ided by 4.
2
Let d be 2/8 + (-627)/76. What is the remainder when 13*(d/28 + 27/21) is divided by 3?
1
Let z = -75 + 77. What is the remainder when 21 + z + -5 + 3 is divided by 9?
3
Suppose -2*q + 4*b = -32, 9*q + b + 17 = 11*q. What is the remainder when 257 is divided by q?
5
Suppose 0 = -3*c - 118 + 25. Let v = -19 - c. Calculate the remainder when v is divided by 4.
0
Let d = 53 + -94. Let q = -31 - d. What is the remainder when 48 is divided by q?
8
Suppose -4*p + 8*p - 224 = -3*g, g - 78 = -2*p. Calculate the remainder when g is divided by 19.
11
Suppose -2*z - 9 = -4*t + 199, 4*t = z + 206. Suppose -197 - t = -4*o. Suppose 0 = -0*y - 2*y + o. Calculate the remainder when 90 is divided by y.
28
Let q = 1219 - 1181. What is the remainder when q is divided by 18?
2
Let b be 6/(-4) - 24/(-16). Suppose -c = -3*l, 0 = -b*l + l - 1. What is the remainder when c is divided by 2?
1
Suppose 0*y + 4*y = -44. Let r = 11 + y. Suppose m - 5*m + 152 = r. Calculate the remainder when m is divided by 20.
18
Suppose 9*b = 2*b + 112. Calculate the remainder when 159 is divided by b.
15
Suppose 338 = o - 4*t - 97, 3*o - 2*t = 1355. What is the remainder when o is divided by 20?
15
Let i be -24*(-3)/6*3/2. Suppose 4*k - 10 - i = 0. Calculate the remainder when 51 is divided by k.
2
Let q = -52 - -57. Suppose 2*p + 0*d + 2 = -2*d, -4*p + q = d. Calculate the remainder when p is divided by 2.
0
Let a(r) = -150*r + 53. What is the remainder when a(-3) is divided by 11?
8
Let d(z) = -z + 12. Let u be d(-10). Suppose u*m - 12*m = 1080. What is the remainder when m is divided by 28?
24
Suppose -k = -4*k + 15. Suppose 0*c + 5*c = -5*h + 50, -k*c - h = -62. Calculate the remainder when 36 is divided by c.
10
Suppose 71 = i + n, 0 = 5*i - 0*n - 3*n - 379. Let c = -47 + 73. What is the remainder when i is divided by c?
22
Let h = 66 - 61. Suppose h*g - 25 = 0, -14 + 6 = -r + g. What is the remainder when 37 is divided by r?
11
Let p = 56 + -44. What is the remainder when 44 is divided by p?
8
Let p(t) = -t**3 + 8*t**2 - 11*t + 23. What is the remainder when p(6) is divided by (-1)/(-2)*68/2?
12
Suppose 4*v = v + 15. Suppose c + 5 = 0, -v*c + 2*c = 4*u - 281. Calculate the remainder when u is divided by 19.
17
Let j(u) = -30*u**2 - 12*u. Let m(w) = -12*w**2 - 5*w. Let p(b) = -5*j(b) + 12*m(b). Let d = 1 + 0. What is the remainder when 22 is divided by p(d)?
4
Suppose 5*j = -c + 17 - 4, 3*c = -j + 67. What is the remainder when 270 is divided by c?
17
Let k = 838 - 393. Calculate the remainder when k is divided by 113.
106
Suppose r + y - 45 = 0, 128*y - 131*y = 4*r - 183. Calculate the remainder when 520 is divided by r.
40
Suppose -4*u - 18 = -10*u. Suppose 4*s - 3*r = -4*r + 29, -u*r - 9 = 0. Calculate the remainder when 36 is divided by s.
4
Let n be 0*(-4 + (-27)/(-6)). Suppose -4*h + 40 + 0 = n. Calculate the remainder when 14 is divided by h.
4
Let g(p) = -p**3 + 10*p**2 - 8*p - 6. Suppose -4*x = -4*b - 84, -b = -x + b + 20. What is the remainder when g(7) is divided by x?
19
Suppose 150 = 5*p + 6*h - 11*h, 0 = -2*p - 4*h + 66. What is the remainder when p is divided by 3?
1
Suppose 3*q - 4*l = 109, 2*l - 5*l = 3*q - 81. Suppose -4*t = -103*z + 104*z - 68, -5*t - 3*z = -92. Calculate the remainder when (1*4)/(2/q) is divided by t.
14
Let b = 37 + 7. Suppose -4*l + b = -4*x + 204, -4*x + 187 = 5*l. What is the remainder when x is divided by 15?
13
Let h = -26 + 19. What is the remainder when 80 is divided by (-18)/(-42) - 151/h?
14
Let a(b) be the third derivative of b**6/120 - b**4/12 + b**3 - 14*b**2. What is the remainder when 16 is divided by a(0)?
4
Suppose 4*x + 496 = 4*m, -x = 4*m + 67 + 77. Calculate the remainder when 35 is divided by 89/4 - (-32)/x.
13
Let j(l) = 2*l**2 + 31*l + 51. Calculate the remainder when j(-14) is divided by 3.
0
Suppose -g + 16 = 7. Suppose 3*t + 5*l - 3 - 21 = 0, 2*t - l = 3. What is the remainder when g is divided by t?
0
Let f = 17 + -15. Suppose f*y - b + 53 = 5*y, -5*y = 2*b - 89. Calculate the remainder when y is divided by 6.
5
What is the remainder when 272/2 - -5*(-5)/(-25) is divided by 20?
17
Let f = 373 + -262. Calculate the remainder when f is divided by 30.
21
Let x = 959 + -882. What is the remainder when 99 is divided by x?
22
Suppose 0 = l - 4*u - 51, -4*l - u + 78 = -75. What is the remainder when l is divided by 11?
6
Suppose -3*y + 3*n - 63 = 0, -4*n = 3*y + 22 + 20. Let f be (-3)/y - (-452)/24. Suppose 3 = -r + f. What is the remainder when 47 is divided by r?
15
Suppose w - 4*w = 0. Let s(k) = -k**2 + 10. Let n be s(w). Let o = n - -25. Calculate the remainder when o is divided by 19.
16
Suppose -12*z - 90 + 234 = 0. What is the remainder when 19 is divided by z?
7
Calculate the remainder when 83 is divided by (-12)/(-7)*(-56)/(-3).
19
Calculate the remainder when 87 is divided by 45/(-2)*106/(-159).
12
Let l = -414 - -428. What is the remainder when 823 is divided by l?
11
Let q(a) = -a**3 + 8*a**2 + 13. Suppose -2*h - 5*c - 4 + 46 = 0, -c + 66 = 4*h. What is the remainder when q(7) is divided by h?
14
Let h(w) = -21*w - 176. What is the remainder when h(-15) is divided by 34?
3
Let a be (-9 - -1)/(16/(-8)). Suppose a*p - 20 = -0*p. Calculate the remainder when 6 is divided by p.
1
Calculate the remainder when (-2485)/(-4) + (14/8 - 2) is divided by 52.
49
Suppose 138*z = 104*z + 8058. Calculate the remainder when z is divided by 76.
9
Let q(a) = a**3 - a**2 - a + 9. Suppose 4*n = 9*n - 0*n. Calculate the remainder when 14 is divided by q(n).
5
Suppose -3*z + 602 = 4*z. Let g = z - 67. What is the remainder when 72 is divided by g?
15
Let c(j) = 14*j**2 + 1. Let p be c(2). Suppose 2*b - 4*m + p = 3*b, -2*b + 3*m + 59 = 0. Calculate the remainder when 147 is divided by b.
36
Let d(p) = p**3 - 3*p**2 + 2*p - 6. Let g = 48 - 45. Suppose -124 = -4*b - g*t, 2*b - 3*b + 42 = -2*t. What is the remainder when b is divided by d(4)?
16
Let v(t) be the third derivative of t**6/120 - t**4/8 + t**3/2 - 2*t**2. What is the remainder when v(2) is divided by -1 - (-1 - 3) - 1?
1
Let h = 296 + -265. What is the remainder when 92 is divided by h?
30
Suppose -3*z - 11*z = -1974. Calculate the remainder when z is divided by 42.
15
Suppose 14*o - 99 = 9*o + 2*i, -29 = -o + 5*i. Calculate the remainder when 48 is divided by o.
10
Let p(b) = b**2 + 13*b - 83. Calculate the remainder when p(-18) is divided by 2.
1
Suppose 2*t - t - 98 = 0. Let s be -3*((-18)/(-12) + 77/(-6)). Let f = 67 - s. What is the remainder when t is divided by f?
32
Suppose 2*w + t - 21 = 0, 2 = w - 5*t + 8. What is the remainder when 1/(-3) - (-100)/3 is divided by w?
6
Let l = -30 + 35. Suppose -i + 48 = z, -3*i = -l*z + 213 + 35. Calculate the remainder when z is divided by 18.
13
Suppose 3*k + 5*v = 167, 2*k - 5*v = -4*v + 133. What is the remainder when 205 is divided by k?
13
Let z(y) = -2*y - 6*y - 1 - 25 - 7. Calculate the remainder when z(-14) is divided by 16.
15
Let d(b) = b**3 - 2*b**2 - 3*b + 1. Let g be (-4 + 1 + -2)/(-1). Let t be d(g). Suppose 3*n - t = 5. Calculate the remainder when n is divided by 6.
4
Let s be (-9)/9*(-3 - -1). Calculate the remainder when (s/1)/(42/819) is divided by 15.
9
Let m = 1310 + -1185. Calculate the remainder when 249 is divided by m.
124
Let w be -2 - 2 - 0 - -7. Suppose -k + 7 = 4*u, 2*u = -w*k + u + 10. What is the remainder when 9 is divided by k?
0
Suppose 0 = -2*l + 6*l. Suppose 0 = 3*a - 5*c - 19, 0 = 3*a - l*a - 4*c - 23. What is the remainder when (34 + -2 - -2) + 4 is divided by a?
12
Suppose 6*r + 34 = -8. Let z = r + 21. Calculate the remainder when 55 is divided by z.
13
Let s = -13 - -32. Let p = 19 - s. Suppose l + 0*l + 2*z - 42 = p, -126 = -3*l + 2*z. What is the remainder when l is divided by 22?
20
Let z(m) = -2*m**2 + 21. Suppose 2*a = 5*a. Calculate the remainder when z(a) is divided by 12.
9
Let s be (-634)/(-14) + -5*14/245. Suppose s = 6*g - g. Let x(y) = 9*y - 4. Calculate the remainder when x(6) is divided by g.
5
Let l = 102 - 158. What is the remainder when (-12 - l) + ((-2)/(-1))/2 is divided by 24?
21
Let a(l) = -l**3 + 59*l**2 + 67*l - 307. Let p be a(60). Suppose 3*w - 104 = 5*w. Let x = p + w. Calculate the remainder when x is divided by 16.
13
Let g = -18 + 69. Let i = -