divided by 14.
12
Suppose -14*g + 60 = -11*g. Calculate the remainder when 97 is divided by g.
17
Suppose 10*v - 174 = 7*v. Suppose -4*f = 3*c - 53, 5*f - 11 - v = -c. What is the remainder when 52 is divided by f?
10
Let u = 5 + -2. Suppose 0 = -0*m - 8*m - 64. What is the remainder when ((-14)/m)/(12/48) is divided by u?
1
Suppose -2*z + 672 = -104*c + 105*c, -3*c + 1340 = 4*z. Calculate the remainder when z is divided by 164.
10
Suppose 3*g + 5*i = 119, g + 4*g = -2*i + 192. Calculate the remainder when 2 - 2 - (-1 - g) is divided by 4/(5 + (-132)/28).
11
Let z = 23 + -35. Let y = -6 - z. Let w(i) = 2*i + 6. What is the remainder when 51 is divided by w(y)?
15
Let s(b) = -2*b**3 + b - 1. What is the remainder when 44 is divided by s(-2)?
5
Suppose -78*k = 27*k - 7035. Suppose -3*n = -38 - 13. What is the remainder when k is divided by n?
16
Let x be 325/(-45) + 2/9. Let f(k) = 2*k**2 + 9*k - 7. Calculate the remainder when f(x) is divided by 10.
8
Let y = -1721 + 1776. Calculate the remainder when 1703 is divided by y.
53
Let a = -4084 - -4109. Suppose 0 = -3*k + 6*k - 12. What is the remainder when a is divided by k?
1
Let h(g) = -50*g + 17. Calculate the remainder when h(-9) is divided by 78.
77
Let b(m) = 9*m**2 + 4*m - 3. Let o(l) = -7*l + 5. Let f(a) = -15*a + 11. Let p(z) = -2*f(z) + 5*o(z). What is the remainder when b(3) is divided by p(-4)?
21
Suppose -4*l + 145 = 97. Calculate the remainder when 414 is divided by l.
6
Suppose 1 - 9 = -4*l. What is the remainder when (2 - 4)*6/(-4) is divided by l?
1
Let q(i) = -17*i + 1. Let s(o) = 8*o - 1. Let y(b) = 6*q(b) + 13*s(b). Calculate the remainder when y(14) is divided by 8.
5
Let z be ((-335)/(-35) - 1)*7. Let c = z - -20. What is the remainder when c is divided by 21?
17
Suppose -465 = -3*x - 35*h + 37*h, -4*x + 620 = -4*h. Calculate the remainder when x is divided by 53.
49
Let k(v) = 3*v - 14. Let g be k(5). Calculate the remainder when 93 is divided by (g + 23 - 0)/1.
21
Suppose 0 = -25*s - 0*s + 12550. What is the remainder when s is divided by 56?
54
Let w be 82*((-9)/(-6))/(2/6). Suppose 8*v = -v + w. Calculate the remainder when v is divided by 7.
6
What is the remainder when (-52)/(-2) - (6 - 11) is divided by (-4)/(-5)*5 - (-1 + -3)?
7
Suppose 2*g - f - 89 = -0*f, 163 = 4*g + f. Suppose -5*m - g = -2*r + 3, -87 = -5*r + 4*m. Calculate the remainder when 44 is divided by r.
14
Let x(w) = w**2 + 9*w - 9. Calculate the remainder when 73 is divided by x(3).
19
Let v(c) = c**2 + 10*c + 26. Let i be v(-8). Suppose 223 = i*f - 17. What is the remainder when f is divided by 14?
10
Suppose s - 8 - 3 = -3*g, 2*s = -g - 3. Suppose -t - 4*t = -g. Suppose 2*j = 2 + 4. Calculate the remainder when j is divided by t.
0
Suppose -21*w = -92 - 118. Let s(u) = u**2 - u - 1. Suppose 4 = n - 1. What is the remainder when s(n) is divided by w?
9
What is the remainder when 75 is divided by 22 - (12/2 - (1 + 0))?
7
Let v(r) = r**3 - 22*r**2 + 28*r + 31. What is the remainder when v(21) is divided by 20?
18
Suppose 4*h + y = -3 - 4, -h = -3*y + 5. Let i be -1*(h - 1) + 0. Calculate the remainder when -1 + (-135)/((-9)/i) is divided by 15.
14
Let o(f) = -f**3 + 22*f**2 + 50*f + 14. Let p be o(24). Suppose -5*a - 2*c + 74 = 0, 5*a - p = 3*c + c. What is the remainder when 25 is divided by a?
11
Let b = -15 - -18. Suppose 5*y = 5*w + 9*y + 5, y + 8 = w. Calculate the remainder when b is divided by w.
0
Let s = -179 + 261. Calculate the remainder when 171 is divided by s.
7
Let x(u) = -13*u - 50 + 10*u + 29*u. Calculate the remainder when x(5) is divided by 28.
24
Suppose -3*o + 32 + 10 = 0. Suppose 43 = -8*z - 21. What is the remainder when ((z/10)/2)/(6/(-390)) is divided by o?
12
Let d = -93 + 103. Calculate the remainder when 44 is divided by d.
4
Let x(r) = r**3 + 2*r**2 - 29*r + 88. Calculate the remainder when x(3) is divided by 8.
6
Suppose 4*b + 3*d - 147 = 0, d - 3 + 2 = 0. Calculate the remainder when 47 is divided by 600/b - 2/(-6).
13
Suppose 5*a = i + 768, 4*a - 374 - 240 = i. Suppose -3*g + 85 = h, 0*h + 2*h - 2*g = a. Let n = 32 - 16. What is the remainder when h is divided by n?
15
Suppose 3*f + 3*a + 27 = 3, 3*a - 6 = 2*f. Let s be ((-14)/(-6) - 2)*f. Calculate the remainder when s/(-4) + 38/4 is divided by 4.
2
Let b(d) = 2*d**2 - 4*d - 6. What is the remainder when b(-3) is divided by 13?
11
Suppose -5*x + 2*n + n = 10, 5*n + 8 = -4*x. Let u be 10*((-9)/6 - x). Suppose -r = -5*r, r = -u*b + 120. Calculate the remainder when 93 is divided by b.
21
Suppose -20 = 12*a - 164. What is the remainder when 57 is divided by a?
9
Suppose -5*s + i - 115 = -0*i, 4*s + 4*i = -92. Let l be 2/5 - s/5. Suppose l*y - 48 = -8. What is the remainder when 22 is divided by y?
6
Suppose 5*l - 2*v - 2*v - 638 = 0, 4*l = -3*v + 498. Let i = -1 + l. What is the remainder when i is divided by 26?
21
Let r(y) = -y**3 - 2*y**2 + 4*y + 12. Calculate the remainder when 112 is divided by r(-5).
45
Let g(t) = -3*t**2 - 39 + 3*t**2 + t**2 + 4*t + 44. Calculate the remainder when 76 is divided by g(-7).
24
Let a(x) = -x**3 + 4*x**2 - 1. Suppose 8 = 5*y - 4*u - 29, 3*y - 5*u = 30. What is the remainder when a(2) is divided by y?
2
Suppose 13*z = 3*z + 790. What is the remainder when z is divided by 68?
11
Let p(d) = -10*d - 42. Let x = 108 + -116. Calculate the remainder when p(x) is divided by 20.
18
Suppose 6*t = t + 25. Suppose t*v - 161 = -s, 0*v - 4*v + 127 = -s. Calculate the remainder when v is divided by 9.
5
Suppose -3*b + 4*b - 6 = -5*f, 10 = f - 2*b. Suppose 0 = f*m + 3*m - 85. Calculate the remainder when 26 is divided by m.
9
Suppose -4*g - 4*p = -5*g + 29, 5*g - 195 = -5*p. Suppose 2*m = -0 + 4. What is the remainder when g is divided by 19/1 + -2 + m?
18
Suppose -305 = -3*j + s, -4*j + 413 = 4*s + s. Let k = -72 + j. What is the remainder when k is divided by 4?
2
Suppose -2*m + x - 25 = 0, -2*m - 5*x - 44 = m. What is the remainder when 24/(-10)*325/m is divided by 16?
12
Suppose 2*y - 5*j + 5 = -7, -4*y = j - 20. Suppose 0 = 3*t + v - 634, 5*v - 610 = -y*t + 228. What is the remainder when t is divided by 27?
23
Let k be 7/(147/12)*7. Suppose 0 = -4*q + k. Suppose -3*z + q + 17 = 0. What is the remainder when 17 is divided by z?
5
Let v = 87 - 71. What is the remainder when 62 is divided by v?
14
Suppose 27 = -7*l + 9*l - i, -4*i = -l + 10. Calculate the remainder when 51 is divided by l.
9
Let x = -673 + 718. What is the remainder when 78 is divided by x?
33
Suppose -2*q - 301 = -329. What is the remainder when 207 is divided by q?
11
Calculate the remainder when (201/(-670) - (-106)/20) + 175 is divided by 11.
4
Let x be -2 + 3 - 0 - 1. Suppose v + 2*c - 11 = 0, 3*v = -x*c - c + 18. Let z = 7 - v. What is the remainder when 4 is divided by z?
0
Let g(h) = -h**3 - 10*h**2 - 26*h + 3. Calculate the remainder when 75 is divided by g(-7).
37
Suppose 3*z + 6*b = 2*b + 507, 0 = -2*z + 2*b + 352. Suppose -5*v + 167 + z = 0. Let u = v + -32. What is the remainder when 142 is divided by u?
34
Suppose -65*x = -66*x + 1259. What is the remainder when x is divided by 70?
69
Let n(w) = w. Let t(y) = 28*y - 1. Let p(s) = 4*n(s) - t(s). What is the remainder when p(-3) is divided by 19?
16
Let i(f) = f**3 - 11*f**2 + 7*f - 39. What is the remainder when 303 is divided by i(11)?
37
Suppose -4*j - 6*p = -4*p - 54, -3*p = -4*j + 69. Calculate the remainder when 47 is divided by j.
2
Let d(r) = -2*r**3 - 7*r**2 + 16*r - 8. Let g(h) = -h**3 + h**2 + h + 1. Let f(q) = d(q) - 3*g(q). Calculate the remainder when 96 is divided by f(9).
21
Suppose 21*y - 48 = 18*y - 3*x, -3*x = 4*y - 63. Calculate the remainder when y is divided by 4.
3
Let i = -365 - -417. Calculate the remainder when 152 is divided by i.
48
Suppose 0 = 3*a - 7 - 26. Suppose h - 5*n = 26, 5*h = -0*h - n + 260. What is the remainder when h is divided by a?
7
Let y(k) = -3*k**3 + 2*k**2 + k - 1. Let f be (-2)/(-4) + 15/(-6). Let p = -5050 + 5066. Calculate the remainder when y(f) is divided by p.
13
Let v(p) = 2*p**2 - 6*p + 2. Suppose -5*m + 89 = -2*l + 3635, -3*m - 2136 = -4*l. Calculate the remainder when ((-4)/(-6))/((-8)/m) is divided by v(4).
9
Let p be (-2 - (-3)/3)/((-4)/(-16)). Let k(y) = -y**2 - 2. Let c be k(2). What is the remainder when p*