o be 0/(2/(j + 5)). Suppose 32 = 2*v - o*r + 2*r, v + 5*r - 8 = 0. What is the remainder when 52 is divided by v?
16
Suppose -2*r + 9 + 13 = 0. Calculate the remainder when 42 is divided by r.
9
Let n = -100 - -162. What is the remainder when n is divided by 9?
8
Suppose g - 22 = 3. Calculate the remainder when (-1835)/(-25) - (-4)/(-10) is divided by g.
23
Suppose 3*u - 6*u = -9. Let m be -2*(-10)/12*-6. Let t(i) = -i**3 - 9*i**2 + 9*i - 2. What is the remainder when t(m) is divided by u?
2
Let f(q) be the second derivative of -4*q**3/3 + q**2 - 2*q. What is the remainder when 52 is divided by f(-2)?
16
Let l = 4 - 9. Let y = 8 + l. Suppose 4*g = -4*k + 5*g + 87, y*k + 3*g - 84 = 0. Calculate the remainder when k is divided by 8.
7
Suppose 19*v - 23*v - 124 = 0. Let l(r) = 8*r + 6. Let p be l(6). Let b = v + p. What is the remainder when b is divided by 8?
7
What is the remainder when 20 is divided by 9 - (0 + (-6)/3)?
9
Let d(z) = z**2 - 6*z - 4. Let f be d(7). Suppose 0 = 3*w + w - 40. What is the remainder when (28/f)/(1/3) is divided by w?
8
Suppose 26 = 4*s - 2*r, -3*s + 30 = -3*r - 2*r. Let y = -3 + s. Suppose 2*w = -x + w + 3, 4*x + 5*w = 10. Calculate the remainder when x is divided by y.
1
Let g = -20 + 42. Calculate the remainder when 26 is divided by (g + 0)/2 - 2.
8
Suppose -m = 5*o - 125, -17*o = -22*o - 4*m + 140. Suppose 22 = g - 22. What is the remainder when g is divided by o?
20
Let j(q) = 2*q - 3. Calculate the remainder when j(5) is divided by ((-2)/6)/(18/(-108)).
1
Let x = -71 - -113. What is the remainder when 164 is divided by x?
38
Let t be (-13 + 6)*6/(-7). What is the remainder when 8/(-6) + 86/t is divided by 9?
4
Calculate the remainder when 33 is divided by ((-7)/28)/(2/(-136)).
16
Let o = -53 + 35. Let y = o - -29. Suppose 0 = 2*w + 26 - 112. What is the remainder when w is divided by y?
10
Let w(a) = -a. Let d be w(-4). Suppose o + 3*x = 5*o - 49, 3*x = 2*o - 17. What is the remainder when o is divided by 1*-27*d/(-12)?
7
Let q(o) = 8*o - 11. Calculate the remainder when q(5) is divided by 6.
5
Let r(k) = 0 + 0*k + 19*k**2 + 2*k + 2. Calculate the remainder when r(-1) is divided by 5.
4
Suppose -125 = -5*y + 3*j, 73 = 3*y - 2*j - 1. Suppose -5*a + 138 = 2*x, -5*x + 373 = -5*a + y. Calculate the remainder when x is divided by 18.
15
Let q(r) = -r**2 - 8*r - 4. What is the remainder when 2*(-3)/(-2) + 1 is divided by q(-7)?
1
Let u(p) = p**2 + 7*p - 7. Suppose 4*z - 3 = -43. Calculate the remainder when u(z) is divided by 12.
11
Suppose -5*i + 18 = -142. Calculate the remainder when i is divided by 2/9 - (-97)/9.
10
Let w(c) = 8*c. Let g be w(2). Let x be (-3 - (1 + 1))*2. Let f = x + g. Calculate the remainder when f is divided by 4.
2
Suppose 0 = -7*z + 2*z. Let v be (46/(-1 + z))/1. What is the remainder when (0 + 1/(-2))*v is divided by 12?
11
Let d(s) = -21*s - 4. Suppose -2*b + 0*g = -3*g + 73, 2*b = g - 71. Let u = -22 - b. Calculate the remainder when d(-2) is divided by u.
12
Let z(f) = f**2 - 6*f. Let d be z(6). Suppose -14 = -l - 2*x - 1, 4*x - 4 = d. What is the remainder when l is divided by 3?
2
Let v = -84 + 93. Suppose 2*w + 3*w + 30 = 0. What is the remainder when v is divided by 34/6 - w/(-9)?
4
Suppose 3*k = 41 - 8. What is the remainder when 19 is divided by k?
8
Let w = -5 - -15. What is the remainder when w is divided by 3?
1
Suppose -5*o + 473 = -2*r, -3*o + 384 = o - 3*r. Calculate the remainder when o is divided by 48.
45
Suppose 4*v + 27 = -p, v + v + 31 = 3*p. What is the remainder when v/20 + (-57)/(-5) is divided by 4?
3
Let p(g) = -g**2 - g + 1. Let u be p(0). Let i(b) = -b + 10. What is the remainder when (2 - u) + (1 - 0) is divided by i(9)?
0
Suppose 3*s - 3*g - 111 = 0, -3*s - 5*g = -42 - 37. Let t = -8 - -13. Suppose t*l + 8 = -u, -5*l - 1 + 10 = 2*u. What is the remainder when s is divided by u?
16
What is the remainder when 40 - 13 - (-5 - -2) is divided by 3/((-6)/(-4)) - -14?
14
Let f be -3*-1*2/(-3). Let o be 12*(-1 + (-14)/f). Calculate the remainder when (-28)/(-6)*o/28 is divided by 7.
5
Suppose 7*x = 9*x - 86. Let p be 3 + (-2)/4*0. Suppose -p*j = -2*j - 15. What is the remainder when x is divided by j?
13
Suppose 0 = -4*b + 10 - 2. Suppose -5*c + b*h = -0*h - 48, 3*h - 28 = -5*c. What is the remainder when 31 is divided by c?
7
What is the remainder when 2 is divided by (-3)/12*-4 - 0?
0
Let a(v) = v**3 - 4*v**2 - 4*v - 2. Let w = 34 - 31. Calculate the remainder when w is divided by a(5).
0
Suppose -5*w + 93 = -2*w. Calculate the remainder when 60 is divided by w.
29
Let c(v) = -14*v + 34. Let l be (0 - 1 - -1) + -4. Let g(w) = -5*w - 3. Calculate the remainder when g(l) is divided by c(2).
5
Let o = 59 - 40. Calculate the remainder when o is divided by 11.
8
Suppose -p + 23 = -3*q + 4*q, 4*p - 108 = 4*q. Let j = -7 + p. What is the remainder when 53 is divided by j?
17
Let o(t) = -t**3 + 9*t**2 + 10*t - 1. Let x be o(10). Let d = 5 - x. What is the remainder when 29 is divided by d?
5
Let k be 146/(-6) - (-4)/(-6). What is the remainder when 168/10 + (-5)/k is divided by 10?
7
Suppose -u = 3*x + 13 + 1, -3*u = 4*x + 17. Let w = x + 16. Let o = 12 + 8. What is the remainder when o is divided by w?
9
Calculate the remainder when 97 is divided by (6/(-6))/((-2)/50).
22
Let z be ((-2)/4)/(3/72). Calculate the remainder when 62 is divided by 32/3*z/(-8).
14
Let h(w) = w**3 - w**2 - 5*w - 3. What is the remainder when h(5) is divided by 15?
12
Let y = -8 - -13. Let d be 1/2 + 81/6. Suppose 3*s - s - d = -4*v, 0 = 3*v - s - 8. Calculate the remainder when y is divided by v.
2
Let x = -218 - -260. What is the remainder when x is divided by 11?
9
Suppose 4*s = -3*g + 364, -3*g + s + 0*s + 359 = 0. What is the remainder when g is divided by 31?
27
Suppose 44 = -3*m + 7*m. What is the remainder when m is divided by 4?
3
Let f be (-2)/(-1) - (-1 + 0). Suppose 0 = 5*t - f*t - 2, 0 = 4*c + 3*t - 251. Let u = c + -41. What is the remainder when u is divided by 11?
10
Let c(i) = -4*i + 4. Let n be c(-5). Let h be ((-2)/4)/((-2)/n). Let p = h + -2. What is the remainder when 15 is divided by p?
3
Let b(s) = s. Let x(h) = h**2 - 8*h + 6. Let j(y) = -5*b(y) + x(y). Calculate the remainder when 15 is divided by j(13).
3
Suppose 10*t - t - 351 = 0. What is the remainder when t is divided by 20?
19
Let y(q) = -q**3 + 2. Let g be y(2). Let h = -3 - g. Suppose -h*o + 56 - 11 = 5*n, 4*n - 36 = 2*o. What is the remainder when 17 is divided by n?
8
Let c = 106 + 72. What is the remainder when c is divided by 15?
13
Let q be 0/(6/(-3) - -4). Suppose q*c = 2*c - 24. What is the remainder when 22 is divided by c?
10
Let t = -45 + 81. Let q = t + -26. Calculate the remainder when 32 is divided by (-1)/(-1 + q/11).
10
Let b(o) = -3*o**3 + 2*o**2 + 2*o + 1. Let j be b(-1). Suppose 2*t - 147 = -3*t + 3*x, -j = -4*x. Calculate the remainder when t is divided by 16.
14
Suppose -5*v = -2*j - 8, 0 = -2*j - 0*v + 3*v. What is the remainder when j is divided by 6?
0
Let p be (-54)/(-24) + (-2)/8. Suppose 0 = 3*u + 4*l - 53, p*u - 16 = u - l. What is the remainder when u is divided by 6?
5
Let z be 27/(-18) + 306/4. Let q = -36 + z. What is the remainder when q is divided by 21?
18
Let o(j) = -4*j - 3. Calculate the remainder when o(-3) is divided by -10*((-96)/15 + 6).
1
Let z = 14 - 9. Suppose 5*s + 5 = -z*y + 60, -3*s + 5*y + 73 = 0. What is the remainder when 31 is divided by s?
15
Suppose 0 = -4*b - 7 + 99. What is the remainder when 66 is divided by b?
20
Let x(u) = -u**3 + 6*u**2 + 5*u + 2. Suppose w - 2*w = -4. Suppose -2*b = -w*d - 28, -4*d - 7 - 3 = -b. What is the remainder when x(5) is divided by b?
16
Suppose -20 = -5*d + 15. Let w(b) = -2*b**3 - 3*b - 3. Let t be w(-2). Suppose q + 3*q - 19 = -c, -3*q = c - t. Calculate the remainder when c is divided by d.
5
Let g = 30 + -12. Suppose -2*h = -0*l - l - 19, l = 1. What is the remainder when g is divided by h?
8
Suppose -2*k + 20 = -0*k. Suppose -4*a + 26 = k. Let x(s) = -20*s - 66. Calculate the remainder when x(-4) is divided by a.
2
Suppose 4*b - f - 12 = -0*b, 5*b - 5*f = 0. Suppose -5 = -g, 2*u - 50 = -2*u - 2*g. What is the remainder when u is divided by b?
2
Let r = -17 + 20. Suppose -2*j + 2 = -2*a + 16, 3 = -r*j. Calculate the rema