.
11
Suppose -5*l = 9*j - 33886, -3*l - 2*j + 564 = -19788. Calculate the remainder when l is divided by 36.
20
Suppose 4*m - 1364 = -2*x, -104*m = -12*x - 102*m + 7976. What is the remainder when x is divided by 45?
36
Let q be 32/(-12) + (-70)/(-15) + -5. Calculate the remainder when q - (-64 - (-1 + -6)) is divided by 12.
6
Let w(j) = 137*j**2 - 1. Calculate the remainder when w(1) is divided by 1 + -2 - -51 - -7*(-63)/147.
42
Suppose -5*g + 33 + 67 = 0. Suppose -3*i + 3*c - 30 = 0, 4*i = 3*c - 16 - 20. Calculate the remainder when g is divided by i/(-33) + (-430)/(-55).
4
Let v = -47 - -35. Let h(t) = -2*t + 13. Let u be h(v). Let r = u - 30. Calculate the remainder when r is divided by 3.
1
Let n(i) = 4*i**2 - 6*i + 8. Let z(t) = t**2 - 10*t - 4. Let g be z(10). What is the remainder when 100 is divided by n(g)?
4
Let p = 394 - 167. Let l = 56 - 47. Suppose -4*y + l*y = 285. Calculate the remainder when p is divided by y.
56
Let z(w) be the first derivative of w**4/4 - 2*w**3 + 9*w**2/2 - 15*w + 2. What is the remainder when 12 is divided by z(5)?
2
Suppose -2*a = 5*i - 32, 2*a + i - 11 = 5. Suppose -5*k + 7*p + 96 = a*p, -41 = -2*k + 3*p. What is the remainder when 92 is divided by k?
16
Let h(j) = 3*j**3 + 14*j**2 + j - 16. Let y(g) = -34*g - 1. What is the remainder when y(-3) is divided by h(-4)?
5
Let b(l) = l + 12. Let a(m) = 4*m + 36. Let v(t) = -5*a(t) + 16*b(t). Suppose 2*s = 6*s. What is the remainder when 56 is divided by v(s)?
8
Suppose m + 2654*r - 29 = 2655*r, -m - 2*r = -29. Calculate the remainder when 3646 is divided by m.
21
Calculate the remainder when 920 is divided by (10 + -3 - -4) + (4 - 4)/4.
7
Let j(n) = 3*n**3 - 23*n**2 + 3*n + 17. Calculate the remainder when 241 is divided by j(8).
31
Let a = 46 - -6. Let q = 154 - 130. Suppose 2*w - 68 = -3*f, 100 = 5*w - 4*f - q. What is the remainder when a is divided by w?
24
Suppose 22*y - 6860 = -6376. Calculate the remainder when 612 is divided by y.
18
Let u be 1*(-3 - (-5)/((-15)/(-81))). Suppose u = -11*v + 15*v. Suppose v*a - 114 = -0*a. What is the remainder when 94 is divided by a?
18
Suppose 0 = -24*x - 2194 - 902. Let y = x - -145. Calculate the remainder when 58 is divided by y.
10
Let i(z) = z**2 + 5*z. Let a be i(5). Suppose -4*o = o - a. What is the remainder when 241 is divided by (-54)/(3/((-15)/o))?
25
Suppose -37*v + 355 + 1634 = 435. Suppose -5*r + y = -14 - 26, 16 = 2*r + 2*y. What is the remainder when v is divided by r?
2
Suppose -22*i = -11*i. Let r = 48 + -41. Calculate the remainder when (-1 + i - -2)*40 is divided by r.
5
Suppose -2*y = -41 + 11. Let k = y - 10. Suppose 1538*o - 1539*o + 3*n - 4 = 0, -o - 4*n = -31. What is the remainder when o is divided by k?
1
Suppose -140*v + 131*v - 4716 = 0. Calculate the remainder when 37 is divided by 24/84 + v/(-28).
18
Let a = -403 + 269. Let k = a - -129. What is the remainder when (-64)/(-1) - (-2 - (k - -7)) is divided by 23?
22
Suppose 0 = -1353*i + 8275 + 2242 - 1046. Calculate the remainder when 15/2*(-1 - -3) is divided by i.
1
Let h be 3 - (-8 - (8 - 243)). What is the remainder when 3/((-42)/(-35)*(-1)/h) is divided by 94?
90
Suppose -31 = -5*t + 164. Let j = 5257 + -5024. What is the remainder when j is divided by t?
38
Let m(q) = -714*q**2 - 16*q + 71 + 713*q**2 - 2*q. What is the remainder when 223 is divided by m(-21)?
7
Let k = -531 + 161. Let c = -243 - k. Suppose -3*h - 19 + 106 = 3*u, 0 = 4*u + h - 107. What is the remainder when c is divided by u?
23
Let w(q) = q**2 - q - 76. Let a be w(9). Let p(c) = -59*c - 195. Calculate the remainder when 126 is divided by p(a).
3
Suppose 2*g = -b + 6*b - 147, 0 = 3*b + 3*g - 84. Suppose -2*z + 19 = -b. What is the remainder when (6 + 34 - -25) + 0 + 2 is divided by z?
19
Suppose -10*k + 1584 = -k. Suppose -2221 - k = -51*f. What is the remainder when f is divided by 5?
2
Let a(m) = -5*m. Let w(i) = -4*i**3 + 1. Let k be w(1). Let l be a(k). Let q = -12 + l. What is the remainder when 10 is divided by q?
1
Let k(n) = -n**2 - 19*n - 29. Let z be k(-17). What is the remainder when 201 is divided by (z + 3)*6 - 1*-3?
48
Suppose 3*b + 3*l - 280 + 238 = 0, 0 = -3*b + 5*l - 6. Suppose -2*h + 368 = 2*h. What is the remainder when h is divided by b?
4
Let d(p) = -81*p**3 + 5*p**2 + 6*p - 1. Let b(x) = 161*x**3 - 9*x**2 - 11*x + 3. Let s(a) = 2*b(a) + 5*d(a). Calculate the remainder when s(-1) is divided by 4.
3
Let k(o) = -72*o + 28. Let s be k(-4). Let p = s + -232. Calculate the remainder when 335 is divided by p.
83
Suppose -179 = -5*y - 2*g, -2*y = y - 5*g - 126. Suppose 0 = 40*x - 39*x - y. What is the remainder when x is divided by 27?
10
Suppose 34*c - 12*c = -12*c + 1666. What is the remainder when c is divided by 33?
16
Suppose 0 = -5*a + 2957 - 2922. Suppose w = -0*w. Suppose 9*z + m = 4*z + 91, -z - 4*m + 3 = w. What is the remainder when z is divided by a?
5
Let l = 49 - -125. Suppose a - g - 57 = 0, l = 3*a - 4*g + 2*g. Let s(d) = 17*d**2 - 1399*d + 5560. What is the remainder when s(4) is divided by a?
56
Suppose 52*t + 7842 = 28268 + 9162. What is the remainder when t is divided by 84?
65
Suppose -2*x + 0*x + 40 = 0. Suppose -3*c = 2*k - 287, 4*c + 3*k - 175 - 207 = 0. Calculate the remainder when c is divided by x.
17
Let f = 16961 + -16696. What is the remainder when 752 is divided by f?
222
Let w(j) = 12*j + 70. Let t(g) = -11*g - 69. Let a(q) = 3*t(q) + 4*w(q). What is the remainder when 466 is divided by a(-4)?
11
Let q = 31195 - 30876. Calculate the remainder when 50399 is divided by q.
316
Suppose 4008 = 3*w - 408. Suppose 3*o - w = -5*o. Calculate the remainder when o is divided by 31.
29
Let j be ((-1205)/(-10))/((-3)/6). Let s = j + 410. What is the remainder when s is divided by 43?
40
Suppose -62*p = -65*p + 4*x + 1091, -3*x = 2*p - 750. What is the remainder when 797 is divided by p?
59
Suppose 83 = 2*p - s, 5*p - 813*s - 212 = -812*s. What is the remainder when 3608 is divided by p?
39
Let l(m) = 1592*m - 12699. Let v(c) = -c**2 - 10*c + 9. Calculate the remainder when l(8) is divided by v(-9).
1
Suppose 0 = -b - 3*o + 9, b - 46*o + 1 = -44*o. Suppose -3*s - 3*k = -24, b*s - k - 18 = -6*k. Calculate the remainder when 680 is divided by s.
9
Let q be 1/10*-6*-5. Let p(c) = 9*c**2 - 5*c - 9. Calculate the remainder when p(-3) is divided by q - (-13 + 2 + 1).
9
Let q(b) = -b + 111. Suppose -2*p - 134 = u + 4*u, 2 = -p. Calculate the remainder when q(u) is divided by 49.
39
Suppose 0 = 3*s + 4*f - 1279, s + 5*f = -8 + 438. Let y = s + -421. Calculate the remainder when 48 is divided by y.
0
Let l(d) = 3310*d - 5806. What is the remainder when l(2) is divided by 55?
44
Let n = 57 + -21. Suppose -2*d + 106 + 53 = -3*j, 0 = -d + 2*j + 80. Suppose 9*i - 690 = -d. What is the remainder when i is divided by n?
32
Let c(z) = -405*z - 15378. Calculate the remainder when c(-38) is divided by (2/(-4) + 1)*10.
2
Let r(i) = -i**2 + 120*i - 452. Calculate the remainder when 1076 is divided by r(4).
8
Suppose -35*o = -3627 - 713. Suppose 25 = 4*k - 3. Calculate the remainder when o is divided by k.
5
Let y = -700 + 768. What is the remainder when 6595 is divided by y?
67
Suppose -j + 301 = 6*j. Suppose j*t - 54*t + 3674 = 0. What is the remainder when t is divided by 42?
40
Let o(s) = s**3 + 6*s**2 - 5*s - 18. Let c be o(-8). Let d = 123 + c. Calculate the remainder when 83 is divided by d.
15
Let w be ((-4)/(-10))/((-5)/150). Let v = 15 - 33. Calculate the remainder when 45 is divided by 2/w + ((-273)/v - -1).
13
Let b(v) = v**3 + 10*v**2 - 3*v - 26. Let m be b(-10). Suppose 4*n = -m, 3*c - 22 - 69 = -2*n. Calculate the remainder when 4/(-6) - (-1113)/9 is divided by c.
30
Suppose -4*h = 5*q - 3241, -5*h + q - 323 + 4338 = 0. Calculate the remainder when h is divided by 161.
160
Let b = -604 + 499. Let c = b - -573. What is the remainder when c is divided by 67?
66
Suppose -2*b = 2*b + 48. Calculate the remainder when 103 is divided by 4/(b/(-81))*1.
22
Suppose 13*j = 5*h + 17*j - 6364, -5*h = -2*j - 6388. What is the remainder when h is divided by 250?
26
Let m be 230/20 - (-3)/(-2). Let o = m - -8. Let d(t) = -4*t**2 + 192*t + 53. What is the remainder when d(48) is divided by o?
17
Suppose 8 - 5 = -m + 4*s, m = -4*s + 13. Suppose 0 = 9*c