
14
Suppose -2*g - q = g - 213, -g - 3*q = -63. Calculate the remainder when g is divided by 44.
28
Suppose g + 15 = 2*q, -6*q - 1 = 3*g - q. Let b = g + 41. Suppose -7*r + b = -43. What is the remainder when 40 is divided by r?
7
Let i = 29 + -21. Suppose 0*h + 3*h = m + i, h - 2*m = 6. Suppose 2*a + 3*w = -a + 45, 0 = h*a - 5*w - 30. Calculate the remainder when 43 is divided by a.
13
Let y be 12/(-30) - (-141)/15. What is the remainder when 19 is divided by y - (5 + 3)/4?
5
Let l = -112 + 121. Calculate the remainder when 57 is divided by l.
3
Let v(q) be the second derivative of -q**5/20 - 5*q**4/12 - 8*q**2 + 11*q. What is the remainder when 35 is divided by v(-6)?
15
Suppose -9*f + 14*f - 4*h = 120, 2*f = -5*h + 48. Calculate the remainder when 597 is divided by f.
21
Suppose 4*f - 377 - 47 = 0. Calculate the remainder when f/4 - 3/2 is divided by 14.
11
Let l(x) = 3*x**2 - 63*x + 7. Calculate the remainder when l(23) is divided by 61.
23
Suppose -h = -2, -5*k + h + 11 + 2 = 0. Suppose 49 = 2*y + k. Calculate the remainder when y is divided by 13.
10
Suppose 3*i + 0 = -318. Let p = -62 - i. Calculate the remainder when 86 is divided by p.
42
Let a = 2500 + -2445. What is the remainder when 336 is divided by a?
6
Let v = -27 - -38. Let u = -4 - -23. Calculate the remainder when u is divided by v.
8
Let q = -11 - -13. Let v = 0 + q. Suppose 3*y + v*y = 155. Calculate the remainder when y is divided by 17.
14
Let x(d) = 3 + 3*d**2 + 9*d - d**3 - d - 2 + 3. Let b be 1/(2/(-2)) - -5. What is the remainder when 79 is divided by x(b)?
19
Suppose 0 = 4*d - 8*d. Suppose -w + 4*w + 3 = d, -p - 3*w = -10. What is the remainder when 63 is divided by p?
11
Let h(a) = -a**2 - 3*a + 2. Suppose -2*i - 3 + 11 = 0. Suppose i*t = -2*t + 12. Calculate the remainder when t is divided by h(-3).
0
Suppose 4 = 2*h + 2*r + 20, -4*h = 5*r + 28. What is the remainder when 181 is divided by 12/16 - 267/h?
20
Suppose -d - 46 = 110. Let j be d/8 - (-3)/(-2). Let g = 39 + j. Calculate the remainder when 35 is divided by g.
17
Let y(w) = 22*w**2 - 61*w - 227. Calculate the remainder when y(-4) is divided by 76.
65
Suppose t + 29 = j, t = 3*j - 0*t - 79. Let c = 100 - j. Calculate the remainder when c is divided by 19.
18
Calculate the remainder when 283 is divided by 35 - 3*3*(-29)/(-87).
27
Suppose -3*f + 3 = 6. What is the remainder when 87 is divided by (4/f)/(42/(-189))?
15
Let d(b) = -16*b + 26. Let o be d(5). Let n = o + 93. Calculate the remainder when 75 is divided by n.
36
Suppose -5*y = -5*o - 130, -o + y + 28 = -2*o. Let t = 47 + o. What is the remainder when 76 is divided by t?
16
Let w(l) = -3*l - 5*l + 2 + 2*l. Suppose 44 = 5*n + k - 39, 5*k = -10. What is the remainder when w(-8) is divided by n?
16
Suppose 7 + 33 = -5*b. Let j(u) = -2*u**2 - 19*u. What is the remainder when 30 is divided by j(b)?
6
Suppose 6*p - 131 - 97 = 0. Suppose 3*r - p = 103. What is the remainder when r is divided by (-76)/(-6) - (-4)/(-6)?
11
Let u(s) = -s**2 - 8*s + 2. Let l be u(-8). Suppose 0 = -4*w + l*w + 180. What is the remainder when w is divided by 31?
28
Let y = 12 - 24. Let u = y + 27. Calculate the remainder when u is divided by 6.
3
Let y = -21 - -24. Suppose -2*g + i = -y*g - 31, -5*i + 5 = 0. What is the remainder when 58 is divided by (g/(-12))/(-4)*-15?
8
Suppose -4*c + 84 = -3*q, -3 = -3*c - 3*q + 39. Let f(u) = -u**3 + 22*u**2 - u + 29. Calculate the remainder when c is divided by f(22).
4
Suppose 2*q - 16 = -4. Suppose 233 = q*f + 59. What is the remainder when f is divided by (-8)/10*(-15)/2?
5
Suppose -3*y + 50 = -22. Suppose 4*j - y = j. Calculate the remainder when (-300)/(-675) - 131/(-9) is divided by j.
7
Suppose 178*a - 4512 = 154*a. Calculate the remainder when a is divided by 24.
20
Suppose -72 = -4*l + 12. Let p = l + -18. Suppose 4*f + s = 257, 2*s - 59 = 2*f - p*f. Calculate the remainder when f is divided by 11.
10
Let z(n) = 5 + n + 2*n**2 + 5*n**2 - n**3 - 9*n**2 + 0*n**3. Calculate the remainder when 18 is divided by z(0).
3
Let u(t) = -t**3 - 15*t**2 - 31*t + 5. Let x be u(-13). Suppose 16*m - 9*m = x. What is the remainder when 58 is divided by m?
8
Let d(l) = l**2 + 3*l + 9. Let g(u) = -u. Let i(b) = d(b) - 5*g(b). Let k be i(-7). Suppose k*o = o + 38. What is the remainder when o is divided by 10?
8
Suppose -o + 129 = -115. Suppose 4*r - 3*z = -z + o, -2*r + 2*z = -122. What is the remainder when r is divided by 21?
19
Calculate the remainder when 310 is divided by (-940)/(-18) + 5*(-16)/360.
50
Let k(z) = 2*z**2 - 9*z + 25. Calculate the remainder when k(3) is divided by (-6)/(-9) - (-32)/6.
4
Suppose -5*m + 35 = 4*u, -23 = -4*u + 6*m - 7*m. Suppose 4*k = -3*r + 16, 35 = u*k + 2*r + 8. Calculate the remainder when 17 is divided by k.
3
Let d(m) = -5*m - 73. What is the remainder when d(-34) is divided by 30?
7
Let b = -142 - -147. Suppose b*v + 2*s = -0*v + 475, -4*v = 5*s - 397. What is the remainder when v is divided by 48?
45
Let k(m) = -46*m**3 - 5*m**2 - 5*m + 3. Calculate the remainder when k(-2) is divided by 73.
69
Suppose -3*b - b + 8 = 0. Suppose d = -b*d + 237. Suppose -43 = -6*i + 119. What is the remainder when d is divided by i?
25
Suppose 0 = -4*x + 142 + 10. What is the remainder when 150 is divided by x?
36
Suppose 0 = -17*a + 31*a - 322. What is the remainder when 320 is divided by a?
21
Let l(r) = -r**2 - 6*r + 58. Let a be l(-11). Suppose -5*c - z = -60, -4*c = z + a*z - 64. What is the remainder when c is divided by 9?
2
Let u(o) = o**2 - 9*o - 16. What is the remainder when 39 is divided by u(11)?
3
Let m = -718 + 747. What is the remainder when 82 is divided by m?
24
Suppose 4*m - 23*m = -190. Calculate the remainder when 25 is divided by m.
5
Suppose 3*t - 9 = -2*p, 5*t + 3*p - 15 = 2*p. Suppose -t*u + 25 = -23. Calculate the remainder when 39 is divided by u.
7
Suppose 44*k - 35*k - 1845 = 0. Calculate the remainder when k is divided by 16.
13
Let d(m) = -10*m + 66. Let s(n) = 5*n - 32. Let l(b) = -4*d(b) - 9*s(b). What is the remainder when l(-3) is divided by 16?
7
Suppose -h + 99 = 10*v - 6*v, 3*v = 3*h + 63. Calculate the remainder when 118 is divided by v.
22
Let x(z) = 38*z**2 + z + 1. Let j be 9/18*-2*1. Let w be x(j). Suppose 3*a = 25 + w. Calculate the remainder when 37 is divided by a.
16
Let k(u) = -3 + 9*u - 3 - 8*u - 42*u. Calculate the remainder when k(-1) is divided by 18.
17
Let y(z) be the third derivative of z**6/120 + 2*z**5/15 - z**4/6 - 2*z**3 - 3*z**2. Calculate the remainder when y(-8) is divided by 1*-3*55/(-15).
9
Suppose 246 = 7*z + 141. What is the remainder when 148 is divided by z?
13
Suppose 3*b - 102 = b + 2*d, 5*b = d + 263. Let f = -66 - -80. What is the remainder when b is divided by f?
11
Suppose -6*h = -1089 - 5349. Calculate the remainder when h is divided by 43.
41
Let n be (33/(-9))/((-3)/261). Suppose 0 = -5*k - 89 + n. Calculate the remainder when k is divided by 12.
10
Let y(m) = 16*m + 646. Calculate the remainder when y(-17) is divided by 42.
38
Let y(x) = 2*x**2 + 2*x + 2. Suppose 0*c = 5*c + 15. Calculate the remainder when 25 is divided by y(c).
11
Suppose -2*i - 3*i = -25. Let t = -17 + 19. Suppose -i*q + 30 = -t*q. Calculate the remainder when 38 is divided by q.
8
Let z(t) = t**2 + t - 89. Calculate the remainder when z(-20) is divided by 3.
0
Let s(p) = -4*p + 4. Let x be s(5). What is the remainder when (-4)/3*1416/x is divided by 30?
28
Let x = 289 - 253. Calculate the remainder when 0 - -143 - (-4 - -5) is divided by x.
34
Suppose 0 = 41*d - 942 + 163. What is the remainder when 34 is divided by d?
15
Suppose 3 = 2*f - 3. Suppose 0 = -f*d + 12 + 15. Let u = d + 11. Calculate the remainder when 79 is divided by u.
19
Suppose -4*q = n + 53, q + 5*n + 13 = 2*q. Let y(s) = -6*s - 3. Let p be y(4). Let o = q - p. What is the remainder when 28 is divided by o?
13
Let d(f) be the second derivative of 0 - 1/2*f**2 + 10*f + 1/2*f**3 + 5/12*f**4. What is the remainder when 36 is divided by d(-2)?
10
Suppose 5*u + 41 = 4*g - 18, 2*u + 28 = 2*g. What is the remainder when 42 is divided by g?
9
Let y(u) = -4*u + 5. Calculate the remainder when y(-7) is divided by -4*(-1 - 2 - 2) + -3.
16
Suppose 0 = 3*x + 3*a - 1893, -4*x + 2741 = a + 223. What is the remainder when x