ppose -22*m = -27*m - 5, o - 24 = 4*m. Let j = 2 + 37. What is the remainder when j is divided by o?
19
Suppose -64*m = -70*m + 1158. Calculate the remainder when m is divided by 28.
25
Suppose 0*s - 15 = 3*s, -5*a + 35 = -3*s. Let k(j) = 3*j**3 - 6*j**2 + 4*j - 2. Let m = 225 - 197. Calculate the remainder when k(a) is divided by m.
26
Let k(h) = h**2 + 6*h + 14. Calculate the remainder when k(6) is divided by 31.
24
Let i be -62*((-6)/21 - (-274)/28). What is the remainder when 21 is divided by i/(-124) + 5/4?
3
Let g = -11 + 17. Let b(f) = -f**2 - 16*f + 38. Let s be b(-18). What is the remainder when (19 - 20)/(s/(-44)) is divided by g?
4
Let b be ((-10)/5)/(-2)*-15. What is the remainder when 57 is divided by 27 + b/25*-5?
27
Let a(b) = -6*b - 283. Calculate the remainder when 509 is divided by a(-50).
16
What is the remainder when 271 is divided by 4512/46 - -9*4/(-414)?
75
Let j(c) = 4*c**2 + c - 2. Let x be j(2). Suppose 0 = -3*m + 5*m - x. Let f = m + -5. Calculate the remainder when f is divided by 3.
0
Suppose -2*b + 4*t + 84 = 0, -5*t + 73 + 92 = 5*b. Calculate the remainder when 205 is divided by b.
25
Let x = -28 + 59. Calculate the remainder when x is divided by (-72)/21*(-182)/39 - 5.
9
Let z be 2/6 + (-236)/(-12). Let y(l) = -l**3 - 6*l**2 - 35*l - 144. Let h be y(-5). Let w = z - h. Calculate the remainder when 68 is divided by w.
12
Suppose 0*d = -56*d + 1064. Calculate the remainder when 471 is divided by d.
15
Suppose -16 = 4*q + 36. Let l = q - -38. What is the remainder when 74 is divided by l?
24
Let k be (5 + 2)*(-12)/(-21). Suppose 114 = k*j - 5*t, 6*j - 159 = j - 2*t. Let z = -12 + j. Calculate the remainder when z is divided by 10.
9
Suppose -g + 8 = -4*w, 0*g + 10 = -5*w + g. Let z(m) = 6*m - 5. Let i be z(w). Let k = i + 23. Calculate the remainder when 9 is divided by k.
3
Suppose -2*h + 2*y + 16 = 2*h, h + y + 2 = 0. Suppose -5 = -i, 12 = h*l - 5*i + 5. Let j = -15 - -108. What is the remainder when j is divided by l?
13
Suppose -197 = -2*g + 35. Let f = -79 + g. Calculate the remainder when 146 is divided by f.
35
Let c(r) = -3*r - 16. Calculate the remainder when 93 is divided by c(-14).
15
Let c(n) = 13*n**2 + 3*n + 3. Suppose -5*z + 2*z + 2*i = -3, -3*z = 5*i + 18. What is the remainder when 51 is divided by c(z)?
12
Suppose 4*y = d + 387, 11*y - 16*y + 2*d + 480 = 0. What is the remainder when y is divided by 84?
14
Suppose 2*c + 5*y = 59 + 6, 5*c - 4*y - 80 = 0. Let z(x) = -x**2 - 17*x - 5. What is the remainder when z(-7) is divided by c?
5
Let z(k) = 1 - 3 + 5*k**3 - 7*k + 21*k**2 - 7 - 4*k**3. Calculate the remainder when z(-21) is divided by 47.
44
Suppose -67 + 6 = -3*n + 4*u, -4*n - u + 56 = 0. What is the remainder when 350 is divided by n?
5
Let y(c) = -11*c - 14. What is the remainder when y(-35) is divided by 29?
23
What is the remainder when 522 is divided by (-2 - 68)*((-80)/(-25))/(-8)?
18
Let a = 10 - -19. Suppose -5*q - a + 4 = 0. Let y(u) = -10*u - 12. What is the remainder when y(q) is divided by 8?
6
Suppose 356*a - 2541 - 3511 = 0. Suppose 0 = -4*w - 22 + 254. What is the remainder when w is divided by a?
7
Let w(m) = -4*m - 17. Calculate the remainder when 90 is divided by w(-9).
14
Suppose 0 = -3*d, 8 = 2*r - 5*d + 2. What is the remainder when 28 is divided by r?
1
Let r be (1 - 11018/3) + (-1)/3. Calculate the remainder when 99 is divided by (0 + 2)/(-9*16/r).
48
Let p(n) = -n**2 + n + 4. Let z be p(4). Calculate the remainder when (90/2)/((-4)/z) is divided by 23.
21
Suppose -48 = 12*a - 15*a. Suppose 4*w - 24 - a = 0. Suppose 0*c + c - 36 = 0. Calculate the remainder when c is divided by w.
6
What is the remainder when 17 is divided by (-1)/(2 + -1) + -173 + 181?
3
Let w(y) = -y**3 - y + 2. Let m be w(0). Let q = -10 + 15. Suppose 2*f + 4*x = 96, -q*f + 3*x = -m*f - 189. Calculate the remainder when f is divided by 12.
10
Suppose n - 181 - 152 = -2*q, 831 = 5*q + 4*n. Suppose -5*o = -283 - q. Calculate the remainder when o is divided by 31.
28
Let s(t) = -t**2 - 34*t - 18. What is the remainder when s(-32) is divided by 37?
9
Let k(a) = 2*a**3 - 6*a**2 + 20*a - 45. What is the remainder when k(5) is divided by 85?
70
Let y be (156/30*-1)/(1/(-5)). Suppose 33*p - y = 31*p. What is the remainder when 20 is divided by p?
7
Let m(w) = 11*w + 1. Let p be ((-8)/12)/(1/(-3)). Suppose -4*f - 18 = -7*f. What is the remainder when m(p) is divided by f?
5
Let c(r) = r**3 - 2*r**2 + r + 29. Let b be c(0). Let u = 57 - b. Calculate the remainder when u is divided by 10.
8
Let j(l) = 42*l - 1. Let q be j(2). Suppose q = -4*i + 211. What is the remainder when i is divided by 17?
15
Let x(z) = z - 6. Let n be x(6). Let a = n + 27. What is the remainder when a is divided by (-2)/(-5) + (-1168)/(-80)?
12
Let j(g) = -11*g**2 + 11 - 4*g**3 - 4*g**3 + 7*g**3. Let h be j(-11). Let f = 16 - h. What is the remainder when 8 is divided by f?
3
What is the remainder when 35 is divided by (-12)/(-16) + (-392)/(-32)?
9
Let v(j) = j**3 + 7*j**2 - j - 8. Let g be v(-6). Let q = 36 - g. What is the remainder when 8 is divided by q?
0
Suppose 4*d + 4*j - 6 - 118 = 0, -4*d + 124 = 3*j. Let z = 63 - d. What is the remainder when 60 is divided by z?
28
Suppose 2*b - 5*v - 653 = 0, -17*v - 654 = -2*b - 13*v. What is the remainder when b is divided by 37?
33
Let z be (-4 - 6*-1) + 227. Suppose -z = -3*j + 161. Calculate the remainder when j is divided by 33.
31
Let i(l) = 36*l - 99. Suppose 2*a - 52 = -2*a. Suppose -u + 15 = -a. What is the remainder when i(5) is divided by u?
25
Suppose 0 = -2*p + p. Suppose 6 = -h - p*h. What is the remainder when 30 is divided by (11/2)/(h/(-12))?
8
Let w = 1013 + -1008. Calculate the remainder when (-2)/3 - (-118)/6 is divided by w.
4
Suppose 0 = 4*g, 3*v = g - 5*g + 72. Let z = -9 + 101. What is the remainder when z is divided by v?
20
Let h = -13 - -27. Let l = -24 - -35. Suppose -2*s = -l*s + 45. Calculate the remainder when h is divided by s.
4
Suppose -3*n + 734 = 4*j - 24, -508 = -2*n - 4*j. What is the remainder when n is divided by 63?
61
Suppose 0 = 6*n - 2*n - 20. Suppose -4*q + 7 = -53. Suppose -5*x = -q*x + 140. What is the remainder when x is divided by n?
4
Let z = -69 - -74. Suppose z*m - 53 = -g + 66, -m = 1. Calculate the remainder when g is divided by 25.
24
Let a be ((28/(-6))/2)/((-13)/(-39)). Let g(x) = x**2 - 5*x - 21. What is the remainder when g(a) is divided by 33?
30
Let k(t) = 2*t**2 - 14*t + 12. Let f be k(6). Suppose f = -a + 40 - 6. What is the remainder when 169 is divided by a?
33
Let t(w) = w**2 + 3*w + 3. Let h be t(-3). Let v = 0 + h. Suppose z = -v*k + 54, -4*k + 31 = -2*k - z. What is the remainder when 64 is divided by k?
13
Let o = -82 + 87. What is the remainder when 37 is divided by o?
2
Suppose 2*n = 7*n + 55. Let d(m) = m**3 + 11*m**2 - m + 8. What is the remainder when 40 is divided by d(n)?
2
Let u be 2/(-9) + 12019/(-63) + 4. Let r = 348 + u. What is the remainder when r is divided by 9?
8
Let y = -21 + 34. Suppose 20*b = 15*b + 2*z - 35, -b = z + 14. Let k = b + y. What is the remainder when k is divided by 2?
0
Suppose c + v = 20, 3*c - 4*v = 2*c. What is the remainder when -2*(-6)/8 + (-1071)/(-14) is divided by c?
14
Let v(k) = k**2 + 38*k + 728. What is the remainder when v(-19) is divided by 8?
7
Suppose b + 39 + 5 = i, 4*i - 2*b - 170 = 0. Calculate the remainder when 286 is divided by i.
40
Let h(z) = -z**3 - 9*z**2 - 4*z + 11. Let b be h(-9). Suppose 2*o + 10 = 4*o. Suppose 8 = o*a - b. Calculate the remainder when 32 is divided by a.
10
Let z(y) = y**3 - 6*y**2 - 5*y - 10. Let l be z(7). Suppose h + 107 = -3*m, l*m + 42 = -5*h - 86. Calculate the remainder when (-6)/2 - -1 - m is divided by 18.
17
Let b(q) = -3*q - 10. Let k = -259 + 304. What is the remainder when k is divided by b(-6)?
5
Suppose g = -g + 4. Suppose -14*i + 97 + 15 = 0. What is the remainder when i is divided by (1/g - 1)*-6?
2
Suppose 3*p - 306 = 294. Calculate the remainder when p is divided by 12.
8
Suppose 8589 = 85*v - 64*v. What is the remainder when v is divided by 82?
81
Suppose 2*f = -3*f - 225. Let m = 52 + f. What is the remainder when 9 is divided by m?
2
Suppose -15*r = 16*r - 3782. What is the remainder when r is divided by 64?
58
Suppose 2