remainder when n is divided by 146.
140
Suppose 14*k - 31 = 9*k - 2*x, 3*k = 3*x + 6. Calculate the remainder when 5 is divided by k.
0
Suppose 3*o + r = 6*r + 254, -4*o - r = -377. Calculate the remainder when o is divided by (-2)/(-6) + 1680/90.
17
Let w(o) = o**3 - 6*o**2 + 6*o + 10. Let s = -85 + 91. What is the remainder when w(s) is divided by 12?
10
Let o(r) = 10*r - 10. Let f be o(9). Let l = f - 68. Calculate the remainder when 22 is divided by l.
10
What is the remainder when (6*3/(-12))/(17/(-578)) is divided by 15?
6
Let r be (3 + -1)/((-2)/(-20)). Suppose r = -0*u + 5*u. Let g(c) = c**3 - 10*c**2 + 10*c + 2. Calculate the remainder when g(9) is divided by u.
3
Let r(h) = -h**3 + 5*h**2 + 4. Let b be r(4). Suppose -132 = -7*k - b. Calculate the remainder when 61 is divided by k.
13
Calculate the remainder when 13*38/(-6)*-3 is divided by 81.
4
Let k(n) = 19*n. Let y be (5 + -2)/(-3) - 5. Let s = 5 - y. What is the remainder when k(1) is divided by s?
8
Let i(u) = u**3 - 10*u**2 + 4*u - 3. Let a be (45/20)/(1/(-4)). Let v be 1 + a/(-1) - 0. Calculate the remainder when i(v) is divided by 20.
17
Let s(n) = n**2 - 26*n - 53. Let q be s(28). Suppose f + q*b + 19 = 2*f, -2*b = 4*f - 34. Suppose r + 37 = 2*r. Calculate the remainder when r is divided by f.
7
Suppose 3*p = 4*h - 24, 3*p = p + 8. Suppose 0 = -4*j + h*j - 1090. Suppose 8*u - 174 = j. Calculate the remainder when u is divided by 26.
23
Let s = -657 - -677. Calculate the remainder when 818 is divided by s.
18
Let z(x) be the first derivative of x**3/3 + x**2 + 2*x - 2. Suppose 3*u + 10 = -14. What is the remainder when z(u) is divided by 13?
11
Suppose -s - k = -7, -2*s - k = -3*s - 1. Suppose 4*b = s*f - 54 - 2, -4*b = 4*f - 28. Suppose -3*g + 28 = 13. What is the remainder when f is divided by g?
2
Let f(u) = -4*u + 26. Suppose -16 - 29 = -5*x. Let c(w) = w**2 - 6*w - 12. What is the remainder when f(-8) is divided by c(x)?
13
Let s = -40 + 72. Suppose -29*d + 33*d + 3*m - 246 = 0, -6 = -3*m. Calculate the remainder when d is divided by s.
28
Let i be 2 + (3 - 0) - -2. Suppose -i*q + 2*q = -25. Suppose q*m = 5*z + 320, -m + 4*z - 280 = -5*m. Calculate the remainder when m is divided by 14.
11
Suppose 3*d = -2*x + 49, -x + 4*x + 5*d = 72. What is the remainder when x is divided by 11?
7
What is the remainder when (4 + 1)*(2808/30 + -2) is divided by 32?
10
Let w = -583 - -962. Calculate the remainder when w is divided by 23.
11
Let w = -6 + 9. Suppose 32 = -w*m + 11*m. Calculate the remainder when 5 is divided by m.
1
Suppose -23 = -2*k - 3. Suppose -2*h = -h - 29. What is the remainder when h is divided by k?
9
Let g = 580 - 499. Calculate the remainder when g is divided by 22.
15
Suppose -2*a + 53 = -3. What is the remainder when a is divided by 11?
6
Let c(g) = 2*g**2 + 13*g - 32. Calculate the remainder when c(5) is divided by 9.
2
Let b be (56/(-6))/(-2)*-3. Let a(d) = -2*d - 16. Let w(q) = -3*q - 4. What is the remainder when w(-12) is divided by a(b)?
8
Suppose 4*r = 2*r + 60. Let c be 1/(-3) - (-100)/r. Suppose -u + 38 = 2*a - 48, -u - 134 = -c*a. What is the remainder when a is divided by 12?
8
Let a be (1 + (3 - 5))*-1. Suppose -31 + 15 = -4*l. Calculate the remainder when l is divided by a/(-1) - (-5 - -2).
0
Suppose -z - 36 + 39 = 0, -5*z = -3*f - 3. Let s(g) = g**3 + 11*g**2 + 8*g - 7. What is the remainder when s(-10) is divided by f?
1
Calculate the remainder when 273 is divided by ((-92)/(-6))/((-14)/(-63)).
66
Let z = 78 - 59. Let h = -23 + 16. Calculate the remainder when ((-21)/(-6))/h*-150 is divided by z.
18
Suppose -z - z + 2*u = -106, z + 5*u - 65 = 0. What is the remainder when 117 is divided by z?
7
Let p(r) = 8*r + 55. Calculate the remainder when p(-5) is divided by 9.
6
Let m = -744 - -751. What is the remainder when 50 is divided by m?
1
Suppose 5 = -5*j + 5*x, -14 = -9*j + 8*j - 4*x. Calculate the remainder when 77 is divided by j.
1
Let s(n) = -6*n + 3. Suppose 5*f - 3*w = -26, 3*w + 2*w - 2 = -2*f. Let c be s(f). Calculate the remainder when c/36 - (-138)/8 is divided by 7.
4
Let y(o) be the first derivative of -o**3/2 + o**2 - 6*o - 1. Let f(b) be the first derivative of y(b). Calculate the remainder when 43 is divided by f(-7).
20
Suppose 24*h + 19*h - 1419 = 0. Calculate the remainder when 89 is divided by h.
23
Suppose 7 = -2*a + 31. Calculate the remainder when 53 is divided by (4/a)/(2/174).
24
Calculate the remainder when 1*141 - (77/(-7) + 13) is divided by 14.
13
Calculate the remainder when 2050 is divided by 7 - 60/12*321/(-15).
112
Let b be (-1)/2 - (-147)/(-2). Let f = b - -96. Calculate the remainder when 37 is divided by f.
15
Let n be 1/(7/(-7)*(2 + -3)). Suppose 11 = 2*q + n. What is the remainder when 17 is divided by q?
2
Let i(z) = 15*z**2 + 3*z - 2. Calculate the remainder when (-1 + 2/6)/((-22)/1947) is divided by i(1).
11
Let p(u) = -u + 1. Let a(n) = -9*n - 4. Let t(z) = -a(z) + 6*p(z). Let j be (-3)/6*(-18 - -4). Calculate the remainder when 122 is divided by t(j).
29
Let m = 67 + -106. Let x = -6 - m. Calculate the remainder when x is divided by 12.
9
Calculate the remainder when 286 is divided by 164/12*3/(-15)*-15.
40
Suppose 0 = 2*g - 2*v - 126, 0 = -48*v + 50*v + 10. What is the remainder when g is divided by 33?
25
Let n = -99 - -62. Let q = 74 + n. Calculate the remainder when q is divided by 14.
9
Suppose 7*l - 2545 + 95 = 0. Calculate the remainder when l is divided by 9.
8
Suppose -5*u = t - 16, -3*u - t + 10 = -0*u. Suppose u*r - 10 - 2 = 0, -4*y = -2*r - 560. What is the remainder when y is divided by 24?
22
What is the remainder when 935 is divided by (1 - 6) + (139 - 30)?
103
Let y be -3 - 5/(10/34). What is the remainder when (-10)/y - 22*7/(-4) is divided by 7?
4
Let g be 2/(-9) + ((-6384)/54)/(-1). Let z = g - 108. What is the remainder when z is divided by 8?
2
Let l be (-337)/4 + (7 - 162/24). Let u = l + 92. Suppose 11 + 113 = 4*t. What is the remainder when t is divided by u?
7
Let l = -9 + 9. Suppose l = -k - d + 2 + 16, 4*k - 3*d = 86. Suppose -b - 4*o = -5 - 26, -4*o + 187 = 5*b. Calculate the remainder when b is divided by k.
19
Let b = 7 - 0. Suppose 0 = z + 142 - 22. Let j = z + 129. What is the remainder when j is divided by b?
2
Let w(c) be the first derivative of -4 - 3*c - 3/2*c**2 + 1/3*c**3. What is the remainder when w(-7) is divided by 14?
11
Suppose 192 = 6*p - 60. What is the remainder when 120 is divided by p?
36
Suppose 0 = 2*i - 21 - 21. Let v = i - 70. Let j = -23 - v. Calculate the remainder when j is divided by 7.
5
Suppose -1 = c + 5*f, 6*c - c - 23 = 3*f. Suppose -2*l + 2 = -10. Calculate the remainder when (6 + 11 + -5)*7/c is divided by l.
3
Calculate the remainder when (-669)/(0 - 3) + (-180)/36 is divided by 56.
50
Suppose 16 + 8 = 8*v. Suppose 0 = -3*z - z + 52. Calculate the remainder when z is divided by v.
1
Suppose -n + 3*n + 4*f - 26 = 0, 0 = -5*n - 5*f + 40. What is the remainder when 1/3 + (-24)/(-9) is divided by n?
0
Let y = -26 + 70. Let s = y - 31. Let f = -10 - -15. Calculate the remainder when s is divided by f.
3
Suppose -5*j - w = -11, 4*w + 0 + 1 = -5*j. Let y(q) = 32*q + 999. What is the remainder when y(-31) is divided by j?
1
Suppose -9*k + 5*k = 0. Suppose -4*a + 72 + 40 = k. Calculate the remainder when a is divided by 15.
13
Suppose -21*p + 420 + 1659 = 0. What is the remainder when 480 is divided by p?
84
Suppose b = -d + 38, 0*b + 90 = 3*d - 5*b. Suppose 0*z + 14 = -z. Let m = 23 + z. What is the remainder when d is divided by m?
8
Let n(r) = -3*r**3 - 4*r**2 - 2*r + 1. What is the remainder when n(-3) is divided by (-6)/(-4)*1/((-12)/(-112))?
10
Let g = 25 - 4. Calculate the remainder when 1510 is divided by g.
19
Let q = 315 + -218. Let u(m) = 4*m - 31. Let h be u(10). Suppose -6*j = -h*j + 75. Calculate the remainder when q is divided by j.
22
Suppose -7*r = -28 + 21. Calculate the remainder when (-3 - r/1) + 326/2 is divided by 27.
24
Let h = -223 + 274. What is the remainder when 199 is divided by h?
46
Let i(n) be the third derivative of n**6/120 - 13*n**5/60 + 7*n**4/12 - 3*n**3/2 + 5*n**2. What is the remainder when 38 is divided by i(12)?
8
Let a = 15 + -17. Let k be (-295)/(-15) + a/3. Suppose 0 = -4*m + 5*m - k. Calculate the rema