
Suppose 1 - 4 = o, y + o - 69 = 0. Suppose -4*u + y = 4*k, 4*k - 13 + 1 = -u. Calculate the remainder when 39 is divided by u.
19
Suppose 8*j - 2909 + 469 = 0. What is the remainder when j is divided by 51?
50
Let t(w) = -w**2 - 10*w - 5. Calculate the remainder when (-24)/(-80)*20/12*(-2034)/(-3) is divided by t(-5).
19
Suppose -36*r = -19*r - 1955. What is the remainder when r is divided by 59?
56
Let p = 990 - 589. Suppose -7*z = 100 - p. What is the remainder when z is divided by 15?
13
Let g(h) be the second derivative of 59*h**5/10 - h**4/6 + 2*h**3/3 - 3*h**2/2 - 2*h + 17. What is the remainder when g(1) is divided by 24?
21
Let j(w) = -3*w + 2. What is the remainder when 237/8 - 90/(-240) is divided by j(-2)?
6
Suppose -2*t - n = 1, -3*n + 4*n = 3*t - 6. Let o(m) = 21*m**3 - 2*m**2 + m. Calculate the remainder when o(t) is divided by ((-3)/(-2))/(0 + 24/112).
6
Suppose 69 + 45 = 2*r. Suppose 0 = 2*z - 2*f - 22, -f = 3*z + 12 - r. Let d = -1 + 5. What is the remainder when z is divided by d?
2
Suppose 3*y + 2*z = 2, -2*y + 5*z = 3*y - 20. Let w be y/8 + (-3)/(-4). Calculate the remainder when 33 + w - (0 - 0) is divided by 18.
16
Let q(r) = 8*r + 4. Let n be q(-5). Let a = -9 - n. What is the remainder when 79 is divided by 534/a - 10/(-45)?
19
Suppose 16*g - 6*g - 310 = 0. What is the remainder when 56 is divided by g?
25
Suppose -6*t + 170 = -10. Suppose -4*v - t = 2. What is the remainder when 48 is divided by 14/v*-4 + 0?
6
Let t(i) = 2*i + 1. Let g(q) = 21*q + 24. Let s(p) = -g(p) + 12*t(p). Calculate the remainder when 31 is divided by s(6).
1
Let b be (-86)/(-18) - (-6)/27. Suppose -8*g = -b*g - 60. Calculate the remainder when g is divided by (12/(-4) - (6 + -2))*-1.
6
Suppose 2*n - 6*n = -348. Let p = n - 80. What is the remainder when 11 is divided by p?
4
Let f(r) = -r + 5. Let t be f(0). Suppose 0 = t*z - 12 + 2. Suppose z*o + 5*m - 18 = -2*o, m - 26 = -4*o. Calculate the remainder when 11 is divided by o.
4
Suppose -646*b + 2 = -644*b. Calculate the remainder when 166 is divided by b.
0
Let z(t) = t**3 - 6*t**2 - 5*t - 7. Suppose -v + s + 32 = 3*v, -27 = -5*v - 2*s. What is the remainder when 12 is divided by z(v)?
5
Suppose 278 = 10*x + 28. What is the remainder when 198 is divided by x?
23
Let h(l) = l**3 - 26*l**2 + 55*l - 154. Calculate the remainder when 54 is divided by h(24).
12
Let a = -79 + 112. Let f = a - -56. Suppose 0 = -3*r + 48 + 21. Calculate the remainder when f is divided by r.
20
Let x(m) = 56*m**3 + 9*m**2 - 55*m**3 - 11*m + 7 + 0. What is the remainder when 47 + (1 - 0) + 1 is divided by x(-10)?
15
Suppose r - 5*r = -m - 17, -4 = 4*m. What is the remainder when ((-3 - 0) + 1)*(-10)/r is divided by 2?
1
Let d = 2439 - 2262. Calculate the remainder when 532 is divided by d.
1
Let p = -2037 - -2072. What is the remainder when 202 is divided by p?
27
Let q be -4 - ((-4 - -3) + -3). Suppose q = -45*i + 50*i - 5. Calculate the remainder when 33 is divided by -7*i*36/(-14).
15
Suppose 37*l - 2160 = 19*l. Calculate the remainder when l is divided by 35.
15
Suppose -2081 = -27*j + 1240. What is the remainder when j is divided by 33?
24
Let v = 354 - 238. Calculate the remainder when v is divided by 26.
12
Let o = 157 - 85. Calculate the remainder when o is divided by 19.
15
Let y = -37 - -163. Suppose -2*u = -5*u - m + 126, 3*u - 3*m - y = 0. Calculate the remainder when u is divided by 15.
12
Suppose -32 = -5*o + s - 4*s, 3*s = 4*o - 4. What is the remainder when 1 - ((-12)/2 + 1) is divided by o?
2
Suppose 2*y + 8*x - 3*x - 179 = 0, 0 = -4*y + 2*x + 394. What is the remainder when y is divided by 25?
22
Suppose -193*j = -176*j - 221. Let y(u) = -5*u**2 - 11*u - 5 + u**3 + 3*u + 1. Calculate the remainder when y(7) is divided by j.
12
Let m = -145 + 276. Let s = m - 78. Calculate the remainder when s is divided by 7.
4
Let d = 22 - 8. Let k(a) = -a + 2. Suppose 5*t - 2*o + 121 = 0, -3*t + 2*t - o = 20. What is the remainder when k(t) is divided by d?
11
Suppose 5*l - 28 = -4*j, -5*j = 2*l - 3*l - 6. Suppose 0 = 3*h - l*h, g - 3*h = 13. Calculate the remainder when 35 is divided by g.
9
Let u = -1043 - -1068. Let p(o) = -o**3 - 10*o**2 - 10*o. Calculate the remainder when u is divided by p(-9).
7
Let d = 592 - 392. Suppose 15*h = 19*h - d. Suppose -5*j = -5*k + 70, -5*k + 2*j = -35 - 44. What is the remainder when h is divided by k?
16
Let p = -18 + 16. Let c be (6 + -5)/(p/(-50)). Let y = c + -15. What is the remainder when 27 is divided by y?
7
Let w = 354 + -324. What is the remainder when 55 is divided by w?
25
Let b = -6 - -12. Let i = b + 1. Let c = -27 - -54. What is the remainder when c is divided by i?
6
Let p = -107 + 186. What is the remainder when p is divided by 35?
9
Calculate the remainder when 4/6*(8316/8)/7 is divided by 34.
31
Suppose -4*u = 5*j + 130 - 519, 0 = -2*j - 5*u + 142. Let z = j - -36. Let v = 102 - 72. What is the remainder when z is divided by v?
27
Let o(q) = -158*q + 1280. Let w(d) = d**2 + 3*d + 6. Calculate the remainder when w(5) is divided by o(8).
14
Suppose 10*f - 378 = -4*f. Calculate the remainder when 108 is divided by f.
0
Let w(o) be the first derivative of -o**2/2 + o - 1. Let f(r) = -5*r + 2. Let l(i) = -f(i) + 6*w(i). Calculate the remainder when l(-7) is divided by 4.
3
Let p be ((-35)/4 - 12/(-6))*-24. Suppose k - t = 4*k - p, k + t = 54. Calculate the remainder when k is divided by 7.
5
Let v(f) = 9*f - 18. Let l be v(6). Let z(u) = -u**3 + 4*u**2 + 6*u + 1. Let r be z(5). Suppose -l = 2*k - r*k. What is the remainder when 34 is divided by k?
7
Suppose 0 = -3*p + 5*p + 4, v = 2*p + 310. Calculate the remainder when v is divided by 44.
42
Let g = 41 - -24. Calculate the remainder when g is divided by 19.
8
Suppose 3*s - 40 = 4*x, -4*x - 41 = 2*s + 19. Let c = 3 - x. What is the remainder when (44 - -1)*(79 - 78) is divided by c?
13
Let c be (8/(-5))/((-16)/40). Suppose -5*i - c*w = -43, -w - 20 = -i + 2*w. Suppose -h - 7 = -f, 5*f + h - 4 = 25. What is the remainder when i is divided by f?
5
Let h(d) = d**2 - 5*d + 20. Calculate the remainder when h(11) is divided by 23.
17
Let b(w) = -w + 12. Let r be b(6). Calculate the remainder when -2*4/8*-43 is divided by 129/6 + 3/r.
21
Let c = 15 + -13. What is the remainder when 72 is divided by c?
0
Suppose 3*k - 236 = 5*v + 104, -k - 3*v = -132. Calculate the remainder when k is divided by 61.
59
Let o(i) = -i + 156. Let a be o(0). Suppose 29*z - 31*z + 202 = 0. Let f = a - z. Calculate the remainder when f is divided by 14.
13
Let n(c) = c + 8. Let i be n(-5). Suppose 72 = 3*p - 3*y, -y = -i*p + y + 71. Calculate the remainder when p is divided by 5.
3
Suppose 0 = 4*n - 1036 + 44. Suppose -n = -4*r + 204. Calculate the remainder when r is divided by 23.
21
Suppose -3*r + 4*p = -1264, r = 4*p + 145 + 271. What is the remainder when r is divided by 71?
69
Let r = 1 + 1. Let o(f) = r*f**2 - 2 + 5 + 4 - 12*f + 2. Calculate the remainder when o(8) is divided by 22.
19
What is the remainder when 11 + 1 + 0 + 2 is divided by 5*(-2)/25*(-10 - 0)?
2
Suppose 0 = 2*g - 3*g + 109. Suppose -3*u + 45 = 5*f - 49, 0 = 4*u + 5*f - 122. Calculate the remainder when g is divided by u.
25
Let n be 22/6 + (-30)/45. Suppose 4*w + 111 = z, 8*z - 635 = n*z + 4*w. Calculate the remainder when z is divided by 12.
11
Let m(q) = q**3 + 15*q**2 + 19*q - 18. Let h(l) = -7 - 3*l**2 + 2*l**2 + 12*l + 0*l. Calculate the remainder when m(-13) is divided by h(8).
23
Let r(u) = u**3 + 6*u**2 - 13*u - 15. What is the remainder when (108 - 1) + -3 - -1 is divided by r(-7)?
24
Suppose -d - d - 42 = 4*j, -3*d + j = 84. Let z = 24 - 6. Calculate the remainder when 30 is divided by z/d + 26/3.
6
Let c(j) = j. Let x be c(-1). What is the remainder when (4*37)/((-56)/(-24) - 1) is divided by 3 + -2 + (26 - x)?
27
Suppose -9*w = -8*w + 5, 2*j = w + 15. Calculate the remainder when (-2)/2 + (25 - 6) is divided by j.
3
What is the remainder when 105 is divided by (-42)/12*(-72)/7?
33
Suppose -22*s + 217 = -619. What is the remainder when 148 is divided by s?
34
Let g(d) = 11*d - 1. Let b be g(2). Suppose -25 = -5*c - 10. Suppose -c*k - 7*s + 6 = -3*s, 4*k = -s + b. What is the remainder when 23 is divided by k?
5
Let z(g) = 137*g + 694. What is the remainder 