 the remainder when 12 is divided by s?
4
Suppose 2*l + 3 = 5*l, -4*l = 5*w - 1214. Suppose 3*p - w = -5*z, -p - 239 = -4*p - 2*z. What is the remainder when p is divided by 20?
19
Let u be (1 - -1)*(4 - 5). Let k(d) = -3*d**3 + d**2 - 2*d - 4. What is the remainder when k(u) is divided by 5?
3
Let a = 20 - 15. Suppose 5 = 2*q - a. What is the remainder when 13/(2/(-2)*-1) is divided by q?
3
Suppose 0*s = -4*s + 84. Suppose 0*j - 2*j = -162. What is the remainder when j is divided by s?
18
Let g(h) = -h - 3. Let u be g(-3). Let m = u + 20. Suppose 4*q - 80 - m = 0. Calculate the remainder when 73 is divided by q.
23
Let u = 19 + -14. Suppose y = 3*m - 27, u*m - 18 = -4*y + 10. What is the remainder when (225/(-10))/(6/(-8)) is divided by m?
6
Suppose -5*w - 11 - 49 = -5*n, 4 = n + 3*w. Let z be 35/n + 2/4. Suppose 4*o + o + z*i = 48, -5*o - 2*i = -44. What is the remainder when 13 is divided by o?
5
Let g = 42 + -39. Suppose -5*j + 100 = -g*u, -j - 5*u + 43 = 3*j. Let z(w) = 3*w + 1. Calculate the remainder when j is divided by z(3).
7
Let h = 176 - 103. Let m = 527 + -512. What is the remainder when h is divided by m?
13
Calculate the remainder when 2*142 + 3 + (-1 - 0) is divided by 72.
70
Let v(h) = h**3 + 3*h**2 - 3*h - 12. Calculate the remainder when v(4) is divided by 13.
10
Let c be 3/(-5) + (-301)/(-35). What is the remainder when c/(-20) + 422/5 is divided by 29?
26
Suppose -4*s - 2*s - 24 = 0. What is the remainder when 5*24/20*(-22)/s is divided by 6?
3
Let o(s) = -s**2 + 0 - 2 + 0*s**2 - 7*s. Let z(g) = -g + 2. Let v be z(7). What is the remainder when 29 is divided by o(v)?
5
Suppose -2*z = -2*h + 22, h + 4 - 5 = -4*z. What is the remainder when h is divided by 0*(-4)/(-12) + 4?
1
Suppose -c = g + 17 - 30, -5*c + 4*g = -92. What is the remainder when (390/(-25))/((-2)/10) is divided by c?
14
Suppose -31 = -6*w - 7. Suppose 5*n = 2*h + 10, -4 = w*h + 5*n + 16. Calculate the remainder when (2 + h)/(-3) + 12 is divided by 7.
6
Let w = 0 + 59. Calculate the remainder when w is divided by 33.
26
Let m = 13 - 8. Suppose 3 = -4*v + 3*y - 6, 0 = v - m*y - 19. Calculate the remainder when 36 is divided by -11*v/3 - 3.
17
Let t(i) = -i + 89. What is the remainder when t(-35) is divided by 14?
12
Let w(b) = b**3 + 6*b**2 - 29*b. What is the remainder when 87 is divided by w(-9)?
15
Let m(r) = 8*r - 2. Let z(o) = o + 8. Calculate the remainder when m(3) is divided by z(-3).
2
What is the remainder when 62 is divided by 2/(-3) + (5467/21)/11?
16
Suppose 74 = 4*d - 18. Suppose f - 4 = -2, -m + d = f. Calculate the remainder when m is divided by 13.
8
Let c = 2658 - 2321. Suppose -4*d - 2*x - x = -101, -3*d = -5*x - 83. What is the remainder when c is divided by d?
25
Let p(b) = 5*b + 38. What is the remainder when 48 is divided by p(-2)?
20
Suppose 4*x - 3*g - 38 = 0, 3*g + 3 + 2 = x. Suppose 4*k - 3 = 5. What is the remainder when (-4*x)/(k + -4) is divided by 8?
6
Suppose 21*t + 40 = 25*t. Let q = 18 + t. Calculate the remainder when q is divided by 10.
8
Suppose -4*i = 2*c + 3*c - 40, 5*i = -3*c + 63. What is the remainder when 1286 is divided by i?
11
Let d(s) = s**2 - 6*s + 6. Let h be d(4). Let y = -4 - -12. Calculate the remainder when -58*(3/h + 1) is divided by y.
5
Suppose 18 + 60 = 6*k. What is the remainder when 23 is divided by k?
10
Let l = -65 - -20. Let j = -10 - l. Suppose 7*h = 2*h + j. What is the remainder when h is divided by 2?
1
Suppose 10*s - 1039 - 251 = 0. What is the remainder when s is divided by 61?
7
Calculate the remainder when (-1518)/(-10) + (-45)/(-225) is divided by 22.
20
Suppose d = 6*d - 40. Let c be 4/2 - (-3 - -2). What is the remainder when 31 is divided by (d - 5) + 2 + c?
7
What is the remainder when (-48)/(-40) - 1658/(-10) is divided by 13?
11
Let j(r) = -4*r - 7. Let z be j(-6). Suppose -38*h + 37*h = -69. Calculate the remainder when h is divided by 2 + -1 + z + 0.
15
Suppose 4*i - 528 = -0*i. Suppose -5*l = 7 - i. What is the remainder when 42 is divided by l*(-2 + (-26)/(-10))?
12
Suppose g + 4*i - 179 = 0, 9*g - 776 = 5*g - 4*i. Calculate the remainder when g is divided by 48.
7
Calculate the remainder when (-1 + -1)/((-5)/(460/8)) is divided by 23.
0
Let q = 434 + -209. Let k = q + -139. What is the remainder when k is divided by 1 + 1 + 27 + 0?
28
Let a(u) = -2*u**3 + 13*u**2 - 4*u - 7. Let p be a(6). Suppose 4*d - 3*h - 183 + 48 = 0, -p*d + 5*h = -170. What is the remainder when d is divided by 22?
11
Calculate the remainder when (-2)/(-4) - (-4617)/54 is divided by 30.
26
Let l(b) = 5*b + 1. Let p = 3 + -2. Suppose -52*x + 54*x = -2*z + 26, 5*z - 17 = -2*x. Calculate the remainder when x is divided by l(p).
4
Suppose 11*u + 168 = 212. What is the remainder when 15 is divided by u?
3
Let r = 59 - -4. Suppose 5*b = -2*w + 24, 0*b + 2*b + 8 = 0. What is the remainder when r is divided by w?
19
Suppose -143 = -2*k + l + 8, -3*k + 2*l + 229 = 0. What is the remainder when 435 is divided by k?
70
Let z be ((-28)/6)/(3/90). Let b be 0 + -1 + z/7. Let a = b - -23. What is the remainder when 4 is divided by a?
0
Let q(x) = -2*x + 243. Calculate the remainder when q(-28) is divided by 15.
14
Let h = -131 - -206. Calculate the remainder when h is divided by 7.
5
Let s(g) = 8*g**2 + 20*g - 10. Let i(w) = w**2 + w. Let b(r) = 10*i(r) - s(r). What is the remainder when b(7) is divided by 8?
6
Let v(g) be the first derivative of -g**3/3 - 19*g**2/2 - 22*g + 38. Calculate the remainder when 78 is divided by v(-17).
6
Let p(s) be the first derivative of s**3 - 9*s**2/2 + 6*s - 14. What is the remainder when 38 is divided by p(3)?
2
Let y be (27/6)/((-18)/48). What is the remainder when 6/(-9) - 668/y is divided by 29?
26
Let k(m) = -m**3 + 11*m**2 + 27*m + 19. Calculate the remainder when 154 is divided by k(13).
26
Let k = 566 - 874. What is the remainder when (-2)/(-7) - (-537)/7 is divided by k/(-16) + (-6)/(-8)?
17
Suppose 868 = 4*w - 3*d - 45, 4*w - 948 = -4*d. What is the remainder when w is divided by 13?
11
Suppose 0*y - 6 = -3*y. Suppose y*f + f = 117. Let n = 87 - f. What is the remainder when n is divided by 10?
8
Let k = 2 - -1. Let q(b) = 3*b**2 + 18*b - 14. What is the remainder when q(-7) is divided by k?
1
What is the remainder when 35 is divided by 18/((-2 - (-30)/12)*4)?
8
Suppose 2*n - 64 = m, -2*n - 4*m = -3*n + 25. Let w(q) = -51*q - 6. What is the remainder when w(-2) is divided by n?
30
Suppose -3*r - 2*d + 60 = 0, 3*r - 4*d - 8 - 34 = 0. Suppose -5*f - r = -3*b + 31, 2*b = -3*f + 20. What is the remainder when 25 is divided by b?
12
Suppose -4*q + 9*q = -10. Let v = -2 - -7. What is the remainder when v is divided by q/9 + (-76)/(-18)?
1
Suppose 4*t + 0*t - 252 = 0. Let v = 411 - 389. Calculate the remainder when t is divided by v.
19
Let o = 463 + -433. What is the remainder when 106 is divided by o?
16
Suppose -3*c = 4*b - 115, c + 0 + 3 = 0. Suppose 61 = -6*a + 7*a. Calculate the remainder when a is divided by b.
30
Let g = 341 - 74. Calculate the remainder when g is divided by 68.
63
Suppose 4*p - 426 = 782. What is the remainder when p is divided by 101?
100
Let f(u) = u**2 - 2*u - 4. Let i be (-6)/(-15) + 0 + 28/5. Calculate the remainder when f(i) is divided by 7.
6
Let y(n) = n**3 - 2*n**2 - n - 4. Let t be y(3). Suppose 5*q = t - 12. Calculate the remainder when 87 is divided by (15*2)/(-1 - q).
27
Let m(v) = -4*v + 5*v + 13*v**2 + 0*v - 2*v + 2. What is the remainder when m(2) is divided by 19?
14
Suppose 6*r = -3*r + 576. Suppose -8*q = -160 - r. What is the remainder when 194 is divided by q?
26
Suppose 5*g - 42 = -12. Suppose 0 = -3*a + 7*a - 8. Suppose a*s = -7 + 15. What is the remainder when g is divided by s?
2
Let b = 170 + -162. Calculate the remainder when 25 is divided by b.
1
Suppose 7 = 6*a - 17. What is the remainder when 10 is divided by a?
2
Let k be (154/22)/((-2)/(-70)). Suppose 2*a + 3*a - k = 0. Calculate the remainder when a is divided by 13.
10
Let v = 3 - -1. Let h(f) = -f**3 - 4*f**2 - f + 5. Let i be h(-5). Suppose -v*l + 0*r + 35 = -5*r, l = -4*r + i. What is the remainder when 73 is divided by l?
13
Let s be (0 + 4)*8/32. Let z be s/3*(-84)/(-7). Suppose -2*i = p - 40, 8*i - 3*i - 169 = -z*p. What is the remainder when p is divided by 12?
10
