
10
Suppose 4*r - 22*s - 127 = -19*s, 123 = 4*r + s. Calculate the remainder when r is divided by 17.
14
Let x(q) = 4*q**2 + 2*q - 18. Calculate the remainder when x(4) is divided by 2*7*1/1.
12
Suppose -5*v + 3*z = -663, -27*v = -23*v + 4*z - 524. Calculate the remainder when v is divided by 19.
18
Suppose -32*z + 376 = -30*z + 2*k, 0 = 4*z - 5*k - 779. Calculate the remainder when z is divided by 9.
2
Let u(i) = -9*i + 4. Let o be u(-2). Let l = o + -15. Suppose -4*c = -l*c + 69. Calculate the remainder when c is divided by 14.
9
Let h = -265 - -535. Calculate the remainder when h is divided by 25.
20
Suppose -2*c = 18 - 332. What is the remainder when c is divided by 20?
17
Let r = -27 - -31. Suppose -g + 5 = 0, r*i = 4*g - 2*g + 22. Calculate the remainder when (i - 5) + 27 + 0 is divided by 11.
8
Suppose 2*p + 0 - 6 = 0. Suppose 2*h + p*v - 8 = 12, -4*v + 20 = 2*h. Calculate the remainder when 18 is divided by h.
8
Suppose -3*s + 21 + 12 = 3*z, -s - 1 = 0. What is the remainder when 287 is divided by z?
11
Let n(t) = -4*t**2 - 3*t + 3. Let r(p) = -8*p**2 - 7*p + 5. Let u(w) = 5*n(w) - 3*r(w). Calculate the remainder when u(-3) is divided by 8.
2
Let p = -345 + 578. Calculate the remainder when p is divided by 60.
53
Calculate the remainder when 35 - (-4 - (-6 + 4)) is divided by 16.
5
Suppose -v = -0*v - 16. Let z = 0 - 24. Let m = 30 + z. What is the remainder when v is divided by m?
4
Let k(h) = -13*h - 222. What is the remainder when 119 is divided by k(-18)?
11
Suppose s = 4, t + 0*t = -2*s + 13. Suppose 5*l - 3 = 7. Suppose 0 = -v - 4*g - 7, -l*v = 3*v - 3*g - 80. What is the remainder when v is divided by t?
3
Suppose -3*c + 23 = 2*y, -5*y + 2*y - 3*c = -27. Suppose -y + 2 = -u. Suppose -2*k + 2*f = -u*f - 22, -3*f = 0. Calculate the remainder when 21 is divided by k.
10
Suppose 97*q = 105*q - 48. Let s(h) = -3. Let a(b) = b - 2. Let l(y) = -2*a(y) + 3*s(y). Calculate the remainder when q is divided by l(-4).
0
Let z = 758 - 506. What is the remainder when z is divided by 23?
22
Suppose -4*z - 1 = 3*r, 5*z = -0*z - 2*r + 4. Let y be (-144)/(-10) - z/5. Suppose 3*h - 10 - y = 0. Calculate the remainder when 21 is divided by h.
5
Calculate the remainder when (-28)/(-42) - 2164/(-3) is divided by 43.
34
Suppose 289 = 22*u - 393. What is the remainder when 152 is divided by u?
28
Let f be 2*8/10*10. Suppose -l = -3*d - 5, -4*l + 5*d = -50 + f. Let y(w) = w**2 - 6*w - 13. Calculate the remainder when y(l) is divided by 15.
12
Calculate the remainder when 535 is divided by (-786)/(-18)*3 - -3.
133
Let m(h) = h**2 + 5*h - 1. Let q be m(-6). Let c = 45 + -19. Suppose -c + q = -x. What is the remainder when x is divided by 6?
3
Suppose -2*w - 35 = -69. What is the remainder when 75 is divided by w?
7
What is the remainder when (4437/(-6))/17*(-4)/2 is divided by 43?
1
Suppose -2*n - w = -6*n + 353, -n + 74 = -5*w. What is the remainder when n is divided by 9?
8
Let f(s) = -2*s**2 + 18*s - 12. Let x be f(8). Suppose -x*p - 17 = -5*p. What is the remainder when 33 is divided by p?
16
Let m = -446 + 465. What is the remainder when 62 is divided by m?
5
Let o(d) = 72*d**3 + d**2 + 2*d - 3. Calculate the remainder when o(1) is divided by ((-4)/(-8))/((-1)/6) - -22.
15
Let j(u) = 8*u**2 + 9*u - 14. What is the remainder when j(3) is divided by (-806)/(-18) + (-12)/(-54)?
40
What is the remainder when 119 is divided by 151/5 + 1/(-5)?
29
What is the remainder when (-84)/(-16)*88/6 is divided by 10?
7
Let p(l) = -l**3 - 12*l**2 - 13*l - 25. Let t be p(-11). Let q be t + -1*(-4 - -51). Calculate the remainder when 42 is divided by (30/q)/((-2)/50).
12
Suppose 350 = l + 4*o, 2*l - 5*l + 1043 = 5*o. Calculate the remainder when l is divided by 35.
31
Suppose 3*m = -f + 149 + 48, 154 = 2*m - 5*f. What is the remainder when m is divided by 17?
16
Let n(g) = g**2 - 10*g - 4. Let z = 2208 + -2169. What is the remainder when z is divided by n(11)?
4
Suppose -5*q = -25, -z = 2*q - 5 - 6. Suppose -2*d + 1 + z = 0. Suppose x = 5 - d. Calculate the remainder when x is divided by 3.
1
Suppose -229*h = -227*h - 1086. Suppose 4*c - 147 = -w, -h = -5*w + c + 171. Calculate the remainder when w is divided by 24.
23
What is the remainder when (261/36)/((-3)/(-36)) is divided by 49?
38
What is the remainder when 223 is divided by (-65)/6*(-4 - 2)?
28
Let k be 4 + ((-227)/2 - 1/2). Let t = -53 - k. Calculate the remainder when 170 is divided by t.
56
Suppose g = 3*u - 81, -3*u - u = -4*g - 284. Let k = -55 - g. Let a(o) = 2*o - 5. What is the remainder when k is divided by a(6)?
4
Suppose 20*y = 139 + 101. Suppose 2*s - 196 = -0*s + 2*k, -k = 3*s - 278. What is the remainder when s is divided by y?
10
Let k = -116 + 320. Let d = -119 + k. Let c = -50 + d. What is the remainder when c is divided by 9?
8
Suppose -24*x + 2*k - 45 = -25*x, 0 = 3*x - 5*k - 102. Let b = 253 + -139. What is the remainder when b is divided by x?
36
Let p(c) = -c**3 - 9*c**2 + 7*c - 4. Let j be p(-10). Suppose j = 2*k + 4. Suppose -3*s + k = -46. Calculate the remainder when s is divided by 5.
4
Let a = -54 - -93. Suppose -d + 2*l + 137 = 2*d, d - a = -l. What is the remainder when d is divided by 4/6 - 62/(-6)?
10
Let a = -2 - -11. Suppose -8 = 7*t - a*t. What is the remainder when 15 is divided by t?
3
Let w be (-6)/(6/(-3) + 0). Let d = 49 + -43. Let p = d + w. Calculate the remainder when p is divided by 3.
0
Let k = -18 + 10. Let m(o) = -7*o - 9. Let z be m(k). Suppose 5*a + l = 256, -a + 4*l = -0*a - z. What is the remainder when a is divided by 18?
15
Suppose s - o = 2*o - 18, -3*s - 3*o = 18. Let p = -5 - s. Suppose 6*b = b, -64 = -p*r - 3*b. Calculate the remainder when r is divided by 6.
4
Let f(v) = -38*v + 471. Calculate the remainder when 59 is divided by f(12).
14
Suppose 5*c = v - 28, 2*c = 4*c + 4. What is the remainder when 60 is divided by v?
6
Let d(w) = 21*w**2 - 4. Let z be d(2). Let o = z - 25. Calculate the remainder when o is divided by 19.
17
Let n be 22/4 - 12/8. Suppose z - v + n = -3*v, -16 = 4*v. Calculate the remainder when 11 is divided by z.
3
Let c(f) = f**3 - 30*f**2 + 99. What is the remainder when c(30) is divided by 31?
6
Suppose -16*z + 38901 = 7845. What is the remainder when z is divided by 36?
33
Let t(n) = n**3 - 65*n**2 - 205*n + 165. Calculate the remainder when t(68) is divided by 34.
29
Let p = 668 + -434. Calculate the remainder when p is divided by 51.
30
Suppose -3*r + 561 = -5*m, 567 = 2*r + r - 3*m. Calculate the remainder when r is divided by 39.
36
Suppose 0*m - 3*m = -9. Let t = m + -1. Suppose -2*k + 74 = t*h + 2*k, 2*k = 3*h - 135. What is the remainder when h is divided by 11?
10
Let w(r) = -7*r + 6*r**2 - 3 - 4*r + 15*r. Let u = 68 - 12. Calculate the remainder when u is divided by w(2).
27
Let v = -9 - -13. Suppose v*i = -3*q + 119, -i + 6*q + 47 = q. Calculate the remainder when 93 is divided by i.
29
What is the remainder when (((-76)/8)/19)/(1/(-1276)) is divided by 128?
126
Let z(c) = 24*c + 296. Calculate the remainder when z(11) is divided by 51.
50
Let l(b) = -b**2 + 32*b - 98. Calculate the remainder when l(23) is divided by 38.
33
Suppose 5*d + 25 = 2*k, 3*k - 40 = -5*d + 10. Let u(l) = -18*l - 3. What is the remainder when u(-4) is divided by k?
9
Let m = 2 - -3. Let g(s) = 4*s - 7. What is the remainder when 23 is divided by g(m)?
10
Let v be (0 - 2)/((-2)/3). Suppose -s + v*s = 6. Calculate the remainder when 62 is divided by (11 - (-1 + -1)) + s.
14
Suppose 86 = 2*z - 0*z. Let h = -15 + z. Calculate the remainder when h is divided by 15.
13
Let y(b) = -b**2 - 11*b + 27. What is the remainder when y(-8) is divided by 22?
7
Calculate the remainder when (-3)/5 - 39225/(-375) is divided by 21.
20
Suppose -21*p + 31*p - 160 = 0. Calculate the remainder when 246 is divided by p.
6
What is the remainder when ((-16)/(512/24))/(2/(-296)) is divided by 60?
51
Suppose 0*v = 4*v - 52. Let o = -47 + 55. Calculate the remainder when v is divided by o.
5
Let j(y) = -50*y - 941. What is the remainder when 227 is divided by j(-19)?
2
Let c(f) = -f**3 - 3*f**2 + f + 292. Calculate the remainder when c(0) is divided by 93.
13
Let b = -2 + -2. Let a(d) = 4*d**2 + d. Let l be a(b). Suppose l = -7*z + 10*z. What is the remainder when 39 is 