 the remainder when 366 is divided by j?
66
Suppose d + 8*t + 591 = 7*t, -5*d - 3*t = 2961. Calculate the remainder when d/(-8) - ((-72)/32)/(-9) is divided by 17.
6
Let j(w) = -8*w**2 + 96*w - 209. What is the remainder when j(8) is divided by 194/10 - 2/5?
9
Let y = 1453 + 4416. What is the remainder when y is divided by 22?
17
Suppose -2*y + 3*t + 354 = 0, -6*y - 907 = -11*y + 2*t. What is the remainder when 467 is divided by y?
101
Suppose -27*u + 11580 = -5268. Suppose -u = 5*r - 11*r. What is the remainder when r is divided by 12?
8
Suppose -5*k = v - 2085, -2*v + 2*k = -5907 + 1725. What is the remainder when v is divided by 23?
20
Let w(r) = -6*r - 15. Let m be w(-5). Let n(d) = 4*d**2 + 32 - 2*d**2 + m*d - 13*d. What is the remainder when n(0) is divided by 12?
8
Let a be 26/(-13) + 4 - (-412)/2. Suppose 0 = -4*x - q + 429, -5*x - 3*q + a + 337 = 0. What is the remainder when x is divided by 14?
8
Let d(p) = 37*p - 8. Let w = 88 - 69. Calculate the remainder when d(2) is divided by w.
9
Suppose -10 = -2*x + 98. Suppose 4*u + b - x = 0, -5*u + 0*b = -2*b - 74. Suppose -17*m + 53 = -15. Calculate the remainder when u is divided by m.
2
Let r be (0 - 135) + 7/(-21)*0. What is the remainder when 36 is divided by (-10)/35 + r/(-7)?
17
Calculate the remainder when 1619 is divided by ((-7 - 207/(-18)) + -7)*-6.
14
Suppose 0 = -2821*r + 2824*r + 21, -3*r - 753 = -2*y. Calculate the remainder when 756 is divided by y.
24
Let u = 15 - 7. Let t = u + 10. Suppose -69 = -c + 4*z, -5*c + 2*z = -3*c - 108. Calculate the remainder when c is divided by t.
13
Suppose -7*u + 576 - 184 = 0. Let n(r) = 63*r**2 - 11*r + 17. What is the remainder when n(2) is divided by u?
23
Suppose -23*x + 5*r = -26*x + 101, -5*r = -4*x + 193. Let f(d) = 15*d - 13. Let h be 15 + 9/(-2 + -1). What is the remainder when f(h) is divided by x?
41
Let t(c) = 468*c - 3258. What is the remainder when 7919 is divided by t(7)?
17
Suppose 86 + 4 = -3*m. Let j = m - -85. Suppose -3*k + j = 4*p, k = -2*p + 3*k + 38. What is the remainder when 30 is divided by p?
14
Suppose -x + 44 + 35 = -w, 4*x + 3*w - 288 = 0. Calculate the remainder when 293 is divided by x.
68
What is the remainder when 10003 is divided by (-10*1)/(((-792)/(-638))/(-18))?
143
Let i(r) = -15*r - 67. Let d be i(-19). Let x = 257 - d. Calculate the remainder when 194 is divided by x.
38
Let g(x) = -x**3 - 8*x**2 - 11*x - 7. Let i = 12 - 20. Let y = 24 + -10. What is the remainder when g(i) is divided by y?
11
Let n = -9 + 19. Suppose 2*i - 2 + n = 0, 5*h + 3*i - 3 = 0. What is the remainder when h + 0/(-4) - -12 is divided by 3?
0
Let b be ((-23)/(0 + 1))/(-1 - 0). Suppose -10*p = -b - 57. What is the remainder when (-302)/(-10) - 1/5 is divided by p?
6
Suppose -401*m + 49 = -394*m. Calculate the remainder when (-1)/3*(3 + -54) is divided by m.
3
What is the remainder when 589 is divided by (24/14 - 1) + -1 - (-232031)/4907?
25
What is the remainder when (-4040)/15*456/(-608) is divided by 168?
34
Let m(p) = -65*p**2 + 847*p - 21. Calculate the remainder when 35 is divided by m(13).
0
Suppose 3*q = 22 - 4. Let h(x) = 29*x**3 - 14*x - 15. Let j be h(-1). What is the remainder when j/(-105) - (-1034)/7 is divided by q?
4
Let i be 40/(-20) - (-2 + 3/(-1)). Let a be 5/3 - 2/i. What is the remainder when a + 43 - (16 - 14) is divided by 15?
12
Let a(o) = -o - 3. Let n be a(-4). Let p be (-38)/(-171) + n/((-9)/(-331)). Let g = p - 8. Calculate the remainder when 113 is divided by g.
26
Let v = -205 - -201. Calculate the remainder when (((-64)/4)/v)/(6/39) is divided by 13.
0
Let z = 664 - -327. Calculate the remainder when z is divided by 201.
187
Let b be 1 - (-4)/(-20)*10/2. Suppose b = 6*w + 21 - 81. Calculate the remainder when 36 is divided by w.
6
Let v(n) = 1251*n**2 - 108*n + 28. What is the remainder when v(-2) is divided by 70?
68
Suppose -502*p = -572*p + 4130. Calculate the remainder when 470 is divided by p.
57
Let o(j) = j + 8. Let f be o(-9). Suppose -430*c = -435*c + 440. Calculate the remainder when c is divided by 72/(-1 - -4) - f.
13
Let y = -64 + 52. Let f(q) = -q + 36. What is the remainder when f(y) is divided by 21?
6
Suppose 459*l - 497*l + 1976 = 0. What is the remainder when 1507 is divided by l?
51
Let d = -140 - -317. Suppose -4*s + 5*z + d = 0, 0*s + 4*s + 2*z - 198 = 0. What is the remainder when 187 is divided by s?
43
Let m = -42 - 96. Let k = -12 - m. Let v(o) = o**2. Calculate the remainder when k is divided by v(4).
14
Let m = 381 + -221. Suppose -m = -3*b - b. Calculate the remainder when b is divided by 11.
7
Let l(q) = -12*q**2 - 8 - 2*q**2 + q**3 + 2*q**2 + 12*q. Let k be l(11). What is the remainder when 47 is divided by (-1274)/(-78) + (-1)/k?
15
Suppose -5*f + 280 = -9*z + 14*z, -4*z + 230 = 3*f. Let y = -2 + 8. Let q(l) = 2*l**2 - 9*l + 4. What is the remainder when z is divided by q(y)?
18
Let m = 6 - -4. Let u = 188 + -178. Suppose -2*p + u = 0, 22 = 5*z - 2*p - 253. Calculate the remainder when z is divided by m.
7
Let f = -113 + 175. What is the remainder when f is divided by 7 + -7 + 10 - (244 - 239)?
2
Let m = -13291 + 13399. What is the remainder when 895 is divided by m?
31
Let j(r) = -9*r - 4. Let u be 10 + (1 - 1)/4. Suppose -w + 5*q = 2 + 5, 2*q - u = 4*w. Calculate the remainder when j(w) is divided by 8.
6
Let x = -5 - -40. Let o(r) = -2*r**2 + 2*r - 9. Let p be o(3). Calculate the remainder when x is divided by (8 + 98/p)*6.
15
Suppose r - 136 = -126. Suppose 3*t = -0*t - 2*y + r, -y = 2*t - 6. Calculate the remainder when 11 is divided by t.
1
Let n(f) = 5*f + 2*f**2 + 27 - 4*f - f**2 - 26 - f**3. Let y be n(3). Calculate the remainder when 6/y - 552/(-14) is divided by 20.
19
Calculate the remainder when 20430/246 - (-78)/(-1599) is divided by 76.
7
Suppose 18*p = p - 3*p + 320. Let k = 63 - -46. What is the remainder when k is divided by p?
13
Suppose 1114330 - 3322410 - 1816644 = -194*a. Calculate the remainder when a is divided by 13.
11
Let q(s) = -50*s - 51. Let h = -2110 - -2124. What is the remainder when q(-13) is divided by h?
11
Let o(q) = 25*q + 682. Calculate the remainder when 228 is divided by o(-24).
64
What is the remainder when 1608 is divided by (-9)/(45/(-25)) - (-2 + -28)?
33
Let g(t) = -20*t - 9. Let q be g(-5). Let z = q + 47. Suppose 3*a + 5*y = 278, 2*a - 2*y = z + 74. What is the remainder when a is divided by 13?
10
Suppose -4*p + 3*m = -89, m - 1 = -p + 6*m. Calculate the remainder when (-2)/((8/(-278))/2) is divided by 94/(-2)*(-26)/p.
45
Let p(y) = y - 4. What is the remainder when ((-6)/(-8)*24/27)/(452/1356) is divided by p(5)?
0
Let k(m) be the first derivative of 9*m**2/2 + 2*m - 3. Calculate the remainder when (-52)/(-234) - ((-572)/18 + 2) is divided by k(1).
8
Suppose 171 = l + 75*a - 72*a, 0 = -3*l - 5*a + 505. Calculate the remainder when l is divided by 86.
79
Suppose p - 4 + 1 = 0. Let v(d) = 7*d - 69. What is the remainder when v(13) is divided by p?
1
Let j(p) = -p**2 - 4*p - 5. Let g be j(0). What is the remainder when ((-1206)/30)/(g/25) is divided by 34?
31
Let j(o) = -o**2 + o + 90. Let v be j(10). Suppose 3 = 3*g + 3*n - 12, 4*g + n - 32 = v. Calculate the remainder when 37 is divided by g.
1
Let k(l) = -26*l - 156. Let d be k(5). Let z = d - -290. What is the remainder when 45 is divided by z?
1
Suppose 2*d - 4*r = 4*d - 12, 4*r = d. Suppose 0 = d*m + 4*j - 560, 3*j = -3 + 12. What is the remainder when 71 is divided by ((-8)/6)/(m/(-27) + 5)?
17
Let m = -26 - -31. Let t(r) = 7*r**2 + 52*r - 31. Let p(q) = 4*q**2 + 26*q - 16. Let v(x) = m*p(x) - 3*t(x). What is the remainder when v(-23) is divided by 28?
26
Calculate the remainder when ((-3822)/(-10))/((-9)/(-90)) + -1 is divided by 17.
13
Let w be -952 + (4 - 0/1). Suppose -7*z + 3*z = -b + 37, 16 = 4*z. Calculate the remainder when b is divided by w/(-34) + (-26)/(-221).
25
Suppose -32*x = -42*x - 4570. Let k = 685 + x. What is the remainder when k is divided by 11?
8
Suppose 5*v = 6*w + 3*v - 60, -5*v = 3*w - 12. Calculate the remainder when 1878 is divided by w.
6
Suppose 0 = 6*j - 213 + 555. Calculate the remainder when (-4*j/8)/((-12)/(-64)) is divided by 25.
2
Let n = -1057 + 1061. Suppose -2*b = -234 + 86. What is the remainder when b is divided by n?
2
