
62
Let x = -2662 + 2720. Suppose -t - 2 = 0, -38 = -4*n + 4*t - 5*t. Calculate the remainder when x is divided by n.
8
Suppose a - 95 = 3*r, -5*a = 5*r - 8*r - 79. Let o = 76 + r. Calculate the remainder when 127 is divided by o.
41
Let v = -60 + 71. Suppose -20*z = -v*z - 495. What is the remainder when z is divided by 19?
17
Let m be 80/12*9/(-3). Let w = m - -43. Let k(n) = n**2 + 3*n + 13. What is the remainder when k(-9) is divided by w?
21
Suppose 13 = 13*j - 26. Let k(o) = 13*o - 6. Let l be k(4). Suppose -j*x + l = -x. What is the remainder when 91 is divided by x?
22
What is the remainder when (1/2)/((-7)/616*-2) is divided by 4?
2
Let j(t) = -t**3 - 8*t**2 + 8*t - 6. Let o be j(-9). Let s(h) = -3 + o + h**2 + 1 + 3*h. Calculate the remainder when 84 is divided by s(-7).
26
Let d = 33 - 29. Suppose 0*b - d*b - 8 = 0. Calculate the remainder when 78/((1 - 5)/b) is divided by 20.
19
Let j(b) = -b**2 + 2. Let v be j(1). Let q = v - -1. Calculate the remainder when 155 is divided by 472/12 + q/(-6).
38
Let q = 205 + -135. Calculate the remainder when q is divided by 3 + (8 + 1)/1.
10
Let l(k) = -k**3 - 29*k**2 + 57*k + 102. What is the remainder when l(-31) is divided by 37?
35
Let v be 8/(-1) + -2 + 4. Let m(i) = -10*i - 31. What is the remainder when m(v) is divided by 8?
5
Suppose 5*b + 31 = -5*m + 171, 53 = 2*m + 5*b. Let j(t) = t**2 - 6*t + 6. Let c be j(6). Suppose -48 = -c*s + 3*s. What is the remainder when m is divided by s?
13
What is the remainder when ((-387)/(-45) - -7)*(-100)/(-6) is divided by 93?
74
Let i = -1459 + 1527. What is the remainder when 537 is divided by i?
61
Let q be (2/(-3))/((-4)/6). Suppose 0 = l - 27 - q. Suppose -t = t - l. What is the remainder when 26 is divided by t?
12
Let r = -28 + 66. Calculate the remainder when r is divided by 10.
8
Let o(r) = -r - 2. Let m be o(-5). Let v(x) = -1 + 2 + 5*x**2 + 0 + 2*x - m*x. Calculate the remainder when 43 is divided by v(-2).
20
Let k = -53 - -24. Let b = -31 - k. Calculate the remainder when 3/((-3)/30*b) is divided by 11.
4
Suppose 225*l - 223*l = 66. Let a(t) = t**3 + t**2 - 4*t - 1. Suppose 3*p - 10 = p. What is the remainder when a(p) is divided by l?
30
Let c = 73 - 71. What is the remainder when 18 is divided by c?
0
Let w(c) = -c**3 + 18*c**2 + 22*c + 7. Calculate the remainder when w(19) is divided by 4.
0
Suppose -2*g + 64 = -0*g - 2*u, -u = 5*g - 148. What is the remainder when 55 is divided by g?
25
Suppose 22*v - 744 = -2*v. What is the remainder when v is divided by 12?
7
Let a(b) = b**2 - 3*b - 7. Suppose 2*r - 9 - 39 = 0. Suppose 0 = 2*h - 2*z - 24, h - 5*z + r = 3*h. Calculate the remainder when a(-6) is divided by h.
11
Calculate the remainder when (-884)/(-4) + -3 + 3 + -9 is divided by 27.
23
Calculate the remainder when 12/(-2) + 2 - (-73 + -1) is divided by 8.
6
What is the remainder when 579 is divided by (-81)/(-27) - (0/3 + -143)?
141
Let a = -74 - -76. Suppose -3*m + 5*b = 0, -5*m - 2*b = -0*b. Suppose m = -o - a*v + 36, -5*o + 204 = -3*v + v. Calculate the remainder when o is divided by 21.
19
Suppose -5*m + 2*h = 332, 5*m + 5*h + 410 = 50. Let d be (2 + 95 + 4)/1. Let b = d + m. Calculate the remainder when 98 is divided by b.
32
Let a = -78 - -89. Let u(x) = -x**3 + 12*x**2 - 11*x + 16. Calculate the remainder when 190 is divided by u(a).
14
Let u(y) = -y**3 + 24*y**2 - 23*y + 19. Calculate the remainder when u(23) is divided by 10.
9
Suppose -8*k = -13*k - 20. What is the remainder when 8 is divided by (-2)/(22/k - -5)?
0
Suppose -3*c = 4*s + 94 - 1113, -4*c = -4*s - 1340. Calculate the remainder when c is divided by 17.
14
Suppose 3*a - 3*p = -2*p + 51, p = 5*a - 87. Let i = 40 - a. Suppose -4*g = -2*g - i. What is the remainder when 43 is divided by g?
10
Let x(b) = b**3 - 3*b**2 - 5*b + 4. Let c be x(4). Suppose c = -3*i + 51 + 183. Calculate the remainder when i is divided by 22.
12
Suppose q + 6 = -p, 6*q + 4*p - 16 = 10*q. Let t = 1 - q. Suppose -112 = -2*f - 5*f. Calculate the remainder when f is divided by t.
4
Suppose -22*s + 2*s + 100 = 0. What is the remainder when s is divided by 1?
0
Suppose -3*o + 11 + 25 = -f, 2*f = -o - 65. Suppose 0 = 3*u - 3, 4*d + 56 = 9*d - 4*u. What is the remainder when f*((-12)/(-9) - 2) is divided by d?
10
Suppose 4*x - 20 = 2*q, -5*q + 2*x + 7 = 17. Suppose -7*v + 209 + 15 = q. Calculate the remainder when v is divided by 7.
4
Suppose 3656 = 24*x - 232. Calculate the remainder when x is divided by 55.
52
Let c be 5 - ((-3)/(-4))/((-3)/(-8)). Let b(r) = 4*r + 12. What is the remainder when 119 is divided by b(c)?
23
Suppose 0 = 2*w + 7*k - 4*k + 9, -5*k - 15 = 5*w. Suppose w = y - 6*y. Suppose -36 = -3*q - y. What is the remainder when 19 is divided by q?
7
Let r(k) = k + 31. Let f be r(10). Suppose 4*v + a - 4*a = 35, -5*v = -a - f. Calculate the remainder when 20 is divided by v.
4
Suppose -31*h + 1271 = -10044. What is the remainder when h is divided by 74?
69
Let x = 65 - 40. Suppose 0 = 3*j + 4*l - 285, -408 = -4*j + l + 3*l. What is the remainder when j is divided by x?
24
What is the remainder when (9 + 18)/9 - -47 is divided by 34?
16
Let s = -402 + 424. What is the remainder when 22 is divided by s?
0
Suppose -90 + 20 = -4*l + 3*x, -55 = -3*l + x. What is the remainder when l is divided by (6/(-15))/(1/(-20))?
3
Suppose -3*j - 672 = j. Let z = 79 + j. Calculate the remainder when z/(-7) + (-24)/(-84) is divided by 4.
1
Let q = -410 - -1073. What is the remainder when q is divided by 18?
15
Let m(x) = -x**3 - 6*x**2 - 3*x - 7. What is the remainder when m(-7) is divided by 440/25*(-15)/(-12)?
19
Suppose 15 + 20 = 5*r. What is the remainder when 12 is divided by r?
5
Let t = -147 + 39. Let l = 112 + t. What is the remainder when 15 is divided by l?
3
Let j = -12 + 16. Suppose -219 = -j*c + c. What is the remainder when c is divided by (-2)/(-4) - 49/(-2)?
23
Let i(a) = 4*a - 114. What is the remainder when 73 is divided by i(38)?
35
Let o = 6 + -2. Suppose -4*n + 0*n - 15 = 5*s, o*n + 30 = -2*s. What is the remainder when n/(-5 + 2 + 1) is divided by 2?
1
Suppose n = -4*n + 435. Let f(o) = 29*o + 1. What is the remainder when n is divided by f(1)?
27
Let j(d) be the second derivative of -d**4/12 - 7*d**3/6 + 5*d**2/2 + d. Let i be j(-7). Suppose -i = g - 15. Calculate the remainder when g is divided by 3.
1
Let p = 400 - 361. Calculate the remainder when p is divided by 19.
1
Calculate the remainder when 77 is divided by (-2)/5 - 736/(-40).
5
Suppose 0 = 5*s + 20, s = -i + 2*s + 21. Suppose -22*h + 19*h = -87. What is the remainder when h is divided by i?
12
Let i(f) = -f**3 + 13*f**2 + 12*f + 19. Let x be i(14). Let l = 25 - x. What is the remainder when l is divided by 10?
4
Suppose 6*y = 2009 - 1757. What is the remainder when y is divided by 18?
6
Suppose -4*c + g + 94 = 0, -c + 2*g + 26 = 3*g. Suppose -c = d + 3*d. Let f(p) = p**3 + 7*p**2 + 4*p - 1. What is the remainder when f(d) is divided by 4?
3
Suppose q = -p + 54, 56 = p - 0*q + 2*q. Suppose p*y + 66 = 54*y. What is the remainder when y is divided by 22?
11
Suppose 3*v + v - 154 = -2*d, -4*v - 320 = -4*d. Suppose g = -q + 90, 4*q = 2*g + 251 + d. Calculate the remainder when q is divided by ((-20)/50)/((-1)/55).
19
Suppose x - 5*a = 75, 0*a + 2 = 2*a. Suppose 0 = -t - 7 + x. What is the remainder when t is divided by 15?
13
Let s(m) = m**2 + 2*m + 6. What is the remainder when 71 is divided by s(-2)?
5
Suppose -2 = 4*y - 2*y. Let q(h) = 15*h**2 + 4*h. What is the remainder when 74 is divided by q(y)?
8
Let x(c) = 4*c**2 + 5*c + 2. Suppose 3*o - 5*h = 7 + 19, -o = 5*h - 2. What is the remainder when x(-3) is divided by o?
2
Suppose 9*b = 6*b + 6. What is the remainder when ((-44)/b)/((-2)/4) is divided by 16?
12
Calculate the remainder when (-372)/5*(10/(-4))/1 is divided by 11.
10
Suppose p - 2*f = -0*f + 5, -4 = 4*f. Suppose 139 - 22 = p*g. What is the remainder when g is divided by 21?
18
Let i(w) be the first derivative of 3*w**2/2 - w + 33. Let f be (-1 + 3)*(-5)/(-2). Calculate the remainder when 69 is divided by i(f).
13
Suppose -1 - 13 = u. Let x = 15 + u. Suppose -4*p + 47 = -x. Calculate the remainder when 21 is divided by p.
9
Suppose 14*x - 3575 = 3*x. Calculate the remainder when x is divided by 26.
13
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