uppose -4*z + 33 = 5*q, -5*z + q = 3 - 8. Suppose 0 = -5*o + 3*d + 365, -2*d = 3*o + z*d - 219. What is the remainder when o is divided by 15?
13
Suppose 0 = -312*x + 33258 - 8610. Calculate the remainder when 455 is divided by x.
60
Suppose 12*m + 21135 = 11*m + 16*m. What is the remainder when m is divided by 139?
19
Let f(w) = w - 8. Let c(i) = i - 16. Let y(h) = -3*c(h) + 5*f(h). Suppose -42*s = -639 - 243. What is the remainder when y(15) is divided by s?
17
Let u = -33626 - -33683. Calculate the remainder when (21/(-4))/(2/(-128)) is divided by u.
51
Let u be 4/14 - (3 - (-54)/(-7)). Suppose 2*z + 2*g = z + 20, -u*z + 5*g = -85. Suppose -z*y = -15*y - 123. Calculate the remainder when y is divided by 14.
13
Suppose 12*z + 51840 = 108*z. What is the remainder when z is divided by 25?
15
What is the remainder when 780 is divided by 5/((570/36)/(-19)) - -77?
70
Let m(f) = 10*f**3 - 7*f**2 + 8*f - 19. Calculate the remainder when m(4) is divided by 7.
2
Suppose 29678 + 9415 = 5*b + 152*b. What is the remainder when b is divided by 10?
9
Let j = 8864 - 8161. Calculate the remainder when j is divided by 698.
5
Let m = -443 + 256. Let b = 195 + m. What is the remainder when 23 is divided by b?
7
Suppose -528 = -3*r + 4*b, 0 = -3*b + 5*b. Let i = -59 + r. What is the remainder when i is divided by 15?
12
Suppose 6*o - 3*o - 636 = 4*s, 5*o = 13*s + 1060. What is the remainder when o is divided by 182?
30
Suppose 3*w = -3*o - o + 285, 5*o = w - 114. Let l = -99 + w. Suppose 0 = -l*q + 2*q - 20. Calculate the remainder when q is divided by 10.
0
Let a be (-1)/((5/(-1610))/1). Let w be a/77 - (-6)/(-33). Suppose -z = 3*z - w*x - 172, -3*z + x + 137 = 0. What is the remainder when z is divided by 17?
13
Suppose 0 = 4*d - 3*d - 111. Let r = d + -55. Suppose -3*s - 2*y = -r, 4*y - 5*y = 2*s - 38. Calculate the remainder when 56 is divided by s.
16
Suppose 3*p + 488 = 2159. Let t = p + -267. Suppose t = 6*a - 4*a. What is the remainder when a is divided by 37?
34
Suppose 5*q + 9 = 5*t - 6, -2*t + 7 = -q. Let l(y) = -y - 2*y**3 + 0 - 2 + 4*y**2 + 5. What is the remainder when q is divided by l(2)?
0
Let f(y) = 4*y**2 + 3*y + 73. Let k(g) = -3*g**2 - 2*g - 73. Let j(x) = -2*f(x) - 3*k(x). Calculate the remainder when j(0) is divided by 33.
7
Calculate the remainder when (-294 - -1)/(-1) + 67 + -69 is divided by 17.
2
Suppose 3*x - 1150 = -4*z, x - 243 = 4*z + 119. What is the remainder when x is divided by 188?
2
Let f(m) = -746*m + 9074. Suppose -5*s = -259 - 31. Calculate the remainder when f(12) is divided by s.
6
Suppose 0 = 65*k - 11*k - 2430. Calculate the remainder when 4317 is divided by k.
42
Let x = 631 - 611. What is the remainder when 102 is divided by 284/x + 6/(-5)?
11
Let d(z) = 3*z**3 - 87*z**2 + 89*z - 126. Let s be (-3)/15 + 1/5. Suppose s*v + 9 = v. Calculate the remainder when d(28) is divided by v.
5
Let g(q) = 11*q + 29. Let k be g(-10). Let w = k - -93. Calculate the remainder when 538 is divided by w.
10
Let n be (3/(9/(-6)))/((-10)/(-100)). Let y = n - 394. What is the remainder when 47 is divided by (-2)/8 + y/(-24)?
13
Let z be (-2*(-5)/(-25))/(1/(-125)). Suppose -4*d = 2*s - z, 0 = -4*s - 0*s + 5*d + 74. What is the remainder when -12*(-20)/6*1 is divided by s?
19
Let c be (0 + 18/4)*(-1 - -3). Let v(s) = s**3 - 10*s**2 + 10*s + 4. What is the remainder when 388 is divided by v(c)?
11
Let a = -505 - -894. Suppose 47 - a = -9*k. What is the remainder when 263 is divided by k?
35
Let n = -9838 + 9867. Let i = 11 + 53. What is the remainder when i is divided by n?
6
Let f(o) = 593*o - 676. What is the remainder when f(3) is divided by 79?
76
Suppose 8*y - 12*y - 8 = 0. Let r be ((2 + y)*1)/2. Let z(v) = 2*v + 15. What is the remainder when 26 is divided by z(r)?
11
Suppose -558 = -69*b + 2340. Calculate the remainder when 128 is divided by b.
2
What is the remainder when ((-2290)/50 - -14)/(2/(-30)) is divided by 31?
12
Suppose 0 = -68*a + 71*a + 5*o - 516, -2*o = 2*a - 348. Calculate the remainder when 616 is divided by a.
85
Suppose 46*a - 31*a - 8355 = 0. Calculate the remainder when a is divided by 47.
40
Suppose -18*m + 17*m - 2181 = 4*j, -4*m = 20. Let a = 574 + j. What is the remainder when 176 is divided by a?
26
Let k = -74 + 63. Let r = k - -30. Suppose -44 - 16 = -12*i. What is the remainder when r is divided by i?
4
Suppose -9 = -7*v + 19. Suppose 2*p - 2*t - 48 = 0, 7*p - 5*t = v*p + 70. What is the remainder when 47 is divided by p?
22
Suppose -32*n + 36*n - 26 = -2*k, -3*k = -3*n + 33. Calculate the remainder when 698 is divided by n.
2
Suppose -2*y = -3*v + 7 + 11, -3*y = -4*v + 25. Suppose -v*g + 16 = 0, -g + 8 = 4*z - 24. Suppose -n = -43 + 40. What is the remainder when z is divided by n?
1
Let x(b) be the first derivative of -b**4/4 + 9*b**3 - 49*b**2/2 + 18*b + 14. What is the remainder when 248 is divided by x(25)?
33
Suppose 87 = 3*u - 36. Let c = u - 30. Calculate the remainder when 261 is divided by c.
8
Let y(z) = z**2 - 8*z + 14. Suppose -3*j + 4*a = -95, -5*j - 5*a = -191 + 21. Let g = j + -12. What is the remainder when g is divided by y(7)?
0
Let p(h) = 3*h**2 - 40*h - 392. Calculate the remainder when p(-8) is divided by 27.
12
Suppose 2*p - 229 - 1063 = 0. Calculate the remainder when p is divided by 333.
313
Let w = 66 + -72. Calculate the remainder when 129 is divided by w/4 + (-3425)/(-50).
62
Let f(w) = w**3 + 5*w**2 - 2*w - 2. Let t be f(-2). Suppose -2*p + 10*d + t = 6*d, -5*d - 14 = -2*p. Calculate the remainder when 25 is divided by p.
4
Suppose 1784 = -7*v + 2673. Calculate the remainder when v is divided by 56.
15
What is the remainder when 878 is divided by (-35)/(-2)*84/35?
38
Let g(f) = f**2 + 74*f + 263. What is the remainder when g(-84) is divided by 1100?
3
Let o be 44/10 + 18/(-45). Suppose -9*t = -10*t + o. Suppose 0 = -t*h + 23 + 25. Calculate the remainder when 21 is divided by h.
9
Suppose -6*f + 9*f + 81 = 0. Let m(g) = -g**2 - 33*g - 5. Calculate the remainder when m(f) is divided by 37.
9
Let u(v) = -v**3 - 45*v**2 + 45*v - 35. Let d(j) = j**3 + 7*j**2 - j - 2. Calculate the remainder when d(-6) is divided by u(-46).
7
Suppose -69938*f + 810 = -69928*f. Let d(r) = -r**2 - 2*r - 2. Let b be d(-5). What is the remainder when f is divided by (b/(-4))/((-2)/(-8))?
13
Let n be ((-42)/(-9) - 4)/(3/36). Suppose -n*a - 188 + 524 = 0. Calculate the remainder when a is divided by 4.
2
Suppose 5*x - 2456 = -t, -3*t + 2444 = -2*t + x. What is the remainder when t is divided by 26?
23
Let x = 377 + -302. Let m be 24*((-9)/(-2))/3. What is the remainder when x is divided by 80/m*3*3?
15
Suppose -48*u = -53*u + 30. Let c = u - 53. Let h = -44 - c. What is the remainder when 13 is divided by h?
1
Let l = -679 - -682. Suppose 2805 = l*p + 13*k - 12*k, -p - k + 935 = 0. What is the remainder when p is divided by 104?
103
Let f(y) be the first derivative of y**3/3 - 11*y**2/2 + 3*y - 33. What is the remainder when f(21) is divided by ((-27)/(-2))/((-7)/(-14))?
24
Suppose m - 293 = -5*f + 2*m, 278 = 5*f + 4*m. Suppose -8*v + 24*v = 480. Suppose 96*n = 98*n - v. Calculate the remainder when f is divided by n.
13
Let g = 6277 - 6234. What is the remainder when 123 is divided by g?
37
Let b(s) = 59*s + 217. What is the remainder when b(-2) is divided by 53?
46
Let h be ((-88)/(-12) - 8)/(6/63). Let p(q) = -3*q - 10. Calculate the remainder when 12 is divided by p(h).
1
Let c = -153 + 153. Suppose -3*f - 54 = -6*f - 3*j, -f - 5*j + 22 = c. What is the remainder when f is divided by 1?
0
Suppose 4*h = -3*t + 9 + 10, -h = 3*t - 34. Calculate the remainder when (22 + -19)/(9/75) is divided by t.
12
Let o = -12137 - -12294. What is the remainder when 3610 is divided by o?
156
Let c = 393 - 388. Suppose 5*i = 4*v + 2144, 0*v - 1279 = -3*i - c*v. Calculate the remainder when i is divided by 11.
10
Suppose 0 = 1464*k + 1368 - 18288 - 648. Calculate the remainder when 2/(3 + -2) - -15 is divided by k.
5
Let j = 9528 + -9497. Suppose 4*p + 0*p - 68 = 0. Calculate the remainder when j is divided by p.
14
Suppose 652*f = 688*f - 3348. Suppose p - 3*p + 10 = 0. Suppose 0 = p*n - 19 - 101. Calculate the remainder when f is divided by n.
21
Let v(m) = -3*m**2 + 418*m - 1209. Calculate the remainder when v(10