 i = -3619 - -3681. Let y = i + x. Calculate the remainder when 147 is divided by y.
33
Let d be (-80)/5 - 42/7. Let h(g) = -g**2 - 36*g - 127. Calculate the remainder when h(d) is divided by 63.
55
Suppose -12915 = -2*m - 26*k + 29*k, -4*k = 5*m - 32230. Calculate the remainder when m is divided by 9.
6
Suppose 67*j - i + 7998 = 70*j, 5*i - 2680 = -j. What is the remainder when j is divided by 99?
91
Let g = -12 - -17. Suppose 0 = 3*a - 4*i - 43, -2*a + 10 = 5*i + 35. What is the remainder when g is divided by a?
0
Let n(y) = -y**3 + 29*y**2 - 26*y - 41. Let d be n(28). Calculate the remainder when 2/d + ((-9730)/(-150) - -9) is divided by 12.
2
Suppose 5*n - 4*n - 9 = 0. Suppose -7*q - 36 = -n*q. Let l = -86 - -156. What is the remainder when l is divided by q?
16
Let r(k) be the third derivative of -k**6/120 + k**5/12 + 25*k**4/24 + 2*k**3 + 21*k**2 - 7*k. What is the remainder when 72 is divided by r(8)?
12
What is the remainder when 3126 is divided by ((-4488)/(-119) - 10) + (-4)/(-14)?
18
Suppose 5*z - 1 - 9 = 0. Suppose -z*v + 3 = -55. Suppose -v - 21 = -2*o. Calculate the remainder when o is divided by 13.
12
Let i = 12072 + -11936. What is the remainder when 718 is divided by i?
38
Let t(q) = 3*q**2 + q + 3. Let m = 29 + 16. Suppose -16*r = -r + m. What is the remainder when t(r) is divided by 20?
7
Let w = 5438 - 5426. Calculate the remainder when 5231 is divided by w.
11
Suppose 5*t - 6 = 3*b, 2*b + t - 3 = 2*t. Suppose -x = -c - 3 + 6, b*x = -4*c - 2. Calculate the remainder when 100 is divided by ((0 - c) + 22)*1.
16
Let w = -1095 + 1106. Calculate the remainder when 161 is divided by w.
7
Let p be (4 - (-16)/3)*90/(-6). Let n = 158 + p. What is the remainder when n is divided by 5?
3
Let d(c) = c + 6. Suppose -5*l + 90 = 4*l. Suppose -l = -o - 1. Calculate the remainder when 24 is divided by d(o).
9
Suppose 0 = -0*l + 6*l - 4818. Suppose -13*w + 2*w + l = 0. Let v = 66 + -41. What is the remainder when w is divided by v?
23
Let k = 13872 + -2340. Calculate the remainder when k is divided by 56.
52
Suppose 2*x - 90 = 8. Calculate the remainder when 11/(-1) - (-130626)/1107 is divided by x.
9
Let n(s) = -176*s - 1873. What is the remainder when 452 is divided by n(-11)?
11
Let r(k) = -26*k - 30. What is the remainder when r(-9) is divided by 35/2*5/((-40)/(-16))?
29
Suppose -70 - 623 = -9*d. What is the remainder when 164 is divided by d?
10
Suppose 3*q - q + 4*c = 134, -189 = -3*q - 3*c. Let w(t) = 0*t + 3*t + 12 - 2*t + 38*t**3 - t**2 - 39*t**3. What is the remainder when q is divided by w(0)?
11
Suppose 0 = 5*w - 5*t - 325, -13*t - 177 = -3*w + 78. Calculate the remainder when 1359 is divided by w.
2
Let j = 3875 - 2746. What is the remainder when j is divided by 87?
85
Suppose -f + 15208 = 2*l, -4111*f - 20 = -4116*f. Calculate the remainder when l is divided by 45.
42
Let y be (-81)/15 + 5 + (-643)/5. What is the remainder when y*20/(-15) - (0 - 0) is divided by 22?
18
Suppose -3*k = -574 - 608. Suppose r = 2*t - 213 - 59, -3*t = -5*r - k. What is the remainder when t is divided by 47?
44
Let l = -44 - -46. Suppose o - 1 - l = 0. Suppose -3*i = -210 - o. Calculate the remainder when i is divided by 18.
17
Calculate the remainder when 15/25 - 0 - (-6 - 21402/30) is divided by 13.
5
Let r(d) = 10*d + 3. Suppose -10 = 3*u - 5*c, -4*c - c = -4*u - 5. Let m(a) = 5*a - 16. Let x be m(u). Calculate the remainder when r(x) is divided by 16.
13
Suppose h + 3*a - 1156 + 1153 = 0, -3*a = -5*h + 141. Calculate the remainder when 1294 is divided by h.
22
Suppose -5*t + 507 = 4*n - 2*t, 0 = -5*n + 2*t + 628. Suppose 3*v + 2*v + 2*w - 217 = 0, -3*v + 3*w = -n. Calculate the remainder when 686 is divided by v.
41
Let m(b) = -37*b + 4. Let z(d) = d**3 + 55*d**2 - 12*d + 268. Let u be z(-55). Suppose u = -9*t + 25*t. What is the remainder when m(-3) is divided by t?
57
What is the remainder when (-7 - (-1243)/(-44))*3*-4 is divided by 407?
16
Suppose -22*z + z = -3129. Calculate the remainder when 2382 is divided by z.
147
Let l = -61 + 91. Let p be (-12)/l*5*2/(-1). Suppose 0 = x + 4*t - 3*t - 24, p*t = 4*x - 104. What is the remainder when 98 is divided by x?
23
Suppose 53026*k - 52983*k + 109 = 582. What is the remainder when 1*(0 + (41 - -1)) is divided by k?
9
Let r(y) = y**3 + 9*y**2 - 18*y + 14. Let m be r(-11). Let u = m + -245. Let i = u + 394. Calculate the remainder when i is divided by 31.
26
Let o(z) = 3*z**3 + 15*z**2 - 6*z - 22. What is the remainder when 863 is divided by o(-5)?
7
Suppose 9*n = 816 + 29 + 1279. What is the remainder when n is divided by (-15)/2*24/(-9)?
16
Suppose 28*s - 56 = 23*s - 3*f, -4*s = -5*f - 67. Suppose -369 - 146 = -p. Suppose 4*l = 9*l - p. Calculate the remainder when l is divided by s.
12
Let d be (-288)/64 + 2/4*-1. Let t = 46 - d. What is the remainder when 151 is divided by t?
49
Let a be 1*(28/10)/((-8)/(-20)). Suppose -5*m = 4*j - 32, 3*m + 1 = -5*j + a*m. Suppose j*o + o = 104. What is the remainder when 75 is divided by o?
23
Suppose 5*v = 14*w - 17*w + 35134, 3*v - 21128 = 5*w. What is the remainder when v is divided by 7?
3
Let h = -511 + 1083. What is the remainder when h is divided by 32?
28
Let i = 571 + -562. Let l(z) be the third derivative of z**5/60 - 5*z**4/24 - 17*z**3/6 + z**2. What is the remainder when 27 is divided by l(i)?
8
Let q(v) = -368*v - 19. Let p be (-272)/153 + 2/(-9)*1. Calculate the remainder when q(p) is divided by 30.
27
Let o be 4302 + (32/4 - 5). Suppose 7*w - 48*w = -o. Calculate the remainder when 116 is divided by w.
11
Let v = -13697 - -14111. What is the remainder when 414 is divided by v?
0
Let z be 10/(-2)*(1 + -2). Suppose 0 = 4*p + 2*i + 6 + 12, z*i + 20 = -5*p. What is the remainder when 32 is divided by (34/(-2))/(-6 - p)?
15
Suppose -3*g + 8*g = -f + 32, 0 = 5*g - 4*f - 22. What is the remainder when 95 is divided by 1*((g - 2) + 4 + 4)?
11
Let g = 14448 + -14435. Suppose n - 4 - 7 = 0. What is the remainder when g is divided by n?
2
Let i = 85 - 85. Suppose 5*x + 10 = -5*t - 0*x, -2*x - 6 = i. Let s(o) = 19*o**2 - 7*o + 8. Calculate the remainder when 98 is divided by s(t).
18
Let c = -27 - -31. Suppose m - 15 = -c. Let i = 149 + -118. Calculate the remainder when i is divided by m.
9
Let x be 1786/(-18) + (-36)/(-162). Let w be ((-150)/(-12))/(2/(-4)). Let r = w - x. Calculate the remainder when r is divided by 19.
17
Let y(c) = 2*c**2 + 8*c - 27. Let t be y(0). Suppose 0 = 7*q - 3*q - 240. Let j = q + t. What is the remainder when 97 is divided by j?
31
Suppose 2*u + v = -3*u + 75, 0 = 4*u - 3*v - 79. Calculate the remainder when (-19908)/(-108)*3/7 is divided by u.
15
Suppose 12*m = 5*m. Let i be -2*(-225)/6 + m. Suppose i + 51 = 9*w. Calculate the remainder when 27 is divided by w.
13
Let w(p) = -34*p + 448. What is the remainder when w(-10) is divided by 260?
8
Suppose 6*d = -8*d - 14. Let a(m) = -54*m**3 + m**2 - 2*m - 2. What is the remainder when a(d) is divided by 28?
27
Suppose -4*v - 136 - 210 = -5*r, 5*r - 355 = -5*v. Calculate the remainder when r is divided by (-2)/(-8) + 12445/380.
4
Let g = 2375 + -2259. Calculate the remainder when g is divided by 12.
8
Let w = 2583 - -385. What is the remainder when w is divided by 119?
112
Suppose 72 = i - 3*q - 17, -i = 4*q - 96. What is the remainder when i is divided by 69?
23
Let w be (14 - 6/1)*23/4. Suppose 47*s = w*s + 26. What is the remainder when 51 is divided by s?
25
Suppose -22*w - 70686 = -49*w. Calculate the remainder when 1/((-6)/(-14) - w/6223) is divided by 32.
31
Suppose 0 = -3*q + 4 + 146. Let f = -34 + q. Let r = 136 + -127. What is the remainder when f is divided by r?
7
Suppose 2*k + 4*g - 5093 - 3111 = 0, 0 = -2*k + 6*g + 8284. Calculate the remainder when k is divided by 9.
5
Let b(c) = 3165*c**2 + 93*c - 91. What is the remainder when b(1) is divided by 2?
1
Suppose 4*a - 76 = -2*n + 22, 3*a = -4*n + 66. Suppose -5466 = -319*m - 65*m + 13350. Calculate the remainder when m is divided by a.
23
Suppose -12*s = -8*s + 28, 210 = y + 3*s. Calculate the remainder when y is divided by 116.
115
Suppose 431*c - 612345 - 937523 = 362048. What is the remainder when c is divided by 185?
181
Let g = 131 - 129. Suppose -i = v - 43, 5*v + 49 = -g*i + 3*i. Calculate the remainder w