71 - v. Calculate the remainder when a is divided by 12.
8
Suppose 2*k + 2*o = 888, 3*o - 20 = -2*o. What is the remainder when 41 is divided by k/30 - 1/(-3)?
11
What is the remainder when 99260/125 - (-14)/(-175) is divided by 53?
52
Calculate the remainder when 12 is divided by (58 + -64)*(-3)/2.
3
Let r be 3/(-2) + 29/2. What is the remainder when 219 is divided by (-18)/(-117) - (958/r)/(-2)?
34
Suppose -102 = 4*w + 22. Let d = w - -57. Suppose -3*b + v + 0*v + 25 = 0, -2*b + 3*v + d = 0. Calculate the remainder when 26 is divided by b.
5
Let f = -86 + 99. Let u(v) = 289*v - 119. Let l(m) = -12*m + 5. Let j(h) = -119*l(h) - 5*u(h). Calculate the remainder when j(-3) is divided by f.
12
Let w(l) = -4*l - 48. Calculate the remainder when 13 is divided by w(-14).
5
Let b = -224 + 242. What is the remainder when b is divided by 10?
8
Let p be 195/21 - (-2)/(-7). Suppose -11*k + p*k = -36. Calculate the remainder when 32 is divided by k.
14
Suppose -10*m + 447 - 97 = 0. Suppose m = 2*j - 31. What is the remainder when j is divided by 12?
9
Let p = 1289 + -1235. Calculate the remainder when p is divided by 17.
3
Let j(r) = -15*r - 10. Calculate the remainder when j(-4) is divided by 12.
2
Suppose 461*q = 455*q + 2142. What is the remainder when q is divided by 40?
37
Suppose -28*r + 108 = -19*r. Suppose -44*g - r = -48*g. Let h = -7 - -16. What is the remainder when h is divided by g?
0
Let w be (2/2 + -1)/(-1). Suppose 2*i + 8 = -f - w*i, 10 = -2*i. Suppose -v - 6*q + f*q = -24, v - 39 = q. What is the remainder when v is divided by 13?
10
Suppose 4*n + 92*v - 97*v - 116 = 0, 4*v + 29 = n. Calculate the remainder when 286 is divided by n.
25
Let p(a) = 122*a**2 - 23*a. Calculate the remainder when p(1) is divided by (4 - (-4)/(-2)) + 32.
31
Suppose -2*y = 5*m - 335, 3*m + 18*y - 201 = 17*y. Calculate the remainder when 599 is divided by m.
63
Let w = 5 - 1. Suppose 0 = -3*n + 9, -4*f + 72 + 28 = w*n. Calculate the remainder when 86 is divided by f.
20
Let y = 35 + -26. Let i(g) = 4*g - 7. Suppose 0 = -6*h + 2*h + 32. What is the remainder when i(y) is divided by h?
5
Let k = -22 + 224. What is the remainder when k is divided by 17?
15
Let g = 6 - -13. Suppose 20*s = -309 + 1769. What is the remainder when s is divided by g?
16
Suppose 4 = 4*p - 4, -4*v = 3*p - 106. Suppose 46 = -5*f + 6*f. What is the remainder when f is divided by v?
21
Suppose 0 = 384*s - 383*s - 154. Calculate the remainder when s is divided by 47.
13
Let n(v) = 40*v**3 + 2*v**2 + 2*v - 3. Let m be (3/(-2))/((-20)/8 - -1). Calculate the remainder when n(m) is divided by 15.
11
Suppose 0*f - 3*f + 138 = 0. Suppose -4*b + 576 = -b. Suppose 0 = -7*p - 24 + b. Calculate the remainder when f is divided by p.
22
Let h = 2 - -79. Suppose -b - h = -4*b. What is the remainder when 106 is divided by b?
25
Let v = 3 - -7. Calculate the remainder when 4/10 + (-3)/((-75)/715) is divided by v.
9
Suppose 7 = 3*l - 5, 5*n + 6 = -l. What is the remainder when 4 + 3 + -4 - (-25 - -8) is divided by (n/6)/((-2)/66)?
9
Suppose 2*t + q = 701, -2*q - 10 = -20. What is the remainder when t is divided by 88?
84
What is the remainder when 77 is divided by ((-19)/((-665)/168))/(2/5)?
5
Suppose 4*b - 344 = -4*h - 40, -383 = -5*h - 4*b. What is the remainder when h is divided by 10?
9
Suppose 3*u - 6 = a, 0 = -0*u + 3*u - 6. Suppose -5*w + 2*w + 132 = a. Suppose 0 = -4*i + 20 + 16. Calculate the remainder when w is divided by i.
8
Suppose 0 = -4*y - 4*t + 204, 3*y - 4*t - 161 + 43 = 0. What is the remainder when 182 is divided by y?
44
Let t be (184/(-16))/(1/2). Let i = 25 + t. Suppose 69 = i*b + b. What is the remainder when 68 is divided by b?
22
Let o(c) = c**2 - 6*c - 6. Let s be o(6). Let u(d) = d**3 + 7*d**2 + 5*d + 12. What is the remainder when 53 is divided by u(s)?
17
Suppose x + 14*i - 14 = 13*i, -29 = -2*x - 3*i. Calculate the remainder when 127 is divided by x.
10
Let m(d) = -d**2 - 4*d + 7. Let i be m(-5). Suppose -10 = 5*o, i*y + 2*o + 2*o = 52. What is the remainder when y is divided by 22/3 - 16/(-24)?
6
Suppose 5*k = 25, 0 = m + 3*k - 41 + 13. Let y be 1 + 1 + -3 + 68. Suppose -y = -5*b + 58. What is the remainder when b is divided by m?
12
Suppose 37*s - 374 = 3807. What is the remainder when s is divided by 38?
37
Let o be -1*(3 - -4)*-1. Let k be o/3 + 3/(-9). Suppose -k*h + 0*d + 2*d + 34 = 0, 3*h + 3*d = 21. What is the remainder when 33 is divided by h?
9
Let d(n) = 32*n - 171. What is the remainder when 292 is divided by d(6)?
19
Let n = 86 - 35. Let m = -35 + 38. Suppose 0 = -2*h - m*h + 65. What is the remainder when n is divided by h?
12
What is the remainder when 102/4 - 1 - 18/(-36) is divided by 13?
12
Suppose t - 14*g - 46 = -18*g, 0 = -4*t + 5*g + 226. Calculate the remainder when t is divided by 28.
26
Let z(j) = -2*j**3 + 81*j**2 - 170*j + 58. What is the remainder when z(38) is divided by 6?
2
Calculate the remainder when 243 is divided by ((-42)/8)/(49/(-196)).
12
Suppose -2*n - 3*d - 375 - 267 = 0, n + 316 = d. Let k be (-7)/56 - n/(-16). Let c = k + 32. What is the remainder when 33 is divided by c?
9
Suppose 0 = -2*q + 4, -6*o + 2*o = 3*q + 210. Let r = -35 - o. Calculate the remainder when r is divided by 11.
8
Let z = 288 + -273. What is the remainder when 41 is divided by z?
11
Suppose 4*l + 0*l + 18 = 2*j, 2*j = 5*l + 21. Suppose j*r = 236 - 17. What is the remainder when r is divided by 15?
13
Suppose -44*d - 8004 + 31192 = 0. What is the remainder when d is divided by 44?
43
Suppose -18*w + 82 = -16*w. Let f = 60 + w. Calculate the remainder when f is divided by 26.
23
Suppose -14 = c - 2*c. Suppose 4*p + 169 = -s, -4*p - 4*s + s = 179. Let x = 82 + p. What is the remainder when x is divided by c?
13
Let g(i) be the second derivative of -i**3/6 + 3*i**2 + 2*i. Let s be g(-6). Let y = 24 - s. What is the remainder when 22 is divided by y?
10
Suppose 3*y = -4*z + 28, -11 = -0*y - 2*y + 5*z. Suppose -4*o - 14 = 2*s, -2 = -o + s - 7. Calculate the remainder when 33 is divided by (-47)/o + y/32.
9
Suppose -4*r + 166 = -2*r. Suppose -4*s + r = 23. What is the remainder when s is divided by 4?
3
Suppose 3*c = -0*c + 3*v + 45, 4*v + 79 = 5*c. Calculate the remainder when 43 is divided by c.
5
Let x(b) = 2*b**2 + 61*b. Calculate the remainder when x(7) is divided by 33.
30
Let u(z) = -z**3 - 8*z**2 + 3*z - 41. What is the remainder when u(-10) is divided by 33?
30
Let p = 277 + -235. What is the remainder when 365 is divided by p?
29
Suppose 2*t = -n + 3*n + 692, -2*t + 5*n = -692. Calculate the remainder when t is divided by 29.
27
Let i(p) = -p**3 + 2*p**2 - 2*p + 2. Let j(z) = -2*z**3 + 4*z**2 - 5*z + 5. Let o(u) = -9*i(u) + 4*j(u). Calculate the remainder when 7 is divided by o(0).
1
Let b(q) = -53 + 48 + q + 2*q. Suppose 7*m = 4*m + 4*i + 6, -3*m - 5*i + 33 = 0. What is the remainder when 37 is divided by b(m)?
11
What is the remainder when (-5 + 5 + 11)/((-5)/(-110)) is divided by 25?
17
Let h(q) = -17*q - 2. Let f be (24/(-9) - -3)*-3. What is the remainder when (32/(-10) - -2)/(1/(-60)) is divided by h(f)?
12
What is the remainder when 261 is divided by -6 - -2 - (-12)/3 - -6?
3
Suppose 2*p - 386 - 166 = -4*w, -p + 4*w = -270. What is the remainder when p is divided by 71?
61
Let t = 3 - -16. Suppose -3*c + 117 = 10*b - 5*b, c = -4*b + 39. Let q = c - 3. What is the remainder when q is divided by t?
17
What is the remainder when -10 + 533 - (1 + -4) is divided by 53?
49
Let o = -28 - -13. Let n be (-111)/o + 4/(-10). Suppose 0*d - n = -d. Calculate the remainder when d is divided by 3.
1
Suppose 2*w + 104 = 6*w. Suppose -83 + 2 = -9*y. Calculate the remainder when w is divided by y.
8
Let x(s) = s**3 + 3*s**2 + s - 1. Let g(f) = f + 7. Let m be g(-6). Suppose 0 = -3*i + 2 + m. What is the remainder when i is divided by x(-2)?
0
Let l(a) = 4*a**2 - 19*a + 84. What is the remainder when l(8) is divided by 19?
17
Suppose -36*b + 170 = -26*b. What is the remainder when 129 is divided by b?
10
Suppose 6*w - 5*w - 4 = 0. Suppose -w*u + 60 = u. Let g(t) = -t**3 + 12*t**2 + 2*t - 15. What is the remainder when 33 is divided by g(u)?
6
Let g(v) = 3*v - 75. Let j be g(9). What is the remainder when 3 + -8 - j*1 is divided by 5?
3
Let h be (-932)/(-26) - (-16)/10