Let m = 113 + -51. What is the remainder when m is divided by 3?
2
Suppose 0 = h + 4*h - 15. Suppose -f = -3*q - 18, h*f - 34 = -3*q + 20. What is the remainder when 69 is divided by f?
15
Let l(p) = -113*p + 13. Let y(x) = -56*x + 6. Let a(h) = -3*l(h) + 7*y(h). What is the remainder when a(-2) is divided by 16?
13
Let z be 34/7 + -2*(-4)/56. Suppose f - 5*w - 26 = 0, z*f - w + 5*w = -15. What is the remainder when 1 is divided by f?
0
Let h(d) = -17*d - 2. Suppose -2*a = -a + 5*n - 6, -2*a - 2*n + 4 = 0. Let k be h(a). Let o = 27 + k. What is the remainder when 22 is divided by o?
6
Suppose 444 = 5*n - n. Suppose 24 = 9*f - n. What is the remainder when 58 is divided by f?
13
Suppose 3 = 5*k + 3*f - 13, -3*k + 4*f = -27. Let x(r) = -7*r - 5. What is the remainder when x(-4) is divided by k?
3
Suppose 0 = 3*d + 4*q - 46, 11*d - 14*d = -3*q - 81. Let a = 9 - 1. Calculate the remainder when d is divided by a.
6
Let f = 362 - 178. Calculate the remainder when f is divided by 31.
29
Suppose 2*i + 3*w - 36 = 0, 0 = 7*i - 2*i + 4*w - 90. Suppose -5*v + 436 = 2*t, v - 2*t = -0*t + 80. What is the remainder when v is divided by i?
14
Let p = 2568 - -564. Calculate the remainder when p is divided by 15.
12
Suppose 0*n = -4*n - 5*l + 24, 4*n + 4*l = 24. Let j(u) = 15*u**2 - n*u**2 + 3*u + u**2 + 3. What is the remainder when j(-2) is divided by 13?
11
Let v(d) = -4*d + 1. Suppose -3*m = -0*j + 2*j + 2, -16 = 4*m. Suppose j*x + 2 = -13. What is the remainder when 48 is divided by v(x)?
9
Let l(u) = -u**3 + 7*u**2 + u - 4. What is the remainder when l(6) is divided by 78/4*8/12?
12
Suppose 5*i - 15 = 15. Let g = 3 + i. Let t = -6 + g. Calculate the remainder when 8 is divided by t.
2
Let d = -16 + 20. Let k(m) = -m**3 - 5*m**2 - 6*m - 3. Let b be 2/10 - (-21)/(-5). Calculate the remainder when k(b) is divided by d.
1
Let n = 257 - 236. Calculate the remainder when 40 is divided by n.
19
Let b = 21 - 22. What is the remainder when (-254)/(-2) + 1/b is divided by 32?
30
Let x(n) be the second derivative of n**3/6 + n**2 + 4*n. Let u be x(2). Calculate the remainder when (-2 + u)/(2/8) is divided by 5.
3
Let z(u) = 2*u**2 - 15*u + 8*u + 5*u. Let p be z(2). Suppose -n = -p*n + 153. Calculate the remainder when n is divided by 18.
15
Calculate the remainder when ((3 + -2)*53)/(7/14) is divided by 18.
16
Let z = 14 + -16. Let b be (z - -2) + 3 + 0. Suppose -b*m + 36 = 4*r, r - m = 3*r - 20. Calculate the remainder when 34 is divided by r.
10
Let a(z) be the third derivative of -z**4/24 - 5*z**3/3 + 6*z**2. What is the remainder when a(-15) is divided by 2?
1
Let b(j) = -j - 8. Let x be b(-10). Suppose 0 = -3*q + 5*l, l + 6 = x*q - 1. Calculate the remainder when 37 is divided by q.
2
Suppose -v - 2*v + 15 = 0. Suppose v*p - 4*p = 3. What is the remainder when 5 is divided by p?
2
Suppose k = -0*k + 30. Let m(z) = -24*z**3 + 2*z**2 - z - 2. Calculate the remainder when (-4)/10 + 2202/k is divided by m(-1).
23
Suppose 128 = 3*b - 112. Suppose -l = 3*l - b. Let q = 23 + -16. What is the remainder when l is divided by q?
6
Let p = -33 + 37. Suppose 0 = 4*i - d - 155, -i - p*d + 0 = -60. What is the remainder when 156 is divided by i?
36
Suppose -117 = -5*h - d - 20, 2*h - 2*d - 34 = 0. Suppose -4*f - 3*i = -31, -5*f = -i - h - 15. What is the remainder when 53 is divided by f?
4
Let x = 2 - -12. Suppose 3*q - q + 92 = 4*g, g - 22 = q. What is the remainder when g is divided by x?
10
Let f = -223 - -267. What is the remainder when 347 is divided by f?
39
Calculate the remainder when (45/10 + -4)*274 is divided by 10.
7
Suppose 5*l = 48 - 8. Suppose -67 = -3*n - 1. What is the remainder when n is divided by l?
6
Let r = -523 + 1069. What is the remainder when r is divided by 9?
6
Let x(o) = 3*o**2 + 2*o - 6. Let c be ((-3)/(-15))/((-2)/(-10)). What is the remainder when (((-111)/c)/3)/(-1) is divided by x(2)?
7
Let r(o) = -14*o - 339. What is the remainder when r(-26) is divided by 6?
1
Let i(b) = -4*b**2 + 26*b - 7. Let l be i(6). Suppose 0 = 2*w + 3*v - 45 - 6, 3*w + l*v - 79 = 0. Calculate the remainder when 29 is divided by w.
11
Suppose -2*o = -11*o - 54. Calculate the remainder when 87 is divided by (-2 + o/(-9))*-33.
43
Let t(i) = 4*i - 12. Let p be t(0). Let o(h) = -9*h**2 + 4*h - 3. Let w be o(2). Let a = p - w. What is the remainder when 56 is divided by a?
18
Let b = -345 - -467. What is the remainder when 349 is divided by b?
105
Let n = -29 + 158. Let i = n + -107. Calculate the remainder when i is divided by 5.
2
Suppose -32*j = -26*j - 1242. Calculate the remainder when j is divided by 43.
35
Suppose s = -s + 100. Let d(z) = -2*z**2 - 24*z - 53. Calculate the remainder when s is divided by d(-5).
16
Suppose -a - 4*a = -140. Calculate the remainder when a is divided by (66/99)/(1/15).
8
Let z(i) = 3*i + 28. Let w be z(-1). Suppose 18 = -2*x + 2*g, 5*x - 4*g + 24 = -24. Let m = w + x. Calculate the remainder when m is divided by 5.
3
Suppose -3690*a - 765 = -3699*a. What is the remainder when a is divided by 30?
25
Let k = 7 + -3. Let h be (21 - 49)*(-123)/k. What is the remainder when h/18 - 3/(-18) is divided by 13?
9
Let l(o) = -o + 3. Let i be l(-7). Suppose i*m - 2448 = 7*m. What is the remainder when (-12)/42 + m/14 is divided by 15?
13
Suppose -8 = -2*x, -3*y + 4*x - 30 = -5*y. Suppose -4*h = -6*h + 26. What is the remainder when 18/63 + 173/y is divided by h?
12
Calculate the remainder when 41 is divided by (0 + 2)/(3*5/30).
1
Suppose 0 = -2*s + 12 - 10, 4*i = 2*s + 62. Calculate the remainder when i is divided by 10.
6
Calculate the remainder when 29 - (3/9*9 + -3) is divided by 16.
13
Let a = 164 + -116. Calculate the remainder when 572 is divided by a.
44
Let b be (42/(-7))/(6/(-4)). What is the remainder when 13 is divided by 22/6 + b/12?
1
Let w(z) be the first derivative of -z**3/3 - 2*z**2 - 4*z + 5. Let l be w(-2). Suppose -2*h + 5*h - 111 = l. Calculate the remainder when h is divided by 10.
7
Let p(l) = -l**2 + 22*l - 9. Let j = 35 - 0. What is the remainder when p(14) is divided by j?
33
Let u be ((-2)/4)/((-2)/4). Let f(p) = -18*p - 21. Let v(s) = -s - 5. Let d(b) = -f(b) + 4*v(b). What is the remainder when 28 is divided by d(u)?
13
Calculate the remainder when -13*(-9)/15*20/6 is divided by 5.
1
Let p(n) = -n + 10. Let z = -22 - -31. Calculate the remainder when p(-6) is divided by z.
7
Suppose -3*v + h + 5 = 0, 3*v - 3 = 2*h + 7. Calculate the remainder when ((-1)/2)/((-7)/182) is divided by (-1 + v/(-2))*-4.
1
Suppose -y - 3*j = 3*y - 325, j + 247 = 3*y. What is the remainder when y is divided by 12?
10
Let c = -8 + 3. Let v(d) be the third derivative of d**4/24 + 11*d**3/6 - 4*d**2 - 5*d. What is the remainder when v(c) is divided by 6?
0
Let u(l) = -23*l + 35. Let b(v) = 12*v - 18. Let p(g) = -5*b(g) - 3*u(g). Calculate the remainder when p(4) is divided by 9.
3
Suppose -5*p - o + 60 = 4*o, p - 10 = -3*o. Suppose -110 = -18*h + p*h. Calculate the remainder when 76 is divided by h.
10
Suppose 5*f + 12 = 232. Let u(c) = -2*c**2 + 6*c + 12. Calculate the remainder when f is divided by u(0).
8
Let b(d) = d**2 + 10*d - 16. Let o be b(-12). Suppose -o*l + 33 = -5*l. What is the remainder when l is divided by 6?
5
Calculate the remainder when (-2 + -405)*13/(-13) is divided by 59.
53
Let v(c) = c**3 + 11*c**2 - 13*c - 6. What is the remainder when 104 is divided by v(-12)?
2
Let g = 9 + -3. Let b be (-8)/(-5*g/(-525)). What is the remainder when 18 is divided by 2*(b/8)/(-5)?
4
Suppose -4*f - 80 = -q, 3*f = 2*q - f - 168. Suppose -b - 32 = -q. Calculate the remainder when 111 is divided by b.
55
Let q(t) = 4*t**2 + 12*t - 5*t**2 - t**2 + 34 + 3*t**2. Let y = -22 + 42. What is the remainder when q(-15) is divided by y?
19
Let y = -40 - -40. Suppose -3*i + 5*i - 56 = y. Calculate the remainder when i is divided by 8.
4
Suppose 4*w = 122 - 70. Calculate the remainder when (-78)/(-3 - -1) - 2 is divided by w.
11
Suppose -w + 4*w - 18 = 0. Suppose -2*i + w*i - 32 = 0. Let x = -3 + i. What is the remainder when x is divided by 4?
1
Suppose 17*b - 15*b + 381 = 5*q, q + 4*b = 63. Suppose t = -0*t + 26. What is the remainder when q is divided by t?
23
Let b = -218 + 277. What is the remainder when b is divided by 53?
6
Suppose -147*a + 14