4. Let f be (-810)/(-81) + 0 + 0. Suppose 3*m = -d - d + 14, s*m = -2*d + f. Calculate the remainder when 14 is divided by m.
2
Suppose -4*f - 320 = -5*q + 14, -2*q = f - 144. What is the remainder when 270 is divided by q?
60
Let l(p) = p**2 + 5*p - 11. Suppose -12*z = -8*z - 44. Let x be (-1)/((4 + -3)/z). What is the remainder when l(x) is divided by 28?
27
Suppose 56*q - 2436 = -28*q. Calculate the remainder when 752 is divided by q.
27
Let o(a) = -a**2 + 7*a + 3. Let w be o(7). Let z = -11 + 14. Suppose -w*d - 5*c + 3*c = -134, -z*c + 3 = 0. Calculate the remainder when d is divided by 15.
14
Suppose 11*v - 7*v - 314 = -2*o, -2*v + 172 = 4*o. Calculate the remainder when v is divided by 36.
4
Let u = -65 - -110. Let z = 4 + -4. Suppose z = -5*t + 101 + 14. What is the remainder when u is divided by t?
22
Let w = -1707 + 1718. Calculate the remainder when 482 is divided by w.
9
Suppose -2*h = 4*h - 222. Calculate the remainder when h is divided by 4.
1
Suppose 4*i + c + 8 = 223, 0 = 3*i - 5*c - 144. What is the remainder when 208 is divided by i?
49
Suppose -5*b - r = 33, -6*r + 6 = -3*r. Let f(s) = -2*s - 3. What is the remainder when 118 is divided by f(b)?
8
Let g(z) = -24*z + 274. Calculate the remainder when g(4) is divided by 18.
16
Let z(k) = k**3 + 7*k**2 - 4*k - 18. Let y be (28/(-8) + 5)*-4. Calculate the remainder when z(y) is divided by 23.
19
Suppose a = -2, 5*z - 26*a - 126 = -23*a. What is the remainder when 1677 is divided by z?
21
Calculate the remainder when 22 is divided by 32/(-6) + 5 + (-104)/(-6).
5
Let t = 41 + -12. Let x(l) be the second derivative of -7*l**3/2 - 7*l**2/2 - 10*l. What is the remainder when x(-3) is divided by t?
27
Let u = 388 - 372. Let p be (2 + -2)*(0 - -1). Suppose y - 10 + 1 = p. What is the remainder when u is divided by y?
7
What is the remainder when (-9024)/(-27) - (152/36 - 4) is divided by 88?
70
Suppose 4*q = -3*z + 160, -5*z + 390 = -q + 85. What is the remainder when 238 is divided by z?
58
Suppose 0 = 2*h, 3*j - 633 = -4*h + 15. Calculate the remainder when j is divided by 73.
70
Let r(w) = 38*w**2 - 113*w + 1. What is the remainder when 146 is divided by r(3)?
2
Let n(i) be the first derivative of -9 - 1/2*i**2 + 21*i. Calculate the remainder when 81 is divided by n(0).
18
Let c = 26 + -82. Suppose 7*u - 23 = 26. What is the remainder when ((-20)/u)/(16/c) is divided by 6?
4
Let i = 1788 + -1709. What is the remainder when i is divided by 21?
16
Suppose 157 + 11 = 14*h. What is the remainder when 68 is divided by h?
8
Suppose -57*j = -67*j + 220. What is the remainder when 110 is divided by j?
0
Let a(o) = -o**2 + 13*o + 25. Suppose -5*f = -476 - 114. What is the remainder when f is divided by a(14)?
8
Let l(v) = 8*v**3 + 2*v**2 - 8*v + 9. What is the remainder when 213 is divided by l(2)?
18
Let l = -5 + 9. Suppose 0 = 10*i - 8*i - 20*i. Suppose i = -l*y + 267 - 51. Calculate the remainder when y is divided by 19.
16
Let k be 3/(-18) - (-50)/12. Suppose -3*n + k = -11. What is the remainder when n is divided by 3?
2
Suppose 135 = 2*d + 3*d. Let k be (-2)/4 + d/6. Let u = k + 8. Calculate the remainder when 47 is divided by u.
11
Let x(c) = -c**3 - 6*c**2 + 4. Let y be x(-6). Suppose y*b = 7*b - 27. Calculate the remainder when b is divided by 3.
0
Suppose -4*d - d = -3*j + 372, -2*j + 3*d = -249. What is the remainder when j is divided by 47?
35
Suppose 12*v - 2651 - 2617 = 0. Calculate the remainder when v is divided by 87.
4
Suppose -g - 4*g - 5 = 0. Let h be (g + -2)*20/(-12). Suppose 4*o - 35 = -h*n, 3*o = -0*n - n - 4. Calculate the remainder when n is divided by 7.
4
Let p(m) = 3*m**2 - m + 3*m - m + 0*m**2. Let q be p(-3). Suppose -3*n = -69 + q. Calculate the remainder when 43 is divided by n.
13
Let a(c) be the second derivative of c**3/3 + 22*c**2 - 17*c. What is the remainder when 6 is divided by a(-21)?
0
Let o be (6/5)/(3/10). Calculate the remainder when 2 - (3 + -2) - -4 is divided by 0 + 4*2/o.
1
Suppose -35 = 5*y + b - 2*b, 3*b - 15 = 0. What is the remainder when 8/10 + 2106/30 is divided by (-1 - 0 - 3)*y?
23
Let a = 211 + -118. What is the remainder when a is divided by 24?
21
Let h be 3*(95 - 4/(-4)). Suppose -9*b = 3*b - h. Suppose -2*n + 17 = -1. What is the remainder when b is divided by n?
6
Let l = 1246 - 1184. What is the remainder when 370 is divided by l?
60
Let t(a) be the third derivative of a**5/20 - a**4/3 - 11*a**3/6 - 3*a**2 + 2*a. What is the remainder when t(7) is divided by 12?
8
Let l(o) = 4*o**2 + 2*o - 1. What is the remainder when l(-5) is divided by (-7 + 1)/(10/(360/(-12)))?
17
Let u(r) = r**2 - 8*r + 32. Calculate the remainder when 61 is divided by u(5).
10
Let g(k) = 17*k**2 - 32*k - 31. What is the remainder when 41 is divided by g(-1)?
5
Suppose 5*r - 4*g + 8 = 9*r, -5*g + 15 = 0. Let h(x) be the first derivative of -20*x**2 + 2*x - 2. What is the remainder when h(r) is divided by 15?
12
Suppose 0 = -3*o + 4*o - 29. Suppose -o = 5*c + 71. What is the remainder when (125/c)/((-1)/4) is divided by 13?
12
Let q = -20 + 34. Let b(x) = -8*x - 2. Suppose 0*p + 25 = -3*l + p, -2*l - 2*p = 6. What is the remainder when b(l) is divided by q?
12
What is the remainder when 178 is divided by (-18)/(-2*((-77)/28 + 3))?
34
Let u be ((-42)/28)/((-3)/4). Suppose 5 = -m, -u*g + m = 5*m - 62. Calculate the remainder when g is divided by 11.
8
Suppose 5*n - q - q = 90, q + 53 = 3*n. Suppose 21*c - 56 = 17*c. Let r = c + -8. Calculate the remainder when n is divided by r.
4
Let b(s) = 15*s - 1. Let h(x) = 3*x. Let o = 12 + -7. What is the remainder when b(3) is divided by h(o)?
14
Let s(g) = 5*g**2 + g + 2. Suppose 2*h + q = -3*h + 733, -q - 435 = -3*h. Let j = h - 137. What is the remainder when s(-3) is divided by j?
8
Suppose 37*p - 1185 = 34*p. What is the remainder when p is divided by 36?
35
Suppose 160*g = 176*g - 288. Calculate the remainder when 61 is divided by g.
7
Let i(l) = -3*l**3 - 2*l**2 - 4*l + 1. What is the remainder when i(-4) is divided by 98?
79
Let w(a) = 9*a + 5. Let x be w(7). Calculate the remainder when (1 - (x - -1))/(-1) is divided by (-48)/240 - (-71)/5.
12
Let y = -16 - -8. Calculate the remainder when 210/9 + y/6 is divided by 8.
6
Let y(t) = -t**2 - 19*t + 3. Let f be y(-12). Let d = -45 + f. What is the remainder when d is divided by 11?
9
Suppose 7*x - 4403 = -924. What is the remainder when x is divided by 20?
17
Let z be (-60)/9 - (-3)/(-9). Let g = 15 + z. Suppose -5*m = -g*m + 126. What is the remainder when m is divided by 15?
12
Let r = 40 - 28. Let p(a) = a**3 - 6*a**2 - 2*a - 4. What is the remainder when p(7) is divided by r?
7
Suppose -6 = 3*t - 0*t, -3*k + 176 = -4*t. Let u = -113 + 133. What is the remainder when k is divided by u?
16
Suppose 4420 = 31*s + 34*s. What is the remainder when s is divided by 35?
33
Calculate the remainder when 42*6/36*3 is divided by 9.
3
Suppose 5*j = 5*b - 75, -4*j - 60 = -5*b + 4. Let d(a) = -2*a - 10. Calculate the remainder when d(j) is divided by 7.
5
Let s = 42 - -2. Suppose -2*f = 2*f - s. Calculate the remainder when 38 - (48/4 + -4) is divided by f.
8
Let v(f) = -f**3 - 37*f**2 - 104*f + 2. What is the remainder when 906 is divided by v(-34)?
66
Let i(m) = m**3 + m**2 - 4*m + 3. Let b = -76 - -92. Calculate the remainder when i(3) is divided by b.
11
Let p = 8 - 2. Suppose 2*m + 20 = p*m, 7 = -2*d + 5*m. What is the remainder when 26 is divided by d?
8
What is the remainder when 755 is divided by (1 + (-64 - 6))/(-1)?
65
Let t(q) = q**2 + 2*q - 6. Suppose -5*l = 22 + 8. What is the remainder when 51 is divided by t(l)?
15
Let i = 171 - 74. What is the remainder when i is divided by 20?
17
Suppose -4*q + 420 = 11*q. Suppose -l + 14 = -2*y, 5*l = -5*y + 12 + q. Calculate the remainder when 33 is divided by l.
3
Suppose 12 + 12 = 3*d + 4*b, 2*d + 2*b - 14 = 0. Suppose -c = d*c - 75. What is the remainder when 44 is divided by c?
14
Suppose 6*l - 35 = 115. What is the remainder when 415 is divided by l?
15
Suppose 0*l + 114 = -3*l + 3*f, 5*l - 3*f + 198 = 0. Let z = l - -90. What is the remainder when z is divided by -3 + -5*12/(-3)?
14
Let m = 39 - 32. Suppose 39 = -6*q + m*q. Calculate the remainder when q is divided by 20.
19
What is the remainder when (18724/186)/