 -3*z + 15. What is the remainder when w is divided by z?
8
Let n(m) = -85*m + 1. Suppose d + 4*d = -5. Let j be n(d). Suppose 3*r - t - 101 = 0, 4*r + 3*t - 40 = j. Calculate the remainder when r is divided by 18.
15
Suppose -3*o + 148 = x, 22*o - 4 = 18*o. Calculate the remainder when x is divided by 74.
71
Calculate the remainder when 63 is divided by (2 - 0 - (8 - 4)) + 20.
9
Let c = 54 + -70. Let v = c + 37. What is the remainder when v is divided by 12?
9
Suppose -j - 29 = 5*y, 5*j - 4*y + 0*y + 29 = 0. Let d = j - -15. Calculate the remainder when (-8)/2 + (-63)/(-3) is divided by d.
5
Suppose j + 123 = 4*w, 4*w + 3*j = -40 + 167. Calculate the remainder when w is divided by 13.
5
Let d(g) = -g**2 + g + 2. Suppose 0 = 3*r - 3 - 3. Let b be d(r). Suppose b = -v - 3*v + 36. What is the remainder when 35 is divided by v?
8
Suppose 0 = u + 2, -4*u = -2*k + 42 + 814. Calculate the remainder when k is divided by 152.
120
Let v = -17 - -19. Suppose -v*s = -7*s + 130. Let o = 88 - s. What is the remainder when o is divided by 21?
20
Let o(v) = -v**3 + 7*v**2 - v - 3. Suppose 2 = 4*s + 4*m - 2*m, -20 = -5*s + m. Let q = s - -2. What is the remainder when o(q) is divided by 11?
9
Let p(c) = -2*c**3 - c**2 + 2*c - 4. Let z be p(-3). Let d = z - 23. What is the remainder when 23 is divided by d?
11
Suppose 3192 = z + 7*z. Calculate the remainder when z is divided by 10.
9
Let v(h) = h**2 + 4*h - 2. Suppose w = 2*l - 2, 4*l = -w - 3*w + 40. Calculate the remainder when v(-7) is divided by w.
1
Let t(p) = -3*p + 5. Let d be t(1). Suppose 8*y = 3*y + 60. Calculate the remainder when (94/(-6))/(4/(-24)*d) is divided by y.
11
Suppose -27 = -11*k + 2*k. Calculate the remainder when 19 is divided by k.
1
Let u(t) = t**2 + 19*t - 3. Let k(o) = -o**2 - 19*o + 2. Let i(m) = -5*k(m) - 6*u(m). Let y = -110 - -143. What is the remainder when i(-11) is divided by y?
30
Suppose 0 = 11*p - 15*p - u + 269, 4*p + 4*u = 284. What is the remainder when 126 is divided by p?
60
Let q = 319 + -157. What is the remainder when q is divided by 15?
12
Let a(i) = 2*i**2 + i + 2. Let u be a(0). Let p be (2 - u) + (31 - -4). Suppose 4*v - 99 = -p. What is the remainder when v is divided by 6?
4
Suppose 5*j - 3*b - b = 39, 3*j = -2*b + 41. Suppose -g + 50 = 5*a, -4*a = 4*g - 6*g - 26. Calculate the remainder when j is divided by a.
2
Let i(s) = -s**3 + 10*s**2 + 35*s. Suppose -3*y + 6 + 75 = 0. Calculate the remainder when i(12) is divided by y.
24
Suppose 2*o - h = 142, h - 158 + 446 = 4*o. Calculate the remainder when o is divided by 25.
23
Let w(b) = 20*b + 114. Calculate the remainder when w(-2) is divided by 22.
8
Let h = 2657 + -2618. What is the remainder when 974 is divided by h?
38
Suppose -3*r + 28 = 13. Suppose 0 = -10*y + r*y + 125. What is the remainder when 46 is divided by y?
21
Suppose h = -4*h + 40. Suppose 5*r + 25 = 0, -5*k = -r - 80 - 105. Calculate the remainder when k is divided by h.
4
Suppose -12*j - 752 + 4076 = 0. What is the remainder when j is divided by 24?
13
Suppose -3*h = 3*y - 849, -2*h = 97*y - 96*y - 566. What is the remainder when h is divided by 11?
8
Let j be (-1)/(-4) + (-1359)/(-36). Suppose -33*u + j*u = 505. Calculate the remainder when u is divided by 35.
31
Suppose -2*q + 22 + 32 = 4*f, 5*q + 90 = 5*f. Calculate the remainder when 59 is divided by f.
14
Let b(g) = -11*g**2 + 48*g + 4. Calculate the remainder when b(4) is divided by 6.
2
Let t(m) be the first derivative of -m**3/3 + 13*m**2/2 - m + 1. Calculate the remainder when t(6) is divided by (6*(-13)/156*10)/(10/(-22)).
8
Let i(a) = a**3 - 8*a**2 - 9*a + 7. Let d be i(9). Let w(v) = 5*v + 2. Calculate the remainder when w(d) is divided by 13.
11
Let o be ((-1185)/(-12) - (-9)/(-12)) + 3. Suppose -2*j = -109 - o. What is the remainder when j is divided by 12?
9
Suppose 5*o + 3*p = 14, -9 + 21 = 4*p. Suppose 0 = 5*l + 20, -j - 1 - 5 = l. Calculate the remainder when 9 is divided by j - ((-2 - o) + -1).
1
Let b(p) = p**3 - 11*p**2 + p + 6. Let t(a) = a**3 + 7*a**2 - 7*a + 19. Let k be t(-8). Let i = 2 - -3. What is the remainder when b(k) is divided by i?
2
Let t = 84 + -37. What is the remainder when 74 is divided by t?
27
Let l(f) = -23*f + 470. What is the remainder when 6/(-4)*(-1 - 11) is divided by l(20)?
8
Suppose -3*c = o + 5 - 41, 0 = o - 5*c - 4. Calculate the remainder when o is divided by 11.
2
Let s = -118 - -251. Let q = s - 68. Suppose -55*n - 27*n = -8*n - 1258. Calculate the remainder when q is divided by n.
14
Let u = 57 - 39. Calculate the remainder when (-4)/u + (-202)/(-18) is divided by 5.
1
Suppose 3*x + 7 - 55 = 0. What is the remainder when 24 is divided by 2/(-1) - (1 - x)?
11
Let o(n) = -54*n + 1367. Calculate the remainder when o(14) is divided by 51.
50
Suppose s = -4*t - 4*s + 567, -5*t - 5*s = -710. Calculate the remainder when t is divided by 42.
17
Suppose 0 = 2*w + 3*d - 28, 6*w - 52 = w - 3*d. Suppose 10*q = -w*q + 162. What is the remainder when 97 is divided by q?
7
Suppose -2*j + 33 = -5*g - 26, -3*j + 2*g = -116. Let f(t) = -2*t - 2*t + 3*t + 16*t**2 + 1 - 13*t**2. What is the remainder when j is divided by f(2)?
9
Suppose -93 = -8*k + 83. Calculate the remainder when 63 is divided by k.
19
What is the remainder when 58 is divided by ((-89)/(-178))/(1/40)?
18
Let c(u) = 4*u + 16. What is the remainder when 214 is divided by c(2)?
22
Let a be (8/(-60)*-9)/((-2)/(-5)). Suppose 5*o - 67 = a. What is the remainder when -3 - -42 - (0 - -1) is divided by o?
10
Let o = -481 - -491. Calculate the remainder when 70 is divided by o.
0
Let c = 6 - -1. Let k = -13 - -10. Let u(b) = -8*b + 2. Calculate the remainder when u(k) is divided by c.
5
Suppose 0 = 3*q + 3*o - 21, 0 = -5*q + 3*o + 27 + 32. Let u(d) = -3*d + 59. Calculate the remainder when u(q) is divided by 16.
13
Let l = 37 - 32. Suppose -3*s = b - 80 - l, 3*s = -4*b + 97. Let n = 0 - -6. Calculate the remainder when s is divided by n.
3
Suppose 60 = d + 57. Calculate the remainder when 26 is divided by d.
2
Let n be 3/(58/(-32) + 2). Let b = n - 14. Suppose 0*t - b*t + 4 = 0. What is the remainder when t is divided by 2?
0
Let w = -7 + 12. Suppose p = -2*n + 28, 4*n - 48 = 2*n + 4*p. Suppose -19*y + n = -17*y. What is the remainder when y is divided by w?
3
Let i = -1242 - -1745. Calculate the remainder when i is divided by 22.
19
Suppose -5*m + 65 = -12*a + 16*a, -a + 29 = 2*m. What is the remainder when 678 is divided by m?
15
Let t(q) = q**2 - 7*q - 1. Let d be t(7). Let k = d + 28. Suppose -5*w - 3*z = -7*z - k, -4*z - 3 = 3*w. Calculate the remainder when 7 is divided by w.
1
Let d(v) be the second derivative of v**4/12 - v**3 - 11*v**2/2 + 2*v. Let c be d(8). Suppose 0 = c*q + 3 - 23. What is the remainder when q is divided by 2?
0
Suppose 12*z - 10*z = 10. Calculate the remainder when 12 is divided by z.
2
Let c(s) = s**3 - 25*s**2 + 84*s + 15. Calculate the remainder when c(21) is divided by 7.
1
Let p = -267 + 184. Let n = 77 - p. Suppose -3*k = k - n. What is the remainder when k is divided by 14?
12
Let s(d) = d**3 - 6*d**2 + 2*d - 20. Let c be s(6). Calculate the remainder when (c/6)/(2 - (-116)/(-57)) is divided by 14.
10
Let g(a) = 1 - 3*a + 5*a**2 + 2*a - 4*a**2 + a**3 + 2*a. Let k be g(-1). Suppose 2*c + 0*c - 22 = k. What is the remainder when c is divided by 4?
3
Suppose 0 = -3*z + 5*c + 315, -3*z = c - 2*c - 315. Suppose 0*p - 90 = -3*w + 2*p, 3*p - z = -3*w. What is the remainder when w is divided by 9?
5
Let b = 14 + -13. Calculate the remainder when (38 - -3 - -4) + b + -2 is divided by 12.
8
Suppose -4*f - 45 = -5*a, -a - a = -5*f - 18. Let r = a - 5. Suppose 101 = r*t - 3*p - 0*p, 15 = 3*p. What is the remainder when t is divided by 8?
5
Let a(v) = -v**2 + 7*v - 2. Calculate the remainder when (-7)/((-28)/(-66))*(-4)/6 is divided by a(6).
3
Calculate the remainder when 1008/3 + 0 + -1 is divided by 162.
11
Let z(p) = -3*p**2 + 132*p + 161. Calculate the remainder when 95 is divided by z(45).
17
Let c be (57/(-2))/(36/(-48)). Let p = -36 + c. What is the remainder when 5 is divided by p?
1
Let b(s) = 9*s**2 + 10*s + 35. Let c(j) = -5*j**2 - 5*j - 18. Let p(m) = 4*b(m) + 7*c(m). Calculate the remainder when p(-13) is divided by 40.
38
Let j(g) = 2*g**3 + 19*g**2 - 34*g.