3*n - 27 = 15. Let m = w + n. Calculate the remainder when 46 is divided by m.
14
Suppose -12*g = -6*g - 438. What is the remainder when g is divided by 29?
15
Suppose -25*r + 30 = -22*r. Suppose 0 = 3*w - 0*w - 15. Suppose 3*j + 6 = 3*u + 69, -3*u = w*j - 81. Calculate the remainder when j is divided by r.
8
Let i be (-45)/6 - (-4)/8. Let t(h) = -h**3 - 8*h**2 - 11*h - 10. Let a = 25 - 15. What is the remainder when t(i) is divided by a?
8
Let z = 286 - 245. Suppose y - 4*y = -3*j + 63, -3*j = 3*y - 69. Calculate the remainder when z is divided by j.
19
Suppose -w + 1 - 69 = -3*d, -w - 89 = -4*d. Let c(g) = -15*g - 140. What is the remainder when c(-19) is divided by d?
19
Let t(n) = n**2 + 47*n - 165. What is the remainder when 466 is divided by t(-51)?
37
Let p = -348 + 365. Calculate the remainder when 184 is divided by p.
14
Suppose c - 4*a - 58 + 22 = 0, 3*a = -2*c + 94. Suppose 5*x = 3*x + 142. Let t = x - c. What is the remainder when t is divided by 7?
6
Suppose -60 = 18*x - 30*x. Let r(v) be the first derivative of -v**3/3 - 5*v**2 + 2*v + 2. What is the remainder when x is divided by r(-10)?
1
Suppose 26 = 2*q + 2*j, 21*j = 6*q + 20*j - 113. What is the remainder when 34 + 2 + 1/(-1) is divided by q?
17
Suppose -q + 270 = 2*q. Suppose -47*y - 73*y = 5*y - 5750. What is the remainder when q is divided by y?
44
Let o(y) = 2*y**2 - 14*y + 19. Suppose 0 = -8*g + 4*g - 80. Let k = 28 + g. Calculate the remainder when o(k) is divided by 9.
8
Let k(c) = c + 22. Let w be k(-22). Suppose w = o + 6*o - 70. Calculate the remainder when 39 is divided by o.
9
Suppose 5*k = -a + 32, -5*k = -0*a + 4*a - 53. Let t(l) = l**2 + l - 3. What is the remainder when t(6) is divided by a?
4
Suppose -3*o = 85*c - 83*c - 1963, -c + 2 = 0. Calculate the remainder when o is divided by 41.
38
What is the remainder when ((-2880)/22)/(-6) + 4/22 is divided by 15?
7
Suppose 0*h - 14 = 3*d + 5*h, -3*d = 4*h + 10. Suppose 2*b - 4 - 50 = -r, -d*b + 42 = -2*r. Calculate the remainder when 97 is divided by b.
22
Let s be -4*(0 + 21/6). Let g be ((-12)/s)/(6/28). Suppose g*k + i - 4*i = 80, -4*i = -3*k + 53. Calculate the remainder when k is divided by 13.
10
Let a = -811 + 837. Let h = 180 + -106. Calculate the remainder when h is divided by a.
22
Let d be 1 - (-1)/(-3)*-3. Suppose 5*k = 5*j - 85, 0*j + 3*j = -d*k + 41. What is the remainder when 58 is divided by j?
13
Suppose -2*z - 5*h = -0*z - 21, -5*z + 3*h + 6 = 0. Suppose -c + 3*u + 15 = -3, z*u - 63 = -2*c. Calculate the remainder when 104 is divided by c.
23
Let f(r) = 6*r**3 - 21*r**2 + 8*r - 7. Calculate the remainder when f(4) is divided by 8.
1
Let t = -189 + 246. What is the remainder when t is divided by 26?
5
Let c = 1244 + -1239. Calculate the remainder when 91 is divided by c.
1
Suppose 1 = -3*n - 8, 2*d + 3*n = 17. Suppose 0 = 5*r - 2*o + 1 + d, 5*o = -r + 8. Calculate the remainder when 6 is divided by ((-4)/2)/(1/r).
2
Suppose -4*s - 72 = -3*s. Let d be s/(-27) - (-2)/6. Let z = 10 + d. What is the remainder when 24 is divided by z?
11
Let q = -85 - -83. Calculate the remainder when 46 is divided by (-16 - (4 + q))*4/(-3).
22
Let k = 221 - 184. Calculate the remainder when k is divided by 22.
15
Let v be 4/(-10) + (-1704)/(-60). Suppose z - v = -0*z. Suppose 0*x + 162 = 3*x. Calculate the remainder when x is divided by z.
26
Let w = -939 - -1148. What is the remainder when w is divided by 53?
50
Let w(u) = -11*u - 15. Let p be (4 + -2)/(-1) - -6. Suppose i = 1 + p. What is the remainder when w(-2) is divided by i?
2
Let q be (-1)/((-5)/5)*209. Let i = -116 + q. Calculate the remainder when i is divided by (-71)/(-3) - 2/(-6).
21
Suppose 34*h - 2 = d + 39*h, -4*h - 19 = -5*d. What is the remainder when 22 is divided by d?
1
Let a be (12/20)/((-9)/(-1035)). Suppose 5*i = 0, -5*i + 15 = -4*y - 169. Let v = y + a. What is the remainder when v is divided by 6?
5
Let t(a) = 18*a**2 - 2*a - 1. Suppose 2*f + 3*r - 44 = -r, 5*f - 180 = 4*r. What is the remainder when f is divided by t(-1)?
13
Let b = -37 + 22. Calculate the remainder when 28 is divided by (2 - 1)/((-110)/b + -7).
1
What is the remainder when 23 is divided by ((-4)/(-2))/((-250)/30 + 9)?
2
Let v = 165 - 141. Suppose -3*t = -u - 285, 4*t - 476 = -t + 2*u. What is the remainder when t is divided by v?
22
Let w(j) = -38*j - 32. Let n(q) = 13*q + 11. Let s(i) = 17*n(i) + 6*w(i). Calculate the remainder when s(-4) is divided by 3/(45/(-10))*(-120)/16.
3
Let w = -245 - -362. Calculate the remainder when w is divided by 34.
15
What is the remainder when 0 - (0 + 3) - (-199 - -59) is divided by 7?
4
Let j(i) = 3*i**3 - 20*i**2 + 29*i + 2. Let z(p) = 2*p**3 - 10*p**2 + 15*p + 1. Let s(d) = -3*j(d) + 5*z(d). What is the remainder when 26 is divided by s(-11)?
6
Let v(r) = 74*r**2 + r + 1. Suppose 0 = t - 2*t - 1. Calculate the remainder when v(t) is divided by 19.
17
Suppose w + w = 10. Suppose 0 = w*q - q - 44. Let l = 58 - 26. What is the remainder when l is divided by q?
10
Let p be (-24)/(-14) + 10/35. Suppose -c = g - 13 - 2, 0 = -p*c + 2. Let l(u) = -u**2 + 16*u - 26. What is the remainder when 3 is divided by l(g)?
1
Suppose 0 = -2*d + 3 + 7. What is the remainder when 20 + ((-14)/(-7) - -1) is divided by 2*1/2 + d?
5
Suppose -g = -6*g + 20. Suppose -g*f = 3*o - 41, -5*o - 16 = 3*f - 66. Calculate the remainder when 27 is divided by o.
6
Let m(i) = i**2 - 3*i - 3. Let q be m(-3). Suppose 6*b = 3*b - 837. What is the remainder when 34 is divided by 6/q + b/(-15)?
15
Suppose 6 = 5*o - 2*o. Suppose 0 = -o*d - l + 24, 2*l = 4*d + l - 54. Calculate the remainder when 24 is divided by d.
11
Suppose 3*p - 3*i = 42, -p + 28 = 2*p + 4*i. Let h = 32 + -40. Calculate the remainder when 129/6 - (2 - (-20)/h) is divided by p.
10
Let i = 244 + -232. Calculate the remainder when 106 is divided by i.
10
Suppose -114 = y + 3*y - 2*h, -30 = y - h. Calculate the remainder when 102 is divided by (y/2)/((-1)/2).
21
Suppose 0 = 16*u - 12*u + 4. Let s(t) = t + 8. What is the remainder when 25 is divided by s(u)?
4
Let r(j) = 4*j + 18. Let a be r(-7). Let y(o) = -o**2 - 11*o + 5. What is the remainder when 73 is divided by y(a)?
13
Let i(b) = 8*b + 15. Let d be 49/6 - (-8)/(-48). Let j = -4 - -31. Calculate the remainder when i(d) is divided by j.
25
Let o = -46 + 16. Let s = -26 - o. Suppose -3*x + 129 = 4*v, s*v = -x - 4*x + 215. What is the remainder when x is divided by 15?
13
Suppose -4*m = -0*m - 52. Suppose 16*g = m*g + 117. Calculate the remainder when g is divided by 20.
19
Let f(y) be the third derivative of 7*y**5/20 - y**4/24 + 23*y**2. What is the remainder when 35 is divided by f(1)?
15
Suppose w + n - 37 = 0, 0 = 10*w - 12*w + 2*n + 78. Calculate the remainder when 303 is divided by w.
37
Let n(p) = 135*p - 800. What is the remainder when 0 + 2 + (51 - -4) is divided by n(6)?
7
Suppose 9*n - 5*n - 1416 = 0. Let z = 695 + -675. Calculate the remainder when (n/(-9))/((-4)/6) is divided by z.
19
Let i = -21 + 54. Let d = 47 - i. What is the remainder when d is divided by 8?
6
Suppose 0 = 4*s - 2*z + 12 - 68, 5*z = -s + 36. Calculate the remainder when 95 is divided by s.
15
Let x = 56 - 50. Calculate the remainder when x is divided by 3.
0
Let n(w) = -w**3 - 21*w**2 - 38*w. Let d be n(-19). Calculate the remainder when 606/10 + (-4)/(-10) is divided by (-8 + 5)/((d + -1)/7).
19
Let k = 97 - -201. What is the remainder when k is divided by 7?
4
Let d = -5 - -16. Let j(f) = -f**3 + 7*f**2 - 5*f - 5. Let i be j(4). Suppose -40 = i*z - 1006. What is the remainder when z is divided by d?
9
Let z be (-1 - -1)*(-12)/24. Let x be (22/(-8) + z)*4. Let h = 18 + x. Calculate the remainder when h is divided by 2.
1
Calculate the remainder when (-7)/((-35)/(-670))*(-1)/2 is divided by 23.
21
Suppose 0 = 3*v + 6, -c + 2*v + 11 = v. Let l(x) = -5*x + c - 9 + 4*x. What is the remainder when 19 is divided by l(-10)?
9
Let l = 5 + -8. Let i(j) = j**2 + 1. Suppose 2*p = d + 35, -3*d = p + p - 31. What is the remainder when p is divided by i(l)?
7
Let o(p) = p**2 + 7*p + 4. Suppose d - 1 = -0*z - 3*z, 27 = 3*d + 3*z. Calculate the remainder when d is divided by o(-7).
1
Suppose 0 = -3*h - 4*s - 20, 5*s = 3*h - 25. Suppose 4*g + 175 = 3*q, -3*q - 3*g + h*g = -147. Calculat