hen 46 is divided by (-57)/(-19) + (-3 - -24).
22
Let a be (-5 + -4 + 1)/(-1). Let p = a - 8. Suppose p*o + 12 = 2*o. What is the remainder when 17 is divided by o?
5
Let y(k) = k**2 + 2*k - 3. Let i = 7 - 5. Let q be y(i). Suppose l - 67 = q*h, h = -2*l + 2*h + 161. What is the remainder when l is divided by 21?
19
Suppose 35*h = -h + 792. Calculate the remainder when h is divided by 15.
7
Suppose 24*s = 27*s - 600. Let q = s + -82. What is the remainder when q is divided by 30?
28
Suppose -4*t + 19*t - 308 = -7*t. What is the remainder when (-206)/(-8) + (-1)/(-4) is divided by t?
12
Suppose 7 - 33 = -k. Suppose -2*f - 1 = 7, -2*p + f = -k. Suppose -77 = -4*a + 5*g - 16, -4*a = 5*g - p. What is the remainder when 17 is divided by a?
8
Suppose 20 = b - 5*y, -60 = -3*b - 6*y + 3*y. What is the remainder when 637 is divided by b?
17
Let a = -1386 + 1417. Calculate the remainder when 928 is divided by a.
29
Let j = 1 - -1. Suppose 0 - 2 = 3*x + j*w, 0 = -x + 2*w + 10. Calculate the remainder when x is divided by (4/(24/(-15)))/(490/(-392)).
0
Suppose -5*d = -10, 3*n + 7*d = 6*d + 140. Calculate the remainder when 871 is divided by n.
43
Let k = 1101 + -1089. What is the remainder when 17 is divided by k?
5
Calculate the remainder when 430 is divided by (-1173)/(-23) + -3 + 1 + -1.
46
Let z(d) = 8*d**2 - 4*d - 6. Let r = -30 + 33. What is the remainder when z(r) is divided by 8?
6
Let q = 265 + -244. Calculate the remainder when 228 is divided by q.
18
Suppose 3*i - 2*w - 45 = 0, 3*w + 2*w = -3*i + 24. Let k be ((8/12)/((-2)/21))/(-1). Suppose k*f - i*f = -486. What is the remainder when f is divided by 21?
18
Suppose -4*b + 25 = c, -b + 3*b = -2*c + 32. Suppose -4*q - 64 = -2*h, 0 = 5*h - 3*q - 251 + 77. What is the remainder when h is divided by c?
10
Suppose 9*a - 39 = -4*a + 12*a. Suppose 0 = -0*n + n - 7. What is the remainder when a is divided by n?
4
Let n(v) = v**2 - 44*v + 17. Calculate the remainder when 1066 is divided by n(0).
12
Let f be 1 + -3*(-3)/(-9). Suppose f*y + 2*y = 10. Suppose 3*g + 4*r - 52 = 0, 0*g - 2*g + 4 = -5*r. What is the remainder when g is divided by y?
2
Let h = -5 + 59. Let j = h + -30. Calculate the remainder when j is divided by 5.
4
Suppose -k = -24 + 15. What is the remainder when k/((-18)/(-8)) - -19 is divided by 1*(-1 - 0)*-9?
5
Suppose -2*w = 2*u - 4, -6*u + 5*w - 20 = -u. Let y(a) = -60*a - 3. What is the remainder when y(u) is divided by 20?
17
Suppose 36*n - 456 - 840 = 0. Calculate the remainder when 119 is divided by n.
11
Let a be (4/12)/(1/12). Suppose -i - 3*g = 3, -g + a = i - 5*g. Suppose i*c - 30 = -5*c. What is the remainder when 15 is divided by c?
3
Let g = -86 + 87. Let y(z) = 53*z**2 + 4*z - 3. What is the remainder when y(g) is divided by 11?
10
Suppose 4*r + 5*m - 9 = 30, -5*r + 57 = -2*m. What is the remainder when 21150/270 + (-7)/3 is divided by r?
10
Let v(z) = -z**3 + 21*z**2 - 66*z + 8. What is the remainder when v(17) is divided by 15?
12
Suppose 5*f - 25 = -2*r - 2, 2*f - 9 = -r. Let d = r + 2. Calculate the remainder when 67 is divided by d/((-3)/153*-3).
16
Let r(p) = p + 9. Let y be r(-8). Suppose 24 + 72 = 3*k. What is the remainder when y/(3/381*1) is divided by k?
31
Let f be (1/(-2))/(1/(-24)). Let d be 4 - (f*5)/4. Let j = -8 - d. Calculate the remainder when 9 is divided by j.
0
Let t be (-3)/(-2)*(-3 - -17). Let p = -19 + t. Suppose 0 = 3*g - o - 61, -4*o = -p*g - 3*o + 42. What is the remainder when g is divided by 10?
9
Let v = 350 + -339. Calculate the remainder when 29 is divided by v.
7
Suppose -149 = -40*p + 131. What is the remainder when 31 is divided by p?
3
Calculate the remainder when 179 is divided by ((-1)/(-2))/(3 + 963/(-324)).
17
Suppose 4*j - 378 - 322 = 0. Calculate the remainder when j is divided by 11.
10
Suppose -5*a = -4*w - 115, 2*a - 2*w - 63 + 17 = 0. Let z(p) = 3*p**2 + 49*p + 28. Calculate the remainder when a is divided by z(-16).
11
Suppose 4*x - 927 = -5*n, 3*x + 8*n - 704 = 13*n. Calculate the remainder when x is divided by 84.
65
Let x be (-11)/(-2) - 1/(-2). Suppose -3*z + x - 3 = 0. Calculate the remainder when z is divided by 1.
0
Let p be 3 + (1 - 2) + -2. Suppose r - 2*r + 1 = p. What is the remainder when 12 is divided by (-2 + 10 + -3)*r?
2
Let a(u) = -21*u + 93. What is the remainder when a(0) is divided by 6?
3
Let t = 16 + -7. Let u = t - 5. What is the remainder when 13 is divided by u?
1
Suppose -d + 26 = 2*g - 6*g, 5*d = g + 92. Calculate the remainder when 35 is divided by d.
17
Let z = -353 - -362. Let v = 24 - -9. Calculate the remainder when v is divided by z.
6
Let y = 83 + -89. What is the remainder when (44 - 20)*(-82)/y is divided by 33?
31
Suppose -5*w = -5*d + 11 - 41, 3*d = -4*w - 39. Let z = -23 - d. Calculate the remainder when (z/6)/(-7)*87 is divided by 10.
9
Let s(z) be the second derivative of z**5/20 - 13*z**4/12 - 8*z**3/3 + 35*z**2/2 + 17*z. What is the remainder when 14 is divided by s(14)?
0
Let r(l) be the third derivative of l**5/60 + l**4/12 + 2*l**3/3 + 15*l**2. Let f(v) = v - 16. Let i be f(13). What is the remainder when 12 is divided by r(i)?
5
Suppose 31*q - 7*q - 984 = 0. What is the remainder when 282 is divided by q?
36
Let c = -2306 - -2385. Calculate the remainder when c is divided by 20.
19
Let d(c) = -c + 24. Let n be d(17). Suppose -n = -3*p + z, -p - 4*z = -z + 1. What is the remainder when 2 is divided by p?
0
Suppose -417 = -21*x + 20*x. What is the remainder when x is divided by 15?
12
Let a be 3/(4 - (-13)/(-3)). What is the remainder when 44/6 + (-6)/a is divided by (-11)/(-22)*8*1?
0
Let v(c) = c + 34. Suppose -3*d - 4*w - 82 - 71 = 0, 182 = -4*d + 2*w. Let u = -27 - d. What is the remainder when v(4) is divided by u?
18
Let x(r) = r**3 + 7*r**2 - 16*r - 72. Calculate the remainder when 168 is divided by x(-7).
8
Suppose -4*h - 2869 = -23*h. What is the remainder when h is divided by 46?
13
Let z(s) = -3*s + 1. Let a(b) = 4*b - 1. Let m(j) = -7*a(j) - 6*z(j). Let v(h) = h. Let r(t) = m(t) + 4*v(t). What is the remainder when r(-1) is divided by 3?
1
Let d be 75/9 + 3/(-9). Suppose -3*p + 22 = -p - 4*g, -4*g + d = 0. What is the remainder when 29 is divided by p?
14
Let h = -10 - -10. Suppose h*z = 3*z - 9. What is the remainder when 19 is divided by 1 + (13 - z) + 0?
8
Let t = 125 - 97. What is the remainder when t is divided by 10 + (-1 + 2 - 3)?
4
Let d = 44 - 18. Let m be -1 - ((3 - -15) + 2). Calculate the remainder when (-2 - 304/(-6)) + (-7)/m is divided by d.
23
Suppose n + 5*f - 47 = 0, 3*n - 5*f = -f + 236. Let t be (1 + 14)*(-1)/(-3). Suppose 44 = t*v - 31. What is the remainder when n is divided by v?
12
Suppose l + 1 = 0, -l - 21 = -5*y - 0. Suppose 0 = -v + 5*p + 16, -8 = -v - y*p + p. What is the remainder when 1 + -1 + 42 + 0 is divided by v?
9
Let h = -81 - -116. Suppose 11*g + h = 12*g. What is the remainder when g is divided by 6?
5
Let t = 168 + -119. Let a(w) = w**2 - w - 3. Let m = -1 + -3. Calculate the remainder when t is divided by a(m).
15
Suppose 0 = -58*x + 18*x + 680. Calculate the remainder when 320 is divided by x.
14
Let p = -60 + 68. Calculate the remainder when 15 is divided by p.
7
Suppose 3*y + 243 = -6*l + 9*l, -l = 2*y - 72. What is the remainder when 544 is divided by l?
76
Let a(r) = 25*r - 65. Calculate the remainder when a(5) is divided by 5.
0
Suppose 0 = -5*k - m + 191, 6*k - 5*k - 4*m = 34. Calculate the remainder when 86 is divided by k.
10
Let s(p) = -p**3 - 4*p + 5*p**2 + 0 - 1 + 2*p**3 - 9*p**2. What is the remainder when s(6) is divided by (-60)/(-18)*(-48)/(-10)?
15
Suppose 3*v = -2*y + 83, 3*v - 5*v + 56 = y. Suppose -3*u = -4*a + 13 + 58, 0 = -4*a - 2*u + 66. Calculate the remainder when v is divided by a.
12
Suppose m = 7*m - m. Suppose -6*o + 10*o - 44 = m. Calculate the remainder when 42 is divided by o.
9
Suppose 0*p + 960 = 8*p. Suppose f + 21 - p = 2*j, 5*f + 4*j - 495 = 0. Calculate the remainder when f is divided by 51.
48
Let m = 30 - 24. Let a(g) = g**3 - 2*g**2 + 5*g - 4. Let l be a(4). Suppose m*o = l - 12. Calculate the remainder when 29 is divided by o.
5
Suppose 2*p + 7 = 31. Suppose 0 = -2*i - 2*i - p. Calculate the remainder when 2 + i + 0 - -80 is divided by 20.
19
Let x = 1 - 1. Suppose -4*m - 3 + 43 = x. 