14
Suppose -3*f = 15, 3*h = -11*f + 15*f + 146. What is the remainder when 81 is divided by h?
39
Suppose 392*i + 830*i - 42658 - 88096 = 0. Let h(y) = y**3 + 6*y**2 + 6*y + 4. Calculate the remainder when i is divided by h(-4).
11
Let p = 8358 + -8198. What is the remainder when p is divided by 1/(-5) + (-232)/(-10)?
22
Let m(i) = i**3 - 4*i**2 + 10*i - 37. Calculate the remainder when 93 is divided by m(4).
0
Let h(t) = 4*t + 16. Let m(n) = -3*n - 16. Let b(r) = 3*h(r) + 2*m(r). Calculate the remainder when 69 is divided by b(-1).
9
Suppose 5*a = -5, -7*o + 5*a - 165 = -8*o. Let d = -121 + o. What is the remainder when d is divided by 26?
23
Let v = 745 - 584. Calculate the remainder when 498 is divided by v.
15
Suppose -17*d + 15*d = -8. Suppose 4*b - 96 = -4*h, -5*h + 62 = 3*b - d. Calculate the remainder when 104 is divided by b.
23
Suppose -n + b + 16 = 0, -2*n + 3*b - 145 = -180. What is the remainder when (6/5)/(6/75) is divided by n?
2
Let t = -936 + 1181. Calculate the remainder when t is divided by 40.
5
Let s(d) be the third derivative of -5*d**4/6 - 5*d**3/2 - 4*d**2 + d. What is the remainder when s(-2) is divided by 17?
8
Suppose 49*c - 28*c + 770 = 32*c. Calculate the remainder when 1469 is divided by c.
69
Calculate the remainder when ((6 - -1) + -8)/(7/(-917)) is divided by 12.
11
Let w(y) = y**3 + 19*y**2 - 2*y - 21. Let l(m) = -2*m + 48. Let x be l(10). Suppose -2*q = -34 + x. What is the remainder when w(-19) is divided by q?
2
Let w(j) = -10*j**2 - 80*j + 14. Calculate the remainder when w(-7) is divided by 22.
18
Let v(g) = g**3 - 4*g**2 - 21*g + 26. Suppose 0 = -q + 3*l + 10, 8*q - 6*q - l = 15. What is the remainder when 142 is divided by v(q)?
12
Let z(j) = -59*j + 4823. Calculate the remainder when 876 is divided by z(81).
40
Suppose 302 = 50*h - 548. Calculate the remainder when 452 is divided by h.
10
Let w = -1114 - -599. Let o = w - -593. What is the remainder when o is divided by 26?
0
Let h(z) = z**2 - 4*z + 3. Let l be h(3). Suppose -d = 3*d, l = -2*r + 2*d + 168. Suppose 2036*u - 2032*u = 172. Calculate the remainder when r is divided by u.
41
Let n(w) = 23*w + 1. Let h be n(5). Let z = -112 + h. Suppose -5*r = -z*r - 14. Calculate the remainder when r is divided by 8.
6
Suppose 0 = 169*j - 257*j + 3872. Calculate the remainder when 2594 is divided by j.
42
Let m = 4337 + -3523. Calculate the remainder when m is divided by 24.
22
Let a(i) = i**2 - i + 1. Let r(l) = -l**3 - 4*l**2 - 7*l - 19. Let z(x) = -3*a(x) + r(x). What is the remainder when 14 is divided by z(-7)?
2
Suppose -k + 245 = -6*k. Let t = k - -80. Suppose -t = -3*u + 5. What is the remainder when 46 is divided by u?
10
Let z = 368 - 367. Let s(o) = 35*o - 17. Calculate the remainder when s(z) is divided by (-5 + -1)*2/(-2).
0
Let j(r) = -r**2 + 15*r + 22. Let g be j(16). Calculate the remainder when 38 is divided by (208/(-20) + 2)*(-15)/g.
17
Suppose -1957*o - 21 = -1960*o. Let j be (-44)/(-6) - 1/3. Suppose -o*f = -j - 35. Calculate the remainder when 28 is divided by f.
4
Calculate the remainder when 174/4 + (-4)/32*4 is divided by (2/(-5))/((-14)/105).
1
Let q = 19450 - 19349. What is the remainder when 200 is divided by q?
99
Let k(t) = -8*t**3 + 364*t**2 + 185*t + 60. Calculate the remainder when 933 is divided by k(46).
85
Let w be (14/((-686)/(-203)))/(2/14). Let t(a) = 18*a - 103. Calculate the remainder when t(w) is divided by 61.
53
Suppose -s - 7*s + 648 = 0. Let z be (-10)/2 + (-16)/(-4) + -3. What is the remainder when s is divided by (-7)/((z - -2)/6)?
18
Suppose -3*k = 2*d + d + 15, -k - 5 = 3*d. Suppose 252*w + 255*w + 2160 = 537*w. Calculate the remainder when w is divided by 1 + 25 + (d - 1).
22
Let a be (616/48 - 13) + (-2)/(-12). Let k(h) = 20*h + 9. Suppose n - 2*f = 19, -2*n + 37 = n + 4*f. Calculate the remainder when n is divided by k(a).
6
Let b = 35 + 5. Let j = 120 - b. Suppose 102 = 2*d + j. Calculate the remainder when 18 is divided by d.
7
Suppose -4*s + 5*m + 65 = 0, 4*m + 5 = -m. What is the remainder when 596 is divided by s?
11
Let x(l) = 156*l**2 - 957*l + 1910. Calculate the remainder when x(2) is divided by 27.
26
Suppose -3*w + 117 = 4*t, 3*w + 0*w = -3. Suppose 187*d = 16767 - 2555. Calculate the remainder when d is divided by t.
16
Let f(x) = x**2 - 173*x + 851. What is the remainder when 2012 is divided by f(5)?
10
Let x be 2 + 3*(-7)/(21/(-2)). Suppose -20 = 5*j - 5*u, 7 = x*u - 9. Suppose 6*b - 258 = -j*b. Calculate the remainder when b is divided by 9.
7
Let z be (2 - 2 - -3)/(12/388). Suppose 3*f + z = -257. Calculate the remainder when 99 is divided by -2*f/9 - 68/306.
21
Suppose -3*i - 2*i = -4*g - 626, g - 118 = -i. What is the remainder when i is divided by 106?
16
Let i be (-71136)/224 - (-4)/7. Let d = i - -348. Calculate the remainder when 140 is divided by d.
16
Calculate the remainder when 12/4 + -5 + (-1 + 1171)/9 is divided by 77.
51
Let j(a) = -106*a + 270. Calculate the remainder when j(-5) is divided by 8.
0
Suppose 184*r - 2119 = 1213 + 5868. Calculate the remainder when 196 is divided by r.
46
Suppose -524 = -79*i - 337*i + 5716. Let g(l) = 59*l**2. What is the remainder when g(1) is divided by i?
14
Suppose -931 = 4*f - 5*x, f + 4*x = -3*f - 940. Let c = -115 - f. What is the remainder when c is divided by 41?
37
Let j(i) = -597*i - 4749. What is the remainder when 218 is divided by j(-8)?
2
Let q = -37092 + 37477. What is the remainder when q is divided by 85?
45
Suppose -9*i = 8 - 26. Suppose -5*n + 11 = i*h, 4*n = -4*h + 9*h - 11. What is the remainder when 18 is divided by h?
0
Let y(p) = 583*p**2 + 1. Calculate the remainder when y(1) is divided by ((-164)/41 + (-26)/(-8))/((-4)/208).
38
Let j be (-4*15/40)/(3/(-54)). Let z(o) = 2*o**2 - 53*o + 5. What is the remainder when 286 is divided by z(j)?
30
Suppose 2*s = -5*s + 21. Let m(u) = -u**2 - 24*u - 48. What is the remainder when m(-15) is divided by (-3)/s*-13 - 2?
10
Calculate the remainder when 381 is divided by (-18)/12 - (-2)/4*(45 + 0).
3
Let p be -1 + 2 + -6 + (214 - 2). Let a = -154 + p. What is the remainder when 204 is divided by a?
45
Let d = 572 - 401. Let s = d - 93. What is the remainder when s is divided by -1 + -3 + 16 + 7 + 8?
24
Let w = -1 + 80. Let a be ((-1 - w) + (2 - 2))*-1. Suppose a = -11*f + 13*f. Calculate the remainder when 78 is divided by f.
38
Let u(i) = 263*i - 6299. Calculate the remainder when 1325 is divided by u(24).
12
Suppose 1978 = -36*z + 93*z - 6857. Calculate the remainder when 458 is divided by z.
148
Let m(c) = 7*c**2 + 55*c - 18. What is the remainder when 1361 is divided by m(-9)?
11
Suppose -l = -2*f - 269, 2346*l - f + 1004 = 2350*l. Calculate the remainder when l is divided by 91.
71
Let n = 1042 + -1969. Let z = -911 - n. What is the remainder when 141 is divided by z?
13
Suppose 2*w - p + 3*p - 276 = 0, -3*w - 2*p = -418. What is the remainder when w is divided by 32?
14
Let v(q) = -4*q**2 + 3*q + 3. Let b be v(-4). Let k = -74 - b. Calculate the remainder when ((-360)/12)/((-2)/(-6) + k) is divided by 23.
22
Suppose 0 = -3*w + p - 0*p + 1462, -w - p + 486 = 0. Let i = -236 + w. What is the remainder when i is divided by 21?
20
Suppose -2*c - d + 57 = 0, -5 = 2*c + 2*d - 59. What is the remainder when 5219 is divided by c?
29
Let k(c) = -2136*c + 1486. What is the remainder when k(0) is divided by 30?
16
Let t be 1185/(-7) - (-8)/28. Let g = t - -196. What is the remainder when g is divided by 22?
5
Let m(j) = -22*j - 157. Let w be 236/7 - 4/(-14). Suppose -4*r = -w - 18. Calculate the remainder when m(-8) is divided by r.
6
Suppose -2*q = d - 4208, -4208 = -d - 123*q + 120*q. Calculate the remainder when d is divided by 18.
14
Suppose 0 = -3*d + 4*b - 3, 0 = -5*d + 3*b - 8*b + 30. Suppose 0 = -5*w + 4*h + 1614, -d*w - 4*h + 1122 = 128. Calculate the remainder when w is divided by 15.
11
Suppose -3*g - 12 + 94 = -2*c, -2*c + 2 = 0. Suppose -g*u + 29*u = 5*b + 81, -178 = -3*u + 2*b. What is the remainder when 277 is divided by u?
53
Let t = -16789 - -19084. What is the remainder when t is divided by 79?
4
Calculate the remainder when 445 is divided by 1346/18 - -2*(-16)/(-144).
70
Let w(s) = 24*s + 6. Let z be w(4). Let f = z - 75. What is the remainder when 57 is divided by