12
Let r(i) = i**3 - 8*i**2 - 13*i - 15. Let n be r(12). Suppose 4*d = -5*d - n. Let w = 49 + d. What is the remainder when 13 is divided by w?
1
Let b(q) = q**2 + 6*q - 26. Suppose -23*z + 32 = -15*z. Suppose 5*a + y = -4*y + 30, -30 = -z*a - y. Calculate the remainder when b(-12) is divided by a.
6
Suppose 90*y = -c + 89*y + 49, 4*c - 161 = y. Calculate the remainder when 5457 is divided by c.
39
Suppose 0 = 5*h - 6*h + 4. Suppose -8 = h*x, s + 4*x - 75 = 3*x. What is the remainder when s is divided by 27?
23
Suppose -4*o = 9*d - 118, 4*o + 3*d - 83 = 23. What is the remainder when o is divided by (0 - -1)/((-2)/(-34))?
8
Suppose 2*a + 2*x = 16, -2*a = -0*x + x - 18. Suppose 0 = 5*f - a, -5*j = -5*f - 81 - 99. Suppose 3*h - j = -5. Calculate the remainder when 37 is divided by h.
4
Suppose 5*i - 697 = 2*z, i + z + 4*z = 134. Let f = i - 108. What is the remainder when 60 is divided by f?
29
Suppose -5*f + 0 + 5 = 0, -4*f = -3*m - 436. Let y = -114 - m. What is the remainder when 30 is divided by y?
0
Let j = 18996 + -14460. Calculate the remainder when j is divided by 40.
16
Suppose -4*i + 3*a = -542 + 216, -4*i - a = -318. Let v = 6 - -3. Let o(c) = -3*c**2 + 29*c + 9. What is the remainder when i is divided by o(v)?
26
Suppose -8*g + 4*g + f + 64 = 0, 3*g + 3*f - 33 = 0. Let j(h) = -9*h**3 + 260*h**2 + 45*h - 243. Calculate the remainder when j(29) is divided by g.
11
Suppose 237*f - 236*f = -5*w + 12, 2*w - 12 = -f. Calculate the remainder when 118 is divided by f.
10
Let m(d) = -2*d**2 - 6*d + 56. Let y(c) = c**2 - 2*c - 1. Let a(w) = m(w) + 6*y(w). Calculate the remainder when 111 is divided by a(4).
27
What is the remainder when 165 + -3*(40/(-45))/4*-6 is divided by 41?
38
Let r be 4 + 1 - (-3)/(-3). Suppose -v - 315 = -r*v. What is the remainder when v is divided by 26/1 - (9 + -1 + -9)?
24
Let g be 12/42 + (-2148)/21. Let l = g - -154. Calculate the remainder when l is divided by 28.
24
Let l = -555 - -635. Suppose -6*h - 5*n - 14 = -2*h, -7 = -3*h + 5*n. What is the remainder when l is divided by (h - 12/(-9))*63?
17
Suppose -x - 220 = -6*x. Suppose 0 = 3*p + 2*q - 426, 7090*p - 7095*p = 2*q - 698. What is the remainder when p is divided by x?
4
Let m be (-154)/126 - (-2)/9. What is the remainder when (644 - 3/m) + -4 is divided by 46?
45
Let v(j) = 2*j**2 - 4*j - 4. Let z(c) = 169*c**2 + 262*c - 85. What is the remainder when z(-2) is divided by v(4)?
7
Let l = -46 - -49. Let w(v) = 2*v**2 - 5*v + 2. Let d be w(l). Suppose 86 = f + d*i - 2, 0 = 5*f - 2*i - 440. Calculate the remainder when f is divided by 18.
16
Let x = -222 + 107. Let q = -8 - -24. What is the remainder when (-20)/25*x/2 is divided by q?
14
Let b(a) = -a**3 - a**2 - 49*a - 21. What is the remainder when b(-6) is divided by 153?
147
Suppose -4*z = 0, 13*z = -2*m + 8*z + 330. Calculate the remainder when m is divided by 11.
0
Let s(g) = -3*g**3 + 169*g**2 - 50*g - 129. Calculate the remainder when s(56) is divided by (-8288)/(-154) + (-4)/(-22).
45
Let r = -2966 + 3078. What is the remainder when r is divided by 63?
49
Let t be (-76)/(-4) + (-2 - -10)/(-8). Calculate the remainder when 6/27 - (-2534)/t is divided by 20.
1
Let q(u) = -u**3 + 14*u**2 + 96*u - 942. Suppose 5*y - y = -5*a + 182, -4*a = -4*y - 160. What is the remainder when q(16) is divided by a?
6
Let d(r) = r**3 + 18*r**2 + 16*r - 4. Calculate the remainder when d(-10) is divided by 155.
16
Let x = -348 + 324. What is the remainder when (-40)/x*3*41 is divided by 16?
13
Let b(p) = 3*p**3 + 7*p**2 - 48*p - 62. Calculate the remainder when b(6) is divided by 80.
70
Let b(k) = -177*k**3 + k**2 - 24*k - 24. What is the remainder when b(-1) is divided by 72?
34
Suppose -h = -4*q + 92, 4*q + 5*h + 26 = 94. What is the remainder when ((-514)/10 - -1)/((-6)/20) is divided by q?
14
Let u(m) = m**3 + 4*m**2 - 7*m. Let v be u(-5). Suppose -g + 2*y = -v, -22 = -3*g - 5*y + 19. What is the remainder when 27 - (-1 - -7) - -12 is divided by g?
9
Suppose -13*b + 5*b = 4*b - 1500. What is the remainder when 3624 is divided by b?
124
What is the remainder when 239 is divided by (-4000)/300*(38/(-72) - 8/36)?
9
Suppose -96*g + 360 = -24*g. Calculate the remainder when 241 is divided by g.
1
Suppose -5*y + 248 = 3*d, 2*d = -0*y + y + 174. Suppose -5*r - 107 = -2*j, 6*r - 4*r = -2*j + d. Calculate the remainder when j is divided by 9 - -1 - (0 + -2).
10
Let w = -425 + 441. Let o(f) = 8*f**2 + f**3 - f + 10*f + f - 3*f + 9. Calculate the remainder when o(-4) is divided by w.
13
Let m(i) = 6066 - 6069 + i**2 - 2*i + 12*i**2. What is the remainder when m(2) is divided by 10?
5
Suppose -f + 98 = -151. Let m = 277 - f. Calculate the remainder when 130 is divided by m.
18
Suppose 0 = -2*w - 12, -5*k + 2*w + 7 = -25. Suppose -39 + 11 = -7*o. What is the remainder when k is divided by o?
0
Let p(a) = -14*a**2 + 8*a - 17. Let z be p(-5). Let n = z + 425. What is the remainder when 46 is divided by n?
10
Let n(y) be the first derivative of -5*y**2/2 + 26*y - 28. Let j be n(5). Calculate the remainder when (j + -13 + 2)*174/(-12) is divided by 37.
34
Let b(t) = 6*t - 21. Suppose -5*g - 121 = -181. Let p be b(g). What is the remainder when 74 is divided by (-3)/6 + p/2 + 1?
22
Let i = 2 - -65. Suppose -1781 - 1351 = -87*u. What is the remainder when i is divided by u?
31
Let q(k) = -k**3 - k**2 - 3. Let u be q(-2). Suppose 3*m + 5*w - 34 = -0*m, -2*w - 2 = -4*m. Calculate the remainder when (5 + -2)*(42/9)/u is divided by m.
2
Let z be (3/(-8))/((-1)/8). Suppose 4*i = 6*i + 2*u + 10, 0 = -z*u. Let p(y) = -y**2 - 9*y + 2. What is the remainder when p(i) is divided by 8?
6
What is the remainder when 6562 is divided by (-88)/(-286) - (-1682)/26?
62
Suppose 2*z = 10 + 16. Let v = -443 - -830. What is the remainder when v is divided by z?
10
Let d = 524 - 461. Suppose 0 = -7*g + 2 + 117. What is the remainder when d is divided by g?
12
Let b(a) = -2*a - 9. Let v(j) = -9*j - 35. Let s(k) = 22*b(k) - 6*v(k). Let q(m) = m**2 + 7*m + 3. What is the remainder when s(3) is divided by q(-8)?
9
Suppose -2*l = -4*r - 46, -l = -38*r + 34*r - 27. What is the remainder when 1438 is divided by l?
13
Let k = -85 - -184. Let p = -45827 - -46011. Calculate the remainder when p is divided by k.
85
Suppose b + 251 = 2*p - 2*b, -5*b - 129 = -p. Suppose 4*l - p = 172. Suppose 16*s + 69 = 469. Calculate the remainder when l is divided by s.
24
Let v = 100 - 96. Suppose b + 578 = 3*i, 334 = 4*i - v*b - 450. Calculate the remainder when i is divided by 32.
31
Suppose -2*c - 100 = -6*c. Let l(r) be the first derivative of r**4/4 + 13*r**3/3 - 17*r**2/2 + 57*r - 147. Calculate the remainder when l(-14) is divided by c.
24
Let r be 12/(-48)*(-1 - 7). Suppose -f + 10*w = 5*w - 105, 4*f - 464 = -r*w. Calculate the remainder when f is divided by 57.
1
Let s(q) = -q + 36. Let p(v) = -5*v + 144. Let k(j) = -2*p(j) + 9*s(j). What is the remainder when 27 is divided by k(-34)?
1
Let r(s) = -s**3 + 24*s**2 - 41*s - 16. Let g = 7 + -29. Let w = g - -35. What is the remainder when r(22) is divided by w?
11
Suppose -28*x + 32*x = 4*a - 408, -23*a = -3*x - 2526. What is the remainder when a is divided by -59*1*1/(-1)?
52
Calculate the remainder when 173 is divided by 2618/495*9 + (-14)/(-10).
26
Suppose -5*b = a - 343, 2*b + 4 = 8. Calculate the remainder when a is divided by 49.
39
Let c be (-1*5)/(10/(-36)). Suppose w + 0*w = -2*q + c, -3*w = -3*q + 27. Calculate the remainder when 45 is divided by q.
0
Suppose 3*a + 2*k + 94 = 0, 0 = 4*k + 13 - 5. Let w = 4 + 81. What is the remainder when w is divided by (274/137)/((-4)/a)?
10
Let j be 1/((-5)/6 + 1). Let k(s) = 37*s + 31*s + 1 - 94*s + 36*s. What is the remainder when k(j) is divided by 16?
13
Let l be (-201)/7 - (376/(-56) - -7). Let z = l + 186. What is the remainder when z is divided by (3/(-2))/(3/(-80))?
37
Suppose -194*f + 198*f + 5987 = 3*m, 3976 = 2*m + 5*f. What is the remainder when m is divided by 33?
13
What is the remainder when 836 is divided by 16*12/(-192) + -3*(2 + -37)?
4
Suppose 8*t - 365 = 3*t + 4*b, -3*t + 219 = 5*b. Suppose -5*y = -3*j + 84, 3*y = j + 425 - 453. Calculate the remainder when t is divided by j.
17
Suppose -3*s + 57 + 45 = 0. Suppose -2*c + 7*c - 16 = -4*l, 0 = 4*c + 2*l - 8. Sup