
56
Let t(f) = -f**2 + 5*f - 2. Let w be t(4). Suppose -w*a + 0*a = -46. What is the remainder when 42 is divided by a?
19
Let j(b) = 116*b + 2. Suppose 0 = 5*h - 5. Let r = -18 - -42. What is the remainder when j(h) is divided by r?
22
Let i(l) = 5*l - 1. Let b be i(8). Let r = b + -9. Calculate the remainder when r is divided by 18.
12
Let h = -378 - -267. Let j = -125 - 60. Let i = h - j. Calculate the remainder when i is divided by 19.
17
Let x be 381/1*(-21)/63. Let a = x - -136. Suppose 5*f - 5*s = 30, -5*f + 0*s + 30 = -4*s. What is the remainder when a is divided by f?
3
Let v(s) be the first derivative of -s**2 - 10*s - 1. Calculate the remainder when 19/(-76) + (-37)/(-4) is divided by v(-8).
3
Calculate the remainder when 4/14 - (-1 + 3576/(-28)) is divided by 6.
3
Suppose -3*b = -5*i - 3, -3*b + 0 = -3. Suppose 5*z + 3*g - 30 = i, -2*z + 4*g - 3*g + 23 = 0. Calculate the remainder when 51 is divided by z.
6
Suppose -2*v + 16 = 2*f, 6*v = 4*f + v - 23. What is the remainder when 31 is divided by f?
3
Suppose n - 43 = -5*q, -21 = 3*n + 3*q - 102. What is the remainder when n is divided by 6?
5
Let m be (0 + -11)*(-5 - -4). Let i = 11 - m. Suppose y + 4*n = -0*n + 65, n = i. Calculate the remainder when y is divided by 22.
21
Suppose g + 4*g = 80. What is the remainder when (-1 - -7)/((30/(-305))/(-1)) is divided by g?
13
Suppose 4*b - 2*c + 6 = 0, 0 = -5*b - 3*c + 2 + 7. Suppose b = -j + 4*j - 63. Calculate the remainder when j is divided by 11.
10
Suppose 0 = 30*s - 7032 - 228. Calculate the remainder when s is divided by 9.
8
Let n(g) = 5*g**3 + 6*g**2 + 8*g + 24. Let d(i) = -i**3 - 1. Let x(p) = 4*d(p) + n(p). Calculate the remainder when 55 is divided by x(-4).
15
Let i(z) = 2*z**2 - 62*z + 100. Calculate the remainder when i(30) is divided by 10.
0
Let t(y) = -2*y**2 - 14*y + 2. Let x be t(-7). Let o = 15 + x. What is the remainder when o is divided by 9?
8
Suppose 0 = 4*d - 4*m - 79 - 77, 0 = -4*d + 2*m + 152. Calculate the remainder when 219 is divided by d.
34
Suppose -169 = -14*g + 153. Calculate the remainder when 87 is divided by g.
18
What is the remainder when 63 is divided by (-72)/2*10/(-45)?
7
Suppose 3*v - 4*w + 24 = -31, 0 = 2*v + 6*w + 54. Let d = -9 - -53. Let x = v + d. Calculate the remainder when 66 is divided by x.
20
Suppose -c - 10 = z, -z + 0*z = -4. Let q be 4/6 - c/6. Suppose -q*d - 3*v = -240, -d + 0*v = 5*v - 92. Calculate the remainder when d is divided by 20.
17
Let l = 170 - 155. Calculate the remainder when l is divided by 6.
3
Let a(k) = 16*k**3 + k - 2. Calculate the remainder when (76/(-57))/(2/(-81)) is divided by a(1).
9
What is the remainder when 372 is divided by (510/4)/3*44/55?
32
Let p(k) = 3*k**2 - 10*k + 6. Let y(x) = -x**3 + 6*x**2 + 7*x + 2. Let l be y(7). Let g = l + 2. What is the remainder when 26 is divided by p(g)?
12
Suppose 0 = -0*w - 4*w - 5*o + 1186, -5*w + 5*o = -1460. What is the remainder when w is divided by 59?
58
Let o(g) = -16*g**2 + 30*g**2 - 16 + 8*g - 13*g**2. What is the remainder when o(-14) is divided by 23?
22
Suppose -4*k + 308 = 18*k. Calculate the remainder when 49 is divided by k.
7
Let g = 14 + 240. What is the remainder when g is divided by 17?
16
Let m(h) = -h - 12 - 15 - h**2 - 7*h + 29. What is the remainder when 52 is divided by m(-6)?
10
Suppose 629 + 499 = 8*k. What is the remainder when k is divided by 8?
5
Suppose 9*n = -8*n + 85. What is the remainder when 139 is divided by n?
4
Let m = 3 - -2. Suppose 19 = 5*d - g, -m*d + 5*g + 27 + 8 = 0. Suppose 5*z + 3*o = 433, -d*o - 101 = -z - 0. What is the remainder when z is divided by 23?
20
Let l(i) = -13*i**2 - i + 2. Let k(g) = -39*g**2 - 2*g + 7. Let a(j) = 2*k(j) - 7*l(j). What is the remainder when 38 is divided by a(-1)?
8
Suppose 0 = -2*s - 5*z + 73, -s - 7*z = -2*z - 49. Calculate the remainder when s is divided by (-13)/((-4)/(-2) - 3).
11
Let z(h) = -h + 8. Let f = 16 - 8. Let a be z(f). Suppose l + a = -2*n - 2, 0 = 4*l - 5*n - 57. Calculate the remainder when 22 is divided by l.
6
Let v(k) = -6*k**3 + 6*k**2 - 2*k + 5. What is the remainder when v(-3) is divided by 57?
56
Suppose -3*o = 3*v - 12, v - 29 = -5*o + 5*v. Let a(r) = 10*r + r**2 + 16 + 18 - 39. Calculate the remainder when a(-12) is divided by o.
4
Let n = 12 - -112. Suppose -6*p + 7*p - 32 = 0. What is the remainder when n is divided by p?
28
Suppose 0 = -5*g + 5*u - 15, -5*g - 4*u - u - 5 = 0. What is the remainder when (g - -1)/(-4 - 153/(-39)) is divided by 4?
1
Let x(h) = h**3 - 2*h**2 - h. Let i be x(5). Suppose r - 3*r = -i. Calculate the remainder when 139 is divided by r.
34
Suppose 61 = 2*t + 15. Let m be (-4)/(-3 + (-1)/(9/(-21))). Suppose -43*s + 44*s = m. Calculate the remainder when t is divided by s.
5
Let h = -549 - -575. What is the remainder when 67 is divided by h?
15
Suppose -2*i + 7*i = 70. Suppose 5*n + i = 7*n. Calculate the remainder when 20 is divided by n.
6
Suppose 0 = 405*n - 418*n + 897. Calculate the remainder when 87 is divided by n.
18
Let z = 7 - -12. Suppose 0 = -26*x + 865 + 955. Calculate the remainder when x is divided by z.
13
Suppose -398 = -4*k - 5*v + 395, 3*k + 3*v = 594. What is the remainder when k is divided by 48?
5
Let s(o) = o**3 + 5*o**2 - 3*o - 1. Let l be -2 + 131 - 4/(-4). Suppose 5*h - l + 0 = 0. What is the remainder when h is divided by s(-5)?
12
Let r = 29 + -9. Calculate the remainder when 34 is divided by r.
14
Suppose -24 = -9*i + 5*i. Let u(f) = -f**3 + 7*f**2 - 5*f + 5. What is the remainder when 31 is divided by u(i)?
9
Let n(q) = -q**2 - 9*q + 4. Let i be 5/(-2)*(-48)/10. Suppose -l = 3*r + 29, l - i = 2*r + 4. What is the remainder when 10 is divided by n(r)?
2
Let u = 1 + 0. Let n be u/3 - (-122)/3. Let f = -7 + n. Calculate the remainder when f is divided by 9.
7
Suppose -b + 153 = 3*c, 2*b = -8*c + 7*c + 296. What is the remainder when b is divided by 5?
2
Suppose 3*l = 5*p + 61, p + 50 = 5*l + 3*p. Let s = 1 + l. What is the remainder when s is divided by 4?
1
Let k(h) = -4*h - 9. Suppose 0 = -v - 4*f + 43, -4*v - 9 + 97 = -5*f. What is the remainder when v is divided by k(-6)?
12
Let b be (-1)/3 - (-33)/(-9). Suppose 241*y - 236*y = 330. What is the remainder when y is divided by 34/b*(-1 - 3)?
32
Suppose i - 11 = -5*d, -2*i - 5 = -7. Suppose 3*x - 127 = -o, 125 = 3*x - 0*x + d*o. What is the remainder when 84 is divided by x?
41
Let h be 0 + (-4 + 1 - 3). Calculate the remainder when h/8 + (-917)/(-28) is divided by 11.
10
Let b = 169 - 41. Calculate the remainder when b is divided by 13.
11
Let s = -333 + 468. Suppose 3*f + 2*n = 135, 3*f + n - s = 6*n. Suppose 2*y - f = -13. Calculate the remainder when y is divided by 5.
1
Let f(k) = -k**3 + 13*k**2 - 7*k - 17. Calculate the remainder when f(9) is divided by 36.
28
Let t(c) = 9*c**2 - 4*c + 14. Calculate the remainder when t(-4) is divided by 16.
14
Suppose -4*s + 0*s + 276 = 0. Suppose -5*q + s - 19 = 0. Let w(j) = -65*j - 2204. What is the remainder when q is divided by w(-34)?
4
Let s be 8/18*(-18)/(-4). Let q be (-3)/((1 + s)/(-3)). Suppose 0 = -3*l + 2*m + 29, -l + m = -2*l + q. What is the remainder when 32 is divided by l?
4
Let r(t) = -t**3 - 7*t**2 - 9*t + 9. Calculate the remainder when 37 is divided by r(-5).
1
Let s = -314 - -531. Suppose -a - 5*u + 37 = 0, 4*a - 2*u = u + s. What is the remainder when a is divided by 14?
10
Let q = -11 - -11. Suppose -28 = -q*y - 2*y. Calculate the remainder when 37 is divided by y.
9
Suppose 8*l - l - 98 = 0. Calculate the remainder when l is divided by 5.
4
Calculate the remainder when ((-38)/(-3) + -3)*3 is divided by 4.
1
Let u = -257 + 297. What is the remainder when 194 is divided by u?
34
Suppose 0 = 80*p - 2257 - 463. What is the remainder when 1018 is divided by p?
32
Let j(x) = 50*x**2 + x - 6. Let c be j(2). Let k = 361 - c. Calculate the remainder when k is divided by 56.
53
Let d = 325 + -300. Calculate the remainder when 138 is divided by d.
13
Let b be 1/(-4 + 23/6). Let q(m) = m**3 + 7*m**2 + 3*m. Let j be q(b). Let a = j - 10. Calculate the remainder when 29 is divided by a.
5
Let n(t) = 2*t**2 - 3*t + 1. Let u(l) = l - 1. Let k be u(3). Let b be n(k). Suppose -g + b*g - 14 = 0. Calculate the remainder when 13 is divided by g.
6
Let m(y) = -y