- 2*w. What is the remainder when p is divided by r?
24
Suppose 67*s = 99 + 169. What is the remainder when 212 is divided by s?
0
Let p(t) = -15*t - 86. Let k be (-258)/30 - (-6)/10. What is the remainder when 61 is divided by p(k)?
27
Let i(v) = v**2 + 4*v - v + 9 + 11 - 28. Let d be i(-5). Suppose -d*a = -2*n + 18, -a + 3 = n + 4. What is the remainder when 6 is divided by n?
2
Suppose 0*f + f - j - 70 = 0, 320 = 5*f + j. What is the remainder when 119 is divided by f?
54
Let q(y) = -6*y - 22. Suppose 0*m - 6 = -3*m. Suppose -3*k + 2*o + 80 = 0, -4*o - 108 = -m*k - 44. What is the remainder when k is divided by q(-6)?
10
Let d be 3/((-39)/9 - -4). Let z = d + 28. What is the remainder when z is divided by 8?
3
Suppose a + 106 = 2*a. What is the remainder when a is divided by -3*(2 + -20 + 6)?
34
Let v = -9 - -24. Suppose -32 - v = -y - 3*q, -2*y = q - 109. Calculate the remainder when y is divided by 29.
27
Let t = 43 - 46. Let v(b) = 7*b**2 + 4*b + 6. What is the remainder when v(t) is divided by 29?
28
Let h be (-4)/(-6)*(-6)/4. Let q = 5 + h. Suppose 0 = -627578*s + 627568*s + 90. What is the remainder when s is divided by q?
1
Let d = -39 + 65. What is the remainder when d is divided by (14/8)/1*24/6?
5
Let m(a) = 16*a. Let l be m(5). Suppose 4*o - l = -o. Let j = -65 - -94. What is the remainder when j is divided by o?
13
Let n(h) = h**2 + h + 44. Calculate the remainder when n(-7) is divided by 30.
26
Let o(d) = -d**3 + 19*d**2 + d - 2. What is the remainder when 84 is divided by o(19)?
16
Let k(r) = r + 32. Let y be k(-16). Suppose -2*s - y + 30 = 0. What is the remainder when 27 is divided by s?
6
Suppose -108 - 53 = -o. What is the remainder when o is divided by 55?
51
Suppose -4*x + 132 = -2*u - 120, -5*u = -4*x + 252. Suppose 5*y - 95 + 11 = 2*g, -5*g = -2*y + 42. What is the remainder when x is divided by y?
15
Suppose 575 = -366*z + 391*z. What is the remainder when 85 is divided by z?
16
Let g(d) = -d**3 - d + 26. Let m(a) = a**2 - 3*a - 3. Let q be m(3). Let h(p) = -p - 3. Let r be h(q). What is the remainder when g(r) is divided by 9?
8
Suppose 47 = 5*x + 2*t - 31, 4*x = 5*t + 36. Calculate the remainder when 291 is divided by x.
11
What is the remainder when (-13490)/(-20) - 15/(-10) is divided by 20?
16
Let y = 276 - 122. Calculate the remainder when 18/9 - y/(-2) is divided by 14.
9
Suppose 5*k = 3*c - 4, k + 2*k - 3*c = -6. Let r = 3 - 1. What is the remainder when r is divided by k?
0
Let n(g) = 3*g**2 - 2*g + 1. Let b be n(1). Let q(o) = 11*o - 4. Suppose -2*j = -0*j - 106. What is the remainder when j is divided by q(b)?
17
Let u = 25 - 15. Suppose c = 10 + 4. What is the remainder when 514/c - ((-324)/(-42) + -8) is divided by u?
7
Let c(w) = -60*w**3 + w + 1. Let a be c(-1). Let l = 3 + 14. Calculate the remainder when l is divided by a/9*(-9)/(-6).
7
Let a(w) = w + 4. Let v(o) = -o**2 - 16*o - 12. Suppose 22*n - 26*n = 52. Calculate the remainder when v(n) is divided by a(3).
6
Let q be (-3)/(3/4*-1). Let j be 2 - ((q - 1) + -143). Suppose -86 = -3*h + m, -h - 4*h + m = -j. Calculate the remainder when 81 is divided by h.
25
Let k(b) = b**2 + b + 8. Let f(o) = -o**2 - o - 9. Let i(w) = 5*f(w) + 6*k(w). Calculate the remainder when i(7) is divided by 15.
14
Let z(t) = 61*t - 455. Calculate the remainder when 96 is divided by z(8).
30
Let x = 32 + -24. Calculate the remainder when 54 is divided by x.
6
Let t = 199 + -192. Calculate the remainder when t is divided by 6.
1
Let z(b) = 3*b + 7. Let c(i) = -2*i - 8. Let s(m) = -4*c(m) - 3*z(m). Suppose -x - 4 = -2*x. What is the remainder when s(-8) is divided by x?
3
Let l(t) = -24*t - 2. Let x = 11 - 13. Let b be l(x). Suppose 0 = 3*k - 5*f - 24 - b, 2*f + 10 = 0. What is the remainder when k is divided by 4?
3
What is the remainder when 101 is divided by (28/20 - -1) + 21/35?
2
Let w(f) = -10*f - 13. Calculate the remainder when w(-10) is divided by ((-45)/36)/((-1)/24).
27
Suppose -3*x = o - 17, 41*o - 37*o - 8 = 0. Let m(f) be the first derivative of f**3/3 - f**2/2 + 2*f + 1. Calculate the remainder when x is divided by m(2).
1
Let s = 128 + -77. Let h be (2 + -4)/(1/(-2)). Calculate the remainder when s is divided by h/14 + (-124)/(-7).
15
Suppose 4*b + b = 85. Suppose -4*s + v - 485 = -4*v, -90 = s + 5*v. Let c = s + 178. What is the remainder when c is divided by b?
12
Suppose -3*k - q = -263, 6*q - 11*q = k - 111. What is the remainder when 341 is divided by k?
83
Suppose 2674 = 6*x - 4412. What is the remainder when x is divided by 74?
71
Suppose 3*t - 4 = a, 2*t = 5*a - 4*a + 3. Let g = 3 - t. Suppose -6*r - 4*c = -11*r + 31, r - 19 = 4*c. What is the remainder when r is divided by g?
1
What is the remainder when (-36)/(-96) + (-17345)/(-40) is divided by 49?
42
Suppose -2*m + 16 + 2 = 0. Let f(n) = -3*n - 13. Let s be f(m). Calculate the remainder when (s + (-4 - -3))*-1 is divided by 22.
19
Let b be (-22)/(-6) + (-2)/3. Suppose -110 = -b*q + q. Let r = q - -9. Calculate the remainder when r is divided by 13.
12
Suppose 163 = 3*p - 3*m - 38, 3*p - 185 = -m. Suppose 3*o - 47 = -5*h + p, 2*o = h - 9. What is the remainder when 34 is divided by h?
15
Suppose -33 = -2*z + 3*p + 1, z + 4*p - 28 = 0. Suppose -7*o + 95 = q - 6*o, 487 = 5*q + o. What is the remainder when q is divided by z?
18
Let r be (-4)/(-2)*3/2. Suppose -3*n + r*g = n - 344, 85 = n - g. Suppose 5*a - n = 2*i, i - 5*i = 2*a - 26. Calculate the remainder when 65 is divided by a.
14
Let i(d) = 3*d + 9. Let t be i(-3). Suppose 0 = 2*y - t*y - 32. Calculate the remainder when 62 is divided by y.
14
Let z = 21 - 34. Let j = 8 - z. Let w(v) = -7*v - 240. Calculate the remainder when j is divided by w(-36).
9
Let r(q) = q**2 - 12*q + 5. Let a be r(12). Suppose -a*b + 12 = -3*n, 0*b + 2*b = 5*n + 1. Calculate the remainder when 130/((7 + n)/4) is divided by 22.
21
Suppose 18*d = 3*d + 300. What is the remainder when d is divided by 16?
4
Let x be (-41)/(-4) + (-10)/8. Let u(w) = w**3 - 7*w**2 - 16*w - 5. What is the remainder when u(x) is divided by 7?
6
Let z(j) = 9*j**2 + 4*j - 2. Let l(n) = 27*n**2 + 11*n - 5. Let b(m) = 4*l(m) - 11*z(m). What is the remainder when 50 is divided by b(1)?
6
Let u(x) = 2*x**2 - 3*x + 1. Let a(q) = -q**2 + 6*q - 8. Let p be a(5). What is the remainder when 54 is divided by u(p)?
26
Let b(p) = 17*p - 93. What is the remainder when b(6) is divided by 5 + ((-6)/(-2))/(-3)?
1
Suppose -d = 2*s + 3*s - 423, -5*s = -2*d - 429. Suppose 0 = 5*f + 4*q - 97 - 40, -3*q = 6. What is the remainder when s is divided by f?
27
Suppose 0 = 2*o - 12 + 2. Calculate the remainder when 77 is divided by o.
2
Let a(q) = -7*q**3 - 3*q**2 + 27*q - 33. Let l(v) = 6*v**3 + 4*v**2 - 26*v + 33. Let r(o) = 5*a(o) + 6*l(o). What is the remainder when 62 is divided by r(-11)?
18
Let i = -28 + 47. Calculate the remainder when 27/2*72/27 is divided by i.
17
Let n = 46 - 27. What is the remainder when 1/7*(249 - -1060) is divided by n?
16
Suppose 46 = 5*x - 39. Let w = 28 - x. What is the remainder when 76 is divided by w?
10
Suppose 7*n - 5*f - 10 = 2*n, 0 = 5*n + 5*f + 30. Let g(x) = -32*x**3 - x**2 - 4*x - 6. What is the remainder when g(n) is divided by 16?
14
Let v(l) = 2*l - 1. Let t be v(4). Let o = 1 + t. Calculate the remainder when 15/6*(12 + -6) is divided by o.
7
What is the remainder when 96 is divided by (-12)/54*3*(-141)/2?
2
Let l be -3*-1*(-5)/3. What is the remainder when 6 + l - -13*2 is divided by 10?
7
Let w = 41 + -27. Suppose -29*g + w = -27*g. What is the remainder when 34 is divided by g?
6
Suppose 17 = 2*u + y, 4*u - 6*y - 19 = -3*y. Suppose 3*o = u + 11. Suppose 5*p = -c + 89, -p - o*c = -c - 13. Calculate the remainder when 71 is divided by p.
17
Let x(q) = q - 5. Let k be x(7). Suppose 4*a - 2*p - 2*p = 392, 5*a - 497 = -k*p. Calculate the remainder when a is divided by 17.
14
Suppose 107*s - 112*s = -225. What is the remainder when 113 is divided by s?
23
Let t = 32 - 3. Suppose -4*p - t + 121 = 5*n, 0 = 5*p - n - 144. Calculate the remainder when 109 is divided by p.
25
Suppose -x + 66 = 2*l, l - 3*x - 44 = 3. Let j(k) = -k**3 - 7*k**2 - k - 9. Let v be j(-7). Calculate the remainder when 11 is divided by v/(-7) + 130/l.
3
Suppose v - 4*y = 23, 0 = 2*y - 3*y - 5. Suppose