/(-24) - (-14)/(-60)).
9
Suppose 31*m - 1110 = 21*m. Calculate the remainder when m is divided by 2*(-5)/2 - 1564/(-23).
48
Let c be (48/9)/((-6)/(-45)) - -3. Let d = -26 + c. Let w = 4 + 28. Calculate the remainder when w is divided by d.
15
Let n be ((-1278)/(-27))/(1/3). Let c = n + -132. Suppose 0*i - 270 = -c*i. Calculate the remainder when 51 is divided by i.
24
Let u = -211 - -231. Suppose 167 = 7*k + u. Calculate the remainder when 167 is divided by k.
20
Let f(i) = 5*i**2. Let o be f(-2). Let n(p) = 9*p**2 - 153*p + 278. Calculate the remainder when 147/5 + (-8)/o is divided by n(15).
5
Let c = 20 + -19. Suppose -2*r - 4*q = -2*q + 44, -3*r = -2*q + 46. Calculate the remainder when ((-20)/(-15))/((-8)/r) is divided by c.
0
Let c(l) = -l**3 + 15*l**2 + 22*l - 19. Let o = -102 + 96. Let a be 36/2 - o/(-3). What is the remainder when c(a) is divided by 10?
7
Let m(r) = 3*r + 2. Let z be m(1). Suppose -z*x + 38 = -12. Let o(y) = 5*y - 43. Calculate the remainder when 32 is divided by o(x).
4
Let p(o) = 684*o**2 - 5*o + 3. Let i be p(1). Let b = i + -594. Calculate the remainder when b is divided by 18.
16
Let y(t) be the first derivative of t + 21 + 7/3*t**3 + t**2. What is the remainder when y(-2) is divided by 15?
10
Suppose 0 = 153*s + 689 - 7574. What is the remainder when 1165 is divided by s?
40
Let y(w) be the first derivative of w**3 - 37*w**2/2 + 25*w - 88. Calculate the remainder when y(15) is divided by 30.
25
Let w(y) = 5*y**2 - 637*y + 6240. Calculate the remainder when 2200 is divided by w(10).
350
Suppose o + 2*u = 6, 0 = 5*u + 6 - 1. Suppose -3*w = -w + 24. Let j = 27 + w. What is the remainder when j is divided by o?
7
Let z(t) = t**2 - t + 40. Let i be z(0). Suppose 3*b - i = -2*b. Suppose 9*c + 441 = 16*c. Calculate the remainder when c is divided by b.
7
Suppose t = 3*t + a - 35, a + 50 = 3*t. Suppose 5*p + 20 = -0*p. Let u = p + 10. Calculate the remainder when t is divided by u.
5
Suppose -5*l + 4*j + 2281 = 0, 2*l + 198*j - 913 = 199*j. What is the remainder when 466 is divided by l?
9
Suppose 1345 - 1342 = -c. What is the remainder when (2 - 49 - 0)/(-1) is divided by 13/((-819)/(-432)) - c/21?
5
Suppose 4*v - 7*v - 54 = 0. Let k be (-75)/(-10)*v/(-15). Suppose -45 = -5*u - 5*c - 10, -k = -u - 3*c. What is the remainder when 33 is divided by u?
3
Let t = 542 + -537. Calculate the remainder when t*159/12 - (-105)/(-84) is divided by 35.
30
Suppose 0*y + 3*y - 69 = 3*n, -3*y + 107 = -5*n. Let k = n - -27. Calculate the remainder when (-1 - -2)/(1/79) is divided by k.
7
Let d be (29 + 3)*(-2)/4. Let u = d - -29. Calculate the remainder when (-51)/5*150/(-15) is divided by u.
11
Suppose 99348 = -135*m + 622*m. What is the remainder when 5512 is divided by m?
4
Let u be (0 - -2) + -5 + 3. Suppose u = -0*x - 19*x + 38. What is the remainder when 17 is divided by x?
1
Suppose 8*o = 3*o. Suppose 2*m - 46 = -4*k, o = -2*m + 2*k - 6 + 40. Calculate the remainder when 89 is divided by m.
13
Let h(t) = t**3 - 5*t**2 + 4*t + 24. Let s(r) = -r**3 + 27*r**2 - 2*r + 61. Let z be s(27). What is the remainder when h(z) is divided by 7?
3
Suppose 0 = -2*y + 3*t + 10, -y - 1944*t = -1946*t - 1. Let u(a) = -32*a + 4. Calculate the remainder when u(-3) is divided by y.
15
Suppose 98 + 37 = 5*y. Suppose 0 = 4*i - 3*s - 190, -6 = -106*s + 109*s. Calculate the remainder when i is divided by y.
19
Suppose 3*j = -2*n - 85 + 9, -2*n + 4*j - 104 = 0. Let f = -30 + n. Let m = f - -178. What is the remainder when m is divided by 35?
34
Let t(u) = 13*u**2 - 983*u + 123. What is the remainder when t(79) is divided by 20?
19
Let z(l) = 2*l**3 + 86*l**2 - 88*l. Let x be z(-44). Suppose 3*c + 4*k - 18 = x, c - 3*k + 5 = -8*k. Calculate the remainder when 93 is divided by c.
3
Let v be ((-72)/30)/((-4)/(-10)). Let j be (-8)/v + 382/6 + -1. Let s = 31 + j. Calculate the remainder when s is divided by 48.
47
Let j(n) = -n**2 + 17*n - 40. Let l be j(14). What is the remainder when (-1 - -3)/l - -24 is divided by 10?
5
Suppose 0 = -7*k - 134 + 533. Let n = 20 - 27. What is the remainder when k is divided by (-4 - (n - 0)) + 17?
17
Let s(y) = -y. Let z(n) = 7*n - 1. Let r(o) = s(o) + z(o). Suppose 1173*f = 2302*f - 1149*f + 160. Calculate the remainder when r(2) is divided by f.
3
What is the remainder when (-2340)/2*(-438)/657 is divided by 9?
6
Suppose -4*o = 4*o - 1970 - 1094. Calculate the remainder when o is divided by 56.
47
Suppose -1574*w = -44101 - 6267. Let s(h) = 23*h**3 + h**2 + h - 1. What is the remainder when w is divided by s(1)?
8
Let x(n) = 3*n**2 - 75*n + 626. Calculate the remainder when 1227 is divided by x(15).
171
Suppose q + 4*q - 4*t = -12, 4*q - 2*t = -6. Suppose -2*c = -q*c - 202. What is the remainder when c is divided by 13?
10
Let u = -5 + 10. Suppose 275*h = 50*h + 50057 + 5968. What is the remainder when h is divided by u?
4
Suppose 15 = 9*v - 4*v. Suppose 2*z - 6*z + 196 = -v*q, -q - 147 = -3*z. Calculate the remainder when z is divided by 24.
1
Let q(b) = -133*b**3 + 31*b**2 + 118*b - 41. Calculate the remainder when q(-4) is divided by 6.
5
Let c(p) = p**2 + 15*p. Let b = 70 - 85. Let y be c(b). Suppose y = 5*u - 319 - 46. Calculate the remainder when u is divided by 15.
13
Suppose -v = 2*v - 33. Let c be (8/20)/((-10)/(-125)). Suppose 4*z + c = -3, z + 43 = m. What is the remainder when m is divided by v?
8
Suppose 5*m = m + 388. Let s = -2211 + 2225. What is the remainder when m is divided by s?
13
Let j = -3285 - -3408. Calculate the remainder when 146 is divided by j.
23
Let u(i) = -i**3 + 30*i**2 - 101*i - 37. Suppose 42 = a - 4*f, -2*a - f + 27 = -21. Suppose -12 = -4*z + 32. Calculate the remainder when u(a) is divided by z.
8
Let n = -10242 - -11779. What is the remainder when n is divided by 81?
79
Suppose 10 = -5*f - 4*d, 0*d - 18 = f + 4*d. Suppose -57 = -f*m - 3*q, -5*m + q - 4*q = -120. Let y = 23 - m. Calculate the remainder when 14 is divided by y.
0
Let b(x) = x**2 + 114*x - 10726. Let k(z) = -7*z - 10. What is the remainder when b(63) is divided by k(-7)?
35
Let i = -15866 - -16360. What is the remainder when 1498 is divided by i?
16
Let i be 14/161 + 396/207. Let q(h) be the third derivative of 7*h**5/60 + h**4/6 - 4*h**3/3 + h**2. Calculate the remainder when 83 is divided by q(i).
27
Suppose -8 = -2*h, -4*w - 435*h + 433*h = -428. What is the remainder when 4407 is divided by w?
102
Let q be 6*(-8 + (-3710)/(-20)). Suppose -52*m = -q - 3875. Let f = 30 + -10. Calculate the remainder when m is divided by f.
15
Let v(o) = -o**3 + 4*o**2 + 14*o - 311. What is the remainder when v(-12) is divided by 227?
9
Suppose z - 5*g - 208 = 0, 346 = 4*z - 2*z + 4*g. Suppose -4*r - 79 = -h, 47*h = 52*h + 2*r + 23. What is the remainder when z is divided by h?
0
Let z(h) = -9*h - 7. Calculate the remainder when z(-6) is divided by 13 - (-44 + 2295/51).
11
Let k = 3481 + -3351. Calculate the remainder when k is divided by 63.
4
What is the remainder when 2117 is divided by ((-12)/10)/(-17*(-72)/(-33660))?
5
Suppose -3*n - 385 = 13*r - 14*r, 0 = 3*r - n - 1179. Calculate the remainder when r is divided by 100.
94
Let m(g) = -4*g + 12. Let t be m(-17). Suppose 0 = 3*z + a - t, 26*z = 27*z - 5*a - 48. Calculate the remainder when z is divided by 8.
4
What is the remainder when 1064 is divided by ((16 - 1)*(-2)/(-14))/(8/504)?
119
Let k be (14 + -2)/2 - -60. What is the remainder when 2 + 4 + -3 + k is divided by 9?
6
Let a(t) = 9*t + 13. Let j(w) = -8*w - 11. Let d(h) = 2*a(h) + 3*j(h). Let q = 45 + -33. Calculate the remainder when q is divided by d(-2).
2
Let p = 48 - 44. Suppose 0 = -3*m + p*t + 1030, 3*m + 0*t = -3*t + 1065. Suppose 8*j - m = -6*j. Calculate the remainder when 70 is divided by j.
20
Calculate the remainder when 25106 is divided by (1 + -4 - (-923)/355)*-155.
58
What is the remainder when 391 is divided by 20/(-50)*15 - -14?
7
Let l be 3 - ((-9)/(-6) - (-12)/(-8)). Suppose 0 = l*g - 19*g + 704. Calculate the remainder when 349 is divided by g.
41
Let l(y) = -3*y**3 + 21*y**2 + 19*y + 6. Calculate the remainder when l(-7) is divided by 381.
26
Let g = 11641 + -10967. Calculate the remainder when g is divided by 115.
99
Let w = 1953 + -1937. Suppose 42*g = 38*g + 244. Calculate the remainder when g i