 remainder when 0 + (-5155)/(-40) + -7 + (-228)/(-32) is divided by 25.
4
Let s = 243 + -242. Calculate the remainder when 141 is divided by s/(-4) + 394/8.
43
Suppose -4*w + 5*i - 24 + 80 = 0, 52 = 4*w - 4*i. Suppose 7*d = -2 + 2. Suppose d = -12*v + 2*v + 350. Calculate the remainder when v is divided by w.
8
Let v = 164 - 148. Let m = 245 + -161. Calculate the remainder when (5 + -9)/(2*(-3)/m) is divided by v.
8
Let c = -265 - -268. Suppose -5*m = -c*z + 630, z = 11*m - 8*m + 210. Calculate the remainder when z is divided by 67.
9
Let g = -1362 - -1384. Suppose 3*w = t + 2 + 4, 4*w - 6 = 2*t. Suppose -4*c = t*b - 512, -128 = -c - 0*b - b. Calculate the remainder when c is divided by g.
18
Suppose 3*x + x = -4*o, 4*o = -12. Suppose -f + 3*g = -14, -2*f + 14 + 30 = -2*g. What is the remainder when (x - (-3 + -14))*9 is divided by f?
24
Suppose 101*b - 43026 = 261388. Calculate the remainder when b is divided by 45.
44
Suppose -5*d + 3*d = l - 30, -4*l + 136 = 4*d. What is the remainder when 54 is divided by (-1235)/l*(-1 + 6/10)?
2
Suppose -4*u + 2564 = -4*q + 1004, 784 = 2*u + 2*q. What is the remainder when u is divided by 109?
64
Let f be 21/1*(-2)/(-6). Let t be (12/(-5) + 2)/(f/35). What is the remainder when 79 is divided by (6 + t)*(-11)/(-2)?
13
Let u(m) = -4*m**3 + 751*m**2 + 3*m**3 - 722*m**2 + 38 - 14*m. Calculate the remainder when u(28) is divided by 48.
46
Let k = -1358 + 1390. Let h be (-60)/(-3 + -1) - -2. Suppose 0 = -o - u - 5 + h, 2*o = -5*u + 30. Calculate the remainder when k is divided by o.
2
Suppose 73 = -20*d - 127. What is the remainder when d/(-2) - (-30 + -74) is divided by 29?
22
Suppose 24*f = -0*f - 984. Let c(u) = u**3 + 39*u**2 - 84*u - 33. What is the remainder when 155 is divided by c(f)?
8
Let w = 7282 + -5802. Calculate the remainder when w is divided by 19.
17
Let i = 54 - 93. Let j = 8 - i. Calculate the remainder when j is divided by (136/12)/((-2)/(-3)).
13
Suppose -16*c + 109*m = 114*m - 1290, -4*c = -4*m - 312. Calculate the remainder when c is divided by 69.
11
Suppose -38*h + 60 = -26*h. Suppose h*w - 2224 = -2*p, -2*w + 4*p + 1313 = 433. Calculate the remainder when w is divided by 56.
52
Let x(o) = 7*o**2 - 14*o - 4. Let m be x(4). Let r(w) = 4*w**2 + 0 + 10 - 15*w + 2*w**2 + m*w. What is the remainder when 86 is divided by r(-7)?
41
Let y = 99 - 75. Let k = -8 + 8. Suppose k = h + 5*d - 117 + 24, -2*h - 3*d = -186. Calculate the remainder when h is divided by y.
21
Let z(o) = 326*o**3 - 3*o + 4. Let u = 214 - 213. Calculate the remainder when z(u) is divided by 55.
52
Let q(x) = -x**3 - 6*x**2 + 39*x - 1. Let c be q(-10). Let l(m) = -m**3 + 10*m**2 - 7*m - 5. What is the remainder when 63 is divided by l(c)?
11
Suppose -3*r = -z - 28, r + 4*z = -r. Let g = 409 - 203. Let o = g - 200. What is the remainder when r is divided by o?
2
Let z = -199 - -115. Let c be z/32*-2 + 4/(-16). Suppose 0*y = y + c*v - 12, -3*y - 4*v + 58 = 0. Calculate the remainder when 65 is divided by y.
21
Let y be ((-2)/(-6*1))/((-9)/(-135)). Suppose 0 = 3*b + 5*v - 8, -5*b - y*v = -22 + 2. Suppose 128 = b*d - 2*d. Calculate the remainder when d is divided by 13.
6
Let x = -19570 - -19646. What is the remainder when x is divided by 33?
10
Let n = 35 - -47. Let j = -34 + n. Let l(z) = -z**2 + 59*z - 850. What is the remainder when j is divided by l(31)?
12
Let w(v) = 28 - 4 - 23 - 7 - 2*v**2 - 32 + 59*v. What is the remainder when w(22) is divided by 42?
40
Let r be (-10 - -5) + 1 + 4. Suppose r = -4*o + 165 + 511. Calculate the remainder when o is divided by 44.
37
Let m(f) = -13*f + 258. Suppose 0 = -240*x + 234*x + 66. Suppose 0 = -h - 4*h + 145. Calculate the remainder when m(x) is divided by h.
28
What is the remainder when 8*(-10)/(-1680) - 795050/(-210) is divided by 40?
26
Calculate the remainder when ((-33)/(-6))/((-4)/46 + 2175/23690) is divided by 102.
11
Suppose 0 = -7*h + 103 + 44. Let n = -890 - -928. What is the remainder when n is divided by h?
17
Let g(r) = -r**3 - 13*r**2 + 15*r. Let x be g(-14). Let y = -10 - x. Calculate the remainder when 17 is divided by 5*((-25)/(-20) - 1/y).
2
Calculate the remainder when ((-96)/(-28))/((-12)/(-8274)) is divided by 16.
12
Suppose -2*u + 67 = 2*j - 411, 0 = -3*u + 3*j + 705. Suppose 0 = 4*m + 15*a - 16*a - 63, 2 = 2*a. What is the remainder when u is divided by m?
13
Suppose -41*n + 1269 = -2175. What is the remainder when 396 is divided by n?
60
Let j = -10364 + 10800. Calculate the remainder when 1745 is divided by j.
1
Let p be ((-25)/(-5))/(3/18). Suppose 254*f + p = 260*f. What is the remainder when 49 is divided by f?
4
What is the remainder when 2004 is divided by 29 - ((-30)/8 + 0 - 2975/2380)?
32
Let m(o) = -o + 4. Let t be m(2). Let h = 25 - -17. What is the remainder when (t/(-1))/((-22)/2299) is divided by h?
41
Let f be 1 - (5/((-15)/18) + 3). Let j be 5/f - 2/8. Calculate the remainder when -1*(0 + -1 - j - 29) is divided by 8.
7
Let c = -31 + -14. Calculate the remainder when (18/4)/((-9)/12) + 53 is divided by c/6*(-126)/35.
20
Suppose 0 = -679*b + 699*b - 760. Let s(d) = 8*d + 50. What is the remainder when s(17) is divided by b?
34
Let c be 1/1 - (1 - 0). Suppose c*x - 84 = -4*x. Let o(z) = 4*z**3 - 29*z**2 - 112*z + 503. Calculate the remainder when o(9) is divided by x.
20
Let m = -438 + 441. What is the remainder when 2798/(-2)*m/(-3 - 0) is divided by 28?
27
Calculate the remainder when (-3)/(9/(-63) + 250/2485) is divided by 1.
0
Suppose 4535 = -9*g + 4787. Suppose -374 = -7*j + 599. What is the remainder when j is divided by g?
27
Let g be (0/1 + 2)/((-100)/350). Let d(a) = 5*a + 82. What is the remainder when d(g) is divided by 27?
20
Suppose 0 = -5*y + 23 - 8. Suppose -y*g + 30 = 2*g. Let d(q) = 2*q**2 + 3*q - 17. What is the remainder when g is divided by d(-4)?
0
Let m = -172 - -43. Let u = 149 + m. Let d = 71 + -12. Calculate the remainder when d is divided by u.
19
Suppose -357*r + 355*r + 12 = 0, 0 = -4*h - 4*r + 604. Calculate the remainder when 593 is divided by h.
13
Suppose -76 = -16*y - 3*y. Suppose 3*r = -6, 3*r = y*k - k - 567. What is the remainder when k is divided by 32?
27
Calculate the remainder when (143 - 1)*10*-10*(-36)/480 is divided by 82.
81
Let o(b) = b**2 + 21*b + 135. What is the remainder when 3/((-27)/2) + (-1869)/(-27) is divided by o(-10)?
19
Let v(q) = 1376*q - 30219. Let k(b) = 13*b**2 + 2*b + 1. Calculate the remainder when v(22) is divided by k(-1).
5
Let q be (0 + 2)*(1 - (0 + 2)). Let s be q + 6 + -2*(-4)/(-8). Suppose -s*r = 0, -2*u - 4*r = -16 + 6. What is the remainder when 32 is divided by u?
2
Suppose -88*n + 25117 = -10042 + 9551. What is the remainder when n is divided by 276?
15
Let l = 25046 + -24999. Suppose -18 = -2*x - x. Suppose x*p = 3*p + 21. What is the remainder when l is divided by p?
5
Calculate the remainder when 8*((-1 + -4)*-50 - -1) is divided by 663.
19
Suppose -6*k - 376 = 104. Calculate the remainder when (-232)/k*(-10)/(-4)*4 is divided by 23.
6
Let m(u) = 2*u**2 - 18*u + 18. Let a be m(9). Let k be a + (-3 - (-4)/2 - -3). What is the remainder when k*(-3 - 93/(-15)) is divided by 11?
9
Let g(x) = -x + 16. Let q be g(11). Suppose 10*m = q + 325. Calculate the remainder when 56 is divided by m.
23
Calculate the remainder when (3 + (-27)/6)*(13 + -12)*-422 is divided by 48.
9
Let m(p) = 9*p**2 - 7*p - 1. Calculate the remainder when 712 is divided by m(2).
19
Suppose -3*r + 4*a + 262 - 167 = 0, a = 3*r - 107. What is the remainder when r is divided by (11 + -4)*(-10)/(-7)?
7
Suppose -4*u = -3*k - 0*u - 31, -4*u + 6 = 2*k. Let r(o) = -2*o + 132. What is the remainder when r(32) is divided by 230/25*k/(-2)?
22
What is the remainder when -1607*(-13)/((-234)/(-18)) is divided by 50?
7
Let v = -58 + 98. Let l = 238 - 170. Let j = l - v. What is the remainder when 53 is divided by j?
25
Suppose 0 = -4*b + 34 - 6. Suppose -10*w + 690 = -b*w. Calculate the remainder when w is divided by 79.
72
Let b(h) = h**3 + 67*h**2 + 65*h - 3. Let g(s) = 67*s**2 + 4*s + 5. What is the remainder when g(-2) is divided by b(-66)?
13
Suppose -6*v = -3*v - 21. Suppose -102 - 59 = -v*x. What is the remainder when (-16)/(-4)*(-86)/(-8) is divided by x?
20
Suppose 0 = 6*q - 4*q - 40. Suppose 6*n + 4 = 7*n