s the remainder when i is divided by 74?
71
Let d(a) = 11*a**3 + 2*a**2 - 6*a + 5. What is the remainder when 451 is divided by d(1)?
7
Suppose 5*l + 2*n - 28 = 0, 5*l + 21 - 31 = -5*n. Let x be (-4 - -1) + -1 + 4. Calculate the remainder when -3 - -33 - x/2 is divided by l.
6
Let i = 342431 + -342412. Suppose 387 + 1167 = 2*a. Calculate the remainder when a is divided by i.
17
Suppose -5285*c = -5292*c + 483. Calculate the remainder when 252 is divided by c.
45
Suppose 2*m = -2*m + i + 73, 0 = 2*m - i - 37. Suppose 0 = 2*j + 3*f + 29, 2*j - 5*f + 3*f + 4 = 0. Calculate the remainder when m is divided by j + 13 + 1 + 0.
4
What is the remainder when 182 is divided by (-42)/(-315) - 7638/(-90)?
12
Suppose 17*r + 110 = 8. Let i be 14 + r/(-21) + (-46)/14. Suppose 7*v - i*v + 72 = 0. Calculate the remainder when 89 is divided by v.
17
Suppose -1400*l - 5*j - 26560 = -1405*l, -15950 = -3*l + j. Calculate the remainder when l is divided by 313.
311
Let g be (-10)/(-5) + 3 + -2. Let a be (-18)/(-4)*g*(-2)/(-3). Let k(i) = i**3 - 8*i**2 - 6*i - 12. Calculate the remainder when 24 is divided by k(a).
9
Suppose 0 = -57*i + 14115 + 7089. Calculate the remainder when i is divided by 339.
33
Let x(p) = p**3 + 6*p**2 - 324*p + 41. What is the remainder when 529 is divided by x(-21)?
69
Let z(m) be the third derivative of -m**6/120 - m**5/20 - m**4/12 + m**3/3 + 14*m**2. Let r = -180 - -257. Calculate the remainder when r is divided by z(-4).
25
Let l = 9 - 4. Suppose -8*i + l*i = 0. Suppose -4*x + 4*r = -208, -5*r = -i*x + 4*x - 163. Calculate the remainder when x is divided by 7.
5
Suppose 10*y = 2*y - 0*y. Calculate the remainder when (-5 - y/5) + 48 is divided by 7.
1
Let q(s) = 2*s**2 + 13*s - 19. Let b = -155 - -145. What is the remainder when 148 is divided by q(b)?
46
Let m be 6/4 - (-72)/48. Suppose m*a + 0*a - w - 368 = 0, -3*w + 116 = a. Calculate the remainder when a is divided by 26.
18
Suppose -135*k - 16*k = 268*k - 7127609. Calculate the remainder when k is divided by 107.
105
Suppose -29*x - 28 = -27*x. Let q be (8/7)/((-4)/x). Suppose 3*v = f + 43, 4*v = v + q*f + 37. What is the remainder when 58 is divided by v?
13
Calculate the remainder when (-14 + 23 + 26)*65 is divided by 109.
95
Let r = -329 + 576. Let y = 442 - r. What is the remainder when y is divided by 50?
45
Let u be -3 - (2 + -1*(-15)/3). Let c be 4/u*-5 + (9 - -1). Suppose 5*q = w - 2, 12*q - 17*q = w - c. What is the remainder when w is divided by 4?
3
Suppose 0 = -0*a - a + 3. Let k(f) = 0*f - 67 - 13*f - 5*f - 20. Calculate the remainder when k(-5) is divided by a.
0
Let i(q) = 11*q**2 + 5*q - 2. Let r be i(3). Suppose c + 2*c = 5*g - r, 5*g + 3*c = 88. Let n = 46 - 9. Calculate the remainder when n is divided by g.
17
Let h = -24040 - -24528. What is the remainder when h is divided by 84?
68
Suppose 11*u + 150 = 1206. What is the remainder when 141 is divided by u?
45
Suppose w = -636*a + 639*a - 2600, -4*a = 2*w - 3480. Calculate the remainder when a is divided by 127.
106
What is the remainder when 127 is divided by (-66 + -2 + 6)*-1?
3
Let t(i) be the third derivative of i**5/60 + i**4/24 - 19*i**3/3 + i**2 - 6*i. Calculate the remainder when 573 is divided by t(-11).
69
Let f = 11514 + -8196. What is the remainder when f is divided by 83?
81
Suppose -2*v + 10 = 0, 3*m + 0*m - 20 = -v. Suppose -m*t + 50 = 30. Suppose t*k = 3*k + 19. What is the remainder when 94 is divided by k?
18
Suppose -l = 2*u - 3*u - 18, -2*l = -4*u - 26. Calculate the remainder when l is divided by ((10 - 31)/(-3))/(7/2).
1
Let w be (-4 + 33/9)*27. Let r = w + 10. Let l = 56 - r. What is the remainder when l is divided by 14?
13
Let c be -3 + (4 - 351)*(-1)/1. What is the remainder when 170 is divided by ((-2)/4)/((-4)/c)?
41
Let b(q) = 21*q + 1669. What is the remainder when b(-59) is divided by 72?
70
Suppose -15*y + 5*r = -17*y + 14876, 0 = 5*y - 5*r - 37260. What is the remainder when y is divided by 191?
190
Suppose 0 = -2*u + 633 - 77. Suppose 2*q - u = -4*i, 153 + 227 = 5*i - 4*q. What is the remainder when i is divided by 47?
25
Suppose 0 = r + 4*x - 84, 48 = -r + x + 117. Calculate the remainder when 488 is divided by r.
56
Suppose 6*v - 881 - 109 = 0. Let d = -107 + v. What is the remainder when 89 is divided by d?
31
Let n(j) = -3 - 2*j + 4*j + 3*j - 10. Let g(b) = -10*b + 25. Let f(p) = 4*g(p) + 9*n(p). Calculate the remainder when f(8) is divided by 13.
10
Let c(u) = u**2 + u - 7. Let z be c(-3). Suppose -2*q + 6 = 0, 0*o = -5*o + 4*q + 243. Calculate the remainder when o is divided by -2 - ((-112)/14 - (1 + z)).
3
Let p(w) = -4*w**3 - 5*w**2 + 8*w - 21. Let l(d) = -5*d**3 - 6*d**2 + 8*d - 22. Let n(v) = -3*l(v) + 4*p(v). What is the remainder when n(-8) is divided by 76?
74
Let k(h) = -16*h**3 - 2*h**2 - 4*h - 3. Suppose -1 - 1 = 4*t + 2*c, c = -t. Calculate the remainder when 38 is divided by k(t).
8
Let k be (-5 + -1)/((-134)/(-10385)). Let h = k + 484. Calculate the remainder when 106 is divided by h.
11
Let o = 197 + 276. Let s(i) = 463*i - o*i - 2 + 0. Calculate the remainder when s(-11) is divided by 11.
9
Suppose -t + 20 = 3*t. Suppose -t = 5*u, -a + u = 2*a - 16. What is the remainder when a is divided by 2?
1
Let c = -1 - -4. Let u(z) be the second derivative of -z**4/12 + z**3/2 + 25*z**2 + 43*z. What is the remainder when u(8) is divided by c?
1
Let a be (-486)/(-4)*4/6. Suppose g - a = -71. Suppose -5*y = 4*t - 122, -4*t = 3*y - 30 - 40. Calculate the remainder when y is divided by g.
6
Let g(j) = -3*j + 3*j + 59 + 0*j + 2*j. Calculate the remainder when 132 is divided by g(4).
65
Suppose 0 = -4*s - 4*h - 8, 4*s + s - 4*h = 17. Calculate the remainder when (0 + -73)*(2 - 3) is divided by (-4 + s)*(-259)/21.
36
Suppose 35 = -2*l + 7*l. Suppose -6*r - l*r + 299 = 0. Calculate the remainder when r is divided by 12.
11
Let q be (-1)/(-9)*655 + 64/288. Let h = q + -41. Calculate the remainder when h is divided by 5.
2
Let j = 26875 - 26862. Suppose -5 = -z - 3. Calculate the remainder when j is divided by z.
1
Let l = 732 - 667. What is the remainder when 322 is divided by l?
62
Let k(v) = 44*v - 1808. What is the remainder when k(70) is divided by 143?
128
Let i(l) = 2*l + 4*l**2 - 24 - 6*l + 3*l - 8*l. Let u be i(14). Suppose -5*s = 209 - u. What is the remainder when s is divided by 44?
41
Let y(c) = 3*c**3 - 8*c**2 - 6*c - 3. Let m = -69 - -74. Calculate the remainder when y(m) is divided by 11.
10
Suppose 49 = -b + 3*b - w, 3*w = -15. Let y(x) = -x**2 + 22*x + 51. What is the remainder when 74 is divided by y(b)?
23
Suppose m - 2*q + 1 = 12, m + 2*q - 3 = 0. Suppose -p - y + m = 3, 24 = 5*p + 4*y. What is the remainder when 23 is divided by p?
7
Let n = -2 - -4. Let w = -1762 - -1753. What is the remainder when (-3 - (w + 1))*n is divided by 4?
2
Suppose 0*p - 5*p + 350 = 0. Let z = p - 65. Suppose -5*m + 1 = 2*i, -15 = 2*m - z. What is the remainder when 50 is divided by i?
11
Suppose 5*k - 163 = 4*f, -15*k + f - 108 = -18*k. Calculate the remainder when 1154 is divided by k.
34
Let q = -33 + 70. Suppose 3*d = -5*k + 228, -d = -4*k - 4*d + 180. Suppose 0 = 57*l - 65*l + k. Calculate the remainder when q is divided by l.
1
Let x = -48 - -53. Suppose -2*y - 5*s + 33 = -2*s, x*s = 5*y - 70. What is the remainder when 38 is divided by y?
8
Suppose 3*r + 4*t = 2375, 2*r - 529 - 1061 = -4*t. Suppose 6*m - r = -515. What is the remainder when 448 is divided by m?
43
Calculate the remainder when 907 is divided by 30804/153*((-54)/(-8))/3.
1
Let u = 3017 + -2833. What is the remainder when 537 is divided by u?
169
Let o = -176 - -190. Let h(q) = 2*q**3 + 14*q**2 + 8*q - 3. Calculate the remainder when h(-5) is divided by o.
1
Suppose 2*l + 21*l = 18630. Suppose 0 = -34*z + 4*z + l. Calculate the remainder when 64 is divided by z.
10
Suppose 149*v + 369 = 140*v. Let s be 4/(-18) - 922/(-18). Let h = v + s. What is the remainder when h is divided by 7?
3
Suppose -120 = -5*j - 3*h + 2*h, -20 = -4*h. Suppose g - 52 = -j. What is the remainder when g is divided by 8?
5
Let a be 6/(-4) - 210/(-28). Let i(f) = 51*f - 55. What is the remainder when i(a) is divided by 12?
11
Suppose 305*r = 306*r - 2*f - 735, 4*r + 3*f = 3006. What is the remainder when r is divided by 369?
9
Let t