z = q + -4. Let d = 14293 - 14289. Calculate the remainder when z is divided by d.
1
Let m(f) = 5*f + 19. Let d be (3*(-3)/15)/(6/30). What is the remainder when 12 is divided by m(d)?
0
Calculate the remainder when 5553/6 + (-141)/94 is divided by 65.
14
Suppose -5*a + 102 = -4*v, -42*a - v = -41*a - 24. Calculate the remainder when 174 is divided by a.
20
Let f(g) = 4*g + 51. Let m be f(-12). Suppose x - 415 = -2*c, 5*x - m*c = 828 + 1182. What is the remainder when x is divided by 68?
65
Suppose v + 3*v + 281 = -5*u, 0 = -v - u - 70. Let o = 68 + v. Calculate the remainder when -3 + (76 - 1)*(o - -2) is divided by 37.
35
Suppose 5*x = 2*x + 60. Let d = 24 - x. Suppose -14 - 46 = -d*w. What is the remainder when 29 is divided by w?
14
Suppose 4*h - 5*h = 3*l - 512, -3*h = -4*l - 1549. What is the remainder when h is divided by 153?
56
Suppose -2251*q = -2165*q - 168216. Calculate the remainder when q is divided by 24.
12
Suppose -4*d + 11124 = 2*c, -3*d + 10963 = 3*c + 2623. What is the remainder when d is divided by 14?
10
Suppose 7 = -2*q - 2*n + 3, -2*n - 14 = -3*q. What is the remainder when ((-32)/(-80))/(q/120) is divided by 16?
8
Calculate the remainder when 162 is divided by 10/(-4)*(-32 + (-310)/(-25)).
15
Suppose -41*s + 725 = -234 - 353. What is the remainder when (-498)/(-8) + (-18)/(-24) is divided by s?
31
Calculate the remainder when (1 - (-7)/3)*(-47)/(893/(-741)) is divided by 130.
0
Suppose 231 = 65*l - 54*l. Suppose t + l*t = 2464. Calculate the remainder when t is divided by 19.
17
Suppose 0 = 2*t - 53*w + 56*w + 88, -3*t + 3*w = 117. Let v = -100 - -28. Let g = t - v. What is the remainder when 154 is divided by g?
30
Suppose u - 167 = -6*j + 10*j, -5*u - 5*j = -735. Calculate the remainder when 420 is divided by u.
118
Let l(t) = -t**3 - 23*t**2 - 53*t - 23. Suppose -3*n - 45 = -9. What is the remainder when l(-21) is divided by (15/6)/((-1)/n)?
28
Suppose -71 = 29*d - 767. What is the remainder when 948 is divided by d?
12
Calculate the remainder when 1345 is divided by 32/10 + -3 + 6944/155.
40
Suppose 20*j = 25*j - 65. Let n(a) = 17*a - 179. Let y(h) = h**2 + h + 3. What is the remainder when n(j) is divided by y(-4)?
12
Suppose -11*o = -9*o + 268. Let c = o - -138. Calculate the remainder when 9 is divided by c.
1
Let b = 400 - 375. Suppose b*s = 19*s + 1356. What is the remainder when s is divided by 6?
4
Let s = 10666 - 10607. Calculate the remainder when 843 is divided by s.
17
Suppose 4*m - 397 = -37. Let x = -322 - -325. Suppose x*b - 204 = m. Calculate the remainder when b is divided by 33.
32
Let l = -365 - -362. Let n(j) = -92*j + 2. Let u be n(-2). Calculate the remainder when 60 is divided by ((-5)/2 - l)/(3/u).
29
Suppose -4*m - 21*y + 43 = -26*y, 9 = -3*y. Suppose 2*v - m*v = 3*n - 1297, 0 = n + 3*v - 435. Calculate the remainder when n is divided by 43.
42
Let j = 214 + -200. Calculate the remainder when 5 + 10576/28 + 4/j is divided by 77.
75
Let s(f) = -9*f**2 - 415*f - 261. What is the remainder when 1547 is divided by s(-45)?
35
Suppose -220*x + 217*x + 40105 + 14009 = 0. Calculate the remainder when x is divided by 41.
39
Suppose 0*u + 2*u - 58 = 0. Let k = 63008 - 62992. What is the remainder when u is divided by k?
13
Let t(m) = -m - 3. Let n be t(-7). Let q be 23 + 7 + 3/(6/n). Let o = 45 - q. What is the remainder when 35 is divided by o?
9
Suppose 3*u = -3*q + 24, 0 = -u - 5*q + 8. Let i(j) = -7*j - 7*j**2 + j**3 + 2*j - 4 + 0*j**3 + 12. What is the remainder when i(u) is divided by 7?
4
Let i(r) = 105*r + 7490. Calculate the remainder when 1945 is divided by i(-70).
125
Let r be 2*(-4)/24*3. What is the remainder when 68 is divided by -5 + (16 + 2 - r)?
12
Let f be 35/11 - 4/22. Suppose 0 = 3*s + 3*t + 9, -2*t - f = 5*s + 3. Suppose d - 6 - 6 = s. Calculate the remainder when d is divided by 9.
3
Suppose -4*d - 2*t + 4 = 0, 3*t + 8 = -d - 1. Calculate the remainder when 117 is divided by -8 + d + 35/1 + 0.
27
Let j = -694 + 1734. What is the remainder when j is divided by 29?
25
Let j = 60 - 65. Let f(i) = -i**3 + 6*i**2 - 7*i - 32. What is the remainder when f(j) is divided by 31?
30
Suppose 9 = f - s, 2*f + 4 - 26 = 4*s. Suppose n - 3 = -3*x, 0 = -0*x - 3*x. Suppose -n*j - 2*j = -85. What is the remainder when j is divided by f?
3
Let s(r) = 5*r**2 + 35*r + 154. Calculate the remainder when 6840 is divided by s(-9).
8
Suppose 0 = 2*i + 2*i - 80. Let o(d) be the second derivative of d**4/2 + 41*d**3/3 + 7*d**2/2 - 23*d. What is the remainder when o(-14) is divided by i?
15
Suppose 0 = n + 2, -37 + 11 = -5*c + 3*n. Let f(j) = 12*j**3 + 3*j**2 + j - 3. Let s be f(1). Let v = 8 + s. What is the remainder when v is divided by c?
1
Let y be ((-40)/3)/(11 - 1837/165). Suppose 96*q + 360 = y*q. Calculate the remainder when q is divided by 48.
42
Suppose -1740 = -61*c - 1435. Calculate the remainder when 615 is divided by c.
0
Let r(u) = 82*u**2 - 1655*u - 30. Calculate the remainder when r(23) is divided by 96.
3
Suppose 6592 = 52*m - 3704. Calculate the remainder when 282 is divided by m.
84
Suppose -4*i + 281 = -4*m + m, -m = 2*i + 87. Let v = 52 + m. Let w = 53 + v. Calculate the remainder when 67 is divided by w.
11
Suppose -810 = -404*y + 377*y. Calculate the remainder when 86 is divided by y.
26
Let f = 88 + -68. Let v = -36 - f. Let l = v + 108. What is the remainder when l is divided by 19?
14
Let o(s) = 1428*s + 8127. What is the remainder when o(-4) is divided by 93?
90
Let p = -38 - -139. Suppose 8*j = p + 35. Calculate the remainder when 61 is divided by j.
10
Calculate the remainder when ((-9)/(-12))/((-24)/(-9824)) is divided by 97.
16
Suppose 9*i - 153 = 108. Suppose 68*r = 64*r + 52. Calculate the remainder when i is divided by r.
3
Let j(t) = 3*t**2 - 149*t + 278. What is the remainder when j(59) is divided by 193?
0
Let w = 203 - 119. Suppose -w*b - 1300 = -109*b. Calculate the remainder when b is divided by 150/14 - (-4)/14.
8
Suppose -m = 3*j - 66, 31*m - 178 + 1 = -4*j. Calculate the remainder when 650 is divided by j.
20
Let z(d) = d**3 + 12*d**2 - 13*d + 10. Let w be z(-13). Let a be (-71)/(-2) - (w/4)/(-5). Suppose 6*t = 210 + a. What is the remainder when t is divided by 11?
8
Suppose 71 = c - 4*l, -129 = -4*c - 4*l + 15. What is the remainder when 1277 is divided by c?
30
Let w(g) = 37*g**3 + 6*g + 5. Let q be w(-1). Let d = q - -105. What is the remainder when d is divided by 26?
15
Let d be (-1)/(-3) - (-273)/(-9). Let v(i) = -7*i**3 + 10*i**2 - 3. Let g be v(2). Let f = g - d. Calculate the remainder when f is divided by 3.
2
Let n be -92 - (108/(-21) - (-48)/(-56)). Let z = -229 + 346. Let u = z + n. Calculate the remainder when u is divided by 4.
3
Let t = 88 + -88. Suppose -3*g = 15, t = -f + g + 2*g + 16. What is the remainder when 14 is divided by (f + 1)*(-2)/(-1)?
2
Calculate the remainder when (-12)/5*8/((-384)/11920) is divided by 202.
192
Let u = -58 + 74. Suppose 18*f = u*f + 100. Let a = 58 - f. Calculate the remainder when a is divided by 5.
3
Suppose 467 = -2*z - g, -z + 2*g + 2*g - 220 = 0. Let x = -159 - z. What is the remainder when x is divided by 32?
9
Suppose 0 = 2*s - 1 - 9. Suppose -a + 4 = 0, s*a = f - 2*f + 24. Suppose -g - 3 = 0, -41 = -f*x - g + 4*g. What is the remainder when x is divided by 2?
0
Let c(j) = j**2 + 4*j - 5. What is the remainder when c(-13) is divided by -1*123/(-2) - ((-725)/58 - -15)?
53
Let n(b) = 5*b**2 + 14*b + 74. What is the remainder when n(-5) is divided by 5?
4
Let n = -671 + 879. What is the remainder when 832 is divided by n?
0
What is the remainder when 136 is divided by 17/(136/(-940))*(-8)/10?
42
Let p(m) = -10*m - 21. Let f(y) = -y**2 + 6*y + 2. Let a be f(7). Calculate the remainder when 83 is divided by p(a).
25
Let v be 54*((-320)/(-6) + -6). Suppose -9*n + v = -0*n. Calculate the remainder when n is divided by 72.
68
Let d(w) = -31*w - 283. Let i(v) = -13*v + 144. Let g be i(12). Calculate the remainder when d(g) is divided by 24.
17
Suppose 3*l - 9*l + 24 = 0. Suppose l*n = c, -5*n = -c + 2 + 1. What is the remainder when (23 + -5)/(c/8 + 3) is divided by 8?
4
Let t = 3 + 54. Suppose -14*i + 123 = -31. Calculate the remainder when t is divided by i.
2
Let z(k) = -18*k + 64. Let t be z(9). Let a = -23 -