is the remainder when n is divided by 7?
0
Let s(p) = 11*p + 9. Let r be 7106/76 - 3/2. Suppose -1650 = 59*a - r*a. Calculate the remainder when s(8) is divided by a.
47
Suppose -164 = 197*s - 4104. What is the remainder when 59 is divided by s?
19
Let q = 305 + 1948. Calculate the remainder when q is divided by 7.
6
Calculate the remainder when (-778)/(-8) - ((-35)/(-28))/5 is divided by 20.
17
Let i = 139 - 139. What is the remainder when (-252)/(-2 - (i + -1)) is divided by 83?
3
Suppose -622*u - 2295 = -707*u. Calculate the remainder when 2858 is divided by u.
23
Let v(t) = 20*t - 10 + 0*t**2 - 29 + 7 + t**2. Let r be v(-22). Let g = 7 + r. What is the remainder when g is divided by 8?
3
Let o(z) = 2*z**2 + 31*z + 611. What is the remainder when o(-19) is divided by 144?
24
Suppose 0 = 4*m - 111 - 1. Suppose 5*j + 2*j - m = 0. What is the remainder when 10 is divided by 15/j - 1*(-2)/8?
2
Suppose -8*i = -40*i + 3392. Calculate the remainder when 728 is divided by i.
92
Let t(u) = 2*u**2 + u. Suppose -10*f = -37*f - 62613. What is the remainder when f/(-21) - (-1)/(7/(-3)) is divided by t(-4)?
26
Suppose 0 = 2*r + 142 + 122. Let n be (-1560)/r - (-2)/11. What is the remainder when 6 is divided by n/18 - (-48)/9?
0
Suppose 6*t - 460622 - 6080 = -223*t. Calculate the remainder when t is divided by 34.
32
Let s = 87 + 19. Let p = -88 + 166. Suppose -4*g - g = 4*n - 188, 0 = 2*g + 3*n - p. What is the remainder when s is divided by g?
34
Suppose -12 = -y - 1. Suppose -4*s + 5*a + 1130 = -89, -975 = -3*s - 3*a. Calculate the remainder when s is divided by y.
8
Let t be 1155 + 1 - (-86 - -83). Suppose t = 5*a - 301. What is the remainder when a is divided by 42?
40
Let u(q) = 7*q + 3. Let p(v) = 20*v - 13. Let k be p(2). Let s = k - 14. What is the remainder when u(5) is divided by s?
12
Suppose -4*o + 5*o = 0, 3*g - 5*o - 21 = 0. Suppose -g*p + 6 = -4*p. What is the remainder when 7/(-6)*p*-6 is divided by 4?
2
Suppose -18*i = -939 + 129. Let s(o) = o - 12. Let l be s(7). Calculate the remainder when i is divided by (0 - -5)*(-16)/l.
13
Suppose 190*y - 5180 = 19140. What is the remainder when 1020 is divided by y?
124
Let v(s) = -2*s**3 + s**2 + 3*s + 2. Let z be v(-1). Suppose 2*l - 3*c + z*c = 17, l + 5*c = 3. What is the remainder when 199 is divided by l?
7
Let j(i) = i**3 + i**2 + 2*i - 1. Let y(u) = 2*u**3 + 16*u**2 + 3*u + 46. Let z(f) = -4*j(f) + y(f). Calculate the remainder when 378 is divided by z(6).
18
Suppose v = -v + 184. Calculate the remainder when v is divided by 66/55*10 + 20.
28
Suppose -745*h + 40 = -737*h. Suppose -j + 26 = 3*z - 999, h*j = 5*z - 1695. What is the remainder when z is divided by 57?
56
Let v = -31593 + 31979. What is the remainder when v is divided by 44?
34
Suppose -3*x + 244 = -2*w, 0 = 4*x - 58*w + 59*w - 351. What is the remainder when 1374 is divided by x?
84
Suppose 12 = -7*d + 8*d. Let s(k) = k**2 - 10*k - 332. What is the remainder when s(-15) is divided by d?
7
Let o be -3*-10*(-13)/78. Let l(j) = -17*j + 0*j**3 - 6*j**2 - 2*j**3 - 2 + j**3. Calculate the remainder when l(o) is divided by 15.
13
Let y = -9114 + 9173. What is the remainder when 1002 is divided by y?
58
Let c(t) = -4*t + 33. Let v be c(7). Suppose -3*l = -2*j + 25, 0 = -v*j - 6*l + 9*l + 67. Calculate the remainder when 69 is divided by j.
13
Suppose 4*a - 2275 = -n, a + 3*n = 5*n + 580. Suppose -6*f + 306 = -a. Let o = -49 - -99. What is the remainder when f is divided by o?
46
What is the remainder when 434 is divided by 5 - (((-128)/40 - 7) + (-1)/(-5))?
14
Let h be (-6)/(-2) + 0 + 16. Let s = h - -9. Suppose 3*i = -2*f + s, -3*f = 4*i - 19 - 20. Calculate the remainder when 19 is divided by i.
1
Suppose -8*h + 6*h - 5*t + 877 = 0, -470 = -h + 2*t. What is the remainder when h is divided by 66?
60
Let t(b) = -8*b + 887. Calculate the remainder when t(47) is divided by 87.
76
Suppose 2*q + 123 = 13 + 498. What is the remainder when q is divided by 39?
38
Let t(h) = 9*h**3 + 2*h**2 - 6*h + 5. Let d be t(1). What is the remainder when 410 is divided by (-105)/d*(-4)/6?
4
Let w(l) = -3*l**2 - 9*l - 7. Let m be w(-7). Let r = -62 - m. Calculate the remainder when 157 is divided by r.
12
Suppose -3*f - 2*r = -22, -4*f + f - 5*r = -19. Let p = 96 + -87. Suppose 0 = -13*i + p*i + 144. What is the remainder when i is divided by f?
4
Calculate the remainder when (-4)/(-14) + 176176/784 is divided by 44.
5
Suppose -5*h + h - z - 26 = 0, h - 1 = -4*z. What is the remainder when (-4356)/(-11) + h + 0 is divided by 56?
53
Suppose -45*n - 123*n + 2448 = -15*n. Calculate the remainder when (1 + -11)*62/(-5) is divided by n.
12
Let q = 5412 + -4562. Calculate the remainder when q is divided by 71.
69
Let r = 72 - 41. Let q(k) = -k**3 - 55*k**2 - 253*k - 12. What is the remainder when q(-50) is divided by r?
14
Let z = -26 + 43. Calculate the remainder when 5 + -2*z*(-4 - -2) is divided by 20.
13
Suppose 2*l - 516 = -4*i, -3*l + 11580 = -4*i + 12056. Suppose -16 = -4*x, 0*a - 4*a + 2*x = -64. What is the remainder when i is divided by a?
17
Suppose 28*p = 33*p - 335. Suppose 74*l = p*l + 406. What is the remainder when l is divided by 20?
18
Let n(v) = 2*v**2 - 17*v - 7. Let z be n(9). Suppose z*p = j + 94, -p + 86 = p - 5*j. What is the remainder when 92 is divided by p?
44
Let a(x) = -30*x + 1120. What is the remainder when a(-4) is divided by 23?
21
Let t(p) = -p**3 - 7*p**2 + 48*p + 79. What is the remainder when 283 is divided by t(-11)?
3
Let a(v) = v**3 + 17*v**2 + 11*v - 28. Suppose -90 = 5*k - 5*m, 102 = -5*k - m + 24. Calculate the remainder when 194 is divided by a(k).
38
Suppose 64 = 2*q + 4*t - 38, -2*t = -4*q + 184. Suppose 37*z = 23*z + 266. Calculate the remainder when q is divided by z.
9
Let m = 17148 - 17067. What is the remainder when 1501 is divided by m?
43
Suppose 65*x - 1250 = 61*x + 2*q, 5*q + 1247 = 4*x. What is the remainder when x is divided by 100?
13
Let z(o) = -o**3 - 6*o**2 - 2*o + 3. Let k be z(-6). Let x = -12 + k. What is the remainder when 97 is divided by 5*x/5 - -22?
22
Suppose 10 = 3*r + w - 0*w, -2*r + 20 = -2*w. Suppose r*u = 5*i + 280, -5*i + i = -u + 68. What is the remainder when 256 is divided by u?
48
Let p = -1288 - -2168. Suppose -5*j + 4*m + p = 0, -628 = -5*j + m + 267. Suppose 13*t - 19*t = -j. What is the remainder when 84 is divided by t?
24
Let o = 4 + -4. Suppose 0 = 4*c + 4*g - 436, o = -8*c + 4*c - 5*g + 440. Let a = c + -60. Calculate the remainder when a is divided by 17.
11
Suppose -3904 - 5616 = -34*o. What is the remainder when o is divided by 123?
34
Let u = -27 + 52. Let l(o) = -2*o + 11. Let c be l(10). Calculate the remainder when (3/c)/((-4)/1164) is divided by u.
22
Let q(t) = 14*t + 315. Calculate the remainder when 991 is divided by q(-22).
4
Let v(x) = -x**3 + 4*x**2 + 5*x + 3. Suppose -2*i = -6, 7 = 2*g + i - 2*i. What is the remainder when 8 is divided by v(g)?
2
Suppose 9333*u + j + 180 = 9336*u, 4*u = -3*j + 305. Suppose 3*a + 2*m - 57 = 51, -3*a + 2*m + 96 = 0. What is the remainder when u is divided by a?
31
Let t be ((-2)/6*1)/((-287)/24969). Suppose 21*m - t*m = -984. What is the remainder when m is divided by 21?
18
Let b = -441 - -464. Let x = b - -15. What is the remainder when x is divided by 3?
2
Suppose 0 = -o - 3*o. Suppose o = -2*y - 25 + 81. What is the remainder when (-1736)/(-22) + 11316/10373 is divided by y?
24
Suppose -9*w = 8*w - 51. Suppose 4*g + 4*v - 72 = 0, g + 48 = 4*g - w*v. What is the remainder when 100 is divided by g?
15
Let i(a) be the third derivative of -43*a**4/6 - a**3/6 - 256*a**2. Calculate the remainder when i(-3) is divided by 14.
11
Suppose -7 = -5*l - 2. Calculate the remainder when 134 is divided by ((-4)/3)/((14/(-483))/l).
42
Suppose 19*t = 14*t + 1530. Suppose -6*s = -12*s + t. Calculate the remainder when s is divided by 11.
7
Suppose 39*z - 7273 = -999 + 1799. Let t(d) = d**2 + 18*d + 27. What is the remainder when z is divided by t(-20)?
6
Suppose -5*x + 286 = -18*x. Let v = 36 - 18. What is the remainder when (33/x)/((-4)/232) is divided by v?
15
Let t(d) = -d. Let b(j) = -3*j - 26. Let h(m) = 4*b(m) - 20*t(m). Calculate the remainder when 23 is divided by h(15).
7
Let j = 56 - 332. Let q = j - -376. Calculate the remainder