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dm_mathematics_mini

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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