r when 1*-3*(14 - (-406)/(-21)) is divided by x.
4
Let a = -13 - -27. Suppose -27 = -5*y + 3*o, 3*o - 35 = -5*y - 2*o. Calculate the remainder when (-3)/((-24)/209) + y/(-48) is divided by a.
12
Let y(m) = -2*m**2 + 78*m - 125. Calculate the remainder when 1668 is divided by y(37).
12
Suppose -34 = -11*p + 142. Let a = -14 - -17. What is the remainder when a + -1 + -1 + 74 is divided by p?
11
Suppose -20*r = -0*r + 40. Let t(b) = b**3 + 8*b**2 + 5*b + 1. What is the remainder when 49 is divided by t(r)?
4
Suppose 3*s + 15 = 0, -7*s = 5*j - 6*s - 415. Suppose -j + 1118 = 11*r. Calculate the remainder when r is divided by 6.
4
Suppose 2*w + 44 = -4*a + 280, 0 = 4*w + 16. Let o = 80 - a. Calculate the remainder when 74 is divided by o.
17
Let n(d) = 2*d - 17. Let x be n(7). Let y be (x - (-9)/12)/((-21)/56). What is the remainder when y/24 + (-966)/(-8) is divided by 31?
28
Let a(g) = -g**3 + 11*g**2 - 10*g + 14. Let p be a(9). Suppose -90*m + 52 = -p*m. What is the remainder when 152 is divided by m?
9
Let u(x) = x**3 - 4*x**2 + 3*x + 8. What is the remainder when u(5) is divided by ((4/9)/(-2))/(178/(-20826))?
22
Let z(p) be the third derivative of -7*p**4/24 - 10*p**3/3 + 38*p**2. What is the remainder when z(-18) is divided by 23?
14
Let q(j) = 27*j + 516. Calculate the remainder when q(-17) is divided by 11.
2
Suppose 0 = -28*t + 349 - 22 + 9. Calculate the remainder when 3788 is divided by t.
8
What is the remainder when 490 is divided by (2318/(-76))/((-1)/(-6))*4/(-3)?
2
Let o(z) = -282*z - 3. Let l be o(1). Let c = l - -306. Calculate the remainder when 45 is divided by c.
3
Let j = 0 - -4. Let m(k) = 35*k - 63. What is the remainder when j/(-18) + 731/9 is divided by m(3)?
39
What is the remainder when 102 is divided by (-1)/(-7) + (-29070)/(-1330)?
14
Let c(d) = -16*d - 3. Let w = 159 - 142. Calculate the remainder when c(-2) is divided by w.
12
Let c(m) = 2*m**3 - 16*m**2 + 3*m - 1. Let g(t) = -t**3 + t**2 + 2*t + 8. Let i be g(0). What is the remainder when 35 is divided by c(i)?
12
Suppose -918 - 362 = -41*l - 337. What is the remainder when 213 is divided by l?
6
Let j = -1299 - -1429. Calculate the remainder when 368 is divided by j.
108
Suppose h = 5*c - 12, -11 = 4*c - 3*h - 25. Suppose c*w + 2*k - 237 = w, 4*k - 4 = 0. What is the remainder when w - 0 - (-3 + 7/1) is divided by 29?
28
Let l(i) = 2*i**2 + 4*i + 8. Let s = -21 - -15. Suppose -198*w = -197*w - 19. Calculate the remainder when l(s) is divided by w.
18
Let t be (-30 + 0)*(-3 + 2/10). Suppose 0 = 5*u + 4*r - t, -2*u - 2*r - 14 = -46. What is the remainder when (97 - (-1 - 0)) + -1 is divided by u?
17
Calculate the remainder when (-3)/(-2)*(-505538)/(-363) is divided by 17.
15
Let f(o) = 5*o + 3. Let d be f(0). Suppose -4*b = d*q + 179 + 29, 156 = -3*b - 4*q. Let l = 62 + b. What is the remainder when 97 is divided by l?
7
Let y(s) = -51*s - 1399. Calculate the remainder when 386 is divided by y(-28).
9
Let q(m) be the second derivative of -m**3/2 - 23*m**2 - 4*m - 3. Calculate the remainder when q(-30) is divided by 1 + (-2)/(-2)*15.
12
Let o = -494 + 839. Suppose -19*t = -24*t + o. Calculate the remainder when t is divided by 10.
9
Let g = -1625 + 2943. Calculate the remainder when g is divided by 132.
130
Calculate the remainder when 3/(15/5513) - (22 - (-6384)/(-285)) is divided by 31.
18
Let n = 60180 + -15319. Calculate the remainder when n is divided by 119.
117
Let x = 12331 - 7898. Calculate the remainder when x is divided by 20.
13
Let j(r) = -16*r - 37. Let p(y) = 9*y + 19. Let t(c) = 3*j(c) + 5*p(c). What is the remainder when 286 is divided by t(-16)?
30
Let z(p) = 15*p + 38. Let j(g) = -2*g. Let n(f) = -3*j(f) - z(f). Let y(h) = -1. Let i(k) = n(k) + 3*y(k). Calculate the remainder when 152 is divided by i(-7).
20
Suppose -d - 3*c = 7, -c + 6 = -5*d + 35. Suppose -d*f + 10 = -0. Calculate the remainder when f is divided by 6 - ((-20)/(-4) - 1).
0
Suppose -2*k - 1 = -3*k. Let f(r) = 36*r**2 - 2*r + 1. Suppose 4*u = 4*n - 76, 5*u - 30 = 3*n - 87. What is the remainder when f(k) is divided by n?
16
Let v(d) = -6*d**3 + 3*d**2 + 3*d + 4. Let r(b) = -b**3 + 7*b**2 - 8*b + 10. Let u be r(6). Calculate the remainder when v(u) is divided by 18.
4
Suppose 3*b - 9 = -f, 7*b - 5*b = 5*f - 45. Let j be (18/9)/((-6)/f). Let x(n) = -n**3 - 3*n**2 - 6*n. What is the remainder when 35 is divided by x(j)?
17
Let n be (-1 - -328 - 2) + (9 - 11). Let w(g) = 33*g - 6. Let i be w(6). Let o = n - i. Calculate the remainder when o is divided by 33.
32
Suppose 0*h - 3*g = -h + 15896 - 6175, 0 = 2*g. What is the remainder when h is divided by 52?
49
Let s = 1758 + -505. What is the remainder when s is divided by 114?
113
Let n be 128 - 1/(3/(-18)). Calculate the remainder when 137 is divided by (-3)/((-6)/n) + (5 - 3).
68
Suppose 13*n + 71 + 59 = 0. Calculate the remainder when 219 + ((-6)/8)/(n/80) is divided by 18.
9
Let s(w) = 23*w**2 - 153*w - 141. Calculate the remainder when 158 is divided by s(8).
51
Let p be 365/(-10)*(2 + 0) - -3. Let q = -72 - p. Calculate the remainder when 18 is divided by 2/(-4) - 17/q.
2
Let q be (-3 - (0 + -4))/(1/(-20)). Let x = 140 - q. Suppose -4*l = -x + 24. Calculate the remainder when l is divided by 12.
10
Calculate the remainder when 1495/(-23)*(-13)/5 is divided by (688/129)/((-4)/(-54)).
25
Suppose 3*j = 16*f - 13*f - 147, 4*f - 2*j = 202. What is the remainder when 12478 is divided by f?
50
Suppose 0 = 554*y - 533*y - 28770. Calculate the remainder when y is divided by 28.
26
What is the remainder when 1226/6 + (333/(-27) - -6) + 7 is divided by 69?
67
Let a be (16/3)/(3/((-594)/4)). Let n = 300 + a. Calculate the remainder when n is divided by 22.
14
Calculate the remainder when 334 is divided by 6/(-24)*-113 + (4/(-16) - 0).
26
Suppose 15*n - 5*n = 280. Let l = n - 13. Calculate the remainder when 37 is divided by l.
7
Suppose 20*j + 8238 = 8678. What is the remainder when 6639 is divided by j?
17
Let r(k) = -k**2 + 25*k - 28. Calculate the remainder when 700 is divided by r(23).
16
Let s = -306 - -329. Suppose 0 = 2*u, 2*f - 5*u - 198 = -f. What is the remainder when f is divided by s?
20
Suppose 4*z = 4*r + 664, -97*z - 172 = -98*z - 2*r. Calculate the remainder when z is divided by 47.
27
Let k(d) be the third derivative of d**5/60 - d**4/4 - 5*d**3/2 - d**2 - 58. Calculate the remainder when 23 is divided by k(9).
11
Let s(g) = g**3 - 4*g**2 + 2*g - 6. Let i be s(4). Calculate the remainder when (1/i)/((-3)/(-306)) is divided by ((-2)/((-6)/(-13)))/((-12)/36).
12
Let g be -5*(-1 - (-4)/10). Let n = 7579 - 7503. Suppose a + g*a + 4*c = n, 3*a = c + 61. Calculate the remainder when a is divided by 14.
6
Let v = -80 - -116. Suppose -v = 745*u - 747*u. Suppose c - 39 = 31. Calculate the remainder when c is divided by u.
16
Suppose k + 4*k = 4060. Suppose 29*i - k = 25*i. Let l(a) = -4*a + 73. What is the remainder when i is divided by l(8)?
39
Let s(u) = 36*u**3 + 3*u**2 - 44*u + 138. Calculate the remainder when s(3) is divided by 469.
67
Let z(b) = -2*b**3 - b**3 + b**3 + b**3 + 25 + 16*b**2 - 13*b. Let r be z(14). Suppose -10*v - r = -865. What is the remainder when v is divided by 16?
15
Let l = -7538 + 7731. What is the remainder when l is divided by 63?
4
Suppose -5*x = -8*z + 13*z - 270, -5*x = -4*z + 261. Calculate the remainder when 239 is divided by z.
3
Suppose 0 = 123*x - 76*x - 26461. What is the remainder when x is divided by 94?
93
Suppose 15*x + 33 = 633. Let f = -22 + 27. Suppose f*r - 411 = -0*r - 4*l, -3*r + 241 = l. Calculate the remainder when r is divided by x.
39
Suppose 13133 + 3066 = 97*j. What is the remainder when j is divided by 9?
5
Calculate the remainder when 332 is divided by 32488/558 + (30/27)/5*-1.
42
Suppose -849*s + 910*s = 22021. What is the remainder when s is divided by 112?
25
Let z(g) = -8*g + 1. What is the remainder when (122/(-366))/((((-253)/726)/(-23))/((-6)/4)) is divided by z(-1)?
6
Let w = -669 + 682. Calculate the remainder when 302 is divided by (152/(-57))/(w/(-6) - -2).
14
What is the remainder when -5 + 110/10 + 216 is divided by 56?
54
Suppose 4*x + 384 = -3*a + 720, 0 = 4*a + 4*x - 448. What is the remainder when 1576 is divided by a?
8
Let p(q) = q - 5. Let g(l) = l**3 + 6