h**2 + 256*h + 67. Calculate the remainder when 4637 is divided by x(-51).
13
Suppose -3*o - 3*b = -7*o + 320, 0 = 4*o + 4*b - 348. Calculate the remainder when o is divided by 6/(-9)*(-36 - (6 + -9)).
17
Let s(y) = -2*y**3 - 6*y**2 + 10*y - 84. Let q(h) = 3*h**3 + 12*h**2 - 19*h + 167. Let o(w) = 3*q(w) + 5*s(w). What is the remainder when o(6) is divided by 18?
3
Let r be 12/(-18) + (-34)/(-6). Suppose 0 = -3*w - b + 13, -5*b + 8 = w - r*w. Suppose 22 = -w*m + 97. What is the remainder when m is divided by 7?
4
Suppose 12 + 8 = -4*w, 4*m - w = 21. Calculate the remainder when 6/7*210/(-3)*(-1228)/2456 is divided by m.
2
Let q(j) = 7*j**2 - 25*j - 44. Let l = -516 - -576. Calculate the remainder when l is divided by q(-2).
26
Let r = 510 + -299. Suppose o + 4*m - 286 = 0, 0 = o - 4*m - 51 - r. Let w = o + -182. What is the remainder when w is divided by 31?
30
Let r = -45 + 84. Suppose -4*h - 300 = 4*z, 0 = 2*z - 6 - 4. Let k = h + 101. What is the remainder when r is divided by k?
18
What is the remainder when 554 is divided by 24/30*((-676)/(-8) + 3)?
64
Let m(k) = -k**2 + 9*k - 5. Let l(d) = 8*d**3 - 166*d**2 - 52*d + 299. What is the remainder when l(21) is divided by m(6)?
11
Suppose 167*f - 175*f = -5808. Calculate the remainder when f is divided by -129*(-7)/105 - 4/(-10).
6
Suppose 6*i - 165 - 9 = 0. Let m = i + 36. What is the remainder when m is divided by (-3 + 5)*17/2?
14
Let v(x) = -x**3 - 4*x**2 + 177. Calculate the remainder when v(0) is divided by 173.
4
Calculate the remainder when (-4)/((-20)/(-5))*0 - -2356 is divided by 9.
7
Let c(t) = t**3 - 174*t**2 + 1176*t + 181. What is the remainder when c(167) is divided by 21?
6
Let g(j) = -5*j**3 + 11*j**2 - 19*j + 4. Let i be g(2). What is the remainder when 118 is divided by i/(-45) - (0 - (-248)/(-6))?
34
Let v(u) = -108*u**3 - 2*u**2 + 2*u. Let t be v(1). Let o = t - -154. Suppose -o*i = -47*i + 6. What is the remainder when 15 is divided by i?
3
Let q(i) = -i**3 + 18*i**2 + 17*i - 265. Calculate the remainder when 3443 is divided by q(18).
40
Calculate the remainder when 1340 is divided by (-36)/(-16)*(-68)/51 - (-447)/1.
8
Suppose -3*r - 520 = -z, 4*z - 735 = 5*r + 1359. Let l = 105 - 74. What is the remainder when z is divided by l?
30
Let i = -9256 + 10685. Calculate the remainder when i is divided by 160.
149
What is the remainder when -4415*(21 + -13 + -9) is divided by 12?
11
Suppose -125*q = -199633 + 67508. Calculate the remainder when 1068 is divided by q.
11
Suppose 0 = 5*b - 5*d - 15, -8 = 10*d - 14*d. Suppose z - 167 = -b*x - 52, -3*x - 5*z = -69. Calculate the remainder when 36 is divided by x.
13
Suppose -246 = -4*u + f, -u + 304 = 4*u - 3*f. Let t(k) = -k**3 - k + 50. Let s be t(0). Let l = u - s. What is the remainder when 43 is divided by l?
7
Suppose 0 = 3*p + 5*j - 3927, 167*p = 168*p - j - 1293. Calculate the remainder when p is divided by 21.
18
Let j = 184 - 185. Calculate the remainder when 76*(-3)/(3*j/1) is divided by 13.
11
Let t = 1413 - 1305. Let d = 23 - 16. What is the remainder when t is divided by d?
3
Suppose 0 = -3*a - 15, 0*x + 2*x - 4*a - 48 = 0. Suppose -x + 1 = -3*u - 4*d, d - 1 = -3*u. Let c = 20 - u. Calculate the remainder when c is divided by 4.
1
Let z = 512 - 37. Let s = -371 + z. What is the remainder when s is divided by 16?
8
Suppose -2*n = -c + 28, -3*c + 7*n - 3*n = -80. Suppose -c*x + 102 = -66. Calculate the remainder when 9 is divided by x.
2
Let y be 40/(-70) + (102/(-14))/3. Let h(p) = 10*p**2 - 6*p - 14. Calculate the remainder when h(-2) is divided by (y/(-6)*-10 - -1)*-5.
18
Let m(w) = 41*w - 104. Let s be m(3). Suppose 38 = 3*j + n - s, n - 3 = 0. What is the remainder when j is divided by 4?
2
Suppose -2*d + 27*d - 450 = 0. Let g = 24 - d. Calculate the remainder when 29 is divided by g.
5
Let t = 112 - 100. Let j be (0/(3/(-3)))/(11 - t). Suppose -2*w + 2*l + 142 = j, 4*w = 2*l - 68 + 362. What is the remainder when w is divided by 13?
11
Calculate the remainder when (-5 + 0)*(-13)/((-1755)/216) + 947 is divided by 114.
27
Suppose -42*s = -s - 257*s + 157032. Calculate the remainder when s is divided by 212.
91
Let q be (6/(-12))/((-1)/1094). Suppose k = -2*d + 7*d + 189, 0 = 3*k + 5*d - q. What is the remainder when k is divided by 31?
29
Let p(t) be the second derivative of -t**5/20 - 19*t**4/12 - 10*t**3/3 - 33*t**2/2 - 2*t - 47. Calculate the remainder when 17 is divided by p(-18).
2
Let t = 174 + -182. Calculate the remainder when -44*2/t*1 is divided by 10.
1
Suppose -6693 = -59*y + 1744. What is the remainder when y is divided by 46?
5
Let b = 3 - -22. Let g(u) = u**3 - u**2 + u + 71. Suppose -4*i = -9*i. What is the remainder when g(i) is divided by b?
21
Suppose 2224 = 3*s + 5*s. Suppose -s = 6*o - 824. What is the remainder when o is divided by 24?
19
Suppose -135 = -4*x + 5*y, -x + 4*y - 8*y + 18 = 0. Let d = x - 16. Suppose 41 + d = 5*m. Calculate the remainder when m is divided by 2.
1
Let d(o) = -8*o + 903. What is the remainder when d(0) is divided by 48?
39
Calculate the remainder when 45 is divided by (4 - 2)