1459. What is the remainder when q is divided by 35?
32
Let j be (-123)/(-82) - (69/(-2) + -1). Suppose 66 = p - j. Calculate the remainder when p is divided by 27.
22
Suppose -2*f - 2150 = -2154. Suppose 21*r - 19*r + 5*s - 39 = 0, r = f*s + 15. What is the remainder when r is divided by 3?
2
Let k be (-20)/(-25)*5 - -125. Suppose 11*c = k + 344. What is the remainder when c is divided by 8?
3
Let r(q) = q + 14. Let i = -108 - -112. What is the remainder when 159 is divided by r(i)?
15
Suppose 10 = 3*x + 5*h, -5*x - 4*h = h - 30. Suppose -94*l = -1203 - 113. What is the remainder when l is divided by x?
4
Let p = 603 + -1270. Let k = p + 695. What is the remainder when 473 is divided by k?
25
Suppose -2*b + u - 60 = -1038, 0 = 5*b - 3*u - 2448. Calculate the remainder when b is divided by 35.
31
Let v(r) = r**3 - 29*r**2 + r - 19. Let b be v(29). Calculate the remainder when 259 is divided by (16/10)/(b/275).
39
What is the remainder when ((-9658)/(-12))/1 + 32 + 7067/(-222) is divided by 54?
49
Suppose -3*m + 45 = 2*y, 0 = 4*y + 2*m - 57 - 45. Suppose -2*n - 10 = s - 0, -s = -3*n - 10. Let q = 11 + n. What is the remainder when y is divided by q?
6
Let v(z) = -2*z + 1. Suppose 0 = -2*s + f + 85, -11*s - 3*f = -10*s - 32. Suppose -6*b + 1034 = s*b. Calculate the remainder when b is divided by v(-3).
1
Let p = -178 + 356. Suppose -2539*k = -2540*k - b + 35, 4*b = 28. What is the remainder when p is divided by k?
10
Let t be (-8)/(-10) + 12/(-15). Suppose 5*j - 47 = 3*a + 732, t = -2*j - 5*a + 324. What is the remainder when j is divided by 10?
7
Suppose -41*w = -65*w + 96. Let c(n) = -n**3 + 10*n**2 - 20*n - 4. What is the remainder when c(w) is divided by 5?
2
Let f = -2822 + 2830. What is the remainder when 2798 is divided by f?
6
Let j(o) = o**2 - 21*o - 555. Let t be j(-15). Let d be -2*(-1)/4*-38. Let r = t - d. Calculate the remainder when 11 is divided by r.
3
Let a = 106 + -51. Calculate the remainder when (200/(-85))/(840/(-135660)) is divided by a.
50
Suppose 2*k - 34*k + 1376 = 0. Suppose 74 = 5*g + 4. Calculate the remainder when k is divided by g.
1
Let d(v) = -3*v**3 - 12*v**2 - 333*v - 1984. Calculate the remainder when 14258 is divided by d(-6).
228
Suppose 0 = 941*p - 947*p + 1536. Calculate the remainder when p is divided by 78.
22
Calculate the remainder when 1811 is divided by (-1053)/(-21) + (-6)/(-10 - 6/(-2)).
26
Let u(a) = -7*a + 156. Let k = -109 + 130. Let o = 36 - 20. Calculate the remainder when o is divided by u(k).
7
Suppose 22*w - w = 8043. Let k(l) = 19*l - 137. Calculate the remainder when w is divided by k(8).
8
What is the remainder when 388 is divided by (3 + (-10)/3)*(-528 + 147)?
7
Suppose -2*a - 15 = -5*a. Let z(s) = 7*s - 4. Let o(l) = -33*l + 173. What is the remainder when z(a) is divided by o(5)?
7
Suppose 4*j + 3*q - 4065 = 0, 44*q - 41*q = -3. What is the remainder when j is divided by 211?
173
Suppose 2*w = 4*w - 84. Let r(a) = -a**3 + 2*a**2 + 8*a - 2. Let t be r(6). Let i = 113 + t. What is the remainder when w is divided by i?
12
Suppose -2*g + 5 - 1 = 0, x - 31 = 5*g. What is the remainder when 8/((-80)/130) + 543 is divided by x?
38
Let j(i) = 32*i + 3708. Calculate the remainder when j(-99) is divided by 39.
33
Suppose 79*u + 61*u - 51520 = 0. What is the remainder when u is divided by 6?
2
Let q be (3/(-2))/(3/(-8)). Let w = 2598 + -2454. Suppose b - 3*b + 68 = -4*v, w = q*b - 4*v. Calculate the remainder when b is divided by 21.
17
Let m = -2353 - -2407. Calculate the remainder when 375 is divided by m.
51
Let v be 14/8 + (-2)/(-8). Suppose -v*h - h - 4*h = 0. Suppose 2*g - 36 = 4*l + 138, h = 2*g + 2*l - 186. What is the remainder when g is divided by 19?
15
Let u = -158 - -312. What is the remainder when (-71)/(9/(-11) + (-28)/u) is divided by 19?
14
Let l(f) = f**3 - 5*f**2 + 2*f + 4. Let w = 2168 - 2144. Calculate the remainder when w is divided by l(5).
10
Let q be 8/(-2)*(-484)/16. Suppose 3*g - q = 245. Suppose -9337*o = -9338*o + 11, -5*d - 5*o = -125. Calculate the remainder when g is divided by d.
10
Let h(x) = -x + 32. Let d be h(23). Suppose d*z = 36 + 315. What is the remainder when z is divided by 10?
9
Suppose 0 = -2*b + 4*k, 0*k - 8 = -4*k. Let s be 4/(-4) - 5*-13. Suppose -o = -s + 55. What is the remainder when o is divided by b?
1
Let j = 15938 - 15787. Calculate the remainder when j is divided by 15.
1
Let v = 943 - 808. Suppose -4*l = 3*h - 112 - v, -2*l - h + 125 = 0. What is the remainder when 249 is divided by l?
57
Suppose -d - 73 = -2*d. Let u = d - -9. Let n = u + -72. Calculate the remainder when 69 is divided by n.
9
Let k(x) = x**2 + 6*x - 16. Let h be k(6). Suppose 2*p - h = -2*p. Calculate the remainder when (5 + -72)/(2/(-2)) is divided by p.
11
What is the remainder when 127 is divided by (-1)/11 + (-20935)/(-869) + (2 - 1)?
2
Let z(g) be the third derivative of g**5/15 - g**4/8 + 3*g**2 + 8*g. Calculate the remainder when z(-6) is divided by 41.
39
Let n(d) = d**2 + d - 168. Calculate the remainder when 1155 is divided by n(-24).
3
Let y be (-46)/((-1)/((-2)/(-4))). Let f = 28 - y. Suppose f + 3 = j. Calculate the remainder when 53 is divided by j.
5
Let b(q) = q**2 + q - 2. Let z be b(-6). Suppose 18*g = 11*g - z. Let m(t) = -2*t + 4. Calculate the remainder when 93 is divided by m(g).
9
Suppose 11*j + 248 = 19*j. Let v = 39 - j. What is the remainder when 166 is divided by 114/v + (-10)/40?
12
Calculate the remainder when 348 is divided by (0 - 23)/(187/(-374)).
26
Calculate the remainder when 1731 is divided by (-1052)/(-8) + -6 - (-2 + (-6)/(-4)).
93
Let a be 1/(1/(-12)*-3). Let o be a*(0 - 1) + (-10)/(-5). What is the remainder when (-235)/(3 - o)*-3 is divided by 48?
45
Calculate the remainder when 2008/40*(62 - -8) is divided by 95.
94
Suppose i - 2 = 0, 4*c + 11*i - 16*i = 1018. Calculate the remainder when c is divided by 25.
7
Calculate the remainder when 3628 is divided by 15 + (96/18 - 6)/(2/21).
4
Let s be (2/(-1) + 2)/(6 - 7). Calculate the remainder when (-2*(s - 19) + -3)*3 is divided by 6.
3
Let l = -2 - 2. Let k be (-4 - -2)*(1 + l). Let r(p) = p**2 - 3*p + 8. What is the remainder when 50 is divided by r(k)?
24
Suppose -2*n + 3*n = -5*h - 1402, 3*n = 2*h - 4121. Let l = n - -733. What is the remainder when (-6)/(-10) - l/10 is divided by 17?
14
Calculate the remainder when 2414/27*3/2 - (-220)/(-1980) is divided by 49.
36
Let h = 26 - -5. What is the remainder when (472/40 - 11) + (-1536)/(-30) is divided by h?
21
Let y = -3724 - -18531. Calculate the remainder when y is divided by 24.
23
Suppose -9*t + 2 = -16. Suppose -t*a - 21 + 45 = 0. Let r = -36 + 57. What is the remainder when r is divided by a?
9
Suppose -k = -0*k - 5*z - 95, 8 = 4*z. What is the remainder when k is divided by (6*10/(-75) - -11)/((-9)/(-30))?
3
Let f = 1185 - 822. Let b = f + -263. Calculate the remainder when b is divided by 26.
22
Suppose 0 = 6*l - 567 - 729. Suppose s + 5*x = 3*s - 125, 5*s + 5*x - 365 = 0. Calculate the remainder when l is divided by s.
6
Suppose -p + 3*y + 1275 = 0, -2*y = -49 + 39. What is the remainder when p is divided by 4?
2
Let v be ((27/(-12))/3)/((-5)/(-20)). Let q be -5*(-5)/5 + v. Suppose 4*h + 128 = t, 2*h - h = -q*t + 238. What is the remainder when t is divided by 11?
10
Let a(d) = 23*d + 453. Let v = -83 + 123. What is the remainder when a(-13) is divided by v?
34
Suppose 2*r + 2*b - 52 = 0, 0 = 3*r - b + 4 - 78. Suppose 9 = v - 3*h - 147, h = 6. Calculate the remainder when v is divided by r.
24
Let n = -2360 + 2369. Calculate the remainder when 27 is divided by n.
0
Suppose -3*s + 2*x - 3 = 0, 3*s + x = 2*x. Suppose -4*k + 5*z = s, k + k = -4*z + 6. Let w(r) = 36*r - 4. Calculate the remainder when 61 is divided by w(k).
29
Let a(j) = -4*j**3 + 24*j**2 - 11*j + 2. What is the remainder when 422 is divided by a(4)?
78
Let z be ((-10)/(-25))/(4/(-20)). Let t be (z/(-6) - (-512)/(-6)) + -3. Let f = 102 + t. Calculate the remainder when 95 is divided by f.
11
Let y(r) = 65 - 6 + 82 - 6*r + 7*r - 39. What is the remainder when y(-34) is divided by 20?
8
Let z(a) = a**2 - 8*a + 8. Let u be z(6). Let o = -21 + 30. What is the remainder when o is divided by -3*(u + 16/12)?
1
Let i(w) = 2*w - 4. Let g be i(4). Suppose -g*r - 17 =