11, 4*r = -5*t + 679. Calculate the remainder when t is divided by 42.
9
Suppose 5*t - 430 = f, -3*t = 5*f - 27 - 231. Calculate the remainder when 345 is divided by t.
1
Suppose -2*y = -0*y - 92. Calculate the remainder when y is divided by (-2 + 3)*-2 + 30 + -3.
21
Let d(v) = v**2 + 85. Calculate the remainder when d(18) is divided by 18.
13
Suppose 4*t = 215 + 1081. Suppose 0 = -4*m + 4*r + t, -2*r = -3*m - 59 + 302. What is the remainder when m is divided by 28?
25
Suppose x + 6 = -2*p + 3*x, 0 = -5*p + 2*x. Suppose 4 = p*k - 14. Calculate the remainder when k is divided by 3*(-1 + (-8)/(-3)).
4
Suppose 117 = -5*d - 8. What is the remainder when 51 is divided by (2 - (-9)/(-6))*(1 - d)?
12
Let b(y) be the first derivative of y**2/2 + 63*y + 5. Calculate the remainder when b(-16) is divided by 12.
11
Calculate the remainder when 10/8*(-29)/(29/(-72)) is divided by 31.
28
Suppose 2*p - 2*x = -4, -5*p - 4*x + 29 = -2*p. Suppose -p*a + 80 = a. Calculate the remainder when 78 is divided by a.
18
Let a(v) = -2*v**3 - 41*v**2 - 22*v + 13. Calculate the remainder when a(-20) is divided by 27.
26
Suppose -9*d + 74 + 70 = 0. What is the remainder when 1118 is divided by d?
14
Let o = 126 - 37. Let c be o/3 + (-8)/(-6). What is the remainder when 37 is divided by c/3 - 4/12?
7
Let j(n) = 2*n**3 - 6*n**2 + 48*n - 145. Calculate the remainder when 206 is divided by j(4).
48
Suppose 4*b - 11 = -4*k + 45, 5 = -5*k. Calculate the remainder when 343 is divided by b.
13
Let z = 200 - 64. What is the remainder when z is divided by 36?
28
Let r(c) = -c**3 - 4*c**2 + 12*c + 8. Let m be r(-6). Calculate the remainder when 73 is divided by 5/(20/m) + 23.
23
Let s(q) = -3*q**3 - 3*q**2 + q + 2. Let g be (16/(-24))/((-4)/6). Let p = g + -3. What is the remainder when 32 is divided by s(p)?
8
Let q be 6/39 - (-986)/13. Suppose 2*d = -3*f + 41 + 15, 5*f - q = d. Let v(s) = -5*s - 3. Calculate the remainder when v(-6) is divided by f.
11
Suppose 0 = -o - 7 - 0. Let g be (14/o)/((-4)/58). Let p = g + -13. Calculate the remainder when 45 is divided by p.
13
Suppose 0 = -z - h + 5*h, -5*z + 2*h - 36 = 0. Let g = 23 + z. What is the remainder when 103 is divided by g?
13
Suppose 0 = 3*x + 5*h + 5, -6*h + 10 = -h. Let k be (x/(-4))/((-4)/(-80)). Let n = 33 - k. Calculate the remainder when 15 is divided by n.
7
Suppose -6*w + 16 = -14. Calculate the remainder when 92 is divided by w.
2
Suppose -76 = 153*j - 155*j. What is the remainder when 214 is divided by j?
24
Suppose 0*s - 12 = -s. Suppose 4*a - 44 = -h, -5*h + a + 220 = -a. Calculate the remainder when h is divided by s.
8
Let g(l) = -2*l + 6*l - 8*l - 11. Let h be g(-5). Suppose 29 - h = 5*z. What is the remainder when 13 is divided by z?
1
Let a = 5 + -7. Let w be (1 - a)*(-24)/(-18). What is the remainder when w/2 + (-4 - -31) is divided by 15?
14
Suppose 0 = -4*q - i + 330, -2*q + 57 = 3*i - 113. What is the remainder when q is divided by 42?
40
Suppose 3*u - 15 = 0, 0 = r - 4*u - 0 - 111. What is the remainder when r is divided by 47?
37
Suppose 5*w = -2*b + b + 10, -4*b - 4*w = -72. Calculate the remainder when 116 is divided by b.
16
Let y = 631 - 597. Calculate the remainder when 96 is divided by y.
28
Let b(u) = 5*u - 24. Suppose 27 - 11 = 2*c. What is the remainder when 76 is divided by b(c)?
12
Let v = -941 + 968. Let c be (-4)/((-1)/2*2). Suppose c*f - 45 = -2*a + 9, 2*a + 81 = 5*f. What is the remainder when v is divided by f?
12
Let q be (-3)/(-6*(-1)/(-4)). Suppose -15 = -3*u + q*x - x, 0 = -u + 4*x - 6. Suppose 0 = -4*v + 12 + 80. What is the remainder when v is divided by u?
5
Suppose -2*s + 48 = -22. Suppose -7 = -2*w + s. Suppose 8*q - 492 = 2*q. What is the remainder when q is divided by w?
19
Let p(h) = 2*h**2 + 8*h - 22. Let y = 77 + -87. Calculate the remainder when p(y) is divided by 17.
13
Suppose 2*s + 64 = 12*j - 9*j, 0 = -3*s + 4*j - 97. Let c(l) = 8*l**2 - l - 1. Let p be c(-2). Let q = p - s. What is the remainder when q is divided by 23?
22
Suppose 4*v = 4*i + 8, -4*v + 4 = -2*i - 4. Suppose -2*c - v*c = -116. What is the remainder when 84 is divided by c?
26
Let k = -6 - -13. Suppose 0 = 15*t - 16*t - 14. Let m = 41 + t. What is the remainder when m is divided by k?
6
Suppose 5*r = 5*p - 955, p - 3*r = -3*p + 759. Suppose 2*s = -s + p. Calculate the remainder when s is divided by 16.
14
Let l = 28 - 25. Suppose -3*p = -12 - l. Suppose -38 - 32 = -p*x. What is the remainder when 41 is divided by x?
13
Suppose -183*a + 201*a = 522. What is the remainder when 68 is divided by a?
10
Let r be 0 + 1 - (-8 + 6). Suppose 0*s = -s + r, 0 = t + s - 7. Calculate the remainder when -2 - (-4)/(4/15) is divided by t.
1
Suppose 18 = 2*c - 6. Calculate the remainder when 44 is divided by c.
8
Let i = -53 - -51. What is the remainder when 258*(i/(-20) + 12/30) is divided by 11?
8
What is the remainder when 121 is divided by 1 - 6/10 - (-3080)/175?
13
Let y = -22 - 32. Let f = y + 62. What is the remainder when 10 is divided by f?
2
Suppose 6076 = 146*z - 132*z. Calculate the remainder when z is divided by 109.
107
Let x be 17/5 - 6/15. Suppose 13 = -k - 5*b, 1 + 2 = x*k + b. Suppose -k = -t + 5. Calculate the remainder when 12 is divided by t.
5
Suppose -6 + 426 = 4*x. What is the remainder when 109 is divided by x?
4
Suppose -2 + 16 = -a. Let k = a - -12. Let v(d) = 3*d**2 - d - 2. What is the remainder when 21 is divided by v(k)?
9
Suppose -3*p - 6*j + 6 = -2*j, j = -4*p + 21. Suppose 3 = w - p. What is the remainder when 26 is divided by w?
8
Suppose 7*h - 4*h + 273 = 0. Let w = 15 + -11. What is the remainder when (26/h)/(2/(-42)) is divided by w?
2
Suppose -256 - 320 = -6*g. Let k = -89 + g. What is the remainder when k is divided by 5?
2
Let x be 3*(-8)/12 + -1. Let y(s) = -11*s - 7. What is the remainder when -3 - (-56 - (0 - 3)) is divided by y(x)?
24
Let y(j) = 5*j**2 + 2*j - 2. Let k be y(1). Suppose -95 = -5*c + 5*u, c - 15 = -2*u - k. Calculate the remainder when 45 - -1*(2 + -1) is divided by c.
14
Let r(x) = -8*x + 167. Calculate the remainder when r(14) is divided by 29.
26
Suppose 3608 = 4*v - 40*w + 41*w, -2*w + 8 = 0. What is the remainder when v is divided by 82?
81
Let k(t) = 16*t - 18. Suppose -5 = -h - 4*h. Calculate the remainder when k(5) is divided by -2*h*(1 - 9).
14
Let m(l) = -4*l + 16. Let n be m(3). Suppose -84 = -2*r - 2*r + 2*k, -4*r + 72 = n*k. Calculate the remainder when 58 is divided by r.
18
Let s = 6 + 35. Suppose 3*y - 45 = -0. Calculate the remainder when s is divided by y.
11
Let v = -13 - -16. Let l = 2 - v. What is the remainder when l*3*1088/(-51) is divided by 17?
13
Let v(u) = -2*u + 6. Let f = -10 + 21. Let b be v(f). Calculate the remainder when 2 is divided by (-4)/28 - b/14.
0
Let g = -223 - -250. Let i(w) = -7*w + 6. Let m be i(-5). Suppose -2*h + m - 8 = -c, 4*h - 5*c - 75 = 0. Calculate the remainder when g is divided by h.
12
Suppose -4*s - 1246 = -11*s. Calculate the remainder when s is divided by 10.
8
Suppose 6*w = 2*w - 24. Let a = w - -11. What is the remainder when 13 is divided by a?
3
Suppose 2*w - 4*v + 34 = 98, 2*w + 5*v - 109 = 0. What is the remainder when w is divided by 22?
20
Let x(c) = -c**3 + 8*c**2 - 5*c + 4. Let d(u) = -4*u. Let n be d(-9). Let i = n - 22. Calculate the remainder when x(5) is divided by i.
12
Suppose 10*i - 5*i - 10609 = 2*l, 8507 = 4*i + 5*l. Calculate the remainder when i is divided by 25.
23
Suppose -2*p + 8*w - 6*w = -48, -4*w = -8. Calculate the remainder when 187 is divided by p.
5
Suppose -5 = -5*m, -v = -m + 2*m - 19. Suppose 3*z - 276 = -z. Calculate the remainder when z is divided by v.
15
Suppose -6*y + 51 = -3*y + 4*z, z = 2*y - 34. What is the remainder when 18 is divided by y?
1
Let o = -123 - -247. Suppose -2*p - n = -3*n + o, 0 = p + n + 72. Calculate the remainder when (-3)/(-1) - (p - -3) is divided by 23.
21
Let p = 105 - 108. Suppose 0 = z + 2*z - 39. What is the remainder when ((-4)/p)/((-8)/(-132)) is divided by z?
9
Suppose -2*o = -5*w - 3, 2*w + 3 = 3*o - 7. Suppose -o*n = 4*n - 168. What is the remainder when 59 is divided by n?
17
Calculate the remainder when ((-2788)/(-85))/(4/10) is divided by 24.
10
Let c be ((21/6)/7)/((-3)/(-438)). Suppose u - c = -4*w, 4*u - 37 = w + 204. What