l = f - -10. What is the remainder when d is divided by l?
8
Suppose 2*d - 4*u + 6 = -0*d, -5*d - 3*u = -24. What is the remainder when 4 is divided by d?
1
Let j be 13 - (-3 - 3)/(-2). Let n(c) = -c**2 + 12*c - 7. Calculate the remainder when 51 is divided by n(j).
12
Let b(a) = -11*a**3 + 2*a**2 + a. Let l be b(-1). Let i = -6 + 14. Calculate the remainder when i is divided by ((-6)/(-8))/(3/l).
2
Let c(d) be the first derivative of 7*d**2/2 - d - 2. Calculate the remainder when 49 is divided by c(2).
10
Let r = 40 - 28. Let f(v) = -2*v**3 - 4*v**2 - 3*v - 1. Let t be f(-2). Suppose -3*l = -110 + t. What is the remainder when l is divided by r?
11
Let t be (1*-2)/(1/2). Let r(j) = 2*j**2 + j - 1. Calculate the remainder when r(-2) is divided by 36/8*t/(-6).
2
Suppose a = 4*j - 91, 4*j + 3*a = a + 106. Let b = 0 - -5. Suppose b*o - 2*o = 39. Calculate the remainder when j is divided by o.
11
Let u(s) = -s**2 + s + 3. Let h be u(0). Let f = 67 + -42. What is the remainder when f is divided by (9/(-4))/(h/(-12))?
7
Suppose 68 = 7*w + 19. Calculate the remainder when 17 is divided by w.
3
Let p = 2 + -1. Let l be 3/(-6)*2*0. What is the remainder when p is divided by 2*((-2)/(-4) - l)?
0
Let g = -54 - -90. Let j = -10 - 9. Let z = j + g. What is the remainder when z is divided by 9?
8
Let f(u) = -6*u + 2. Let q be (-1 - -32) + (5 - 6). Suppose 3*j - q - 93 = 0. Calculate the remainder when j is divided by f(-2).
13
Let g(c) be the second derivative of -c**5/20 + 5*c**4/12 - c**3/6 - 3*c**2/2 - 2*c. What is the remainder when g(4) is divided by 4?
1
Let y(h) = h**2 - 5*h - 3. Let k be y(6). Suppose 0 = 4*s + 12, -2*l = k*l - s - 378. What is the remainder when l is divided by 26?
23
Let u(w) = -w - 2. Suppose i - 4*z = 17, 3*i + 2*z = -0*i - 19. Calculate the remainder when u(i) is divided by 1.
0
Suppose -3*z = -4*s - 14, -2*z - 4 = 3*s - 2. Suppose z*d + 30 = -d. What is the remainder when (-304)/d - 4/10 is divided by 16?
14
Suppose 0 = 3*w + g - 92, 4*w + 2*g - 64 = 2*w. Calculate the remainder when w is divided by 8.
6
Suppose 0 = 110*c - 105*c - 70. Calculate the remainder when 179 is divided by c.
11
Let k(w) = -5*w**3 + 3*w**2 - 1. Let s(c) = -11*c**3 + 6*c**2 - c - 3. Let l(j) = -13*k(j) + 6*s(j). Calculate the remainder when l(-4) is divided by 19.
16
What is the remainder when 190 is divided by (287/14 - -4)*1*2?
43
Let g = 245 + -48. Calculate the remainder when g is divided by 11.
10
Let v(c) = -2*c**3 + 50*c**2 - c + 51. What is the remainder when 100 is divided by v(25)?
22
Suppose -1 = -h + 1. Suppose -2*g = -3*g - 4, 3*p + g - 92 = 0. Suppose -2*k + h = -p. What is the remainder when k is divided by 9?
8
Let w = 130 - 113. Calculate the remainder when w is divided by 5.
2
Suppose -l = -0 - 4. Suppose l*h = -4, -p - 3*h = -2*h - 15. What is the remainder when 30 is divided by p?
14
Let w be (-2)/(-5) + (-22)/5. Let j(c) = -14*c - 1. Suppose -n + 5*h + 24 = 0, 3*n - 60 = 5*h - 8. Calculate the remainder when j(w) is divided by n.
13
Suppose 0*x + x - 10 = 0. Suppose -26 + x = -v. What is the remainder when 47 is divided by v?
15
Let x(w) = -26*w + 39. What is the remainder when x(-3) is divided by 32?
21
Calculate the remainder when (9 + -7)/((-2)/(-222)) is divided by 56.
54
Let r(z) = -z**3 - 4*z**2 + 2*z - 6. Let v(n) = n**3 - 3*n**2 - 2*n + 2. Let m be v(3). What is the remainder when (-101)/m + 2/(-8) is divided by r(-5)?
7
Let i(s) = -11*s**3 + s + 1. Let f be ((-4)/(-5))/((-4)/(-10)). Suppose -f*o + 2 + 6 = 0. What is the remainder when i(-1) is divided by o?
3
Suppose 2*s - 13 = -n, 3*s = 4*s + 3. Let x be -2*3*-1*1. Let q = x + 1. What is the remainder when n is divided by q?
5
Calculate the remainder when 47*-1*-1 + -1 is divided by 36/3*((1 - -5) + -5).
10
Suppose 4*n = c + 3, c + 5*n = -c + 46. Calculate the remainder when c is divided by 7.
6
Suppose 2*z - 20 = -4*v, 0 = 4*v - 5*z - 9 - 39. What is the remainder when v is divided by 5?
2
Let i be (-3)/1 + -5 + 29. Suppose 5*r = 2*d - 10 - 23, -4*d - 5*r = -i. Let k = 0 - -17. Calculate the remainder when k is divided by d.
8
What is the remainder when 19 is divided by 22/99 - (-97)/9?
8
Suppose 0 = -2*c - 5*b + 10, -4 + 24 = 4*c - 5*b. Calculate the remainder when 12 is divided by c.
2
Let l(c) = c**3 + 6*c**2 - c - 4. Let n(z) = -z**2 - 6*z + 5. Suppose 2*v = 1 - 13. What is the remainder when n(v) is divided by l(-6)?
1
Let u(m) = -m**3 + 9*m**2 - 11*m - 1. What is the remainder when u(6) is divided by 21?
20
Let z = 151 + -67. Calculate the remainder when z is divided by (-3)/6 + (-59)/(-2).
26
Suppose -2*b - 21 = -r - 3, 2*b = -5*r + 90. Calculate the remainder when 67 is divided by r.
13
Let p be (-1)/3 + (-344)/(-6). Calculate the remainder when (p/(-12))/(2/(-8)) is divided by 7.
5
Suppose 0 = 4*k - 3*g - 10, 3*g + 0 = 6. Suppose -18 = -k*w + w. Calculate the remainder when 11 is divided by w.
5
Let d(j) = 2*j**3 - 7*j**2 + 3*j - 3. Let h(l) = -5*l**3 + 20*l**2 - 9*l + 9. Let r(b) = -8*d(b) - 3*h(b). What is the remainder when r(-5) is divided by 2?
1
What is the remainder when (-169)/(-7) + 3/(-21) is divided by 13?
11
Suppose g - 5 = 4. Suppose 2*c - 57 - g = 0. What is the remainder when c is divided by 18?
15
Suppose 3*m + j - 1 - 1 = 0, -4*j - 2 = 2*m. Let l(a) = 6*a - m + 3*a - 5*a. Calculate the remainder when 3 is divided by l(1).
0
Let a = -26 + 127. What is the remainder when a is divided by 15?
11
Let g(i) = i**3 + 12*i**2 - 4*i - 3. Calculate the remainder when 131 is divided by g(-12).
41
Suppose 0 = 3*m - 128 - 61. What is the remainder when m is divided by 34?
29
Suppose 8 = -5*n + 4*a - 65, n = 3*a - 8. Let f be (-2)/7 + 1165/35. Let j = f + n. Calculate the remainder when j is divided by 9.
7
Suppose 3*f - 46 = 32. Let y = 23 + -14. Suppose 0*o = -o + y. What is the remainder when f is divided by o?
8
Suppose -2*u - 1 = 1. Let v(n) = -n**3 - 4*n**2 - 3*n. Let w be v(-2). What is the remainder when 26 is divided by 16 + w - 0/u?
12
Let p = 4 - 1. Suppose d + 4 = -k - 9, 39 = -p*d + 4*k. Let l = 1 - d. Calculate the remainder when l is divided by 5.
4
Suppose 4*g + 3*j = 8*j + 111, j + 86 = 3*g. Calculate the remainder when g is divided by 8.
5
Suppose -3*f + 9 = -3*u, 5*f + 3*u - 2*u = 9. Calculate the remainder when (-588)/(-20) - f/5 is divided by 8.
5
Suppose 5*m + 3*z = -0*z + 48, 3*m + z - 32 = 0. What is the remainder when m is divided by 5 + 2/(2/2)?
5
Let j = 0 - -1. Calculate the remainder when -2*((-63)/(-6))/(-7) is divided by j.
0
Let a(l) = -l + 42. Calculate the remainder when 249*(-1 - 12/(-9)) is divided by a(14).
27
Let c = 20 + -4. Let r be 4/14 + c/(-7). Calculate the remainder when 20 is divided by (r/(-2))/(2/14).
6
Suppose -2*c + 96 = c. Suppose -5*k + 50 + 5 = 0. What is the remainder when c is divided by k?
10
Let u(x) = -x**3 + 4*x**2 + 3. Calculate the remainder when 70 is divided by u(3).
10
Let q = -21 - -32. Calculate the remainder when q is divided by 7.
4
Suppose 2*o - p = -2*p + 15, 4*o - 55 = 3*p. Suppose i - o = -i. Suppose -2*b = -0*w - 4*w - 4, -i*b = 4*w - 66. What is the remainder when 27 is divided by b?
7
What is the remainder when 82 is divided by 6/((-2)/4 + 1)?
10
Let j(q) = -2*q**3 - 7*q**2 - 4*q + 3. Let f be j(-4). Let c = f + -22. Let u = 41 + -17. What is the remainder when u is divided by c?
11
Let w = -60 + 67. Let b(h) = -h**3 - 7*h**2 - 5*h - 1. Calculate the remainder when b(-7) is divided by w.
6
Let a be (3/(-9))/(1/(-3)). Let l(d) = 18*d**3 + 2*d**2 - d. Calculate the remainder when 37 is divided by l(a).
18
Suppose -141 = 3*i - 4*i. What is the remainder when i is divided by 11?
9
Let l = 11 - 6. Suppose 3*i = -5*r + 61, l*r + 0*i - 58 = -4*i. Suppose 4*m + 40 = 5*m. What is the remainder when m is divided by r?
12
Let b(y) be the second derivative of y**5/20 - y**4/6 - y**3/6 + y**2/2 - 2*y. Let t = 4 - 1. Calculate the remainder when 12 is divided by b(t).
5
Let i(m) = -m**3 - 7*m**2 + 2. Let g be i(-7). Suppose -g*r - 2 = -j, j + 2 = 5*r - 2. Calculate the remainder when 9 is divided by j.
3
Suppose 0 = 4*t - 5*p - 37, 2*t = -t + p + 36. Calculate the remainder when 22 is divided by t.
9
Let z = -38 + 93. Calculate the remainder when z is divided by 30.
25
Suppose -3*q + 57 = 3*p - 