(1). Suppose -f = c - 51, -p = -3*c - 3*f + 7*f. Calculate the remainder when 367 is divided by c.
45
Let u(x) = x**3 + 92*x**2 + 186*x + 560. Calculate the remainder when 786 is divided by u(-90).
6
What is the remainder when (28 + -7 + -226)*((-64)/10 - 2) is divided by 40?
2
Let l = -1 + 3. Suppose 16 - 64 = -l*h. Let n = 3 + h. What is the remainder when n is divided by 15?
12
Suppose -14*g = -12*g + 14*g - 976. What is the remainder when 475 is divided by g?
48
Let g(v) = 426*v + 433. Calculate the remainder when 5366 is divided by g(-1).
4
Let k(p) = p**2 - 39*p - 42. Let v(f) = 3*f**2 - 79*f - 83. Let u(m) = -5*k(m) + 3*v(m). Calculate the remainder when u(13) is divided by 24.
19
Let h = -7 + 11. Suppose 0 = -h*s - 4*s + 1376. Suppose 20*d - 560 = 4*d. What is the remainder when s is divided by d?
32
Let t(v) = 2*v**3 - 149*v**2 + 78*v + 118. What is the remainder when t(74) is divided by (-250 - (-1)/1)/(-3)?
82
Let d = 19503 + -19485. Calculate the remainder when 1057 is divided by d.
13
Let q be ((-8)/(-6))/(4/12). Let a = 2 + q. Let i = -1367 - -1383. Calculate the remainder when i is divided by a.
4
Suppose -4891 = 38*r - 5854 - 12033. What is the remainder when r is divided by 45?
27
Let r(k) be the first derivative of 56*k**3/3 - 4*k**2 + 24*k + 115. Calculate the remainder when r(2) is divided by 78.
76
Suppose 146 = 2*c - 5*k, 5*c - 470 = 26*k - 31*k. Calculate the remainder when 225 is divided by c.
49
Let l be 5 + 42/(-8) + 1362/8. Suppose -6*j + l = -148. What is the remainder when j is divided by 9?
8
Calculate the remainder when 11790 is divided by 13/6 + -2 + (-94)/(-12) - -59.
65
Let y = -278 - 234. Let f = -475 - y. Calculate the remainder when 738 is divided by f.
35
Let b(s) = -s**3 + 17*s**2 - 16*s + 19. Let l be b(15). Let c = -139 + l. What is the remainder when c is divided by 35?
20
Suppose -5*a + 0 = -145. Suppose -791 + 197 = -9*l. Suppose -63*j - 606 = -l*j. What is the remainder when j is divided by a?
28
Suppose 4*o = -4*i + 12, 15 = 5*i - 6*o + o. Suppose 17*r + 3*b - 681 = 14*r, -i*r + 661 = -b. Calculate the remainder when r is divided by 9.
6
Suppose -3*a - h - 90 = 178, 0 = -2*h - 2. Let t = a + 152. Calculate the remainder when (t/14)/((-3)/(-90)) is divided by 28.
23
Let f = -182 + 186. Suppose 0 = -f*y + 8*l - 5*l + 389, -4*y - l = -393. Calculate the remainder when y is divided by 26.
20
Let r(f) = -208*f + 1684. Calculate the remainder when 183 is divided by r(8).
3
Suppose 0 = -c - 3, w + 3*w + 17 = c. Suppose -16 = -2*i, h - 4 - 9 = 5*i. What is the remainder when h is divided by w/((-15)/24) - -3?
9
Calculate the remainder when 79 is divided by (-16)/14 + (-20256)/(-672).
21
Let h = 11 - 8. Suppose 7*w + 4590 = 24*w. Let f = -255 + w. Calculate the remainder when f is divided by h.
0
Suppose 0 = -183*u + 188*u - 4*q - 16021, -5*u - 3*q + 15993 = 0. What is the remainder when u is divided by 89?
86
Let p(i) = 309*i + 489. What is the remainder when p(6) is divided by 34?
31
Let s be (-1708)/8 - 60/(-24). Let g = s + 262. What is the remainder when g is divided by 21?
9
Suppose 4*g + 124 = 5*a + 3*g, -a - 2*g + 16 = 0. Let s be 960/112 - 3/(-7). Suppose 6*i + 195 = s*i. Calculate the remainder when i is divided by a.
17
Suppose -4*c + 4*i + 468 = 0, 4*c - 59 = -5*i + 391. What is the remainder when c is divided by (-975)/(-26) + 6/4?
37
Let t = 237 + -224. Suppose -t*h = 11*h - 432. Calculate the remainder when 62 is divided by h.
8
What is the remainder when 187 is divided by 55 + -2 + (12/(-96) - (-78)/(-16))?
43
Suppose 14*q = 9*q + 10. Suppose 6 = -q*z + 26. Let c(k) = -3*k**2 + 38*k - 10. What is the remainder when c(z) is divided by 36?
34
Suppose -2*v - 4*p + 8 = 0, 0*p + 16 = 4*p. Let q be (-286)/v + 2/(-4). Let g = -36 + q. Calculate the remainder when g is divided by 12.
11
Let l(j) be the second derivative of 0 + 1/6*j**3 - 7/2*j**2 + j + 1/12*j**4. What is the remainder when 38 is divided by l(-5)?
12
Suppose -2*t = -5*v - 435, 4*v = 3*t - 211 - 431. What is the remainder when 465 is divided by t?
45
Let o(w) = w**2 + 3*w + 18. Let c be (-108)/(-378) + (-30)/7. Calculate the remainder when 43 is divided by o(c).
21
Let f(a) = -7*a - 45. Let s be f(-6). Let l(j) = 11*j**2 + 23*j + 3. Calculate the remainder when l(s) is divided by 5.
3
Suppose 0 = 3*g - 12, 10*s = 12*s - 4*g + 10. What is the remainder when 1489 is divided by s?
1
Suppose 15 + 277 = 27*c - 5. What is the remainder when 1481 is divided by c?
7
Let s(d) = 50*d**2 - 37*d**2 - 64 + 13*d - 12*d**2. Calculate the remainder when 105 is divided by s(-17).
1
Suppose 3*s - f - 351 = -4*f, 2*f = 2*s - 218. Suppose s = 4*d + 57. What is the remainder when 153 is divided by d?
13
Suppose -3*p = -6, -13*p + 14*p + 748 = 5*y. Let i(a) = -a + 6. Calculate the remainder when y is divided by i(-5).
7
Suppose 18 = -4*f + 34. Calculate the remainder when 159 is divided by 38 + f + (-6)/3.
39
Let b be (3 - (3 - 1)) + 7. Let i(q) = 10*q - 6 + 265*q**2 + 264*q**2 + 271*q**2 + q**3 - 809*q**2. Calculate the remainder when 23 is divided by i(b).
3
Let b = -2758 - -1953. Let v = 894 + b. Calculate the remainder when v is divided by 23.
20
Suppose -5*z - 4*k = -195, -2*k - 68 + 458 = 10*z. What is the remainder when 134 is divided by z?
17
Suppose 100*a - 7061 = -43*a + 2663. Calculate the remainder when 237 is divided by a.
33
Suppose -131*l - 26*l = -206 - 736. Suppose -4*m - 5*w + 16 = -19, w - 9 = -m. Calculate the remainder when (m/(-8))/((-1)/8) is divided by l.
4
Let c(t) = -12*t - 108. Calculate the remainder when c(-24) is divided by 64.
52
Suppose 9*k - 150 - 3 = 0. Let i(j) = j**2 - 3*j + 10. Let m be i(5). What is the remainder when 2668/m - 6/15 is divided by k?
14
Let f be (4 + 1)*6 - -1. Let i be 3 + f - 0/(-1). Suppose -2*y = -0*y - i. What is the remainder when 31 is divided by y?
14
Let i = -27 - -50. Suppose i = -5*u + 5*d + 258, -2*u = -4*d - 96. Let v(m) = -m**3 + 8*m**2 - 7*m - 6. Calculate the remainder when u is divided by v(6).
22
Suppose x - 9*x + 1400 = -1456. Calculate the remainder when x is divided by 67.
22
Let p = -26584 + 26769. What is the remainder when 1102 is divided by p?
177
Suppose 0 = a - 3*f - 7046, 269*f - 272*f + 28304 = 4*a. Calculate the remainder when a is divided by 20.
10
Let n = 17 - 26. Let g be (-15 - -3)/(n/6). Suppose -g = -5*s + 67. Calculate the remainder when 58 is divided by s.
13
Let j = -3414 + 2173. Let n = j + 1253. What is the remainder when (-554)/(-6) + (-2)/(-3) is divided by n?
9
Let y be -2*(135/18)/(-1). Suppose -550 - 470 = -y*g. What is the remainder when g is divided by 64?
4
Suppose 0 = -a - 3*a + 116. Let u(y) = 5*y**2 - 18*y + 43. Let s be u(6). Suppose -s = -29*t + 28*t. Calculate the remainder when t is divided by a.
28
Let s = 15 + 5. Let v(t) = t**2 - 19*t + 18. Let b be v(s). Let f = b + -22. What is the remainder when 27 is divided by f?
11
Suppose t - 98 = -t. Suppose 16380 = 66*j + 34*j - 16*j. Calculate the remainder when j is divided by t.
48
Suppose -4*l - 5*s + 112 = 0, -5*l = -10*s + 7*s - 140. Suppose 0 = -5*h - 135 + 685. What is the remainder when h is divided by l?
26
Suppose 28 = -4*c, 47*x - 4*c + 9207 = 52*x. What is the remainder when x is divided by 33?
32
Suppose 5*g + 20 = 0, 4*p - 8 = 5*g - 3*g. Suppose -3 = 3*i, p = m + 5*i + 394 - 1048. Calculate the remainder when m is divided by 11.
10
Suppose -2*m + 18*m + 128 = 0. What is the remainder when 72 is divided by (m/(-16) - (-236)/8) + -3?
18
Suppose x - 93 = -45. Suppose 43*u - x*u + 260 = 0. Let q(y) = 18*y + 1. Calculate the remainder when u is divided by q(1).
14
Suppose 516*n = 514*n - 132. What is the remainder when 201 is divided by (3 - n) + 6/2?
57
Let o = -284 + 277. Let f = 55 + o. What is the remainder when f is divided by 17?
14
Let p = 2297 + -2048. Calculate the remainder when 752 is divided by p.
5
Let b(y) = 2*y + 36. Let l = 13 + -1. Let h be b(l). Suppose -9*p = -6*p - h. What is the remainder when 36 is divided by p?
16
Let o(p) = 13*p**3 + 4*p**2 - 20*p + 10. Calculate the remainder when o(4) is divided by 142.
116
Suppose -143*u + 46*u = 109*u - 6592. Calculate the remainder when 970 is divided by u.
10
Calculate the remainder when 31452/(-42)*(-24 - -17) is divided by 8