, 4*v = s + y. What is the remainder when (108 + -2)*3/v is divided by 19?
15
Suppose 10*y + 67 - 62 = 125. Calculate the remainder when 42 is divided by y.
6
Let f(s) = -s**3 - 15*s**2 - 45*s + 47. Calculate the remainder when 3940 is divided by f(-11).
54
Suppose -260*v = -245*v + 1417 - 7342. What is the remainder when v is divided by 64?
11
Suppose -20 = -33*q + 35*q. Let s be 348/20*q*(-4)/(-8). Let l = s - -94. Calculate the remainder when 27 is divided by l.
6
Calculate the remainder when 18 + 27293 - (-20 + 6) is divided by 14.
11
Let b = 3518 - 3515. Let p(r) = r**3 + 3*r**2 - 4*r - 4. Calculate the remainder when p(-3) is divided by b.
2
Suppose -5*z + 45 = 5*l, l + z = 4*z + 1. Let g(x) = 18*x + 53. Calculate the remainder when g(l) is divided by 26.
23
Suppose 789*n - 761*n - 934 - 1306 = 0. What is the remainder when n is divided by (6/5)/(1/30)?
8
Let s(y) = -y**3 - 26*y**2 - 69*y + 18. Let l be s(-23). Suppose -72 = -10*f + l. Calculate the remainder when 88 is divided by f.
7
Suppose -z = -5 + 1. Suppose -3*t - 132 = -3*c, -72 = -z*c - 4*t + 96. Let s(l) = 120*l - 232. What is the remainder when c is divided by s(2)?
3
Let m = -94 - -588. Let x = m + 140. Calculate the remainder when x is divided by 58.
54
Let u(h) = -162*h + 3763. What is the remainder when u(23) is divided by 8?
5
Suppose -305 = 52*j - 53*j. Let o = j - 79. Suppose 4*k - o = -70. Calculate the remainder when 115 is divided by k.
37
Suppose -4*t = -13*t + 945. Let k = -90 + t. What is the remainder when (-347)/(-4) + 3/12 is divided by k?
12
Let b = 28611 + -28464. What is the remainder when 3788 is divided by b?
113
Suppose 61180 = 74*o - 20294. Calculate the remainder when o is divided by 1099.
2
Suppose -12*g = -10*g - 332. Suppose 7*p = 2*p - 240. Let h = p + g. Calculate the remainder when h is divided by 17.
16
Let c(y) = -2*y**2 - 127*y + 242. Calculate the remainder when c(-63) is divided by 5.
0
Suppose 23*z = 2*z + 168. Calculate the remainder when -12*63/(-14)*10/12 is divided by z.
5
Let z be -563*(-4)/24 - 1/(-6). Let y = -61 + z. Suppose -4*x + 4*u = -48, 7 = 3*x - u - y. Calculate the remainder when x is divided by 3.
2
Let r(a) = -2*a**2 - 44*a + 3. Let f(m) = -m**3 - 3*m**2 + 6*m - 5. Calculate the remainder when r(-21) is divided by f(-5).
0
What is the remainder when 22 + (817 - -7) + -3 is divided by 78?
63
Let y(c) = -11*c - 16. Let u be y(8). Let z = u - -157. Suppose -2*g + 97 = -z. What is the remainder when g is divided by 19?
18
Let h(t) be the second derivative of 7*t**4/12 + 11*t**3/6 + 2*t**2 - 25*t. Let o be h(-4). Let x = -48 + o. Calculate the remainder when 71 is divided by x.
23
Let r = -3810 - -3840. Calculate the remainder when 31 is divided by r.
1
Let y = -2 - -21. Let n(c) = 2*c**2 + 28*c - 134. What is the remainder when n(y) is divided by 102?
100
What is the remainder when 1204 is divided by (22/(-20))/(60/(-600))?
5
Let w(p) = -p**3 - 38*p**2 - 43*p - 191. Calculate the remainder when 509 is divided by w(-37).
13
Let h = 101 + -110. Let b(j) = -j**2 - 11*j - 20. Let c be b(h). Let n(y) = 12*y**2 + 7*y + 3. Calculate the remainder when 70 is divided by n(c).
33
Let o(y) = 4*y - 1. What is the remainder when 237/3 + (4 - (5 - 1)) is divided by o(6)?
10
Suppose -w + 78 = 71. Suppose -102 = -5*h - 4*f, -4*h - w*f + 9*f + 66 = 0. What is the remainder when 789/9 - 1/(-3) is divided by h?
16
Let u be (-23)/46 + 81/2. Suppose u*h - 1469 = -229. What is the remainder when 223 is divided by h?
6
Suppose -4216*w + 2508 = -4197*w. Calculate the remainder when 526 is divided by w.
130
Let v(u) = 24*u**2 - 2*u - 2. Let c be (-3)/(-12) - (-15)/4. Suppose -5*j - c = t + 4, 3*t + 6 = 3*j. What is the remainder when 69 is divided by v(j)?
21
Suppose -135 = -4*x - m, 2*x + 2*m - 25 = x. Let n = -58 + 65. Suppose -n = -a + 5. Calculate the remainder when x is divided by a.
11
Suppose -17*c + 12*c = -25. Let p(t) = 7*t - 6. What is the remainder when p(c) is divided by 3/6*22 + -1?
9
Let z(f) = -f**2 + 48*f + 21. Let w be z(36). Let b = -264 + w. What is the remainder when b is divided by 14?
7
Let x be (-1)/(-4) - (-26)/(-8). What is the remainder when ((-27)/(-15))/3*34340/1212 is divided by (x*1)/(2/(-10))?
2
Let p(k) = 2*k**2 + 60*k - 180. Calculate the remainder when 476 is divided by p(-34).
16
Let k = -3505 - -3602. What is the remainder when k is divided by 27?
16
Let m = 5844 + -5766. What is the remainder when 594 is divided by m?
48
Suppose 108*s = 65*s + 84409. What is the remainder when s is divided by 19?
6
Suppose 3*w + 7 = -4*v, -3*v - 19 = -5*w - 2*v. Suppose 3*u + 15*u = 108. Calculate the remainder when 690/25 - -3*u/45 is divided by w.
1
Let f be (-93)/6 + (-4)/(-8). Calculate the remainder when ((-57)/(-9))/(14/f + 1) is divided by 14.
11
Let r(j) = 179*j**3 + 4*j**2 - 4*j - 1. Let u be r(1). Suppose 3*s + 0*s = -12, s + u = y. What is the remainder when y is divided by 25?
24
Suppose 90 + 32 = 2*i + 4*u, 3*i - 174 = -3*u. Suppose -3*y + 8*f - 3*f = -203, -4*f = 4. Calculate the remainder when y is divided by i.
11
Suppose -4*r - 3 = -3*b - 7, 32 = 3*r + 5*b. Suppose -r = -5*t + 11, 4*j - 204 = -4*t. Calculate the remainder when j is divided by (16/7)/(-4) - (-3534)/133.
22
Let r(j) = -2*j**2 + 2. Let t be r(-1). Suppose 0 = -2*b - 4*x + 86, 5*b + 4*x - 185 = -t*b. What is the remainder when b is divided by 6 + (-2)/(-1 + 2)?
1
Suppose 9*w - 28 = 2*w. Let a be 2/((-8)/w) - 0. Calculate the remainder when 88 is divided by 18 - (6/6 + (-2)/a).
13
Let s(v) be the second derivative of -29*v**3/6 - 11*v**2/2 - 73*v. Calculate the remainder when 93 is divided by s(-2).
46
Let k(r) = r**3 + 26*r**2 + 26*r + 26. Let z be k(-25). Let u be (z - 1)/2*(-16)/32. What is the remainder when 60 is divided by (-1)/1 - (u + -15 - 2)?
12
Let g = 251 + -249. Suppose -q + 5 = 0, g*q - 1475 = -5*v + 230. Calculate the remainder when v is divided by 68.
67
Let a = -3517 + 6589. Calculate the remainder when a is divided by 17.
12
Suppose -43*v + 45*v - 2*c - 508 = 0, 1324 = 5*v + 4*c. Calculate the remainder when v is divided by 55.
40
Suppose f = q + 11, -3*q - 6*f - 57 = -3*f. Calculate the remainder when 51 is divided by (-12)/(-7 - 95/q).
15
Let c(v) = 2*v**3 - 75*v**2 - 77*v - 551. Calculate the remainder when c(39) is divided by 205.
189
Let y = -382 - -382. Suppose y = -41*h + 82 + 41. Calculate the remainder when h is divided by 3.
0
Suppose -104664 = 246*d - 540*d. Calculate the remainder when d is divided by 280.
76
Let r(v) = 24*v - 37. Let h be -4*2/(-76) + (-452)/(-38). What is the remainder when r(h) is divided by 36?
35
Calculate the remainder when 175 is divided by 228*(-13)/(25 - 77).
4
Let i(l) = -2*l + 197. What is the remainder when i(36) is divided by 29?
9
Let g be 5*(4 + 0 + 1). Suppose -g = -f - 22. Suppose -18 = -2*l - f*h, -h + 27 = -l + 4*l. What is the remainder when 26 is divided by l?
8
Let d = -5884 - -6140. What is the remainder when d is divided by 54?
40
Let q = -6 - -55. Suppose -4*j = j - 4*k - 121, -4*j - 4*k + 68 = 0. Let y = q - j. Calculate the remainder when 110 is divided by y.
26
What is the remainder when 10/(-4)*-192 - -17 is divided by 69?
14
Suppose -9*t - 68 = 8*t. Calculate the remainder when 290 is divided by (-3)/t - (-4893)/84.
54
Let h(n) = -14*n - 48. Let q = -486 - -478. What is the remainder when 105 is divided by h(q)?
41
Let y(v) = v**3 - 3*v + 7. Let q be y(5). Suppose d + 33 + 21 = 5*m, -m = -2*d - q. Let k = -16 - d. Calculate the remainder when k is divided by 18.
7
Let t(f) = 2*f + 94. Let z(n) = n + 46. Let u(q) = 3*t(q) - 5*z(q). Let d = 3 + 11. Calculate the remainder when u(0) is divided by d.
10
Suppose 0 = -8*m + 12*m + 1760. Let x = m + 547. Calculate the remainder when x is divided by 10.
7
Let y = -3724 - -4006. What is the remainder when 1361 is divided by y?
233
Let i(u) = 4*u**2 + 29*u + 55. Calculate the remainder when 187 is divided by i(-5).
7
Suppose 0*k - 96*k + 19*k = -693. Let n be -10*(-2 - -1) - 2. Calculate the remainder when (39/(-12))/((-1)/n) is divided by k.
8
Calculate the remainder when 1/4 + 3*(-2049)/(-36) is divided by ((-2666)/(-155))/((-3)/(15/(-2))).
42
Suppose x + 3*x = 288. Let u(j) = 2*j**3 - 8*j**2 - 2*j + 1. Let v be u(6). Suppose v = 