0 = 0. Suppose -v = -0*g - 2*g, 5*z + 10 = g. Let m(j) = -17*j**3 + 4*j + 5. What is the remainder when m(z) is divided by 7?
4
Suppose -6*n = -76 - 20. Let h = -2667 - -2714. What is the remainder when h is divided by n?
15
Let d(v) = -786*v**3 - v**2 + 61*v + 63. Calculate the remainder when d(-1) is divided by 44.
39
Suppose -24*l = -158*l + 5*l + 69273. What is the remainder when l is divided by 141?
114
Suppose -12*k + 93 = 5*u, -38*k - 3*u = -36*k - 35. What is the remainder when 4451 is divided by k?
3
Let s = -143 + 97. Let p = s + 205. Calculate the remainder when p is divided by 40.
39
Suppose -4*y = f - 11, 6*y - y - f = 25. Let c be -7*1 + 2 + -8 + 16. Suppose -c*h + 47 = -h - 5*r, -h - 3*r = y. What is the remainder when 18 is divided by h?
7
Let j(r) = -r**3 + 54*r**2 - 107*r + 1760. Calculate the remainder when j(52) is divided by 530.
14
Suppose 86*a = 88*a, a = 4*o - 2556. Let g = o - 564. Let v = 66 + -40. Calculate the remainder when g is divided by v.
23
Calculate the remainder when 10029 is divided by -153*(696/756 + (-56)/49).
33
Let q(z) = 24 + 8*z - 72 + 0*z - 45*z. Calculate the remainder when 251 is divided by q(-3).
62
Let w = -64 - -80. Let r(o) = 2*o**3 - 33*o**2 + 18*o - 33. Let c be r(w). Let d(q) = -57*q - 8. Calculate the remainder when d(c) is divided by 8.
1
Let b(k) = -1515*k - 1272. What is the remainder when b(-1) is divided by 39?
9
Let b = -33974 + 61908. Calculate the remainder when b is divided by 185.
184
Suppose 3*w = -3*t + 693, 3*w - 1058 + 367 = -5*t. What is the remainder when w is divided by 84?
64
What is the remainder when ((-119)/(-357))/(2/23586) is divided by 207?
205
Let m = -1686 + 1720. Suppose u - 16 = 2. Suppose -u = -4*f + 10. What is the remainder when m is divided by f?
6
Let k(m) = m**3 - 2*m**2 - 19*m + 66. What is the remainder when 407 is divided by k(5)?
39
Suppose -3*h - 26 = -4*m, -8*m - 43 = 4*h - 5*m. Calculate the remainder when (-1825)/(-20) + 6/8 is divided by (76/(-14))/(h/35).
16
Let t be 3 + 4/28*7. Suppose 33*b - 777 = -t*b. What is the remainder when 164 is divided by b?
17
Suppose 2*m - 40 = 224*k - 225*k, -2*m + 56 = 3*k. What is the remainder when 270 is divided by m?
14
Let r(x) = -3*x**2 - 3*x + 3. Let n be r(-2). Let h be (5 - 42/12)*(-14)/n. Suppose -3*i = -h*i + 104. What is the remainder when i is divided by 16?
10
Let b(y) = 5*y**2 + 357*y - 128. What is the remainder when 483 is divided by b(-72)?
43
Let x = -10 + 15. Suppose -4*h + 3*j + 523 = 0, -x*h + 677 = j + 3*j. What is the remainder when h is divided by 17/(4/8 + (-10)/(-20))?
14
Let w = 22009 + -21918. What is the remainder when 1661 is divided by w?
23
Let a be (7/21)/(4/2088). Suppose -18*s - 12 = -a. Calculate the remainder when s is divided by 6.
3
Suppose 322*w + 1227 = 336*w - 2735. What is the remainder when 849 is divided by w?
0
What is the remainder when 146 is divided by 1320/132 + (-66)/(-2)?
17
Let r = 216 + -147. Let b(h) = h**3 + 4*h**2 - 4*h - 14. Let p be b(-3). Suppose -p*f = -3*f - 36. Calculate the remainder when r is divided by f.
6
Suppose 0 = 3*l - 4*w - 9397, -146*l + 142*l - 2*w = -12500. What is the remainder when l is divided by 1039?
10
Suppose 2*z + 28 = 3*q + z, -5*q - 2*z + 32 = 0. Suppose -3*b + 11 = -2*d, -17 = 7*d - q*d - 3*b. What is the remainder when 7 is divided by d?
1
Let v(l) be the first derivative of 2*l**3/3 - 4*l**2 - 5*l - 12. Let r = 65 + -59. Calculate the remainder when 74 is divided by v(r).
17
Let r = 156 + -125. Suppose 2*l - 5*h = r, -3*h = 3*l - 31 - 47. Suppose 3*g + 176 = 7*g. Calculate the remainder when g is divided by l.
21
What is the remainder when 18398 is divided by 2/(-6) - (542/(-6) + -2)?
90
Suppose -4*s + 109 = -o, 7 = -5*o + 2. Let f(m) = 27*m**3 - 2*m**2 + 3*m - 1. What is the remainder when f(2) is divided by s?
24
Let l be 3 - ((-52)/(-2) + 2). Let c be (2*1)/((-5)/(-1))*l. Calculate the remainder when (-792)/(-30) - (-4)/c is divided by 14.
12
Let g = 1748 - 1709. Calculate the remainder when 388 is divided by g.
37
Suppose -42 = -c - 8. Calculate the remainder when c is divided by 4/18*(-630)/(-20).
6
Calculate the remainder when (88242/(-99))/(3 - (-40)/(-12)) is divided by 13.
9
Suppose -12*h = -16*h + 4. Let p(g) = 27*g**2 - 3*g + 1. Calculate the remainder when p(h) is divided by 14*((-25)/10 - -3).
4
Suppose 87*g - 54*g = -28*g + 1830. Calculate the remainder when 189 is divided by g.
9
What is the remainder when (5/(-3))/((-186)/55800) is divided by 24?
20
What is the remainder when 2605 is divided by (-4)/(-12) - (3/(-2) + 1630/(-60))?
24
Let g(n) = 58*n - 4. Suppose 172*a + 16 = 173*a. What is the remainder when g(1) is divided by a?
6
Let d be -9*10*(-4 + 290/75). Suppose -d*z = -13*z + 124. What is the remainder when z is divided by 18?
16
Let j = -569 + 2297. Suppose 0 = -17*k + j - 589. Calculate the remainder when k is divided by 19.
10
Let u = 194 - -457. Suppose 4*g = -5*z + 351 + 306, 2*g = -5*z + u. What is the remainder when z is divided by 870/40 - 2/(-8)?
19
Let y = 24 + -14. Let a(t) = -2*t**2 + 44*t + 31. Let f be a(23). What is the remainder when (-112)/(-20) + f/25 - -13 is divided by y?
8
Let c = -111 + 139. Suppose 1 = c*y - 27*y, 0 = -3*q + 5*y + 856. Calculate the remainder when q is divided by 48.
47
Suppose -47 = -6*f - 5. Suppose -2*k - z + 14 = 0, -k + 2*z + f = -3*z. Let t = 62 - k. What is the remainder when 216 is divided by t?
51
Let a(t) = 8*t**2 - 56*t + 54. What is the remainder when 57 is divided by a(1)?
3
Suppose -5 = h, 0 = -4*d - 3*h + 1010 - 145. Suppose b = 6*b - d. Suppose -5*a + 170 = 5*y, -a + 0*y + y + b = 0. What is the remainder when a is divided by 8?
7
Let r(g) = 33*g + 2. Let z = -51656 + 51680. What is the remainder when r(2) is divided by z?
20
Suppose 4131 = 3*d - 2*g + 3556, -3*d + 5*g + 578 = 0. Calculate the remainder when 445 is divided by d.
63
Suppose 2*w - 3*c + 3 = 0, -4*w + 1 = -9*w + c. Let m(l) = -85*l - 3. Let o be m(-1). Suppose w = -j - 65 + o. What is the remainder when 83 is divided by j?
15
Let w be (-15)/(-7) - (-3 - -11)/56. Suppose w*c = 5*h - 4, 8*c = 9*c - 5*h + 12. Calculate the remainder when 30 is divided by c.
6
Suppose -8181 - 8405 = -75*j + 9739. Calculate the remainder when j is divided by 46.
29
Suppose 3*l - 59 = -r + 607, 222 = l - 5*r. Let q = l - 29. Suppose 9*d + q = 1120. What is the remainder when d is divided by 35?
33
Let h be ((-6)/(-8) + 616/(-32))*4. Let k = h + 84. Suppose -5 = -3*z + k. What is the remainder when z is divided by 4?
1
Suppose -3*l + 567 - 39 = 0. Let v = l - 153. What is the remainder when 297 is divided by v?
21
Suppose 133*y + 547 = 138*y + 4*x, 12 = 4*x. Calculate the remainder when 162 is divided by y.
55
Let a be (8/12)/((-2)/(-3)). Let v be a*((-6)/(-3) - -2). Suppose -v*p + 50 = 5*u + p, 4*u + 3*p - 38 = 0. What is the remainder when 30 is divided by u?
6
Let s = -16807 - -17030. Calculate the remainder when 719 is divided by s.
50
Suppose -2*r + 8*t = -218, -4*r + 371 = -r - t. What is the remainder when 478 is divided by r?
103
Let o = 150 + -146. Suppose -5*q + o*z = -0*z - 214, -12 = -3*z. Calculate the remainder when 87 is divided by q.
41
Suppose -1146 = -3*u - 39. Suppose 3*m + 1892 = 7*m. Suppose m = 4*s + a, 3*s - u = -a + 5*a. What is the remainder when s is divided by 30?
29
Let p be 4 + -345 - (-2 + -3). Let j = 349 + p. Calculate the remainder when 48 is divided by j.
9
Let j(g) = -8*g + 3. Let f(i) = -6*i + 129. Suppose -b - 5*x + 0 = 10, 62 = 5*b - 3*x. What is the remainder when f(b) is divided by j(-4)?
34
Let o(m) be the second derivative of m**5/20 - 5*m**4/6 + 13*m**3/6 - 21*m**2 - 151*m. Calculate the remainder when o(10) is divided by 23.
19
Suppose o + 8 = 3*o - t, -3*t + 26 = 4*o. Suppose 218 + 0 = 2*n. Calculate the remainder when n is divided by o.
4
Let f(g) = -12*g - 8. Let c(w) = 155*w**2 - 17*w + 16. What is the remainder when c(1) is divided by f(-7)?
2
Let n be 2796/15 + 15/((-225)/6). Let b = 215 - n. Calculate the remainder when b is divided by 0 + (-2)/2 - -17.
13
Let a(u) = u**3 + 23*u - 27. What is the remainder when a(5) is divided by 89?
35
Let c(b) = 30*b**2 - 14*b + 68. What is the remainder when 995 is divided by c(4)?
11
Calculate the remainder when (207 