ppose -c = 5*v - 19, 2*v - 4*c - 19 = -7. Suppose v*j = 27 + 5. Calculate the remainder when j is divided by ((-8)/(-32))/((-1)/(-12)).
2
Let q = 13638 + -13236. Calculate the remainder when 808 is divided by q.
4
Suppose -5*j = -l - 16 - 180, 0 = 5*j + 2*l - 208. Suppose 3*m = 35 - 14, -5*g + 63 = -m. What is the remainder when j is divided by g?
12
Let s = 383 - 345. Let j = -29 + s. Let y = 48 + -17. What is the remainder when y is divided by j?
4
Let y = -15102 + 15519. Calculate the remainder when 1670 is divided by y.
2
What is the remainder when 122202/511 - 12/18*(-9)/7 is divided by 11?
9
Let s be 68/170 + (-8)/(-5). Suppose -4*d = -23 - 269. What is the remainder when d is divided by ((-228)/(120/10))/(s/(-2))?
16
Let w(v) = -v**2 + 12*v + 294. Calculate the remainder when 1339 is divided by w(20).
133
Suppose -266 + 11 = -15*n. Suppose 4*u = 4*p + 1 - n, 16 = -4*u + p. What is the remainder when (-1)/(4 + -6) + (-266)/u is divided by 24?
19
Let j(t) = t**3 - 41*t**2 + 120*t - 147. Calculate the remainder when 1462 is divided by j(38).
4
Calculate the remainder when 301 is divided by 125/(-75) + 1797/9.
103
Suppose -10*i = 2118 + 6832. Let w = -735 - i. Calculate the remainder when w is divided by 74.
12
Let y(s) = -s**3 - 84*s**2 - 310*s + 834. What is the remainder when 2566 is divided by y(-80)?
16
Let n(i) = -69*i**3 - 2*i + 160 + i**2 + 13*i - 69 - 81. What is the remainder when n(-1) is divided by 19?
12
Calculate the remainder when 898 is divided by ((-6)/(-10))/(2/10) - -102 - 5.
98
Let v = -70 + 103. Let x = -23 + v. Suppose 0 = -0*w + w - x. What is the remainder when 28 is divided by w?
8
Let f(j) = -2*j + 9. Let x be f(3). Suppose -x*p = -2*k + 2*p + 144, k - 72 = -p. What is the remainder when k is divided by (-23 + -2)/((-5)/5)?
22
Calculate the remainder when -41 + (-38970)/(-315) + (-4)/(-14) is divided by 2.
1
Let y = 2314 + -2245. Calculate the remainder when y is divided by 42.
27
Suppose 0 = c - 2*c + 29. Suppose -101*n - 3345 = -216*n - 108*n. Calculate the remainder when c is divided by n.
14
Let f(g) = -677*g - 744. Suppose 2*b = 5*j - b - 161, -4*b + 12 = 0. What is the remainder when f(-2) is divided by j?
32
Suppose 3*f - 10459 = 9*h - 87769, -17180 = -2*h - 2*f. Calculate the remainder when h is divided by 13.
10
Let s(t) = 2*t**3 + 42*t**2 + 3*t + 143. Calculate the remainder when s(-21) is divided by 25.
5
Suppose 0 = -41*u + 80*u - 212082. Calculate the remainder when u is divided by 8.
6
Calculate the remainder when (-328 + 374)/(4/98) is divided by 54.
47
Suppose 32*i - 5*n - 3490 = 27*i, -4*i + 2808 = 4*n. What is the remainder when 3503 is divided by i?
3
Let v(n) = n**2 - 4*n + 4. Suppose 5*j + 3*w - 368 = 0, 2*j + 5*w - 18 - 114 = 0. What is the remainder when j is divided by v(6)?
12
Let j be (4/(-12))/((-4)/240). Let r(u) = j + 12*u**2 + 5*u**2 - u**3 - 17*u - 2 + 12. What is the remainder when 67 is divided by r(16)?
11
Calculate the remainder when 292 is divided by ((-256)/(-216))/(-16) - (-760)/54.
12
Let p(o) = -9*o**2 + 3*o + 9. Let v be p(-3). Let s = 143 + v. What is the remainder when s is divided by 38?
24
Suppose -108*i + 150 = -45*i - 13206. What is the remainder when 635 is divided by i?
211
Suppose 3*t - 12 + 0 = 0. Suppose -t*a - 3*y = -121, -4*a + 0*y + 4*y + 156 = 0. Let u(i) = -66*i - 1. What is the remainder when u(-1) is divided by a?
31
Let z be 5/(-5) - 3564/6. Let y = 638 + z. What is the remainder when 556 is divided by y?
40
Calculate the remainder when 178/(-2136) + 4897/12 is divided by 77.
23
Let o(q) = -q**3 + 11*q**2 - 32*q + 92. Calculate the remainder when o(5) is divided by 8.
2
Let d(l) = -3*l**2 - 65*l - 161. What is the remainder when d(-3) is divided by (9/4)/(6/16)?
1
Suppose -2*u = -30 - 34. Let v = 198253 - 198095. Calculate the remainder when v is divided by u.
30
Suppose t - 162 = -4*j, 0 = 3*t - 7*t + 2*j + 720. Suppose 2*o = 7*z - 2*z + 69, -4*o + 2*z = -t. Calculate the remainder when 467 is divided by o.
44
Let t = 191 + -30. Calculate the remainder when t is divided by 47.
20
Suppose 2*u + 7 = 27. Let c be (-538)/u + 1/(-5). Let g = c + 59. Calculate the remainder when 23 is divided by g.
3
Let c be 6102/42 - (-4)/(-14). Suppose 2*u - 75 - c = 0. Suppose 4*w - 82 - 70 = 0. Calculate the remainder when u is divided by w.
34
Let s = 54 + -23. Suppose s = -8*k - 1. What is the remainder when 0 + k - 48/(-1) is divided by 13?
5
What is the remainder when (805/92 - 9)/((-2)/7928) is divided by 36?
19
Let z = 8 + 8. Suppose -z = -27*a + 26*a. What is the remainder when 124 is divided by a?
12
Let k(c) = 597*c - 5910. What is the remainder when k(14) is divided by 163?
3
Calculate the remainder when 86/((-6)/(-14) - 3440/8288) is divided by 289.
6
Let j(m) = -2*m + 447. Calculate the remainder when j(71) is divided by 64.
49
Let g(w) = 50*w + 980. What is the remainder when 928 is divided by g(-15)?
8
Suppose 0*q = 4*q - 20. Suppose -393 = -10*y - 13. Suppose 67*u - 69*u + y = 0. What is the remainder when u is divided by q?
4
Let j = -868 + 872. Suppose -i - 767 = 3*c - 8*c, j*c = -2*i + 608. What is the remainder when c is divided by 74?
5
Suppose v - 4*v + 153 = 0. Suppose f - 121 = -2*f - 31. What is the remainder when v is divided by f?
21
Let i(c) = -33*c - 46. Let y be (-52)/12*(20 + -2). Let g = -51 - y. What is the remainder when i(-3) is divided by g?
26
Suppose 4*x + 2*m - 1 = 5*m, -7 = 2*x - 3*m. Suppose -5*i = 3*y - 60 - 204, -x*i - 237 = -3*y. Let v = y + -62. What is the remainder when 62 is divided by v?
20
Suppose 0 = 10*q - 14405 - 14635. Calculate the remainder when q is divided by 30.
24
What is the remainder when 3285 - (-19 + 8 - 3) is divided by 10?
9
Let o = -3370 - -3395. What is the remainder when 972 is divided by o?
22
Let b(w) = -66*w - 564. Let c be b(-9). Let z(u) = 7*u**2 + u. Let f be z(1). Suppose l = -f + c. What is the remainder when 80 is divided by l?
14
Suppose 3*d + 5*x + 16 = 0, -9 = 4*d + x - 16. Suppose -9*m + 116 = 5*f, 0 = -5*f + d*m - 8*m + 120. Calculate the remainder when 73 is divided by f.
23
Let k(g) be the first derivative of -17*g**4/4 - 4*g**2 - 7*g - 68. Calculate the remainder when (0 + 1 + 0)*51 is divided by k(-1).
15
Let s(y) = -y + 1. Let w(f) = -43*f + 36. Let h(l) = 2*s(l) - w(l). Let z = 31 - 14. Calculate the remainder when h(2) is divided by z.
14
Suppose f = -8*f + 252. Let s = f + -10. Suppose -5*h + 164 = 3*u, 2*h - 2 = 3*u + 51. Calculate the remainder when h is divided by s.
13
Calculate the remainder when 5344/24 + 4/3 is divided by 33.
26
Suppose -3*c + 20 + 217 = 0. Let h = c + -26. Calculate the remainder when h is divided by ((-495)/7)/(-5) - (-7)/(-49).
11
Let j(z) be the first derivative of z**3 - 7*z**2 + 2*z - 22. What is the remainder when (15 + -11)*(-12)/(-2) is divided by j(5)?
3
Suppose -8*i + 85 = 293. Let s = i + 64. Suppose -s = -t - 5*m + 16, -3*m + 12 = 0. What is the remainder when 97 is divided by t?
29
Suppose -y - 16 = -9*y. Let q be 2/5 + (-472)/(-20). Suppose -13 = -o + 5*c, -2*o + 5*c + q = 8. Calculate the remainder when o is divided by y.
1
Let u(r) = -12*r**3 - 4*r**2 - 3*r - 4. Let y be u(-3). Suppose 113*q - 107*q - 354 = 0. Suppose 8*h - q = y. Calculate the remainder when 218 is divided by h.
42
Suppose 2*u = 3*u - 8*u. Suppose -3*r - 3*h - 15 = u, 0*h = -5*r - 2*h - 16. Calculate the remainder when (-6)/(r - -4) + 21 is divided by 11.
7
Suppose -46*l - 2*x = -47*l + 16, 0 = 2*x. Calculate the remainder when 8269 is divided by l.
13
Suppose 16 = 2*g, -19*y - 97*g + 4376 = -101*g. Suppose -4*z = x - 191, 2*x - 6*x - 82 = -2*z. Calculate the remainder when y is divided by z.
44
Let r(v) = 30*v**2 - v - 4. Let u be r(-2). Suppose 2*s = -46 + u. Suppose 0 = -4*i + 13*i - s. What is the remainder when 16 is divided by i?
0
Let w = 3917 + -3827. What is the remainder when w is divided by 12?
6
Let q = -10041 - -10211. Let a(w) = w**3 + 6*w**2 - 3*w - 1. Calculate the remainder when q is divided by a(-4).
41
Calculate the remainder when 168 is divided by 121 + 36 + (-1 - -2)/(6/(-42)).
18
Calculate the remainder when 1580 is divided by (7 + (-963)/18)*(-4 - -2).
92
Let o(v) = v**3 + 23*v**2 + 61*v - 1. What is the remainder when 2364 is divided by o(-8)?
9
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