+ 4*m - p - 185 = 0. Suppose -14*s = -3*h - 9*s + m, -5*s = -h + 14. What is the remainder when 116 is divided by h?
38
Let h(y) = -9 + 0 + 0 + 11*y. Let z = -458 - -470. Calculate the remainder when h(z) is divided by 14.
11
Let r(h) = 11*h**2 - 216*h + 1. What is the remainder when r(20) is divided by 9?
0
Let p(b) = -b**3 + 24*b**2 - 105*b - 22. Let s(n) = -n**3 + 6*n**2 + 7*n + 1. Let f be s(7). Calculate the remainder when p(18) is divided by (f - -1)*19/2.
13
Let z(u) = 3*u**3 - u**2 - u + 4. Let s be z(2). Suppose s*y - 12 = 19*y. Calculate the remainder when 8 is divided by y.
0
Suppose 32*a - 20 = 27*a. Suppose -11*l - 108 = -38*l. Calculate the remainder when a is divided by l.
0
Let q(o) = o**3 + 14*o**2 - 20*o - 13. Suppose -14*r + 19*r + 75 = 0. Let d be q(r). Let b = 72 - d. Calculate the remainder when 98 is divided by b.
8
Suppose 0 = g - 5*t - 2310, -3*g = 2*t - 2182 - 4646. Calculate the remainder when g is divided by 127.
121
Suppose -9*k = -11*k + p + 215, 4*k - 433 = -p. What is the remainder when k is divided by 50?
8
Let p = -819 + 1179. Suppose -13*c + p + 121 = 0. Calculate the remainder when 70 is divided by c.
33
Let y(f) = -2. Let m(w) = -4*w - 84. Let l(u) = -m(u) + 4*y(u). Calculate the remainder when 164/9 + 4/(-18) is divided by l(-18).
2
Suppose 14 = 2*n - 3*l, 0 = -3*n - 0*n + 5*l + 20. Suppose -19 = -n*c + 41. Let p(g) = -g + 32. What is the remainder when p(8) is divided by c?
0
Suppose -2*a - 9*x + 14*x + 332 = 0, 2*x = -2*a + 290. Calculate the remainder when 1959 is divided by a.
147
Suppose z + 3*j = 33, 4*z + 3*j - 107 = -20. What is the remainder when 1635 is divided by z?
15
Let n = 76 + -4. Suppose -7 = -y + 3*x, 4*y - x = 5*y - 15. Calculate the remainder when n is divided by y.
7
Let c(v) = -v + 7. Let y(p) = p + 9 - 6 - 16. Let d(t) = 7*c(t) + 4*y(t). Calculate the remainder when 23 is divided by d(-4).
5
Suppose -155*u + 291*u - 29376 = 0. Calculate the remainder when u is divided by 11.
7
Let p = -6390 - -6416. Calculate the remainder when 663 is divided by p.
13
Suppose 4*t - 2*s = 3*s + 89, -s + 104 = 5*t. Let x = -574 - -579. Suppose 68 = x*a + 4*m - 203, a - m = 56. Calculate the remainder when a is divided by t.
13
Suppose -2*j + 2*c = 12 - 102, 2*j - 65 = -3*c. What is the remainder when 54*10/105*21 is divided by j?
28
Let d(p) = 799*p + 5782. What is the remainder when d(-7) is divided by 110?
79
Let v = -23 + 14. Calculate the remainder when 93*(-6)/v - -3 is divided by ((-22)/8)/((-15)/120).
21
Suppose 0 = -130*g + 2359 + 4770 + 801. Calculate the remainder when g is divided by 60.
1
Let r = 14639 + -7760. What is the remainder when r is divided by 80?
79
Suppose 0 = 2*t - 5*j - 878 - 229, 0 = -4*t - 4*j + 2200. Let n = -480 + t. Calculate the remainder when n is divided by 10.
1
Let z = -25 - -33. Suppose z*t - 9*t = -2. Suppose -3*n = 4*r - 95, 5*r - 4*r - 30 = -t*n. What is the remainder when 97 is divided by r?
17
Suppose -30 = 47*f - 88*f + 2020. Suppose 45 = -4*x - 107. Let l = x - -57. What is the remainder when f is divided by l?
12
Suppose -1095 = 2*h + 3*i, 5*h + 3*i - i = -2754. Let f be 10/65 + h/39. Let v(l) = -3*l - 28. Calculate the remainder when 25 is divided by v(f).
11
Let t = -12614 - -12788. Calculate the remainder when 627 is divided by t.
105
Let w = 4 + 0. Suppose -2*s + 52 = 4*o, 5*o - 325 = 3*s - 469. What is the remainder when w/12 - 209/(-3) is divided by s?
32
Let m(l) = l**3 - 12*l**2 - 14*l - 17. Let b be m(13). Calculate the remainder when 15 is divided by ((-33)/55)/(2/b).
6
Suppose 5*g + 101 = t, 0*t + 76 = -4*g - 4*t. Calculate the remainder when (30/g)/(18/(-204)) is divided by 4.
1
Let x = -125654 + 125961. Calculate the remainder when x is divided by 75 - (1 + -3) - 0.
76
Let s(q) be the first derivative of 5*q**3/3 + 3*q**2/2 + 3*q + 41. Let i(v) = v**2 - 2*v - 3. What is the remainder when i(5) is divided by s(-1)?
2
Suppose 4*h - 5*p - 554 = 0, -h + 11*p = 15*p - 128. What is the remainder when 446 is divided by h?
38
Let f(u) = -u**3 - 3*u**2 - u + 5. Let i be f(0). What is the remainder when 89 is divided by (-18)/(-135)*i + 52/3?
17
Let y = -12848 + 12957. What is the remainder when y is divided by 1*3/((-3)/(-46))?
17
Let t = -502 - -498. What is the remainder when 7 is divided by t/(0 - 18/27)?
1
Calculate the remainder when (47 - 62)*((-8)/14 - (-5820)/(-252)) is divided by 26.
17
What is the remainder when (-112)/(-6)*(114/(-18))/((-72)/486) is divided by 17?
16
Let k be 2 - (-2)/4*-6. Let o be (3/9)/(k/(-9)). What is the remainder when 13*(-55)/(-5) + o is divided by 30?
26
Suppose 0 = -3*h + 5*j + 6285, 196*j = -5*h + 192*j + 10401. What is the remainder when h is divided by 95?
90
Suppose 0 = 2*a - 3*y - 78, a + 7*y - 2*y = 26. What is the remainder when (48/(-32))/(3/(-134)) is divided by a?
31
Suppose -22 - 5 = -s. Suppose s*z - 23*z = 20. What is the remainder when (-3 + 6)/(6/76) is divided by z?
3
Suppose 19 = -20*o - 41. What is the remainder when 39 is divided by 9 + o - (-3)/3?
4
Suppose -38*z = 17*z - 10*z - 1305. What is the remainder when 1765 is divided by z?
25
Suppose 0 = -3*u - 3*u + 24. Suppose -f + u*x + 17 = 0, -68 = -4*f + f - 5*x. Calculate the remainder when f is divided by 6.
3
Let t(x) = x**2 + 44*x + 3. Let a be t(-44). Suppose 5*y - 17 = -2*d, -a*d - 2*y + 6*y + 37 = 0. Calculate the remainder when 43 is divided by d.
10
Let f = 5868 - 5804. Suppose 4*z = 4, -2*z = -5*n + 25 - 7. What is the remainder when 31 is divided by f/(-6)*n/16*-6?
15
Suppose 2*r + 20 = 3*i, -2*r + 10 - 2 = 4*i. Suppose 0 = -3*f + 9, -3*n = -f + i*f - 864. Calculate the remainder when n is divided by 36.
33
Suppose -3*i = 3*i + 48. Let m(b) = -23*b - 60. Calculate the remainder when m(i) is divided by 32.
28
Suppose 6*o - 224 = -4*v, -17*v + 149 = -14*v - 5*o. What is the remainder when 113 is divided by v?
7
Let a(v) = 2*v + 0*v**2 - 5*v**2 + v**3 - 356 + 333. What is the remainder when a(7) is divided by 36?
17
Suppose 2*x - 4*g - 2282 = 0, 13*x - 17*x - 3*g + 4553 = 0. What is the remainder when x is divided by 60?
59
Let x(h) = -163*h**3 + 4*h**2 - 3*h - 1. Suppose 5*c - 34 = -29. Let o be x(c). Let w = -129 - o. What is the remainder when 64 is divided by w?
30
Let r = 7882 + -7875. What is the remainder when 112 is divided by r?
0
Let l = -17000 - -17031. What is the remainder when 1019 is divided by l?
27
Let c = 1635 + -1402. Calculate the remainder when c is divided by 70.
23
Let b be (29/(-2))/(1/(-2)). Suppose -83*t + b*t = -1782. Suppose -2*l = -14 - 182. What is the remainder when l is divided by t?
32
Suppose 4*g - 4*l - 36 = 0, -12 = -5*g + l + 53. Let x(b) = 3*b**2 - 34*b + 37. Calculate the remainder when x(g) is divided by 25.
24
Let q(n) = 9*n**2 - 30*n - 307. Let j = 24 + 16. What is the remainder when q(-6) is divided by j?
37
Let q(h) = -h**3 - 3*h**2 + 2*h - 3. Let y be q(-4). Suppose 4*g + y*z = 234, 2*g - 5*z - 158 = -g. What is the remainder when 109 is divided by g?
53
What is the remainder when 3438 is divided by ((-12)/(-9))/4 + -2 + (-558)/(-27)?
18
Let k(s) be the second derivative of 57*s**5/20 + s**4/3 - 4*s**3/3 + 3*s**2/2 + 161*s. Calculate the remainder when k(1) is divided by 10.
6
Let q(h) = 2*h**2 - 9*h - 143. Let k = 63 + -45. What is the remainder when q(14) is divided by k?
15
Suppose 4*t - 170 = 2*v, -348*t + 5*v = -347*t - 29. What is the remainder when 967 is divided by t?
43
Let p(a) = -5*a + 99. Let o be p(19). Suppose -5*l - o*r + 192 = -3*r, 112 = 3*l - r. What is the remainder when l is divided by 4?
2
Let k = 7338 + -7150. What is the remainder when 904 is divided by k?
152
Suppose 471 - 506 = -q. What is the remainder when 454 is divided by q?
34
Let a(z) = -z**3 + 13*z**2 + 17*z - 197. What is the remainder when 520 is divided by a(13)?
16
Suppose -3*j = u + 4*u + 1519, 2*j + 1019 = 3*u. Let y = j - -516. Calculate the remainder when 60 is divided by y.
4
Suppose -8*x - 934 + 6022 = 0. Suppose -5*m + x = 7*m. Let t(d) = 27*d + 1. Calculate the remainder when m is divided by t(1).
25
Suppose -22*w + w + 13 = -1646. What is the remainder when 619 is divided by w?
66
Let s = -610 + 721. Let j = -71 - -87. Calculate the remainder when s is divided by j.
15
Let j(a) be the first deriva