4)*-1.
6
Suppose -f + 2*n - 11 + 251 = 0, -3*f = 5*n - 687. Calculate the remainder when f is divided by 81.
72
Let z(f) = f**2 - f + 4. Suppose 3 = 9*w - 10*w. What is the remainder when (-188)/(-6)*3/2 is divided by z(w)?
15
Suppose 8*a - 1296 = 552. What is the remainder when a is divided by 58?
57
Suppose 5*y = 5*v + 1345, -7*y - 2*v - 1339 = -12*y. What is the remainder when y is divided by 67?
66
Suppose -132 = -2*z + 5*g, 4*z - 2*z - 2*g - 144 = 0. Suppose 5*w - z = 2*h - 3*h, 0 = -w - 3*h + 4. What is the remainder when w is divided by 11?
5
Suppose 3*w + 5*g - 6 - 20 = 0, -12 = -4*w - g. Suppose w*y - 6*y = -32. Calculate the remainder when ((-4)/y)/(2/(-372)) is divided by 24.
21
Let g(w) = -w + 29. What is the remainder when g(0) is divided by (-9)/((-108)/(-60)) + 15 + 1?
7
Let z(h) = 48*h + 51. What is the remainder when z(3) is divided by 14?
13
Let f(i) = i**2 - 6 - 6*i + 3 - 2*i + i. Let r be f(10). Suppose c + 0*c - 4*s - r = 0, 4*s + 66 = 2*c. Calculate the remainder when c is divided by 10.
9
Let h be 18/8*(-20)/(-15). Let y(f) = f**2 - f + 6. Let a be y(h). Suppose 3*q - 19 = g, -2*q + 2*g = g - a. Calculate the remainder when 26 is divided by q.
5
Suppose -2*j + 75 = j. Suppose -6*t + 67*t + 51*t - 1456 = 0. What is the remainder when j is divided by t?
12
Let v(r) = -r + 23. Let u = 50 + -48. Calculate the remainder when v(12) is divided by u.
1
Suppose 4*z - 132 - 115 = -3*o, -4*o = -3*z + 154. What is the remainder when z is divided by (-17)/((-17)/2) - -8?
8
Let b = 34 + -3. Let w = -10 + b. Calculate the remainder when 55 is divided by w + 2 + 0 - 4.
17
Suppose -5*s + 8 = -72. Suppose -2*j = -8 - s. What is the remainder when 82 is divided by j?
10
Let r = 807 - 708. What is the remainder when r is divided by 43?
13
Suppose 33*r - 95*r = -12958. Calculate the remainder when r is divided by 98.
13
Let q(t) = t**2 - t - 6. Calculate the remainder when 224/4 + 0/(5 - -2) is divided by q(6).
8
Let x = 2854 + -2532. Calculate the remainder when x is divided by 50.
22
Let t(g) be the first derivative of -9*g**2 - 10*g - 7. Calculate the remainder when 62 is divided by t(-1).
6
Suppose -2*r = 3*j - 48, -j - 10 = 4*j. Suppose 0 = 21*q - r*q + 54. Calculate the remainder when 19 is divided by q.
1
Let j(w) = -71*w - 2*w**2 + 10 + 73*w + 3*w**2. What is the remainder when 95 is divided by j(-5)?
20
Calculate the remainder when (-3860)/(-45) + 5 - 4/(-18) is divided by 39.
13
Suppose -6*r - 3*t = -2*r - 29, 5*r - t = 22. Suppose 0 = a - r*u - 23, 0 = 5*u + 7 - 2. Calculate the remainder when 67 is divided by a.
13
Let d = 264 + -254. Calculate the remainder when 78 is divided by d.
8
Let b(a) = 6*a**2 + 2. Let x be b(-3). Suppose f + 0*f = x. Suppose 4*t - 3*t - 17 = -j, j - f = -4*t. What is the remainder when 51 is divided by t?
12
Let x(y) = -y**2 + 34*y - 21. Calculate the remainder when x(13) is divided by 37.
30
Suppose 0 = 7*o - 4*o - 192. Let y = o - 32. What is the remainder when 125 is divided by y?
29
Suppose 0 = x + c - 87, -2*x + 7*x - 5*c - 485 = 0. Calculate the remainder when x is divided by 27.
11
Let p(d) = -32*d**3 + 2*d**2 - 1. Let f(l) = -l**3 - 7*l**2 - 37*l - 56. What is the remainder when p(-1) is divided by f(-3)?
14
Let r be (-2)/(-5) + 16/20*-23. Let o = -2 - r. What is the remainder when 63 is divided by o?
15
Suppose -82*d - 72372 = -119*d. Calculate the remainder when d is divided by 14.
10
Suppose 0*y + 3*y - 99 = 0. Suppose 2*g - 65*j + 60*j = 16, 16 = 4*j. Calculate the remainder when y is divided by g.
15
Let t(p) = 3*p - 24. Let a be t(10). Let q be (-55)/20*16/(-2). Suppose -a - q = -2*k. What is the remainder when 26 is divided by k?
12
Suppose -2*r - 6 = -5*v + r, 5*v - 10 = 5*r. Suppose 4*l + l = v. Suppose l*c - 93 = -3*c. What is the remainder when c is divided by 17?
14
Let f(d) = d**2 - 4*d - 6. Suppose -3*o + 6 = -o + 4*x, 5*o - 15 = -4*x. Suppose o*b - 23 - 4 = 0. Calculate the remainder when b is divided by f(6).
3
Let g be (-8)/(-44) + 8/(-44). Suppose g = -2*p + 5*z - 10 + 95, 4*z = -5*p + 163. What is the remainder when p is divided by 19?
16
Let c(l) = 6*l**2 - 29*l + 105. What is the remainder when c(6) is divided by 144?
3
Let w(v) = -3*v + 44. Let b be 5/10*(5 - 5). Calculate the remainder when w(b) is divided by 15.
14
Let a(y) = 4*y - 15. Let t be a(5). Suppose -5 + 135 = t*h. Calculate the remainder when h is divided by 7.
5
Suppose 0 = 3*p - 0 + 45. Calculate the remainder when (-1 + 3)*81/2 is divided by (1 + p)/(6/(-9)).
18
Let v be 534/(-15) + 4/(-10). Calculate the remainder when (-75)/6*-2 - -1 is divided by ((-42)/8)/(v/96).
12
Let y be ((-6)/3 - 11) + 3. Let v be 0 - y/(3/3). Suppose 4 - v = -k. What is the remainder when 9 is divided by k?
3
Let w(r) = 3*r - 28. Let y(t) = -t + 14. Let n(p) = 6*w(p) + 13*y(p). Calculate the remainder when 237 is divided by n(0).
13
Let c(a) = 3*a + 50. Let g be c(0). Let n = g - 14. What is the remainder when n is divided by 20?
16
Suppose 3*q - 37 = -l + 8*q, 0 = 4*q - 4. Suppose 3*h = 4*b + 89, 5*h - 5*b + l = 197. What is the remainder when h is divided by 9?
8
Suppose 12*a - 19 = 5. What is the remainder when (-1 - -60)/(a/(-4) + 1) is divided by 20?
18
Suppose 5*y + 274 = -4*t, 0*t + t - 107 = 2*y. Let n = -78 - y. Let o = n + 68. Calculate the remainder when o is divided by 23.
21
Suppose 6*r - 9*r = 12. Calculate the remainder when (r/((-20)/3))/((-5)/(-75)) is divided by 4.
1
Suppose 3*m + 53 = 83. Calculate the remainder when 249 is divided by m.
9
Suppose k - 136 = -7*k. What is the remainder when 116 is divided by k?
14
Suppose -g + 12 = 2*g. Suppose -3*s = -g*s + 8. What is the remainder when (-22*(-9)/(-24))/((-9)/24) is divided by s?
6
Suppose -5*z + 2*z = -48. Calculate the remainder when 36 is divided by z.
4
Suppose 2*o - 8 = -2*o + 5*a, -2*o - 10 = a. Let d(y) = -y**3 + 5*y. What is the remainder when 57 is divided by d(o)?
9
Let l = -34 + 66. Let q = 54 - l. What is the remainder when (172/(-10))/((-1)/5) is divided by q?
20
Suppose 0 = 3*m + 27 - 81. Suppose 2*u = u + m. Calculate the remainder when 4/(14*(-10)/(-2485)) is divided by u.
17
Suppose -4*v - 3*m + 57 = -110, 0 = 3*v + m - 129. Calculate the remainder when 87 is divided by v.
43
Let d = 3024 + -3003. What is the remainder when 291 is divided by d?
18
Suppose 35*a = -4*z + 33*a + 322, z = 4*a + 94. Let j(s) = 2*s**2 + 8*s - 3. Calculate the remainder when z is divided by j(-6).
19
Suppose -3*q + 22 = -20. What is the remainder when 19 is divided by q?
5
Suppose 0 = 286*d - 275*d - 176. Calculate the remainder when 252 is divided by d.
12
Let t be ((-24)/3)/(4/(-10)). Suppose 3*b = -t + 74. Let f(o) = -o**2 + o + 7. Calculate the remainder when b is divided by f(0).
4
Suppose -35 = -5*l - 5*o, 19 = 2*l - 0*o + 3*o. What is the remainder when (34/(-51))/(l/(-78)) is divided by 14?
12
Let m(l) = 4*l - 2*l + 0*l + 0*l - 12. Let n be m(5). Let z = n + 10. Calculate the remainder when 22 is divided by z.
6
Suppose -4*g = -0*g - 92. Let f = 32 - g. Let t(o) = 53*o + 269. Calculate the remainder when f is divided by t(-5).
1
Let i = -35 - -46. Let l(r) = -r**2 + 5*r + 8. Calculate the remainder when i is divided by l(6).
1
Suppose 0 = 5*x + 4*z - 1430, -3*x + 1144 = x - z. What is the remainder when x is divided by 100?
86
Let g be 152 - 5/((-25)/(-10)). Suppose k = 45 + g. Calculate the remainder when k is divided by 14.
13
Let y be 20/(-6)*(-2 + -1). Suppose 0 = -3*q - d + 50 - 7, 0 = -5*d - y. What is the remainder when 57 is divided by q?
12
What is the remainder when (-2394)/(-22) + 24/132 is divided by 96?
13
Let a be 32/(-18) + (-10)/45. Let w be 35/(-2)*(a + 0). Suppose 0*u = -5*u + w. What is the remainder when 25 is divided by u?
4
Suppose 0 = -2*o + 3*g + 518, -g = 13*o - 17*o + 1026. What is the remainder when o is divided by 36?
4
Suppose 0 = -s - 3*i, 5*i = -3*s + 4*i + 24. Calculate the remainder when 30 is divided by s.
3
Let g = -5 - -8. Suppose -33 = -g*j - 3*u, 5*j + 0*u - 2*u - 34 = 0. What is the remainder when 170/j + (-1)/4 is divided by 6?
3
Let l(t) = t**3 - t**2 - t - 6. What is the remainder when 709 is divided by l(5)?
86
Let i = -18 - -66. What is the remainder when 190 is divided by i?
46
Suppose 3*b - 2*n = 65, -140 = -5*b 