the remainder when 85 is divided by q?
1
Let m be ((-12)/(-18))/(2/6). Suppose -85 = -3*a + m*r + 145, 0 = 5*a - 4*r - 384. Suppose -o + a = 3*o. What is the remainder when 73 is divided by o?
16
Let z be 9/6*48/9. Let i be -2 - ((-9)/(-12))/((-3)/(-24)). Let c = z - i. Calculate the remainder when 79 is divided by c.
15
Suppose -4*b + 5 = 2*x - 1, 0 = 3*b + 3. Suppose x*y + 7*c + 135 = 3*c, -2*c = y + 33. Let m = -11 - y. Calculate the remainder when 33 is divided by m.
9
Suppose 5*u = -q + 244, -2*q = -5*u - 237 - 311. Suppose -4*m = 34 - 90. Calculate the remainder when q is divided by m.
12
Let d(n) = 8*n - 48. What is the remainder when 21 is divided by d(7)?
5
Suppose -890 = 176*f - 186*f. Calculate the remainder when f is divided by 69.
20
Let y(n) = 4*n - 86. What is the remainder when 301 is divided by y(31)?
35
Let c(d) = 47*d**2 - 3*d + 4. Let r be c(-4). Let o be (-1)/7 - r/(-84). Calculate the remainder when 78 is divided by ((-60)/(-14))/(o/42).
18
Let q(f) = -4*f - 5. Let h be q(-2). Let g = h + 9. Calculate the remainder when 22 is divided by g.
10
Let x(p) = -p**3 + 7*p**2 - 11*p + 5. Let d be x(5). Suppose 63 = 3*r - 3*w, -4*r + w + 99 = -d*r. What is the remainder when r is divided by 11?
4
Let m = 147 - 211. Let h = 115 + m. What is the remainder when h is divided by 13?
12
Let y = 185 - 57. Let k = -76 + y. Calculate the remainder when k is divided by 14.
10
Let m = -925 - -1135. Calculate the remainder when m is divided by 108.
102
Suppose 98 = 4*u - w, -2*u - 3*w = -u - 31. Suppose u = 4*o + 117. Let k = o + 54. What is the remainder when k is divided by 17?
14
Let k = -517 + 551. Calculate the remainder when 271 is divided by k.
33
Suppose -3*k + 429 = 4*o, -334 = -3*k - 2*o + 95. What is the remainder when k is divided by 40?
23
Let w be 6903/(-52) - (-1)/(-4). Let k = -66 - w. Calculate the remainder when k is divided by 17.
16
Let z = -472 - -484. What is the remainder when 167 is divided by z?
11
Suppose 21 + 3 = -3*c. Let g(y) = -2. Let u(q) = -q**2 + q - 5. Let d(o) = 2*g(o) - u(o). Calculate the remainder when d(c) is divided by 25.
23
Let y be (-38)/(-10) - ((-3)/15 + 0). Suppose -110 = s - 6*s + y*g, 5*g - 25 = 0. Calculate the remainder when s is divided by 14.
12
Let g(q) = 2*q**3 - 6*q**2 + 14*q - 15. What is the remainder when g(4) is divided by 42?
31
Let v be 4/2*15/(-10). Let u be 2926/42 + (-1)/v. Suppose z = l + 8 + 47, -4*l + u = z. Calculate the remainder when z is divided by 15.
13
Calculate the remainder when ((-1)/3)/(3/(-558)) is divided by (64/(-10))/((-8)/20).
14
Calculate the remainder when 971 is divided by 17792/96*6/8.
137
Let u(f) = -3*f**2 + 35*f + 28. What is the remainder when 159 is divided by u(12)?
15
Suppose -2*q + 3*q = 2*z + 36, 2*q - z - 60 = 0. Let x = q - 15. What is the remainder when 34 is divided by x?
8
Let f(s) = -s**2 + 54*s + 216. Let n(i) = 2*i**2 + 7*i + 6. What is the remainder when f(56) is divided by n(-5)?
20
Let v = 0 - -6. Suppose 0*r + 30 = v*r. What is the remainder when 33 is divided by r + 1 + 12/4?
6
Suppose -2*g + 8*g + 108 = 0. Let t = g - -41. Calculate the remainder when 68 is divided by t.
22
Suppose -23*v + 32*v - 882 = 0. Calculate the remainder when v is divided by 11.
10
Calculate the remainder when 149 is divided by -12*6/(-24) + (2 - -14).
16
Let d be ((-3)/9 - 0)*-9. Let i be -54*4/(-8) + d. Let u = i + -21. What is the remainder when 17 is divided by u?
8
Suppose -19 - 26 = -5*l. Suppose 3*z - 37 = t + 40, 0 = -4*z - 5*t + 109. Calculate the remainder when z is divided by l.
8
Suppose 0 = 15*c - 31 - 164. Calculate the remainder when 86 is divided by c.
8
Suppose -t - 4 = -19. Let q(s) = s**3 + 18*s**2 + 15*s - 25. Let m be q(-17). Suppose -m*w = -6*w - 219. Calculate the remainder when w is divided by t.
13
Let u = 17 - -1. Let t = -17 + u. Let f(o) = 81*o**2 + 3*o - 2. Calculate the remainder when f(t) is divided by 28.
26
Let y(u) be the second derivative of u**3/3 - 9*u**2 - 23*u. Calculate the remainder when 22 is divided by y(13).
6
Let x = -6 - -10. Suppose 0 = x*l - 5*l + 14. Let r(c) = 2*c**3 - c**2 - 4*c + 1. Calculate the remainder when l is divided by r(2).
4
Let r(p) = -2*p**3 - 28*p**2 - 9*p - 1. Calculate the remainder when r(-14) is divided by 44.
37
Suppose 2*z - 6*z = 448. Let t = 50 + z. What is the remainder when 3 - (1 + t) - -1 is divided by 22?
21
Let d be (-164)/14 - (-1)/((-7)/2). What is the remainder when (8/d)/((-1)/57) is divided by 20?
18
Suppose -2 = 3*t - 4*p, t = 18*p - 20*p + 16. Calculate the remainder when 184 is divided by t.
4
Suppose 35 = 5*z + 4*u + 11, 3*z + 5*u = 4. Calculate the remainder when 29 is divided by z.
5
Suppose u - 2*j = -4*j + 4, 5*u + 3*j - 20 = 0. Suppose -4*f + 145 = u*d - 23, -176 = -4*f - 2*d. What is the remainder when f is divided by 16?
14
Suppose b + 0*o - 26 = -3*o, o + 17 = 2*b. Suppose -6*m + 18 = -6. Suppose -55 = -m*r + 69. What is the remainder when r is divided by b?
9
Let s = -2319 - -2340. What is the remainder when 332 is divided by s?
17
Let i = 75 + -25. Calculate the remainder when i is divided by 18.
14
Let t be (5 - (4 - -3))/(1/(-4)). Let y(l) = -2*l + 31. What is the remainder when 19/(-1*1/(-3)) is divided by y(t)?
12
Let q = -142 + 238. Suppose -r + 0*h + 22 = h, 4*r + 2*h = q. Let i(g) = -g**3 + 15*g**2 - 14*g + 14. What is the remainder when r is divided by i(14)?
12
Let q(b) = -138*b - 19. What is the remainder when q(-2) is divided by 43?
42
What is the remainder when 41 is divided by (-21)/(9/(-9)) - -2*3?
14
Let w = 12 + -2. Suppose -2*x + 751 = -5*b, w*b = -4*x + 5*b + 1427. Suppose 4*q - x = 25. What is the remainder when q is divided by 25?
22
Let x = 1675 - 847. Calculate the remainder when x is divided by 26.
22
Let p(v) = v**3 + 9*v**2 - 4*v - 21. Calculate the remainder when 59 is divided by p(-9).
14
Let u(s) = -5*s**2 + 43*s + 57. Let p(j) = -2*j**2 + 14*j + 19. Let c(f) = -8*p(f) + 3*u(f). What is the remainder when c(-17) is divided by 5?
4
Let r(g) = -g**3 + 2*g**2 - 4*g - 12. Let w be r(-4). Suppose w = 13*o - 771. What is the remainder when o is divided by (-51)/(-2)*(-2)/(-3)?
16
Let i(b) = -b**3 - 20*b**2 - 18*b + 21. Let y be i(-19). What is the remainder when 42 is divided by y*2 - 22/(-2)?
12
Suppose 4*f - 7 = 1. Suppose -5*h + 4 + 4 = 3*g, 20 = 3*h - f*g. Suppose -2*u - 10 = -5*y, 5*y + h = 3*u + 14. Calculate the remainder when 6 is divided by y.
0
Let t(f) = -f**3 - 6*f**2 - 4*f - 1. Let d be t(-5). Let m = 7 - d. Suppose 4*z = -5*v - 171 + 162, -3*v = 15. Calculate the remainder when m is divided by z.
1
Let t(l) = l**3 - 9*l**2 + 8*l + 5. Let f be t(8). Suppose f*w = 13 + 57. Suppose x - 3*x + w = 0. What is the remainder when 27 is divided by x?
6
Suppose n - 5*n = -24. Let a(g) = -g**3 + 6*g**2 + 3*g - 13. Calculate the remainder when a(n) is divided by 3.
2
Let g(u) = -3*u**2 + 86*u + 21. Calculate the remainder when g(16) is divided by 21.
20
Let l = 117 + -70. What is the remainder when l is divided by -1 + (-6)/(-3) + 15?
15
Let s = 265 - 145. Suppose 2*c - 5*f = 57, -3*f + 39 + 181 = 5*c. Calculate the remainder when s is divided by c.
38
Suppose 3*f = 5*q + 123 - 14, -4*f + 107 = q. What is the remainder when f is divided by 20?
8
Let c be (-6)/(-8)*8*-1. What is the remainder when 4/(-12) - 176/c is divided by 16?
13
Let v(b) = -b**3 + 13*b**2 + 9. Calculate the remainder when 2 - (-30)/(-4)*-2 is divided by v(13).
8
Suppose 4*f = f - 45. Let r = -5 - f. What is the remainder when (-1 - (7 - 3) - -9) + 23 is divided by r?
7
Let i = 822 + -758. Calculate the remainder when 204 is divided by i.
12
Suppose -2*w + 27 = -7. Suppose 4*i + 4*g = i - 37, 3*i = 5*g - 1. Let s(c) = c**2 - 1. Calculate the remainder when s(i) is divided by w.
14
Let q(t) = 6*t. Let m = 1 - 0. Let k be q(m). Suppose -2*r = 3*r, -3*i = 3*r - k. Calculate the remainder when 5 is divided by i.
1
Let r(g) = -12*g**3 + 2*g**2 + 2*g + 1. Let p(k) = -k**3 - 3*k**2 - 1. Let j be p(-3). Calculate the remainder when 25 is divided by r(j).
12
Suppose 3*a - 9 = -3. Suppose a*r - 90 = -4*r. Let v = r + 4. Calculate the remainder when v is divided by 4.
3
Suppose -h = 2*c + c - 86, 5*h - 3*c - 394 = 0. Calculate the remainder when h is divided by 14.
10
Let y be