
Suppose 220*v - 5452 = 162*v. What is the remainder when 983 is divided by v?
43
Suppose 4*h = j + 97, 4*h - 18*j = -13*j + 117. Suppose -h + 92 = 3*z. Calculate the remainder when 160 is divided by z.
22
Let w be 3258/(-3)*(96/18)/8. Let k = 767 + w. Calculate the remainder when 428 is divided by k.
41
Suppose 88*y = 87*y. Suppose y = f - 0*f - 5*h - 48, f - 2*h = 42. Let g = 258 + -149. Calculate the remainder when g is divided by f.
33
Let r = -488 + 924. Suppose -11*m = 5*i - 7*m - 439, m - r = -5*i. Suppose -6*k + 150 = -k. Calculate the remainder when i is divided by k.
27
Suppose 0 = 15*x - 3*x - 516. Suppose 6*u - 11*n + 9*n - 1512 = 0, 0 = 3*u - 2*n - 753. Calculate the remainder when u is divided by x.
38
Let n = 378 + -295. Suppose -t = 5*s - 99, 7*t = 6*t - s + n. Calculate the remainder when t is divided by 27.
25
Let f = -6227 + 6337. Calculate the remainder when 731 is divided by f.
71
Let w be ((-32)/(-3))/1*(-3)/(-2). Calculate the remainder when 54 is divided by (w/(-24))/((-4)/174).
25
Suppose 4*y + 3 = -2*o - o, -2*o - 7 = y. What is the remainder when 22 is divided by y?
1
Suppose 53*c = 49*c + y + 26683, -18*y - 54 = 0. What is the remainder when c is divided by 16?
14
Let c(u) = u**3 + 4*u**2 - 5*u - 6. Let r(v) = -2*v + 11. Let o = -5 + -10. What is the remainder when r(o) is divided by c(-4)?
13
Let w(j) = j**2 + 7*j + 10. Let r be w(-6). Let p be 8/(-16) + 1318/r. Suppose 12*i - 1013 = -p. Calculate the remainder when i is divided by 30.
27
Let t = 100 - 136. Let p = 105 + t. What is the remainder when 273 is divided by p?
66
Suppose 0*a + 35*a = 10*a + 77850. Calculate the remainder when a is divided by 19.
17
Suppose -1043 - 35 = -22*d. Calculate the remainder when 169 is divided by d.
22
Let d = -78 - -53. Let u = d - -45. Let q(c) = -c**2 - 70*c - 31. Calculate the remainder when q(-69) is divided by u.
18
Suppose 44*c - 54*c + 3980 = -1290. What is the remainder when c is divided by 59?
55
Let m(q) = -q**3 - 8*q**2 + 6*q. Let h(w) = w**3 + 3*w**2 - 3*w. Let t(z) = 7*h(z) + 3*m(z). Calculate the remainder when 193 is divided by t(2).
11
Suppose -m + 1 = -2. What is the remainder when 30 + 28/(-4) + (9 - 42/14) is divided by m?
2
Suppose 4*x - 1240 = 2*s + 804, -4*x + 4*s = -2052. Calculate the remainder when 2037 is divided by x.
1
Let g(f) = -7*f**3 - 3*f**2 + 5*f + 33. Calculate the remainder when 593 is divided by g(-3).
53
Suppose -34*l + 24070 = 40*l - 16*l. Calculate the remainder when 1279 is divided by l.
34
Suppose -13*s - 1421 + 1655 = 0. What is the remainder when 814 is divided by s?
4
Let g be (-3)/(58/(-140) + 3/15). What is the remainder when 6/(-14) - (5 + (-3898)/g) is divided by 23?
20
Suppose -242 = 49*w - 438. What is the remainder when 2542 is divided by w?
2
Let y = -35 + 40. Suppose -21*o + 43*o - 1958 = 0. What is the remainder when o is divided by y?
4
Let i = 62 - 41. Suppose 69 = 6*b - i. Calculate the remainder when 102 is divided by b.
12
Let u = -350 + 411. Let t = 22 + -20. Suppose -t*m = -48 - 14. Calculate the remainder when u is divided by m.
30
Suppose 0 = -5*j - 3*s - 17, 8 = -2*s - 0*s. Let f(k) = 104*k**2 - k. Let p(m) = -92*m + 110. What is the remainder when f(j) is divided by p(1)?
15
Let d(s) be the first derivative of 2 + 5/2*s**2 - 1/2*s**4 + 0*s**3 + 2*s. Calculate the remainder when 160 is divided by d(-3).
37
Let x = -2588 + 506. Calculate the remainder when 4*(2 + -1)*x/(-24) is divided by 29.
28
Suppose -4*c = 5*v - 19394, 8*c - 19406 = 4*c + v. Suppose 16*u + 17*u - c = 0. What is the remainder when u is divided by 30?
27
Calculate the remainder when 13407 is divided by (155/(-10) - -2)*(-2)/9*15.
42
Let l be (-3900)/63 + (-42)/441. Suppose -2*s - 102 = -5*s. Calculate the remainder when 95 - ((-31)/l + (-5)/(-2)) is divided by s.
24
Suppose 0 = 3*n + g - 929, 5*n + 14*g - 18*g - 1537 = 0. Calculate the remainder when n is divided by 47.
27
Let o(l) = 14*l**2 - 138*l - 103. What is the remainder when o(11) is divided by 21?
10
Suppose 0 = 5*t + 108 - 488. What is the remainder when t is divided by 184/3 - (-428)/642?
14
Let h(l) = -53*l - 13. Let k be h(-21). Suppose 6*t + k = 2*t. Calculate the remainder when 9/(-18) + (t/(-2) - -1) is divided by 36.
30
Suppose -16 = 2*c + 2. Suppose -3*q + 16 = -41. Calculate the remainder when 3/9 - 960/c is divided by q.
12
Suppose 40563 = 1374*q - 45141 + 21126. Suppose 4*a + 11 = s, 0 = -2*s + 3*a - 0*a + 32. Calculate the remainder when q is divided by s.
9
What is the remainder when 7873 is divided by 2*(0 - 1)*5334/(-84)?
126
Let u = 1688 - 1679. Calculate the remainder when 150 is divided by u.
6
Suppose -5*t - 3*s + 7*s + 3479 = 0, -1414 = -2*t - 4*s. What is the remainder when ((-2)/6*t)/(-1) is divided by 77?
2
Suppose 0*f = f - 2*n - 10, 5*f - 25 = 5*n. Let q = 17 + f. Suppose 0 = -13*u + q*u - 44. Calculate the remainder when u is divided by 4.
3
Suppose 3*g - g = -3*l + 69, 137 = 5*l - 4*g. Suppose 4*f - 84 = -4*v, v - 1 - 8 = 2*f. Suppose 20*z = v*z + 39. Calculate the remainder when l is divided by z.
12
Let p(j) = 173*j**2 + j + 1. Suppose 146 = 4*n + 3*l, -n - l + 23 = -7*l. Calculate the remainder when p(-1) is divided by n.
33
Suppose 9*p + 92 = -1420. Let k = p - -174. Calculate the remainder when 58 is divided by k.
4
Let v(d) = -93*d - 1603. Calculate the remainder when 167 is divided by v(-18).
25
Let f = -130 + 130. Suppose 0 = -5*m - 4*u + 289, f = -16*m + 19*m + 4*u - 175. What is the remainder when 227 is divided by m?
56
Suppose -368*s + 47250 = -53*s. Calculate the remainder when 1181 is divided by s.
131
Let b = -8786 + 9026. What is the remainder when 1924 is divided by b?
4
Let w(k) be the second derivative of k**5/20 + 5*k**4/12 - k**3/3 - 11*k**2/2 - 5*k. Let d be w(-5). What is the remainder when 7 is divided by 5 + d + 0/(-1)?
3
Suppose 8*y - 916 - 68 = 0. What is the remainder when y is divided by (-32)/24*126/(-4)?
39
Let q(o) = 3*o**3 - 19*o**2 + 107*o + 14. Calculate the remainder when q(11) is divided by 78.
77
Let b(t) = -8*t + 3. Let c = 8 + -12. Suppose -201 - 40 = -14*s + 25. What is the remainder when b(c) is divided by s?
16
Let f(c) = 13*c - 87. Let q = 522 - 513. Calculate the remainder when 183 - 2 - 12/4 is divided by f(q).
28
Let g(c) = -2*c**2 + 27*c + 361. What is the remainder when 1057 is divided by g(21)?
45
Let d(q) = -q - 31. Let s be d(0). Let h = 70 + s. Calculate the remainder when h is divided by ((-2)/(-4))/((-2610)/(-288) - 9).
7
Let r(n) = -2*n - 16. Suppose -4*y + 19*y + 180 = 0. Calculate the remainder when 15 is divided by r(y).
7
Let r(i) = -i**3 - 9*i**2 + 2*i - 28. Suppose 4*q + 5 = 2*c - 7, -3 = 3*q - 3*c. Calculate the remainder when r(-10) is divided by (6/q)/(10/(-75)).
7
Let r be 4*3/2*(-483)/(-126). Suppose -r = 10*j + 17. Let q = 10 - j. What is the remainder when 50 is divided by q?
8
Let s(p) = -p**2 + 186*p + 41785. Suppose c - 4*c - 75 = 0. Let u = c + 62. Calculate the remainder when s(-131) is divided by u.
36
Let u be (-14)/(-7) - 0/2. Suppose 0 = x - 20 - u. What is the remainder when (390/(-21))/(15 + 107/(-7)) is divided by x?
21
Suppose 14*d + 3*d + d = 0. Suppose m - a - 21 = d, -4*m - 27 = -5*m - 5*a. What is the remainder when 701 is divided by m?
19
Let a = 24304 - 24297. Calculate the remainder when 2539 is divided by a.
5
Let b(u) = 19*u - 179. Let r be b(12). Suppose 0 = -16*o + 127 + r. Calculate the remainder when 437 is divided by o.
8
Let b(x) = -x**2 - x + 34. Let i be b(5). Let u(t) = 7*t - 13. What is the remainder when 28 is divided by u(i)?
13
Let l = -10554 + 10556. Calculate the remainder when 86 is divided by l.
0
Let k = -12824 - -13043. Let v(w) = -3*w - 10. Suppose -3*l - 19 = a, 2*a + 5*l - 3*l = -22. What is the remainder when k is divided by v(a)?
10
Let q(r) = -2*r**3 - 2*r**2 + 2*r + 8. Let w be q(-2). Suppose -739 - 233 = -w*o. Suppose 0*i - o = -3*i. Calculate the remainder when 50 is divided by i.
23
Let w = 25 + -16. Suppose -y - 2*t = -171, -5*y = w*t - 5*t - 873. What is the remainder when y is divided by 55?
12
Suppose -4*p + 5*x + 283 = 0, -19*x = 2*p - 17*x - 146. Suppose -35*u + 17*u + p = 0. What is the remainder when 42 is divided by u?
2
Suppose -165*r + 10 = -163*r. Suppose -3*z = -r*c - 84, -3