02
Suppose -3*b + 5*r + 48 = -41, -95 = -5*b - 5*r. Let y(n) = 126*n. Let p be y(1). Let a = p + -83. What is the remainder when a is divided by b?
20
Let t = 3047 + -2033. What is the remainder when t is divided by 60?
54
Let a = -104 - -98. Calculate the remainder when (-3650)/a + 1 + (-7)/3 is divided by 19.
18
Calculate the remainder when 559 is divided by (2 - -103)/3*496/1240.
13
Suppose 114*w - 27 = 111*w. Suppose 5*y = -w*y + 224. What is the remainder when 39 is divided by y?
7
Let p = -3637 + 7214. What is the remainder when p is divided by 14?
7
Let b = 393 - 389. Suppose 13*o - 1360 = -b*o. What is the remainder when o is divided by 55?
25
Suppose -m = 3*m - 128. Suppose -6837 = 273*l - 316*l. What is the remainder when l is divided by m?
31
Suppose -5*d = 15, -26 = 7*z - 3*z - 2*d. Suppose -5*g + 25 = 5*a, 2 = 3*a - 2*a - 2*g. What is the remainder when (1/5)/((z/65)/(-8)) is divided by a?
1
Suppose 5*b + 3*z = 2686, -43 = 3*b + 4*z - 1648. Suppose 72*k + b = 79*k. Calculate the remainder when 383 is divided by k.
75
Suppose -5*h = 2*y - 5*y + 832, y = h + 280. Suppose 124 = -4*c + o - y, 0 = -3*c + 4*o - 306. Let z = 130 + c. What is the remainder when z is divided by 15?
13
Suppose -738 = d - 808. Calculate the remainder when d is divided by 56.
14
Suppose 2*q + 4*b - 32 = 0, 3*q - 71 = 3*b - 77. What is the remainder when 3074 is divided by q?
2
Suppose -8389 = -58*u - 3343. Calculate the remainder when u is divided by (-214)/(-10) - 6*4/(-40).
21
Let z = -682 + 785. Let k be (44/5)/((-2)/(-15)). Let h = z - k. Calculate the remainder when 145 is divided by h.
34
Let m = 5638 + -5530. Calculate the remainder when m is divided by 18.
0
Suppose -4*z = 149 - 729. Suppose -39*f + 1544 = 23*f + 366. Calculate the remainder when z is divided by f.
12
Let y(d) = -21*d + 117. Let i(r) = r - 2. Let j(f) = 18*i(f) + y(f). What is the remainder when 2/(-6)*-1*141 is divided by j(23)?
11
What is the remainder when (-2454)/(-15) + 15/(-25) is divided by (-6)/9*66/(-4)?
9
Let i(v) be the third derivative of v**6/120 + 3*v**5/10 - v**4/2 - 31*v**3/2 + 146*v**2 - 1. Calculate the remainder when i(-18) is divided by 14.
11
Let q(a) = a**3 + 9*a**2 + 6*a - 7. Let l be q(-8). Suppose l*k + 3 = 10*k. What is the remainder when (-14)/98 - 142/(-14) is divided by k?
1
Let k(l) = 55*l - 426. Let n = -89 + 53. Calculate the remainder when k(9) is divided by (4/(-6))/(1/n).
21
Suppose w + 15 = 25. Suppose 11*z - w = 9*z. Suppose -4*u - z*i + 73 = 0, u = 2*u - 2*i - 28. What is the remainder when 42 is divided by u?
20
Suppose -61*z - 20366 + 274958 = 35*z. What is the remainder when z is divided by 166?
162
Suppose 10 + 10 = -10*g. Let y be ((-7)/(-21))/(g/12). What is the remainder when (y*(-32)/(-10))/(34/(-170)) is divided by 17?
15
Suppose -15*h = 5*p - 10*h - 310, -6*p + 4*h + 402 = 0. What is the remainder when p is divided by 14?
9
Suppose -208*o + 73305 = 56*o + 8361. Calculate the remainder when 362 is divided by o.
116
Let i be 13/((-39)/396)*(-2)/6. What is the remainder when 220/4 - 0 - -1 is divided by (-41)/(-2) + (-66)/i?
18
Let j be (-1)/(-2) - (-6)/4. Let f(m) = -m**2 + 37*m - 120. Let g be f(23). Suppose g = j*l + 180. What is the remainder when l is divided by 8?
3
Suppose 3*i + 4*f = -338 - 487, -4*i - 1104 = 4*f. What is the remainder when 0 - (-10 + 2 + i) is divided by 59?
51
Suppose -4*f + s + 79 = 0, 5*f + 3*s = 109 - 6. What is the remainder when 1658 is divided by f?
18
Let a(m) = 16*m**3 - 45*m**2 + 5*m - 7. Calculate the remainder when 110 is divided by a(3).
5
Let l(k) = -6*k. Let q be (-56)/10 - 3/((-30)/(-4)). Calculate the remainder when l(q) is divided by 20.
16
Suppose 0 = -155*r + 350*r - 16185. Suppose 58 = 3*c - 3*x - 35, -151 = -4*c - 5*x. Suppose 0 = -2*v - 0*v + c. What is the remainder when r is divided by v?
15
What is the remainder when (6/(-10))/(53/(-299450)) is divided by 9?
6
Let j = 8586 - 7585. Calculate the remainder when j is divided by 204.
185
Let f(q) = 18*q**2 + q - 2. Let u be f(2). Suppose -u = -a - a + m, -m - 4 = 0. Let r = 38 - a. What is the remainder when r is divided by 3?
1
Suppose -3*m + 268 = 6*m - 1469. What is the remainder when 3665 is divided by m?
191
Let r be (-4)/(-16)*4*347. Suppose 8*v = 3*v + 2*w + r, -3*w + 83 = v. Calculate the remainder when 208 is divided by v.
66
Suppose -54 + 1266 = -6*n. Let k = 233 + n. What is the remainder when k is divided by 24?
7
Let x be (2 + 0)*8/4. Suppose -w - x*o + 43 = 0, -2*w + 5*o = 8 - 81. What is the remainder when w is divided by 16/((-144)/(-441)) - 33?
7
Suppose -3*q = 11 + 4. Let t(w) = w**2 + w - 2. What is the remainder when (-1 - -10) + -21 + 45 is divided by t(q)?
15
Suppose -3*x = 3*i - 426, 353*x - 166 = -i + 358*x. What is the remainder when 330 is divided by i?
38
Suppose 542*s - 5*m = 545*s - 284, 0 = 4*s + 3*m - 386. Suppose -51 = -2*r - 9. What is the remainder when s is divided by r?
14
What is the remainder when (-9 + -2)/(-1) + 723 is divided by 176?
30
Let m(a) = -a**2 + 131*a - 3609. What is the remainder when 717 is divided by m(43)?
17
What is the remainder when 1197 is divided by (-333)/(-12)*(1735/75 + 72/(-40))?
13
Suppose -5*l - 30 = -2*l. What is the remainder when l*(-2 - 3/(-6)) is divided by (19 + -1)/((1089/726)/((-3)/(-4)))?
6
Let u be (-1)/7 - 29/(-7). Let n be ((-3)/u)/((-15)/80). Suppose -n*w + 98 - 82 = 0. What is the remainder when 13 is divided by w?
1
Suppose 0 = -2*p - 24 - 10. Let k = 22 + p. Suppose 2*w + 176 = 6*w - 2*y, 0 = -k*w - 4*y + 194. What is the remainder when w is divided by 12?
6
What is the remainder when 661 is divided by (-927)/24*-6*16*7/42?
43
Suppose 0 = -5*m - 3*q + 121, 0 = 57*q - 52*q - 35. Calculate the remainder when 2234 is divided by m.
14
Let l(j) = -j**3 + j**2 - 13*j + 6. Let n be l(7). Let i = -127 - n. What is the remainder when i is divided by 51?
48
Let d(n) = -7*n**2 - 347*n - 186. Calculate the remainder when 2094 is divided by d(-49).
4
Suppose -2*p = 2*u + 27 - 7, u - p + 8 = 0. Let h(o) = -3*o + 2. Suppose -6 - 106 = -2*d. Calculate the remainder when d is divided by h(u).
27
Suppose -175*b - 16*b + 2865 = 0. What is the remainder when 26 is divided by b?
11
Let n be (1/2)/(10/20). Suppose 147 = 5*f - 3*b - 89, 5*b = -10. Calculate the remainder when f is divided by (-1)/n*(-64)/4.
14
Suppose 12*c + 3 = 231. What is the remainder when 227 is divided by c?
18
Suppose -42*o - 4*r - 32 = -50*o, -5*r + 9 = -3*o. Suppose 4*l + 5*p = 267, 63 = 2*l + 5*p - 68. What is the remainder when l is divided by o?
5
Suppose -2*n + 607 = 6*h - 1203, -2*h + 2673 = 3*n. Calculate the remainder when n is divided by 15.
2
Calculate the remainder when 1680 is divided by (4 - 7)*((-65)/4)/((-204)/(-272)).
55
Calculate the remainder when 110 is divided by (-2 - 249/(-6)) + 5/(-10).
32
Let h = 616 + -517. Suppose 0 = -3*j + 375 + h. Suppose -160 = -4*p - 0*p. What is the remainder when j is divided by p?
38
Let d = -77 + 145. Suppose 3*u = 3*c - 48, -2*u = 4*c - 7*u - d. Suppose -130 + 2 = -4*h. What is the remainder when h is divided by c?
8
Let m = 22 + 6. What is the remainder when m is divided by ((-151)/3)/(40/(-12)) - 267/2670?
13
Let i = -1370 - -1423. What is the remainder when 635 is divided by i?
52
Suppose -59*m + 12 = -58*m. What is the remainder when -2 + m/4 - -77 is divided by 22?
12
What is the remainder when ((-50)/30)/(90/216) - 100*-53 is divided by 50?
46
Suppose l - 13*l + 84 = -8*l. Calculate the remainder when 691 is divided by l.
19
Suppose l + 86 + 217 = h, h - 291 = -2*l. What is the remainder when h is divided by 60?
59
Suppose 22*r - 39*r + 1100 = 38*r. Calculate the remainder when 1596 is divided by r.
16
Let y(m) = 4 - 11*m - 2*m - 4*m + 2*m. Suppose -5*c - o = -0*c + 21, 10 = -2*c - 2*o. Calculate the remainder when y(c) is divided by 23.
18
Let d(o) = o**3 - 13*o**2 - 46*o - 39. Calculate the remainder when d(18) is divided by 247.
12
Suppose -571*x = -554*x - 357. Let w = -98 + 103. What is the remainder when x is divided by w?
1
Suppose s = -u + 110, 64 = -4*s - u + 516. Suppose 2*k = 3*k + 2*h - s, -4*k = 5*h - 462. Calculate the remainder when k is divided by 32.
22
Let t be 1/(-3)*(-4 + -2). Suppose 68 = t*y - 4*l, -3*y + 126 = 2*y + l. Calcul