text stringlengths 12 178 | module stringclasses 8
values | template stringclasses 56
values |
|---|---|---|
Calculate the remainder when 62 is divided by 24.
14 | numbers | div_remainder |
Calculate the remainder when 107 is divided by 75.
32 | numbers | div_remainder |
What is the remainder when 2998 is divided by 120?
118 | numbers | div_remainder |
Calculate the remainder when 340 is divided by 70.
60 | numbers | div_remainder |
What is the remainder when 110 is divided by 33?
11 | numbers | div_remainder |
What is the remainder when 96 is divided by 26?
18 | numbers | div_remainder |
Calculate the remainder when 1676 is divided by 29.
23 | numbers | div_remainder |
What is the remainder when 258 is divided by 146?
112 | numbers | div_remainder |
What is the remainder when 64 is divided by 39?
25 | numbers | div_remainder |
Calculate the remainder when 1793 is divided by 46.
45 | numbers | div_remainder |
Let d be 1/3 - (-16)/6. Suppose -d*m + 216 = m. What is the remainder when m is divided by 19?
16 | numbers | div_remainder_composed |
Suppose g + 12 = 4*g. Suppose 0*t = g*t. Suppose 3*c - 5*l = -22, t = c + 2*c + 3*l - 18. Calculate the remainder when c is divided by 1.
0 | numbers | div_remainder_composed |
Suppose 2*d + 9 = 5*t, -4*d + 20 - 2 = 2*t. Let z = 5 + t. Calculate the remainder when 14 is divided by z.
6 | numbers | div_remainder_composed |
Let q(y) be the third derivative of -y**4/8 - y**3/3 + 3*y**2. Let m(s) = 6*s + 1. Let o be m(-1). What is the remainder when q(o) is divided by 5?
3 | numbers | div_remainder_composed |
Let u(l) = 7*l + 9*l - 5*l + 1. Let y be u(4). Suppose -j + 23 = o, o = -2*j - 0*o + y. What is the remainder when j is divided by 8?
6 | numbers | div_remainder_composed |
Suppose 2*u - 5 = 9. Let z(w) = -4*w**3 + 2*w + 1. Calculate the remainder when u is divided by z(-1).
1 | numbers | div_remainder_composed |
Let d = -75 - -116. What is the remainder when d is divided by 11?
8 | numbers | div_remainder_composed |
Let a(o) be the first derivative of -3*o**2/2 + 3*o - 2. Let d be a(-2). Suppose 7*f = 4*f + d. Calculate the remainder when 4 is divided by f.
1 | numbers | div_remainder_composed |
Let d be 608/(-10) - 1/5. Let r = d - -96. What is the remainder when r is divided by 18?
17 | numbers | div_remainder_composed |
Let k = 8 + -6. Suppose -3*d + 8*d - 60 = -5*a, 29 = k*a + d. What is the remainder when a is divided by 9?
8 | numbers | div_remainder_composed |
Calculate the highest common factor of 70 and 98.
14 | numbers | gcd |
Calculate the highest common factor of 3682 and 28.
14 | numbers | gcd |
What is the greatest common factor of 20 and 4220?
20 | numbers | gcd |
What is the highest common divisor of 424 and 1378?
106 | numbers | gcd |
What is the highest common factor of 156 and 48?
12 | numbers | gcd |
Calculate the greatest common divisor of 166 and 747.
83 | numbers | gcd |
What is the highest common factor of 234 and 819?
117 | numbers | gcd |
Calculate the highest common factor of 126 and 91.
7 | numbers | gcd |
Calculate the highest common divisor of 6 and 698.
2 | numbers | gcd |
Calculate the greatest common divisor of 368 and 460.
92 | numbers | gcd |
Let t be 4/(16/28)*1. What is the greatest common factor of 77 and t?
7 | numbers | gcd_composed |
Let c(u) = 4 - 94*u. Let r be c(-4). Let w = -220 + r. Calculate the greatest common factor of w and 16.
16 | numbers | gcd_composed |
Let s = 10 + -6. Let a = 15 - -17. What is the highest common factor of s and a?
4 | numbers | gcd_composed |
Let x be (-59)/(-5) + 3/15. Let v be (-182)/3*x/(-8). Calculate the highest common divisor of 13 and v.
13 | numbers | gcd_composed |
Let d be (-15)/(-5) + 13*2. Let u = -15 + d. Calculate the greatest common factor of u and 21.
7 | numbers | gcd_composed |
Suppose 3*m = 4*r + 94, -2*m + 6*r - 3*r = -63. What is the highest common divisor of m and 330?
30 | numbers | gcd_composed |
Suppose -7 + 97 = 2*b. What is the highest common divisor of 15 and b?
15 | numbers | gcd_composed |
Let t be 1/2 - (-44)/8. Suppose -10*i + 44 = -t*i. Suppose 0 = -5*g + 43 + 342. What is the highest common divisor of i and g?
11 | numbers | gcd_composed |
Let j(x) = 288 - 2*x. Let o be j(0). What is the greatest common factor of 32 and o?
32 | numbers | gcd_composed |
Let u be (2/(-4))/((-2)/8). Suppose -u*q = -3*q + 10. What is the greatest common factor of q and 10?
10 | numbers | gcd_composed |
Is 397 a multiple of 20?
False | numbers | is_factor |
Is 961 a multiple of 54?
False | numbers | is_factor |
Does 3 divide 1403?
False | numbers | is_factor |
Does 38 divide 380?
True | numbers | is_factor |
Is 13 a factor of 1513?
False | numbers | is_factor |
Is 19 a factor of 95?
True | numbers | is_factor |
Does 117 divide 14508?
True | numbers | is_factor |
Is 19 a factor of 1206?
False | numbers | is_factor |
Is 41 a factor of 451?
True | numbers | is_factor |
Is 82 a factor of 738?
True | numbers | is_factor |
Let u(v) = -v**2 - 2. Let n be u(0). Let t = -3 + 3. Does 23 divide 48 - t/n - 2?
True | numbers | is_factor_composed |
Suppose -4*v - 10 = -r, -6*r - 3*v = -3*r - 15. Is r a multiple of 6?
True | numbers | is_factor_composed |
Let l(p) = -p**3 - 10*p**2 - p - 4. Does 6 divide l(-10)?
True | numbers | is_factor_composed |
Suppose 3*k + 3 = 4*k. Suppose 5*t - k*t - 20 = 0. Does 7 divide t?
False | numbers | is_factor_composed |
Suppose 0*y - 150 = -3*y. Suppose -y = -4*g + 54. Is 10 a factor of g?
False | numbers | is_factor_composed |
Suppose -5*i = u - 27, -2*i = -9 - 1. Let m be 2/(0 + u)*3. Suppose m*t = -2*t + 95. Is 7 a factor of t?
False | numbers | is_factor_composed |
Let k be 6/(-5)*(-15)/3. Suppose -k*c + c = 3*l + 116, -2*c + l = 42. Is 11 a factor of (0 + c)*(-2)/4?
True | numbers | is_factor_composed |
Let d(y) = 11*y**3 - y**2 + y. Let i be 2 - (-1 - -1 - -1). Is d(i) a multiple of 11?
True | numbers | is_factor_composed |
Suppose -u = w - 4, -2 = -u - 4. Suppose w*q - 120 = q. Suppose 0 = -4*k + 2*k + q. Does 12 divide k?
True | numbers | is_factor_composed |
Let c(f) = 4 - 4*f. Does 8 divide c(-7)?
True | numbers | is_factor_composed |
Is 17251 a prime number?
False | numbers | is_prime |
Is 42433 composite?
False | numbers | is_prime |
Is 178319 prime?
False | numbers | is_prime |
Is 30939 a prime number?
False | numbers | is_prime |
Is 1597 a prime number?
True | numbers | is_prime |
Is 447067 a composite number?
False | numbers | is_prime |
Is 3251 composite?
False | numbers | is_prime |
Is 66337 prime?
True | numbers | is_prime |
Is 6377 a prime number?
False | numbers | is_prime |
Is 21778 composite?
True | numbers | is_prime |
Suppose 5*t - 1090 = 5*y, -2*t = -6*t - 4*y + 864. Is t a prime number?
False | numbers | is_prime_composed |
Let q be ((-37)/(-1) - 2) + -1. Suppose 5*l - 199 = -q. Is l a prime number?
False | numbers | is_prime_composed |
Suppose -304 = -4*l - 3*q - q, -5*q + 158 = 2*l. Suppose -3*c + l = -c. Is c a composite number?
False | numbers | is_prime_composed |
Suppose -o = -5*x + 317, 2*o + 422 = -4*x - 156. Let j = -170 - o. Is j composite?
False | numbers | is_prime_composed |
Is (-4)/6*951/(-2) composite?
False | numbers | is_prime_composed |
Suppose 8 = 4*n + 4*b, b - 3*b + 4 = 3*n. Let u(a) = -4*a - 11*a + n*a + 1. Is u(-6) prime?
False | numbers | is_prime_composed |
Suppose 0 = 4*s + 20, 3*s + 11 = v - 2*v. Suppose -2*z = i - 6*z + 99, v*z + 12 = 0. Is (-1 - -2)/((-3)/i) a composite number?
False | numbers | is_prime_composed |
Let o(i) = i**2 + 13*i + 13. Let b be o(-13). Let h = b + -7. Is h a prime number?
False | numbers | is_prime_composed |
Is (-18)/(-30) + (-3756)/(-15) a composite number?
False | numbers | is_prime_composed |
Suppose 3*n - 3*y = 21, 16 = 2*n - y - 1. Suppose z - n - 3 = 0. Is z a prime number?
True | numbers | is_prime_composed |
Calculate the common denominator of -30 and -73/45.
45 | numbers | lcm |
Find the common denominator of 73/30 and -57/40.
120 | numbers | lcm |
What is the smallest common multiple of 24 and 201?
1608 | numbers | lcm |
Find the common denominator of -45/22 and 23/268.
2948 | numbers | lcm |
What is the least common multiple of 2 and 33?
66 | numbers | lcm |
Calculate the common denominator of -19/9 and 21/71.
639 | numbers | lcm |
Find the common denominator of -5/9 and -38/63.
63 | numbers | lcm |
What is the common denominator of -91/15 and 10/249?
1245 | numbers | lcm |
Calculate the lowest common multiple of 663 and 30.
6630 | numbers | lcm |
Calculate the lowest common multiple of 15 and 297.
1485 | numbers | lcm |
Let h be (28/(-90))/((-12)/30585). Let n = -795 + h. Find the common denominator of 78/(-20)*(-1)/(-3) and n.
90 | numbers | lcm_composed |
Let d(m) = m**3 + 5*m**2 + 5*m + 1. Let z be d(-4). Let q be (z - -2)/((-1)/(-113)). Calculate the common denominator of -41/20 and q/(-14)*(4 + -5).
140 | numbers | lcm_composed |
Let m(c) = 11 - c. Let j be m(10). Calculate the common denominator of j - (-3)/(-27)*-2 and -56/3.
9 | numbers | lcm_composed |
Let m = -119969/18 - -6670. Let n = m + -493/18. Calculate the common denominator of n and 44.
3 | numbers | lcm_composed |
Let h(l) = -l**3 + 7*l**2 + 3*l - 7. What is the lowest common multiple of 22 and h(7)?
154 | numbers | lcm_composed |
Suppose 5*j - 25 = 0, -3*b = -3*j - 2*j - 47. Suppose -2*v + 8 = -b. What is the least common multiple of 4/6*(0 + 3) and v?
16 | numbers | lcm_composed |
Calculate the common denominator of -11/3 and 24/(-21) - (-2 + 3).
21 | numbers | lcm_composed |
Suppose 2*o - 20 = -4*m, -2*o + 0 = 2*m - 28. What is the least common multiple of o and 14?
126 | numbers | lcm_composed |
What is the least common multiple of 24 and ((-36)/(-15))/(6/15)?
24 | numbers | lcm_composed |
Let b = 2482 - 24927/10. What is the common denominator of b and 71/2?
10 | numbers | lcm_composed |
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