te the remainder when a is divided by f.
13
Suppose 3*c + 15 = 0, -3*y = c - 197 + 34. Suppose 948 = y*i - 52*i. What is the remainder when i is divided by 24?
21
Let n(u) = -9*u + 94. Let x be n(9). Let k(c) = c**2 - 13*c + 53. What is the remainder when 156 is divided by k(x)?
50
Suppose 0 = -2*v - 2*v + 352. Let x = 39157 + -39148. What is the remainder when v is divided by x?
7
Let z = 3552 + -2997. What is the remainder when z is divided by 30?
15
Let p(x) = -x**2 + 29*x + 924. What is the remainder when 12/18*-9 - -66 is divided by p(48)?
0
Suppose 3120 = 17*t - 2*t. Suppose 5*x - y = 364, 2*x + 63 - 208 = y. Calculate the remainder when t is divided by x.
62
Let c(b) = -3*b + 7. Let z(s) = -s**2 + 3*s - 12. Let q be z(5). Calculate the remainder when c(q) is divided by 6.
1
Let f(t) = t**2 - 8*t - 81. What is the remainder when f(-7) is divided by 20?
4
Let z = 25 + 2. Suppose -6*x = 6 - 18. Suppose -141 + 35 = -x*f. What is the remainder when f is divided by z?
26
Suppose -2*g + 4*g - 14 = 0. Let i(j) be the third derivative of 7*j**4/12 + 5*j**3/2 - 17*j**2. What is the remainder when i(g) is divided by 29?
26
Suppose 2*r - 100 = -3*r. Let z = -434 + 439. Suppose 4*d + z*n = 252, -13 + 25 = 3*n. Calculate the remainder when d is divided by r.
18
Suppose 0 = -3*z + 410 - 119. What is the remainder when z is divided by (-21)/(-2)*18/(-27)*-7?
48
Let x(r) = 2*r**3 + 51*r**2 - 13*r + 9. Calculate the remainder when x(-3) is divided by 434.
19
Suppose -4*w - 5*u + 309 = 0, -5*w - 172 + 592 = -5*u. What is the remainder when w is divided by 4?
1
Suppose -3*l - 332 = -4*l. Let f = 736437 + -736421. What is the remainder when l is divided by f?
12
Let w = -3071 - -3284. Calculate the remainder when w is divided by 111.
102
Let i = 50 - 22. Suppose -14*d = 3*d - 136. Suppose 23 = 3*s + d. Calculate the remainder when i is divided by s.
3
Suppose -58*g = -47*g - 132. Suppose -2*x - 13*d + 19 = -g*d, 3*d = x + 8. What is the remainder when 106 is divided by x?
1
Suppose -190 = -6*d + 556 - 2. Let y be (-2)/(-3) - 233/3. Let x = d + y. Calculate the remainder when 232 is divided by x.
44
Suppose -5*b + b - 4*g = 0, -2*g - 20 = -2*b. Let j = 251 - 209. Suppose -j = -5*t - r, 6*t - 2*t = -4*r + 24. Calculate the remainder when t is divided by b.
4
Let s(w) = -4*w - 2. Let x be s(3). Let r be -1*2/14 - 72/x. Suppose f - z = 17, -f - f + 6 = r*z. What is the remainder when 63 is divided by f?
11
Let v = -86 - -1244. What is the remainder when v is divided by 145?
143
Suppose -33*l = -58 - 74. Suppose 0 = -4*h - 5*c + 607, -5*c - 183 = l*h - 5*h. Calculate the remainder when h is divided by 35.
18
Suppose 4835 - 22551 = -36*t + 9716. What is the remainder when t is divided by 4?
2
Suppose -4*n + 78 = n - 3*q, -4*n + 52 = -5*q. Suppose 4*y = 7*y - n. Let s = 0 - -21. Calculate the remainder when s is divided by y.
3
Suppose g - 46 + 28 = 0. Let i = 18 - g. Suppose 3*c + 232 = 2*p - i*c, -4*p + 472 = -2*c. Calculate the remainder when p is divided by 12.
11
Suppose -3*b = 2*g - 244, 13*b + 146 = 15*b - 2*g. Calculate the remainder when b is divided by 34.
10
Let r = -3842 - -6960. Calculate the remainder when r is divided by 48.
46
Let b = 20904 + -13424. Let u be 1/9 + b/72. Let d = u - 100. Calculate the remainder when 13 is divided by d.
1
Let y = -15795 + 15797. What is the remainder when 2380 is divided by y?
0
Suppose -84*i + 462 = -63*i. Let r = -37 - -71. What is the remainder when r is divided by i?
12
Suppose 2*j + 14*j = 64. Suppose n + j*m = 5*m + 7, 3*n + 3*m = 39. Suppose -330 = -35*z + 30*z. Calculate the remainder when z is divided by n.
6
Let s = -1235 - -1644. Calculate the remainder when s is divided by 23.
18
Suppose 3617*q = 3607*q + 5730. What is the remainder when q is divided by 150?
123
Suppose 0*m = -m + 92. Calculate the remainder when m is divided by 4*76*(-7)/(-112).
16
Let j(c) = -c**3 + c**2 + 44*c + 36. Calculate the remainder when j(-10) is divided by 39.
33
Let i(d) = 14060*d + 28185. Suppose -x + 3*t + 48 = 0, x + 93 = 3*x - 3*t. Calculate the remainder when i(-2) is divided by x.
20
Let v(p) = -p**3 - 9*p**2 - 3*p - 5. Suppose -3*f - 17 = 2*j, 0 = -3*f - 3*j + 8*j - 52. What is the remainder when v(f) is divided by 3?
1
Suppose -116 + 86 = -15*c. Suppose 0 = 4*j + c*q - 224, 4*j + 41*q - 236 = 42*q. Let d(f) = -f**2 + 12*f - 3. What is the remainder when j is divided by d(7)?
26
Suppose -5*g + 440 = 4*o, 4*g + 561 = 4*o + 121. Let w(x) = -76*x - 5076. Calculate the remainder when o is divided by w(-67).
14
Let l(f) = 5*f**2 + 189*f + 11. What is the remainder when (-2)/((-5)/(470/4)) is divided by l(0)?
3
Suppose 0 = -2*m - 0*m + 52. Suppose 5614*h = 5705*h - 1547. What is the remainder when m is divided by h?
9
Suppose 385 = -d + 6*d. Suppose -2*f + 4*i = 420, 5*f + i = -4*i - 1110. Let h = -198 - f. What is the remainder when d is divided by h?
17
Let m(z) = -4*z + 30. Let p be m(7). Let f(u) = 2*u**2 - 1. Let l be f(p). Suppose l*v = 12*v - 135. Calculate the remainder when 79 is divided by v.
25
Let i be 10*6/30 - -58. What is the remainder when (-30)/i - (-78)/4 is divided by 6?
1
Let y(k) = 11*k**2 - 2*k - 3. Suppose -1340 = -3*t + 898. Let n = t + -725. What is the remainder when y(-3) is divided by n?
18
Suppose 11*q - 48 = 5*q - 10*q. Calculate the remainder when 97 is divided by q.
1
Suppose 49*x + 3381 = 84*x + 14*x. Suppose 0 = -2*j + 176 + 124. Calculate the remainder when j is divided by x.
12
Suppose -5*t + 794 = -3*o, 3*t + o = 269 + 213. Calculate the remainder when 7357 is divided by t.
157
Let o(b) = -132*b + 1358. Calculate the remainder when 830 is divided by o(10).
32
Let l = 3685 + -1303. Calculate the remainder when l is divided by 395.
12
Let r(o) be the third derivative of o**5/60 + o**4/24 - 3*o**3 + 22*o**2. Let q be r(5). Suppose 398 + 598 = q*v. What is the remainder when v is divided by 12?
11
Let d = -8466 - -11867. What is the remainder when d is divided by 131?
126
Let b be (-26390)/78 + (-1 - (-12)/9). Let d = b + 431. What is the remainder when d is divided by 34?
25
Let o = 53 - 49. Suppose 2*v + 5*b - 99 = -v, -132 = -o*v + 4*b. What is the remainder when 55 is divided by v?
22
Let g(f) = -124*f - 1750. Calculate the remainder when g(-26) is divided by 26.
18
Suppose -152 = -4*f - 2*m, f + 0*m - 52 = 3*m. Suppose -k - 50 = 5*p, -k = 2*k + p + 150. Let h = -29 - k. Calculate the remainder when f is divided by h.
19
Suppose -4*p + 2*b + 504 + 68 = 0, 4*b = -4*p + 584. Suppose 6*n + 54 - p = 0. Calculate the remainder when n is divided by 2.
1
Suppose -4*w - z = -383, 21*w - 196 = 19*w + 4*z. What is the remainder when w is divided by 15?
6
Suppose -23 - 58 = -3*t. Let o(y) = y**3 + 12*y**2 + 30*y - 26. What is the remainder when t is divided by o(-7)?
0
Suppose z = -2*o + 430, -224 = -o + 10*z - 6*z. Calculate the remainder when o is divided by ((-88)/(-6))/(6/18).
40
Let n(k) = -k**3 - 41*k**2 + 131*k - 51. Let q be n(-44). Calculate the remainder when 0/(-6) - -275 - q is divided by 22.
18
Let r(g) = 2*g + 49. Let h = 39 + -62. Let x be r(h). Suppose -x*f + 3*q = -36, 4*q = -5*f + 6*q + 57. Calculate the remainder when 30 is divided by f.
8
Let a(z) = -z**2 + z + 101. Suppose 0 = -5*b, b + 5*b = -3*d + 2*d + 9*b + 34. Calculate the remainder when a(0) is divided by d.
33
Suppose -3*s - 3 = -6*s. Let n be s + -1 + (-46)/(1 + 1). Let u(q) = -q**3 - 22*q**2 + 24*q + 30. What is the remainder when u(n) is divided by 2?
1
Let i(q) = 235*q - 4907. What is the remainder when 1224 is divided by i(21)?
20
Suppose -2*v = -35 - 9. Let h = -503 - -566. What is the remainder when h is divided by v?
19
Suppose 7*d + 14 = 63. Suppose -w - v + 10 = 0, d*v + 20 = 2*v. Let p(o) = 6*o + 65. Calculate the remainder when w is divided by p(-10).
4
Let r(z) = -3*z - 4. Let w be r(-3). Suppose 2*y + 5*p - 148 = 0, p + w = 1. What is the remainder when y is divided by 22?
18
Suppose -2*m = 2*m + 464. Let c = m - -268. What is the remainder when c is divided by (-1)/(-20)*-68*-5?
16
Let x = -1749 + 3583. Calculate the remainder when x is divided by 10.
4
Suppose 4*u - 86 = -2*o, -5*u = -o - 72 - 32. Suppose 2*f - a - 46 = -u, f - a = 10. What is the remainder when 2 + (-2 - -2) + 31 is divided by f?
3