the remainder when 55 is divided by a.
27
Suppose 5*k + 5*j - 1086 = 4, 4*k - j - 847 = 0. Calculate the remainder when k is divided by 54.
51
Calculate the remainder when 333 is divided by 1*((-17)/4 + 0)*-20.
78
Suppose -2*v = -4*v. Suppose v = -m + 4*m. Suppose -140 = -m*d - 5*d. What is the remainder when d is divided by 15?
13
Suppose -4*q + 2*b = -38, 6 = q + 2*b - 6*b. What is the remainder when 37 is divided by q?
7
Suppose -4*p - 10 = -114. Let m = 24 + -21. Suppose m*k + 0*j = 2*j + 303, 4*k - 397 = 5*j. Calculate the remainder when k is divided by p.
25
Let s = 1186 + -1110. What is the remainder when s is divided by 21?
13
Let v = 9 - 12. Let q(n) = 5*n**2 + 4*n + 2. Let s(k) = -2*k + 6. Calculate the remainder when q(v) is divided by s(-3).
11
Let d = -11 + 20. Suppose -4*g - 2*y + 7 = -21, -4 = -2*y. Calculate the remainder when d is divided by g.
3
Let z(p) = -12*p + 226. Suppose 0 = -2*o - o + a + 79, 5*a - 118 = -4*o. What is the remainder when o is divided by z(18)?
7
Suppose 78*f + 1908 = 84*f. Calculate the remainder when f is divided by 20.
18
Suppose 3*a - 2325 = -3*m, 6*a - 9*a + 5*m = -2365. Calculate the remainder when a is divided by 87.
84
Let u = -218 + 250. Let a(s) = 319*s**3 - s. Calculate the remainder when a(1) is divided by u.
30
Let r = 379 + -364. Calculate the remainder when 25 is divided by r.
10
What is the remainder when (-20)/(-5) + (202 + -4 - -5) is divided by 24?
15
Suppose -36*b + 1108 = -32*b. What is the remainder when b is divided by 37?
18
Suppose 59 = 3*m - 31. Suppose -4*h + 3*s = -55, -5*s = 88 - 103. Calculate the remainder when m is divided by h.
14
Let u = 376 - 355. Calculate the remainder when 99 is divided by u.
15
Let f be -1*(-1)/1 + -10. Let g(n) = 8*n - 5*n + 18 + 0*n - 2*n. What is the remainder when 17 is divided by g(f)?
8
Suppose 4*b + 413 - 1069 = -4*m, -323 = -2*b + 3*m. What is the remainder when b is divided by 33?
31
Suppose -196 = -4*g + 156. Let f be (-28)/98 + 44/7. Calculate the remainder when 28/21 + g/f is divided by 10.
6
Let y = 167 + -119. Suppose 0 = 5*c + 2*u - 30, -2*u = -5*c + 2*u. Suppose 4 = c*f - y. Calculate the remainder when 51 is divided by f.
12
Suppose -2*r + 7 = 3. Suppose u - 234 = -4*c, 2*c - r*u = u + 110. Calculate the remainder when c is divided by 31.
27
Let h(g) = -g**3 + 9*g**2 - 8*g + 12. Let z = 189 + -185. Calculate the remainder when h(8) is divided by z.
0
Let g(t) = -7*t**2 + 56*t - 8. Calculate the remainder when g(7) is divided by 15.
11
Let w(q) = 2*q - 3. Let j(a) = 4*a - 6. Let i(u) = 6*j(u) - 11*w(u). Calculate the remainder when 73 is divided by i(11).
16
Suppose 0 = 4*v - 8, 10 = b - 5*v - 5. Calculate the remainder when 74 is divided by b.
24
Let q = 273 - 164. Let u = -25 + 62. Calculate the remainder when q is divided by u.
35
Suppose 6*d - 5420 = -14*d. Let p = 281 - d. Let h = -52 - -81. What is the remainder when h is divided by p?
9
Let m = 447 + -428. What is the remainder when 88 is divided by m?
12
Let x(w) = -4*w**3 + 6*w**2 + 10*w - 1. Let j(n) = -n**3 + n - 1. Let f(l) = -5*j(l) + x(l). What is the remainder when f(-3) is divided by 7?
2
Suppose 0 = 2*g - 3*t - 32, 19 = 4*g + 4*t - 5. Let s(c) = -2*c**3 + 21*c**2 - 8*c - 3. What is the remainder when 184 is divided by s(g)?
14
Let b(c) = c - 19. Let t be b(9). Let q(g) = -g**2 - 13*g + 16. Calculate the remainder when q(t) is divided by 8.
6
Suppose -635 = 2*l + 7. Calculate the remainder when 124 is divided by l/(-15) + (-10)/25.
19
Suppose -10*j + 2*j = 88. Let d = 10 - j. What is the remainder when 54 is divided by d?
12
Let d = 396 - 175. Calculate the remainder when d is divided by 56.
53
Let c(o) be the first derivative of -4*o**2 - 2*o - 8. Let m be c(-1). Suppose -m*g = -211 + 37. Calculate the remainder when g is divided by 16.
13
Calculate the remainder when (-423)/(-12)*72/27 is divided by 12.
10
Let g(k) = -7*k + 8*k**2 + 0*k + 5*k. Let j(o) = o**2 + 10*o + 12. Calculate the remainder when g(-1) is divided by j(-9).
1
Let y be (0/(-3 + 4))/(3 - 5). Suppose y = -3*i + w + 64, -i - 106 = -6*i + 2*w. Calculate the remainder when 42 is divided by i.
20
Let y = 342 - 219. Let s = 128 - y. What is the remainder when 13 is divided by s?
3
Let t(b) = 14*b + 3. Let f be t(5). Suppose y - 401 = -5*z, -3*z - 2*y + f = -2*z. Calculate the remainder when z is divided by 110/8 - (-5)/20.
11
Suppose -423*t + 74 = -421*t. Calculate the remainder when 106 is divided by t.
32
Let o(y) = -y**3 - 5*y**2 - 6*y - 6. Let v be o(-4). Let h(n) = 11*n**v - 2*n + 13*n**2 - 2 - 23*n**2. What is the remainder when 23 is divided by h(-3)?
10
Suppose -18 = 3*r - 0*r. Let l = r - -17. Let y(i) = -722*i + 1448. Calculate the remainder when l is divided by y(2).
3
Suppose 150*f - 4 = 149*f. Suppose -59 = f*h - 99. What is the remainder when 99 is divided by h?
9
Suppose 6*n + 111 - 159 = 0. What is the remainder when 21 is divided by n?
5
Let h(f) = -f**2 - f - 6. Let b(c) = c + 1. Let y(n) = -4*b(n) - h(n). Suppose 7*p + 129 = 150. Calculate the remainder when 4 is divided by y(p).
0
Suppose 270 + 28 = 2*m. Suppose 0 = -4*y + 4*s - 261 + 69, -2*s + m = -3*y. Let j = 116 - y. Calculate the remainder when j is divided by 43.
40
Let r(v) = v**3 + 2*v**2 - 3. Let h be r(-2). Let n = 15 + h. What is the remainder when n is divided by 5?
2
Let s = 2048 - 2030. What is the remainder when 394 is divided by s?
16
Let h = -144 - -149. Suppose -27 = -p - 3*n, -n = -0*p + h*p - 163. Let i = 25 + -8. Calculate the remainder when p is divided by i.
16
Let y = -23 - -38. Suppose -z + 31 + y = 0. Let k = -58 - -82. What is the remainder when z is divided by k?
22
Let v(l) = 8 - 2 + 10*l + 0*l**3 + l**3 + 11*l**2 - 2. Let f be v(-10). Suppose f*z - 61 = 47. What is the remainder when z is divided by 7?
6
Calculate the remainder when (-7)/(-7)*(162 + -3) is divided by 23.
21
Suppose 0 = -w + 20 + 47. Let i = -2109 - -2126. Calculate the remainder when w is divided by i.
16
Suppose -3*j - 9*w = -6*w + 138, 5*w - 130 = 3*j. Let l be 2/2*(-1 + 2). Calculate the remainder when 44 is divided by l/(-4 - 183/j).
14
Let o(g) = g**3 - 5*g**2 - 2*g + 5. Let x(z) = -z**3 - 11*z**2 + 3*z + 11. Let l be x(-11). What is the remainder when o(6) is divided by (7/14)/((-1)/l)?
7
Let p = -48 - -52. Suppose 0 = 2*d - p*d + 234. What is the remainder when d is divided by 30?
27
Let m = 322 - 315. What is the remainder when 97 is divided by m?
6
What is the remainder when (10434/(-370))/(6/(-70)) is divided by 15?
14
Let x(q) = q - 7. Let o be 6/(-18) - (-32)/6. Let f be x(o). What is the remainder when (f/(-4))/((-5)/(-560)) is divided by 19?
18
Let j be 5/(10/26) - -2. Let f = -5 + j. What is the remainder when f is divided by (-6 - -5)*6/(-2)?
1
Let b(k) = 2*k**2 - 4*k - 23. Let s = 6 - 13. Calculate the remainder when b(s) is divided by 26.
25
Suppose 17*v - 2*v - 375 = 0. Calculate the remainder when 233 is divided by v.
8
Let g = 6 - 13. What is the remainder when 26 is divided by g*(1 - -1 - 1)*-1?
5
Let l(z) = z - 10. Let p be l(-8). Let t = 31 + p. What is the remainder when t is divided by 7?
6
Suppose i + 3 = 0, -6*j + 64 = -j + 2*i. Calculate the remainder when 48 is divided by j.
6
Let c = 2 - -2. Let q(y) = 104*y + 330. What is the remainder when q(-3) is divided by c?
2
Calculate the remainder when 371 is divided by 74*(-10)/(-20) + 11 + -3.
11
What is the remainder when (-1 - 5)/((-396)/330) is divided by ((-6)/10)/((-2)/10)?
2
Suppose 2*j + 0 + 6 = 0. Let o be (j - (-1 - 1)) + -7. What is the remainder when 29 is divided by o*(-1 - -1 - 2)?
13
Suppose 0 = -12*y + 368 - 32. Suppose -y*i = -23*i - 85. What is the remainder when 49 is divided by i?
15
Suppose 0 = -d - 4*l + 2, 11*l + 10 = 5*d + 6*l. What is the remainder when 1/(44/14 - 3) is divided by d?
1
Let i(x) = x - 1. Let d(p) = -7*p + 20. Let v(q) = -2*d(q) - 18*i(q). Calculate the remainder when v(-11) is divided by 12.
10
Suppose -5*x + 19 = 4*g, -81*g + 26 = -77*g - 2*x. Suppose -u - 112 = -5*u - 5*l, u = 2*l + 15. Calculate the remainder when u is divided by g.
5
Let w be 3/(-6) + (-19)/(-2). Calculate the remainder when 75/w*(1 - -2) is divided by 3*1 + (-1 - -5).
4
Suppose 7*d = 2*d + 15. Suppose 2*m = -4*x + 4*m + 82, 3*x - d*m = 66. Calcula