w + 22 = -18. Let f = p + w. What is the remainder when 34 is divided by f?
10
Suppose -5*k + 3*c - 2*c + 126 = 0, 0 = k - c - 22. Calculate the remainder when 102 is divided by k.
24
Suppose 2*b = l + 2, -4*b + b - 25 = -5*l. Let y(f) = 2*f - 5*f + 1 + f. What is the remainder when y(-7) is divided by l?
7
Suppose -2*l + 9 = 1. Suppose -95 = -4*a + 3*h, -2*a + 0*h = h - 35. What is the remainder when a is divided by ((-2)/l)/(2/(-44))?
9
Suppose 0 = -u - 4*q + 34, 2*u = -0*q + 5*q + 3. What is the remainder when 39 is divided by u?
11
Let r be (-5 + 2)*(2 - 3). Suppose 4*w - 24 = 40. What is the remainder when w is divided by r/((-3)/(-10)) + -1?
7
Suppose 3*g - 2*g = 1. Let w = -9 + 26. What is the remainder when w is divided by 17/2 - g/(-2)?
8
Calculate the remainder when 69 is divided by (30/(-18))/(2/(-30)*1).
19
Let j(b) be the third derivative of b**7/420 - b**4/24 + b**2. Let a(m) be the second derivative of j(m). What is the remainder when 17 is divided by a(1)?
5
Suppose -t + 24 = t. Suppose -4*i - t = -2*g + 6, -5*i = 3*g + 17. What is the remainder when 1 is divided by g?
0
Suppose -2*b = 3*j + 23, j = -5*b - 13 - 38. Suppose h - 2*h = 3*x - 49, 5*x = h - 41. Calculate the remainder when h is divided by 82/5 + b/25.
14
Suppose a - 3 = 3. Suppose 2*h - a - 38 = -2*j, -2*h = -2*j + 44. Let r = j + 12. What is the remainder when r is divided by 18?
16
Let s = 5 + 2. Let f = 12 - 7. What is the remainder when s is divided by f?
2
Suppose -85 = -0*g - 5*g. What is the remainder when g is divided by 7?
3
Let d = 29 + -47. Let j be (-50)/d + 2/9. Suppose 0 = 3*u + 3*m + 3, -u + 3*u + m = j. Calculate the remainder when 6 is divided by u.
2
Let a be (-2 + (-39)/(-15))*235. Let p = -62 + a. What is the remainder when p is divided by 27?
25
Suppose 99 + 45 = 3*m. Calculate the remainder when m is divided by 17.
14
Suppose 3*z - 48 - 6 = 0. Calculate the remainder when 102/(-4)*4/(-2) is divided by z.
15
Suppose c - 3 = -2*c, -2*c = 4*a - 330. What is the remainder when a is divided by 28?
26
Suppose 3*c + 15 = 0, 5*x - 2*c = 41 + 24. Calculate the remainder when 19 is divided by x.
8
Calculate the remainder when 107 is divided by (162/15)/((-2)/(-5)).
26
Suppose -2*d + 28 = -3*z, 4*d + 4*z - 56 = 2*d. What is the remainder when 117 is divided by d?
17
What is the remainder when (0 - -6)*28/8 is divided by 6?
3
What is the remainder when 44/6 - (-17)/(-51) is divided by 4?
3
Suppose 5*u - 12 - 8 = 0. Suppose u*t - 4 = 4. What is the remainder when 4 is divided by t?
0
Suppose -4*j + 2*k + k = -28, k = -3*j + 8. Suppose 0 = -2*v + h + 50, -3*v + 6*h + 75 = j*h. Calculate the remainder when v is divided by 9.
7
Let m(s) = 5*s - 6. Let v be (18/(-12))/(3/8). Let i(k) = 11*k - 13. Let d(l) = v*i(l) + 9*m(l). Calculate the remainder when d(9) is divided by 4.
3
Let c be 3*(2/(-1) - -3). Suppose 4*d = 2*n - 38, d = -4*n - c*d + 88. Let v = 16 + n. What is the remainder when v is divided by 13?
11
What is the remainder when ((-30)/20)/(-2 + (-867)/(-438)) is divided by 15?
13
Suppose -k = 5*u - 2*k - 344, u - 84 = 4*k. What is the remainder when u is divided by 23?
22
Let f(j) = 4*j**3 + 6*j - 7. Calculate the remainder when f(2) is divided by 14.
9
Suppose 3*o = -3 + 24. Let d = -86 + 105. Calculate the remainder when d is divided by o.
5
Suppose -5 + 1 = -p. Let m = 27 + -24. Calculate the remainder when p is divided by m.
1
Suppose 0 = -4*x + 6*x. Suppose x*c - 2*c + 22 = 0. What is the remainder when 32 is divided by c?
10
Let q(w) = 4*w**2 - 2*w + 1. Let x(h) = -h**2 - 4*h + 62. What is the remainder when x(0) is divided by q(-2)?
20
Suppose -5*u = -b - 0*b + 42, 104 = 4*b - 4*u. Calculate the remainder when 129 is divided by b.
19
Suppose 5*k - 5*s + 45 = -0*s, -4*k - 4*s - 12 = 0. Calculate the remainder when 46*-3*1/k is divided by 12.
11
Suppose -67 = 4*x - 575. What is the remainder when x is divided by 32?
31
Let a = -95 - -101. Suppose 5*f - 16 = 2*d, d + f - 3 = 3. Calculate the remainder when a is divided by d.
0
Let u(w) = 3 - 3*w + 5*w**2 + 2*w - w**3 + 6*w. Let o be u(5). Let l = o + -6. Calculate the remainder when l is divided by 8.
6
Suppose 2*x - 343 = -5*x. What is the remainder when 146 is divided by x?
48
Let d(k) = -2*k**3 + 5*k - 2*k**3 + 3*k**3 - 3*k**2 - 6. Let g = -2 + 9. What is the remainder when d(-5) is divided by g?
5
Let b(n) = n**2 + 4*n - 5. Calculate the remainder when 51 is divided by b(-8).
24
Suppose -4*v = -5*d + 18 - 75, v + 24 = -3*d. Let k = 21 - d. What is the remainder when k is divided by 16?
14
Suppose -8*o + 3*o + 350 = 0. What is the remainder when o is divided by 24?
22
Suppose b + 5*t - 6 = 0, 0*b - 3*t - 51 = -2*b. Let h be (-2)/(2 + -2 + 2). Calculate the remainder when b is divided by (0 + h)*44/(-4).
10
Let z = 40 + -40. Suppose z = 4*y + y - 100. Let v = -121 - -180. What is the remainder when v is divided by y?
19
Let s(a) = -4*a + 0 + 4 - 2 - 3. What is the remainder when 5 is divided by s(-1)?
2
Let u(m) = m**2 + 4. Let w = 194 + -184. Calculate the remainder when u(-5) is divided by w.
9
Let k = -14 + 27. Suppose 0 = 4*h - 0*h - 496. Let w = h - 86. What is the remainder when w is divided by k?
12
Suppose 2*y = -n + 52, -151 = -7*n + 4*n - y. What is the remainder when n is divided by 17?
16
Calculate the remainder when 56 is divided by 70/2 - (-1 - -5).
25
Let j be (-5)/(-3)*(-6 - -3). Calculate the remainder when 39 is divided by ((-6)/j)/((-3)/(-50)).
19
Let l(u) = 1 + 1 - u**3 - 4*u**3 + u**2 + 2*u. Calculate the remainder when 9 is divided by l(-1).
3
Suppose -o = 0, -3*a - 4*o + 6 + 9 = 0. Suppose -u - 6 = 4*g - 64, -u = 5*g - 72. What is the remainder when g is divided by a?
4
Let a(x) = -15*x - 11. Suppose 0 = 2*h - 141 - 7. Calculate the remainder when h is divided by a(-2).
17
Let w = -93 + 100. Calculate the remainder when 20 is divided by w.
6
Suppose 5*f - o + 0*o = 59, -2*f = -5*o - 19. Calculate the remainder when 95 is divided by f.
11
Suppose 3*t - 2*t - 21 = 0. Suppose 0 = -2*o + 6*o + 4. What is the remainder when t is divided by 0 - -1 - (o + -9)?
10
Suppose p = 13*p - 312. What is the remainder when 74 is divided by p?
22
Suppose 65 = 9*i + 11. Calculate the remainder when 63 is divided by i.
3
Suppose 119 = 4*q - 0*q - 5*p, -q = -3*p - 28. Calculate the remainder when q is divided by 3.
1
Suppose -2*i - y + 3*y + 16 = 0, 2*i - 5*y = 31. Let v = -3 - -6. Calculate the remainder when i is divided by v.
0
Let u(q) = -5*q**2 + 8*q + 9. Let r(d) = -14*d**2 + 23*d + 28. Let b(c) = -3*r(c) + 8*u(c). Calculate the remainder when b(6) is divided by 17.
13
Let s(z) = z**3 + 5*z**2 + 5*z + 3. Calculate the remainder when 9 is divided by s(-3).
3
Let g(c) = 9*c**3 + 1 + c - c**3 - 2 - 3*c**2 + 2*c**2. What is the remainder when g(1) is divided by 4?
3
Let h = -130 + 58. What is the remainder when h/(-16)*(-40)/(-6) is divided by 16?
14
Let l(a) = 19*a**2 + 1. Suppose -3*z + 2*f + 171 = -f, -3*f = 2*z - 119. Calculate the remainder when z is divided by l(1).
18
Suppose -11 = -2*g - 9*g. Suppose 7 = 3*p - 2. Let l = g + p. Calculate the remainder when 13 is divided by l.
1
Suppose -5*t + t + 28 = 0. Let f(r) = r + 6. Let s be f(t). Let a = s + -8. What is the remainder when a is divided by 3?
2
Let x(d) = 6*d**2 - 3*d + 2. Calculate the remainder when 34 is divided by x(1).
4
Suppose -4*b - f + 316 = 3*f, -5*b + 3*f = -371. Suppose -3*n = n - b. What is the remainder when n is divided by 10?
9
Suppose -2*x + 0*x - 5*o + 38 = 0, 4*x - o - 98 = 0. Calculate the remainder when 71 is divided by x.
23
Let n(g) = g - 1. Suppose 0 = -4*q + 3*q - 2*d - 7, -34 = -3*q + 5*d. Let c be n(q). Suppose 42 = c*a - 6. Calculate the remainder when a is divided by 13.
11
Let d(t) = 11*t - 1. Let c be d(4). Let v = c - 5. What is the remainder when v is divided by 20?
18
Suppose 43 = 5*d - 27. Let c(i) = 11*i - 2. What is the remainder when c(5) is divided by d?
11
Suppose 0 = c - 20 + 1. Suppose 0 = -n + c + 1. Suppose -o + 290 = 4*o. What is the remainder when o is divided by n?
18
Suppose -35 = 2*m - 3*m. What is the remainder when m is divided by 2/6 + 2*(-70)/(-12)?
11
Suppose 2 = 3*l - 10. Let s = -2 + l. What is the remainder when 3 is divided by s?
1
Let p(l) = -4*l**3 - 3*l**2 - l + 5.