1). Suppose 10 = 3*i - x. Calculate the remainder when a is divided by i.
5
Let j(z) = -16*z + 55. Calculate the remainder when j(-6) is divided by 39.
34
Let q be 3 - 3 - (1 - 26). Suppose -v = -4*n - q, 4*v + 0*v - 148 = 4*n. What is the remainder when v is divided by ((-7)/2)/((-2)/8)?
13
Suppose 2*d = -d + 69. Calculate the remainder when d is divided by 12.
11
Suppose 4*a + 4*o + 35 = 91, -4*o = 3*a - 44. Suppose 9*f = 2*f + 35. What is the remainder when a is divided by f?
2
Suppose 211 = c + 5*a, -6*c + 2*c + 769 = 5*a. What is the remainder when c is divided by 17?
16
Let h = -337 - -489. Suppose 3*b + o - h = 0, -6*o + o + 221 = 4*b. What is the remainder when b is divided by 17?
15
Suppose 0 = -0*b + 3*b. Suppose -8 = n + 4*o, 5*n - 2*o = -b*o + 48. What is the remainder when 31 is divided by n?
7
Let h(d) = d - 2*d + 2*d. Let w be h(5). Suppose -w*i + 5*z + 44 = -51, 2*i = 5*z + 26. Calculate the remainder when i is divided by 6.
5
Let i(g) = 2*g**2 - 2*g + 1. Let k be i(2). Suppose 28 = -h + k*h. Calculate the remainder when 32 is divided by h.
4
Suppose 5*s + n + 0*n = 17, 0 = 5*s - 5*n - 5. Let h = 5 - 4. Let j = 7 + h. Calculate the remainder when j is divided by s.
2
Let a(f) = -f + 0 - 2 + 2*f. Calculate the remainder when 4 is divided by a(5).
1
Suppose 8*v - 12*v = -140. Let j(u) = 4*u**2 - 3*u + 2. Let w = 2 - 0. What is the remainder when v is divided by j(w)?
11
Let m(j) = -j**3 - 13*j**2 + 12*j + 21. What is the remainder when 140 is divided by m(-14)?
42
Suppose -4*v = 5*a - 51, 2*a = -3*v + a + 30. What is the remainder when 35 is divided by v?
8
Let r = 8 + 1. What is the remainder when 22 is divided by r?
4
Let v be (12/9)/(1/(-12)). Let k = -43 + 74. Let o = k + v. Calculate the remainder when 28 is divided by o.
13
What is the remainder when 45 is divided by 380/50 - 2/(-5)?
5
Let u be (1 + 0 - 2)*-5. Suppose -u*b = -162 - 68. Let g(m) = 4*m + 4. Calculate the remainder when b is divided by g(5).
22
Suppose 0 = -5*f + 3*i + 185, -3*i = -0*f - 4*f + 151. Let k = f + -24. Suppose 49 = 3*x + k. Calculate the remainder when 50 is divided by x.
11
Let b = 54 + -35. Calculate the remainder when b is divided by 3.
1
Suppose -5*z = 4*m + 15, 7 = 5*z - 2*m - 8. Let u = z - -1. Calculate the remainder when 24 is divided by 3*(19/3 - u).
11
Suppose 3*v - 14 - 13 = 5*g, -5 = 3*g + v. Let q(w) = 4*w**2 - 2*w + 1. What is the remainder when q(g) is divided by 1/1 + 0 + 14?
13
Let g(m) = -2*m**3 - 5*m**2 - 4*m - 4. Let n be g(-4). Let w = n - 26. Suppose 5*x = w + 21. What is the remainder when x is divided by 6?
5
Let c = 23 + -6. What is the remainder when 66 is divided by c?
15
Suppose -4*z + 2*z + 38 = 0. What is the remainder when 74 is divided by z?
17
Let d(q) = 27*q + 5. Let s be d(-2). Let y = 5 - s. Calculate the remainder when y is divided by 14.
12
Suppose v - 39 = -2*v. Calculate the remainder when 24 is divided by v.
11
Let y be (6/(-4))/(4/(-8)). Let s(z) be the second derivative of 11*z**3/6 + z**2 + 3*z. Calculate the remainder when s(y) is divided by 18.
17
Suppose x - 3*x = -94. What is the remainder when x is divided by 16?
15
Let k(a) = 3*a**2 - 6*a + 1. Let f be k(9). Suppose -54 = 4*m - f. Calculate the remainder when m is divided by 12.
10
Let n = 43 - 20. What is the remainder when 45 is divided by n?
22
Let a = -38 + 56. Calculate the remainder when (14/6)/((-4)/(-60)) is divided by a.
17
Let k(n) = -n + 7. Let l be (96/(-40))/((-4)/10). Calculate the remainder when 16/24 - (-14)/l is divided by k(5).
1
Let b = 2 + -4. Let c = 11 + b. What is the remainder when c is divided by 6?
3
Let g(q) = -q**2 - 5*q - 3. Let j be g(-5). Let s(x) = -x + 37. Calculate the remainder when s(0) is divided by (-212)/(-16) - j/(-12).
11
Suppose 0 = -m - f + 45, 3*m - 136 = f - 5*f. Let t = -5 - -20. What is the remainder when m is divided by t?
14
Let v(b) = b**3 - 10*b**2 + 11*b + 2. Let w be v(9). Let j be w/(-9) + 6/27. Calculate the remainder when 5 is divided by (2/2)/((-1)/j).
1
Suppose -3*p + 0*g + 2*g = -41, -5*p = 2*g - 63. Suppose -5*c + 2*r + 1 = -126, 3*c - 74 = -r. Calculate the remainder when c is divided by p.
12
Suppose 3*w + o - 16 = -7, -w + 5*o = -3. Suppose w*h = -3*h + 216. Calculate the remainder when h is divided by 13.
10
Suppose 4*s - s - 63 = 0. Suppose 10 = -t + s. What is the remainder when t is divided by 6?
5
Suppose 2*i = -s + 4, 0*i = -4*i + 2*s + 16. Calculate the remainder when 7 is divided by i.
1
Let c = 1 + 3. Let f(n) be the first derivative of n**2 + n - 1. Calculate the remainder when 25 is divided by f(c).
7
Let g = -6 + 10. Suppose -k = -5*r - 24, -5*r = -g*k + 64 + 2. Calculate the remainder when k is divided by ((-1)/2)/((-10)/100).
4
Let a = -60 - -80. What is the remainder when a is divided by 8?
4
Let c = -14 + 28. Suppose -2*u + 0*u = -108. What is the remainder when u is divided by c?
12
Calculate the remainder when 2/9 + 2980/36 + 3 is divided by 44.
42
Let r(f) = 8*f**2 - 3*f + 2. Let c be r(2). Suppose c = 4*q - 28. Suppose q + 4 = i. Calculate the remainder when 53 is divided by i.
17
Suppose -4 = -s + 2. Let j(h) = h + 6. Calculate the remainder when j(s) is divided by 7.
5
Suppose 0*i + 882 = 7*i. What is the remainder when i is divided by 43?
40
Let w be -1 - -2 - (-1)/(-1). Suppose 2 = 2*c, 2*c = -w*h + 5*h - 33. Suppose 2*b - 32 = 6. What is the remainder when b is divided by h?
5
Let j(p) = 2 - 2 + 1 + 11 - p. What is the remainder when 7 is divided by j(10)?
1
Let u = -163 - -314. Calculate the remainder when u is divided by 22.
19
Suppose -7*t - 164 = -9*t. What is the remainder when t is divided by 21?
19
Calculate the remainder when 12 + -14 - (-138 + -1) is divided by 46.
45
Suppose x = -5*j + 20, -2*x + 10 = -7*j + 2*j. What is the remainder when (-19*1)/(1/(-2)) is divided by x?
8
Let a = -6 - -12. Calculate the remainder when a - (-2 + 1)/(-1) is divided by 3.
2
Let p = 41 - 18. Let g(x) = x + 31. Let v be g(0). Let s = v - 19. Calculate the remainder when p is divided by s.
11
Let z be ((-4)/6)/(2/(-6)). Suppose -c - 4*c + 13 = 4*d, 0 = -z*d - 3*c + 5. Calculate the remainder when 32 is divided by d.
4
Let c(b) = b**3 + 11*b**2 + 7*b - 16. Calculate the remainder when 51 is divided by c(-10).
9
Suppose -2*q - 96 = -6*q. What is the remainder when 166 is divided by q?
22
Let t(d) = 2*d**2 - 4*d + 10. Let x(v) = v**2 - 5*v + 11. Let y(q) = -2*t(q) + 3*x(q). What is the remainder when 6 is divided by y(-8)?
1
Suppose -2*h + 10 = 3*h. Let o(j) = -6*j + 3. Let g be o(h). Calculate the remainder when 8 is divided by ((-15)/g)/((-1)/(-3)).
3
Let r(c) = -10*c - 12. What is the remainder when 14 is divided by r(-2)?
6
Suppose 4*i + c = 31, -3*c + 12 = 2*i + i. What is the remainder when 28 is divided by i?
1
Let r = 88 - 6. What is the remainder when r is divided by 14?
12
Let x(k) = -2*k**3 - 6*k**2 - 6*k - 3. What is the remainder when x(-4) is divided by 4?
1
Let h = 10 + 3. Suppose 3*u = -2*f + 71, 3*u + 0*f = 4*f + 83. Calculate the remainder when u is divided by h.
12
Let p be -2 - 0 - 0 - -138. Suppose -2*o = 2*o - p. Let m = -21 + o. What is the remainder when m is divided by 5?
3
Let o be 6/10 - (-2)/5. Let q be 0 - (0/(-2) + o). Let i = 11 - q. Calculate the remainder when 35 is divided by i.
11
Let y be ((-2)/1)/((-2)/3). Suppose -4*w + 10 = -y*w + 2*s, 0 = s + 2. What is the remainder when (0 + -1)*(-40 - 0) is divided by w?
12
Suppose -2*f - 2*f = -244. Let m = -1 + 17. What is the remainder when f is divided by m?
13
Let v = 59 - 28. What is the remainder when v is divided by 7?
3
Let u(h) = -5*h + 81. Let o = 3 + -1. Suppose 0*w = o*w - 32. Calculate the remainder when w is divided by u(15).
4
Suppose 6*x + 5*g - 124 = 3*x, -25 = -5*g. What is the remainder when x is divided by 7?
5
Calculate the remainder when (-2 + 3)*1*33 is divided by 12.
9
Suppose -4*z = -3*h - 7, -4*h + 11 = 3*z - 13. Calculate the remainder when 9 is divided by z.
1
Let t be 2/(-3) - (-17)/3. Suppose -5*u = -0*u - t, -4*h - 5*u + 21 = 0. Suppose -v - 55 = -6*v. What is the remainder when v is divided by h?
3
Suppose 27 = 5*s + 5*w - 13, s - 18 = w. Calculate the remainder when 47 is divided by s.
8
Suppose -2*n = -49 - 17. What is the remainder when n is divided by 10?
3
