 when (41 - 36) + ((-3097)/(-1) - 3) is divided by 7.
5
What is the remainder when 2376 is divided by 2/(-28)*1 + 221796/16968?
10
Let h = -362 - -809. What is the remainder when h is divided by 111?
3
Suppose -2506*a - 3136 = -2536*a - 136. What is the remainder when 236 is divided by a?
36
Suppose -y + 79 = -3*j, 86*y - 4*j + 338 = 91*y. What is the remainder when 402 is divided by y?
52
Let j = -15420 + 15453. Calculate the remainder when 293 is divided by j.
29
Suppose -27*l + 38 = -1177. What is the remainder when 242 is divided by l?
17
Let s = -163677 - -163723. Suppose 5*k - 48 = -2*o, 2*o - 120 = -3*o - 2*k. What is the remainder when s is divided by o?
22
Let o(h) = h**2 - 10*h + 65. Let q be o(7). Suppose 4*f + 2*b + 32 = 90, -2*f + 2*b = -q. Calculate the remainder when 135 is divided by f.
16
Suppose 195*p + 56*p = 40*p + 42622. Calculate the remainder when 1306 is divided by p.
94
Let o = -564 - -2300. Suppose -6*w - 22*w + o = 0. What is the remainder when w is divided by (-44)/((-2 - -1) + -1)?
18
Suppose -4*n + 83 = -5*b, 2*n - 63 = -n + 3*b. Suppose -20*z - n = -22*z. Suppose -z*q + 14*q = 117. Calculate the remainder when q is divided by 10.
9
Let y be (-2 - (-8)/(-4)) + 10. Suppose y*a + 10*a = 1232. What is the remainder when a is divided by 27?
23
Calculate the remainder when 75 is divided by (-14)/21*2*(-54)/24 + 5.
3
Suppose 77*s = 12118 + 19914. Calculate the remainder when 860 is divided by s.
28
Let k = -84 - -102. Let o(h) = -4*h - 1. Let l(f) = -f + 1. Let g(j) = 5*l(j) - o(j). What is the remainder when k is divided by g(-5)?
7
Let s(k) = 15*k + 219. Calculate the remainder when (-134)/(-4) + 9/18 is divided by s(-14).
7
What is the remainder when 275 is divided by (-2032)/(-14) + 200/(-175)?
131
Suppose -170 = h + 4*b + 113, -566 = 2*h - 3*b. Let z = h + 294. What is the remainder when 119 is divided by z?
9
Let g = 16 + -13. Suppose 2*q + 2*t - 28 = t, 3*q = 2*t + 42. Calculate the remainder when (5/g)/((-2)/6) + 58 is divided by q.
11
Let l(i) = i**3 - 3*i**2 - 6*i + 10. Let u be l(4). Suppose 3*z + 2*c = 21, c + 7 = z + z. Suppose z - 27 = -u*j. What is the remainder when 42 is divided by j?
9
Let v = -244 + 292. Suppose -9*s = -11*s + v. Calculate the remainder when 262 is divided by s.
22
Suppose -9*z - 56 = -16*z. Let r(j) = -j**3 + 5*j**2 + 6*j - 4. Let g be r(4). Let y = z + g. Calculate the remainder when 87 is divided by y.
43
Suppose q + 51 = 4*q. Suppose b = 2*l + 78, 3*b + 3*l + 312 = 7*b. Let z = 161 - b. Calculate the remainder when z is divided by q.
15
Let k(o) = 2*o**2 - 19*o - 107. Calculate the remainder when 52 is divided by k(14).
14
Let p = 133 + -133. Suppose -9*l - 8*l = p. Suppose 5*f = u - l*u - 38, -2*u - 2*f = -40. Calculate the remainder when u is divided by 4.
3
Let d(u) = -u**2 + 14*u - 5. Let v = -358 + 376. Suppose 14*c - v*c + 60 = 0. What is the remainder when d(6) is divided by c?
13
Let n(h) = 66*h + 2553. Calculate the remainder when n(8) is divided by 256.
9
Calculate the remainder when 2/(-5)*(-13800)/60 is divided by (-1 - (3 + -7)) + 44.
45
Calculate the remainder when (-528)/(-594) - 68745/(-27) is divided by 116.
111
Suppose -88*p - 78 = -91*p. Suppose 0 = -2*y + 4*y + 3*d + 1, y = -2*d - 2. What is the remainder when p is divided by y?
2
Suppose -7*q + 14592 = 75*q + 32*q. Calculate the remainder when q is divided by 30.
8
Let r(y) = -y**2 + 2*y + 151. Let k be (-4)/(-18) + (-390)/54 + -3. Calculate the remainder when 100 is divided by r(k).
7
Let c(j) = -6*j - 1. Let n be c(-2). Let x = n + -3. Calculate the remainder when -17 + (-35)/((-385)/484) is divided by x.
3
Let i = -62 + 41. Let x = 65 + i. Calculate the remainder when x is divided by 15.
14
What is the remainder when 1176 is divided by ((-8)/6)/(468/(-59319))?
162
Let s(m) = -m**2 - 2*m + 42. Let c be s(-7). Suppose -4*t + q = -44, -c*t = -5*t + q - 22. Calculate the remainder when 74 is divided by t.
8
Let b(p) = p**3 - 35*p**2 + 96*p + 121. Calculate the remainder when b(32) is divided by 43.
35
Let u = 68 - 70. Let h(n) = -54*n - 5. What is the remainder when h(u) is divided by 27?
22
Let j = -155 - -157. Suppose 0 = -4*x + 5*n + 52, 0*x = -j*x - 2*n + 26. What is the remainder when 51 is divided by x?
12
Calculate the remainder when (-90607)/(-165)*5 + (-40)/(-30) is divided by 125.
122
Let x(o) = 8*o**3 - 224*o**2 + 8*o - 80. What is the remainder when x(28) is divided by 31?
20
Let k = -30756 + 30758. Calculate the remainder when 1453 is divided by k.
1
Suppose 13*l + 32 - 425 = -o, 4*l = -5*o + 74. Let j(p) = -p**2 + 5*p + 5. Calculate the remainder when l is divided by j(4).
4
Suppose 1458 = 43*k - 391. Calculate the remainder when 491 is divided by k.
18
Let h = -316 + 319. Suppose -3*b = -f + 21, -f + 3*b = h*f - 57. Suppose p = -c + 23, 5*c - p + 0*p - 115 = 0. What is the remainder when c is divided by f?
11
Let a be (-15 - -10) + (-14)/1. Let m = 51 + a. What is the remainder when 83 is divided by m?
19
Let d = 8 - 5. Suppose -62 = -d*v - 5*y, v = 5*y + 2 + 12. What is the remainder when v is divided by 5?
4
Let l(u) = 61*u**3 - u**2 - 5*u + 22. Calculate the remainder when l(3) is divided by 55.
50
Let i(n) = n**2 + 5*n - 403. What is the remainder when (73/2)/(2/4) is divided by i(18)?
7
Suppose 4*u - 19 = -a + 19, -4*a + 3*u + 95 = 0. What is the remainder when 94 is divided by a/(-156) + (-2 - (-597)/18)?
1
Let i = 15915 + -14186. Calculate the remainder when i is divided by 34.
29
Suppose -4*l + 6 = 70. Let i(o) = -7*o - 100. What is the remainder when 57 is divided by i(l)?
9
Suppose 836*b - 512 = 828*b. Suppose 374 = -4*l + 6*l. What is the remainder when l is divided by b?
59
Let l(y) = 17*y - 117. Let f(h) = h**3 + 2*h**2 + 8. Let c be f(0). What is the remainder when 57 is divided by l(c)?
0
Calculate the remainder when (1 + (-3019)/(-4))*(173 - 169) is divided by 63.
62
Suppose -92 = -3*o - d, -5*o - 797 = 2*d - 950. Suppose -6*v + v = -65. Calculate the remainder when o is divided by v.
5
Let z(q) = -5*q**2 + 11*q + 16. Let r(j) = 4*j**2 - 11*j - 14. Let x(p) = -6*r(p) - 5*z(p). Calculate the remainder when x(-15) is divided by 5.
4
Let j(d) = d**2 - 10*d + 7. Let i(f) = -5*f - 31. Let o be i(-7). Let k(w) = 3*w**2 + 8*w - 13. Calculate the remainder when k(o) is divided by j(11).
13
Suppose 5*v + 36251 = 75247 + 76164. Calculate the remainder when v is divided by 11.
9
What is the remainder when ((-4071)/(-4))/((-243)/(-648)) is divided by 181?
180
Let i(d) be the third derivative of d**5/30 + d**4/24 + 19*d**3/3 - 94*d**2. What is the remainder when i(0) is divided by 8?
6
Suppose 115*n + j = 116*n - 1022, 5*j - 45 = 0. What is the remainder when n is divided by 339?
14
Let h(f) = f**2 - 64*f + 755. Calculate the remainder when h(64) is divided by 21.
20
Suppose 8*l - 86 = -g, 0 = 12*g - 7*g + 4*l - 322. What is the remainder when 285 is divided by g?
37
Let j be -5 - 726/(-4) - 2/4. Let w be j/(-6)*(-180)/(-48). Let p = -21 - w. Calculate the remainder when p is divided by 46.
43
Let m(f) = -3*f - 22. Suppose -1215 = -251*k + 170*k. What is the remainder when k is divided by m(-10)?
7
Let r = 19 - 1. Calculate the remainder when ((-130)/(-15))/(3/r) + -4 is divided by 39.
9
Let w(p) = -p**3 + 10*p**2 + 9*p - 3. Let s = -920 + 967. Calculate the remainder when w(-4) is divided by s.
44
Suppose -v - v - 80 = 0. Let d = -18 - -75. Let o = v + d. What is the remainder when 83 is divided by o?
15
Suppose -25*j = 187*j - 21*j - 2674. Let w(q) = 11*q**2 + 2*q - 2. What is the remainder when w(2) is divided by j?
4
Let v(a) = -15*a - 1. Suppose 108*y + 23*y - 16320 = -39*y. What is the remainder when y is divided by v(-1)?
12
Let u = -483 - -704. Calculate the remainder when u is divided by 9.
5
Let f(u) = -4*u + 12. Let m be ((-5)/2)/((-1)/(-2)). Let d(b) = b**2 + 10*b + 18. What is the remainder when f(m) is divided by d(-10)?
14
Let p(n) = 2*n**3 + 19*n**2 - 2*n + 10. Let q be p(-9). Suppose -3*b = b - 944. Let h = b - q. Calculate the remainder when h is divided by 43.
41
Let t(p) = 2*p**2 - 136*p + 2231. Calculate the remainder when 555 is divided by t(42).
38
Let m(p) = p**3 + 14*p**2 + 10*p + 21. Let r(d) = -d**3 - 7*d**2 + 11*d + 11. Let u be r(-8). Calculate the remainder w