Calculate the remainder when 538/12 - (-5)/30 is divided by z.
21
Let g(h) = -h**2 - 6*h - 6. Let q be g(-1). Let k be 23 + (5 - 9 - q). Let f = k - 3. What is the remainder when 58 is divided by f?
7
Suppose -1259*x + 1261*x - p = 754, 382 = x - 3*p. Calculate the remainder when x is divided by 211.
165
Let y(u) = -u**2 + 12*u - 1. What is the remainder when (-25*2)/(3/(-6)) is divided by y(7)?
32
Let l = 3268 + -1590. What is the remainder when l is divided by 48?
46
Let v(z) = 11*z**2 - z. Let n(k) = -k + 1. Let h(r) = 2*n(r) - v(r). Let y be h(1). What is the remainder when (-6)/y + (-187)/(-5) is divided by 8?
6
Suppose 4*k + 37 = 3*l, -757*l - 3*k + 81 = -752*l. Calculate the remainder when 4513 is divided by l.
13
Calculate the remainder when 2932 is divided by (-1)/3*(-570 + 87) + -7.
6
Suppose -3*k + 217 = 4*k. Let y = 119 + -58. What is the remainder when y is divided by k?
30
What is the remainder when 728 is divided by (-45)/90*(-8 + -130)?
38
Suppose -15*p + 60481 + 64619 = 0. What is the remainder when p is divided by 97?
95
Suppose 14 = 2*b + 5*b. Suppose 0 = b*z + 4*z - 72. Suppose 195 = 4*k - 2*x + 59, -4*k + x + 132 = 0. What is the remainder when k is divided by z?
8
Suppose 16*a = 17 - 177. Let n(i) = 2*i**2 + 19*i + 3. What is the remainder when 59 is divided by n(a)?
7
Let q = -30328 + 30381. What is the remainder when 1588 is divided by q?
51
Let g = -82 - -487. Suppose -5*r = 4*q - g, 5*r - 3*q = 240 + 165. What is the remainder when r is divided by (-1 + -5)/(2/(-2))?
3
Suppose -5*g + 8*g = 9*g - 2364. What is the remainder when g is divided by 36?
34
Suppose -2406 = -28*f + 525 + 37. What is the remainder when 2555 is divided by f?
11
Suppose 0 = 284*x - 279*x - 20. Suppose -170 = -5*i - 4*s + 9*s, 0 = -x*i - s + 121. Let a = 66 + -47. What is the remainder when i is divided by a?
12
Let g be (-3 + 2 - 0)*(9 + -13). Suppose -112 = -g*j + 4*x, 6*j + 5*x = 4*j + 21. What is the remainder when 112 is divided by j?
20
Let n(a) = -3*a**2 + 5*a + 7. Let z be n(-5). Let f = z + 154. Calculate the remainder when 237 is divided by f.
54
Let k be (-12)/(-1*2) - (-82 - -88). Suppose -2 = 2*d, 6*v - 4*v - 5*d - 97 = k. Calculate the remainder when 458 is divided by v.
44
Suppose -4*p = -16297 + 13745. Calculate the remainder when p is divided by 61.
28
Let w = 158 - 511. Let l = -331 + w. What is the remainder when l/(-12)*(-4)/(-6) is divided by 13?
12
Let z(k) = k**3 + 18*k**2 + 21*k - 67. Let t be z(-17). Let n = t - -137. What is the remainder when n is divided by 1?
0
Calculate the remainder when 282/54 + -5 - ((-3141)/81 - -4) is divided by 17.
1
What is the remainder when 2377 is divided by 1224/5712 + 1859/14?
116
Let g(k) = -k**2 - 5*k. Let t(d) = d**2 + 9*d - 51. Let o be t(-13). What is the remainder when o/2*-6 + 16 is divided by g(-3)?
1
Let j be 7 - 3 - 4/(-1). Suppose j*u - 457 + 81 = 0. Calculate the remainder when 89 is divided by u.
42
Suppose 0 = 6*v - 5*v. Suppose -i - 4*l = 15, -2*l - 10 = -v. Suppose i*j - 3*n - 38 = 0, -j - n - 2*n + 4 = 0. What is the remainder when j is divided by 3?
1
Let u(g) = 19*g - 12*g + 36 - 4*g - 4*g. Calculate the remainder when 123 is divided by u(5).
30
Let p(q) be the first derivative of 1/2*q**2 + 3*q + 32. What is the remainder when 57 is divided by p(2)?
2
What is the remainder when (-2 - 4) + (4494/(-9))/(16/(-24)) is divided by 9?
5
Suppose -96*m + 42*m + 127716 = 120*m. What is the remainder when m is divided by 20?
14
Suppose -8056 = -50*k - 3741 + 9635. Calculate the remainder when 838 is divided by k.
1
What is the remainder when (-2 - (-21)/28)*-172 - 0 is divided by (6/8 - 1/(-4))*9?
8
Suppose -2*j - 8 = 0, 5*f - 64 = -4*j + 5*j. Let p(r) = -r**3 - 16*r**2 - 15*r + 43. Let y = 117 + -132. Calculate the remainder when p(y) is divided by f.
7
Calculate the remainder when 428 is divided by (1/((-2)/(-3)))/(45/240) - 0.
4
Let x(a) = -5*a + 210. What is the remainder when x(-12) is divided by 114?
42
Let v = -25 + 42. Let b = 1143 - 1097. Suppose b*d - 2137 = 71. What is the remainder when d is divided by v?
14
Suppose -5*d + 417 + 501 = 2*y, 0 = 5*y - 20. Calculate the remainder when 390 is divided by d.
26
Let f(k) = 5*k - 6. Let i be f(7). Let z = 29 - i. Suppose z = -4*r + 82 + 202. What is the remainder when r is divided by 18?
17
Suppose -2 = p - 6. Suppose -16 = -k + p*a + 5, 12 = -3*a. Suppose -32*f + 284 = -3*h, 0 = -2*h - 2*h + f + 38. Calculate the remainder when h is divided by k.
2
Let v(j) = 19*j + 648. Calculate the remainder when 1037 is divided by v(-25).
172
Suppose 6 = 2*t + 2. Suppose 2*i + g + t*g - 37 = 0, 2*g = -6. What is the remainder when 133 is divided by i?
18
Suppose -60 = m - 13*m. Suppose 59 = m*t - 51. Calculate the remainder when (-6)/(-9) + 124/3 is divided by t.
20
Suppose -46346 - 18158 = -88*t. What is the remainder when t is divided by 49?
47
Let t(x) = x**2 + 11*x + 68. Let m(q) = 2*q - 51. Let g be m(19). Suppose 98 + 34 = 4*c. Calculate the remainder when t(g) is divided by c.
28
Suppose 3*l + 19 - 76 = 0. What is the remainder when 728/12*(18/30 + (-144)/(-560)) is divided by l?
14
Let j be -7 - (3/(-3) - 21). Suppose j*c - 18*c + 45 = 0. Calculate the remainder when c is divided by 13.
2
What is the remainder when 898 is divided by (3/9)/((-3778)/540 - -7)?
88
Let o(k) be the first derivative of 30 + 50*k + 1/2*k**2. What is the remainder when o(-22) is divided by 6?
4
Suppose 4*f - 2*c - 21 = 13, -2*f + 13 = 3*c. Suppose f*m = 5*m + 5*w + 73, 48 = 2*m - 4*w. Let b = -11 - -25. Calculate the remainder when m is divided by b.
12
Calculate the remainder when 10/(-20)*(-4)/3*2*309 is divided by 127.
31
Suppose 7*i - a = 8389, 4*i - 2*a = -2149 + 6947. What is the remainder when i is divided by 298?
6
Let w(o) = 127 + 56*o + 54*o - 191*o + 64*o. Let j(v) = 2*v - 1. What is the remainder when w(5) is divided by j(5)?
6
Let l(z) = 221*z**3 + 6*z**2 + 171*z - 698. Calculate the remainder when l(4) is divided by 17.
14
Suppose 8*t - 5*t = 4*c + 69, -2*c - 24 = 2*t. Let a be c - (-3 - -5)/(2/(-3)). What is the remainder when 4 is divided by (9/(-27))/(1/a)?
0
Let a(y) = -31*y - 8. Let b be a(5). Let f = b + 171. What is the remainder when 17 is divided by f?
1
Suppose 493*n = 483*n + 11010. Calculate the remainder when n is divided by 23.
20
Suppose 6 = -v + 23. Suppose -o - 5*k = 22, 7*o - 4*o + 5*k = -16. Calculate the remainder when 174 - (-3)/(o/(-7)) is divided by v.
14
Let h = 1451 - 876. Suppose -10*y + 471 = -6*y - m, -5*y + 4*m + h = 0. What is the remainder when y is divided by 10?
9
Suppose 275*n = 166*n + 3052. Suppose 0 = -2*g - 2*l + l - 5, 2*g = 2*l + 10. What is the remainder when n is divided by -12*(6/(-9) + g)?
4
Suppose 2*h = -3*w + 790, -124*w + 128*w - 16 = 0. What is the remainder when h is divided by 84?
53
Suppose 2*z - 12 = -2*g, -15*z + 31 = 5*g - 11*z. What is the remainder when 306/(-42) + g + (-410)/(-14) is divided by 12?
5
Let a(j) = j**3 - 7*j**2 - 24. Let u be a(10). Suppose -282*r + u*r + 282 = 0. What is the remainder when 154 is divided by r?
13
Let x = 15 + -7. Suppose 2*q = -k + x, 3*k = 5*k - 3*q + 5. What is the remainder when (14/(-10) + k)*(-4 - -34) is divided by 4?
2
Let n = -351 - -359. Suppose -s = 5*d + 15, -5*d + 2 = -2*s - n*d. What is the remainder when 12 is divided by s?
2
Suppose -31*g = -64*g + 24*g + 2070. Calculate the remainder when g is divided by 24.
14
Suppose -2*m - 194 = -4*p, 19 = -5*p - m + 279. Calculate the remainder when 2447 is divided by p.
50
Suppose -39*l = 149*l - 112387 - 49481. What is the remainder when l is divided by 268?
57
What is the remainder when 17/34 - 1*286/(-4) is divided by -9*8/(-72)*28?
16
Let i(o) be the third derivative of o**5/12 + 5*o**4/24 + 7*o**3/6 + 5*o**2. Calculate the remainder when i(-2) is divided by (-12)/(-7)*(-329)/(-94).
5
Let a(u) = -1970*u + 3959. What is the remainder when (-1)/2 + 302/4 is divided by a(2)?
18
Let m = 375 - 370. Suppose 0*p - 736 = -4*p - 4*a, m*p - 4*a - 884 = 0. Calculate the remainder when p is divided by 11.
4
Suppose 19*a = 1 + 37. Suppose 0 = -a*c + y + 30, 2*y - 5*y - 20 = -c. What is the remainder when 45 is divided by c?
3
Let o = -4954 + 5481. Calculate the remainder when o is divided by 110.
87
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