z = 10 - -78. Suppose 0 = 4*k - 8*k - z. Let d = k + 35. What is the remainder when 29 is divided by d?
3
Suppose 105*i - 118437 = 8*i. Calculate the remainder when i is divided by 72.
69
Suppose -w - 4*i - 566 = -172, 1661 = -4*w + i. Let d = 499 + w. Calculate the remainder when d is divided by 45.
40
Let d(g) = 2*g**3 + 7*g**2 + 6*g + 4. Let r be d(-3). Calculate the remainder when 17 is divided by 7*(5/(-7))/r.
0
Suppose -2*g - 2*f - 385 = -3*g, 0 = g - 3*f - 387. Let v = g - 357. Calculate the remainder when 71 is divided by v.
23
Let w(q) = q**3 - 40*q**2 + 339*q - 3. Calculate the remainder when 381 is divided by w(12).
18
Let g(n) = 166*n - 8064. Calculate the remainder when g(57) is divided by 40.
38
Let y = 46946 + -46890. Calculate the remainder when y is divided by 14 + (0 - -1)/1.
11
Calculate the remainder when 1714 is divided by -1*(-1)/8*1402 - (-5)/(-4).
148
Let q be 1708/(-42)*(-3)/(-2) - 4. Let k = q - -70. Suppose -3*y - y = -k*f + 341, 350 = 5*f + 5*y. Calculate the remainder when f is divided by 9.
6
Let l(m) = 3*m**2. Let g be l(1). Let n be -2 - -3 - 11*3/g. What is the remainder when 33 is divided by (9/(-5))/(0 - (-2)/n)?
6
Suppose 0 = -59*a + 1963 + 1577. Calculate the remainder when a is divided by 38.
22
Let v(k) = -11*k - 77. Let w be v(3). Calculate the remainder when 306 is divided by (-8382)/w + (-4)/(-5).
75
Suppose 2 = p - 1. Suppose -4*f - d + 2*d = -53, p*f - 3*d - 51 = 0. Suppose -f*l = -903 - 93. What is the remainder when l is divided by 43?
40
Let r = -3980 + 4299. What is the remainder when 644 is divided by r?
6
Let t(m) = -7*m - 67. Suppose 0 = -2*w + 2*q - 59 + 41, 4*w + 4*q = -60. What is the remainder when 49 is divided by t(w)?
15
Let k(h) = -82 - 27 + 85 - 47*h - 26. What is the remainder when k(-5) is divided by 17?
15
Let v be 18/(-6)*(1 - 12/9). Let u(o) = -o**2 + 9 - 32 + 12 + 26*o**3 + 10 + 2*o. Calculate the remainder when u(v) is divided by 14.
12
Let u be (-5)/2*(-1 - 1). Let m be (5 - -58)*1 - 3. Suppose -c + u*f + m = 0, -4*c - 4*f + 3*f + 303 = 0. What is the remainder when c is divided by 38?
37
Suppose -r + 11 - 8 = 0. Suppose -7*d + 6*d + r = 0. Suppose -4*i + d*q = -14, -6*q = -2*i - 2*q + 12. What is the remainder when 3 is divided by i?
1
Let c(i) = -i + 13. Let b be c(2). Suppose 14*a = b*a + 15. Calculate the remainder when 24 is divided by a.
4
Let s(l) = -8*l + 28. Let j be s(3). Suppose 19 = -3*q + j*q. Calculate the remainder when ((-24)/15)/((-3)/90) is divided by q.
10
Suppose 215*t - 110*t + 33 = 108*t. Let w = 35 + -4. What is the remainder when w is divided by t?
9
Let a(w) = 42*w + 451. Calculate the remainder when 298 is divided by a(-9).
6
Suppose -236*v + 225 = -231*v. What is the remainder when 103 is divided by v?
13
Suppose 0 = 4*a + s - 43, 4*a - 2*s - 34 = -0*s. Calculate the remainder when ((-380)/8)/((-2035)/3256) is divided by a.
6
Let b = -147 - -218. What is the remainder when ((-12)/(-16))/(-6 + (-16925)/(-2820)) is divided by b?
68
Let y = 6822 - 6703. Let h = -47 + 77. Calculate the remainder when y is divided by h.
29
Let m(l) = -5*l**2 - 25*l. Let q be m(-4). Suppose 0 = q*a - 16*a - 108. What is the remainder when 241 is divided by a?
25
Let v(x) = x**3 - 19*x**2 - 42*x + 21. Let h = 10 + -13. Let j = h + 85. What is the remainder when j is divided by v(21)?
19
Let o(y) = -225*y - 2172. Calculate the remainder when o(-14) is divided by 31.
17
Suppose 0 = -8*u + 54 + 618. What is the remainder when 1075 is divided by u?
67
Let q(h) be the first derivative of 8*h + 3/2*h**2 + 37. Calculate the remainder when q(8) is divided by 14.
4
What is the remainder when 478 + 6/9*(-84)/8 is divided by 164?
143
Let i = -278 + 282. Let w(t) = -2*t**2 - 28*t + 124. What is the remainder when w(-17) is divided by i?
2
Let m(j) = j**3 - 26*j**2 - 28*j - 137. What is the remainder when m(32) is divided by 15?
11
Let a = 2516 - 181. What is the remainder when a is divided by 45?
40
Let z(i) = -i - 4*i - 3*i + 7. Let j = -8455 + 8473. Calculate the remainder when z(-8) is divided by j.
17
Let t(l) = 4*l**3 - 2*l**2 + 5*l + 1. Let y be t(2). Calculate the remainder when y + (-3)/15*0 is divided by 23.
12
Suppose -2*f + 9 = 7, -4*f = 4*l - 4. Suppose 2*t - 200 + 122 = l. Suppose 8*s - 89 = 3*s - 4*y, -5*s = y - 101. What is the remainder when t is divided by s?
18
Let x(v) = -v**3 - 12*v**2 + 62*v + 214. Calculate the remainder when x(-16) is divided by 29.
14
Let j = -82 + 144. Calculate the remainder when 492 is divided by j/4 - 9/(-18).
12
Suppose 0 = -3100*w + 673031 + 1589969. Suppose 0 = o - 31 - 12. Calculate the remainder when w is divided by o.
42
Suppose 4*n - 14 = -2*r, 0*n - 2*r - 18 = -4*n. Suppose k = h - 14, -n*k - 23 - 21 = -3*h. Calculate the remainder when 23 is divided by h.
11
Suppose 4*m - 65 = 5*a, 40 = 5*m + 4*a + 10. Let u = -196 - -337. Let s = -106 + u. Calculate the remainder when s is divided by m.
5
Let h(x) = 138*x**3 + x. Suppose 17 = 17*v - 0. What is the remainder when h(v) is divided by 20?
19
Suppose 4*t + 118 = 110, 0 = -3*u - 3*t + 177. Calculate the remainder when u is divided by 9.
7
Suppose -79 = -3*k + 4*s, 2*k + 5*s - 126 = -2*k. Suppose 61 = -3*q + 538. What is the remainder when (-11)/(q/(-39) + 4) is divided by k?
27
Let b = -533 - -438. Calculate the remainder when 6672/152 + (-10)/b is divided by 12.
8
Let m = -4209 + 4315. Calculate the remainder when 804 is divided by m.
62
Let w(c) = -c - 6. Let t be w(-13). Let d(i) = 5*i + i**3 - 11 + 5*i - 29*i**2 + 21*i**2. What is the remainder when 37 is divided by d(t)?
7
Let c(p) = p**2 - 47*p - 346. What is the remainder when 104 is divided by c(-7)?
8
Suppose 0 = 3*b + 3*h - 2943, 13*b - 3*h - 4889 = 8*b. What is the remainder when b is divided by 320?
19
Let b = -434 + 636. Suppose -6*g = -4*g - b. Suppose -2*w - 5*u = -67, -11 = 3*w - 3*u - 80. Calculate the remainder when g is divided by w.
23
Let i(w) = -w**2 - 46*w - 483. Calculate the remainder when i(-17) is divided by 4 + -1 - (2 - 0).
0
Let x = 37 + -25. Suppose -3*q = 5*d - 2*q - 30, 5*q + 6 = d. Suppose -d*j = -5 - 19. What is the remainder when x is divided by j?
0
Let a be (-27)/(-6)*(-328)/(-12). Let h = -102 + a. What is the remainder when 49 is divided by h?
7
Suppose 660*g - 12183 = 604*g - 2271. What is the remainder when 503 is divided by g?
149
Suppose -44*r + 196 = 27*r - 22*r. Suppose -2*w - 2*w - 40 = 0. Calculate the remainder when ((-4)/(-6))/(w/(-165)) is divided by r.
3
Suppose 2*o - 396 = -2*h, -5*h + 203 + 832 = -4*o. Suppose 3*s + h = 851. Calculate the remainder when s is divided by 17.
12
Let j(u) = -u**3 - 2*u. Let h(m) = 14*m**3 - 3*m**2 + 3. Let i(c) = h(c) - j(c). What is the remainder when i(2) is divided by 59?
56
Suppose 3*o = -12, -3*b - 5*o + 40 = -3*o. Let d be ((585/2)/9)/((-1)/2). Let q = d - -128. What is the remainder when q is divided by b?
15
Let l be (-100)/(-6) + (-34)/6 + 6. Let q(t) = 2*t + 17. Let k be q(l). Let b = 70 - k. Calculate the remainder when 227 is divided by b.
18
Suppose -4 = c - 5, 2*f - 115 = -5*c. Calculate the remainder when 173 is divided by f.
8
Let c(d) = -9*d + 2. Let l = -464 + 632. What is the remainder when l is divided by c(-3)?
23
Let y = -609 - -645. Suppose 4*j - 45 = 3*h, -2*h + 6*h + 25 = 3*j. Let d(a) = a**3 - 15*a**2 + 10. Calculate the remainder when y is divided by d(j).
6
Suppose -4*k + 19*k = 60. Suppose -u - b = k*u - 1774, 0 = 3*u + b - 1066. Calculate the remainder when u is divided by 21.
18
Let f(r) = -9*r - 49. Let u be f(-6). Suppose i + 6 = -i - 2*z, u*i + 7 = -z. Calculate the remainder when 49 is divided by (-2 - i)/(4/(-104)).
23
Let y be (-1)/(-4) + 190/8. Suppose 3 = -7*w + y. Suppose -3 = w*t - 18. Calculate the remainder when 7 is divided by t.
2
Suppose 4*b + 12 - 95 = -11*l, -5*l + 130 = 5*b. Calculate the remainder when ((-12)/(-14))/((-2)/(-602)) is divided by b.
26
Calculate the remainder when (12/1)/(1 - -1) + 1 + 285 is divided by 145.
2
Suppose 0 = -5*d + 4*w + 902, -36*d + 5*w = -31*d - 900. What is the remainder when 407 is divided by d?
43
Let p(q) = q + 9. Let l be p(-5). Suppose l + 8 = o. What is the remainder when 226/5 + 13*20/(-1300) is divided by o?
9
Let d(l) = -4*l - 25. Let x be d(-16). Let f = 42 - x