ate the remainder when y is divided by 21.
19
Let r = 68 + -70. Let x(q) = -42*q - 29. Suppose 0 = -2*m + 24 + 6. What is the remainder when x(r) is divided by m?
10
Let r = 340 - 305. What is the remainder when 61 is divided by r?
26
Suppose -5*w + 25 = u, -5*u = w + 3*w - 20. Suppose -t = -w*t + 24. Calculate the remainder when ((-12)/(-15))/(2/20) is divided by t.
2
Let o = 2415 - 2394. What is the remainder when 624 is divided by o?
15
Suppose 0 = s - 4*g + 4, 5*s - 2 = -g - g. Suppose s = -5*a - 36 + 361. Calculate the remainder when a is divided by 23.
19
Let z = -120 - -168. What is the remainder when 138 is divided by z?
42
Suppose 3*f + 3*u = 0, 3 - 24 = -5*f + 2*u. Let r(y) = 21*y + 12. What is the remainder when r(f) is divided by 21?
12
Let t = -513 - -562. What is the remainder when 193 is divided by t?
46
Suppose -50 = -7*f - 8. Let m(z) = 0*z**2 - 2*z + 3*z**2 + 3*z - f. Calculate the remainder when m(5) is divided by 19.
17
Suppose -63 = -3*w + 18. Suppose 14*u = 17*u - w. Let p = -22 + 46. Calculate the remainder when p is divided by u.
6
Let a(h) = h**3 - 6*h**2 + 9*h - 8. Let m = 60 - 55. Calculate the remainder when 35 is divided by a(m).
11
Suppose 392*k - 4935 = 387*k. What is the remainder when k is divided by 15?
12
Let o(r) = 3*r**2 - 44*r - 13. What is the remainder when 7 is divided by o(15)?
1
Let x(n) = 7*n**3 + 4*n**2 - 49*n - 4. What is the remainder when x(6) is divided by 40?
38
Suppose -c - 1 = -6. Let j(u) = -45*u + 3. Let h be j(-1). Suppose h = c*z - 2*z. Calculate the remainder when 47 is divided by z.
15
What is the remainder when (-509 + 2)*14/(-42) is divided by 64?
41
Suppose 5 = 3*f - 1. Suppose 67*t = 75*t - 40. Suppose t*a = 33 + f. What is the remainder when 13 is divided by a?
6
Let z(p) = -p**2 + 9*p + 11. Let o be z(8). Let a = 24 - o. Suppose 5*h = a*b + 20, -14 = -5*h - b - 0. What is the remainder when 5 is divided by h?
2
Let y(n) = -n**3 + n**2 + n + 1. Let u be y(-3). Let x = 81 - u. Calculate the remainder when x is divided by 16.
15
Let l(v) = 2*v**3 - 9*v**2 + 20*v - 30. What is the remainder when l(7) is divided by 21?
19
Let m(l) = l**2 + 19*l - 96. Calculate the remainder when m(-29) is divided by 25.
19
Let g(n) = -3*n**2 + 166*n + 38. Calculate the remainder when g(55) is divided by 83.
10
Let c(p) = -3*p**2 - 3*p - 2*p**2 - 2 + 2*p**2. Let r be c(-2). Calculate the remainder when 34 is divided by (-146)/r - (-2)/(-8).
16
Let p = 1191 + 381. Suppose -b - 3*g + 10 + 400 = 0, 4*b = 5*g + p. Calculate the remainder when b is divided by 57.
56
Suppose -5*q - 5 = -3*l, l + 3 - 6 = q. Suppose q*s + 131 = 5*o + 4*s, 3*s - 84 = -3*o. What is the remainder when 122 is divided by o?
22
What is the remainder when 44/(-132) + (457/3 - 0) is divided by 47?
11
Suppose 3*k - 535 = -4. What is the remainder when k is divided by 18?
15
Suppose 0 = -29*r + 24*r + 420. Calculate the remainder when 217 is divided by r.
49
Let u(s) = s**3 - 11*s**2 - 13*s + 15. Suppose 4*v = 5*v. Suppose v = 3*a - 4*a + 6. What is the remainder when a is divided by u(12)?
0
Suppose -x = -3, 4*c + 2*x - 233 = 265. Suppose g + 3*g = 3*n - 125, -3*n + 3*g = -c. What is the remainder when n is divided by 6?
3
Let f(b) = -2*b + 257. What is the remainder when f(43) is divided by 35?
31
Let s = 32 + -16. Let r = 77 - 50. What is the remainder when r is divided by s?
11
Suppose 3*k + 10 + 2 = 0, 3*f - 62 = -k. Let c = f - 3. Suppose 0*u = -5*u - 3*i + 62, -4*u + 4*i = -24. Calculate the remainder when c is divided by u.
9
What is the remainder when 639 is divided by 12322/305 + (-2)/5?
39
Let l(d) = 9*d**2 + 4*d - 5. Let q be l(6). Suppose -q = -2*v - 4*k + 201, -3*v + 3*k = -771. Calculate the remainder when v is divided by 53.
50
Suppose -11*z + 10*z = -155. Suppose 8*w - 3*w = z. Let f = -20 + w. What is the remainder when f is divided by 6?
5
Let t be (-3 - 2)/10*-2. Suppose -2*w + 27 - t = 0. Suppose 0 = 4*z + z - 25. Calculate the remainder when w is divided by z.
3
Let q be (69/4)/((-5)/(-40)). Suppose -q = -0*m - 3*m. Suppose 13 = -3*a + m. Calculate the remainder when 32 is divided by a.
10
Calculate the remainder when 1/14 - 22088/(-1232) is divided by ((-2)/6)/((-1)/9).
0
Let r = -244 - -271. Calculate the remainder when 31 is divided by r.
4
Let b = -5 + -19. Suppose -2*h = -5*h + 117. Let p = h + b. Calculate the remainder when 43 is divided by p.
13
Suppose -2*y = 2*o + 10, 0 = -2*o + 3*o - 2*y - 10. Suppose 2 = b + 4*k, -20 = -o*b - 2*b - 4*k. What is the remainder when 71 is divided by b?
17
Suppose -5 + 70 = 5*a. Let m = 68 - 65. Calculate the remainder when a is divided by m.
1
What is the remainder when 138 is divided by (130/(-40))/((-2)/8)?
8
Let j be (5 + -5)/(3 - 0). Suppose j = -5*y + 16 + 14. Calculate the remainder when 291/18 - (-1)/(-6) is divided by y.
4
Suppose -4*s + 62 + 30 = 0. Suppose 0 = -4*h + 5*w + 82 + 133, 0 = -2*h + 4*w + 112. Let z = h - 42. What is the remainder when s is divided by z?
7
Suppose -147 = -6*f + 243. Calculate the remainder when f is divided by 17.
14
Let u be (-91)/(-28) + (-9)/(-12) - -11. Suppose -1195 = -u*c + 50. Suppose 10 = -2*y + 52. Calculate the remainder when c is divided by y.
20
Let v be 48/20 + (-6)/(-10)*1. Suppose 3*c = 3*t + 33, c - 4*t = -0*c + 14. Suppose 0 = -v*b - 2*b + c. Calculate the remainder when b is divided by 2.
0
Let i(u) = -u**3 + 17*u**2 + 3*u - 31. Let r be i(17). Let c = -8 + r. What is the remainder when 45 is divided by c?
9
Suppose -45*q + 2678 = -32*q. Calculate the remainder when q is divided by 52.
50
Suppose -q - q - 5*r = -29, 4*q + 3*r = 51. Suppose -10*x = -9*x - 89. Suppose 4*y - x - 147 = 0. What is the remainder when y is divided by q?
11
Suppose 1503 = -36*x + 2223. Calculate the remainder when (-2)/(-6) - (-350)/3 is divided by x.
17
Let h be 2 - 6 - (-53 + -4). Suppose 3*x - 40 = h. Calculate the remainder when x is divided by 9.
4
Suppose -17*p - 580 = -22*p. Let r(k) = k**3 + k + 39. What is the remainder when p is divided by r(0)?
38
Suppose -2*d = -27*z + 25*z + 502, 0 = -2*z - 3*d + 522. Calculate the remainder when 774 is divided by z.
9
Let l = 7 + 5. Let i(u) = -7 + 8 - 10 + u**2. Calculate the remainder when l is divided by i(4).
5
Let f = -419 + 436. Calculate the remainder when 150 is divided by f.
14
Suppose 5*o + 37 = l, 0 = 2*l + 3*o + 13 - 61. Let r = -7 + l. Let i(q) = q**2 + q + 3. What is the remainder when i(-8) is divided by r?
19
Let m be (1 + 0)/(3/(-39)). Let b = m + 16. Suppose -b*x + 3*s = -6, 2*x + 3*s = 4*x - 1. Calculate the remainder when 12 is divided by x.
2
Let s(v) be the first derivative of -v**4/4 - 4*v**3 - 25*v**2/2 - 19*v - 43. Let c = -26 - -60. What is the remainder when s(-11) is divided by c?
33
Suppose -3*p - 318 = -6*p. Calculate the remainder when p is divided by 30.
16
Let m(u) = 7*u**2 - u - 2. Let o be m(-3). Suppose -s - o = -5*s. Suppose -169 = -3*c - 5*r - 0*r, -4*c + 248 = r. What is the remainder when c is divided by s?
15
Calculate the remainder when -3 + (231 - -3 - 9) is divided by 16.
14
Let k(n) = -18*n**2 + 3*n - 1. Let l be (-1 + (-3)/(-1))/2. Let x be k(l). Let q = -8 - x. What is the remainder when 22 is divided by q?
6
Suppose -104 = -3*b - 5*y, -4*y + 77 = 3*b - 26. What is the remainder when b is divided by 9?
6
Let h(x) = -75*x - 233. Calculate the remainder when h(-6) is divided by 55.
52
Suppose 0 = 43*u - 59*u + 176. What is the remainder when 32 is divided by u?
10
Suppose -2 = h + j + 7, -5*j = 15. What is the remainder when 31 is divided by 38/6*h*(-5)/10?
12
Let q be (-10)/(-20) + 3/(-12)*-18. Suppose 3*s + 6*m - 64 = 4*m, -4*s = q*m - 83. What is the remainder when s is divided by 14?
8
Let g(a) = 2*a**2 - 3*a - 28. Calculate the remainder when 232 is divided by g(6).
24
Let j be -1 + -1 + 0 - 3. Let c = 0 + j. What is the remainder when 21 is divided by c*(46/(-10) + 3)?
5
Let d = -1686 + 1708. What is the remainder when 219 is divided by d?
21
Suppose 5*m - 24 = 21. Suppose 4*i = i + m. Suppose -i*o - 8 = -5*o. Calculate the remainder when o is divided by 3.
1
Let v be 2/7 - 4/14. Suppose i - 69 = -5*l, v = 2*l + 3*l + 3*i - 77. Let b = l - -8. What is the remainder when b is divided by 6?
3
Let s(d) = 2*d**2 + 14*d - 15. Let i = 4 + -2. Calc