 the remainder when f is divided by 13?
12
Let r = -13 - -93. Let f = -143022 + 143028. Calculate the remainder when r is divided by f.
2
Let w(q) = -11*q**2 + 12*q - 56. Let f(c) = 2*c**2 + 2*c - 1. Let g(k) = 5*f(k) + w(k). Calculate the remainder when 204 is divided by g(13).
36
Suppose -4*b + 228 = -72. What is the remainder when (-1 - b)*(-4 - 39/(-12)) is divided by 9?
3
Let q be (-19)/(-3) + ((-24)/18 - -2). What is the remainder when 37 is divided by 3*q/21 + (18 - 3)?
5
Suppose 5 = k - 0*k. Let z(u) = -43*u + 5. Let p be z(-2). Let l = p + -72. Calculate the remainder when l is divided by k.
4
Suppose 0*l + 4*l + 4*x - 316 = 0, 0 = 4*l + x - 322. Let m = l + -76. Calculate the remainder when 17 is divided by 3/(-3 - -4)*m.
2
Let u(l) = 123*l**2 - 23*l + 48. What is the remainder when u(3) is divided by 15?
6
Let m(h) = -58*h + 371. Calculate the remainder when 453 is divided by m(6).
16
Let g = 1657 - 1495. What is the remainder when g is divided by (-4)/1 + -4 + (0 - -51)?
33
Suppose -7*m + 96 = -16. Suppose -5*x + 122 = -108. What is the remainder when x is divided by m?
14
Let p(b) = b**2 + 3*b + 1. Let d(n) be the first derivative of 6*n**2 + 141*n + 63. What is the remainder when p(-5) is divided by d(-11)?
2
Let m = -20 - 19. Let o = -29 - m. Let t = 47 - -1. Calculate the remainder when t is divided by o.
8
Suppose -y - 3*j + 152 = 0, -10*j + 629 = 4*y - 5*j. Calculate the remainder when y is divided by (-2)/(12/(-351)) - 6/(-12).
43
Let d = 122 + -117. Suppose -d*b = 5*x - 310, -93 = -3*x - b + 85. Calculate the remainder when x is divided by 15.
13
Let l be ((1 - -7) + 2)/((-8)/(-28)). Suppose -24 = -f - q - 17, 5*q + l = 5*f. What is the remainder when 1*(24/2)/1 is divided by f?
5
Let f = -14746 - -14814. Calculate the remainder when 537 is divided by f.
61
Suppose -3*b = -3*j + 15, -3*j = -3*b - 2*j - 11. Let q be (-4 - b)*(-108)/(-4). Let h = q - -45. Calculate the remainder when h is divided by 5.
3
Let s = 9047 + -9033. What is the remainder when 913 is divided by s?
3
Let t(f) = -28*f + 40. Let g be t(8). Let b = g + 281. Let a = -85 + b. What is the remainder when 58 is divided by a?
10
Let w(i) = -i**2 + 23. Let h = -236 + 230. Calculate the remainder when w(0) is divided by h/(-30) - (-29)/5.
5
Suppose 0 = -14*u - 7*k + 3*k + 748, 2*k = 10. Calculate the remainder when 2648 is divided by u.
48
Let u = -299 - -309. Suppose 0 = -4*l + 9*h - u*h + 68, 5*l - 96 = -4*h. Calculate the remainder when l is divided by 3/(2 - (-5)/(-3)).
7
Let k(j) = -6*j - 158. Let w be k(-28). Let s be 1/2 - (-11)/2. Suppose -20 = -s*x + w. Calculate the remainder when x is divided by 2.
1
Calculate the remainder when -1*(-43)/((-774)/3600)*(-10)/4 is divided by 76.
44
Let m(p) = p + 15. What is the remainder when 480 + -2*5*3*17/(-255) is divided by m(12)?
23
Suppose 202*t - 204*t = -3*r - 192, 0 = -r + 2. Calculate the remainder when 310 is divided by t.
13
Let w be -9 + (3 - 4) + -5. What is the remainder when -339*5/w*1 is divided by 20?
13
Suppose 7*n - 15 = 10*n, -3*n = u - 279. What is the remainder when u is divided by 77?
63
What is the remainder when 6467 is divided by -21*30/(-5)*(-16)/(-24)?
83
Let z = 1444 - 1407. Calculate the remainder when 53 is divided by z.
16
Suppose 5*y = -t + 44, 3*y = 163*t - 166*t + 36. Let f(b) = 14*b - 1. What is the remainder when f(2) is divided by y?
3
Let k = 17 - 13. Suppose 6*l + 8 = -4*i + l, -3*l - k = 2*i. What is the remainder when (15/i)/((-1)/6) is divided by 13?
6
Suppose 29*h - 67*h + 30020 = 0. What is the remainder when h is divided by 24?
22
Let f(y) = y**2 + 16*y - 28. Let r be f(-18). What is the remainder when 36 is divided by r - (2 - (-1 - 0))?
1
Let t(k) = -k**3 - 66*k**2 + 50*k + 394. Calculate the remainder when t(-67) is divided by 32.
29
Let z(h) = 9*h**3 + h**2 + 60*h - 471. Calculate the remainder when z(7) is divided by 171.
7
Let n be ((-2)/(-2))/(-1 + 2) - 9. Let h be 308/16 - (-2)/n. Suppose -h = -j - 0*j. Calculate the remainder when 70 is divided by j.
13
Let o(i) = 10*i**2 + 455*i + 166. What is the remainder when o(-47) is divided by 33?
13
Suppose 5*j + 2*b = -0*j + 25, 0 = -5*j + b + 25. What is the remainder when 2*(j/5 - -22)*1 is divided by 14?
4
Suppose 367*b = -53*b - 10343 + 34283. What is the remainder when 1075 is divided by b?
49
Suppose 8 = -110*r + 106*r. What is the remainder when (r*1 - -6)*(-851)/(-46) is divided by 39?
35
Let q(t) be the second derivative of t**5/10 - 13*t**4/3 + t**3/3 + 3*t**2/2 + t - 23. Calculate the remainder when q(26) is divided by 19.
17
Let v = 4 + -2. Suppose 3*m - 200 = -v*m. Let x(d) = 12*d**2 + 10209*d - 116296. Calculate the remainder when x(-862) is divided by m.
34
Let r(l) = 6*l**2 + 95*l - 773. What is the remainder when r(-37) is divided by 21?
20
Suppose 24 = -0*v + 2*v. Let y be (20/(-30))/(4/(-42)). Suppose 174 = y*u - 57. Calculate the remainder when u is divided by v.
9
Let i be (1 - (-2)/4)/((-4)/(-24)). What is the remainder when (-4)/(i/((-2565)/10)) is divided by 17?
12
Let b be (1 - 2)*11/(-11). Suppose 2*y + 1 = -b. Calculate the remainder when 59/(0 + y/(-1)) is divided by 30.
29
Suppose 0 = 213*v - 310 - 1516 - 2647. Calculate the remainder when 299 is divided by v.
5
Let n(j) = 3*j - 2. Let a(x) = -x + 2. Let p(u) = 6*a(u) + 3*n(u). Calculate the remainder when 88 is divided by p(8).
28
Suppose 374*b - 55*b - 58106 = 49078. What is the remainder when b is divided by 12?
0
Let w(a) = a**3 + 9*a**2 + 10*a + 18. Let z = -397 + 391. What is the remainder when w(z) is divided by 14?
10
Suppose -4 = -3*t + 5*k - 58, 3 = -k. Let r = -8 - t. Suppose 24 - r = 3*n. Calculate the remainder when n is divided by 1.
0
Suppose -304*x = -324*x + 22920. Calculate the remainder when x is divided by 33.
24
Let f(i) = -i**3 - 5*i**2 - 29*i - 96. Calculate the remainder when 423 is divided by f(-4).
3
Calculate the remainder when ((-25401)/(-12))/((-8)/(-32)) is divided by 22.
19
Let n = -16424 - -16812. What is the remainder when n is divided by 56?
52
Suppose 248865 = -159*o + 300*o. What is the remainder when o is divided by 17?
14
Let d(b) = 5*b**2 - 6*b - 18. Let n be d(14). Let q = n + -871. Calculate the remainder when 13 is divided by q.
6
Let w be (1/2)/(4/(1744/(-2))). Let a = 110 + w. What is the remainder when 33 is divided by (3 + 6)*(a - 0)?
6
Let q = -2828 + 3085. What is the remainder when 1073 is divided by q?
45
Suppose 0 = 2*g - 4*f + 80, -4*g - 4*f + 3*f = 115. Let r be (g/6 - -5) + 400. Suppose -r - 50 = -5*j. Calculate the remainder when j is divided by 16.
10
Suppose 37*r + 457 = 87. Let d(w) = w**3 + 18*w**2 + 27*w - 9. What is the remainder when d(r) is divided by 58?
57
Suppose k - 50 = -v, -3*k - 4 = -5*v - 130. Calculate the remainder when 4182 is divided by k.
46
Suppose 8587 = -47*o - 83*o + 72287. What is the remainder when o is divided by 25?
15
Suppose -4141 - 3696 = -17*c. Suppose -2*s + 70 = y + 5*s, -2*s - c = -5*y. What is the remainder when y is divided by 48?
43
Suppose 4*u = 4*s + 9*u - 5902, -5*s + 7358 = 3*u. Calculate the remainder when s is divided by 363.
16
Let x(n) = 2*n**2 + 6*n + 56. What is the remainder when 1084 is divided by x(0)?
20
Let p = 58 + -16. Suppose -p = 13*y + 23. Let l(x) = 3*x**2 + 5*x + 4. Calculate the remainder when l(y) is divided by 29.
25
Suppose -9*i = -6*i + 2*g - 8403, -5*i = -3*g - 13986. What is the remainder when i is divided by 10?
9
Let n = -21185 + 21193. What is the remainder when 780 is divided by n?
4
Suppose 79*j - 972 = -69*j + 64. Let f(u) = 7*u**2 + 4*u - 3. What is the remainder when f(-4) is divided by j?
2
Let u(j) be the first derivative of -j**3/3 - 9*j**2/2 + 28*j - 34. Let y = -29 + 19. What is the remainder when 70 is divided by u(y)?
16
Let h = -1612 - -1720. What is the remainder when 338 is divided by h?
14
Suppose 78 - 58 = -b. Calculate the remainder when ((-1600)/125)/(1/b) is divided by 37.
34
Suppose -365*y = -355*y - 710. What is the remainder when y is divided by 18?
17
Suppose 3*k - 109 = 4*q - 337, 92 = 2*q + 4*k. Calculate the remainder when 224 is divided by q.
8
Suppose 4*g - 220 = 4*m, -5*g + 281 = -m + 2*m. Suppose 4*o + 5*p = 3*p + g, -4 = p. Calculate the remainder when 111 is divided by o.
15
Let h(