12). Let f = 3 + i. What is the remainder when 19 is divided by f?
8
Suppose 5*i - 25 = -0*i. Suppose i*d - 90 + 30 = 0. Suppose 3*w - 117 = -d. Calculate the remainder when w is divided by 19.
16
Let i(n) = -n**3. Let p be i(-1). Calculate the remainder when 68/p*(-5)/(-10) is divided by 12.
10
Let v(x) = x**2 + x + 1. Let k(w) = -5*w**2 - 8*w - 6. Let n(t) = -k(t) - 3*v(t). What is the remainder when n(-5) is divided by 15?
13
Suppose 2*q = 2*v - 312, 4*v + v + 4*q - 798 = 0. Let w = 22 - 8. Calculate the remainder when (-1)/(3 + v/(-52)) is divided by w.
12
Let i = 25 - 19. Calculate the remainder when 9 is divided by i.
3
Suppose -15 = 5*v, 4*v = 5*h - 83 + 1. Let f(b) = 9 + 7*b**2 + b**3 + b**2 - b**2 + 3*b. Calculate the remainder when f(-6) is divided by h.
13
Suppose 30 + 10 = 5*o. Suppose 0 = -0*t - 3*t + 3. Let l = o - t. Calculate the remainder when l is divided by 4.
3
Let u(n) = n**3 + 9*n**2 + 6*n - 3. What is the remainder when 24 is divided by u(-8)?
11
Let m = -57 + 80. Let h(q) = q - 6. Let c be h(10). Suppose 0 = c*i - 21 - 27. What is the remainder when m is divided by i?
11
Suppose 10*j - 70 = 8*j. Calculate the remainder when j is divided by 4.
3
Let b(l) = -2*l - 13. Suppose -3*x + 0*h = -5*h + 7, 3*x + 2*h + 35 = 0. What is the remainder when 14 is divided by b(x)?
4
Suppose 6*t - 3*t = 0. Suppose -7*d + 3*d + 28 = t. Suppose d*h - 3*h + 26 = 2*v, 5*h = -4*v. What is the remainder when v is divided by 4?
1
What is the remainder when 20 is divided by (-26)/(-4) + (-7)/(-14)?
6
Suppose -2*h = -y - h + 24, -h = 4*y - 91. What is the remainder when 89 is divided by y?
20
Let w(y) = y**2 + 5*y + 6. Let f be w(-4). Suppose 0 = -i - f*i + 27. Let u = 38 + -32. Calculate the remainder when i is divided by u.
3
Calculate the remainder when ((-56)/(-6))/(8/12) is divided by 8.
6
Suppose 2*k = 43 + 19. What is the remainder when 122 is divided by k?
29
Calculate the remainder when 310/(0 + 2) - 4 is divided by 38.
37
What is the remainder when 29 is divided by 81/12 - 12/16?
5
Let u = 124 - 101. Calculate the remainder when 251 is divided by u.
21
Suppose 0*w + 3*w - 65 = -5*q, -w = -4*q + 35. Let b be q/35 + 1286/7. Calculate the remainder when (-1)/3 + b/3 is divided by 21.
19
Let o(v) = 5*v + 2. Let i(q) = -q - 10. Let k(c) = -2*c - 11. Let j(n) = -4*i(n) + 3*k(n). What is the remainder when o(6) is divided by j(-5)?
15
Suppose 0 = 3*p + 2*x, -7 + 19 = 4*x. Let a be p*((2 - 53) + -1). Let d = a + -55. What is the remainder when d is divided by 17?
15
Let n = 10 - 2. Suppose -208 = 4*q - n*q. Suppose 2*m + m + d - 58 = 0, -2*m - 4*d = -q. Calculate the remainder when m is divided by 10.
8
Let j(v) = 3*v + 5. Let m = -15 + 4. Let r = 20 + m. Calculate the remainder when j(7) is divided by r.
8
Suppose -l + 0 = 13. Let f = 18 + l. Let u = 6 - -7. What is the remainder when u is divided by f?
3
Let t = -4 - -4. Suppose -5 = n - t*n, 0 = -3*m - n + 1. What is the remainder when m is divided by 1?
0
Let l(u) = -2*u**2 - 35*u - 5. Let c = 16 - -10. Calculate the remainder when l(-4) is divided by c.
25
Let t = -12 - -37. Suppose -3*w = 4*j - 2*j - 19, 43 = 3*w - 4*j. Suppose -w = -0*s - s. What is the remainder when t is divided by s?
7
Let h(m) = -3*m + 11. Calculate the remainder when h(-12) is divided by 12.
11
Let c(i) = -i**3 - 13*i**2 - 15*i - 14. Calculate the remainder when 40 is divided by c(-12).
18
Suppose 4*g + 5*d = 48, 5*g + 2*d - 94 = -17. Let w = -1 + 7. Calculate the remainder when g is divided by w.
5
What is the remainder when 77 is divided by (-585)/(-25) + 4 - 4/10?
23
Suppose 10*l - 1086 = -436. Calculate the remainder when l is divided by 6.
5
Let l(m) = m**3 + 5*m**2 + 6*m + 10. Let r be l(-4). Suppose 0*v - 26 = -r*v. Calculate the remainder when 38 is divided by v.
12
Let x(z) = -17*z**3 - z**2 - 2*z - 1. Calculate the remainder when x(-1) is divided by 9.
8
Let o = -16 + 22. Let i = 10 - o. What is the remainder when i is divided by 2/(-4) + (-7)/(-2)?
1
Let l = -4 - -5. Let h = 22 - 16. Calculate the remainder when ((-3)/(-3))/(l/15) is divided by h.
3
Let b = 258 + -73. Calculate the remainder when b is divided by 11.
9
Calculate the remainder when 64 is divided by (22/(-4))/(10/(-20)).
9
Let z be (-5 - -1)*(-2)/(-4). Let w(o) = 6*o**2 + 2. What is the remainder when 101 is divided by w(z)?
23
Let n = -95 + 147. Suppose 2*j = -2*j + n. Suppose 4 - 41 = -w. Calculate the remainder when w is divided by j.
11
Let g = -21 - -32. Let v(z) = 15*z - 3. What is the remainder when v(3) is divided by g?
9
Suppose 2*m + a - 7 = -0, a + 23 = 3*m. What is the remainder when 23 is divided by m?
5
Let k be 1 + 6/(-9)*-3. Suppose 7 = f - k. Let x(i) = -i**3 - 5*i**2 + 3*i + 1. Calculate the remainder when x(-6) is divided by f.
9
Suppose -17 = -0*u - u - b, -3*b - 12 = 0. Let n be (-42)/4 + 1/(-2). Let v = 22 + n. Calculate the remainder when u is divided by v.
10
Let o be 21/6 - 1/(-2). Suppose -2 = -o*x + 18. What is the remainder when 8 is divided by x?
3
Suppose 22*c = 24*c - 212. What is the remainder when c is divided by 54?
52
Suppose 4*b = -5*j + 34, 4*b - 22 = -j + 4. Suppose 0 = 2*v - 5*v + b. Suppose -3*w + 70 = v*w. Calculate the remainder when w is divided by 8.
6
Let b be (24/16)/((-6)/(-20)). Suppose 77 = -a + 5*a + g, 5*a + b*g = 100. What is the remainder when 94 is divided by a?
18
Suppose -4*h + 5*b + 57 = 0, -4*b + 29 - 7 = 2*h. Suppose x + h = -5*v - 11, 8 = -x - v. What is the remainder when 8 is divided by ((-10)/(-15))/(x/(-18))?
2
Suppose -4 - 272 = -5*v - 4*n, -3*v + 3*n = -144. Suppose -4*g = -0*g - 20. Let r(j) = -j**2 + 9*j - 2. Calculate the remainder when v is divided by r(g).
16
Let f = -1 - -11. Let n = 1 + -2. Let v(w) = 28*w**2 - w - 1. What is the remainder when v(n) is divided by f?
8
Suppose 2*b = 6*b - 236. What is the remainder when b is divided by 20*(-1 + 2 + 0)?
19
What is the remainder when ((-3)/(-1))/(2/10) is divided by 6/4*(-32)/(-6)?
7
Suppose -2*o = -43 - 189. Calculate the remainder when o is divided by 30.
26
Let k = 2 + -12. Let p(t) = -t**2 - 11*t - 1. What is the remainder when ((-1)/(-2))/(2/100) is divided by p(k)?
7
Suppose 24 = z - 9. Let y = z + -17. What is the remainder when 31 is divided by y?
15
Let m = 10 - 3. Suppose -t = -0*t + 1. Let l = 3 - t. What is the remainder when m is divided by l?
3
Let y be 88/(-20) - (-4)/10. Let h(u) = 2*u**2 + u. What is the remainder when h(y) is divided by 15?
13
What is the remainder when 52 + 10 + 1*-3 is divided by 30?
29
What is the remainder when 7 is divided by (-1 - -5)/((-4)/(-5))?
2
Suppose -2*g + 9 = n, -2*g + 0 = -5*n - 3. Suppose 0 = 4*x + 4*s + 4, n = -s - 3. Suppose x*f = 65 - 11. What is the remainder when 34 is divided by f?
16
Suppose -3 - 6 = -3*c. Suppose 0 = -0*s + c*s - 18. Suppose 12 = -2*j + s*j. Calculate the remainder when 8 is divided by j.
2
Let n = -7 - -2. Let v(x) = 2*x. Let s(d) = -3*d. Let q(f) = n*v(f) - 3*s(f). Calculate the remainder when q(-9) is divided by 5.
4
Let a = 133 + -51. What is the remainder when a is divided by 12?
10
Let w(f) be the second derivative of f**4/12 - 2*f**3/3 + 2*f**2 + 2*f. What is the remainder when 45 is divided by w(6)?
13
Let n(t) = 16*t**3 + 2*t**2 - 2*t + 1. Suppose 8 = j - 0*y + 3*y, 3*j - 2*y = 13. Calculate the remainder when n(1) is divided by j.
2
What is the remainder when 94 is divided by (-59)/(-5) + (112/35 - 3)?
10
Let w(i) = 3*i + 4. Suppose 0 = 6*m - 50 - 34. Calculate the remainder when w(7) is divided by m.
11
Let i(n) = 4*n**2 + 3*n + 2. Let x be 18*(1/(-2))/1. Let r(w) = -w + 1. Calculate the remainder when i(-3) is divided by r(x).
9
Let o = -2 - -4. Suppose o*c = -15 + 41. What is the remainder when 37 is divided by c?
11
Let f be (-40)/(1/(4/(-8))). Let j = -4 + f. What is the remainder when (-190)/(-4) + (-2)/4 is divided by j?
15
Let t = 13 + -9. Suppose 2*j - 4 = -t*x, 3*j + 0*j + 4*x - 14 = 0. What is the remainder when 18 is divided by j?
8
Suppose 0*j - j + 18 = 0. What is the remainder when 33 is divided by j?
15
Let i(j) = -10*j - 99. Calculate the remainder when 19 is divided by i(-11).
8
What is the remainder when (-1)/((-91)/215 - (-14)/35) is divided by 9?
7
Let o(j) = 3 + 2 + 2*j**3 - j**3 - 2. Let a be o(0). Suppose a*