122. Let y(h) = h**2 - 12*h + 18. Calculate the remainder when y(16) is divided by f.
19
Let f be -2 - (-1*417 + -2). Suppose 759 = 7*h - f. Suppose h = 4*s + 4*s. Calculate the remainder when s is divided by 12.
9
Suppose -4*q - 4*k + 16 = 0, -4*q = k - 2*k - 36. Suppose -q*d + 75 = -5*d. What is the remainder when 99 is divided by d?
24
Suppose 21*s - 19*s + 4 = 0, 1222 = -4*u - 5*s. Let b = 320 + u. What is the remainder when 64 is divided by b?
13
Let t be (-56)/(-21) - 3 - 166/(-3). Let x = 86 - t. What is the remainder when 83 is divided by x?
21
Let z(n) be the second derivative of 29*n**4/12 - n**2/2 - 108*n. Let t = -3 + 2. Calculate the remainder when 111 is divided by z(t).
27
Let q = -3342 - -3547. What is the remainder when 429 is divided by q?
19
Suppose -5*g + 3*q + 40 = -257, 0 = 14*q + 56. Calculate the remainder when 10202 is divided by g.
56
Let f = 1214 + -1209. Calculate the remainder when 534 is divided by f.
4
Let j be (2 - -26)*((-522)/(-12) + -4). Suppose -15*t + j = -514. Calculate the remainder when t is divided by -16*6/(-4) - 2.
20
Suppose 3*c - 4*x - 25 = 0, -8 = -2*c + c + x. Suppose 0 = o, -c*j - 4*o + 108 = -3*j. Calculate the remainder when 161 is divided by j.
26
Suppose 0 = -18*q + 38016 - 37656. Suppose 2*x = -3*n - 0*n + 117, 4*n = -3*x + 157. What is the remainder when n is divided by q?
17
Let k(x) be the third derivative of x**6/120 + x**5/10 - x**4/8 - x**3 - x**2 - 6. What is the remainder when (-34)/(-1) + -1 + -2 is divided by k(-6)?
7
Let t be (-1)/(-2)*(-364)/(-26). Suppose 318 = t*i - 158. Calculate the remainder when i is divided by 2.
0
Let q = 223 - 223. Suppose 3*s + 5*j - 123 = q, 0 = 14*s - 10*s + j - 147. Calculate the remainder when 126 is divided by s.
18
Suppose l + l = 80. Let u(d) = -d**3 - 22*d**2 - d - 1. Let x be (-141)/6 + (30/4)/5. Calculate the remainder when l is divided by u(x).
19
Let d(v) = 13*v + 24. Let w be d(0). Suppose -581 - 3427 = -w*c. What is the remainder when c is divided by 42?
41
Let p(c) = c**2 + 12*c + 24. Let d be 54/(-7) + (16/(-14))/4. Let y be p(d). What is the remainder when 4*((-54)/y - -2) - 2 is divided by 9?
6
Let f be 2/(-8) - 99/36 - -13. Let m be f + (3 - (2 + -1)). Calculate the remainder when 124 is divided by 372/27 - m/(-54).
12
Let h = -139 + 148. Suppose 6*k - h = 129. Calculate the remainder when 42 is divided by k.
19
Let c(y) = -12*y + 103. Let i(p) = 3*p + 80. What is the remainder when c(0) is divided by i(-18)?
25
Let x(y) = -39*y + 838. Calculate the remainder when 391 is divided by x(18).
119
Suppose -409*f - 3042 = -415*f. Calculate the remainder when f is divided by 166.
9
Suppose 333 = 44*y - 39*y + 4*h, 5*h - 270 = -4*y. Suppose 41 + y = 4*f - 2*a, a = -3*f + 92. What is the remainder when f is divided by 8?
5
Let o be (-4)/(-14) - (-12410)/(-70). Let p = -121 - o. Calculate the remainder when p is divided by (10/6)/(1/6).
6
What is the remainder when (-22 - 644/(-28)) + 72/(-15)*(-75)/10 is divided by (-23 - 1)*(-2 - -1)?
13
Suppose 5*r - 4*d - 188 = 0, -40*d + 45*d = 5*r - 190. Calculate the remainder when 1474 is divided by r.
34
Let k = -187 + 197. Suppose -k*r = -240 - 70. What is the remainder when 70 is divided by r?
8
Suppose -w = 4*w + 75. Calculate the remainder when (-2285)/(-25) - w/25 is divided by 16.
12
Let l = 33435 + -33383. Suppose 3*t - 24 = 6*t. Calculate the remainder when l is divided by (-104)/(-6) - t/12.
16
Suppose 106 = 5*z - 92*r + 94*r, -z + r + 10 = 0. Let a = -21 + 63. What is the remainder when a is divided by z?
6
Let o = -117 - -117. Suppose 0*j - p = 2*j - 97, 3*p + 9 = o. What is the remainder when 96 is divided by j?
46
Let m(d) = -82*d - 116. Let y be m(-7). Let l = -281 + y. Calculate the remainder when l is divided by 45.
42
Let z(h) = h**3 + 8*h**2 - 11*h + 13. Calculate the remainder when 34 is divided by z(-9).
3
Let z = 140 + -44. Suppose -4*s + 2*q - 9 = -47, -25 = -3*s + 5*q. What is the remainder when z is divided by (-396)/(-30)*s/4?
30
Let m = -3806 + 3925. What is the remainder when 391 is divided by m?
34
Let q(h) = 381*h**2 + h + 2. Let n = -195 - -194. What is the remainder when q(n) is divided by 96?
94
Calculate the remainder when -2*6 - (71 + -10909) is divided by 15.
11
Let g(h) = -1881*h + 20710. What is the remainder when 1456/20 + (-1)/(-5) is divided by g(11)?
16
Suppose -f + 3*q + 71 = 0, -70 = -2*f + 2*q + 68. Suppose y + 4 = 3*y. Suppose y*u - 61 = 3*p, p = -3 - 2. What is the remainder when f is divided by u?
22
Let l = -74 + 155. Calculate the remainder when l is divided by 23 + (1 - 7 - -2).
5
Let v(x) be the second derivative of -x**5/20 - 5*x**4/12 - 5*x**3/6 - 2*x**2 - 2*x. Let b = 7550 + -7538. Calculate the remainder when v(-5) is divided by b.
9
Let v = -289 + 298. Let m(k) = k**2 - 4*k - 7. What is the remainder when m(v) is divided by 21?
17
Let l(x) = -5*x + 9. Let b be l(2). Let s be (-1)/7 - b/7 - -110. Suppose -4*a + s = a. What is the remainder when a is divided by 5?
2
Suppose -3*t = 4*i - 35, 0 = -t - 3*i + 7*i - 15. Suppose -t*r + 0 = -35. What is the remainder when 0 + (-3)/(3/(-20)) is divided by r?
6
Suppose -5*r + 76 = 3*y, -3*y + 3*r - 18 + 102 = 0. Let w = -31 + y. What is the remainder when 4 + w/(-12)*15 is divided by 3?
0
Suppose -113*i + 8799 - 1904 = -4179. What is the remainder when 19205 is divided by i?
95
What is the remainder when (-160)/360 - 10325/(-45) is divided by 73?
10
Let c(h) = 7*h**2 - 1217*h + 1087. Suppose -34 = k - 3*k. What is the remainder when c(173) is divided by k?
15
What is the remainder when 2402 is divided by (-2450)/735*9/(-6)?
2
Let p(u) be the third derivative of -17*u**4/24 - 23*u**3/6 - 10*u**2. What is the remainder when p(-6) is divided by 9?
7
Suppose 3*y - 48 = -3*b, -2*b + 4*b = -y + 20. Suppose z - 48 = -3*z. Suppose h + z = 47. Calculate the remainder when h is divided by y.
11
Let x(g) = 2*g**3 + 20*g**2 + 14*g - 13. Calculate the remainder when 366 is divided by x(-5).
32
Suppose m + 3*z = 2, 9*m - 5*z - 10 = 8*m. What is the remainder when 892 is divided by m?
2
Suppose 24*b + 3686 = 58*b - 9744. What is the remainder when 1986 is divided by b?
11
Let x = 2848 - 2750. What is the remainder when x is divided by 80?
18
Calculate the remainder when (-60606)/(-65) + 6/(-15)*1 is divided by 41.
30
Let y(w) = w**3 + 5*w**2 + 4*w - 3. Let g be y(-3). Suppose -29 = -g*q - 11. Calculate the remainder when 18 is divided by -4 - (4 - q) - -12.
8
Suppose 0 = -34*g - 266 + 28. Let m(u) be the first derivative of -2*u**2 + 19*u + 1. Calculate the remainder when m(g) is divided by 12.
11
Let o be (4 - (-11)/(-2))*(2 + 0). Calculate the remainder when 128 is divided by 17 - ((-24)/72 + (-16)/o).
8
Suppose -6*g + 365 = -g. Suppose 36*q - 1244 = -344. What is the remainder when g is divided by q?
23
Let w(r) = -6 + 7 - 2*r + 16*r**2 + 3. Let t = 104 - 93. Calculate the remainder when w(2) is divided by t.
9
Let f be 252/45 + (26/(-10) - -2). Suppose -3*d + 84 = 4*l, -f*l - 2*d + d = -116. What is the remainder when l is divided by 13?
11
Let u(v) = 3*v**2 + 61*v + 619. Calculate the remainder when 1463 is divided by u(-22).
5
Suppose 297*p = 321*p - 2136. Let d(w) = 1 + 2*w**2 - w - w**2 - 5*w**2 - 2*w**3 + w**2. Calculate the remainder when p is divided by d(-2).
5
Suppose -k + r + 15 = 0, r + 8*r = -5*k + 61. Suppose 157 = 3*l + 2*u, 0 = -5*u + 4*u - 1. Calculate the remainder when l is divided by k.
11
Let q be (20 - (4 + -2))*44/(-33). Let j = q - -313. Suppose 0 = -2*w + j - 29. Calculate the remainder when w is divided by 33.
31
Let l be 108/2 - 2*-1. Suppose 3*f - f = l. Suppose 16*y - 15*y = -2*r + 221, 2*y + 103 = r. What is the remainder when r is divided by f?
25
Let n = -17 + 31. Let g be ((-3)/6)/(2/212). Let j = g - -120. What is the remainder when j is divided by n?
11
Let o = -5 - -17. Let w be 6/o - 223/(-2). Let c = w - 79. Calculate the remainder when 131 is divided by c.
32
Let v(m) be the third derivative of m**4/3 - 61*m**3/6 - 27*m**2 + 2*m. What is the remainder when v(15) is divided by 14?
3
Suppose 5*s - 517 = -3*b, -5*s + 111*b = 110*b - 501. What is the remainder when s is divided by 75?
26
Let q(l) = -l**2 - 8*l + 10. Let v be (-34)/5 + (-20)/100. What is the remainder when 186 is d