).
32
Suppose 2*z + 4*x = 6*x - 44, 4*z + 96 = 2*x. Let p(i) = 2*i + 71. Calculate the remainder when 130 is divided by p(z).
16
Suppose 3*h - 6 = -0*h. Suppose -29 = o - h*g - 2*g, -58 = 2*o + 4*g. Let t = -23 - o. What is the remainder when t is divided by 3?
0
Suppose 0 = -7*o + 16*o - 342. Let r(y) = 48*y - 4. What is the remainder when r(4) is divided by o?
36
Suppose 558 = -5*g + 11*g. What is the remainder when g is divided by 48?
45
Suppose 3*a + 5*u = 6*a - 22, 3*a = -4*u + 58. Let q(w) = w**2 - w - 15. Calculate the remainder when q(7) is divided by a.
13
Suppose -5*m + q = 35 + 39, -3*q - 48 = 3*m. What is the remainder when m/30 + 1 + 390/4 is divided by 33?
32
Let b = 121 - 42. Calculate the remainder when b is divided by (-4)/8*1*-18.
7
Suppose 75*i - 20 = 73*i. Let q(a) = 11*a - 6. What is the remainder when q(4) is divided by i?
8
Let o be 53 + ((-24)/6 - (-4 - -2)). Let k = o - 34. What is the remainder when k is divided by 10?
7
Let o be (20/16)/(3/12). Let i(h) = h**2 - 5*h + 3. Let z be i(o). Suppose -f + z*f - 36 = 0. Calculate the remainder when 33 is divided by f.
15
Let s(a) = -a**2 + 45*a + 9. Calculate the remainder when s(16) is divided by 25.
23
Let v(l) = 2*l**2 + 12*l + 12. Calculate the remainder when v(-11) is divided by 80.
42
Let b = 52 - 48. Suppose 1 = -3*v + 7, -b*v = 5*k - 593. Calculate the remainder when k is divided by 12.
9
Let o = 52 - 7. Let r(y) = 26*y - 169. Calculate the remainder when o is divided by r(7).
6
Let n = -10 - -21. What is the remainder when 40 is divided by n?
7
Suppose 0*x - 5*x + 4300 = 0. Suppose -11*f + 196 = -x. What is the remainder when f is divided by 33?
30
Suppose 2*l - 238 = 2*m - 10, -l = -3*m - 118. Suppose -9*a + 32 = -l. Let d = 135 + -72. What is the remainder when d is divided by a?
15
Let d = -13 + 15. Suppose 5*w - 165 = 4*a + a, 2*a - d = 0. Calculate the remainder when w is divided by 12.
10
Let k = 539 + -430. Calculate the remainder when k is divided by 24.
13
Let h be (1 + 3/(-6))*8. Let k(q) = 1 + 2*q - 8*q + 17 + h*q. What is the remainder when 87 is divided by k(-6)?
27
Suppose 36*g = g + 3745. What is the remainder when 1497 is divided by g?
106
Let v = 262 - 228. What is the remainder when 133 is divided by v?
31
Let z(w) = -2*w**3 + 36*w**2 + 3. Let a be z(18). Suppose -a*k + 2*k + 86 = 0. What is the remainder when k is divided by 9?
5
Let x(k) = -k**2 + 10*k - 18. Let n be x(4). Suppose n = 2*b - 2*s, -b = b - 4*s - 6. What is the remainder when 13 is divided by b?
1
Let d(l) = l**3 - 5*l**2 + 4*l. Let w be d(4). Suppose 2*z - 5*z + 57 = w. What is the remainder when 73 is divided by z?
16
Suppose -3*w = -2*f - 157, 4*f + 10 = 2*f. What is the remainder when w is divided by 8?
1
Let n(l) = l**2 + 4*l - 20. Let u(v) = 2*v**3 - 3*v**2 - 3*v + 3. Calculate the remainder when n(-10) is divided by u(3).
19
Let o(f) be the third derivative of 1/6*f**3 - 5/12*f**4 + 1/60*f**5 + 3*f**2 + 0 + 0*f. Calculate the remainder when 1 is divided by o(10).
0
Let a = 253 + -20. Calculate the remainder when a is divided by 60.
53
Let a be (-14)/35 + (-46)/10. Let g(n) = n**3 + 6*n**2 - 3*n - 4. Let x be g(a). Suppose -x = -7*q + 5*q. Calculate the remainder when 88 is divided by q.
16
Let d(x) = -x**3 + 5*x**2 + 17*x - 19. Calculate the remainder when d(6) is divided by 13.
8
Let a = 246 + -184. Calculate the remainder when a is divided by 48.
14
Let g(w) = -43*w - 25. What is the remainder when g(-3) is divided by 15?
14
Let t be 7480/25 - (-5)/(-25). Let d = t + -131. What is the remainder when d is divided by 34?
32
Let y(m) = -m - 2. Let q(t) = -t - 3. Let w(i) = -3*q(i) + 4*y(i). Let l = 8 - 1. What is the remainder when l is divided by w(-3)?
3
Let h = 24 - 8. Let s = 1217 + -1212. What is the remainder when h is divided by s?
1
Let d = -3 + 8. Calculate the remainder when 22 is divided by d.
2
Let x = 84 + -29. Let a = -22 + x. Calculate the remainder when a is divided by -4 - (-8*2 + 0).
9
Let z(n) = -n**3 + 3*n**2 + 2*n + 5. Let p be z(3). Suppose -3*h = -p - 19. What is the remainder when 31 is divided by h?
1
Suppose 3*x - 147 = -x + z, 5 = 5*z. Calculate the remainder when 221 is divided by x.
36
Suppose 2*c - 5 - 11 = 0. What is the remainder when 10/c*120/2 is divided by 13?
10
Suppose 6 = 4*d - 14. Let o(p) = 3*p - p**2 + 2*p**2 - 4*p - 4 + 3*p. What is the remainder when o(3) is divided by d?
1
What is the remainder when -8 + 2 - -4 - -40 is divided by (1 - (-106)/9) + 2/9?
12
Let c(y) = 10*y - 12. Let w be c(3). Suppose 4*j - 118 = w. Calculate the remainder when 65 is divided by j.
31
Let m be 24/56 - (-109)/7. Suppose 0 = 4*d - 64 - m. Calculate the remainder when 59 is divided by d.
19
Let r(h) = 6*h**3 + 3*h**2 + 14*h - 41. What is the remainder when r(5) is divided by 123?
116
Suppose -25*s = -39*s + 1400. What is the remainder when s is divided by 17?
15
Suppose -11*h = -47 - 41. What is the remainder when 21 is divided by h?
5
Let d = 213 + -14. Calculate the remainder when d is divided by (-30)/(-105) + (724/14 - 2).
49
Suppose -2*r + 4 + 40 = 0. Calculate the remainder when 105 is divided by r.
17
Let s(l) = 1 + 9*l**2 - 14*l + 2 + 2*l**2 - 12*l**2. Calculate the remainder when 142 is divided by s(-11).
34
Let y = 4 - 7. Let j = y + 39. Calculate the remainder when 141 is divided by j.
33
Let r(p) = -47*p**3 - p**2 - 2*p + 2. Calculate the remainder when 148 is divided by r(-1).
48
Suppose 4*j + j = 75. Let f(w) = -w**2 - 8*w - 3. What is the remainder when j is divided by f(-6)?
6
What is the remainder when 1282/4 + -1 + 2/4 is divided by 19?
16
Suppose 57 = 6*l + 3. Suppose v = -l*v + 700. Calculate the remainder when v is divided by 9.
7
Calculate the remainder when 460 is divided by (34 + -26)*7/4.
12
Suppose 2*i - 4*i - 3*y = 4, 4*y + 12 = -4*i. Let l = i - -17. Suppose -135 = -112*m + 109*m. What is the remainder when m is divided by l?
9
Let o be ((-4)/(-1))/(2/(-9)). Let z = o + -2. Calculate the remainder when 3 is divided by 5/(z/6)*-2.
0
Suppose -4*i = -16 + 4. Suppose i*t - 132 = 4*g + g, -2*t + 90 = -4*g. Calculate the remainder when t is divided by 21.
18
Suppose 280 = -141*t + 146*t. Calculate the remainder when t is divided by 35.
21
Suppose -25 = -5*b - 2*f, 3*b - 11*f - 29 = -15*f. What is the remainder when 21 is divided by b?
0
Suppose -5*k + 85 = 5*x, 0 = -5*x + 4*k + 26 + 14. Suppose x*i - 107 = 85. What is the remainder when 124 is divided by i?
12
Let l(k) = k**2 + 55*k + 743. Let i be 4/2*10/4. Suppose f = 2*u + 17, -2*u = -i*f - 9 + 102. What is the remainder when f is divided by l(-32)?
5
Let i = 0 + 13. Suppose 5*k + 2*c + 183 = 258, 0 = -3*k + 2*c + 29. Calculate the remainder when k is divided by (i*-1 - 1)/(-2).
6
Let v(r) = 3*r + 3. Let o be v(-3). Let k(u) = u**2 + 2*u - 1. Let w be k(o). Let b = w - -3. What is the remainder when b is divided by 14?
12
Let a = 553 + -512. Calculate the remainder when 94 is divided by a.
12
Let q(a) = 2*a**2 + 4*a - 3. Let s be (12/8)/(3/56). What is the remainder when ((-7)/(-2))/(2/s) is divided by q(2)?
10
Suppose -2*q - 3*q - w = 0, q = 3*w. Suppose -5*k + 310 = -q. What is the remainder when k is divided by 16?
14
Let b = 33 + -39. What is the remainder when (-2)/b + (-2)/((-36)/678) is divided by 13?
12
Suppose 11*w = 13*w - 16. Let a = -480 - -485. Calculate the remainder when w is divided by a.
3
Let g = 31 + -18. Suppose -w = 4*n - g, -4*n - 8 = -2*w + 6. Suppose -x + 14 + w = 0. Calculate the remainder when 43 is divided by x.
20
What is the remainder when (-66)/(63/(-28)*1/3) is divided by 5?
3
Calculate the remainder when (0/(-2))/3 + (-7)/(-1) is divided by 2.
1
Suppose -4 = 4*f - 16. Suppose -4*p + 4*m + 11 = -f*p, 0 = 3*m - 6. What is the remainder when 54 is divided by p?
16
Suppose -5 = -11*n - 82. Let c(g) = g**3 + 9*g**2 + 4*g - 31. What is the remainder when c(n) is divided by 23?
16
Suppose 0 = 4*l + 8 - 44. Suppose -5*w - 3*o = -85, 4*w + w = 5*o + 85. What is the remainder when w is divided by l?
8
Let o(w) = -3*w**2 + 3*w. Let r be o(5). Let p = r + 274. Calculate the remainder when p is divided by 27.
25
Let g(d) = d**3 - 4*d**2 - 5*d + 6. Suppose 8*k = 2*k + 48. Suppose 0*v - 32 = -k*v. Calculate the remainder when g(5) is divided by v.
2
Let s(j) =