 = t + 8*x - x - x**2 + 5*x + 5. What is the remainder when 38 is divided by s(11)?
18
Let a be (-330)/27 - (-8)/36. What is the remainder when 1 is divided by (4/a)/(4/(-12))?
0
Suppose 2*i + 3*i = 0. Suppose k - 4*n = 31, -2*n - 3*n - 15 = i. Calculate the remainder when 56 is divided by k.
18
Let s(h) be the second derivative of 5*h**4/12 - h**3/3 - 7*h**2/2 - 14*h. What is the remainder when 62 is divided by s(3)?
30
Let r = -22 - -23. Calculate the remainder when 73 is divided by (1 + -2 - -26)*r.
23
Let x = 77 - -14. Suppose 96 = 4*s + 4*b, 0*b - 2*b + 2 = 0. What is the remainder when x is divided by s?
22
Let t(d) = d**2 + 10*d - 43. Calculate the remainder when 93 is divided by t(-14).
2
Let r(f) = f**3 - 3*f**2 + 2*f - 3. What is the remainder when 59 is divided by r(4)?
17
Suppose -3*w - 17 = 5*p - 28, w + 23 = 5*p. Calculate the remainder when 79 is divided by p.
3
Suppose 332 = 5*m - 3*n, 17*m - 16*m - 65 = 2*n. What is the remainder when 1607 is divided by m?
66
Let q(g) = 8*g + 15. Let n be q(10). Suppose 0*a = 5*a - n. Let f = a - 1. Calculate the remainder when 35 is divided by f.
17
Let k(r) = -16*r + 548. What is the remainder when (-2)/((-1)/(-105)*-2) is divided by k(32)?
33
Let h = 137 + -130. Suppose 0 = p - h*p + 210. What is the remainder when p is divided by 13?
9
Suppose -22*i + 52 = -18*i. What is the remainder when 178 is divided by i?
9
Let d be (-42)/10 - (-10)/50. Let u = 8 + d. Suppose -37 = -w + f, 2*f - 49 = u*w - 5*w. Calculate the remainder when w is divided by 22.
19
Let s(v) = v**2 + 3*v - 13. Let t be s(-12). Suppose 0 = -5*f + 5*y + t, y + 20 = 6*y. Calculate the remainder when 65 is divided by f.
19
Let a(t) = t**3 - 34*t**2 + 2*t - 40. Calculate the remainder when 164 is divided by a(34).
24
Suppose l + 0*l - 254 = 3*s, 6 = -3*s. Let o = 356 - l. Calculate the remainder when o is divided by 22.
20
Let p be -1 + 1 + (16 - 0). Let v = p - -1. What is the remainder when (0 - 0) + 130/2 is divided by v?
14
Let b = 171 + -164. Calculate the remainder when 118 is divided by b.
6
Let o = 205 + -22. Suppose 43 - o = -7*l. Calculate the remainder when l is divided by 8.
4
Let s(f) = -f + 31. Suppose 0 = -4*h, -4*x - 69 = h - 225. What is the remainder when x is divided by s(23)?
7
Let p be 1 + 2 + -2 + 0. Let v = p + 3. What is the remainder when 23 is divided by (v/(-10))/(1/(-15))?
5
Suppose 0 = 4*g + 3*i - 275, -17*g - 3*i - 293 = -21*g. What is the remainder when 162 is divided by g?
20
Suppose 1611 = -11*x + 20*x. Calculate the remainder when x is divided by 49.
32
Suppose -18 = 4*l - 6*l. Let a = 4 + 1. Suppose a*v = 2*b + b - 73, -100 = -4*b + 4*v. What is the remainder when b is divided by l?
8
Let o be (12/8)/(3/4). Suppose -h + 6 = -o. Calculate the remainder when (4 + h)*13/2 is divided by 20.
18
Suppose 0 = -3*s - 4*s + 77. Let a = 6 + s. Calculate the remainder when (-64)/(-1)*(-2)/(-4) is divided by a.
15
Let c = -20 + 12. Let q(w) = -32*w - 1. Let k be q(c). Suppose 4*m - k = 3*n, 4*m = -0*m + 5*n + 257. Calculate the remainder when m is divided by 33.
30
Let s(y) = 8*y + 115. What is the remainder when 214 is divided by s(-11)?
25
Let k(b) = -4*b - 6. Let m = -4 - -10. Suppose -m*i + 3*i = -5*o, -i = 5. Calculate the remainder when 11 is divided by k(o).
5
Let r = -22 - -86. Let w = r + -44. Calculate the remainder when w is divided by 7.
6
What is the remainder when 119 is divided by (-4)/10*-10 + 4?
7
Suppose 73*j - 136 = 56*j. Suppose -45 = -d - 0*g + 2*g, 2*d - 90 = -3*g. Calculate the remainder when d is divided by j.
5
Let v = -13 - -17. Let g be v/16 + 45/12. Suppose 153 = 3*o + 5*k, 4*o - 190 = -g*k + 2*k. What is the remainder when o is divided by 16?
14
Let c = 1 - -12. Calculate the remainder when 50 is divided by c.
11
Let h be (0 + -8)/((-11)/22). Suppose 15*u + 10 = h*u. What is the remainder when 39 is divided by u?
9
Suppose 5*l + 1096 = 5*w + 381, 2*w = -2*l + 270. Calculate the remainder when w is divided by 36.
31
Suppose -4390 = -5*j + 5*b, 1751 = 2*j - 4*b + b. What is the remainder when j is divided by 34?
33
Let v(l) = 20*l + 4. Suppose 0 = -9*d + 3*d + 6. What is the remainder when 142 is divided by v(d)?
22
Suppose 14*l + 5*l - 1216 = 0. Calculate the remainder when l is divided by 31.
2
Let p(r) = -3*r**2 + 3*r + 1. Let m(f) = -4*f**2 + 3*f. Let d(u) = 2*m(u) - 3*p(u). Let v = -4 - -9. What is the remainder when d(-2) is divided by v?
2
Let n = -3167 - -3220. Calculate the remainder when n is divided by 54/4*(-2)/(-3).
8
Let t = -354 - -373. Calculate the remainder when 645 is divided by t.
18
Let y(v) = -v**3 - 2*v**2 + 1. Let c(n) = n**2 + 22*n + 89. Calculate the remainder when c(-4) is divided by y(-3).
7
What is the remainder when 22/44*(-474)/(-3) is divided by 41?
38
Let m(w) = -w + 5. Let h be m(7). Let u be ((-5)/6)/(h/12). Calculate the remainder when (2 + 3)*u + -3 is divided by 6.
4
What is the remainder when 298 is divided by (192/20)/(1/15)?
10
Let s = 141 - 84. Let q(u) = -12*u. What is the remainder when s is divided by q(-1)?
9
Suppose -5*l = h - 1054, -7*l = -3*l - 2*h - 832. Calculate the remainder when l is divided by 58.
36
Suppose -825 = -3*f - 2*f. Suppose -4*h = x - 0*x - 335, 0 = -2*h - x + f. Suppose 0 = -2*a + h - 11. What is the remainder when a is divided by 20?
17
Let f = 89 - 51. Calculate the remainder when f is divided by (-4 - 0)*(3 - 5).
6
Let r = 11 - 11. Suppose r = 4*s - 68 + 16. Calculate the remainder when s is divided by 120/(-24) - -3*20/6.
3
Suppose -158 = -3*g + 235. Let w = -86 + g. What is the remainder when w is divided by 17?
11
Let c = 17 - -13. Let b(s) be the third derivative of -s**6/120 + s**5/15 + 5*s**4/24 + 4*s**3/3 + 13*s**2. Calculate the remainder when c is divided by b(5).
6
Let h(n) = -2*n - 7. Let c be h(3). What is the remainder when 118 is divided by 7 - 10 - c/1?
8
Suppose b - 3*g - 13 = 0, -b + 2*g + 0*g + 10 = 0. Calculate the remainder when b is divided by 2.
0
Let k(a) be the second derivative of 0 + 3/2*a**3 - 3*a**2 + 11/12*a**4 + 8*a + 1/20*a**5. Calculate the remainder when 15 is divided by k(-10).
3
Let x(v) = -v**3 + 6*v**2 - v + 14. Let m be x(7). Let o = m + 47. Calculate the remainder when (2 + 1)/((-3)/(-14)) is divided by o.
4
Suppose 0 = 21*p - 1589 - 7063. Calculate the remainder when p is divided by 46.
44
Let d = 14 - -25. Suppose 0 = -3*j - 3*n + 42, 2*j - d = -5*n - 8. What is the remainder when 23 is divided by j?
10
Calculate the remainder when 353 is divided by (0 - 3/(-6))*118.
58
Suppose -3*l - 116 = -j - 14, -29 = l - 2*j. Let r = l - -38. What is the remainder when 6 is divided by r?
0
Let y(n) = n**3 + 4*n**2 + n + 1. Let r be y(-3). Let q(c) = -c**3 + 8*c**2 - 4*c + 4. Calculate the remainder when 98 is divided by q(r).
23
Let n be 114/3 - (5 - 9). Suppose 0 = 4*r - 5*c - 124 + n, 3*r = -3*c + 75. Calculate the remainder when r is divided by 13.
10
Let h(i) = -3*i + 27. Calculate the remainder when h(-4) is divided by 23.
16
Suppose -65*v + 54*v = -385. Calculate the remainder when 174 is divided by v.
34
Suppose 2*c + 4*u = 356, -4*c + 481 + 196 = u. Calculate the remainder when c is divided by 34.
32
Suppose -3*b + 4*b = -20. Suppose -6*p = -9*p + 12. What is the remainder when 9 + b/p + 2 is divided by 3?
0
Let k(a) = 21*a. Let r(s) = s**3 - s**2 + s. Let v be r(1). Let l be k(v). What is the remainder when 1074/14 - (-6)/l is divided by 20?
17
Suppose 5*o + 37 + 8 = 0. Let j = o + 12. Suppose -j*s = 2*t - 38, 2*s - 47 = -5*t + 2*t. What is the remainder when 49 is divided by t?
10
Let c(m) = m**3 + 6*m**2 - 8*m - 3. Suppose -3*i = -u - 4, -11*i + 7 = -9*i - 5*u. Calculate the remainder when c(-7) is divided by i.
0
What is the remainder when (23 - 13) + -12 + 0 + 571 is divided by 38?
37
Let w be (-1*(-15)/2 - 2)*2. Suppose 0 = -12*n + w*n + 11. What is the remainder when n is divided by 8?
3
Suppose -169*h + 714 = -127*h. Calculate the remainder when 131 is divided by h.
12
Suppose -5*q + 264 = -3*q - 4*m, 5*q + 4*m = 730. Suppose q = h - 14. What is the remainder when h is divided by 32?
28
Let h(u) = u**2 + 9*u - 8. Suppose -2*d = 2*d + 28. Let l be h(d). What is the remainder when (-8)/44 - 1214/l is divided by 19?
17
Let d be (3 - 1130/8) + (-3)/4. Suppose -506 