emainder when f is divided by a.
11
Let c(m) = 21*m**2 + 12*m + 14. Calculate the remainder when c(-2) is divided by 15.
14
Suppose -1366 - 401 = -19*z. Calculate the remainder when z is divided by 6.
3
Let z(r) = 172*r**2 - 68*r + 69. What is the remainder when z(1) is divided by 29?
28
Let t = -1 + 9. Suppose 0 = -t*n + 16 + 16. What is the remainder when 14 is divided by n?
2
Let q = 43 + -40. Suppose -2*n - q*n + 10 = 0, 27 = 3*p - 3*n. Let i = -106 - -159. What is the remainder when i is divided by p?
9
Suppose 0 = -3*r + 60 - 21. Suppose 8*b - r*b = -70. What is the remainder when 41 is divided by b?
13
Let w = 104 - 102. Suppose 0 = -w*u - 2*u + 220. Calculate the remainder when u is divided by 28.
27
Let m = 1389 - 1366. Calculate the remainder when 1355 is divided by m.
21
Suppose -19*m + 533 = -588. What is the remainder when 100 is divided by m?
41
Suppose 0 = -13*i + 251 - 238. What is the remainder when 23 is divided by i?
0
Let i = 780 - 774. What is the remainder when 56 is divided by i?
2
Let g = -20 + 10. Let u = 10 + g. Suppose u = 5*z - 78 - 12. What is the remainder when 70 is divided by z?
16
Let f(z) = -5*z + 1. Let h(s) = -9*s + 3. Let v(g) = -5*f(g) + 2*h(g). Calculate the remainder when v(6) is divided by 23.
20
Suppose 2*d = 4*d + 284. Let p = 247 + d. What is the remainder when p is divided by 18?
15
Let f(h) = -6*h - 1. Suppose -6*g + 260 = -2*g. Calculate the remainder when g is divided by f(-4).
19
Let j = 520 + -328. Suppose 33*m - 1036 = 24*m - 28*m. What is the remainder when j is divided by m?
24
Let l(n) be the second derivative of -n**3/6 + 8*n**2 + 3*n. Suppose z - 4*z + 18 = 0. Calculate the remainder when 38 is divided by l(z).
8
Let l = 12 + 0. Let r(k) = 4*k + 78. Calculate the remainder when r(-14) is divided by l.
10
Suppose 1668 = 12*g - 1464. What is the remainder when g is divided by 11?
8
Calculate the remainder when 54 is divided by 19/((-2)/(-4) - 2/(-4)).
16
Let b(i) = i + 4. Let s be b(-10). Let c = s - -28. What is the remainder when c is divided by 12?
10
Suppose -4*n = -3*v + v - 48, -4*n + 48 = 5*v. Let h = 9 + -7. Suppose 7 + h = 3*w. Calculate the remainder when n is divided by w.
0
Suppose 12*k = 16*k - 44. Suppose -2*w - 1 + k = 0. Calculate the remainder when w is divided by 2.
1
Let o = 285 + 68. What is the remainder when o is divided by 115?
8
Let o(b) = 2*b**3 - 8*b**2 + 9*b + 1. Suppose -2*w + 4*w = 92. What is the remainder when w is divided by o(3)?
6
Suppose 4*s = 4*t - 16, 2*s = 5*t + 3 - 23. Suppose s = 5*w - w. Suppose w*c - 195 = -5*c. Calculate the remainder when c is divided by 20.
19
Calculate the remainder when 87 is divided by 9*5 - (25 - 25).
42
Calculate the remainder when 141 is divided by -16*-7*(-24)/(-32).
57
Let d = -27 - -117. Suppose 0 = -4*t + 2*f + 280, -f + 339 = 5*t + 2*f. Suppose -8*v = -11*v + t. What is the remainder when d is divided by v?
21
What is the remainder when (-224)/(-6) + 24/36 is divided by 17?
4
Suppose a + 15 = 4*a, -5*v + 4*a + 140 = 0. What is the remainder when 158 is divided by v?
30
Suppose 0*x = 4*x - 4680. Suppose 185*p - x = 180*p. What is the remainder when p is divided by 47?
46
Let t(f) = -6*f**2 + f - 1. Let p be t(1). Let r(u) = -2*u**3 - 6*u**2 + 7*u + 5. What is the remainder when r(p) is divided by 45?
44
Suppose 3 = z + 2*r, 0 = -4*z - 4*r + 38 - 14. Suppose -1 - 1 = -3*l - 2*q, 5*l + 5*q = 0. What is the remainder when 1090/45 - l/z is divided by 9?
6
Suppose -16*k = -12*k - 12. Calculate the remainder when 35 is divided by k.
2
What is the remainder when 1120/11 - 8 - (-6)/33 is divided by 32?
30
Let o = 12 - 8. Suppose 2*i + 0*c - 98 = 2*c, 3*c + 196 = o*i. Let n = -12 + i. What is the remainder when n is divided by 13?
11
Suppose w + y = -3*y + 165, w - 168 = -y. Calculate the remainder when w is divided by 57.
55
Let h(t) = -12*t**2 + t. Let b be h(-1). Let q = 27 + b. What is the remainder when 43 is divided by 14/(-49) + 214/q?
13
Suppose 3*o - 2*c = 289, -5*o - 5*c + 777 = 287. Let k = o + -67. Calculate the remainder when k is divided by 8.
6
Calculate the remainder when 33 is divided by 10*(-5)/(-100) - 34/(-4).
6
Suppose 162 = -42*v + 44*v. Let y = -31 + v. Suppose -n = 2*f - y, -5*f + 119 = n - 0*n. What is the remainder when 43 is divided by f?
20
Let d(h) be the first derivative of 21*h**2/2 + 2*h - 1. Suppose 3*l + 2*l = 45. Calculate the remainder when d(2) is divided by l.
8
Let y be -2*(-6)/(-8)*-12. Suppose -2*z = z - y. Suppose 1 = 2*k - 5*p, 0*p - 4*p + 7 = k. What is the remainder when z is divided by k?
0
Suppose -19 = -3*f - 2*r, -4*r - r + 25 = 0. Let o(d) = d**2 - 4. What is the remainder when -3 + (23 - (-6)/(-3)) is divided by o(f)?
3
Suppose -3*y = 2*a - 187 - 544, 4*a = 3*y - 707. Calculate the remainder when y is divided by 80.
1
Let t = 103 + -158. Let w = t - -97. What is the remainder when w is divided by 17?
8
Suppose -252 = 5*h - 1172. What is the remainder when h is divided by 48?
40
Let d be 18/10 - (5 + 104/(-20)). Suppose -3*c + 67 = 5*m, -5*m + 4*c = -d*m - 46. Calculate the remainder when (-246)/(-4)*(-2)/(-3) is divided by m.
13
Let s be (-5)/(-25) + 1/(-5). Suppose s = r + 1 - 7. Let w = 34 + -11. What is the remainder when w is divided by r?
5
Calculate the remainder when (42/(-15) + 0)/(12/(-30)) is divided by 5.
2
Let u(j) = 6*j + 15. Calculate the remainder when 340 is divided by u(12).
79
Let u = 8 + -10. Let k be u/(-18) + 3231/81. Suppose -4*x + 2*x = -k. Calculate the remainder when x is divided by 12.
8
Let w = -66 - -77. What is the remainder when 34 is divided by 1 + w/(-2)*1*-2?
10
Let y(q) = 2*q**3 - 3*q**2 + 3*q. Suppose -s = 11*s - 348. What is the remainder when s is divided by y(2)?
9
Let g(a) = -55*a**3 + 2*a**2 - a - 2. Let t be g(-1). Suppose -15*b + 11*b + t = 0. Calculate the remainder when b is divided by 4.
2
Suppose -3*l + 5*l + 10 = 0. Let s be 225/l*(-3 + 2). Suppose -2*j = -15 - s. Calculate the remainder when 119 is divided by j.
29
Let a = -6 - -9. Let q = -16 + 20. Suppose u - 6*u - 24 = -q*w, 0 = -5*w - a*u + 67. What is the remainder when 53 is divided by w?
9
Let i(q) = -5*q - 5. Suppose -29*n + 48*n - 266 = 0. What is the remainder when i(-6) is divided by n?
11
Let u(o) = o - 5. Let y be u(3). Let r be 0/((8/4)/y). Suppose -2*t + r + 14 = 0. Calculate the remainder when 18 is divided by t.
4
Let n = -123 + 192. Calculate the remainder when n is divided by 39.
30
Let r = -41 - -53. What is the remainder when 59 is divided by (r/(-8) + 4)*12?
29
What is the remainder when (120/(-25) - -6)*170 is divided by 8?
4
Let b = 340 + -175. What is the remainder when b is divided by 60?
45
Let a(b) = -16*b - 75. Suppose -3*w + 4*h + 32 = w, -5*w + 3*h = -44. What is the remainder when a(-7) is divided by w?
7
Let j = -220 + 249. Calculate the remainder when 142 is divided by j.
26
Let g = 18 + 4. Let i = 44 - g. Suppose -i + 4 = -3*s. Calculate the remainder when 22 is divided by s.
4
Let g = 20 - 19. Calculate the remainder when 46 - g - (2 - 5) is divided by 17.
14
Let k = -177 - -181. Calculate the remainder when 36 is divided by k.
0
Suppose -5*k - 16 = -k, -4*i - 4*k + 4 = 0. Calculate the remainder when 159 is divided by i.
4
Let i(p) = 2*p. Suppose -4*u - v - 4 = 0, 0 = -2*u - v - v + 4. Calculate the remainder when (46/4)/(u/(-4)) is divided by i(3).
5
Suppose 3*y - 10 = -4*q + 6, -4*q = -2*y - 16. Suppose -7*h + h + 1998 = y. Calculate the remainder when h is divided by 14.
11
Let d = 114 - 70. Let b = d - 19. Calculate the remainder when 48/(2 - 1) + -2 is divided by b.
21
Let t = -15 + 26. Suppose -24 = 5*o - 389. What is the remainder when o is divided by t?
7
Suppose 11 = -j + 10. What is the remainder when 38 is divided by (10/30)/(j/(-39))?
12
Let u = 528 - 432. Calculate the remainder when u is divided by 76.
20
Let y(g) = -g + 8. Let n be y(4). Suppose -4*t + n*l + 36 = 0, -2*t - 3*t + 2*l = -60. What is the remainder when 54 is divided by t?
12
Let f(w) = 7*w**2 - 39*w - 106. Calculate the remainder when 143 is divided by f(-3).
69
Let p = -137 - -98. Let t = p + 61. Suppose 3*j = -2*j + 325. Calculate the remainder when j is divided by t.
21
Suppose -157 = -4*u + 87. Let n = 18 + u. Let p = 2 + 18. What is the remainder when n is 