 6 = -2*n. Let u = 32 - j. Calculate the remainder when u is divided by 6.
2
Suppose -3*l + 3*d + 234 = 0, -l = -4*l - 3*d + 234. What is the remainder when l is divided by 10?
8
Suppose 4*r = -2*o + 52, 63*o - 5*r = 62*o + 40. Calculate the remainder when 107 is divided by o.
17
Calculate the remainder when 90/3*(14 - 6/6) is divided by 7.
5
Let g be ((-32)/(-20) - 2)*-10. Suppose 0 = -2*q + g*t + 110, -2*q - 5*t = 2*q - 272. Calculate the remainder when q is divided by 16.
15
What is the remainder when 106 is divided by (166 + -1)*30/50?
7
Let h(j) = -6*j + 10*j + 4*j. Let b(n) = 3*n + 10. Let k be b(-3). Calculate the remainder when 13 is divided by h(k).
5
Let z = 744 - 651. What is the remainder when z is divided by 16?
13
Suppose 4*x - 2*g - 156 = -3*g, -156 = -4*x + 3*g. Let d be (-2)/6 - (-13)/x. Suppose d = 3*f - 3 - 6. Calculate the remainder when 5 is divided by f.
2
Let f(h) = 23*h + 216. What is the remainder when 197 is divided by f(-9)?
8
Let s = 856 + -837. What is the remainder when -9*(1 - 18/2) is divided by s?
15
Suppose 0 = -46*r - 256 + 16678. What is the remainder when r is divided by 24?
21
Calculate the remainder when 68 + 1 + 1/(-4)*-4 is divided by 18.
16
Let l(q) = -q**3 + 13*q**2 + 5*q - 17. Let u be l(12). Let b = -84 + u. Calculate the remainder when b is divided by 15.
13
Let i(l) = 45 + 11*l + 13*l**2 + 5*l**3 - 24 - 4*l**3. What is the remainder when 97 is divided by i(-12)?
31
Suppose -j + 4*n - 17 = 35, -3*n = -5*j - 192. Let u = 109 + j. Calculate the remainder when u is divided by 25.
23
Let v = 777 - 591. What is the remainder when v is divided by 15?
6
Suppose 288 = 2*w + 2*w. Let s be (6 - 5) + 3 + -1. Suppose -5*v = 5*o - 145, 3*o = s*v + v + 59. What is the remainder when w is divided by o?
22
Suppose 14*g - 25193 = -47*g. Calculate the remainder when g is divided by 42.
35
Let l(j) = -37*j + 7. Let z(v) = 19*v - 4. Let q(b) = -3*l(b) - 5*z(b). Let a be q(1). Let n = -8 + a. Calculate the remainder when 20 is divided by n.
6
Let r(u) = u**3 + 5*u**2 - 27*u - 70. Calculate the remainder when 102 is divided by r(-7).
18
Let k = 19 - 17. Let y(d) = 0*d + 5*d - k*d + 7 - 5*d. Calculate the remainder when 47 is divided by y(-3).
8
Let j = 89 - 84. What is the remainder when (j + -3 - -59) + 2 is divided by 22?
19
Suppose -5*g + 420 = 4*m, -m + 32*g - 34*g + 102 = 0. What is the remainder when m is divided by 9?
2
Let y(n) = -n**2 - 8*n - 8. Let x be y(-5). Suppose -5*i + 8 = -x. Suppose -51 = i*a - 126. What is the remainder when a is divided by 14?
11
Let v(x) = 20*x**3 + 4*x**2 + 17*x - 42. Calculate the remainder when v(2) is divided by 52.
12
Let a be ((-6)/(-10))/((-3)/(-60)). Calculate the remainder when 54 + (a/4 - 0) is divided by 20.
17
Let u(s) = 2*s**3 - 3*s**2 + s + 2. Let z(b) = -5*b**3 - 28*b**2 + 10*b + 9. What is the remainder when z(-6) is divided by u(2)?
5
Let r(a) = -2*a - 5. Let q be r(-6). Let v(s) be the second derivative of 4*s**3/3 + s**2/2 - 3*s + 4. What is the remainder when v(q) is divided by 15?
12
Let t = 12 + -8. Suppose -5*l - 3*m + 37 = 0, -3*l - l + 40 = 5*m. What is the remainder when (t/(-6))/(4/(-60)) is divided by l?
0
Let x = 391 + -348. Calculate the remainder when x is divided by 33.
10
Let s = -15 - -26. Suppose -61*u + 28 + 277 = 0. Calculate the remainder when s is divided by u.
1
Suppose 5*c + 2*a - 14 = 0, -4*a + 0 = c - 10. Suppose 1456*b = 1395*b + 88 + 156. Calculate the remainder when b is divided by c.
0
Let v(j) = -2*j**3 + j**2 + 3*j + 1. Let o be 4 + -1 + -1 - 4. Let p(r) = -3*r + 2. Calculate the remainder when v(-2) is divided by p(o).
7
Suppose 9 = 2*g - 1. Suppose -4*q = -g*q + 29. What is the remainder when (-109)/(-2) - (-5)/10 is divided by q?
26
Suppose 5*h + 5*b - 10 = 0, b = 2*h + 4*b - 1. What is the remainder when 0 - 14*3/(-6) is divided by h?
2
Let f(k) = -5*k**3 - 12*k**2 - 2*k + 1. Let t(s) = -4*s**3 - 11*s**2 - s + 1. Let h(i) = 5*f(i) - 6*t(i). Calculate the remainder when 20 is divided by h(2).
6
Let k(u) = -u**2 - 11*u + 3. Let h = -80 + 92. What is the remainder when k(-9) is divided by h?
9
Suppose 4*g = 4*s + 8, -4*s - 7 = -5*g - 2. Let x(p) = p**2 + 5*p + 4. Let j be x(g). What is the remainder when j/(-3) + (-388)/(-12) is divided by 18?
15
What is the remainder when 283 is divided by -1*(-14)/7 - -72?
61
Let j = -3 + 3. Suppose -y + 13 = -2*y - 5*o, j = 4*y - 5*o - 23. Let z = -839 + 840. What is the remainder when y is divided by z?
0
Calculate the remainder when 122 is divided by 8424/260 - (2 + 16/(-10)).
26
Let a(k) be the first derivative of -k**4/4 - 8*k**3/3 + 2*k**2 - 8*k - 12. Calculate the remainder when 109 is divided by a(-9).
35
Suppose 3*w + 27 = 6*w - 3*m, w - 5*m = 21. Suppose w = 5*h - 89. What is the remainder when -1 + -2 + -4 + (53 - 9) is divided by h?
18
Let b = -1186 + 1257. What is the remainder when b is divided by 20?
11
Let v(m) = 3*m**2 + 2*m - 69. What is the remainder when 34 is divided by v(5)?
2
What is the remainder when 90 is divided by 232/10 - 14*7/490?
21
Suppose 4*s = 2*q - 4, s - 2*s + 14 = 2*q. Suppose -54 = -5*w - m, -q*w + w + 2*m = -42. Calculate the remainder when 43 is divided by w.
3
Suppose 554 + 244 = 38*o. Suppose -91 = -3*c + 212. What is the remainder when c is divided by o?
17
Suppose 4*k = 4*m - 32, -m - k = -3 - 3. Let r(z) = z**2 - 5*z + 14. Calculate the remainder when 83 is divided by r(m).
27
Let q(y) = -2*y**2 + 100*y + 44. What is the remainder when q(41) is divided by 112?
110
Let y be (-24)/20*(-20)/12. Let m(z) = 40*z - 14. What is the remainder when m(y) is divided by 35?
31
Suppose 2*m = 5*w - 10, 3*m - m + 5*w - 10 = 0. Suppose m = -6*l + 1 + 185. Suppose -l = -s - 11. Calculate the remainder when s is divided by 11.
9
Suppose -2*p + p + 79 = 0. Let r(o) = -6*o**2 - 140*o - 19. Calculate the remainder when p is divided by r(-23).
25
Suppose 0 = b - 3*b - 4. Let c(z) = -56*z - 12. Calculate the remainder when c(b) is divided by 17.
15
Suppose 3*c + 13*w - 68 = 8*w, 2*w = -2*c + 44. What is the remainder when 123 is divided by c?
18
What is the remainder when 45 is divided by (-24 + (6 - 6))*-1?
21
Let z = 30 + -25. Suppose 0 = 2*x - x + z*q - 1, 4*x + q - 42 = 0. What is the remainder when 64 is divided by x?
9
Suppose a = 2*g - 46, -g + 92 = 3*g - 4*a. Calculate the remainder when 67 is divided by g.
21
Let y(a) = -1. Let r(q) = -q + 2. Let x(z) = r(z) - 4*y(z). Suppose 0 = 3*c + 15, c - 3*c = 3*f + 52. Calculate the remainder when x(f) is divided by 6.
2
Let t(g) = 32*g - 115. What is the remainder when 93 is divided by t(4)?
2
Let q = -67 - -63. Calculate the remainder when 55 is divided by (6/q)/((-3)/58).
26
Let r(m) = 5*m**2 - 35*m + 12. What is the remainder when r(7) is divided by 7?
5
Suppose 378 - 74 = 19*h. Suppose 730 = h*f + 42. What is the remainder when f is divided by 24?
19
Suppose 9*l - 4*l + 17 = -p, 4*l + 14 = -p. Let k(u) = u**2 + u - 4. Let q be k(l). Suppose -x = -q + 1. Calculate the remainder when 1 is divided by x.
0
Let y = 18 + -4. Suppose 0 = -7*o - 279 + 909. Suppose 0 = 2*d - 2*q - o, 3*d + 2*d - 2*q = 210. Calculate the remainder when d is divided by y.
12
Let m(j) = 2*j**3 - j**2 + 2*j + 17. Calculate the remainder when (62 - -4) + (-1)/1 is divided by m(0).
14
Suppose -1568 = -3*d - 4*y, 12*y + 1563 = 3*d + 15*y. What is the remainder when d is divided by 65?
61
Let u be (-624)/20 - (-2)/10. Let g = u + 52. Calculate the remainder when g is divided by 12.
9
Suppose 149 = -5*u + 479. Let k(x) = -x**3 + 15*x**2 - 15*x + 1. Let z be k(14). What is the remainder when 67 is divided by z/(-26) + u/4?
16
Let a(f) = 26*f**2 - f + 1. Let w be a(-1). Let q = 39 - w. What is the remainder when q is divided by 7?
4
Suppose m + 3*b = 0, -5*m + 3*b = 7*b. Suppose m = -6*o + 5*o + 2. Let k = -11 - -12. What is the remainder when o is divided by k?
0
Suppose -b + 10 = -0. Suppose 6*d - b - 20 = 0. What is the remainder when d is divided by 4?
1
Let r(m) = 4*m**2 - 7*m - 4. Let g be r(6). Suppose -3*u = -g + 71. Calculate the remainder when u is divided by 8.
1
Calculate the remainder when 4/12 - (-10)/15*790 is divided by 12.
11
Let o(v) = 2*v + 2. Let s be o(0). Suppose -4*b + 2*l + 27 + 35 = 0, 4*b - 50 = -s*l. Let w = b - 0. Calculate th