Let t(a) = -a + 179. Calculate the remainder when t(-57) is divided by 10.
6
Let a = -39 - -133. Let s = a - 32. What is the remainder when s is divided by 22?
18
Let v(u) = 2*u**2 - 2*u + 6. Let i be v(2). Suppose -3*q + i*q = 126. What is the remainder when q is divided by 3?
0
Let l be (1/5)/(5/125). Suppose l*y - 120 = 8*y. Let s = -26 - y. Calculate the remainder when 54 is divided by s.
12
Suppose l - 60 = -l. Suppose 0*d = 2*d - l. Calculate the remainder when 224 is divided by d.
14
Let l be (0 + 2)/(4/10) - 0. Suppose 5*c = -25, -2*c - 2*c = l*w - 115. Calculate the remainder when 78 is divided by w.
24
Let z(d) = -d**2 - 5*d - 2. Let k be z(-3). Suppose 3*x - 4*f - 4 = 0, -30 = -5*x - f - k*f. Suppose 3 + x = y. What is the remainder when y is divided by 5?
2
Let z(l) = 2*l**3 + 8*l**2 - l + 3. Let q(m) = -5*m**3 - 17*m**2 + m - 5. Let b(c) = -3*q(c) - 7*z(c). Calculate the remainder when b(5) is divided by 8.
6
Let g(j) = -3*j + 18. Suppose 0*w - w = -12. Let o be g(w). What is the remainder when (-9)/o + (-105)/(-2) is divided by 14?
11
Let z(l) = l**3 + 12*l**2 - 2*l - 10. Let a be z(-5). Suppose -180*n + a*n + 95 = 0. What is the remainder when n is divided by 6?
1
Let t = -1607 - -1642. Calculate the remainder when 209 is divided by t.
34
Suppose -3*z = 5*v - 205, v + 3*z - 54 = -13. What is the remainder when v is divided by 11?
8
Let c = 22 - 16. Let k(m) = -2*m - m**3 - 8*m**2 + 0*m**2 + 1 + 4*m**2. Calculate the remainder when k(-4) is divided by c.
3
Suppose -5*m + 1434 = 309. Suppose 4*c = j - 70, 5*j + 3*c - m = 2*j. What is the remainder when j is divided by 38?
36
Let c be ((-4)/(-2) - 28)*-17. Suppose -c = -8*u + 3*u - 4*a, u - 3*a - 77 = 0. Let x = -65 + 94. What is the remainder when u is divided by x?
28
Suppose 5 = 2*n - 3. Let p = n + -2. Suppose 7*y - p*y = 105. What is the remainder when 60 is divided by y?
18
Let v(i) = 9*i - 13*i + 42 - 1 + 6. Calculate the remainder when 5 is divided by v(11).
2
Let v(u) = u - 6. Let f be v(12). Let t(j) = -5 + 6*j + 3 - 11. What is the remainder when 91 is divided by t(f)?
22
Let z(m) = 97*m - 44. Calculate the remainder when z(3) is divided by 62.
61
Suppose -3*y = y - 8. Suppose -y*q - 5*v + 28 = -23, q - 2*v = 3. What is the remainder when 51 is divided by q?
12
Let g = 29 + -56. Let h = g + 40. What is the remainder when h is divided by 1?
0
Suppose 4*u + 0*u - 184 = 0. Suppose -f = -8*f + 168. What is the remainder when u is divided by f?
22
Suppose 5*o + 4*d = 1064 - 44, 4*o + 4*d = 820. Suppose c = -3*c + o. Suppose -4*r - 5*s = -35 - 23, c = 4*r + s. What is the remainder when 45 is divided by r?
9
Let c(v) = 4 - 3*v + 2*v + 3*v**2 + 2*v**3 - 3*v**3. Suppose -2*i - 3*a + 53 = 0, 68 = -2*i + 4*i - 2*a. What is the remainder when c(-3) is divided by i?
30
Let v = -1121 - -1128. What is the remainder when 41 is divided by v?
6
Suppose 153 = 3*o - 20*d + 18*d, 3*d = 0. What is the remainder when 252 is divided by o?
48
Let u(q) = -q + 19. Let n(v) be the first derivative of 5*v**2/2 - 4*v + 1. What is the remainder when n(5) is divided by u(8)?
10
Let j(s) = s**2 + 5 - 8 - 3*s - 2. Calculate the remainder when 111 is divided by j(-4).
19
Suppose -2*y = -3*i - 119, 2*y - 173 = -y - i. Suppose -6*v - 2*z + y = -4*v, v - 14 = 4*z. Calculate the remainder when 49 is divided by v.
23
Let j = -19 - 1. Let g = 6 + j. Calculate the remainder when 40 is divided by (12/8)/((-1)/g).
19
Let q be (-4)/(-18) + (-572)/(-18). Let m = -23 + q. Suppose -22 = -d - d - 2*a, -4*d + 54 = 2*a. What is the remainder when d is divided by m?
7
Suppose -r = 0, 5*g - 8*r - 140 = -0*r. What is the remainder when 416 is divided by g?
24
Let i(v) = 38*v - 402. What is the remainder when i(19) is divided by 108?
104
Suppose 0 = 7*v - 175 + 70. What is the remainder when 205 is divided by v?
10
Calculate the remainder when (-17)/((-1870)/68618) + (-1)/(-5) is divided by 63.
57
What is the remainder when 1 + (-1132)/(-8) + (-8)/16 is divided by 11?
10
Let a = 3 + 1. Let t be (-2 - (-15)/9)*-69. Let g = -21 + t. What is the remainder when a is divided by g?
0
Suppose 9 = 4*a + 5. Calculate the remainder when 42 is divided by a - (-40)/(-5)*-1.
6
Calculate the remainder when 1/(6 + (-2177)/363) is divided by 61.
58
Suppose -3*q = -3*h + 3, -q = h - 3*h + 7. Let r be 1/((-1)/(-50)*-2). Let o = r + 47. What is the remainder when o is divided by h?
4
Suppose 13 + 26 = h - 5*t, -2*h - t = -23. Calculate the remainder when h is divided by 14.
0
Let s = 0 - -4. Suppose 9*r = -5*b + s*r + 10, -b - 10 = 4*r. What is the remainder when 16 is divided by b?
4
Let c(q) = 9*q - 88. Calculate the remainder when c(14) is divided by 20.
18
Let h(m) = m**2 - 2*m + 24. Let l be h(0). Let d = l - -3. Let w = d + -21. Calculate the remainder when 15 is divided by w.
3
Suppose -166*s + 173*s = 147. Suppose -36 - 130 = -2*w. What is the remainder when w is divided by s?
20
Let w = -164 + 251. Let g = 41 + -89. Let t = g + w. Calculate the remainder when t is divided by 14.
11
Suppose -5*r + 65 = 2*t, -29 + 3 = -2*r - t. What is the remainder when 62 is divided by r?
10
Suppose 0*p = p - 7. Suppose -2*s = -37 + p. Let n = s + 0. Calculate the remainder when 59 is divided by n.
14
Suppose 0 = 45*l - 82*l + 2109. What is the remainder when l is divided by 12?
9
Let c(v) = -18*v**2 + 3*v - 7. Let a(o) = -18*o**2 + 3*o - 6. Let m(w) = -5*a(w) + 4*c(w). Calculate the remainder when 79 is divided by m(1).
11
Suppose 3*z - x = 37, -2*z + x = -24 - 1. Suppose v = 2*v - 20. What is the remainder when v is divided by z?
8
Let z be (0 - 45)/(-3)*1. Let t = z - 4. Let o(l) = l**2 - 12*l + 21. What is the remainder when o(t) is divided by 3?
1
Let v(h) = h**3 - h**2 - 5*h + 2. Let c be v(3). Suppose 5*y - c*x = -x + 651, 8 = -2*x. What is the remainder when y is divided by 26?
23
Let b = 7 + -3. Let u be b/18 - 1507/99. What is the remainder when u/25 - 253/(-5) is divided by 13?
11
Suppose -53 = -18*a + 19. What is the remainder when a is divided by 4?
0
Suppose 2*z = 4*b - 4 + 2, 5 = 5*b - 2*z. Suppose 4*y + b*t + 42 - 148 = 0, 8 = 4*t. Calculate the remainder when 47 is divided by y.
22
Suppose -5*m - 5*u + 160 = 0, 0*u = -2*m + 2*u + 64. What is the remainder when 82 is divided by m?
18
Let f = -2010 + 2047. What is the remainder when 321 is divided by f?
25
Calculate the remainder when 524/(-1 - -2)*(-42)/(-168) is divided by 19.
17
Let b(m) be the third derivative of 0*m - 4*m**2 + 0 - 11/24*m**4 + 1/6*m**3. Calculate the remainder when b(-7) is divided by 20.
18
Suppose 0 = -4*z + 4*c - 57 - 99, 0 = -z + 3*c - 39. Let w = 46 + z. Calculate the remainder when 22 is divided by w.
1
Let u(c) = -c**3 - 9*c**2 + 4*c + 10. Let y be u(-9). Let q be 26/10 + y/(-65). Let s = 50 - q. Calculate the remainder when s is divided by 12.
11
Let r(n) = -n**3 - 26*n**2 + 17*n - 196. What is the remainder when 441 is divided by r(-27)?
71
Let v(c) = -2*c + 3. Let d be v(0). Suppose d*j = 8 - 2. What is the remainder when 3 is divided by 20/(2 + j) - 3?
1
Let u = 1005 + -926. What is the remainder when 787 is divided by u?
76
Let k be (-262)/16 - (-6)/16. Let t(i) = i**2 + 13*i - 38. Calculate the remainder when 39 is divided by t(k).
9
Let o = -50 - -71. Suppose -125 - 151 = -3*h. Let n = h - 53. Calculate the remainder when n is divided by o.
18
Let l(h) = -h**3 + 3*h**2 + 7*h - 6. Let y be l(4). Suppose 2*b + 5*f = 487, 899 = 4*b + f - y*f. Calculate the remainder when b is divided by 39.
36
Let a = -3 + 5. Suppose -8 = -a*q + 26. Suppose -199 + 1 = -3*j. What is the remainder when j is divided by q?
15
Calculate the remainder when (-2)/(-5) + (-266)/(-10) is divided by (-243)/(-18) - (-4)/8.
13
Calculate the remainder when 141 is divided by -2 - (-66)/(-18)*-3.
6
Let h(v) = -v**3 + 8*v**2 - 8*v + 7. Let n be (-3)/2*8/(-6). Suppose -n*g + 0 = -30. Calculate the remainder when h(5) is divided by g.
12
Suppose s - 6 = -5*d, 3*s = -s + 2*d + 90. Calculate the remainder when 37 is divided by s.
16
Suppose 0 = 11*y + 43 - 10. Let f(x) = x**2 + 5*x + 15. What is the remainder when 51 is divided by f(y)?
6
Suppose -4*l = -3 - 9. Suppose 0 = 3*p - 4*y - 259, -4*p - y + 332 = -l*y. Calculate the remainder when p is divided by 14.
11
Suppose 0 = -0*b - 4*b