4). Suppose 3*j = p*x - 7 - 5, 3*x + 3*j - 3 = 0. Calculate the remainder when 17 is divided by x.
2
Let h be 2 - ((-14)/(-12) - 1/6). Let u be (-3 + h)*(-6)/(-3). Let k(l) = 9*l**2 + 12*l + 10. Calculate the remainder when k(u) is divided by 36.
34
Calculate the remainder when ((-8)/72)/(28/(-36)) + 20352/28 is divided by 17.
13
Let p = -10 - -15. Suppose -p*l = -66 - 9. Suppose -3*o + 247 = 4*m, -4*o = m - 0*m - 78. What is the remainder when m is divided by l?
13
Let l be (-2)/(-36)*1527*6. Let o = -216 + l. Suppose -5*f = -o - 212. Calculate the remainder when f is divided by 17.
16
Suppose -16*c + 11*c + 1047 = -3*k, 0 = 4*c - 4*k - 836. Calculate the remainder when c is divided by 28.
14
Let j be (1 + 1)*(-15)/10. What is the remainder when 49 is divided by 19 - (j - 12/3)?
23
Let r be 0/6 - ((121 - 2) + 3). Let i = r + 167. What is the remainder when i is divided by 7?
3
Let u(o) = 347*o - 3982. Calculate the remainder when 2543 is divided by u(12).
177
Let v(m) = -3*m**2 + 25*m + 336. Calculate the remainder when 1047 is divided by v(-7).
11
Suppose 10 + 56 = 13*a - 883. Let q(m) = 51*m**2 + m. Let f be q(-1). Suppose -r = -2*p + f, -r + 0*r + 75 = 3*p. What is the remainder when a is divided by p?
23
Let u = -1418 - -1435. What is the remainder when 201 is divided by u?
14
Suppose 0 = y - 904 - 216. Suppose -2*x + y = 924. Calculate the remainder when x is divided by 55.
43
Let d(w) = -2*w**3 - 44*w**2 + 64*w + 450. Calculate the remainder when 675 is divided by d(-23).
27
Suppose 7520 = 387*m - 3282 + 810 + 1478. Let d(j) = -2*j**3 - 3*j**2 + 2. What is the remainder when d(-4) is divided by m?
16
Let g = 27 - 21. Suppose 3*u - 109 = -z + 219, 0 = 3*z - 3. What is the remainder when u is divided by 4/g - 654/(-18)?
35
Suppose 2*r + 8 = 0, 5*h + 0*h + 5*r - 45 = 0. Suppose u - h = 214. Calculate the remainder when u is divided by 38.
37
Suppose -33*t = -24*t - 45. Suppose -2*h - 144 = -u + 15, 0 = -t*u - h + 850. What is the remainder when u is divided by 19?
17
Let q(i) = -656*i + 7226. Let t be (-1)/(-3) + (-22)/(-6). Suppose 5*g + 3*p - 33 = 0, t*g - 5*g = 2*p - 8. What is the remainder when q(11) is divided by g?
4
Suppose 267*o = 234*o + 396. Calculate the remainder when (0 - -64) + 0/3 is divided by o.
4
Let z(m) = 13*m - 87. What is the remainder when 1184 is divided by z(15)?
104
Suppose -7*k + 2*k = 5*v - 370, 4*k = 5*v + 305. Let w = 131 - k. Calculate the remainder when w is divided by 20.
16
Let f = 2646 - 2290. What is the remainder when f is divided by 74?
60
Suppose 0 = -791*h + 784*h + 168. Let j = -210 - -219. What is the remainder when h is divided by j?
6
Let w be ((-64)/6)/(-2) - (-60)/(-180). Suppose 0 = -w*q - 16 - 254. Let a = q - -81. What is the remainder when a is divided by 7?
6
Let j = -358 - -755. Let q = -130 + 197. Calculate the remainder when j is divided by q.
62
Let q(i) = 2*i**2 - 2*i - 3. Let x be q(3). Suppose -x*b + 2013 = 267. Calculate the remainder when b is divided by 39.
38
Suppose 0 = 69*k - 314*k + 5880. Calculate the remainder when 444 is divided by k.
12
Let g(b) = 1115*b - 2897. What is the remainder when g(3) is divided by 32?
0
Let q(v) = 5*v**3 - 7*v + 19. Let g be q(3). Let t = g + -117. What is the remainder when 78 is divided by t?
14
Let k(n) = -144*n**3 - n**2. Let m be k(-1). Calculate the remainder when 87 is divided by (m/78)/(3/18).
10
Suppose 10832 = 15*h + 19*h + 3148. What is the remainder when h is divided by 26?
18
Suppose 0*v - 6 = -4*v - r, 0 = -2*v - r + 4. Let w be (0 + -2 + v)/((-3)/198). Let i = w + 2. Calculate the remainder when i is divided by 24.
20
Let w be -1*(6/(-3) + 3)*57. Let b = 110 + w. What is the remainder when 1/(-4 - (-213)/b) is divided by 18?
17
Let p(v) = -22*v - 59. Let t(a) = 18*a + 59. Let o(c) = 4*p(c) + 5*t(c). What is the remainder when 115 is divided by o(0)?
56
Let g(u) = u**3 - 4*u**2 - 9*u + 8. Let m = 436 - 308. What is the remainder when m is divided by g(6)?
24
Calculate the remainder when (821223/78)/(42/(-8) + 6) is divided by 90.
88
Calculate the remainder when 156 is divided by 12/(-2) - 102/((-5)/(40/6)).
26
Suppose -17554 = d - 17558. Calculate the remainder when 1119 is divided by d.
3
Let v(f) = -f**3 - 53*f**2 + 68*f + 587. Calculate the remainder when v(-55) is divided by 100.
97
Let n(j) = j**2 + 11*j. Let k be n(-10). Let f = 45 + k. Suppose a + 4*z = 16, -5*a + 45 + f = z. What is the remainder when 77 is divided by a?
13
Suppose 0 = -r + 3*g + 60, -21 = 2*r - 5*g - 144. Calculate the remainder when r is divided by 9.
6
Let c = 1122 + -1119. Let n(m) be the first derivative of m**3/3 + 1. Calculate the remainder when n(3) is divided by c.
0
Let r = 3130 - 3096. What is the remainder when r is divided by 4 + (1 - -2) + 0?
6
Suppose -4*k = 3*t - 4785, 2*k - 865 - 1496 = 3*t. What is the remainder when k is divided by 119?
1
Suppose 2*s = 15 + 5. Let n be (-1 - -3)/((-4)/(-12)). Suppose s = n*t - t. What is the remainder when t is divided by 2?
0
Suppose 1111 = -11*s + 32*s - 10*s. What is the remainder when 433 is divided by s?
29
Suppose -4*a = -20 - 0. Let o(d) = d**3 - 4*d**2 - 3*d - 4. Let p be o(a). Suppose 2*b = 0, b - 70 = x - p*x. What is the remainder when 69 is divided by x?
13
Suppose -j = -13 + 10, y + 4*j - 23 = 0. Suppose 0 = -3*o - 5 + y, 2*w + 3*o - 18 = 0. What is the remainder when 18 is divided by w?
0
Suppose 1015 - 14612 = 3*x - 4*h, -5*h + 20 = 0. Let q = x + 1811. Calculate the remainder when q/(-12) - (-2 - (-8)/6) is divided by 46.
43
Let d = -22 - -65. Let u = -5742 - -5825. What is the remainder when u is divided by d?
40
Suppose -4*r - 5*w = -12, -24 = 4*r - 3*w - w. Let k be r*(2 - (-651)/(-6)). Suppose 4*s - 63 = k. Calculate the remainder when s is divided by 14.
13
Suppose -2967 = -7*l + 1251 + 836. What is the remainder when l is divided by 143?
7
Let g(z) = -2*z**3 - 3*z**2 + 8*z + 22. Suppose w - 3*t = 64, -7*w = -11*w + 5*t + 270. Calculate the remainder when w is divided by g(-3).
20
Suppose -41*i + 501 = -36*i - 4*j, 5*i - j - 489 = 0. What is the remainder when 586 is divided by i?
4
Suppose 0 = 6*n - 2*o - 1659 + 519, 24 = 4*o. What is the remainder when n is divided by 37?
7
Suppose -2 = -30*z + 29*z. Suppose 0 = 3*s - g - 350, -z*s + 2*g - 236 = -4*s. What is the remainder when s is divided by 63?
54
Let o(l) = -3*l**2 - l + 7. Let n be o(2). Let f(c) = 12*c + 84. Let u be f(n). Suppose u = x - 37 - 63. What is the remainder when x is divided by 35?
30
Let j(b) = -6*b - 37. Let w be j(-7). Let l(t) = 7*t - 3 + 0*t**3 + 4*t**2 + 0*t**3 - t - t**3. Calculate the remainder when 4 is divided by l(w).
0
Suppose -4*p = -89*p + 255. Calculate the remainder when 16 is divided by p.
1
Let k = -20 - -23. Let z(s) = -s**2 - 229 + 116 + 115 + 18*s. Calculate the remainder when k is divided by z(18).
1
Let q(b) = -2*b**3 - 85*b**2 + 43*b + 68. What is the remainder when 183 is divided by q(-43)?
47
Suppose 9*a + 218 = -358. What is the remainder when (-14)/(-2) - 1*a is divided by 39?
32
Let w(l) = 31*l**2 + l - 1. Calculate the remainder when (-4 - (-24)/8) + (1 - -60) is divided by w(1).
29
Let w = -64 + 111. Suppose -41 - 24 = -5*g, 5*s + 185*g = 187*g + 59. What is the remainder when w is divided by s?
13
Let z be (0 - 20/(-35)) + 174/14. Suppose 0 = -4*t - 4*b - 23 - z, 0 = 3*t + b + 25. Calculate the remainder when 70 + (t/(-4))/(-2) is divided by 36.
33
Let z = -7 + 22. Let v(m) = -10*m - 4. Let k = -48 + 42. What is the remainder when v(k) is divided by z?
11
Suppose -3*m - 2*w = -515 + 120, -4*m - 3*w = -525. Let o = 165 - m. Suppose 0*t - 4*t = -220. What is the remainder when t is divided by o?
25
Let c(a) = -5*a**3 - 11*a**2 - 18*a + 3. Let s(m) = -3*m**3 - 6*m**2 - 9*m + 2. Let k(x) = -4*c(x) + 7*s(x). Calculate the remainder when k(4) is divided by 4.
2
Let u(t) = -t**2 + 11*t + 32. Let j be u(13). Suppose 12 = j*i - 168. Let s(d) = -3*d**3 - 3*d**2 - 3*d - 2. What is the remainder when i is divided by s(-2)?
14
Suppose 23*c - 16*c + 358852 = 74*c. Calculate the remainder when c is divided by 27.
10
Let j = -46 + 67. Suppose 3*z - 18 = j. Suppose -2*v + 3*h + 158 = 0, 4*v - 913*h + 915*h = 236. Calculate the remainder when v is divided by z.
12
Let p = -25578 - -25920. What i