Suppose -4*c + 828 = -99*b + 103*b, -237 = -c + 5*b. What is the remainder when c is divided by 9?
5
Let c = -74 + 144. Let t = c + 84. Calculate the remainder when t is divided by (1 + 6 - -4) + 1.
10
Let s be (69/46)/(6/212). Let c = 82 - s. Calculate the remainder when 112 is divided by c.
25
Let g be -3*(3 - 1)*(-165)/6. Let i = -157 + g. What is the remainder when i is divided by 3?
2
Let f = 4 + 4. Suppose -y = 5*b - 64, -2*b + 0*y - y = -28. Suppose -b = -u - 3*u. What is the remainder when f is divided by u?
2
Let h(t) = -4*t + 52. Let v be h(12). Suppose 4*o - v = 72. What is the remainder when o is divided by 12?
7
Let b(h) = h**2 + 36*h + 60. Let y be b(-36). What is the remainder when 10250/y - (-3)/18 is divided by 43?
42
Suppose 68950 = 3325*k - 3290*k. What is the remainder when k is divided by 335?
295
Let l = 17472 + -10097. What is the remainder when l is divided by 119?
116
Let x(a) = 2*a**2 + 12*a - 4. Let m(q) = 2*q**2 + 2*q - 8. Let j be m(-3). Suppose -31 = 5*i + j. What is the remainder when 19 is divided by x(i)?
9
Suppose -34364 + 39104 = 57*n - 67992. Calculate the remainder when n is divided by 44.
0
Suppose 0 = 3*n + 174 + 357. Let u = -168 - n. Let w(v) = 3*v**2 - 6*v + 2. What is the remainder when w(4) is divided by u?
8
What is the remainder when (-87346)/(-35) + ((-30)/(-25))/(-2) is divided by 39?
38
Suppose 7*m - 3460 = 2*m - 1215. What is the remainder when m is divided by 41?
39
Suppose -6*g + 16 = -14. Suppose g = -12*t + 17*t. Suppose 3*n = -t + 88. What is the remainder when n is divided by 9?
2
Suppose -3*k - 882 = -10*k. Suppose 58 = 4*b + 2*y, -49*b + 2*y - 10 = -50*b. What is the remainder when k is divided by b?
14
Suppose 0 = 20*t + 7*t - 54. Let s(v) = 8*v - 3. Calculate the remainder when 74 is divided by s(t).
9
Let f be ((-80)/30)/((-4)/6). Suppose -28*a - f = -29*a. Suppose 11 = d + 5*q, 4*d - 5*d = 4*q - 9. Calculate the remainder when a is divided by d.
0
Let z(j) = -j**2 - 41*j - 34. Let u be z(-38). Suppose u*m - 89*m = -270. What is the remainder when 118 is divided by m?
28
Let a = 69 + 160. What is the remainder when a is divided by (52/8)/((-1)/30*-5)?
34
Let o(y) = -3*y**3 - 16*y**2 - 4*y + 8. Let m be o(-5). Suppose 5*p + 59 + 325 = 2*w, -3*w + 576 = m*p. Calculate the remainder when w is divided by 14.
10
Let t be (-10)/20*(-3 + -1). Suppose 0 = 2*r + t*r - 28. Let q = -21 + 32. What is the remainder when q is divided by r?
4
Calculate the remainder when 465 is divided by (-11)/(-2) - 861/(-246).
6
Suppose 5*z - 17 = 3. Suppose -z*r = 84 + 44. Let h = r + 59. Calculate the remainder when h is divided by 16.
11
What is the remainder when 854 is divided by (-12 + (-189)/(-14))*(224/3)/4?
14
Suppose -22*x - 20 = -45*x + 22*x. Let o(l) = -4*l**3 - 4*l**2 + 4. What is the remainder when o(-3) is divided by x?
16
Calculate the remainder when 816 is divided by (-56)/70*-10 + 42.
16
Let o = -184 + -76. Let q = o + 309. What is the remainder when 141 is divided by q?
43
Suppose 66*d + 4*f = 61*d + 1303, -4*d = -3*f - 1061. What is the remainder when 1283 is divided by d?
231
Suppose -2*n - 94*r + 92*r = -2164, 3*r + 2139 = 2*n. Let o = n - 1033. Let u = 279 + -196. What is the remainder when u is divided by o?
39
Let n = -30 - -46. Let m be ((-102)/15)/((-1)/(-5)). Calculate the remainder when (-2)/((-2)/(-3)) - m is divided by n.
15
Suppose -1163*x + 140 = -1153*x. What is the remainder when 5638 is divided by x?
10
Let n(w) be the first derivative of w**2/2 + 14*w + 73. Suppose v = 5*r + 39, r - 16 + 229 = 4*v. What is the remainder when v is divided by n(-3)?
10
Let o(s) = -12*s. Suppose 5*y + 15 = 0, -5*y = 3*g - y + 168. Let f = g + 68. Calculate the remainder when o(-5) is divided by f.
12
Let o = 7120 + -7042. Calculate the remainder when 1104 is divided by o.
12
Let w(l) = -l**3 - 3*l**2 - 3*l - 6. Let r be w(-3). Let u(m) be the second derivative of m**3/2 - m**2 - m. What is the remainder when 27 is divided by u(r)?
6
Suppose 5*k - 473 = -3*w + 1004, -2*w + 301 = k. Suppose -11*o = 17*o - 32*o + 296. Calculate the remainder when k is divided by o.
71
What is the remainder when 496 is divided by (-2 - -6) + 3/(-8) + 50274/432?
16
Suppose 4*a + u - 96 = 0, -3*u + 1 = 13. Suppose -3*i + a = -35. Let y = 30 - i. What is the remainder when 33 is divided by y?
3
Let t(o) = 15*o**2 + 109*o - 722. What is the remainder when t(7) is divided by 207?
155
Suppose -3*x + 428 = r, -3*x - 2194 = -2*r - 3*r. Calculate the remainder when r is divided by 21.
17
Let q(m) = -15*m + 76. Let v be q(-7). Suppose 131 = 26*c - v. What is the remainder when 82 is divided by c?
10
Let f be ((-2 + 2)/(12 + -9))/1. Suppose f = -20*p + 12*p + 2608. Calculate the remainder when p is divided by 11.
7
Let i(f) = -f**3 - 4*f**2 - f - 40. Let a be i(0). Calculate the remainder when (-1 + 2)*185 - 2 is divided by 8 + (a/(-8) - -33).
45
Suppose -473 = -4*k + l, 5*k - l - 239 = 3*k. What is the remainder when 811 is divided by k?
109
Suppose -47*w + 79*w + 2162 + 878 = 0. Let u be (-4)/(1*(-1)/26). Let k = w + u. Calculate the remainder when 44 is divided by k.
8
Suppose 385*d = 381*d. Suppose 588 = 5*l - 2*o, 21*l - 20*l - o - 117 = d. What is the remainder when l is divided by 8?
6
Let m = 2310 + -2025. Calculate the remainder when m is divided by 278.
7
Let t = -64 + 46. Let u be (-3)/(t/(-24)) + (-6)/(-1). Calculate the remainder when 478/6 + u/(-4 - -10) is divided by 28.
24
Suppose 11*s - 7*s - 5 = 5*a, 0 = -3*a + 5*s - 16. Suppose -3*p = 3*i - i - 114, -5*p - a*i = -190. What is the remainder when p is divided by 32?
6
Suppose -r + 9 = -4*r, p + 2*r - 21 = 0. Calculate the remainder when 30/(-3) + (-2 - -66 - 6) is divided by p.
21
Suppose -3*v = -0*v - n - 58, 4*n + 52 = 2*v. Let z be (-4)/(4/10 - 16/30). Calculate the remainder when z*(-3 - 13*(-2)/4) is divided by v.
15
Let d(y) = -70*y - 728. Let n(a) = -2*a**2 + 4*a - 3. Let j be n(-4). Let b = j - -89. Calculate the remainder when d(-12) is divided by b.
36
Suppose 0 = -47*h + 52*h + 675. Let b be -3*1 + (-296)/(-2). Let q = b + h. What is the remainder when q is divided by 4?
2
Let l be 1/(-3) + 64/3. Let x = l + -9. What is the remainder when ((-6)/7 - 128/(-280)) + (-5336)/(-115) is divided by x?
10
Let f be (-10044)/(-21) - 4 - (-10)/(-35). Let j = f + -243. What is the remainder when j is divided by 26?
23
Let c = -29445 - -29467. Calculate the remainder when c is divided by 22.
0
Let y(i) be the second derivative of -i**5/20 - 5*i**4/4 - i**3 - 35*i**2/2 - 11*i - 2. What is the remainder when y(-15) is divided by 15?
10
Suppose -5*w + 108 = -2*w. Suppose -5*h + 70 = 2*l + 3*l, -2*h + w = -2*l. Let p(o) = o**2 - 16*o + 16. Calculate the remainder when 77 is divided by p(h).
13
Let b = 1846 + -1270. Let o = b - 458. Calculate the remainder when o is divided by 11.
8
Let d = -78 + 161. Suppose 4*z + m - 443 = 0, -5*z + 401 = 5*m - 149. Let y = 132 - z. Calculate the remainder when d is divided by y.
20
Let s(b) = -b**2 + 26*b + 41. Let i be s(10). Let l = i + -181. Calculate the remainder when 212 is divided by l.
12
Let f(b) = -b**3 + 59*b + 21. Calculate the remainder when 3964 is divided by f(-8).
60
Suppose -12*y - 2938 = -3250. What is the remainder when 112 is divided by y?
8
Let h(a) = -26*a**2 - 118*a - 13. What is the remainder when 655 is divided by h(-4)?
10
Let k = 134 - 80. Suppose 20*z - k = 46. Calculate the remainder when 14 is divided by z.
4
Suppose 14 = a - 0. Let n = 272 - -567. What is the remainder when n is divided by a?
13
Suppose 19*y = 18 + 39. What is the remainder when ((-17)/2)/(2/(-12)) is divided by (y/(-1)*1)/((-7)/63)?
24
Let y = 136 + -201. Let n = -14 - y. Suppose -n = -j - 4*h, -h + 50 = j + 4*h. What is the remainder when j is divided by 7?
6
Let a = -5570 - -6586. What is the remainder when a is divided by 11?
4
Let b(r) = -312*r - 1374. Calculate the remainder when 388 is divided by b(-5).
16
Let b = 126 - 106. Let c = b - 4. Suppose 140 = 4*m - 108. What is the remainder when m is divided by c?
14
Calculate the remainder when (325/15 + -6)*75 is divided by 84.
83
Suppose 23*m + 1980 = -21. Let n = -66 - m. Suppose 3*k = -4*u + 114, -3*u = -2*k + 20 + 56. What is the remainder when k is divided by n?
17
Let u