2525, 2*j + 3*t - 997 = 4*t. What is the remainder when j is divided by 14?
11
Suppose 5*n + 3*b + 2 = 16, 0 = 4*n + 4*b - 8. Let o = n + 41. Calculate the remainder when o is divided by (-10)/(-2)*32/10.
13
Let p = -169 - -220. What is the remainder when p is divided by 18?
15
Suppose 5*q + r - 2 = 8, -2*r + 2 = 4*q. Suppose 0 = -3*t + 5*t - 48. Suppose -4*j + t = -j. What is the remainder when j is divided by q?
2
Let n(m) = m - 2 + 10 - 4 + 10*m. Let l(r) = 10*r + 4. Let s(t) = 5*l(t) - 4*n(t). Calculate the remainder when 41 is divided by s(3).
19
What is the remainder when ((-22)/4)/((-12)/912) is divided by 28?
26
Let x = 32 + -18. Let w = x - -1. Let g = 1355 - 1326. What is the remainder when g is divided by w?
14
Let f = -47 - -51. Suppose f*q + 3*n + 37 = 101, -4*n - 64 = -4*q. Calculate the remainder when 77 is divided by q.
13
Let t(b) = b**3 - 3*b**2 + b - 3. Let p be t(3). Suppose -2*m - 88 = -4*m + 2*d, p = 2*d - 6. Calculate the remainder when m is divided by 8.
7
What is the remainder when 35 is divided by 8975/425 - 4/34?
14
Let o(p) = 20*p - 13. Let f be o(6). Let b = f + -76. Calculate the remainder when b is divided by (1 - 2)*-2*4.
7
Suppose 5*u + 3*r - 57 = 0, -4*u = r + 2*r - 48. Suppose -70 = -3*l - 6*y + 8*y, 4*l - 4*y = 88. Calculate the remainder when l is divided by u.
8
Let k = 53 - 59. Let u(w) = -w**3 - 4*w**2 - w - 7. Calculate the remainder when u(k) is divided by 37.
34
Suppose 0 = -68*n + 60508 - 14880. What is the remainder when n is divided by 56?
55
Suppose -5*s = -77 - 178. Let u = -42 + s. Calculate the remainder when 25 is divided by u.
7
Let m = 59 - -29. Suppose 6*s - m = 2*s. Calculate the remainder when s is divided by 5.
2
Let d(i) = 16*i**2. Let u = 12 + 34. What is the remainder when u is divided by d(1)?
14
Suppose -5*l + 190 = -5*t, -3*t - 55 - 99 = -4*l. Let o = 1527 - 1413. What is the remainder when o is divided by l?
34
Suppose 63*u - 1617 = -14*u. What is the remainder when u is divided by 9?
3
Let f = 76 + -39. Let t = 102 - f. What is the remainder when 127 is divided by t?
62
Suppose 0 = -21*i - 23 + 170. What is the remainder when 44 is divided by i?
2
Suppose 0 = -5*u + 3*c + 13 - 2, -3*c = -u - 5. Let s(h) = 15*h + 205. What is the remainder when s(-13) is divided by u?
2
Suppose -o + p + 6 = 0, -5*o - 4*p = -1 - 29. Suppose -q + o = 1. Suppose -z + q*w + 7 = -20, 2*z - 3*w - 54 = 0. What is the remainder when z is divided by 15?
12
Let n = 11 - 4. Let a(v) = v**3 - 6*v**2 + 4*v + 17. Suppose 0 = 11*z - 68 + 13. Calculate the remainder when a(z) is divided by n.
5
Suppose -3*s - 6 = 2*q - 55, 4*q + 4*s = 88. Calculate the remainder when 286 is divided by q.
14
Let n(t) = -2*t - 24. Calculate the remainder when 196 is divided by n(-22).
16
Suppose -3*d + 5*u + 121 + 0 = 0, 0 = -2*u + 2. Let p(s) = 14*s**2 + 475*s - 12. What is the remainder when d is divided by p(-34)?
20
Suppose 2*k - r = 93, 3*r = 3*k + 4*r - 132. What is the remainder when k is divided by 17?
11
Let g(t) = t - 2. Suppose -3 - 3 = -3*v. Suppose v*x - 9 = -3*n, 0 = 2*n + 5*x - 20 + 3. Calculate the remainder when n is divided by g(3).
0
Let i(w) = 2*w + 241. What is the remainder when i(-15) is divided by 27?
22
Let c(d) = d**2 + 4*d + 1. Let k be c(-4). Suppose a + 16 = 4*i, -5*i + 4*a - 1 = -2*i. Let h = k + i. What is the remainder when 17 is divided by h?
5
Let u(y) = y**3 - 35*y**2 + y + 21. Calculate the remainder when u(35) is divided by 9.
2
Suppose 0 = 5*b - 4*r - 103, -4*b + 42 = 5*r - 24. Calculate the remainder when b is divided by 9.
1
Suppose 0 = -u - 0*u + 17. Let i be u - (-1 + -5 + 3). Suppose -20 = -5*r, r = -3*j - r + i. What is the remainder when 10 is divided by j?
2
Suppose 523*u = 524*u - 173. Calculate the remainder when u is divided by 47.
32
Let q be 6 - (3/(-3) - -4). Suppose -3*n = -5*v - 77, 0 = -n + 2*v + 3*v + 39. What is the remainder when 12/q - 2*-35 is divided by n?
17
Let a = -33 + 38. Let h = -114 - -184. Let d = -48 + h. Calculate the remainder when d is divided by a.
2
Let a be (-5)/((-60)/9)*44. Let y = a + -5. Suppose -5*i = t - 0*i + 10, -4*t + 3*i + 52 = 0. Calculate the remainder when y is divided by t.
8
Let j(b) = b**2 - 24*b + 89. Let t be j(18). Let k be 249/(-6) - (-2)/4. Let q = t - k. What is the remainder when 41 is divided by q?
19
Let d = -19 + -11. Let v be d/75*95/1. Calculate the remainder when -5*(v/5 - -1) is divided by 7.
5
Let v(j) = 156*j - 78. Calculate the remainder when v(3) is divided by 17.
16
Suppose 0 = 11*p - 12*p + 5. Suppose -2*b - 36 = -p*b. Calculate the remainder when 22 is divided by b.
10
Let p(q) = -2*q**2 + 21*q + 63. What is the remainder when p(9) is divided by 10?
0
Suppose -4*x + 5*x - 22 = 0. Let p = x - 44. Let q = p - -35. What is the remainder when 24 is divided by q?
11
Let g(r) = r**2 + r - 9. Let s be g(-4). Let u be (s - 2) + 0 + 4. Suppose 2*o - u*k + 4*k = 13, 0 = -5*k + 5. What is the remainder when 13 is divided by o?
6
Suppose 4*k = 3*l - 196, -8*l = -3*l - 20. Let g = k + 56. What is the remainder when g is divided by 5?
0
Let x(l) = -l**3 + 2*l**2 - l + 4. Let y be x(3). Calculate the remainder when 74 is divided by 45/4 - 1/y*-2.
8
What is the remainder when 1104/5 + (-40)/50 is divided by 109?
2
Calculate the remainder when (-99)/(1/(-1)) + -7 is divided by 31.
30
Suppose 0 = -25*i + 24*i + 5. Let l = 256 + -135. Suppose a - i*p = 53 - 8, p = -5*a + l. What is the remainder when a is divided by 14?
11
Let q = -86 + 132. Suppose 3*z + 43 + 29 = 0. Calculate the remainder when q is divided by -2*12/(-3)*z/(-16).
10
What is the remainder when 416 is divided by 6*7 - 1/((-9)/27)?
11
Let y(u) = u**2 + 154*u + 905. Let j = 2 + -5. Calculate the remainder when ((-2)/j)/(4/186) is divided by y(-6).
14
Let h(w) = 105*w + 27. Calculate the remainder when h(2) is divided by 40.
37
Let d be ((-6)/(-10))/(6/30). Suppose d*i = -2*i. Let c = 9 - i. What is the remainder when c is divided by 6?
3
Suppose z - c = 286, 4*c + 560 = 2*z + 8*c. What is the remainder when z is divided by 72?
68
Let k be (9/(-6))/(3/(-20)). Let r = -5 + k. Suppose r*s = -0*g + 2*g + 265, -3*g = 4*s - 212. What is the remainder when s is divided by 14?
11
Let v be -1*10*342/(-95). Let q be 135/v + 2/8. Calculate the remainder when q/(4 - 142/36) is divided by 15.
12
Let n = 23 - -7. Suppose -o + n + 20 = 0. Let v = -10 + o. Calculate the remainder when v is divided by 21.
19
Let a = -1 + -11. Calculate the remainder when (a/(-16))/((-2)/(-16)) is divided by 2.
0
Suppose -3*t + 15 = 0, -3*s + 2207 = 4*t - 3486. Let j be (-3)/9 + s/3. What is the remainder when ((-16)/10)/((-12)/j) is divided by 29?
26
Suppose 0 = 41*b - 21*b - 200. Calculate the remainder when 46 is divided by b.
6
Let n = -1 - -12. What is the remainder when 965/30 + (-1)/6 is divided by n?
10
Suppose -12*n = -9*n - 342. What is the remainder when n is divided by 40?
34
What is the remainder when 58108/3650 - (-2)/25 is divided by 11?
5
Suppose 0 = 5*q - x - 1107, 7*x - 5*x = -5*q + 1101. What is the remainder when q is divided by 110?
1
Let u(r) = 3*r + 67. Let g be u(0). Let v = g + -63. What is the remainder when 12 is divided by v?
0
Suppose 5*s = -10*s + 3525. Calculate the remainder when s is divided by 80.
75
Let r(b) = b**2 + 9*b - 5. Let s = 32 + -20. What is the remainder when r(4) is divided by s?
11
Let z = 826 - 816. What is the remainder when 103 is divided by z?
3
Suppose -3*x + 5*d - 35 - 21 = 0, -2*d = 4*x + 92. Let y = 4 - x. What is the remainder when y is divided by 9?
8
Let c(k) = -4*k. Let w be c(-1). Let i be 78 - -1 - (-1 - 0). Suppose w*y - 2*y - i = 0. Calculate the remainder when y is divided by 14.
12
Let u(n) = -n**3 + 3*n**2 + 6*n - 6. Let m be u(4). Suppose -h + 25 = m. Let k(z) = z**3 - z**2 + 7*z - 10. What is the remainder when k(4) is divided by h?
20
Let h(m) = 24*m + 3 + 0*m + 0. What is the remainder when 106 is divided by h(1)?
25
Let c(x) = 4*x**2 - 42*x - 58. Calculate the remainder when c(15) is divided by 70.
2
Suppose -5*d + 12 = 4*b, -5*b + b = 3*d - 12. Let u(h) be the second derivative of h**4 + h**2/2 - h. What is the remainder when u(-1) is divided by b?
1
Let p = 95 - 66. Suppose 99 = 5*t - 3*j, -203*t + 198*t - 3*j + 81 = 0. Calculate t