e remainder when 83/i + (-1)/2 is divided by 14.
13
Suppose 22*o + 82 = 11500. What is the remainder when o is divided by 251?
17
Let y = 2485 + -2440. Calculate the remainder when 441 is divided by y.
36
Suppose -3*a + 29 = 2*j, -4*a = j - 6*j + 38. Calculate the remainder when 56 is divided by j.
6
Let t(q) = 7*q**3 + 10*q**2 - 18*q - 12. Let w(z) = z**3 + z**2 - z. Let x(j) = t(j) - 6*w(j). What is the remainder when x(-5) is divided by 14?
9
Suppose -8*b + 17*b - 117 = 0. What is the remainder when 90/(-1 + 2) - 0 is divided by b?
12
Calculate the remainder when 410 - (5 - -5 - 3) is divided by 37.
33
Suppose 0 = 4*p - 2*i - 6, 2*p = -5*i + 18 + 15. Let t = 23 + -23. Calculate the remainder when (-6 - t)*(-10)/4 is divided by p.
3
Let h(y) = 15*y + 18. Let l(f) = -f - 1. Let d(n) = -h(n) - 18*l(n). Calculate the remainder when (-26)/(-4) - (-2)/4 is divided by d(1).
1
Let b(l) = 6*l + 30. Let g be b(-3). Suppose h - 4 = 3*h, -2*f - 2*h = -2. Let a = g - f. What is the remainder when 16 is divided by a?
7
Let l(n) = -n**3 + 16*n**2 - n + 49. What is the remainder when 73 is divided by l(16)?
7
Let d(t) = -49*t - 34. Calculate the remainder when 191 is divided by d(-2).
63
Let p be (16/6)/((-2)/(-3)). Suppose p*c - 76 = -0*c. What is the remainder when c is divided by (10/12)/(75/450)?
4
Suppose -366 = 13*i - 19*i. What is the remainder when 243 is divided by i?
60
Let n be 13*20/(3 - -1). Let l = n + -15. What is the remainder when l is divided by (34/6)/((-1)/(-3))?
16
Let w(d) = -2*d**3 - 118*d**2 - 2*d - 91. Calculate the remainder when 374 is divided by w(-59).
23
Suppose -i + 2*x = -8, 8*i - 5*x = 4*i + 29. What is the remainder when 40 is divided by i?
4
Let v = 253 + -210. Suppose 2*a - 336 = -0*a. What is the remainder when a is divided by v?
39
Let m = -28 + 35. Calculate the remainder when m is divided by 4.
3
Let n(t) = 2*t**2 - 48*t - 83. What is the remainder when n(27) is divided by 43?
36
Suppose -156 = 3*c - 2*i + i, 0 = -c - 4*i - 39. What is the remainder when 53 is divided by (-708)/(-51) + (-6)/c?
11
Suppose -d - 12 = -3*d. Let l(g) = 2*g**2 - 5*g - 2. Let z = -16 + 21. What is the remainder when l(z) is divided by d?
5
Let c(p) = 124*p**2 - 6*p - 7. What is the remainder when c(-2) is divided by 12?
9
Calculate the remainder when (695/15)/((-1)/9*-3) is divided by 47.
45
Suppose -3*a - 80 = -2*s, -5*a + 12 = -s + 52. Suppose 2749 = -9*k + 3802. Calculate the remainder when k is divided by s.
37
Let d be (-2073)/45*-2 - 8/60. Suppose d*g + 175 = 97*g. Suppose -24 = -j - 6. Calculate the remainder when g is divided by j.
17
Suppose -111 = -7*b + 624. Calculate the remainder when b is divided by 57.
48
Let s(y) = 2*y**2 + 22*y + 3. Let c be s(-11). Calculate the remainder when 143 is divided by 2 + (0 - c) - -50.
45
Suppose 0*o + 112 = 5*r - o, 5*r - 100 = 5*o. Suppose -q - 2*g = -9 - 28, -g + 39 = q. What is the remainder when q is divided by r?
18
Suppose -4*r + t = 2*t + 4, 2*r - 16 = -5*t. Calculate the remainder when 11 is divided by 2 - 1 - (-2 - r - 4).
1
Let g = 18 + -32. Let t(n) = -n**2 - 25*n - 150. Let k be t(-9). Let f = k - g. What is the remainder when 29 is divided by f?
5
Let l(j) = -5*j - 7. Suppose 4*s + s - 35 = 0. Suppose -s - 6 = -p. What is the remainder when l(-6) is divided by p?
10
Suppose o + f = 2*f + 81, 5*f = o - 93. Let c = o + -43. Suppose -6 = -n + 3. Calculate the remainder when c is divided by n.
8
Let c = 501 - 151. What is the remainder when c is divided by 9?
8
Suppose -34*g + 36*g - 3*y - 1547 = 0, 0 = -2*y - 6. Calculate the remainder when g is divided by 110.
109
Suppose 0*q + 218 = -3*q + 5*l, 4*l - 280 = 4*q. Calculate the remainder when 50 is divided by q/(-154) - (-95)/7.
8
Suppose -242 = 192*b - 203*b. Let u(o) = o + 2. What is the remainder when b is divided by u(4)?
4
Calculate the remainder when 80 is divided by 18 + 5 - -5*(-2)/5.
17
Suppose 37*t - 41*t = -164. Let o(l) = 121*l. What is the remainder when o(1) is divided by t?
39
Let l = 83 - 93. Calculate the remainder when (-525)/l + (-1)/(-2) is divided by 9.
8
Let o(t) = t**2 + 17*t + 12. Let j be o(-16). Let n = 43 - j. Calculate the remainder when n is divided by 17.
13
Let n(h) be the first derivative of h**4/4 - 2*h**3/3 - h**2 + 2*h - 5. Let r be n(2). Calculate the remainder when 35 is divided by -36*(-4 + (-7)/r).
17
Suppose 3*z = 2*y + 75, 0*y - 120 = -5*z + 5*y. Let m = z + -15. Calculate the remainder when 32 is divided by m.
8
Suppose -2*s + 0*s + 3*u = 27, -4*s - 78 = 2*u. Let p = -11 - s. What is the remainder when 50/(-10) - (-372)/12 is divided by p?
5
Let b = 484 + -215. What is the remainder when b is divided by 68?
65
What is the remainder when 221 is divided by ((-9152)/(-715))/(4/10)?
29
Calculate the remainder when -6 - ((8 - 6) + -120) is divided by 35.
7
Let f = 1680 + -1674. Let p = -4 + 6. Suppose -71 = -4*q - 4*x - 15, -p*x = 3*q - 37. What is the remainder when q is divided by f?
3
Let f(h) = 33*h - 54. Calculate the remainder when f(5) is divided by 61.
50
Suppose 0 = o + 16*x - 13*x - 1041, -3*x = -5*o + 5277. What is the remainder when o is divided by 44?
41
Let o be -308*(-3)/24*10. What is the remainder when (-78)/(-1) + 0 + -1 is divided by o/20 - (-3)/4?
17
Let i = 1362 - 1319. What is the remainder when 900 is divided by i?
40
Let o(z) = z**2 + 15*z + 88. What is the remainder when 169 is divided by o(-9)?
33
Suppose 9 - 24 = -3*p, 2*p + 2 = -4*g. Let m be 2/(g*6/189). Let u = 22 + m. Calculate the remainder when 2 is divided by u.
0
Calculate the remainder when 8/(-64)*-8*(-38)/(-1) is divided by 13.
12
Suppose 0 = -h + 4, 3*h + 41 - 203 = -5*o. Let r(j) = j + 6. Calculate the remainder when o is divided by r(3).
3
Suppose 2*m - 12 = -l + 22, -3*l + 72 = -4*m. What is the remainder when 53 is divided by l?
25
Let u = -477 + 507. Calculate the remainder when 178 is divided by u.
28
Let a be 58 + (-2 - 3 - -3). Let h = 81 - a. Calculate the remainder when 224 is divided by h.
24
Suppose -490 = -3*i - 2*f, 12*i = 8*i - f + 645. Calculate the remainder when i is divided by 42.
34
Suppose 7470 = 2*i + 81*i. What is the remainder when 342 is divided by i?
72
Let j = 224 - 160. Calculate the remainder when j is divided by 11.
9
Calculate the remainder when 1809/(-18)*12/(-9) is divided by 42.
8
Let l be 0*(30/(-12) - -2). Let q = l + 5. What is the remainder when 6 is divided by q?
1
What is the remainder when 92 is divided by (-9)/2*(-7524)/1539?
4
Let f be (-21)/(-14)*((-8)/3)/(-1). Suppose 3*y + 5 = 3*z - 10, -f*z = 3*y - 20. What is the remainder when z is divided by 5?
0
Suppose 16 = -4*a - 228. Let t = 92 + a. Let h(x) = -8*x. What is the remainder when t is divided by h(-1)?
7
Suppose 0 = -z - 29*y + 24*y + 71, 4*z = 2*y + 306. What is the remainder when 2810 is divided by z?
74
Suppose -49*d + 931 = -1274. Calculate the remainder when d is divided by 16.
13
Suppose -3*d = -4*k + 9, k = -0*k + 5*d - 19. Suppose -k*f + 75 = 27. What is the remainder when 12 is divided by f?
4
Let f = 24 + 76. What is the remainder when f is divided by 28?
16
Suppose -28 = -5*d + d. Suppose -77 = -a - 12. Suppose a = 4*g - 11. Calculate the remainder when g is divided by d.
5
Calculate the remainder when 958 is divided by (-706)/(-11) - 14/(-231)*-3.
62
Let r(y) = y**2 + y. Let u be r(-2). Suppose 5*i + 55 = 3*b - 0*i, 0 = -b - u*i + 22. What is the remainder when 37 is divided by b?
17
Let w = -201 - -129. Calculate the remainder when 4/18 + (-3368)/w is divided by ((-1)/(-3))/((28/(-300))/(-7)).
22
Suppose 5*u + 3 + 12 = 0. Let t = 8 - u. Calculate the remainder when 19 is divided by t.
8
Suppose 3*z + 3*a = 39, 0*a = 3*z - 2*a - 24. Let q be (-5 + -3)/((-4)/6). Suppose 2*x - q = z. Calculate the remainder when x is divided by 4.
3
Let c(n) = n**3 + 7*n**2 - 10*n + 1. Suppose -96*q + 101*q = -40. Let a = 159 + -112. What is the remainder when a is divided by c(q)?
13
Let m(p) = 4*p - 5. Let s be 1*4 + (-6)/3. Let g be m(s). Suppose 0*y = -g*y + 24. What is the remainder when 15 is divided by y?
7
Suppose 96 = 5*m - 154. What is the remainder when 1625/m + (-3)/(-2) is divided by (-130)/(-11) - 4/(-22)?
10
Suppose -189 = -8217*m + 8208*m. Calculate the remainder when 22 is divided by m.
1
Let x = 