- 32. What is the remainder when c(14) is divided by j?
5
Suppose 9 = -2*c - 5*d, 3*d = 4*c + 4*d + 27. Let y = c - -7. Suppose y = -3*x + 36. Calculate the remainder when 33 is divided by x.
9
Suppose 7*o - 2 = 6*o. Suppose -5*a = 3*t - 921, 3*a - o*t = 347 + 217. What is the remainder when a is divided by 27?
24
Let j = 855 - 821. What is the remainder when 159 is divided by j?
23
Let l(u) = 2*u - 8. Suppose 0*j + d = j - 51, 4*j - 5*d = 207. Calculate the remainder when j is divided by l(9).
8
Suppose 18*m - 30 = 8*m. Calculate the remainder when 46 is divided by m.
1
Let k(v) = -v**3 - 6*v**2 + 7*v - 4. Let o be k(-7). What is the remainder when 77 is divided by (-13)/((o/8)/(2/4))?
12
Let d(f) = 5*f**2 - 37*f + 3. What is the remainder when d(8) is divided by 11?
5
Let b(c) = -c**3 + 3*c + 2. Let v = -58 + 56. Calculate the remainder when 9 is divided by b(v).
1
Let m be -6*(1 + 10*(-3 - -1)). Let l = m + -73. What is the remainder when l is divided by 21?
20
Let f(s) = -s + 24. Let q be (-65)/(-4) + 4/(-16). Let l be f(q). Calculate the remainder when (-2)/l - (-121)/4 is divided by 11.
8
Let j(w) = w**3 + 27*w**2 + w + 35. What is the remainder when 172 is divided by j(-27)?
4
Calculate the remainder when (7*4/(-21))/(4/(-393)) is divided by 19.
17
Suppose 0 = -14*m - 11 + 25. Let o(c) = c**3 + 4*c**2 - 7*c - 6. What is the remainder when o(-5) is divided by m?
0
Let l(d) = 7*d**2 - 6*d + 3. Calculate the remainder when l(5) is divided by 15.
13
Let t be (8/4)/((-6)/(-9)). Suppose -5 = -c - 3*l, -3*c - c - t*l + 38 = 0. What is the remainder when c is divided by 4?
3
Let r(o) = o**2 + 73*o + 150. Let q(u) = 8*u - 3. What is the remainder when q(2) is divided by r(-71)?
5
Let z(b) = -b + 1. Let n be z(-8). Suppose -12*h + 33 = -n*h. Calculate the remainder when 1/1 - (-28 - 1) is divided by h.
8
Let l be (-1422)/12*((-8)/(-6))/(-2). Suppose l = 10*q - 9*q. What is the remainder when q is divided by 21?
16
Let b = 678 + -662. What is the remainder when 152 is divided by b?
8
Suppose -5*z + 237 - 42 = 0. What is the remainder when 150 is divided by z?
33
Suppose -3*w - 5*n = -66, -4*w + 2*n + 34 + 28 = 0. Let g = -15 + w. What is the remainder when (0 - -2)/g + 6 is divided by 4?
3
Let i = 195 - 168. Calculate the remainder when 76 is divided by i.
22
Let p = 141 - 52. Calculate the remainder when 169 is divided by p.
80
Suppose 1784 = 149*k + 83*k - 2160. Let w = 61 - 33. Calculate the remainder when w is divided by k.
11
Let i be 2/1 - (0 - 0). Let m be (-2)/(-4)*(i - 8). What is the remainder when 19 is divided by (1/m)/(7/(-147))?
5
Suppose 4*m + 15 = 23. Suppose -2*y + 5*y = -3*l + 6, 0 = -m*l. Suppose y*o = 17 + 75. What is the remainder when o is divided by 12?
10
Calculate the remainder when (-968)/(-20) + (-90)/225 is divided by 10.
8
Let b(m) = -m**3 + 11*m**2 - 20*m + 21. Let g = -11 + 20. Calculate the remainder when 29 is divided by b(g).
2
Let f = -19 + 15. Let x(v) = 16*v + 1. Let q be x(f). Let s = q - -97. What is the remainder when s is divided by 9?
7
Suppose 5*t - 5 = 0, -2*h = 3*h - 3*t - 2. Let s = h - -8. Suppose 4*x = -2*f + 1 + 153, 3*f = -s. What is the remainder when x is divided by 14?
12
Let j be -1 - -2 - (4 + -3). Suppose j = a - 2*a. Suppose 0 = -4*x + 5*l + 96, a = -2*x + 3*l + 2*l + 48. What is the remainder when x is divided by 13?
11
Calculate the remainder when 1*(54720/24)/15 is divided by (-4)/(-10) + (-43)/(-5).
8
Suppose 0 = -7*b + 76 + 1. Let i be (-9)/(9/(-168)*2). Let q = i + -43. Calculate the remainder when q is divided by b.
8
Calculate the remainder when 247 is divided by (-50)/(-10) - (3 + 23/(-1)).
22
Calculate the remainder when 107 + ((-1)/3)/((-7)/(-63)) is divided by 45.
14
Let b(c) = -c**3 - 4*c**2 + c + 25. Let i(t) = 2*t**3 + 7*t**2 - 2*t - 50. Let f(s) = -5*b(s) - 3*i(s). What is the remainder when f(0) is divided by 13?
12
Suppose 2*s = -43 + 183. What is the remainder when s is divided by 18?
16
Suppose 0 = 3*g - 4 + 1. Suppose -2*t - 2 + g = -3*u, 3*t - 4*u = -3. What is the remainder when 19 is divided by (-1)/((-14)/t + -3)?
4
Let u(g) = 37*g**2 + 2*g. Let c be u(-3). Suppose -c + 19 = -11*p. What is the remainder when p is divided by 10?
8
Let w(j) = 18*j - 5. Let o be w(-4). Let r = -18 - o. Calculate the remainder when r is divided by 30.
29
Let c = 174 - 163. What is the remainder when 28 is divided by c?
6
Let t(i) = i - 2. Calculate the remainder when 278 is divided by t(16).
12
Suppose -5*b + 30 = t, 0 = t + t - 2*b. Suppose -7 = 12*d + 17. Let i = d + t. Calculate the remainder when 11 is divided by i.
2
Let p(m) = 9*m - 11. Let x(l) = 2 - 8 + 7. Let d(a) = 2*p(a) + 14*x(a). Calculate the remainder when d(5) is divided by 28.
26
Let s = 575 - 576. Let f(x) be the first derivative of 2*x**3 + x - 2. What is the remainder when 25 is divided by f(s)?
4
Let a = -77 + 139. Suppose 4*d = 2*q + a, -3*d + 5*q + 29 = -2*d. What is the remainder when 95 is divided by d?
11
Let u(v) = -v**3 - 21*v**2 - 40*v - 14. What is the remainder when 33 is divided by u(-19)?
9
Let q(m) = m**3 - 6*m - 5. Let k be q(-2). Let u(y) = -3*y - 1. Calculate the remainder when u(-10) is divided by (34/8*1)/(k/(-4)).
12
Let g(m) = -20*m + 19. Let d be g(-4). Suppose 0 = -z + 4*i - 3 + d, -4*z + 329 = -5*i. What is the remainder when z is divided by 16?
12
Suppose 9 = 4*f + 13, -4*o + 161 = -5*f. Suppose 1 + 0 = r + 4*q, 5*q = 5*r - 130. What is the remainder when o is divided by r?
18
Let b(r) = r + 40. Suppose -4*w + 364 = 4*p, 5*w - 4*w = 2*p + 85. What is the remainder when w is divided by b(6)?
43
Suppose -7*a + 14*a - 2002 = 0. What is the remainder when a is divided by 58?
54
Let r = -39 + -78. Let l = -29 - -54. What is the remainder when l is divided by (r/26)/((-2)/4)?
7
Let b = 35 + -44. Let w = 14 + b. Calculate the remainder when 8 is divided by w.
3
Suppose 22*o - 240 = -42. What is the remainder when 169 is divided by o?
7
Suppose -14 = -4*x + f, -2*x + f + 2 = -x. Calculate the remainder when x - 5/(20/(-236)) is divided by 13.
11
Let t = 16 + -9. Suppose 0 = 2*a - 0*a + 120. Let w = -34 - a. Calculate the remainder when w is divided by t.
5
What is the remainder when (3315/390)/(1/8) is divided by 9 - (2 + -4)/(-1)?
5
Suppose 101*q - 468 = 88*q. Calculate the remainder when 283 is divided by q.
31
Let l(y) = 8*y - 3*y**2 + 1 + 2*y**2 + 7. Suppose 4*j + 216 = b + 3*b, b = 2*j + 51. Calculate the remainder when b is divided by l(7).
12
Let y be 10/15 - 112/(-12). What is the remainder when 24 is divided by 12/y*280/24?
10
Let w(x) = -x**2 + 9*x + 67. What is the remainder when 222 is divided by w(11)?
42
Suppose -t - 3*n + 65 = 0, -5*t - 3*n + 257 = -128. Calculate the remainder when 230 is divided by t.
70
Let s be 20/2*4/10. Suppose -4*w = 2*j - 42, 3*w + 47 = 5*j - 71. Calculate the remainder when j is divided by (9/4)/(1/s).
5
Let d(f) = -5*f**3 + 4*f**2 + 4*f - 1. Calculate the remainder when d(-2) is divided by 3 + (-6)/(-4)*2.
5
Suppose 2*i + 5*q = 4*i + 23, -4*i - 2*q + 14 = 0. What is the remainder when 39 is divided by -5*i/(-5)*5?
4
Suppose 14*i - 498 = 1812. Calculate the remainder when i is divided by 37.
17
Let u(a) = 14*a - 14. What is the remainder when 75 is divided by u(4)?
33
Let q(h) = 14*h + 10. Suppose 0 = -5*a + 6*a - 3. Calculate the remainder when q(a) is divided by 11.
8
Let c(l) = -l**2 - 6*l - 6. Let z(o) = o**2 + 13*o + 8. Let b be z(-12). Let g be c(b). Calculate the remainder when 4 is divided by 2 + (-2 + g - 0).
0
Suppose -5*a + 3*v + 474 = -86, -2*v - 10 = 0. Calculate the remainder when a is divided by 7.
4
Suppose 0 = -4*v - 22 - 66. Let c = v - -38. What is the remainder when 60 is divided by c?
12
Let g = 495 - 445. What is the remainder when g is divided by 13?
11
Suppose -274 = 5*y + 2*d, 5*d = 3*y - 0*y + 152. Let j = y - -108. What is the remainder when 103 is divided by j?
49
Suppose 0 = 5*y - 73 - 112. What is the remainder when y is divided by (15/6)/(207/18 + -12) + 24?
18
Suppose 0 = 43*v - 36*v - 581. Calculate the remainder when v is divided by 51.
32
Suppose 20 = 2*u - x, 0 = -5*u - x + 6*x + 40. Suppose 179 + 37 = u*s. Calculate the remainder when s is divided by 11.
7
Let j = 363 + 40. Calculate the remainder when j is divided by 4