 the remainder when (12/(-18))/((-4)/2358) is divided by p?
19
Let b(a) = -3*a + 29. Suppose 11*i = 16*i - 175. Suppose k - i = -4*k. What is the remainder when b(k) is divided by 7?
1
Let v be (-8)/1 + (-1 - -5). Let o be 7/4 - v/16 - -1. Suppose -4*z = -3*z + o, 5*r - 91 = -3*z. Calculate the remainder when 35 is divided by r.
15
Let y(g) = 132*g + 898. What is the remainder when 410 is divided by y(-4)?
40
Suppose 92*d = -8*d + 43100. Calculate the remainder when d is divided by 210.
11
Let u(v) be the second derivative of 13*v**4/12 + 50*v**3/3 - 7*v**2 - 3*v - 74. Calculate the remainder when u(-9) is divided by 20.
19
Let c(x) = 26*x**2 + 582*x + 273. Calculate the remainder when ((-26)/(-6))/(1/24) is divided by c(-22).
51
Let i = -46 + 67. Suppose -2*r = i - 81. Suppose -2 = -2*m - 4*h - 0, -2*m + 3*h + r = 0. What is the remainder when 15 is divided by m?
6
Let d(f) = -109*f**3 - 6*f**2 - 15*f + 154. What is the remainder when d(-6) is divided by 25?
22
Let h = -79827 - -79853. Let g(n) = -n**3 - 3*n**2 - 7*n - 1. What is the remainder when g(-6) is divided by h?
19
Let v = 16515 + -16508. Suppose -5*a = -4*m + 497, 0 = 3*m + 3*a - a - 367. What is the remainder when m is divided by v?
4
Let f be (-18)/(-3)*74*4/(-16). Let d = 131 + f. Calculate the remainder when d is divided by 19.
1
Let u(l) = 2*l**2 + 260*l - 1148. Calculate the remainder when u(-145) is divided by 28.
10
Let z(o) = -2*o + 31. Let j be z(11). Suppose 8 + 235 = j*f. Let i = -32 - -109. Calculate the remainder when i is divided by f.
23
Suppose -v - 2*v + 326 = -u, u = -2*v + 219. Suppose 2*f - 5*d + 56 = 3*f, 112 = 2*f + 4*d. Let n = v - f. What is the remainder when n is divided by 11?
9
Suppose 1257*n = 1274*n - 782. What is the remainder when 3448 is divided by n?
44
Let t = -60909 + 60920. Suppose -2*c + 2*r + 100 + 188 = 0, c = -r + 136. What is the remainder when c is divided by t?
8
Let s be ((-1)/7)/(1/(-7)). Calculate the remainder when 18 is divided by s - 2 - (26 + -37).
8
Suppose 128*h = 175*h - 134091. Calculate the remainder when h is divided by 8.
5
Let b = -1398 + 2412. Suppose -3*u - 10*u + b = 0. What is the remainder when 621 is divided by u?
75
Let j(v) = 6*v + 79. Let r be j(-9). Suppose 10 = 2*l, r = 2*g - 4*l - 29. What is the remainder when g is divided by 21?
16
Suppose 17 - 6 = -11*b. What is the remainder when (99 - 3) + b + -3 is divided by 19?
16
Suppose -5*u + 51 = 3*s, -2*s + 18 = -s + 2*u. Suppose -6*z + z + 53 = 2*g, -4*g = 4*z - 124. Calculate the remainder when 99*4/s*3 is divided by g.
31
Let q = -849 + 957. What is the remainder when 2050 is divided by q?
106
Let z = -21 + 24. Let l(g) = -2 + 12*g**3 + g**z - 3*g**3 + 3*g - g**2. Calculate the remainder when l(1) is divided by 7.
3
Let p(i) = -i**2 - 10*i + 102. Let x be p(-16). Suppose x*m - 1848 + 72 = 0. What is the remainder when m is divided by 13?
10
Let l(h) = -3*h + 66. Let q be l(7). Suppose -6*p - q = -195. What is the remainder when p is divided by 10?
5
Suppose 7*c - 197 + 43 = 0. What is the remainder when (5 - 1) + -4 - (-78 + 5) is divided by c?
7
Let k = -2512 - -5425. What is the remainder when k is divided by 94?
93
Let u = -15 + 17. Suppose u*h - 3 + 7 = -4*i, 4*h - 3*i - 14 = 0. What is the remainder when 2 is divided by h?
0
Let h be 3 + 7/9 + (-24)/(-108). Suppose 5*x - 480 = v, -h*x - 5*v = -302 - 82. Let l = x - 76. What is the remainder when 97 is divided by l?
17
Suppose s = 4*s - 5*u - 563, u = -4. Suppose s = 14*k - 85. Suppose 5*r + 3*c = -5 + 171, -4*r - 5*c + 125 = 0. Calculate the remainder when r is divided by k.
16
Suppose 0 = n - 2*y - 2282 + 570, -6837 = -4*n - 3*y. What is the remainder when n is divided by 107?
105
Let c(f) = 10*f**2 + 65*f - 205. Calculate the remainder when 297 is divided by c(3).
57
Calculate the remainder when (-1168)/(-40) + (-114)/570 is divided by (-8)/((2*-1)/4).
13
Let z(f) = 2*f**3 + 16*f**2 - f - 95. Calculate the remainder when 256 is divided by z(-7).
6
Suppose 3*z - 129 = -0*z. Let r = -134 + 137. Calculate the remainder when z is divided by (-198)/(-27)*r/2.
10
Calculate the remainder when (1 - 2) + -33 + 9 + 693 is divided by 24.
20
Suppose -1368 = 3*i - 6*i - a, -3*i - 5*a = -1356. What is the remainder when i is divided by 46?
43
Suppose -1241*d + 1235*d = -24. Calculate the remainder when 97 is divided by d.
1
Let i(h) = h**3 - 46*h + 161. Let g be (-1)/(-3 - 104/(-36)). Let w = 22 + g. Calculate the remainder when i(5) is divided by w.
25
Suppose 5*g - 165 = 5*q, -2*q + 45 = 4*g - 81. Suppose 2*j + j - 27 = 0. Calculate the remainder when g is divided by j.
5
Suppose 9*u - 4*u + 5*w - 495 = 0, 2*w = 0. What is the remainder when u*((-145)/(-29) - 26/6) is divided by 43?
23
Calculate the remainder when (-45837)/(-55) - -8 - 2/5 is divided by 65.
61
Let p(k) = -2*k**2 + 208*k + 442. What is the remainder when 469 is divided by p(105)?
5
Let w = -2845 - -2857. Let h = -7 + 66. What is the remainder when h is divided by w?
11
Suppose 8*b = 4*g + 3*b - 10, -2 = -b. Suppose -z - 5*c - 29 = -3*z, -g*z + 160 = 5*c. What is the remainder when 149 is divided by z?
14
Suppose 4*m - 2*u = 8*m - 674, -478 = -3*m + 4*u. Suppose 127*z + m = 128*z. What is the remainder when z is divided by 14?
12
Suppose 359*o + 353*o = 678*o + 4114. Calculate the remainder when 9677 is divided by o.
118
Calculate the remainder when 116832/68*1 - 6*(-4)/(-204) is divided by 114.
8
Let h = -4 - -18. Calculate the remainder when (51 - (-1 + -1)) + (7 - -63)/(-10) is divided by h.
4
Let f = 29 + -1. Let p = 947 - 838. What is the remainder when p is divided by f?
25
Suppose -275*k + 281*k - 28746 = 0. Suppose -25*j = -k + 1666. Let l(b) = -b**3 - 7*b**2 - 2*b - 5. Calculate the remainder when j is divided by l(-7).
8
Suppose 2322*l = 2416*l - 5264. What is the remainder when 772 is divided by l?
44
Suppose 2*q + 558 = -4*w, 3*q + 3*w - 537 = 5*q. Let h = q + 362. Calculate the remainder when h is divided by 6.
5
Suppose 0 = 5*r - 14 + 14. Suppose 3*y + w - 201 = r, 0*w - 134 = -2*y - w. Suppose y = 4*m - 33. What is the remainder when m is divided by 9?
7
Suppose 5*h = 2*q - 184, -2 = -2*q - 3*h + 166. Calculate the remainder when q is divided by 25.
12
Let x(z) = z**2 + 5*z. Suppose -3*y + b - 156 = -2*b, -y - 5*b = 22. Let c = -25 - y. What is the remainder when c is divided by x(-6)?
4
Suppose 4*p + 2*b - 3*b = 72, -3*b = 0. Let w be 6/108*454 - 4/p. Let t = w + 1. What is the remainder when t is divided by 14?
12
Let a(n) = n**3 - n + 420. Let z(h) = -h**3 - 22*h**2 + 3*h + 66. Let f be z(-22). What is the remainder when a(f) is divided by 17?
12
Let q = 3 + -3. Suppose -5*i - 5*g = -q*i - 20, -12 = -3*i + 2*g. Suppose 46 = 3*n - 2*a, -8*a - 25 = -3*a. What is the remainder when n is divided by i?
0
Let n be (-6)/27 - 533/(-9). Let b be ((-8)/14)/((-20)/(-1330)). Let j = n + b. What is the remainder when 55 is divided by j?
13
Let f be (-60)/(-80) + (-1)/(-4). What is the remainder when ((4*51)/3)/f is divided by 24?
20
Let g be 217/(-77) - 4/22. Suppose o + 9 = 3*r - 15, 3*r = -o + 30. Calculate the remainder when (-3)/3*(1 + 78/g) is divided by r.
7
Suppose -253*z = -252*z - 19. Calculate the remainder when 558/(-12)*2/(-3) is divided by z.
12
Suppose 0 = 35*p - 150091 - 139948 + 100479. Calculate the remainder when p is divided by 129.
127
Calculate the remainder when (1388/6)/2 - (15 + 480/(-36)) is divided by 2.
0
Suppose 3*m + 3*f + 2*f = 27, 9 = -3*f. What is the remainder when 2233/m + (-12)/8 is divided by 32?
30
Let r be 10/40 - 16005/(-12). Calculate the remainder when r/69*3/2 is divided by 3.
2
Suppose 0*p + 5*p = 10. What is the remainder when 2/(2/3) + (-3 - -50) is divided by 2/p*(17 + 2)?
12
Suppose -5*t - 3*d + 509 = 0, -4*t + 354 + 64 = -3*d. What is the remainder when t is divided by 1*((-81)/3)/(-1)?
22
Suppose 3 = 54*b + 327. Let t(r) = -r**3 - 6*r**2 - 3*r + 11. Calculate the remainder when t(b) is divided by 19.
10
Suppose 185*o - 73597 - 69426 = 12007. Calculate the remainder when o is divided by 6.
4
Suppose -3*v + 2*v = -975. Suppose -5*d - v - 20 = -4*y, d + y + 208 = 0. Let r = d - -292. What is the remainder when r is divided by 10?
9
Let y(s) = -s**2 - 10*s + 17. Let l be y(-18). Let x = 154 + l. Cal