is the remainder when 31 is divided by (-18)/q - 122/(-16)?
7
Let y(r) = 27*r - 134. What is the remainder when y(16) is divided by 61?
54
Let k = -15 + 18. Suppose 5*x = -k*p + 64, -36 = -x - x + 4*p. Let u = 8 + x. Calculate the remainder when 65 is divided by u.
21
Let d be (32/12)/(-2 - (-19)/9). Suppose d*o = 28*o - 104. What is the remainder when o is divided by 7?
5
Suppose 24 - 87 = -7*l. Suppose 5*a = l*a - 216. Suppose -d + a = d. What is the remainder when d is divided by 16?
11
Suppose -2*i - 15 = -5*i. Suppose 4*o + 25 - 4 = i*d, 0 = 5*d + 4*o - 29. Calculate the remainder when 7*(6/(-3) + 3) is divided by d.
2
Suppose -10 = -5*q, -4*d - 2*q = 3*q - 206. What is the remainder when d is divided by 43?
6
Let n = 578 + -542. Calculate the remainder when 214 is divided by n.
34
Let n be 1*1/4 + 567/(-12). Calculate the remainder when (1 - n/2)*(-6)/(-3) is divided by 10.
9
Let t(c) = c**3 - 3*c**2 + 162. Calculate the remainder when t(0) is divided by 84.
78
Suppose -5*j = -7*j - 66. Let l = j + 53. Calculate the remainder when l is divided by 7.
6
Calculate the remainder when 18 is divided by (2 + 2)/((-28)/(-70)).
8
Suppose -6*d + 78 = -3*d. Suppose 2*l = 103*o - 100*o + 159, 2*o - 294 = -4*l. Calculate the remainder when l is divided by d.
23
Suppose -88 = -5*x + 92. Let w = x + -20. Suppose -3*i - w = -43. What is the remainder when i is divided by 3?
0
Suppose 0 = 5*w + 3*g - g - 70, 0 = -w - 3*g + 27. Let h = 53 + -103. Let s = -30 - h. What is the remainder when s is divided by w?
8
Suppose 5*k - 4271 + 871 = 0. Let c = -256 - k. Calculate the remainder when 82 is divided by 1/5 - c/45.
19
Suppose -4*b = 2*j - 106, -6*j + 3*j + 180 = -b. Calculate the remainder when j is divided by 10.
9
What is the remainder when ((-658)/35)/((16/20)/(-4)) is divided by 28?
10
What is the remainder when 1/3*33 + (5 - 0) is divided by 3?
1
Let p(x) = -x**3 + x**2 - 2*x - 1. Suppose 4*u = -2*n + 3*n + 119, -4*u + 113 = n. Calculate the remainder when u is divided by p(-2).
14
Suppose -5*h = -u + 4 - 90, 0 = h - 4*u - 2. What is the remainder when 555 is divided by h?
15
Suppose -2*n + 4 = -n, -l + 3*n + 45 = 0. Let i(g) = g**3 - 9*g**2 + 11*g - 12. Calculate the remainder when l is divided by i(8).
9
Suppose 0 = -4*o - 2*o. Suppose -l - 1 = o, -4*y + 27 = -l - 6. Calculate the remainder when 55/1*(-4)/(-10) is divided by y.
6
What is the remainder when (1 - 2)/((-6)/7608) is divided by 31?
28
Suppose -5*k = -2*a + 43, -2*a - 4*k + 66 = -4. Suppose 5*h - r - a = 0, h + 2*r + 3 = -0*h. What is the remainder when 7 is divided by h?
2
Suppose 3*s + m - 422 = 0, s - 119 = 4*m + 13. Suppose 9*u - s = 4*u. Calculate the remainder when u is divided by (0 + -1)/1*-10.
8
Let i = 42 - 63. Let w = -253 - -285. Let m = i + w. Calculate the remainder when 32 is divided by m.
10
Let j(z) = 3*z - 29. Let d be j(14). Calculate the remainder when 37 is divided by d/(-1 + (-4 - -6)).
11
Suppose 0 = -5*k + 3*j + 305, -5*k - 3*j = -k - 217. Let v = k - 49. Calculate the remainder when 26 is divided by v.
8
Let s = 4 - -14. Let o = -563 - -843. Suppose 0 = 7*f - 11*f + o. What is the remainder when f is divided by s?
16
Let w = 122 + 6. Calculate the remainder when w is divided by 13.
11
Let u(y) = 70*y - 208. What is the remainder when u(5) is divided by 18?
16
Let j(r) = -r + 1. Suppose -m = 6*m - 154. Let g = 25 - m. Calculate the remainder when j(-4) is divided by g.
2
Suppose -4*s = -20, -3*s = b - 11 - 17. Let q(n) = n**3 + 2*n**2 - 3*n + 6. Let o be q(5). Let i = o - 116. What is the remainder when i is divided by b?
11
Let k(j) be the second derivative of -j**5/20 - 3*j**4/4 - j**3/6 - j**2/2 - 7*j. Suppose 4*v = 57 + 31. What is the remainder when v is divided by k(-9)?
6
Suppose -y = 6 - 5. What is the remainder when 0*(-5)/10 + (40 - y) is divided by 22?
19
What is the remainder when 76 is divided by 1/(-1)*(-17 + -1)?
4
Suppose -118*p + 117*p + 86 = 0. Calculate the remainder when p is divided by 35.
16
Let f = -1 + 1. Let u(w) = -12*w**2 + 22*w**2 - 9*w**2 + w + 15. What is the remainder when 29 is divided by u(f)?
14
Suppose -7*o + 725 = -2*o. Calculate the remainder when o is divided by 50.
45
Let p = 15 + -12. Suppose p*n - 20 = 25. Calculate the remainder when n is divided by (-6)/12 + (-18)/(-4).
3
Suppose 5*x - q = 3366, 241*x = 244*x - 4*q - 2023. What is the remainder when x is divided by 45?
43
Suppose -5*v + 30 = 4*i - 89, 0 = -3*v - 15. Calculate the remainder when 69 is divided by i.
33
Let c be 3 + (123/(-328))/((-2)/16). Let o(s) = 217*s**2 - 1. Let h be o(1). Suppose -2*k - h = -c*k. What is the remainder when k is divided by 14?
12
Let s(h) = -9*h - 3. Let c(v) = -5*v - 1. Let a(n) = -7*c(n) + 4*s(n). Suppose 6 - 18 = g. Calculate the remainder when a(g) is divided by 5.
2
Let f = 256 + -246. Calculate the remainder when 18 is divided by f.
8
Suppose 0 = 4*a - 71 + 47. What is the remainder when 15 is divided by a?
3
What is the remainder when 87 is divided by (8/3)/((-13)/(-39))?
7
Suppose -1533*o = -1520*o - 4888. What is the remainder when o is divided by 42?
40
Suppose -9*u + 129 = -6*u. Suppose v - 7 = -2*c, 4*v + v = 15. Calculate the remainder when u is divided by (-2 - -4*6)/c.
10
Suppose -3*p + 5*k = 13, p + 0*p - 5*k + 21 = 0. Suppose -254 = -3*z + s, -5*z - 186 = -7*z + p*s. Calculate the remainder when z is divided by 14.
13
Suppose 0 = -6*a + 10*a - 112. Let s = -7 + a. What is the remainder when 83 is divided by s?
20
Let x be 2 - (-1 + 0/1). Suppose x = m - 21. Suppose 2*g - 4*d - 86 = 70, -g = d - 66. Calculate the remainder when g is divided by m.
22
Suppose 8*p - 4*p = -4*u + 16, u = 5*p - 8. Calculate the remainder when (u + -2 - 1)/(6/(-306)) is divided by 18.
15
Let v(m) = 11*m - 13. Let z(r) = -9 + 11 - 53 + 20*r + 25*r. Let l(w) = 21*v(w) - 5*z(w). Calculate the remainder when l(13) is divided by 21.
18
Suppose -122 = -2*s + 4*v, 0*s = -5*s - 3*v + 240. Let y = -34 + s. Suppose 6*f - 2*f - 24 = 0. What is the remainder when y is divided by f?
5
Suppose g - 8*h + 4*h = 243, 228 = g - h. Calculate the remainder when g is divided by 75.
73
Let o = 266 + -110. Suppose 4*v + o = 4*u, u = 5*v - 0*v + 19. Suppose -6*r + r = 3*m - 78, 4*r - 3*m - 57 = 0. What is the remainder when u is divided by r?
14
Suppose -y = -4*y + 12. Suppose 4*f - 70 = 9*f. What is the remainder when y/f + (-380)/(-7) is divided by 14?
12
Let i(d) = -5*d**3 + 5*d**2 + 3*d - 6. What is the remainder when i(-3) is divided by 21?
18
Let h(a) = -2*a**3 - 6*a**2 - 4*a + 2. Suppose -11*v = -3*v + 24. Calculate the remainder when 53 is divided by h(v).
11
Let x = 2 + 28. Suppose 3*h - x = 5*d, -3 = -h + d + 3*d. Let r = h - 5. What is the remainder when r is divided by 4?
2
Suppose 3*j - 4*t - 125 = 0, -4*t = 4*j - 5*t - 145. Let z = -19 - -8. Let r = -2 - z. Calculate the remainder when j is divided by r.
8
Suppose 32 = 21*u - 19*u. What is the remainder when 63 is divided by u?
15
Let a = 184 - 37. What is the remainder when a is divided by 3?
0
Calculate the remainder when 180 is divided by 96/1*1/(-2 - -3).
84
What is the remainder when 59 is divided by 270/18 + 10/2?
19
Let r(m) = 2*m**2 - 25*m - 10. Let c be r(13). Suppose 2*t + t = -c*o + 33, -12 = -4*t. Calculate the remainder when 68 is divided by o.
4
Let n(s) = s**3 - 15*s**2 - 34*s + 38. Calculate the remainder when n(17) is divided by 25.
13
Let o be 1576/10 + 6/15. Let v = o + -105. Calculate the remainder when v is divided by 11.
9
Let h(s) = 2*s - 7*s + 4 + 6*s. Suppose 0*j - 108 = -3*j. What is the remainder when j is divided by h(15)?
17
Let n(f) = -716*f + 4. Let t(i) = 239*i - 1. Let d(b) = 5*n(b) + 16*t(b). Let o be d(3). What is the remainder when 53 is divided by (-6)/39 - o/(-52)?
11
Let x(d) = 30*d - 84 - 2*d**2 + 48 - 3. Calculate the remainder when 74 is divided by x(13).
9
Let g be (-117)/(-9) - 4/2. Suppose 10*l + 11 = g*l. Calculate the remainder when 29 is divided by l.
7
Let l(c) = -3*c + 221. What is the remainder when l(-14) is divided by 44?
43
Suppose -g + 493 = 5*f, 2 = -3*f + 5*g + 281. Calculate the remainder when f is divided by 12.
2
Suppose -5*y - 183 = -4*t, 0*t - y - 45 = -t. Let c(a) = 2*a**2 - 20*a + 15. What is the remainder when t is divided by c(0)?
12