pose 4*d + 96 = -0*d. Let k = 170 + d. Calculate the remainder when k is divided by 30.
26
Suppose y - 4704 = -20*y. Calculate the remainder when y is divided by 39.
29
Let w(b) = -b + 23. Let f be w(10). Let s(z) = z + 13. Let q be s(-6). Suppose -4*c + q = -f. Calculate the remainder when c is divided by 3.
2
Let n(i) = i**3 - 6*i**2 + 3*i - 7. Suppose -u = 4*v - 27, -v + 3*u - 3 = -0*v. What is the remainder when ((-30)/(-7))/((-5)/(-35)) is divided by n(v)?
8
Suppose 3*y - 2*y = 5. Suppose 0 = -3*w - 5*x + 2, -2*w - x - 28 = -y*x. What is the remainder when (2 + -6)/(w/30) is divided by 7?
6
Let m(c) = 171*c - 9. Let p = 12 + -11. Calculate the remainder when m(p) is divided by 55.
52
Let f(y) be the second derivative of -2*y**3/3 - y**2/2 + 3*y. What is the remainder when 18 is divided by f(-2)?
4
Suppose 457 - 157 = 4*u. Calculate the remainder when u is divided by 6.
3
Let y(z) = z**3 - 4. Let u be y(2). Suppose 3*b = -u*b. Suppose 4*a = j + 18 + 9, b = -3*a - j + 15. What is the remainder when 33 is divided by a?
3
Let x = -17 + 22. Calculate the remainder when (2 - (-5)/x) + 129 + 2 is divided by 34.
32
Suppose 0 = 48*l - 42*l - 42. Let d(t) = 3*t**2 - 18*t + 6. What is the remainder when d(l) is divided by 15?
12
Suppose 5*f - 15 - 85 = 0. Calculate the remainder when f is divided by 12.
8
Suppose 0 = -48*k + 42*k + 882. Calculate the remainder when k is divided by 15.
12
What is the remainder when 242 is divided by (-1)/(-1 - (-3 - -5))*237?
5
Suppose -4*n + 0 + 4 = -4*l, -3*l = 4*n - 25. Suppose 0 = 2*w + l*w + 5. What is the remainder when 43 is divided by 23 - (-3 - w)/(-2)?
21
Suppose -3*s + 3*z + 27 = 0, 0 = 5*s - z - 3*z - 40. Suppose 2*r = r + s*h + 53, 0 = -3*r + 2*h + 139. Calculate the remainder when r is divided by 17.
11
Let x(y) = -2*y**3 + 31*y**2 + 17*y + 65. What is the remainder when x(16) is divided by 36?
9
Let w = -67 + 19. Let l = w + 90. Suppose l = v - 5*m, 2*v + 14 = m + 98. What is the remainder when v is divided by 22?
20
Suppose -3*x - d + 912 = 0, 62*x - 65*x = -3*d - 900. What is the remainder when x is divided by 34?
31
Let s(p) = -3*p - 16. Let o be s(8). Let x = o + 42. What is the remainder when 3 is divided by x?
1
Suppose -26*x + 21*x = -10. Let u(j) = 12*j**2 - 1. What is the remainder when u(-1) is divided by x + (3 - 1/(-1))?
5
Suppose 0 = -2*j + 5*v + 29, 0 = -2*j + 3*j + 5*v + 23. Calculate the remainder when 28 is divided by j.
0
Let u be 696/14 - (-4)/14. Let b = -34 + u. What is the remainder when 30 is divided by b?
14
Let b(i) = 7*i - 12. Let z be b(8). Let s = 66 - z. Suppose v = 3*y - v - 186, -4*y - 2*v + 262 = 0. Calculate the remainder when y is divided by s.
20
Suppose -5*t = 3*d - 21, 2*t + 5*d = 22 - 6. Let f = t - 1. Suppose -158 = -4*g - f*h, 33 = -5*g - 3*h + 230. Calculate the remainder when g is divided by 21.
19
Let j(v) = 3*v**2 - 5*v - 5. Let b be j(6). Suppose -4*d + 19 = -b. Calculate the remainder when d is divided by 6.
5
Let z(h) = -66*h - 270. Calculate the remainder when z(-5) is divided by 9.
6
Let p(w) = -w**3 - 2*w**2 - 3*w - 4. Let b be 1 + -3 - (5 + -5). What is the remainder when 5 is divided by p(b)?
1
Suppose -m + 15*v - 20*v + 33 = 0, -v + 56 = 4*m. Calculate the remainder when 80 is divided by m.
2
Suppose a = 6*a - 25. Suppose 4*k + a - 21 = 0, -4*s + 4*k + 464 = 0. What is the remainder when s is divided by 41?
38
Let r = 16 - 17. What is the remainder when ((-4 - 5) + -2)*r is divided by 2?
1
Suppose 4*t - m - 52 = 0, 2*m = -3*m + 20. Suppose 7*o - t*o = -105. Calculate the remainder when 27 is divided by o.
12
Suppose 2*m + 80 = -124. Suppose -2*r + 149 = -14*a + 11*a, -4*r + 110 = -2*a. Let k = a - m. Calculate the remainder when k is divided by 28.
27
Let c(i) = i**3 + 2*i**2 - 8*i - 15. What is the remainder when c(5) is divided by 69?
51
Let h(b) = -b**2 + 25*b - 35. What is the remainder when h(21) is divided by 40?
9
Let f = -288 - -295. Calculate the remainder when 754 is divided by f.
5
Suppose 4*j + 136 = 3*c + c, 2*c - 136 = 4*j. Let a = 19 - j. Suppose -20*z + 137 + 83 = 0. What is the remainder when a is divided by z?
9
Suppose 3*x = -5*g + x + 35, -33 = -2*g + 3*x. Calculate the remainder when 52 is divided by g.
7
Suppose -50 = -5*x + 85. Let g = 43 - x. Suppose -2*b - 3*f + f + 116 = 0, -3*f + 114 = 2*b. What is the remainder when b is divided by g?
12
Suppose -c + 6*c + k - 152 = 0, 4*c - 112 = -4*k. What is the remainder when 648 is divided by c?
28
Let q(i) = -2*i + 1. Let n be q(-1). Let y(v) = 4*v**2 - 6*v - 2. What is the remainder when 46 is divided by y(n)?
14
Let q = 1 + 5. Suppose -7*i - 36 + 71 = 0. Suppose q = -i*w + 31. What is the remainder when w is divided by 4?
1
Let d(w) = 4*w - 2 - 13*w + 4*w**2 - 3*w**2 + 3. Let o be d(5). Calculate the remainder when o/(2 + (2 - 5)) is divided by 7.
5
Let d = -243 - 216. Calculate the remainder when 149 is divided by (-7)/28 + d/(-12).
35
Let b(k) = -2*k**3 - k + 2. Let g be -2 + (-2 - -2) - 26/(-13). Suppose -4*z + 21 + 123 = g. Calculate the remainder when z is divided by b(-2).
16
Let u(z) = -5*z - 4. What is the remainder when u(-1) is divided by -1 - (-4 - (-4 + 2))?
0
Suppose 47 = g + 2*s - 4*s, -158 = -4*g + 2*s. Suppose 75*j = 78*j - 30. Calculate the remainder when g is divided by j.
7
Suppose 2*q - 1400 = -4*n, 4*q - 30*n - 2770 = -32*n. Calculate the remainder when q is divided by 11.
8
Let v = 12 - 7. Let h(n) be the first derivative of -n**2/2 + 18*n + 1. Calculate the remainder when h(0) is divided by v.
3
Let r = 14 - 46. Let f = r + 129. Suppose 4*l - 5 = 4*k - f, 0 = -4*k - 5*l + 101. What is the remainder when k is divided by 5?
4
Let f(p) = 43*p + 21. What is the remainder when f(2) is divided by 12?
11
Let t(i) = -i**2 - 39*i - 85. What is the remainder when t(-34) is divided by 45?
40
Let b be 4 - 237/(-3) - 3. Let y = b + -60. What is the remainder when 31 is divided by y?
11
Suppose 7*w - 690 + 375 = 0. Calculate the remainder when w is divided by 7.
3
Let q = 137 - 79. Let u be -14 - 2*(-6)/4. Let z = 31 + u. What is the remainder when q is divided by z?
18
Let d(c) = c**2 + 11*c + 12. What is the remainder when 103 is divided by d(-13)?
27
Let p(f) = 4*f**2 + 2*f - 2. Suppose -39*b + 2574 = -26*b. What is the remainder when b is divided by p(3)?
38
Let c(d) = -10*d - 7*d**2 + 6*d**2 - 20 + 16. Calculate the remainder when c(-5) is divided by 11.
10
Suppose 0 = 2*t + 2*t + 5*c + 31, -t - 1 = -c. Calculate the remainder when t/(-12)*9 + 22 is divided by 10.
5
Suppose -502*n = -506*n + 184. Calculate the remainder when 312 is divided by n.
36
Let g(k) = -k**3 - 3*k**2 + 7*k - 6. Let j = 31 + -36. What is the remainder when 23 is divided by g(j)?
5
Let o(j) = -695*j - 39. Calculate the remainder when o(-1) is divided by 47.
45
Let q(h) = h**3 + 12*h**2 - 10*h - 9. Let p = 98 + -60. Calculate the remainder when q(-12) is divided by p.
35
Suppose 86*x - 87*x = -32. Calculate the remainder when 59 is divided by x.
27
Suppose 32 = -d + 30. What is the remainder when 321 + (d - -6) + -5 + 1 is divided by 54?
51
Let j = -361 + 968. What is the remainder when j is divided by 38?
37
Suppose -7*p - 6 = -2*f - 5*p, 0 = 4*f + 2*p + 6. Suppose -4*c + 2*j + 390 = -f*c, 3*j + 300 = 3*c. What is the remainder when c is divided by 8?
7
Let g(p) = 17*p**2 - p - 1. Suppose -5*x + 3*w - 20 = 0, -3*w - 2*w = -3*x - 28. Suppose -96 = -18*l + 66. What is the remainder when g(x) is divided by l?
8
Suppose 126 = 3*h - 3*p, -33 - 1 = -h - p. Let j(m) = -10*m. Let u(f) = f + 8. Let r be u(-10). What is the remainder when h is divided by j(r)?
18
Suppose 3*g - 4*g + 8 = 0. Let f be (-2)/g + (-2625)/(-20). Suppose 0*p = 4*p - 5*w - f, -3*p + 106 = 4*w. Calculate the remainder when p is divided by 18.
16
Let k = 7 + 12. Calculate the remainder when k is divided by -16 - (-5 - (-153)/(-9)).
1
Let f = -34 - -41. Suppose 0 = 9*o - f*o - 10. Suppose 0 = -h + 4*t + 24, -5*t - 24 + 9 = 0. Calculate the remainder when h is divided by o.
2
Let d = -95 + 75. Let c = d - -38. What is the remainder when 65 is divided by c?
11
Let l(a) = 2*a**2 + a. Let p be l(1). Let u(n) = 4*n**2 + n. What is the remainder when u(p) is divided by 10 + -2 + 4/2?
9
Let m = -7 - -18. Suppose -5*b + k - m + 89 = 0, -