111) - (-3)/((-18)/(-1672))) is divided by 138.
4
Suppose -3361 + 673 = -28*u. Calculate the remainder when 315 is divided by u.
27
Suppose -21*j + 1494 = -17*j - 5*c, 5*j = c + 1878. Calculate the remainder when 1150 is divided by j.
22
What is the remainder when (7482/12 + -25)*(0 + 2) is divided by 102?
75
Let v = -9 + 19. Suppose -v*o = -6*o - 420. Calculate the remainder when o is divided by -24*(-2)/(-8)*-3.
15
Let x(j) = -681*j - 7467. What is the remainder when ((-132)/10)/((-2)/10) is divided by x(-11)?
18
Let k(h) be the second derivative of h**3/6 + 11*h**2/2 + 3*h - 13. Calculate the remainder when k(-4) is divided by 3.
1
Let x be ((-105286)/(-183))/(1*(-1)/(-9)). Suppose 25*z - x = 19*z. What is the remainder when z is divided by 72?
71
Suppose 10*w - 33*w = -2576. Suppose -7*g + w = -161. Calculate the remainder when 127 is divided by g.
10
Let i(q) = 4*q**2 + 25*q - 17. Let s(c) = -5*c**2 - 25*c + 17. Let v = 62 - 59. Let r(p) = v*s(p) + 4*i(p). What is the remainder when r(-26) is divided by 2?
1
Suppose 0 = -47*p + 49*p - 110. Suppose u + 824 = 5*w, -13*u + 18*u + 512 = 3*w. Calculate the remainder when w is divided by p.
54
Suppose 221*r = -205*r + 131*r + 344560. Calculate the remainder when r is divided by 1161.
7
Suppose 0*z - 52 = -4*z. Calculate the remainder when z is divided by (-9200)/3220 + 83/7.
4
Let m be (-3)/12 + 2/16*2. Suppose -4*z + 12 = m, -5*j = z - 18 - 5. What is the remainder when 166 is divided by 42 + j - (-16)/(-4)?
40
Let o = 92 - 50. Suppose s + 38 - 198 = 4*k, 0 = 5*k + 4*s + 221. What is the remainder when o is divided by (-35 - k)*1/(-2) + 14?
9
Let w(x) = x**2 + 0 - 1 - 1. Calculate the remainder when (17 + -16)/((-314)/574 + (-80)/(-140)) is divided by w(4).
13
Let n(o) = o**3 - 3*o**2 + 10*o - 20. Let s be n(4). Suppose s = d + 5*v, 3*v = d + 5*v - 21. Calculate the remainder when 54 is divided by d.
10
Let z = -4608 - -4645. Suppose 5*s = 5 - 0. Let k(j) = 111*j - 1. What is the remainder when k(s) is divided by z?
36
Suppose 9*s + 12*s + 139*s = 2400. Calculate the remainder when ((-69)/(-4))/((-2)/(-24)) is divided by s.
12
Suppose 3*g + 39 = -2*i, 4*i - 3*g + 51 = -0. Calculate the remainder when 115 is divided by ((-117)/i)/(9/45).
37
Let i = -1004 + 1049. Calculate the remainder when i is divided by 32.
13
Let m = 57 - 64. Let q(g) = -2*g**2 - 14*g + 1. Calculate the remainder when 1 is divided by q(m).
0
Let j(t) = 2642*t + 602. Calculate the remainder when j(0) is divided by 121.
118
Suppose 0*n - 3*n + 2*a + 17693 = 0, -2*n + 3*a = -11807. What is the remainder when n is divided by 22?
19
Let t = 15713 - 15598. What is the remainder when 208 is divided by t?
93
Let z(a) = 100*a + 1225. Let o = 94 + -50. Calculate the remainder when o is divided by z(-12).
19
Let q(c) = 15*c**2 + 247*c + 501. Calculate the remainder when 397 is divided by q(-2).
62
Let z = -38610 + 40144. What is the remainder when 3093 is divided by z?
25
Let x = -96128 + 96186. Let c be -2*((-58)/4 + -1). Suppose c = 5*a - 19. What is the remainder when x is divided by a?
8
Let c be 1/(4*4/400) - -5. Let m = 480 + c. Calculate the remainder when m is divided by 32.
30
Let f(i) = -7*i**2 - 35*i - 9. Calculate the remainder when (50/(-3))/((-10)/15) is divided by f(-4).
6
Suppose 6*p - p - 15 = 0. Suppose -2230 = -2*z - p*z. Calculate the remainder when 8/56 + z/14 is divided by 7.
4
Suppose -15*b - 529 = -56*b + 619. Calculate the remainder when 643 is divided by b.
27
Let j = -7644 + 7667. What is the remainder when 251 is divided by j?
21
Let p(u) = -2*u**2 - 11*u + 4*u**3 - 3*u**3 + 7 - 1. Let k(t) = t**2 - 42*t + 346. Let b be k(31). What is the remainder when p(b) is divided by 5?
1
Suppose 54771 + 35987 - 14123 = 131*p. Calculate the remainder when p is divided by 571.
14
Suppose 0 = -39*d - 80 - 232. Let c(u) = -18*u - 81. Calculate the remainder when c(d) is divided by 22.
19
Let x = 9 + 3. Suppose -5*j + 178 + 177 = 0. Let w = 103 - j. Calculate the remainder when w is divided by x.
8
Let q = 15599 + -15437. What is the remainder when q is divided by 142?
20
Let y(d) = -2*d - 3. Let a be 128/(-480)*(-45)/6. What is the remainder when (352/11)/(a/3) is divided by y(-6)?
3
Let o be (-33)/99 - (26/(-6) - -1). Suppose 54 = 2*b + 4*k - 8*k, -b - o*k = -2. Suppose -5*u = -b - 118. What is the remainder when 133 is divided by u?
25
Suppose k = 2*k - 22. Suppose -k*o - 2*o = -408. What is the remainder when 64 is divided by o?
13
Let a be (1*-1)/((-25)/750). Suppose -3*w + 7*w - 48 = 0. Calculate the remainder when 211/5 - (-24)/a is divided by w.
7
Let y(p) = -208*p - 790. Calculate the remainder when 112 is divided by y(-4).
28
Let k = 256 - 252. Suppose -76 = -4*i + 3*x, -i - 78 = -k*i - 3*x. What is the remainder when 109 is divided by i?
21
What is the remainder when 259*2 + (-7)/28*-4 is divided by 8?
7
Suppose s - 3*y = 14, s = -2*y - 10 + 9. Calculate the remainder when 2098 is divided by s.
3
Suppose 3590 = -71*s + 69*s. Let o = s + 4363. Calculate the remainder when (-6)/(-33) - o/(-33) is divided by 20.
18
Let k(h) = 20*h + 104. Let d be k(-5). Let l = 286 + -30. Suppose 3*v = l - d. What is the remainder when v is divided by 22?
18
Let s be ((-4)/(-3) + (-5)/5)*6. Let n be 2 + (s - (-2 - -4)). Calculate the remainder when 20 is divided by n - (-5 + -2 + 3).
2
Let c(k) be the first derivative of k**3/3 - 2*k**2 + 7*k - 1. Let a(w) = 2*w**2 - 1087*w + 4327. What is the remainder when c(-5) is divided by a(4)?
8
Let n(u) = u - 23. Let b be n(6). Let o(s) = s**2 + 17*s + 7. Let q be o(b). Suppose -7*a = q*a - 308. What is the remainder when 87 is divided by a?
21
Let s be 322/2 + 30 + -37. Let c = -140 + s. What is the remainder when 69 is divided by c?
13
Suppose 0 = -48*y + 43*y - 985. Let a = y + 559. What is the remainder when a is divided by 28?
26
Suppose -20 = 5*j - 4*j. Let u be 5/2 - 130/j. Let a(y) = y**2 - 9*y + 14. What is the remainder when 50 is divided by a(u)?
8
Let b = 27863 - 26919. Calculate the remainder when b is divided by 458.
28
Suppose 5*y + 829 = -3*m + 1572, 763 = 5*y - 2*m. Suppose -2*q + 61 = v - 4*q, -4*v = -4*q - 224. What is the remainder when y is divided by v?
49
Let h(k) = -8*k - 90. Let w be h(-12). Suppose 0*j = -w*j + 636. Calculate the remainder when j is divided by 12.
10
Let k = 1255 - 432. Let o = k + -631. What is the remainder when o is divided by 22?
16
Suppose -15*n + 1 = -14. Calculate the remainder when 16 is divided by (15/(-6))/((-5)/10*n).
1
Let t = -14354 + 14489. What is the remainder when 3907 is divided by t?
127
Let p(r) = r**2 + 7*r - 5. Let q = 78763 - 78609. Calculate the remainder when q is divided by p(5).
44
Suppose -12*c = -7*c + 2*d + 223, 5*c = 5*d - 230. What is the remainder when 1631/9 + ((-80)/c - 2) is divided by 17?
11
Suppose -3*z - 25 + 25 = -30. What is the remainder when z is divided by 8?
2
Let q = -1947 - -2556. What is the remainder when q is divided by 17?
14
Suppose 3*k - 12 = 0, y + k - 52 = -22. Suppose -22 - y = -4*c. What is the remainder when ((-3)/6)/(20/(-1800)) is divided by c?
9
Suppose 0 = 5*k - 3*y - 77, y = k - 16 - 1. Suppose -502 = -4*u + 2*q, 4*q - 484 = -6*u + 2*u. Let c = 264 - u. What is the remainder when c is divided by k?
10
Let m = 79 - 76. Suppose -m = -h - 1, 112 = j + 5*h. Let r = -71 + j. Calculate the remainder when r is divided by 13.
5
Let h = 6531 - 6481. What is the remainder when 555 is divided by h?
5
Suppose 712 - 1038 = -2*n. Calculate the remainder when n is divided by 36.
19
Suppose -5*x + 516 = -69. Let m(p) = 2*p**2 + 121*p - 357. Calculate the remainder when x is divided by m(3).
21
What is the remainder when 341 is divided by 1/(-2)*-12 - -328 - 6?
13
Let g be 5/4*10/5*50. Suppose -428 - g = -7*o. Calculate the remainder when o is divided by -5 + 4 - (1 - 22).
19
Suppose 35*v - 2*v - 322 = 19*v. What is the remainder when 1054 is divided by v?
19
Suppose -2025 + 333 = -3*p + 4*b, -4*p + 2256 = -5*b. What is the remainder when p is divided by 552?
12
Let m(u) = 115*u**2 + 4*u + 4. Let f be m(-1). Suppose -5*t + f = 4*z, 0*t + 69 = 3*t + z. Calculate the remainder when -1 + (1 - 208)/(-3) is divided by t.
22
Suppose -2*x = -43 + 9. Suppose -o = x*o - 180. What is the remainder when o is 