?
11
Suppose -36 = -16*i + 13*i. Calculate the remainder when (-571)/(-4) + 9/(-12) is divided by i.
10
What is the remainder when 20 is divided by (-13)/351 - 109/(-27)?
0
Suppose 0 = 2*p - 4*q - 7 - 11, q = 2*p - 15. Suppose -p*z = z - 288. What is the remainder when z is divided by -1 + (-4)/(-2) - -12?
10
Let d be (2/6)/(1/42). Let q(m) = -6*m + 134. What is the remainder when q(d) is divided by 20?
10
Suppose -4*h + 4408 = -2*j, -5*h = 14*j - 18*j - 5513. What is the remainder when h is divided by 69?
66
Let k = -59 - -103. Suppose 1736*c - 1760*c + 3024 = 0. Calculate the remainder when c is divided by k.
38
Let k be (-10056)/28 + 4 + 54/(-14). Let g = k + 508. Calculate the remainder when g is divided by 17.
13
What is the remainder when (-22646)/(-10) - 126/210 is divided by 103?
101
Suppose 0 = 584*b - 586*b + 6. Suppose -104 = -b*g - 23. Suppose c + t + 0*t = 20, 4*t = 8. What is the remainder when g is divided by c?
9
Let t(r) = r**3 + 11*r**2 - 25*r. What is the remainder when 633 is divided by t(-12)?
9
Let v(o) = o**2 - 69*o + 1150. Let q(k) = -13*k. What is the remainder when v(51) is divided by q(-2)?
24
Let y = 52 - 6. What is the remainder when (-2340)/(-455)*714/4 is divided by y?
44
Let a = -17 - -58. Suppose 0*u = 77*u - 5*u. Suppose -83*l + 51*l + 544 = u. Calculate the remainder when a is divided by l.
7
Let y = 1389 - 899. Let s = -453 + y. What is the remainder when 74 is divided by s?
0
Suppose -3*h - 218 = -7*p - 6*h, -3*h = 3*p - 102. Suppose 0*v + v + l - 72 = 0, -2*l = v - 70. What is the remainder when v is divided by p?
16
Let p(v) = 7*v**2 - 4*v + 5. Let i be p(1). Suppose 5*j - 32 = i. Suppose 3*n - f = 32, n = -0*n - f + j. Calculate the remainder when 19 is divided by n.
9
Suppose 0 = -5*a + 2*s - 4*s - 846, -5*s + 153 = -a. Let v = a - -202. Calculate the remainder when 509 is divided by v.
33
Let o = 3922 + -3905. Calculate the remainder when 999 is divided by o.
13
Let x = -512 + 729. Let j = x + -188. What is the remainder when j is divided by 4?
1
Let z(y) = -33*y - 32*y + 70*y + 48*y**2. Calculate the remainder when 166 is divided by z(-1).
37
Let g(m) = -81*m - 164. Let p be g(-8). Let n = p - 450. Calculate the remainder when 302 is divided by n.
30
Let g = 4977 + -4905. Calculate the remainder when 210 is divided by g.
66
Let v be 12*(35/(-15) + 3). Let h(l) = -l**2 - 15*l - 38. What is the remainder when (-4)/v*(3 - (-3 + 32)) is divided by h(-4)?
1
Let c be (-204)/(-30) - (-4)/20. Calculate the remainder when 79 is divided by ((-8)/c + 4)*(-3 - -17).
39
What is the remainder when (-28)/(-98) + (1 - (-58710)/21) is divided by 165?
157
Suppose 111*j - 6596 - 10570 = -2736. Calculate the remainder when 7669 is divided by j.
129
Suppose 0 = -5*k - 0*q + 2*q - 60, 8 = -2*k + 4*q. Let t = k + 34. What is the remainder when 179 is divided by t?
19
Let z(a) = 7*a**3 - a**2 + 2*a + 1. Suppose 3*j - 98 = 490. Suppose 0 = j*g - 194*g - 24. Calculate the remainder when z(2) is divided by g.
9
Calculate the remainder when 31 is divided by (18 + (-12)/(-30) + (-17)/5)*1.
1
Let h = 50 - 45. Let p be ((-15)/(-3))/h - 37. Let x = 13 - p. What is the remainder when x is divided by 13?
10
Let a(b) = -b**3 + 9*b**2 + 8*b - 31. Calculate the remainder when a(6) is divided by 121.
4
Let h = 1484 - 1009. What is the remainder when h is divided by 475?
0
Suppose 287 = 3126*o - 3119*o. Calculate the remainder when 187 is divided by o.
23
Let a be ((-19623)/155)/((-3)/15). Let j = a - 617. Calculate the remainder when (0 - (-7 - -1))*18 is divided by j.
12
Let b = 233 + -143. Suppose 3*z - 2*z = -4*r + 76, -4*r = 5*z - 460. Suppose 0 = 15*t - 18*t + z. Calculate the remainder when b is divided by t.
26
Let g = 3653 + -3609. Calculate the remainder when 2198 is divided by g.
42
Suppose -2342 + 14102 = 147*h. What is the remainder when 332 is divided by h?
12
Let x = -154 - -154. Suppose x = -10*r - r + 803. Calculate the remainder when 362 is divided by r.
70
Let a(i) = i**2 + 23*i + 3. Let v be (5 - (1 + 3))/(1/(-18)). Let w be a(v). Let d = 161 + w. Calculate the remainder when d is divided by 26.
22
Let p(w) = -2*w + 28. Let i be 216/(-8) + 1 + 1. What is the remainder when p(i) is divided by 41?
37
Let k = 22 - 19. Suppose -k*a + 184 = -8. Suppose -3*s + 4*t + a = -t, -2*s - t = -21. Calculate the remainder when 35 is divided by s.
9
What is the remainder when (-2)/24 + 107261/924 is divided by 36?
8
Let s = -10126 - -10393. Calculate the remainder when s is divided by 139.
128
Suppose -4*j = 103*j - 3531. Calculate the remainder when 659 is divided by j.
32
Let w = -4233 - -4299. Calculate the remainder when 790 is divided by w.
64
Let f = 4372 + -3138. What is the remainder when f is divided by 18?
10
Suppose 4*q - 2*a = a + 406, 392 = 4*q + 4*a. Calculate the remainder when q is divided by (-3)/4 - 42735/(-1540).
19
Let a = 11030 + -10978. Calculate the remainder when 722 is divided by a.
46
Suppose 0 = -t + 4*b + 301, 0*b = 4*t + 3*b - 1185. Let x = t + 25. What is the remainder when x is divided by 19?
18
Let j = 22104 + -21081. Calculate the remainder when j is divided by 40.
23
Suppose -4*n + 13 - 1 = 0. Let k(o) = 2*o**2 + 118*o - 928. Let h be k(8). Suppose -n*v - 5*v = -h. Calculate the remainder when 41 is divided by v.
5
Let m(v) = -v**3 + 11*v**2 + 16*v - 14. Suppose 4*z - t - t + 196 = 0, -2*t + 96 = -2*z. Let n = 63 + z. What is the remainder when m(12) is divided by n?
8
Calculate the remainder when 1329 is divided by (-60)/(-270) - (0 - 29/(-9)) - -32.
24
Suppose 19 = -2*t - t + 5*r, 0 = -2*t - 4*r + 24. Suppose 146 = 4*p - 3*f, -5*p + f + 112 = -t*p. Calculate the remainder when p is divided by 21.
17
Suppose -5*q = y - 1268, 4*q + 3*y - 168 = 842. Let s = 280 - q. What is the remainder when 125 is divided by s?
21
Let h = 4082 - 4039. Calculate the remainder when 1069 is divided by h.
37
Calculate the remainder when (378/(-216))/((-2)/72) is divided by 17.
12
Let a(g) = -g**2 + 49*g + 59. Let y be a(32). Let d = y + -304. Calculate the remainder when d is divided by 60.
59
Let h = -1039 - -1018. Let p = 341 + h. Calculate the remainder when p is divided by 3.
2
Let y(s) = 29 - 12*s**2 + 50*s**2 - 2*s - 30. Let u be y(-1). Suppose u*a - 35*a = 104. What is the remainder when 103 is divided by a?
25
Let z be 85/(5 - (-133)/(-28)). Suppose -30*f + 13*f = -z. Calculate the remainder when (-2)/6 + (-418)/(-3) is divided by f.
19
Suppose 47*s - 306 - 3586 = -54*s + 653. Let b = 33 - 16. What is the remainder when s is divided by b?
11
Let l(z) = -2*z - 3. Suppose -11062 = -74*d + 4182. What is the remainder when d is divided by l(-7)?
8
Let m = -233 - -483. Let v(k) = 6*k**2 + 13*k + 49. What is the remainder when m is divided by v(-3)?
58
What is the remainder when 2242 is divided by -30*(-2 + (36/(-21))/(75/(-70)))?
10
Suppose -4*t + 2*t - 20 = -4*l, 0 = -3*t. Suppose -w = -l*f + 3*f - 72, 4*w + 4*f - 324 = 0. Calculate the remainder when w is divided by 39.
0
Suppose -11*i = 5*r - 389, 4*i - 348 + 184 = r. Suppose 3*k = 6*k - 402. What is the remainder when k is divided by i?
17
Let h(l) = -2*l**2 - 15*l + 27. Let c be h(-12). Let a = 107 + c. What is the remainder when 123 is divided by a?
19
Let z(l) = l**2 + 2. Calculate the remainder when (-20)/(-55)*(-55)/(-10) + 92 is divided by z(-2).
4
Let p(h) = 14*h**2 - 6*h - 16. What is the remainder when 307 is divided by p(-2)?
47
Let y = -40 + 118. What is the remainder when 31/4*34 + (-12 - (-325)/26) is divided by y?
30
Suppose 33*a = 28*a + 15. Suppose -2*x = 2*x + a*d - 35, -4*x - 4*d = -32. Suppose x = -0*o + o. What is the remainder when 39 is divided by o?
6
Let y(f) be the first derivative of -f**4/4 + f**3/3 + 3*f**2/2 + 6*f - 1. Let v = -1870 + 1867. Calculate the remainder when y(v) is divided by 12.
9
Let r(s) = s**3 - 56*s**2 + 688*s - 61. Calculate the remainder when (-257)/(-5) - (-6)/10 is divided by r(18).
8
Suppose 3074 = 4*k + 3*y - 760, -8604 = -9*k - 3*y. What is the remainder when k is divided by 5?
4
Let u = -1309 + 1318. What is the remainder when 51 is divided by u?
6
Let o(y) = -451*y - 3125. What is the remainder when 292 is divided by o(-7)?
4
Suppose -3*m + 156 = 3*r - m, 5*m - 39 = -r. Calculate the remainder when 323 is 