 Calculate the remainder when 74 is divided by a(c).
17
Suppose -1540 = 38*c - 60*c. Calculate the remainder when 137 is divided by c.
67
Suppose 11*d + 5*d - 992 = 0. Suppose -a + d = 43. Suppose -5*u + 4*t - 2*t + 739 = 0, 0 = -3*u - 2*t + 453. What is the remainder when u is divided by a?
16
Suppose r - 572 = -194. Suppose w + 55 = 5*k + 193, 0 = 3*w - 3*k - r. Calculate the remainder when w is divided by 39.
6
Let m = -5127 + 9573. Calculate the remainder when m is divided by 89.
85
Suppose -597 + 3227 = 53*q - 603. What is the remainder when 1030 is divided by q?
54
Suppose 1502*a = 93842 + 87900. Let q(r) = -14*r + 1. What is the remainder when a is divided by q(-3)?
35
Suppose -2*h - 142 = -3*i, 3*i - 6*i + 137 = -h. Let y(r) = r**3 - 10*r**2 - 9*r - 5. Calculate the remainder when i is divided by y(11).
10
Let y(m) = 371*m - 1681. Calculate the remainder when y(6) is divided by 9.
5
Let l = 1628 - 784. Let r = l + -828. Let m(t) = -t**3 + t**2 + 4*t - 2. Calculate the remainder when m(-4) is divided by r.
14
What is the remainder when (2 - 1)/(-8 + (-11795)/(-1470)) is divided by 13?
3
Let y = 1 - -47. What is the remainder when (-16)/(-6)*1260/y is divided by 8?
6
Suppose 10*k + 197 - 87 = 0. What is the remainder when 77 is divided by (k - 95/(-10))*(-80)/3?
37
Let j(s) be the third derivative of 5*s**4/24 + 4*s**3/3 + 29*s**2. Let l be j(0). Suppose 12*u - 108 = l*u. Calculate the remainder when u is divided by 5.
2
Calculate the remainder when (8 - 14)/(14/10 + -2) is divided by 0 + (414/161)/(4/14).
1
Let x = 1983 - 1976. Let b be (-5)/10*38*1. Let h = -2 - b. Calculate the remainder when h is divided by x.
3
Let b = 15676 + -15662. Calculate the remainder when 14655 is divided by b.
11
Let z(u) = -u**3 + 5*u**2 + 2. Let m be z(5). Suppose -12*l + 71 = -133. What is the remainder when (-4)/(-6)*201/m is divided by l?
16
Let t = -5466 + 5559. What is the remainder when t is divided by 44?
5
Let w be (7 - 10)/(1/3). Let v be (-30)/w - (-6)/(-18). What is the remainder when 274 is divided by ((-57)/v + -3)/(10/(-25))?
54
Suppose -4*u + 193 + 149 = -c, 4*u = -5*c + 306. What is the remainder when 754 is divided by u?
82
Let v be 1/5 + (-21)/5. Let o be 6/v*800/(-30). Let f = o + -39. Calculate the remainder when f is divided by 1.
0
Let p = -2 - -6. Suppose -4 = -4*a, -p*x + 3*a + 15 = -2*a. Calculate the remainder when ((-12)/14)/(2/(-14)) is divided by x.
1
Let s(c) be the second derivative of c**5/20 + 5*c**4/6 - 7*c**3/3 - 54*c**2 + 69*c. What is the remainder when s(-7) is divided by 69?
68
Let t = 224 - 203. Suppose -2*c + 7232 = 2*c. Calculate the remainder when c/22 - 8/44 is divided by t.
19
Let p = -474 + 478. Suppose 4 = 2*d - p, -4*d + 46 = 3*f. Let k = 84 - 47. Calculate the remainder when k is divided by f.
7
Suppose 115 = 4*m + 5*p, 2*m - 2*p - 26 - 18 = 0. Let g be 6*(-5)/((-20)/4) + -4. Suppose -g*a - 2 = -200. Calculate the remainder when a is divided by m.
24
Let t(u) = 6*u + 4. Let h(a) = a + 8. Let g be h(-4). Suppose 0 = -5*l - f - 3*f + 28, l - g*f = -4. Calculate the remainder when 137 is divided by t(l).
25
Let v = -4 - -8. Suppose -v*k + 63 = -g, -3*g + 5*k = 100 + 110. Calculate the remainder when 26 is divided by -219*5/g + 6/(-10).
12
What is the remainder when 0/(-2)*(-117)/234 + 1154 is divided by 50?
4
Suppose 1844 = 11*k + 150. Suppose -18 = -10*a + 7*a. Suppose 5*s - 189 = a. What is the remainder when k is divided by s?
37
Suppose 0 = 100*d - 155*d + 1705. What is the remainder when 6/9*(-882)/(-12) is divided by d?
18
Let q be (-722)/(-9) + (-2)/36*4. Let x = -64 + q. What is the remainder when 142 is divided by x?
14
Let w = -1823 - -2085. What is the remainder when w is divided by 107?
48
Let w be -5*(-6)/(-15) - -4. Suppose -3*q - 28 - 79 = -2*r, r - 36 = -w*q. What is the remainder when 321 is divided by r?
45
Let s = 8 - 5. Suppose 5*r - 183 = 2*m, -s*m + m - 5*r = 153. Let j = m - -144. Calculate the remainder when j is divided by 16.
12
Suppose -268*b + 267*b = -w + 25, 0 = -3*b + 21. What is the remainder when w is divided by (-29)/(-1 - (-2 - -2))?
3
Suppose -7*w + 0*w + 112 = 0. Suppose -q + 6*f - 3*f = 11, 0 = 2*q - f + 2. Calculate the remainder when q/4 - 1484/(-16) is divided by w.
13
Let p(q) = -q**2 - 67. Let k be p(0). Let z = k - -99. Suppose d + 3*d = z. What is the remainder when 31 is divided by d?
7
Suppose -4*u + 2*h + 304 = 3*h, 387 = 5*u + 3*h. Let p(w) = w**3 - 109*w**2 + 181*w + 3901. What is the remainder when p(107) is divided by u?
70
Suppose -30705 - 10090 = -199*j. Calculate the remainder when j is divided by 108.
97
Suppose 2125 = -19*h + 8547. Calculate the remainder when h is divided by 335.
3
Let m = -2 - -4. Suppose 2*a + 2 = 3*x, x + 9 - 1 = 5*a. Suppose -3*n + 3*f + 5 - a = 0, 23 = m*n + 5*f. What is the remainder when n is divided by 1?
0
Let c = -40 + 314. What is the remainder when 286 is divided by c?
12
Let l(z) = 8*z**2 + 256*z + 19. Calculate the remainder when 42 is divided by l(-32).
4
Suppose 5*f + 9 = 64 + 25. Let n = -3 - -4. Let i = 62 - n. Calculate the remainder when i is divided by f.
13
Let s(t) = 23*t**2 + 1. Suppose 21*i - 667 = 68. Calculate the remainder when s(2) is divided by i.
23
Suppose -4*b + 1580 = 4*t, 2*t - 625 = -3*b + 166. Suppose -8*r + t = -6*r. Calculate the remainder when r is divided by 51.
44
Suppose b - 32 = -x, -12*b + 17*b = -20. What is the remainder when 685 is divided by x?
1
Let b(t) = 16*t - 5. Suppose 17033 - 17438 = -45*p. Calculate the remainder when b(4) is divided by p.
5
Suppose -5*b + 5*l = -45, -b - 28 + 13 = 5*l. Suppose -171 + 61 = -b*v. What is the remainder when v is divided by ((-280)/(-490))/(-1*(-4)/70)?
2
Let c(j) = 376*j**2 + 93*j - 305. What is the remainder when c(3) is divided by 48?
46
Let v(y) = -8*y**3 - 17*y**2 - 44*y - 163. What is the remainder when v(-4) is divided by 218?
35
Let d(a) = 219*a + 2499. What is the remainder when 989 is divided by d(-11)?
89
Suppose 0 = 5*x - 82 - 73. Let y = -3 + 12. Calculate the remainder when x is divided by y.
4
Let b be (1 + -103)*(-13)/13. Suppose -3*w - 2*f + 208 = -148, 4*f - b = -w. Let r = w + -72. Calculate the remainder when r is divided by 17.
16
Suppose -i + 4*z + 168 = 0, 138 = 2*i - 3*z - 218. Calculate the remainder when i is divided by 75.
34
Let x = 757 + -1246. Let y = x - -530. What is the remainder when 124 is divided by y?
1
Let r = 2031 - 1983. Suppose 0 = 2*f + f - 855. Calculate the remainder when f is divided by r.
45
Suppose 3*c - 36 = -2*d, -73 = 2*c - 7*c + d. Let o = -1745 + 1127. Let s = -552 - o. Calculate the remainder when s is divided by c.
10
Let x = 78 + -67. Let l(w) = -w**3 + 12*w**2 - 12*w - 19. Let y be l(x). Let p = y - -39. What is the remainder when p is divided by 3?
0
Suppose 2*m = h + 22, 2*m + 70*h = 72*h + 22. Suppose -14*o - 2*y + 111 = -m*o, -2*o + y + 81 = 0. Calculate the remainder when o is divided by 1*15 - 2*1.
0
Let p = -412 - -137. Let a = p + 306. What is the remainder when a is divided by 22?
9
Let y = 5 + 8. Let d(q) = -3*q**2 - 27*q + 11. Let t be d(-9). Suppose -t*g = -0*g - 682. What is the remainder when g is divided by y?
10
Let r be (-1)/1 + 1*9. Suppose 3*d - 3 = -3*u - 0, -r = 2*d. Suppose -244 - 68 = -39*g. Calculate the remainder when g is divided by u.
3
Suppose -4*y + 40 = -7*v + 8*v, 0 = v - 4*y. Let m = 151 - 73. Calculate the remainder when m is divided by v.
18
Let q = 832 - 740. Let d = -64 + q. What is the remainder when 125 is divided by d?
13
Let h(g) = -1363*g**3 + 3*g**2 + 20*g + 19. Calculate the remainder when h(-1) is divided by 12.
9
Suppose 34 = 3*b - 5. Suppose 3*q + 333 = 3*l, 28*q - 30*q + 328 = 3*l. Calculate the remainder when l is divided by b.
6
Suppose 3*a + s + 68 = 6*a, 5*a + 5*s - 120 = 0. Let b(k) = k**2 + 4*k - 107. Calculate the remainder when b(-17) is divided by a.
22
Let r(f) = -8*f - 19. Let d be r(-3). Let o = -28 + 42. Calculate the remainder when 69 - (0/(-4))/d is divided by o.
13
Suppose -31*x + 186 = -0*x. What is the remainder when 44/16*(10 + -2) is divided by x?
4
Let v(c) = -c + 20. Let r be v(16). Suppose -2*w = -10 + r. Suppose -5*n = -w*n + m - 176, -79 = -n + 4*m. Calculate the remainder when n is divided by 22.
21
Let r = 22 + 43. Su