*m + 4*p, -m + 2*p + 62 = 20. Calculate the remainder when r is divided by m.
15
Let b = -38 + 3. Let q = 38 + b. Suppose 2*p = -q*p - 4*w + 117, 0 = -2*p - 5*w + 57. Calculate the remainder when p is divided by 8.
5
Let r be (-5 + (1 - -14))/2. Suppose 3*n = -r*i + 83, 0*i - 4*i + 59 = -5*n. Calculate the remainder when 238 is divided by i.
14
Suppose -42*g + 46*g = -4*x + 340, -3*g + 257 = 4*x. Calculate the remainder when 526 is divided by g.
28
Calculate the remainder when 509 is divided by (((-480)/1800)/(2/(-159)))/((-2)/(-10)).
85
Suppose -7*h + 4*h - 10 = -d, -5*h = -4*d + 5. What is the remainder when ((-1)/(2 + h))/(47/9729) is divided by 18?
15
Suppose -16 = 200*u - 202*u. Let d = -24 + 43. Suppose 5*o - 56 - d = 0. What is the remainder when o is divided by u?
7
Suppose -20 + 84 = 3*u + i, 2*i = -4*u + 86. Suppose -u*z - 588 = -33*z. What is the remainder when 194 is divided by z?
47
Let j be (13 - 3)*(-1)/2. Let g(m) be the third derivative of -m**5/60 - 3*m**4/8 - 7*m**3/6 - 4*m**2. Calculate the remainder when 24 is divided by g(j).
11
Let p = 2144 - 2136. Let u = 1 + 2. Suppose 0*v + u*v = b - 18, -2*b + 58 = 5*v. What is the remainder when b is divided by p?
0
Suppose -24 = -43*z + 39*z, z = -5*d + 21481. Calculate the remainder when d is divided by 20.
15
Calculate the remainder when 14*(-45)/(-105) - 2/((-6)/12915) is divided by 13.
8
Suppose -148 = -5*d - 3*y, 2*d + 10*y - 7*y - 52 = 0. Calculate the remainder when 245 is divided by d.
21
Let w = 6296 - 5779. Calculate the remainder when w is divided by 76.
61
Let d = 1 - -72. Let h = 30 + -45. What is the remainder when d is divided by (-7)/((-21)/h) - -20?
13
Let a = -192 + 215. What is the remainder when a is divided by 5*6*8/60?
3
Let f(k) = -3*k**3 + 30*k**2 - k + 12. Let u be f(10). Let s(w) = 46*w - 80. Calculate the remainder when 23 is divided by s(u).
11
Let l(u) = -u**2 + 35*u - 301. Suppose -2*z + z + 2*o = -32, 5*z = 2*o + 168. What is the remainder when z is divided by l(18)?
4
Suppose -130 = u - 3. Let s = -96 - u. Suppose -3*v + 89 = -2*v. What is the remainder when v is divided by s?
27
Let r(u) = -15*u + 15. Let m be r(-2). Let j = m - -8. Let s(w) = -w**2 + 8. Calculate the remainder when j is divided by s(0).
5
Let w(f) = 58*f - 85. Let o be w(-7). Let g = -481 - o. What is the remainder when 77 is divided by g?
7
Suppose i + q + 0*q = 210, 0 = 3*q - 15. Calculate the remainder when 552 is divided by i.
142
Let u(p) = p**3 + 2*p**2 - 47*p + 7. Let l be 6/42 - (186/(-21) - -3). What is the remainder when -1 - -12*13 - 1 is divided by u(l)?
11
Let w(c) = -17*c - 381. Let u(j) = -j - 3. Let t be u(7). Let y = t - -20. Calculate the remainder when w(-23) is divided by y.
0
Let u(c) be the third derivative of c**4/8 + 8*c**3/3 - 18*c**2. Let w be u(-3). Calculate the remainder when 1*334/w - 4/(-14) is divided by 19.
10
Suppose 0 = 2*w - 3*n - 1458, 6*n = 3*w + 3*n - 2187. What is the remainder when w is divided by 251?
227
Suppose 0 = 8*z - 4*z + 3*r - 2412, z + 2*r = 613. Calculate the remainder when z is divided by 205.
187
Suppose 3*j - 689 = 4*c, 0*j - 3*c - 690 = -3*j. Suppose -81*l - 48 = -89*l. What is the remainder when j is divided by 8/l*(-78)/(-4)?
23
Let m(p) = 8*p**2 + 149*p + 50. What is the remainder when m(-19) is divided by 5?
2
What is the remainder when 2043 is divided by (-5)/((-10)/84) + (-30 - -29)?
34
Let r(y) = -y**2 + 8*y + 1. Let q(o) = -2*o**3 - 4*o**2 + 5. Let a be q(-2). Let t be r(a). What is the remainder when (-2)/t - ((-97)/8 - 6) is divided by 3?
0
Let q(p) = p**3 + 16*p**2 + 17*p + 36. Let z be q(-15). Suppose 24 = -z*s + 9*s. Suppose 5*x = 17 + s. Calculate the remainder when 18 is divided by x.
3
Let a = -39 - -81. Suppose 0 = -b - 5*c - 4, c + 13 = 2*b - 34. Calculate the remainder when a is divided by -3 - (-2)/3*b.
9
Let i = -1149 + 1173. Let w = -8 + 6. Calculate the remainder when 59 is divided by 12/i + (-9)/w.
4
Calculate the remainder when 398 is divided by 1/((8/(-4))/((12 - 7) + -285)).
118
Let x be ((-5 + -4)/(-3))/1. Suppose -4*o + 8*c = 3*c - 127, 5*o = -x*c + 131. Calculate the remainder when o is divided by 12.
4
Suppose 0 = 5*o - 12*o. Suppose o = -3*d - 10 + 40. Suppose 80 = -0*i + d*i. Calculate the remainder when i is divided by 5.
3
Let o be (-3118)/11 - -2 - 72/132. Let a = 299 + o. What is the remainder when a is divided by 10?
7
Let o(f) = -f**3 + 20*f**2 - 18*f - 19. Let n be o(19). Suppose -10 + n = -2*t. Calculate the remainder when 68 is divided by 3 - ((-99)/t + 1/(-5)).
22
Suppose -3*f + 6*f - 57 = 0. Suppose g + 4 = 0, 2*b - 3*b - 4*g - 623 = 0. Let p = 852 + b. What is the remainder when p is divided by f?
17
Let n be -6*(-515)/55 - 8/44. Let t = n - 51. What is the remainder when 36 is divided by t?
1
Let h = -19549 - -23174. Calculate the remainder when h is divided by 31.
29
Suppose -3*a = 2*g - 14, -7*g + 28 = 4*a - 2*g. Suppose -u + a*u = -2*p + 3, -4*p = -u - 9. Calculate the remainder when -38 + (9 + 59 - 9) is divided by p.
1
Let n(r) = -5*r - 22. Let s be (182/(-42))/((-2)/6). Let k be n(s). Let b = k + 133. Calculate the remainder when b is divided by 16.
14
What is the remainder when (1054/(-4))/(2/(-4)) is divided by 10 + -2 + 0 + 2 + 53 + 3?
65
What is the remainder when (-57)/((-1083)/3686) - (-1 - -8) is divided by 98?
89
Suppose 2824 + 3470 = 6*p. What is the remainder when p is divided by 50?
49
Suppose 38*k + 300 = 43*k. Suppose -c + k = -35. Let g = 133 - c. What is the remainder when 147 is divided by g?
33
Let x = -2960 - -3230. What is the remainder when x is divided by 56?
46
Let r = -4 + 20. Suppose 4*g + 7*g = 550. Suppose g*p - 48*p - 10 = 0. Calculate the remainder when r is divided by p.
1
Suppose 6240 + 332 = 31*o. Calculate the remainder when (-53)/o + (-594)/(-8) is divided by (5 + -15)*(-3)/2.
14
Suppose -25056 = 72*s - 168*s. Calculate the remainder when 276 is divided by s.
15
Let r(p) = -4*p**2 - 12*p + 11. Let t be r(1). Let a(f) = -f**3 + f**2 + 27*f - 9. Calculate the remainder when 98 is divided by a(t).
2
Suppose 3*h - 3*s = 4*h - 9, -9*s - 18 = 0. Calculate the remainder when 16228 is divided by h.
13
Suppose -4*f - 4*o + 406 = -5*o, -o - 2 = 0. Suppose -2*i = -0*i + 5*u - 788, 0 = -3*i - 5*u + 1187. Calculate the remainder when i is divided by f.
96
Let a be (-771)/(-9) + 3/9. Let c = 8 + a. Let d = c + -61. Calculate the remainder when 96 is divided by d.
30
Suppose -129 = 4*l + 2*b - 3*b, -3*l = 2*b + 94. Calculate the remainder when -6*(1 - 2)/((-1)/l) is divided by 28.
24
Suppose 0 = 15*w + 15*w - 4*w - 88894. What is the remainder when w is divided by 12?
11
Suppose -2*g + 0*a + 2*a + 22 = 0, -4*g + 36 = 4*a. What is the remainder when 57 is divided by g*(9/2)/3?
12
Let y(z) = -z**2 - z + 35. Suppose 38*u - 39*u = -5*f - 19, -2*f = -u + 16. Calculate the remainder when y(0) is divided by u.
7
Let u = -130 + 114. What is the remainder when 53 + 4*(-20)/u is divided by 5?
3
Suppose -x + 3123 = 4*c, 0 = 2*c - 2*x - 1508 - 36. What is the remainder when c is divided by 169?
103
Let x = 3986 + -3917. What is the remainder when 405 is divided by x?
60
Let h(v) = -24*v + 246. Let z be h(31). Let o = z + 502. Calculate the remainder when 45 is divided by o.
1
Let d = 3 - -1. Suppose -4*y + 33 = -3*j + 7, -4*j - 4*y - 16 = 0. Calculate the remainder when j/1 + 266/14 is divided by d.
1
Suppose 0 = 34*z - 6*z - 252. Let q be 2 - (-2 - -1 - 24). Suppose 4*a = 5 + q. What is the remainder when z is divided by a?
1
Let y = -3146 + 3157. What is the remainder when 351 is divided by y?
10
Suppose 4*v - 2 - 438 = -5*d, -4*d + 311 = -5*v. Let l = 1013 - 595. Calculate the remainder when l is divided by d.
82
Suppose 28*q - 40 - 1696 = 0. What is the remainder when 495 is divided by q?
61
Calculate the remainder when 1232 is divided by 4 + -16*(-2)/8 + 297.
12
Suppose -3*l = -4*l + 3*v + 363, 4*v = 4*l - 1492. Suppose -2 = t + 5*b + l, -3*b = -5*t - 2040. Calculate the remainder when 2/(4 - t/(-102)) is divided by 24.
20
Calculate the remainder when 152 is divided by (-19224)/(-445) - (1 - 8/10).
23
Let v(m) = 247*m**2 - 36*m - 2. Let d be v(2). Suppose -39*j + 3688 = -d. Calculate the remainder when j is divided by 11.
8
Let h = -2 - -77. Suppose -62 = -5*f