. Suppose z + m = l. Calculate the remainder when z is divided by 13.
10
Let t be (-240)/(-42) - 2/(-7). Let j be (-9)/t*(-20)/15. Suppose 0 = j*r + s - 95, 145 = 5*r + 2*s - 93. What is the remainder when r is divided by 18?
12
Let x = 2088 - 2072. Let a(c) = -10*c - 7. Let u(t) = 9*t + 8. Let f(b) = -5*a(b) - 4*u(b). Calculate the remainder when f(3) is divided by x.
13
Let p(l) = 33*l - 18. Let z be p(2). Let h = z - 32. What is the remainder when -1*(-1)/(2/122) is divided by h?
13
Suppose 4*p - 2*v = 296, 0 = p - 8*v + 11*v - 60. Calculate the remainder when 113 is divided by p.
41
Let k(s) = s + 4. What is the remainder when (-3)/2*(-24 - 2)/1 is divided by k(-1)?
0
Suppose 2*r + 0*r + 2*r = 0. Suppose 5*w + 6*w + 88 = r. Let l = w - -24. Calculate the remainder when 53 is divided by l.
5
Suppose 12*o - 48*o + 635 + 337 = 0. Calculate the remainder when 481 is divided by o.
22
Let i = -9465 - -9498. Calculate the remainder when i is divided by 15.
3
Suppose 3*f + 0*f = -4*m - 514, -4*m - 344 = 2*f. Let w = f + 260. What is the remainder when w is divided by 13?
12
Suppose -x = 3*x - 52. Suppose 2573 = 92*s - 1659. What is the remainder when s is divided by x?
7
Suppose 0 = -x - 3*f + 36, 8 = -6*x + 7*x - 4*f. Suppose 29*i - 1235 = x*i. What is the remainder when i is divided by 9?
4
Suppose -34*g = -30*g - 844. Let r = -122 + g. Calculate the remainder when r is divided by 9.
8
Suppose 5*v + 8 = -4*h + 7, -4*v - 8 = 5*h. What is the remainder when 0 + 1*(-176)/h + 1 is divided by 16?
13
Suppose 8*x = 3*x - 7*x + 192. Let u(t) = -t**3 + 11*t**2 + 9*t - 6. Let p be u(10). Suppose 2*j + p = 6*j. What is the remainder when j is divided by x?
14
Let w(m) = -m**3 + m**2 - 20. Let d be w(0). Calculate the remainder when 43 + -33 + (-11)/(-1) - (-1 + -3) is divided by 4*(d/8)/(-1).
5
Suppose 2*t - 147 = -3*d + 7*t, d - t - 47 = 0. Let i be (-5518)/(-22) - (-8)/d. Suppose 44 = 5*b - i. What is the remainder when b is divided by 15?
14
Suppose -6 = -r + 4*u, -32 = -3*r + 2*u - 4. Let j = -68 + 96. What is the remainder when (-2)/4*(-2740)/r is divided by j?
25
Let b(o) = -2370*o + 116. What is the remainder when b(-1) is divided by 89?
83
Suppose 0 = -54*n + 56*n + 4*c - 290, 131 = n - 5*c. Calculate the remainder when 273 is divided by n.
132
Let q = 68 - 59. Suppose 5*v + 916 = q*v. What is the remainder when v is divided by 33?
31
Suppose 0*k - 3*k = 5*b - 21, 2*b - 14 = -4*k. Suppose 0*p = -2*p - 5*a + 83, k*p - a = 113. Let z = -149 - -160. What is the remainder when p is divided by z?
10
Let r(p) = p - 9. Let x be r(11). Suppose -43 = -x*j + 31. Suppose 5 = v - j. Calculate the remainder when 124 is divided by v.
40
Let p(c) = -c**2 + 10*c - 3. What is the remainder when (1 + (-5)/3)/(98/(-12495)) is divided by p(8)?
7
Let m = -1291 + 1313. Let v = -4 - -5. Let u = 42 + v. What is the remainder when u is divided by m?
21
Let m(z) = -235*z - 3. Suppose 4*l - 7*w = -3*w, -l - 4 = 3*w. Let c be m(l). Suppose 54 = -2*t + c. Calculate the remainder when t is divided by 46.
43
Suppose -4805 = -247*y - 606. Calculate the remainder when 5164 is divided by y.
13
Suppose -76*n + 7076 = 46*n. What is the remainder when 746 is divided by n?
50
Suppose -68 = -4*a - 51*k + 55*k, -4*a - 5*k + 131 = 0. What is the remainder when 664 is divided by a?
16
Let a(b) = -3*b**2 + 14. What is the remainder when 531 is divided by a(0)?
13
Suppose 83 = 5*r - 167. Suppose h - 4 = -s + 145, -12 = 4*h. Let u = s - r. What is the remainder when u is divided by 26?
24
What is the remainder when 1423 is divided by (1 + (-15)/10)/(17/(-850))?
23
Let b = -19193 - -19225. Calculate the remainder when 1015 is divided by b.
23
Let c = 322 + -193. Suppose 0 = -4*v + m + c, 0 = -4*v - 4*m + 115 - 11. Calculate the remainder when 40 is divided by v.
9
Let c = 511 + -70. Let x = c - 398. Calculate the remainder when 46 is divided by x.
3
Let d = 53 - -113. Suppose 3*r + 4*u - 79 = 0, u = 6*u - 20. Calculate the remainder when d is divided by r.
19
Let f be 2/6 + 10/(-3) + 4. Calculate the remainder when f/9 - (-25104)/54 is divided by 78.
75
Let g = 1987 - 1440. Calculate the remainder when g is divided by 110.
107
Let p = 15027 + -14603. Calculate the remainder when 1421 is divided by p.
149
Let c(g) = -11*g**2 - 2*g + 3. Let z be c(2). Let l be -27 + 0 + (0 - 0). Let y = l - z. Calculate the remainder when 48 is divided by y.
12
Let u(c) = -c**3 - 11*c**2 + 11*c + 222. Calculate the remainder when 94 is divided by u(-10).
10
Let c be ((-220)/(-33))/((-4)/(-78)). Suppose c = 5*x - 0*x. Suppose -4*b = 5*d - 254, -49 = -d + 4*b - 3*b. What is the remainder when d is divided by x?
24
Let s(y) = -4*y**2 + 105*y + 26. What is the remainder when s(17) is divided by 110?
105
Let x(g) = -g**3 + 35*g + 10. Calculate the remainder when 299 is divided by x(5).
59
Let v(o) = -180*o - 701. Calculate the remainder when v(-6) is divided by 25.
4
Suppose 11*y + 82*y = 25883 + 436. Calculate the remainder when y is divided by 110.
63
Suppose -235*t - 3677 + 16837 = 0. Calculate the remainder when 1192 is divided by t.
16
Let q(a) be the first derivative of 131*a**2/2 - 20. Calculate the remainder when q(1) is divided by 33.
32
Let r(g) = g**3 + 31*g**2 + 7*g + 55. Calculate the remainder when r(-30) is divided by 9.
7
Let g = -28 - -31. Let q be 0 + -1 - -5*(-5 - g). Let n = 54 + q. What is the remainder when 24 is divided by n?
11
Let w(b) = -b**2 - 47*b + 154. Calculate the remainder when w(-49) is divided by 42.
14
Suppose -35*u = 2*a - 30*u - 364, -4*a - u = -656. What is the remainder when 3888 is divided by a?
0
What is the remainder when -6 - (58 + -19) - -1198 is divided by (-472)/(-14) + 2/7?
31
Suppose 22*y - 3465 - 121 = 0. What is the remainder when 292 is divided by y?
129
Let l(h) = 18*h - 167. What is the remainder when l(27) is divided by 95?
34
Let h(m) = m**2 - 32. Let a be h(6). Suppose -a*k + 6 = -54. Let x = -88 - -131. Calculate the remainder when x is divided by k.
13
Let n = -17 - -31. Calculate the remainder when (3/(-10) - 0/5) + (-90870)/(-3900) is divided by n.
9
Let d = -54 - -69. Suppose -d*f + 297 = -78. What is the remainder when 37 is divided by f?
12
Let a(w) = 24*w - 6. Let y be 0 - ((-9)/12)/((-4)/(-16)). Let k be a(y). Suppose k - 12 = 2*f. Calculate the remainder when 77 is divided by f.
23
Let w(s) = -s**3 + 7*s**2 + 10*s + 9. Let a = 61263 - 60916. What is the remainder when a is divided by w(8)?
22
Suppose -2*t + 1679 = -3*b, -78*b + 844 = t - 81*b. Calculate the remainder when t is divided by 182.
107
Let g(r) = 2*r**3 + 54*r**2 + 22*r - 174. Calculate the remainder when g(-26) is divided by 173.
87
Suppose -9 + 63 = 2*f. Let z(m) = 2*m**2 - 107*m + 166. What is the remainder when f is divided by z(52)?
7
Let h(s) = -s**3 + 3*s**2 + 11*s - 16. Let g(u) = 39*u**2 + 2*u + 1. What is the remainder when g(-1) is divided by h(3)?
4
Let u = 2941 - 2906. Calculate the remainder when u is divided by 7.
0
Let b be 2*(5 + 0 + -4) + 1. Suppose -5*j + 84 = 2*k, 38 = b*j + 5*k - 10*k. Suppose j*r - 636 = 4*r. What is the remainder when r is divided by 15?
8
Let p(u) = -u**3 - 8*u**2 + 7*u - 9. Calculate the remainder when 137 is divided by p(-10).
16
Let m be -4 + 3/(-6)*-6. Let l be 16/(4 + -2)*1/m. What is the remainder when l/2*209/(-22) is divided by 13?
12
Suppose 12*x - 1463 + 935 = 0. Calculate the remainder when 74 is divided by x.
30
Let g(y) = -4*y**3 - 5*y**2 + 125*y + 272. Suppose -2*k + 12 = 2*a, 60 = -k + 5*k - 5*a. What is the remainder when g(-2) is divided by k?
4
Suppose 2*c - 30 + 8 = 0. Suppose -c*q + 2*q = 63. Let k = q - -32. Calculate the remainder when k is divided by 13.
12
Let f = 5016 - 5010. Calculate the remainder when 944 is divided by f.
2
Let b(p) be the first derivative of 3*p**4/4 - 3*p**2/2 + 4*p - 2. Let g be b(2). Calculate the remainder when 19 is divided by g/4 + (-5)/(-10).
1
Suppose -6*v - 4*x + 287 = -3*v, -3*v + 3*x = -252. Calculate the remainder when v is divided by 79.
10
Suppose 20 = 4*l, 47*l - 45*l - 102 = -f. What is the remainder when 1001 is divided by f?
81
Let q = 739 + -347. Suppose 88*h = 116*h - q. Calculate the remainder when 26 is divided by h.
12
Calculate the remainder when 1058 is divided by (1 + 2 + -6