182. What is the remainder when 47 is divided by i?
21
Suppose 0 = -7*q + 8*q - 16. Calculate the remainder when 84 is divided by (-6)/(-16) + 282/q.
12
Suppose 5*x = 2*x + 183. What is the remainder when x is divided by 60/(-70) + (207/21 - (-8 + -1))?
7
Let h(a) = 6*a**2 + 74*a + 8. Let r = -259 + 246. What is the remainder when 779 is divided by h(r)?
59
Suppose -36*u + 38*u = 0. Let l be (-4 + u)/(18/27). What is the remainder when (-4)/((32/l)/4) is divided by 2?
1
Suppose 28*s = 27*s - 8. What is the remainder when 110 is divided by (-94)/(-4) + s + (-2)/(-4)?
14
Suppose 7*h + 7 = 497. Suppose -17 = -o - q - 1, 4*o + q = h. Calculate the remainder when 74 is divided by o.
2
Let a = -10 + 13. Suppose 4 = -2*j - a*f - 23, 0 = -j - 3*f - 9. Let c = j + 49. What is the remainder when c is divided by 7?
3
Let g = 9137 + -9048. What is the remainder when 292 is divided by g?
25
Suppose 10*s + 5291 = -21*s + 68*s. Calculate the remainder when s is divided by 15.
8
Suppose -6*l + 2*d + 566 = 0, -21*l + 16*l + 471 = -d. What is the remainder when 514 is divided by l?
44
Suppose 23 = -2*a + 5*a + m, -3*a + 43 = 5*m. Let y(o) = 15*o - 56. Calculate the remainder when y(a) is divided by 27.
7
Suppose 0 = 250*a - 116*a - 5092. Calculate the remainder when (-4)/10 - (-552)/5 is divided by a.
34
Suppose 2*r = 594 - 706. Calculate the remainder when (-256)/r - 8/14 is divided by 3.
1
Suppose -141 - 369 = -15*d. Let n(x) = -8*x - 100. Calculate the remainder when n(-20) is divided by d.
26
Let j(p) = 17*p + 65. Let k be j(-10). Let n = -91 - k. What is the remainder when 36 is divided by n?
8
Let f(j) = -5*j - 1. Let m(c) = 39*c + 69. Let s(n) = 18*f(n) + 2*m(n). What is the remainder when s(-9) is divided by 10?
8
Let d = -76 + 70. Let v(u) = -u**2 - 8*u - 2. Let b be v(d). Suppose -2 = -3*j + b. What is the remainder when 12 is divided by j?
0
Let l be (1/(-3))/(1/69). Let g = l + 5. Let q(d) = d**2 + 16*d - 11. What is the remainder when q(g) is divided by 14?
11
Let c(b) = -3*b**2 - 101*b - 63. Let u be c(-33). Suppose 0 = -4*a + u*g + 56, -2*a - 27*g + 14 = -25*g. Calculate the remainder when 163 is divided by a.
9
Suppose 5*f = 4*n + 973 + 1931, 0 = 12*n - 48. Calculate the remainder when f is divided by 284.
16
Let h(v) = v**3 - 3*v**2 - 12*v - 7. Let c be h(-7). Let j = -408 - c. Calculate the remainder when 88 is divided by j.
3
Let q(n) = n**2 + 2*n + 11. Suppose 0 = 5*f - 20, -3*l + 0*f = f - 22. Suppose 13*g - l*g - 28 = 0. Calculate the remainder when q(g) is divided by 12.
11
Let k(d) = 9*d - 3. Suppose 5*o - 565 = -m, 1805*o + m = 1810*o - 565. What is the remainder when o is divided by k(3)?
17
Let r = -140 + 229. Suppose 2*s + 33 = r. Calculate the remainder when s is divided by 17.
11
Let m = 2986 + -2690. Calculate the remainder when m is divided by 103.
90
Suppose 2*v + 345 = -g + 77, g = -v - 264. Let d = -249 - g. What is the remainder when 80 is divided by d?
3
Suppose -91*s + 127 = 2*h - 90*s, -3*s - 204 = -3*h. What is the remainder when 1683 is divided by h?
58
Suppose -7 = 54*r - 47*r. Let s(l) = 17*l + 9. Let g be s(r). Calculate the remainder when 79 is divided by -6 + 1 - g - -17.
19
Suppose -630*p + 4165 = -545*p. What is the remainder when 6025 is divided by p?
47
Let z(n) = -4*n**3 - n**2. Let o be z(-1). Suppose -9 = 2*a + y, 0 = o*a - 4*y - 0*y - 14. Calculate the remainder when 63 is divided by a + 21 - (-1 + -2).
19
Let q be (-526)/(-6) - (-8)/(-12). Suppose 3*j - 87 = q. Suppose -2*x + 34 = 8*d - 10*d, d - 83 = -4*x. Calculate the remainder when j is divided by x.
18
Suppose u = -u + 5*o + 71, 2*u = -3*o + 47. What is the remainder when 892 + -914 + (140 - 0) is divided by u?
6
Let k = -50 - -56. Let s be 15/k*30/25. Suppose 2*l - 5*m + 20 - 104 = 0, -s*m = -3*l + 144. Calculate the remainder when l is divided by 11.
8
Suppose -4*h + 300 = 5*x, 2*h = -5*x - 0*x + 160. What is the remainder when 420 + -4 + (-9 - -10) is divided by h?
67
Suppose 4*i = -2*u + 24930, 39*i - 8*u + 12458 = 41*i. What is the remainder when i is divided by 11?
7
Suppose -1150*f = -1133*f - 17986. What is the remainder when f is divided by 42?
8
Let r = 19 + 7. What is the remainder when (13 + -8)/35*4*(-2884)/(-8) is divided by r?
24
Let m be (36/(-16) + 2)*-2*0. Suppose 0 = -5*l + 5*q + 5, -3*q + m*q + 3 = -5*l. Calculate the remainder when 21 is divided by 1*24/20*(-35)/l.
7
Let v = 90 + 312. Let h = -385 + v. Calculate the remainder when 30 is divided by h.
13
Suppose -9*o - k - 893 = -5*o, -1117 = 5*o + k. What is the remainder when (-43968)/o + 2/(-7) is divided by 22?
20
Suppose -29338 - 37703 = -18*h - 22527. What is the remainder when h is divided by 37?
31
Let u(j) = j**2 - 16*j + 15. Let s be u(15). Let o be 4*(-3 + s + 3 + 8). Calculate the remainder when 21 is divided by 1/((20/o)/5).
5
Calculate the remainder when 399 is divided by (0 + (-428)/10)/(16/(-40)).
78
Suppose -24338 = -2*z - 22116. What is the remainder when z is divided by 39?
19
Suppose -3*l = 2*o + 2*l - 148, -164 = -2*o - 3*l. What is the remainder when 369 is divided by o?
87
Suppose -3*y + 12 = -y + l, 8 = 2*l. Suppose 10 = 5*w, -19 = -j - 0*j - y*w. Suppose -j*h = -h - 260. What is the remainder when 127 is divided by h?
23
Let r(y) = -13*y - 3. Suppose 4*o - 21*x + 26*x = 300, -5*o = 5*x - 365. Calculate the remainder when o is divided by r(-2).
19
Let w be 114/15 + (-9)/15*1. Let g = w + 31. What is the remainder when g is divided by 10?
8
Let h = 150 - 77. Suppose h*q - 77*q = -1052. Suppose 43 = -5*v + q. What is the remainder when 174 is divided by v?
42
Suppose -3*d + 68*n + 47 = 73*n, -d - 4*n = -32. Let u = 1 + -1. Calculate the remainder when u + 6 - (5 + -5) is divided by d.
2
Let u(i) be the second derivative of -i**3/2 - 3*i**2/2 - i. What is the remainder when 1440/56 - (-6)/21 is divided by u(-5)?
2
Suppose 0 = 2*w - 8, -4*g - 252 = -9*w + 12*w. Let t = g - -70. Calculate the remainder when 6 is divided by t.
2
Suppose 258*t - 154*t + 20955 = 137*t. Calculate the remainder when t is divided by 29.
26
Let p(c) = 3*c - 218. Let n be p(-8). Let q = n - -254. Calculate the remainder when 143 is divided by q.
11
Suppose -4*j = -2*n + 116, -3*n + 104 = -3*j - 67. Let y(u) = 2*u**2 - 10. What is the remainder when n is divided by y(-4)?
12
Let r = 40 - 34. Suppose 52 = 4*v + 4*o, 3*v = r*v - 2*o - 49. Calculate the remainder when 68 is divided by v.
8
Let j(p) = -10*p**2 + 9*p - 1. Let b be j(-5). What is the remainder when ((6/(-4) + 1)*b)/2 is divided by 19?
17
Let f be -18*(-2 + (-40)/(-12)). What is the remainder when (-420)/(-9) - 5/(-15) is divided by ((-8)/(-12))/((-1)/f)?
15
Let t = -324 + 636. Suppose -23 = -y + c - 89, -4*c - t = 5*y. Let p = 89 + y. What is the remainder when p is divided by 7?
4
Let h(p) be the first derivative of 3*p**2 + 2*p + 1. Let t(b) = b**3 - 21*b**2 + 114*b + 8. What is the remainder when t(11) is divided by h(2)?
10
Suppose -2*s + 2*v + 400 = 0, -9*s - 3*v + 600 = -6*s. Suppose -5*i + s = -1080. Calculate the remainder when i is divided by 26.
22
Suppose -244*n - 12 = -248*n. Suppose 0 = 2*v - n*t - 571, -5*v + 1445 = -4*t - 0*t. What is the remainder when v is divided by 37?
34
Suppose -9*x + 35*x + x - 1944 = 0. Calculate the remainder when 180 is divided by x.
36
Let w be (3 + (-1)/2)*20 - 2. Suppose -w*f + 51*f - 48 = 0. Calculate the remainder when 55 is divided by f.
7
Suppose 0 = 4*l - 68 - 348. Calculate the remainder when 475 is divided by l.
59
Suppose 3*g + 9 = 3*r, 0 = 2*g - 9 + 11. Suppose -626 = 2*i - 6*i - r*f, 0 = 3*i - 2*f - 466. Calculate the remainder when i is divided by 23.
18
Let s be 116/6*(-3)/(-2). Suppose 2*y + 29 = 4*b - s, 31 = 3*b - 4*y. Calculate the remainder when 186 is divided by b.
16
Let l = -32 + 35. Suppose 174 = 6*s - l*s. Suppose -s = -3*b - 22. What is the remainder when 23 is divided by b?
11
Let b(f) = -42*f - 12. Suppose -15 = 12*s - 3. What is the remainder when 84 is divided by b(s)?
24
Let c(s) = -s**3 + 11*s**2 - 4*s - 7. Let i(k) = 0 - 7*k - 18*k + 0*k - 25 - 17. What is the remainder when i(-8) is divided by c(10)?
52
Let t = 2720 + -1346. Suppose t*g - 120 = 1366*g. What is the remainder when 109 is divided by g?
4
Suppose 5*h + 1599 = 2*z, 2*z + 1480 = -5*h - 13