. Calculate the remainder when 20 is divided by x.
6
Suppose -2*y - 9 + 25 = 0. Let s = -53 - -81. What is the remainder when s is divided by y?
4
Let d(h) = -h**3 + 4*h**2 - 3*h + 1. What is the remainder when (-2)/((-5)/((-70)/(-4))) is divided by d(2)?
1
Suppose 12*s - 7*s - 40 = 0. Let y = -1 - 1. Let g(r) = 11*r**2 + 3*r + 1. Calculate the remainder when g(y) is divided by s.
7
Let l(h) = -h + 9. Suppose 2*q - 11*q + 45 = 0. Suppose -5*k = 5*u, -q*u = 2*k - 3 - 3. What is the remainder when l(7) is divided by u?
0
Let x(b) = b**2 - 5*b - 10. Suppose 2*t = -n + 109, -2*t - n = -6*n - 91. What is the remainder when t is divided by x(8)?
11
Let z(s) = -2*s + 43. Calculate the remainder when 64 is divided by z(16).
9
Let o = 9 + -7. Suppose o*v - 5*v + 4*z = -48, 0 = v + z - 9. Suppose -p = -5*p + v. What is the remainder when 8 is divided by p?
2
Suppose 5*y - 16 = i - 1, -3*i = 3*y - 45. Suppose 0 = 2*s + 3*t - 45, -4*t + 70 = 4*s - i. What is the remainder when 57 is divided by s?
12
Suppose 5*q = -0*q + 105. Suppose -2*r = 3*r - 120. Suppose -r = -6*i + 4*i. What is the remainder when q is divided by i?
9
Let p be 75/(5*(-3 - 66/(-20))). Let x = -30 + p. Let c = 20 + -12. Calculate the remainder when x is divided by c.
4
Let c(y) = 14*y**2 - 5*y + 3. Let w = -224 + 427. Suppose -29*o + 36*o = w. What is the remainder when c(3) is divided by o?
27
Let j(p) = 9*p**2 + 34*p - 30. What is the remainder when j(-7) is divided by 72?
29
Suppose 376*s - 365*s = 154. Suppose 2*h - 78 = 2*k, 2*k = 3*h - 0*k - 116. What is the remainder when h is divided by s?
10
Let x be (-18)/(4 - 3 - 2). Suppose 3*h = h + x. What is the remainder when 53 is divided by h?
8
Let j(x) = -x**3 + 3*x**2 + 15*x - 17. What is the remainder when 270 is divided by j(5)?
6
Let l(f) = -f**3 + f**2 - 4. Calculate the remainder when 414 is divided by l(-3).
30
Suppose -8*t + 160 = 12*t. What is the remainder when 1951 is divided by t?
7
Let y = 43 + -37. Suppose -2*h - 3*m + 85 = 3*h, -5*m = -5*h + 125. Calculate the remainder when h is divided by y/4*(-70)/(-15).
6
Suppose -x + a + 6 = 0, 21 = 2*x + 2*a + 5. What is the remainder when (-31 + -3 + 1)*-1 is divided by x?
5
Let j(q) be the first derivative of q**3 + 14*q**2 + 10*q - 39. Calculate the remainder when j(-12) is divided by 30.
16
Let u(g) = -g**3 + 11*g**2 + 2*g - 9. Let p = 150 + -113. What is the remainder when p is divided by u(11)?
11
Let c be (-99)/(-9) + (0 + 4)/(-1). Suppose -c*z = -130 + 53. Suppose 0 = 3*g - g - 62. Calculate the remainder when g is divided by z.
9
Let y = -570 - -680. What is the remainder when y is divided by 16?
14
Let i(w) = -2*w - 16. Let n be i(-9). Let r be (-24)/9*18/(-4). Calculate the remainder when 6/r + 93/n is divided by 17.
13
Suppose 6*r - 5*r + 63 = 0. Let x = -25 - r. What is the remainder when x is divided by 14?
10
Let w = 29 + -14. Let z = -17 + 75. Suppose -z = 8*v - 10*v. What is the remainder when v is divided by w?
14
Suppose 0 = -2*o + 5*o - 24. Suppose 4*r = 2*k + 2*k + 216, 2*k + 10 = 0. Let b = -36 + r. Calculate the remainder when b is divided by o.
5
Let j be (-17)/85 - (-12)/10. What is the remainder when 34 is divided by j*(40/4)/2?
4
Suppose 0*k + 3*k + 18 = 0. Let m be (160/(-15))/(k/9). What is the remainder when 26 is divided by 2*1 + (24 - m)?
6
Let p = 135 + -86. Suppose 3*u - 134 = 3*a + p, 0 = u + 3*a - 81. Suppose 0 = 5*d - u - 9. Calculate the remainder when 58 is divided by d.
13
Let c be (4 + -32)*5/(-4). Let w = c + -14. What is the remainder when w is divided by 6?
3
Let s be 147*-4*(-1)/6. Suppose s = -a + 30. What is the remainder when (a/6)/(1/(-3)) is divided by 9?
7
Let f(c) = -7*c - 1. Let m be f(1). Let v = m + 11. Suppose -v*n - 44 = -x, -x - n + 111 = 3*x. What is the remainder when x is divided by 11?
7
Suppose 4*m - 3*j = 35 + 54, -68 = -3*m + j. What is the remainder when 194 is divided by m?
10
Let l = 1209 - 1175. Suppose -4*q + 43 = 3*m + 4, -2*m + 9 = -3*q. What is the remainder when l is divided by m?
7
Let y(n) = n**3 + 3*n**2 + n + 298. What is the remainder when y(0) is divided by 43?
40
Let v = -514 - -678. Calculate the remainder when v is divided by 53.
5
Suppose 32*r - 408 = 26*r. What is the remainder when 268 is divided by r?
64
Suppose 4*l - 1190 = -l - 2*h, -5*l + 1215 = -3*h. Suppose 9*i = 3*i + l. What is the remainder when i is divided by 22?
18
Suppose 4*l + 12 = 0, -n = l + 178 + 255. Calculate the remainder when n/(-5)*(-5)/(-5) is divided by 18.
14
Suppose 27*i - 12*i = 1050. Calculate the remainder when i is divided by 9.
7
Suppose -4*i = 4*n - 88, 4*n = 2*i + 2*n - 48. Calculate the remainder when i is divided by 15.
8
Let c(k) = -19*k + 1. Let f be c(-11). Let h = f + -135. What is the remainder when h is divided by 13?
10
Let c(m) = -3*m - 13 - 8*m + 0*m + 17*m + 6*m**2 - m**3. Suppose 0 = -8*y - 91 + 627. What is the remainder when y is divided by c(6)?
21
Suppose -5*j + 56 = 2*o, 4*o - 3*j = 16 + 122. Suppose 2 + 9 = -3*v - 2*k, 12 = -3*k. Let r = 13 + v. What is the remainder when o is divided by r?
9
Let i be (2 - 1 - -2)/1. Suppose -i*h - 5 = -4*h. Suppose 0 = -h*j + 48 + 62. Calculate the remainder when 64 is divided by j.
20
Let f(g) = -5*g. Suppose 28 = -4*j - 36. Calculate the remainder when f(-4) is divided by (-4)/j*0 + 7.
6
What is the remainder when (-6)/(-7) + 285640/280 is divided by 73?
72
Let g be -3 + ((-1)/1 - -4). Suppose -3*z - 7 = f, 0*f - f + 2*z + 13 = g. Suppose 0 = 4*k - 1 - 11. Calculate the remainder when f is divided by k.
2
Suppose -s + r + 11 = 0, -18 = -5*s + r + 29. Suppose 2*m - 24 = -2*m + 2*x, -18 = -3*m - 2*x. What is the remainder when ((-63)/6)/(s/(-12)) is divided by m?
2
Let z = 34 - 30. Suppose z*x - 77 - 19 = 0. What is the remainder when x is divided by 1/1 - 12*-1?
11
Let p(j) = j - 6. Let x be p(-9). Let s be (-40)/(-2) + (x - -18). Let n = s + -16. Calculate the remainder when 10 is divided by n.
3
Suppose -2*b = -4*x - 62, 147*b = 144*b + x + 108. What is the remainder when 45 is divided by b?
8
Suppose 4*j - 11 = -3*h - 4, h - 5 = -2*j. Suppose -3*z + 8*z - 147 = -j*p, 2*z + p - 60 = 0. What is the remainder when 90 is divided by z?
28
Let q(i) = i + 10. Let u(w) = w**2 + 32. Let p be u(0). Suppose -y + p = y. What is the remainder when y is divided by q(-3)?
2
Suppose 6*s - 8 = 16. What is the remainder when 77 is divided by (s + (-8)/1)*-4?
13
Let m(w) = -21*w**3 - 4*w - 5. Calculate the remainder when 218 is divided by m(-1).
18
Suppose -j - 11 + 36 = 0. Suppose -76 = -j*s + 23*s. Suppose 4*t - 2*m = 596, 0*m = -3*t - 4*m + 447. What is the remainder when t is divided by s?
35
Let v be (-8412)/(-78) + 6/39. Let p = 118 - v. Calculate the remainder when 47 is divided by p.
7
Let p(l) = -4*l**2 - 16 + 3*l**2 - 14*l + 9. Calculate the remainder when p(-8) is divided by 15.
11
Suppose -6*h + 104 - 98 = 0. Let a be (-1)/(-1) + 2 - 1. Suppose 0 = -2*c + 4 - a. What is the remainder when c is divided by h?
0
Let r(g) = -4*g - 40. Let f be r(-13). Let c = 29 + f. Calculate the remainder when c is divided by 7.
6
What is the remainder when 53*1 + -8 + (12 - 2) is divided by 29?
26
Let s = -52 - -54. Suppose 2*r + 4*u - 42 = -r, -2*u + 30 = s*r. Calculate the remainder when 44 is divided by r.
8
Suppose 3*i = 5*l - i - 12, -24 = -5*l - 2*i. Suppose 6*f - 4 = l*f. What is the remainder when 2/(f + 188/(-96)) is divided by 13?
9
Suppose -16 = 6*n - 40. Suppose n = -4*q + 188. Calculate the remainder when q is divided by 12.
10
Let u(g) = -4*g + 92. Calculate the remainder when u(17) is divided by 14.
10
Suppose 2457 = -1073*s + 1080*s. What is the remainder when s is divided by 89?
84
Let m(b) = b**3 + 5*b**2 - 4*b - 11. What is the remainder when 32 is divided by m(-5)?
5
Let c = 58 + -49. Calculate the remainder when 14 - (1 - (-1 + 4)) is divided by c.
7
Let a(v) = v**3 - 10*v**2 + v - 6. Let i be a(10). Let s = i + 1. Suppose -w = -0*w - d, 4*w + s*d - 27 = 0. Calculate the remainder when 4 is divided by w.
1
Suppose -g + 5*d = -21, 3*g - 3*d - 50 = -g. Let r(l) = l**3 - 7*l**2 + 5*l. Let b be r(5). Let q = -22 - b. Calculate the remainder when g is divided by q.
2
Let w(s) = -s**3 + 6*s**2 - 3*s - 1. Suppose 110 = 2*y + 2*q, -5*y + q - 1 + 276 = 0. Calculat