 when ((-18)/5)/(68/(-20) + t) is divided by 7.
2
Suppose -114 = -6*k + 204. Let f = 422 - 413. Calculate the remainder when k is divided by f.
8
Suppose -3011 + 18915 = 112*z. Calculate the remainder when 2850 is divided by z.
10
Let q = 2205 - 2181. Let o = 168 + -94. Let k = 141 - o. Calculate the remainder when k is divided by q.
19
Suppose 0 = -6*r + r + 100. Let z(v) = -v**2 + 419*v + 8832. What is the remainder when z(-20) is divided by r?
12
Let v be ((15 - 14)/2)/((-2)/(-236)). Suppose -31 - v = -3*y. What is the remainder when 208 is divided by y?
28
Suppose -3*k + 6668 = 6665, 2*b - 63 = -3*k. What is the remainder when 746 is divided by b?
26
Let b be (208/8)/((-4)/(-26)) + 0. Let t = b + -123. Calculate the remainder when 183 is divided by t.
45
Suppose 2*z + i = 78, 2*z - 45*i + 49*i - 78 = 0. Calculate the remainder when 419 is divided by z.
29
Let v = -25 - -41. Let b = 800 - 679. Let p = b - 11. What is the remainder when p is divided by v?
14
Let v(l) = -9*l + 60. Let s be v(6). Let t(b) = -b**3 + 10*b**2 + 12*b + 7. What is the remainder when t(s) is divided by 56?
55
Suppose 10 = q + q. What is the remainder when (-4)/(-62) - 415164/(-2697) is divided by q?
4
What is the remainder when 775 is divided by 6/(-168)*-8 + 690/35?
15
Let m be ((-484)/(-66))/((-2)/(-6)). Suppose -5*k - m = -k + 2*w, 10 = 2*w. Let t = 10 + k. Calculate the remainder when 17 is divided by t.
1
Suppose 0 = 12680*v - 12676*v - 36. Calculate the remainder when ((-4)/(-14) + (-46)/14)*-17 is divided by v.
6
Suppose -s = -27*s - 10*s + 3600. Calculate the remainder when 117 is divided by s.
17
Let m(l) = 20*l**2 + 31*l + 137. Calculate the remainder when m(-6) is divided by 75.
71
Let d(a) = 3*a**2 - 17*a + 48. Calculate the remainder when d(6) is divided by ((22 - 0) + 1)/(-3 + 4).
8
Suppose 4*o - s = 3 + 13, 3*o + 1 = 4*s. Suppose -4*t + 5*i = -82, 4*t + 3*i = o*t - 24. What is the remainder when 215 is divided by t?
17
Let b be (-88)/11 + 4 + 9. Suppose 86*j - 5*n + b = 85*j, 0 = 2*n - 10. Calculate the remainder when (-22)/((-3)/((-9)/(-2))) is divided by j.
13
What is the remainder when 1047 is divided by (-4 - 1)*(13 + -26)/65 - -7?
7
What is the remainder when ((-752)/(-329))/((-4)/(-12754)) is divided by 30?
28
Suppose 55 = r + 2*o - 4*o, r + 4*o = 49. Let v(k) = 6*k**2 - 9*k - 6. Let y = -239 - -233. Calculate the remainder when v(y) is divided by r.
52
Let l(q) be the first derivative of 2*q**4 + q**3 + q**2/2 - 12*q + 68. Calculate the remainder when l(2) is divided by 27.
12
Suppose -19*f = -21*f + 18. Suppose f*g - 1302 = -12*g. Calculate the remainder when g is divided by 13.
10
Let w(g) = -g**2 - 4*g + 4*g + 4*g + 5*g + 27. Let j be w(11). Suppose 7*d + j*y - 238 = 4*d, 0 = d + y - 80. What is the remainder when d is divided by 28?
25
What is the remainder when 592/5624 - 4102/(-19) is divided by 55?
51
Suppose -2*t = 0, 3*s - 60 = -2*t + 7*t. What is the remainder when 59 is divided by -2 + 28 - s/(-4)?
28
Let l = -589 - -600. Suppose 3*b = s - 0*s + 14, 2*b = 5*s + 18. Suppose x - 42 = 2*k, 5*x + b*k = 2*x + 176. Calculate the remainder when x is divided by l.
8
Let l(z) = 6*z**3 - z. Let i = -2215 - -2221. Calculate the remainder when l(2) is divided by i.
4
Let p be 2/(((-2)/(-6))/((-6)/12)). Calculate the remainder when 38 is divided by (p*1)/3 - (1 + -17).
8
Let z = -73 + 126. Let l = z + 286. Suppose 93 = 6*n - l. What is the remainder when n is divided by 19?
15
Let p = -13040 - -13692. Calculate the remainder when p is divided by 7.
1
Let m(i) = 2*i**3 - 120*i**2 + 36*i - 70. Calculate the remainder when m(60) is divided by 51.
50
Let l be (8/((-56)/469))/(0 - 1). Suppose 0 = -10*p - 27 + l. Suppose 5*b + 315 = 3*y - 0*b, p*y - 420 = -b. Calculate the remainder when y is divided by 54.
51
Let d(q) = -2*q - 18. Let g be (6/(-4) - 5)*2. What is the remainder when d(g) is divided by 1?
0
Calculate the remainder when 73 is divided by 82*(-2 + 3)/(6 - 56/14).
32
Suppose -5 = 5*s + 5*v, -8 = v - 7. Suppose d = -2*d + 3*k + 39, -5*d - 5*k + 65 = s. Calculate the remainder when 23 is divided by d.
10
Let o = 20418 - 20404. Let r = 3 - 2. Let j = r + o. What is the remainder when 89 is divided by j?
14
What is the remainder when 491 is divided by (1 - -2) + (26 - (-12 - 28))?
8
Let i be 3 - 3 - -3*25. Suppose 9*z = 16*z - 21. Suppose -4*v - 128 = -4*p, -7*v + i = 3*p - z*v. What is the remainder when 85 is divided by p?
27
Suppose 5*q - 272 - 16 = -2*u, 2*q - u = 126. What is the remainder when 63 is divided by q?
3
Let c(v) = -7*v - 21. Let u = -49 + 44. Let k be c(u). Let n = k + 7. Calculate the remainder when n is divided by 7.
0
Let s = 0 - -2. Let b be (-1 - -2 - 1)/(-57 - -53). Suppose m + b*m - 4*q - 12 = 0, 2*q + s = 0. What is the remainder when 13 is divided by m?
5
Suppose -61*u - 8379 = -l - 66*u, -33491 = -4*l + 5*u. What is the remainder when l is divided by 59?
55
Suppose 0 = 117*g - 184*g + 2948. What is the remainder when 1130 is divided by g?
30
Suppose 426 = 32*c - 950. Calculate the remainder when 393 is divided by c.
6
Let y(l) = 4*l. Let h(q) = q + 1. Let t(z) = -h(z) + y(z). Let c be t(7). Suppose o + c = v, v + 3*o = -v + 55. Calculate the remainder when 91 is divided by v.
22
Suppose -8*m + 533 = 5*a, -11*a + 5*m + 133 = -10*a. Calculate the remainder when a is divided by 62.
51
Calculate the remainder when 205 + -11 + 28/14 is divided by 42.
28
Suppose -3*r = o - 1369, -10 = -r - 2*o + 453. Calculate the remainder when r is divided by 15.
5
Let d = -343 - -405. What is the remainder when d is divided by 3/(6/(-22))*-1?
7
Suppose -5*k = 5*u - 2*k - 50, 0 = 4*u - 5*k - 40. Suppose -u = d - 6*d, -42 = -4*w + d. Let t = 29 - w. What is the remainder when 31 is divided by t?
13
Suppose 18*d - 602 = 35 + 1199. What is the remainder when 508 is divided by d?
100
Let x = 127 - -86. Let p = 13898 - 13874. Calculate the remainder when x is divided by p.
21
Let j(m) = -5*m - 27. Let x(i) = 9*i + 53. Let f(t) = -7*j(t) - 4*x(t). Let v be f(-3). Let o = 126 - v. What is the remainder when o is divided by 37?
35
Let w(c) = -c**2 + 20*c + 45. Let l(i) = -5*i**2 + i**3 + 2*i + 3*i**2 - 2*i**2 - 1. Calculate the remainder when l(4) is divided by w(22).
0
Let v = 251 - 249. Suppose -314 + 432 = v*h. What is the remainder when h is divided by 7?
3
Let p(m) = 80*m**2 + 248*m - 23. What is the remainder when p(-4) is divided by 5?
0
Suppose -8*x = -519 + 391. Suppose b - 37 = 4*j, 5*b - 2*b = -5*j + 26. Suppose 4*u - 3 = b. Calculate the remainder when x is divided by u.
1
Suppose 9486 = 17*k + 27*k + 49*k. What is the remainder when k is divided by 37?
28
Suppose -5*r - 5*v = -625, 101*r - 103*r = -5*v - 271. What is the remainder when r is divided by 120?
8
Suppose 16*k - 18*k - 4 = 0. Let i(f) = 3*f**2 + 4. Let g be i(k). What is the remainder when 79 is divided by g/(-3)*2/((-4)/6)?
15
Let n = -313 - -317. What is the remainder when 130 is divided by (-3 - -4)/(n/76)?
16
Suppose 2*g + 204 = 2*d, -g + 238 + 180 = 4*d. Suppose 0 = d*t - 106*t + 38. What is the remainder when 49 is divided by t?
11
What is the remainder when 161 + 291 - (-1 - 2 - 1) is divided by 124?
84
Suppose 5*t - 34 = -b, -6 + 3 = 3*t. Suppose -4*j + 127 = b. What is the remainder when 129 is divided by j?
19
Let u(j) = -32*j**3 + 4*j + 3. Let f be u(-1). Suppose z = f + 17. Let p(r) = -r**2 - 10*r + 1. Calculate the remainder when z is divided by p(-5).
22
Suppose -4069*k = -4017*k - 18148. Calculate the remainder when k is divided by 74.
53
Let o = 34 - 18. Let f(g) be the first derivative of -45*g**2/2 + 17*g - 14. Calculate the remainder when f(-1) is divided by o.
14
Let a be 3 + -1 + -150 + 1. Let y = 216 + a. Let p = 80 - 70. What is the remainder when y is divided by p?
9
Let x(a) = 15*a - 16. Let z = 173 - -237. What is the remainder when z is divided by x(5)?
56
Let o = 127 - 72. What is the remainder when ((-3)/5 - 0) + 124/248*4344/20 is divided by o?
53
Let j(r) = -r**2 + 7*r + 11. Let v be j(8). Suppose -v*k - 6 = 0, -g = g - 2*k - 236. What is the remainder when 65 is divided by 3*(-2 + g/12)?
19
Let l = 394 - 574. Let w = l - -217. Calculate the remainder when w is divided by 6.
1
Let v be 4244/(-11) + (-48)/22 + 2. Let u = 408 + v. Suppose