 = r + 8*r. Suppose 0 = 6*d - r + 26. Suppose -c - 2*j + 18 = j, -c + d = 2*j. Calculate the remainder when 44 is divided by c.
20
Let b be 7/21*437 + 2/(-3). Let v = b - 403. Let p = -181 - v. Calculate the remainder when p is divided by 10.
7
Let l(p) = 65*p**3 - 3*p**2 - 2*p - 1. Let x = -80 + 79. Let y be l(x). What is the remainder when (-2)/(-10)*(-5 - 0)*y is divided by 17?
16
Calculate the remainder when 1793 is divided by ((-156)/(-15))/26*15/1.
5
Suppose 4*a - a + 30 = -3*f, a + 5*f + 2 = 0. Suppose -49*q - 992 = -81*q. Let g = q - a. Calculate the remainder when g is divided by 23.
20
Let y(t) = 8*t**2 - 3*t - 4. Let q be y(2). Suppose -s + q = s. Suppose -6*l = -l - 260. Calculate the remainder when l is divided by s.
8
Let z(i) = -11*i**3 + i**2 + 4*i + 4. Let q be z(-1). Suppose -p - t + 378 = 0, -q*p + 15*p - 1129 = -2*t. Calculate the remainder when p is divided by 15.
13
Let j = 3 - -24. Let a be ((-1)/(-3))/((-2)/(-18)). Suppose -12 = d - 3*d - 4*b, -a*d + j = 3*b. What is the remainder when 33 is divided by d?
9
Suppose -2*s + 3*s = 38. What is the remainder when ((-4)/(-30))/(42/33768) + 4/(-20) is divided by s?
31
Suppose -5*l - 2149 = -4*q + 17787, -19936 = -4*q + 3*l. Suppose q = 44*b - 30*b. What is the remainder when b is divided by 15?
11
Suppose -59*c = -100*c + 1640. Calculate the remainder when 179 is divided by c.
19
Let l(y) = -30410*y + 212968. Let m(k) = 389*k**3 + k**2. Calculate the remainder when m(1) is divided by l(7).
96
Let f(v) = v - 11. Let q be f(14). Suppose 3*k - 258 = -3*o, 8*k - q*k = 3*o + 398. Calculate the remainder when k is divided by 4.
2
Suppose -124*g + 128*g - 150 = -x, -3*g + 2*x = -129. What is the remainder when 1713 is divided by g?
36
Suppose 34*j = 38*j + 848. Let f = j + 220. Calculate the remainder when 24 is divided by f.
0
Let o = -45400 + 45602. What is the remainder when o is divided by 66?
4
Suppose 4*x + 28 = 8*x. Suppose x*u - 5 = 9. Suppose u*v - 56 = -2*v. What is the remainder when v is divided by 8?
6
Let j(g) = 24*g**3 - 16*g**2 + 29*g. What is the remainder when j(2) is divided by 77?
32
Let f(n) = n**2 - 8*n + 10. Let i(z) = -5*z + 37. Let c be i(21). Let j = c - -75. What is the remainder when 10 is divided by f(j)?
1
Let s(m) = m - 3. Let i be s(-18). Let d = i + 23. Suppose d*o = -0*o + 30. Calculate the remainder when o is divided by 13.
2
Suppose 45*b + 686 = 2*v + 43*b, -v - 2*b = -361. What is the remainder when v is divided by 9?
7
Let j = -462 + 693. Suppose 4*v - 33 = j. Calculate the remainder when v is divided by 18.
12
Let h(j) = -j**3 - 18*j**2 - 3*j + 5. Let p(b) = 18*b**2 + 2*b - 5. Let l(w) = -3*h(w) - 4*p(w). Calculate the remainder when 248 is divided by l(6).
6
Let y(a) = 758*a + 2607. What is the remainder when 1012 is divided by y(-3)?
13
Let c(x) = -x**2 + 28*x - 73. Let a be c(25). Suppose -l = -z - 6, a*z = 6*z + 4. What is the remainder when 50 is divided by l?
0
Suppose -2*b + 493 = -253. Let u = -243 + b. What is the remainder when u is divided by 22?
20
Suppose 0*j + 46 = 3*d + j, 4*d + 4*j - 64 = 0. Let n = 304 + -185. Calculate the remainder when n is divided by d.
14
Let c(l) = l**3 - 9*l**2 + 10*l - 3. Let n(y) = -2*y**2 + 38*y + 5113. Calculate the remainder when n(60) is divided by c(8).
11
Let n(b) = -582*b - 6860. What is the remainder when 596 is divided by n(-12)?
100
Suppose -136 = 2*f - 4*f. Let i = -76 + 378. Let k = i - 288. Calculate the remainder when f is divided by k.
12
Suppose 122 = c + 5*i, -5*c = 3*i - 544 + 44. Suppose -18*p - 276 = -14*p. Let t = p - -83. What is the remainder when c is divided by t?
13
Let f = 62 + 12. Let x = 82 - f. Calculate the remainder when 13 is divided by x.
5
Let w(k) = -k**2 + 20*k + 1550. Calculate the remainder when w(47) is divided by 73.
62
Let m be (-8 + 8)/(1 + -2). Let s be -1*(-7 + m/1). Suppose 140 = -2*h + s*h. Calculate the remainder when h is divided by 6.
4
Suppose 0 = o + 3*o - 108. Suppose 0*r + 26 = -3*w - 4*r, 2*r + 10 = -w. What is the remainder when o is divided by (-792)/(-77) - w*2/(-42)?
7
Let w(t) = t + 16. Let x be w(4). Suppose 1800 = x*u - 8*u. What is the remainder when u is divided by 38?
36
Suppose -58*u + 2717 = 1093. Calculate the remainder when 1924 is divided by u.
20
Let v(o) = 3*o + 2. Let c be v(0). Suppose c*m = -5*p + 184, 0 = -0*p - p + m + 41. What is the remainder when 75 is divided by p?
37
Let l = -9868 - -10118. Calculate the remainder when l is divided by 103.
44
Let x = -894 + 1013. Suppose 5*s - x = -2*y + 99, 91 = 2*s - 3*y. Calculate the remainder when s is divided by 7.
2
Suppose 141*l - 229*l + 125*l - 6290 = 0. What is the remainder when l is divided by 85?
0
Let w(k) be the third derivative of k**6/120 + k**5/6 - 23*k**4/24 + 29*k**3/6 + k**2 - 5. What is the remainder when w(-12) is divided by 9?
8
Let q = -200994 + 201305. What is the remainder when q is divided by (4/(-6))/((-1)/36)?
23
Let n be (((-2130)/9)/(-5))/((-38)/57). Let f = 119 + n. Suppose -4*u + 68 = -0*u. Calculate the remainder when f is divided by u.
14
Let q(w) = w**2 + 36 + 32 + w - 68. Let g be q(-8). Suppose g + 44 = 5*z. Calculate the remainder when z is divided by 8.
4
Let f be 2/3*((-9)/(-9) - -5). Suppose f*x - 181 = 203. What is the remainder when x is divided by 11?
8
Suppose -b - 24 = -7*b. Suppose z + 5*h = -10 - 15, 25 = -b*z - 5*h. Suppose z*f - 24 = -4*f. What is the remainder when 23 is divided by f?
5
Let t be (2 - 12) + (-3 + -1 - -5). Let x(p) = 2*p**2 - 26*p - 146. What is the remainder when x(t) is divided by 83?
1
Let n be (0 + -1 + 3)/((-14)/(-21)). Suppose n*m - 43 = 41. Suppose 31*f = 29*f + m. Calculate the remainder when 27 is divided by f.
13
Suppose -4390 = 125*w - 135*w. Suppose w = 2*h + 4*c - c, -4*h = -2*c - 870. Calculate the remainder when h is divided by 22.
20
Let g = -38 - -135. Let t = g - 95. Suppose 0 = -t*o + 35 + 11. Calculate the remainder when o is divided by 8.
7
Let c(y) = -y + 25. Let b be c(20). Suppose -w = -b*z + 10, -5*z - 8*w + 5*w + 30 = 0. Suppose z = -r + 18. What is the remainder when 72 is divided by r?
12
Suppose 33*y + 17*y - 15461 - 589 = 0. What is the remainder when y is divided by 167?
154
Let r = 206 + -106. Let s(d) = -d**3 - 10*d**2 - 21*d + 18. What is the remainder when s(-8) is divided by ((-2)/(-5))/(4/r)?
8
Let k(i) = -111*i - 21. Let f(z) = -55*z - 10. Let j(t) = 5*f(t) - 2*k(t). Let h be j(-1). Let o = -9 + h. Calculate the remainder when o is divided by 8.
4
Suppose -12 = 4*i - 20. Suppose i*k + 2*b = -150, -5*b + 2*b = 4*k + 303. Calculate the remainder when 35 is divided by 1*8*(-6 - k/12).
3
Suppose 8065 + 5181 = 447*q + 4306. Suppose 5*o + 0*o - 491 = -2*c, 5*c + 307 = 3*o. What is the remainder when o is divided by q?
19
Let s(x) = -3*x - 7. Let m be s(2). Calculate the remainder when (-56)/(-21)*6*m/(-8) is divided by 18.
8
Suppose 16499 = 5*a + 2*q, -2*a + 5*q + 7692 = 1104. What is the remainder when a is divided by 11?
10
Let g(v) = 23*v - 21. Let m be g(3). Let w = 116 - m. Let p(k) = -k**3 + 5*k**2 + 2*k - 1. Calculate the remainder when w is divided by p(3).
22
Suppose 2*b + 195 = 3*a, -3*a + 4*b = 26 - 215. Suppose 0 = -0*h - 2*h + 14. What is the remainder when a is divided by 2/(-7) - (-100)/h?
11
Calculate the remainder when (22164/(-11 + 5))/(-2) is divided by 77.
76
Let u be 24/8 + (5 - 5). What is the remainder when (u/15*-1)/((-2)/1910) is divided by 49?
44
Suppose -24*k = -40*k + 8739 - 1715. Calculate the remainder when k is divided by 17.
14
Let o = 11641 - 11499. What is the remainder when 3537 is divided by o?
129
Suppose 5*q - 2*q = 0, -4*j - 3*q = 620 - 4100. What is the remainder when j is divided by 215?
10
Let u(h) = -h**2 + 10*h + 14. Let j be u(11). Suppose j = -2*y + 55. Calculate the remainder when y is divided by 14.
12
Suppose 3*p = -5*r + 290 + 333, -5*p = -3*r + 401. What is the remainder when r is divided by 34?
25
Calculate the remainder when 101/(90/(-50) + 2) is divided by 11.
10
Suppose -3*k - 2*r = -951 + 331, 202 = k + 3*r. Calculate the remainder when 661 is divided by k.
37
Suppose 0 = 37*j + 126 + 22. What is the remainder when 125 is divided by j - ((-275)/10 + 3)*2?
35
Let z = 69 - 131. Let g = -47 - z. Let o = 28 - g. Calculate the remaind