is divided by 7?
5
Let j = 69163 + -69149. Suppose 0 = -3*s - 3*k + 145 + 155, -2*k + 8 = 0. What is the remainder when s is divided by j?
12
Suppose -21*j + 16*j + 4*a + 1146 = 0, 2*a + 924 = 4*j. Calculate the remainder when 338 is divided by j.
104
Let f(g) = 32*g - 316. Let n be f(10). Suppose 0 = -5*s - 5*y + 30, 7*y - n*y + 7 = 2*s. What is the remainder when (5 + -1)/(-2) + 10 is divided by s?
3
Suppose 4*t = -o - 4, 0 = 2*t + 6 - 4. Suppose o = -3*q + 24 - 18. What is the remainder when 5 is divided by q?
1
Let b = -1030 - -1042. Suppose -3*t - 2*z = -304, -3*z - 12 = -0*z. Calculate the remainder when t is divided by b.
8
Let o = -176 - -207. Suppose -7*h + o = -18. Suppose -5*v - 2*f = -0*f - 228, f + 231 = 5*v. Calculate the remainder when v is divided by h.
4
Let d(s) = 12*s - 447. What is the remainder when 2065 is divided by d(38)?
4
Calculate the remainder when (27/(-9) - -1140 - -3) + (-40)/5 is divided by 77.
54
Suppose 4*f - 210 = -2*q, 5*f = 68*q - 69*q + 255. Calculate the remainder when 644 is divided by f.
44
Let x(g) = -g**3 + 7*g**2 + 10*g - 14. Suppose -20*w + 5 = -15*w. Let c(i) = 10*i - 2. Let r be c(w). Calculate the remainder when 17 is divided by x(r).
1
Let q be (-1 - 20)/((-75)/(-10) - 6). Let d(p) = -5*p - 46. What is the remainder when 117 is divided by d(q)?
21
Let z(r) = -3*r + 2. Let u(k) = -2*k + 6. Let a be u(3). Let x be z(a). Suppose 32 = x*o - 0. Calculate the remainder when o is divided by 6.
4
Let a(u) = u**3 + 55*u**2 - 137*u - 1221. What is the remainder when a(-57) is divided by 5?
0
Calculate the remainder when 3742 is divided by ((-64)/(-18))/(242/1089).
14
Suppose 5201 = -40*l - 31*l + 14431. What is the remainder when 363 is divided by l?
103
Suppose -4*j + 5*b = -35, 2 = b + 5. Suppose 0 = -28*h + 32*h - 2*d - 4, -1 = h - d. What is the remainder when -20*(10/(-4))/j is divided by h?
1
Let j = 45 - -740. Let h = j + -444. Let i = h - 129. Calculate the remainder when i is divided by 54.
50
Let r(t) = -t**3 - 7*t**2 + t - 2. Suppose 63 = -5*d + 23. Suppose 0 = -10*x - 19*x + 203. Calculate the remainder when r(d) is divided by x.
5
Let a be 2/12 - (-4016)/96. Suppose -a = -146*y + 143*y. What is the remainder when 153 is divided by y?
13
Let t be (-6)/(-12)*-6*-1. Suppose -2*f = t*f - 5, g - 4*f = 43. Calculate the remainder when g is divided by 16.
15
Suppose 0 = -2*q - 2*j - 47 + 2871, 3*j = 2*q - 2834. Calculate the remainder when q is divided by 27.
10
Suppose -135*v + 218*v = 1660. What is the remainder when 175 is divided by v?
15
Suppose 0 = 3*q - 377 + 65. Let c = -2411 - -2465. Calculate the remainder when q is divided by c.
50
Let f(x) = 2*x**2 + 56*x + 180. Calculate the remainder when f(-27) is divided by 15.
6
Let y(w) = -74*w - 803. Calculate the remainder when y(-13) is divided by 67.
25
Let f = -30378 - -30918. What is the remainder when f is divided by 100?
40
Let s = -1 - -5. Suppose s*r - 2*r + 160 = 4*g, 39 = g - r. Suppose 3*h + g - 59 = 0. Calculate the remainder when 57 is divided by h.
3
Let u = 8832 + -8203. What is the remainder when u is divided by 50?
29
Let z be (-60)/(-15)*(-21)/(-2). Let y be ((-3 - -4)*21)/(-1). Let x = z + y. What is the remainder when x is divided by 4?
1
Let p be -6 + (10 - 3) + 1*3. Suppose -4*h + 16 = -2*y, 3*h = -3*y - h - p. Let g = y + 31. Calculate the remainder when 79 is divided by g.
25
Let s = 2 - 2. Let i = 5 + s. Let w = -489 + 505. What is the remainder when w is divided by i?
1
Suppose 36*i - 28*i - 968 = 0. Calculate the remainder when 1812 is divided by i.
118
Let z(w) = -38*w - 132. What is the remainder when z(-6) is divided by 20?
16
Let t(g) = 104*g + 1157. Calculate the remainder when 234 is divided by t(-10).
0
Let n = -11 - -16. Suppose 9 = -2*w - n. Calculate the remainder when 129 is divided by (-108)/(w + 4) + -3.
30
Let k(w) = -6*w**3 + w**2 + 2*w + 2. Let j = 18 + -20. Let d be k(j). Suppose 3*f + 8 - d = 0. Calculate the remainder when 53 is divided by f.
11
Let p(f) be the first derivative of 7*f**3 + 15*f**2/2 + 12*f - 41. What is the remainder when 303 is divided by p(-1)?
15
Let z be ((-30)/(-75))/(4/10)*7. Let j = z - -83. Calculate the remainder when j is divided by 47.
43
Let h be (-2)/9 + (-4 - (-518)/63). What is the remainder when 65 is divided by 266/(-95)*(-1 - h)?
9
What is the remainder when (-4 - 34/(-7)) + 297513/189 is divided by 58?
9
Let k(w) = w**3 - 10*w**2 + 6*w + 43. Let m be k(9). What is the remainder when m/72 - (-14284)/36 is divided by 31?
25
Let r(n) = -2*n**3 - 67*n**2 + 36*n + 76. Let x = -82 + 84. What is the remainder when r(-34) is divided by x?
0
Let k = 5508 - 3898. What is the remainder when k is divided by 13?
11
Suppose -11*n - 579 = 1269. What is the remainder when (-234)/(6 - n/(-27)) is divided by 96?
93
Let s be 266/35 - 6/10. Let w = 22 + s. Calculate the remainder when w is divided by 12.
5
Let r = 5020 + 2540. Let j(b) = b**2 - b + 165. Let t be j(0). Calculate the remainder when r/t - (-2)/11 is divided by 10.
6
Let x = -16 + 19. Suppose -f = -5*a + 45, -f - x*a - 45 - 8 = 0. What is the remainder when 52 is divided by 375/f*(-24)/10?
16
Suppose -3*p - 3*x = -10668, 23*p + 14229 = 27*p + 5*x. Calculate the remainder when p is divided by 11.
9
Let a = -20298 - -20368. Calculate the remainder when 3288 is divided by a.
68
Suppose 118*n - 73*n = 39285. What is the remainder when n is divided by 36?
9
Let h(j) = j**3 - 14*j**2 + 2*j - 19. Let b be h(14). Let z(u) = -7*u + b - 2 + 0*u. What is the remainder when 67 is divided by z(-4)?
32
Let c(i) = 13*i + 18. Let f be c(7). Let a = f - 96. Let y(o) = o**3 - 3*o**2 - 3*o + 1. Calculate the remainder when y(5) is divided by a.
10
Calculate the remainder when ((-8)/(72/(-63)) - 45)*-13 is divided by 9.
8
Suppose -7*z = 2*z - 1296. What is the remainder when ((-75)/4)/((-54)/z) is divided by 20?
10
Let k = 10 + 49. Let y = 78 - k. Suppose 0 = -3*r - 2*f - 0*f + 22, -5*f - 40 = -2*r. What is the remainder when y is divided by r?
9
Suppose -976*q - 63540 = -1329*q. Let c = 14 - -81. Calculate the remainder when q is divided by c.
85
Suppose 0 = -10*o + 95 + 5. Suppose -3*n - 2*p - 128 = 0, 5*n + 109 + 71 = 5*p. Calculate the remainder when (-1992)/n - (-2)/o is divided by 13.
11
What is the remainder when -21 + (-7749)/(-14) - (-1 + 6/4) is divided by 141?
109
Let x be (-15)/(-20)*(0 - (-12)/9). What is the remainder when x - 1/(-1)*142 is divided by (6/(-8))/(-1 - (-62)/64)?
23
Let r = 254 - 219. Suppose p + r = 2*u, -6*u + 10*u - 45 = -3*p. Calculate the remainder when u is divided by 7.
1
Suppose -2 - 14 = 16*w. Let t be (-2)/6 + 362/6 + w. Suppose 0 = 58*a - t*a + 45. Calculate the remainder when 89 is divided by a.
44
Suppose 389*f - 338*f - 45747 = 0. What is the remainder when f is divided by 45?
42
Let u be (-7)/(14/5 + -3). Let q = -1 + 5. Suppose -u = -z - q. What is the remainder when 58 is divided by z?
27
Let a be -2*5/((-20)/16). Let f = 202 - -142. Suppose -32 = a*b - f. Calculate the remainder when b is divided by 10.
9
Suppose 70*a - 74*a = -184. Let f = 172 - a. Calculate the remainder when f is divided by (-222)/(-5) - 2/5.
38
Suppose -148 = -5*k + 6*n + 1796, -2*n = 18. What is the remainder when k is divided by 109?
51
Suppose 32*a + 181640 = -55*a + 978299. What is the remainder when a is divided by 43?
41
Let l(k) = -16*k - 12*k - 5*k + 3 + 42*k. Let w be l(-3). Let u(x) = x**2 + 23*x - 13. Calculate the remainder when u(w) is divided by 5.
1
Suppose 5*z = -39 + 284. Let b(o) = 32*o + 3043. What is the remainder when z is divided by b(-94)?
14
Suppose -90*b - 36*b + 24*b + 338742 = 0. Calculate the remainder when b is divided by 65.
6
Let m be 155 + 3 + (-2 - 0). Suppose m = 2*p + 2*p. What is the remainder when (-2)/104*8 + 1497/13 is divided by p?
37
Let a = -177 - -366. Suppose 4*k - 40 = -12*p + 16*p, 0 = 3*k + 3*p - 60. Calculate the remainder when a is divided by k.
9
Let j(b) = 2*b**2 + 2*b - 2. Let n be j(-2). Let f(m) = 45*m**3 + m**2 + m + 1. Let o be f(-1). Let u = n - o. What is the remainder when u is divided by 10?
6
Let s(l) = l + 40. Let i be s(-15). Let x = 37 - i. Suppose -3*t + 0*j - 5*j + 7 = 0, x = 4*t + 4*j. What is the remainder when 25 is divided by t?
1
Suppose 15 = 5*n, 3*i 