t a = 45 - s. Calculate the remainder when 83 is divided by a.
11
Suppose 17*v - 412 = -21. What is the remainder when v is divided by -4*(-4)/2 + 1?
5
Let w = 19 - 14. Suppose w*l = 10, 3*t = -t + l - 2. Calculate the remainder when t - (-41 + 1 + -3) is divided by 22.
21
Let s = 19 + 18. What is the remainder when 220 is divided by s?
35
Let f be 1 - 1*-17 - 2. Suppose 2*w + 4*b + 0*b - 22 = 0, -2*w = -2*b - 4. Suppose -4*r = -w*r + f. Calculate the remainder when 29 is divided by r.
13
Suppose -387*q + 392*q = 580. Calculate the remainder when q is divided by 51.
14
Let a(k) = k**2 - k - 2. Let d = 49 + 9. What is the remainder when d is divided by a(-3)?
8
Let w(c) = -c**3 + 4*c**2 + 6*c - 3. Let n be w(4). Let j = n - 10. Calculate the remainder when 43 is divided by (j - 0) + 0/(-5).
10
Let a = 45 - -1. Let h = 59 - a. What is the remainder when 25 is divided by h?
12
Suppose -6*h = 32 - 314. Calculate the remainder when 131 is divided by h.
37
Suppose 4*a - 6*a + 88 = 0. Suppose -12*x = -8*x - a. Let b = x - 2. What is the remainder when b is divided by 4?
1
Let z(c) = c**2 - 7*c - 133. Suppose 6 = -2*k + 4, -5*y + 3*k = -128. What is the remainder when y is divided by z(-9)?
3
Suppose -17*u = -3*k - 15*u + 60, -57 = -3*k + 3*u. What is the remainder when 103 is divided by k?
15
Let a(w) = -w**3 - 39*w**2 + 80*w - 31. What is the remainder when 71 is divided by a(-41)?
20
Suppose 0 = -18*b + 435 + 1689. Let z = b - 110. What is the remainder when 118 is divided by z?
6
Let i(w) = w**2 - 2*w - 1. Let k be i(4). Let q be (-15)/(-20)*368/(-2). What is the remainder when 59 is divided by (-16)/(-56) - q/k?
19
Suppose 5*k + 31 = 5*o + 261, 4*k + 5*o = 229. What is the remainder when 352/12 + ((-171)/27 - -8) is divided by ((-2)/6)/((-1)/k)?
14
Suppose 0 = -3*r - 15, -38*x + 37*x - 4 = 2*r. What is the remainder when 14 is divided by x?
2
Suppose -9*j = -79 - 182. Calculate the remainder when j is divided by 17.
12
Suppose 0 = -5*v + 4*i - 3*i + 3588, i = -3*v + 2156. What is the remainder when v is divided by 15?
13
Suppose 3*g + 12 = 0, 4 + 2 = h - g. Suppose h*b = -b - z + 127, 12 = 3*z. What is the remainder when 163 is divided by b?
40
Let z(b) = -4*b + 87. What is the remainder when 131 is divided by z(17)?
17
Suppose -50 = -3*q + d - 0*d, -1 = -d. What is the remainder when q is divided by ((-4)/5)/(-2) + (-516)/(-60)?
8
Let k(j) = 2*j**3 + 2*j**2 - 2*j - 2. Let l be k(-2). Let a be -222*(-2 + (-10)/l). Let p = a + -34. Calculate the remainder when p is divided by 11.
7
Suppose 0 = -w + b + 57, -2*w + 176 = w + 2*b. What is the remainder when 405 is divided by w?
57
Let p(x) = x - 1. Let h(b) = -b**2 + 8*b - 8. Let i(t) = -h(t) + 4*p(t). Let l be i(4). Suppose -l*n = -182 + 14. What is the remainder when n is divided by 11?
9
Let a be (-18)/42 + 66/7. Calculate the remainder when 114 is divided by 348/16*12/a.
27
Let r(m) = m**3 - 14*m**2 + 26*m - 20. What is the remainder when 27 is divided by r(12)?
3
Suppose c - 4*t = 29, -7 = -2*c + t + 23. Calculate the remainder when 25 is divided by c.
12
Let c(n) = -5*n + 4. Let q be c(-3). Suppose -2*d + q = 7. What is the remainder when 23 is divided by d?
5
Suppose 0 = -i + 3, 3*i + 389 = 5*u + 23. Let m = 99 - u. Calculate the remainder when 44 is divided by m.
20
Suppose -378 = r + 6*r. Let z = r + 70. Calculate the remainder when z is divided by 9.
7
Suppose -m + 0*m = -10. Let d(r) = -r**3 - 22*r**2 - 24*r - 16. What is the remainder when d(-21) is divided by m?
7
Suppose 0 = -11*t + 399 + 173. Suppose 0 = -r - 4*r + 1025. What is the remainder when r is divided by t?
49
Let p(l) = -l**2 + 17*l + 37. Calculate the remainder when 210 is divided by p(16).
51
Suppose -4*l + 10*l = 108. What is the remainder when 123 is divided by l?
15
Let m(x) = x + 38. Calculate the remainder when 207 is divided by m(4).
39
Calculate the remainder when 358/20 + (-5)/(-50) is divided by 12.
6
Let m(y) = -26*y - 59. Calculate the remainder when 90 is divided by m(-3).
14
Let y = 227 - 155. What is the remainder when y is divided by 25?
22
Let i(j) = -j**3 + 10*j**2 + 12*j + 11. Let s be i(11). Suppose -s = -4*n + 2. Calculate the remainder when 15 is divided by n.
3
Let r = 4 + 17. Let l = 50 + r. Let s(u) = -u**3 - 4*u**2 + 8*u. Calculate the remainder when l is divided by s(-6).
23
Let v(p) = -10*p - 79. Calculate the remainder when 212 is divided by v(-11).
26
Suppose -3*i - 2*a - 82 = -5*i, 73 = 2*i - 5*a. What is the remainder when 86 is divided by i?
42
Let s = 4 - 2. Calculate the remainder when (-1)/s - 411/(-6) is divided by 10.
8
Let j(x) = x**3 + 4*x**2 + 3*x + 4. Let z be j(-3). Suppose 19*t = 14*t. Let w = z + t. Calculate the remainder when 14 is divided by w.
2
Let d = 101 - 103. What is the remainder when 4 + (-1227)/(-9) - d/3 is divided by 18?
15
Let c(n) = 47*n**2 + n - 1. Let r(d) = d**3 + 5*d**2 - 7*d - 5. Let o be r(-6). Let i = -25 - -41. Calculate the remainder when c(o) is divided by i.
15
Suppose x - 2*n + 5 = 2*x, -n = 4*x + 1. Let y(g) = g**2. Let v be y(x). Let w(u) = 4*u**3 - 2*u**2 + 1. Calculate the remainder when 11 is divided by w(v).
2
Let m(z) = z**2 + 2*z + 8. What is the remainder when 153 is divided by m(-5)?
15
What is the remainder when -18 + 15 + (4 - -143) is divided by 38?
30
Let b(c) = -3 + 13 + 13*c + 0*c - 3*c. What is the remainder when 117 is divided by b(2)?
27
Let m = 17 + -11. Calculate the remainder when (-1)/1 + (11 - 0) is divided by m.
4
Suppose 2*h - 7 = 1. Let w(j) = -j**2 + 9*j - 9. Let f be w(h). Suppose f = -0*s + 5*s - 3*m, 0 = -s + m + 1. Calculate the remainder when 14 is divided by s.
2
Suppose 16 = 2*u - 24. Suppose 0*f = 2*f - u. Suppose -27*d - 224 = -35*d. What is the remainder when d is divided by f?
8
Suppose 3*d - 133 - 65 = 3*m, -5*m - 141 = -2*d. What is the remainder when 103 is divided by ((-18)/d)/((-2)/182)?
25
Let d(n) = 2*n**2 - 108*n - 333. Suppose -2*i - 8 = 0, -3*h + h + 20 = i. Calculate the remainder when h is divided by d(57).
3
Let h = -4 + 46. Suppose 4*n + 2*s - 3*s - 89 = 0, 49 = 2*n - 5*s. Calculate the remainder when h is divided by n.
20
Suppose 0 = -4*c - 31 + 15, 4*d + 5*c - 3784 = 0. What is the remainder when d is divided by 34?
33
Let q = 44 - 52. Let v = 7 - q. Calculate the remainder when v is divided by 58/7 - (-4)/(-14).
7
Suppose -2*r + 244 = 2*l, 4*r = -9*l + 7*l + 250. Calculate the remainder when l is divided by 32 - (-3)/(-9)*3.
26
Let k(h) = 7*h**2 - h. Let x be k(-3). Let v = 84 - x. Suppose -4*s - 53 = -5*s. What is the remainder when s is divided by v?
17
Suppose -3*d - 117 = -6*d. Let a = -116 - -122. What is the remainder when d is divided by a?
3
Suppose 797 = 14*l - 2381. Calculate the remainder when l is divided by 10.
7
Let g = -16 + 19. Suppose -g*c = 9 - 36. Calculate the remainder when 26 is divided by c.
8
Suppose 9*n - 14 = 2*n. Let h(w) = w - 3. What is the remainder when (6 - n - -33)/1 is divided by h(13)?
7
Calculate the remainder when -2*(-366)/4 - -5 is divided by 11.
1
Let t(s) be the first derivative of -22*s**2 - 4*s + 22. Calculate the remainder when 198 is divided by t(-1).
38
What is the remainder when 88 is divided by 2/(-12) - 211*(-2)/12?
18
Let o = 13 + -8. Let y(c) be the third derivative of c**4/24 + 13*c**3/6 + 11*c**2. What is the remainder when o is divided by y(-11)?
1
Let q = 318 - 254. Calculate the remainder when q is divided by 6.
4
Suppose m = -2*h - 2, -h + 0*h - 2 = m. Let b = -1 + 9. What is the remainder when b is divided by ((-35)/(-14))/((-5)/m - 2)?
3
Let d = 2513 + -1408. Calculate the remainder when d is divided by 74.
69
Suppose -2*p - 375 = -5*t, -30 = -t - 2*p + 57. Suppose 2*f = 901 + 27. Calculate the remainder when t is divided by f/18 - 10/(-45).
25
Suppose 2*y - 11 = -y + 2*b, -4*b = -2*y + 18. Suppose 0 = -z + 3 + y. What is the remainder when 19 is divided by z?
3
Suppose 0*p = -3*p + p. Suppose -24 = -d - q - p*q, 3*d + 5*q = 76. What is the remainder when 37 is divided by d?
15
Let y be (-2)/4*8 + 8. Suppose 5*b + 5*g + 265 = 0, 3*b = -b + y*g - 228. Calculate the remainder when 10/b + 1654/22 is divided by 13.
10
Let k(c) = -6 - c + 0*c**3 + 3*c**3 + c**2 - 4*c**3. Let h be k(0). What is the remainder when 85 is divided by ((-4)/(-6))