127 - 103. Calculate the remainder when 478 is divided by i.
22
Let g(d) = -5*d + 2. Let b = -95 - -95. Calculate the remainder when 13/((-39)/(-162)) - (-4 - b) is divided by g(-2).
10
Let k = 6 - 0. Suppose -3*x = -12 - k. What is the remainder when x is divided by (18 + -5 - 7) + -2?
2
Suppose -5*m + 4*y + 37 = 0, 2*m - y - 16 = -0*y. What is the remainder when 88 is divided by m?
7
Let f = 1 + 5. Suppose 4*y - 22 = f. Let a = -80 - -85. Calculate the remainder when y is divided by a.
2
Let g = -16 - -19. Suppose -g*p - 4*m + 120 = 48, -p - 2*m = -26. Calculate the remainder when 1 - 1 - (-51 + -7) is divided by p.
18
Let g be 326/9 - 4/18. Let j(y) = 50*y - 132. Let c be j(-18). Calculate the remainder when c/(-27) - 8/g is divided by 10.
8
Let h = -270 - -289. What is the remainder when 170 is divided by h?
18
Suppose 4*x + 2*x = -18. Calculate the remainder when 46 is divided by 3/x - 5/((-5)/18).
12
Suppose 58*q - 36*q - 2530 = 0. Calculate the remainder when q is divided by 41.
33
Let u = -3 - -19. Calculate the remainder when u is divided by (14 + -36 - -16) + 10 + 1.
1
Suppose 33 = 3*p - 6. Let i = -4 - -12. Suppose -i = 15*f - 16*f. Calculate the remainder when p is divided by f.
5
Let p(u) = u**2 + 6*u + 25. Let k be p(-4). Let f = k - -39. Calculate the remainder when f is divided by 20.
16
Calculate the remainder when 69 is divided by (-6)/(-2) - (-13 + 5 + -47).
11
Let y = -452 - -547. What is the remainder when y is divided by 3?
2
Let i(s) = 10*s**2 + 7*s + 4. Calculate the remainder when 103 is divided by i(-2).
13
Let s be 28/(-126) + 2452/18. Let f = s - -12. Calculate the remainder when f is divided by 50.
48
Suppose 0 = -7*q + 1875 - 265. Calculate the remainder when q is divided by 39.
35
Let k(c) = 2*c**3 - 2*c**2 - 10*c + 2. Let l be k(4). Let s = l - 34. Calculate the remainder when 71 is divided by s.
23
Suppose 5*u - b = u + 4, -2*b = -5*u + 5. What is the remainder when (-2 + -1 - -69) + 3 - u is divided by 24?
20
Let x = 2209 - 1941. What is the remainder when x is divided by 13?
8
Let k = 203 - 136. Let t = 136 - k. Calculate the remainder when t is divided by 10.
9
Suppose 2*c + 3*c - 425 = 0. Let v(g) = g**3 + 13*g**2 - 45*g - 412. Calculate the remainder when c is divided by v(-14).
19
Let c(n) = -n**3 - 6*n**2 - 5*n - 15. Suppose 12 = 4*t - 4. What is the remainder when c(-6) is divided by t?
3
Let z = -24 - -117. Let b = 42 + z. What is the remainder when b is divided by 28?
23
Suppose 3*t - 2*a - 35 = 0, 0*t + t + 5*a - 6 = 0. Let l(r) = -4*r + 3*r - 6 + 31. What is the remainder when l(t) is divided by 8?
6
Suppose 0*q = -2*q - 2*a + 16, 0 = -3*a + 12. Suppose -x - q*x = -115. Let z(d) = -90*d. Calculate the remainder when z(-1) is divided by x.
21
Suppose y - 4*w = 532, 4*y + 457 = -3*w + 2509. Calculate the remainder when y is divided by 14.
12
Let m = -17 + -7. Let q = 61 + m. What is the remainder when 146 is divided by q?
35
Suppose 0 = -r - 5*z - 16, -5*z + 3*z = 4*r - 8. Suppose 2*a - 4 = -3*u + a, 5*u = -3*a + 12. What is the remainder when r is divided by 1 - (u - 3 - -2)?
0
Let t be (-3 - (1 + 0))/(-1). Suppose -2*f = 16*f - 1368. Suppose 0 = 4*q - 2*p + 5*p - 76, -t*q = -5*p - f. Calculate the remainder when q is divided by 10.
9
Let v(f) = -f + 16. Let d be v(-14). Calculate the remainder when 119 is divided by ((-10)/3)/((d/(-6))/45).
29
Let q = 1708 - 1342. What is the remainder when q is divided by 50?
16
Suppose 0 = -6*k + 58 + 32. What is the remainder when ((-2)/(-3))/((-8)/(-1236)) is divided by k?
13
Let r = 53 - 33. Let n = -40 + 78. Calculate the remainder when n is divided by r.
18
Suppose t + 0 - 6 = 0. Suppose d = t*d - 15. Suppose w - d*u - 14 - 5 = 0, -3*w - 2*u = -46. Calculate the remainder when 46 is divided by w.
14
Suppose 3*u = -19 - 5. Let g(f) = -f**2 - 12*f - 11. Let y be g(u). Let d = 64 - y. What is the remainder when d is divided by 15?
13
Let z(j) = -j**3 + 6*j**2 - 4*j - 2. Calculate the remainder when z(4) is divided by (4 + -3)/(10/50).
4
Let t(i) = -8*i - 17. Let g be t(4). Let z = g + 76. Calculate the remainder when z is divided by 10.
7
Suppose 3*d = 226*l - 230*l + 2, 5*l + 5*d = 0. What is the remainder when 1/(-4) - 58/(-8) is divided by l?
1
Let i = 471 + -426. Let x = -32 + 4. Let h = x + i. Calculate the remainder when h is divided by 5.
2
Suppose -4*s + 4*o + 52 = -0*o, 0 = 3*s + 5*o - 15. Calculate the remainder when 56 is divided by s.
6
Suppose -329*t + 319*t + 4170 = 0. Calculate the remainder when t is divided by 10.
7
Let d = -13 + 10. What is the remainder when 111 is divided by d + 29 + 2 + 0?
27
Let a = 242 - -28. Calculate the remainder when a is divided by 129.
12
Let w = -37 + 94. Let j = w - 17. What is the remainder when j is divided by 14?
12
Let i(d) = 2*d**2 - 70*d + 68. Let k(b) = -b**2 + 34*b - 34. Let l(u) = -4*i(u) - 9*k(u). What is the remainder when 43 is divided by l(25)?
7
Let p = -340 + 430. Calculate the remainder when 265 is divided by p.
85
Let u(o) = -6*o - 163. Let h(z) = -z**3 - 5*z**2 + 2*z + 0*z**3 + 5 - 3*z. What is the remainder when u(-30) is divided by h(-5)?
7
Suppose 0 = 2*r - 5*f - 42, -57 + 15 = -2*r + 4*f. What is the remainder when 102 is divided by r?
18
Let m(l) = -l**3 - 4*l**2 - 5*l - 6. Let g = 22 + -18. Suppose o + 3*k - 57 = 0, -7 = -3*k - g. Calculate the remainder when o is divided by m(-4).
12
Let l(m) = -m**2 - 15*m - 9. Let f be l(-5). Let w = f + 0. Calculate the remainder when 118 is divided by w.
36
Suppose -4*c = -3*r + 540, 5*r + c - 872 = 5. Calculate the remainder when r is divided by 18.
14
Let k = -13 + 13. Suppose -3*f - 4*c + 53 = -0*f, k = -c - 4. Let a = -13 + f. What is the remainder when a is divided by 6?
4
Let m = -24 - -69. Suppose 19*i = 9*i + 230. What is the remainder when m is divided by i?
22
Let r(k) = k + 28. Let h = -145 - -213. What is the remainder when h is divided by r(-4)?
20
Let n(f) = -12*f + 111. Calculate the remainder when 551 is divided by n(-6).
2
Let f(o) = -3*o**2 + 2*o. Let d be f(-2). Suppose 11*l - 4*l - 63 = 0. Calculate the remainder when (d/(-3))/(2/6) is divided by l.
7
Suppose -21444 = -11*b - 8057. Calculate the remainder when b is divided by 37.
33
Suppose 2*f + 526 = -5*k, -4*f = k - 2*f + 102. Calculate the remainder when 105 is divided by (-57)/(-38)*k/(-3).
52
Let n = 142 - -82. Calculate the remainder when n is divided by 23.
17
Let z = -79 + 85. Suppose h - k - z = 0, -5*h - k = -2*h - 34. Calculate the remainder when h is divided by 7.
3
Let v(s) = 9*s**2 - 2*s - 11. Let l be v(4). Let j = l + 18. What is the remainder when j is divided by 36?
35
Suppose f + r - 604 = -3*f, 5*r = -4*f + 588. What is the remainder when f is divided by 139?
13
Let d(m) = -m**3 - 4*m**2 - 2*m + 2. Let c be d(-5). Suppose 3*z = c + 5. Suppose -2*a - 385 = -9*a. What is the remainder when a is divided by z?
13
Suppose -13*u = -11*u - 4. Suppose 0 = -u*g + 8*g - 390. What is the remainder when g is divided by 23?
19
Suppose -2*z + 0*z = -6. What is the remainder when -39*(-2 + 3/z) is divided by 14?
11
Let q(h) be the second derivative of 5*h - 7*h**2 + 0 - 8/3*h**3 - 1/12*h**4. What is the remainder when 52 is divided by q(-14)?
10
Let r be 2/(-7) + 86/7. Let g = 73 - 71. Suppose -g*t = -3*t + r. What is the remainder when 34 is divided by t?
10
Suppose 0 = 2*k - 6. What is the remainder when (3 - 9)*(-20)/30 is divided by k?
1
Suppose -10*j - 460 = -1640. What is the remainder when 497 is divided by j?
25
Suppose -152 = -0*d - 3*d - z, -2*d + 108 = 2*z. Let l = d - 28. Calculate the remainder when 82 is divided by l.
19
What is the remainder when 185 is divided by -1*(5 + -12)/(-21)*-114?
33
Suppose 2*w - 4*h = 16 + 80, 0 = 4*w - 4*h - 188. Let z = -6 + 8. Calculate the remainder when w is divided by (-18)/((-9)/12*z).
10
Suppose -5*x + 2 = -3. Let p = 6 + x. Suppose -15 = -4*g + 5. Calculate the remainder when p is divided by g.
2
Suppose -x = 2*c - 63, 5*x - 4*c - 240 = c. Calculate the remainder when x is divided by 35.
18
Suppose 27 - 90 = -21*z. Suppose -24 = -z*q - 5*q. Calculate the remainder when 5 is divided by q.
2
Suppose 0 = 2*l + 3*q - 680, 3*l - 1015 - 5 = -2*q. What is the remainder when l is divided by 90?
70
Let j = -33 - -195. Calculate the