he remainder when r is divided by l.
3
Suppose 3*s = -y - 29, 2*s = 3*y + 87 - 11. What is the remainder when 15 is divided by (-108)/y + (-12)/78?
3
Suppose -j = -4*g - 11, 5*j + g + 1 = 14. Let i be (-53)/5 - j/(-5). What is the remainder when 20 is divided by (0 - -1 - i)/1?
9
Let x be (-22)/4 - (-2)/4. What is the remainder when (-1 + -23)*x/2 is divided by 31?
29
Suppose -7*o + 75 = -2*o. Let s = -7 + o. Suppose -4*n = -2*a + 64, 0*n - 47 = -a + 5*n. Calculate the remainder when a is divided by s.
6
Suppose -k - k - 5*s + 106 = 0, -212 = -4*k - 3*s. What is the remainder when k is divided by 19?
15
Suppose x = -4*d + 109, 14 = -2*d + 5*x + 41. Suppose m - 21 = d. Let v = m + -25. What is the remainder when v is divided by 12?
10
Let w(a) = -a + 8. Let s be w(6). Suppose 0*o - 4*o + 50 = -s*m, -m + 5*o = 25. Let t = m + 38. What is the remainder when 38 is divided by t?
12
Suppose 4*h - 28 = 4. Suppose m + h = -m. Let y(x) = x**3 + 6*x**2 + 5*x - 2. Calculate the remainder when y(m) is divided by 6.
4
Let b = -48 - -58. Calculate the remainder when 48 is divided by b.
8
Suppose -2*c - 4*p = -52, 0*c + c - 5*p - 19 = 0. Calculate the remainder when c is divided by 9.
6
Let r(w) = w**2 - 3*w - 3. Let d(z) = -2*z**3 + z**2 - 1. Suppose -3 = -3*q - 6. Calculate the remainder when d(q) is divided by r(4).
0
Suppose 752 = 5*f + 3*z + 241, -3*f = -z - 301. Calculate the remainder when f is divided by 26.
23
What is the remainder when 76/(-6)*-1 - 9/(-27) is divided by 8?
5
Let q be (36/21)/(1/7). Let w = 26 - q. What is the remainder when 26 is divided by w?
12
Let q(c) = -c + 10. Let o be q(6). Suppose -o*v - 8 = -76. Let x = 10 + -4. What is the remainder when v is divided by x?
5
Let b be 80/(-15)*6/(-4). Let q(v) be the second derivative of v**5/20 - 7*v**4/12 - 7*v**3/6 - v**2/2 + v. What is the remainder when 19 is divided by q(b)?
5
Let u = -12 + 20. Let r(h) = 2*h - 2. What is the remainder when r(u) is divided by 8?
6
Suppose -7*p + 50 = -6. Calculate the remainder when 28 is divided by p.
4
Suppose 3*t - 5*t = 0. What is the remainder when 55 + t + -3 + 5 is divided by 15?
12
Suppose -4*p + 3*p = 4. Let o be ((-20)/(-6))/(p/12). Let b = 19 + o. What is the remainder when 17 is divided by b?
8
Suppose 0 = -0*n - 5*n - 90. Calculate the remainder when 18 is divided by ((-12)/n)/((-4)/(-42)).
4
Suppose 4*z - 7 = 9. Suppose 3*b + 5*i = 21, 23 = z*b - 0*b + 5*i. Let f(r) = -2*r**3 - 3*r**2. Calculate the remainder when f(-2) is divided by b.
0
Suppose 0 = 3*c - 9, -c + 29 + 89 = 5*b. What is the remainder when 43 is divided by b?
20
Suppose c + 2*c = 174. Suppose 0 = -5*x - 0*x + 10. Suppose 40 = x*f - 0*f. What is the remainder when c is divided by f?
18
Let c(w) = -w**2 - 3*w - 1. Suppose q - 2 = 3*l - 4, -q - 4*l - 2 = 0. Let v = 4 + q. What is the remainder when v is divided by c(-1)?
0
Suppose 5*f = 3*f - 8, -4*b + f = -32. Suppose 5*r + 25 = 0, -4*r = 3*h - 2*r - 29. What is the remainder when h is divided by b?
6
Suppose 27 = 5*j + 2. Suppose m + 2*k - 8 = -2*k, j*m = 5*k + 165. Suppose -2*o + 40 = 2*o. What is the remainder when m is divided by o?
8
Let p = 4 - 4. Let k(v) = v**3 - 5*v**2 + 3*v - 7. Let r be k(5). Suppose -f + r = -p*f. What is the remainder when f is divided by 3?
2
Let l(z) = z**3 + 5*z**2 + 2*z + 4. Let n be -3 - (4 + 4/(-2)). Let c be l(n). Calculate the remainder when 20 is divided by (-70)/(-6) - (-4)/c.
9
Suppose 0 = -5*p + 2*p. Suppose 5*n + 0*k + 2*k - 67 = p, k = 1. Calculate the remainder when (-32 - 5)/(-2 + 1) is divided by n.
11
Let q be (-9 + 7)/((-2)/46). Suppose -2*v - 5*k + q = 0, -5*v = -k - 0*k - 88. What is the remainder when v is divided by 10?
8
Suppose 16 = -2*v + 4*v. What is the remainder when 61 is divided by v?
5
Let c(r) = 13*r**3 - r**2. Let u(z) = -z**3 + z**2 + 1. Let x(j) = -c(j) - u(j). Suppose -3*t = -t - 8. What is the remainder when x(-1) is divided by t?
3
Suppose 0 = 2*v, -g + 0*g + 5*v = -1. Let m(b) = 62*b**3 - b + 1. Calculate the remainder when m(g) is divided by 16.
14
Let l = 33 - -19. Let y(x) = -x**3 + 11*x**2 + 14*x - 6. Calculate the remainder when l is divided by y(12).
16
Let t(c) = -c**2 + c + 11. What is the remainder when 2 - (-2 + 5 + -43) is divided by t(0)?
9
Let p(z) be the first derivative of z**4/4 + 2*z**3 + z**2 - 7*z - 4. What is the remainder when 22 is divided by p(-5)?
6
Suppose 0 = 4*a - 16, -z - 5*a + 3 + 20 = 0. Let t = 7 + z. Let f = 34 - 6. Calculate the remainder when f is divided by t.
8
Suppose -3*h = h - 52. Suppose -4*i - h = -197. Calculate the remainder when i is divided by 12.
10
Let l be (0 + 1)*(-6)/2. Let m be (-1)/(((-6)/(-4))/l). Let a(i) = 15*i + 1. What is the remainder when a(m) is divided by 11?
9
Suppose 166 - 9 = h. What is the remainder when h is divided by 16?
13
Let g(y) = y - 6. Let r be g(6). Suppose 0*d - 3*d + 3 = r. Let f(j) = j + 8. Calculate the remainder when f(-6) is divided by d.
0
Let t = -5 - -9. Suppose 0 = 3*y - 8 - 4. Suppose 5*v + 45 = 5*b, y*b - 52 = -t*v - 0*v. What is the remainder when 31 is divided by b?
9
Let f = 13 + -9. Suppose -f*w + w = -45. Calculate the remainder when w is divided by 9.
6
Calculate the remainder when 226 is divided by 1350/35 - (-8)/(-14).
36
Suppose -4*j + 52 = -4*h, -3*h = 2*j - 5 - 1. What is the remainder when j is divided by 5?
4
Let x(o) = -o**3 + 2*o**2 + 4. Let n be x(3). Let g = 7 + n. Let h(b) = 9*b + 1. What is the remainder when h(g) is divided by 10?
9
Let u(w) = 6*w**3 - 2*w**2 + w. Let b be u(1). Suppose 175 = b*r + n, -3*r + 3*n - n + 118 = 0. Calculate the remainder when r is divided by 13.
10
Let n = -3 + 6. Suppose -3*h + 32 = 2*y, -5*y - 16 = 3*h - 78. What is the remainder when y is divided by n?
1
Let a be (3 - 0)/((-4)/8). Let p be (-204)/a*2/4. Let n = -6 + p. What is the remainder when n is divided by 6?
5
Let h = -133 + 160. Calculate the remainder when 133 is divided by h.
25
Let f = 73 - 133. Let i = f + 113. Suppose 3*k + 22 = 2*o, 22 = 3*o - k - 18. Calculate the remainder when i is divided by o.
11
What is the remainder when 9 is divided by (-2)/((-39)/(-15) + -3)?
4
Let w(s) = -4*s + 6 + s - s + 5. Calculate the remainder when w(-7) is divided by 14.
11
Let a(q) = -q**3 - 12*q**2 - 16*q + 2. What is the remainder when a(-11) is divided by 15?
12
Let h be (-4)/(-16)*4 + -103. Calculate the remainder when 9/(-3 - h/33) is divided by 34.
31
Suppose -16 = -5*i + 19. What is the remainder when 18 is divided by i?
4
Let n(y) = -12*y**3 + 2*y**2 - 1. Let v be n(1). Let l = v - -20. What is the remainder when l is divided by 5?
4
Let s be (-13 - -4) + 6/2. Calculate the remainder when 23 is divided by (-3)/s + 115/10.
11
Let f = -4 + 2. Calculate the remainder when 12/(-5 - -2)*f is divided by 3.
2
Suppose -2*l + b + 83 = 2, 5*b = -2*l + 87. What is the remainder when 161 is divided by l?
38
Let w = 20 + -12. Suppose 2*s - 5 = 35. What is the remainder when s is divided by w?
4
Suppose 0*x - 237 = x. Calculate the remainder when (-3)/12 - x/4 is divided by 31.
28
Let h(w) = -w + 10. Suppose -3*c = 5*g - 31, 4*c - 3*c - 3*g = 1. Calculate the remainder when 6 is divided by h(c).
0
Calculate the remainder when 45 is divided by 12/2*(-12)/(-3).
21
Let q(n) = 6*n + 2. Let a be q(5). Suppose -f - 5*k = -37, 5*k + 42 = 2*f - a. Suppose 4*g + f - 101 = 0. Calculate the remainder when 61 is divided by g.
13
Suppose -2*j + 15 = -3. Let n = 9 - 4. Suppose n*z = j*z - 24. Calculate the remainder when 17 is divided by z.
5
Suppose -v + 48 = -d, d + 174 = 3*v + 4*d. Suppose 0 = 2*f - h - 10 - 11, 3*h = 5*f - v. Let g(u) = 2*u**2 - 4. What is the remainder when g(4) is divided by f?
8
Let m(g) = 6*g + 1. Let p(i) = -19*i - 3. Let s(u) = -7*m(u) - 2*p(u). Let r be s(-1). Let a = 4 - r. What is the remainder when a is divided by 1?
0
Suppose 3*t - 69 = -5*c, -2*c + 18 = -t - t. Calculate the remainder when 83 is divided by c.
11
Let d(i) = -i**3 + 10*i**2 + 12*i - 8. What is the remainder when 11 is divided by d(11)?
2
Let a(h) = -10*h**2 - 4 + 38*h**2 - 2*h + 5. Calculate the remainder when a(1) is divided by 14.
13
Let h = -31 + 48. What is the remainder when (-17 - -41)*2*11/8 is divided by h?
15
Let o = 10 - 4. Let i(v) = -v**3 + 8*v**2 - 10*v + 7. Let p be i(o). S