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smallest value in -0.3, n, 1/6?
1/6
Let u be (21/6)/(1/2). Let v = 1377 - 4129/3. Which is the second smallest value? (a) u (b) 1/3 (c) v (d) 0.4
d
Let s be 1614/840 + (-3)/(-12). Let j = s + -18/7. What is the third smallest value in 7, 5, j?
7
Let p(r) = r - 7. Let z = -9 - -14. Suppose 16 = 3*j - z. Let a be p(j). What is the biggest value in -2/11, a, 5?
5
Let i(s) = -s**2 - 8*s + 7. Let p be 2/((-3)/(-12)*-1). Let r be i(p). Let g be r/2 + -5 + 2. What is the biggest value in -3, g, 2?
2
Let o = 186.3 + -179. Let g = o - 14. Let c = g - 1.3. What is the second biggest value in -2, 1/7, c?
-2
Let f(i) = 12*i + 16. Let n be f(-1). What is the third biggest value in -8, n, 1/7, -2?
-2
Let x be 4/((90/35)/((-52)/(-28))). What is the biggest value in -4, -6, 1, x?
x
Suppose 2*z = 3*z + 2*f + 1, -4*z - 11 = f. Which is the third biggest value? (a) 0.3 (b) 242 (c) z
c
Let c = 56.8 - 57. What is the second smallest value in 3, 2/9, c?
2/9
Let y = 929 - 924. Which is the second biggest value? (a) y (b) 4 (c) 2/7
b
Suppose -4*v - 4 = -h, -3*v - 3*h + 2 - 5 = 0. Let l(i) be the first derivative of -3*i**2 - i - 14. Let y be l(v). What is the smallest value in 1, y, -0.5?
-0.5
Let j = -55.49 + 0.49. Let y = -44 - j. Which is the biggest value? (a) 2/7 (b) y (c) 5
b
Let a be 1/(3 + -2 + -2). Let n = -103/175 + 4/25. What is the third smallest value in -9, n, a?
n
Let h = -0.46 - 4.54. Let k = -5.5 - -6. Which is the third biggest value? (a) k (b) -0.5 (c) h
c
Let y = -11 + 20. Let k(r) = 2*r - 18. Let d be k(y). Let i = 1 + -0.8. Which is the second smallest value? (a) d (b) -3 (c) i
a
Let h be ((-8)/(-28))/((-68)/(-28)). Which is the fourth biggest value? (a) 12 (b) h (c) 1 (d) 1/2
b
Let t = -0.57 + 0.7. Let a = 0.03 - t. Let l = 8 - 5. What is the biggest value in l, -1, a?
l
Let r = -58 + 58.15. Let j = -0.45 + r. Let d = 0.3 - 0.1. Which is the third biggest value? (a) j (b) d (c) 4
a
Let m be (-72)/(-54)*(2 - -1). Let u be (-1 - m)*(-2)/(-35). Let n = -13 + 8. Which is the second biggest value? (a) n (b) u (c) -4
c
Let m = 928 - 928. What is the biggest value in -0.4, 3, 6, m?
6
Let i = -189 - -185. Let t = 0.3 - 0.1. Which is the second biggest value? (a) t (b) -3 (c) i
b
Let v = 0.06 + 3.94. Let i = 385.1 + -385. Let s(m) = -m**3 + 5*m**2 - 4*m + 1. Let x be s(4). Which is the biggest value? (a) i (b) x (c) v
c
Let i = -2832 + 2831.7. Let q = 0.4 + -0.45. Which is the second smallest value? (a) -0.5 (b) q (c) i
c
Let s = -841.98 - -842. Which is the smallest value? (a) 0 (b) 2 (c) s
a
Let m = -0.04 - 1.96. Let t = 1 + m. Let v = 9/35 + -37/105. Which is the third biggest value? (a) v (b) 1 (c) t
c
Let f = 2/19 - 48/95. Let g = 25/3 - 9. What is the third biggest value in 0.1, g, f?
g
Let f = 16.07 + -0.07. Let i = 86 - 101. Let j = i + f. Which is the third smallest value? (a) j (b) 0 (c) 1/6
a
Suppose -58*w - 3*t + 16 = -62*w, 5*w = 5*t - 25. Which is the third biggest value? (a) 3/2 (b) 2.61 (c) w
c
Let n be (9/(-15))/(((-6)/(-15))/(-2)). Suppose 6*u + 18 = -n*u. What is the third smallest value in u, 1/3, -4, 7?
1/3
Let x = 11 + -14. Let v = 48 + -195/4. Let m = 12 - 73/6. What is the smallest value in v, x, m?
x
Let u be ((-3)/(-4))/(2/(-8)). Suppose o + 3*o = 8. Suppose 5*s = o*s - 3. Which is the biggest value? (a) 0.03 (b) u (c) s
a
Let j be ((-6)/63*-3)/(126/(-294)). What is the biggest value in -62, j, -2/5, 0.1?
0.1
Let m = -17 - -39. Let a = 552 + -533. Let r = m - a. What is the biggest value in 0.06, r, 2?
r
Let m = 172 - 171. What is the third biggest value in m, -0.1, 3, 2.3?
m
Let z = -16 + 22. Let i = -5.7 + z. Let t = 4.94 - -0.06. Which is the third smallest value? (a) i (b) 0 (c) t
c
Let x = -132 - -114.4. Let m = x - -17.7. Let w = -5/4 - 1/4. Which is the third smallest value? (a) w (b) -2 (c) m
c
Let x = -54 + 54.051. Let z = x + 1.949. Which is the fourth biggest value? (a) z (b) -1/7 (c) 0.02 (d) 3/5
b
Let z = 0.332 + 0.068. What is the fourth smallest value in 5, z, -2/11, 0?
5
Let y = 47/12 + -8/3. Let g = 329 - 334. Which is the second biggest value? (a) g (b) 8 (c) y
c
Suppose 44 + 49 = 3*d + i, -4*d + 5*i = -105. Let k be (2 - 66/d)*2. What is the biggest value in -5, -4, k?
k
Let t = 208.4 + -208. Let j = -129/5 - -26. Which is the third smallest value? (a) t (b) j (c) 4
c
Let i = 0.06 - 0.18. Let g = 5.12 + i. Let x = g - 3. Which is the smallest value? (a) x (b) 1/2 (c) -2/9
c
Let l = 4 + -1. Let r = -0.89 - 0.61. What is the biggest value in 4, r, l?
4
Let d = 799 + -792. What is the second smallest value in 0.8, d, 10?
d
Let s = 8 - 10. Let z = -16.572 + 0.572. Which is the third biggest value? (a) 2/3 (b) z (c) s
b
Suppose -h + 3*z - 2 = 0, -4*h - z - 36 = z. Let f be (2/(-4))/(1 + 10/(-6)). Which is the fourth biggest value? (a) h (b) 4 (c) 1/2 (d) f
a
Let c = 0.09 - 1.09. Let a(x) = -82*x + 1. Let d be a(-2). Let s = d - 821/5. What is the smallest value in s, 0.06, c?
c
Suppose -3*o - 140 = -8*o. Let z be 8/12 - 16/o. Let r be 6*(1 - (-2)/(-4)). Which is the third biggest value? (a) r (b) z (c) -5
c
Let o = -0.013 - 34.987. Let a = 34.6 + o. What is the third smallest value in a, 1/12, 3/4?
3/4
Let g = -84.55 - -82. Let f = g - 0.45. Which is the second biggest value? (a) f (b) -1/3 (c) -0.2
b
Suppose -2*d - 3*l - 30 = -5*d, 0 = -2*d - 4*l + 32. Let h be (-6)/230*236/d. Let o = -2/23 + h. Which is the third smallest value? (a) o (b) -2/7 (c) 0.3
c
Let q be (-16)/(-1 - 1)*-1. Let c be (-4 + 3)/((-20)/q). Let h = 8 - 7.2. What is the second biggest value in h, c, -3?
c
Let g be 91/364 - 1/(-44)*13. Let m = 0.2 + -0.3. Let f = m + -2.9. Which is the second biggest value? (a) f (b) g (c) -2
c
Let h be (35/49 - 1)*-7. Suppose a + 2*o + 3*o + 1 = 0, 0 = -5*a - 3*o + 61. What is the biggest value in a, h, 5/6?
a
Let n = -3 + 1. Suppose -14 = -4*g + 10. Let w(t) = -t**2 + 8*t - 9. Let m be w(g). What is the smallest value in -1, m, n?
n
Let y = -2.03 - -0.03. Let u = -11 + 13. Let i be 8/10*(3 + u). Which is the third smallest value? (a) y (b) i (c) 3
b
Let k = 2.9 + -19.9. Let t = k + 22. Let v be 6/(-8) + 29/28. Which is the biggest value? (a) -5 (b) t (c) v
b
Suppose -17*p - 9*p = -130. Which is the smallest value? (a) 1.9 (b) -0.01 (c) p
b
Let i = -395 + 395. Which is the biggest value? (a) i (b) 7/3 (c) -2 (d) -5
b
Suppose -9*n - 27 = -18*n. Let v = -3.2 + 3. Let f = 130 + -908/7. Which is the second biggest value? (a) n (b) f (c) v
b
Let m = -725.1 + 725. What is the fourth biggest value in 7, -4, -0.05, m?
-4
Let h = -2 + 6. Let q = 535 - 533. What is the biggest value in q, 0.3, h?
h
Let d be 24/(-30) - (-348)/(-15). Let y be (3/6)/((-6)/d). Suppose 4*o - p + 6 = 17, o - 1 = y*p. Which is the second biggest value? (a) 4/3 (b) o (c) 0.5
a
Let m be (-5)/(-2) + -1 + 0. Suppose 8*d - 81 = -d. Let h = d + -9. What is the third smallest value in m, -4, h?
m
Let k = -282 - -287. Let j = -1 + 3. What is the second smallest value in -0.1, -10, k, j?
-0.1
Let y = 1033 - 978. Which is the fourth biggest value? (a) 0 (b) 1 (c) 2 (d) y
a
Let n be (10 - 12)*(-2 + 1). Which is the second smallest value? (a) 17 (b) n (c) -0.1
b
Let s = 571/2 + -285. Which is the third smallest value? (a) -1/7 (b) 23/2 (c) 2 (d) s
c
Let t = -16.15 + 15.85. Let w = 0.4 + -2.4. Let l = 4 + -4.4. Which is the biggest value? (a) l (b) t (c) w
b
Let l = 20 + -25. Let f be 2586/740 + (-1)/1. Let s = 1/185 + f. What is the third biggest value in s, l, -1?
l
Let i = 0.4 + 0.1. Let l = 16 - 14. Let o be 3*(-2 + l + 1). Which is the biggest value? (a) o (b) 1/5 (c) i
a
Let d = -6 - -8. Let j = -1145 - -1141. What is the second smallest value in d, 1, -2, j?
-2
Let i = 7.034 - 0.084. Let p = i - -0.05. Let j = 8 - p. What is the second smallest value in -9, j, -0.2?
-0.2
Let c = 0.06 + 0.34. Let p = 6654 + -6656. What is the second biggest value in -3/4, 5, p, c?
c
Let i = -6.9752 - 0.0248. Let y = 5 - 7. Let t = y - i. Which is the second biggest value? (a) -4 (b) t (c) 1/2
c
Suppose 5*r + s - 2 = -0*s, 3*r - 12 = 3*s. Which is the second biggest value? (a) r (b) 15 (c) 0.2
a
Let h = 266.978 - 262. Let z = h - -0.
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{
"pile_set_name": "DM Mathematics"
}
|
?
3
Suppose -3 = -i + 2. Suppose 12 = i*d + 2. Suppose 0*v + 12 = d*v. What is the units digit of v?
6
Suppose 0 = 2*k - 189 - 399. What is the hundreds digit of k?
2
Suppose 0 = -2*y + k + 28, -2*y + 76 = 3*y - k. Let c be (-30)/3 - 2/2. Let x = c + y. What is the units digit of x?
5
Suppose 0 = -3*l + 67 + 86. Let b = -34 + l. What is the tens digit of b?
1
Let i be -4 - 4*(-3)/6. What is the units digit of (16/(-72))/(i/18)?
2
Suppose 0 = r - 0*r - 2*j, -r = -5*j. Let v(h) = -h**3 + 14*h**2 + 2*h - 12. Let s be v(14). Suppose -3*a + 5*a - s = r. What is the units digit of a?
8
Suppose -2*i = -15 - 7. What is the units digit of i?
1
Let m(y) = 3*y**2 - 10*y - 11. What is the units digit of m(-8)?
1
Let m(r) = -r**3 - r**2 + r. Let w be m(-1). What is the units digit of (w/2 + 0)*-52?
6
What is the hundreds digit of (-3 - -1)/(-3*(-2)/(-315))?
1
Suppose -3*f = 0, -2*a + 5*a = f + 96. Suppose -a = 2*k + k - 2*m, -m = -3*k - 28. What is the units digit of (-10)/k*(7 - -1)?
0
Suppose t + 29 = m, 0 = -2*m + 4*t + 19 + 29. What is the units digit of m?
4
What is the tens digit of (-54)/9*(-30)/4?
4
Let p be (2/(-4))/((-1)/(-4)). Let r be p*((-6)/(-3) - 4). Suppose a + 5*d = -3*a + 65, -4*d + 60 = r*a. What is the units digit of a?
0
What is the tens digit of 2/6*1*237?
7
Let r = -2 - -4. Suppose r*m - 42 = -5*g, 0*g + m + 7 = g. What is the units digit of g?
8
Let f(u) = -5*u**2 + 1. Let d be f(1). Let s = d + 3. What is the units digit of (-2)/((-9)/6 - s)?
4
Suppose -5*w = -4*k - 33, -w + k + 22 = 3*w. Suppose w*y = 6*y - 19. What is the units digit of y?
9
Suppose -2*j - 16 = 2*j. Suppose 24 = -8*g + 4*g. Let m = j - g. What is the units digit of m?
2
Suppose -14 = -2*w - 4*q, -w - 14 = -3*w + 3*q. Suppose 48 = w*a - 3*a. Suppose -5*d + 3*n = -a - 20, -5*d = -n - 24. What is the units digit of d?
4
Let s(y) = y. Let t be s(3). Suppose 4*d - 1 = t*d. Let p(x) = 14*x**3. What is the tens digit of p(d)?
1
Suppose -p + 4*g + 68 = 0, -9*p + 11*p - 3*g - 136 = 0. What is the units digit of p?
8
Let x = 164 + -103. What is the tens digit of x?
6
Suppose -21*k + 16*k + 125 = 0. Suppose a + 5*d - 4*d = k, 3*d = -5*a + 135. What is the tens digit of a?
3
Suppose 10 = -5*x + 4*v, 5*v - 30 - 3 = -4*x. Suppose -16 = -2*g + x*b - b, 2 = -b. What is the units digit of g?
7
Suppose 18 = -2*h + 4*o, 1 + 0 = 3*h + o. Let x be (h + 0)/(2/(-10)). Let b = 6 - x. What is the units digit of b?
1
Let z(c) be the second derivative of c**5/5 - c**3/3 - c**2/2 + 5*c. What is the units digit of z(2)?
7
Suppose -x + 2*b + 6 = 0, -b - 4 = 2*x + 3*b. Suppose -o - x*o + 27 = 0. What is the units digit of o?
9
Suppose 3 = s + 5. What is the units digit of s/(-3)*54/4?
9
Let k = 417 - 296. Let j = k + -73. Suppose -5*h = -h - j. What is the units digit of h?
2
Let j(u) = -u**2 - 3*u + 3. Let m be j(-5). Let s be (-14)/8 - (-2)/(-8). What is the units digit of s/(-4) + m/(-2)?
4
Suppose 29 = d - 16. Suppose 0 = 2*x + 3*x - d. Suppose -5*h - 15 = 0, 2*r + r - x = -5*h. What is the units digit of r?
8
What is the units digit of (-232)/(-6) + (-6)/9?
8
Let j = 2 - -2. Let t be (6/j)/(3/20). Suppose b + 2 = t. What is the units digit of b?
8
Let r = 7 + -5. Suppose 0 = 3*y + y - 4*o - 8, 16 = r*y - 5*o. Let h = y - -5. What is the units digit of h?
3
What is the tens digit of 3*166*(24/(-9) + 3)?
6
Let x = -3 + 35. Suppose 5*k + x = 7*k. What is the tens digit of k?
1
Suppose 0 = i + 1 + 1. Let y be 0/1 + i - -4. Suppose 4*z - 58 = -z + 4*x, -y*x + 16 = 2*z. What is the units digit of z?
0
Let q(j) = -j**2 + 11*j + 4. What is the tens digit of q(6)?
3
Let n = -8 + 7. Let u = n + 7. What is the units digit of u?
6
Suppose 5*k - 757 = 43. Suppose 3*h = -h + k. Let b = 61 - h. What is the tens digit of b?
2
Suppose 5*b - 4*b - 431 = -3*l, 0 = 5*b - 10. What is the units digit of l?
3
Suppose g + 3*y + 1 = 0, -3*g + 3 = -y + 6. What is the units digit of -15 + 21 + (g - -1)?
6
Let z(a) = 2*a**3 - 7*a**2 + 8*a - 31. What is the tens digit of z(7)?
6
Let u = -6 + 9. What is the units digit of (-4)/(1/(u/(-6)))?
2
Suppose 3*y + y - 16 = 0. Suppose 3*o = y*t + 60, o + 0*o - t - 20 = 0. Let x = o + -14. What is the units digit of x?
6
Let t = -5 - -3. Let c = 23 - 20. What is the units digit of 16/t*(-4 + c)?
8
Suppose 4*f + 20 = 4*s + 8*f, -5*f + 9 = -3*s. Suppose s*l = 6*l - 20. Suppose 0 = -l*g - 1 + 6. What is the units digit of g?
1
Let c = -3 - -4. Suppose 0 = -5*y + 26 - c. What is the units digit of y?
5
Let r(m) = 9*m**3 + 2*m + 1. What is the tens digit of r(2)?
7
Let v be -1*(0 + -6)/(-1). Let r(f) = 3*f**2 + 11*f + 5. Let o(i) = -i**2 - i + 1. Let a(z) = -2*o(z) - r(z). What is the units digit of a(v)?
1
Let u = -22 - -36. Let o = -9 + u. What is the units digit of o?
5
What is the units digit of (36/14)/(6/56)?
4
Suppose -u = -b + 81, 0 = 5*b - 3*u + u - 408. What is the tens digit of b?
8
Suppose 4*j = 5*u - 5, 4 + 1 = 5*u + j. Suppose o + u = 21. What is the tens digit of o?
2
Let r be (3 + 1)*(-4 + 5). Suppose 3*o - 3*i - 18 = -6*i, 3*o = r*i + 39. Let g = 13 - o. What is the units digit of g?
4
What is the tens digit of 3 + 12/4*-19*-1?
6
Let x(f) = -5*f**3 + f + 1. Let h be x(-1). Suppose -47 + 2 = -h*r. What is the units digit of r?
9
Let r be (-4)/(-2) + (-3 - -2). Let j = r + -3. What is the units digit of j/8 + 20/16?
1
Let n = -11 + 15. Suppose n*h - 36 = 2*h. Suppose -7*l - b + h = -2*l, 5*l - b = 22. What is the units digit of l?
4
Suppose 2*w - 14 = 2*q, 8*w + 2*q - 21 = 3*w. Suppose w*d - 100 = 5*k, k - 2*d - 85 = 4*k. Let s = k - -37. What is the tens digit of s?
1
What is the units digit of (4 + -1)*5/5?
3
Suppose 4*f = -5*n + 484, -4*n + 193 = -2*n + f. What is the tens digit of n?
9
Suppose -10*w + 8*w = -628. What is the tens digit of w?
1
Let q(t) = 14*t**2. Let n be (-2)/6*(-7 + 10). What is the units digit of q(n)?
4
Let s be 1/(-2) - 98/4. Let f = s - -34. What is the units digit of f?
9
Suppose 4*c = c + 21. Let u(z) = -z**3 - 6*z**2 + 3*z + 4. Let t(x) = 2*x**3 + 5*x**2 - 2*x - 3. Let i(h) = -2*t(h) - 3*u(h). What is the units digit of i(c)?
8
Let s = 6 - -39. What is the tens digit of s?
4
Let p be 10/((-1 - 2) + 5). Suppose 14 = -p*w + 69. What is the units digit of w?
1
Let v = 81 - 11. What is the tens digit of v?
7
Suppose 0*w + w + 5 = n, -3*n + 9 = 3*w. Suppose 7*k = 3*k + n, 3*l - 22 = 2*k. What is the units digit of l?
8
Suppose -g + 28 = 3*s - 3*g, -2*s + 4*g + 16 = 0. What is the units digit of s?
0
Suppose 4*j + 7 = z, 0*z + 2*j + 14 = 4*z. What is the units digit of z?
3
Let d(i) be the second derivative of -21*i**5/20 + i**3/3 + i**2/2 - 3*i. What is the units digit of d(-1)?
0
Let x(m) = m + 4. Let n(a) = 3. Let q be 3/(-2)*(3 - 1). Let y(d) = q*n(d) + 2*x(d). What is the units digit of y(3)?
5
Suppose -5*b + 52 + 23 = 0. Let u = 5 + b. Suppose 2*w - 6*w + u = 0. What is the units digit of w?
5
Let w(j) = 6*j**2 + j. Let k(i) = -i**3 - 5*i**2 - 3*i + 1. Let b be k(-4). Let u be w(b). Suppose 2*f - 5*f = -u. What is the units digit of f?
7
Let p(t) = t**2 - 13*t + 7. Let n be p(9). Let y = 41 + n. Let a = -5 + y. What is the units digit of a?
7
Suppose -p - 4*o = -154, -3*o - 162 = -p - 5*o. What is the hundreds digit of p?
1
Suppose 2*w = z + 65, -5*w + 0*z = -z - 167. What is the tens digit of w?
3
Let d be (-20)/(-6)*9 - 1. Let g = d + -24. What is the units digit of g?
5
What is the tens digit of ((-460)/6 + 0)*(-12)/10?
9
Suppose -4*t + 9*t = -20. Let c be (-82)/(-8) + (-6)/24. Let x = c - t. What is the tens digit of x?
1
Let j(c) = 19*c - 32. What is the hundreds digit of j(7)?
1
Let m(x) = x**3 - 5*x**2 + 5*x - 4. What is the tens digit of m(6)?
6
Suppose 0 = -2*v + 4*d - 6*d - 80, -4*v + 2*d - 130 = 0. Let t = 58 + v. What is the tens digit of t?
2
Let j be -4 - -2 - 2*-2. Suppose 61 = j*o - 11. Suppose -3*a - a = -o. What is the units digit of a?
9
Let b be (-1 + 67)*(-4)/(-12). Suppose -58 = -q - b. What is the units digit of q?
6
Let k = -15 + 19. Suppose 7*i - 3*i = -4*r - 24, 3*r = -4*i - 23. What is the units digit of 19/k - r/4?
5
Suppose 9 = 2*b + b. Suppose 18 = -b*h + 5*h. What is the units digit of h?
9
Suppose 2*n + 58 = 6*n - 3*l, 5*l = 10. Suppose -4*m = -5*m + n. What is the tens digit of m?
1
Let t be -1*(-2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
87549*z
Find the second derivative of -5*m**5 + 48959150*m**3 - 1314096*m wrt m.
-100*m**3 + 293754900*m
Find the third derivative of -2*o**3*q**3 - 387046191*o**3*q + 29*o**2*q**3 - 3*o*q**3 + 2612*o*q wrt o.
-12*q**3 - 2322277146*q
Find the third derivative of -29004*o**5 - 219*o**3*q**3 - 62*o**2*q**3 + 125581*o**2*q**2 wrt o.
-1740240*o**2 - 1314*q**3
What is the second derivative of 33846*a**3 - 6506*a**2 - 313899391*a?
203076*a - 13012
Find the second derivative of 1228873740*f**2 + 4*f + 3142132.
2457747480
Find the third derivative of 54*s**4*y + 404*s**4 - 25*s**3*y - 2*s**3 - 19028251*s**2*y wrt s.
1296*s*y + 9696*s - 150*y - 12
What is the second derivative of -4*g**3 + 6461075*g**2 - 2354235*g + 2?
-24*g + 12922150
Find the first derivative of 2*t**3 - 73*t**2 - 152557*t - 18207541.
6*t**2 - 146*t - 152557
Differentiate 7114278*o**3 + 7148743 with respect to o.
21342834*o**2
Find the third derivative of 33*h**6 + 55854*h**3 - 1248*h**2 + 2*h - 607.
3960*h**3 + 335124
Differentiate -8715183*t + 69788452.
-8715183
Find the first derivative of -68019766*d**2 + 13159459.
-136039532*d
What is the derivative of -4728*j**4 + 2445*j**2 - j - 695399702?
-18912*j**3 + 4890*j - 1
What is the derivative of 22*r**2*t**3 + 501715*r**2 - 2*r*t + 13*t**3 + 2*t**2 - t + 36663 wrt r?
44*r*t**3 + 1003430*r - 2*t
What is the derivative of -1173844853*b**2 + 522818773?
-2347689706*b
Find the second derivative of -o**3*q**2 + 1504266*o**2*q**2 + 1445*o*q + 3*o - 2*q**2 - q wrt o.
-6*o*q**2 + 3008532*q**2
Find the third derivative of 26*p**5 + 209570*p**4 + 2*p**3 + 1840*p**2 + 294*p - 9 wrt p.
1560*p**2 + 5029680*p + 12
Differentiate -10*g*z**2 + 1051318*g*z + 2*g + 3*z**2 - 37779959 with respect to z.
-20*g*z + 1051318*g + 6*z
Find the third derivative of -2820596*b**6 + 21670*b**2 + 56*b wrt b.
-338471520*b**3
Find the second derivative of 26208381*x**2 - 26410020*x - 2 wrt x.
52416762
Find the first derivative of -447*l**3 - 496*l - 3619423 wrt l.
-1341*l**2 - 496
What is the third derivative of 5647530*m**3 + 31342346*m**2?
33885180
Find the second derivative of -15108816*m**4 + 119049*m + 93.
-181305792*m**2
Find the third derivative of -1232*r**4 - 45448*r**3 + r**2 + 4*r + 593205 wrt r.
-29568*r - 272688
What is the first derivative of -b**3*w - 5*b**3 - 6199*b**2*w - 72*b**2 + 262*b*w - 52*b - 71 wrt w?
-b**3 - 6199*b**2 + 262*b
Find the third derivative of -2*r*x**4 + 1374*r*x**3 - 105*r*x**2 - 152*x**5 - 87*x**2 + 211 wrt x.
-48*r*x + 8244*r - 9120*x**2
Find the third derivative of -665081901*j**4 - 2*j**2 - 187426075.
-15961965624*j
Find the second derivative of -7811*h**4 - 187*h**3 + 3*h**2 + 6*h + 58007.
-93732*h**2 - 1122*h + 6
What is the third derivative of 16128*m**4*r - 1568*m**3*r + 72*m**2*r + 2*m**2 - 15479*m*r + 1 wrt m?
387072*m*r - 9408*r
What is the second derivative of 236177*a**2*k**3 + 268*a**2 - 17*a*k**3 - 15809*k wrt k?
1417062*a**2*k - 102*a*k
Differentiate 7310*q**4 + 433*q**3 + 1842306.
29240*q**3 + 1299*q**2
Differentiate -10*m**2*u - 6*m**2 + 40809*m*u + 21*m + 447599302*u wrt m.
-20*m*u - 12*m + 40809*u + 21
What is the second derivative of -17349*n**4 + 252*n**3 - 21867934*n?
-208188*n**2 + 1512*n
What is the derivative of 7*k**3 - 74*k**2 - 7*k - 512415277?
21*k**2 - 148*k - 7
Find the first derivative of 63338*j**3*r + 45602*j**3 - 5*j**2*r + 3*j*r + 949*j + 9*r wrt r.
63338*j**3 - 5*j**2 + 3*j + 9
Find the third derivative of f**5 - 57277*f**4*h + f**4 - f**2*h + 2*f**2 - 1883*f*h + 48*f + 2 wrt f.
60*f**2 - 1374648*f*h + 24*f
Find the third derivative of -41606*d**3*n**2 + 82*d**3*n + 4*d**2 + 2050304*d*n**2 wrt d.
-249636*n**2 + 492*n
Find the second derivative of 13509745*s**4 + 162802*s - 1 wrt s.
162116940*s**2
Differentiate 60180002*n**4 + 9028351.
240720008*n**3
What is the third derivative of -136407*b**4*v**3 + b**3*v**3 - b**3 + b**2*v**3 + 2*b**2*v - 6*v + 5410 wrt b?
-3273768*b*v**3 + 6*v**3 - 6
Find the second derivative of 6313670*t**2 - 2657236*t.
12627340
What is the derivative of 221057839*k**2 + 32757746 wrt k?
442115678*k
What is the third derivative of -109*r**5 - 148*r**4 + 938*r**3 - 5030477*r**2 - r - 2 wrt r?
-6540*r**2 - 3552*r + 5628
Find the second derivative of -115135447*u**3 - 4127401*u + 20.
-690812682*u
Differentiate 7*m**2 - 2328039*m - 267319833 with respect to m.
14*m - 2328039
Find the third derivative of -14282235*k**6 + 2*k**5 + 62998332*k**2.
-1713868200*k**3 + 120*k**2
What is the third derivative of -21936*q**5 - 48*q**4 + 5*q**2 + 14207*q + 4 wrt q?
-1316160*q**2 - 1152*q
Find the first derivative of 265364*a*i**2 + 2*a - 148656*i**2 + i + 5 wrt a.
265364*i**2 + 2
Differentiate 16613329*f**3*y + 9080386*f**3 - 2 wrt y.
16613329*f**3
Differentiate 2*k**3*l - 3*k**3 + 103*k*l - 25*k - 7006*l + 370 wrt k.
6*k**2*l - 9*k**2 + 103*l - 25
Find the second derivative of -283769958*m**2 - 413341239*m.
-567539916
Find the second derivative of -107*m**4 - 9*m**3 + 184*m**2 - 655738*m + 91 wrt m.
-1284*m**2 - 54*m + 368
Differentiate 2579*b*l + 1338*b + 179669*l - 2 wrt b.
2579*l + 1338
Find the second derivative of 3169685*q**5*r - q**3*r**3 - 524*q*r**3 + 4*q*r + 2*q + r + 54 wrt q.
63393700*q**3*r - 6*q*r**3
Find the second derivative of -22172310*i**4 - 21173886*i wrt i.
-266067720*i**2
What is the third derivative of 21654505*i**5 + 2*i**4 + 121253124*i**2 wrt i?
1299270300*i**2 + 48*i
What is the third derivative of -v**5 + 1265393*v**4 + 7953*v**2 + 574 wrt v?
-60*v**2 + 30369432*v
What is the derivative of -q*s - 189182*q*y - 2*s**3*y - 81492*s**2*y + 153*y wrt s?
-q - 6*s**2*y - 162984*s*y
What is the first derivative of a**2*i - 119*a**2 + 1007513175*a*i*v**3 - 55*a*v**3 - 2*a*v**2 + 128*a*v - 4*v**3 - 4 wrt i?
a**2 + 1007513175*a*v**3
Find the third derivative of -36638645*n**6 - 199965*n**2 + n - 1.
-4396637400*n**3
What is the first derivative of -9900540*b*f + 9*b - 4299250 wrt f?
-9900540*b
What is the third derivative of -l**3*s**3 - 315*l**3*s - 592*l**3 - 2*l**2*s - 971*l**2 + 85*l*s**3 wrt l?
-6*s**3 - 1890*s - 3552
Find the third derivative of -83*c*d**5 + 1121741*c*d**4 + 55*c*d - 3*c + 3*d**2 - 52*d - 8 wrt d.
-4980*c*d**2 + 26921784*c*d
Differentiate 3*w*x**2 - 356*w*x - 5146*w - 342746*x**2 + 158 wrt w.
3*x**2 - 356*x - 5146
What is the third derivative of 922*d**3*f*x**4 + d**3*f*x**2 - 11*d**2*f*x - 3*d**2*x + 203*d**2 + 76749*f*x**3 - 4536*x wrt x?
22128*d**3*f*x + 460494*f
Find the second derivative of 3013*j*s**2 + 16*j*s + j - 797*s**2 + 2*s + 30785 wrt s.
6026*j - 1594
Differentiate -2*q**2*r + 17268029*q**2*z + 3*q*z**3 - 3*r*z**3 - 2*r*z**2 + r - 5164*z**2 - 589*z with respect to q.
-4*q*r + 34536058*q*z + 3*z**3
Find the third derivative of 2*k**3*q**2 - 3941711*k**3*q + 2*k**2*q**2 + 26*k**2 + 9*k*q**2 - k*q + 21*q wrt k.
12*q**2 - 23650266*q
What is the derivative of -38*i*m*o - i*m - 7*i + 49634*m*o - m - 155566*o - 3 wrt m?
-38*i*o - i + 49634*o - 1
What is the third derivative of -336369703*a*s**3 + 95912*a*s**2 - 4*a*s - 6*a - 2*s**2 wrt s?
-2018218218*a
Differentiate -4*m*n*x + m*n - 2*m*x - 15*m - 202*n*x + 125*n - 2*x + 2296 with respect to n.
-4*m*x + m - 202*x + 125
What is the second derivative of 16089816*m**5 - 1951*m + 247?
321796320*m**3
What is the third derivative of 39*l**3*o*p - 1816*l**3*o - 3*l**3*p + 13*l**3 + 173*l**2*o + l**2*p + 198*l*o*p - l*p + 26*o*p + 2 wrt l?
234*o*p - 10896*o - 18*p + 78
Find the second derivative of 13528*w**4 - 6796*w**3 - 110475510*w.
162336*w**2 - 40776*w
Differentiate -248428291*y - 778139366 with respect to y.
-248428291
Find the first derivative of -19577184*s + 17132404 wrt s.
-19577184
Differentiate -19733*n**4 - 87*n**2 - 2932660.
-78932*n**3 - 174*n
Find the second derivative of 14265728*l**3*z**2 - 113*l**3 - 8*l**2*z**2 - 5*l*z + 147*l + 2*z**2 + 8*z wrt z.
28531456*l**3 - 16*l**2 + 4
Find the first derivative of 74061455*h*j*s**3 - 9*h*j - 5*j*s**3 + j*s**2 - 13*s**3 - 82*s**2 - 208*s - 2 wrt h.
74061455*j*s**3 - 9*j
What is the second derivative of -25499*j**3*k*v**2 + 53*j**3*k*v - 10*j**3*k + 112*j**3 + 44*j**2*k*v**2 + 476*j**2*k*v wrt v?
-50998*j**3*k + 88*j**2*k
What is the second derivative of -21794321*u**2 + 59643*u + 93?
-43588642
Differentiate 68389085*y - 71570969 wrt y.
|
{
"pile_set_name": "DM Mathematics"
}
|
**3.
-133*s**3
Collect the terms in -8613*i**2 + 110*i + 8625*i**2 - 55*i - 55*i.
12*i**2
Collect the terms in 46 + 154 + 153*d + 160*d - 311*d + 26.
2*d + 226
Collect the terms in 8 - 5 - s**3 + 78*s**3.
77*s**3 + 3
Collect the terms in 3*u**2 + 5*u**2 - 12746030*u**3 + 12746029*u**3 - 8*u**2.
-u**3
Collect the terms in 1826*n - 4*n**2 - 915*n - 3*n**2 - 916*n.
-7*n**2 - 5*n
Collect the terms in 2092*r + 5571*r + 14202*r.
21865*r
Collect the terms in 248855 - 248855 + 183*f**2 - 27*f**2 - 826*f**2.
-670*f**2
Collect the terms in -15*w**2 - w**2 - 25*w**2.
-41*w**2
Collect the terms in 154*f - 478*f + 160*f + 164*f - 17*f**3.
-17*f**3
Collect the terms in -26147 + 51*v**3 + 26147.
51*v**3
Collect the terms in -3*p**2 - p**2 + 131*p**3 + 10*p**2 - 7*p**2.
131*p**3 - p**2
Collect the terms in -1359510*m + 7*m**3 + 1359510*m.
7*m**3
Collect the terms in -1016*z**2 + 4 + 496*z**2 + 528*z**2 - 4.
8*z**2
Collect the terms in 10*k + 5*k**2 + 9*k + 25*k.
5*k**2 + 44*k
Collect the terms in -9*x**3 + 177*x**2 - 177*x**2 + 9*x**3 + 2*x**3.
2*x**3
Collect the terms in 3*v**2 + 389917435*v - 389917435*v.
3*v**2
Collect the terms in 12*w - 79 - 94 + 23*w + 2*w**3 - 35*w.
2*w**3 - 173
Collect the terms in 5*f - 8*f - 8*f**2 - 5*f - f + 6*f**2.
-2*f**2 - 9*f
Collect the terms in 19 - 2*v**2 - 3 + 3.
-2*v**2 + 19
Collect the terms in 2207 - 5608 - 6153 - 7*w**2.
-7*w**2 - 9554
Collect the terms in -194 + 9*f + 21 + 17*f.
26*f - 173
Collect the terms in -53*a**3 + 284*a**3 - 141*a**3 - 88*a**3.
2*a**3
Collect the terms in -786*a**2 + 315*a**2 + 334*a**2 + 357*a**2.
220*a**2
Collect the terms in 1128593*u + u**2 + 2*u**2 - 1128593*u.
3*u**2
Collect the terms in -169*o**2 + o - 6 - 3*o + 472*o**2.
303*o**2 - 2*o - 6
Collect the terms in 266*s**2 + 232*s**2 + 1137*s**2.
1635*s**2
Collect the terms in -556 - 560 + 1494 - 378 + 2*w**2.
2*w**2
Collect the terms in 24*g - 44*g**2 - 2*g + 55*g - 77*g.
-44*g**2
Collect the terms in 75*i**3 - 15*i**3 + 8*i**3.
68*i**3
Collect the terms in -419*b + 800*b - 390*b.
-9*b
Collect the terms in -52748*t + 158238*t - 52744*t - 52744*t.
2*t
Collect the terms in 35*s + 35*s - 99*s - 87*s - 33*s.
-149*s
Collect the terms in 8*x**3 + 9*x**2 - 9*x**2 + 2*x + 25*x**3 - 5*x.
33*x**3 - 3*x
Collect the terms in 9846*d - 7*d**2 - 2*d**2 - 9846*d.
-9*d**2
Collect the terms in -2*g**3 - 7*g**3 - 55*g**2 + 13 + 11*g**3.
2*g**3 - 55*g**2 + 13
Collect the terms in -55*a + 4 + 18 - 58 - 44.
-55*a - 80
Collect the terms in 2*z**3 + 7180*z**2 - 3178*z**2 - 4002*z**2.
2*z**3
Collect the terms in 411 - 198 - 215 - 21*d**3 + 0*d + 0*d.
-21*d**3 - 2
Collect the terms in -12*s - 297*s + 11*s**2 - 10*s.
11*s**2 - 319*s
Collect the terms in 589*q**2 + 0*q**3 + q**3 + q**3.
2*q**3 + 589*q**2
Collect the terms in -9*h**3 + 33*h**3 + 12*h**3 - 21*h**3.
15*h**3
Collect the terms in -287*v**2 - 127*v**2 - 13*v - 100*v**2 + 14*v.
-514*v**2 + v
Collect the terms in -4*l**3 + 329*l - 618*l + 289*l - 3*l**3.
-7*l**3
Collect the terms in -7 + 31 - 24 + 7701*o.
7701*o
Collect the terms in -4*f - 79*f**2 + 82*f**2 + 2*f + 2*f.
3*f**2
Collect the terms in 73*s**3 - 80*s**3 - 45 + 45.
-7*s**3
Collect the terms in 3*z**2 + 4*z**2 - 4*z**2 + 12*z**2 - 5*z**2.
10*z**2
Collect the terms in 12*b - 12*b - 2*b**2 - 332 + 630 - 298.
-2*b**2
Collect the terms in 3*l**2 - 11204 + 21785 - 10581.
3*l**2
Collect the terms in 3876 + 10*k - 3876 - 55*k.
-45*k
Collect the terms in -26*m**3 + 25*m**3 - 5013 + 0*m**2 + 5013 + 0*m**2.
-m**3
Collect the terms in 38*g**3 + 26*g**3 + 114*g**3.
178*g**3
Collect the terms in 602*w + 461*w + 327*w + 109*w.
1499*w
Collect the terms in 16*q + 4*q - 35*q - 5*q + 14*q.
-6*q
Collect the terms in 1939*i**3 + 379*i**3 + 889*i**3.
3207*i**3
Collect the terms in 3*u**3 - 98*u**2 - 6*u**3 - 126*u**2 + u**3.
-2*u**3 - 224*u**2
Collect the terms in -37*p + 3*p + 9*p + 6*p + 2*p + 12*p.
-5*p
Collect the terms in -1812*y**3 + 3639*y**3 - 1816*y**3.
11*y**3
Collect the terms in 4881*o**2 - 1186*o**2 - 1225*o**2 - 1231*o**2 - 1238*o**2.
o**2
Collect the terms in -80*r**2 - 15*r**2 + 66*r**2.
-29*r**2
Collect the terms in -33 - 41 - 36 + 181 - 32 - 41 - 7*g.
-7*g - 2
Collect the terms in -64*i**2 + 64*i**2 - 110*i**3 + 109*i**3 - 7*i.
-i**3 - 7*i
Collect the terms in 21*q**2 - 40*q**2 + 20*q**2 - 2835.
q**2 - 2835
Collect the terms in 35 + 36 + 8*y + 36 - 148 + 41.
8*y
Collect the terms in -46*w + 12*w + 11*w - 7 + 16*w.
-7*w - 7
Collect the terms in -176 + 176 - 18*a**3 + 4*a**3 + 37*a**3.
23*a**3
Collect the terms in 48*m**2 - 65*m**2 + 8*m**2 + 4*m**2.
-5*m**2
Collect the terms in -1052*s**3 - s**2 + s**2.
-1052*s**3
Collect the terms in -1631921*m + 1 - 1 - 6*m**2 + 1631921*m.
-6*m**2
Collect the terms in -64*n**2 - 21329*n + 21329*n.
-64*n**2
Collect the terms in 53*h - 56*h + 190 - 186.
-3*h + 4
Collect the terms in 3*k - 2 + 22*k + 28*k - 56*k + 2.
-3*k
Collect the terms in 23*y - 7*y**3 - 5*y - 6*y - 8*y - y.
-7*y**3 + 3*y
Collect the terms in -7203*f**3 + 3606*f**3 + 3589*f**3.
-8*f**3
Collect the terms in 2*h**2 + 4*h - h**2 + 76*h + 0*h**2 + 24*h.
h**2 + 104*h
Collect the terms in o - 1107*o**3 - o + 1564*o**3 - 975*o**3.
-518*o**3
Collect the terms in -489825 + 14*r**2 + 489825 - 31*r**2 + 16*r**2.
-r**2
Collect the terms in 377*g**2 - 1115*g**2 - 1265*g**2 - 437*g**2 + 215*g**2.
-2225*g**2
Collect the terms in -3100*h**2 - h + 2*h - 5833*h**2.
-8933*h**2 + h
Collect the terms in 161492*q + 1 - 161495*q - 1.
-3*q
Collect the terms in -4*h**3 + 34*h - 36*h + 478*h**2 + 4*h**3 - 3*h**3.
-3*h**3 + 478*h**2 - 2*h
Collect the terms in 23567022 - 23567022 + 5*h**2.
5*h**2
Collect the terms in 215 + 19*m + 201 - m - 402.
18*m + 14
Collect the terms in 23*t**3 - 6*t**3 + t**3 - 4*t**3 - 11*t**3.
3*t**3
Collect the terms in 3*i - 6*i + i - 27*i**2 - 17*i**2 + 36*i**2.
-8*i**2 - 2*i
Collect the terms in 6 + 51*l**3 - 4 - 4 + 74*l**3.
125*l**3 - 2
Collect the terms in -5*c**2 + 0*c**2 + 9*c**2 - 3*c**2 - 17*c.
c**2 - 17*c
Collect the terms in -l - 3 + 0*l + 2 + 0*l.
-l - 1
Collect the terms in 16 + 18 - 87 + 4*w**2 + 38 + 15.
4*w**2
Collect the terms in -469*z**3 - 475*z**3 - 16 + 946*z**3.
2*z**3 - 16
Collect the terms in -184410 - u**2 - u**2 + 368789 - 184397.
-2*u**2 - 18
Collect the terms in -3*u + 3*u - 2*u + 57*u**3 + 267*u**3 + 32*u**3.
356*u**3 - 2*u
Collect the terms in 7*h + 16 - 7*h + 19*h.
19*h + 16
Collect the terms in -104*h**2 - 121*h**2 - 16*h + 16*h.
-225*h**2
Collect the terms in -2951*g**2 + 754*g**2 + 750*g**2 + 779*g**2 + 742*g**2.
74*g**2
Collect the terms in -1 + 180*q**2 + 120*q**2 - 108*q**2.
192*q**2 - 1
Collect the terms in -5 - 2 + 5 - 5*i - 71*i**2 - i.
-71*i**2 - 6*i - 2
Collect the terms in -23*g**3 + 32*g**3 + g**3 + 7*g**3.
17*g**3
Collect the terms in 7*r - 10*r**2 - 3*r**2 + 2*r**2.
-11*r**2 + 7*r
Collect the terms in 6179*m + 6171*m - 20*m**3 - 12350*m.
-20*m**3
Collect the terms in -392203*s**2 + 9*s - 9*s.
-392203*s**2
Collect the terms in -4*p + 5*p + 198*p**2 + 148*p**3 + 153*p**3 - 198*p**2.
301*p**3 + p
Collect the terms in -636*i**3 - 3*i - i - 36*i**3 - 225*i**3.
-897*i**3 - 4*i
Collect the terms in 70*j + 320*j**2 + 7*j**3 - 5*j**3 - 320*j**2 + j**3.
3*j**3 + 70*j
Collect the terms in -11*z - 9*z + 27*z + 34*z.
41*z
Collect the terms in 5*i - 18 + 83 - 26 - 24 - 20.
5*i - 5
Collect the terms in 3*r - 4*r + 33*r**2 + 22*r**2 + r + 10.
55*r**2 + 10
Collect the terms in 0 - 2013*b + 0 + 1981*b.
-32*b
Collect the terms in -536*q - 223*q + 207*q - 327*q.
-879*q
Collect the terms in -1641*m**3 + 944*m**3 + 705*m**3.
8*m**3
Collect the terms in -18*p - 16*p + 34*p + 54*p**2 - 435*p**2.
-381*p**2
Collect the terms in -18*y**3 + 4*y**3 + 2*y**3 + y**3 + 10*y**3 + 0*y**3.
-y**3
Collect the terms in -86*f**2 + 16478*f**3 - 32965*f**3 + 86*f**2 + 16491*f**3.
4*f**3
Collect the terms in 865 - 433 - 432 - a - 4*a.
-5*a
Collect the terms in -505186*w + 252595*w - 31*w**2 + 252591*w.
-31*w**2
Collect the terms in 4*f**3 - 12 + 25 - 521*f - 13.
4*f**3 - 521*f
Collect the terms in -17824529 - 15*d**2 + 17824529.
-15*d**2
Collect the terms in -106*u + 108*u - 11*u**2 + 8*u**2.
-3*u**2 + 2*u
Collect the terms in -1477*w**2 - 1780*w**2 + 3255*w**2.
-2*w**2
Collect the terms in 1890*n**2 + 1852*n**2 - 764*n**2.
2978*n**2
Collect
|
{
"pile_set_name": "DM Mathematics"
}
|
, 46/7, -8/5?
-8/5
Which is the third biggest value? (a) 378 (b) -3 (c) 73 (d) -4 (e) -6.9 (f) 4 (g) 3/2
f
What is the third biggest value in 3.4, -7/335, 0, 5?
0
What is the second smallest value in -0.1, -1, 5, -0.3, -46654, -0.5?
-1
What is the third smallest value in 0, -2, 1/22, 2/13, -611?
0
What is the second biggest value in -2/11, 565, -10, -5, 0.1, 0, -14?
0.1
Which is the seventh biggest value? (a) -2/15 (b) -8 (c) 1/4 (d) -6 (e) 0.3 (f) 2/11 (g) -92
g
What is the sixth smallest value in 3, -21973, -2, 11, -0.5, -1/3?
11
Which is the third biggest value? (a) 6 (b) 1212 (c) -5 (d) 1164
a
Which is the fourth smallest value? (a) 4/5 (b) -0.2 (c) 0.3 (d) -526938 (e) -1/3
c
What is the smallest value in -1/716, 5/4, -13, 0, -33/4?
-13
What is the smallest value in 2/3, -0.12, 42/19, 1, -4.09, 0.3, 1/8?
-4.09
Which is the fourth biggest value? (a) 7/3 (b) 0.5 (c) 0.1 (d) -2 (e) 2.2 (f) 2/3
b
What is the third biggest value in 4, -3074, -2, -1/3, -23/8?
-2
Which is the fourth biggest value? (a) 42/109 (b) 5 (c) -6.8 (d) 3/7
c
Which is the sixth smallest value? (a) 15 (b) 3.63 (c) 5/3 (d) 2/5 (e) 14 (f) 4 (g) 6
e
Which is the sixth smallest value? (a) 1/3 (b) -1/24 (c) 2.4 (d) 3/5 (e) -4 (f) -2
c
Which is the fourth smallest value? (a) 19 (b) -61 (c) 0.16 (d) -2/15 (e) 2/7 (f) 4/3 (g) -2
c
What is the third biggest value in 1/4, 2536498, 0.1?
0.1
Which is the second biggest value? (a) 0.15 (b) 0.4 (c) 0 (d) -0.4 (e) 4 (f) 0.6 (g) 0.035
f
What is the third smallest value in -5, -9, 6/5, 0.02517, 3/4, -2/11?
-2/11
Which is the biggest value? (a) 73 (b) 114 (c) 2/5 (d) 2/9 (e) -738
b
Which is the smallest value? (a) -354 (b) -2 (c) 4 (d) 5 (e) -1/30 (f) -0.1
a
What is the third biggest value in -2/42649, 14/11, 14?
-2/42649
What is the smallest value in -2/9, 0, 1/6, 0.1, -7768, 0.4, 1/4?
-7768
What is the third biggest value in -21, -271770, 3/23?
-271770
Which is the third smallest value? (a) 0.1 (b) 84 (c) -1 (d) -8 (e) -2/7 (f) -2 (g) 13
c
What is the smallest value in 6, -1/4, 8, -1, 83, 5?
-1
What is the fifth smallest value in 5, 1, 6853, -9, 1/8, 2?
5
What is the third smallest value in 1, 102, -112?
102
What is the seventh biggest value in -2, -5, 4, 82, -113, 2, 1?
-113
Which is the sixth biggest value? (a) -29 (b) -5135 (c) 3/5 (d) -23 (e) 2/5 (f) 4 (g) -1/3
a
What is the biggest value in -1, 2/27, 0.611, 3, 2/3?
3
What is the third smallest value in 1/3, -3, -275545?
1/3
Which is the fourth smallest value? (a) -3/8 (b) -2.1 (c) 61 (d) 1.9
c
Which is the fourth smallest value? (a) -97644 (b) -3 (c) 1/3 (d) 1 (e) -21 (f) -0.2
f
What is the third biggest value in -9, 37, 6/17095?
-9
Which is the fifth biggest value? (a) -2/11 (b) -2 (c) -504 (d) 1 (e) 159
c
What is the third smallest value in -249.4, 8, 619?
619
What is the fourth smallest value in -16, -5, 135/74, -26?
135/74
Which is the fifth smallest value? (a) -1/3 (b) -0.5 (c) -1/5 (d) -6 (e) 1 (f) 3.7 (g) 0
g
What is the second biggest value in -184, -4, 26, -5, -5454, 0?
0
Which is the third smallest value? (a) 9/5 (b) 1/3 (c) 2 (d) -20/11 (e) -2/19 (f) -3
e
Which is the second biggest value? (a) 3 (b) 2 (c) 0.018 (d) -4 (e) 1/6 (f) 0.21
b
Which is the smallest value? (a) 529599 (b) -9 (c) 5
b
What is the second biggest value in 12, 67838, -0.2, -0.5, 1?
12
What is the fourth biggest value in -0.456, -6, 4/3, 1, -3, -1/3?
-0.456
What is the biggest value in -0.4, 0.0412, 3/1445?
0.0412
Which is the biggest value? (a) 0.0126 (b) 1 (c) -4 (d) 14049
d
Which is the second biggest value? (a) 26 (b) -204 (c) -18
c
What is the second smallest value in -1035/4, 1/100, -1/4, -5?
-5
Which is the second biggest value? (a) 5 (b) 6720 (c) -410.1
a
What is the second biggest value in -5, 3, 4, 136, 0, -0.056?
4
Which is the biggest value? (a) -19/4 (b) 8 (c) -4/531 (d) -0.3
b
What is the third smallest value in -0.3, 0, -8, -14, 183/8?
-0.3
What is the second biggest value in -719650, -11, -1?
-11
What is the fourth biggest value in -7/3, 4, 0.05, 2/11, -0.2, -81/5, 6/11?
0.05
Which is the second biggest value? (a) -51.8 (b) -2 (c) -2486 (d) 2/9 (e) -1/2
e
Which is the fifth biggest value? (a) -105 (b) -0.16 (c) -0.916 (d) 0.1 (e) 5
a
Which is the fourth smallest value? (a) 37 (b) 2 (c) 278 (d) 1 (e) 0.1 (f) 0.5 (g) -0.3
d
Which is the second biggest value? (a) -0.09 (b) 0.4 (c) 5 (d) -3 (e) -2/89 (f) 4/7
f
Which is the biggest value? (a) -0.0724 (b) -7 (c) -16 (d) 1 (e) -27 (f) 0.05
d
What is the fourth biggest value in 5/7, -1/3, 17.49, -5, 2/7?
-1/3
Which is the smallest value? (a) -6 (b) -0.4 (c) -0.27 (d) -2/3 (e) 2 (f) 1 (g) 0.02
a
What is the second smallest value in -0.2, -481817, -1?
-1
What is the fifth smallest value in -3, -5, -1/5, 4, 3.259?
4
What is the fourth biggest value in -3, 4, 0.3, -1/5, -3/67, -0.3, 5?
-3/67
Which is the fourth biggest value? (a) -6 (b) -2/15 (c) 0.0635 (d) 166
a
What is the second biggest value in -3, 1884, 1/6, 6/107, -0.1?
1/6
Which is the fourth biggest value? (a) 5/7 (b) -10/9 (c) -0.1 (d) -7 (e) -2 (f) 0.5 (g) -300/7
b
What is the sixth smallest value in 3, 22, 0.5, 0, 1/6, 0.3, -16/2907?
3
Which is the second biggest value? (a) -17/4 (b) 3/2 (c) 2/11 (d) -639/7
c
What is the seventh smallest value in 2, 2/13, 4, -2, 48, 0.4, -33?
48
What is the fourth smallest value in -1/5, 4, 4/5, 24, 2/9, 15, 32?
4
Which is the second biggest value? (a) -4 (b) -215 (c) -23466
b
What is the fourth biggest value in 0.45, -8, 6/11, 779?
-8
What is the fourth smallest value in 0, 4, -5, 25150645?
25150645
Which is the fourth biggest value? (a) -2.6 (b) 0 (c) -150 (d) 0.22 (e) -0.5 (f) -3 (g) 1/7
e
Which is the biggest value? (a) -4 (b) -10 (c) 22174
c
What is the third biggest value in -0.0522, -1/12, -2.2, 0.052?
-1/12
What is the fifth biggest value in 1, -18, -0.2, -4/79, 0.2, 4?
-0.2
What is the seventh smallest value in -2/3, -0.3, 2, -0.2, -2/7, 18, -0.6?
18
What is the fifth smallest value in 7830, 5, 3, -0.5, -1/8?
7830
What is the smallest value in 1/7, -2, 0, 5, 17/7, -0.11, -0.067?
-2
Which is the second biggest value? (a) 300 (b) -5/2 (c) 7/5 (d) -2.23
c
What is the third smallest value in 2/41, -3, -128, -125/3?
-3
Which is the smallest value? (a) -7/239 (b) 19530 (c) 1/8
a
Which is the smallest value? (a) 0.063 (b) -1/2 (c) 1 (d) -1.6 (e) -3159
e
What is the third smallest value in 20, -0.3, 1.4113595?
20
What is the biggest value in 3, -3, 2, -800, 6/7, 54, -2?
54
What is the fifth biggest value in -2/3, -5/2, -2.4, 4961, 2/15, -0.5?
-2.4
Which is the smallest value? (a) 12.1174 (b) -1.5 (c) 1/5 (d) -8
d
Which is the biggest value? (a) 15/14 (b) -2 (c) 4 (d) -5 (e) -473
c
What is the sixth smallest value in 144, 7/3, -5/4, 3, -0.4, 0.4, 6?
6
Which is the fifth biggest value? (a) 3 (b) 1 (c) -0.4 (d) 3146262 (e) -2/17
c
Which is the sixth biggest value? (a) -7 (b) -19 (c) -9/5 (d) -0.2 (e) 3 (f) -5/2 (g) 0
a
What is the fifth smallest value in 5, 18, -4247, -5, 0?
18
What is the smallest value in -63871, 2/11, 0.5, 0.219, -3?
-63871
What is the smallest value in -2, 96236, -10, -5?
-10
Which is the sixth biggest value? (a) -1/2 (b) 1/8 (c) 4/3 (d) 0.4 (e) 4/5 (f) 2/3 (g) 51.7
b
Which is the smallest value? (a) -8 (b) 36.58 (c) -1 (d) -5 (e) -2501
e
What is the fifth smallest value in 22, -0.358, 4, 22/5, -3?
22
Which is the biggest value? (a) 2.2579 (b) 3/40 (c) 28
c
Which is the third smallest value? (a) -1 (b) -0.08 (c) -2/17 (d) 0.3 (e) 17 (f) 0.07
b
What is the second biggest value in 17, -15, 0.4, 64, -0.31, 4?
17
Which is the fourth smallest value? (a) 2/7 (b) 4 (c) -2/7 (d) -0.1123 (e) -5 (f) 2.2
a
Which is the second smallest value? (a) 2797 (b) 3 (c) 937
c
Which is the third biggest value? (a) -0.4 (b) 1/3 (c) -3/8 (d) -2/13 (e) -1/6 (f) 2/65 (g) -0.6
d
Which is the biggest value? (a) 8 (b) -4/5 (c) -2/11 (d) 0.3 (e) 25/14 (f) -3 (g) -5
a
What is the third smallest value in -31.5, 4, -153, 2/9?
2/9
Which is the third smallest value? (a) -16/45073 (b) 2/13 (c)
|
{
"pile_set_name": "DM Mathematics"
}
|
te the greatest common divisor of 3731 and 91.
91
What is the greatest common factor of 481 and 26?
13
What is the highest common factor of 258 and 12?
6
Calculate the highest common divisor of 42 and 2758.
14
What is the highest common factor of 18 and 423?
9
What is the highest common divisor of 77 and 133?
7
Calculate the greatest common factor of 6715 and 10.
5
Calculate the greatest common factor of 195 and 39.
39
Calculate the highest common divisor of 130 and 1070.
10
Calculate the greatest common divisor of 39 and 767.
13
Calculate the greatest common factor of 28 and 52.
4
Calculate the greatest common divisor of 195 and 5.
5
Calculate the greatest common factor of 91 and 1589.
7
Calculate the greatest common factor of 850 and 34.
34
Calculate the highest common divisor of 578 and 2.
2
Calculate the highest common factor of 344 and 258.
86
Calculate the highest common divisor of 85 and 5.
5
What is the highest common divisor of 3150 and 950?
50
Calculate the highest common divisor of 90 and 144.
18
What is the greatest common divisor of 3489 and 3?
3
What is the highest common divisor of 84 and 72?
12
What is the highest common divisor of 17020 and 20?
20
What is the highest common factor of 60 and 200?
20
What is the highest common divisor of 710 and 1562?
142
Calculate the greatest common factor of 7016 and 8.
8
What is the greatest common factor of 9 and 3?
3
Calculate the greatest common factor of 1 and 75.
1
What is the highest common divisor of 7 and 119?
7
Calculate the highest common divisor of 60 and 720.
60
What is the highest common factor of 20 and 1110?
10
What is the highest common factor of 114 and 18?
6
What is the greatest common divisor of 824 and 72?
8
Calculate the highest common divisor of 704 and 1024.
64
Calculate the highest common factor of 52 and 676.
52
What is the greatest common divisor of 14 and 112?
14
What is the greatest common divisor of 11241 and 18?
9
Calculate the greatest common factor of 3029 and 13.
13
Calculate the greatest common factor of 20822 and 116.
58
Calculate the greatest common divisor of 902 and 22.
22
What is the greatest common factor of 884 and 364?
52
Calculate the greatest common divisor of 36 and 666.
18
What is the greatest common factor of 64 and 192?
64
What is the highest common factor of 2546 and 323?
19
What is the highest common factor of 136 and 1054?
34
What is the greatest common divisor of 18619 and 215?
43
What is the highest common divisor of 217 and 124?
31
Calculate the highest common factor of 153 and 9.
9
Calculate the highest common divisor of 113 and 3616.
113
Calculate the highest common factor of 91 and 182.
91
Calculate the greatest common divisor of 70 and 448.
14
Calculate the highest common divisor of 130 and 26.
26
What is the highest common divisor of 19 and 361?
19
What is the greatest common divisor of 493 and 29?
29
What is the highest common divisor of 30 and 58500?
30
What is the greatest common factor of 10 and 68880?
10
Calculate the highest common factor of 174 and 17226.
174
Calculate the greatest common factor of 83 and 14027.
83
Calculate the highest common factor of 99 and 165.
33
Calculate the highest common factor of 58 and 4379.
29
Calculate the highest common factor of 405 and 3.
3
Calculate the highest common factor of 176 and 1168.
16
What is the greatest common divisor of 3936 and 574?
82
Calculate the highest common factor of 5053 and 163.
163
What is the greatest common factor of 44 and 16?
4
What is the greatest common divisor of 22 and 10?
2
What is the greatest common divisor of 72 and 9?
9
Calculate the greatest common divisor of 47 and 1504.
47
Calculate the greatest common factor of 327 and 8611.
109
What is the highest common divisor of 1246 and 28?
14
What is the greatest common divisor of 310 and 280?
10
Calculate the highest common divisor of 10 and 1150.
10
What is the greatest common factor of 59 and 531?
59
Calculate the highest common factor of 118 and 1062.
118
What is the highest common divisor of 107163 and 147?
147
What is the greatest common divisor of 270 and 660?
30
What is the greatest common divisor of 345 and 69?
69
Calculate the highest common divisor of 340 and 25.
5
What is the highest common factor of 486 and 72?
18
Calculate the greatest common divisor of 9 and 45.
9
What is the greatest common factor of 21069 and 9?
9
Calculate the greatest common divisor of 107 and 1391.
107
Calculate the greatest common factor of 396 and 48.
12
What is the greatest common divisor of 104 and 130?
26
What is the greatest common factor of 456 and 54?
6
Calculate the greatest common divisor of 134 and 603.
67
Calculate the greatest common divisor of 345 and 184.
23
Calculate the greatest common factor of 12 and 80.
4
What is the greatest common factor of 162 and 2250?
18
Calculate the highest common divisor of 38 and 2546.
38
Calculate the highest common divisor of 440 and 55.
55
What is the highest common factor of 14214 and 138?
138
What is the greatest common divisor of 66 and 627?
33
Calculate the greatest common factor of 770 and 4928.
154
What is the highest common divisor of 427 and 7?
7
Calculate the highest common divisor of 8230 and 5.
5
What is the highest common divisor of 1148 and 8?
4
Calculate the highest common factor of 12 and 3.
3
What is the greatest common factor of 30730 and 70?
70
Calculate the highest common factor of 14 and 378.
14
What is the highest common factor of 506 and 44?
22
What is the highest common factor of 1261 and 26?
13
Calculate the greatest common divisor of 54 and 15930.
54
What is the highest common factor of 3405 and 908?
227
Calculate the highest common divisor of 1308 and 180.
12
Calculate the highest common factor of 2290 and 330.
10
What is the highest common factor of 183 and 671?
61
What is the highest common factor of 77 and 161?
7
Calculate the greatest common divisor of 15326 and 194.
194
What is the highest common factor of 93 and 775?
31
What is the greatest common factor of 517 and 77?
11
Calculate the highest common divisor of 222 and 25308.
222
What is the greatest common divisor of 76 and 95?
19
What is the greatest common divisor of 94 and 235?
47
Calculate the greatest common factor of 7279 and 29.
29
What is the highest common divisor of 57 and 3819?
57
What is the highest common divisor of 96 and 320?
32
Calculate the highest common factor of 42 and 27706.
14
What is the highest common divisor of 31 and 1271?
31
Calculate the highest common factor of 120 and 15.
15
Calculate the greatest common factor of 744 and 72.
24
What is the highest common factor of 5184 and 192?
192
Calculate the greatest common divisor of 3220 and 196.
28
Calculate the greatest common factor of 119 and 63.
7
What is the highest common factor of 18 and 144?
18
Calculate the greatest common divisor of 31 and 217.
31
Calculate the highest common factor of 90 and 405.
45
Calculate the highest common divisor of 234 and 9594.
234
What is the highest common divisor of 15 and 205?
5
Calculate the highest common divisor of 200 and 824.
8
What is the greatest common divisor of 9 and 6?
3
Calculate the highest common factor of 378 and 594.
54
What is the highest common factor of 150 and 3225?
75
What is the highest common factor of 380 and 360?
20
What is the highest common factor of 526 and 1315?
263
Calculate the highest common divisor of 380 and 20.
20
What is the highest common divisor of 20 and 220?
20
What is the highest common factor of 24486 and 693?
231
What is the greatest common divisor of 6 and 1206?
6
Calculate the highest common factor of 30 and 4590.
30
Calculate the greatest common divisor of 34 and 8636.
34
What is the highest common factor of 16 and 20?
4
What is the highest common factor of 404 and 16?
4
What is the highest common divisor of 392 and 216?
8
What is the highest common factor of 117 and 4875?
39
Calculate the greatest common factor of 192 and 448.
64
What is the greatest common divisor of 1024 and 72?
8
What is the highest common factor of 116 and 348?
116
Calculate the highest common divisor of 10 and 655.
5
What is the highest common divisor of 405 and 60?
15
What is the highest common factor of 8878 and 3281?
193
Calculate the highest common factor of 77
|
{
"pile_set_name": "DM Mathematics"
}
|
t i be (-1)/(-4)*o/(-305). Which is bigger: -2/5 or i?
i
Let z(d) = d**2 + 4*d + 4. Suppose 3*v = -4 - 8. Let q be z(v). Does 2 = q?
False
Suppose -3*l + 4 = l + c, 5*l + 2*c - 8 = 0. Is -6/13 bigger than l?
False
Let k be (-1)/3*(-12)/16. Let q = k - -1/4. Is q != -1/3?
True
Let u = 17 + -14. Let t = 0 - 0. Let a be (t + 0)*(u + -4). Which is smaller: -1 or a?
-1
Let y(g) = g + 1. Let j be y(2). Let m be 2 - -2 - 3 - -1. Which is bigger: m or j?
j
Let y be -4 - 278/70*-1. Is y bigger than 1?
False
Let m = -1 + 1. Let d = -148 - -1775/12. Does d = m?
False
Let z = 12 - 11.4. Which is smaller: 2/11 or z?
2/11
Suppose 5*b + 31 = 4*o, 0*o - 3*o = 3. Let c = b + 7. Is -2/3 smaller than c?
True
Let h(o) = 3*o**2 - 10*o - 9. Let z(a) = a**2 - 5*a - 4. Let k(l) = 2*h(l) - 5*z(l). Let i be k(-2). Which is greater: -2 or i?
-2
Let t be 14/(-10) + (-1 - -2). Let i = 55 - 55. Is t bigger than i?
False
Let x = -96 + 28. Is 0.1 at least as big as x?
True
Let g = -0.14 - -0.09. Which is bigger: 5/2 or g?
5/2
Let a(q) = q**2 + 3*q - 1. Let l be a(-5). Suppose 2 = -u + g, -l - 6 = -3*u - 4*g. Is 0 at most u?
True
Let q(i) = 2*i**2 + 3*i - 1. Let j be q(-3). Let o be 22/(-8) - 2/j. Suppose -1 = -5*f + 6*f. Do o and f have the same value?
False
Let q = -18.8 + 19. Is q greater than or equal to -0.11?
True
Suppose 11*m - 13 = -2*m. Let y be ((-6)/(-32)*-2)/(-1). Does y = m?
False
Suppose 2*f - f = 2*w + 7, w + 21 = 4*f. Let d = 8 - 7. Which is bigger: w or d?
d
Let n = -26 - -339/13. Is n smaller than -5?
False
Let s be (-3)/(9/5)*-3. Suppose 0 = 3*f + 3*m - 15, -21 = -s*f - 2*m - 5. Suppose -c + f = -3*v, 2*c + 0*v - 8 = 2*v. Is c >= 4?
True
Suppose 0 = -2*i + 2. Is i < 2/9?
False
Let l = 5.9 + -4. Let p = -4 - -2. Let i = l + p. Is 0.1 not equal to i?
True
Suppose -5*c + 4 = -4*n, 3*c + c = -3*n - 3. Let y = c - -4. Let q = y - 2. Which is smaller: 0 or q?
0
Let j(a) = -1 - 5 + 9*a - a**2 + a. Let p be j(9). Suppose -5*b - 10 = 2*c + 8, -p*b - 11 = c. Which is bigger: -2/5 or c?
c
Let z = 3 + 0. Let h = -46/3 - -16. Is h at least z?
False
Let u = 107 - 73. Is 35 bigger than u?
True
Let f(q) = -q**2 - 4*q + 4. Let p be ((-9)/(-12))/((-3)/24). Let w be f(p). Do w and -7 have the same value?
False
Let v = 0.3 + -1.3. Let h = -3.019 + 0.019. Let z = h + v. Is z less than -1?
True
Suppose 3*m + m = 28. Let v = 7 - m. Let g(a) = -a**3 + 2*a**2 + 1. Let t be g(2). Which is smaller: v or t?
v
Let i(c) = -2*c + 1. Let f be i(0). Suppose -5 = 3*t - 0*t + 5*o, o + 19 = 3*t. Suppose a + 3 - 4 = -5*k, -t*k + 5 = 5*a. Is a greater than or equal to f?
True
Let b(a) = 3*a**2 + 7*a - 6. Let y(d) = -2*d**2 - 5*d + 4. Let x(k) = 5*b(k) + 7*y(k). Suppose m + 3*m = 8. Let w be x(m). Which is bigger: w or 1/2?
w
Let r(h) = -h - 1. Let i be r(-1). Let n be (i/(-1*2))/(-1). Suppose n = -f - 1. Is 1/4 <= f?
False
Suppose 4*y + 13 = 2*t - 33, -2*y - 2*t = 32. Is -13 greater than or equal to y?
True
Let o = -29/1471 - -57227/291258. Let p = 1/22 + o. Which is greater: p or 0.1?
p
Let v = 83.88 - 84. Which is bigger: 1 or v?
1
Let k(v) = v**2 + 4*v + 2. Let u be k(-3). Let m be (-1)/1*u + -13. Let d be (m/(-8))/(6/16). Is 3 >= d?
False
Let i(s) = -s**3 + 5*s**2 + 5*s + 6. Let v be i(6). Let p = -12 - -11. Is p < v?
True
Let c = 16.1 - 15. Let q = c - 1. Which is bigger: -0.1 or q?
q
Let c(y) = y**3 + y**2 - y + 1. Let v be c(0). Let l(r) = -8*r - 3*r**3 + 4*r**3 - 8*r**2 - 4*r**2 + 5*r**2. Let b be l(8). Are b and v nonequal?
True
Let s = 4 + -4.2. Let h = 151 + -1061/7. Which is greater: h or s?
s
Suppose 29 = 6*u - 1. Suppose 1 + 14 = u*v. Is v smaller than 3?
False
Suppose -4*z - 20 = 5*u, -2*u + 0*z + 3*z - 8 = 0. Let p = 0.4 + -0.3. Is u at least p?
False
Let a(g) = -g - 11. Let o be a(5). Is -17 equal to o?
False
Let v be 14/18 - 6/(-27). Suppose 5 = 3*o - v. Does o = 2?
True
Let z = 128 - 127. Which is greater: z or -7/19?
z
Let s = -13.99 + 14. Is s <= -0.2?
False
Let n be (1 + 2 - 1) + (-2 - -3). Which is greater: n or 1?
n
Suppose 6*s + 53 = -1. Are -9 and s unequal?
False
Let h be (-3)/9 - 16/6. Let r(a) = -a + 2. Let k be r(h). Let j be 40/(-32)*1/k. Which is smaller: 0 or j?
j
Suppose 10 = 2*d, -5*h + d + d - 15 = 0. Let p be (-10)/(-6)*h + 2. Let b(a) = -2*a**2 - 7*a + 3. Let t be b(-4). Is p > t?
True
Let f be 1/(-1)*1 + -1. Suppose 0 = -g - 5, 2*c - 1 = -0*g - g. Suppose 5*b + 1 = -2*q, 5*q + 0*b + c*b + 12 = 0. Which is smaller: f or q?
q
Let z be -2 + ((-119)/(-4))/7. Are 1 and z unequal?
True
Let s = 8 - 11. Let i be 9/6*(-1 + s). Let n be ((-6)/(-4))/(i/(-8)). Which is bigger: n or 3?
3
Let v = -6.67 + 0.67. Which is bigger: 0.1 or v?
0.1
Suppose v = -s - 12, -5*v + 5*s = -3*v + 24. Is -74/7 less than or equal to v?
False
Let m be (1/3)/(5/(-15)). Let d be 0 + 2 + (-11)/7. Is d equal to m?
False
Let r = 7.9 - 12. Let f = r - -4. Which is bigger: f or 0.5?
0.5
Suppose 3*y - 5*i - 27 = 0, -i - 4*i = -4*y + 31. Suppose 3*j + 0 = -2*h + 13, -j + 5*h + 10 = 0. Is j bigger than y?
True
Let z(x) = -x**3 + 4*x**2 - 2*x. Let d(v) = -v**3 + 9*v**2 + v - 6. Let k be d(9). Let j be z(k). Suppose m + 4 = -j*u, 4*m - 5*u = -1 + 19. Is 1/2 >= m?
False
Let h be (6/(-9))/(6/(-27)). Let n(f) = -f**3 + 2*f**2 + 4*f - 2. Let v be n(h). Suppose v - 5 = 4*d. Is d != -1?
False
Let d = -2/27 + 85/54. Suppose 2*p - 11 = -4*n + p, -8 = -n - 2*p. Is d bigger than n?
False
Suppose 10*h + 4 = 6*h. Which is smaller: h or 1?
h
Suppose -h + 33 = 5*l - 0*h, -29 = -3*l + 4*h. Suppose -s + 1 = l. Which is greater: -7 or s?
s
Let t be (-1 + -3)*(-1)/(-2). Which is greater: 6 or t?
6
Suppose 0 = -5*u + 4*u. Is -2/7 greater than or equal to u?
False
Let r(y) = y**3 - 5*y**2 - 6*y - 6. Let v = -11 + 17. Let o be r(v). Let z be (3/16)/(o/24). Is 1 greater than or equal to z?
True
Let f be 2532/(-84) - 2/(-14). Is f < -30?
False
Let j be (-1)/6 - (1 - 10/8). Which is smaller: j or -1?
-1
Let i = 0.5 - 0.4. Let q = 6.1 - i. Which is bigger: q or 0?
q
Let l = -5 + 5.03. Suppose 42 = 5*j - 7*j. Let a = j - -43/2. Is a at most as big as l?
False
Let r be (1/(-1))/((-1)/8). Let l be (0 + -1 + r)/1. Suppose -4*k + l - 19 = 0. Does k = -3?
True
Let r(q) = -q**3 - 5*q**2 + 6*q + 7. Let d be r(-6). Let g = d + -5. Let o = 2 - g. Which is smaller: -3/7 or o?
-3/7
Let r = 2 + -4. Let j = 8 - 5. Suppose c = j*c. Is c <= r?
False
Let t = -2.92 + -0.08. Let m = t + 3. Which is smaller: m or 1/3?
m
Let i = 2 - 3. Suppose -4*f + 2*f = 2*x + 10, -2*x - 25 = 5*f. Suppose x = -4*o - 0 - 4. Are i and o equal?
True
Let u be ((-4)/12)/((-10)/(-4)). Which is greater: u or 1?
1
Let h be -1 + -3 + 4/1. Which is smaller: -2 or h?
-2
Let g be (((-3)/4)/3)/((-1)/4). Which is smaller: g or 3/10?
3/10
Let k(q) = 5*q - 4*q + 0*q**2 + 4*q**2 - 3*q**2 + 3*q**3. Let j be k(-1). Suppose 4*i - 2*i = -2. Does i = j?
False
Let f be (-516)/(-2100) - 2/7. Suppose 5*v - 2*v = 0. Which is greater: f or v?
v
Suppose 2*s - i = -11, -2*s - i - 25 = 2*s. Let y be ((-2)/s)/(8/48). Which is smaller: y or 3?
y
Let a(i) = -4*i + 4. Let d be a(4). Let h be (d/(-42))/((-4)/(-7)). Is 2 less than or equal to h?
False
Let a be 2/9 + 4/(-27). Which is greater: 0 or a?
a
Suppose 0 = 4*v - 0*r - 4*r - 12, -3*v = r - 17. Suppose 2 = v*a + g - 27, 4*a = 3*g + 8. Which is smaller: a or 1?
1
Let m = -4 + 7. Suppose b + 2 - 4 = 0. Is b > m?
False
Let c = -62.7 + 66. Let k = 4 - c. Let o = k - -0.3. Which is greater: -2 or o?
o
Let g be 22/77*26/2*-1. Is g smaller than -4?
False
Let i be -703*(0 - (-2)/(-10)). Let j = 141 - i. Is -0.1 at most as big as j?
True
Suppose -a + 2*b - 24 = -4*a, 5*a - 3*b - 40 = 0. Let i = 118 + -109. Is a != i?
True
Let z = -2 - 6.9. Let f = z - 0.1. Which is smaller: 0.2 or f?
f
Let t = 0.2 + -0.4. Let g = -8.2 + 8. Let c = t - g. Is c at least as big as -1/3?
True
Let r = 240 + -4319/18. Which is greater: -1 or r?
r
Let p(k) = -4*k**3 + 5*k**2 + 3*k - 5. Let g(i) = 3*i**3 - 5*i**2 - 2*i + 4. Let s(z) = 3*g(z) + 2*p(z). Let n be s(5). Are 1 and n equal?
False
Let g(o) = -o**2 + 11*o + 9. Let v be g(12). Let a = -16/3 + 6. Which is greater: v or a?
a
Let z(u) = u**2 - 2*u - 4. Let g be z(4). Suppose 3*h - g*c + 6 = 2*h, 0 = -h + c. Which is bigger: h or 0?
h
Let c = -15 - 0. Is -15 bigger than c?
False
Let b = 17 + -16.7. Which is greate
|
{
"pile_set_name": "DM Mathematics"
}
|
0.
-8000
Let r = -22 - -23.8. Let g = r + -1.8. Let q = -1.8 + g. What is q rounded to 0 decimal places?
-2
Let q = 83.255 - 83.3. Let m = -0.013 + 0.0642. Let g = q + m. What is g rounded to three dps?
0.006
Let b = 9.3883839696 - -816893.6120260304. Let u = b - 816887. Let x = u + -16. What is x rounded to four dps?
0.0004
Let h = 0.016 + -0.896. Let d = h - 0.12. Let a = -1.000006 - d. What is a rounded to 6 decimal places?
-0.000006
Let w(l) = 5*l - 5. Let s be w(2). Suppose -2873 = 4*i + 2*r + 6727, -4*i + s*r = 9600. Round i to the nearest 100.
-2400
Let x = -1600.000003162 - -1600. Round x to seven decimal places.
-0.0000032
Let t = -149.955259 - -151.06525973. Let p = -7.7 - -6.59. Let i = p + t. Round i to 7 decimal places.
0.0000007
Let p = -0.63 + 0.1. Let n = 0.384 + p. What is n rounded to 2 dps?
-0.15
Let t = -355 - -246. Let w = -110.09 - t. What is w rounded to 0 decimal places?
-1
Suppose 36 = -w + 4*w. Suppose 4*u - 967 = 1601. Suppose -w = -p - u. What is p rounded to the nearest 100?
-600
Let n = 8.741 + -3.15. Round n to zero dps.
6
Let p = 45 + -49.5. Let s = p + 1. Round s to the nearest integer.
-4
Let n = 82.0512 + -82. Round n to two dps.
0.05
Let k = 7270372.411 + -7131968.5. Let v = k - 138340. Let z = v - 64. Round z to 2 decimal places.
-0.09
Let n = -1.6336 - -1.626. Round n to three dps.
-0.008
Let k = 142 - 125.8. Let u = k + 28.9. Round u to the nearest ten.
50
Let i = -95 - -83. Let o = i + 11.9999795. What is o rounded to 6 dps?
-0.000021
Suppose -364022 = -4*z + 75978. Suppose -5*s - 5*s = z. What is s rounded to the nearest ten thousand?
-10000
Let n = 2.54 + 41.74. What is n rounded to zero decimal places?
44
Let s = 0.02 + 5.58. Let b = -0.22 + 2.52. Let f = b - s. What is f rounded to the nearest integer?
-3
Let y = -200 - -116. Let z = 84.59 + y. What is z rounded to one decimal place?
0.6
Let n = -496.9368 - -497. What is n rounded to 2 dps?
0.06
Let r = -19 + 13. Let x = -6 - r. Let y = x - 0.0003. What is y rounded to four decimal places?
-0.0003
Suppose -z + 19 = -2*t - t, -26 = -2*z + 2*t. Suppose -5*s - 4*r = -z*s + 11753, 4*s = -2*r + 9392. Let a = s - 919. Round a to the nearest 100.
1400
Let j = -1330.989154 - 0.320846. Let l = 1337 + j. Round l to 1 dp.
5.7
Let w = 178 + -90. Let n = w - 100.5. Round n to the nearest 10.
-10
Let d = -17 + 122. Let q = d - 105.000192. What is q rounded to 5 decimal places?
-0.00019
Let c = 391.4 + -391.400013932. What is c rounded to 6 dps?
-0.000014
Let g = -11.9 + 12. Let l = 0.628347 - 0.52835. Let t = l - g. Round t to 5 decimal places.
0
Let h = -0.009 + -4.391. Let t = -77 - -66.8. Let z = h + t. Round z to zero dps.
-15
Let r = 15223071.94402669918474 + 0.05595530081526. Let y = r + -15223058. Let s = y - 14. Round s to 5 dps.
-0.00002
Let m = -2.4 - -2.284. Let z = m - 65.884. Let i = z - -66.0000134. Round i to six decimal places.
0.000013
Let k be (-4 - -109)*384/14. Let t be k*(-3 - (-137)/4). What is t rounded to the nearest ten thousand?
90000
Let n = -39.9 - -5.9. Let y = n + 33.9999902. Round y to 6 decimal places.
-0.00001
Let f(c) = 57*c - 18. Let r be f(15). Let g = r + -1337. What is g rounded to the nearest one hundred?
-500
Let i = 55.6 + -55.5999663. Round i to five decimal places.
0.00003
Let u = 0.1109 + -3.0749. Round u to two decimal places.
-2.96
Suppose 0 = x + 3*x - 3*b - 4779994, -5*x + 2*b + 5974996 = 0. Round x to the nearest 100000.
1200000
Let q be -2 + 15/((-6)/(-2)). Suppose -3 = -q*p + 3. Suppose o + 156 = -p*o. What is o rounded to the nearest 10?
-50
Let i be (-2 - (-262)/6)/((-8)/43584). Round i to the nearest one hundred thousand.
-200000
Let u = 2.92000362 - 2.92. What is u rounded to seven decimal places?
0.0000036
Let w = 16.701 + -0.811. Let b = -0.11 - w. Let c = 16.000152 + b. Round c to 5 decimal places.
0.00015
Let h = 256903087.99999984 - 256903069. Let g = 18.56 - -0.44. Let b = h - g. Round b to seven dps.
-0.0000002
Let s = -1506 + 2382. Suppose 26*m - 24*m + s = 0. What is m rounded to the nearest one hundred?
-400
Let f be (-8744)/(3 - ((-120)/(-14))/3). Let d = f - -1908. Round d to the nearest ten thousand.
-60000
Let y = 120.5011 - 120.4. Round y to 2 decimal places.
0.1
Let i = -266 + 265.9897. Round i to three decimal places.
-0.01
Suppose -5*a - 3520 = -7*a. What is a rounded to the nearest 1000?
2000
Let t = 482 + -1903. Let i = -472 - t. Let g = 229 - i. Round g to the nearest one hundred.
-700
Let q = 0.6 - 7.8. Let y = 7.2000606 + q. What is y rounded to six dps?
0.000061
Let z = 2.7 - -1.9. Let l = -1.4299 - -6.0261. Let h = l - z. What is h rounded to 3 decimal places?
-0.004
Let a = 17.2 + -17.19999216. Round a to seven dps.
0.0000078
Let g = -114044 + 162044. What is g rounded to the nearest 10000?
50000
Let j = 12788104 + -12788103.87699898. Let i = -0.123 + j. What is i rounded to 7 dps?
0.000001
Let i = -66 + 217. Let d = -150.969 + i. What is d rounded to three decimal places?
0.031
Suppose -7*g + 15 = -12*g. Let a = -9 - g. Let i(p) = -114*p - 14. Let m be i(a). What is m rounded to the nearest one hundred?
700
Let h = -6.26 - 426.74. Let p = h + 434.492. Round p to one decimal place.
1.5
Suppose 22*z = 25*z + 3474. Round z to the nearest 10.
-1160
Let d = 356.572 + -348.4. What is d rounded to one dp?
8.2
Let z = 5.43 + -0.03. Let l = -90 + 105.6. Let y = z - l. Round y to the nearest integer.
-10
Let p = 9724.030044 + -9724. Let q = -0.03 + p. Round q to 5 dps.
0.00004
Let v(j) = -j**3 - 5*j**2 - 4*j + 1. Let x be v(-4). Let z be -14 - -9 - 25395*x. Round z to the nearest one thousand.
-25000
Let b = -23.2 - -286.2. Let n = 103 - b. Let z = n + 160.000241. Round z to 5 decimal places.
0.00024
Let t = 1174.53 + -1040.3. Let c = t + -133. Round c to 1 dp.
1.2
Let c = 156 + -68. Let n = c + -87.999724. What is n rounded to 5 decimal places?
0.00028
Let d = -594.4 - -530. Let x = d - -71. Round x to zero dps.
7
Let o = -1.4 + 14.4. Let r = o + -13.00000033. Round r to seven dps.
-0.0000003
Let v = -278 - -278.0133. What is v rounded to 3 decimal places?
0.013
Let p = 190 + -189.9999705. Round p to six decimal places.
0.00003
Let s = -7 - -14. Suppose f - 19 = -3*w, 3*w - 3*f + f - 7 = 0. Suppose -y + 7 = -0*y + 5*j, -3*j = -w*y + s. What is y rounded to the nearest 10?
0
Let l = -13.6 + 13.718. Let o = -5.218 + l. What is o rounded to 0 decimal places?
-5
Let m = -921.99928 + 922. What is m rounded to three decimal places?
0.001
Let y = 18931961 + -18931960.53999986. Let b = 0.46 - y. What is b rounded to 7 dps?
-0.0000001
Let c = -0.29 + 0.4. Let t = c + 0.17. Let x = t + -0.28054. Round x to 4 decimal places.
-0.0005
Let d = -182.4 - -6.4. Let f = d + 176.166. What is f rounded to 2 dps?
0.17
Let r = 89722.30999981 - 89722.1. Let u = -0.083 - -0.293. Let d = r - u. Round d to 7 dps.
-0.0000002
Let f = -39.63 - -38. Let k = f - -1.779. What is k rounded to two dps?
0.15
Let j(d) = d - 6. Let z be j(8). Suppose -4*t - f + 62 = 0, z*t + t + 2*f = 49. Let g(p) = 6*p - 1. Let v be g(t). What is v rounded to the nearest 10?
90
Let u = -2603 + 2602.998923. What is u rounded to 5 dps?
-0.00108
Let y = -136 - -137. Let h = 1.195 - y. What is h rounded to two dps?
0.2
Suppose 4*x - 487295 = -3*w - 0*w, 487291 = 3*w + 2*x. Let s = -71571 - w. What is s rounded to the nearest 10000?
-230000
Let n be -4*11/22 + (-1 - 80997). What is n rounded to the nearest ten thousand?
-80000
Let i be (10*18)/(-4)*20/(-6). Let o be i/(2/152*-1). What is o rounded to the nearest one thousand?
-11000
Let z(t) = -10876*t + 25. Let n be z(13). Let d = -220253 - n. Let o = -218890 - d. What is o rounded to the nearest 100000?
-100000
Let c = -41539550.19000011 + 41539550. Let j = c + 0.19. Round j to seven decimal places.
-0.0000001
Let w = 472 - 471.999953. What is w rounded to 5 decimal places?
0.00005
Let u be 4/1 - (4 - 2). Suppose -u*n + 10607 = -60129. Suppose -4*j - 875368 = -n. Round j to the nearest ten thousand.
-210000
Let c = 0.168 + -0.22. Let z = c + -43.948. Let f = -43.99954 - z. What is f rounded to 4 decimal places?
0.0005
Suppose 8*f = -2*c + 5*f - 57406, c - 3*f = -28694. Round c to the nearest 10000.
-30000
Let k(n) = 699999*n - 17. Let o(l) = -2. Let v(c) = k(c) - 6*o(c). Let x = -2 + -3. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
de -982080 by -1984.
495
Calculate -16 divided by -76.
4/19
Calculate -2869168 divided by -2.
1434584
What is -4086476 divided by -14389?
284
Divide -419709 by 13539.
-31
What is 42939 divided by -3303?
-13
What is -53950 divided by -10790?
5
3077600 divided by -384700
-8
Calculate -3 divided by 5082.
-1/1694
Calculate -3649 divided by -3.
3649/3
0 divided by 123382
0
-28011 divided by -7
28011/7
-3888499 divided by 6
-3888499/6
What is 18506 divided by -487?
-38
382536 divided by -5544
-69
Divide 50312 by 12578.
4
Divide -4 by 28426.
-2/14213
Calculate -191631 divided by 3.
-63877
What is 448779 divided by 4?
448779/4
Divide 211564 by 227.
932
What is 9600 divided by -64?
-150
Calculate 232470 divided by 12915.
18
-24552 divided by 31
-792
What is 1195481 divided by -17843?
-67
What is 1160586 divided by 386862?
3
25750 divided by 6
12875/3
What is 711660 divided by 3?
237220
-4517 divided by -7
4517/7
32144 divided by 2
16072
18351 divided by 6117
3
Calculate 4 divided by 221.
4/221
What is -44 divided by -80645?
44/80645
What is -170898 divided by -6?
28483
Calculate 31 divided by 9132.
31/9132
Divide -2 by 223767.
-2/223767
Calculate 76331 divided by 37.
2063
What is 472360 divided by -472360?
-1
Divide -176778 by 366.
-483
Calculate 3 divided by -386100.
-1/128700
Calculate -1829430 divided by -60981.
30
117453 divided by 357
329
60888 divided by 344
177
What is 21822 divided by 10911?
2
-8 divided by -15038
4/7519
Divide 26 by 120146.
1/4621
10 divided by 53013
10/53013
What is -547069 divided by 1?
-547069
Divide 15 by -21932.
-15/21932
Divide -600 by 13.
-600/13
Divide -3 by -334.
3/334
Calculate -51306 divided by -3.
17102
What is -198 divided by 3863?
-198/3863
Calculate 147901 divided by 11377.
13
What is 207798 divided by -1174?
-177
-1561580 divided by 5
-312316
What is 5 divided by -13721?
-5/13721
Calculate 6286248 divided by 38804.
162
Divide 478236 by 2.
239118
What is 968351 divided by -1?
-968351
Calculate 93122 divided by 1.
93122
What is 20988 divided by 1166?
18
Calculate 2290 divided by -32.
-1145/16
36014 divided by 18007
2
What is 560748 divided by -3?
-186916
What is 2 divided by -69885?
-2/69885
Divide 1228 by -8.
-307/2
Calculate 158551 divided by -6.
-158551/6
Divide 4 by -113858.
-2/56929
Divide -3446 by -1.
3446
What is -66039 divided by -5?
66039/5
Divide -54625 by -2185.
25
Calculate -410 divided by -619.
410/619
-3385 divided by -140
677/28
142548 divided by 6788
21
What is 4 divided by 248806?
2/124403
-202 divided by 327
-202/327
What is 14 divided by -1596?
-1/114
Calculate 1794955 divided by 5.
358991
What is 64 divided by -4921?
-64/4921
What is -15151 divided by -6?
15151/6
Divide 3 by -10933.
-3/10933
45 divided by -1309
-45/1309
Divide -348 by -5195.
348/5195
Divide -71737 by 3119.
-23
What is -23679 divided by 23679?
-1
Divide 12438 by 3.
4146
28418 divided by -6
-14209/3
Calculate 1 divided by 90960.
1/90960
Calculate 1 divided by -509586.
-1/509586
267372 divided by -4
-66843
515242 divided by 26
19817
What is -247962 divided by -578?
429
-709748 divided by -2
354874
What is -2858108 divided by 374?
-7642
What is 958080 divided by 47904?
20
3736 divided by -1868
-2
-67524 divided by 1
-67524
What is 24728 divided by -6?
-12364/3
What is -1635 divided by -50?
327/10
Calculate -63575 divided by -14.
63575/14
What is -86004 divided by 3?
-28668
2109 divided by 294
703/98
Calculate -64253 divided by 67.
-959
2738413 divided by 1919
1427
Calculate 2509650 divided by 4563.
550
Divide -56031 by 4.
-56031/4
349419 divided by -1
-349419
-18898 divided by -18898
1
Divide 2419690 by 35.
69134
Divide 178912 by -22364.
-8
Calculate -4783 divided by -29.
4783/29
What is -2865317 divided by 9583?
-299
Divide -9 by -3284.
9/3284
149906 divided by 3
149906/3
-3 divided by 2987
-3/2987
Calculate -685920 divided by -68592.
10
What is -31398 divided by 2?
-15699
Divide -76750 by 38375.
-2
Calculate 74145 divided by 1.
74145
Calculate 4 divided by 325845.
4/325845
Divide 454144 by -1.
-454144
Calculate -12176 divided by -2.
6088
-566 divided by 1
-566
-143497 divided by -6239
23
What is 140718 divided by 3?
46906
What is 16 divided by 132438?
8/66219
Divide 192966 by -3.
-64322
What is 4 divided by 452633?
4/452633
739 divided by 918
739/918
3736 divided by 826
1868/413
Divide -8 by -16563.
8/16563
Calculate -10 divided by -159601.
10/159601
What is 22 divided by -42618?
-11/21309
Calculate 249021 divided by 9223.
27
Calculate 102399 divided by -2.
-102399/2
127794 divided by -114
-1121
Divide -3 by 4157.
-3/4157
Calculate -3 divided by 286763.
-3/286763
What is -3469295 divided by -693859?
5
Divide 4 by -17997.
-4/17997
What is -235074 divided by 386?
-609
9088 divided by 4
2272
Divide -8 by 48998.
-4/24499
What is -4 divided by -9234?
2/4617
What is 506160 divided by -84360?
-6
What is 30 divided by 25?
6/5
What is -15840 divided by -1440?
11
Divide 23046 by -1002.
-23
Divide 238812 by -28.
-8529
Calculate 635782 divided by -14.
-45413
Calculate 477711 divided by 159237.
3
Divide -1168 by 81.
-1168/81
Divide -58 by 4876.
-29/2438
-78 divided by -5078
39/2539
Divide -220665 by 47.
-4695
72745 divided by -14549
-5
Calculate -22256 divided by -22256.
1
Calculate 3 divided by 2125.
3/2125
What is 38955 divided by 159?
245
What is -2152 divided by 24?
-269/3
Calculate -24907 divided by 4.
-24907/4
What is -99265 divided by -1?
99265
241001 divided by -601
-401
Divide 261297 by -3.
-87099
What is 21155 divided by 1?
21155
Divide 10764 by -4.
-2691
37334 divided by -11
-3394
Calculate 309795 divided by -3.
-103265
-215900 divided by 100
-2159
Divide 536172 by 21.
25532
Calculate -1032565 divided by 206513.
-5
Calculate 11358 divided by 1262.
9
What is 3 divided by -56557?
-3/56557
Calculate 277675 divided by -5.
-55535
What is -107778 divided by -53889?
2
Calculate -10 divided by -5035.
2/1007
-65932 divided by -15
65932/15
-36216 divided by 24
-1509
Divide 105740 by -2.
-52870
5 divided by -2976
-5/2976
Divide -4145580 by 4.
-1036395
What is -3 divided by 1969?
-3/1969
Divide 723290 by 5.
144658
Calculate -54 divided by 348.
-9/58
Divide 1437 by 241.
1437/241
What is 1162 divided by -343?
-166/49
What is 34 divided by 2543?
34/2543
Calculate 1659 divided by -123.
-553/41
What is 1961405 divided by 392281?
5
Divide -227010 by -69.
3290
120 divided by -32
-15/4
Calculate -31240 divided by -6248.
5
-2792 divided by 2
-1396
-3 divided by -3167
3/3167
What is 20916 divided by -1?
-20916
Divide 978035 by 215.
4549
What is 11367 divided by 9?
1263
-12158 divided by -2
6079
Divide -7449609 by 1077.
-6917
Divide 30890 by 32.
15445/16
What is -310017 divided by 23?
-13479
Calculate -784860 divided by 1030.
-762
Divide 22410 by 3.
7470
Calculate 5558 divided by 66.
2779/33
269 divided by 55
269/55
Calculate 205712 divided by 3.
205712/3
Divide 16978 by -653.
-26
What is -318318 divided by -6?
53053
Divide -78500 by 15700.
-5
Calculate 8314 divided by -2.
-4157
Calculate -11031 divided by 3.
-3677
Divide -297534 by -3.
99178
What is 258528 divided by -16158?
-16
Divide 6 by -19580.
-3/9790
What is -1254618 divided by -6?
209103
What is 300074 divided by 3?
300074/3
Calculate 1199688 divided by -6216.
-193
Calculate 57456 divided by 9.
6384
649650 divided by -6
-108275
Divide 693186 by 6.
115531
Divide 1692639 by 1887.
897
81189 divided by -27063
-3
What is 0 divided by 16596?
0
Divide 0 by -378.
0
Calculate -8880 divided by 2220.
-4
What is -6245 divided by 562?
-6245/562
3 divided by 204922
3/204922
What is 80640 divided by 1260?
64
What is -1101547 divided by -6?
1101547/6
What is -66788 divided by 4?
-16697
What is 10374 divided by -247?
-42
What is -580 divided by -16?
145/4
What is -943 divided by -288?
943/288
-76257 divided by 333
-229
Calculate -2123 divided by -1.
2123
8307 divided by 35
8307/35
5239 divided by 59
5239/59
What is 757445 divided by -13?
-58265
Calculate 154 divided by 3.
154/3
Divide -1951358 by -563.
3466
What is 13337170 divided by -5?
-2667434
Divide 201159 by -217.
-927
756 divided by -378
-2
What is 70164 divided by 17541?
4
Divide 40791 by -10.
-40791/10
Calculate -5 divided by -308655.
1/61731
-174966 divided by 87483
-2
What is -775452 divided by -4?
193863
Divide 4444 by -2222.
-2
39 divided by 14
|
{
"pile_set_name": "DM Mathematics"
}
|
ound p to four dps.
0.0001
Suppose 0*r = 8*r + 97504. Let h = 20728 + r. Round h to the nearest ten thousand.
10000
Let x = -1496.87862 + 21.22962. Let g = x + 1477. What is g rounded to 1 dp?
1.4
Let k = 26359 + -26358.997008. What is k rounded to two dps?
0
Let w = -4177 + 4160.87. Round w to the nearest 10.
-20
Let q = 7.8 - 1.3. Let j = 87737.5017 + -87744. Let w = q + j. Round w to three decimal places.
0.002
Let l(r) = -814*r - 38. Let g be -12*(-5)/(-10) + 4 - 15. Let t be l(g). What is t rounded to the nearest 10000?
10000
Let r = 1611 + -1610.999998323. Round r to 7 dps.
0.0000017
Let d = -78658 + 78655.24548. Let g = d - -2.76. What is g rounded to three decimal places?
0.005
Let d = 306.05 + -306. Let j = d - 0.049999. What is j rounded to 4 decimal places?
0
Let j = 116155 - 116102.231. Round j to the nearest 10.
50
Let r = -30 + 37. Let q be (0 - -2) + r + -4. Suppose 0 = -q*u - 10, -2*u = n + 2*u + 74008. What is n rounded to the nearest 10000?
-70000
Let t = -6.825 - -7. Let a = -2716.175 + 2712. Let f = t - a. What is f rounded to zero dps?
4
Let y = -91 - -91.41. Let b = y - 0.41975. What is b rounded to 3 dps?
-0.01
Let g = 375.47518 + 0.23482. Let o = 380 - g. What is o rounded to one dp?
4.3
Suppose 301720 = -3*d - 4*y, 2*y + 502885 = -5*d - y. What is d rounded to the nearest 10000?
-100000
Let g = -215471380.99021 - -215472708. Let f = 1327 - g. What is f rounded to 4 decimal places?
-0.0098
Let o = -113 - -139.2. Let s = 199.2 + -209. Let g = s + o. Round g to zero dps.
16
Suppose 4*l = 5*l - 10. Let t be (-190 - l)/((-2)/34). Round t to the nearest 1000.
3000
Let d be 1088053101/297 + 21 - 12/(-22). What is d rounded to the nearest 1000000?
4000000
Let j be 13457004 + -6 + 15 + -13. Round j to the nearest 100000.
13500000
Suppose -3*w - 17 + 50 = 0. Let r be w + ((-1)/2)/((-4)/(-24)). Suppose 0 = -r*d + 3*d - 1750. What is d rounded to the nearest 100?
-400
Let m = -17885 + 17899.5. Let g = -1.13 - -69.13. Let c = g - m. Round c to the nearest 10.
50
Suppose 7*w = 10*w - 27. Suppose w*p + 64578 = 262308. Round p to the nearest 1000.
22000
Suppose -32*f - 1015323 - 8505221 = 0. Let x = f + -252483. Round x to the nearest ten thousand.
-550000
Suppose 0 = -k + 11*k - 6639080. Let z be 153908/(-1 + 2 + 0). Suppose o + k = z. What is o rounded to the nearest one hundred thousand?
-500000
Let z(k) = -1098027*k**3 - 5*k**2 - 35*k - 66. Let l be z(-2). Round l to the nearest one hundred thousand.
8800000
Let t = 2134 - 2207.55. Let l = t + 68. Let u = l - 1.35. What is u rounded to the nearest integer?
-7
Let d = -18 + 46. Let g = d + -27.918. Let l = -1.718 - g. What is l rounded to 0 decimal places?
-2
Let n = 173.86 - 173.1351. What is n rounded to one decimal place?
0.7
Let i(r) = -15736*r**3 - 2*r**2 + 30*r. Let n be i(-5). What is n rounded to the nearest ten thousand?
1970000
Suppose 0 = 1879*z - 1864*z + 719250. Round z to the nearest one thousand.
-48000
Let c = 54.5 - 37.8. Let b = 184.7 - c. Let m = b + -167.999858. What is m rounded to 5 dps?
0.00014
Let m = 6608860 + 3313059. Let q = 9921907.400126 - m. Let w = -11.6 - q. What is w rounded to four decimal places?
-0.0001
Let f(h) = -29*h + 126. Let s be f(4). Suppose s*y - 25787492 = 13912508. Round y to the nearest one hundred thousand.
4000000
Let d = -5499 + 5451.001. Let q = 48 + d. What is q rounded to three decimal places?
0.001
Let p = -480067 + 1085737. Round p to the nearest ten thousand.
610000
Let w(q) = -4*q - 10. Let h be w(-3). Suppose 1333205 = -t + 3*a, -t + a - h*a = 1333193. Let d = -5773196 - t. Round d to the nearest one hundred thousand.
-4400000
Let t = -901 - -10522. Suppose 3*g = -t + 2274. Let n = -25951 + g. Round n to the nearest one thousand.
-28000
Let d(r) = 1488*r**3 + 3*r**2 + 13*r - 4. Let x(f) = -743*f**3 - f**2 - 6*f + 2. Let o(g) = -4*d(g) - 9*x(g). Let m be o(2). Round m to the nearest 1000.
6000
Let o be 1*((-56)/8 + 4). Let b be (39618/(-3))/(-2) - 1 - o. What is b rounded to the nearest 1000?
7000
Let g(n) = 9*n**2 - 29*n + 160. Suppose -41 = -6*j - 11. Let o be g(j). What is o rounded to the nearest ten?
240
Suppose 0 = t + 4*p + 14, -28 = t - 4*t + 2*p. Let o(u) = -5 + t - u - 12*u**2 + 6 - 2. Let n be o(-3). What is n rounded to the nearest 1000?
0
Suppose -156*n + 26818107 = -117034979 + 242606. What is n rounded to the nearest 10000?
920000
Let v = 46.8 + 211. Let a = -257.800001667 + v. What is a rounded to 7 dps?
-0.0000017
Let q = -808844 + -1046956. What is q rounded to the nearest 100000?
-1900000
Let d = -101 + 100.9974. Let f = d + -291.9974. Let c = 292.00117 + f. Round c to four decimal places.
0.0012
Let j = 0.056 + -70.056. Let o = j + 137. Let x = o + -66.99999776. Round x to 7 decimal places.
0.0000022
Let u = 38321.0004162 + -38321. Round u to 5 dps.
0.00042
Let h = -5410.4 + 4675. Let k = -595 - h. What is k rounded to 0 decimal places?
140
Let y be 0*-3*4/12. Suppose -10*o - 5*o + 39630 = y. What is o rounded to the nearest 100?
2600
Let s = -53 + 53. Suppose 4*o = 2*m - 24, 7 = m - s*m - o. Suppose -4*d = -m*j + 16, 2*j - 3*d - 27 = -j. What is j rounded to the nearest 100?
0
Let q = 2475.78249 - 2497.579. Let j = q - -18.616084. Let m = j + 3.18. Round m to 5 decimal places.
-0.00043
Suppose -m = 2*m - 33. Let z(p) = 4*p + 5*p - 1345*p**2 - 1 + 8*p - m*p. Let j be z(-9). What is j rounded to the nearest ten thousand?
-110000
Let v = -10486 + 10438.68. Round v to the nearest ten.
-50
Let y = 19.031 + -19.0271004. What is y rounded to three decimal places?
0.004
Let b = 18517.2357 - 18518. What is b rounded to 1 dp?
-0.8
Suppose 5*u - 1511009 - 2045576 = 0. Suppose -4*z - u = -8195269. Let a = 8370988 - z. Round a to the nearest 1000000.
7000000
Let f = 4447.960203 + -4452.74. Let a = 4.78 + f. Round a to five dps.
0.0002
Let x = -722.8496 + -0.1504. Let t = -724.172 - x. What is t rounded to 1 decimal place?
-1.2
Suppose 515*q - 257*q = 260*q + 10532000. What is q rounded to the nearest one million?
-5000000
Let j = 2595.3 + -2595.453428. Let g = -0.154 - j. What is g rounded to five decimal places?
-0.00057
Suppose 3*o = 23*o - 220. Suppose -4*d = c - 60004, -14*d + 3 = -o*d. Suppose -z - z = -4*s + 40000, -4*s = -3*z - c. What is z rounded to the nearest 10000?
-20000
Let u be (-3 - (-5 + 9102))/((-1)/(-190)). Round u to the nearest one hundred thousand.
-1700000
Let c = -12397 + 12436.516. What is c rounded to the nearest ten?
40
Let a = -0.056 + -57.944. Let n = -58.000158 - a. What is n rounded to four dps?
-0.0002
Suppose -4*i + 4*f + 5586784 = 0, 2*f = 62*i - 67*i + 6983508. What is i rounded to the nearest one million?
1000000
Let g = 9035366 + -9034899.0023. Let l = g - -0.0023. Let r = l + -466.99581. Round r to three dps.
0.004
Let a = 31.419753 - 31.42. What is a rounded to five decimal places?
-0.00025
Let g = -0.232 - 0.059. Let c = g - -0.26598. Round c to three decimal places.
-0.025
Let n(z) be the third derivative of 5077*z**4/12 - z**3/6 - 7*z**2. Let a be n(4). Let f = a - 15415. What is f rounded to the nearest 1000?
25000
Let y(p) = -29*p**3 + 14*p**2 - 3*p - 18. Let l(j) = 9*j - 10. Let o be l(12). Suppose 0 = -10*g - o - 32. Let i be y(g). Round i to the nearest 10000.
70000
Let c(w) = 2*w**3 + 10*w**2 + 7*w + 22. Let f = 35 - 44. Let n be c(f). Round n to the nearest ten.
-690
Let c = 13 - 156. Let z = 11078526169.999999435 + -11078526313. Let i = z - c. What is i rounded to seven decimal places?
-0.0000006
Let t = 146352513.748079758 + 0.251920242. Let u = t - 146352514.76000003. Let o = u + 0.76. What is o rounded to seven dps?
0
Let r(n) = -429999*n - 1. Suppose 4*j + 4*i = 8, 6*j - 5*i + 3 = 4*j. Let o be r(j). What is o rounded to the nearest 100000?
-400000
Suppose 0 = -5*x + x + 4*c - 4, -4*c = 5*x - 22. Suppose 3*r + 4*q = 5708980, 1903015 = 3*r - x*r - 3*q. What is r rounded to the nearest one hundred thousand?
1900000
Let z = -152699.42203 - -153459.418. Let l = -760 + z. What is l rounded to 3 dps?
-0.004
Let h be (-6 + 7 + -1)/2. Suppose -3*k - 2*k = 4*f + 53395, h = 5*f - 4*k + 66754. What is f rounded to the nearest one thousand?
-13000
Let z = 418 - 472.3. Let m = -8.7 + z. Let b = m + 62.99976. Round b to 5 dps.
-0.00024
Let b = 4.31 - -463.69. Let k = b + -
|
{
"pile_set_name": "DM Mathematics"
}
|
: 1, x: 2, r: 3, z: 4, k: 1}.
1/660
Two letters picked without replacement from wud. Give prob of sequence uw.
1/6
Three letters picked without replacement from xbbxbbxbbxbbxbbbbbb. Give prob of sequence bbb.
364/969
Four letters picked without replacement from ititctihiiiitzh. What is prob of sequence izii?
1/156
What is prob of sequence xux when three letters picked without replacement from zkxuxqucxkxxxxx?
8/195
Four letters picked without replacement from {m: 1, b: 4, p: 4, j: 3, e: 1}. Give prob of sequence pmpj.
3/1430
Two letters picked without replacement from {f: 2, b: 2}. Give prob of sequence bf.
1/3
Calculate prob of sequence qq when two letters picked without replacement from {l: 5, b: 2, q: 2, h: 1, i: 1, m: 2}.
1/78
What is prob of sequence kz when two letters picked without replacement from {h: 2, r: 1, a: 1, z: 5, k: 8}?
5/34
Calculate prob of sequence or when two letters picked without replacement from bxxvvboxvbvbrvb.
1/210
Calculate prob of sequence xi when two letters picked without replacement from {x: 7, c: 1, l: 2, i: 2, a: 1, s: 2}.
1/15
What is prob of sequence rrtk when four letters picked without replacement from kmokkotkrokorioo?
1/4368
Calculate prob of sequence gr when two letters picked without replacement from {b: 3, c: 2, g: 2, r: 9}.
3/40
Three letters picked without replacement from {d: 13, i: 1, k: 2, c: 1}. What is prob of sequence kcd?
13/2040
Calculate prob of sequence gm when two letters picked without replacement from {m: 1, v: 1, g: 2, b: 4, q: 4, y: 2}.
1/91
Four letters picked without replacement from {p: 6, f: 6}. What is prob of sequence ffpp?
5/66
Calculate prob of sequence ml when two letters picked without replacement from {m: 1, o: 12, l: 2, g: 1, k: 1}.
1/136
Four letters picked without replacement from {a: 1, w: 2, f: 1, h: 11}. What is prob of sequence fahw?
11/16380
Calculate prob of sequence wx when two letters picked without replacement from jwjxxjxxwwjjxswjjjwj.
5/76
Two letters picked without replacement from agkqz. Give prob of sequence kz.
1/20
Two letters picked without replacement from {a: 4, r: 14}. What is prob of sequence aa?
2/51
Calculate prob of sequence so when two letters picked without replacement from {v: 5, o: 2, u: 1, g: 1, s: 1, k: 6}.
1/120
What is prob of sequence wp when two letters picked without replacement from {n: 1, t: 1, p: 1, h: 1, w: 4}?
1/14
Calculate prob of sequence nilm when four letters picked without replacement from lliiilmnmlnlnnn.
5/1092
Three letters picked without replacement from aajjc. Give prob of sequence jca.
1/15
Four letters picked without replacement from wwpwwwpjwpwpp. What is prob of sequence pjpp?
1/286
What is prob of sequence vc when two letters picked without replacement from aavvvpmssacpavav?
1/48
Four letters picked without replacement from kkaukkruekiekk. Give prob of sequence uiak.
1/1716
What is prob of sequence dh when two letters picked without replacement from mhqpdme?
1/42
What is prob of sequence mocl when four letters picked without replacement from lomco?
1/60
Two letters picked without replacement from itittiittiittittii. What is prob of sequence ti?
9/34
Two letters picked without replacement from {m: 10, o: 2, a: 3}. What is prob of sequence ao?
1/35
Calculate prob of sequence nd when two letters picked without replacement from njjnkjddtvtn.
1/22
Calculate prob of sequence rttt when four letters picked without replacement from {t: 6, r: 12}.
1/51
Two letters picked without replacement from {j: 9, u: 7}. Give prob of sequence uj.
21/80
Calculate prob of sequence lkp when three letters picked without replacement from {y: 1, l: 1, a: 5, p: 5, k: 3}.
1/182
Four letters picked without replacement from {f: 1, t: 3, u: 2, c: 2, o: 2, z: 2}. What is prob of sequence utto?
1/495
Calculate prob of sequence bb when two letters picked without replacement from {c: 5, b: 9}.
36/91
Three letters picked without replacement from okookoo. What is prob of sequence oko?
4/21
Four letters picked without replacement from {x: 6, j: 6}. Give prob of sequence xjjj.
2/33
Calculate prob of sequence xxxx when four letters picked without replacement from {h: 1, x: 14}.
11/15
Four letters picked without replacement from jjjj. Give prob of sequence jjjj.
1
Three letters picked without replacement from {v: 2, w: 3, f: 1, h: 2, e: 1, o: 8}. What is prob of sequence evh?
1/1020
What is prob of sequence ux when two letters picked without replacement from xuuvtxxxvtv?
4/55
Three letters picked without replacement from {d: 5, z: 2, w: 2}. What is prob of sequence wdz?
5/126
Calculate prob of sequence oo when two letters picked without replacement from {a: 1, o: 12}.
11/13
Two letters picked without replacement from ffmmtzjemjff. Give prob of sequence fj.
2/33
Calculate prob of sequence ggv when three letters picked without replacement from {g: 3, v: 8}.
8/165
Three letters picked without replacement from {l: 6, v: 4, w: 1, p: 2}. Give prob of sequence ppl.
1/143
Three letters picked without replacement from {z: 1, q: 1, y: 2, v: 1, l: 1, j: 1}. What is prob of sequence zyl?
1/105
Two letters picked without replacement from mdyvwmdz. What is prob of sequence mz?
1/28
Two letters picked without replacement from pppppppffpppfppp. What is prob of sequence fp?
13/80
What is prob of sequence sos when three letters picked without replacement from ssaakssosffsfsaf?
1/80
Two letters picked without replacement from xxxjxxkxxxxkxkxxj. What is prob of sequence kx?
9/68
Four letters picked without replacement from bwobytcybyt. What is prob of sequence bowy?
1/880
Calculate prob of sequence qqr when three letters picked without replacement from {r: 2, t: 2, u: 6, a: 1, q: 2, z: 4}.
1/1020
What is prob of sequence eq when two letters picked without replacement from {r: 7, m: 1, e: 4, d: 3, c: 1, q: 2}?
4/153
Calculate prob of sequence eia when three letters picked without replacement from {a: 1, e: 5, q: 1, r: 1, i: 2}.
1/72
Two letters picked without replacement from {h: 2, g: 9}. Give prob of sequence hg.
9/55
Two letters picked without replacement from qqqqqqkq. Give prob of sequence kq.
1/8
Calculate prob of sequence bhb when three letters picked without replacement from {h: 2, b: 7}.
1/6
Calculate prob of sequence fd when two letters picked without replacement from {m: 2, p: 5, u: 2, f: 1, d: 6}.
1/40
Two letters picked without replacement from {y: 3, c: 1, t: 1, b: 2}. What is prob of sequence yy?
1/7
Two letters picked without replacement from {l: 2, f: 1, q: 1, u: 1, z: 1, b: 1}. What is prob of sequence bf?
1/42
Two letters picked without replacement from {k: 3, i: 3, v: 2, j: 3, n: 3}. Give prob of sequence kk.
3/91
What is prob of sequence wusw when four letters picked without replacement from wzuuuwuszuuuuwsz?
1/455
Two letters picked without replacement from {l: 1, z: 2}. Give prob of sequence zz.
1/3
Three letters picked without replacement from {g: 1, a: 1, m: 1, n: 1, o: 1}. Give prob of sequence gga.
0
What is prob of sequence am when two letters picked without replacement from {a: 4, m: 5, o: 1, v: 3}?
5/39
Two letters picked without replacement from {n: 4, y: 2}. What is prob of sequence yn?
4/15
Calculate prob of sequence nb when two letters picked without replacement from {b: 4, c: 8, n: 1}.
1/39
What is prob of sequence ggr when three letters picked without replacement from {g: 9, r: 7}?
3/20
What is prob of sequence hhfh when four letters picked without replacement from hhhhhffhhhf?
7/55
Three letters picked without replacement from qff. Give prob of sequence ffq.
1/3
Three letters picked without replacement from lfwsclccsccffccf. Give prob of sequence cfl.
1/60
Two letters picked without replacement from ljlzjelzlfjjljln. Give prob of sequence ne.
1/240
Calculate prob of sequence djp when three letters picked without replacement from ffdjpjtljtftdd.
3/728
What is prob of sequence uddd when four letters picked without replacement from {l: 5, u: 2, i: 2, d: 8}?
1/85
Four letters picked without replacement from {f: 1, x: 1, g: 3, l: 2, k: 4}. What is prob of sequence fklk?
1/330
Calculate prob of sequence fjjf when four letters picked without replacement from fwfxffxxftjxfjffjxfj.
12/1615
What is prob of sequence eeee when four letters picked w
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the smallest value in -70.2, 3, 0.4, -2/13?
-70.2
Which is the sixth biggest value? (a) 5 (b) 0 (c) -2/7 (d) -0.4 (e) -0.1 (f) 68
d
Which is the second biggest value? (a) 0.4 (b) 27 (c) -27759 (d) -2 (e) 0.5
e
What is the third smallest value in -3, -0.14, -0.1, 26121?
-0.1
What is the seventh biggest value in 0.2, -1, -3, 3, 22.3, -2/67, -1/6?
-3
What is the sixth smallest value in -5, 4/5, 0.2, 17.745, 3/13, 2/11?
17.745
Which is the biggest value? (a) 113/4 (b) 1 (c) -4 (d) 3 (e) -1 (f) 28
a
What is the fourth biggest value in 1/9, 2, 0.1, 3/2, -4/5, -2521?
0.1
Which is the fifth smallest value? (a) 1/7 (b) -1 (c) -904/3 (d) 0.6 (e) 5
e
What is the third smallest value in 187913, -9, 1?
187913
Which is the second biggest value? (a) 1/18 (b) 14774 (c) -1/6
a
Which is the second smallest value? (a) 1/5 (b) 0 (c) -3/5 (d) -1124 (e) 0.237 (f) 1 (g) 0.1
c
Which is the smallest value? (a) -0.5 (b) -4 (c) -2/15 (d) -461685 (e) 0.3
d
Which is the biggest value? (a) 9.05 (b) -5 (c) 2/15 (d) -0.14 (e) -6 (f) 0.24
a
What is the fourth biggest value in 4, -0.169, -1, -5, 1/14, -0.08, -0.26?
-0.169
Which is the biggest value? (a) 4 (b) 3 (c) -0.1 (d) -162228 (e) 0.3 (f) 0 (g) 0.2
a
Which is the fourth smallest value? (a) -2/5 (b) 56.1 (c) 1 (d) -6011 (e) -5
c
What is the second biggest value in -43597, -5, 46?
-5
What is the sixth biggest value in -0.3, 2/5, -22, 0, 0.127, -5/2, 2/17?
-5/2
What is the third biggest value in 0.10937, -2/21, -2/3, -4, 0.16, 4?
0.10937
Which is the third smallest value? (a) 5 (b) 139.165 (c) 285
c
Which is the fourth smallest value? (a) 3/4 (b) 1/3 (c) -897 (d) -0.1 (e) 2/19 (f) -8
e
Which is the fifth smallest value? (a) -27 (b) -0.1 (c) 74 (d) 2/7 (e) -89
c
Which is the third smallest value? (a) -0.4 (b) 34/29 (c) -23 (d) 0.23 (e) 1/11 (f) 2
e
Which is the third biggest value? (a) 0 (b) -1/9 (c) 238/32367 (d) 0.1
a
Which is the fourth biggest value? (a) 10 (b) 262 (c) 0.5 (d) 5 (e) 0.2 (f) -0.4 (g) -2.2
c
What is the biggest value in -0.2, -236586, -3/8?
-0.2
Which is the biggest value? (a) 3 (b) -0.2 (c) -43 (d) -1 (e) -0.01833
a
Which is the smallest value? (a) -16 (b) -439 (c) 1/3 (d) -3 (e) 5
b
Which is the fourth biggest value? (a) -4 (b) 0.2 (c) -5 (d) 1 (e) 0.611 (f) 2 (g) -33
b
Which is the fourth biggest value? (a) 3 (b) 336102 (c) -0.4 (d) 1.4 (e) -15 (f) 1/4
f
Which is the biggest value? (a) -62/7 (b) -18 (c) -7.1 (d) 2/11 (e) 44
e
Which is the smallest value? (a) 2/13 (b) 5583 (c) 2 (d) -5 (e) -4 (f) -8
f
Which is the smallest value? (a) 0.6127 (b) -0.3 (c) 1/3 (d) 0.2 (e) -3/2 (f) 3/5 (g) 5
e
Which is the second smallest value? (a) -189/4 (b) -0.15 (c) 80.48
b
Which is the third biggest value? (a) 126 (b) -0.07 (c) 2/5 (d) -4 (e) -17
b
What is the smallest value in 0.4, 8, -3.9, 0.5, 236?
-3.9
Which is the second biggest value? (a) 11/628 (b) -1/5 (c) -2/9 (d) 1/8
a
What is the second smallest value in 4/207, -0.1, -8, -279, 11?
-8
What is the third smallest value in 19, 72.773, 0.089?
72.773
What is the second biggest value in 19, 2/11, 0.1, 5, -3502, -3?
5
Which is the second smallest value? (a) -44 (b) -6711 (c) 0.141
a
Which is the smallest value? (a) -1 (b) -10 (c) -7 (d) -3 (e) -3/2 (f) 7 (g) 0.3
b
Which is the fourth biggest value? (a) -0.05 (b) 2 (c) 0 (d) -1 (e) 4 (f) 59712
c
What is the second smallest value in 0.3, 6, 9, -121, 2/13, 0.1?
0.1
What is the second smallest value in 1/11850, -3/4, -6/431?
-6/431
Which is the third smallest value? (a) 0.2 (b) 1/2 (c) 0.02 (d) 0.26 (e) -2/33 (f) -0.4 (g) -3
e
What is the second smallest value in -11, -17.2, 2, -2, 5/58, -0.3?
-11
What is the biggest value in 76/15, -3/17, -3/4, 1?
76/15
Which is the second smallest value? (a) -2 (b) -5858 (c) 5 (d) 1/649
a
What is the fourth biggest value in -5, 7/3, 0, 3, 406, 1/10, -1/3?
1/10
Which is the third smallest value? (a) 3290431 (b) -5 (c) -1
a
Which is the biggest value? (a) 33 (b) -0.36 (c) -0.673 (d) 3/5 (e) -2
a
What is the second smallest value in 0.038, -0.2, -2/27, 2.21, -3?
-0.2
Which is the second smallest value? (a) -2 (b) -3/4 (c) -3331/4093
c
What is the third biggest value in 0.02, -88/15, -0.1, 3/5, -5?
-0.1
What is the third biggest value in -193, -0.34, 0.2, -104/37?
-104/37
What is the sixth biggest value in 3/86, 1, -1/3, -5/118, 2/11, -0.1?
-1/3
What is the smallest value in -0.13413, -5, -2/73, -4?
-5
What is the biggest value in 0.112218, -4, 0.4, -0.1, 6?
6
Which is the third biggest value? (a) -2.76 (b) -27 (c) -2 (d) 3 (e) -197
a
Which is the biggest value? (a) 11 (b) 70 (c) -0.004297
b
What is the smallest value in -22, 0.5, -5, 1/8, -84234?
-84234
What is the fourth smallest value in 0, 2/11, 4, -83, 349?
4
What is the sixth biggest value in -4, -3/7, -11.48, -0.4, -2, 128?
-11.48
Which is the fifth smallest value? (a) 5 (b) 2.61 (c) 0.0549 (d) 3 (e) -0.1
a
What is the second smallest value in -5, 5, -1.69, -69/2, -3/55?
-5
What is the biggest value in 1/8, -20, 2.453?
2.453
Which is the biggest value? (a) 1 (b) 0.03 (c) -1338/59 (d) 222
d
Which is the seventh biggest value? (a) -66 (b) 1 (c) -4 (d) 3.6 (e) 0 (f) 4/129 (g) -1
a
Which is the second biggest value? (a) 5 (b) 11 (c) -186759 (d) -2/19
a
Which is the fifth biggest value? (a) -0.3 (b) -2 (c) 0.2 (d) 4 (e) 2/299 (f) 20 (g) -0.4
a
What is the biggest value in -15, -4/5, -6, 4, -0.17, -0.2, 72?
72
What is the fourth biggest value in 12.6, -269645, 3, -0.3?
-269645
What is the third biggest value in 2505, 0, -0.1, -4.5?
-0.1
What is the fourth biggest value in -15, -4, -2/5, 3109, 1?
-4
Which is the third smallest value? (a) 24893 (b) -0.5 (c) 30
a
Which is the fourth smallest value? (a) -47 (b) -821 (c) -5 (d) -6/25
d
What is the second smallest value in 0.4, 2, 13887042.39?
2
What is the third biggest value in -1/7, 1/3, -5/41, -81321?
-1/7
Which is the third smallest value? (a) 5087 (b) -5 (c) -4 (d) -1 (e) -1/3 (f) -0.014
d
Which is the third smallest value? (a) 1 (b) 0.2009287 (c) 12
c
What is the second biggest value in -2/11, 0.4, -1, -2404, 5/12?
0.4
What is the second biggest value in -0.1, -1/5, -2, 0.4, 2/7, 183493?
0.4
Which is the third biggest value? (a) 4 (b) 44/9 (c) -3832
c
Which is the smallest value? (a) -3/4 (b) -0.8 (c) 0.4 (d) -3315782
d
What is the third smallest value in 0.6, -4875/394, 0.5?
0.6
Which is the smallest value? (a) 79 (b) 1.4 (c) -3 (d) 0.1 (e) 2/13 (f) 4/9
c
Which is the fifth biggest value? (a) -0.3 (b) -1 (c) -71 (d) 0.08 (e) -0.1 (f) 9 (g) -631
b
What is the second biggest value in 2/9353, 0, 15392?
2/9353
What is the fifth biggest value in -1, 0, -0.538, -2/5, -2/739?
-1
What is the second smallest value in 11674, 15, -24?
15
What is the second smallest value in 4, -5, -1/10, -1293318?
-5
What is the sixth smallest value in -2636, -0.08, -2/11, -10, 1, 2/7, -0.1?
2/7
What is the third biggest value in -2/1183, 0.2, -1/518, -4, -0.3?
-1/518
What is the second smallest value in 3, -1, 0, 90, 1/103?
0
What is the smallest value in -1/17, -0.03, -0.2, 4052?
-0.2
Which is the biggest value? (a) 0.2 (b) -9518 (c) 0.19 (d) 2
d
Which is the sixth smallest value? (a) -2/979 (b) 14 (c) 0 (d) -1/3 (e) -2/17 (f) -3 (g) -0.095
c
What is the fourth biggest value in -16, -0.036, -3, -56, 0.01?
-16
Which is the third biggest value? (a) 11 (b) -0.24 (c) 18 (d) -6 (e) 0.1
e
What is the second biggest value in -1/6, -2/47, 3, -8688?
-2/47
Which is the smallest value? (a) -0.5 (b) -4 (c) 5406155
b
What is the third smallest value in 3.1, 1/4, -0.07, 22, 0.107, -2/9?
0.107
What is the third smallest value in 4/7, -6, -8733.67, -1/6, -2/5?
-2/5
Which is the third biggest value? (a) -9863/29 (b) -11 (c) 1/3 (d) 5/3 (e) 3/8
c
What is the fifth smallest value in -1, 0.3, -4, -10, -16469?
0.3
Which is the second biggest value? (a) 2 (b) -4 (c) 2077902
a
Which is the sixth smallest value? (a) 22/5 (b) -2/11 (c) -1 (d) -0.06 (e) 3628 (f) -5/3
e
What is the second smallest value in 209/3, -3, 2, -2, 3?
-2
What is the smallest val
|
{
"pile_set_name": "DM Mathematics"
}
|
for x.
0
Suppose -130 = -35*q + 9*q. Solve 4*f + 5*p + 20 = 2*f, -4*f = q*p + 20 for f.
0
Let b be (15/6)/((-1)/26). Let q = b - -88. Solve 4*m + q = -3*t, 3*t = -5*m - 2*t - 30 for m.
-5
Let c be 104/78 - 1/3. Let s be 12/c*24/72. Solve 3*r + 0*r + 4 = 4*y, 2*r - s = -4*y for y.
1
Let f(x) = 29*x + 29. Let t be f(-1). Solve -3*g + 19 = -t*p + 2*p, 2*g = 4*p + 2 for g.
5
Let i be 6/(-21) - (-60)/14. Let v(m) = -m**2 + 5*m - 1. Let h be v(i). Suppose 2*u - y = -h*y - 6, 2*u = 2*y + 14. Solve c + 4*q - 5 = q, 5*q = u*c + 12 for c.
-1
Suppose 0 = -5*q - 9 + 24. Let p be -3 - 1/(-2)*6. Let b = 47 - 45. Solve -9 = -j + b*a - p*a, -2*a = -q*j + 11 for j.
1
Suppose y = 6*y - 25. Let f be ((-30)/4)/(3/(-4)). Solve -b - 13 = y*d - 4*b, 0 = 2*d - 5*b - f for d.
-5
Suppose 11*w - 50 = 16. Solve -2*f + w*f + 23 = u, f = 3*u - 14 for f.
-5
Let j = 372 + -242. Suppose -9*i = -4*i - j. Let d be ((-32)/12)/(2/6 + -1). Solve 2*h + i = d*f, 2*f + 1 = -2*h + f for h.
-3
Let c = 940 + -940. Solve 3*y = 2*y + m - 1, 4*y - 5*m + 1 = c for y.
-4
Let c be -4 + -37 + (-4 - -1). Let y be -1 + 5/((-20)/c). Suppose 8 + y = 6*p. Solve -3*t + u = -2*t + 7, t + 15 = p*u for t.
-3
Let i(h) = -h**3 - 67*h**2 + 366*h + 444. Let g be i(-72). Suppose -m + 5 = 1. Solve 0*f = -m*l - 2*f + g, 2*f = 2*l for l.
2
Suppose 0 = -7416*m + 7422*m - 24. Let x(h) = h**3 - 3*h**2 + 2*h - 1. Let a be x(3). Solve -j - c = m, a*j + 0*j - 2*c - 1 = 0 for j.
-1
Suppose 9*o - 31*o + 66 = 0. Solve 0 = -3*c + o, -5*v - 8*c + 3*c - 15 = 0 for v.
-4
Let f(v) = -v**3 - 9*v**2 + 5. Suppose 56 = -2*j - 2*j + 4*k, 4*j = -k - 31. Let b be f(j). Solve 4*h = 5*g - b, 3 + 21 = -3*g - 3*h for g.
-3
Let y(f) be the first derivative of -f**3/3 - 3*f**2 - 6*f - 4. Let d be y(-6). Let u = d - -9. Solve -3*l - 3*i + 19 - 1 = 0, -5*l + u*i = -22 for l.
5
Suppose -4*g = 8 - 36. Suppose 4*h = -2*c - 1 - g, c + 4*h + 10 = 0. Let p(l) = -l + 2. Let o be p(2). Solve o = 3*a + 2*y - 3, -2*a + c*y + 2 = -0*y for a.
1
Let l be (45/(-27) + -1)/((-8)/60). Solve 2*a + 9*c + 2 = 5*c, 5*a = 5*c - l for a.
-3
Let j be ((0/18)/(12/3))/3. Solve j = 2*v - 2*u - 14, -v + 11 = -4*u - 11 for v.
2
Suppose -4*n + 4*z + 80 = 0, -3*z = n - 0*z. Solve -u = 2*i - 5, 0 = -4*u + 3*u + 2*i - n for u.
-5
Let i be 1 - 5 - (-330)/10. Let m = i + -25. Solve -5 = -2*g + m*g - l, g - 5*l = 20 for g.
-5
Let l = -1498 + 1498. Solve 4*t + 5*r - 3 - 19 = l, 3*r = 6 for t.
3
Let y(n) = n**3 + n**2 - 1. Let h(k) = 4*k**3 + 23*k**2 + 19*k. Let z(v) = h(v) - 3*y(v). Let x be z(-19). Solve w + x*p = -w - 8, 3*w + 2 = -2*p for w.
2
Let k(l) = -l**3 - 12*l**2 - 35*l - 9. Let x be k(-4). Solve 4*n + 3*m - 3 = 0, -3*n - x*m = 2*n for n.
-3
Let c be 9/3*(-4)/(-6). Suppose -h = -i, -2*h + 6 + 0 = 0. Suppose 31*p - 3 = -35*p + 65*p. Solve c*m = -p*m, -y + i*m = 1 for y.
-1
Suppose -25*y + 9 = -22*y. Let p(f) = -2*f**2 - 1 - 5*f + f**2 + 0*f**2. Let h be p(-4). Solve v + 4 = h*d, 4 = -v + 6*v - y*d for v.
2
Let s(u) = 3*u**2 - 15*u. Let z be s(6). Let n(f) = -f + 22. Let q be n(z). Solve -3 = v, 0 = q*p + 5*v - 1 for p.
4
Suppose -39 + 47 = 2*d. Let i be (-6)/6 + d + (-1 - 0). Solve 2*a + 6 = -i*n, 0*a + 2*n + 1 = 3*a for a.
-1
Let t(b) = 10*b**2 - 4*b - 3. Let g be t(-2). Let a = g + -42. Solve a*k - 13 = 4*i, -3*k - 2 = i + 5 for k.
-1
Let w = 20 - 58. Let h = w + 56. Let k = h + -16. Solve 0 = -0*l - 5*l + k*c + 2, c - 6 = -l for l.
2
Let r(v) = -v**3 + 6*v**2 - 4*v + 31. Let m be r(6). Solve -2*u + s = 2, -3*u - 3 = 2*s - m*s for u.
-1
Suppose j + 3*c = 2*j - 11, 2*c + 107 = 5*j. Solve 2*g - 3*g = p - 1, -2*g + 3*p = j for g.
-4
Let o(f) = -2*f**3 - 7*f**2 - 10*f. Let m be o(-1). Solve 2*x - 4 = 2*l, -5*x = m*l - 6*l - 22 for x.
5
Let m(a) = -2*a**2 - a**3 + 2*a + 1 + 0*a + 5*a**2. Let v be m(-2). Let h be (-16)/(-120) + (-56)/(-30). Solve -4*z = 3*c + v, -4*z + 3 - h = -3*c for c.
-3
Suppose -123 = -37*l + 395. Solve -4*h + 5*f + 18 = -l, -h + 4*f = -19 for h.
3
Let g be 112/21 - (-1)/(-3). Suppose g*k = 18 - 8. Suppose 14 = -64*h + 71*h. Solve -k*p - 4*x - 14 = 0, -9 = h*x + x for p.
-1
Let y be (-5 + 80/15)*15. Solve 0 = 5*j + b - 14, j - y = -2*j - 4*b for j.
3
Let g(n) = n**2 - 7*n - 7. Let c be g(7). Let z(w) = -w**2 - 7*w + 4. Let x be z(c). Solve -a - 6 = 4*j, 0*a = -x*a - j - 9 for a.
-2
Let m be 1/(-2 + 54/26). Let d be (0 - -3)*(-4)/4. Let y = m + d. Solve 4*c - 4*r = -r - 20, 2*c + r = -y for c.
-5
Suppose 6*u = 10*u. Suppose 7*b - 6 - 8 = u. Solve -h = -5*c - 0*h + b, 0 = 2*c + h + 2 for c.
0
Let i(u) = u. Let z be i(3). Suppose 0 = -5*l + z*q - q + 8, -4*l + q = -7. Solve -y - l*p = 2*p - 15, 0 = 5*y - 3*p + 40 for y.
-5
Let o = 63 + -42. Suppose -5*u + o + 9 = 0. Let y be (-8)/(-48) + 47/u. Solve -2*a + 14 = -3*z + 2, 0 = -2*a + 2*z + y for a.
0
Let v(b) = 2*b + 21. Let c be v(-8). Suppose -5*y - h = -5*h - 41, y - c = 4*h. Suppose 4*t = y + 11. Solve -2 = -p + 4*z - z, 0 = t*p - 3*z + 14 for p.
-4
Suppose -4*g = -7 - 5. Suppose 0 = q - 2*s, 4*q + s = g*q. Solve q = 2*w - 3*c + 5 + 3, 3*w + 12 = -5*c for w.
-4
Let o(a) = 19*a**2 - a - 4. Let v be o(2). Let x = v - 40. Solve r = 4*l + 13, 8*l + x = 3*l + 4*r for l.
-2
Let m = -452 + 457. Solve -4*v - 12 = 4*z, -m*v - z = -0*v + 11 for v.
-2
Let d = 5 - 2. Let o(l) = 0 + d*l + 5*l + 2*l - 5. Let n be o(3). Solve 4*j + 5*y = -0*y - n, 3*j = -5*y - 20 for j.
-5
Let x(g) = g**3 + 10*g**2 + 22*g - 8. Let w be x(-4). Solve 2*j = 2*u + 14, 0 = -3*j - 4*u - w*u for j.
4
Suppose -288 = -3*m - 9*m. Let x(r) = r**3 + 3*r - 3. Let o be x(2). Solve -5*z + z = 3*p + m, -5*z - o = -p for p.
-4
Suppose -52 = 3*o - 232. Suppose -38*q = -34*q - o. Solve 2*a + q = 5, 0 = -3*p - a - 8 for p.
-1
Suppose -5*c + 25 = -5*k, -5*c + 14 = -k - 15. Suppose 0 = c*x - 3*x - 6. Let i = 63 + -35. Solve -x*w - i = 2*d + 3*w, 0 = d - 2*w - 4 for d.
-4
Let s(x) = 5*x**2 + 7*x + 1. Let z be s(-8). Suppose -z + 43 = -6*v. Suppose -v*g + 45 = -34*g. Solve 0 = -3*h - 4*a - g, -3*a = 4*h - a + 20 for h.
-5
Suppose -4*u - 2*x = 4, 2*x + x - 6 = -2*u. Let l be u/(-9)*(0 + 6). Let d be (-5)/((l - 2) + -1). Solve k + 2 = -d*n + 22, -2*k = -3*n + 12 for n.
4
Suppose 5 = -c + 6, -3 = -g + 2*c. Solve -5*h = 15, 5*h = -g*s - 4 - 6 for s.
1
Let c(i) = 3*i - 19. Let d be c(8). Suppose 4*z + 83 = 103. Solve -2 = 3*w - z*v, 0 = -4*w + 3*w + d*v + 6 for w.
-4
Let n(v) = -v**3 + 6*v**2 + v - 4. Let g be n(6). Let h = 0 - 0. Solve g*r - 1 = -3*y, 5*y - 5 = -h for r.
-1
Suppose -6*c + 2*t = -3*c - 16, 2*t - 26 = -4*c. Solve -c*r = -r + 4*z + 5, -r + 5*z = -28 for r.
3
Let f(g) = g**2 - 10*g + 31. Suppose -p = 3*v - 0 + 3, -2*p - 3*v = 0. Let b be f(p). Solve -4*o + 3 - b = q, 2*o + 21 = 3*q for q.
5
Suppose 131*x = 138*x - 14. Suppose 25 = -s + 6*s. Solve s*r = 2*b + 23, 4*b + r - x*r = -1 for b.
1
Let s = 0 + 2. Let j = -69 + 77. Suppose 8 + 8 = j*l. Solve 4*m = -l*h - h - 32, -4*h = s*m + 26 for m.
-5
Suppose 19*r - 124 = -12*r. Solve -2*f = -2*o, 2*o + r = 3*o + f for o.
2
Suppose -2*c + l = -140 + 37, c - 2*l = 56. Suppose 0 = -47*o + c*o - 30. Solve 0 = 4*f + g - 3 - 5, 5*f - 5*g - o = 0 for f.
2
Let k(s) = 2*s**2 - 3*s. Let t be k(2). Suppose -2*b + 4*b = 4*a - 22, -23 = -t*a + 5*b. Solve p + 4 = u, p - a*u = -4*p - 17 for p.
-1
Let p be (0 + 1)*-35*-1. Let f = p + -20. Suppose 3*a + 12 = -a, 0 = 4*z - a - f. Solve -2*v - 15 = -5*j, 0*j - v = j - z for j.
3
Suppose -5*o - 2*o - 273 = 0. Let v = o - -44. Solve 0 = 3*s - c - 11, -2*s + c + 2*c + v = 0 for s.
4
Let z = 2728 - 2723. Solve 3*f - 6 = 2*f + 2*p, z*p = -4*f - 2 for f.
2
Let l(s) = -3*s**2 + 20*s - 20. Let v be l(5). Let z = 2 + 13. Solve 4*x = -2*i - 2*i + 12, z = x + v*i for x.
0
Let h = 33 + -29. Suppose -h = -0*l - l + c, -c = -4*l + 4. Solve 5*x = -5*j + 5, 2*j = -l - 2 for x.
2
Let t(x) = 48*x - 93. Let d be t(2). Solve -1 = -4*a + d*z, -2*a + a - 4*z + 5 = 0 for a.
1
Suppose 15 = 3*h, 0 = 3*c - 0*h - 3*h + 3. Let s be 4/(-6) + (-48)/(-18). Solve -n + 22 = -c*z, -2*z - 3 = -s*n + 11 for n.
2
Let m = -1691 + 1695. Solve -2*q = 2*b - 8, 5*b - 3*b - 10 = -m*q for q.
1
Let r = -48 + 50. Solve -g = r*g - 4*m - 20, 0 = -g - 3*m - 2 for g.
4
Let g = -1061 + 1065. Solve -g*m = -3*q - 0*q - 24, 0 = -3*q - 4*m for q.
-4
Let s = 14 + -5. Let x be (18/(-8))/((-1)/4). Let t = s - x. Solve -5*
|
{
"pile_set_name": "DM Mathematics"
}
|
h) in the form m + w*h**3 + u*h + c*h**2 and give m.
0
Rearrange -2*o**3 + 66 + o**2 - 2*o + o + o**4 - 120 + 68 to the form y*o**4 + z*o**3 + l + h*o**2 + n*o and give h.
1
Express -8 - 23*t**2 - 2 + 24*t**2 - t**3 as w + m*t**3 + s*t + n*t**2 and give w.
-10
Rearrange 6788 - 414*j - 6788 to the form h + z*j and give z.
-414
Rearrange ((-1 + 0 - 1)*(o + 3 - 3) + 3*o + 3*o - 3*o - 37 + 37 - 14*o)*(0*o**3 - o**3 + 0*o**3) to d*o**4 + i + c*o + b*o**3 + p*o**2 and give d.
13
Rearrange j**2 - 2*j**2 - j**2 + (2*j + j - j)*(460 - 21*j - 460) - j**2 + 6*j**2 + 2*j**2 to l + a*j + q*j**2 and give q.
-37
Rearrange (-b**3 - 3*b**3 + 18*b**3)*(-4 + 2 + 0) + (1 + b**2 - 1)*(3*b - 5*b + 5*b) to the form p*b + t*b**3 + r*b**2 + i and give t.
-25
Rearrange (19*z - 37*z - 7*z)*(23*z**2 + 22*z - 22*z) + (-3 + 3 + z**3)*(4 - 1 - 2) to the form m + a*z**2 + h*z**3 + d*z and give h.
-574
Rearrange (-3 + 3 + 1)*(2*q**3 + 2*q**3 - 7*q**3) - 20*q**3 + 32*q**3 - 21*q**3 to the form x*q + f + r*q**3 + d*q**2 and give r.
-12
Express -209*j + 48 + 105*j - 2*j**2 + 104*j in the form g*j + l*j**2 + k and give l.
-2
Express 5 - 5 - 55*i**2 - i - 97*i**3 + 96*i**3 in the form u*i**3 + f*i**2 + m*i + s and give f.
-55
Rearrange (-548 + 548 + 42*g)*(-1392*g - 7*g**2 + 2*g**3 + 1392*g) to the form a*g + w*g**4 + z*g**3 + t*g**2 + b and give z.
-294
Express 6*u - u - 10*u + (-1 + 2 - 2)*(4*u - u - 6*u) - 1 + 1 - 2*u + (-u + 0*u + 3*u)*(2 - 3 - 1) as b + z*u and give z.
-8
Express (-13*z + 5*z + 7*z + 8)*(-62*z**2 + 26*z**2 - 6 + 31*z**2) as n*z + u*z**3 + k*z**2 + y and give u.
5
Express (p - 3*p + p)*((1 - 1 - 1)*(-2 + 5 - 2) + 28 - 38 - 30) in the form w*p + y and give w.
41
Express -5*y**4 + 0*y**4 - 9*y**3 + 0 + y**4 + 8*y**3 - 2 in the form l*y**4 + c*y + x*y**3 + w + d*y**2 and give x.
-1
Express (0 - 2 + 3)*(2 + 2 - 3)*(-1 + 1 - 3)*(1 - 2 + 3 + 6*a) in the form l*a + k and give l.
-18
Express 5*t - 21*t**2 + 5*t - 63*t**2 - 11*t - 32*t**2 in the form g*t**2 + b + o*t and give o.
-1
Rearrange 21 + 4*o**2 - 2*o**3 - 4*o**2 - 181 to i*o**2 + z*o + k + a*o**3 and give a.
-2
Express 379*s**2 - 543*s**2 + 1 - 1 + 5 - 4 as q*s**2 + t + y*s and give t.
1
Rearrange -1093*m + 448*m - 174*m to the form q*m + a and give q.
-819
Express (3 + 1 - 12 - 1)*(-17 + 17 - 3*r) in the form n + s*r and give s.
27
Express 344 - i**3 - 418 + 0*i**3 in the form n*i + o*i**3 + x + w*i**2 and give x.
-74
Express 117 + 13*j**2 + 5*j**2 - 113 + 13*j**2 in the form q + s*j + v*j**2 and give v.
31
Rearrange (-2 + 2*h**2 - 2*h**2 + h**2 - h)*(26 + 21 - 56) to the form y + r*h + g*h**2 and give r.
9
Rearrange -176*z**3 + 2*z**2 + 1 + 2*z + 177*z**3 - z**4 - 4*z - z**2 to the form a*z**2 + g*z**3 + j*z + h*z**4 + d and give a.
1
Rearrange l**2 + 7*l**4 + 3*l**4 + 1 + 16*l**4 + 9*l**4 - 30*l**4 - 2*l to the form z + i*l**4 + w*l + v*l**2 + q*l**3 and give v.
1
Express -8*a**4 + 0*a**3 - 100*a**2 - 2*a**3 + 19*a**2 - 14 + 80*a**2 as r*a + i*a**3 + l*a**4 + w + m*a**2 and give m.
-1
Rearrange 2*z**3 - 4*z + 4*z - 3*z + (-3 + 2 - 1)*(74 - 74 - z**3) to the form a*z**3 + o*z**2 + k*z + s and give k.
-3
Rearrange 76 + 91 - 82*d + 90 - 245 to the form h + q*d and give h.
12
Express (0*p - 4*p + 2*p)*(5 - 3 + 0) - 293*p + 113*p + 106*p as w + s*p and give s.
-78
Rearrange (-2 - w**2 + 4*w**2 - 4*w**2)*(-1 + 4 - 32*w + 9*w) to p + r*w**2 + u*w**3 + q*w and give q.
46
Rearrange (-3 + 0 + 2)*(-69*i**4 + 146*i**4 - 67*i**4) to the form p*i**2 + y*i**4 + r*i + n*i**3 + f and give y.
-10
Express 205*i + 8 - 104*i - 102*i + i - 2*i + 3*i + i - 2*i + 3*i + i - 2*i - i + i - 6*i + 3*i + (-3 + 2*i + 3)*(-2 - 2 + 6) + 1 + i - 1 as t*i + v and give t.
4
Express (-2*o**4 + 0 + 0)*(-4 + 2 + 3) + o**4 - 15*o**2 + 1101*o + 1 - 1101*o in the form u*o**4 + s*o**3 + f*o**2 + v + g*o and give u.
-1
Express (-5 + 4 + 0)*(5*x - x - 2*x)*(-3 + 0 + 1) + 24*x - 2*x + 103*x + (3*x - 6*x + 2*x)*(-3 + 0 + 1) + x - 2*x + 2*x in the form h + u*x and give u.
132
Express -4*l**4 + l**3 + 9*l**4 + 115 + 103*l - 118 - 3*l**4 in the form y*l**3 + s*l + q*l**2 + f*l**4 + n and give s.
103
Express (-6 - 15 + 7)*(-4 + 2 - 14)*(-3 + 3 - t) in the form b*t + y and give y.
0
Express (2*l - 2*l + l)*(5*l**2 - 4*l**2 + 9*l**2 + (-3*l + 6*l + 3*l)*(3*l + l - 3*l)) in the form b + t*l + k*l**2 + f*l**3 and give f.
16
Express 3 - 2*h**2 - 3 + (1 - 1 + 4*h)*(6 + 0 - 2)*(7*h - 3*h + 14 - 6*h) as w*h + c*h**2 + y and give y.
0
Express -b + 1 - 1 + (1 + 0 - 3)*(-2 + 2*b + 2) + 2*b + 2*b + 3*b - 2 + 2 + 9*b + (2 - 2 - 1)*(6*b - 5*b - 2*b) in the form c*b + a and give c.
12
Express -23*q + 67 + 21*q - 43 + 48 as m*q + n and give m.
-2
Rearrange 155*w**2 + 12*w**2 + 698*w**2 + 450*w**2 to f*w + a*w**2 + j and give a.
1315
Rearrange -9*d**2 + 0 + 60*d**2 + 236*d**2 + 0 to the form b + i*d + j*d**2 and give j.
287
Rearrange (1 - 1 - 2*v)*(0 + 0 - 2*v**3) + 0*v**4 + 0*v**4 - v**4 + 623*v**4 - 3*v**2 - 91*v**4 + 3*v**2 to q + c*v**2 + t*v**3 + s*v**4 + u*v and give s.
535
Rearrange (-3*y**3 + y**3 + y**3)*(-1360 - 1646 + 2683)*(0 + 2 + 0) to i*y**3 + u*y + o*y**2 + l and give i.
646
Rearrange (-242*l - 151*l + 306*l)*(0 + 3 - 4) to the form j + y*l and give y.
87
Rearrange -49*u + 1 - 45*u + 82*u - 21*u to j + l*u and give l.
-33
Express (-539*y**2 - 124*y**3 + 76*y**3 + 46*y**3)*(-y + y + y) as r*y**3 + c*y + k*y**4 + a*y**2 + v and give k.
-2
Rearrange (-3 - 3 + 3)*(2 - n - 2) + n - 2*n + 4*n - 3*n + 0 + 0 to the form m + d*n and give d.
3
Express 12738 - 12738 - 229*p in the form i*p + u and give i.
-229
Rearrange q**2 + 1 - q**4 - 2 + 15*q**3 + 3*q**4 - 17*q**3 to s*q**2 + c*q**3 + a + x*q + u*q**4 and give c.
-2
Rearrange -13 + 73*j - 3 + 70*j - 211*j + 70*j to the form d*j + p and give p.
-16
Express 2*j**4 + j - 78*j**3 + 0*j**4 - 46795 + 46794 as x*j**2 + y*j**3 + n + p*j**4 + c*j and give y.
-78
Rearrange (1 + 0 + 2)*(u - 2 + 2) - 19*u + 112*u + 251*u to y + i*u and give i.
347
Express -2*q**2 + 0*q**2 - 4*q**2 - q**2 + 4*q**2 - 203*q in the form k + o*q + z*q**2 and give o.
-203
Express -13 - 11 + 9 - 6*o**3 + o**3 - 3*o**3 in the form l*o**2 + f*o + g + s*o**3 and give g.
-15
Express 1 + 6*n**2 + 77*n**4 - 3*n**2 - 72*n**4 in the form t*n**4 + f*n**3 + g*n**2 + p*n + v and give t.
5
Rearrange d**3 + 2 + 40 - 50*d - 40 to the form l*d + g + h*d**2 + j*d**3 and give g.
2
Rearrange 3*p - 3*p + 20*p**3 + 12*p**2 - 6*p - 16*p**2 to the form g*p**3 + v + o*p**2 + k*p and give g.
20
Express 4*m**3 - 3*m**3 + 8 + 5*m**4 - 4*m - 11*m**4 - m**2 + 8*m**4 + 5*m as i*m**2 + k + x*m + z*m**4 + g*m**3 and give x.
1
Rearrange -149*c**2 - 51*c**2 - 210*c**2 + 26*c**2 - 113*c**2 to m*c + l + k*c**2 and give k.
-497
Express (c - 1 - c**2 + 4*c**2 - c**2)*(-45 - 35*c + 45) - 5*c**2 - 21*c + 21*c - 4*c**3 as i*c + z + r*c**3 + h*c**2 and give h.
-40
Rearrange 3*b**2 + 9652*b - 3*b**3 + b**2 - 9654*b to the form v*b**3 + x*b + r*b**2 + m and give m.
0
Rearrange -7*k + 6*k - 9*k + 6*k**2 - 2*k - 3*k to u*k**2 + d*k + p and give u.
6
Express 18 - 9 - 7 + 5*j + 2*j**2 - 2 in the form l*j**2 + y + s*j and give l.
2
Express (23*k**2 + 3 + 4963*k - 2480*k - 2484*k)*(0*k + 0*k + k)*((-2 + 2 + 1)*(-1 + 6 - 3) + 3 - 2 + 0 + 0 + 2 + 1) as u*k**2 + v*k + l*k**3 + f and give u.
-6
Rearrange (-2*a - 4 + 4)*(-2*a + 2*a + 3*a**2)*(-10*a + 37*a + 26*a) to the form y*a**2 + t*a**4 + h*a**3 + k + w*a and give w.
0
Express -14*f**3 - 15*f**3 - 1 + 121*f**3 + 81*f**3 as v*f**3 + h*f + m + s*f**2 and give s.
0
Rearrange p**2 - 766 - 755 - p**4 + 3*p**3 + 1494 to the form q + n*p + g*p**4 + b*p**2 + u*p**3 and give g.
-1
Rearrange -4832 + 2417 + 2419 + 9*v to m*v + f and give m.
9
Rearrange (-5 + 4 - 1)*(114 - 1514*i + 101 - 215) to the form v + k*i and give k.
3028
Rearrange -2*y + 2*y - 60*y**2 - 55 - 32 + 62*y**2 to the form i + f*y**2 + z*y and give i.
-87
Rearrange -y**3 + 3*y**3 + 0*y**3 - y**2 + (0*y**3 - y**3 + 3*y**3)*(0 - 1 + 2) + 158*y**2 + 7*y**3 - 158*y**2 to d*y + c*y**2 + t + n*y**3 and give c.
-1
Express (-14*r**3 + 6*r**3 - 12*r**3)*(12*r + 6*r + 27*r) in the form q*r**2 + k*r + f + s*r**3 + l*r**4 and give l.
-900
Express 23*i - 5 + 3 - 1 + 2 as o + p*i and give p.
23
Express (0*k + 0*k + 2*k)*(1 - 2*k**3 - 1) + (9*k**2 + 4*k**2 - 4*k**2)*(-5*k**2 - 4*k**2 + 2*k**2) as s*k**4
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Suppose 0 = -8*n + 13*n - 10. Suppose 3*c + 5*v = 69809, 5*c - n*v - 116307 = -0*v. Suppose -m + 8261 = 2*p, -5*m = -4*p - 6706 + c. Is p composite?
False
Let w(d) = -2*d**2 + 7*d + 6. Let a be w(4). Suppose a*c + 4*o - 3*o = 371, -4*o - 760 = -4*c. Let z = c + -118. Is z composite?
True
Suppose 0 = 2*o - 0*b - 2*b + 4970, 0 = 5*o - b + 12425. Let d(m) = 2*m**3 + 106*m**2 - 77*m + 66. Let n be d(-54). Let p = n - o. Is p prime?
True
Suppose 425*p - 492*p = -22014659. Is p prime?
False
Suppose 105*l = 108*l. Suppose 31*x - 25*x - 56346 = l. Is x prime?
True
Let z = -675441 - -1003240. Is z prime?
True
Suppose -4*s + 3*a + 751466 = 0, -5*s + 14*a + 939343 = 12*a. Is s a prime number?
True
Let m be (-19)/(-171) - 412/(-18). Let u = 48 - 14. Let v = u - m. Is v composite?
False
Let p = 74 - 73. Let s(a) = 17*a**3 - 2*a**2 + 2*a - 2. Let d be s(p). Is ((-18)/15)/((-6)/d) - -284 a composite number?
True
Suppose -2*u - 2 = 0, -5*u + 59633 = 33*a - 31*a. Is a a prime number?
True
Is (17 - (-44 + 50)) + 1940760/2 a composite number?
False
Is (-380704)/(-16) + 9 + 10 composite?
False
Suppose 0 = 2*b - 0*b + 296. Let q be 88/(-9) + 170/45 + -4. Is b*17/q + 6/(-10) a composite number?
False
Suppose -658526 = 47*f - 69*f. Is f a prime number?
False
Suppose 62*v - 5492 = 54*v + 1065636. Is v a prime number?
False
Let f = 944 + -71. Let i = f - 482. Is i composite?
True
Is (((-3644)/3)/2)/(54/(-3483)) + -6 a prime number?
False
Suppose 161*x - 166*x + 25 = 0. Suppose -o - 1115 = -m, 8*m - x*o = 4*m + 4458. Is m a prime number?
True
Suppose 0 = -3*u, 2*b + 9 = -b - 5*u. Let x be (-8)/b*210/40. Is (x/3)/1*(-942)/(-4) prime?
False
Let y be (10/15)/((-4)/6) + 6. Suppose 107155 = y*r + 13970. Is r prime?
True
Is 177095 - 0/(6/12*-1*-4) composite?
True
Let v = 250287 + -86950. Is v a composite number?
False
Suppose -3*b = -4*u + 15, 4*u = 8*b - 3*b + 17. Suppose 5*f - 4*v = 9961, -u*f - 1328 = -2*v - 7305. Is f prime?
True
Suppose 3*p - 60 = -3*j, 5*j - 3*p + 5*p - 94 = 0. Suppose -3*m + j*m = 130575. Is m a prime number?
False
Suppose c + 20 = -3*q + q, 45 = -2*c - 5*q. Let u be 1168/2 - (c + 7). Let w = u + 255. Is w a composite number?
True
Let o(s) = -5103*s - 128. Is o(-5) a composite number?
True
Suppose 4*i + 8*s - 6948 = 1964, 2*s = -10. Suppose w + 0*w - 3 = 0. Suppose k = w*k - i. Is k a composite number?
True
Let r(f) = -f - 41. Let i be r(-13). Let d be -2 - 21/(-9) - i/6. Suppose -d*v = -z + 2*z - 3163, -4*z = -4*v - 12604. Is z a composite number?
True
Suppose -33*q - 33*q + 2326566 = 0. Is q a prime number?
True
Let h(n) = -4*n - 7. Let m be h(-3). Let y(s) = s**3 + 6*s**2 - 7*s. Let u be y(-7). Suppose 8*c - 602 = m*c + a, -2*c - a + 393 = u. Is c prime?
True
Suppose -24188166 + 67049560 + 25798732 = 134*m. Is m composite?
False
Let k(w) = -341*w + 255. Let s(n) = n**2 + 24*n + 98. Let u be s(-18). Is k(u) a composite number?
True
Suppose -2*w + a + 27 = 0, 5*w = 4*w - 2*a + 11. Is 7265/w + 30/195 a prime number?
False
Let k(h) = 47*h**2 - 4*h - 4. Suppose 0 = -6*j + j - 5*q - 5, 10 = 2*q. Let o be k(j). Suppose 0 = -5*b + o - 597. Is b a prime number?
True
Let m = 520 + -1316. Let j = m - -1205. Is j composite?
False
Let v(u) = -456*u + 125. Let b be v(-6). Let l = b + -1672. Is l a prime number?
False
Is 60/11 - -1*(-54)/(-99) - -18001 prime?
False
Let l = -720 - -1302. Suppose -a + 994 = 2*a + i, -4*a + 1326 = 2*i. Let k = l - a. Is k a composite number?
False
Let h(w) be the second derivative of 13*w**4/12 - 11*w**3/6 - w**2/2 + 1476*w. Let t = 5 + -10. Is h(t) a prime number?
True
Suppose -5*g = -2*l - 769949, -2*g - 322*l + 307979 = -323*l. Is g prime?
True
Let r be (-4)/34 + (1440/102 - 9). Is 17*r/(25/485) prime?
False
Let h(s) = 930*s - 6313. Is h(85) composite?
True
Suppose 5*c = 3*n + 7466 - 124448, 5*n = 4*c + 194957. Is n prime?
False
Suppose -5*i = 5*o - 1039585, 2*o + 831644 = 20*i - 16*i. Is i a prime number?
False
Let i = -15483 + 23378. Let v be 81/(-1*(-2)/146). Suppose f = -3*x - f + v, i = 4*x - f. Is x a prime number?
True
Let l(k) = -2*k**3 + 13*k**2 + 8*k + 20. Is l(-27) a prime number?
True
Let h be (-369)/(-15) - 4/(-10). Let g be 4/(3*246/(-234) + 3). Let a = h - g. Is a composite?
True
Let q = -119799 + 168238. Is q a composite number?
True
Let h be (-4)/6*171/(-38). Suppose -218 = -b + 4*z, 4*b + 0*z - 872 = h*z. Is b composite?
True
Let d(t) be the second derivative of t**3/6 - t**2/2 - 13*t. Let m be d(0). Is (8*m)/(-2) + 629 a prime number?
False
Let y = 24340 + -10068. Suppose 0 = -2*m + 13942 + y. Is m prime?
True
Suppose 69*x - 24086860 = 61*x - 132*x. Is x a composite number?
False
Is (2 + -1 + 0)*(0 + 55604 - 1) a composite number?
False
Let u(j) = 12*j - 46. Let z be u(4). Suppose 4*f = z*t - t - 2283, 0 = t - 5*f - 2281. Is t a prime number?
False
Suppose 57*f - 71*f = -1289246. Is f a prime number?
False
Let y(t) = t + 6. Let g = 53 - 65. Let p be y(g). Is p/(-2)*(-21126)/(-18) prime?
False
Let a be (4/2)/(-2 - 30/(-12)). Suppose 3*n - 7830 = -4*h, -7832 = -4*h + 2*n - a*n. Is h a composite number?
True
Suppose l + 9 = -3*f + 4, -3*f - 3*l - 15 = 0. Suppose -3*h + f*h = -996. Suppose 0 = k + d - 342, 2*k - 3*k = -d - h. Is k prime?
True
Let s be (-6 - -9)*(-3681)/(-1). Let d = 15536 - s. Is d composite?
False
Let x = 109 - 85. Suppose 0 = 28*u - x*u + 8. Is 3*(3715/15 - u) a prime number?
False
Suppose -3*f = -2*v + 2, f = -0*v + v. Let r be 3 - 10*1/f. Let l(h) = 20*h**2 - 13*h + 11. Is l(r) composite?
False
Let o(h) = 123*h**2 + 16*h + 7. Let r(j) = 370*j**2 + 45*j + 19. Let u(d) = -8*o(d) + 3*r(d). Is u(-2) a composite number?
False
Let x(o) = 2967*o**2 - 16*o + 98. Is x(-5) a prime number?
True
Suppose 0 = -3*s + 6*s - 9. Suppose 7 = s*w - 5*z, 2*z - 3 = -3*w - 10. Is 280/(2/1) + 3 + w a prime number?
False
Let v = -139 + 59. Let j = 78 + v. Is (-1)/(-2)*(-909 + j)*-2 composite?
False
Is 23052100/203 + (-2)/14*(3 - 2) composite?
False
Let g(p) = 370*p**2 - 118*p - 503. Is g(-20) prime?
False
Is (-1)/17 - 2902174/(-901) composite?
False
Let r = -94 - -101. Suppose r*k - 99 = -1079. Let x = k + 1777. Is x prime?
True
Let v be 15/6 + (-1)/2. Let j(q) = -3*q + 134*q**2 + 109*q**2 + 3 - 29*q**2. Is j(v) a composite number?
False
Let n = 59836 + -31685. Is n a composite number?
False
Let o(z) = z - 2. Let c be o(14). Let f be (-37348)/14 - c/42. Is 11/33 - f/6 a prime number?
False
Let r be (-69)/15*(-9 - -4). Let q = r + -12. Suppose 0 = q*m - 6*m - 2065. Is m a prime number?
False
Suppose -3*k = 3*y + 4645 - 49912, -3*k + 4*y + 45281 = 0. Is k a composite number?
False
Let r(f) = 161*f**2 - 115*f + 1681. Is r(40) a prime number?
False
Let j = 185 + -70. Let q(w) = -w**3 + 5*w**2 + 8*w - 35. Let f be q(5). Suppose -f*p + j = -370. Is p composite?
False
Let j(t) = -t**3 + 11*t**2 + 3*t - 10. Let s be j(8). Suppose s*f - 212*f + 3516 = 0. Is f a prime number?
False
Let k = 551 - 543. Suppose -6*w + 16175 = s - k*w, 2*s + w - 32370 = 0. Is s a prime number?
True
Let v(d) = 108*d**3 - 2*d**2 - 20*d + 17. Let k be 4/26 + 200/52. Is v(k) prime?
False
Suppose -11*j - 68 + 134 = 0. Suppose j*b - 5*n - 24263 = 0, n - 8711 + 626 = -2*b. Is b prime?
False
Suppose 151634 + 54679 = m - 4*t, 0 = 5*m + 4*t - 1031493. Is m prime?
False
Let z(i) = 587*i**3 + i**2 + i - 3. Let y(f) = -f**3 + f - 1. Let q(j) = y(j) - z(j). Let n be q(-2). Suppose 0 = 4*o - 13346 + n. Is o prime?
True
Let t(a) = -a**3 - 5*a**2 - 11*a + 20. Let x be 8/14 - (-16)/(-28). Suppose -14*c + 7*c - 63 = x. Is t(c) composite?
False
Let d(q) = q**2 - 75*q - 25. Let m(y) = 3*y**2 - 243*y - 76. Let r(p) = -7*d(p) + 2*m(p). Suppose 0 = -5*g - 17 + 107. Is r(g) a composite number?
False
Let i = 86 - 86. Let x(u) = u**3 + 84 + i*u**2 - 2*u - 5*u**2 - 87. Is x(6) a composite number?
True
Let i(d) = -96*d**2 - 177*d + 446. Let j(c) = -34*c**2 - 59*c + 149. Let y(g) = 6*i(g) - 17*j(g). Is y(46) prime?
False
Let o be 168/96 - 10/(-8). Is (1/o)/(50/1666950) composite?
False
Suppose -g = -37*g + 963756. Is g prime?
False
Suppose 5 = -d + 2. Let a = d + 3. Suppose 5*h + 4*y - 2065 = 0, 4*h - 2*h + 3*y - 833 = a. Is h prime?
True
Let i(o) = 153*o**2 + 38*o + 10. Is i(3) a composite number?
True
Let t(a) = 888*a + 3005. Is t(18) prime?
False
Let k(c) = 40*c**3 - c
|
{
"pile_set_name": "DM Mathematics"
}
|
*v**3*x + 206*u*v**3*z - 2*u*v**2 - 4*v**3 - 24*x with respect to z.
105*u*v**3*x + 206*u*v**3
What is the second derivative of 24992*k**4 - 13*k**2 - 1978311*k wrt k?
299904*k**2 - 26
Find the third derivative of 59*h*v**5 - 71*h*v**4 + h*v**3 - 178*h*v**2 + 2*h + 4*v**2 - 13*v wrt v.
3540*h*v**2 - 1704*h*v + 6*h
Differentiate -16*z**3 + 126*z**2 + 2*z - 22674 wrt z.
-48*z**2 + 252*z + 2
What is the second derivative of -1543*d*v**4 + 63*d*v + 4*d - v**4 + v**2 - 10 wrt v?
-18516*d*v**2 - 12*v**2 + 2
Find the first derivative of 306324*c**2*u**4 + 368553*c**2 - c + 2 wrt u.
1225296*c**2*u**3
Find the second derivative of 567*o**3 - 18*o**2 - 78530*o.
3402*o - 36
Find the third derivative of -31471*i**5 + 24*i**4 - 307*i**2 - 54.
-1888260*i**2 + 576*i
Find the second derivative of -29251*v**3*x**3 + 2*v**3*x + 2*v*x + 2255 wrt x.
-175506*v**3*x
What is the first derivative of -189*f*x**4 + 18*f*x**3 + 2*f - 9421 wrt x?
-756*f*x**3 + 54*f*x**2
What is the third derivative of 119*f**5*u**2 + 257*f**5*u - f**2*u + 343387*f*u**2 wrt f?
7140*f**2*u**2 + 15420*f**2*u
What is the derivative of -64776*h**3 + 2*h - 1016259 wrt h?
-194328*h**2 + 2
What is the second derivative of 313285*m**2 + 6*m + 1088?
626570
Find the third derivative of -26190*x**5*z**3 - 41*x**2*z + 37*z**3 wrt x.
-1571400*x**2*z**3
Find the third derivative of -21315*n**5 + 12013*n**2 - 3*n.
-1278900*n**2
What is the second derivative of -640*o**2*t - 215*o**2 + 45118*o*t + 3*o + t wrt o?
-1280*t - 430
Find the second derivative of 1199792*o**4 + 46166*o - 1.
14397504*o**2
Find the third derivative of -3*y**6 - 5*y**5 - 78*y**4 + 2*y**2 + 240*y - 2 wrt y.
-360*y**3 - 300*y**2 - 1872*y
Find the third derivative of 158763*d**6*t + 2*d**5*t - 457*d**2 - d*t - 341*d wrt d.
19051560*d**3*t + 120*d**2*t
What is the second derivative of 15*x**5 + 33*x**3 - 3*x**2 - 41997*x?
300*x**3 + 198*x - 6
What is the first derivative of 89*k*n**3 + k*n - 28*k*s + 6387*n**3*s - 6*n**2*s wrt k?
89*n**3 + n - 28*s
Find the second derivative of -1990688*n**5 - 1649*n + 103 wrt n.
-39813760*n**3
Find the third derivative of -2718985*a**3 - 1884*a**2 + 89 wrt a.
-16313910
Differentiate 5935*d**3 - 3*d - 66266 with respect to d.
17805*d**2 - 3
Find the second derivative of -10873*s**4 - 7*s - 491.
-130476*s**2
Differentiate -4*l*r*v**3 - 8810*l*v + 53*r*v**3 + 67*r*v**2 + 13*v**3 wrt r.
-4*l*v**3 + 53*v**3 + 67*v**2
What is the third derivative of -16099*i**3*w**3 - 2*i**3*w**2 + 4*i**3*w - 406*i**3 + i**2*w**3 + 3*w**2 wrt w?
-96594*i**3 + 6*i**2
Find the third derivative of 190440*h*k**6*y - 14*h*k**2*y**3 - 6*h*k**2*y + 3*h*y**2 - 3*k**4*y**3 - 3*k**2*y**2 - k*y**2 + 19*y wrt k.
22852800*h*k**3*y - 72*k*y**3
Differentiate -128*p**3 - 4935*p*r - 756*r - 831 wrt p.
-384*p**2 - 4935*r
Find the third derivative of 715374*l**3*r**3 - l**3*r**2 + 5*l**2*r**2 + l**2*r + 7*l*r - 110*r**2 wrt r.
4292244*l**3
Differentiate -504143*y + 302232.
-504143
Differentiate -3*q**2 - 472*q - 29378 with respect to q.
-6*q - 472
What is the second derivative of -2*s**5 - 560*s**2 - 328290*s?
-40*s**3 - 1120
What is the third derivative of -100799*k**3 + 297629*k**2?
-604794
Find the second derivative of 247951*y**5 + 13704*y.
4959020*y**3
Find the third derivative of -434122*m**4 - 6*m**2 + 48813.
-10418928*m
Find the second derivative of 413879*h**2 - 369*h - 551 wrt h.
827758
Differentiate -8*j**4 + 31*j**3 - 16*j**2 + 26*j + 2521030 wrt j.
-32*j**3 + 93*j**2 - 32*j + 26
Find the first derivative of -2560991*s*v**3 + 137*v**3 + 9*v**2 - 15*v + 1 wrt s.
-2560991*v**3
What is the third derivative of -s**5 + 9270*s**4 + 2*s**3 + 1231*s**2 - 2*s + 16 wrt s?
-60*s**2 + 222480*s + 12
Find the third derivative of -40548*u**5 - 89*u**2 + 82*u - 2 wrt u.
-2432880*u**2
Find the third derivative of 5420*w**4 - 27702*w**2.
130080*w
Find the second derivative of 2*r*y**2 + 2*r*y - r - 1503*y**2 + 1082*y wrt y.
4*r - 3006
What is the second derivative of -2277608*z**5 + 1487534*z?
-45552160*z**3
What is the third derivative of 3*a**3*b*p - 3*a**3*b + 33*a**3*p - 283*a**3 - 4*a**2*b*p + 5*a**2*b - 2*a**2 + 103*a*b*p + 2*a*b - 2 wrt a?
18*b*p - 18*b + 198*p - 1698
What is the first derivative of -5182*i*k**2 - 2*i*k*p**2 - 35*k**2*p**2 + k - 35*p**2 - 12 wrt i?
-5182*k**2 - 2*k*p**2
Find the third derivative of -12*c**5 - 1569*c**3 - 1023*c**2 - 2*c - 25 wrt c.
-720*c**2 - 9414
What is the third derivative of 24571*d**6 - 149638*d**2?
2948520*d**3
What is the derivative of 7203835*r**3 - 4190055 wrt r?
21611505*r**2
Find the third derivative of -c**4*x**2 - 1385*c**3*x**3 - 72104*c**2*x**3 + 2*c**2*x - c**2 wrt c.
-24*c*x**2 - 8310*x**3
Find the second derivative of -3*g*v**2*z**3 - 382*g*v**2 + 27101*g*v*z**3 + 10*g*z - z wrt z.
-18*g*v**2*z + 162606*g*v*z
What is the derivative of 9*f**4 + 36*f**2 - 893*f - 3749125 wrt f?
36*f**3 + 72*f - 893
What is the third derivative of -520517*w**3 + 617148*w**2?
-3123102
What is the second derivative of -113*g*j**2*t - 1458*g + 159*j**4*t + 10*j*t wrt j?
-226*g*t + 1908*j**2*t
Find the second derivative of 10313*b*f**2 + b*f - 8*b - 2*f**5 - 5*f + 30 wrt f.
20626*b - 40*f**3
What is the third derivative of 2*g**6 + 2*g**5 + 3124*g**3 + 158*g**2 - 137?
240*g**3 + 120*g**2 + 18744
Find the third derivative of -3*g**5 + 35*g**4 - 83*g**3 - 82*g**2 - 99*g - 2.
-180*g**2 + 840*g - 498
Find the second derivative of -f**3*q**2 - 15*f**3*q + 895*f**2*q**3 - 25485*f*q**3 + 2*f*q**2 wrt f.
-6*f*q**2 - 90*f*q + 1790*q**3
Differentiate d**3*q - 3508*d**2 + 111*d + 2983890*q with respect to d.
3*d**2*q - 7016*d + 111
Differentiate -f**2*t + 244*f**2 + 22*f*t**2 + 148*f*t - 28*f wrt t.
-f**2 + 44*f*t + 148*f
Differentiate -13*n**4 + 7948*n**2*o**2 + 2*o**2 - 2*o - 24837 with respect to n.
-52*n**3 + 15896*n*o**2
Find the first derivative of 175784*m**3 + 112219 wrt m.
527352*m**2
Differentiate 2273470*f**4*m + 2*f**3*m - 6103568*m with respect to f.
9093880*f**3*m + 6*f**2*m
What is the first derivative of -186498*c*q**3 + 2*c*q**2 - 1468280*c + 3*q wrt q?
-559494*c*q**2 + 4*c*q + 3
Differentiate -4792*x**2*z - 3*x**2 - 5*x*z**2 - 769732*z**2 wrt x.
-9584*x*z - 6*x - 5*z**2
Find the second derivative of 612448*r**5 + 706164*r.
12248960*r**3
Find the second derivative of -17256*c**4 + 1223783*c.
-207072*c**2
What is the second derivative of -383340*s**2 + 3853*s + 3?
-766680
Find the second derivative of 16*j**2*n**2 - 14*j**2*n - 3*j**2 - 13015*j*n**5 - 403*j*n + j + 2*n wrt n.
32*j**2 - 260300*j*n**3
What is the derivative of -133380*d**2*u - 5*d**2 + 2*u - 7445 wrt u?
-133380*d**2 + 2
Differentiate 53330*i*j**2 + 132*i - j**3 + 106 with respect to j.
106660*i*j - 3*j**2
What is the first derivative of -2*j**4 + 3503*j**3 - 14*j + 339662?
-8*j**3 + 10509*j**2 - 14
Differentiate 371390*a*t**2 - 6*t**2 - 8909*t - 3 with respect to a.
371390*t**2
What is the second derivative of -2232259*d**2 - 4*d - 58146?
-4464518
Find the first derivative of -3*d**3 + 10*d**2 - 157*d + 255714.
-9*d**2 + 20*d - 157
Find the second derivative of 1852488*m**3 + 96*m + 11290.
11114928*m
What is the third derivative of -719211*c**3 - c**2 + 8*c + 10183 wrt c?
-4315266
What is the third derivative of -9639*v**2*x**3 - 6647*v**2*x**2 - 4 wrt x?
-57834*v**2
Find the second derivative of -5351*h**2 + 29400*h.
-10702
What is the derivative of -387105*m**3 + 73906?
-1161315*m**2
What is the second derivative of -430*a*i**2 + 35*a*i - 2*a + 3*i**2 + 2*i - 177 wrt i?
-860*a + 6
Find the third derivative of -483120*h**3 - 193988*h**2 wrt h.
-2898720
Find the second derivative of 9104*j**3*r**2 - 13*j**2*r**2 + 12*j*r**2 - 4*j*r - 192*j - 2*r**2 wrt j.
54624*j*r**2 - 26*r**2
Find the second derivative of 153*f*p**5 - 2*f*p + 6*f*z - 231*p**4*z - 3*p*z - 2*z - 57 wrt p.
3060*f*p**3 - 2772*p**2*z
Differentiate 9112*b**2 - b*f**3 + 21*f**3 - 578*f**2 with respect to b.
18224*b - f**3
Find the third derivative of 12622*a**3 - 5717*a**2 + 12*a wrt a.
75732
What is the derivative of 607*n**4 - n + 558711?
2428*n**3 - 1
Find the second derivative of -9*q**3 + 1621*q**2*u + 2*q*u + 1798*q + 3*u + 4 wrt q.
-54*q + 3242*u
What is the third derivative of -842*d**4 - 25*d**2 + 391 wrt d?
-20208*d
Find the third derivative of -2*k*u**5 - 19015*k*u*
|
{
"pile_set_name": "DM Mathematics"
}
|
What is (112 - 209 - -6) + 132?
41
What is 3 + 2 + (17 - (-43 - -26))?
39
What is the value of -26 + (83 - -2 - 27) + 15?
47
What is 63 - (51 - -16 - -66)?
-70
Evaluate 12 + (-15 - (17 + -7)) - (-107 - 2) - -8.
104
Evaluate -81 + 7 - 25 - -51.
-48
-8 - (0 + 1 + -12 + (-21 - -25) + 7)
-8
-3 + 0 + -126 - (-7 - (8 - (-29 + 39)))
-124
What is (13 - 17) + -6 + -7 + 100?
83
What is (-40 - -28 - -69 - 45) + (1 - (2 + -54))?
65
What is the value of (24 - (-23 - -66)) + 46 + -52?
-25
What is (5 - -110 - 222) + 88?
-19
What is the value of 134 + (-40 + 59 - 72)?
81
Calculate -26 - (-10 - 3) - (2 + -9 - 3).
-3
What is -46 - (-46 + -30 + 34)?
-4
Calculate -110 + 121 + -29 + 53 + -1.
34
Evaluate -3 - (-16 + 31 - 7 - -32).
-43
(56 - 15) + -47 + -10 + -2
-18
(3 + 1 - -14 - -72) + (-3 - (0 - 5))
92
What is (7 - (0 + 3)) + (13 + -56 - 72)?
-111
Calculate (-10 - (-7 - 0)) + 33.
30
What is the value of 35 + -45 + 23 + -2 + 3 - -54?
68
What is 0 + (69 - -2) - (0 + -30)?
101
What is the value of 9 + -1 - -1 - (-2 - (-149 + 112))?
-26
What is -30 - (-31 + 17) - (2 + -19)?
1
(-7257 - -7304) + -1 + -20 + 2
28
What is the value of (-6 - -4) + -52 + 6 + 55?
7
Calculate (15 - 11 - 4) + (8 - (35 - 11 - 11)).
-5
What is the value of (23 - (5 - 20)) + 2 + (-3 + 6 - 1)?
42
What is 56 - 7 - 8 - 31?
10
What is the value of (15 + (-30 - -24) - 24) + 72?
57
Calculate (-116 - 11) + 88 + 163.
124
Calculate -72 - ((-942 - -932) + 14 + -1 + -2).
-73
What is the value of 42 + (-99 - (47 - 90)) - -3?
-11
What is 1 + (1 - 8) - ((-191 - -41) + 154) - -43?
33
Calculate 10 + 3 + 5 + -17 + -38.
-37
What is the value of (7 + -2 - 8 - (5 + -9)) + (15 - -51)?
67
Evaluate 28 - (22 + -19 + -3 + 100).
-72
What is (-101 - -88 - 85) + 87?
-11
(3 - (0 + 17 + -4 + -12)) + -2 + 77
77
Evaluate 54 + -58 - 16 - -82.
62
Calculate (0 - -6 - -2) + -20 + 21 + -7.
2
Calculate 16 + 6 + 8 + (-45 - -31 - 7).
9
Evaluate -35 + 36 + (1 - -11) + -5 + -55.
-47
Evaluate 20 + -20 + -23 - (-8 - 2) - -8.
-5
What is the value of 4 + (10 - (-72 + 100 - (-1 + 10))) + 8?
3
Calculate 8 + (-1 - 5) + 4 + (66 + -31 - 0).
41
What is 1 + (-21 - -16) + (5 - (3 - 4) - 11)?
-9
What is the value of (56 - 34) + 53 + -45 + (7 - -2)?
39
What is the value of -12 + (-9 - -4) - (-103 + 68)?
18
5 + 3 + -33 + -5 + (9 - 12)
-33
83 + -18 + -102 - (41 + 16)
-94
Evaluate (0 - 29) + -2653 + 2656 + 129.
103
Calculate 10 + (-8 - (-42 - 7) - 37).
14
Calculate 62 + (-42 - 13) + 56.
63
Calculate -5 - 42 - ((23 - 1) + -26 - (-2 - 5)).
-50
71 - ((-89 - -61) + 72)
27
Calculate -22 + (107 + -102 - (22 - 1)) + -79.
-117
Evaluate (12 - 0) + -35 - (5 - 9 - -11).
-30
-6 + (44 - 14) - (11 + (-5 - -3) + -3)
18
-64 + 31 - (-25 + -26 + 8)
10
Evaluate 31 - ((-9 - -14) + 6) - (5 - 0) - -3.
18
Evaluate (-10 - 3) + (1 - -42) + -12 + -3.
15
Evaluate (-178 + 0 - -104) + -28.
-102
What is the value of (-60 - (31 - 75 - 25)) + (-16 - 1)?
-8
What is the value of (-30 + 70 - -16) + 4 + (-19 - -12)?
53
What is -3 - -39 - (615 + -581) - (78 - (1 - -1))?
-74
Evaluate 1 + -2 - -8 - ((-86 - -43) + 29 - -1).
20
Evaluate 30 + 14 + -29 - (-16 - 10).
41
What is the value of 16 - 68 - ((63 - 32) + -43)?
-40
What is the value of -86 - -75 - -95 - (-1 + 1 + 3)?
81
Calculate (-1 - -4 - 13) + -7 - (5 + -3 + -4).
-15
What is (0 - -2) + 79 - ((0 - -36) + 566 + -612)?
91
Evaluate 10 + 40 + -58 - (2 + -2 + 0) - 31.
-39
Calculate (40 - (0 - -33)) + -28.
-21
What is the value of 4 + ((-5 - (-2 + 0)) + -27 - (-26 + 24))?
-24
What is 4 + 42 + (10 - (13 - 3)) + -1?
45
Calculate 94 + -44 + -44 - 46.
-40
What is -34 - -1 - (-1448 - -1448)?
-33
Calculate 35 + (121 - (93 - 18)).
81
Evaluate -59 + -66 + -53 + 201.
23
What is 7 - 47 - (-54 - -16)?
-2
Evaluate (-9 + 12 + (-12 - 8) - -1) + -46.
-62
(6 - 11) + -1 + 11 - (30 - 37)
12
39 + -12 + -66 + 25
-14
Evaluate 23 - 63 - -14 - -44.
18
What is 257 + -222 + (1 - 0 - 2)?
34
Evaluate (-22 - -8) + 108 - 57.
37
What is -186 - ((-32 - 133) + 32)?
-53
What is (-5 - (-2 + -1 - -3 - (-135 + 131))) + 7?
-2
What is the value of (1 - -14) + (-6 + 19 + -6 - 8) + 1?
15
What is 1838 + -1835 + (0 - 26)?
-23
(22 - 8 - 4) + (-46 - -31)
-5
1 + -2 - 2 - (-51 + -5)
53
Evaluate (90 - 41) + -5 + (0 - (2 - -1)) + 0.
41
Calculate 159 + -176 + 34 + -3 + -3.
11
Evaluate -77 - (-6 + -22 + 19 + (-17 - -13)).
-64
-2 + 6 - (1394 + -1441)
51
Calculate 14 - (93 - ((22 - 13) + -20)) - -4.
-86
What is (7 - (16 + (14 + -3 - 14))) + -61?
-67
Evaluate (-14 + 46 - 5) + -23 + -36.
-32
-79 + (21 - (1 - 1))
-58
Evaluate -14 + (73 - 38) + -129 - (-2 + (2 - -2)).
-110
Evaluate -83 - (-14 - (-50 + 82)).
-37
What is (-9 + 3 - -7 - -1) + (-19 + 24 - 8)?
-1
What is the value of -3 - (-3 + -56 + 91)?
-35
What is 9 + -12 - -1 - 50 - (-3 - (3 + -10))?
-56
Calculate (-9 - (-23 + 21) - -27 - 19) + 107.
108
Calculate (-16 - (10 + -44)) + (-28 - 4).
-14
Evaluate (-56 + 59 + (3 - 13) - -4) + 61.
58
What is -16 + -4 - (-7 + 5 + 18) - -15?
-21
2 + -1 + (0 - 0) + (97 + 92 - 224)
-34
Evaluate -1 - -47 - (22 + (3 - 48)).
69
Evaluate 16 + (-8 - (13 + (-5 - 27))).
27
Calculate (-2 + 2 - (-93 + 86) - -5) + 121 - 10.
123
What is -81 + 122 + -38 + -26?
-23
-1508 - -1556 - (-4 - 18)
70
(-25 + 29 + -8 - (-24 - 3)) + -15
8
2 + (3 - 3) - (217 - (362 - 151))
-4
Evaluate -15 + 55 + (21 - -1) + -11.
51
What is the value of -94 + (-451 + 490 - (12 + -2))?
-65
What is the value of -68 + 6 + 12 + 14?
-36
Calculate 104 + (96 - 104) - 167.
-71
Calculate -20 + (-4 - 3) + (-102 - -117) - -94.
82
What is -53 + 25 + -27 + (0 - (-1 - 4) - 1)?
-51
Evaluate (-3 - 1 - -66) + (-24 - (-20 - (10 - 16))).
52
Calculate -7 - -25 - ((4 - -9) + -45 + 28).
22
Calculate -1929 + 1903 - ((-10 - 1) + 2).
-17
Calculate 11 + 25 - (-2 - (17 + -18) - 16).
53
(8 - -21) + (8 + -10 - 6) + 16
37
Calculate 1 + 40 - (-22 - -35 - 4).
32
What is (-11 - -16) + 4 - (59 + 3 + 8 + -21)?
-40
What is the value of -2 + 12 + (-33 - -24) + (11 - 2)?
10
-34 - (38 + (-2 - -38))
-108
What is 6 - (22 - -30 - 35)?
-11
(4 - -38) + -40 + 53
55
What is the value of 7 - (4 - (-91 - -47))?
-41
What is the value of -49 + 2 + 17 + -10 + -4?
-44
What is -13 - (-33 - (-18 - 0) - 2)?
4
What is the value of 4 + 19 + -7 + -3 + 19?
32
What is the value of -7 + (-1 - -4) + (-30 + 25 - 18)?
-27
What is the value of (40 - 0) + -32 + 22 + -7 + 0 + -1?
22
What is 93 + 1 + (-69 + -3 - -52)?
74
What is -325 + 329 + (-2 - (-1 - -2))?
1
-43 + 84 + -21 + (102 - 3)
119
Evaluate 24 + 3 + (489 - 569).
-53
Calculate 105 - (-7 + 23 + 8 + -10 + 5).
86
What is the value of 38 + -8 + 41 + -40 + -150?
-119
(49 - 27 - 40) + 38
20
44 - 4 - -12 - (-2 - -28)
26
Evaluate 1 + 87 - ((34 - -13) + (-126 - -58)).
109
Calculate -87 + (13 - (16 + 4)).
-94
Evaluate ((-4 - 4) + 43 - 5 - 13) + 12.
29
What is the value of -1 + -4 + (1 - 0) + -44?
-48
What is (-91 - -168) + -11 + 22?
88
105 + 5 + -4 - (399 + -368)
75
-15 + -2 + (-37 - -102) + -3
45
-252 + 18 - (131 - 274)
-91
Calculate (-7 - -1) + 7 + 26 + -27 + 3 + 69.
72
Evaluate (29 - (-5 - -1)) + 22 + -67.
-12
Evaluate 3 - (-3 + 10) - (-23 + (68 - -23)).
-72
-165 + 223 + -26 + 17
49
What is (62 - -17 - 68) + 68?
79
Calculate -7 + (-16 - (9 - 17)) + 17 + -4 + 0.
-2
What is the value of 56 - (32 + 6 + 8) - -10?
20
What is -11 - ((-7 - -2) + (-59 - -6) + 7)?
40
Calculate (0 - 21) + (93 - -83) + -194.
-39
41 - (132 + (3 - 28))
-66
Evaluate -60 + -24 + 112 + (-4 - 99).
-75
What is 26 - -7 - 68 - 38?
-73
What is -14 + 27 - ((1 + 0 - (-1 - 9)) + 7)?
-5
Calculate -4 - -30 - (-23 + 41) - (1 + 33) - -11.
-15
What is (-940 - -975) + (1 - (1 + 13))?
22
58 + 11 - 73 - (-32 + 15)
13
Calculate -2 - (10 - 14) - (-34 + -2 + -4).
42
What is -20 - (2 - 2) - (-16 - -2 - (-31 + 8))?
-29
1201 + -1239 - (0 - -14 - (6 - 6))
-52
What is -11 + (18 - -20) - (11 + -5 + -10)?
31
-121 - (-8 - 14 - -19 - 6 - (1 + 3))
-108
Evaluate (-946 - -973) + (1 - -60).
88
What is the value of (3 - 8) + (9 + -6 + 10 - (-138 - -104))?
42
Evaluate (1 + 5 + -2 - -1) + -3 - (-49 + 96).
-45
Calculate -2 + -2 + 4 + (95 - 148).
-53
33 + (40 - 30) - 4
39
-16 + -7 + 18 - (42 + (-6 - -2) + -4)
-39
What is the value of -1 + 0 + -7 + -25 + 90 + (-12 - 46)?
-1
What is the value of -104 - (10 + -4 + (-36 - -12))?
-86
Evaluate -30 + 40 + -42 - (35 - 21).
-46
2 + 6 + 20 - (-16 - (-18 + -10) - 4)
20
12 - (-9 + -13 + 14 -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 13. Let o = l - h. What is the third smallest value in o, -0.1, -3?
o
Let l = 1787 + -5363/3. Which is the third smallest value? (a) -10 (b) -1.1 (c) 2 (d) l
d
Let s = 3543 + -3541. Which is the third smallest value? (a) -1 (b) 2/9 (c) -199 (d) s
b
Let a be (-240)/(-3740) + 2/(-11). Let i = -117 + 114. What is the fourth biggest value in i, a, 1/2, 0.3?
i
Let y = 3.38 - 3.38. Which is the smallest value? (a) y (b) 3/2 (c) -0.0875
c
Suppose -3*l - 5*g = -604 - 265, -l + 299 = 4*g. What is the biggest value in -2, l, 2/9, 1/7, 0.4?
l
Let r = -726/17 - -2921/68. Let n = -86 + 86.078. What is the biggest value in -1/6, r, n?
r
Let y = -5663 - -5666. What is the third biggest value in -244, y, -0.3?
-244
Let k be (-4)/(-7) - 4888/(-21385). Which is the fourth smallest value? (a) 1 (b) 29 (c) -2/7 (d) 5 (e) k
d
Suppose 0 = -2*u - 89 + 87. Let v be ((-49)/(-35) + u)/((-8)/5). What is the biggest value in v, -3, -5/21, -0.2?
-0.2
Let l = 236/27 + -3014/351. What is the smallest value in 180, 1/4, l, 0.1?
0.1
Suppose -126*l = -121*l - 165. Let i be -9*((-35)/15 + 2). Which is the smallest value? (a) 2 (b) l (c) i (d) 4
a
Let y = -2520 - -2526. Let d be 16/(-36)*(-3)/6. Which is the second smallest value? (a) -0.3 (b) d (c) y
b
Suppose 5*k = -2*v - 15, 3*k + 15*v - 17*v - 7 = 0. Which is the smallest value? (a) 0.2 (b) 4 (c) 10 (d) k (e) -0.5
d
Let a = -58 + 29. Let n = -1509 - -1507. What is the second biggest value in 1, n, a?
n
Let z be (-42)/108*-9*(-7)/(-147). What is the second biggest value in -8, z, -4?
-4
Let k = -21010 - -21015. Let z be ((-20)/6 + 3)*6. What is the biggest value in k, z, 3/2?
k
Suppose -37 = -3*c - 3*y - 19, 15 = 2*c + 5*y. What is the third smallest value in -0.5, -9, -23, c, -5?
-5
Let n = -1.7 + -0.4. Let z = n + 0.4. Let m = 6.14 + -6.64. What is the second smallest value in z, m, 1?
m
Suppose 6418*y - 276 = 6430*y. What is the second smallest value in y, -4, -3, -6/7, -3/5?
-4
Let c = -1.2 + 0.2. Let z(b) = 117*b - 347. Let v be z(3). Let y = 1709/6 + -284. What is the second smallest value in c, v, y?
y
Let f be 124/88*2*-87. Let h = f + 245. Let k = 2 + 0. What is the fourth biggest value in h, -2, 3, k?
-2
Let x be 4/(-10) - 11/(84700/(-5205)). Let n = x - 2/77. Which is the smallest value? (a) 5 (b) 15/14 (c) -1/3 (d) n
c
Let x(c) = c**3 + 8*c**2 + 7*c + 2. Let j be x(-8). Let d = j - -54. Let r be 3/3*d + 2/(-1). What is the third biggest value in r, 1/7, 2?
r
Suppose 5*w + h = 2, 0 = 173*w - 168*w - 5*h + 40. Which is the fourth smallest value? (a) 2.2 (b) -10 (c) 1 (d) w
a
Let h = 0.071 - 0.051. Let y be 2/(-16) + 1135/8. Let r = 141 - y. Which is the third smallest value? (a) r (b) 4 (c) h
b
Let g = -54807 - -54810. Let z = -0.01 - -0.11. Which is the second biggest value? (a) g (b) z (c) 5 (d) 4/7
a
Let v = -29/6 + -5/3. Let n = -6 - v. Let i = -434 + 433. Which is the fourth smallest value? (a) -1/2 (b) i (c) -3 (d) n
d
Let i(b) = 55*b + 52. Let c be i(-1). What is the second smallest value in 10/27, c, 0.5?
10/27
Let h = 77 + -84. Let o = 0.1113 + -2.1113. What is the second biggest value in h, 2, o, 1/6?
1/6
Suppose r - 8 + 2 = f, 3*f + 2 = -r. What is the third biggest value in f, 5, 0.4, 1/14?
1/14
Let q be 7/(539/8) - 4/14. What is the third smallest value in 2/7, -1/2, 0, 10, q?
0
Let h = -5 - -3. Let x = h + -3. Let t be (36/243)/(1/((-3)/2)). What is the second biggest value in 2/3, t, 1/2, x?
1/2
Suppose 0 = 5*h - 5*w + 55, 90*h = 86*h - 5*w + 10. What is the fifth smallest value in h, -18/5, -0.3, 2/5, 1/2?
1/2
Let j be (0 - (-6)/24)*-2. Suppose -6*z + 8*z + 28 = 0. Let l be -14 + 16 - (-32)/z. Which is the biggest value? (a) -0.1 (b) -8 (c) j (d) l
a
Let j = -840.9149 + -0.0851. Let y = -841.5 - j. What is the second smallest value in y, -0.01, 2?
-0.01
Let v(f) = f**3 + 2*f**2 + f + 2. Let d be v(-2). Let s = 9.69 + -9.6. Which is the biggest value? (a) 0.4 (b) s (c) d
a
Let y = 52.36 - -0.64. Let z = y - 58. Let a be 6/(-2)*(-6)/(-99). What is the biggest value in a, z, 1/2?
1/2
Let m = -2754 + 13769/5. Let p = 1.1 + -0.7. Which is the third smallest value? (a) m (b) p (c) 6 (d) -5
b
Let i = -2.295 - -1.895. What is the second smallest value in i, -1, 0.4, 0, 4.47?
i
Let g = -2016 + 2014.902. What is the third biggest value in 0.5, -3, g?
-3
Let u = -874 - -873.9. Let s = 170.4 + -172.4. Let a be (-2)/8 - (-18)/8. What is the smallest value in u, a, s?
s
Let i = 20187429679889/1253577149202 - -1/1738664562. Let o = i + -1734/103. Let t = o - -10/17. What is the third biggest value in t, -2/3, 1?
-2/3
Let k = -0.884 + -0.116. Let g = 354 - 179. Let x = g + -2277/13. Which is the second biggest value? (a) 1 (b) k (c) x (d) -0.02
d
Let g = -241 - -946. Let s be 47/g + -1 + 8/5. What is the biggest value in 0, -0.4, -11, s?
s
Let o = -258.05 - -258.55. Which is the third smallest value? (a) o (b) 0.1 (c) -5 (d) -112 (e) -0.4
e
Let o = -5282.8 - -5283. Let j = 22/3 + -43/6. Suppose 4*t - 15 = m, 4*t - 133 = 5*m - 10. Which is the fourth smallest value? (a) o (b) j (c) -0.5 (d) m
a
Let n = 12 + -28. Suppose 0 = f + 141 + 99. Let s be (2/30)/((-72)/f). What is the second smallest value in n, -2/7, s?
-2/7
Let v = -11089.7 + 11089. What is the fourth smallest value in v, 0.3, -2/23, 3, 1?
1
Let b = 1357/5 + -271. Let t be -3 + 3 - (2 - 4). What is the third smallest value in 1, -2, b, t?
1
Let x be (5/50)/((-25)/50). What is the third biggest value in -50/7, 0, 2, x?
x
Suppose 0 = 5*f - 764 + 754. Let d be 4/(-25)*-15*3/(-18). Let w be ((-1)/(-6))/((-6)/4). What is the biggest value in d, w, 0, f?
f
Let f be 1*(-2)/(-8) + 1. Let k = -3328.957 + 3334. Let q = -0.043 + k. Which is the smallest value? (a) f (b) q (c) 1
c
Let p = -1.107 - 27.593. Let v = p + 28.4. Let i be 10/8*(-2)/(-10). Which is the smallest value? (a) v (b) i (c) 2/55
a
Let g be (-14)/(-8)*(-24)/6. Let h be (-1 - 1)*g/224*22. Let n = h - 79/40. What is the second smallest value in n, -4, -5?
-4
Let t be 24*7/840 - ((-399)/(-120) + -3). Which is the smallest value? (a) -5 (b) 21 (c) 3 (d) -2/11 (e) t
a
Let w be 3 - (-29 + -1) - 9/(-3). Let x = -37 + w. What is the second biggest value in 3, x, 2?
2
Suppose 0 = -2*o + 5*n + 7 + 11, 5*n = -20. Let p = -0.1816 - -0.2816. Which is the fourth smallest value? (a) -0.045 (b) -1/8 (c) p (d) o
c
Let g(i) = -5*i + 43. Let a be g(19). Let u be -4 + (-96)/a + 2. Let b = -0.25 - 12.75. What is the second smallest value in b, 3, u?
u
Suppose 3*n + 3*v + 23 = 5, -n + 24 = -4*v. What is the third biggest value in -1, -0.24, n, -2?
-1
Let t = 1 + 3. Let q = 54 - 54. Suppose 0 = -q*b + 4*b - 12. What is the second biggest value in -3, b, t?
b
Let z = 27611051/359 - 76911. Let m = -3.05 + 0.05. Which is the second smallest value? (a) m (b) -2/7 (c) z
b
Let x = -0.09 - -0.09. Let v = -987 + 701. Let r = v - -297. Which is the biggest value? (a) r (b) 1 (c) x
a
Let x = 80 + -133. Let l = 40 + x. Let d = 13.3 + l. Which is the second smallest value? (a) d (b) -2/9 (c) 0
c
Let x = 4149 - 4150.4. Which is the fourth smallest value? (a) -1 (b) 4 (c) -3/4 (d) x (e) 35
b
Let q be 11 - ((-70)/(-8))/(573/18 - 31). Suppose -5 = 2*p + 3*p. Let o(u) = -2*u - 2. Let w be o(-5). Which is the biggest value? (a) w (b) q (c) p
a
Let o = 87.86 - 87.86. Which is the third smallest value? (a) -12 (b) o (c) -0.09
b
Suppose 9 = 2*q - l - 6, 0 = -q - 2*l. Let g = 1066 + -1061. Which is the third biggest value? (a) q (b) 2 (c) 0 (d) g
b
Let c = 2.8 + -1.8. Let k be (-191)/7 - 110/(-385). Let s be (-33 - k) + (-200)/(-34). What is the second smallest value in s, -5, c, 8?
s
Let d = 2 - -3. Let w = -133960.0173 - -133967. Let y = 0.0173 + w. What is the second biggest value in -0.5, 0, d, y?
d
Suppose -2*n - 24*s + 444 = -28*s, 4*n + 5*s - 888 = 0. Which is the second biggest value? (a) 1/5 (b) -0.3 (c) n
a
Let t = 5402 - 5396. What is the smallest value in 0.1, -2, -0.92, t?
-2
Let n = 8170 + -6674892/817. Let q = -3250/7353 + n. Which is the biggest value? (a) -2 (b) 1.2 (c) q
b
Suppose 268 = -3*b + 5*n, -30*b + 271 = -33*b + 2*n. What is the second biggest value in -2, -4/5, b?
-2
Let o = 19 + -19.03. Let t = -0
|
{
"pile_set_name": "DM Mathematics"
}
|
one hundred?
-7800
What is -88762674.7 rounded to the nearest ten thousand?
-88760000
What is 0.00000546499531 rounded to 7 dps?
0.0000055
Round -4038396.2 to the nearest 10000.
-4040000
Round 0.000021580095382 to six decimal places.
0.000022
Round 0.00000080272786 to seven dps.
0.0000008
What is -0.00170778184 rounded to 6 decimal places?
-0.001708
What is 0.0011804961 rounded to 2 decimal places?
0
Round 0.502231669 to one decimal place.
0.5
What is 0.319770142 rounded to three decimal places?
0.32
Round 247.73989 to 2 dps.
247.74
What is 640710 rounded to the nearest one hundred?
640700
Round 0.3759633723 to three dps.
0.376
Round -0.0000012781514 to 7 decimal places.
-0.0000013
Round 24383.55007 to the nearest one thousand.
24000
What is 2327445800 rounded to the nearest 100000?
2327400000
What is 0.071030297 rounded to 4 decimal places?
0.071
Round -10575.29139 to the nearest one thousand.
-11000
Round -12.45681594 to 2 decimal places.
-12.46
What is -0.00001190553956 rounded to 6 dps?
-0.000012
Round -14.460276 to 0 dps.
-14
What is -11805651.49 rounded to the nearest one hundred thousand?
-11800000
What is 0.00105648703 rounded to six dps?
0.001056
What is 5219588.16 rounded to the nearest one million?
5000000
What is -217801850 rounded to the nearest one hundred thousand?
-217800000
What is -0.078291431 rounded to 4 decimal places?
-0.0783
What is -0.00065740139 rounded to 7 decimal places?
-0.0006574
Round 0.000016613313 to six decimal places.
0.000017
Round -26493.2509 to the nearest integer.
-26493
What is -6269.12767 rounded to the nearest 100?
-6300
Round 1.754638958 to 0 dps.
2
Round -0.0906179088 to three dps.
-0.091
Round -0.5092061347 to 2 dps.
-0.51
What is -7321983.1 rounded to the nearest one thousand?
-7322000
What is 0.00454582435 rounded to 7 decimal places?
0.0045458
Round -0.000001421809847 to 7 decimal places.
-0.0000014
Round 362.19028 to the nearest integer.
362
Round -23920939 to the nearest one thousand.
-23921000
What is 50.46368637 rounded to zero dps?
50
Round -84100447.85 to the nearest 1000.
-84100000
What is -52.872401 rounded to two dps?
-52.87
What is -0.573309581 rounded to 1 decimal place?
-0.6
Round -0.0019122473 to three decimal places.
-0.002
What is -1701237608 rounded to the nearest ten thousand?
-1701240000
Round -1066.067258 to the nearest ten.
-1070
What is 15.66941146 rounded to the nearest ten?
20
Round 0.0000371527228 to 6 decimal places.
0.000037
What is 52312.288 rounded to the nearest 10000?
50000
What is -358414.15 rounded to the nearest one hundred?
-358400
What is -10.82131961 rounded to three dps?
-10.821
What is -638123950 rounded to the nearest 100000?
-638100000
Round -26.7195496 to three decimal places.
-26.72
Round 0.00120033113 to 4 decimal places.
0.0012
Round -3.82331344 to zero decimal places.
-4
Round 0.531681432 to two decimal places.
0.53
What is 26925642.2 rounded to the nearest 100000?
26900000
What is 99.8968523 rounded to the nearest integer?
100
What is -21871.7427 rounded to the nearest ten?
-21870
Round -0.10555104798 to 5 dps.
-0.10555
Round -3.4992976 to the nearest 100.
0
Round 0.00048853015 to 6 dps.
0.000489
Round 16138132.05 to the nearest 1000000.
16000000
What is 0.003312046662 rounded to 7 dps?
0.003312
Round 1776886787 to the nearest one million.
1777000000
Round 0.00321646117 to four decimal places.
0.0032
Round 268369.3517 to the nearest ten thousand.
270000
Round 13.6283873 to one decimal place.
13.6
Round -25248.5099 to the nearest 10.
-25250
Round 26202.6178 to the nearest 100.
26200
Round -0.070209938 to five dps.
-0.07021
What is 0.00004744122885 rounded to six decimal places?
0.000047
Round 22034804 to the nearest 1000000.
22000000
What is 10.64104617 rounded to three dps?
10.641
What is -2321039350 rounded to the nearest one million?
-2321000000
Round 0.118210316 to three decimal places.
0.118
What is -0.009161406829 rounded to 4 dps?
-0.0092
What is -8342844.68 rounded to the nearest 1000?
-8343000
What is 0.000000540323609 rounded to seven decimal places?
0.0000005
What is -3413242805 rounded to the nearest one hundred thousand?
-3413200000
What is 3.136343165 rounded to 4 decimal places?
3.1363
Round -1.190729459 to 4 dps.
-1.1907
Round -215269.2613 to the nearest one thousand.
-215000
What is 276305106 rounded to the nearest 10000?
276310000
Round -22.3101528 to 3 dps.
-22.31
Round 32.72433008 to 1 decimal place.
32.7
Round -0.0399014808 to 5 dps.
-0.0399
What is -10837.8522 rounded to the nearest 100?
-10800
Round 0.63941024 to three dps.
0.639
Round 0.00862787239 to 4 decimal places.
0.0086
Round 294256049 to the nearest 1000000.
294000000
What is 1107.597142 rounded to 1 dp?
1107.6
What is -23.41874372 rounded to 0 decimal places?
-23
Round 0.0000588801524 to 7 decimal places.
0.0000589
What is 41466626.7 rounded to the nearest one hundred thousand?
41500000
What is 0.00010000776355 rounded to five decimal places?
0.0001
What is 0.00021623119 rounded to four dps?
0.0002
Round -0.0000168737546 to 6 dps.
-0.000017
What is -571.79128 rounded to the nearest ten?
-570
Round 8.0116702 to 3 decimal places.
8.012
Round 3170.3722 to the nearest ten.
3170
What is 0.0000118004661 rounded to 7 decimal places?
0.0000118
Round 2668849.19 to the nearest one thousand.
2669000
What is -0.26861459 rounded to 2 dps?
-0.27
What is 0.60549291 rounded to 3 decimal places?
0.605
Round 9.767341054 to 3 dps.
9.767
What is 793868.612 rounded to the nearest one hundred thousand?
800000
Round -30.952959 to the nearest 10.
-30
What is -0.000079081724 rounded to 7 decimal places?
-0.0000791
Round -82137.297 to the nearest one thousand.
-82000
Round 0.071700695 to 3 decimal places.
0.072
Round 0.66768074 to two decimal places.
0.67
Round -0.000043065952 to five decimal places.
-0.00004
Round -13531.074 to the nearest one hundred.
-13500
What is 22073.38687 rounded to the nearest one hundred?
22100
Round 266.7657442 to the nearest ten.
270
Round -37936.9587 to the nearest one hundred.
-37900
Round -1592.77669 to the nearest one hundred.
-1600
Round -0.07784248 to four dps.
-0.0778
What is -0.00303340774 rounded to 4 decimal places?
-0.003
What is -61077.0252 rounded to the nearest 100?
-61100
What is 0.220238412 rounded to 5 dps?
0.22024
What is 2.086630559 rounded to 0 decimal places?
2
Round 43350.31387 to the nearest 100.
43400
Round -82468.344 to the nearest one hundred thousand.
-100000
Round -0.0119408539 to two dps.
-0.01
Round -1845236.44 to the nearest 10000.
-1850000
What is 0.981327982 rounded to one dp?
1
What is -156.070976 rounded to the nearest one hundred?
-200
What is -7869795.95 rounded to the nearest 1000000?
-8000000
Round 7401408.58 to the nearest ten thousand.
7400000
What is 0.0004710572318 rounded to six dps?
0.000471
Round -7614267.226 to the nearest 100000.
-7600000
Round 2946813851 to the nearest 100000.
2946800000
What is -552.9171 rounded to the nearest 100?
-600
Round 59081136300 to the nearest 1000000.
59081000000
Round 4.12229299 to the nearest integer.
4
What is -4013.23597 rounded to the nearest one hundred?
-4000
Round 471775.998 to the nearest ten thousand.
470000
Round -1012.994811 to the nearest integer.
-1013
What is 1.4032091 rounded to 1 dp?
1.4
What is 0.289940068 rounded to 3 decimal places?
0.29
What is -0.000167856613 rounded to six decimal places?
-0.000168
Round 2.98180844 to 1 decimal place.
3
What is 20522.0653 rounded to the nearest 1000?
21000
Round -0.508911367 to four dps.
-0.5089
Round 685.79797 to the nearest integer.
686
Round 20115.6364 to the nearest ten.
20120
What is 2592.71073 rounded to the nearest 100?
2600
Round -37697451.52 to the nearest 1000000.
-38000000
Round -1.43447671 to 4 decimal places.
-1.4345
What is -620438.0293 rounded to the nearest one hundred?
-620400
What is 350030.5 rounded to the nearest 10000?
350000
Round 5678972.3 to the nearest one million.
6000000
What is 943967.4 rounded to the nearest 1000?
944000
What is -27377.548 rounded to the nearest one thousand?
-27000
Round -0.000002347287233 to seven decimal places.
-0.0000023
What is 0.01546587528 rounded to 7 dps?
0.0154659
Round -0.00466799469 to six decimal places.
-0.004668
Round -78121.5122 to the nearest one hundred.
-78100
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
2*f = -80. Is o a composite number?
False
Let d be -54 - 4/8*-2. Let g = -46 - d. Let u = g + 50. Is u composite?
True
Let y be (-2 - 0) + 29271 - (7 + -6). Suppose 10*i = 7*i + y. Suppose 4*a = 4*h - 0*h - i, -h = -4*a - 2445. Is h a prime number?
True
Suppose 0 = -5*n + 4*i + 41423, -8287 = -4*n + 3*n + 2*i. Suppose -5*o + n = -k, -3*k = -6*k + 6. Is o composite?
False
Let x(d) = 100*d + 112. Let r be x(-1). Suppose 6*y = 3*y + 1545. Let a = y + r. Is a composite?
True
Let o = 164 + -74. Let r be o/(-5)*-45*1 + -1. Let c = r - 430. Is c a prime number?
True
Let d(c) = -4*c - 35. Let b be d(-10). Suppose 4*h + 4*j = -20, -h - j = h + b. Suppose -5*w - 2*s + 1265 = 0, 0 = -5*w - h*w - 3*s + 1265. Is w composite?
True
Let c(j) = 4*j - 16. Let q be c(2). Is 0 - 2348/q*2 prime?
True
Let v(p) = p**3 + 13*p**2 + 16*p + 90. Let s be v(-8). Suppose s*j - 288*j + 6054 = 0. Is j composite?
False
Let i = -23257 - -39434. Let m = 28078 - i. Is m prime?
False
Let r(s) = 614*s + 3687. Let c be r(-6). Let m be -2 + 7 + 0 + -1. Suppose 0 = -6*o + m*o - c*y + 239, y = -5. Is o a composite number?
False
Let s = 57 + -51. Is (-2 + -5 + s)*-745 prime?
False
Suppose 0 = -4*d - p + 1354444, 5*p + 2631 = 2671. Is d composite?
False
Suppose -87*i = -33*i - 2278314. Is i prime?
False
Let s = 848 - -7231. Let w be (-28)/(-21) + 94976/12. Suppose -s = -7*g + w. Is g prime?
False
Let y be (-2)/7 + 1/(-14)*122. Let l(z) = 8*z + 49. Let w be l(y). Let s(a) = -a**2 - 33*a + 77. Is s(w) a composite number?
False
Suppose 5*n + 3*s = 28, -7*n + 2*n = -3*s - 22. Suppose -n*f = -6*p + 4*p + 2742, 3*f + 5456 = 4*p. Is p composite?
False
Let h be 3 + 3 - (18 - 6). Is 20/30 + (-11078)/h composite?
False
Let u(q) = 401*q - 238. Let c be u(7). Suppose -c = l - 15464. Is l a composite number?
True
Suppose 34*d - 33*d = -a + 297881, 2*a - 595762 = -5*d. Is a a prime number?
True
Let f(v) = 43205*v**2 - 43200*v**2 + 2 + 3 + 13*v. Let j = 7 - 12. Is f(j) composite?
True
Let p be 176/10 - 154/(-385). Is 23918*(p/84 + (-2)/(-7)) composite?
False
Let w(u) = 14106*u**2 + 2*u + 2. Let a be w(-1). Suppose 3945 + a = 11*s. Is s composite?
True
Suppose 5*a - 3*l - 2*l - 140 = 0, 5*a - 3*l - 144 = 0. Suppose 0 = 5*w - 5*u - a, -3*u - 2*u = -2*w + 24. Suppose -234 = -w*j + 20. Is j a composite number?
False
Is 29264250/390 + (-12)/(-26) prime?
True
Suppose 181286 + 77687 = 13*u. Is u a prime number?
False
Is (-46 + 47)/((-4)/(-2789764)) a composite number?
False
Let g be 2*(60/5)/(-6). Is (-2999)/(g/6*21/14) prime?
True
Suppose -4105 = 2*n + 3*i, n + 5*i = -2*n - 6157. Let x = n + 3027. Suppose 5*q - 2*q = 4*v - 1981, 2*v - 5*q = x. Is v a prime number?
True
Suppose -349 = -3*t - 5*r, t - 2*r - 82 = 16. Suppose 0 = -p - 1139 + t. Let m = 2212 + p. Is m a prime number?
True
Suppose -2*o = -26574 - 29360. Suppose -4*x + 8053 + o = 0. Is x + (2/4)/1*0 a composite number?
True
Is 0 + -8 + 341173/7 composite?
False
Let j = -350 + 355. Is 15722 - (-4 + j - 6) a composite number?
False
Let c = 62 + -58. Suppose -2*n = 5*l - 20902, c*n = -l - l + 8364. Is (-3 - -1) + l/4 a composite number?
True
Let u(c) = -3*c - 11. Let x be u(-7). Is ((-2)/8)/(x/(-125480)) prime?
True
Suppose v = -145 + 142. Is ((-2481)/(-2))/v*(7 + -13) composite?
True
Let k = 489 + -487. Suppose 0 = 4*x - 270 + 38. Suppose 6*z = -w + k*z + x, 4*w + 2*z = 232. Is w composite?
True
Suppose 4*a = -2*i + 89514 + 434648, 0 = -4*a + 2*i + 524150. Is a a prime number?
False
Suppose 2*u - 4*m - 465222 = 0, -3*u - 2*m + 307746 = -390127. Is u prime?
True
Let t(p) = -74*p**2 + 8*p - 42. Let m(h) = -75*h**2 + 7*h - 43. Let q(b) = 5*m(b) - 6*t(b). Is q(9) prime?
False
Suppose 0 = w - 0 - 13. Let h be ((130473/(-9))/7)/((-1)/3). Suppose 0 = w*z + h - 20344. Is z a composite number?
False
Let m be (-20)/15*2/((-8)/6). Suppose 0 = m*p - 0*p + 4*f - 23374, p - f = 11678. Is p a prime number?
True
Let m(c) be the third derivative of 391*c**4/24 - 263*c**3/6 + c**2 - 14*c. Is m(7) composite?
True
Let q = -341392 + 828199. Is q prime?
False
Let p = 421126 + -156207. Is p a prime number?
True
Is (-9)/(-162)*9*9106 composite?
True
Is ((-11591456)/64)/((-1)/2) a prime number?
True
Suppose 0 = 4*o - 102354 - 34490. Is o a composite number?
False
Suppose 0 = 11*j + 9974 + 37139. Let i = 864 - j. Is i prime?
True
Let j = 138857 - 39000. Is j a composite number?
True
Let r(j) = -1 + 2*j + 12 + 0*j. Let p be r(0). Is (11 - p) + (1 - -126) prime?
True
Is (1076358/(-16))/((-324)/432)*(1 + 1) composite?
False
Let m(i) = -i**2 - 20*i - 51. Let f be m(-18). Is (-105324)/f + (-7 - (-296)/40) a prime number?
False
Let z(c) be the second derivative of -2/3*c**3 - 28*c + 0 + 293/2*c**4 - 3/2*c**2. Is z(-1) a composite number?
False
Let h be (2 - -24)*-1 + (-5 - -7). Is (-1)/6 + ((-128908)/h)/13 a prime number?
False
Let b(v) = -1169149*v**3 + 26*v**2 + 60*v + 34. Is b(-1) a composite number?
False
Suppose -2*b = 4*j - 29365 - 3327, 0 = -4*b - 5*j + 65390. Let h = -7931 + b. Is h prime?
True
Suppose -5*d + 235 = 20. Let r be 4/18 + d/9. Suppose -k = -r*k + 316. Is k prime?
True
Let f(p) = p**3 - 13*p**2 + 24*p - 17. Let t be f(7). Let g = t - -309. Is g prime?
False
Let o = -7585 + 97212. Is o composite?
False
Let x(h) be the third derivative of -161*h**4/12 - 79*h**3/2 + 3*h**2 + 5*h. Is x(-37) composite?
False
Is 4330218*(117/54 + -2) a prime number?
True
Let f(z) = 324*z**2 - 5*z + 9. Let u = -500 - -504. Is f(u) prime?
False
Let m(k) = 7*k**3 + 3*k**2 + 8*k + 4. Let z be m(-12). Is (z/6)/((-38)/57) a composite number?
False
Suppose 40002 = 303*y - 297*y. Is y composite?
True
Suppose -3 - 32 = 5*q - h, 3*q + 23 = h. Let g(s) = 521*s**2 - 9*s - 5. Is g(q) a composite number?
True
Suppose -1282*i = -1270*i - 4965072. Suppose n - 29*n = -i. Is n a prime number?
False
Suppose -2482*u = -2483*u + 19417. Is u prime?
True
Suppose -78 = 8*n - 70. Is n/(3/(-30))*(-10264)/(-16) composite?
True
Is (-3)/(-18) - 11770/(-495)*7530/8 a prime number?
True
Suppose -3*s + 2*s = -2. Suppose p - s*u = 4, -p + 3*u = -5*p + 5. Suppose 0 = -4*c + p*c + 8, -5*x - 2*c + 4453 = 0. Is x a prime number?
False
Let v(y) = 25*y**3 - 204*y**2 + 61*y + 15. Is v(23) prime?
True
Let t(r) = 2947*r + 40. Let u be t(4). Suppose 7*p - u = 11083. Is p composite?
True
Let k = 7469 + -5319. Suppose k + 15180 = 10*v. Is v a prime number?
True
Suppose -h + 4*o = -5262, -2*h - 10*o + 10557 = -7*o. Suppose -u + 2*y + h = -1949, y - 21690 = -3*u. Is u a prime number?
True
Is (-93672)/(-22) + (-38)/(-209) prime?
False
Let j = 5261 + -3562. Let w = j - -115. Is w a composite number?
True
Let x = -50 + 58. Let m be -60 + x*2/4. Is 4/14 + (-2840)/m a prime number?
False
Let v be -7 - (-5)/((-10)/(-12)). Let j(q) = 48353*q**2 - 5*q - 5. Is j(v) a prime number?
True
Let h(b) = b**3 - 6*b**2 - b + 1. Suppose 5*s = 3*q - 1 + 28, -q = -1. Let f be h(s). Let p(j) = -297*j - 8. Is p(f) composite?
True
Is (3 + 3/(-2))*(-39210930)/(-297) a prime number?
False
Suppose 4*t + 114 + 30 = 0. Let x = t - -47. Suppose x*r + 4772 = 15*r. Is r a prime number?
True
Let i(h) = 2*h - 6. Let p be i(4). Suppose -4*a - 5*c + 1035 = 0, -p*a + 2*c + 1335 = 3*a. Is a a composite number?
True
Suppose -b + 4*f + 16 = 0, 4*b - 16 = 3*b - 4*f. Let h = -15 + b. Is -4*30/(-8) - h composite?
True
Let o(u) = -26082*u**3 + 2*u**2 + 10*u + 9. Is o(-1) a composite number?
False
Let j = 81 - 36. Let s = -41 + j. Is -6*s/6 - -131 a prime number?
True
Let r = -1205 - -3972. Is r a composite number?
False
Suppose 2*j - 2*o + 4 = 0, -o = 5*j - 3*o + 10. Is j/(-4)*99732/6 a composite number?
False
Let x(y) = -y**3 - 16*y**2 + 12*y - 94. Let o be x(-17). Is (138520/(-12))/(6/o) a prime number?
False
Let v = 223958 - 89917. Is v a composite number?
True
Suppose 0*q = 2*m - q - 28, 2*q = -4. Suppose 8116 = m*c - 2375. Is c a prime number?
False
Suppose 2*m - 705 + 87 = -4*i, i = 3*m - 913. Is m a composite number?
True
Suppose -4997*a = -4983*a - 3502058. Is a composite?
False
Let t be -5*(12/15)/(-1). Suppose 5*c - 40 = 2*r, 3*c = -c - 4*r + t. Is 1 + 543/c - (-1)/(-2) a composite number?
True
Let q(i) = -2*i**2 + 22*i - 29. Let o be q(9). Suppose 21*w = o*w + 13678. Is w a prime number?
True
Let t(z) = 2*z + 38. Let h be t(-13). Is ((-4)/h)/(2/(-3930)) a p
|
{
"pile_set_name": "DM Mathematics"
}
|
/(m*m*m/m**(-1/2))))/m*m)/(m/m**(-1/2))*(m**(2/21)*m)/(m/m**(3/5)) assuming m is positive.
m**(-98732/105)
Simplify (h**(-6)*h*h/h**(-1/5)*h)/((h*((h*h**4)/h*h)/h)/(h*h/(h/h**(3/2))))*(h/(h**(-5)/h))/(((h**9*h*h)/h)/h)*((h/h**(1/8))/h)/h**(-4) assuming h is positive.
h**(-137/40)
Simplify (m*m/(m*m*m*m**(-3/4)*m)*m*(m/m**(-2/5))/m*(m*m**(-3/8)*m*m)**(-3/10))**(-2/15) assuming m is positive.
m**(17/200)
Simplify (y**5/y*y/(y*y/y**(-3/8))*y**0/y**(-1/8))/((y**(-3/7)/y)/(y**(-2/27)*y))**(-29) assuming y is positive.
y**(-49541/756)
Simplify (((p/(p/(p*((p*p**(2/7)/p)/p)/p*p*p)))/p*p*p**(-32)*p)/(p**26)**20)**14 assuming p is positive.
p**(-7696)
Simplify ((l**(-9/5)*l*l**(-4/5))/(l/((l**6*l)/l))**(-34))**(-1/5) assuming l is positive.
l**(858/25)
Simplify ((m*m**(-20/3)*m*m)**3/(m*m**8*(m*m*m**(2/55)*m*m)/m))**(1/3) assuming m is positive.
m**(-1267/165)
Simplify (((v**(-2/19)*v)/v)**(1/63)*((v*v**(-1/7))/v)**(-5/6))**(-1/48) assuming v is positive.
v**(-281/114912)
Simplify ((d*d*((d*d*d/(d*d**(-2/7))*d)/d)/d)**1/(d**(-5/3)/(d*d*d/d**12)))**(1/15) assuming d is positive.
d**(-17/63)
Simplify ((((d*d*d**(-1)*d)**16)**(-1/58))**42)**(-1/12) assuming d is positive.
d**(56/29)
Simplify ((u/u**2)/u**(4/7))/(u*u*u**0*u)**(-7)*(u**6/u**3)/(u**5/u**(-3/4)) assuming u is positive.
u**(467/28)
Simplify ((y**(-1))**(2/47)/((y**4/y)/(y**(-2/3)*y*y)))/((y**1/y**(2/5))/(y/y**(2/5))**(7/6)) assuming y is positive.
y**(-2269/1410)
Simplify (n*n**0)**(4/9)/(((n/n**(2/5))/n)/n)**(3/8)*(n**1/n)**(18/7)/((n*n**(-1/2))/n)**(-3) assuming n is positive.
n**(-191/360)
Simplify (o**(-2/9)*o/o**(-1)*(o**(-1/2))**(-2/41))/((o*o**(-1)*o)**(2/87)/(o**(2/3))**(-32/7)) assuming o is positive.
o**(-95015/74907)
Simplify (((r**24)**(-38))**(3/10))**33 assuming r is positive.
r**(-45144/5)
Simplify ((h**2)**17*(h/(((((((h/((h**(-4)*h)/h*h))/h)/h)/h)/h)/h)/h))/h**4)/((h**2*h)**(10/7)/(h**(3/4)/(h**4*h))) assuming h is positive.
h**(685/28)
Simplify (((v/(v*v**5/v))/v)/(v*v*v**(-5/4)*v*v)*(v/v**(-2/13))/v*v*v**11)**(-13) assuming v is positive.
v**(-229/4)
Simplify ((c*c**(-2))**1*(c**(1/3))**(-39))/(c**14*(c**(-4)*c)/c)**30 assuming c is positive.
c**(-314)
Simplify (q*q**(-21)*q)/q**(1/6)*q**(-4/3)*q*q/(q*q**(-5/13)*q) assuming q is positive.
q**(-523/26)
Simplify ((h/(h**12/h)*h**19)/((h*h/h**13)/h*h**(-4/11)))**(-21) assuming h is positive.
h**(-4935/11)
Simplify (v**6/(v*v**(-4/3)))**30/(v*v/(v/(v*v*v*v*v*v*v/(v*(v*v*v*v/v**(-1/16))/v*v)*v*v))*v/v**(-4/5))**(4/13) assuming v is positive.
v**(48861/260)
Simplify ((n*n/(n*n**0*n))**(-13)*(n**(2/7)/n*n)/((n/(n**6*n))/n))/((n/n**8)/(n*n/(n*n/(n*n**(1/4)))))**(-1/16) assuming n is positive.
n**(3033/448)
Simplify ((g**15)**(-6/23)*(g**(-3/4)*g)/(g*g*g**(-16)))**(-39) assuming g is positive.
g**(-37089/92)
Simplify ((u/(u*u**(2/31))*u)/u**31*(u**4*u)/u**(2/37))**36 assuming u is positive.
u**(-1037196/1147)
Simplify (((k*k**(-4)*k)/k)**(3/25)/(k*(k**7*k)/k)**11)**(-16/9) assuming k is positive.
k**(35344/225)
Simplify ((o**(-1/8)*o/(o*o**(-3))*o)/(o*o**0*o/o**2*o*o))/((o**0*o*o**(-8))/(o/o**0*o/o**(-1/3))) assuming o is positive.
o**(269/24)
Simplify ((v/((v*v/((v*v**(-3)/v)/v))/v)*v)**(1/17)/(v/((((v**(1/5)*v)/v)/v)/v)*v**(6/7)))**(3/19) assuming v is positive.
v**(-6843/11305)
Simplify ((n*n/(((((n/(n/(n**(4/9)*n)))/n)/n)/n*n)/n))**(-27)*(n**(-5/13)*n)**(-2/11))**(-45) assuming n is positive.
n**(618480/143)
Simplify (u/u**(-7)*u**12/u)**(-20)*((u**7*u)/u**9)/((u/((u**(1/7)*u)/u))/(u/(u/(u/(u*u**(3/4)))))) assuming u is positive.
u**(-10713/28)
Simplify ((y**(2/29)*y*y/(y**0/y)*y)/(y**15/y)**(-22))**(-4/7) assuming y is positive.
y**(-36200/203)
Simplify (t**(-3/4)/((t/t**(-6))/t))**(1/2)/(t**5*t**(-1/5)*t*t*t*t**(2/9)*t**(-4)) assuming t is positive.
t**(-2663/360)
Simplify (q**3/q**(-6)*(q**(1/2))**(-6/25))/(q**(1/4)/q*q*q**(1/4)*q*q/q**1*(q/(q**(-4/9)/q))/q) assuming q is positive.
q**(2671/450)
Simplify ((u/(u/u**(-1)))**(3/14)/(u**(-1))**(2/21))/((u**(-3/5)*u*u**(-3)/u)/(u**(-1/3)*u/((((u*(u*u**(1/4)*u)/u)/u)/u)/u))) assuming u is positive.
u**(2057/420)
Simplify (j**(-2/13)*j*j/(j*j*j**(2/17)))/((j/j**(-2/21))/(j*j**(-2/7)))*(j**(2/13)/j*((j/(j/((j*j**(-11/3))/j)))/j)/j)**30 assuming j is positive.
j**(-909808/4641)
Simplify t**(-4)/((t**(2/13)/t)/t*t)*t*t**(-3/2)*t*(t/(t/t**0))/t*t*t/t**(-3)*t**5/t*(t**(-2/3))**(-2/23) assuming t is positive.
t**(9695/1794)
Simplify ((z**0)**(3/26))**(-17/3)/((z*z*z**(-1)*z)**(1/11)*z**(-1/2)/z**(3/10)) assuming z is positive.
z**(34/55)
Simplify (((t**(4/15)/(t/((t*t**(1/23)/t*t)/t)))**46)**(1/41))**14 assuming t is positive.
t**(-6664/615)
Simplify ((z**(-13/5)*z*z)/z)/((z**32/z)/z)*z**(1/11)/(z*(z**(-28)*z*z)/z) assuming z is positive.
z**(-303/55)
Simplify ((n*n/(n*n**(6/7)))**(-24)/(n/(n**(-3)/n))**(-1/13))**(-2/55) assuming n is positive.
n**(554/5005)
Simplify ((c*c*c*c/(c*c**(-3)))**(-1/45))**(2/7)*(c**(2/7)/(c/c**(-1)*c))/(((c**0*c)/c*c)/c*c/(c*c/(c*c*c/(c*c**(-6))))) assuming c is positive.
c**(-1024/105)
Simplify ((b/(b/b**5))**(-3/19)/(((b**3*b)/b*b)/b*(b*b**(2/5)*b)/b))**(1/10) assuming b is positive.
b**(-493/950)
Simplify (y**(-2)*y*y**(-2))**(2/141)/(y**(1/3)*y**(-1))**48 assuming y is positive.
y**(1502/47)
Simplify ((l**0*l)**19)**(-42)*((l*l/(l/l**9)*l)/(l*l**(-1/3)*l*l))**(-3/16) assuming l is positive.
l**(-12793/16)
Simplify (g*g*g**(2/15)*g/g**(6/11))**(-17)/((g**(2/15)*g)/(g**(-2/5)/g))**(-3) assuming g is positive.
g**(-1201/33)
Simplify (((v/(v/(v*v*v**(-4/9)*v*v)*v))/(v**(-1/5)/v))/((v**(-1/10)*v)/v**2))/(v**1*v*v*(v**(-3)*v)/v)**(-14) assuming v is positive.
v**(437/90)
Simplify ((((b**(-2/23)*b)/b)/b*b/((b*b**(-2/5)*b)/b))/(b**(5/3))**28)**(-47) assuming b is positive.
b**(767839/345)
Simplify (w**(12/11)*w**23/w*(w**12)**(-36/5))**(-12/13) assuming w is positive.
w**(41784/715)
Simplify ((h*(h**1/h)/h)/h)**(6/19)/((h*h**0)/h)**(-20)*(h**(1/8)*(h**(-3)/h*h)/h)**29 assuming h is positive.
h**(-17129/152)
Simplify ((z**(-6)*z**(-8))/(z**(1/4))**0)/(((z*z**1)/z)**(-36)/(z*z**7*z*z*z**1)) assuming z is positive.
z**33
Simplify ((g/g**6)/(g*g**(-1/12))*(g**(3/7))**(-3/13))**(-30) assuming g is positive.
g**(32845/182)
Simplify (u**(-4)*u*u*u*u/u**(-4/3)*(u/(u*u**(1/2))*u)**(2/35))/(((u/(u*u**(2/5)))/u*u)**(11/5)/(u**3*u/((u*u/u**7*u)/u))) assuming u is positive.
u**(5902/525)
Simplify (((((s/((s*s/(s*(s*(s**(2/31)/s)/s)/s))/s*s))/s)/s**(-12/5))**(1/50))**(-5/3))**0 assuming s is positive.
1
Simplify i**(3/13)/i**(-3/23)*(i*i/(i**5/i))**(1/4) assuming i is positive.
i**(-83/598)
Simplify ((c**(-9)/c)**42*c**(-39)/((c*c**31*c*c)/c))**43 assuming c is positive.
c**(-21156)
Simplify b**(1/7)*((b**(-5)/b*b)/b)/b*(b**(2/11))**(-20)*(b**(1/22)/(b*b**10))**(5/9) assuming b is positive.
b**(-2089/126)
Simplify ((u*u**(2/7))/(u*u**5*u))/(u/(u*u*u**(-1/4)*u*u)*((u**(-4/9)*u)/u)/u)*(u**(-2/5))**(-2/13)*(u*(u*u**2)/u)**(-4/9) assuming u is positive.
u**(-45727/16380)
Simplify (i/(i/(i**(2/5)*i))*i*((i*i**(-1/7))/i)/i*i**(-1/8)/i**(-2/47))**(-2/47) assuming i is positive.
i**(-15459/309260)
Simplify ((q**(-3/7)/q)/(q*q/(q**(2/7)*q)))/(q**(-2)/q**(-3/5))*(q**0)**(-4/5)/(q**(-7)*(q*q**0/q)/q) assuming q is positive.
q**(254/35)
Simplify ((s**0)**27/((s*s**0/s)/s)**(-35/3))/(((s*s/(s/(s/s**(1/3))))/s)**35*s*s**3*s**(7/2)) assuming s is positive.
s**(-85/2)
Simplify ((f*f**(-4)/f*f)/f**4)**(-5/12)/(f**(-2/15)*f**1*f**(1/2)*f**3) assuming f is positive.
f**(-29/20)
Simplify (((x/(x**(-14)*x))**(-37))**27)**36 assuming x is positive.
x**(-503496)
Simplify ((w**2)**0*w**(6/11)*w**(-1/4)*w)/((((w/(w*w**1))/w*w)/w)**(-1/29))**(-3/4) assuming w is positive.
w**(1719/1276)
Simplify ((h*h*h**(-1))**(-47))**17/(((h/(h*h*h*h/(h*h/h**3*h)))/h*h**(-1))/((h/(h**(-1)/h))/h)**28) assuming h is positive.
h**(-738)
Simplify ((k**(13/7)/k**11)/((k/(k/(k*k**(-19))))/(k*k*k**(1/5))))**50 assuming k is positive.
k**(3870/7)
Simplify ((d**(1/11)/d)/d**(-2/29))**32/(((d**1*d)/d)**(5/6)/((d**(2/11)/d)/d**1)) assuming d is positive.
d**(-56531/1914)
Simplify (((m*m**(5/6))/m**(-21))/((m*(m*m*(m/(m**(-1/14)/m))/m*m)/m)/m**(-10)))**(-1/5) assuming m is positive.
m**(-184/105)
Simplify ((v**(18/11)*v*v/((v*v**37)/v)*v*v*v)/(v*v*v**(-11)/v)**(2/13))**(5/8) assuming v is positive.
v**(-10305/572)
Simplify (c
|
{
"pile_set_name": "DM Mathematics"
}
|
in descending order.
p, 3/5, 1/3, -2
Let p(y) = y**2 + 5*y + 2. Let r be p(-6). Suppose w + 2*d = r, 5*w = -2*d + 4*d + 52. Let f = w + -10. Sort -5, 1, f in ascending order.
-5, f, 1
Let l(n) = n + 8*n - 10*n + 14. Let w be l(11). Sort 9, 6, w in decreasing order.
9, 6, w
Let r be -33*4*(-3)/(-12). Let d = r + 29. Let f be 2*(3 + 2/(-2)). Put f, d, -5 in decreasing order.
f, d, -5
Suppose t = -t - 10, 0 = 3*r - 4*t - 26. Suppose s - 20 = 5*f, -4*s + 15 = -r*f - 5*s. Sort -2, f, 4 in descending order.
4, -2, f
Let m(n) = 22*n + 49. Let t be m(-2). Put -41, t, -3, 1 in increasing order.
-41, -3, 1, t
Let t = -3.23 - 912.77. Let b = -940.11 - t. Let z = -24 - b. Sort -0.2, -1/3, z.
-1/3, -0.2, z
Suppose 0 = -2*k - 0 + 8. Suppose -k*m = 5 - 13. Let p be (0 - (m + 0)) + 4. Sort p, 4, 8.
p, 4, 8
Let f be 3*((-2)/(-12))/((-20)/(-16)). Let v = 9.6 + 2.4. Sort 2, f, v in decreasing order.
v, 2, f
Let u be 3 + (-3 + -1 - -19). Put 5, u, -1 in ascending order.
-1, 5, u
Let n be 8/3 + ((-1)/3)/(-1). Suppose p + 2*z - 3 = 0, 2*p - 4*z = -5*z - n. Sort p, 5, -5 in decreasing order.
5, p, -5
Let r be 414/45 + -8 - (-2)/(-10). Sort -0.3, -3, 3, r in increasing order.
-3, -0.3, r, 3
Let d = 150 - 144. Put 4, -1, d in decreasing order.
d, 4, -1
Let l = -263/2 - -21833/166. Let h = -176/415 + l. Put 5/4, h, 0.5, 17 in decreasing order.
17, 5/4, 0.5, h
Let v = -70.9 + 71. Sort v, -2, -0.4, -1/4.
-2, -0.4, -1/4, v
Let x = -7299 + 4344. Let o be (4/(-18))/(10/x). Let u = o + -65. Sort u, 4, -2 in descending order.
4, u, -2
Suppose -m = -3*d - 6*m, -4*m + 8 = 4*d. Suppose -3*r - 2*y + 1 = -0, -4*r + 4*y - 32 = 0. Put r, d, 4 in decreasing order.
d, 4, r
Let s(t) = t - 5. Let u be s(-8). Let a = 27 - 31. Let k be u + (-4 - 12/a). Sort -4, k, -2 in descending order.
-2, -4, k
Let q = -0.45 + 0.05. Let j = 0 - q. Let c = 28 - 27. Sort c, 3, j in decreasing order.
3, c, j
Let d(l) be the second derivative of l**4/6 - l**3/6 - l**2 - 6*l. Let z be d(2). Sort -5, z, 3 in ascending order.
-5, 3, z
Let i = -169 - -167. Sort -21, i, -0.2, -3 in increasing order.
-21, -3, i, -0.2
Let m(v) = -2*v**2 + 6*v - 6. Let y be m(1). Let r(f) = f**2 + f + 2. Let u be r(y). Put 1, 5, u, -5 in decreasing order.
5, u, 1, -5
Suppose -7*g + 109 = 11. Sort -4, g, -3, 2 in descending order.
g, 2, -3, -4
Let v be 5/(-2)*(-21 - -4 - -1). Suppose 3*l = -5*m + v, -l - 5*m = -2*l - 20. Suppose -y + 0 = -6. Sort 1, y, l in ascending order.
1, l, y
Let q(c) = c**3 - 7*c**2 + 8*c - 7. Let r be q(6). Suppose i = 3 - 2. Suppose 0 = 952*p - 967*p - 75. Sort p, i, r.
p, i, r
Let f = 61 + -61. Let j = 29 - 34. Put f, 5, j, 4 in descending order.
5, 4, f, j
Let i be 51/(-17)*1/(-12). Sort -4, i, 178, 2 in increasing order.
-4, i, 2, 178
Let n = -1 - 4. Let c = 4 + -3.9. Put c, 5, n in decreasing order.
5, c, n
Suppose 39*a - 36*a + 150 = 0. Let k be ((-24)/a)/4*(-5)/(-1). Sort -0.2, k, 5 in descending order.
5, k, -0.2
Let j = 5 + 1. Let x = -3 + -1. Let q(v) = -v**2 + 7*v + 102. Let s be q(14). Put j, s, x in decreasing order.
j, s, x
Suppose 0*c + 12 = 4*c. Let s be (c/(-12)*0)/(-1). Suppose 4*m = -0*m + 2*f + 30, s = 4*m + 4*f. Sort m, -3, 3.
-3, 3, m
Let z be (5/(-10))/((-1)/(-16)). Let c = -6 - z. Suppose 0*x - x - 8 = 4*o, 2*x = -c*o - 10. Sort 3, 4, o in decreasing order.
4, 3, o
Let w(s) = -4*s - 2. Let p be w(-1). Let q = -243 + 248. Put p, q, 7, 4 in increasing order.
p, 4, q, 7
Let b(m) = -m**3 - 6*m**2 + 7*m - 5. Let n be b(-7). Suppose -5 = 3*g + 2*u, 27*u - 1 = -5*g + 26*u. Sort n, 0, g, -1 in decreasing order.
g, 0, -1, n
Let j(d) = -2*d + 34. Let w be j(14). Let f = -3 - 2. Sort w, -0.4, f, 0.4 in decreasing order.
w, 0.4, -0.4, f
Let v be 5*(-1 - 0 - 0). Suppose -3*h = 5*y - 22, 0 = y - 22*h + 27*h - 22. Put -27, v, y in descending order.
y, v, -27
Let h = -1106 - -1108. Sort -2, -15, h in descending order.
h, -2, -15
Suppose -2*r = -2*s + 2, 3*s - 5*r = -2 + 13. Put 2, s, -1, 44 in ascending order.
s, -1, 2, 44
Let b be (-1*5)/(1 + 0). Suppose -2 = 4*u + 2. Let g be (-4)/6*37/(-74). Sort b, u, g in descending order.
g, u, b
Let p = 13.7 + -13. Let t = 0.2425 + -5.2425. Sort p, t, 3/4 in descending order.
3/4, p, t
Let m = 18.79 + -18.59. Put 16, m, -1/4 in decreasing order.
16, m, -1/4
Let c = 1.3 + 2. Let n = -53 - -56. Let g = n - c. Put -1/7, 0, g in increasing order.
g, -1/7, 0
Let w = 0.443 - -68.757. Let x = 58 - w. Let p = 11 + x. Sort p, 3, 0.1 in descending order.
3, 0.1, p
Let q = 1 + -1.2. Let y be 6*4/16*-6. Let b be 3/y - (-1)/5. Sort q, -4/7, b.
-4/7, q, b
Let i = 25.5 + -25. Let c = 0 + i. Let n be ((-1)/10)/((-1)/(-2)). Sort n, c, 0.01 in decreasing order.
c, 0.01, n
Let s = 128 + -128.42. Let f = 0.62 + s. Put -4, f, -2 in increasing order.
-4, -2, f
Suppose -3*y - k + 1 = 0, -y - 2*k - 4 = 2*y. Sort 40, y, 5.
y, 5, 40
Let r = 87.5 - 125. Let f = 37 + r. Let s(b) = b**3 - 8*b**2 - 10*b + 6. Let k be s(9). Sort 0.3, f, k in increasing order.
k, f, 0.3
Let c(z) = z + 6. Let x be c(-3). Let n = -399 + 398. Sort n, x, -0.4 in descending order.
x, -0.4, n
Let v(i) = i**3 + 3*i**2 + 2*i - 1. Let r be v(-2). Suppose h - 5*h = u + 13, 3*h + 3*u = -3. Suppose -n + 2*n - 1 = 0. Sort h, r, n in increasing order.
h, r, n
Let g = -32/9 + 47/9. Let j = -803 - -806. Let k = 0.5 + -0.3. Sort k, g, j in decreasing order.
j, g, k
Let b be 1 + (-4 - (2 - 4)) - 4. Suppose -6 = -2*q, -1 - 2 = 3*k - 3*q. Sort -4, b, k.
b, -4, k
Suppose 4*l = -w + 2*w + 11, 2*w = 10. Let c(p) = -p. Let n be c(0). Suppose n = -0*b + 4*b. Put l, b, -5 in increasing order.
-5, b, l
Suppose 4*x - 20 = 2*o, -o - 4*x + 32 = -5*o. Let f(n) = n**2 + 8*n + 15. Let y be f(o). Sort -1, 4, 0, y in increasing order.
-1, 0, y, 4
Let k = 3.56 - 3.48. Sort 2, k, -2/3.
-2/3, k, 2
Let s be (-1333)/(-651) - 2/42. Let z be 2/((2 - 1)*-2). Put 1, 4, s, z in decreasing order.
4, s, 1, z
Let l be (-1)/3 + (-10)/150*-5. Sort 2, 4, l, 30 in decreasing order.
30, 4, 2, l
Let w = 18 + -21. Let r be w - (-2 - (-2079)/15). Let h = r - -140. Sort 5, h, -1/5.
-1/5, h, 5
Suppose 2*o + 17 - 5 = 0. Let c = -0.69 - -1.19. Put c, o, 2 in decreasing order.
2, c, o
Let j = -1030 + 1023. Let h(s) = -s**2 - 2*s - 3. Let u be h(-2). Put j, u, -5 in ascending order.
j, -5, u
Let v(c) = -2*c + 1. Let q be v(-1). Suppose 7*d + q = 4*d. Put d, -2, 1 in descending order.
1, d, -2
Suppose 4*x + 2*y = -28, 33*x - 5*y - 10 = 31*x. Put 12, -2, x in decreasing order.
12, -2, x
Let m = -3.2 - -4. Let a = m + -1. Suppose 0 = -15*t + 11*t - 16. Sort a, t, 1/2 in decreasing order.
1/2, a, t
Suppose -5*j + j = -4*b, -45 = -5*b - 4*j. Let t(c) = -c + 1. Let s be t(6). Put 0, s, b in increasing order.
s, 0, b
Let x = 16/45 - 5/9. Let l be (10/15)/1*(2 - 21/9). Sort l, x, -0.06 in increasing order.
l, x, -0.06
Let u(q) = -q + 6. Let g be u(-4). Let t(s) be the third derivative of -s**4/24 + 13*s**3/6 - 2*s**2. Let y be t(g). Sort y, 1, 4.
1, y, 4
Let l be (8 - 10)/(9 - 7). Put -4, l, -246 in decreasing order.
l, -4, -246
Suppose 5*d = -j + 33, 2*d + 2*j - 6 = -2*j. Let o be (-34)/7 - 1/d. Sort 0.5, o, 3, 0.1 in descending order.
3, 0.5, 0.1, o
Let i = 386 - 1157/3. Put 1, 2/3, 15, i in decreasing order.
15, 1, 2/3, i
Suppose -110 = 15*m + 25. Sort m, 1, 4 in descending order.
4, 1, m
Let k = 0.09 + -0.29. Let b = 0 + k. Sort b, 2/5, 5 in decreasing order.
5, 2/5, b
Suppose 0 = -4*c + 31 + 69. Let w be (-10)/c - 77/(-5). Let b be ((-3)/(-10))/(w/(-20)). Sort b, 3/4, -0.3.
b, -0.3, 3/4
Let f(n) = n**3 - n**2 - 2*n + 3. Let m be f(2). Let r = 580 + -583. Suppose 0 = 5*g - 5 - 5. Sort r, g, m in increasing order.
r, g, m
Let w = 0.8 + -0.3. Sort w, 3, -4, -2 in ascending order.
-4, -2, w, 3
Let f = 624 - 613. Put 16, 3, f in decreasing order.
16, f, 3
Suppose -s = -0*s. Suppose 5*o - 32 = -2*h, 12*o = 8*o - 3*h + 20. Let g be -2*(-3)/o - 69/12. Sort -1, s, g in increasing order.
g, -1, s
Let v = 767 + -770. Let o be (2/(-10))/(6/18). Sort v, o, 5 in increasing order.
v, o, 5
Suppose 4*l - 361 = -373. Put -5, -2, 3, l in decreasing order.
3, -2, l, -5
Let o(p) = -p. Let u be o(-2). Let r = 61 - 37. Let q = 18 - r. Sort -1, q, u.
q, -1, u
Let r = -12459/2 - -6097. Let b = r + 133. Put -4, 3, b in descending order.
3, b, -4
Let s(k) = -k**2 + 17*k + 21. Let p be s(18).
|
{
"pile_set_name": "DM Mathematics"
}
|
w many minutes are there between 9:18 PM and 3:31 AM?
373
How many minutes are there between 2:52 PM and 10:38 PM?
466
How many minutes are there between 6:25 AM and 5:47 PM?
682
What is 54 minutes after 10:08 PM?
11:02 PM
What is 337 minutes after 6:34 AM?
12:11 PM
How many minutes are there between 3:29 PM and 7:44 PM?
255
How many minutes are there between 9:56 AM and 10:59 AM?
63
What is 101 minutes before 5:01 AM?
3:20 AM
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10:58 PM
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520
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38
What is 675 minutes before 11:28 PM?
12:13 PM
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1:33 AM
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1:11 AM
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588
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3:32 AM
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647
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7:47 PM
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420
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490
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1:44 AM
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359
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647
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176
What is 597 minutes after 12:24 PM?
10:21 PM
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688
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237
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3:52 AM
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535
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496
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71
What is 186 minutes after 10:03 PM?
1:09 AM
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4:11 PM
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1:33 AM
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96
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12:14 PM
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453
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539
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231
What is 592 minutes before 6:21 AM?
8:29 PM
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153
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719
What is 690 minutes before 9:00 AM?
9:30 PM
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7:12 PM
What is 625 minutes before 10:18 PM?
11:53 AM
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520
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165
How many minutes are there between 3:04 AM and 3:15 AM?
11
What is 400 minutes after 4:49 AM?
11:29 AM
How many minutes are there between 4:33 PM and 12:23 AM?
470
How many minutes are there between 6:55 PM and 7:37 PM?
42
How many minutes are there between 9:58 PM and 10:48 PM?
50
What is 526 minutes after 6:37 PM?
3:23 AM
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708
How many minutes are there between 5:34 PM and 12:43 AM?
429
How many minutes are there between 11:43 PM and 6:10 AM?
387
What is 158 minutes after 4:34 PM?
7:12 PM
What is 260 minutes after 12:38 AM?
4:58 AM
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3:02 PM
What is 492 minutes before 7:53 PM?
11:41 AM
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291
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9:46 PM
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473
What is 252 minutes after 12:52 AM?
5:04 AM
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595
What is 136 minutes after 4:51 AM?
7:07 AM
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708
What is 466 minutes after 2:30 PM?
10:16 PM
What is 264 minutes before 7:13 PM?
2:49 PM
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624
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12:43 AM
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588
What is 53 minutes before 10:03 PM?
9:10 PM
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697
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265
What is 51 minutes after 5:02 PM?
5:53 PM
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9:08 PM
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7:25 PM
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2:53 AM
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4:42 PM
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2:06 AM
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491
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508
What is 618 minutes before 11:57 PM?
1:39 PM
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2:54 PM
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589
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372
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11:07 AM
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10:27 AM
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526
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310
What is 592 minutes before 6:52 PM?
9:00 AM
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5:29 AM
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3:03 AM
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5:51 AM
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507
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1:35 AM
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3:44 AM
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14
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366
What is 292 minutes after 10:08 AM?
3:00 PM
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7:44 AM
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184
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6:01 AM
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3:48 AM
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385
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576
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405
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159
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432
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121
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597
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7:44 AM
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322
What is 652 minutes after 4:51 AM?
3:43 PM
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7:10 PM
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111
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596
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675
What is 250 minutes after 4:40 PM?
8:50 PM
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570
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584
What is 573 minutes before 9:35 AM?
12:02 AM
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11:06 PM
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7:00 AM
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719
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4:57 AM
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8:08 PM
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5:39 AM
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360
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592
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1:37 AM
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504
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448
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2:26 AM
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11:49 PM
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657
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10:44 PM
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524
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209
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8:15 PM
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209
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3:54 AM
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260
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705
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331
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10:55 PM
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612
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2:39 AM
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323
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578
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158
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209
What is 492 minutes after 4:08 PM?
12:20 AM
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466
What is 69 mi
|
{
"pile_set_name": "DM Mathematics"
}
|
7*f**2.
9*f**2
Collect the terms in 1184*f + 2262 + 3463*f - 1131 - 1131.
4647*f
Collect the terms in -30*k**3 + 2 + 78*k - 2 - 132*k + 36*k**3 + 65*k.
6*k**3 + 11*k
Collect the terms in 43*j**3 + 33*j**3 + 38*j**3 + 32*j**3 - 151*j**3.
-5*j**3
Collect the terms in -171*n**3 + 439*n**3 + 218*n**3 + 3693 - 1847 - 1846.
486*n**3
Collect the terms in 13*y**3 + 185*y + 8*y**3 - 363*y - 4*y**3 + 178*y.
17*y**3
Collect the terms in 14694287005922 - 8*b - 14694287005922.
-8*b
Collect the terms in -50152*i + 2*i**2 + 50152*i + 5*i**3.
5*i**3 + 2*i**2
Collect the terms in 5042*i + 10 - 10 - 23024*i.
-17982*i
Collect the terms in -34*m + 4*m**2 - 3*m**2 + 38*m + 3*m**2 - 3*m**2 - 17*m.
m**2 - 13*m
Collect the terms in 26103*c**2 + 20*c + 26126*c**2 - 52296*c**2 - c**3.
-c**3 - 67*c**2 + 20*c
Collect the terms in -11172*s - 1 + 1 + 40*s**3 + 11172*s.
40*s**3
Collect the terms in -1211*j + 3447*j - 1599*j.
637*j
Collect the terms in 11198*v - 22390*v + 1406 + 11193*v.
v + 1406
Collect the terms in 1085*q - 460*q + 1523*q + 7*q**2.
7*q**2 + 2148*q
Collect the terms in 5*b + 2*b - 573153 - 574205 + 1147358.
7*b
Collect the terms in 102984*l**3 + 4755*l**3 - 16586*l**3.
91153*l**3
Collect the terms in 41*b - 151*b + 40*b + 40*b - 12*b + 42*b + 2*b**3.
2*b**3
Collect the terms in 6 + 4 + 1 - 8047*j**2 - 11 + 10*j.
-8047*j**2 + 10*j
Collect the terms in 189082*h**3 - 1684 + 1684 + 189086*h**3 - 378170*h**3.
-2*h**3
Collect the terms in 2*o**2 - 144*o + 136*o**2 + 88*o + 114*o**2 + 56*o.
252*o**2
Collect the terms in -253960*k**2 - 253928*k**2 + 507891*k**2.
3*k**2
Collect the terms in 24*r - 2 + 248*r**3 - 132*r**3 + 337*r**3.
453*r**3 + 24*r - 2
Collect the terms in -8755*i**2 - 2320*i**2 + 0*i + 0*i + 3270*i**2.
-7805*i**2
Collect the terms in 13978*o**2 + 7056*o**2 + 21367*o**2 + 2189*o**2 + 10583*o**2.
55173*o**2
Collect the terms in 192089*k + 194157*k - 386219*k - 1.
27*k - 1
Collect the terms in -6*d - 164 - 122 - d - 147 + 601.
-7*d + 168
Collect the terms in 330176 - 82536 - 82586 - t**2 - 82524 - 82530.
-t**2
Collect the terms in 4 - 4 - 313085*d - 1140784*d.
-1453869*d
Collect the terms in 4*m - 78695 - 6*m - 65217.
-2*m - 143912
Collect the terms in 150*a**2 - 424213 + 61*a - 47*a**2 + 424215.
103*a**2 + 61*a + 2
Collect the terms in -872*x**2 + 4645*x**2 - 717*x**2.
3056*x**2
Collect the terms in 288 + 90 + 53571*k - 107151*k + 53582*k.
2*k + 378
Collect the terms in -4 - 2415*q - 1282*q + 4 + 3697*q + 25*q**3.
25*q**3
Collect the terms in -147*y - 173*y + 24280 - 24280 - 176*y + 491*y.
-5*y
Collect the terms in 520*b**3 + 20820324 - 20820324.
520*b**3
Collect the terms in 0*i - 792459 - 1116 - i.
-i - 793575
Collect the terms in 0*s**2 + 2 - 415*s**3 - 161*s + 416*s**3 + 6*s**2 - 2.
s**3 + 6*s**2 - 161*s
Collect the terms in -32989389*u + 10 + 32989389*u + 4*u**2.
4*u**2 + 10
Collect the terms in 8 + 3009*c**3 - 22 + 14 + 3.
3009*c**3 + 3
Collect the terms in 48 + 15*j - 81 - 101 + 13*j.
28*j - 134
Collect the terms in 4402*s**3 - 2216*s**3 - 62*s**2 + 60*s**2 - 2226*s**3.
-40*s**3 - 2*s**2
Collect the terms in -11*y + 25*y + 340 - 18*y + 1390.
-4*y + 1730
Collect the terms in -2703 + 8*w - 2699 - 2694 + 13493 - 2699 - 2698.
8*w
Collect the terms in 329 - 652 - 16*k**2 + 321 + 25*k**2.
9*k**2 - 2
Collect the terms in 142 - 517 - 5*f + 110 - 3*f + 124 + 140.
-8*f - 1
Collect the terms in -37444*c - 37342*c - 37349*c + 112107*c.
-28*c
Collect the terms in 12*d**2 + 12*d**2 - 52*d**2 - 5 + 24*d**2.
-4*d**2 - 5
Collect the terms in -401327*n**2 - 27 + 27.
-401327*n**2
Collect the terms in -3*h - 500*h**2 - 3*h + 6*h + 243*h**2.
-257*h**2
Collect the terms in 1340 + 1724 + 2*v**2 - 411.
2*v**2 + 2653
Collect the terms in 6712 - 6712 - 363286*k**2.
-363286*k**2
Collect the terms in 4*s**2 + s**3 + 15 - 5*s**2 + 0*s**2 + 2*s**3 + 3*s**2 + 0*s**3.
3*s**3 + 2*s**2 + 15
Collect the terms in -326 + 104 + 631*f**3 + 173*f**3 + 110 + 112.
804*f**3
Collect the terms in 226 - 561*o**2 - 41*o + 42*o + 549*o**2.
-12*o**2 + o + 226
Collect the terms in -67367*z - 1087 + 1087.
-67367*z
Collect the terms in 135 + 15*b - 131 + 9*b - 134 - 161.
24*b - 291
Collect the terms in 2979961363*i**3 + 0 + 0 - 2979961303*i**3.
60*i**3
Collect the terms in -369*v**2 - 1 + 484*v**2 + 1 - 560*v**2.
-445*v**2
Collect the terms in -1515567*k**2 - 5194509*k**2 - 2132828*k**2.
-8842904*k**2
Collect the terms in 3032144049*w**2 - 1 + 1 - 3032144049*w**2 + 17*w**3.
17*w**3
Collect the terms in 34198*h**3 - 34200*h**3 - 745232 + 745232.
-2*h**3
Collect the terms in -62976*h + 1 - 4 - 133733*h + 3.
-196709*h
Collect the terms in 116349*s - 58174*s - 132*s**3 - 58177*s.
-132*s**3 - 2*s
Collect the terms in -2971*h - 2683*h + 5670*h.
16*h
Collect the terms in 276*r**2 + 60*r**2 + 202*r**2 + 157*r**2 - 169*r**2.
526*r**2
Collect the terms in 11*n + 7*n + 43067 + 2*n - 3*n.
17*n + 43067
Collect the terms in h + 7328*h**2 - 21253*h**2 + 9644*h**2.
-4281*h**2 + h
Collect the terms in 8667 + 8664 - 34666 + 2*c + 8660 + 8661.
2*c - 14
Collect the terms in 0 + 36*c**3 + 0 - 6173*c**3 - 998*c**3.
-7135*c**3
Collect the terms in 58436*u - 116817*u + 58422*u.
41*u
Collect the terms in -74784046 + 1455*i**2 + 74784020 - 1453*i**2.
2*i**2 - 26
Collect the terms in -28*x**2 + 166 + 84*x**2 - 26*x**2 - 487 - 20*x**2.
10*x**2 - 321
Collect the terms in -2*q**2 - 4831*q + 1689*q + 3*q**2.
q**2 - 3142*q
Collect the terms in 975528 - 975531 - 30*r - 28*r.
-58*r - 3
Collect the terms in 253*l**2 - 144*l**2 + 25*l**2 - 51*l**2 - 3*l**3.
-3*l**3 + 83*l**2
Collect the terms in -213*l**3 - 188*l**3 + 93 + 29 + 82*l**3 + l**2.
-319*l**3 + l**2 + 122
Collect the terms in -10131*l**2 + 10279*l**2 - 2 + 4 - 2.
148*l**2
Collect the terms in 846821 + 6*z**3 - 3*z**3 - 2*z**3 + 3*z.
z**3 + 3*z + 846821
Collect the terms in 122*h**3 - 330*h**3 + 14*h**3 + 72*h**3 + 126*h**3.
4*h**3
Collect the terms in -72150*h**2 + 175938*h**2 + 284009*h**2 - 8*h**3.
-8*h**3 + 387797*h**2
Collect the terms in 62 - 345 - 240 + 17*d - 19*d - 39.
-2*d - 562
Collect the terms in 465 + 475 - 1399 - 5275*p**2 + 459 + 5278*p**2.
3*p**2
Collect the terms in 347*t**2 - 20*t + 39*t - 172*t**2 - 19*t - 204*t**2.
-29*t**2
Collect the terms in -16*v + 293*v**2 - 12*v + 15*v - 6*v + 17*v.
293*v**2 - 2*v
Collect the terms in 109*w**3 + 1094*w**3 + 827*w**3 - 359*w**3 + 115*w**3.
1786*w**3
Collect the terms in 5 + 6 - 4198*d - 7 - 12.
-4198*d - 8
Collect the terms in t**2 - 343*t**3 - 2388*t**3 - 6631*t**3.
-9362*t**3 + t**2
Collect the terms in 96*h**2 - 370*h**2 + 88*h**2 + 95*h**2 + 226 + 92*h**2.
h**2 + 226
Collect the terms in -125424*r**2 + 20654*r**2 - 47010*r**2 - 55579*r**2.
-207359*r**2
Collect the terms in 1789*m + 1676*m + 1706*m - 5155*m.
16*m
Collect the terms in -124*v**2 + 1341*v - 61*v**2 + 41*v**2 - 76*v**2.
-220*v**2 + 1341*v
Collect the terms in -3 + 0 + 13564*x + 3 + 9999*x.
23563*x
Collect the terms in -47423*v**3 + 6838*v**3 + 79*v**2 - 79*v**2.
-40585*v**3
Collect the terms in 0*m**2 + m - m**2 - 31242 + 3844 - m**2 - m**2.
-3*m**2 + m - 27398
Collect the terms in 102*v + 80 + 97*v - 15.
199*v + 65
Collect the terms in -128791*u**2 + 386422*u**2 - 128816*u**2 - 128822*u**2.
-7*u**2
Collect the terms in -38*a**2 - 26*a**2 - 9*a**2 - 11*a**2 - 17*a**2 + 135*a**2.
34*a**2
Collect the terms in -37*c - 126*c - 20*c - 18*c + 150*c.
-51*c
Collect the terms in -3221*s - 23 + 1 + 25 - 3.
-3221*s
Collect the terms in -1175*h + 2748*h + 1120*h + 703*h + 120*h + 1356*h.
4872*h
Collect the terms in -19858*m - 1110269 + 555129 + 555140 + 19860*m.
2*m
Collect the terms in 6510*i + 4867*i - 29 - 12863*i.
-1486*i - 29
Collect the terms in -163*p**2 + 185*p**2 + 280 - 558 + 2*p - 2*p + 278.
22*p**2
Collect the terms in -3610*q + 20429*q**3 - 18 + 18 + 3610*q.
20429*q**3
Collect the terms in 18*k + 6*k**2 + 271045 - 271045.
6*k**2 + 18*k
Collect the terms in 5426*q**2 + 14149*q**2 + 24649*q**2 + 13548*q**2.
57772*q**2
Collect the terms in -14397*v**3 - 35503*v**3 + 1357*v**3 + 3832*v**3.
-44711*v**3
Collect the terms in -81236*o**2 + 278*o + 162473*o**2 - 81245*o**2.
-8*o**2 + 278*o
Collect the terms in -2 - 109375*c + 54854*c + 54582*c.
61*c - 2
Collect the terms in 7504*p**3 - 23102*p**3 + 7573*p**3 + 7633*p**3.
-392*p**3
Collect the terms
|
{
"pile_set_name": "DM Mathematics"
}
|
5*a + 0 = -4*p - 2, -4*p - 4 = 4*a. Suppose -5*g - 3*n - 20 + 73 = 0, -a*g + 10 = 4*n. Calculate the greatest common factor of g and 143.
13
Suppose 298*n = 300*n - 48. What is the greatest common factor of 680 and n?
8
Let k = 2820 - 785. What is the greatest common factor of k and 220?
55
Let f be 6 + -1 - (-9 + 14). Suppose -n + 5 = 0, f = 2*i - 4*n - 29 + 13. Suppose i*g - 75 = 13*g. Calculate the greatest common divisor of 6 and g.
3
Let x(t) = t**2 - 4*t - 11 - 5*t - 8 + 13. Let q be x(15). What is the highest common factor of q and 21?
21
Let t(v) = 142*v - 2246. Let o be t(16). What is the greatest common factor of 4407 and o?
13
Let u be (-32826)/(-18) - (-8)/24. What is the greatest common factor of 570 and u?
114
Suppose 2*m = 2*g - 20, 3*m = 4*g - 3*g - 20. Let q be 3/1 + -1 + m. Let n be q + 80*(-1)/(-10)*4. Calculate the highest common divisor of n and 232.
29
Suppose -109 + 5 = -3*f + 4*i, 146 = 4*f + 2*i. What is the highest common divisor of f and 2868?
12
Suppose -1035*i + 27336 = -1029*i. What is the greatest common factor of 68 and i?
68
Suppose 4*q + 17*q - 16000 = 5*q. What is the greatest common divisor of 8 and q?
8
Let j = 154 + -147. Suppose 36 = j*h - 3*h. Calculate the greatest common factor of h and 39.
3
Suppose -6*u + u = -135. Suppose -5*p = d - 262, -5*d + u = p - 35. Suppose 11*w = 21*w - 130. What is the greatest common divisor of w and p?
13
Suppose 0 = 7*l + l - 232. Let b = -18 + l. Suppose 6*p = 101 - b. What is the greatest common divisor of 3 and p?
3
Suppose 0 = -9*p + 7*p + 4*s - 70, 0 = -5*p - 4*s - 119. Let m be 18/p*(-66)/4. What is the highest common divisor of 2 and m?
1
Let g = 231 - 118. Suppose 5*d - 5 = 0, 2*p = 4*p - 3*d - g. Calculate the greatest common divisor of 87 and p.
29
Suppose -4*b + 10*s = 13*s - 458, -b + 8*s = -132. Suppose 235 = z + 3*z + 3*y, -4*y = -2*z + 112. Calculate the greatest common factor of b and z.
58
Suppose 255*n = -57*n + 918840. What is the highest common divisor of n and 190?
95
Suppose 4*i - 5*g = 37821, 545 = 5*g + 510. What is the highest common factor of i and 224?
56
Let l(m) = -11*m + 178. Let p(u) = -20*u + 353. Let h(y) = -5*l(y) + 3*p(y). Let r be h(22). Calculate the greatest common factor of r and 472.
59
Let a be (-2 - 1) + (-2478)/(-17 - -10). Let r = -181 + a. What is the highest common factor of 68 and r?
34
Let x be 2/((-4)/(-30)) + -6 + 5. Suppose 4*n = -6 + x. Suppose -n*m + h = -38, 3*m + 0*h + h - 52 = 0. Calculate the greatest common factor of 144 and m.
18
Let c be (-28)/((-30229)/(-25270) - 18/15). What is the highest common factor of c and 168?
56
Let y(d) = -99*d - 231. Let p be y(-11). Calculate the highest common factor of 507 and p.
39
Suppose 0*h = -2*h. Suppose h = 8*o - 60 - 356. Calculate the highest common divisor of o and 156.
52
Let w(d) = -d + 10. Let f(c) = 2*c - 8. Let h(m) = 4*f(m) + 5*w(m). Let v be h(4). Calculate the highest common divisor of v and 105.
15
Let g be (6 - -4) + (-62)/3*-3. What is the greatest common factor of g and 22104?
72
Let u be 1448/24 + 2/(-6). Let h(r) = -10*r**3 + 42*r**2 + 84*r. Let c be h(-2). Calculate the greatest common factor of c and u.
20
Suppose 16*n - 705 = -65. Suppose -35*p + 45*p = n. Calculate the greatest common divisor of 28 and p.
4
Let v = -1697 - -1865. Calculate the greatest common divisor of 448 and v.
56
Suppose -3*d = -2*t - 402, 9*d = 5*t - 7*t + 1158. What is the greatest common factor of d and 3770?
130
Suppose 111*g + 1344 = 127*g. Suppose -458 - 326 = -14*u. What is the greatest common divisor of g and u?
28
Let t(m) = 2*m - 62. Let z be t(-29). Let y be -10 + z/(-12) + 1 + 436. What is the highest common factor of y and 23?
23
Let u be ((-12)/15)/((-10)/575). Suppose k = 2*q + 6, 4*k + 8 = -3*q + 32. Let w be (-18)/k + (1 - -94). Calculate the greatest common factor of w and u.
46
Let y = 896 + -2767. Let u = y + 2651. What is the highest common factor of u and 60?
60
Suppose 4 = -4*m + 52. Suppose 16*p - 67864 = -52*p. Let b = 1001 - p. What is the greatest common divisor of b and m?
3
Suppose 3*m - 2*f + 6 = 0, -4*m + 2*f = -5 + 11. Suppose 7*a - 3057 - 590 = m. Suppose -6*b + a + 343 = 0. Calculate the highest common divisor of 36 and b.
36
Suppose -3*y + w + 18 = 2*y, y - 10 = -3*w. Suppose -6*d = -5*i - 3*d - y, 0 = i + 5*d - 16. What is the greatest common factor of 11 and i?
1
Let l(p) = -2*p**3 + 5*p**2 + p - 2. Let a be l(-1). Suppose -4*s = a*b - 44, s - 44 = -3*s - 5*b. Calculate the greatest common divisor of s and 1.
1
Let d be (-3607)/25249 + 365/7 + -1. Suppose 0 = 5*l - 354 - 326. What is the greatest common divisor of l and d?
17
Suppose 4*a + 2*v - 38 = 0, -a - 239*v + 14 = -243*v. Suppose 0 = z, -2*k + 290 + 170 = 5*z. Calculate the highest common factor of a and k.
10
Suppose 468*w = 1429*w - 3844. Let y(d) = d**3 - d**2 + d + 46. Let n be y(0). What is the highest common divisor of n and w?
2
Let q(h) = h**2 + 9*h - 16. Let n(x) = x**3 + 9*x**2 - 22*x - 13. Let f be n(-11). Let k be q(f). Calculate the highest common divisor of k and 36.
36
Let o(i) = -i**3 + 2*i**2 + 2*i + 24. Let n be o(-9). Let l = n + -648. What is the highest common factor of l and 3?
3
Let p = 14 - 2. Suppose 34*a + 350 = 41*a. Suppose 56*h - a*h = 504. What is the greatest common factor of p and h?
12
Let j = -25 - -37. Let v be (-6*2)/((-4)/30). Suppose 4*n = n + v. What is the greatest common divisor of n and j?
6
Let j be (4/6)/(6/(-936)). Let o = -102 - j. Suppose -o*l - 2*c = -4*l + 32, -2*c + 22 = l. What is the highest common factor of 6 and l?
6
Suppose 15 = 3*q, -3*i - 6*q - 1572 = -9*q. Let g = i + 578. Calculate the greatest common divisor of 767 and g.
59
Let f = 1929 - -3111. Calculate the greatest common divisor of 16 and f.
16
Suppose -32 = 4*a - 52. Suppose a*s - 156 = -3*p, s - 79 = -3*p + 65. Let k = -29 + p. Calculate the highest common factor of k and 6.
6
Let j = 404 - 416. Let d be (27/j)/(99/(-264)). Calculate the highest common divisor of d and 282.
6
Let r = 57 - 21. What is the greatest common factor of r and 6084?
36
Suppose -27 = -8*v + 21. Let z be ((-3)/1 - (-14)/v)*-12. Let m = 2 + z. What is the greatest common factor of 10 and m?
10
Let h = -2508 - -2549. What is the highest common divisor of h and 287?
41
Let k = 258 - 18. Let v be -3*1 + k/(72/12). What is the greatest common factor of v and 74?
37
Let x(p) = -535*p**3 - 43*p**2 - 14*p. Let i be x(-2). Calculate the greatest common divisor of 44 and i.
44
Let b = -461 + 464. Let w(p) = -20*p**2 + 2. Let m be w(2). Let r = b - m. What is the greatest common factor of 27 and r?
27
Suppose j + 8*m = 13*m + 473, -5*m - 2305 = -5*j. What is the highest common factor of j and 2?
2
Let s = 229 + -154. Suppose -3*b = 15, 6*x - s = x + 5*b. Suppose -x*p + 21 = -9*p. What is the greatest common factor of p and 63?
21
Let h be (-168)/16*(-3 + -1). Suppose 2*q + 31 - 346 = -13*q. What is the greatest common factor of q and h?
21
Suppose -4 = 2*s, 4*s + 29 = a - 21. Suppose 20*l = -1011 + 1571. Calculate the greatest common divisor of a and l.
14
Let u be 4 - (-65 + -6 + 10). Let n = -991 - -1030. Calculate the greatest common factor of u and n.
13
Suppose -29152 = -119*s + 15830. What is the greatest common divisor of 5859 and s?
189
Let n(r) = 80*r - 6. Let g(u) = 27*u - 2. Let w(d) = 7*g(d) - 2*n(d). Let p be w(3). Let y = -72 + p. Calculate the highest common factor of y and 143.
13
Suppose 334*s + 96*s - 624360 = 0. Calculate the greatest common divisor of 54 and s.
6
Let v(w) = w**2 - w. Let b be v(2). Let m(a) = 11*a**2 + 330*a + 34. Let h be m(-30). What is the highest common factor of b and h?
2
Suppose -12*j + 8*j = 4. Let y(m) = -2*m**3 - m**2 - 2*m - 1. Let k be y(j). Let v = -657 + 659. What is the greatest common divisor of v and k?
2
Suppose -c = -3, 3*j - 2*j + 2*c - 22 = 0. Suppose j*u - 20*u = 256. Let p = 104 - u. Calculate the greatest common divisor of 21 and p.
21
Suppose 3*f - 291 = -10*k + 173, -2*k = -4*f - 56. What is the highest common divisor of k and 27764?
44
Suppose 3*h - 2*h + 3 = -3*z, -4*z + 5*h + 15 = 0. Suppose -y = 3*a + 177 - 867, -3*y = z. Calculate the highest common factor of a and 46.
46
Let x = 441 - 423. Let w = -18 + 15. Let q be 18*(w/(-3) - -6). Cal
|
{
"pile_set_name": "DM Mathematics"
}
|
res?
0.0173374
How many seconds are there in one fifteenth of a hour?
240
What is 21/2 of a milligram in micrograms?
10500
What is 77692.4cm in nanometers?
776924000000
What is fourty-nine quarters of a gram in milligrams?
12250
Convert 470.0721l to millilitres.
470072.1
What is 0.55429ml in litres?
0.00055429
What is one fifth of a century in months?
240
What is 21494937.6 microseconds in days?
0.000248784
Convert 14411.56 weeks to days.
100880.92
How many litres are there in 3466.369ml?
3.466369
What is nineteen sevenths of a week in minutes?
27360
What is 3525.274ml in litres?
3.525274
What is three tenths of a century in decades?
3
How many litres are there in 657.1917 millilitres?
0.6571917
How many micrometers are there in twenty-one eighths of a centimeter?
26250
How many years are there in 7.81608 months?
0.65134
How many months are there in four thirds of a decade?
160
What is 27/4 of a gram in milligrams?
6750
Convert 44283.11nm to millimeters.
0.04428311
What is 711748.1mg in kilograms?
0.7117481
How many micrograms are there in 3/25 of a milligram?
120
How many millilitres are there in 18/5 of a litre?
3600
How many micrograms are there in twenty-five eighths of a milligram?
3125
Convert 824739.6 meters to micrometers.
824739600000
What is 13/5 of a litre in millilitres?
2600
How many grams are there in 4128.91kg?
4128910
What is five eighths of a meter in millimeters?
625
What is 3/10 of a decade in months?
36
What is 150211.3 litres in millilitres?
150211300
How many micrometers are there in 2714.98cm?
27149800
What is 15/4 of a litre in millilitres?
3750
How many years are there in thirty-one fifths of a decade?
62
What is twenty-one fifths of a centimeter in millimeters?
42
What is 0.7800727ng in milligrams?
0.0000007800727
Convert 2438.005ng to tonnes.
0.000000000002438005
What is 52/5 of a meter in millimeters?
10400
How many litres are there in 87144.88ml?
87.14488
What is 7/8 of a litre in millilitres?
875
What is four thirds of a minute in milliseconds?
80000
What is 18/5 of a kilogram in grams?
3600
What is 5.93753 micrograms in tonnes?
0.00000000000593753
How many nanometers are there in 3/40 of a millimeter?
75000
What is 30429.7 litres in millilitres?
30429700
What is 1/5 of a kilometer in centimeters?
20000
How many nanometers are there in 3/25 of a micrometer?
120
What is 4/3 of a day in hours?
32
How many micrograms are there in 21/4 of a milligram?
5250
What is 0.5875043 years in decades?
0.05875043
How many meters are there in fourty-six fifths of a kilometer?
9200
How many seconds are there in three fifths of a hour?
2160
What is 7/4 of a kilometer in meters?
1750
Convert 0.301356 decades to years.
3.01356
Convert 54861.04l to millilitres.
54861040
Convert 556.2251mg to micrograms.
556225.1
How many millennia are there in 120363.4 decades?
1203.634
How many days are there in 48.894984 minutes?
0.03395485
What is 0.6555464l in millilitres?
655.5464
What is twenty-six fifths of a microsecond in nanoseconds?
5200
Convert 3.761122 micrometers to centimeters.
0.0003761122
How many seconds are there in 1/27 of a week?
22400
What is 8.418817 seconds in microseconds?
8418817
Convert 0.4331831 tonnes to nanograms.
433183100000000
What is 63596.98 nanometers in kilometers?
0.00000006359698
How many millilitres are there in seven eighths of a litre?
875
Convert 256271.4s to minutes.
4271.19
How many litres are there in 583.4485ml?
0.5834485
How many nanometers are there in 13/5 of a micrometer?
2600
Convert 192.9139ng to grams.
0.0000001929139
Convert 6.56999ns to seconds.
0.00000000656999
How many milliseconds are there in 60356.82 days?
5214829248000
How many months are there in 21/5 of a century?
5040
What is fourty-six fifths of a milligram in micrograms?
9200
Convert 0.5806513 litres to millilitres.
580.6513
Convert 729412.1 milligrams to grams.
729.4121
What is 47/4 of a decade in months?
1410
What is 11/2 of a centimeter in micrometers?
55000
How many months are there in 149744.2 years?
1796930.4
Convert 0.6045396ml to litres.
0.0006045396
What is three eighths of a litre in millilitres?
375
Convert 863001.9 microseconds to milliseconds.
863.0019
How many minutes are there in 52.30857ms?
0.0008718095
What is 1.5441nm in micrometers?
0.0015441
Convert 159.8518um to centimeters.
0.01598518
How many years are there in 1/5 of a millennium?
200
What is 51/4 of a micrometer in nanometers?
12750
How many litres are there in 9.751253ml?
0.009751253
How many months are there in one sixth of a year?
2
How many litres are there in 52099.55 millilitres?
52.09955
What is eighteen fifths of a litre in millilitres?
3600
What is 59292.34 nanometers in meters?
0.00005929234
What is 31/2 of a century in decades?
155
Convert 54875.07 grams to tonnes.
0.05487507
What is 85527.92ug in grams?
0.08552792
Convert 7964.831ng to grams.
0.000007964831
How many years are there in 43/4 of a millennium?
10750
Convert 16258.41 litres to millilitres.
16258410
How many weeks are there in 16.7536173 hours?
0.0997239125
What is 97222.5 days in hours?
2333340
What is 3/8 of a microgram in nanograms?
375
What is 1/20 of a litre in millilitres?
50
How many nanoseconds are there in one twentieth of a microsecond?
50
Convert 1123.567 weeks to hours.
188759.256
What is 67427.26 days in minutes?
97095254.4
How many millilitres are there in 531757.9 litres?
531757900
Convert 0.5305282 centuries to months.
636.63384
What is seventeen halves of a litre in millilitres?
8500
Convert 54.59029 centuries to years.
5459.029
How many nanometers are there in 19/4 of a micrometer?
4750
How many millimeters are there in 11/2 of a meter?
5500
What is 3/25 of a litre in millilitres?
120
What is 21000.9321ms in days?
0.00024306634375
What is one fifth of a gram in milligrams?
200
How many grams are there in 6/5 of a kilogram?
1200
How many millilitres are there in 27/2 of a litre?
13500
How many litres are there in 8.186488 millilitres?
0.008186488
How many litres are there in 820054.5 millilitres?
820.0545
How many minutes are there in thirty-two ninths of a day?
5120
How many months are there in 4/3 of a millennium?
16000
How many millimeters are there in 13/4 of a meter?
3250
Convert 9985.809cm to kilometers.
0.09985809
What is 2.093979 millennia in decades?
209.3979
What is 184.7905ng in milligrams?
0.0001847905
What is 78.85474 litres in millilitres?
78854.74
How many kilograms are there in 81.72828 tonnes?
81728.28
What is 37413.33 weeks in minutes?
377126366.4
How many weeks are there in 98163273.6 milliseconds?
0.162307
Convert 19.95921l to millilitres.
19959.21
What is four thirds of a year in months?
16
How many millilitres are there in 1/4 of a litre?
250
What is 436.4017 weeks in seconds?
263935748.16
Convert 7.429439km to nanometers.
7429439000000
Convert 0.8126582 nanograms to tonnes.
0.0000000000000008126582
Convert 440.333 days to nanoseconds.
38044771200000000
What is fifty-three quarters of a tonne in kilograms?
13250
How many years are there in 51/4 of a millennium?
12750
How many litres are there in 73.50876 millilitres?
0.07350876
How many months are there in 45/2 of a decade?
2700
How many centuries are there in 29/2 of a millennium?
145
What is seven quarters of a millennium in months?
21000
What is 11463.363us in days?
0.0000001326778125
Convert 16641410.31 nanoseconds to weeks.
0.000000027515559375
How many centimeters are there in 871.2745nm?
0.00008712745
What is 3/5 of a minute in milliseconds?
36000
What is twenty-five quarters of a litre in millilitres?
6250
Convert 471387.28 days to weeks.
67341.04
How many millilitres are there in twenty-nine halves of a litre?
14500
What is 0.3877417um in millimeters?
0.0003877417
Convert 99.8055ug to grams.
0.0000998055
What is 711199.3ug in milligrams?
711.1993
How many years are there in 583355.8 millennia?
583355800
Convert 42173.58 weeks to milliseconds.
25506581184000
What is 0.5833806 hours in nanoseconds?
2100170160000
Convert 91936.08ml to litres.
91.93608
What is six fifths of a litre in millilitres?
1200
What is nineteen quarters of a hour in seconds?
17100
What is 32.17727 millilitres in litres?
0.03217727
How many months are there in 8/3 of a year?
32
Convert 852504.9ng to grams.
0.00085250
|
{
"pile_set_name": "DM Mathematics"
}
|
f g and (-2 - -4) + (-3)/(-2).
20
Let b(p) = p + 10. Let u be b(0). Suppose -2 + u = q. What is the smallest common multiple of q and 3?
24
Suppose 0 = -4*p - 6 + 18. Suppose -p*l + y = -10, -l + 3*l = -2*y - 4. Calculate the least common multiple of 138/7 + l/7 and 20.
20
Let z be ((-5)/21)/(14/2268). Let s = -2234/63 - z. Find the common denominator of 22/5 and s.
45
Let j = 865/12 + -6565/84. Find the common denominator of ((-6)/(-30))/((-24)/(-1070)) and j.
84
Let n(g) = -4*g + 40. Let y(f) = -f + 13. Let h(l) = -2*n(l) + 7*y(l). Calculate the smallest common multiple of h(-10) and 10.
10
Let i(w) = w**3 + 7. Let k = -36 + 42. What is the lowest common multiple of k and i(0)?
42
Suppose -2*h + 10 = -7*h. Let g be (-2)/4 - (-3)/h. What is the common denominator of (-26)/24 + (g - -4) and -45/14?
84
Let t = 1001/2 + -3473/7. Let l = 1/1355 + 109751/5420. Find the common denominator of t and l.
28
Let c = 6 - 3. Suppose -42 + 131 = 5*w + 3*g, g - 51 = -c*w. Suppose n - 1 = 1. What is the smallest common multiple of n and w?
16
Suppose -63 = -4*o + 17. Calculate the lowest common multiple of o and 32.
160
Suppose -2*b - 4 = -18. Calculate the smallest common multiple of 2 and b.
14
Let f(y) = y**3 + 4*y**2 + 4*y + 4. Let m be f(-4). Let r = m + 44. Let s = r + 15. What is the common denominator of s and 49/10?
10
Let y be 4629/27 - (-1)/(-4). Let q = y - 1426/9. Let a = 7133/4 + -1769. Find the common denominator of q and a.
4
Let n = -2/323 - -3561/1292. Calculate the common denominator of n and ((-118)/((-10)/5))/7.
28
Suppose 0 = -g + 6*g - 570. Calculate the common denominator of (2/6)/((-20)/g) and -13/11.
110
Calculate the smallest common multiple of 10/(-30) - (-55)/3 and 1.
18
Let g = 107 + -17. Let d(s) = 4*s**3 + s**2 - s. Let z be d(1). Suppose -z*w = w - g. What is the smallest common multiple of 22 and w?
198
Calculate the lowest common multiple of (-6 - -3) + 182 - -3 and 4.
364
Let n(y) = 2*y**2 - 5*y + 3. Let w be n(5). Let o(g) = g**2 + 10*g + 7. Let l be o(-7). Let v = l + w. Calculate the least common multiple of 22 and v.
154
Let c(b) = b + 12. Calculate the lowest common multiple of 4 and c(-10).
4
Suppose -l - 9 = -2*d, 6*d = 2*d - l + 3. Let u be (d/(-6))/(3/(-45)). Suppose u*q - 14 = 3*q. Calculate the smallest common multiple of q and 2.
14
Suppose -4*r + 9 - 1 = 0. Suppose -r*v + 98 = -2*m, -2*v = v - 3. What is the common denominator of m and 25/8?
8
Let h = 4397/10 + -439. Let d be 3 - (-3)/9*-3. What is the common denominator of 65/9*d/4 and h?
90
Suppose -2*g + 6*g = 28. Suppose 0*s + 16 = 4*k - 4*s, 2*k = 5*s - 1. What is the least common multiple of k and g?
7
Let o = -7 - -39. What is the least common multiple of o and 16?
32
What is the common denominator of -1/3 and ((-314)/20)/(210/50)?
42
Let a = -109/5 - -102/5. Suppose -3*d + 0*d + 9 = 0. Find the common denominator of (d/(-1))/((-21)/(-22)) and a.
35
Let x = -3629/246 + -222/41. Suppose 3*w = -5 - 1. Find the common denominator of x and 18/(-15)*w/4.
30
Let u = -5/649 - -27343/11033. Calculate the common denominator of u and 31/4.
68
Let p be (-10 - -8)/(1/24). Calculate the least common multiple of (2 + -1)/((-12)/p) and 7.
28
Suppose 0 = -2*y - 3 - 5, y - 11 = -3*h. Calculate the least common multiple of h and 6.
30
Let g(s) = s + 2. Let i be g(-2). Suppose -2*v + 4 = 2*v, 2*h + 4*v - 432 = i. What is the common denominator of h/(-20) - 0/(-4) and -25/6?
30
Let f = -139 - 4. What is the common denominator of 131/6 and f/(-20) + (-3 - 0)?
60
Let i(r) = r**2 + 3*r - 5. Let o be i(-5). Suppose u - o*l + 3 = -l, -1 = 2*u - 3*l. Calculate the least common multiple of u and 3.
3
Suppose -2*f = -5*q + 44, 3*q + 5*f - 41 = 4. Suppose q = 4*n - 22. What is the smallest common multiple of 4 and n?
8
Let q(v) = -3*v - 8. Let j be q(3). Suppose h - 3 = -36. Let z = j - h. What is the smallest common multiple of 4 and z?
16
Find the common denominator of 1/1 - (-126)/70 and (-34)/4*14/10.
10
Let v = -567 - -23803/42. Calculate the common denominator of v and 101/12.
84
Suppose 5*s - s + 20 = 0. Let m(h) = -1 - 2 - h + 5. What is the least common multiple of m(s) and 10?
70
Let i = 51/76 - 8/19. What is the common denominator of i and 39/8?
8
Let c be 4/(-6) - 3113669/(-561). Let n = c + -5554. What is the common denominator of (-14)/16*11 - -2 and n?
88
Calculate the lowest common multiple of 21 and 30/2 - (-5 + (10 - 2)).
84
Let x be 16/(-58)*(22 + 1). Let n = x + 2371/232. What is the common denominator of n and 21 + ((-30)/(-8) - 4)?
8
Let o = -3272 - -585692/179. Let r = o - 8262/1253. What is the common denominator of (-103)/(-4) - (4 - 3) and r?
28
Suppose -2*u + 37 = -5. Calculate the smallest common multiple of u and 3.
21
Suppose 4*a - 40 - 24 = 0. Suppose 3*p = 4*s + 7, 2*s - p = 2*p - 11. Calculate the least common multiple of a and s.
16
Let z = 236/43 + 1/86. Calculate the common denominator of z and 69/8.
8
Let u = 60413/11 - 5488. Let k = -2004 - -9989/5. What is the common denominator of k and u?
55
Let a = 99/65 + 3817/780. Find the common denominator of a and 71/4.
12
Let u = 283 - 199. Calculate the common denominator of (-214)/u - 2/7 and -26/9.
18
Let y = 1716 - 3523/2. Let z be (-42635)/(-18760) + (-2)/7. Let u = 26/67 + z. Calculate the common denominator of u and y.
8
Let b be (-16)/(-80) - (-1214923)/199890. Let o = b + -2/11105. What is the common denominator of o and -85/16?
144
Let m(s) = -s + 14. Calculate the least common multiple of m(7) and 8.
56
Find the common denominator of (-1)/3*(-5)/(25/(-355)) and -17/28.
84
Let p = 2 - -14. Find the common denominator of (423/24)/((-6)/(-8)) and 126/p - 12/(-4).
8
Let x = 3089/2 - 1573. Calculate the common denominator of -83/14 and x.
14
Let f(j) = -j**3 - 6*j**2 + 9*j + 10. Let r be f(-7). Let w be 3/(-12) - 201/r. Calculate the common denominator of -53/2 and 255/w*(-14)/(-12).
20
Calculate the lowest common multiple of 5 and (-4 + 2)/(-2)*7.
35
Calculate the least common multiple of ((-3)/9)/((-1)/18) and 10.
30
Let a be 593/(-204) + (-2)/2. Let d = -434/51 + a. Find the common denominator of d and -3 - ((-183)/(-60) - 4).
60
Suppose 3*y + 0*y + 87 = 2*d, -4*d - 4*y = -184. What is the least common multiple of 30 and d?
90
Let s = 20 + -6. Suppose -5*p - 4*a = -52, 19 = 5*p - a - 43. Calculate the least common multiple of p and s.
84
Let a(n) = n**3 + 4*n**2 + 5. Let u be a(-5). Suppose 0 = -0*b - 4*b + 112. Let d = u + b. What is the lowest common multiple of 7 and d?
56
Let k = 12281/11726 - 1/533. Find the common denominator of 15/22 and k.
22
Suppose -2*d + 5*d + 9 = 0. Let m be (-2 + 3)*(-15)/d. Let y(g) = 2*g. What is the lowest common multiple of y(m) and 8?
40
Let n(q) = 4*q**2 + 0*q**2 + 1 - 2*q**2 + 1 - 4*q. Calculate the lowest common multiple of 2 and n(2).
2
Let c(u) = u**2 + u - 8. What is the smallest common multiple of c(4) and 22?
132
Calculate the common denominator of -1 + 186/14 - 4 and -15/7.
7
Let d be (-9)/(-2) + 4/8. Let a = 8 - d. Suppose 0 = a*h + 4*v - 46, -8 = -h - 3*v - 2*v. What is the lowest common multiple of h and 4?
36
Let v = -4204/385 + 40/77. What is the common denominator of v and -41/13?
65
Let k(z) = z**2 + 12*z - 9. Calculate the smallest common multiple of k(-13) and 11.
44
Let a(p) = 8*p**2. Let m be (-11)/2 + 1/2. Let q(v) = v**2 + 3*v + 2. Calculate the lowest common multiple of q(m) and a(-1).
24
Let f = 9/238 - -5795/952. Find the common denominator of -95/14 and f.
56
Let v = 52 + 14. Calculate the lowest common multiple of 10 and v.
330
What is the common denominator of (-40)/3*(-60)/(-75) and -29/18?
18
What is the smallest common multiple of 11 and 4/10 - (-69)/15?
55
Suppose -3*u = d - 14, 2*u + 3*d = -0*u + 7. Calculate the lowest common multiple of u and (-4 + (-28)/(-8))*-2.
5
Let p = -24198/7 + 4517453/1302. Let f = -374/31 - p. Calculate the common denominator of f and -71/6.
6
Suppose 40*o = 46*o - 12. Let u = 8 - 2. Suppose l - u = -0. What is the lowest common multiple of l and o?
6
Suppose 3 = 3*k - 33. Suppose -m + k = -0*m. Find the common denominator of 32/7 and ((-2)/10)/(m/(-590)).
42
What is the smallest common multiple of 2/(-8) - ((-106)/8 - -4) and 3?
9
Let l(h) = -h + 9. Calculate the lowest common multiple of l(4
|
{
"pile_set_name": "DM Mathematics"
}
|
j be f(-3). Suppose -4*a - 2*z + j = 0, -151 + 1 = -b*a + 3*z. Does 7 divide a?
False
Let z(r) = -r**2 - 13*r - 10. Let v be z(-11). Let a be 0 + v/(6 + -2). Suppose 0 = a*p - 54 - 45. Does 27 divide p?
False
Let q be (-15)/90 + (-50)/(-12). Is (-2)/q - (-1215)/30 a multiple of 9?
False
Let t be ((-2)/(-4))/((-8)/(-48)). Suppose -t*u = -5*u. Does 8 divide (-3)/(u + 6/(-46))?
False
Let n = 3697 + -826. Is 11 a factor of n?
True
Suppose -4*m - 2*m + 2838 = 0. Is 12 a factor of m?
False
Let h(a) = -a + 1. Let d be h(3). Let c(t) = t**2 + 4*t + 1. Let r be c(d). Let s(k) = -3*k**3 - 8*k - 3. Is 34 a factor of s(r)?
True
Suppose -50 + 750 = 5*u. Is u a multiple of 46?
False
Suppose -25*i - 3476 = -10151. Does 49 divide i?
False
Let l be 33/55 + 46/(-10). Is (-386)/l*(-1)/(2/(-4)) a multiple of 15?
False
Suppose -5*z + 169 = 29. Is 28 a factor of z/6*(-2 - -8)?
True
Let i = 1211 - 785. Is i a multiple of 53?
False
Let o = 482 + -227. Is 8 a factor of o?
False
Suppose -3*a - 20 = -5*r, -20 = -5*r - 4*a - 0*a. Suppose -y - 6 = -r*y. Is 82/6 - y/(-6) a multiple of 7?
True
Let z(n) = n - 25. Let m be z(15). Is (-1)/((-5)/m) - -36 a multiple of 17?
True
Let s(z) = -z**2 + 26*z - 5. Suppose 46 = 25*d - 23*d. Does 8 divide s(d)?
True
Let h be (-1)/(-3) - ((-304)/(-12) - -5). Let j = -7 - h. Is j a multiple of 3?
False
Let t(s) = -6*s + 5. Suppose 0*f - 2*f - 2 = 2*h, 26 = -5*h + 2*f. Is t(h) a multiple of 4?
False
Suppose -2*b + 16 - 66 = 4*k, -2*k - 3*b - 19 = 0. Let q be (8/(-6))/(k/273). Is 8 a factor of q + (-1)/(4/8)?
True
Let l(v) = -v**2 + 12*v - 7. Let j be l(11). Let d be 4592/49 + 2/7. Suppose -36 = -2*q - 3*k + 7*k, 3*q - d = -j*k. Is 26 a factor of q?
True
Suppose 0 = -7*i + 24*i - 510. Is i a multiple of 10?
True
Is (9/6)/(46/3404) a multiple of 4?
False
Let h = -40 + 26. Let r be 2/(-2)*h/7. Suppose 72 = -0*s + r*s. Does 11 divide s?
False
Suppose -4*m - 2*d - 16 = 0, -2*m + 4*d - 19 + 1 = 0. Does 31 divide (6/(-10) - (-121)/(-5))*m?
True
Let c be -177*2/(-10) + (-4)/10. Does 12 divide (24/(-7))/((-5)/c)?
True
Let f(d) be the first derivative of -17/2*d**2 + 5 - 1/3*d**3 - 19*d. Is f(-15) a multiple of 11?
True
Let x = -82 - -674. Does 60 divide x?
False
Let x(v) be the second derivative of -v**5/20 - 11*v**4/12 - v**3/3 - 3*v**2 + 6*v. Let b be x(-10). Let s = b - -132. Is s a multiple of 23?
True
Is 10 a factor of (0 - 7 - -5) + 2 + 180?
True
Suppose -41*o + 576 = -33*o. Is 24 a factor of o?
True
Suppose 0 = -4*h - 4*c + 112, -5*c + 66 = 2*h - 2. Suppose 35 - 92 = -4*s + k, 0 = -2*s - 4*k + h. Is s even?
True
Let i be (-10)/(-4) - (-11)/(-22). Suppose 0 = -5*y + 2*w + 3 + i, 0 = -y + 5*w - 22. Suppose y*f + f = 248. Does 12 divide f?
False
Let h(a) = -35*a**3 - a**2. Let m be h(-1). Suppose 0 = 3*d - m - 14. Let w = d - 0. Is 11 a factor of w?
False
Let k(b) = b**3 + 4*b**2 - 3*b - 3. Let r(g) = g**2 + 12*g + 7. Let d be r(-11). Is k(d) a multiple of 5?
False
Let z(m) = 6*m**2 + 4*m + 4. Let n be z(-2). Suppose -c + 2*c - n = 0. Is 2/(-8) - (-65)/c even?
False
Let w(o) = o + 1. Let m be w(-5). Suppose -192 = 18*k - 498. Let b = k - m. Is 16 a factor of b?
False
Suppose -4*i = 2*w - 2, 2*i = 5*w - i - 44. Let d(a) = -9*a + 0 + w + 12*a + 10*a + 2*a**2. Is d(-7) a multiple of 3?
False
Let o = 634 - 187. Does 35 divide o?
False
Suppose -75*n + 2592 = -69*n. Is 24 a factor of n?
True
Let g(y) = y**3 - 5*y**2 - 6*y + 9. Suppose 8*q - 3*q - 4*d = -32, 2*q - 3*d + 17 = 0. Let i be (-56)/(-9) + q/18. Is 6 a factor of g(i)?
False
Suppose 2*j + f + 18 = 0, -2*j + f - 12 = 5*f. Let l be ((-2)/5)/((-2)/j). Is l/(-15) + (-1164)/(-45) a multiple of 7?
False
Let a(p) = -2*p**3 - 32*p**2 + 14*p - 28. Is a(-17) a multiple of 13?
True
Suppose 4*b - 2*b = -w + 280, b = 4*w - 1120. Suppose 9*d = 2*d + w. Is d a multiple of 2?
True
Suppose -5*c = -8*c. Let j be (6*5)/(6/28). Suppose c = -5*l - 20 + j. Is l a multiple of 17?
False
Let y be 47 - 3*12/(-9). Suppose 0*o + y = o. Is o a multiple of 15?
False
Let v = 80 + -75. Let w(l) = -l**2 + 14*l + 12. Is w(v) a multiple of 13?
False
Let f = -530 - -839. Does 10 divide f?
False
Let c be 9/6*8/3. Suppose -c*q = 1 - 5. Suppose -3*r + 11 = -q. Is 4 a factor of r?
True
Suppose -5 = -f + 4*d - 2*d, -3*d = 3*f - 33. Suppose f*i - 260 = 7*i. Is i a multiple of 23?
False
Let j(r) = -r**3 - 12*r**2 - 25*r + 29. Does 15 divide j(-12)?
False
Let i(r) = -13*r + 12. Let g = -11 - -6. Let j be i(g). Suppose -3*a + 0*a - 2*p = -j, -a + 23 = -2*p. Does 21 divide a?
False
Suppose 2*h - 2*q - 1006 = 0, 4*h - q - 2*q = 2010. Does 70 divide h?
False
Let w = 21 + 42. Let p(h) = 0*h + w + h**2 + 0*h. Does 23 divide p(0)?
False
Does 26 divide (7/2 + 4)*(1 + 3)?
False
Let q = -2495 + 6110. Is 15 a factor of q?
True
Let d(r) = -10*r + 2. Let k be d(-3). Suppose -p - 4*m = p + 26, -4*m = 4*p + k. Is 15 a factor of (-2 - 50*-1) + p?
True
Let d(i) = 13*i**2 + 20*i - 173. Is 43 a factor of d(6)?
False
Let d(k) = 3*k - 56. Let h be d(17). Let t(u) = -u**3 - 2*u**2 + 5*u - 4. Is t(h) a multiple of 7?
False
Is 13 a factor of 247/((-12)/((-96)/2))?
True
Let x = -220 + 640. Is x a multiple of 9?
False
Let l(y) = 3*y + 28. Suppose m = -4*s + s - 6, -4*m = -4*s + 24. Is 10 a factor of l(m)?
True
Let c(y) = 35*y**2 - 5*y + 6. Let d be c(2). Suppose -2*x + d = 86. Does 5 divide x?
True
Suppose -4*o - 278 = -5*t - 2051, 0 = -3*t - 3. Suppose 5*v - 218 = o. Is 7 a factor of v?
False
Let y(c) = 10*c**2 + 5*c - 67. Let g(k) = -3*k**2 - 2*k + 22. Let u(x) = 7*g(x) + 2*y(x). Is 8 a factor of u(-6)?
True
Let b be 4/(-12)*-3 + -73. Is (129/(-4))/(27/b) a multiple of 13?
False
Let s = -1758 + 1818. Does 42 divide s?
False
Let n be ((-6)/(-15))/(1/5) + 352. Suppose -5*y = -2*y - n. Is y a multiple of 19?
False
Let n(i) = -3*i + 11. Let o be n(-23). Suppose -y = -o + 28. Is 4 a factor of y?
True
Let j be (24/(-8))/(0 - -1). Suppose 0*m - 5*m = 20. Is ((-174)/m)/j*-2 a multiple of 10?
False
Let y(c) be the third derivative of -c**4/24 - c**3 + 3*c**2. Let k be (8 - 7)/((-1)/13). Is y(k) a multiple of 2?
False
Let s(n) = n - 5. Let q be s(10). Suppose 5*g + 2 = -2*c, 0*c + q = -5*g - 5*c. Suppose 4*f + 18 - 122 = g. Is 13 a factor of f?
True
Let m(f) = -7*f + 7. Let v(j) = 20*j - 21. Let g(x) = 11*m(x) + 4*v(x). Let p be g(4). Suppose 5*z = -5*k + 135, -46 = -4*k - p*z + 62. Is 9 a factor of k?
True
Suppose 52*i = 54*i - 14. Let q(k) be the third derivative of -k**6/120 + k**5/10 + 3*k**4/8 - 7*k**3/6 - k**2. Is 2 a factor of q(i)?
False
Let b(h) = 15*h**2 - 11*h + 7. Let j(a) = -8*a**2 + 6*a - 4. Let o(t) = 6*b(t) + 11*j(t). Let n = 13 + -17. Is o(n) a multiple of 15?
True
Suppose 37*r = 6101 + 25941. Is r a multiple of 7?
False
Let a be (1 - 3)*1365/(-6). Suppose -h = 4*h - a. Does 17 divide h?
False
Suppose 5*c + 2*u = -386, 229 = -5*c - 4*u - 153. Let l = -38 - c. Is l a multiple of 9?
False
Is 19 a factor of -1724*(-3 + (-26)/(-13))?
False
Let x = -690 - -822. Is x a multiple of 33?
True
Suppose 4*u - 3*n = -14, 5*n + 4 = 3*n. Does 15 divide (-6)/(-10) - u/((-50)/(-1044))?
True
Suppose -158*u = -166*u + 11312. Is u a multiple of 73?
False
Let g be (10/(-4))/((-105)/84). Let r(w) = -23*w + 54*w - w**g - 10*w - 8. Does 17 divide r(16)?
False
Suppose 0*x = -5*x + 75. Suppose -2*k = 11*k + 13. Does 12 divide x + -1 - (k + 3)?
True
Suppose -5*k - 2 = -22, 624 = 5*y - 4*k. Let d = y - 100. Is d a multiple of 3?
False
Suppose 2*s + 9 - 1 = 0, 0 = o + 2*s - 1. Suppose o*g + 17 = 8*g. Let q = 59 - g. Is q a multiple of 19?
True
Let o(w) be the second derivative of w**4/3 - w**3/3 - w**2 + 3*w. Let x be o(-2). Let l = x + 18. Is l a multiple of 9?
True
Suppose 4*f - 13*r - 302 = -15*r, -3*r - 15 = 0. Is 3 a factor of f?
True
Let i(x) = 53*x**2 + 3*x - 2. Is 27 a factor of i(2)?
True
Suppose -r - 2 = -2*r, -26 = 2*w - r. Let d(i) = -i**3 + 5*i**2 - 8*i + 10. Let z be d(4). Is (z/1)/(2/w) a multiple of 9?
True
Suppose 198 = 16*m - 19*m. Let d = -40 - m. Suppose -d = -7*b + 156. Is b a multiple of 13?
True
Let k = 1042 - 723. Let t = k + -190. Suppose 0 = 3*n - j - t, -4*n + 215 = n - 4*j. Does 14 divide n?
False
Let k be (-24)/(-5) + 5/25. Suppose -3*d - 4*q + 2*q = 16, k*d - 5*q + 60 = 0. Let w = d + 39. Does 11 divide w?
False
Let f = -926 - -614. Let n = 200 + f
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1. Give g(h).
8
Let v(p) be the second derivative of -p**3/6 + 3*p**2 - 7*p. Calculate v(6).
0
Suppose -21 = -0*m - 4*m - 3*k, 0 = 3*m - 3*k. Let a(r) = r**2 - 4*r**2 - 5 + 5*r - 8*r + r**m. Let n be a(4). Let h(z) = 4*z**3 - z**2 - z - 1. Determine h(n).
-5
Suppose 0 = 4*d - 0*t - t + 11, 2*t = -d - 5. Let j(c) = 3*c - 3. Give j(d).
-12
Let o(h) = -10 + 4 - 104*h + 105*h. What is o(9)?
3
Let r(p) = -2*p + 4*p + 0*p - p + 11. Calculate r(-5).
6
Let y be (4 - 4 - 2) + 3 + -5. Let t(z) = 2*z + 2. What is t(y)?
-6
Let m(o) = -o**3 - 4*o**2 + 2. Let h = -57 - -87. Suppose 5*g - 5*p = -h, -2*g + 27 - 11 = 5*p. Let v = -5 - g. Determine m(v).
-7
Let k(j) = 6*j + 13. Let b(v) = -3*v - 7. Let m(s) = -7*b(s) - 3*k(s). Determine m(-7).
-11
Suppose -4*z - 12 + 0 = 0. Let t(r) = 5*r**3 + 2*r**2 - 3. Let d(y) = -6*y**3 - 3*y**2 - y + 4. Let n(g) = z*t(g) - 2*d(g). Determine n(-1).
2
Let k(p) = -p**2 + p + 3. Let v = 5 + -2. Suppose -v*o = -5*x + 2*o + 35, 5*x + 5 = -5*o. Determine k(x).
-3
Suppose -7*o = -3*o - 4. Let k(g) be the third derivative of 0 + 0*g + 0*g**5 + 1/120*g**6 + 0*g**4 - 2*g**2 - 1/6*g**3. What is k(o)?
0
Let t(w) = 5 - 4 - 6 + w. Give t(0).
-5
Let j(g) = g**3 + 6*g**2 - g - 5. Let c = 32 - 10. Suppose -5*a = c + 8. Determine j(a).
1
Let u(m) be the first derivative of -m**3/3 + 2*m + 9. Calculate u(-3).
-7
Let z(t) = -t**2 + 5. Suppose -4*r = -0*r + 2*r. Calculate z(r).
5
Let l(g) = g - 10. Let z be l(8). Let f(p) = p**3 + 4*p**2 + 2*p - 2. Give f(z).
2
Let p(i) = i**3 + i**2 - i + 13. Let j = 40 + -40. What is p(j)?
13
Let p(t) = 2*t + 3. Let r(n) = -n - 1. Let x(s) = p(s) + 4*r(s). Determine x(-3).
5
Suppose -23*t + 3 = 95. Let c(z) be the third derivative of -z**6/120 - z**5/15 + z**4/24 - 5*z**3/6 + z**2. What is c(t)?
-9
Let o be (27/36)/((-3)/(-2)). Let u(i) be the second derivative of -i + o*i**2 + 0 + 1/6*i**3. What is u(-4)?
-3
Suppose 3*h - 14 + 4 = -2*x, -x + 5 = 4*h. Let i(d) = -d - 5. Determine i(x).
-10
Suppose 2*z = -3*n + 3, -3*z - 5 = -7*n + 2*n. Let y(u) = 7 - u**2 + 0*u + z*u - 9 - 4*u. What is y(-4)?
-2
Let u(a) = a**3 + a**2 - 2*a + 1. Let m(i) = 4*i - 3*i + i**2 - 4*i - 3. Let k be m(4). Suppose f = -0 + k. Give u(f).
1
Let j(d) = d**3 + 5*d**2 - 5*d - 3. Let c be j(-6). Let u = 15 + c. Let q(m) be the second derivative of m**4/12 - m**3 - m**2 + 2*m. What is q(u)?
-2
Suppose 4*y - 9 = -3*f, -3*f + 19 = -y - 8*f. Let w be y*1/8*-4. Let z(i) = -i**3 - 5*i**2 - 2*i + 3. Determine z(w).
-9
Suppose 5*s + 2 = 12. Suppose 2 = -s*l - 4. Let i(g) = -g**2 - 2*g. Let m be i(l). Let r(v) = -v**2 - 2*v + 3. What is r(m)?
0
Let n be (-80)/(-30)*(-3)/(-2). Let z = 27 + -7. Suppose -n*i - z = i. Let j(h) = h**3 + 5*h**2 + 3*h - 2. Calculate j(i).
2
Let b(d) be the first derivative of -5*d**2/2 + 3*d - 3. Let t(a) = -26*a + 16. Let s(m) = -16*b(m) + 3*t(m). Calculate s(3).
6
Suppose 36 = 6*w - 9*w. Let x = w + 12. Let p(s) = s**3 + s - 6. Give p(x).
-6
Let u be (0 - -2)/(2/2). Let v(h) = -5*h - h**2 + u*h + 0 + 4 + 0*h**2. Determine v(-4).
0
Let o(r) = 7*r**2 + 10*r + 5. Let l(i) = i**2 + i + 1. Let h(y) = -6*l(y) + o(y). Let z = 6 + -6. Suppose -2*g + z*g - 6 = 0. Determine h(g).
-4
Let w(h) = -5*h + 8*h - 9 + 6. Calculate w(3).
6
Let z be (-3)/(-4) + (-6)/8. Let c(i) = -i + 4. Determine c(z).
4
Let v(y) = -3*y**2 - 1 + 7 - y + y**3 - 5. Determine v(3).
-2
Let o = 9 - 12. Let u(b) = b**2 - b. Determine u(o).
12
Let k(c) = -4*c - 6. Let y = 6 + -10. What is k(y)?
10
Let z(r) = 2*r**2 + 3*r + 3. Let a(p) = -7*p**2 - 8*p - 8. Let h = 4 - 15. Let b(d) = h*z(d) - 4*a(d). Give b(-1).
6
Let l(j) = j - 3 - 1 + 1. Let a = 95 - 90. Calculate l(a).
2
Suppose -2*b + 5*b = 12. Let r(c) = c. Determine r(b).
4
Let t(z) = z**3 - 2*z**2 - z - 4. Let h(r) = -r**3 - 5*r**2 - 5*r - 1. Let a be h(-4). Give t(a).
2
Let f(s) = s**3 + 6*s**2 + 3*s - 6. Let a(i) be the third derivative of -i**6/120 + i**5/5 - 5*i**4/12 - 8*i**3/3 + 3*i**2. Let w be a(11). Give f(w).
4
Let a(c) = c - 2. Let x = 3 - 0. Suppose x*q + 2*q = 0. Suppose -5*z + 19 + 6 = q. Calculate a(z).
3
Let t(h) be the second derivative of -1/6*h**3 + 1/24*h**4 + 0 + 3*h - 1/60*h**5 + 3/2*h**2. Let z(x) be the first derivative of t(x). What is z(2)?
-3
Suppose -6 = -4*r - 2*u, 30 = 5*r + u - 3*u. Let n(o) = 2*o - r*o - 1 + o + 6*o**3. Calculate n(-1).
-6
Let p(k) = k**3 + 6*k**2 + k + 1. Suppose -y = -4*y - 18. Determine p(y).
-5
Let b(m) be the second derivative of -m**3/6 + 5*m**2/2 + m. Let i(f) = -7*f + 1. Let q be i(1). Let a = -2 - q. Calculate b(a).
1
Let r(p) = p**2 + 3. Let u(l) = 2*l**2 + 4. Let g(h) = -5*r(h) + 4*u(h). Determine g(1).
4
Suppose -2*w = -2*f + 10, 5*f - 23 = f + 5*w. Let r(b) = 0 - f*b - 3 + 1. Determine r(-5).
8
Let o(x) = -x + 1. Let w(n) = n - 9. Let c(f) = -2*o(f) - w(f). Let l be c(-3). Let v(m) = 3*m + m**2 - 5*m - 5 - m**3 + l*m**2. Determine v(4).
3
Let u(w) be the second derivative of 0 - 2*w + 1/2*w**2 - 1/6*w**3. Let s be (3 - (1 - -1)) + -6. Give u(s).
6
Let l be 1*1/3*0. Let w(u) = -4*u**2 + l*u - 4*u**2 - 1 - u. Determine w(-1).
-8
Let a(c) = 3*c**2 - 3*c - 2. Let m be 1 - 2/3*-3. Let k(j) = m*j - 2*j + 0 + 1 + j**2. Let z(y) = a(y) - 2*k(y). What is z(5)?
-4
Let q(l) = -13*l**2 + 32*l + 32. Let p(j) = 5*j**2 - 11*j - 11. Let o(w) = 8*p(w) + 3*q(w). What is o(-6)?
-4
Let x(m) = 2*m**3 - 1. Suppose 4*b - 7 = -5*i, -3*i + 4*b - 2*b = 9. What is x(i)?
-3
Let n be (1/1)/((-6)/(-30)). Suppose -1 + 5 = 2*y. Let x(q) = q**2 + n*q**2 + 0*q**y. Calculate x(1).
6
Let j be -1 - (1 + -4 + -3). Let y(p) = -4 + j*p - p + 2*p - 4*p. Calculate y(5).
6
Let w(t) be the first derivative of 7*t**2/2 - t + 64. Give w(-1).
-8
Let q(b) = b**3 - 3*b**2 - 5*b + 5. Let i be -2*1*1 - -9. Let d = i - 3. Determine q(d).
1
Suppose -d + 4*d = -3. Let m be d/(2*3/30). Let h(a) be the second derivative of a**5/20 + 5*a**4/12 + 3*a**2/2 + 2*a. Determine h(m).
3
Let g(x) be the second derivative of -x**4/12 + x**3 + 9*x. Determine g(5).
5
Let a(s) be the third derivative of -s**4/12 + 2*s**3/3 + 4*s**2. Determine a(7).
-10
Let y be (-44)/(-10) - 2/5. Suppose -k - x + 8 = 0, 0 = 4*k - 2*x - 2 - 12. Let n(i) = i + 3 + k - 5. What is n(y)?
7
Let n(u) = 5*u. Let a(h) be the second derivative of -h**4/12 + h**3/2 + 3*h**2/2 + 2*h. Let p be a(4). Determine n(p).
-5
Let x(c) = c + 3. Let p(l) = 5*l + 8. Let q(i) = -i + 1. Let z(f) = p(f) + 4*q(f). Let s be z(-7). Let j be 3/(-15)*-4*s. Calculate x(j).
7
Let b(j) = -j - 1. Let s be -5*3/(4 + -1). Let g(a) = a + 7. Let m be g(s). Let h be b(m). Let i(q) = -3*q - 2. Calculate i(h).
7
Suppose 3*h = -3*a + 24, a = 5*h - 16 - 54. Let t(r) = h*r**2 - r + 3*r - 3*r**2 - 4*r + 1. What is t(1)?
9
Let a(m) = m**2 - 2*m - 2. Let z(c) = c**2 - 3*c - 6. Let d be z(5). Calculate a(d).
6
Suppose -2*a + 8 = -2. Suppose 0 = -a*b - 5. Let h(j) be the second derivative of 3*j**3/2 + 3*j. Give h(b).
-9
Let u(r) = -r - 2. Suppose f = -5*g - 2*f + 25, -2*g = 5*f + 9. Give u(g).
-10
Let w(g) = -g**2 - 2*g - 2. Let b be (-1)/((4 + -3)/2). Determine w(b).
-2
Let t(g) = g**2 - 8*g + 10. Let w be t(7). Suppose -5*p = -7*p. Suppose -3*f - w*l + 0 + 9 = p, 3*f + 4*l = 11. Let j(k) = 4*k**3 + k**2. Determine j(f).
5
Let b(o) = -20*o**2 + 3*o + 3 + 50*o**2 - 28*o**2 + o**3. Calculate b(-3).
-15
Let a(o) = 3*o**2 + o - 1. Let g(n) = 2*n + 4. Let x be g(-3). Calculate a(x).
9
Let d(t) be the first derivative of -3*t**2/2 + 5. Give d(-5).
15
Suppose 6*o + 24 = 2*o. Let k = -12 - o. Let m(z) = -z**3 - 6*z**2 - 2. Determine m(k).
-2
Let y(b) = -5*b + 9. Let i(k) = 12*k - 17. Let a(w) = 2*i(w) + 5*y(w). Calculate a(8).
3
Let w(u) = -6 + 10*u - 16*u + 0*u**2 + u**2. What is w(7)?
1
Let b(t) be the second derivative of -t**5/20 - 2*t**4/3 - 5*t**3/6 + 5*t**2 - 19*t. Calculate b(-7).
-4
Suppose -3*p + 2*p + 8 = 4*f, 5*p = -20. Let t(c) = c - 6. Give t(f).
-3
Let o be (6/8)/((-11)/(-44)). Let n(c) = -c**3 + 3*c**2 + 1. Calculate n(o).
1
Let t = -11 - -15. Suppose -f + t*f = 0. Let x(c) = -5 + 5*c**2 - 2*c**2 - 2*c**2. Give x(f).
-5
Let v(q) = -3*q + 3. Suppose 0*p + 28 = 4*p. Suppose -3*l = -p*l - 16. Let h(r) = r**3 + 5*r**2 + 2*r - 4. Let s be h(l). Calculate v(s).
-9
Let l be (6/2)/3*3. Let u(h) = 3*h - 2*h + l + 2. Suppose 0 = -2*o - 4 - 4. What is u(o)?
1
Let q(l) be the
|
{
"pile_set_name": "DM Mathematics"
}
|
6 = 0, w - 1 = 2*s + 9. Suppose i + 0 = 5*n - 11, 2*n + 2*i - w = 0. What is the highest common divisor of n and 18?
2
Let v(u) = 13*u**2 + 2*u - 4. Let y be v(3). Let n = 37 - 56. Let d = -2 - n. Calculate the greatest common factor of d and y.
17
Let b(j) = -6*j**3 - 2*j**2 + 2*j + 3. Let r be b(-2). Suppose -4*m = -5 - r. Let h = 402 + -281. What is the highest common divisor of h and m?
11
Let g = 11 - 6. Suppose g*k - 62 - 23 = 0. What is the highest common factor of k and 119?
17
Let q = -8 - -9. Calculate the greatest common divisor of 11 and q.
1
Let b be 3 + (2 - 0/(-4)). Suppose 2*z = -l + 10, l + 2*z - 10 = 5*z. Calculate the greatest common factor of b and l.
5
Let b(y) = y**2 + 5*y - 8. Let v be b(-7). Let j(f) = 11*f. Let n be j(v). What is the greatest common divisor of 6 and n?
6
Let t be (1 - 2)/((-2)/26). Let q = -9 + 22. Calculate the greatest common divisor of q and t.
13
Let b be 148/(-52) - (-4)/(-26). Let y be 1/b - (-14)/6. Let h be 1/(-3)*y*-6. Calculate the highest common divisor of h and 8.
4
Let r = 60 - 33. Let o(d) = d**2 - 6*d + 2. Let a be o(8). Calculate the highest common divisor of r and a.
9
Let y be ((-12)/(-9))/((-2)/(-195)). Let j = 274 - y. Calculate the greatest common divisor of 16 and j.
16
Let r be (0 - 3/3)*-4. Suppose -45 = -5*m + 5*g, m + 0 = 2*g + r. Suppose -l + 2*q = -4*l + 19, -2*l - 5*q = -9. Calculate the highest common factor of l and m.
7
Let q(f) = -f**3 + 6*f**2 + 5*f - 2. Suppose -3*x + 5 = -4*x. Let r be q(x). What is the greatest common factor of r and 31?
31
Suppose 1 = -u + y, -u + 3*y = 3*u + 1. What is the greatest common factor of 10 and u?
2
Suppose 0 = -d + 5*b + 10 + 35, 2*d = 4*b + 120. Calculate the greatest common divisor of d and 10.
10
Suppose 3*n - 3*r + 13 = r, -14 = -2*n - 3*r. Suppose -2*z - 3*z + 35 = 0. What is the highest common divisor of n and z?
1
Suppose 2*y = -3*a + 89 + 317, -545 = -4*a + y. What is the highest common divisor of a and 34?
34
Let x be (0 + -80)*-1*1. Calculate the greatest common divisor of x and 10.
10
Let r be -3*-3*4/18. Suppose -r*b = -5*b + 147. What is the highest common divisor of b and 7?
7
Let c = 0 - -18. Suppose m = -2*b + 66 + c, 0 = -3*m + 5*b + 274. Let s(f) = -f**2 + 8*f + 31. Let i be s(10). What is the highest common factor of i and m?
11
Let s be 1/2*14*-42. Let a be ((-30)/(-35))/((-1)/s). Suppose 987 = 5*z + a. Calculate the highest common factor of z and 21.
21
Let r(b) = 9*b - 12. Let s be r(2). What is the highest common factor of s and 2?
2
Suppose 3*f + 10 + 8 = 0. Let l = -6 - f. Let z be -2 - -1 - (l + -3). What is the highest common factor of 6 and z?
2
Let y = -36 + 53. Suppose 21 = -2*s + 123. What is the highest common factor of s and y?
17
Suppose -i + 2*w + 305 = 0, -w = i - 0*w - 293. What is the highest common divisor of i and 33?
33
Suppose -16*n + 21*n = 20. Suppose 0 = 3*q + 2*d + 1 - 19, 0 = -5*q - n*d + 32. Calculate the greatest common divisor of 32 and q.
4
Suppose 60 = 2*d + d. Let r(j) = 4*j**2 + j. Let c(a) = -a + 6. Let n be c(5). Let z be r(n). Calculate the greatest common factor of z and d.
5
Let d = -20 + 29. Suppose -z + 3*g + 12 + d = 0, -g = 5. Calculate the highest common divisor of 6 and z.
6
Let f(d) = -20*d**3 + d - 1. Let b be f(1). Let x = -9 - b. Suppose 2*i = 2*m + 123 - 363, 2*m - i = 241. Calculate the highest common factor of m and x.
11
Suppose l + 22 = 3*r, 5*r + 2*l = -0*r + 33. Calculate the highest common divisor of 56 and r.
7
Let k = 11 - 3. Let f = 6 - -2. What is the highest common factor of k and f?
8
Let a(b) = 3*b + 11. Let k be a(-8). Let u = 9 - k. Calculate the highest common divisor of u and 132.
22
Let w(m) = 3*m**2 + 10*m - 4. Let u be w(-8). Calculate the highest common divisor of 12 and u.
12
Suppose -4 = s, -3*b - 4*s - 6 = 1. Suppose b*v + 5*m = 20, 0 = 4*v + m + 2*m - 23. What is the greatest common factor of 25 and v?
5
Suppose 0 = -w + 4*t - 13, -3*w + 7*w = 5*t - 8. What is the greatest common divisor of w and 2?
1
Let a(y) = y**3 - 6*y**2 + 13*y - 8. Let d be a(8). Calculate the highest common factor of d and 32.
32
Let m(a) = -a**3 - 8*a**2 + 7*a - 6. Let r be m(-9). What is the greatest common divisor of r and 132?
12
Let y(s) = s + 6. Let b be y(-4). Suppose b*m - 32 = 4*p, m = -2*m - 4*p + 78. What is the highest common divisor of 220 and m?
22
Let u(h) = h**2 + 4*h - 9. Let m be u(6). Suppose 4*k + 34 = 5*k. What is the greatest common divisor of m and k?
17
Let z(x) = -x + 8. Let q be z(0). Suppose 10*w - 20 = 5*w. Suppose -2*m + 19 = 3*m - n, w*n = -m + 8. What is the highest common divisor of q and m?
4
Suppose -2*d + v = -0*d - 5, 5*d + 4*v = 32. Let f(c) = c**3 - 4*c**2 - 5*c + 6. Let o be f(5). Calculate the greatest common divisor of o and d.
2
Let l be 0/1 - -2 - 2. Suppose l = -0*z - 5*z + 60. Let i be 4*5*3/z. Calculate the highest common divisor of 5 and i.
5
Let j be (8/(-7))/(4/(-14)). Suppose -b = -j - 4. What is the greatest common factor of b and 2?
2
Suppose 0*a + a = 0. Suppose a*t + 13 = t. Calculate the highest common factor of t and 117.
13
Let d be 5/(-1 + (-46)/(-44)). Let p be (-60)/(-8) + 6/(-4). Suppose -26 + p = -2*q. What is the highest common factor of q and d?
10
Let g = -24 - -48. What is the highest common divisor of 3 and g?
3
Let v be (-1 - -1) + 1/1. Let m(y) = -y**2 + 2*y + 5. Let x be m(4). Let b = 10 + x. Calculate the highest common factor of b and v.
1
Let d(q) = 2*q + 25. Let c be d(-10). Calculate the highest common factor of c and 55.
5
Suppose 0*o + 12 = -3*o, 3*s - 30 = -3*o. What is the highest common divisor of 2 and s?
2
Let s = -7 + 23. Suppose 20 = l + 12. Calculate the highest common divisor of l and s.
8
Let y = 26 + -4. What is the highest common factor of y and 66?
22
Suppose -2*q = 3*q + 25, q = -4*s + 7. Suppose -4*u - 2 = 2*p, -3 = 4*u + 5. Let y be (p - -14) + 12/3. What is the greatest common factor of y and s?
3
Suppose -k - 10 = -30. Let j(s) = -29*s + 2. Let t be j(-2). What is the greatest common factor of k and t?
20
Suppose 4*z = -5*k + 30, -k - 3 = 2*z - 3*z. Calculate the highest common divisor of 2 and k.
2
Let j be -12*(84/(-9))/7. What is the highest common divisor of j and 96?
16
Suppose 27 + 153 = 5*u. Let n be 164/3 + (-12)/18. Calculate the highest common factor of u and n.
18
Let s(y) = -9*y - 10. Let r = -16 + 11. Let w(o) = -5*o - 5. Let v(a) = r*w(a) + 3*s(a). Let i be v(-7). Calculate the highest common divisor of i and 63.
9
Let d = 5 - 2. Suppose -9 - d = -4*g. Calculate the highest common factor of 24 and g.
3
Let m = 4 + -1. Suppose 3*d - m = 21. Let i = -9 + 17. What is the greatest common divisor of i and d?
8
Let o be (2/(-3))/(5/(-195)). What is the greatest common divisor of o and 143?
13
Let n = -29 - -73. Calculate the greatest common divisor of 11 and n.
11
Suppose -16*z + 240 = -11*z. Suppose 4*v + j = 65, -v = 2*v - 5*j - 43. Calculate the greatest common factor of v and z.
16
Let n = 26 - 14. Calculate the greatest common factor of n and 4.
4
Suppose 3*p = 2*p - 3*k + 16, k - 5 = 0. Let c = -5 - p. Let a be (-4)/c - (-312)/18. What is the greatest common factor of 144 and a?
18
Let q = -6 - -10. Let n = -5 + 7. Suppose -h - n*u = 0, 2*h - 38 + 6 = 4*u. What is the greatest common factor of h and q?
4
Let t be (3/2)/((-2)/(-4)). Suppose 2*f = 4*b - 12, t*b = -b - f. Calculate the highest common factor of 9 and b.
1
Let g be (36/(-30))/(2/(-60)). What is the highest common factor of 9 and g?
9
Let c be 0 - 2 - 54/(-4 + 2). Calculate the greatest common factor of 10 and c.
5
Suppose m + 2 = 4*t - 4, -5*m - 8 = 2*t. Let l be (-2 + t)/(3/(-15)). Let n be 16/6 - (-8)/(-12). Calculate the highest common factor of n and l.
1
Let t(p) = p**3 + 11*p**2 - 17*p + 10. Let q be t(-12). Calculate the highest common divisor of 10 and q.
10
Suppose 3*p = -2 + 32. Suppose 0 = -3*i - i + 8. Suppose 0 = i*f - 2 - 138. What is the highest common divisor of p and f?
10
Let q(v) = -v**3 + 6*v**2 - v - 4. Let g be q(3). Suppose -6*o + o - g = 0. Let d = 7 + o. What is the highest common factor of d and 12?
3
Let h(l) = -l**2 - 6*l + 8. Let v be h(-8). Let p = 8 - v. Suppose 3*g + 96 = 7*g. What is the highest common factor of p and g?
8
Let b be (-1*1)/(1/(-5)). Let r(d) = 2
|
{
"pile_set_name": "DM Mathematics"
}
|
= -80 + 77. Let h(x) = q*b(x) - 2*d(x). Determine h(-2).
0
Let r(m) = -4*m - 1. Let u(x) = 10*x + 9. Let n(z) = 3*r(z) + u(z). Give n(-8).
22
Let k(u) = -u**2 - 7*u - 8. Let a = -1592 - -1582. Calculate k(a).
-38
Let h(c) = c**3 + 18*c**2 + 16*c - 14. Let q be h(-17). Let m be -2 + (q - (-3 - 0)). Let p(b) = -b**3 + 4*b**2 - 2*b + 5. Calculate p(m).
-3
Let z(d) be the first derivative of d**4/4 + 5*d**3/3 + 4*d**2 + 5*d + 85. Calculate z(-5).
-35
Let d(s) = 1. Let p(x) be the second derivative of x**3/6 + 7*x**2/2 + 26*x. Let w(g) = -5*d(g) - p(g). Determine w(-11).
-1
Let c(x) = 26 - 55 - 6*x + 14 + 12. Let m be (5 - 3)*5/(-2). Calculate c(m).
27
Let r(j) = j**3 - 6*j**2 + 6*j - 7. Suppose 4 = 2*l - 2. Suppose 5*o - 66 = l*f + 26, 116 = -5*f - o. Let u be (-16)/f - 26/(-6). Calculate r(u).
-2
Let j(c) = -15*c + 6. Let t(k) = -3*k + 1. Let q(g) = j(g) - 4*t(g). Give q(2).
-4
Let i(r) be the third derivative of -r**4/24 + 4*r**2 + 22*r. Determine i(10).
-10
Let o(f) = f**2 - 6*f - 9. Let v(i) = -1. Let t(d) = o(d) - 3*v(d). Let p = -472 - -242. Let u = p + 236. What is t(u)?
-6
Let r(h) = -h**3 - 7*h**2 + 14*h - 33. Let y be r(-9). Let k(n) = n**3 - 4*n**2 + 5*n - 4. Calculate k(y).
2
Suppose 0 = 3*j - d - 0*d - 10, 5*j = -4*d + 45. Let s(l) be the second derivative of -5/12*l**4 + 2*l + 1/20*l**5 + 0 + 3*l**2 - 1/2*l**3. What is s(j)?
-9
Let w(d) = 16*d**3 - 1. Let l(u) = 5*u - 3. Let z be l(1). Suppose -2 = -3*c + 4*c + 3*y, -z = -c + y. What is w(c)?
15
Let x be (-48)/(-18) + 1/3 + 1. Let y(g) be the second derivative of -g**4/12 + g**3/3 - g**2/2 + 9*g. Calculate y(x).
-9
Let t(s) = -s**3 + 3*s**2 + s - 2. Suppose 5*m - 11 = w - 1, -4*m + 3*w - 3 = 0. Suppose -m*j = -5*p - 0*p + 5, p - 4*j = -16. Give t(p).
-14
Let p = -11 - -7. Let b(a) = -7*a**3 - 15*a**2 - 14*a - 7. Let m(t) = -11*t**3 - 23*t**2 - 21*t - 10. Let y(o) = 8*b(o) - 5*m(o). Give y(p).
6
Let k be -3 + (4 - 14/2). Let m be (3 + 1)/(12/k). Let c(w) = 2*w**3 + 2*w**2 + 1. Give c(m).
-7
Let b be 2/(-2)*60/20. Let g(k) = -k**2 - 4*k - 3. Give g(b).
0
Let z(a) = 7*a + 7. Let y(g) = -6*g - 5. Let f(r) = 5*y(r) + 4*z(r). Let v(i) = 2*i - 2. Let t be v(3). What is f(t)?
-5
Let z be 16/(-10) - (-6)/(-15). Let w(p) = 1 + 1 - 3589*p**2 + 3592*p**2. What is w(z)?
14
Let u(k) be the second derivative of k**7/2520 + 7*k**6/720 - k**5/10 + 7*k**4/3 + 18*k. Let f(j) be the third derivative of u(j). Calculate f(-9).
6
Let q be (-765)/7 + 2/(-21)*-3. Let x = q + 113. Let l(r) = -2*r + 2. Determine l(x).
-6
Let o(l) = l - 1. Let p(h) = -7*h**3 + 2*h**2 - h. Let v be p(1). Let q(g) = 7*g - 6. Let a(n) = v*o(n) + q(n). Determine a(0).
0
Let o(y) = y + 5. Let n be o(-5). Let c be -7 + 4 + n + 5. Let k(m) = -m + 5*m**3 - 2*m**c + 6*m**2 - 5*m**2. Calculate k(-1).
-5
Let f(d) = -d**2 + 2*d - 3. Let y(k) = 4*k**2 - 3*k + 2. Let b be y(1). Suppose -22*q + 21*q = -b. Suppose -q = -t - 0. Determine f(t).
-6
Let i be 4/6 + (-2)/3. Let f(v) be the second derivative of v**5/20 - v**3/6 + 113*v - 6. Give f(i).
0
Let h(x) = -x**3 - 15*x**2 + 16*x + 1. Suppose 4*u + 5*j + 54 = 0, 5*j = 5*u + 43 + 47. Give h(u).
1
Suppose 3*d - 2*d = 0. Let w(s) be the first derivative of 5 + 11*s - 1/2*s**2 + 0*s**3 - 1/4*s**4. What is w(d)?
11
Let a(y) = 6*y - 94 - 90 + 271 + 2*y - 86. What is a(-2)?
-15
Let u(n) = -n**3 + 1. Let g be u(0). Suppose 5*c - 21005 = 5*i, -3*i = 4*c - 6*c + 8407. Let z(q) = 4196 - c - 8*q. Calculate z(g).
-8
Let d(o) = -9*o**3 + 2*o + o**2 + 3 - 2 + o**2. Let a(u) = -u**2 - 10*u - 6. Let l be a(-9). Let w be (1/2)/(l/(30/(-5))). Give d(w).
10
Let r(o) = -3 + 3 - 2 - 2 + 22*o + 5. Determine r(1).
23
Let z(h) be the second derivative of h**5/20 + 5*h**4/12 - 2*h**2 - 104*h. Give z(-4).
12
Let l(c) be the third derivative of -c**4/6 + 14*c**3/3 + c**2 + 4. What is l(12)?
-20
Suppose -6 = j - 0*b - 4*b, 6 = -j + b. Let s(n) = n**2 + 6*n + 8. Determine s(j).
8
Suppose h - w = 17, -17*w = -2*h - 20*w - 1. Let c(m) = -2*m**2 + 18*m + 1. Let n(o) = o**2 - 9*o. Let p(y) = 4*c(y) + 7*n(y). Give p(h).
-6
Let m(y) = 4*y + 11. Let b(z) = 6*z + 20. Let i(f) = 3*b(f) - 5*m(f). Calculate i(0).
5
Suppose 3*g = -2*y + 5, g = 4*y - 2*g + 35. Let t(c) = -2*c - 3. Let a(b) = 3*b + 5. Let r(d) = y*t(d) - 3*a(d). What is r(8)?
8
Let p = 371 + -377. Let k(b) = -b - 3. Calculate k(p).
3
Suppose 1 = 2*q - 3*q. Let z be (-14 - -17) + q/(-1). Let h(r) = 5*r**3 - 5*r + 2. Let t(x) = -4*x**3 - x**2 + 5*x - 1. Let k(s) = -5*h(s) - 6*t(s). Give k(z).
8
Suppose -q + 6 = -g, -2*q - g - 22 = -7*q. Let h(a) = 7*a - q + 3 - 3 + 3. What is h(1)?
6
Let l(y) be the third derivative of -5*y**4/24 - y**3/6 - y**2. Let o(i) = 2*i**2 + 0 - 10 - 10*i - i**2. Let f be o(11). Give l(f).
-6
Let u be (-3)/(-1) - (-15 - -11). Suppose 30 + 5 = -u*d. Let b(i) = i - 2. What is b(d)?
-7
Let r(s) be the first derivative of -s**3/3 - s**2 + s - 195. Determine r(2).
-7
Let c be (2 + 2)/(-4) - -1. Suppose c*b = -4*b - p + 12, -2*p + 6 = 2*b. Let d(j) = b - 3 + j + 2. Give d(0).
2
Let f = -264 + 255. Let q(z) = -z**3 - 11*z**2 - 17*z + 7. Calculate q(f).
-2
Let c(j) = 3*j. Let q(n) = n**2 + 7*n + 9. Let z be q(-6). Let k(y) = y**2 - 7. Let o be k(z). Determine c(o).
6
Let l(q) = q**2 + 4*q + 4. Let o be l(0). Let s(x) = o*x - 8*x + 4*x + 3*x - 7. Determine s(6).
11
Suppose 2*t - 20 = 3*k - 6, -32 = 4*k + 4*t. Let z(s) = -s**2 - 12*s - 4. Calculate z(k).
32
Let q(a) = -a**2 + 2*a + 2. Suppose 3*l = -2*b + 38, 2*l - 50 = -l + 4*b. Let r be (9 - 7)*l/(-4). Let z = -3 - r. Calculate q(z).
-6
Let a(w) = -w**3 + 4*w**2 - 3. Suppose 66 - 738 = 14*d. Let h = 52 + d. What is a(h)?
-3
Suppose 30 = 8*m - 3*m. Let d(t) = 2 + 2*t**2 + 1854*t - 1849*t - 3*t**2 + 1. What is d(m)?
-3
Let c(n) be the third derivative of -n**8/6720 - n**7/840 + n**5/120 - 29*n**4/24 + 43*n**2. Let v(t) be the second derivative of c(t). Give v(-3).
1
Let p(i) = 23*i**3 - i - 1. Let k(c) = -2*c**3 - 4*c**2 + 13. Let a be k(-4). Let w = -78 + a. What is p(w)?
-23
Suppose 2*a - 3*y + 6 = 0, 1 = a + y + 4. Let f(m) = -3*m**2 - 2*m + 3. Determine f(a).
-18
Let z(p) = -2*p**3 + p**2 + 13*p + 2. Let j(s) = -s**3 + 6*s + 1. Let y(l) = -5*j(l) + 2*z(l). Let w be -4*4/(-2 + -2). Suppose -w*g = -1 + 13. Determine y(g).
2
Let l(g) = 3*g. Let r be l(-12). Let n = r + 38. Let m(u) = -u**3 + u**2 + u - 2. Determine m(n).
-4
Let y = 0 - 5. Let o(l) = -2*l**2 + 7*l + 6. Let n(b) = -b**2 + 6*b + 6. Let k(q) = 3*n(q) - 2*o(q). What is k(y)?
11
Let v(r) = -r**2 + 5*r - 5. Let a(x) = -x**3 + 4*x**2 - 2*x + 3. Let f be a(2). Let s be (-46)/3 - 6/9. Let k be f + (s/4)/4. Calculate v(k).
-11
Let l(u) be the second derivative of u**5/20 + u**4/2 + 5*u**3/6 - u**2/2 + 28*u. Determine l(-5).
-1
Let k(r) = 4*r**2. Let o(c) = -c**3 + 4*c**2 + 3*c - 1. Let g be o(-1). Determine k(g).
4
Let a(g) = -g**2 + 6*g - 2. Let u = -16 + 25. Suppose 7*h + 10 = u*h. Give a(h).
3
Let t(x) be the second derivative of x**3/2 + 361*x. Calculate t(4).
12
Let y be (-95)/3 + (-1)/3. Let i = 27 + y. Let x(s) = s**3 + 5*s**2 + 2*s - 1. Give x(i).
-11
Let y(u) = -u**3 + 4*u**2 - 5. Let l = 2 - 1. Let h be (-3 - 1) + (-6 - (-9 + -2)). Let q be l - h - (-40)/10. Determine y(q).
-5
Let a(f) be the first derivative of -f**4/4 + 4*f**3/3 + 5*f + 29. What is a(4)?
5
Let i(t) be the third derivative of t**5/20 - 5*t**4/8 + 7*t**3/6 + 178*t**2. Determine i(5).
7
Let s(z) be the third derivative of 13*z**5/60 + z**3/6 - 149*z**2. Determine s(-1).
14
Let v(j) = -5. Let r(d) = -d - 13. Suppose 4*g + 36 = -5*l, 2*g = -4*l - 24 - 0. Let x(y) = g*r(y) + 11*v(y). Determine x(2).
5
Let i(k) = 6*k**3 - 7*k - 12*k**3 - 2*k**3 + 7*k**2 + 7*k**3 + 3 + k**2. Determine i(7).
3
Let f(b) = b**3 - b**2 - b - 2. Let n = -1528 - -1528. Determine f(n).
-2
Let v(h) = 6*h + 8. Let l(c) = -5*c**2 + 67*c - 19. Let j be l(13). Let f(g) = -5*g - 7. Suppose 2*d + 18 = 5*d. Let r(p) = d*v(p) + j*f(p). Calculate r(2).
1
Let y = 121 + -59. Let g(q) = -55 - y + 110 - 8*q - q**2. Give g(-7).
0
Let a(t) = t + 4. Let h be a(-5). Let p be (-1 - (-6)/4)*4. Let r(q) = 2 + q - 3 + p*q. Give r(h).
-4
Suppose z + 4 = 2*q, -3*z + 3*q - 2*q = -8. Suppose z*n - 2 = 5*n. Let b(x) be the second derivative of -x**4/12 + x**3/6 - x**2/2 - 3*x. What is b(n)?
-7
Let a(c) = -4. Let i(b) = -2*b
|
{
"pile_set_name": "DM Mathematics"
}
|
Let p be ((-1)/(-2))/((-7)/(-126)). Suppose 0 = p*s - 170 - 208. What is the tens digit of s?
4
Suppose v + 2*h - 17 = 0, 1 + 7 = 4*h. Let x = 13 + v. Suppose 2*u = 26 + x. What is the units digit of u?
6
Let t(y) = 2*y - 7. Let j be t(6). What is the tens digit of (-20)/(-50) - (-193)/j?
3
Let c = -9 - 63. Let f = c - -94. What is the tens digit of f?
2
Let g = 17 + -15. Suppose g*m - 7 = 1. Suppose -m*l + l = -78. What is the units digit of l?
6
Suppose 0 = -24*i + 15589 - 469. What is the tens digit of i?
3
Let y(w) = 2*w**2 + w + 2. Let i be y(4). Let j = 73 - i. What is the units digit of j?
5
Let x = 40 + -24. Suppose -4*y + x = 4*d, 5*d - 10 = 2*y + d. What is the tens digit of ((-49)/(-5))/(y/5)?
4
Let m = -694 + 725. What is the tens digit of m?
3
Let l(u) = u**3 + 6*u**2 + 3*u + 14. Let z be l(-6). Let b(p) = -33*p + 24. What is the hundreds digit of b(z)?
1
Suppose 3*g - 7*g = -20. Let s(k) be the first derivative of -k**3/3 + 5*k**2 - 12*k - 160. What is the units digit of s(g)?
3
Suppose -5*j - 5 = -6*j. Suppose 351 = 2*g + t, 363 = g + g + j*t. What is the units digit of g?
4
Let v be -8 + (8 - 2) + -4. Suppose 2*c = 3*m - 2*m - 9, 4*c + 3*m - 7 = 0. What is the units digit of (10 + v)*c/(-1)?
8
Let z(y) = -4*y**2 + 7*y - 30. Let b be z(13). What is the units digit of b/(-21) - (-10)/(-35)?
9
Let f(y) = -2*y**2 + 162*y - 290. What is the thousands digit of f(66)?
1
Suppose 3*g - 559 - 3059 = 0. What is the units digit of g?
6
Suppose -4*t - 16 = -4. Let w be 1/(4/(-168)) - t. Let x = w + 68. What is the units digit of x?
9
Let q = -29 - -53. Let z be (q/20)/((-6)/(-20)). Suppose -23 + 119 = z*l. What is the tens digit of l?
2
Suppose -3*a + 823 = -5*z, 0 = 4*z - z - 3. Suppose -12 = -3*d + a. What is the tens digit of d?
9
Suppose -10*r + 3 = 3. What is the units digit of -1*1 + (r/5 - -2)?
1
Let n be (-4 + 1)*2/(-3). Suppose -5*f + n = -28. Suppose f = s - 0. What is the units digit of s?
6
Suppose 5*s + 2*d - 109 = d, -5*s = -d - 111. What is the tens digit of (38/(-3))/(s/(-18) + 1)?
5
Let z(t) = 2*t**2 - 16 - 2*t**2 + 2*t**2 - 19*t + 23*t. What is the tens digit of z(-7)?
5
Let f be (-14)/(-91) - (-2)/(-13). Let b be (1 + -1)/(f - 1). Suppose b*r = -r + 22. What is the tens digit of r?
2
Suppose -194*t - 2052 = -212*t. What is the units digit of t?
4
Suppose 0 = 2*k + 344 + 52. Let r = k - -313. What is the hundreds digit of r?
1
Let o be -100 + 2 + (1 - 4). Let f = -60 - o. What is the units digit of f?
1
Suppose 0 = -9*a + 4*a + 20. Let t(f) = -f**3 + 4*f**2 - 3. Let x be t(a). What is the units digit of 21 + 8/(-12)*x?
3
Let q(r) = -r**2 - r + 5. Let f be q(-5). Let z = 9 + f. What is the tens digit of 12/(-8)*124/z?
3
Suppose 0 = 2*s + 2*w - 8712, 3*s - w - 4957 = 8107. What is the hundreds digit of s?
3
Let k(q) be the first derivative of 5*q**4/4 - q**3/6 + 3*q**2/2 + 9*q - 3. Let f(g) be the first derivative of k(g). What is the units digit of f(2)?
1
Suppose 2*c = 4*c + 18. Let l be (-4)/(-2) - c/(-9). Suppose 4 = 3*u + l. What is the units digit of u?
1
Let x(z) be the first derivative of z**5/20 - z**4/24 - z**3/2 + 5*z**2/2 + 2. Let s(g) be the second derivative of x(g). What is the tens digit of s(-2)?
1
What is the units digit of (-2 - 48/(-18)) + (-111)/(-9)?
3
Let p(k) = 2*k**2 - 6. Let x be p(3). What is the units digit of ((-126)/12)/((-2)/x)?
3
Let y = -26 + 20. Let x(o) = o**2 + 6*o - 5. Let t be x(y). What is the tens digit of (-5 - 0)/t + 15?
1
Suppose 2*j + 30 = 2*f, -4*f + j + 40 = 2*j. What is the tens digit of f/((-22)/(-120)) - -1?
6
Suppose -n + 4 = 2*v - 26, 0 = 5*n - 2*v - 90. Let g = n - 12. Suppose -i + g = -5*i, -5*d - 5*i + 55 = 0. What is the units digit of d?
3
Suppose 0 = c - 3*u - 5, -9 = 2*u - 5*u. Let f(y) = -5 + c - y + 0. What is the units digit of f(7)?
2
Suppose 12288 = -37*a + 189888. What is the thousands digit of a?
4
Let p(m) = -m**3 + 8*m**2 - 11*m + 20. Let i be p(5). Let c = 16 + i. What is the tens digit of c?
5
Suppose -3816 = -d + 33*k - 34*k, -d = -3*k - 3800. What is the hundreds digit of d?
8
Let o be -12*3/((-24)/244). What is the hundreds digit of o/2 + -1 + 2 + -5?
1
Let w(q) = -256*q - 25. What is the hundreds digit of w(-3)?
7
Suppose -12 = 5*o - 3*w, 3*w - 10 = -2*o + 2. Let h be 11*((-4)/(-2) - o). Let i = -1 + h. What is the tens digit of i?
2
Let z(r) = -r + 4. Let u be z(7). What is the units digit of (u/2)/(374/(-124) + 3)?
3
Let j(a) = 2*a**2 - 4*a - 1. Let d(z) = -3*z**3 + z**2 - z - 1. Let g be d(-1). Let x be j(g). What is the units digit of 6/x + (-163)/(-5)?
3
Let d(o) = 57*o - 42. What is the tens digit of d(6)?
0
Let k be 112/(4/2) + 20 + -18. Suppose 5*h - 3*i - 290 = 0, -9*i - k = -h - 4*i. What is the tens digit of h?
5
Let f be -6 - -4 - -2*23. Let o be (-48)/(-22) - 8/f. Suppose -2*d = -2*w + d + 4, o*d = -2*w + 24. What is the units digit of w?
8
Let b(s) = -s**2 - 9*s - 44. Let n be b(-9). Let h = -13 - n. What is the tens digit of h?
3
Let s(y) = -27*y - 8. Let i(v) = -730*v - 215. Let j(c) = -2*i(c) + 55*s(c). What is the units digit of j(-5)?
5
Suppose 0 = -2*n, 2*n - 12 = -3*v - n. Suppose o - v*o - r = -62, -81 = -4*o - 3*r. What is the tens digit of o?
2
Suppose 1820 = 2*a - 2*i, 4*a - 3*a - 894 = -3*i. What is the units digit of a?
6
Suppose 166*u - 164*u = 588. Suppose -u + 1102 = 4*o. What is the units digit of o?
2
Let l be (-147)/(-12) + (-15)/(-20). What is the tens digit of 522/l - 4/26?
4
Let v(l) = -l**3 + l**2 + l + 3. Let f be v(0). Suppose -2*j + 120 = f*u - 70, 2*j - 194 = -2*u. What is the tens digit of j?
0
Let l(c) = -26*c + 10. Suppose 5*y = -0 + 5, -j = 2*y + 2. What is the hundreds digit of l(j)?
1
Let d(k) = 53*k - 159. What is the hundreds digit of d(13)?
5
Let t = 2 + 1. Suppose -2*z - 10 = -3*k + 18, -2*z - 8 = -k. Suppose d + 4*a = k, -t*d + 5*a + 33 = -d. What is the units digit of d?
4
Let t be (-1)/3 - (-102)/9. Let a = 12 - t. Let j(b) = 36*b**3 - b**2 - 2*b + 2. What is the units digit of j(a)?
5
Let q = -897 - -2809. What is the hundreds digit of q?
9
Suppose 0*u - 4775 = -5*u. What is the units digit of u?
5
What is the hundreds digit of (25624/(-4))/(-2) + -6?
1
Let k = 495 - 135. What is the tens digit of k?
6
Suppose 95*h = 96*h - 610. What is the units digit of h?
0
What is the tens digit of ((-10)/40)/(((-5)/(-604))/(-5))?
5
Suppose -41*c = -16305 - 79061. What is the thousands digit of c?
2
Let j(v) = -3*v - 15. Let u(p) = 7*p + 8. Let l be u(-3). What is the tens digit of j(l)?
2
Let u(t) = -4*t + 10. Let j be u(-7). Suppose -k - 127 - j = -2*g, -4*k = 5*g - 419. What is the tens digit of g?
8
Let j be (-12)/(-54) - 25/(-9). Suppose -31 = -d + j. What is the units digit of d?
4
Suppose -u + 82 = 2*u - q, -u = -2*q - 29. Suppose 2*o = 3*o - u. Suppose -2*h = -5*h + o. What is the units digit of h?
9
Let j(x) = -x**2 + 31*x - 61. What is the tens digit of j(20)?
5
Suppose 3*y - 7 + 16 = 0. What is the units digit of 1/(-1) + 8 + y?
4
Suppose 0 = 5*t + 3*a - 4*a - 27, -a + 33 = 5*t. Suppose 0 = -4*x + t + 10. Suppose 181 = 5*d - x*v, v = -d + 7 + 22. What is the tens digit of d?
3
Let o = 62 + 209. What is the units digit of o?
1
Let l be (-2 + -4)*12/(-24). What is the tens digit of l*(-5)/30*-58?
2
Let m be (25/(-10))/((-1)/(-16)). Let q = m - -213. What is the tens digit of q?
7
Let c(s) = -s**3 - 2*s**2 - 7*s + 3. Let r be c(-4). Suppose -9 = -b + r. What is the tens digit of b?
7
Suppose -k = -5*a - 26, -3*k + 2*k - a = 4. Let b = 29 - k. Suppose c = -4*o + 91 - b, -c = 5*o - 68. What is the units digit of c?
3
Suppose -5*n - 41 = 3*l, 5*l - 15 = 4*n + 3. Let z = 11 + n. Suppose -3*m + v = -29, 2*m = -2*v + z*v + 26. What is the units digit of m?
8
Let o(v) = 360*v**2 - 9*v - 6. What is the units digit of o(2)?
6
Suppose -2*t - c = -767, 3*c + 112 + 651 = 2*t. What is the tens digit of t?
8
Suppose 3*s + v - 149 = 0, 0 = 2*v + 6 - 4. Suppose -48*t + s*t = 182. What is the units digit of t?
1
Suppose 5181 = 31*l - 17573. What is the hundreds digit of l?
7
Let g(d) = d**2 - 20*d - 58. Let k be g(24). Let y = -33 + 23. Let a = y + k. What is the tens digit of a?
2
Suppose 0 = -5*u + 4*u. Suppose 2*a - 4*a + 50 = u. What is the units digit of a?
5
Let i(p) = p**3 + 4*p**2 + 5*p + 6. Suppose b = -7
|
{
"pile_set_name": "DM Mathematics"
}
|
ands digit of 44557574?
7
What is the ten thousands digit of 102099387?
9
What is the units digit of 52709879?
9
What is the hundreds digit of 17562564?
5
What is the millions digit of 2893153952?
3
What is the tens digit of 182900780?
8
What is the units digit of 173178591?
1
What is the millions digit of 53497864?
3
What is the hundreds digit of 947086793?
7
What is the billions digit of 3797890874?
3
What is the hundred millions digit of 2364427993?
3
What is the hundred thousands digit of 7358976?
3
What is the thousands digit of 3271558878?
8
What is the ten thousands digit of 120922279?
2
What is the hundred thousands digit of 1650312930?
3
What is the hundreds digit of 251648765?
7
What is the tens digit of 3621579814?
1
What is the ten thousands digit of 132867436?
6
What is the tens digit of 22468169?
6
What is the hundreds digit of 1342162679?
6
What is the hundred thousands digit of 211113811?
1
What is the ten thousands digit of 11046199?
4
What is the ten thousands digit of 4020531967?
3
What is the thousands digit of 3226898835?
8
What is the hundred thousands digit of 73429939?
4
What is the ten thousands digit of 18143562?
4
What is the units digit of 50452879?
9
What is the millions digit of 770738582?
0
What is the hundred thousands digit of 3768722?
7
What is the hundred millions digit of 485510938?
4
What is the thousands digit of 86721508?
1
What is the millions digit of 34495569?
4
What is the ten thousands digit of 608357918?
5
What is the units digit of 49430370?
0
What is the hundreds digit of 2683714102?
1
What is the hundreds digit of 300788437?
4
What is the ten thousands digit of 3859389741?
8
What is the thousands digit of 295961678?
1
What is the units digit of 34206672?
2
What is the ten millions digit of 30535973?
3
What is the millions digit of 51732349?
1
What is the hundreds digit of 44300717?
7
What is the millions digit of 1924984931?
4
What is the ten thousands digit of 1661149?
6
What is the ten thousands digit of 124477928?
7
What is the units digit of 2994380503?
3
What is the ten thousands digit of 4191187369?
8
What is the ten thousands digit of 424148354?
4
What is the hundreds digit of 2488168849?
8
What is the hundred thousands digit of 5043610407?
6
What is the tens digit of 774557538?
3
What is the tens digit of 772189337?
3
What is the hundred millions digit of 2280544065?
2
What is the ten thousands digit of 43002586?
0
What is the units digit of 468918110?
0
What is the hundred thousands digit of 175285083?
2
What is the tens digit of 174373164?
6
What is the thousands digit of 6742483284?
3
What is the units digit of 69624636?
6
What is the millions digit of 77176871?
7
What is the thousands digit of 657272189?
2
What is the hundreds digit of 1055226077?
0
What is the millions digit of 877188063?
7
What is the thousands digit of 4476131889?
1
What is the billions digit of 3120947149?
3
What is the thousands digit of 31078077?
8
What is the ten thousands digit of 361230655?
3
What is the hundred millions digit of 5933552561?
9
What is the units digit of 41655823?
3
What is the millions digit of 29125091?
9
What is the thousands digit of 756613470?
3
What is the thousands digit of 168816070?
6
What is the ten thousands digit of 407561161?
6
What is the hundreds digit of 297166940?
9
What is the billions digit of 6068360037?
6
What is the thousands digit of 300785903?
5
What is the hundreds digit of 35431319?
3
What is the units digit of 780322591?
1
What is the tens digit of 598875284?
8
What is the millions digit of 1338730391?
8
What is the hundred millions digit of 379915548?
3
What is the millions digit of 553615756?
3
What is the hundreds digit of 23796387?
3
What is the ten millions digit of 10492205?
1
What is the hundred thousands digit of 50576972?
5
What is the millions digit of 2421802842?
1
What is the millions digit of 63084359?
3
What is the ten thousands digit of 26438345?
3
What is the thousands digit of 1400086504?
6
What is the hundred millions digit of 703729111?
7
What is the hundred millions digit of 135176860?
1
What is the billions digit of 1409200435?
1
What is the ten thousands digit of 54439867?
3
What is the hundred millions digit of 427589502?
4
What is the ten thousands digit of 2024655805?
5
What is the hundreds digit of 818031191?
1
What is the hundred millions digit of 457980483?
4
What is the hundreds digit of 862270276?
2
What is the tens digit of 25533407?
0
What is the tens digit of 5180414?
1
What is the hundred millions digit of 784983238?
7
What is the billions digit of 4467890649?
4
What is the millions digit of 92100208?
2
What is the tens digit of 378931764?
6
What is the hundreds digit of 368383739?
7
What is the units digit of 301169502?
2
What is the billions digit of 8629568417?
8
What is the hundred thousands digit of 138347543?
3
What is the hundred thousands digit of 2865402059?
4
What is the ten thousands digit of 27327634?
2
What is the units digit of 4627914?
4
What is the units digit of 1395598171?
1
What is the hundred thousands digit of 97595101?
5
What is the hundred thousands digit of 140725838?
7
What is the hundred millions digit of 176920977?
1
What is the tens digit of 930010446?
4
What is the hundreds digit of 467091313?
3
What is the units digit of 198270449?
9
What is the ten millions digit of 2016361471?
1
What is the tens digit of 24062822?
2
What is the hundred thousands digit of 436736605?
7
What is the units digit of 76961319?
9
What is the hundred millions digit of 394776450?
3
What is the thousands digit of 2465805678?
5
What is the thousands digit of 114162428?
2
What is the hundred millions digit of 1139631449?
1
What is the hundred thousands digit of 28070438?
0
What is the millions digit of 75806045?
5
What is the units digit of 14755318?
8
What is the units digit of 53466097?
7
What is the hundreds digit of 236369514?
5
What is the thousands digit of 153138937?
8
What is the units digit of 167542046?
6
What is the tens digit of 73702762?
6
What is the hundred thousands digit of 33911458?
9
What is the hundred thousands digit of 34860022?
8
What is the tens digit of 4311104881?
8
What is the hundred thousands digit of 229253923?
2
What is the millions digit of 692277671?
2
What is the hundred thousands digit of 107033190?
0
What is the ten thousands digit of 3693924559?
2
What is the ten thousands digit of 127520955?
2
What is the ten millions digit of 1029273889?
2
What is the hundred millions digit of 3000922288?
0
What is the thousands digit of 29869401?
9
What is the units digit of 2253337127?
7
What is the thousands digit of 126439291?
9
What is the units digit of 2924981259?
9
What is the hundreds digit of 501943799?
7
What is the hundred thousands digit of 9035780?
0
What is the hundred thousands digit of 1404386856?
3
What is the hundreds digit of 1036072018?
0
What is the tens digit of 10951980?
8
What is the hundreds digit of 1822990366?
3
What is the millions digit of 126060096?
6
What is the hundred thousands digit of 17532498?
5
What is the ten thousands digit of 1617090409?
9
What is the hundred millions digit of 1535593338?
5
What is the tens digit of 29169399?
9
What is the tens digit of 113672308?
0
What is the tens digit of 1297240079?
7
What is the units digit of 3823971092?
2
What is the ten thousands digit of 4383185489?
8
What is the tens digit of 95908671?
7
What is the hundred thousands digit of 278094018?
0
What is the ten millions digit of 781745074?
8
What is the millions digit of 417041693?
7
What is the thousands digit of 63919476?
9
What is the thousands digit of 289748072?
8
What is the units digit of 1089893617?
7
What is the millions digit of 104406886?
4
What is the thousands digit of 229083957?
3
What is the units digit of 3641714200?
0
What is the hundred thousands digit of 945491379?
4
What is the hundred thousands digit of 115759073?
7
What is the millions digit of 2385008192?
5
What is the hundreds digit of 96104754?
7
What is the hundreds digit of 3470436207?
2
What is the ten millions digit of 104802489?
0
What is the hundred thousands digit of 84370137?
3
What is the thousands digit of 135497334?
7
What is the tens digit of 2194852549?
4
What is the tens digit of 4956383849
|
{
"pile_set_name": "DM Mathematics"
}
|
27/91
Calculate prob of picking 2 m, 1 s, and 1 n when four letters picked without replacement from {s: 3, n: 2, m: 10, t: 4}.
45/646
Calculate prob of picking 2 k and 2 o when four letters picked without replacement from {k: 3, o: 11}.
15/91
What is prob of picking 1 a and 3 q when four letters picked without replacement from {q: 7, a: 1}?
1/2
Four letters picked without replacement from {l: 2, e: 1, q: 2, b: 1}. What is prob of picking 2 l and 2 q?
1/15
Three letters picked without replacement from {p: 1, s: 3}. Give prob of picking 3 s.
1/4
What is prob of picking 3 n when three letters picked without replacement from {n: 15, l: 5}?
91/228
What is prob of picking 3 y when three letters picked without replacement from {y: 3}?
1
Two letters picked without replacement from {x: 5, q: 3}. What is prob of picking 1 x and 1 q?
15/28
Calculate prob of picking 1 m and 3 f when four letters picked without replacement from mmfmmfmffmmmmmfmmf.
4/51
Three letters picked without replacement from nwkewn. What is prob of picking 1 n, 1 w, and 1 k?
1/5
Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {c: 4, q: 1, s: 6, f: 4}.
2/35
Calculate prob of picking 1 j and 1 b when two letters picked without replacement from bdoddorjrddjrdj.
1/35
Calculate prob of picking 2 e and 1 b when three letters picked without replacement from {b: 9, e: 11}.
33/76
Two letters picked without replacement from wfowqqfwiwoqwfoooqtt. What is prob of picking 1 f and 1 i?
3/190
Calculate prob of picking 1 m and 1 n when two letters picked without replacement from mhhnmkmkkkmmhd.
5/91
Calculate prob of picking 3 k and 1 y when four letters picked without replacement from {l: 1, y: 6, q: 7, k: 4}.
2/255
Three letters picked without replacement from kkhkgkghikhgkkkkhrhk. What is prob of picking 2 k and 1 i?
3/76
Two letters picked without replacement from {t: 5, s: 3, u: 2, x: 1, i: 1}. Give prob of picking 1 u and 1 t.
5/33
Two letters picked without replacement from hprr. Give prob of picking 1 r and 1 p.
1/3
Calculate prob of picking 2 k when two letters picked without replacement from ckkkckkccppkp.
5/26
Two letters picked without replacement from {f: 1, y: 4, z: 2}. What is prob of picking 1 z and 1 f?
2/21
Four letters picked without replacement from {b: 2, t: 10}. What is prob of picking 2 t and 2 b?
1/11
Two letters picked without replacement from {w: 3, j: 1, d: 1, f: 3, k: 11}. What is prob of picking 1 d and 1 w?
1/57
What is prob of picking 1 x and 1 k when two letters picked without replacement from {n: 2, x: 7, k: 1}?
7/45
Two letters picked without replacement from xhxxrhxghxrghlxxihh. Give prob of picking 1 r and 1 l.
2/171
What is prob of picking 1 p, 1 t, and 1 q when three letters picked without replacement from qpiiitt?
2/35
Four letters picked without replacement from {l: 4, d: 4, p: 6, u: 1}. What is prob of picking 3 l and 1 u?
4/1365
Two letters picked without replacement from iaaauaiaananaunn. Give prob of picking 1 n and 1 a.
4/15
Three letters picked without replacement from wupmmmwmmwmm. Give prob of picking 3 m.
7/44
Two letters picked without replacement from {l: 1, y: 3, p: 3, q: 6, a: 2}. What is prob of picking 1 q and 1 l?
2/35
What is prob of picking 1 d and 1 r when two letters picked without replacement from {r: 2, d: 1}?
2/3
Two letters picked without replacement from tsftbbb. What is prob of picking 1 s and 1 b?
1/7
Three letters picked without replacement from {v: 3, r: 11, c: 1}. Give prob of picking 3 r.
33/91
Three letters picked without replacement from yrrrxyxryxyxyyx. What is prob of picking 2 x and 1 r?
8/91
Four letters picked without replacement from xxxxxxxxxddxxxxxxxxd. What is prob of picking 2 x and 2 d?
8/95
Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {d: 4, f: 1, h: 2, i: 6}.
4/39
What is prob of picking 2 w when two letters picked without replacement from {w: 4, e: 2}?
2/5
Four letters picked without replacement from tteeeeeeeee. What is prob of picking 4 e?
21/55
Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {w: 2, a: 2, f: 3, s: 2, n: 1, l: 2}.
2/33
Four letters picked without replacement from dvdddvddmd. Give prob of picking 3 v and 1 m.
0
Four letters picked without replacement from ssqssqssqsq. Give prob of picking 1 q and 3 s.
14/33
Four letters picked without replacement from gddlggldddlllllgl. What is prob of picking 1 l and 3 g?
8/595
What is prob of picking 1 p, 1 s, and 1 l when three letters picked without replacement from {y: 8, l: 1, p: 2, s: 2}?
2/143
What is prob of picking 1 m, 1 w, and 1 x when three letters picked without replacement from mwkkwmmxkkkkkkmk?
1/70
What is prob of picking 3 p and 1 r when four letters picked without replacement from {b: 2, r: 3, d: 2, p: 6, g: 3}?
3/91
Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {o: 7, h: 3}.
7/15
Calculate prob of picking 2 l, 1 m, and 1 s when four letters picked without replacement from {l: 4, m: 1, k: 1, s: 2, v: 1}.
2/21
Four letters picked without replacement from rrzsdsszfz. Give prob of picking 1 f, 2 z, and 1 s.
3/70
Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, c: 1}.
1/2
Calculate prob of picking 1 o, 1 l, and 1 p when three letters picked without replacement from ooploopplil.
12/55
What is prob of picking 1 g and 1 f when two letters picked without replacement from fvgff?
3/10
What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 9, n: 9}?
9/17
Calculate prob of picking 3 v when three letters picked without replacement from {p: 2, v: 8, q: 4}.
2/13
Two letters picked without replacement from {q: 2, x: 1, c: 1, z: 1, b: 1, g: 2}. What is prob of picking 1 c and 1 z?
1/28
Four letters picked without replacement from {x: 2, h: 2, c: 2, o: 1, e: 1, s: 1}. What is prob of picking 1 h, 2 s, and 1 e?
0
Three letters picked without replacement from mqklgqqttklt. What is prob of picking 1 m, 1 t, and 1 l?
3/110
What is prob of picking 1 n, 1 o, and 1 j when three letters picked without replacement from puujnnuunujmupunouo?
16/969
Four letters picked without replacement from msifrrifivff. Give prob of picking 1 s and 3 r.
0
Three letters picked without replacement from {e: 5, s: 3, j: 4, w: 7}. Give prob of picking 2 s and 1 e.
5/323
Two letters picked without replacement from ttzttttztttettezzete. What is prob of picking 2 e?
3/95
Two letters picked without replacement from {o: 3, s: 3, g: 6, n: 5, c: 1}. Give prob of picking 2 g.
5/51
Calculate prob of picking 2 v and 1 k when three letters picked without replacement from {m: 6, c: 2, k: 1, v: 2, r: 1, e: 6}.
1/816
What is prob of picking 1 s and 2 h when three letters picked without replacement from {h: 5, s: 2}?
4/7
What is prob of picking 1 y and 1 k when two letters picked without replacement from {y: 6, k: 7}?
7/13
Four letters picked without replacement from {p: 7, y: 3, i: 2, m: 3, f: 4}. Give prob of picking 1 y, 1 m, and 2 f.
9/646
What is prob of picking 1 r, 1 d, and 1 t when three letters picked without replacement from dndnndtrtnd?
8/165
What is prob of picking 1 b and 1 f when two letters picked without replacement from ubenpfpe?
1/28
Four letters picked without replacement from diidggdgijg. Give prob of picking 1 d, 1 i, 1 g, and 1 j.
6/55
Two letters picked without replacement from {i: 1, m: 1, q: 3}. Give prob of picking 1 i and 1 m.
1/10
Four letters picked without replacement from {x: 1, y: 2, e: 1}. What is prob of picking 3 x and 1 e?
0
Two letters picked without replacement from {l: 2, b: 1, c: 2, e: 1, q: 5, s: 6}. What is prob of picking 1 b and 1 c?
1/68
What is prob of picking 1 y, 1 m, and 1 b when three letters picked without replacement from cobjycmbcymbm?
9/143
Calculate prob of picking 2 y and 1 v when three letters picked without replacement from yipkypvvkppypkp.
6/455
Calculate prob of picking 2 m and 2 i when four letters picked without replacement from himmhiimmmhmm.
63/715
Calculate prob of picking 4 y when four letters picked without replacement from ydyyydyyyyddyd.
18/143
Four letters picked without replacement from qeqqeep. Give prob
|
{
"pile_set_name": "DM Mathematics"
}
|
)*u)/((u*u*u**2/u*u*u*u)/u))/((u*u**(-3/5)*u*u)/u**(-1)) assuming u is positive.
u**(18/5)
Simplify ((g**1*g**(-1/4))/(g*g/(g*g*g/(g*((g/(g/(g/(g*g/(g/g**(-1))))))/g)/g)))**(-6))**(-11/4) assuming g is positive.
g**(231/16)
Simplify (s*s**21/s*s*(s**(-6)*s)/s)/(s*s*s**19*s**16) assuming s is positive.
s**(-21)
Simplify (v*v**7)**(-15/7)*v/(v**(2/27)*v*v)*(v*(((v/((v/v**12)/v))/v)/v)/v)/v assuming v is positive.
v**(-1553/189)
Simplify (j**1)**(1/18)*(j*j*(j*j**(1/3))/j*j)/j**(-17) assuming j is positive.
j**(367/18)
Simplify (((s/(s**(2/9)*s)*s)/(s/(s*s**(-2/17)*s)))/(s**(-7)*s*s**(1/2)))**27 assuming s is positive.
s**(6573/34)
Simplify t*t**(-13/6)*t**17*(((t/(t/(t**(-25)/t)))/t)/t)/(t/((t**(2/57)*t)/t)) assuming t is positive.
t**(-499/38)
Simplify ((a**(6/11)/(a*((a/(a**(-1/11)*a))/a)/a))/((a/(a**(-5)*a))/(a*(a**6*a)/a*a)))**4 assuming a is positive.
a**(196/11)
Simplify ((f/f**12*((f*f**(1/3))/f*f)/f)**(24/11))**(11/3) assuming f is positive.
f**(-256/3)
Simplify (l**(-8)/l)/(l*l**7)*l*l**(-10)*l**(2/13) assuming l is positive.
l**(-336/13)
Simplify ((j*j/(j**(2/7)/j*j)*j)**(-20)/(j**(2/7))**24)**(-11) assuming j is positive.
j**(4708/7)
Simplify (f**(-7/3)/(f/((f**(-15)/f)/f)))/((f*((((f*f/(f**(1/7)*f))/f)/f)/f)/f)/f)**(-13/5) assuming f is positive.
f**(-2993/105)
Simplify (b*b**(2/5))/((b*b*b**(-16)/b)/b)*b**11*b**3 assuming b is positive.
b**(157/5)
Simplify (m**(6/5)*((m/(m*m**(3/10)))/m)/m)/(m**(2/35)*m/(((m*(m*m**(6/7)*m)/m)/m)/m)) assuming m is positive.
m**(-13/10)
Simplify (x**(5/4))**(-20)/(x**(-1/14))**31 assuming x is positive.
x**(-319/14)
Simplify ((v/(v*(v*v**2)/v)*v)**(12/5))**(-3/5) assuming v is positive.
v**(36/25)
Simplify (s**(4/5))**11/(s/(s*s**(8/5)*s*s*s)*s**10) assuming s is positive.
s**(17/5)
Simplify (h**(-16)/h)**(1/13)/(h/h**(-11))**(-1/5) assuming h is positive.
h**(71/65)
Simplify ((z**(-1/7))**28)**(-41) assuming z is positive.
z**164
Simplify (((z/(z/z**(-18)))/(z*z/z**8))**4)**(-11) assuming z is positive.
z**528
Simplify (v**27*v/v**(-12/13))/((v*v**(-3/23))/(v*((v/((v*v**(-5/7))/v))/v)/v)) assuming v is positive.
v**(60211/2093)
Simplify (g**(-2/63)*g*g**(2/9))/(g*g**14)**(-5) assuming g is positive.
g**(1600/21)
Simplify i*i**(-30)*i**(4/13)*((i**11*i)/i)**(-28) assuming i is positive.
i**(-4377/13)
Simplify ((c/c**(-3/2))/c**(1/3))/(c**(3/7)*((c*c**(-1/19))/c*c)/c*c) assuming c is positive.
c**(631/798)
Simplify ((u**(1/2))**(-1/4)*u**(-8/5)*u**8)**(-27) assuming u is positive.
u**(-6777/40)
Simplify ((q/(q/(q**(2/37)/q)*q))/q)/(q/q**(-13))*q**(-2/33)*q**3 assuming q is positive.
q**(-17102/1221)
Simplify (l**(1/12)*l*l**(5/6))/(l/(l/((l/l**(-5))/l*l))*l*l*l/l**(-24)) assuming l is positive.
l**(-373/12)
Simplify (((k**(2/5))**(-36))**50)**(-2/3) assuming k is positive.
k**480
Simplify ((m**(-1/5)/m)/m)**(3/32)*m/(m/m**0)*m/(m**(6/5)*m) assuming m is positive.
m**(-45/32)
Simplify (j/(j*j*j**(3/5)))/((j/(j*j**(-4/3)*j))/j*j)*j**(-3/7)*j*j/j**(-1/2)*j assuming j is positive.
j**(239/210)
Simplify ((n/(n*(n/(n**2/n))/n))**(-2/19)/(((n/(n/(n**(-1/3)/n*n*n)))/n*n)/(n/(n/(n**(-5)/n)))))**35 assuming n is positive.
n**(-13510/57)
Simplify ((z/(z*z*(z*z/(z/z**(-1/6)))/z*z))/z**(-7))/(z**(-2/31))**(1/18) assuming z is positive.
z**(2885/558)
Simplify (((g*(g*(g/(g**0/g))/g)/g)**(1/10))**0)**(-20) assuming g is positive.
1
Simplify (s**(-5/6)/s)**(-1/13)*(s*s**9*s)**(-2/27) assuming s is positive.
s**(-473/702)
Simplify (((q/(q**(-2/5)/q))/(q/q**(-8)))/((q**(-1/6)*q*q)/((q/q**(-2/5))/q)))**35 assuming q is positive.
q**(-1687/6)
Simplify ((b**(2/3)*b)/(b**(-10)*b)*b**(-13)*(b*b**2)/b)**(6/5) assuming b is positive.
b**(-2/5)
Simplify (c**(-4/13)/c**(-36))**(-44) assuming c is positive.
c**(-20416/13)
Simplify (z**15)**(1/14)/(z/(z*z**26*z)*z**25*z) assuming z is positive.
z**(29/14)
Simplify ((((t*t**(2/7)/t)/t)/t)/t*t*t/(t*t**(-2/21))*t**(6/5)/t*t*t**(-10)/t)**47 assuming t is positive.
t**(-56353/105)
Simplify ((m/m**(-1/2))/m)**(-10/11)*m**(-3/7)/(m/(((m/(m**(-8)*m))/m)/m)) assuming m is positive.
m**(317/77)
Simplify (k**(-1/18))**(-48)/(k**(1/14)/k)**(-1/5) assuming k is positive.
k**(521/210)
Simplify c/(c/c**(11/4))*c**(2/37)*(c**(-3/4)*c)**(16/9) assuming c is positive.
c**(4327/1332)
Simplify (z**24/z*z*z/z**(2/5))/(z**(-6)*z*(z/z**(-2/13)*z)/z) assuming z is positive.
z**(1849/65)
Simplify q**(-3/2)*q/(q**(-9/2)*q)*(q**(-11)/q)/q**(4/15) assuming q is positive.
q**(-139/15)
Simplify (c*c**2)/c*c*c*c**(13/3)/c*c*(c/(c/(c*c*c*(c*c*c*(c*c/(c/(c*(c**(-7/5)*c)/c))*c)/c*c*c)/c)))**22 assuming c is positive.
c**(2633/15)
Simplify t**8/t**(-9)*(t*t**(1/4)/t*t)/t**21 assuming t is positive.
t**(-11/4)
Simplify ((u*u/(u**12/u))/(u*u**(-2/25)))/(u/(u*u**(-1/4)/u))**(-21/2) assuming u is positive.
u**(641/200)
Simplify (k**(-2/3)*k*k*k/k**(-24)*k)/(((k**(-16)/k)/k)/k)**11 assuming k is positive.
k**(709/3)
Simplify ((b*b**7/b*b)/b*(b/(b/(b**(-5)/b)))/b*b**(1/2)*(b*b**(2/7)*b)/b*b)**(-11) assuming b is positive.
b**(-429/14)
Simplify (((c/(c/c**1))/c**(2/13))/(c*c**(2/7)*c*c)**(23/4))**20 assuming c is positive.
c**(-32845/91)
Simplify (o**9*o)**(7/4)*(o/o**(-4/3)*o)**19 assuming o is positive.
o**(485/6)
Simplify n**(-5)*n**(-6)*(n/(n*n*n*n**(-10)*n*n)*n)/(n*n**7/n) assuming n is positive.
n**(-11)
Simplify ((r**(2/7))**(6/7)/(r*r*r*r**(-3)*r*r)**(-3/10))**33 assuming r is positive.
r**(6831/245)
Simplify ((n**27)**(-39))**(-3/35) assuming n is positive.
n**(3159/35)
Simplify ((y**(-2/11)*y*y**(-12))/(y**4/(y**5*y)))**(2/65) assuming y is positive.
y**(-202/715)
Simplify (o/(o/(o*o**8)))**(-35)*(o**(-5/2))**(1/21) assuming o is positive.
o**(-13235/42)
Simplify ((n/(n/(n/((n*n*n**(10/7)*n)/n)*n)))**(-1/2))**(-4/25) assuming n is positive.
n**(-4/35)
Simplify (r/((r/(r*(r/r**(-17))/r*r))/r*r))**28/(r*r**(-16/5)*r**(2/43)*r) assuming r is positive.
r**(114628/215)
Simplify (d/(d/d**(2/9)))/d**(6/7)*(d**(-3)/d)**(-12) assuming d is positive.
d**(2984/63)
Simplify (a/a**(-10/9)*a)**(3/2)/(((a/(a**(-21)/a*a*a))/a)/a)**(-11/8) assuming a is positive.
a**(739/24)
Simplify d*d*d**(-15)*d*d*d**(1/12)*d*(d*d**17*d*d*d)/(d*d**(8/7)) assuming d is positive.
d**(751/84)
Simplify (h**(-2)*h/(h*h*h/h**(2/7))*h)/(h**(-2))**(-26) assuming h is positive.
h**(-383/7)
Simplify ((j**(-1/3)/j)**(-29)*j**(5/6)*j/(j/((j/(j/(j*(j/j**(-1/8))/j)))/j)*j))**6 assuming j is positive.
j**(927/4)
Simplify (c/c**(-1/4)*c)/c**(-10)*c**(1/5)/(c*c/(((c*c/c**(-13/4))/c)/c)) assuming c is positive.
c**(137/10)
Simplify ((o**3)**(-2/9)/((o*o**(3/13)*o)/o**7))**2 assuming o is positive.
o**(320/39)
Simplify (x*x**(3/2)/x*x*x**(1/2)/x)/(x/(x*x**(-10)/x)*x/(x**12*x)) assuming x is positive.
x**3
Simplify (r**(20/9)*r*r**6)/(r/r**(-3))**(-1/7) assuming r is positive.
r**(617/63)
Simplify (f**(3/4))**(2/69)*(f**(-11/3)*f)/(f*f**(2/7)*f) assuming f is positive.
f**(-4763/966)
Simplify v**3/((v/((v/(v*v/(v/((v*(v**(3/2)/v)/v)/v))*v))/v))/v)*(v/(v/(v*v**(3/22))))/(((v*v**(1/32))/v*v)/v) assuming v is positive.
v**(917/352)
Simplify (v**(-21)/v*v**(1/5)*v*v)/(((v*(v**20*v)/v*v*v)/v)/(v*v**32)) assuming v is positive.
v**(-44/5)
Simplify (u/u**1)**(-40)*(u**(3/2))**(6/25) assuming u is positive.
u**(9/25)
Simplify (((h/(h**(-3/2)/h))/(h*h/(h*h/(h/h**(-6))*h*h)*h))/(h**(-1)/(h*h**(-2/3)*h)))**(-12) assuming h is positive.
h**2
Simplify (((v/(v**(-2)/v))**(-6))**3)**22 assuming v is positive.
v**(-1584)
Simplify (i**(-1/9)/i**(-16/5))/(i**(-10)*i**(-16)/i) assuming i is positive.
i**(1354/45)
Simplify ((w*w**10)/(w/w**0*w)*w**(-2/37)/(w*w**1))**(-12) assuming w is positive.
w**(-3084/37)
Simplify (t**(13/3))**(-49)/((t**(22/5)*t)/t*t/(t/((((t/(t/t**(11/6)))/t)/t)/t)*t)*t) assuming t is positive.
t**(-6467/30)
Simplify (p**18/(p*p**(-2/13)))/(((p/(p**0*p)*p*p)/p)/(p*p/p**(-4))) assuming p is positive.
p**(288/13)
Simplify (p*p**(1/4)*p*p)**(-35/3)/(p/(p/p**(2/17))*p**12) assuming p is positive.
p**(-10207/204)
Simplify ((o**(-28)*o**(-9/2))**50)**(-18) assuming o is positive.
o**29250
Simplify (q/q**3)**(-8)*(q*(q/(q/(q*q**(-6))))/q)/q**(2/11) assuming q is positive.
q**(119/11)
Simplify (((s/(((s*s*s/(s**(-9)/s)*s*s)/s*s*s)/s)*s)/((s/s**(-1/2))/s))**(-50))**(-5/16) assuming s is positive.
s**(-3375/16)
Simplify (k**10*k*k**(-1))/(k*k**1*k**(-10/3)/k) assu
|
{
"pile_set_name": "DM Mathematics"
}
|
sands digit of 43260?
4
What is the millions digit of 11322923?
1
What is the thousands digit of 441430?
1
What is the thousands digit of 952001?
2
What is the hundreds digit of 325100?
1
What is the thousands digit of 585190?
5
What is the tens digit of 27290870?
7
What is the units digit of 21915171?
1
What is the millions digit of 2037243?
2
What is the thousands digit of 257856?
7
What is the thousands digit of 310514?
0
What is the ten thousands digit of 11178458?
7
What is the units digit of 242296?
6
What is the tens digit of 235580?
8
What is the tens digit of 244501?
0
What is the hundred thousands digit of 2651895?
6
What is the hundreds digit of 11947114?
1
What is the ten thousands digit of 332660?
3
What is the thousands digit of 1734719?
4
What is the thousands digit of 179069?
9
What is the tens digit of 974248?
4
What is the units digit of 5225088?
8
What is the hundreds digit of 388444?
4
What is the hundreds digit of 2696794?
7
What is the ten thousands digit of 447532?
4
What is the millions digit of 2052335?
2
What is the hundreds digit of 1326067?
0
What is the units digit of 2701139?
9
What is the hundreds digit of 267010?
0
What is the hundreds digit of 2969691?
6
What is the tens digit of 3394108?
0
What is the tens digit of 120668?
6
What is the hundred thousands digit of 3099653?
0
What is the hundreds digit of 895531?
5
What is the units digit of 1777013?
3
What is the units digit of 152775?
5
What is the thousands digit of 7424044?
4
What is the tens digit of 275832?
3
What is the tens digit of 1190534?
3
What is the units digit of 273964?
4
What is the units digit of 780114?
4
What is the units digit of 137803?
3
What is the ten thousands digit of 17646595?
4
What is the ten thousands digit of 15037133?
3
What is the tens digit of 8535275?
7
What is the thousands digit of 266297?
6
What is the ten thousands digit of 947960?
4
What is the tens digit of 326872?
7
What is the hundred thousands digit of 280045?
2
What is the thousands digit of 9520997?
0
What is the units digit of 458707?
7
What is the hundreds digit of 478582?
5
What is the tens digit of 600938?
3
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1
What is the tens digit of 74129?
2
What is the hundreds digit of 146731?
7
What is the ten thousands digit of 82316?
8
What is the units digit of 1449412?
2
What is the tens digit of 1585536?
3
What is the hundred thousands digit of 253864?
2
What is the tens digit of 15719471?
7
What is the units digit of 15627?
7
What is the ten thousands digit of 1915811?
1
What is the hundreds digit of 3878217?
2
What is the ten thousands digit of 5876949?
7
What is the thousands digit of 1086857?
6
What is the ten thousands digit of 1662259?
6
What is the hundreds digit of 3015242?
2
What is the thousands digit of 50116?
0
What is the ten thousands digit of 874678?
7
What is the hundred thousands digit of 5133567?
1
What is the thousands digit of 2207108?
7
What is the ten thousands digit of 1195165?
9
What is the units digit of 508291?
1
What is the hundreds digit of 1356980?
9
What is the units digit of 100030?
0
What is the tens digit of 16103278?
7
What is the thousands digit of 364920?
4
What is the tens digit of 3756440?
4
What is the hundreds digit of 1161670?
6
What is the units digit of 73158?
8
What is the thousands digit of 82997?
2
What is the units digit of 606246?
6
What is the tens digit of 5288333?
3
What is the thousands digit of 406028?
6
What is the thousands digit of 24490456?
0
What is the tens digit of 11368528?
2
What is the ten thousands digit of 14623615?
2
What is the hundred thousands digit of 375924?
3
What is the units digit of 31423?
3
What is the thousands digit of 306304?
6
What is the hundreds digit of 1322083?
0
What is the units digit of 25990623?
3
What is the millions digit of 5465703?
5
What is the units digit of 294772?
2
What is the hundreds digit of 3587909?
9
What is the hundreds digit of 1424146?
1
What is the thousands digit of 22754726?
4
What is the ten thousands digit of 2317316?
1
What is the thousands digit of 1200837?
0
What is the millions digit of 2642198?
2
What is the ten thousands digit of 54455?
5
What is the tens digit of 2260215?
1
What is the units digit of 201589?
9
What is the hundreds digit of 3089821?
8
What is the units digit of 293145?
5
What is the hundred thousands digit of 171532?
1
What is the units digit of 269862?
2
What is the hundreds digit of 5909995?
9
What is the units digit of 124474?
4
What is the tens digit of 8093?
9
What is the hundred thousands digit of 145883?
1
What is the thousands digit of 655961?
5
What is the hundreds digit of 2364221?
2
What is the hundreds digit of 4436475?
4
What is the thousands digit of 15762587?
2
What is the tens digit of 854133?
3
What is the ten thousands digit of 1910141?
1
What is the units digit of 4922799?
9
What is the units digit of 5937875?
5
What is the ten thousands digit of 594383?
9
What is the hundreds digit of 292716?
7
What is the tens digit of 482935?
3
What is the hundreds digit of 142363?
3
What is the hundreds digit of 7158507?
5
What is the ten thousands digit of 264374?
6
What is the hundreds digit of 1760162?
1
What is the ten thousands digit of 1317084?
1
What is the hundred thousands digit of 17118608?
1
What is the units digit of 509730?
0
What is the tens digit of 547353?
5
What is the units digit of 130319?
9
What is the ten thousands digit of 9344370?
4
What is the hundreds digit of 588435?
4
What is the units digit of 85231?
1
What is the units digit of 365001?
1
What is the units digit of 334204?
4
What is the ten thousands digit of 685948?
8
What is the hundreds digit of 536400?
4
What is the hundred thousands digit of 7686537?
6
What is the units digit of 154019?
9
What is the hundreds digit of 5251889?
8
What is the units digit of 1045520?
0
What is the hundred thousands digit of 1851541?
8
What is the thousands digit of 8499517?
9
What is the tens digit of 3279718?
1
What is the ten thousands digit of 164055?
6
What is the hundreds digit of 918598?
5
What is the tens digit of 59089?
8
What is the thousands digit of 2516999?
6
What is the tens digit of 806885?
8
What is the units digit of 416531?
1
What is the hundred thousands digit of 12726201?
7
What is the tens digit of 2395640?
4
What is the units digit of 593890?
0
What is the hundreds digit of 3518439?
4
What is the millions digit of 3930060?
3
What is the hundred thousands digit of 530413?
5
What is the hundred thousands digit of 1172997?
1
What is the ten thousands digit of 8582957?
8
What is the hundred thousands digit of 524339?
5
What is the hundred thousands digit of 5177723?
1
What is the millions digit of 1209103?
1
What is the hundreds digit of 142123?
1
What is the hundred thousands digit of 5474721?
4
What is the tens digit of 91158?
5
What is the hundreds digit of 10424388?
3
What is the hundreds digit of 87614?
6
What is the thousands digit of 14013918?
3
What is the units digit of 5698839?
9
What is the hundreds digit of 18170182?
1
What is the hundreds digit of 5691458?
4
What is the hundreds digit of 223334?
3
What is the units digit of 12141571?
1
What is the ten millions digit of 23124139?
2
What is the ten thousands digit of 721065?
2
What is the tens digit of 68619?
1
What is the units digit of 5506983?
3
What is the thousands digit of 32109956?
9
What is the units digit of 17504396?
6
What is the thousands digit of 554631?
4
What is the units digit of 9489493?
3
What is the thousands digit of 366621?
6
What is the units digit of 326730?
0
What is the tens digit of 60507?
0
What is the thousands digit of 451612?
1
What is the tens digit of 843279?
7
What is the ten thousands digit of 59731?
5
What is the thousands digit of 107776?
7
What is the units digit of 463424?
4
What is the thousands digit of 714923?
4
What is the millions digit of 7145109?
7
What is the hundreds digit of 768617?
6
What is the millions digit of 2632879?
2
What is the ten thousands digit of 266656?
6
What is the units digit of 3191601?
1
What is the thousands digit of 123201?
3
What is the ten thousands digit of 105344?
0
What is the hundreds digit of 8550363?
3
What is the tens digit of 77310?
1
What is the hundred thousands digit of 1
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (-4 + 1 + 2)*(1 - 1 + 3*a)*(-1 + 3 + 2)*(-6 + 2 + 1) in the form j + k*a and give j.
-1
Rearrange (-1 + 1 + 2)*(-1 - 2 - 1)*(-1 + 5 - 2)*(-85*r**4 - 51*r**3 + 35*r**4 + 48*r**4) to the form t*r**3 + g*r**4 + m*r + v*r**2 + z and give t.
816
Express -44 + 182*g**2 + 175*g**2 + 9 + 36 in the form p + r*g + s*g**2 and give s.
357
Rearrange (-23*h**2 + 54*h - 54*h)*(h**2 + 4*h - 4*h)*(3 + 3 - 2) to the form z*h + c*h**4 + k*h**3 + i + u*h**2 and give c.
-92
Express 9*k + 2 + 6*k - 2*k**2 + k - 16*k - 25*k**3 as r + p*k**3 + o*k + z*k**2 and give z.
-2
Express 358*l**3 + 7 - 3*l - 357*l**3 + 5*l in the form a*l + p*l**3 + d*l**2 + z and give a.
2
Express 186*c - 22*c + 40*c as o*c + u and give o.
204
Express 3*x + x**3 + 59*x**2 - 16*x**2 - x + 0*x**3 in the form s*x + l + j*x**2 + i*x**3 and give j.
43
Rearrange (0*a + 0*a - 2*a)*(24 + 40 + 225) to w*a + m and give w.
-578
Express 18*s - 20*s**2 - 5*s**2 - 10*s - 10*s - 2*s**3 as f + m*s**3 + c*s**2 + u*s and give m.
-2
Rearrange 272*t**2 + 12*t - 275*t**2 - 27*t + 13*t to k + v*t + m*t**2 and give v.
-2
Rearrange -3*b + 3*b - b + 4577 - 5135 - 2*b to u*b + k and give k.
-558
Express -222*p**4 + p**2 - p**3 - 226*p**4 + 447*p**4 - 2 in the form f*p**2 + u*p**4 + a + z*p + d*p**3 and give d.
-1
Rearrange (5*s**2 - 362*s + 362*s)*(s**2 + 2*s**2 - 6*s**2)*(0 + 2 + 0)*(-1 + 5 - 3) to n*s**4 + f + m*s + j*s**2 + x*s**3 and give n.
-30
Rearrange -116*t + 51*t - 34*t - 208*t to the form o*t + x and give o.
-307
Rearrange -91*a + 48*a + a**4 + 44*a + 22*a**2 - 5*a**3 + 4*a**3 to c*a**4 + z*a**3 + f + d*a**2 + y*a and give c.
1
Rearrange -569 + 859*m + 286 + 283 to the form v + o*m and give o.
859
Rearrange (-35*u - 334 + 334 - 3*u + 5*u + u - 3*u + 4*u - 2*u + (0 + 0 + 2)*(-2 + u + 2))*(2*u + 3*u - 4*u) to t*u**2 + m*u + l and give l.
0
Express -21 + 16 - 8 + 11*o**2 as n + s*o + y*o**2 and give n.
-13
Rearrange (-3 - 2 + 0 + (-3 + 0 + 1)*(2 - 1 - 3) + 1 - 1 - 8 + (-3 - 1 + 3)*(-1 - 1 + 1))*(-5 - 12*l + 5) to k + z*l and give z.
96
Rearrange (-d - d + 4*d)*(0 + 678*d - 120*d + 2) to v*d + w + t*d**2 and give t.
1116
Express 116*f**2 + 165*f**2 - 3*f**2 + (7*f**2 + 6*f**2 - 2*f**2)*(-1 + 3 + 0) as v + d*f + a*f**2 and give a.
300
Express 7*k**4 - k**3 + 1713 + 2*k**4 - 838 - 848 as h*k + n + a*k**2 + t*k**4 + s*k**3 and give t.
9
Rearrange (4 - 4 + j)*(0 + 7 + 4)*(-30*j + 17 + 28*j + 6*j) to the form f + s*j**2 + u*j and give u.
187
Express 153*x**2 + 54*x**2 + 186*x**2 in the form k*x + c*x**2 + r and give c.
393
Rearrange (0*b - 3*b**2 + 0*b)*(0 + 2*b + 0) - 244*b**3 + 309 - 309 to the form u*b + r*b**2 + m*b**3 + g and give m.
-250
Express 7747*k - 2 + 7762*k - 15547*k - 4*k**3 as u + i*k**2 + n*k + f*k**3 and give f.
-4
Express (2*q - 6*q + 3*q)*(0*q**2 + 6*q**2 - q**2) - 6*q + 4*q - 2*q**3 + q**3 as c + w*q**2 + z*q + s*q**3 and give z.
-2
Rearrange o**3 + 3*o**3 + 2706*o**2 - 3*o**3 - 2708*o**2 - 42 to the form q*o**3 + s*o**2 + m*o + x and give s.
-2
Express (4 + 0 - 2)*(4*s - 3*s - 2*s)*(1638*s**2 - 1646*s**2 + 4*s**3 - 2*s**3) as v*s**2 + i*s**3 + t*s**4 + o + g*s and give t.
-4
Express 176*o**2 + 248*o - 491*o + 242*o as s + p*o**2 + r*o and give p.
176
Express (-58*y + 51*y - 95*y)*(-y + 4 - 4) + 0*y**2 - y**2 + y + 3*y**2 in the form k*y**2 + s*y + h and give k.
104
Rearrange 6 + 5*c**2 - 7 + 3*c - 9*c + 28*c to the form t + o*c + l*c**2 and give o.
22
Express (w - 7 - 3*w - 1)*(1 - 4 + 2) as s + k*w and give k.
2
Rearrange -2*c**2 + 2*c**2 + 2*c**3 + (-5*c + 4*c + 2*c)*(-382 + 382 + 253*c**2) to the form u + n*c**3 + g*c + r*c**2 and give n.
255
Rearrange -16 - k + 53 - 15 + 422 to the form h + a*k and give h.
444
Express (1 - 1 + 2)*(-8*p**3 + 4*p**3 - 12*p**3) - 9*p**3 - 5*p**3 + 0*p**3 in the form c*p**3 + b*p + t*p**2 + u and give c.
-46
Express (2 - 1 - 2)*(1 - 5 + 1)*(-b + 2*b - 5 - 2*b) in the form d*b + s and give d.
-3
Rearrange (-4 - 2 - 2)*(3*b - 6*b + 0*b + (20*b - 73*b - 50*b)*(-4 + 3 - 1)) to the form d + i*b and give i.
-1624
Express -10 - 12*d**2 + 33 - d - d - 21 in the form s + b*d**2 + g*d and give b.
-12
Express 169*u**3 + 2*u**2 - 2*u + 2*u - 164*u**3 as r*u**3 + a*u**2 + j + b*u and give a.
2
Rearrange -t**2 - 3*t**4 + 6*t + 2*t**4 - 2 - 2*t - 2*t**3 - 3*t to the form o + b*t**4 + i*t**3 + a*t + f*t**2 and give f.
-1
Rearrange (-2*u + 0*u + 4*u)*(-23*u + 31*u + 312*u) + 5*u**2 + 2*u**2 - 4*u**2 to q*u**2 + g + m*u and give q.
643
Express 2*q**2 + q**2 - q**2 + (0 + 0 - q)*(2*q + 0*q + 2*q) - 9*q**2 - q**2 - 2*q**2 in the form c + a*q**2 + l*q and give c.
0
Rearrange (-1 - 1 + 3 + 13*i)*(-2*i - 7*i + i) to the form a*i**2 + j + u*i and give u.
-8
Rearrange (-6*j - 8*j - j)*(-2*j + j + 0*j) + (22*j - 46*j + 25*j)*(-2*j - j + j) to the form t*j**2 + l + d*j and give t.
13
Rearrange -83*m - 491*m**4 - 499*m**4 + 987*m**4 - m**2 - 31*m to the form a*m**2 + o*m**4 + n*m + i + s*m**3 and give a.
-1
Express (-4 - z + 4)*(1 + 3*z - 1) + 0 + 2*z**2 + 0 + 2 - 22*z - 41*z**2 - 3 + 43*z**2 as s*z + g + c*z**2 and give c.
1
Express (2*o**3 - 3*o**3 - 5*o**3)*(4*o - 5 - 3*o + 13) in the form y*o**4 + s*o**3 + q*o + f*o**2 + u and give s.
-48
Rearrange -2*t**3 - 7196 - 2*t + 0*t**3 + 7205 - t to u*t + m*t**2 + k*t**3 + j and give m.
0
Express -2876 - 606*a + 2876 in the form j + l*a and give l.
-606
Rearrange -58*g**2 + 23*g - 50*g**2 - 14*g - 11*g to t*g**2 + u*g + w and give t.
-108
Express (-2 - 27 + 7)*(-49*b - 81*b + 37*b) as a + x*b and give x.
2046
Express -92*o**2 + 150*o**2 + 141*o**2 + 50*o**2 in the form s*o**2 + l + j*o and give l.
0
Rearrange 808 + 452 - 3*s**2 + 4*s**2 + 9*s - 9*s to the form c + y*s + q*s**2 and give q.
1
Rearrange -514*t**2 - 461*t**2 + 913*t**2 to the form p*t + q*t**2 + c and give q.
-62
Express (4 - 3 - 2)*(p + p - 7*p) + 5*p + 3*p - p in the form y + h*p and give h.
12
Express 3*n**4 + 28*n**3 + 125*n**2 - 5*n - 2 - 124*n**2 + 6*n as p*n**2 + h*n**3 + f*n + w + r*n**4 and give h.
28
Express 6*t + 9*t - 5*t + 3*t - 4*t + 3*t + (-1 + 0 - 1)*(17*t + 6*t - t) in the form s*t + v and give s.
-32
Rearrange -2*t**2 - 3 + 4*t**3 - 3*t**3 + 13 + 4 + t**3 + t to the form i*t**2 + g*t**3 + w + z*t and give w.
14
Rearrange (22*c - 8*c + 1 - 13*c)*(7*c + 0*c - 3*c)*(-2*c + 0*c + 0*c) to the form w*c**2 + t + m*c + h*c**3 and give h.
-8
Rearrange 94*m + 179*m - 69*m to the form x + k*m and give k.
204
Rearrange -k**3 - 21 - 23*k**2 + 5 + 24*k**2 to y + b*k**2 + j*k + t*k**3 and give j.
0
Rearrange -473*j**3 - 14*j + 1015*j**3 - 498*j**3 to q*j + a + d*j**2 + y*j**3 and give y.
44
Express -26 - 115 + 0*q**4 - q**4 - 3*q**3 + 31 as z*q + u*q**3 + l*q**4 + y*q**2 + h and give u.
-3
Rearrange -3 - 1976*v + 1911*v + 3 to the form j*v + c and give j.
-65
Express 250*d**3 - 257*d**3 + 2*d**2 + 2*d**2 + 2*d**4 + d as o + f*d + r*d**3 + c*d**4 + n*d**2 and give r.
-7
Rearrange b**2 - b + b + (2*b + 0 + 0)*(-b - 2*b + b) + 3*b + 2*b**2 - 3*b + 14*b**2 - 3*b**2 + 0*b**2 to the form y + t*b**2 + l*b and give t.
10
Rearrange g - 7 - 10*g + 14*g to the form y + b*g and give b.
5
Express -2*v**2 - 688*v + 2*v**4 + 49 - 684*v + 1371*v in the form m*v**4 + u*v**3 + h*v + n + x*v**2 and give m.
2
Express -2*y - 2*y + 5*y + 2*y - 3*y + 3*y + (2*y + 3 - 3)*(3 - 4 + 2) + y - 6*y - 48 + 7*y in the form t + j*y and give t.
-48
Rearrange (-v**2 - 5*v**2 + 3*v**2)*(-2*v**2 + 4*v**2 + 0*v**2 + (3*v - 3*v + 2*v)*(-10 + 3*v + 10)) to the form w*v**2 + p*v**3 + k*v + z*v**4 + j and give z.
-24
Express (32*z + 102*z - 18*z)*(3*z - z - 3*z) as v*z + a + c*z**2 and give c.
-116
Express l**3 - 757 + 382 + 2*l + 387 in the form f + c*l + k*l**3 + h*l**2 and give c.
2
Rearrange 36*p**3 - 35*p**2 + 10 - 35*p**2 + 70*p**2 + 3*p**4 - 8 to the form y*p + o*p**3 + r + b*p**4 + u*p**2 and give r.
2
Rearrange -292*n + 458*n - 309 + 309 + 952*n to i*n + k and give i.
1118
Express 15 + 3*u**2 + 22 + 14 - 8 as m*u**2 + n*u + a and give m.
3
Express 105*i**2 + 104*i**2 + 1 - 192*i**2 in the form o + c*i**2 + j*i and give o.
1
Rearrange (-1 + 1 + w)*(3*w + 1 - 1 + (-2*w + 0*w + 3*w)*(1 + 3 - 5) - 20*w - 2 - 24*w + 41*w) + 2*w**2 - w**2 - 3*w**2 to r*w**2 + d*w + x and give d.
-2
Rearrange (z**2 - 4*z**2 + z**2)*(-z**2 - 1 + 1) + 12*z**4 - 8*z**4 - z + 9*z**4 - 4 to s*z**2 + p*z**3 + o*z + q*z**4 + f and
|
{
"pile_set_name": "DM Mathematics"
}
|
ters are there in 76/5 of a micrometer?
15200
What is twenty-one eighths of a litre in millilitres?
2625
What is 53.44365 millennia in years?
53443.65
What is 40566.32 micrometers in nanometers?
40566320
What is 919307.6km in centimeters?
91930760000
How many millilitres are there in three eighths of a litre?
375
How many milliseconds are there in 2.95092 days?
254959488
Convert 9281.54s to milliseconds.
9281540
How many grams are there in 57.88775 milligrams?
0.05788775
How many decades are there in 17/4 of a millennium?
425
What is 227.85417 seconds in hours?
0.063292825
Convert 4.014059mm to centimeters.
0.4014059
How many years are there in thirty-one fifths of a century?
620
What is sixty-one halves of a microsecond in nanoseconds?
30500
How many millilitres are there in 17/4 of a litre?
4250
How many tonnes are there in 25869.55kg?
25.86955
Convert 0.5825213nm to millimeters.
0.0000005825213
How many millilitres are there in eleven halves of a litre?
5500
How many millimeters are there in 0.8061125um?
0.0008061125
What is 2/75 of a millennium in months?
320
What is 26008.35ng in micrograms?
26.00835
Convert 99688673.7us to weeks.
0.00016482915625
Convert 0.5381823 litres to millilitres.
538.1823
What is 0.7595705 micrometers in nanometers?
759.5705
How many micrograms are there in 393.3182t?
393318200000000
How many millilitres are there in 0.3248079 litres?
324.8079
How many millimeters are there in eighteen fifths of a centimeter?
36
What is twenty-five halves of a millennium in decades?
1250
What is 10075.08 weeks in minutes?
101556806.4
What is 0.0493532 millilitres in litres?
0.0000493532
How many minutes are there in 49/5 of a week?
98784
What is 52/5 of a litre in millilitres?
10400
What is 3.637826ml in litres?
0.003637826
What is 3589.055t in nanograms?
3589055000000000000
What is 3/10 of a litre in millilitres?
300
Convert 4671.74 milligrams to kilograms.
0.00467174
How many milligrams are there in 5622.908ug?
5.622908
What is 6/5 of a day in minutes?
1728
How many minutes are there in fourty-two fifths of a week?
84672
What is 878.4062 tonnes in grams?
878406200
How many seconds are there in three fifths of a day?
51840
What is 9946.474 decades in years?
99464.74
How many milliseconds are there in 0.1038586 microseconds?
0.0001038586
Convert 985.556l to millilitres.
985556
How many millilitres are there in seven quarters of a litre?
1750
How many hours are there in five quarters of a week?
210
How many litres are there in 7938.735ml?
7.938735
Convert 3257.398 minutes to seconds.
195443.88
What is 0.4331395ml in litres?
0.0004331395
What is 11/8 of a milligram in micrograms?
1375
How many hours are there in 26/7 of a week?
624
What is 19149.744 microseconds in minutes?
0.0003191624
What is 378.8295 millilitres in litres?
0.3788295
How many micrometers are there in 7/25 of a centimeter?
2800
What is 3/5 of a micrometer in nanometers?
600
How many minutes are there in 4/3 of a day?
1920
How many meters are there in twenty-seven fifths of a kilometer?
5400
Convert 0.70181 days to milliseconds.
60636384
What is 72614.06km in centimeters?
7261406000
What is five quarters of a litre in millilitres?
1250
How many millimeters are there in three tenths of a meter?
300
How many millilitres are there in 185102.2 litres?
185102200
Convert 477.0188 days to microseconds.
41214424320000
What is eleven halves of a millennium in decades?
550
How many grams are there in 11587.59 milligrams?
11.58759
How many kilograms are there in three fifths of a tonne?
600
How many nanoseconds are there in 1/10 of a microsecond?
100
What is 547909.6 meters in millimeters?
547909600
What is 93.85816kg in tonnes?
0.09385816
What is thirty-seven halves of a centimeter in millimeters?
185
How many millilitres are there in one tenth of a litre?
100
What is 41.0094 millimeters in kilometers?
0.0000410094
What is thirteen quarters of a litre in millilitres?
3250
What is 4.824732 years in months?
57.896784
How many centimeters are there in 24.53524 micrometers?
0.002453524
How many micrograms are there in 6/5 of a milligram?
1200
What is 3984.9m in nanometers?
3984900000000
What is 345680.19s in hours?
96.022275
What is 1/30 of a minute in milliseconds?
2000
What is 3.773383 grams in kilograms?
0.003773383
Convert 426.2269 tonnes to micrograms.
426226900000000
How many millimeters are there in 6/25 of a meter?
240
How many hours are there in 252.91641 minutes?
4.2152735
What is twenty-seven fifths of a day in minutes?
7776
What is 916300.7nm in centimeters?
0.09163007
How many months are there in nineteen quarters of a year?
57
Convert 5.3392 millennia to decades.
533.92
Convert 34.92369 nanoseconds to days.
0.000000000000404209375
How many micrograms are there in three fifths of a milligram?
600
How many meters are there in one fifth of a kilometer?
200
How many millilitres are there in 15/4 of a litre?
3750
What is three eighths of a millisecond in microseconds?
375
Convert 2.18667t to nanograms.
2186670000000000
What is 8264.526mg in kilograms?
0.008264526
What is 4.96757 millimeters in meters?
0.00496757
Convert 5.641135ng to grams.
0.000000005641135
Convert 0.0189053 hours to nanoseconds.
68059080000
How many millilitres are there in 31/5 of a litre?
6200
Convert 23.61433 millilitres to litres.
0.02361433
What is 62898.16 milligrams in kilograms?
0.06289816
How many milligrams are there in 7.817956 micrograms?
0.007817956
How many centimeters are there in seventeen quarters of a meter?
425
What is four thirds of a week in minutes?
13440
Convert 65.831886ms to hours.
0.000018286635
How many millennia are there in 2853.3375 months?
0.237778125
How many millilitres are there in one quarter of a litre?
250
Convert 9262.482l to millilitres.
9262482
What is 97599.33ms in nanoseconds?
97599330000
How many millilitres are there in 0.0073033 litres?
7.3033
What is 3/5 of a kilogram in grams?
600
How many decades are there in 61281.32 years?
6128.132
How many hours are there in 7/4 of a week?
294
Convert 376034.1 millilitres to litres.
376.0341
What is twenty-six fifths of a litre in millilitres?
5200
What is fifty-two fifths of a litre in millilitres?
10400
What is eleven quarters of a litre in millilitres?
2750
What is 8.742276 millilitres in litres?
0.008742276
Convert 171200.6 millimeters to micrometers.
171200600
How many hours are there in 4/3 of a day?
32
How many meters are there in twenty-nine fifths of a kilometer?
5800
How many nanoseconds are there in 3.51039s?
3510390000
Convert 52870.97 decades to millennia.
528.7097
What is 84912.51 milligrams in grams?
84.91251
What is 21851.94 grams in tonnes?
0.02185194
How many litres are there in 37391.77 millilitres?
37.39177
How many millimeters are there in 0.6612107cm?
6.612107
How many millilitres are there in 41/2 of a litre?
20500
How many millimeters are there in fifty-four fifths of a centimeter?
108
What is 1/4 of a minute in milliseconds?
15000
What is 79/3 of a hour in seconds?
94800
Convert 0.887267mm to nanometers.
887267
Convert 8649.125 micrograms to grams.
0.008649125
What is seven quarters of a millisecond in microseconds?
1750
How many milligrams are there in 0.675135 nanograms?
0.000000675135
How many months are there in 8/3 of a decade?
320
Convert 2.246542l to millilitres.
2246.542
How many milligrams are there in thirty-seven halves of a gram?
18500
What is 1/24 of a week in minutes?
420
What is 3/5 of a gram in milligrams?
600
What is 552.7782 milligrams in tonnes?
0.0000005527782
How many days are there in 8087249.7 minutes?
5616.145625
How many months are there in eleven halves of a century?
6600
How many milligrams are there in 1/10 of a gram?
100
What is 42/5 of a microsecond in nanoseconds?
8400
Convert 52.81317 millennia to months.
633758.04
What is 714481.2 millennia in months?
8573774400
What is 7/4 of a litre in millilitres?
1750
How many months are there in 52.01308 millennia?
624156.96
What is 1562.142 micrometers in millimeters?
1.562142
What is 36.93976 litres in millilitres?
36939.76
What is 0.0629953km in nanometers?
62995300000
What is 1/10 of a meter in millimeters?
100
How many centimeters are there in 3/10 of a kilometer?
30000
How many weeks are there in 58.3967664 minut
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 52*z - 116. Let b be j(-28). Give o(b).
38
Let u(v) = -v**3 - 20*v**2 + v + 11. Let a(o) = -o**3 + 47*o**2 - 55*o + 394. Let z be a(46). Calculate u(z).
-9
Let t be (3/(-1))/((-2)/474). Let l = t + -714. Let o(n) = n**3 - n**2 + 2. Calculate o(l).
-34
Let v(q) = -q**3 - 3. Let j = -20 - -13. Let d = j - -10. Suppose 0 = 2*h - d*h. Give v(h).
-3
Let l(r) = r**3 + 18*r**2 + 32*r + 1. Let s be ((-2808)/(-1755))/((-2)/20). What is l(s)?
1
Let k = -4870 - -4863. Let q(b) = b**2 - 3*b - 15. What is q(k)?
55
Let y(f) = -f**3 + 16*f + f - 23*f - f + 54*f - 21*f**2 + 32. Give y(-23).
9
Let d(x) = -2*x**2 + 59*x - 24. Let g be d(29). Let h(b) = -g*b**2 - 7 + 5*b**2 + 8*b - 3*b - b**2. Determine h(7).
-21
Suppose 4*j + j - 2 = 4*b, -2*j = -3*b + 2. Let u(f) = -31*f**2 + 11*f**2 - 1 - f**3 - 4*f + 5*f + 14*f**j. Let r be 1/(-1) - (6 + -1). Determine u(r).
-7
Let s(a) = -1 + 2181*a + 2185*a - 6554*a + 2187*a. Let b(l) = 1. Let z(d) = d - 5. Let i(f) = 6*b(f) + z(f). Let t(o) = -2*i(o) - 3*s(o). Give t(5).
6
Let p(j) = -j**2 - 5*j + 5. Let w = 64 - 59. Let d(r) = 10*r + 5 - w*r - 22 - 4*r. Let f be d(11). Determine p(f).
-1
Let v = -2900 + 2899. Let a(m) = 34*m**3 - 3*m - 2. Determine a(v).
-33
Let m be (2 + -2 + -1)*1. Let o(x) = 3*x**3 + x**2 + x - 4. Let i(r) = 18*r**3 + 9*r**2 + 9*r - 37. Let z(k) = -i(k) + 9*o(k). Calculate z(m).
-8
Let n(c) = -c**3 + 4*c**2 - 3*c. Let b be n(2). Suppose 5*d = -b*d - 35. Let y be (d/20 - 14/8) + 5. Let l(z) = z - 5. Determine l(y).
-2
Suppose 698 = -7*t + 642. Let a(h) be the second derivative of -h**5/20 - 3*h**4/4 - 4*h**3/3 - 5*h**2/2 - 13*h + 1. Calculate a(t).
-5
Let x(i) = 333*i**2 + 2*i - 1. Let v be x(1). Let s(b) = v - 4*b - 671 + 336. What is s(1)?
-5
Let b = 8 + -5. Suppose 0 = -5*y + b*o + 62, -4*y + o + 0*o = -44. Let x(c) be the third derivative of -c**4/12 + 7*c**3/3 + 17*c**2 + 5*c. Determine x(y).
-6
Let m be (52/65)/(38/20 + -2). Let x be (m - -7)/(1/(-20)). Suppose -a + x = -11*a. Let d(s) = -2*s - 3. What is d(a)?
1
Let r(c) = -c**2 - 1 + 3 + 5*c**2 - 3. Let p(d) = 2*d**2 - 25*d - 14. Suppose -2*o = -2*m + 2*o + 10, -m + o = -9. Let u be p(m). Give r(u).
3
Let v = -247 + 601. Let r = -339 + v. Let k(y) = y**2 - 16*y + 7. Determine k(r).
-8
Let v(s) be the second derivative of 113 + 2*s + 5/12*s**4 + 1/20*s**5 + 5/6*s**3 + 2*s**2. Give v(-2).
6
Let k(l) = -l**3 + 11*l**2 - 12. Let x(r) = -12*r - 193. Let m be x(-17). Give k(m).
-12
Let q(s) be the third derivative of s**7/840 - s**6/60 - s**5/24 - s**4/3 + 11*s**3 - 6*s**2. Let c(z) be the first derivative of q(z). Determine c(7).
6
Let b be 1/(-3) + (-24)/36. Let t be (-178)/(-4) + -4*b/(-8). Let m be (-8)/t + (2 - (-48)/22). Let z(h) = -h**2 + h + 4. Calculate z(m).
-8
Suppose -6642*w + 6666*w - 48 = 0. Let c(n) = -11*n**3 + 3*n**2 + n - 1. What is c(w)?
-75
Let x(k) = -k**2 - 6*k + 2. Let q(d) = -89*d**2 - 536*d - 17. Let l be q(-6). Calculate x(l).
7
Suppose -5*m + 4*u = -47 + 9, 2*m - 22 = 5*u. Let g(n) = 2*n - 28. Give g(m).
-16
Let d(i) = -12*i - 31. Let a(h) = -165*h - 5120. Let v be a(-31). Give d(v).
29
Let r(n) be the first derivative of n**4 + n**3/3 + n**2 + n - 7611. Let c(s) = -s**2 - s + 2. Let q be c(-2). Suppose 4 = -4*l - q. Give r(l).
-4
Let b be (9/6)/(213/568). Let l(f) be the third derivative of -7/40*f**6 - 21*f**2 + 1/60*f**5 - 1/24*f**b + 0*f + 0 + 1/6*f**3. What is l(1)?
-20
Let h(w) be the first derivative of -3*w**2 + 173*w + 1846. Give h(29).
-1
Let x(z) = z**2 - 5*z + 8. Let l(v) = v**3 + 5*v**2 - 7*v - 17. Let j be l(-5). Suppose j = 3*n - 3. Calculate x(n).
22
Let a(m) be the third derivative of 6 + 0*m + 1/12*m**4 - 16*m**2 - 5/3*m**3. Give a(6).
2
Let c(l) = l + 2. Let s(h) = 1. Let r(n) = n + 6. Let z(k) = r(k) - s(k). Let d(q) = 3*c(q) - 2*z(q). Let v(o) = -o**2 + 5*o + 6. Let p be v(6). Calculate d(p).
-4
Let t(u) = -u**3 - 8*u**2 + 7*u - 1. Let j be t(-7). Let w = -94 - j. Let r(f) = -2*f**2 + 0*f - 3*f**2 + w*f + 3 + 4*f**2. Determine r(5).
3
Let z(q) = -53*q**2 + 63*q**2 + q**3 + 118 - 128. Give z(-10).
-10
Let a(j) be the first derivative of 3*j**2 + 414*j - 913. Determine a(-68).
6
Let x(d) = -d + 11. Let t be -1 + (-6 - -24) + -10. What is x(t)?
4
Let p be 9*(-1)/(-2)*14/(-21). Let l(o) = -o - 2. Let s be l(p). Let w(u) = s + 14*u**3 - 2 + u - 31*u**3 + 0. Give w(1).
-17
Let o(g) = -4 - 2 + 33*g - 38*g. Let a(y) = -1. Let m(x) = x + 2. Let l(n) = 2*a(n) + m(n). Let p(v) = 6*l(v) + o(v). Give p(0).
-6
Let m be -8948*6/(-9)*(-9)/(-24). Let v(t) = t**2 - 11*t + t + m - 2226. Determine v(9).
2
Let f(p) = 2*p + 5*p - 9*p + 22*p**3 - 4*p**2 - 36*p**3 + 11*p**3 - 8. Give f(-2).
4
Let c(f) = 3*f. Suppose 3*x + 76 = 4*x. Suppose -q = g - 37 + 115, -2*g = -4*q - 306. Let p = q + x. Determine c(p).
-3
Let r(f) be the third derivative of f**5/4 + f**4/24 - f**3/6 + 4*f**2 + 1. Suppose 9*p + 4 = -5. What is r(p)?
13
Let i(o) be the second derivative of -7*o**3/6 + 5*o**2/2 - 17*o - 7. Give i(-7).
54
Let j(x) = -2 - 6*x + 31*x**3 - 3 + 440*x**2 - 442*x**2. Let c(t) = -10*t**3 + t**2 + 2*t + 2. Let p(n) = 8*c(n) + 3*j(n). What is p(1)?
14
Let g be (15864/16)/(3/2). Let p = g + -650. Let i(h) = h**2 - 9*h - 14. Calculate i(p).
8
Let q(h) = -h + 9. Suppose 277*f + 20 = -k + 273*f, 0 = 5*k - 5*f + 100. Determine q(k).
29
Let b(h) = -134*h - 2414. Let a be b(-18). Let f(i) be the third derivative of 1/15*i**5 + 1/6*i**3 + 0 + 0*i + i**2 - 1/12*i**4. Give f(a).
21
Let n(z) = -13*z**2 + 13*z + 61. Let w(m) = 10*m**2 - 14*m - 60. Let h(q) = -4*n(q) - 5*w(q). Calculate h(-6).
20
Let w(f) = 11*f**3 + 10*f**2 + 5*f + 60. Let c(b) = -20*b**3 - 18*b**2 - 9*b - 110. Let r(q) = -6*c(q) - 11*w(q). Let g = -4 - -2. Give r(g).
2
Let z = 8620 + -8615. Let h(w) be the first derivative of 14 + z*w - 1/2*w**2. Determine h(-5).
10
Let a(w) = -w**3 + 11*w**2 + 22*w + 54. Suppose 7937*g - 83 = 7923*g + 99. What is a(g)?
2
Suppose g + b + 3 = 0, 4*b + 2 + 4 = -g. Let u(q) = -q + 1. Let j(d) = 2*d - 1. Let a(s) = 5*j(s) + 6*u(s). Determine a(g).
-7
Let k(w) be the second derivative of 1/2*w**2 + 1/6*w**3 + 0 - 78*w. Give k(-9).
-8
Let m = -5886 - -5907. Let n(o) = o**2 - 20*o - 24. Determine n(m).
-3
Let y(b) be the first derivative of -35*b**2/2 - 211*b + 3046. Calculate y(-6).
-1
Let z(h) = 4*h - 93. Let a be 29824/(-699)*(-3)/4 + -7. Calculate z(a).
7
Let b(g) be the second derivative of -g**5/60 - g**4/6 - 5*g**3/6 - 26*g**2 - 52*g + 2. Let z(j) be the first derivative of b(j). Determine z(-4).
-5
Let c(a) = 27*a**3 - 7*a**2 - 35*a + 128. Let i(n) = -11*n**3 + 4*n**2 + 17*n - 63. Let j(r) = -2*c(r) - 5*i(r). Give j(7).
3
Let n(j) be the first derivative of -j**4/4 - 5*j**3/3 - j**2/2 - 337. Let m = 7 + -5. Suppose -m*f - 3 + 29 = -4*y, -4*y + 4*f - 32 = 0. Give n(y).
5
Let k(f) = -f - 245. Let i(j) = -j - 323. Let y(d) = 3*i(d) - 4*k(d). Let o(l) = -l**2 + 7*l - 2. Let b be o(9). Determine y(b).
-9
Let x(n) be the third derivative of n**5/60 - n**4/8 - 5*n**3/2 + 1473*n**2. Calculate x(4).
-11
Let v(s) = -30*s + 84. Let b = -1748 + 1751. Calculate v(b).
-6
Suppose g - 2*g = 5*r + 12, -2*r = 3*g + 10. Let y(p) = 6*p**2 - 2106*p + 1. Let h(m) = 7*m**2 - 2527*m + 1. Let t(k) = 5*h(k) - 6*y(k). What is t(r)?
-7
Let u(r) be the third derivative of -7*r**2 + 0*r**3 + 0*r + 5/24*r**4 + 0. Let s(f) = -f**3 - 36*f**2 + 75*f - 39. Let l be s(-38). Determine u(l).
-5
Let v(b) be the first derivative of -b**5/120 + 23*b**4/24 + 2*b**3/3 + 11*b**2/2 + 72. Let c(q) be the third derivative of v(q). What is c(10)?
13
Let p(f) = f**3 - 8*f**2. Let j be p(8). Suppose j = 2*q - 3*v - 23, 0*q + 5*q + 5 = -5*v. Let s(i) = 4*i - 79*i**2 - 81*i**2 - q + 159*i**2. What is s(3)?
-1
Let t(h) = 12*h**2 + 175. Let s(g) = 7*g**2 + 103. Let a(i) = -5*s(i) + 3*t(i). Calculate a(-9).
91
Let w(l) = -l**3 - 2*l**2 + 4*l + 6. Let r be w(-3). Let h be 3 + 3 + r + -3 + -4. Let o(n) = 0 + 9*n**2 - 4*n**h - 3*n**2 + 2*n - n**3 + 1. What is o(-1)?
2
Let y = 71 - 74. Suppose 0*i + 2*i - 10 = -2*k, -2*k + 14 = 3*i. Let a(b) = -4*b**2 - i + 4*b**2 - 6*b + 5*b + b**2. Determine a(y).
8
Let m(z) be the third derivative of -1/2*z**3 + 11*z + 0 + 4*z**2 + 5/24*z**4. Give m(-3).
-18
Let z be ((-736)/368)/(-2*(-1)/(-5)). Let i(k) = k**3 - 5*k**2 - 2*k - 6. Give i(z).
-16
Let n(a) =
|
{
"pile_set_name": "DM Mathematics"
}
|
is 11 - 302030?
-302013
In base 10, what is 4 + -57?
-53
In base 15, what is -2 + -e?
-11
In base 5, what is -104 + -2?
-111
In base 7, what is -21 + 5?
-13
In base 12, what is -21 - 3?
-24
In base 16, what is 18 + -23?
-b
In base 16, what is 8 - 27e?
-276
In base 7, what is 123 - -2?
125
In base 9, what is 2 + 100?
102
In base 9, what is -40 + 43?
3
In base 2, what is -110 + -1000?
-1110
In base 7, what is -346 - 3?
-352
In base 4, what is -11 + -3032?
-3103
In base 6, what is -5351 - 3?
-5354
In base 8, what is 0 + 34?
34
In base 8, what is -364 + -2?
-366
In base 4, what is 13233 + 200?
20033
In base 12, what is 123 + 2?
125
In base 11, what is -81a + -3?
-822
In base 5, what is 122 + -10?
112
In base 10, what is 34 - -12?
46
In base 6, what is 1343 + -10?
1333
In base 5, what is 201 + -4?
142
In base 3, what is 2 - 12001?
-11222
In base 15, what is -5 + -71a?
-720
In base 5, what is -4 - 311?
-320
In base 4, what is 3 + 2011?
2020
In base 4, what is -10210 + 3?
-10201
In base 14, what is 2 - b?
-9
In base 6, what is 301 + 4?
305
In base 6, what is -44322 - 5?
-44331
In base 7, what is 136 + 20?
156
In base 6, what is -110 - 0?
-110
In base 6, what is -1 - 20433?
-20434
In base 2, what is -101010011 - -10?
-101010001
In base 8, what is -6 - -1?
-5
In base 2, what is 1010 - 10100000?
-10010110
In base 15, what is -63 - -1?
-62
In base 13, what is 3 - -10a?
110
In base 15, what is 1 - -18b4?
18b5
In base 11, what is 2 + 583?
585
In base 15, what is -94 - 5?
-99
In base 14, what is -12 + -34a?
-35c
In base 13, what is -2 + -21?
-23
In base 2, what is 100111110000 - -101?
100111110101
In base 2, what is -11 - 100110101?
-100111000
In base 12, what is 67a - -a?
688
In base 16, what is 13 + 90?
a3
In base 14, what is -5 - -ab?
a6
In base 6, what is 304 + 4?
312
In base 9, what is -1 + 138?
137
In base 8, what is -175 + 135?
-40
In base 13, what is 2c - 1?
2b
In base 6, what is 5 - 13052?
-13043
In base 16, what is 5 - -529?
52e
In base 9, what is 5 - -16?
22
In base 4, what is 202 + 11202?
12010
In base 3, what is 22 - -120?
212
In base 3, what is -11201 - 120?
-12021
In base 11, what is 1 - 2156?
-2155
In base 16, what is -1 + -36?
-37
In base 6, what is -221 - 152?
-413
In base 5, what is -111 + -1024?
-1140
In base 3, what is 1001020 + 10?
1001100
In base 8, what is 141 - -4?
145
In base 7, what is 5 + 420?
425
In base 15, what is 4 - 54?
-50
In base 3, what is -1 + -11?
-12
In base 10, what is -2 - 54?
-56
In base 4, what is 223 - 11?
212
In base 5, what is 1200 + 3?
1203
In base 2, what is 111 - -1101?
10100
In base 6, what is -4 - -1211?
1203
In base 16, what is -21 - -4?
-1d
In base 9, what is -10 - -2?
-7
In base 6, what is 13 + 22?
35
In base 6, what is 3 - -2333?
2340
In base 9, what is 118 - -5?
124
In base 12, what is 33 - 20?
13
In base 11, what is 2 + 59?
60
In base 6, what is -3 - 2253?
-2300
In base 5, what is -31 + -120?
-201
In base 14, what is -2 - -d8?
d6
In base 11, what is -382 - 8?
-38a
In base 10, what is -26 + 52?
26
In base 16, what is 4 + 37?
3b
In base 15, what is 350 - -2?
352
In base 3, what is -10 - -11011?
11001
In base 15, what is -84 + -4?
-88
In base 14, what is -3 + d8?
d5
In base 4, what is -2323 + -300?
-3223
In base 5, what is 10 + -2210?
-2200
In base 11, what is 4269 + -1?
4268
In base 11, what is -49 + 9?
-40
In base 9, what is -383 + -10?
-403
In base 11, what is -16 - -13?
-3
In base 15, what is 8 - 7?
1
In base 4, what is 11 - -3020?
3031
In base 10, what is 0 + 5?
5
In base 12, what is 2057 + 3?
205a
In base 15, what is -11 + -38?
-49
In base 5, what is -30 - 3104?
-3134
In base 5, what is -2 - 1130?
-1132
In base 6, what is -202 - 12?
-214
In base 5, what is 32 - -203?
240
In base 14, what is 1 + -1344?
-1343
In base 8, what is 22 + 20?
42
In base 5, what is -31040 - 10?
-31100
In base 13, what is 23b + -1?
23a
In base 6, what is 113 - -3?
120
In base 2, what is -10 + -11011110?
-11100000
In base 15, what is -59b + -3?
-59e
In base 10, what is 845 - 10?
835
In base 8, what is -126 - 26?
-154
In base 14, what is 37 + -3?
34
In base 11, what is -a22 - 4?
-a26
In base 5, what is -240 - 3?
-243
In base 6, what is 50 - 2?
44
In base 7, what is 23 + 15?
41
In base 4, what is 322 + -2?
320
In base 15, what is 3 + -18a?
-187
In base 6, what is -5 + -12002?
-12011
In base 12, what is -4 - 82?
-86
In base 9, what is 130 + 1?
131
In base 15, what is -39 + -6?
-40
In base 15, what is -391 - 0?
-391
In base 14, what is -1c7 - -2?
-1c5
In base 5, what is -403 - -224?
-124
In base 3, what is -1011 - 222?
-2010
In base 8, what is -1 - 163?
-164
In base 15, what is -1 - -7?
6
In base 13, what is -25 - 8?
-30
In base 6, what is 221 - -10?
231
In base 13, what is 5 + -bc7?
-bc2
In base 9, what is -10 - 6?
-16
In base 10, what is -5 - -439?
434
In base 6, what is 22 - 50?
-24
In base 11, what is 2 - 58?
-56
In base 8, what is -36 + -446?
-504
In base 11, what is 29 + 3?
31
In base 10, what is 6040 + 4?
6044
In base 13, what is -3 - -b1a?
b17
In base 14, what is 4 - -1986?
198a
In base 14, what is 43 - -1d5?
238
In base 9, what is 17 + 147?
165
In base 12, what is 1 + 692?
693
In base 3, what is -111 - 1202?
-2020
In base 8, what is 11 + -26?
-15
In base 2, what is -101 - -1101100110?
1101100001
In base 2, what is -1000001111 - 0?
-1000001111
In base 14, what is -19d8 - 5?
-19dd
In base 8, what is 1351 + 1?
1352
In base 14, what is -803 - -2?
-801
In base 14, what is -489b + 4?
-4897
In base 13, what is -3 - 386?
-389
In base 12, what is -4 - -33?
2b
In base 5, what is 1 - 200?
-144
In base 14, what is -77 - 3?
-7a
In base 15, what is 7 + 14?
1b
In base 14, what is -5 + -16?
-1b
In base 12, what is 1a3 + -2?
1a1
In base 3, what is -20201111 + -1?
-20201112
In base 3, what is 10 - 1022020?
-1022010
In base 12, what is 6249 - 4?
6245
In base 8, what is -11 + -12?
-23
In base 13, what is -313 - -2?
-311
In base 8, what is 15 + -16?
-1
In base 8, what is 0 + 0?
0
In base 11, what is 1a + -32?
-13
In base 10, what is -968 - -2?
-966
In base 9, what is 155 - -45?
211
In base 3, what is 112 + -2221?
-2102
In base 7, what is -3 - -5?
2
In base 8, what is 4 + 4177?
4203
In base 5, what is 230 - -101?
331
In base 11, what is -57 - -46?
-11
In base 15, what is -3 - 14a4?
-14a7
In base 7, what is -236 + -3?
-242
In base 6, what is -131 - 5?
-140
In base 9, what is 1186 - 4?
1182
In base 10, what is -342 + -1?
-343
In base 4, what is 2 - 11?
-3
In base 2, what is -1011 + -10100100?
-10101111
In base 11, what is -5 - 158?
-162
In base 5, what is 43404 + 1?
43410
In base 10, what is 13 - -20?
33
In base 14, what is bb + -26?
95
In base 2, what is 1100101000 - 1?
1100100111
In base 6, what is -3 - 240?
-243
In base 8, what is 23237 + 1?
23240
In base 4, what is 20100 - 1?
20033
In base 11, what is 48 - 2?
46
In base 14, what is 0 + 27?
27
In base 6, what is 141 + -3?
134
In base 11, what is -3 + -541?
-544
In base 13, what is -4 - -88?
84
In base 8, what is -1 - -20?
17
In base 4, what is 32 + -11?
21
In base 2, what is 1010110 - -10?
1011000
In base 6, what is -3 + -11?
-14
In base 11, what is -78 + -26?
-a3
In base 14, what is -a - -4?
-6
In base 3, what is 10 + -10002?
-2222
In base 2, what is 1010101 - 101011?
101010
In base 16, what is -1a - -3c8?
3ae
In base 5, what is -34 + -344?
-433
In base 2, what is -11 + -11?
-110
In base 15, what is -5 + -67?
-6c
In base 11, what is -3601 + 3?
-35a9
In base 4, what is -303 + 23?
-220
In base 3, what is 2210 + 12?
2222
In base 5, what is -2430 - 21?
-3001
In base 2, what is -11 - 11100110111?
-11100111010
In base 11, what is -223 + 3?
-220
In base 15, what is 8 + a?
13
In base 8, what is -14 + 5?
-7
In base 5, what is 10 + -131?
-121
In base 3, what is -22 + 222?
200
In base 11, what is -3 + -19?
-21
In base 8, what is 573 + 5?
600
In base 6, what is 3 - -4044?
4051
In base 10, what is 228 - 3?
225
In base 13, what is -2387a + -2?
-2387c
In base 11, what is -16 - -4?
-12
In base 12, what is 3 + -147?
-144
In base 7, what is -2 + 314?
312
In base 16, what is -b2 - 1?
-b3
In base 5, what is 11 + 3?
14
In base 8, what is 7476 - 0?
7476
In base 8, what is 5 - 1?
4
In base 14, what is -55 + -4?
-59
In base 13, what is 3 - 3c32?
-3c2c
In base 12, what is 3 - -48?
4b
In base 9, what is -6 - -6
|
{
"pile_set_name": "DM Mathematics"
}
|
10
Product of 4 and 16.
64
Product of -1086 and -8.
8688
Calculate 12*0.211.
2.532
What is the product of -39.2 and 2?
-78.4
-0.41*105
-43.05
What is -160 times 9?
-1440
Product of 30 and -0.1.
-3
-995 * -4
3980
What is the product of -1287 and -2?
2574
What is 0.2 times 50.6?
10.12
Work out -13 * 0.03.
-0.39
What is the product of -0.5 and -20?
10
-0.03 times 4823
-144.69
Calculate 0.2*1.08.
0.216
1 * -25
-25
What is -1.7 times 0.2?
-0.34
What is the product of 19 and 198?
3762
Product of -4 and -4207.
16828
0.4 times 1
0.4
-40 * -30
1200
Calculate 0.1*90.
9
Calculate -36.8*0.5.
-18.4
-13*-8.4
109.2
Product of -3 and -0.046.
0.138
What is the product of 0.4 and -0.03?
-0.012
Multiply -136 and -18.
2448
What is the product of 1.24 and -0.5?
-0.62
What is the product of -0.039 and -14?
0.546
-81.5 * 5
-407.5
-0.12 times -164
19.68
Multiply -40 and -158.
6320
Calculate -59*-8.
472
What is the product of -1.899 and -0.3?
0.5697
What is the product of -6 and -203?
1218
What is the product of -5 and -1?
5
What is the product of -159 and -0.9?
143.1
What is 0.018 times 3?
0.054
What is 63 times 0.3?
18.9
What is the product of -123 and -10?
1230
0.388*10
3.88
Work out 1.3 * 0.208.
0.2704
Work out 0 * -5.96.
0
What is -0.0633 times 0.1?
-0.00633
Multiply -0.09 and 8.57.
-0.7713
Multiply 1202 and 4.
4808
-30*0.01
-0.3
Product of 4 and 706.
2824
What is -40.6 times -0.5?
20.3
Work out 2 * 0.29.
0.58
4 times -144
-576
Product of 17318 and 0.1.
1731.8
Calculate -669*-0.5.
334.5
Calculate -4*1.98.
-7.92
-0.4*427
-170.8
Multiply -0.5 and 515.
-257.5
Calculate -7*0.3.
-2.1
Calculate -0.039*6.
-0.234
Work out -104 * -5.
520
Product of 163 and 0.3.
48.9
What is the product of -29.1 and -5?
145.5
Product of -16 and -4.
64
6.28 * 1
6.28
Multiply 2 and -52.7.
-105.4
Multiply -2688 and 0.2.
-537.6
Calculate 0.023*0.
0
What is the product of -0.5 and -0.2?
0.1
What is 4 times 0.0822?
0.3288
Product of -0.2 and -0.072.
0.0144
Product of 59 and -0.5.
-29.5
Multiply 5 and 110.
550
0.042*-0.3
-0.0126
Product of -5 and -50.
250
2559 * -2
-5118
Product of -5 and -41.
205
-0.56 times 0.45
-0.252
0.01*121.3
1.213
-110.2*-4
440.8
-0.2*0.44
-0.088
Calculate 79*1.
79
Calculate 337*0.
0
Calculate -5046*0.4.
-2018.4
Calculate 0.26*1.1.
0.286
Work out -1881 * -0.2.
376.2
-0.68 times -12.6
8.568
Calculate 17*955.
16235
-124*4
-496
Calculate -7.07*0.1.
-0.707
4 * -0.599
-2.396
What is -51 times -30?
1530
What is -1.1 times 69?
-75.9
-0.5 times 1450
-725
What is 0.2 times -0.3976?
-0.07952
What is the product of 2.46 and -0.7?
-1.722
-0.4 times -7.9
3.16
-2274 times 0
0
-8447 times -4
33788
3487*0
0
23.8*3
71.4
What is the product of 135 and -0.1?
-13.5
Product of 0.3 and 0.753.
0.2259
1.487*-0.1
-0.1487
What is -0.12 times -363?
43.56
Product of 0.4 and -159.
-63.6
-20.6 times 59
-1215.4
Calculate 1*-0.08.
-0.08
Calculate 25*12.
300
Product of -53 and -0.6.
31.8
Work out -467 * 5.
-2335
What is the product of 0.08 and 2.299?
0.18392
Multiply 0.1 and -15.
-1.5
Calculate -4*-333.
1332
Multiply -446 and 4.
-1784
841*15
12615
What is 0.17 times 30.5?
5.185
Product of 1.8 and 0.12.
0.216
0.05*1761
88.05
Product of -0.34 and -0.134.
0.04556
Product of -0.046 and -0.5.
0.023
Multiply 20.08 and -3.
-60.24
Work out 1 * 0.84.
0.84
What is 0.02 times -173?
-3.46
Multiply 75 and 26.
1950
Work out 1916 * -1.
-1916
Product of 3037 and -0.2.
-607.4
Calculate -1.13*-5.
5.65
Multiply 1.23 and -7.
-8.61
-4*277
-1108
Product of -1 and 1330.
-1330
609*40
24360
Calculate 6.6*-31.
-204.6
Product of 5 and 0.139.
0.695
Multiply 875 and -5.
-4375
Work out -3 * -0.04.
0.12
Product of 398 and 2.
796
What is the product of 0.011 and -4.9?
-0.0539
Calculate -43*-75.
3225
Product of 0.015 and -5.
-0.075
9*7
63
What is the product of 1.1 and 194?
213.4
What is -7 times 2.02?
-14.14
Calculate 0.363*-0.21.
-0.07623
Multiply 34 and 1.6.
54.4
Work out 0.093 * 1.6.
0.1488
0.2109 times -0.6
-0.12654
Product of 1.69 and 0.93.
1.5717
Product of -4 and 0.117.
-0.468
Work out 2 * -0.133.
-0.266
What is 0.3 times 0.432?
0.1296
-4 times 1175
-4700
What is 0.4 times -117?
-46.8
What is -1168 times -0.1?
116.8
-0.1 * 0.526
-0.0526
Work out -0.4 * -0.06.
0.024
Calculate -0.1*-8.
0.8
5 times -53
-265
Product of -103 and 111.
-11433
What is -0.9 times -63?
56.7
0.3 * -0.064
-0.0192
Multiply -0.563 and -6.
3.378
-0.5*1474
-737
What is -7 times 11.9?
-83.3
What is the product of -3 and 2971?
-8913
Calculate -1*-1.14.
1.14
2.973 * 0.4
1.1892
-25.5 * 0.9
-22.95
What is -2.8 times -5?
14
Calculate -0.109*-0.027.
0.002943
Multiply 13 and 0.78.
10.14
Multiply 2 and -0.005.
-0.01
292 times 0.1
29.2
Work out -0.7 * 9.
-6.3
3 * 180
540
What is 0.3 times -0.0177?
-0.00531
What is -1 times -0.03?
0.03
Work out 0 * 11.
0
-136 times 1
-136
-0.342*0.7
-0.2394
Work out 0.63 * 1.3.
0.819
Product of -378 and 0.2.
-75.6
What is -0.176 times 86?
-15.136
Multiply -34 and -6.
204
What is the product of -174 and 0.1?
-17.4
What is 0.2 times 0.727?
0.1454
What is -79 times 0.8?
-63.2
What is 7 times -208.6?
-1460.2
Product of 10.7 and -0.039.
-0.4173
Calculate -2*138.
-276
-144 * -0.1
14.4
Multiply 24467 and -3.
-73401
1146*-0.1
-114.6
Work out -5 * -1.9.
9.5
Calculate 15264*5.
76320
Product of -0.13 and -2.5.
0.325
What is 2.34 times 6?
14.04
Calculate 0.3*-0.3.
-0.09
Multiply -0.058 and 14.8.
-0.8584
0.02 * 5.3
0.106
-1504 times -0.2
300.8
Work out 8.69 * 0.3.
2.607
What is the product of 21 and 1?
21
Product of -0.0613 and -0.5.
0.03065
7 * 515
3605
-5 times 34
-170
Calculate -0.3*-1.9.
0.57
What is the product of -827 and 2?
-1654
Multiply 0.47 and -0.9.
-0.423
Work out -339 * 0.
0
-0.256*0.5
-0.128
Calculate -2092*-0.4.
836.8
Product of 0.3 and -51.28.
-15.384
What is the product of 0.94 and -9?
-8.46
-25.6 * -0.4
10.24
-88.6 times 1
-88.6
What is 0.04 times -0.96?
-0.0384
-0.17 * 0.09
-0.0153
What is -3 times -39.6?
118.8
-249 * -0.3
74.7
What is -0.2 times 44?
-8.8
What is -1 times 1.95?
-1.95
Calculate -0.15*0.03.
-0.0045
-184 * -0.1
18.4
-0.1 * 60
-6
What is 2.6 times 2.6?
6.76
-1.25 times 4
-5
Work out 60 * 5.
300
Product of 0.4 and 922.
368.8
62*15
930
What is 0.16 times -0.7?
-0.112
Multiply 5 and 224.
1120
Calculate -5*53.
-265
Calculate -5.3*-109.
577.7
Work out -10605 * -0.2.
2121
21*-0.06
-1.26
104 * 9
936
What is 23 times 0.17?
3.91
1.1 * 0.5
0.55
-2 * -0.0322
0.0644
What is 692 times 3?
2076
-3.04 times -4
12.16
What is the product of 21 and -5.3?
-111.3
Calculate 31.33*0.3.
9.399
What is the product of 0.02283 and -5?
-0.11415
7*-1.178
-8.246
Calculate 4.3*-39.
-167.7
Calculate -17*9.
-153
Calculate 0.2*-0.94.
-0.188
0.02*-0.123
-0.00246
0.8 times -15
-12
Product of 2 and 33.
66
What is the product of 0.6 and -0.67?
-0.402
Product of 0.8 and 25.
20
What is the product of 41 and 322?
13202
Work out 67 * 6.
402
Work out -33 * 13.
-429
-5.6 times 2
-11.2
Product of -0.01 and -79.
0.79
Multiply 1005 and -0.4.
-402
-0.04 times -148
5.92
-0.2 times -1649
329.8
What is 11 times 25?
275
Work out 1 * 5427.
5427
Work out 3 * 873.
2619
-58*0.12
-6.96
Multiply 581 and -0.8.
-464.8
Product of 4 and -1.98.
-7.92
Work out -0.8 * 43.
-34.4
What is the product of 151 and -5?
-755
31 * 0.6
18.6
-2 times 1062
-2124
0.6672*4
2.6688
0.3*5.88
1.764
-0.3 * -56
16.8
Work out 1.7 * 140.
238
4 * -10
-40
Calculate -2*2.843.
-5.686
-1649 * -2
3298
What is the product of 0.27 and 0.042?
0.01134
Multiply -4.39 and 3.
-13.17
What is 0.04 times 14?
0.56
Calculate 74*-5.
-370
-7 * 52
-364
0.5 * 46
23
157 times -9
-1413
Product of 4.75 and -0.2.
-0.95
Multiply 3699 and 0.2.
739.8
0.3 * 0.032
0.0096
-0.7 * 0.034
-0.0238
-81 * 0.14
-11.34
Multiply 0.1 and -0.0205.
-0.00205
Multiply -3 and 1.14.
-3.42
What is the product of -12.3 and -0.5?
6.15
Multiply -1 and -14.4.
14.4
What is -21.2 times -0.1?
2.12
Multiply 3 and 7.707.
23.121
-0.4 * 436
-174.4
Multiply 12 and 214.
2568
Calculate 0.09*0.0678.
0.006102
-20.24*0.3
-6.072
-127 times -33
4191
-5 times -0.47
2.35
0.1*17.9
1.79
Work out -0.2 * 8.2.
-1.64
2.05 * -5
-10.25
Calculate -0.4*28.46.
-11.384
Multiply -3 and -0.0001.
0.0003
-30*5.4
-162
Work out 0.897 * 2.
1.794
Calculate 0.794*0.15.
0.1191
Calculate -6084*0.2.
-1216.8
-1 times 19
-19
Product of -288 and 0.9.
-259.2
Work out -4 * -1.6.
6.4
Multiply 2709 and
|
{
"pile_set_name": "DM Mathematics"
}
|
*h. Find r, given that p(r) = 0.
-1, 1, 211
Let m(q) = 35 - 3*q + 6*q - 48. Let y be m(6). Factor 12*c**y + 38*c**5 + 60*c**2 - 64*c**4 + 204*c**4 - 4*c**2 + 138*c**3 + 8*c.
2*c*(c + 1)**2*(5*c + 2)**2
Suppose -8*s = -36*s + 112. Let h(p) be the third derivative of 1/120*p**5 + 0 + 0*p + 4*p**2 - 1/3*p**3 + 1/16*p**s. Solve h(y) = 0 for y.
-4, 1
Factor 2/5*s**2 - 47/5*s - 44.
(s + 4)*(2*s - 55)/5
Suppose -68 = -s - s - 5*q, 4*s + q - 118 = 0. Factor 47*j + 24*j**2 + 86*j + 26*j**2 - s*j - 52*j**2 - 1352.
-2*(j - 26)**2
Let s(m) be the second derivative of 91/2*m**4 - 1352/3*m**3 + 0 + 1/30*m**6 - 43*m - 2*m**5 + 2197/2*m**2. Find n such that s(n) = 0.
1, 13
Suppose -3*i = i - 12. Let u(k) = -k**3 + 15*k**2 - 6*k + 93. Let f be u(15). Let 4 - 2 - 34*j**3 - f*j + 35*j**i + 0*j = 0. Calculate j.
-2, 1
Let i(f) be the first derivative of 0*f + 40/3*f**3 + 26 - f**5 + 5/4*f**4 - 30*f**2. Determine t, given that i(t) = 0.
-3, 0, 2
Let r(h) = 10*h**2 - 1778*h - 3. Let y(w) = -52*w**2 + 8888*w + 16. Let d(t) = 16*r(t) + 3*y(t). Find p, given that d(p) = 0.
0, 446
Let d(j) be the first derivative of 2*j**3/21 - 12*j**2/7 - 26*j/7 + 996. Let d(g) = 0. What is g?
-1, 13
Suppose 8*i + 5*p = 3*i, 10 = 2*i - 3*p. Let g(a) be the first derivative of 4/3*a + 21 - 5/9*a**6 - 11/3*a**4 - 12/5*a**5 + a**i - 16/9*a**3. Factor g(l).
-2*(l + 1)**4*(5*l - 2)/3
Let t(v) be the first derivative of v**6/150 + 4*v**5/75 + v**4/30 - 4*v**3/5 + 45*v**2/2 + 31. Let i(u) be the second derivative of t(u). Factor i(j).
4*(j - 1)*(j + 2)*(j + 3)/5
Let n(d) = d**3 + 11*d**2 + 26*d - 20. Let v be n(-6). Let r(w) be the second derivative of 0 - 5/12*w**v + 0*w**3 + 10*w**2 - w. Find b such that r(b) = 0.
-2, 2
Let b(s) = s**3 - s + 1. Let f(j) be the third derivative of j**6/60 - 3*j**5/10 - 5*j**4/6 + 5*j**3/6 + 2*j**2 + 39*j. Let n(a) = -5*b(a) + f(a). Factor n(i).
-3*i*(i + 1)*(i + 5)
Let c(v) be the second derivative of 2*v**7/21 - 23*v**5/5 + 22*v**4 - 136*v**3/3 + 48*v**2 - 821*v. Suppose c(g) = 0. Calculate g.
-6, 1, 2
Let n(u) be the first derivative of 1/2*u**2 - 4*u + 3/2*u**3 - 1/10*u**5 + 54 - 1/4*u**4. Let n(r) = 0. What is r?
-4, -1, 1, 2
What is j in -16/5*j**3 + 0 - 10*j**2 - 34/5*j = 0?
-17/8, -1, 0
Let m = -4259 + 4270. Let t(n) be the first derivative of -2/39*n**3 - m - 1/13*n**2 + 0*n. Suppose t(z) = 0. Calculate z.
-1, 0
Let k(p) be the first derivative of 44*p**3/3 + 122*p**2 + 120*p + 9302. Suppose k(t) = 0. Calculate t.
-5, -6/11
Let i be 2/42 + 10/35. Suppose -4 = 2*m - 3*s, 0 = -4*m + 3*s + 4 - 6. Find n, given that -m + 2/3*n + i*n**2 = 0.
-3, 1
Let 21/2*p + 5/2*p**5 + 0 + 24*p**4 + 51*p**3 + 40*p**2 = 0. Calculate p.
-7, -1, -3/5, 0
Suppose 2*w - 264 = 5*w. Let d = 93 + w. Factor 40*b**3 + 5*b**5 - 3*b**5 + 3*b**d - 20*b**2 + 3*b**4 - 28*b**4.
5*b**2*(b - 2)**2*(b - 1)
Let l(m) be the second derivative of -m**6/90 + 11*m**5/60 - 5*m**4/18 - 4*m**3 + 1396*m + 2. What is c in l(c) = 0?
-2, 0, 4, 9
Let t(j) be the second derivative of 7/27*j**4 - 1/9*j**5 + 0*j**2 + 2/135*j**6 + 4*j + 0 - 2/9*j**3. Let t(f) = 0. What is f?
0, 1, 3
Let l = 58806 - 176416/3. Find k such that l*k**2 - 2/3 - 1/3*k**3 + 1/3*k = 0.
-1, 1, 2
Let 80 - 588778*j**2 + 643067*j**2 + 1 + 1171*j - 5365*j = 0. What is j?
9/233
Let a(x) = 7*x**3 - 2*x**2 - x. Suppose 39*i + 19 = -20. Let h(c) = -3*c**3 + c**2. Let u(l) = i*a(l) - 2*h(l). Suppose u(j) = 0. Calculate j.
-1, 0, 1
Let z(n) be the third derivative of -2*n**7/105 - 89*n**6/15 - 10021*n**5/15 - 31150*n**4 - 735000*n**3 + 2*n**2 - 18. Factor z(g).
-4*(g + 14)**2*(g + 75)**2
Suppose f = 3*f - 8. Find t such that 62*t - 27*t + f*t**2 + 484 + 53*t = 0.
-11
Let j = 6623 + -6620. Let x(z) be the first derivative of 1/5*z**4 - 19 + 11/10*z**2 - 13/15*z**j - 2/5*z. Suppose x(g) = 0. What is g?
1/4, 1, 2
Let w(l) be the third derivative of -l**5/20 - 1155*l**4/4 - 2309*l**3/2 + 11841*l**2. Suppose w(r) = 0. Calculate r.
-2309, -1
Let c(m) be the second derivative of 9/10*m**2 + 7/10*m**3 - 156*m + 0 + 3/100*m**5 + 1/4*m**4. What is f in c(f) = 0?
-3, -1
Let d be 5 + (55/(-15) - 6/(-9))/1. Let p(o) be the first derivative of 5 + 0*o**d + 1/6*o**6 + 0*o + 1/8*o**4 - 3/10*o**5 + 0*o**3. Factor p(g).
g**3*(g - 1)*(2*g - 1)/2
Let i(s) = s**2 + 5*s - 25. Let g(h) = -2*h**2 - 8*h + 40. Let q = 341 - 336. Let t(n) = q*g(n) + 8*i(n). Let t(x) = 0. Calculate x.
0
Let x(f) = 8*f**3 - 123*f**2 + 393*f - 263. Let i(q) = 9*q**3 - 120*q**2 + 393*q - 264. Let r(t) = 5*i(t) - 6*x(t). Factor r(h).
-3*(h - 43)*(h - 2)*(h - 1)
Factor 0 - 2/7*s**2 + 782/7*s.
-2*s*(s - 391)/7
Determine a so that 262*a - 255 - 784 - 108*a**2 - 221 + 106*a**2 = 0.
5, 126
Let t(v) = -2*v**2 + 62*v + 58. Let d(y) = y - 35. Let h(k) = 4*d(k) - 2*t(k). Solve h(s) = 0 for s.
-2, 32
Let x(q) be the third derivative of -7*q**2 - 11*q**6 + 242/105*q**7 - 20*q**4 + 0 - 2*q + 313/15*q**5 + 32/3*q**3. Factor x(y).
4*(y - 1)**2*(11*y - 4)**2
Suppose 4*m + 184 = -4*t, -7*m = -5*t - 9*m - 236. Let n be 3 - (10 - 5 - t/(-21)). Suppose n*o**2 - 2/7*o + 0 = 0. Calculate o.
0, 1
Let a(l) = 105*l**2 - 520*l - 625. Let k(v) = 8*v**2 - 40*v - 48. Let p be (-1044)/(-26) - 16/(-104)*-1. Let m(y) = p*k(y) - 3*a(y). Solve m(i) = 0 for i.
-1, 9
Let w(h) = -2*h**3 - 47*h**2 - 116*h - 3. Let i(f) = f**3 + f**2 + 3*f - 1. Suppose 2*g - 1462 = -1464. Let y(l) = g*w(l) + 3*i(l). Factor y(x).
5*x*(x + 5)**2
Solve 1863/2 - 1/2*t**2 + 309*t = 0.
-3, 621
Let -9213/7 + 9216/7*p - 3/7*p**2 = 0. What is p?
1, 3071
Suppose 2 - 26 = -6*m. Let r = 25 + -14. Let -24*g**4 + 100*g - 10*g**3 + 105*g**2 + m - r*g**4 + 16 = 0. Calculate g.
-1, -2/7, 2
Let c be (-26)/(-65) - -4*1 - (-216)/(-540). Suppose -5*u + 11 = -4. Factor u*d**2 - 1/2*d**c - 5/2*d**3 + 0 + 0*d.
-d**2*(d - 1)*(d + 6)/2
Suppose 10*k - 1064 = 29*k. Let s be (k/16)/(-7) + (-3)/(-2). Factor -1/3*q**4 - 1 + 10/3*q + s*q**3 - 4*q**2.
-(q - 3)*(q - 1)**3/3
Let 25464*h**3 - h**4 - 50921*h**3 + 9*h**2 - 8 + 25459*h**3 - 2*h = 0. What is h?
-2, -1, 1, 4
Let u(x) = 220*x - 34. Let i be u(17). Let t be i/8 + (-36)/(-48). Let -463*w**2 + 0*w + t*w**2 + 2*w = 0. What is w?
-2, 0
Let b(i) be the third derivative of i**11/299376 + i**10/680400 - 143*i**5/60 + 133*i**2. Let d(u) be the third derivative of b(u). Solve d(k) = 0.
-1/5, 0
Suppose -38 - 16 + 18*q - 15*q**2 + 8*q**2 + 33*q = 0. What is q?
9/7, 6
Factor -4*z**4 + 158*z + 195*z - 373*z + 20*z**3 + 4*z**2.
-4*z*(z - 5)*(z - 1)*(z + 1)
Let z(r) be the second derivative of 5*r**7/42 - 2*r**6/3 - 16*r**5 + 380*r**4/3 + 200*r**3 - 2880*r**2 - 1637*r. Determine w, given that z(w) = 0.
-8, -2, 2, 6
Suppose -39*z = -36*z - 3, -l + 5 = 2*z. Solve 2*w**4 + 0*w**4 + 8*w**3 - 9*w**3 + 13*w**l + 21*w**2 + w**2 + 12*w = 0.
-3, -2, -1, 0
Let i(y) = -34*y**3 + y + 3. Let p be i(-1). Let q be p/(-12)*(-2)/8. Factor -1/4*m**3 + 0 - 1/2*m**2 + q*m.
-m*(m - 1)*(m + 3)/4
Let m(j) be the second derivative of -13/12*j**4 + 0 + 1/20*j**5 + 8/3*j**3 + 96*j**2 + 74*j. Suppose m(i) = 0. What is i?
-3, 8
Let k(n) = -156*n - 622. Let m be k(-4). Determine c so that 2/11*c**2 - m*c - 24/11 = 0.
-1, 12
Let g = 41518 + -1328575/32. Let o(a) be the second derivative of -147/4*a**2 - g*a**4 + 0 + 7/4*a**3 + 47*a. Suppose o(u) = 0. What is u?
14
Let p(x) = 1744*x + 228466. Let a be p(-131). Factor 2/9*v**a - 4/9*v + 0.
2*v*(v - 2)/9
Let w(a) be the third derivative of -8/3*a**3 - 65*a**2 + 0 + 0*a - 5/3*a**4 - 1/12*a**6 - 11/20*a**5 - 1/210*a**7. Factor w(b).
-(b + 1)**2*(b + 4)**2
Let l = 350056 + -1050164/3. Factor -2/3 + 1/6*g**3 + l*g - 5/6*g**2.
(g - 2)**2*(g - 1)/6
Let 0 + d**3 - 4/3*d**2 - 1/3*d**5 + 2/3*d**4 - 4/3*d = 0. What is d?
-1, 0, 2
Let c(x) be the second derivative of x**5/190 + 11*x**4/57 - 100*x**3/57 + 104*x**2/19 - 720*x - 1. Factor c(f).
2*(f - 2)**2*(f + 26)/19
Let d(o) be the second derivative of o**4/66 - 83*o**3/33 + 82*o**2/11 + 449*o - 2. What is p in d(p) = 0?
1, 82
Let u(m) = -m**4 - 18*m**3 - 108*m**2 + 442*m - 442. Let x(p) = p**4 + 2*p**3 - 2*p + 2. Let b(r) = -u(r) - 5*x(r). What is y in b(y) = 0?
-6, 2, 3
Let a(r) = -8*r + 32. Suppose 3*k = -2*m + 17, -5*m + 32 = 6*k - 2*k. Let o be a(m). Factor 0 - 1/7*s**2 + 0*s**3 + o*s + 1/7*s**4.
s**2*(s - 1)*(s + 1)/7
Suppose 378*h = 363*h - 4440. Let b = -294 - h.
|
{
"pile_set_name": "DM Mathematics"
}
|
281, 2803
What are the prime factors of 74282330?
2, 5, 71, 104623
What are the prime factors of 633791358?
2, 3, 23, 510299
What are the prime factors of 128928374?
2, 17, 29, 229, 571
What are the prime factors of 46381806?
2, 3, 2576767
List the prime factors of 1507661210.
2, 5, 11, 19, 65579
List the prime factors of 187598631.
3, 11, 1987, 2861
List the prime factors of 6624341.
599, 11059
What are the prime factors of 323337893?
6133, 52721
What are the prime factors of 43914965?
5, 139, 179, 353
List the prime factors of 38853137.
31, 1253327
What are the prime factors of 6291404421?
3, 17, 123360871
What are the prime factors of 55904510?
2, 5, 101, 55351
What are the prime factors of 546405571?
227, 2407073
What are the prime factors of 256994862?
2, 3, 563, 76079
What are the prime factors of 1079569967?
7, 7687, 20063
What are the prime factors of 799309522?
2, 11, 36332251
List the prime factors of 4656308858.
2, 3313, 702733
List the prime factors of 636940346.
2, 7, 241, 188779
What are the prime factors of 1802905061?
193, 2791, 3347
What are the prime factors of 1019379526?
2, 11, 19, 37, 3469
What are the prime factors of 141236517?
3, 47078839
What are the prime factors of 108535620?
2, 3, 5, 23, 78649
List the prime factors of 80278286.
2, 11, 233, 15661
List the prime factors of 776235163.
11, 311, 226903
List the prime factors of 1191764765.
5, 11393, 20921
List the prime factors of 112326198.
2, 3, 18721033
What are the prime factors of 193462091?
17, 669419
List the prime factors of 2473532782.
2, 7, 176680913
What are the prime factors of 51830419?
31, 61, 27409
What are the prime factors of 61299808?
2, 1915619
List the prime factors of 33778792.
2, 2029, 2081
What are the prime factors of 1079103480?
2, 3, 5, 7, 13, 19, 743
What are the prime factors of 30591551?
17, 1799503
List the prime factors of 825538822.
2, 7079, 58309
What are the prime factors of 680596800?
2, 3, 5, 13, 839
List the prime factors of 228005849.
3863, 59023
What are the prime factors of 2351916567?
3, 7, 11, 13, 293
List the prime factors of 5862438117.
3, 17, 31, 72707
List the prime factors of 6349134.
2, 3, 11, 96199
List the prime factors of 366043834.
2, 13, 3673, 3833
What are the prime factors of 20029823?
11, 487, 3739
What are the prime factors of 58200584?
2, 13, 653, 857
What are the prime factors of 47585636?
2, 7, 29, 58603
List the prime factors of 47679631.
47679631
List the prime factors of 157879595.
5, 17, 1857407
What are the prime factors of 5638355651?
103, 54741317
List the prime factors of 182194183.
59, 653, 4729
What are the prime factors of 253535512?
2, 941, 33679
What are the prime factors of 560730760?
2, 5, 41, 181, 1889
List the prime factors of 6375799.
17, 113, 3319
List the prime factors of 116338560.
2, 3, 5, 13, 59, 79
What are the prime factors of 871785506?
2, 435892753
List the prime factors of 64091747.
64091747
What are the prime factors of 6211563?
3, 31, 66791
List the prime factors of 619940901.
3, 10337, 19991
List the prime factors of 5058307175.
5, 10723, 18869
What are the prime factors of 307890483?
3, 353, 290737
List the prime factors of 392839518.
2, 3, 65473253
List the prime factors of 71100604.
2, 17775151
What are the prime factors of 845564?
2, 137, 1543
What are the prime factors of 51476594?
2, 13, 971, 2039
List the prime factors of 1130027461.
17837, 63353
What are the prime factors of 162036511?
7, 13, 751, 2371
What are the prime factors of 33669414?
2, 3, 139, 13457
List the prime factors of 3816796590.
2, 3, 5, 53, 163, 4909
What are the prime factors of 876589942?
2, 438294971
What are the prime factors of 3148117?
7, 167, 2693
What are the prime factors of 1726202038?
2, 11, 751, 104479
List the prime factors of 44883217.
1459, 30763
List the prime factors of 57691819.
1093, 52783
List the prime factors of 198174190.
2, 5, 19817419
List the prime factors of 1122771578.
2, 31, 311, 58229
List the prime factors of 943704419.
7, 9127, 14771
List the prime factors of 84140424.
2, 3, 389539
What are the prime factors of 29296874?
2, 1487, 9851
What are the prime factors of 2501427363?
3, 833809121
What are the prime factors of 381459660?
2, 3, 5, 6357661
What are the prime factors of 1132741572?
2, 3, 94395131
What are the prime factors of 172157343?
3, 1103, 52027
List the prime factors of 226266151.
5641, 40111
List the prime factors of 1695308465.
5, 339061693
List the prime factors of 33996626.
2, 41, 59, 7027
List the prime factors of 1854267954.
2, 3, 7, 11, 4013567
What are the prime factors of 504254540?
2, 5, 47, 536441
List the prime factors of 26863722.
2, 3, 701, 2129
What are the prime factors of 142086977?
1669, 85133
What are the prime factors of 189629352?
2, 3, 11, 239431
What are the prime factors of 5385188565?
3, 5, 4673, 25609
What are the prime factors of 14052057?
3, 23, 203653
List the prime factors of 2722924777.
18401, 147977
What are the prime factors of 366932910?
2, 3, 5, 353, 34649
What are the prime factors of 302522042?
2, 443, 341447
List the prime factors of 1823440045.
5, 7, 1613, 32299
List the prime factors of 538126059.
3, 29, 6185357
List the prime factors of 4231427710.
2, 5, 423142771
What are the prime factors of 698097727?
3851, 181277
What are the prime factors of 45710485?
5, 19, 131, 3673
What are the prime factors of 12095896?
2, 263, 5749
What are the prime factors of 460945885?
5, 167, 552031
What are the prime factors of 332065408?
2, 89, 103, 283
What are the prime factors of 1336992940?
2, 5, 66849647
List the prime factors of 647553747.
3, 269, 802421
What are the prime factors of 495616840?
2, 5, 31, 399691
List the prime factors of 111421328.
2, 1213, 5741
List the prime factors of 55961517.
3, 19, 397, 2473
What are the prime factors of 67872031?
67872031
List the prime factors of 1995118.
2, 263, 3793
What are the prime factors of 2397069791?
29, 113, 731483
What are the prime factors of 585521728?
2, 11, 831707
What are the prime factors of 39937579?
11, 31, 117119
List the prime factors of 368672938.
2, 2243, 82183
List the prime factors of 56261144.
2, 311, 22613
What are the prime factors of 2408762753?
19, 6672473
What are the prime factors of 175594787?
175594787
List the prime factors of 1093393.
7, 19, 8221
What are the prime factors of 647682889?
7, 47, 1968641
List the prime factors of 150747725.
5, 911, 6619
List the prime factors of 947843596.
2, 7, 33851557
What are the prime factors of 69580365?
3, 5, 4638691
List the prime factors of 19300693.
31, 622603
List the prime factors of 3043968896.
2, 23781007
List the prime factors of 8493506841.
3, 2831168947
What are the prime factors of 33890542?
2, 7, 73, 33161
List the prime factors of 506110694.
2, 461, 548927
List the prime factors of 81913088.
2, 319973
List the prime factors of 31890703.
13, 503, 4877
List the prime factors of 5553045489.
3, 103, 17971021
List the prime factors of 21300290.
2, 5, 11, 83, 2333
List the prime factors of 60182221.
11, 29, 83, 2273
List the prime factors of 1322172859.
7, 188881837
What are the prime factors of 25934491?
11, 73, 32297
What are the prime factors of 163187056?
2, 157, 167, 389
What are the prime factors of 723857581?
21589, 33529
List the prime factors of 258394790.
2, 5, 25839479
What are the prime factors of 38341481?
97, 395273
List the prime factors of 19201753.
19201753
What are the prime factors of 1602020156?
2, 11, 59, 56101
List the prime factors of 498799326.
2, 3, 613, 135617
List the prime factors of 1901929622.
2, 950964811
What are the prime factors of 17270439?
3, 947, 6079
What are the prime factors of 260899729?
260899729
What are the prime factors of 862808942?
2, 53, 8139707
What are the prime factors of 493866749?
493866749
List the prime factors of 703899604.
2, 175974901
List the prime factors of 10743402.
2, 3, 389, 4603
List the prime factors of 657357668.
2, 11, 19, 71483
List the prime factors of 29704783.
2543, 11681
List the prime factors of 24683397.
3, 8227799
What are the prime factors of 80738764?
2, 20184691
List the prime factors of 40360290.
2, 3, 5, 1345343
List the prime factors of 56954836.
2, 14238709
What are the prime factors of 280638091?
17, 769, 21467
List the prime
|
{
"pile_set_name": "DM Mathematics"
}
|
g w is positive.
w**(-1811/315)
Simplify (((x/x**(-21/5)*x*x)/x)/x)/(x**(-14)/x) assuming x is positive.
x**(101/5)
Simplify ((f**(2/15)/f)/f**(-1))**(-18/11) assuming f is positive.
f**(-12/55)
Simplify n/n**(-1)*n/(n**3/n)*(n**1/n)**(-13) assuming n is positive.
n
Simplify (y*y/(y/(y**(-3)/y))*y*y*y*y*y**(1/4)*y)/(y**(-2/9)*y**(2/7)*y) assuming y is positive.
y**(299/252)
Simplify (p*p**(1/35)/p)/p**16 assuming p is positive.
p**(-559/35)
Simplify ((b/b**(-2))/(b/(b**(-2)*b)))**(-12) assuming b is positive.
b**(-12)
Simplify (a*a/(a**(1/3)/a))**17 assuming a is positive.
a**(136/3)
Simplify ((a*(a/(a/(a/a**(-26))))/a*a)/a)/(a*a**(-2/17)) assuming a is positive.
a**(444/17)
Simplify (s**(3/2)*s**(-2/3))**(-29) assuming s is positive.
s**(-145/6)
Simplify b**(-4)/((b*b*b/(b/b**2*b))/b)*(b**1)**(-31) assuming b is positive.
b**(-37)
Simplify (r*r**(2/9))**(-23)*(r**(3/2)/r)/r*r**(-1/17) assuming r is positive.
r**(-8773/306)
Simplify (f**(3/8)/(f/(f*f**(-1))))**(-13/4) assuming f is positive.
f**(65/32)
Simplify (l**6/l)**(2/5) assuming l is positive.
l**2
Simplify (b**(-5/4)/(((b**(-2)/b)/b)/b*b))/(b/b**7*b**(-1)) assuming b is positive.
b**(39/4)
Simplify (n**(1/2))**(-43)/((n*(n**(-9)*n)/n)/(n**3*n)) assuming n is positive.
n**(-19/2)
Simplify (o**7*o*o)**(-40/7) assuming o is positive.
o**(-360/7)
Simplify (b**2*b)**(-1/3)/((b/(b/b**(-2/3)))/b**(5/4)) assuming b is positive.
b**(11/12)
Simplify v**(1/6)/v**16 assuming v is positive.
v**(-95/6)
Simplify (b**(22/9))**22 assuming b is positive.
b**(484/9)
Simplify (b/((((b*b**7)/b)/b)/b)*b**(-2/3))/((b/b**2*b)/(b/b**(-1/6))) assuming b is positive.
b**(-7/2)
Simplify (d**(-3/8)*d**(6/7))**(-17) assuming d is positive.
d**(-459/56)
Simplify (k/(k/(((k/(k/k**3)*k)/k)/k)))**49 assuming k is positive.
k**98
Simplify (v**(-1/7)/(v**(5/6)*v))/((v*(v/v**(2/9)*v*v*v)/v*v)/(v**(-2/5)/v)) assuming v is positive.
v**(-5137/630)
Simplify (l/l**0)/l*l**(1/6)*l*(l*(l/(l/((l/((l**0*l)/l)*l)/l)))/l)**(-7/4) assuming l is positive.
l**(-7/12)
Simplify (q**(2/11))**(-18/11)*(q*q*q**(1/3))/(q/q**2) assuming q is positive.
q**(1102/363)
Simplify (s*s**3*s/s**4)/(s**(2/3)*s**5) assuming s is positive.
s**(-14/3)
Simplify r**(-2/5)*r**(2/5)/r*(r*r**(-1))**15 assuming r is positive.
1/r
Simplify ((r**3)**(16/9))**23 assuming r is positive.
r**(368/3)
Simplify (c/c**(1/4))/c**(-3) assuming c is positive.
c**(15/4)
Simplify ((v/v**(-17/5))/v)**18 assuming v is positive.
v**(306/5)
Simplify (a/(a/(a/(a**(-2/35)*a)))*a*a*a*a)/(a**(-11)*a) assuming a is positive.
a**(492/35)
Simplify (s**(-1/9)*s**(3/11)*s)/(s**(-11)/(s/((s*s**(-3))/s)*s)) assuming s is positive.
s**(1699/99)
Simplify ((f**(-11)*f)/f)/(f*(f*f*f/f**(-7/4))/f) assuming f is positive.
f**(-63/4)
Simplify (r/(r/(r/(r/r**(-6))))*r**3/r*r)**(-26) assuming r is positive.
r**78
Simplify (((t*(t*t**(-1)*t)/t)/t)**(-34))**(-47) assuming t is positive.
1
Simplify (y**6*y*y)/y*y**(-4)*y**(1/3)/(y/(y*y**2*y)) assuming y is positive.
y**(19/3)
Simplify n/(n**(2/45)/n)*n**(6/7)/n assuming n is positive.
n**(571/315)
Simplify (y*y/y**(2/17)*y)/(y/(y**(-2/29)/y)*y) assuming y is positive.
y**(-92/493)
Simplify (o**(-3)*o**(3/8))**(1/8) assuming o is positive.
o**(-21/64)
Simplify l**(2/15)/(l*l*l**(-22)) assuming l is positive.
l**(302/15)
Simplify u**(-3/2)*u**(-1/5)*u**3/(u/(u*u*u**(-5))) assuming u is positive.
u**(-27/10)
Simplify (g**(-4)/(g**6/g))/(((g*g/(g*g/(g**(-8)/g))*g)/g*g)/g**(-5)) assuming g is positive.
g**(-6)
Simplify ((l*l**1*l*l*l)/(l/((l**(-3)*l)/l)))/(l**(-7)/l*l*l**(-1/2)) assuming l is positive.
l**(17/2)
Simplify d*d**(2/17)*d*d**(-4/9) assuming d is positive.
d**(256/153)
Simplify (s**2)**(14/3) assuming s is positive.
s**(28/3)
Simplify ((c**(-19)*c)/c)/c*c*c*c/(c/(c/((c/(c*c*c*((c**(3/4)/c)/c)/c*c)*c)/c))*c)*c assuming c is positive.
c**(-65/4)
Simplify z**(1/3)/z**3*(z/(z**(-1/2)/z))**(-23) assuming z is positive.
z**(-361/6)
Simplify ((f/f**(-9))/((f*f*f/(f*f*f**(-1))*f)/f))/(f**(-4/7)*f**(-2/23)) assuming f is positive.
f**(1394/161)
Simplify (h*h**4)/((h/((h*h**(-12))/h))/h) assuming h is positive.
h**(-7)
Simplify (d**(-2/3)*d**(1/13))**(1/44) assuming d is positive.
d**(-23/1716)
Simplify (k**(1/5)/k)/(k/k**0*k)*(k/k**(-4)*k)/(k/(k**(-2/17)*k)) assuming k is positive.
k**(262/85)
Simplify (((v**(4/7)*v*v)/v)/v*(v/(v**10/v))/v*v)**19 assuming v is positive.
v**(-988/7)
Simplify (l/((l*l**(-4/3))/l)*l*l**(-7))**33 assuming l is positive.
l**(-121)
Simplify (u*(u/u**(-2/5)*u)/u)**(-6/29) assuming u is positive.
u**(-72/145)
Simplify (u/(u/((u/u**(-14))/u*u*u)*u*u))**(2/49) assuming u is positive.
u**(4/7)
Simplify j**(-20/3)/j*j*j*j**2/j assuming j is positive.
j**(-14/3)
Simplify k**(1/4)/k**(-1/3)*k*k/k**(-1/6)*k/(k**(2/11)*k) assuming k is positive.
k**(113/44)
Simplify ((w/(w/(w**(-1)*w)))/w*w)**(10/3)*(w*w**(1/2)*w)**(-1/4) assuming w is positive.
w**(-5/8)
Simplify l/(l/l**(-7))*l**(7/4)*l assuming l is positive.
l**(-17/4)
Simplify (g*((g**(3/5)/g*g)/g)/g)/(g*g*g*g*g*(g**(-45)*g)/g*g) assuming g is positive.
g**(193/5)
Simplify (k**1)**21/((k/k**(2/15))/(k**6/k)) assuming k is positive.
k**(377/15)
Simplify t**(2/9)*t**(-1/4) assuming t is positive.
t**(-1/36)
Simplify b**(2/15)*b**1*b*b assuming b is positive.
b**(47/15)
Simplify (j*j**(-1/6)/j*j*j*j)**(-6) assuming j is positive.
j**(-17)
Simplify (a**2)**(-32/7)/(a**1)**(-2/37) assuming a is positive.
a**(-2354/259)
Simplify u*((u**7*u)/u)/u*u**(2/21)*(u**1/u)**(3/19) assuming u is positive.
u**(149/21)
Simplify (p**(1/19)*p*p**4*p)**(2/25) assuming p is positive.
p**(46/95)
Simplify ((x/(x*x*x**(-1)/x))/x)**(1/16)*x*x**(-4)*x*x*x*x*x**6*x assuming x is positive.
x**8
Simplify ((o/(o*o*(o/((o**(1/19)/o)/o))/o*o))/o)/(o*o**(1/11)) assuming o is positive.
o**(-1262/209)
Simplify (g**0/g)**(-36)*(g**(-1))**(-1) assuming g is positive.
g**37
Simplify (j**(-9))**45 assuming j is positive.
j**(-405)
Simplify j**(9/4)*j*j**(-5) assuming j is positive.
j**(-7/4)
Simplify (q**(4/9)*q**(3/4))**(17/3) assuming q is positive.
q**(731/108)
Simplify b**(-1/6)/(b*(b**(6/5)/b*b)/b)*b**(1/2)/b**9 assuming b is positive.
b**(-148/15)
Simplify (((b**6/b*b)/b)/b**(-5))/((b**(-10)/b)/(b/(b/(b/(b/(b/b**(1/10)))))*b)) assuming b is positive.
b**(229/10)
Simplify (o/o**(-11/5))**(-20/11) assuming o is positive.
o**(-64/11)
Simplify ((r/r**(1/5))**(-8/7))**(-47) assuming r is positive.
r**(1504/35)
Simplify (d*d**(-6)/d)**(-1) assuming d is positive.
d**6
Simplify (g/(g/(g*g*g*g*g*(g/g**(-1/3))/g*g*g*g)))/((g**(-15)*g)/g) assuming g is positive.
g**(70/3)
Simplify a**(-1/17)*a/a**22 assuming a is positive.
a**(-358/17)
Simplify (a/(a/(a/(a/a**(-2/7)))*a))**41*a*a/a**(-5)*a**(-5/6) assuming a is positive.
a**(-1955/42)
Simplify (l**(1/5)*l*l)/(l**(-4)/l)*(l*l**(-4))/l**3 assuming l is positive.
l**(6/5)
Simplify ((c**1/c*c)**(1/9))**(-24) assuming c is positive.
c**(-8/3)
Simplify (h*h**(3/29))/h*h*h*h/h**(7/2) assuming h is positive.
h**(-23/58)
Simplify ((l**4/l*l)/(l**(4/5)*l))**(10/11) assuming l is positive.
l**2
Simplify (f**(1/3)/f)**(-2/41)/(f**(1/5)*f*f**4) assuming f is positive.
f**(-3178/615)
Simplify (p/(p/((p/(p**(-1/2)/p))/p)*p))**(-1/98)/((p/(p/(p/((p/(p/(p**(-4/7)*p)*p)*p)/p)))*p)/p**(-2/5)) assuming p is positive.
p**(-2917/980)
Simplify (s*s/(s/(s/(s/(s**(-14)/s*s)*s*s*s*s)))*s**(6/11)/s*s*s)**20 assuming s is positive.
s**(-3400/11)
Simplify (b**(-7))**(-17/4) assuming b is positive.
b**(119/4)
Simplify ((x/(x**(3/10)/x))/x*x**(-2/3))/((x**(2/17)/x*x)/(x*x/x**(1/6)*x)) assuming x is positive.
x**(701/255)
Simplify ((d**(-2/7))**30)**(-10) assuming d is positive.
d**(600/7)
Simplify ((i**(-9)/i)**(25/3))**(-1) assuming i is positive.
i**(250/3)
Simplify (h**(-2/5))**19*(h/((h/(h*(h/(h/(h*h**(-1)*h)))/h)*h*h)/h))**(-12/19) assuming h is positive.
h**(-38/5)
Simplify (b**(-5/6))**(-10) assuming b is positive.
b**(25/3)
Simplify (t**(-2/7)/t)**48 assuming t is positive.
t**(-432/7)
Simplify (x/x**(1/4))**45/(x/(x*((x**2/x)/x*x)/x)*x*x*x**(2/5)*x) assuming x is positive.
x**(607/20)
Simplify c*c**3/c*c/c**2*c**2/(c**(-1)/c) assuming c is positive.
c**6
Simplify (s*s**(-4/11))/s**(-6)*(s**(1/2))**19 assuming s is positive.
s**(355/22)
Simplify (i**(-4)*i/i**(-21))**5 assuming i is positiv
|
{
"pile_set_name": "DM Mathematics"
}
|
029/13950)
Simplify ((j**5/j**(3/2)*j**(-4/7)/j*j**4*j)**(-2/39))**4 assuming j is positive.
j**(-388/273)
Simplify (((i/i**(-17))/i)**(-9/2)*(i*i**17/i)**(-10))**39 assuming i is positive.
i**(-19227/2)
Simplify (s/(s*s*s/s**(1/4)*s*s)*s/((s/(s/s**5))/s)*s**3/s**(2/7))**(2/9) assuming s is positive.
s**(-113/126)
Simplify (((y*y/((y*y/y**(2/19))/y*y*y))/y**0)/(y**(-5/3)/(y*y*y*y**(1/4)*y)))/((y*y**10/y)/((y/(y**(-6)/y))/y*y))**(-42) assuming y is positive.
y**(20297/228)
Simplify (z**46)**(-39)*((z*z**17*z)/z)**(-1/5) assuming z is positive.
z**(-8988/5)
Simplify ((((n*n*((n**0*n)/n)/n*n)/n*n**(-1/7))**(4/3))**(-23))**(-3/14) assuming n is positive.
n**(276/49)
Simplify ((m**5*m)/(m*m**(-3)))**(-45/7)/(((m**5*m*m*m)/(((m**(5/4)*m)/m*m)/m))/(m**(2/13)/((m/(m*m**(-2)/m))/m))) assuming m is positive.
m**(-21849/364)
Simplify ((v*v/(v**(-6)*v)*v**(-6))/(v**1)**(-43))/(v**(-8)*v/(v*v*v*v*(v/(v*v/v**(3/4)))/v))**(-38) assuming v is positive.
v**(-653/2)
Simplify ((l/(l**0*l*l)*l**19)/(l**4*l)**43)**(1/8) assuming l is positive.
l**(-197/8)
Simplify s*s**0*s**(-2/7)*(s**1)**34*(s*((s*s**(-1/4))/s)/s)**(-1/13)*(s/(s/(s*s*s/s**(-1/4)*s)))**(4/23) assuming s is positive.
s**(296977/8372)
Simplify ((f/f**(-4/25))/(f*f/f**(-1/47)*f)*f**(-6/7)*(f/f**13)/f)**(-12/5) assuming f is positive.
f**(1551408/41125)
Simplify ((j**(1/2)/j)**(5/12))**(-42)*(j*j**(-4))/(j/(j*j**(-2/11)))*j**(-6)*j/j**(-1/4) assuming j is positive.
j**(9/11)
Simplify (m/(m*m**(-24/11)/m*m)*m)**32/(m/(m/((m/(m*m/m**(-36)))/m))*m**(-21)) assuming m is positive.
m**(1769/11)
Simplify ((d/d**(-2))**(-39))**(1/10)*d**(2/11)/d*d*d**(2/13)*(d/(d**5*d))/((d/(d*((d**(2/9)/d)/d)/d))/d) assuming d is positive.
d**(-233489/12870)
Simplify ((j*j**48*j*j/j**(-16/11))/(j/(j*j/j**(4/9)*j))**38)**(-22) assuming j is positive.
j**(-22090/9)
Simplify ((i**(-2/85)*i)/(i/i**(-1/10))*i*i**26*i*i*i**44)**(8/9) assuming i is positive.
i**(49556/765)
Simplify (((a**(-40)/a)/(a/(a*a*a**15)))/(a**(-2/31))**(-14))**(-20) assuming a is positive.
a**(16060/31)
Simplify ((j**0*j*j**7)/(j**(-1/2)/j*j)**(-22/5))/((j**(-1/3))**(-46)/(j**(2/17)*j/(j/(j**1/j)))) assuming j is positive.
j**(-2401/255)
Simplify (t**(-3/2)/t**(-2/19)*(t*t/(t*t**1/t))/((t*t/t**(-5)*t)/t))/((t/(t/(t/t**(-1))))/t**(-2/5)*((t*t**(1/2))/t)**(-39)) assuming t is positive.
t**(922/95)
Simplify (o**(-2)/(o/(o/(o*o/(o*(o/(o/o**6))/o*o))))*o**(-3)*o*o*(o**2*o)/o*o)/(o**5/(o/o**(-1/4))*(o**(-2/3))**(2/77)) assuming o is positive.
o**(1171/924)
Simplify ((w*w**(-28)*w)/w)**(19/2)/(w**(-2/3)*w**(-9)) assuming w is positive.
w**(-1481/6)
Simplify ((t**(-2)*t**(-4/7)/t*t*t/(t*(t*t*t**(-4/9)/t*t)/t)*t**1)**43)**(-20/7) assuming t is positive.
t**(115240/441)
Simplify (((x**8/x)/x)/x**(-8))/((x**(-4)*x)/(x*x**(-6)))*(x*x**(11/3)*x**(2/45))**47 assuming x is positive.
x**(10504/45)
Simplify (((l*l**33)/l**(-13/4))/(l/l**(-24))**(-26/9))**(-32) assuming l is positive.
l**(-31528/9)
Simplify ((h**(2/3)/h*h*h)**(-36))**(-6)*(h/(h/(h*h**(-10)/h))*(h/(h*h**(-1/10)))/h)**(-1/23) assuming h is positive.
h**(82909/230)
Simplify (k**(-1/5)*k**2/k)/((k/(k*(((k/k**(-2/15))/k)/k)/k))/k**(-3/8))*((k*k**(1/8)*k)/k**(2/11))**(-27) assuming k is positive.
k**(-35579/660)
Simplify (j**(-4)/(j/(j/((j/j**29*j)/j))))/(((j/(j**(-26)*j))/j)/(j/j**(-25))) assuming j is positive.
j**25
Simplify o**(-1/4)/(o**(2/3)/o)*o**(4/7)/o**5*(o**(2/11)/o*o**(-2/15))/(((o/((o/(o*o**(-1/2)/o))/o))/o)/o*o)**(-3/23) assuming o is positive.
o**(-189921/35420)
Simplify ((n*n*n*n**(-2/7))/n*n*n)**(-48)/(n**(2/7))**20*n**(-6)*n*n*n**(1/4)*(n/n**1)**(-2/17) assuming n is positive.
n**(-751/4)
Simplify ((u/u**0)**(-1/7))**(-16)/(u**(-1/2)*(u**(-3/2)/u)/u)**(-1/9) assuming u is positive.
u**(116/63)
Simplify (((l/l**2)/(l/l**(-2/3)))/((l*l**(2/7)/l)/((l/(l/(l*l**(-4))))/l*l)))/((l/l**1)**24*(l/l**(-1/9))/l**2) assuming l is positive.
l**(-319/63)
Simplify p*p**47*p*p**(5/12)*p*p**(4/5)*(p/p**39*p)/p assuming p is positive.
p**(793/60)
Simplify ((q*q**(-4/3))/(((q*q**4)/q)/q))**(3/32)*(q*q**2/q)/(q**(1/4)/q*q)*(q*q*(q/(q*q*q**1))/q)**(-5) assuming q is positive.
q**(103/16)
Simplify ((l**12*l*l**(-33))**(-26))**(-27/7) assuming l is positive.
l**(-14040/7)
Simplify (((f**(2/11)/((f*f*(f/(f**16/f)*f)/f)/f))**(-5/16))**(1/9))**(-1/3) assuming f is positive.
f**(725/4752)
Simplify (((y*y**(4/21))/(y/((y/y**(-4/9))/y)))/(y**14/y*y/(y*y**1)))**(3/8) assuming y is positive.
y**(-179/42)
Simplify ((g*g**6/g*g)/(g/g**5*g)*(g/(g/g**1))**(-36))/((g**0*g*g)**(-1/5)*(g/((g/g**(2/5))/g))**(-4/7)) assuming g is positive.
g**(-124/5)
Simplify (j**(2/77))**3/(j*j*j**(36/5)*j*j*j*j**(13/4)*j) assuming j is positive.
j**(-25213/1540)
Simplify (t**(-2)*t**(-3))**14*((t/t**(2/7))/t)**(15/7)*t**(4/7)*t**(4/5) assuming t is positive.
t**(-16964/245)
Simplify (z*z**(-1/3))**43*(z**1/z)**(-44)*(z/(z/z**(1/2)*z))**(-37)*(z*z/((z**(-1/6)*z)/z))/(z/((z*z**3*z)/z)) assuming z is positive.
z**(157/3)
Simplify ((v*v*v**(2/13)/v)/(v/(v/((v*((v/((v*v**(-3/7)*v)/v))/v)/v)/v*v))))/((v/v**(-5))/v**(-1))*(v**(-5)*v**5)/(v**(-2/17)*v**(-3)) assuming v is positive.
v**(-3337/1547)
Simplify ((v**(-14))**(-1/15)*(v/v**(-19))/(v*v*v/((v*v/(v*v**(1/30)/v*v))/v)))**(-39) assuming v is positive.
v**(-6981/10)
Simplify ((z**0)**3)**12*((z**(2/11)*z)**(-9))**(-13/6) assuming z is positive.
z**(507/22)
Simplify (a/a**(-3))/a**0*(a**(2/7))**(-1/7)*(a**(-5)*a*a**4)**(2/53) assuming a is positive.
a**(194/49)
Simplify ((l*l**6)/l*l*l*l/l**6*(l**(1/5))**19)/(l**(-3/2)*l*l*l**4*l*l*l**(-2/3)/(l**(3/7)/l*l)) assuming l is positive.
l**(293/210)
Simplify (((u*u/(u*u/u**(-4/7)))/u)**46/(((u*u*u**(-10)/u*u)/u)/u**(1/60)))**(-15) assuming u is positive.
u**(26573/28)
Simplify (j/(j**(-5)*j))/(j/j**4)*j**(-2/13)*j**0*j*(j**(-2)/j)/j**(-6)*j**(-2/7)/(j/(j*(j/((j/j**(1/4))/j))/j)) assuming j is positive.
j**(4299/364)
Simplify (k*k*k*k**19*k*k/(k**(-4/5)/k)*(k*k*k/((k/k**4)/k))/((k**8*k)/k))**(-39) assuming k is positive.
k**(-4836/5)
Simplify (((s*s**16*s*s)/s*s/(s/(s*s/(s*s*s**(-1)*s))))/(s**(-8/7)/(s/(s/((s**(2/41)/s)/s*s*s*s)))))**43 assuming s is positive.
s**(249185/287)
Simplify ((n*n/n**(-24)*n*n)/n)/(n**(-5/2)/n)*n**(22/5)/((n/(n*n*n**(1/2)))/n) assuming n is positive.
n**(187/5)
Simplify ((v**(2/7)*v*v*v**(-2/17))/(v**(-1)/(v/(v**(-4)/v))))/((v**(2/5)*v)/((v**1/v)/v))**(-37) assuming v is positive.
v**(58291/595)
Simplify ((w/(w**(1/2)*w))**(2/41)/(w**(3/5)*w*w/(w**(5/4)/w)*w))/((w**(2/5))**(-1/6))**(2/3) assuming w is positive.
w**(-4915/1476)
Simplify (f**2*f/(((f/f**4)/f)/f))/((f*f**(-2/7)*f)/(f**(-2/19)/f))*((f*f/(f/(f**(-5)/f*f*f*f)*f))/(f*f/f**(-3/10)))**(15/8) assuming f is positive.
f**(-10123/2128)
Simplify (w**(-2)*w*w/(w/w**(-1/3)))**21*(w*w**(-2/3)*w)**(1/5)/(w**(2/9)/(w/w**(-1/8))) assuming w is positive.
w**(-9659/360)
Simplify (x*x**38)**(1/16)/(x**(1/14)*x*x/x**(-27)*x) assuming x is positive.
x**(-3095/112)
Simplify (g**(-11/6)*g)**(-11)*(g*g**(-42))**(1/5) assuming g is positive.
g**(29/30)
Simplify (d**(-2/11)/(d/d**(-6/5)))**12*(d**(-7/2)*d**(-6))**(-2/3) assuming d is positive.
d**(-3671/165)
Simplify ((k/(k**(-2/7)*k))/(k/(k**11*k)))**(-20)*(((k**(-2)/k*k)/k)/k*k/k**7)/(k**1)**(-2/23) assuming k is positive.
k**(-37936/161)
Simplify (m**(-40)/(m**(-27/2)*m))/(m/(m/m**(-29)))**(-38) assuming m is positive.
m**(-2259/2)
Simplify (w**(-2/93)*w**(-8/5)*w**(-15)/(w**4*w))**44 assuming w is positive.
w**(-442376/465)
Simplify ((q*q/(q/q**(-16))*q/q**(2/5))/(q*q**(-7)*q*q*q**(-2/5)/q))**(-18) assuming q is positive.
q**162
Simplify (f/(f**1*f*f*f)*f**(-2/7))/(f*f*(f/(f*f**0))/f*f)**(-18)*((f/(f/f**(-1/3)))**18)**(-49) assuming f is positive.
f**(2287/7)
Simplify ((z**(-2))**(-32)/(z/z**(-21)*(z**(-16/5)/z)/z))**(-6/11) assuming z is positive.
z**(-1416/55)
Simplify ((x**(-5/3)/x)/x*(x/((x/(x/x**(-2/9))*x)/x*x))/x*((x**(2/13)*x)/x)**(-24/13))**32 assuming x is positive.
x**(-230144/1521)
Simplify (((q*(((q**(2/5)/q)/q)/q)/q)/q*q*q)**(-8/17)/((q**(-7)/q*q)/q**(2/3)))**(-7) assuming q is positive.
q**(-15029/255)
Simplify (s**(-5)/s**(-2/33)*(s/(s/(s/(s/(s*s**(-4))))))/(s**(-9)/s))/((s**8*s*s)/s**(4/7))**(-3/2) assuming s is positive.
s**(3743/231)
Simplify ((o**(-2/3)*o*o*o**(5/2)*o*o)/(o**(-5)/o*o**(-4/5)))/(((o*o/(o/(o*o*o**3*o*o*o)
|
{
"pile_set_name": "DM Mathematics"
}
|
be (-5)/((-45)/2) + 207208/(-34146). Let m = f + -3/271. Calculate the common denominator of -4*(-1)/(8/(-76)) and m.
7
Suppose -2*o - 24 = -5*i, -2*o = -3*o - 3*i + 21. Let u(h) = -h**3 - 10*h**2 + 9*h - 13. What is the lowest common multiple of u(-11) and o?
9
Let n(v) = -2*v**3 + 2*v. Let c(z) = 9*z**3 - 4*z**2 - 18*z + 10. Let x(r) = -c(r) - 4*n(r). What is the least common multiple of x(5) and 5*1*(-2)/(-2)?
15
Suppose -4*d + 51 = -25. Let m = -38 - d. Let y = m - -63. Calculate the lowest common multiple of 86 and y.
258
Let s = 588720105 - 5291416318961/8988. Let k = -64/321 + s. Find the common denominator of k and -59/12.
84
Suppose 94*w - 92*w - 7*n = 356, -2*w + 396 = 3*n. What is the smallest common multiple of w and 32?
192
Let o(j) = -j**3 - 5*j**2 - 3*j - 7. Let r be o(-6). What is the common denominator of -13/20 and (r/25)/((112/(-35))/4)?
20
Let l = -30769 + 32025. What is the least common multiple of 2512 and l?
2512
Let h(u) = -1263*u + 64. Let g be h(-7). What is the common denominator of 3 + (-196)/68 - g/5610 and -103/36?
396
Suppose 3*u = -15*l + 12*l + 150, 2*u - 5*l = 58. Calculate the lowest common multiple of u and 1688.
18568
Suppose 0 = 2*w + 20*w - 528. Suppose -3*v - w = -6*v - 3*c, -3*c = -3*v + 48. Calculate the lowest common multiple of 30 and v.
60
What is the common denominator of ((-374)/(-495)*-1)/(18/(-5)) and (-142)/(-24) + ((-20)/2)/(-10)?
324
Let n = -10013 - -10082. What is the smallest common multiple of n and 552?
552
Let b = 1428 - 975. Let p = b - 713. Find the common denominator of 91/8 and (p/75)/((-2)/(-12)*2).
40
Let l be (443 - 0) + (-80)/16. Let k = 553/4 - 4499/32. Find the common denominator of 1/5 + l/160 and k.
32
Suppose -99 = 8*p + 13. Let a be -32*(5/10 + 0). Let x = p - a. What is the smallest common multiple of x and 18?
18
What is the common denominator of (-302)/(-48)*(-18)/(-99) and 18/(-24)*164/54?
396
Let g = -11398 + 1128361/99. What is the common denominator of g and 7198/(-1952)*6/33?
792
Let j(l) = l**2 - 22*l + 103. Let r(x) = x**2 + 31*x + 36. Let p be r(-30). Suppose 5*g - 27 = 2*g. Calculate the least common multiple of j(p) and g.
63
Let n(a) = -71*a - 16. Let w(f) = 71*f + 14. Let j(i) = -4*n(i) - 3*w(i). What is the lowest common multiple of 4 and j(2)?
164
Let n(o) = 82*o**3 + 6*o**2 - 3*o + 4. Let j be n(4). Suppose -h - 3*h - j = 0. Find the common denominator of 23/3 and (-6)/(-15) + h/360.
36
Let m = -45 - 25. Let j = -71 - m. Calculate the common denominator of -58/5 and j/((-12)/27)*46/(-12).
40
Let c be ((-6)/(-5))/(5/(-125)). Calculate the common denominator of 0 + -1 + (-71)/c and -4 + (-142)/(-16) + -3 - -3.
120
Let k be 33/4*19791290/(-15750). Let m = k - 22613/175. Let d = m - -10502. Calculate the common denominator of -5/22 and d.
132
Suppose -60*a + 49057 + 5663 = 0. Calculate the lowest common multiple of a and 34.
15504
Suppose 11*z + 11*z = -220. What is the lowest common multiple of (13*(0 - 2))/(z/20) and 6?
156
Let g(u) be the third derivative of -u**4/24 + 2*u**3/3 + 109*u**2. Let r = -3 - -3. What is the lowest common multiple of g(r) and 9?
36
Suppose 29*r + 36 = 32*r. Let c = -72 + 100. What is the smallest common multiple of c and r?
84
Suppose 0 = -10*f - 14*f + 12960. What is the smallest common multiple of f and 60?
540
Suppose 37*d - 597 = 2*d - 177. What is the least common multiple of 40 and d?
120
Suppose 4*a = y + 4621 + 162, -3*y + 4787 = 4*a. What is the lowest common multiple of a and 16?
4784
Let q(i) = 308*i**2 + 9*i + 106. Let y be q(-6). Let w = y - 133763/12. Calculate the common denominator of w and 15/8.
24
Let j = 32938 + -92061704/2795. Find the common denominator of -37/20 and j.
11180
Let f = 259 - 103. Suppose -f = -20*u - 6*u. What is the smallest common multiple of -2 + 1*9 + -1 and u?
6
Let m(x) = x**2 + 4*x - 9. Suppose -20*g + 105 = -95. Calculate the smallest common multiple of m(-7) and g.
60
Let t be (-30374)/(-12) + 16/(-4). Let j = 2534 - t. Calculate the common denominator of (-3 - 0)/((-22)/(-26)) and j.
66
Suppose 0 = -3*a + 5 - 2. Let n be -12 - (0 + 2 + 174/(-29)). Find the common denominator of a/(-3*n/93) and 23/11.
88
Suppose j + 5*v = -96 + 32, 63 = -2*j + 3*v. Let r = 42 + j. Calculate the smallest common multiple of 27 and r.
27
Let t = -89/565 - -14122/55935. What is the common denominator of -38/81 and t?
4455
Suppose -196*b = -203*b + 1078. Find the common denominator of (-24)/4 - (-875)/b and -50/3.
66
Let q be ((-55450)/312)/(-25) + (-2)/(-3). Let y = q - 113/13. Find the common denominator of 63/2 and y.
12
Let j = 32797 - 96833/3. Let u = 738 - 223. Let v = j - u. Find the common denominator of v and -32/9.
9
What is the least common multiple of 225 and ((-5)/(-6))/(142/5964)?
1575
Suppose 2*i = 3*i. Let a = 6347 + -50713/8. Find the common denominator of -1 - 55/8 - i and a.
8
Calculate the common denominator of (-18)/6435*11/((-66)/300) and 23/312.
3432
Let b be (-1)/(-2) + (1215/18)/(-9). What is the smallest common multiple of (72 + 4)*(-6 - b) and 11?
836
Let k be (2 + -1)/(-1 + (-177)/(-174)). Suppose 3*f + f = 5*i + k, i + 38 = 3*f. Let g = 2 - 0. What is the smallest common multiple of g and f?
12
Suppose 165 + 555 = -6*b. Let t be 2/(-20)*-5*b/(-2). Calculate the common denominator of 65/46 and (-1 - -2)/(40/t).
92
Let s be 4 - (-12)/9*3 - 4. Suppose 0 = s*n + 5*p - 425, -4*n + 433 + 16 = -3*p. Calculate the least common multiple of n and 40.
440
Suppose -42*o - 32*o + 63*o + 539 = 0. What is the smallest common multiple of o and 15?
735
Let h(l) = -13*l + 414. Let y be h(22). Suppose 3*v - y = -5*v. What is the least common multiple of v and 88?
176
Suppose 3*l + 624 = 16*l. Suppose -6*d - 2*d = -l. What is the lowest common multiple of ((-50)/(-15) - (-4)/d)*2 and 6?
24
Let g be (-10)/(-60)*54966/8. Let y(q) = 142*q - 17. Let f be y(-8). Let t = f + g. What is the common denominator of t and 38?
8
Suppose -5*x = 4*j - 37, 3*x + 696*j - 697*j = 12. Calculate the least common multiple of 1407 and x.
7035
Calculate the common denominator of 115/742 and (-36)/(-33) + 7 + -9.
8162
Let m = -1724599/21878428 + 33/43238. Find the common denominator of m and 117/644.
7084
Let g = -24646 - -1084453/44. Calculate the common denominator of g and 59/92.
1012
Suppose 2*k = -3*n + 24, -5*k - 5*n - 71 + 121 = 0. Suppose -33 - 5 = -2*y. Calculate the lowest common multiple of k and y + 3 + (-2 - -2).
66
Suppose -90 = -110*n + 1010. Calculate the least common multiple of n and 1010.
1010
Let c = -678 + 964. Let k = 619/2 - c. What is the common denominator of k and -35/16?
16
Let v = 32 - -15. Let l = v - 43. What is the common denominator of -34/33 and (-11)/(-54) - l*(-1)/(-8)?
297
Suppose 3*h + 122 = 4*y, 3*y = -3*h + 2*h - 32. Suppose 2*p = 0, -2*n - 51 = -2*p + 73. Let r = h - n. Calculate the smallest common multiple of r and 10.
120
Let i = 98 + 80. What is the common denominator of 22 + -22 - i/4 and -57/20?
20
Let r = -12314 - -344893/28. What is the common denominator of r and 85/208?
1456
Find the common denominator of 26/73 and 104/1456 - 1293/(-126).
219
Calculate the smallest common multiple of ((-248)/(-24) + -17)/((-2)/3) and 250/20*(-16)/(-10).
20
Let c be (-2)/8 + (-15422774)/8. Let t = 11538385/6 + c. Let y = 4801 + t. What is the common denominator of 8 and y?
6
Let y be (3 - 0/3) + (114 - 3). What is the common denominator of -49/33 and 24/(-6) + 580/y?
627
Let d = -28315 + 283109/10. What is the common denominator of d and (-4)/(-20) - (-519)/(-1970)?
1970
Let w = 78860173/40296 + -45012/23. What is the common denominator of -99/164 and w?
71832
Let a(y) = 4*y**2 + 1. Let u(b) = b - 1. Let l(d) = -4*d + 5. Let x(c) = -l(c) - 3*u(c). What is the lowest common multiple of a(1) and x(9)?
35
Let p = -15497 + 16080. What is the smallest common multiple of 2120 and p?
23320
Suppose -u + 20*s = 21*s - 8, -8 = -4*s. Let m be (1 - (-1 + 1))*62. Let a = -23 + m. What is the least common multiple of u and a?
78
Let k = -239 + 296. Let v = -24 + k. What is the lowest common multiple of v and 15?
165
Let y be (-12)/(-60) + (-50012)/1260. Let q = y + 334/7. Calculate the common denominator of q and -53/46.
414
Let n = -25646/11 + 3078851/1320. Find the common denominator of -61/680 a
|
{
"pile_set_name": "DM Mathematics"
}
|
x*z + i*z**2 and give m.
3
Express -3*i**4 + 31*i**2 - 63*i**2 + 5*i**4 + 45 + 40*i**2 - i**4 as g*i**4 + t*i**2 + b*i + w + j*i**3 and give b.
0
Express (2*z - 2*z - 4*z)*(431*z + 81*z - 4639*z + 477*z - 1770*z - 4110*z) as h*z + j*z**2 + b and give h.
0
Rearrange -2516*h**2 - 1404*h**2 - 389*h**2 to the form v*h**2 + l + f*h and give v.
-4309
Rearrange ((2 + 0 + 3)*(-1 + 2*k + 1) + 3*k - k + 0*k)*(-279 + 682 + 685) to z + l*k and give z.
0
Express (2*n**2 + 0*n**2 - 2*n + n**2)*(-1931*n + 4140*n - 1635*n) in the form u*n + i*n**2 + a + h*n**3 and give h.
1722
Express 2*u**2 - 3 - 2 - 55*u**4 - 196*u + 389*u + 6*u**3 - 195*u in the form m + a*u**3 + h*u + f*u**2 + t*u**4 and give f.
2
Rearrange (-2 - 2 + 6)*(235 - 170 + 242)*(2*l + 10 - 10) - 1 + 1 - l + (l - 5*l + 3*l)*(-3 + 2 + 3) to the form n + t*l and give t.
1225
Rearrange (-75*g**2 + 303*g**2 - 165*g**2 + 50)*(0 + 4 - 1) to j + s*g + u*g**2 and give u.
189
Rearrange (0*u + 2*u + 0*u)*(68 - 141 + 19 - 42342*u + 54) to m + p*u + d*u**2 and give d.
-84684
Rearrange (2 + 3 - 1)*(12684 - 1887 + 3456)*(4*y - 2*y - 3*y) to t*y + j and give t.
-57012
Rearrange (n**2 + n**2 + n**2)*(-4265 + 2276 - 2413) to the form r + k*n**2 + h*n and give k.
-13206
Express -568 + 185*g**2 + 1136 - 567 - g + 14*g in the form l + z*g**2 + d*g and give d.
13
Express 2*c + 3*c**2 + 5472 - 10950 - 2*c**2 - 3*c + 5468 + 5*c**3 as b*c + v + l*c**3 + w*c**2 and give l.
5
Rearrange 27*m - 8848 + 5311 - 29*m to k*m + a and give a.
-3537
Rearrange (-3 - 2*l + 3)*(2*l**2 + l**2 - 2*l**2) + 896*l**3 - 1427*l**3 - 4076*l**3 to j*l**3 + s*l + p + o*l**2 and give j.
-4609
Express -1 + 70633*s - 22*s**3 - 4 - 70644*s in the form b*s + r*s**3 + p + v*s**2 and give r.
-22
Rearrange (-2 - 2 - 3)*(1 + 2 - 1)*(-b + 3 - 3)*(3062*b - 191 + 86 + 105) to s*b + x*b**2 + l and give x.
42868
Rearrange 94472545 - 94472545 + 29145*x to the form r*x + f and give r.
29145
Express -52*v**2 + 4*v + 16*v**3 - 2*v**4 + 76 - 70 + 49*v**2 in the form w*v + g*v**3 + k*v**4 + a*v**2 + f and give f.
6
Express 14837 + 3909*t - 14837 + 2*t**3 in the form y*t**3 + c*t + d + o*t**2 and give o.
0
Rearrange 12*n + 8*n**2 - 14*n - 2*n**2 - 4*n**2 - n - 11 to g + r*n**2 + x*n and give x.
-3
Rearrange 12 + 156*d + 8 - 154*d + (7*d + 6*d - 6*d)*(4 - 2 - 3) + 1 - 1 + 2*d to the form a + h*d and give a.
20
Rearrange -25112*g - 67*g**3 - 5 - 5*g**2 + 7*g**2 + 25104*g to c*g**3 + t + s*g + z*g**2 and give t.
-5
Rearrange -2*r**2 + r**2 - r**2 + (348 - 100 - 165)*(4*r**2 + 4*r**2 - 17*r**2) - r - 3 + 3*r**2 + 0*r**2 - r**2 to p*r**2 + d*r + b and give b.
-3
Rearrange -18*r + 6*r**2 - 253*r**3 + 543*r**3 + 3*r**4 - 289*r**3 to the form s + c*r + h*r**2 + i*r**4 + z*r**3 and give h.
6
Express 9*b**2 - 28*b + 81*b**3 + 30*b + 2*b**4 - 70*b**3 + 13 in the form p*b**4 + m + x*b + y*b**3 + u*b**2 and give u.
9
Express 4*u - 43*u**2 + 72*u**2 - 14*u**2 + 3*u - 12*u**2 - 163*u**4 in the form g + k*u**4 + h*u + d*u**3 + y*u**2 and give k.
-163
Express (-248*m + 41*m**2 + 247*m - 35*m**2)*(-15*m + 7*m - 22*m) in the form g*m + r*m**3 + b*m**2 + o and give r.
-180
Rearrange -516*h - 191*h**2 + 38 - 28 + 512*h to p*h**2 + l + m*h and give p.
-191
Rearrange -456 + 907 + 14703*v - 222 - 229 to the form u*v + a and give u.
14703
Rearrange -342*p + 642*p + 1492*p + 1981*p + 2520*p to o*p + k and give o.
6293
Rearrange (233 + 752 - 21 + (0 + 0 - 2)*(3 + 0 - 2))*(-2*q + 5*q - 4*q) to the form u + i*q and give i.
-962
Express v**2 - 125*v**4 - 18*v**4 + 2*v**3 - 2*v - 112 + 141*v**4 as l*v**2 + x*v + c + n*v**4 + s*v**3 and give x.
-2
Express 598*m + 3064*m - 857*m + 631*m in the form x + a*m and give a.
3436
Express (20*p + 27*p - 51*p - 3*p**2)*(12*p**2 + 16 - 16) as t + k*p**2 + v*p**3 + a*p**4 + s*p and give v.
-48
Express (-8*p + 2*p + 2*p + (0*p - p + 4*p)*(-4 + 4 + 4))*(4 + 1 + 20) as n*p + r and give n.
200
Express 2 + y**2 + y + y - 5*y - 4*y + 4*y as l*y**2 + v*y + r and give v.
-3
Rearrange -3436 - 7*a + 1074 + 1503 + 792 + 1573 to m*a + k and give m.
-7
Rearrange -4*l**3 + 5*l**3 + 98 - 4161*l - 98 + 121*l to y + q*l**2 + r*l + b*l**3 and give y.
0
Express 2*o - 2*o - 2*o**3 + (-1 + 3 - 4)*(-2*o**3 + 3*o**3 - 3*o**3) - 2840*o**3 - 32180249*o + 32180249*o in the form c*o**3 + f*o**2 + u*o + r and give f.
0
Rearrange (-1 - 5 + 17)*(-3*p + 3*p + 2*p**2) + (1 + 0 - 2)*(2*p + 3 - 3)*(4*p - 2*p - 3*p) - 4*p**2 - 9*p**2 - 2*p**2 to the form n*p**2 + u*p + h and give n.
9
Rearrange (10*t**2 + 29*t - 2 - 29*t)*((0*t - t + 0*t)*(-3 - 1 + 5) + 10*t - 19 + 19) to p*t**2 + r*t + j*t**3 + l and give r.
-18
Rearrange (-4*w + w + 11*w)*(2*w**2 - w**2 - 2*w**2 + (-2*w + 3*w - 2*w)*(28*w - 133 + 133)) to the form g*w**2 + b*w**3 + f + s*w and give b.
-232
Express (377 - 2185 - 3520)*((-1 + 3 + 0)*(-3*u + 2*u - 2*u + (u - 4 + 4)*(-1 + 2 - 2)) + u - 2*u + 2*u) as n*u + g and give n.
37296
Express -55 + 17*u + 36 + 18*u**4 + 17 - 2*u**3 in the form k*u**2 + i*u**3 + q + c*u**4 + r*u and give k.
0
Express (-20*o + 20*o + 9*o**2)*(-36 + 18 + 26 + (-2 + 3 + 0)*(-1 + 4 - 4) + 1 - 2 + 4) in the form g + m*o**2 + q*o and give m.
90
Rearrange (-135*c**2 - 140*c**2 - 234*c**2)*(16*c + 57 - 57) to the form d*c**3 + y*c**2 + k*c + t and give t.
0
Rearrange (6*g**2 + 8*g**2 - 3*g**2)*(-1229*g + 537*g + 518*g) to the form s + x*g + h*g**3 + o*g**2 and give s.
0
Rearrange 973*i**2 - 1902*i**2 + 0 - i + 932*i**2 + 182*i**3 - 2 to the form n + o*i + t*i**3 + r*i**2 and give t.
182
Express (-3 - 11 + 23)*(-158 - 109*g + 158)*(3 - 3 + 3*g) as z*g**2 + v + s*g and give z.
-2943
Express -20343*y + 50*y**2 - 4 + 76*y**2 + 20345*y + 152*y**2 in the form x + i*y + g*y**2 and give x.
-4
Express (-20*b - 14*b + 39*b**2 + 34*b)*(9172 + 472*b**2 - 9172) as a + v*b**2 + i*b**3 + f*b**4 + h*b and give f.
18408
Rearrange (-4*f + 1 - 1)*(-434706 + 434706 + 163*f + (0 - 2*f + 0)*(1 - 3 + 1))*(-2*f + 4*f + 0*f) to b + m*f**2 + o*f + k*f**3 and give k.
-1320
Rearrange 11 + 12 - 230*s**3 + 157*s**3 + 123*s**3 to the form x*s**2 + u*s**3 + t + z*s and give u.
50
Rearrange (-585*p**3 - 18648*p**2 + 1 + 18648*p**2 - p)*(-3*p + p - p) to the form o*p**3 + s*p**2 + u + y*p + m*p**4 and give s.
3
Rearrange z**3 - 11*z**4 - 723*z**2 + 702*z**2 + 12*z - 14*z to the form u + r*z**2 + x*z + a*z**4 + i*z**3 and give a.
-11
Rearrange -10*q**3 + 3508*q**2 + 13*q**3 - 2323*q**2 to t*q + x*q**3 + l + r*q**2 and give x.
3
Express 9*u - u**2 + 17*u + 35*u - 43*u as c + t*u**2 + k*u and give t.
-1
Express -15517*b**3 - 15520*b**3 + 31060*b**3 + 7*b in the form j*b + a*b**2 + f + z*b**3 and give j.
7
Express (5 - 14 - 12)*(-10*h + 2*h - h) + 4*h - h + 5*h as p*h + w and give p.
197
Express (2*j + 5*j**2 + j - 3*j**2 - 1)*(-5*j - 2*j + 3*j + 42) in the form t + m*j**3 + s*j + r*j**2 and give s.
130
Express 418*x + 5 + 16 - 79*x**3 - 23 + 78*x**3 in the form h*x**2 + l*x + n + g*x**3 and give n.
-2
Express (m - m - m)*(-564 - 275 - 107)*(-60*m - 205*m + 37*m) as g*m**2 + v + s*m and give g.
-215688
Rearrange (1 - 2 - 3)*(-126*m - 85*m - 660*m - 335*m) + 3*m - m + 0*m to the form j + u*m and give u.
4826
Express 0 + 13 - 8*f + 238498*f**3 - 238504*f**3 as q*f**2 + k*f + n + s*f**3 and give n.
13
Express -2450*j - 205 + 1764*j - 2393*j + 207 as w*j + p and give w.
-3079
Rearrange 79*i - 1161 - 1128 + 2298 to the form d + n*i and give d.
9
Rearrange (-1 + 1 + 3*a + (-2 + 3 - 3)*(2*a + a - a) + (-5 - 4 - 12 + 4*a)*(-4 - 3 + 4))*(3*a**2 + 3*a - 3*a) to the form w*a**2 + n + r*a**3 + t*a and give r.
-39
Rearrange -638*d**2 + 2*d**3 + 6 + 0*d - 429*d**2 - d**4 + d + 1064*d**2 to the form b*d**2 + z*d**4 + w*d**3 + x + n*d and give x.
6
Rearrange -2*m**2 - 2*m**4 + 2*m**3 - 33*m - 8 - 12 + 19 - 6*m to the form s*m**3 + l*m + x*m**2 + u*m**4 + c and give c.
-1
Express 129*n**3 + 9 + 8*n + 46*n**3 + 21*n**2 - 173*n**3 as s*n + i*n**3 + x*n**2 + d and give s.
8
Rearrange 1601*w**2 - 607*w**2 + 3319*w**2 - 491*w**2 + 5653*w**2 to d*w + z + x*w**2 and give z.
0
Rearrange (15*d - 3*d + d)*(-4 + 2 + 0)*(4 - 4 - 2) - 2 + 2 + 5*d + (64 + 39*d - 64)*(-1 + 2 + 1) to the form w*d + m and give w.
135
Express ((2*p - 4*p + 4*p)*(4*p - p - 4*p) + (1 + 0 - 2)*(-44*p + 119*p + 32*p)*(-2*p + p + 3*p))*(-2*p + 3 - 3) as s*p**2 + o*p + n + i*p**3 and give i.
432
Rearr
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the greatest common divisor of 1666662 and 210222.
1374
Calculate the highest common factor of 840 and 4661720.
280
Calculate the highest common factor of 476354 and 2888052.
2494
Calculate the greatest common factor of 1799442158 and 1577.
1577
What is the highest common divisor of 22946 and 252483?
77
What is the greatest common factor of 21970 and 845290?
10
Calculate the highest common factor of 2140 and 15846807.
107
Calculate the highest common divisor of 209841351 and 38801.
5543
What is the greatest common factor of 225722 and 266?
14
What is the highest common divisor of 27 and 61236918?
27
What is the greatest common factor of 29864245 and 5975?
1195
Calculate the greatest common factor of 1377 and 26602722.
459
Calculate the highest common divisor of 342 and 1576740.
6
Calculate the greatest common divisor of 468 and 7423221.
39
Calculate the greatest common factor of 13558630 and 10.
10
Calculate the greatest common factor of 4731823 and 785.
157
Calculate the greatest common factor of 4824 and 18277344.
72
What is the highest common factor of 240644496 and 6?
6
What is the greatest common divisor of 5985159 and 19897?
101
Calculate the highest common divisor of 6 and 28313640.
6
What is the greatest common divisor of 738 and 17987274?
738
What is the greatest common factor of 1893242 and 182?
26
What is the greatest common factor of 38902 and 4346?
106
Calculate the greatest common divisor of 180476268 and 6.
6
What is the highest common factor of 55 and 2709654640?
55
Calculate the highest common divisor of 1867835 and 35.
5
Calculate the highest common divisor of 31545 and 1375155.
45
Calculate the highest common factor of 36278 and 50966.
34
Calculate the greatest common factor of 12485083 and 117.
13
Calculate the greatest common factor of 114744415 and 1765.
1765
Calculate the greatest common factor of 2081449 and 64459.
73
Calculate the greatest common factor of 1108588 and 52.
52
Calculate the greatest common factor of 64944556 and 36891.
4099
Calculate the highest common factor of 4399290 and 6390.
90
Calculate the greatest common divisor of 1477 and 2604518.
7
What is the greatest common factor of 10329 and 3329381?
3443
What is the greatest common factor of 585 and 4761783?
117
Calculate the highest common divisor of 784 and 5356484.
196
Calculate the greatest common divisor of 79973404 and 4585.
917
What is the greatest common divisor of 832775 and 19325?
25
What is the greatest common divisor of 817133 and 377?
29
What is the greatest common factor of 87 and 8860851777?
87
Calculate the greatest common divisor of 93104 and 372592.
176
Calculate the greatest common divisor of 13433490 and 6300.
630
Calculate the highest common divisor of 2636 and 914033.
659
What is the greatest common factor of 3599875 and 12077?
929
What is the greatest common factor of 36593415 and 6046?
3023
What is the highest common divisor of 40692260 and 2100?
140
Calculate the greatest common factor of 749250 and 2106.
162
What is the highest common divisor of 214056 and 394418?
1982
What is the greatest common factor of 520 and 213986760?
520
What is the highest common divisor of 14685 and 153552234?
2937
What is the highest common divisor of 16192012 and 618?
206
Calculate the greatest common divisor of 2561780 and 9440.
1180
Calculate the greatest common factor of 174 and 3639786.
6
Calculate the greatest common factor of 2599753 and 104.
13
Calculate the greatest common divisor of 6234 and 470103862.
2078
Calculate the greatest common divisor of 6862 and 4211881.
73
Calculate the highest common divisor of 414 and 44787026.
46
What is the greatest common divisor of 2394 and 104319747?
1197
Calculate the highest common divisor of 5654 and 164934.
22
Calculate the highest common factor of 1409 and 36083081.
1409
Calculate the greatest common factor of 908222 and 1218.
406
Calculate the highest common divisor of 4065 and 578415.
15
What is the highest common factor of 299437968 and 144?
48
What is the greatest common divisor of 7 and 2093609539?
7
Calculate the greatest common factor of 7491974 and 371.
371
Calculate the highest common factor of 21275 and 89120.
5
What is the highest common divisor of 161200 and 156650?
650
Calculate the greatest common divisor of 4560 and 3777690.
30
What is the greatest common divisor of 309060 and 956250?
1530
Calculate the highest common factor of 756442 and 567638.
1226
What is the highest common factor of 9107568 and 720?
144
Calculate the greatest common factor of 779893096 and 16.
8
What is the greatest common factor of 9910 and 18590?
10
Calculate the highest common divisor of 18 and 325277982.
18
Calculate the greatest common divisor of 2016 and 8320464.
144
Calculate the highest common divisor of 733649 and 323183.
2359
What is the greatest common factor of 348 and 127394796?
348
Calculate the highest common divisor of 5284 and 193551599.
1321
What is the greatest common divisor of 17248 and 3016244?
2156
Calculate the greatest common divisor of 9394 and 3199084.
854
Calculate the greatest common factor of 922477 and 55169.
1283
What is the greatest common factor of 3880962 and 6?
6
Calculate the greatest common divisor of 14131497 and 1236.
309
What is the greatest common divisor of 23744 and 834326?
106
Calculate the greatest common divisor of 1796554292 and 10933.
10933
What is the greatest common factor of 5064 and 1702137?
633
What is the highest common divisor of 555296 and 9632?
224
Calculate the highest common divisor of 48485 and 433320142.
9697
What is the highest common divisor of 156 and 214739668?
52
Calculate the highest common factor of 3008 and 8582408.
8
Calculate the greatest common divisor of 1356 and 88848171.
339
What is the greatest common factor of 109374544 and 464?
464
What is the highest common divisor of 2859300 and 14100?
300
What is the greatest common factor of 11237 and 4017967?
17
Calculate the greatest common divisor of 358913 and 147431.
379
What is the highest common factor of 6930 and 151935?
105
Calculate the greatest common factor of 8840 and 9502480.
520
Calculate the highest common divisor of 79 and 55440383.
79
What is the greatest common divisor of 1427 and 65475?
1
Calculate the highest common factor of 161468220 and 1884.
1884
Calculate the greatest common divisor of 557346 and 12768.
114
What is the greatest common divisor of 6885200 and 16800?
2800
What is the highest common factor of 100209655 and 10220?
2555
What is the greatest common factor of 27990 and 43963893?
2799
What is the greatest common divisor of 547822 and 1209604?
814
What is the greatest common factor of 6152348 and 28?
4
What is the highest common factor of 6665548 and 804?
4
Calculate the highest common divisor of 3892008 and 28527.
771
Calculate the greatest common factor of 38027 and 2288.
11
Calculate the greatest common divisor of 62384 and 7373566.
1114
Calculate the highest common divisor of 33 and 17167799.
11
What is the greatest common factor of 1055 and 2498354995?
1055
What is the highest common factor of 61240048 and 2512?
2512
Calculate the highest common factor of 4214371 and 133.
133
Calculate the highest common factor of 3432 and 13751232.
264
What is the greatest common factor of 86 and 6720599?
43
What is the greatest common divisor of 212553 and 92321?
2147
What is the greatest common factor of 14412532 and 1020?
68
Calculate the greatest common divisor of 89028 and 29628.
36
What is the greatest common factor of 364 and 9438940?
28
Calculate the highest common divisor of 1161202245 and 490.
245
Calculate the greatest common divisor of 1258110 and 156030.
210
What is the highest common factor of 40 and 90060970?
10
Calculate the highest common divisor of 29486949 and 516.
129
Calculate the highest common divisor of 3051162 and 108.
54
What is the greatest common factor of 84 and 27397916?
28
Calculate the highest common factor of 444 and 1035384172.
148
Calculate the highest common divisor of 733480 and 5560.
40
What is the greatest common divisor of 114699 and 1862691?
519
Calculate the highest common factor of 89769889 and 209.
209
What is the highest common factor of 656 and 534872?
8
What is the highest common divisor of 266063 and 1674386?
1393
Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
- 7*z**2. Determine k(w(s)).
12*s**4
Let z(t) = -2*t**2. Let f(a) be the second derivative of 3*a**4/2 + 18*a. Calculate z(f(g)).
-648*g**4
Let z(k) = 2*k**2. Suppose 4*s - 1 = 11. Let g(h) = 2*h**2 + s - 1 - 2. Give z(g(y)).
8*y**4
Suppose -2*n = n. Let d(k) = k + k + n*k. Let o(p) = -p**2 - 4*p**2 + 6*p**2. What is d(o(l))?
2*l**2
Let l(z) = 15*z + 13. Suppose 5*r = 3*r - 12. Let o(h) = 7*h + 6. Let x(j) = r*l(j) + 13*o(j). Let p(v) = 3*v. Calculate p(x(d)).
3*d
Let m(w) = -3*w - 28. Let k(v) = -v. Give k(m(r)).
3*r + 28
Let z(h) = -53*h**2 - 1. Let c(s) = -s**2. Give c(z(k)).
-2809*k**4 - 106*k**2 - 1
Let w(m) = -14*m. Let j(k) = k + 0*k - 6*k. Let u(l) = -17*j(l) + 6*w(l). Let b(a) = 4*a**2. Give u(b(s)).
4*s**2
Let s(q) = -q + 525 - 525. Let u(r) = 21*r**2. Determine s(u(i)).
-21*i**2
Let x be 0 + (0/(-1) - -2). Let z(d) = 3*d**x - d**2 + d**2. Let k(a) = -2*a. What is k(z(y))?
-6*y**2
Let r(p) = -9*p**2. Let k be (-15)/(-10)*(-4)/(-3). Let l(j) = 4*j - 7*j + k*j. Determine r(l(o)).
-9*o**2
Let k(y) be the first derivative of y**2/2 - 3. Let d(m) = -27 + 12 - 3*m + 15. Determine k(d(i)).
-3*i
Let p(o) = o**3 + 3*o**2 - 3*o - 3. Let u be p(-4). Let k(v) = -v - 4. Let x be k(u). Let b(z) = -4*z + 3*z + x*z. Let f(c) = c. Give f(b(g)).
2*g
Let w(x) = -8*x**2. Let j(o) = 480*o. Calculate w(j(g)).
-1843200*g**2
Let r(h) be the first derivative of -3*h**2 - 7. Let z(x) = -x. Give z(r(i)).
6*i
Let b(h) = -4*h**2. Let t(s) be the first derivative of s**3/3 + 6. Give t(b(p)).
16*p**4
Let x(s) = -2*s**2. Let w(z) = -10*z - 106. Give w(x(g)).
20*g**2 - 106
Let f(a) = a**2. Suppose -2*g - 78 = -5*g. Let l(q) = -q**2 - 13*q - 13. Let h(j) = 3*j + 3. Let r(t) = g*h(t) + 6*l(t). Give f(r(s)).
36*s**4
Let h(a) = -28*a. Let d(u) = 1061*u. Determine h(d(t)).
-29708*t
Let c(i) be the first derivative of -i**5/60 + i**3 - 7. Let y(q) be the third derivative of c(q). Let n(b) = 2*b**2. Give n(y(m)).
8*m**2
Let a(t) = 3*t + 3. Let n(p) = 6*p + 5. Let h(z) = -5*a(z) + 3*n(z). Let m(k) = 1 - 1 + 461*k**2 - 453*k**2. Calculate m(h(y)).
72*y**2
Let i(t) = -7*t**2. Let c(r) be the third derivative of r**7/2520 + 5*r**4/24 - r**2. Let b(l) be the second derivative of c(l). Determine b(i(z)).
49*z**4
Let k(y) be the second derivative of -y**4/4 - 4*y. Let o(z) = -5*z. Determine o(k(l)).
15*l**2
Let s(w) be the second derivative of w**3/6 + 2*w. Let q(j) be the first derivative of -j**2 - 1. Calculate q(s(z)).
-2*z
Let c(n) = 105*n**2. Let g(p) = -18*p + 2. Give g(c(k)).
-1890*k**2 + 2
Let p(w) = -w. Let v(s) be the third derivative of s**7/840 + s**4/8 - 2*s**2. Let j(r) be the second derivative of v(r). What is j(p(b))?
3*b**2
Let m(f) = -3*f. Let k(a) be the first derivative of -4*a**3/3 + 24. Determine m(k(j)).
12*j**2
Let z(t) = 18*t**2 + 10*t**2 - 23*t**2. Let f(m) = -6*m + 4. Let w be 8/2 + -2 + -1. Let o(k) = -k + 1. Let d(x) = w*f(x) - 4*o(x). What is z(d(a))?
20*a**2
Let l(d) = -d + 4. Let k be l(2). Let b(a) = 3 + 0*a**2 + 3*a**k - 3. Let i(o) = -3*o. Give i(b(r)).
-9*r**2
Let i(y) = -5*y**2. Let u(h) = -2*h**2 - 33. Calculate u(i(f)).
-50*f**4 - 33
Let h(g) = -2*g. Let o = 2 + -4. Let x = -1 - o. Let j(f) = -2*f**2 + 0 - x + 1. Give j(h(w)).
-8*w**2
Let h(s) = s. Let n(t) = 0 + 4 - 3*t**2 + 4*t - 3*t - 5*t. Let w(u) = 14*u**2 + 21*u - 21. Let m(q) = -21*n(q) - 4*w(q). Calculate h(m(o)).
7*o**2
Let r(t) = -2*t. Let y(s) = -13*s - 5. Let j(k) = -8*k + 4 + 4 + 28*k. Let h(c) = 2*c + 5. Let z be h(-5). Let f(x) = z*j(x) - 8*y(x). Calculate r(f(i)).
-8*i
Let x(p) = -p. Let w(b) = -9*b + 24. Give x(w(s)).
9*s - 24
Let a(w) = 2*w**2 - 15. Let s(k) = -k. Give s(a(u)).
-2*u**2 + 15
Let s(o) = -2*o. Let w(c) = 4*c**2 - 268*c + 1. Determine s(w(f)).
-8*f**2 + 536*f - 2
Let m(a) be the second derivative of 5*a**4/6 + 9*a**2/2 - a. Let g(l) = l**2 + 1. Let t(j) = -18*g(j) + 2*m(j). Let u(v) = 4*v - 4*v - 3*v. Give t(u(y)).
18*y**2
Let p(l) = -4*l**2. Let y(m) = 79*m. What is y(p(x))?
-316*x**2
Let n(o) = -o. Let m(q) = q**2 - 5*q + 2. Let l be (9/3 + 2)*1. Let b be m(l). Let u(a) = 0*a + b*a - 3*a. Determine n(u(p)).
p
Let u(i) = 48*i + 44. Let d(h) = -h - 1. Let z(m) = -88*d(m) - 2*u(m). Let f(n) = n. Determine f(z(k)).
-8*k
Let o(i) = i**2 - 1. Let f(g) = 5*g**2 - 4. Let d(s) = f(s) - 4*o(s). Let q(h) be the third derivative of -3*h**4/8 + 2*h**2. Give q(d(c)).
-9*c**2
Let d(q) = 8*q**2. Let t(g) be the third derivative of -g**6/720 - g**4/24 - 4*g**2. Let f(l) be the second derivative of t(l). Determine d(f(r)).
8*r**2
Let y(c) = 3*c. Let p be -6*1*80/(-15). Let r(m) = p*m - 32*m + m**2. Determine y(r(q)).
3*q**2
Let a(y) = -5*y - 13. Let c(o) = 2*o. What is a(c(q))?
-10*q - 13
Let i(d) = 11*d + 11. Let u(z) = -1. Let j(f) = -i(f) - 11*u(f). Let c(a) = 2*a + 6*a + a - 7*a. Determine c(j(p)).
-22*p
Let n(o) = -4*o + 0 + 4 - 4. Let k(a) be the third derivative of a**5/60 + a**2. Calculate k(n(f)).
16*f**2
Let r(z) = 16*z**2. Let j(h) = 663*h. Determine j(r(c)).
10608*c**2
Let a(o) be the third derivative of -o**4/6 + 16*o**2. Let d(q) = -2*q**2. What is d(a(z))?
-32*z**2
Let r(i) = 2*i + 0*i + 4*i. Let u(g) = -g**2. Let f = 5 - 7. Let t(c) = 3*c**2. Let h(p) = f*u(p) - t(p). Determine r(h(s)).
-6*s**2
Let d(o) = -2*o**2. Let p(i) = -17*i + 7. Determine d(p(x)).
-578*x**2 + 476*x - 98
Let k(h) = -16*h + 1. Let v(f) = -f. What is k(v(r))?
16*r + 1
Let f(n) = n. Let q(z) be the second derivative of -17*z**3/3 - 15*z. What is q(f(j))?
-34*j
Let a(z) = -2*z**2. Let j be ((-6)/(-2))/((-6)/(-10)). Suppose 0 = j*i - 13 + 3. Let q(y) = -i*y + 0*y + 4*y. What is q(a(d))?
-4*d**2
Let f(v) = 11*v. Let x(l) = l. Let w(k) = -10*k. Let o(b) = -w(b) - 8*x(b). Determine o(f(q)).
22*q
Let s(z) = z**2. Let p(u) = u**2 + u. Let t(y) be the second derivative of y**4/3 + y**3 + 7*y. Let h(k) = -6*p(k) + t(k). Calculate h(s(d)).
-2*d**4
Let u(w) = 9*w**2 + 2*w + 2. Let i(c) = -19*c**2 - 5*c - 5. Let d(v) = -2*i(v) - 5*u(v). Let x(b) = -b**2. Determine x(d(s)).
-49*s**4
Let a(g) = 424 - 7*g**2 - 424. Let z(s) = 2*s. What is z(a(v))?
-14*v**2
Let b(q) = 2*q. Let i(k) = -76*k + 36. Let v(s) = 2*s - 1. Let n(h) = -2*i(h) - 72*v(h). What is b(n(u))?
16*u
Let h(b) = -77*b**2 - 5*b. Let m(j) = j. What is h(m(g))?
-77*g**2 - 5*g
Let r(l) = 744*l**2. Let h(q) = q. Determine h(r(z)).
744*z**2
Let t(a) = -1 + 2*a + 1. Let j(h) be the second derivative of -h**6/720 + h**4/12 + 3*h. Let o(n) be the third derivative of j(n). What is t(o(g))?
-2*g
Let b(m) = 8*m**2 + 14. Let n(y) = -y**2 - 2. Let u(p) = 5*b(p) + 35*n(p). Let i(o) be the first derivative of -4*o**3/3 - 2. Determine i(u(d)).
-100*d**4
Let a(v) = -2. Let s(l) = l + 9. Let b(k) = -18*a(k) - 4*s(k). Let x = -5 - -15. Let q(i) = 3*i - 11*i**2 + x*i**2 - 3*i. Calculate b(q(f)).
4*f**2
Let w(n) = -2*n**2. Let x(q) = -59*q. Determine x(w(y)).
118*y**2
Let j(f) = 28*f**2. Let h(p) = p**2. Give h(j(z)).
784*z**4
Suppose -5*h - l = -10, 3*h - 6*h - l = -6. Let t = 2 + 0. Let r(x) = -6*x**2 - 3*x**2 + 0*x**t + 2*x**h. Let y(d) = d**2. Give y(r(w)).
49*w**4
Let l(v) = -v**2. Let t(k) = -6*k**2 - 6 + 1 + 5. Give t(l(w)).
-6*w**4
Let x(h) = 27*h**2. Let q(n) = -2*n + n + 5*n - n. What is q(x(r))?
81*r**2
Let w(j) be the first derivative of j**3 - 116. Let x(l) = 5*l**2 + 2. Let r(m) = 16*m**2 + 7. Let g(q) = 2*r(q) - 7*x(q). Determine w(g(v)).
27*v**4
Let c = 4 + -1. Let k be 9/c*7/1. Let l(t) = -t**2 + k*t - 21*t. Let q(z) = -2*z. Give q(l(r)).
2*r**2
Let u(i) = 1 + 6*i + 0 + i**2 - 7 - 5*i**2. Let m(c) = -5*c**2 + 7*c - 7. Let k(w) = 6*m(w) - 7*u(w). Let f(q) = 9*q. What is k(f(t))?
-162*t**2
Let k = -4 - -11. Let t(b) = -9*b + k*b - 4*b. Let s(i) = 3 - i + 4 - 7. What is t(s(u))?
6*u
Let d(u) be the first derivative of 1/2*u**2 + 0*u - 3. Let q(n) = -2*n. Give q(d(w)).
-2*w
Let z(q) = -2*q. Let t(m) = -m**3 - 5*m**2 + 6*m + 2. Let h be t(-6). Let w(a) = -4*a**h + 0*a**2 + 2*a**2 + 0*a**2. What is w(z(r))?
-8*r**2
Let i(y) be the first derivative of -y**3/3 - y - 3. Let j(l) be the first derivative of i(l). Let b(t) = t. Calculate j(b(v)).
-2*v
Let w(n) = -19*n**2. Let l(k) = 10*k**2 - 6*k - 6. Let a(g) = -29*g**2 + 17*g + 17. Let i(d) = -6*a(d) - 17*l(d). Determine i(w(b)).
1444*b**4
Let s(l) = 276*l. Let p(z) = z**2. Determine s(p(i)).
276*i**2
|
{
"pile_set_name": "DM Mathematics"
}
|
/13)*x*x/x**(-3/11))*(x*x**(2/11)*x*x)/x**(3/4)*x*x**(-2/3)*x*x**(2/3) assuming x is positive.
x**(48623/572)
Simplify (y**1)**(-9/7)*(y*y**1)/y*y/y**(-4)*((y**(-2))**(-42))**(-3/29) assuming y is positive.
y**(-807/203)
Simplify ((u*u*u**0/u*u*u)/(u/u**(3/4)*u))**(-24)*((u**(-3/8)/u)/u*u*u**6)**(-18/11) assuming u is positive.
u**(-2181/44)
Simplify ((k*(k*k/(((k*k*k/k**(-3/17))/k)/k*k))/k)/(k/k**(-20/3)*k)*k**(-27)*k*k*k**(5/2))**(-5/7) assuming k is positive.
k**(15985/714)
Simplify ((w/(w*w/(w*w*w**(2/5))*w)*w/(w*(w/((w*w*w**(1/5)*w*w)/w))/w))/(w**7*w**(1/5)))/(w**(-3)/w**(-7))**(-20/3) assuming w is positive.
w**(346/15)
Simplify ((a**(1/3)*(a/(a/(a/(a**4/a)))*a)/a)/((a/((a/a**1)/a*a))/a)**(-35))/((a*a**(2/9)/a*a**(-6))/(a**(3/5)/((a/a**(-1))/a))) assuming a is positive.
a**(167/45)
Simplify ((n*n**(-8/3))**(1/3)/(((n/(n/(n*n**(-3)/n)*n))/n*n)/((n/n**0)/n*n)))**(4/27) assuming n is positive.
n**(160/243)
Simplify (s**0/(s*s**(6/7)*s))**(-8)*((s**(2/3)/s)**(-46))**46 assuming s is positive.
s**(15292/21)
Simplify (((h**(-38)*h)/(h/(((h/((h/(h/(h*h**(3/2))))/h))/h)/h)))/(h/((h*h/h**(-32))/h)*h)**(-5/11))**(-45) assuming h is positive.
h**(54045/22)
Simplify ((v*v/(v/(v*v*v**(-6)*v)))/v*v**(-3))/((v/v**(2/9)*v)/v**1)*v**(-4)*v**6*(v/v**(1/12))/((v**(-1)/v)/v) assuming v is positive.
v**(-31/36)
Simplify (((t/(t/(t*t/t**(1/2))))/(t*t**(2/9)))/(t/(t*(t/(t/(t*t**0)))/t))**(17/5))/((t*t*t/t**(-2))**(1/11))**(1/15) assuming t is positive.
t**(49/198)
Simplify x**(-31)*x**(-16/7)*x*(x*x/((((x/(x/(x**32/x*x)))/x)/x)/x))**(-27) assuming x is positive.
x**(4877/7)
Simplify (a**(-1/2)/a*a*a**(-3)*(a*a**(1/4)/a)/a**7)/((a*a**(-4/5)*a*a)/a*a**(5/6)*(a*a**(-3))/a**(-1/3)) assuming a is positive.
a**(-637/60)
Simplify ((v*v/(v*v/v**0*v*v))**47)**(-9/2)/(v**(1/2)*v**(-5/4)*(((v*v**0*v*v*v)/v)/v)**(1/7)) assuming v is positive.
v**(11857/28)
Simplify (u**6/u**2)**(-24)*u**0*u**(-2/7)*u**2/(u/u**1) assuming u is positive.
u**(-660/7)
Simplify k**(-2)*k*k/(k/(k*k**3*k)*k)*k**0/k**(-1/2)*((k/(((k/(k*(k/(((k*k*k**(-2/3)*k)/k)/k)*k*k)/k*k))/k*k)/k))**18)**(14/11) assuming k is positive.
k**(2429/22)
Simplify ((o/(o*o**(-1)))**10)**(-5/2)*(o/(o/(o/o**(2/5))))/(o*o/o**(5/4))*o**(-5)/o*o**(-1/9) assuming o is positive.
o**(-5627/180)
Simplify (t**7/(t*t/(t/(t/(t*t**(-1/9)))*t)*t))/(t/t**(-3/7)*t*(t**(2/7)*t)/t)*(t**(-2/23)/t*t**(-8))/(t/(t/t**(2/3)))**29 assuming t is positive.
t**(-36581/1449)
Simplify (((f/(f/(f**(1/3)/f)))/f)**(1/37)*f*f*f**6*f*f*f*f**(-1/9))/(f*f*f**(-12)*f/(f*f*f/f**(10/9)*f*f*f)*f*f)**(-1) assuming f is positive.
f**(-116/111)
Simplify (v**(12/7)*v*v**(-2)*v)/(v**(2/63)*v**11) assuming v is positive.
v**(-587/63)
Simplify ((v*v*v**(-5)/v)**(1/90)/((v**(1/16)/v)/(v*v*v**(-29)*v)))**(-7/6) assuming v is positive.
v**(126539/4320)
Simplify (u**(-4/3)*u/(u*u*u*u**(3/5)*u)*(u**(1/7))**(-49))**42 assuming u is positive.
u**(-2506/5)
Simplify (a**(-9)*a**(1/3)*(a**(-1)/a)/(a**(-5)*a))**34 assuming a is positive.
a**(-680/3)
Simplify ((((l/l**(-4))/(l/(l*l/(l/(l/l**(3/4))))*l))/(((l*l**(-1/2))/l)/l)**(18/5))**(-5/7))**(-38) assuming l is positive.
l**(3667/14)
Simplify ((r**(4/7)*r)/((r*r**(-5))/r))**35*(r**0)**25*r**(-3)*r*r**3/r assuming r is positive.
r**230
Simplify ((g*g**(1/5)/g*g)/((g/(g*g*g**(-1/8)*g))/g*g))/(g**(-1/3))**(-1/36)*((g**1)**20)**25 assuming g is positive.
g**(543311/1080)
Simplify (d**(2/15)/d*d*d*d*d**(2/3)*d*d)**(3/7)*(d*d**(1/4)*d)/d*d**2*d*d*d**(-3)*(d/d**(-1))/d*d*d assuming d is positive.
d**(1023/140)
Simplify ((g**11*g**(2/7))/((g/(g/(g*g*g*g/(g/g**(-4/7)))))/g*g**(2/9)))**(-35) assuming g is positive.
g**(-3035/9)
Simplify (((h**1/h)**(3/38)/(h*(h/h**(-9))/h*h/h**(-2)*h))**(-46))**(12/11) assuming h is positive.
h**(7728/11)
Simplify (v**(-1))**25/(v**1)**37*((v/v**(-1/2))/v*v*v)**32/((((v*v**(2/13))/v)/v)/v**4) assuming v is positive.
v**(297/13)
Simplify (q**(-1/3))**(-36)*(q**(1/3)*q)/((q/q**(2/21))/q)*(((q**(1/2)*q)/q)/(q**(-2/7)/q*q))/((q**(-1/3)/q)/q)**(-1/18) assuming q is positive.
q**(2662/189)
Simplify (w**(1/5)*w/w**4*((w/w**3)/w)/w*w*w**2/w*w)/((w**(1/2))**(-34)*(w**(1/3)/w)**18) assuming w is positive.
w**(126/5)
Simplify (h*h**8/h)/(h/h**(-15))*(h/(h/(h/(h/h**(2/13)*h)*h*h))*h)**(1/21) assuming h is positive.
h**(-308/39)
Simplify ((s/((s/(s**(-1)*s))/s))**7)**(-1/11)*((s/s**2)**(6/25))**(-40) assuming s is positive.
s**(493/55)
Simplify ((m**7*(m/m**(1/12))/m)/(m**(-2/11)/((m/(m/m**(1/2)))/m*m)))/(((m*m**1*m*m)/(m/(m*m**(4/7))))/((m/(m**1/m))/m*m**2*m)) assuming m is positive.
m**(5569/924)
Simplify (n**0)**36*n/n**(-1)*(n*n**(-5)*n)/n*(n**(1/5)/(n/(n*n**6)))/((n*n**(-2/5)*n*n)/(n**(1/5)*n)) assuming n is positive.
n**(14/5)
Simplify (z**14)**(-43)*(z/z**(1/16))/z*z**(-4/21) assuming z is positive.
z**(-202357/336)
Simplify (t/t**(2/7)*t*t**(1/3))**34*(t**(1/4)*t*t**0)**(-1/2) assuming t is positive.
t**(11591/168)
Simplify ((s/s**(-6))/s**5*(s*s**(-1)*s*s*s)**(-29))/(s*s**(2/17)/s*s*s**(-2/15))**(1/14) assuming s is positive.
s**(-303701/3570)
Simplify ((r**(-2/3))**(-36))**(8/5)*r**(-1/4)*r*r/r**(-4)*((r/(r*r**(-2/13)*r*r))/r)/r**(-6) assuming r is positive.
r**(12299/260)
Simplify (((g/(g**(-1/8)/g))/g*g**(1/6))/((g*g**(-2/15))/g)**29)**(5/9) assuming g is positive.
g**(619/216)
Simplify (((h/(h/((h**(14/3)/h)/h)))/((h*h/h**(3/20))/h))/((h/(h*h**(-2/3))*h*h*h)/h*h**(1/6)/h))**(-26) assuming h is positive.
h**(13/30)
Simplify (c/(c**(-1/3)*c))**(-2/111)*(c**(1/4)*c)/c*c**(-1)/c*((c**(-2)*c)**(-37))**16 assuming c is positive.
c**(786205/1332)
Simplify ((o*o/(o/(o*o/(((o*o**(-13))/o)/o)))*o**(2/13)*o)/(o**(2/27)*o**(14/3)/o))**(-38) assuming o is positive.
o**(-192242/351)
Simplify i**(-1/2)/(i**(2/19)*i*i)*((i*i/i**(-4/5))/i)/(i/(i/((i/(i*i**(2/5)))/i)))*i*i**(2/15)*i*i*i/i**(-1)*i**(1/2)*i/(i*i*i*i**(-3)) assuming i is positive.
i**(412/57)
Simplify ((y*y**(-2/7))/(y/(y/(y**(-6)/y*y))))**(-34/3)/(y*y*((y**(-1)*y)/y)/y*y*(y*y**(-2/3))/y*(y**1)**(-1/6)) assuming y is positive.
y**(-3203/42)
Simplify (((h**(2/13)/h)/h)/h)/h**(-3)*(h**(2/3))**(2/145)*(h**(-9)*h**11)**31 assuming h is positive.
h**(351532/5655)
Simplify ((x**1)**(-3/4)/(x*x**(1/2))**(-37))/((x**(2/3)*x)**42)**(2/119) assuming x is positive.
x**(3643/68)
Simplify (((p*p/((p*p**(7/5))/p)*p**(2/9))**(-10/7))**46)**8 assuming p is positive.
p**(-27232/63)
Simplify (o**(-8)*o*o*o**(-11)*o**(-19)/(o*o/(o/(o/(o*o**(-2/3)*o)))))**2 assuming o is positive.
o**(-220/3)
Simplify ((o**(-1/2))**30/(o**8/(o*o/o**4)))/(o**(1/11)*o/o**8*(o**0)**(6/17)) assuming o is positive.
o**(-199/11)
Simplify ((n*(n/((((n**(-4/5)*n)/n)/n)/n)*n)/n*n)/(n*n/(n*n**(4/11))))/((n**0/n)/(n**(-40)*n*n*n)) assuming n is positive.
n**(-1696/55)
Simplify ((w**8/w)/w*w**(-6/11)*w*w**6*w**(2/7))/((w*w*w**(-14))/w**(-1/3))**(-2/15) assuming w is positive.
w**(7751/693)
Simplify ((o**0)**18)**(-39)/((((o*o**2)/o*o)/o)**(16/3))**(3/11) assuming o is positive.
o**(-32/11)
Simplify ((w**(3/2)*w*w**(3/5)*w**9/w*w**(4/7))**(-23/3))**(4/35) assuming w is positive.
w**(-37582/3675)
Simplify ((i*(i/i**(3/8))/i)/i*i**(-4)/i*i**(1/2)/(i/i**(-5)*i))/((i/(i**(-2)*i))**(-11))**(7/6) assuming i is positive.
i**(331/24)
Simplify ((z*z**(4/5))/(z**7*z))**(5/11)*(z**10*z*z*z/z**8)**5 assuming z is positive.
z**(244/11)
Simplify (c**(-1))**(-3/5)/(c*c/((c/(c/((c*c/c**(-1))/c*c)))/c*c))**(-14)*(c**(1/3)/((c/(c**(-3)/c))/c))/(c*c**(-2/23)*c*c/c**5) assuming c is positive.
c**(-5168/345)
Simplify ((q*q/q**(-2/9))**(4/7)/(q**(-2/21)/q)**(-31))**39 assuming q is positive.
q**(-26767/21)
Simplify ((g**14/(g*g**3))/(g**24/((g/(g/(g*g*g/(g/((g**6*g)/g*g)*g))))/g)))**(23/4) assuming g is positive.
g**(-161/4)
Simplify ((g**4/(g/g**(-6)))/(((g**(1/2)/g*g)/g)/g)**(-1/23))/(((g/(g*g*g*g**(2/11)))/g)**9)**(-19) assuming g is positive.
g**(-276861/506)
Simplify (((j**(-2/11)*j**(2/33)*j)**(-50))**(1/37))**(-21/4) assuming j is positive.
j**(5075/814)
Simplify (((y/(y/(y/(y*y**6*y)))*y/((y*y**(-6))/y))**(-3/5))**8)**(-2/23) assuming y is positive.
1
Simplify g**1*g**(-1/2)*g*(g/(g/((g/g**(-1))/g)))**(2/51)*(g**(-1))**43/(g**(1/4)*g*g*g**(6/11)*g) assuming g is positive.
g**(-101555/2244)
Simplify ((t/(t*(t*t*t/t**18*t)/t)*t*t)/(t*t/t**17)*((t/t**(-1/13)*t)/t)/t*t**(10/9))**(12/7) assuming t is positive.
t**(15
|
{
"pile_set_name": "DM Mathematics"
}
|
What are the prime factors of 1421936?
2, 181, 491
List the prime factors of 13862881.
13862881
What are the prime factors of 818712?
2, 3, 83, 137
What are the prime factors of 19243058?
2, 1091, 8819
What are the prime factors of 1187222?
2, 277, 2143
What are the prime factors of 3675196?
2, 7, 17, 1103
What are the prime factors of 3207341?
3207341
What are the prime factors of 12784883?
101, 126583
What are the prime factors of 194696?
2, 24337
List the prime factors of 11655467.
11655467
List the prime factors of 14471063.
17, 851239
List the prime factors of 146607.
3, 48869
List the prime factors of 913896.
2, 3, 4231
List the prime factors of 261913.
43, 6091
List the prime factors of 521476.
2, 130369
What are the prime factors of 1661676?
2, 3, 59, 2347
What are the prime factors of 4460756?
2, 1115189
What are the prime factors of 28126816?
2, 43, 20441
List the prime factors of 7721606.
2, 23, 167861
What are the prime factors of 29913078?
2, 3, 13, 31, 89, 139
List the prime factors of 754883.
23, 1427
List the prime factors of 405388.
2, 101347
List the prime factors of 4220748.
2, 3, 7, 1861
What are the prime factors of 1575637?
7, 31, 53, 137
List the prime factors of 102353.
19, 5387
What are the prime factors of 1750170?
2, 3, 5, 227, 257
What are the prime factors of 1253960?
2, 5, 23, 29, 47
List the prime factors of 18719639.
3637, 5147
List the prime factors of 305062.
2, 152531
List the prime factors of 5264657.
5264657
What are the prime factors of 246895?
5, 11, 67
What are the prime factors of 1010413?
23, 197, 223
What are the prime factors of 3396455?
5, 47, 97, 149
What are the prime factors of 198398?
2, 19, 23, 227
List the prime factors of 28098169.
11, 19, 233, 577
What are the prime factors of 3232370?
2, 5, 31, 10427
List the prime factors of 356085.
3, 5, 41, 193
What are the prime factors of 3364185?
3, 5, 11, 20389
List the prime factors of 24209610.
2, 3, 5, 19, 42473
List the prime factors of 170407.
23, 31, 239
What are the prime factors of 301477?
11, 27407
What are the prime factors of 1786722?
2, 3, 7, 19, 2239
What are the prime factors of 378113?
103, 3671
What are the prime factors of 242286?
2, 3, 11, 3671
What are the prime factors of 782455?
5, 156491
List the prime factors of 7280431.
1013, 7187
What are the prime factors of 997015?
5, 199403
What are the prime factors of 804898?
2, 37, 73, 149
List the prime factors of 157723.
109, 1447
What are the prime factors of 514828?
2, 17, 67, 113
List the prime factors of 150306.
2, 3, 13, 41, 47
List the prime factors of 2742764.
2, 19, 151, 239
List the prime factors of 1049501.
43, 24407
List the prime factors of 641797.
13, 49369
List the prime factors of 2666511.
3, 296279
List the prime factors of 5068261.
11, 17, 27103
List the prime factors of 1226789.
1226789
List the prime factors of 3724864.
2, 11, 13, 37
What are the prime factors of 108478?
2, 73, 743
List the prime factors of 24162.
2, 3, 4027
What are the prime factors of 7911753?
3, 2637251
What are the prime factors of 275350?
2, 5, 5507
What are the prime factors of 1987946?
2, 17, 59, 991
List the prime factors of 2247978.
2, 3, 17, 22039
What are the prime factors of 29693?
23, 1291
What are the prime factors of 8051862?
2, 3, 7, 13, 14747
List the prime factors of 165575.
5, 37, 179
List the prime factors of 436883.
17, 31, 829
List the prime factors of 129945.
3, 5, 8663
List the prime factors of 21426015.
3, 5, 13, 19, 5783
What are the prime factors of 7505382?
2, 3, 587, 2131
List the prime factors of 12016721.
19, 632459
List the prime factors of 2096472.
2, 3, 7, 12479
List the prime factors of 340152.
2, 3, 14173
What are the prime factors of 358700?
2, 5, 17, 211
List the prime factors of 5168157.
3, 1722719
List the prime factors of 21695616.
2, 3, 37, 509
What are the prime factors of 3414986?
2, 991, 1723
List the prime factors of 4036.
2, 1009
What are the prime factors of 188417?
188417
List the prime factors of 183974.
2, 7, 17, 773
List the prime factors of 114476.
2, 28619
List the prime factors of 4989840.
2, 3, 5, 17, 1223
List the prime factors of 4197611.
11, 113, 307
What are the prime factors of 712671?
3, 19, 12503
List the prime factors of 2745855.
3, 5, 7, 23, 379
List the prime factors of 17518850.
2, 5, 350377
List the prime factors of 4491114.
2, 3, 29, 53, 487
What are the prime factors of 80881?
29, 2789
List the prime factors of 13348344.
2, 3, 556181
List the prime factors of 22021680.
2, 3, 5, 91757
List the prime factors of 3219809.
181, 17789
What are the prime factors of 1422684?
2, 3, 4391
What are the prime factors of 1755546?
2, 3, 13, 71, 317
What are the prime factors of 337971?
3, 112657
List the prime factors of 72117.
3, 2671
What are the prime factors of 830338?
2, 19, 21851
What are the prime factors of 594299?
594299
List the prime factors of 535303.
535303
List the prime factors of 76474.
2, 38237
List the prime factors of 26609.
11, 41, 59
What are the prime factors of 873201?
3, 7, 43, 967
What are the prime factors of 387898?
2, 7, 103, 269
List the prime factors of 19390983.
3, 6463661
List the prime factors of 1453491.
3, 13, 41, 101
What are the prime factors of 495817?
7, 193, 367
List the prime factors of 92177.
92177
List the prime factors of 25157201.
271, 92831
List the prime factors of 5541.
3, 1847
List the prime factors of 5215372.
2, 37, 131, 269
List the prime factors of 2755598.
2, 17, 81047
List the prime factors of 142220.
2, 5, 13, 547
What are the prime factors of 158826?
2, 3, 103, 257
What are the prime factors of 581676?
2, 3, 48473
List the prime factors of 1591158.
2, 3, 265193
What are the prime factors of 901921?
283, 3187
List the prime factors of 14367210.
2, 3, 5, 11, 13, 17, 197
List the prime factors of 161761.
161761
What are the prime factors of 3431964?
2, 3, 285997
What are the prime factors of 759255?
3, 5, 7, 1033
What are the prime factors of 23498254?
2, 13, 373, 2423
List the prime factors of 147209.
147209
List the prime factors of 174316.
2, 43579
List the prime factors of 8858493.
3, 7, 140611
List the prime factors of 133358.
2, 131, 509
List the prime factors of 288510.
2, 3, 5, 59, 163
List the prime factors of 23353555.
5, 29, 161059
List the prime factors of 863878.
2, 59, 7321
List the prime factors of 32429135.
5, 109, 157, 379
What are the prime factors of 283611?
3, 17, 67, 83
List the prime factors of 1441844.
2, 360461
List the prime factors of 2142469.
7, 421, 727
List the prime factors of 58128.
2, 3, 7, 173
What are the prime factors of 1561858?
2, 17, 71, 647
List the prime factors of 5027060.
2, 5, 251353
What are the prime factors of 1670830?
2, 5, 7, 23869
What are the prime factors of 74612?
2, 23, 811
What are the prime factors of 822496?
2, 25703
List the prime factors of 4455156.
2, 3, 17, 21839
What are the prime factors of 13663847?
113, 120919
What are the prime factors of 13964991?
3, 421, 11057
List the prime factors of 636206.
2, 318103
List the prime factors of 1292337.
3, 143593
List the prime factors of 1209748.
2, 167, 1811
List the prime factors of 1440539.
31, 1499
What are the prime factors of 500813?
131, 3823
List the prime factors of 1021908.
2, 3, 85159
What are the prime factors of 80695?
5, 16139
List the prime factors of 13643373.
3, 4547791
List the prime factors of 1290175.
5, 51607
List the prime factors of 2273821.
11, 421, 491
List the prime factors of 856699.
856699
What are the prime factors of 210144?
2, 3, 11, 199
List the prime factors of 1931854.
2, 965927
List the prime factors of 1486720.
2, 5, 23, 101
List the prime factors of 1560894.
2, 3, 157, 1657
List the prime factors of 7948690.
2, 5, 17, 46757
List the prime factors of 1711910.
2, 5, 193, 887
List the prime factors of 806781.
3, 268927
What are the prime factors of 311372?
2, 17, 19, 241
List the prime factors of 239465.
5, 47, 1019
List the prime factors of 84355.
5, 16871
What are the prime factors of 202578?
2, 3, 19, 1777
What are the prime factors of 164201?
164201
What are the prime factors of 205660?
2, 5, 7, 13, 113
What are the prime factors of 2175826?
2, 401, 2713
What are the prime factors of 1429774?
2, 714887
List the prime factors of 3548432.
2, 463, 47
|
{
"pile_set_name": "DM Mathematics"
}
|
alculate the remainder when 108 is divided by a/(-286) - i/(-13).
34
Suppose 0 = -3*m + 3*a + 1092, -3*m - 6*a = -7*a - 1104. Calculate the remainder when m is divided by 56.
34
Suppose -16*v + 1269 + 587 = 0. What is the remainder when 118 is divided by v?
2
Let m = 18 + -9. Calculate the remainder when 81 + (2 + 1 + -2)*8/(-4) is divided by m.
7
Let n = -19 - -23. Suppose 5*r - 2*l - 565 = -34, 12 = -n*l. Suppose r = -2*a + 7*a. What is the remainder when 60 is divided by a?
18
Suppose 60*i = -11*i + 34151 + 14839. What is the remainder when i is divided by 3?
0
Suppose 13*s - 102 = 457. Calculate the remainder when 2450 is divided by s.
42
Let r = -79 + 50. Let l = -10 + r. Let y = l + 44. Calculate the remainder when 16 is divided by y.
1
Let z = -9640 - -10415. Calculate the remainder when z is divided by 11.
5
Let y = -205 + 211. Let l(w) = w**2 - 17. Calculate the remainder when 59 is divided by l(y).
2
Let l = -5 + 9. What is the remainder when (14/l)/(-3 - (-230)/76) is divided by 9?
7
Let u(t) = -14*t + 127. What is the remainder when 65 is divided by u(8)?
5
Suppose x + 16*p - 17*p - 2644 = 0, -4*p - 5288 = -2*x. What is the remainder when x is divided by 27?
25
Suppose 2*n + 7 = v + 3, -2*n = -5*v + 60. Let g = v + -12. Suppose 0 = -d - g*d + 84. Calculate the remainder when d is divided by 10.
8
Let w = -43 - -31. Let l be 8/w + (-4)/(36/93). Let p = 23 + l. Calculate the remainder when 44 is divided by p.
8
Let a = -20 - -20. Suppose 2*o - 2 + 4 = a. Let y(k) = k**3 + 3*k**2 + k. What is the remainder when 1 is divided by y(o)?
0
Let x(g) = -43 + 14 - 53*g + 7 + 11. Suppose -2*m + 96 = 2*m. What is the remainder when x(-2) is divided by m?
23
Let n be 549*16/(-36)*3. Let f be 12/(-42) - n/14. Let g = f - 34. Calculate the remainder when g is divided by 10.
8
Calculate the remainder when ((-5454)/216)/((-1)/8*2) is divided by -10*(4 - 264/60).
1
Let m(s) = -s**3 + 8*s**2 + 5*s + 7. Let h be m(8). Suppose 0 = h*l - 45*l - 16. What is the remainder when (41/2)/(4/l) is divided by 6?
5
Let r(b) = 178*b - 7. Let u be r(2). Let l be 6/27 - (u/(-9) + -1). Let o = -27 + l. What is the remainder when 22 is divided by o?
9
Let z(k) = 3*k**2 - 29*k + 47. Let x(b) = -b**2 + 15*b - 23. Let m(u) = -5*x(u) - 2*z(u). Calculate the remainder when m(-15) is divided by 11.
7
Calculate the remainder when 1/(-5) + (2 + 56084/60)*3 is divided by 148.
146
Let m = -151 + 291. Let k(b) = b**3 - 7*b**2 - 38*b + 276. Calculate the remainder when m is divided by k(8).
32
Let x be (1242/(-9))/(-6) - (1 + 1). Suppose x*u + 528 = 33*u. Calculate the remainder when 262 is divided by u.
42
Suppose 0 = 3*v + 5*p - 1683, -242 = -2*v - 2*p + 884. What is the remainder when v is divided by 192?
182
Let s(x) = 2*x**2 - 68*x + 3. Let k be s(35). Suppose -3*q - 2*r + r + k = 0, 100 = 4*q + 2*r. Calculate the remainder when q is divided by 10.
3
Suppose b + 9*m - 41 = 5*m, -3*b + 63 = -3*m. Suppose 2551 = b*z - 5024. Calculate the remainder when z is divided by 79.
66
Let i = -17 - -20. Suppose 0 = -7*c + 9*c - 44. What is the remainder when 136/c + (-10)/55 is divided by i?
0
Let p(v) = -v**3 - 4*v**2 + 20*v - 31. What is the remainder when p(-13) is divided by 44?
42
Suppose -692 = -10*h + 88. Let y = h + -74. Suppose 3*s + 6*r - 2*r = 267, 0 = -y*s - 4*r + 352. Calculate the remainder when s is divided by 11.
8
Suppose 2*p - 4*i = -10, -4*i + 13 = -22*p + 21*p. What is the remainder when 218 is divided by p - (-96 - 1 - 6/3)?
14
Suppose 252*o - 28239 - 2757 = 0. Calculate the remainder when 3071 is divided by o.
119
Let n = 10714 + -10611. Calculate the remainder when n is divided by 44.
15
Suppose 0 = -204*b - 86*b + 64739 - 8769. Calculate the remainder when b is divided by 33.
28
Let b = 17 - 7. Suppose -5*i = -4*n - 134, -i - 2*n - 54 = -3*i. Suppose g - c - 9 = 0, i = 2*g - 2*c - 2*c. What is the remainder when b is divided by g?
0
Let p(g) = 151*g**3 + 2*g**2 + 6*g - 9. Calculate the remainder when p(2) is divided by 75.
19
Suppose 3*d - c = 165, -275 = -d - 4*d - 3*c. Suppose 67*f - 7938 = 4*f. What is the remainder when f is divided by d?
16
Calculate the remainder when (14 + 7/(-21)*51)*2316/(-2) is divided by 19.
16
Suppose 0 = -4*l + 3*z - 7*z + 1048, 0 = 4*l + 2*z - 1046. What is the remainder when l is divided by 76?
33
Suppose 12 = 2*x - 2. Let l be 2016/(-1)*(-1)/6*-4. Calculate the remainder when l/(-132) - 4/22 is divided by x.
3
Let x be 1 + 555 - 0/((-10)/(-5)). Let p be (x/(-6))/(10/6 + -1). Let l = -92 - p. Calculate the remainder when l is divided by 12.
11
Let h(z) be the first derivative of -z**4/4 + 2*z**3 - 3*z**2/2 + 7*z + 5. Suppose 4*g + 3657 = 27*g. Calculate the remainder when g is divided by h(4).
24
Let j = 252 + -362. Let t = -89 - j. Calculate the remainder when 50 is divided by t.
8
Suppose 0 = 2268*g - 2264*g - 12468. What is the remainder when g is divided by 78?
75
Calculate the remainder when (-299 + -4)/((-4)/(5 + -1)) is divided by 74.
7
Let n = 1635 - 1462. Calculate the remainder when 860 is divided by n.
168
Let u(j) = 3*j**3 - 5*j**2 + 7*j - 1. Let t be u(3). Suppose -2*f + 25 - 1 = 2*w, -4*w + t = -4*f. Calculate the remainder when 127 is divided by w.
10
Suppose -17*x = -14*x - 168. Let v = 7 - 6. What is the remainder when x is divided by 1 + (-11)/(-1)*v?
8
Let z(h) = -4*h + 3. Let i be z(-10). Suppose -7*y - i = -8*y. Let w(m) = 6*m**3 + 10*m**2 - 27*m. Calculate the remainder when w(3) is divided by y.
42
Let o = -5510 + 5568. What is the remainder when 263 is divided by o?
31
Let p(j) = j**3 + 6*j**2 - 10*j - 13. Let v be p(-8). Let r = -55 - v. Calculate the remainder when (0 - 3) + 408/r is divided by 11.
10
Let i(y) = 27*y - 1189. Let v(k) = -9*k + 396. Let g(f) = -4*i(f) - 11*v(f). Suppose -l + 3*l = 556. What is the remainder when l is divided by g(40)?
38
Let h be 129/1*2/6. Suppose -15*q = -7*q - 120. Suppose y - l = h, q + 22 = y - 4*l. What is the remainder when y is divided by 16?
13
Let h = 81 - 55. Let d = h - 23. Suppose l + m - 1 = 20, -2*m = -d*l + 58. What is the remainder when 78 is divided by l?
18
Let d(h) = 34*h + 3. Let c be d(1). Let j be (c/3*1)/((-3)/(-9)). Suppose -j - 43 = -2*o. Calculate the remainder when o is divided by 11.
7
Let g = -4025 + 4044. What is the remainder when 59 is divided by g?
2
Let d = 1052 - -2723. What is the remainder when d is divided by 16?
15
Suppose -23*d = -43551 - 8620 - 62760. What is the remainder when d is divided by 25?
22
Let a(t) = 4*t**3 - 27*t**2 + 3*t + 12. Calculate the remainder when 895 is divided by a(7).
75
Let v = -21289 + 22818. Calculate the remainder when v is divided by 219.
215
Suppose -241*c = -243*c + 56. Calculate the remainder when (-3)/(-1) + (203 - 12) is divided by c.
26
Suppose 5*f - 6*f + 718 = -3*g, -4*f - 2*g = -2900. Let k = f - 663. Calculate the remainder when 119 is divided by k.
58
Let w = 274 + -579. Let a = -289 - w. What is the remainder when 138 is divided by a?
10
Let f be (6/(-8))/(((-49)/(-896))/(-7)). What is the remainder when 39/(-1 + 4/(f/42)) is divided by 6?
4
Let v = 2484 - 2421. Calculate the remainder when 285 is divided by v.
33
Calculate the remainder when 247 is divided by 99 + 5/((-20)/(-16)) - (15 - 18).
35
Let s(x) = -21*x**3 - x**2 + 2*x + 8. Let t(l) = -22*l**3 - l**2 + 2*l + 7. Let r(o) = -3*s(o) + 4*t(o). Calculate the remainder when 109 is divided by r(-1).
5
Suppose -5*x + 4*h = -1319, -35 + 37 = -2*h. Suppose y - 2*w - 59 + 5 = 0, -y = w - 39. Calculate the remainder when x is divided by y.
43
Let l = -1 + -10. Let b = 8 - l. Suppose -12*a = -558 - 78. Calculate the remainder when a is divided by b.
15
Let d = -4005 + 4102. Calculate the remainder when 269 is divided by d.
75
Suppose -2*j + 9*j = 511. Suppose -199 = 2*b + 2*b - 3*r, -196 = 4*b - 4*r. Let o = b + j. Calculate the remainder when o is divided by 5.
1
Let u(x) = 2*x**2 + 16*x - 9. Calculate the remainder when (-14)/63 - 2*137/(-18) is divided by u(-9).
6
Suppose 4*m + 16985 = 17341. What is the remainder when m is divided by (2 - (-6)/(-4))*74?
15
Let f = -8 + 10. Suppose 0 = w - 0 - f. Suppose 12 = a + 2*s, w*a + 5*s + 4 - 25 = 0. What is the remainder when 62 is divided by a?
8
Let y(f) be the second derivative of 7*f**3/6 - 7
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 1. Let d be ((-6)/2)/(11 + -14). Give y(d).
6
Let v(d) be the third derivative of d**5/12 + d**4/24 - d**3/6 - 8*d**2 - 18*d. Let z be -1 + -1 - (3 + -9). Suppose 3*c + c = z. Give v(c).
5
Let o(n) = 11*n**3 - 21*n**2 + 27*n - 22. Let i(d) = 3*d**3 - 7*d**2 + 9*d - 7. Let s(g) = -7*i(g) + 2*o(g). Give s(-8).
13
Let k(b) = 16*b**2 + 8*b + 5. Let h(j) = -32*j**2 - 17*j - 11. Let w(g) = 6*h(g) + 13*k(g). Give w(1).
17
Let b(p) = -3*p - 4. Let v = -338 - -333. Determine b(v).
11
Let s(d) be the second derivative of -2*d**3 + 3*d + d**3 + 2*d**3. Suppose k + 9 = 10*k. What is s(k)?
6
Let o be 6/10 + 304/(-40). Let v(h) = h**2 + 7*h. Calculate v(o).
0
Let l(a) = -a**2 + 4*a - 3. Let r be 100/(-125) - 418/(-10). Let k = -39 + r. Give l(k).
1
Let o(f) be the second derivative of f**8/6720 - f**7/2520 - f**6/360 + f**5/40 - 7*f**4/6 - 23*f. Let y(l) be the third derivative of o(l). Determine y(2).
3
Suppose -18*z + 112 = -122. Let w(s) = s - 18. Determine w(z).
-5
Let j(f) = f**2 - 7*f + 1. Let q(d) = d**2 - 7*d + 1. Let i(l) = -4*j(l) + 3*q(l). Suppose -5*y + 5*m = -65, 103*m - 33 = 3*y + 109*m. Calculate i(y).
9
Let m(b) = 3*b + 4. Let n be 2*((-84)/(-8) + -8). Determine m(n).
19
Let g(w) = -5*w - w**2 + 0*w**2 + 7*w**2 - 5*w**2 - 7 - 6. Calculate g(6).
-7
Let g(q) = 4*q**2 - 5*q + 5. Let a(d) = d**2 + 2. Let j(x) = -2*a(x) + g(x). Calculate j(2).
-1
Suppose -43 = 18*h + 5 + 24. Let w(i) = 4*i**2 + 2*i + 3. Let c(v) = -3*v**2 - 2*v - 3. Let t(k) = -3*c(k) - 2*w(k). Determine t(h).
11
Let b(v) = 4*v - 12*v + 12 - 2 + 6*v. Suppose -5*l + 35 = 3*y, 2*y + 28 = 4*l + 5*y. What is b(l)?
-4
Let j(q) be the third derivative of q**6/120 + q**5/10 - 5*q**4/24 - 2*q**3/3 - 6*q**2. Let n(m) = -6*m + 23. Let o be n(5). Calculate j(o).
-18
Let a(b) be the second derivative of -1/3*b**3 + b**2 + 0 + 17*b - 1/3*b**4. Calculate a(-2).
-10
Let h(i) = -2*i**2 - 2 - 1 - 5*i + i**2. Suppose 22 = 3*w + w - m, -2*w - 4*m = -20. Suppose 21*o - w = 24*o. Calculate h(o).
3
Let z(c) = -c + 4. Suppose 3*f + 3 = 12. Calculate z(f).
1
Let p be (-70)/(-49) + -2 - 48/14. Let z(o) = o**2 + 2*o + 4. Determine z(p).
12
Let g(a) = -a**2 + a + 2. Suppose 3*t - 15 = -2*d, 4*d + 12*t = 16*t. What is g(d)?
-4
Let g(m) = 8*m - 1. Let h(u) = -u**3 + 25*u**2 - 25*u + 22. Let y be h(24). What is g(y)?
-17
Let a(z) = z**3 + 9*z**2 + 7*z. Let b(t) = -t**2 - 7*t - 18. Let q be b(-2). Give a(q).
8
Let i(g) = -14*g**3 - 8*g**2 - 7*g + 10. Let n(y) = 3*y**3 + y**2 - 1. Let o(q) = i(q) + 5*n(q). Give o(4).
-7
Suppose 0*k = 2*k - 4. Let w(d) = -46*d - 36. Let v(m) = -16*m - 13. Let g(b) = 14*v(b) - 5*w(b). What is g(k)?
10
Let c(t) = -1972 + 3928 - t - 1976. Give c(-11).
-9
Suppose -5*b + 9*b - 3*r + 41 = 0, -2*b = 5*r + 27. Let u(m) = m**2 + 12*m - 11. What is u(b)?
-22
Let t(u) be the first derivative of u**2/2 - 2*u - 89. Calculate t(-5).
-7
Let h(t) = 13*t - 1. Let y(o) = -50 + 4*o - 2*o + 50. Let p(v) = h(v) - 6*y(v). Let w = -1 - 0. Calculate p(w).
-2
Suppose 0 = -5*z - 7 - 13. Let h be (-282)/(-26) - z/26. Let w = h + -8. Let u(v) = v**2 - v + 2. What is u(w)?
8
Suppose 0 = -5*k + s + s + 111, 27 = k + 2*s. Let r = 27 - k. Let t(g) = -g**2 + 3*g - 3. What is t(r)?
-7
Let y(m) = m**2 + 7*m. Let r be (15/(-9))/((-7)/21). Suppose 2*t - 2 = 8. Suppose t*q - r = -35. Determine y(q).
-6
Let q(m) = -m**2 - 2*m - 3. Suppose 166 = 5*d - 184. Let o be (6/(-4))/((-5)/d). Let f be (-56)/o + 2/3. Calculate q(f).
-3
Let j(w) = 5*w + 48. Let g be j(-9). Let x(v) = -v + 5. Let f(s) = s - 6. Let r(l) = 5*f(l) + 6*x(l). Determine r(g).
-3
Let g(h) be the first derivative of 2*h**3/3 + h**2 + h - 25. Let n = 1 + -2. Let u(z) = -z**3 + z. Let d(j) = n*g(j) + 2*u(j). What is d(-2)?
7
Let x(h) be the first derivative of h**2/2 + 11*h - 143. Suppose 24 = 3*w + c, -16 = -2*w - 2*c - 2*c. Let i = w + -14. Calculate x(i).
5
Let q(w) be the third derivative of -w**7/420 - w**6/360 + w**5/120 + w**4/24 - 5*w**3/2 - 6*w**2. Let o(x) be the first derivative of q(x). Determine o(2).
-17
Let n(g) be the third derivative of -g**5/60 + 2*g**4/3 - g**3/2 - 10*g**2. Let c be n(15). Let t(u) = 7*u + 10*u + 5 - 23*u + c*u. Determine t(-4).
-19
Let j(q) = -q**2 - 10*q. Let u be ((-4)/(-1))/(((-72)/(-45))/(-4)). Calculate j(u).
0
Let j(y) = -y**2 - 1. Let b be j(-1). Let m be 18/72 + b/8. Let u(v) be the second derivative of v**4/12 - v**3/6 - 7*v**2 - 2*v. Determine u(m).
-14
Let r be (11/(33/2))/((-2)/(-24)). Let z(j) = -r - 4 + 5 - 5 + j. Determine z(6).
-6
Let o(i) = -7*i + 1. Let v = -18 + 18. Suppose v = 6*t + 6 + 6. Determine o(t).
15
Suppose -f + 5 = 4*f. Let o(q) be the second derivative of 9/20*q**5 + 0*q**2 + 10*q + 1/12*q**4 + 0 - 1/6*q**3. What is o(f)?
9
Let t be 2/(-5) - (-17)/5. Let g(k) = -2*k**2 + 5*k - 2. Give g(t).
-5
Let b = 24 - 20. Let h(a) = 3*a + 1 - b + 0 - 5*a. Calculate h(6).
-15
Let n(y) be the second derivative of y**5/10 + 5*y**4/12 + 2*y**3/3 + 2*y**2 - y + 5. What is n(-3)?
-17
Let x(t) = -t**2 + 4*t + 8. Let c be x(5). Suppose 3*z - 30 = -3*l - 2*l, -5*l + c*z = -30. Let y(r) = r**2 - 5*r - 5. Determine y(l).
1
Let s(i) = -i**2 - 3*i + 6. Let p(g) = g**2 + 4*g - 7. Let v(w) = 5*p(w) + 6*s(w). Let u be 4/24 - 130/60. Give v(u).
-7
Let h(k) = -2*k**2 - 5*k + 9. Let o = -758 + 751. What is h(o)?
-54
Let q(m) = 2*m + 1 - m**2 + 3*m**2 + m. Let z be 1/(-2)*11/(33/(-60)). Suppose 10 = -2*x, 0 = -0*r + 5*r - 4*x - z. Calculate q(r).
3
Let h be 2/(-5*4/30). Let t(l) = 4 + 15*l + 16*l - 5*l**2 + l**3 - 34*l - 2*l**3. Give t(h).
-5
Suppose -2*k = 3 - 7. Suppose 0*f + x + 26 = k*f, 4*f - 40 = -x. Suppose -3*p = f - 2. Let j(o) = 2*o**2 + 4*o. What is j(p)?
6
Let t be (-5)/6*-15*2. Let f = t - 16. Let z(b) = 2 - 1 - 2 - b + f*b. What is z(-1)?
-9
Let n(z) be the second derivative of -z**4/12 + 3*z**3/2 + 5*z**2 - 114*z. What is n(10)?
0
Let x(b) = -b**3 + 5*b**2 - 4*b + 1. Let q be (-5)/40 - 17/(-8). Give x(q).
5
Let k(q) = -2*q**3 + 1 + 16*q**3 + q**2 + 336*q - 335*q. Calculate k(-1).
-13
Let k(m) = m**2 - 11*m - 3. Let i be k(8). Let t = 25 + i. Let l(v) be the third derivative of -v**6/120 - v**3/3 + v**2. Calculate l(t).
6
Let w be 1/(-4) - 55/(-44). Let b = w - -14. Let r(t) = b + 3*t - 14 - 7*t. Give r(1).
-3
Let m(r) be the third derivative of r**5/60 - 5*r**4/24 + 11*r**3/6 + 525*r**2. What is m(4)?
7
Let k(l) = l**2 + 5*l - 3. Let i be (-2)/(-13) + ((-575)/(-65) - 1). Suppose -i*n + 7*n + 3*w = 9, 3 = -n - 3*w. What is k(n)?
3
Let c = -47 + 68. Suppose 5*m = c - 6. Let y(s) be the second derivative of -s**3/6 + 3*s**2/2 + 206*s. Determine y(m).
0
Let b(w) be the first derivative of -37*w**2/2 - w + 12. Give b(1).
-38
Let l = -34 - -36. Let i(m) = 1 - m**l - 16*m + 19*m - m**2. Calculate i(3).
-8
Let g(q) = -6*q. Let a be 2/(-10) + (-602)/215. Give g(a).
18
Let x(a) = 54*a + 12. Let q(y) = 19*y + 4. Let c(m) = -17*q(m) + 6*x(m). Give c(-7).
-3
Let w(k) = k**2 - 2*k + 1. Let j(p) = -15*p**2 - 2*p + 1. Let d(g) = -j(g) + 2*w(g). What is d(1)?
16
Let z(d) = -d + 3. Let f(a) = -2*a + 20. Let o be f(0). Suppose -2*p - p = -h - o, -2*h - 25 = -3*p. What is z(h)?
8
Let x(n) = 3*n**2 - 2*n**2 + 7*n**3 + 2*n + 1 - 12*n**3. Suppose 0 = 5*l + 4 + 1. Calculate x(l).
5
Let k(z) = 15*z. Let g(i) = i + 19 + 15*i**2 + 7*i - 29*i**2 + 13*i**2. Let s be g(10). What is k(s)?
-15
Let b(j) be the first derivative of j**2/2 + 13*j - 291. Give b(-14).
-1
Let n = 62 - 50. Let g(a) = -n*a + 46 - 18 - 18 - 12. Determine g(-3).
34
Suppose 0 = -5*t + 2*d - 5, -4*d = t - 27 + 6. Let y = -90 - -84. Let i(w) = 11*w + 7. Let b(z) = -12*z - 8. Let n(h) = y*b(h) - 7*i(h). What is n(t)?
-6
Let o(u) = u**2 - 6*u - 4. Let a(t) = 2*t**2 - 10*t - 6. Suppose -5*x = -40 + 10. Let f be a(x). Calculate o(f).
-4
Suppose -5*k = 0, -5*l + 2*k + 17 = -63. Let u(d) = d**3 - 15*d**2 - 15*d + 14. What is u(l)?
30
Let j(r) be the first derivative of -r**4/4 + 2*r**3 + 5*r**2 - 9*r + 46. Calculate j(7).
12
Let w(p) be the third derivative of p**5/60 - p**4/2 + 11*p**3/3 - 10*p**2 + 6. Give w(9).
-5
Let b = -181 + 170. Let m(q) = q**3 + 11*q**2 + q - 3. Determine m(b).
-14
Let j(d) = 6*d - 30. Let a be j(5). Let l(t) = -3*t - 6. Determine l(a).
-6
Let c = 13 + -14. Let n(y) be the first derivative of -7*y**2 - y - 5. Determine n(c).
13
Let j(i) =
|
{
"pile_set_name": "DM Mathematics"
}
|
*d - 372 = -3*t, -2*t + 222 = -8*d + 11*d. Solve d*s + 55 + 335 = 0 for s.
-5
Suppose 556*n - 555*n - 122 = -5*j, -5*j + 162 = -4*n. Solve 0 = 6*x + 4*x + j*x for x.
0
Let o(h) = h**2 - 5*h + 11. Let b be o(13). Let i = 162 - b. Let l = i - 35. Solve l = -f - 2*f for f.
-4
Let c = -26 + 20. Let f(p) = -p**2 - 5*p + 10. Let v be f(c). Solve -v*q - 14 = 6 for q.
-5
Suppose 14*m - 45 = 2 - 5. Solve m*i + 4 - 10 = 0 for i.
2
Let s(j) = j**3 - 19*j**2 + 18*j + 2. Suppose 9*y - 155 = 7. Let q be s(y). Solve -c + 6 = q for c.
4
Let g(x) = 2*x + 32. Suppose 5*n - 2*t = -104 - 46, -4*n + t = 117. Let b = n - -13. Let m be g(b). Solve -m*u + 0 = -8 for u.
4
Suppose -5*o + 22 + 8 = 0. Let g be ((-4)/o)/(2/(-9)). Let t = 30050 + -30048. Solve t*y = -g*y for y.
0
Let i be ((13*1260)/(-14))/(2 - (7 - 3)). Solve -i*v = -579*v + 30 for v.
-5
Let p(a) = -52*a - 121. Let s be p(-6). Let u = s + -191. Suppose 6 = m - 0. Solve u = 3*z - m + 3 for z.
1
Let g be 17/3 + 5 + 3/9. Suppose 316 = g*v + 118. Solve 14*b - v*b - 4 = 0 for b.
-1
Let b = 22509 + -22481. Solve -b = 5*f - 13 for f.
-3
Let h = -576 - -891. Solve -16*q = -h + 315 for q.
0
Let x = -13198 + 13238. Solve -153*m + 161*m = x for m.
5
Suppose -27*z + 3*f - 31 = -28*z, f + 59 = 4*z. Solve -15*g = -z*g + 1 for g.
1
Suppose 27*r + 9486 = 120*r. Solve -11*g - r = -45*g for g.
3
Let o(w) = -2*w**3 - 5*w**2 - 7*w - 7. Let s be o(-3). Let u = 39 - s. Suppose 0 = -7*h + 3*h + u. Solve h*g - 6 = 14 for g.
5
Suppose 0 = 4*p + g - 17, 4*p + g - 11 = 6*g. Let o(k) = 135 - 270 + 126 + 5*k**2 + 4*k. Let y be o(2). Solve -y = 3*s - p for s.
-5
Suppose 0 = 396*z + 57*z. Suppose 2*q + 1 = 3*q. Solve l + z*l = q for l.
1
Suppose c + 13 = -5*g + 2*g, -2*c = -3*g - 19. Suppose 4*h + 0*w - 16 = 2*w, c*w + 10 = 3*h. Let x be 2 - (0 + 0)*1/2. Solve x*s + 4 = -h for s.
-5
Let f(z) = 18*z**2 - 15*z**2 + 9*z - 8 - 12*z. Let u(p) = -4*p**2 + 2*p + 9. Let s(o) = -3*f(o) - 2*u(o). Let c be s(6). Solve c*n + 5*n = 15 for n.
3
Let r be 8514/108 + (-1)/(-6). Let v = -77 + r. Solve v = -s - 0 for s.
-2
Let w(g) = -g**2 + 36*g + 8. Let h be w(36). Let o be (-2 - h)*1/(-4)*4. Solve -3 = -7*s + o*s for s.
-1
Let x(g) = -g - 8. Let n be x(-13). Suppose -s + n*s = 12. Solve -v = s*v for v.
0
Let a(j) = 5*j**2 + 92*j + 624. Let i be a(-6). Solve -28*w + i - 140 = 0 for w.
4
Suppose -246 = -2*w - 4*x, -2*x + 466 + 38 = 4*w. Let p = 143 - w. Solve p*s = 19*s for s.
0
Let f = 8259 + -8245. Solve -23*i = -f*i - 36 for i.
4
Let c(g) = -2*g**3 - 66*g**2 - 87*g - 698. Let u be c(-32). Solve u*k = 69*k + 93 for k.
-3
Suppose 2*w = 5*p - 4*p - 1527, 2*p - 3057 = w. Solve -p = 5*v - 1559 for v.
6
Suppose 5*m - 3*w = 0, -3*w - 26 = -7*w - 6. Let s be (11/3)/(1/3). Suppose -z - 2 = 4*l - m*l, -3*l - 4*z = s. Solve t - 2*t + l = 0 for t.
3
Let n be (129/8)/3 - (-87)/(-232). Solve 11 = -3*c + n for c.
-2
Let h(g) = -g**3 + 11 + 26 + 10*g**2 - 6 - 3*g. Let y be h(10). Solve -1 - y = -2*t for t.
1
Let o = -5309 - -5329. Let f = 3 - -4. Let v = f + 1. Solve -3*s = -v*s + o for s.
4
Let v(r) = r**2 - 289*r - 9449. Let m be v(-39). Solve m = -7*h + 3315 for h.
-4
Let m = -629 - -716. Suppose -96 = m*q - 95*q. Solve -48 = -9*r - q for r.
4
Let l(d) = -d**2 - 337*d - 6636. Let a be l(-21). Solve a = 16*r + 117 - 149 for r.
2
Let b be ((-13230)/12)/(-49)*(10/3 + -2). Solve -b*q + 8*q - 6*q = 0 for q.
0
Suppose 0 = -q - 6*p + 12, -26*p = -27*p + 2. Solve q = -66*z + 453 + 75 for z.
8
Let o = 3189 + -3159. Solve o*l + 12 = -18 for l.
-1
Let d(a) = 6*a**2 + 6*a - 1. Let r be d(-5). Let b be (-6)/(-8) + r/28. Let n(h) = -h**3 + 63*h**2 - 122*h + 9. Let y be n(61). Solve b*g + 11 = -y for g.
-4
Let g be (20/25)/((-8)/(-20)) + -2 + 5. Solve -4*r - g*r = -27 for r.
3
Let a(w) = w**3 + 4*w**2 - 11*w + 8. Let d be a(-6). Suppose 13 = y - 5*o, y - 3*o = 7 + d. Solve y*u - 6 = 5*u for u.
-3
Let m = 144 + -144. Suppose y + 29 = 5*x - m*y, 4*x = -3*y + 8. Solve -8*v + 3 = -x*v for v.
1
Suppose -2*b + 37 = -3*x, -2*b + 5*x = -34 - 1. Suppose u - 5*a = -4*u + 175, -2*a = u - b. Solve -u = -2*y + 8*y for y.
-5
Let t = -165 + 253. Let c = t - 129. Let u = -39 - c. Solve -s = u*s for s.
0
Let z(b) = -7*b + 4. Let g be z(-10). Let d = g + -74. Suppose -i + 2 = i - 2*k, i + k - 5 = d. Solve -j = i*j for j.
0
Let l(v) = v + 12. Suppose -2*o - 12 - 12 = 0. Let i be l(o). Suppose 5*n + 13 - 28 = i. Solve n*x + 5 = 20 for x.
5
Let c(t) = -3*t**2 + 93*t - 494. Let u be c(24). Solve -33*a = -38*a - u for a.
-2
Let d = -286 - 84. Let k = -361 - d. Solve -4 = r - k for r.
5
Let b(r) = r**3 - 9*r**2 - 27*r + 217. Let d be b(10). Solve 63 = -8*s + d for s.
-2
Suppose -2*y - 5*y + 7 = 0. Let u = 603 + -600. Solve -2*z - y = -u for z.
1
Let y(s) = 2*s**2 + 41*s + 146. Let v be y(-16). Let w be (-1)/3 + (-57)/(-9). Suppose b = w*b. Solve v*p + 0*p = b for p.
0
Let p(j) = -j**2 - 17*j + 47. Let k be p(-19). Suppose 2*a - k*a = -14. Solve -h = -a*h for h.
0
Let o = -438281 + 438284. Let s(w) = w + 2. Let v be s(3). Solve 0 = -o*u + v*u for u.
0
Suppose 4*k + 4*s = 0, 3*s = k + 6*s + 4. Suppose -2*w - 299 = 2*w + 3*z, -146 = k*w - 2*z. Let t = w - -83. Solve -t*f = -12*f for f.
0
Let p(o) = o**3 + 17*o**2 + 21*o + 7. Let j be p(-13). Suppose 3*u + j = -2*u. Let x = u - -86. Solve x - 13 = 3*k for k.
-3
Let n be -16*(-15)/(-10) - 3. Let w(o) = o**3 + 30*o**2 + 82*o + 29. Let p be w(n). Solve 3*s - p*s = 2 for s.
2
Let w be -3 - (-3 + -1) - -1 - -2. Suppose -26*c + 24*c = -w. Suppose 0 = -4*f + c*f - 2*a + 8, 0 = a. Solve -f = -0*u - u for u.
4
Let x(o) = o**3 - 17*o**2 - 20*o + 24. Let c be x(18). Let f be c/(-2)*(6 + 217/(-42)). Suppose -3*l = -j + 18, -l = -f*j - 2*l + 42. Solve t = -2*t - j for t.
-3
Let k be (12/5)/(120/13000). Solve 59*o + k = 7*o for o.
-5
Suppose 9*i + 38 = 200. Let u be 220/i - 2/9. Solve 6*m = 6 + u for m.
3
Suppose 6*u + 48 = 12*u. Suppose 4*p + 5*s = -u + 38, -3*p + 23 = 4*s. Solve p*y = y + 4 for y.
1
Suppose 216*c - 2475 = -9*c. Solve -83 = c*f - 116 for f.
3
Suppose -2*b - g = -39, -b - 5*g - 46 = -34. Solve b*a - 32*a - 45 = 0 for a.
-5
Let g(p) be the first derivative of p**4/12 - 5*p**3/3 + 29*p**2/2 + 15*p + 22. Let m(u) be the first derivative of g(u). Let j be m(6). Solve 4 - j = s for s.
-1
Suppose 12*t = 13*t - 44. Let k be (t - 48)*1*(-1 - 0). Let u be ((-114)/k)/((-6)/4). Solve -11 + u = -2*l for l.
-4
Suppose -4*f = -10 + 2, 5*f + 45 = 5*n. Let x(r) = 12*r - 127. Let d be x(n). Suppose 0 = -q - 0*q - 3*b + 15, -2*q - 2*b + 10 = 0. Solve q = d*s + 2 - 7 for s.
1
Let c(d) = -2*d**3 + 12*d**2 + 17*d - 14. Suppose 0 = -24*g - 0*g + 168. Let x be c(g). Solve 0 = -x*j + 3*j for j.
0
Let w = 8061 + -7993. Solve -62*x + 18 = -w*x for x.
-3
Suppose -5*q = a + 20, -4*a + a + 16 = -4*q. Suppose -51 = -3*g - 3*x, -3*g - x + 40 + 13 = a. Let v = g - 13. Solve 0 = -2*n - 3 - v for n.
-4
Let z(t) = 2*t**3 + 4*t**2 + 22*t - 4. Let n(d) = d**3 + 4*d**2 + 19*d - 4. Let x(p) = 3*n(p) - 2*z(p). Let i be x(6). Solve 0 = a + i*a - 15 for a.
5
Let c(g) = -4*g - 14. Let j be c(-4). Suppose s = -4*s + j*l - 37, -s - 13 = l. Let u be 76/18 - (-2)/s. Solve -2 - 2 = u*t for t.
-1
Suppose -80 = -3*p + 2*t, 3*p - 77 = -5*t + 4*t. Solve -8 = -p*l + 18*l for l.
1
Suppose -17 = -w - 2*h, -h - 5 = -w + 6. Let m(p) = -p**2 - p + 186. Let n be m(w). Solve -2*r = -n*r - 6 for r.
-3
Let x(s) = -7*s**3 - 6*s**2 + 4*s + 23. Let d(t) = -t**3 - t + 1. Let u(h) = 6*d(h) - x(h). Let w be u(-7). Solve -7*n + w - 11 = 0 for n.
-1
Let h be (-5)/(50/(-55)) - 6/4. Suppose -9 = l - h. Let v be -18*2*l/30. Solve -5*f = -v + 1 for f.
1
Let k(j) = j**3 + 26*j**2 - 38*j + 12. Let r be k(-27). Let p = -303 + r. Solve 0*x - p = -3*x for x.
2
Let k(c) be the first derivative of -c**3/3 - 31*c**2/2 - 144*c + 48. Let v be k(-25). Solve -v*l + 5 = 5 for l.
0
Let s(g) = -g**2 + 7*g - 5. Let m be s(4). Suppose 3211*q = 3172*q. Solve -m*x + x = q for x.
0
Let l be 3/(-2)*(-4 - 12 - -8). Solve -12*r - 48 = l for r.
-5
Let f = -75 - -82. Let o = -4 - -12. Let a = o - f. Solve 0 = -0*u + u + a for u.
-1
Let x = -17340 + 17348. Solve -132 = -20*h + x for h.
7
Let u(i) = 2*i**2 - 3 - i - 5*i + 6. Let w be u(4). Let l = 13 - w. Solve l*z + 7 - 3 = 0 for z.
-2
Let h(r) = -2*r + 111. Suppose -4*g - 5*z + 152 = 0, -4*g -
|
{
"pile_set_name": "DM Mathematics"
}
|
7. Suppose o*s - 44 = 32*s. Solve 6*n - s = -5 for n.
1
Let p be ((-4)/3)/((-14)/(-21)). Let s(q) = 8*q + 27. Let t be s(-4). Let b = p - t. Solve -b*f = f - 4 for f.
1
Let l = 332 + -332. Suppose 59*t - 48*t - 132 = l. Solve -9*p + t = -5*p for p.
3
Let a(z) = z**2 + z - 75. Let v be a(-12). Let s = v + -54. Solve -8 = w - s for w.
-5
Let c(n) = -n**2 - 16*n - 12. Let z be c(-15). Let f(q) = q**2 + 3*q - 14. Let r be f(z). Solve 0 = -w - 8 + r for w.
-4
Let p = -2959 - -2967. Solve 2 + 6 = p*x for x.
1
Let r(d) = -d**3 - 20*d**2 - 88*d + 24. Let t be r(-7). Suppose 4*a + 0*a = 308. Solve -a*s - t = -76*s for s.
-3
Let v(c) = 207*c**2 - 87*c - 87. Let k be v(-1). Solve 217 - k = 5*t for t.
2
Suppose -22 = -4*k - 7*k. Let x be (3 - 209/k) + (-3)/6. Let q = x - -112. Solve p + q = 5 for p.
-5
Suppose -56*a - 4 = -54*a. Let t be (a/(-2) + 5)/((-4)/(-6)). Suppose 13*u - t = 4*u. Solve -4*i + 13 - u = 0 for i.
3
Let d = 1116 + -1651. Let n = d + 569. Solve n = -6*c + 4 for c.
-5
Let v = -1226 - -2213. Suppose 767 = -11*a + v. Solve 0*p - 4*p = a for p.
-5
Suppose 0 = -5*p + 171 + 159. Let c = 64 - p. Let w be (0 - c/(-11)) + (-6)/(-33). Solve w + 2 = 2*z for z.
1
Let f = 39 - 23. Suppose a + 5*j + 23 = 0, 5*a - 2*j - f = 2*a. Suppose 4*p - 5*p = -a. Solve -n = p*n - 9 for n.
3
Let x be 0/(-3*6/9). Suppose 4*u = 2*v + 6*u - 14, -2*u + 10 = x. Solve -v*r - 1 = -r for r.
-1
Suppose 4*m + 3*i - 70 = -m, -i = -4*m + 73. Let q = -11 + m. Suppose 0 = 29*d - 22*d + 47*d. Solve -q*u + 4*u + 6 = d for u.
3
Let o be 11403/724 - (10/(-5) - 7/(-4)). Solve -210*m = -202*m - o for m.
2
Let q(k) = -6264*k + 404. Let w be q(-1). Solve 4*j = -6672 + w for j.
-1
Let v be 39 + (-12)/(-3 + 0). Suppose 46*b - v*b = 15. Solve 3 + b = 4*i for i.
2
Let o(d) = 133*d - 5. Let s be o(1). Let i = s - 125. Solve j = i - 2 for j.
1
Suppose 841 = 77*t + 71. Solve t*y + 90 - 50 = 0 for y.
-4
Let w = 98 + -59. Suppose 3*t - 57 = -w. Solve 10 = -4*b + t*b for b.
5
Let y be 1*(16 - 160/(-10)). Solve 0 = -y*f - 26*f - 464 for f.
-8
Let g be -27 - (-581)/21 - (10/(-3) + 2). Solve g*k + 32 - 16 = 0 for k.
-8
Suppose 4*l - 5*k = 2 + 24, -k + 38 = 4*l. Suppose -36*y - l = -39*y. Let a = 3 - 2. Solve y = -h - a for h.
-4
Suppose 28050 = -78*d + 248*d. Solve d*j - 168*j = -6 for j.
2
Let j be (-4)/(-2)*(36/(-4) + 10). Suppose j*b + 6*b - 16 = 0. Solve -p = b - 1 for p.
-1
Let r = 331 - 209. Suppose 0 = 2*b - 2*m - 34, 5*b - 3*m + 31 = r. Solve -l + b = -5*l for l.
-5
Let q = -1 - -4. Suppose 640 - 472 = 28*u. Solve q*t = u*t for t.
0
Let d = -150 + 78. Let x = d - -76. Let y be (-8 + 0)*(-7)/28. Solve y + x = -2*z for z.
-3
Let g be (-6)/(-2)*((-477)/9 - 6). Let y = -177 - g. Solve 3*j = -y*j for j.
0
Let o = -31 + 76. Let l be (-6)/(-15) + (-18)/o. Suppose 0 = -3*g - 15, -2*f + l*g + 5 = -g. Solve -q + 3 = -f*q for q.
3
Let h = -2450 + 2482. Solve q + 31 = h*q for q.
1
Let t = 14 - 1. Suppose -3*j = -t - 14. Suppose 10*k - j - 31 = 0. Solve -m + k = m for m.
2
Let w(s) = s**3 + 21*s**2 - 25*s - 46. Let o be w(-22). Suppose 0*m - 3*m + 3 = 0, -3*q + 4*m = -20. Suppose -q*a = -o*a. Solve a = -2*p + 9 - 1 for p.
4
Let v(r) = -r**2 + 8*r + 43. Let q be v(10). Suppose 24 = -11*n + q*n. Solve -8 = -n*t - 2*t for t.
2
Let v be (452/6)/1 - 68/51. Let b = 106 - v. Let w be ((-3)/2)/((-12)/b). Solve h = -w*h - 10 for h.
-2
Let s(q) = -3*q - 38. Suppose 33*b - 42*b - 126 = 0. Let a be s(b). Suppose 3*m + 10 = a*y - 11, 0 = 3*y + 4*m + 3. Solve -y = -3*k + 3 for k.
2
Let d(b) be the second derivative of b**5/20 + b**4/3 - b**3/6 + 7*b**2/2 - 5*b. Let r be d(-4). Let f = r - -6. Solve -f = 4*g + 3 for g.
-5
Let u = 57 + -47. Suppose -2*y + u + 8 = 0. Let v be (0 - 1)/(-10 + y). Solve -4*m - v = 3 for m.
-1
Let t(i) = -i**2 + 24*i - 127. Suppose 5*d - 4*d = -3*m + 35, m - 21 = 2*d. Let h be t(m). Solve -h*b - 14 = 18 for b.
-2
Suppose -5*j - 2*j = 0. Let c be j - -4 - (10 - 0). Let u be c/(-4)*192/36. Solve -2*h - u = -2 for h.
-3
Let y be ((-6)/(-4))/(27/36) + (4 - 0). Solve 132 = y*c - 28*c for c.
-6
Let l = -834 - -835. Let y be 2/(-12) - ((-30)/36)/5. Solve -i + l + 2 = y for i.
3
Let l(o) be the second derivative of o**5/20 - o**4/3 + 3*o**3/2 - 17*o**2/2 - 40*o + 2. Let z be l(3). Solve z = -2*g + 5 for g.
2
Let r be (188/(-235))/((-231)/150*2 - -3). Solve 5*n = -r*n + 90 for n.
6
Suppose 70 = 10*t + 190. Let v = -8 - t. Solve 2*r = 9*r + v*r for r.
0
Suppose 0 = -5*q + 2*v + 83, -4*q + 10*v + 66 = 8*v. Suppose -6*i - 11 = -q. Solve 2*p + 3 = i for p.
-1
Let h be (176/(-4))/((-63)/(-57) - 1). Let x = h - -426. Solve 8*z = 4*z + x for z.
2
Let k(s) = -102*s + 4429. Let u be k(43). Solve 48*i = -293 - u for i.
-7
Let z = -61 + 172. Suppose 33*r - z + 12 = 0. Solve 6*q = r*q for q.
0
Let m = 666 + -660. Suppose i = -3*b, -i - b = -m*i. Solve -j + 4 - 1 = i for j.
3
Let l be (2 + (-14)/5)*10/(-4). Suppose 3*r + r = l*k - 26, 4*k - r = 24. Solve -k*m + 24 = m for m.
4
Suppose -u + 4*x = 86, -3*u = x - 6*x + 265. Let f be u/(-23) + (-38)/(-437). Solve -5*w - f*w + 36 = 0 for w.
4
Suppose -263*j = -289*j + 22230. Solve -11*q - 800 = -j for q.
5
Let z(j) = -56*j**2 - 897*j - 5. Let m be z(-16). Solve -m*i + 40 = -i for i.
4
Suppose 0 = 2*h - 5*x + 15, -3*h - 4*x + 12 = h. Let y be h/(1*(0 + -2) + 0). Solve y = -p - p for p.
0
Suppose -25*l + 95 = -22*l - c, l - 4*c - 50 = 0. Solve -72*v + 82*v = l for v.
3
Suppose 68*s - 73*s = 0. Let i(j) = -3*j. Let o be i(s). Suppose -4 - 2 = -2*n. Solve 0 = a - o*a - n for a.
3
Let c = 9641 + -9616. Let j(m) = -m + 2. Let a be j(-4). Solve i - a*i = -c for i.
5
Suppose -5*g - 5 = 0, -g = 2*n - 3*g + 2. Let w be (0/(-3))/((-4)/n - 1). Solve -p + 5*p - 8 = w for p.
2
Suppose 0 = 4*r - 5*u + 278 - 243, 5*r = -3*u + 21. Let c = -30 + 37. Solve -9*p + 2*p + c = r for p.
1
Let o be 18/(-27) - (-51)/(-9)*-1. Solve -o + 17 = -3*s for s.
-4
Let x(j) = 4*j + 62. Let g(t) = -2. Let q(r) = -2*g(r) + x(r). Let h be q(-16). Solve 0 = -h*s - 0*s - 8 for s.
-4
Let c = -373 + 394. Suppose 15*t = c*t - 24. Solve 0 = n - 0*n - t for n.
4
Let o = -39898 - -39900. Solve 909 - 891 = o*r for r.
9
Let i(u) = u**2 - 16*u - 25. Let x(p) = -p**2 - 19*p + 18. Let n = -117 + 98. Let a be x(n). Let f be i(a). Solve -8*m + f*m - 9 = 0 for m.
3
Suppose 51*w + 104 = 59*w. Suppose -42 = -5*u - 4*q, -5*u = -2*q - 37 + w. Solve 2*h = -0*h - u for h.
-3
Let w be (0/(-2 - 1))/(-2). Let o be 2 - (-3 - -4)*w. Solve 0 = 3*h + o - 17 for h.
5
Suppose 9*v - 7*v = 8. Suppose 4*h = -v*h. Solve 0 = -7*t - 7 - h for t.
-1
Let d be (-1 - 1/3)/((-44)/297). Suppose -2*i = -5*v - d, 4*v - 36 = -3*i - 11. Solve 0 = -h + 8*h - i for h.
1
Suppose -8*r + 434 = 410. Let h(y) = -5*y + 6 - 16*y**2 + 17*y**2 + 10*y. Let l be h(-4). Solve -5*v + r*v - l = 0 for v.
-1
Let l be (-3)/(-2)*(-21 - -11). Let z = -13 - l. Suppose -6 = z*i - 2*c, i - 3*c = -0*c - 9. Solve 0 = -4*r + 4 - i for r.
1
Suppose -i - 5*w = -2*i + 34, 114 = 4*i + 2*w. Let d = i + -27. Let z be d/(3/2 - 1). Solve -z = -5*y + 21 for y.
5
Let x(k) = -k**2 - 20*k + 1464. Let t be x(29). Solve 63*v - 100 = t*v for v.
5
Suppose -3 - 7 = -2*c. Suppose -3*m - 394 = 7*r - 3*r, -4*m - 515 = -c*r. Let y = m + 130. Solve -z = -y*z + 3 for z.
-3
Let j = -2804 - -3169. Solve 358*d = j*d + 35 for d.
-5
Let m(j) = -j**3 - 4*j**2 - j + 4. Let f be m(-4). Suppose -f*c + 32 + 0 = 0. Suppose 0 = -5*i - b + 10, 22 = i + i + c*b. Solve 4*h - 11 = i for h.
3
Let v = 5758 - 5566. Solve -v = 9*g - 219 for g.
3
Let g(a) = 61*a - 34. Let y be g(12). Let c = y + -694. Solve 2 = c*q - 6*q for q.
-1
Let d be 3/9 - 25/(-15). Suppose 15 = d*v - 51. Suppose -2*t = 3*w - 27, -2*w - v - 25 = -5*t. Solve p - t = -2*p for p.
4
Suppose 8*u = 14*u - 12. Suppose u - 1 = c. Suppose 2*l + 1 + c = -5*j, 8 = -4*j. Solve -l*a - 3 = 9 for a.
-3
Suppose 3*r - 32 = k, r - 20 = 7*k - 2*k. Suppose 4 = 5*q - 4*o, -5*q + 5*o - 40 = -r*q. Solve -q*i = -2*i + 2 for i.
-1
Suppose 4*w = -5*a + 89, -a = -2*w + 2*a + 17. Suppose 0 = 12*h - 10*h - w. Solve 0 = 10*m - h*m for m.
0
Suppose -3 = -g - 6. Let n be (g/2 - (-3)/6)*2. Let d(o) = o + 5. Let r be d(n). Solve r*p = -p - 8 for p.
-2
Let f(h) = -h**3 + 8*h**2 + 22*h - 15. Let c be f(10). Suppose 2*v + 0*v = -3*a + 20, c*a + 18 = 4*v. Solve 18 = -v*t + t for
|
{
"pile_set_name": "DM Mathematics"
}
|
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What is next in 1185, 2295, 3403, 4509?
5613
What comes next: -1739, -6946, -15611, -27728, -43291, -62294, -84731, -110596?
-139883
What is the next term in 411, 549, 687, 825, 963, 1101?
1239
What comes next: -2201, -2287, -2407, -2579, -2821, -3151, -3587?
-4147
What is next in -3198, -3178, -3158, -3138, -3118?
-3098
What comes next: -187, -378, -673, -1072, -1575?
-2182
What is next in 2058271, 2058268, 2058265?
2058262
What is the next term in -398, -78, 244, 568?
894
What is the next term in 1021, 1424, 1813, 2182, 2525, 2836?
3109
What comes next: 16, 321, 626, 931, 1236, 1541?
1846
What is next in -2523, -2602, -2681?
-2760
What comes next: -272, -1089, -2458, -4385, -6876, -9937?
-13574
What is next in 1251, 1135, 923, 609, 187, -349?
-1005
What is the next term in -382544, -382541, -382538, -382535, -382532?
-382529
What comes next: 376, 565, 590, 451?
148
What comes next: -1381, -1337, -1303, -1285, -1289?
-1321
What is the next term in -196, -367, -538, -709, -880?
-1051
What is next in 1380, 1359, 1330, 1293, 1248, 1195?
1134
What comes next: 917, 793, 669, 545, 421, 297?
173
What comes next: 2000, 2047, 2108, 2189, 2296, 2435?
2612
What comes next: 28513, 28540, 28569, 28600, 28633?
28668
What comes next: 151, 583, 1313, 2347, 3691, 5351, 7333?
9643
What comes next: -129, -330, -531, -732, -933?
-1134
What is the next term in -132264, -264525, -396784, -529041, -661296, -793549?
-925800
What is the next term in 2952, 2984, 3014, 3042?
3068
What is next in -57, -80, -109, -144, -185?
-232
What is next in 315, 2499, 8429, 19977, 39015, 67415, 107049?
159789
What comes next: 19927, 19901, 19875, 19849, 19823?
19797
What is next in -34732, -34694, -34632, -34546, -34436, -34302?
-34144
What is next in 308, 1081, 2370, 4175?
6496
What comes next: -661, -604, -549, -496, -445, -396, -349?
-304
What comes next: -83, -188, -341, -542?
-791
What is next in -1091609, -2183214, -3274819, -4366424, -5458029?
-6549634
What is the next term in 4430, 8931, 13432, 17933, 22434?
26935
What is the next term in 4556, 9102, 13648?
18194
What comes next: -95518, -95512, -95506, -95500, -95494, -95488?
-95482
What is the next term in -193, -295, -471, -721, -1045, -1443, -1915?
-2461
What comes next: 19, 103, 245, 445, 703, 1019, 1393?
1825
What is the next term in 3346, 3250, 3158, 3070?
2986
What is next in -1195, -1282, -1499, -1906, -2563, -3530?
-4867
What is the next term in -22, -35, -46, -61, -86?
-127
What comes next: -7529, -7875, -8221, -8567, -8913?
-9259
What is next in 56994, 56990, 56986?
56982
What is the next term in -16728, -16640, -16492, -16284, -16016, -15688, -15300?
-14852
What is next in -531878, -1063753, -1595628, -2127503, -2659378, -3191253?
-3723128
What comes next: 1409, 6906, 16059, 28862, 45309?
65394
What comes next: -3818, -15390, -34680, -61694, -96438, -138918, -189140, -247110?
-312834
What is next in 923173, 923169, 923165, 923161, 923157, 923153?
923149
What is next in 1586, 2326, 3066, 3806, 4546?
5286
What is next in 689, 1235, 1781, 2327, 2873?
3419
What is the next term in -2625, -2573, -2423, -2127, -1637?
-905
What is the next term in -36, -400, -1448, -3528, -6988, -12176?
-19440
What is next in -97, -105, -117, -133, -153, -177?
-205
What is the next term in -22447, -44900, -67353?
-89806
What is the next term in 146494, 146486, 146478, 146470, 146462, 146454?
146446
What is next in -837590, -837587, -837582, -837575, -837566, -837555, -837542?
-837527
What is the next term in 12046, 12313, 12764, 13405, 14242, 15281?
16528
What is the next term in -4075, -16354, -36817, -65458, -102271, -147250, -200389?
-261682
What comes next: 23988, 47975, 71964, 95955, 119948, 143943, 167940?
191939
What comes next: -2175, -2257, -2339, -2421?
-2503
What comes next: 413369, 413367, 413365, 413363?
413361
What is next in 946, 3588, 7992, 14158?
22086
What comes next: 2653, 2607, 2479, 2227, 1809, 1183, 307, -861?
-2363
What is next in -10509, -18393, -26279, -34167?
-42057
What is next in 198566, 198567, 198568, 198569, 198570, 198571?
198572
What comes next: -43497, -43464, -43411, -43332, -43221, -43072?
-42879
What is next in -21910, -22081, -22542, -23437, -24910, -27105?
-30166
What is the next term in 52992, 105985, 158978, 211971?
264964
What is next in -26212, -26203, -26194?
-26185
What is the next term in 256, 447, 638, 829?
1020
What is next in -118249, -236479, -354709, -472939, -591169?
-709399
What is next in 842, 960, 1152, 1412, 1734, 2112, 2540, 3012?
3522
What is the next term in 8419, 16882, 25389, 33940?
42535
What comes next: 46, 22, -68, -254, -566, -1034, -1688?
-2558
What comes next: 50, 242, 606, 1178, 1994, 3090, 4502?
6266
What comes next: 1830, 1892, 1956, 2022, 2090, 2160, 2232?
2306
What is next in -4088, -8192, -12296, -16400, -20504?
-24608
What is next in -27, -129, -297, -531, -831, -1197, -1629?
-2127
What comes next: -1337, -2883, -4441, -6017, -7617, -9247, -10913, -12621?
-14377
What comes next: 33118, 33092, 33048, 32986?
32906
What comes next: -3407, -6758, -10055, -13298, -16487?
-19622
What comes next: 4832, 4819, 4806, 4793, 4780, 4767?
4754
What is next in -491, -956, -1413, -1862, -2303, -2736?
-3161
What is the next term in -4276, -4278, -4280, -4282, -4284, -4286?
-4288
What is next in -238, -69, 102, 275, 450, 627?
806
What is the next term in 472, -924, -3252, -6512, -10704?
-15828
What is the next term in 9001, 9007, 9023, 9055, 9109, 9191, 9307, 9463?
9665
What is next in -1378, -5510, -12394, -22030?
-34418
What is next in 4052, 4046, 4028, 3992, 3932, 3842, 3716, 3548?
3332
What is next in 62247, 124469, 186691, 248913?
311135
What is next in 676, 2868, 5062, 7258, 9456?
11656
What comes next: 1931, 1936, 1941?
1946
What is the next term in -104, 112, 626, 1588, 3148, 5456, 8662?
12916
What is next in 479, 833, 1199, 1583, 1991, 2429?
2903
What is the next term in -1726, -1600, -1474, -1348, -1222?
-1096
What is the next term in 384, 738, 1092?
1446
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
7060*i**3
Collect the terms in 58498*i - 29247*i - 27*i**2 - 29251*i.
-27*i**2
Collect the terms in 60*t + 133*t + 156*t - 18*t + 26*t**3.
26*t**3 + 331*t
Collect the terms in 29*f + 103*f - 1289 + 47198 - 25*f.
107*f + 45909
Collect the terms in 5343*t - 4388*t + 1043*t + 2166*t.
4164*t
Collect the terms in 82830*w**2 - 41376*w**2 - 41511*w**2.
-57*w**2
Collect the terms in 1054*o**2 + 50*o**2 - 1104*o**2 - 16*o**3.
-16*o**3
Collect the terms in 2 - 14825*u - 8171*u - 4765*u.
-27761*u + 2
Collect the terms in 12239*q - 5770*q + 4479*q + 4939*q.
15887*q
Collect the terms in 13285*v + 250*v**2 - 13285*v + 7351 - 7351.
250*v**2
Collect the terms in -201011 + 201033 + 0*y**2 - 3*y**2.
-3*y**2 + 22
Collect the terms in 2*h - 3*h - 105321*h**2 + 30209*h**2 - 206863*h**2 - 3.
-281975*h**2 - h - 3
Collect the terms in -2319*l - 7127*l - 7484*l + 4613*l - 7369*l.
-19686*l
Collect the terms in 522675*v - v**2 + 3 - 84062*v + 20869*v.
-v**2 + 459482*v + 3
Collect the terms in -11435*u**2 - 1642*u - 1961*u**2 + 3288*u - 1646*u.
-13396*u**2
Collect the terms in 1784*v**2 - 251*v**2 + 1023 - 1023.
1533*v**2
Collect the terms in 10079*y**2 - 10644*y**2 + 18*y - 57*y.
-565*y**2 - 39*y
Collect the terms in -902432 - 17701*s**3 + 902432 + 17700*s**3 - 13*s.
-s**3 - 13*s
Collect the terms in -35354*k**3 - 35348*k**3 + 108532*k**3 - 37832*k**3.
-2*k**3
Collect the terms in 611*p**2 + 5*p + 530*p**2 - 188*p**3 - 1141*p**2.
-188*p**3 + 5*p
Collect the terms in 210*u - 14*u**2 - 699*u + 286*u + 203*u - 15*u**2.
-29*u**2
Collect the terms in -97*u**2 + 131*u**2 + 87*u**2 + 40*u**2 + 52*u**2 - 21*u**2 - 4*u**2.
188*u**2
Collect the terms in -1118*v + 199*v - 1497*v.
-2416*v
Collect the terms in -31*y**2 + 80376 + 2*y - 40416 - 39960.
-31*y**2 + 2*y
Collect the terms in -2*k**3 + 130815*k**2 + k**3 - 17*k + 130814*k**2 - 261629*k**2.
-k**3 - 17*k
Collect the terms in -2*k + 1097254211090 - 1097254211090.
-2*k
Collect the terms in 1767 - 823*o**3 - 580 - 590 - 597.
-823*o**3
Collect the terms in 6 + 226*g - 69*g**2 - 67*g**2 - 63*g**2 + 196*g**2.
-3*g**2 + 226*g + 6
Collect the terms in -101512 + 203470 + f - 101738.
f + 220
Collect the terms in 4585*m**3 - 1066*m**3 - 1128*m**3 - 1106*m**3 - 1140*m**3.
145*m**3
Collect the terms in 136499*x - 273348*x + 136655*x.
-194*x
Collect the terms in -240*g - 33*g + 65*g + 390*g.
182*g
Collect the terms in -18224444*v + 54*v**2 + 18224444*v.
54*v**2
Collect the terms in 4*n**2 + 148 + 4*n + 2*n - 8*n + 80.
4*n**2 - 2*n + 228
Collect the terms in -3917*c**2 + 15660*c**2 - 3912*c**2 - 3914*c**2 - 3915*c**2 - 8.
2*c**2 - 8
Collect the terms in -2*x**3 + 105026*x - 105026*x + 292.
-2*x**3 + 292
Collect the terms in -70 + 22 + 21 - 54*h + 32 + 57*h.
3*h + 5
Collect the terms in -270*j - 321*j - 1686*j - 557*j.
-2834*j
Collect the terms in 4403*g**3 + g**2 + 8758*g**3 + 11329 - 11329 - 3603*g**3.
9558*g**3 + g**2
Collect the terms in -393*h**3 - 430*h**3 - 441*h**3 + 96*h**3 + 28*h**3.
-1140*h**3
Collect the terms in 71*z**3 - 2949 + 2914 - 76*z**3.
-5*z**3 - 35
Collect the terms in -169*i - 300*i - 170*i - 163*i + 783*i.
-19*i
Collect the terms in -3582*p - 8 + 10945*p + 7806*p + 9 + 1104*p.
16273*p + 1
Collect the terms in -2 + 9 - 16*x + 13 - 93.
-16*x - 73
Collect the terms in 7*k + k - 13*k - 122 - 16*k.
-21*k - 122
Collect the terms in 23*k + 11 + 11*k - 23 - 26 - 43*k - 2.
-9*k - 40
Collect the terms in 5 - 187*f**3 - 2 + 1 + 8*f**2 + 38*f**3.
-149*f**3 + 8*f**2 + 4
Collect the terms in 17110*f**3 - 3 - 4384*f**3 + 5205*f**3 + 6.
17931*f**3 + 3
Collect the terms in -3*g**3 + 0*g**2 + 2*g**2 - 589 + 593.
-3*g**3 + 2*g**2 + 4
Collect the terms in 3 + 17 - x**3 + 48 + 2*x**2 - 158.
-x**3 + 2*x**2 - 90
Collect the terms in -15693 + 3166791*i + 26*i**3 + 15693 - 3166793*i.
26*i**3 - 2*i
Collect the terms in -287 + 5754*h + 805 - 261 - 268.
5754*h - 11
Collect the terms in -728 - 728 - 1157 + 2613 + 304*h**2.
304*h**2
Collect the terms in 731 - 731 + 999820*i**3.
999820*i**3
Collect the terms in 23731227 - 2*j**3 - 11865405 - 11865822.
-2*j**3
Collect the terms in 14 - 19*p**2 - 14 + 20*p**2 - 14949*p**3 + 14968*p**3.
19*p**3 + p**2
Collect the terms in 908 - 21*q - 911 + 9*q**2 + 5*q + 43*q**2 - 57*q.
52*q**2 - 73*q - 3
Collect the terms in -465439*p**3 + 683446*p**3 - 218006*p**3.
p**3
Collect the terms in 0 - 77506*u + 8 + 77532*u.
26*u + 8
Collect the terms in -11 + 131*a**2 - 624*a**2 + 125*a**2 + 114*a**2 + 120*a**2 + 136*a**2.
2*a**2 - 11
Collect the terms in -13*f + 847776 + 847777 - 2543325 + 847772.
-13*f
Collect the terms in 78*z - 41*z - 33*z + 2058.
4*z + 2058
Collect the terms in 29 - 71 + 367*t**2 - 1519*t**2.
-1152*t**2 - 42
Collect the terms in -21106*f + 7034*f + 7036*f + 7035*f - 2 + 9.
-f + 7
Collect the terms in 16 + 9 - 3 + 94*q + 10 - 176 + 144 - 97*q.
-3*q
Collect the terms in -5*i**3 - 7*i**3 + 13*i + 25*i - 86 + 10*i**3 + 86.
-2*i**3 + 38*i
Collect the terms in 18*n**2 - 59*n**2 + 28*n**2 + 12*n**2 + 152*n - 2.
-n**2 + 152*n - 2
Collect the terms in 149 + 2399*s - 1197*s - 149 + 15*s**2 - 1202*s.
15*s**2
Collect the terms in 245*w + 8*w - 308*w.
-55*w
Collect the terms in -703*b**2 - 747*b**2 + 2344*b**2 - 165*b**2.
729*b**2
Collect the terms in -3468*m + 35330 - 11780 - 11769 - 11781.
-3468*m
Collect the terms in -1 - 190923*j + 381896*j + 1 - 190996*j.
-23*j
Collect the terms in 224*s - 7*s**2 + 463*s - 687*s - s**2.
-8*s**2
Collect the terms in 10*z**2 + z**2 + 0*z + 0*z + 783 - 16*z**2 - 783.
-5*z**2
Collect the terms in 44269956*o**2 - 3 - 44430315*o**2 + 3.
-160359*o**2
Collect the terms in 45*i + 31*i + 40*i + 4*i + 2 - 45*i.
75*i + 2
Collect the terms in 47*q + 14*q + 53*q - 30*q + 23*q.
107*q
Collect the terms in 159733*w**3 - 79841*w**3 - 79898*w**3.
-6*w**3
Collect the terms in -21585596*a + 221*a**2 + 21585596*a - 3.
221*a**2 - 3
Collect the terms in 1021*f**2 - 3 + 109*f - 1028*f**2 + 2 + 1.
-7*f**2 + 109*f
Collect the terms in -448977 - 448980 + 6*j + 1346938 - 448979.
6*j + 2
Collect the terms in -3200528*h**3 + 1600269*h**3 + 1600255*h**3.
-4*h**3
Collect the terms in 5*d**2 - 11442*d - 3*d**2 + 935*d.
2*d**2 - 10507*d
Collect the terms in -10704*x + 40083*x - 10490*x.
18889*x
Collect the terms in 28*g + 35*g - 113*g + 31*g + 31*g - 5*g.
7*g
Collect the terms in -3 + 308*u - 1002*u + 481*u.
-213*u - 3
Collect the terms in 8449*a - 33192225 + 33192225.
8449*a
Collect the terms in -437 - 604 + 3*u - 559*u**2 - 3*u + 1654 - 614.
-559*u**2 - 1
Collect the terms in -7 + 7 + 188068*k**3 + 118567*k**3.
306635*k**3
Collect the terms in -50 - 2*j**2 + 47955558*j - 47955558*j.
-2*j**2 - 50
Collect the terms in 62*k**2 - 71*k**2 + 1196*k**2 + 1269*k**2.
2456*k**2
Collect the terms in -196 - 196 - 199 + 591 + 251349*x**2 - 251375*x**2.
-26*x**2
Collect the terms in 36120*z + 36334*z - 72656*z.
-202*z
Collect the terms in -17*y**2 - 74059204989 + 74059204989 + 14*y**2.
-3*y**2
Collect the terms in -1187*t - 12 - 18 - 2838*t + 30.
-4025*t
Collect the terms in 111850*w**2 - 335541*w**2 + 111848*w**2 + 111847*w**2.
4*w**2
Collect the terms in 421 - 421 - 37458866*x**2 + 37458873*x**2.
7*x**2
Collect the terms in -18*w + 23*w**2 - 13*w - 3*w + 4*w + 25*w.
23*w**2 - 5*w
Collect the terms in -32 + 2201*t - 27 + 59.
2201*t
Collect the terms in 714304*b - 357133*b - 357148*b.
23*b
Collect the terms in 3*o**2 - 113*o**2 + 9*o**2 + 10*o + o**3 - o - 2*o**2.
o**3 - 103*o**2 + 9*o
Collect the terms in 3221 - 3*p - 9679 + 3225 + 134*p + 3223.
131*p - 10
Collect the terms in -50 - 36*x**2 + 65*x**2 + 1104*x - 31*x**2.
-2*x**2 + 1104*x - 50
Collect the terms in 6*t + 26*t**2 + 18 + 116 + 19*t**2 - 82*t**2.
-37*t**2 + 6*t + 134
Collect the terms in 0*l**3 + 468971825*l - 937943652*l - 3*l**3 + 468971827*l.
-3*l**3
Collect the terms in -21128*n**2 - 12160*n**2 + 13007*n**2 - 27016*n**2.
-47297*n**2
Collect the terms in 706*h - 3134*h + 976*h + 724*h + 727*h.
-h
Collect the terms in 4815*d - 153 + 153 - 30062*d.
-25247*d
Collect the terms in -90807 + 90817 + 127*x**2 - 164*x**2.
-37*x**2 + 10
Collect the terms in -3*k + 27 - 95 - 4*k + 36 + 8 + 24.
-7*k
Collect the terms in 38 - 30 + 6 - 6*m - 14.
-6*m
Collect the terms in 3793714*u - 1896845*u - 1896863*u.
6*u
Collect the terms in r**2 - 10*r + r**2 + 2*r**2 - 4*r**
|
{
"pile_set_name": "DM Mathematics"
}
|
i(-3). Let y be 1/4 + 6/8. List the prime factors of (0 + f + 13)*y.
11
Suppose 2*y - 5*a = -4*a, 0 = -4*y - 2*a. Suppose y*f + 2*f + 19 = -s, 3*s - 15 = 2*f. Let h = 21 + f. List the prime factors of h.
2, 3
Suppose 0 = -2*x + 3*f + 75, 2*x - 165 = -2*x + 3*f. Suppose x = -4*t - 27. Let w = 26 + t. List the prime factors of w.
2
Let t(m) = 3*m + 5*m**2 + 79 - 4*m - 80. Let u = 3 - 1. What are the prime factors of t(u)?
17
Suppose -2 = -2*y, -3*s + y - 2 - 2 = 0. Let b be s - (2/(-1) + -1). Suppose -b*l + 2*x + 14 = 0, -l + 4*x - 2*x + 4 = 0. What are the prime factors of l?
2, 5
Let p(g) = 2*g + 1. Let d be p(-5). Let i(z) = -3*z - 2. List the prime factors of i(d).
5
Suppose 2*d + 0*d - 8 = 0. Let g be -24 + 1/2*d. What are the prime factors of g*((-2)/(-4) + -1)?
11
Let v = 13 + -3. What are the prime factors of v?
2, 5
Let s(n) = -4. Let y(o) = o + 3. Let d(j) = 2*s(j) + 3*y(j). Let p be d(2). Let i = p + -2. What are the prime factors of i?
5
Let j be (1 + 1)*(-2 + -3). Let l = j - -16. List the prime factors of l.
2, 3
Suppose 4*j = -5*x + 3*j + 40, -8 = -x - 4*j. Let w(b) be the first derivative of b**2 - 11*b - 1. List the prime factors of w(x).
5
Let r(a) be the second derivative of a**4/12 + a**3/3 - 2*a. Let m be -3 - ((-2 - 0) + 3). List the prime factors of r(m).
2
Let h be (-218)/(-4) - (-3)/(-6). Suppose -5*c + h = 2*d, 6*d = 4*d + 2*c + 26. List the prime factors of d.
17
Suppose s = -5*o + 95, -3*o - 2*s - 62 = -7*o. List the prime factors of o.
2, 3
Suppose a = j - 24, -56 - 12 = -4*j - 3*a. List the prime factors of j.
2, 5
Suppose -3*s - 3 = 0, 0*a - 70 = -3*a + 4*s. What are the prime factors of a?
2, 11
Suppose -34*u - 882 = -37*u. List the prime factors of u.
2, 3, 7
List the prime factors of 53 + (-1 - (3 + -3 + 1)).
3, 17
Let o(a) = 5*a**2 + 2*a - 2. Let i be o(2). Suppose i = w - f, 2*w + 6 = f + 46. List the prime factors of w.
2, 3
Suppose 0 = 3*q - 2*t - 353, -3*q + 0*q + 343 = -4*t. List the prime factors of q.
11
Suppose w - 432 = 3*b, w - 859 = -w + b. List the prime factors of w.
3, 11, 13
Suppose 0*g = -g - 4*p + 8, -5*p + 44 = -3*g. List the prime factors of -1*1 - (g + 3).
2
Let o(f) = 4*f**2 + f + 14. List the prime factors of o(5).
7, 17
Let m = 0 + 4. Suppose -2*k + 5 = 3*z - 11, m*z - k - 14 = 0. Suppose 3*x = 2 + z. List the prime factors of x.
2
Let p(s) = 8*s - 2. Let w be p(3). Let q = -7 - 5. Let v = q + w. List the prime factors of v.
2, 5
Suppose 0*f - 54 = -2*f. What are the prime factors of f?
3
Let c be 4/(-3)*(-15)/10. Let p be (-51)/(-2) - c/(-4). Let t = -15 + p. List the prime factors of t.
11
Suppose 3*a - b - 107 = 0, 4*a - 5*b - 175 = -a. Let z(h) = -h**2 - 5*h + 8. Let v be z(-6). Suppose d + 2*d - a = -n, d - v = 3*n. List the prime factors of d.
11
Let q(m) = m**3 + 9*m**2 + 7*m - 6. What are the prime factors of q(-8)?
2
Suppose 0 = -2*f + 2*h - 4, -h + 7 + 1 = f. List the prime factors of 49/f + (-4)/12.
2
Suppose -189 = -4*m + 3. What are the prime factors of m?
2, 3
Suppose -5*p = -3*y - 63, y + 2*p = 2*y + 21. What are the prime factors of (56/y)/(1/(-3))?
2
Suppose 0 = -6*u + 2*u + 8, 0 = 5*t - 4*u - 817. List the prime factors of t.
3, 5, 11
Let f(v) be the first derivative of -v**4/4 - 2*v**3 + 7*v**2/2 + 5*v + 5. Let s = -1 - 6. List the prime factors of f(s).
5
Let u = -16 + 15. List the prime factors of (0 - -9)*u/(-3).
3
Suppose -11*r = 4*r - 3135. List the prime factors of r.
11, 19
Let w(a) = a - 1. Let j be w(3). Suppose 0*i + 16 = 4*i. Suppose -3*l = -3*u - 51, j*u + 2 = -i*l + 40. What are the prime factors of l?
2, 3
Suppose -3*s - 15 = -3*w, -3*s - 15 = 4*w - 3*w. Let y(u) = u. Let g be y(w). List the prime factors of (g - -3 - 1) + 0.
2
Suppose -14*u - 544 = -31*u. What are the prime factors of u?
2
List the prime factors of (-8)/(-44) + 933/11.
5, 17
Let g(t) = -t**3 + t**2 + t + 8. Let c be g(0). What are the prime factors of 20/6 + c/12?
2
Suppose -40 = -3*x + 62. Suppose -o = o - x. Suppose 2*w - 5 = o. What are the prime factors of w?
11
Let c(i) = -14*i**3 - 2*i**2 - 2*i - 1. What are the prime factors of c(-1)?
13
Suppose -i - 9 + 29 = 0. Suppose 0 = 5*b - 0 + i. What are the prime factors of (2 + b)*13/(-2)?
13
Suppose i = 4*i. Let p(o) = o - 5*o**2 + 10 + o**2 + 3*o**2. List the prime factors of p(i).
2, 5
Let c = 156 + -25. List the prime factors of c.
131
Suppose 96 = 3*m - 132. What are the prime factors of m?
2, 19
Let c be 395/45 + (-4)/(-18). Let d(l) = l**2 - 9*l. Let s be d(c). Suppose 5*r = -s*r + 20. List the prime factors of r.
2
Let b be (-2 + 0)*-2 - -2. Suppose 0 = -k + 3*k + b, k + 17 = c. List the prime factors of c.
2, 7
Suppose 0 = -0*i - 2*i + 10. Suppose -5*s + 60 = 5*r, 0 = s - r + i*r - 27. Suppose -4*u + s*u - 12 = 0. List the prime factors of u.
2
Let x = 6 - -15. Let j = -3 + 6. Suppose -4*i = -j*m + x, 4*m + 5*i - 32 = -4. List the prime factors of m.
7
Let o be -2 - ((-6)/(-3))/(-2). Let p(r) = -6*r. What are the prime factors of p(o)?
2, 3
Let l(x) = -x + 4. Let u be l(0). Suppose 13 = 5*a + 5*p - 7, u*a - 4*p = 0. List the prime factors of a.
2
Suppose -r = -3*r - 26. Let b = r - -23. Suppose 10 = 4*k - b. What are the prime factors of k?
5
Let h = -4 + 8. Let y(m) = m**2 + 6*m + 7. Let q be y(-6). Let v = q + h. List the prime factors of v.
11
Let b(a) = -3*a**3 - 3*a**2 + a + 4. Let d be b(-2). What are the prime factors of (0 - -2)/(2/d)?
2, 7
List the prime factors of (1 + -8)*(-20)/14.
2, 5
Let n = -11 - -34. What are the prime factors of n?
23
Let a(o) = -2*o. Let y be a(9). List the prime factors of 1 - (-1 + 3) - y.
17
Suppose -4*c + q + 70 = 0, -3*c + 2*q = -2*q - 46. List the prime factors of c.
2, 3
Let j be 2/8 - 38/(-8). Let y(v) = v**3 - 4*v**2 - 6*v + 4. Let d be y(j). What are the prime factors of 7 - (-2 - (-1 + d))?
7
Let v(w) = -5*w + 2. Let u be v(-2). Let g = u + -5. Let h = 4 + g. What are the prime factors of h?
11
Suppose -5*x + 3*u = -217, 2*u + 2*u = -5*x + 189. List the prime factors of x.
41
Let g(f) = 4*f**2 + 2*f. Let r(d) = -3*d**2 - 2*d - 1. Let h(s) = -2*g(s) - 3*r(s). List the prime factors of h(-5).
2, 3
Suppose 0 = 3*k + 2*k. Suppose -7 - 8 = 5*l. List the prime factors of k + 0 - (l - 2).
5
Let c(o) be the first derivative of -o**3/3 + 4*o**2 - 5*o + 1. Let r be c(7). Suppose -r*z + 4*p - 5*p = -22, 7 = -z - 5*p. List the prime factors of z.
13
Let c(j) be the second derivative of -3*j**3/2 + j**2/2 - 2*j. Let y be c(1). Let f = 18 + y. What are the prime factors of f?
2, 5
Let y = 9 - 5. Let i = 6 - y. Suppose 0 = -4*m + o + 70, 5*m - 81 = -i*o + 13. List the prime factors of m.
2, 3
Let z(d) = d - 3 - 7 + 4 + 2*d. List the prime factors of z(8).
2, 3
Suppose 5*j - 29 = -2*t + 183, -3*j + 4*t = -122. What are the prime factors of j?
2, 3, 7
Let s be (-238)/56 + (-2)/(-8). Let o(w) be the third derivative of -w**4/12 - w**3/2 - w**2. List the prime factors of o(s).
5
Let k(z) = -8*z + 6. What are the prime factors of k(-1)?
2, 7
Suppose 11*m - 6*m - 60 = 0. List the prime factors of m.
2, 3
Suppose -c + 4*t = -2, -3*c + 34 = -0*t + 2*t. What are the prime factors of 15/(-6)*-1*c?
5
Let d(o) = o**3 + 7*o**2 - o + 2. Suppose 4*y + y - 35 = -5*a, 5*a = 25. Suppose -14 = -0*c + y*c. List the prime factors of d(c).
3
Let r(w) = w**2 + 3*w - 7. Let a = -4 - 1. Let n be r(a). Suppose 6 = n*p - p. List the prime factors of p.
3
What are the prime factors of (8/(-3) - (-1)/(-3)) + 23?
2, 5
Let v = -6 + 0. Let t = v - -4. List the prime factors of (t*1)/((-1)/2).
2
Suppose -2*r = 2 - 12. Suppose -2*t = -r - 5. Suppose -4 = x + 3*g, -25 = -x - x + t*g. List the prime factors of x.
5
Let w be 1 + (-12)/3 + 37. Let u = -16 + w. What are the prime factors of u?
2, 3
Let g(j) = -j. Let i(f) = -f**2 - 13*f - 9. Let c(q) = -5*g(q) + i(q). Let l = -4 + -2. List the prime factors of c(l).
3
Let p(j) = j**3 + 4*j**2 - 6*j - 3. Let d be p(-5). Suppose 3*q - 7 = d*q. What are the prime factors of q?
7
Let o be 2/5 + 24/(-10). Let u be (-141)/(-27) + o/9. Suppose 0 = -2*k - t + 23, -u*k + 2*t = -4*k - 24. What are the prime factors of k?
2, 7
Suppose 10*j - 649 - 891 = 0. What are the prime factors of j?
2, 7, 11
Let t = 72 + 40. What are the prime factors of t?
2, 7
Let p be -1 - -3 - (-1 - -1). Let t(j) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
?
45185712
What is the least common multiple of 672 and 1152?
8064
What is the common denominator of 23/106353 and 71/4434102?
57643326
What is the lowest common multiple of 265086080 and 24851820?
795258240
Find the common denominator of -2/33183 and 37/2569839.
23128551
Calculate the least common multiple of 1536 and 840801.
430490112
What is the least common multiple of 70383 and 120541?
10487067
Calculate the common denominator of -67/2304010 and 41/13227728.
1124356880
Find the common denominator of 115/6 and 113/6801456.
6801456
What is the least common multiple of 24235463 and 76168598?
533180186
What is the common denominator of 27/253 and 18/2292065?
25212715
What is the least common multiple of 1440 and 1524556?
548840160
Calculate the common denominator of -91/562402 and -14/39339.
15184854
What is the common denominator of -97/168882 and -67/11564?
139496532
Calculate the smallest common multiple of 1706242 and 82.
69955922
What is the lowest common multiple of 98472 and 2511036?
5022072
Calculate the common denominator of 89/624285 and 139/1248570.
1248570
Find the common denominator of -58/4343457 and -35/47994.
8686914
Calculate the common denominator of -11/541470 and -4/8817.
1591380330
Calculate the common denominator of -55/13433 and 36/2062925.
14440475
Calculate the smallest common multiple of 1512 and 5741280.
40188960
What is the common denominator of -76/23844729 and -36/45907?
691497141
Find the common denominator of 73/52148430 and -101/156445290.
156445290
Calculate the common denominator of 65/4734 and 25/169372.
1524348
Find the common denominator of 51/557579 and 8/4207187.
46279057
What is the common denominator of 61/90 and -73/95488785?
190977570
What is the lowest common multiple of 90788490 and 1073150?
453942450
What is the common denominator of -91/12452 and -49/71558248?
787140728
Find the common denominator of 47/561786 and 85/5154.
561786
Calculate the common denominator of 47/42160 and -42/8215.
2234480
Calculate the common denominator of 77/6285 and -44/83442593.
1251638895
What is the lowest common multiple of 13788042 and 132?
303336924
What is the lowest common multiple of 8 and 6771267?
54170136
What is the least common multiple of 37314 and 27037448?
730011096
Find the common denominator of 45/3982 and -39/36368692.
400055612
Find the common denominator of -31/44903000 and 91/4.
44903000
Calculate the lowest common multiple of 7 and 34326434.
240285038
What is the common denominator of -47/18 and 31/8122602?
24367806
Calculate the lowest common multiple of 1360 and 176858480.
176858480
Calculate the smallest common multiple of 63 and 23256.
162792
Find the common denominator of 16/150453663 and -67/6.
300907326
Calculate the lowest common multiple of 28859901 and 3980676.
115439604
What is the common denominator of 103/261434000 and -71/8?
261434000
What is the least common multiple of 58234648 and 859552?
232938592
Find the common denominator of -8/39 and -9/18200429.
54601287
What is the common denominator of -19/368 and 35/20029918?
160239344
Calculate the lowest common multiple of 73296 and 8251908.
99022896
Calculate the lowest common multiple of 811249 and 77791.
5678743
What is the least common multiple of 11301362 and 73458853?
146917706
Calculate the smallest common multiple of 1277244 and 54921492.
54921492
What is the common denominator of 25/10206 and 163/1547910?
4643730
Find the common denominator of -6/226469 and 121/48.
10870512
Find the common denominator of 1/3474 and -19/90131.
1622358
Calculate the common denominator of -121/14250 and -97/642882.
1526844750
Find the common denominator of -87/1581604 and 37/37334.
17397644
Calculate the lowest common multiple of 786287 and 234837.
686428551
Calculate the common denominator of -53/2838 and -31/48056.
68191464
Calculate the smallest common multiple of 27050 and 443620.
2218100
What is the smallest common multiple of 2972 and 8388?
6232284
Calculate the least common multiple of 230 and 6680143.
66801430
What is the smallest common multiple of 183 and 19845081?
1210549941
What is the lowest common multiple of 27153 and 8469?
25550973
Calculate the common denominator of -37/117626744 and -7/161736773.
1293894184
Find the common denominator of -73/2125000 and 16/11875.
40375000
What is the common denominator of 10 and 64/6550533?
6550533
What is the smallest common multiple of 11172 and 2857980?
140041020
Calculate the common denominator of -61/484 and -9/40473928.
445213208
What is the common denominator of 97/30384 and -151/36?
30384
Calculate the common denominator of 5/718147 and -9/55.
39498085
Calculate the common denominator of 113/36 and 63/10493348.
94440132
What is the least common multiple of 833625 and 76637925?
1149568875
Find the common denominator of 82/11512809 and -65/27.
34538427
Calculate the common denominator of -19/171972 and -47/14034.
402242508
Calculate the common denominator of -19/1155825 and 8/1133.
119049975
Calculate the common denominator of 29/26083155 and -19/945.
234748395
Calculate the least common multiple of 278308 and 1768274.
144998468
Calculate the smallest common multiple of 10 and 173627372.
868136860
Calculate the least common multiple of 924 and 38127705.
152510820
What is the least common multiple of 498054 and 747081?
1494162
Calculate the least common multiple of 62552209 and 515.
312761045
What is the common denominator of -71/18900 and -47/321300?
321300
What is the common denominator of -69/56438 and -1/39?
2201082
Find the common denominator of -89/5675480 and -123/246760.
5675480
Calculate the common denominator of -115/2936136 and -41/210.
14680680
What is the common denominator of 27/188917124 and -107/223265692?
2455922612
What is the smallest common multiple of 777329 and 104308?
276729124
Calculate the common denominator of 119/18980 and 5/3575832.
17879160
What is the common denominator of 31/1369 and 73/6372695?
6372695
What is the common denominator of 2/28311893 and -89/1432?
226495144
What is the smallest common multiple of 134571 and 589?
2556849
Calculate the common denominator of 67/2684 and -147/228140.
228140
What is the smallest common multiple of 14 and 26795636?
26795636
What is the least common multiple of 292188 and 522?
25420356
Find the common denominator of 101/69956446 and -101/126.
629608014
What is the least common multiple of 264180 and 6364?
11359740
Calculate the least common multiple of 3932 and 14576.
14328208
Calculate the common denominator of -16/35 and 67/317729475.
317729475
What is the lowest common multiple of 3467520 and 18576?
10402560
What is the common denominator of 77/47487904 and -23/52?
617342752
Calculate the smallest common multiple of 2746539 and 181890.
27465390
Calculate the smallest common multiple of 5085740 and 129177796.
645888980
Calculate the common denominator of 91/4727070 and -161/29730.
4727070
What is the common denominator of -33/1901660 and 143/2852490?
5704980
Calculate the common denominator of -97/10314 and -11/411024.
706550256
What is the smallest common multiple of 10607643 and 513?
31822929
What is the least common multiple of 77 and 625549045?
4378843315
Calculate the smallest common multiple of 11301620 and 220.
11301620
Find the common denominator of -109/16698 and 7/445038.
10235874
What is the common denominator of 17/797 and 52/51997?
41441609
Calculate the common denominator of 37/12790 and -40/4874269.
48742690
What is the smallest common multiple of 12653629 and 6?
75921774
Calculate the least common multiple of 51790 and 121140.
627384060
Calculate the lowest common multiple of 479440 and 3595800.
7191600
Calculate the lowest common multiple of 1416 and 41979444.
83958888
Find the common denominator of -11/12959726 and -75/15704.
51838904
Calculate the least common multiple of 1018600 and 56.
7130200
Calculate the common denominator of -47/4 and -41/4780264.
4780264
What is the least common multiple of 343 and 13602547?
95217829
Calculate the lowest common multiple of 221755 and 3985.
176738735
Calculate the common denominator of 29/87800 and 1/14100.
12379800
What is the smallest common multiple of 34721271 and 1872?
555540336
Calculate the least common multiple of 31853233 and 1.
31853233
Find the
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3*p. Determine y(q(g)).
12*g + 3
Let f(c) be the third derivative of -c**5/60 - c**2. Let x(l) be the third derivative of -l**4/12 - 2*l**2. What is x(f(u))?
2*u**2
Let h(z) = 9*z. Let j(y) = -5*y. Let k(a) = 3*h(a) + 5*j(a). Let m(p) = -42 - 34 - p + 76. Determine k(m(r)).
-2*r
Let s(o) = 0 + 2*o**2 + 0. Let p(m) be the first derivative of -m**5/24 - 7*m**3/3 - 5. Let r(f) be the third derivative of p(f). Determine s(r(g)).
50*g**2
Let u(b) = -b**2 + b - 1. Let n(v) = -v**2 + 6*v - 6. Let i(z) = -n(z) + 6*u(z). Let s(w) = 3*w. Give i(s(x)).
-45*x**2
Let y(h) = -h**2 + 5*h + 2. Let g be y(5). Let v(b) = -g*b**2 + 9 - 9. Let s(i) = -i**2. Calculate s(v(j)).
-4*j**4
Let g(j) = -218*j**2 - 1. Let w(d) = -79*d. Calculate w(g(t)).
17222*t**2 + 79
Let d(s) be the first derivative of 1/3*s**3 + 0*s + 0*s**2 + 1. Let h(c) be the first derivative of -c**3/3 + 21. Give h(d(z)).
-z**4
Let h(m) = -7*m**2. Let c(x) = -x**2 - 166 + 166. What is h(c(g))?
-7*g**4
Let i(z) be the first derivative of z**3/3 + 39. Let g(f) = 2*f. Give g(i(r)).
2*r**2
Let k(t) = 14*t + 2. Let j(n) = 10*n**2. Calculate k(j(y)).
140*y**2 + 2
Let i(t) = -120*t**2 + 36. Let h(c) = -17*c**2 + 5. Let a(y) = 36*h(y) - 5*i(y). Let m(w) = -8*w. Give m(a(f)).
96*f**2
Let i(u) = -u - 2. Let k be i(-9). Let n(w) = -k*w + 4*w + w. Let p(q) = 6*q**2 - 5*q - 5. Let f(v) = v**2 - v - 1. Let s(m) = 5*f(m) - p(m). What is s(n(d))?
-4*d**2
Let i(z) be the third derivative of 1/24*z**4 - z**2 + 0 + 0*z + 0*z**3. Let a(x) = -2*x. Determine a(i(m)).
-2*m
Let i(a) = -a + 13. Let f be i(8). Let t(q) = q**2 + 4*q**2 - f*q**2 - 2*q**2. Let y(j) = -j**2. Calculate y(t(c)).
-4*c**4
Let n(i) = -2*i**2. Let g(h) = -24*h**2. Calculate g(n(v)).
-96*v**4
Let y(l) = -5*l. Let m(f) be the third derivative of f**8/5040 - f**5/15 - f**2. Let a(z) be the third derivative of m(z). What is y(a(i))?
-20*i**2
Let n(r) be the first derivative of -r**5/60 - r**3 + 4. Let m(l) be the third derivative of n(l). Let j(x) = -4*x**2. Give m(j(a)).
8*a**2
Let v(y) = 14*y**2. Let j(f) = -4*f + 16. What is j(v(a))?
-56*a**2 + 16
Let i(k) = 3*k + 6. Let y(x) = -3*x + 5*x + 0*x. What is i(y(s))?
6*s + 6
Let z(w) = -6*w**2. Let i(g) = g. Let a(x) = 3*x. Let v(q) = -4*a(q) + 10*i(q). Determine v(z(r)).
12*r**2
Let f(c) = 80*c**2 - 24*c. Let g(d) = -16*d**2 + 5*d. Let m(y) = 5*f(y) + 24*g(y). Let l(s) = -2*s. Determine m(l(r)).
64*r**2
Let r(o) = -o. Let d(k) be the first derivative of -k**6/72 - 4*k**3/3 + 1. Let j(h) be the third derivative of d(h). Determine j(r(y)).
-5*y**2
Let t(q) = 8*q**2. Suppose 53*a = 45*a. Let g(k) be the second derivative of 0*k**2 + 0 + 1/6*k**4 - k + a*k**3. What is g(t(w))?
128*w**4
Let x(s) = s**2 + s**2 - s**2 + 3*s**2. Let u(c) be the second derivative of -c + 0*c**2 - 1/6*c**3 + 0. Give u(x(w)).
-4*w**2
Let w(u) = 6*u. Let n(x) = 1135*x**2 + 2. What is w(n(a))?
6810*a**2 + 12
Let w(t) = -2*t. Let x(a) = 23 - 13 - 10 - 3*a. Determine x(w(l)).
6*l
Let h(y) = 255*y**2. Let m(a) = -a. What is h(m(r))?
255*r**2
Let w(d) = 2*d**2. Let c(j) = 301*j. Determine c(w(v)).
602*v**2
Let z(l) = -l. Let o(i) = -11415*i**2. Determine o(z(u)).
-11415*u**2
Let s(v) = v**2. Let p(b) = b + 1. Let d(z) = -10*z**2 + 20*z + 20. Let i(k) = d(k) - 20*p(k). Determine i(s(m)).
-10*m**4
Let w(d) be the third derivative of d**4/12 + 16*d**2. Let g(z) = -4*z. Calculate w(g(f)).
-8*f
Suppose 5*q - 3*y = -6*y + 36, 0 = 5*q - 4*y - 57. Let s(z) = -2*z - 8*z + q*z. Let o(f) = -f + 5. Let k(p) = 1. Let c(t) = 5*k(t) - o(t). Determine c(s(r)).
-r
Let j(b) = -9*b. Let n(i) = 326*i**2. Give n(j(q)).
26406*q**2
Let v(u) = 0*u**2 + u**2 - 3*u**2 - 5 + 3*u**2. Let q(h) = 4*h**2 - 16. Let j(m) = -5*q(m) + 16*v(m). Let a(g) = g. What is j(a(f))?
-4*f**2
Let r(m) = 1. Let w(c) = -c + 1. Let k(n) = r(n) - w(n). Let a(z) = -66 + 66 + 5*z**2. What is a(k(v))?
5*v**2
Let w(x) be the second derivative of x**4/12 - x**3/2 - 3*x**2/2 + x. Let f(d) = -d - 1. Let p(b) = 15*f(b) - 5*w(b). Let m(r) = -3*r. Determine m(p(q)).
15*q**2
Let n(d) = -15*d. Let c(q) = 17*q**2 - 13*q - 13. Let b(y) = 8*y**2 - 6*y - 6. Let m(f) = 13*b(f) - 6*c(f). Give m(n(r)).
450*r**2
Let v(r) = -r. Let w(d) be the second derivative of d**3/6 - 7*d. Give v(w(t)).
-t
Let f(j) = 4*j**2. Let o(n) be the first derivative of 0*n**2 - 1 - 2*n**2 + n**2. Calculate f(o(i)).
16*i**2
Let u(m) = 0 + 0 + m. Let v(b) be the third derivative of -b**5/20 + 3*b**2. Give u(v(s)).
-3*s**2
Let p(d) = -2*d**2. Let k(v) = -494*v**2. Calculate k(p(b)).
-1976*b**4
Let t(h) be the second derivative of h**4/3 - 22*h. Let x(s) = -s - 2*s + s. Determine x(t(j)).
-8*j**2
Suppose -3*n = -2*z - 9, -12 = -4*n - 3*z + 4*z. Let t(g) be the first derivative of 2/3*g**n + 0*g + 0*g**2 + 1. Let q(r) = -2*r**2. What is q(t(s))?
-8*s**4
Let p(w) = 4*w**2 - 4*w + 4*w. Let a(s) = -s. What is a(p(i))?
-4*i**2
Let f(v) = -3*v**2. Let g(x) = -53*x**2 + 35*x**2 + 31*x**2. Calculate g(f(m)).
117*m**4
Let v(t) = -362*t + 0 + 372*t + 0. Let c(b) = b**2. Determine c(v(f)).
100*f**2
Let k(g) = -41*g**2 - g. Let o(v) = -12*v**2. Give k(o(f)).
-5904*f**4 + 12*f**2
Let u(w) = -4*w + 4. Let a(c) = -c**2 + 9*c - 9. Let i(v) = -4*a(v) - 9*u(v). Let k(x) = 5*x**2 + 2*x**2 - 4*x**2. Calculate i(k(z)).
36*z**4
Let b(o) = o. Let v(j) = 9*j**2 + 10*j. Let u(c) = -c**2 - 2*c. Let w(z) = 5*u(z) + v(z). Determine b(w(a)).
4*a**2
Let b(c) = -5*c + 4*c + 2*c. Let u(s) = 83*s. Give u(b(k)).
83*k
Let v(u) = -2*u - 29. Let f(r) = -16*r**2. What is v(f(m))?
32*m**2 - 29
Let w(c) = c. Let d(l) = -l**2 + 6*l + 1. Let q(j) = d(j) - 6*w(j). Let v(b) be the first derivative of q(b). Let p(n) = n + 614 - 614. Calculate p(v(i)).
-2*i
Let j = -4 + 6. Let u(b) = -2*b**2 - j*b**2 + 2*b**2 - b**2. Let x(g) be the third derivative of -g**4/24 - g**2. What is x(u(w))?
3*w**2
Let v(j) = -28*j**2 + 2*j. Let y(n) = -5*n. What is y(v(c))?
140*c**2 - 10*c
Let u(z) = -3*z**2. Let g(y) = -4*y**2 + 14. Give u(g(t)).
-48*t**4 + 336*t**2 - 588
Let m(i) = 525*i**2. Let p(l) = -2*l. Determine m(p(j)).
2100*j**2
Let k(w) = -w**2. Let c(u) = u + 6. Let v(j) be the second derivative of j**2/2 + j. Let z(a) = -c(a) + 6*v(a). Determine k(z(t)).
-t**2
Let w(s) = s. Let o(r) = 63*r + 5. Let z(x) = 1102*x + 87. Let c(b) = 87*o(b) - 5*z(b). Calculate c(w(n)).
-29*n
Let b(z) = -3*z**2 + 3*z - 3. Suppose -20 = 7*t - 2*t. Let x(v) = -2 - 4 + 4*v + 2 - 3*v**2. Let n(u) = t*b(u) + 3*x(u). Let h(r) = -2*r**2. Determine n(h(s)).
12*s**4
Let s(z) = 9*z. Let i(u) = 236*u. What is i(s(y))?
2124*y
Let m(k) = -2676*k**2. Let f(v) = -2*v. Calculate f(m(p)).
5352*p**2
Let v(s) = s**2. Let l(d) = -3686*d. Determine v(l(f)).
13586596*f**2
Let a(q) = -q**2. Let g(z) = 340*z. Calculate a(g(k)).
-115600*k**2
Let x(g) be the first derivative of 156*g**2 - 32*g - 2. Let q(w) = 48*w - 5. Let m(v) = -32*q(v) + 5*x(v). Let d(r) = r. Determine d(m(k)).
24*k
Let t(c) = -c. Let z(f) = -f. Let i(u) = -5*t(u) + 4*z(u). Let x(p) = -23*p**2. Determine i(x(r)).
-23*r**2
Let b(y) be the first derivative of 22*y**2 - 4. Let v(p) = 9*p. Let t(u) = -5*b(u) + 24*v(u). Let n(a) = -2*a. Calculate n(t(j)).
8*j
Let g(r) = 11*r**2 + 2*r**2 + 3*r**2 - 4*r**2. Let o(p) = -3*p**2 + 3*p**2 - 2*p**2. Give g(o(s)).
48*s**4
Suppose 35 = 4*r + 175. Let u be (-1)/((-2)/4 + 0). Let f(j) = -120*j - 35. Let w(l) = -7*l - 2. Let i(d) = r*w(d) + u*f(d). Let k(g) = 2*g. Calculate k(i(s)).
10*s
Let y(k) = k + 70. Let j(r) = 10*r. Determine y(j(g)).
10*g + 70
Let p(o) = 117*o. Let b(t) = -7*t**2. Give b(p(y)).
-95823*y**2
Let t(s) = -1 - s + 1. Let o(p) be the second derivative of p + 0*p**2 - 1/3*p**3 + 0. Determine o(t(x)).
2*x
Let q(z) = z. Let f(m) = 1187*m + 1. Determine q(f(b)).
1187*b + 1
Let j(a) = -6912*a. Let r(d) = -2*d**2. Determine r(j(h)).
-95551488*h**2
Let t(y) = 6*y. Let n(i) = 26*i**2. What is t(n(c))?
156*c**2
Let f(j) = 2*j. Let c(t) = -7*t**2. Give c(f(r)).
-28*r**2
Let o(s) = 2*s. Let h(g) be the first derivative of 0*g + 3/2*g**2 - 1. Give h(o(f)).
6*f
Let b(j) = 3*j**2 + 2. Let t = 9 - 16. Let p(k) = 10*k**2 + 7. Let m(o) = t*b(o) + 2*p(o). Let a(h) = 3*h - 4*h - h. Give m(a(i)).
-4*i**2
Let x(j) = 7*j + 11. Let o = 4 + -15. Let m(q) = -4*q - 6. Let k(l) = o*m(l) - 6*x(l). Let r(s) = -4*s**2. What is k(r(i
|
{
"pile_set_name": "DM Mathematics"
}
|
847 and 284977.
3134747
Find the common denominator of -53/168 and 83/756.
1512
Calculate the least common multiple of 35 and 106585.
746095
Calculate the common denominator of -79/567 and -143/2268.
2268
What is the smallest common multiple of 66 and 1000032?
1000032
Find the common denominator of -139/18096 and -1/5278.
126672
What is the common denominator of 39/4265 and 28/3?
12795
Find the common denominator of -27/2996 and 111/10486.
20972
What is the smallest common multiple of 40 and 17375?
139000
What is the common denominator of -83/12 and -101/127696?
383088
Calculate the smallest common multiple of 417 and 834.
834
Calculate the common denominator of -54/3619 and 54/329.
3619
What is the lowest common multiple of 61659 and 459?
184977
Find the common denominator of 40/4011 and -55/51.
68187
Calculate the common denominator of -79/28380 and 81/836.
539220
Find the common denominator of 95/3346 and 95/3346.
3346
What is the common denominator of -93/292006 and 8/33?
876018
Calculate the smallest common multiple of 342 and 3024.
57456
Calculate the least common multiple of 204 and 3564.
60588
What is the smallest common multiple of 30 and 1209756?
6048780
Calculate the common denominator of -35/4896 and -41/2295.
73440
What is the least common multiple of 8022 and 354?
473298
What is the lowest common multiple of 844 and 86?
36292
What is the common denominator of 57/176 and -5/20944?
20944
What is the common denominator of 127/342 and 13/184072?
1656648
What is the smallest common multiple of 16 and 581318?
4650544
Find the common denominator of -31/1602 and -23/16020.
16020
Calculate the least common multiple of 3248 and 370.
600880
Calculate the common denominator of -85/1434 and -99/136.
97512
Calculate the lowest common multiple of 260688 and 12.
260688
Find the common denominator of -65/8 and -31/73316.
146632
Calculate the lowest common multiple of 7191 and 423.
7191
Calculate the least common multiple of 4410 and 5.
4410
Find the common denominator of 48/12869 and -67/19682.
334594
Find the common denominator of -7/1595 and -3/4814.
264770
What is the common denominator of -23/6720 and -23/240?
6720
What is the smallest common multiple of 1870 and 638?
54230
What is the common denominator of -19/20428 and 89/168?
857976
Calculate the common denominator of -79/1119498 and 44/21.
7836486
Find the common denominator of 143/1264662 and -151/1987326.
13911282
What is the least common multiple of 762 and 102?
12954
What is the smallest common multiple of 5928 and 572?
65208
What is the smallest common multiple of 336 and 17682?
141456
What is the common denominator of -79/19238 and 63/2?
19238
What is the common denominator of 93/4 and -28/1255507?
5022028
What is the common denominator of -91/144 and 107/180?
720
What is the least common multiple of 1360 and 320?
5440
What is the lowest common multiple of 455690 and 91138?
455690
Calculate the common denominator of 121/6858 and 37/73152.
219456
What is the least common multiple of 1020 and 221?
13260
Calculate the lowest common multiple of 55152 and 63.
386064
Calculate the smallest common multiple of 57846 and 10.
289230
Calculate the common denominator of -81/460 and 193/52800.
1214400
What is the smallest common multiple of 101500 and 45500?
1319500
Find the common denominator of 47/215688 and 61/19608.
215688
Calculate the smallest common multiple of 12908 and 384.
1239168
What is the least common multiple of 2070 and 18?
2070
What is the lowest common multiple of 2034 and 143736?
431208
Find the common denominator of 73/33 and -19/8757.
96327
What is the common denominator of 5/2108591 and 37/3?
6325773
Calculate the smallest common multiple of 189 and 7308.
21924
Find the common denominator of 91/1744 and -83/68.
29648
Calculate the common denominator of -89/14274 and 41/216.
171288
What is the common denominator of 3/3592 and 33/56?
25144
What is the common denominator of 89/688260 and -47/84?
4817820
What is the common denominator of -36/431 and 2/11621?
5008651
What is the least common multiple of 12272 and 248?
380432
Calculate the smallest common multiple of 66852 and 2.
66852
Calculate the least common multiple of 4 and 2892139.
11568556
What is the lowest common multiple of 45936 and 5104?
45936
Find the common denominator of -51/1078 and -69/25676.
282436
Calculate the least common multiple of 14751 and 1827.
2994453
Calculate the lowest common multiple of 347355 and 5976.
2778840
Calculate the common denominator of 34/10685 and 31/85480.
85480
Find the common denominator of 37/162512 and 55/487536.
487536
Calculate the least common multiple of 54635 and 1338.
327810
Calculate the common denominator of -125/528 and 131/6600.
13200
What is the lowest common multiple of 4356 and 2088?
252648
Calculate the lowest common multiple of 81432 and 1044.
81432
Calculate the smallest common multiple of 17370 and 5018.
225810
Calculate the lowest common multiple of 734720 and 19680.
2204160
Find the common denominator of -101/888 and 29/11100.
22200
Calculate the common denominator of 79/45 and -2/13805.
124245
Calculate the least common multiple of 90 and 966.
14490
Find the common denominator of -43/6 and 119/1624040.
4872120
Calculate the least common multiple of 30 and 81340.
244020
What is the common denominator of -179/1848 and 1/2268?
49896
Calculate the smallest common multiple of 106008 and 10096.
212016
What is the common denominator of -59/64 and -25/101664?
203328
Find the common denominator of 161/66 and 13/118878.
1307658
Find the common denominator of 83/6680 and -58/69.
460920
Calculate the common denominator of -25/1064 and 33/75278.
301112
Find the common denominator of -20/113343 and -49/3.
113343
Calculate the lowest common multiple of 41240 and 56705.
453640
What is the common denominator of -113/2800 and 106/105?
8400
What is the common denominator of 53/181357 and -47/16487?
181357
What is the least common multiple of 6 and 1473879?
2947758
What is the common denominator of 169/30600 and 137/459000?
459000
Calculate the common denominator of 17/1722 and -91/246.
1722
What is the common denominator of 63/20 and -3/388?
1940
What is the lowest common multiple of 108 and 917?
99036
Calculate the least common multiple of 15660 and 6264.
31320
What is the common denominator of 31/213890 and -179/6570?
1925010
What is the least common multiple of 62696 and 47022?
188088
What is the common denominator of -65/2446 and 17/310?
379130
Find the common denominator of -67/28222 and -7/7398.
761994
What is the smallest common multiple of 36516 and 17184?
292128
Calculate the least common multiple of 1350 and 1728.
43200
Calculate the common denominator of -51/318796 and 67/2.
318796
Calculate the least common multiple of 93 and 77748.
77748
What is the common denominator of 167/132360 and -115/52944?
264720
Calculate the smallest common multiple of 2 and 781040.
781040
Calculate the least common multiple of 63260 and 11.
695860
Calculate the common denominator of -85/84 and 95/458136.
458136
What is the least common multiple of 160512 and 1482?
2086656
What is the common denominator of -87/46102 and -19/18?
414918
Calculate the lowest common multiple of 27 and 79875.
239625
What is the least common multiple of 122 and 6466?
6466
What is the lowest common multiple of 67536 and 1?
67536
Calculate the least common multiple of 17376 and 420.
608160
Calculate the lowest common multiple of 24013 and 370.
240130
Calculate the lowest common multiple of 10 and 65275.
130550
What is the common denominator of -5/21991 and -47/7?
153937
Calculate the smallest common multiple of 15204 and 12670.
76020
What is the least common multiple of 552 and 1794?
7176
Calculate the lowest common multiple of 387 and 21070.
189630
Calculate the common denominator of 107/7960 and -53/256.
254720
Calculate the lowest common multiple of 1925 and 63000.
693000
Calculate the common denominator of -1/183 and -2/1113.
67893
What is the smallest common multiple of 3350 and 36180?
180900
Calculate the common denominator of -37/1392 and -97/73602.
588816
Find the common denominator of -181/300 and -71/3900.
3900
Calculate the common denominator of 47/7300 and 7/276.
503700
Find the common denominator
|
{
"pile_set_name": "DM Mathematics"
}
|
the common denominator of 19/112 and 1/206.
11536
Calculate the lowest common multiple of 166518 and 5.
832590
What is the lowest common multiple of 165 and 132?
660
Find the common denominator of -109/15435 and 16.
15435
Calculate the lowest common multiple of 4761 and 1587.
4761
What is the smallest common multiple of 729342 and 450?
18233550
What is the smallest common multiple of 127008 and 28512?
1397088
Find the common denominator of -101/695884 and 99/40.
6958840
Find the common denominator of -61/26 and 87/27718.
360334
What is the common denominator of -45/328 and -87/19516?
39032
Calculate the common denominator of 79/262710 and -119/540.
525420
What is the lowest common multiple of 1914960 and 24?
1914960
What is the least common multiple of 48 and 16869?
269904
Find the common denominator of -11/1460 and 83/292.
1460
Calculate the lowest common multiple of 1848 and 142296.
142296
Calculate the lowest common multiple of 20 and 26236696.
131183480
What is the common denominator of 83/2 and 23/133346?
133346
Calculate the common denominator of 55/12 and -29/576153.
2304612
What is the least common multiple of 291720 and 1989?
875160
What is the common denominator of -83/588 and -23/882?
1764
Calculate the common denominator of 33/108500 and 69/22.
1193500
What is the smallest common multiple of 171 and 374544?
7116336
What is the common denominator of -113/9366 and 121/846?
1320606
What is the least common multiple of 15330 and 1785?
260610
Calculate the common denominator of 131/12 and -55/61236.
61236
Calculate the lowest common multiple of 272 and 384880.
384880
Calculate the smallest common multiple of 6344 and 1040.
63440
Calculate the common denominator of -25/6 and -95/119556.
119556
Calculate the common denominator of -53/6981 and 41/81445.
244335
Find the common denominator of -38/971025 and 37/349569.
8739225
Find the common denominator of -49/516 and 75/64.
8256
What is the least common multiple of 8360 and 4180?
8360
What is the smallest common multiple of 14 and 34846?
34846
What is the least common multiple of 155214 and 25869?
155214
Calculate the common denominator of 97/372294 and -35/330928.
2978352
What is the least common multiple of 6 and 725478?
725478
Calculate the least common multiple of 82 and 227222.
227222
Calculate the lowest common multiple of 132 and 92103.
368412
Find the common denominator of 103/5634 and -121/7512.
22536
What is the common denominator of -121/100 and 3/8950?
17900
Calculate the common denominator of -83/15057 and 2/63.
15057
Calculate the common denominator of 19/40 and 101/269120.
269120
What is the smallest common multiple of 26 and 7586?
98618
Find the common denominator of -37/16688 and -31/56.
16688
Find the common denominator of 133/18 and -143/153396.
153396
Calculate the smallest common multiple of 50056 and 275308.
550616
What is the least common multiple of 39 and 66090?
859170
What is the lowest common multiple of 2033 and 5?
10165
What is the common denominator of 4/4527 and 74/27?
13581
Find the common denominator of -62/18285 and -123/20.
73140
Calculate the lowest common multiple of 41261 and 10527.
3589707
Calculate the least common multiple of 20 and 1672700.
1672700
What is the common denominator of 145/2814 and -67/198?
92862
Find the common denominator of 97/396 and 115/2568.
84744
Find the common denominator of -19/132 and 8/33231.
132924
What is the common denominator of -77/244 and 17/373564?
373564
Calculate the smallest common multiple of 6360 and 256.
203520
Calculate the common denominator of -19/28912 and -55/28912.
28912
Find the common denominator of 57/8 and -67/254936.
254936
Calculate the least common multiple of 8335 and 220.
366740
Calculate the common denominator of -45/88 and -101/169120.
1860320
What is the common denominator of 83/148382 and -89/2?
148382
Find the common denominator of -25/1581088 and -61/395272.
1581088
Find the common denominator of 11/50778 and -94/42315.
253890
What is the common denominator of 20/937 and 26/205?
192085
What is the smallest common multiple of 20770 and 775?
103850
What is the smallest common multiple of 7055 and 11985?
994755
What is the lowest common multiple of 5994 and 1036?
83916
What is the lowest common multiple of 747 and 14148?
1174284
Find the common denominator of -89/58784 and -5/4676.
411488
Calculate the common denominator of 111/130 and 63/358.
23270
Calculate the common denominator of 87/98294 and 45/106967.
3636878
Calculate the least common multiple of 39188 and 203.
7955164
Calculate the common denominator of 107/204 and -7/1320.
22440
What is the least common multiple of 66 and 24420?
24420
What is the common denominator of 33/556 and 81/4996?
694444
What is the least common multiple of 344354 and 1033062?
1033062
Find the common denominator of -91/161682 and -17/4.
323364
Calculate the lowest common multiple of 20566 and 565.
102830
Find the common denominator of 101/1078 and -163/151410.
1665510
Calculate the common denominator of -23/1833 and 71/78819.
78819
Calculate the common denominator of -157/30 and 11/49295.
295770
What is the smallest common multiple of 52060 and 21920?
416480
Calculate the lowest common multiple of 15 and 928038.
4640190
Find the common denominator of 79/243992 and 57/196.
1707944
What is the common denominator of -41/594 and 127/45252?
497772
Find the common denominator of -143/239604 and 5/12.
239604
Find the common denominator of -79/734994 and 26/33.
8084934
What is the smallest common multiple of 188 and 132?
6204
Calculate the common denominator of -32/19 and 113/20710.
20710
Calculate the smallest common multiple of 5721 and 320376.
320376
What is the common denominator of 41/1029 and 43/4347?
213003
What is the lowest common multiple of 11432 and 1170?
6687720
Calculate the smallest common multiple of 2535 and 234.
15210
Calculate the common denominator of -81/22715 and 19/7139.
249865
Calculate the least common multiple of 7100 and 28.
49700
What is the common denominator of -9/4280 and 73/1605?
12840
What is the smallest common multiple of 99465 and 390?
2586090
What is the smallest common multiple of 576 and 64?
576
Calculate the common denominator of 46/203135 and -43/35.
1421945
What is the lowest common multiple of 29718 and 180?
297180
Find the common denominator of -97/56160 and 59/8640.
112320
What is the common denominator of 19/17563 and -20/82797?
579579
Calculate the least common multiple of 9 and 223392.
670176
Calculate the smallest common multiple of 349440 and 384384.
3843840
Find the common denominator of 29/12717 and -119/6.
25434
Find the common denominator of -47/2001 and 28/18009.
18009
Calculate the common denominator of 63/4 and -23/1756712.
1756712
What is the common denominator of 119/66 and 83/72?
792
Calculate the common denominator of -1/117 and 7/5192.
607464
Calculate the lowest common multiple of 886298 and 1392754.
9749278
What is the common denominator of 119/22026 and 38/11?
242286
What is the lowest common multiple of 54225 and 105?
379575
Calculate the common denominator of 49/44424 and -91/32.
177696
Calculate the common denominator of 33/1118 and 97/148.
82732
Calculate the least common multiple of 35739 and 684.
142956
What is the smallest common multiple of 8298 and 468?
215748
What is the common denominator of -73/63756 and -65/13524?
446292
What is the least common multiple of 111834 and 99408?
894672
Calculate the lowest common multiple of 65442 and 327210.
327210
Find the common denominator of -19/2940 and 38/315.
8820
What is the common denominator of 43/139568 and -45/143?
139568
Calculate the lowest common multiple of 137925 and 250.
1379250
What is the common denominator of 1/148815 and 13/6614?
297630
What is the least common multiple of 172 and 1564?
67252
What is the smallest common multiple of 102562 and 8?
410248
What is the least common multiple of 44709 and 14903?
44709
Find the common denominator of -61/56685 and 25/41569.
623535
Calculate the common denominator of 43/160 and 89/42528.
212640
Calculate the lowest common multiple of 2352 and 198352.
595056
Find the common denominator of -38/273 and -107/990.
90090
What is the common denominator of -23/76608 and 61/10?
383040
What is the smalles
|
{
"pile_set_name": "DM Mathematics"
}
|
100?
-94*n**2 + 199*n + 90
What is the b'th term of 10004859, 10004857, 10004855, 10004853, 10004851, 10004849?
-2*b + 10004861
What is the o'th term of -97994, -196426, -294858, -393290, -491722, -590154?
-98432*o + 438
What is the w'th term of 258265, 516551, 774861, 1033195?
12*w**2 + 258250*w + 3
What is the b'th term of -155, -958, -2419, -4538, -7315?
-329*b**2 + 184*b - 10
What is the v'th term of 82044, 164492, 246940, 329388, 411836, 494284?
82448*v - 404
What is the v'th term of 3505, 4481, 5467, 6463, 7469, 8485?
5*v**2 + 961*v + 2539
What is the j'th term of -764, -5478, -17740, -41156, -79332, -135874, -214388?
-601*j**3 - 168*j**2 - 3*j + 8
What is the w'th term of -55865, -55884, -55915, -55958, -56013?
-6*w**2 - w - 55858
What is the a'th term of -25383, -96892, -216077, -382938, -597475, -859688?
-23838*a**2 + 5*a - 1550
What is the x'th term of 14429, 28747, 43065, 57383, 71701, 86019?
14318*x + 111
What is the x'th term of -1026, -4366, -9906, -17628, -27514?
3*x**3 - 1118*x**2 - 7*x + 96
What is the u'th term of 3103668, 6207336, 9311016, 12414714, 15518436?
u**3 + 3103661*u + 6
What is the y'th term of -5922, -5776, -5630, -5484, -5338?
146*y - 6068
What is the w'th term of -848, -3730, -8556, -15326?
-972*w**2 + 34*w + 90
What is the f'th term of 33925, 33929, 33933?
4*f + 33921
What is the d'th term of -8703, -16986, -25259, -33522, -41775, -50018, -58251?
5*d**2 - 8298*d - 410
What is the i'th term of -11835, -11769, -11703, -11637, -11571?
66*i - 11901
What is the r'th term of 48789, 48777, 48765, 48753, 48741?
-12*r + 48801
What is the n'th term of 1334229, 1333736, 1333241, 1332744, 1332245, 1331744?
-n**2 - 490*n + 1334720
What is the r'th term of 3067, 6277, 9487, 12697, 15907?
3210*r - 143
What is the s'th term of 22047, 54984, 87921?
32937*s - 10890
What is the p'th term of -423255, -423284, -423313, -423342, -423371, -423400?
-29*p - 423226
What is the t'th term of 9203, 9218, 9231, 9242, 9251, 9258?
-t**2 + 18*t + 9186
What is the s'th term of -80907, -80731, -80555, -80379, -80203?
176*s - 81083
What is the k'th term of -91195642, -182391287, -273586932?
-91195645*k + 3
What is the c'th term of 7603, 7639, 7713, 7837, 8023, 8283, 8629, 9073?
2*c**3 + 7*c**2 + c + 7593
What is the a'th term of -85792376, -85792375, -85792374, -85792373, -85792372, -85792371?
a - 85792377
What is the q'th term of 772935, 1545542, 2318149, 3090756, 3863363?
772607*q + 328
What is the y'th term of -165462, -330939, -496440, -661977, -827562, -993207, -1158924?
-2*y**3 - 165463*y + 3
What is the c'th term of -1145196, -2290351, -3435506, -4580661, -5725816, -6870971?
-1145155*c - 41
What is the x'th term of 39745, 161416, 364209, 648130, 1013185, 1459380?
x**3 + 40555*x**2 - x - 810
What is the o'th term of 1636, 13617, 46152, 109519, 213996, 369861, 587392?
1713*o**3 - o**2 - 7*o - 69
What is the j'th term of 4294, 18444, 42454, 76324, 120054, 173644, 237094?
4930*j**2 - 640*j + 4
What is the o'th term of -3067, -11830, -26273, -46390, -72175, -103622?
o**3 - 2846*o**2 - 232*o + 10
What is the r'th term of -8806, -35214, -79228, -140842, -220050?
r**3 - 8809*r**2 + 12*r - 10
What is the q'th term of -408039, -407975, -407911, -407847, -407783?
64*q - 408103
What is the l'th term of -3549606, -7099208, -10648810?
-3549602*l - 4
What is the r'th term of -19699, -80803, -182643, -325219?
-20368*r**2 + 669
What is the v'th term of -33635435, -67270857, -100906279, -134541701, -168177123?
-33635422*v - 13
What is the f'th term of 432, 1936, 4410, 7860, 12292, 17712, 24126, 31540?
f**3 + 479*f**2 + 60*f - 108
What is the a'th term of 636, 2353, 5146, 9015, 13960, 19981, 27078?
538*a**2 + 103*a - 5
What is the q'th term of -5472, -7854, -11830, -17406, -24588, -33382, -43794, -55830?
-q**3 - 791*q**2 - 2*q - 4678
What is the l'th term of 349331, 1397322, 3143983, 5589320, 8733339, 12576046, 17117447, 22357548?
l**3 + 349329*l**2 - 3*l + 4
What is the s'th term of -83261609, -83261612, -83261615, -83261618, -83261621, -83261624?
-3*s - 83261606
What is the x'th term of 779200816, 779200814, 779200812, 779200810, 779200808, 779200806?
-2*x + 779200818
What is the j'th term of -2257845, -4515748, -6773651, -9031554, -11289457, -13547360?
-2257903*j + 58
What is the a'th term of -1732, -5509, -11204, -18817, -28348?
-959*a**2 - 900*a + 127
What is the c'th term of 58176, 117154, 176132, 235110?
58978*c - 802
What is the d'th term of 12734, 52377, 118930, 212393, 332766?
13455*d**2 - 722*d + 1
What is the p'th term of -6164, -6314, -6462, -6608, -6752, -6894?
p**2 - 153*p - 6012
What is the f'th term of 2063, 16744, 56581, 134150, 262027, 452788?
2096*f**3 + 2*f**2 + 3*f - 38
What is the x'th term of -129, -370, -1029, -2316, -4441, -7614?
-35*x**3 + x**2 + x - 96
What is the v'th term of 95396, 190895, 286394, 381893, 477392, 572891?
95499*v - 103
What is the f'th term of 32577, 67259, 101941, 136623?
34682*f - 2105
What is the c'th term of -13039126, -26078259, -39117392, -52156525, -65195658?
-13039133*c + 7
What is the l'th term of -72264, -101469, -130674, -159879, -189084?
-29205*l - 43059
What is the o'th term of -300728612, -300728610, -300728608, -300728606?
2*o - 300728614
What is the d'th term of -6634, -5926, -4734, -3058, -898, 1746?
242*d**2 - 18*d - 6858
What is the d'th term of 14497, 13250, 11979, 10672, 9317?
-2*d**3 - 1233*d + 15732
What is the b'th term of 1217, 4932, 8647, 12362, 16077, 19792?
3715*b - 2498
What is the n'th term of -8421, -17613, -26809, -36009, -45213, -54421, -63633?
-2*n**2 - 9186*n + 767
What is the y'th term of 390684, 390519, 390242, 389853, 389352, 388739, 388014?
-56*y**2 + 3*y + 390737
What is the j'th term of 40124500, 160497987, 361120466, 641991937, 1003112400, 1444481855, 1966100302?
40124496*j**2 - j + 5
What is the j'th term of -7570559, -15141123, -22711687, -30282251, -37852815?
-7570564*j + 5
What is the j'th term of -5046, -2946, -854, 1230, 3306?
-4*j**2 + 2112*j - 7154
What is the v'th term of -66796, -69480, -72164?
-2684*v - 64112
What is the k'th term of -71612, -141337, -211074, -280829, -350608, -420417?
-k**3 - 69718*k - 1893
What is the m'th term of 104621, 104652, 104683, 104714, 104745?
31*m + 104590
What is the n'th term of -7428101, -7428116, -7428131, -7428146, -7428161, -7428176?
-15*n - 7428086
What is the a'th term of 2211, 5893, 11055, 17691, 25795, 35361, 46383?
-a**3 + 746*a**2 + 1451*a + 15
What is the r'th term of 12427, 11832, 11237, 10642, 10047, 9452?
-595*r + 13022
What is the r'th term of 87359, 174723, 262087, 349451, 436815, 524179?
87364*r - 5
What is the u'th term of 310026, 620247, 930468, 1240689?
310221*u - 195
What is the r'th term of -32965, -65610, -98255, -130900, -163545?
-32645*r - 320
What is the r'th term of 318, 10574, 38158, 91734, 179966, 311518?
1444*r**3 + 148*r - 1274
What is the c'th term of 63647639, 63647641, 63647643?
2*c + 63647637
What is the q'th term of 9415145, 9415147, 9415149, 9415151, 9415153, 9415155?
2*q + 9415143
What is the g'th term of 47086, 51121, 55154, 59185, 63214, 67241, 71266?
-g**2 + 4038*g + 43049
What is the x'th term of -56337889, -56337888, -56337887, -56337886, -56337885, -56337884?
x - 56337890
What is the l'th term of -183658, -734623, -1652898, -2938483?
-183655*l**2 - 3
What is the n'th term of -589, -1226, -2285, -3760, -5645, -7934, -10621, -13700?
n**3 - 217*n**2 + 7*n - 380
What is the l'th term of 879346, 879336, 879326?
-10*l + 879356
What is the d'th term of 9847352, 19694762, 29542230, 39389762, 49237364, 59085042?
d**3 + 23*d**2 + 9847334*d - 6
What is the r'th term of -74422, -74408, -74410, -74428?
-8*r**2 + 38*r - 74452
What is the o'th term of -28970222, -28970220, -28970218, -28970216, -28970214, -28970212?
2*o - 28970224
What is the k'th term of 71265, 141272, 211281, 281292?
k**2 + 70004*k + 1260
What is the a'th term of 6800, 9758, 12716, 15674, 18632?
2958*a + 3842
What is the n'th term of -145924089, -291848179, -437772269?
-145924090*n + 1
What is the x'th term of -8792, -8747, -8696, -8639, -8576?
3*x**2 + 36*x - 8831
What is the g'th term of 54623, 108328, 161113, 212978, 263923, 313948?
-460*g**2 + 55085*g - 2
What is the i'th term of 266676886, 266676884, 266676882, 266676880,
|
{
"pile_set_name": "DM Mathematics"
}
|
s is divided by k?
12
Suppose -556 = 2*n + 1810. Let y = -556 - n. What is the remainder when y is divided by 105?
102
Let o = -237670 - -237691. Let a = -441 - -619. Suppose a = 3*p - 197. Calculate the remainder when p is divided by o.
20
Suppose 3*l - 1 - 11 = 0. Let k(o) = 100*o - 18. What is the remainder when k(l) is divided by 48?
46
Suppose 19 = m - z, -5 = z - 3. What is the remainder when m is divided by 155/31 + 1*4?
8
Let k(m) = -9*m + 3. Let v be k(3). Let p(o) = -o**3 + 2*o**2 - o - 5. Let l be p(3). Let y = l - v. What is the remainder when y is divided by 3?
1
Let t be (112/(-20))/(2/(-5)). Suppose 5*j + 86 = 2*c, 0*j = -4*c - 5*j + 202. What is the remainder when c is divided by 8/t - 462/(-49)?
8
Suppose -105*p + 29448 = -147792. What is the remainder when p is divided by 840?
8
Suppose 6*x = 3*x + 81. Let k(o) = -o**3 + 37*o**2 + 176*o - 149. Calculate the remainder when x is divided by k(-5).
6
Suppose -o - 2*s + 3 = 0, o - 9 = 2*s - 2. Suppose o*w - h = 788, -619 = -3*w - w - 3*h. Calculate the remainder when w is divided by 41.
34
Let k(g) = g + 51. Let n = -62 - -80. Calculate the remainder when k(0) is divided by (-3)/(((-1)/(-8))/(n/(-24))).
15
Suppose -5*r + 746 = 726. Let u(x) be the second derivative of -x**4/6 + 3*x**3/2 - x**2/2 - 2*x. What is the remainder when 19 is divided by u(r)?
1
Let r(g) = -3*g**3 + 21*g**2 + 2*g - 16. Let w be r(7). What is the remainder when 72 is divided by (4/(-12))/(((-4)/(-174))/w)?
14
Calculate the remainder when 0 + 263/3 + (-4)/(-12) is divided by 1*25 + (-22)/11.
19
Let i(r) = r**2 + 20*r - 34. Let c be i(-14). Let b = -114 - c. Suppose -b*k + 318 = -2*k. What is the remainder when k is divided by 40?
39
Let b(i) = i**3 - 22*i**2 + 27*i - 44. What is the remainder when 5980/39 - (-3)/(-9) is divided by b(21)?
71
Calculate the remainder when 1075 is divided by ((-6)/2)/((575/250)/(-23)).
25
Suppose 2*c + 12 = -4*m + 58, 5*c - 155 = -2*m. Calculate the remainder when 1616 is divided by c.
32
Let a(s) = -103*s - 3481. What is the remainder when 18370 is divided by a(-34)?
16
Suppose -8*m + 152 = 3*m - 1025. What is the remainder when 125 is divided by m?
18
Let l = 19 + -14. Suppose 3*z - 379 = l*r, -z + 125 = -2*r - 3. What is the remainder when z is divided by 24?
22
Suppose 13*t + 8 = 21*t. Calculate the remainder when (6/4)/t - (-1419)/6 is divided by 30.
28
Let s be -2 + (-3 + 4)*-1. What is the remainder when (2/4)/(7/658) is divided by (s + 19/(-2))*-2?
22
Let g = 39 + -21. Let a(m) = 7*m - 28. Let h be a(g). Let u = 49 + h. What is the remainder when u is divided by 37?
36
Suppose -18*u + 28 + 26 = 0. Suppose u*i - 224 = -155. Calculate the remainder when i is divided by 8.
7
What is the remainder when 202 is divided by 5 + 88 + (64 - 77)?
42
Let r(g) = -g**2 - 8*g + 7. What is the remainder when (-208)/8*-2 - -2 is divided by r(-7)?
12
Let k(t) = t**3 + 32*t**2 + 6*t - 6. Let x be k(-31). Let l = -747 + x. Suppose 0 = 3*n - 181 - 74. What is the remainder when n is divided by l?
19
Let o(n) = -748*n - 1487. Suppose 5*a + 415 = -2*q, -3*q + 332 = -4*a - 0*q. Let v = a - -152. What is the remainder when v is divided by o(-2)?
6
Suppose -30*y + 2456 = 22*y - 3160. What is the remainder when y is divided by 15?
3
Suppose 0 = -43*x - 4*x + 47. What is the remainder when 57 is divided by (2/(4/54))/x?
3
Suppose -3*h + 26 = -5*d, 31*h = 32*h + 3*d - 4. Calculate the remainder when 162 is divided by h.
1
Let i be (-1)/8*-90 + (-2)/8. Suppose -6*o + 58 = 3*h - i*o, 0 = 5*h - o - 60. What is the remainder when 27 is divided by h?
5
Let p = -27803 + 27811. Let a(u) = u**2 + 6*u + 7. Let k be a(-6). Let t = 28 - k. What is the remainder when t is divided by p?
5
Suppose s - 7 = -4*k + 11, 0 = 5*k + 10. Let b = -90 - -93. Suppose -4*z = -2*v - 57 + 11, -b*v - 24 = -z. What is the remainder when s is divided by z?
8
Let j(z) = 9*z**2 - 22*z + 5. Let t be j(3). Suppose 10*x = -t*x + 1290. What is the remainder when 257 is divided by x?
42
Let s be 1010 - ((-30)/(2 + 4) + 4). Suppose 59*b + 8 = s. What is the remainder when 44 is divided by b?
10
Let i = 128 - 123. Suppose -2*y - 4 = 0, -2*y - 28 = -i*v + 2*y. What is the remainder when (-4)/6 - (177/(-9) - v) is divided by 7?
2
Let n = 758 - 760. Calculate the remainder when 155 is divided by (-103)/n + (-15)/(-30).
51
Suppose -3*i + 2*k = -5*i + 2048, -5*i + 5126 = -k. What is the remainder when i is divided by 18?
17
Let j be (-3)/2 + (-217)/14. What is the remainder when (j - -1413)*2/8 is divided by 21?
13
Let g = 26 - 19. Suppose g*f - 2*x = 2*f + 530, 2*f = 2*x + 212. What is the remainder when f is divided by 2/((-55)/30 + 2)?
10
Suppose -9*h + 40 = -41. Suppose 7*d - h*d = 50. Let y = d + 67. What is the remainder when 165 is divided by y?
39
Suppose 62366 - 51918 = 666*a - 139402. What is the remainder when a is divided by 68?
21
Suppose p - 697 = 6*x - 2*x, 0 = -4*x + 4*p - 712. Let g = x - -193. What is the remainder when g is divided by 8?
4
Let r(d) = -6*d**2 + 424*d - 1055. Suppose -k + 5*v = v - 22, 0 = 2*v - 10. Suppose k = 4*i - 34. Calculate the remainder when r(68) is divided by i.
14
Let b = 4522 + -3859. Calculate the remainder when b is divided by 29.
25
Suppose 27 = 6*f + 3*s, 5*f - 4*s = 7 + 35. Calculate the remainder when 400 is divided by f.
4
Suppose -247 = -23*l + 29. Calculate the remainder when 16/l*426/4 is divided by 21.
16
Let x(v) = 2*v**3 - v**3 + 1 - 2*v**3 + 7*v**2 - 4*v - 3*v. Calculate the remainder when (-6)/(-2) - (-100)/(24/6) is divided by x(3).
12
Let k = -3265 - -3664. What is the remainder when k is divided by 78?
9
Suppose 7*n + 203*n = 73290. Calculate the remainder when n is divided by 11.
8
Suppose -9*c + 65 + 34 = 0. Let y = -247 + 317. Calculate the remainder when y is divided by c.
4
Let m be 70/4*(-24)/(-30). Let j = -4 + m. Suppose 9920*x - 324 = 9908*x. What is the remainder when x is divided by j?
7
Let h be 131 + (1 - (0 - 2))*-1. Suppose -40 = 2*l - h. Suppose 0 = -37*q + 41*q - 688. What is the remainder when q is divided by l?
40
Suppose 133*v - 120*v = 28756. Calculate the remainder when v is divided by 6.
4
Suppose -3*n + 1304 - 35 = 24*n. What is the remainder when 769 is divided by n?
17
Suppose 140 = 5*u - 3*n, -5*u - 5*n + 84 = -2*u. Let b = -3292 - -3515. What is the remainder when b is divided by u?
27
Suppose 0 = -2*t - 0*t + 156. Suppose -213*r + 16*r + 5319 = 0. What is the remainder when t is divided by r?
24
Suppose 20 = -4*h + 52. Suppose -q + h*q + 700 = 0. What is the remainder when q*3/(-6) - -4 is divided by 14?
12
Let n = -28531 + 28545. Calculate the remainder when 23910 is divided by n.
12
Suppose -3*u + 82 = u + 3*b, -5*b + 78 = 4*u. Suppose 16060 + 64439 + 37995 = 454*v. Calculate the remainder when v is divided by u.
19
Let v = 511 + -772. Let i = v - -394. Suppose -2*b = 3*c - 137, 2*c + c = -b + i. Calculate the remainder when 169 is divided by c.
40
Suppose -7*w + w = -18. Let n(u) = 5*u - 8*u**2 - 2*u**w + 4 - 2*u**3 + 6*u**3. What is the remainder when n(5) is divided by 41?
38
Suppose -4*q = -15*q + 861 + 448. What is the remainder when 6306 is divided by q?
118
Let c(p) = -605*p - 319. What is the remainder when c(-1) is divided by 41?
40
Let w be (-2)/10 - (845/25 - -2). Let g = w - -4. Let c = g - -54. Calculate the remainder when 65 is divided by c.
21
Let h(y) = -5744*y + 203. What is the remainder when h(-1) is divided by 50?
47
Let p(x) = x**2 + 76*x + 924. Calculate the remainder when 1168 is divided by p(-61).
7
Suppose -676*q - 23868 = -728*q. What is the remainder when q is divided by 6?
3
Let a = 86 - 66. Suppose -3*n + 12 = -0*n, 4*c + 3*n = 24. Calculate the remainder when -57*2/(-5 + c) is divided by a.
17
Suppose 6*g - 1533 + 399 = -48*g. Calculate the remainder when 4702 is divided by g.
19
Suppose -2*h - 39 = -195. Suppose -13*v - 874 = -51*v. What is the remainder when h is divided by v?
9
Let d(f) be the third derivative of f**6/120 - f**5/20 - f**4/12 - f**2 - 5. Let g(l) = -l + 22. What is the remainder when g(-7) is divided by d(4)?
5
Let o = 58 - 93. Let r = o + 64. What is the remainder when r is divided by 17?
12
Let b(i) = -i**3 + 67*i**2 - 193*i + 90. Suppose 2*w = -w + 465. What is the remainder when w is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from {c: 5, s: 1, p: 2, q: 3, b: 1}.
5/44
Two letters picked without replacement from spfru. What is prob of sequence ff?
0
What is prob of sequence ix when two letters picked without replacement from xjiaaiy?
1/21
Three letters picked without replacement from {j: 2, t: 2, a: 1}. What is prob of sequence ttj?
1/15
What is prob of sequence mi when two letters picked without replacement from {l: 5, m: 8, i: 2}?
8/105
Three letters picked without replacement from jlxjcqqlljjh. What is prob of sequence jql?
1/55
Calculate prob of sequence kigi when four letters picked without replacement from {x: 6, i: 3, g: 3, k: 6}.
1/680
Calculate prob of sequence ch when two letters picked without replacement from kkcyyekhhvyhckkkk.
3/136
Three letters picked without replacement from ddhbwehdbnwwddbwdn. Give prob of sequence ehw.
1/612
Two letters picked without replacement from hdehhehg. What is prob of sequence gd?
1/56
Two letters picked without replacement from kkkpbii. What is prob of sequence ki?
1/7
Calculate prob of sequence aal when three letters picked without replacement from laaaalal.
5/28
Four letters picked without replacement from {r: 4, i: 1, l: 3}. What is prob of sequence lllr?
1/70
What is prob of sequence nbk when three letters picked without replacement from ybxbbnkbbbxxb?
7/1716
What is prob of sequence ii when two letters picked without replacement from iwiai?
3/10
Three letters picked without replacement from eveeeveeevv. Give prob of sequence evv.
14/165
Two letters picked without replacement from ftvtttfttytzofyytt. What is prob of sequence ft?
3/34
Three letters picked without replacement from pmmppmppmpppppppmp. What is prob of sequence mmm?
5/408
Three letters picked without replacement from {i: 7, c: 1}. Give prob of sequence cii.
1/8
What is prob of sequence dw when two letters picked without replacement from dwwzddvtddtddddd?
1/12
What is prob of sequence yyh when three letters picked without replacement from {y: 1, h: 3}?
0
Four letters picked without replacement from {h: 3, l: 5, p: 1}. Give prob of sequence hplh.
5/504
What is prob of sequence tg when two letters picked without replacement from tgxtx?
1/10
Calculate prob of sequence ww when two letters picked without replacement from {a: 4, f: 3, w: 11}.
55/153
Calculate prob of sequence xbsb when four letters picked without replacement from xxxsxbssxxsssssbsss.
11/7752
Four letters picked without replacement from {v: 1, r: 3, k: 2, i: 1, u: 3, m: 2}. What is prob of sequence rmik?
1/990
What is prob of sequence tj when two letters picked without replacement from ttjt?
1/4
What is prob of sequence vvl when three letters picked without replacement from {l: 8, v: 2}?
1/45
Three letters picked without replacement from ccxoxcxoxhcooxo. Give prob of sequence oxx.
10/273
Four letters picked without replacement from zzuzoobuooooz. Give prob of sequence uozb.
2/715
Four letters picked without replacement from {c: 5}. What is prob of sequence cccc?
1
Calculate prob of sequence nm when two letters picked without replacement from nclma.
1/20
Two letters picked without replacement from jxtjxjj. Give prob of sequence tx.
1/21
What is prob of sequence iftf when four letters picked without replacement from jitjjvffifjjj?
1/1430
Three letters picked without replacement from jjjfjfjfjffffj. What is prob of sequence jfj?
7/52
Four letters picked without replacement from nqnqvqqiinnqqnqfnnvn. What is prob of sequence qifi?
7/58140
What is prob of sequence ee when two letters picked without replacement from {e: 3, w: 7}?
1/15
Two letters picked without replacement from ggglgssrlslllllllll. What is prob of sequence lg?
22/171
What is prob of sequence ddd when three letters picked without replacement from cddcdcccdddccdcc?
1/16
Two letters picked without replacement from tqn. What is prob of sequence qt?
1/6
Three letters picked without replacement from {r: 5, w: 1, c: 5}. Give prob of sequence wcc.
2/99
Three letters picked without replacement from {n: 3, y: 1}. What is prob of sequence nnn?
1/4
Calculate prob of sequence nf when two letters picked without replacement from {i: 3, f: 2, n: 3, p: 1, y: 1}.
1/15
Calculate prob of sequence plol when four letters picked without replacement from lolllwpppww.
1/220
Calculate prob of sequence oo when two letters picked without replacement from {c: 3, o: 4, b: 1}.
3/14
Three letters picked without replacement from {r: 3, l: 7, f: 2}. Give prob of sequence rlr.
7/220
Calculate prob of sequence zkm when three letters picked without replacement from vmpzffk.
1/210
Calculate prob of sequence ttt when three letters picked without replacement from {o: 1, t: 3, j: 3}.
1/35
Four letters picked without replacement from wwqwwqqtqqtqqwq. Give prob of sequence tqqw.
2/117
Three letters picked without replacement from xrd. What is prob of sequence drx?
1/6
What is prob of sequence aagg when four letters picked without replacement from {g: 8, a: 5}?
28/429
Three letters picked without replacement from xxheheuehhuhxuhhuxhe. What is prob of sequence eeh?
4/285
Calculate prob of sequence gax when three letters picked without replacement from {a: 1, s: 1, x: 1, h: 1, g: 1, i: 2}.
1/210
Two letters picked without replacement from amawumj. What is prob of sequence mj?
1/21
Two letters picked without replacement from {k: 8, j: 3, m: 2, x: 4}. What is prob of sequence jm?
3/136
Three letters picked without replacement from mmamhxaakmxxhaaska. What is prob of sequence ams?
1/204
Three letters picked without replacement from {w: 3, r: 4, e: 5}. Give prob of sequence wwe.
1/44
Calculate prob of sequence cy when two letters picked without replacement from jcidy.
1/20
Three letters picked without replacement from ozzzozzzzzoz. Give prob of sequence zzz.
21/55
What is prob of sequence voo when three letters picked without replacement from {o: 2, x: 2, s: 2, v: 7, q: 7}?
7/3420
Two letters picked without replacement from {b: 4, a: 2, e: 2, q: 1, c: 6}. What is prob of sequence cb?
4/35
Calculate prob of sequence qncg when four letters picked without replacement from {g: 2, c: 1, q: 1, n: 1}.
1/60
What is prob of sequence paap when four letters picked without replacement from ppaapapapa?
5/63
Calculate prob of sequence nn when two letters picked without replacement from nlnlnnnlnl.
1/3
What is prob of sequence am when two letters picked without replacement from {a: 1, j: 1, m: 3, y: 2}?
1/14
What is prob of sequence gqgg when four letters picked without replacement from {q: 4, g: 16}?
112/969
Two letters picked without replacement from {s: 4}. Give prob of sequence ss.
1
What is prob of sequence ea when two letters picked without replacement from {e: 1, w: 1, a: 2}?
1/6
Four letters picked without replacement from xxssxsxysxasssssssy. What is prob of sequence sxss?
275/5168
Calculate prob of sequence tp when two letters picked without replacement from {p: 2, k: 1, a: 1, s: 2, t: 2}.
1/14
Three letters picked without replacement from {o: 5, e: 3, t: 3, c: 6}. What is prob of sequence cce?
3/136
Three letters picked without replacement from ouuzunuuzunnunuuuun. Give prob of sequence non.
10/2907
Calculate prob of sequence ffff when four letters picked without replacement from ffff.
1
Four letters picked without replacement from {v: 2, l: 3, i: 2, a: 2, w: 1, h: 2}. What is prob of sequence lhal?
1/495
Two letters picked without replacement from hhhddjhjd. Give prob of sequence dd.
1/12
What is prob of sequence ez when two letters picked without replacement from {b: 2, z: 1, s: 6, g: 5, e: 3}?
3/272
Two letters picked without replacement from {s: 4, w: 2}. What is prob of sequence ss?
2/5
Two letters picked without replacement from {g: 3, e: 1, a: 1, t: 5, k: 4}. Give prob of sequence ka.
2/91
Three letters picked without replacement from ryyrrryrrrrr. What is prob of sequence ryy?
9/220
What is prob of sequence qei when three letters picked without replacement from {t: 1, d: 2, i: 2, q: 2, e: 1, o: 1}?
1/126
What is prob of sequence juuj when four letters picked without replacement from {u: 7, j: 2}?
1/36
Calculate prob of sequence llfl when four letters picked without replacement from llffblfb.
3/280
Two letters picked without replacement from srs. What is prob
|
{
"pile_set_name": "DM Mathematics"
}
|
Is 3 a factor of 481?
False
Is 23 a factor of 1473?
False
Is 6 a factor of 244?
False
Does 4 divide 392?
True
Is 641 a multiple of 14?
False
Is 13 a factor of 397?
False
Does 12 divide 1188?
True
Is 302 a factor of 27170?
False
Does 22 divide 1470?
False
Is 109 a factor of 29648?
True
Is 14 a factor of 1787?
False
Does 28 divide 53476?
False
Is 12843 a multiple of 46?
False
Is 27 a factor of 5032?
False
Does 20 divide 625?
False
Is 13995 a multiple of 15?
True
Does 11 divide 44?
True
Does 53 divide 2499?
False
Is 62 a factor of 5394?
True
Is 22 a factor of 880?
True
Does 6 divide 188?
False
Is 91299 a multiple of 23?
False
Does 15 divide 14025?
True
Does 55 divide 18535?
True
Does 55 divide 25198?
False
Is 19 a factor of 158575?
False
Is 22 a factor of 440?
True
Is 26 a factor of 10920?
True
Is 13 a factor of 806?
True
Is 49036 a multiple of 126?
False
Is 17 a factor of 25657?
False
Does 48 divide 3168?
True
Is 676 a multiple of 13?
True
Does 2 divide 56?
True
Is 19760 a multiple of 152?
True
Is 85 a factor of 111095?
True
Is 23 a factor of 184?
True
Is 665 a multiple of 26?
False
Is 600 a multiple of 6?
True
Is 9367 a multiple of 67?
False
Is 34 a factor of 13226?
True
Does 6 divide 146?
False
Is 12720 a multiple of 41?
False
Is 12 a factor of 282?
False
Does 86 divide 6343?
False
Does 27 divide 35704?
False
Is 35 a factor of 368?
False
Is 24032 a multiple of 6?
False
Is 90 a factor of 8227?
False
Does 16 divide 3012?
False
Is 380 a multiple of 10?
True
Does 11 divide 165?
True
Is 92 a factor of 4876?
True
Is 1696 a multiple of 16?
True
Is 18 a factor of 4050?
True
Is 183 a factor of 6874?
False
Is 450 a multiple of 30?
True
Is 25593 a multiple of 344?
False
Is 5 a factor of 19822?
False
Does 18 divide 378?
True
Is 710 a multiple of 9?
False
Is 37541 a multiple of 173?
True
Is 83 a factor of 1532?
False
Is 33 a factor of 9636?
True
Does 34 divide 1224?
True
Is 34 a factor of 68?
True
Is 86 a multiple of 10?
False
Does 18 divide 162?
True
Is 138 a multiple of 2?
True
Is 8 a factor of 539?
False
Is 306 a factor of 59670?
True
Is 9 a factor of 2115?
True
Is 6 a factor of 7577?
False
Is 37 a multiple of 4?
False
Is 28 a factor of 261?
False
Is 8262 a multiple of 17?
True
Is 25 a factor of 1270?
False
Does 75 divide 7906?
False
Is 228 a multiple of 12?
True
Is 854 a multiple of 7?
True
Is 9 a factor of 11155?
False
Is 8 a factor of 2056?
True
Is 117 a multiple of 13?
True
Is 8 a factor of 288?
True
Is 99 a factor of 126158?
False
Does 17 divide 41158?
False
Is 13368 a multiple of 193?
False
Does 2 divide 3699?
False
Is 83 a factor of 10438?
False
Does 16 divide 195?
False
Is 13994 a multiple of 32?
False
Is 95 a factor of 1425?
True
Is 322 a multiple of 2?
True
Is 8183 a multiple of 11?
False
Is 349 a multiple of 7?
False
Is 54 a factor of 5194?
False
Is 3478 a multiple of 94?
True
Does 116 divide 4292?
True
Is 78 even?
True
Does 5 divide 11870?
True
Is 262 a factor of 1572?
True
Is 2964 a multiple of 39?
True
Is 46 a factor of 25300?
True
Does 11 divide 1180?
False
Does 47 divide 21308?
False
Is 16 a factor of 224?
True
Is 3 a factor of 327?
True
Is 220 a factor of 11551?
False
Does 58 divide 5336?
True
Does 12 divide 2388?
True
Is 28842 a multiple of 53?
False
Does 61 divide 4514?
True
Does 22 divide 17524?
False
Is 40 a factor of 56297?
False
Is 36 a factor of 22874?
False
Does 13 divide 49959?
True
Is 58 a multiple of 29?
True
Is 75 a factor of 5422?
False
Does 69 divide 2705?
False
Is 87804 a multiple of 108?
True
Is 211 a multiple of 10?
False
Is 1685 a multiple of 68?
False
Is 272 a multiple of 3?
False
Is 130 a multiple of 26?
True
Is 40 a factor of 160?
True
Is 2 a factor of 90?
True
Is 10 a factor of 919?
False
Is 5 a factor of 200?
True
Is 10 a factor of 521?
False
Is 21 a factor of 4699?
False
Is 603 a multiple of 52?
False
Does 15 divide 57765?
True
Is 3321 a multiple of 39?
False
Is 47 a factor of 1870?
False
Does 58 divide 554?
False
Does 28 divide 3220?
True
Is 30 a factor of 2312?
False
Does 24 divide 3600?
True
Is 28 a factor of 3598?
False
Is 12 a factor of 9033?
False
Is 7 a factor of 368?
False
Is 124 a factor of 6114?
False
Is 597 a multiple of 2?
False
Is 3705 a multiple of 16?
False
Is 735 a multiple of 43?
False
Is 10 a factor of 458?
False
Does 8 divide 398?
False
Is 1239 a multiple of 19?
False
Is 7434 a multiple of 21?
True
Is 22 a factor of 19382?
True
Is 69 a multiple of 13?
False
Is 111 a factor of 43623?
True
Is 6408 a multiple of 10?
False
Is 3 a factor of 1174?
False
Is 21 a factor of 1562?
False
Is 17934 a multiple of 42?
True
Is 6 a factor of 1050?
True
Is 2453 a multiple of 30?
False
Is 21398 a multiple of 26?
True
Does 15 divide 3435?
True
Does 3 divide 6?
True
Is 3022 a multiple of 52?
False
Is 12 a factor of 2609?
False
Is 16 a factor of 3360?
True
Is 32 a factor of 1120?
True
Is 2 a factor of 195?
False
Is 7 a factor of 159?
False
Does 13 divide 1365?
True
Is 2618 a multiple of 11?
True
Does 33 divide 396?
True
Is 54 a factor of 57510?
True
Is 19 a factor of 1919?
True
Does 15 divide 150?
True
Does 6 divide 486?
True
Is 17 a factor of 28314?
False
Is 959 a multiple of 16?
False
Is 29 a factor of 1540?
False
Is 7084 a multiple of 11?
True
Is 10 a factor of 733?
False
Is 25520 a multiple of 20?
True
Is 6630 a multiple of 102?
True
Is 126 a factor of 35142?
False
Is 59303 a multiple of 52?
False
Does 30 divide 530?
False
Is 40980 a multiple of 10?
True
Is 540 a multiple of 27?
True
Is 41 a factor of 3547?
False
Does 2 divide 242?
True
Is 482 a multiple of 9?
False
Does 11 divide 180?
False
Is 98 a factor of 1026?
False
Is 5 a factor of 537?
False
Is 10653 a multiple of 67?
True
Does 6 divide 54?
True
Is 12 a factor of 35992?
False
Is 1346 a multiple of 31?
False
Is 5164 a multiple of 7?
False
Is 56 a factor of 72968?
True
Does 36 divide 51008?
False
Is 420 a multiple of 15?
True
Is 23 a factor of 14493?
False
Is 438 a multiple of 23?
False
Does 12 divide 3600?
True
Is 4 a factor of 2288?
True
Is 53482 a multiple of 10?
False
Is 8002 a multiple of 52?
False
Is 32 a factor of 1490?
False
Is 49 a factor of 3357?
False
Is 4620 a multiple of 14?
True
Does 22 divide 1188?
True
Is 40 a factor of 2920?
True
Is 5 a factor of 140?
True
Is 2640 a multiple of 24?
True
Is 12 a factor of 72?
True
Is 7462 a multiple of 7?
True
Does 65 divide 910?
True
Does 3 divide 55?
False
Does 67 divide 24601?
False
Is 35 a factor of 105826?
False
Does 2 divide 342?
True
Does 66 divide 40753?
False
Is 19 a factor of 1191?
False
Is 434 a multiple of 62?
True
Does 4 divide 643?
False
Is 20 a factor of 41360?
True
Does 118 divide 5123?
False
Is 23897 a multiple of 55?
False
Does 18 divide 630?
True
Is 4575 a multiple of 15?
True
Does 83 divide 145009?
False
Is 570 a multiple of 15?
True
Does 4 divide 15106?
False
Is 3530 a multiple of 10?
True
Is 32 a factor of 416?
True
Is 50 a factor of 121859?
False
Is 19248 a multiple of 213?
False
Does 24 divide 1425?
False
Is 62 a factor of 44740?
False
Does 39 divide 2576?
False
Does 2 divide 2887?
False
Is 5936 a multiple of 16?
True
Does 16 divide 712?
False
Is 34 a factor of 59272?
False
Is 96 a factor of 24384?
True
Does 71 divide 11147?
True
Is 13 a factor of 65?
True
Is 28 a factor of 1372?
True
Does 5 divide 937?
False
Is 1239 a multiple of 21?
True
Is 24510 a multiple of 15?
True
Is 41375 a multiple of 331?
True
Is 6045 a multiple of 115?
False
Is 320 a multiple of 32?
True
Does 24 divide 9192?
True
Is 10 a factor of 26810?
True
Does 41 divide 943?
True
Is 196 a multiple of 49?
True
Is 68 a factor of 10554?
False
Is 5 a factor of 6935?
True
Is 3 a factor of 8761?
False
Does 29 divide 899?
True
Is 12 a factor of 852?
True
Is 7440 a multiple of 11?
False
Is 407 a multiple of 13?
False
Is 2049 a multiple of 66?
False
Does 43 divide 215?
True
Is 27 a factor of 8640?
True
Does 3 divide 88?
False
Is 16080 a multiple of 20?
True
Is 102 a factor of 8516?
False
Does 44 divide 1042?
False
Does 9 divide 189?
True
Is 11 a factor of 257?
False
Is 16 a factor of 120?
False
Is 39 a factor of 16792?
False
Is 370 a multiple of 37?
True
Is 45049 a multiple of 19?
True
Does 9 divide 214?
False
Is 1198 a multiple of 4?
False
Is 229 a factor of 4252?
False
Does 14 divide 378?
True
Does 28 divide 544?
False
Do
|
{
"pile_set_name": "DM Mathematics"
}
|
and 15?
105
Let w(k) = -102*k**2 - 3*k. Let g be w(4). Calculate the common denominator of g/(-16)*(-4)/18 and -77/2.
6
Let o = 35 + 19. Find the common denominator of (-449)/360 + 12/o and -43/10.
40
Let z = 6 + 2. Let j = -3 + 14. What is the lowest common multiple of j and z?
88
Let c be ((-24)/9)/((-427)/3). Let x = 15671/6832 + c. What is the common denominator of 115/6 and x?
48
Let j = 10 + -19. Let i be (-30)/j*(-18)/4. What is the common denominator of ((-27)/i - -2)*1 and 13/6?
30
Let f(c) = c**3 - 6*c**2 + 6. Let n be f(6). What is the smallest common multiple of 22 and 170/15 - (-4)/n?
132
Let r(g) = g**2 + 22*g + 43. Let k = -3244/981 + -15/109. Find the common denominator of r(-21) and k.
9
Suppose -x - 4 + 5 = 0. Let a(w) be the second derivative of 11*w**3/6 - w. Calculate the smallest common multiple of a(x) and 11.
11
Let o be (-74)/(-10) + (-2)/5. Let y(l) be the second derivative of l**3/6 + 3*l**2/2 - 6*l. What is the smallest common multiple of y(o) and 12?
60
Let u = 746/3 + -241. Suppose 4*g + 26 = 2*x, -x - 5*g - 10 = 12. What is the common denominator of u and ((-1946)/252)/(1/x)?
6
Let u(k) = k**2 + 6*k - 3. Let z be u(-6). Find the common denominator of (1/z)/(1/(-74)) and -18.
3
Let c = -5 + 15. Let i(v) = 2*v + 3. Let a be i(-3). What is the least common multiple of 2/a*(-6)/2 and c?
10
Let z = -1 - -1. Suppose z = -4*g - 3*p - 2*p + 35, 5*g - 55 = -4*p. Suppose b - g = -5. What is the least common multiple of b and 10?
10
Let x(t) = -t**2 + 5*t + 13. What is the least common multiple of x(6) and 6?
42
Let v be (-14775)/(-24) - (0 - -2). Let j = 623 - v. Find the common denominator of j and -71/9.
72
Find the common denominator of -17/33 and 393/90*-1 + 0/4.
330
Let p = -12801/2170 + -1/1085. What is the common denominator of 7/11 and p?
110
Let c(m) = m**3 - 5*m**2 + 5*m + 1. Let a be c(4). Suppose 2*y + 15 = -a. What is the least common multiple of 6 and (-8)/y*50/4?
30
Let o = -1/1428 + -5393/2380. Find the common denominator of o and 16/7.
105
Let q = -2 - -4. Suppose -4 + 0 = 2*m. What is the lowest common multiple of q and (0 + -2)/(m/10)?
10
Suppose 0 = -7*z + 85 - 15. Calculate the least common multiple of z and 170.
170
Suppose 36 = 4*q - q. Calculate the smallest common multiple of q and 1.
12
Suppose -2*n + 4*n - u - 15 = 0, -n - u = -9. Calculate the lowest common multiple of (2/(-4))/((-1)/4) and n.
8
Let u be (284/8)/(2/(-524)). Let y = u + 55939/6. Find the common denominator of -29/3 and y.
6
Suppose 3*q = 37 - 13. Calculate the lowest common multiple of q and 8.
8
Let l = -2/35673 - -3817031/356730. Find the common denominator of l and 73/9.
90
Let r(t) = 101*t**3 + 6*t**2 + 3*t - 5. Let a be r(-4). Let w = a - -102253/16. Let m = -25645/8 - -3196. Find the common denominator of w and m.
16
What is the common denominator of -23/12 and 115/4*(-21)/(-175)?
60
Let u = -11 - -21. Let m(z) = -5*z**3 + 24*z**2 - 11*z + 6. What is the lowest common multiple of m(4) and u?
130
Let l(q) = -q**2 + 8*q + 1. Suppose 0 = 4*n - 1 - 27. Calculate the least common multiple of l(n) and 0 + 1/2 + 6/4.
8
Suppose 3*u + 5 = 17. Suppose 7 = -2*p + q, -p + 2*q - 4 - 7 = 0. Let j = 8 - p. What is the lowest common multiple of j and u?
36
Let h = -20 + 31. Suppose 2*x + 31 = -x - 2*d, 6 = 2*x - 4*d. What is the lowest common multiple of h and (-1 + 3)*x/(-2)?
77
Let q = -274/7 + 1383/28. Calculate the common denominator of 9/16 and q.
16
Suppose 3*t - 7*t + 4 = 0. Suppose f = 2 - t. What is the smallest common multiple of f and (-2)/6 - (-112)/12?
9
Let d = 53699 - 1933297/36. Find the common denominator of d and -41/4.
36
Let t(a) = -a**3 + 4*a**2 - 6*a - 5. Let f be t(5). Find the common denominator of 6/88*50/3 and (-2)/(-6) + 595/f.
132
Let n = 3445 + -62159/18. Let t be -2 + 0 + (-6)/3. Calculate the common denominator of t/10 + 1043/(-630) and n.
18
Let z(n) be the first derivative of n**3/3 - 3*n**2/2 - 10*n - 1. Calculate the lowest common multiple of 22 and z(7).
198
Let q(r) = -2*r - 1. Let c be q(-8). Let g be (-4)/10 + 6/c. Suppose 3*o + 3*z + 9 = g, -2*o - 3*z = -8*z - 22. Calculate the least common multiple of o and 5.
5
What is the lowest common multiple of -26*2/8*-4 and 8?
104
Let k = 1209/44 - 96/11. What is the common denominator of 77/8 and k?
8
Let q(m) = -m**3 - 2*m**2 + 7. Calculate the least common multiple of q(0) and 18.
126
Suppose x = -2*x - 2*v + 17, -4*x - v = -21. Let s(k) = k**2 - 5*k + 1. What is the lowest common multiple of s(5) and x?
5
Let y be (-2 - -3)/((-1)/(-3)). Suppose -4*q + 25 = -y*q + 3*o, 0 = -2*o + 10. Suppose 16 = 2*t + 2*t. What is the smallest common multiple of t and q?
20
Let b = 27539/21 - 1315. Find the common denominator of 92/15 and b.
105
Find the common denominator of -97/10 and ((-1666)/252)/((-2)/(-6)).
30
Let j = 2 - -2. What is the lowest common multiple of 50 and j?
100
Suppose 4*h - 2*b = 0, 3*h - 2*b - 18 = -5*b. Calculate the lowest common multiple of h + -1*(-1 - -2) and 10*(-1)/(-3 + 2).
10
Let f(a) = -26*a + 4. Let w(d) = -d**2 - 2*d + 3. Let k be w(-4). Let y be f(k). Calculate the common denominator of y/(-4) - (-6 + 5) and -149/6.
6
Let j(a) = 3*a**3 - 6*a**2 - 5*a**3 + 3*a**3 + 5*a + 3. Let q(f) = f**2 + 3*f + 1. Let d be q(-4). Calculate the smallest common multiple of j(d) and 8.
24
Let a(q) = -q - 5*q + 0*q**3 + 22 - q**3 + 5*q. What is the smallest common multiple of a(0) and 20?
220
Suppose -6 = -p - 3. Suppose -2*t + 0*t = 12. Calculate the common denominator of -28/11 and 5 + t - (-2)/p.
33
Let h(o) = o - 11. Let w(r) = r**2 + 5*r + 5. Let t be w(-5). Calculate the lowest common multiple of h(13) and 4/(-2)*t*-2.
20
Let b = 125359373178568/12313 - 10181058483. Let n = -1/1759 - b. Calculate the common denominator of -25/11 and n.
77
Let r = -6 - -12. Suppose y = -m - 0*m - r, -2*y + 4 = -2*m. Let b = y + -1/6. Find the common denominator of -53/6 and b.
6
Suppose 30 = 5*v - 0. Let s = 34 + -18. What is the smallest common multiple of v and s?
48
Let m = 2418/365 - -1/2920. Find the common denominator of m and 52/11.
88
Let f be (-2)/7 - (-24)/(-14). Let s = 3 - f. Calculate the smallest common multiple of 9 and s.
45
Let s = -330839/456 + 5815/8. Find the common denominator of s and -61/9.
171
Let q = 43 - 51. Find the common denominator of 50 and q.
1
Suppose 2*k + 4 = k. Let y be k/(-4) + 91/(-2). Let b = y + 39. Find the common denominator of b and -13/9.
18
Let o = 531506/2346059 - 88/389. Let k = -633299/132682 + o. Calculate the common denominator of -127/6 and k.
66
Let s = 46/3 - 89/6. Let h = 1798 - 10891/6. Calculate the common denominator of h and s.
6
Let o = -399/8 + 1381/24. Find the common denominator of o and 46/13.
39
Let c = -31549/8 + 3955. Find the common denominator of c and -33/8.
8
Suppose -5*u + 118 = 3*h + h, 0 = -h + 2. Calculate the smallest common multiple of u and 24.
264
Let k = -2067/2 - -1037. Let c = 896/3 - 629/2. Calculate the common denominator of k and c.
6
Suppose 4*f + f - 405 = 0. Suppose 5*t = 5*w + 110, -4*t - 1 + f = -2*w. Calculate the common denominator of -39/14 and ((-321)/t)/(0 + 1).
42
Suppose 0 = 2*a - 4 - 20. Calculate the least common multiple of 22 and 0 + a - 10/5.
110
Suppose 5*b = -735 + 60. Find the common denominator of 0 - 2 - b/198 and -151/12.
132
Let m = 4 - -1. Let o be 5 - m - (-1 - 3). Suppose -18 - o = -s. What is the least common multiple of s and 4?
44
Calculate the smallest common multiple of (0 - -3) + (3 - 2) - 3 and 29.
29
Let o(l) = l**2 - 4. Let i be o(-3). Suppose 3*j + 18 = i*k, -3*k + 14 = 2*j - 12. What is the smallest common multiple of k and 3?
6
Let l = -12 - -24. Let z = 4 + 8. What is the lowest common multiple of z and l?
12
Let i = -2 - -22. Calculate the smallest common multiple of i and 48.
240
Let p be (-1545)/20 + (-2)/(-8). Let x = 6/199 - -9305/1592. What is the common denominator of (p/24)/(1/3) and x?
8
Let l be (-4)/(-10) - (-122)/(-5). What is the least common multiple of (-4)/4 + (-22)/(-2) and 38/8 + (-6)/l?
10
Find the common denominator of 71/26 and (1/(-12))/((-16)/1044).
208
Let o = -30 - -42. Calculate the common denominator of -67/8 and ((-2)/(-3))/(o/(-429)).
24
Let y be 24/(-14) + 2/(-7). What is the common denominator of -4*((-302)/
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the closest to 1 in -2, 3, 6, -1/8?
-1/8
What is the nearest to -0.1 in 0.3, -0.3, -5, 15?
-0.3
What is the closest to -1/5 in -2, 2/9, 0, -0.3?
-0.3
What is the nearest to -1/4 in 0.2, 10, 3, -16?
0.2
What is the nearest to -5 in 4, 2/7, 0.3?
2/7
Which is the closest to 0.2? (a) -1/7 (b) 5 (c) 169
a
What is the nearest to -2 in -21.9, 3/2, -1/3, -4?
-1/3
Which is the closest to 5? (a) 8 (b) -2/9 (c) 2/13
a
Which is the nearest to -2/7? (a) 0.5 (b) -0.2 (c) 39
b
Which is the nearest to 1/3? (a) 0.1 (b) -1026/13 (c) 5
a
Which is the closest to 2? (a) -5 (b) 0 (c) 0.76 (d) 5
c
What is the nearest to -1 in -1.3, 1/5, -47?
-1.3
Which is the nearest to -0.1? (a) 4 (b) 0.1 (c) -2 (d) 15/7
b
What is the closest to -0.06 in 59, -0.2, 0.3, -0.4?
-0.2
Which is the nearest to 1? (a) -0.1 (b) -0.204 (c) -1/7 (d) -0.2
a
What is the nearest to 6 in -4/3, -0.09, -1/2?
-0.09
Which is the closest to -11/5? (a) -4 (b) 0.2 (c) 5/2 (d) -2/11
a
What is the nearest to 2 in 2/5, 0.3, 0.5?
0.5
Which is the nearest to -0.14? (a) 1/7 (b) 1/8 (c) 0 (d) 1
c
What is the closest to -1 in -3/8, -4, -0.1?
-3/8
What is the closest to -1/4 in 0.4, -8, -2?
0.4
Which is the closest to 0.04? (a) 0.5 (b) 12 (c) -4/5
a
Which is the nearest to -1/3? (a) -0.5 (b) -188 (c) 2
a
Which is the nearest to 3? (a) 0.09 (b) 1 (c) -5
b
Which is the nearest to 0.1? (a) -70 (b) -0.2 (c) -0.4
b
Which is the nearest to 1? (a) -465 (b) -2/7 (c) -4
b
Which is the nearest to 1? (a) 5 (b) 0.03 (c) 0.6
c
Which is the nearest to -3/4? (a) 51/4 (b) 2 (c) 4/3
c
What is the nearest to 0.04 in 4/3, -5, -2?
4/3
What is the nearest to 16 in 4/3, 0.3, -0.3, -2/5?
4/3
Which is the nearest to 1? (a) 1 (b) -13 (c) 3/8
a
Which is the nearest to 1? (a) 0.1156 (b) 1 (c) -0.06
b
Which is the closest to 2/53? (a) 0.5 (b) 1/8 (c) -5 (d) 0.1
d
Which is the closest to -2? (a) 2 (b) 49 (c) 0.6
c
What is the nearest to -1/4 in 0.1, 78/11, 4/3?
0.1
What is the closest to 0 in -0.02, -1/3, -0.1, -6?
-0.02
What is the closest to 0.4 in 4, -2/15, 25, -0.4?
-2/15
Which is the closest to 0? (a) -0.5 (b) -0.7 (c) -1/5 (d) 0.3
c
Which is the nearest to -0.21? (a) 0 (b) -0.2 (c) -0.4
b
What is the nearest to -0.43 in -2, 4, -1?
-1
What is the closest to 0 in -1, 17, -0.2?
-0.2
Which is the closest to -1? (a) 2/9 (b) -3 (c) 2
a
Which is the closest to -0.2? (a) -4/9 (b) -460 (c) -3/2 (d) -3
a
What is the nearest to -17 in -2/27, 2, 0.3?
-2/27
What is the closest to -1/12 in -32, -1/6, -5?
-1/6
Which is the nearest to -0.1? (a) -0.06 (b) 2 (c) 3 (d) -0.1
d
What is the nearest to 0.1 in -26, 3, 5/4?
5/4
Which is the closest to 49? (a) 3 (b) -0.2 (c) -4/7 (d) -3/8
a
What is the nearest to -1/52 in -3, 0, -0.2, -1?
0
What is the nearest to -2/5 in -2, -5, 4, 0.8?
0.8
What is the closest to 2/5 in 13, -3, 5, 3?
3
What is the closest to 0.8 in -5, -16, 1?
1
Which is the nearest to -2/3? (a) 2 (b) 7/4 (c) 14
b
What is the closest to -1 in -10/9, -0.34, 3?
-10/9
What is the nearest to 3/5 in -5, -7, -4?
-4
What is the closest to 2 in -803, 0, -0.2?
0
Which is the nearest to -0.1? (a) -190 (b) 4 (c) 2
c
Which is the nearest to 3? (a) 3 (b) 0 (c) -2 (d) -6
a
What is the nearest to 7/8 in 0.6, 0, -2/3, -2?
0.6
Which is the closest to 2? (a) 0.4 (b) -2/19 (c) 2/7 (d) -1/5
a
Which is the nearest to -176? (a) -4 (b) 1 (c) -1
a
What is the nearest to -0.2 in 3/5, 15, -0.4, -4?
-0.4
What is the closest to 0.1 in 251/5, -1/5, -2/9, -0.5?
-1/5
Which is the nearest to 0.02? (a) 2 (b) 4/7 (c) -1/2
c
Which is the nearest to -1/4? (a) -3 (b) 0.5 (c) 2/59
c
Which is the closest to 3/4? (a) 5 (b) 4.4 (c) 0.4 (d) 0
c
What is the closest to 0.2 in -411, -0.4, -0.5?
-0.4
Which is the nearest to 0? (a) 5 (b) 0.13 (c) 1 (d) -0.1
d
Which is the closest to 1? (a) -5 (b) -4/79 (c) -2/13
b
Which is the closest to 1/3? (a) 4 (b) -5 (c) -14
a
Which is the nearest to -0.1? (a) 0.1 (b) -3/7 (c) -1/4 (d) 1
c
What is the nearest to -3/2 in 2, 2/15, 2/5, -29?
2/15
Which is the closest to 5? (a) -0.1 (b) -1/2 (c) -1/3 (d) 3
d
What is the closest to -22 in 2, -2, 5?
-2
Which is the nearest to 4/3? (a) 1/3 (b) 0.5 (c) -0.2 (d) 1/574
b
Which is the closest to -1? (a) -0.17 (b) 6/17 (c) 3/4 (d) 1/2
a
What is the closest to 1 in -4/7, -1/5, -2?
-1/5
Which is the nearest to -27? (a) -3 (b) -0.5 (c) 0.01
a
What is the nearest to -0.7 in 1/20, -4, 2/5?
1/20
What is the nearest to 2/7 in -1/7, -2/15, -2, -1/2?
-2/15
Which is the closest to 2/13? (a) -9 (b) 0.8 (c) -1
b
What is the nearest to -1 in 2/15, -1/6, 2/3?
-1/6
What is the nearest to -0.1 in 5, 58, -12, -0.5?
-0.5
What is the closest to 10 in 1, 1/9, 2?
2
What is the nearest to -1/2 in -4, -1/2, -5, 15.7?
-1/2
What is the nearest to -0.244 in 1, -4/9, -3?
-4/9
Which is the nearest to 0.1? (a) 5 (b) -0.5 (c) -26
b
Which is the closest to -3? (a) 3 (b) -3/2 (c) -1.4 (d) 0.1
b
What is the closest to -3 in 1/3, 3, 4, -0.4?
-0.4
Which is the nearest to 0.1? (a) -52 (b) -0.3 (c) 3
b
Which is the nearest to 1? (a) 2/19 (b) 52 (c) 3 (d) -3
a
Which is the closest to 1/29? (a) 0 (b) -1/3 (c) -2/5 (d) 0.2
a
What is the nearest to -1/34 in 2, 2/11, -0.1?
-0.1
Which is the closest to -3? (a) -1 (b) 42 (c) -2
c
What is the closest to 0.7 in -5, 4, -3?
4
What is the nearest to 0.03 in 2/9, 23, 0, -3?
0
Which is the nearest to -1? (a) 4 (b) 2/7 (c) -8.4
b
What is the nearest to 0.1 in 2/5, -1/4, -37/2, -3/5?
2/5
Which is the closest to 1/2? (a) -47 (b) 0 (c) -1 (d) -0.3
b
Which is the nearest to 2? (a) -1 (b) -0.4 (c) 1194 (d) 2/9
d
Which is the closest to 4/11? (a) -2 (b) -0.5 (c) 0.1
c
What is the closest to -1 in 64, -4/3, 0.5?
-4/3
Which is the nearest to 4? (a) -15 (b) 0.4 (c) 2
c
What is the closest to -0.03 in 6/5, 3/5, -0.3, 5?
-0.3
Which is the closest to -5? (a) -18 (b) -1/4 (c) 4
b
Which is the closest to 2/9? (a) 2/7 (b) 0.1 (c) 0 (d) 2/77
a
What is the nearest to 1/18 in 5, -25, 0.3?
0.3
Which is the closest to -0.1? (a) -1 (b) 1.4 (c) -1/2 (d) -0.3
d
Which is the nearest to 2/3? (a) -0.3 (b) -1.7 (c) 5
a
Which is the closest to 1? (a) -1 (b) -7.7 (c) 4 (d) -0.1
d
What is the nearest to -2/17 in -1/5, 2/29, -0.3?
-1/5
Which is the nearest to 0.2? (a) -0.08 (b) 3/4 (c) -3 (d) 2
a
What is the closest to 0.3 in 3/8, -0.2, -4, 0.6?
3/8
Which is the closest to -3? (a) 0.07 (b) 2/9 (c) 1/3 (d) -0.6
d
Which is the closest to 5? (a) 2/9 (b) 3.32 (c) -1/3
b
What is the closest to 21/2 in 4, 2, -6?
4
What is the nearest to -2/3 in -5, 77, -4/5, 4/7?
-4/5
What is the closest to 0.04 in 3, -2/5, -4, 53?
-2/5
What is the nearest to -0.1 in -3, 0.2, -2/17, 1?
-2/17
Which is the closest to -2? (a) 3 (b) -3/4 (c) 1/3
b
What is the closest to -2/43 in 0.5, 1/9, 0.1, 5?
0.1
Which is the nearest to -2? (a) -1 (b) 1/3 (c) -11/5
c
What is the nearest to -0.03 in 4, -0.3, 9, 1/5?
1/5
Which is the closest to -1? (a) -0.3 (b) -0.12 (c) -2/9 (d) 1
a
What is the closest to -135 in 1/2, 1/3, 1/4, 1?
1/4
What is the closest to 1/4 in -2/65, 6, 3?
-2/65
What is the nearest to -14 in -2/5, 1, 1/6, 4/3?
-2/5
Which is the nearest to -0.04? (a) 4 (b) 15 (c) 0.3 (d) 1
c
Which is the nearest to 3/167? (a) -0.2 (b) 2/3 (c) 1 (d) -1
a
Which is the nearest to 0? (a) -2/9 (b) 48 (c) 3/5 (d) -17
a
Which is the nearest to -1? (a) 0 (b) -1/3 (c) -24 (d) 0.5
b
Which is the closest to 0.09? (a) -7 (b) 0.1 (c) 4 (d) -41
b
What is the closest to -6 in -0.4, -1/5, 2/19?
-0.4
What is the nearest to 0.1 in -2, -1/3, 0.04?
0.04
Which is the nearest to 1/2? (a) -11/21 (b) -0.3 (c) 0.1 (d) -1/12
c
Which is the closest to -0.6? (a) 5 (b) -5 (c) 2/35
c
Which is the closest to -2/3? (a) -2/15 (b) -4 (c) 1/28
a
Which is the closest to 1? (a) 34 (b) 2/9 (c) -1/7
b
Which is the nearest to 0? (a) -1 (b) -0.298 (c) -4
b
What is the closest to 3 in 0.3, 12, -5?
0.3
Which is the nearest to -4? (a) 22.5 (b) 0 (c) -2/15
c
Which is the closest to -2? (a) 0.052 (b) 0.2 (c) 2/15
a
Which is the closest to 1? (a) -19 (b) 2/7 (c) 28
b
What is the nearest to -3 in 3/7, 50, -1?
-1
What is the closest to -1 in 12, 0, -41?
0
|
{
"pile_set_name": "DM Mathematics"
}
|
5
What is the value of 8/(0 - (-3)/((-9)/(-6)))?
4
100/15*(-6)/(-8)
5
What is the value of (-7 - (-93)/15)/(156/(-10))?
2/39
4*150/(-80)*(-4)/(-5)
-6
Evaluate (-144)/1188*(-6)/4.
2/11
Evaluate 2/5 + (-24)/90.
2/15
What is the value of 3 + (-23)/(-21) + (-100)/25?
2/21
Calculate (61/183)/(1/(-6) - 0).
-2
(3 - -1) + -4*(-7)/(-28)
3
What is 42/357 + 36/(-17)?
-2
Calculate 2/6*(15 + 0).
5
What is (-86)/(-22)*-1 + 1 + 3?
1/11
What is ((-3)/6)/(4 - (-14)/(-4))?
-1
Calculate ((1 - 0)*-1)/((-12)/(-48)).
-4
Evaluate 58/12 - (4 + 100/(-24)).
5
What is the value of (1 + 0)/(17/85)?
5
Evaluate 10/(-20)*(0 - -2).
-1
What is the value of ((-21)/(-63))/((-2)/3)?
-1/2
What is 1/1*-1 + -1?
-2
What is (2/(-12)*-4)/(20/6)?
1/5
Calculate (-344)/64 + (-6)/(18/(-15)).
-3/8
What is 4/(-18) - (4/(-18) + -6)?
6
Calculate 0 - (-7)/(35/(-5)).
-1
34/(-68)*(-3 + 1)
1
((-3)/(12/(-10)))/((-20)/(-24))
3
What is -3*(140/15 + -8)?
-4
Evaluate (-171 + 170)/(0 - -1 - 0).
-1
Calculate 3 + (-2 - (-6)/(-3)).
-1
Evaluate 961/217 - (-6)/(-14).
4
Calculate (-24)/360 - (-172)/(-120).
-3/2
Evaluate (2/4)/(11/(-44)).
-2
What is the value of 3*(6/5)/((-116)/290)?
-9
What is (8/(-10))/(264/20 - 13)?
-4
Calculate (10/14)/(17/(-119)).
-5
Evaluate 3/(-9) - 1*(-4)/12.
0
What is (-2)/(-4)*(-4)/6*12?
-4
Evaluate (-1)/(5/10*-2).
1
-2*6/(-48)*4
1
Evaluate (-3)/2 - (1620/(-24))/27.
1
(-4 - (-5 - -1))/1
0
((-96)/10)/(-3) - 10/50
3
Calculate 70/(-17) - -5*(-12)/(-510).
-4
Evaluate 2/(3 - 1) + (-2)/10.
4/5
Calculate 150/1100*(-8)/(-6).
2/11
Calculate 1*(-6)/4 - 341/(-310).
-2/5
What is 4 + (-70)/15 + (-20)/6?
-4
Calculate 20/(-14) - (855/63 + -13).
-2
Evaluate 98/(-28) + 20/6.
-1/6
What is the value of (((-2)/(-42))/((-8)/(-24)))/(-1)?
-1/7
4/30 + 56/30 + -2
0
What is the value of 287 + -281 - (34/6)/1?
1/3
Calculate (-6)/10*((5 - 1) + -9).
3
Calculate 3 - (2/(-3))/(12/18).
4
Calculate 3/9 - (-8)/(-15).
-1/5
4/(-10) + 17/5
3
Calculate -265*(-16)/600 + (-7)/1.
1/15
Evaluate (-4 + 24)/4*6/10.
3
Evaluate 1*-4 - -8*(-3)/(-6).
0
16/(-6)*(74/(-24) + 3)
2/9
Calculate (3/(-16))/(((-90)/12)/(-5)).
-1/8
((-1)/(-26))/(2 + (-36)/16)
-2/13
Evaluate 3 + 5 + (-10)/2.
3
((-7)/(-21))/(1/3)*-1
-1
What is the value of (-2)/(-6)*-3*10/(-2)?
5
What is the value of 0 + (-1 + (-18)/12)*2?
-5
Calculate (-39 - -41)/(-2 - (-2 + 1)).
-2
What is (-4)/(-3)*(-36)/16?
-3
What is the value of (5/(-10))/(-2 - (-14)/2)?
-1/10
What is (-44)/66*2/6*-1?
2/9
What is 1*6/(-9)*5/30?
-1/9
What is 2*-1 - (-8)/((-520)/(-169))?
3/5
What is the value of 80/(-24)*6/(-4)?
5
-4*(-5)/10*-1
-2
Calculate 6/12 - 10/28.
1/7
What is (-6)/48*-2 - 13/20?
-2/5
Evaluate 12/(0 + 24)*1*6.
3
What is the value of (-90)/120*(-8)/3?
2
Calculate 3 + 9 + 0 + -12.
0
(-4)/(-2)*(-24)/(-12)
4
Evaluate (1/7)/(3/6).
2/7
Evaluate 2/12 + 141*(-4)/(-72).
8
Calculate 95/(-15) + 6/18.
-6
Evaluate ((-8)/(-14)*(24 + -3))/(-2).
-6
What is (-3 + 6 - -2)/1?
5
0*((-2)/12)/(14/(-42))
0
(-1)/(-2) - 4/24
1/3
What is 495/(-66)*8/(-30)?
2
What is the value of 46/(-10) + 44/(-110)?
-5
What is the value of 19/((-266)/(-20)) - 24/16?
-1/14
Calculate (-17)/136*(0 - (-12)/(-4)).
3/8
What is the value of 14/(-119)*1 - 96/51?
-2
What is (-2)/(-10) + -1 + (-1311)/(-345)?
3
(-60)/(-25) + -1*(-3 + 5)
2/5
Calculate 1325/954*(-3)/(-5).
5/6
What is ((16/(-18))/2)/(28 + -26)?
-2/9
Calculate (0 + (-6)/(-11))/(42 - 40).
3/11
What is the value of 2/(20/(-38)) - (-7 + 2)?
6/5
Evaluate (-7 + (-296)/(-32))/((-3)/(-8)).
6
(-12)/(-476) - 32/224
-2/17
What is -1*4/18 - 0?
-2/9
What is the value of (-3)/(-15) + (-8)/(-10)?
1
Evaluate (4/12)/(5/3).
1/5
Calculate (-726)/1722*-7 + -3.
-2/41
(0*(-2)/(-12))/(1*-3)
0
Evaluate 1*(6 + 4)/(-2)*1.
-5
What is 1/(-4) + (-1 - 1)/(-8)?
0
(-248)/1302*(-7)/(-10)
-2/15
1/(-6)*(-12)/(-9)
-2/9
Calculate 2 - ((-100)/(-36) + 3/(-3)).
2/9
Calculate (-9)/(-5)*120/(-36).
-6
Calculate (75/(-50))/((-9)/2).
1/3
0 - 18/(-4)*5/30
3/4
What is (-140)/(-55) - 18/33?
2
What is 2/3 - (-4)/12?
1
What is ((-119)/(-21) - 6)/(-3)?
1/9
What is the value of 9*2*(-2)/6 - -2?
-4
What is ((-4)/(-28)*0)/(-4)?
0
Calculate ((-7)/(-840)*10)/((-9)/(-48)).
4/9
What is the value of -8 + -5*(-1494)/945?
-2/21
What is (-8)/36 - 14/(-63)?
0
What is -6*(-5 + (-39)/(-9))?
4
Calculate (-4)/(-5)*(-3)/6.
-2/5
Evaluate 172/(-28) + (-72)/(-63).
-5
What is the value of 11 + -2 + -4 + -1?
4
What is -3*2*((-28)/32)/(-7)?
-3/4
Evaluate ((-602)/129)/(4/6).
-7
Calculate (-1 - -2)*(50/25 - 0).
2
What is 3/2*15/90*8?
2
(-4 - 94/(-24))/(7/14)
-1/6
Calculate (-10 - 718/(-72))/(2/(-9)).
1/8
What is the value of 2 - (1 - -1 - 3)*1?
3
(4/3)/(78/117)
2
What is (-4)/(8/(-18))*(-4)/(-24)?
3/2
(-3)/(2/(-8)*(3 - -1))
3
What is the value of (14/(-7) + 6/4)*6?
-3
What is the value of 12*((-32)/(-84))/8?
4/7
What is the value of 9 - 4 - 4 - 3?
-2
What is 0/(-6 - -8)*-1 + -2?
-2
Calculate (-5)/(-20)*-2*4/(-18).
1/9
Evaluate -4 + (-6)/6 + 2.
-3
What is (-4)/2 + (-18)/45*-5?
0
Calculate (33/9 - 5)/((-1)/(-3)).
-4
What is the value of 780/(-400) + (-6)/(-8)?
-6/5
What is 1/(88/26) - (-39)/156?
6/11
Calculate 2/(-5) + (-2737)/595.
-5
12/36 - (-4)/(-12)
0
What is the value of 2*((315/(-10))/(-7) - 4)?
1
What is (-23)/(-21) + (-2)/3?
3/7
Calculate (-9)/3 + (-2)/(88/(-140)).
2/11
What is the value of ((-1)/(-12))/((-3)/(-12))?
1/3
Calculate ((-9)/(-12))/(18/24).
1
Evaluate -2 - -2 - 9/((-9)/2).
2
Calculate 448/720 + (-4)/18.
2/5
What is (24/(-20))/(12/(-10) + 2)?
-3/2
Evaluate (-1)/24*-4 - (-14)/(-12).
-1
-3*(-5)/(-60)*(-8)/(-9)
-2/9
Calculate 3 + -4 - (-1 + (-2)/9).
2/9
Evaluate (-32)/(-18) - (2 + 0).
-2/9
Evaluate ((-9)/(-6))/(-3) - (-125)/350.
-1/7
What is the value of -2*8/240*(-1 - -4)?
-1/5
Evaluate 4/16*0 - -1.
1
What is (3/(-6))/((-21)/(-12))?
-2/7
What is the value of (-1)/(3/(-9))*(-4 - -5)?
3
(-3 - (-51)/21)/(54/(-63))
2/3
22/77 + 72/(-154)
-2/11
Evaluate (2016/88)/6 + -4.
-2/11
What is the value of (1 + 0 - (5 - 3))*-1?
1
Calculate (4/(-12))/(8/(-24)).
1
What is the value of (-4 + 4)*(-7)/(-14)?
0
Calculate 9/(-18)*(27/(-21) + 1).
1/7
Evaluate (-4)/(-8)*(0 - 10).
-5
Evaluate -3 + (-3 - 222/(-36)).
1/6
What is the value of -6 - (-3 - 63/28)?
-3/4
What is (-2 + (-51)/(-12))*(63 + -59)?
9
Calculate 6 - (-8 - -16) - -8*1.
6
Calculate 28/8 - 36/24.
2
What is the value of 11 + -8 + 58/(-20)?
1/10
What is the value of ((-12)/(-128))/(51/34)?
1/16
(22/(-308))/((-6)/(-21))
-1/4
Calculate 75/30*(-2)/(-1 + -39).
1/8
2*(-2)/6*(-114)/(-304)
-1/4
What is the value of 3/(-12)*(14/6 + -3)?
1/6
(-1)/(3*-1 - (-1)/1)
1/2
((-16)/12)/(-4)*-2
-2/3
(-1)/7 - 7/((-196)/(-192))
-7
What is ((-85)/(-25) + -4)*10/4?
-3/2
(-104)/(-260) + (48/(-10))/3
-6/5
Calculate ((-2)/(-5))/(2/(40/(-12))).
-2/3
What is ((-5)/(-2) + (-111)/(-222))/(-5)?
-3/5
What is (-140)/105 - (32/(-6) - 2)?
6
440/150 - -7 - 10
-1/15
Calculate -2 - ((-6)/(-5))/((-84)/160).
2/7
What is (-171)/(-228) + (-66)/56?
-3/7
What is the value of 4 + -8 + -1 - (-32)/6?
1/3
(-2)/3*(-1863)/378 - 3
2/7
Evaluate (-3)/(-1)*-1 + 54/21.
-3/7
Evaluate -127 + 130 - (0 + 1 - 5).
7
(6/36)/(7/6)
1/7
What is the value of 9/12*32/48?
1/2
Evaluate (4 - -2) + 5 + -11.
0
What is 67/(-1206)*(-5*3)/1?
5/6
Calculate 52/(-117) - (195/(-54) - -4).
-5/6
What is the value of 8/(-6)*1/(-4)?
1/3
Evaluate (20/(-4) - -3)/((-45)/10).
4/9
((-2)/(-5))/((-126)/35)
-1/9
Calculate ((1 - 3)/(-4))/(7/(-14)).
-1
Evaluate 15/(-36) - ((-225)/(-36) - 7).
1/3
What is the value of 8/(-64) - 6/80?
-1/5
Evaluate (4/(-6)*-1)/((-96)/(-1008)).
7
What is the value of (-8)/44 + -7 + 7?
-2/11
Evaluate 165/(-105) - 6/14.
-2
What is the value of (7/3)/((17/(-3))/17)?
-7
What is 18/24 + (-21)/(-4) + -3?
3
What is (-1 + -3*1)/(20 + -18)?
-2
Calculate 65/182*(-6)/(-15).
1/7
What is (-40)/10 + (-155)/(-35)?
3/7
What is the value of (1*1/(-3))/(15/135)?
-3
(-2 - 12/7) + (-18)/63
-4
((-14)/(-16))/((-11)/22)
-7/4
Evaluate -3*2/8*(-2)/6.
1/4
What is the value of 19/5 - (-1 + 5)?
-1/5
Evaluate ((-98)/21)/14 - (-1)/(-6).
-1/2
Calculate 2/(-8)*(3 - 9 - -8).
-1/2
6/18 + (-8)/(-3)
3
What is -2 - ((-3)/(-6) + 10/4)?
-5
What is the value of (-8)/(-16) - 3/(6/7)?
-3
Evaluate (12 - (-490)/(-40))*-36.
9
What is the value of (-24)/3 - (19 + -23)?
-4
What is the value of (-1)/11 + (-414)/(-198)?
2
Calculate 31/114 + (-4 - (-23)/6).
2/19
Calculate 4/168*(-28)/(-8).
1/12
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
12?
6
Calculate the remainder when 140 is divided by 67.
6
Calculate the remainder when 155 is divided by 34.
19
What is the remainder when 137 is divided by 24?
17
What is the remainder when 51 is divided by 12?
3
What is the remainder when 198 is divided by 68?
62
Calculate the remainder when 66 is divided by 22.
0
Calculate the remainder when 210 is divided by 77.
56
Calculate the remainder when 1113 is divided by 1086.
27
Calculate the remainder when 1103 is divided by 79.
76
What is the remainder when 286 is divided by 18?
16
Calculate the remainder when 285 is divided by 91.
12
Calculate the remainder when 538 is divided by 110.
98
Calculate the remainder when 433 is divided by 428.
5
Calculate the remainder when 3273 is divided by 14.
11
Calculate the remainder when 25143 is divided by 381.
378
What is the remainder when 730 is divided by 40?
10
What is the remainder when 249 is divided by 40?
9
What is the remainder when 430 is divided by 80?
30
Calculate the remainder when 1544 is divided by 32.
8
Calculate the remainder when 10 is divided by 5.
0
Calculate the remainder when 3 is divided by 1.
0
What is the remainder when 1500 is divided by 108?
96
Calculate the remainder when 626 is divided by 132.
98
What is the remainder when 1186 is divided by 99?
97
Calculate the remainder when 55 is divided by 24.
7
What is the remainder when 497 is divided by 50?
47
Calculate the remainder when 896 is divided by 72.
32
Calculate the remainder when 376 is divided by 23.
8
What is the remainder when 417 is divided by 37?
10
Calculate the remainder when 81 is divided by 20.
1
Calculate the remainder when 14 is divided by 11.
3
What is the remainder when 302 is divided by 61?
58
Calculate the remainder when 330 is divided by 148.
34
What is the remainder when 3423 is divided by 312?
303
Calculate the remainder when 7479 is divided by 174.
171
What is the remainder when 141 is divided by 30?
21
Calculate the remainder when 338 is divided by 35.
23
Calculate the remainder when 5818 is divided by 97.
95
Calculate the remainder when 636 is divided by 221.
194
Calculate the remainder when 597 is divided by 40.
37
Calculate the remainder when 401 is divided by 95.
21
What is the remainder when 1173 is divided by 49?
46
Calculate the remainder when 107 is divided by 61.
46
Calculate the remainder when 147 is divided by 30.
27
Calculate the remainder when 148 is divided by 40.
28
Calculate the remainder when 404 is divided by 134.
2
Calculate the remainder when 2844 is divided by 710.
4
What is the remainder when 223 is divided by 93?
37
Calculate the remainder when 534 is divided by 107.
106
What is the remainder when 2960 is divided by 52?
48
Calculate the remainder when 1901 is divided by 21.
11
What is the remainder when 168 is divided by 29?
23
Calculate the remainder when 5545 is divided by 146.
143
Calculate the remainder when 1975 is divided by 38.
37
Calculate the remainder when 1174 is divided by 47.
46
What is the remainder when 52876 is divided by 23?
22
Calculate the remainder when 11833 is divided by 15.
13
Calculate the remainder when 93 is divided by 19.
17
What is the remainder when 176 is divided by 45?
41
What is the remainder when 174 is divided by 59?
56
Calculate the remainder when 639 is divided by 19.
12
What is the remainder when 124 is divided by 57?
10
What is the remainder when 545 is divided by 21?
20
Calculate the remainder when 55 is divided by 12.
7
Calculate the remainder when 27104 is divided by 54.
50
What is the remainder when 40 is divided by 15?
10
What is the remainder when 96 is divided by 51?
45
Calculate the remainder when 75 is divided by 48.
27
Calculate the remainder when 152 is divided by 18.
8
Calculate the remainder when 196 is divided by 66.
64
Calculate the remainder when 3040 is divided by 179.
176
Calculate the remainder when 371 is divided by 310.
61
What is the remainder when 868 is divided by 44?
32
What is the remainder when 5039 is divided by 6?
5
Calculate the remainder when 1338 is divided by 97.
77
Calculate the remainder when 177 is divided by 81.
15
What is the remainder when 156 is divided by 55?
46
Calculate the remainder when 272 is divided by 68.
0
What is the remainder when 280 is divided by 265?
15
What is the remainder when 1151 is divided by 64?
63
What is the remainder when 66 is divided by 32?
2
Calculate the remainder when 373 is divided by 22.
21
What is the remainder when 228 is divided by 8?
4
What is the remainder when 75 is divided by 45?
30
What is the remainder when 26 is divided by 1?
0
Calculate the remainder when 1413 is divided by 71.
64
What is the remainder when 268 is divided by 100?
68
Calculate the remainder when 34 is divided by 31.
3
Calculate the remainder when 7033 is divided by 21.
19
What is the remainder when 192 is divided by 87?
18
Calculate the remainder when 480 is divided by 69.
66
What is the remainder when 644 is divided by 112?
84
Calculate the remainder when 72 is divided by 39.
33
What is the remainder when 571 is divided by 26?
25
What is the remainder when 231 is divided by 57?
3
Calculate the remainder when 657 is divided by 12.
9
What is the remainder when 318 is divided by 17?
12
What is the remainder when 227 is divided by 33?
29
What is the remainder when 299 is divided by 75?
74
Calculate the remainder when 176 is divided by 9.
5
What is the remainder when 10019 is divided by 218?
209
Calculate the remainder when 87 is divided by 18.
15
What is the remainder when 1399 is divided by 7?
6
Calculate the remainder when 629 is divided by 7.
6
What is the remainder when 300 is divided by 105?
90
What is the remainder when 134 is divided by 36?
26
Calculate the remainder when 527 is divided by 5.
2
What is the remainder when 337 is divided by 116?
105
What is the remainder when 492 is divided by 13?
11
Calculate the remainder when 128 is divided by 10.
8
Calculate the remainder when 288 is divided by 104.
80
What is the remainder when 71 is divided by 18?
17
What is the remainder when 310 is divided by 159?
151
What is the remainder when 44 is divided by 5?
4
What is the remainder when 253 is divided by 64?
61
Calculate the remainder when 135 is divided by 39.
18
Calculate the remainder when 88 is divided by 31.
26
Calculate the remainder when 335 is divided by 80.
15
Calculate the remainder when 704 is divided by 13.
2
Calculate the remainder when 990 is divided by 113.
86
Calculate the remainder when 751 is divided by 16.
15
Calculate the remainder when 783 is divided by 218.
129
What is the remainder when 163 is divided by 85?
78
What is the remainder when 143 is divided by 19?
10
Calculate the remainder when 2748 is divided by 14.
4
What is the remainder when 203 is divided by 54?
41
What is the remainder when 3174 is divided by 18?
6
Calculate the remainder when 1494 is divided by 17.
15
What is the remainder when 868 is divided by 433?
2
What is the remainder when 159 is divided by 81?
78
What is the remainder when 811 is divided by 28?
27
Calculate the remainder when 1115 is divided by 552.
11
Calculate the remainder when 94 is divided by 21.
10
What is the remainder when 118 is divided by 28?
6
Calculate the remainder when 796 is divided by 63.
40
Calculate the remainder when 402 is divided by 381.
21
Calculate the remainder when 162 is divided by 58.
46
Calculate the remainder when 1161 is divided by 97.
94
Calculate the remainder when 210 is divided by 53.
51
What is the remainder when 893 is divided by 133?
95
Calculate the remainder when 467 is divided by 94.
91
What is the remainder when 655 is divided by 73?
71
What is the remainder when 78 is divided by 53?
25
Calculate the remainder when 17 is divided by 6.
5
Calculate the remainder when 66 is divided by 19.
9
Calculate the remainder when 1915 is divided by 383.
0
Calculate the remainder when 378 is divided by 51.
21
Calculate the remainder when 97 is divided by 68.
29
Calculate the remainder when 449 is divided by 118.
95
Calculate the remainder when 202 is divided by 34.
32
What is the remainder when 1377 is divided by 69?
66
What is the remainder when 415 is divided by 106?
97
Calculate the remainder when 144 is divided by 38.
30
Calculate the remainder when 194 is divided by
|
{
"pile_set_name": "DM Mathematics"
}
|
5*x**2 - 5*x - 2. Suppose -5*q + 11 = -19. Let r be a(q). Give v(r).
-3
Let y(j) = j + 8. Suppose -7*v = -9*v - 12. Give y(v).
2
Let w(z) be the second derivative of 3*z + 0 - 1/6*z**4 + 0*z**2 + 1/2*z**3. What is w(3)?
-9
Suppose 3*b + 18 = -2*d, -3*d + 7 = -4*b - 0*b. Let f(n) = -n**3 - 3*n**2 - 4. Determine f(b).
12
Let p = -5 + 7. Let s(c) = -p*c - c + 0 - c - 2. Determine s(-3).
10
Suppose 5*i + 22 = 4*n, 2*n - 2 = -i + 2. Let l(t) = t**2 - 3*t + 3. Determine l(n).
3
Let l(a) = -a**3 + 4*a**2 + 2*a - 4. Let t(q) = q - 10. Let m be t(14). What is l(m)?
4
Let c(k) = k**3 + 4*k**2 - 4*k - 1. Let g(q) = -q**2 - 7*q - 6. Let t be g(-6). Let p = 5 + t. Suppose -4*f - a - 3*a - 16 = 0, p*f + 29 = 4*a. Determine c(f).
-6
Suppose -5*j + 9 = -2*j. Let f be (-2 - (-10)/15)*-3. Let p(y) = 2 + 5*y - 9 + f + 0. What is p(j)?
12
Let b(u) = 5 - 6 + 0*u - u + 2*u. What is b(-3)?
-4
Let h(b) = 14 + 0*b - 14 + 2*b. Let y = -6 - -3. Calculate h(y).
-6
Suppose 3*a - 8*a + 20 = 0, 5*a = 2*x + 8. Let k(f) = -1 + 0*f**2 + 3 + x*f + f**2. Let q be (2/5)/((-1)/10). Determine k(q).
-6
Let h = 4 - 3. Let o be (4 - 1)/h*-1. Let p(l) = -4*l**3 + 7*l**2 - 5*l - 1. Let a(v) = -v**3 + v**2 - v - 1. Let x(c) = -5*a(c) + p(c). Determine x(o).
-5
Let v(s) be the first derivative of -7 + 2*s**3 - 7/2*s**2 + 5*s + 1/4*s**4. Determine v(-7).
5
Let p = 0 + 0. Let i(g) = -g - 7. Calculate i(p).
-7
Let p be 1/((-2)/(-4) - 1). Let v be (-14)/(-5) - 4/(-20). Let a(z) = -2 + 2*z**2 + 3*z**2 - z - v*z**3 - 4*z**2 + 4*z**3. Determine a(p).
-4
Let c(f) be the first derivative of -5*f**2/2 - 11. What is c(1)?
-5
Suppose 3 - 21 = 3*z. Let p(l) = -9 + 6*l**2 - 4*l**3 + 3 + 5*l**3 - l. Calculate p(z).
0
Let t(a) = a**2 + a - 5. Let v(c) = -2*c - 10. Let u be v(-7). Suppose j - 1 = -u. Let b = j - -3. What is t(b)?
-5
Suppose -5*m + 4*v = -7, -8*v + 3*v + 10 = 0. Let h(a) be the second derivative of 1/2*a**2 + 1/6*a**3 + 0 - m*a. Give h(-1).
0
Let l(n) = -n**2 - n - 11. Let m(j) = j**2 + j + 12. Let y(c) = -7*l(c) - 6*m(c). What is y(0)?
5
Suppose -l = 5*i - 29, 3*l = l - 3*i + 23. Let r(u) be the second derivative of u**5/20 - 5*u**4/12 + u**3/3 - 3*u**2/2 + 2*u. Determine r(l).
-11
Let f(g) = -g**2 + 2*g + 3. Let p(r) = -3*r - 68. Let q be p(-24). Determine f(q).
-5
Let u = 11 - 3. Let t(o) = -u + 2*o + 3 + o - 4. Determine t(6).
9
Let q(n) = -n**3 + 2*n**2 + n + 2. Let o = 10 - 7. Calculate q(o).
-4
Let f(i) be the third derivative of -i**4/24 - i**3/2 - 27*i**2. Give f(7).
-10
Let g(q) be the first derivative of 5*q**4/4 - q**3/3 - q**2 - q - 2. Let m = -90 + 89. Calculate g(m).
-5
Let i(g) = -4*g - 4. Suppose 5*b + 8 = -7. What is i(b)?
8
Let f(b) be the first derivative of -b**3/3 + 6. Determine f(3).
-9
Suppose -4*t = 8 - 0. Let h be ((-1)/t)/(4/16). Let y(f) = -f**3 + 2*f**2 + 2*f - 3. Calculate y(h).
1
Suppose -2*o - 3*g = 8 + 1, 0 = 4*o - 4*g - 12. Let m(a) = -2 + 5*a + o*a - 8*a + 2*a. Determine m(3).
-5
Suppose 0 = -3*r - 0*r + 24. Let x(t) = -t**3 + 0 + 2*t**3 + 7*t - 4 - r*t**2 + 2*t**2. Give x(5).
6
Let t = 2 - 5. Let i = 9 + -7. Let v(y) = 3 - 1 - i*y**2 - 5*y - 5. Determine v(t).
-6
Let k(z) be the first derivative of -z**5/60 - 7*z**4/24 - 5*z**3/6 + z**2 - 2. Let v(f) be the second derivative of k(f). Give v(-5).
5
Let d be 2/(-4)*3*2. Suppose -2*g = 2*g - 8. Let q(c) = -4 + 3*c**g + 3 + 4*c + 0*c - 2*c**2. Give q(d).
-4
Let g = -13 + 23. Let l = g - 6. Let d(n) = n. Determine d(l).
4
Let d = 83 + -81. Let b(t) = 2*t + 6*t - 3 - 3*t. Give b(d).
7
Let r(d) = d + 0*d - d**2 + 5*d**3 - 2*d. Let f(z) = z + 4. Suppose -4*i - 11 = 9. Let s be f(i). Determine r(s).
-5
Let q(w) be the first derivative of -w**6/360 - w**5/30 - w**4/12 + w**3 - 1. Let d(g) be the third derivative of q(g). What is d(-4)?
-2
Let u be (44/(-12) + 3)*6. Let y(o) = -o**2 - 3*o + 3. Determine y(u).
-1
Let j(z) be the first derivative of -z**4/4 - z**3/3 + 7*z - 3. Determine j(0).
7
Let j(x) be the first derivative of 0*x - 1/6*x**3 - 1/6*x**4 - 1/60*x**5 - 2*x**2 - 4. Let r(v) be the second derivative of j(v). Calculate r(-3).
2
Let n be 1/2*(-5 + 3). Let t(g) = -2*g**3 - 1. Calculate t(n).
1
Let r(a) be the third derivative of a**6/360 - a**5/60 + 5*a**4/24 + 3*a**2. Let h(v) be the second derivative of r(v). Give h(2).
2
Let i(j) = j + 3. Let x(g) = -g**3 - 3*g**2 - 6*g - 3. Suppose -5*m - 2 = -q + 4, 0 = 5*m - 4*q - 6. Let l be x(m). What is i(l)?
8
Let f(c) = -14 + 2*c + 28 - 13. Calculate f(-1).
-1
Let q(d) = -d + 3. Suppose -17 = 4*j - h, 2*j + 7 = -2*j - h. Calculate q(j).
6
Suppose -2*p + 2*z = -0 - 4, 0 = -3*p + z + 10. Let n(s) = -s**3 + 4*s**2 - 3*s + 4. Give n(p).
-8
Let z(s) = s**3 + 3*s**2 + 5*s - 2. Let n(v) = -3*v**3 - 6*v**2 - 11*v + 5. Let w(h) = -2*n(h) - 5*z(h). Suppose 16 = 9*y - 5*y. Determine w(y).
4
Let c be 16/56 + (-5)/42. Let p(b) be the second derivative of -2*b + c*b**3 + 0 - 1/2*b**2. Calculate p(1).
0
Let u(q) = q**2 - 2*q - 1. Let f be u(2). Let r be 5 + 0 + -2 + 0. Let h(i) = 3 - 1 - 4 + r + 13*i. What is h(f)?
-12
Let v(b) be the third derivative of -b**5/30 - b**4/24 - b**3/6 - 13*b**2 + 2. Let g = -1 - 3. Let r = g + 3. Determine v(r).
-2
Let p(f) = -f**2 - f + 3. Let m(r) = 2*r - 3. Let z(s) = -2*m(s) - 3*p(s). What is z(3)?
21
Let b(m) be the first derivative of 5*m**2/2 - 2*m + 1. Let r = 190 + -192. Give b(r).
-12
Let o(z) = z**3 + 5*z**2 - 2. Suppose -2*a + 7 = 5*y, 0*a - 3*a = y - 17. Suppose 2 - a = -2*s. Suppose -s*w = 2 + 8. Give o(w).
-2
Suppose -4*z + 13 = -7. Let c(m) = -m**3 + 5*m**2 + 2*m - 6. What is c(z)?
4
Let o be (3/6*4)/2. Let u be (o - 0)*(-1 - 0). Let z(j) = 0*j + 1 - 3*j - 4*j. Determine z(u).
8
Let w = -2 - -4. Let s be (5 + w + -5)*-2. Let a(q) = -q**3 - 5*q**2 - 3*q - 2. Determine a(s).
-6
Let m(y) = y**2 - y. Suppose 18 = 12*p - 6*p. Calculate m(p).
6
Let z(w) = w**2 + 5*w - 3. Let p be (20/(-8))/((-3)/(-6)). Give z(p).
-3
Let c(f) = 0*f**3 + 2*f**2 - 1 - 2*f**3 + 0. Let q be c(-1). Let d(x) = 4*x - 2*x + 2 - q. Calculate d(-4).
-9
Let r(c) = 7*c**2 + 1. Suppose -2 = -2*a - 4. Determine r(a).
8
Suppose 4*y + 5*x + 50 = -y, -30 = 5*y + x. Suppose 3*l - 15 = -0*l. Let f(r) = 3*r - l*r + 2*r + r. Give f(y).
-5
Let f(j) = j**3 + 4*j**2 + j - 4. Suppose 9 = 3*u - 0*u. Suppose u*b - 13 + 31 = -5*d, b = -5*d - 16. Calculate f(d).
2
Let u(v) = -v**2 - 5*v. Suppose -2*i + 5*x - 8 - 1 = 0, 2*i = x + 11. Let t be 1 - i/6*3. Let b be u(t). Let c(d) = -d**2 + 5*d. Calculate c(b).
-6
Let y be (-2)/2 - (2 - -3). Let l(s) = 1315*s**2 - 1310*s**2 + s**3 + 2 - 6*s - 2 + 1. Calculate l(y).
1
Let b(q) = -q**2 - 8*q + 3. Let i(v) = -2*v**2 - 9*v + 3. Let s(w) = -3*b(w) + 2*i(w). Calculate s(3).
6
Let d(y) = 2*y**2 - 3*y + 2. Let m(k) = k - 5. Let p(i) = -i**2 + 8*i. Let v be p(7). Let r be m(v). Calculate d(r).
4
Let i be (33/22)/((-6)/(-20)). Let w(j) be the third derivative of 0 + 0*j - 1/6*j**4 - 1/6*j**3 + 1/30*j**i + j**2. What is w(3)?
5
Let j(s) be the third derivative of s**4/24 - 2*s**3 + 2*s**2. Let o = -18 + 24. Give j(o).
-6
Let k(o) = -2*o**2 + 14*o - 6*o + 2 - 8*o. Calculate k(-3).
-16
Let s = -21 + 15. Let k(f) = 14*f**2 - 5*f. Let q(h) = h**2 - h. Let x(l) = s*q(l) + k(l). Calculate x(-1).
7
Let z = -7 - -2. Let x(h) = 2*h**2 + 13*h - 14. Let a(o) = -6*o**2 - 38*o + 40. Let q(s) = 6*a(s) + 17*x(s). Determine q(z).
-13
Let p be 5/(-10)*(0 - 6). Suppose 0 = 4*c - p*j + 7 + 16, 0 = -5*c - 4*j - 21. Let f(q) be the first derivative of -q**3/3 - 3*q**2 - 5*q - 1. Give f(c).
0
Let j(y) = -y**2 - 10*y - 3. Let s be j(-9). Let h = s + -4. Let t(x) = 2*x + 2. Give t(h).
6
Let b be 1 - 6/2 - -5. Let z(f) be the first derivative of -f - 4 - 2*f + 2 - 1 + 2*f**2. Determine z(b).
9
Let q(w) be the first derivative of w**6/20 + w**5/60 + w**4/24 + w**3/6 - 3*w**2 + 6. Let z(r) be the second derivative of q(r). Calculate z(-1).
-5
Let p(b) = b**2 + 2*b - 1. Let v be p(1). Let i(t) = -2*t**3 + 3 + t - t**3 + t + 2*t**3 - 2*t**v. Give i(-2).
-1
Let l(i) = -6*i + 2. Let s(k) = -2*k + 3 - 7*k + 2*k. Let g(r) = 6*l(r) - 5*s(r). Give g(-6).
3
Let x(v) = v**3 - v**2 - 3*v - 3. Let p = 82 - 84. Determine x(p).
-9
Let w(f) = f**2 + 4*f - 4. Let x(v) = v**2 - 5*v - 7. Let t be x(6). Let q be (-11 - t)*1/2. Determine w(q).
1
Let t(o) = -9*o - 5 - 1 + o**2 + 15. Determ
|
{
"pile_set_name": "DM Mathematics"
}
|
11*m + 6*m**2 - 6 - m**3. What is the units digit of v(y)?
2
Let u(z) = -33*z + 3. What is the tens digit of u(-1)?
3
Suppose -10 = -5*i - 0. Suppose i*s + 3*r + 0*r = 31, 71 = 4*s + 3*r. What is the units digit of s?
0
Suppose -23 + 105 = 2*r. Suppose 6 = 5*b + r. Let t(p) = -p**3 - 7*p**2 - p - 6. What is the units digit of t(b)?
1
What is the tens digit of (-4944)/(-60) + 4/(-10)?
8
Let t(f) = f**3 - 7*f**2 + 6*f. Let x be t(6). Suppose r + 3 = x, b - 10 - 14 = 4*r. What is the tens digit of b?
1
Let k(b) = b**3 + 3*b**2 - 5*b + 1. Let w be k(-4). Suppose -4*p = -w*v - 149, -4*p - 2*v + 135 = 21. What is the tens digit of p?
3
Let j be (-10)/4*(-92)/5. Let d = j + -26. What is the tens digit of d?
2
Suppose -2*j = -255 - 289. What is the tens digit of (j/(-24))/(2/(-3))?
1
Let v(c) = -5*c**3 + 2*c**2 - c - 1. What is the tens digit of v(-2)?
4
Let t = -1 + 5. Let b(d) = -1 + d + t*d - 4*d. What is the units digit of b(7)?
6
Suppose -2 = -3*j - 32. Let d = 14 + j. What is the units digit of d?
4
Let w(m) = -15*m - 3. Let l be w(-3). Suppose i - l = -5*d - 7, 4*i + 3*d - 191 = 0. What is the units digit of i?
0
What is the units digit of 20/15 + (-338)/9*-3?
4
What is the tens digit of (-6 - 1)*(-8 - -3)?
3
Let g(x) = 11*x - 33. What is the units digit of g(6)?
3
Let i be -19 + 2/(-4)*-2. Let w = i + 29. Suppose -3*g + 33 = 3*n, -5*n + 0*n + w = g. What is the tens digit of g?
1
Let y(l) = l**2 + 4*l + 2. Let b be y(-5). Let i(z) = -z**2 - 5*z - 4. Let d be i(-5). Let f = b + d. What is the units digit of f?
3
Suppose 2 = -4*c - 26. Let r(z) = -z**3 - 5*z**2 + 10*z + 6. What is the tens digit of r(c)?
3
What is the units digit of 1/(3*(-5)/(-1635))?
9
Let y = 2 + -20. What is the units digit of y*(3 + (-7 - -3))?
8
Let b(k) = -k. Let v be b(-4). Suppose 0 = 5*w + 10, -3*a - 2*w = -v*a + 8. Suppose 0 = -a*s - 0*s + 20. What is the units digit of s?
5
Let r = 258 - 165. What is the tens digit of r?
9
Suppose 0 = 3*y - 6*y + 9. Suppose -y*j = j - 32. What is the units digit of j?
8
Suppose y - 280 = -4*x, -2*x + y + 131 + 3 = 0. Suppose -15 = 3*v - x. What is the units digit of v?
8
Let r = 136 + -74. What is the tens digit of r?
6
Suppose 2*u + 65 = 7*u + q, 5*u = -2*q + 70. Suppose 4 = -4*a + u. What is the units digit of a?
2
Let x be (2 - 3)*(2 - 1). What is the units digit of (x - 5)*(-8)/6?
8
What is the units digit of (3 + -2)*268/4?
7
Let y(f) = -9*f**3 - f**3 - 1 + 0*f**3. What is the units digit of y(-1)?
9
Let n(h) = -h**3 - 12*h**2 + 3. Let w be n(-12). Suppose -w*q + 5*q + 3*d = 84, 0 = 4*q + d - 178. What is the units digit of q?
5
Let b(q) = 3*q. What is the units digit of b(2)?
6
Suppose 6*z - 14 - 10 = 0. Let k(y) = 5*y + 6. Let d be k(-4). What is the units digit of (d/3)/(z/(-6))?
7
Let w = 6 - 3. Suppose -4 = -s - w. What is the units digit of s?
1
Let t = -11 - -53. What is the units digit of t?
2
Let m be 0/(-3*2/(-3)). Suppose m = 4*j - 5 - 3. Suppose 5*a + j = 2*g - 0, 5*g = -4*a + 71. What is the tens digit of g?
1
Let j be 1 - -1 - (-5 - 2). Suppose -3*d + 31 = -4*k, -3 = 3*k + j. Suppose -45 = -4*n - n - d*y, -y = 2*n - 17. What is the units digit of n?
8
Let u(i) = -i**3 + 3*i + 2*i**3 + 3 - 8*i**2 - 2*i. Suppose -2*o + x + 14 = 1, 49 = 5*o + 3*x. What is the units digit of u(o)?
1
Let v = -5 - -7. Suppose p = v + 5. Suppose 2*r - r = p. What is the units digit of r?
7
Let v(r) = r**3 - 8*r**2 - 9*r + 6. Let k be v(9). Suppose 8*d = k*d + 60. What is the units digit of d?
0
Suppose 0 = 3*s + 2*s. Let a = 10 - s. What is the units digit of a?
0
Let u = -10 + 10. Suppose l = 4*j - 112, u*l + 112 = 4*j + 2*l. What is the tens digit of j?
2
Let m = 5 - 3. What is the units digit of 11 + (2 - (3 + m))?
8
Let r(h) = 3*h - 8. What is the units digit of r(10)?
2
Suppose 1 = 2*o + 3. What is the units digit of 1/(o/(-2)) + 3?
5
Let g(v) = 44*v**2 + 2*v + 1. What is the units digit of g(-1)?
3
What is the tens digit of -1*(1*-24 - 3)?
2
Suppose g - 42 = 5*d - 212, -3*d = 5*g + 738. Let r be g/(-14) - 10/(-35). Suppose -t = 3*l - r, t - 4 = 2*l - 4*t. What is the units digit of l?
3
Suppose 0 = -2*p - 1 + 9, 4*p = 4*z - 16. Let v = z + -7. What is the units digit of v?
1
Let n(f) be the first derivative of f**3/3 - f**2/2 - f + 2. What is the units digit of n(5)?
9
Suppose 0 = -4*b - 3*w - 24, -2*b - 4*w - 10 = -3*w. Let u be (-4)/(-14) - (-10)/14. What is the units digit of (1/b)/(u/(-3))?
1
Let q = 21 - 18. Suppose 0*l = q*l - 75. What is the tens digit of l?
2
Suppose 52 + 1 = v - 5*u, 4*v = -u + 149. What is the tens digit of v?
3
Suppose 7 = 5*q + 2. Suppose -2*w + 12 = -4*r, r - q = 2*r. Suppose w*x - 17 = -5*s, 4*s = 6*x - x - 11. What is the units digit of s?
1
Suppose 6*s - 2*s = 0. Suppose -3*n + 0*n + 114 = s. Suppose 5*l - n = 22. What is the units digit of l?
2
Suppose 4*o + 30 = -o. Let u = 16 + o. What is the units digit of u?
0
Suppose 5*d - 747 = -4*c, -880 = -5*d - 5*c - 135. What is the hundreds digit of d?
1
Let o(f) = -f**2 + 9*f + 1. Suppose b - 2*j = 16 - 2, -4*b = 2*j - 16. What is the units digit of o(b)?
9
Let s(n) = 4*n - 51. What is the units digit of s(29)?
5
Let f(k) = k**3 + 4*k**2 + 2*k - 3. Let w be f(-3). Suppose -4*d = -2*s + 8, -2*d + 4*s - 14 = -4. Let t = w - d. What is the units digit of t?
1
Let q = -28 + 40. Let o(j) = 20 + 12*j - j**2 - 38 + 2*j. What is the units digit of o(q)?
6
Let a(l) = l**3 + 4*l**2 - 2*l - 5. Let o be a(-4). Let k = 9 + o. What is the tens digit of k?
1
Let k be (0 + -1)/((-4)/(-24)). What is the tens digit of 3 + (-14)/4*k?
2
Let j be -1*((-3)/(-3) - 5). Let q = j - -2. What is the units digit of q?
6
Let n be ((-138)/(-15))/((-1)/5). Let x = n - -82. What is the tens digit of x?
3
Let i be (6/10)/((-2)/10). What is the units digit of 1/(4*i/(-60))?
5
Let j = 71 + -51. What is the tens digit of j?
2
Suppose -3*n + 274 = 3*g + 2*g, 5*n - 4*g = 432. What is the tens digit of n?
8
Let m(p) = -p - 8. Let f be m(-11). Let u(l) = 4*l**2. Let y(t) = -5*t**2. Let d(a) = f*u(a) + 2*y(a). What is the units digit of d(-2)?
8
Let w(z) = 9*z**3 - 2*z**2 + z + 1. Let b(k) = -8*k**3 + 3*k**2 - k - 2. Let c(j) = 3*b(j) + 4*w(j). What is the tens digit of c(1)?
1
Let m = 21 + -2. What is the units digit of m?
9
Let d(b) = -20*b**3 + b**2. Let q be d(-1). Suppose -y + 2*y + 3*h = 9, -q = 3*y - 3*h. Let u(z) = -z + 2. What is the units digit of u(y)?
5
Suppose 4*o = 3*p - 14, p - 2*o = -3*p + 22. Suppose 2*j = 20 + p. What is the units digit of j?
3
Let v be (0 - 0)*(0 + -1). Let p be (-3 + v)*1/3. Let a(d) = 8*d**2 + d. What is the units digit of a(p)?
7
Suppose 0 = -0*g + 4*g. Suppose f + 48 = 4*v - 3*f, g = f - 3. What is the tens digit of v?
1
Let a = -9 - -17. What is the units digit of a?
8
Let i(q) = -2*q + 6. Let l(s) = s**2 + 17*s + 16. Let g be l(-16). What is the units digit of i(g)?
6
Suppose -5*f + 5 = -4*f. What is the units digit of f?
5
Let n be (-2)/8 - (-3)/12. Suppose 5*s - 507 + 147 = n. Suppose -3*w + s = w. What is the tens digit of w?
1
Suppose 0*i = -6*i + 516. What is the tens digit of i?
8
Let n(j) = -j - 7. Let p be n(-7). Suppose v - 5*t - 23 - 8 = 0, p = -2*t - 4. What is the units digit of v?
1
Let z be 3/(-9) + (-8)/(-6). Suppose -2*f = z - 9. Let w(h) = -h**3 + 6*h**2 - 7*h + 4. What is the units digit of w(f)?
8
Suppose 0*a - 1 = -a. What is the units digit of 0 + (2 + -1)*a?
1
Let n(t) = t**3 + 9*t**2 + 3. Let c = 17 + -26. Let j be n(c). Let g = j - 2. What is the units digit of g?
1
Suppose 0*s + 18 = 3*s. Suppose 0 = 2*l + 2*f + 4, l + f = s*l - 14. Suppose 3 = -l*i + 5. What is the units digit of i?
1
What is the units digit of ((-4)/(-2))/(-2)*-1?
1
Let t(r) = 5*r**3 + 23*r**2 - 6*r + 11. Let s(x) = 2*x**3 + 8*x**2 - 2*x + 4. Let q(j) = 8*s(j) - 3*t(j). What is the units digit of q(5)?
9
Suppose -3*t + 2*x - 37 = 0, 0*x - 47 = 3*t - 4*x. Let w = t - -14. What is the units digit of w?
5
Let i(r) = -2*r - 4. Let w be (5 - 2)/(1*-1). Let f be i(w). Let j(l) = l**3 - 2*l**2 + l. What is the units digit of j(f)?
2
Suppose 4*t - 37 = 2*o - 7, -2*t = -4*o. Let m(j) = 2*j + 3. What is the tens digit of m(t)?
2
Suppose 2*f - 4*x = 4*f - 206, 5*f + 5*x - 490 = 0. What is the tens digit of f?
9
Suppose 33 = m + 4*t, -3*t + 125 = 5*m + 11. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
utes are there between 2:46 PM and 4:28 PM?
102
How many minutes are there between 2:34 PM and 9:30 PM?
416
How many minutes are there between 12:28 AM and 7:56 AM?
448
How many minutes are there between 9:48 AM and 7:00 PM?
552
How many minutes are there between 5:11 AM and 5:59 AM?
48
How many minutes are there between 10:52 PM and 12:36 AM?
104
What is 121 minutes after 9:17 AM?
11:18 AM
What is 38 minutes after 2:09 PM?
2:47 PM
How many minutes are there between 11:49 AM and 9:59 PM?
610
What is 693 minutes after 6:01 AM?
5:34 PM
How many minutes are there between 6:58 PM and 7:04 PM?
6
How many minutes are there between 6:05 PM and 2:16 AM?
491
What is 63 minutes before 3:39 AM?
2:36 AM
What is 655 minutes after 5:49 AM?
4:44 PM
How many minutes are there between 3:28 PM and 11:30 PM?
482
What is 283 minutes before 5:49 AM?
1:06 AM
What is 171 minutes before 7:28 AM?
4:37 AM
How many minutes are there between 3:34 PM and 5:16 PM?
102
How many minutes are there between 8:10 AM and 6:49 PM?
639
What is 709 minutes before 6:15 PM?
6:26 AM
What is 408 minutes after 2:20 AM?
9:08 AM
What is 52 minutes before 1:31 PM?
12:39 PM
How many minutes are there between 3:48 AM and 4:39 AM?
51
How many minutes are there between 2:41 PM and 8:40 PM?
359
What is 102 minutes before 11:51 AM?
10:09 AM
What is 274 minutes after 11:09 PM?
3:43 AM
How many minutes are there between 7:56 AM and 12:20 PM?
264
How many minutes are there between 10:37 PM and 5:27 AM?
410
What is 172 minutes before 7:45 PM?
4:53 PM
How many minutes are there between 9:44 PM and 8:56 AM?
672
What is 91 minutes after 12:30 PM?
2:01 PM
What is 664 minutes after 9:14 AM?
8:18 PM
What is 386 minutes after 5:03 AM?
11:29 AM
What is 355 minutes before 11:30 AM?
5:35 AM
How many minutes are there between 8:06 AM and 2:45 PM?
399
What is 445 minutes before 7:52 AM?
12:27 AM
What is 97 minutes after 11:20 PM?
12:57 AM
How many minutes are there between 6:06 PM and 2:50 AM?
524
How many minutes are there between 4:03 AM and 4:17 AM?
14
What is 56 minutes after 10:30 PM?
11:26 PM
What is 538 minutes before 6:19 PM?
9:21 AM
What is 646 minutes after 10:02 AM?
8:48 PM
What is 136 minutes after 12:28 AM?
2:44 AM
What is 700 minutes before 10:16 AM?
10:36 PM
How many minutes are there between 12:18 PM and 6:25 PM?
367
How many minutes are there between 5:47 AM and 12:41 PM?
414
How many minutes are there between 8:41 AM and 10:31 AM?
110
How many minutes are there between 1:16 PM and 6:05 PM?
289
What is 386 minutes before 7:58 PM?
1:32 PM
How many minutes are there between 5:03 AM and 11:59 AM?
416
How many minutes are there between 4:52 PM and 9:38 PM?
286
How many minutes are there between 5:24 PM and 2:31 AM?
547
How many minutes are there between 1:12 PM and 3:07 PM?
115
How many minutes are there between 11:25 AM and 3:37 PM?
252
How many minutes are there between 3:22 AM and 2:50 PM?
688
What is 597 minutes before 12:24 PM?
2:27 AM
How many minutes are there between 10:11 PM and 12:56 AM?
165
How many minutes are there between 12:32 AM and 10:41 AM?
609
What is 504 minutes after 5:23 AM?
1:47 PM
What is 337 minutes before 11:30 AM?
5:53 AM
How many minutes are there between 7:43 AM and 6:13 PM?
630
How many minutes are there between 4:09 PM and 5:05 PM?
56
How many minutes are there between 7:04 AM and 10:59 AM?
235
What is 353 minutes after 8:43 AM?
2:36 PM
How many minutes are there between 12:57 PM and 7:22 PM?
385
What is 98 minutes after 6:51 AM?
8:29 AM
What is 4 minutes before 4:14 AM?
4:10 AM
How many minutes are there between 6:13 AM and 3:56 PM?
583
How many minutes are there between 7:51 AM and 2:30 PM?
399
How many minutes are there between 7:23 PM and 2:46 AM?
443
What is 165 minutes after 4:43 PM?
7:28 PM
How many minutes are there between 3:45 AM and 8:43 AM?
298
What is 243 minutes after 12:22 PM?
4:25 PM
What is 679 minutes after 1:40 PM?
12:59 AM
What is 520 minutes after 9:13 AM?
5:53 PM
What is 492 minutes before 5:37 AM?
9:25 PM
How many minutes are there between 11:27 AM and 11:09 PM?
702
What is 92 minutes after 5:37 PM?
7:09 PM
How many minutes are there between 4:34 PM and 7:48 PM?
194
What is 405 minutes before 7:58 PM?
1:13 PM
What is 88 minutes before 2:51 PM?
1:23 PM
What is 706 minutes before 8:31 PM?
8:45 AM
How many minutes are there between 6:36 AM and 9:12 AM?
156
What is 264 minutes after 10:39 PM?
3:03 AM
What is 184 minutes before 11:06 PM?
8:02 PM
What is 82 minutes before 9:31 PM?
8:09 PM
How many minutes are there between 6:20 AM and 6:02 PM?
702
How many minutes are there between 9:51 PM and 12:20 AM?
149
What is 355 minutes after 5:28 PM?
11:23 PM
What is 584 minutes after 1:14 PM?
10:58 PM
What is 559 minutes after 1:25 PM?
10:44 PM
What is 148 minutes before 2:29 PM?
12:01 PM
What is 36 minutes after 7:55 AM?
8:31 AM
How many minutes are there between 7:45 PM and 1:05 AM?
320
What is 558 minutes after 11:13 PM?
8:31 AM
What is 646 minutes before 10:03 PM?
11:17 AM
What is 92 minutes before 4:43 AM?
3:11 AM
What is 443 minutes after 6:10 AM?
1:33 PM
How many minutes are there between 11:06 AM and 3:59 PM?
293
What is 315 minutes before 8:32 AM?
3:17 AM
What is 508 minutes before 6:52 AM?
10:24 PM
How many minutes are there between 3:25 AM and 3:31 AM?
6
How many minutes are there between 10:15 AM and 8:51 PM?
636
How many minutes are there between 12:28 PM and 3:57 PM?
209
What is 398 minutes after 10:56 AM?
5:34 PM
How many minutes are there between 7:49 AM and 6:53 PM?
664
How many minutes are there between 2:24 AM and 10:07 AM?
463
How many minutes are there between 12:13 PM and 12:51 PM?
38
What is 289 minutes after 6:50 PM?
11:39 PM
What is 52 minutes after 5:18 AM?
6:10 AM
What is 456 minutes after 1:42 PM?
9:18 PM
What is 253 minutes after 12:46 PM?
4:59 PM
What is 320 minutes before 4:37 PM?
11:17 AM
What is 493 minutes before 10:17 PM?
2:04 PM
How many minutes are there between 11:29 PM and 8:21 AM?
532
What is 473 minutes before 5:53 PM?
10:00 AM
What is 373 minutes after 1:59 PM?
8:12 PM
What is 401 minutes after 8:07 AM?
2:48 PM
What is 9 minutes before 12:12 AM?
12:03 AM
How many minutes are there between 9:14 PM and 9:23 PM?
9
What is 681 minutes after 8:22 AM?
7:43 PM
What is 709 minutes after 6:13 AM?
6:02 PM
How many minutes are there between 1:55 PM and 10:45 PM?
530
What is 374 minutes before 2:13 AM?
7:59 PM
How many minutes are there between 1:44 PM and 11:56 PM?
612
What is 371 minutes after 3:56 AM?
10:07 AM
What is 445 minutes before 5:32 PM?
10:07 AM
How many minutes are there between 3:38 PM and 11:38 PM?
480
How many minutes are there between 9:14 PM and 2:36 AM?
322
What is 558 minutes after 8:53 PM?
6:11 AM
How many minutes are there between 11:29 PM and 10:29 AM?
660
What is 394 minutes before 2:11 PM?
7:37 AM
How many minutes are there between 11:03 AM and 7:15 PM?
492
What is 302 minutes after 10:44 PM?
3:46 AM
How many minutes are there between 10:39 AM and 9:07 PM?
628
What is 321 minutes after 4:52 PM?
10:13 PM
How many minutes are there between 10:46 AM and 1:32 PM?
166
How many minutes are there between 1:08 PM and 1:33 PM?
25
How many minutes are there between 4:18 PM and 4:04 AM?
706
How many minutes are there between 7:44 PM and 3:22 AM?
458
How many minutes are there between 10:40 PM and 6:13 AM?
453
How many minutes are there between 1:25 AM and 12:01 PM?
636
What is 664 minutes after 9:34 PM?
8:38 AM
How many minutes are there between 3:23 AM and 6:03 AM?
160
How many minutes are there between 11:04 AM and 1:40 PM?
156
What is 406 minutes before 11:21 AM?
4:35 AM
How many minutes are there between 2:43 PM and 2:08 AM?
685
How many minutes are there between 2:49 PM and 2:31 AM?
702
How many minutes are there between 11:31 PM and 3:35 AM?
244
What is 11 minutes after 6:55 AM?
7:06 AM
What is 265 minutes after 9:06 AM?
1:31 PM
What is 264 minutes after 11:57 PM?
4:21 AM
How many minutes are there between 5:29 PM and 5:01 AM?
692
How many minutes are there between 5:51 AM and 12:51 PM?
420
How many minutes are there between 10:43 AM and 6:55 PM?
492
What is 132 minutes before 6:34 PM?
4:22 PM
What is 643 minutes before 2:58 AM?
4:15 PM
What is 130 minutes before 12:14 PM?
10:04 AM
What is 123 minutes afte
|
{
"pile_set_name": "DM Mathematics"
}
|
closest to -58? (a) 2/13 (b) 0.2 (c) m
c
Let h(b) = -2*b - 46. Let x be h(-25). What is the closest to -0.2 in x, -3/4, -9/4?
-3/4
Let g be 2358/(-7995) - 2/13. Let p = 2/41 + g. What is the closest to p in -3, -4, -5?
-3
Let z = 3.08 - 0.08. Let m = 11 + -13. What is the closest to 2/9 in -1, z, m?
-1
Let u = 4.3 - 9.3. Let h = -8 - -13. What is the nearest to 0.1 in h, 1, u?
1
Let s = -2.02 - -0.02. Suppose 1 = -2*x + 3*p, -4*x - 1 = 4*p - 9. Which is the nearest to x? (a) 1/3 (b) 2 (c) s
a
Suppose 11 = f - 0*f. Let n be (f/3 + -2)*-3. Let d(g) = -g**3 + 11*g**2 + 24*g + 28. Let o be d(13). What is the nearest to 1/2 in 0, n, o?
0
Let p be 40/(-30)*(-2)/(-2)*3. Let w = 1195/7 - 171. What is the closest to -1/3 in -3/4, w, p?
w
Let d = -46.5 + 47. What is the nearest to -1 in -3, -1/4, d?
-1/4
Let r = -2.4 + 2.4. Which is the closest to 2/7? (a) -1/3 (b) 4 (c) r
c
Let c be 196/(3 - 7) + 1. Let j be ((-8)/c)/(1/(-4)). What is the closest to j in -0.3, 1/2, 3?
-0.3
Let o be 3 - ((-58)/(-18) + 0). Which is the closest to 5/7? (a) -1/7 (b) -1 (c) o
a
Let j be (30/200)/(3/(-2)). Which is the nearest to 0? (a) -1/3 (b) j (c) -0.5
b
Suppose -2*r = -2*s + 20, 0 = -3*r + 7*r + 4*s. Let g be (-2)/(0 + 1) + r. Let t be (-2)/2 - 10/g. Which is the closest to -1? (a) -1/5 (b) t (c) -2/3
c
Let a = 0.1 - 0.3. Let d = -0.3 - a. Suppose -4*k + k + 2*w - 19 = 0, -2*k - 2*w + 4 = 0. What is the closest to d in -1/2, 2/5, k?
-1/2
Let p = -15.6 + 16. Which is the nearest to -3/7? (a) p (b) -1/2 (c) 2/13
b
Let x = -0.7 + 0.66. Let d = x - -3.04. Which is the closest to -1? (a) 0.1 (b) d (c) -2
c
Let m be (-9)/(-42)*(-4)/(-3). Which is the nearest to 1/2? (a) m (b) 2 (c) -3
a
Let g be (2/(-4))/((-1)/4). Let d = 0.2 + -0.1. What is the closest to 1/3 in g, 2/13, d?
2/13
Let v = 0.122 + 0.178. What is the closest to v in -2, -3, 4/11?
4/11
Let j = 10.7 + -22. Let x = -11 - j. Suppose -2*q = -6, o - 2*q = 2*o - 7. Which is the nearest to o? (a) x (b) 0.4 (c) 0
b
Suppose 4*o + 13 = q, -2*o + o = 5*q - 2. What is the closest to -1 in q, 2, 7/5?
q
Let i(d) = -d - 8. Let m be i(-6). Let j be -2 + (m - (-27)/6). Which is the closest to j? (a) 0.5 (b) 0 (c) -2/3
a
Suppose -2*h - m + 4 = 8, 5*m + 20 = 0. What is the nearest to h in -4, 0.3, 2?
0.3
Let d = 235/1353 - -1/123. What is the nearest to 7 in 3/5, 1/4, d?
3/5
Let y = -28 + 33. What is the nearest to -0.1 in y, -0.4, 3/7?
-0.4
Let h = 27 - 26.94. Which is the closest to -1? (a) -2 (b) 0.2 (c) h
a
Let t be (10/(-1))/5 - 40/(-18). What is the nearest to -0.2 in t, 1, 0.2?
0.2
Let f be (-4)/(-18) + 72/405. Which is the nearest to f? (a) -2 (b) 1 (c) 1/9
c
Suppose 2*x + 2*i - 20 = 0, -x - 2*i + 18 = -3*i. Suppose r + 1 = -x. Let h be (-11)/r + 2/(-6). Which is the nearest to h? (a) -0.1 (b) 1/2 (c) 3/2
b
Let y = 2 + 1. Let k(d) = -d**3 - 3*d**2 + 3*d - 2. Let u be k(-4). Which is the closest to -0.2? (a) y (b) 0.3 (c) u
b
Let j = 7.94 - 8. Let i = 0.36 + j. What is the nearest to -0.1 in 2/3, 2, i?
i
Suppose -3*d + 5*d = 10. Suppose -d*k + 2 = -3. Which is the closest to 0.2? (a) -4 (b) k (c) 3
b
Suppose -4*o - 4 = -5*o. Suppose -m + 5 + 0 = 0, -o*p = 2*m - 2. Let r be (p/(-4))/((-3)/(-3)). Which is the nearest to r? (a) 5 (b) 0 (c) -5
b
Let z = 1.1 - 1.2. Which is the nearest to z? (a) 1/4 (b) 0 (c) -0.3
b
Suppose -10*v + 11*v + 2 = 0. What is the nearest to -8 in 0.3, v, -5?
-5
Let q = 10 + -7. Let m = -426 + 426.4. What is the nearest to 1/4 in q, -1/3, m?
m
Let m = 133/3 + -45. Let p = 64 + -321/5. What is the closest to p in -4, -5, m?
m
Let d = -19.4 - -16. Let o = d + 3. Let u = 3/22 - -1/22. What is the nearest to -0.1 in u, -0.5, o?
u
Let t be 18/7 + 54/126. Which is the closest to -0.1? (a) 0 (b) t (c) 1/6
a
Suppose 8*w + 10 = 3*w. Let c be (-8)/(-6) - (w - -3). What is the closest to -2/7 in -1/7, -2/11, c?
-2/11
Let p = 16 + -16.1. Suppose -2*y + 4 = -3*y. Which is the closest to p? (a) y (b) -3/5 (c) 3
b
Let n = -43 - -48. Let w = 0.9 + -1. Let q = w - 0.2. Which is the closest to -1? (a) q (b) n (c) 0.2
a
Let u = 8.86 + 0.14. Let m = u + -12. What is the closest to -0.1 in m, 1, -4?
1
Let x = 7 - 7.3. What is the nearest to -3 in 4, x, -3/5?
-3/5
Let c = 0.09 + -0.19. What is the nearest to 0.1 in -1, c, -2?
c
Let q = 0.01 + -0.01. Let s = 0 - q. Which is the nearest to -2? (a) 0.5 (b) s (c) 2/11
b
Suppose 0 = s - 3*u - 11, 13 = 6*s - s - u. Suppose 5*t - 25 = -s*p, p - 17 = -0*t - 4*t. Let y = 3 + -2.9. What is the closest to y in 0, t, 2?
0
Let w = 0.1 - 0.2. Suppose 12*s - 5*s - 168 = 0. Suppose -4 = -2*r - u, 2*r - r = 5*u + s. What is the closest to w in r, -2/5, 3?
-2/5
Let q = 0.37 - 0.3. Let r = q - 5.07. Let s = -0.09 + 0.59. What is the closest to 0.1 in r, s, -0.4?
s
Let w = 3 + -2. Let c = -0.09 - 5.91. Let k = c + 5.7. What is the closest to 0 in -0.5, k, w?
k
Let f = 0.3 + -0.4. Let u = 0.7 - -0.3. Let g = 4 - u. What is the nearest to 2 in g, 2, f?
2
Let r = 7.4 + -3.4. Let q = 1.95 + -2. What is the closest to 0 in 1, r, q?
q
Let p = -119 + 121. Let n = 10 - 5. Which is the closest to -0.1? (a) -2/7 (b) p (c) n
a
Let l be ((-12)/(-93))/(9 + -11). Which is the nearest to -0.1? (a) 1 (b) 0.3 (c) l
c
Let r = -0.33 - -0.33. Which is the nearest to r? (a) -1 (b) 0.1 (c) 3
b
Let c = -1 + 1.4. Let v = c - 0.3. Let f = -104 + 104.1. What is the closest to v in f, 0.5, 5?
f
Let q = 8/5 + -6/5. Which is the closest to q? (a) 0.2 (b) -0.2 (c) 0
a
Let t = -0.1 - -0.2. Let z = -15.8 + 12.8. What is the nearest to t in -0.03, z, 3?
-0.03
Let h = 17 + -16. What is the closest to -1/2 in h, -0.4, -8?
-0.4
Let k = -161 - -1130/7. Which is the closest to 2/3? (a) k (b) 0.4 (c) 3
a
Let z = 6.7 - 7. What is the nearest to 1 in 0.4, z, -2?
0.4
Let q be (-1 + (-14)/(-12))*-8. Let l = -8 - -7. What is the closest to 0.1 in -2/7, q, l?
-2/7
Let g = 50 + -249/5. Which is the closest to g? (a) -0.5 (b) -0.9 (c) -4
a
Let p be 1/((14/(-2))/(-1)). Let u = 3138622/65 + -48289. Let g = 30/13 + u. Which is the nearest to g? (a) -0.4 (b) -5 (c) p
a
Let y be (-44)/16 + -1 + 4. Let s = 0.4 + -0.4. What is the nearest to s in 2, y, -4?
y
Let a = -0.341 - -0.041. What is the nearest to 2 in 0, a, 5?
0
Let r(y) = -y + 2. Let u be r(0). Let a be 2/4*-1*-10. Suppose p + 3 = 4*n - 5, -5*n = a*p + 15. What is the nearest to n in -2, u, -1?
u
Let m = 3 + -3. Let s = 3 + -13. Let c = s - -10.4. What is the closest to -2 in m, -3, c?
-3
Let g be (2/(-20))/((-6)/24). What is the nearest to 2 in g, -4, 3?
3
Let o = 93 - 97.3. Let p = -0.25 - 0.05. Let i = o - p. What is the closest to -2/5 in i, 2, -5?
2
Suppose 3*c + 7 = -2. Let s = 51 - 155/3. Let y = -27/8 + 77/24. What is the nearest to s in 3, y, c?
y
Let j = -183/865 - -2/173. Let y = 0.11 - -3.89. Let p = y - 3. Which is the nearest to p? (a) 2/5 (b) -4 (c) j
a
Suppose 5*m = -17 + 2. Which is the closest to 0? (a) m (b) 0.2 (c) -1
b
Let p = -307/217 - -35/31. Let h = -0.2 + -0.2. Which is the nearest to p? (a) -0.5 (b) 3/8 (c) h
c
Let x(o) = o + 8. Let y be x(-6). Suppose -3*m - 2*k = -2*m + 5, -4*k - 8 = 0. Let l = m + y. Which is the nearest to l? (a) -5 (b) 2/3 (c) 0.1
b
Let u be (-836)/(-35) - (-5 + 5). Let s = u + -118/5. Let g = 2.3 - 2. What is the closest to s in -2/3, -2, g?
g
Let z = -3.4 + 3. Let j = 0.43 - 0.13. Which is the closest to 1? (a) 1 (b) z (c) j
a
Let w = 4.4 - -0.6. Which is the closest to 2? (a) 0 (b) 3 (c) w
b
Let q(t) = -t**3 - 5*t**2 + 5*t - 8. Let y be q(-6). Let v be y + (-1)/(0 + 1). Which is the nearest to 0.1? (a) 0.1 (b) -1/3 (c) v
a
Let f be 2/(-10) - (-2)/10. Let p be (-6)/(-75)*(f + -1). Let m = 1.9 - -0.1. Which is the closest to 0.1? (a) p (b) m (c) -2/5
a
Let f(p) = -p**3 - 6*p**2 + 2. Let v be f(-6). Suppose -z - v + 4 = 0. What is the closest to 5 in z, -1, -5?
z
Let o = -0.076 + -7.924. Which is the closest to 0.2? (a) -3 (b) 1 (c) o
b
Let f = -1767/7 - -252. Let m = -1 - -1. Suppose -2 = -2*o + 4. Which is the nearest to m? (a) f (b) 4 (c) o
a
Let p = -0.1 + 2.1. What is the closest to 2 in -5/3, -3/5, p?
p
Let s = -179/9 - -20. Let p = 0.5 - 0.8. Which is the nearest to 0.1? (a) p (b) -2/3 (c) s
c
Let v = -1.3 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
9326 for t.
55
Solve -2548*g + 17039 = -19490 - 27171 for g.
25
Solve 775*p - 3003 + 464 = -1530 + 14491 for p.
20
Solve -168*r + 414*r - 687*r = 547*r - 37544 for r.
38
Solve -285*k = 393*k + 330*k - 915 + 8979 for k.
-8
Solve -718*a - 505*a - 110168 = 120*a - 171*a for a.
-94
Solve 35805 = 139*g + 40670 for g.
-35
Solve 323*t + 366*t + 8247 = -76881 + 9338 for t.
-110
Solve -440*c + 3013 + 3766 = 83*c + 503 for c.
12
Solve -65329 - 48055 - 46808 = -2503*k for k.
64
Solve 73*x + 568 = -6030 + 28 for x.
-90
Solve 183*l + 55080 = 735*l + 258*l for l.
68
Solve 540 = -6231*o + 6186*o for o.
-12
Solve -41*n - 399 = 48*n - 7*n - 6631 for n.
76
Solve -1041*w + 17480 + 1036 = -1263 for w.
19
Solve 19*w + 84*w - 32 = -547 for w.
-5
Solve -6197*j + 94848 = -4373*j for j.
52
Solve -3818*n - 57866 = 190304 for n.
-65
Solve -16*s - 2537 = 29*s - 4*s - 405 for s.
-52
Solve -2427*s + 5001*s + 4455*s - 193560 = -2649*s for s.
20
Solve 1322*u = -54177 - 12593 - 5824 - 26556 for u.
-75
Solve 7976 + 1459 = 111*i for i.
85
Solve 1185*f + 1130*f + 4617 = 2144*f for f.
-27
Solve 53937 - 51695 = -118*n for n.
-19
Solve -1431*k - 709*k = -471*k - 75105 for k.
45
Solve 1585 + 1056 = 565*r - 2677 - 2027 for r.
13
Solve 9040*p - 141245 - 520527 = -92252 for p.
63
Solve -31*l - 26*l + 46*l + 441 - 1167 = 0 for l.
-66
Solve 822*q + 17415 + 1595 = 205*q - 12457 for q.
-51
Solve 28*c + 1646*c = 26784 for c.
16
Solve -5667 = 418*t - 14777 - 6356 for t.
37
Solve -503*b + 258*b - 367 = 122*b for b.
-1
Solve -442*m - 800*m + 229557 = 168699 for m.
49
Solve -859*z + 989*z + 6370 = 0 for z.
-49
Solve -315*m + 44906 + 26956 = 369*m + 13038 for m.
86
Solve -295*p + 12122 - 4157 = 0 for p.
27
Solve -213*x = -1527*x - 3645 + 11853 + 58806 for x.
51
Solve -163*w - 2045 + 419 = 4242 for w.
-36
Solve -3308 = -599*o - 7812 - 8075 for o.
-21
Solve -363*x + 5110 - 56 = 368 - 15642 for x.
56
Solve 5227*c - 2584*c = 2600*c - 860 for c.
-20
Solve 2720 = -82*o + 4360 for o.
20
Solve -211*t = -365*t + 657*t + 854*t - 115345 for t.
85
Solve 76*v = 37*v + 228*v + 165*v + 7434 for v.
-21
Solve -22*p - 98*p + 2291 = 731 for p.
13
Solve -154*y + 248*y = 143*y - 931 for y.
19
Solve 128*u - 180 = 40*u + 2*u + 26*u for u.
3
Solve -2260*v + 42992 - 14283 = -122711 for v.
67
Solve 765*r + 9051 + 3136 = -520*r - 14798 for r.
-21
Solve 357*r - 1107*r + 330*r - 710 = -349*r for r.
-10
Solve 1073*g - 8*g + 287*g = -1817*g - 326407 for g.
-103
Solve 1682*g - 14726 - 34931 + 2764 - 33843 = 0 for g.
48
Solve -629*w - 8554 = -811*w for w.
47
Solve 0 = 355*x + 3762598 - 3737038 for x.
-72
Solve 5401*i - 3685*i + 36036 = 0 for i.
-21
Solve 640 = -94*b + 15*b + 1576 - 5834 for b.
-62
Solve -1432*c - 123773 - 110847 = 628*c - 90420 for c.
-70
Solve -159*v + 37*v = -5002 for v.
41
Solve -153*o - 689 - 55 = -29*o for o.
-6
Solve -31*p = 69*p + 75*p + 12*p - 2805 for p.
15
Solve -14*o = -147*o - 119*o - 6552 for o.
-26
Solve 101*f - 1057 = -0*f - 0*f - 3784 for f.
-27
Solve 663*b + 561*b + 645*b = -2560 + 691 for b.
-1
Solve -89*r = -9*r + 2960 + 3398 - 2118 for r.
-53
Solve 49*r + 82*r + 47*r = -0*r - 16376 for r.
-92
Solve 201*z + 15330 - 44240 = -44*z for z.
118
Solve -161*c + 920*c - 275 - 605 = 638 for c.
2
Solve -1398*n + 22028 = 77948 for n.
-40
Solve -4365 - 4139 = -651*y + 35113 for y.
67
Solve 2026 + 2220 = 142*f + 980 for f.
23
Solve -261 - 86 = -36*q + 373 for q.
20
Solve -659*j - 76*j - 16575 = 540*j for j.
-13
Solve 0 = 27429*k - 27309*k - 3480 for k.
29
Solve -43*h + 122*h + 15714 = -115*h for h.
-81
Solve 11747*i + 813977 = -2950 + 153504 - 945916 for i.
-137
Solve 27599 = 1343*u + 419*u - 45883 - 18142 for u.
52
Solve -5133 = -2428*v + 146426 - 15591 for v.
56
Solve -587*z + 328*z - 8800 = -369*z for z.
80
Solve -11975 + 154 = 776*h + 30859 for h.
-55
Solve 70*n + 6986 = -159*n - 4693 for n.
-51
Solve -44*a = -134*a - 29*a - 4522 for a.
-38
Solve -79*j = -263897 + 266978 for j.
-39
Solve -359923*f - 14256 = -360055*f for f.
108
Solve -53614 + 52504 = 74*j for j.
-15
Solve 40*j + 2151977 - 2154417 = 0 for j.
61
Solve -206*a + 90*a + 31*a - 18 = 322 for a.
-4
Solve 0 = 7404241*d - 7404162*d for d.
0
Solve -1389*p - 48 = -1403*p + 372 for p.
30
Solve 346*c = 384 + 5498 for c.
17
Solve 29796 - 49840 - 57265 = 2851*i + 5370 for i.
-29
Solve -98318*c = -99990*c + 173888 for c.
104
Solve -53*p + 3241 = -628*p - 5384 for p.
-15
Solve 229341*i - 228374*i + 71558 = 0 for i.
-74
Solve -5423648*g + 5423383*g + 6685 + 3650 = 0 for g.
39
Solve -31722 = -t - 31783 for t.
-61
Solve -309*b + 5124 = -456*b + 208*b for b.
84
Solve 10*g + 275 = -52 - 63 for g.
-39
Solve -10*a + 4*a - 40 = -30 + 44 for a.
-9
Solve 12*n = -20*n - 15*n + 899 - 3014 for n.
-45
Solve 52305 = 15955*d - 15218*d + 150326 for d.
-133
Solve -12950*i + 12811*i = 2363 for i.
-17
Solve -68466 = 101*i - 60184 for i.
-82
Solve 9872*r - 9774*r - 2548 = 0 for r.
26
Solve 12278 - 23675 = 1644*r + 27741 + 6894 for r.
-28
Solve 0 = -123*u - 649 + 855 - 2543 for u.
-19
Solve 43327824*j - 26980 = 43327540*j for j.
95
Solve -27117 - 19169 - 17920 = 522*b for b.
-123
Solve 122*p + 2456 + 2546 = 0 for p.
-41
Solve 0*z + 8*z - 457 + 175 = 14*z for z.
-47
Solve -20*u + 398 + 1681 = -78*u - 19*u for u.
-27
Solve -1318*l + 371*l - 12051 = 33405 for l.
-48
Solve -582*b - 41001 + 72429 = 0 for b.
54
Solve 8004 + 2099 + 7223 = -153*p - 2411 for p.
-129
Solve 0 = -2496*t + 7482*t - 229356 for t.
46
Solve -34660*v + 34858*v - 1188 = 0 for v.
6
Solve -105*g - 745 + 2571 + 2664 = 710 for g.
36
Solve 2259*i + 51224 - 12917 = 180*i - 57327 for i.
-46
Solve 860*h + 17432 + 11808 = 0 for h.
-34
Solve -101*m + 9483 = 4534 for m.
49
Solve 0 = -1094*t - 7525 - 75619 for t.
-76
Solve 40721 = -4686*u + 1450*u - 39368 - 7283 for u.
-27
Solve -168*v - 623*v = -88*v + 71003 for v.
-101
Solve 0 = -6*v - 2*v - 3*v + 5*v + 354 for v.
59
Solve 167617*o = 167544*o - 146 for o.
-2
Solve 132*j - 1007 + 552 = 4033 for j.
34
Solve 261*z + 7381 = -682*z + 46469 - 2311 for z.
39
Solve -218*a - 2313 - 1903 = 141*a - 235*a for a.
-34
Solve 88*i - 3120 - 2480 = 8*i for i.
70
Solve 1924*s = -60245 + 8297 for s.
-27
Solve 390*w + 131*w - 65940 + 41974 = 0 for w.
46
Solve -243*t + 964 - 4211 - 20753 = 257*t for t.
-48
Solve 500*q + 33*q - 47629 = 65*q + 14147 for q.
132
Solve 17897*o - 4771*o = -118277 - 91739 for o.
-16
Solve 15488*o - 12893*o = 57090 for o.
22
Solve 545*v + 72624 + 24921 = -257*v + 1305 for v.
-120
Solve 1882*n - 13280 = -670*n + 21071 + 14137 for n.
19
Solve 126*i = 328*i + 318*i + 30680 for i.
-59
Solve 0 = 284*p - 404*p + 286*p - 1328 for p.
8
Solve -1937 = 31*f - 11*f - 997 for f.
-47
Solve 322*t - 245*t = -144*t - 5304 for t.
-24
Solve -76*q + 1683 = 4720 + 2055 for q.
-67
Solve -161*c - 1560 - 1004 - 3144 = 732 for c.
-40
Solve 20613*c = 21659*c + 60668 for c.
-58
Solve -76*n + 360 + 1473 = 16*n - 1663 for n.
38
Solve 27151 + 24945 = 1184*a for a.
44
Solve -1897*b + 102473 = -11347 for b.
60
Solve 52711*f - 52721*f - 610 = 0 for f.
-61
Solve -286*p - 37380 = 231*p + 17*p for p.
-70
Solve 116*y = -4451 - 1582 + 1277 for y.
-41
Solve -269*z = 113863 - 121395 for z.
28
Solve 524*a + 2008 - 4040 = 13164 for a.
29
Solve -2795*u + 5595*u - 177 = 2797*u for u.
59
Solve 1479*v + 101790 = 643*v - 2028*v - 2791*v for v.
-18
Solve 179*u - 6*u = 37*u + 2584 for u.
19
Solve 686 = 181*u - 86*u + 5151 for u.
-47
Solve -13*l - 912 = -15*l - 115*l + 3*l for l.
8
Solve 431*s + 336*s - 1562 = 3040 for s.
6
Solve 0 = -190*c + 1042*c - 64752 for c.
76
Solve -3096 = -4926*l + 5055*l for l.
-24
Solve 87487 - 3629 = 303*l + 413*l + 11542 for l.
101
Solve -81*x - 21032 = -31*x + 101*x + 88*x for x.
-88
Solve -10608 = 1369612*v - 1369748*v for v.
78
Solve 754 = 27*f + 916 for f.
-6
Solve -889*l + 346*l - 26940 = 1702*l for l.
-12
Solve -68 + 263 = 6*l - 45*l for l.
-5
Solve 2849241*h - 2849469*h = -19152 for h.
84
Solve -2464*n + 751*n + 36975 = 1084*n + 235562 for n.
-71
Solve 20*j + 364*j + 2881 = -6719 for j.
-25
Solve -28839 - 72770 = -2363*d for d.
43
Solve -230919*y + 230775*y = -7056 for y.
49
Solve -2331*u - 22851 = 17924 + 10507 for u.
-22
Solve -787*f - 447*f - 4112 + 24952 = 850*f for f.
10
Solve -947*c - 870*c + 40584 = -64802 for c.
58
Solve -39*t - 162 + 1970 = -491*t for t.
-4
Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
s the z'th term of -2918, -4154, -6218, -9104, -12806, -17318, -22634, -28748?
z**3 - 420*z**2 + 17*z - 2516
What is the g'th term of 34, -141, -658, -1685, -3390, -5941, -9506, -14253?
-28*g**3 - 3*g**2 + 30*g + 35
What is the f'th term of -1167, -4164, -7165, -10170?
-2*f**2 - 2991*f + 1826
What is the j'th term of 616124180, 1232248360, 1848372540?
616124180*j
What is the i'th term of 1267, 2178, 2941, 3556, 4023?
-74*i**2 + 1133*i + 208
What is the a'th term of -3566404, -3566391, -3566378, -3566365, -3566352, -3566339?
13*a - 3566417
What is the i'th term of -2714933, -5429909, -8144887, -10859867, -13574849, -16289833, -19004819?
-i**2 - 2714973*i + 41
What is the d'th term of 1159, 2489, 3999, 5695, 7583, 9669, 11959, 14459?
d**3 + 84*d**2 + 1071*d + 3
What is the z'th term of -5935, -47287, -159481, -377941, -738091?
-5904*z**3 + 3*z**2 - 33*z - 1
What is the i'th term of 9226582, 18453176, 27679770, 36906364, 46132958, 55359552?
9226594*i - 12
What is the a'th term of 1663253, 1663251, 1663249?
-2*a + 1663255
What is the k'th term of 1012749549, 1012749550, 1012749551?
k + 1012749548
What is the a'th term of 24718002, 49436005, 74154008, 98872011?
24718003*a - 1
What is the t'th term of 166085, 166021, 165959, 165899, 165841, 165785, 165731?
t**2 - 67*t + 166151
What is the h'th term of 1575, 5868, 13013, 23004, 35835, 51500, 69993?
-h**3 + 1432*h**2 + 4*h + 140
What is the a'th term of 5081975, 20327901, 45737779, 81311609?
5081976*a**2 - 2*a + 1
What is the h'th term of 17438, 69739, 156892, 278897, 435754?
17426*h**2 + 23*h - 11
What is the l'th term of 1005464, 1005467, 1005470, 1005473, 1005476?
3*l + 1005461
What is the x'th term of -89822, -182659, -275496, -368333?
-92837*x + 3015
What is the x'th term of -3281267, -3281245, -3281223, -3281201, -3281179?
22*x - 3281289
What is the k'th term of -2920, -4199, -7664, -14407, -25520, -42095, -65224, -95999?
-182*k**3 - k**2 - 2*k - 2735
What is the r'th term of 5212, 5140, 4944, 4618, 4156, 3552, 2800, 1894?
-r**3 - 56*r**2 + 103*r + 5166
What is the u'th term of -490, -1327, -2516, -4051, -5926, -8135?
u**3 - 182*u**2 - 298*u - 11
What is the k'th term of 26983, 25756, 24517, 23260, 21979?
-k**3 - 1220*k + 28204
What is the a'th term of -154021, -154006, -153991?
15*a - 154036
What is the r'th term of 509324351, 1018648705, 1527973059, 2037297413, 2546621767?
509324354*r - 3
What is the q'th term of -15228, -14787, -14340, -13887?
3*q**2 + 432*q - 15663
What is the j'th term of -17048, -68196, -153438, -272774, -426204, -613728?
-17047*j**2 - 7*j + 6
What is the a'th term of -29706, -118979, -267768, -476073?
-29758*a**2 + a + 51
What is the w'th term of 30968, 61853, 92738?
30885*w + 83
What is the p'th term of -208168, -208238, -208314, -208396, -208484, -208578?
-3*p**2 - 61*p - 208104
What is the i'th term of -2697, -5542, -8391, -11244?
-2*i**2 - 2839*i + 144
What is the o'th term of -20757737, -20757740, -20757743, -20757746?
-3*o - 20757734
What is the x'th term of 18823, 37708, 56667, 75700?
37*x**2 + 18774*x + 12
What is the v'th term of 64822, 518488, 1749872, 4147834, 8101234, 13998932, 22229788, 33182662?
64810*v**3 - v**2 - v + 14
What is the y'th term of -10832, -21768, -32680, -43562, -54408?
y**3 + 6*y**2 - 10961*y + 122
What is the p'th term of -7822040, -62576333, -211195120, -500610647, -977755160, -1689560905, -2682960128?
-7822041*p**3 - p**2 - 3*p + 5
What is the f'th term of 17222, 17106, 16946, 16736, 16470, 16142, 15746?
-f**3 - 16*f**2 - 61*f + 17300
What is the l'th term of 25297406, 50594807, 75892206, 101189603, 126486998, 151784391?
-l**2 + 25297404*l + 3
What is the d'th term of 189914, 189839, 189730, 189587?
-17*d**2 - 24*d + 189955
What is the i'th term of -2463205, -4926415, -7389625, -9852835?
-2463210*i + 5
What is the z'th term of 28635, 28682, 28719, 28746?
-5*z**2 + 62*z + 28578
What is the l'th term of 180567016, 180567017, 180567018, 180567019?
l + 180567015
What is the c'th term of -7178, -14310, -21440, -28568, -35694, -42818?
c**2 - 7135*c - 44
What is the m'th term of -61546238, -61546240, -61546242?
-2*m - 61546236
What is the o'th term of -6409, -8682, -10955, -13228?
-2273*o - 4136
What is the u'th term of -37744, -75459, -113174, -150889?
-37715*u - 29
What is the h'th term of 3027, 6158, 9359, 12630, 15971?
35*h**2 + 3026*h - 34
What is the g'th term of -554224, -554343, -554462, -554581, -554700?
-119*g - 554105
What is the w'th term of 16529, 18900, 21271, 23642, 26013?
2371*w + 14158
What is the n'th term of 583469689, 583469688, 583469687, 583469686?
-n + 583469690
What is the q'th term of 217, 1744, 6005, 14404, 28345, 49232?
234*q**3 - 37*q**2 + 20
What is the c'th term of 170599, 340470, 510341, 680212?
169871*c + 728
What is the c'th term of -55601, -110411, -165209, -219995, -274769?
6*c**2 - 54828*c - 779
What is the w'th term of 6457329, 6457218, 6457107, 6456996?
-111*w + 6457440
What is the p'th term of -31450, -37919, -44378, -50821, -57242, -63635, -69994?
p**3 - p**2 - 6473*p - 24977
What is the l'th term of 51211, 102397, 153547, 204661, 255739, 306781, 357787?
-18*l**2 + 51240*l - 11
What is the g'th term of -836192, -1672370, -2508556, -3344750, -4180952, -5017162, -5853380?
-4*g**2 - 836166*g - 22
What is the y'th term of -513080, -2052302, -4617666, -8209172, -12826820?
-513071*y**2 - 9*y
What is the d'th term of 418, 1810, 4158, 7462, 11722, 16938, 23110?
478*d**2 - 42*d - 18
What is the r'th term of 253, 183, 55, -143, -423?
-2*r**3 - 17*r**2 - 5*r + 277
What is the c'th term of -4775, -4775, -4761, -4733, -4691, -4635, -4565?
7*c**2 - 21*c - 4761
What is the k'th term of 11895, 10926, 9957, 8988?
-969*k + 12864
What is the l'th term of -535, 1734, 4003?
2269*l - 2804
What is the w'th term of 2308, 3942, 5550, 7120, 8640, 10098, 11482?
-2*w**3 - w**2 + 1651*w + 660
What is the k'th term of 13732, 27467, 41208, 54955?
3*k**2 + 13726*k + 3
What is the h'th term of -34, -421, -794, -1147, -1474?
h**3 + h**2 - 397*h + 361
What is the l'th term of 31859, 63753, 95621, 127457, 159255?
-l**3 - 7*l**2 + 31922*l - 55
What is the z'th term of -51941, -104462, -156981, -209498, -262013, -314526, -367037?
z**2 - 52524*z + 582
What is the x'th term of 174570, 349200, 523830?
174630*x - 60
What is the a'th term of 5730245, 11460490, 17190739, 22920992, 28651249?
2*a**2 + 5730239*a + 4
What is the o'th term of 8887, 8880, 8857, 8812, 8739?
-o**3 - 2*o**2 + 6*o + 8884
What is the i'th term of -14882, -41822, -68762, -95702, -122642?
-26940*i + 12058
What is the a'th term of -55280, -54981, -54492, -53819, -52968?
-a**3 + 101*a**2 + 3*a - 55383
What is the c'th term of 371465, 371436, 371407, 371378, 371349, 371320?
-29*c + 371494
What is the f'th term of -1147327, -2294449, -3441559, -4588651, -5735719, -6882757?
f**3 - 1147129*f - 199
What is the w'th term of 3230, 14531, 33360, 59717, 93602?
3764*w**2 + 9*w - 543
What is the z'th term of -14492021, -28984042, -43476065, -57968090?
-z**2 - 14492018*z - 2
What is the b'th term of 117496, 235026, 352558, 470092?
b**2 + 117527*b - 32
What is the j'th term of 348165, 696346, 1044529, 1392714, 1740901?
j**2 + 348178*j - 14
What is the g'th term of 2785, 5701, 8635, 11587, 14557?
9*g**2 + 2889*g - 113
What is the l'th term of 11799, 7012, 2225?
-4787*l + 16586
What is the d'th term of 721043, 1442175, 2163307, 2884439, 3605571, 4326703?
721132*d - 89
What is the i'th term of -5650422, -5650433, -5650446, -5650461?
-i**2 - 8*i - 5650413
What is the k'th term of 149, -3745, -15729, -39847, -80143, -140661, -225445?
-674*k**3 - k**2 + 827*k - 3
What is the z'th term of -262980, -525947, -788914, -1051881?
-262967*z - 13
What is the m'th term of 1872758, 1872756, 1872754, 1872752, 1872750?
-2*m + 1872760
What is the n'th term of 34527, 68914, 103167, 137286?
-67*n**2 + 34588*n + 6
What is the f'th term of -6417451, -6417474, -6417497?
-23*f - 6417428
What is the r'th term of 278682, 556625, 834568, 1112511, 1390454, 1668397?
277943*r + 739
What is the x'th term of -5694, -11973, -18252, -24531, -30810?
-6279*x + 585
What is the s'th term of -38310, -37158, -36006?
1152*s - 39462
What is the f'th term of 226166, 904799, 2035868, 3619373, 5655314, 8143691?
226218*f**2 - 21*f - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
Collect the terms in -3444*p - 398*p**2 + 6894*p - 5 + 5 - 3450*p.
-398*p**2
Collect the terms in 865 + 334 - 15499*a - 60 + 15501*a.
2*a + 1139
Collect the terms in -3390*h - 3904*h - 3 + 3 + 6714*h.
-580*h
Collect the terms in 2129*l - 21*l**2 + 2135*l - 4264*l + 1203*l**3.
1203*l**3 - 21*l**2
Collect the terms in -4*m + 3474 + 4*m + 3468 - 10738 + 3796 - 62*m**2.
-62*m**2
Collect the terms in -971*k + 695*k - 8 + 8 + 272*k.
-4*k
Collect the terms in -28*g + 13*g - g + 6*g + 15*g + 5*g.
10*g
Collect the terms in 3514*x**2 - 25 - 10558*x**2 + 3519*x**2 - 17 + 3522*x**2.
-3*x**2 - 42
Collect the terms in -141524*i**2 + 71903*i**2 + 69619*i**2.
-2*i**2
Collect the terms in 23*r - 281*r - 172 - 3402*r.
-3660*r - 172
Collect the terms in -3*n**3 - 15*n**3 + 3*n**3 - 21*n**3 - 21*n**3 - 2*n**3.
-59*n**3
Collect the terms in -18 + 33*u - 5*u + 3*u.
31*u - 18
Collect the terms in -4 + 21 - 20 - 2*s**2 - 49*s**3.
-49*s**3 - 2*s**2 - 3
Collect the terms in 99511*f - 298911*f + 99884*f + 99546*f.
30*f
Collect the terms in -184 + 363 - 244*l - 164.
-244*l + 15
Collect the terms in -278*b**2 - 280*b**2 - 293*b**2 - 326*b**2 + 1097*b**2.
-80*b**2
Collect the terms in 4*p + 3*p + 2787 - 5*p + 2894 - 3*p.
-p + 5681
Collect the terms in -1 - 376574954141*b**2 - 1 + 376574954148*b**2 + 8.
7*b**2 + 6
Collect the terms in -8*p + 39365 - 78701 - 2*p**2 + 37897.
-2*p**2 - 8*p - 1439
Collect the terms in -5*g - 8*g - 4*g - 24*g + 5*g - 10*g - 5.
-46*g - 5
Collect the terms in -29889*o + 3 - 1 - 10 + 29892*o - 6.
3*o - 14
Collect the terms in -66*n**3 + 1246*n**3 - 338*n**3 - 4*n + 1835*n**3 + 3.
2677*n**3 - 4*n + 3
Collect the terms in 133671 + 5*w - 5*w + 30*w**3 - 133673.
30*w**3 - 2
Collect the terms in -27*l + 1855*l**2 + 448*l**2 + 952*l**2 + 4*l + 4*l.
3255*l**2 - 19*l
Collect the terms in n - 790951143 + 790951143.
n
Collect the terms in 23*s - 23*s - 166507*s**3 + 39730*s**3.
-126777*s**3
Collect the terms in -423*j**3 + 2 + j - 2*j + 5*j.
-423*j**3 + 4*j + 2
Collect the terms in 24606*n**2 - n**3 + n + 447588 - 24606*n**2.
-n**3 + n + 447588
Collect the terms in 29*f**2 - 321*f - 318*f + 639*f + 0*f**2.
29*f**2
Collect the terms in -207*v + 16727 - 33446 + 16719.
-207*v
Collect the terms in -25431749*v**3 - 25431455*v**3 + 76294952*v**3 - 25431746*v**3.
2*v**3
Collect the terms in -538*a**3 + 86260666 - 86260666.
-538*a**3
Collect the terms in -771*y**2 + 1568*y**2 - 767*y**2.
30*y**2
Collect the terms in 461*l - 243*l - 2*l**2 - 4150 - 218*l.
-2*l**2 - 4150
Collect the terms in 18450*r + 15559*r + 7396*r + 18097*r + 5395*r.
64897*r
Collect the terms in 1313374*k**2 + 1313379*k**2 + 1313371*k**2 + 1313371*k**2 - 7880243*k**2 + 1313377*k**2 + 1313378*k**2.
7*k**2
Collect the terms in 88*i - 89*i + 12*i + 107*i + 129*i + 1 + 0.
247*i + 1
Collect the terms in -30568 + 30568 + 5497*j**3.
5497*j**3
Collect the terms in -2*q - 2*q - 2*q**2 + 12711*q**3 - 13732*q**3 + 0*q**2.
-1021*q**3 - 2*q**2 - 4*q
Collect the terms in 212 + 366192*t - 212 + 366193*t - 732329*t.
56*t
Collect the terms in 72*k + 43*k + 33*k + 61*k.
209*k
Collect the terms in 14400*f - 43185*f + 139 + 14395*f + 14393*f.
3*f + 139
Collect the terms in 3711*t + 6567*t + 4718*t - 5051*t.
9945*t
Collect the terms in -227*z**2 - 758*z + 758*z - 20 + 9 + 7.
-227*z**2 - 4
Collect the terms in -10 - 477*g**2 - 37*g - 22 + 480*g**2 + 5*g**3 - 3.
5*g**3 + 3*g**2 - 37*g - 35
Collect the terms in -162773*a**3 + 19637*a - 19637*a.
-162773*a**3
Collect the terms in -104 + 27 - 4201*s**2 + 77 + 12406*s**2.
8205*s**2
Collect the terms in 1 + 220*v**2 + 2*v + 217*v**2 - 645*v**2 - 86*v**3 + 208*v**2.
-86*v**3 + 2*v + 1
Collect the terms in 8105*j**2 - 2047*j**2 - 2028*j**2 - 2036*j**2 - 2026*j**2.
-32*j**2
Collect the terms in -948*g**2 + 1 + 473*g**2 + 473*g**2 + 16609*g.
-2*g**2 + 16609*g + 1
Collect the terms in 1091*c**3 + 1172*c**3 - 5787*c**3.
-3524*c**3
Collect the terms in -643 + 33*g - 33*g - 639 - 27*g**3 + 1282 + 7*g**3.
-20*g**3
Collect the terms in 144*l - 190*l - 3 + 2943*l**2 + 45*l.
2943*l**2 - l - 3
Collect the terms in 1662 + 1648 + 1658 - 84*o - 6615 + 1647.
-84*o
Collect the terms in -62*a**3 + 441*a**3 - 471*a**3 - 6*a**3.
-98*a**3
Collect the terms in 15572173*k**3 - 15571966*k**3 - 2*k + 2*k.
207*k**3
Collect the terms in -769 - 17*f**2 + 752 + 16*f**2.
-f**2 - 17
Collect the terms in -2417*p + 751*p - 1338*p - 570*p.
-3574*p
Collect the terms in -659*u**2 - 2*u + 4*u - 527*u**2 + 1009*u**2.
-177*u**2 + 2*u
Collect the terms in -9907*q + 24345*q - 14453*q + q**3.
q**3 - 15*q
Collect the terms in -38*l - 77*l - 101*l + 13*l.
-203*l
Collect the terms in 2104*y**2 - 3664*y**2 - 1165*y**2 - 2438*y**2.
-5163*y**2
Collect the terms in -7655*w + 4292*w + 2 - 14225*w - 15568*w.
-33156*w + 2
Collect the terms in 2 - 2*u + 381*u**2 + 112*u**2 - 79*u**2 + 1700*u**2.
2114*u**2 - 2*u + 2
Collect the terms in -92288*w**3 - 8950*w + 8950*w.
-92288*w**3
Collect the terms in 4486*d + 1272*d + 3039*d + 3168*d - 2023*d.
9942*d
Collect the terms in 554552*b - 1107483*b + 553600*b.
669*b
Collect the terms in 121*l**2 + 66072490425*l - 66072490425*l.
121*l**2
Collect the terms in s + 1 - 14528*s**3 + 9 - 12.
-14528*s**3 + s - 2
Collect the terms in -51*g - 808*g + 597*g - 2305*g - 1073*g.
-3640*g
Collect the terms in -24*m + 155*m**3 + 24*m - 127*m**3 + 247*m**3.
275*m**3
Collect the terms in -19*p**3 - 16*p**3 - 13*p**3 - 9266 + 46*p**3.
-2*p**3 - 9266
Collect the terms in 5 - 185*y**2 + 25*y**2 + 53*y**2 + 51*y**2 + 54*y**2 - 5.
-2*y**2
Collect the terms in 7*t**2 + 11*t**2 - 2*t**3 - 124*t**2 + 446*t**2 - 340*t**2.
-2*t**3
Collect the terms in 51*a**2 + 6*a**3 + 62*a**2 + 17*a + 64*a**2.
6*a**3 + 177*a**2 + 17*a
Collect the terms in 36363*y - 36363*y - 37008*y**2 + 74020*y**2 - 12*y**3 - 37012*y**2.
-12*y**3
Collect the terms in -10900629122 + 10900629122 - 39*q + 9*q.
-30*q
Collect the terms in -244*n**3 - 99*n**3 + 496*n**3 + 1286*n**3.
1439*n**3
Collect the terms in 1581*l**2 - 2382*l**2 - 1615*l**2 - 3110*l**2 - 3508*l**2.
-9034*l**2
Collect the terms in -44*r + 2107551 - 2107551.
-44*r
Collect the terms in 7393*x - 3819*x + 23933*x.
27507*x
Collect the terms in 1838*a**3 + 1677*a**3 - 3785*a**3.
-270*a**3
Collect the terms in 8380*b**3 + 7958*b**3 - 16685*b**3.
-347*b**3
Collect the terms in 140184 - 70142 + l - 70042.
l
Collect the terms in -835*w + 7*w**3 + 2013*w - 8*w**3 - 502*w.
-w**3 + 676*w
Collect the terms in -42*p**3 - 4*p**3 - 147*p + 44*p**3.
-2*p**3 - 147*p
Collect the terms in 416 + 181*o + 388 - 179*o + 385 - 1189.
2*o
Collect the terms in 246*b + 2023*b + 2836*b + 373*b.
5478*b
Collect the terms in -w + 6487 - w + 6495 + 6460 - 19442.
-2*w
Collect the terms in 13090*z + 2 - 3983*z + 2935*z.
12042*z + 2
Collect the terms in 286448*o - 573650*o + 286826*o.
-376*o
Collect the terms in -13553*u - 53*u**2 + 2 + 27119*u - 13551*u.
-53*u**2 + 15*u + 2
Collect the terms in 248 + 392 - 53 - 7*h + 2*h - 55.
-5*h + 532
Collect the terms in -36*f - 149*f + 9 + 223*f - 39*f.
-f + 9
Collect the terms in 135254*v**3 - 270530*v**3 + 134971*v**3.
-305*v**3
Collect the terms in 32*u + 68 + 93 - 67 + 139 - 39*u.
-7*u + 233
Collect the terms in -2525*w**3 - 2 + 6 - 17576*w**3 - 4.
-20101*w**3
Collect the terms in -9*x**3 - 5057*x**2 - 5054*x**2 + 15148*x**2 - 5046*x**2.
-9*x**3 - 9*x**2
Collect the terms in 216*s + 1778*s - 2183*s.
-189*s
Collect the terms in 3220355*r**2 - 1073460*r**2 - 1073431*r**2 - 1073463*r**2.
r**2
Collect the terms in -37*a - 2*a**2 + 88636042 - 88636042.
-2*a**2 - 37*a
Collect the terms in 8 + 100269*x**2 + 85987*x**2 - 4 - 4.
186256*x**2
Collect the terms in 3954*g**3 - 63935*g**3 + 3071*g**2 - 6143*g**2 + 3071*g**2 + 145*g**3.
-59836*g**3 - g**2
Collect the terms in 3 - 4*f**2 - 2*f**2 + 19 + 4350*f + 4*f**2.
-2*f**2 + 4350*f + 22
Collect the terms in -153*z**2 + 151*z**2 + 558*z - 463*z + 1409*z + 2886*z.
-2*z**2 + 4390*z
Collect the terms in 5*m + 9*m - 26*m + 6*m - 383875 + 5*m.
-m - 383875
Collect the terms in 3199232 + 3199245 - 8*v - 6398477.
-8*v
Collect the terms in -17855*j + 5995*j + 5980*j + 5878*j.
-2*j
Collect the terms in 1759*a**3 + 65*a**3 - 656*a**3.
1168*a**3
Collect the terms in -730274*n**3 + 365089*n**3 + 365177*n**3.
-8*n**3
Collect the terms in 73315*
|
{
"pile_set_name": "DM Mathematics"
}
|
*24/(-5). Suppose x = 14*q + 6*q. Solve -7 = 2*w - 6*m + m, -q*w - 2*m = -22 for w.
4
Suppose 8*t - 70 - 90 = 0. Let j be ((-4)/5)/((-4)/10). Solve 4*a = -j*q + t, a - 8 = q - 3*a for q.
4
Let u(l) = 96*l - 3835. Let i be u(40). Let k = -1 - -4. Solve -c + 1 = 0, k*p + i*c - 2 = -0*p for p.
-1
Suppose -70*v + 192 = -22*v. Solve 3*y + 3 = v*h, 0 = -h + 2*h + 4*y + 4 for h.
0
Let x = -322 - -322. Solve 0 = -r + 5*w + 2 - 14, x = 4*r - 4*w for r.
3
Suppose -3*o + 13 = -3*v - v, -5*v + 4*o = 15. Let y be ((-36)/14)/(v/49). Let b be (-840)/(-108) - (-4)/y. Solve -2 = n + 5*i, 2*n + 2*n + 5*i + b = 0 for n.
-2
Let x = 473 + -473. Solve 5*f + 2*c - 7 = 6*f, -3*c + 15 = x for f.
3
Let w(c) = -c**2 + 8*c + 13. Let h(s) = 2*s**2 - 5*s + 2. Let k be h(3). Let n be w(k). Solve m = 4*f + 14 + 2, 4*f + n = 4*m for f.
-3
Let o(m) = -m**2 - 8*m - 1. Let f(a) = 2*a**2 + 24*a + 2. Let v(u) = -3*f(u) - 8*o(u). Let b be v(4). Solve 5*q - b*c = -13, 7 = -q + 2*q + 2*c for q.
-1
Let h = -694 - -698. Solve 0 = 4*s + 4*u - 28, h*s + s - u = 11 for s.
3
Let t be 4 + 1 + -2 + (-1 - -2). Let u be (-2)/6 - 12/(-9). Suppose 3*d + u = t*d. Solve 9 = -3*z, -p + 0*z = -z - d for p.
-2
Let h(y) = 3*y - 2. Let b be h(2). Suppose -m - 2*m = -2*f + 2, 0 = -2*m + 2*f - b. Solve -5*l + 2 = -2*t, 2*l + 0*l - m*t - 2 = 0 for l.
0
Suppose -2*m = -8*m. Suppose m = 57*b - 53*b - 8. Let t be (-2)/6 - (-26)/6. Solve 1 = 2*i + q - 4*q, -b*q = -t*i - 10 for i.
-4
Let u(s) = 2*s**2 - 55*s - 23. Let o be u(28). Solve -4*d + 8 = -b + 5*b, o*b - d + 2 = 0 for b.
0
Suppose -9*y - 99 = -12*y. Let j = -31 + y. Solve -2*k - 13 = u + j*k, 3*u + 12 = -3*k for u.
-1
Let o = -27 - -144. Let s = o + -57. Solve 5*z + 33 = 2*m, 5*m - s + 25 = 3*z for m.
4
Let h be (-2 + 3)/(1/10). Suppose 15 = h*r - 5*r. Solve -3*n + 5*g = -8*n, 4*n + r*g + 5 = 0 for n.
-5
Let c = -30 + 2. Let x = c + 30. Solve 3*s = 3*q + 15, x - 1 = -q - 3*s for q.
-4
Let d = 103 - 43. Suppose -2*i - 32 = -2*z, -6*z + d = -4*z + 5*i. Solve -10 = 3*f - 5*q, z = 2*f + 5*q - 15 for f.
5
Let u = 264 - 261. Solve 4*d - 5*r = -r + 20, r = -u*d + 15 for d.
5
Let t = 73 + -68. Solve d = -2*n - 12, 6*n - 3*n = -t*d - 32 for n.
-4
Suppose 3*v = 4*o + 29, -5*v + 3*o = -2*v - 24. Solve -v*w - 7 = 4*q, 2*w - 5*w = 3*q + 6 for q.
-1
Let z = -19 + 22. Solve -3*q = 4*a - 5, 7 = z*a + 3*q + 1 for a.
-1
Let d = -2 - -5. Suppose -5*i = -2*q + 42 + 4, 0 = 4*i + d*q + 23. Let k be ((-2)/(-4))/((-2)/i). Solve 4*c - 8 = z + 8, -5*c = -k*z - 23 for c.
3
Suppose -7 + 55 = 3*j. Suppose -4*b + 0*b = -3*m + 12, j = 3*b + 4*m. Suppose 6 = 4*z + 2*l - 4, 4*l - 4 = b. Solve -5*a = -q + 10, -4 = z*q - q + 2*a for q.
0
Let x be 3 + 10 + -5 - (5 - -1). Solve f - 5 = -a + x*a, 4*f - a = 5 for f.
0
Let a(v) = v + 14. Let y be a(-10). Suppose -124 = -4*b - y*n + 2*n, b - 20 = 5*n. Let h be (-6)/b - (-22)/10. Solve -20 = 2*u + 3*q - q, -15 = u + h*q for u.
-5
Let l(j) = 7*j**2. Suppose -x - 1 = -2. Let y be l(x). Let q(d) = 3*d + 4. Let r be q(6). Solve -r = -z + 2*n - y*n, 3*z - 3*n + 24 = 0 for z.
-3
Suppose 12*h + 2 = 11*h - 3*u, -2*h = 2*u - 16. Solve -h = 5*v + g, v + 8 = 3*v - 4*g for v.
-2
Let n = -311 + 314. Solve 4*h + 16 = -s, 0 = -h - 0*s + n*s + 9 for h.
-3
Suppose -16*v + 11*v = 715. Let c be 2/3 - v/33. Solve -2*n = -c*m - 0*m + 15, -9 = 3*n - 3*m for n.
0
Let g = 2219 - 2215. Solve g*t + r - 13 = -0*t, 3*t = -r + 10 for t.
3
Suppose 12*f + 73 = 181. Solve -4*n + 43 = 4*d + 15, 0 = -3*d + f for n.
4
Suppose 0 = -5*b - h - 3*h - 12, -h - 3 = -4*b. Let c = 220 - 224. Let s be 6 + (c - (b + -1)). Solve s = v, 3*v = 2*j + v - 4 for j.
5
Let z be 12 + 12/((-3)/1) + -8. Solve z = -3*v - 14*o + 10*o, -4*v - 3*o - 7 = 0 for v.
-4
Let a = 24 + -20. Suppose -4*y + 21 = -m, -a*m - 7*y = -2*y. Let v = m + 5. Solve j = -3*g + 13, v*j + 5*g = j + 11 for j.
4
Suppose -4*l = -4*m, -4*l + 5 = -14*m + 11*m. Solve 0 = -5*y + z - m, -2*y + z - 2 = 3 for y.
0
Let w be -1 - (-4)/(-4)*-4. Solve 0 = 4*a + 3*y + 2*y - 16, w*a - 2*y = -11 for a.
-1
Let k = -22 - -31. Solve -3*u - 2*d = -k, -u + 4*d = 3 - 20 for u.
5
Let k = -500 - -502. Solve -c + k = 4, c = -5*w + 8 for w.
2
Let x be (-8)/1*8/(128/(-6)). Let c be 42/8 - 7/28. Solve 7*o + 3*z = 4*o, x*o = -c*z - 8 for o.
4
Suppose -9 = 7*s - 6*s + 3*k, -s - 5 = 2*k. Solve 0 = 2*w - 3*q + 12, 0*q + 12 = -5*w + s*q for w.
0
Let b be (-1)/(4/6) - (-33)/(-2). Let a be ((-7)/3)/(-1) - b/27. Solve -v = -3*y + 5, -v + 4*y = a*v + 20 for v.
-5
Suppose -z + 144 = 142. Solve 8 + 6 = 5*v + z*d, -d = -v for v.
2
Let g = 102 - 98. Solve -5*a + 25 = -4*a + 5*p, g*a - 32 = -3*p for a.
5
Suppose 3 = -7*v + 10*v. Suppose -5 + v = -4*s. Solve -5*r + 3*q + 0 = s, 2*q = -6 for r.
-2
Suppose 94 = 5*d - 6. Solve -2*a + 3*l = 2*a - 12, 5*a + 5*l = -d for a.
0
Let w(u) = u**3 - 5*u**2 + u - 1. Let z be w(5). Suppose 0 = -i - 2*m + 6, 2*i - z = -3*m + 6. Solve 5*f - i*h = -16, 3 = -4*f + h - 8 for f.
-2
Let v be ((-60)/50)/(3/(-10)). Suppose -v*k = -33 + 17. Solve -k*p = -3*p + 4*c + 6, 0 = p + 3*c + 4 for p.
2
Let v be 4/(-6)*((-38)/4 + 5). Let j = 15 - 13. Solve 3*l - j*g = l + 10, 0 = 5*l - v*g - 21 for l.
3
Let z(d) = d**3 + 2*d**2 + 3*d + 23. Let c be z(-3). Solve -3*f - 1 = -4*f - 2*u, -2*u + 19 = -c*f for f.
-3
Let r = 39 - 24. Let q be 5*6/r + 3/(-3). Solve o - 8 = 4*l - q, -l - 5*o - 28 = 0 for l.
-3
Let g be ((-2)/(-10) - 105/(-225))*3. Let n = 5 - 3. Suppose -4*o - 7 = -3*k - 0*k, 3*k = -5*o - n. Solve b + 3 - k = 0, 8 = -2*v - g*b for v.
-2
Suppose -28 = -10*r + 22. Solve -z = j - 4*j + 8, r*z - 14 = -3*j for j.
3
Suppose -152*a - 15 = -157*a. Solve -23 = a*w - 4*p, -27*p + 4 = -25*p for w.
-5
Suppose -4*n + 0*v - 88 = 5*v, -n = v + 21. Let w = 17 + n. Solve 5*b + w*b - 1 = -3*l, b = -2*l + 3 for b.
-1
Let h = -111 + 119. Let o = 28 - h. Solve 0 = 3*f - 3*m, -3*f - m - o = -0 for f.
-5
Let a = -943 - -945. Solve 2*i = -3*z + 7, i - a = -0*i for z.
1
Let i(k) = k**2 - 3*k + 6. Let p be i(5). Suppose 23*h + p = 27*h. Solve -h*m - 19 = v - 9*m, 3*m = -4*v - 7 for v.
-4
Suppose -4*c = 2*k - 40, 18 = -3*c - k + 49. Let d = 16 - c. Solve 3*j = -d*u + 9, j - 3 = -2*u - 0 for u.
0
Let h(l) = l**3 - 16*l**2 - 17*l + 2. Suppose 3*z - 30 = 21. Let w be h(z). Solve -w*r - 4 = 2*o, 5*o + 0*r - r - 20 = 0 for o.
3
Let g be ((-1)/(-2))/(5*10/500). Solve -5*c = 3*m - 15, -g*m + 20 = -m + c for m.
5
Suppose -o = 2 - 5. Suppose 0 = 5*g - o*z - 97, 2*g - 3*z - 37 = -0*g. Solve 0 = 2*d + 4*i + g + 2, -i - 6 = d for d.
-1
Suppose -56 = -5*a + 4*k, -3*k = 3*a + 2*k - 4. Let r = -9 - -9. Suppose a = 4*v - r. Solve 4*y = -j - 4*j - 15, 0 = -y + v*j - 7 for y.
-5
Let p(n) = 6*n**2 + n. Let i be p(1). Let k be (-130)/(-40) - -2*2/(-16). Let x = k + 1. Solve 0 = -x*y - 2*u + 6, i*u = -3*y + 2*u + 1 for y.
2
Let k = -346 + 353. Solve z - 11 = x - 3*x, z + x - k = 0 for z.
3
Suppose 2*k - 5*j + 29 = 0, 2*k - 3*j + 4 + 27 = 0. Let n = k + 23. Let d = 9 - n. Solve -p - 3*l - 7 - d = 0, -4*p + 40 = -4*l for p.
5
Suppose 28 = 3*j - 4*r - 0*r, 0 = 5*r + 20. Solve 0 = -4*g - j, -15 = 3*a + a + 3*g for a.
-3
Suppose 3*k + 21 = b - 0*b, 3*k = -2*b - 12. Suppose 2*r + 12 = 2*x, 3*r = x + 7*r - 26. Let t = x + k. Solve -y - 2 = o, 0 = 3*y - y + t*o + 14 for y.
3
Suppose 20*s = 226 - 186. Solve -3*y - 4*w = -2, -3*y + s*w = -5*y for y.
-2
Let w be (8/6)/((-16)/(-24)). Let v(x) = -w + 0 - 8*x + 2*x**2 + 6*x + 4*x. Let u be v(-2). Solve 2*b + 2*n = -u + 6, -5*n = -10 for b.
0
Let a = -3 - -12. Suppose -a*m = -98 - 145. Solve 0 = -2*s - 2*l - 12, -1 = 3*s + 5*l + m for s.
-1
Let i = -1805 + 1809. Solve -2*f + 3 = -i*r + 31, 5*r = 4*f + 41 for r.
5
Let b = -344 + 349. Solve -2*c + 2*r = 0, -b*c - 3*r + 19 = -5 for c.
3
Let z(a) = -a**3 - 3*a**2 + 2. Let r be z(-3). Suppose 5*b = 3*q + 10, r*q + b - 20 = -q. Solve 4*i - q*j = -6 - 29, 0 = -3*j + 9 for i.
-5
Let a be 1/(-5) + (-42)/(-10). Suppose -50 = a*z - 166. Suppose z = 4*n + 5*f, -5*n + 4*f = -f + 20. Solve -p - 4*x + 11 = -n, 4*p - x - 14 = 0 for p.
4
Let s = 4898 + -4883. Suppose 2*y + 14 = 4*i - 0*y, -y = -1. Solve i*u + 18 = 2*a, -5*u - 4*a = a - s for u.
-2
Let a(i) = 2*i**2 + 3*i + 1. Let o(w) = w + 7. Let k be o(-9). Let c be a(k). Let h = 2 + c. Solve -33 = -3*x + h*q - 13, -18 = -3*x + 3*q for x.
5
Let h(s) = -3*s - 4. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
3 + 8*k**3 - 7*k - 6 + 0. Calculate b(-4).
7
Let i(c) = c**2 - c - 1. Let w be i(3). Let s(u) = u - 7. Let p be s(w). Let h(k) = k**3 - 2*k. Determine h(p).
-4
Suppose 4*m - 4*f = -m + 7, 4*f = -5*m + 23. Let a(s) = -s**3 + 3*s**2 + 1. Determine a(m).
1
Suppose 0 = -2*p + 19 - 23. Let b(i) = 4*i**2 - 1. What is b(p)?
15
Let k(u) = 1. Let z(j) = -16*j**3 - 2*j**2 + 7. Let s(m) = -6*k(m) + z(m). Calculate s(1).
-17
Let a(j) = -2*j**2. Let s(v) be the third derivative of 7/6*v**3 - 2*v**2 + 0*v + 0 - 1/6*v**4 - 1/60*v**5. Let h be s(-5). Calculate a(h).
-8
Suppose 0 = 5*i + 14 - 4. Let n(w) = -w**3 - w**2 + w. Let a(r) = 8*r**3 - 3*r**2 + 4*r - 1. Let c(f) = i*n(f) + a(f). Suppose 2*g = 4 - 2. Determine c(g).
10
Let y(p) = -p + 7. Let w be (-1 - 4)/(2/10). Let u be (w/(-15))/(4/12). What is y(u)?
2
Let n(b) = b**2 + 10*b - 1. Let z(g) = g**2 + 5*g. Let p(d) = -3*n(d) + 5*z(d). Give p(4).
15
Suppose 2*i + 0*i - 6 = 0. Let h(u) = -u + i - 5 + 5. Let o(a) = -a**3 + 2*a**2 - a - 2. Let r be o(2). Determine h(r).
7
Let b(x) = 5*x**2 - 3 - 35*x - x**3 + 0*x**3 + 16*x + 18*x. Let h = 5 - 0. Calculate b(h).
-8
Let l(u) be the third derivative of u**5/60 - u**4/24 - u**3/3 + u**2. Let q = 64 - 62. Calculate l(q).
0
Suppose 2*u + 2*t = -14, -3*u + 3*t - 15 + 0 = 0. Let z(m) = -4 + 0 - m + 0. Determine z(u).
2
Let b(j) = -j + 7. Let u(g) = -15*g + 16. Let x(n) = 7*n - 8. Let o(k) = -6*u(k) - 13*x(k). Let l(t) = -4*b(t) + 3*o(t). What is l(0)?
-4
Let i(q) = q - 7. Suppose -5*a - 45 = 5*g, 0 = 4*g + 2*a + 27 - 1. Let u(k) = -k + 6. Let n(z) = g*i(z) - 5*u(z). Let b be (-2)/(-4)*(5 - -1). Give n(b).
1
Let r(i) = i - 8. Let p be r(7). Let b = p - -3. Let w(u) = 2 - b*u - 2*u + 1. Determine w(2).
-5
Let g(c) = 2*c**2 - 5*c - 3. Let r be ((-2)/(-2))/((-1)/(-4)). Give g(r).
9
Let v = -17 + 8. Let o = 13 + v. Let b(g) = -g**2 + 5*g - 1. What is b(o)?
3
Let p(s) = -s**3 + s**2 + s. Let n(b) = 3*b**3 - 8*b**2 - b - 1. Let l(f) = -n(f) - 4*p(f). What is l(-3)?
19
Let d be (10/4 - 0)*44/55. Let l(q) = q**2 - 3*q + 3. Determine l(d).
1
Let j(h) = -2*h**2 + 5*h + 4. Suppose 5*b - 2*p - 3 = 21, -5*b + p = -22. Give j(b).
-8
Let w(i) be the second derivative of -i**3/6 - i**2/2 + 2*i. Give w(-7).
6
Let h be (-6)/(-5)*15/6. Suppose -h*g = -g + 8. Let j(y) be the first derivative of -y**2 - 2*y + 3. Give j(g).
6
Let j(c) be the third derivative of 1/8*c**4 - 5*c**2 + 0 - 1/6*c**3 + 0*c. Determine j(-3).
-10
Suppose 34 = 4*s + 5*c, -3*s + 3*c + 26 = 7*c. Let g(f) = f**3 - 7*f**2 + 4*f + 3. Determine g(s).
-9
Let t(h) = h**3 + 5*h**2 - 2*h - 5. Suppose 0*o = -4*u - 3*o - 35, 5*u - o = -20. What is t(u)?
5
Let l(p) = 2*p + 6. Let r = -8 - -8. Suppose -22*i + 25*i + 18 = r. Calculate l(i).
-6
Let v(j) = 2*j**2 - 3*j - 3. Suppose 2*n = -3*n + 4*r - 2, n + 5*r = 17. Suppose 6 = -k - n*k. Calculate v(k).
11
Let r(x) = -3*x + 5*x**2 + 6*x**3 - 5*x**3 + 3 + 0*x**3. What is r(-6)?
-15
Let g(h) be the second derivative of 1/20*h**5 - 2*h**2 - h + 0 + 0*h**3 - 5/12*h**4. Let y = -3 - -8. Calculate g(y).
-4
Let b(i) be the first derivative of i**2 + 8*i + 4. Calculate b(-6).
-4
Let h(q) = q - 5. Let f(c) = -c + 6. Let x(v) = 6*f(v) + 5*h(v). What is x(8)?
3
Let q(d) = -16*d**2 + 6*d**2 + 2*d**2 + 3*d**2 + 5*d - d**3. What is q(-6)?
6
Let r(t) be the third derivative of 0*t + 1/12*t**5 + 0 + 1/3*t**3 - 1/120*t**6 + 1/3*t**4 - 9*t**2. What is r(6)?
14
Let h = 0 - 4. Let c(q) be the first derivative of q**2 - 2*q - 4. Give c(h).
-10
Let m(i) = i**3 - 3*i**3 - 7*i**3. Suppose 5 = -2*b + t, 0 = 3*b + 2*t - 1 - 2. Calculate m(b).
9
Let y(c) = c**2 + 0*c + 2*c + 6 + 6*c - 2*c. Give y(-6).
6
Let k(g) = -2*g**2 + g - 5. Let b(a) = 5*a**2 - 2*a + 15. Let n(f) = -3*b(f) - 8*k(f). Suppose 0 = 2*c + 3*c - 10. Suppose -c = -5*x + 18. Calculate n(x).
3
Let r = 1 + -6. Let k(x) = 2 - x**3 + 3*x**3 - x**3 + 7*x**2 - 3*x**2 - 4*x. Calculate k(r).
-3
Suppose -5*q + 2 = -o - 15, 3*q + 2*o = 5. Suppose 3*h + 3*k - 9 = 0, 0 = -3*h + k - 0*k + 1. Let d(m) = -1 - h + 2*m + 0*m - 1. Determine d(q).
3
Let r(k) = 5*k**3 - 6*k**2 + 4*k - 8. Let v(w) = 9*w**3 - 12*w**2 + 7*w - 16. Let u(f) = -11*r(f) + 6*v(f). Determine u(-6).
4
Let i = -93 - -87. Let k(y) = y + 8. What is k(i)?
2
Suppose -4 = 6*h - 28. Let a(p) be the first derivative of -h*p + 3 - 1/2*p**2. What is a(0)?
-4
Let l = 13 - 12. Let r(d) = 5*d**2 - 3 + l + 1 - 14*d**2. Determine r(-1).
-10
Let c(b) = 2*b - 7. Let f be c(7). Let i(o) = -f + o**2 - o - o - 2*o + 5*o. Determine i(0).
-7
Let z be 2/(-2 - (-3)/2). Let k = -3 - -5. Let h(q) = 4*q - 4*q**2 - k*q + 0 + 0*q + 3 - q**3. Determine h(z).
-5
Let n(b) be the first derivative of -b**4/4 + 4*b**3/3 - b**2/2 + 2*b - 10. Give n(2).
8
Let w(j) = j**2 + j + 1. Suppose 7*p - 3*p - 28 = 0. Let c(d) be the first derivative of d**2/2 - 8*d + 45. Let t be c(p). Calculate w(t).
1
Let g be (11 + (2 - 1))/(-1). Let s be (-3)/g - (-1)/(-4). Suppose 3*o + 9 = -s*o. Let i(z) = -z**3 - 5*z**2 - 2*z + 3. Calculate i(o).
-9
Let j(q) = 22*q**2 - 1 - 2*q - 12*q**2 - 13*q**2. Determine j(-1).
-2
Let t(i) = -4*i**2 - i - 1. Let q be t(-1). Let g(c) = c**2 + 6*c + 3. Calculate g(q).
-5
Suppose 0 = -3*h - 2 - 4. Let p(y) be the first derivative of y - 4*y - 2 - 3*y**2 + 4. Determine p(h).
9
Suppose -5 = -2*r - 1. Let c(s) = s - 2*s**2 + 4 + 2*s**r + s**2 + 3*s. Give c(-4).
4
Let c be 5 + -9 - (0 - 6). Let k(g) = 0 + 3 - c*g - 1. Give k(2).
-2
Let o(w) be the first derivative of -w**2 - 2 + 5 + 0. Calculate o(-2).
4
Suppose -4*a + 4 = -2*b, -5*b + 2*a - 5*a = -16. Let z(c) be the third derivative of c**6/120 - c**5/60 + c**4/12 + c**3/6 - c**2. Determine z(b).
9
Let g(w) = 3*w - 1. Suppose 8*n + 10 = 13*n. Calculate g(n).
5
Suppose r - 2*r + 4 = 0. Suppose -j + r*o = -o - 30, 6 = -3*o. Suppose -2*t = -7*t + j. Let x(y) = y**3 - 3*y**2 - 3*y - 2. Give x(t).
2
Let o(g) be the first derivative of -2 - 5/3*g**3 - 1/4*g**4 - 6*g - 3/2*g**2. Calculate o(-5).
9
Let v(h) be the third derivative of -h**4/4 + h**3/6 - 6*h**2. Let g = 5 + -4. Determine v(g).
-5
Let x(l) = -l**3 - 3*l**2 + 2*l + 4. Let w be x(-3). Let j(p) = 2*p + 2. Calculate j(w).
-2
Let f(l) = l**2 + 3*l + 3. Let w(y) = -2*y**3 - y**2 + y - 1. Let x be w(-2). Let p = x + -13. Give f(p).
7
Let x(f) = 2*f**2 - f. Let v(p) = -2*p**2 + p**3 - p**3 - p**3 + 2. Let b be v(-2). Determine x(b).
6
Let q(m) = -m**2 + 5*m + 7. Suppose -40 = -3*s + 3*c - 2*c, 5*s + 4*c = 44. Let a = s + -7. Calculate q(a).
7
Let y = 2 + 1. Let w(c) = -c**2 + 3*c + 2. Calculate w(y).
2
Suppose 5*q + 5 = -5*t, -2*q + 39 + 1 = -5*t. Let o(k) = k + 1. What is o(t)?
-5
Suppose -2*j - 1 = -7. Let z = -3 + j. Let y(p) = p**3 - p - 3. Calculate y(z).
-3
Suppose 2*k - 11 = k + 3*j, -10 = -2*k + 2*j. Suppose 2*s = 3*s - k. Let w(l) = -l**2 - 2*l. Give w(s).
-8
Let z(g) = -g**3 - 1. Let m be 1/(-3) + 0 - (-4)/(-6). Calculate z(m).
0
Let r be (-12)/(-16) + (-15)/4. Let k = 4 + -4. Let s(t) = -t**3 - t - 4*t**2 - 1 + k - 2. Calculate s(r).
-9
Let a(o) = -o**2 - 24*o + 25. Let h be a(-25). Let t(r) be the third derivative of h - 1/12*r**4 - 1/6*r**3 + 0*r - 2*r**2 - 1/15*r**5. Give t(-1).
-3
Let j(d) = 4*d - 3. Let w be 5/(0 - -5) + 2. Give j(w).
9
Let p(g) = -2*g + 5. Let o(v) = -v**3 - 14*v**2 - 2*v - 21. Let q be o(-14). Give p(q).
-9
Suppose -3*s + 4*s - 5 = 0. Let r(w) = 4 - 46*w**2 + 7*w + 45*w**2 - 7. Give r(s).
7
Let v be (-1 + 1)*4/(-8). Let h(i) = -3*i**3 + v - 1 - 5*i + 5*i**2 + 2*i**3. Suppose 4*b - 4*c - 28 = 0, -3*b + 3*c = -b - 17. Determine h(b).
-5
Let h(j) be the first derivative of -3 + 6*j - 3/2*j**2. Calculate h(5).
-9
Let l(b) = 6*b + 0*b**2 - 3 + 0*b**2 - b**2. Give l(4).
5
Let i(j) = j**3 - j + 6. Let d be 6/(-60)*-5 + (-2)/4. Calculate i(d).
6
Let b(w) be the third derivative of 0 + 7*w**2 - 3/2*w**3 + 3/8*w**4 - 1/60*w**5 + 0*w. Calculate b(6).
9
Suppose t + 16 = 3*t - 2*x, 3 = 3*t + 4*x. Let n be (1*2)/((-6)/(-12)). Suppose -7 - t = n*w. Let k(d) = -2*d - 2. Calculate k(w).
4
Let u(a) = -3*a - 1. Let y be u(-1). Let t(w) = 0*w**2 - w**2 + y*w + 2*w. Suppose 3*q = -s - 0*q + 3, 0 = 3*s + 4*q - 9. Give t(s).
3
Let u(h) be the first derivative of h**2/2 + 3*h + 23. Give u(0).
3
Let r(t) be the first derivative of -t**4/2 + t**3/3 - t + 1. Suppose 3*v = -4*l - 3 + 11, -l + 4*v + 2 =
|
{
"pile_set_name": "DM Mathematics"
}
|
). Let d = t - 237. What is the hundreds digit of d?
2
Suppose 14*p - 18*p = -20. Suppose -7*n + p = -6*n. Suppose -4*j + 16 = 0, -n*v - j + 396 = 3*j. What is the units digit of v?
6
Let g be (1*(-6)/15)/((-3)/(-90)). What is the hundreds digit of (-24)/(-144) + (-5302)/g?
4
Suppose -12*c + 65744 + 97492 = 0. What is the units digit of c?
3
Let p(a) = 4*a + 14. Let j be p(-3). Let f be 3 + (6 - j) + 0. Suppose -q = -f*q + 180. What is the tens digit of q?
3
Let h = -107 + 109. Let f(g) = -g**2 - 6*g + 2. Let i be f(-6). Suppose 72 = i*v + 4*w, v + w - 21 = h*w. What is the tens digit of v?
2
Let b(n) = 46*n - 31. Let t be 1*(2 - (-3 - -1)). Suppose s - 2*y - 24 = 2*y, -4*s - t = 4*y. What is the units digit of b(s)?
3
Let y(q) = q**3 + 18*q**2 + 8*q + 170. What is the units digit of y(-15)?
5
Let o = 44061 - 23825. What is the ten thousands digit of o?
2
Suppose -7*l = 166 - 570 - 1304. What is the hundreds digit of l?
2
Suppose 0 = 8*y + 22*y + 3360. Let s = y - -498. What is the hundreds digit of s?
3
What is the ten thousands digit of (-12)/8*(-104860)/3?
5
Let x(j) be the second derivative of j**3/6 + 4*j**2 + 27*j. Let a be x(4). Suppose -a*n - 312 = -14*n. What is the hundreds digit of n?
1
Let t = 14412 + -970. What is the thousands digit of t?
3
Let x(h) = 999*h**3 + 2*h**2 + h - 7. What is the units digit of x(2)?
5
What is the units digit of 1/(1 + 6664/(-6666))?
3
Let i be (43 - (-20)/(-5))*(-1)/(-3). Let h(j) = -12*j + 9*j**2 - i + 17 + 0*j. What is the units digit of h(6)?
6
Suppose 0 = -35*t - 93960 + 483895. What is the ten thousands digit of t?
1
Let b(o) = o**3 - 2*o**2 + o + 3118. Let j be b(0). Suppose -8*z - 2*g + j = -5*z, 4*z = -g + 4164. What is the units digit of z?
2
Suppose 8*r + 55*r = 126. Suppose -4*c - r*j = -2328, j - 275 = -c + 309. What is the units digit of c?
0
Suppose 35*t = 38*t + 1821. Let s = t + 879. Let j = s + -160. What is the tens digit of j?
1
Let h(m) = 6 + 1 - 5 + 12*m. Let x be h(3). Let c = -33 + x. What is the units digit of c?
5
Let h be 9/3 - 1 - 4. Let s = h - 28. What is the units digit of (-18)/s*-2*(-110)/3?
4
Suppose 3*z = -4*t + 39113, 319*z + 3*t + 39162 = 322*z. What is the units digit of z?
7
Let l(g) = -g**2 - 17*g - 32. Let a be l(-15). What is the hundreds digit of (a - 14/(-4))*668/3?
3
Let q = -6705 + 15601. What is the units digit of q?
6
Let l = -41568 + 128649. What is the ten thousands digit of l?
8
Let r(q) = 222*q**2 - 164*q + 925. What is the tens digit of r(17)?
9
Let f = -5332 + 7528. What is the tens digit of f?
9
Let i(x) = x**3 - 16*x**2 + 11*x + 17. Let q be i(17). Suppose g + 5*a - q = 0, -38*g + 39*g - 481 = -a. What is the units digit of g?
8
What is the tens digit of 4929 + -4 - (-9 - -18)?
1
What is the hundreds digit of 10*(-1 + 3861/6)?
4
Suppose 250*l = 212*l + 320454. What is the hundreds digit of l?
4
Let o(i) = 2*i**3 + 22*i**2 + 11*i - 3. Suppose 15*d + 29 + 136 = 0. Let n be o(d). Let z = 20 - n. What is the units digit of z?
4
Let v = 11 + 2. Suppose 5*x - v + 18 = 0. What is the units digit of (-33)/(-1) - (x - -1)?
3
Suppose -h = w - 38776, h - 7*w - 38770 = -10*w. What is the ten thousands digit of h?
3
Suppose -12*c + 4836 = 2*d - 14*c, 0 = 3*d - 2*c - 7249. What is the hundreds digit of d?
4
Let s(j) = j + 44. Let z be 0 + 15 + 0 + 4. Let d be s(z). Suppose 2*u - 299 = -d. What is the hundreds digit of u?
1
Suppose -2*l = -59 + 53. Suppose -2*c - 5*o = 4 - 3, 0 = c - 4*o - 6. Suppose 0 = l*k + c*t - 331, -3*k + 4*t = 2*k - 515. What is the units digit of k?
7
Let q = 4514 - 501. What is the thousands digit of q?
4
Let w be 0 - (-1)/((-4)/2156). Let n = 988 + w. What is the units digit of n?
9
Let p = 1602 - -739. What is the units digit of p?
1
Let z(t) = 2 + 206*t**2 - 198*t**2 - 17 - 3*t. What is the hundreds digit of z(-6)?
2
Suppose -11*c + 16922 = 1797. What is the units digit of c?
5
Let o(z) = z**3 - 16*z**2 + 9*z + 25. Suppose -51 = -5*r + 34. What is the hundreds digit of o(r)?
4
Let t = -109 - -112. Suppose -h - 6 = -2, 8 = 4*k - t*h. What is the hundreds digit of 223 + 1 + k*(8 - 10)?
2
Suppose 34*s = -31*s - 15274 + 283659. What is the units digit of s?
9
Suppose 173*c - 1317561 = 27*c + 131197. What is the thousands digit of c?
9
Let s be (-16)/(-10) + 60/150. Suppose a - 532 - 764 = -3*x, -s*x - a = -865. What is the units digit of x?
1
Suppose -2 - 2 = -5*x + 4*l, l = 2*x - 4. Suppose 4 = 2*h, x*g - 7*h - 1106 = -6*h. What is the hundreds digit of g?
2
Let l = 712 + 4758. What is the units digit of l?
0
Let d(p) = 4*p**2 + 171*p - 725. What is the tens digit of d(-135)?
9
Suppose 0 = -5*j - 3*l - l + 37, -j = -3*l - 15. Suppose -21976 = -4*d - 5*g + 133, 5*g - 5 = 0. What is the units digit of j/7 + -1 - d/(-63)?
8
Suppose 8*y = y + 14. Let l(g) = -6*g**2 - g - 1. Let u be l(-1). What is the tens digit of 1/(-3) - 310*y/u?
0
Suppose -5*w + 822 = 2*y - w, 1173 = 3*y - 4*w. What is the hundreds digit of y?
3
Suppose -5*f + c = -4*f + 341, 2*f + 702 = -2*c. Let t(v) = -246*v**3 - v**2. Let w be t(1). Let k = w - f. What is the units digit of k?
9
Let i be 4 + 2 + (5 - 2). Suppose 4*a - i = 3. Suppose -3*t - a*x = -x - 176, -2*t - 2*x = -114. What is the tens digit of t?
6
Let p(y) = y**2 - 2*y + 2. Let j = 46 + -44. Let t be p(j). Suppose -5*s - 135 = -4*w + 60, 2*w = t*s + 98. What is the units digit of w?
0
Let y be (-699)/(-9) + 8/(-12). Let v be (-14)/y - 805/(-11). Suppose 0 = -2*n + 335 + v. What is the hundreds digit of n?
2
Let i(c) = -688*c - 1224. What is the ten thousands digit of i(-19)?
1
Let m = -598 - -979. Let j be -6 + 3 + m/(-3). Let r = -82 - j. What is the tens digit of r?
4
Let a = 19112 + -10405. Suppose 29*n - 2*i - a = 24*n, -5233 = -3*n - i. What is the hundreds digit of n?
7
Let o = -66 + 66. Suppose o = 4*g, -4*g - 21 = -h - 2*g. Suppose 19*a = h*a - 304. What is the units digit of a?
2
Suppose -a + 2*a = 9*a. Suppose a = 4*u - 6*u + 5*v + 2320, -u + 1162 = -2*v. What is the units digit of u?
0
Suppose -3*k = -4*w + 156204, 218589 = 4*w + 4*k + 62385. What is the tens digit of w?
5
Suppose 5*a + 125*j - 129*j - 35282 = 0, 0 = 3*a + 3*j - 21153. What is the thousands digit of a?
7
Let s = 54 - 273. What is the tens digit of (s/15 + -1)/((-2)/35)?
7
Suppose 227778 = 2*l + 29*l - 95180. What is the ten thousands digit of l?
1
Suppose 39*q = 48*q - 27. Suppose -g + 481 = -2*y, 1473 = q*g - 0*y + 4*y. What is the hundreds digit of g?
4
Let j = -39 - -46. Suppose 3*v - j = -1. Suppose v*p = 3*q - 271 + 24, 4*q - 2*p = 330. What is the tens digit of q?
8
What is the hundreds digit of 32/10*(-562585)/(-148)?
1
Let r = 637 - 215. Let v(a) = a**2 + 3*a - 6. Let p be v(-5). Suppose -r = -p*s - 98. What is the tens digit of s?
8
Let g(l) = -2*l**3 - 6*l**2 + 19*l + 6. Let n be g(-10). Let k = n - 820. What is the tens digit of k?
9
Suppose 62351 = 20*v - 118918 - 171411. What is the thousands digit of v?
7
Suppose -4*k + 11 + 15 = -c, 5*k - 3*c = 36. Suppose k*y - 5*r + 1734 = 8*y, y = 2*r + 876. What is the units digit of y?
2
Let p be -3 + 5 + (-4 - 637). Let b = p + 1053. Let q = b - 212. What is the units digit of q?
2
Let d(s) = -5*s**2 + 587 - s + s**3 + 598 - 18*s - 1201. What is the hundreds digit of d(9)?
1
Suppose 128*m - 115*m = 46228. Let p = m + -1881. What is the units digit of p?
5
Let n = 8445 + -2974. What is the units digit of n?
1
Let z(f) = 3*f**2 + 3*f + 14. Let b(g) = g - 5. Let h be b(-7). What is the units digit of z(h)?
0
Suppose -3*j + 26 + 29 = -o, -5*o = 3*j - 67. Suppose 34 = 3*r + j. What is the units digit of r + 0 - (-20 - 13)?
8
Let t be 32 + 1 + 2/(-3)*3. Suppose 5*a - t = 2*x, -4*a + 38 = -2*x + 12. Suppose -o - a*o = -378. What is the tens digit of o?
6
Suppose -14*k + 12*k + 28 = 0. Suppose 28 = -6*z - k. Let r(m) = -m**2 - 18*m - 15. What is the units digit of r(z)?
2
What is the units digit of 2/(-8) + (-90132)/(-464)?
4
Let x = -823 + 1668. Suppose -5*l - x = 6*r - r, 3*r = 4*l + 676. Let z = -27 - l. What is the tens digit of z?
4
Let q = -10077 + 94352. What is the units digit of q?
5
Let o(u) = u**2 + 15*u + 61. Let z be o(-8). Suppose -2*h = -d + 55, z*d = -4*h + 3*h + 330. What is the units digit of d?
5
Let j = 145688 - 59499. What is the thousands digit of j?
6
Let w(g
|
{
"pile_set_name": "DM Mathematics"
}
|
ivative of p**3/3 - 2*p**2 + 4*p - 1. Let t be f(5). Let k(q) = q + 34. Calculate the remainder when 124 is divided by k(t).
38
Suppose 3*z + 63 - 205 = -k, -2*k = -3*z - 302. What is the remainder when 454 is divided by k?
10
What is the remainder when 5656 is divided by 2/(-11) - 12245520/(-10835)?
6
Let v = 2886 - -360. Calculate the remainder when v is divided by 58.
56
Let l(s) = 6*s + 0*s**2 + 4*s**2 - s**3 + 2*s**3 + 8 + 3*s**2. Let z = -1350 + 1381. What is the remainder when z is divided by l(-6)?
7
Suppose -3*x + 195 + 177 = 0. Suppose -4*s + x = -3*v - 23, -v - 37 = -s. Calculate the remainder when s is divided by 19.
17
Suppose -1293*d - 908 = -1295*d. Suppose 4*u = 2*h - 106, 4*u + 207 + 13 = 4*h. Calculate the remainder when d is divided by h.
55
Suppose 0 = 3*w - w + 2. Let q(y) be the first derivative of -104*y**2 - 7*y - 4. What is the remainder when q(w) is divided by 51?
48
Let o(d) be the second derivative of -5*d**3/2 + 3*d**2 - 32*d. Let l be o(-2). Suppose -3*x + 21 = -l. Calculate the remainder when 75 is divided by x.
18
Suppose -3*k - 15 = -6. Let i = 15 - 8. What is the remainder when ((-18)/k - 3)*3 is divided by i?
2
Suppose -296 = -2*d + 4*a, -2*d - 232*a = -233*a - 305. What is the remainder when 2612 is divided by d?
148
Let d = 1302 + -1128. Calculate the remainder when 1911 is divided by d.
171
Suppose 0 = -3*l - 3794 + 761. Let k = l - -547. Calculate the remainder when 22/(-77) + k/(-7) is divided by 17.
15
Suppose 2*j = 2*h - 880, -48*h - 1313 = -51*h + 4*j. Calculate the remainder when 449 is divided by h.
2
Let d = -28 - -15. Let c(t) = 5*t**2 - 55*t - 101. Let h(b) = -b**2 + 14*b + 25. Let k(w) = -2*c(w) - 9*h(w). Calculate the remainder when k(d) is divided by 9.
7
Let g be (138 - 2)*3/12. Suppose 3360 - 640 = g*l. What is the remainder when 170 is divided by l?
10
Let a(o) = -6*o - 215. Let t be -1 - (2 + -4) - 27. Let w = t + 38. What is the remainder when w is divided by a(-36)?
0
Let u(y) = 63*y + 41. Let t be u(2). What is the remainder when t + (-9 - (-8 - 1)) is divided by 89?
78
Calculate the remainder when (-1)/((-2)/12) + 397 + (-9 - -31) is divided by 20.
5
Let t(h) = -35*h**3 - h**2. Let r be (2/14)/(18/126) - 243. What is the remainder when (-30)/5 + (-1 - r) is divided by t(-1)?
31
Suppose -4*n + 384 = 4*g, -2*n - 3*g + 188 = -2*g. Suppose 3*b + 62 = -2*f, 2*f + n = -f - 5*b. Let m = -7 - f. What is the remainder when 79 is divided by m?
25
Let n(q) be the third derivative of -q**6/60 - q**5/30 - q**4/8 + 2*q**3/3 - 3*q**2. What is the remainder when (240 - -1) + 7 + -3 + -3 is divided by n(-3)?
46
Suppose 0 = 5*d + 3*h - 951, 2*d + 5*h = 3*h + 382. What is the remainder when d is divided by (-17)/(374/(-220)) - (-18)/2?
18
Suppose -5*y - 6 = 9. Let w = 2 + 9. Calculate the remainder when w is divided by 1*((-2)/8*0 - y).
2
Suppose 0 = -p - 3*l + 9, 2*p + p - 39 = -5*l. Suppose p*u - 375 = 13*u. Calculate the remainder when 293 is divided by u.
68
Let k = 387683 - 387656. Suppose -90 + 24 = -3*v. What is the remainder when k is divided by v?
5
Let b = 2197 - 2111. Let p be (-14)/2*(-18)/21. Suppose -4*d - 2*i = -174, -75 = -p*d + 4*d - 5*i. Calculate the remainder when b is divided by d.
41
Let b = -43 + 12. Let h = -29 - b. What is the remainder when (3 - 21/6) + 93/h is divided by 17?
12
Let g = -21802 + 23009. What is the remainder when g is divided by 33?
19
Let c be 72*((-609)/(-99) - (-26)/143). Let p = c + -383. Calculate the remainder when 289 is divided by p.
70
Let m(q) = -8*q - 54. Let x be m(-7). Suppose -x = -4*h - 18. What is the remainder when (h - (-34)/8)*148 is divided by 10?
7
Let x(z) = z**3 + 3*z**2 + 2*z - 17. Calculate the remainder when x(6) is divided by 26.
7
Suppose 2*a = q + 67, 2*a + 200 = -5*q - 171. What is the remainder when (q/3)/((117/(-135))/13) is divided by 16?
13
Suppose 0 = -2*q - o + 16 + 36, q - 26 = 2*o. Let m(p) = -p**3 + 18*p**2 + 49*p - 834. What is the remainder when m(18) is divided by q?
22
Suppose 1096 = -44*k + 112*k - 604. What is the remainder when 2773 is divided by k?
23
Suppose -4*x + 171 - 33 = 10. What is the remainder when 1050 is divided by x?
26
Suppose 18*z = -4*z - 44. Let k = 8 - -9. What is the remainder when (z - (-2 + (5 - 9))) + 28 is divided by k?
15
What is the remainder when (-244)/(-6) + (-3)/27*-3 is divided by (400/150)/(0 - (-2)/12)?
9
Suppose 16*w - 14*w - 8 = 0. Suppose m - w*k + 40 = -2*m, -2*k = -5*m - 48. What is the remainder when (-668)/(-16) + (-10)/m is divided by 5?
3
Let g be 53 - (-13 - 7)/(-4). Suppose 5*r + u = 131, -45*u - 96 = -4*r - g*u. Let t = -8 + 18. What is the remainder when r is divided by t?
7
Let g(m) = 9*m**2 - 23*m + 77. Let h = 17 + -14. Calculate the remainder when 440 is divided by g(h).
84
Let c be -2 + 23 + (-18)/2. Suppose -98*l + 96*l = -c. Calculate the remainder when 107 is divided by l.
5
What is the remainder when ((8 - 7)*(-4)/12)/(1/(-1413)) is divided by 95?
91
Suppose 2*s - 460 = 18. Let l = 284 - s. Calculate the remainder when l is divided by 24.
21
Suppose 2*d - 47 = -3*t, 4*d - 2*t - 75 - 43 = 0. Let n(p) = 19*p - 74. Calculate the remainder when n(17) is divided by d.
25
Let x(l) = -10*l**2 - 3*l - 2. Let k be x(-1). Let c be ((-25)/15)/5*k. Suppose 0 = 5*z - 32 - c. What is the remainder when 54 is divided by z?
5
Suppose 14 = -5*d + 2*b + b, -3*d - 9 = -2*b. Calculate the remainder when 147/6 + d/(-2) is divided by (1248/(-36))/13*(-4)/(80/105).
11
Suppose -160*f + 111045 + 115471 = 94996. What is the remainder when f is divided by 164?
2
Let m = -8410 - -8519. What is the remainder when m is divided by 94?
15
Suppose 0 = -3*q + 14*q - 253. Suppose 4*n - 240 = -2*w, w = -2*w - 12. Calculate the remainder when n is divided by q.
16
Calculate the remainder when 6/(36/10)*(-217821)/(-85) is divided by 89.
88
Let f(c) = 16*c + 36. Let a be f(4). Suppose 8*w - a = 4*w. Calculate the remainder when w is divided by 7.
4
Let p(q) = -5*q - 15. Let r be p(6). Let k = r - -172. Suppose k - 655 = -12*g. What is the remainder when g is divided by 12?
8
Let s be (12/(-14))/((-3)/(-756)*6). Let y = s - -40. Suppose 176 = y*d + 40. Calculate the remainder when 101 is divided by d.
33
Suppose 39*m - 1569*m = 601*m - 652086. Suppose 5*x = 496 - 101. What is the remainder when m is divided by x?
69
Let p be (-130)/(-3) + (-64)/48. Suppose 2*n = -5*j + 10*j + 28, p = 3*n - 2*j. What is the remainder when 335 is divided by n?
13
Let z = 72 - 13. Suppose 0*s + 4*s + 2*w = 62, -3*s - w + 46 = 0. Calculate the remainder when z is divided by s.
14
Let s(v) = -2*v**3 - 102*v**2 - 7*v - 73. What is the remainder when s(-51) is divided by 117?
50
Suppose v - 6 = 2*v. Let f(q) = -q**3 - 3*q**2 + 4*q + 11. Calculate the remainder when f(v) is divided by 50.
45
Suppose 6*k = 4*k + 5*n + 35, k + 5*n = 25. Suppose -1190 + k = -5*i + 5*m, -710 = -3*i + 5*m. What is the remainder when i is divided by 58?
56
Suppose -2*s + 33 + 11 = 0. Let g(f) = -2*f - 51. Let a be g(17). Let w = a - -236. What is the remainder when w is divided by s?
19
Let f = 1513 - 1385. Suppose 95 = 5*y + 35. What is the remainder when f is divided by y?
8
Let l(g) = 201*g**2 + 229*g - 2. What is the remainder when l(3) is divided by 827?
13
Suppose 3*q = -q - 5*i + 47, 31 = 2*q + 5*i. Let l be 4/(6*(-3 + 20/6)). Suppose 5*o - 10 = l*x - 5, -x = o - q. What is the remainder when 5 is divided by o?
2
Calculate the remainder when 4285 is divided by ((1130/(-9))/5)/(26/(-234)).
217
Suppose i = 3*l + 52, -5*i = 3*l - 120 - 86. Suppose -d = 11 - i. Let a(f) = -50*f - 9. Calculate the remainder when a(-4) is divided by d.
31
Suppose -2*y + 4*i + 1170 = 0, 3*y - 909 = -2*i + 854. Calculate the remainder when y is divided by 31.
29
Suppose -3*v + 53 = -x, 2*x + 90 = 5*v - 0*x. Let o = 21 - v. Suppose 5*q = 175 - o. What is the remainder when q is divided by 6?
4
What is the remainder when 64 - 71 - ((-1 - 2) + -357) is divided by 56?
17
Suppose 9*n - 13*n + 8 = 0. Suppose 4 = -h + n*h. Suppose 218 = h*i + 2*v, -2*i + 3*v = -0*i - 89. Calculate the remainder when i is divided by 27.
25
Suppose -3*d = -2*d - 337. Let y = d - 304. What is the remainder when 230 is divided by y?
32
Let x = 2758 - 2564. Calculate the remainder when x is d
|
{
"pile_set_name": "DM Mathematics"
}
|
Express 1462*y - 8650 - 8654 + 17304 as q*y + z and give q.
1462
Express (5*l - 4 - 7 - 3)*((-8 + 3 + 2)*(-5*l**2 - 2*l**2 + 5*l**2) + (-2*l + 2*l + 2*l)*(-7*l + 2*l + 3*l)) as k + t*l**3 + w*l + q*l**2 and give q.
-28
Express -1051*h**2 + 3410*h**2 - 2*h**3 - 2*h + 7159*h**2 + 2305*h**2 as b*h**2 + o*h**3 + k + z*h and give z.
-2
Express 1 - 34*j**2 + 101*j**2 - 56*j**2 + (0*j - j + 0*j)*(5*j - 3*j - 5*j) in the form k*j + u + x*j**2 and give u.
1
Rearrange -166*c**3 + 9*c**2 - 7*c**2 + 174*c**3 + 24*c + 8*c**2 to w + u*c**2 + j*c**3 + d*c and give j.
8
Express -79*a**2 + 2*a**4 + 2*a - 271*a**3 - a - a**4 + 269*a**3 + 610*a**2 in the form y*a + j*a**4 + m*a**2 + n*a**3 + r and give y.
1
Express -g**3 - 452835 + 217*g**4 + 452836 + 390*g**4 + 3*g**2 as f*g**3 + h*g + v + s*g**4 + m*g**2 and give m.
3
Express -12*d - 3256 + 1628 + 12*d - 204*d**2 + 1633 in the form g*d + z + q*d**2 and give z.
5
Rearrange (190*v**3 - 203*v + 204*v + 151*v**3)*(v + 0 + 0) to the form w + i*v**3 + c*v**4 + s*v**2 + r*v and give s.
1
Express -4*x**2 + 3*x**2 + 2*x**2 + (1 + 2 - 4)*(0*x**2 + x**2 + 0*x**2) + 0 + 0 + 2*x**2 + 569 - 213 - 213 - 143 + 40463*x**2 as z*x + m + f*x**2 and give f.
40465
Rearrange (-13*n + 2*n - n)*(-158 - 6*n + 287 - 141) to the form q*n**2 + y*n + u and give y.
144
Rearrange (17 - 17 - 9*g)*(-771*g - 529*g + 142*g) to p*g**2 + k + f*g and give p.
10422
Express 3 - 3 + p**4 + (515 - 586 - 1149)*(-11*p**2 + 11*p**3 + 13*p**4 - 10*p**3 - 15*p**4) as c*p**4 + m*p**3 + o*p + v + f*p**2 and give c.
2441
Rearrange -1390 - 3*a**2 + 3*a**2 - a**2 - 761*a - 760*a + 1524*a to the form y + t*a + u*a**2 and give y.
-1390
Rearrange -4*q + q - 8*q + (-57*q - 48*q + 2*q)*(4 - 3 + 0) to the form r + t*q and give t.
-114
Rearrange -26697*v**4 + 2*v - 2*v**2 + 80086*v**4 - 26695*v**4 + 31 - 26695*v**4 to l*v**4 + m*v**2 + u*v**3 + t*v + z and give t.
2
Express 24045*a - 3967*a + 1498*a + 2926*a as l*a + b and give l.
24502
Express (-58*r**2 - 82*r**2 + 50*r**2)*(3 + r - 3 + (0 + 0 - 2)*(-19*r - 22*r + 2*r)) in the form k*r**3 + l*r**2 + o + z*r and give k.
-7110
Express 575 + 141*h + 5*h**2 - 397*h + 148*h + 109*h - 2*h**4 - h**3 in the form c + y*h**3 + g*h**4 + w*h + s*h**2 and give c.
575
Rearrange -1157*f + 8913*f + 8392*f - 3705*f + (0 + 0 - 2)*(2*f - f + f) to the form n*f + y and give n.
12439
Express 211 + 154 - 365 + 9583*s as z*s + m and give m.
0
Rearrange (200*l - 155*l + 332*l)*(2*l - 16 + 16) to w*l**2 + c*l + x and give w.
754
Express 1731*t - 21769*t + 366 - 175 - 191 as h*t + u and give h.
-20038
Rearrange -3308*g - 3866*g + 60 - 60 to q + n*g and give n.
-7174
Express -24800 + 12401 - 7*j**3 + 5*j + 12398 - j**2 in the form v*j**2 + d*j + o*j**3 + c and give v.
-1
Rearrange -1538*z + 2237*z - 4255*z - 2209*z to the form f + w*z and give w.
-5765
Express (-4026*v**2 + 980*v**2 - 3361*v**2)*(-2*v**2 + 4*v**2 - v**2) as l + t*v + b*v**4 + f*v**3 + a*v**2 and give b.
-6407
Express -241 - 20*g - 237 + 496 - g**2 as h + l*g**2 + a*g and give l.
-1
Rearrange -c**3 + 49*c + 5 + 34*c**4 + 2035*c**2 - 50*c - 2037*c**2 + 0*c**3 to the form v*c + s + d*c**3 + j*c**2 + g*c**4 and give s.
5
Express 4082*n**2 + 4438574*n - 4438574*n in the form m*n**2 + c*n + v and give m.
4082
Rearrange (562*b**2 + 742*b**2 - 887*b**2)*(2*b**2 - 2*b**2 + 3*b**2) to j*b**4 + g*b**2 + t*b + m*b**3 + z and give t.
0
Express (-757*t + 91*t**3 + 757*t)*(216 + 297 - 392) in the form i + k*t**3 + o*t + x*t**2 and give k.
11011
Rearrange -4396 - 4401 + 8797 - 2417*d to the form z + y*d and give y.
-2417
Express -n - 3*n + 3*n + (-2 + n + 2)*(578 - 486 + 1124) as l + k*n and give k.
1215
Rearrange -18*h + 18*h + 6*h**3 + (0 + 4 - 2)*(2469*h**2 - 280*h**3 - 2469*h**2) to l*h**3 + p*h**2 + j*h + s and give l.
-554
Rearrange 11*w**3 + 82*w**2 + 630*w - 82*w**2 - 2329*w - 9*w**3 to b*w**2 + g*w**3 + u + s*w and give g.
2
Express 2*m + 3 - 3 + (-3 - 1 + 2)*(-3 - 2*m + 3) + 2*m - 2*m - 7*m - 48*m + 207*m + 595*m as a + i*m and give i.
753
Express (-1488 + 1099 + 1519 + 5 - 4 - 2 + (0 + 2 - 4)*(0 + 1 - 2) + 2 - 3 + 2)*(-n + 0*n - 2*n) as o*n + f and give o.
-3396
Express (0*k + 0*k + 2*k)*(-3*k - k + 5*k) - 20*k + 20*k - 2*k**2 + (0*k + 3*k - k)*(k + 1 - 1) + k**2 - k**2 - 3*k**2 as m + u*k + y*k**2 and give y.
-1
Express 63 - 62*d + d**4 + 8*d**2 - 2*d**2 - 96*d + 181*d + 2*d**3 - 5*d**2 as m*d**3 + f*d**4 + q*d + y*d**2 + x and give f.
1
Rearrange 5*m + 1618*m**2 - 16*m + 11*m - 3346 + 3342 to x + b*m**2 + r*m and give r.
0
Rearrange (-1 + 1 - 1)*(62 + 3 - 1)*((1 - 4 + 2)*(0*y - y + 0*y) - 19*y + 8*y + 22*y) to the form i*y + r and give r.
0
Express -442*g**2 - 2 - 1184*g + 2 - 439*g**2 + 882*g**2 as r + u*g + h*g**2 and give u.
-1184
Rearrange 2*x**4 + 2*x**2 - 2*x**2 + (-1089*x**3 + 186*x**3 - 1143*x**3)*(x + 3*x - 2*x) to the form t*x**2 + p*x + q + u*x**4 + l*x**3 and give p.
0
Express (52*x**2 + 19*x**2 + 41*x**2)*(3 - 3 - 3)*(1 + 2 - 6)*(-5 + 5 + 1)*(13*x + 1 + 0 - 11*x) in the form o*x**2 + l*x + f*x**3 + h and give f.
2016
Express (18488*m**2 - 18488*m**2 + 501*m**3)*(13 + 21 + 49) as a*m + j*m**3 + p + f*m**2 and give j.
41583
Rearrange 61*o**2 + 62 + 21*o - 69*o**2 - 21*o to the form f + c*o**2 + n*o and give f.
62
Express 142*f - 4125*f**2 + 618*f + 4124*f**2 in the form b*f + p*f**2 + o and give b.
760
Rearrange -3288*n**3 + 262*n**3 - 2033*n**3 + (3*n - 5*n + 3*n)*(4*n**2 + n**2 - 2*n**2) to the form y + t*n + a*n**3 + f*n**2 and give a.
-5056
Express 4*k - 16*k + 284*k**2 + 9*k - 4*k - 964*k**2 as m + d*k**2 + n*k and give n.
-7
Express -q**4 - 739*q + 650*q**2 - 26*q**3 + 26*q**3 + 210*q**2 + 741*q as n*q**4 + l*q**2 + b + x*q**3 + v*q and give v.
2
Express 1 - 672*g + 540*g - 2*g**2 + 931*g in the form r*g + n + m*g**2 and give n.
1
Rearrange (438 - 640 + 444)*(-4*d - 4*d + 4*d) to t*d + y and give t.
-968
Rearrange -2*x**3 + 106*x**2 - 9*x**3 - 75*x**2 + x**3 to the form g*x**2 + i + c*x + u*x**3 and give g.
31
Rearrange -13*i - 5*i**2 + 78*i - 83*i to f*i**2 + t*i + q and give t.
-18
Express -2773 + z - 156 + 925 in the form f + d*z and give f.
-2004
Express 12*x - 1199 - 1213 + 2410 + (-4*x + 2*x + 3*x)*(7 - 2 + 0) in the form d*x + w and give d.
17
Rearrange -3*g + 3*g + g + 2*g - 4*g + 0*g + (-3*g + 2*g - g)*(1 - 2 + 3) + (3 + 2 - 3)*(-g + 0*g - g) + 62*g - 229*g - 96*g to p*g + u and give p.
-272
Rearrange 3011*g**2 + 3018*g**2 - 9013*g**2 + 2999*g**2 - 12*g**3 + 5 to i*g**2 + f + b*g + s*g**3 and give i.
15
Rearrange (-10 + 8 + 15*w + 1)*(-17 - 1 + 7) + (3 - 3 + 2)*(0 + 0 - w) + 4 - 4 - 2*w + w - 2*w + 0*w to m*w + u and give m.
-170
Express 902 - 822 - 15*y + 6*y + 2*y + 0*y + y + (4*y - 2*y - 4*y)*(-4 + 2 + 3) + 3*y - 5*y + 0*y as i + m*y and give i.
80
Rearrange 77*c + 38 - 72 + 33 + 468*c + 98*c to n + l*c and give n.
-1
Rearrange -657*l**2 + 1310*l**2 - 650*l**2 - 563*l - l**3 to k*l + n*l**3 + i + y*l**2 and give k.
-563
Express -104923*b - 10793 + 209858*b - 104933*b in the form i + w*b and give w.
2
Express -2 - 2091*c + 1 + 0 - 8*c - 52*c as y*c + h and give h.
-1
Rearrange -132*m + 3*m**3 + 8 + 9*m**4 - 18*m**2 - 5*m**3 + 132*m - 10*m**4 to the form t*m**4 + f + n*m + x*m**3 + c*m**2 and give t.
-1
Express 22*q**2 + 84*q**2 - q - 114*q**2 + 177 as s + k*q + x*q**2 and give x.
-8
Express 21*t**2 + 10*t - 56*t**2 + 29*t + 299*t**3 + 7 - 301*t**3 - 9 as u*t**2 + l*t**3 + i*t + q and give q.
-2
Rearrange (632*v**2 - 233*v**2 + 807*v**2 - 213*v**2)*(3*v**2 - 3*v + 3*v) to q*v**4 + a*v**2 + h + k*v + z*v**3 and give q.
2979
Express -7*x**3 + 23*x**3 + 101 - 4*x**3 + 19 + x as a*x**2 + z*x + w + q*x**3 and give q.
12
Rearrange 759*s + 2171*s - 1426*s to w*s + p and give p.
0
Rearrange 3 - 3 - 2*s + 5*s - 3*s + 0*s + (2 - 2 + 1)*(-s - 3 + 3) + (-4 - 2 + 0)*(-s + 4*s - 5*s) + 4*s + 8*s - 36 + 37 to y + q*s and give y.
1
Rearrange 2727 - 6314*i**3 + 13*i**2 + 6312*i**3 - 13*i**2 to w + y*i**3 + n*i**2 + r*i and give y.
-2
Express -6*s**2 + 2264*s - 13*s**2 - 2264*s - 10 in the form i*s**2 + g*s + w and give w.
-10
Express -94*v + 5 - 10 - 182*v + 8 as d*v + h and give h.
3
Rearrange -19*o**2 - 15*o**2 + 49*o**2 - 28 - 39 to r*o + t*o**2 + l and give t.
15
Rearrange (o**2 - o**2 + 2*o**2)*(52831 - 5930 + 41405 + 8090 + 26990 - 20423) to m + p*o + b*o**2 a
|
{
"pile_set_name": "DM Mathematics"
}
|
95). Solve -4*m = -5*m + p*d + 27, 5*d = -m - 23 for m.
2
Suppose 0 = 2*y + y - 54. Let s = -2 + y. Solve -h = -4*q + 2*q - 8, h + s = -4*q for q.
-4
Let o = 1 + 4. Let b(y) = y - 3. Let d be b(o). Solve d*m = s - 2, -3*s - 6*m = -4*m - 6 for s.
2
Let a(h) = h + 7. Let o be a(-5). Suppose -r = -3*t - 77, t + 32 - 8 = o*r. Let y = -16 - t. Solve -5 = 2*p + 3*u, -2*p + 3*u = u - y for p.
2
Suppose -n + 7 = c, 0 = -n + c - 0 - 3. Let s be (-64)/10*(-40)/16. Solve 6 = -f + 2*h, n - s = -3*f - 2*h for f.
2
Let i(w) = w**2 - 5*w + 2. Let m be i(5). Suppose 2 + m = 4*x. Solve -v = n, -3*n = 4*v + x - 0 for v.
-1
Let w be -7*(0 + 18/21). Let g = 9 + w. Solve -h - 28 = -5*d, 7*d - 2*d = -g*h + 16 for d.
5
Suppose 10 = -0*s + 2*s. Suppose -w = -s*w - 8. Let u be 5/(-2)*1*w. Solve -h + 14 - 4 = -5*g, -10 = -u*h + 5*g for h.
0
Let b(t) = -t**3 - 6*t**2 + 6. Let y be b(-6). Let j be y/4*14/3. Solve 3*v = 2*w + j - 2, 3*v = w + 10 for v.
5
Let v = 55 + -51. Solve v*i - 14 = 2*j, 4*j = -i - j + 20 for i.
5
Let b(h) = h**2. Suppose 2*t = 5*n, -4*n + 0*t - 2*t = 18. Let u be b(n). Solve -5*y + u*o = -37, -2*y - 3*o - 5 = 2*o for y.
5
Suppose 4*z + 9 - 25 = 0. Solve -z*c + 2 = 2*u, 0 = 5*c + 6*u - 2*u + 2 for c.
2
Let n be 12/(-7) - (-10)/(-35). Let s be (6 - 6)*n/4. Solve s = 4*z + 2*h - 28, -4*z + 3*h = -6*z + 22 for z.
5
Suppose -3*t - 280 = 2*t. Let f = -34 - t. Solve 4*z = -2*a + f, -4*a = 5*z - 3*a - 20 for z.
3
Let c(d) = -d**2 + 31*d - 31*d + 5*d**3. Let t be c(1). Solve 3*k = t*z - 16, -2*k + z = -2*z + 12 for k.
0
Let j(h) = -4*h - 12. Let z be j(-4). Solve 2*k = z*g - 6, -3*g + 18 = 2*k + g for k.
3
Suppose 2*r = o + 7, 6 + 2 = -4*o + 4*r. Suppose 5 = -2*z - a + 4, -2*a = -o*z - 19. Let p = z - -6. Solve 3*m = -12, 5*t - p*m - 28 + 6 = 0 for t.
2
Let u(k) = 2*k - 8. Let v be u(5). Suppose 3*c - 4*q = -3*q + 6, -2*q = -c + v. Solve -c*z + 8 + 0 = 2*b, 0 = b + 4*z - 7 for b.
3
Suppose 0 = 6*i - 3*i - 12. Solve -w + h = 2, -i*w = -0*h - 3*h + 8 for w.
-2
Let f(j) = j**2 + j - 1. Let q be f(-3). Suppose -4*r + 5 = -3. Let k be r/6 - 16/(-6). Solve -q*p = -5*s - 10, p - 3*p - k*s = 11 for p.
-1
Let i = -32 - -34. Solve -2*n = 4*j + 18, i*n - 4*j = -n + 3 for n.
-3
Let v(w) = w**2 - w. Let u be v(1). Let g = -3 + 6. Suppose 3*i = -4*x + 28, g*i - 6*i + 3*x = 0. Solve n = -3*c + i, -5*c + u*n = -3*n - 16 for c.
2
Suppose -2*n + s + 8 = 0, 4*s + 11 = 4*n + 3. Suppose -7 = -8*v + 9. Solve 0 = -f - 4*k + 3, v*k = n*k - 8 for f.
-5
Let f be (-3)/(15/80*-2). Let s be 16*-2*(-1)/2. Solve -k = -3*b - s, b + 2*b = -k - f for k.
4
Suppose -2*p + 13 - 3 = 0. Solve -p*g - 1 + 5 = -4*y, 2*y = 5*g - 12 for g.
4
Let b(z) = z - 1. Let a be b(3). Solve -2 = -a*f, k + 2*k + 7 = -5*f for k.
-4
Suppose 3*u = -u. Solve -12 + 37 = 5*w, 4*c + 2*w - 14 = u for c.
1
Suppose 3*z - 5*z - 12 = -2*y, -y + 11 = -2*z. Let g = 8 + z. Suppose 3*d = 10 - 1. Solve 0 = -d*x - 2*p - g, 3*p - 8 = 3*x + 10 for x.
-3
Let d = 7 - 5. Let o = d - -12. Solve r = -4*m - r + o, 0 = -4*m + 4*r + 20 for m.
4
Suppose 22 = 5*n + 4*p, n - 5*p - 3 = 13. Let a be (-3)/(9/n) - -5. Solve -4 = 4*l + 5*f, 2*l - 3*l - a*f = 1 for l.
-1
Let x(p) = p**2 + 5*p + 5. Let g be x(-5). Let k be 52/(-6)*(-2 + -1). Let s be 0/(-4 + 3) + 33. Solve k - 1 = 5*f + i, -2*f = g*i - s for f.
4
Let i be 9/3 - 6 - -3. Suppose -15 = 5*b, i*a - 3*a = 2*b. Let n be (-1)/((-18)/(-10) - 2). Solve -4*z + 12 = 2*q - n*z, 0 = -a*q - z + 4 for q.
4
Let i = 20 + 3. Solve x + 10 = -4*x - 4*r, i = 4*x - 3*r for x.
2
Let i = 14 + -11. Solve -n - 5*s = n, -1 = n + i*s for n.
5
Let o be (12/(-10))/(3/10). Let w(f) = -2*f - 4. Let y be w(o). Solve -1 = -k - 0, 2*k - 14 = y*v for v.
-3
Let j(t) = 2*t**2 + 5*t + 7. Let l be j(-2). Solve y - 4*b - l = 0, 0*b - 5*b = -3*y + 15 for y.
5
Suppose 0 = 4*g + 2*k - 52, -4*g = k + 4*k - 46. Let h = 14 - g. Solve h*s - 5*l - 20 = -s, 4*l + 12 = 0 for s.
5
Let f(d) = -d**3 - 4*d**2 - d - 4. Let z be f(-4). Solve 4*y + y - 17 = -3*w, y - w - 5 = z for y.
4
Let m be 3 - (2 - (-1)/(-1)). Suppose -6 = -2*n, -2*i - 1 = m*i - 3*n. Solve -g = -3*o - 13, 0*o - 14 = -i*o - 5*g for o.
-3
Let n be (-1)/3*-2*24. Solve -2*i + 2 = -3*j, j - 4*i + 0*i - n = 0 for j.
-4
Let z = -17 - -22. Solve u + z*q = -20, -u = 4*u + 2*q + 31 for u.
-5
Suppose -3*u + 22 = -u. Solve 4*a - 2*a + 3*h + u = 0, 4*h + 14 = -2*a for a.
-1
Let x be (-16)/(-12)*6/4. Let v(p) = -3*p - 1. Let m be v(-2). Let n = -1 - -7. Solve -q - m = x*f, -4*f - n = -2*f for q.
1
Let o(a) = -a**2 - 6*a + 3*a - 2*a + 0 + 4. Let m be o(-5). Solve 2*f - f = 5*g + 21, -8 = m*g - 3*f for g.
-5
Let y(p) = -p**2 - 9*p - 7. Let j be y(-8). Solve 5*s + 0 = -2*o - j, 2*o + 3*s = 1 for o.
2
Let x be (15/30)/(2/20). Solve x*c - 5*f = -10, 23 = c - 0*c + 4*f for c.
3
Let d(p) = -p**3 - 5*p**2 - 2*p - 6. Let w(u) = -3*u**3 - 3*u**2 + 2*u - 1. Let m be w(1). Let g be d(m). Solve -31 = -4*a + 4*r - 7, 5*a - g*r - 25 = 0 for a.
1
Let g(w) = -w**3 - 4*w**2 - 3*w - 5. Let t be g(-4). Suppose 32*x - 3*c = 31*x - 12, 14 = -2*x + 4*c. Solve -5*y = -20, -2*i - y + t = -x*i for i.
-3
Let a(p) = p. Let o be a(13). Suppose 3 + o = 4*v. Let r be 0/(1*-2)*1. Solve -v*j = b + 3*b, 2*b + 5*j + 12 = r for b.
4
Let n = 2 - 0. Solve 18 = -3*w - q - n*q, 4*w = -5*q - 27 for w.
-3
Let k = -6 - -1. Let s = k + 8. Let g(l) = -l**2 - 5*l + 1. Let d be g(-3). Solve -s*x = -3*p - 9, -2*x + 5*p + d = x for x.
4
Let f be ((-12)/5)/((-33)/(-110)). Let p be (-119)/(-9) + f/36. Solve -o + 9 = -s + 1, 4*o + p = -5*s for s.
-5
Let v be (-20)/(-15)*3/2. Solve -3*g - 15 = 2*r, -4*r + v*r + 5*g = -9 for r.
-3
Suppose 2*y - 35 + 1 = 0. Solve 2*v - 2*w = 14, -y = 3*w - 5 for v.
3
Let v(c) = c + 11. Suppose 3*u = -5*b - 37, -b - 2 - 8 = -2*u. Let r be v(b). Solve -5*f - 40 = -5*g, 2*g - 24 = r*f + f for f.
-4
Let b(w) be the second derivative of w**4/12 - 4*w**3/3 - 5*w**2/2 - 2*w. Let u be b(9). Solve 2*a - 4 = -3*c + 3, c - 9 = -u*a for a.
2
Suppose 4*k + 0*k = 16. Suppose m = -k*m. Solve -3*r = -4*n - 13, m*n - 2*n + r = 7 for n.
-4
Let g be 6/(-15) - 22/(-5). Suppose g*y - 6*y = -8. Let i(r) = 2*r - 9. Let z be i(6). Solve 5*q - z*q = -y*f, 0 = q - f - 3 for q.
2
Suppose -2*r + 60 = 5*y, 10*y - 9*y = 2*r + 12. Solve 0 = 2*i + 2*i - y, -p + i = 7 for p.
-4
Let n = 6 - 1. Suppose -5*y - 3 = j - 34, -5*j - 4*y + 71 = 0. Let b = -8 + j. Solve 0 = -7*o + b*o - n*k + 2, -2*k = 2*o for o.
-2
Let a = 29 - 43. Let t = a + 18. Solve t*g = -2*q + 2*g - 10, -5 = 5*q + g for q.
0
Suppose -4*d + 5*r = -30, 4*r - 21 - 37 = -5*d. Let y be 76/20 + 3/15. Solve 3*w + 2 = 4*l, -3*w = y*l - 0*w + d for l.
-1
Suppose -5*j = -f - j - 6, -2*f - 3*j = -21. Let u(a) = -f*a + 2*a + 4 + 3*a - 2. Let q be u(-5). Solve 4*z = -27 + q, 0 = -5*h - 4*z - 40 for h.
-4
Let q(b) = -b**3 - 4*b**2 + 6*b + 7. Let k be q(-5). Suppose k*o - 20 = 42. Solve v = -3*l + 16, -3*v - 3*l - 7 = -o for v.
4
Let s(t) = -t**3 + 3*t**2. Let l be s(2). Suppose -6*i = -l*i. Solve i = 4*o - 12, o + 26 = -4*r + 3*o for r.
-5
Suppose 0 = -0*s - 2*s. Suppose -4*u = -s*u - 28. Suppose 0 = -10*o + u*o. Solve -v = 3*v - 3*f - 13, -2*v - 5*f + 13 = o for v.
4
Suppose 4*t + 0 - 12 = 0. Suppose t*b = -5*o + 66 - 16, -5*o + 80 = 5*b. Solve b = -4*v - l, 2*l - 4 = v + 2 for v.
-4
Let w = -10 - -22. Let r(k) = k**3 + 7*k**2 - 7*k + 11. Let x be r(-8). Solve -a - 12 = -0*y + x*y, w = -5*a + y for a.
-3
Let q = 85 - 82. Solve -2*g = s - 6*s + 8, 0 = -q*s + 6 for g.
1
Let p = -25 + 29. Solve 3*m - b = p*b + 4, -m + 5 = 2*b for m.
3
Let x be ((-3)/(-5))/(1/5). Suppose x*j + j = 4*f + 20, -2*j = 2*f - 10. Solve 0 = -5*l + r + 19, l - 1 + f = 3*r for l.
4
Suppose -c - 4*c - 21 = 2*b, 0 = b + 2*c + 8. Suppose 4*o = 5*w - 28, b*w = -0*w - 4*o. Solve -2*s = w*j + 12, -2*s + 1 = -j + 3 for s.
-2
Suppose 13 = 2*r + 1. Let k(v) = v**3 - 5*v**2 - 4*v - 4. Let s be k(r). Solve -4*w - 2*y = -s, -2*w + 5 = 4*y + 13 for w.
4
Let c be 10/4 - (-4)/8. Suppose -7 = -c*j + 8. Suppose 3*p + 2 - 3 = 2*z, 3*p - 29 = -j*z. Solve -4*t + 13 = -p*m, 0 = 2*m + 4*t + 6 - 24 for m.
1
Let r be -1 + 2 + (1 - -15). Suppose -2*w - 2*q = -q + 21, 0 = -5*w + 5*q - 15. Let h be ((-4)/w)/((-2)/(-8)). Solve -4*d + r = -p, h*d + 0*p + p - 1 = 0 for d.
3
Let c(b) = 2*b - 1. Let k be c(3). Suppose -k = -5*z + 20. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
*(-18*(-4)/216)/(-1)?
26
What is the value of 44025/(-7044)*(-12)/(-45)?
-5/3
What is (15 - (-1258)/(-85)) + (-68)/(-6) + 363/(-33)?
8/15
What is ((-8)/56*7 - (-12)/2) + 18156/(-3672)?
1/18
(136/19788*97)/(6/(-1215)*-3)
45
Calculate ((-658)/42 - -16)/(39/(-54)*-2).
3/13
(59/(-25))/(-1479*119/(-30345)) + (-1)/(-5)
-6/29
Calculate (-237)/1422*(-72)/(-10) + -1.
-11/5
What is the value of (123 + -19303)/140 + 210?
73
Calculate (-1543 + 1235)*6/168.
-11
What is the value of (-5)/7*(-4538)/6807?
10/21
(-2 + ((-18753)/(-126))/(-19))*6
-59
What is 2 - -1 - (-5 - 127/(-20) - (-300)/240)?
2/5
Calculate 39 + 19 + 22 + -129.
-49
(100/150)/(3/(-18)) + (99/15 - 2)
3/5
What is (2772/315*(-5)/(-2))/(11/(-22))?
-44
What is (16/(-64))/(257/51400)?
-50
What is the value of (8/6 - 93/63)*(-6370)/(-140)?
-13/2
Calculate (3 - 118/40)/(123/(-246))*16.
-8/5
Calculate (-7485)/90 + 1020/(-360).
-86
45720/(-306) - (-3072)/2176
-148
What is -34 + (44/(528/36) - (-5 + 20))?
-46
Evaluate -3 + 2 + 0 - (190/(-266) + (-891)/(-189)).
-5
Evaluate ((-273)/(-27846)*-68)/(608/(-306) + 2).
-51
Evaluate ((-2772)/35)/11 + -54 + 68.
34/5
(-3)/((-240)/(-1430)) + (784/128)/(-49)
-18
Calculate (138/(-1541))/(1002/(-22378)).
2
Calculate -375*(-52)/780 - 7292/292.
2/73
(-135)/81*147/98
-5/2
Calculate (-22)/(-1056)*16 + (-11)/(-66).
1/2
What is the value of -6*5/(17 + 3) - 750/60?
-14
Evaluate 0*8/(-56) - (-81)/18 - 11.
-13/2
Evaluate 1 - ((-3)/81 - 65572/(-45630)).
-2/5
Calculate (90375/(-1250) + 71)/(26/(-12)).
3/5
What is (-5 + 18*7/21)*8?
8
Evaluate (6/(288/(-176)))/(3*4/(-72)).
22
(487 + -481)/((-24)/(-104))
26
What is the value of ((-48)/(-100))/(-2)*(5*1 + 130/(-18))?
8/15
Evaluate (-145 - -120) + 123*5/15.
16
What is (840/49)/(64/(-27552)*-82)?
90
Calculate 24640/2480 + -21 + 11.
-2/31
What is the value of (1186/240 - (-1152)/(-17280))*8?
39
What is the value of 35/((-2625)/90) + (-108)/12*-1?
39/5
Calculate 18/(-4)*(-56584)/57870.
22/5
((-14)/2)/((-11123)/131887)
83
What is the value of (408 - 390)*(-18)/270?
-6/5
What is the value of 2 + ((-132)/(-48) - 0 - 474/24)?
-15
Evaluate (-552)/1196 + (6 + 0 - (-3752)/(-546)).
-4/3
What is 54805/1356 - (19 + 21)?
5/12
Calculate ((-32)/10)/((-92)/(-506)) + (-4 - -14).
-38/5
What is (145 - 123) + (-29 - 0)?
-7
What is ((-3 + (-2)/(-2))/(10/(-4)))/(1704/(-8520))?
-4
Evaluate 399/(-570) - 28630/(-4900).
36/7
What is the value of (-6336)/1276 + 24 - 19?
1/29
What is the value of ((-1)/9)/((-1)/3)*2/(16/(-28))?
-7/6
Calculate 205/2255 + (-70)/154.
-4/11
(-103140)/429750 + 2*(-9876)/200
-99
What is the value of (6890/(-14469) - (-8)/14) + -29*(-19)/21?
79/3
What is the value of (44/231)/(3796/6132)?
4/13
Evaluate 10*((-3261232)/29380 - -111).
-2/113
What is the value of ((12 - -41)*4/(-10))/(2/(-10))*-1?
-106
What is the value of (-1)/((-4)/36) + (-7260)/726?
-1
Evaluate ((-162)/351)/((16800/(-260))/21).
3/20
Evaluate (-76)/(-133) - 129/(-7) - 3330/450.
58/5
What is ((-54)/(-180) - (-232)/(-240))/(32/5952)?
-124
Evaluate (138/(-260))/(2798/(-6995)) + (-2)/8.
14/13
What is the value of -3 + 3 - -8 - (-3 + (-1384)/(-88) + -5)?
3/11
(-95)/3*(2 - 4)*1887/1258
95
6*(-146 - (-47926)/372)
-103
(-2 + (-33)/(-13))*(900/210)/15
2/13
Calculate (9/8*12/(-9))/((66/(-48))/(-11)).
-12
What is 547/2188 + (-1268)/16 - (-10)/1?
-69
What is the value of 4/3*(-3)/(-2)*(1638/84 - 5)?
29
(-8)/(-7 + 8)*143*48/(-3168)
52/3
Evaluate -40 - (37 - (-27 - -43)).
-61
(-9)/396*16*110/(-4) - -41
51
What is 27 + (-959)/21 - (-9 + -11)?
4/3
-4*((-135)/(43605/(-34)) + (2030/(-152) - -1))
49
(-2)/(-325)*(-1386 + 1412)
4/25
What is ((-378)/10)/27 - 6/(-45)*21/7?
-1
((-5082)/(-8316))/(11/(-3))
-1/6
(512/576 + (-302)/36)/(5995/(-436))
6/11
Calculate (-241)/42 + 8949/2826.
-18/7
Evaluate 168/(-216) + 14464/41184 + 6/39.
-3/11
Calculate (-1)/10 - ((-108090)/900 + 82).
38
What is ((-15)/(-65) - (-658)/(-1274)) + 57*(-20)/(-315)?
10/3
2/4 + (-48)/(480/85) - (-100)/1
92
What is 54835/107250 + (-2)/(-50) - (-4 + 25/6)?
5/13
15171/73521 + 3 + 2/(9/(1107/(-84)))
5/18
What is the value of ((-495)/(-465) - 4/62)/(-3) + 3250/7995?
3/41
What is the value of -33*(-27)/(891/(-44)) + 9?
-35
Calculate (3320/(-300))/(-83) - (7053/3285 + -2).
-1/73
Calculate (-17)/3*(-26 + (-29)/(1334/(-989))).
51/2
Calculate (-58)/(-667)*(-294354)/(-948).
27
Calculate -8958 + 8959 + -26*(1 - 6/4).
14
Calculate (-1)/((-95)/7895) - 17/((-8721)/(-54)).
83
What is 1105/(-663)*(-3)/5*2?
2
What is the value of (2/(-6) + 38/1425*100)*6?
14
Calculate ((0 - 6)/1 + 1076/269)*(-350)/(-20).
-35
Calculate 15*(-8)/160*11/((-4257)/(-48)).
-4/43
What is -44 + 304*(-6 + (-679)/(-112))?
-25
Calculate 7 + -2 + -2 + (-1624)/(-580)*64/(-56).
-1/5
143/616 - 480/(-768)
6/7
What is the value of (6 - 11)*(-962)/(-65)*3/6*-1?
37
What is (-106995)/1911 + 47 - 4/((-12)/27)?
1/91
Evaluate (9 - (-103)/2)*(26 - 6800/275).
77
Evaluate ((-12)/2 + (-109053)/(-18165))*(-190)/(-114).
1/173
What is 147/14*35108/(-5502)?
-67
What is the value of (12/(-14)*(-11928)/2272)/(0 + (-4)/(-8))?
9
What is -28 + 447580/5635 + 8/14?
52
Calculate ((-2)/(-4))/(837/(-42) - -20) + 30690/(-4278).
-4/23
Evaluate 2605*(-1)/(-65) + (-14)/(-21)*6/(-52).
40
Evaluate (6/45)/(8/1100*(-280)/112).
-22/3
Calculate 7965/(-351) - (-2266)/1339.
-21
(-30)/(-220)*(-20)/((-5220)/319)
1/6
Evaluate (-6)/10 + ((-4654)/585 - 195/(-39)).
-32/9
16/(480/(-190)) + 270/(-81)*(-24)/10
5/3
(-80 - 649/(-8)) + (-110)/(-16)
8
What is the value of 1824/5200 - ((-24)/(-32))/(221/68)?
3/25
Evaluate ((-1148)/26)/(-1) + 5872/(-38168).
44
What is the value of (-104 + 8)/(-8) + (-3328)/260?
-4/5
What is the value of 39*(-4 + 1649/408)/(3/(-12)*3)?
-13/6
What is the value of (-301)/(-8) + ((-19720)/(-290) - 107)?
-11/8
(5 - 43/9) + 840/(-6750)*5
-2/5
Evaluate (-6)/(-4)*(-298)/(-447)*-37.
-37
Evaluate (-155)/((-912950)/(-372))*(-4 - ((-136)/12)/2).
-2/19
What is the value of (-3242)/9726 - (-140)/6?
23
(20/(-130)*-30)/(-18 - (-471)/26)
40
Calculate 35/(-20) - 52479/12348.
-6
Calculate (-76 - (-66 - 8)) + 3/(-12) + -1 + -2.
-21/4
What is (-1 - (-28)/(-2)) + 4984 + -4989?
-20
Calculate ((-315)/2940)/((-31)/62).
3/14
20 - (4/20 + (-87555)/(-975))
-70
What is ((-4403)/(-518))/((-1)/2)?
-17
Evaluate 1046/20 + (242 + -228 - (-715)/100*-2).
52
Evaluate (-1001)/38038*((-363)/153 - -2).
1/102
Evaluate 3422/(-177) - (-108987)/5661.
-3/37
What is (-5*2/4)/(-205 + 254 + (-4557)/28)?
2/91
(-856)/(-4922)*11799/38
54
Evaluate 37 - (-1872)/(2808/(-72)).
-11
Evaluate ((-3)/42)/(3/(-666)) + 4*14/49.
17
Calculate ((-3)/(-99))/(((-10)/72)/5)*-11.
12
Evaluate 7520/4136 + (-12096)/264.
-44
Evaluate 27 - ((9 - 4) + (194 - 90)).
-82
What is the value of ((-7125)/475*6/(-1305) - 1104/29) + -10?
-48
What is (-57)/(2223/(-3588)) - 53?
39
What is the value of (-4 - 91)/5 + (-116350)/(-6110)?
2/47
-14 - (-478)/(-180)*-5 - (-8)/12
-1/18
Calculate -9 + (-1635)/(-195) + (-3090)/(-5655).
-2/29
Calculate (-43 - -24) + (-20 - 35203/(-893)).
8/19
What is the value of ((-60)/(-960)*376)/((-5)/(10/1))?
-47
What is the value of (-120)/(-188)*400440/3408?
75
-28 - (-41 - 3) - (1 + 143)
-128
Calculate -12 - (152/1360*1)/((-2)/215).
1/68
Calculate (-34)/24 - (286/2145)/(-5*(-15)/(-1500)).
5/4
Evaluate (74 - 69) + ((-288)/(-60) - 6)*(-25)/(-2).
-10
What is the value of (117/((-45045)/(-110)))/((-44)/1834) - -11?
-10/11
(1 - 3 - 4) + (-22)/3*(-2481)/(-1654)
-17
Calculate (-22)/8*(-32 + (9 - 1400/(-40))).
-33
What is the value of ((-263627)/(-5005) + -53)*40/(-4)?
36/11
What is 25*(-10)/(-4)*(-114)/950?
-15/2
What is the value of (-2770)/(-1385) - (-17)/(-5)?
-7/5
(-7)/(135/72*-16*3/(-18))
-7/5
What is ((-2)/(-245))/((-290)/406)?
-2/175
Calculate 170/442*65 + -55.
-30
What is the value of 493/9 + (240 - 295)?
-2/9
What is 5/4 - ((-150)/100 - (0 + 1 - 3))?
3/4
What is ((-192348)/364)/27 + (20 - 2)?
-11/7
Calculate 53 - (-9 + (45 - 5)).
22
Calculate ((-1074)/84 + 13)*7*(-31 - -15).
-24
Calculate (-3 + 4 + 2)*372/36.
31
What is (55/275)/(3 - (-1308)/(-435))?
-29
Calculate ((-333)/(-27) + -17)/(-4)*1/98.
1/84
Evaluate (3/(-8)*2)/((27/54)/(12/(-42))).
3/7
Calculate (((-248)/(-1248))/31)/((-2)/(-33) + (-10865)/34980).
-1/39
What is 220/(-24640) + (-1220)/(-638400)?
-2/285
(-176)/(-99) + (-11372)/1962 - -4
-2/109
Calculate (52/104)/(((-1302)/(-4140))/(-7)
|
{
"pile_set_name": "DM Mathematics"
}
|
mainder when 12446 is divided by 249.
245
Calculate the remainder when 66184 is divided by 33010.
164
What is the remainder when 7939 is divided by 991?
11
What is the remainder when 4972 is divided by 568?
428
Calculate the remainder when 54622 is divided by 241.
156
What is the remainder when 3110 is divided by 278?
52
Calculate the remainder when 226475 is divided by 24.
11
Calculate the remainder when 1576 is divided by 736.
104
What is the remainder when 3304135 is divided by 867?
865
What is the remainder when 233269 is divided by 446?
11
Calculate the remainder when 1160857 is divided by 327.
7
Calculate the remainder when 735 is divided by 163.
83
What is the remainder when 1537 is divided by 591?
355
Calculate the remainder when 1394147 is divided by 12.
11
Calculate the remainder when 509270 is divided by 96.
86
Calculate the remainder when 1998 is divided by 1971.
27
What is the remainder when 3491 is divided by 9?
8
What is the remainder when 249183 is divided by 416?
415
Calculate the remainder when 140945 is divided by 211.
208
What is the remainder when 577664 is divided by 115532?
4
What is the remainder when 99534 is divided by 24881?
10
Calculate the remainder when 185585 is divided by 294.
71
What is the remainder when 1993 is divided by 643?
64
What is the remainder when 37829 is divided by 62?
9
What is the remainder when 244863 is divided by 16?
15
Calculate the remainder when 149726 is divided by 3482.
0
Calculate the remainder when 1870 is divided by 577.
139
Calculate the remainder when 12541 is divided by 143.
100
What is the remainder when 85142 is divided by 198?
2
What is the remainder when 46008 is divided by 37?
17
Calculate the remainder when 4836 is divided by 41.
39
What is the remainder when 10760 is divided by 1765?
170
What is the remainder when 21375 is divided by 167?
166
What is the remainder when 6093 is divided by 3014?
65
What is the remainder when 4466 is divided by 236?
218
Calculate the remainder when 17357 is divided by 100.
57
Calculate the remainder when 46122 is divided by 1397.
21
What is the remainder when 84950 is divided by 33?
8
What is the remainder when 1220 is divided by 426?
368
What is the remainder when 8318 is divided by 181?
173
What is the remainder when 7120 is divided by 890?
0
Calculate the remainder when 3175387 is divided by 951.
949
What is the remainder when 1487 is divided by 159?
56
What is the remainder when 256699 is divided by 85564?
7
What is the remainder when 15956 is divided by 5?
1
Calculate the remainder when 548 is divided by 236.
76
What is the remainder when 445188 is divided by 91?
16
What is the remainder when 174601 is divided by 860?
21
Calculate the remainder when 1244 is divided by 325.
269
Calculate the remainder when 3863 is divided by 8.
7
What is the remainder when 1900 is divided by 156?
28
Calculate the remainder when 107897 is divided by 41.
26
What is the remainder when 10455 is divided by 783?
276
What is the remainder when 590665 is divided by 2?
1
What is the remainder when 64866 is divided by 113?
4
What is the remainder when 3726 is divided by 123?
36
Calculate the remainder when 46320 is divided by 842.
10
Calculate the remainder when 4213 is divided by 304.
261
Calculate the remainder when 193450 is divided by 28.
26
Calculate the remainder when 17251 is divided by 63.
52
Calculate the remainder when 3668 is divided by 1660.
348
Calculate the remainder when 1870 is divided by 132.
22
Calculate the remainder when 5745 is divided by 230.
225
Calculate the remainder when 21580 is divided by 21516.
64
What is the remainder when 371 is divided by 156?
59
What is the remainder when 169499 is divided by 226?
225
What is the remainder when 6239 is divided by 11?
2
Calculate the remainder when 4082 is divided by 26.
0
What is the remainder when 4314 is divided by 206?
194
What is the remainder when 235694 is divided by 241?
237
What is the remainder when 2644 is divided by 1585?
1059
Calculate the remainder when 8119 is divided by 5.
4
What is the remainder when 4308 is divided by 26?
18
Calculate the remainder when 22093 is divided by 156.
97
Calculate the remainder when 21126 is divided by 91.
14
What is the remainder when 4234 is divided by 2112?
10
Calculate the remainder when 20165 is divided by 243.
239
Calculate the remainder when 2808 is divided by 523.
193
What is the remainder when 1456 is divided by 393?
277
Calculate the remainder when 157551 is divided by 3352.
7
What is the remainder when 8874 is divided by 8747?
127
What is the remainder when 7151 is divided by 325?
1
What is the remainder when 46090 is divided by 11520?
10
Calculate the remainder when 19838 is divided by 2614.
1540
Calculate the remainder when 147628 is divided by 285.
283
Calculate the remainder when 65820 is divided by 147.
111
What is the remainder when 36922 is divided by 18459?
4
What is the remainder when 197744 is divided by 221?
170
What is the remainder when 4324 is divided by 139?
15
What is the remainder when 134833 is divided by 153?
40
Calculate the remainder when 47444 is divided by 205.
89
Calculate the remainder when 424 is divided by 181.
62
What is the remainder when 26784 is divided by 136?
128
Calculate the remainder when 1203 is divided by 55.
48
Calculate the remainder when 675083 is divided by 209.
13
Calculate the remainder when 3484 is divided by 91.
26
Calculate the remainder when 147327 is divided by 679.
663
What is the remainder when 4967 is divided by 2444?
79
Calculate the remainder when 116156 is divided by 14502.
140
What is the remainder when 22941 is divided by 191?
21
What is the remainder when 5376 is divided by 1048?
136
What is the remainder when 1572 is divided by 1535?
37
Calculate the remainder when 1961533 is divided by 16.
13
What is the remainder when 78993 is divided by 15780?
93
Calculate the remainder when 79100 is divided by 11.
10
What is the remainder when 19473 is divided by 6487?
12
Calculate the remainder when 2563 is divided by 209.
55
What is the remainder when 153636 is divided by 668?
664
What is the remainder when 200083 is divided by 63?
58
Calculate the remainder when 23729 is divided by 20.
9
Calculate the remainder when 11941 is divided by 1985.
31
Calculate the remainder when 135299 is divided by 492.
491
What is the remainder when 945 is divided by 211?
101
What is the remainder when 3268984 is divided by 76?
72
Calculate the remainder when 3475 is divided by 487.
66
Calculate the remainder when 41056 is divided by 875.
806
What is the remainder when 75922 is divided by 18975?
22
What is the remainder when 438305 is divided by 687?
686
What is the remainder when 835559 is divided by 137?
133
Calculate the remainder when 56257 is divided by 5.
2
Calculate the remainder when 1857498 is divided by 34.
10
Calculate the remainder when 69144 is divided by 117.
114
Calculate the remainder when 4927 is divided by 12.
7
Calculate the remainder when 726805 is divided by 57.
55
What is the remainder when 495 is divided by 67?
26
What is the remainder when 396708 is divided by 10?
8
Calculate the remainder when 81587 is divided by 13.
12
Calculate the remainder when 587357 is divided by 34550.
7
What is the remainder when 5693 is divided by 2792?
109
What is the remainder when 2966 is divided by 2?
0
Calculate the remainder when 2266 is divided by 137.
74
What is the remainder when 21576 is divided by 273?
9
What is the remainder when 279 is divided by 49?
34
Calculate the remainder when 9973 is divided by 377.
171
What is the remainder when 11784 is divided by 437?
422
What is the remainder when 1145662 is divided by 216?
214
Calculate the remainder when 7346 is divided by 21.
17
Calculate the remainder when 74428 is divided by 18.
16
Calculate the remainder when 1141 is divided by 233.
209
What is the remainder when 815 is divided by 24?
23
Calculate the remainder when 2308 is divided by 1096.
116
Calculate the remainder when 563 is divided by 94.
93
Calculate the remainder when 1561 is divided by 560.
441
Calculate the remainder when 1211400 is divided by 449.
447
What is the remainder when 1177 is divided by 212?
117
Calculate the remainder when 22146 is divided by 84.
54
Calculate the remainder when 1278
|
{
"pile_set_name": "DM Mathematics"
}
|
69
Sort -11, 3, -3, -20, 96, 5, 0.
-20, -11, -3, 0, 3, 5, 96
Sort -7, 715, 584, 2, -4, 5, 1 in ascending order.
-7, -4, 1, 2, 5, 584, 715
Put 28, 4/9, 3, 0.3, -2/11, 10 in increasing order.
-2/11, 0.3, 4/9, 3, 10, 28
Sort 1, -2/649, 15, 2, -1, 2.6 in ascending order.
-1, -2/649, 1, 2, 2.6, 15
Sort 5, -13, -1, 712, 4, -405, 1.
-405, -13, -1, 1, 4, 5, 712
Put -1/2, 197/4, -0.03, -2, -6672 in decreasing order.
197/4, -0.03, -1/2, -2, -6672
Put -60695/3, -1/4, 143 in increasing order.
-60695/3, -1/4, 143
Sort 79, -142, 2, 0.1, 3, 27, -1/3.
-142, -1/3, 0.1, 2, 3, 27, 79
Sort -0.4, 0.34, -2/7807, 0.3.
-0.4, -2/7807, 0.3, 0.34
Put -8, 2, 34127, -4, 4 in decreasing order.
34127, 4, 2, -4, -8
Sort -194, 8, 5, -5552, 4 in increasing order.
-5552, -194, 4, 5, 8
Put 65, 1/10, 101, -0.06 in increasing order.
-0.06, 1/10, 65, 101
Put 1, -4, 0, -683014 in descending order.
1, 0, -4, -683014
Sort 0.5, -3, -25, -0.052, 4711 in descending order.
4711, 0.5, -0.052, -3, -25
Sort -201/1297, -0.2, 18 in decreasing order.
18, -201/1297, -0.2
Sort 0, -413, -4715, 6 in increasing order.
-4715, -413, 0, 6
Sort 2/15, 53, -3, 2, 2574, 1.
-3, 2/15, 1, 2, 53, 2574
Put 13, -386, 4405 in ascending order.
-386, 13, 4405
Put -0.4, -1, -267, -208, 2/15 in descending order.
2/15, -0.4, -1, -208, -267
Sort 0, 179, 31894 in ascending order.
0, 179, 31894
Sort -4, -0.2, 90, 2, -17, 0.3.
-17, -4, -0.2, 0.3, 2, 90
Sort 3476, 11, 20/11, 3, -0.09 in decreasing order.
3476, 11, 3, 20/11, -0.09
Put -24, 0, -11071 in ascending order.
-11071, -24, 0
Sort 2, 5, 3, 0, -2240, 11 in descending order.
11, 5, 3, 2, 0, -2240
Sort 54, -24125, 22 in decreasing order.
54, 22, -24125
Put 141, 1, 0, -1, -136659, -5 in decreasing order.
141, 1, 0, -1, -5, -136659
Sort 24/661, 2/15, -18, -0.01, -2 in descending order.
2/15, 24/661, -0.01, -2, -18
Put -46176, 0, -32 in ascending order.
-46176, -32, 0
Put 1/8, -115, -2/11, 48, -1 in decreasing order.
48, 1/8, -2/11, -1, -115
Sort -2, 0.3, -1/3, 0, -4/3, -799 in ascending order.
-799, -2, -4/3, -1/3, 0, 0.3
Put 5/8, 5, 2.81, -0.6, -2 in decreasing order.
5, 2.81, 5/8, -0.6, -2
Sort 0.0267, 0.18, 3, 0, 2/29, 29 in decreasing order.
29, 3, 0.18, 2/29, 0.0267, 0
Put -1, 50, 25, -161 in descending order.
50, 25, -1, -161
Sort 764, -0.2, 14/17, 0, 88 in ascending order.
-0.2, 0, 14/17, 88, 764
Sort -0.25, 61235, 13 in decreasing order.
61235, 13, -0.25
Sort 3, -51820409, -3, 0 in descending order.
3, 0, -3, -51820409
Sort -2065, 849, 0.5 in descending order.
849, 0.5, -2065
Put 2, -514, -0.5, 1, -117, -1 in ascending order.
-514, -117, -1, -0.5, 1, 2
Put 133, -4, -5500 in decreasing order.
133, -4, -5500
Put 2/3, -4530, -0.4, -47 in ascending order.
-4530, -47, -0.4, 2/3
Sort -0.436, 222/11, 0.1, 0.3.
-0.436, 0.1, 0.3, 222/11
Put 0.3, -129, -289.2, 1 in decreasing order.
1, 0.3, -129, -289.2
Sort -25, 522, 107 in decreasing order.
522, 107, -25
Sort -12616, 0, 36.
-12616, 0, 36
Sort -2, 15, 148, -393, 8 in increasing order.
-393, -2, 8, 15, 148
Sort 3, -6922, 1513 in ascending order.
-6922, 3, 1513
Sort 55, 1, -70, -4, -7, 5.
-70, -7, -4, 1, 5, 55
Put -3, -9.03192, 384 in descending order.
384, -3, -9.03192
Sort -65, 1, 62, 23, 11.
-65, 1, 11, 23, 62
Sort 1/8, -1/3, 88/12267 in ascending order.
-1/3, 88/12267, 1/8
Sort -7, 3, 1525, 46 in ascending order.
-7, 3, 46, 1525
Put 9, 4, -2, 112045, -4 in descending order.
112045, 9, 4, -2, -4
Sort -3, -3742, -4, 4, 67 in decreasing order.
67, 4, -3, -4, -3742
Sort 237, 1, 2, 0.184, -9 in descending order.
237, 2, 1, 0.184, -9
Put 15, -3, 30, -1, 1, -8, 2 in decreasing order.
30, 15, 2, 1, -1, -3, -8
Sort 1, 46, -6, 2032, 2 in increasing order.
-6, 1, 2, 46, 2032
Sort -3183/913, -0.5, 1.4 in increasing order.
-3183/913, -0.5, 1.4
Put -332/97, 1209, -0.1 in ascending order.
-332/97, -0.1, 1209
Sort -0.1, 7647, 3/544, 6 in decreasing order.
7647, 6, 3/544, -0.1
Put 4, -2, -6, 0, 2, 4637, 1 in ascending order.
-6, -2, 0, 1, 2, 4, 4637
Sort -2, -145, 59, -72 in descending order.
59, -2, -72, -145
Sort -77, -3, -76, 35, -135.
-135, -77, -76, -3, 35
Put 13, -4, 3, 238469, -5 in increasing order.
-5, -4, 3, 13, 238469
Put -1, 4, 3, -29, -329, 1 in increasing order.
-329, -29, -1, 1, 3, 4
Sort -315, 5, -28, -4, 18, -21 in decreasing order.
18, 5, -4, -21, -28, -315
Sort 229, 3, 1/3, 89273.
1/3, 3, 229, 89273
Sort 476, -4, 14, 0, -62, -1 in descending order.
476, 14, 0, -1, -4, -62
Put -4, 23, -2, 19, -1, 223, -113 in decreasing order.
223, 23, 19, -1, -2, -4, -113
Put 4, 19, 1444, -100, 7 in descending order.
1444, 19, 7, 4, -100
Sort 2/11, -187, -981 in descending order.
2/11, -187, -981
Sort 8, 0, -115, -9631, 5.
-9631, -115, 0, 5, 8
Sort -2062, -5, 955 in descending order.
955, -5, -2062
Put 816, 0.2, 1/98, -4/11 in descending order.
816, 0.2, 1/98, -4/11
Put -7123918, 5, -2 in decreasing order.
5, -2, -7123918
Sort 3, -179, 7, 9, -333 in decreasing order.
9, 7, 3, -179, -333
Sort -2/55, 1, -1, 2/5, -42603.
-42603, -1, -2/55, 2/5, 1
Sort 406, 5798, -3 in decreasing order.
5798, 406, -3
Put -15, 4, 3, 112, -38, -2, 2 in increasing order.
-38, -15, -2, 2, 3, 4, 112
Sort -8, 2, 7, -2147, 0.1, 52/3.
-2147, -8, 0.1, 2, 7, 52/3
Sort -9, -1, 29, -4970, 3 in increasing order.
-4970, -9, -1, 3, 29
Sort 3866, -1/4, -4, -0.7, -6.
-6, -4, -0.7, -1/4, 3866
Sort -10, 11, -4, -10.8, 5/4, -27.8 in descending order.
11, 5/4, -4, -10, -10.8, -27.8
Sort -1, 2, 163453 in increasing order.
-1, 2, 163453
Put -54, -4, -1641, -15 in decreasing order.
-4, -15, -54, -1641
Sort -44, 0, -3, -2, -241 in increasing order.
-241, -44, -3, -2, 0
Sort -49, 6, -5, -133, -3, 1 in descending order.
6, 1, -3, -5, -49, -133
Sort -1, -25, 26, -2, -1014, 4.
-1014, -25, -2, -1, 4, 26
Put 1/5, 4, 3/16, 2651.85, -3/2 in ascending order.
-3/2, 3/16, 1/5, 4, 2651.85
Put -4/9, -1, -0.5, -15, 1, 0.46 in descending order.
1, 0.46, -4/9, -0.5, -1, -15
Put 1, 22, 4, -4, -2, -42 in increasing order.
-42, -4, -2, 1, 4, 22
Sort -25, 5, -1/12, 2.03, 1 in descending order.
5, 2.03, 1, -1/12, -25
Sort 1, 5, 3036, 191 in decreasing order.
3036, 191, 5, 1
Put 9, -3/5, -3, -0.076907 in descending order.
9, -0.076907, -3/5, -3
Put 4, -4, 98, 5, 2, 10037 in decreasing order.
10037, 98, 5, 4, 2, -4
Put 982, -5, 4, 612 in increasing order.
-5, 4, 612, 982
Put 4, -45, -3, -187, -5, -4, 5 in increasing order.
-187, -45, -5, -4, -3, 4, 5
Put -25700, 1, 4, 2, 18 in descending order.
18, 4, 2, 1, -25700
Sort -1, -102148, -41, 0, -2 in ascending order.
-102148, -41, -2, -1, 0
Sort -243, 287577, -4 in descending order.
287577, -4, -243
Put 1, 16, 20320 in increasing order.
1, 16, 20320
Sort -1, -62/453, 0.3, -0.3, -0.019 in decreasing order.
0.3, -0.019, -62/453, -0.3, -1
Sort 0, -3, 14654468, 3 in increasing order.
-3, 0, 3, 14654468
Sort -3, -4, 7, -5, 695709.
-5, -4, -3, 7, 695709
Sort 5, 540, -0.4, -27.
-27, -0.4, 5, 540
Sort -13, 1/59, 22/9, 1 in ascending order.
-13, 1/59, 1, 22/9
Put -2, 51, 5, 3, 0, 90, -18 in ascending order.
-18, -2, 0, 3, 5, 51, 90
Put 0.1, -9/41182, -0.1 in ascending order.
-0.1, -9/41182, 0.1
Sort -4, 5, 16626, 3, 26 in increasing order.
-4, 3, 5, 26, 16626
Sort 6, -232, -4, 11, -2 in decreasing order.
11, 6, -2, -4, -232
Put -12, -3, 2, 1/2, -0.014, 144 in descending order.
144, 2, 1/2, -0.014, -3, -12
Sort -4, -3, 22, 2, -27, -5.
-27, -5, -4, -3, 2, 22
Sort 3, -163, 7, 0, 4, 145 in decreasing order.
145, 7, 4, 3, 0, -163
Sort -2, -27, -359, 16, -4, 3, 1 in decreasing order.
16, 3, 1, -2, -4, -27, -359
Sort 384, -21/5, -0.057, 0 in decreasing order.
384, 0, -0.057, -21/5
Sort 8, -4, 283408, 5, -2 in descending order.
283408, 8, 5, -2, -4
Sort 2, -9300, 3, -514 in increasing order.
-9300, -514, 2, 3
Sort 2, -2, -4, 60, 13, -1, 5 in ascending order.
-4, -2, -1, 2, 5, 13, 60
Sort 66479, -6/25, 5, 4/5, -3 in descending order.
66479, 5, 4/5, -6/25, -3
Sort 115, 123, -8, 5, -4, -1.
-8, -4, -1, 5, 115, 123
Put 3, -10868/239, 0.01, 0.06 in descending order.
3, 0.06, 0.01, -10868/239
Sort -80, 6, 5, 321, -43, 1 in ascending order.
-80, -43, 1, 5, 6, 321
Put 2, 56396, -46 in decreasing order.
56396, 2, -46
Sort -5, -1481, 11, 761, 0.
-1481, -5, 0, 11, 761
Sort -6, -12, -9, 0, -4, 7, -2 in descending order.
7, 0, -2, -4, -6, -9, -12
Put -4, 2, 30, -1, 14, 0, 68 in incr
|
{
"pile_set_name": "DM Mathematics"
}
|
e form l*c**2 + p*c + r*c**3 + s and give l.
1
Express (-3 + 3 - 4*n)*(52 - 544 + 165 - 190 - 147) in the form t*n + l and give l.
0
Express -59*s**4 + s + 1 - 26*s**2 + 27*s**2 - s + 10*s**3 + 64*s**4 as v*s**3 + z*s**4 + k + y*s**2 + f*s and give v.
10
Express 327*r**4 - 6*r + 2*r - 3 - 335*r**4 - r**3 in the form b + a*r**2 + l*r + o*r**3 + y*r**4 and give b.
-3
Rearrange 0*b - b + 2*b + (0 + 3 - 1)*(-2*b + 2*b - 2*b) - 3*b - 2*b + 4*b + 2*b - 3*b - 2*b + 168*b + 878*b + 764*b + 1693*b + 784*b to f + d*b and give d.
4280
Rearrange (0*r - 2*r + 5*r)*(-967 - 76*r + 967) to y*r + u*r**2 + o and give u.
-228
Rearrange (582 + 744*r - 582)*(2 + 2 - 5 + (3 + 1 - 3)*(-2 + 3 - 2)) to p + o*r and give o.
-1488
Rearrange -3*w**4 + w + 158*w**3 - 2*w - 143*w**3 + 3*w**2 to t*w + b*w**4 + s*w**3 + x*w**2 + k and give b.
-3
Rearrange (2*g + g**2 - 2*g)*(2 + 0 + 4)*((10*g - 7 + 7)*(0 - 1 + 0) - 9 + 9 - 4*g) to the form p*g**2 + t*g**3 + s + l*g and give t.
-84
Rearrange 605*d + 79*d - 29*d + 578*d to the form r*d + p and give r.
1233
Rearrange -200*s - 199*s - 196*s - 39 + 589*s to m + x*s and give x.
-6
Express -580*p**2 - 1129*p**2 + 0 + 0 as d*p**2 + l*p + b and give d.
-1709
Express 5*w**2 + 19*w**2 + 122 - 156 in the form x*w + z + o*w**2 and give z.
-34
Express -44*k + 3*k + 11*k in the form y + u*k and give y.
0
Express 245*m**2 + 210*m - 210*m in the form v*m**2 + q + k*m and give v.
245
Express d**3 - d**3 - d**3 + ((-d - 4 + 4)*(3*d - d - d) - 7 + 7 + 3*d**2)*(-4*d + 5*d - 3*d) in the form i + o*d**3 + v*d**2 + z*d and give o.
-5
Rearrange (0 - 3 + 5)*(-4 + p + 4) - 3*p - 2*p + 2*p - 1 + 1 - 5*p + (3 + 2 - 4)*(p - 2*p - p) - 5*p - p - 2*p to u*p + b and give u.
-16
Express g**2 - 6 + 2 + 2*g + 12*g**4 + 6*g**4 - 10*g**4 as f + d*g**2 + l*g**3 + z*g + b*g**4 and give b.
8
Express -3556 + 2*p**3 + 3649 - 2*p + p**3 as x*p + f*p**3 + y + r*p**2 and give y.
93
Rearrange -52*z**2 - 140*z - 47*z**2 - 49*z**2 + 200*z**2 + 1 - 50*z**2 to the form q*z**2 + b*z + v and give b.
-140
Rearrange (-538*z + 286902 - 286902)*(-z + 2*z - 2*z) - 2*z**2 + 6*z**2 - 3*z**2 to the form i + f*z + w*z**2 and give w.
539
Express -12*i + 27 + 42 - 53 + 2*i as k*i + w and give k.
-10
Rearrange (-207*r**2 + 36*r**2 - 498*r**2)*(-2 - 2 - 2)*(-2*r + 0*r + 0*r) to w*r**3 + m*r + y*r**2 + u and give w.
-8028
Express -10*d**2 - 2*d**3 - 953*d - 78 + 953*d + 9*d**2 as i*d**2 + t + z*d**3 + l*d and give z.
-2
Rearrange (-6884 + 40*v + 6884)*(-1 + 2 + 1)*(-2 - 2 + 2) to c*v + g and give c.
-160
Express (4*u**2 - 396*u + 210*u + 258*u)*(4*u**2 - 2*u**2 - 3*u**2) in the form h + y*u**3 + a*u**4 + r*u + f*u**2 and give a.
-4
Rearrange ((-h - 2 + 2)*(1 - 5 + 2) + 3 + 3*h - 3)*(-4 + 2 - 4) + (-h + 2 - 2)*(-3 - 5 + 0) to the form t + z*h and give z.
-22
Rearrange 113*p + 19*p + 52*p + 161*p + 109*p to b + w*p and give w.
454
Express (-1 - 3 + 3)*(-3*q - q + 6*q)*((2 + 2 - 1)*(-9 + 0 + 0) + 2 - 8 + 11) as l + x*q and give x.
44
Rearrange -29976 + 412*u + 29976 to n*u + w and give n.
412
Rearrange (-w**2 - 3*w**2 + 3*w**2)*(-327*w - 1439 + 1439 + (-2*w + 0 + 0)*(0 - 1 + 0)) to b + n*w**2 + i*w**3 + y*w and give y.
0
Rearrange 7*l**2 - 21*l**2 + 2 + 20*l**2 - 4 - 54*l**3 to j*l**2 + p + b*l + v*l**3 and give j.
6
Rearrange -16*t - 104*t - 130*t to the form n + y*t and give y.
-250
Express 11*r**3 - 1 + 6*r**4 - 5*r**3 - r - 8*r**4 - 7*r**2 - 7*r**3 in the form d*r**4 + h + i*r**3 + s*r + j*r**2 and give i.
-1
Rearrange (g - g - 3*g**3)*(-g + g + 2*g) + (-4 + 4 - 2)*(-3*g + g + 10*g)*(-3*g**3 - 6*g**3 - 5*g**3) to u*g**3 + l + b*g**4 + h*g**2 + o*g and give b.
218
Rearrange -652*z + 30 - 25 - 5 to l + a*z and give a.
-652
Rearrange -3 - f**2 - 12 + 0*f**2 + 0*f**2 + 3*f to h*f**2 + p*f + d and give h.
-1
Rearrange ((0 + 1 + 1)*(-4*g - 4*g + 6*g) - 3*g - 3*g + 5*g + 2*g - 1 + 1 - 2*g + 3*g + 0*g + g + 2*g - 4*g)*(1 - 3 + 0) to a + x*g and give x.
6
Rearrange u**2 + u + 11*u**3 - 5*u**4 - 5*u**2 - 2 + 7*u**2 - 9*u**3 - 5*u**2 to o + t*u + f*u**4 + g*u**2 + b*u**3 and give b.
2
Express 2 - 6338*y - y**4 + 2*y**4 + 6362*y in the form r*y + h*y**3 + w*y**4 + v + s*y**2 and give w.
1
Rearrange -3*t**3 + t**3 + 27863*t + 18*t**4 - 27868*t - t**2 to z*t**2 + q*t**4 + f + h*t + k*t**3 and give h.
-5
Express (g**3 - 5*g**3 + 2*g**3)*(-1673 + 3151 + 1278) as x + f*g**3 + z*g**2 + u*g and give f.
-5512
Express -85*u - 5*u**2 + 3*u**2 + u**4 + 135*u + 4 - 53*u as v + g*u**4 + s*u**3 + t*u**2 + k*u and give g.
1
Express 102 + 36 - 84 + 6*q**2 - 7*q**2 as s*q**2 + w*q + f and give s.
-1
Express 2*b**4 - 2*b - b + 8 - 8 - 2 - 2*b**3 as n*b**2 + p + l*b**3 + r*b + x*b**4 and give p.
-2
Rearrange 7*a**2 - 3*a**2 - 4*a**3 + a**2 - a**4 - 4*a**2 + 6*a**3 + 3 to n + i*a**4 + l*a**3 + t*a + h*a**2 and give l.
2
Express -128*x**3 + 11*x**3 - 150*x**3 + (1 + 2*x - 1)*(5*x**2 - 4*x**2 - 3*x**2) in the form y + s*x + z*x**2 + k*x**3 and give k.
-271
Express (15*d**2 - 253*d - 68*d**2 + 251*d)*(2*d - d**2 - 2*d) as o*d + q*d**4 + u + j*d**3 + c*d**2 and give q.
53
Express -3 + 45*l + 3 + 98*l - 61*l in the form a + u*l and give u.
82
Express 167*w**2 - 339*w**2 + 172*w**2 - 2*w**3 + 94 in the form t + j*w**3 + f*w**2 + n*w and give j.
-2
Express -1241*s + 981*s + 636*s - s**3 in the form p*s**3 + u + l*s + k*s**2 and give p.
-1
Express -10*k**4 + 44*k**3 + 4*k**4 - 33*k**2 - 2 - 23*k**3 - 19*k**3 in the form h*k**2 + i + b*k**3 + r*k**4 + v*k and give r.
-6
Express -1 - 3*s**3 - 2840*s**2 + 3*s + 2*s**4 + s**3 + 2841*s**2 in the form m + t*s + n*s**2 + z*s**4 + w*s**3 and give z.
2
Express -88*x - 136*x - 34*x + 38*x in the form i + k*x and give k.
-220
Express (-5*r - 12*r + 2*r)*(0 - 1 - 1) + 5*r + 2*r + 5*r in the form x + d*r and give d.
42
Express 29 - 12*q - 13 + 3*q**4 + 10*q**2 - 12 - 4 in the form h*q**3 + m + p*q**2 + l*q**4 + u*q and give p.
10
Express 34*f + 193*f + 139*f - 83*f + 141*f + 0*f + 2*f - 4*f + (4 - 3 - 3)*(-3*f + 2*f + 4*f) in the form t + c*f and give c.
416
Rearrange 18 - 4*g**2 - 57 + 2*g**2 to the form j + p*g**2 + v*g and give p.
-2
Express t**4 + t**2 + 1451*t - 12 - 726*t - 3*t**4 - 730*t in the form x*t**3 + o*t + i*t**4 + q + h*t**2 and give h.
1
Express -5722*k - 142*k**2 + 2860*k + 2862*k as g*k**2 + j + m*k and give g.
-142
Express -41*s**4 + 19 - 17 + 43*s**4 + s - 2*s**3 in the form x + n*s**3 + k*s**2 + u*s + c*s**4 and give u.
1
Express 0*z**4 + 0*z - 4*z - 3*z + 66*z**3 - 1 - 3*z**4 + 5*z in the form t*z**4 + n*z**2 + h*z**3 + q*z + b and give t.
-3
Express (q**2 - 6*q**2 + 7*q**2)*(0*q - 2*q + q + 2*q**2) + 4*q**4 + q**4 + 4*q**4 in the form f*q**3 + y + v*q**2 + p*q**4 + m*q and give p.
13
Express (3*r - 4*r - 2*r)*(-r + 0*r + 3*r + (6 + 4 - 3)*(2*r + 3*r - 2*r)) in the form m*r + b*r**2 + s and give s.
0
Express -2 - 9*j**2 + 7*j**2 + 6 + 15*j**3 + 0 in the form s + c*j + x*j**2 + w*j**3 and give s.
4
Rearrange -y - 2 + 197*y**2 - 226*y**2 + y - 297*y**2 to the form d*y**2 + b + j*y and give d.
-326
Express 450*g**3 - 227*g**3 - g**2 - 6 - 226*g**3 as a*g + c*g**2 + k*g**3 + h and give k.
-3
Rearrange -p**3 - 2 - 4 - 9 - p**3 + 18 - 17*p**2 - p**4 to g*p**3 + t + u*p**2 + y*p + m*p**4 and give m.
-1
Rearrange 2*k**4 - 2*k**2 - 599*k + 5 + 302*k + 3*k**2 + 300*k to the form o*k**4 + v*k + m*k**2 + f*k**3 + d and give d.
5
Express 5*k - 3*k + k + (1 - 2 + 4)*(0*k + 3*k - 2*k) in the form n*k + j and give n.
6
Rearrange -73 + 2108*b - 65 + 138 to the form w + o*b and give o.
2108
Rearrange -14*m - 18*m + 4*m**2 - 11*m - m**3 + 10*m**4 + 43*m to d*m**2 + q*m**4 + n*m**3 + f + x*m and give n.
-1
Express (6*d - d + 7*d)*(0 - 4 + 3) - d - 4*d + 9*d as m + n*d and give n.
-8
Express ((4 - 3 + 1)*(-12 + 11 - 7) - 1 + 2 + 8)*(0*i**2 + 5*i**2 - 4*i**2)*(-i + 3*i + i) as o*i**3 + h*i**2 + b + s*i and give o.
-21
Express (3 - 2 + 2)*(-90 - 68 + 3 - 131)*(-2*v + 2*v - 2*v) in the form o*v + r and give o.
1716
Rearrange 4*p + 2*p**4 - 4*p + 203*p**2 - 2*p - 201*p**2 - p**3 to s*p**3 + f*p**4 + i*p + d*p**2 + j and give i.
-2
Rearrange (-2*f + 23 + 10 - 28)*(8 + 0 - 2 + 1 + 1 - 1 + 0 - 1 + 3 + (-4 + 3 + 2)*(-3 + 3 - 2) - 4 + 2 + 4) - 3*f - f + 2*f to a + i*f and give a.
45
Express (-2*v**3 + 2*v**3 - 2*v**3)*(1 + 0 + 3)*(2 - 18 + 4)*(v + 4*v - 3*v) + 10*v**4 + 6*v - 6*v in the form y*
|
{
"pile_set_name": "DM Mathematics"
}
|
y + 15981
What is the d'th term of -147, -565, -1243, -2193, -3427, -4957, -6795, -8953?
-2*d**3 - 118*d**2 - 50*d + 23
What is the w'th term of -147587969, -147587967, -147587965, -147587963?
2*w - 147587971
What is the n'th term of 106663, 213140, 319617, 426094?
106477*n + 186
What is the i'th term of 26240, 104763, 235612, 418793, 654312?
i**3 + 26157*i**2 + 45*i + 37
What is the r'th term of -274813833, -549627667, -824441501, -1099255335, -1374069169?
-274813834*r + 1
What is the a'th term of 9970, 9479, 8988, 8497, 8006, 7515?
-491*a + 10461
What is the y'th term of -279938, -559905, -839872, -1119839, -1399806?
-279967*y + 29
What is the n'th term of -16618, -66656, -150044, -266776, -416846?
n**3 - 16681*n**2 - 2*n + 64
What is the r'th term of 399587, 798007, 1196427, 1594847, 1993267?
398420*r + 1167
What is the w'th term of -625031, -1249662, -1874293, -2498924?
-624631*w - 400
What is the h'th term of 41724, 49528, 57342, 65172, 73024?
h**3 - h**2 + 7800*h + 33924
What is the z'th term of -156850838, -156850836, -156850834, -156850832, -156850830?
2*z - 156850840
What is the a'th term of -2634024, -5268037, -7902050, -10536063?
-2634013*a - 11
What is the b'th term of 6960, 7449, 7938, 8427?
489*b + 6471
What is the y'th term of 4495182, 17980736, 40456664, 71922966, 112379642, 161826692, 220264116?
4495187*y**2 - 7*y + 2
What is the h'th term of 140636, 136577, 132518, 128459, 124400, 120341?
-4059*h + 144695
What is the y'th term of 9461295, 18922586, 28383877, 37845168, 47306459, 56767750?
9461291*y + 4
What is the t'th term of -3083628, -6167263, -9250886, -12334491, -15418072?
t**3 - 3083642*t + 13
What is the m'th term of 8140, 26951, 45774, 64615, 83480?
m**3 + 18804*m - 10665
What is the h'th term of 284996091, 284996089, 284996087, 284996085, 284996083, 284996081?
-2*h + 284996093
What is the a'th term of 3181, 6241, 9149, 11911, 14533, 17021, 19381, 21619?
a**3 - 82*a**2 + 3299*a - 37
What is the m'th term of -3243286, -3243367, -3243454, -3243541, -3243622, -3243691, -3243742?
m**3 - 9*m**2 - 61*m - 3243217
What is the w'th term of 55439, 110891, 166361, 221849, 277355, 332879?
9*w**2 + 55425*w + 5
What is the u'th term of -214392, -214397, -214402?
-5*u - 214387
What is the y'th term of 272938, 272915, 272894, 272875?
y**2 - 26*y + 272963
What is the g'th term of 381318, 381356, 381394, 381432, 381470, 381508?
38*g + 381280
What is the s'th term of -9610891, -19221848, -28832805?
-9610957*s + 66
What is the j'th term of -11661, -26178, -40689, -55188, -69669, -84126, -98553?
j**3 - 3*j**2 - 14515*j + 2856
What is the t'th term of -54469, -54611, -54729, -54823?
12*t**2 - 178*t - 54303
What is the w'th term of -5050, -40456, -136558, -323704, -632242, -1092520?
-5058*w**3 + 8
What is the x'th term of 308, 906, 2132, 4316, 7788?
55*x**3 - 16*x**2 + 261*x + 8
What is the q'th term of 24788, 99665, 224460, 399173?
24959*q**2 - 171
What is the n'th term of -427575231, -427575230, -427575229, -427575228?
n - 427575232
What is the m'th term of 7054207, 7054290, 7054373, 7054456, 7054539, 7054622?
83*m + 7054124
What is the j'th term of 1012, 11530, 40068, 95632, 187228, 323862, 514540, 768268?
1501*j**3 + 4*j**2 - j - 492
What is the l'th term of -2904, -12181, -27630, -49239, -76996, -110889?
2*l**3 - 3098*l**2 + 3*l + 189
What is the s'th term of -6834698, -6834709, -6834720, -6834731, -6834742?
-11*s - 6834687
What is the r'th term of -136, -423, -1054, -2197, -4020, -6691?
-28*r**3 - 4*r**2 - 79*r - 25
What is the g'th term of 143, 635, 1413, 2477?
143*g**2 + 63*g - 63
What is the t'th term of 14688062, 29376129, 44064196, 58752263, 73440330, 88128397?
14688067*t - 5
What is the i'th term of -2505, -2829, -3701, -5391, -8169, -12305?
-45*i**3 - 4*i**2 + 3*i - 2459
What is the y'th term of -154166338, -308332675, -462499012, -616665349, -770831686, -924998023?
-154166337*y - 1
What is the p'th term of -929322, -929323, -929324, -929325, -929326, -929327?
-p - 929321
What is the q'th term of 1774, 14427, 48862, 115975, 226662, 391819?
1816*q**3 - 5*q**2 - 44*q + 7
What is the p'th term of 138800, 277534, 416162, 554630, 692884?
-9*p**3 + p**2 + 138794*p + 14
What is the q'th term of 616782, 616426, 616068, 615708, 615346, 614982?
-q**2 - 353*q + 617136
What is the q'th term of -155, 9783, 36759, 89293, 175905, 305115?
1420*q**3 - q**2 + q - 1575
What is the j'th term of 182931, 182944, 182965, 183000, 183055, 183136, 183249?
j**3 - 2*j**2 + 12*j + 182920
What is the f'th term of -1759, -356, 1071, 2534, 4045, 5616, 7259, 8986?
2*f**3 + 1389*f - 3150
What is the w'th term of -1505693, -3011370, -4517047, -6022724, -7528401, -9034078?
-1505677*w - 16
What is the b'th term of -155900, -155911, -155948, -156023, -156148, -156335, -156596?
-2*b**3 - b**2 + 6*b - 155903
What is the f'th term of 2272823, 4546155, 6819487?
2273332*f - 509
What is the o'th term of -32220, -37024, -41828, -46632, -51436?
-4804*o - 27416
What is the w'th term of -1811407, -3622810, -5434215, -7245622, -9057031?
-w**2 - 1811400*w - 6
What is the i'th term of -95558, -95852, -96146, -96440?
-294*i - 95264
What is the b'th term of 7400, 14658, 21764, 28718, 35520, 42170, 48668?
-76*b**2 + 7486*b - 10
What is the f'th term of -579993, -2319961, -5219907, -9279831, -14499733?
-579989*f**2 - f - 3
What is the b'th term of -77370004, -154740018, -232110032?
-77370014*b + 10
What is the o'th term of 960, 3882, 8720, 15474?
958*o**2 + 48*o - 46
What is the t'th term of 101646, 200363, 299080?
98717*t + 2929
What is the l'th term of -65278, -130522, -195766, -261010?
-65244*l - 34
What is the s'th term of -733, -672, -513, -214, 267?
7*s**3 + 7*s**2 - 9*s - 738
What is the a'th term of -16966, -34063, -51148, -68215, -85258, -102271, -119248, -136183?
a**3 - 17104*a + 137
What is the j'th term of -603, -1280, -1989, -2730, -3503, -4308?
-16*j**2 - 629*j + 42
What is the b'th term of -106526, -209244, -311962?
-102718*b - 3808
What is the m'th term of 1870, 8904, 20628, 37042, 58146, 83940?
2345*m**2 - m - 474
What is the f'th term of -15683518, -31367021, -47050500, -62733943, -78417338?
2*f**3 - 15683517*f - 3
What is the g'th term of 40889933, 81779870, 122669807?
40889937*g - 4
What is the d'th term of 20843, 20896, 21037, 21308, 21751, 22408, 23321, 24532?
7*d**3 + 2*d**2 - 2*d + 20836
What is the f'th term of 12673, 12447, 12213, 11971, 11721?
-4*f**2 - 214*f + 12891
What is the c'th term of -14191, 2724, 48643, 138068, 285501?
2417*c**3 - 4*c - 16604
What is the b'th term of -12832, -26304, -39776, -53248, -66720, -80192?
-13472*b + 640
What is the h'th term of -441623, -441630, -441637?
-7*h - 441616
What is the s'th term of -52937, -105872, -158807?
-52935*s - 2
What is the r'th term of -6526, -25032, -55520, -97990, -152442, -218876?
-5991*r**2 - 533*r - 2
What is the k'th term of 108139411, 216278822, 324418233, 432557644, 540697055?
108139411*k
What is the n'th term of -376336, -1505340, -3387014, -6021358?
-376335*n**2 + n - 2
What is the s'th term of 240, 316, 382, 444, 508?
s**3 - 11*s**2 + 102*s + 148
What is the h'th term of 59928, 59965, 60048, 60195, 60424, 60753, 61200, 61783?
3*h**3 + 5*h**2 + h + 59919
What is the y'th term of -2712, -2955, -3388, -4035, -4920, -6067, -7500, -9243?
-4*y**3 - 71*y**2 - 2*y - 2635
What is the t'th term of -2693, -2162, -1267, -14, 1591, 3542?
-t**3 + 188*t**2 - 26*t - 2854
What is the t'th term of -6255, -25202, -56781, -100992, -157835, -227310?
-6316*t**2 + t + 60
What is the l'th term of 607016, 1214115, 1821212, 2428307?
-l**2 + 607102*l - 85
What is the a'th term of -256214, -257447, -258680?
-1233*a - 254981
What is the w'th term of -3576, -2269, -962?
1307*w - 4883
What is the u'th term of 1122982, 4491831, 10106572, 17967199, 28073706, 40426087, 55024336?
-u**3 + 1122952*u**2 + 31
What is the r'th term of -47258, -189121, -425572, -756611?
-47294*r**2 + 19*r + 17
What is the t'th term of -148, -242, -560, -1102?
-112*t**2 + 242*t - 278
What is the o'th term of 31806, 31802, 31770, 31716, 31646, 31566, 31482?
o**3 - 20*o**2 + 49*o + 31776
What is the a'th term of -64576, -127855, -191134, -254413, -317692, -380971?
-63279*a - 1297
What is the w'th term of 125902, 135791, 145680, 155569, 165458, 17
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Let j be v(-4). Is (j/12)/((-1)/(-75)) a prime number?
False
Let r(s) = s**2 - 2*s - 4. Let x be r(3). Let p = 3 + x. Is p composite?
False
Suppose 4*o + 5*u = 7, 0*u = -3*o - 2*u + 7. Let q = o + 16. Is q composite?
False
Suppose 5*s = 2*l - 8203, 7*l - 2*s - 16430 = 3*l. Is l prime?
False
Suppose 3*p - 271 = -5*x + 2062, 5*p = -5*x + 2325. Is x composite?
True
Let s be 0 + (-1)/((-3)/6). Suppose 0 = 2*z - 2*h - 768, -3*z + s*h - 7*h = -1112. Is z a composite number?
False
Suppose l + 2*l - 4604 = 5*o, 4*l = 4*o + 6152. Is l a prime number?
True
Let i(j) = 2*j - 2. Let l be i(-3). Is l*(-69)/24*2 composite?
True
Suppose 0 = -3*c + 6*c - 3297. Is c composite?
True
Suppose -3*p + 19 = -x + 2*p, -19 = -3*x - 4*p. Is 10/(-10) - (x + -391) a composite number?
False
Let i(w) = 3*w - 1. Let m be i(5). Suppose -3*s + m = 4*k, 33 = 3*k + 2*k - 4*s. Suppose -5*p + 89 = a, 12 = 4*a - k*p - 244. Is a prime?
False
Is (-586)/(-10) + (-3)/5 a prime number?
False
Let z(j) = j**3 - 4*j**2 - 5*j - 3. Let o be z(5). Is o*((-177)/9 + 2) a prime number?
True
Let f be (-42)/(-9) - (-2)/6. Suppose -11 = 2*i - f, 0 = -x - 5*i - 14. Is (94 - x)*3/9 a composite number?
False
Let p(x) = 63*x + 61. Is p(16) prime?
True
Is (4/12)/((-2)/(-2286)) prime?
False
Let g(b) = 73*b - 10. Let y(c) = -72*c + 11. Let x(a) = 4*g(a) + 5*y(a). Is x(-7) composite?
False
Suppose -2 = 3*z + 4. Let b(r) = -30*r - 2. Is b(z) prime?
False
Let v be ((-2)/(-5))/((-2)/110). Let f = 110 + v. Suppose -c - 5*o = 2*c - f, 0 = -5*o - 5. Is c composite?
False
Let j(v) = v**3 + 8*v**2 + 5*v - 7. Let d(r) = -r - 4. Let x be d(-6). Suppose 3 = -x*m - 11. Is j(m) a prime number?
True
Suppose x + 3 = 8. Let f = 10 - x. Suppose -f*y - 5*w + 130 = 0, -3*y + 8*y = -4*w + 126. Is y prime?
False
Let v = 36 + -12. Let u be 3 + 1 - 3/3. Is v - -2*u/6 composite?
True
Is (30/(-20))/((-6)/2132) prime?
False
Is (-1)/((-4167)/1041 - -4) prime?
True
Suppose 4*t + 2*s = 12, 5*s - 3 - 22 = -5*t. Let r(g) = 97*g**2 - g + 1. Is r(t) prime?
True
Let p(b) = -2*b**3 - 6*b**2 - 7*b - 7. Is p(-4) a prime number?
True
Let f(y) = -3 - 1 + y + 3*y**2 + 5*y**3 - 5*y. Let t(z) = 11*z**3 + 7*z**2 - 9*z - 9. Let k(u) = -7*f(u) + 3*t(u). Is k(-2) a prime number?
False
Suppose 0 = 2*m + 2*m - 24. Let i(u) = u**2 + 4*u. Let w be i(m). Suppose -4*y + 64 + w = 0. Is y prime?
True
Let w(m) = m**2 + 2*m - 2. Let y = 8 + -4. Let u be w(y). Suppose -4*c + 34 = -u. Is c a composite number?
True
Suppose g - 3*g + 5*o + 164 = 0, -2*o - 4 = 0. Is g prime?
False
Suppose 4*q - 2 = 2. Let s be q*(0 + 2) + -11. Let n = 32 + s. Is n composite?
False
Suppose 0 = -k - 4*b + 19, 0 = 2*k - 4*b + 6 + 4. Suppose f = -k*p + 36 - 2, 5*p = -3*f + 102. Is f prime?
False
Let t(x) = 7*x - 3. Let u be t(5). Suppose 0 = -2*s + u + 42. Is s a prime number?
True
Let p(w) = -4*w + 3. Let v be p(2). Let u be -3 - v - (2 + 0). Suppose 4*f + f - 175 = u. Is f a prime number?
False
Let k(s) = -s + 1. Let z be k(-6). Let a = z - 7. Suppose a*m + 5*m = -2*f + 543, -792 = -3*f - 3*m. Is f prime?
False
Let f = 39 + -10. Suppose -4*m = -1 + f. Is 2 - m - 1/(-1) prime?
False
Let p be (16/12)/(2/3). Let d be ((-142)/(-4) + 0)*p. Let i = d - 34. Is i a composite number?
False
Let g(k) = -k**2 + 3*k - 3. Suppose o - 7 = -o - x, -3*x = 5*o - 18. Let h be g(o). Is (-3 - 35)/(h + 1) a prime number?
True
Let l = 478 + -27. Is l prime?
False
Suppose 8816 = 5*p + 1701. Is p composite?
False
Is 1 - ((-2 - -3) + 98)*-4 a composite number?
False
Suppose -3*f + 2 + 7 = 0. Suppose f*p - 84 - 33 = 0. Is p composite?
True
Suppose 5*o = 2*o - 294. Let h = -102 + 87. Let f = h - o. Is f composite?
False
Let k be -2 + 2 + (-1 - -4). Suppose -3*q + 3*u - 12 = 0, 0 = -u - k. Let y = 3 - q. Is y composite?
True
Suppose 0 = o - 0*o - 239. Suppose -4*h = -12, 2*h = -5*u + 4*h + o. Is u a prime number?
False
Is (2/(-5 - -3))/(5/(-1945)) a prime number?
True
Let m(s) = 2*s + 19. Let g be m(-10). Let z be ((-6)/(-4))/3*0. Is g*(2 - (13 + z)) composite?
False
Let g(a) be the third derivative of a**5/60 + 5*a**4/24 + 5*a**3/6 - a**2. Let m = 28 - 21. Is g(m) prime?
True
Suppose 5*c - r = r + 387, -241 = -3*c - r. Is c composite?
False
Suppose -4*c + 5*c - 3*m - 644 = 0, -3*c + 4*m = -1957. Is c composite?
False
Let k(u) = 9 - 6*u + u**2 - 5*u**2 - u**3 - 4*u**2. Let m be k(-7). Suppose 4*t + 50 = 3*z, -m*t + 9 = 5*z - 57. Is z a composite number?
True
Suppose -o - 5*i + 626 = 0, -3*o - 3*i - 1291 = -5*o. Is o prime?
True
Suppose u = -2*u + 741. Is u a prime number?
False
Let z = -1010 + 1421. Suppose -3*f + 2*f - 250 = 0. Let v = f + z. Is v composite?
True
Let a(d) = 68*d + 6. Is a(5) prime?
False
Suppose -815 = 4*g + 5*h, -606 = 5*g - 2*g + 2*h. Let x = 440 - 119. Let n = g + x. Is n a prime number?
False
Let r(d) = d + 7. Let l be r(7). Suppose 2*z - 68 + l = 0. Suppose -z + 122 = 5*c. Is c a composite number?
False
Suppose 353 = 4*y + 3*w, -4*w - 632 = -5*y - 183. Let m = y - -38. Is m a composite number?
False
Suppose 0 = -f - n - 490, 2*n = 5*f + 6*n + 2445. Suppose 6*x = x - 10. Is f/(-15) - x/3 a composite number?
True
Is 62*14/4 + 0 a prime number?
False
Let y(p) = p**3 + 4*p**2 + 2. Let n be y(-3). Let g be ((-4)/(-6))/((-2)/(-12)). Let x = n - g. Is x a composite number?
False
Let p be (2 - 4)/(0 + -1). Suppose 4*w - 96 = -4*t, -4*w + t + p*t + 75 = 0. Is w a prime number?
False
Let s be 0 + (1 - 1)/3. Let l(w) = w**3 - w**2 - w + 5. Let t be l(s). Suppose 5*f - t*n = -n + 47, -5*f - 3*n = -61. Is f composite?
False
Let x be (2 - (2 - 1)) + 19. Let b(a) = -2*a**3 + 3*a**2 + a - 2. Let g be b(2). Is (-5)/x - 173/g a prime number?
True
Suppose 2*f - p - 7 = 0, p + 1 = 2*f + 2*p. Suppose 9 - 3 = -5*m - f*a, -2 = -a. Is (145/(-20))/(m/40) a prime number?
False
Is (-59)/((-3)/(-174)*(-7 + 5)) a prime number?
False
Suppose 0*r + 5*r = 245. Is r prime?
False
Let b be (2 + -1)*-4 + 0. Let l(o) = -2*o - 4. Let h be l(-3). Is h - (b*2 + 0) a composite number?
True
Suppose -r + 3 = 0, 0 = 3*h - r + 338 - 1454. Is h prime?
True
Let m be (3 + 21/(-6))*(-16)/(-8). Let c(w) = -w**2 - 2*w + 2. Let q be c(-4). Is (m/3)/(q/882) composite?
True
Let v(h) = 2*h**2 - 2*h**2 + 10*h - 11*h + 34*h**3. Is v(1) composite?
True
Suppose -5 - 13 = 3*y. Let d = -2 - y. Suppose -d*o + 57 = a, 5*a - o - 2*o = 239. Is a a composite number?
True
Let l(d) = 2*d. Let m be l(2). Suppose -j - 14 = r + 3*j, -10 = -5*r - m*j. Is (-7)/((15/r)/(-5)) prime?
False
Let v(m) be the second derivative of m**4/6 + 5*m**3/6 - m**2/2 + 5*m. Is v(-4) composite?
False
Let x(i) = 9*i**2 - 6*i + i**3 - i - 18 + 16. Is x(-5) a composite number?
True
Let o(v) be the third derivative of -v**4 - v**3/2 - 7*v**2. Is o(-3) prime?
False
Suppose -4*f = -9*f + 15. Is (8 - 2)/f - -369 composite?
True
Suppose 6*q = 11*q - 4495. Is q composite?
True
Let a(j) = -2*j - 6. Let c be a(-4). Is 1/c + (-169)/(-2) composite?
True
Let g(h) = -h**2 + 5*h - 2. Let k be g(3). Let u = 4 - 7. Let s = k - u. Is s a composite number?
False
Suppose 3*j - 508 - 227 = -5*f, 0 = -4*f - 2*j + 588. Let s = -29 - -253. Let r = s - f. Is r composite?
True
Let w = -797 + 1591. Is w a prime number?
False
Let h be 14*(3/(-6))/(-1). Suppose h*x - 4*x - 387 = 0. Is x composite?
True
Let o(b) = -b**3 + 2*b**2 - b + 3*b**2 + 0*b**2 + 3. Let x be o(5). Is 4*(-6)/(-3) - x composite?
True
Let x(d) = 50*d + 8. Let g be x(4). Let w = g + -119. Is w a prime number?
True
Suppose -2*v - 5*m = 2, -2*v - 2*v + 3*m = 56. Is (-387)/v - 10/55 composite?
True
Suppose -2 = -2*f - 0, -3*c + 5*f = -421. Is c composite?
True
Is 10/(-4)*(-11462)/55 prime?
True
Is (-20)/((-5)/1) + 537 a composite number?
False
Suppose -2*r = -2*u + 1003 + 1151, 2*u + 2*r = 2154. Is u a composite number?
True
Let l be (-7 - -6) + 2*2. Suppose -3*v + 2*x + 404 = 0, -l*x - 535 = -4*v - 4*x. Is v a prime number?
False
Let f = 0 + 5. Let z = f + -2. Is ((-21)/3)/((-1)/z) composite?
True
Let s = 218 - 129. Is s a prime number?
True
Let k = 15 + 3. Suppose -399 = -k*t + 15*t. Is t prime?
False
Let k be (60/50)/(1/(-5)). Is (879/k)/((-1)/2) a composite number?
False
Let s(j) = 3029*j + 2. Is s(1) composite?
True
Suppose -74*d + 73*d + 485 = 0. Is d prime?
False
Is (-386)/(-4) - 2/(-4) composite?
False
Is (-4)/(80/(-43468)) - 2/5
|
{
"pile_set_name": "DM Mathematics"
}
|
-39 (d) 1/6 (e) -0.3
b
What is the fourth biggest value in -5, 323, -12, -7/5?
-12
Which is the fifth smallest value? (a) -2 (b) 0.6 (c) -2/19 (d) -5 (e) -0.05 (f) -5/14
e
What is the second smallest value in -0.8, -8792, 1/8?
-0.8
Which is the smallest value? (a) 15 (b) 17 (c) 0.07
c
What is the biggest value in 5, 1/4, -189, -4?
5
Which is the fifth smallest value? (a) 471/7 (b) -7 (c) 0.4 (d) 1/7 (e) -1/5 (f) 1/2
f
Which is the fourth smallest value? (a) 0 (b) 2.7 (c) 53 (d) -0.5 (e) -0.6 (f) -1
a
What is the smallest value in 4, 284, -0.058, 2?
-0.058
Which is the third biggest value? (a) 0.2 (b) -2/3 (c) -2.68 (d) 0.16 (e) 0.4
d
Which is the fourth smallest value? (a) -45 (b) 3 (c) -21 (d) -5 (e) 3/2 (f) 1
f
What is the third biggest value in -1/3, 1/5, 53/71?
-1/3
Which is the fourth smallest value? (a) 21 (b) 3 (c) -4 (d) 101
d
Which is the third biggest value? (a) 0.5 (b) 3/8 (c) 606 (d) 2/5
d
What is the fifth smallest value in -2/7, 1, 3, -2, 413.1?
413.1
What is the fourth smallest value in 0.1, 5/2, -657.6, -1?
5/2
Which is the fourth smallest value? (a) -4 (b) 2/7 (c) 7/269 (d) 0.37
d
What is the second biggest value in -3/7, 1/2, -16722?
-3/7
What is the fourth smallest value in -3, 4.8, -2/15, 5?
5
What is the fifth biggest value in -0.4, -421, -229, -2/9, 4?
-421
What is the fourth smallest value in -0.3, 3, 1/17, 34.9, 1/2?
3
Which is the second biggest value? (a) -0.1 (b) 2 (c) 9 (d) 0.1 (e) -3
b
Which is the second smallest value? (a) 3/8 (b) 0 (c) -0.014 (d) -3
c
Which is the fourth smallest value? (a) -4 (b) -3.2 (c) -1 (d) -1.4 (e) 30
c
What is the third smallest value in -19, 8, 3, 0.05, -5, 0.3?
0.05
What is the fifth biggest value in 0.013, -4, 4, 3, -0.007, 2/27?
-0.007
Which is the second smallest value? (a) 3 (b) 0.5 (c) -3 (d) 2/21 (e) 2.8 (f) -0.037
f
Which is the biggest value? (a) -2 (b) 15 (c) 1 (d) 4 (e) -28
b
What is the second biggest value in 1/9, 138, 0.05, 1/2, 26, -5?
26
What is the smallest value in -4, 312595, 4, -3?
-4
What is the third biggest value in 154184, -8/3, -4?
-4
What is the biggest value in -2, -0.2, -2/11, -2/949?
-2/949
What is the third biggest value in 4/7, -2, -1/4, -3, 388?
-1/4
Which is the biggest value? (a) 0.362 (b) 0.03 (c) -5/3 (d) 0.66
d
Which is the second biggest value? (a) 5 (b) -9 (c) -0.1 (d) 3
d
Which is the fifth biggest value? (a) -3/8 (b) 1/2 (c) 0.09 (d) -8729 (e) 0.1
d
Which is the fourth biggest value? (a) -36 (b) 2/9 (c) -2 (d) 2/17
a
What is the smallest value in -1, 0.3, 3662?
-1
Which is the fifth smallest value? (a) -0.5 (b) 0.5 (c) -9 (d) 0.3 (e) 6385
e
Which is the third biggest value? (a) 8 (b) -2/13 (c) 4.5
b
Which is the third biggest value? (a) -1/184 (b) 1.3 (c) -1
c
Which is the third smallest value? (a) -0.24 (b) -0.3 (c) 19/10
c
Which is the fourth smallest value? (a) -1 (b) 7/3 (c) 4 (d) 2/3 (e) 10 (f) -4
b
What is the second biggest value in 1917, -3/5, 1.8?
1.8
Which is the smallest value? (a) -1/8 (b) 1 (c) -5 (d) -125/3
d
What is the third smallest value in -5, 145, 23, 1/3, 5?
5
Which is the third smallest value? (a) -3/13 (b) 9/13 (c) -4 (d) -2/15 (e) 6/11
d
What is the fifth smallest value in -1/6, -2, -1.54, 0.3, -5?
0.3
Which is the second biggest value? (a) -17 (b) -0.1 (c) 3 (d) 4/3 (e) -2/19
d
What is the biggest value in 2/123, 0.5, 1, 8?
8
Which is the smallest value? (a) 12 (b) 0 (c) -444
c
Which is the second biggest value? (a) 2 (b) 0.02 (c) 2/31 (d) 13 (e) 0
a
What is the fourth smallest value in 2542, 5, -0.2, 1?
2542
What is the fifth biggest value in 119, -2, 0.1, 4, 11?
-2
Which is the third smallest value? (a) 0.2 (b) -2/9 (c) 79 (d) 4/7 (e) 6
d
Which is the second biggest value? (a) 1/55 (b) -0.5 (c) -42
b
Which is the second biggest value? (a) -0.2 (b) -0.53 (c) -1.3
b
Which is the third smallest value? (a) 256 (b) 1 (c) 42/5
a
What is the third smallest value in 409, -6.1, 7/2?
409
What is the second smallest value in -89/5, -0.7, -22?
-89/5
Which is the third biggest value? (a) -3 (b) 27 (c) 21 (d) -6.6
a
What is the second biggest value in -4, 0.4, -54, 0.029, -3?
0.029
Which is the fourth biggest value? (a) 71 (b) -5 (c) -1/9 (d) -22 (e) -0.3
b
What is the second biggest value in 3, -5, 12, -0.1, 5, -3?
5
What is the third biggest value in 25178, -0.2, 113?
-0.2
What is the second biggest value in -4/7, 1, 0, -92/5, -4, 1/3?
1/3
Which is the second biggest value? (a) -5 (b) -4/3 (c) 298 (d) -4 (e) -8 (f) 6
f
Which is the second biggest value? (a) 14 (b) -1 (c) -0.2 (d) -3 (e) 3
e
What is the sixth smallest value in 0.1, -14, 1, 1.8, 0.2, -37?
1.8
What is the smallest value in -6, 1.3, 1/7, 53?
-6
What is the fourth biggest value in 4/11, -2/11, 0.2, 72315?
-2/11
What is the second smallest value in 3, -1/72, -95, 5?
-1/72
Which is the second smallest value? (a) -1/2 (b) -5/4 (c) -89 (d) -1
b
Which is the fourth smallest value? (a) -1/3 (b) 0.08 (c) 50 (d) -5 (e) 0
b
What is the smallest value in 1/3, -0.1, 177, 1/5, -2?
-2
What is the biggest value in 0.1, 1, 14351, 0?
14351
What is the second smallest value in -1, -5, 0, 5, 14?
-1
What is the sixth smallest value in 0, 0.5, 2/15, -120, -1, 0.4?
0.5
What is the second smallest value in 1/4, -0.0497, -0.05, -0.1, -0.8?
-0.1
What is the second biggest value in -3/2, -9/2, -0.5, 11/4?
-0.5
What is the smallest value in 4/9, -0.142, -1, 2/3?
-1
Which is the biggest value? (a) -1/2 (b) 2/5 (c) -5 (d) 87 (e) 0.09 (f) 1
d
What is the smallest value in 3, -148, 50, 1/2?
-148
Which is the second smallest value? (a) 0.9 (b) 5 (c) 2/3 (d) -1105 (e) 8/3
c
What is the second smallest value in -2, 12, 2/63, -6, 8, -4/7?
-2
Which is the second biggest value? (a) -0.01 (b) -1 (c) -1.3 (d) -0.4 (e) 0.5
a
Which is the third biggest value? (a) -0.5 (b) 79 (c) 18
a
What is the fourth smallest value in -2/7, -5, 1, -0.016?
1
Which is the smallest value? (a) 160 (b) -2246 (c) 2/5 (d) -2
b
Which is the third smallest value? (a) -0.1 (b) -0.01 (c) -2/11 (d) -1 (e) 2
a
What is the third biggest value in -5, 93, 2, -1/6, 1107?
2
What is the second smallest value in -10/9, 30.3, 1, 0.1, -2, 2/21?
-10/9
Which is the fourth biggest value? (a) -1/4 (b) 0 (c) -41 (d) 124
c
What is the sixth smallest value in -2/3, 2, -353, -0.01, 0.1, 1/19?
2
Which is the fourth biggest value? (a) 5/3 (b) 1 (c) 1/5 (d) 2893 (e) -0.2
c
What is the second smallest value in 0.4, -2, -5, -3, -2/565?
-3
What is the third smallest value in -1978, -3, 1.9, 0.5?
0.5
What is the biggest value in -0.1, -35.7, 2/7, -2.13?
2/7
Which is the second smallest value? (a) 79 (b) 16/7 (c) 3/2 (d) -6
c
What is the third biggest value in 5/4, 2/19, 1/5, -2/31, -4, 1?
1/5
What is the third smallest value in -2/5, 1/3, -5, 5, -4, -3/14?
-2/5
Which is the smallest value? (a) -7 (b) 3 (c) -0.5 (d) 1/593 (e) -0.1
a
What is the second biggest value in 6, -140, 0.01?
0.01
What is the second smallest value in -993, -5, -26?
-26
Which is the biggest value? (a) -3.82 (b) -2 (c) 0
c
What is the second smallest value in 3, -4, 2/19, -3869.8, -0.1?
-4
What is the second smallest value in 0.02, 0.5, 105.1, 0.3?
0.3
Which is the third smallest value? (a) -3 (b) -3359 (c) -39
a
What is the second biggest value in 0, 18, -6/5, 4, -8/3, 3?
4
What is the fourth biggest value in 0.03974, 0.4, -0.05, -0.2?
-0.2
Which is the third biggest value? (a) -18 (b) 3/4 (c) 277 (d) 1/3 (e) 0.2
d
What is the smallest value in 660, 1/4, -0.4, -4?
-4
Which is the smallest value? (a) 2/473 (b) -2/5 (c) -7/18 (d) -3
d
Which is the second biggest value? (a) 0.5 (b) -0.9 (c) -11/581
c
What is the smallest value in -2/15, -2.41, -0.1, -1.66?
-2.41
Which is the second biggest value? (a) 581 (b) 9 (c) 0.3 (d) 2/9
b
Which is the second biggest value? (a) 2/11 (b) -0.03 (c) -64 (d) 0.07 (e) 10
a
Which is the biggest value? (a) -0.7 (b) 0 (c) -0.5 (d) -17 (e) 4/3
e
What is the sixth smallest value in 4, 2/11, -13, -8, -0.5, 3?
4
Which is the smallest value? (a) -4 (b) -306883 (c) -2/11 (d) 4
b
Which is the second smallest valu
|
{
"pile_set_name": "DM Mathematics"
}
|
6.85
Convert 4944.764 tonnes to kilograms.
4944764
How many meters are there in twenty-one fifths of a kilometer?
4200
What is 8360.755km in meters?
8360755
Convert 121130.58ns to minutes.
0.000002018843
How many millilitres are there in fifteen quarters of a litre?
3750
How many micrometers are there in 52/5 of a millimeter?
10400
Convert 84.15353 grams to nanograms.
84153530000
Convert 27.9084ug to milligrams.
0.0279084
How many millennia are there in 0.9284056 centuries?
0.09284056
How many kilograms are there in seven eighths of a tonne?
875
Convert 2.931928 millennia to centuries.
29.31928
What is three fifths of a milligram in micrograms?
600
What is fifty-one fifths of a millimeter in micrometers?
10200
How many nanometers are there in 3/40 of a micrometer?
75
Convert 232.4926ng to kilograms.
0.0000000002324926
Convert 0.7061936g to tonnes.
0.0000007061936
What is 0.5612544l in millilitres?
561.2544
What is 25/2 of a litre in millilitres?
12500
What is 6.493583kg in tonnes?
0.006493583
What is 11/4 of a litre in millilitres?
2750
How many months are there in 3/10 of a century?
360
What is 72.53429km in nanometers?
72534290000000
What is 582.4692 minutes in hours?
9.70782
Convert 1.701001 years to decades.
0.1701001
Convert 5.803655l to millilitres.
5803.655
How many millennia are there in 7011.48 centuries?
701.148
How many nanograms are there in twenty-one halves of a microgram?
10500
Convert 96.01225 millennia to years.
96012.25
Convert 394.7481 years to decades.
39.47481
How many kilograms are there in 282278.3ug?
0.0002822783
How many microseconds are there in 0.1359062ms?
135.9062
Convert 39625.28 nanograms to kilograms.
0.00000003962528
How many litres are there in 256069.7 millilitres?
256.0697
How many millilitres are there in 59/4 of a litre?
14750
What is 48/5 of a millennium in decades?
960
How many millilitres are there in 31194.58 litres?
31194580
What is 9.179434ml in litres?
0.009179434
What is 678471.6mg in tonnes?
0.0006784716
How many grams are there in 3/10 of a kilogram?
300
What is 42/5 of a kilometer in meters?
8400
What is twenty-one quarters of a millennium in decades?
525
How many millilitres are there in 3/10 of a litre?
300
What is 3/25 of a centimeter in micrometers?
1200
Convert 91251.8 tonnes to milligrams.
91251800000000
What is 928685.4ns in seconds?
0.0009286854
How many milligrams are there in three fifths of a gram?
600
How many nanometers are there in thirty-three fifths of a micrometer?
6600
Convert 12389.98mg to tonnes.
0.00001238998
What is 1/80 of a centimeter in micrometers?
125
How many micrometers are there in 3/25 of a centimeter?
1200
Convert 0.4894854 millilitres to litres.
0.0004894854
What is 1/16 of a tonne in grams?
62500
What is fifteen quarters of a centimeter in micrometers?
37500
How many kilograms are there in 3/25 of a tonne?
120
What is 7/16 of a centimeter in micrometers?
4375
What is 77/5 of a millimeter in micrometers?
15400
How many meters are there in 3/5 of a kilometer?
600
What is five eighths of a micrometer in nanometers?
625
How many micrograms are there in 7601.121kg?
7601121000000
Convert 0.77651 centimeters to meters.
0.0077651
What is twenty-one fifths of a millennium in decades?
420
What is 25/2 of a minute in seconds?
750
What is 36838.78l in millilitres?
36838780
What is three tenths of a litre in millilitres?
300
How many nanometers are there in three tenths of a micrometer?
300
How many months are there in twenty-five halves of a year?
150
What is 41.26597g in milligrams?
41265.97
How many millilitres are there in 9.058755l?
9058.755
How many decades are there in 2877.4872 months?
23.97906
Convert 1.81194 years to months.
21.74328
What is 6/5 of a second in milliseconds?
1200
What is 57/5 of a meter in millimeters?
11400
How many milligrams are there in five eighths of a gram?
625
Convert 108.9678ml to litres.
0.1089678
How many seconds are there in 4/3 of a hour?
4800
Convert 40023.48m to centimeters.
4002348
What is 728.5336 nanometers in meters?
0.0000007285336
What is 13/8 of a millennium in months?
19500
How many micrograms are there in 3/32 of a gram?
93750
Convert 117.3912 millennia to decades.
11739.12
How many years are there in 800234.7 centuries?
80023470
What is 3/7 of a week in days?
3
How many days are there in four sevenths of a week?
4
How many millilitres are there in thirty-one halves of a litre?
15500
Convert 0.8559693 months to millennia.
0.000071330775
What is 596227.2 nanometers in millimeters?
0.5962272
Convert 39.47494ml to litres.
0.03947494
What is 9/10 of a kilometer in meters?
900
How many centuries are there in 139012.5 decades?
13901.25
Convert 6711.858 weeks to milliseconds.
4059331718400
What is 0.502668 micrograms in tonnes?
0.000000000000502668
What is eleven tenths of a milligram in micrograms?
1100
How many seconds are there in 96071.55 microseconds?
0.09607155
What is 17/2 of a centimeter in millimeters?
85
How many meters are there in 0.9320023 centimeters?
0.009320023
How many nanometers are there in 5/4 of a micrometer?
1250
What is fifty-one fifths of a millennium in centuries?
102
What is 6/25 of a litre in millilitres?
240
Convert 23.128 millilitres to litres.
0.023128
How many kilometers are there in 158981.6 micrometers?
0.0001589816
How many grams are there in 9.86753kg?
9867.53
How many months are there in 8174.63 decades?
980955.6
How many litres are there in 262146.7ml?
262.1467
What is 951856.92 milliseconds in days?
0.0110168625
How many milligrams are there in twenty-five halves of a gram?
12500
How many grams are there in 3/25 of a kilogram?
120
How many weeks are there in 3419.33634 minutes?
0.339219875
How many litres are there in 49889.38 millilitres?
49.88938
What is 9.424978cm in millimeters?
94.24978
Convert 8967.978 decades to millennia.
89.67978
How many millimeters are there in 3/5 of a centimeter?
6
How many nanograms are there in 11/2 of a microgram?
5500
What is twenty-six fifths of a litre in millilitres?
5200
How many days are there in 14.9652 minutes?
0.0103925
What is 3/10 of a microgram in nanograms?
300
How many weeks are there in 7867.90935ns?
0.000000000013009109375
How many micrograms are there in one tenth of a gram?
100000
How many grams are there in 527.3635ug?
0.0005273635
What is thirty-one fifths of a gram in milligrams?
6200
What is 0.7783331 litres in millilitres?
778.3331
How many millilitres are there in 6636.27l?
6636270
Convert 4.24931ml to litres.
0.00424931
What is 42/5 of a litre in millilitres?
8400
How many kilograms are there in fifty-one quarters of a tonne?
12750
How many litres are there in 0.3575652 millilitres?
0.0003575652
What is 646744.7 millilitres in litres?
646.7447
How many millilitres are there in 11/8 of a litre?
1375
What is 84705.32um in kilometers?
0.00008470532
How many days are there in 756480.06 microseconds?
0.00000875555625
What is 3/8 of a centimeter in micrometers?
3750
How many centimeters are there in 3/50 of a kilometer?
6000
How many millimeters are there in 6.484875um?
0.006484875
Convert 95.917m to kilometers.
0.095917
How many minutes are there in 73/3 of a day?
35040
How many months are there in twenty-one quarters of a decade?
630
Convert 4047.118kg to milligrams.
4047118000
What is 3.575208 grams in kilograms?
0.003575208
How many nanoseconds are there in 417.7065 minutes?
25062390000000
Convert 680.1027 millilitres to litres.
0.6801027
What is 6/25 of a meter in millimeters?
240
Convert 657514.5 millennia to years.
657514500
How many millimeters are there in 46/5 of a meter?
9200
What is five eighths of a centimeter in micrometers?
6250
What is 3901.21 tonnes in micrograms?
3901210000000000
Convert 6.715107 centuries to millennia.
0.6715107
What is 41324.31 micrograms in tonnes?
0.00000004132431
How many nanoseconds are there in 512058.5us?
512058500
How many millilitres are there in 42/5 of a litre?
8400
Convert 14.97555g to micrograms.
14975550
What is 1/28 of a week in minutes?
360
What is 22.84156 centuries in decades?
228.4156
How many milligrams are there in sixty-one quarters of a gram?
15250
What is sixty-one halves of a millennium in years?
30500
What is 0.6471637mm in micrometers?
647.1637
What is 7/4 of a millimeter in mi
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let p = s + l. Calculate the remainder when p is divided by 14.
7
Let k = 13262 - 11422. What is the remainder when k is divided by 905?
30
Suppose -8*d = -11*d + 12. Suppose -96 = -d*s - u - 8, -3*u + 96 = 4*s. Suppose 9*k = 3*k + 228. Calculate the remainder when k is divided by s.
17
Let r(i) be the second derivative of -3*i**5/10 + i**4/6 + i**3/6 + 6*i. Let d(l) = l**2 + 23*l + 94. What is the remainder when r(-1) is divided by d(-18)?
3
Let f be 3/(-8) + 6/16. Suppose f = 4*g - 11 + 7. Let x(o) = 31*o - 8. What is the remainder when 43 is divided by x(g)?
20
Let w = -3819 - -3903. Calculate the remainder when w is divided by 61.
23
Suppose 2*u - 14 + 8 = 0. Suppose -4*t - u*v + 70 = 0, 2*t - 48 = 4*v + v. Calculate the remainder when 2/2*(35 - 1) is divided by t.
15
Let a = 108 - 37. Let x(y) = y**3 - 3*y**2. Let z be x(3). Suppose -32*i + 78*i - 1104 = z. What is the remainder when a is divided by i?
23
Suppose -4*h + 3*o + 3519 = 0, -2*h - 105 = -2*o - 1867. Calculate the remainder when h is divided by 34.
26
Suppose 0 = -t - t - 5*i - 20, -5*t = -3*i - 12. Suppose t = w - q, -2*q = 2*w - 3*q. What is the remainder when (-3)/((-6)/40) + w is divided by 14?
6
Let f = 17 - -1. Let g be ((-12)/(-10))/(f/45). Suppose -g*s - 18 + 6 = 0, 5*p = -s + 531. Calculate the remainder when p is divided by 18.
17
Let k = 25 + 0. Suppose 0 = -k*h + 967 + 58. What is the remainder when 200 is divided by h?
36
Let r(i) be the first derivative of -5*i**2/2 + 67*i + 39. What is the remainder when 203 is divided by r(11)?
11
What is the remainder when 4/30 - ((-1525920)/6000)/(6/10) is divided by 16?
8
Let v = -11227 + 13080. Calculate the remainder when v is divided by 116.
113
Let w = -519 + 537. Let b = -71 - -49. Let o = b + 27. Calculate the remainder when w is divided by o.
3
Suppose 0 = 3*z - 3*x - 24957, -9*z + 13*z - 33272 = 2*x. What is the remainder when z is divided by 141?
139
Suppose 337 = -4*u - 139. Let q = 148 + u. Suppose 28*t + 26 = q*t. Calculate the remainder when t is divided by 7.
5
Let w(x) = 2*x**2 - 42*x + 124. What is the remainder when w(0) is divided by (-152)/(-12)*(1 - -2)?
10
Suppose u = 4*f + f + 14, 0 = -3*f - 6. Suppose 0 = -2*r - u*x + 34 + 32, -3*r + 114 = 3*x. What is the remainder when r is divided by 9?
7
Let u(z) = -z**3 + 99*z**2 + 293*z + 1512. What is the remainder when 291 is divided by u(102)?
105
Suppose 21*p = 20*p + 79. What is the remainder when p/(((-10)/70)/(8/(-14))) is divided by 64?
60
Let j = -16 - -14. Let p be 0 - 1 - (-39 + j + 2). Suppose -w + 1 + 3 = 5*o, 4*w = 2*o + p. What is the remainder when 15 is divided by w?
6
Let z(y) = -9*y**2 - 5*y + 9. Let a be z(2). Let u(v) = 2*v + 110. What is the remainder when u(a) is divided by 33?
3
Let o be (96/(-15))/((-8)/(-40)). Let l = -30 - o. Suppose -3*q - 24 = -2*n, 0*n - 3*q + 12 = l*n. What is the remainder when n is divided by 2?
1
Let o(y) = 8*y - 5 - 14*y + 20 + 5*y. Let q be o(10). Suppose -q*x = -15 - 15. Calculate the remainder when 15 is divided by x.
3
Let b(k) = k**3 - 22*k**2 - 44*k - 54. Let x be b(24). What is the remainder when 151 is divided by 22/(-4)*x/(-21)?
8
Let k = 4638 + -4607. What is the remainder when 155 is divided by k?
0
Let r = 245 - 182. What is the remainder when 1446 is divided by r?
60
Suppose -66*g + 54989 = 11454 - 37183. What is the remainder when 4908 is divided by g?
16
Calculate the remainder when 74 is divided by (4*-1)/((-684)/4959).
16
Suppose 3*q + 4*z - 392 = 0, 5*z + 29 + 566 = 5*q. Calculate the remainder when 229 is divided by q.
105
Let x(f) = f**2 + 45*f + 490. What is the remainder when x(-35) is divided by 114?
26
Suppose -2*o = -4*m + 174, -4*m + 32 = 2*o + 174. Let k = o - -116. What is the remainder when 367 is divided by k?
34
Suppose -4*p + g + 1535 = 0, 0 = 23*g - 22*g - 1. Calculate the remainder when p is divided by 37.
14
Let l(m) = m**3 + 4*m**2 - 5*m + 3. Suppose 0 = -10*r - 13 - 27. Suppose -25*h + 785 = -1490. What is the remainder when h is divided by l(r)?
22
Suppose 0 = -5*m + 3*m + 28. Suppose -4*b - 3*v + 45 = 0, 3*v - 58 = -2*b - 37. What is the remainder when m is divided by -7 + 2/((b + -6)/36)?
4
Suppose -11*t + 1043 + 13 = 0. Suppose 3*n - 678 = -5*o, -2*o + 4*n + 196 = -t. Calculate the remainder when o is divided by 14.
12
Let y = 197 - 197. Suppose y*k = 5*k - 1340. What is the remainder when k is divided by 17?
13
Suppose -w = -2*s - 158, 2*s - 10 = -4. What is the remainder when w is divided by 26?
8
Let y = 1248 + -1233. Calculate the remainder when (-236)/(-16) - (-3)/12 is divided by y.
0
Let q(m) = 2*m + 28. Let y be q(-12). Suppose -y*i - 5*f + 263 = 92, -183 = -5*i + 4*f. Calculate the remainder when (117 - 7) + (3 - 0) is divided by i.
35
Let w(t) = -2*t**2 - 101*t - 309. Calculate the remainder when 497 is divided by w(-47).
17
Let h = 39 - -104. Suppose 0 = 186*p - 198*p + 144. What is the remainder when h is divided by p?
11
Suppose 0 = 4*f - 32 + 16. Let l be f + (-2 - -3) - (4 + -2). Suppose 4*y - 2*g - 92 = -3*g, 0 = l*y + 3*g - 69. What is the remainder when 90 is divided by y?
21
Suppose 0 = -13*t + 157*t - 15330 - 20670. What is the remainder when t is divided by 15/1 + 0 + -1?
12
Let d(t) be the third derivative of t**5/60 - 5*t**4/12 + 11*t**3/6 + 2*t**2. Let s = -405 - -414. What is the remainder when 3 is divided by d(s)?
1
Suppose 48*k + 16*k - 3060 = -4*k. Let b(t) = -2*t**2 + 0*t + 7*t**3 + 0*t**2 + t. What is the remainder when k is divided by b(1)?
3
Let x(l) = 24 - l + 79 + l**2 - 19*l. What is the remainder when 49 is divided by x(6)?
11
Let v be -2 + 93/7 + (-10)/35. Suppose 18*l - 735 = v*l. Suppose -9*i - 6*i + l = 0. Calculate the remainder when 10 is divided by i.
3
Let n(c) = c**2 - 4*c - 3. Let w be n(-1). Suppose x - w*r + 58 = 5*x, 0 = -2*r + 10. Calculate the remainder when 58 is divided by ((-32)/x)/((-6)/45).
18
Let c = -6682 - -6798. Calculate the remainder when 312 is divided by c.
80
Let p = 2943 - 930. What is the remainder when p is divided by 101?
94
Let r = 299 + -145. Suppose r = -4*c + 6*c. Let i = 108 - c. Calculate the remainder when i is divided by 8.
7
Let f = 25 - 8. Suppose -4*v + 1931 = 387. Suppose -5*r + v = 4*o - 28, r = -5*o + 87. What is the remainder when r is divided by f?
14
Let r(x) = 160*x - 1395. What is the remainder when 6117 is divided by r(9)?
42
Let l(o) = -3*o**3 - 6*o**2 + 14*o + 3. Let h be l(-6). Let q = h - 276. What is the remainder when 139 is divided by q?
64
Let t be 2/3*8*(-9)/(-2). What is the remainder when (-1139)/(-4) + (246/t - 10) is divided by 72?
69
Let x = -236 - -239. Suppose 9*a + 892 = 5*k + 7*a, -x*a + 912 = 5*k. What is the remainder when k is divided by 14?
12
Suppose -8*u - 286 = -3*v - 7*u, -3*v = 5*u - 244. Calculate the remainder when 312 is divided by v.
33
Suppose 623*r = -137*r + 1346720. Calculate the remainder when 5342 is divided by r.
26
Let j be (470/(-4))/(-1) + (-3)/(-6). Let m = j - 60. Calculate the remainder when m + (4 + -3)*-2 is divided by 30.
26
Let z = 2450 + -1338. What is the remainder when z is divided by 62?
58
Let z = -7 + 10. Let u = 189 - 179. Let f = u - z. What is the remainder when 23 is divided by f?
2
Let b(y) = -y**2 - 10*y + 148. Let o(t) = 8*t - 147. Let d(f) = -2*b(f) - 3*o(f). Suppose 37 = 2*w - w. What is the remainder when d(0) is divided by w?
34
Suppose 12*j - 13*j - 40 = 0. Let f = -4 + 13. Calculate the remainder when f is divided by (-15)/j + -21*(-1)/8.
0
Let j(s) = -3*s**3 - 23*s**2 - 11*s + 81. What is the remainder when 285 is divided by j(-7)?
45
Let b = 8064 - 7331. Calculate the remainder when 752 is divided by b.
19
Let a be (-6)/(-1)*(-7)/(-14). Suppose n - 7 = 2*h + 7, n + a*h = 9. What is the remainder when 56 is divided by n?
8
Suppose -73 = s - 89. What is the remainder when 140 is divided by 31 - (-8)/(s/14)?
26
Let v(a) be the second derivative of 89*a**3/6 - 95*a**2 - 35*a + 1. Calculate the remainder when v(4) is divided by 58.
50
Suppose -z = 8*y - 3*y - 1143, -1167 = -5*y - 4*z. What is the remainder when 451 is divided by y?
224
Let t(s) be the first derivative of -6*s**2 - 17*s - 36. Suppose -2*x + 172 + 10 = 0. What is the remainder when x is divided by t(-4)?
29
Let v = 139 + 174. Let z = v + 140. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
{h: 2, j: 10, p: 1, m: 5, s: 2}.
1/684
Two letters picked without replacement from kyvbvyliykkk. What is prob of sequence vy?
1/22
Four letters picked without replacement from {k: 3, p: 1, z: 12}. What is prob of sequence kkpk?
1/7280
Four letters picked without replacement from caaaacmcaaavaaccc. Give prob of sequence vcma.
9/9520
Two letters picked without replacement from cicikkcyccic. Give prob of sequence ky.
1/66
Calculate prob of sequence guhp when four letters picked without replacement from ulhphhlpaplhahppggh.
5/7752
What is prob of sequence tmku when four letters picked without replacement from tooukmi?
1/840
What is prob of sequence fnuv when four letters picked without replacement from {l: 1, g: 1, n: 1, u: 2, f: 1, v: 2}?
1/420
Calculate prob of sequence zii when three letters picked without replacement from {i: 3, p: 1, z: 1}.
1/10
Calculate prob of sequence he when two letters picked without replacement from gehhhvvrhh.
1/18
Two letters picked without replacement from akakakkaapaia. Give prob of sequence aa.
7/26
Two letters picked without replacement from vvvvvvvvvv. Give prob of sequence vv.
1
Four letters picked without replacement from zziziziiiii. What is prob of sequence zizi?
7/110
Four letters picked without replacement from uvgyxjg. Give prob of sequence gxyu.
1/420
What is prob of sequence yee when three letters picked without replacement from oieieyii?
1/168
Four letters picked without replacement from nwlnnwnwwwnwynwnny. What is prob of sequence ynlw?
7/4590
Three letters picked without replacement from {l: 9, p: 1, n: 4}. Give prob of sequence nlp.
3/182
What is prob of sequence kkqi when four letters picked without replacement from {n: 1, i: 2, y: 1, u: 1, q: 1, k: 2}?
1/420
Calculate prob of sequence seoe when four letters picked without replacement from oeayeeeyoyeeayys.
1/728
Calculate prob of sequence ayh when three letters picked without replacement from {i: 1, z: 1, y: 1, h: 1, a: 1}.
1/60
Two letters picked without replacement from {e: 6, u: 8, f: 3}. What is prob of sequence ff?
3/136
Calculate prob of sequence smvw when four letters picked without replacement from wwvmwssw.
1/210
What is prob of sequence bxx when three letters picked without replacement from xbxb?
1/6
Calculate prob of sequence frff when four letters picked without replacement from {h: 1, r: 1, f: 3, o: 2}.
1/140
Three letters picked without replacement from vhwhajaajjajajj. Give prob of sequence jaw.
1/91
Calculate prob of sequence qq when two letters picked without replacement from wwwowqwwoqowwww.
1/105
What is prob of sequence bb when two letters picked without replacement from bgbgbbggbgggg?
5/39
Calculate prob of sequence pppg when four letters picked without replacement from {g: 1, p: 16, o: 3}.
28/969
What is prob of sequence svv when three letters picked without replacement from {n: 3, v: 3, s: 2}?
1/28
Two letters picked without replacement from {c: 1, x: 3, u: 3, e: 3, m: 6}. What is prob of sequence mu?
3/40
Calculate prob of sequence bb when two letters picked without replacement from {m: 4, b: 10}.
45/91
What is prob of sequence kw when two letters picked without replacement from buwuffukbufwuuuwftuk?
3/190
What is prob of sequence wwlw when four letters picked without replacement from {v: 3, l: 2, g: 5, w: 10}?
4/323
What is prob of sequence ppy when three letters picked without replacement from ppppppypppppp?
1/13
Four letters picked without replacement from llrlallldeddarrrr. What is prob of sequence dlaa?
3/4760
What is prob of sequence us when two letters picked without replacement from jsxsjpsjdjpussusxsss?
9/190
Two letters picked without replacement from {r: 3, f: 7}. What is prob of sequence rf?
7/30
Three letters picked without replacement from {k: 11, i: 6, o: 1}. What is prob of sequence iii?
5/204
Four letters picked without replacement from ttttttvttttttvv. Give prob of sequence tttv.
11/91
What is prob of sequence tw when two letters picked without replacement from {f: 4, y: 2, m: 4, d: 3, w: 6, t: 1}?
3/190
Four letters picked without replacement from {x: 3, w: 2}. What is prob of sequence xxwx?
1/10
What is prob of sequence uum when three letters picked without replacement from xmxmxuxmuxmum?
5/286
Calculate prob of sequence uvey when four letters picked without replacement from euvyeyi.
1/210
Four letters picked without replacement from srnrrnnnnfsxxnxfng. Give prob of sequence ngfx.
7/12240
Three letters picked without replacement from jrrjjrrjjjrrj. What is prob of sequence rjj?
21/143
Calculate prob of sequence hs when two letters picked without replacement from {n: 3, y: 3, s: 1, h: 2, o: 1, z: 1}.
1/55
Two letters picked without replacement from {g: 2, u: 1, o: 3, v: 1, h: 7}. Give prob of sequence uv.
1/182
Four letters picked without replacement from ooaaocaoxaaooxm. What is prob of sequence xacm?
1/3276
Calculate prob of sequence ouo when three letters picked without replacement from uoo.
1/3
Two letters picked without replacement from ftttf. Give prob of sequence tt.
3/10
Two letters picked without replacement from ffeeeeeefrefeeefeef. Give prob of sequence ff.
5/57
Two letters picked without replacement from ynqnncqxcncqq. Give prob of sequence xn.
1/39
Calculate prob of sequence xfjf when four letters picked without replacement from {x: 7, a: 2, s: 2, f: 2, e: 2, j: 4}.
7/11628
Two letters picked without replacement from tpxfe. What is prob of sequence ft?
1/20
Three letters picked without replacement from bauzqqr. Give prob of sequence rbu.
1/210
What is prob of sequence oqoy when four letters picked without replacement from yqoooccoyllyyl?
2/1001
Calculate prob of sequence xtrv when four letters picked without replacement from {z: 3, x: 2, t: 2, r: 3, k: 1, v: 3}.
3/2002
Calculate prob of sequence urrb when four letters picked without replacement from urbubbbbbbubururubr.
9/1292
Two letters picked without replacement from gigsw. What is prob of sequence gg?
1/10
Three letters picked without replacement from {i: 3, l: 4, g: 4, j: 2, d: 3}. Give prob of sequence dld.
1/140
What is prob of sequence eyv when three letters picked without replacement from yvzoesz?
1/210
What is prob of sequence lb when two letters picked without replacement from {b: 1, f: 4, l: 1, i: 4, a: 3, c: 6}?
1/342
Three letters picked without replacement from vvxxviihvihv. What is prob of sequence vvi?
1/22
Two letters picked without replacement from {s: 7}. What is prob of sequence ss?
1
Two letters picked without replacement from {i: 2, s: 2, d: 1, a: 2, n: 1}. Give prob of sequence aa.
1/28
What is prob of sequence dbbd when four letters picked without replacement from {d: 7, b: 2}?
1/36
Three letters picked without replacement from {m: 1, k: 1, z: 2, f: 1, p: 1, i: 1}. What is prob of sequence pmi?
1/210
Calculate prob of sequence ee when two letters picked without replacement from {x: 13, e: 5}.
10/153
Two letters picked without replacement from btkztzqpkqzptpppbp. What is prob of sequence pk?
2/51
Two letters picked without replacement from {m: 3, h: 4}. What is prob of sequence hh?
2/7
Calculate prob of sequence lrrr when four letters picked without replacement from lrrrl.
1/10
Three letters picked without replacement from ttttatttta. Give prob of sequence tat.
7/45
Two letters picked without replacement from {d: 2, n: 1}. What is prob of sequence dn?
1/3
Four letters picked without replacement from wffwwewewwwewww. Give prob of sequence ffew.
1/546
Calculate prob of sequence jjjj when four letters picked without replacement from jjvvjjjjjvjjjjjj.
11/28
Two letters picked without replacement from {x: 2, g: 2, z: 1, n: 1, p: 1, j: 1}. What is prob of sequence pz?
1/56
Calculate prob of sequence bmb when three letters picked without replacement from {k: 3, b: 5, m: 1}.
5/126
What is prob of sequence klkl when four letters picked without replacement from {k: 3, l: 7, m: 9}?
7/2584
Three letters picked without replacement from nddddcnajjjejddjnncc. What is prob of sequence jec?
1/456
Two letters picked without replacement from vvjjvvvvpvvjvvvvjvvj. What is prob of sequence vv?
91/190
Two letters picked without replacement from llmmlllmnmlkl. Give prob of sequence mn.
1/39
Calculate prob of sequence xoxj when four lett
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -3*l**3 - 3*l**2 - 2*l. Let g be 3/15 + (-22)/10. Let f be -2 - (-1)/g*6. Let b(m) = 7*m**3 + 7*m**2 + 5*m. Let q(i) = f*c(i) - 2*b(i). Factor q(p).
p**2*(p + 1)
Let s(r) = -17*r**3 + 7*r**2 - r + 5. Let v(o) = o**3 - 1. Let z(j) = -s(j) - 5*v(j). Suppose z(x) = 0. Calculate x.
0, 1/4, 1/3
Let p be -5*5/(20/(-4)). Determine q, given that -1/5*q**p + 0*q**4 + 0*q - 2/5*q**2 + 0 + 3/5*q**3 = 0.
-2, 0, 1
Let u be (3/(6 - 3))/((-85)/(-50)). Factor 0 + u*a**2 - 6/17*a - 2/17*a**4 - 2/17*a**3.
-2*a*(a - 1)**2*(a + 3)/17
Let t(q) be the third derivative of 0*q - 1/150*q**5 + 0*q**6 + 0 + 1/525*q**7 + 0*q**3 + 0*q**4 + q**2. Factor t(h).
2*h**2*(h - 1)*(h + 1)/5
Let h(c) be the first derivative of -c**4/20 - 4*c**3/15 - c**2/2 - 2*c/5 + 10. Find n such that h(n) = 0.
-2, -1
Let s(c) = c - 4. Let a be s(8). Suppose -d - 4 = 4*x + 13, -14 = 2*d + a*x. Factor -d*z**2 + 5*z**2 - 4*z**3 + 7*z**3 - 5*z**3.
-2*z**2*(z - 1)
Let k(i) be the first derivative of -1/6*i**4 - 4*i**2 + 2*i - 4/3*i**3 - 3. Let x(y) be the first derivative of k(y). Factor x(c).
-2*(c + 2)**2
Let g be ((-9)/12)/(3/(-12) + 0). Determine p so that 8/5 + 8/5*p - 14/5*p**2 + 4/5*p**g = 0.
-1/2, 2
Let n(d) be the second derivative of -d**4/14 + 3*d**2/7 + 4*d. Factor n(b).
-6*(b - 1)*(b + 1)/7
Let m be -1*(-1)/((-1)/(-2)). Let p = m - 2. Factor -1/3*z**5 - 1/3*z**2 + 1/3*z**3 + 1/3*z**4 + p + 0*z.
-z**2*(z - 1)**2*(z + 1)/3
Let p(q) be the third derivative of -q**5/300 + q**4/120 - q**2 + 2*q. Factor p(o).
-o*(o - 1)/5
Let p(i) be the third derivative of -1/60*i**6 - i**2 + 0*i**3 + 0 + 1/15*i**5 - 1/12*i**4 + 0*i. Determine m so that p(m) = 0.
0, 1
Suppose 13/6*c**2 + 1/6*c**4 + 6 - 10*c + 5/3*c**3 = 0. Calculate c.
-6, 1
Let k(z) be the second derivative of -z**6/105 - z**5/70 + z**4/21 - 33*z. Factor k(h).
-2*h**2*(h - 1)*(h + 2)/7
Let t be 36/180 - ((-6)/20)/1. Suppose 1 + 1/2*y - t*y**2 = 0. What is y?
-1, 2
Let o(c) be the first derivative of -3*c**5/5 + 3*c**4/2 - 3*c**2 + 3*c - 4. Suppose o(a) = 0. Calculate a.
-1, 1
Let b(k) be the first derivative of -k**4 + 2*k**3/3 - k**2/8 - 3. Find l such that b(l) = 0.
0, 1/4
Let h(d) be the first derivative of d**5 - 5*d**4/4 - 5*d**3/3 + 5*d**2/2 + 19. Determine y, given that h(y) = 0.
-1, 0, 1
Let k(z) be the first derivative of z**6/33 - 4*z**5/55 - 13. Factor k(f).
2*f**4*(f - 2)/11
Let f(p) be the third derivative of -p**8/126 + 11*p**7/945 + 7*p**6/270 - 2*p**5/45 - p**4/54 + p**3/27 - 2*p**2. Determine q, given that f(q) = 0.
-1, -1/3, 1/4, 1
Factor 4*v**2 - 2*v**4 - 5*v + 16*v - 2 - 11*v.
-2*(v - 1)**2*(v + 1)**2
Let c(i) be the first derivative of i**3/15 - i**2/2 - 14*i/5 - 26. Factor c(t).
(t - 7)*(t + 2)/5
Let c(v) be the first derivative of -v**5/15 - v**4/3 - 4*v**3/9 - 9. Solve c(b) = 0.
-2, 0
Let u(k) be the first derivative of -3*k**5/5 - 3*k**4 - 3*k**3 + 6*k**2 + 12*k - 18. Factor u(o).
-3*(o - 1)*(o + 1)*(o + 2)**2
Let h be 49/17 + (-26)/(-221) - 1. Let c(t) be the second derivative of 1/45*t**6 - 1/9*t**3 + 1/30*t**5 + 0*t**h - 1/18*t**4 - 4*t + 0. Solve c(k) = 0.
-1, 0, 1
Let p(a) be the second derivative of a**7/28 - 3*a**6/10 + 39*a**5/40 - 3*a**4/2 + a**3 - 7*a. Factor p(i).
3*i*(i - 2)**2*(i - 1)**2/2
Let n(w) be the first derivative of w**7/2940 + w**6/1260 + w**3 + 2. Let m(s) be the third derivative of n(s). Determine g so that m(g) = 0.
-1, 0
Let s = 423/260 - -8/65. Determine b, given that -3/4*b**5 - 5/4*b**3 + 0*b + s*b**4 + 0 + 1/4*b**2 = 0.
0, 1/3, 1
Let a = 16 + -14. Factor -1/2*y**3 - y**a + 1 + 1/2*y.
-(y - 1)*(y + 1)*(y + 2)/2
Suppose 0*x + 7*x = 0. Let p(f) be the first derivative of x*f - 1 + 0*f**2 + f**3 - 3/8*f**4. Find v, given that p(v) = 0.
0, 2
What is m in 4/7*m**2 - 4/7*m + 0 = 0?
0, 1
Let c(h) = 3*h + 14. Let s be c(-6). Let g(q) = 5*q**2 + 6*q + 1. Let z(d) = -11*d**2 - 13*d - 2. Let o(l) = s*z(l) - 9*g(l). Factor o(b).
-(b + 1)**2
Let d(t) be the first derivative of 4/5*t**2 - 4 - 2/15*t**3 - 6/5*t. Factor d(i).
-2*(i - 3)*(i - 1)/5
Let f be (-2245)/(-60) - 2/(-8). Let i = 38 - f. Factor -q + i - 1/3*q**3 + q**2.
-(q - 1)**3/3
Suppose -17*z + 12*z + 4*m = -41, m = -4. Let 4/5*a**2 + 0 + 2*a**z - 4/5*a**4 + 0*a - 2*a**3 = 0. What is a?
-1, 0, 2/5, 1
Let p(a) be the first derivative of -a**6/33 - 2*a**5/11 - 5*a**4/11 - 20*a**3/33 - 5*a**2/11 - 2*a/11 - 19. Factor p(q).
-2*(q + 1)**5/11
Let i = 1786/3 + -437/15. Let g = i + -563. Solve 6/5*a**5 + 0 + 14/5*a**3 + 0*a + g*a**4 + 4/5*a**2 = 0 for a.
-1, -2/3, 0
Let x(k) be the second derivative of -k**5/150 + k**4/60 + 3*k**2 + 8*k. Let l(o) be the first derivative of x(o). Determine w, given that l(w) = 0.
0, 1
Let m(w) = -w - 1. Let r be m(-4). Factor d**5 - 10*d + 10*d + r*d**3 + 3*d**4 + d**2.
d**2*(d + 1)**3
Let y be (-69)/5 - (-1)/(-5). Let s = -8 - y. What is w in -s*w**2 + w + 2*w**2 + 5*w**2 = 0?
-1, 0
Let d = -40/7 + 207/35. Let b = 351/5 - 70. Solve -b*p + 0 + d*p**2 = 0 for p.
0, 1
Suppose -3 = -3*n + 12. Solve 19*t**2 - 11*t**2 - 5*t**3 + 2*t**3 - n*t**2 = 0.
0, 1
Find d such that 0 + 0*d**2 + 0*d - 3/2*d**4 + 3/2*d**3 = 0.
0, 1
Factor -10*f - 5*f**4 + 117*f**5 + 25*f**2 - 9*f**3 - 112*f**5 - 6*f**3.
5*f*(f - 1)**3*(f + 2)
Find i, given that -20*i**2 - 4*i**4 - i**4 + 166 - 166 + 25*i**3 = 0.
0, 1, 4
Factor -w + 5*w - 5*w**3 - 6*w**2 - 19*w - 14*w**2.
-5*w*(w + 1)*(w + 3)
Let v(g) = 1. Let i(z) = -z**2 + 3*z + 4. Let k(f) = i(f) - 4*v(f). Determine x, given that k(x) = 0.
0, 3
Let x be (-2 - 8/(-6))/(54/(-162)). Let 2/9*r**x + 2/9 + 4/9*r = 0. Calculate r.
-1
Let z be (-3)/15 + (-1414)/10. Let d = 142 + z. Determine i so that -16/5*i**2 + d*i**5 + 0*i + 24/5*i**3 - 12/5*i**4 + 0 = 0.
0, 2
Suppose 44/3*a**3 + 40/3*a - 8/3 - 10/3*a**4 - 22*a**2 = 0. What is a?
2/5, 1, 2
Let t(g) be the third derivative of -3*g**2 - 1/24*g**8 + 2/15*g**5 + 7/30*g**6 - 7/12*g**4 + 0 - 2/3*g**3 + 0*g - 2/105*g**7. Determine o, given that t(o) = 0.
-1, -2/7, 1
Let i(s) be the first derivative of -s**3/12 + s**2/2 - 3*s/4 + 19. Factor i(z).
-(z - 3)*(z - 1)/4
Let p(q) = 4*q - q**4 - 9*q**2 + 0*q**2 + 12*q**3 - 12*q**2 + 4*q**2. Let n(a) = -a**4 + 24*a**3 - 35*a**2 + 7*a. Let y(o) = 2*n(o) - 5*p(o). Solve y(k) = 0.
0, 1, 2
Suppose 5*w + c = -c + 4, -2 = -2*w - c. Factor -1/3*t**3 + 1/3*t**2 + w + 0*t.
-t**2*(t - 1)/3
Let x be (-8)/(-144)*3/140. Let t(d) be the third derivative of 0*d - 1/75*d**5 + 2/525*d**7 + 0*d**6 + x*d**8 - 1/60*d**4 + 0 + 0*d**3 + 2*d**2. Factor t(s).
2*s*(s - 1)*(s + 1)**3/5
Let t(n) be the third derivative of 0*n - 1/70*n**5 + 4*n**2 + 1/420*n**6 + 1/28*n**4 + 0 - 1/21*n**3. Factor t(w).
2*(w - 1)**3/7
Let u(d) = d**2 + 6*d - 72. Let b be u(6). Let 2/7*w**2 + 0 + b*w = 0. What is w?
0
Let q(p) = p**2 + 2*p - 2. Let d(m) = m**2 + 2*m - 1. Suppose h = -3*f + f + 27, 3*h = 3*f - 18. Let a = f - 8. Let s(u) = a*d(u) - 2*q(u). Factor s(y).
(y + 1)**2
Let m(o) be the third derivative of -2/147*o**7 + 1/21*o**4 + 9*o**2 + 2/35*o**6 + 0*o - 3/35*o**5 + 0 + 0*o**3. Factor m(t).
-4*t*(t - 1)**2*(5*t - 2)/7
Let l = 64 + -60. Find j such that 2/7*j**2 + 0 - 2/7*j + 18/7*j**3 + 8/7*j**5 + 22/7*j**l = 0.
-1, 0, 1/4
Let i(h) be the third derivative of -1/39*h**3 + 0*h + 0*h**6 + 1/195*h**5 - 2*h**2 + 0*h**4 - 1/1365*h**7 + 0. Factor i(q).
-2*(q - 1)**2*(q + 1)**2/13
Let f(z) be the second derivative of z**6/540 + z**5/90 - z**3/3 - 2*z. Let h(b) be the second derivative of f(b). Suppose h(d) = 0. What is d?
-2, 0
Let k be 6/(-2) + 0/5. Let b be 1 + k + 3 + 2. Find p, given that -8 - 2*p**b + 0*p**3 - 7*p**2 + 13*p**2 = 0.
-1, 2
Let u(t) = -t**5 - t**3 + t**2 - t + 1. Let i(b) = -103*b**5 + 468*b**4 - 682*b**3 + 403*b**2 - 82*b + 1. Let y(q) = i(q) + 5*u(q). What is j in y(j) = 0?
1/6, 1, 2
Suppose o + 2*o = 12. Let m be 0 - (3 - o)*2. Factor 0*h**m + 4/5*h**4 + 1/5*h**3 + 0 + 3/5*h**5 + 0*h.
h**3*(h + 1)*(3*h + 1)/5
Let m be ((-24)/42)/(2/(-7)). Let -6*r**3 - 14*r**2 + 8 - 2 + 5*r**m + 9*r = 0. What is r?
-2, -1/2, 1
Let j(m) = m - 1. Let p(r) = 3*r**2 - 5*r + 10. Let l(h) = 36*j(h) + 4*p(h). Suppose l(u) = 0. What is u?
-1, -1/3
Factor -6/5*s**2 + 6/5 - 2/5*s**3 + 2/5*s.
-2*(s - 1)*(s + 1)*(s + 3)/5
Factor -4/3*k**4 + 12*k**2 + 44/3*k + 4/3*k**3 + 16/3.
-4*(k - 4)*(k + 1)**3/3
Let v(r) be the third derivative of 0 + 0*r + r**2 + 1/18*r*
|
{
"pile_set_name": "DM Mathematics"
}
|
s.
-2563
Let v(y) be the second derivative of 0*y**6 - 181/12*y**4 + 0*y**2 + 0 + 1/42*y**7 - 87*y + 0*y**3 - 2/5*y**5. Find the third derivative of v(r) wrt r.
60*r**2 - 48
What is the third derivative of -14*m**5 + 97*m - 1661*m**4 + 3324*m**4 + 26*m**6 - 2*m**2 - 1661*m**4 + 313*m + 5 wrt m?
3120*m**3 - 840*m**2 + 48*m
Let a(k) be the second derivative of -332*k**4 + 1747*k**2 - 394*k - 6. What is the first derivative of a(o) wrt o?
-7968*o
Suppose 0*k = -4*k. Let g(x) = -x + 4. Let y be g(k). Find the third derivative of -8*q**2 - 8*q**y + 7*q**2 + 13*q**2 wrt q.
-192*q
Let l = 24 + -18. Let n be 34*l/(-48) - (-1)/4. Let m(w) = -w**4 + 33*w. Let x(t) = -34*t. Let q(s) = n*x(s) - 5*m(s). Find the second derivative of q(y) wrt y.
60*y**2
Let d(q) = -q**2 - 5*q + 17. Let m be d(-7). What is the derivative of -6 - 2662*x**4 - m*x + 2634*x**4 + x wrt x?
-112*x**3 - 2
Differentiate 44*s**3 + 2*s - 1903 - 2*s - 147*s**2 + s - 74*s**3 + 31*s**3 wrt s.
3*s**2 - 294*s + 1
Let m(w) = -616*w**2 + 140*w - 65. Let j(a) = 307*a**2 - 69*a + 32. Let z(l) = -9*j(l) - 4*m(l). What is the second derivative of z(r) wrt r?
-598
Find the third derivative of 87*s + 3*s**2 + 6*s**2 + 2029*s**5 - 14*s**2 + 3*s**2 wrt s.
121740*s**2
Let u(l) be the first derivative of 4987*l**2/2 + 9203*l + 10028. What is the derivative of u(j) wrt j?
4987
Let k be 28/(-10) - -2 - 6395/(-25). Find the first derivative of -63*p**3 - 147 + k - 172 wrt p.
-189*p**2
Find the third derivative of 33*v**5 + 11*v**4 + 446*v**2 + 36*v**5 + 22*v**4 + 34*v**5 - 101*v**5 wrt v.
120*v**2 + 792*v
Let b(v) = -3*v**4 - 54*v**3 - 2*v**2 - 642*v. Let a(j) = j**4 - j**3 + j**2 + j. Let q(s) = -2*a(s) - b(s). What is the second derivative of q(y) wrt y?
12*y**2 + 336*y
Let a be 3 - (-2 - 63 - 0/(-6)). Find the third derivative of -18898 - 32*v**2 + 18898 - a*v**3 wrt v.
-408
Let l be 122*(-9)/24*-4. What is the first derivative of 21*m + 93 - l + 97*m wrt m?
118
Let j(h) = -1037*h**2 + 1693*h - 12. Let b(a) = 1038*a**2 - 1684*a + 11. Let u(c) = -12*b(c) - 11*j(c). What is the second derivative of u(w) wrt w?
-2098
Let g(a) be the first derivative of 1/4*a**4 - a - 19/5*a**5 - 5/3*a**3 + 0*a**2 + 57. What is the third derivative of g(x) wrt x?
-456*x + 6
Let g = 131 - 129. Find the second derivative of -3*p**2 + 2*p**2 - 4*p**g - 81*p + 3*p**3 + 24*p wrt p.
18*p - 10
What is the third derivative of 34*p**6 - 29 - 40*p**5 + 9*p**2 - 5 + 66*p**6 + 37*p**5 wrt p?
12000*p**3 - 180*p**2
Let c(w) be the second derivative of -51*w**5/20 - 1581*w**2/2 - 2*w + 132. Differentiate c(o) wrt o.
-153*o**2
Let q be ((-183)/15 + 2)/((-1)/15). What is the second derivative of 54*g**4 - 78*g**4 - q*g**4 + 15*g + 38*g - 249*g wrt g?
-2124*g**2
Suppose -3*m = -4*m + 2. Find the third derivative of d**3 + 0*d**4 - 2*d**4 - 25*d**m - 16 + 17 + d**4 wrt d.
-24*d + 6
Let r(s) be the third derivative of s**5/5 + 161*s**4/24 + 615*s**3/2 - 938*s**2. Differentiate r(z) wrt z.
24*z + 161
Let c be (1312/24 + -6)/(1/3). Find the third derivative of 3*t**4 + c*t**2 - 26*t**5 + 66*t**2 + 2*t**5 + t**4 - 7*t**4 wrt t.
-1440*t**2 - 72*t
Find the second derivative of -8309*z**3 - 1472*z + 16570*z**3 - 8286*z**3 - 42*z**2 wrt z.
-150*z - 84
Suppose -4*b - m = 1 - 44, 15 = -3*m. What is the first derivative of -11*s**2 - 127 - 86*s**2 - 89 + 74 - b*s**2 wrt s?
-218*s
Let a = 163 - 112. Let n = -48 + a. Find the second derivative of 6*h**3 - 26*h - 8*h**3 + 5*h**n wrt h.
18*h
Let v(z) be the first derivative of -5*z**3/3 - 87*z**2/2 + 560*z - 2108. Differentiate v(k) wrt k.
-10*k - 87
Let z(p) be the first derivative of -5*p**3 + 0*p**2 - 13/4*p**4 + 2*p + 28. What is the third derivative of z(d) wrt d?
-78
Let b = 486 + -484. What is the second derivative of 26*m**2 - m**3 - 1 + 64*m**4 - 7*m - 6 - 3 - 26*m**b wrt m?
768*m**2 - 6*m
Find the first derivative of -3123 - 4537*y + 376 - 505 - 2252 + 299 wrt y.
-4537
Let q = -55 + 66. Let k = q + 26. Find the first derivative of -5*l - 11 + l - 11 + k wrt l.
-4
Let h(i) = i**3 + 6*i**2 - 495*i + 1483. Let m(l) = -3*l**3 - 14*l**2 + 992*l - 2965. Let t(y) = 7*h(y) + 3*m(y). What is the first derivative of t(r) wrt r?
-6*r**2 - 489
Find the first derivative of 910*a**3 - 178 - 164 + 908*a**3 - 1848*a**3 wrt a.
-90*a**2
What is the second derivative of -56049*j**3 - j + 56056*j**3 - 2*j + 280 + 29*j**4 wrt j?
348*j**2 + 42*j
Let o(i) be the first derivative of 6901*i**6/6 + 778*i**3 - 1255. What is the third derivative of o(q) wrt q?
414060*q**2
Let t(h) = 26*h + 24. Let u(j) = -10*j + 3 + 27*j - 4 - 16*j. Let n(w) = -t(w) + 2*u(w). Differentiate n(s) wrt s.
-24
Let u(z) be the third derivative of 0*z**4 - 31/2*z**3 + 0*z**6 + 0*z**5 + 0*z + 13/210*z**7 + 44*z**2 + 0. Differentiate u(p) wrt p.
52*p**3
Let n(x) be the first derivative of -x**3/3 + 5*x**2 + 11*x + 19. Let d be n(11). Find the third derivative of d*i**2 - 10*i**5 + 18*i**2 - 10*i**2 wrt i.
-600*i**2
Suppose -16*l = -22*l. Suppose -2*p = -2 - l. What is the second derivative of 2*h**2 - 1 + p + 93*h - 101*h wrt h?
4
Let w(r) be the first derivative of 3826*r - 3885*r + 60 - r**2 - 22*r**4 + r**2. Differentiate w(o) with respect to o.
-264*o**2
Suppose -5*y = 6*y - 44. Suppose 2*c + 81 = 5*c. Find the third derivative of 8*w**2 - 11*w**2 + c*w**y - 4*w**2 - w**4 wrt w.
624*w
What is the third derivative of -1403*u**3 + 3 + 23*u**2 + 8*u**2 - 2 - 969*u**3 - 33*u**2 - 8*u wrt u?
-14232
Suppose 18*t + 124 = 22*t. Find the third derivative of -14*m**2 + 51*m**3 - t*m**2 + 9*m**3 wrt m.
360
Find the third derivative of -5*a**6 + 212*a**5 - 214*a**5 + 0*a**3 - 6785*a**2 - 564*a**6 + 5*a**3 wrt a.
-68280*a**3 - 120*a**2 + 30
Let n(l) = -2*l**3 - 9*l**2 + 18*l + 24. Let g be n(-6). Differentiate -19 + 27 + 3 - 40 - g - 207*z**4 wrt z.
-828*z**3
Let k = 7 - -1. Let x be (-180)/(-16) - 2/k - 1. Find the third derivative of 10*y**4 - x*y**2 + 24*y**2 - 3*y**4 wrt y.
168*y
Let p(x) be the second derivative of 0*x**5 + 11/12*x**4 + 2 + 1/42*x**7 - 127/6*x**3 + 0*x**6 + 0*x**2 + 71*x. Find the second derivative of p(r) wrt r.
20*r**3 + 22
What is the second derivative of 326*t**2 + 4*t - 1735*t**2 + 449 - 1044*t**2 - 5*t + 176*t**2 wrt t?
-4554
Let g be -11*((-5)/15 + 15/(-9)). Find the second derivative of -90*z**5 + g + 50 + 10*z**5 - z wrt z.
-1600*z**3
Let r(f) = -8194*f**4 + 3*f**3 - 3*f**2 + 6674. Let v(a) = -8195*a**4 + 4*a**3 - 4*a**2 + 6674. Let y(b) = -4*r(b) + 3*v(b). Differentiate y(j) wrt j.
32764*j**3
Suppose 13*o - 5*o = 40. Find the second derivative of 3 - 323*n**4 + 324*n**4 - 65*n - 3*n**o + n**5 - 3 wrt n.
-40*n**3 + 12*n**2
Let t(z) = z**2 - 13*z + 116. Let v be t(6). Find the third derivative of v*h**4 + 49*h**2 - 9*h**2 - 10*h**4 wrt h.
1536*h
Suppose k = 4*k - 4*u - 26, 4*k + u - 3 = 0. Differentiate -25 + 4*y + 2*y**3 + 2*y**2 + 0*y**k - 2*y**2 with respect to y.
6*y**2 + 4
Suppose 5*p + 4*s = 30, 3*p - 33*s + 9 = -30*s. Find the second derivative of 133*g**2 - 4*g - 262*g**2 + 146*g**p + 4*g**4 - 32 wrt g.
48*g**2 + 34
Let s(c) be the first derivative of 46/7*c**7 - 69*c**3 + 120 + 0*c**2 + 0*c**4 + 0*c**5 + 0*c + 0*c**6. Find the third derivative of s(d) wrt d.
5520*d**3
Let g(v) = 163*v + 42. Let k(m) be the first derivative of -162*m**2 - 86*m + 35. Let y(n) = 5*g(n) + 2*k(n). What is the derivative of y(a) wrt a?
167
Let k(f) be the second derivative of -4 + 5*f - 34/5*f**6 + 0*f**2 - 17/6*f**3 + 0*f**5 + 0*f**4. Find the second derivative of k(r) wrt r.
-2448*r**2
Let m(w) be the third derivative of -11/60*w**6 + 0*w - 36*w**2 + 0*w**5 + 0 - 1/6*w**3 + 41/12*w**4. Find the second derivative of m(g) wrt g.
-132*g
Suppose 2*o = -2*f - 2*o + 6, 3*o = -5*f + 36. Let p be f/((-54)/(-64)) + (-6)/9. What is the first derivative of -36*h**2 + 62*h**2 + p - 47*h**2 wrt h?
-42*h
Suppose 8 - 6 = c. Let i be (c - 3 - -2)*6. Differentiate v - v + 2 + 2*v**4 - i*v**4 with respect to v.
-16*v**3
Let b be 1/(-3) + (260/13)/10. Let a(m) be the first derivative of b*m**3 + 21/5*m**5 + 0*m**4 - 13 + 0*m**2 + 0*m. Find the third derivative of a(f) wrt f.
504*f
Let n(y) = 2*y**2 + 9*y - 16. Suppose 3*k + 38 = 5*g, 1 = -k - 2*g + 3. Let d be n(k). Differentiate 2*r**d + 13 + 11*r**2 + 8*r**2 + 3*r**2 with respect to r.
48*r
Let g(h) =
|
{
"pile_set_name": "DM Mathematics"
}
|
-28972031*b - 7
What is the w'th term of -2035491, -4070982, -6106473, -8141964, -10177455?
-2035491*w
What is the u'th term of 42732, 85655, 128574, 171489?
-2*u**2 + 42929*u - 195
What is the t'th term of -2643204, -2643205, -2643206, -2643207, -2643208, -2643209?
-t - 2643203
What is the d'th term of -485082, -488236, -491392, -494550, -497710?
-d**2 - 3151*d - 481930
What is the y'th term of -1926844, -1926786, -1926680, -1926520, -1926300, -1926014?
y**3 + 18*y**2 - 3*y - 1926860
What is the h'th term of 11687, 12490, 13293?
803*h + 10884
What is the w'th term of -48236378, -48236381, -48236384?
-3*w - 48236375
What is the l'th term of -755875, -3023662, -6803291, -12094756, -18898051?
l**3 - 755927*l**2 - 13*l + 64
What is the n'th term of -7720395, -7720403, -7720411?
-8*n - 7720387
What is the k'th term of 55268, 108918, 162568, 216218?
53650*k + 1618
What is the p'th term of 3394870, 3394865, 3394862, 3394861, 3394862, 3394865?
p**2 - 8*p + 3394877
What is the d'th term of 38292510, 38292512, 38292514?
2*d + 38292508
What is the m'th term of 10040, 7899, 5758?
-2141*m + 12181
What is the d'th term of 30298, 64081, 97840, 131563, 165238, 198853?
-2*d**3 + 33797*d - 3497
What is the d'th term of 2772921, 5545843, 8318765, 11091687, 13864609, 16637531?
2772922*d - 1
What is the r'th term of 1266, 9891, 33204, 78531, 153198, 264531, 419856?
1221*r**3 + 18*r**2 + 24*r + 3
What is the i'th term of -2109641, -4219352, -6329065, -8438780, -10548497, -12658216, -14767937?
-i**2 - 2109708*i + 68
What is the n'th term of -718686, -2874789, -6468298, -11499213, -17967534, -25873261?
-718703*n**2 + 6*n + 11
What is the q'th term of -286925, -573859, -860805, -1147769, -1434757, -1721775, -2008829, -2295925?
-q**3 - 286927*q + 3
What is the r'th term of 4427, 3626, 2319, 506?
-253*r**2 - 42*r + 4722
What is the n'th term of -821, -1878, -3181, -4730?
-123*n**2 - 688*n - 10
What is the l'th term of 76743, 71367, 62409, 49869, 33747, 14043?
-1791*l**2 - 3*l + 78537
What is the h'th term of -466932, -466986, -467076, -467202?
-18*h**2 - 466914
What is the z'th term of -13380, -10456, -7532, -4608, -1684?
2924*z - 16304
What is the x'th term of -660855, -660861, -660867?
-6*x - 660849
What is the o'th term of -18067, -34414, -50761, -67108?
-16347*o - 1720
What is the u'th term of -48234, -96631, -145190, -193911, -242794, -291839, -341046?
-81*u**2 - 48154*u + 1
What is the x'th term of 5408295, 10816605, 16224929, 21633273, 27041643, 32450045?
x**3 + x**2 + 5408300*x - 7
What is the x'th term of -4784, -5655, -7252, -9575, -12624, -16399?
-363*x**2 + 218*x - 4639
What is the j'th term of -10189, -10196, -10227, -10294, -10409, -10584?
-2*j**3 + 7*j - 10194
What is the h'th term of 13614, 27683, 41816, 56019, 70298, 84659?
h**3 + 26*h**2 + 13984*h - 397
What is the q'th term of -452410, -1809624, -4071650, -7238488, -11310138, -16286600?
-452406*q**2 + 4*q - 8
What is the f'th term of 2966951, 11867814, 26702585, 47471264, 74173851, 106810346?
2966954*f**2 + f - 4
What is the g'th term of -121, -146, 11, 422, 1159, 2294?
12*g**3 + 19*g**2 - 166*g + 14
What is the f'th term of 11133, 11138, 11139, 11136, 11129, 11118, 11103?
-2*f**2 + 11*f + 11124
What is the s'th term of -104360489, -104360490, -104360491, -104360492, -104360493?
-s - 104360488
What is the p'th term of 59509, 59397, 59275, 59137, 58977, 58789, 58567, 58305?
-p**3 + p**2 - 108*p + 59617
What is the m'th term of 39548, 40782, 42016?
1234*m + 38314
What is the v'th term of 812383, 1624781, 2437183, 3249589, 4061999, 4874413, 5686831?
2*v**2 + 812392*v - 11
What is the x'th term of -20775, -17871, -13037, -6279, 2397, 12985, 25479?
-x**3 + 971*x**2 - 2*x - 21743
What is the a'th term of -463532, -927003, -1390474?
-463471*a - 61
What is the z'th term of 129, 682, 1617, 2946, 4681, 6834?
2*z**3 + 179*z**2 + 2*z - 54
What is the l'th term of -4890615, -9781222, -14671821, -19562412?
4*l**2 - 4890619*l
What is the r'th term of -13613, -27394, -41183, -54980, -68785?
-4*r**2 - 13769*r + 160
What is the x'th term of 16919489, 16919487, 16919485, 16919483?
-2*x + 16919491
What is the x'th term of -29257, -29095, -28839, -28495, -28069, -27567?
-x**3 + 53*x**2 + 10*x - 29319
What is the z'th term of 52270, 52693, 53838, 56065, 59734, 65205, 72838, 82993?
60*z**3 + z**2 + 52209
What is the y'th term of -12510, -12419, -12272, -12069?
28*y**2 + 7*y - 12545
What is the j'th term of -44641, -44671, -44755, -44917, -45181, -45571, -46111?
-4*j**3 - 3*j**2 + 7*j - 44641
What is the k'th term of 440, 4205, 14930, 36257, 71828, 125285, 200270?
607*k**3 - 162*k**2 + 2*k - 7
What is the w'th term of -21378634, -42757244, -64135854, -85514464?
-21378610*w - 24
What is the m'th term of -19247, -18886, -18283, -17438, -16351?
121*m**2 - 2*m - 19366
What is the p'th term of 553, 2846, 6887, 12676?
874*p**2 - 329*p + 8
What is the g'th term of 49234690, 49234688, 49234684, 49234678, 49234670?
-g**2 + g + 49234690
What is the w'th term of -217201, -434425, -651661, -868915, -1086193, -1303501, -1520845?
-w**3 - 217217*w + 17
What is the t'th term of 183181, 183084, 182961, 182800, 182589, 182316, 181969?
-2*t**3 - t**2 - 80*t + 183264
What is the w'th term of 794404, 794414, 794428, 794446, 794468?
2*w**2 + 4*w + 794398
What is the n'th term of 2128, 2169, 2232, 2329, 2472?
2*n**3 - n**2 + 30*n + 2097
What is the m'th term of -58622, -234373, -527296, -937397, -1464682, -2109157, -2870828?
-m**3 - 58580*m**2 - 4*m - 37
What is the v'th term of 2415, 9204, 20511, 36330, 56655, 81480, 110799, 144606?
-v**3 + 2265*v**2 + v + 150
What is the l'th term of -29, -1715, -6233, -14999, -29429, -50939?
-236*l**3 - 34*l + 241
What is the b'th term of 5770700, 5770698, 5770696, 5770694?
-2*b + 5770702
What is the m'th term of 87309, 349481, 786433, 1398165, 2184677, 3145969, 4282041?
87390*m**2 + 2*m - 83
What is the l'th term of 8199629, 32798515, 73796659, 131194061, 204990721?
8199629*l**2 - l + 1
What is the v'th term of -7466, -7134, -6580, -5804, -4806, -3586?
111*v**2 - v - 7576
What is the p'th term of 495612, 991218, 1486824, 1982430?
495606*p + 6
What is the a'th term of -111748402, -111748404, -111748406, -111748408?
-2*a - 111748400
What is the m'th term of -1942, -24330, -61644, -113884?
-7463*m**2 + m + 5520
What is the m'th term of -4952, -36251, -120974, -285833, -557540, -962807?
-4452*m**3 - 135*m - 365
What is the z'th term of 118449, 947373, 3197243, 7578531, 14801709, 25577249, 40615623?
118412*z**3 + z**2 + 37*z - 1
What is the w'th term of -5907, -23509, -52849, -93927, -146743?
-5869*w**2 + 5*w - 43
What is the t'th term of -794917, -795003, -795089?
-86*t - 794831
What is the y'th term of 326568, 326333, 326098, 325863, 325628, 325393?
-235*y + 326803
What is the k'th term of 936868, 3747442, 8431732, 14989738, 23421460?
936858*k**2 + 10
What is the u'th term of -1908, -13779, -45990, -108711, -212112, -366363, -581634?
-1695*u**3 - 6*u - 207
What is the v'th term of 7770, 27419, 60182, 106065, 165074, 237215, 322494, 420917?
v**3 + 6551*v**2 - 11*v + 1229
What is the p'th term of 46678, 186791, 420332, 747295, 1167674, 1681463, 2288656, 2989247?
-p**3 + 46720*p**2 - 40*p - 1
What is the q'th term of -300015298, -300015293, -300015286, -300015277, -300015266?
q**2 + 2*q - 300015301
What is the v'th term of -91773, -367161, -826145, -1468725, -2294901?
-91798*v**2 + 6*v + 19
What is the a'th term of 73, -2139, -4347, -6551, -8751?
2*a**2 - 2218*a + 2289
What is the c'th term of 57110776, 57110777, 57110778?
c + 57110775
What is the k'th term of -116, -770, -2546, -6038, -11840, -20546, -32750?
-99*k**3 + 33*k**2 - 60*k + 10
What is the k'th term of 57642, 57727, 57812, 57897, 57982, 58067?
85*k + 57557
What is the c'th term of 12537365, 25074729, 37612093?
12537364*c + 1
What is the h'th term of -898111, -3592550, -8083267, -14370256, -22453511?
h**3 - 898145*h**2 - 11*h + 44
What is the a'th term of 95022, 94991, 94916, 94779, 94562, 94247?
-3*a**3 - 4*a**2 + 2*a + 95027
What is the x'th term of -1416053, -2832096, -4248139, -5664182?
-1416043*x - 10
What is the w'th term of 5057, 4450, 3851, 3260?
4*w**2 - 619*w + 5672
What is the i'th term of -6411, -25193, -56497, -100323, -156671, -225541?
|
{
"pile_set_name": "DM Mathematics"
}
|
p - 8 = 0. Calculate the highest common factor of 11 and s.
1
Let s be 42/15 - 8/10. Suppose -s*h - 66 = -88. What is the highest common divisor of 55 and h?
11
Let m(y) = -10*y - 6. Let h be m(-4). Let o = 108 - h. Suppose o = 5*s - 21. Calculate the highest common divisor of s and 19.
19
Suppose 0 = s + 2 - 1, -11 = -4*z - 5*s. Let u be (-4)/(-1) - (3 - z). Let j = -266 - -281. Calculate the greatest common factor of j and u.
5
Let g = -65 - -329. Calculate the greatest common factor of g and 12.
12
Let k be 4/(-8) + (2997/6)/3. Suppose 104 + k = 9*s. Calculate the highest common divisor of 6 and s.
6
Let p(c) = c**2 + c - 1. Let l be p(-3). Let u = -66 + 71. Calculate the highest common divisor of l and u.
5
Let r = 11 + -7. Suppose -5*q = 4*a - 335, -257 = -r*q - a - 0*a. Let g(k) = 90*k + 459. Let d be g(-5). What is the greatest common divisor of d and q?
9
Suppose 3*l - 4*t = 399 + 526, -4*l = 4*t - 1280. What is the greatest common divisor of l and 180?
45
Let f = 244 - 84. Suppose -2*x - 2*i - 8 = 0, 4*x + 4 = -2*i - 18. Let s(n) = -n + 13. Let j be s(x). Calculate the highest common divisor of j and f.
20
Suppose -5*i = 142 - 502. Let g(q) = q**2 + 3*q + 9. Let s be g(0). What is the highest common factor of i and s?
9
Suppose -3608 = -12*a + 604. Let v be (37 - -1) + -5 + 6. Calculate the greatest common divisor of a and v.
39
Suppose -3*b + 8 + 3 = -5*z, 0 = 3*b - 3*z - 9. Let h be 1/(-3)*b - (-274)/6. What is the greatest common divisor of h and 18?
9
Suppose -12*n + 21*n = 36. Calculate the highest common divisor of n and 2.
2
Let z be 213 + 21/(-3) + 9. Calculate the highest common divisor of 86 and z.
43
Let w be 3 - (-5)/(10/36). Let d(m) = m**3 + 7*m**2 - 8*m + 7. Let q be d(-8). What is the greatest common factor of w and q?
7
Let g be (-346)/(-6) + 10/30. Calculate the greatest common divisor of 2 and g.
2
Let x be (2 - (-10)/(-4))*6/(-1). Suppose -4*c + x*c = -16. What is the greatest common factor of c and 24?
8
Let a(m) = -m**3 - 11*m**2 - m - 2. Let p be a(-11). Let v = p - -7. Calculate the highest common divisor of v and 64.
16
Let i = -25 - -35. Let w(h) = -h**3 + 4*h**2 + 6*h - 14. Suppose -68*d = -65*d - 12. Let l be w(d). Calculate the greatest common divisor of i and l.
10
Suppose -r = -d - 9, 0 = -3*d - 5 - 4. Let u(i) = 6 - 4 - r*i - 25*i. Let y be u(-2). What is the highest common divisor of y and 16?
16
Let t = 195 + 15. Calculate the highest common factor of t and 126.
42
Suppose 7*o - 692 = 372. What is the highest common divisor of o and 380?
76
Suppose 185 + 871 = 24*h. Let y(c) = 5*c**3 - 4*c**2 + 2*c. Let q be y(2). Let j = q + -17. What is the greatest common factor of j and h?
11
Let b = 0 + -8. Let n(p) be the second derivative of -p**4/12 - 17*p**3/6 - 11*p. Let g be n(b). What is the greatest common divisor of 18 and g?
18
Let l = 1372 - 845. Calculate the highest common divisor of 17 and l.
17
Let o(p) = -p**3 + 3*p**2 + 4*p - 2. Let i be o(3). Let u = i + -17. Let q = 27 + u. What is the greatest common divisor of 30 and q?
10
Let v be ((-14)/(-7))/((-4)/(-114)). Suppose -14 = -l + 5. What is the highest common divisor of l and v?
19
Let w be 330/7 + (-258)/(-301). What is the highest common divisor of w and 3?
3
Let l(g) = -g**2 + 6*g - 8. Let q be l(4). Let b be 2 + 12 + q + -3. What is the highest common factor of 11 and b?
11
Let f be 2 + 2 - (-26 + 16). Calculate the greatest common factor of 574 and f.
14
Let a be ((-22)/(-8))/((-2)/(-8)). Let k = -9 + a. Suppose -f + 4*h + 5 = 0, 4*f - 2*h - k*h - 32 = 0. Calculate the highest common factor of 63 and f.
9
Let b be (-2)/3 + 14/3. Let n = -22 - -18. Let q = b - n. What is the greatest common divisor of 48 and q?
8
Let g(b) = -b**3 + 2*b. Suppose 0 = 5*z + 2*d + 12, d - 7 = 3*z - 2. Let x be g(z). What is the greatest common factor of x and 44?
4
Let z(v) = v. Let s be z(-2). Let a = s - -4. Let m(t) = 82*t - 2. Let w be m(a). Calculate the greatest common factor of 18 and w.
18
Let t(m) be the second derivative of 1/3*m**3 - 3/10*m**5 + 1/6*m**4 + 0 + 1/2*m**2 + 4*m. Let h be t(-1). Calculate the greatest common divisor of 7 and h.
7
Let f(o) = o**2 - 7*o - 1. Suppose -2*d + 18 = -0*d. Suppose -d - 27 = -5*k + 4*q, -1 = -q. Let c be f(k). What is the greatest common divisor of 49 and c?
7
Let k be (8/10)/((-4438)/555 + 8). Calculate the greatest common divisor of 74 and k.
74
Let g be 9 + 62/2 + 8. What is the greatest common factor of 48 and g?
48
Suppose -6*w + 10*w + 72 = 0. Let k = -12 - w. What is the greatest common divisor of 6 and k?
6
Suppose r = -5*b - 80, -3*b - 88 = 2*r + 37. Let h = 95 + r. Suppose 5*z - 10 = h. What is the greatest common divisor of z and 50?
10
Let z(b) = 6*b + 6. Let c be z(-4). Let a be 39/(-2)*84/c. Suppose 3*l - 22 = 17. What is the highest common factor of l and a?
13
Suppose -23*y + 3336 = -2736. What is the greatest common divisor of 88 and y?
88
Let t = 167 + -111. Let g = t + -44. What is the highest common divisor of 48 and g?
12
Let o be (-2 + 4 + -60)/(3/(-12)). What is the highest common divisor of 174 and o?
58
Let g(s) = 13*s**3 + 2*s**2 - s. Let b be g(1). What is the highest common divisor of 6 and b?
2
Let q be (-3 - 30/(-9))/(6/342). Calculate the greatest common factor of 1273 and q.
19
Let x be 17/68 + (-114)/8. Let q(y) = -y**2 - 15*y - 1. Let p be q(x). Let t be -2 + (4/2 - -13). Calculate the highest common factor of t and p.
13
Suppose -f = f - 10. Suppose -13*z = -134 - 386. What is the greatest common factor of z and f?
5
Let g = -151 - -242. What is the highest common factor of g and 39?
13
Let i(b) = b**3 - 23*b**2 + 25*b - 30. Suppose j = 2*l + 18, 2*j + 2*l - 23 = 25. Let m be i(j). Calculate the highest common factor of 4 and m.
4
Let l(f) = -3*f**3 - 13*f**2 + 10*f - 21. Let q be l(-8). Calculate the greatest common divisor of 36 and q.
9
Let s(n) = n**3 - 5*n**2 - 16*n + 8. Let i be s(7). Let b = -6 + 8. Let r be b/i - (-39)/9. Calculate the greatest common factor of 20 and r.
4
Let k(q) = -q**3 + 20*q**2 - 76*q + 6. Let n be k(14). Calculate the greatest common factor of 354 and n.
118
Let x = 131 - 185. Let v be (-822)/x - (-4)/(-18). Let j(t) = 74*t**2 + 1. Let i be j(1). What is the highest common divisor of i and v?
15
Let w(x) = -x**2 - 9*x + 19. Let g be w(-10). Calculate the highest common divisor of 45 and g.
9
Let k be (3721/(-122))/((-1)/2). What is the greatest common divisor of k and 793?
61
Let l(p) = p**2 - 3*p + 14. Let s be l(11). Calculate the highest common divisor of s and 24.
6
Let r = 27 - 20. Suppose r*f - 4*f = 15. Suppose -f*u + 73 = 18. Calculate the greatest common factor of 1 and u.
1
Let d(q) = q**2 + q + 9. Let h be d(-8). Let f = h - 41. Let k(i) = -i**3 - 2*i**2 + 11*i + 18. Let v be k(-6). What is the greatest common factor of v and f?
24
Suppose 2*f = -12 - 6. Let m be 0 + (-2 + f - 0). Let l(u) = -u - 3. Let w be l(m). Calculate the greatest common divisor of 12 and w.
4
Let n = -6 - -12. Suppose n*q + 20 = 86. Suppose -7 = -4*z - 3. Calculate the highest common divisor of z and q.
1
Let g(n) = -n**3 - 4*n**2 - 4*n + 6. Let v be g(-5). Let s = -21 + v. What is the greatest common factor of 210 and s?
30
Let p(u) = -21*u - 505. Let v be p(-29). Calculate the highest common factor of 156 and v.
52
Let p = -239 - -323. Calculate the greatest common divisor of p and 420.
84
Let z = -1064 + 1071. Calculate the greatest common factor of z and 868.
7
Let v(t) = -t**3 - 18*t**2 - 18*t - 12. Let o be v(-17). Suppose o*z + 335 = 3*b, -5*b + 614 - 63 = -z. What is the greatest common factor of 44 and b?
22
Let m be 9/(-3*4*(-2)/408). Calculate the highest common divisor of 9 and m.
9
Let q = -11 - -66. Suppose 0 = m + 5*i + 9, m + 3*i - 1 + 2 = 0. What is the highest common divisor of q and m?
11
Suppose 3*n = -0*g - 2*g - 91, -2*n + 158 = -4*g. Let a = g + 73. What is the greatest common divisor of 16 and a?
16
Let o be (-4)/(-6) + 143/33. Suppose 28 = -o*t + 68. Suppose 0 = d - t - 12. What is the greatest common factor of d and 60?
20
Suppose -255 + 849 = 11*f. Calculate the highest common factor of 1215 and f.
27
Let z = -913 + 923. What is the greatest common divisor of z and 500?
10
Suppose 2*b = -3*i + 2661, 0 = 2*i - 3*b - 792 - 969. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
- 192, 4*t + 108 = g + 7*t. List the prime factors of g.
3, 11
Let x(v) = -v**2 - 74*v - 595. What are the prime factors of x(-30)?
5, 29
Suppose 5*w = 2*n - 1249, 11*w = -4*n + 14*w + 2533. Let f = 1534 - n. List the prime factors of f.
3, 13, 23
Suppose -d = -5*t + 183, 3*d = t - 0*t - 31. Let f be (-4)/10 + t/5. Suppose -f = -3*y + 2. List the prime factors of y.
3
Suppose 0 = -2*z - 8, -6*r - 473 = -r - 3*z. Let l = r - -9. Let d = l - -128. What are the prime factors of d?
2, 5
List the prime factors of (12 - (-95514)/12)*2.
107, 149
Suppose -36803 = -15*v - 1433. Let k = v - 1379. What are the prime factors of k?
11, 89
Let a(f) = 3*f**3 - 3*f**2 + f + 8. Let u be a(3). Suppose -15 + 3 = 4*x, -5*w = -5*x + 720. What are the prime factors of 6*7/w + u/7?
3
Let k = 14 - 9. Suppose -1025 = -10*j + k*j. Let t = j - 120. What are the prime factors of t?
5, 17
Suppose -4*f = -17 - 3. Suppose 0 = f*z - 20, p + 6*z = 3*z. What are the prime factors of 131*(8/p)/(4/(-6))?
131
Suppose -u - 2 = -2*v, -14 = -3*u + 3*v - 5. Let m be u/4*6/(-4). List the prime factors of (2/m)/(16/(-1584)).
2, 3, 11
Suppose -x - 763 = -191. Let i = 880 + x. What are the prime factors of i?
2, 7, 11
Suppose -2*b + 68 = 5*m, -b - 20 = -m - 3*b. Suppose 3*j - 7*j = 0. Suppose j*z = -3*z + m. List the prime factors of z.
2
Suppose 0 = -42*f + 37*f + 4*b - 949, -12 = 3*b. Let l(s) = 68*s. Let n be l(4). Let t = n + f. What are the prime factors of t?
79
Let h(p) = -2*p**3 - 21*p**2 - 19*p - 397. List the prime factors of h(-24).
67, 233
Let v(g) = -29*g - 24. Let a = -250 + 245. List the prime factors of v(a).
11
Let d be ((-30)/75)/(4/(-4430)). Suppose -5*x = -d + 108. List the prime factors of x.
67
Suppose 5*o - 20 - 30 = 0. Let b(t) be the third derivative of t**5/60 - t**4/2 + 35*t**3/6 - 2189*t**2. List the prime factors of b(o).
3, 5
Suppose 549*n = 594*n - 1569780. What are the prime factors of n?
2, 3, 17, 19
Let n(j) = -5*j**2 + 25*j - 14. Let h be n(5). What are the prime factors of (-564)/5*35/h?
2, 3, 47
Let k be -8*(228/(-24) - 6/8). Let i = 125 + k. List the prime factors of i.
3, 23
Let i(f) = 3*f**3 + 18*f**2 + 35*f - 1210. List the prime factors of i(29).
2, 3, 5, 11, 89
Suppose -2*c - 5255 = -t, -165*t + 3*c = -168*t + 15783. What are the prime factors of t?
3, 1753
Let z = 138 + -145. Let i(p) = -115*p + 9. List the prime factors of i(z).
2, 11, 37
Let d be 1/2*14 - -1. Let v = 0 + 450. What are the prime factors of v/d - (-18)/24?
3, 19
Suppose 5*g - 4*g + 3*g = 22956. What are the prime factors of g?
3, 1913
Let g = -5813 + 19386. What are the prime factors of g?
7, 277
List the prime factors of ((-15)/12)/((-7)/(-22610)*40/(-144)).
3, 5, 17, 19
Let r = -580 + 358. Let j = 77 - r. What are the prime factors of j?
13, 23
Let d = -277 - -289. Suppose 1398 = 2*q - d. List the prime factors of q.
3, 5, 47
Let n be (-3)/(24/25 + -1). Suppose -b + 5*o = n + 4, -4*b + 5*o = 346. List the prime factors of -3 + (-5 - (-1 - 3)) - b.
5, 17
Let b(m) = -36*m**2 - 56*m + 2. Let a be b(-4). What are the prime factors of 12/10 - (-7)/(a/(-79790))?
1597
Let x(q) = -q**2 - q + 1. Let a(o) = 4*o**3 + 9*o**2 + 15*o + 74. Let s(l) = -a(l) - x(l). List the prime factors of s(-6).
3, 5, 13
Let i be ((-30)/40)/3*(-8)/(-2). List the prime factors of 1039 + (4 - 9) + (-3 - i).
2, 3, 43
Let s(a) = a**3 + 37*a**2 - 264*a + 29. What are the prime factors of s(-25)?
71, 199
Let h be 2 - (25422/(-39) + (-4)/26). Suppose -h = -13*s + 12*s. What are the prime factors of s?
2, 3, 109
Let o(d) = 147*d + 238. Let k be o(-11). Let s = k + 2373. What are the prime factors of s?
2, 7, 71
Suppose 0 = 2*j + 4, 2*j - 3*j = c. Suppose 2*r - 8 = 0, -d + 4*d - r = c. Suppose -5*p + 499 = 4*v, -d*p + p = -3*v + 398. What are the prime factors of v?
131
Suppose 4*p = -2*r + 56, -4*p + 30 = 3*r - 30. Let m be -50*(p/(-5) + 2). Let f = m - -6. What are the prime factors of f?
2, 13
List the prime factors of 2582 + 8*17/(-34).
2, 1289
Let y(t) = 31*t**2 - 103*t + 1654. What are the prime factors of y(36)?
2, 7, 389
Let w be (-1)/(-2 + 6) - (-583)/44. Suppose 23*d + w*d - 19656 = 0. What are the prime factors of d?
2, 3, 7, 13
Suppose 48*h - 18*h - 53220 = 0. Suppose 5*s + 2848 = 2*l, -s + h + 5400 = 5*l. What are the prime factors of l?
2, 3, 239
Let k be (-14)/(-5)*((-180)/8)/(-9). Let n be (1953/(-6))/k*-2. Suppose c - 39 - n = 0. What are the prime factors of c?
2, 3, 11
What are the prime factors of (((-90)/27)/10)/(2/18) - -13865?
2, 29, 239
Let v(s) = -5*s**3 - s**2 + s - 22. Let i be v(5). Let w = 283 - i. List the prime factors of w.
2, 5, 19
What are the prime factors of (7551 + 4)*(11 - (-50)/(-5))?
5, 1511
Let h = -423 - -438. What are the prime factors of h/20 - (-22855)/28?
19, 43
Let s = 659 + -969. Let x = -29 - s. What are the prime factors of x?
281
Suppose 1888 = 5*i + 11*i. Suppose s = 29 + i. What are the prime factors of s?
3, 7
Let m be 3/4 + 12555/(-20). Let s = m + 1314. List the prime factors of s.
3, 229
Let c(x) = 4*x - 33*x**3 - 32*x**3 + 3*x**2 - 28*x**3. Let m(l) = -92*l**3 + 2*l**2 + 3*l. Let w(z) = -3*c(z) + 4*m(z). List the prime factors of w(-1).
2, 11
Suppose -89*b = -341*b + 2112768. List the prime factors of b.
2, 131
Let l = -30 - -34. Suppose 3*f = l*h + 2173, 0*h + 729 = f + h. List the prime factors of f.
727
Suppose -22*s + 690833 - 24607 = 0. What are the prime factors of s?
11, 2753
Let y(m) = 2*m**3 - 7*m**2 - 6*m + 1. Let k = -75 + 72. Let r be (-1)/(k*2/36). What are the prime factors of y(r)?
5, 29
Let y(p) = -356*p - 4626. List the prime factors of y(-33).
2, 3, 1187
Suppose -d = y - 42, 0 = -3*y + 6*d - 3*d + 156. Suppose y*v - 79567 = -27914. List the prime factors of v.
7, 157
Let p(l) = 1017*l**2 + 336*l + 23. What are the prime factors of p(-4)?
14951
List the prime factors of (-35)/1*(-21 + 2492/(-140)).
2, 7, 97
Suppose z + 0*z + u + 20 = 0, 2*u = z + 14. Let v be 171/z + (-1)/(-2). Let x = v - -95. What are the prime factors of x?
2, 43
Let c = 40 - 40. Suppose -5*x - 30 = h, -2*h = -c*h - 4*x + 4. List the prime factors of 1 + (-804)/h - 54/(-90).
2, 41
Let p(k) = 4*k + 17. Let z be p(-5). Let t be 6 + 2 + 0/4 + z. Let w = 9 - t. What are the prime factors of w?
2
Let h be 60/45 + (-188677)/3 + -1. List the prime factors of (-10)/35 + h/(-63).
2, 499
Suppose -286*f + 293*f = 61215. List the prime factors of f.
3, 5, 11, 53
Let w = 2535 - 2533. Let l(s) = 2 + 17*s**3 - s**2 + 0*s + 2*s - s. What are the prime factors of l(w)?
2, 17
Let n = 322 - 320. List the prime factors of ((10248/35)/(-6))/(n/(-10)).
2, 61
Let x(y) = -y**3 - y**2 + y. Let l(i) = -12*i**3 + i**2 + 3*i - 6. Let n(p) = -l(p) + 6*x(p). Let k be n(4). Let u = k - 128. What are the prime factors of u?
2, 3
Suppose 0 = -13*r + 8*r + 10. List the prime factors of 210/((r/3*3)/2).
2, 3, 5, 7
Let g be ((-2276)/(-6) - -3)*(6 - 3). Suppose 2*f = -3*p + g, 17 - 7 = -2*p. List the prime factors of f.
7, 83
Let c(k) = k + 6. Let p be c(-6). Suppose 3*a - 2*d - 1863 = p, 0 = -21*d + 24*d + 9. List the prime factors of a.
619
Let j be (8/(-40) + (-38)/(-40))*68. Let a = 52 - j. List the prime factors of a - -92 - (-6 - -2).
97
Suppose 0 = -4*z + a + 1561, 0*z = -z - 2*a + 397. Let t = z + -256. What are the prime factors of t?
3, 5
Let w = -25823 - -44967. List the prime factors of w.
2, 2393
Let o be ((2/6)/(-1))/(36/(-13716)). Let y = 1234 + o. What are the prime factors of y?
1361
Let w be (-5 - (0 - 5))/(-1). Suppose 2*c = -2*x - w*x + 1652, -5*c + 10 = 0. Suppose -8*y + x = -576. What are the prime factors of y?
5, 7
Suppose -k = -3*g - 5*k - 52, 3*g + 70 = 5*k. Let o = g + 23. List the prime factors of (4/2)/(o/27).
2, 3
Suppose 124897 = 4*d + 3*i, 0 = 135*d - 130*d + i - 156146. What are the prime factors of d?
31231
What are the prime factors of (-370941)/(-366)*((1 - 0) + 5)?
3, 2027
Suppose 0*p + 24*p + 2141 = -3235. Let f(n) = -106*n - 1. Let k be f(3). Let j = p - k. List the prime factors of j.
5, 19
Let b = 17996 + -11158. List the prime factors of b.
2, 13, 263
Let f = 7931 - 4498. List the prime factors of f.
3433
Let v(c) = 845*c**2 - 2023*c - 10. What are the prime factors of v(8)?
2, 19, 997
Suppose 9 = 7*k + 2. Let j be 34/4*(k*-6)/1. List the prime factors of j*(7
|
{
"pile_set_name": "DM Mathematics"
}
|
85900.
273132*z**3
Find the second derivative of -5277*d*y**4 - 102721*d*y - 2*d + 63*y**5 wrt y.
-63324*d*y**2 + 1260*y**3
What is the third derivative of 82253*c**4 - 2*c**2 - c - 2338 wrt c?
1974072*c
What is the second derivative of -5464*q**4 - 2*q**3 - 22769*q?
-65568*q**2 - 12*q
What is the first derivative of -6461*d**3*w**2 + 2*d**2*w**2 + 4*w**2 - 2330 wrt d?
-19383*d**2*w**2 + 4*d*w**2
Find the third derivative of 363*r**6 - 463*r**4 - 2*r**2 - 965601*r wrt r.
43560*r**3 - 11112*r
What is the second derivative of -2*x**3*z + 50214*x**2*z**3 + x*z**3 + 30761*x*z**2 wrt x?
-12*x*z + 100428*z**3
Differentiate -637786*v - 265063 wrt v.
-637786
What is the third derivative of 5*q**6 - 86*q**4 + 6*q**2 - 2*q - 2943 wrt q?
600*q**3 - 2064*q
What is the second derivative of -21530*g**3*v**3 - 105*g**3*v - 42*g**3 + g*v**4 - v wrt v?
-129180*g**3*v + 12*g*v**2
Find the second derivative of 21*b**2*g**2 - b**2*g + 25106*b**2 + 12*b*g**2 + 40496*b*g + g**2 wrt b.
42*g**2 - 2*g + 50212
What is the second derivative of 883524*d**2 + 3781*d - 3?
1767048
What is the second derivative of -2*f**5 + 21*f**3 - 387*f**2 + 8*f + 5359?
-40*f**3 + 126*f - 774
Find the third derivative of -364712*h**3*x**3 - 55*h**2*x**2 + 56*h**2 + h*x**2 + 33*x**3 wrt h.
-2188272*x**3
What is the third derivative of 3*c**2*h**2*z**2 + 2*c**2*h*z**2 + 4*c**2*z**3 + 6226*c**2*z + 151669*c*h**2*z**3 - 2*c*h**2*z + 3*z**2 - 2*z wrt z?
24*c**2 + 910014*c*h**2
Find the first derivative of 21773*a - 18426 wrt a.
21773
What is the first derivative of 122526*c*v**2 + c - 66792*v**2 wrt c?
122526*v**2 + 1
Find the second derivative of 7195*a**2*f**4 + 88*a**2*f**3 - 11703*a**2 + 6*f wrt f.
86340*a**2*f**2 + 528*a**2*f
What is the second derivative of -6*b**4 - 3208*b**2*j**2 - 80*b*j**2 - 4*b - j - 13 wrt b?
-72*b**2 - 6416*j**2
Find the third derivative of -505593*i**3 + 91684*i**2 - 9*i.
-3033558
What is the second derivative of 7*w**4 - 275939*w**2 + 30*w - 42191?
84*w**2 - 551878
What is the first derivative of -2*c**4 + 4579*c**2*y + 5592*y + 3 wrt c?
-8*c**3 + 9158*c*y
Differentiate 1013*z**4 + 120*z + 334910 with respect to z.
4052*z**3 + 120
Find the third derivative of 127*d*s**4 - 13*d*s**3*z**3 - 7*d*s - 1889*d*z**3 - 3*s**4 - 2*s**2*z wrt s.
3048*d*s - 78*d*z**3 - 72*s
Find the first derivative of 4*h**3 + 6208*h**2 - 39773.
12*h**2 + 12416*h
What is the first derivative of 271052*d*f + 331*f + 625 wrt d?
271052*f
Find the third derivative of -3*g*n**4 + 3*g*n**3 - 17*g*n**2 + g*n + 5*n**4 + 425*n**3 + 2*n**2 - 21*n wrt n.
-72*g*n + 18*g + 120*n + 2550
What is the second derivative of -67*m**3 + 163*m**2 + 211940*m wrt m?
-402*m + 326
Differentiate -b**4*t - 9942*b*t - 8*t - 4270 wrt b.
-4*b**3*t - 9942*t
What is the third derivative of 2226*s**4 - 5*s**3 - 95*s**2 - 5*s - 10?
53424*s - 30
What is the second derivative of 138037*b**2 + 24*b + 1490?
276074
Find the first derivative of 124*a**4 - 2*a**2*c - 5429*a*c + c - 286130 wrt a.
496*a**3 - 4*a*c - 5429*c
What is the first derivative of 855186*p - 1443185?
855186
What is the third derivative of -28186*v**4 + 7*v**3 - 9*v**2 - 2*v - 32514 wrt v?
-676464*v + 42
What is the derivative of -436*h**2*x + 17*h + 21414*x - 2 wrt h?
-872*h*x + 17
Differentiate 7147*o*q - o - 16*q - 616 wrt o.
7147*q - 1
Find the second derivative of 3*f**2*i + 35187*f**2 - 1511*f*i - f + 2*i wrt f.
6*i + 70374
Find the third derivative of -16916*b**3*d**3 - b**3 - 35413*b**2*d**2 wrt d.
-101496*b**3
Find the second derivative of -28530*v**4 - 4*v**2 + 80799*v - 3 wrt v.
-342360*v**2 - 8
Find the third derivative of -36075*q**5 - 26*q**2 + 27*q + 5.
-2164500*q**2
What is the first derivative of -166162*y**2 + 11*y + 2984709 wrt y?
-332324*y + 11
Differentiate -29407*f**2*s - 121*f**2*t**3 - 3239*f*t**3 + 2*s*t**3 wrt s.
-29407*f**2 + 2*t**3
Find the second derivative of -319438*q**2 - 355182*q.
-638876
What is the second derivative of -31*n*s**2 - 10*n*s + n - 5434*s**2 - 74733*s wrt s?
-62*n - 10868
Find the third derivative of -20*k**5 - 2*k**3*q + 52*k**3 + 57*k**2 + k*q + 5*k - q wrt k.
-1200*k**2 - 12*q + 312
Find the third derivative of 5019*y**4 + 11*y**3 + 21*y**2 - 2*y - 199 wrt y.
120456*y + 66
Differentiate 12694*j**2*w**2*x - 305*j**2*w - 2*j*w**2*x - 219*j*w**2 + 3*w**2 with respect to x.
12694*j**2*w**2 - 2*j*w**2
Find the first derivative of -12696*r**4*u + 38*r**3*u + 772952*u wrt r.
-50784*r**3*u + 114*r**2*u
What is the second derivative of -203*c**2*h*l + 9*c**2*l + c**2 + 116*c*h - 102*c*l - 2*h*l wrt c?
-406*h*l + 18*l + 2
What is the second derivative of 49208*b**2*c**2 - 58*b*c**2 - 2*b + 2*c**2 wrt b?
98416*c**2
What is the second derivative of -w**4 - 4679*w**3 + w**2 - 18314*w?
-12*w**2 - 28074*w + 2
Differentiate -9206*b*c + 674934*b + 16*c + 2 wrt c.
-9206*b + 16
What is the second derivative of -18*x**4 - 45008*x**2 + 968968*x + 1 wrt x?
-216*x**2 - 90016
Find the first derivative of -40721*d*r**3 + 65204*r**3 wrt d.
-40721*r**3
Find the first derivative of 367*l*q**2 + 55*l + 176102*q**2 wrt l.
367*q**2 + 55
What is the second derivative of -4*f**4*h*s + 2304*f**3*h**2*s + 3*f*h**2*s + f - 19*s + 2 wrt f?
-48*f**2*h*s + 13824*f*h**2*s
What is the third derivative of -573731*i*x**5 + 696*i*x**2 + 7*i*x - 6*i - x**6 + 2 wrt x?
-34423860*i*x**2 - 120*x**3
Find the first derivative of d*n**2*t - 30751*d*t**3 - 2*n**2*t**3 - 21*n**2*t**2 + t**3 + 11*t**2 wrt d.
n**2*t - 30751*t**3
Find the second derivative of -1632*j**4*s**2 - 28*j**3*s**2 + 138*j + 333*s**2 wrt j.
-19584*j**2*s**2 - 168*j*s**2
Find the second derivative of 4577*w**4 + 18*w**3 - 8155*w - 5.
54924*w**2 + 108*w
Find the third derivative of -1671371*c**3 + 1318582*c**2 wrt c.
-10028226
Find the first derivative of 2640*i**2*r - 16*i**2*t - 6*i*r*t - 6*i*t + 150*r*t + 17*r wrt t.
-16*i**2 - 6*i*r - 6*i + 150*r
What is the third derivative of -13700*h**3*v + 23*h**2*v - 468*h**2 + 2*v - 1 wrt h?
-82200*v
What is the second derivative of 85*x**4 + 45*x**3 - 36182*x - 1?
1020*x**2 + 270*x
Find the second derivative of 92653*x**4 - 3*x**3 + x**2 + 3*x - 147665 wrt x.
1111836*x**2 - 18*x + 2
Differentiate -4*s*z**3 - 1474*s*z**2 + 23808*s - 3 wrt z.
-12*s*z**2 - 2948*s*z
Find the third derivative of 73311*z**3 + 20*z**2 + 3*z + 22.
439866
Find the first derivative of -41*b**2*l**2*r - 134*b**2*l**2 - 9*b**2*l - 1190*l*r**3 + 49*l wrt r.
-41*b**2*l**2 - 3570*l*r**2
What is the second derivative of 1026833*l**4 + 10734*l - 2?
12321996*l**2
Differentiate -5*s*t**4 - 3*s*t**3 + 34925*s + 11*t**2 with respect to t.
-20*s*t**3 - 9*s*t**2 + 22*t
What is the third derivative of 6*a**3*l*p**2 + 4464*a**3*p**2 - a**3*p - 2*a**2*p**2 + 3*a*l*p**2 - 4*a*p**2 - 5*l*p + 114*p**2 wrt a?
36*l*p**2 + 26784*p**2 - 6*p
Find the first derivative of -39608*k - 39389.
-39608
Find the second derivative of -30*n**3*p - 8529*n**2*p**2 - n*p**2 + n*p + 11939*n wrt n.
-180*n*p - 17058*p**2
Find the first derivative of 366622*f + 2500625.
366622
What is the third derivative of 35*i**3*l**4 + 754639*i**3*l**2 + 2343*i**2*l**6 - l**2 wrt l?
840*i**3*l + 281160*i**2*l**3
What is the third derivative of -11612*l**5 - 2*l**3 - 170514*l**2 wrt l?
-696720*l**2 - 12
Find the third derivative of 644817*j**5*x**3 + 11*j**2 - 345*x**3 - 40 wrt j.
38689020*j**2*x**3
Find the first derivative of 2*c**4 + 20151*c**2 - 430503 wrt c.
8*c**3 + 40302*c
Find the third derivative of -44610*j**6 - 29640*j**2 wrt j.
-5353200*j**3
Find the second derivative of 22*h**3*k**2 - 10637*h**3*k + 3*h*k**2 + 6253*h*k + 4*h - 2*k wrt h.
132*h*k**2 - 63822*h*k
Find the second derivative of 36481*o**5 + 3*o**2 - 2*o + 224424 wrt o.
729620*o**3 + 6
What is the second derivative of -1358393*u**2 + 2*u - 567250?
-2716786
What is the second derivative of 653*c**4*d**2 + 33*c**3*d**3 - 827*c*d**3 - 4*c - 4 wrt c?
7836*c**2*d**2 + 198*c*d**3
Find the second derivative of -7*a*l*q**2*r + 4*a*l*q*r - 132*a*q*r**2 - 2*a*q*r + 5*l*q**2*r**2 + 15*l*q*r + 11*q**3*r**2 - 3*q**3 wrt r.
-264*a*q + 10*l*q**2 + 22*q**3
Find the first derivative of 6*l**4 + 204797*l**2 - 716957 wrt l.
24*l**3 + 409594*l
Find the second derivative of 2*h**2*l**2 + 372*h**2*l + 6*h**2 + 112*h*l**2 - 3*h*l + 59*h - 2 wrt h.
4*l**2 + 744*l + 12
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 7*u - 42 = -0*u. Is (u - 2) + (3037 - 0) a prime number?
True
Suppose -168*k - 21 = -175*k. Suppose k*w - 6051 = 2*m, -11*w - 8070 = -15*w + 2*m. Is w prime?
False
Let n = 33428 - 13375. Is n composite?
True
Let j(k) = -k**3 + 2*k**2 - 5*k - 25. Suppose 366 = -26*y + 54. Is j(y) a composite number?
True
Suppose -11*a = -6 - 38. Let i(d) = 324*d**2 + 13*d - 9. Is i(a) a composite number?
False
Let u(f) = -f**3 + 10*f**2 - 8*f - 5. Let w be u(9). Suppose 4*p = -5*z - 172, 0 = w*p - 0*p + 12. Let x = 127 + z. Is x composite?
True
Let h(v) = -6*v**3 - 3*v**2 + 43*v - 5. Let g(n) = -5*n**3 - 4*n**2 + 41*n - 3. Let p(o) = 3*g(o) - 2*h(o). Is p(-12) prime?
True
Let l(t) = 234*t - 37. Let f(h) = h**2 + 10*h + 15. Let v(w) = w**2 + 16*w + 30. Let x be v(-13). Let q be f(x). Is l(q) prime?
True
Let x(n) = 16*n**3 - 29*n**2 + 41*n + 59. Let c be x(18). Suppose 7*j = c - 22392. Is j a composite number?
True
Is 1 - -590803 - (176 - 187) prime?
False
Let o(b) = -b**2 + b - 1. Let a(r) = 299*r**2 - 5. Let l(f) = -a(f) + 4*o(f). Let w be l(-2). Let m = w - -1860. Is m a composite number?
False
Let y(w) = -6*w + 55. Let t be y(8). Suppose -t*v + 3397 = -2742. Is v a prime number?
True
Suppose -2*o + 63709 = 771. Is o composite?
False
Suppose 0 = 3*p - 4*k - 52, p + 3*p - 61 = -3*k. Suppose 4*y + 4*y = p. Is ((-2)/5)/(y/(-1490)) a prime number?
False
Let y be 4*(34/(-8) - (-17 - -20)). Let g = 626 - y. Is g a prime number?
False
Suppose 42*f + 174 = 44*f. Let m be (f/6*124)/(2/8). Suppose 14 = -4*l + 6, -4*y - 2*l = -m. Is y a prime number?
False
Let b be 5175/(-18)*(-5 - (-57)/15). Let v(h) = 399*h - 2. Let z be v(2). Let l = z - b. Is l a prime number?
False
Let c(z) = -7*z - 43. Let k be c(-9). Suppose k*n - 15*n - 14710 = 0. Is n a composite number?
True
Suppose w + 4*t + 10 = -10, 2*w - 5*t + 105 = 0. Let m = 40 + w. Suppose -6*y + 3127 - 43 = m. Is y prime?
False
Let c(n) = 20277*n**3 - n**2 + 5*n - 1. Let y be c(2). Suppose 25*p - y - 145854 = 0. Is p composite?
False
Let x(s) = 5*s**2 + 5*s + 2. Suppose -3 = 6*u + 3. Let l be x(u). Is (2327/26)/((l/(-12))/(-1)) a composite number?
True
Let k(v) = 996*v - 3. Let m(c) = -4980*c + 14. Let u(i) = -11*k(i) - 2*m(i). Is u(-6) a composite number?
False
Let a(q) = -729*q + 737. Is a(-48) a composite number?
False
Let b = -28 + 62. Is ((-1941)/(-9))/(b/(-6) - -6) prime?
True
Is (0 - 7) + (-5 - (-33218 - 17)) a composite number?
False
Let k = 3887 + -11. Let w = -1663 + k. Is w a composite number?
False
Suppose 7*t - a - 29581 = 2*t, 2*a = -t + 5925. Let w = t - 71. Suppose 9*g = -5*x + 6*g + w, -5*g = -5*x + 5870. Is x composite?
False
Let n = 89 + -87. Suppose 4*q = -0*d - 5*d + 4, n*d + 1 = q. Suppose 2*r = 2*t - 2*r - 722, d = 5*t + r - 1860. Is t prime?
False
Let j(f) = 1453*f - 283. Let v be (-52)/(-12) - (-10)/15. Is j(v) a composite number?
True
Let t = 112702 - -23493. Is t prime?
False
Let i = -42 - -62. Suppose 0*q = -q + r - 2, 0 = -5*q - r + i. Is (-1)/(-2)*q + 643/2 a composite number?
True
Is -8 - (-3 + 1843758/(-21)) a prime number?
True
Suppose -64116 = -13*r + 17940. Suppose 5*x - 4753 = r. Is x composite?
False
Let o(l) = 12012*l**2 + 223*l + 1114. Is o(-5) a composite number?
False
Is (18 - 411606/(-9)) + -15 a prime number?
True
Let o(t) = -5*t**3 - 14*t + 12. Let z be 3/(-39) - 336/26. Is o(z) a prime number?
False
Let s be 6/18*(-3 - 0). Let x be s + -3 - 0 - -340. Suppose -x - 2186 = -2*a + 4*n, -3*a + 3783 = 3*n. Is a composite?
True
Suppose 75*w = -16*w + 1114841. Is w a prime number?
True
Let q(h) = h**2 + 4*h - 187. Let o be q(35). Suppose -34*w - 5*u = -38*w + 4701, -4*u = -w + o. Is w a prime number?
False
Let v be 1/2 - 29109/(-62). Suppose -39*k = -44*k + v. Is k prime?
False
Is ((-209697)/12)/((-60)/1680) prime?
False
Suppose 0 = -a - 5*s + 29441, -7*s + 58896 = 2*a - 4*s. Is a a composite number?
True
Is (293036/(-3))/((-160)/120) composite?
False
Let r(n) = -n**3 + 12*n**2 + 2*n - 21. Let u be r(12). Suppose 2*y - 15 = -u*y, -5*m + 6095 = 5*y. Let b = 2909 - m. Is b a prime number?
True
Let d(b) = 0*b**2 - 8 + 5*b**2 + 9*b - 37*b. Is d(-13) a prime number?
True
Let z(w) = -w**2 - 24*w - 87. Let n be z(-4). Is 23/(69/8580) - n a composite number?
True
Suppose -2*i + 4894 + 3494 = 0. Suppose -5*c - t + 6476 = -i, 4*t = -3*c + 6419. Suppose -5*v - 2*y + 614 = -c, -4*v + 3*y = -2216. Is v prime?
False
Let u = 1051495 - 518646. Is u a composite number?
False
Let d(h) = -383*h - 9. Let t be d(-7). Let a = 3988 - t. Is 9/6*a/6 prime?
False
Let f(x) = 24*x - 39. Let s be f(3). Let o = 700 - s. Is o a prime number?
False
Suppose -3*t + 1499854 = 5*w, -2*t - w + 934021 + 65870 = 0. Is t a prime number?
True
Suppose 20 = j + 4*b, -3*j - 2 = -2*b + 8. Let r(f) = 2*f**2 + f + 1 + 4*f**3 + j*f**3 + 0*f. Is r(4) prime?
True
Let p = -713 - -720. Suppose -120380 = -p*h - 12573. Is h a composite number?
False
Suppose 5*s + 11 = x, 2*x = -2*s - s + 9. Suppose 207883 = 19*a - x*a. Is a a composite number?
False
Let k(q) = 168*q + 62. Let v be k(3). Let f = v + -381. Is f composite?
True
Let y(a) = a**2 + 4*a - 20. Let d = 19 - 27. Let l be y(d). Is 3/(0 + l/316) prime?
True
Let h(s) = s + 40. Suppose -2*b + 5*l = -57, 5*b - 204 = 5*l - 39. Suppose 2 = 2*w - b. Is h(w) a prime number?
True
Suppose -28*p - 187913 - 336779 = 0. Let u = p - -58386. Is u prime?
False
Suppose 2*m - 2*d + 2 = 0, -2 = -2*d + 4. Let w(g) = 3*g - g**2 + 5*g - m*g + 87*g**3 - 3 + 0. Is w(2) prime?
True
Let f = 563508 + -112951. Is f a composite number?
False
Suppose 2*i = 4*o - 14, 1 = -2*o + 7*o + 3*i. Suppose o*j = 4*r - 64878, -j + 30781 = 3*r - 17865. Is r composite?
False
Let t be -3 + (-1 - 0)*3. Let x be (3/t)/(8/(-64)). Suppose -3*k + 2*k + 222 = n, x*k - 858 = 2*n. Is k composite?
True
Let k = -13 + 18. Let s(q) = 371*q + 7. Let g(o) = 349*o + 7. Let y(h) = -4*g(h) + 5*s(h). Is y(k) a composite number?
True
Is (18/(-4)*10/12)/(393/(-2569172)) prime?
False
Let z be ((-180)/(-27))/((-4)/6). Is 335/z*-2*2 a prime number?
False
Let d(m) = 248*m - 73. Let a = 64 + -55. Is d(a) composite?
True
Let u = -75060 - -274979. Is u prime?
False
Suppose 22*h + 25460041 = -4*h + 66238935. Is h a prime number?
True
Let j = 215 + -210. Suppose 20*s - j*h + 20388 = 23*s, -4*h + 20385 = 3*s. Is s prime?
True
Suppose 760*g - 7906 = 758*g + 2*y, 3965 = g - 4*y. Is g a composite number?
True
Let b(o) be the first derivative of -5*o + 5/2*o**2 + 5/2*o**4 + 19 + 2/3*o**3. Is b(3) a prime number?
False
Let b be 1/(5/15) - 3. Let x be -149*(-1 - b)*2. Suppose 3*l + x = 5*l. Is l a composite number?
False
Let a(y) = -y**2 - 13*y + 6. Let c be a(-13). Let z(w) = 2*w**2 - 8*w - 4. Let r be z(c). Let n(k) = -k**2 + 27*k - 7. Is n(r) composite?
True
Let u = -968 - -1424. Suppose -1709 = -z - u. Suppose 0 = -4*d + 5*d - z. Is d composite?
True
Let h(i) = 32*i**3 - 3*i**2 + 5*i + 6. Let k be h(-5). Let w = 9535 + k. Suppose -w = 4*r - 7*r - 4*m, -5*m = -4*r + 7234. Is r a composite number?
False
Let b = 12 + -8. Suppose 2 = -2*q, -b*m - q = 450 - 3205. Is m a composite number?
True
Let i = 2975 - 2975. Suppose 4*y - 4*q = 4, 2*q + 8 = 5*y - y. Is -863*(y/((-3)/1) - i) composite?
False
Suppose -l + 5*l = 2*y + 2, l + 12 = 3*y. Suppose -y*q = 5*x - 5, -2*q + 0 = -3*x + 23. Suppose -x*b + b + 1828 = 0. Is b prime?
True
Is 584889*((-208)/24 + 9) - (-3 + 3) composite?
False
Let i(n) = 33*n**2 + 322*n - 393. Is i(50) a prime number?
True
Let j(h) = -6*h - 32. Let p be j(-6). Suppose g + 0 = -2*n - 2, n + 2*g + p = 0. Suppose 3*s - 2634 = -3*r, n = -3*r - 0*s - s + 2636. Is r a composite number?
True
Is 9 - (-29 + 19 + 10*-31572) prime?
True
Suppose 5*d - 27 = -w + 3*w, -5*d = -4*w - 29. Let k = -1956 - -1958. Suppose k*c = -d*p + 4153, -2*c + 2490 = 3*p + c. Is p composite?
True
Let w be ((-12)/(-20))/((-2)/(-10)). Suppose w*f = f + 8. Suppose f*i + 4*j + j = 1093, -15 = -3*j. Is i prime?
False
Let x(y) = 2*y - 22. Let h be x(13). Suppose -5*w - 587 = -2*z, h*z - 637 - 502 = 3*w. Let j = -27 + z. Is j composite?
True
Let g = 189 + -184. Let s(k) = -k**3 + 4*k**2 - 4*k + 3. Let u be s(3). Suppose g*y - 1456 - 1749 = u. Is y prime?
True
Let l = 1676 + 37. Let a be (-3 + 9 + 4)*-97. Let u = a + l. Is u prime?
True
Suppose 2*t - 2*d - 6010 = -7*d, -
|
{
"pile_set_name": "DM Mathematics"
}
|
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