. What is the remainder when 82 is divided by w(16)?
39
Suppose -59*m = -70*m + 1507. Suppose -414 = -19*l + m. What is the remainder when 141 is divided by l?
25
Suppose 0 = 11*w - 0*w - 77. Suppose -w*l = 4*l - 770. What is the remainder when l is divided by 42?
28
Suppose 0 = 1231*q - 1248*q + 14 + 122. Let c(u) = 6*u - 1. Let d be c(-2). Let i = 26 + d. What is the remainder when i is divided by q?
5
Let y(t) = -t**3 + 29*t**2 - 2*t + 139. What is the remainder when y(29) is divided by 64?
17
Let v = 47707 - 47363. What is the remainder when 2381 is divided by v?
317
Suppose -7105 = 205*u - 49335. What is the remainder when u is divided by 90?
26
Let g = -1272 - -1355. Let c(u) = u**3 + 7*u**2 - 10*u. Let x be c(-8). What is the remainder when g is divided by x/(-6)*(-9)/2?
11
Let y = 35 + -27. Let t be (-2)/5 - y/(-20). Suppose 5*v + t*v - 232 = -4*x, 2*x - v = 130. Calculate the remainder when x is divided by 17.
12
Suppose 2*a = 5*r - 9, 9 = 4*r - 3. Let p(j) = j**3 - j**2 - 8*j + 3. Let x be p(a). What is the remainder when 22 is divided by 3*-6*1/x?
4
Let a be 28/(-7) + (-1 - -7). Suppose 29 = -3*q - a*k, -4*q = -0*k - k + 24. Let v = q - -30. What is the remainder when v is divided by 17?
6
Let u(t) = -2*t**3 - 6*t**2 + 30*t - 13. Let y be u(-6). Suppose -333 = -y*r + 771. What is the remainder when r is divided by 21?
6
Suppose 2*o = 5*n + 639, o + 3*n - 165 = 138. Let d = 476 - o. What is the remainder when d is divided by 33?
32
Let j = -415 - -963. Calculate the remainder when j is divided by 56.
44
Let v = -824 + 900. Suppose -3*f + 3*x = -2*f - 818, -2*f - 2*x + 1676 = 0. Calculate the remainder when f is divided by v.
73
Suppose 4*r + 4*t = 376, 3*r + 2*r + 3*t - 472 = 0. Suppose 2*o + r = 7*o. Calculate the remainder when 26 is divided by o.
7
Let x be -13 - (-3 + 88)/(-5). Let i = -86 - -41. Calculate the remainder when ((-6)/x + 1)*(i - 1) is divided by 11.
1
Calculate the remainder when 0 + 59670/(-204)*(1 + -3) is divided by 76.
53
Let o(s) = -2*s**2 + 32*s + 57. Let p be o(15). Suppose -b + 6*b + p = 3*d, -d + 46 = 4*b. Calculate the remainder when 677 is divided by d.
31
Let w(d) = 45*d - 406. Calculate the remainder when w(103) is divided by 92.
89
Suppose 2*t = -t. Suppose t*z - 4*z = -3*f + 36, 2*z - 5*f + 32 = 0. Calculate the remainder when 15/(2 - (-9)/z) is divided by 8.
6
Let h = -9458 + 9477. What is the remainder when 569 is divided by h?
18
Suppose 2*c + y - 107 = 0, -3*c - 3*y = -55 - 104. Suppose -2*b - 18 = -2*a, 17*a + 2*b = 18*a + 1. Calculate the remainder when c is divided by a.
16
Let y(v) = v**2 - 15. Let x be 3 + ((-1 - 0) + -1 - -2). Suppose -x*z - 12 = -0*z, 4*j + 3*z + 36 = 0. What is the remainder when 123 is divided by y(j)?
18
Let w(m) = 2*m**3 - 7*m**2 + 17*m - 62. Suppose 2*l = -5*h + 246, 2*h + h + 3*l - 144 = 0. What is the remainder when w(5) is divided by h?
48
Suppose -529 = -3*n + o + 651, 3*n + 2*o = 1186. Calculate the remainder when n is divided by 61.
28
What is the remainder when 68 is divided by 10*(-14)/28 - (-20)/(1/1)?
8
Let b = -52 + 62. Suppose -86*a + 84*a = -b. Suppose -a*z + 225 = 3*w, z = 5*z - 4*w - 148. What is the remainder when z is divided by 11?
9
Let m = 29 + -17. What is the remainder when 1208/(-55*16/(-40)) - 1/(-11) is divided by m?
7
Suppose -b = -4*f - 1591, -3*b + 4*f = -7*b + 6344. What is the remainder when b is divided by 10?
7
Suppose j + 525 = 6*j. Let g = -104 - -108. What is the remainder when j/18 + 2/12 - -3 is divided by g?
1
Let a(l) = -2*l - 28. Suppose 0 = y - 0*k - 3*k - 3, -51 = 3*y + 3*k. Let v be a(y). Calculate the remainder when ((-132)/(-12))/((-1)/v) is divided by 15.
14
Calculate the remainder when (-28)/(-42) - (-790)/3 is divided by ((-35)/20)/(2/(-16)).
12
Let p(z) = -125*z - 9. Let b be p(-4). Let j = b + -485. What is the remainder when 4/10 - 336/(-10) is divided by j?
4
Suppose 0 = -30*f - 3*f + 1188. Let i = -15 + f. What is the remainder when 334 is divided by i?
19
Let o = 13 + -8. Let s be 5/(-2)*56/(-10). Let a(y) = 12*y - 145. What is the remainder when a(s) is divided by o?
3
What is the remainder when 1893 is divided by (4 + -2)/((-62)/310) - -52?
3
Let s(q) = -q - 3. Let f be s(-4). What is the remainder when 16 is divided by f/((-6)/48*(-3 + 1))?
0
Suppose -3*a = -3*u - 16161, 3*a - u - 13624 = 2549. What is the remainder when a is divided by 38?
35
Suppose 7*a - 2*a = 70. Let v(b) be the first derivative of -b**4/4 + 3*b**3 + 35*b**2/2 + 6*b + 44. Calculate the remainder when v(-5) is divided by a.
13
Let y = 2601 - 1666. Calculate the remainder when y is divided by 41.
33
Suppose -288 + 801 = 27*t. What is the remainder when 8358 is divided by t?
17
Suppose 4*v + 0*k + 5*k = -10, 5*k + 10 = 0. Suppose v = -11*z - 57 + 464. Calculate the remainder when (1 - 2)/((-2)/144) is divided by z.
35
Suppose 2352 = -4*r - 2*x, 4*x + 1170 = -13*r + 11*r. Calculate the remainder when 3/(-12)*r + 2/(-8) is divided by 77.
70
Suppose -28 = -4*g + 4*u, -5*u - 34 + 9 = -4*g. Let t be 10/5*(-5)/(-1). Let d = g + t. What is the remainder when d is divided by 8?
4
Suppose 0 = 2*v + 8, 2*b + 0*b = -3*v + 62. Let k = b + -163. Let q = k - -132. What is the remainder when 20 is divided by q?
2
Let t(v) = 12 - 76*v - 26*v**2 - v**3 + 0*v**3 + 27*v. Let c be t(-24). What is the remainder when 64 is divided by ((-132)/c)/((-1)/3)?
9
What is the remainder when 13/(-14 - 1899/(-135)) is divided by 6?
3
Suppose 4*k - 1032 = -10*k - 29*k. What is the remainder when 633 is divided by k?
9
Let g = -280 - -293. Suppose g*o = 271 - 24. Calculate the remainder when 50 is divided by o.
12
Let w = 396 - 391. Let q(i) = 79*i - 141. Calculate the remainder when q(w) is divided by 16.
14
Suppose 674 = 13*m - 5865. Let j(a) = -9*a - 18. Calculate the remainder when m is divided by j(-6).
35
Let y(k) = -43*k + 459. Calculate the remainder when y(10) is divided by 7.
1
Suppose -k - 3*h + 50 = 0, k + 5*h = 2*k - 26. Suppose 0 = -36*o + 2596 + 248. Suppose o + 339 = 19*m. Calculate the remainder when k is divided by m.
19
Suppose 4*v - 244 = -227*r + 231*r, -3*v = r - 163. Calculate the remainder when 220 is divided by v.
52
Suppose -10*t + 9*t + 31 = 0. Let m(c) = c**2 - 12*c + 25. Let j be m(10). Suppose -j*x = 5, 4*q + 0*q = 5*x + 37. What is the remainder when t is divided by q?
7
Let w be ((-96)/144)/(4/(-6)). Calculate the remainder when -53 + 107 + (7 - w) is divided by 7.
4
Suppose -175 = 2*b + j, 0 = 2*b + 3*j + 1 + 184. Let w = -81 - b. Let l(n) = n**2 + 6*n - 3. What is the remainder when l(w) is divided by 19?
18
Suppose 102*f - 117601 = 26*f + 6051. Calculate the remainder when f is divided by 433.
328
Let i(o) = o**3 - 4*o**2 - 3*o + 5. Suppose 143 = 24*g - 121. Suppose -23 + 364 = g*k. Calculate the remainder when i(6) is divided by k.
28
Let h = -20 + 6. Let i(j) = 2*j + 47. What is the remainder when i(h) is divided by 3?
1
Let x(b) = -b**2. Let g be x(1). Let o(n) = -51*n**2 - 6*n - 1. Let w be o(g). Let u = 70 + w. What is the remainder when u is divided by 9?
6
Let v(l) = -l**3 - 2*l**2 - 11*l - 25. Let n = -15 - -19. Let u = n + 22. Calculate the remainder when v(-4) is divided by u.
25
Suppose -4*s - 24 = -s. Let b be ((-6)/s)/(4/288). Suppose b + 114 = 6*k. What is the remainder when k is divided by 8?
4
Suppose -1270*q + 1266*q = -95 - 125. What is the remainder when 119 is divided by q?
9
Let l = 12617 + -12603. Suppose 5*x - 2*m - 405 = 836, 2*x + 3*m - 504 = 0. Calculate the remainder when x is divided by l.
11
Let l = -1079 + 1090. Suppose 12*b - 3*b = 576. Calculate the remainder when b is divided by l.
9
Let f be 4/(-10) - (-3 + (-2320)/50). Suppose -39 - f = -4*c. What is the remainder when 42 is divided by c?
20
Suppose 35*t = -37*t + 17321 - 2489. Calculate the remainder when t is divided by 26.
24
Suppose -9*d + 4*d + 5 = 0, 2*n = -d + 147. What is the remainder when 800 is divided by n?
70
Suppose 3*w - 2929 = 4*b, 3*b - 3208 + 307 = -3*w. What is the remainder when w is divided by 82?
69
Let f = 537 + -508. Let d = 74 - f. What is the remainder when 223 is divided by d?
43
Let a(r) = -798*r + 1645. What is the remainder when a(0) is divided by 30?
25
Suppose -214*v = -213*v - 403. Suppose v = 2*h + 305. Let c = 47 - 37. C