 = -10*v + 405. Let b be w(40). Suppose -1025 + 235 = -b*n. Calculate the remainder when n is divided by 7.
4
Let m(p) = 33*p**2 - p - 1. Let c be m(1). Suppose 0 = -4*g + c + 253. What is the remainder when g is divided by 9?
8
Suppose -5*q + 52 = -4*y, -2*q - 123 = 5*y - 25. Let h = y + 40. Calculate the remainder when h is divided by 8.
6
Let c(r) = -r**3 - 7*r**2 + 29*r + 32. Calculate the remainder when c(-11) is divided by 19.
7
Let u(d) = d**2 - 96*d + 1384. What is the remainder when u(12) is divided by 126?
124
Suppose 3*h - 4*h = -50. Let f(k) = 15*k**2 - 40*k - 41. Let c be 15 + 6 + -14 - 8. Calculate the remainder when h is divided by f(c).
8
Let f = 8862 - 8849. Calculate the remainder when 31861 is divided by f.
11
Let k(m) = -32*m - 45. Let s(v) = -34*v - 44. Let c(p) = 4*k(p) - 3*s(p). Calculate the remainder when c(-4) is divided by 10.
6
Suppose 5*f + 2 = s, 4*s - 3*f - 92 = -4*f. What is the remainder when s is divided by (-35)/(-20)*-4 - -20?
9
Let d(b) = -13*b + 357. What is the remainder when d(-4) is divided by 36?
13
Let r(o) be the third derivative of -19*o**2 + 1/6*o**3 + 0*o + 0 - 1/24*o**4. What is the remainder when 3 is divided by r(-2)?
0
What is the remainder when (-102)/(-1) - 21*1/7 is divided by 17?
14
Let m(i) be the first derivative of -9/2*i**2 - 8*i + 17. Calculate the remainder when 75 is divided by m(-4).
19
Suppose -3*i + 2*y - 324 + 362 = 0, 5*i = 2*y + 58. Calculate the remainder when 112 is divided by i.
2
Suppose 7*w - 306 = 10*w. Let f be (-4 - 14/(-4))*w. Suppose 7*l - 54 = f. Calculate the remainder when l is divided by 6.
3
Suppose 219 = 3*v - 4*g, 2*g = -227*v + 225*v + 118. Calculate the remainder when 253 is divided by v.
58
Let x = 7776 - 3865. Calculate the remainder when x is divided by 43.
41
Let v = -392 - -463. Calculate the remainder when v is divided by ((-5)/10)/((-6)/201)*4.
4
Calculate the remainder when (-1317)/(-57) + 30/(-285) is divided by 16.
7
Suppose -n + 15*j + 8031 = 10*j, 0 = 5*n - 3*j - 39979. Calculate the remainder when n is divided by 108.
107
Suppose -96*f - 468 = -98*f. Calculate the remainder when f is divided by 60.
54
Suppose 29*j = 1462 + 858. What is the remainder when j is divided by 30?
20
Let d(n) = n**2 - 14*n + 46. Let w = -229 + 239. Calculate the remainder when 7 is divided by d(w).
1
Suppose d = 2*l + 8, d - 16 = 13*l - 9*l. Suppose -3*i + 3*m = -90, -4*i + 0*i - m + 135 = d. Calculate the remainder when 459 is divided by i.
30
Suppose -217 = -5*u - 217. What is the remainder when 94 is divided by (-105)/70*((-16)/1 - u)?
22
Let y = -105 - -72. Let g = 44 + y. What is the remainder when 39 is divided by g?
6
Let o(p) = -2*p. Let h(i) = -2*i. Let y(m) = 2*h(m) + 18*o(m). What is the remainder when (-51)/(4335/2686)*10/(-4) is divided by y(-1)?
39
Let l = 5770 + -5755. Calculate the remainder when 769 is divided by l.
4
Suppose 2*w + 62*j - 60*j - 518 = 0, 2*w - 3*j = 518. What is the remainder when w is divided by 117?
25
Let c = -18 + -2. Let o = 33 + c. Suppose -22*j + 70 + 132 = -348. What is the remainder when j is divided by o?
12
Let t(c) = 36*c**3 - 678*c**2 - 114*c + 47. Suppose 2*k - 4*q = 148, 4*k + 0*q + q - 314 = 0. Calculate the remainder when k is divided by t(19).
31
Suppose 20*s - 15503 = -263. Calculate the remainder when s is divided by 52.
34
Let g be 1/((-4)/(-24))*(-6)/(-9). Suppose b - g = 2. Suppose -3*k + 20 = 5*n, -3*k + n - 40 = -b*k. Calculate the remainder when 72 is divided by k.
12
Suppose 2*z - 8 = 4*z, 4*z + 20 = a. Suppose 70 = 5*o - 5*p, 2*o = a*p + 26 + 4. What is the remainder when o is divided by 2?
1
Suppose 41*m - 39*m - 5*v - 461 = 0, 5*m - 2*v - 1163 = 0. Calculate the remainder when 239 is divided by m.
6
Let c(a) = -1576*a - 7608. Calculate the remainder when 1640 is divided by c(-5).
8
Suppose 555 + 520 = t + 3*m, -4215 = -4*t + 5*m. Suppose 5*y - 2*w = t, 667 = 3*y + 33*w - 28*w. What is the remainder when y is divided by 6?
4
Let l(j) = -35*j - 175. Let g be l(-6). Suppose -6*v + 115 + g = 0. Calculate the remainder when (-123)/(-2 - -1) - -1 is divided by v.
24
Let v = 33 - 8. Suppose 0 = m + 5*y - 94, -m + 145 = -5*y + 1. Calculate the remainder when m is divided by v.
19
Let c be 2/(1 + (-2)/6). Let n = c + 12. Suppose -5*u = -n - 0. Calculate the remainder when 6 is divided by u.
0
Let d = 70424 - 70397. Suppose -4*l + 28 + 16 = 0. What is the remainder when d is divided by l?
5
What is the remainder when (-981)/6*((-50)/30 + -3) is divided by 360?
43
Suppose -5*l + 668 = -3*k, 11*k - 8*k + 3 = 0. Calculate the remainder when 150 is divided by l.
17
Calculate the remainder when 256 is divided by (-23 - (-116 + 7)) + 8*1.
68
Suppose 0 = -234*j + 1327 + 2081 - 366. Let o(l) = 2*l**2 + l - 4. Let g be 1 - (1*6 + -1). What is the remainder when o(g) is divided by j?
11
Calculate the remainder when 558 is divided by 1/((-9)/33)*(-3 - -66)/(-7).
30
Suppose -6*g - 38 = g - 9*g. Let i(l) = -54*l - 1. Calculate the remainder when i(-1) is divided by g.
15
Let i = 271 + -269. Suppose -5*t = -5*x + 261 - 791, -224 = -i*t - x. What is the remainder when t is divided by 34?
8
Suppose -688*j = -352*j - 346*j + 5620. Calculate the remainder when j is divided by 71.
65
Let h = 167 - 71. Let w be -2 - (5 + -15 - (-1 + -1)). Suppose w = -2*s + 4*q, 3*s + 13*q - 36 = 10*q. What is the remainder when h is divided by s?
5
Suppose -n = -3*f - 26, -5*f + 5*n + 16 = 56. Let p(j) = 4*j**2 + 2*j + 3. What is the remainder when p(3) is divided by -3 + 1 - -1 - (-33 - f)?
22
Suppose 9*v + 864 = 36*v. Let z = v + 1. What is the remainder when 63 is divided by z?
30
Let q(g) = -2*g + 5. Let y be q(-1). Suppose 0 = y*f - 9*f + 274. Let l = 40 + 6. What is the remainder when f is divided by l?
45
Suppose 0 = 3397*t - 3245*t - 8360. Calculate the remainder when 550 is divided by t.
0
Suppose -5*b - 2*a = -147, a = 2*b - 53 - 4. Suppose 0 = -35*s + 40*s - 80. Suppose s*r = 5*r + 583. What is the remainder when r is divided by b?
24
Let d(v) = v**2 + 2*v + 3. Let h be d(-2). Let z(l) = -l**3 + 4*l - 6. Let o be z(h). Let c = o - -64. Calculate the remainder when 83 is divided by c.
40
Let t(l) = l**2 - 35*l + 37. Let x be t(34). Suppose -37 = -4*a + x*h + 18, -a = -4*h - 17. What is the remainder when 89 is divided by a?
11
Calculate the remainder when (138/16)/(504/245952) is divided by 20.
9
Let g = 26943 - 26856. What is the remainder when 690 is divided by g?
81
Suppose -78*c - 24*c = -12342. What is the remainder when c is divided by 22?
11
Let n(f) be the second derivative of f**4/12 + f**3/2 - 6*f**2 + 5*f. Suppose 9*d - 30 = 3*d. What is the remainder when n(-7) is divided by d?
1
Let q = 42 - 96. Let r = q + 64. Suppose -2*s - r = -60. Calculate the remainder when s is divided by 18.
7
Let p be (-214)/(-2) - (-24)/(-40)*-5. Suppose p*q - 104*q - 348 = 0. What is the remainder when 114 is divided by q?
56
Let o(w) = 6*w**3 - 20*w - 2*w**3 + 0*w**3 - 21*w**2 - 3*w**3 - 3. Calculate the remainder when 327 is divided by o(22).
40
Suppose -3488 = 26*p - 19868. Calculate the remainder when p is divided by 88.
14
Suppose 0 = 29*f - 24*f - 25. Suppose -3*c = f*m + 75, 5*c - 4*c + 25 = 4*m. What is the remainder when (10 - c)*6/7 is divided by 16?
14
Let k = -9320 + 9335. What is the remainder when 2/((-4)/(-74) + 0) is divided by k?
7
Let n(o) = o**3 - 17*o**2 - 21*o + 56. What is the remainder when 3440 is divided by n(18)?
0
Suppose n - 4*l = 1913, 7757 = -38*n + 42*n + 5*l. What is the remainder when n is divided by 176?
173
Suppose -14 - 54 = 2*m. Let x = 68 + m. Suppose -158*o + 157*o = -65. Calculate the remainder when o is divided by x.
31
Suppose 161*a = 157*a + 24. Suppose 2*v + 10 = 5*x - 0, -a = v - 2*x. Let y(s) = -6*s - 43. What is the remainder when 61 is divided by y(v)?
10
What is the remainder when 1174 is divided by 56/7 + 660/4 + -5?
166
Let m(k) = k + 1. Let g(i) = -4*i - 54. Let w(h) = g(h) - 2*m(h). Let n(f) = 1. Let j(y) = -6*n(y) + w(y). Calculate the remainder when 85 is divided by j(-14).
19
Suppose -583*t = -1170*t + 592*t - 85. Suppose 5*g - 175 = -2*s, 4*s + 4*g - 374 = 2*g. Calculate the remainder when s is divided by t.
10
Suppose -1454 = -6*c - 116. Let j = -221 + c. Calculate the remainder when 3 is 