emainder when z is divided by 29.
26
What is the remainder when 2609 is divided by (-1160)/10*(343/(-140) - (-6)/30)?
260
Let v = -54 - -56. Let q = 6 - v. Suppose -q*m + 3*x = -29, -m + x - 5 = -13. What is the remainder when 17 is divided by m?
2
Let f(r) = 2*r**2 - 20*r + 1492. Calculate the remainder when f(0) is divided by 107.
101
Suppose 3*a = 5*o - 155, -301*a + 302*a = 0. Calculate the remainder when 216 is divided by o.
30
Suppose 0 = 2*p - 2*a - 10436, 0 = -p + 6*a + 1502 + 3741. Calculate the remainder when p is divided by 32.
29
Let i = 101 - 129. Let o = 84 + i. Suppose 57*j - 3 = o*j. Calculate the remainder when 18 is divided by j.
0
Suppose 5*o = 4*o + 2233 - 2195. What is the remainder when 138 is divided by o?
24
Suppose 5*n - 4*v + 22 = 0, -2*v = 5*n - 11 + 15. Calculate the remainder when n/16 + 1353/16*2 is divided by 47.
28
Suppose -9*l - 224 = -2*l. Let i = l - -32. Suppose -2*h + 22 = -i*h. Calculate the remainder when 64 is divided by h.
9
Suppose k + k = -2*m + 22, m - 25 = -3*k. Let n = -5 + k. Suppose 5*h - 44 = -4*w - 5, -3*w + 31 = n*h. What is the remainder when 38 is divided by w?
5
Let m be 10*-1*7/(-35). Suppose -3*w = m*w - 60. What is the remainder when (-1 - -1) + (-120)/(-8) is divided by w?
3
Let v = 3 - 3. Let c = 323 + -320. Suppose -9*u - c*u + 144 = v. Calculate the remainder when 82 is divided by u.
10
Let i(m) = 8*m**2 + 13*m + 13. Let k(z) = z**2 + z. Let c(b) = i(b) - 4*k(b). What is the remainder when 173 is divided by c(-2)?
8
Let c(w) be the first derivative of w**2/2 + 6*w + 2. Let k be c(-2). Suppose 74 = 5*i - q - q, -2*i + 36 = -k*q. What is the remainder when 54 is divided by i?
12
Suppose 590 = 84*v - 74*v. What is the remainder when v is divided by 15?
14
Suppose -b = 3*i - 44, -9 = -b + i + 19. Suppose b*g - 24 = 30*g. What is the remainder when 18 is divided by g?
6
Suppose -n = 2*n + 12, -n = 2*l - 14. Let i(b) = -b**3 + 8*b**2 + 9*b - 2. Let c be i(l). What is the remainder when 51 is divided by (c - -3) + -1 + 13?
12
Let g(h) = h**3 - 30*h**2 + h + 22. What is the remainder when 301 is divided by g(30)?
41
Let k be ((-30)/4)/((-15)/40). Let l = k + -15. Suppose -b + 38 + 221 = l*m, 5*m = b + 261. What is the remainder when m is divided by 6?
4
Calculate the remainder when 1373 is divided by (-1296)/(-15) + (-108)/270.
83
Let n be -4*(-4)/8 + -1. Let c be (1/2)/(((-2)/8)/n). Let h(s) = -3*s**3 - 2*s**2. Calculate the remainder when 44 is divided by h(c).
12
Suppose 413 = 2*i + 93. Let j(q) = -7*q + 341. What is the remainder when i is divided by j(44)?
28
Suppose 22*b - 4435 = -1069. What is the remainder when 2594 is divided by b?
146
Suppose 1406*t + 9516 = 1484*t. Calculate the remainder when 1553 is divided by t.
89
Suppose -4330 - 35778 = -3*t - 4*d, 25 = -5*d. Suppose -6*y - 38*y = -t. Calculate the remainder when y is divided by 34.
32
Suppose -6725 = -14*q + 30403. Calculate the remainder when q is divided by 45.
42
Let t(l) = 390*l + 2848. Let u(h) = h**3 - 3*h**2 - 3*h - 4. What is the remainder when t(-7) is divided by u(5)?
25
Suppose -187*b = 15*b - 7878. What is the remainder when 428 is divided by b?
38
Suppose 26*s = 18*s + 1864. Suppose -13*q + 40 = -s. Calculate the remainder when q is divided by 8.
5
Let n(j) = -6*j + 4 + 78 + 2 - j. Calculate the remainder when 90 + 5 + (-1 - -2) is divided by n(10).
12
Suppose 320*j = 324*j - 6908. Suppose -358 = -5*v + j. Calculate the remainder when v is divided by 21.
18
Suppose 83*x - 2552 = -5*x. What is the remainder when 133 is divided by x?
17
Let g = 202 - -169. What is the remainder when g is divided by (-70)/98 + 2703/119?
19
Suppose -2*q = -3*z + 43, 6*q - 2*q = -20. Suppose 112*m = -3*g + 110*m + 855, 4*g - 3*m - 1123 = 0. What is the remainder when g is divided by z?
8
Suppose 139*l - 42222 = 95*l - 3018. What is the remainder when l is divided by 242?
165
Let u be 0/(-17 - (5 - 14)). Suppose 80*z - 66*z - 392 = u. Calculate the remainder when 99 is divided by z.
15
Let v(a) = 43*a**2 + 2*a - 1. Let g(z) = 478 - 192 - 215 - 5*z. Calculate the remainder when v(1) is divided by g(11).
12
Let m(w) = 3*w**2 - 1 + 4 + w**2 + w. Let a = -548 + 552. Calculate the remainder when m(a) is divided by 9.
8
Suppose -7*j + 4*j = 6. Let u be -17 - (-2 - (-3 + j)). Let l(o) = o**2 + 21*o + 30. What is the remainder when 39 is divided by l(u)?
9
Let j(z) = -z**3 + 3*z**2 + 4*z - 1. Let v be j(5). Let h = -9478 - -9533. Let a = h + v. What is the remainder when 94 is divided by a?
22
Let g(d) = 2*d**2 - 72*d - 393. Calculate the remainder when 60/8*40/6 is divided by g(-5).
16
Suppose 16*v - 18*v = -3*b - 16, -b = 2. Suppose 2*u = k - 29, -5*k + 16 = -v*u - 129. Calculate the remainder when 173 is divided by k.
28
Let q = -318 + 326. Calculate the remainder when (14 + -2)/(q/72) is divided by 28.
24
Suppose -47*z - 6*z = -21*z - 2048. Let r(q) = -2*q**3 - 8*q**2 + 5*q + 13. What is the remainder when r(-6) is divided by z?
63
Suppose 3*v - 83 = 2*m, -2*v + 61 = -m + 7. Suppose 4*b + 5*k - 176 = 6*k, b - 5*k = v. Calculate the remainder when 490 is divided by b.
40
Let s(u) = -u**3 - 29*u**2 - 32*u - 33. Let g be -30 + 2 - (-3 - (-6)/2). Calculate the remainder when s(g) is divided by 8.
7
Let s(b) = -b**3 + 6*b**2 + 3*b - 5. Let g be (1 + -26 - 3)*6/(-4). Suppose g = 6*p - 30. What is the remainder when s(5) is divided by p?
11
Let b(s) = 3*s + 17. Let z(r) = r**3 - 14*r**2 - 13*r - 34. Let m be z(15). What is the remainder when 69 is divided by b(m)?
4
Let y(x) = -2*x**3 + 2*x**2 + 3*x + 2. Suppose 11*p + p = 2340. Let i = -136 + p. Calculate the remainder when i is divided by y(-2).
19
Let l = 31 + -1. Suppose -28*b = -l*b + 14. Calculate the remainder when 26 is divided by b.
5
Let q(i) = 12*i**2 + 570*i + 66. What is the remainder when q(-49) is divided by 315?
3
Suppose -s = s - 816. Suppose 573*i = 575*i - 6. Suppose -s = -9*w - i*w. Calculate the remainder when w is divided by 19.
15
Suppose k - 3*k = -4*d + 12, -5*k - 5*d + 30 = 0. Suppose -13*b + 300 = k*b. Calculate the remainder when 296 is divided by b.
16
Let l = -1455 - -1617. What is the remainder when 461 is divided by l?
137
Let v be (-6)/4*(64/12)/(-4). Suppose 2*p = 3*p - 12. Suppose -v*b = -p*b + 280. Calculate the remainder when 55 is divided by b.
27
Let b(z) be the second derivative of 17*z**5/10 - z**4/12 + 12*z. Let x be b(-1). Let j = x + 57. What is the remainder when j is divided by 12?
10
Calculate the remainder when (-44)/(-66)*(2286/4 + -3) is divided by 151.
77
Let j = 248 + -238. Suppose -4*u + 6 = -3*i - 132, 0 = 5*i - j. What is the remainder when 101 is divided by u?
29
Let m(n) = -n + 16. Let k(c) be the third derivative of -c**5/30 + 5*c**4/8 - 5*c**3/3 + 2*c**2 - 107*c. Calculate the remainder when k(5) is divided by m(7).
6
Let o be 11/((-22)/180) - (-1 + -2). Let p = 89 + o. Calculate the remainder when 21 is divided by 16*(15/6 - p).
5
Let x = 288 - 129. Let p be ((-16)/72)/((-3)/27). Suppose -138 = -5*i + 3*c, 0 = i - p*i - 3*c + 24. Calculate the remainder when x is divided by i.
24
Suppose 0 = 7*l + 129 - 542. Calculate the remainder when 65 is divided by l.
6
Suppose 4*l + 4*r + 1 = -3, l = 4*r + 19. Suppose l*k - 84 = -4*k. Let q = 18 - 11. What is the remainder when k is divided by q?
5
Suppose 0 = 19*u - 858 - 871. Let s(q) = q**3 - 7*q**2 + 7*q - 4. Let f be s(6). What is the remainder when u is divided by (-1 + f)*(8 + 15)?
22
Suppose -2*o - 744 = 14. Let z = o - -460. What is the remainder when z is divided by 12?
9
Let v(l) = -2*l + 9. Suppose 4*i + 275 = -205. Let n = -116 - i. What is the remainder when v(-10) is divided by n?
1
Suppose -195*w + 13708 = -67*w - 82*w. Calculate the remainder when 597 is divided by w.
1
Suppose -28*c + 1602 = -37*c. What is the remainder when (c/(-3))/(10/15) is divided by 23?
20
Suppose -2*d = 3*w - 1719, 3*w - 3564 = -4*d - 111. Calculate the remainder when d is divided by 74.
53
Let z(w) = 2*w**3 - 17*w**2 - 23*w + 75. Let d(l) = l**2 - 2*l + 1. Let k(u) = -3*d(u) + z(u). What is the remainder when k(12) is divided by 89?
88
Suppose -20*f = -17*f + u - 245, 3*f - 244 = -2*u. What is the remainder when f is divided by 32?
18
Suppose -2493 = 44*t - 21193. Calculate the remainder when t is di