4
Let r = 8594 + -8442. What is the remainder when r is divided by 36?
8
Let j = 1772 + -1234. What is the remainder when j is divided by 24?
10
Suppose -53*t - 20*t + 2409 = 0. Calculate the remainder when 753 is divided by t.
27
Suppose -5*h - 9 = 2*t - 226, 0 = -t + 5*h + 146. Let d = -82 + t. Calculate the remainder when d is divided by 11.
6
Let s(g) = g**2 + 12*g - 519. Calculate the remainder when s(-44) is divided by 8.
1
Suppose -2*h = -i + 1, 3*i - 28 + 25 = 0. Suppose h = 3*o - 12*z + 7*z - 98, 5*z + 20 = 0. What is the remainder when o is divided by 2?
0
What is the remainder when 4*630/(-216)*-6 is divided by 69?
1
Let t(s) = -s**3 + 44*s**2 + 196*s - 101. Calculate the remainder when 6004 is divided by t(48).
89
Suppose -4*c - 111 + 367 = 0. Calculate the remainder when c is divided by (-2)/(36/(-303)) + (-22)/(-132).
13
Let u be 3*-33 - (-2 - 0). Let t = -67 - u. Suppose p = -4*j + 164, 8*j = 2*p + 1673 - 1697. What is the remainder when p is divided by t?
28
Suppose 6*w - 19 = -1. Let s(k) = 8*k**2 + 8*k + 4. Let b be s(w). Suppose 3*h = -z + 6*z + b, 2*h = -5*z + 75. Calculate the remainder when h is divided by 6.
5
Suppose 5*g - 3 - 7 = 0. Let p be (-1)/g - 0 - 13750/(-44). Suppose 18*a - 6*a = p. What is the remainder when 51 is divided by a?
25
Suppose -7*o = -3*o - 56. Suppose 5*j = -6*p - 68 - 11, p - 18 = 2*j. Calculate the remainder when 77 is divided by 28 + (-2)/(-6)*(j + o).
19
Let j(m) = 191*m - 2. Let c be j(-2). Let x = -252 - c. What is the remainder when 3/(3/x*2) is divided by 23?
20
Let i(g) = 11*g + 5. Let l be (369/(-63))/((-5)/35). Suppose 5 = -2*w + l. What is the remainder when i(6) is divided by w?
17
Suppose 2*k - 11340 = -5*l, -433*l = -429*l - 3*k - 9095. What is the remainder when l is divided by 4?
2
Let o(s) = 2*s + 22. Let f be o(-5). Let r(i) = -39*i - 2. What is the remainder when r(-2) is divided by f*(-11)/((-33)/4)?
12
Suppose -45*b + 12*b - 55013 + 55376 = 0. What is the remainder when 1715 is divided by b?
10
Let r be -1 - (80/28 + -2)*-7. Suppose 0 = r*q - 972 + 922. What is the remainder when 318 is divided by q?
8
Let f = 655 - 652. Suppose f*v + 4*n + 60 - 924 = 0, 4*v + 4*n - 1148 = 0. What is the remainder when v is divided by 11?
9
Suppose 6*s + 573 = -453. Let m = -164 - s. What is the remainder when m is divided by 2?
1
Let j(w) = -84*w - 2310. What is the remainder when 122 is divided by j(-28)?
38
Suppose 3*c = 4*n + 3, -n + 4*c - 10 = 7. Let m be (663/52)/(n/20). Suppose 6*s + m = 11*s. Calculate the remainder when s is divided by 11.
6
Calculate the remainder when (9/(-4))/(252/(-139440)) is divided by 104.
101
Let b(v) = -159*v - 43. Calculate the remainder when 870 is divided by b(-2).
45
Suppose -5*j - 3*w + 5*w = -202, 106 = 3*j - 5*w. Let g = j + -29. What is the remainder when 33 is divided by (3 + -5 + -2)*g/(-4)?
7
Suppose 17*z = 3*z + z. Calculate the remainder when 249 is divided by -21*(z + (-2 - (1 - 1))).
39
Let i be (52/(-12))/((-2)/6). Suppose -i*p + 6513 = -1521. What is the remainder when p is divided by 10?
8
Suppose 3*l - 16 = -5*b, 0 = -l - 0*b + b + 16. Let n be ((-18)/(-15))/(2 + (-264)/135). Let h = n + -5. What is the remainder when h is divided by l?
10
Let t be 6 + 3 - (-1 - -6). Let j = 14 + t. Suppose 4*w - 4*l - 368 = 0, 430 = 5*w - 2*l + 3*l. What is the remainder when w is divided by j?
15
Suppose 14*z + 27*z - 45*z = -1392. What is the remainder when 376 is divided by z?
28
Let w(m) be the second derivative of -m**3/6 + 2*m**2 + 3*m + 2. Let t be -5 - 1*2/(-1). What is the remainder when w(t) is divided by 2?
1
Let d be -15 - ((-6)/1 + 4). What is the remainder when 160 is divided by (-4)/3*-18 - (d + 13)?
16
Let b be -1*(6 - 3) + (0 - -29). Suppose 20*w - b*w = -414. Calculate the remainder when w is divided by 18.
15
Let m(z) = 41*z**2 + 146*z - 1. Calculate the remainder when 3122 is divided by m(-4).
69
Let v = 15005 + -13730. What is the remainder when v is divided by 41?
4
Let f = -3556 + 3707. Let o = 230 + -153. What is the remainder when f is divided by o?
74
Suppose -63*f + 46 + 80 = 0. Suppose 952 = 2*x + f*c + 2*c, 5*x = -c + 2416. Calculate the remainder when x is divided by 54.
52
Let s = 8761 - 8500. Calculate the remainder when 262 is divided by s.
1
Suppose 4*g - 108 = 56. Let j(r) = -r**2 - 125*r + 1226. What is the remainder when g is divided by j(9)?
1
Let x(l) = 6*l**2 + 3*l + 14. Suppose 15*v - 2*v = -13. Let s be ((-5)/(-15 - 0))/(v/9). What is the remainder when 235 is divided by x(s)?
58
Let t(c) = 9*c**2 + 35*c + 36. Let i be t(-1). Suppose i*a + 281 - 681 = 0. Let h = 21 - -1. What is the remainder when a is divided by h?
18
Suppose 0 = -2*m + n + 116, -2*n + 333 - 25 = 5*m. Let i be 0 - (0 - (-2 + 4)). Let o = 14 + i. What is the remainder when m is divided by o?
12
Suppose 7 = 4*n - 5. Suppose n = -3*i + 57. What is the remainder when 79 is divided by i*(42/(-49))/(4/(-7))?
25
Let u be (-5 + -7 + 11)*-11. Suppose -9*o - 4*h - 336 = -u*o, 3*o - 508 = 2*h. What is the remainder when o is divided by 9?
8
Let g(t) = 77*t + 77*t - 153*t + 68. What is the remainder when g(6) is divided by 8?
2
Let y(t) = -t**3 + 16*t**2 - 14*t + 37. Let z(x) = -x**2 - 3*x + 58. Calculate the remainder when y(14) is divided by z(-7).
23
Calculate the remainder when (-119)/(4/(-16 - 4))*(-360)/(-84) is divided by 841.
27
Let g(i) = 313*i + 1258. Calculate the remainder when 1829 is divided by g(-4).
5
Let q be (-225)/(-63) - (17/(-7) - -2). Suppose 0 = q*f - c - 31, -f - 2*f + 26 = 2*c. Calculate the remainder when 37 is divided by f.
5
Suppose 151*y - 60*y = 118118. What is the remainder when y is divided by 42?
38
Let l be (176/(-33))/((-4)/6). Suppose l*r + 148 = 6*r. What is the remainder when 32 is divided by 2 + r/(-5) - (-4)/20?
15
Let j = -109 + 112. Calculate the remainder when (-3)/((-1)/j - (-30)/252) is divided by 7.
0
Suppose -372 = -6*b + 516. Suppose -f = 4*w - 57, -5*f = 4*w - b - 89. What is the remainder when 222 is divided by f?
42
Let j(t) = 47*t + 813. Calculate the remainder when 163 is divided by j(-16).
41
Let t be ((-45)/9)/(1/(-75)). Let h = -346 + t. What is the remainder when 76 is divided by h?
18
Let s be 28/(-21)*3 - -9. Suppose -3*n - 2*t + 22 = 0, -s*t + 0*t + 41 = 4*n. What is the remainder when 47 is divided by n?
3
Suppose -3*i - 21516 = -4*i + 2*p, -3*i + 3*p + 64548 = 0. Suppose i = c + 43*c. What is the remainder when c is divided by 17?
13
Suppose 0 = b, -4*b + 20 = 2*h - 30. What is the remainder when ((-10)/(-55) - (-1611)/33) + -3 is divided by h?
21
Let h = 283 - 228. Let b = 71 - h. What is the remainder when 62 is divided by b?
14
Suppose 340*z = 51*z + 88723. What is the remainder when z is divided by 80?
67
Suppose 3*q - 4 = 2. Suppose -q*t + 35 + 53 = 0. Let b = 47 - 24. What is the remainder when t is divided by b?
21
Let y(l) = 7 + 9*l + 3 + 5 - 3 + 3. Calculate the remainder when 42 is divided by y(1).
18
Suppose -2*q + 829 = n, 3*q - 5*n - 130 = 1107. Calculate the remainder when 2489 is divided by q.
5
Let g = 4 - 5. Let c(k) = 0*k + 15*k**2 + 126*k**2 - 3 - 4*k + 7*k - 6*k. What is the remainder when c(g) is divided by 24?
21
Suppose 247 = 3*h - 2*a - 496, -253 = -h + 2*a. Calculate the remainder when h is divided by 38.
17
Suppose -6*x - 12 = -3*x, -74 = -3*r + 5*x. Suppose -16*u - 67 = -152 - 171. Calculate the remainder when r is divided by u.
2
Let i = -3190 + 3513. What is the remainder when i is divided by 49?
29
Let g = 16 + -12. Let a be 1/(((-4)/(-5))/g). Suppose -a*y = 2*r - 145, -5*y + 5*r + 180 = -0*r. What is the remainder when y is divided by 11?
9
Suppose -880 = -458*y + 415*y + 1915. Calculate the remainder when 6107 is divided by y.
62
Let l be ((-3)/6)/((-1)/22). Let q = -3 + l. Suppose 4*s - 112 = 2*m, -s + 29 = 5*m + 1. Calculate the remainder when s is divided by q.
4
Let s(r) = r**2 + 2*r. Suppose -4*u = -c - 1297, -2*c = -3*u - c + 974. Let w = u + -228. What is the remainder when w is divided by s(4)?
23
Let m(a) = 2*a**2 - 18*a + 2. Let r be m(9). Suppose -4*z + 5*t = 13, r*t + 0*t = 4*z - 2. Let l = -73 + 80. Calculate the remainder when l is divided by z.
1
Let u = 18 + 40. Let k = u - 49. Suppose -i + 2*i - k = 0. Calculate the remainder when 42 is divided