1*-15) + 0?
12
Let q(f) = 3*f - 46. Let v be q(16). Suppose -3*x + 4*k + 26 = 0, -v*x - 3*k + 29 = -8*k. Calculate the remainder when 13 is divided by x.
1
Let u = -488 - -518. What is the remainder when 77 is divided by u?
17
Suppose -l + 3 = -t, 3 = 2*l - 4*t - 5. What is the remainder when 39 is divided by l?
1
Let n = -2473 + 2494. Calculate the remainder when 227 is divided by n.
17
What is the remainder when 177 is divided by 39 - 25/(-30)*-6?
7
Let b = 8 + -7. Suppose q - 4*q = -3, 3*q = h + b. Calculate the remainder when h - (-4)/(8/6) is divided by 3.
2
Suppose -o = o - 34. Let k be 304 + -2 + 2/1. Suppose 0 = 4*w - k + 104. Calculate the remainder when w is divided by o.
16
Let y be (-1 - -23)*(3 - 1). Let s = -30 + y. What is the remainder when ((-52)/(-6))/((-5)/(-15)) is divided by s?
12
Calculate the remainder when 110 is divided by (1218/(-261))/(-1 - (-2)/3).
12
Let h(f) = 2*f**2 + 6*f - 87. Calculate the remainder when h(-11) is divided by 13.
11
Let l be (-7)/(-14) + 3/((-12)/(-14)). Suppose -5*c + 401 = -4*j - 160, 3*c - l*j = 343. What is the remainder when c is divided by 29?
22
Let n = 37 - 3. What is the remainder when n is divided by 2?
0
Let x be 0 + 1 - (-1 - 2)/1. What is the remainder when ((-79)/3)/(7/(-84)*x) is divided by 20?
19
Let i(s) = 3*s**2 + 13*s - 5. Let x be i(-6). What is the remainder when (-50)/(x/(-5)) - -2 is divided by 7?
5
Suppose 0 = -40*x + 5*x + 1050. What is the remainder when 200 is divided by x?
20
Suppose 2*c - 1 - 9 = 0. Suppose 5*x - c = 10. Suppose -10 = -z - 4*z, 5*z = -x*t + 79. Calculate the remainder when t is divided by 13.
10
Let w = -852 + 1078. Calculate the remainder when w is divided by 17.
5
Let p(k) = -44*k. Suppose 0 = 5*m - 5*x + 105, -x + 0*x + 43 = -2*m. Let c = -10 - m. What is the remainder when p(-1) is divided by c?
8
Let u be 37*((-1 - -1) + 1). Suppose 3*j + 4*l - 15 = -u, 5*l = 2*j + 7. Calculate the remainder when 30 - (-5)/((-10)/j) is divided by 9.
6
Suppose r = -2*p + 16, -3*r + 4*p + 48 = 8*p. What is the remainder when 108 is divided by r?
12
Let u(o) = 10*o - 32. Let c be u(-13). Let j = 250 + c. Calculate the remainder when j is divided by 18.
16
Suppose 0 = 4*y - j - 167, 58 = 3*y + 2*j - 59. Let i = y - 30. What is the remainder when i is divided by 4?
3
Let i(c) = 52*c + 631. Let a(o) = 3*o**2 + 6*o + 6. What is the remainder when a(-4) is divided by i(-12)?
2
Let p(b) = b**3 - 22*b**2 + 43*b - 15. Calculate the remainder when 2203 is divided by p(20).
43
Let i(n) = -2*n**3 - n**2 - 6*n - 4. Calculate the remainder when i(-3) is divided by 16.
11
Suppose 6*n - 2*n = -7*g + 678, 0 = 3*g + 2*n - 290. What is the remainder when g is divided by 20?
18
Let g = 20 + -16. Suppose -u + g*u - 26 = -4*a, 3*u - a = 46. Calculate the remainder when 40 is divided by u.
12
Suppose -30 = -i + 3. Suppose 27*g - 28*g + 151 = 4*w, 2*g = -4*w + 282. Calculate the remainder when g is divided by i.
32
Let u(r) = 158*r - 475. Calculate the remainder when u(14) is divided by 11.
10
Let c = -56 - -81. Let m(d) = -d**3 - 14*d**2 - 14*d - 4. Suppose 2*j = 2*s + 16, 2*j = s - 0*j + 3. What is the remainder when c is divided by m(s)?
7
Let d(s) = s**2 + 3*s + 1. Suppose 12 = 2*i - 2. Suppose -3*u + 3*w = -7*u - i, -3*w = -3*u - 21. What is the remainder when 8 is divided by d(u)?
3
Suppose -2*i + 7*q + 214 = 3*q, 0 = -7*i + q + 684. What is the remainder when i is divided by 49?
48
Calculate the remainder when ((-39)/52)/(((-21)/288)/7) is divided by 19.
15
Suppose -12*m + r = -7*m - 11976, 0 = 4*m - 2*r - 9582. What is the remainder when m is divided by 15?
10
Let x(b) = -26*b + 102. Let j be x(4). Let o(w) be the first derivative of -w**4/4 + w**3/3 + w**2 + 3*w + 2. What is the remainder when o(j) is divided by 7?
4
Suppose 0 = -2*w - 12*w + 1106. Calculate the remainder when w is divided by 24.
7
Let z(g) = g + 23. Let p be z(-27). Let s(t) = 7*t**2 + 17*t - 1. Let i(h) = h**3 + h**2 - 2*h + 1. Calculate the remainder when s(p) is divided by i(2).
7
Suppose -28 = -2*l + 4*b, -5*l + 5*b + 16 = -54. Suppose -c = -6*c + 260. Suppose j = -j + c. What is the remainder when j is divided by l?
12
Suppose -16*i + 1303 + 185 = 0. Calculate the remainder when i is divided by 37.
19
Let c(w) be the first derivative of -w**4/4 + 4*w**3 - 7*w**2/2 + 4*w + 1. Calculate the remainder when c(11) is divided by ((-15)/(-18))/(2/60).
23
Let b be (-28)/10*(1 + -6). Let g = -10 + b. Suppose t + 45 = g*t. What is the remainder when t is divided by 8?
7
Suppose 5*p + 386 = 3*j, p - 58 = -j + 68. Let c be (-2)/6 - j/(-3). Suppose -4*i + 30 = -c. Calculate the remainder when i is divided by 7.
4
Let o be -51 + (1 + 0)*2. Let j = 51 + o. What is the remainder when 2 - -1 - 2*-1 is divided by j?
1
Let a(n) = n**3 + 11*n**2 + 21*n + 99. What is the remainder when a(-7) is divided by 78?
70
Calculate the remainder when (-1 - 3)*(27 - 42) is divided by 32.
28
What is the remainder when (-691)/(-3) - (-106)/159 is divided by 66?
33
Let k = -2 - -16. Let y(q) = -10*q + 6. Let n be y(-1). Suppose 4*w - 125 = -3*j - n, 4*w + 5*j - 115 = 0. What is the remainder when w is divided by k?
11
Let a = 26 + -11. Let w be (6 + 0/(-1))*3/(-9). Calculate the remainder when (w/6*-3)/(2/86) is divided by a.
13
Let w = -58 - -48. What is the remainder when (-22)/((w/(-5))/(-6)) is divided by 445/20 + 6/8?
20
Let a(w) = -3*w + 26. Let l be a(8). Let j(r) = -r**2 + 7*r - 1. Calculate the remainder when 17 is divided by j(l).
8
Let k = 29 - 27. Suppose k*d = 40 + 36. Suppose 0*l = -3*f - l + 57, 4*l = -2*f + d. What is the remainder when 54 is divided by f?
16
Suppose -23 + 2 = -3*i - 3*r, -3*i - 5*r = -23. Let u(p) = -9*p + 70. What is the remainder when u(7) is divided by i?
1
Suppose 0*s = 4*y + 5*s - 66, -2 = s. Let l = 4 + y. Suppose 5*r - 222 = l. Calculate the remainder when r is divided by 25.
24
Let u(w) = w**3 + 10*w**2 - 11*w. Let k be u(-11). Let d = k - -76. Calculate the remainder when d is divided by 3/((-3)/13)*-2.
24
Let t(w) = -8*w + 42. Calculate the remainder when t(0) is divided by 3.
0
Let q(t) = -t**3 - 12*t**2 - 13*t - 7. Calculate the remainder when q(-12) is divided by 44.
17
Suppose -422 = -5*x - j, 2*x - 28*j + 25*j = 179. What is the remainder when x is divided by 18?
13
Let m = -4 + -18. Let u = 55 + -7. Let j = m + u. What is the remainder when 75 is divided by j?
23
Let l(i) = 189*i**2 + 39*i + 41. Calculate the remainder when l(-1) is divided by 96.
95
Let j(i) = 2*i + 5. Let h(c) be the third derivative of -c**4/24 - c**3/6 - 13*c**2. Let q(y) = h(y) + j(y). What is the remainder when 68 is divided by q(3)?
5
Suppose 126 + 204 = 5*x. Let n = x - 21. What is the remainder when n is divided by 10?
5
Let y(r) = -19*r - 62. What is the remainder when y(-6) is divided by 17?
1
Suppose -4*q + 7*a - 4*a = -131, -5*q + 161 = -a. What is the remainder when 319 is divided by q?
31
Let u(r) be the third derivative of r**4/12 - r**3/3 + r**2. Calculate the remainder when (-1)/(-7 - 291/(-42)) is divided by u(5).
6
Let g be (-3)/(9/(-12))*1. Suppose 5*b - g*f = 63, 0 = -3*b - f - f + 29. Suppose -2*r = -89 + b. What is the remainder when r is divided by 21?
18
Let f(b) = -15*b**2 - 42*b - 1. What is the remainder when 112 is divided by f(-2)?
20
Suppose -3*f - 12 = 2*b - 494, -5*f + 778 = -3*b. Calculate the remainder when f is divided by 44.
26
Suppose 2*z + 19 - 43 = 0. Suppose -z*r + 1003 = 139. Suppose 5*d - 5*u - 210 = -0*u, 0 = d - 2*u - 47. Calculate the remainder when r is divided by d.
35
What is the remainder when 467 is divided by (-54)/(-567) - (-1508)/42?
35
Let l(x) = x**3 + 24*x**2 - 4*x - 70. Calculate the remainder when l(-24) is divided by 10.
6
Let i(d) = 8*d**2 + 9*d + 17. Calculate the remainder when i(-8) is divided by 46.
43
Let p be ((-2)/3)/(2/15). Let c be -3 - p*(1 - 0). Suppose -8 = -2*v, k = c*k - 5*v + 7. Calculate the remainder when 23 is divided by k.
10
Let j(y) = 4*y + 6. Let d be j(-3). Let o(m) = m + 11. Let t = -32 - -45. What is the remainder when t is divided by o(d)?
3
Suppose 5*i - 4*r = i - 16, -2*r = 5*i + 27. Let g(d) = 2*d**2 - 12*d - 1. Let x be g(7). Let m = x + i. What is the remainder when 23 is divided by m?
7
Let a be 2 + (-15)/(-1) + 1. Suppose -2*v