 = j - 2*j. Suppose k*d = d + 500. Calculate the remainder when d is divided by 32.
29
Suppose 5*o + 13 = k, -6*k + 4*k - o + 26 = 0. Suppose 10 = 12*f - k*f. Let i = -4 - f. What is the remainder when 41 is divided by i?
5
Let p(a) = a + 11. Let r be p(-8). Calculate the remainder when 101 is divided by (-512)/(-20) + 1 - r/5.
23
Suppose 23*u - m + 122 = 27*u, -3*m - 37 = -u. Calculate the remainder when 232 is divided by u.
15
Let l be -37 + (-3)/((-6)/2). Let i = -21 - l. What is the remainder when ((-222)/(-2))/((75/10)/5) is divided by i?
14
Suppose 5*n = 2*y + 108, 7*y - 3*y = -4*n + 92. Calculate the remainder when 172 is divided by n.
18
Suppose 2*l = l + 8. Let n(f) = f - 9. Let t(i) = 5. Let v(h) = -3*n(h) - 7*t(h). What is the remainder when v(-10) is divided by l?
6
Let m = 216 + -208. Calculate the remainder when m is divided by 4.
0
Let c(f) = 9*f - 21. Calculate the remainder when 9 is divided by c(3).
3
Let t(f) = -5*f - 23. Let b be t(-7). Let q = b + -1. Let n = q + 13. What is the remainder when n is divided by 15?
9
Suppose -3*o = -2*i + 23, -o - 1 = -0*o. Calculate the remainder when (-43 - -1)/(-3)*2 is divided by i.
8
Suppose 4*u - 2*o - 2*o - 476 = 0, 3*u + 3*o = 351. What is the remainder when u is divided by 24?
22
Let j(m) = -m - 7. Let s be j(-7). Suppose 6*q - 11*q + 25 = s. Suppose 0 = -4*g + i + 73, -2*g + 2 + 7 = q*i. Calculate the remainder when 50 is divided by g.
16
Let n(q) = -q**3 - 2*q**2 + 218. Let w be n(0). Suppose 3*k - w - 154 = 0. What is the remainder when k is divided by 21?
19
Suppose 4*c + 98 - 434 = 0. What is the remainder when c is divided by 30?
24
Suppose -33*u + 672 = -17*u. What is the remainder when 796 is divided by u?
40
Let r be 2 - ((-1)/6 - (-13)/6). What is the remainder when 9 is divided by -3 - (30/(-3))/(r - -1)?
2
Let v = 8 + 1. Calculate the remainder when (-3 + 1)/(((-520)/(-26))/(-220)) is divided by v.
4
Let d(u) = -2*u - 6. Let z be d(-3). Let x(q) = -6*q + 11. What is the remainder when x(z) is divided by ((-3)/(-2))/(3/4)?
1
Calculate the remainder when 8/5*(-875)/(-10) is divided by 7.
0
Suppose 8*f + 320 = 3*f - 3*h, 128 = -2*f + 4*h. Let d = -282 + 323. What is the remainder when d is divided by f/(-3) - 8/(-12)?
19
Suppose 9*m - 1110 - 519 = 0. Calculate the remainder when m is divided by 38.
29
Suppose 54*z - 19*z - 595 = 0. What is the remainder when z is divided by 10?
7
Let t(m) = m. Let o(w) = -8*w. Let x(h) = o(h) - 20*t(h). Let a be x(-6). Calculate the remainder when 18/12*a/9 is divided by 15.
13
Suppose -116 - 68 = -4*l. Suppose -5*h + d = -12, -2*h - 2*d = -0*d. What is the remainder when l is divided by (h + -6)/((-2)/6)?
10
Suppose 946 = -8*n - 3*n. What is the remainder when (4/(32/n))/((-3)/12) is divided by ((-36)/16)/((-2)/8)?
7
Suppose -2*x - 5*m - 17 = 0, -2 = x + 3*m + 9. Let q = x - -7. What is the remainder when 41 is divided by q?
8
Let b = 3 - 1. What is the remainder when (24/(-10))/(-3*6/45) is divided by b?
0
Suppose 5*b = -0*r - 5*r - 260, 5*b - 220 = 5*r. Let n = -29 - r. What is the remainder when 51 is divided by n?
13
Let m be 392/(-40) - -4*3/15. Let h(u) = -u**3 - 10*u**2 - 12*u + 5. What is the remainder when 191 is divided by h(m)?
31
Calculate the remainder when -56*(3/(-10))/(60/350) is divided by 50.
48
Calculate the remainder when 254 is divided by 24/48 - 101/(-2).
50
Let j(z) be the second derivative of -z**5/20 + z**4/3 + z**3 + 5*z**2 + 18*z - 2. Calculate the remainder when j(4) is divided by 12.
10
Let f = 461 - 268. What is the remainder when f is divided by 15?
13
Suppose 8*j = -819 + 1019. Suppose -2*p + 5*p - 21 = 0. Calculate the remainder when j is divided by p.
4
What is the remainder when (0 - 3)/((-4184)/(-838) + -5) is divided by 30?
29
Suppose 2*w = -s + 246, 11*w - 16*w - 10 = 0. What is the remainder when s is divided by 32?
26
Let g = -127 - -279. What is the remainder when g is divided by 26?
22
Let h(f) = 2*f**2 - 13*f + 22. What is the remainder when h(9) is divided by 61?
6
Suppose 0 = a - 4*n - 32, 0*a + 5*a - 5*n = 115. Suppose -a*w + 28 = -19*w. Calculate the remainder when 53 is divided by w.
25
Suppose -9*l + l = -312. Calculate the remainder when (l + 1)*(6 + -5) is divided by (-2)/(-5)*(-70)/(-2).
12
Let q(a) be the first derivative of -a**3/3 + 19*a**2/2 + 4*a - 33. Calculate the remainder when 86 is divided by q(18).
20
Let l be (-2 - -1) + (1 - -10). What is the remainder when ((-84)/(-35))/((-2)/(-50)) is divided by (-15)/6*(-84)/l?
18
Let l(f) = -11 - f**2 + 8*f + 12*f - 8*f. Let j be l(11). Suppose -5*w - 31 + 116 = 5*y, 2*w - 4 = j. What is the remainder when 56 is divided by y?
11
Suppose 0*p = -4*p - 2*d + 422, -5*d - 520 = -5*p. Let f(x) = 3*x - 3*x - 5*x + 3 - 2. What is the remainder when p is divided by f(-7)?
33
Calculate the remainder when 143 is divided by (133/(-5) + -3)*25/(-10).
69
Calculate the remainder when 365 is divided by (-7)/4 - (-5100)/272.
8
Suppose f - 26 = -0*f - 3*y, 0 = 4*y. Let a(i) = i**3 - 6*i**2 + 2*i - 14. What is the remainder when a(7) is divided by f?
23
Let l = -922 + 980. Calculate the remainder when l is divided by 2/4 - (-29)/2.
13
Let w(x) = -6*x**2 - 169*x - 24. What is the remainder when 40 is divided by w(-28)?
0
Let t(q) = q**3 - 14*q**2 + 41*q + 4. What is the remainder when 68 is divided by t(10)?
12
Suppose 4*h = 4*l + 100, -14*h - 3*l - 15 = -15*h. Calculate the remainder when h is divided by 19.
11
What is the remainder when 23 is divided by 1/(-9) + (-4572)/(-324)?
9
Let c(q) = -3*q + 7. What is the remainder when 413 is divided by c(-13)?
45
Let q = -8 + 14. Suppose 0 = 4*u - q*u + 24. Calculate the remainder when 46 is divided by u.
10
Let d(q) be the second derivative of q**5/20 - 4*q**4/3 + 8*q**3/3 - 5*q**2 + 5*q. What is the remainder when 13 is divided by d(15)?
3
Let n be ((-2)/3)/((-6)/(-45)). Calculate the remainder when (2 - 1)/(n/(-420) + 0) is divided by 17.
16
Let w = 326 + -212. What is the remainder when 209 is divided by w?
95
Let c be 1 + 0 + 9/(5 + -2). Suppose c*t + 340 = 8*t. Calculate the remainder when t is divided by 31.
23
Let w = 3 + -4. Let o(c) = -c**2 - 30*c + 69. What is the remainder when o(-32) is divided by (-3)/w - (-6 - -7)?
1
Let p(c) be the first derivative of c**3/3 + 4*c**2 - 11*c + 3. Calculate the remainder when p(6) is divided by 26.
21
Let x(b) = -2*b - 18. Let i be x(-14). Suppose 2*o - f + 2 = 7, -3*o + 4*f + i = 0. Calculate the remainder when o is divided by (-1)/2*(1 + -3).
0
Let o be 2/(8/3)*-8. Let w(t) = t**3 + 6*t**2 - t - 4. Suppose -5*k = 0, -6*q - 3*k = -19 + 7. Calculate the remainder when q is divided by w(o).
0
Let m(x) = 11*x + 14. Calculate the remainder when m(4) is divided by 31.
27
Suppose -2*h = 2*c - 2 - 14, c - 4*h = 3. Suppose c = 2*b - 3. Calculate the remainder when 78 is divided by 2/5 - (-98)/b.
18
Let p(a) = a**3 - 3*a**2 - 27*a + 110. Calculate the remainder when p(11) is divided by 87.
85
Let c be 9/(-12) - 138/(-24). Calculate the remainder when 24 is divided by (2 - 2)/(-3) + c.
4
Suppose -6*h + 2*h - 48 = 0. Let c be 153/27*h*1. Calculate the remainder when 17/c - 258/(-8) is divided by 17.
15
Calculate the remainder when 1*198*(-3)/(-6) is divided by 34.
31
Let w(s) = -s**2 - 7*s + 10. Let l be w(-8). Suppose n = -5*h + 60, h + 49 = 4*h - l*n. Calculate the remainder when 24 is divided by h.
11
Suppose 0 = -5*l - 5*t + 490, -3*t = -5*l + 79 + 411. Let c = 1920 - 1900. Calculate the remainder when l is divided by c.
18
Suppose 3 = 3*o + 6, 3*y - 2 = -o. Suppose 0 = 5*x - 4*z + 5, -2*x - 1 = -z + y. What is the remainder when 11 is divided by (1 + -3)/(x/2)?
3
Let y(i) = -i**2 + 3*i - 5. Let g be y(5). Let v = g - -48. Suppose 5*k - 470 = -5*x, -184 - 119 = -3*k + 4*x. Calculate the remainder when k is divided by v.
31
Suppose -434 = -6*r + 46. Calculate the remainder when r is divided by 9.
8
Let b = 4 + 5. Let q(c) = c**2 - 4*c + 3. Suppose 4*v = -2*v - 24. What is the remainder when q(v) is divided by b?
8
Suppose -16 = -4*i - 4. Let b be 10/4*(-16)/(-10). Suppose b*v = -y + 16, -i*y = y + 16. Calculate the remainder when v is divided by 2.
1
Let l(a) = -a**3 - 4*a**2 + a - 1. Let b = -23 + 19. Calculate the remainder when l(-5) is divided by ((-33)/6 - b)/(3/(