e the remainder when z is divided by 16.
13
Suppose 2344*j - 2348*j - 4611 = -3*w, 0 = -w - 4*j + 1505. Calculate the remainder when w is divided by 305.
4
Suppose 228 = 4*l + 4*k, 28 = 4*l - 3*k - 235. Let a = l + -66. What is the remainder when 25 is divided by ((-18)/a)/(7/14)?
7
Let s = -82 - -82. Suppose 4*j - 1388 = -s*j - 4*t, -1723 = -5*j - t. Calculate the remainder when j is divided by 29.
25
Suppose 0*d + 4 = -2*d - 4*y, -4*y = d + 6. Suppose 0 = d*r - 6 - 32. Calculate the remainder when 105 is divided by r.
10
Suppose 0 = 2*g - i - 27, 0 = 7*g - 5*g + i - 29. What is the remainder when 169 is divided by g?
1
Let x(g) = -19*g**2 + 427*g + 187. Calculate the remainder when x(21) is divided by 99.
82
Let p = -47 - -53. Let y(l) = l**3 - 5*l**2 - 15. What is the remainder when 187 is divided by y(p)?
19
Let d = -17 - -22. Suppose -5*w + 105 = -2*j, 17 = d*w + 3*j - 63. Calculate the remainder when 25 is divided by w.
6
Suppose 215*f - 211*f = 2*l - 516, -5*f + 35 = 0. What is the remainder when 555 is divided by l?
11
Let l = 69 + -49. What is the remainder when 420/11 - 22/121 is divided by l?
18
Calculate the remainder when 2740 is divided by (-9 + 10941)/12 + -21.
70
Let t(w) be the second derivative of w**4/12 + 37*w**3/6 - 51*w**2/2 - 21*w - 1. What is the remainder when t(-39) is divided by 11?
5
Let j = -53 - -77. Let c be (16/40)/(2/10). Suppose 0 = 5*r + 5*y - 310, c*y = -5*r + 322 - 12. Calculate the remainder when r is divided by j.
14
Let a(c) = c**2 - 5*c + 4. Let q be a(4). Suppose q = -2*n - 41 + 145. Calculate the remainder when 152 is divided by n.
48
Suppose -5*r - 5658 = 2*u - 6*u, 5*r - 7140 = -5*u. What is the remainder when u is divided by 57?
54
Suppose 4*m - 4*q = -64, 0 = 2*m + 3*q + 38 + 19. Let d(i) = -9*i - 3. Calculate the remainder when d(m) is divided by 17.
16
Let f(y) = 6*y - 175. What is the remainder when f(43) is divided by 2?
1
Let q(j) = 2*j**2 - 96*j + 110. Calculate the remainder when q(0) is divided by 87.
23
Let k = -1004 - -1041. Calculate the remainder when 72 - (-2 + (-12)/(-3)) is divided by k.
33
Let p(q) = -9*q + 14. Suppose -y = -2*k - 4*y - 21, -k + y - 3 = 0. Let c be p(k). Let t = -64 + c. Calculate the remainder when t is divided by 4.
0
Suppose -11*o + 16*o = 10. Let w(g) = 7*g**2 + 5*g - 6. What is the remainder when 90 is divided by w(o)?
26
Suppose 0 = -2*m - 5*h + 26, -3*h - 32 - 28 = -3*m. What is the remainder when 229405/10879 - 2/23 is divided by m?
3
Let w be (-1 + (-2)/(-1) - -2) + -1. Suppose w*j - 28 - 222 = 0. Let h = j - 83. Calculate the remainder when h is divided by 22.
20
Let w = 27 + -23. Let n be (3 - w - 5)/((-6)/(-8)). Let m(g) = g**3 + 10*g**2 + 7*g + 16. What is the remainder when m(n) is divided by 18?
16
Let x = -3373 - -3558. Let i be (-38)/(-14) + (-4)/(-14). Suppose -i*p + 188 = p. Calculate the remainder when x is divided by p.
44
Let r(v) = -v**3 + 17*v**2 - 30*v + 7. Let s be r(4). Suppose -319 = -16*x - s. Calculate the remainder when 34 is divided by x.
6
Let d(b) = b. Let m be d(15). Suppose -16*u + 4 = -m*u. Suppose u*z - 2*z - 17 = w, -2*z - 4*w + 12 = 0. Calculate the remainder when 33 is divided by z.
1
Let l(k) = k**3 + 14*k**2 + 9*k - 4. Let y be (-2)/(-3)*(1 - 0)*-6. What is the remainder when l(y) is divided by 21?
15
Let f = 17 - 8. Suppose -3*a + 5*c - 36 = 3*c, 2*c = -4*a - 48. Let x(s) = s**3 + 11*s**2 - 12*s + 16. What is the remainder when x(a) is divided by f?
7
Suppose 120*q + 1440 = 2*u + 125*q, -2*u + 5*q = -1380. What is the remainder when u is divided by 262?
181
Suppose 25 = s - 3*n, -5*n - 3 = -2*n. Let y = -10 + 11. Calculate the remainder when s is divided by 1 + 9 + (-3 - y).
4
Let y = 406 - 83. Suppose -833*w = -564*w - 14526. Calculate the remainder when y is divided by w.
53
Suppose 0 = -3*t - 2*r + 213, -t + 76 = -0*t - r. What is the remainder when 319 is divided by t?
27
Let r(z) = z**3 + 7*z**2 - z - 9. Let c be r(-7). Let d be 114/(-2) - c/(-4 + 2). What is the remainder when 3 + d/(-3 + 1) is divided by 20?
12
Let a(g) be the third derivative of 3*g**5/20 + 3*g**4/4 + g**3/3 + 64*g**2. Calculate the remainder when a(-4) is divided by 14.
4
Let u = 22 + -84. Let l = u - -65. Suppose 3*z = -l*z + 72. What is the remainder when z is divided by 4?
0
Suppose -7376 = -2*x - 2*c, 284*x - 288*x + 3*c + 14759 = 0. Calculate the remainder when x is divided by 82.
81
Let t(w) = -w**3 + 28*w**2 - 132*w + 162. What is the remainder when t(14) is divided by 20?
18
Let b be 130 + (1 + 0)/(35/70). Calculate the remainder when 11904/b - (-7)/(231/(-6)) is divided by 26.
12
Let b = 16 + 9. Suppose -480 = -7*a - a. Let m = 73 - a. What is the remainder when b is divided by m?
12
Suppose -2*n + 41 = -13. Calculate the remainder when (10/(-55))/((-6)/66)*53 is divided by n.
25
Calculate the remainder when 4304 is divided by (-66)/(-132)*(178 - 1)*(-4)/(-6).
56
Let r be (1 + 3)*(-10)/20. Let v be (7/r)/((6/(-3))/4). Suppose v*p - 13*p = -120. Calculate the remainder when p is divided by 5.
0
Let r be 80 - 4 - (5 - 4)*-1. What is the remainder when 69 is divided by (r/77)/((-1)/(-8))?
5
Let n = -13 + -35. Let m(b) = 34*b + 188. Let i be m(-5). What is the remainder when (-338)/(-4) + -4*i/n is divided by 23?
17
Let s(o) = 348*o + 2526. What is the remainder when s(-7) is divided by 62?
28
Let t = -92 - -95. Let w(s) = 0 + 2*s + 64*s**t - 65*s**3 + s**2 + 1 - 3*s**2. What is the remainder when w(-4) is divided by 11?
3
Let a(h) = -2*h**3 + 59*h**2 + 162*h + 107. What is the remainder when 566 is divided by a(32)?
53
Suppose -5*n + 3*n + 18 = 0. Let k = n - 24. What is the remainder when 53 is divided by (-3 - k) + -4 + 3?
9
Let t = 38850 + -38837. What is the remainder when 322 is divided by t?
10
Let r = 10972 + -10964. What is the remainder when 2662 is divided by r?
6
Let g = 902 + -879. Let d(k) = -k**2 + 10*k + 3. What is the remainder when g is divided by d(8)?
4
Let y(r) be the first derivative of 2*r**3 - 11*r**2 + 2*r - 134. Calculate the remainder when y(8) is divided by 33.
12
What is the remainder when 679 is divided by ((-496)/24)/(((-3)/(-12))/((-9)/4))?
121
Let z = -1204 - -1211. Calculate the remainder when 1426 is divided by z.
5
Suppose 3*s - 29 = -2*q, -856*s = 5*q - 857*s - 132. Calculate the remainder when q is divided by 14.
11
Suppose -158 = 3*p + m - 713, 0 = 3*p + 5*m - 579. Calculate the remainder when 925 is divided by p.
10
Let n be ((-474)/9)/(-2*1/6). Let z = 202 - n. Calculate the remainder when z is divided by 9.
8
Suppose -602 = -6*w + 238. Suppose -w = -2*s - 24. What is the remainder when (-144)/(-216) + 1364/6 is divided by s?
54
Suppose 0 = 2*y - 6*y + 816. Suppose 14*q = 18*q - y. Calculate the remainder when 16 is divided by -2*(1/3 + q/(-18)).
1
What is the remainder when (-3)/(15/2) + (-9853272)/(-5655) is divided by 195?
182
Let u = 325 - -178. What is the remainder when u is divided by 1 - ((0 - 10381/189) + 2/(-27))?
55
Calculate the remainder when 33319 is divided by ((-10)/(-25))/((-6)/(-2100)).
139
Let c(h) = 19*h**2 - 253*h - 149. Let n(s) = -s**3 - 4*s**2 - 5*s - 7. What is the remainder when n(-6) is divided by c(14)?
29
Let q = -2650 - -3641. Calculate the remainder when q is divided by 28.
11
Suppose 5*s + 2*m - 2215 = 0, 63*s - 1769 = 59*s - m. Calculate the remainder when s is divided by 113.
102
Suppose 0 = 2*i - 3*i + 5*t + 9, -i + t = -5. Suppose -16 = -3*r - i. Suppose -51 = -r*v + 153. Calculate the remainder when v is divided by 18.
15
Suppose 28*p = 33*p - 10, -4*d = 5*p - 42. What is the remainder when 2654 is divided by d?
6
Suppose 2*p - 264 = -2*x, -3*x + 2*p + 639 = 2*x. Let y(n) = -127*n - 3037. Calculate the remainder when x is divided by y(-24).
8
Suppose 71 = u - 90*g + 85*g, -3*g + 90 = 2*u. What is the remainder when 325 is divided by u?
19
Let g(i) = -709*i + 12829. Let p(x) = x + 6. Let m be p(0). Suppose -a = 4*y - 139, 4*y - 5*a = m*y - 47. What is the remainder when g(18) is divided by y?
31
Let l = -485 + 713. Suppose 4*n - l = 3*a, -2*n + 0*a + 114 = 4*a. Calculate the remainder when 1935 is divided by n.
54
Suppose 4*x = 10*x - 144. Suppose -20*n = -x*n + 284. Let j = -61 + n. What is the remainder when j is divided by 5?
0
Let m(g) be the third derivati