 + -162. What is the remainder when n is divided by 7?
4
Let t(l) = -l**2 + 13*l + 7. Let d(w) = -4*w - 19. Let a be d(-7). Suppose -27 = -k - 2*k. Calculate the remainder when t(a) is divided by k.
7
Suppose -4*x + 7 = 5*z, z = 2*z + 1. What is the remainder when (-3 + 3)/4 + 12/((-228)/(-589)) is divided by x?
1
Let k(f) = 6*f**2 - 4*f**2 - 99 + f**2 + 5*f**2 - 6*f**2 - 11*f. What is the remainder when k(16) is divided by 41?
32
Let b be (217/21)/(6/36). Suppose -5*x + 172 = b. Let l(w) = w + 76. What is the remainder when l(0) is divided by x?
10
Calculate the remainder when 285 is divided by (-110)/100 + 4/(-10) - 597/(-6).
89
Let m(y) = -y**3 + 12*y**2 + 17*y + 13. Suppose i + 39 = 4*i. Let a be m(i). Let n = 144 - a. What is the remainder when n is divided by 9?
7
Let z(d) = 241*d + 1744. Calculate the remainder when 314 is divided by z(-7).
29
Suppose p = -5*m - 43 - 62, p - 5*m + 85 = 0. Let r = p + 88. Let j(y) = -10*y - 26. Calculate the remainder when j(r) is divided by 6.
2
Let y(p) = 5*p + 9. Let l = -40 - -45. Let r be y(l). Suppose 0 = -4*x + r + 42. What is the remainder when 75 is divided by x?
18
Calculate the remainder when (-1)/(-3) + -11 + (10 - 752/(-12)) is divided by 24.
14
Let p(t) = 37*t + 5252. Calculate the remainder when 977 is divided by p(-116).
17
Let d = 137 + -98. Let j = 102 - d. Calculate the remainder when 187 is divided by j.
61
Let f be ((2 - -214) + -1)*1. Suppose 43 + f = 6*q. Suppose -k - 27 = -q. What is the remainder when 56 is divided by k?
8
Suppose 6*b + 187 = 247. Suppose 870 = b*g - 4*g. What is the remainder when g is divided by 49?
47
Let m = -172 + 339. Let j = 310 - m. What is the remainder when j is divided by 21?
17
Suppose 34*w + 45 = 31*w. Let a(n) = n**2 + 7*n - 3. Let z be a(w). Suppose -319 = -2*q - z. Calculate the remainder when q is divided by 27.
20
Let w(y) = 6*y**2 - 4*y + 9. Let c be w(-3). Suppose -j - 61 = -c. What is the remainder when 109 is divided by j?
11
Suppose 0*o + 11 = o + 4*j, -63 = -4*o + 3*j. Suppose 55*p - 59*p + 400 = 0. Suppose -6*m + p = -134. Calculate the remainder when m is divided by o.
9
Let n be ((-8)/12)/((-4)/804). Suppose 0 = -7*h + 20 + n. Suppose 2*c - 161 - 9 = 2*p, -3*c + 239 = 5*p. What is the remainder when c is divided by h?
17
Let b(f) = -f**2 + 7*f + 41. Let j be b(-4). What is the remainder when (1/j)/((-7)/1512) is divided by 16?
8
Let u be (-1 - -5)/((-4)/(-8)). Let x(l) = -l**2 + 8*l - 3. Let m be x(u). Calculate the remainder when 37 is divided by (-16)/(-24) - 37/m.
11
Suppose -3*n - 5*z + 9828 = 0, n = -51*z + 53*z + 3254. What is the remainder when n is divided by 43?
41
Let r = -33 + 91. Suppose 0 = -15*u + 487 - 1297. Let c = r + u. Calculate the remainder when 16 is divided by c.
0
Let f = 8420 + -6568. What is the remainder when f is divided by 265?
262
Let i = -2743 + 4129. Suppose 9*o - i - 279 = 0. Calculate the remainder when o is divided by 35.
10
Let z = 637 - 594. Let v(y) = -2*y**3 + 20*y**2 + y - 7. Let u be v(10). What is the remainder when z is divided by (2*3)/u - (-2 - 7)?
10
Suppose -27*w + 9*w = -108. What is the remainder when 50 is divided by w?
2
Suppose -2*v + 4*r = 810, -409 = 11*v - 10*v + 2*r. Let h = -402 - v. Suppose 0*b = 3*b - 129. What is the remainder when b is divided by h?
3
Suppose 4*h + 12 = 8*h, 4*r + 16 = -4*h. Calculate the remainder when (3 + r)*(-7)/2 is divided by 9.
5
Let b = -6392 + 6650. What is the remainder when 521 is divided by b?
5
Let o = 10 + -8. Suppose 2*c = -o + 8. Suppose -3*y + 90 = 4*p - 6*y, c*p + 4*y = 80. Calculate the remainder when 69 is divided by p.
21
Let r(f) = 1029*f - 4078. What is the remainder when 783 is divided by r(4)?
23
Calculate the remainder when (-8)/12*(-688 - 9/((-117)/(-26))) is divided by 94.
84
Let m = 177 - 177. What is the remainder when (m + -8 - -16) + 19 is divided by 0 + (-1)/((-2)/20)?
7
Let u = -36 - -1072. Suppose -13*q + 27*q = -u. Let s = q - -95. What is the remainder when 39 is divided by s?
18
Let m(y) = 2*y**2 - 21*y + 28. Let q be m(10). Suppose -q*r + 0*r = -1062. What is the remainder when 199 is divided by r?
22
Let i(x) = -42*x - 64. Calculate the remainder when 212 is divided by i(-5).
66
Let b = 9386 + -9135. What is the remainder when b is divided by 87?
77
Let t(y) = 6*y**2 - y. Let r be t(1). Suppose r*c - 133 = -3*p, 2*c + 2*p = -0*p + 50. Let a = -19904 + 19956. What is the remainder when a is divided by c?
23
Let h(q) = 163*q**2 + 29*q - 1. Calculate the remainder when h(-2) is divided by 104.
73
Suppose -2*f + 2 = 0, 0 = 5*d + 447*f - 445*f - 107. Calculate the remainder when 11190 is divided by d.
18
Let m(x) = x**3 + 13*x**2 + 6*x + 9. Calculate the remainder when m(-10) is divided by 56.
25
Let j = -16 - -18. What is the remainder when (-153)/(-11) - (-66)/726 is divided by j?
0
Suppose 6 = -4*p - 2*u, 4*u - 8 = -p - 2*p. What is the remainder when 149 is divided by ((-4)/6)/((-940)/234 - p)?
32
Let j be -3*3/((-36)/20). Suppose j*s - 637 = -4*v, v - 597 = -3*v + 3*s. What is the remainder when v is divided by 31?
29
Let f = 10217 + -10160. What is the remainder when f is divided by -1*(18 + -1)*-1?
6
Let s = 4 - 1. Let z(a) = -a**3 - 5*a**2 - 6*a + 10. Calculate the remainder when z(-4) is divided by (-72)/(-27) + 1/s.
0
Let u(i) = i**3 + 14*i**2 + 15*i + 26. Let x be u(-13). Suppose -2*v + 161 + 443 = x. What is the remainder when v is divided by 19?
17
Let b(a) = -a**3 + 10*a**2 - 14*a + 15. Suppose -60 = 226*l - 238*l. Calculate the remainder when 627 is divided by b(l).
67
Let o = -23 - -15. Let w(h) = -11*h - 15. Let f(s) = -s**2 + 14*s - 8. Calculate the remainder when w(o) is divided by f(9).
36
Suppose -3*r - 15*r = -10*r - 880. Calculate the remainder when 431 is divided by r.
101
Suppose -45*q = -206 - 1819. Calculate the remainder when 265 is divided by q.
40
Let i(k) = 2*k**3 - k**2 - 4. Suppose 0 = -23*j + 85*j + 30*j - 1564. What is the remainder when i(3) is divided by j?
7
Let x(l) = 2*l + 156. What is the remainder when x(7) is divided by 2332/52 + 4/26?
35
Let y(b) = -60*b**2 - 1. Let u be y(-1). Let j(f) = f**3 + 6*f**2 + 13*f + 32. Let o be j(-6). Let s = o - u. Calculate the remainder when 52 is divided by s.
7
Let s(a) = a**2 - a + 7. Let m be (-88)/(-12) + (12/(-9) - -2). Let g be s(m). Let v = 106 - g. What is the remainder when v is divided by 8?
3
Let d be ((-42)/(-4))/(2/4 + 0). Suppose 10*o = 7*o - d. Let g(l) = -l**3 - 7*l**2 - 2*l - 3. What is the remainder when 30 is divided by g(o)?
8
Let a = 233 + -221. Suppose 10*k + 42 = a*k. Calculate the remainder when 4/(-12)*249/(-1) is divided by k.
20
Suppose -2*g = -3*r + 78, -5*r + 8*g - 9*g = -104. Let c be (33/6 - 2)*8. Suppose -2*o = 2*o - c. What is the remainder when r is divided by o?
1
Let t be 20/90 + (-232)/(-9). Suppose 22*j - 20*j = t. Suppose 0 = 6*f - 9*f + 147. Calculate the remainder when f is divided by j.
10
Let i(w) = 81*w**3 - 2*w**2 + 34*w - 30. Calculate the remainder when 578 is divided by i(1).
80
Let u = -11212 + 11676. What is the remainder when u is divided by 66?
2
What is the remainder when (-12)/42 - (-2412)/63 is divided by 30?
8
Let x = 64 + -59. Suppose 0 = -7*o + 118 + 8. Suppose 8*w - 2 = 13*w - 3*p, w + 4*p = o. Calculate the remainder when x is divided by w.
1
Suppose 110166 = -61678*p + 61699*p. Calculate the remainder when p is divided by 32.
30
Let v = 21 - 3. Suppose 5*o = 17 + v. Suppose 0 = -3*w + 5*s + 37, w = 5*s - 1. Calculate the remainder when w is divided by o.
5
Let w(z) = z**2 - 4*z - 17. Let o(m) = 3*m + 7. Let g(x) = 10*x + 21. Let i(p) = 2*g(p) - 7*o(p). Calculate the remainder when i(-22) is divided by w(7).
3
Suppose -4*f = f - 50. Suppose f*y = 5*y + 70. Calculate the remainder when y is divided by 1 - ((-40)/25 + 4/(-10)).
2
Suppose 425*h - 426*h + 883 = 0. Suppose -4*m + 10*s = 8*s - 706, -3*s = -5*m + h. What is the remainder when m is divided by 48?
32
Let p(j) = -j**3 - 9*j**2 - 12*j - 20. What is the remainder when 2020/40*(-4)/(-1) is divided by p(-8)?
10
Let d = 6037 + -6007. Calculate the remainder when 4524 is divided by d.
24
Suppose -n + 2*w + 7 = 3*w, -5*n = 3*w - 39. Suppose 6*c + n*c = 825. Calculate the remainder when 383 is divided by c.
53
Let b be 72/(-7) + (-18)/(