by 6/r - (-212)/20.
9
Let k(f) = -20*f + 25. Calculate the remainder when k(-7) is divided by 56.
53
Suppose 18 - 66 = -3*j. What is the remainder when 29 is divided by j?
13
Let j(y) = -y**3 + 6*y**2 + 7*y + 1. Suppose 10 - 45 = -5*i. What is the remainder when 2 is divided by j(i)?
0
Suppose 2*x - 8 = -0*x. Suppose -2*a + 4*d + 5 = -a, -4*d = 2*a - 10. Suppose 30 = 5*z + a*o, 3 - 23 = -3*z - o. What is the remainder when z is divided by x?
3
Suppose t - 1 = 4. Suppose 2*h - 6 = 2*m, 3*m - 2 = -5*h + t. Calculate the remainder when 18 is divided by (-8)/6*(-15)/h.
8
Calculate the remainder when 40 is divided by 34/(-85)*-5*(6 + 2).
8
Let d(r) = 3*r**3 - 2*r**2 + 3*r + 2. Let m(u) = -2*u + 1. Let a be m(-1). Calculate the remainder when d(3) is divided by (3/a - 2) + 26.
24
Let x(s) = 2*s**2 + 2. What is the remainder when x(4) is divided by 9?
7
Suppose -2*c + 3*c = 11. Let n = -50 + 92. What is the remainder when n is divided by c?
9
Let a be (24 - -2)*(-1)/2. Let v = -3 - -7. Let q = v - a. Calculate the remainder when 49 is divided by q.
15
Suppose -5*b = 3*z - 91, -5*z + 55 + 30 = -5*b. Let f = 0 - -2. Suppose -f*l + z + 16 = 4*g, 2*l + 34 = 2*g. Calculate the remainder when 35 is divided by g.
11
Let r(u) = u + 6. Suppose -2*h = 8, -10 = 2*k - k + 3*h. Suppose 4*p - 2*x + 24 = 0, -k*p - 1 = 2*x + 5. Calculate the remainder when r(p) is divided by 1.
0
Let n(h) be the second derivative of -h**5/20 - h**4/2 - h**3/3 - 3*h**2 + 3*h. What is the remainder when 17 is divided by n(-6)?
5
Let p = 86 - 41. What is the remainder when p is divided by 16?
13
Suppose -30 + 80 = 5*k. Calculate the remainder when 69 is divided by k.
9
Suppose h = -y + 17, -3*h + 5*y + 23 = 4. Suppose -7*x + 87 = -88. Calculate the remainder when x is divided by h.
12
Let f = -12 - -15. Suppose -f*t = 3*v - 51, 0 = 3*v - 0*v - t - 63. What is the remainder when 77 is divided by v?
17
Let j be (-3)/(-9)*0 - -28. Suppose j = 3*p - 4*o + 2*o, -p = -5*o - 5. What is the remainder when 29 is divided by p?
9
Let l = 69 - 36. Calculate the remainder when l is divided by 9.
6
Suppose 4*t = h + 2*h + 235, -2*h - 3*t - 134 = 0. Let d = 131 + h. Suppose g - 13 = 7. What is the remainder when d is divided by g?
18
Let h(x) = x. Suppose 2*v - 2 = 2. Calculate the remainder when h(5) is divided by v.
1
Suppose 15 = 3*g - 3*x, -12*x = -3*g - 11*x + 23. Calculate the remainder when g is divided by 6.
3
Suppose 0 = -5*b + 144 + 266. What is the remainder when b is divided by 23?
13
Suppose 0 = -g - 5*s + 53, -4*g + 0*s + 4*s + 236 = 0. What is the remainder when g is divided by 30?
28
Let s = -9 - -28. Calculate the remainder when s is divided by 5.
4
Let w = 12 + -10. Suppose w*r = 17 + 15. What is the remainder when 29 is divided by r?
13
Suppose -53 = -7*z + 52. Calculate the remainder when 21 is divided by z.
6
Let o = 12 + 0. What is the remainder when (-93 - 1)*3/(-6) is divided by o?
11
Let o(s) = -s**2 - 8*s + 5. Let c be o(-8). Suppose -k + 3*j = 2*k - 24, 0 = c*k + 2*j - 5. What is the remainder when k is divided by 1?
0
Suppose 2*v - 15 - 28 = 3*f, 3*v = 3*f + 57. Suppose -4*y + 13 + 3 = 4*d, 2*d - v = -5*y. Calculate the remainder when d is divided by 2.
0
Let u(s) = -s**3 - 5*s**2 - 4*s - 7. Suppose -4*w = w - 40. Calculate the remainder when u(-5) is divided by w.
5
What is the remainder when 2*(-5)/(20/(-134)) is divided by 10?
7
Let w = -1 - -1. Let l(d) = 4*d**2 - 2*d + 1. Let u be l(1). Suppose -u*o + 3 + 36 = w. Calculate the remainder when o is divided by 8.
5
Let j be (-4)/(-6) + (-956)/3. Let g be j/(-9) + 1/(-3). Suppose 0 = 3*z + x - g, -2*x = -2*z + 5 + 5. Calculate the remainder when 19 is divided by z.
9
Suppose -5*m - 15 = -z, z = -m - 9 - 0. Let r(b) = 6*b + 2. What is the remainder when (1/((-1)/m))/1 is divided by r(0)?
0
What is the remainder when 26/(-10)*(-5 + 0) is divided by 7?
6
Let l = -53 + 72. What is the remainder when 37 is divided by l?
18
Let f(t) = 1 + 71 - t - 10 + t**2. What is the remainder when f(0) is divided by 16?
14
Suppose i - 2*x - 13 = 0, -x + 65 = 5*i - 5*x. Suppose 2*w = -3*o + 75, -w + 2*o - o + 35 = 0. What is the remainder when w is divided by i?
10
What is the remainder when 162 is divided by 322/6 + 8*(-1)/(-6)?
52
Suppose 6*i = 3*i - 9, 0 = -3*u - 4*i - 6. Suppose -u*h = h. Suppose -s + 2 + 3 = h. What is the remainder when s is divided by 4?
1
Suppose 5*b - p - 30 = 3*b, -2*b + 5*p = -14. What is the remainder when 48 is divided by b?
14
Let u = -19 + 28. What is the remainder when 17 + (0/(-2))/(-1) is divided by u?
8
Suppose 5*p = 1 + 14. Suppose -t + 0 = -p. Suppose -t*d - 21 = -4*d. What is the remainder when d is divided by 11?
10
Let x = -198 - -365. Calculate the remainder when x is divided by 7.
6
Let d = 157 + -86. Suppose m + d = 5*x + 4, 12 = 4*m. What is the remainder when 39 is divided by x?
11
Suppose 0 = 4*l - l - 51. What is the remainder when l is divided by 6?
5
Let z be (-154)/(-6) + 8/(-12). Let v = z - 4. Calculate the remainder when v is divided by 11.
10
Let v(r) be the first derivative of -7*r**2/2 + 3*r - 2. Let d(c) = -2*c**3 - c**2 - 1. Calculate the remainder when v(-4) is divided by d(-2).
9
Let r(w) = 3*w**2 - 7. Let m be r(4). Let t = m - -26. Calculate the remainder when t is divided by 17.
16
Suppose 2*n = -4*v + 198, 3*n - 3*v - 32 = 238. What is the remainder when n is divided by 12?
9
What is the remainder when 79 is divided by (0 + 1)*((-7 - -1) + 33)?
25
Let i(o) = -o**2 + 4*o - 5. Let x be i(5). Let n = x + 31. What is the remainder when n is divided by 8?
5
Let z(n) = 13*n + 1. Let w be z(3). Suppose -11*v + 6*v = -w. What is the remainder when 33 is divided by (-7 + v)*(16 - -1)?
16
What is the remainder when 1*((2 + -4)/(-1) + 11) is divided by 10?
3
Suppose -4 = 4*y, -3*a + 3*y = 2*y - 25. What is the remainder when 29 is divided by a?
5
Suppose -8*p - 13 = -9*p. Suppose y = -3, 50 + 22 = 3*x + y. What is the remainder when x is divided by p?
12
Suppose 3*b + 2*b - 130 = 0. What is the remainder when b is divided by 14?
12
Suppose -4*a - 158 + 564 = 5*z, -5*z = -3*a - 378. Suppose z - 31 = v. What is the remainder when v is divided by 12?
11
Suppose 0*y = -y + 13. Calculate the remainder when (2/(-4))/(3/(-222)) is divided by y.
11
Suppose 4*m - 35 = g, 2*m = -5*g + g + 40. What is the remainder when 59 is divided by m?
9
Suppose 0 = 5*f - 162 - 18. What is the remainder when f is divided by 13?
10
Suppose 0*v = -5*v + 35. What is the remainder when (-66)/(-3)*(1 - -1) is divided by 163/v + (-8)/28?
21
Let o(w) = -w**3 + 7*w**2 - 5*w - 3. Let r be o(6). Suppose 4 = -y + r*y. Calculate the remainder when 2 - -2*3/6 is divided by y.
1
Let y be 2/(-3) + (-156)/(-18). Suppose -y*v = -3*v - 150. Calculate the remainder when v is divided by 11.
8
Let o(p) = p**2 - p - 2. Calculate the remainder when 31 is divided by o(5).
13
Suppose 66 = 2*d + 4*s, 5*d - 207 = s - 64. Let i = -6 + 12. Let o(c) = -c**3 + 5*c**2 + 8*c - 2. Calculate the remainder when d is divided by o(i).
9
Suppose 5*l - 12 = 13. Suppose 10*m - 45 = -5*q + 5*m, m - 41 = -5*q. What is the remainder when q is divided by l?
3
Let d(j) = j**3 - j**2 - 2*j - 3. Calculate the remainder when d(3) is divided by 6.
3
What is the remainder when (1/3)/((-885)/(-882) + -1) is divided by 17?
13
Let q(n) = -6*n - 18. Calculate the remainder when 67 is divided by q(-7).
19
Let y be (-12)/30 + (-17)/(-5). Suppose y*t = -0*t + 54. What is the remainder when 70 is divided by t?
16
Let h = 49 + 26. Calculate the remainder when h is divided by 19.
18
Suppose 4*t - 2*t = 2. Let w = -18 - -22. Calculate the remainder when -2*w/(-4)*1 is divided by t.
0
Suppose 4*b = 3*f + 117, 3*b - 1 = -2*f + 74. Calculate the remainder when b is divided by (-2 - -1)/((-3)/21).
6
Suppose -d = -c + 41, -5*c - d = d - 219. What is the remainder when 84 is divided by c?
41
Let r = 85 + -41. What is the remainder when r is divided by 9?
8
Let i(r) be the second derivative of r**4/6 + r**3/6 - 2*r**2 + r. Calculate the remainder when 32 is divided by i(3).
15
Let t = 11 + -5. What is the remainder when 10 is divided by t?
4
Let c(q) = q**3 + q**2 - q + 4. Let z be c(0). Suppose 0*o = 2*o - z. What is the remainder when o is divided by 1?
0
Suppose -294 - 42