remainder when c is divided by r.
12
Let m(d) = -2*d + 2*d + 3 - 6*d. Let t be m(7). Let g = t - -58. Calculate the remainder when g is divided by 5.
4
Suppose -25*c = -6*c - 38. Calculate the remainder when (-163)/((-1 - -3)/c*-1) is divided by ((-105)/25 - -3)/((-2)/55).
31
Suppose 0 = -167*i + 150*i + 3825. What is the remainder when 6747 is divided by i?
222
Suppose 0 = -15*l + 20*l - 8*x - 1163, -4*x = 4*l - 972. Calculate the remainder when l is divided by 35.
29
Let v = -7279 - -7313. What is the remainder when 277 is divided by v?
5
Let h be (114/4)/1*10/15. Suppose 5*i = h + 71. Calculate the remainder when 117 is divided by i.
9
Suppose 34*c - 6324 = -17*c. Calculate the remainder when 350 is divided by c.
102
Suppose 0 = 13*g + 93 - 535. Calculate the remainder when 291 is divided by g.
19
Let z(g) = g**3 + 36*g**2 - 66*g - 46. Let k be z(-37). Let l = k + -383. Calculate the remainder when l is divided by 81.
77
What is the remainder when (9007 - 0)/(((-10 - -9)*9)/(-9)) is divided by 4497?
13
Suppose 4*c = 526 - 2458. Let w = c + 872. What is the remainder when w is divided by 10?
9
Suppose g - l - 22068 = 0, -2*g - 94*l = -92*l - 44136. What is the remainder when g is divided by 29?
28
Let b = 53 - 43. Suppose -4*j - 2*z - b = -0*j, -5*z = 2*j + 17. What is the remainder when 36 is divided by (j - -8)*9/(-3)*-1?
15
Let w(l) = 4*l**2 + 349*l + 5727. Calculate the remainder when w(-16) is divided by 290.
7
Suppose 2*s = 9 - 13. Suppose 11*d - 32 = 3*d. What is the remainder when 37 is divided by d*(5 - (5 + s))?
5
Let l(w) = 114*w**3 - 2*w**2 - 16*w + 17. Calculate the remainder when l(1) is divided by 84.
29
Let t(l) = -l**2 + 20*l - 94. Let r be t(11). Suppose -r*d - 20 = 0, 7*k = 3*k - 3*d + 212. Calculate the remainder when 221 is divided by k.
53
Suppose 317 + 748 = m - 544. What is the remainder when m is divided by 792?
25
Suppose w = 79 - 64. Calculate the remainder when 719 is divided by w.
14
Let q be (3 - 16) + 7 + -6. What is the remainder when (0 + -1)*171/(-3) is divided by (317/(-11) + q/66)/(-1)?
28
Let k be -3 + (-2 - -3 - (-6 - -3)). Let c(f) = 39*f**2 + 4*f - 4. Let y be c(k). Suppose 34*l + 105 = y*l. Calculate the remainder when 31 is divided by l.
10
Let y(p) = -p**2 + 41*p - 60. Let f be y(15). Suppose 18*q - 7*q - f = 0. What is the remainder when 446 is divided by q?
26
Let u be (-50)/15*((-96)/10 + -3). Suppose 5*s + u = -9*s. Calculate the remainder when (-263)/s - (-36)/(-54) is divided by 31.
25
Suppose -8 = 2*f + 2, -4*t = -4*f - 24. Suppose 3 + t = b. Suppose -4*c + 59 = -3*r, 4*c - b*r = -c + 73. Calculate the remainder when 32 is divided by c.
15
Let r(p) = 4*p**3 + 61*p**2 + 17*p + 30. Let f be r(-15). Suppose f = -3*j + i + 35 + 153, -3*i + 204 = 3*j. Calculate the remainder when 190 is divided by j.
62
Let n(p) = -p**2 - 8*p + 13. Let q be (-5)/(30/279)*(-2)/(-3). Let l = 38 + q. What is the remainder when l is divided by n(-9)?
3
Suppose 0*l + 10 = 5*l. Let j be (-20608)/(-2072) + (-2)/(-37). Suppose l*x + j = 0, 2*x - 63 = -3*k + 2*k. Calculate the remainder when k is divided by 19.
16
Let t be ((-19)/(-57))/((-1)/(-6) - 0). Suppose -7*i = -11*i + 7*n + 1189, n - 617 = -t*i. Calculate the remainder when i is divided by 100.
6
Calculate the remainder when (-1 + -956)*(-64)/192 is divided by 292.
27
Calculate the remainder when (-47)/((-940)/(-400))*327*16/(-120) is divided by (-4)/(-14) - 528/(-14).
36
Let n(s) = 30 + 33 + 8*s - 60. Suppose 23*p = 22*p + 3. What is the remainder when 80 is divided by n(p)?
26
Suppose 132*h - 7410 + 1014 = -32*h. What is the remainder when 2403 is divided by h?
24
Suppose 4*c = 2*m - 8, 5 = -m - 5*c + 2. Let z be ((-39)/12)/(m/(-8)). Let h(a) = -a**3 + 13*a**2 + a + 10. Calculate the remainder when 111 is divided by h(z).
19
Suppose 5*p + 7236 = 6*d + 1775, 2*d - 1823 = -p. What is the remainder when d is divided by 182?
1
Let r(o) be the first derivative of 8/3*o**3 - 4*o**2 - o - 1/4*o**4 - 6. Calculate the remainder when 44 is divided by r(6).
21
Let w = -31 + 26. Let t(v) = 4*v + 23. Let h be t(w). Suppose 0 = -h*f, -5*f + 16 = 3*s - s. Calculate the remainder when 61 is divided by s.
5
Suppose -3*b + 2*n + 10 = 0, 3*n - 18 + 12 = b. Calculate the remainder when ((-9)/(-6))/((-3)/(-56)) is divided by b.
4
Let o = 3 + 316. What is the remainder when 632 is divided by o?
313
Let z be 8/(-6)*24/(-16). Let n be 3 + 1*(1 + -2). Suppose 130 = z*b - n*x, -2*x + 33 = 5*b - 285. Calculate the remainder when b is divided by 5.
4
Let m = -61 - -106. Calculate the remainder when ((-7427)/(-3183))/(14/438) is divided by m.
28
Let k be 3*(-2 + 2 + 388/3). Suppose -3*m = -4*n - 7*m + k, -2*n + 4*m = -170. Let g = n - 42. What is the remainder when g is divided by 19?
13
Suppose 3*a = 24*a - 294. Suppose -70 = -12*u + a. What is the remainder when 82 is divided by u?
5
Suppose 13*i - 26 = 39. Suppose 0 = -2*c + 7 - i, 0 = -5*h + c + 959. What is the remainder when h is divided by 15?
12
Suppose -4*u + f = 25, -u + 10 = 3*f - 0. Let n(z) = z**2 + 35*z + 189. Calculate the remainder when 194 is divided by n(u).
38
Suppose -p + 58 = 3*d - 17, 0 = -5*d + 5*p + 145. Calculate the remainder when 464 is divided by d.
22
Suppose -55*d - 1346 + 77136 = 0. What is the remainder when d is divided by 51?
1
Suppose -3*o - 6 - 14 = -2*l, -4*l + 40 = o. Let h(j) = j**2 - 10*j + 22. Let b be h(5). What is the remainder when 38 is divided by 4*l/(-12)*b?
8
Suppose -3*x + 3471 = -2*v, -1162 = -x + 2*v - 3*v. What is the remainder when x is divided by 20?
19
Suppose -4*f - 288 = 3*a, 2*f - 2*a - 2*a = -122. Let s = f - -74. Suppose 0 = s*k - 0*k - 225. What is the remainder when k is divided by 17?
11
Suppose 5*b + 2*s + 106 = 0, 5*b - 4*s + 8*s = -112. Let a = 121 + b. Calculate the remainder when a is divided by 21.
17
Suppose 62*m = -352*m + 1242. Calculate the remainder when 1 - 0/(-1) - -71 is divided by m.
0
Let v be 1 + 1 + -3 + 2. Let c(m) = 26*m. Let h = -30 + 37. What is the remainder when c(v) is divided by h?
5
Let q = -99 - -117. Suppose -42 = -2*x - 2*w, -2*w + 61 = 4*x - x. What is the remainder when x is divided by q?
1
Suppose 17*z - 14*z = -4*f + 19, -5*z = -5. Suppose -4*j + 256 = f*v, -j = 5*v - 4*j - 328. What is the remainder when v is divided by 24?
17
Suppose 2067 - 114 = 13*a - 4*a. What is the remainder when a is divided by 172?
45
Let x(c) = -c**3 + c + 1. Let y(d) = -3*d**3 + 10*d**2 - d + 14. Let h(w) = -4*x(w) + y(w). What is the remainder when h(-10) is divided by (-8)/28 + 312/14?
16
Calculate the remainder when 33 is divided by (-35)/70*-10*3.
3
Suppose 6*g - 103 = -4*s - 33, -3*g = 3*s - 45. Let x(k) = k**3 - 7*k**2 + 9*k - 1. Calculate the remainder when x(6) is divided by g.
2
Suppose -15*w - 14*w + 1388 + 5050 = 0. Calculate the remainder when w is divided by 80.
62
Let s(d) be the third derivative of -3*d**2 + 0*d + 1/4*d**4 + 0 + 1/3*d**3. Calculate the remainder when 40 is divided by s(2).
12
Suppose l = -3*z + 117, -2*l + 7*l = -3*z + 585. What is the remainder when 449 is divided by l?
98
Let a(x) = x**2 - 9*x - 22. Let o be (-4)/(-2) + (-16 - -24). Let y be a(o). Let h = y - -23. What is the remainder when 31 is divided by h?
9
Suppose 4*o - 108 = 5*h, -4*o + 143 = -h + 35. Suppose 3*f = -9 + 72. Calculate the remainder when f is divided by 16/6 + o/81.
0
Let q(n) = -4*n**2 - 17*n - 6. Let p(u) = -u**2 - u - 1. Let l(c) = 3*p(c) - q(c). What is the remainder when l(-20) is divided by 40?
3
Let v = -336 + 334. Calculate the remainder when 55 is divided by 2*(-1)/v*3.
1
Let m(o) = -326*o + 2. Let j be m(4). Let t = 1065 - 933. What is the remainder when (-24)/t + j/(-22) is divided by 16?
11
Let t = -16617 + 20452. Calculate the remainder when t is divided by 1906.
23
Suppose -258*q + 484 = -32. What is the remainder when 976 is divided by q?
0
What is the remainder when 490 is divided by 68/238 - (3 + 244/(-28))?
4
What is the remainder when 2350 is divided by 176/264 + (-64)/(-3)?
18
Suppose 249*c - 136349 = 190*c. Calculate the remainder when c is divided by 8.
7
Let d(a) = a**2 + a + 4. Let t be d(-4). Suppose t = 2*m - 2. Suppose 5*h - 75 = -0*h - 5*o, 0 = -5*o - 25. What is the remainder when h is divided by m?
2
Let h = 54 - -107. What is th