ppose 4*z + 2856 - 197 = 5*x, -555 = -x - 5*z. Calculate the remainder when x is divided by 50.
35
Suppose -3 - 5 = 2*v. Let f = 54 + v. Calculate the remainder when f is divided by (13 + 9 + -18)*(-13)/(-2).
24
Let w = 47 - 33. Let h = 12 - -7. Suppose -h*d + 319 = -403. What is the remainder when d is divided by w?
10
Suppose 7 = h - u, 11 = 3*h + u - 2*u. Suppose 79 = -3*v + h*v. Let i = v - -94. What is the remainder when 58 is divided by i?
13
Let s be ((-3591)/(-252))/((-4)/(-16)). Let x = -13 + -42. Let g = x + s. What is the remainder when 7 is divided by g?
1
Let t(n) be the third derivative of 0 + 19*n**2 + 0*n - 1/8*n**4 + 1/3*n**3. What is the remainder when 62 is divided by t(-2)?
6
Let n = 320 - 270. Suppose 46 + 8 = 3*u - 2*d, -72 = -4*u + 2*d. Calculate the remainder when u is divided by (0 - 6/(-5))/(6/n).
8
Suppose -s + 2*i + 3 = 0, 0*s + i = -s + 6. Suppose 4*g - 305 = -s*m, 0*g - 4*g + 270 = -2*m. Let c = -61 + g. Calculate the remainder when 14 is divided by c.
5
Let k = 2198 - 2048. Calculate the remainder when 1949 is divided by k.
149
Let q = -4002 + 4015. Calculate the remainder when 116 is divided by q.
12
Let r be (1944/(-7))/(-6) - (-2)/(-7). Let b = -38 + r. Let l = 162 - 91. What is the remainder when l is divided by b?
7
Suppose 78*l - 6 = 75*l. Let i(w) = 2*w**3 + w**2 + 2*w + 5. What is the remainder when 123 is divided by i(l)?
7
Let g(b) = -b**3 - 22*b**2 - 6*b - 127. Let t be g(-22). Calculate the remainder when ((-1 + t)*-139)/(-13 + 12) is divided by 13.
10
Suppose -20*i = -3*i - 1768. Calculate the remainder when 54 is divided by (i/(-6))/(35/(-105)).
2
Let s(l) = -l**3 - l**2 + 5*l + 5. Let v(m) = 3*m**3 + 114*m**2 + 111*m + 63. What is the remainder when v(-37) is divided by s(-4)?
30
Let m be (-5)/(-50)*5 - (-5)/2. Suppose 0 = m*l - 50 - 493. Suppose -85 = -2*a - 57. Calculate the remainder when l is divided by a.
13
Suppose 5*d - 10*d - 3 = -3*l, -4*d = -l - 6. Calculate the remainder when ((-420)/200 + 15/25)/((-3)/58) is divided by l.
5
Suppose 196 = 5*h + 66. Suppose -503*q + 119*q + 283774 = 1042*q. What is the remainder when q is divided by h?
17
Let n(z) = 131*z + 9. Let c(b) = -260*b - 19. Let s(x) = -3*c(x) - 5*n(x). Calculate the remainder when s(1) is divided by 40.
17
Let j = -3292 - -3314. What is the remainder when 2441 is divided by j?
21
Suppose -39*o - 640 = -1498. Calculate the remainder when o is divided by 11.
0
Let l = 20021 + -19992. What is the remainder when 532 is divided by l?
10
Suppose -640*k - 1958748 = -754*k. What is the remainder when k is divided by 48?
46
Let x(a) = -a**3 - 5*a**2 - 3*a - 60. Suppose 2*c = r + 4 - 16, 41 = -5*c - 3*r. Calculate the remainder when 351 is divided by x(c).
56
Suppose -2*y + 0*y = -4. Let q = 56 + -36. Suppose -5*j = 2*h + 13 - q, -2*h - 8 = 0. Calculate the remainder when j is divided by y.
1
Suppose -33*f + 18 = -32*f. Let s(u) = 13*u - 157. What is the remainder when s(20) is divided by f?
13
Let l be 62/93*(-285)/(-2). Let u = l - 68. What is the remainder when 75 is divided by u?
21
Suppose -5*g = -83 - 22. Calculate the remainder when 27 is divided by ((-22)/(-55))/((g/(-30))/(-7)).
3
Let f be (8 + 3824/24)*3. Suppose -4*k = 2*i - 452 + 42, 5*k - i = f. What is the remainder when k is divided by 23?
9
Let p = 6284 - 6251. Suppose -2*r - 2*j + 32 = 0, 4*j + 39 = 4*r + 3*j. Calculate the remainder when p is divided by r.
0
Suppose -29960 + 4785 = -41*p + 83352. What is the remainder when p is divided by 2632?
15
Let q = 2861 - 2263. What is the remainder when q is divided by 289?
20
Suppose q + 2 = 0, 5*f - 1238 = -2*q + 363. Calculate the remainder when f is divided by 63.
6
Suppose w - 3*w = -18. Let s = 32 - w. Let k(z) = 68*z**2 + 351*z - 351. What is the remainder when k(1) is divided by s?
22
Suppose 3*a - 397 = -5*x, -a - 192 = 3*x - 319. Calculate the remainder when a is divided by 35.
34
Suppose 43*d - 22461 = -15. Calculate the remainder when d is divided by 33.
27
What is the remainder when 74 is divided by (6 + 72/(-16))*26?
35
Suppose -6 = j + 2*n, 3*n - 2*n - 7 = -3*j. Suppose -j*t + 186 = -94. What is the remainder when t is divided by 36?
34
Let a(d) = d**2 + 28*d - 70. What is the remainder when a(-37) is divided by 47?
28
Let d(y) = 4*y**3 + 2*y**2 + y + 9. Let k be d(4). Let h = k - 199. Calculate the remainder when h is divided by 27.
21
Suppose -2246 = 104*u - 7446. What is the remainder when 985 is divided by u?
35
Calculate the remainder when 4588 is divided by (38 - (-5 + 7))*85/20.
151
Suppose 32*p - 317 - 131 = 0. What is the remainder when p is divided by 9?
5
Let y be 20/(-6)*3*(-8)/20. Suppose -i - 5*a - 36 = -y*i, 2*i - 2*a = 24. Suppose -i*w - 40 = -16*w. What is the remainder when w is divided by 5?
0
Suppose -5*h = 22*m - 25*m - 1097, 3*m - 223 = -h. Calculate the remainder when h is divided by 16/((-34)/(-21) - 12/9).
52
Calculate the remainder when (-24196)/(-22) - -1 - (190/(-55))/19 is divided by 158.
153
Let h be (-2)/(6 - 1664/278). Let y = h + 233. Calculate the remainder when y is divided by 33.
28
Let k be 0 + (2 - 1) + -1. Suppose 37 = -29*o + 50*o - 5. Suppose k = -o*f - 4*f + 216. What is the remainder when 142 is divided by f?
34
Suppose 582*z + 7952 = 610*z. What is the remainder when z is divided by 2*-1*-13 - 0?
24
Let k = 363 - 366. What is the remainder when (-20 + -3)/(6/(-3 + k)) is divided by 13?
10
Let a(d) = -d**2 - 50*d - 93. What is the remainder when a(-42) is divided by 36?
27
Let g = -616 + 618. Suppose -g*k + 2*a + 91 + 127 = 0, a = -2*k + 224. What is the remainder when k is divided by 7?
6
Let b = 22 + -18. Let f = 284 + -251. Calculate the remainder when f is divided by 1*(-2)/b*-18.
6
Suppose 30*l = 37*l - 1190. Let b = 179 - l. Calculate the remainder when 15 is divided by b.
6
Calculate the remainder when 433 is divided by (26 - 27)*(-1 + 6)*-1.
3
Let c(x) = 4*x**2 + 6*x + 1. Let p be c(6). Suppose -p = -4*g - 41. Let o = g + -23. Calculate the remainder when o is divided by 8.
4
Suppose o = 2*o. Suppose -9*a + o + 45 = 0. Calculate the remainder when 14 is divided by a.
4
Suppose -1889*s = -1932*s + 596324. What is the remainder when s is divided by 13?
10
Suppose -3 = 3*x, r - 215 = -x + 466. Suppose -510 = 4*j - r. Calculate the remainder when 195 is divided by j.
23
Let q(m) = -8*m - 3. Let n be q(-1). Let x(j) = 3*j**2 - j - 1. Let h be x(n). Suppose -13*y = -16*y + h. Calculate the remainder when y is divided by 6.
5
Let j(p) = -253*p + 1135. What is the remainder when 1352 is divided by j(4)?
122
Suppose 0 = -9*b + 2460 - 849. Let n = b - 170. What is the remainder when n is divided by 2?
1
Let s(q) = q**2 + 5*q + 9. Let n be s(-3). Suppose 0 = -h - 3, -n*h = d + 13 + 69. Let v = d + 87. What is the remainder when v is divided by 8?
6
Suppose 147*a = 184*a + 8791 - 26514. Calculate the remainder when a is divided by 30.
29
Let d = -197 - -213. Suppose d + 28 = a + 2*g, -2*g + 10 = 0. Calculate the remainder when 7/((-7)/(-102)) - 1 is divided by a.
33
Let t(x) = x**3 - 17*x**2 - 14*x - 38. Let f be (-72)/15*30/(-8). Calculate the remainder when t(f) is divided by 7.
6
Suppose 0 = 3*t + s - 3778, -2*t - 3176*s + 2528 = -3180*s. What is the remainder when t is divided by 14?
0
Let s(c) = -60*c + 1391. What is the remainder when 37 is divided by s(23)?
4
Suppose 0 = -49*f - 3872 + 12341 + 4320. Let n(u) = -u**3 + 11*u**2 - 13*u - 8. Let s be n(11). Let d = -85 - s. What is the remainder when f is divided by d?
63
Suppose 2*f = j - 1610 + 4867, -1618 = -f + 2*j. What is the remainder when f is divided by 39?
33
Suppose -45*t + 54 + 305 + 361 = 0. What is the remainder when 173 is divided by t?
13
Suppose 2*f + 38 = 4*q, -f = -6*f - q - 40. Let y(m) = 2*m**2 + 19*m - 21. Let g be y(f). Calculate the remainder when 3 + g/(-1 - 0) is divided by 5.
3
Let m(s) = s**2 + 56*s - 196. What is the remainder when 499 is divided by m(-63)?
9
Let z(d) = d**3 - d**2 - 48. Let n = 3 - 3. Let g be z(n). Calculate the remainder when 40 is divided by g/(-36)*9/2.
4
Let o be (2/1)/2*5. Let u = 1 - -2. Suppose -5*i - 72 = -o*w + u*w, -w - i = -22. What is the remainder when 51 is divided by w?
25
Let r be 1/(-2) + (32685/(-6))/5. Let n be (-3*1)/((-15)/r*-2). Let m = -86 + n. Calc