z, -2 = -0*q + 2*q. What is the remainder when 21 is divided by z?
8
Suppose 0 = -q + 34 - 158. Let y = -77 - q. What is the remainder when y is divided by 8?
7
Let l = 111 + -75. Calculate the remainder when 70 is divided by l.
34
Suppose 24*p = -119 + 647. Calculate the remainder when 735 is divided by p.
9
Let b = -391 - -528. Calculate the remainder when b is divided by 48.
41
Let c(p) = 52*p**2 - 4*p + 2. Let h be c(1). Suppose 2*m = -3*m + h. Calculate the remainder when m is divided by 4.
2
Let c(q) = -6*q - 148. Calculate the remainder when 115 is divided by c(-30).
19
Let c(f) = -3*f**2 + 6*f + 9. Let b(r) = 7*r**2 - 12*r - 19. Let i(p) = -2*b(p) - 5*c(p). Calculate the remainder when 3/(6/(-17))*-4 is divided by i(8).
7
Let z(s) = 8*s + 3. Calculate the remainder when z(7) is divided by ((-360)/(-84))/((-6)/(-21)).
14
What is the remainder when 426 is divided by -14 - (-1296)/90 - 1376/(-10)?
12
Suppose 5*l - 76 = 2*z - 3*z, 0 = -2*l - 10. Calculate the remainder when z is divided by 18.
11
Suppose -t - 6 + 17 = -l, -44 = -4*t - 5*l. Suppose -135 + 25 = -t*k. Let a(p) = -p**3 + 6*p**2 - p - 1. Calculate the remainder when a(5) is divided by k.
9
Suppose n + 1 = 14. Suppose 0 = -g - 3*g + 20. Suppose -i - 306 = -g*u, u - 3*u + 2*i + 116 = 0. Calculate the remainder when u is divided by n.
10
What is the remainder when 55 is divided by 4/(4 + 0) + 32?
22
Let n(c) = 6*c**2 - 11*c. Let h be n(7). Suppose -166 = -4*g - 3*t, 0 = -g - 4*g + t + h. Calculate the remainder when g is divided by 4.
3
Let u(d) = 121*d - 80. Calculate the remainder when u(3) is divided by 13.
10
Suppose x - 46 = 4*d, 4*x - 54*d = -52*d + 128. What is the remainder when 126 is divided by x?
6
Suppose 12 = 3*u, -4*u = -z + 1 + 4. Calculate the remainder when z/36*51 + (-1)/(-4) is divided by 4.
2
Let a be (1 - 2)*(-4 + -10). Let f = -5 + a. What is the remainder when -68*2*2/(-8) is divided by f?
7
Suppose -11241 - 10323 = -36*o. What is the remainder when o is divided by 25?
24
Let y = -639 + 652. What is the remainder when 87 is divided by y?
9
Let n(w) be the second derivative of w**5/20 + 2*w**4/3 - 5*w**3/3 - 5*w**2/2 + w. Calculate the remainder when -5*(-4)/(7 - 3) is divided by n(-9).
1
Let p(j) = 11*j - 64. Let z be p(6). Suppose z = -8*a + 10. Suppose -5*v = 25, 4*v = l - 13 - 8. Calculate the remainder when a is divided by l.
0
Let f(s) = -3*s + 15. Let v be f(6). Calculate the remainder when 2 is divided by (2/6)/(v/(-18)).
0
Suppose 4*o = c - 35, 5*o - 208 - 37 = -4*c. Calculate the remainder when 1152 is divided by c.
52
What is the remainder when 144/(-2)*((-105)/45)/7 is divided by 11?
2
Suppose -2*g = -5*j + 3*g + 20, 0 = -3*j - 5*g + 36. Let d(r) = -10 + 8*r + 1 + 0. What is the remainder when d(j) is divided by 10?
7
Let p = -78 + 174. Calculate the remainder when 764 is divided by p.
92
Calculate the remainder when (-3)/((-60)/1556) + 7/35 is divided by 53.
25
Suppose 85 + 43 = 2*a + 3*n, -5*a + 282 = -2*n. Suppose -69 = -6*r - 33. What is the remainder when a is divided by r?
4
Let x = 231 + -189. What is the remainder when 416 is divided by x?
38
Let p = -12 + 275. What is the remainder when p is divided by 38?
35
Let v = 2 + 1. Suppose -2*c = 3*m - 18, -12 = -v*m - 4*c + 12. What is the remainder when 2/2 - 8/(-2) is divided by m?
1
Suppose -249 = -11*a + 8*a + 3*i, a = -3*i + 91. What is the remainder when a is divided by 11?
8
Let j(z) = z**3 + 6*z**2 + 5*z + 4. Let l be j(-5). Let d = 8 + l. Calculate the remainder when 39 is divided by 9/d - (-53)/4.
11
Suppose -13*s + 23 = -12*s. Calculate the remainder when 63 is divided by s.
17
Let x = 1163 - 1060. Calculate the remainder when x is divided by 35.
33
Let y = -15 + 69. Calculate the remainder when 236 is divided by y.
20
Suppose 4*w = 4*i - 2*i - 72, 0 = 5*i + w - 147. What is the remainder when 2729 is divided by i?
29
Suppose i - 7 = -z + 2*z, i + 5*z + 5 = 0. Suppose 12 - 107 = -i*s. What is the remainder when s is divided by 8?
3
Suppose b - 2*q = 6, -3*b - 4*q - 18 - 14 = 0. Suppose 4*j - 31 = g, -2*g = 5*j - 5*g - 37. Calculate the remainder when j is divided by ((-18)/b)/(-3)*-2.
2
Let y(d) = 7*d - 114. What is the remainder when 37 is divided by y(20)?
11
Let w = -311 - -455. Calculate the remainder when w is divided by 21.
18
Let c = -115 + 126. Suppose -c*i + 5*i + 18 = 0. Let b = 8 - -2. Calculate the remainder when b is divided by i.
1
Let g(j) = -j**3 - 6*j**2 - 6*j + 6. Let u(a) = 2*a - 2. Let q be u(2). Let h be q*8/(-4) + -3. What is the remainder when g(h) is divided by 25?
22
Let n = 124 + -137. Let h = 7 - n. Suppose 4*t + 4*m - 36 = 0, m + 46 = 3*t + t. Calculate the remainder when h is divided by t.
9
Let k(w) be the third derivative of -w**4/4 + 11*w**3/6 + 2*w**2. Let h(v) = -5*v + 46. Let u be h(11). Calculate the remainder when k(u) is divided by 33.
32
Let y(b) be the second derivative of 0 + 0*b**3 - 4*b + 8*b**2 - 1/20*b**5 + 0*b**4. Calculate the remainder when 93 is divided by y(0).
13
Let m be 1/(1 + (-48)/51). Let v = -3 - m. Calculate the remainder when 44 is divided by 91/4 + (-5)/v.
21
Suppose -3*o = -o + 36. Let j = 19 - o. Calculate the remainder when 72 is divided by j.
35
Let t(n) = 127*n + 40. Calculate the remainder when t(5) is divided by 7.
3
Let q = 1720 - 1566. What is the remainder when q is divided by 45?
19
Calculate the remainder when (-5 - (-3 - 12)) + 253 is divided by 45.
38
Suppose 0 = -5*q + 172*q - 2699 - 11162. Suppose -8 = 4*x + 12, -k - 2*x = -12. What is the remainder when q is divided by k?
17
Let n(w) = 2*w - 1. Let r be n(2). Suppose 2*j - r*l - 15 = 0, 3*j - 2*l - 24 - 11 = 0. Calculate the remainder when 39 is divided by j.
9
Suppose 0 = -5*n + 217 - 92. Calculate the remainder when 56 is divided by n + 1 + 1 - (-9)/3.
26
Let t = -1409 - -1450. Calculate the remainder when 214 is divided by t.
9
Suppose 4*y + 4*k = 0, 4*y - 2*y - 4*k - 18 = 0. Suppose -2*z - 2*s = -z - 23, y*s = -2*z + 51. What is the remainder when z is divided by 12?
9
Let o be 2/8 - 21/(-12). Suppose 4 = d + o*p, -2*p = 2*d - 3 - 5. Let a = 25 + -16. What is the remainder when a is divided by d?
1
Let b be 254/(-16) - (-5)/(-40). Let c = 32 + b. Suppose n - 10 = -4*y, -2*y - 40 = 2*n - 3*n. What is the remainder when n is divided by c?
14
Let u = 91 + -88. What is the remainder when ((-256)/(-12) - 3) + (-1)/3 is divided by u?
0
Suppose 0 = 2*z + 10, 59*i - 55*i + 3*z - 1333 = 0. Calculate the remainder when i is divided by 31.
27
Suppose -5*v + 6*f + 210 = f, 2*v - 76 = -2*f. Let s be (-920)/(-25) - (-8)/(-10). Suppose -2*t + 6 = -s. Calculate the remainder when v is divided by t.
19
Suppose -103 - 107 = -2*l. Let y = l + -31. Calculate the remainder when y is divided by 38.
36
Suppose -3*d + 186 = -3*z, d = -3*z + 27 + 15. Calculate the remainder when 738 is divided by d.
54
Let s be 42/105 - (-4)/(-10). Suppose -2*y - y + 9 = s, 387 = 5*w - y. Calculate the remainder when w is divided by 40.
38
Suppose 0*g = -2*g + 14. Suppose -73*f - 255 = -78*f. Let s = f - 24. What is the remainder when s is divided by g?
6
Let m = -316 - -329. Let j(r) = r - 7. Let y be j(0). Let p(l) = -l**2 - 13*l - 5. Calculate the remainder when p(y) is divided by m.
11
Suppose -22 = 3*p - 2*b, -3*p - 3*b = -p + 6. Let x(s) = -s**3 - 6*s**2 - 2*s - 4. What is the remainder when 29 is divided by x(p)?
5
What is the remainder when (285/20)/((-5)/((-80)/3)) is divided by 13?
11
Let f be (-4)/38 + (-16)/(-152). Suppose f = 7*i + 6*i - 130. What is the remainder when 58 is divided by i?
8
Let u = -508 - -567. Let x = 23 + -36. Let b = 33 + x. Calculate the remainder when u is divided by b.
19
Let l(y) = -7 - 6*y + 4 - 8. Let x be (7 + -7)/8 + -1*5. What is the remainder when 37 is divided by l(x)?
18
Suppose 0 = -5*w - 2*i + 13 + 12, 0 = 4*w - 2*i - 2. Calculate the remainder when (-2)/(-7) - ((-1152)/28)/3 is divided by w.
2
Suppose 419*c - 431*c = -1932. What is the remainder when c is divided by 47?
20
Suppose -5*z - 100 = 5*m, -z - 90 = 3*z + 2*m. Let p = -23 - z. Let a = 2 + p. What is the remainder when 9 is divided by a?
1
Let s(q) = 4*q - 6. Let t be s(2). Suppose -t*w - z + 49 = w, 5*w - 75 = -3*z. What is the remainder when 52 is divided by w?
16
Let l(k) = k**2 + 4*