d by 12?
6
Let s = -8962 + 13384. Calculate the remainder when s is divided by 56.
54
Suppose 0 = -5*h + 19 + 81. What is the remainder when 1599 is divided by h?
19
Let u(c) = -c**2 - 2*c + 270. Calculate the remainder when 36 is divided by u(15).
6
Let q be (-306)/(-9) + 3 + -4. Suppose 4*y - 37 = 2*u + q, -3*y - 2*u + 63 = 0. What is the remainder when 36 is divided by y?
17
Suppose -5*r = r + 780. Let z = r - -132. Suppose -32 = -z*t + 32. What is the remainder when 63 is divided by t?
31
Let j(f) = 419*f - 22. Let c be j(7). Suppose -8*h + c = 33*h. What is the remainder when h is divided by 25?
21
Let m(j) = -j**2 + 3*j. Let w be m(3). Let v = w + 7. Suppose -9*h = -3*b - 4*h + 93, -66 = -3*b - 4*h. Calculate the remainder when b is divided by v.
5
Calculate the remainder when 697725/(-42)*16/(-40) is divided by 17.
15
Let h = 41952 - 41200. Calculate the remainder when h is divided by 54.
50
Let v(u) = 6*u - 9 + 16 + 8 + 23. Calculate the remainder when v(8) is divided by 18.
14
Let o(r) = 6*r**2 - 4*r - 5. Let b be o(-1). Suppose b*x - 169 = 201. Let s(a) = -a**3 + 8*a**2 - 5*a + 6. Calculate the remainder when x is divided by s(7).
14
Let b(z) = -489*z - 12. Let s be b(-1). Let w = -389 + s. Calculate the remainder when w is divided by 19.
12
Suppose -y - k + 1215 = 0, 222*k + 24 = 226*k. Calculate the remainder when y is divided by 398.
15
Suppose 7 = 2*r - s, 0 = -r - 4*s - 15 + 5. Suppose -5 + 15 = -r*c. What is the remainder when (3/c)/(8/(-280)) is divided by 4?
1
Let s be (9 - 1) + (-4 - -2). Suppose s*c - 6 = 18. Suppose 0 = -4*q - a + 16, 0*a + a - c = -q. Calculate the remainder when q is divided by 3.
1
Let z = 5051 - 5016. Suppose 0 = n + 3*n + j - 688, 0 = -3*j. Calculate the remainder when n is divided by z.
32
What is the remainder when 19547 is divided by ((-252)/(-112))/(13/312)?
53
Suppose 0 = -2*x + 3*d + 61, -5*x = -6*x - 2*d + 48. What is the remainder when 234 is divided by x?
6
Let q(n) = 14*n - 150. Let o be q(11). Suppose 4*i = o, 2*t - 5*i = -2*i + 29. Calculate the remainder when 27 is divided by t.
11
Suppose -15 = 2*d - 19. Suppose 0*t = 5*t + n - 238, n + 91 = d*t. Calculate the remainder when t is divided by 10.
7
Suppose 3*k - 100 = -4*l, -k - 4*k + 170 = 5*l. Suppose 0 = -646*w + 3135 + 6555. Calculate the remainder when k is divided by w.
6
What is the remainder when 374/459*-9*-11*33 is divided by 664?
6
Suppose -173*y = -1835 - 7723 - 15873. What is the remainder when 596 is divided by y?
8
Let k(l) = 28*l**2 + 16*l + 38. What is the remainder when 871 is divided by k(-3)?
145
Let h be (1 + -4 + 2)*2. Calculate the remainder when (-2)/16*-6*28 is divided by h/(-13) + (-3105)/(-351).
3
Let q = 141097 - 141067. Let w = 41 + 38. What is the remainder when w is divided by q?
19
Let w be 1802/7 - ((-11)/7 - -2). Suppose 0 = 3*b - 4*c - w, 2*c - 79 = -b - 0*c. What is the remainder when b is divided by 18?
11
Let t = 638 + -641. Let q(v) = -v + 14. What is the remainder when (-413)/t - (-12)/(-18) is divided by q(0)?
11
Let s(f) = 16*f + 20. Let u be s(-11). Let r = 189 + u. Suppose 5 = -p + 2*p, -d + 187 = 5*p. What is the remainder when d is divided by r?
30
Let i(b) = b**3 - 14*b**2 + 26*b - 59. Calculate the remainder when 1976 is divided by i(13).
106
Let i(q) = 2*q**2 + 53*q + 381. What is the remainder when 526 is divided by i(-24)?
4
Suppose 5*t + 6*m - 3305 = 8*m, -3*t = -2*m - 1979. What is the remainder when t is divided by 18?
15
Let o(h) = -4*h**2 - 16*h - 47. Let u(f) = 5*f**2 + 17*f + 48. Let z(r) = -6*o(r) - 5*u(r). Calculate the remainder when z(12) is divided by 16.
14
Suppose 3*j = 3*n + 1617, -4*j = 3*n - 669 - 1522. Suppose 0*q = -3*q + 2*b + j, b + 361 = 2*q. Calculate the remainder when q is divided by 20.
18
Suppose -j + 404 = 2*z, 5*j - 11*z + 9*z - 2044 = 0. What is the remainder when j is divided by 64?
24
Let z(b) = b**2 - 5. Let w be z(3). Suppose w*f = 4*p + 60, 10*p - 9*p = -f + 15. What is the remainder when 147 is divided by f?
12
Suppose -2*p + 6*p - 164 = 0. Let a = -139 - -141. Suppose -332 = -a*b + 3*d, -7*b - 492 = -10*b + 3*d. What is the remainder when b is divided by p?
37
Let t(q) = 6*q**2 + 516*q + 2557. What is the remainder when 882 is divided by t(-5)?
120
Let i be (-96)/(-54) + (-4)/(-18). Suppose -i*y = 2*f - 8, 3*y = 7*y - 4*f + 24. Calculate the remainder when (-103)/((2 + y)/(-1)) is divided by 36.
31
Suppose 9*p - 33*p - 12600 = 0. Let w = p - -543. What is the remainder when 431 is divided by w?
17
Suppose 301*j + 5439 = 308*j. Calculate the remainder when j is divided by 178.
65
Let q be (2/6)/(1/105). Calculate the remainder when 129 is divided by 343/q + (-2)/(-10).
9
Let i be ((-39)/3)/((-6)/(-84)*-2). Suppose -d = -2*a + 36 + i, d - 245 = -4*a. Calculate the remainder when a is divided by 7.
6
Let h(b) = 4*b**3 + 94*b**2 - 6*b - 60. What is the remainder when h(-23) is divided by 29?
5
Suppose -2*m = 5*r + 15, 0 = 4*m + 2*r - 0*r + 70. Let f(p) = 0*p**2 + 8*p**2 + 48 + 0*p**2 + 20*p - 7*p**2. Calculate the remainder when f(m) is divided by 10.
8
Let c(y) = 43*y + 1. Let q(s) = -19*s + 233. Let z be q(12). Suppose -z*b + 3*b + 3 = u, -3*u + 34 = b. Calculate the remainder when c(2) is divided by u.
9
Let z = 12406 + -12323. Suppose -4*k = -2*k + 160. Let t = z + k. Calculate the remainder when 13 is divided by t.
1
Let p be 1902/8 + 200/160. Let z = 250 - p. Calculate the remainder when 52 is divided by z.
8
Suppose -90 = 6*b - 15*b. Let k(m) = -m**2 + 11*m + 9. What is the remainder when (-85)/(-3) - (-2)/3 is divided by k(b)?
10
Suppose c = 3*q + 2*q - 17, 6 = -2*c + 3*q. Suppose 130 = -z + c*z. Suppose -4*i + i - y = -36, 2*i - 3*y = 13. Calculate the remainder when z is divided by i.
10
Let g = 712 - 627. Suppose -g*f + 83*f = -328. Calculate the remainder when f is divided by 24.
20
Suppose 0 = 2*z - 16*l + 13*l - 592, 0 = 5*z + 4*l - 1457. What is the remainder when 17870 is divided by z?
290
Let m(w) = 3*w + 255. Let x be m(-42). Suppose -x*b + 114*b = -390. What is the remainder when b is divided by 16?
10
Suppose 0*z = z - 78. Let n(v) = 15*v + 97 - 215 + 97. What is the remainder when z is divided by n(2)?
6
Suppose -i + 74 = -0*i + 3*o, -2*o + 172 = 2*i. Calculate the remainder when 559 is divided by i.
7
What is the remainder when 216 is divided by (981/(-10))/(-3) + (15 - (-735)/(-50))?
18
Let j(w) be the first derivative of 3*w**2/2 + 72*w + 131. What is the remainder when 193 is divided by j(-7)?
40
Suppose z - 2*b = 118 + 34, -b - 594 = -4*z. Suppose -1167 = -55*l + 3013. What is the remainder when z is divided by l?
72
Let t(r) = -20*r + 15. Let m be t(-3). Let s = m + -74. Calculate the remainder when 78 is divided by (13 - s)/4 - (2 + -8).
6
Let s = 331 + -107. What is the remainder when (-128)/s + 991/7 is divided by 66?
9
Suppose -p + 12*p = -2937. Let n = p + 384. Calculate the remainder when n is divided by 8.
5
Suppose 9*m + 150 - 1050 = 0. Suppose 58*l - 53*l - m = 0. Calculate the remainder when 256 is divided by l.
16
Suppose 10295 = 289*o + 1336. What is the remainder when 770 is divided by o?
26
Suppose 2*z = -z + 18. Suppose 4*j = -2*h - 10, 4*j = 2*h - 27 - 3. Suppose h*u = z*u - 116. What is the remainder when u is divided by 39?
38
Let f be (2 - 94) + 5/5. Calculate the remainder when 35 is divided by 29/5 - f/455.
5
Let l = 88 - 59. Suppose -63*g + s - 1147 = -68*g, -2*g = -3*s - 469. What is the remainder when g is divided by l?
27
Suppose 15*d + 816 = 21*d + 28*d. Let p(q) = 6*q**2 - 3*q + 6. Calculate the remainder when p(5) is divided by d.
21
Let v be (-730)/(-5 - -10) + 2. Calculate the remainder when 379 is divided by v/180 + (-194)/(-5).
37
Suppose 4*s = -3*q + 14, 5*s - s - 42 = -5*q. What is the remainder when q is divided by 4?
2
Suppose -2*b + 38 - 5 = v, 5*v = -3*b + 172. Let k(w) = 3*w - 1. Calculate the remainder when v is divided by k(4).
2
Suppose 5*o + 9 = 59. Let n = 2117 + -1268. Suppose 0 = o*d + 29 - n. What is the remainder when d is divided by 29?
24
Let k = 39 + -26. Suppose k*b = 8*b + 4*t + 152, 0 = 2*b - 5*t - 71. Calculate the remainder when 103 is divided by b.
19
Let i be ((-12)/30)/((-299)/(-100) - 3). Suppose 2*w + 4*h = 44, -w + 2*h = -2*h - i. Calculate the remainder when w is 