*d - m = 7. What is the remainder when (-15209)/(-134) + (-1)/4*d is divided by 22?
3
Suppose -5*y + s = -3*s - 24, 4*y - 15 = -s. What is the remainder when 79/5 - (-2)/10 is divided by y?
0
Suppose 0 = c - 3*c + 6, 5*l - 142 = c. Let s be (107/4)/(17/68). Suppose -5*n + s - 22 = 0. Calculate the remainder when l is divided by n.
12
Suppose 2*y - 2*u = -36, -3*u - 3 = -4*u. Suppose d = -j + 11 - 6, -5*d = -4*j + 65. Calculate the remainder when j is divided by (-42)/(-15) - 3/y.
1
Suppose -12 = -3*g - 0*g. Let a(j) = -j**2 + 4*j + 7. Let m be a(5). Suppose -m = -k - 1. What is the remainder when g is divided by k?
0
Let v(o) = -66*o**3 - o**2 + o + 1. Let p = 7 + -5. Suppose n - p*n = 1. What is the remainder when v(n) is divided by 17?
14
Suppose 3*i - 200 = -5*w + 4*i, 25 = 5*i. Let l = 103 - w. What is the remainder when l is divided by 37?
25
Suppose 2*m - 425 = -24*w + 29*w, 4*m + 3*w = 759. Calculate the remainder when 325 is divided by m.
130
Suppose u + 3*o - 3654 = 0, o + 18340 = 5*u + 2*o. What is the remainder when u is divided by 12?
9
Suppose 80746 = 278*a + 96743 - 444117. Calculate the remainder when 4631 is divided by a.
11
Let t(d) = 2*d**2 - 20*d + 48. Let r be t(13). Suppose 2*q = r - 84. What is the remainder when 145 is divided by q?
19
Suppose 5*r - 3121 = -1201. Suppose 11*y = -y + r. Calculate the remainder when y is divided by 12.
8
Let i be 0/1*-1 + 3. Suppose 2*f = 3*k - 8, k + 63 = -3*f + 62. What is the remainder when 17 is divided by ((-2 - -6) + f)*i?
8
Let y = -3503 - -4860. What is the remainder when y is divided by 75?
7
Let d(b) = -b**2 - b + 14. Suppose 0*s = -s - 3*s. Calculate the remainder when 35 is divided by d(s).
7
Suppose -3*d = 10 - 1. Suppose 68*r = 58*r + 140. What is the remainder when r is divided by d + -1 + (2 - -12)?
4
Let v(u) = -15*u - 3. Let g be v(-9). Suppose -5*a + 68 + g = 0. What is the remainder when a is divided by (5 + (292/(-20) - -6))/(14/(-35))?
4
Suppose 2*c - 4 = 4*l, 0 = 4*c + 5*l - 0 - 34. Suppose 94 = c*s + 4. Calculate the remainder when 104 is divided by s.
14
Suppose -30*z = 29 + 1. Let x(b) = -30*b - 11. What is the remainder when 23 is divided by x(z)?
4
Let n(j) = -j**2 + 28*j + 28. Calculate the remainder when n(20) is divided by 179.
9
Let o(w) = -w**2 + 79*w - 577. Calculate the remainder when o(29) is divided by 73.
70
Suppose 0 = 3*g - 77 + 62. Suppose 36 - 8 = 3*k - 4*f, 4*k + 3*f = 29. What is the remainder when k is divided by g?
3
Let d be 4 + 50/(-12) + (-158)/(-12). Let l = d - 0. Suppose 0 = m - 9 - l. What is the remainder when 63 is divided by m?
19
Let s(r) = 2*r**2 + 6*r**3 - 5*r**3 + 9*r + 3*r**2 - 17*r. Calculate the remainder when 239 is divided by s(-4).
47
Suppose 5*n + 2 = 117. Let w(c) be the first derivative of -c**3/3 + 9*c**2/2 + 67*c + 191. What is the remainder when w(9) is divided by n?
21
Let g(v) = v**2 - v - 7. Let w be g(-5). Let n(a) = -4 - 2 + 1 - w*a + 39*a. Calculate the remainder when 35 is divided by n(1).
2
What is the remainder when 8/20 - ((-1012752)/(-60))/(-12) is divided by 64?
63
Let q = 1866 + -1772. Suppose -2*s + 5*v = -5*s - 200, 320 = -5*s - 5*v. Let k = -41 - s. Calculate the remainder when q is divided by k.
18
Suppose 36 = 7*i + 211. Let k = -16 - i. Let s = k - -76. Calculate the remainder when s is divided by 29.
27
Let a(i) = i**2 - 6*i - 769. What is the remainder when 407 is divided by a(31)?
5
Suppose 4*w = -3*o + 317, 4*o + 2*w = 3*o + 109. Calculate the remainder when o is divided by (5*4/(-30))/(2/(-63)).
15
Suppose -2*f + 2 + 7 = -3*q, 4 = f - 2*q. Let v(c) = 79 - 38 + 83 - 9*c + 30. What is the remainder when v(15) is divided by f?
1
Suppose -2 = -3*d + 55. Calculate the remainder when (-1)/3*-165 + 80/96*12 is divided by d.
8
What is the remainder when 7070 is divided by (-15)/((-810)/(-18))*(-312 - 0)?
102
Suppose -6 + 3 = -x. Let o = -159 - -152. Let u(v) = v**3 + 9*v**2 + 14*v + 6. What is the remainder when u(o) is divided by x?
0
Let c be (-2)/(-5) + (-6)/(-10). Suppose 2*h = -3*m + 62, -36*h = -m - 40*h + 4. What is the remainder when 5*c*(-322)/(-35) is divided by m?
22
Suppose 5*n = 13*n + 12*n - 17600. What is the remainder when n is divided by 173?
15
Let j(h) = -14*h + 1. Let o(u) = 226*u + 354. Calculate the remainder when o(-1) is divided by j(-3).
42
Suppose 4827 = 116*a - 15814 + 5445. What is the remainder when a is divided by 4/((-8)/(-27))*2?
23
Suppose 0 = 114*k - 10479 - 15810 - 12357. Calculate the remainder when 5419 is divided by k.
334
Let q = -13927 + 14498. Calculate the remainder when q is divided by 58.
49
Let w = -6 + 15. Let k = w + -2. Let v = 6085 + -6060. What is the remainder when v is divided by k?
4
Suppose 5*q - 196 = 3*h, -149*q + h - 74 = -151*q. Calculate the remainder when 138 is divided by q.
24
Suppose -5*w - 5*l + 7725 = 0, -1637 = -w + 4*l - 112. What is the remainder when w is divided by 59?
7
Let c(t) = 6*t + 61. Let x(k) = -6*k**3 + k**2 - k - 2. Let n be x(-1). What is the remainder when c(n) is divided by 37?
23
Suppose 2*i - 7*i - y = -81, -5*y = -4*i + 88. Suppose 0 = 4*f - 5*a - 293, 13*f - 17*f - 7*a + 377 = 0. What is the remainder when f is divided by i?
14
Let w = 5265 + -5236. Calculate the remainder when 282 is divided by w.
21
Let b be (5 + -6)/(1/(-6)). Suppose b*s + 3*s - 270 = 0. Calculate the remainder when 20 is divided by ((-15)/s)/((-1)/22).
9
Suppose -2*j = 5*l - 17, 7*j + l = 3*j + 25. What is the remainder when (j + 32/(-5))/(6/(-615)) is divided by 6?
5
Let z(m) = -m**3 + 13*m**2 + 17*m - 46. Let r be z(14). Let t(d) = -d**3 + 3*d + 2. What is the remainder when t(r) is divided by 12?
6
Suppose -3*r = 4*b - 72, -5*b + 0*b + 3*r + 90 = 0. Suppose 10877 - 33233 = -324*d. What is the remainder when d is divided by b?
15
Calculate the remainder when 328 is divided by ((-1005)/6*(-20)/(-25))/(-2).
60
Let h = -300 - -333. Suppose 108 = -30*g + h*g. Calculate the remainder when 86 is divided by g.
14
Let u(t) = t**3 + t + 8. Let j be (-1 + 0)*(-2 + 5 + -3). What is the remainder when 1/((-3)/(-204)) + 1 is divided by u(j)?
5
Suppose -24*t = -47426 + 2090. What is the remainder when t is divided by 126?
125
Let m(q) = -q**3 - 8*q**2 - 8*q - 5. Let n(w) = -w + 12. Let a be n(5). Suppose r - 8 = -a*r. Calculate the remainder when m(-7) is divided by r.
0
Let u be (-2136)/(-72) - 8/(-6). Suppose 0 = 353*l - 352*l - u. What is the remainder when 57 is divided by l?
26
Let s = 1034 + -382. Calculate the remainder when s is divided by 167.
151
Suppose -5*n - 25 = 0, 3*c = 2*n + 2 + 20. Suppose w = c*z - 31, -18*z - 4*w + 16 = -14*z. Calculate the remainder when z is divided by 2.
1
Let h be (70/(-8))/((-90)/(-120))*-3. Suppose 7*d - 217 = h. Calculate the remainder when 753 is divided by d.
33
Let c = 169 + -155. Suppose 42 = -c*s + 21*s. Suppose 2*x + 0*x = 138. Calculate the remainder when x is divided by s.
3
Let w(u) = 60*u - 1960. Calculate the remainder when w(38) is divided by 5.
0
Let l be (-7 + 3)/(10/795*-6). Suppose -60*a + l*a + 273 = 0. Calculate the remainder when 74 is divided by a.
35
Suppose -2148 = -19*x + 7*x. Let r = 226 + -179. Calculate the remainder when x is divided by r.
38
Let m be (-2)/(-3) - (-4268)/33. Suppose 9*q = -4 + m. Calculate the remainder when 219 is divided by q.
9
What is the remainder when 666 is divided by (3/2)/(-11 + 453/42) - -325?
30
Suppose 0*m + 238 = -5*j - 4*m, 10 = -5*m. Let s = j - -184. Suppose r - i = s, -570 = -4*r - 4*i - 50. What is the remainder when r is divided by 46?
42
Suppose -3*d - 130 = z - 137, 4*d - 6 = 2*z. What is the remainder when 2562 is divided by d?
0
Suppose 5*m + 0*i - 1315 = -5*i, -i = -m + 265. Suppose m = 4*q - 164. Suppose 9*g - 163 - 95 = -6. What is the remainder when q is divided by g?
23
Let x = 24928 - 24790. What is the remainder when 711 is divided by x?
21
Suppose -4*s = 4*l - 128, 16*s - 19*s + 3*l + 126 = 0. Suppose s = 4*m + 3*f, 8*m - 9*m - f + 8 = 0. What is the remainder when 51 is divided by m?
12
Suppose -35*r = -37*r - 994. What is the remainder when 445 is divided by (400/14)/2 - (-142)/r?
11
Suppose -253624 = -50*z - 48*z. What is the remainder when z is divided by 74?
72
Let d = 9472 + -2368. Calculate the remainder when d is divided by 203.
2