m is divided by 15.
14
Let q(k) = k**3 + 5*k**2 + 2*k + 6. Let p be q(-3). Suppose u - p = 3*b, 4*u - 7 = 5*b + 37. What is the remainder when 63 is divided by u?
3
Suppose -2*m + 4*m + 718 = 3*q, -5*q - 3*m = -1241. What is the remainder when 1953 is divided by q?
1
Let h = -250 + 254. Suppose -2*n = 5*m - 153, 5*n = -h*m + 35 + 84. Calculate the remainder when m is divided by 2.
1
Suppose 2*b - 5*n - 37 - 1 = 0, 3*b - 57 = -2*n. Let h = -75 - -127. Let t = 59 - h. Calculate the remainder when b is divided by t.
5
Suppose -66*z + 54 = -60*z. Suppose 61 = -5*x + 91. What is the remainder when z is divided by x?
3
Suppose 64 = 2*b - 3*h, 3*b - 77 = -39*h + 34*h. Calculate the remainder when 142 is divided by b.
26
Suppose 4*b = y + 15, 6*y + 5*b = 3*y + 6. Suppose 4*x = 30 + 38. What is the remainder when y + 74 + -1*6 + 2 is divided by x?
16
Let c(l) = -179*l - 4461. Calculate the remainder when 646 is divided by c(-25).
2
Let x(u) = -613*u + 1225*u - 610*u - 9 - 2. Let k be ((1 - 1) + -6)*-1. Calculate the remainder when 2 is divided by x(k).
0
Let l(n) = -8*n + 53. Let q be l(6). Suppose q*z - 122 = -42. What is the remainder when 26 is divided by z?
10
Let m = 4323 - 4236. What is the remainder when 165 is divided by m?
78
Suppose -11*n = 112 - 2202. What is the remainder when 1892 is divided by n?
182
Let f(h) = h**2 - 56*h + 1501. Calculate the remainder when f(42) is divided by 906.
7
What is the remainder when 7963 is divided by (8/18)/(20 - (-104566)/(-5229))?
161
Suppose w - 747 = 10*w. Let g = -83 - w. Calculate the remainder when 27 is divided by -3 + 13 + -1*g/(-3).
7
Let x = 3676 + -1630. Calculate the remainder when x is divided by 49.
37
Suppose 135*s - 5270 = 101*s. Calculate the remainder when s is divided by 74.
7
Let a = 271 + -120. Let g = a - -255. What is the remainder when g is divided by 17?
15
Let q(w) = 87*w - 3 - 175*w + 82*w - 39. Suppose 2*g + 2*g = 88. Calculate the remainder when q(-14) is divided by g.
20
Suppose 0 = 7*l - 0*l - 42. Let h(s) = s**3 - 5*s**2 - 4*s - 8. Let d be h(l). Suppose d*n - 42 - 90 = 0. What is the remainder when n is divided by 19?
14
Let o(r) = -127*r + 2 + 136*r + 28. Calculate the remainder when o(2) is divided by 22.
4
Let i be (-56 - -2)*(-1)/2 - -2. Let h = i - -7. What is the remainder when h is divided by 14?
8
Let n(o) = -4*o + 32. Let c be n(-13). Let m = c + -136. Let r = -46 - m. What is the remainder when r is divided by 5?
1
Let d = -26 + 28. Suppose 3*m + d*m - 20 = 0. Suppose 0 = -2*g - 2*z + 294, 5*g - 511 - 242 = m*z. What is the remainder when g is divided by 38?
35
Let i(w) = -2*w**3 - 63*w**2 - 14*w - 32. Let t be i(-32). Suppose 0 = -23*l - 7*l + t. Calculate the remainder when l is divided by 9.
3
Suppose -1970 - 2030 = -400*j. What is the remainder when 185 is divided by j?
5
Suppose -8*n + 4*n - 2*r - 518 = 0, -r + 134 = -n. Let t = 287 + n. Suppose -28*q + t = -15*q. What is the remainder when 53 is divided by q?
5
Suppose 856*q - 110 = 851*q. What is the remainder when 125 is divided by q?
15
Let v(h) = h**3 - 4*h**2 + 525*h - 5838. Suppose -250 = -3*w + 2*w. Calculate the remainder when w is divided by v(10).
10
Suppose 0 - 5 = -2*i + 3*r, -2*i + 26 = 4*r. Let y(p) = 6*p**2 + 197*p + 6. What is the remainder when y(-33) is divided by i?
4
Suppose 2*f = -2*f + 2140. Suppose -4*c - c = -f. Calculate the remainder when c is divided by 54*(1/3)/(4 - 3).
17
Suppose 4*o + 3*j = -0*j + 81, 5*o + 4*j - 100 = 0. Let y = -94 + 93. Calculate the remainder when o is divided by y*(-3 - (-5 + 9)).
3
Let x(u) = -u - 5. Let z be x(-9). Suppose -32 = -5*m + 3*m. Calculate the remainder when ((-23)/z)/(11/(-88)) is divided by m.
14
Suppose -3*u - r = -5*u + 218, -2*u - 2*r = -218. Suppose -126 = -5*y + u. Suppose 14*a = 201 - y. What is the remainder when 54 is divided by a?
10
Suppose 743 = 3*x + 788. Let a = 39 + x. What is the remainder when 116 - (-1 + 0 + 0) is divided by a?
21
Let s be -102*(-7)/(147/28). Suppose 0 = -20*z + 324 + s. What is the remainder when 54 is divided by z?
8
Suppose -4*r = -3*r + 3*i - 11, r + 5 = 5*i. Suppose -2*s - 151 = 2*s - r*z, -3*z + 192 = -5*s. Let c = s - -80. What is the remainder when 120 is divided by c?
38
Let g = -37 - -46. Let t(d) = -4 + 35*d - g + 14 - 8. Calculate the remainder when t(2) is divided by 22.
19
Suppose 15*d - 1 = 74. Suppose -3*v = -x + 44, 3*x + x - d*v = 176. What is the remainder when 304 is divided by x?
40
Calculate the remainder when (3/(-4))/((-351)/196092) is divided by 28.
27
Let j(w) = -2*w**2 - 18*w + 7. Let x be j(-9). Suppose -x + 9 = t. Calculate the remainder when 14 is divided by t.
0
Let l(r) be the first derivative of -r**3/3 + 13*r**2/2 + 105*r - 165. What is the remainder when 137 is divided by l(17)?
26
Let m be ((-68)/20 + 4)*(-50)/(-15). Suppose -3*q - u + 155 = 0, m*u - 210 = 8*q - 12*q. What is the remainder when q is divided by 6?
2
Suppose 5*z - 4*x - 22 = 0, 4*x + 5 = -7. Let w be 38/(-9 + 9306/1035). What is the remainder when z/3 + w/(-69) is divided by 13?
12
Suppose 6*y - 1856 = 1102. Let v = 743 - y. What is the remainder when v is divided by 85?
80
Suppose -2*k = 0, 3*k = -2*n + 6*k + 6. Suppose -m = m + n*m. Suppose m = -8*g + 2*g + 684. Calculate the remainder when g is divided by 29.
27
Let l = -14256 + 16589. Calculate the remainder when l is divided by 17.
4
Suppose 2*q - 183 = -q. Let f = q - 55. Suppose -2*j = -p - f, -4*j - j - 4*p + 28 = 0. What is the remainder when 26 is divided by j?
2
Suppose v = 8*f - 12*f + 9, 0 = -v + 15*f + 47. Calculate the remainder when 20345 is divided by v.
13
Let v(j) = -12*j - 29. Let i be v(16). Let u be 6/15*(-6 - i). Suppose 2*w - 44 = -2*c + w, 4*c = -w + u. What is the remainder when 62 is divided by c?
20
Let j(u) = 2*u**3 + 10*u**2 + 3*u - 10. Let y be j(8). Suppose 3*g - 934 = -5*a, -5*g = -3*a - y + 76. Calculate the remainder when g is divided by 32.
30
Suppose -17*j = -23*j + 6. Let m be (-62)/(12/(-9)*j/2). Let z = -53 + m. Calculate the remainder when z is divided by 14.
12
Suppose -10*z - 7*b = -8*z - 2148, 0 = 3*z - 2*b - 3247. Calculate the remainder when z is divided by 219.
205
Suppose w - 204 = -3*w. Let k be 18*-5*2/(-10). Suppose t - 3*t + 4*l + k = 0, 4*l - 37 = -3*t. Calculate the remainder when w is divided by t.
7
Let b(k) = 3*k**3 + 2*k**2 - 5*k + 4. Let o be b(1). Suppose t + 19 = 3*y + 48, -o*y = 2*t - 18. What is the remainder when 66 is divided by t?
15
Let g = 4206 + -3953. What is the remainder when g is divided by 85?
83
Suppose -2*y + 190 + 42 = -2*g, -5*g - 620 = 5*y. Suppose 257 = 26*h + 3689. Let b = g - h. Calculate the remainder when 40 is divided by b.
4
Let g = 1577 - 1436. What is the remainder when 700 is divided by g?
136
Let f(p) be the second derivative of p**3/2 + 33*p**2 - 2*p. Let x be (16/8 - -7)*(-28)/12. What is the remainder when 23 is divided by f(x)?
2
Let v(g) = g**2 + 36*g - 2455. Calculate the remainder when v(38) is divided by 74.
61
Suppose -510 = -4*c - 26*c. What is the remainder when 92 is divided by c?
7
Suppose 0 = o - 1, 0*m + 2*m - 3*o = 367. Calculate the remainder when m is divided by 43.
13
Suppose 0 = 10*y + 884 - 294. Let t(a) = -2*a**2 - 7*a - 2. Let k be t(-6). Let g = k - y. Calculate the remainder when 161 is divided by g.
26
Suppose 0 = 51*s - 52*s + 240. Suppose -3*y + s = y. Suppose -3*w = 5*b - 95, 3*w - 13 - 2 = 0. Calculate the remainder when y is divided by b.
12
Suppose 4*o = 16 - 0. Let k be 4*((-15)/o)/(-5). Suppose -6*p = -4*a - 3*p + 74, -28 = -2*a - k*p. Calculate the remainder when 31 is divided by a.
14
Let k(s) = s**3 + 2*s**2 - 10*s - 6. Let l be k(-4). Suppose l*u + 229 = 5*a, 0 = -3*u - 2 - 4. What is the remainder when 224 is divided by a?
44
Let a(t) = 140*t**2 + 419*t. Calculate the remainder when 21 is divided by a(-3).
0
Let r = 375 + -363. Let i(u) = -2*u**3 - 19*u**2 + 32*u + 10. What is the remainder when i(-11) is divided by r?
9
Suppose 0 = -m - 2*a - 308, -5*a = 3*m + m + 1229. Let t = -201 - m. What is the remainder when t is divided by 18?
15
Let v(o) be the first derivative of 7/4*o**4 - 2*o + 7/2*o**2 + 30 - 5/3*o**3. What is the remainder when 287 is divided by v(2)?
47
Let j = -28 + 53. Suppose 0 = -14*s - 3*s. Let p = s - -7. Ca