 the remainder when i is divided by 7.
6
Let y = -132 + 156. Calculate the remainder when 94 is divided by y.
22
Let c be 1 - (-3 + 4 + -96). Suppose 5*k = k + c. Calculate the remainder when 5 is divided by 2/8 + 90/k.
1
What is the remainder when ((-270)/(-72))/((27/(-48))/(-3)) is divided by 15?
5
Suppose d - 236 = -3*g + 329, -5*g + 3*d + 951 = 0. What is the remainder when -4*(g/(-12) - -1) is divided by 15?
14
Suppose 0 = h - 4 - 0. Suppose -48 = -2*p + 2*w, -6*p + 112 = -2*p + h*w. Let y = 63 + 14. What is the remainder when y is divided by p?
25
Suppose 276 = 4*r - 4*w, r - 57 = 2*w - 5*w. Calculate the remainder when r is divided by 23.
20
Suppose -a + 21 = -4*d + d, a + 3*d - 15 = 0. Let u(c) = 4*c**3 - 3*c**3 - 8*c**2 + 0*c**3 + c - 1. What is the remainder when a is divided by u(8)?
4
Suppose -l - 4*l = -10. Suppose 0 = -3*y + l + 67. Calculate the remainder when y is divided by 13.
10
Let j(a) be the first derivative of -2*a**3/3 - 11*a**2 - 8. Let t be j(-11). Suppose -3*q - q + 308 = t. What is the remainder when q is divided by 26?
25
Let m be (-61451)/(-91) + (-3)/(-21)*-2. Calculate the remainder when 54 is divided by m/45 + ((-2)/1)/2.
12
Suppose 7*o - 72 = 3*o. Suppose 3*n + o = 6*n. Calculate the remainder when 16 is divided by n.
4
Let y = 7 + -4. Suppose -v + y + 8 = 0. Suppose 0 = 5*t + 4*t - 378. What is the remainder when t is divided by v?
9
Suppose -4*n = k + 3 + 11, 0 = -2*n + k - 10. Let h(a) = a**3 + 6*a**2 - 2*a. Calculate the remainder when h(-3) is divided by -15*(n/5)/1.
9
What is the remainder when 28/14*53/2 is divided by 14?
11
What is the remainder when (-16)/((-240)/945) + (0 - 4) is divided by 15?
14
Let m(p) = 3*p**2 - 9*p + 11. Suppose -9*q = -66 + 21. What is the remainder when 120 is divided by m(q)?
38
Let z = -2329 - -2431. What is the remainder when 397 is divided by z?
91
Let j(g) = 3*g**2 + 3*g + 3. Let y be j(-2). Calculate the remainder when 57 is divided by (9 + -4 + -2)*30/y.
7
Let j(c) = 39*c + 271. What is the remainder when j(0) is divided by 3?
1
Let c = -10 - -20. Let f = -12 - -15. Let g = 15 + f. What is the remainder when g is divided by c?
8
Suppose 4*r = -3*v + 1 + 8, -2*r - v = -3. Suppose -3*b = 4*u + b - 48, r = -b. Calculate the remainder when u is divided by 4.
0
Calculate the remainder when (-16365)/(-135) - (-1)/(-18)*4 is divided by 21.
16
Suppose -5*a + j = -3, 5*a - 9 = 2*a - 3*j. Let s be (-1)/(a*(-3)/87). Suppose 2*k + 5 = s. What is the remainder when k is divided by 7?
5
Suppose 0 = 3*u - 8*u - 60. Let i(o) = o**2 + 11*o - 8. Let m be i(u). Suppose 0 = -m*g - 26 + 142. Calculate the remainder when g is divided by 16.
13
Suppose 3*u - v = 28, -21 = -2*u - v + 6. Calculate the remainder when 119 is divided by u.
9
Suppose 4*p + 5*r = -p + 40, -4*p - 3*r = -28. Suppose 0 = -p*w - 0*w + 248. Suppose 13 = -c + w. Calculate the remainder when c is divided by 17.
15
Let q(z) = -z**3 + 2*z**2 - z - 3. Let j(g) = 22*g**2 + g. What is the remainder when j(1) is divided by q(-2)?
8
Suppose 5*c + 37*t = 40*t + 97, t = 5*c - 99. Calculate the remainder when 11/(((-2)/14)/(-1)) is divided by c.
17
Let u(g) = -g**3 + 2*g**2 - g. Let v be u(1). Suppose -9*z + 5*z + 408 = v. Calculate the remainder when z is divided by 15.
12
Let r(m) = -28*m + 49. Calculate the remainder when 299 is divided by r(-1).
68
Suppose -1 = f - 3. Let h(t) = -t**2 + 23*t - 57. Let s be h(20). Suppose -33 = -0*x - s*x. Calculate the remainder when x is divided by f.
1
Suppose q = 5*s - 24, 4*s = -0*q + q + 19. Suppose 4*j = -3*k + 41, -k + j - q + 17 = 0. Calculate the remainder when 44 is divided by k.
14
Suppose -2*t + 332 = 2*y, 3*y = -0*y - 4*t + 496. Suppose 13*o + y = 17*o. What is the remainder when o is divided by 11?
9
Suppose -19*f = -2*u - 21*f + 52, 15 = 5*f. What is the remainder when 125 is divided by u?
10
Suppose 0 = -5*d - 3*l + 58, -54 = 18*d - 21*d + 3*l. Calculate the remainder when d is divided by 8.
6
Let n = -39 + 66. Suppose 0 = -4*p + 21 + n. Let t(h) = 4*h**3 + h**2 - 2*h + 1. Calculate the remainder when p is divided by t(1).
0
Suppose 3*a + 410 = 512. Calculate the remainder when 849 is divided by a.
33
Suppose 3*z - 4*o + o = 75, 30 = z + 4*o. Suppose i + 3*i - z = a, -2*i + a = -14. Let b(c) = c**2 - 7*c + 9. What is the remainder when b(i) is divided by 2?
1
Let o(d) = 20*d - 43. What is the remainder when o(10) is divided by 24?
13
Suppose 3*v - 3*u = 33, 4*v - 3*u = -u + 34. What is the remainder when 26 is divided by v?
2
Let f(h) = h**3 - 6*h**2 + 2. Let l be f(6). Suppose l*b = -3*b + 10. What is the remainder when 15 is divided by -1 - b - 24/(-2)?
6
Let v(a) = 5*a - 1. Let y be v(14). Let z be 4/14 + (-72)/7. Let k = z + y. What is the remainder when k is divided by 30?
29
Let b = 2665 - 2660. What is the remainder when 116 is divided by b?
1
Let t(w) = -5*w + 32. Let f be t(5). What is the remainder when 89/f - ((-6)/21 + 0) is divided by 8?
5
Suppose -4*p - 22 = -70. Calculate the remainder when (-122)/(-4) + p/(-8) is divided by 8.
5
Let b = -7 - 3. Let f = b - -14. Suppose 0 = j + f*a - 59, 3*a - 8*a = -20. Calculate the remainder when 127 is divided by j.
41
Let u be 2/4 - 85/(-2). Suppose -3*t + u = -11. Suppose 38*b + 133 = 513. What is the remainder when t is divided by b?
8
What is the remainder when 31 is divided by 106/11 - (-144)/396?
1
Suppose -o - u = -43, -10 + 140 = 3*o + 4*u. What is the remainder when 150 is divided by o?
24
Let p(z) = -11*z. Let x be p(-1). Suppose h = -5*s + 237 + 34, -5*h - 295 = -5*s. Let m = x + s. Calculate the remainder when m is divided by 17.
15
Let t(m) = m**2 + 6*m + 10. Let g be t(-4). Suppose -68 = -6*i + g*i. Suppose -51 = -2*d + 11. What is the remainder when d is divided by i?
14
Suppose 242*f = 246*f - 40. What is the remainder when 498 is divided by f?
8
Suppose 109 = -7*a - 24. Let k = a + 23. Suppose -4*p + 415 = 5*l, -k*l + p = -0*p - 332. Calculate the remainder when l is divided by 17.
15
Suppose 3*a = -2*d + 37, -6*a - 4*d + 41 = -3*a. Calculate the remainder when 351 is divided by a.
10
Let q(d) = -6*d - 2. What is the remainder when 53 is divided by q(-4)?
9
Suppose -g + 53 = -5*l - 3, 5*g + 2*l = 361. Calculate the remainder when g is divided by 9.
8
Let x(d) = 2*d**2 + 26*d - 21. What is the remainder when x(4) is divided by 63?
52
Suppose -5*z + n - 5*n = -146, -3*z + 95 = -5*n. Calculate the remainder when 116 is divided by z.
26
What is the remainder when 6/4 - (-15680)/128 is divided by 16?
12
Suppose 2*o = -5*r + 286, -2*r + 58 = 5*o - 69. Let c(n) = -36*n + 29. Calculate the remainder when r is divided by c(0).
27
Let l(u) = -2*u - 11. Suppose -53 = -2*n + 11. Let h = n + -39. What is the remainder when l(h) is divided by 2?
1
Suppose -6 = 5*l - 21. Suppose 4*k - 12 = -0*x + x, x + 8 = l*k. What is the remainder when x/(4/49) + -3 is divided by 24?
22
Let m be 4 + 3 + (-4 - -3). Suppose 5*r + m = 16. Calculate the remainder when 2 is divided by r.
0
Let d(k) = k**3 + 6*k**2 + 4*k + 11. Let n = 21 + 88. What is the remainder when n is divided by d(-5)?
13
Let y(u) = -9*u - 84. Calculate the remainder when y(-15) is divided by 5.
1
Suppose 0 = -10*o + 7*o + 27. Let u = o - -86. Calculate the remainder when u is divided by 20.
15
Let p(c) = 2*c**2 - 33*c - 58. Calculate the remainder when p(22) is divided by 17.
14
Suppose -41 = -9*j + 40. What is the remainder when 160 is divided by j?
7
Let a = 176 + -163. What is the remainder when a is divided by 3?
1
Let u(f) be the first derivative of -7*f**4/4 - 4*f**3/3 - f**2 + 2*f - 5. Let a be u(-2). Let o = -25 + a. Calculate the remainder when 83 is divided by o.
20
Let o(r) = -207*r + 28. Let a(k) = 69*k - 10. Let t(d) = 17*a(d) + 6*o(d). Let c = 33 - 16. Calculate the remainder when t(-1) is divided by c.
16
Suppose -2*b = 0, 3*l - 9 = -0*b - 4*b. Suppose 7 = -l*i + 43. Calculate the remainder when 68 is divided by i.
8
Let t(d) be the third derivative of 0 + 1/24*d**4 + 11/6*d**3 + 0*d + 10*d**2. What is the remainder when 8 is divided by t(-6)?
3
Suppose 5 = -j + 2*j. Let u(w) = -3 + 3 - 11*w - j + 2. What is the remainder when 54 is divided by u(-2)?
16
Suppose 7*g + g - 1093 = 3*j, -4*j = 2*g - 278. What is the remainder when g is divided by 7?
4
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