mainder when 153 is divided by x.
9
Suppose -22*x = 2502 - 3052. Calculate the remainder when 3498 is divided by x.
23
Let d = 0 - -35. Suppose 0 + 19 = l. Suppose 0 = 4*r + l*r - 92. What is the remainder when d is divided by r?
3
Let b(n) = 52*n + 161. Let y be b(-3). Suppose y = -5*i, 19*i + 139 = p + 18*i. Calculate the remainder when p is divided by 13.
8
Let z(a) = 148*a**2 + 21*a + 22. Let s be z(-1). Let l = s + -120. Calculate the remainder when l is divided by 20.
9
Suppose 8*u = 9*u - 4, m - u = 5. What is the remainder when 193 is divided by 4/6*m*52/8?
37
Let i = -7331 + 7753. What is the remainder when i is divided by 115?
77
Let n be 2 + (288/(-60) - (-8)/10). Calculate the remainder when 103 is divided by n + 2 + -4 - -32.
19
Let x be (90/(-36))/((-5)/8). Suppose x*y - 45 = 31. What is the remainder when 37 is divided by y?
18
Let g(c) = c - 33. Let x be g(-23). Let m = 61 + x. What is the remainder when 53 is divided by (m + -3 + -3)*-9?
8
Let w be (-2)/30 - (1156/15)/(-1). Suppose 2*s - 6*s + 252 = 0. Let t = w - s. What is the remainder when 81 is divided by t?
11
Let l be 5/5*202 + 2. Let b be l/85*(-50)/(-4). Calculate the remainder when b + (2/(-1) - 1) is divided by 14.
13
Suppose 0 = s - 5*y - 59, 0 = -12*s + 7*s + 4*y + 190. Calculate the remainder when 742 is divided by s.
28
Let h(s) be the second derivative of -s**4/12 - 3*s**3/2 - 9*s**2/2 - 7286*s. Let q be 1 - (0 + 0) - 8. Calculate the remainder when 37 is divided by h(q).
2
Suppose -4*q - 20 + 60 = 0. Let d(a) = -3*a**2 - 95*a - 9. Calculate the remainder when d(-31) is divided by q.
3
Let f be 1/((-1)/2 + 1). Suppose 5*w - 2*j = 7, -f*j = -4*j + 8. Calculate the remainder when (-1)/((-92)/44 + 2) is divided by w.
2
Suppose 5*z - 30 = -3*w, -w + 5*z = -3*w + 25. Suppose -48 = -w*i - 8. Suppose -4 + 500 = i*t. What is the remainder when t is divided by 21?
20
Let v = 562 + -563. Let l(c) = -167*c - 30. What is the remainder when l(v) is divided by 20?
17
Let l be -14*(-112 - -1) - 3. Suppose 38*p + l = 71*p. Calculate the remainder when 280 is divided by p.
45
Suppose 4*w - 50 + 4 = q, -5*q = 4*w + 182. Let i = q - -65. Calculate the remainder when ((-4)/(-8))/((-1)/(-212)) is divided by i.
25
What is the remainder when 2540 is divided by 5*(0 + -1)*(-5313)/805?
32
Let g be 4 - 3 - (0 + -2). Suppose 0 = 2*l - 4*m - 680, 2*m + 4 = g*m. Suppose 4*o = 8*o - l. Calculate the remainder when o is divided by 11.
10
Let s be ((-48)/(-10))/(6*1/(-20)). Calculate the remainder when 469/8 + 3 - 6/s is divided by 30.
2
Let c(v) = 2*v**3 + 14*v**2 - 4*v + 14. Let y = -595 - -606. What is the remainder when c(-7) is divided by y?
9
Suppose 55*w + 8948 - 21163 = 21060. What is the remainder when w is divided by 112?
45
Let m(i) = -2*i**2 - 27*i - 37. Suppose -3*f + 2*j = -0*j + 29, 5*j = -f - 21. Calculate the remainder when m(f) is divided by 5.
3
Let b = 3 - 2. Let y(l) = -8*l**3 + 47*l**2 - 28*l - 17. Calculate the remainder when 44 + (1 - (b + -2)) is divided by y(5).
10
Let n be (0 + 1)*-2 + 3 + 1. What is the remainder when -2 - -2 - (-72)/3 is divided by 140/50*5/n?
3
Let j be (566/6)/(((-96)/(-12))/24). Let v = j - -92. Calculate the remainder when v is divided by 42.
39
Calculate the remainder when 206/927 - 10/(-36) - (-2779)/2 is divided by 173.
6
Suppose 32*b + 108 = 38*b. Suppose 8*m - b*m + 40 = 0. Suppose m*r - 2*o = 226, 8*r - 3*r + 4*o = 276. What is the remainder when r is divided by 19?
18
Let y be (-84)/154 - 1044/22. Let u = y - -59. What is the remainder when 38 is divided by u?
5
Let q(h) = h**3 - 22*h**2 + 79*h + 143. What is the remainder when q(19) is divided by 178?
27
Let o(f) = -7*f - 43. Let r be o(-7). Suppose r*a - 347 = 2*a + 5*z, 89 = a + z. Suppose -a = -2*w - 0. Calculate the remainder when w is divided by 23.
21
Let k be 6 + 282/(-6)*-1. Suppose 0*h - 3*a - k = -2*h, 3 = a. What is the remainder when 55 is divided by h?
24
Suppose -12 = -7*a + 4*a. Suppose -4*o = i - 182, 2*i = -a*o + 168 + 12. Suppose 4*t = -6*t + 80. Calculate the remainder when o is divided by t.
6
Let t be 7/(84/80) + (-1)/(-3). Suppose -t*w - 54 = 2*w. What is the remainder when 47 is divided by 20/w*(1 + -4)?
7
Suppose -3124 = -14*p + 9*p - 2*z, -628 = -p - 2*z. Suppose 6*j - 18*j + p = 0. Calculate the remainder when j is divided by (9*1)/(3/9).
25
Let t = 111 + -109. Suppose r - 47 = 34. What is the remainder when r is divided by (-15 - -36) + (3 - t - 1)?
18
Suppose -w + 88 + 69 = 0. Let i be -1*2 - (-3 - (-3 + 6)). Suppose 5*v - 28 = -5*j + 122, 0 = 4*v - i*j - 136. Calculate the remainder when w is divided by v.
29
Let i(g) = 12*g - 203. Calculate the remainder when 241 is divided by i(23).
22
Let z = 27 + 23. Let h = 2058 - 2053. Suppose 4*j = 3*l - 85, l + h*j - z = 2*j. What is the remainder when 174 is divided by l?
34
Suppose 5*s = -v + 3*v + 7132, -3*s - 5*v = -4304. Calculate the remainder when s is divided by 55.
53
Let r = -11319 - -11335. Calculate the remainder when 4734 is divided by r.
14
Suppose 173*y - 46*y = -95*y + 49284. Calculate the remainder when y is divided by 69.
15
Let x(y) = 141*y**2 - 169*y - 20. What is the remainder when x(4) is divided by 98?
90
Suppose r = 2 - 3. Let i = -79472 - -79479. What is the remainder when i is divided by (-4)/(-1)*r/(-2)?
1
Let u = -3 - -13. Suppose -j - 4*l = -29, -5*l + 54 + 1 = 2*j. Calculate the remainder when j is divided by u.
5
Let j(i) = -6*i**3 + i**2 + 2*i - 1. Let x be j(-2). Let t be (27 - -1)*((-708)/590)/(6/(-10)). Let q = t - x. Calculate the remainder when q is divided by 4.
1
Let r be ((-9)/18)/(1/8). Let k(n) = -3*n - 8. Calculate the remainder when 15*((-20)/(-12) + -1) is divided by k(r).
2
Let g(q) = -6*q**3 + 2*q + 59 + 5*q**3 + 0*q**3. What is the remainder when g(0) is divided by ((-8)/(-10))/((112/120)/14)?
11
Suppose -414 = 2012*n - 2035*n. Let x = -6 + 10. Suppose 0 = -j + 2*j - x. What is the remainder when n is divided by j?
2
Let n = 11037 - -1887. Calculate the remainder when n is divided by 32.
28
Let w be (-1)/2*(-4 - -4) + 2. Let q(y) = 11*y**2 - 5*y + 16. What is the remainder when q(w) is divided by 9?
5
Suppose 29*f - 3267 = 2794. What is the remainder when f is divided by 56?
41
Let d(i) = 105*i**2 + 188*i + 722. What is the remainder when d(-4) is divided by 329?
5
Suppose 3*b = b + 74. Let w(g) = -23*g - 115. Let r be w(-35). Suppose 0 = -r*u + 689*u + 108. Calculate the remainder when u is divided by b.
34
Suppose -5*k = 2*k. Suppose 5*f - 4*f - 5*q - 10 = k, 0 = -5*f + q + 122. What is the remainder when 90 is divided by f?
15
Let z = 529 - 332. Let n = z + -158. What is the remainder when n is divided by 14?
11
Let q(w) = w**3 + 3*w**2 + 11*w + 10. Let d be q(-5). Calculate the remainder when 379 is divided by (33/(-6))/(d/(-50) - 2).
49
Let c(u) = -51*u - 407. Calculate the remainder when c(-13) is divided by (-3*2)/(3/(-26)).
48
Suppose 5*k + w - 1050 = 0, 0 = 5*k - 0*w - 2*w - 1035. What is the remainder when k is divided by 88?
33
Suppose -2*q = -2*w - 60, 0*w - w = -5*q + 162. Let z = q + -20. Suppose -7*t + 904 = 659. What is the remainder when t is divided by z?
9
Let g be ((-114)/133)/(6/(-28)). Suppose -45 = -b + 4*t, -b - 4*b + 153 = g*t. What is the remainder when b is divided by 12?
9
Suppose 0 = -5*m + 2*b + 6976, 1385 = m + 36*b - 33*b. What is the remainder when m is divided by 197?
15
Suppose -x = -5*h - 2, -2*h - 6 = -3*x - 3*h. Let j be ((-9)/6)/(x/72). Let s = 74 + j. What is the remainder when 79 is divided by s?
19
Suppose -5*o + 4*c + 2647 = 0, 186*o + 6*c - 2567 = 181*o. What is the remainder when 1055 is divided by o?
9
Suppose -62 = -2*q - 3*v, 0*v = -4*q + 4*v + 104. Suppose 3*z + 110 = -181. What is the remainder when -12 - z - 2/1 is divided by q?
27
Let c(j) = -j**3 + 2*j**2 - 6*j + 78. Let t be c(0). Let k = 220 - t. What is the remainder when k is divided by 45?
7
Suppose 329 - 2156 = -7*r. Let d = 527 - r. Calculate the remainder when d is divided by 27.
23
Let l = 810 - 808. Suppose 0 = -5*m + 20, -l*h - h + 3*m + 102 = 0. What is the remainder when 225 is divided by h?
35
Let x = -467 + 464. What is the remainder when x/(-12) - (-5 - 470/8) is divided by 24?
16
Let n(i) = 827*i - 6563. What is the remainder when n(10) is divid