7. Calculate the remainder when 19 is divided by l.
4
Calculate the remainder when 30 is divided by (-417)/(-18) + 5/(-30).
7
Suppose 2*v = 7*v + 2*q - 196, 4*q + 140 = 4*v. Let p = -22 + v. What is the remainder when 47 is divided by p?
15
Let g(f) = f**3 + 17*f**2 + 14*f - 19. What is the remainder when 49 is divided by g(-16)?
10
Suppose 4*t - 9 = 3. Calculate the remainder when 11 is divided by t.
2
Let u = -42 + 62. Let s(l) = l + 0*l + l**2 - 1 + 2 + 2*l. What is the remainder when u is divided by s(-5)?
9
Suppose 3*g + 27 = 2*y - 2*g, -4*y + g = -45. What is the remainder when y is divided by 2?
1
Let i(q) = 2*q**2 - 25*q - 2. Calculate the remainder when 31 is divided by i(13).
9
Let t be ((-285)/(-6))/((-1)/(-2)). Suppose -4*p = -77 - t. What is the remainder when p is divided by 11?
10
Suppose 0 = -5*z + 20, -a + 243 = 2*a + 3*z. Calculate the remainder when a is divided by 16.
13
Suppose -11*c - 14 = -12*c. Calculate the remainder when 53 is divided by c.
11
Suppose -6*q + 5*m + 36 = -2*q, 2*m = -3*q + 4. Suppose 5*c + 0*c = 5*i + 105, -q*c + i = -69. What is the remainder when 46 is divided by c?
14
Let y(o) = 9*o + 2. Let r be y(2). Suppose 5*c = 7*c - r. What is the remainder when c is divided by 4?
2
Suppose -3*u - 3*x + 273 = 0, -5*u + 2*x + 475 = 3*x. What is the remainder when u is divided by 11?
8
Let v(q) = -q - 4. Let j be v(-6). Suppose 2*x - 18 = -4*a, 0*a = -4*x - j*a + 6. What is the remainder when 23 is divided by x - (0 + (-27)/3)?
7
Let q(d) = -d + 9. Let w(v) = -v**2 + 13*v - 14. Let t be w(11). Suppose -f + 5*f - t = 0. What is the remainder when f is divided by q(7)?
0
Let a(k) = 2*k**2 - 1. Let x(p) = -2*p**3 - 1. Let t be x(-1). Let z be a(t). Suppose -7 = -2*u - z. Calculate the remainder when 5 is divided by u.
2
Let i = -29 + 48. Let q = 37 + -1. Calculate the remainder when q is divided by i.
17
Let n(q) = 7*q**2 - 3*q. Let u be (-2)/(-18)*(3 - -6). Calculate the remainder when (-10)/10*-43*u is divided by n(2).
21
Suppose -d - 14 = -3*d + 2*h, h = 2*d - 16. Let n = d - 4. Suppose -5*o - 65 = -3*v, 3*o = -v + n*v - 94. Calculate the remainder when v is divided by 9.
7
Suppose -4*p + 3*m + 114 = -p, -5*m - 114 = -3*p. Suppose -4*r = -3*r + 6. Let k = r - -26. Calculate the remainder when p is divided by k.
18
Suppose 2*a - 3*d = 3*a - 148, a + d = 150. Let w = a - 74. What is the remainder when w is divided by 26?
25
Suppose 0 = -3*g + 7*g - 36. Suppose -447*r = -449*r + 12. Calculate the remainder when g is divided by r.
3
Suppose u - 6 = 3*b - u, -2*u = 4*b - 6. Calculate the remainder when 23 is divided by 2 - (6 - b)*-1.
7
Let x = -4 + 3. Let r(i) be the first derivative of -5*i**2/2 - i - 1. What is the remainder when 11 is divided by r(x)?
3
Let t(d) = -6*d**3 + d + 1. Suppose 2*b + 22 = -0*b - 5*p, -16 = 4*p. Let f(x) = -2*x**3 + 9*x - 4. Calculate the remainder when f(-3) is divided by t(b).
5
Let i = -38 - -45. Calculate the remainder when 34 is divided by i.
6
Let t = -44 - -73. Let l(z) = -z - 5. Suppose 5*f + 2*u + 57 = 0, 2*f + 60 = -2*f + 2*u. What is the remainder when t is divided by l(f)?
5
Suppose 0*s = -2*s + 22. Suppose -5*m + 3*k = -2 + 380, 5*m = k - 376. Let i = m - -106. What is the remainder when i is divided by s?
9
Suppose -48*h = -51*h + 96. Calculate the remainder when h is divided by 0 + -1*1 + 18.
15
Let b(k) = k + 1. Let m be b(-5). Calculate the remainder when (-6)/33 - (-202)/22 is divided by (-6)/4*(-6 - m).
0
Let l(s) be the second derivative of -s**4/12 - 2*s**3 + 5*s**2/2 - s. Suppose 5*z - 182 = 123. Calculate the remainder when z is divided by l(-11).
13
Let l = 161 - 97. What is the remainder when l is divided by 13?
12
Let p(j) = j + 4. Let z(r) = -r**2 + 11*r - 15. What is the remainder when z(6) is divided by p(4)?
7
Let b(k) = k**3 - 8*k**2 + 8*k - 4. Let m be b(8). Suppose 4*g - m = 80. What is the remainder when g is divided by 19?
16
Suppose -9 = -2*p - 5. Let q(t) = 12*t - 1. What is the remainder when q(p) is divided by 8?
7
Let c(f) = 2*f**2 - 6. Let k be c(-5). Let m = k + 14. What is the remainder when m is divided by 15?
13
Let v be -11 - (0 + 0)*1. Let c = 0 - v. Calculate the remainder when c is divided by 3.
2
Suppose -11 - 59 = -5*j. Calculate the remainder when 65 is divided by j.
9
Suppose -2*i + 60 = -3*f, -4*i + 5*f = -5*i + 43. Calculate the remainder when i is divided by 18.
15
Let d(j) = -6*j + 119. What is the remainder when d(12) is divided by 10?
7
Suppose 0 = -2*v + 3*l + 149, -5*v + 8*l - 5*l = -386. What is the remainder when v is divided by 9?
7
Let d be 24*1 - (-6 + 4). Suppose 0 = 2*m - 26 - d. Calculate the remainder when 51 is divided by m.
25
Suppose 4 = -2*h - 4, 3*h + 72 = -4*u. What is the remainder when (-429)/(-15) + 9/u is divided by 15?
13
Let x(k) = k**2 - 6*k - 3. Let n be x(6). Let q = 8 + n. Suppose -3*j - 2 = 4*f, 3*f - 5*f = 2*j. What is the remainder when q is divided by j?
1
Suppose 24 = 3*g - 30. Calculate the remainder when g is divided by 10.
8
Suppose -2*t = -4*u - 6, -4*t + 3*t = 4*u + 15. Suppose 2*n + 16 = -2*n - 4*y, -5*n + y = 32. Let x = t - n. Calculate the remainder when x is divided by 2.
1
Suppose 10 = w + 1. Suppose 5*b - w = 4*b - 2*g, g - 10 = -b. Calculate the remainder when (0 - 1)/((-9)/279) is divided by b.
9
Suppose -2*o + o + 2 = 0. Suppose o*q + 164 = 4*q. Calculate the remainder when q is divided by 28.
26
Suppose -m = 9 - 34. What is the remainder when 70 is divided by m?
20
Let o be 502/(-1*(-4 + 2)). Suppose o = 7*d + 69. Calculate the remainder when d is divided by 14.
12
Let i = 33 + -3. Suppose 0 = 3*u - 2*u + i. What is the remainder when 13 is divided by u/4*(-2)/3?
3
Suppose 2*q = 4 - 0. Calculate the remainder when 27 is divided by q + 12 - 0/(-2).
13
Suppose 0 = -d + 3*n + 11, -d + 17 = -0*n - n. Let z = 54 - d. What is the remainder when z is divided by 12?
10
Suppose 3*w = -4*p + 43, 3*p = -2*w - 0*w + 28. Let x(q) = q**3 - 5*q**2 + q + 8. What is the remainder when x(6) is divided by w?
16
Calculate the remainder when (13/(-3))/((-3)/81) is divided by 30.
27
Suppose -920 = -11*g - 194. What is the remainder when g is divided by 20?
6
Suppose 4*f - 3*f = p - 10, 0 = f + 5. Let v(d) = -d**3 + 8*d**2 - 8*d + 3. What is the remainder when v(p) is divided by -1*13*12/(-12)?
12
Suppose 5*m - 15 = 0, -k + 2*m + 24 = 4*k. Let r be (-2)/(-7) + (-228)/14. Let y = r - -33. What is the remainder when y is divided by k?
5
Let p be 2/(-5) + 344/10. Let w = p + -18. Suppose 3*f = -2*g + 14 + 12, -3*f = -3*g - 6. What is the remainder when w is divided by f?
4
Suppose -69 = -3*h + 228. What is the remainder when h is divided by 13?
8
Let y be (-89)/(-3) + (-2)/(-6). Let d = -16 + y. Calculate the remainder when 39 is divided by d.
11
Suppose 3*x - g = 5, -g - 6 = -4*x + g. Suppose v + 14 = x*v. Let s = -2 + 7. What is the remainder when v is divided by s?
4
What is the remainder when 61 is divided by ((-30)/40)/(2/(-56))?
19
Let i(m) = -2*m - 8. Let w be i(-9). Suppose q - 9 = -2*l, -2*l = -4*q - 4 - w. What is the remainder when 14 is divided by l?
4
Let i(u) = u**3 - 5*u**2 - 8*u - 9. Calculate the remainder when i(7) is divided by ((-12)/10)/((-2)/15).
6
Let x(d) = 9*d**3 - d**2. Let h be x(2). Let p = 115 - h. Calculate the remainder when p is divided by 12.
11
Let b be (-2 + -1)*16/12. Let a = b + 7. What is the remainder when 7 is divided by a?
1
Suppose 0 = t - 0*t + 3, 0 = 3*m - 5*t - 48. Let i(g) = g - 2. Let p be i(-9). Let z = p - -17. Calculate the remainder when m is divided by z.
5
Suppose -r + 0 = 6. Let c(m) = m**3 + 2*m**2 + 2. Let n be c(-2). Let t = n - r. Calculate the remainder when 23 is divided by t.
7
Let x(h) = h - 4. Let p be x(5). Calculate the remainder when 2 is divided by p - (-1 + (3 - 3)).
0
Suppose 0 = -3*d - d + 12. Suppose d*r = 36 + 18. What is the remainder when 34 is divided by r?
16
Let p = 16 - 14. What is the remainder when (-18)/15*(-20)/6 is divided by p?
0
Suppose 4*z = 3*o - 1, 2 = -3*o + 2*z - 5. Let c = 17 + o. What is the remainder when 22 is divided by c?
10
Let o(q) = 32*q**2 - q - 1. Let s be o(2). Suppose 3*r - m - s = -3, 5*r = -m + 198. Calculate the remainder when r is divided by 14.
12
Suppose 3*t = -7 + 22. Suppose -t*w = -85 - 30. Wh