is the remainder when 19 is divided by k?
8
Suppose -39*l + 83 = -38*l. Calculate the remainder when l is divided by 17.
15
Suppose 2*f = -10, 5*f = -5*c + 95 + 65. What is the remainder when 78 is divided by c?
4
Let u(b) = b**2 + 3*b - 1. Let n be u(-4). Suppose 3*x = p, n*x + 14 = 2*x + 5*p. Suppose -c + x = -10. What is the remainder when 43 is divided by c?
10
Suppose 127 - 27 = 10*m. Let d(l) = 15*l - 1. Let w be d(1). Suppose -132 = -w*c + m*c. What is the remainder when c is divided by 18?
15
Suppose -3*f = -2*f - 28. Suppose 11*a - 127 = -28. Calculate the remainder when f is divided by a.
1
Let v be ((-6)/4)/((-2)/12). Suppose -44 = -q - v. Suppose -78*d + 5796 = 65*d + 179*d. What is the remainder when q is divided by d?
17
Let w = -10 - -118. Calculate the remainder when w is divided by 10.
8
Let d = 0 + 8. Suppose -7*s + 5*s = -d. What is the remainder when (28/21)/(s/426) is divided by 36?
34
Let d(h) = 5*h + 5*h**2 - 3*h**2 - 3*h + 12 + 5. Calculate the remainder when 98 is divided by d(0).
13
Let h = -5 + -26. Let u = h + 51. What is the remainder when 56 is divided by u?
16
Let k(h) = 40*h - 15. Calculate the remainder when 46 is divided by k(1).
21
Suppose -r = -2 - 2. Suppose -5*x - 5*i = -3*x - 16, r*i = 0. What is the remainder when 21 is divided by x?
5
Suppose -5*c + 369 = 4*c. What is the remainder when c is divided by 25?
16
Suppose -7*u = -73 - 1320. Calculate the remainder when u is divided by 50.
49
Suppose 3*o = -5*b + 619, -3*o + 5*b + 479 = -120. Let g = o - 136. Calculate the remainder when g is divided by 17.
16
Suppose -2*r + 9 = -r. Calculate the remainder when (3/6 + -1)*(-5)/(-10)*-284 is divided by r.
8
Let u(h) be the second derivative of -7*h**5/20 + h**3/3 + h**2/2 - h. Calculate the remainder when ((-10)/6 - -1)/(2/(-69)) is divided by u(-1).
5
Calculate the remainder when ((-11644)/492)/(2/(-6)) is divided by 14.
1
Let m(s) = s + 20. Suppose 5*t = 0, 0 = v - 5*t + 7 - 19. What is the remainder when v is divided by m(-11)?
3
Let r be (3 - 0)*12/(-4). Let v = 2 + r. What is the remainder when 39 + 1 + 9 + v is divided by 15?
12
Let f(z) = -z**2 - 32*z - 56. What is the remainder when 13 is divided by f(-30)?
1
Let k = -7 + 12. Suppose -k*d + 39 = v, 4*d - 52 = -5*v + 122. Suppose -2*s + 2*o = -v, 5*s - 2*o - 113 = -4*o. What is the remainder when 82 is divided by s?
19
Let v = 18 + 0. Let h be ((-6)/(-18))/((-2)/6)*0. Suppose -z - 5 = -c - 36, 4*z - 3*c - 127 = h. Calculate the remainder when z is divided by v.
16
Suppose -2 = -2*q, 4*s - q + 18 = q. Calculate the remainder when 174*(s + (-26)/(-6)) is divided by 1*17 - (3 + -1).
13
Let b = -17 - -29. Calculate the remainder when b is divided by (-592)/(-74) - (4 + -1).
2
Let s(y) = y**3 - y**2 - y + 560. Let k be s(0). Suppose h = 6*h - k. Suppose 43 + h = 5*g. What is the remainder when g is divided by 11?
9
Let h(u) be the first derivative of u**2/2 + 34*u + 1. Calculate the remainder when h(9) is divided by 15.
13
Let u be (-12)/(-4) + 7/(-1). Let a be u/(-14) + 19/7. Suppose -a*s - 52 = -5*g, -10 + 1 = -g + 2*s. Calculate the remainder when g is divided by 3.
2
Let s(h) = -10*h**2 + 2*h - 4. Let k be s(3). Let o be k/(-16) - (-3)/(-2). What is the remainder when 7 is divided by 8 + ((-20)/o - -1)?
3
Let k = -144 - -66. Let a = -41 - k. Calculate the remainder when a is divided by 13.
11
Let w(i) = -i - 8*i**2 + 8 + i**3 + 4*i**2 - 4*i**2. Let z be w(8). Suppose z = 2*x - 40. Calculate the remainder when x is divided by 11.
9
Let g = 28 - 11. Suppose -u - 245 = -5*d, 11*d - 196 = 7*d - 4*u. Calculate the remainder when d is divided by g.
15
Let a(b) = -9*b + 177. Suppose 0 = 6*v - 2*v - 84. Calculate the remainder when v is divided by a(19).
3
What is the remainder when 131 is divided by (20 - 1) + 0 + 0?
17
Calculate the remainder when 131 is divided by 145*((-1 - -7) + (-1102)/190).
15
Let z(s) be the second derivative of 5*s**4/12 - 5*s**3/6 + 16*s. What is the remainder when z(4) is divided by 32?
28
Suppose -27 = -9*s + 36. Suppose j + 130 = 5*n, n = 2*j + s + 28. What is the remainder when n is divided by 10?
5
Suppose -7 = l + 1. Calculate the remainder when 625/8 - (-2 - 17/l) is divided by 16.
14
Suppose -47*n + 138 = -n. What is the remainder when 37 is divided by n?
1
What is the remainder when 83 + -4*(-6)/(-12) is divided by 28?
25
Let m(r) = -22*r - 17. Calculate the remainder when 37 is divided by m(-2).
10
Let b(g) = -g**2 + 9*g + 14. Let c be b(8). Suppose -c*o = -21*o - 38. Calculate the remainder when o is divided by 13.
12
Suppose -6 + 36 = 3*u. Let k = 2 - -8. Suppose 0 = -k*q + q + 54. Calculate the remainder when u is divided by q.
4
Suppose 73*c - 5922 = 31*c. Calculate the remainder when c is divided by 12.
9
Suppose -3*j = -4*h + 3, 5*j + 4*h + h = 30. Suppose j*b - 5*u = 120, -2*u - 174 = b - 5*b. Calculate the remainder when 177 is divided by b.
42
Suppose -29*p = -32*p + 33. Let x = 58 + p. Suppose 23 = 4*z + j - 47, 5*z + 3*j = 84. Calculate the remainder when x is divided by z.
15
Let w(k) = k**2 + 6*k + 5. Let s be w(-9). Suppose 0 = 2*g + 2*d + 96 - s, 5*d - 50 = g. Calculate the remainder when 25 is divided by 63/5 + (-14)/g.
12
Let x = -398 + 432. What is the remainder when x is divided by 30?
4
Suppose 0 = 4*m - 2*j - 8, m - 5*j = -m + 20. Let d = 48 - 48. Suppose -5*y = -m*t - 2*t + 38, d = 4*t - y - 40. What is the remainder when 26 is divided by t?
8
Suppose 0 = z - 55 - 82. What is the remainder when z is divided by 36?
29
Let u = -117 - -108. Calculate the remainder when (204/(-9))/(6/u) is divided by 18.
16
Suppose 0*f - 4*f = 8. Let z be 67 + 2 - f/(-1). Suppose 78 = 5*x - z. Calculate the remainder when x is divided by 8.
5
Suppose 89 = p - 22. Suppose -5*n = -r + 78, r - n - p = -r. Suppose 54 = 3*u - 5*d, -9*d + 5*d = -3*u + 54. What is the remainder when r is divided by u?
17
Let i = -65 - -119. Suppose j + i = 3*j. Calculate the remainder when j is divided by 4.
3
Let s(l) = l**3 + 4*l**2 - 5*l + 6. Let c be s(-5). Suppose 0 = -0*k - k - c. Let w(i) = -i + 5. Calculate the remainder when w(k) is divided by 7.
4
Suppose c + q - 5 = 2, q + 4 = 0. Suppose 408 + 65 = 11*z. What is the remainder when z is divided by c?
10
Let q = 250 + -240. Let a = -148 + 207. What is the remainder when a is divided by q?
9
Let h be 123/2*-1*2. Let f = 182 + h. Let q = 33 - 21. What is the remainder when f is divided by q?
11
Suppose -6 = -2*k + k. Suppose 2*u + 5*n + 0 + 7 = 0, 0 = 3*u - 3*n - 42. What is the remainder when u is divided by (-1 + 11)/(-4 + k)?
4
Suppose 2*k - 5*k + 5*w + 279 = 0, -k - 5*w = -113. What is the remainder when k is divided by 34?
30
Suppose 17*o + 102 - 391 = 0. Calculate the remainder when 33 is divided by o.
16
Let n(w) = w**3 - 13*w**2 + 34*w - 24. What is the remainder when 157 is divided by n(10)?
13
Let n be ((-15)/(-3)*-1)/(-1). Suppose -f - n*m + 8 = 0, 4*m - m = 5*f - 180. Calculate the remainder when f is divided by 17.
16
Suppose 0*i - 2*i + 104 = 0. Let n = 24 - 19. Suppose 50 = n*t - 40. Calculate the remainder when i is divided by t.
16
Let w(b) = 2*b**2 + 2*b. Let v(h) = 22*h**2 + 3*h - 10. Let g be v(2). Suppose -4*u - g + 248 = 0. Calculate the remainder when u is divided by w(2).
5
Suppose -3*q + 7*q - 190 = -5*k, -2*q + 32 = k. Suppose -d = 5*d - k. Calculate the remainder when 60 is divided by d.
4
Let k = 31 + -28. Suppose -5*m + 74 = -1. What is the remainder when (15/4)/(m/40) is divided by k?
1
Let s = 17 + -9. What is the remainder when 21 is divided by s?
5
Let h(o) = 167*o - 2. Calculate the remainder when h(1) is divided by 17.
12
Let q(y) = 5*y - 69. What is the remainder when 142 is divided by q(16)?
10
Let v(c) = c**2 + 14*c + 20. Let j = -44 + 31. Calculate the remainder when 32 is divided by v(j).
4
Calculate the remainder when 19 + (54/(-63))/(9/(-42)) is divided by 6.
5
Let s(a) = -12*a + 60. What is the remainder when 35 is divided by s(4)?
11
Suppose -15 = -j - 5. Suppose 0*b - j = -5*b. Suppose x - 2*s + 7 = 0, -s = -x - 4*s + 13. What is the remainder when b is divided by x?
0
Let f(u) = u + 21. What is the remainder when f(-7) is divided by (-47)/(-6) + (-10)/(-60)?
6
Let x be (15 + 3)*(-2)/4. Suppose 3*a - 4*i + 22 = 76, 0 = 4*a + 4*i - 100. What i