er when 31 is divided by n.
7
Let t = -115 + 144. Suppose -5*n - 7 + 62 = 4*l, 0 = n + 2*l - 5. What is the remainder when t is divided by n?
14
Suppose -d = -1 - 7. Suppose 108 - d = 5*r. Calculate the remainder when r is divided by 12.
8
Let b = 6 + -8. What is the remainder when 44 is divided by (b + 48)/((-8)/(-4))?
21
Let w(h) = -h**3 - 17*h**2 - 73*h - 8. Calculate the remainder when 127 is divided by w(-10).
17
Let y(k) = k - 3. Let w be y(3). Let a = 4175 - 4162. Calculate the remainder when a is divided by 7 + (w - -2) + -2.
6
Suppose 4 + 2 = 2*j + 3*g, 4*j = -3*g + 6. Let h be j*4/12*1. Let l = h + 6. Calculate the remainder when 21 is divided by l.
3
Let v = 528 + -170. Calculate the remainder when v is divided by 15.
13
Let z = 529 + -287. Let i(y) = y**2 + 9*y + 27. What is the remainder when z is divided by i(-6)?
8
Let r be (0 - -2) + (-68)/(-2). Let k = -24 + r. What is the remainder when 81 is divided by k?
9
Suppose -15*h = -12*h - 42. What is the remainder when 54 is divided by h?
12
Let r(d) be the first derivative of -22*d**3/3 + d**2 - 2*d - 4. Let z(s) be the first derivative of r(s). Calculate the remainder when z(-1) is divided by 12.
10
Suppose 6*b + 2*i = 11*b - 1017, 197 = b - 2*i. What is the remainder when b is divided by 3?
1
Let l be 8 + 1 + (2 - (8 - 2)). Suppose k - 167 - 108 = -l*u, -k + 277 = 4*u. What is the remainder when k is divided by 16?
13
Suppose -22 = 4*f - 6*f. Let o = 0 + f. Let q = o - -15. What is the remainder when 49 is divided by q?
23
Suppose 4*q = -5*h + 72, 10 = 4*q + 2*h - 50. What is the remainder when 28 is divided by q?
2
Suppose 38 = -9*q + 10*q. Calculate the remainder when q is divided by 18.
2
Suppose -5*w + 3*j - 2686 = 0, 4*j + 530 = -w + j. Let z(y) = y**2 + 3*y + 1. Let l be z(-3). What is the remainder when (w/(-16))/(l/2) is divided by 14?
11
Suppose 568 = 4*d + 2*b - 4*b, 0 = d + 5*b - 131. Calculate the remainder when d is divided by 24.
21
Suppose 0 = l - 6*l + 50. Suppose 0*q = 2*q - 2*t + 188, -5*q = -t + 458. Let f = -64 - q. Calculate the remainder when f is divided by l.
7
Let m = -85 - -49. Let g = m - -49. What is the remainder when g is divided by 4?
1
What is the remainder when (-8448)/(-121) + (-2)/(-11) is divided by 68?
2
Let y be (-3 - -3) + 234/3. Suppose o = -5*o + y. What is the remainder when 36 is divided by o?
10
Let a(k) = k**3 - 6*k**2 - 9*k - 11. Let t be a(8). Suppose -5*w + t = -60. Suppose -n + w + 16 = 0. What is the remainder when n is divided by 13?
11
Let j(f) = -6*f**2 + 7. Let q(c) = -6*c**2 + 7. Let k(b) = -6*j(b) + 5*q(b). What is the remainder when k(3) is divided by 1 + 0 - (-14 + -1)?
15
Let g(k) = -23*k + 4. Let b be g(-1). Suppose 4*h - 59 = -b. What is the remainder when 29 is divided by h?
5
Let x(t) = -2*t**3 - 6*t**2 + t + 11. Let w be x(-4). What is the remainder when 112 is divided by -4 + 2 + 1 + w?
36
Let n = 50 + -30. Suppose n = -o + 5*o. Calculate the remainder when 12 is divided by o.
2
Suppose -489 = -102*u + 105*u. Let k = 227 + u. What is the remainder when k is divided by ((-4)/6)/(2/(-33))?
9
Let j(g) = -11*g. Let a(t) be the first derivative of -t**4/4 - 2*t**3/3 - t**2/2 + t - 2. What is the remainder when j(-1) is divided by a(-2)?
2
Suppose -5 + 3 = -2*m. Let b(d) = 10*d**2 + d + 1. Let y(u) = -19*u**2 - 2*u - 1. Let i(k) = -5*b(k) - 3*y(k). What is the remainder when 11 is divided by i(m)?
5
Let d(p) = -2*p**2 - 35*p - 37. Calculate the remainder when 22 is divided by d(-16).
0
Suppose -4*d + 20 = -4*b, 4*d - 20 = -47*b + 42*b. What is the remainder when d is divided by -3 - -3 - 2/(-1)?
1
Suppose -4*h + 86 = -2*h. Let f = -26 + h. Let m = f - 12. Calculate the remainder when 12 is divided by m.
2
Let t be (6 + -4)/((-1)/(-2)). Suppose -t*d + 2*x + 342 = 0, 1 = -2*x + 3*x. Let k = -140 + 162. Calculate the remainder when d is divided by k.
20
Let i = 99 - 70. Let m = i - 8. Let x(t) = -t**2 - 34*t - 199. Calculate the remainder when x(-14) is divided by m.
18
Suppose 0 = 5*n - 215 + 40. Suppose 5*t = -3*d + 49, 109 - n = 4*d - 2*t. Suppose w - c = 1 + 2, d = 2*w + 4*c. What is the remainder when 14 is divided by w?
4
Let t be 1477/49 + 1/(-7). Suppose -12*v = -11*v + t. Let o = 10 - v. What is the remainder when o is divided by 11?
7
Let p = 6 - 4. Suppose -5*t = -0*t + p*n - 58, 0 = -2*n - 2. Let y = -47 + 94. Calculate the remainder when y is divided by t.
11
Let u(j) = -2*j**3 + 13*j**2 + 11*j - 7. Let k be u(7). Suppose 6 = -3*x + k. What is the remainder when x is divided by 1?
0
Suppose z - 32 = -2*m, -5*m + 2*m - 199 = -5*z. What is the remainder when z is divided by 35?
3
Suppose 142*v = 144*v + y - 185, -2*y = -5*v + 449. What is the remainder when v is divided by (62/(-6))/(1/(-3))?
29
Let q(i) = i**3 + 12*i**2 - 24*i + 6. Calculate the remainder when q(-9) is divided by 94.
89
Let z(b) = -13*b + 7. Let j be z(-7). Suppose 0 = -2*l + 8 + 36. What is the remainder when ((-36)/(-42))/(1/j) is divided by l?
18
What is the remainder when 91 is divided by ((-9)/6)/((-102)/2516)?
17
Let f(l) = -l + 9. Let v be f(7). Calculate the remainder when 80 - (v/4 - (-25)/(-10)) is divided by 28.
26
Let f(u) = 9*u**2 + 14*u - 73. Calculate the remainder when f(5) is divided by 32.
30
Let g = -4 + 7. Suppose 0 = d - f - 10, -4*f - 22 - 7 = -g*d. Let i = 0 - -31. What is the remainder when i is divided by d?
9
Let l = 683 + -386. Calculate the remainder when l is divided by 12.
9
Suppose -5*v = -84 - 71. Suppose -114 - 572 = -14*c. Suppose -5*m + 3*j = -c, 3*j = -4*m + j + 48. Calculate the remainder when v is divided by m.
9
Let v(x) = -x**3 + 6*x**2 - 3*x + 8. Let s be v(6). Let k = 7 + s. Let h(r) = -2*r**3 + 3*r**2 + 4*r + 7. What is the remainder when h(k) is divided by 26?
24
Let j be -1 - (1 + (-13 - 2)). Suppose j*i = 8*i - 205. Let x = -8 - i. What is the remainder when x is divided by 9?
6
Let y(k) = -k**3 + 11*k**2 - 10*k + 6. Let i be y(10). What is the remainder when -1 + i/8 + (-292)/(-16) is divided by 16/3 - (-5)/(-15)?
3
Suppose 11 = 5*y - 9. Suppose 0 = -3*g + 12, 0*g = 4*s - 2*g - 36. Suppose -6*o - 70 = -s*o. Calculate the remainder when o is divided by y.
2
Suppose -3*y + 13 = -11. Suppose 0 = -4*u + y + 256. Calculate the remainder when u is divided by 23.
20
Let f(n) = 10*n**2 - n. Calculate the remainder when 38 is divided by f(1).
2
Let n(l) = -l**3 + 57*l**2 + 57*l + 110. Calculate the remainder when 198 is divided by n(58).
42
Let t = -45 - -253. Suppose -5*m + t = 53. Calculate the remainder when m is divided by 17.
14
Let x(v) = -4*v + 3. Let p(l) be the second derivative of 3*l**3/2 - 3*l**2 + 7*l. Let u(i) = 3*p(i) + 5*x(i). What is the remainder when 98 is divided by u(4)?
23
Suppose 5*x - 3106 = 1064. Calculate the remainder when x is divided by 38.
36
Let y(l) = -152*l**3 - 2*l**2 - 2*l - 1. Let q be (-6)/(-6) - (0 + 2). Let m be y(q). Let w = m - 85. Calculate the remainder when w is divided by 17.
15
Let s = -1144 - -1152. Suppose 0*v - 87 = -3*v. Calculate the remainder when v is divided by s.
5
Suppose -4*o = u - 179, 4*o - o = -5*u + 113. What is the remainder when 56 is divided by o?
10
Let w be 1 + -1 - 3/1. Let i(c) = -7*c. What is the remainder when 125 is divided by i(w)?
20
Suppose -18*y = -275 + 41. What is the remainder when 19 is divided by y?
6
What is the remainder when (-4 + 1)*(-15 + -11) is divided by 41?
37
Let s = 23 + -13. Let t = s + 5. Calculate the remainder when (-3108)/(-56) + (-3)/(-2) is divided by t.
12
Suppose -5*z - 5*n = -6*n - 26, 2*z = -2*n + 20. Calculate the remainder when z is divided by 2.
0
Let i(b) be the first derivative of -b**2/2 + 74*b - 2. What is the remainder when i(0) is divided by 11?
8
Suppose 0 = 5*b - 30 - 25. Suppose 0 = 4*m + 5*k - b, -3*m - 5 - 13 = -5*k. What is the remainder when 9 is divided by -3*((-4)/6 + m)?
4
Let k(r) = 23*r + 172. Suppose 5*u + 4*z - 117 = 0, 3*u - 65 = -4*z + 10. What is the remainder when u is divided by k(-7)?
10
Suppose 0 = -l - 13*l + 490. What is the remainder when 61 is divided by l?
26
Let b(t) = 1 + 5*t + t**2 - 8*t + 1. Let u be b(6). Suppose 4*o = 60 + u. Calculate the remainder when o is divided by 11.
9
Suppose c = -4*o + 235, 3*c = -o - 2*o + 723. What is the remainder when c is divided by 