 the remainder when x is divided by 12?
8
Let a be ((-18)/(-15))/((-8)/20). Calculate the remainder when 28 is divided by (-12)/(-8)*(-20)/a.
8
Let p = 165 + -104. Calculate the remainder when 302 is divided by p.
58
Suppose -2*o + 3 + 11 = 0. Let s = -5 + o. Suppose l = -s*l + 33. Calculate the remainder when l is divided by 4.
3
Let p(w) = 12*w**3 - 2*w + 1. Calculate the remainder when p(1) is divided by (-3)/4 + 465/60.
4
Suppose 8*g - 235 = 3*g. Suppose -5*p - d = -61, 51 = -2*p + 6*p + 3*d. What is the remainder when g is divided by p?
11
Suppose -l + 50 = -3*p, p - 150 = -5*l + 36. Let k be (-2172)/(-42) + (-2)/(-7). Suppose -5*s + k = -48. What is the remainder when l is divided by s?
18
Let h = -6 - -11. Suppose -h*o - 2 = -47. What is the remainder when 17 is divided by o?
8
What is the remainder when (-115)/(-2) + (-3)/(-6) is divided by 15?
13
Let v(w) = -3*w**3 - w**2 - w + 1. Let u be v(1). Calculate the remainder when 41 is divided by u/((-8)/(-10))*-3.
11
Let r(p) = p**3 - 4*p**2 + 3*p + 2. Calculate the remainder when 4 is divided by r(3).
0
Suppose -2*r - 10 = -4*m, m = 2*r + 1 + 6. What is the remainder when (-7)/(-3) + 2/(-6) is divided by m?
0
Let v = 7 + -5. Suppose 5*j = -5*x + 125, v*j = 2*x - 27 + 77. Suppose -4*z + j = -23. Calculate the remainder when 34 is divided by z.
10
Let i(c) = c**3 + c**2 - c. Let l(r) = 2*r**3 - 11*r**2 + 8*r + 10. Let h(u) = i(u) - l(u). Calculate the remainder when 33 is divided by h(11).
9
Let o be 7/(14/5 + -3). Let q = o - -84. Calculate the remainder when q is divided by 17.
15
Let l = 31 - 19. Let q = 22 - l. Suppose 3*a + 2*h - 18 - 38 = 0, -a = -5*h - 13. Calculate the remainder when a is divided by q.
8
Let s(p) be the first derivative of 7*p**2/2 + 4*p + 1. Let f = -49 + 62. What is the remainder when s(3) is divided by f?
12
Suppose -3*b - 2*b = -r + 27, 0 = -2*b - 10. What is the remainder when 16/6 + (-4)/6 is divided by r?
0
Let f(p) = p**2 + 7*p + 7. What is the remainder when f(8) is divided by 26?
23
Let n = 23 - -7. Let j = n - 21. What is the remainder when 16 is divided by j?
7
Let o(v) = 8*v - 14. Let t be o(12). Let c = t - 57. What is the remainder when c is divided by 7?
4
Suppose 0 = -2*q - 3 + 1. Let d be q/(-2) + (-1)/2. Suppose j = -d*j + 5. What is the remainder when j is divided by 2?
1
Suppose r + 43 = -4*n + 167, -2*r = -3*n + 104. Let a = 19 + -8. What is the remainder when n is divided by a?
10
Let v = 50 + -10. What is the remainder when v is divided by 15?
10
Let k = -5 + 8. Suppose -6 = -k*q + 6. Calculate the remainder when 5 is divided by q.
1
Let f(d) = -d**2 + 3*d - 2. Let c be f(4). What is the remainder when (2/c)/((-2)/198) is divided by 18?
15
Let a = 17 + -12. Suppose -5*y + 2*b + 17 = 0, y + b - 21 = -3*b. Let n = y - 3. Calculate the remainder when a is divided by n.
1
Let r(j) = -j**2 - 16*j - 32. What is the remainder when 77 is divided by r(-12)?
13
Let o be 2/(-2 - 3*-1). Calculate the remainder when 3/o*(-410)/(-15) is divided by (-28)/(-4) + 4 - -3.
13
Suppose 23 = 5*c + 2*j, 3*c + 3 = -5*j + 32. Suppose 88*w - 91*w = -24. Calculate the remainder when w is divided by c.
2
Let v = 311 + -290. What is the remainder when v is divided by (-6)/15 + (-114)/(-10)?
10
Let h = 81 - 67. What is the remainder when 24 is divided by h?
10
Let a = -73 + 74. What is the remainder when a is divided by 1?
0
Suppose -w - w + 30 = 0. Let r = w - 8. Let m(j) = -3*j + 2. What is the remainder when r is divided by m(-1)?
2
Let k be (-4)/(-6) - (-136)/12. Suppose -12 = -3*z + k. What is the remainder when 30 is divided by z?
6
Suppose 0*p - p = 19. Let k = p + 34. Calculate the remainder when k is divided by 8.
7
Let h(t) = -17*t + 13. What is the remainder when h(-3) is divided by 11?
9
Suppose 0*b - 3*b = -2*k + 36, -4*k = b - 100. What is the remainder when (2 + -3)/(2/(-142)) is divided by k?
23
Let w = 17 + -9. Suppose 0 = 3*r - r - w. Suppose -r*i + 122 + 74 = 0. What is the remainder when i is divided by 13?
10
Let j = 15 - 11. Suppose 4*g - 2*q - 36 = 0, -2*q + 69 = 5*g + 6. Calculate the remainder when g is divided by j.
3
What is the remainder when (-800)/(-30) + (-1)/(-3) is divided by 10?
7
What is the remainder when 214 is divided by -3 - ((-2)/7 + 1626/(-42))?
34
Suppose -5*k + 46 = 3*j - 6*j, 0 = -4*j - k - 46. Calculate the remainder when (-976)/j + 2/(-6) is divided by 21.
18
Let n(p) = -18 + 2 - 15*p + 1 + 10*p**2 - 1 + p**3. Let x be n(-11). Let d = 45 + x. What is the remainder when d is divided by 19?
16
Let l(j) = -j**2 - 8*j - 6. Let q be l(-5). Let s be (q/(-12))/((-1)/36). Calculate the remainder when (-2)/9 - (-357)/s is divided by 7.
6
Let c(n) = -n - 6. Let z be c(-6). Suppose 5*t - 5*q - 80 = z, -3*t - 2*q + 52 = -4*q. What is the remainder when 59 is divided by t?
19
Let f(j) = -j + 23. What is the remainder when 70 is divided by f(-13)?
34
Let b = -8 - -17. Let a = -7 + 11. Calculate the remainder when (-1 + 3)/a*52 is divided by b.
8
Let h = -102 + 115. Calculate the remainder when 33 is divided by h.
7
What is the remainder when 0 - 38*-1 - 3 is divided by 12?
11
Suppose -2*k + 30 = -28. Calculate the remainder when k is divided by 8.
5
Let c(l) = 12*l**2. Suppose x - 4*x = -66. Calculate the remainder when x is divided by c(-1).
10
Let q(y) = 2*y**2 + 5*y - 1. Let l = -6 + 10. Suppose -l*g - w = -4*w - 78, -3*g + 61 = -w. Calculate the remainder when g is divided by q(-4).
10
Let i be (-3)/6 - (-15)/6. Suppose -2*w + 3*q = -i*q - 13, 11 = 4*w + 5*q. Suppose -2 - 31 = -3*f. What is the remainder when f is divided by w?
3
Suppose 12 + 123 = 5*y. Suppose 0 = 1981*o - 1978*o - 30. What is the remainder when y is divided by o?
7
Suppose 7*r + 176 = 3*r. Let l = r + 77. Suppose 0*p = -3*p + l. Calculate the remainder when 20 is divided by p.
9
Let d(w) = -w**3 - w**2 + 8*w - 8. Calculate the remainder when d(-4) is divided by 1/(8/6 + -1).
2
Let x(j) = 11*j**2. Calculate the remainder when x(2) is divided by 15.
14
Let b = -25 + 71. Calculate the remainder when b is divided by 24.
22
Let z be 2/(-8) + (-102)/(-24). Let i be 4/(-6)*6/z. What is the remainder when (-1)/2*i*6 is divided by 2?
1
Suppose 60 = i + 3*q, 4*q - 64 - 58 = -2*i. Suppose m = -3*w + i + 1, -4*w = 2*m - 120. Let j = m + -26. Calculate the remainder when j is divided by 9.
8
Let w = -15 + 21. Suppose -v = -w*v + 35. Calculate the remainder when 26 is divided by v.
5
Suppose 37 = 4*i - 3*i. What is the remainder when i is divided by 10?
7
Let s be -2 + 4 + 0 + 1. Suppose -1 + 3 = d. Suppose -46 = d*u - s*u. What is the remainder when u is divided by 16?
14
Let v(y) = y**3 + 4*y**2 + 4*y + 3. Let c be v(-2). Suppose -1 = -w + 1, 153 = 3*f - c*w. What is the remainder when f is divided by (-38)/57 + (-56)/(-3)?
17
Suppose -3*h = 1 - 4. Calculate the remainder when 1 is divided by h.
0
Suppose 5*d - 408 - 627 = 4*n, 5*n + 431 = 2*d. Suppose 3*w = 5*x - d, 5*x = -4*w + 108 + 88. What is the remainder when x is divided by 21?
19
Suppose -g - 3*y + 2*y = -8, -4*y + 2 = -2*g. Calculate the remainder when g is divided by 5.
0
Suppose -89 = 4*f - 285. Suppose 3*x - 74 = -4*z, -2*x + 10 = 3*x. Calculate the remainder when f is divided by z.
15
Calculate the remainder when 207 is divided by (-42)/(-105) - (-346)/10.
32
Let z(u) = -u**3 + 9*u**2 - 11*u + 5. What is the remainder when z(7) is divided by 4?
2
Suppose -4*g - 5 = -5*g. Suppose 5*i = 0, q + 2*q + g*i - 165 = 0. What is the remainder when q is divided by ((-266)/(-21))/(-1 - (-10)/6)?
17
Let m(g) = -g**2 - 11*g - 12. Calculate the remainder when 21 is divided by m(-8).
9
Suppose -3*j = -j. Suppose j = d - 8 - 6. What is the remainder when (-204)/(-5) + (-5)/(-25) is divided by d?
13
Let z(j) = 43*j + 2. Let r be z(-3). Let t = 16 - r. Let v = t + -102. What is the remainder when v is divided by 21?
20
Let w = -119 - -141. What is the remainder when w is divided by 4?
2
Let x be (11 - 10)/((-1)/26). Let p = 1 - x. Calculate the remainder when p is divided by 15.
12
Let j = 6 - 1. What is the remainder when 21 is divided by (24/2)/(j - 4)?
9
Let k = 9 - -2. Let r = k - 6. Suppose 0 = -f - 4*q + 9, 0 = 3*f + 4*q - 15 - 12. Calculate the remainder when f is divided by r.
4
Let c = 0 + 17. Let n = c + -13. Calculate