7
Suppose -2*d - 4*d + 12 = 0. Suppose d*f - 4*k = 72, 3*k - 9 = -3*f + 99. Calculate the remainder when f is divided by 19.
17
Suppose 3*d = -3*u + 84, 0 = -5*u - 5*d + 6*d + 110. What is the remainder when 35 is divided by u?
12
Let z(r) = 4*r**2 - 31*r - 69. What is the remainder when (-2 - 38*6)/(-1) is divided by z(10)?
20
Suppose 83*c - 84*c + 73 = 0. Calculate the remainder when 214 is divided by c.
68
Let v(u) = 2*u**2 - 4*u - 2. Calculate the remainder when 35 is divided by v(4).
7
Suppose 6*t + 40 = t. Let q = t + 9. Let n = -2 - -4. What is the remainder when n is divided by q?
0
Let a(l) = 8*l**2 - l. Let i be -1 + 3 - (-15)/5. Suppose 3*g = 2*b + 4, -b - 4*g + i = -4. Calculate the remainder when a(b) is divided by 6.
1
Suppose 516 = 20*u + 36. Calculate the remainder when 425 is divided by u.
17
What is the remainder when (4207/21 + -5)*(-21)/(-14) is divided by 120?
53
Let a(c) be the third derivative of c**6/120 - c**5/10 + c**4/12 - 4*c**3/3 - 5*c**2. What is the remainder when a(6) is divided by 2?
0
Suppose -3*l = 2*l - 5. What is the remainder when 231 is divided by l/(((-3)/(-348))/(6/24))?
28
Suppose z + 21 = 4*j, j + 5 = -2*z - 1. Calculate the remainder when -218*(-1 + (3 - j)/(-2)) is divided by 28.
25
Suppose -4 = -f - 12. Let i(v) = v**2 + 4*v - 6. Calculate the remainder when 75 is divided by i(f).
23
Suppose -5*m = -0*m - 45. What is the remainder when 14/(-3)*-3 + 3 is divided by m?
8
Suppose 4*c - 61 = 3. Let i(j) = 2*j**3 - 3*j**2 - 6*j - 8. Let a be i(4). Let b = -18 + a. What is the remainder when b is divided by c?
14
Suppose -3*p + 4 = -p, 0 = -h - 4*p + 10. Let w(i) = 2*i**2 + i + 1. Suppose 5*b = 5*t, 5*b - t - 6 = 6. What is the remainder when w(h) is divided by b?
2
Suppose 2*w = -3*q - 2*w + 146, -2*w - 116 = -3*q. Calculate the remainder when q is divided by 217/14 + 0 + 1/(-2).
12
Suppose 5*w - 3*h + 56 = 263, -2*h = 2*w - 86. Let v(y) = -y**2 + 34*y - 2. What is the remainder when v(28) is divided by w?
40
What is the remainder when 195 is divided by 220/35 + 2/(-7)?
3
Let z(y) = y**2 + 5*y - 8. Calculate the remainder when z(7) is divided by 16/28 - 538/(-14).
37
What is the remainder when 22 is divided by (224/42)/((-2)/(-6))?
6
Let z(u) = 2*u**2 - 5*u - 11. Let j be z(5). Suppose 49 = j*g - 77. What is the remainder when 20 is divided by g?
2
Let z = -693 - -729. Calculate the remainder when 214 is divided by z.
34
Let n(u) = -12*u + 3. Let d be n(-2). Let y = 39 - d. Calculate the remainder when 54 is divided by y.
6
Suppose 2*u = -0*u + 12. Let k be (2 + u)/(1*2). Suppose 4*x = 4*f + 8, 3*f - k = 4*x - 3*x. Calculate the remainder when 13 is divided by x.
3
Suppose 155 = 44*o - 39*o. Suppose -d + 3*h + 77 = 4*d, 0 = -4*d + h + 63. What is the remainder when o is divided by d - 2 - (-9)/(-3)?
9
Let m = 470 - 460. What is the remainder when 69 is divided by m?
9
Let v(n) = 6*n + 2. Let m = -1992 - -2033. Calculate the remainder when m is divided by v(2).
13
Let z(i) = -4*i**3 - 3*i**2 - 6*i + 3. Let c be z(-3). Suppose -82 = -4*m + c. What is the remainder when m is divided by 24?
22
Suppose 2*o - s = 213, -o - 2*s - s = -117. What is the remainder when o is divided by 22?
20
Let g be (-2 + 2)/(5 - 7). Calculate the remainder when ((-138)/(-9) - g)*9 is divided by 35.
33
Let w be 63 + -2*1/((-4)/(-6)). Calculate the remainder when (w/35)/((-2)/(-84)) is divided by 15.
12
Let r(y) = y**2 - 2*y + 26. Let f be ((-10)/3)/(4/(-6)). Suppose -f*c + 3*p = -261, -c + 43 = -p + 5*p. Calculate the remainder when c is divided by r(0).
25
Suppose -2*d = 2*m - 14, 5*m - 17 = 3*d + d. Let o be 2/(d - (3 + -2)). Suppose 15 + 7 = o*t. What is the remainder when 21 is divided by t?
10
Let o = 912 + -881. Calculate the remainder when -4 + 1 - (1 - 94) is divided by o.
28
Let b = 2185 - 1527. Calculate the remainder when b is divided by 44.
42
What is the remainder when 694 is divided by (2/(-1))/(-2) - -138?
138
Let v be (-2)/(-4)*(6 + -2). Suppose -24 = v*z - 3*z. What is the remainder when 4/z*3*10 is divided by 3?
2
Let g be (15/9)/(-1)*24/(-20). Let q(l) = 6*l - 2. Let o = -22 - -51. What is the remainder when o is divided by q(g)?
9
Let s(f) = 3*f**2 + 12*f - 1. Let g be s(-5). Suppose 2*w - 62 = g. What is the remainder when w is divided by 13?
12
Let p(a) = 22*a**2 + a. Let f be p(1). Suppose v - f = -0*v + 3*d, 3*v - 5*d = 61. What is the remainder when v is divided by (-39)/(-52) - 66/(-8)?
8
Let j be 306/(-15) - (-20)/50. Calculate the remainder when 94 is divided by (1 - j/12)/((-3)/(-36)).
30
Let k(p) = 4*p**2 + 73*p - 147. What is the remainder when 133 is divided by k(2)?
13
Suppose -89*m + 79*m + 1350 = 0. What is the remainder when m is divided by 1/(-1) - -9*4?
30
Suppose 3*p - 2*q + 32 = 259, -133 = -2*p + 5*q. Let a = -16 - -56. What is the remainder when p is divided by a?
39
Suppose -9 + 99 = 9*h. Suppose 5*g - 18 = 2*a - 3, 5*a = 4*g + 5. Let k = 33 - a. What is the remainder when k is divided by h?
8
Let v(l) = l**2 + 8*l + 3. Let g be v(-8). Suppose 12 = -g*t - 15. What is the remainder when 4/2 - (9 + t) is divided by 2?
0
Let p = -147 - -196. Calculate the remainder when 244 is divided by p.
48
Suppose 5 - 20 = -3*l. Suppose l*g = 3*g + 18. Suppose -2*f - g = -35. What is the remainder when 37 is divided by f?
11
Let b be (7/(-2) + 1)*6. What is the remainder when (b/(-10))/(3/68) is divided by 18?
16
Suppose 62 = u + 13. Calculate the remainder when u is divided by -3 - (0 + (-3 - -3) + -20).
15
Let j(h) = h**3 - 9*h**2 + h + 11. Let n(g) = 2*g + 41. Let r be n(-16). Calculate the remainder when 75 is divided by j(r).
15
Suppose 525 = 2*q + 5*t, -5*q - 13*t + 1297 = -16*t. Calculate the remainder when q is divided by 49.
15
Let g = 1 + -1. Let t = 6 - g. Let k = -6384 - -6407. What is the remainder when k is divided by t?
5
Let m(s) = 188*s**3 - s + 1. Let t be m(1). Let b = t + -95. Let a = b + -32. What is the remainder when a is divided by 16?
13
Suppose -2*h + 115 = j + 2*j, -h = -3*j - 44. Suppose 5*v = h + 152. What is the remainder when v is divided by ((-28)/(-6))/(17/51)?
13
Let b(d) be the third derivative of -d**6/120 + d**5/60 + d**4/12 + 8*d**2. Calculate the remainder when b(-2) is divided by 3.
2
Let q(k) = -k**3 + 55*k**2 - 56*k + 121. What is the remainder when 261 is divided by q(54)?
1
Let w(i) = 22*i**2 + 4*i - 10. Calculate the remainder when w(-3) is divided by 60.
56
Let c(v) = -v**3 + 5*v**2 + 5*v - 4. Let q = 255 + -219. Calculate the remainder when q is divided by c(5).
15
Let r = -198 + 137. Let o = r + 101. Suppose -6*a - o = -10*a. Calculate the remainder when 37 is divided by a.
7
Suppose 2*i - 3*v = 24, -4*i - i = -4*v - 53. Suppose 4*b + 5*b - i = 0. What is the remainder when 2 is divided by b?
0
Suppose 0 = 2*y + 4, 2*x + 0*y + 320 = 2*y. Let l = 355 + x. What is the remainder when l is divided by 39?
37
Suppose 5*m - 4*c + 3 + 9 = 0, 2*m = -2*c + 6. Suppose m = -6*j + 40 + 332. What is the remainder when j is divided by 13?
10
Suppose 0 = 5*w + 641 - 51. Suppose 2*b = 3*u + 199, -3*b + 23 = -3*u - 172. Let n = u - w. Calculate the remainder when n is divided by 26.
23
Suppose -4*j + 90 = 2*x, 0*x - 3*x + 5*j + 113 = 0. Calculate the remainder when 71 is divided by x.
30
Suppose 0 = -g + n + 29, 3*g - 2*n + 7 = 99. Let o = -20 + g. Suppose j - 3*k = 38, 2*j - 36 = -2*k - 2*k. Calculate the remainder when j is divided by o.
12
Let m(b) = 3*b + 7. Let r(g) = -8*g - 13. Let n(j) = 5*m(j) + 2*r(j). Let l = 17 + -10. What is the remainder when 3 is divided by n(l)?
1
Let x = 11043 - 4140. What is the remainder when 99 is divided by -1 - 5/(-7) - x/(-273)?
24
Let m = -61 - -41. Let c be 15/m + 3/4. Suppose 3*n - 7*n + 68 = c. What is the remainder when 31 is divided by n?
14
Suppose -m + 3 = 2. Let l = 927 + -890. What is the remainder when l is divided by (m/(-2))/((-3)/78)?
11
Suppose -1 = w - f, -5*w = -f - 10 + 3. Suppose w*q - 8 = 0, 5*a = -0*q + 4*q + 534. What is the remainder when a is divided by 14?
12
Suppose 32 = 3*b - 2*b. Suppose 0 = -5*l - 2*v + 21, 5*l + 4*v + 0*v - 17 = 0. What is the remainder when b is divided by l?
2
Let x(u) = -5*u**2 + u - 6. Let y be x(5). Suppose 2*t + 5*r - 116 - 16 = 0, 2*r - 65 = -t. Calculate the remainder when t 