*x - d, 4*d = 3*x - 55 - 8. What is the remainder when 60 is divided by x?
18
Let x(y) = -y**2 + 10*y + 39. Calculate the remainder when x(0) is divided by 10.
9
Suppose 0 = -4*l - d + 15, -3*d + 3 + 9 = l. Suppose -38 = 2*n + 3*h, -2*n + 0*h = -2*h + 18. Let j = 22 + n. Calculate the remainder when j is divided by l.
0
Let s = -92 + 141. Suppose 5*h - 729 = i, -9*i = -3*h - 14*i + 415. What is the remainder when h is divided by s?
47
Suppose 28*t + 4264 = 132*t. Suppose -4*f - 11 = -5*f. What is the remainder when t is divided by f?
8
Let x(o) = -o**3 - 10*o**2 + 13*o + 25. Let v be x(-11). Suppose 37 = r + v. What is the remainder when 67 is divided by r?
33
Suppose 3*t - 5 - 1 = 0. Suppose -3 = -t*j + 33. Calculate the remainder when 84 is divided by j.
12
Let v(z) be the first derivative of -z**4/4 - 8*z**3/3 + 5*z**2/2 + 10*z - 42. Calculate the remainder when v(-9) is divided by 16.
14
Suppose 0 = -12*q + 14*q - 14. Let x = q - -58. Calculate the remainder when x is divided by 33.
32
Let j = 87 - 88. Calculate the remainder when 35 is divided by (-2)/2*j + 136/8.
17
Let z(f) be the third derivative of 0 + 2*f**2 + 1/30*f**5 + 1/24*f**4 + 1/6*f**3 + 0*f. Calculate the remainder when 3 is divided by z(-1).
1
Let n(v) = -2*v**2 + 7*v - 10. Let b be n(4). Let w = 39 + b. Calculate the remainder when 74 is divided by w.
24
Suppose -3*t - 130 = -h, -t + 510 = 4*h - 3*t. Let g = h + -70. Calculate the remainder when g is divided by 15.
12
Let t(q) = -q**3 + 5*q**2 - q - 6. Let l(n) = 4*n + 2. Calculate the remainder when l(5) is divided by t(3).
4
Suppose 0 = c - 5*c. Calculate the remainder when 148 - (c - 1)/(-1) is divided by 30.
27
Suppose 17 = 2*l - 24*a + 23*a, 4*a = -3*l + 9. Let g(p) = -20*p - 3. Let b be g(-2). Let c = b + -18. Calculate the remainder when c is divided by l.
5
Suppose -12 = -2*x - x, 0 = -5*j + 4*x + 164. Let b = j - 30. Calculate the remainder when 11 is divided by b.
5
Let d = -34 + 61. Let k = d + 2. Suppose 2*f - 21 = k. Calculate the remainder when f is divided by 9.
7
Suppose 353*z - 356*z = -189. What is the remainder when 374 is divided by z?
59
Let s = 36 - 33. Suppose 0 = -s*p + 3*r - 29 + 2, -2*r = -4*p - 42. Calculate the remainder when p/(-21) + (-384)/(-14) is divided by 15.
13
Let k(l) = l**3 + 6*l**2 - 41*l - 226. Let j(p) = p**3 + 7*p**2 + 4*p + 3. What is the remainder when j(-4) is divided by k(-7)?
11
What is the remainder when 48 is divided by 441/14 + (-3)/(-6)?
16
Suppose -i - 2*i - 6 = 0, 2*v + 4*i - 288 = 0. Suppose 5*x = -u + 164, 3*u - 6*u = -5*x + v. What is the remainder when x is divided by 18?
14
Let r be (94 - 2)*(14/4 + -1). Suppose 16*o = 6*o + r. What is the remainder when 134 is divided by o?
19
Suppose -5*f + 37 = -18. Calculate the remainder when (21 - 253/(-11)) + (-6)/2 is divided by f.
8
Let z(n) be the first derivative of -n**3/3 - 10*n**2 - 6*n - 4. Suppose 0 = 8*c - 10*c - 28. Calculate the remainder when z(c) is divided by 27.
24
Let q(p) = p**3 - 6*p**2 + p + 6. Let w = -169 - -173. Calculate the remainder when q(6) is divided by w.
0
Suppose -358 = -4*h - 42. Calculate the remainder when 550 is divided by h.
76
Suppose 9*t + 4450 = 34*t. What is the remainder when t is divided by 83?
12
Let j(m) = 8*m**2 - 9*m - 8. Calculate the remainder when 963 is divided by j(7).
0
Let w = 25 + -13. Let j be (-20)/(-30)*(-51)/(-2). Suppose -j*r + 12*r + 105 = 0. What is the remainder when r is divided by w?
9
Let g(s) = -s**2 + 5*s. Let m be g(4). Suppose q + q - m = 0. What is the remainder when 5 is divided by q?
1
Let z = 63 - 24. Suppose 27 = 5*t - 23. Calculate the remainder when z is divided by t.
9
Let v be 4/(-18) - 20/(-9). Suppose i = -0*i - v*o + 49, 5*i - 3*o = 297. Calculate the remainder when i is divided by 20.
17
Let r = 484 + -455. Let a(p) = p**2 - 2*p. Let u be a(-2). Let s = 7 + u. What is the remainder when r is divided by s?
14
Calculate the remainder when (5 + 1424/(-40))*-5 is divided by 69.
15
Let l be (-1)/(-3*(-2)/(-18)). Suppose l*w - 99 = -5*s, s + s = w - 22. What is the remainder when w is divided by 10?
8
Suppose 0 = 3*a - 3*j - 54, -2*j - 25 = 4*a - 73. Suppose -13*t - 11 = -a*t. Calculate the remainder when t is divided by 3.
2
Suppose d + 68 = 5*d. Suppose -s + 32 = -2*a + 3*a, -5*a = -5*s + 170. Suppose 5*u = s - 8. What is the remainder when d is divided by u?
2
What is the remainder when 66/15*455/14 is divided by 19?
10
Calculate the remainder when 142 is divided by 1328/112 + 1/(-21)*-3.
10
Let s(w) = 2*w**2 + 38*w + 3. Calculate the remainder when s(-20) is divided by 3.
1
Let f(t) = t**3 - 14*t**2 + 5. Let g be f(14). Let h = g - -12. Suppose -120 = -2*i + 4*q + 62, 63 = i + 5*q. Calculate the remainder when i is divided by h.
15
Suppose 8*v = 9*v - 318. Calculate the remainder when v/5 - (-8)/20 is divided by 23.
18
Suppose -2*f - 1258 = 3*p, p + 4*f = 4*p + 1264. Let y be (9/6)/((-3)/p). Suppose 4*d + d = y. Calculate the remainder when d is divided by 15.
12
Suppose -162 - 294 = -4*i. Let k = 185 + -298. Let d = k - -142. Calculate the remainder when i is divided by d.
27
Suppose -4 = -9*t + 32. Suppose -5*o - 2*p = -0*p - 210, 0 = -3*o - t*p + 140. Calculate the remainder when o is divided by 21.
19
Suppose 4*l - 187 + 55 = 0. Let x(z) = -z**2 + 9*z + 9. Let r be x(6). Suppose 0 = 15*o - 18*o + r. What is the remainder when l is divided by o?
6
Let a(w) = 4*w**2 - 10*w + 5. Let n(d) = -2*d - 2. Let u be n(-3). Calculate the remainder when a(u) is divided by 10.
9
Let a(w) = w**2 + w - 7. Let t be (15/(-9))/((-3 + 2)/(-3)). Calculate the remainder when 90 is divided by a(t).
12
Calculate the remainder when 407121/1971 - (-8)/18 is divided by 35/(-2)*(1 - 3).
32
Let c be (-238)/(-63) - (-6)/27. Let n be 1*(0 - 3 - c). Let r(w) = w**2 + 3*w - 14. Calculate the remainder when 39 is divided by r(n).
11
What is the remainder when (14 - (-10)/(-1)) + 124 is divided by 10?
8
Suppose -26*r - 9*r = -1540. What is the remainder when 93 is divided by r?
5
Let b(l) = 3*l**3 - 25*l**2 - 16*l - 17. Calculate the remainder when 9 is divided by b(9).
0
Let d = 29 + -22. What is the remainder when 7 is divided by d?
0
Let s(c) = c**2 + c + 2. Let a be s(0). Let h = a - 0. Calculate the remainder when h/2 + (-4)/(-1) is divided by 3.
2
Suppose -2*v + 13*v - 1430 = 0. Calculate the remainder when v is divided by 66.
64
Let j(f) = f**3 + 3*f**2 + 3*f + 4. Let m be j(-3). Let n be 218/10 - 3/(-15). Calculate the remainder when 59 is divided by n - -5 - (2 + m).
29
Let d(n) = 3*n**2 - 2*n + 3. Suppose 0 = -67*j + 61*j + 120. Calculate the remainder when j is divided by d(2).
9
Suppose b - 196*o = -199*o + 55, 2*b - 3*o - 119 = 0. What is the remainder when b is divided by 24?
10
Suppose -240 = x + x. Let m = x + 171. Calculate the remainder when m is divided by 27.
24
Let y(b) be the first derivative of -3/2*b**2 - 3*b + 1/3*b**3 + 5. Calculate the remainder when 32 is divided by y(-2).
4
Suppose -14 = 3*k - o, -3*k + 5*o - 1 = -3. Let m(v) be the third derivative of -v**4/8 + v**3/2 + 2*v**2. Calculate the remainder when 40 is divided by m(k).
19
Suppose 12*t - 5*t = 119. Suppose -t = 3*j + 1. Calculate the remainder when 31 is divided by j*1*(-32)/24.
7
Let p be (-4)/5*15/(-2). Suppose 7*o + 3*x - 18 = 4*o, -2*x = 5*o - 42. What is the remainder when o is divided by (6/8)/(p - 94/16)?
4
Suppose -2830 = 292*x - 297*x. Calculate the remainder when x is divided by 6.
2
Let o(v) = -7*v**2 + 35*v - 7. Calculate the remainder when 42 is divided by o(3).
7
Suppose -55 = 104*t - 115*t. Let m(c) = c**3 - 7*c**2 + 10*c - 7. What is the remainder when m(6) is divided by t?
2
Let n(h) = -h + 12. Let f be n(12). Suppose f = s + v + v - 77, 3*s + 2*v = 215. Calculate the remainder when s is divided by 10.
9
Let d(y) = 14*y**3 - 3 - 7*y**3 - 16*y + 11*y**2 - 6*y**3 - 2*y**3. Calculate the remainder when 68 is divided by d(9).
8
Let c be 3/6 - 3990/(-12). Let a = c - 145. Calculate the remainder when a is divided by 27.
26
Let f(q) = 1232*q - 1223*q - 1 + 2 + 3. What is the remainder when 178 is divided by f(1)?
9
Let a(u) = -u - 2. Let s be a(1). Let w be 117/1 + -1 + s. Calculate the remainder when -2 - (-4 + 3)*w is divided by 28.
27
Suppose 3*i - 36 = -6*i. Suppose -1