4*i, 0 = -4*t + 5*i + 174. What is the remainder when 217 is divided by -21 + t + (1 - 4)?
19
Let f = 5006 + -4859. Calculate the remainder when 890 is divided by f.
8
Suppose 1 - 11 = -5*j. Suppose 80 = 5*w - 3*v, -5*v = -j*w - 3*w + 80. Calculate the remainder when (455/(-10))/7*(0 - 14) is divided by w.
11
Let u be 5/(0 + 5)*85. Suppose -m + u = -70. What is the remainder when m is divided by 16?
11
Let h(j) = -223*j**2 + 687*j**2 - 228*j**2 + 16*j - 232*j**2 - j**3 - 32. Let c = 91 + -56. Calculate the remainder when c is divided by h(2).
3
Suppose -4 = 2*g, 15 = -10*j + 11*j - g. Let k = -8 + 8. Suppose k*m - 46 = -2*m. What is the remainder when m is divided by j?
10
Let w(j) = -j - 6. Let y be w(-4). Calculate the remainder when -3 + 70/(4 - (-4)/y) is divided by 12.
8
Suppose -9*u - 35 = -4*u - 4*g, -g = 0. Let l be (-12)/u + 16/56. Suppose -k = -2*k - 3, -k = -l*a + 37. What is the remainder when 33 is divided by a?
16
Calculate the remainder when 257 is divided by (-3224)/(-72) - ((-20)/9 + 2).
32
Let b be (1 - 14/2)/(6/(-656)). Suppose -87*l + b = -83*l. Let c(o) = -6*o + 3. What is the remainder when l is divided by c(-5)?
32
Suppose -8*g = -r - 18 - 47, 5*g - 36 = -4*r. Calculate the remainder when 42 is divided by g.
2
Suppose 20*k + 240 = 960. Suppose -12*y + 45 = -7*y. Let u(p) = p + 4. Calculate the remainder when k is divided by u(y).
10
Let h = 3 - 1. Let x be (10 + -9)/(h/(-8)). Calculate the remainder when 2290/110 - x/22 is divided by 8.
5
Let c be (767*(3 + -2))/(-1). Let k = c + 800. Calculate the remainder when 296 is divided by k.
32
Let g(c) = 2*c**2 - 309*c - 9968. Calculate the remainder when 680 is divided by g(-29).
5
Let t(n) = -2*n + 8. Let d be (-2)/(-6) - 11/(-3). Let g be t(d). Suppose -2*l + 23 + 31 = g. What is the remainder when l is divided by 7?
6
Suppose -9*l - l = 100. Suppose -3*z - z + 332 = 0. What is the remainder when z is divided by l/10*-21 + 1 + -1?
20
Suppose -28*w - 8927 + 13967 = 0. What is the remainder when 680 is divided by w?
140
Suppose -26 - 16 = -7*l. Let r(o) = -26*o + l*o + 12*o + 35 + 7*o. What is the remainder when r(26) is divided by 4?
1
Let r = -6291 + 7945. Calculate the remainder when r is divided by 36.
34
Let d(u) = -4*u**2 - 3*u - 4. Let f(k) = -1. Let p(m) = -d(m) - 4*f(m). Calculate the remainder when 84 is divided by p(-3).
14
Suppose -12*d + 3910 = 22*d. Suppose -d*k + 119*k = 1752. What is the remainder when k is divided by 44?
42
Let u(w) = 112*w - 134. Calculate the remainder when u(5) is divided by 107.
105
Suppose 97*o - 5402 = 709. What is the remainder when 372 is divided by o?
57
Let t(b) = 60*b**3 + 2*b**2 + b. Let z be t(-1). Let l = z + -10. Let j = -24 - l. What is the remainder when j is divided by 24?
21
Let z be (2 - 9/3)*-17. Suppose 15*k - z*k + 28 = 0. What is the remainder when 124 is divided by k?
12
Let b(u) = -u**3 + 16*u**2 + 18*u + 25. Let s be ((-4)/(-12))/(5/765). Suppose -s = 28*r - 31*r. What is the remainder when b(r) is divided by 16?
10
Suppose -g - 6*w + w = -31, 3*g - 5*w = -7. Let v be (-561)/(-44)*(-32)/g. Let d = v + 79. What is the remainder when 63 is divided by d?
8
Suppose 4*b + 58 = 334. Suppose 0 = -16*v + 176 + 1696. Let x = b + v. What is the remainder when x is divided by 21?
18
Let x(d) = -d**2 - 28*d + 27. Let y be x(-29). Let w(k) = 3*k**2 - 12*k - 21. Calculate the remainder when 69 is divided by w(y).
9
What is the remainder when (-5 + (-52)/(-13))*(-2481 - (-4 - -4)) is divided by 64?
49
Let v(h) = 7*h - 30. What is the remainder when v(15) is divided by 31 + 0 + (70 - 75)?
23
Suppose n - 80 = -11. Let z = 74 - n. Suppose -r - 3*w - 3 = -16, z = -3*r + 2*w. What is the remainder when 3 is divided by r?
0
Suppose v + 7 = -4*y, v - 5 = -4*v. What is the remainder when 207 is divided by (y - 0)*(3 - 2 - 16)?
27
Let d(s) be the first derivative of s**3/3 - s**2 - 2*s - 1. Let c = 9422 - 9415. Calculate the remainder when d(-7) is divided by c.
5
Let d = 10375 - 10166. Calculate the remainder when 781 is divided by d.
154
Suppose 189 = -3*a - 69. Let u = 92 + a. Calculate the remainder when (6 - (-114)/(-18)) + 176/u is divided by 8.
5
Let i = -3 - 38. Let n = 46 + i. Suppose 148 = n*x - z, 0 = 5*x - 0*z - 5*z - 160. What is the remainder when 115 is divided by x?
28
Suppose -3*t - 95 = -3*v - 17, -4*v - 3*t + 118 = 0. Let k = v + -23. Let z(x) = -x**2 - 5*x + 16. What is the remainder when k is divided by z(-7)?
1
Let p(x) = -x + 19. Suppose -10 - 2 = -3*v. Suppose 7 = 4*a + v*g - 1, 0 = -3*g + 6. What is the remainder when 93 is divided by p(a)?
17
Let w(s) = -22*s - 1628. What is the remainder when 432 is divided by w(-80)?
36
Suppose -265 = 10*o - 655. Calculate the remainder when 1360 is divided by o.
34
Suppose -2*x - 186 = -3*n - 0*x, -x - 3 = 0. Suppose 6*r + 756 = 3*r. Calculate the remainder when n is divided by (r/(-35) + 1/(-5))*3.
18
Suppose 5*a + 2*d = 8*a - 499, -2*d + 670 = 4*a. What is the remainder when 674 is divided by a?
6
Let w = -20 + 34. Suppose 0 = w*o - 16*o. Suppose o = s + 3*s - 112. What is the remainder when 110 is divided by s?
26
Let y be (6 - 1704/(-18))*(0 + 54). Suppose 12*s - 4332 = y. Calculate the remainder when s is divided by 51.
49
Suppose -4*b = b - 795. Let c(x) = 2*x**3 + 60*x**2 + 8*x + 263. Calculate the remainder when b is divided by c(-30).
21
Let y = -4354 - -4649. What is the remainder when y is divided by 33?
31
What is the remainder when 326 is divided by (-588)/((-14)/(-2))*12/(-18)?
46
Let k be 86/(4/3*(-7)/(-14)). Let z = k + -117. What is the remainder when 25 is divided by z?
1
Suppose 0*i + 14 = -2*i. Let r(y) = y**2 + 7*y + 16. Let v(z) = 13*z - 251. What is the remainder when v(24) is divided by r(i)?
13
Let p be 1/4 - (627/12)/(-11). Calculate the remainder when -5 + (97 - (-5 + p)) is divided by 20.
12
Suppose 3*o + 15 = 75. Suppose 22*d = 16*d + 48. Calculate the remainder when ((-785)/10)/((-4)/d) is divided by o.
17
Let s = -191 + 348. Let k = -113 + s. What is the remainder when 481 is divided by k?
41
Suppose 430*d - 81843 = -541 + 85538. What is the remainder when 1221 is divided by d?
57
Suppose 434 = 10*c + 2*j, 3*c - 76 - 47 = 3*j. Let u be -10*1*1/(-2). Suppose -51 = -u*l + 4*d, -4 + 0 = -4*d. What is the remainder when c is divided by l?
10
Let k = -2370 - -4136. What is the remainder when k is divided by 29?
26
Suppose -2*j - 8 = 0, 49*j + 169 = c + 44*j. Calculate the remainder when c is divided by 19.
16
Let x = -2 + 87. Let o(l) be the second derivative of l**5/20 - l**4/12 + 15*l**2 + 26*l. Calculate the remainder when x is divided by o(0).
25
Suppose -228*s = -222*s - 90. Calculate the remainder when 1364 is divided by s.
14
Suppose -32*i + 68782 = -23506. Calculate the remainder when i is divided by 480.
4
Suppose s = 3*k + 1022, s + 28*k - 1028 = 29*k. Calculate the remainder when s is divided by 74.
69
Let h(w) = -2*w - 1. Let b be h(24). Let s = b - -75. Calculate the remainder when 43 is divided by s.
17
Suppose 5*b + 5*m = 1995, -39*b + 42*b - 4*m - 1211 = 0. Calculate the remainder when b is divided by 14.
9
Calculate the remainder when (-7 - (-4)/(-1 + 5))*(-123)/6 is divided by 64.
59
Let q(r) = r - 11. Let v be q(13). Suppose -10 = -4*g - v. Suppose x - 57 = m - 3*m, g*x - 123 = 5*m. What is the remainder when x is divided by 31?
28
Let j(d) = 6*d**3 - d**2 + d - 26. Let y(q) = -5*q**3 + 3*q**2 - q + 26. Let w(g) = 4*j(g) + 5*y(g). What is the remainder when 41 is divided by w(11)?
11
Let g = -4 - -22. Suppose 17 = -g*n + 89. Suppose 2*x - 74 = 3*i, x + n*x + 2*i = 147. Calculate the remainder when 59 is divided by x.
28
Let o(r) = -r**2 + 2*r + 82. What is the remainder when 558 is divided by o(-6)?
14
Let o = 34 + -32. Suppose 49 = 3*v - o*f, -34 = -5*v - 3*f + 16. Suppose 5*c + 0*c = 15. What is the remainder when v is divided by c?
1
Let p(c) = c**2 - 21*c - 22. Let a be p(22). Let r = 13 - a. What is the remainder when 28 - (-2 + -2 - -8) is divided by r?
11
Suppose 8*v = 4*k - 476, 476 = 4*k - 23*v + 27*v. Calculate the remainder when k is divided by 354/15 - 8/(-20).
23
Let n(w) = -2*w**2 + 71. Let r(g) = 4*g + 17. Let h be r(-4). Let s(z) = -z**2. Let l(y) = h*n(y) - s(y). Calculate the remainder when l(0) is divided by 38