. Let s = l - 48. What is the remainder when s is divided by 23?
22
Suppose 5*w = -24 + 84. Let k be 4/6*w*-1. Calculate the remainder when (-55)/(-3) + k/(-12) is divided by 5.
4
Let u(j) = -2*j - 15. Calculate the remainder when 7 is divided by u(-10).
2
Suppose 2*g - 165 = -2*g - 3*y, 198 = 5*g + y. What is the remainder when g is divided by 10?
9
Let s = -2 + 6. Suppose y = 2*p - 1, -3*p + 0 = -y - s. Suppose 102 - 32 = y*d. Calculate the remainder when 53 is divided by d.
11
Let c be (1 - 7/(-2))*-2. Let j = 56 - 25. What is the remainder when j is divided by -3*2/c*24?
15
Let g(c) be the first derivative of c**3/3 - 7*c**2/2 - 9*c + 5. What is the remainder when g(13) is divided by 18?
15
Let f(h) = -4*h + h - 3*h + 4*h**2 + 4*h. What is the remainder when f(3) is divided by 16?
14
Suppose -2*j + 5*j = -18. Suppose -d = d - 2, -3*r - 3*d = -12. Calculate the remainder when (j/(-4) - 2)*-14 is divided by r.
1
Suppose -58 = -5*k - 2*y, 0 = -4*k - y - 2*y + 52. What is the remainder when k is divided by 3?
1
Suppose 3*a - 173 = -4*z + 24, a = 3*z + 44. Suppose 3*x - 69 + 24 = 0. Calculate the remainder when a is divided by x.
14
Suppose -2*w - 3*d = -12, 5*w + d = -0*d + 17. Suppose 0*g = -w*g + 93. Calculate the remainder when g is divided by 16.
15
Let c = -28 - -35. Calculate the remainder when 20 is divided by c.
6
Suppose 3*m + 2*h - 36 = 0, 3*m + 0*h = 4*h + 36. What is the remainder when 20 is divided by m?
8
Suppose -24 = -4*j + j. Let i(s) be the second derivative of s**3/3 - 3*s**2 - s. Calculate the remainder when i(j) is divided by 6.
4
Let n = -33 - -55. Suppose -3*z + 2*z = 5*c - 14, 3*c - z - 2 = 0. Suppose 3*p - 3*o = 27, -2*p + c*o + 19 = -o. Calculate the remainder when n is divided by p.
6
Let o(c) = c**2 - c + 8. Let f(s) = -s**2 + 7*s + 3. Let m be 35/5 - 0/(-1). Calculate the remainder when o(0) is divided by f(m).
2
Suppose -b + 4*x + 32 = b, 5*x + 25 = 0. Calculate the remainder when 23 is divided by b.
5
Let j = 8309 + -5453. Let g be j/18 + (-2)/(-6). Suppose 0 = -5*d - 44 + g. What is the remainder when d is divided by 12?
11
Let c be (-247)/(-3) + 1/(-3). Calculate the remainder when -2*2/((-8)/c) is divided by 14.
13
Let o(r) = 2*r + 2. Let s be o(4). Let k = 19 - s. Calculate the remainder when k is divided by 4.
1
Let m be 1089/(-6) + 2/4. Let u(p) = -3*p + 4. What is the remainder when 4/(-16) + m/(-4) is divided by u(-4)?
13
Let d(k) = -k + 2. Let o be d(-5). Suppose -4*r = -o - 1. Suppose -3*j + 57 = 4*q, 4*j - r*q = -0*q + 54. What is the remainder when j is divided by 8?
7
Let q be ((1 - 7) + 2)*-4. Suppose 3*m = -m + q. Calculate the remainder when (9/6)/(6/56) is divided by m.
2
Suppose -i - 2*l = -3, 3*l - 13 = -4*i + 4. Suppose 3*u = u - i*s - 16, s = -2*u. Suppose -u = -4*h + 10. Calculate the remainder when 4 is divided by h.
1
Suppose -4*b + 8 = 0, 2*s - b - 4 = -0*b. Suppose -5*a + 187 = 3*t, 0*t = 5*a - s*t - 193. Calculate the remainder when a is divided by 20.
18
Suppose i - 12 = -i. Calculate the remainder when 17 is divided by i.
5
Let b(r) = -r**3 - 3*r**2 + 12*r - 4. Let y be b(-6). Let i = -20 + y. Calculate the remainder when 46 is divided by i.
10
Suppose 5*y = -2 + 47. Calculate the remainder when 78 is divided by y.
6
Let a(s) = s**3 - s**2 + s + 1. Let o(w) = -10*w**3 - 5*w**2 + 4*w + 4. Let j(b) = -3*a(b) + o(b). Calculate the remainder when j(-2) is divided by 24.
23
Suppose -4*t = 2*c - 68, -t - 3*c = -4*c - 20. What is the remainder when 35 is divided by t?
17
Let c be (-1)/((-3 + -1)/8). Suppose 2*f + c*r = -0*r + 32, 80 = 5*f - r. Calculate the remainder when 77 is divided by f.
13
Suppose -2*i = -1 - 3. Suppose -i*n + 6 = 2*l, 2*l - n = l - 5. Let t = l - -2. What is the remainder when t is divided by 1?
0
Suppose -2*r - 2 = 0, 3*i + i + 3*r - 77 = 0. What is the remainder when 86 is divided by i?
6
Suppose -2*t + 31 = 4*g + 1, 0 = -5*t + 2*g + 51. What is the remainder when 40 is divided by t?
7
Calculate the remainder when 2 + (-2)/((-8)/820) is divided by 21.
18
Suppose -3*m = 0, -2*i - 5*m = -7*i + 120. Suppose -3*w = -6 - i. What is the remainder when 38 is divided by w?
8
Let q(y) = 20*y - 13. Calculate the remainder when q(3) is divided by 8.
7
Suppose -o + 15 = 2*o. Calculate the remainder when o is divided by 4.
1
Let x(b) = b**2 + 4*b. Suppose 0 = -3*d + 8*d. Suppose -7*w + 4*f = -3*w - 148, -3*w - f + 99 = d. What is the remainder when w is divided by x(-6)?
10
Let a(o) = 0 - 6*o - 2 + 4. Let w(v) = -9*v + 4. Calculate the remainder when w(-4) is divided by a(-2).
12
Suppose 0 = -4*d + 153 - 17. Calculate the remainder when d is divided by 2.
0
Let v be ((-2)/(-4))/((-4)/(-8)). Let q = -2 + v. Calculate the remainder when 22 is divided by 1/(q - (-26)/24).
10
Suppose 0 = -4*m + w + 50, 3*m + w = 6*w + 29. What is the remainder when (-378)/(-15) + (-4)/20 is divided by m?
12
Calculate the remainder when 1 + -129*5/(-15) is divided by 15.
14
Suppose -2*w = -0*w - o - 12, -4*w + 4*o = -28. Suppose w = 2*z - 7. What is the remainder when 10 is divided by z?
4
Let b = 30 - 15. Let r(p) = 2*p - 4. What is the remainder when b is divided by r(5)?
3
Let h be (-8)/40 + 32/10. Let l(v) = v**3 + v**2 - v + 2. Let i be l(0). Calculate the remainder when 33*1 - (h - i) is divided by 11.
10
Let c(h) = 44*h**3 - h**2 + 2*h - 1. Let y(i) = -16*i. Let r be y(-1). Suppose -76 = -4*w - r. What is the remainder when c(1) is divided by w?
14
Let y(i) = 24*i + 3. What is the remainder when y(3) is divided by 19?
18
Let h = -36 + 26. Let l = -8 - h. Suppose 0 = l*a - 4, -s + 16 = -2*a + a. Calculate the remainder when 35 is divided by s.
17
Let f(q) be the second derivative of -q**4/12 - 11*q**3/6 + 3*q. What is the remainder when f(-5) is divided by 11?
8
Suppose -3*y = 12 - 45. What is the remainder when 43 is divided by y?
10
Let y = 12 - 7. Suppose -3*l = -l + 5*n - 51, l - y*n = 18. Suppose -4*w - 3*o = -17, -w + 18 + 15 = -5*o. Calculate the remainder when l is divided by w.
7
Suppose -4*s + 33 = -35. Suppose 3 = 2*o - 7. What is the remainder when s is divided by o?
2
Suppose 17*m - 10 = 16*m. Let k = m - -62. Calculate the remainder when k is divided by 25.
22
Suppose -i - 128 = -5*i. Calculate the remainder when 93 is divided by i.
29
Let s be 8/6 - 20/(-30). Suppose 3*d = 4*b - 8, 0 = 3*b - s*d - 6. Calculate the remainder when b is divided by 1.
0
Let z be (-4)/(-3) - (-8)/(-24). Suppose -16 = 3*s - 1, 5*c - 3*s - 15 = 0. What is the remainder when 46 is divided by -16*(z - (2 + c))?
14
Let f(n) be the second derivative of n**4/12 + 5*n**3/6 + 3*n**2 - 2*n. Let r = 0 + -4. Calculate the remainder when 5 is divided by f(r).
1
Suppose 0*i - 112 = -4*i. Let h = -158 + 269. Calculate the remainder when h is divided by i.
27
Suppose 2 = 2*a, 4*a + 0*a - 28 = -3*f. Let x(i) = -i**2 + 8*i + 8. Calculate the remainder when 22 is divided by x(f).
6
Suppose -29 = -m - c - 9, 3*m = -4*c + 58. Calculate the remainder when 84 is divided by m.
18
Calculate the remainder when 94 is divided by 3 - (-12 + -1) - -3.
18
What is the remainder when -4 - 1*(-103 - 3) is divided by 26?
24
Let v = -49 - -130. What is the remainder when v is divided by 23?
12
Let m be (-3)/15 + 12/10. Let q(t) = 6*t**3 + t**2 - t + 1. Let u be q(m). Let f(x) = 2*x**2 - 9*x + 3. What is the remainder when f(u) is divided by 20?
18
Let l(p) = -2 - p + 0*p + 2*p + 4. Let x be l(-1). What is the remainder when 24 is divided by (x - 27)/(1 - 3)?
11
Let w = -102 + 103. What is the remainder when ((-2)/4)/((-1)/2) is divided by w?
0
Let a(c) be the third derivative of -c**6/120 - c**5/20 + c**4/4 - 2*c**3/3 - 7*c**2. Calculate the remainder when 46 is divided by a(-5).
14
Let c(r) = r - 3. Calculate the remainder when c(17) is divided by 4.
2
Suppose 48 = 3*x - 3*r, 0*r - r = 5*x - 62. Calculate the remainder when x is divided by 3.
1
Suppose -l = 0, -2*l - 22 = -3*k + 89. Suppose -f = 2*f + 3*j - 69, -52 = -2*f - 4*j. Calculate the remainder when k is divided by f.
17
Suppose k - 5 - 8 = 0. What is the remainder when k is divided by 3?
1
Let i = -5 + 12. What is the remainder when ((-130)/(-25))/(2/10) is divided by i?
5
Let m(z) = z**3 - 10*z**2 - 9*z - 4. Let t(c) = -2*c**3 + 20*c**2 + 18*c + 8. Let v(a) = -7*m(a) - 4*