41
Let h = -47 + 100. What is the remainder when ((-128)/(-24))/(2/45) is divided by (-10)/2 + (h - 23)?
20
Suppose -25*c + 3*h = -24*c + 85, 0 = -5*c - 2*h - 459. Let w = c - -115. What is the remainder when w is divided by 4?
0
Suppose 0 = -19*f + 25*f. Suppose 7*o = 2*o - 5*j + 245, 4*o + j - 199 = f. What is the remainder when o is divided by 6?
2
Let z be (-4)/(8/6) + (-30)/(-5). Let m be (z/9)/(1/6). Suppose 81 = m*q - 289. What is the remainder when q is divided by 47?
44
Suppose 5*a - 2828 = -643. Suppose a - 81 = 2*p + y, 5*y + 380 = 2*p. Suppose p = -0*i + 6*i. Calculate the remainder when i is divided by 16.
14
Suppose -2*y - 36 = -3*y. Suppose 73*q - 44*q - 17 = 1810. What is the remainder when q is divided by y?
27
Suppose 0 = a - 2, 2*c - a = -0*c + 136. Suppose -21*d + 2918 + 148 = 0. Suppose d = 20*f - 214. What is the remainder when c is divided by f?
15
Let z(w) = -7*w - 13*w + 2 - 12. Let i be z(-4). Let f = 77 - i. What is the remainder when 54 is divided by f?
5
Let l(c) = -2421*c + 15541. Calculate the remainder when l(4) is divided by 93.
91
Let s(k) = 76*k - 36. Let h be s(2). Suppose h*q = 108*q + 664. Calculate the remainder when q is divided by 43.
40
Let y(t) = -t**3 - 14*t**2 + 71. Let i be (-4)/(-1)*(-4 - 2/(-4)). Calculate the remainder when y(i) is divided by 24.
23
Suppose -4*s + 40 = -4*t, s + 0*t = 2*t + 8. Suppose s*d - 7*d = 340. Calculate the remainder when d is divided by 20.
8
Calculate the remainder when 171 is divided by 6 + 37/(592/960).
39
Let g be 2/(-5)*(-710)/(-284). Let q(c) be the third derivative of 19*c**5/60 + c**3/6 + 2*c**2. What is the remainder when 117 is divided by q(g)?
17
Suppose -7*z - 4*f = -5*z - 16, -2*z = -4*f. Suppose -92 + 0 = -4*r - u, -z*r + 92 = 4*u. Calculate the remainder when 45 is divided by r.
22
Suppose -2*p + 2*b = -1814, 82*b + 895 = p + 87*b. Calculate the remainder when p is divided by 238.
191
Let k(l) = 6*l**2 + 31*l + 115. Calculate the remainder when k(-9) is divided by 38.
18
Let l = 34328 + -34280. What is the remainder when (-4)/(-6) - (-283)/3 is divided by l?
47
Let f be (-6)/(-1) - (14 + -13). Suppose 0 = 4*m - p - 117, 9 + 6 = f*p. Calculate the remainder when 747 is divided by m.
27
Suppose -11*l = -8*l - 48. Suppose -3*p - 2*y - 4 = 0, 0 = -5*p - 5*y - 8 - 2. Suppose p = 7*c - l*c + 504. Calculate the remainder when c is divided by 19.
18
Suppose 2*n - 7*n = -0*n. Suppose 4*b - 7*j - 44 = -8*j, -3*b + 5*j + 33 = n. Calculate the remainder when 37 is divided by b.
4
Suppose 32*v - 146978 = 309758. Calculate the remainder when v is divided by 43.
40
Let b = -1516 - -1742. Calculate the remainder when b is divided by 14.
2
Let x(t) = -t + 17. Suppose 3*f = -5*z + 273, 0 = 2*z - 5*z + 4*f + 158. Let h be z/(-14) + (-9)/63. Calculate the remainder when x(h) is divided by 12.
9
Suppose 22*h = 6*h + 1280. Suppose 4*i = 3*l - 944, -l + 0*i = -5*i - 311. What is the remainder when l is divided by h?
76
Suppose -30*s = -39 - 51. Suppose 12*o = s*o + 1188. What is the remainder when o is divided by 34?
30
Suppose 5*n = b + 249, 66*n + b = 64*n + 108. Calculate the remainder when 753 is divided by n.
39
Let n = 62 - 35. Suppose -5*p + 3*s + 155 = -310, 5*p - 4*s = 470. What is the remainder when p is divided by (-615)/(-27) + 2/n*3?
21
Let n(p) = 11*p + 36. Let f(y) = -y**2 + 6*y + 11. Let v be f(0). What is the remainder when n(v) is divided by 40?
37
Let u = -365 - -337. Calculate the remainder when 94 - u/(3 - -1) is divided by 38.
25
Let b(c) = 54*c + 1810. Suppose -i = 4*i - 695. What is the remainder when i is divided by b(-33)?
27
Let a = -109 + 109. Suppose -2*j - 36 + 168 = a. What is the remainder when 5 + -1 + (j - 2) is divided by 23?
22
Suppose u - 5 = 0, l - 60 = -u - 0*u. Let n = -16 - -53. Let h = l - n. What is the remainder when 123 is divided by h?
15
Let j(p) = 28*p + 28*p + 53*p + 19. Let u be j(-22). Calculate the remainder when u/(-21) - (-4)/(-14) is divided by 19.
18
Let i = 35 - -163. Suppose -15051*w = -14976*w - 3525. What is the remainder when i is divided by w?
10
Let a(y) = y**2 - 43*y + 691. What is the remainder when a(52) is divided by 6?
1
Suppose 3*b + 4*y - 214 - 240 = 0, 622 = 4*b - 3*y. Let o = 982 - 942. What is the remainder when b is divided by o?
34
Let b be 6062/18 - 82/(-369). Let k = 346 - b. Calculate the remainder when 59 is divided by k.
5
Let c(p) = 153*p**3. Let r be c(-1). Let k = -36 - r. Suppose -163 = -7*y + k. Calculate the remainder when 156 is divided by y.
36
What is the remainder when 264202/944 - (2/(-16))/1 is divided by 33?
16
Let b = 13 - -5. Let u = -18806 - -18909. What is the remainder when u is divided by b?
13
Let y = 1411 - 1369. Calculate the remainder when 2643 is divided by y.
39
Calculate the remainder when (1356/8)/((-102)/24 + 5) is divided by 17.
5
Let i = -502 - -517. Calculate the remainder when 103 is divided by 18/12*2*i.
13
Let v be 1311/483 - 2/(-7). Suppose 2*z + 5*o - 152 = 7*o, 4*o = v*z - 230. What is the remainder when z is divided by (1 + -3)/(-2) - -10?
8
Let k(p) = -11*p - 35. Let o be k(-4). Suppose -5*z + 113 = c, o*c - 6*c - 2*z = 356. Calculate the remainder when c is divided by 40.
38
Suppose -k - 33*k - 5134 = 0. Let j = 204 + k. Let y = 35 - 4. What is the remainder when j is divided by y?
22
Let b(k) = k**3 + 50*k**2 - 2*k - 38. Calculate the remainder when b(-50) is divided by 39.
23
Let k = -3388 + 3468. What is the remainder when 792 is divided by k?
72
What is the remainder when 175 is divided by -4*7/56*14 + 19?
7
Suppose 4*x = 4*l - 1140, 0*x + 3*x = 4*l - 1136. What is the remainder when 1410 is divided by l?
5
Suppose -147*g + 930 = -137*g. Suppose 5*t + g = p + 6*t, 4*p = -3*t + 376. Calculate the remainder when p is divided by 52.
45
Let u(c) = -14*c**2 - 80*c + 36. Let h(v) = -9*v**2 - 53*v + 24. Let a(y) = -8*h(y) + 5*u(y). Calculate the remainder when a(-15) is divided by 17.
10
Let z(k) = -k**2 + 94*k - 2137. Suppose -12 = -d + 33. Calculate the remainder when d is divided by z(55).
5
Suppose -z + 114 = -2159. Let r = z + -1049. What is the remainder when r is divided by 49?
48
Let j be (33/(-11))/(0 - 2/6). Suppose j*v - 4 - 32 = 0. Suppose -l + n + 22 = v*n, 66 = 3*l + 3*n. Calculate the remainder when l is divided by 14.
8
Suppose -4*q + 4 = 2*a, -4*q + 11 = a + 5. Let v = 122 - 45. Calculate the remainder when v is divided by (a/(-4))/(1/54).
23
Let a = 5294 - 3113. What is the remainder when a is divided by 20?
1
Let o(k) = -2*k + 3. Let w(j) = -2*j + 4. Let d(u) = -7*o(u) + 6*w(u). Let y = 2748 + -2718. What is the remainder when y is divided by d(4)?
8
Let s = -187 - -223. Suppose s*p - 206 = 1090. What is the remainder when 393 is divided by p?
33
Suppose 0 = 959*a - 961*a - w + 552, -4*w - 839 = -3*a. Calculate the remainder when a is divided by 115.
47
Suppose -5*r = -6*r + 381 + 270. Calculate the remainder when r is divided by 41.
36
Suppose 8 = -9*y + 13*y. Suppose 15 = 3*a - y*a. What is the remainder when 10/a - 840/(-9) is divided by 16?
14
Let v = 111 - -126. Let a = v + -193. What is the remainder when a is divided by 13?
5
Let l(b) = -23*b + 7. Let n(j) = -j**2 - 9*j + 7. Let r be n(-7). Let i = -2 + r. What is the remainder when l(-7) is divided by i?
16
Let g(s) = -389*s + 427. Calculate the remainder when g(-4) is divided by 16.
15
Suppose -47*f = 54*f - 2323. Calculate the remainder when 3725 is divided by f.
22
Let k be 5/(15/9)*(-12)/(-9). Suppose -60 = -k*o - 7*s + 5*s, 0 = 3*o + 2*s - 46. Calculate the remainder when 279 is divided by o.
13
Suppose 0 = -b + 212 - 28. Calculate the remainder when b is divided by (605/33)/5*3.
8
Let r(w) = -2*w**3 + 50*w**2 - 3*w + 82. Calculate the remainder when ((-468)/(-65))/(1/20) is divided by r(25).
4
Let f(u) = 565*u + 10. Let n be f(1). Suppose -2*s - 3*s = -n. What is the remainder when s is divided by 30?
25
Let b be (1 + -58)*(-5 + 52/12). Suppose -a + 6*l - 5*l = -b, 5*l - 62 = -2*a. What is the remainder when 249 is divided by a?
33
Let t(q) = -4*q + 6. Let n(v) = -9*v + 11. Let m(g) = -2*n(g) + 5*t(g). Let o be m(-4). What is the remainder when 6/o + 2644/32 is divided by 29?
25
Let t = 3880 - 1486. What is the remainder when t is divided by 185?
174
Let w be ((-420)/(-50))/7