*a**3/3 + a**2/2 + a. What is the remainder when m(z) is divided by 12?
10
Let a = -321 + 227. Let c = a - -127. Calculate the remainder when c is divided by 20.
13
Let w = 7 + 0. Suppose -48 = -w*y + 15. Calculate the remainder when y is divided by 4.
1
Let q(u) = -u**2 + u - 31. Let h be q(0). Let j = h + 47. Calculate the remainder when j is divided by 6.
4
Suppose -64*b + 63*b + 23 = 0. Calculate the remainder when b is divided by 6.
5
Let h(x) = -187*x**3 + 2*x**2 - 2*x - 4. What is the remainder when h(-1) is divided by 48?
43
Let o = -359 + 385. Calculate the remainder when o is divided by 1.
0
Suppose -2*m - 2*v = 53 - 231, 356 = 4*m - 3*v. Suppose 2*n + 157 = 3*u, -14 = -2*u + n + m. What is the remainder when u is divided by 315/12 + 2/(-8)?
23
Suppose 171*j + 273 = 184*j. What is the remainder when 628 is divided by j?
19
Let y be (-2 + 1 + 2)*97. Suppose o = 3*c + y, -2*o - c = o - 281. What is the remainder when o is divided by 32?
30
Suppose 0 = -2*d + 2*a - 37 + 15, d + 7 = -3*a. Let g be ((-4)/(-14))/(92/(-322)). What is the remainder when -25*(g + 6/d) is divided by 14?
12
Let s be -1 + 29 + 4 + -2. Let b be 26/s + (-22)/(-165). Suppose 0 = -c + 2*z + 21, 0*z + b = -z. Calculate the remainder when 35 is divided by c.
16
Let f = 254 + -249. Let m be 1/2 + 275/2. Suppose 2*u - 150 = u - 2*b, m = u + f*b. What is the remainder when u is divided by 40?
38
Let n = 17 - -3. Suppose 4*x - j - 51 = 0, 49*j = 45*j + 4. What is the remainder when n is divided by x?
7
Suppose 3134*l - 3143*l = -315. What is the remainder when 57 is divided by l?
22
Let t(f) be the second derivative of 7*f**4/12 + 5*f**3/6 - f**2/2 - 7*f - 2. Calculate the remainder when t(-5) is divided by 30.
29
Suppose 0 = -10*r + 13*r. Suppose r = 12*a - 11*a - 83. Calculate the remainder when a is divided by 21.
20
Let q(d) = -2*d**2 + 4*d + 14*d**2 - 2 - 3*d. Suppose 0 = 3*m - 5*p - 28, 0 = m + 2*p + 2 + 7. What is the remainder when 30 is divided by q(m)?
8
Let a(q) = -q + 2. Let m(d) = 10*d - 89. Let j(n) = -2*a(n) - m(n). Calculate the remainder when 14 is divided by j(10).
4
Let j be ((-1)/(-2))/((-2)/(-16)). Suppose -j*w = 3 - 27. Calculate the remainder when ((-24)/(-16) - 0)/(1/14) is divided by w.
3
Let c = -358 + 410. Calculate the remainder when c is divided by 11.
8
Let l = 10 + 32. Suppose 2*q = q + l. Calculate the remainder when q is divided by 194/18 - 2/(-9).
9
Suppose 5*r - 3 = 7. Let w be (2/4)/((-5)/(-20)). Suppose -3*f = r*a + 39 - 156, 0 = -4*a - w*f + 246. What is the remainder when a is divided by 22?
19
Suppose -4*w - n + 191 = 0, -3*w + 4*w - n - 44 = 0. Let z(u) = -4*u**2 - 19*u - 6. What is the remainder when w is divided by z(-2)?
15
Suppose -5*f + 16 + 104 = 0. Calculate the remainder when f is divided by 19.
5
Suppose -28*g = -b - 29*g + 26, -4*b + 2*g = -128. What is the remainder when b is divided by 11?
8
Let y(c) = -7*c**3 + 2*c + 3. Calculate the remainder when (406 - -22)*(-5)/(-100)*5 is divided by y(-2).
52
Let z = 111 - 87. Suppose -2*r = -5*k - 85, 0 = 5*r + 4*k - 33 - 196. Calculate the remainder when r is divided by z.
21
What is the remainder when 18 + 597 - 3*2/6 is divided by 14?
12
Let h(b) = 27 + 0*b - 25 - b. Let i be h(3). Let g = i - -3. What is the remainder when 4 is divided by g?
0
Let n(w) = -2*w**3 + 11*w**2 - 7*w + 24. Calculate the remainder when 119 is divided by n(5).
7
Suppose 1938 = 16*y - 510. Calculate the remainder when y is divided by 67.
19
Let a(p) = -10*p + 1. Suppose 5*t - 1 - 9 = 0. Let r(o) = o. Let b(x) = t*a(x) + 22*r(x). What is the remainder when 61 is divided by b(7)?
13
Let q(j) = 143*j**2 - 1. Suppose 13*l - 606 = -138. Calculate the remainder when q(1) is divided by l.
34
Suppose 4*f + 67 = 5*a, -6*a - 5*f = -5*a - 25. Suppose 0 = 3*r - 0*r + a. Let u(o) = -o - 4. What is the remainder when 1 is divided by u(r)?
0
Suppose -15*w = -20*w + 1580. Suppose -2*p = 4, -w = -2*l - 3*p + p. Calculate the remainder when l is divided by 33.
28
Let t = 2049 - 1956. Calculate the remainder when 1859 is divided by t.
92
Suppose 5*u - 157 = 168. Let k = -7 + 30. Calculate the remainder when u is divided by k.
19
Suppose -5*m + 15 = w, -2*w + 9 = 5*m - 6. Suppose -p + 19 + 8 = w. What is the remainder when 101 is divided by p?
20
Let a = -4 + 0. Let y be -2 - (20/a + 0). What is the remainder when y + 60 + (-2)/1 is divided by 16?
13
Let c = 1358 + 5. What is the remainder when c is divided by 35?
33
Let c = -8 + 10. Suppose -2*l + 2*m = m - 1, 0 = 2*l - 4*m + c. Calculate the remainder when (-34)/(-3 - (-3 + l)) is divided by 12.
10
Suppose 8*h - 5*h - 132 = 0. Calculate the remainder when h is divided by 15.
14
Let k = -343 - -420. Calculate the remainder when k is divided by 8.
5
Suppose -i + 10 + 8 = 0. Let p(t) = -t**3 - 2*t**2 - 4*t + 4. Calculate the remainder when p(-4) is divided by i.
16
Suppose 4*t + 490 = -t. Let m = -38 - t. Calculate the remainder when m is divided by 21.
18
Calculate the remainder when 337 is divided by (74/3 + -2)/(2/3).
31
Let g(k) = k. Let c be g(2). Let n = -3487 - -3518. What is the remainder when n is divided by 33/c + (-1)/(-2)?
14
Let t(f) = -9 + 4*f - 5*f + 4*f. Let s be t(6). Suppose 3*r - 48 = -s. What is the remainder when 48 is divided by r?
9
Let w = 59 + -34. Suppose 16 = -l + w. Let o = l - -34. What is the remainder when o is divided by 9?
7
Let z = -1 + 4. Suppose z*g - g + 5*b = 102, 2*g + 4*b - 104 = 0. What is the remainder when g is divided by 20?
16
Let q(c) = 11*c + 133. Calculate the remainder when 101 is divided by q(-7).
45
Calculate the remainder when 14/77 + -1153*(-1)/11 is divided by 11.
6
Suppose -26 = -3*p + i, 0 = -4*p + i + 31 + 2. Suppose 0 = 12610*h - 12574*h - 1656. Calculate the remainder when h is divided by p.
4
Let m be (-12 - -15)*(-97)/(-3). Suppose -3*q - m = -2*g, -91 = -g - g - 3*q. Calculate the remainder when g is divided by 25.
22
Let u = 15 + -46. Let f = u + 40. What is the remainder when f is divided by 2 + 0 - (-5 + 0)?
2
Suppose -v + 2*u + 351 = 0, -3*u + 6*u - 695 = -2*v. Calculate the remainder when v is divided by 10.
9
Suppose 2 = -y + 4*r + 48, -4*y - r = -150. Suppose y = h + h. Let k(f) = 11*f**2 - 25*f - 26. Calculate the remainder when h is divided by k(-1).
9
Let i(y) = 174*y - 86. Calculate the remainder when 230 is divided by i(1).
54
What is the remainder when 5/((-25)/(-1320))*1/2 is divided by 40?
12
Let r(z) = z**2 + z. Let p be r(1). Let j(n) = n**3 - 15*n**2 + 3*n - 10. Let l be j(15). Suppose -7 = -p*m + l. Calculate the remainder when m is divided by 6.
3
Suppose -132 = -3*q + 5*t, -7*t + 2*t - 220 = -5*q. Suppose -31 = -3*m + 14. Calculate the remainder when q is divided by m.
14
Let t = 231 + -136. Calculate the remainder when t is divided by 49.
46
Let h = 269 - 240. What is the remainder when 77 is divided by h?
19
Let c = 418 + -330. What is the remainder when c is divided by 25?
13
Let r = 174 - 109. Let m = 122 - r. Calculate the remainder when 341 is divided by m.
56
Let v be (0/(-3) + -1)/((-2)/(-34)). Let p = 67 + v. Calculate the remainder when p is divided by 17.
16
Let g(a) = 3*a**2 + 0*a**2 + a**3 - 2*a**3 - 2. Calculate the remainder when g(-2) is divided by (2 + 0)*-10*((-13)/2 - -6).
8
Suppose -23*b - 726 = -45*b. Calculate the remainder when 92 is divided by b.
26
Suppose x + 33 - 35 = 0. Suppose -z - 86 = -5*g, -z - x*z = 3. What is the remainder when g is divided by 10?
7
Let q be 88/(-20) - 4 - 3/5. Let x = q - -30. What is the remainder when x is divided by 11?
10
Let v(n) = -6*n. Calculate the remainder when (-4 - -2)*(-4)/(-60) - (-8296)/120 is divided by v(-4).
21
Let a = -88 + 187. Calculate the remainder when a is divided by 34.
31
Suppose 160 = 560*r - 558*r. Calculate the remainder when 144 is divided by r.
64
Let y be (-1)/((2/10)/(8/20)). What is the remainder when 62 is divided by (-160)/50*(-10)/(-8)*y?
6
Let g(d) = -3*d + 55. Let x be g(20). Let y(r) = -6*r - 16. Calculate the remainder when 94 is divided by y(x).
10
Let u(r) = -r**3 - 18*r**2 - r - 70. Let i be u(-18). Calculate the remainder when 312/(-16)*i/6 is divided by 58.
53
Let f(d) = -d**2 - 8*d + 9. Let g be -13 + -3*16/(-12). Let l be f(g). What is the remainder when 2/(8 - l)*124 is divided by 16?
