t + 5 = 257, -7*f + 5*t = -594. Calculate the remainder when f is divided by u.
27
Let p = 7774 - 7608. What is the remainder when p is divided by 0 + (-3)/3*-57?
52
Let q(c) = -7*c + 79. Let x be q(10). Suppose d = 14 - x. Calculate the remainder when 23/3 + (-2)/3 is divided by d.
2
Suppose 0 = -32*c + 35*c + 4*l - 1069, 3*c - 1149 = 6*l. Calculate the remainder when c is divided by 146.
75
Suppose 138 = 6*x - 54. Suppose -z = 4*o - 3, 54 = -5*z - 0*o + 3*o. What is the remainder when x is divided by 38/(-8)*36/z?
13
Suppose -2*g = -3*b - 2941, 4*g - 5*b - 8677 = -2792. Calculate the remainder when g is divided by 57.
50
Suppose 505*l = 26*l + 160465. What is the remainder when 864 is divided by l?
194
Let r(f) = -78*f**2 + 4*f + 5. Let w be r(-4). Let q = w - -545. Calculate the remainder when 90 is divided by (q/(-30) - -1) + (-4)/5.
18
Suppose -76 = -5*t + 3*z, 0*t = -5*t - 5*z + 60. What is the remainder when 156/10*35/t is divided by 19?
1
Let d(c) = -2*c**2 - 69*c + 17. Let x be (-1)/2*69 - (-1)/2. What is the remainder when d(x) is divided by 12?
3
Suppose -115 = 23*d + 437. What is the remainder when 52 is divided by (-1)/2 + (-828)/d?
18
Let b = 507 - 506. Let u = b - -5. What is the remainder when 19 is divided by u?
1
Let v be (-1)/3 - (-7 - 175/(-15)). What is the remainder when (-454)/(-3) + (16 + v)/(-33) is divided by 8?
7
Suppose -148*r = -151*r - 4*m + 1056, -10*r + 3575 = -5*m. What is the remainder when r is divided by 65?
31
Suppose 0 = -2*w - 3*k + 20, -3*w = 2*w - 4*k - 27. Let y(q) = -q**2 + q - 156. Let u be y(0). Let n = u - -182. Calculate the remainder when n is divided by w.
5
Suppose 2*d = -4*u + 260, -4*u + 8 + 624 = 5*d. Suppose -5*q - 199 = -3*o - 136, 3*o + 4*q = 63. What is the remainder when d is divided by o?
19
Calculate the remainder when (-15)/(-5) + (696 - 54) is divided by 49.
8
Calculate the remainder when 465 is divided by (24/(-48))/((-1)/(-166)*-1).
50
Let w(t) = t**2 - 14*t - 69. Let o(r) = -3*r**3 - r**2 - 5*r - 11. Let a be o(-2). What is the remainder when 207 is divided by w(a)?
25
Let g = 1137 - 667. Suppose 4*y + 518 = 2*u, -2*u - 4*y + 40 = -g. What is the remainder when u is divided by 86?
85
Suppose -5*q + 100 = -60. Let o = 2214 + -2200. What is the remainder when q is divided by o?
4
Let f = 3 + 12. Let o = -487 + 506. Suppose -f*p = -o*p + 100. Calculate the remainder when 123 is divided by p.
23
Let m = 12206 + -10213. Calculate the remainder when m is divided by 11.
2
Calculate the remainder when 588 is divided by (21 + 3930/(-45))*-3.
190
Suppose 0 = 555*r - 552*r - 1569. What is the remainder when r is divided by 18?
1
Let h = -77 + 41. Let v = 123 - h. Let i = v - 31. What is the remainder when i is divided by 13?
11
Suppose -2*w + 5*c = 10 + 10, 4*w - 16 = -4*c. Suppose -14 = -n - w. Calculate the remainder when (1/(-3))/((-1)/69) is divided by n.
9
Suppose -24*j - 3*j = -351 - 81. What is the remainder when 78 is divided by j?
14
Let z = -117 + 115. Let k = 32 + -16. What is the remainder when z*(-11)/(33/114) is divided by k?
12
What is the remainder when (-255984)/(-288) + 3/18 is divided by 224?
217
Let f = 23 - 18. Let c = f + -1. Suppose 5*i = -5*u + 10, -3*i + 46 = -c*u + 12. Calculate the remainder when 29 is divided by i.
5
Suppose -40*o + 41*o - 31 = 0. Suppose 4*t + d = 76, -4*d - o - 26 = -3*t. Calculate the remainder when 73 is divided by t.
16
Suppose -2*a - 36*i = -40*i - 260, 4*a - 5*i = 499. Calculate the remainder when a is divided by 34.
14
Let p = -105 + 110. Suppose 7*m - 2*m - 201 = -3*o, p*o + 68 = 2*m. Calculate the remainder when m is divided by 8.
7
Suppose -2*l = b + 5, 3*b - 2 - 3 = -2*l. Suppose b*v - 31 = -3*s, 2*s - 2 + 0 = -v. Calculate the remainder when 53 is divided by v.
5
Suppose -86575 = 21*j + 27*j - 247231. Calculate the remainder when j is divided by 31.
30
Suppose 0 = 28*y - 25*y + i - 1115, -4*y + 1478 = -3*i. What is the remainder when y is divided by 21?
14
Suppose z - 2*k = 230, 926 = 5*z - 2*k - 240. Let o = z + -90. Calculate the remainder when o is divided by 23.
6
Let r(w) = 5*w**2 - 2*w + 213. Let i be (-2)/(60/(-18)) - (-3)/(-5). Calculate the remainder when r(i) is divided by 54.
51
Suppose -38 = -w + 2*p - 18, 135 = 5*w - 3*p. Calculate the remainder when 4407 is divided by w.
27
Let z(i) = -198*i + 611. Suppose 0 = 4*x - 16, 0 = 2*n + 4*x - 311 - 9. Calculate the remainder when n is divided by z(3).
16
Suppose 2*c + 4*c = 2376. Let i = 469 - c. What is the remainder when i is divided by 11?
7
Let l be (-4)/6*-2 + 210/18. Let d(c) = -c**2 + 21*c - 66. Calculate the remainder when 226 is divided by d(l).
36
Let k(g) be the first derivative of 3*g**2 + 15*g - 28. Let r be k(-6). Calculate the remainder when 46 is divided by 8/(-12) + (-350)/r.
14
Let l be (-45)/3 - 1/((-3)/(-12)). Let a be (l/38)/((-2)/24). What is the remainder when (-7 + a)/((-2)/30) is divided by 4?
3
Suppose 5*t = -2*b + 8044, 2*b - 31*t = -29*t + 8086. Calculate the remainder when b is divided by 5.
2
Suppose 4*d = -2*a - a + 1302, -3*a = -4*d - 1326. Suppose 138 = 18*s - a. Calculate the remainder when s is divided by 11.
10
Let s = 16 + 1. Suppose 44*c = 40*c + 20. Suppose -c*i + 3*r = -390, i - 2*r + 334 = 5*i. What is the remainder when i is divided by s?
13
Suppose -512 + 185 = -q + 2*y, 347 = q + 2*y. Calculate the remainder when q is divided by 64.
17
Suppose -2*c + 3*l + 14 = -13, 49 = 4*c - l. What is the remainder when (-747)/(-12) - 3/c is divided by 26?
10
Let a = -25024 + 25062. Calculate the remainder when 4762 is divided by a.
12
Let g(j) = 33*j**2 - 10*j - 25. Calculate the remainder when 5332 is divided by g(-2).
125
Let c(a) = -280*a - 2479. What is the remainder when 419 is divided by c(-9)?
9
Let q(c) = -4*c. Let g be -1 + 0 - (6 - 4). Let p(h) = 40*h + 3. What is the remainder when p(1) is divided by q(g)?
7
Let k(l) = l**3 + 10*l**2 + 5*l + 51. Let q be k(-10). Let p(n) = 3*n + 6. Let h = 3 - -8. Calculate the remainder when h is divided by p(q).
2
Let p(v) = -8*v**2 + 4*v + 4. Let z be p(-3). Suppose -4*k + 8281 = 7857. Let m = z + k. Calculate the remainder when 75 is divided by m.
23
Suppose -2*v + 278 = -i, 4*v - 10*i - 568 = -14*i. What is the remainder when v is divided by 71?
69
Suppose i = 2*i - 34. Let q = 182 - 46. What is the remainder when q + 1/(15/6 + -3) is divided by i?
32
Let d(v) = v**3 + 22*v**2 + 32*v - 48. What is the remainder when 498 is divided by d(-20)?
50
Let n(j) = 15*j + 706. What is the remainder when n(-37) is divided by 7?
4
Let z be (-4)/(-18) + (-11)/9. Let k = -74 - -70. What is the remainder when z*(-2 + 5 + k)*27 is divided by 16?
11
Let f(c) = -18*c**2 + 136*c + 88. Calculate the remainder when f(6) is divided by 39.
22
Suppose -1842 = -17*x - 74. Let o = 451 + -415. Calculate the remainder when x is divided by o.
32
Let m(d) = -d**2 - 477*d - 7365. Calculate the remainder when 20392 is divided by m(-16).
9
Let c = 294 + -284. Let k be (16/20)/(1/10). Calculate the remainder when (153/(-12))/((-3)/k) is divided by c.
4
Let c(p) = -3*p**3 + 6*p**2 - 21*p + 23. Let x(j) = j**3 + 1. Let v(o) = -c(o) - 2*x(o). Calculate the remainder when v(9) is divided by 41.
38
Let q = 289 - 164. Suppose -2*p = 5*g + 90, -g = 3*g - p + 72. Let m = -2 - g. Calculate the remainder when q is divided by m.
13
Suppose -84*l + 526540 = 214984. What is the remainder when l is divided by 84?
13
Let h = 1326 + -1215. Suppose -2*n - 5*d - 67 = -5*n, -4*d = 8. What is the remainder when h is divided by n?
16
Let m(d) = 5*d**3 - 3*d**2 + 20*d - 13. Let n be m(5). Let v = 671 - n. Suppose -5*k + 80 = 5*x, x - 5 = -0. Calculate the remainder when v is divided by k.
1
Suppose -3*i + 57 = 3. Let b be ((-64)/24)/(4/(-216)). Suppose -i = 7*f - b. Calculate the remainder when 71 is divided by f.
17
Let y = -3227 - -4394. Calculate the remainder when y is divided by 18.
15
Let k(u) = 27*u + 1183. What is the remainder when 1822 is divided by k(-43)?
18
Let s be ((-2)/4)/(21671/(-4334) - -5). Suppose -4*d + s = 7*d. What is the remainder when d is divided by 33?
32
What is the remainder when 1095 is divided by (-455)/(-78) + -6 - (-6537)/18?
6
Let a = 6471 + -5898. Calculate the remainder when a is divided by 6.
3
Suppose 290*r = 