hat is the remainder when t is divided by u?
3
Suppose -31 = 3*n + 2*y + 21, 0 = -5*n - 3*y - 87. Let q = n - -20. Suppose 0 = -q*h - h + 69. What is the remainder when h is divided by 12?
11
Let o = -83 - -205. Calculate the remainder when o is divided by 32.
26
Calculate the remainder when 94 is divided by 770/(-66)*(-4)/(40/42).
45
Let h(v) = 28*v - 93. What is the remainder when 61 is divided by h(5)?
14
Let r(a) = a**3 - a**2 - 8. Calculate the remainder when 477 is divided by r(4).
37
Suppose -14*y - 10 = -19*y. Calculate the remainder when 7 is divided by (-70)/(-15) - (y + (-4)/3).
3
Let g = 178 - 92. Let u = g + -73. What is the remainder when 21 is divided by u?
8
Suppose -12*k + 5*w = -11*k - 1, 4*w = -4*k + 124. What is the remainder when k is divided by (-70)/(-4)*(-16)/(-20)?
12
Let j(x) = 146*x + 1074. Calculate the remainder when 139 is divided by j(-7).
35
Suppose -3*v = 0, v + 52 = -3*u + 169. Suppose u = 15*y - 12*y. What is the remainder when y is divided by 2?
1
Suppose 4 = h + 5*a - 20, 0 = -4*a + 16. Suppose -4*c = 16, -h*b - 4*c + 56 = -7*c. What is the remainder when 5 - (-20 + (4 - -2) + -2) is divided by b?
10
Let g = 317 + -307. What is the remainder when 47 is divided by g?
7
Let q(k) = 86*k**2 + 10*k + 35. What is the remainder when q(-3) is divided by 65?
64
Suppose 3*w = -0*w - 12. Let c = 18 - w. Calculate the remainder when 12/(-2)*((-448)/4)/16 is divided by c.
20
Suppose -s = 126 - 27. Let q = 137 + s. What is the remainder when 74 is divided by q?
36
Let p be 16/(-40) - (44/(-10) + -3). Suppose -21 + 7 = -p*v. What is the remainder when v is divided by (-32)/(-14) + 4/(-14)?
0
Suppose -4*s + 6 + 14 = 0. Suppose -51 + 5 = -q - 5*b, b - s = 0. What is the remainder when q is divided by 14?
7
Suppose -2*w + 103 = -179. Suppose 195 = 5*x + 3*p, 0*x + x = 3*p + 21. Calculate the remainder when w is divided by x.
33
Let a be 0/((-1)/(-1) - 3). Suppose 5*j = -a*j. Suppose -1 - 1 = 2*w + 2*f, j = 4*f + 16. Calculate the remainder when w is divided by 2.
1
Let i = 58 - -84. Calculate the remainder when i is divided by 64.
14
Suppose -3*p - 2*m = -41 - 37, 5*p - 3*m = 149. What is the remainder when 109 is divided by p?
25
What is the remainder when 405 is divided by (1 - 16/24)/((-3)/(-108))?
9
Let j = -148 + 465. What is the remainder when j is divided by 32?
29
Let d(b) = 62*b**2 + 4. Let n(t) = -1. Let j(y) = d(y) + 5*n(y). Suppose 5*p - 5*u - 180 = 0, 3*u = 6*u + 12. Calculate the remainder when j(1) is divided by p.
29
Suppose f - 12 = -f. Let w be 2/(-20)*2 + 91/5. Suppose 53 = 4*c + 3*x - w, 0 = -c + 4*x + 13. Calculate the remainder when c is divided by f.
5
Let c(u) = u**3 - 6*u**2 + 8*u - 2. What is the remainder when c(6) is divided by 17?
12
Let f(v) = -24*v + 79. What is the remainder when 24 is divided by f(3)?
3
Let c = -135 - -137. Suppose -4 = a - 2*k, -4*a = a - c*k - 4. What is the remainder when 3 is divided by a?
1
Suppose -5*j + 2*v + 75 = 0, 0*j - 4*v + 54 = 2*j. Suppose 0 = h + 2*h + 18. Let a = h - -39. Calculate the remainder when a is divided by j.
16
Suppose 2*a = -4*u + 97 + 79, 5*u - a = 220. What is the remainder when 120 is divided by u?
32
Suppose 15*k - 10*k - 5*j = 830, 3*k - 504 = -3*j. What is the remainder when k is divided by 52?
11
Let v(m) = 97*m - 848. What is the remainder when 324 is divided by v(9)?
24
Let y = -36 + 72. Let w = 1553 + -1484. What is the remainder when w is divided by y?
33
Let g = 28 + 42. Calculate the remainder when g is divided by 43.
27
Let v = -1328 - -1555. What is the remainder when v is divided by 38?
37
Suppose -5*v - 4*f = 209 - 1372, -3*v - 3*f = -699. What is the remainder when v is divided by 20?
11
Let q be (0 - -1) + 2 + 1/(-1). Suppose -6*l + q*s = -2*l - 262, 4*s + 128 = 2*l. Calculate the remainder when l is divided by 23.
20
Let c = 69 - 62. Calculate the remainder when 36/7*(-28)/(-8) is divided by c.
4
Suppose 2*z = -0*z - 6, -2*g - 5*z = -29. Let b(r) = 2*r - 25. Let v(w) = w**3 - w**2 + 11. Calculate the remainder when b(g) is divided by v(0).
8
Suppose 2*l = -0*l + 2*p + 34, -4*l = -2*p - 76. Suppose -105*f = 34*f - 22370 + 5551. Calculate the remainder when f is divided by l.
16
Let q be -4 + -2 + -2 + 8. Suppose y - p - 2 = q, 4*y = -0*p - 3*p + 22. Calculate the remainder when 6 is divided by y.
2
Suppose 5*l + 10 = 0, 18*l = -3*q + 20*l + 754. What is the remainder when q is divided by 26?
16
Let k(y) = 4*y - 3. What is the remainder when (1 - -23) + -6*7/(-21) is divided by k(3)?
8
Let z(c) be the first derivative of -c**4/4 + c**2/2 + 15*c + 4. Suppose 4*l = -0*l. What is the remainder when 44 is divided by z(l)?
14
Let z = 93 + -38. Suppose 0 = 4*n - 0*n - 16, 0 = -l - 4*n + 19. What is the remainder when z is divided by ((-19)/l)/(-5 - (-14)/3)?
17
Let u(j) = j**3 + 4*j**2 - j + 1. Let x be u(-4). Suppose x*p = 6*p - 5. Suppose -p*q + 229 = -361. Calculate the remainder when q is divided by 24.
22
What is the remainder when 49 is divided by 7/((-7)/(-18)) + -4?
7
Suppose -71*c = 3545 - 18597. Calculate the remainder when c is divided by 12.
8
Let f(u) be the second derivative of u**4/12 - 2*u**3/3 - 19*u**2/2 + 7*u. What is the remainder when f(9) is divided by 7?
5
Suppose -5 = -h + 3*w, 2*h = 4*h - 2*w - 6. Suppose -2*x - 4*g - 28 = -4*x, -5*g - 25 = -2*x. Calculate the remainder when x is divided by (h - (-3)/(-2))*14.
6
Suppose -3*i = -6*i + 27. Suppose -28 = 5*v + 82. Let d = v + 26. Calculate the remainder when i is divided by d.
1
Let f(w) = 22*w - 2. Let a(q) = -6*q - 34. Let h be a(-6). Suppose -h*y + 5*y = 33. Calculate the remainder when f(2) is divided by y.
9
Suppose 0 = -3*o - y + 38, -3*o - 4*y + 4 = -22. What is the remainder when 293 is divided by o?
13
Let w(y) = 9*y + 14. Let q(n) = -5*n. Let t be q(-2). Let v be w(t). Let g = v + -42. Calculate the remainder when g is divided by 21.
20
Suppose 0 = -6*r - 6. Let i(o) = 19*o**2 - o. Calculate the remainder when 97 is divided by i(r).
17
Let s = 2 + 5. Calculate the remainder when (-172)/(-4) - (100/(-28) - (-27)/(-63)) is divided by s.
5
Let f be (-3)/(-2)*80/24. Let m(o) = 4*o**2 + f + 2*o - 7 - 3*o**3 + 0*o. What is the remainder when m(-2) is divided by 5?
4
Let j = -32 + 78. Calculate the remainder when 43 is divided by j/5 + (-2 - (-9)/5).
7
Suppose 18*o - 23*o = 20. Calculate the remainder when 130 is divided by (3/o + (-1074)/(-24))*1.
42
Let q = 1590 + -1135. Calculate the remainder when q is divided by 24.
23
Suppose g - 16 = 2*l - 3*g, -3*g = -3*l - 15. Suppose 7*t = -3 - 11. Calculate the remainder when (6 + l)*(-3)/t is divided by 3.
0
Let l = -36 + 75. Let n = l + -31. Calculate the remainder when 52 is divided by n.
4
Let x(a) = -2*a**3 + 5*a**2 + 10*a - 9. What is the remainder when 29 is divided by x(3)?
5
Suppose -4*q = -9*q + 2*c + 18, -q = -5*c - 22. Suppose 22 = h + q. What is the remainder when 58 is divided by h?
18
Let v be 15/(-4) - 1/4. Let j be (5 + 65)*v/(-10). Let g = -18 + j. Calculate the remainder when 29 is divided by g.
9
Let f = 755 - 89. What is the remainder when f is divided by 47?
8
Suppose -6 = s - 14. What is the remainder when -14*18*(-2)/s is divided by 16?
15
Suppose -g - 7 = -4*f, 3*f + f - 2*g = 2. Let l(c) = 3 - 9*c**f + c - c**2 + 3 - 5. What is the remainder when l(-1) is divided by 5?
3
Suppose -5*i + 72 - 27 = 0. Calculate the remainder when 268 is divided by i.
7
What is the remainder when ((-948)/(-8))/((-3)/4)*-6 is divided by 95?
93
Let z(p) = p + 32. Suppose -7 = 4*v - 5*w, 0*w - 3*w = -4*v - 17. What is the remainder when z(v) is divided by 15?
9
Let k = 690 - 482. What is the remainder when k is divided by 53?
49
What is the remainder when 135 is divided by (-62)/(-93) - 1010/(-15)?
67
Suppose 0*a + 6 = 2*a. Suppose -a*b + 12 = 0, 0 = -2*i - b - 31 + 13. Let p = 4 - i. What is the remainder when 28 is divided by p?
13
Suppose 0 = -3*l - 23 + 53. Let f(w) = 3*w**2 + 11*w - 4. Let x be f(-4). Suppose x = 2*h - 3*h + 6. What is the remainder when l is divided by h?
4
Suppose 4*k = -5*y + 92, 2*k - k - 38 = -5*y. Let z be (-20)/5 + 4 + 5. Let w(s) = 8*s + 9. Calculate the remainder when w(z) is divided by k.
13
Let z(r) = 11*r + 17. Let i(u) = u + 1. Let g(n) = 6*i(n) - z(n). What is the remainder w