ate the remainder when s is divided by ((-39)/21 - r)*-7.
3
Suppose -21 = -2*o + 13. Suppose 22 = 4*u + 14. Suppose r - u*r = -10. Calculate the remainder when o is divided by r.
7
Suppose 2*s = -2*s + 84. Let l(g) be the third derivative of 11*g**4/24 + 3*g**2. Calculate the remainder when s is divided by l(1).
10
Let d(m) = m**2 + 2*m - 3. Let x be d(-4). Suppose -22 = q - 5*z - 61, 5*q - x*z = 175. Let a = q - -8. What is the remainder when a is divided by 22?
20
Let v = -489 + 284. Let s = v + 314. What is the remainder when s is divided by 22?
21
Let g = 318 + -158. What is the remainder when g is divided by 83?
77
Let u = 284 + 183. What is the remainder when u is divided by 12?
11
Suppose -5*x + 5 = -10. Suppose -3*c = -4*c + x. Calculate the remainder when (-310)/(-4) + c/2 is divided by 27.
25
Suppose 0 = -3*z + 4*b - 2, -3*z = -6*z - b - 22. What is the remainder when (1/2)/(z/(-312)) is divided by (32/(-6) - -5)*-27?
8
Suppose 3*i - 55 = -t, -2*t - 4 = -0. Let f = i + -17. Suppose 2*v = -k + 33, -2*v - 4*k = -f*k - 38. What is the remainder when v is divided by 3?
2
Suppose -2065 = -419*h + 414*h. Calculate the remainder when h is divided by 32.
29
Let t(d) = -d**3 + 8*d**2 + 3*d - 14. Let g be (6/5)/((-18)/(-120)). Calculate the remainder when t(g) is divided by 3.
1
Let t(f) = f**3 + 26*f**2 + 23*f + 77. What is the remainder when t(-25) is divided by 10?
7
Calculate the remainder when (-2)/(8/(-591)) - 15/(-12) is divided by 83.
66
Suppose 5*x - 60 = -3*w, -4*w + 4*x = w - 63. What is the remainder when 56 is divided by w?
11
Let m = -382 + 403. Let q(z) = z**2 - 2*z - 4. Let x be q(3). Let y = x - -12. Calculate the remainder when m is divided by y.
10
Let v(x) = -2*x - 6. Let z be v(4). Let k be (-6)/15 + z/(-35). Suppose -5*y = -5*n + 5, -4*n + k = -2*y - 4. Calculate the remainder when 5 is divided by n.
0
Let o = 46 - 23. Let a(b) = -5*b - 2*b**2 + 6 + 5*b**2 + b**3 - 2*b**2. Calculate the remainder when a(4) is divided by o.
20
Let j(a) = 9*a - 12. Let x = -361 + 373. What is the remainder when j(5) is divided by x?
9
Let c(z) = -268*z - 4017. Let y(j) = j**3 - 5*j**2 + 5. Let r be y(5). Let f(p) = -p + 7. What is the remainder when c(-15) is divided by f(r)?
1
Let o be (-87 + 9)/(2/3). Let p = 176 + o. Calculate the remainder when p is divided by 15.
14
Suppose -6*o = -o - 10, -g - 7 = -3*o. What is the remainder when (g + 135/6)/((-2)/(-4)) is divided by 18?
7
Suppose 2677 = 4*p + g, -24*p + 27*p + 4*g = 1998. Calculate the remainder when p is divided by 14.
12
Let a = 109 - 8. Calculate the remainder when a is divided by 38.
25
Let y be (-1)/2*(6*4)/(-1). Suppose 8*f = y + 4. Calculate the remainder when 10 is divided by f.
0
Let j = 8 + -3. Let c(o) = 4*o**2 + 3*o + 2. Let g be c(4). Suppose -j*z + 2*i + 74 = 0, -9*z + 4*i = -4*z - g. What is the remainder when z is divided by 5?
4
Let m(g) = -g**2 - 5*g + 3. Let f(j) = j**2 + 4. Let x be f(0). Suppose 3*o - 20 = -o, 0 = -3*i - x*o + 8. What is the remainder when m(i) is divided by 2?
1
Suppose 15*p + 85 = 20*p. Calculate the remainder when p is divided by 8.
1
Let c = 11 + 38. Suppose -3*s - 48 + 8 = 2*r, 5*s - 3*r + 92 = 0. Calculate the remainder when c is divided by -2*1 - (s + (-3)/(-3)).
10
Let f = -463 - -487. What is the remainder when 523 is divided by f?
19
Let d be 2/4*1/((-4)/(-8)). Calculate the remainder when 68 is divided by d/(-2)*1190/(-17).
33
Suppose 0 = -3*l - 4*c + 5*c + 12, -4*l - c = -9. Let q = -26 - -27. What is the remainder when l is divided by q?
0
Suppose 1118*c - 1121*c + 96 = -3*o, 4*c + 2*o - 104 = 0. What is the remainder when 81/2*(-2 + 4) is divided by c?
25
Suppose 2*n = -3*n - 10. Calculate the remainder when n/8 - (-195)/12 is divided by 10.
6
Let x = 20 + -8. Let h(l) = -3*l - 1. Let c be h(1). What is the remainder when 26 + 6*c/6 is divided by x?
10
Let y be -10 - (0 - (5 + -3)). Let q = y + 0. What is the remainder when 6 is divided by (3/4)/((-3)/q)?
0
Suppose -v - 7 + 4 = 0. Let j = 3 + v. Suppose j = u - 3*r - 4, -6*u + 68 = -u + r. Calculate the remainder when 23 is divided by u.
10
Suppose 7*c - 18 = 4*c. Suppose 3*y + 75 = c*y. Calculate the remainder when 98 is divided by y.
23
Let s = 18 - 16. Suppose -45 = -5*x - s*u, -2*u = x + 3*u + 14. Suppose -5*l + 4*b + 90 = -b, 3*b = -2*l + x. Calculate the remainder when 24 is divided by l.
11
Let x = -20 + 35. Suppose -2*g = 3*g - x. Calculate the remainder when 26 is divided by 11 - g/(9/6).
8
Let x = -134 - -159. Suppose 0 = 2*w - 19 - x. What is the remainder when 173 is divided by w?
19
Let v(o) = 2*o**3 - 44*o**2 + 46*o - 20. What is the remainder when v(21) is divided by 18?
10
Let j(m) = 154*m**2 - m - 2. What is the remainder when 311 is divided by j(-1)?
5
Let m(z) = -z - 1. Let x(w) = w**2 + 15*w - 11. Let u(t) = -2*m(t) - x(t). What is the remainder when u(-8) is divided by 14?
11
Let c(l) = l**3 - 10*l**2 - 13*l + 63. What is the remainder when 79 is divided by c(11)?
38
Let g(r) = r**3 - 33*r**2 + 7*r - 193. Calculate the remainder when 530 is divided by g(33).
36
Suppose -9 = -3*g, -5*g = -3*z + 8 + 196. What is the remainder when z is divided by 51?
22
Let p(k) = -k + 6. Let c be p(6). Let z = 38 + c. Suppose -12*q + 91 = -5*q. Calculate the remainder when z is divided by q.
12
Let m = -215 + 228. What is the remainder when 44 is divided by m?
5
Suppose 0 = -8*o + 6*o + 182. Let q = -273 + 319. Calculate the remainder when o is divided by q.
45
Suppose -10 + 818 = 8*y. Suppose -4*j + y - 25 = 0. Suppose -2*p + 12 = -2*x, 0 = -5*p - 2*x - 0*x + 37. Calculate the remainder when j is divided by p.
5
Suppose 4*w = -10*w - 56. Let s = 11 - -19. What is the remainder when s is divided by w + 50/13 - 106/(-13)?
6
Let g(s) = 2*s**2 - s - 1. Calculate the remainder when (8/(-44) - 2930/(-385))*(-35)/(-10) is divided by g(-2).
8
Suppose 2*s = -12*s + 1414. Calculate the remainder when s is divided by 39.
23
Suppose -3*j + 0*j = -39. Suppose -p + 69*l + 7 = 66*l, 4*p - 5*l - 21 = 0. Calculate the remainder when j is divided by p.
1
Let p be -2 + 3 + 3 + -1. Suppose -2*n + 15 = p*r, -n + 4*r + 50 = n. Calculate the remainder when n is divided by 3*(2/(-3) - -2).
3
Let t(i) = -3*i - 20. Let y be t(-8). Suppose 2*u - y = u. Let v(a) = -a**3 - 4*a**2 + a - 7. Calculate the remainder when v(-5) is divided by u.
1
Let o = 468 - 419. Calculate the remainder when 140 is divided by o.
42
Let z(k) = k**3 - 7*k**2 + 5. Let a be z(7). Suppose 3*o - 78 = -a*x, 3*x - 62 = 5*o - 22. Calculate the remainder when x is divided by (3 + (1 - 0))/1.
3
Suppose -68 = 10*f - 11*f. Calculate the remainder when 201 is divided by f.
65
Let c(f) = 12*f**2 - 65*f - 128. Calculate the remainder when 200 is divided by c(-2).
0
Let q(i) = -2*i + 155. What is the remainder when q(15) is divided by 16?
13
Let b(a) = a**2 + 2*a + 2. Suppose -3*n = 5*w + 35, 3*w + 7 = 2*w - 4*n. Let k be b(w). Calculate the remainder when k/4*(-3 + 7) is divided by 20.
17
Suppose -2*t + 3*t = 23. Let c = 118 - 103. Calculate the remainder when t is divided by c.
8
Suppose 3*t - f + 39 = 8*t, 2*t - 17 = f. Suppose -4*a + 7 + 81 = 0. Calculate the remainder when a is divided by 2/(-8) - (-66)/t.
6
Let i be (408/9)/4*(-9)/(-6). Suppose -79 = -i*t + 16*t. Calculate the remainder when t is divided by (-1)/((-38)/(-40) - 1).
19
Suppose -28 + 96 = n + 3*k, -262 = -4*n - 2*k. Calculate the remainder when 194 is divided by n.
64
Let p(r) = 24*r + 87. Calculate the remainder when 26 is divided by p(-3).
11
Suppose -5*f + 30 = -75. Suppose -j + f = 14. What is the remainder when j is divided by (1/(-2))/(2/(-16))?
3
Let v(r) = 5*r**2 + 53*r + 11. What is the remainder when v(-14) is divided by 12?
9
Let l = -39 - -77. Suppose -l + 1 = -i. Calculate the remainder when i is divided by 13.
11
Let f(j) = -j**3 - 4*j**2 + 4*j + 3. What is the remainder when f(-6) is divided by (-312)/(-21) + 6/294*7?
6
Let w = 3015 - 2990. Calculate the remainder when 70 is divided by w.
20
Let b = -382 - -266. Let l = b + 162. What is the remainder when l is divided by (-3)/(9/(-96)*2)?
14
Let g(u) = u**3 + 7*u**2 - 80*u + 5. Calculate the remainder when 82 is divided by g(-13).
20
Suppose -b - 12 + 4 = -2*z, 0 = 5*z + b - 20. What is the remainder whe