ivided by 12.
8
Let x = -13 + 24. Suppose 6*w = 5*w + 4*q + 22, -3*w - 4*q = 14. Calculate the remainder when x is divided by w.
1
Calculate the remainder when 184 is divided by 62/(3 + (3 - 4)*2).
60
Suppose -5*f = 3*o - o - 147, -3*o + 3*f + 273 = 0. Calculate the remainder when o is divided by 20.
6
Suppose 39 + 15 = 9*g. Suppose -3*s = t - 64, 5*t + 16 = s - 0*t. Calculate the remainder when s is divided by g.
3
Let x = -352 + 364. What is the remainder when 177 is divided by x?
9
Suppose 1441*y - 1431*y = 80. What is the remainder when 335 is divided by y?
7
Let u be (0 + -2 - (-6)/(-4))*-324. Suppose 5*y = 11*y - u. Calculate the remainder when y is divided by 39.
33
Let h = 167 - 167. Let z(y) = -8*y - 5. Let n be z(-6). Suppose -5*i + o + n = h, 5*i - 4*o = -17 + 69. Calculate the remainder when 53 is divided by i.
5
Let f(s) = s**3 - 35*s**2 + 34*s + 33. Let m = 66 - -32. Calculate the remainder when m is divided by f(34).
32
Let g be 15 + (-4)/4*2. Suppose -2*r + 3*r - 5*x = g, r - 13 = x. What is the remainder when 49 is divided by r?
10
Let u = 31 + -26. Suppose -30 = -3*y + u*s, 2*y - 5*s + 10 = 3*y. Calculate the remainder when 25 is divided by y.
5
Let h = -166 - -276. Suppose -16 = -2*g + g. Calculate the remainder when h is divided by g.
14
Let d be ((-4)/(-12))/(2/48*4). What is the remainder when (-6 - -5)*1*(-29 - d) is divided by 16?
15
What is the remainder when 87 is divided by ((-12)/10)/(((-20)/75)/2)?
6
What is the remainder when 394 is divided by 19053/99 - (-36)/66?
8
Let s(x) = -2*x**3 - 54*x**2 + 3*x + 146. Let a = -2 + 5. Suppose -a*b + 36 = 2*g - 8, -66 = -3*g - 2*b. Calculate the remainder when s(-27) is divided by g.
21
Suppose -4 = -w + 3. Calculate the remainder when 41 is divided by (3 + (w - 3))*3.
20
Let b(i) = 5*i**2 - 2*i - 11*i**2 + 11 - 3*i + 5*i**2. Calculate the remainder when 12 is divided by b(-6).
2
Suppose -26 = -2*q + 5*p - p, 2*q + p - 1 = 0. Suppose 0 = 4*y - 4, -q*i + 4*i = -y + 23. Calculate the remainder when 33 is divided by (i - -2)*12/16.
15
Let j(a) = -49*a + 8. Let b be j(-7). Suppose -f - 3*t = 3*f - b, -3*t = 9. Suppose 0*x - 5*x + f = 0. What is the remainder when 51 is divided by x?
15
Suppose -4*y + 2*q = q - 418, -5*q + 198 = 2*y. Calculate the remainder when y is divided by 15.
14
Let y(l) be the second derivative of -l**3/3 - 19*l**2/2 - 8*l. What is the remainder when y(-20) is divided by (-1 - 2/(-6))*-18?
9
Let v = -7 + 11. Let m(d) = 17*d + 1. Let h(n) = 3*n**2 + 6*n + 18. What is the remainder when m(v) is divided by h(-2)?
15
Suppose 0 = 3*i + 5*s - 383, 5*s + 272 = 2*i - 0*i. What is the remainder when i is divided by 36?
23
Let k = -11 + 38. Let s(p) = p**2 - p + 10. Let v(h) = 6*h - 35. Let r be v(7). Calculate the remainder when s(r) is divided by k.
25
Suppose 4*x - 111 = -3*j - 0*x, 0 = -j - x + 36. Calculate the remainder when j is divided by 16.
1
Let f(m) = 55*m - 8. Let b be f(3). Suppose b = -10*u + 417. Suppose 3*q = 7*q - 300. What is the remainder when q is divided by u?
23
Let l = -13 + 7. Let g(v) = v**2 - v - 6. Calculate the remainder when 105 is divided by g(l).
33
Let z(v) = -v**3 - 8*v**2 + 9*v + 2. Let d be z(-9). Suppose -d*m = 3*m - 100. Calculate the remainder when m is divided by 3.
2
Let g = -9 + 15. Suppose -1 = -s, g*o - 4*s - 26 = o. Suppose k - o*k + h + 89 = 0, k = 2*h + 16. Calculate the remainder when 52 is divided by k.
16
Suppose 4*q = -3*g + 141, 0*q + g = -2*q + 71. Suppose 8*w = 5*w + q. Let v = 0 + w. Calculate the remainder when 34 is divided by v.
10
Let a(w) be the first derivative of -5*w**2/2 + 42*w - 2. What is the remainder when 83 is divided by a(5)?
15
Let l = 1 - -29. Let w = 48 + -43. What is the remainder when l is divided by 20/3*6/w?
6
Suppose -468*v + 100 = -463*v. What is the remainder when 20 is divided by v?
0
Suppose 2*g + 12 = 16. Suppose 2*p = -g*p + 52. What is the remainder when 36 is divided by p?
10
Suppose 4*q = -4*r + 40, -4*q + 7 = -r + 42. Let o(z) = 6*z**2 + z + 0*z**2 - 3*z - 1. Calculate the remainder when o(-2) is divided by r.
12
Let z(k) = 3*k**2 + 17*k + 62. What is the remainder when 160 is divided by z(-6)?
24
Suppose q + 0 = 15. What is the remainder when 44 is divided by q?
14
Suppose 14*r - 16*r + 1610 = -j, -5*r = 2*j - 4043. Calculate the remainder when r is divided by 45.
42
Suppose 0 = k - i - 13, 39 = 10*k - 7*k - 4*i. Suppose -k*x + 2134 = -2*x. What is the remainder when x is divided by 49?
47
Suppose 4*m - 2*f = -m + 97, 2*m = 2*f + 40. Suppose -3*y - 11*y + 154 = 0. What is the remainder when m is divided by y?
8
Let l(m) = 4*m**2 - 54*m - 3. What is the remainder when l(19) is divided by 26?
25
Suppose 0 = 5*n + 2*s - 252, -24 - 256 = -5*n + 5*s. Let c = 20 + -9. Calculate the remainder when n is divided by c.
8
Suppose -17*t = -858 + 127. Calculate the remainder when 165 is divided by t.
36
Let v(k) = 13*k**2 - 337*k + 18. Calculate the remainder when v(26) is divided by 10.
4
Suppose 3*h - 3*v = 54, -42 = 7*h - 11*h - 2*v. What is the remainder when h is divided by 12?
1
Let s(d) = -2*d**2 - 24*d - 27. Let p be s(-15). Let g = -113 - p. Calculate the remainder when g is divided by 1.
0
Suppose w - 10 + 0 = 0. Let d(o) = o**3 - 11*o**2 + 12*o + 9. Calculate the remainder when d(w) is divided by 11.
7
Let v be (44/33)/(1/27). Let x = 56 - v. Let q = x + 2. What is the remainder when 86 is divided by q?
20
Let a(g) = g**2 - 16*g + 9. Let n be a(16). Let s = 15 - n. Calculate the remainder when 2/5 + (-96)/(-10) is divided by s.
4
Let y = 15 - -15. Let p = y - 21. Calculate the remainder when 24 is divided by p.
6
Suppose -6*o + o = 15. Let j be (-6)/((5 + o)/(-1)). Suppose -4*i = 4*q + 16, -4*i + j*q = -q - 24. Calculate the remainder when 2 is divided by i.
0
What is the remainder when (-4 + 0)/4*-113 is divided by 48?
17
Let v = 18 + -11. Let k(r) = -r**2 + 11*r - 12. Let z(m) = -4*m - 2. Calculate the remainder when k(v) is divided by z(-2).
4
Let w = -49 - -51. Suppose 0 = -z - 2*v + 93, -w*z + 134 = -5*v - 79. What is the remainder when z is divided by 50?
49
Suppose 4*g + 2*v = 284, 6*g = 7*g + v - 70. What is the remainder when g is divided by 48?
24
What is the remainder when 573 is divided by (6/7)/((289/(-1904))/(-17))?
93
Let f be (-3)/1 - (-13 + -5). Suppose f*j - 6*j = 261. Calculate the remainder when j is divided by 10.
9
Let i(t) be the second derivative of 2*t**3/3 + 3*t. Let p be i(2). Suppose p = 2*y - 0*y. What is the remainder when y is divided by 1?
0
Let z(m) = m + 3. Suppose -o + 0 + 3 = 0. Let a(f) = f**2 + 2*f + 5. What is the remainder when a(o) is divided by z(4)?
6
Suppose 0 = 2*t + 322 - 1026. What is the remainder when (t/(-55))/((-1)/10) is divided by 22?
20
Suppose -316 = -x - 3*x. Suppose -5*h + 9 = -3*w, 0 = w - 5*w - 4*h + 20. Suppose 4*t = p - 8, w*p - 30 = t + 7. Calculate the remainder when x is divided by p.
19
What is the remainder when 88 is divided by (-24)/(-30) + (-122)/(-10)?
10
Suppose 17*z - 3 = 16*z. Suppose -121 = -2*g - 4*c + 3*c, -z*c = -5*g + 308. Calculate the remainder when g is divided by 21.
19
Let z = 190 - -70. What is the remainder when z is divided by 9?
8
Let g = -8 - -6. Let z = -5 - -6. What is the remainder when 63 is divided by 36 + -2 + g + z?
30
Let u = 1194 - 1186. What is the remainder when 356 is divided by u?
4
Let x = -20 + 29. Suppose x*w - 11 = 8*w. Let g(v) = -25*v - 55. What is the remainder when g(-3) is divided by w?
9
Let r be (1 + -2)/(-1) + 2. What is the remainder when 12 is divided by 1/1*(r + -4)*-3?
0
Let z(w) = -3*w + 13. Let y(m) = m + 1. Let x(n) = -3*y(n) + z(n). What is the remainder when x(-4) is divided by 12?
10
Let n(f) = 8*f**2 - f + 2. Let j be n(-2). Suppose 43*l - 739 = 680. Calculate the remainder when l is divided by (j/16)/((-2)/(-16)).
15
Let l = 1 - -95. Suppose -4*p + 0*p + l = 0. Suppose 4*q + 28 = 3*z, 6*z - 2*q - p = 2*z. Calculate the remainder when z is divided by 3.
1
Let q(o) = -o**3 + 8*o**2 - 7*o + 5. What is the remainder when 203 is divided by q(6)?
28
Let v be ((-4)/3)/(6/(-45)). Suppose -o - 3*d = -10, 6*o - 4*d - v = 4*o. Suppose o = 5*i - 8. What is the remainder when i is divided by 2?
1
Suppose 5*u + 21 - 6 = 0. Suppose -2*b + 2*t + 0*t = 68, t = -5*b - 158.