7615. Suppose -5*m + m + 160 = 0. What is the remainder when m is divided by k?
1
Let p(i) = 6*i - 22. Let a(l) = -7*l + 22. Let b(z) = -2*a(z) - 3*p(z). Let u be b(-6). Let x = 99 - u. Calculate the remainder when x is divided by 14.
11
Let y = 3162 + -3148. Let o(v) = 360*v + 7. Calculate the remainder when o(2) is divided by y.
13
Let j = 6184 + -5421. Calculate the remainder when j is divided by 250.
13
Let i(y) = -200*y + 1692. Calculate the remainder when i(8) is divided by 12.
8
Let l = 679 + -677. Suppose 2*s = -l*k + 34, 0 = -k - 2*s + 10 + 2. What is the remainder when k is divided by 6?
4
Suppose 120 - 15 = 5*t. Suppose -5*g - 3*m = -81, -g = -0*m + 3*m - t. Let q = 2 + 20. What is the remainder when q is divided by g?
7
Calculate the remainder when (-5)/(8 - 2545/315) is divided by 13.
11
Let m(n) = -4*n - 6. Let o be 12/(-78) + (-56)/(-26). What is the remainder when 2546/133*7/o is divided by m(-5)?
11
Let t = -29 - -56. Let g(z) = 3*z**3 - 3*z**2 - 2*z - 12. Let h be g(7). Suppose 42*q = 34*q + h. What is the remainder when q is divided by t?
26
Suppose -23 + 31 = -8*z. Calculate the remainder when 268 is divided by (-1023)/(-15) + 3/15*z.
64
Let d = -148 + 151. Suppose 2*b = b + 4*w + 40, -b - d*w = -47. Calculate the remainder when 349 is divided by b.
41
Let q = 52 - 43. Let p(a) be the first derivative of -a**3/3 - 17*a**2/2 - 18*a + 17. What is the remainder when p(-10) is divided by q?
7
Let x(w) = -76*w + 421. Calculate the remainder when 439 is divided by x(5).
29
Calculate the remainder when 132 is divided by 2/((-5456)/22134 - (5/7 + -1)).
30
Let v(z) = 2*z**3 - 166*z**2 - 144*z - 243. What is the remainder when v(84) is divided by 356?
349
Let u(d) = -7*d + 18. Let o be u(-6). Suppose -o*v = -70*v + 140. Calculate the remainder when 95 is divided by v.
11
Suppose i + 3*i - 80 = -2*m, 3*i + 4*m - 65 = 0. Let z = i + -7. Calculate the remainder when z is divided by 7.
5
Suppose 54*h + 4278 = 60*h. Suppose -37*l = -14*l - h. What is the remainder when l is divided by 16?
15
Let a be 0*(2/12 - (-26)/(-39)). Suppose a = -12*i - 18 + 126. What is the remainder when 62 is divided by i?
8
Suppose 530 = 6*d - 5770. Suppose -3*q = -4*a - 69, 5*q + 3*a = 6*a + 115. What is the remainder when (24/5)/(9/d*5) is divided by q?
20
Suppose -5*y - 9 = -29. Suppose -y*s = -q + 5 + 9, 0 = 4*s + 2*q + 20. What is the remainder when (s/(12/(-69)))/1 is divided by 12?
11
Suppose -50014 = -65*i + 48*i. Calculate the remainder when i is divided by 7.
2
Let c = 5886 - 5473. What is the remainder when c is divided by 11?
6
Suppose 0 = 7*k - 10*k + 3, 2*k + 559 = 3*w. What is the remainder when w is divided by 101?
86
Suppose 0 = 5*f - h - 2290, -2*h + 4*h = 4*f - 1832. Let a = f - 427. Calculate the remainder when 153 is divided by a.
29
Let n = 1604 - 1583. Calculate the remainder when 14928 is divided by n.
18
Suppose 0 = -117*f + 66*f + 5253. Calculate the remainder when 4531 is divided by f.
102
Let g(o) = 3*o - 16. Let s be g(6). Suppose 0*v + 81 = v. Calculate the remainder when v is divided by (2*s)/(((-6)/14)/(-3)).
25
Let z be 1*20/5 + -4. Suppose -5*x - 2*q + z = -2, x + 4*q + 14 = 0. Suppose -3*w - x*c + 117 = c, 2*c = -6. What is the remainder when w is divided by 22?
20
Let l = -2340 + 2896. What is the remainder when l is divided by 80?
76
Suppose 0 = 33*w - 7*w - 5094 - 3720. Calculate the remainder when 450 is divided by w.
111
Let n = -1 + 19. Suppose -30*y + 381 = 3*f - 33*y, -494 = -4*f + 2*y. Calculate the remainder when f is divided by n.
12
Suppose -13*q = -11*q. Let j(z) = -z**3 + 2*z**2 + 8*z + 10. Calculate the remainder when 16 is divided by j(q).
6
Suppose -22*a = -26*a - 22*a + 1768. What is the remainder when 258 is divided by a?
54
Suppose -388*o + 3*g = -386*o - 67, 5*o + 2*g = 101. Calculate the remainder when 19823 is divided by o.
20
Let k = 29 - 25. Suppose -2*u + 162 = 5*g, 2*g + 2*g = -3*u + 236. Calculate the remainder when u is divided by 18 + 4 + -7 - k.
10
Suppose 0 = 18*d - 11*d - 511. Suppose 5*p + 26 = 4*f - d, 0 = -p - 3. What is the remainder when -52*-3*(-3)/(-6) is divided by f?
15
Suppose -3*z = -2*t - 4439, 59*t + 5928 = 4*z + 54*t. What is the remainder when z is divided by 133?
14
Suppose 22*w = 409 + 911. What is the remainder when 659 is divided by w?
59
Suppose 256 = -8*k + 40*k. Suppose -521 = -10*b + 259. What is the remainder when b is divided by k?
6
Suppose -3*d + 107 = b, 248*b - 250*b + 179 = d. What is the remainder when 698 is divided by b?
10
Let m(y) = 14*y**2 - 12*y - 14. Let v(r) = 16*r**2 - 13*r - 14. Let c(q) = 5*m(q) - 4*v(q). What is the remainder when 184 is divided by c(-3)?
56
Suppose -112*v - 5*v + 44205 = -1074. What is the remainder when v is divided by 7?
2
Let m(g) be the first derivative of 21*g - 1/3*g**3 + 45 + 15/2*g**2. Calculate the remainder when m(15) is divided by 11.
10
Let i(q) = -2*q**3 - 35*q**2 + 11*q - 99. What is the remainder when 86 is divided by i(-18)?
5
Suppose -124 = 14*u - 180. Suppose u*x = 8*x - 2*h - 38, 25 = -5*h. Calculate the remainder when 33 is divided by x.
5
Let c = 22 + 30. Calculate the remainder when ((-7)/28)/((-442)/281112) is divided by c.
3
Let f = -900 - -1004. Suppose f*j - 125 = 99*j. Calculate the remainder when 297 is divided by j.
22
Let t = 3 + 9. Let x(w) = -w**3 - 14*w**2 - 12*w + 2. Let i be x(-13). Let k = 57 + i. Calculate the remainder when k is divided by t.
10
What is the remainder when 2/12 + (-13)/(936/(-17556)) is divided by 62?
58
Let m = 302 - 280. Let j(f) = f**2 - 12*f - 51. What is the remainder when j(m) is divided by 59?
51
Let g(p) = 6*p**2 + 6*p - 2. Suppose 19732 = -35*z + 20432. Calculate the remainder when g(-5) is divided by z.
18
Suppose -4*g = -r - 52, 5*r = 5*g - 0*g - 65. Let k(m) = -m**2 + 33*m - 77. Calculate the remainder when k(g) is divided by 62.
59
Let o = 151 - 112. Let k be (-25)/20*(1 - (0 - 3)). What is the remainder when 7 + k + 9*17 is divided by o?
38
What is the remainder when 336 is divided by 16/(-2) + (15 - (-22 - -19))?
6
Suppose -4*s - 3*q = -62, -4*q = -5*s - 27 + 120. What is the remainder when 1899 is divided by s?
12
Let k(m) = 2*m - 5*m**2 - 42 + 9*m**2 + 18. Calculate the remainder when 191 is divided by k(4).
47
Suppose 0 = -46*a + 5493 + 3293. What is the remainder when 195 is divided by a?
4
Let q(b) = 3*b**2 - 26*b - 127. Calculate the remainder when q(-5) is divided by (-326)/(-14) - 2/7.
9
Suppose 17 = -5*b + 47, 0 = 4*t - 5*b - 1790. Suppose 0*h + n - 45 = -4*h, 0 = -h - 4*n. Calculate the remainder when t is divided by h.
11
What is the remainder when 276 is divided by 1/3*(106 + 3 + -1)?
24
Let n = -583 + 614. Let r = 155 - 61. Suppose 2*y - r - 88 = 0. What is the remainder when y is divided by n?
29
Let m(o) = -9*o**3 + 7*o**2 + o - 2. Let v be (21 - 28) + 2 + 2. Calculate the remainder when m(v) is divided by 38.
35
Let b = -33179 + 33259. Calculate the remainder when 1998 is divided by b.
78
Suppose -55*a + 112*a = 1653. Suppose -u - 11 = -2*u. Let c = u - 1. Calculate the remainder when a is divided by c.
9
Let m(w) be the first derivative of w**4/4 - 4*w**3/3 + w**2/2 - 2*w + 15. Let j be m(4). What is the remainder when 49 - (1/j)/((-2)/(-4)) is divided by 27?
21
Let f(c) = 74*c**2 + 241*c + 133. What is the remainder when f(-6) is divided by 231?
196
Let j(c) = c**2 + 25*c - 9. Let i be j(18). Suppose 5*f - i = -5*d - 0*f, 0 = 3*f - 15. What is the remainder when d is divided by 15?
13
Suppose 3*s - 58 = 4*m, -2*m + 4*m = -s + 6. What is the remainder when (208/(-78))/(8/(-246)) is divided by s?
12
Suppose a - 53 = -3*j, a + 37*j - 101 = 42*j. What is the remainder when 405 is divided by a?
50
Calculate the remainder when 13288 is divided by ((-5141)/(-106))/(4 - 28/8).
96
Suppose 0 = 2*i - 14 - 16. Calculate the remainder when 9/45 - (-8 - (-447)/(-15)) - -2 is divided by i.
10
Let s = -1630 - -2449. What is the remainder when s is divided by 32?
19
Let c = -51 - -147. Calculate the remainder when (-4)/10 - (c/(-40) + -7) is divided by 3.
0
Let v be (-190)/152*(-9 - -1). Calculate the remainder when 91 is divided by (-15)/(-1) + (63/7 - v).
7
Suppose -10*o - 5*k + 7985 = -5*o, -5*o - k = -7977. Suppose 0 = 6*p - o + 311. What is the remainder w