is the remainder when 23 is divided by c?
5
Let k(x) = -9*x**2 - 146*x. What is the remainder when 383 is divided by k(-16)?
31
Suppose 5*y - 28 = 37. What is the remainder when 77 is divided by y?
12
Suppose 0 = 4*c - c. Suppose -7*w + 6*w + 2 = c. Suppose -q = w*t + 2*t - 19, 5*q = -5. What is the remainder when t is divided by 4?
1
Suppose -164 + 212 = 4*g. Let j(h) be the first derivative of 11*h**2/2 + 2*h - 2. Calculate the remainder when j(5) is divided by g.
9
Suppose 3*q + 2*c = 36, -2*q - c + 17 = -2*c. Suppose -8*d - 56 = -q*d. What is the remainder when d is divided by 5?
3
Let m(x) = 2*x**2 - 4*x + 5. Suppose -3*i - 1 = -10. Suppose -s = -6 - i. Calculate the remainder when s is divided by m(2).
4
Let w(f) = -f**3 - 3*f**2 + f + 9. Calculate the remainder when 68 is divided by w(-4).
5
Suppose -4*c + 3*u + u = 436, 0 = 5*c - 4*u + 544. Let k = -20 - c. What is the remainder when k is divided by 25?
13
Let p be 0 - 1*(4 + -4 + 0). Suppose f + 2*m = 3*f - 40, -5*m + 15 = p. Calculate the remainder when 68 is divided by f.
22
Let q = 30 + -36. Let w(p) = -p**3 - 5*p**2 - 6*p - 7. Let z = 16 + 6. Calculate the remainder when w(q) is divided by z.
21
Let s(h) = h**3 + 9*h**2 + 7*h - 3. Let b be s(-8). Suppose 0 - 1 = -r, -b*m + r + 79 = 0. Calculate the remainder when 72 is divided by m.
8
Suppose -p = -2*d + 38, p + 57 = d + 2*d. Suppose 0 = -6*w + 2*w + 28. Calculate the remainder when d is divided by w.
5
Suppose -2*j + 1 = -3. Let i = 21 + j. What is the remainder when i is divided by 8?
7
Let g be (-1)/((-10)/45)*(-2)/(-3). Suppose -99 = -3*z + g*o, 3*z - o = -5*o + 71. What is the remainder when z is divided by 18?
11
Calculate the remainder when -18*(4/10 + 26810/(-525)) is divided by 61.
58
Suppose 5*f - 78 = -u, 0 = -2*u - 11*f + 15*f + 128. Calculate the remainder when 128 is divided by u.
60
Suppose -206 = -3*b + 2*h, h + 80 + 254 = 5*b. Let m = 1 - -12. Let l = b - m. Calculate the remainder when l is divided by 14.
11
Let n(w) = w**2 - 9*w + 23. Let l be n(6). Calculate the remainder when 63 is divided by (-1 + l)/((-4)/(-22)).
19
Let b = 15 + -9. Let m(n) = n**2 + 5*n + 30. Calculate the remainder when m(-5) is divided by (b*1 - 2)*4.
14
Let p be (-403)/(-2) + (-6)/(-4). Let g = p - 145. What is the remainder when g is divided by 20?
18
Suppose 3*f - 4*o - 94 = 0, 3*f + f + o - 157 = 0. What is the remainder when f is divided by 8?
6
Let t(p) = p**3 + 32*p**2 - 18*p + 98. What is the remainder when t(-32) is divided by 52?
50
Let p(t) = t**3 - 27*t**2 - 19*t + 26. Calculate the remainder when p(28) is divided by 57.
50
Suppose 5*c = 222 + 468. Let f = 39 - 28. What is the remainder when c/7 + (-18)/(-63) is divided by f?
9
Let i = -116 + 238. Calculate the remainder when i is divided by 71.
51
Suppose -9*s + 13*s = 3288. Suppose k - 3*k = -4*f - 528, 4*f - s = -3*k. What is the remainder when k is divided by 68?
66
Let j = 498 - 426. Calculate the remainder when 430 is divided by j.
70
Suppose 2*r - 4*m = 34, 3*r - 3*m + 2*m = 26. Suppose 2*g + 70 = r*g. Let j = 25 - 1. Calculate the remainder when j is divided by g.
10
Let y(k) = -15 - 6 - 5 + 2*k. Let z be y(14). Suppose -o - z + 37 = 0. Calculate the remainder when 104 is divided by o.
34
Suppose 3*c + 59 = 2*q, 0 = -5*q - 4*c - c + 185. What is the remainder when q is divided by 18?
16
Let g(n) = n**3 - 10*n**2 - 3*n + 7. Let b be g(10). Let s = -16 - b. Calculate the remainder when 20 is divided by s.
6
Let t(f) = 8*f**2 + 61*f + 61. Suppose -p + 46 = -0*x - 2*x, -2*p = 2*x - 104. Calculate the remainder when p is divided by t(-7).
24
Suppose -8*t = -1642 + 786. What is the remainder when t is divided by 96?
11
Let r be ((-6)/(-9))/(2/6). Suppose 0 = -y + 2*d + 60, r*d + 10 = -0. Let u = y + -29. Calculate the remainder when 39 is divided by u.
18
Suppose -5*a = -266 + 56. Suppose -5*y + 2*d + a = -110, 0 = 2*y + d - 59. Calculate the remainder when y is divided by 18.
12
Let s(m) = -2*m**2 - 26*m + 13. Let f(i) = -2*i - 13. Let l be f(0). Calculate the remainder when 21 is divided by s(l).
8
Suppose 0 = -4*p - p - 140. Let o = 31 + p. What is the remainder when 4 is divided by o?
1
Suppose -32*v = -9*v - 69. Calculate the remainder when v is divided by 2.
1
Let b be (-1333)/3 - (88/24 - 4). Calculate the remainder when 12/(-6)*b/8 is divided by 29.
24
Let d(l) = -6*l**2 - 18. Let w be d(4). Let i = -93 - w. What is the remainder when i is divided by 5?
1
Suppose 0 = -4*t - 6 - 6. Let q = -265 - -302. Calculate the remainder when q is divided by (t/2)/(3/(-20)).
7
Let t be (-6)/(-14) + 6/(-14). Let r(w) = 4*w + 82. Calculate the remainder when r(t) is divided by 22.
16
Suppose 0 = -33*o + 4101 + 1905. What is the remainder when o is divided by 47?
41
Let x = -48 - -145. What is the remainder when x is divided by 28?
13
Let j = 585 + -481. Suppose -5*r - 4*i = -7*i - 150, -4*i = 2*r - 34. Calculate the remainder when j is divided by r.
23
Suppose -27*x - 224 = -43*x. Calculate the remainder when 69 is divided by x.
13
Let a(c) = c + 7. Let r be a(-11). Calculate the remainder when (-3)/r - (-745)/20 is divided by 14.
10
Suppose -2*l + 0 = -8. What is the remainder when ((-180)/(-16))/(1/l) is divided by 23?
22
Let l(s) = 2*s**2 - 3*s - 3. Let d be l(-1). Suppose -d*n = 6*n - 56. Calculate the remainder when 18 is divided by n.
4
Suppose -4*g - 3*y = g + 144, -4*y = -2*g - 42. Let f = 41 + g. What is the remainder when 26 is divided by f?
12
Let p = 265 - 115. What is the remainder when p is divided by 18?
6
Let t = -75 + 60. Let y = t + 28. Calculate the remainder when 50 is divided by y.
11
Suppose o + 115 = 2*l - 0*o, 227 = 4*l + o. Let s(k) = 5*k**2 + 1. Calculate the remainder when l is divided by s(2).
15
Let k be (((-3)/2)/3)/(3/(-1350)). Calculate the remainder when 12 is divided by -2 + 10/6 + k/27.
4
Suppose 4*g - 88 - 68 = 0. Let r(z) = -6*z + 2. Let o(n) = n - 4. Let x be o(3). Calculate the remainder when g is divided by r(x).
7
Let p(h) = -h**3 + 6*h**2 - 3*h + 21. Let j(o) = -o**2 + 11*o + 6. What is the remainder when p(5) is divided by j(10)?
15
Suppose -35*j + 37*j = 10. Calculate the remainder when 72 is divided by j.
2
Let j = -860 + 954. What is the remainder when 561 is divided by j?
91
Suppose -48 = -0*h - 8*h. Let c(f) = f**3 - 6*f**2 - f + 10. Calculate the remainder when 13 is divided by c(h).
1
Let f(g) = -g**2 - 35*g + 91. Calculate the remainder when 131 is divided by f(-36).
21
Suppose -2*i = 7*h - 10*h + 209, -4*h = 5*i - 317. What is the remainder when h is divided by 13?
8
Suppose 19*f = 28*f - 3969. Calculate the remainder when f is divided by 26.
25
Suppose 4*q + 6 = 2*b - 22, 4*b + 4*q = 32. Let v = -555 - -576. Calculate the remainder when v is divided by b.
1
Suppose -4*f - 2*k + 27 = -f, 2*k = 2*f - 28. Suppose 80 = -84*t + 104*t. What is the remainder when f is divided by t?
3
Let a = -16 + 25. Let k(n) = n + 10. Let u be k(a). Suppose 22*r = u*r + 18. Calculate the remainder when 15 is divided by r.
3
Let s = -93 - -141. Let c = -35 - -52. Suppose 2*g = g + c. What is the remainder when s is divided by g?
14
Let a(u) = -2*u - 46. Calculate the remainder when 67 is divided by a(-32).
13
Suppose 50 = -o - 4*o. Let c = o + 8. Calculate the remainder when 3*86*c/(-12) is divided by 11.
10
What is the remainder when 162 is divided by 120/20 - 3/(-3)*36?
36
Let f = 10 + 4. Let j = f + 7. Calculate the remainder when j is divided by 6.
3
Let r = -5 + 20. Suppose -13*s = -r*s + 118. What is the remainder when s is divided by 20?
19
Suppose -9*b + 4*u - 3 = -8*b, 5*b = 2*u + 75. Calculate the remainder when 52 is divided by b.
1
Let n(p) = 10*p**2 + 6*p + 13. Calculate the remainder when n(-2) is divided by 12.
5
Suppose 20*r + 506 = 31*r. What is the remainder when 1055 is divided by r?
43
Let g = -1388 - -1437. Let b(x) = -80*x**3 - 1. Let h be b(-1). Let i = h - 53. Calculate the remainder when g is divided by i.
23
Suppose 65 = 5*u + 50. Calculate the remainder when 61 is divided by u.
1
Suppose -13*r + 48 = -5*r. Calculate the remainder when (-1 - (2 - -5))/((-1)/r) is divided by 17.
14
Suppose s + 1 = 2*l, -l + 5*l + 23 = -3*s. Calculate the remainder when 62 is divided by (-23)/(l + 6 + -5).
16
Let o(n) = -n**3 + n**2 + 244*n