1*(-15 + 16) is divided by t.
5
Suppose -254 = -6*r + 3*r + 5*a, -25 = -5*a. Let x = -163 + r. Calculate the remainder when 25 is divided by x/(-8) - -3*3/36.
7
Let m(l) = l**2 - 18*l - 49. Let o be m(-13). Suppose -4*c = 2*d - o + 138, 0 = -2*c - 4*d + 108. Calculate the remainder when 132 is divided by c.
24
Let q = -2246 + 2277. Calculate the remainder when 327 is divided by q.
17
Suppose c = -3, c = -4*w - c + 406. Let k be (3 - (-21)/(-14))/(3/12). Suppose -321 + k = -15*q. What is the remainder when w is divided by q?
19
Let z = -6995 + 7155. What is the remainder when 351 is divided by z?
31
Suppose -85*q + 93*q = 968. What is the remainder when 1935 is divided by q?
120
Let k(f) = 101*f + 222. Let p be k(-5). Let g = -220 - p. Calculate the remainder when g is divided by 4.
3
Suppose 12*t + 2*t = 252. Suppose 4*b = b + t. What is the remainder when 40 is divided by ((-9)/b)/3*(-13 - 1)?
5
Suppose 3*n - 279 = -2*g, 2*n - 3*n + 1 = 0. Suppose 0 = 5*f - 3*f + 3*y + 178, -y - 267 = 3*f. Let i = -54 - f. Calculate the remainder when g is divided by i.
33
Suppose -124*y - 1158 = -44*y - 12758. Calculate the remainder when 1159 is divided by y.
144
Suppose 0 = -47*w + 112*w - 40*w - 5050. Calculate the remainder when w is divided by 113.
89
Let f = 87 - 76. Let l(a) = 8*a**2 - 82*a - 5. Calculate the remainder when l(f) is divided by 24.
13
Suppose 0 = -8*l - 116*l + 611088 + 116296. Calculate the remainder when l is divided by 36.
34
Let c(j) = 7*j**2 + 14*j - 31. Suppose -11*u + 3 = -118. Calculate the remainder when c(-5) is divided by u.
8
Suppose 0 = -397*g + 408*g - 1296 - 90. What is the remainder when g is divided by 40?
6
Let d be (-1 - -4)/((-7)/(-2) - 2). Suppose 0 = d*x - 12*x - 10. Calculate the remainder when 92/(-2)*(x + 0)/2 is divided by 4.
3
Suppose -6*b - 1696 = -4*s - 7*b, -409 = -s - 4*b. Let j = -383 + s. Calculate the remainder when 208 is divided by j.
40
Let c(r) = 3*r**2 + 6*r. Let g be c(-5). Suppose -x - 2*x - g = 0. What is the remainder when 9/(-18) + x/(-2) is divided by 5?
2
Let x(t) = -417*t - 824. Suppose -q - 2*q + 201 = 0. What is the remainder when q is divided by x(-2)?
7
Suppose 0 = -d + 3*d + k - 27, 0 = 4*d + k - 49. Let r(x) = -75*x - 5 + 15 + 76*x. Calculate the remainder when 78 is divided by r(d).
15
Let b be (-13120)/25 + (-8)/40. Let z = b + 784. What is the remainder when z is divided by 29?
27
Suppose 9*f - 5*f = -6*f + 11730. What is the remainder when f is divided by 14?
11
Suppose -80 = -5*m + 5*b, 33 = -b + 28. Calculate the remainder when 1440 is divided by m.
10
Let n(k) = -2*k**2 - 45*k + 830. Calculate the remainder when 1833 is divided by n(-31).
15
Suppose 5*f - 18*w + 19*w - 281 = 0, 5*f = 4*w + 251. What is the remainder when 207 is divided by f?
42
Calculate the remainder when 1357 is divided by 92/2 - 7*(-5)/35.
41
Let k = 2175 - 2065. Calculate the remainder when 209 is divided by k.
99
Let v(k) = 42*k + 77. Calculate the remainder when v(3) is divided by 30.
23
Calculate the remainder when 1376 is divided by 21/9 - 1 - (-12)/90*185.
24
Suppose 0*j + 38 = 2*j. Let b be (-1)/2 - j/2. What is the remainder when (1 + -147)*b/20 is divided by 37?
36
Let m(h) = -4*h - 26. Let d(z) = -3*z - 27. Let l = -68 - -62. Let v(x) = l*d(x) + 4*m(x). What is the remainder when v(19) is divided by 49?
47
Let s = 11664 - 6122. Calculate the remainder when s is divided by 8.
6
Suppose 48 = 5*j + 8. Let v(o) = o**2 - 2*o - 33. What is the remainder when v(8) is divided by j?
7
Suppose -5*p + 71 = 11*u - 12*u, -4*p - 4*u + 52 = 0. Let h(b) = -3*b + 44. Calculate the remainder when 47 is divided by h(p).
1
Let s = 35 + -12. Suppose -14*z - 60*z + 3848 = 0. What is the remainder when z is divided by s?
6
What is the remainder when (6 - 3)/(-18) + (-28084)/(-24) is divided by 78?
0
Suppose 24*n + 7*n + 76 = 1223. Suppose 0*r = 5*r - 55. Let i = r + -3. What is the remainder when n is divided by i?
5
Suppose z + 5*l - 16 = 0, -2*z + l = -z - 22. Let w(h) = h**2 - 16*h - 82. Calculate the remainder when (-102)/5*30/(-9) is divided by w(z).
22
Suppose -3*w = 4*x - 0*x - 41, -4*w + 44 = 4*x. Suppose -10*h + 38 = -x*h. Let j = 91 - 56. Calculate the remainder when j is divided by h.
16
Let i = 31820 + -31770. Suppose 5*r + 5*h - h = 468, 0 = -4*r - 4*h + 372. What is the remainder when r is divided by i?
46
Suppose 5*s - 4*c - 27 = 0, -2*s + 7*c + 4 = 2*c. Suppose z + 422 = 3*q + 362, 0 = -3*q + 3*z + 48. What is the remainder when q is divided by 1 + 2/(-1) + s?
4
Let p(v) = v**3 - 35*v**2 - 31*v - 167. Let d be p(36). Calculate the remainder when (d/(-26))/((-1)/58) is divided by 9.
2
Suppose 928 = 5*z - 112. Suppose -312*y = -102*y - 1403 - 4897. Calculate the remainder when z is divided by y.
28
What is the remainder when (-1219 - 2)*((-5 - 4 - -13) + -5) is divided by 121?
11
Let n(d) = 20*d - 27. Let b be n(9). Let j = b - 124. Calculate the remainder when j is divided by 18.
11
Let t(k) = 2*k**2 + 210*k + 1912. Calculate the remainder when 2568 is divided by t(-96).
176
Calculate the remainder when (700/(-30))/(-5*(-4)/360*-2) is divided by 51.
6
Suppose -167 = -5*j + 4*s - 31, s + 9 = 0. Calculate the remainder when 3103 is divided by j.
3
Let z = -4163 - -4213. Calculate the remainder when 111 is divided by z.
11
Suppose 5*p = m - 1464, -5*m - 6 = -1. Let n = p + 322. Let c = 27 - 11. What is the remainder when n is divided by c?
13
Let n = -2340 - -2356. Calculate the remainder when 234 is divided by n.
10
Suppose 0 = 330*q - 9662 - 69215 - 78863. Calculate the remainder when q is divided by 24.
22
Let k = 475 - 362. Calculate the remainder when 337 is divided by k.
111
Calculate the remainder when ((417/5 - 4)*4)/(27/135) is divided by 157.
18
Let j = -295 + 481. Let r = 195 - j. Calculate the remainder when 13 is divided by r.
4
Let l = 5386 - 5298. Calculate the remainder when 1844 is divided by l.
84
Let z(c) = -4*c + 33. Let x be z(8). Suppose g - 13 = -0*g. What is the remainder when (-111)/(-3) - (2 - x) is divided by g?
10
Let t(m) be the third derivative of -3*m**4/8 - 41*m**3/6 + 8*m**2 + 5*m. Let w = 326 - 211. Calculate the remainder when w is divided by t(-6).
11
Suppose 0 = 5*k - 299 - 361. Suppose -k = a - 5*a. Suppose -94*s + 73*s + 22168 = 115*s. What is the remainder when s is divided by a?
31
Let p = -7019 + 7047. What is the remainder when 96 is divided by p?
12
Let v(s) = -s**2 - 54*s - 238. Calculate the remainder when 1269 is divided by v(-7).
86
Let w = -230 - -239. Calculate the remainder when (-363)/(-21) + (-8)/28 is divided by w.
8
Suppose 0 = 10*k - 4*k - 960. What is the remainder when (-2)/(-4)*k/1 is divided by (10/(-30))/((-4)/336)?
24
Calculate the remainder when 891 is divided by (168/(-315) + 1/5)/(13/(-195)).
1
Suppose 0 = -31*x - 1460 + 3041. Calculate the remainder when 85 is divided by x.
34
Let h(d) = -d**3 + 15*d**2 + 26*d + 19. Let m be h(17). Let c = m - -129. What is the remainder when 23 is divided by c?
11
What is the remainder when (0 + 5615)/5 + (-3)/(-6)*14 is divided by 21?
17
Let x(z) = -z**3 + 8*z**2 - 7*z - 11. Let a = 245 + -96. Let p = a + -143. What is the remainder when 72 is divided by x(p)?
15
Suppose -y = 39*y + 98*y - 12696. What is the remainder when 2753 is divided by y?
85
Let r(c) = 7*c**2 - 80*c + 1384. What is the remainder when r(15) is divided by 160?
159
Suppose 58*p - 207*p = -113478 - 32393. What is the remainder when p is divided by 252?
223
What is the remainder when 279 is divided by -5*((-91)/26)/((-7)/(-14))?
34
Suppose 3*c = 9 - 3. Suppose z - 5*u - 161 = 0, -2*z = -c*u - 248 - 42. What is the remainder when z is divided by 72?
69
Let u be ((-21)/9 + 1)*54. Let g be (-306)/u*28*1. Let q = 152 - g. What is the remainder when q is divided by 16?
1
Suppose 57*b - 42*b - 75 = 0. Let t = 58 - 18. Suppose b*r = t + 5. What is the remainder when 14 is divided by r?
5
Let a = -22 + 26. Suppose 49 = z - 2*r, -4*z - 119 + 303 = a*r. Calculate the remainder when z is divided by 17.
13
Calculate the remainder when ((-3)/2)/((-6)/(-16)) + (-3576)/(-6) is divided by 22.
20
Let n = 985 + -429. Suppose 0 = 3*v + 2*v + c - n, 4*v + 3*c - 447 = 0. What is the remainder when v is divided by 29?
24
Suppose 0 = -2*h - 8, -5*q + 5*h = -6