alculate the remainder when (12 + -34)*d/(-2) is divided by 7.
4
Suppose 18 = -2*y - 5*t + 53, 0 = -3*y - 4*t + 63. Let x = 25821 - 25723. Calculate the remainder when x is divided by y.
23
Suppose -7*w = -8*w + 5*d + 20, 5*w - d = 52. What is the remainder when 167 is divided by w?
7
Let k(a) = a**3 - 16*a**2 + 4. Let l be k(16). Suppose l*q - 167 = -15. What is the remainder when q is divided by 13?
12
Let t = 86 - 41. Suppose 4*i - t = -5*g, 0*i = -5*g + 4*i + 5. What is the remainder when 6 is divided by g?
1
Let t = 8 - -3. Let x = t - -24. What is the remainder when x is divided by 22 + ((-9)/12)/((-9)/(-36))?
16
Suppose 3*z + 6245 = 11*v, v - 5*z + z - 564 = 0. Calculate the remainder when v is divided by 41.
35
Calculate the remainder when -11 + -16 + 21 + 30*8 is divided by 6.
0
Suppose -75 = -2*z - 1. Suppose 4*k + 4*o + 28 = 0, -6*k - 3*o - 17 = -4*k. Let h(w) = w**3 + 4*w**2 - 3*w + 8. What is the remainder when z is divided by h(k)?
17
Calculate the remainder when 385/22*(-56)/(-10) is divided by 53.
45
Let k be -8*(-15)/(-24)*-6. Suppose 0 = k*p - 27*p + 18. Calculate the remainder when p/(-15) + (-265)/(-25) is divided by 3.
2
Let t = 484 - 422. What is the remainder when 246 is divided by t?
60
Suppose -3*l + 0*n + 21 = -3*n, 1 = l + 2*n. Let v = 25 - l. Suppose 5*w = -v, -5*w = 4*k - 168 + 40. Calculate the remainder when k is divided by 20.
17
Let w(o) = o - 51. Let i be w(25). Let d = 16 - 40. Let q = d - i. What is the remainder when 2 is divided by q?
0
Suppose -5*z = 5*w - 120, -3*w + 157 = 5*z + 43. Suppose -20*g + 15*g = -305. Calculate the remainder when 1/((-1)/g*-1) is divided by z.
19
Let s be 3*(-2846)/(-18) - (-4)/6. Suppose 3*q + q + 4*f - 36 = 0, -15 = 5*f. What is the remainder when 3/(-2)*1 + s/10 is divided by q?
10
Suppose -30 = -5*m - 5*u, -u + 13 - 35 = -3*m. What is the remainder when 123 is divided by m?
4
Let h be (2 - 0)/6 - (-1072)/24. Suppose d = 90 + h. What is the remainder when d is divided by 34?
33
Suppose -g - 2066 = -2*u, 2*g = 3*u - g - 3102. What is the remainder when u/15 + (-4)/(-20) + -2 is divided by 35?
32
Suppose -w - 3*c - 89 = 0, -3*c - 2 = -5. Let a = w - -139. Suppose 0*u + 96 = 4*u. What is the remainder when a is divided by u?
23
Let b(c) = c**3 - c**2 + 3*c + 3. Let z be b(3). Suppose 5*s - z + 5 = -4*o, -5*o - s = -47. What is the remainder when 14 is divided by o?
4
Suppose 4*k - 7 - 6 = 5*u, 0 = -5*k + u + 11. Suppose k*j - 130 = v, 0 = 3*v + 6 - 0. What is the remainder when j is divided by 17?
13
Suppose k = -z + 7 + 66, z + 3*k - 69 = 0. What is the remainder when z is divided by 12?
3
Let q = -110 + 129. Let m = -54 - -127. What is the remainder when m is divided by q?
16
Let q = -157 + 178. What is the remainder when 1258 is divided by q?
19
Let a be 22/(-165) - (-64)/30. Suppose -3 = -i, -a*s + s + 3*i = -8. Calculate the remainder when s is divided by 4.
1
Let f(g) = 5*g**3 + 14*g**2 - 46*g + 4. Let a = -18 - -34. Calculate the remainder when f(3) is divided by a.
15
Let x = 72 + -30. Let o = -27 + x. What is the remainder when 27 is divided by o?
12
What is the remainder when ((-60)/(-40))/(3/376) is divided by 21?
20
Let m(a) = -a**3 - 34*a**2 - 121*a + 8. What is the remainder when 322 is divided by m(-30)?
18
Suppose -b + 337 = 4*d, -2*b = -3*d - 5*b + 264. Calculate the remainder when 165 is divided by d.
82
Suppose 0 = 53*z - 52*z. Suppose d - 14*d + 273 = z. Calculate the remainder when 39 is divided by d.
18
Let b(u) be the first derivative of -u**4/4 + 7*u**3/3 - 12*u + 4. Let m be b(6). Let a = 29 - m. What is the remainder when 10 is divided by a?
0
Calculate the remainder when 215 is divided by (42/(-12))/(4/(-64)).
47
Suppose 191 - 59 = 2*n. Suppose -4*u - 3*l = -72, 18 = u - l - l. Calculate the remainder when n is divided by u.
12
What is the remainder when (-832)/(-3) - 8/24 is divided by 84?
25
What is the remainder when (-2)/((-1084)/(-364) - 3) is divided by 48?
43
Let r = -41 - -198. Suppose -r = -2*b - 25. Calculate the remainder when b is divided by (2/(-4))/((-2)/68).
15
Let l = -103 + 107. Suppose -5*q - 100 = -m - 4*m, -5*m - l*q + 55 = 0. Let j(d) = d**3 + 6*d**2 - 4*d + 2. Calculate the remainder when j(-6) is divided by m.
11
Let x(q) = -3*q + 946. Let a be x(0). What is the remainder when a/6 - (-6)/18 is divided by 40?
38
Calculate the remainder when 275 is divided by (6/4)/(72/2208).
45
Let o(x) = x**3 - x**2 - 2*x + 111. Let f be (0 + 0)/(-2 + 3). Calculate the remainder when o(f) is divided by 28.
27
Suppose -5*n - 293 = -4*l, -20*l - 363 = -25*l + 3*n. What is the remainder when 131 is divided by l?
59
Suppose 4*p - 2*k = 5 + 5, 5*p - 19 = -4*k. Let f be p/(3*2/354). Suppose f = 6*i + 3. What is the remainder when i is divided by 15?
14
Let r(o) = 54*o + 1. Let j be r(1). Suppose -9*i = -7*i. Suppose i = 4*b + 7 - j. What is the remainder when 45 is divided by b?
9
Let v(r) = 4*r + 137. Calculate the remainder when 99 is divided by v(-29).
15
Let u be (2 - -1)*741/(-117). Let c(r) = 19*r**2 - r + 0*r + 0*r - 3 + r**3. What is the remainder when 29 is divided by c(u)?
13
Let z(w) = 2*w**3 + 28*w**2 - 11*w + 4. Calculate the remainder when z(3) is divided by 35.
32
Suppose 441*q = 448*q - 84. What is the remainder when 490 is divided by q?
10
Let s = -96 + 112. Calculate the remainder when 429 is divided by s.
13
Let r(y) = 11*y - 4. Let u(c) be the third derivative of c**4/24 - c**3/6 + 5*c**2. Let o be u(3). What is the remainder when 70 is divided by r(o)?
16
Suppose -3*o + 0*o + 21 = 0. Suppose o*k - 129 - 389 = 0. What is the remainder when k is divided by 38?
36
Suppose -3*j = 4*n - 120, -4*j + 3*j = 0. Calculate the remainder when 94 is divided by n.
4
Let o(h) = h**2 + h - 1. Let t(v) = -1 + v**2 - v**2 + 5*v**2. Let k be t(-1). Calculate the remainder when o(k) is divided by 7.
5
Let u(n) = n**2 - 57*n + 264. Calculate the remainder when 118 is divided by u(52).
2
Let m = -241 + 252. Calculate the remainder when 48 is divided by m.
4
Let k = -448 + 614. Calculate the remainder when k is divided by 22.
12
Suppose 4*v = 9 + 3. Suppose v = j + 3*a, -2*j - 13 = -3*a - 55. What is the remainder when 28 is divided by j?
13
Suppose -43 + 221 = -2*r. Let y = 6 - r. Calculate the remainder when y is divided by 24.
23
Suppose 2*m - 7 = 39. Calculate the remainder when 0 + 2 + -1 + 64 - -1 is divided by m.
20
Let y = -8 + 19. Suppose -175 = -y*h + 6*h. Let l = 5 - -4. Calculate the remainder when h is divided by l.
8
Let o = -571 - -618. What is the remainder when 231 is divided by o?
43
Let l(m) = -m**2 + 23*m - 26. Let n be l(22). Calculate the remainder when 8 is divided by 5 - (0 + n) - 4.
3
Let j = 87 + 44. Calculate the remainder when j is divided by 15.
11
Let b be (-135)/6*28/(-35). Let x be (63/b)/(1/2). Suppose x*v = 6*v + 15. Calculate the remainder when v is divided by 6.
3
Let y(w) = 40*w**2 + 2 + 3 + 8*w + 37*w**2 - 75*w**2. Let u(b) = -b**3 - 4*b**2 - 2*b - 2. Let t be u(-3). What is the remainder when 58 is divided by y(t)?
13
Let n(w) = -w + 7. Let a be n(6). Let g(u) = 8*u**3 + u. Let o(h) = h**3. Let y(d) = g(d) - 6*o(d). Calculate the remainder when y(a) is divided by 3.
0
Suppose 0 = -4*n + 85 + 43. Let w = 41 - n. What is the remainder when 22 is divided by w?
4
Let m(t) = 8*t**3 - 3*t**2 + t - 1. What is the remainder when 116 is divided by m(2)?
10
Suppose 6 = 4*r - 2. Suppose 2*f + 5 = 3*f. Suppose -5 = -o + x, 49 = f*o + r*x - x. Calculate the remainder when 34 is divided by o.
7
Suppose 2 = -2*x - 7*y + 2*y, -4*x + 12 = 2*y. Suppose -4*j + 8*j + 5*b = 136, 168 = x*j - 3*b. Calculate the remainder when j is divided by 14.
11
Suppose -2010 - 599 = -3*w + m, -w + 871 = m. Calculate the remainder when w is divided by 67.
66
Suppose c = -2*n - 10, 0 = 3*c - 7*c + 16. Let d = n + 51. Suppose 4*i = -0*i + d. What is the remainder when 41 is divided by i?
8
Let r = -585 + 606. Calculate the remainder when 30 is divided by r.
9
Let n be 3 + -1 + (3 - 3 - 9). Let s(i) be the third derivative of -i**4/8 - 7*i**3/3 + i**2. Calculate the remainder when 13 is divided by s(n).
6
Suppose 2*q - 108 = 20. Let n(d) = d**2 - 13*d - 35. Calculate the remainder when q is divided by n(-4).
31
Let c = 24 - 21. Suppose -24 = -c*l + 