ulate the remainder when r is divided by 24.
22
Suppose 2*p = -p + 3. Suppose -2*n + 5*j = -5*n + 53, 0 = 5*n + 3*j - 67. What is the remainder when 6*p/(-3)*-26 is divided by n?
8
Let g be (-15)/(-10)*(-100)/3. Let m = 66 + g. Calculate the remainder when 75 is divided by m.
11
Suppose 0 = -106*p + 123*p - 1258. Calculate the remainder when 364 is divided by p.
68
Suppose 0 = 8*y - 9*y + 3. Suppose -y*i = -0*i - 186. Calculate the remainder when i is divided by 21.
20
Suppose -7*k + 2*k - 15 = 0. Calculate the remainder when 43 + -49 + 58 + 1 is divided by 16 + k + 2 + -1.
11
Suppose -3*v - 729 = -5*w, 4*w + 5*v + 0*v = 598. Calculate the remainder when w is divided by 48.
3
Suppose 0 = 87*u - 60*u - 11151. Calculate the remainder when u is divided by 138.
137
Let s = -319 + 422. Calculate the remainder when s is divided by 35.
33
Suppose 19*y + 12*y - 271 = 504. What is the remainder when y is divided by -14*2/(-16)*4?
4
Let h(k) = -k + 1. Let r(o) = -4*o. Let n be r(-2). Let m be h(n). Let t = m - -38. What is the remainder when t is divided by 17?
14
Let p(z) = -z**3 + 0*z + 3*z + 5 - 3*z**2 - 3. Suppose 80*r - 82*r + 44 = 0. Calculate the remainder when r is divided by p(-4).
4
Let u(j) = -j**3 + 6*j**2 - 5*j + 3. Let h be u(5). Let n = h + -20. Let d = n + 111. Calculate the remainder when d is divided by 24.
22
Suppose 6 = 3*x - 3, 37 = 2*f + x. Suppose -6*i - 10 + 64 = 0. Calculate the remainder when f is divided by i.
8
Suppose 0 = -b - 5 + 8. Suppose t + b*s - 2*s - 75 = 0, 2*s = 2*t - 146. Calculate the remainder when t is divided by 38.
36
Let t(n) = -n - 5. Let k be t(-8). Let j = k + -1. Calculate the remainder when 5 - (12/2 + -4) is divided by j.
1
Suppose 0 = -16*w + 263 + 457. Calculate the remainder when 98 is divided by -15*(w/25)/(-3).
8
Let l(m) = -m**2 + 9*m + 86. What is the remainder when 41 is divided by l(13)?
7
Let j be (-1)/4 - 575/20. Let o(w) = 3*w**2 - 9*w + 7. Let g be o(6). Let m = j + g. What is the remainder when m is divided by 12?
8
Suppose 0*j + 3*c - 42 = -3*j, -2*c - 24 = -2*j. Calculate the remainder when 22 is divided by j.
9
Let m(l) = -27*l + 9. Let z = 13 + -3. Calculate the remainder when m(-1) is divided by z.
6
Suppose 3*b + 4*t = -20, -5*b - t = -3*t - 10. Suppose -4 + b = -d. Calculate the remainder when 14 is divided by d.
2
Suppose c - 138 = 2*w, -410 = -7*c + 4*c + 5*w. Calculate the remainder when c is divided by 44.
42
Let k = -116 - -141. What is the remainder when 86 is divided by k?
11
Let v = 218 + -170. Calculate the remainder when v is divided by 4/(-14) + 955/35.
21
Let g be 45/(-6)*6/9. Let n(h) = h**3 + 6*h**2 - 2*h - 12. What is the remainder when n(g) is divided by 13?
10
Let f be 1/(9/(-2)) + (-258)/54. Let c(r) be the first derivative of -3*r**2/2 - 11*r - 1. Calculate the remainder when 11 is divided by c(f).
3
Suppose -s + 24 = 2*s. Let w(l) = -l**2 - 7*l + 9. Let m be (0 - 1) + (-20)/4. What is the remainder when w(m) is divided by s?
7
Suppose 0 = -p - 5*t + 220 - 74, 3*t = 4*p - 515. What is the remainder when p is divided by 25?
6
Let f(s) = -s**3 - s**2 + 4*s. Suppose 0*y - 21 = -7*y. Suppose -h = -3*j + 50, 5*j + y*h = -2*h + 90. What is the remainder when j is divided by f(-3)?
5
What is the remainder when 0 + 183*48/18 is divided by 14?
12
Suppose 0 = -3*n, 740 = 4*d + 11*n - 12*n. What is the remainder when d is divided by 10?
5
Let s = 10 + -18. Let x(j) be the first derivative of j**3/3 + 2*j**2 + 8*j + 242. What is the remainder when x(s) is divided by 21?
19
Let f(v) = 4*v**3 - 10*v**2 - 2*v + 2. Let u(q) = q**3 - q**2 - 1. Let g(t) = -f(t) + 3*u(t). Calculate the remainder when g(6) is divided by 22.
21
Suppose 6*i - 18 - 72 = 0. Suppose k + h = -4*h - i, h + 4 = 0. Suppose -14 = -5*r + 2*y, -y = 2*r + 2*y + 2. What is the remainder when k is divided by r?
1
Suppose 2*n = c - 70 + 28, 4*c - n - 154 = 0. What is the remainder when c is divided by ((-10)/(-3))/((-1)/(-3))?
8
Suppose 0 = -4*z + 4*x + 40, 0*z - z - 3*x = -2. Let v be (0 + 6)/(z/40). Suppose 0 = -4*r + 3*r + v. Calculate the remainder when r is divided by 8.
6
Let g(k) = -4*k - 25. Let u be g(-8). Let r(b) = b + 24. What is the remainder when r(u) is divided by 16?
15
What is the remainder when 158 is divided by -7 - (-106 - (-4 - (-5 - -5)))?
63
Let i be (0 + 4 - -41) + 4. Let m = i - 42. What is the remainder when m is divided by 2?
1
Suppose k - 3*k - 8 = 4*u, k + 5*u + 13 = 0. Suppose k*m + 6 = 20. What is the remainder when (2/(-3))/(2/(-144)) is divided by m?
6
Suppose w - 12 = 4*w, -3*x + 2*w + 104 = 0. Calculate the remainder when 1114/9 + 3 - (-8)/36 is divided by x.
31
Let z be 6/4*340/30. Suppose 3*i = -4*y - 10, y + 3*y - 70 = 5*i. Let u = i + z. Calculate the remainder when 11 is divided by u.
4
Let p(g) = 2*g**2 + 15*g + 51. What is the remainder when 45 is divided by p(-4)?
22
Let h = -225 - -319. Calculate the remainder when h is divided by 85.
9
Suppose 11*j = 148 + 94. What is the remainder when 56 is divided by j?
12
Suppose 4*m - 1088 = 4*p, 9*m + 1330 = 14*m + 5*p. What is the remainder when m is divided by 16?
13
Let x be 18/22 - 4/(-22). Let h(d) = 9*d**2 - 8*d**2 + x + 7 - 7*d. What is the remainder when 45 is divided by h(8)?
13
Let k(o) = -2*o**2 - 63*o - 11. Calculate the remainder when k(-20) is divided by 21.
8
Let q be (-3 + 161/21)*-63. Let l = 312 + q. Let u = 36 + -26. What is the remainder when l is divided by u?
8
Let c = -58 + 62. Let u(k) = -k**3 + 25*k**2 + 2*k - 35. What is the remainder when u(25) is divided by c?
3
Calculate the remainder when ((-75735)/(-18))/33 + (-3)/(-2) is divided by 30.
9
Let t(u) = u**3 - 20*u**2 + 4*u - 43. What is the remainder when 176 is divided by t(20)?
28
Let j be 3/(0 + (-9)/(-6)). What is the remainder when 1/5*-81*30/(-6) is divided by j*((0 - 0) + 7)?
11
Suppose 80 = 2*p + 76. Let o(l) be the second derivative of -l**3/6 + l**2/2 - l. Calculate the remainder when p is divided by o(0).
0
Let g(q) = -q**3 + q**2 + 5*q + 74. What is the remainder when 590 is divided by g(0)?
72
Let k(r) = -7*r**2 + 55*r - 10. Suppose 0*f - 38 = 2*f. Let h = 106 - f. What is the remainder when h is divided by k(7)?
29
Let r(o) = -12*o**3 + 1. What is the remainder when (273/52 + 3/6)*4 is divided by r(-1)?
10
Let f(o) = o**2 - 2*o + 9. Suppose -50 = -q - i, -4*q + i - 27 + 217 = 0. Calculate the remainder when q is divided by f(4).
14
Let x(v) = 233*v**2 - v - 2. Calculate the remainder when x(-3) is divided by 75.
73
Suppose -185 = -5*f - 3*m, f = 6*m - 5*m + 29. Calculate the remainder when 134 is divided by f.
32
Suppose -4 = 3*f - 4*z, -2*z = f - 5*z + 8. Suppose -59 = -5*g + f*c + 298, 342 = 5*g + c. Calculate the remainder when g is divided by 35.
34
Let z(i) = -2*i + 12. Let t be z(-4). Suppose 1 = 2*u - r, 5*u = -4*r + 15 + t. Calculate the remainder when 11 is divided by u.
2
Suppose 394*x - 462 = 383*x. What is the remainder when 81 is divided by x?
39
Let d(c) = -2*c + 4*c - c. Let f be d(5). Suppose -o = f*v - 19, v + 1 = -5*o + 24. What is the remainder when 7 is divided by v?
1
Let c = -25 - -25. Calculate the remainder when c + 3 - (-4 - 31) is divided by 20.
18
Let x = 69 - 34. Suppose -16 = -3*a + x. What is the remainder when 49 is divided by a?
15
Let a be 55/(-110)*(1 - (6 - 1)). Let s = 13 + a. What is the remainder when s is divided by 7?
1
Let n = 390 - 263. Suppose 5*i - 8 = -5*v + n, 5*v - 111 = i. Suppose -31*a + 73*a - 1424 = 26*a. What is the remainder when a is divided by v?
20
Let j(z) = -z**3 + 5*z**2 + 7*z - 1. Let a be j(6). Let x(t) = 9*t + 7. Calculate the remainder when x(a) is divided by 27.
25
Let d(z) = z**2 + 30*z + 2. Suppose -4*x - 4 + 32 = 0. Calculate the remainder when d(-31) is divided by x.
5
Let m = -558 - -582. Calculate the remainder when 359 is divided by m.
23
Let m(p) = 2*p + 12. Let r be m(-4). Suppose r*j - 25 = 83. Calculate the remainder when j is divided by 4.
3
Suppose 486 = 9*f - 1935. What is the remainder when f is divided by 51?
14
Suppose 0 = 8*s - 7*s - 3. Suppose 107 = 4*m + 35. What is the remainder when (s - (-1 - 1))*7 is divided by m?
17
Suppose 2*c - 5*r - 18 = 6, 0 = -3*c + r + 10. Let i be (-10)/4*(2 + -4). What is the remainder when 2/i + (-138)/(-30) is divided by c