
10
Let i(h) = -115*h + 615. Calculate the remainder when i(3) is divided by 46.
40
Let r = 3 + -119. Let y = r - -120. Suppose -w + 185 = y*w. What is the remainder when 146 is divided by w?
35
Let w(j) = -j**3 + 18*j**2 - 56*j + 11. Let d be w(14). Suppose 0 = -2*u - d*u + 52. Suppose -5*p + 4 = -16. Calculate the remainder when p is divided by u.
0
Suppose -144 = -5*g + 606. Suppose -z - g = -6*z. Calculate the remainder when z is divided by -11 - (3393/(-126) - 4/56).
14
Let t(s) = -s + 67. Suppose 86 = -229*d + 231*d. Suppose -d - 3 = -2*n. Calculate the remainder when t(0) is divided by n.
21
Let n = 5516 + -5495. What is the remainder when 1277 is divided by n?
17
Suppose 4*s - 154 = d, 191 = -21*s + 26*s - d. What is the remainder when 1023 is divided by s?
24
Let f = -3000 + 3969. Calculate the remainder when 2912 is divided by f.
5
Let b(k) be the first derivative of -1/2*k**2 + 17*k + 18. Calculate the remainder when 16 is divided by b(8).
7
Suppose -8*s = 5*k - 5*s - 699, -408 = -3*k + 2*s. Calculate the remainder when k is divided by 35.
33
Let q = -5796 + 5993. Calculate the remainder when q is divided by 84.
29
Suppose 0*j + 3*j - 69 = 0. Suppose 20 = -4*q, 70*q - 1177 = -4*z + 67*q. Calculate the remainder when z is divided by j.
22
What is the remainder when 5233 is divided by (90/225)/((-1)/(-85))?
31
Suppose 4477*j - 4530*j = -10441. Calculate the remainder when 4135 is divided by j.
195
Let z = 20 + -16. Let k = 20 - 34. Let l(h) = h**3 + 13*h**2 - 13*h + 26. Calculate the remainder when l(k) is divided by z.
0
Suppose -63*a + 744 = 67*a - 127*a. What is the remainder when a is divided by 10?
8
Let a = 5902 + -5773. Calculate the remainder when 228 is divided by a.
99
Let z(m) = -76*m - 1098. Let d(c) = 63*c + 4. Let q be d(4). Suppose -4*i + 924 = q. Calculate the remainder when i is divided by z(-15).
41
Let k be (-1*102)/((-7)/(-4) + -1). Let q = 141 + k. Suppose q*u - 71 - 47 = -2*a, -329 = -5*a - 4*u. What is the remainder when a is divided by 4?
1
Suppose -291*v = -330*v + 2301. Calculate the remainder when v is divided by 32.
27
Suppose -406*o + 11895 = -195*o - 198*o. What is the remainder when o is divided by 303?
6
Calculate the remainder when ((-35850)/(-375))/((-10)/(-25)) is divided by 26.
5
Let r(k) = -20*k**3 - 9*k**2 + 56*k + 381. What is the remainder when r(-6) is divided by 1346?
3
Suppose 66810 = -32*q + 66*q. Calculate the remainder when q is divided by 16.
13
Suppose -203 = -25*f - 4*f. Suppose -w - 6 = -4*y + 14, y = 5*w + 24. Suppose -y*l + 130 = l. Calculate the remainder when l is divided by f.
5
Let k = -1183 - -1198. Calculate the remainder when 372 is divided by k.
12
Let c(q) = 2*q + 4. Calculate the remainder when 4/(-7) + 9090/(-105)*-1 is divided by c(2).
6
Suppose -6*l + 382 - 346 = 0. Let j(d) = -8*d + 14. What is the remainder when j(-7) is divided by l?
4
Suppose 14*z + 8*z - 748 = 0. Suppose z - 8 = 2*f. Calculate the remainder when f is divided by (-15)/(-4) - (-1)/4.
1
Suppose -3*b = -5*j + 487, 3*j - b = -56 + 345. Suppose -3*u - 513 = -3*a, -3*u = -4*a - 5*u + 666. What is the remainder when j is divided by (a/49 - 0)*7?
23
Suppose -544*p + 261*p = -54053. Calculate the remainder when p is divided by 51.
38
Suppose -2*v - 90 = -7*v. Suppose 5*q - t = -518, -256 = 2*q + 5*t - 38. Let f = -72 - q. What is the remainder when f is divided by v?
14
Suppose -n - 296 = -107. Let x = 211 + n. Calculate the remainder when x is divided by 9.
4
Let b(p) = -p**3 - 9*p**2 - 19*p - 50. What is the remainder when 84 is divided by b(-8)?
8
Let f(c) = -51*c + 396. What is the remainder when f(6) is divided by 85?
5
Suppose 21*i + 3*i - 9*i - 120 = 0. What is the remainder when 5292 is divided by i?
4
Suppose 55*p = -222*p - 7*p + 307856. What is the remainder when p is divided by 28?
20
Let a = 5281 + -4572. What is the remainder when a is divided by 102?
97
Suppose -x + 2*w = -0*w + 5, 4*x = -4*w - 32. Let a(i) = -4*i - 18. What is the remainder when 83 is divided by a(x)?
3
Let g = 932 + -452. Suppose s = 31*s - g. What is the remainder when 157 is divided by s?
13
Suppose 0 = -12*y + 345 + 15. Calculate the remainder when 658 is divided by y.
28
Let x = -122 + 221. Suppose 11*b + 444 = 7*b. Let n = b + 162. What is the remainder when x is divided by n?
48
Suppose f = -4*r + 42 + 236, 0 = 2*f - 2*r - 506. Suppose -4*h + 7*h = f. What is the remainder when h is divided by 15?
11
Suppose -2*s - j - 11 = 2*j, 4*s - 33 = 5*j. Suppose s*b + 3 - 1 = 0. What is the remainder when 188 is divided by ((-8)/10)/b*950/20?
36
Calculate the remainder when 12100 + 5 + 4 + 64 + -58 is divided by 52.
51
What is the remainder when (-15)/(-105)*7 + 514 is divided by 128?
3
Let w = -119 - -189. Let d(i) = i**3 - 7*i**2 - 10*i + 10. Let o be d(8). Calculate the remainder when w is divided by o/(-1 - 10/(-15)).
16
Suppose 2*d = 5*d - 4*k - 39, 5*d - 65 = -2*k. Let g = -20 + -7. Calculate the remainder when (3*6)/(g/(-72)) is divided by d.
9
Suppose -3*z + 11 = 2*y, -7 = 2*z - 6*z + 5*y. Suppose 4*g = -5*n + 111, 0*g - z*n - 111 = -5*g. What is the remainder when 28 is divided by g?
4
Let x(y) = -y**2 - 5*y - 7. Let w be x(-2). What is the remainder when w - 3056/(-14) - (-30)/(-105) is divided by 10?
7
Let z(d) = -144*d - 6832. Calculate the remainder when z(-57) is divided by 15.
11
Let x = -1709 + 1920. What is the remainder when x is divided by 37?
26
Let r(u) = -u**3 - 32*u**2 - 33*u - 54. Let k be r(-31). Suppose -k*d + 3*d + 2*f = -122, -5*d + 3*f = -123. Calculate the remainder when 85 is divided by d.
13
Let x(d) = -2*d**3 + 19*d**2 + 10*d + 12. Let p = 50 - 40. Calculate the remainder when 214 is divided by x(p).
10
Let j(a) = -5538*a**3 + 3*a**2 + 16*a + 15. What is the remainder when j(-1) is divided by 23?
20
Let m = 15 + -15. Suppose -3*f + 12 = -m*f. Let o = -554 - -557. What is the remainder when f is divided by o?
1
Let d = 28 - 20. Suppose 55 - 685 = -42*o. What is the remainder when o is divided by d?
7
Let o(x) = 22*x + 2. Let r be 107*(-3)/27 - 9/81. What is the remainder when o(3) is divided by 2/(-3)*630/r?
33
Suppose 4*l = -4*c + 24, -5*l + 65 = 2*c - 4*c. Suppose -48*q + 68*q - 520 = 0. What is the remainder when q is divided by l?
4
Let f(w) = -2*w + 6. Let a be 6/((-18)/(-15)) - 2. Let y be f(a). Suppose 4*j + j - 25 = 0, l + 2*j - 16 = y. What is the remainder when 21 is divided by l?
3
Let f be (3 + (-40)/14)/(5/35). Suppose 0 = 17*j + f - 256. What is the remainder when 58 is divided by j?
13
Suppose -4*a = 571*j - 570*j - 9686, 2*j = 5*a - 12127. Calculate the remainder when a is divided by 106.
91
Let o(k) = -k**3 - 5*k**2 + 2*k + 18. Suppose 0 = 5*t + 21 - 1, -f + 2*t = 0. What is the remainder when o(f) is divided by 18?
14
Suppose 3*t + 643 = 649, -105 = -l + 4*t. Calculate the remainder when l is divided by 34.
11
Let t(j) = 88*j - 6*j**3 - 3 - 41*j - 44*j + 34*j**3. Calculate the remainder when t(1) is divided by 10.
8
Let m be -1 + -319 + 0/2. Let r be (473/(-4))/((-137)/548). Let i = m + r. What is the remainder when i is divided by 39?
36
Let n(m) = 3*m**2 + 71*m - 21. Let p be n(-24). Suppose p*h - 1014 = -3*b, -5*h + 1690 = 5*b - 3*b. Calculate the remainder when h is divided by 34.
32
Suppose 2644 = -8*b - 260. Let p = -299 - b. What is the remainder when p is divided by 35?
29
Suppose 5*z - 36 = z. Let k(o) = -o**2 + 3*o + 4. Let b be k(3). Suppose w = -0*w - 4*a + 30, 4*a - b = 0. Calculate the remainder when w is divided by z.
8
Suppose -3*y + 320 = -8*y. Let r = -31 - y. Suppose 10*o = -5 + 95. Calculate the remainder when r is divided by o.
6
Calculate the remainder when (4/9*75/50)/((-2)/(-939)) is divided by 55.
38
Suppose -5*r = 4*z - 951, -3*r - 7 + 4 = 0. Calculate the remainder when z is divided by 68.
35
Suppose 0 = 2*m - m - 4. Suppose -m*w = 5*b - 836, 2*w + 234 = -4*b + 898. What is the remainder when b is divided by 28?
24
Let r = 28720 + -28321. What is the remainder when r is divided by 197?
5
Suppose 131*o = -2*c + 127*o + 376, 4*c + 4*o - 756 = 0. Let f = 250 + -238. Calculate the remainder when c is divided by f.
10
Calculate the remainder when 6350 is divided by 840/180*(-2 - (-4089)/6).
8
Suppose 1560 = 23*l + 111. Calculate the remainder when 150 is