- 2108 = -23*c - 1116. Calculate the remainder when c is divided by 19.
18
Let s(o) = 0*o + o**2 - 4*o - o**2 + o**2 - 23. Let g be s(7). Calculate the remainder when 51 is divided by g/(-5) - 6/15 - -13.
12
Suppose -11*c + 8*c - 5*i = -5791, -5*i = 5*c - 9655. Calculate the remainder when c is divided by 642.
6
Suppose -370 + 1167 = 21*p - 253. What is the remainder when 87 is divided by p?
37
What is the remainder when 994 is divided by (546/117)/(14/18)?
4
Let w(t) = 61*t - 6. Let a be w(2). Suppose -8*k + 12*k = a. Let v(b) = 11*b - 6. What is the remainder when k is divided by v(2)?
13
Suppose r = 5*q - 12, 5*q = 4*r - r + 6. Suppose n = -4*x + 467, -7*n + 2*n = q*x - 346. Calculate the remainder when x is divided by 3.
0
Suppose 238*n = 228*n + 5640. Let f = n + -507. Calculate the remainder when 1309 is divided by f.
55
Let f = -398 + 399. Calculate the remainder when 182 is divided by (1 - f) + (11 - -27).
30
Suppose -3*p = -5*w - 5*p + 27, 5*p + 13 = -w. Suppose w*x = -4*x + 682. Calculate the remainder when 184 is divided by x.
60
Suppose 39*y - 72*y + 326299 = -172199. Calculate the remainder when y is divided by 2.
0
Suppose -285 = 25*k - 26*k + g, -277 = -k + 5*g. What is the remainder when 329 is divided by k?
42
Suppose -32*r - 3758 = -29102. Suppose 0 = -25*p + 61*p - r. What is the remainder when 128 is divided by p?
18
Suppose 8*b = -10*b - 2934. Let m = b - -175. Calculate the remainder when 154 is divided by m.
10
Let c(z) = -z + 10. Calculate the remainder when (63 + -10)*(-6 - -7) is divided by c(-9).
15
Let w = -3010 - -3302. Calculate the remainder when w is divided by 2.
0
Suppose 69 + 72 + 141 = 3*h. Suppose 0 = -0*g - 2*g + 28. Calculate the remainder when h is divided by g.
10
Suppose -j + 2*q - 1834 = -5*j, 5*j + 2*q = 2290. Suppose 3*b = -b + j. Suppose 0 = 9*x - 7*x - b. Calculate the remainder when x is divided by 15.
12
Suppose -z - 13 = k - 23, -38 = -3*z - k. Suppose 5*b + 26 = -4*g - 6, 0 = b - g + 1. What is the remainder when z is divided by 3*((-40)/15 - b)?
2
Let m be (-7)/14*-3*14/3. Suppose 0 = m*s - 5*s - 74. What is the remainder when 104 is divided by s?
30
Suppose 0 = 2*j, -a + 46 = 6*j - 7*j. Calculate the remainder when 50 is divided by a.
4
Let d(x) = 942*x - 4440. Calculate the remainder when 730 is divided by d(5).
190
Suppose 5*r - 276 = 3*y, 5*r - 4*y - 297 = -8*y. Calculate the remainder when 673 is divided by r.
46
Suppose -2*x + 0*x + 10 = 0. Suppose 2*h = -4*h - 6*h. What is the remainder when 12/(-18)*-9 + (1 - h) is divided by x?
2
Let k(y) = -58*y**2 + 7*y - 10. Let w be k(3). Let u = 541 + w. What is the remainder when 36 is divided by u?
6
Let d = 1599 + -1522. Calculate the remainder when 4771 is divided by d.
74
Let o(l) be the first derivative of -l**3/3 + 2*l**2 + 6*l + 32. Calculate the remainder when 31 is divided by o(4).
1
What is the remainder when (-9 - (-8 - -1))/(6/(-447)) is divided by 27?
14
Let j(m) = -5*m - 17. Let c be j(-4). Suppose -4*o + 96 = -4*p, o + 0*o - 4 = -c*p. Suppose 32*v = 28*v + 20. What is the remainder when o is divided by v?
4
Let z = -2 - -29. Suppose 0 = 5*q + 206 - 181, 0 = -o + 5*q + 31. Calculate the remainder when z is divided by o.
3
Let j = 8693 + -8310. Calculate the remainder when j is divided by 182.
19
Let d(b) = 76*b + 661. What is the remainder when 105 is divided by d(-8)?
52
Let a = 58 + -55. Suppose 0*n - 2*z - 12 = -2*n, -n - a*z - 6 = 0. Suppose -n*f = 3*c - 537, -5*f = -4*f + 4. What is the remainder when c is divided by 23?
22
Let g(a) = -a**3 + 2*a**2 + 4*a + 4. Suppose 3*n + 2*s - 280 = 34, 4*n - 396 = 3*s. Calculate the remainder when n is divided by g(-3).
28
Suppose 62*w + 420 = 74*w. Calculate the remainder when 239 is divided by w.
29
Suppose 3*z + 56*i - 59*i = 27237, -3*z + 27213 = 5*i. What is the remainder when z is divided by 29?
28
Suppose -12 = -3*w + 6. Let n(v) = v**3 + 1. Let b(q) = 15*q**3 + 2*q**2 - 2*q - 6. Let y(d) = w*n(d) + b(d). What is the remainder when y(1) is divided by 7?
0
Let s(m) = 11*m + 71. Let w(f) = -7*f - 94. Let x be w(-13). What is the remainder when 186 is divided by s(x)?
34
Let a(z) = 11*z**3 - z + 1. Calculate the remainder when (-2)/(-4)*(23 - -503) is divided by a(1).
10
Let j(o) = 11*o + 5 + 97 - 15 + 46 + 89. Let x(w) = -6*w - 4. What is the remainder when j(-13) is divided by x(-4)?
19
Suppose 0 = -30*z + 5524 - 1804. Let t(x) = -x**2 - 26*x + 32. Calculate the remainder when z is divided by t(-26).
28
Let j(y) = -y + 9. Let c(u) = u - 8. Let i(p) = -3*c(p) - 4*j(p). Let x be i(-16). Calculate the remainder when 54 is divided by (-31)/(-1) - -12*7/x.
26
What is the remainder when 50 is divided by ((-126)/147)/(2 + 1*510/(-252))?
14
Let x(u) = 6*u**3 - 6*u**2 - 25*u + 214. What is the remainder when x(6) is divided by 227?
9
What is the remainder when 2097 is divided by (-64)/(-736) - (((-8940)/115)/3 + -2)?
25
Let b = -143 - -147. What is the remainder when (5 - 5901/(-49)) + b/7 is divided by 16?
14
Let w(u) = 17*u + 370. Let g(y) = -11*y - 247. Let r(k) = -8*g(k) - 5*w(k). Calculate the remainder when r(-23) is divided by 30.
27
Let r(m) be the first derivative of 35*m**2/2 + 2*m - 18. What is the remainder when r(4) is divided by -5 - -2 - (46/(-2) + 2)?
16
Let a = 430 + -607. Let h = 194 + a. Calculate the remainder when 68 is divided by h.
0
Let y(w) = -35*w - 42. Let m be y(7). Let o = -262 - m. What is the remainder when o is divided by 1?
0
Suppose 5*v = -2*g + 40794, -2*v - 8157 = -3*v - g. Suppose p = 6*p - v. Suppose -p = -9*u - 3*u. Calculate the remainder when u is divided by 46.
44
Suppose 6*w - 11*w = 5065. Let p = 1465 + w. Suppose -y - p = -3*b, 4*y - 278 = 3*b - 5*b. Calculate the remainder when b is divided by 50.
49
Suppose 4*w + 3*g = 188, 2*g - 31 = -4*w + 161. Suppose 53*v - 144 = w*v - 3*b, -5*v + 224 = b. What is the remainder when 131 is divided by v?
43
Let l be 1/((-3)/(-12))*(-111)/(-12). Suppose -3*r = 5*o - 86, 5*r + l - 171 = o. Suppose 0 = -4*g + 185 + 127. What is the remainder when g is divided by r?
24
What is the remainder when 416 is divided by (243/(-15) - -1)/(13 - (-591)/(-45))?
74
Let u = 2814 - 2800. What is the remainder when 1354 is divided by u?
10
Let z(v) be the first derivative of 3*v**2/2 + 33*v - 8. Let s be z(-11). Calculate the remainder when 4 is divided by 4 - s*1/5.
0
Let g(x) = x**3 - 28*x**2 - 58*x + 23. Let o be 20/(-2*-1*2/6). Let y(d) = -d**3 + 6*d**2 + 5*d - 9. Calculate the remainder when g(o) is divided by y(6).
20
Calculate the remainder when (14 - 41)/(5/(-995)) is divided by 28.
25
Let v = 15923 - 5634. What is the remainder when v is divided by 88?
81
Let m = -4 + 4. Suppose -r - r + 10 = m. Suppose -r*i + 32 = -28. Calculate the remainder when 47 is divided by i.
11
Suppose 3*f = 3, 47 = 2*a + 222*f - 217*f. What is the remainder when 1971 is divided by a?
18
Calculate the remainder when 422 + (-10)/(70/(-7)) is divided by 34.
15
Let r(o) = o**2 - o - 67. Let m be r(9). Suppose z + z - m*v - 102 = 0, -252 = -4*z - 2*v. What is the remainder when 299 is divided by z?
55
Let v = -84 - -129. Suppose -43 = -2*o + 72*s - 75*s, 4*o = -4*s + 76. What is the remainder when v is divided by o?
3
Let q(s) = -46*s + 478. Suppose -3*l = -48 - 96. What is the remainder when l is divided by q(10)?
12
Calculate the remainder when 31 + -45 + (-428)/(-1) is divided by 140.
134
Suppose -3*x + d = 19, 0 = -3*x - 4*d - 17 + 3. Calculate the remainder when x/5 - (-732)/10 is divided by 35.
2
Let w(v) = v**3 - 49*v**2 - 33*v - 162. Calculate the remainder when w(50) is divided by 19.
4
Let t(q) = -6*q + 22. Let b be t(3). Suppose 35 + 17 = b*u. What is the remainder when u is divided by 5?
3
Let v = 33 + -31. Let s(o) = -263 + 263 + 5*o**v + 11*o**3 - 4*o**2. Calculate the remainder when s(1) is divided by 5.
2
Suppose -2*h = -6*h + 152. Suppose -44 = o - 48. Suppose u - o*z - 32 = -u, -2*u = z - 17. What is the remainder when h is divided by u?
8
Let k(v) be the second derivative of 11*v**4/12 + 5*v**3/6 + 16*v. Let y be k(-4). Suppose 13*j - 468 = -y. What is the remainder when j is divided by 14?
10
Suppose 32 = -510*v + 518*v. Let q(o) = 83*o - 218. What is the remainder when q(v) is divided by 53?
8
Suppose -3*o + 12 = 0, 5*n 