 Suppose 0*b = c*b - 10, 8 = -2*l + 4*b. Calculate the remainder when 36 is divided by x(l).
10
Let q = 13 - 13. Suppose 0 = -5*a - 4*o - 5, -a = -2*o - 11 - 2. Suppose -12 = -a*y + y + 3*m, q = y - 3*m. Calculate the remainder when 34 is divided by y.
10
Let u = -224 - -231. What is the remainder when u is divided by 6?
1
Suppose k - 47 = -3*p + 36, -2*p + 52 = -k. What is the remainder when 118 is divided by p?
10
Let k(b) = 2*b**2 - 14*b + 17. Suppose r + 34 = 5*m, 12 = -0*r - 3*r. Calculate the remainder when ((-18)/8 - 2)*-4 is divided by k(m).
2
Let c(h) = -10*h + 18. Let t be c(-12). Suppose -4*w - 7*v = -2*v - 184, 3*v - t = -3*w. Calculate the remainder when w is divided by 17.
12
Suppose h + 168 = 2*o - h, 5*o - 4*h = 416. Calculate the remainder when o is divided by 23.
11
Let t(i) = i**3 - 7*i**2 - 8*i + 2. Let g be t(8). Suppose 2*r = r + 2*p + 43, 5*r + g*p = 155. What is the remainder when 131 is divided by r?
32
Suppose -s + 60 - 15 = 5*g, 3*g + 4*s - 10 = 0. Let c(i) = -i**2 + 7 + 19 + 11 + g. What is the remainder when c(0) is divided by 24?
23
Let g(w) = -w**3 + 3*w**2 + 2*w + 1. Suppose -24*o - 73 = -313. What is the remainder when g(-2) is divided by o?
7
Let p(z) = 8*z**2 + 3*z + 4. Let s = 3488 + -3459. What is the remainder when p(3) is divided by s?
27
Let d be 0 + -3*4/(-6). Let n be 421/d - 1/(-2). Suppose -n = -5*f - j, j + 290 - 71 = 5*f. What is the remainder when f is divided by 15?
13
Suppose 4*g = -4*g + 24. Suppose 0 - 4 = -m - g*k, -2*k - 1 = -3*m. What is the remainder when 4 is divided by m?
0
Let k be (-62)/(-3) - 2/3. Suppose 3*u - k = -2*u. Suppose -5*i + 2*z + 45 = u*z, 0 = 3*z. Calculate the remainder when i is divided by 4.
1
Let h(c) = -6*c - 10. Let a be h(-3). Let n = 27 + a. Calculate the remainder when n is divided by 9.
8
Suppose 4*z - 114 - 542 = 0. Calculate the remainder when z is divided by 33.
32
Calculate the remainder when 1362/14 + 0 + (-6)/21 is divided by 17.
12
Let c(i) = i**2 - i - 1. Calculate the remainder when c(6) is divided by 17.
12
Let h = 13 - -2. Suppose x + 0*x = h. Let z(d) = -d**2 + 9*d + 10. Calculate the remainder when z(6) is divided by x.
13
Suppose 5*h + 103 = 8*h + 4*u, 0 = 4*h - u - 169. Let g = h + 14. Calculate the remainder when g is divided by 19.
17
Suppose -2*f - 6 = -2*p, p + 6 = -5*f + 21. Let k(a) = 24*a**3 - 2*a + 1. Let q be k(1). Suppose -q = -5*h + 12. Calculate the remainder when h is divided by f.
1
Suppose -4*a = -4*x + 144, 2*a - 5 - 47 = -2*x. Calculate the remainder when x is divided by 2*5 + -1*2.
7
Let q(t) be the third derivative of t**6/120 + t**5/12 + t**4/8 - t**3/6 + 17*t**2. Calculate the remainder when 14 is divided by q(-3).
6
Let t = -2066 + 2159. Let u(p) = p**3 - 10*p**2 + 10*p + 7. Calculate the remainder when t is divided by u(9).
13
Let r = 77 + 27. Suppose 0 = -5*y + 7*y - r. Calculate the remainder when y is divided by 18.
16
Let s(y) be the first derivative of -y**4/2 + 2*y**3/3 + 3*y**2/2 - 3*y + 7. Let q be s(3). Let r = q + 60. Calculate the remainder when r is divided by 8.
6
Suppose 0 = 20*v - 79 - 1021. What is the remainder when 217 is divided by v?
52
Let q(d) = d**2 + 27*d + 153. Calculate the remainder when 33 is divided by q(-20).
7
Let t = -222 + 286. What is the remainder when t is divided by (-1 + (-9)/(-6))/((-5)/(-130))?
12
Suppose 0 = 32*d - 29*d - 30. Suppose 3*s = -g - d + 35, 0 = 5*s - 3*g - 23. Calculate the remainder when s is divided by 4.
3
Let q(b) = 2*b + 25. Let f be q(-10). Suppose 0 = -f*p + 5*s + 175, -p - 3 = -4*s - 29. What is the remainder when p is divided by 13?
12
Suppose -28 = 2*c - 5*h, 0*c + c = 5*h - 14. Let u(m) = 4*m + 10. Let r be u(-7). Let x = c - r. Calculate the remainder when 14 is divided by x.
2
Let p(y) = 1319*y**2 + 16*y + 18. Calculate the remainder when p(-1) is divided by 21.
19
Let b(k) = -19*k + 22. Calculate the remainder when b(-3) is divided by 42.
37
Let n(f) = 3 - 1 - 5 + 3*f - 5*f. Let l be n(-5). Suppose -l*b + 10*b - 39 = 0. What is the remainder when b is divided by 5?
3
Suppose 145*j - 146*j + 49 = 5*d, 0 = j - 4. Suppose -2*m - 3*m + g = -74, -30 = -3*m - 3*g. Calculate the remainder when m is divided by d.
5
Suppose -7*t + 160 = -2*t. Let b be (2/(-3))/((-2)/(-3)). What is the remainder when t is divided by 34/(-1 + b + 4)?
15
Suppose 4*z - 7*p = -12*p + 381, -4*z + 5*p + 331 = 0. Calculate the remainder when z is divided by 30.
29
Let z = -159 - -92. Let s = 59 - z. What is the remainder when s is divided by 32?
30
Let d = -73 + 181. Calculate the remainder when d is divided by 33.
9
Suppose 3*p - 3*t = 228 + 219, 0 = 3*t + 9. Calculate the remainder when p is divided by 21.
20
Suppose p - 5*l = 81, -6*l + 7*l = -3*p + 163. What is the remainder when p is divided by 5?
1
Let n = -18 + 23. Suppose 2*y - 56 = 4*f - 0*f, 0 = y - n*f - 37. Calculate the remainder when y is divided by 8.
6
Let y(c) = -28*c + 20. Let d be y(11). Let z = d + 526. What is the remainder when z is divided by 30?
28
Suppose 5*r + 128 = 533. Suppose -2*w + 30 = 2*v, -4*v = -4*w - v + r. What is the remainder when w is divided by 10?
8
Suppose 2*p + 106 = 3*p. Suppose -11 = 5*q - p. What is the remainder when 94 is divided by q?
18
Let o(y) = -y - 1. Let s(f) = 6*f + 4. Let t(h) = -18*o(h) - 2*s(h). Suppose -m - 30 = -7*m. Calculate the remainder when t(m) is divided by 14.
12
Let j = -11 - -14. Suppose j*c = 6*c - 15. Suppose 2*a - 45 = -3*d + c*a, -d - 15 = 5*a. Calculate the remainder when 19 is divided by d.
9
Let x = -2456 + 2542. Calculate the remainder when 686 is divided by x.
84
Let n(s) = 3*s**2 + 7*s + 13. What is the remainder when 45 is divided by n(-3)?
7
Let b = 24 + -22. Suppose -4*w + 3*h = -279, 100 = b*w + 2*h - 36. Let z(u) = 2*u**2 + 4*u + 2. What is the remainder when w is divided by z(-4)?
15
Let o = 167 - 87. Let v(c) = -2*c**2 - 97*c - 519. What is the remainder when o is divided by v(-42)?
26
Suppose -6*c - 20 = -c. Let d(m) = 4*m**2 - 5*m - 1. Suppose -28*l + 5*o + 69 = -25*l, 3 = o. What is the remainder when d(c) is divided by l?
27
Suppose 5*o - 8*k + 3*k = 290, -4*o - k + 212 = 0. What is the remainder when o is divided by 3?
0
Let f(s) = -42*s - 1. Suppose 4*q + z - 56 = 0, 2*q = -2*q - 2*z + 60. Calculate the remainder when f(-2) is divided by 7/(-16 - -12 - q/(-3)).
20
Suppose 3*t = -4*f - f + 135, -2*f + 2*t + 54 = 0. Suppose 3 - 18 = -3*o. Suppose -383 = -o*l + 17. What is the remainder when l is divided by f?
26
Suppose 91*u - 3*q - 84 = 90*u, -4*u + q = -358. Calculate the remainder when u is divided by 79.
11
Suppose -6 = -3*t + 4*d - d, 5*t + 3*d = 42. Let k(s) = 6*s + 10. What is the remainder when k(t) is divided by 24 + 0/(-1) + 0?
22
Suppose 2*o - 61 = 5. Suppose 5*q = 2*a + 55, 5*q + 4*a = 5 + 20. What is the remainder when o is divided by q?
6
Let d(m) be the second derivative of -29*m**3/6 - 21*m**2/2 - 3*m. What is the remainder when d(-11) is divided by 25?
23
Suppose p - a = -7*a + 81, -a + 124 = 3*p. Suppose -23 = -l + 4*y, 0 = -2*l + y + 2*y + 31. What is the remainder when p is divided by l?
6
Let l = -100 - -520. Suppose 8*y - l = 156. What is the remainder when y is divided by 13?
7
Suppose 5*t - t + 4*o = 176, 3*o + 28 = t. What is the remainder when t is divided by ((-25)/(225/54) + -16)/(-1)?
18
Suppose 65 = 4*f - 15. Suppose 5*r = 5 + f. What is the remainder when 34 is divided by r?
4
Let b = 94 + -90. Suppose -5*y + b*w = -90, 0 = -w - w. Calculate the remainder when y is divided by 11.
7
Let d = -695 - 139. Let p(k) = -k**3 - 14*k**2 - 23*k + 33. Calculate the remainder when d/(-8) - (-5)/(-20) is divided by p(-12).
20
Let b = 1466 - 1443. What is the remainder when b is divided by ((-16)/(-10))/((-2)/(-15))?
11
What is the remainder when (-4437)/(-29) + 1*2 is divided by 13?
12
Calculate the remainder when 155 is divided by 19 + (3 - (9 - 0/4)).
12
Let j(u) = -u**3 - 15*u**2 - 12*u + 21. Let f be j(-14). Let n = -2 - f. Calculate the remainder when n is divided by 2.
1
Let w = 433 - 394. Calculate the remainder when 148 is divided by w.
31
Let j(h) = 6*h**2 - 50*h - 29. What is the remainder when 0 - (1 + (-24 - 1)) is divided by j(9)?
3
What is the remainder when (-6*1)/(2*30/(-3040)) is divided by 102?
100
Suppose -p = 