lculate the remainder when 8/60 - 1046/(-30) is divided by 9.
8
Suppose -b = -3*r - 17, -5*b + 9 = -3*b - r. Suppose -30 = -b*f - 0*f. Suppose 0 = -n + 5*n - 32. Calculate the remainder when f is divided by n.
7
Let v = 6 + -3. Let p(y) = y**2 + 6*y - 5. Let b be p(-7). Let a = b + v. Calculate the remainder when 14 is divided by a.
4
Suppose 2*m + 2*g = 30, -4*g = 2*m + g - 30. What is the remainder when 21 is divided by m?
6
Suppose 0*w = -3*w + 123. Suppose 6*p = -h + p + w, 95 = 5*h + 3*p. Let b = -19 + 28. Calculate the remainder when h is divided by b.
7
Let y = -53 - -97. What is the remainder when y is divided by 15?
14
What is the remainder when 57 is divided by 122/8 + (-2)/8?
12
Suppose 4*w - 172 = 108. What is the remainder when w is divided by 24?
22
Let d be ((-9)/6)/(3/(-164)). Suppose 0 = -2*p - 0*p + d. What is the remainder when p is divided by 14?
13
Suppose 3*w = 4*w - 8. Suppose d = 6 + w. Calculate the remainder when d is divided by -2 - (-11 + (3 - 2)).
6
Suppose -3*x + 6*j + 57 = 2*j, 5*j = -15. What is the remainder when x is divided by 4?
3
Suppose 93 = 5*k - 3*b, -2*k + 5*k - 2*b = 56. Let r(f) = f + 53. Suppose -3*u + 0*u = a, -2*a = -5*u. Calculate the remainder when r(a) is divided by k.
17
Let x = -20 + 34. What is the remainder when 13/(10/(-4) - -3) is divided by x?
12
Let s be (-2)/(-4) - 210/12. Let m = 34 + s. What is the remainder when 32 is divided by m?
15
Let r = -1 + 3. Suppose 0 = i + z - 14, -3*z - 62 = -3*i - r*i. Suppose -5*d = -58 - 62. Calculate the remainder when d is divided by i.
11
Let z(g) = -7*g**2 - 3*g - 4. Let x(o) = 8*o**2 + 2*o + 4. Let f(c) = -3*x(c) - 4*z(c). What is the remainder when f(-4) is divided by 23?
21
Let h(x) = 11*x + 1. Let m be h(4). Suppose 25 = 5*n - m. What is the remainder when n is divided by 8?
6
Suppose 66 = 2*n + 4*x, 6*n - 2*x = n + 225. Suppose -3*u - 4 = -n. What is the remainder when 37 is divided by u?
11
Let o(x) = -x**3 + 12*x**2 - 7*x + 12. Let k be o(11). Suppose 0 = -0*s + 4*s - k. What is the remainder when 41 is divided by s?
13
Let r be (3 + 9/(-2))*-2. Suppose -2*i + 48 = -4*f, r*i + 3*f - 102 = -f. What is the remainder when i is divided by 16?
14
Let y(o) = -8*o - 2. Calculate the remainder when (-257)/(-4) - (-5)/(-20) is divided by y(-3).
20
Let j = -69 + 136. Suppose 0 = -31*y + 26*y + 85. What is the remainder when j is divided by y?
16
Let i(x) be the second derivative of -x**3 - 3*x**2/2 - 2*x. Let j(n) = -3*n - 2. Let t(z) = 2*i(z) - 5*j(z). What is the remainder when 37 is divided by t(3)?
11
What is the remainder when 38 is divided by ((-18)/10 - -1) + (-158)/(-10)?
8
Let f(r) = 1 - r**2 + 2*r**2 - 2*r - 3. Let w be f(4). Suppose -w*m + 3*m + 39 = 0. What is the remainder when 37 is divided by m?
11
Let s(h) = -6*h + 5. Suppose -4*l + 269 = 65. Let a be 2/8 + l/(-12). What is the remainder when s(a) is divided by 10?
9
Let g = 73 - 53. Calculate the remainder when 75 is divided by g.
15
Suppose w = 7*w - 60. Suppose -46 = -4*y + 22. Calculate the remainder when y is divided by w.
7
Suppose -3*z - 2*z = -85. Suppose 3*g = 5*p - 28, 5*p + 8 = -2*g + 31. Suppose -p*d + t = -50, t + 14 = 4*d - 27. What is the remainder when z is divided by d?
8
Let z(n) = 9*n - 1. Let m(l) = -10*l - 4. What is the remainder when m(-7) is divided by z(2)?
15
Let h(b) = -2*b - 5. Let w be h(-4). Suppose 3 + w = 3*i. Let t = -11 - -12. Calculate the remainder when i is divided by t.
0
What is the remainder when 3 is divided by 2/(-9) + 174/54?
0
Let m(t) = t**3 - 6*t**2 + 2*t + 4. Let x be m(6). What is the remainder when ((-52)/x)/((-1)/8) is divided by 12/16*(13 + -1)?
8
Suppose 5*c + 29 = 4*m, 3*c + 41 = 4*m + 2*c. Calculate the remainder when 32 is divided by m.
10
Suppose b - 48 = -29. Calculate the remainder when 48 is divided by b.
10
Suppose 0*q - 104 = -2*q. Let v be (-2)/7 - 16/(-7). What is the remainder when q is divided by 35/2 + v/4?
16
Let w be (-28)/3*(-18)/(-12). Let j = w - -30. Calculate the remainder when (0 + (-2)/6)*-141 is divided by j.
15
Let r = -70 + 119. What is the remainder when r is divided by 26?
23
Let h(x) = 47*x**3 - x**2 - x + 1. Let l(a) be the second derivative of 5*a**3/6 - 2*a**2 - a. What is the remainder when h(1) is divided by l(4)?
14
Suppose x + p = 2*p + 18, -p - 52 = -3*x. Calculate the remainder when 27 is divided by x.
10
Suppose -4*a + 10 + 6 = 0. Suppose 0 = 3*o - i - 51, o = a*i - 11 + 28. Calculate the remainder when 50 is divided by o.
16
Let y(z) = z**2 + z + 1. Let l(q) = -q**3 + q**2 + q + 1. Let k be l(2). What is the remainder when y(-6) is divided by -1*(2 - (k + 14))?
9
Let s(k) = 21*k**2. Let t be s(-1). Let d(p) = 3*p + 2. Let a be d(9). Let q = a - t. What is the remainder when 14 is divided by q?
6
Let h = -87 + 146. What is the remainder when h is divided by 10?
9
Let u be 0 - 1 - (-4 + 1). Suppose 3*p - 4*r = u*p + 6, 0 = -2*r - 2. What is the remainder when 4 is divided by p?
0
Let u(g) = -2*g - 7. What is the remainder when 18 is divided by u(-9)?
7
Suppose 6*i - 3*i = p + 8, 0 = -2*p - i + 19. Let k(w) = w**3 - w**2 + w - 2. Let g be k(0). Calculate the remainder when (76/8)/(g/(-4)) is divided by p.
5
Let u = 7 - -20. Suppose 0*q = 3*q - 42. What is the remainder when u is divided by q?
13
Let c = -1 + 1. Suppose -u + 33 + 5 = c. Suppose -2*n + u - 6 = 0. Calculate the remainder when n is divided by 9.
7
Let o = -274 + 711. Let y = o + -309. Suppose -5*r + y = 3. What is the remainder when r is divided by 13?
12
Let x(p) = -2*p**2 - 16*p - 10. What is the remainder when 41 is divided by x(-6)?
13
Suppose -5*z = -10*z + 35. Calculate the remainder when 27 is divided by z.
6
Suppose -4*s - 4*s = -160. Calculate the remainder when 77 is divided by s.
17
Let o = 118 - 64. What is the remainder when o is divided by 19?
16
Let q be 2 + 0 - 1*-1. Let b(o) = 5 - 42*o**3 - o - 3 - q. Calculate the remainder when b(-1) is divided by 22.
20
Let y be (48/(-28))/(1/(-14)). Calculate the remainder when (-8)/((-2)/y*2) is divided by 17.
14
Suppose 3*z = 6*z - 27. Calculate the remainder when 16 is divided by z.
7
Let r(z) = z**2 + 3*z - 2. Let q be r(5). Suppose -3*w + 23 = 4*k - q, 4*w - 38 = -2*k. Calculate the remainder when 48 is divided by k.
9
Suppose 0*n = 4*n - 112. Let p = 110 + -50. Suppose h = -3*h + p. What is the remainder when n is divided by h?
13
Let d = 67 - 16. Calculate the remainder when d is divided by 26.
25
Suppose -a + 16 = 3*a. Suppose -5*u + x + 109 = -0*u, 2*u + a*x - 26 = 0. What is the remainder when 40 is divided by u?
19
Let m(a) = a**3 + 2*a**2 + a + 2. Let v be m(-2). Suppose v = 3*p - 17 - 49. Suppose 2*q - p = 4. What is the remainder when 23 is divided by q?
10
Suppose 2 + 6 = -c + 3*z, -2*c + 3*z = 4. Suppose -3*d - 40 = -5*d. What is the remainder when d is divided by 2/3*66/c?
9
Let w = -140 - -282. What is the remainder when w is divided by 24?
22
Let w = -122 + 293. Suppose p - 4*z - 8 = 31, -5*p = 4*z - w. Calculate the remainder when p is divided by 12.
11
Let m = -93 - -106. Calculate the remainder when 48 is divided by m.
9
Let d = 11 - 9. Suppose 3*g = -o + d*g + 17, 5*g = 0. Suppose -p + 2*p = 6. What is the remainder when o is divided by p?
5
Suppose 2*x = -5*p + 81, 5*x + 0*p + 2*p = 234. What is the remainder when (6/(-8))/((-2)/x) is divided by 10?
8
Let x(i) = -i**3 - 11*i**2 - 12*i - 11. Let t be x(-10). Calculate the remainder when 57 is divided by 1554/54 + 2/t.
28
Suppose 0*k + 4*c = -2*k + 16, 5*c - 5 = 0. Suppose -24 + k = -2*r. Let p(f) = 3*f**2 - 5*f - 2. What is the remainder when p(4) is divided by r?
8
Let l = -17 + 60. What is the remainder when l is divided by 15?
13
Suppose -164 = -4*g - 2*z, 6*z = -3*g + z + 116. What is the remainder when g is divided by 11?
9
Suppose -g = -2*g - 1. Let x = -1 + g. Calculate the remainder when 59 is divided by 17 + x + (8 - 3).
19
Suppose 0 = -t - t. Suppose t*u + 5 = 5*u. What is the remainder when 16*(7/2 - u) is divided by 14?
12
Suppose -3*k = k + b - 103, 62 = 2*k + 4*b. Calculate the remainder when k is divided by 13.
12
Let g(c) = 28*c**2 - 2*c + 1. Let k be g(1). Suppose -2*o + k = 3*u + o, -u + 2*o = -6. What is the remainder when 29 is divided by u?
5
Calculate the remainder when 67 is divided