. Suppose 98 = s - u + 10, q = 5*s - 4*u. Calculate the remainder when s is divided by 22.
20
Suppose 2 = -z, 5*z + 1 + 14 = p. Suppose c = p*c - 8. Suppose c*s - 15 = s. What is the remainder when 59 is divided by s?
14
Let b(r) = -48*r - 500. Calculate the remainder when b(-25) is divided by 39.
37
Let u(b) = 116*b**2 - 2*b + 1. Let d be u(1). Suppose -y - 149 - 196 = -3*k, 5*y - d = -k. What is the remainder when k is divided by 20?
15
Let n(a) = a**2 - 38*a + 186. Calculate the remainder when 35 is divided by n(5).
14
Let o(x) = 2*x + 1. Let y be o(1). Let f be -33*4*1/(-6). Suppose y*n - l = 66, -f = -n + l - 3*l. What is the remainder when 42 is divided by n?
20
Let p = 12 + 6. Calculate the remainder when 339 is divided by p.
15
Suppose 3*j - 8 = 7, 2*a - 2*j = -4. Suppose -a*f - 4*u = -59, -f + 3*u = -18 - 19. Calculate the remainder when f is divided by -4*(105/(-50))/(12/10).
4
Suppose -2*r - 3*r = -315. Calculate the remainder when r is divided by 33.
30
Calculate the remainder when (-5)/(((-12)/(-8))/(-15 - 0)) is divided by 17.
16
Suppose -16*w = -19*w + 72. What is the remainder when 308 is divided by w?
20
Suppose 2*x - 10*p - 76 = -7*p, -5*x - 5*p + 190 = 0. Calculate the remainder when x is divided by ((-40)/12)/(1/(-3)).
8
Let a(v) = -59*v - 11. What is the remainder when a(-1) is divided by 10?
8
Let i be (24/(-15))/((-6)/15). Suppose -g - i*g = 0. Suppose -3 = -d - b, 21 = d - g*b - 5*b. What is the remainder when 17 is divided by d?
5
Suppose 9 - 15 = -h. What is the remainder when 425/7 - (-4)/14 is divided by 95/h + (-20)/(-120)?
13
Suppose 3*a - 5*u - 176 = -a, 3*a - 4*u - 131 = 0. Let r be (2/7)/((-4)/(-364)). Let n = r + -1. What is the remainder when a is divided by n?
24
Suppose 0 = -5*y - 7*k + 4*k + 175, 140 = 4*y + 2*k. Calculate the remainder when 589 is divided by y.
29
Let i(h) = h**3 + 9*h**2 - 4*h - 19. Let j(o) = o**2 - 4*o - 21. Let q be j(6). What is the remainder when 65 is divided by i(q)?
14
Suppose 0*m + 4 = -h + m, 5*h + 5*m = 20. Suppose 2*s = -h*c - c + 29, 5*s = -4*c + 68. Calculate the remainder when 29 is divided by s.
13
Suppose 3*j = 8*j - 380. What is the remainder when j is divided by 7 - 6*(-6)/6?
11
Suppose 0 = 5*w - 2*w - 141. What is the remainder when w is divided by 19?
9
Suppose -w + 3*w - 8 = 0. Suppose 3*s = 2*x + 116 - 20, 2*s - 72 = w*x. What is the remainder when s is divided by 11?
8
Let f be -1 - 2/(-3)*(15 + -9). Suppose -72 = -f*l - l. Suppose -5*j + k + 157 = 0, -j = 2*j + 2*k - 89. Calculate the remainder when j is divided by l.
13
Let t be 2/1*15/10. Suppose h + 2*f = 31, t*h = 4*f + 44 + 29. Let o = h + -5. Calculate the remainder when o is divided by 14.
8
Let a = -23 - -12. Suppose 3*h = 2*t - 0*t + 96, 5*h = 4*t + 158. Let l = h + a. Calculate the remainder when l is divided by 12.
11
Suppose 0*r - 25*r + 1025 = 0. Calculate the remainder when r is divided by (-3)/4 - (-94)/8.
8
Let n(w) = -5*w**2 + 8*w - 5. Let f be n(4). Let g = f - -78. Calculate the remainder when (2 + -1)*g/1 is divided by 9.
7
Suppose 4*s = 2*m + 24, -2*s - m + 12 = -s. Suppose -3*k = -s*k + 225. Suppose 12*p = 13*p - 24. Calculate the remainder when k is divided by p.
21
Let w(x) = x**2 + 7*x. Let m be w(-8). Suppose -100 = -m*t - 2*t. Calculate the remainder when 69 is divided by t.
9
Suppose 0 = -3*r + 4*r - 3. Let y(h) = 4*h**2 + 11*h + 16. Calculate the remainder when y(-6) is divided by -2 - 1*(r - 29).
22
Let n(w) = -w**3 + 23*w**2 - 21*w + 46. Calculate the remainder when 155 is divided by n(22).
19
Suppose 3*b - 2*b - 2*l - 15 = 0, 0 = 5*b + l - 75. Let v = -52 - -125. What is the remainder when v is divided by b?
13
Suppose 74*y = -826 + 5044. Suppose 2*f + f = 45. Calculate the remainder when y is divided by f.
12
Suppose -4*j + 37 = 2*r + 3*r, -8 = -4*r + 4*j. What is the remainder when 21/7 - r*-15 is divided by 27?
24
Let b = 5 - 3. Suppose y - 3*l = -2*l + 17, -y = -b*l - 16. Calculate the remainder when 31 is divided by y.
13
Let h(t) = 8*t - 36. Let m be h(7). Suppose u = -q + 6*u + 23, 4*q = 2*u + m. Calculate the remainder when 25 is divided by q.
1
Suppose -h - 5*f - 79 = h, -3*f - 169 = 5*h. Let n = 39 - h. What is the remainder when n is divided by 25?
21
Let a(g) = -6*g - 4. Let m be a(8). Let b = -37 - m. What is the remainder when b is divided by 8?
7
Suppose 0 = -55*h + 51*h + 716. Suppose 0 = l - 7*z + 3*z - h, -2*l + 340 = -2*z. Calculate the remainder when l is divided by 56.
55
Calculate the remainder when 307 is divided by 282/42 + -7 + (-1082)/(-14).
76
Suppose 4*v - 545 = -5*m, 2*m + 0*v = 2*v + 200. Suppose -3*x + 10*x = m. What is the remainder when 38 is divided by x?
8
Suppose 0 = -s + 2*t + 15, -2*s - 3*t - 29 = -4*s. Let b = 21 - s. What is the remainder when 62 is divided by b?
6
Let n(x) = -x**2 - 9*x - 6. Calculate the remainder when n(-7) is divided by 8.
0
