 the remainder when m is divided by 51.
48
Suppose 163*f + 13*f - 43758 = -45*f. What is the remainder when 2368 is divided by f?
190
Suppose -q - 2*q = -2*l - 32, 4*q - 4*l - 48 = 0. Suppose 5*a + q*a = 169. Calculate the remainder when 90 is divided by a.
12
What is the remainder when 4/10 + (-32836)/130*-13 is divided by 219?
218
Suppose -44642 = -75*i - 141*i + 14*i. Suppose 3*u - 155 = -m - 3*m, 3*u + 149 = 4*m. Calculate the remainder when i is divided by m.
31
Let o = 96 - 58. Let g = -23 + 30. Suppose 8*n - g*n = 21. What is the remainder when o is divided by n?
17
Suppose -3*z + 72 - 174 = l, -4*z = -3*l + 149. Let i(p) = -p**2 - 37*p - 39. What is the remainder when 123 is divided by i(z)?
30
Let m(u) = -2*u + 21. Let g(k) = -260 + 123 + 3*k + 117. Let q(i) = 3*g(i) + 2*m(i). What is the remainder when 15 is divided by q(5)?
1
Suppose 4*m = 4*q - 617 + 57, -4*m = 2*q - 250. What is the remainder when q is divided by 16?
7
Let i = -410684 - -410816. Suppose x - 55 = -0*p + 2*p, -5*p = 5*x - 245. Calculate the remainder when i is divided by x.
30
Suppose -26*l + 23*l + 5369 = -2*a, -2*l = a - 3584. Calculate the remainder when l is divided by 594.
9
Let r(x) = 1907 + 2*x - 1962 - 57*x. Calculate the remainder when r(-4) is divided by 56.
53
Suppose 0 = 3*k - k - 10. Suppose -u + 47 = -y, -u + 44 = -5*y + 37. Calculate the remainder when u is divided by k.
2
Let j = 8671 - 7655. What is the remainder when j is divided by 143?
15
Let p = -93 - -91. Calculate the remainder when 67 is divided by (p/((-20)/18))/((-9)/(-150)).
7
Let o(z) be the third derivative of 8/3*z**3 + 1/3*z**4 + 13*z**2 + 13/60*z**5 + 0*z + 1/120*z**6 + 0. Calculate the remainder when o(-12) is divided by 23.
18
Let x(t) = -t**3 + 7*t**2 + 176*t + 1. Calculate the remainder when 2910 is divided by x(-11).
237
Suppose -4*w = 8 - 16. Suppose -t = -4*q + 51, -w*q - 175 = 5*t - 6*q. Let k = 11 - t. Calculate the remainder when k is divided by 16.
10
Let s = 37 - 33. Suppose -24 = 7*r - 13*r. Calculate the remainder when s/(-6)*102/(-4) is divided by r.
1
Let u(t) = 13*t**2 - 4*t - 5. Calculate the remainder when 247 is divided by u(3).
47
Suppose -3*z = -2*x - 9, -4*z - z = 2*x - 31. Suppose 290 = 4*n + r, -6*n = -x*n - 5*r - 229. Calculate the remainder when 218 is divided by n.
72
Let a = -233 + 2075. What is the remainder when a is divided by 41?
38
Let q(l) = -168*l + 1443. What is the remainder when 2175 is divided by q(8)?
96
Suppose 6*s + 85 = 902 + 533. Calculate the remainder when 236 is divided by s.
11
Let v = -3702 - -3924. What is the remainder when v is divided by 63?
33
Let v be 15 - (8 + -3) - 6. Let t = 31 - v. Calculate the remainder when 77 is divided by t.
23
Suppose -5*s + 4*f + 13 + 9 = 0, 40 = -2*f + 64. Let h = -5 + 14. What is the remainder when s is divided by h + (2 - 2)/1?
5
Suppose -2*f = 11*f - 2*f. Suppose -378 = -f*d - 6*d. Let l(m) = 3*m - 29. What is the remainder when d is divided by l(14)?
11
Suppose -173*p + 247*p - 7939 = -687. Calculate the remainder when 11462 is divided by p.
94
Let t = 869 - 465. What is the remainder when t is divided by 133?
5
Let v = 23 + 70. Suppose 2*c + 12 = p + 3*c, -2*c - 32 = -2*p. What is the remainder when v is divided by p?
9
Let g(f) = -5*f**3 + 589*f**2 + 156*f + 547. What is the remainder when g(118) is divided by 40?
31
Let f = 26456 + -25661. Calculate the remainder when f is divided by 140.
95
Let u be 3 + 0 - (51690/6 + -6). Let z be 0 + (-2)/(-10) - u/(-130). Calculate the remainder when (-332)/(-6) - (3 - z/(-18)) is divided by 30.
26
Suppose -12270 + 11730 = -15*f. Calculate the remainder when 419 is divided by f.
23
Let i = 33 - 29. Suppose -7*c + 183 = -4*c + i*y, c = 2*y + 71. Calculate the remainder when c is divided by 34/((-6)/(-9)*3).
14
Let p be 1*5/(-1)*-1. Suppose -p*d + 104 + 91 = 0. Suppose -f + d = -68. What is the remainder when f is divided by 22?
19
Suppose 23 - 27 = -4*d. Calculate the remainder when ((-1098)/(-90))/(d - 8/10) is divided by 4.
1
Let v = -656 + -603. Let k = -868 - v. Calculate the remainder when k is divided by 28.
27
Suppose -156 - 195 = -3*o - g, 0 = 3*o - 2*g - 333. Calculate the remainder when 1044 is divided by o.
9
Suppose 5*v + 264 = -176. Let h = 124 + v. What is the remainder when h is divided by 11?
3
Suppose 204 = 2*j + 2*j. Calculate the remainder when j is divided by (4 - (-4 - 44))*(1/2 + 0).
25
Let i(s) = -s**2 + 23*s + 1. Let b be i(7). Let t = -16 + 21. Suppose t*h - 177 = b. Calculate the remainder when h is divided by 10.
8
Let p be -1 + 270*-2 + (134 - 133). Let l = -450 - p. Calculate the remainder when l is divided by 34.
22
Let w = -82 + 35. Let l = w + -27. Let i = -54 - l. What is the remainder when 79 is divided by i?
19
Let w(z) = z**2 + 3*z + 67. Calculate the remainder when w(-11) is divided by 141.
14
Suppose y + 4*b + 35 - 55 = 0, 4*b + 220 = 5*y. Let t = -14 + 42. What is the remainder when 2/7 + 3268/t is divided by y?
37
Suppose 0 = -3*y - 5*j + 264, -471 = -5*y + 4*j - 2*j. Let f = y - 77. Calculate the remainder when 53 is divided by 2 + f/2 + 1.
9
Let m = 206 + -196. What is the remainder when -4*(-1 + (-165)/m) is divided by 25?
20
Calculate the remainder when 273/26*5648/24 is divided by 11.
7
Suppose 65*o = 69*o - 76. Suppose -368 = o*n - 2154. Calculate the remainder when 751 is divided by n.
93
Let f(t) = -17*t**2 - 292*t + 89. Calculate the remainder when f(-17) is divided by 114.
26
Suppose -138 = -3*d + t, 11 + 4 = -5*t. What is the remainder when d is divided by (26/4 + -3)*18/3?
3
Suppose 1233 - 201 = 3*b. Suppose 5*a + a = -3*n + 192, -5*n = 5*a - 335. Calculate the remainder when b is divided by n.
64
Let v be (-35)/((-56)/8)*489/15. Let w = v - 153. Calculate the remainder when (-4)/8*(-138 + 0) is divided by w.
9
Suppose -9*r + 4*r + 2948 = i, 2*r = 3*i + 1203. Calculate the remainder when r is divided by 30.
21
Suppose 17*u = 7*u + 30. Suppose u*b - 227 = 2*t, -b + 24 + 45 = t. Calculate the remainder when b is divided by 19.
16
Let b(l) = l**2 - 14*l - 300. Calculate the remainder when b(39) is divided by 95.
10
Let o = -161 + 188. Let h = o - -19. Calculate the remainder when h is divided by 15.
1
Suppose -2*h = -42*h - 760. Let u = h + 54. What is the remainder when 78 is divided by u?
8
Let r be 1*(-5)/(-35)*1*7. Let a(t) = 10*t**2 + 2*t - 2. What is the remainder when a(r) is divided by 2?
0
Let p(x) = 2*x**3 + 10*x**2 - 87*x - 2. What is the remainder when 168 is divided by p(5)?
42
Suppose 3*x - 2*g - 512 = 0, 3*x - 258 = 3*g + 258. What is the remainder when x is divided by 21?
0
Let g be 248/14 + (0 - (-4)/14). Suppose 0 = b + 3 - g. Suppose 0 = -t - 3*z + 21, 4*t - 3*z = z + 116. Calculate the remainder when t is divided by b.
12
Let x(h) = -8*h + 15. Let a(o) = -9 + 25 - 6*o - 2*o. Let p(z) = -4*a(z) + 3*x(z). What is the remainder when p(10) is divided by 16?
13
Suppose 0 = -21*z + z - 1380. Let p = z + 93. Calculate the remainder when 75 is divided by p.
3
Let k(w) be the second derivative of w**4/2 - 6*w**2 - 51*w. Suppose -3 = 4*v + 3*g, -4*v - 3 = 2*g + 3. What is the remainder when 165 is divided by k(v)?
39
Suppose 1 = z, 6*p + z = 2*p + 2257. Calculate the remainder when p is divided by 560.
4
Let z = -36930 + 38393. What is the remainder when z is divided by 11?
0
Suppose -4*x + 21 = -203. Let n = 141 + x. What is the remainder when n is divided by 1*24 + 0 + 75 + -66?
32
Suppose 30 = -3*p, -372*w + 370*w - 5*p = 20. Let g = 253 - 74. What is the remainder when g is divided by w?
14
Suppose -47 = -16*q + 209. Let b be ((-3)/12 - 2)/((-9)/24). Suppose b*r = 8*r - 54. Calculate the remainder when r is divided by q.
11
Let d(z) = 3*z**2 + 4*z + 19. Let m be d(-6). Let a = m - -13. What is the remainder when a is divided by 59?
57
Suppose -7*r = -98 + 7. Let m = -11 + r. Suppose -4*s - 88 = -m*q, -4*q - s = -0*q - 149. Calculate the remainder when 112 is divided by q.
36
Let q(z) = z**3 + 8*z**2 + 6*z - 2. Let j be q(-7). Suppose -9*b - y = -7*b - 283, -5*b = j*y - 720. What is the remainder when b is divided by 35?
34
Let b = 45 + 64. Suppose -5*g + 98 = -2*w - 18, 2*w = g - 28. What is the remainder when b is divided by g?
21
Suppose -232 = 2*z + 4*q - 398, 2*z - q - 161 = 0. Calculate