ed by 29.
26
Let g(u) = -u**3 + 3*u + 2. Let j be g(-1). Suppose l + 3*l = 2*x + 6, x + 3 = j. Suppose 47*s - 41*s - 174 = l. What is the remainder when s is divided by 4?
1
Let s = 52 - 32. Let n = s - 9. Suppose 2*v - 46 = -2*c, -157*c + 160*c = 3*v - 21. Calculate the remainder when v is divided by n.
4
Let z(w) = -w**3 + 11*w - 2. Let o be (-17)/(-4) + 114/152. Let n be 17/(-3) - 4*o/(-30). Calculate the remainder when z(n) is divided by 18.
14
Let d = 198 - 46. Let z(r) = -r**3 - 20*r**2 - 105*r - 29. What is the remainder when d is divided by z(-11)?
4
Suppose -4*v + 2702 = 1010. Suppose -21*y - r - v = -24*y, -2*r = 5*y - 716. What is the remainder when y is divided by 74?
68
Calculate the remainder when ((2 - 0) + (-110)/2)*-10 is divided by 14.
12
Let c = -1055 - -1228. Calculate the remainder when c is divided by 18.
11
Let j(c) = c**3 + 196*c**2 - 1421*c + 299. Calculate the remainder when j(-203) is divided by (-1204)/(-12) - (-2)/3.
97
Let m(y) = -11*y**2 - 27*y + 424. Let u(t) = -5*t**2 - 13*t + 213. Let c(g) = 4*m(g) - 9*u(g). Calculate the remainder when 87 is divided by c(12).
25
Let z(r) = 482*r**2 + 1. Let t be z(-1). Suppose 12*k + 9*k - t = 0. What is the remainder when 40 is divided by k?
17
Let m be (((-8)/6)/((-60)/(-6390)))/(-2). Suppose c = -5*f + 78, -m*c = -66*c + 4*f - 306. What is the remainder when c is divided by 15?
13
Let i(y) = 8*y**2 - 48*y + 10. What is the remainder when 151 is divided by i(7)?
19
Calculate the remainder when 123 - (21/(-42))/((-1)/(-12)) is divided by 104.
25
Suppose v - 163 = -3*y - 123, -2*v = y - 10. Let z be (-11 - 1)/(-4 - -2). Suppose -546 = -z*f - 48. Calculate the remainder when f is divided by y.
13
What is the remainder when 1300 - ((-96)/(-80))/((-3)/10) is divided by 183?
23
Let p(g) = -77*g + 19. Suppose -14*r = -1 + 15. What is the remainder when p(r) is divided by 49?
47
Let f(b) = 4 + 4 + 50*b**3 + 3*b - 49*b**3 - 7*b**2. Let d be f(6). Let a(w) = -2*w**2 - 23*w - 24. What is the remainder when 28 is divided by a(d)?
4
Suppose -2*m + 3*o + 33 = 0, 56 = 3*m + 2*o - 0*o. Suppose -636 = -1228*a + 1216*a. Calculate the remainder when a is divided by m.
17
Let m(o) = -o**2 - 39*o - 252. Let v be m(-27). Suppose -g - 3*g + v = -5*w, 2*g - 36 = -2*w. Calculate the remainder when 267 is divided by g.
15
Let o(v) = -v**3 + 4*v**2 - 12. Let w be o(5). Let y = w + 37. Suppose 2*l - 491 + 135 = y. What is the remainder when l is divided by 30?
28
Let d = 38 + 13. Let a(y) = 25*y**2 - 3049*y - 82. What is the remainder when d is divided by a(122)?
11
Suppose -527 = -5*d - 389*n + 385*n, -4*d = -3*n - 465. What is the remainder when 267 is divided by d?
45
Suppose q - 30 = -q. Suppose 11*x - 664 = 3*x - 200. Calculate the remainder when x is divided by q.
13
Suppose 88 + 202 = 5*k. Calculate the remainder when k is divided by ((-16)/2)/((-340)/425).
8
Suppose -335 + 60 = -5*v. Let n = v + -44. Suppose 980 = -j + n*j. What is the remainder when j is divided by 20?
18
Suppose 0 = -201*v + 138*v + 21987. Calculate the remainder when 3837 is divided by v.
347
Let o be 2 + 2/(-2) - -4. Let k be 117/(-12)*(-56)/21. Suppose -r - 4*l - k = -3*r, 4*l + 47 = o*r. Calculate the remainder when r is divided by 2.
1
Let g be (-76)/(-646) - (-1254)/34. Suppose 29*z + 248 = g*z. What is the remainder when 494 is divided by z?
29
Let m = 71 + 163. Let r = 261 - m. Calculate the remainder when 31 is divided by r.
4
Let b = -63 + 69. Suppose d = b*d - 140. Suppose 4*h - 471 = 305. Calculate the remainder when h is divided by d.
26
Calculate the remainder when 514 is divided by (7 - (-12 - -6)) + -7.
4
Let h(r) = 35*r + 1. Let p(g) = 69*g + 2. Let f(m) = -7*h(m) + 3*p(m). What is the remainder when ((18957/1246)/(6/(-7)))/((-1)/4) is divided by f(-1)?
34
Suppose -175 = -5*n - 3*j, 0 = 2*n - 3*n - j + 33. Suppose 5*d - 119 = -2*m + 6*d, 5*d + 241 = 4*m. Calculate the remainder when m is divided by n.
21
Let t be 7848/(-48)*(-6)/9. Let j = 116 - t. What is the remainder when 1/1*(1 + 20) is divided by j?
0
Let l(n) = -66*n - 32 + 36*n + 9 + 34*n. Calculate the remainder when 69 is divided by l(12).
19
Let b(h) = -h**2 - 11*h - 2. Let l be b(-7). Let r = 34 - l. Suppose 2*f - 2 - r = 0. Calculate the remainder when 17 is divided by f.
2
Let n(a) = -5*a**2 - a + 145. Let u be n(0). Suppose u = -32*b + 37*b. What is the remainder when 112 is divided by b?
25
Suppose 4*q + 27 + 17 = 0. What is the remainder when (30/(-15))/(6/(-489)) is divided by (3*q - 0)/((-4)/4)?
31
Let o = 55 + -48. Let c(h) = -9 - 8 + o*h - 4*h. What is the remainder when c(13) is divided by 7?
1
Let p be 47 + 1*9/(-3). Let h = 38 - p. What is the remainder when (60/2)/(h/(-4)) is divided by 7?
6
Calculate the remainder when 523 is divided by (-15)/(15 + -14) - -175.
43
Let s(o) = o**2 + 18*o - 55. Let b(y) = -17*y - 116. Let i be b(-7). Calculate the remainder when 109 is divided by s(i).
5
What is the remainder when 143/(-22) - (-40968)/48 is divided by 61?
54
Suppose 277 = 2*p - 3*k, -35 = 986*k - 991*k. Calculate the remainder when p is divided by 70.
9
Let m = 51 + -25. Suppose -3*o = -5*g - 21, 2*o - 42 = -4*o - 5*g. What is the remainder when m is divided by o?
5
Let d(v) = 13*v - 198. What is the remainder when d(36) is divided by 131?
8
Let d = 30 - 8. Let m be -19*3/(-171) + (-5)/(-3). Suppose -3*x = -2*y + 170, m*y + 3*x - 124 = 46. What is the remainder when y is divided by d?
19
Suppose 0 = 33*d - 18 - 147. Calculate the remainder when 2504 is divided by d.
4
Let i = 1672 + -1224. What is the remainder when i is divided by 38?
30
Suppose 647 = 5*l + 292. What is the remainder when l is divided by 44/6 - (-2)/3?
7
Let a = 303 + -110. Suppose -54 = -17*r - 3. Suppose 0 = -r*i - 5*f + 79, -2*f = 14*i - 10*i - 110. Calculate the remainder when a is divided by i.
25
Let s(t) = -18*t + 1247. Let x be (-2)/8 + 142/(-8). What is the remainder when s(68) is divided by 0 - x/(1 + 1)?
5
Suppose 33*c = 29*c + 20. Suppose c*r - 285 = -2*j - 46, r - 365 = -3*j. Let d = 137 - j. Calculate the remainder when 208 is divided by d.
13
Suppose 2930 = 16*h + 4*h - 2*g, 3*g - 15 = 0. What is the remainder when 733 is divided by h?
145
Suppose -73*d = -68*d - 115. Suppose 99*j = 122*j - 3680. Calculate the remainder when j is divided by d.
22
Suppose 2*k = -5*m + 272, 4*m - 992 = -70*k + 62*k. What is the remainder when 168 is divided by k?
47
Calculate the remainder when (149 + (4 - 5))*2106/648 is divided by 476.
5
Suppose 0 = 3*d + 2*c - 17245, -141*d = -142*d - c + 5748. Calculate the remainder when d is divided by 213.
211
Let p(f) = f**2 + 8*f + 8. Let c be p(-6). Let j = 29 + c. Calculate the remainder when (-25)/(-15)*(-292)/60*-9 is divided by j.
23
Suppose 0 = 4*p - 59 - 21. Calculate the remainder when (114/21)/(16/112) is divided by 7 + -4*(-15)/p.
8
Suppose 4*b - 2 = 26. Let x = -454 - -454. Suppose x = -3*g + 12, -4*r - r - 3*g = -147. What is the remainder when r is divided by b?
6
Suppose -3*y = 2*w - 736, 5*w - 224*y - 1835 = -229*y. What is the remainder when w is divided by 351?
14
Let j = 63 + -61. Suppose 11*t = -j*t + 286. Calculate the remainder when (-2 + 455)*(-1)/(-3) is divided by t.
19
Suppose -43*b - 24 = -420 - 292. Suppose -4*t + 3*r + 36 = 0, -t - 2*r - 3 + 12 = 0. What is the remainder when b is divided by t?
7
Let r(w) be the second derivative of w**5/20 - 13*w**4/6 - 13*w**3/3 + 3*w**2/2 + w + 19. What is the remainder when 148 is divided by r(27)?
28
Let r = -31 - -37. Let c(y) = 5*y**2 - 9*y + 10. Let u be c(r). Let g = -37 + u. Calculate the remainder when g is divided by 34.
31
Suppose -2*a - b + 351 = 0, 2*a = -2*b - 188 + 540. Suppose 2*t - 233 = a. What is the remainder when t is divided by 52?
48
Suppose -j + 4*w = -4, j - 4 = -3*w - 2*w. Suppose -4*m = -3*i + 41, m + 8 = -i - j. Calculate the remainder when m/(8/(-7) - -1) is divided by 40.
37
Let y(x) = 29*x + 92. What is the remainder when 9 is divided by y(-3)?
4
Let k(m) = 2*m - 12. Let d be k(8). Calculate the remainder when 197 is divided by d/16 + 387/36.
10
Suppose -3*n + 2*z = -3*z - 32, 2*n - 3*z - 21 = 0. Calculate the remainder when n is divided by (10 + (-105)/15)/((-3)/12*-4).
0
Let g = -3417 - -3471. Calculate the remainder when 530 is 