4. Calculate the remainder when x is divided by w.
1
Let q = 199 - -65. Let g = q - 121. Calculate the remainder when g is divided by 19.
10
Suppose -7*k + 373 = -103 - 63. What is the remainder when 691 is divided by k?
75
Suppose 0 = 6*a - a - 75. Let o(b) = 3 + 5*b - 4*b + 1. Calculate the remainder when o(a) is divided by 4.
3
Suppose 0 = 115*l - 111*l + 2*c - 2784, -3*l - c = -2086. What is the remainder when l is divided by 29?
27
Let i(x) = -2*x**3 + 47*x**2 - 39*x - 5. Calculate the remainder when i(22) is divided by 212.
165
Let l = -3340 - -3467. What is the remainder when 224 is divided by l?
97
Suppose 9*i - 7*i = 0. Suppose 32*d = -i*d + 4384. Calculate the remainder when d is divided by 38.
23
Let x(m) = -m**3 - m**2 + 597*m - 54. What is the remainder when ((-190)/15)/((-2)/36) is divided by x(-25)?
18
Suppose -l = 4*a - 1201, -4*a = 5*l - 753 - 468. What is the remainder when 2384 is divided by a?
291
Let d = 14 - 6. Suppose 0 = -28*t + 49561 + 5543. Suppose -8*x - d*x = -t. What is the remainder when x is divided by 32?
27
Suppose 13 + 53 = 3*x. Suppose -11*y - 6*y + 731 = 0. Let b = y - x. Calculate the remainder when 82 is divided by b.
19
Let p(f) = 49*f - 40. Calculate the remainder when p(3) is divided by (-6 + 9/(-3))*-3.
26
Suppose 0*m + 10*m = 100. Suppose -u = -0 - m. Suppose -4*g = -6*g + 12. What is the remainder when u is divided by g?
4
Let n be ((-16)/(-3) - 20/(-30)) + 3. Suppose -140 = 2*b - n*b. Suppose -336 = 8*k - b*k. What is the remainder when k is divided by 10?
8
Let j(q) = -14*q + 19. Let s be j(-23). Suppose -n + 233 = x - 83, -n = -4*x - s. What is the remainder when n is divided by 27?
24
Let t be (-30)/(-9) - (2 + 24/(-9)). Suppose 3*q = -15, -3*d + 3*q + t + 101 = 0. Suppose 4*x - 745 = -x. Calculate the remainder when x is divided by d.
29
Let c(b) = b**3 + b**2 + 2*b + 62. Suppose 39 + 137 = 11*r. Calculate the remainder when c(0) is divided by r.
14
Suppose 53*q + 722 = 3*v + 48*q, 2*q + 2 = 0. What is the remainder when 939 is divided by v?
222
Suppose -2*v - v + 482 = -214. What is the remainder when 701 is divided by v?
5
Let v = 394 - -6850. What is the remainder when v is divided by 69?
68
Let v = 0 - -1. Let u(a) = 15*a**3 - a**2 + 2*a - 1. Suppose 1730 - 3782 = -94*l + 3306. Calculate the remainder when l is divided by u(v).
12
Suppose -508*z + 784 = -494*z. Calculate the remainder when 385 is divided by z.
49
Let l = -19 - 11. Let j be (-4 - 9/(-2)) + 127/2. Let d = l + j. What is the remainder when d is divided by 9?
7
What is the remainder when 2039 is divided by 1 + 10/(-4)*2/(-20)*156?
39
Let g(p) = -24*p - 81. Suppose -28*m + 4*m + 1032 = 0. Calculate the remainder when g(-6) is divided by m.
20
Suppose -333*m + 694*m = 339*m + 2530. What is the remainder when 3093 is divided by m?
103
Let s(y) = 2*y**3 - 7*y**2 - 7*y - 1. Suppose 2*o - 179 = -143. What is the remainder when s(6) is divided by o/45 - (1656/20)/(-3)?
25
Let w(o) = o + 33. Let i be (-10)/(-3)*45/(-5). Let x be w(i). Suppose -x*u + 16 = -29. Calculate the remainder when u is divided by 5.
0
Let i = -35676 - -42410. Calculate the remainder when i is divided by 1681.
10
Let j(q) = -q + 112. Let f be j(23). Suppose 2*m = f - 47. What is the remainder when m is divided by 21?
0
Let z(i) = -2*i**3 - 18*i**2 - 56*i + 9. Calculate the remainder when 1271 is divided by z(-6).
110
Suppose 35*m - 10932 = 4503. What is the remainder when m is divided by 54?
9
Let o = -3261 + 4358. Calculate the remainder when o is divided by 184.
177
What is the remainder when 7774 is divided by 674/7 + (-420)/1470?
94
Let m = 272 + -248. Suppose -7*f = 2*j - 11*f - 32, -j + 4*f + m = 0. What is the remainder when 318 is divided by j?
6
Suppose -7*p - 967 = 42*p - 1849. Let c(s) be the first derivative of s**4/4 - 2*s**2 + 4*s - 1. What is the remainder when c(4) is divided by p?
16
Let z = 4319 + -4294. What is the remainder when 217 is divided by z?
17
Suppose 2*q - 5*b = 694, 2279 = 5*q - 4*b + 595. Calculate the remainder when 1357 is divided by q.
29
Let o(j) = 584*j + 7597. Calculate the remainder when 1503 is divided by o(-13).
3
Let x(i) = i**2 - 8*i - 80. Let d be x(14). Suppose 3*n = 4*r - 418 - 177, 0 = -d*r - 2*n + 610. Calculate the remainder when r is divided by 38.
37
Calculate the remainder when 417 is divided by (-130)/8*(-272)/34 - -10.
137
Let z = 2377 - 2148. Calculate the remainder when 491 is divided by z.
33
Suppose 0 = -4*w - w + 105. Let s = -9928 + 10010. What is the remainder when s is divided by w?
19
Calculate the remainder when 149 is divided by (298/(-5))/(((-6)/4)/((-150)/(-40))).
0
Suppose -728 + 1989 = 13*g. Suppose 143 + g = 8*k. What is the remainder when 88 is divided by k?
28
Let c = -34 + 36. Suppose 23 = 3*k + 2*j, -c*k - k - 3*j + 18 = 0. What is the remainder when 7/70*0 - -9*7 is divided by k?
8
Suppose 3*k - 106 = 4*r, -320*r - 136 = -3*k - 322*r. What is the remainder when 1635 is divided by k?
39
Suppose 27 - 707 = -4*d. Suppose -3*t = 2*h - 101, -79*h = -73*h - 4*t - 264. What is the remainder when d is divided by h?
32
Suppose -2*o - 48 = -3*t, -3*t + 48 = 15*o - 14*o. Suppose 2*u = -0*m - 2*m + 60, m - 30 = -4*u. Calculate the remainder when m is divided by t.
14
Let j = -65 + 478. Suppose 32*c - 48 = 29*c. What is the remainder when j is divided by c?
13
Suppose 607 = 6*c - 905. Suppose 3*g - 5*t = 25 + 178, -4*g = -2*t - c. Suppose 7*p - 352 - g = 0. Calculate the remainder when p is divided by 15.
14
Suppose 0 = 6*n - 2*n - 68. Let m be ((-5)/(30/12))/((-4)/(-110)). Let s = m + 60. Calculate the remainder when n is divided by s.
2
Let l(w) = -w**2 + 14*w - 7. Let v be l(13). Let m(a) = 10 + v*a + a - 8. Calculate the remainder when 45 is divided by m(2).
13
Suppose -5*l + 2*b = -426, 0 = -12*l + 15*l + 2*b - 262. Calculate the remainder when l is divided by 37.
12
Let k be -2*(3/(-4))/(78/33436). Let q = k + -315. What is the remainder when q is divided by 47?
46
Let b(v) = v**3 + 8*v**2 + 3*v + 26. Let w be b(-8). Suppose 2*o - w*g = 198, 0 = -o + 5*g + 71 + 40. What is the remainder when o is divided by 7?
5
Suppose 0 = 12*o + 8*o - 880. Let f(i) = 4*i + 52. What is the remainder when o is divided by f(-9)?
12
Calculate the remainder when 517 + -11 + 10 + -3 + 4 is divided by 264.
253
Let f(z) = -2*z**3 + 4*z**2 + 6*z - 14. Let t be f(3). Suppose -r + 23 = 3. Let b = r - t. Calculate the remainder when b is divided by 7.
6
Let v = 77 + -73. Let t = v - -75. Suppose t - 679 = -5*r - 5*l, -l = -2. Calculate the remainder when r is divided by 15.
13
Suppose 111*g - 78*g = 693. What is the remainder when 73 is divided by g?
10
Let d = -508 + 496. Suppose r = 64 + 33. Calculate the remainder when r is divided by (-540)/(-16) - d/(-16).
31
Let b = -3364 - -3998. What is the remainder when b is divided by 13?
10
Suppose -65 = -8*k + 55. Suppose 2*u - 3*u + 5 = -5*c, 3*u = 3*c + k. What is the remainder when 58 is divided by u?
3
Let k = 30150 - 29827. Calculate the remainder when 1353 is divided by k.
61
Suppose 4*j - 3 = 3*i + 18, 5*j - 2*i = 21. Suppose -2*m = -u - 435, 6*m - j*m - 4*u - 660 = 0. What is the remainder when m is divided by 60?
36
Let q be ((-15048)/60)/((-12)/40). Let l = q + -807. Calculate the remainder when l is divided by 4.
1
Let m be (9 - -1)/((-4)/112*-4). Let n = -68 + m. Suppose -n*f - 63 = -3*z - 5*f, -z + 5 = 5*f. Calculate the remainder when 72 is divided by z.
22
Let i = 466 - 464. Suppose 88 - 138 = -i*u. What is the remainder when 3*(74/3)/1 is divided by u?
24
Let i = -297 + 372. What is the remainder when 5023 is divided by i?
73
Suppose -24*x - 4*x - 220 + 276 = 0. Suppose s + r + 4 = 2*s, s + r = -4. Suppose x*w + 0*w - 54 = s. What is the remainder when 188 is divided by w?
26
Let p = 4342 + -2351. Suppose p = -22*j + 5687. Suppose 5*l - 4*q - 55 = 180, 144 = 3*l - 3*q. Calculate the remainder when j is divided by l.
39
Calculate the remainder when 275 is divided by 447/3 + -80 + 70.
136
Let l(s) = -s**3 + 11*s**2 + 9*s - 2. Let r be ((-27)/(-15))/((-63)/(-210)). Calculate the remainder when l(r) is divided by 60.
52
Suppose 24*r + 5777 = 7433. Calculate the remainder when r is divided by 38.
31
Suppose -534 = -5*j - y, 2 = -y + 1. Let n be (-2 - 36/(-15)) +