 the remainder when (-1239)/(-49) + (-6)/21 is divided by f.
7
Let t = 453 + -174. Calculate the remainder when t is divided by 70.
69
Suppose 45*q - 3000 = 5*q. Calculate the remainder when 379 is divided by q.
4
Suppose 0 = -7*h + 4*h + 105. Suppose m = q + 21, 4*m = 5*q - 0 + 80. Let j = h + m. Calculate the remainder when j is divided by 21.
18
Suppose -b + 5*q - 40 = -6*b, 4*q = b - 33. Let i be 3/(-4) - -2*155/40. Calculate the remainder when b is divided by ((168/10)/i)/((-6)/(-20)).
5
Let j be ((-2)/3)/(10/(-705)). Suppose -2*c + 348 = 2*c. Let g = c - j. Calculate the remainder when 159 is divided by g.
39
Suppose 0 = 2*x - 5*s - 236, 2*s = 3*x + 43 - 419. What is the remainder when x is divided by 49?
30
Let d(q) = q**3 - q**2 - 5*q - 3. Let f be d(4). Let x = -21 + f. What is the remainder when 6 is divided by x?
2
Suppose -w = 2*u + w - 38, 76 = 4*u - 5*w. Let b = 128 - 122. What is the remainder when u is divided by b?
1
Suppose 0 = 2*z - 385 + 363. Suppose 0 = 3*m - 36 - 54. Calculate the remainder when m is divided by z.
8
Let a(q) = -24*q - 4. Calculate the remainder when a(-9) is divided by 36.
32
Suppose 4*g - 16 + 0 = 0. What is the remainder when 3 is divided by 1/(3/(12/g))?
0
Let u(r) = r**2 + 7*r + 4. Suppose 5*t + 0*t = -35. Let p(c) = 12*c**3 - c. Calculate the remainder when p(1) is divided by u(t).
3
Suppose 25*u - 1435 = -585. What is the remainder when 153 is divided by u?
17
Suppose 38*u = 265 + 1787. What is the remainder when u is divided by 2*-1 + 0 + 16?
12
Let x = -298 - -351. Calculate the remainder when x is divided by 11.
9
Suppose 4*z - 4*s - 20 = 24, 4*z - s = 29. Let u(k) = k**2 + k - 13. What is the remainder when u(z) is divided by 11?
7
Let i(m) = m**3 + 17*m**2 + 15*m - 37. Let f be i(-16). Let w = 65 + f. Calculate the remainder when 86 is divided by w.
42
Let m = 1132 + -1120. What is the remainder when (43 + 0)/(1/1) is divided by m?
7
Suppose u - 3*n = 2*n + 90, -2*u + 3*n + 145 = 0. Calculate the remainder when 129 is divided by u.
64
Let h(l) = 73*l**2 - 3*l + 3. What is the remainder when 157 is divided by h(1)?
11
Suppose -7*n - 325 - 95 = 0. Let y = n - -85. What is the remainder when 47 is divided by y?
22
Let c(h) = -4*h - 2. Let r be c(-1). Suppose 0 = -4*d + r*d + 32. Suppose 0*w - d = -w. What is the remainder when 63 is divided by w?
15
Suppose 0*a - 9*a = -225. Calculate the remainder when 49 is divided by a.
24
Calculate the remainder when (155 - (17 + -7)) + (0 - 2) is divided by 44.
11
Let n(h) = h - 1. Let q be n(3). Calculate the remainder when (-2)/2*(-52)/q is divided by 5.
1
Suppose 24 = 3*r - 5*r. Let a = r - -17. Suppose -a*q - 7*w = -4*w - 335, 5*q = -5*w + 345. Calculate the remainder when q is divided by 22.
20
Let s(v) = 2*v**2 - 12*v + 5. Calculate the remainder when 12 is divided by s(0).
2
Calculate the remainder when 284 is divided by 2805/119 - (-4)/(84/9).
20
Let j = -141 - -147. Calculate the remainder when 59 is divided by j.
5
Let m = -104 - -117. Suppose -160 = 5*o - 530. What is the remainder when o is divided by m?
9
Suppose -5*n + 7 = -18. Let z(t) = 15*t + 2. Let g be z(n). Let h = g - 54. Calculate the remainder when h is divided by 6.
5
Suppose 15 = -3*u, -a - 4*a = 4*u. Calculate the remainder when a is divided by 1.
0
Let j be (-352)/48 + (-2)/(-6). What is the remainder when 41/1 + 2/1 is divided by 46*-1*j/14?
20
Suppose -3*n - 60 = -7*n. Let a = 0 + n. Let c = 19 - a. Calculate the remainder when 7 is divided by c.
3
Let r(m) = -5*m**2 + 80*m + 3. What is the remainder when r(14) is divided by 36?
35
Suppose 3*k - 9*k = -6. Let g(r) = r**2 - 6*r - 2. Let o be g(6). Calculate the remainder when 39 is divided by 21/k - o/(-2).
19
Let a = -22 + 26. Suppose a*b = 2*b + 90. What is the remainder when b is divided by 23?
22
Suppose v - 3*k + 58 = 163, 4*v - k = 453. Calculate the remainder when v is divided by 21.
9
Let v(m) = -m**2 - 17*m + 2. Let l be v(-17). What is the remainder when 87 is divided by l*(13 - 4) + 4?
21
Let y = 5 + 1. Suppose 2*d + 84 = y*d. What is the remainder when d is divided by (-86)/(-8) - 2/(-8)?
10
Suppose 5*k + 3*n = 12 + 421, n + 271 = 3*k. Calculate the remainder when k is divided by (-99)/33 - (0 - (51 + -2)).
43
Let q(v) = v**3 - 5*v**2 + 13*v - 23. What is the remainder when 75 is divided by q(5)?
33
Suppose -5*n + 2*n = -36. Let f = 190 - 140. What is the remainder when f/(-5)*n/(-5) is divided by 9?
6
Let d(f) = 6*f**2 - 4*f + 11. Let l(n) = 13*n**2 - 9*n + 22. Let p(g) = 9*d(g) - 4*l(g). Calculate the remainder when 75 is divided by p(0).
9
Let f be (0*2/(-6))/(-1). Suppose f = -4*n + 25 + 35. Calculate the remainder when n is divided by 9.
6
Let m = 2336 - 2248. Suppose -2*r + 6 = 3*q - 29, 4*q + 4*r = 44. Calculate the remainder when m is divided by q.
10
Suppose -5*l + 223 = 3*r, 27*r - 227 = 24*r - l. What is the remainder when 372 is divided by r?
68
Let h(c) = -c**2 - 39*c + 140. What is the remainder when 38 is divided by h(-42)?
10
Suppose -5*q = -5*p - 55, 3*q = -p + 3*p + 35. Calculate the remainder when 2/((-63)/69 + 1) is divided by q.
10
Suppose -2*n + 23 = -n. Suppose z - 16 = -0*z. Suppose -6*h + 8*h - z = 0. What is the remainder when n is divided by h?
7
Suppose -51 = -0*v - 3*v. Suppose 3*t - 9 = 0, s - 143*t + 145*t - 38 = 0. Calculate the remainder when s is divided by v.
15
Suppose -2*r - 107 = -11. Let h = r - -68. Calculate the remainder when 78 is divided by h.
18
Let o be 3 - (5 - (4 - 1)). Suppose 1 = 4*y + 9. Calculate the remainder when 294/(-3)*o/y is divided by 13.
10
Suppose -2*u + 155*f = 157*f - 284, 4*f - 425 = -3*u. What is the remainder when u is divided by 18/(-8)*(-16)/1?
35
Let l = -46 - -58. Calculate the remainder when 103 is divided by l.
7
Suppose -4*i + 12 = -2*i. Suppose -6*t + 12 = -i. Calculate the remainder when 17 is divided by t.
2
Suppose 6*t - 5*t = 3. Suppose -4*j + t*j = -3. Suppose -j = -h + 3. What is the remainder when 17 is divided by h?
5
Calculate the remainder when 32 is divided by 63/(-210) - 692/(-40).
15
Let x = 61 + -32. Let z(i) be the first derivative of i**2/2 + 4*i - 5. What is the remainder when x is divided by z(6)?
9
Let o = 44 + -84. Calculate the remainder when 850/18 - (-4)/(-18) is divided by o*9/(45/(-2)).
15
Let k = -12 + 56. Suppose c = 5*c - 3*l - 44, -5*l + k = 4*c. Let x = 31 - c. Calculate the remainder when x is divided by 6.
2
Let u(s) = 25*s + 150. Calculate the remainder when u(0) is divided by 66.
18
Let v(i) be the second derivative of 19*i**3/3 + i**2/2 - 2*i. Suppose -10*u - 37*u + 517 = 0. Calculate the remainder when v(1) is divided by u.
6
Let q(s) = 9*s**2 + s - 1. Suppose -2*a + 3*r = -0*a - 7, -3*a + 2*r = -18. Let v be -2*2*(-2)/a. What is the remainder when 17 is divided by q(v)?
8
Suppose 5*m - 4*c = 0, -5*m - 2*c - 45 = 3*c. Calculate the remainder when 97 + m/(1 - 5) is divided by 20.
18
Let v = 86 - -108. What is the remainder when v is divided by 66?
62
Suppose 158 - 18 = 5*v. Let m(h) = 16*h + 2. Let q be m(3). Suppose -3*x - q = -5*f, 5*f - 2*x + x - 50 = 0. Calculate the remainder when v is divided by f.
8
Let r(g) = g**3 - g**2 - 1. Let i be r(2). Suppose i*p + 3*p = 192. Calculate the remainder when p is divided by 17.
15
Suppose 6*u = 40 - 4. Let k(q) = q**3 - 7*q**2 + 5*q + 1. Let o be k(u). Calculate the remainder when 50 is divided by (-39)/1*o/15.
11
Let p = 5 - 3. Let u(y) = -y + 6. Let j be u(3). Suppose n + f + j*f = 7, f - 1 = 0. Calculate the remainder when n is divided by p.
1
Suppose -3*y + 57 = -6*y + q, -5*q - 76 = 4*y. Let w = 87 - 97. Let o = w - y. What is the remainder when 23 is divided by o?
5
Suppose 3*k = -i + 204, 2*k = 3*k + 4*i - 68. What is the remainder when k is divided by 15?
8
Suppose 3*i + 4*y - 24 = 34, 5*i - 78 = -2*y. Calculate the remainder when (-75)/(-15)*(i/10 - -1) is divided by 7.
5
Let j = -2 + 5. Suppose 133*q - 72 = 124*q. What is the remainder when q is divided by j?
2
Suppose 4*j + 103 = 259. What is the remainder when j is divided by (-23)/((-184)/(-240))*1/(-3)?
9
Suppose -31*q - 65 = -32*q + 3*h, 0 = 5*q - 4*h - 380. Calculate the remainder when q is divided by (-16)/(-2) - 2/(-2).
8
Suppose -5*t + 145 + 25 = 0. Let i(p) = 11*p**2 - 206*p + 44. What is the re