ded by y.
7
Calculate the remainder when 834 is divided by -1*(-1926)/9 + 14 + -11 + 6.
165
Suppose 0 = k + 7, -49*d + 54*d + k - 1448 = 0. Suppose -4*o + 2*q + 92 = 0, -3*o - 4*q - 34 = -5*o. What is the remainder when d is divided by o?
16
Let n(i) be the first derivative of i**4/4 + 13*i**3/3 - 3*i**2/2 - 32*i - 56. What is the remainder when 160 is divided by n(-13)?
6
Suppose 0 = 4*g + 36 - 132. Let j = -555 - -323. Calculate the remainder when (-2 - j/(-20))*-5 is divided by g.
20
Suppose 3*f - 5513 = -4*z, 4*z = f - 945 - 882. Calculate the remainder when f is divided by 915.
5
Suppose -3*a = -2*v + 15, -a + 0 - 5 = v. Let s be (6*100)/a - 3. Calculate the remainder when s*(5 - (-34)/(-6)) is divided by 30.
22
Suppose -w = 5*a - 40, -5*a + w + 77 = 27. Calculate the remainder when 10*a + 13 + -9 is divided by 49.
45
Let c(b) = -4*b**3 - 50*b**2 - 15. What is the remainder when c(-14) is divided by 384?
9
Let r = 249 + -254. Let x(a) = 4*a**2 - a - 25. Calculate the remainder when x(r) is divided by 24.
8
Calculate the remainder when 23 + (-2 + 26 - -612) is divided by 224.
211
Let c(i) = -i**3 + 7*i**2 - 4*i + 10. Let f(m) = -17 + 3*m - 12*m - 4. What is the remainder when f(-9) is divided by c(6)?
16
Let y(u) = -1825*u - 154. Calculate the remainder when y(-1) is divided by 38.
37
Let g = 91 + -37. Suppose -5*a = -b - 272, -a - b + 18 + 40 = 0. Let v = a + g. What is the remainder when v is divided by 28?
25
Let l(a) = -3522*a - 66772. Let y = 34 + -13. What is the remainder when l(-19) is divided by y?
20
Let o(v) = -v**3 + 31*v**2 - 65*v + 95. Let t be o(29). Let h = t - -150. What is the remainder when 161 is divided by h?
35
Suppose 0 = 56*y + 67 + 885. Let h(r) = 2*r. Let p be h(-4). Let q = p - y. Calculate the remainder when q is divided by 4.
1
Let f(c) = -c**2 + 5*c + 28. Let t be f(8). Suppose -t*n = 5*j - 520, -4*j = -3*n - 560 + 175. What is the remainder when j is divided by 53?
47
Calculate the remainder when 365 is divided by 63 - (-6)/(-4)*(-120)/36.
25
Let p be (2 + 136)/(1 + (-14)/20). Suppose p = -5*q + h, 2*q - 2*h = -165 - 19. Let z = -65 - q. Calculate the remainder when z is divided by 11.
5
Let u(o) = o**2 - 2*o - 5. Suppose 0 = -5*d - 5*l + 1415, -7*l + 839 = 3*d - 2*l. What is the remainder when d is divided by u(-7)?
56
Suppose 5*f + 25 = 10*f. Suppose f*n - 888 + 643 = 0. What is the remainder when 585 is divided by n?
46
Let b be (-4026)/21 - 2/7. What is the remainder when b/(((-8)/6)/2) is divided by (-1*12/2)/((-420)/4060)?
56
Let f(g) = -682*g + 1379. Calculate the remainder when 76/3 - (-1)/(-3) is divided by f(2).
10
Let r = 6885 + -6737. Calculate the remainder when 297 is divided by r.
1
Suppose -3*j = -30 - 15. Let r be -45*(-4)/((-12)/(-9)). Let h = r + -2. What is the remainder when h is divided by j?
13
Suppose -4*p + q = -83, 0 = 5*p + 15*q - 10*q - 85. What is the remainder when 583 is divided by p?
3
Suppose 3 = -3*k + 15. Suppose -s + 3*s - 62 = k*f, -s - f = -28. Calculate the remainder when s is divided by -1 + -3*(368/(-48) - -4).
9
Let j(d) = 167*d - 333*d + 197*d - d**2 + 255. Calculate the remainder when j(36) is divided by 26.
23
Let w = -510 - -587. Suppose -13 = -90*q + w*q. Calculate the remainder when 28 is divided by q.
0
Suppose 0 = 4*s - 3*x - 103, -s = -5*x - 5 - 8. Let j be 330/35 + (-12)/s. Let i = j + 38. What is the remainder when i is divided by 12?
11
Let v(t) = 55*t - 2451. Let m(p) = p**3 - 4*p**2 - 1. Let k be m(5). Suppose 0 = 2*u + k - 100. Calculate the remainder when v(48) is divided by u.
37
Let m = 64 - 33. Suppose 5462 = -33*z + 19124. Suppose 27*l - 4*l - z = 0. Calculate the remainder when m is divided by l.
13
Suppose -2*g + 74 = 4*j, 3*j + 900*g = 897*g + 66. Calculate the remainder when 433 is divided by j.
13
Let h be 32219/(-145) + (-2)/20*-2. Let j = h - -232. Suppose 0*x + x = 13. Calculate the remainder when x is divided by j.
3
Suppose 3*t - 3*m + 78 = 0, 0 = -2*m - 6 + 10. Let f be (231/14)/((-1)/t). Suppose -19*x - f = -23*x. Calculate the remainder when x is divided by 26.
21
Suppose -54*d = -55*d + 10. Let z be d + -8 - (2 - 30). What is the remainder when 10 is divided by z/(-9)*(-54)/30?
4
Suppose 20*j + 1068 + 80 = 102*j. What is the remainder when 12346 is divided by j?
12
Suppose 133*w - 49*w - 7812 = 0. What is the remainder when 137 is divided by w?
44
Suppose -2*j + 206 = -24. Suppose -t + 2*t - g - 45 = 0, j = 2*t + 3*g. Let n(w) = w**2 - 12*w + 17. What is the remainder when t is divided by n(12)?
16
Suppose 18620 = 54*j + 86*j. What is the remainder when 455 is divided by j?
56
Suppose -371*v + 14562 + 87463 = 0. Calculate the remainder when v is divided by 4.
3
Let m(x) = -27*x**3 + 2*x**2 + 57*x + 185. Calculate the remainder when m(-3) is divided by 191.
188
Suppose 81*b - 732*b - 699*b + 0*b + 14850 = 0. Let o = 291 + -30. Calculate the remainder when o is divided by b.
8
Let f be ((-2)/2)/(16 - 17). Let d be 1/(-5) - (144/5 - f). Let y = 65 + d. What is the remainder when y is divided by 21?
16
Let m = -639 + 665. Suppose -19 = m*w - 383. Let k(d) = -2*d**3 - 2*d**2 - d + 2. What is the remainder when k(-3) is divided by w?
13
Suppose 0 = 9*b - 344*b + 337345. Calculate the remainder when b is divided by 111.
8
Suppose 19*u = 45*u - 52. Let t = -24 - -55. Calculate the remainder when t is divided by (-6 + 7)*(5 + u).
3
Let r = -580 - -592. What is the remainder when 547 is divided by r?
7
Suppose -2*j - 2492 = -11*j - f, -3*j + 852 = 3*f. Calculate the remainder when j is divided by 49.
31
Let n = -17 + 29. Let i = -23 - -41. Let r = i - n. What is the remainder when 12 is divided by r?
0
Let s(i) = -i**3 + 8*i**2 + 14*i - 2. Let o be s(9). Let m = o + -38. Suppose 3*w = -w - 4*u, 3*w - m = -2*u. What is the remainder when 74 is divided by w?
4
Let w(j) = -j**2 + 25*j + 13. Let p be w(17). Let h = -31 - -7. Let d = h + p. Calculate the remainder when d is divided by 32.
29
Let a(g) = -3*g**3 + 42*g**2 + 29*g - 140. What is the remainder when a(14) is divided by 73?
47
Let y(l) = 350*l**2 + 10495*l - 137. Suppose -2*n = -5*n + 6. Suppose -5*d + 573 = z, 3*d - 3*z = n*z + 355. What is the remainder when d is divided by y(-30)?
11
Suppose 0 = -69*a - 1319 + 3044. What is the remainder when 789 is divided by a?
14
Let c = -211 - -215. Suppose -2*k + g = -9, -5*k + 8*k - 17 = -2*g. Calculate the remainder when 4 - 3/(c - 3) - -10 is divided by k.
1
Suppose 717 = 61*b - 259. What is the remainder when (0 + -4 - -5)/(1/28) is divided by b?
12
Suppose 0 = 12*i - 14*i + 1460. Suppose -7*g = -12*g + i. What is the remainder when g is divided by 40?
26
Let a = 335 - 199. Let w(h) = -2*h**2 + 15*h - 15. What is the remainder when a is divided by w(2)?
3
Suppose -16*h = -12*h - 9*h + 110. Calculate the remainder when 109 is divided by h.
21
Suppose -u + 10 = 2*q, u - 2*u + 3*q - 5 = 0. Let f = 19 + -19. Suppose 3*y + o - 34 = 13, 5*y - 4*o - 101 = f. Calculate the remainder when y is divided by u.
1
Suppose -2*r + 7 = 1. Suppose -r*q - 2*w - 45 = -4*q, -3*q = 5*w - 190. Calculate the remainder when q is divided by 8.
7
Let p = 3503 + -3296. What is the remainder when p is divided by 2?
1
Suppose 0*q + 19*q - 2850 = 0. Let j(t) = -t - 3. Let u be j(0). Let v(h) = 3*h**2 - 3*h + 2. What is the remainder when q is divided by v(u)?
36
Suppose -3*p + 16 = p. Suppose 0 = 5*l + 2*g - 10, -25 = l + p*l - 5*g. Suppose 6*i - 1 - 11 = l. Calculate the remainder when 6 is divided by i.
0
Let q = -10683 + 10697. Calculate the remainder when 2546 is divided by q.
12
Suppose 3*i + 181 = -576*j + 581*j, 2*j + 4*i = 88. Calculate the remainder when 3292 is divided by j.
24
Suppose -17 = -15*x + 103. Suppose -2 = -2*s - 5*o + x, 0 = 2*s - o - 22. What is the remainder when 28 is divided by s?
8
Let m = 33582 + -19214. What is the remainder when m is divided by 15?
13
Suppose -r + 6*y + 48 = 0, -24*r + y - 242 = -28*r. Calculate the remainder when 2097 is divided by r.
57
Suppose 23*i - 18*i - 65967 = -28*i. Calculate the remainder when i is divided by 396.
19
Suppose 107*v - 101*v - 30 = 0. What is the remainder when 2 + -7 + (32 - v) is divided by 7?
1
Let x = 20077 - 18290. Calculate the remainder when x is divided by 257.
245
Let k(v) = -v**2 + 226*v + 