7. Let p = -9 + y. What is the remainder when p is divided by z?
2
Suppose 37*v - 1361 = 3671. Calculate the remainder when v is divided by 22.
4
What is the remainder when 317 is divided by -3 - -13 - (-52 + 42)?
17
Let h(n) = 21*n**2 - n + 3. Let v be h(-3). Suppose 5*i - 70 = v. Calculate the remainder when i is divided by 14.
11
Let w = 309 - 230. What is the remainder when w is divided by 15?
4
Let g(n) = n**3 - 8*n**2 - 48*n + 10. Calculate the remainder when 316 is divided by g(12).
6
Let k(d) = 3*d - 1. Let b = -58 - -57. What is the remainder when k(5) is divided by 3/b*(-3 + 1)?
2
Suppose 0 = -3*r + i + 224, -5*r + 7*r = 2*i + 152. Calculate the remainder when 286 is divided by r.
64
Let u(z) = z - 8. Let r be u(14). Suppose 12 = -7*y + 3*y. Let j = r + y. What is the remainder when 4 is divided by j?
1
Let i(j) = 16*j - 129. Calculate the remainder when i(16) is divided by 44.
39
Let m(o) = -o**3 + 20*o**2 - 16*o - 33. Calculate the remainder when m(18) is divided by 110.
107
Calculate the remainder when (-3*(2 + -3))/(39/286) is divided by -1 + (12 - -3) + -2.
10
Suppose 13 = -343*b + 344*b. Calculate the remainder when 271 is divided by b.
11
Suppose 0 = -329*w + 328*w + 77. Calculate the remainder when 440 is divided by w.
55
Let o(l) = 6*l + 29. Let a(t) = 2*t**3 - 4*t**2 - t**3 - t**2. Calculate the remainder when o(13) is divided by a(6).
35
Suppose 7*m + 71 = 8*m - 4*v, -320 = -4*m + 4*v. Calculate the remainder when 1409 is divided by m.
81
Suppose 8*t - 3*t = 535. Let f = 168 + -132. What is the remainder when t is divided by f?
35
Let z(m) = -m**2 - 3*m + 7. Let n be z(-5). Let i be (-1)/n - (-14)/(-6). Calculate the remainder when 27 is divided by (-3)/i*(-140)/(-30).
6
Suppose 179*u - 22318 + 7100 = 12527. Suppose -12 = -2*s + 12. Calculate the remainder when u is divided by s.
11
Let u(z) = 5*z**2 + 4*z + 3. Let s be u(-1). Suppose -s*j + 3*j + 20 = 0. Calculate the remainder when 77 is divided by j.
17
Let l(n) = -4*n - 24. Let z be l(-7). Suppose z*y - 120 = y. Calculate the remainder when y is divided by 14.
12
Let c = -191 + 299. Calculate the remainder when 86 is divided by c/5 - (32/20 + -2).
20
Let s be (-2 + 6)/((5 + -2)/6). Suppose -s*d + 5*d = -57. Calculate the remainder when 189 is divided by d.
18
Suppose 5*n - 75 = -5*u, 3*u + 0*u + 4*n = 41. What is the remainder when ((-33)/1)/(6 + (-84)/12) is divided by u?
14
Suppose -6*f + 2*f + 2*a = -230, 4*a = f - 68. Let t = f - 40. What is the remainder when 47 is divided by t?
15
Let h be ((-28)/(-35))/(2/50). Suppose 5*k = -0*k + 5*u, h = 4*k + u. Suppose 3 + 5 = k*w. Calculate the remainder when 4 is divided by w.
0
Let d(a) = -a**2 - 9*a + 8. Let n = 0 + -8. Let v(y) = 31*y - 1. Calculate the remainder when v(2) is divided by d(n).
13
Let l(h) = -3*h - 55. Let n be l(13). Let z = n - -103. What is the remainder when 35 is divided by z?
8
Let b(s) = s**3 - 17*s**2 + 2*s + 18. Calculate the remainder when b(17) is divided by 16.
4
Let f(r) = -2*r + 76. Calculate the remainder when f(-5) is divided by 23.
17
What is the remainder when 93 is divided by 57 - (-5)/((-20)/(-14))*-2?
43
Calculate the remainder when 15/(-6) - -3 - (-670)/4 is divided by 77.
14
Calculate the remainder when (30/(-4)*1)/((-21)/700) is divided by 11.
8
Suppose 4*m + 32 = 188. Calculate the remainder when 544 is divided by m.
37
Suppose -35 - 10 = -q. Let c(m) = 11*m. Let b be c(1). Let a = b + 1. What is the remainder when q is divided by a?
9
Let h = 400 + -172. What is the remainder when h is divided by 23?
21
Let i be 1/(-8) + 3/24. Suppose 0 = -i*u + 2*u - 24. Calculate the remainder when 43 is divided by u.
7
Let w(y) = y**2 + 47*y + 32. What is the remainder when 251 is divided by w(-47)?
27
Let w(z) = -z**2 - 7*z - 10. Let p be w(-4). Suppose 0*o = -p*o + 56. Calculate the remainder when o is divided by 6.
4
Suppose -4*h - 624 = 648. Let l be h/(-8) + 2/8. Suppose 5*x + 3*j - 42 = 24, 0 = 3*x + 2*j - l. Calculate the remainder when 35 is divided by x.
11
What is the remainder when (40/(-50))/(2/(-2845)) is divided by 38?
36
Suppose 4*p + w + 1 = 0, 5 - 3 = -2*w. Suppose p = -l + 12 - 1. Calculate the remainder when 1 + 2 + 0 + l is divided by 4.
2
Let g = -95 + 127. Let w = 249 - 92. Calculate the remainder when w is divided by g.
29
Let n be (8/6 - 2)*15/(-10). Suppose -d = 1 + 2. Calculate the remainder when 1 is divided by d + 2/n - -2.
0
Suppose 4*o - 9*o + 735 = 0. Calculate the remainder when o is divided by 38.
33
Suppose 4*v = 4*n + 140, 0 = -3*v - n - 40 + 129. Suppose -5*z = -4*l - 19, 5*z - 86 + v = -5*l. Calculate the remainder when z is divided by 3.
1
Suppose -5*d + 110 - 80 = 0. What is the remainder when 41 is divided by ((-56)/(-48)*-4)/((-2)/d)?
13
Suppose -7 + 117 = 5*j. Suppose 3*f = 5*f + 40. Let h = f - -28. Calculate the remainder when j is divided by h.
6
Let j(m) be the second derivative of m**5/20 - m**4/3 + m**3/2 + 3*m**2/2 + 56*m. Let k be 1*2 - (-2)/2. Calculate the remainder when 3 is divided by j(k).
0
Let u(f) = 2*f - 7. Let i be u(7). Suppose i*d = 9*d - 20. Suppose -4*h = -d - 18. Calculate the remainder when h is divided by 3.
1
Let r(c) = -c**2 - 9*c - 10. Suppose 3*q = -x + 3*x - 40, 2*q = x - 18. Let t = x - 31. Calculate the remainder when 27 is divided by r(t).
7
Let c(y) = y**2 - 16*y - 70. What is the remainder when c(21) is divided by 34?
1
Let r = 46 - 33. Let p = -455 - -477. What is the remainder when p is divided by r?
9
Suppose -2*h - 7 = -47. Calculate the remainder when h is divided by ((-1288)/230)/((-4)/10).
6
Let x(r) = 0 + r**2 + 6 + 5 - 2 + 6*r. What is the remainder when 44 is divided by x(-7)?
12
Suppose 2*p = -65*y + 69*y - 1308, 3*y + p - 971 = 0. Calculate the remainder when y is divided by 3.
1
Let a(n) = 4*n**3 - 65*n**2 + 21*n - 60. Let m(i) = -99*i - 1. Calculate the remainder when m(-1) is divided by a(16).
18
Let n(b) be the second derivative of 7*b**5/20 - b**4/4 + b**3/2 - 2*b**2 - 4*b. Calculate the remainder when n(2) is divided by 12.
10
Let h(p) = 3*p**2 + 77*p + 65. What is the remainder when 389 is divided by h(-25)?
14
Let s = -12 + 14. Calculate the remainder when 4/s*2 + 50/2 is divided by 4.
1
Calculate the remainder when (-6)/24 - 105/(-4) is divided by 4.
2
Let u(f) = f + 29. Let g be u(-15). Let c be (-2)/9 - g/(-63). Suppose -9 = -2*o - 3, -h + 4*o + 1 = c. Calculate the remainder when h is divided by 8.
5
Suppose -1605*b = -1609*b + 536. What is the remainder when b is divided by 56?
22
Let l = 867 + -821. Calculate the remainder when 597 is divided by l.
45
Let y(l) = -26*l - 6. Suppose 0 = -957*a - 554 + 10589 + 31116. Calculate the remainder when y(-5) is divided by a.
38
Let v(f) = 2*f**3 - 6*f**2 + f + 2. Let y be v(4). Suppose -z = -3*q + y, 2*q = 5*q + 3*z - 30. What is the remainder when q is divided by 5?
2
Let z(d) = d**3 + 23*d**2 - 12*d - 228. Calculate the remainder when 280 is divided by z(-23).
40
Suppose -11*p = 11 + 11. Calculate the remainder when 19 is divided by p + 1 + 5 + -3 - -5.
1
Suppose -5*d + 1 = -19. Suppose -32 = -2*x - 3*w - 0, 3*x = -3*w + 42. Calculate the remainder when 3/5 - (-64)/x is divided by d.
3
Let b(m) = -6*m + 7 + 4 - m**3 + 3 - 8*m**2. Calculate the remainder when 34 is divided by b(-7).
6
Let l(v) = -40*v**3 - v**2 - 4*v - 4. What is the remainder when l(-1) is divided by 23?
16
Let v(f) = f**2 + 3*f + 6. What is the remainder when 1260/72 - 6/(-4) is divided by v(-3)?
1
Let c(l) = 3*l + 16. Calculate the remainder when (2 + 15/(-6))/((-1)/12) is divided by c(-4).
2
Let q(m) = 2*m + 12. Calculate the remainder when 120 is divided by q(8).
8
Let m(u) = u + 5. Suppose 2*k = 5*i - 76 - 114, 105 = 2*i + 5*k. Calculate the remainder when i is divided by m(6).
7
Let w = 1959 - 1893. What is the remainder when w is divided by 15?
6
Let w = 718 - 501. What is the remainder when w is divided by 37?
32
Let r(d) = -15*d - 21. What is the remainder when r(-5) is divided by 6?
0
Let h = 509 - 493. What is the remainder when 3 + -2 + -1 + 45 is divided by h?
13
Let b(d) = -d**2 - 3*d + 3. Suppose -4 = 4*y - 8*y, 3*z + 2*y + 4 = 0. Let x be b(z). Suppose x*f - 202 = -72. What is the remainder when 75 is divided by f?
23
Suppose -44 = b + 12. Let f = -32 - b. Suppos