t g(q) = 4*q**3 - 4*q**2 + 2*q + 1. Let f be g(2). Suppose w + 8*w - 441 = 0. What is the remainder when 10 is divided by 2/3 + w/f?
1
Suppose -5*k - 3*j = -858, 0 = k + k + 2*j - 344. What is the remainder when (15/45)/(1/k) is divided by 6?
3
Let x = -195 - -139. Let h = x - -71. Let g = -58 + 102. Calculate the remainder when g is divided by h.
14
Suppose 0 = 4*l - 4*d - 180, 4*l + d - 175 = -0*l. Suppose -4*m + 3*c + 3 = -73, -92 = -6*m - c. What is the remainder when l is divided by m?
12
Let z = -86 - -28. Let w = z + 68. Calculate the remainder when 37 is divided by w.
7
Let z(n) = -n**2 - 18*n + 27. Suppose -s + 40 - 59 = 0. Suppose -4*b - 58 = -2*d, -5*d + 0*b = -2*b - 137. What is the remainder when d is divided by z(s)?
3
Suppose 2*k - 2*l + 81 = 603, -4*k = -l - 1032. What is the remainder when k is divided by 58?
25
Suppose -8*m = -21*m + 663. Calculate the remainder when 356 is divided by m.
50
Let l = -19 + 24. Suppose -2*c = -6*c - 3*w, -l*c - 3*w = 0. Suppose c = 5*j - 93 + 13. Calculate the remainder when 29 is divided by j.
13
Let k = -8 - -21. Suppose -f + 5*f = 0, -5*u + 3*f = -10. Suppose -2*q = u*a - 5*a + 29, q + 18 = 2*a. Calculate the remainder when k is divided by a.
6
Suppose -5*b + 96 = b. Let f(v) = -v**2 + 15*v + 23. Calculate the remainder when 11 is divided by f(b).
4
Let g(z) = -z**3 + 12*z**2 - 21*z. What is the remainder when g(8) is divided by 25?
13
What is the remainder when 98 is divided by (-3192)/(-63)*((-6)/(-8))/1?
22
Suppose 3 = -15*p + 18*p. Suppose 11 = 3*j - q, 2*j + 0*j + q + p = 0. Let f = -4 - -6. Calculate the remainder when j is divided by f.
0
Suppose 143 = 2*v + 99. Calculate the remainder when v is divided by 16.
6
Let h(u) = -u**2 + 39*u - 42. What is the remainder when h(35) is divided by 34?
30
Let m(p) = 2*p - 4 + 27 - 3*p. Suppose 0 = -d - 4*y - 2, 2*d + 184*y - 180*y - 8 = 0. What is the remainder when 24 is divided by m(d)?
11
Let g = -1181 + 1200. What is the remainder when 1041 is divided by g?
15
Let a(x) = -14*x. Let y(b) = 2*b + 10. Let d be y(-6). Let u = -32 + 37. Calculate the remainder when a(d) is divided by u.
3
Let c be (-4)/(-2)*(-2)/(-4). Let y = 10 + c. What is the remainder when y is divided by 6?
5
Let d(o) = 19*o - 3. Suppose -5 = a - 7. What is the remainder when 137 is divided by d(a)?
32
Suppose 22*x - 30*x = -232. Calculate the remainder when 83 is divided by x.
25
Let x = 114 - 106. Let r be (-8)/2*15/(-20). Suppose -y + 2*n + 11 = 0, -2*y = 2*n + r*n - 40. What is the remainder when y is divided by x?
7
Suppose 7*p = c + 3*p - 113, 0 = -5*p - 5. What is the remainder when c is divided by 33?
10
Suppose 3*h + 0*h + 99 = 0. Let u(v) = v**2 - v + 14. Let i be u(0). What is the remainder when 8 is divided by i/(-21) - h/9?
2
Let r = 634 - 232. What is the remainder when r is divided by 18?
6
Calculate the remainder when 1407 is divided by (-12)/8 - (-198)/12.
12
Suppose 2*s = -17 + 5. Let x = s - -8. Suppose 0 = -x*z - d + 38, -2*d = -0*d. Calculate the remainder when 55 is divided by z.
17
Suppose 0 = -6*s + 256 + 284. Let x be 12 + 1*0/1. Suppose 3*w = s - x. What is the remainder when 77 is divided by w?
25
Calculate the remainder when (6/(-3) + 616)*17/34 is divided by 103.
101
What is the remainder when (-236)/(-6)*(9 + 60/(-8)) is divided by 7?
3
Let m(w) = w + 13. Let z(r) = -7*r + 10. Let k = -22 + 15. Calculate the remainder when z(k) is divided by m(2).
14
Let a(s) = s**2 + 30. Let v = -54 - -54. What is the remainder when a(0) is divided by v/(-1) - (-77)/7?
8
Suppose 0 = r - 2*r + 1. Let b = -5 - -10. What is the remainder when -1 - r/(3/(-75)) is divided by b?
4
Let m = -8 + 6. Calculate the remainder when (-2)/(15/(-8025)*10) + (-8)/(-2) is divided by m + (14 - 2*-1).
13
Suppose -2*z = -48 + 28. What is the remainder when 136 is divided by z?
6
Let n = -321 + 346. What is the remainder when 45 is divided by n?
20
Let h(a) = -13*a**2 + 56*a + 8. Let b = 68 + 121. Calculate the remainder when b is divided by h(4).
21
Let c = 6 + -4. Suppose 0*k - 5 = -k, 3*a + c*k = 25. Suppose 2*y + 17 = -a*j, 4*j = -2*y - y - 8. Calculate the remainder when 10 is divided by y.
2
Let b(o) = -4*o - 68. Let v be b(-19). Suppose -4*g = 8, -v*w + 6*w + 2 = 2*g. Calculate the remainder when 14 is divided by w.
2
Let w(n) = 11 - n + 3*n - 2*n - n. Let t be w(-10). Suppose -2*s + 36 = -3*v - t, 0 = -3*s - 3*v + 93. What is the remainder when 88 is divided by s?
28
Let c(u) = 5*u - 7. Let q(w) = -1. Let h(v) = -c(v) + 5*q(v). Suppose 0*a + 2*a = -2*n - 12, 14 = -5*n - a. Calculate the remainder when 46 is divided by h(n).
10
Let k be 4/6*(-75)/10. Let s(r) = r**2 - 5*r - 5. What is the remainder when 86 is divided by s(k)?
41
Let o = 148 - 97. Calculate the remainder when 24 is divided by 4/(-14) + o/7.
3
Let x = 11 - 7. What is the remainder when 24 is divided by x?
0
Let a = 179 + -111. Calculate the remainder when a is divided by 7.
5
Suppose 4*o + 356 = -v - 3*v, 2*o + 451 = -5*v. Let m = -88 - v. What is the remainder when 4 is divided by m?
1
Calculate the remainder when 5 - (-1 + 1)*1 is divided by 3/12 + 1 + (-42)/(-24).
2
Let l be -1 + 94 + 0 + 4. Suppose -3*k - 6*s + l = -4*s, 23 = k - 4*s. Calculate the remainder when 121 is divided by k.
28
Let s(r) = r**2 - 5*r + 5. Calculate the remainder when s(-3) is divided by 8.
5
Let h(v) = -2*v**2 + 2*v - 1. Let y be h(-3). Let i = 28 - y. Suppose -g - 68 = -4*s, g + i - 21 = 2*s. What is the remainder when s is divided by 10?
8
Suppose 3*a - 440 = 4*f, -2*f - 25 = 3*f. What is the remainder when a is divided by 47?
46
Suppose -5*p + 933 = -262. Calculate the remainder when p is divided by 24.
23
Suppose z = 4*g + 26 - 6, -4*g + 4*z - 32 = 0. What is the remainder when (g/(-3))/((-156)/(-2457)) is divided by 15?
6
Let i be (-6 - -10)*(-2)/(-4). Suppose -36 = -2*m - i*m. Suppose -a + 2 + m = 0. Calculate the remainder when 32 is divided by a.
10
Let t be 3/((-6)/(-34)) - -3. Let b be (-2)/11 + 140/44. Suppose 0 = -5*f - t, b*f + 96 = -n + 4*n. What is the remainder when n is divided by 10?
8
Let x(k) = k**3 + 2*k**2 + 3*k - 4. Let r = -61 + 31. What is the remainder when x(3) is divided by 12/r*(1 - 66)?
24
Let l(z) be the first derivative of -2*z**3/3 - 15*z**2/2 + 12*z + 18. Calculate the remainder when (-3)/(-2)*(-148)/(-6) is divided by l(-7).
18
Let p be 85/3 + (-15)/45. Suppose -6*a + 4*a = -p. What is the remainder when 68 is divided by a?
12
Suppose 4*w + 13 = h, 3*h + 3*w = -9 - 12. What is the remainder when 63 is divided by (-2 - (4 + h)) + 16?
11
Calculate the remainder when (2/4)/(11*(-6)/(-19272)) is divided by 50.
46
Let x = -17 + 11. Suppose 2*i - 28 = -75*r + 79*r, -3*i = -4*r - 38. Calculate the remainder when ((-39)/(-6))/((-1)/x) is divided by i.
9
Suppose 4*z - 2*n - 132 = 0, 2*z - 31 = z + n. Suppose -i + z = -7. What is the remainder when i is divided by 15?
12
Suppose 0 = -4*g - 9 + 25. Suppose -4*a - 3*y + 217 = -7, 228 = 4*a + g*y. What is the remainder when a is divided by 14?
11
Suppose 0 = t + 4*t + 2*v - 50, 73 = 4*t - 5*v. Suppose -2 - t = -2*o. Suppose -o - 5 = -f. What is the remainder when 45 is divided by f?
9
Calculate the remainder when 282 is divided by (-34)/255 + (-2656)/(-120).
18
What is the remainder when 482 is divided by 1656/96*2*2?
68
Let y = 315 + -241. What is the remainder when y is divided by 25?
24
Suppose -3*h = 2*h - 20. Let f be 0*h/12 + 16. Suppose f = c - 4. Calculate the remainder when 78 is divided by c.
18
Suppose -16*o + 13*o = -387. What is the remainder when o is divided by 19?
15
Let f = 253 + -209. Let a(c) = 6*c - 1. Let w = 3 - -1. Calculate the remainder when f is divided by a(w).
21
Let m = -1757 - -1914. Calculate the remainder when m is divided by 38.
5
Suppose 3*m + b - 25 = 96, 2*b = -4. Calculate the remainder when 450 is divided by m.
40
Let l(g) = -69*g**3 - g**2 + g + 3. What is the remainder when l(-1) is divided by 35?
0
Suppose -2*k = -c - 107, -3*c - 72 - 141 = -4*k. Calculate the remainder when 156 is divided by k.
48
Let q(s) = -3*s**2 + 21*s + 8. Calculate the remainder when 414 is divided by q(7).
6
Let x(j) = 7*j**2 - 71*j - 43. What is the remainder when x(15) is divided by 78?
77
Let s = 42 + -40. Calculate the remainder when 59 i