12). Suppose -42 = -3*n - 3*z, -n = h*n + z - 44. Calculate the remainder when 68 is divided by n.
8
Calculate the remainder when 5/10 + ((-810)/(-4) - -10) is divided by 54.
51
Let r = 142 - 100. What is the remainder when r is divided by 16?
10
Suppose -59 = -f + 4*d, -2*d = 22 - 18. Calculate the remainder when 91 is divided by f.
40
Let m = 3118 + -3026. Let j = -20 + 39. Calculate the remainder when m is divided by j.
16
Suppose 10*m = 676 + 394. Calculate the remainder when m is divided by 29.
20
Suppose -67 = -5*s + 48. Suppose l - 71 = 3*q - 4*q, l - 137 = -2*q. Calculate the remainder when q is divided by s.
20
Let k(q) be the third derivative of q**4/8 - 8*q**3/3 - 12*q**2. What is the remainder when 89 is divided by k(13)?
20
Suppose 4*f - 31 = -3*u, -3*u - 49 = -f - 3*f. Suppose -k - 5 = 4*a - 28, -k - a = -26. Suppose 6*g = 5*g + k. Calculate the remainder when g is divided by f.
7
Let x = 61 + -55. Suppose 154 = x*k - 44. What is the remainder when 162 is divided by k?
30
Suppose -37 - 47 = -7*o. What is the remainder when 37 is divided by o?
1
Suppose -2*p - 110 = -w, -5*w = -0*w - 2*p - 574. What is the remainder when 233 is divided by w?
1
Let i be 2/8 + 13434/24. Calculate the remainder when 13 is divided by (-2)/(-9) - i/(-72).
5
Calculate the remainder when 697 is divided by ((-40)/3)/(14/(-105)).
97
Suppose 5*d = 3*d - 3*k + 168, 263 = 3*d - k. Suppose -7 = -m + 5*w + 25, 10 = -5*w. Calculate the remainder when d is divided by m.
21
Let n(k) = -2*k**2 - 7*k - 1. Let a be n(-3). Suppose -a*i - 304 = -6*i. What is the remainder when i is divided by 22?
10
Let h = -32 - -36. Calculate the remainder when 4 - (h - (79 + -4)) is divided by 19.
18
What is the remainder when 23772/70 + (-6)/10 is divided by 31?
29
Let n(w) = -2*w**3 - 5*w**2 - w + 5. Calculate the remainder when 50 is divided by n(-3).
16
Let v be (3 + -4)*(-1 + 1). Let u(y) = y + 4 + 12 - 4. What is the remainder when u(v) is divided by 5?
2
Suppose 42*r - 36*r - 252 = 0. What is the remainder when 712 is divided by r?
40
Suppose 36 = -8*o - 484. What is the remainder when (-4 + o)*(3 + (-30)/9) is divided by 11?
1
Suppose 0 = 5*p - 3*n - 88, -p + 4*n + 13 - 9 = 0. Let i be (-12)/((-5)/(-2) - 1). Let a = p + i. Calculate the remainder when a is divided by 4.
0
Let a(o) = -o + 4. Let g(m) = 4*m - 3. Let d be g(-2). Suppose f + 5*i - 31 = 0, 7*f - 2*f - 2*i - 20 = 0. Calculate the remainder when a(d) is divided by f.
3
Let w(i) = -2*i**3 - 13*i**2 - 12*i - 7. Let l be w(-5). Calculate the remainder when 108 is divided by (l/(-4))/(1/6).
9
Suppose 2*v + 8 - 4 = 0. Calculate the remainder when ((-9)/v)/(5/90) is divided by 28.
25
Suppose 3*d = 5*z - 49, -d - 23 = z + 4*z. Let t = d - -31. Suppose 0 = 116*c + 53*c - 8450. What is the remainder when c is divided by t?
11
Let g(b) = 5*b - 91. What is the remainder when 35 is divided by g(19)?
3
Suppose -8*v + 37858 = 38*v. What is the remainder when v is divided by 15?
13
Let o(d) = d**3 + 6*d**2 + 7*d + 10. Let z be o(-5). Calculate the remainder when 117 is divided by 27 + (5 - (2 - z)).
27
Let f be (-3)/(-6) + 2/4. Let a(d) = -f - 3*d + 4*d - 5*d. What is the remainder when a(-1) is divided by 3?
0
Let k = 1151 - 1125. What is the remainder when k is divided by 3?
2
Let w(i) = -11*i**3 - 1. Calculate the remainder when w(-1) is divided by (-1 + 4 - 2*-3) + -4.
0
Suppose 0 = 13*p - 8*p - 220. Calculate the remainder when p is divided by 22.
0
Suppose -18*q + 11*q = -35. What is the remainder when 52 is divided by q?
2
Let i(a) = -3*a + 3. Suppose -4*r = 5*z + 2, -2*r = -4*z + 2*r - 16. What is the remainder when 26 is divided by i(z)?
8
Let j be 83 + (4/(-4) - 1). Suppose 8*c = 497 - j. Calculate the remainder when c is divided by 18.
16
Let i = 26 + -16. Let g(f) = f**3 - 9*f**2 + 10*f + 4. Let l be g(8). Suppose 2*j - l - 18 = 0. Calculate the remainder when j is divided by i.
9
Suppose 5*p = 3*p + 10. Suppose -p*f + 131 + 264 = 0. Calculate the remainder when f is divided by 20.
19
Let m = 182 + -88. What is the remainder when 255 is divided by m?
67
Let r = 117 + -115. What is the remainder when 23 is divided by r?
1
Suppose -5*r = -4*r. Let f(q) = 3 + r - 2*q - 2. Calculate the remainder when f(-3) is divided by 4.
3
Suppose 3*p - 1480 = 4*u, 3*p - 3*u = 5*p - 964. What is the remainder when p is divided by 35?
33
What is the remainder when (6/3)/(37/2368) is divided by 43?
42
Suppose 0 = 32*y - 24*y - 648. Let t(d) = -d**3 - 20*d**2 - 2*d - 18. Calculate the remainder when y is divided by t(-20).
15
Suppose 54 = u - 35. What is the remainder when u is divided by 25?
14
Let h be (-6)/(-3) + (-24)/6. Suppose i + i = 4. What is the remainder when (-2)/((8/12)/h) is divided by i?
0
Let v be (-5)/(-40)*82*-4. Let h = v - -42. What is the remainder when 2 is divided by h?
0
Suppose 5*m - 430 = f, -5*m + 2*f = -254 - 181. What is the remainder when m is divided by 11?
8
Let j(y) = -y**3 - 9*y**2 - 14*y + 17. Let h be 2/(-9) + (-415)/(-45). Let q = -4 + h. Calculate the remainder when j(-7) is divided by q.
2
Let h be 21 - (0 + 3 - -1). Let r = h - 16. Calculate the remainder when 33 is divided by ((-12)/20)/(r/(-15)).
6
Let c(r) = 6*r - 7. Let n be (-2)/(-6) + 56/21 - -15. Suppose -9*l = -12*l + n. Calculate the remainder when c(5) is divided by l.
5
Let g = -4 - -9. Suppose 3*k = g*x - 59, 3*k = 4*k + 5*x + 13. Let y = k + 36. Calculate the remainder when y is divided by 5.
3
Suppose -i + 76 = 4*i - 4*p, 0 = i - p - 16. Suppose 2*u = -9 - 1, 7 = -z - 2*u. Calculate the remainder when i is divided by z.
0
Suppose -3*z + 2*z = -3. Suppose 6*q = 4*q + 8. Suppose -5*u = -5*b, -9 = -u - q*b + 2*b. Calculate the remainder when z is divided by u.
0
Suppose 0 = -m + 6*m - 175. Let a be 6/(m/10 + -2). Let x(u) = -u**3 + 3*u**2 + 7*u - 2. What is the remainder when 58 is divided by x(a)?
8
Suppose 4*s + 124 - 248 = 0. What is the remainder when 183 is divided by s?
28
Suppose 76 = 4*m - 2*s, 5*s = -2*m + 12 + 26. Let w = m + -11. Calculate the remainder when 63 is divided by w.
7
Let v(j) = 3*j**2 - 6*j - 1. Let k(y) = -2*y**3 + 13*y**2 + 9*y + 4. Calculate the remainder when v(-6) is divided by k(7).
17
Suppose -c + 4*q = -23, -5 = 3*c - 2*q - 94. Calculate the remainder when 44 is divided by c.
13
Let s = 476 - 198. What is the remainder when s is divided by 31?
30
Suppose -5*g - 23 = x, 0 = x - 3*x + 4*g + 24. Suppose 5*s + x*u - 92 = 4*u, 4*u = 3*s - 58. Calculate the remainder when s is divided by 5.
3
Suppose -3*o + 33 = 5*f - 60, 3*f - 93 = -3*o. Suppose 2*h - 420 = -5*h. Calculate the remainder when h is divided by o.
29
Suppose l + 5*p - 17 = 0, 4 = 4*l + 5*p - 34. Calculate the remainder when 2*(-2)/4 - -33 is divided by l.
4
Let d = 106 - 109. What is the remainder when ((-163)/d)/(23/69) is divided by 42?
37
What is the remainder when 2*69 - (-1 - (-12 - -12)) is divided by 66?
7
Let h = -164 - -181. Suppose -2*i - 4 = 0, -b - i - 1 + 4 = 0. What is the remainder when h is divided by b?
2
Let t(x) = 78*x - 377. Calculate the remainder when 427 is divided by t(5).
11
Let m(p) = 5*p - 1. Let f(v) = -v**3 + 5*v**2 + 7*v - 5. Let h be f(6). Let d = 7 + 3. Calculate the remainder when d is divided by m(h).
2
Suppose -139 = -5*y - 39. Let g = -11 + -9. Let n = g - -32. Calculate the remainder when y is divided by n.
8
Let x(t) = -t**2 - 14*t + 26. Let r be x(-16). Suppose -5*y = -2*h + 65, -3*y = 5*h - 7*y - 120. What is the remainder when r*(-68)/12 + 4 is divided by h?
18
Suppose -9*i + 14*i - 25 = 0. What is the remainder when 57 is divided by i/(25/65) - 3?
7
What is the remainder when 91*((-15)/25 + 143/55) is divided by 36?
2
Let n be (6 + -3 - 5)*1. What is the remainder when 222*((-15)/(-6) + n) is divided by 28?
27
Suppose -5*r = 5*f - 1435, 4*r + f - 1435 = -r. What is the remainder when r is divided by 36?
35
Suppose -4 = -3*s + s - 5*t, 0 = s - 2*t - 20. Suppose 9 = -3*w, -w = -2*o - 3*o + 173. What is the remainder when o is divided by s?
10
Suppose 0 = 11*i - 16*i + 475. Suppose 33 = 8*h - i. Suppose -17*m = -h*m - 17. Calculate the remainder when 48 is divided by m.
14
Let i(q) = 5*q - 47. What is the remainder when i(23) is divided by 15?
8
Let y = -172 - -354. Calculate the remainder when y is divide