 be k(-15). What is the remainder when t(m) is divided by 89?
80
Let x(n) = -4*n + 22. Let d be x(5). Suppose 2*p - 88 = -5*s - p, 2*s - 48 = d*p. Calculate the remainder when 219 is divided by s.
19
Suppose 3*s - 8 = 2*s. Suppose p - 7 - s = 0. Suppose 15*n - q - 114 = 11*n, 0 = -5*n - 4*q + 111. What is the remainder when n is divided by p?
12
Let n(y) = -5 + 7 + 34*y**3 - 33*y**3 + 5*y**2 + 15 - 10*y - 6*y**2. What is the remainder when 400 is divided by n(5)?
65
Let t(r) = r**2 + 3*r + r + 3*r**2 - 2*r**2 + 8. Let u be (-11)/(-2) - 70/28. Calculate the remainder when t(u) is divided by 14.
10
Suppose -3*h = 4*x - h - 16, 0 = -h - 4. Let n(q) = q**3 - 5*q**2 + 2*q - 34. What is the remainder when 35 is divided by n(x)?
7
Suppose -3*i - 7*x + 4*x = -2883, -3*x = -i + 973. What is the remainder when i is divided by 11?
7
Let c = -16230 - -17640. What is the remainder when c is divided by 49?
38
Let a be ((-22016)/68)/(-2) + 8/68. Suppose 2*u - 4*u = 2*k - 108, 0 = 3*k + 5*u - a. What is the remainder when 177 is divided by k?
15
Suppose -58 = -3*p + p. Let d = 7538 + -7395. Calculate the remainder when d is divided by p.
27
Suppose 4*w - 1152 = -2*h, 1351 + 84 = 5*w + 5*h. Suppose -c + w = u, 0 = 2*c - 2*u + 85 - 651. Calculate the remainder when c is divided by 12.
10
Suppose -u + 10 = -s, -u - 27 = 4*s - 32. Let h(p) = -3*p**2 + 3*p**3 - 2*p**3 + 0 - p**2 - 1. Calculate the remainder when h(5) is divided by u.
6
Let u(g) = 3*g**2 - 19*g - 6. Let h be u(-4). Suppose 18*j = 16*j - 14. Let l = h + j. What is the remainder when l is divided by 23?
19
What is the remainder when (1001/(-39) + 32)/((-1)/(-90)) is divided by 28?
10
Let y = -1144 - -737. Let u = y + 499. Calculate the remainder when u is divided by 34.
24
Let k = -681 + 728. Calculate the remainder when 2*k/2 - 0 is divided by 10.
7
Let n(z) = -z**2 + 13*z - 8. Suppose 0 = -5*m - 4*j + 2 + 42, -4*m + 27 = -5*j. Calculate the remainder when n(m) is divided by 17.
15
Suppose -2*q + 2*j + 354 = 0, -8*j + 869 = 5*q - 5*j. What is the remainder when 185 is divided by q?
10
Let i = 2 + 33. Let q = 516 - 473. Calculate the remainder when q is divided by i.
8
Let f(d) = 13*d**3 - 68*d**2 + 20*d - 2. Let v be f(8). Suppose -3208 = -45*k + v. What is the remainder when k is divided by 40?
6
Let o = 98 + -48. Let k be 160/2 + 2 + -2. Suppose 4*c - k = 4*f, 4*c = -5*f + 62 - 0. What is the remainder when o is divided by c?
14
Suppose 0 = -2*h - k + 1179, 642 = h - 0*k - 7*k. Calculate the remainder when h is divided by 202.
189
Let l = 5847 - 5842. What is the remainder when 197 is divided by l?
2
Let a(v) = -v + 13. Let n be a(8). Let k be (-1)/4 + n/20. Suppose -13*t + 449 + 32 = k. What is the remainder when t is divided by 19?
18
Suppose 4*o + 0*t = -4*t + 380, 4*o = 4*t + 356. Suppose -102 - o = -d. What is the remainder when d is divided by 49?
47
Let q = 47 + -38. Let a be 24 - 3/q*3. Let k = a - -6. What is the remainder when k is divided by 6?
5
Let r = 7614 + -7435. Calculate the remainder when 562 is divided by r.
25
Suppose 0 = -8*d + 10*d - 4. Suppose -27*w = -d*w - 475. What is the remainder when w is divided by 4?
3
Let x(u) = u**3 + 2*u**2 - 4*u - 3. Let s be x(-3). Suppose s = -f + 13 - 3. Suppose -6*r = -f*r + 76. What is the remainder when r is divided by 7?
5
Let t = -141 - -217. Suppose 11*o + 1683 = -0*o. Let k = o + 169. Calculate the remainder when t is divided by k.
12
Let v(q) = 23*q**2 - 1. Let j = 26 - 24. Suppose -2*k + 43 = -21. Calculate the remainder when v(j) is divided by k.
27
Suppose -51*f = 53*f - 8502 - 27898. What is the remainder when f is divided by 84?
14
Let s = 192 - 201. What is the remainder when 5*(16 + 3*3/s) is divided by 27?
21
Let a(d) = -d**2 + 50*d + 484. Let v(i) = i**3 + 6*i**2 - 3*i. What is the remainder when v(-5) is divided by a(58)?
0
Let t be (85 - -4) + 3 + -2. Suppose -22 + t = 4*d. Suppose 4*c + 411 = 5*w, -3*c + 4*c = w - 82. What is the remainder when w is divided by d?
15
Let t(d) = d**3 + 6*d**2 - 9*d - 75. Calculate the remainder when t(7) is divided by 11.
4
Let v(u) = -55*u + 580. What is the remainder when v(9) is divided by 12?
1
Let a = 144 - 38. Suppose 121 - a = l. Calculate the remainder when 29 is divided by l.
14
Suppose 5*z - 1173312 = -71*z + 12*z. What is the remainder when z is divided by 178?
177
Suppose 221 = 3*v + u, -55 = -2*v + v - 5*u. Suppose 63 + 7 = -2*g. Let x = g - -73. What is the remainder when v is divided by x?
37
Suppose 2*x - 114 = -4*q + q, 4*x - 220 = -4*q. What is the remainder when x is divided by (14 + -80 - -26)/((-2)/1)?
11
Suppose -17*x - 198 = -18*x. What is the remainder when (-33)/x + (-458)/(-12) is divided by 20 + (1 - 3) + 2?
18
Suppose 4881 - 977 = 2*c - 5*o, -5*o - 5856 = -3*c. Calculate the remainder when c is divided by 115.
112
Suppose 0 = -686*n + 698*n - 4836. What is the remainder when n is divided by 58?
55
Suppose -n + 13 - 2 = 0. Suppose 2*f - 14 = 0, -z + 4*f + 7 + 20 = 7. What is the remainder when z is divided by n?
4
Suppose -326*z = -5*u - 327*z + 1188, -2*u + 464 = 2*z. Let r(l) = 40*l**3 - l**2 + 1. Calculate the remainder when u is divided by r(1).
39
Let j(q) = -q**2 - 19*q + 16. Let s be j(-20). Let v be -1*(0 - 1) - 304/s. Calculate the remainder when ((-6)/5)/(v/40 - 2) is divided by 10.
6
Suppose 11*f - 700 = -73. Let v = f + -41. What is the remainder when v is divided by 10?
6
Let b = 8846 - 8786. What is the remainder when 1197 is divided by b?
57
Let u be -2 + (-1 - 1)/(-1). Let d = u - -19. What is the remainder when d is divided by 3/(235/140 - (-25)/(-20))?
5
Suppose 4*a - 3*s = 44, a - 8421*s + 8418*s - 20 = 0. What is the remainder when 5830 is divided by a?
6
Suppose 3*g + 2*g - 25 = 0, -4*g = -4*f + 52. What is the remainder when 8/((-24)/153)*-4*6/24 is divided by f?
15
Suppose -19*s + 9*s + 4650 = 0. Suppose 4*m = 3*p - s, 3*m + 265 = 5*p - 510. Calculate the remainder when p is divided by 23.
17
Suppose -5*x = -2*j - 114, -3*x + 5*j + 111 = 54. What is the remainder when 35 is divided by x?
11
Let a be (-1 - -117)*(7 + -3 + -2). Suppose -131*b + 127*b = -a. What is the remainder when 288 is divided by b?
56
Suppose 0 = -6*g + 101 + 7. Let d = 35 - 12. What is the remainder when d is divided by g?
5
Let t be 2 - (-14 + 6/2). Suppose -6*q - 61 = -t. Let y = q + 89. Calculate the remainder when y is divided by 22.
15
Calculate the remainder when (-476)/(-8)*(-1420)/(-70) is divided by 19.
10
Let a = 45 - -23. Suppose f - 2*f = -a. Suppose -15*i + 74*i = 1062. What is the remainder when f is divided by i?
14
Suppose -2475 = 54*z - 39*z - 40*z. What is the remainder when 7522 is divided by z?
97
Suppose 0 = 31*f - 27*f - 772. Suppose -5*j = -3*u + 2*u - 920, -2*u = -j + f. Calculate the remainder when j is divided by 47.
42
Suppose -4*h - 5 = 5*k, 4*h = 9*k - 12*k - 3. Let v(s) be the first derivative of -13*s**2/2 - s + 7. What is the remainder when 33 is divided by v(k)?
9
Let t = -3189 - -4395. What is the remainder when t is divided by 71?
70
Suppose t - 3*h = -96 + 202, 0 = -h - 5. What is the remainder when 721 is divided by t?
84
Suppose 5*y + 5 = b, 8*y - 20 = -4*b + 6*y. Suppose 5*j + s - 333 = 0, -b*s = 3*j - 300 + 109. Calculate the remainder when 266 is divided by j.
65
Suppose -z - 13 = -9, -9*y + 5*z + 1469 = 0. What is the remainder when y is divided by 1?
0
Let l = 23 + -20. Suppose 5*n + 17 = -l*m, -4*m - 4*n = n + 16. Suppose y - v + m = 0, -20 + 55 = 5*y + 3*v. Calculate the remainder when y is divided by 2.
0
Let t(n) = 4*n**2 - 3*n - 6. Let l(h) = 2*h**3 + 23*h**2 - 15*h - 28. Let k be l(-12). Suppose -24 = k*w - 176. What is the remainder when t(7) is divided by w?
17
Let m(j) = 2*j**2 - 56*j - 109. What is the remainder when m(-2) is divided by 3?
2
Let f(y) = -25*y - 4. Suppose 2*n + 6 = -q + 80, -n + 2*q + 42 = 0. What is the remainder when n is divided by f(-1)?
17
Let c = 476 + -261. Let m = c + -126. Calculate the remainder when m is divided by 34.
21
Suppose -2*n + 6159 = 5*w, -4*w + 966 = n - 2112. What is the remainder when n is divided by 24?
10
Let h = 44367 - 28115. What is the remainder when h is divided by 9?
7
Calculate the remainder when 3504 is divided by 62678/627 + (-6)/(-171).
4
Let k(m) = m**3 - 4*m**2 