emainder when 56 is divided by l?
18
Suppose -4*b = -13 - 7, 0 = 5*g + 4*b - 15. What is the remainder when 166 is divided by -1 - 2 - (-18 - g - -2)?
10
Let w(g) = g**2 - 36*g + 189. Let f = 32 - 2. What is the remainder when f is divided by w(30)?
3
Suppose 4*c - 564 = -4*m, -2*m = -87 + 81. What is the remainder when 527 is divided by c?
113
Let y(d) = -4*d**3 + 2*d + 20. Let r(x) = -x**3. Let n(p) = -5*r(p) + y(p). Let k(s) = 9*s + 66. What is the remainder when n(0) is divided by k(-6)?
8
Let j = 75 - -74. Let k(o) = -5*o**3 + o + 1. Let s be k(-1). Suppose s*y - y - 152 = 0. Calculate the remainder when j is divided by y.
35
Suppose -3*l + 3*b + 6 = -93, 3*b = 2*l - 66. What is the remainder when 10554 is divided by l?
27
Let j = 5149 + -4964. Calculate the remainder when j is divided by 30.
5
Let v(d) = -3*d**3 - 2*d**2 + d - 5. Let l(r) = -18*r - 111. Let u be l(-6). What is the remainder when v(u) is divided by 14?
13
Let v = 411 - 405. Let p(i) = -i**3 + 4*i**2 + 11*i + 20. What is the remainder when 46 is divided by p(v)?
4
Suppose 2*x - 113 - 189 = -5*y, -151 = -x - y. Let m = 167 - x. What is the remainder when 284 is divided by m?
12
Suppose 4*y = -w + 6, w - 11 + 3 = -5*y. Suppose 4*u - 41 - 15 = 0. Calculate the remainder when 19 - (5/(-1 + 0) + y) is divided by u.
8
Let p be (5 - (14 - 0))/1. Calculate the remainder when p/(-12) + -1 - (-45045)/84 is divided by 49.
46
Let r be (-976)/8*-1*(-1)/1. Let g = -84 - r. Let p = g + -27. What is the remainder when p is divided by 5?
1
Let y = 81 - 75. Suppose 25 = -5*j - k + y*k, -5*j = -2*k + 10. Suppose j = -4*z + 2*z + 24. Calculate the remainder when 33 is divided by z.
9
Let n(l) = l**3 + 5*l**2 + 3*l + 1. What is the remainder when 2/8 + (16 + 1027/156)*3 is divided by n(-3)?
8
Let n(i) = 1401*i - 2306. Calculate the remainder when n(5) is divided by 20.
19
Let z(g) be the second derivative of g**5/10 - g**4/2 - 7*g**3/6 + 6*g**2 + 298*g. What is the remainder when z(5) is divided by 27?
23
Suppose -2346 + 6169 = 5*f + 27*j, 2*f - 2*j = 1606. Suppose 0*n - 2*n = -38. What is the remainder when f is divided by n?
18
Let l be 4/6*141/(-2). Let z be (-12)/42 + l/7 + 3. Let x(r) = r**3 + 3*r**2 - 7*r - 3. What is the remainder when 14 is divided by x(z)?
5
Let q(l) = l**3 - 4*l**2 + 7*l. Let d be q(5). Suppose -u - 12 = -d. What is the remainder when u is divided by 17?
14
Suppose -4*j = -3*j - 4*x - 22, 9 = 2*j - x. Suppose -4*f = 3*w - 12, -2*w + 6 = -0*f + j*f. What is the remainder when 3 is divided by f?
0
Suppose -3*h + 18*l = 21*l - 5637, -7540 = -4*h + 2*l. What is the remainder when h is divided by 17?
13
Suppose 4*s + 728 = 17*s. What is the remainder when 1004 is divided by s?
52
Suppose -2*s - 10908 = -10*f, f - 14*s + 13*s = 1094. What is the remainder when f is divided by 181?
4
Let z = 24 + -9. Let y = -95 + 123. What is the remainder when y is divided by ((-12)/(-18))/(2/z)?
3
Suppose 86*i - 3843 = -67*i + 132*i. Calculate the remainder when i is divided by 48.
39
Calculate the remainder when (-58)/(-7)*7770/60 is divided by 56.
9
Let y(r) = 8*r**2 - 4 + 4042*r - 4*r**2 - 3941*r. Calculate the remainder when y(-29) is divided by 9.
8
Let r = -1941 + 2167. What is the remainder when r is divided by 54?
10
Suppose -3*t - 3*i + 8*i = -570, 2*i = -5*t + 1012. What is the remainder when t is divided by 58?
26
Let f = 1 + 1. Suppose -15 = -f*r + 2*x + x, -4*x - 24 = -4*r. Suppose 0*c + r*c = 351. What is the remainder when c is divided by 30?
27
Suppose -36 = 7*d + 20. Let t be (1/3)/(d/72). Calculate the remainder when 229 is divided by 1 + t/9 + 272/6.
45
Suppose 4 = 3*n - 23. Suppose -4*k - 4*q + 5 = -27, -3*k - 2*q + 19 = 0. What is the remainder when n is divided by k?
0
Suppose 298 = 5*t + 3*c, 3*t + c - 182 = -4*c. Suppose -2*q = 17*q - 646. What is the remainder when t is divided by q?
25
Suppose x = 8 - 6. Let q be 24/x - 10/5. Suppose 68 = 11*i - q*i. What is the remainder when i is divided by 15?
8
Let d = -2030 + 1370. What is the remainder when 91 is divided by (4*1)/((-80)/d)?
25
Let p be ((-7)/(-2))/(1/(-10)). Let u = p - -48. Suppose -u*a + 87 = -10*a. What is the remainder when 143 is divided by a?
27
Suppose -602*c = 2*q - 605*c - 248, 671 = 5*q + c. What is the remainder when 410 is divided by q?
11
Suppose 259*c - 1217857 - 1235515 + 270002 = 0. Calculate the remainder when c is divided by 114.
108
Suppose 0 = -4*m - 0*k + 3*k - 24, -2*k = -2*m - 10. Let x(n) = 12*n**2 + 16*n - 49. What is the remainder when x(-4) is divided by (-176)/(-18) + (-2)/m?
9
Suppose -11*z + 382 = -13*z + 638. Calculate the remainder when z is divided by 33.
29
Let o be (4 - (-7 + 5)) + 8. What is the remainder when 140 is divided by 14/(-49) - (-984)/o?
0
Let g be (-3 - -92) + 0 + -5. Suppose g*v = 82*v. Calculate the remainder when (-1 + v)*((0 - 4) + -184) is divided by 21.
20
Suppose -369 = 2*y - 4*a + a, 0 = -4*y - 4*a - 748. Let v = y - -238. What is the remainder when 258 is divided by v?
50
Suppose 74 = y - 3*v, v - 18 - 56 = -y. What is the remainder when 4733 is divided by y?
71
Suppose -4*w = -3*j - 1030, -w - 307 + 567 = -2*j. What is the remainder when w is divided by 106?
44
Suppose -2*i + 679*i - 25033 = -2015. Suppose 3 = 2*o - o. What is the remainder when i is divided by o?
1
Let j(c) be the first derivative of 54*c**2 + 15*c + 6. Let p be j(-5). Calculate the remainder when (-1)/(p/(-265) + -2) is divided by 11.
9
Suppose 2*v - 97 = -5*u, -v - 38 = -2*u - 2*v. Suppose 2*a = a + 3*q - 21, -2*a = -5*q + 39. What is the remainder when u is divided by (-140)/42*a/10?
1
Let i = -65 + 71. Let n = -35 + i. Let f = -23 - n. What is the remainder when f is divided by 4?
2
Let f be 300/44 + -7 + 21642/(-33). Let h = f + 794. Suppose 2*i - 67 = -11. Calculate the remainder when h is divided by i.
26
Suppose 478 = 15*z - 227 - 60. Calculate the remainder when 371 is divided by z.
14
Let g(i) be the first derivative of -i**3/3 - 41*i**2/2 - 187*i + 201. What is the remainder when g(-32) is divided by 18?
11
Suppose 2*v + 2*v - 2002 = -7*v. What is the remainder when v is divided by 31?
27
Let g(t) be the first derivative of -t**4/4 - 23*t**3/3 - 24*t**2 - 2*t - 31. Calculate the remainder when 207 is divided by g(-2).
7
Let d = -11875 + 12088. Calculate the remainder when d is divided by 205.
8
Suppose -64*l + 20841 - 68766 = -1981*l. Let y(c) = -5*c**3 + 3*c**2 + 3*c - 4. What is the remainder when y(-3) is divided by l?
24
Let f(w) = -33*w + 379. Calculate the remainder when 3871 is divided by f(11).
15
Suppose -10*w + 4*w = 150. What is the remainder when 51 is divided by (115/w - 7)/((-2)/5)?
22
Let h = -2177 + 2226. Calculate the remainder when h is divided by 5.
4
Let u(w) = 8*w - 1. Let t be u(1). Suppose 2*q - 51 - t = 0. Let r(h) = 11*h**2 + 6*h - 67. Calculate the remainder when r(-4) is divided by q.
27
Suppose w - 13 = 2*d, 4 = -d - 1. Suppose -2*f + 6 = 0, -3*g + w*f - 8*f + 267 = 0. Let i = -67 + g. What is the remainder when 31 is divided by i?
14
Let m = 25 - 23. Suppose 0 = 3*r - m*i - 27, -4*r + i + 18 + 23 = 0. Suppose 140 - r = 3*d. What is the remainder when d is divided by 9?
7
Let k(v) = -v**3 + 19*v**2 + 15*v + 104. Let t be k(20). Suppose 1065 = 11*y + t*y. What is the remainder when 283 is divided by y?
70
Suppose 3*h + 3*u = 1134, -646*u + 644*u = -3*h + 1094. What is the remainder when 2236 is divided by h?
16
Suppose -2*p + v + 581 = 3*p, -4*p = -4*v - 452. Suppose -p - 18 = -m. What is the remainder when m is divided by 46?
43
Suppose -648 = -4*l - 2*g, 0*g - 807 = -5*l - g. Let k = -34913 - -34967. Calculate the remainder when l is divided by k.
53
Calculate the remainder when 2769 is divided by -3 + ((1 - 3) + (-616)/112)*-6.
39
Let o(v) = -v + 15. Let m be o(9). Suppose 124 = 2*h - 4*s, 3*s = m + 6. Suppose -2*c = -48 - 0. Calculate the remainder when h is divided by c.
22
Suppose -3*k + 8 + 3 = -h, 3*k = -2*h + 14. Suppose -2*w + 144 = k*r, 2*w = r + 11 - 47. What is the remainder when 102 is divided by r?
30
Let l(b) = 3 + 147*b**2 - 2*b - 301*b**2 + 3*b**3 + 152*b**2. Let j(i) = i + 2. Let a be j(0). What is the remainder when 44 is divided by l(a)?
14
Let g(l) = -55*l - 28. Calculate the remainder when 346 is divided by g(-1).
22