57, -1863 = -3*k - 4*j. Calculate the remainder when k is divided by 70.
69
Suppose c = 5*m + 627, -2*m + 0*m - 627 = -c. Let u = c - 530. Calculate the remainder when 187 is divided by u.
90
Let x(l) = -l + 1. What is the remainder when (3/27)/((-41)/(-4059)) is divided by x(-4)?
1
Let v(n) = -n**3 + 47*n**2 - 460*n + 16. What is the remainder when 268 is divided by v(14)?
4
Suppose -5*j + k = -20, -j - 3*k - 17 = k. Suppose -2*a - 205 = -7*a - 2*y, 171 = 4*a + j*y. Calculate the remainder when a is divided by 13.
0
Suppose 3*n + 5*c = 87 + 101, c - 526 = -8*n. What is the remainder when 640 is divided by n?
46
Suppose 0 = -0*g - 2*g + 28. Let b(w) = 14*w + 44. What is the remainder when b(-2) is divided by g?
2
Let p(m) = 50*m**3 - m - 8. Let z be p(3). Suppose 25*w + 189 = z. What is the remainder when 154 is divided by w?
16
Let a(k) = k**2 - 29*k + 184. Suppose -3*z + 3 + 90 = 0. Calculate the remainder when z is divided by a(8).
15
Let j(x) = 2*x**2 + x + 168. Let k be j(0). Suppose k = s + 6*s. Suppose -22*n + s*n - 58 = 0. Calculate the remainder when n is divided by 4.
1
Let a(j) = j + 32. Suppose 2*g + 5 = 97. Let t = g - 60. What is the remainder when a(t) is divided by 7?
4
Suppose -3*u + 213 = -168. What is the remainder when 362 is divided by u?
108
Suppose 246*f + 279*f - 19600 = 500*f. Calculate the remainder when f is divided by 187.
36
Let p be ((-369)/6)/((-30)/20). Suppose -7*v + 2*v + 222 = -2*w, p = v + 3*w. Calculate the remainder when 75 is divided by v.
31
Let u(l) be the third derivative of l**5/15 - l**4 + 59*l**3/6 + 288*l**2. Calculate the remainder when 228 is divided by u(3).
21
Let a(k) be the third derivative of -k**5/15 - 21*k**4/8 + 5*k**3/2 - 2*k**2 - 17*k. Calculate the remainder when 179 is divided by a(-15).
59
Suppose -2*h = -1 - 5. Let r(v) = 119*v - 2688. What is the remainder when r(23) is divided by h?
1
Calculate the remainder when 2828 is divided by (-8260)/105*(-3)/(-9)*18/(-4).
114
Let b(t) = 134*t**2 - 3479*t - 67. What is the remainder when 462 is divided by b(26)?
21
Let k = -3384 + 3398. What is the remainder when ((-8)/10)/(5/(-775)) is divided by k?
12
Let g(w) = 10*w**2 + 255*w + 22. Calculate the remainder when g(-34) is divided by 31.
29
Let j(v) = -2*v**2 - 44*v + 1. Let i be j(-22). Let p(y) = 14*y - 16. What is the remainder when p(5) is divided by (-40)/(-3) - (i - 5/3)?
12
What is the remainder when 728 is divided by 98/21*222/7?
136
Let o = -26 + 28. Suppose 200 = -o*b + 330. Calculate the remainder when b is divided by 23.
19
Suppose 3*k = 2*c + 181, -52 + 176 = 2*k + 2*c. Let b = 41 + k. Suppose 4*o - b = o. What is the remainder when 67 is divided by o?
33
Calculate the remainder when (0 + 14)*-1 + 135 is divided by 43.
35
Calculate the remainder when (-1331)/(-10) + -8 + 869/110 is divided by 57.
19
Suppose -46*t = -21*t - 19*t - 7914. What is the remainder when t is divided by 33?
32
Let p(j) = -5*j - 40. Let s be p(18). Let q = s - -167. Calculate the remainder when 403 is divided by q.
33
Suppose 9 = -3*n - 5*q, -2*n - 3*q = 2*q + 6. Let v(u) = 3*u**2 + 6*u - 1. Calculate the remainder when -3 + 230/15 + (-2)/(-3) is divided by v(n).
5
Let i = 64 + -65. Let m be (-4)/(-1) - ((i - 11) + -2). Suppose -10 - m = -o. What is the remainder when 81 is divided by o?
25
Suppose -591 - 187 = -22*x - 4*c, 2*x - 56 = -2*c. What is the remainder when 107 is divided by x?
33
Let c = 25 - 21. Suppose -75 - 61 = -c*k. Suppose -71*v + 27*v = -440. What is the remainder when k is divided by v?
4
Let r(p) be the third derivative of p**6/60 - p**5/15 - 5*p**4/24 - p**3/2 + 3*p**2. Calculate the remainder when r(4) is divided by ((-21)/6)/(3 - 52/16).
13
Suppose -3*u + 257 = 5*x, 5*u - 4*x - 419 = -3*x. Let q = -71 + u. What is the remainder when 74 is divided by q?
9
Suppose 36*c - 31*c + 12015 = 5*r, 2*r + c = 4794. Calculate the remainder when r is divided by 16.
15
Let h(n) = -330*n + 2653. Calculate the remainder when 3807 is divided by h(8).
11
Let g = 9814 + -9263. What is the remainder when g is divided by 288?
263
Calculate the remainder when (-19006)/(-117) + (-8)/18 is divided by 15.
12
Suppose 5*b + 18 = 14*w - 12*w, -68 = -4*w + 2*b. Suppose 0 = 4*y + 3*f - 815, -y + 200 = 2*f - 0*f. Calculate the remainder when y is divided by w.
16
Let f(q) = 4 + q**2 - 14 + q - 158*q**3 + 4 + 7. Let i be f(-1). Calculate the remainder when i*-2*4/(-24) is divided by 14.
11
Let x = 1824 - 1784. Calculate the remainder when 1191 is divided by x.
31
Let x(o) = -3*o + 9*o + 3 + 2*o**2 - 4*o. What is the remainder when x(-5) is divided by 4?
3
Suppose -10*h = 9*h - 294576. Suppose -35*z - 1434 + h = 0. What is the remainder when z is divided by 15?
12
Let c = 37 - -25. Let g(r) = r**3 + 4*r**2 - 7*r - 1. Let j(s) = -4*s**2 - 1. Let m be j(-1). Calculate the remainder when c is divided by g(m).
8
Let y(x) = 5*x**2 + 20*x + 8. Let c be y(7). Suppose -2*d = -s + 195, -2*s - 5*d + 6*d + c = 0. Calculate the remainder when s is divided by 20.
17
Suppose -3*n + 70 = i, -i - n + 12 = -58. What is the remainder when 1188 is divided by i?
68
Let q = 62 + -30. Suppose 3*g + q = 5*t + 2*g, -2 = t - 3*g. What is the remainder when (-4)/(-3)*(-1989)/(-204) is divided by t?
6
Let u be (-1 + -1)*9/18*0. Suppose u = j + 3*p - 60, -6*j + 4*p + 243 = -j. What is the remainder when j is divided by 26?
25
Let n(p) = 63 + 9 + 2*p + 44 - 47. Suppose 19 = -5*x + 44. What is the remainder when n(0) is divided by x?
4
Suppose 4*y = -4, 4*w - 4*y = -3*y + 9. Suppose 5*b - 5*r = 1070, -r + 220 = w*b - b. What is the remainder when b is divided by 13?
9
Let p = 106 - 111. Calculate the remainder when 501 is divided by 6*((-62)/(-4) + p).
60
Let s = 15 + -10. Suppose 0 = -4*a - 3*h - h + 2788, -5*h - 3445 = -5*a. Suppose s*k - a = -4*k. Calculate the remainder when k is divided by 16.
13
Let r(m) = 2*m**3 + m**2 + 9*m - 5. Let f be r(3). Suppose 21*g + f = 26*g. Let a = g - 10. What is the remainder when 33 is divided by a?
5
What is the remainder when (3 - 4 - 4) + 48/8 + 3874 is divided by 57?
56
Suppose -1965 = -10*a - 5*a. What is the remainder when a is divided by 1*-2*(-2665)/130?
8
Suppose 29 - 197 = s. Let m be (2/(-4))/(((-78)/s)/13). Calculate the remainder when 73 is divided by 6/m*7/(-4)*52.
34
Let k = 284 - 295. Suppose -a - 4*g + 40 = 0, -2*g + 173 = 4*a + g. Let l = k + a. What is the remainder when 61 is divided by l?
28
Let y = -63 - -226. Let s = y + -153. What is the remainder when 147 is divided by s?
7
Let u(c) = 377*c**2 - 2*c + 1. Let l = -3130 + 3148. Calculate the remainder when u(1) is divided by l.
16
Let b be 28 + -32 - (-101 - 1)*2. Suppose -10*d - 3*v - b = -11*d, -3*d - 4*v + 574 = 0. What is the remainder when d is divided by 65?
64
Let q = 18244 + -18208. What is the remainder when 329 is divided by q?
5
Let a(y) = 9*y**2 + 12*y + 4. Suppose 28*x = 32*x - 24. Let r be a(x). Suppose r - 48 = 16*p. Calculate the remainder when 59 is divided by p.
15
Suppose 5*q - 302 = 268. Suppose -13*t - q = -16*t. Suppose a - 3*a = -t. Calculate the remainder when 93 is divided by a.
17
Suppose -674*x + 823*x = 577*x - 16264. What is the remainder when (244/6)/((-4)/(-18)) is divided by x?
31
Suppose -5*a - 14*x + 30 = -12*x, 3*a + x - 17 = 0. Suppose -2*h + 145 = a*c + 41, c - 2*h = 16. What is the remainder when 68 is divided by c?
20
Let p = -23307 + 23539. What is the remainder when p is divided by 125?
107
Let j be ((-8)/(-1))/(-4) + -168 - 1. Let l(o) = -o**2 - 8*o + 3. Calculate the remainder when (j/(-27))/((-1)/(-9)) is divided by l(-6).
12
Let w(i) = 4*i**2 + 108*i + 1776. What is the remainder when w(-15) is divided by 70?
6
Let w(y) = y**3 + 13*y**2 - 10*y + 58. Let v be w(-14). Suppose -2 + 0 = -4*a - 2*h, v = -2*h. Let f = -3 - -4. What is the remainder when a is divided by f?
0
What is the remainder when (10 - 9 - 0)*-4 + 130 is divided by 48?
30
Let m(g) = 1. Let b(n) = -n + 4 - 1 - 7 - 6. Let z(q) = -b(q) - m(q). What is the remainder when 15 is divided by z(-5)?
3
Suppose 187 = 49*m - 205. What is the remainder when 31 is divided by (5/(3/3))/(2/m)?
11
Let q = 18 + -25. Let v(k) = -k**3 - 8*k**2 - 12*k - 2. Suppose -58*f - 11664 = -130*f. What is the remainder when f is divided by v(q)?
30
