?
6
Suppose 2028 = 4*y + 8*g, -y - 4*g + 2028 = 3*y. Calculate the remainder when y is divided by 102.
99
Suppose 2*g + 4*w = -124, 4*g - 47 = 5*g - w. Let o(r) = 10*r + 7. Calculate the remainder when o(3) is divided by ((-1)/(-2))/((-2)/g).
11
Suppose -p - 1 = 3. Let s = 16 + p. Suppose 0 = -4*u + 3*x + 138, -22*u + 35 = -21*u - x. Calculate the remainder when u is divided by s.
9
Let w(r) = 2*r**3 - 6*r**2 - 5*r + 7. Suppose -t - 6*l - 2 = -11*l, 0 = -2*t - 5*l + 11. Suppose 96 - 12 = t*p. What is the remainder when w(5) is divided by p?
26
Let p = 196 + -161. What is the remainder when 73 is divided by p?
3
Let s(x) = x**3 + 5*x - 4. Let c(b) = b + 25. Let z be c(-21). What is the remainder when s(z) is divided by 27?
26
Suppose -12 = -d + i + 3*i, 5*d + 6 = -2*i. Suppose 4*p - 156 = -d*p. Calculate the remainder when 155 is divided by p.
38
Let r = 65 - -42. Calculate the remainder when r is divided by 27.
26
Suppose 1 - 28 = -3*z. Suppose -z*i = -2*i - 91. What is the remainder when 24 is divided by i?
11
Suppose -5*w + 164 = -w - 4*k, -3*k = 2*w - 102. Suppose -g = -75 - w. What is the remainder when g is divided by 31?
27
Suppose 4*z = 9 + 11. Suppose -z*r = -2*h - h + 182, 4*r + 128 = -2*h. Calculate the remainder when r*(15/6 + -3) is divided by 6.
5
Let g = 7 - 22. Let j = 17 + g. What is the remainder when 51 is divided by (j/(-4))/((-2)/52)?
12
Suppose 0 = -9*o + 2695 + 878. What is the remainder when o is divided by 20?
17
Let v(c) be the third derivative of -c**6/12 + c**5/30 - c**3/6 - 2*c**2. What is the remainder when v(-1) is divided by ((-5)/(-4))/(50/200)?
1
What is the remainder when 46 is divided by (-4)/(((-9)/6)/3)?
6
What is the remainder when 567 is divided by (-6)/4 + 8/(-48)*-351?
54
What is the remainder when 14 is divided by (-63)/(-6) + 90/(-36)?
6
Suppose 3*c - 12 = 0, 3*j + 2*c + 3*c - 95 = 0. Suppose -p + 6*p = 3*w + 12, -2*w + 2*p = 8. Let t = w + 17. What is the remainder when j is divided by t?
12
Suppose q + 5*v + 331 = 5*q, -5*q = 5*v - 425. What is the remainder when 109 is divided by (-7)/(q/(-16)) - (-62)/3?
21
Let x(j) = -j**2 - 21*j + 23. Let a be x(-21). Let u = a - 15. Let i(c) = 8*c - 2. Calculate the remainder when i(2) is divided by u.
6
Let k be 377/(-39) + (-1)/3. Let c be 6*2*k/8. Calculate the remainder when 18 is divided by (-3 - c/6)*-20.
8
Let u be (-117)/(-6) + 1/(-2). Let g = u + 16. Suppose 3*j - 3*y + 5*y = 32, 0 = 2*j + 4*y - 16. What is the remainder when g is divided by j?
11
Let g(k) = 3*k - 7. Let x be g(10). Suppose x = 3*q - h, -4*h + 5 = -11. What is the remainder when 25 is divided by q?
7
Suppose 0 = -48*q + 52*q - 260. Suppose -4*v - 1 = -q. Calculate the remainder when 61 is divided by v.
13
Let p = -11 - -22. Let n be 2 + 8/6*12. Suppose -4*v + 37 + 32 = 5*i, v = -i + n. Calculate the remainder when v is divided by p.
10
Suppose 0*l - 2*l = 3*g - 4, -4*l + 22 = -g. Let r = -31 - -34. Suppose f = l*w - 108, 84 = w + r*w - 2*f. Calculate the remainder when 107 is divided by w.
19
Suppose 11*r + 8 = 15*r. Suppose -l + j - 70 = -3*l, 2*j + 76 = r*l. What is the remainder when 37 is divided by l/4 - (-4 - -3)?
7
Suppose 3*v + 15 = 0, 8*s - 3*s = -4*v + 55. Calculate the remainder when 20 is divided by s.
5
Suppose 0 = -21*j - 3960 - 282. Let p = -189 - j. Let b = -63 + 110. Calculate the remainder when b is divided by p.
8
Suppose -138 = -12*h + 162. Calculate the remainder when 157 is divided by h.
7
Let t = 38 + -38. Let p = -4 - -6. Suppose p*w - 74 = -t*w. Calculate the remainder when w is divided by 20.
17
Let r(m) = -m**2 + 7*m + 12. Let t be r(9). Let z(w) = 5*w**2 + 32*w - 19. What is the remainder when 36/t*(-2)/4 is divided by z(-7)?
1
Let p = -5 - -9. Suppose -p*b - 4*d = -336, -5*b + 492 - 54 = -4*d. Let m(l) = l**2 - 27*l + 139. What is the remainder when b is divided by m(22)?
28
Suppose -2*o + 14 + 22 = -2*u, -3*u = 0. Let r(c) = -10*c - 123. What is the remainder when r(-21) is divided by o?
15
Let o(n) = n**3 + 10*n**2 + 9*n + 4. Let m(c) = -c**2 - 7*c + 5. Let x be m(-5). Let l = 6 - x. What is the remainder when 7 is divided by o(l)?
3
Suppose -9*z + 60 = z. Calculate the remainder when 106 is divided by z.
4
Let z = 68 + -48. Let c(t) = 2*t**2 + 9*t - 2. Calculate the remainder when c(-9) is divided by z.
19
Let a(i) = 280*i + 42. Let j(d) = 33*d + 5. Let y(b) = -5*a(b) + 42*j(b). Calculate the remainder when y(-2) is divided by 6.
4
Suppose 0*r - 77 = -7*r. What is the remainder when 31 is divided by r?
9
Suppose -4*q - 5*r = -68 + 8, 5*r = 4*q - 60. Calculate the remainder when 342 is divided by q.
12
Suppose h - 5 = -4*h. Let f(l) = l**2 + 13*l + 44. What is the remainder when f(-4) is divided by h?
0
Suppose 0 = 2*t + 4, -l = -0*t - 5*t - 13. Suppose -l*a + 0*y - 4*y + 65 = 0, 4*a - 87 = -5*y. What is the remainder when 111 is divided by a?
19
Let x be 3/12*-1 - (-91)/28. Suppose h - 4*h + 33 = 2*w, x*h + 72 = 5*w. What is the remainder when 26 is divided by w?
11
Let k = 720 + -501. What is the remainder when 667 is divided by k?
10
Suppose -2*a + 30 = -20. Let u = 9 - 4. Suppose -88 = -x - 0*x + 3*h, 0 = u*x - 4*h - 473. Calculate the remainder when x is divided by a.
22
Suppose -36*m = -661 - 563. Suppose -4*w + 72 = -0*w. What is the remainder when m is divided by w?
16
What is the remainder when 11/((-143)/(-5993)) + -2 is divided by 77?
74
Let o(j) = -72*j**3 + j. What is the remainder when o(-3) is divided by 29?
27
Let w be (1*2)/((-36)/(-3168)). Let h = -2 + w. Calculate the remainder when h is divided by 35.
34
Let y be 63/(-84) + 11/4. Suppose b + 3*l = -11, 4*l = b + y*l - 14. Let w(m) = 2*m - 3. What is the remainder when w(6) is divided by b?
1
Let o = -24 - -29. Suppose y - 17 = -2*q, 4*q + 78 = o*y - 63. Calculate the remainder when 124 is divided by y.
24
Let w be 4/(-26) + 318/39. Let z = -3 + w. What is the remainder when 8*z/(80/44) is divided by 12?
10
Calculate the remainder when 33 is divided by (-231)/(-165) + 8/5.
0
Let a be -3 + -4 + (5 - 1). What is the remainder when 18 is divided by (20/6)/((-1)/a)?
8
Let s be (-8 - -7)/(2/(-18)). Suppose -10*f + 75 = -s*f. Calculate the remainder when f is divided by 19.
18
Let l be (24/(-15))/((-3)/30). Suppose 4*r - l = 2*r - k, -3*k = 3*r - 21. Let b = 22 + r. Calculate the remainder when b is divided by 11.
9
Let o = 57 - 31. Calculate the remainder when 1662 is divided by o.
24
Suppose 80*x - 75*x - 45 = 0. Let i(k) be the first derivative of 9*k**2 - 3*k + 2. Calculate the remainder when i(2) is divided by x.
6
Calculate the remainder when 394 is divided by (-63316)/(-792) + (-1)/(-18).
74
Let f(d) = -6*d + 2. What is the remainder when 77 is divided by f(-2)?
7
Let g = 61 - 17. Let x = 23 - 11. Calculate the remainder when g is divided by x.
8
Suppose j = -5*l + 11, -j + 7 = 4*l - 1. Suppose -7*c - 5 = -26. Calculate the remainder when l is divided by c.
0
Let y be 16/3 - (8/3)/8. Calculate the remainder when 20 is divided by 2 + y + 4 + -7.
0
Suppose c - 20 = -c. Let a = 13 + -5. Suppose -38 = a*n - 10*n. What is the remainder when n is divided by c?
9
Suppose x + 588 = 4*x. What is the remainder when x is divided by 26?
14
Let v = 1146 - 1130. What is the remainder when 22 is divided by v?
6
Suppose -5*w + 1 = -4, 0 = 5*c + 2*w - 42. What is the remainder when 61 is divided by c?
5
Suppose -132*y + 120*y + 1800 = 0. What is the remainder when 1649 is divided by y?
149
Let n = -50 + 57. Let f be (-2 - -4) + 18/2. Suppose -f - 9 = -5*i. What is the remainder when n is divided by i?
3
Let d = 32 - 23. Let q be (3 + (-4)/2)/((-3)/(-33)). Let c = 15 + q. What is the remainder when c is divided by d?
8
Let z(l) = -l**2 + 10*l - 4. Let k = -182 - -230. What is the remainder when k is divided by z(7)?
14
Suppose -10 = -10*f + 10. Suppose 3*o + o - 5*r - 427 = 0, 0 = -f*o + 3*r + 215. Calculate the remainder when o is divided by 29.
16
Suppose -3*v = 2*v - 90. Suppose -3*m = -4 + 10. What is the remainder when v is divided by m*(8/(-2) + -1)?
8
Suppose -s - 5*j + 29 = 0, s = -j - 45 + 62. Calculate the remainder when 179 is divided by s.
11
Suppose -3*i = -4*y - 120, -3*y - 114 = -3*i - y. Calculate the remainder when i is divided by 8.
4
Let j be (-117)/3*(2 + -3). Suppose 3*h = -5 +