ate the remainder when 45 is divided by c.
13
Let o = 153 - 47. Let i = -43 + o. What is the remainder when i is divided by 17?
12
Suppose 126*q + 360 = 135*q. Calculate the remainder when 238 is divided by q.
38
Let w(n) = n**2 + n - 6. Let d be w(0). Suppose 4*l = 44 - 4. What is the remainder when -9*2/d*6 is divided by l?
8
Suppose -5*z + a + 77 = 0, 4*z - 3*a - 61 = -2*a. Calculate the remainder when 334 is divided by z.
14
Let d = 113 + 496. What is the remainder when d is divided by 17?
14
Suppose 15*c + 4434 = 21*c. What is the remainder when c is divided by 20?
19
Suppose 1422 = 7*x + 2*x. What is the remainder when x is divided by 16?
14
Let f(p) = p**3 - 9*p**2 + 7*p + 4. Let s be f(8). Let x be (6/(-8))/(1/s). Suppose -70 - 29 = -x*l. What is the remainder when l is divided by 17?
16
Suppose -18*n = -22*n + 316. What is the remainder when n is divided by 27?
25
Suppose -5*x + 8 = -x. Let u(z) = 7*z**2 + 4*z + 3. Calculate the remainder when u(-2) is divided by (x + 1 + -2)*6.
5
Let u(a) be the second derivative of a**3/3 - a**2/2 - 39*a. Calculate the remainder when 83 is divided by u(22).
40
Suppose 113*f - 122*f = -666. Calculate the remainder when f is divided by 13.
9
Suppose -d = 5*l + 4, 17*d - 85 = 12*d - 4*l. What is the remainder when 1049 is divided by d?
20
Suppose 6*f = 30 - 6. Suppose 0 = m + f, -4*w = 2*m - m - 76. Calculate the remainder when 56 is divided by w.
16
Let l(x) = x**3 + 34*x**2 + 215*x + 205. Suppose 0 = 4*t - 58 - 14. Calculate the remainder when l(-26) is divided by t.
5
Let p = 37 - 100. Let x = -16 - p. Suppose -32 = -2*o - b, x + 2 = 3*o + 2*b. Calculate the remainder when 29 is divided by o.
14
Let k(c) = c + 2. Let n be k(-17). Let z(h) = -h**2 + 3*h - 2. Let y be z(2). Let q = y - n. Calculate the remainder when 74 is divided by q.
14
Suppose 4*n = -n. Let d be ((-27)/6 - -4)*n. Suppose d = 4*l + 24 - 220. What is the remainder when l is divided by 10?
9
Let q(n) = -2*n**3 + 51*n**2 - 24*n - 20. Let w be q(25). Suppose -20 = -5*m, -w*s = -s + m - 104. What is the remainder when 147 is divided by s?
22
Suppose 5*m + 11*m - 576 = 0. Suppose 0 = -6*x + m. What is the remainder when x is divided by (-68)/(-18) - 4/(-18)?
2
Let a = 36 - 30. Suppose 0 = a*b - 5*b - 34. What is the remainder when b is divided by 19?
15
Let k = -61 - -92. Suppose -6*f = -16*f + 920. Calculate the remainder when f is divided by k.
30
Suppose 0*i = -c - 3*i + 204, 4*c = -i + 849. What is the remainder when c is divided by 9?
6
Let g = 803 + -668. What is the remainder when g is divided by 14?
9
Let s = 60 + -3. What is the remainder when 223 is divided by s?
52
What is the remainder when 76 is divided by (-3 - ((-2 - -1) + -1))*-13?
11
Let q = 104 + -101. Suppose -6 = -b - 4*g, 0*g + 81 = 5*b + q*g. Calculate the remainder when b is divided by 5.
3
Let i(d) = -3*d - 7. Let m be i(-4). Suppose -m*y = -2*y - 15. Suppose 0*u = y*u - 55. Calculate the remainder when 32 is divided by u.
10
Let k = -35 + 60. Let r(l) = 2*l - 3. Calculate the remainder when k is divided by r(8).
12
Let m(x) = -4*x**2 + 34*x - 7. What is the remainder when 218 is divided by m(7)?
8
Calculate the remainder when 99 is divided by (2 + 16)/(-4 + (-54)/(-12)).
27
Calculate the remainder when (-152)/(-380) - 1018*(-1)/5 is divided by 19.
14
Suppose 1276 = 36*p - 1532. What is the remainder when p is divided by 16?
14
Suppose 16*r - 12460 = -12*r. What is the remainder when r is divided by 50?
45
Suppose 31*m - 23*m - 368 = 0. Let z = -37 + 126. Calculate the remainder when z is divided by m.
43
Let t(p) = -16*p - 27*p + 13*p + 3. Let w be t(-3). Let x = w + -54. What is the remainder when x is divided by 14?
11
Suppose z + 4 - 15 = 0. Suppose 161 = 2*i - 5*l, -z*i + 9*i = -3*l - 155. What is the remainder when i is divided by 39?
34
Suppose a - 107 = 250. Let p be 2/9 + a/(-27). What is the remainder when 12 is divided by (-12)/9 - p/3?
0
Let m(j) = 12*j - 3. Let s(w) = 21 + 5*w**2 - 4*w**2 - 14*w - w. Let u be s(14). What is the remainder when m(u) is divided by 21?
18
Suppose -5*k - 58 = -10*k + v, 5*k - 4*v - 67 = 0. Let p be (-12)/10*(-120 - 0). Suppose -5*t + 6 = -p. Calculate the remainder when t is divided by k.
8
Let i be -4 + 19/4 + 39/(-4). Let u = 62 + i. What is the remainder when u is divided by 14?
11
Suppose 0 = 2*q - 3*t - 286, 0 = q + 2*t - 112 - 31. What is the remainder when q is divided by 63?
17
Suppose -h - 3*r = -154, r = -34*h + 32*h + 288. What is the remainder when h is divided by 7?
2
Let m(n) = n**2 - 13*n + 23. Let h be m(11). Suppose h = 10*j - 89. Calculate the remainder when j is divided by 3.
0
Suppose -38 = -l - l - m, 0 = 2*l + 3*m - 34. What is the remainder when 18 is divided by 1/(l/15 - 34/30)?
3
Let r(c) = c**3 - c**2 - 12*c + 48. What is the remainder when r(6) is divided by 16?
12
Suppose x + 372 = 5*x + 4*d, 4*d - 462 = -5*x. Suppose 3*g = 9 + x. Calculate the remainder when g is divided by 6.
3
Let u(i) be the third derivative of i**6/60 + i**5/30 + i**4/8 - 7*i**3/6 - 22*i**2. What is the remainder when 38 is divided by u(2)?
15
Let x(k) = 3*k**2 - k + 2. Let y = 70 - 24. Calculate the remainder when y is divided by x(2).
10
Let a be -3 + 5*(0 - -1). What is the remainder when 44 is divided by ((-6)/6)/(a/(-18))?
8
Let j(n) = n**2 + 0*n - 10 + 5 + 6*n - 15. What is the remainder when j(-9) is divided by 5?
2
Let b(z) = z. Let u(d) = -12*d**2 + 5*d + 1. Let g(f) = 5*b(f) - u(f). What is the remainder when g(1) is divided by 4?
3
Let v(l) = l**3 - 5*l**2 + 10*l - 6. Let j be v(7). Suppose b - 7*b = -j. Calculate the remainder when b is divided by 7.
6
Let w be (-13)/(-6) + 2/(-12). Calculate the remainder when 7/(-14) + 83/w is divided by 15.
11
Suppose -2*n - 190 = 5*i - 4*n, -3*i = -3*n + 105. Let f = 90 + i. What is the remainder when f is divided by 11?
6
Let m(y) = -y**3 - 4*y**2 + 4*y + 1. What is the remainder when 19 is divided by m(-5)?
1
Let y(p) = -7*p + 18. Calculate the remainder when y(-7) is divided by 13.
2
Suppose -153 = -3*s + 3*d, 0 = 13*d - 10*d + 15. Let u(p) = -6*p - 2. Let b be u(-2). Let l = 22 - b. What is the remainder when s is divided by l?
10
Let d = 29 - 29. Suppose d = 4*s - 19 - 49. Calculate the remainder when 50 is divided by s.
16
Let h = 92 - 59. Let a(c) = -c**3 + 37*c**2 - 4 - 70*c**2 + 39*c**2 + 10*c. What is the remainder when h is divided by a(7)?
16
Suppose -4*q - 5*u + 113 = -2*q, -239 = -4*q + 3*u. What is the remainder when 230 is divided by q?
53
Calculate the remainder when (12/(-5))/(30/(-2775)) is divided by 106.
10
Let i = -65 - -196. Calculate the remainder when i is divided by 11.
10
Suppose 0 = -22*a - 127 + 831. Calculate the remainder when 255 is divided by a.
31
Let o = 840 + -806. What is the remainder when o is divided by 6?
4
Suppose -5*l + 22 = 4*a, 5*l - 4*a - 32 = l. Calculate the remainder when 116 is divided by 5*l*(-8 + 9).
26
Let r(p) = 2*p**2 - 21*p - 11. Let x(q) = q**2 - 10*q - 5. Let b(o) = -4*r(o) + 9*x(o). What is the remainder when 23 is divided by b(7)?
5
Suppose -81*x + 76*x + 270 = 0. Calculate the remainder when 323 is divided by x.
53
Suppose -1 + 0 = -l. Let v(c) = c + 3. Let w be v(0). What is the remainder when l is divided by 2 + (w - (3 + 1))?
0
Let d(p) be the second derivative of -p**4/12 + p**3/2 + p**2/2 + 11*p. Let o be d(5). Let w = o - -27. What is the remainder when 88 is divided by w?
16
Let u = 27 - 23. Suppose 5*l + u*q - 16 = 0, l + 3*q - 4 = 2*q. Suppose l = 3*g - 100 - 17. What is the remainder when g is divided by 20?
19
Let w = 1 + 19. Suppose -86 = -11*r - w. What is the remainder when 8 is divided by r?
2
Suppose 0 = 2*y - 4*f - 338, -7*y + 2*f + 813 = -2*y. Calculate the remainder when y is divided by 21.
14
Let g(w) = 8*w + 85. Calculate the remainder when 102 is divided by g(-8).
18
Let n be (3 - 3)/(0 + -2). Suppose 5*t - 196 = f, -5 = 5*t - 3*f - 203. Calculate the remainder when t is divided by (0 - -1)*(n + 14).
11
Suppose -3*u - 4*j = -123, 3*u - 89 = 4*j + 10. Let s be 2 + 6 + -2 + -2. Suppose 43 = 3*y + s. Calculate the remainder when u is divided by y.
11
Let s = -8 - -52. Suppose b + 4*q + 36 = 3*b, 0 = -4*b + q + s. Calculate the remainder when 16 is divided by b.
6
Suppose -7*f + 21*f = 560. C