
Let q = 21 + 8. Let f(x) = -4*x - 8. Let a(t) = -3*t**2 + 3*t. Let k be a(2). Calculate the remainder when q is divided by f(k).
13
Suppose 0 = -4*f + 355 + 57. Let g = -62 + f. Let o = -31 - -53. What is the remainder when g is divided by o?
19
Suppose -5 = -5*b + q, 7*b - 4*b + 3*q - 21 = 0. Suppose b*m - 18 = -3*n + 4*m, -3*m + 17 = n. What is the remainder when 23 is divided by n?
7
Suppose 3*f - 5*d + 4*d - 160 = 0, 0 = 3*d - 6. Let o = -22 - -19. Calculate the remainder when f is divided by (-2 - 13/4)/(o/8).
12
Let p = -10 - -11. Let a(x) = x**2 + 6*x + 3. What is the remainder when a(-8) is divided by 1 - (0 + p + -7)?
5
Let w(d) = -2*d**2 + 24*d + 26. Let m be w(12). Suppose 59*a - m = 57*a. What is the remainder when 75 is divided by a?
10
Let d(u) be the third derivative of 5*u**4/24 - 11*u**3/6 + u**2 - 2*u. What is the remainder when d(5) is divided by -1 + 1 - 3/(-1)?
2
Suppose 3*k + k = 4*w - 924, 5*k = 4*w - 923. Suppose -96 = -d + w. Suppose u = 5*x - 380, -3*x - 4*u = x - d. Calculate the remainder when x is divided by 20.
17
Suppose 5*c - f - 3*f + 104 = 0, -5*c - 97 = 3*f. What is the remainder when (-2 + -3)*(-9)/((-18)/c) is divided by 13?
11
Let c = -2 - -102. Let v be (-6)/(-30) - 748/(-10). Let h = -49 + v. Calculate the remainder when c is divided by h.
22
Let u(l) = -l**3 + 4*l**2 - 2*l + 1. Let s be u(3). Let d(m) = -m**3 + 7*m**2 - 7*m + 6. What is the remainder when d(s) is divided by ((-20)/(-15))/(4/42)?
12
Suppose -3*d - 2*k + 19 = -0*d, 7 = 4*d - k. Suppose 0 = -l - d*r + 63, -8*l = -3*l - 4*r - 239. What is the remainder when l is divided by 7?
2
Suppose -110*w + 72 = -106*w. Calculate the remainder when 410 is divided by w.
14
Let m = 577 - 250. What is the remainder when m is divided by 55?
52
Let n(x) = -2*x**2 - 21*x + 6. What is the remainder when 989 is divided by n(-10)?
13
Suppose 0 = -1957*v + 1968*v - 352. What is the remainder when 95 is divided by v?
31
Let i = -4 - -3. Let w be 7 + (-2)/1 + i. Suppose -w*u + u - 3*c + 36 = 0, 2*u + 5*c - 30 = 0. Calculate the remainder when 49 is divided by u.
9
Let n(p) = p - 5. Let l = -65 + 80. Calculate the remainder when ((-1 - 1) + -1)*-13 is divided by n(l).
9
Let q(c) = -c**2 + 17*c - 31. Calculate the remainder when 578 is divided by q(12).
27
Let c(v) = v**3 + 17*v**2 - 18*v + 32. Let n be c(-18). Let x = n - 27. What is the remainder when 27 is divided by x?
2
Let b = 7 - -19. Suppose 21 = 6*j - 3. Suppose j*k = -n + 42 + 27, -2*n + 73 = -5*k. Calculate the remainder when n is divided by b.
23
Let m(a) = -9*a**2 - 218*a - 32. Calculate the remainder when 137 is divided by m(-24).
9
Suppose 0 = 5*s + d - 45, 0*s = 2*s + 4*d. Calculate the remainder when s is divided by 5.
0
Suppose -3*l = -32 - 145. Suppose 2*a + 70 = 2*g, 3*g - a = 93 + 2. Calculate the remainder when l is divided by g.
29
Suppose -v - 4*v + 3*x + 21 = 0, -3*x = 2*v. Let w be (-4)/6*v/(-1). Suppose -w*n + 51 + 11 = 0. What is the remainder when n is divided by 8?
7
Let h(v) = 34*v**2 + 2*v - 1. Let a be h(1). Let i = a + -7. Let r = 860 - 850. What is the remainder when i is divided by r?
8
Let z(k) = 13*k**3 - 3*k**2 + 2*k + 1. Suppose -2*m + 5*m - 253 = -5*t, 5*m = -t + 55. What is the remainder when z(2) is divided by t?
47
Suppose -4*t + 4*n + 381 = 61, -406 = -5*t - n. Suppose -17*g - 570 = 2*g. Let h = g + t. Calculate the remainder when h is divided by 18.
15
Suppose -4*b = -22 + 2. Suppose 0*h = 4*h - b*i - 189, -5*h + 200 = i. What is the remainder when h is divided by 6?
5
Let w be 6/24 + 2/(-8). Let r(j) = 2 + 2*j**2 + 2*j - 3 + w*j**2. What is the remainder when r(2) is divided by 7?
4
Let a = -9 - -10. Let b(s) = -s**2 + 19*s - 11. Calculate the remainder when b(16) is divided by (1 + a)*38/4.
18
Let h = -365 - -655. Suppose -43 - 131 = -3*m + 3*k, 5*m - k = h. Calculate the remainder when m is divided by 20.
18
Suppose 3*u + 288 = 5*x, 6*u + 286 = 5*x + 5*u. Suppose 84 = 3*y + x. Calculate the remainder when y is divided by 5.
4
Let z(b) = -b**2 - 4*b + 167. Calculate the remainder when z(-10) is divided by 34.
5
Let u = -83 - -85. Suppose q = -p - 3*p + 35, 66 = u*q + 4*p. What is the remainder when q is divided by ((-21)/(-4) - 1)*4?
14
Let m(q) = -2*q**3 - 44*q**2 + 44*q - 24. What is the remainder when 47 is divided by m(-23)?
3
Suppose 24*f = 2 + 94. What is the remainder when 161 is divided by f?
1
Suppose -142 = -10*d + 9*d + 2*n, -5*n - 136 = -d. What is the remainder when d is divided by 49?
48
Suppose 5 = -o + 3. Let m be 3 - (o - (-5)/1). Calculate the remainder when 10 is divided by 4/((-1 + m)/(-1)).
2
Let y = 7 + -2. Let h(r) = -r**3 + 20*r**2 + 21*r + 14. Let p be h(21). What is the remainder when y is divided by -3*((-7)/p)/((-6)/(-16))?
1
Let d(p) = -2*p + 1. Let c be d(1). Let s(u) = -20*u**3 - 2*u**2 - u. Suppose 0*n = 2*n - 144. What is the remainder when n is divided by s(c)?
15
Suppose 8*c = 6*c + 10. Suppose -3*p = -c*p + 8. Calculate the remainder when 15 is divided by p.
3
Let m = 36 + -7. Suppose -4*s + 237 - m = 0. Calculate the remainder when s is divided by 19.
14
Let u = 40 - 17. What is the remainder when 65 - 5*((-12)/20 + 0) is divided by u?
22
Suppose -4 = -4*p, 4*t + 140 = -3*p + 1555. Calculate the remainder when t is divided by 71.
69
Let g(r) = -14*r - 286. Suppose 4*q - 2*q = 174. Calculate the remainder when q is divided by g(-22).
21
Suppose -5*z - 8 + 93 = 0. Let j = 0 - -45. Calculate the remainder when j is divided by z.
11
Let k = 294 - 204. Let c = -171 + 194. Calculate the remainder when k is divided by c.
21
What is the remainder when 269 is divided by (-2 + 1 - 19)*(-16)/64?
4
Let i(v) = 11*v + 0*v + 21 - 23 + 6*v**2 - v**2. What is the remainder when i(-6) is divided by 39?
34
Suppose 0 = -3*u - 1 + 61. Suppose -44 = -2*q + u. Calculate the remainder when q is divided by 12.
8
Suppose -2 = 2*s, -3*v + s + 41 = 7. Let u be -21*(-1 - (-1 - -1)). Let f = 27 - u. What is the remainder when v is divided by f?
5
Suppose 0 = n - 91 + 6. Let u be -7*(-18)/21*9. Let q = n - u. Calculate the remainder when q is divided by 8.
7
Let s(j) = j**3 - 31*j**2 + j + 21. What is the remainder when 103 is divided by s(31)?
51
What is the remainder when (67/(-2))/(2/(-16)) is divided by 108*(7 + (-26)/4)?
52
Calculate the remainder when 15 is divided by (16 + -3 - -1) + -4.
5
Suppose -4*b = v - 29 - 10, -4*v - 75 = -5*b. Let h = b + 0. What is the remainder when h is divided by (-138)/897 - 134/(-26)?
1
Let v(k) = k**3 - 20*k**2 + 21*k - 19. Calculate the remainder when v(19) is divided by 7.
5
Let l = -618 + 636. Calculate the remainder when 177 is divided by l.
15
Let y(j) = -3*j**2 - 14*j - 31. Let f be y(-5). Let n(s) = 2*s**2 - 5*s + 6. Let w be n(-5). Let x = f + w. What is the remainder when x is divided by 12?
9
Suppose -3 + 128 = 5*s. Suppose 8*x + 247 = 27*x. Calculate the remainder when s is divided by x.
12
Suppose -5*t - 3*p = p - 342, 5*p = -t + 81. Let n(z) = -z**2 + 11*z - 1. Let h be n(6). Let b = h - 6. Calculate the remainder when t is divided by b.
20
Suppose -m + 4 + 41 = -4*l, 3*m = l + 113. Let c = 5 + m. Suppose -5*h + c = -93. Calculate the remainder when 53 is divided by h.
26
Calculate the remainder when 5*(-39)/15 + 467 is divided by 35.
34
Suppose o - 19 = 38. Let c = 76 - o. What is the remainder when 71 is divided by c?
14
Suppose -3*p + 13 = -5*c - 76, -107 = -5*p - 2*c. What is the remainder when p is divided by ((-12)/3)/((-7)/(49/2))?
9
Calculate the remainder when (0 - -1) + -1 + 27 is divided by 25.
2
Let v(n) = 40*n**2 - 58*n - 23. Calculate the remainder when v(6) is divided by 43.
37
What is the remainder when 206 is divided by (138*9/81)/((-2)/(-3))?
22
Suppose 4*b - 11*y - 2104 = -9*y, 2639 = 5*b + 2*y. What is the remainder when b is divided by 16?
15
Let a = -20 - -22. Suppose -2*z + 0 = -4*t + 6, -7 = -a*t - 3*z. Suppose 74 = t*s + 4*p, -2*p + 84 = s + s. Calculate the remainder when s is divided by 16.
15
Suppose 0 = 3*j - 3*n - 279, -4*j = 6*n - 2*n - 396. Calculate the remainder when j is divided by 44.
8
Let x be ((-132)/77)/((-2)/7). Suppose -x*j - 12 = -7*j. What is the remainder when 23 is divided by j?
11
Suppose s + 4*u = 13, -2*s - 4*u + 21 = -9. Let z(p) = -2*p + 1. Let i be z(-1). 