divided by a.
17
Let p be (7 - (1 - -2)) + 3. Suppose p + 5 = 6*i. Calculate the remainder when 89 is divided by ((-6)/4 + i)/(6/564).
42
Let f(v) = v + 100. Suppose 5*u = -24*u + 9*u. What is the remainder when f(u) is divided by 52?
48
Let k = 449 + -306. Let r = 248 - 248. Suppose x + 5*s - 3 - 13 = 0, 4*x + 3*s - 132 = r. Calculate the remainder when k is divided by x.
35
Let c be 744/(-18) - (-2)/(-3). Let o = c + 94. Suppose -5*p - 9 = 11, 3*p - o = -4*f. What is the remainder when 62 is divided by f?
14
Suppose -w + 0*w + 68 = -3*c, -3*w = -2*c - 183. Let l = -106 - w. Let d = -151 - l. What is the remainder when 94 is divided by d?
10
Let j(f) = -25*f + 11. Let b = 39 - 40. What is the remainder when j(-6) is divided by (328/(-24))/(b*2/6)?
38
Let s(y) = -102*y**3 - y**2 + 4*y - 2. Let x be s(1). Let n = -57 - x. Let p = n + -1. Calculate the remainder when 85 is divided by p.
42
Let t = 72 + 333. Let r = -300 + t. Calculate the remainder when r is divided by 31.
12
Suppose -9 = -25*t + 27*t - 15. Calculate the remainder when 22 is divided by t.
1
Suppose -124 = -4*q + 2*q. Let y(w) = 2*w + 26. Let v(h) = -h. Let g(j) = 3*v(j) + y(j). What is the remainder when q is divided by g(-6)?
30
Let w(j) = 2*j**3 + 39*j**2 - 47*j + 9. Calculate the remainder when w(-19) is divided by 115.
113
Let b(i) = 457*i + 6196. What is the remainder when 347 is divided by b(-13)?
92
Let r(z) = -95*z + 225. Calculate the remainder when 1413 is divided by r(2).
13
Suppose 11 = 2*m - b, -6 - 7 = -2*m + 3*b. Suppose 13*g = 15*g - 26. Calculate the remainder when g is divided by m.
3
Let c(i) be the third derivative of -3*i**4/8 - 7*i**3/6 + 44*i**2. Calculate the remainder when 58 is divided by c(-3).
18
Suppose 4*w + 4*v + 12 = w, 3*w + 9 = -3*v. Suppose w = 2*z + 3*p + 113, -3*z - 108 = 3*p + 66. Let l = z + 88. Calculate the remainder when l is divided by 8.
3
Suppose 12*h = 3*k + 15*h - 417, 419 = 3*k + 2*h. Calculate the remainder when k is divided by 64.
13
Let v(w) = 2*w**3 - 6*w**2 + w - 7. Let d(x) = -x**3 + 13*x**2 + 14*x + 15. What is the remainder when v(5) is divided by d(14)?
8
Let x = 25039 - 24069. Calculate the remainder when x is divided by 203.
158
Suppose 210*b - 94*b = 107*b + 999. Calculate the remainder when b is divided by 106.
5
Suppose -47*k = -13314 - 6426. Calculate the remainder when k is divided by 24.
12
Suppose -2*r + 3*r = 25. Let n(g) = -g**2 + 17*g - 13. Let l(y) = y + 1. Let f(d) = 5*l(d) - n(d). What is the remainder when r is divided by f(11)?
4
Let t(n) = 49*n**2 + 531*n - 29. What is the remainder when t(-12) is divided by 47?
44
Let c = 88 + -81. Let i(o) = -o**2 + 0*o**2 - c - 749*o + 740*o. What is the remainder when i(-4) is divided by 11?
2
Let n(u) = -15*u**2 + 83*u + 16. Calculate the remainder when 244 is divided by n(5).
20
Calculate the remainder when 384*(15/(-35) + (-1700)/(-357)) is divided by 25.
14
Let s(m) = m**3 + 7*m**2 - 10*m - 14. Let x be s(-8). Let b be 29 - (x/(-1 - 0))/2. What is the remainder when 57 is divided by (20/50)/(1/b + 0)?
9
Let n(p) = p**3 - 23*p**2 - 20*p - 34. Let s be n(24). Suppose 3*c + s = 224. Let x = c + -30. Calculate the remainder when 71 is divided by x.
23
Let p(c) = 8*c**2 - 74*c + 129. What is the remainder when 146 is divided by p(8)?
48
Suppose 20*i = 23*i + 315. Let j(p) = p**3 + 17*p**2 + 23*p + 15. Let l be j(-16). Let y = l - i. What is the remainder when 54 is divided by y?
6
Suppose c = -4*v + 10, -2*v + 10 = -9*c + 7*c. Suppose -v*n + 60 = 9. Calculate the remainder when 19 is divided by n.
2
Calculate the remainder when (-5)/(29199/(-2433) + 12) is divided by 25.
5
Let v(o) = -136*o + 3146. Calculate the remainder when 5756 is divided by v(23).
14
What is the remainder when 1440 is divided by 188 - (1 - 5/(20/(-24)))?
173
Let y be (-144)/48 + 7 + -1. Let u(b) = -87*b + 20. Let h(k) = -87*k + 19. Let g(m) = -6*h(m) + 5*u(m). What is the remainder when g(y) is divided by 50?
47
Let y(m) = 3*m**2 - 8*m + 7. Let h be y(1). Suppose 0 = -h*q + 17 - 1. Calculate the remainder when 21 is divided by (q/10)/(92/30 + -3).
9
Suppose -497 = -4*o - 481. Suppose 0 = -o*w - 5*t - 18 + 30, 4*w + t = 28. Let h = -44 - -81. What is the remainder when h is divided by w?
5
Calculate the remainder when 846 is divided by -1*3*-4*(-329)/(-28).
0
Let d(n) = -n**3 - 14*n**2 - 60*n - 6. Let b(k) = 15*k**2 + 3*k - 2. Calculate the remainder when d(-8) is divided by b(1).
10
Let n(k) = -71*k + 397. Calculate the remainder when (134/1)/2*(0 + 3) is divided by n(5).
33
Let b(g) = 322*g - 2186. Calculate the remainder when 5097 is divided by b(7).
65
Calculate the remainder when (1 + 5 - 11/2)*(-5052)/(-6) is divided by 41.
11
Let x = 234 - 446. Let q = x - -233. What is the remainder when 37 is divided by q?
16
Suppose s = 2*o + 2 + 2, 4*o = 8. Suppose 0 = 2*v - 2*k - 90, -s*v - 4*k + 102 = -6*v. What is the remainder when v is divided by 24?
23
Let s(b) = b**3 + 9*b**2 - 5*b. Suppose -2*k - 4*f - 35 = -3*k, 0 = -2*k - 2*f + 100. What is the remainder when s(-6) is divided by k?
44
Suppose 2*h = 3*q - 29, -27 = -3*q + h + 2*h. Let d = 121 + -58. Calculate the remainder when d is divided by q.
8
What is the remainder when (2 - 9)/7*-479 is divided by 12?
11
Suppose 14*p = 11*p. Suppose 0 = -p*h - 2*h - 4*x + 48, -2*h + 5*x = -93. Calculate the remainder when h is divided by 12.
10
Suppose 294113 + 162091 = 42*f. What is the remainder when f is divided by 28?
26
Let n(s) = -s**2 + 59*s - 55. What is the remainder when n(56) is divided by 331/7 + 2/(-7)?
19
Suppose 0 = 3*m + 20*k - 16*k + 1, 5*k + 5 = -3*m. Let n = -165 + 100. What is the remainder when (-1745)/n + 6/39 is divided by m?
2
Suppose -5*k = -i + 25, -2*i - 2*i + 20 = 0. Let y be ((-399)/(-38))/((-2)/k). Suppose -6*n + y = -27. What is the remainder when 11 is divided by n?
3
Let x = -118 - -330. Let a = x + -91. Let c = 124 - a. Calculate the remainder when 9 is divided by c.
0
Let p = 26 - -27. Suppose 5*l + 2*a - 156 = -0*a, 5*a + 135 = 5*l. Suppose 40 = -l*t + 32*t. What is the remainder when p is divided by t?
13
Let p(u) be the second derivative of -u**5/10 - 5*u**4/6 + u**3/2 - 12*u**2 - u - 6. What is the remainder when 54 is divided by p(-6)?
24
Let p be 20*(-8)/(-32) - (-120 - 2). Let i = -74 + p. What is the remainder when 99 is divided by i?
46
Suppose -795 - 95 = -5*h. Let j(l) = -11*l**3 - 2*l**2 - 2*l - 1. Let r be j(-1). Suppose -141 = -r*u + 159. What is the remainder when h is divided by u?
28
Suppose -3*g = 1 + 5. Let r(a) = 5*a + 14. Suppose -10*m + 102 + 168 = 0. What is the remainder when m is divided by r(g)?
3
Suppose -98*d = 993 - 8147. What is the remainder when d is divided by 59?
14
Let u(x) = 2*x**2 - 37*x - 11. Calculate the remainder when 4320 is divided by u(21).
90
Let p be (-48)/36 + -1*4/6. Calculate the remainder when 215 is divided by 21*(-15)/p*(-120)/(-350).
53
Let c be -2 + -1*2 - (-2 + -103). Let k = c - 91. Suppose -48 = -2*s - k. What is the remainder when s is divided by 3?
1
Let u(l) = -l + 1. Let n(g) = g - 6. Let x(p) = -n(p) - 2*u(p). Let j be x(2). Calculate the remainder when 3*(-4150)/(-135) + j/(-27) is divided by 16.
12
Suppose -29*d = -383 + 122. Calculate the remainder when (-3 - -3) + 3 + 12 is divided by d.
6
Let r = 24950 + -24767. What is the remainder when 10428 is divided by r?
180
Let f(n) be the third derivative of n**6/120 - n**5/30 + 4*n**3/3 - 5*n**2. Suppose 14*y + 24 - 1088 = 0. What is the remainder when y is divided by f(4)?
36
Let a be -198 - 1/(28/(-16) + 2). Let v = 322 + a. Calculate the remainder when v is divided by 31.
27
Let n be 132/(-66) - (1 - 309). Suppose 568 = 19*z - n. Calculate the remainder when z is divided by 7.
4
Let w = 27 - 15. Let g = w - 6. Calculate the remainder when (6/(-21))/((-9)/315) is divided by g.
4
Suppose 3600 = 11*l + 49*l. Let t be 6/8 - (-1)/4. What is the remainder when 25 is divided by 2*(l/8 - t)?
12
Suppose 0 = -64*w + 68*w - 36. Let z(x) = x**2 - 9*x + 54. What is the remainder when 755 is divided by z(w)?
53
Let p = -70 - -72. Suppose -20 = -4*f, -2*x - p = -5*f + 7. Suppose 104 = x*s - 6*s. What is the remainder when 101 is divided by s?
49
Let z(q) = 4*q**2. Let f be z(-3). Let c = -51 + f. What is the remainder w