-2)/117). Suppose -4*i = -5*x - m - 35, -5*i - 2*x = -76. Calculate the remainder when i is divided by 16/(-6)*-9*(-7)/(-42).
0
Suppose -70*w - 2*l = -66*w - 504, 5*w = -3*l + 631. What is the remainder when w is divided by 35?
20
Suppose i = 4*p + 35, p - 10 = -i - 0*p. Suppose -10 - i = -2*w + 3*c, -2*w + 31 = -c. Calculate the remainder when 49 is divided by w.
15
Let p = -916 - -933. Let s be -4*(3/(-6))/(-1). Calculate the remainder when (1 + 0)/(s/(-94)) is divided by p.
13
Suppose -3493 - 4871 = -17*d. What is the remainder when d is divided by 71?
66
Suppose 4*v - 1773 = -5*v. What is the remainder when v is divided by 40?
37
Let z(w) = -w**3 + 18*w**2 - 17*w + 1. Let o be z(17). Suppose -t + 4 + o = 0. Let x = t + 0. Calculate the remainder when 13 is divided by x.
3
Let i(p) = 3*p**2 - 5*p - 3. What is the remainder when i(-5) is divided by (-6 + 0)/1 + 31?
22
Suppose -2*u = 3*x + 14, 2 + 5 = 5*u - 3*x. Calculate the remainder when -9*(u/(-3))/(2/(-6)) is divided by 5.
4
Let k be (30/4)/(12/16). Suppose -z - 8 + k = 0. Suppose z*p - 25 = 53. What is the remainder when p is divided by 14?
11
Let r = -474 - -947. Calculate the remainder when r is divided by 122.
107
Let r = -9 + 4. What is the remainder when 14 is divided by r/((-10)/(-4))*(-22)/4?
3
Suppose 6 - 1 = 5*t. Let q be (8/64 - 655/(-8)) + 1. Suppose 3*g - 30 = -n - t, q = 4*n + g. What is the remainder when 58 is divided by n?
18
Let k(v) = v**3 - 2*v**2 + v. Let q be k(6). Let t be 249/2 + 10/(-4). Suppose t = 4*s - q. Calculate the remainder when s is divided by 23.
22
Suppose 11*f = 8*f + 129. Let k = -27 + f. Calculate the remainder when 47 is divided by k.
15
Suppose -5*f + 3876 = 14*f. Calculate the remainder when f is divided by 30.
24
Suppose -4*c + 3*q = 6*q - 67, 76 = 5*c - 4*q. Let v = 22 - c. Calculate the remainder when v is divided by 5.
1
Let c = -1906 - -1934. Calculate the remainder when 70 is divided by c.
14
Let o = -194 - -455. Suppose -o + 97 = -2*u. What is the remainder when u is divided by 14?
12
Let k = 48 - 23. What is the remainder when k is divided by 14?
11
Suppose 97 + 33 = 5*w. Calculate the remainder when (-45)/10*-1*(25 - 3) is divided by w.
21
Suppose 447*x + 1518 = 470*x. What is the remainder when x is divided by 49?
17
Suppose -4*r + 16 = -2*k, 7 + 17 = 2*r - 5*k. Suppose 12 = -2*n + r*p, -n = -6*n - 2*p + 5. Calculate the remainder when 53 is divided by 35/10*(n - -9).
25
Suppose -2*m + 108 = -2*q, -8*m + 4*m - 4*q = -200. Calculate the remainder when 253 is divided by m.
45
Let w = 79 + 11. Suppose -16 = 5*y + 3*k - w, -5*k = -3*y + 24. Let j = -12 + y. Calculate the remainder when 2 is divided by j.
0
Let n = 656 + -408. What is the remainder when n is divided by 63?
59
Suppose 4*i = -3*h + 97, 4*i = 3*h - 59 - 30. Calculate the remainder when 216 is divided by h.
30
What is the remainder when 68 is divided by (-5 + 180/28)/(3/21)?
8
Let f be -6 + 3 - (6 + -3). Let g(u) = u + 7. What is the remainder when 4 is divided by g(f)?
0
Let o(h) = 5*h**2 - h + 2. Let g = -29 - -36. What is the remainder when o(2) is divided by g?
6
What is the remainder when (-458)/6*(-4 + 1) is divided by 29?
26
What is the remainder when 177 is divided by 477/24 + -3*4/(-96)?
17
Suppose 0 = -3*u + 113 + 40. Calculate the remainder when u is divided by 30.
21
Suppose -27*v + 9*v = -1692. Calculate the remainder when 364 is divided by v.
82
Suppose 3*u - 4*u + 39 = 0. Let d(p) = 1. Let t(j) = j - 22. Let v(m) = -2*d(m) - t(m). Calculate the remainder when u is divided by v(0).
19
Calculate the remainder when (-2 + (-32)/(-12))/((-4)/(-78)) is divided by 7.
6
Suppose 6*n - 185 = 4*n - 3*l, 2*n = -5*l + 175. Calculate the remainder when n is divided by 35.
30
Let w(t) = -t**2 + 6*t - 5. Let a be w(2). Suppose -a*b - 2*b = 3*u - 238, -2*b = -2*u - 92. What is the remainder when 91 is divided by b?
44
Let l = 39 + -50. Let i = l + 35. Calculate the remainder when 118 is divided by i.
22
Let p(x) = -x**3 - 10*x**2 - 10*x + 6. Suppose y - 5*u + 9 = 4*y, 3*u + 9 = 0. Suppose -b + y = b. Calculate the remainder when p(-9) is divided by b.
3
Let f = 28 - 5. Let p be (-5)/10 + (-77)/(-2). What is the remainder when f is divided by (p/14 - 3)*-21?
5
Suppose 653 = 3*w + 134. Let y = w - 118. Calculate the remainder when y is divided by 28.
27
Let h(b) = 0 + b**3 - 3 + b - 2 - 2 + 7*b**2. Let s be h(-6). Let r = 29 - s. Calculate the remainder when r is divided by 4.
2
Suppose -293 + 62 = -33*p. Calculate the remainder when 46 is divided by p.
4
Suppose 4*n - 340 = -4*y, y = -y + 5*n + 163. What is the remainder when y is divided by 43?
41
Suppose 8*i - 12*i + 197 = -k, -4*i - k = -187. Calculate the remainder when 330 is divided by i.
42
Calculate the remainder when 91 + -11 - (-6 + 4) is divided by 6.
4
Suppose 17*m = -7*m + 192. Suppose -5*v + 22 = -4*v. What is the remainder when v is divided by m?
6
Suppose -4*l + 0*l = -5*f - 57, 4*f + 20 = 0. Suppose -7*m = -l*m + 8. What is the remainder when 23 is divided by m?
7
What is the remainder when (-2 + 0)/(-8 - (-3614)/455) is divided by 9?
8
Let o(g) = -16*g - 6. Let p be o(5). Let k = 162 + p. What is the remainder when k is divided by 11?
10
Suppose -x - k + 16 = -1, 5*k = 3*x - 27. Suppose 3*m = -2*m + 215. Suppose -m = -5*n - 3. What is the remainder when x is divided by n?
6
Suppose 4*q = 7*q. Suppose q = -3*g + 46 - 10. Calculate the remainder when 59 is divided by g.
11
Suppose -80 + 8 = -3*u. What is the remainder when 95 is divided by u?
23
Let z be -1*(-1 - 0)*5. Suppose -3*v = z*u + 3280, -2*u - 3281 = 3*v + 2*u. Calculate the remainder when (2/3)/((-10)/v) is divided by 19.
16
Suppose -17*w = -303 - 241. Calculate the remainder when 1567 is divided by w.
31
Let z = 656 + -633. Calculate the remainder when 229 is divided by z.
22
Let p be ((-2)/6)/((-3)/(-9)). Calculate the remainder when (1 - 188/(-20))/(4/10) is divided by 0/p + -2 + 11.
8
Let k = 220 - 207. Calculate the remainder when 59 is divided by k.
7
Let s(h) = -h**3 - 44*h**2 - h + 63. What is the remainder when s(-44) is divided by 36?
35
Suppose 23*g + 8 = 27*g. What is the remainder when g/10 - 1036/(-70) is divided by 6?
3
Suppose 3*a - 4*c = 4*a - 43, -4*a + 272 = -4*c. Suppose 5*x - 47 = a. Suppose -7*j - 288 = -43*j. What is the remainder when x is divided by j?
6
Let b = 22 + -4. Suppose b*d - 385 = 11*d. Calculate the remainder when d is divided by 29.
26
Let h = -275 - -298. What is the remainder when 86 is divided by h?
17
Let h(b) = -6*b**2 - b + 34. Calculate the remainder when 93 is divided by h(0).
25
Let z be (-8)/(-6)*(-6)/(-4). What is the remainder when 63002/1962 + 0 + 1/(-9) is divided by (27/z)/((-3)/(-4))?
14
Calculate the remainder when (-421)/(-6) + (-13)/78 is divided by 25.
20
Suppose -6 + 62 = 8*o. Let r = -18 - -38. Calculate the remainder when r is divided by o.
6
Let z(s) be the second derivative of -s**4/6 - 5*s**3/6 + s**2 - 20*s. What is the remainder when 9 is divided by z(-2)?
1
Let k(g) = 2*g**2 + 2*g + 5. Suppose 5*a + 0 - 20 = 0. Suppose -q - a*q + 25 = 0. What is the remainder when k(q) is divided by 17?
14
Let h(y) = y**3 + 11*y**2 - y - 23. Calculate the remainder when h(-4) is divided by 48.
45
What is the remainder when 363 is divided by 1/2 + 17/((-612)/(-2646))?
67
Let x = -3 + -10. What is the remainder when 193 is divided by ((-21)/3 - -6)/(1/x)?
11
Let h = 94 + -43. Let r(b) = b**3 - b + 2. Let y be r(0). Suppose 0*x = y*x - 36. Calculate the remainder when h is divided by x.
15
Suppose 0 = 11*k - 18*k + 413. Calculate the remainder when 235 is divided by k.
58
Suppose -j - 12 = -4*g + 3*j, -12 = 3*g + 4*j. Suppose -10 = -b - g*b. What is the remainder when 27 is divided by b?
7
Calculate the remainder when 393 is divided by (4 - 34)*(-9)/(162/48).
73
Let o = 109 + -107. Calculate the remainder when 4 is divided by o.
0
Let n(l) = 8*l - 13. Let o = 8 + 10. Calculate the remainder when n(o) is divided by 34.
29
Suppose 0 = 3*h - 4 - 11. Suppose -h*d - 7 = -47. Suppose 3*x = x - 5*j + 42, -d = 2*j. Calculate the remainder when x is divided by 8.
7
Let q(l) = 3*l**3 - 24*l**2 + l + 19. What is the remainder when q(9) is divided by 20?
11
Suppose 13*w + 10 = 18*w. What is the remainder when -1 - (-3