e -2 = -5*f + r. Calculate the remainder when 7 is divided by f.
1
Suppose -3*k = -x - 27, -4*k + x - 5*x = -52. Let c = -94 + 142. Calculate the remainder when c is divided by k.
8
Let n(q) = -3*q**3 - 4*q**2 - 9*q - 25. What is the remainder when 137 is divided by n(-3)?
43
Suppose -2*t = -109 + 37. Let f(j) = -j**3 + 12*j**2 - 32*j + 58. Calculate the remainder when t is divided by f(9).
10
Suppose 5*b = a + 4*b - 12, 0 = -b. Suppose -14*g = -a*g - 20. Let h(m) = m**2 - 10*m + 10. What is the remainder when 18 is divided by h(g)?
8
Let s = 292 - 279. Calculate the remainder when 74 is divided by s.
9
Let v = -29 - -32. Let s be 3 + -3 + v + 3. Calculate the remainder when (s + -9)*35/(-3) is divided by 19.
16
Let n = 166 + -157. What is the remainder when 35 is divided by n?
8
Let d = 270 - -34. Suppose -5*x = -x - d. What is the remainder when x is divided by 26?
24
Suppose 0 = 257*o - 256*o - 7. What is the remainder when 95 is divided by o?
4
Suppose -3*o + 17 + 16 = 3*k, -o + 22 = 2*k. Suppose -3*c + 4*c = k. What is the remainder when c is divided by 4?
3
Let w(k) = 2*k - 3. Let b = 88 + -84. Suppose -v + 6 = 2*x, b*x - 3*v - 14 = -6*v. Calculate the remainder when w(4) is divided by x.
1
Let u(n) = -n**2 - 18*n + 14. Let p be u(-16). Suppose 0 = -0*f + 2*f - p. Calculate the remainder when f is divided by 6.
5
Let h = 21 + 9. What is the remainder when 209 is divided by h?
29
Let j be (-1 - -4)*((-190)/(-15) + 2). Suppose 0 = 11*h - 242 - j. What is the remainder when h is divided by 5?
1
Suppose d - 3*s = -4, 0 = -d + 4*s - 5 - 1. Suppose -d*k + 24 = k. Calculate the remainder when 2/(((-12)/93)/(-2)) is divided by k.
7
Let t(o) = -37*o + 25. Let x be t(-10). Let p = -64 + 102. Suppose p*h = 43*h - x. Calculate the remainder when h is divided by 27.
25
Let i(k) = k**3 + 3*k**2 - 11*k - 7. Let m be i(-7). Let v = m - -206. Let h = -52 + v. Calculate the remainder when h is divided by 10.
8
Let h = -5 - -32. Suppose -18 = 3*f + h. Calculate the remainder when 2 is divided by (18 + f)*4/6.
0
Suppose 2 + 12 = 2*s. Let j(i) be the third derivative of i**4/3 - 11*i**3/6 + 2*i**2. What is the remainder when j(s) is divided by 12?
9
Calculate the remainder when (-1 + (-73)/2)/((-142)/284) is divided by 22.
9
Let t = 104 + -74. Let k(r) = 36*r + 580. What is the remainder when k(-12) is divided by t?
28
Let i(r) = 16*r. Let w(o) = -126 + 0*o**2 - 3*o - 6*o + 129 - o**3 - 9*o**2. Calculate the remainder when i(2) is divided by w(-8).
10
Suppose 6 = -2*z + 16. Suppose z*h - 4*v - 219 = 0, -5*v - 4 - 1 = 0. Let x = 20 + -9. What is the remainder when h is divided by x?
10
Let c(w) = -w + 8. Let t be c(6). Let n be t*(3 - 2) + 4. Calculate the remainder when ((-6)/4)/(n/(-184)) is divided by 12.
10
Suppose 2 - 6 = d - m, d - 3*m = 0. Let n = 13 - d. Calculate the remainder when -1*(-1 + 0)*37 is divided by n.
18
Let h(m) = 461*m - 4 - 2 - 1 + 0. Let k be h(-3). What is the remainder when (-8)/28 + k/(-14) is divided by 25?
24
Suppose -3*r = -6*r + 6. Let w be (-2)/(r/81 + 0). Let g = w - -136. Calculate the remainder when g is divided by 19.
17
Suppose -214 = -2*b + 118. Suppose -i - 26 + b = 0. Suppose -i = k - 6*k. What is the remainder when k is divided by 10?
8
Let y(t) = 7*t**2 - 3*t + 7. Let f(q) = -15*q + 21. Calculate the remainder when f(-6) is divided by y(2).
24
Let u = -23 + 55. Suppose 3*j - 7*j = -368. What is the remainder when j is divided by u?
28
Let d(h) = h**2 + h. Let j be d(-2). Let z(v) = v**2 - 3*v - 17. Calculate the remainder when z(7) is divided by 7*-2*j/(-4).
4
Let r(w) = -w**3 + 18*w**2 - 58*w + 44. Calculate the remainder when 20 is divided by r(14).
4
Let t(q) = -33*q + 300. What is the remainder when 114 is divided by t(7)?
45
Suppose 32*m - 34*m = -28. What is the remainder when 124 is divided by m?
12
Suppose 0 = 6*d + 2 - 350. Let t(s) = -30*s**3 - s - 1. What is the remainder when d is divided by t(-1)?
28
Calculate the remainder when 58 is divided by 32/2 - (-14 + 13).
7
Let k = 409 + -252. Suppose -33 + 3 = -z - 2*m, -5*m + 187 = 6*z. Calculate the remainder when k is divided by z.
29
Suppose -20*o + 1163 = 23. Calculate the remainder when o is divided by 10.
7
What is the remainder when 116 is divided by (0 - (-1 + 0))/((-258)/(-2838))?
6
Let d = 37 + -41. Let l(v) = -2*v + 2. Calculate the remainder when 16 is divided by l(d).
6
Suppose -i - 17 + 4 = -4*u, -i - 8 = u. What is the remainder when 4 is divided by i/(9/(-2)) - 1?
0
Suppose 4*j - 25 = -5. Suppose -j*m - 1 + 36 = 0. Let z(c) = 3*c - 1. Calculate the remainder when 57 is divided by z(m).
17
Suppose 51*n - 48*n = 33. Calculate the remainder when n is divided by 8.
3
Suppose 0 = 2*b - 3*b + 3. Suppose 0 = -m + h - 0*h + b, -2*m + 30 = 4*h. Let d = -64 - -89. What is the remainder when d is divided by m?
4
Let x = 137 + -113. Let w be (-359)/1 + (-6)/2. What is the remainder when (-5)/20 + w/(-8) is divided by x?
21
Let a = -11 - 25. Suppose -5*w = h - 275, 9 + 1 = -2*h. Let i = w + a. What is the remainder when 58 is divided by i?
18
Let h(y) = y**3 + 4*y**2 - 15*y - 3. Calculate the remainder when h(5) is divided by 53.
41
Suppose 5*c + 5 = 15. Suppose 5*g = 2*v - 22, 5*v + c*g = -2*g + 22. Suppose 2*m = 6*m - 44. What is the remainder when m is divided by v?
5
Suppose 5*g - 3*c - 275 = 0, 4*c = -2*g + 25 + 59. Let f(l) = l**2 + 5*l + 7. What is the remainder when g is divided by f(-6)?
0
Let z = 16 - 11. Suppose z*r - 4 = r. Let k = 297 + -296. Calculate the remainder when r is divided by k.
0
Let h(m) = -3*m. Suppose -a - 4*a + 5*j = -10, -3*j = -15. What is the remainder when h(-6) is divided by a?
4
Let y = -255 - -331. What is the remainder when 80 is divided by y?
4
Let i(m) = -m**3 + 3*m**2 - m - 1. Suppose -4 = -3*p + 5. Let x be i(p). Calculate the remainder when 29 is divided by (18/x)/((-6)/8).
5
Suppose 4*g = 4*k + 556, 0*g - 3*g = -4*k - 422. What is the remainder when g is divided by 46?
42
Let i(t) = 26*t - 62. What is the remainder when i(6) is divided by 19?
18
Let g = 4 - 0. Let i = 701 - 697. What is the remainder when g is divided by i?
0
Let s = -259 + 274. Calculate the remainder when 103 is divided by s.
13
Suppose -2*z + 3*t = -4, -4*z - 11*t + 13*t = -16. What is the remainder when 4/(-20) - (-232)/10 is divided by z?
3
Let o(m) = 11 - m**3 + 12*m**2 - 20 - 4*m**2 + 14*m. Calculate the remainder when 71 is divided by o(9).
35
Suppose -4*i = w - 80, 2*w - 24 = 4*i + 112. Let q(r) = 2*r + 3. Calculate the remainder when w is divided by q(6).
12
Suppose -19 = -n - 2*b, 3*b - 59 = -3*n - b. Suppose -16 = -t - 5. What is the remainder when n is divided by t?
10
Let q(a) = -a**2 + 31*a - 104. Calculate the remainder when q(16) is divided by 10.
6
Suppose 0 = 51*f - 46*f - 95. Calculate the remainder when 29 is divided by f.
10
Let l be (4/(-6))/(22/(-165)). Suppose l = 2*y - 5. Suppose -4*i + 4*g + 20 = 0, 23 = 2*i + y*g - 8. Calculate the remainder when 15 is divided by i.
7
Suppose x - 131 = -103. What is the remainder when 167 is divided by x?
27
Suppose 308*y - 297*y - 198 = 0. Suppose 5*m = -3*j + 37 + 104, 2*m = 5*j + 44. Calculate the remainder when m is divided by y.
9
Let y be 17/17 + 5/1. Suppose y*x - 607 = 425. Calculate the remainder when x is divided by 35.
32
Let y(s) = -3*s**3 - s + 1. Let a be y(2). Let z = 9 - a. Suppose z = -0*u + u. Calculate the remainder when 66 is divided by u.
32
Let r = 2 + -2. Suppose -11*l + 3*l + 440 = 0. Suppose r = 5*v - 0*v - l. What is the remainder when 42 is divided by v?
9
Let c(t) = 14*t + 189. Calculate the remainder when c(0) is divided by 60.
9
Let n = 11 - 6. Let k(r) = 3*r - 3. Suppose 2*l = -2*a + 38, -4*l - 2*a = -7*a - 103. Calculate the remainder when l is divided by k(n).
10
Suppose 33 = -3*a + 51. Let z(p) = 4*p - 17. Calculate the remainder when 34 is divided by z(a).
6
Suppose -4*t + f + 47 = 0, 18*f + 9 = 15*f. What is the remainder when (-55)/(-3) + (-2)/6 is divided by t?
7
Let f = -45 + 50. Suppose 4*n + 216 = g + 2*g, 3*g - 219 = f*n. Calculate the remainder when g is divided by 14.
12
Let r = 238 + -225. What is the remainder when 48 is divided by r?
9
Suppose -92 = -2*v - 2*b, -38*v = -33*v - 3*b - 270. Calculate the remainder when 662 is divided by v.