) = 5*n + 40. What is the remainder when a(18) is divided by m(5)?
31
Let j(a) = -a**2 - 18*a + 40. Let f be j(-9). What is the remainder when 8206/f - 4/(-22) is divided by 39?
29
Suppose 1662 = 118*t - 2542 + 310. What is the remainder when 3192 is divided by t?
24
Suppose 9*a - 57 + 840 = 0. Let f = a + 86. Calculate the remainder when 4 is divided by f/(-2) + 5 + 35/(-10).
0
Let y(v) = 2*v - 19. Let s be y(12). Suppose 0 = -s*z - 9 + 34, -4*m - 95 = -3*z. Calculate the remainder when (-4 + 3)/(2/m) is divided by 4.
2
Let z(d) = d**3 - 8*d**2 + 10*d + 1. Suppose 3*a - 6*a = 3*s + 120, 0 = -4*s + a - 155. Let j = -32 - s. What is the remainder when z(j) is divided by 12?
10
Let o = -7509 - -7681. Calculate the remainder when o is divided by 106.
66
Let p(j) = -j**2 - 7*j + 15. Let u be -2*(-4)/(-24)*0. Suppose u = -6*q + 11*q - 30. Calculate the remainder when p(-7) is divided by q.
3
Let g(d) = -104*d - 248. Suppose 2*m + 3*o + 22 = 0, 5*o + 28 = -4*m + 3*o. Calculate the remainder when g(m) is divided by 55.
52
Suppose -134*f - 10*f - 174*f = -2544. Suppose 0 = 2*v - n - 46, -3*n = v - 8 - 1. What is the remainder when v is divided by f?
5
Suppose 3*q + 15 = 2*n, -n - q - 6 = 2*q. Suppose 2*g = -n*z + 1, -3*g - 3*z + 8 = -5*z. What is the remainder when 74 is divided by (-4)/g*(-435)/58?
14
Suppose s + 3*s - 4*t = -76, 5*t + 67 = -4*s. Let c be (-3 - 1) + s/(-3). Suppose -100 = c*k - 12*k. What is the remainder when 48 is divided by k?
8
Suppose 123 = 3*c - 2*j, 165 = 4*c - 2*j - j. What is the remainder when 125/5*6/2 is divided by c?
36
Suppose 1811 = 4*u + 5*l, -537*l + 534*l = -5*u + 2236. What is the remainder when u is divided by 35?
29
Suppose 85*n = -189 + 3079. Suppose 5*f + 4*s - 999 = 0, 0 = 8*f - 5*f - 2*s - 617. What is the remainder when f is divided by n?
33
Let n = 65 + -24. Suppose -2*s - 33 = n. Let i = s + 49. Calculate the remainder when 34 is divided by i.
10
Let o = -20722 + 20976. Calculate the remainder when 273 is divided by o.
19
What is the remainder when (-2 + -41)*(-3 - 3) is divided by 8?
2
Suppose p + 374976 = 44*p + 83*p. What is the remainder when p is divided by 19?
12
Suppose -51603 = 170*b - 479*b. Calculate the remainder when 7512 is divided by b.
164
Suppose 0 = 3*l + 9, 3*q + 171 = 8*q - 2*l. What is the remainder when 789 is divided by q?
30
Suppose 71*w = -16*w + 39*w + 139440. Calculate the remainder when w is divided by 9.
7
Calculate the remainder when 2886 is divided by (-13)/26*5*(1 + (-246)/10).
54
Suppose -3*v - 155*p = -156*p - 2119, -2099 = -3*v - 4*p. Calculate the remainder when v is divided by 231.
12
What is the remainder when 335 is divided by 15/(-40) + (-1 - ((-747)/8 + 5))?
74
Let n = -10107 - -10295. Calculate the remainder when 1499 is divided by n.
183
Suppose -3 = 4*w + 17. Let t(h) = -13*h - 57. Let k be t(w). Calculate the remainder when 54 is divided by 1 - ((-8)/(-4) - k*2).
9
Suppose 0 = 24*l - 19*l - 525. What is the remainder when 34438 is divided by l?
103
Let o = -73 + 52. Let t be ((-14)/o)/((-2)/(-9)). Suppose t*a - 5*s = 33, a - 5*s = 24 - 3. Calculate the remainder when 28 is divided by a.
4
Suppose 0 = -3*d + 9*l - 12*l + 63, -5*l - 111 = -3*d. What is the remainder when 418 is divided by d?
13
Suppose -p + n + 12 = -4*n, -80 = -2*p - 4*n. What is the remainder when (15/(-1))/((-24)/p) is divided by 1/(-2) - (-58)/4?
6
Let a(t) = -5*t**3 - 3*t**2 + t + 4. Suppose 0 = 5*f - 5*p + 5, -3*f + 2*p = f + 6. Suppose 0 = -l - 8*l + 144. What is the remainder when a(f) is divided by l?
14
Suppose 2*t = -5*d + 250, 3*t + 0*d = -d + 362. What is the remainder when 303/5 - 18/t*4 is divided by 23?
14
Let d = -16618 + 16624. Let r be (4/5)/((-1)/(-5)). Suppose 4*p = r*q + 8 - 52, 0 = -2*q - 4*p + 22. What is the remainder when q is divided by d?
5
Let i(n) be the first derivative of -7*n**2/2 - 48*n + 21. What is the remainder when 44 is divided by i(-9)?
14
Let s be 7098/52*(-4)/(-7). Let o = -38 + -5. Let m = s + o. What is the remainder when m is divided by 12?
11
Suppose 6 = 3*d - 18. Suppose -4*y = -311 + 83. What is the remainder when d is divided by 177/y + -1 + (-4)/38?
0
Suppose 3*o - 3*a - 99 = -5*a, -2*o = 2*a - 64. Let k = -68 + o. Let s = k + 48. What is the remainder when 40 is divided by s?
10
What is the remainder when (-52)/(-143)*(2 - 12679/(-2)) is divided by 27?
11
Let z = -25 + 29. Let p = 267 - 311. Calculate the remainder when 20 is divided by ((-2)/2)/(z/p).
9
Let m(z) = 2*z**3 - 8*z**2 - 17*z + 44. What is the remainder when m(9) is divided by 151?
97
Let k be (-3)/(21/(-700)) + 5*-1. Let a = 99 - k. Let s = 126 + -72. Calculate the remainder when s is divided by a.
2
Suppose -v + 9 = v - 3*b, 3*v = -4*b + 22. Let u(s) = -s**3 - 8*s**2 - 2*s - 87. Calculate the remainder when -44*(9/v - 2) is divided by u(-9).
10
Let t(u) = -69*u - 125. Let r be t(-4). Suppose 2*x - 210 = -5*a, 2*x + 3*x - r = -4*a. Calculate the remainder when 263 is divided by a.
43
Let u(x) = 20*x - 258. What is the remainder when u(18) is divided by (-3216)/(-60) - (-4)/10?
48
Let u(c) = -27*c + 1653. What is the remainder when u(55) is divided by (-67 + -1)*(-3)/6?
32
Let z(n) = -1247*n - 9547. What is the remainder when z(-11) is divided by 4?
2
Let s = 411 - 400. What is the remainder when 3 + (-6544)/(-112) + 8/14 is divided by s?
7
What is the remainder when (502 - -2) + (-51 - -65) is divided by 26?
24
Suppose 50*h + 25*h - 2625 = 0. Calculate the remainder when 1116 is divided by h.
31
Let r = -124 + 126. What is the remainder when 53 is divided by (r - 22/4)*(-6 + -2)?
25
What is the remainder when 3104 is divided by 17680/4472 + (-2)/(-43)?
0
Suppose 2*x = -3*l - 51, -5*l - 2*x + 4*x = 69. Suppose 12 = -587*s + 593*s. Calculate the remainder when 2 + l/6 + 55/s is divided by 15.
12
Suppose -31*s + 7*s + 672 = 0. Suppose s*t - 4473 = 7*t. Calculate the remainder when t is divided by 18.
15
What is the remainder when 810 is divided by (-33)/(495/1290)*1/(-2)?
36
Suppose 16*h = 12*h, 287 = w - 3*h. Let z = 371 - w. Calculate the remainder when 335 is divided by z.
83
Suppose -5*x = 0, -5*x + 39 = 3*b - 6*x. Suppose -146 - 231 = -b*k. Calculate the remainder when 104 is divided by k.
17
Calculate the remainder when 310 is divided by (14 + -12)*95/10.
6
Suppose -n + 3*c = -539, 0 = -268*c + 267*c - 7. What is the remainder when 527 is divided by n?
9
Suppose -17*m + 407 = -6*m. Let l(p) = p**3 + 4*p**2 - 6. Let o be l(-3). Calculate the remainder when 2/o - ((-433)/3 + -1) is divided by m.
35
Let i(x) = -x**2 + 18*x + 18. Let r be i(17). Suppose -13*u = -r - 17. What is the remainder when 34 is divided by u?
2
Suppose 4*j + 541 = 8*j + 5*u, 0 = -2*u + 10. Suppose -j*a + 72 = -126*a. Let g = 131 + -91. What is the remainder when g is divided by a?
16
Suppose 0 = 183*y + 43*y - 147126. What is the remainder when y is divided by 79?
19
Suppose 4*s - 102 = -118, 5*k - s - 2949 = 0. What is the remainder when k is divided by 77?
50
Let u(b) = -2*b**3 - 5*b**2 + b - 4. Let d be u(-3). Suppose 4*n + c = 49, -n = d*c - 0 - 14. Calculate the remainder when 19 is divided by (-1)/2 + 66/n.
4
Let a(c) = 2*c**3 + 14*c**2 + 11*c - 6. Let t be a(-6). Suppose 26*z - 1699 - 43 = t. What is the remainder when z is divided by 12?
7
Let x(a) = 19*a**2 + 3*a + 3. Let i be x(-1). Suppose 16*s - i*s + 189 = 0. Calculate the remainder when s is divided by 11.
8
Suppose -373 = 70*y - 75*y + 3*z, z + 223 = 3*y. What is the remainder when 737 is divided by y?
71
Suppose 4*t + 197 = s, s - 160 = -3*t + 23. Suppose 0 = -9*u + s + 207. What is the remainder when u is divided by 4/(-22) + (-890)/(-55)?
12
Suppose -4*w + 5*j + 74 = 0, 7*w - 34 = 5*w + 4*j. Let a be 7/w - (-7)/(-3). What is the remainder when a - ((-10)/5 - 35) is divided by 19?
16
Suppose -5*z + 69 - 11 = 4*k, k = 5*z + 2. What is the remainder when 743 is divided by k?
11
Let g(b) = 2*b**2 + 9*b - 27. Let u be g(3). Suppose 1094 + 274 = u*s. Calculate the remainder when s is divided by 42.
34
Let c = 45106 + -44793. Calculate the remainder when 1116 is divided by c.
177
Calculate the remainder when 529 is divided by 2*(-9 + 60/5).
1
Suppose -10*g = -8*g + 4*x - 6664, 3*g = 25*x + 9779. Calculate the remainder when g is divided by 3305.
1