. Suppose k*p - 20 - 62 = 0. What is the remainder when p is divided by 15?
11
Let j be (4/(-10))/(5/300). Let y = -23 - j. Suppose o - 4*f - 15 = 0, f - y = 3. Calculate the remainder when 123 is divided by o.
30
Suppose 2*t - 408 = 56*t - 1326. Calculate the remainder when (-1)/2 + (-67)/(-2) is divided by t.
16
What is the remainder when 8/12 + (-3380)/(-15) + 5 is divided by 47?
43
Let l = 1 - -98. Let d = -23 - -27. Let p(h) = -3*h + 29. Calculate the remainder when l is divided by p(d).
14
Suppose 0 = -2*m - 2*x + 32, m + 2*m - 4*x - 62 = 0. Calculate the remainder when 77 is divided by m.
5
Let j = -16 + 8. Let f(z) = z**3 + 9*z**2 + z + 6. Calculate the remainder when f(j) is divided by 32.
30
Suppose 0 = 10*x - 1212 + 1092. What is the remainder when 286 is divided by x?
10
Suppose 704*r = 707*r - 306. Calculate the remainder when r is divided by 26 - (1/(-1) + 1).
24
Suppose -z + 48 = -a, 20 = 2*z + 4*a - 46. Let p = z + 7. Calculate the remainder when p is divided by 3*(13/3 - 0).
11
Let d = 192 + -128. Suppose 21*r - 65 = 16*r. Calculate the remainder when d is divided by r.
12
Let j(m) = -2*m**2 + 2*m - 2. Let o be j(1). What is the remainder when 45 is divided by (11 - 13)*(o + 19/(-2))?
22
Let a = 91 - 84. Let k(r) = 9*r - 50. What is the remainder when 22 is divided by k(a)?
9
Let o = -28 - -29. Suppose -3*u - 2*u + 11 = -2*h, -h = -5*u + 13. What is the remainder when u is divided by (1/o*(1 - 3))/(-2)?
0
Suppose 2*x + u = 27, 5*x + 5*u = x + 51. Let n = 80 - x. Calculate the remainder when n is divided by 23.
20
What is the remainder when 79 is divided by 820/28 + (-3 - 19/(-7))?
21
Suppose -n + 5 = -0*n. Suppose 0 = -0*k - k + 3*o + 1, -n*k = -5*o - 5. Let l(a) = 6*a + 1. What is the remainder when 26 is divided by l(k)?
5
Suppose -514 - 251 = -9*k. Calculate the remainder when k is divided by 40.
5
Suppose -28 = 3*l + 8. Let w be ((-1)/(-3))/(4/l). What is the remainder when 2*(w + (-22)/(-4)) is divided by 5?
4
Let i = 2944 + -2940. Let u(s) = -s**3 + 9*s**2 - 9*s + 1. Let w be u(8). Let f = w + 14. What is the remainder when f is divided by i?
3
Suppose -14*s + 1623 = -283 - 236. Suppose 48 = 2*o + 2*k, o + 4*o + k = 128. Calculate the remainder when s is divided by o.
23
Suppose -b + 6 = 3. Let f be (4 - b)*4464/(-3). Calculate the remainder when f/(-40) - (-8)/10 is divided by 13.
12
Let b(g) = -g + 7. Let u be b(6). Let j = u + 51. Suppose 3*o + 2*k - j = 55, -27 = -o - 5*k. Calculate the remainder when o is divided by 10.
7
Let y(u) = 2*u**3 - 9*u**2 + 8*u. Let i be y(6). Suppose -i = -4*b + 4. What is the remainder when b is divided by 21?
19
Let k(p) = -6*p + 1. Let l be k(-12). Suppose 0*c = c + x - l, 0 = -3*x + 15. Calculate the remainder when c is divided by 36.
32
Suppose 3*x + x = 108. Suppose 3*m + 6 = -x. Let d = 20 - m. Calculate the remainder when d is divided by 7.
3
Let u(z) = -5*z**3 + 2*z**2 + z - 17. Let r(m) = m**3 - m**2 + m + 1. Let q(h) = -4*r(h) - u(h). What is the remainder when q(5) is divided by 41?
40
Suppose i - 116 = -d, 39*i = 38*i + 5*d + 122. What is the remainder when i is divided by 42?
33
Let q be 74 - -5 - (2 + 0). Let x = -32 + q. What is the remainder when 1185/x + 2/(-6) is divided by 10?
6
Let q(u) = 6*u**3 - 1. Let a = 10 + -6. Suppose 5*l + 2*d = -0*l + 77, l - 1 = -a*d. What is the remainder when l is divided by q(1)?
2
Let z(d) = d**2 - 26*d + 167. What is the remainder when 62 is divided by z(16)?
6
Calculate the remainder when 288 is divided by (27 + 62)/(0 - (0 + -1)).
21
Let k(p) = 6*p + 31. Let c be k(6). Let b = -45 + c. What is the remainder when 109 is divided by b?
21
Suppose 4*q - 22 = 2*q. Suppose -6*f + 7 = -71. Calculate the remainder when (2 - 1)/(q/253) is divided by f.
10
Let j(u) = 319*u**2 + 15*u - 17. What is the remainder when j(1) is divided by 16?
13
Let f(o) = -42*o - 1. Let y = 19391 + -19372. Calculate the remainder when f(-2) is divided by y.
7
Suppose 0 = r + 4*h - 5 - 25, -4 = -4*h. Suppose -r = -c + 3. What is the remainder when c is divided by 18?
11
Suppose 0 = 9*d + 386 - 1304. Calculate the remainder when d is divided by 15.
12
Suppose 94*g = 103*g - 900. What is the remainder when 290 is divided by g?
90
Suppose 0 = 2*p - 2, 0 = -2*v - p - 2*p + 29. Calculate the remainder when 73 is divided by v.
8
Suppose -o - 2*o = -30. Let n = o + 5. Suppose 2*z - 56 = 2*j, 2*z + j = 7*z - 144. Calculate the remainder when z is divided by n.
14
Suppose 34*h - 456 = 258. What is the remainder when h is divided by 11?
10
Suppose 5*u + 2 = 3*m - 0, -3*u = -5*m - 2. Let s be (-1 + u)/2 - -22. Let y = s + -12. Calculate the remainder when 34 is divided by y.
7
Let d(h) be the second derivative of h**4/12 + h**3/3 - h**2 + 6*h - 12. Let c be 5*(-1 - (-1)/5). What is the remainder when 23 is divided by d(c)?
5
Suppose -5*l + 155 = -2*r, -27*r = -3*l - 29*r + 77. What is the remainder when l is divided by 8?
5
Let d = -41 + 85. Suppose -5*r + d = -2*c, -2*r + r = 5*c - 25. What is the remainder when 17 is divided by r?
7
Let b(c) = -3*c + 260. Calculate the remainder when b(-33) is divided by 15.
14
Let y(b) = -4*b**2 + 1 + 0 - b**3 - b + 2*b**3. Let v(s) = -s**2 + 8*s - 10. Let l be v(5). What is the remainder when y(l) is divided by 12?
9
Suppose v = -4*n + 3*v + 30, -5*v + 45 = 5*n. Suppose 70 - 22 = -8*u. Let r = 15 - u. Calculate the remainder when r is divided by n.
5
What is the remainder when 184 is divided by (93/(-124))/(3/(-248))?
60
Suppose -5*o - 14 = -19. Let i = 7 - o. Let y(x) = -16*x - 1. Calculate the remainder when y(-1) is divided by i.
3
Let b(u) = 43*u**2 + u. Suppose -3*i - 5*v + 28 = 0, 9 = 5*i + v - 1. Suppose 6*p - 20 = 57 - 23. What is the remainder when b(i) is divided by p?
8
Let d be (-3)/((-1676)/(-416) - 4). Let w = -9 - d. Calculate the remainder when w is divided by 25.
20
Suppose 46*c - 4026 = -20*c. Calculate the remainder when 178 is divided by c.
56
Let b(m) = m**3 + 11*m**2 - 13*m + 11. Suppose -11*k = 31 + 101. What is the remainder when 90 is divided by b(k)?
21
Suppose -30*k + 715 = -2525. Calculate the remainder when k is divided by 35.
3
Suppose -4*s = -s - 5*t - 392, -5*s - 4*t + 678 = 0. What is the remainder when s is divided by 15?
14
Let p be 1/(-3)*(-63)/1. Suppose -p = -4*v + v. Calculate the remainder when 19 is divided by v.
5
Let b = -79 - -82. Suppose -2*a + 3*p - 27 = -3*a, b*a = 5*p + 109. Calculate the remainder when 55 is divided by a.
22
Suppose -4*h - 10 = -3*j, -8 = -5*h + 2. Let f(r) = -3*r - 1. Calculate the remainder when f(-4) is divided by j.
5
Let p = 780 + -755. Let r(i) be the second derivative of i**5/20 - 5*i**4/12 - 2*i**3/3 - 3*i**2/2 - i. Calculate the remainder when p is divided by r(6).
7
Let j = 34 - 8. Suppose 0 = n - 0*n - j. Calculate the remainder when n is divided by 14.
12
Suppose -4*l + 51 + 65 = 5*u, -24 = -2*u + 4*l. What is the remainder when 1919 is divided by u?
19
Let o = -15 - -27. Suppose 0 = -o*q + 15*q - 15. Let b(m) = -2*m**3 - m**2 + 8*m - 3. What is the remainder when b(-3) is divided by q?
3
Let v be 2*12/(-9)*-6. Let s = 19 - v. Suppose -y - 5*u = -s*y + 53, -15 = -5*u. Calculate the remainder when y is divided by 7.
6
Suppose 17*z - 3058 = 12140. Calculate the remainder when z is divided by 39.
36
Suppose 68 = 5*h - s, 4*h - 4*s - 67 = -19. Calculate the remainder when 175 is divided by h.
7
Let o = 5 + 24. Let y = 43 - o. Calculate the remainder when 25 is divided by y.
11
Suppose 0 = 2*r - 2*a + 2, 20 = 4*r + 36*a - 34*a. Suppose 3*h = 2*c - 1, -c + 3*h - 2*h = -1. Calculate the remainder when r is divided by 25/9 - c/(-9).
0
Calculate the remainder when -9*(-5)/(-15) - -61 is divided by 5.
3
Let l(n) = 4*n**2 - n - 9. Let x be l(4). Suppose 0 = w + 2*w - x. Calculate the remainder when 40 is divided by w.
6
Let y(t) = -t**3 + 6*t**2 - 3*t - 5. Let g be y(5). Suppose 3*l = g*l - 2*r - 14, 2*l = -2*r + 2. What is the remainder when 4*(2 + (-9)/(-6)) is divided by l?
2
Suppose 38*o - 34*o - 1464 = 0. Calculate the remainder when o is divided by 75.
66
Suppose -o + 66 = 27. What is the remainder when o is divided by 8?
7
Suppose -3*a + 26 = -70. Let h = -15 + a. Calculate the remainder when -2 - (-52 - 2/(-1)) is divided by h.
14
Suppose 0 = -47*b + 48*b - 38.