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, -0.3, -1, -3, -6.973
Put -1, 1/7, -0.6, -0.2 in increasing order.
-1, -0.6, -0.2, 1/7
Put -0.3, -1, 2 in descending order.
2, -0.3, -1
Put 1, 4, 3, 143 in descending order.
143, 4, 3, 1
Sort -4, -16, 5, -2 in decreasing order.
5, -2, -4, -16
Put 4/3, 0.36, 2/9, -5 in increasing order.
-5, 2/9, 0.36, 4/3
Put 23, 0, 0.5 in decreasing order.
23, 0.5, 0
Put -2/3, 32/21, -0.1 in descending order.
32/21, -0.1, -2/3
Sort 0.1, -3/7, 1/6 in decreasing order.
1/6, 0.1, -3/7
Sort -4, 4/3, 2, 0.3 in decreasing order.
2, 4/3, 0.3, -4
Put -0.4, -5/3, -0.1 in ascending order.
-5/3, -0.4, -0.1
Sort -2, 1, 264 in descending order.
264, 1, -2
Sort 0.2, -2/7, -324, 2/5 in increasing order.
-324, -2/7, 0.2, 2/5
Sort 31, 4, -1.
-1, 4, 31
Sort 7, -7, 0, -4, -3.
-7, -4, -3, 0, 7
Put 5, 4, 3, -7, -4 in descending order.
5, 4, 3, -4, -7
Put -15, -0.7, 9, -1 in descending order.
9, -0.7, -1, -15
Sort 3, -1, 5, 2/15 in descending order.
5, 3, 2/15, -1
Put 5, 3, 1, 2 in decreasing order.
5, 3, 2, 1
Put 1.5, -1/5, 4, 0.2 in decreasing order.
4, 1.5, 0.2, -1/5
Sort 4.984, -0.5, -0.1 in increasing order.
-0.5, -0.1, 4.984
Sort -0.2, -6/7, 10, -3.
-3, -6/7, -0.2, 10
Sort 0.14, -4, -2/17 in decreasing order.
0.14, -2/17, -4
Put 0.5, -5, 5, 28 in decreasing order.
28, 5, 0.5, -5
Sort -0.4, 3/8, 2/9, -622 in descending order.
3/8, 2/9, -0.4, -622
Put -6, -2, 1158 in decreasing order.
1158, -2, -6
Sort -1.8, -1/11, -2/3, -3/7 in increasing order.
-1.8, -2/3, -3/7, -1/11
Sort -26, 5, 10, -3 in ascending order.
-26, -3, 5, 10
Put -1, 3, -3, -5 in increasing order.
-5, -3, -1, 3
Sort -2/9, -5, -0.2 in ascending order.
-5, -2/9, -0.2
Sort 1, 0, -1, -3, 43 in ascending order.
-3, -1, 0, 1, 43
Sort -7, 0.1, -0.03, -1, -2/5.
-7, -1, -2/5, -0.03, 0.1
Put -0.03, 1, -0.4 in descending order.
1, -0.03, -0.4
Put 0.3, 2/5, -2, 418 in ascending order.
-2, 0.3, 2/5, 418
Sort -1, 2, -10 in increasing order.
-10, -1, 2
Sort -4, 1, -279.
-279, -4, 1
Put 4/3, -4, 0.313, -0.4, 0.1 in ascending order.
-4, -0.4, 0.1, 0.313, 4/3
Sort 3, -101, 1.
-101, 1, 3
Sort 1, -40, 25 in descending order.
25, 1, -40
Put -1/2, 0.4, 4, 0.5 in increasing order.
-1/2, 0.4, 0.5, 4
Sort 1/3, -0.25, 4, -2/3 in descending order.
4, 1/3, -0.25, -2/3
Sort 5, -7, -1, -3 in increasing order.
-7, -3, -1, 5
Put 2, -4, 5, -75 in decreasing order.
5, 2, -4, -75
Put -24, 9, -7 in descending order.
9, -7, -24
Sort 0.18, 1/2, 0.26, -0.2 in decreasing order.
1/2, 0.26, 0.18, -0.2
Sort -9, 4, -19, -10 in decreasing order.
4, -9, -10, -19
Put 1, -0.2, 0.06 in ascending order.
-0.2, 0.06, 1
Sort 1, 0, -292.
-292, 0, 1
Sort 0, -0.5, 5/2, 1/30, 2/17 in decreasing order.
5/2, 2/17, 1/30, 0, -0.5
Sort -0.4, 1, 71, -5.
-5, -0.4, 1, 71
Sort 5, 0.1, -210, 0 in descending order.
5, 0.1, 0, -210
Put -0.2, 5, -33, -1/2, 2 in decreasing order.
5, 2, -0.2, -1/2, -33
Put -5, 2, -411 in descending order.
2, -5, -411
Put 13, 0, -79 in descending order.
13, 0, -79
Put -6, -1/4, 0.4, -3/7, -1 in descending order.
0.4, -1/4, -3/7, -1, -6
Sort 7, 2, 0.4, -18, -0.1.
-18, -0.1, 0.4, 2, 7
Sort -3, 1, 2, -13 in descending order.
2, 1, -3, -13
Sort -1, -5, -4, 75 in descending order.
75, -1, -4, -5
Put -3, 7, 17, 1 in ascending order.
-3, 1, 7, 17
Put -3, 4/7, -3/5, 211 in decreasing order.
211, 4/7, -3/5, -3
Sort -1, 5, 3, 12.
-1, 3, 5, 12
Sort -3, -2, 250, -0.3 in ascending order.
-3, -2, -0.3, 250
Sort -4, -211, 2 in increasing order.
-211, -4, 2
Put -7, -17, 1, 5 in descending order.
5, 1, -7, -17
Put -2, 0, -1/8, -0.1 in descending order.
0, -0.1, -1/8, -2
Put -5, 0.6, -5.4 in decreasing order.
0.6, -5, -5.4
Sort 90, 5, -18, -1 in ascending order.
-18, -1, 5, 90
Sort -2, -1/8, -0.031, 9, -4 in ascending order.
-4, -2, -1/8, -0.031, 9
Sort 1, 0.2, -3, 0.5, 0.202 in descending order.
1, 0.5, 0.202, 0.2, -3
Put 1/3, -1/5, -1, 0.1 in ascending order.
-1, -1/5, 0.1, 1/3
Sort -3/4, 2, -286, -3 in decreasing order.
2, -3/4, -3, -286
Put 6, -4, 4 in decreasing order.
6, 4, -4
Sort 1, -1, -3, -113 in increasing order.
-113, -3, -1, 1
Put 0, 0.3, 7, 6, 5 in ascending order.
0, 0.3, 5, 6, 7
Put 4, -0.2, 4/9 in descending order.
4, 4/9, -0.2
Sort 9, 1, 146 in increasing order.
1, 9, 146
Sort 3, 14, 2, 81.
2, 3, 14, 81
Sort -81, -8, -3 in descending order.
-3, -8, -81
Sort 5, -3, 0, -1255.
-1255, -3, 0, 5
Put -176, -2, -3, -0.2, -4 in ascending order.
-176, -4, -3, -2, -0.2
Put 44, 4, -6, -7 in increasing order.
-7, -6, 4, 44
Sort -1/5, 5/2, 29/2, 2, -1/3 in descending order.
29/2, 5/2, 2, -1/5, -1/3
Sort -2, -611, 3 in increasing order.
-611, -2, 3
Sort -1, -2/5, 0.072, -3, 0.1 in ascending order.
-3, -1, -2/5, 0.072, 0.1
Sort 5, -4, 4, -51 in ascending order.
-51, -4, 4, 5
Put 0, -2, -5, 1, -10 in ascending order.
-10, -5, -2, 0, 1
Sort -0.3, -2283, 0.2 in descending order.
0.2, -0.3, -2283
Put -2/11, 3/5, -0.14, 0.05 in increasing order.
-2/11, -0.14, 0.05, 3/5
Sort 7, -0.09, 0.03, 0, -5.
-5, -0.09, 0, 0.03, 7
Sort -1, -7, -40 in increasing order.
-40, -7, -1
Sort 2, -1, 6.
-1, 2, 6
Put -4, -9, 4, -6 in decreasing order.
4, -4, -6, -9
Sort 3, -2, -2/7, -24, 0.1 in ascending order.
-24, -2, -2/7, 0.1, 3
Put 1/3, -9, 0.5, 1 in descending order.
1, 0.5, 1/3, -9
Sort 2, 0.1, 3, 1/5, 0 in descending order.
3, 2, 1/5, 0.1, 0
Sort 0, 5, -2/19, -0.01, -1 in descending order.
5, 0, -0.01, -2/19, -1
Put -1/3, 1/2, 0.02, 1, -1.1 in increasing order.
-1.1, -1/3, 0.02, 1/2, 1
Sort -7/6, 1/4, -0.5, 2/15, -2/5 in increasing order.
-7/6, -0.5, -2/5, 2/15, 1/4
Put 0.1, 2/11, -1/8 in increasing order.
-1/8, 0.1, 2/11
Put 1, 28, 4 in decreasing order.
28, 4, 1
Put -10.54, 2/5, 4 in descending order.
4, 2/5, -10.54
Sort -4, 2, -2, 940, -3 in ascending order.
-4, -3, -2, 2, 940
Sort -5, 132, 5, -4 in increasing order.
-5, -4, 5, 132
Sort 20, -5, 3, 4, 5 in descending order.
20, 5, 4, 3, -5
Put -0.2, 6/11, 4, 0 in ascending order.
-0.2, 0, 6/11, 4
Sort -6, -1, 51 in increasing order.
-6, -1, 51
Sort 170, 1/5, -7/2, 1 in descending order.
170, 1, 1/5, -7/2
Sort -20, 2, 0, -2, 13.
-20, -2, 0, 2, 13
Sort 345/7, 3, 1/11 in decreasing order.
345/7, 3, 1/11
Sort -1, -101, 4 in ascending order.
-101, -1, 4
Sort -411, 3, 2, 13 in descending order.
13, 3, 2, -411
Sort 4, 9, -4, 6 in ascending order.
-4, 4, 6, 9
Sort 10, -1, -5, 21, 1.
-5, -1, 1, 10, 21
Put 23, -8, -16 in descending order.
23, -8, -16
Sort -1, 1/7, -2, 0.27.
-2, -1, 1/7, 0.27
Sort -4, 3, 1, 120 in decreasing order.
120, 3, 1, -4
Put -2/5, -0.0875, -0.1, 0.4 in decreasing order.
0.4, -0.0875, -0.1, -2/5
Sort 21, 9, 3, 1 in decreasing order.
21, 9, 3, 1
Put -20, 24, 2 in descending order.
24, 2, -20
Sort -4, -5, 10 in ascending order.
-5, -4, 10
Sort 3, 16, -452.
-452, 3, 16
Put -5, 11, 4, 2, -4 in descending order.
11, 4, 2, -4, -5
Sort -2, -30, -4 in increasing order.
-30, -4, -2
Put -5, 0.05, -3/4 in descending order.
0.05, -3/4, -5
Put -4, 29, -3, 11 in increasing order.
-4, -3, 11, 29
Put 4, -6, 2, 5, -117 in increasing order.
-117, -6, 2, 4, 5
Sort 47, -2, 5 in descending order.
47, 5, -2
Sort -1, -6, 0, 3.
-6, -1, 0, 3
Put 889, -1, 4, 2 in descending order.
889, 4, 2, -1
Sort 3, -5, 4, 2 in decreasing order.
4, 3, 2, -5
Sort -4, -5, -2, 2 in descending order.
2, -2, -4, -5
Sort 10, -1, 4.
-1, 4, 10
Put -0.3, 0.1, -4, -5 in increasing order.
-5, -4, -0.3, 0.1
Put -10, 0, -91 in decreasing order.
0, -10, -91
Put -3, -5, -2, 8, 1 in increasing order.
-5, -3, -2, 1, 8
Put -6, 15, -2, 4 in descending order.
15, 4, -2, -6
Sort -307, 2, 29 in decreasing order.
29, 2, -307
Put 2/27, -5, -3/4, -0.3 in descending order.
2/27, -0.3, -3/4, -5
Sort -4, 204, 4 in ascending order.
-4, 4, 204
Sort 3, 1/6, 0, 0.04 in ascending order.
0, 0.04, 1/6, 3
Sort 5, -7, -9 in descending order.
5, -7, -9
Put -3, 3, -1158 in decreasing order.
3, -3, -1158
Put 3, -3, 4, -4 in decreasing order.
4, 3, -3, -4
Put -6, 4, 0.1, 19 in ascending order.
-6, 0.1, 4, 19
Sort 12, -19, -4, -5.
-19, -5, -4, 12
Put -104, 6, 2 in increasing order.
-104, 2, 6
Sort -122, 0.3, -32 in increasing order.
-122, -32, 0.3
Sort -102, 5, -5, 4 in decreasing order.
5, 4, -5, -102
Sort 3.4, -0.4, 0.1, -3 in increasing order.
-3, -0.4, 0.1, 3.4
Sort -3, 1, 3 in descending order.
3, 1, -3
Sort 0.1, -7, 1, -2/13 in decreasing order.
1, 0.1, -2/13, -7
Sort -2, 1, -24, 4, -3 in d
|
{
"pile_set_name": "DM Mathematics"
}
|
e the highest common factor of u and 6.
6
Let u = 11 - 21. Let x(w) = w + 12. Let h be x(u). What is the greatest common factor of h and 5?
1
Suppose -2*i + 38 = 2*r, 2*r = 2*i + r - 41. What is the highest common divisor of 80 and i?
20
Let q(i) = i**3 + i**2 - i + 54. Let z be q(0). Suppose -3*k = 3 - 57. What is the highest common divisor of k and z?
18
Let k(a) = -a**3 + 9*a**2 + 10*a + 2. Let w be k(10). Calculate the highest common factor of 18 and w.
2
Suppose 0 = -13*l + 289 + 101. What is the greatest common divisor of 20 and l?
10
Let m be ((2 - 3) + 1)*-1. Suppose m = 2*t + 4 - 14. What is the highest common divisor of t and 50?
5
Suppose -4*m + 11 = -3*m. Calculate the highest common divisor of 11 and m.
11
Suppose 0 = 2*i - 5*i + 9. Suppose -i*c + 4 + 8 = 0. Suppose -3*m + 1 = -c*m, m = -2*h + 131. What is the greatest common factor of h and 6?
6
Suppose 0*d = -4*d + 48. Let u be (-16)/10*(-10)/4. What is the highest common factor of u and d?
4
Suppose 0 = -a - 1 - 1. Let h be 838/7 + a/(-7). Suppose -16 = -4*u + 44. Calculate the highest common factor of h and u.
15
Let a = 0 - 6. Let n = a + 8. What is the greatest common divisor of n and 16?
2
Suppose -4*d + d + 36 = 0. What is the highest common factor of 12 and d?
12
Let j(g) = g**2 - 5*g + 17. Let s be j(6). Calculate the greatest common factor of 161 and s.
23
Let g = 1 - 2. Let z be g*1 - -13*1. Let m(n) = 2*n - 4. Let l be m(17). Calculate the greatest common factor of z and l.
6
Let n be (15/5)/((-3)/(-640)). Suppose -n = p - 6*p. What is the greatest common divisor of 16 and p?
16
Suppose 0 = 4*t - 628 - 112. What is the highest common divisor of t and 74?
37
Let j = 12 - 7. Suppose 4 + 11 = j*c. Suppose -4*d + 7 = c. What is the highest common factor of d and 7?
1
Let a(x) = -x**3 - 6*x**2 - 3*x - 5. Let z be a(-6). Let n be -1 - (3 + (-3)/3)*-2. Suppose -20 - z = -n*v. Calculate the greatest common factor of v and 1.
1
Suppose 0 = -5*r + 1045 - 100. Calculate the greatest common divisor of 21 and r.
21
Suppose 0*c + 240 = 2*c. Suppose -4*s + c = -0*s. Let y be (-49)/(-4) + 1/(-4). Calculate the greatest common divisor of y and s.
6
Suppose 4*k + 18 = 3*f - 0*k, -5*f + 30 = -5*k. Suppose 3*s - f = -0. Let j = 0 + s. What is the highest common factor of j and 2?
2
Let q(v) be the second derivative of 7*v**3/3 + 9*v**2/2 - 4*v. Let m be q(9). What is the greatest common factor of 15 and m?
15
Let p(l) = -l**2 - 9*l - 4. Let z be p(-11). Let k = z + 40. Calculate the greatest common factor of 70 and k.
14
Let l(m) = m**3 + 4*m**2 + m + 4. Let w be l(-3). Let i = 12 - w. Calculate the greatest common factor of i and 8.
2
Suppose -11 = -r - 4. What is the greatest common divisor of 77 and r?
7
Let m = 3 - 0. Suppose -2*i - i = -m. What is the greatest common divisor of i and 7?
1
Let j = -15 + 48. Calculate the highest common divisor of j and 22.
11
Let b be -1*(2 + -30 + -2). Suppose b = -g + 4*g. Let p(c) = -c**3 - 5*c**2 - 4*c + 2. Let u be p(-4). What is the greatest common factor of u and g?
2
Suppose 4*v - 15 = -4*z + 5*z, 0 = 4*v - 20. Let j = 2 + -1. What is the greatest common factor of j and z?
1
Suppose -w - 4*w + b + 81 = 0, -73 = -5*w + 3*b. Let h = w + -8. Calculate the highest common divisor of h and 99.
9
Let x(r) = r**2 + 9*r - 5. Let d be x(-10). What is the greatest common divisor of d and 1?
1
Let g(l) = 2*l**2 + 4*l + 4. Let o be g(-3). Suppose -2*j + 98 = o. Suppose 2*p + 2*p - 44 = 0. Calculate the highest common factor of p and j.
11
Let k = 28 + 28. What is the greatest common divisor of 8 and k?
8
Let r(s) = 2*s - 7. Let d be r(-9). Let n = d + 80. Suppose 5*l + 4*k - 284 = 0, n = 2*l + 5*k - 45. What is the highest common factor of l and 12?
12
Suppose -33 = -8*y + 135. Let t = 4 - 2. Suppose -2*a + 2*g = t*a - 94, 3*a = -4*g + 43. Calculate the highest common divisor of y and a.
21
Let k be 1*(-2)/(-2) - -2. Suppose 4*l + k = 4*p + 51, 5*l - 2*p - 51 = 0. Suppose -z - 4 + 7 = 0. What is the highest common divisor of z and l?
3
Let a(s) be the third derivative of 5*s**5/12 + s**3/6 - 7*s**2. Let v be a(1). What is the greatest common factor of 13 and v?
13
Let r(q) = 3*q**3 + 7*q**2 + 7*q - 2. Let p(w) = w**3. Let t(f) = 2*p(f) - r(f). Let k be t(-6). Calculate the highest common factor of k and 72.
8
Suppose -2*p = -50 - 6. Let d(x) = -x**2 + 6*x - 5. Let g be d(3). Calculate the highest common factor of p and g.
4
Let s(o) = 8*o**2 - 7*o + 12. Let q be s(4). Calculate the highest common factor of 8 and q.
8
Let h = 11 + -6. Suppose h + 5 = -o + 5*a, 4*o - 52 = -3*a. Calculate the greatest common factor of o and 5.
5
Let j = -84 - -356. Calculate the highest common divisor of 17 and j.
17
Suppose -4*v + 375 = 39. Let u = 4 + 10. Calculate the highest common factor of u and v.
14
Suppose 0*u + u + 41 = m, m - 46 = 2*u. Let c be (m/(-15))/((-3)/15). What is the greatest common factor of c and 132?
12
Let a(i) = -i**3 - 14. Let p be a(0). Suppose 16 = -0*h - 2*h. Let t = h - p. What is the highest common divisor of 12 and t?
6
Let h(l) = -l**3 - 8*l**2 - 8*l. Let g be h(-7). Suppose -3 = q - g. Suppose -f - q = -13. Calculate the greatest common factor of f and 72.
9
Let x = -20 + 32. What is the greatest common factor of 24 and x?
12
Let z be (-454)/(-6) + 7/21. Let m(g) = 5*g**2 - g + 1. Let c be m(2). Calculate the greatest common factor of z and c.
19
Suppose 2*g = 5*m - 218, -g = -5*m - 3*g + 222. Suppose 0 = -r + 5*r - m. Calculate the greatest common factor of 33 and r.
11
Let t = -20 - -32. Suppose 2*k = 3*g - k - 15, -4*k + 20 = 4*g. Suppose g*m = 4*x - 106, 5*x + 4 = m + 126. Calculate the highest common divisor of t and x.
12
Suppose -2*o = -2*q - 10, 3*o = -o - 3*q + 6. Let t = o - 3. Suppose w + 5*f - 25 = 0, f + t*f - 145 = -3*w. Calculate the greatest common factor of 20 and w.
10
Let a(x) = x**3 + 9*x**2 - 12*x + 4. Let g be a(-10). What is the highest common factor of g and 6?
6
Let l(a) = -a**2 + 5*a. Let v be l(4). Suppose -2*u = -3*u - v. Let t be (-61)/(-7) - u/14. Calculate the highest common factor of 27 and t.
9
Let o be (75/(-4))/(15/(-160)). Suppose 2*x = -3*x + o. Let r(s) = s**3 - 4*s**2 - 5*s + 4. Let v be r(5). Calculate the greatest common factor of v and x.
4
Let n be 12/(-54) - 938/(-9). Calculate the highest common factor of n and 13.
13
Let v = -64 - -134. Let g(m) = 2*m**3 - 3*m**2 + 1. Let t be g(3). What is the highest common factor of t and v?
14
Let q(h) = -18*h - 2. Let v be q(-5). What is the highest common divisor of 8 and v?
8
Suppose -x - 58 = -2*m, 5*m - 118 = -2*x + 36. Let i be (-8 - -47) + 6*1. Calculate the greatest common factor of m and i.
15
Suppose -2*d = -7 - 17. Let f = 42 + 6. Calculate the highest common factor of d and f.
12
Let c(f) = -f**3 + 6*f**2 + 9*f + 6. Let j be c(6). What is the greatest common divisor of j and 12?
12
Let u = 10 - 6. Suppose 5*o - 345 = -5*q, -294 = -u*o + 2*q - 0*q. Calculate the highest common factor of o and 9.
9
Let p(z) = -z + 45. Let g be p(9). What is the highest common divisor of g and 162?
18
Let c = 12 + 8. Calculate the highest common factor of 50 and c.
10
Let w = -67 + 71. Calculate the greatest common divisor of w and 2.
2
Let f(m) = m**2 - 7*m - 13. Let w be f(9). Suppose 3*c + 87 = 6*c + 4*q, w*c + q = 128. Let t be 1/2*(-1 - -11). What is the greatest common divisor of c and t?
5
Let o = 71 + 9. Let l be 2/(-3) + (-248)/(-12). Calculate the greatest common divisor of l and o.
20
Suppose v = 5*z + 40, 4*v = -2*z - 3*z + 110. Let a = v - 10. Calculate the greatest common divisor of a and 50.
10
Let n(h) = -2*h**2 + 28*h + 10. Let g be n(14). What is the highest common divisor of 30 and g?
10
Suppose -3*t = -7*t + 72. Suppose -3*j + 57 = t. Calculate the highest common factor of j and 117.
13
Let o = 5 + -6. Let v be -1 - (-8 + o/(-1)). Calculate the highest common divisor of 42 and v.
6
Let s = -3 - 4. Suppose -4*h + 8 + 0 = 0. Let q be 220/14 - h/s. Calculate the greatest common divisor of q and 24.
8
Suppose -5 = 5*r - 20. Suppose 2*b = r*b - 30. Suppose 150 = -2*u + 4*u. Calculate the greatest common divisor of u and b.
15
Suppose 2*z - 11 = -1, -z - 6 = -a. Let i be (-8)/44 + 167/a. Calculate the highest common factor of 3 and i.
3
Suppose 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
ird smallest value in 0.5, o, r?
r
Let o be ((-6)/(-26))/((-3)/4). What is the biggest value in o, -0.2, -3?
-0.2
Let j = 26.41 + 0.59. Let t = j + -26.6. Let q = 2.04 - 0.04. Which is the second biggest value? (a) q (b) t (c) -2/7
b
Let d be ((-8)/12 + 213/378)*-123. Let f = -77/6 + d. Let w be (1 - 1)/2 + -3. Which is the third biggest value? (a) 1/6 (b) w (c) f
b
Let k = -12.7 + 12. Suppose 0 = -9*v - 7 + 7. Which is the third smallest value? (a) k (b) 0.5 (c) v
b
Let h = 4370 - 4375. Let w = -0.7 - -1. What is the second biggest value in -2, w, h?
-2
Suppose 3*b = -p + 14 + 26, 4*p - 4*b = 80. Suppose -7 = -6*z - p. What is the smallest value in z, 5, -1?
z
Let f = 7 + -6.6. Let o = f + 0.6. Let y = 0.564 - 0.264. What is the second smallest value in y, o, -1/4?
y
Let r = 227.9 + -1.9. Which is the second biggest value? (a) -1/3 (b) 0 (c) r
b
Let i = -45 - -23. Let f = -1718.2 - -1914. Let h = f - 196. What is the smallest value in 0, h, i?
i
Let v = -0.151 + 4.151. What is the biggest value in 0.1, v, 5, 2/11?
5
Let r = -270.9 + 271. Let s = -0.28 - 0.02. Which is the third biggest value? (a) -1 (b) s (c) 0.5 (d) r
b
Let y = 37.11 - 0.11. Let t = y - 37.3. Which is the third smallest value? (a) -2 (b) -4 (c) t (d) 10
c
Let x = -0.519 - -0.54. Let q = x - 0.421. Which is the third biggest value? (a) -1 (b) 5 (c) 1 (d) q
d
Let w = -1.411 - -1.511. What is the fourth smallest value in w, 17, 0.2, -5/6?
17
Let q = -0.1 + -11.9. Let i = -23 - -38. Let u = i + q. Which is the smallest value? (a) u (b) 4 (c) -0.3
c
Suppose -4*a + 18 = -2*s - 0*s, -4*a = s - 15. What is the third smallest value in -5, -1/6, -0.4, s?
-0.4
Let s = -2 - -2. Let h = 0.12 - s. Let n = h - 4.12. What is the third smallest value in 0.3, 2, n?
2
Suppose -4*n - 12 = -0*n. Let d = 4.099 - 0.099. What is the biggest value in -1/14, n, d?
d
Let t = 22 + -18. Let y = 52.5 - 53. What is the second biggest value in y, -0.4, t, -1?
-0.4
Suppose 16 = -0*m - 3*m + n, -24 = 2*m - 4*n. Let f be m + 20/6 - -2. What is the third smallest value in -4, f, -2?
f
Let h = -14.4 - 2.6. Let p = 13 + -25. Let b = h - p. What is the biggest value in 1/3, -3, b?
1/3
Let u(a) = a**2 + 5*a - 1. Let k be u(-4). Let x be 3/(54/k)*-3. What is the second biggest value in x, -2, -0.2?
-0.2
Suppose 5*v + 23 = 33. Suppose 0 = -4*l - 5*w + 76, 6*l - v*w = l + 95. Which is the fourth smallest value? (a) -0.3 (b) -1 (c) l (d) -4
c
Let i = -2 + 18. Let u = -2 + i. Let v = 12 - u. What is the smallest value in -0.3, v, -2/5?
v
Let x = 1 - -1. Let k = 42.98 - 43. Let i = 0.08 - k. Which is the second smallest value? (a) x (b) -4 (c) i
c
Let l = -80 + 401/5. Which is the smallest value? (a) -3 (b) -4 (c) 2 (d) l
b
Let c = 125 + -120. What is the third biggest value in -3/5, 1, c, 121?
1
Let s = 302 - 1207/4. Which is the smallest value? (a) s (b) 0.2 (c) 0.0055 (d) -1/6
d
Let t = 904 + -904.4. What is the second biggest value in t, 0.013, 2/5, 3?
2/5
Let u = 13/32 - 105/416. Let j be ((-2)/(-15))/((-28)/(-175)). What is the second biggest value in 1, 4, u, j?
1
Let j = -1201 + 1201. Let s be (-1 + 2)*(-20)/5. Which is the smallest value? (a) j (b) 0.3 (c) s (d) 1/5
c
Let w = -11 + 15. Which is the fourth biggest value? (a) -0.4 (b) 0.4 (c) -1/23 (d) w
a
Let t = -3.6 - -4. Let o = 1695 + -37307/22. Let m = -3/11 - o. What is the biggest value in m, t, 0.1?
m
Suppose -j - 26 = -22. Let c = 6749/8 + -845. Let x = c - -7/8. What is the third smallest value in 5, x, j?
5
Let u = -369 - -2215/6. Which is the third biggest value? (a) 51 (b) u (c) 3
b
Let r be ((-1)/(-17))/(11 + (-23)/2). What is the biggest value in 3/4, -4, r, 0?
3/4
Let h = 9.2 + -9. Let g = 9.3 - 10. Let s = -0.4 - g. What is the third smallest value in s, 3/7, h?
3/7
Let w be 9/2*(616/(-21))/(-11). Suppose -2*g - w = 2*g. Which is the fourth smallest value? (a) 3 (b) -1 (c) g (d) 2.5
a
Let h(w) = 7*w**2 + w - 2. Suppose 0*u + 2*u = 2. Let m be h(u). Let o be (m/4)/((-81)/12). What is the second smallest value in o, 0, 2?
0
Let w = -92 - -97. Let q(h) = 151*h + 1. Let u be q(1). Let z = u + -1066/7. Which is the biggest value? (a) z (b) 3 (c) w
c
Let d = -0.6 - -0.3. Let j = 0.0707 - 1.1417. Let o = j + 0.271. What is the biggest value in 1/4, d, o?
1/4
Let l = 1.49 - 1.61. Let z = -0.02 + 0. Let m = z - l. What is the second smallest value in m, 3, -9?
m
Let i = 664 + -617. Which is the second biggest value? (a) 0 (b) -0.5 (c) i
a
Let i = 526 + -2628/5. Let d be 7/(-18) - 1/(-6). Let l be 6/21 + 40/(-126). Which is the second smallest value? (a) l (b) i (c) d
a
Let j be ((-336)/35 - -10)/(1/5). What is the fourth biggest value in 3, j, 1, 1/2?
1/2
Let n = -3.16 + 2.8. Let w = -1.64 + n. Let q = -4.5 - 0.5. What is the biggest value in q, -2/7, w?
-2/7
Let b = 0.006 + 0.394. What is the second biggest value in b, 1/6, -3?
1/6
Let h = 26 - 17. Let n be (-1)/(-5) + h/30. Let a = -0.5 - -0.1. What is the second smallest value in -2, a, n?
a
Let l = 410 + -396. What is the second smallest value in 3, l, 0.2?
3
Suppose -30*j = -103 - 47. Let i = 1873/7 - 267. Which is the biggest value? (a) 2 (b) i (c) j
c
Let c(o) = -2*o - 9. Let a be c(-5). What is the biggest value in 2/7, -0.4, a, 0.3?
a
Suppose 0 = 2*y + 4*x - 22, -4*y = -2*x + 5*x - 19. Let p be (y - -1)/((-4)/10). Let t = 4.927 + -5.027. What is the second smallest value in p, 3/5, t?
t
Let o = -0.05 + -0.35. Let j be ((-136)/476)/((-6)/(-7)). What is the biggest value in 1, 0.2, o, j?
1
Let z = 495 - 493. Let u be -1*(1 - 4/10). What is the third smallest value in z, 5/4, u?
z
Let x = 0.5 - 0.7. Suppose 645*v + 6 = 639*v. Which is the smallest value? (a) -2/9 (b) x (c) v
c
Let z = 1.53 + -1.63. Which is the second smallest value? (a) z (b) 24 (c) -4
a
Let n be 3/9 - (-10)/24. Let t = 68.1 - -3.9. Let j = -77 + t. Which is the second biggest value? (a) j (b) n (c) -3
c
Let n = 178 + -174. Which is the second biggest value? (a) 0.7 (b) 0.5 (c) -0.1 (d) n
a
Let w = -2.1 - -2. Let r(h) = -h**3 - 5*h**2 - 5*h - 1. Let f be r(-4). Suppose -f*v + 7*v = 4*a - 20, 2*a = -4*v - 20. What is the smallest value in 0.3, v, w?
v
Let t = 39.511 + -40.1. Let f = t + -0.011. Which is the smallest value? (a) f (b) 3 (c) 0
a
Let q = 3329.8 - 3330. Let a be ((-6)/(-10))/((-9)/6). What is the second biggest value in a, 2/9, q?
q
Let j = 11 + -20. Let d = -7.033 - -0.033. Let w = j - d. Which is the second biggest value? (a) -0.4 (b) 0.1 (c) w
a
Let y = 73.38 - -10.42. Let a = -84 + y. What is the smallest value in -7, 2/13, 0, a?
-7
Let t = 878.055 + -888. Let n = t + -1.365. Let g = n + 0.31. Which is the biggest value? (a) g (b) 1 (c) -0.2
b
Suppose 16 = -5*y + 1. Let x be ((-1219)/2385 - (4/15)/(-4)) + 0. Which is the second smallest value? (a) 2/7 (b) y (c) -5 (d) x
b
Let d = -30 - -35. Let m be (2/2)/((-7)/35). Let k = 7 + m. Which is the third biggest value? (a) d (b) 2/7 (c) k
b
Let c = -4355/11 - -396. What is the third smallest value in c, -5, 1/10?
1/10
Let g = -6.9 - 1.1. Let k = g - -12. Which is the second smallest value? (a) -0.2 (b) k (c) 0.2
c
Let x = -0.0371 + -3.9629. Which is the biggest value? (a) -18/11 (b) 2/3 (c) x
b
Let w = -514 - -8740/17. What is the smallest value in -14/11, w, -0.1, -5?
-5
Let y = 318 - 305. What is the third biggest value in 5, -2/9, y, -0.5?
-2/9
Let a = -231 - -231. What is the biggest value in 0.5, -11, 2/7, a?
0.5
Let n be 49/(-70)*4 + 1/(-5). What is the third smallest value in 27/4, n, -6?
27/4
Let v = 3.0055 + -0.0055. Let i be -1*((-6)/5 - -1). Which is the second biggest value? (a) -4 (b) v (c) i
c
Let d = -733 + 15398/21. Let w = -17/105 - d. Let b = -72 - -67. What is the biggest value in w, -1/4, b?
-1/4
Suppose -3*a = -2*i - 30, -4*i + i - a - 23 = 0. What is the second biggest value in i, -2/7, 0.1, -4?
-2/7
Let h = -29 + -10. Let z = -43 - h. Let b = -11 + 8. What is the second smallest value in 0.4, b, z?
b
Let d be ((-137)/411)/(1/(-12)). What is the third smallest value in -3/5, 0.6, d, 5?
d
Let i(p) = -p**2 - 9*p - 18. Let h be i(-4). Which is the second smallest value? (a) h (b) -0.1 (c) 0.5 (d) -4/3
b
Let u be 3 - 3 - (-7)/4. Suppose 56
|
{
"pile_set_name": "DM Mathematics"
}
|
of o(-2)?
8
Let d(c) = 13451*c**2 - 37*c + 81. What is the hundreds digit of d(2)?
8
Suppose 6*z + 14 = -z. Let u(i) = i - 1. Let g(c) = -5*c. Let r(t) = -g(t) - 6*u(t). What is the units digit of r(z)?
8
What is the ten thousands digit of ((-2997630)/513)/((-6)/63)?
6
Let d = -5659 - -10914. What is the tens digit of d?
5
Let w = -37 + 2. Let m be w/(-20) + 2/8. Suppose 0 = -z, 246 = m*p - z - z. What is the tens digit of p?
2
Let l(y) = 61*y**3 - 5*y**2 + 10*y + 15. What is the units digit of l(5)?
5
Suppose -15 = -4*r - 7, 5*r - 110086 = -3*q. What is the units digit of q?
2
What is the units digit of (-230097)/(-18) - -8 - ((-46)/12 + 3)?
2
Let v(p) = 6*p**2 - 167*p + 4094. What is the hundreds digit of v(36)?
8
Let y(k) = -k**3 - 15*k**2 + 12*k + 34. What is the units digit of y(-26)?
8
Let w(t) = 869*t + 2427. What is the thousands digit of w(20)?
9
What is the units digit of (-37786294)/(-819) + 2/4*2/(-9)?
7
Let s be ((-2)/5)/(((-3)/(-5))/(-3)). Suppose 2*x = -4*c + 438, -x = -s*x - 3*c + 217. What is the hundreds digit of x?
2
Let c(z) = z**2 - 18*z - 112. Let p be c(-5). Suppose 5*s - 939 = -3*f, -2*s + 3*f = -p*s + 195. What is the units digit of s?
6
Suppose 5*h - 1509 = n - 5*n, -2*n = -h + 313. Suppose -x + h = -886. What is the units digit of x?
1
Let j be (-175)/105*6/(-5). Let h(l) = -l**3 + 3*l**2 - 3*l + 2. Let r be h(2). Suppose 0 = f, -j*n + r*n + 3*f = -194. What is the units digit of n?
7
Let s(h) = 3666*h. Let b = 70 + -69. Let q be s(b). What is the tens digit of (-1 - 10/(-8)) + q/24?
5
Suppose 5*i = -25, 49*i + 3 = u + 51*i. Let f(h) be the second derivative of 19*h**3/6 - 25*h**2 - 2*h. What is the units digit of f(u)?
7
Suppose 10 = 2*k + 492. Let q = k - -597. Suppose j = -3*j + q. What is the tens digit of j?
8
Suppose -2*p - 55620 = -4*a, 2*p = 229*a - 224*a - 69528. What is the thousands digit of a?
3
What is the tens digit of 36/(-198) - 740677/(-77)?
1
Let b = -36 + 50. Let o = b + -43. What is the units digit of (-1)/(((-4)/(-4))/o)?
9
Let m(v) = 52*v**2 - 8*v + 9. Let l be 26/(-5) + 37/185. What is the thousands digit of m(l)?
1
Suppose -125 = 3*u + 4*n, -5*u + n - 23 - 193 = 0. Let a = 841 - u. What is the tens digit of a?
8
Let m be ((-2)/(-6))/((-21)/504). Let h be ((-9)/(-3) - 27)/(6/m). What is the tens digit of (-64)/3*(h - 38)?
2
Let b = 133496 + -87931. What is the thousands digit of b?
5
Let b = -440 + 442. Suppose 2*h - 3*m + 1345 = 4*h, 3*h - 2020 = -b*m. What is the hundreds digit of h?
6
Suppose 34*i - 41524 = 8252. Let j = 2629 - i. What is the tens digit of j?
6
Let o(y) = 36*y + 2. Let l be o(8). Let k = -72 + l. Suppose -83 = 3*x - k. What is the units digit of x?
5
What is the tens digit of -5*54/(-990) + (-10)/(-11)*4469?
6
Let h(o) = 1. Let f(k) = 3*k + 207. Let s(i) = f(i) + 9*h(i). What is the tens digit of s(-29)?
2
Let n(a) = 1554*a + 535. What is the thousands digit of n(11)?
7
Let o = -1765 + 2621. Let g = o + -455. What is the units digit of g?
1
Suppose 3*n - 36 = 3*c, 3*c - 33 = -4*n + 15. Suppose -n*k = -11*k - 1353. What is the tens digit of k?
5
Let x = -1013 + 1293. What is the units digit of x?
0
Let p(d) = 76*d**3 - 7*d**2 - 16*d + 64. What is the units digit of p(4)?
2
Let r = 78253 - 26709. What is the units digit of r?
4
Let q = -12 + 34. Suppose z - 570 - q = -4*x, 4*z = -5*x + 2346. What is the tens digit of z?
8
Suppose 3*r = 4*o - 195, -4*o + 2*r = -103 - 91. Suppose 0*m - 2*c = m + o, -m + 4*c = 18. Let w = -37 - m. What is the units digit of w?
1
Suppose 0 = -2*o - 3 + 17. Let w(v) be the first derivative of -v**4/4 + 5*v**3/3 + 13*v**2/2 + 17*v + 5. What is the units digit of w(o)?
0
Let a(b) = 137*b - 271. Let q be a(-9). Let w = 2283 + q. What is the tens digit of w?
7
Suppose 10*r - 89390 = -40809 + 146349. What is the tens digit of r?
9
Let b(p) = -18827*p + 4816. What is the ten thousands digit of b(-2)?
4
Suppose 768*s + 146864 = 741*s + 555050. What is the hundreds digit of s?
1
Suppose -4*h = -7*h - 9. Let x(f) = f**3 + 4*f**2 + f - 4. Let o be x(h). Suppose -7 = -o*j + 11. What is the units digit of j?
9
What is the ten thousands digit of ((-174470)/1095)/((-2)/171)?
1
Let m(a) = a + 25. Suppose v = 2*v + 18. Let y be m(v). Suppose -y = -g + 8. What is the tens digit of g?
1
Let s(g) = 33796*g**3 + 2*g**2 - 158*g + 156. What is the units digit of s(1)?
6
Let q(h) = -12*h + 77. Let u(i) = -2*i - 24. Let d be u(-6). What is the hundreds digit of q(d)?
2
Let t = 30797 + -13679. What is the hundreds digit of t?
1
What is the tens digit of (0 - -7) + (-13185)/((-26)/26)?
9
Let c(k) be the third derivative of k**5/30 + k**4/4 - 3*k**3 - 28*k**2 + 3*k. What is the units digit of c(-18)?
2
What is the thousands digit of (-617136)/(-260) - 4/(-10)?
2
Let k(d) = -d**3 - 4*d**2 + 13*d + 8. Let n be k(-5). Let h be (-6 + 1)/(-5) - n. Suppose h + 69 = 2*y. What is the tens digit of y?
5
Let q = 101 + -98. Suppose 0 = -30*x + 29*x + q. Suppose x*k + 5*h - 495 = 0, 3*k + 24 - 537 = h. What is the hundreds digit of k?
1
Let v be ((-85)/10)/((-14)/56). Suppose v*b - 24432 = 20380. What is the tens digit of b?
1
Suppose 0 = 3*b - u - 9, -3*u = -5*b + 5 + 6. Suppose -20 = b*j - 0*j, 2*r = j + 15. Suppose 244 = 3*d - r*z, -z = 3*d - 6*d + 248. What is the tens digit of d?
8
Let x = 1627 + -745. Let r = x - 528. What is the units digit of r?
4
Let g be 2852 + (-1 - -2)*-4. Suppose 10*v - 1812 = g. What is the tens digit of v?
6
Suppose 3*o + 5093 + 3397 = m, -2*o + 33946 = 4*m. What is the tens digit of m?
8
Let l be 438/30 - 6/10. Suppose -5*k = -l*k + 999. What is the hundreds digit of k?
1
Let k(o) be the second derivative of 185*o**3/3 - 7*o**2 + 14*o. Let v be k(4). Suppose -302 = -8*m + v. What is the tens digit of m?
2
Let n = -92 + 55. Let r = 36 + n. What is the hundreds digit of (-501)/6*(-1 + 0 + r)?
1
Suppose w + 32*p - 8586 = 36*p, 0 = 3*w - 3*p - 25776. What is the units digit of w?
4
Let f = -1 - -4. Let r = 2569 - 2442. Suppose f*n + 5*a - 253 = 0, 4*n = 2*n + 5*a + r. What is the tens digit of n?
7
Let i(z) = 75*z - 93. Let h be i(41). Let d = h + -1696. What is the thousands digit of d?
1
Let o = 50 + 51. Suppose -n + 784 - o = 0. What is the hundreds digit of n?
6
Let z = -58489 + 89063. What is the thousands digit of z?
0
Let o = 112 + -190. Let m be (o/26)/(1/(-401)). Suppose 9*d - m = 840. What is the tens digit of d?
2
Let g(p) = p**2 - 6*p - 10. Let b be g(7). Let m be (-1 - 1/(b/(-3)))*-2. What is the units digit of 1*(m + 24/4)?
0
Suppose 2 = 3*m - 5*m, -3*m + 36392 = 5*w. What is the thousands digit of w?
7
Let v = -304 - -306. Suppose -851 = -v*b - 111. What is the tens digit of b?
7
Suppose -2*t - 24 = -6*t. What is the tens digit of 9/t + ((-2031)/(-6) - 5)?
3
Suppose 5*l + 2*m - 62179 - 170950 = 0, -2*l + 4*m = -93266. What is the ten thousands digit of l?
4
Let l(x) be the first derivative of 11*x**4/4 - x**3/2 + 2*x**2 - 16*x + 14. Let g(j) be the first derivative of l(j). What is the tens digit of g(2)?
3
Suppose 0 = d + 32*t - 30*t - 1318, 0 = -d - 3*t + 1324. What is the thousands digit of d?
1
Suppose -2*p - 9*t + 5*t + 36 = 0, 2*p - 5*t + 9 = 0. What is the tens digit of (-84)/63*(-1506)/p?
5
Let h = -84 + 87. Suppose -a + 0*l = 5*l - 33, h*a - 14 = 2*l. What is the units digit of ((-6)/a)/(2/(-8))?
3
Let m be 3 + -2 + 0 + 1. Suppose 4*o = 3*c - 6, 8 = 5*o + 3*c + c. Suppose o = m*u - 35 - 85. What is the units digit of u?
0
What is the units digit of 27996/(-39)*(-1534)/236?
6
Suppose 3*w + 2*z - 9 = -0*w, -4*w = z - 12. Let d be (w + -1 + -1)/(2/10). Let b(h) = h**2 - h - 17. What is the units digit of b(d)?
3
Let j = -35 + 27. Let f = j - -8. What is the units digit of 0 - (4 - (f - -27))?
3
Let s(h) = h**2 - 22*h + 99. Let l be s(17). Let t(u) = 4*u**2 - 2*u - 34. What is the tens digit of t(l)?
2
Suppose -3*i - 2*h + 1271 = 0, -3*i + 2*h + 1896 - 617 = 0. Suppose 0 = 5*p - i + 40. What is the units digit of p?
7
Let y be 3/(-9) + 35/15. What is the tens digit of (0 - (-4)/6)/(y/2610)?
7
Suppose 2*z = 2*h - 40, 5*h - 5*z = -7*z + 65. Suppose -2*d + 5*d - h = 0, -1053 = -2*i - 5*d. What is the units digit of i?
4
Suppose -1377*a + 1372*a + 77133 = 4*p, -3*p + 4*a + 57873 = 0. What is the hundreds digit of p?
2
Let b be (-8)/(-32)
|
{
"pile_set_name": "DM Mathematics"
}
|
337*m**2 - 11*m**3 + 22*m**3 wrt m?
-240*m**3 + 132
Let i(g) be the third derivative of -707*g**4/12 - 370*g**3/3 + 2044*g**2. What is the first derivative of i(p) wrt p?
-1414
Let d(i) be the third derivative of 0*i - 31/20*i**5 + 0*i**6 - 9/8*i**4 + 1/3*i**3 + 3 + i**2 - 1/105*i**7. Find the second derivative of d(c) wrt c.
-24*c**2 - 186
Let q(f) = 14*f**2 + 2*f - 3. Let l be q(-2). What is the first derivative of 52 + 103*m + l*m**4 - 208*m + 105*m wrt m?
196*m**3
Let c(w) = w**2 - 7*w + 1. Let f be c(9). What is the third derivative of -60 + f + 35 + 13*s**2 + 228*s**3 wrt s?
1368
Let c(m) be the second derivative of -m**5/4 + m**4/12 + m**3/2 + 29*m**2/2 + 1102*m. What is the second derivative of c(l) wrt l?
-30*l + 2
Let i(l) be the second derivative of l**4/12 + l**3/6 - 4*l**2 + 37*l. Let y be i(-4). What is the first derivative of -3*a + 16*a**4 - 9 + 3*a - y wrt a?
64*a**3
Let a(o) be the third derivative of -3*o + 0*o**3 - 13/12*o**5 + 0 + 5/2*o**4 + 3*o**2. What is the second derivative of a(p) wrt p?
-130
What is the third derivative of -17*a**2 - 2 - 3788*a**4 + 675*a**4 - 101*a + 17*a + 1063*a**4 - 3769*a**4 wrt a?
-139656*a
Let o(d) = d**2 - 2*d + 32. Let k be o(0). Let n = k - -41. What is the first derivative of -n*y + 7 + 73*y - 8*y**2 wrt y?
-16*y
Differentiate -z**4 - 6*z**4 + 39*z**2 - 26*z**4 + 1358 - 2941 + 6043 with respect to z.
-132*z**3 + 78*z
Find the second derivative of 3*a**3 + 2*a**3 + 4 + a**3 - 41*a**2 - 141*a + 106*a + 4*a**3 wrt a.
60*a - 82
Let i(t) be the second derivative of 155*t**2 + 143/6*t**4 + 0*t**3 - 1 - 99*t. What is the first derivative of i(u) wrt u?
572*u
Let t be (-36)/90 - 12/(-5). What is the second derivative of -91*j + 7 + 6 + 5*j**t - 13 wrt j?
10
Let v(z) = -1893*z - 1283. Let s(r) = -r - 3. Let x(k) = 26*s(k) + 2*v(k). What is the first derivative of x(o) wrt o?
-3812
Suppose -4*v + 544 = 13*v. What is the second derivative of -16*j**2 + 26*j**2 + 8*j - 17*j - v*j wrt j?
20
What is the second derivative of 84*m**4 + 5*m**2 + m**2 - 3*m**3 + 5*m**2 - 82*m**4 + 2810*m wrt m?
24*m**2 - 18*m + 22
Let w(s) be the third derivative of 0*s**3 + 1/15*s**5 + 1/120*s**6 + 0 + 0*s + 0*s**4 + 4*s**2 - 17/105*s**7. What is the third derivative of w(g) wrt g?
-816*g + 6
Let h be 1/(1*5/985). What is the third derivative of -71*v**2 + 48*v**5 - 17*v**2 + 155*v**2 - h*v**5 wrt v?
-8940*v**2
Let c(i) be the first derivative of 0*i**4 - 8 + 2/5*i**5 + 0*i - 11/2*i**6 + 71/2*i**2 + 0*i**3. What is the second derivative of c(u) wrt u?
-660*u**3 + 24*u**2
Let h(q) = -502*q**4 + 3896. Let x(v) = -251*v**4 + 1947. Let u(f) = -3*h(f) + 5*x(f). Find the first derivative of u(z) wrt z.
1004*z**3
Suppose -5*t - 11 = 69. Let w be 16/40 - t/10. Find the third derivative of -w*k**2 - 13*k**4 - 26*k**4 - 5*k**3 + 5*k**3 wrt k.
-936*k
Let r(f) = f**3 + 3*f**2 - 15*f + 4. Let m be r(4). Find the second derivative of -6753 + 6753 - m*l - 37*l**5 wrt l.
-740*l**3
Find the second derivative of 396*f**2 - f**5 - 35*f - 963*f**2 + 2 - 1392*f**2 wrt f.
-20*f**3 - 3918
Let w(p) be the second derivative of -756*p**5/5 - 208*p**2 - p - 18. What is the derivative of w(x) wrt x?
-9072*x**2
What is the derivative of -934 - 571*n**3 - n - 3*n + 4287 + 4*n wrt n?
-1713*n**2
What is the third derivative of 15326*n**3 + 4*n**2 + 39 - 38 - 4*n - 12673*n**3 wrt n?
15918
Let a(u) be the second derivative of -3/2*u**2 + 0*u**4 + 0*u**5 + 116*u - 46/15*u**6 + 0 + 7/6*u**3. What is the second derivative of a(v) wrt v?
-1104*v**2
Find the second derivative of 9*o**5 - 8*o**5 - 4 + 784*o**2 + 239*o - 789*o**2 + o**5 - 111*o**3 wrt o.
40*o**3 - 666*o - 10
Let u be (-1 - (-3 - 6)) + 2. Let z be u - 8 - (-6)/1. What is the third derivative of -33*l**6 + 4*l**2 + 18*l**6 + z*l**2 wrt l?
-1800*l**3
Find the second derivative of 1010317*t**5 + 20*t**2 + 3*t**2 + 130*t - 1010339*t**5 - t**4 wrt t.
-440*t**3 - 12*t**2 + 46
Let t be (3 - -1) + 4 + 44. Let g = -48 + t. What is the derivative of -34 + 9*a**4 - 4*a**4 + 2*a**4 + 4*a**g wrt a?
44*a**3
Let m(j) be the first derivative of -257*j**6/3 - 1217*j**3 + 1505. What is the third derivative of m(v) wrt v?
-30840*v**2
Let u be ((-368)/24)/(-3 + (-8)/(-3)). Find the first derivative of 33*g**3 + 14*g**3 + 53 + 118 + 80 + u*g**3 wrt g.
279*g**2
Suppose -k = -5*t - 13, -2*t + 2 = 3*k - 3. Suppose 5*c = k*c + 8. Find the first derivative of 128 + 4*x**4 - 94 + x**c wrt x.
20*x**3
Let v(w) be the second derivative of -w**6/15 + 323*w**4/6 + 64*w**2 - 5484*w. Differentiate v(a) wrt a.
-8*a**3 + 1292*a
Let b(t) be the third derivative of -477*t**7/70 + 2531*t**3/6 - 2583*t**2. What is the derivative of b(r) wrt r?
-5724*r**3
Let s(m) = -2150*m**2 - 3643*m - 8. Let y(d) = -717*d**2 - 1218*d - 3. Let i(z) = -3*s(z) + 8*y(z). What is the second derivative of i(c) wrt c?
1428
What is the third derivative of 806*j**2 + 368*j**6 + 597*j**6 - 1509*j**6 - 1559*j**6 + 2029*j**2 wrt j?
-252360*j**3
What is the third derivative of 144*n**2 - 16*n**6 + 748*n**2 - 3*n**6 + 1391*n**4 - 1403*n**4 wrt n?
-2280*n**3 - 288*n
Suppose -2*h - 4 = -20. Let b be -2*(20/h + -4). Find the third derivative of -42*o**3 - 7*o**2 - 6*o**2 + 26*o**b wrt o.
-96
Differentiate 2872*r**3 - 2370 - 37*r**3 + 868 with respect to r.
8505*r**2
Let p(k) be the first derivative of 0*k + 0*k**2 - 1/4*k**5 - 8/3*k**3 + 14 + 1/2*k**4. Let c(o) be the third derivative of p(o). Differentiate c(a) wrt a.
-30
Suppose -d + 10*d = 27. What is the first derivative of 5*g**3 - 26*g**d + 9*g**3 + 8*g**3 - 88 wrt g?
-12*g**2
Suppose 3*z + 10 = 8*z. Differentiate -365*y**3 + 181*y**3 + 32*y + z*y**4 + 184*y**3 + 24 with respect to y.
8*y**3 + 32
Let t = -51 + 27. Let c be ((-15)/(-45))/((-2)/t). What is the second derivative of 27*o**c + 2 + 14*o + 1 - 3 wrt o?
324*o**2
Suppose 39 + 27 = 33*l. Differentiate 202*v**2 + 147 - 14*v**3 - 20 - 199*v**l with respect to v.
-42*v**2 + 6*v
Suppose -d - 2 = -5*s, 0 = 5*s - s - 4. Differentiate -32*g**4 + 189*g**d + 11*g**4 - 34 - 189*g**3 wrt g.
-84*g**3
Let m(r) = 2*r - 25. Let n(s) = s - 12. Let z(v) = 6*m(v) - 13*n(v). Let l be z(0). Find the third derivative of b**2 + b**4 + l*b**2 - 2*b**2 wrt b.
24*b
Let y(j) = -j**3 + 11*j**2 + 13*j - 11. Let c be y(12). Let s be (27/12)/((3 + c)/48). Find the first derivative of -13 - 38*r**2 - s*r**2 + 59*r**2 wrt r.
-12*r
Let s(g) = -3*g - 10. Let o(w) = -7*w - 20. Let t(i) = 2*o(i) - 5*s(i). Let b be t(12). Find the third derivative of -8*h**3 + 45*h - b*h**2 - 45*h wrt h.
-48
Find the third derivative of 5192*k**6 - 24*k**5 + 1329*k**2 + 44*k**2 - 5181*k**6 wrt k.
1320*k**3 - 1440*k**2
Let n(y) = -15*y**3 - 3278*y**2 + 1471. Let i(b) = 11*b**3 + 2459*b**2 - 1104. Let k(w) = -11*i(w) - 8*n(w). Find the first derivative of k(q) wrt q.
-3*q**2 - 1650*q
Let g(v) be the first derivative of 0*v**5 + 0*v + 31 + 99/7*v**7 + 0*v**2 - 83/3*v**3 + 1/4*v**4 + 0*v**6. Find the third derivative of g(c) wrt c.
11880*c**3 + 6
Suppose 3*q + 143 = 5*y + 2*q, -y - 2*q = -22. Let n be 25528/y - 4/(-14). What is the derivative of 11*k**3 - 912*k**2 + n*k**2 + 2 wrt k?
33*k**2
Suppose -8*z + 3*q = -3*z - 43334, 43346 = 5*z + 3*q. Let w = z + -3330. Differentiate -28*y**4 - 23 - 5338*y**3 + w*y**3 wrt y.
-112*y**3
Suppose 2*r = 5*p - 15, 3*p = 2*r + 10 - 1. Suppose -10 = -2*k - 4. Differentiate 18*y**p - 5 - 10*y**k + 23 with respect to y.
24*y**2
Find the second derivative of -2*o - 2*o**2 + 0*o**2 + 47*o**3 - 23086 - 6*o**4 + 22499 + 2*o**2 wrt o.
-72*o**2 + 282*o
Let i(g) be the third derivative of 23*g**8/6 - 287*g**5/15 + 50*g**2 + 9. Find the third derivative of i(y) wrt y.
77280*y**2
What is the derivative of 9240 - 3275861*q - 1816 - 3502 + 11314 + 3271437*q wrt q?
-4424
Let s(l) be the first derivative of 3383*l**3 - 9749*l**2/2 + 14207. Find the second derivative of s(n) wrt n.
20298
Let q(c) be the first derivative of 0*c**3 - 133 - 35/2*c**2 + 0*c**5 + 0*c - 97/6*c**6 + 0*c**4. What is the second derivative of q(f) wrt f?
-1940*f**3
Let v = 2 + 2. Let d(w) = -w**3 + 6*w**2 + 11*w + 2. Let b be d(7). Find the first derivative of b*o**4 + 77 - v*o**4 - 73 wrt o.
104*o**3
Let x(o) be the first derivative of 208*o**5/5 + o**3/3 - 1869*o**2/2 - 1218. What is the second derivative of x(
|
{
"pile_set_name": "DM Mathematics"
}
|
s(r) = r**2 + 5*r + 18. Give s(-2).
12
Let p(b) = 186*b**2 + 15*b - 14. Determine p(1).
187
Let n(g) = 17*g**2 + 521*g - 12. Calculate n(-30).
-342
Let s(z) = z**3 - 56*z**2 - 62*z + 292. Give s(57).
7
Let b(t) = 4*t**2 - 33*t + 80. Give b(4).
12
Let t(n) = -37*n + 335. Determine t(8).
39
Let k(j) = -j**2 - 82*j + 5536. What is k(-126)?
-8
Let j(i) = 10*i - 344. Calculate j(-20).
-544
Let d(y) = -35*y**2 + 415*y + 62. Determine d(12).
2
Let c(d) = -d**3 - 16*d**2 + 62*d + 129. Calculate c(-20).
489
Let k(z) = 12*z - 418. Determine k(20).
-178
Let x(g) = 2340*g - 16383. What is x(7)?
-3
Let z(o) = -o**3 + 3*o**2 - 8*o + 132. Determine z(6).
-24
Let f(r) = 2*r**2 + 20*r + 6. Give f(-10).
6
Let j(d) = 2*d + 37. Give j(19).
75
Let l(s) = -38*s + 473. What is l(9)?
131
Let i(n) = n**3 + 3*n**2 - 40*n + 7. Give i(-7).
91
Let z(n) = 4*n - 162. Determine z(20).
-82
Let r(b) = 2*b**3 - 181*b**2 - 94*b + 273. Determine r(91).
0
Let d(u) = u**2 + 135*u + 2583. Calculate d(-108).
-333
Let j(x) = -x**2 + 159*x - 6286. What is j(87)?
-22
Let a(y) = 20*y**2 + 54*y + 9. Give a(-4).
113
Let q(w) = -w**3 - 20*w - 46. What is q(-3)?
41
Let i(c) = -30*c**2 + 2765*c - 477. Give i(92).
-17
Let z(u) = -2*u**2 - 10*u + 51. Calculate z(-8).
3
Let x(w) = 2*w**2 - 84*w + 610. Calculate x(33).
16
Let r(k) = 2*k**3 - 88*k**2 - 90*k - 48. Give r(45).
-48
Let x(f) = -9*f - 241. What is x(-24)?
-25
Let m(o) = 321*o - 3860. What is m(12)?
-8
Let r(a) = 683*a + 6156. Calculate r(-9).
9
Let v(m) = -15*m**2 - 26*m + 53. Determine v(2).
-59
Let v(s) = 8*s**2 + 24*s + 95. Give v(-9).
527
Let m(b) = b**3 + 71*b**2 - 2777*b - 499. Give m(-99).
-4
Let q(z) = -313*z + 925. Give q(3).
-14
Let s(i) = -i**2 + 39*i - 315. Give s(11).
-7
Let q(h) = -h**2 + 54*h + 696. Determine q(-11).
-19
Let z(x) = 16*x - 130. Determine z(13).
78
Let f(t) = t**2 + 12*t + 81. Give f(-15).
126
Let y(u) = -5*u**2 + 166*u + 148. Give y(34).
12
Let g(p) = -19*p**2 + 325*p - 324. Give g(1).
-18
Let l(b) = b**3 - 55*b**2 + 51*b + 174. Give l(54).
12
Let a(k) = 2*k**3 + 31*k**2 + 19*k + 46. Calculate a(-15).
-14
Let b(w) = -w**3 - 8*w**2 + 12*w + 23. Give b(-8).
-73
Let v(h) = h**3 - 24*h**2 + 27*h - 161. Give v(23).
-69
Let h(d) = -d**2 - 102*d + 199. What is h(2)?
-9
Let j(w) = -3*w**2 + 49*w + 198. Determine j(20).
-22
Let h(v) = -v**3 + 9*v**2 - 72*v + 409. Determine h(7).
3
Let f(y) = y**3 + 30*y**2 - 52*y - 349. Determine f(-31).
302
Let c(d) = -3*d**2 + 57*d + 199. What is c(22)?
1
Let b(f) = -f**2 + 12*f + 273. What is b(-14)?
-91
Let u(b) = 2*b**2 - 54*b - 398. Determine u(29).
-282
Let m(t) = -3*t**3 + 27*t**2 - 57*t + 9. Give m(4).
21
Let l(j) = 884*j - 1739. What is l(2)?
29
Let z(a) = 4*a**3 + 187*a**2 - 56*a - 354. Calculate z(-47).
69
Let l(y) = 744*y**3 - y**2 - 3*y + 6. Calculate l(1).
746
Let d(k) = 1384*k + 15210. What is d(-11)?
-14
Let v(s) = -s**3 + 56*s**2 - 64*s + 951. Give v(55).
456
Let j(a) = -54*a**3 + 704*a**2 - 23*a - 38. What is j(13)?
1
Let h(i) = -i**2 - 929*i + 6. Determine h(0).
6
Let x(p) = -44*p - 748. What is x(-18)?
44
Let g(j) = -8*j + 381. Determine g(38).
77
Let s(r) = -43*r**2 + 2344*r - 1184. Give s(54).
4
Let h(x) = -949*x - 171763. What is h(-181)?
6
Let p(a) = a**3 - 33*a**2 - 68*a - 36. Determine p(35).
34
Let h(t) = t**2 + 668*t + 38637. Calculate h(-64).
-19
Let a(k) = 2*k**3 + 13*k**2 - 35*k - 237. Give a(-6).
9
Let p(n) = -5*n**2 + 324*n - 1861. What is p(6)?
-97
Let s(t) = -t**3 + 59*t**2 - 62*t + 229. Determine s(58).
-3
Let h(y) = -216*y + 2814. Calculate h(13).
6
Let q(l) = -l**3 - 5*l**2 - 4*l - 453. Calculate q(0).
-453
Let g(j) = j**3 + 13*j**2 + 25*j - 16. Calculate g(-9).
83
Let a(o) = -o**3 + o**2 + 42*o + 22. Give a(7).
22
Let h(i) = -13*i + 109. Determine h(15).
-86
Let b(h) = -7*h**2 + 4*h + 5. Give b(3).
-46
Let l(p) = 33*p**2 - 305*p + 307. Give l(1).
35
Let y(v) = 205*v**2 - 616*v - 30. What is y(3)?
-33
Let d(n) = -80*n + 2200. What is d(25)?
200
Let o(y) = 313*y**2 + 4*y + 4. Calculate o(-1).
313
Let y(m) = 260*m + 11966. What is y(-46)?
6
Let s(j) = 2*j**3 + 29*j**2 - 54*j + 29. What is s(-16)?
125
Let q(j) = 22*j + 507. Give q(-26).
-65
Let f(d) = 4740*d + 37921. Give f(-8).
1
Let s(q) = q**3 - 17*q**2 + 75*q - 360. Give s(13).
-61
Let z(i) = -4*i + 180. Give z(46).
-4
Let y(d) = d**3 - 430. Give y(0).
-430
Let c(d) = -231*d + 1453. Calculate c(6).
67
Let a(p) = -12*p**2 + 76*p - 28. Calculate a(6).
-4
Let i(y) = 4*y + 24. Calculate i(-12).
-24
Let q(j) = -2*j**3 - 7*j**2 - j + 32. Give q(-2).
22
Let f(b) = 5*b**3 - 492*b**2 - 800*b + 6. Give f(100).
6
Let x(v) = -5*v**2 - 202*v - 230. What is x(-39)?
43
Let r(x) = -597*x + 1283. Calculate r(2).
89
Let k(s) = s**2 - 1909*s + 7. What is k(0)?
7
Let w(a) = 4*a**3 - 49*a**2 - 41*a + 645. Give w(12).
9
Let t(f) = -4*f**2 + 111*f + 68. Determine t(28).
40
Let b(k) = 14*k**3 - 268*k**2 + 38*k + 1. What is b(19)?
1
Let z(s) = 5*s**2 - 94*s - 8. Calculate z(20).
112
Let c(x) = -123*x + 24113. What is c(196)?
5
Let p(f) = 99*f + 148. Calculate p(-2).
-50
Let z(o) = 6*o**3 + 49*o**2 + 28*o + 143. Determine z(-8).
-17
Let l(y) = 2*y**3 - 87*y**2 - 42*y - 65. Give l(44).
23
Let h(v) = 3*v**2 - 246*v - 755. Determine h(85).
10
Let f(c) = 300*c + 3327. Give f(-10).
327
Let l(w) = 6*w + 85. Determine l(-8).
37
Let q(c) = c**3 - 29*c**2 - 99*c + 36. Give q(32).
-60
Let g(r) = -3*r**2 + 127*r - 184. What is g(38)?
310
Let y(w) = -4*w**3 - 200*w**2 - 2*w - 63. Calculate y(-50).
37
Let g(k) = -6*k**2 - 102*k + 117. What is g(-18)?
9
Let h(r) = 47*r + 178. What is h(10)?
648
Let w(v) = -162*v - 2604. Give w(-16).
-12
Let v(o) = 57*o**2 + 125*o - 254. Calculate v(2).
224
Let q(f) = -553*f + 2255. What is q(4)?
43
Let j(m) = -5*m**3 + 14*m**2 - 28*m + 26. Calculate j(2).
-14
Let d(u) = 3*u**2 + 227*u + 68. Calculate d(-75).
-82
Let d(r) = -23*r**2 - 68*r - 5. What is d(-3)?
-8
Let u(n) = 2*n**2 + 16*n + 23. Give u(-11).
89
Let q(b) = -4755*b - 4770. What is q(-1)?
-15
Let s(u) = 41*u**2 + 104*u - 61. Give s(-3).
-4
Let l(y) = 46*y + 128. Give l(-3).
-10
Let r(a) = -a**3 - 17*a**2 + 8*a - 12. What is r(-18)?
168
Let i(n) = -n**2 + 32*n + 224. Calculate i(40).
-96
Let a(f) = -256*f - 51713. Give a(-202).
-1
Let x(z) = 100*z - 15327. Determine x(154).
73
Let n(m) = -10*m**3 + 250*m**2 + m - 24. Give n(25).
1
Let w(i) = 4*i**2 + 38*i + 20. Give w(-9).
2
Let k(u) = 136*u - 2705. Give k(20).
15
Let z(j) = 53*j - 50. Calculate z(1).
3
Let r(n) = -30*n - 451. Calculate r(-17).
59
Let i(l) = -66*l - 11. Calculate i(0).
-11
Let y(w) = 3*w**3 - 33*w**2 - 6*w + 94. Give y(11).
28
Let s(w) = -4*w**2 - 1024*w + 2046. Give s(2).
-18
Let r(i) = -173*i - 1746. Determine r(-10).
-16
Let a(h) = -h**3 - 3*h**2 + 2*h + 15. Calculate a(-2).
7
Let g(d) = -220*d + 1763. Give g(8).
3
Let n(h) = -56*h - 1072. Determine n(-18).
-64
Let z(l) = -l**2 - 7*l - 41. Give z(-5).
-31
Let w(l) = -37*l - 400. Calculate w(-11).
7
Let t(x) = -2*x**3 + 46*x**2 + 247*x + 123. What is t(-4)?
-1
Let t(m) = -654*m + 1331. Give t(2).
23
Let c(f) = -f**3 - 11*f**2 - 4*f + 61. Calculate c(-10).
1
Let w(m) = 536*m + 34831. Calculate w(-65).
-9
Let x(a) = -a**2 - a + 472. Determine x(31).
-520
Let y(a) = -a**3 - 43*a**2 + 211*a + 3361. What is y(-46)?
3
Let a(t) = 66*t - 656. What is a(10)?
4
Let h(v) = 60*v - 382. Give h(10).
218
Let a(f) = f**2 - 20*f + 98. What is a(19)?
79
Let m(r) = 65*r + 253. What is m(-4)?
-7
Let a(u) = 75*u + 6376. Give a(-83).
151
Let q(w) = -1893*w - 30281. Determine q(-16).
7
Let p(w) = -w**2 - 24*w - 53. Calculate p(-7).
66
Let a(z) = 96*z + 468. Calculate a(-5).
-12
Let s(x) = -132*x - 1129. What is s(-9)?
59
Let z(n) = n**2 - 38*n + 35. Calculate z(39).
74
Let i(u) = 3*u**2 - 27*u + 16. Determine i(8).
-8
Let p(o) = -2*o**3 + 16*o**2 + 17*o - 9. Give p(9).
-18
Let j(t) = -2*t**2 + 88*t + 379. Determine j(-4).
-5
Let m(q) = -q**3 + 19*q**2 - 73*q + 192. What is m(15)?
-3
Let v(l) = l**3 + 9*l**2 - 20*l - 18. What is v(-10)?
82
Let o(z) = z**3 - 6*z**2 + 5*z + 1. What is o(4)?
-11
Let j(f) = -f**3 + 5*f**2 + 321*f - 1297. What is j(4)?
3
Let f(t) = -100*t - 727. Determine f(-7).
-27
Let x(b) = 2*b**3 + 13*b**2 + 33*b + 24. Determine x(-6).
-138
Let m(y) = 2*y**3 - 15*y**2 - 19*y + 109. Calculate m(8).
21
Let x(r) = -3*r**3 + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
e remainder when 1179564 is divided by 26208.
204
What is the remainder when 209352 is divided by 2912?
2600
What is the remainder when 10971239 is divided by 609501?
221
Calculate the remainder when 14564859 is divided by 3885.
3879
Calculate the remainder when 104745 is divided by 379.
141
What is the remainder when 2250606 is divided by 125033?
12
Calculate the remainder when 6743416 is divided by 1847.
19
Calculate the remainder when 3414167 is divided by 148441.
24
What is the remainder when 44580 is divided by 3516?
2388
Calculate the remainder when 26152754 is divided by 154750.
4
Calculate the remainder when 2824681 is divided by 23539.
1
Calculate the remainder when 72061 is divided by 1717.
1664
What is the remainder when 1967012 is divided by 6325?
6262
Calculate the remainder when 49737 is divided by 1987.
62
What is the remainder when 1493682 is divided by 42675?
57
Calculate the remainder when 2940 is divided by 2779.
161
What is the remainder when 5329786 is divided by 1766?
1764
What is the remainder when 2485861 is divided by 621423?
169
Calculate the remainder when 10276716 is divided by 1597.
21
Calculate the remainder when 3163905 is divided by 229.
41
What is the remainder when 51195879 is divided by 265?
264
Calculate the remainder when 24530 is divided by 996.
626
Calculate the remainder when 2284906 is divided by 23801.
10
Calculate the remainder when 2741383 is divided by 1370681.
21
Calculate the remainder when 601092 is divided by 420.
72
Calculate the remainder when 21691437 is divided by 21691411.
26
Calculate the remainder when 11244 is divided by 11198.
46
Calculate the remainder when 22622093 is divided by 1098.
1097
Calculate the remainder when 35281673 is divided by 7056305.
148
What is the remainder when 6792284 is divided by 1219?
16
Calculate the remainder when 57860 is divided by 28767.
326
Calculate the remainder when 421116042 is divided by 18.
12
Calculate the remainder when 1823002 is divided by 1822980.
22
What is the remainder when 1840063 is divided by 1305?
13
What is the remainder when 37758 is divided by 330?
138
What is the remainder when 941014 is divided by 15177?
40
Calculate the remainder when 7199099 is divided by 855.
854
Calculate the remainder when 574082422 is divided by 2909.
2908
Calculate the remainder when 639008 is divided by 638931.
77
Calculate the remainder when 105077021 is divided by 95.
86
What is the remainder when 95271885 is divided by 588?
9
What is the remainder when 1053062 is divided by 8101?
8033
Calculate the remainder when 188210 is divided by 26887.
1
What is the remainder when 2669521 is divided by 258?
253
Calculate the remainder when 899320 is divided by 449596.
128
What is the remainder when 10632832 is divided by 664552?
0
What is the remainder when 2881877 is divided by 8577?
5
Calculate the remainder when 3440707 is divided by 1393.
1390
Calculate the remainder when 111142 is divided by 1501.
68
What is the remainder when 7720509 is divided by 3571?
7
Calculate the remainder when 2891197 is divided by 22946.
1
Calculate the remainder when 649525 is divided by 129903.
10
Calculate the remainder when 9162710 is divided by 4.
2
What is the remainder when 728362 is divided by 45477?
730
What is the remainder when 14872995 is divided by 5?
0
Calculate the remainder when 626276 is divided by 941.
511
Calculate the remainder when 73796775 is divided by 283.
280
What is the remainder when 80901126 is divided by 8?
6
Calculate the remainder when 60722 is divided by 3582.
3410
What is the remainder when 25295327 is divided by 6?
5
Calculate the remainder when 52267325 is divided by 8711218.
17
What is the remainder when 30749124 is divided by 4586?
4580
What is the remainder when 9764 is divided by 9115?
649
What is the remainder when 165820 is divided by 82735?
350
Calculate the remainder when 30568 is divided by 5770.
1718
What is the remainder when 9543639 is divided by 142442?
25
Calculate the remainder when 1906 is divided by 151.
94
What is the remainder when 52714 is divided by 5621?
2125
Calculate the remainder when 991115 is divided by 36.
35
Calculate the remainder when 1076897 is divided by 179482.
5
What is the remainder when 692803808 is divided by 2830?
2828
What is the remainder when 6727242 is divided by 79140?
342
Calculate the remainder when 1595893 is divided by 473.
464
What is the remainder when 104934 is divided by 1177?
181
Calculate the remainder when 6022686 is divided by 1134.
12
Calculate the remainder when 28003 is divided by 13921.
161
What is the remainder when 205309055 is divided by 257?
236
Calculate the remainder when 194276 is divided by 97123.
30
What is the remainder when 127436 is divided by 29434?
9700
Calculate the remainder when 569255 is divided by 3113.
2689
What is the remainder when 35542 is divided by 28?
10
What is the remainder when 11280881 is divided by 8?
1
Calculate the remainder when 3217325 is divided by 1761.
1739
Calculate the remainder when 144957 is divided by 9048.
189
Calculate the remainder when 143201 is divided by 484.
421
What is the remainder when 252513 is divided by 13225?
1238
Calculate the remainder when 1240948 is divided by 759.
742
Calculate the remainder when 4724053 is divided by 371.
110
Calculate the remainder when 281630 is divided by 93831.
137
What is the remainder when 6478009 is divided by 26?
5
What is the remainder when 8649805 is divided by 2162410?
165
Calculate the remainder when 1514462 is divided by 252410.
2
Calculate the remainder when 44718 is divided by 3711.
186
Calculate the remainder when 40837 is divided by 1415.
1217
Calculate the remainder when 10725959 is divided by 731.
727
What is the remainder when 69138 is divided by 11495?
168
What is the remainder when 4948754 is divided by 274924?
122
Calculate the remainder when 7920221 is divided by 254.
247
Calculate the remainder when 2395957 is divided by 429.
421
What is the remainder when 13768070 is divided by 202471?
42
Calculate the remainder when 864930757 is divided by 2312.
2309
Calculate the remainder when 3051481 is divided by 487.
426
Calculate the remainder when 32841895 is divided by 261.
4
Calculate the remainder when 5448771 is divided by 89.
13
Calculate the remainder when 341777 is divided by 134.
77
What is the remainder when 2095536 is divided by 1414?
1402
What is the remainder when 1673512 is divided by 107?
32
Calculate the remainder when 81941803 is divided by 434.
433
Calculate the remainder when 833848 is divided by 43.
35
What is the remainder when 16204817 is divided by 183?
167
What is the remainder when 86238488 is divided by 114?
110
Calculate the remainder when 68897072 is divided by 1043895.
2
What is the remainder when 58290693 is divided by 1078?
1077
Calculate the remainder when 3894716 is divided by 919.
913
What is the remainder when 203662 is divided by 149?
128
Calculate the remainder when 18459634 is divided by 156.
154
What is the remainder when 325255 is divided by 108376?
127
Calculate the remainder when 672301 is divided by 2287.
2210
Calculate the remainder when 8680765 is divided by 11.
5
What is the remainder when 105717 is divided by 2625?
717
What is the remainder when 87384 is divided by 3617?
576
What is the remainder when 374861 is divided by 184802?
5257
Calculate the remainder when 2778465 is divided by 823.
17
Calculate the remainder when 50408 is divided by 7947.
2726
Calculate the remainder when 3140240 is divided by 628047.
5
What is the remainder when 154947279 is divided by 123?
120
Calculate the remainder when 423174 is divided by 22198.
1412
What is the remainder when 79479 is divided by 13053?
1161
What is the remainder when 506753923 is divided by 57?
40
Calculate the remainder when 871843 is divided by 263.
261
Calculate the remainder when 16042213 is divided by 79.
78
What is the remainder when 136265 is divided by 12021?
4034
Calculate the remainder when 13564785 is divided by 1884.
1869
What is the remainder when 73753433 is divided by 177?
11
Calculate the remainder when 38585 is divided by 2962.
79
What is the remainder when 2368804 is divided by 22?
20
Calculate the remainder when 96956031 is divided by 735.
711
Calculate the remainder when 3567158 is
|
{
"pile_set_name": "DM Mathematics"
}
|
se -28*u + 553 + 483 = g. Solve -u*l + 35*l - 10 = 0 for l.
-5
Let w(a) = -2*a - 6. Suppose 0 = -2*s - 10 + 2. Let v be w(s). Suppose -4*l + 40 = -2*k, -5*l + 6*l - k - 10 = 0. Solve -l = 3*u + v*u for u.
-2
Let s be (-6 - (-2010)/75)/((-8)/(-20)). Solve s*g - 30 = 47*g for g.
6
Suppose -3*s + 5*x - 37 = -7*s, 3*x = -s + 11. Solve 4 = s*o - 6*o for o.
2
Suppose 28*s + 268 = -40. Let o(r) = 2*r**2 + 22*r + 5. Let j be o(s). Solve 5*q = j - 0 for q.
1
Let o = -84 + 4. Let l = 196 + -281. Let d = o - l. Solve 0 = d*n - 3*n + 10 for n.
-5
Let j(q) = -3*q**3 + 315*q**2 - 3*q + 323. Let v be j(105). Solve 74 = v*f + 34 for f.
5
Suppose 0 = 2*a + 3*a - 50. Let c(b) = -8*b + 4. Let l be c(-2). Suppose 2*h - 5 = t, 7*t - 11*t + l = 2*h. Solve h*s + 2 = a for s.
2
Let j(w) = -w**3 - 10*w**2 + 13*w + 25. Let u be j(-11). Let m(p) = -p**2 - 10*p - 18. Suppose 2 = 5*s + 17. Let y be m(s). Solve u = y*h - 4*h for h.
-3
Suppose -395 = 7*j - 12*j. Let v = j + -74. Solve 5*b = 4*b - v for b.
-5
Let k(y) be the second derivative of y**4/12 - 5*y**3/3 + 12*y**2 + 29*y + 2. Let r be k(7). Let u be 3 + -3 + 4 - -4. Solve 0 = -r*c + c + u for c.
4
Let s(n) = -n**2 + 19*n + 5. Let f be s(19). Suppose -f*r - 6 = r. Let l be (1/(-3))/(r*(-2)/(-18)). Solve l*w = -w - 20 for w.
-5
Suppose -5*p = -27*p + 22. Suppose -5*v = -2*v - a - 7, 3*v = -5*a + p. Solve v*s = -5 - 1 for s.
-3
Suppose -5048 = -152*p + 10608. Solve p*r = 113*r + 10 for r.
-1
Let l(n) = 11*n**2 + 106*n + 164. Let q(b) = 6*b**2 + 53*b + 83. Let o(x) = -4*l(x) + 7*q(x). Let t be o(-25). Solve 3*z + 18 - 6 = t for z.
-4
Let i = 64 - 62. Suppose l - 4*t = 1, 5*l + t = -i*t + 5. Solve -2*x + x = -l for x.
1
Suppose 47*n + 10*n = 1539. Solve 14*w - n*w + 65 = 0 for w.
5
Let o(j) = 28*j + 83. Let u be o(8). Suppose -16*c + 333 + u = 0. Solve 5*m = -3*m - c for m.
-5
Let t(b) = -10*b - 40. Let i be t(-4). Suppose -7*w + 6*w + 3 = i. Solve k + w = -1 for k.
-4
Suppose -22 = -9*i + 50. Suppose -i*c + 16*c - 24 = 0. Solve 8*h = c*h for h.
0
Let t = -43 + 49. Suppose -5*r = 2*v - 17, -5*r - t*v + 13 = -3*v. Solve r*o - o = 0 for o.
0
Suppose 2 = -2*u + 2*g + 4, -g = -4*u + 16. Suppose -3*o - 3*q = 3, -u*q + 2 + 1 = -3*o. Let j be (o/(-3))/((-3)/(-63)). Solve -3 + j = 4*m for m.
1
Suppose 19*d + 16*d = 37*d - 392. Solve g = -48*g + d for g.
4
Suppose 0 = 5*d + z - 78, -3*d = -0*z - z - 50. Suppose -14068 = 51*x - 14833. Solve -d*u = -x*u + 4 for u.
-4
Suppose 19*f - 8 = -4*k + 17*f, 3*k = f + 26. Solve 11 + k = -17*z for z.
-1
Suppose b + 153 - 152 = 0. Suppose -15 = -w - 3*n, w - 2*n = -n + 3. Let p be -2 + w - 7 - 3/b. Solve -4*h + 1 + 7 = p for h.
2
Let h(p) = p**2 + 116*p + 1764. Let i be h(-98). Solve i*u = 2*u - 28*u for u.
0
Let w = 2471 - 2453. Solve 17 = 7*u - w for u.
5
Let g be 1/(2/(-4) - -1). Suppose 2*v - 4*j + g = j, 0 = -3*v - 4*j + 20. Suppose -y - 21 = -4*p, v*p - 19 = 2*y - 3*y. Solve -3 = p*q - 2*q for q.
-1
Let a(l) = -l**2 + 4*l - 17 + 10 + 9*l - 20. Let i be a(10). Solve i = -3*m + 6 for m.
1
Suppose 597*k - 596*k + 2*f - 35 = 0, -5*f = -3*k + 105. Solve k*z + 148 = -132 for z.
-8
Suppose 3*t - 4*t = c - 6, 2*c - 21 = -5*t. Solve 29*s + 55 = -t for s.
-2
Let w(q) = 3*q - 46 - 16 - 413*q**2 + 390*q**2 + q**3. Let r be w(23). Solve 10*s - r*s = -15 for s.
-5
Let r be (48/18 - 2)*438. Let u = -290 + r. Solve -u*n = -7 - 3 for n.
5
Let w(f) = -4*f - 3. Let v be w(-2). Suppose 4*u + 4*l - 13 = -v, 0 = 3*u - 5*l - 22. Solve u = g - 0*g for g.
4
Suppose -2*u + q = 5*q + 2, -5*q = -5*u + 70. Let h = -195 - -195. Suppose h = 5*t + 4*n - 9, -4*t + 30 = -5*n - 10. Solve t*p = 2*p + u for p.
3
Suppose z + 1334 = -a, 0 = 5*z + 4*a + 3104 + 3569. Let d be (-32)/(-240) + z/15. Let w = -89 - d. Solve 4*i - 9 + 1 = w for i.
2
Let j(f) = f**2 + 30*f + 38. Let q be j(-17). Let s be q/(-2) + (-4)/(4 + -12). Let a = s + -86. Solve 4*l - a = -10 for l.
-1
Let q be 16 - (-12 + 150/(-25)). Solve 0 = q*b - 24 - 10 for b.
1
Suppose 145 = 5*w - 5*l, 4*l - 43 + 186 = 5*w. Suppose -2*g + w = 4*k - g, k - 28 = 4*g. Solve -14*u + 12*u = k for u.
-4
Suppose 0 = -2*m - m. Suppose 5*r - 3*b = 6, 2*r - 24 = -14*b + 8*b. Solve m = -3*d + 6 + r for d.
3
Let v(i) = i**2 - 4*i - 16. Let l = 236 - 229. Let t be v(l). Solve 3 = t*n - 2*n for n.
1
Suppose 3*d - 18 = 3*q, -24 = -4*d + 3*q - 4*q. Let c be 10/d + -9*80/(-216). Solve r - 2 + c = 0 for r.
-3
Let l be ((-5)/(-1)*1)/1. Suppose 58 = -22*s + 51*s. Suppose -l*v - 7*q = -3*q + 5, -2*v + 16 = -s*q. Solve 11 - v = 4*g for g.
2
Let i = 60 - 44. Suppose i = 4*p - l, 0 = -p + 3*p + 5*l + 14. Solve 0 = 3*f - 6 - p for f.
3
Suppose f = -2 - 52. Let j = 41 + f. Let k = j + 21. Solve -3*w - k = -w for w.
-4
Suppose -2*c + 127 = 3*c + 4*v, c = 3*v + 14. Solve -17*b - 18 = -c*b for b.
3
Suppose 3*y + 18 = m, 3*m - y + 5*y + 11 = 0. Suppose 4 = v + o + m, v - 21 = 4*o. Suppose -q + 31 = -v*f, -2*q + 4*f = 1 - 45. Solve 5*z = z - q for z.
-4
Let t(p) = 232*p + 4420. Let v be t(-19). Solve 61 - 49 = -v*n for n.
-1
Suppose -4*l + 24 = -2*l. Suppose -11*u - l = -15*u. Let w be (-2 + -1)*(u + (-52)/12). Solve -w = 4*h - 0 for h.
-1
Suppose -x + 6*c - 4*c - 1 = 0, -x + 4*c = 7. Suppose -x*z + 4*f + 5 = 0, -5 = -14*z + 17*z - 4*f. Solve -3*s - z + 20 = 0 for s.
5
Suppose -27*u = -33165 + 31383. Solve -27*d + u - 228 = 0 for d.
-6
Let q(k) = -k + 7. Let p be q(5). Suppose m + p = 2*w + 58, 3*w = -5*m - 58. Let c = w + 28. Solve 1 = -j + c*j for j.
1
Let d(l) = -l - 11. Let u be d(-11). Let z = 374 - -95. Suppose 0 = 5*t + 454 - z. Solve 6 = -u*j + t*j for j.
2
Suppose -5*d - 7 = -d - 3*y, 2*d + 4*y - 24 = 0. Suppose h - d = -7. Let l(k) = -3*k - 10. Let x be l(h). Solve 1 - x = -i for i.
4
Let l = 789 - 1365. Let j = -564 - l. Solve 2*s + j = 2 for s.
-5
Let g(v) = -2*v**3 - 4*v**2 - 2*v + 8. Let b be g(-4). Let y = -68 + b. Solve 0 = -4*n - 8 - y for n.
-5
Let j = 5713 - 5688. Solve -j*z - 62 + 262 = 0 for z.
8
Let j = 63 + -45. Suppose 2*x = 2*s + 6, j = 2*x + s + 6. Suppose -2*o = -c + x, 0 = 2*o - 4*o - 4*c + 20. Solve 2*k = -o*k for k.
0
Suppose 328*l = 366*l - 266. Solve 0*m - l*m = -4*m for m.
0
Suppose j + 5*t = 190, -3*t - 328 = 244*j - 246*j. Solve 166*o - j*o = -16 for o.
4
Let w = 791 + -395. Let y = -394 + w. Solve 1 = y*j + 9 for j.
-4
Let t(b) = -61*b - 317. Let v be t(-9). Suppose -50*i + v = -21*i. Solve -c - i = -9 for c.
1
Let o = 1371 + -1208. Solve 18*f - 91 + o = 0 for f.
-4
Let j = -104 - 32. Let y = j + 148. Suppose -9*g = -y*g. Solve g = -4*h - 9 - 7 for h.
-4
Let i(w) = -w**3 + 14*w**2 + 16*w - 22. Let h be i(15). Let r be (-36)/h - (-8)/(-56). Let o = -426 + 440. Solve r*j - o = 6 for j.
4
Suppose 3*y - 12 = 6*y. Let m be 2 + ((-4)/(-3))/(y/(-3)). Suppose 0 = 8*k - m*k - 10. Solve -k*z + 4 = -3*z for z.
-4
Let i = 597 + -586. Let c = 196 - 192. Solve -c*g - i = -3 for g.
-2
Let t be (-18)/3 - (-560)/56. Solve 2*g = -t*g - 30 for g.
-5
Let w = -114 + 129. Suppose -w*r - 3*r + 450 = 0. Solve 12*t - 7*t = r for t.
5
Let l = 10461 - 10447. Solve 22 = -4*f + l for f.
-2
Let u be ((-1)/(-3))/((-40)/(-150))*68. Suppose 0 = -24*a + 7*a + u. Suppose -5*r + 0*s = 3*s - 13, -2*r + 3 = -s. Solve -a*n + r = -3 for n.
1
Let i(d) = -6*d + 56. Let m be i(9). Let w be (58 + -57)/(m/10). Solve w*k - 19 = -4 for k.
3
Suppose 52 = 2*k + 3*z - z, -3*z + 122 = 5*k. Let m be (16 - 17)/(-2 - k/(-12)). Solve -10*s = -m*s - 8 for s.
2
Suppose -3*a + 5*n + 558 = 0, n - 300 - 602 = -5*a. Solve 179*d - 2 = a*d for d.
-1
Let c(h) = 3*h - 4. Let v be c(3). Let r be 186/31*((-1)/(-7) + 35/98). Solve r*o - 7 = v for o.
4
Let z = 307 + 167. Let t = z - 454. Solve 25*l - t*l = -20 for l.
-4
Suppose 176*n = 134*n + 3150. Solve 69*i - 42 = n*i for i.
-7
Suppose -263*y = -265*y. Solve y = 6*q + 10 + 26 for q.
-6
Let b = 17149 - 17084. Solve 0 = -9*l + 74 - b for l.
1
Let u(n) be the first derivative of 13*n**2/2 - 156*n + 90. Let a be u(12). Solve -8*o + 9 + 15 = a for o.
3
Suppose 9*k - 12 = 3*k. Let v be 45/9 + 10/((-30)/9). Solve -4*r - v = -k*r for r.
-1
Suppose 3*u - 2 - 4 = 0. Suppose u*v - k - 17 = -2*v, 3*v - 8 = -4*k. Solve 0 = -j + v for j.
4
Suppose -7*h + 1 - 1 = 0. Let w be -11*(-5 + h)/5. Solve 8*z - w*z = -12 for z.
4
Suppose -22 = -18*x + 32. Suppose 0 = -3*v - x*v + 24. Solve 9 = v*a -
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from uruuffuttxuuf.
1/39
Three letters picked without replacement from {o: 3, w: 10, m: 5, h: 1, y: 1}. What is prob of picking 1 y, 1 o, and 1 w?
1/38
Two letters picked without replacement from {s: 1, o: 1, h: 1, z: 1, f: 4}. Give prob of picking 2 f.
3/14
Calculate prob of picking 2 z and 2 u when four letters picked without replacement from zppppuupvvvzuplppz.
1/340
Calculate prob of picking 1 z, 1 e, and 1 h when three letters picked without replacement from {q: 4, l: 3, k: 4, z: 1, h: 7, e: 1}.
7/1140
Four letters picked without replacement from djjijddjuicujjii. Give prob of picking 1 u, 2 d, and 1 i.
6/455
What is prob of picking 1 l, 1 w, 1 e, and 1 h when four letters picked without replacement from {e: 5, h: 4, l: 1, w: 3}?
12/143
Two letters picked without replacement from oyooyyyhhhyhoyoyy. What is prob of picking 1 h and 1 y?
4/17
Four letters picked without replacement from dhwdwbhhghw. What is prob of picking 1 b, 1 d, and 2 w?
1/55
Calculate prob of picking 2 h and 1 g when three letters picked without replacement from {h: 4, g: 2, b: 8}.
3/91
Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {u: 5, f: 2, i: 1, m: 1, b: 7, j: 1}.
7/68
What is prob of picking 1 x and 1 u when two letters picked without replacement from {u: 2, x: 3, q: 2, o: 5, r: 6}?
2/51
Four letters picked without replacement from iezrrrqqqrner. What is prob of picking 1 r, 1 z, 1 e, and 1 n?
2/143
Calculate prob of picking 1 k and 1 y when two letters picked without replacement from ckgjyhy.
2/21
Calculate prob of picking 2 z and 1 g when three letters picked without replacement from {g: 7, z: 6}.
105/286
Four letters picked without replacement from iiiziiimzzzimllimmm. Give prob of picking 1 z and 3 m.
10/969
Three letters picked without replacement from {a: 2, m: 1, i: 4, f: 8, j: 1}. What is prob of picking 1 m, 1 j, and 1 f?
1/70
What is prob of picking 1 k and 1 e when two letters picked without replacement from kuuunanmmenunknneumu?
2/95
What is prob of picking 1 f and 1 d when two letters picked without replacement from hkfkkhhhkdhhhtkhhhkh?
1/190
Calculate prob of picking 1 f and 1 b when two letters picked without replacement from iabwfwwyyyyy.
1/66
Two letters picked without replacement from {m: 4, x: 2, u: 3}. Give prob of picking 2 x.
1/36
What is prob of picking 2 c, 1 n, and 1 w when four letters picked without replacement from wnnnnlddcc?
2/105
Three letters picked without replacement from hkdhkhkk. Give prob of picking 1 k, 1 h, and 1 d.
3/14
What is prob of picking 1 p and 2 y when three letters picked without replacement from pyhppryypppp?
21/220
Calculate prob of picking 1 i and 2 h when three letters picked without replacement from {h: 5, i: 9}.
45/182
What is prob of picking 2 c when two letters picked without replacement from wcwwc?
1/10
Four letters picked without replacement from {w: 17, q: 2}. What is prob of picking 1 q and 3 w?
20/57
Three letters picked without replacement from {q: 2, o: 1, n: 3, x: 1, j: 1, h: 3}. Give prob of picking 1 o and 2 n.
1/55
Four letters picked without replacement from buugugguugubu. What is prob of picking 1 g and 3 u?
28/143
Four letters picked without replacement from {b: 2, d: 3}. What is prob of picking 2 d and 2 b?
3/5
What is prob of picking 3 r and 1 h when four letters picked without replacement from hrrlrhh?
3/35
Two letters picked without replacement from ssssmsmsss. What is prob of picking 2 m?
1/45
Two letters picked without replacement from {w: 3, v: 1, g: 1, b: 1, n: 5}. Give prob of picking 1 g and 1 v.
1/55
Calculate prob of picking 3 g and 1 x when four letters picked without replacement from {x: 3, g: 4, c: 3, r: 1}.
2/55
Three letters picked without replacement from {i: 1, u: 1, c: 1, b: 4, k: 5, a: 1}. What is prob of picking 1 i, 1 c, and 1 b?
2/143
Calculate prob of picking 1 d and 2 n when three letters picked without replacement from {n: 2, d: 2}.
1/2
What is prob of picking 1 f and 1 h when two letters picked without replacement from jofjfjhofj?
1/15
What is prob of picking 1 i and 1 q when two letters picked without replacement from {i: 1, j: 1, q: 4, s: 3, b: 2}?
4/55
Four letters picked without replacement from {e: 9, f: 5, s: 2}. What is prob of picking 1 e and 3 f?
9/182
Four letters picked without replacement from wwvwwwmwwtwmtw. Give prob of picking 1 t, 2 m, and 1 v.
2/1001
What is prob of picking 1 t and 1 d when two letters picked without replacement from zunnnnnzdcdtcdn?
1/35
What is prob of picking 2 a when two letters picked without replacement from jaajjfjjjfjfaa?
6/91
What is prob of picking 2 f, 1 y, and 1 e when four letters picked without replacement from {f: 1, o: 1, m: 1, y: 1, e: 1}?
0
Three letters picked without replacement from {y: 6, g: 1, e: 3, u: 1, c: 8}. What is prob of picking 1 u and 2 c?
28/969
Three letters picked without replacement from {p: 3, f: 17}. Give prob of picking 1 p and 2 f.
34/95
Calculate prob of picking 3 w when three letters picked without replacement from {g: 3, m: 2, q: 2, w: 3, b: 3}.
1/286
Calculate prob of picking 1 g and 1 k when two letters picked without replacement from kwngwuuuuugwg.
1/26
Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {s: 6, k: 1, e: 1, r: 3, b: 1}.
3/220
Calculate prob of picking 2 q when two letters picked without replacement from {p: 1, q: 4, v: 2}.
2/7
Three letters picked without replacement from duodffuofuuuudududuu. Give prob of picking 1 f and 2 o.
1/380
Two letters picked without replacement from {n: 7, x: 4}. Give prob of picking 2 x.
6/55
What is prob of picking 3 w and 1 d when four letters picked without replacement from wbbdwwwbkdbdb?
12/715
What is prob of picking 1 j and 1 z when two letters picked without replacement from {z: 3, p: 7, j: 3, v: 2}?
3/35
Three letters picked without replacement from whjjdhdjjkjjjjwtjjj. Give prob of picking 1 h, 1 d, and 1 w.
8/969
Three letters picked without replacement from nvnvnnv. What is prob of picking 2 n and 1 v?
18/35
Two letters picked without replacement from gvggvffgvggvvgdfvnnv. Give prob of picking 1 d and 1 v.
7/190
Three letters picked without replacement from {p: 17, v: 1, i: 1}. What is prob of picking 3 p?
40/57
What is prob of picking 2 k and 1 a when three letters picked without replacement from {k: 3, a: 3}?
9/20
Three letters picked without replacement from lpasl. What is prob of picking 1 p, 1 l, and 1 a?
1/5
What is prob of picking 3 l and 1 s when four letters picked without replacement from llwloslwolwl?
4/99
What is prob of picking 1 f and 2 y when three letters picked without replacement from {y: 2, f: 2}?
1/2
Two letters picked without replacement from {x: 7, b: 6}. Give prob of picking 1 x and 1 b.
7/13
Calculate prob of picking 3 h and 1 w when four letters picked without replacement from {w: 1, h: 14}.
4/15
Calculate prob of picking 2 y and 2 x when four letters picked without replacement from xykyyxyyxxy.
3/11
Two letters picked without replacement from kaikwmee. Give prob of picking 1 w and 1 i.
1/28
Two letters picked without replacement from rrnmmmnnmn. What is prob of picking 1 r and 1 m?
8/45
Calculate prob of picking 4 c when four letters picked without replacement from {k: 3, c: 7}.
1/6
What is prob of picking 1 t, 1 p, and 1 s when three letters picked without replacement from {s: 4, y: 3, p: 6, t: 6}?
48/323
Calculate prob of picking 2 g and 1 h when three letters picked without replacement from ghghrlhrgghhrgh.
12/91
What is prob of picking 1 c and 1 z when two letters picked without replacement from czlcnoln?
1/14
Two letters picked without replacement from {e: 9, i: 3, t: 4}. Give prob of picking 2 t.
1/20
Four letters picked without replacement from sccccsc. Give prob of picking 3 c and 1 s.
4/7
Four letters picked without replacement from sskzzzsshhshzsg. What is prob of picking 2 h, 1 s, and 1 g?
6/455
Calculate prob of picking 3 y and 1 i when four letters picked without replacement from yiiyyi.
1/5
Three letters picked without replacement from {l: 9, k: 5}. What is prob of picking 2 k and 1 l?
45/182
Calculate prob of picking 2 l when two letters picked without replacement from lllkqqqllqklkl
|
{
"pile_set_name": "DM Mathematics"
}
|
(-6*(-4)/(-8))/((-195)/52). Determine c, given that 0*c**2 - 6/5*c + i + 2/5*c**3 = 0.
-2, 1
Let j be 2/((-24)/(-9))*-4. Let r = 3 + j. Suppose k**2 + r*k**2 + 0 + 1 - 2*k = 0. Calculate k.
1
Let a be 166/63 + 12/(-42). Let l = 18/7 - a. Solve -l*s - 2/9*s**2 + 0 = 0 for s.
-1, 0
Let q be 2 - (-3 + 51/12). Determine t, given that q*t**4 + 4*t + 7/2*t**3 + 23/4*t**2 + 1 = 0.
-2, -1, -2/3
Factor 4 + 2*d**2 - 2*d**3 + 3*d - 6*d**2 - d.
-2*(d - 1)*(d + 1)*(d + 2)
Let x = -73 - -76. Let g(o) be the first derivative of -1/8*o**2 - 1/12*o**3 + x + 0*o. Suppose g(h) = 0. What is h?
-1, 0
Let f = 7 - 5. Suppose 0*g - 12 = -5*g + i, 0 = g + i. Factor g*j**4 - 4*j**2 - f*j**3 - 2*j**2 + 4*j**2 + 2*j.
2*j*(j - 1)**2*(j + 1)
Let m be (-35)/77*8/(-20). Factor 0 + 0*l**4 + 4/11*l**3 + 0*l**2 - m*l - 2/11*l**5.
-2*l*(l - 1)**2*(l + 1)**2/11
Let r(o) be the first derivative of 9*o**4 - 11*o**3 + 0*o + 2 + 3*o**2 + 33/5*o**5 - 7*o**6. Solve r(q) = 0.
-1, 0, 2/7, 1/2, 1
Let a(m) be the first derivative of m**4/18 + m**3/9 - m - 1. Let b(d) be the first derivative of a(d). Factor b(c).
2*c*(c + 1)/3
Let z(j) be the first derivative of -3 + 1/25*j**5 + 1/20*j**4 + 0*j + 0*j**3 + 0*j**2. Factor z(h).
h**3*(h + 1)/5
Suppose -w = -5*w + 60. Suppose 0 = 2*d + 3*d - w. Factor 0*h**d - h**3 + 3*h**3 - 2*h.
2*h*(h - 1)*(h + 1)
Let j(c) be the first derivative of 3/5*c**2 + 4/5*c - 2 - 2/3*c**3. Factor j(k).
-2*(k - 1)*(5*k + 2)/5
Factor 0 + 7/2*c**4 + 3*c - 25/2*c**2 + 6*c**3.
c*(c - 1)*(c + 3)*(7*c - 2)/2
Let z(l) be the second derivative of 1/3*l**3 + 0 + 0*l**4 - 2*l + 1/150*l**5 - 1/900*l**6 + 0*l**2. Let b(f) be the second derivative of z(f). Factor b(n).
-2*n*(n - 2)/5
Let x be ((-1)/3)/(1/(-30)). Let u = 11 - x. Factor 0*s**2 + 0 + 3*s + 3 - u + s**2.
(s + 1)*(s + 2)
Suppose 4*h = 12*h - 16. Factor -8/3*z + 2/3*z**h + 8/3*z**3 - 2/3.
2*(z - 1)*(z + 1)*(4*z + 1)/3
Let w be -2 + 6/2 + 1. Let -4*l**4 - l + l + 4*l**2 + 2*l - w*l**5 = 0. What is l?
-1, 0, 1
Let d(w) = -2*w - 10. Let c be d(-5). Factor 13*g + c*g**3 - 13*g + g**3.
g**3
Let v be (-1)/((-2)/24) + 2. Let m be (-2)/(1 - (v - 3)). Let 0*u**2 + 0 + m*u**3 + 0*u + 2/5*u**4 + 1/5*u**5 = 0. What is u?
-1, 0
Let p = -6 - -7. Let s(k) = -k**3 + k**2 - k + 1. Let b(c) = 2*c**2 - 4*c + 2. Let j(u) = p*b(u) - 2*s(u). Factor j(l).
2*l*(l - 1)*(l + 1)
Suppose 4*i = -4*v - 0*v + 8, 5*i + 17 = 4*v. Factor 10*g**v + 2 - 3*g - 3*g**5 - 4*g**3 - 2.
-3*g*(g - 1)**2*(g + 1)**2
Factor 0 - 13/5*n**4 + 11/5*n**3 + 2/5*n**2 + 0*n.
-n**2*(n - 1)*(13*n + 2)/5
Let v(f) be the first derivative of 3*f**6/20 - f**5/10 - 2*f**4/3 + 4*f**3/3 + 2*f**2 - 3. Let x(y) be the second derivative of v(y). Solve x(h) = 0.
-1, 2/3
Let d = -16 - -146/9. Suppose -2/9*b**5 - d*b**4 + 2/9*b**3 + 0*b + 0 + 2/9*b**2 = 0. Calculate b.
-1, 0, 1
Let z(s) = -s**3 + 15*s**2 - 13*s - 16. Let y be z(14). Let o(q) = q**3 + 2*q**2 - q. Let h be o(y). What is b in 3/2*b**3 - 3/4*b**4 - 3*b + 9/4*b**h - 3 = 0?
-1, 2
Factor 4/5*j - 4/5*j**3 + 4/5*j**2 - 4/5.
-4*(j - 1)**2*(j + 1)/5
Let q(d) be the first derivative of 1/105*d**7 + 0*d + 0*d**6 + 0*d**4 + 2 + 0*d**5 + 0*d**3 - 1/2*d**2. Let a(j) be the second derivative of q(j). Factor a(i).
2*i**4
Let b(i) = -6*i**3 - i**2 + 1. Let o be b(-1). Let l(u) be the first derivative of 0*u - 1 - 6/5*u**5 - 8/3*u**3 + 0*u**2 + 3*u**4 + 1/6*u**o. Factor l(c).
c**2*(c - 2)**3
Let u(y) be the third derivative of -y**5/80 + 5*y**4/16 - 25*y**3/8 + 13*y**2. Solve u(l) = 0 for l.
5
Let s(u) be the third derivative of 0 + 1/36*u**3 + 3*u**2 - 1/360*u**6 + 0*u - 1/36*u**4 + 1/72*u**5. Suppose s(x) = 0. What is x?
1/2, 1
Let l(v) be the second derivative of -v**5/140 + v**3/42 + 19*v. Solve l(z) = 0 for z.
-1, 0, 1
Suppose -5*d = -4*y - d - 4, d = 5*y - 11. Solve -8*v**2 - 6*v + 5*v**5 + 4*v**4 - y*v**5 + 0*v**5 + 8*v - 4*v**3 + 4 = 0.
-2, -1, 1
Suppose -4 = -q - i - 3, 2*i = 0. Suppose 2*j - q = -4*o + 3, -2*j + 6 = 5*o. Factor -4*p**3 - 3*p**5 - 2*p**5 + o*p + 4*p**5 + 3*p**5.
2*p*(p - 1)**2*(p + 1)**2
Let h be (-38)/171 - (-2)/9. Let k(u) be the third derivative of 0*u + 1/30*u**5 + 1/60*u**6 - 1/6*u**4 + h*u**3 + u**2 + 0. Solve k(b) = 0.
-2, 0, 1
Suppose -2*j = l + l - 26, 2 = 2*j. Determine c, given that l*c**4 + 314*c**3 - 2*c + 2*c - 299*c**3 + 3*c**2 = 0.
-1, -1/4, 0
Let d = -202 + 3637/18. Let v(c) be the first derivative of 1/6*c**2 + 0*c**5 + 2 - 1/6*c**4 + 0*c**3 + d*c**6 + 0*c. Let v(b) = 0. What is b?
-1, 0, 1
Let d be (-9)/(-504)*108 + 6/(-4). Factor -d*q**2 + 15/7*q - 12/7.
-3*(q - 4)*(q - 1)/7
Let c(o) = -144*o**5 - 60*o**4 + 72*o**3 - 9*o**2 + 3*o + 3. Let j(g) = -g**5 - g**4 - g**2 - g - 1. Let t(s) = c(s) + 3*j(s). Factor t(q).
-3*q**2*(q + 1)*(7*q - 2)**2
Let c(x) be the second derivative of -1/9*x**2 + 0 + 4*x + 1/27*x**3 - 1/90*x**5 + 1/54*x**4. Let c(y) = 0. Calculate y.
-1, 1
Let -3*u**3 - 3*u**2 + u**2 + 11*u**2 = 0. What is u?
0, 3
Factor -2*q**2 - 10 - 7*q**2 + 25*q - 6*q**2.
-5*(q - 1)*(3*q - 2)
Let y = -26 + 28. Find f, given that 2/3*f + 4/3*f**y + 2/3*f**3 + 0 = 0.
-1, 0
Let r = -366 + 368. Determine j, given that 2/3 - 3*j**3 + 0*j - 17/6*j**r - 5/6*j**4 = 0.
-2, -1, 2/5
Let z(b) be the third derivative of 0 + 2*b**2 + 3/20*b**5 + 1/40*b**6 + 0*b**3 + 0*b + 0*b**4. What is q in z(q) = 0?
-3, 0
Suppose 2*t - 4*o + 14 = 0, 0*t - 4*t - 50 = 3*o. Let h be (t + 11)/(0 - -1). Factor 1/3*p**2 + 0 + h*p**3 + 0*p - 1/3*p**4.
-p**2*(p - 1)*(p + 1)/3
Let x = -27 - -31. Let o(g) be the third derivative of 0 + 0*g + 0*g**x + g**2 - 1/3*g**3 + 1/30*g**5. Solve o(h) = 0 for h.
-1, 1
Solve -10/13 + 12/13*s - 2/13*s**2 = 0.
1, 5
Suppose 3/2*r**5 + 9/2*r**4 + 0*r + 0*r**2 + 0 + 3*r**3 = 0. Calculate r.
-2, -1, 0
Factor -2/5 - 9/10*c**3 - 21/10*c**2 - 8/5*c.
-(c + 1)*(3*c + 2)**2/10
Let k(p) = -p**4 - p**3 + p**2 - p. Suppose -6*n = -n + 30. Let x(d) = -3*d**4 - 3*d**3 - 3*d**2 - 21*d - 6. Let a(m) = n*k(m) + x(m). Factor a(q).
3*(q - 2)*(q + 1)**3
Let g(p) = -54*p**5 + 51*p**4 + 52*p**3 - 55*p**2 - 7*p - 5. Let x(b) = -b**4 + b**2 - b - 1. Let k(z) = -2*g(z) + 18*x(z). Solve k(w) = 0.
-1, -2/9, 1/3, 1
Let m(v) be the first derivative of -v**7/35 - v**6/15 - v**5/50 + v**4/30 + v + 7. Let n(q) be the first derivative of m(q). Factor n(d).
-2*d**2*(d + 1)**2*(3*d - 1)/5
Let y(l) be the first derivative of l**6/720 - l**5/240 + 8*l**3/3 - 7. Let s(p) be the third derivative of y(p). Factor s(x).
x*(x - 1)/2
Let l(h) be the third derivative of h**8/448 - h**7/56 + h**6/80 + 7*h**5/40 - 3*h**4/32 - 9*h**3/8 + 15*h**2. Suppose l(s) = 0. Calculate s.
-1, 1, 3
Let v(o) be the third derivative of 10*o**7/21 - 17*o**6/3 + 349*o**5/15 - 34*o**4 + 24*o**3 + 12*o**2. Factor v(g).
4*(g - 3)**2*(5*g - 2)**2
Let b(t) = t**2 + t + 2. Let f be b(0). Factor f*m**2 + 5*m - 2 - 5*m.
2*(m - 1)*(m + 1)
Let u = 19463 - 95441/5. Let w = 376 - u. Solve 4/5*s**5 - 2/5*s**2 + 2/5*s - w*s**3 + 0 + 2/5*s**4 = 0.
-1, 0, 1/2, 1
Let s(n) be the second derivative of -n**7/98 - n**6/70 + 3*n**5/140 + n**4/28 + 8*n. Factor s(u).
-3*u**2*(u - 1)*(u + 1)**2/7
Let l(n) be the second derivative of n**6/70 - n**4/28 + 8*n. Determine k, given that l(k) = 0.
-1, 0, 1
Let k(x) be the third derivative of -x**6/480 + x**5/48 - x**4/32 - 3*x**3/8 - 31*x**2. Determine m so that k(m) = 0.
-1, 3
Let s(r) = -r**2 - r + 3. Suppose 0 = -2*u + 6*u. Let v be s(u). Factor 1/4*a**v + 1/2*a**2 + 1/4*a + 0.
a*(a + 1)**2/4
Let j(z) = -6*z**3 - 13*z**2 - 17*z - 1. Let d(m) = -18*m**3 - 40*m**2 - 50*m - 4. Let n(u) = 3*d(u) - 8*j(u). Factor n(h).
-2*(h + 1)**2*(3*h + 2)
Factor -17*p**2 + 10*p**4 - 9*p**4 + 12*p**3 - 5*p**4 + 4*p + 5*p**2.
-4*p*(p - 1)**3
Suppose -3*o = -5*o + 4. Factor o + 44*r + 2 + 196*r**3 + 76*r**2 + 85*r**2.
(4*r + 1)*(7*r + 2)**2
Factor 6*x**3 - 10*x**5 - 13*x**5 + 20*x**5 - 3*x.
-3*x*(x - 1)**2*(x + 1)**2
Let s(k) = -31*k**2 - k. Let w be s(1). Let g = w - -133/4. Find t such that 5/2*t**3 + 5/4*t - 1/4 + 1/4*t**5 - 5/2*t**2 - g*t**4 = 0.
1
Let d(a) be the third derivative of -a**8/560 + a**7/280 - 2*a**3/3 - 2*a**2. Let s(h) be the first derivative of d(h). Find n, given that s(n) = 0.
0, 1
Suppose -5*h + 4*i - 10 = -i, 4 = -h + 2*i. Factor -2/7*s**3 + h + 0*s**2 + 2/7*s.
-2*s*(s - 1)*(s + 1)/7
Let h be 1/45*(-21)/(-28). Let i(c) be the third deri
|
{
"pile_set_name": "DM Mathematics"
}
|
4
What is the g'th term of 10924, 11042, 11162, 11284?
g**2 + 115*g + 10808
What is the b'th term of -756529, -1513054, -2269581, -3026110, -3782641?
-b**2 - 756522*b - 6
What is the g'th term of 111, -762, -2211, -4230, -6813, -9954, -13647?
g**3 - 294*g**2 + 2*g + 402
What is the p'th term of -21947, -21489, -20723, -19649, -18267, -16577?
154*p**2 - 4*p - 22097
What is the m'th term of -51304095, -51304096, -51304097, -51304098, -51304099, -51304100?
-m - 51304094
What is the y'th term of 120684, 120687, 120704, 120735, 120780, 120839, 120912?
7*y**2 - 18*y + 120695
What is the v'th term of -26, 1988, 5340, 10030?
669*v**2 + 7*v - 702
What is the z'th term of 76982, 151328, 225674, 300020, 374366, 448712?
74346*z + 2636
What is the d'th term of -18486, -36955, -55424, -73893, -92362?
-18469*d - 17
What is the u'th term of -177303, -177455, -177601, -177741, -177875, -178003?
3*u**2 - 161*u - 177145
What is the p'th term of 749573, 1499146, 2248719, 2998292, 3747865?
749573*p
What is the w'th term of 2593, 13395, 31405, 56629, 89073?
w**3 + 3598*w**2 + w - 1007
What is the s'th term of 299745, 299699, 299653, 299607, 299561, 299515?
-46*s + 299791
What is the w'th term of 8091, 62721, 210533, 498117, 972063?
7765*w**3 + w**2 + 272*w + 53
What is the f'th term of -280, -509, -844, -1285, -1832, -2485, -3244?
-53*f**2 - 70*f - 157
What is the j'th term of 7308438, 7308304, 7308080, 7307766, 7307362, 7306868, 7306284?
-45*j**2 + j + 7308482
What is the x'th term of 11403520, 45614085, 102631698, 182456359, 285088068, 410526825?
11403524*x**2 - 7*x + 3
What is the j'th term of 11128, 42435, 93908, 165547, 257352, 369323?
10083*j**2 + 1058*j - 13
What is the d'th term of 178350, 356778, 535214, 713664, 892134?
d**3 - 2*d**2 + 178427*d - 76
What is the s'th term of -5763, -9146, -12529, -15912, -19295, -22678?
-3383*s - 2380
What is the h'th term of 64109, 63949, 63789, 63629, 63469?
-160*h + 64269
What is the d'th term of -31289, -62587, -93873, -125141, -156385, -187599, -218777, -249913?
d**3 - 31305*d + 15
What is the w'th term of 7218, 15397, 23588, 31791?
6*w**2 + 8161*w - 949
What is the r'th term of 1679820, 1679800, 1679780, 1679760, 1679740, 1679720?
-20*r + 1679840
What is the z'th term of 6946, -2134, -11216, -20300, -29386?
-z**2 - 9077*z + 16024
What is the f'th term of -32432, -64861, -97262, -129623, -161932?
2*f**3 + 2*f**2 - 32449*f + 13
What is the q'th term of 1395285, 2790564, 4185843, 5581122, 6976401?
1395279*q + 6
What is the x'th term of -825, -1078, -1583, -2466, -3853?
-21*x**3 - 106*x - 698
What is the h'th term of -8931, -17023, -30511, -49395, -73675?
-2698*h**2 + 2*h - 6235
What is the x'th term of -10652, -22281, -34898, -48503, -63096, -78677, -95246?
-494*x**2 - 10147*x - 11
What is the n'th term of -473648, -947302, -1420964, -1894634, -2368312?
-4*n**2 - 473642*n - 2
What is the i'th term of 6342989, 12685982, 19028973, 25371962, 31714949?
-i**2 + 6342996*i - 6
What is the i'th term of 6971601, 13943216, 20914831, 27886446?
6971615*i - 14
What is the c'th term of 946177, 946180, 946183, 946186, 946189?
3*c + 946174
What is the h'th term of -11024132, -22048297, -33072462, -44096627, -55120792, -66144957?
-11024165*h + 33
What is the w'th term of 485026, 970160, 1455294, 1940428, 2425562?
485134*w - 108
What is the o'th term of -203552435, -203552436, -203552437, -203552438, -203552439, -203552440?
-o - 203552434
What is the l'th term of -195667, -391327, -586985, -782641, -978295, -1173947?
l**2 - 195663*l - 5
What is the z'th term of -2705, -18918, -62931, -148646, -289965, -500790, -795023?
-2317*z**3 + 2*z**2 - 390
What is the g'th term of 237193, 236841, 236489, 236137?
-352*g + 237545
What is the w'th term of -74554, -71877, -69200, -66523, -63846, -61169?
2677*w - 77231
What is the v'th term of -5089378, -10178748, -15268118, -20357488, -25446858?
-5089370*v - 8
What is the w'th term of 74329, 74310, 74267, 74188, 74061, 73874?
-2*w**3 - 5*w + 74336
What is the p'th term of -5830225, -11660491, -17490757, -23321023, -29151289?
-5830266*p + 41
What is the z'th term of 4314328, 4314325, 4314322, 4314319, 4314316?
-3*z + 4314331
What is the y'th term of 1662, 6291, 13884, 24441?
1482*y**2 + 183*y - 3
What is the t'th term of 3044024, 3043987, 3043950, 3043913, 3043876, 3043839?
-37*t + 3044061
What is the v'th term of -44835, -44708, -44581?
127*v - 44962
What is the v'th term of 95032, 189975, 284904, 379813, 474696, 569547?
-v**3 - v**2 + 94953*v + 81
What is the i'th term of -15755, -15134, -14513?
621*i - 16376
What is the w'th term of -58367, -58273, -58181, -58091, -58003, -57917, -57833?
-w**2 + 97*w - 58463
What is the h'th term of -761047346, -761047347, -761047348, -761047349, -761047350, -761047351?
-h - 761047345
What is the u'th term of 1020028, 2040063, 3060102, 4080145, 5100192, 6120243, 7140298?
2*u**2 + 1020029*u - 3
What is the k'th term of -8669652, -8669722, -8669792, -8669862, -8669932, -8670002?
-70*k - 8669582
What is the y'th term of -149723, -299443, -449165, -598889?
-y**2 - 149717*y - 5
What is the t'th term of 85645903, 171291801, 256937697, 342583591, 428229483, 513875373?
-t**2 + 85645901*t + 3
What is the x'th term of 264554879, 264554882, 264554885, 264554888, 264554891?
3*x + 264554876
What is the g'th term of -13199166, -13199164, -13199162, -13199160, -13199158, -13199156?
2*g - 13199168
What is the b'th term of 39373872, 39373871, 39373870?
-b + 39373873
What is the z'th term of -64616, -129604, -194970, -260720, -326860, -393396, -460334?
-z**3 - 183*z**2 - 64432*z
What is the i'th term of 4780524, 9561051, 14341578, 19122105?
4780527*i - 3
What is the a'th term of -226899244, -453798480, -680697716, -907596952, -1134496188?
-226899236*a - 8
What is the z'th term of -12042383, -12042380, -12042377, -12042374, -12042371, -12042368?
3*z - 12042386
What is the v'th term of -6274, -23437, -51488, -90427, -140254, -200969?
-5444*v**2 - 831*v + 1
What is the t'th term of -2453008, -19623999, -66230968, -156991903, -306624792?
-2452998*t**3 - t**2 - 2*t - 7
What is the l'th term of -770467, -1540965, -2311463, -3081961, -3852459, -4622957?
-770498*l + 31
What is the z'th term of 1402365, 1402418, 1402471, 1402524, 1402577, 1402630?
53*z + 1402312
What is the x'th term of -929379, -929393, -929419, -929457, -929507, -929569, -929643?
-6*x**2 + 4*x - 929377
What is the v'th term of -7025, -13887, -20267, -25925, -30621, -34115, -36167, -36537?
40*v**3 + v**2 - 7145*v + 79
What is the t'th term of 7786, 7967, 8294, 8767?
73*t**2 - 38*t + 7751
What is the t'th term of -23350, -46322, -69306, -92302, -115310, -138330, -161362?
-6*t**2 - 22954*t - 390
What is the z'th term of -7518, -14519, -20460, -24813, -27050, -26643, -23064, -15785?
88*z**3 + 2*z**2 - 7623*z + 15
What is the w'th term of 8406489, 16812979, 25219471, 33625965, 42032461, 50438959, 58845459?
w**2 + 8406487*w + 1
What is the g'th term of -1034645, -4138582, -9311805, -16554314, -25866109, -37247190, -50697557?
-1034643*g**2 - 8*g + 6
What is the a'th term of 34062, 35316, 36570, 37824?
1254*a + 32808
What is the l'th term of 65817408, 65817404, 65817398, 65817390, 65817380, 65817368, 65817354?
-l**2 - l + 65817410
What is the u'th term of -980265, -980299, -980333, -980367?
-34*u - 980231
What is the q'th term of 2233, 6242, 11995, 19492, 28733, 39718?
872*q**2 + 1393*q - 32
What is the c'th term of -16182, -16149, -16114, -16077, -16038?
c**2 + 30*c - 16213
What is the h'th term of -1638777, -3277672, -4916567, -6555462, -8194357?
-1638895*h + 118
What is the o'th term of 6269, 12849, 19743, 26951?
157*o**2 + 6109*o + 3
What is the y'th term of -4668, -4186, -3618, -2922, -2056?
7*y**3 + y**2 + 430*y - 5106
What is the k'th term of -1654, -1656, -1616, -1528, -1386, -1184, -916, -576?
k**3 + 15*k**2 - 54*k - 1616
What is the c'th term of 966222, 966072, 965910, 965730, 965526?
-c**3 - 143*c + 966366
What is the o'th term of 483771887, 483771886, 483771885?
-o + 483771888
What is the m'th term of 16684, 18325, 19966, 21607?
1641*m + 15043
What is the j'th term of -8427, -13602, -18775, -23946?
j**2 - 5178*j - 3250
What is the f'th term of -59120, -59154, -59190, -59228, -59268, -59310, -59354?
-f**2 - 31*f - 5908
|
{
"pile_set_name": "DM Mathematics"
}
|
c = 88 + x. Suppose 4*m - 3*m = -o + c, -3*m + 102 = -o. Is m a composite number?
True
Suppose l + 4*c = -2, -c = -5*l - 6*c + 5. Is (7/l)/((-1)/(-6)) prime?
False
Let n(u) = -u - 6. Let k be n(-6). Let d = k + 2. Suppose -2*p + 451 = 5*z, d*z = 4*p - p + 188. Is z prime?
False
Suppose 2945 = 2*f + 3*f. Suppose -3*l = -5*n - f, -2*n = 5*l - 0*l - 1023. Is l prime?
False
Let a(w) = 143*w + 2. Let l be a(1). Let j = l + -99. Is j a prime number?
False
Let o be -46*-7*(-2)/4. Let q = 318 + o. Is q prime?
True
Is ((-534)/(-4))/((-1)/(-2)) composite?
True
Let u(v) = -16*v + 18. Is u(-8) composite?
True
Let c = -10 + 17. Suppose 2*n + 115 = c*n. Is n composite?
False
Let o(r) = 2*r**3 - 7*r + 5. Let f be o(4). Let v = 127 - 53. Let z = f - v. Is z a composite number?
False
Suppose y - 4*n - 145 = 0, 216 = 5*y + 5*n - 584. Suppose -y = -2*f - 3. Is f a prime number?
False
Suppose -3*g + 32 + 4 = 0. Is 1055/20 + 3/g composite?
False
Let b = 36 + -21. Let o be (0 - 6)*10/b. Is (o - -2)*(-26)/4 prime?
True
Let r(y) = 10*y**2 + 6 - y - 3 - 2 + 2*y. Is r(-2) a prime number?
False
Suppose 5*c + 1657 = 3*s - 4563, s - 2045 = -4*c. Suppose 5*l + 0*l = s. Is l a composite number?
True
Is (-3 + (-221 - -3))*-1 prime?
False
Suppose -508 = -2*a + 870. Is a a composite number?
True
Suppose 2*w = 3 + 3. Suppose 4*c + 4*h = 236, -5*h - 55 + 240 = w*c. Is c a prime number?
False
Let f = -42 - -59. Let g = 4 + f. Is g a composite number?
True
Let b = 21 - 46. Let g = 58 + b. Suppose -x - 152 = -5*m - g, -m = 2*x - 15. Is m a composite number?
False
Suppose 12*r = 8*r + 1180. Is r prime?
False
Suppose 0 = c - 5*x - 1 + 18, -3 = 3*c - 3*x. Suppose -c*a = -3*q + 273, 0 = -4*a + 8*a + 8. Suppose 0*f - q = -f. Is f prime?
True
Let w = -7 - -2. Let a be 2/w - (-6)/(-10). Is 98 + (2 - 2) + a a prime number?
True
Let q = 11 + -6. Let m(p) = p**2 - 2*p + 5. Let g be m(q). Suppose 276 = -w + 4*w + 3*k, -g = -4*k. Is w a composite number?
True
Let q(g) = -g. Let t be q(-3). Suppose 0 = 5*h - 3*x - 0*x - 61, 2*h + t*x - 37 = 0. Let f = 25 - h. Is f prime?
True
Suppose 7*q = 5*q + 474. Suppose 5*x - q = 2*g + 102, 5*g - 57 = -x. Is x a composite number?
False
Let g be 163/(-2 - (-5 + 2)). Suppose 207 = 5*r - g. Is r prime?
False
Let r = -2 + 1. Let j be (-168 - -7)/(r/1). Let h = j - 96. Is h prime?
False
Suppose 0 = 6*x - x - 20. Suppose 377 = x*q + 117. Is q a composite number?
True
Is (-131)/2*(0 - 2) a composite number?
False
Let b be 6/9*(-2 - 1). Let a(n) = 37*n**2 + 1. Is a(b) a composite number?
False
Suppose 0 = -4*u - 5*n + 120, 5*u - n = -2*n + 171. Is (-1*3)/3 + u prime?
False
Let z be -4 + -3 + 2/1. Let l(j) = -10*j + 1. Let h(a) = -a + 1. Let c(d) = 6*h(d) + l(d). Is c(z) prime?
False
Let n(q) = -q - 4. Suppose 3*o - 2*o = -2. Let k be n(o). Is 33/(-12)*k*6 a prime number?
False
Let t = 51 - -110. Suppose 3*f = 2*l + t, -3*l = f - 0*f - 72. Is f prime?
False
Let p = 680 + -387. Is p a composite number?
False
Suppose 8 = 2*a + 2*w, -4*a + 20 = 3*w + 3. Suppose -2 = g + g, a*d = -g + 234. Is d a composite number?
False
Suppose 354 = 5*l - 4*a, l - 2*a + 6*a - 66 = 0. Suppose -3*u = -8*u + l. Is u a composite number?
True
Let a(v) be the first derivative of 2*v**3 + v**2 + v - 1. Let g = -3 + 0. Is a(g) a prime number?
False
Let v be 2/3 - 12/(-9). Suppose -2*y = -0*y - 2*p + 16, -5*y = p + 52. Is (-1 - 6)/(v/y) prime?
False
Let n(u) = -81*u - 13. Is n(-10) a prime number?
True
Suppose -j = -f - 2, 0 = -j - 3*j + f - 4. Let u be (1/3)/(j/(-18)). Suppose 176 + 31 = u*c. Is c a composite number?
True
Suppose 0 = -m + 8 - 3. Suppose -2*h + 367 = -2*q - 25, m*q + 25 = 0. Is h a composite number?
False
Suppose -w - p + 6 = 0, -w + 4*p = -0*w + 14. Let k(j) = 2*j**3 + 2*j**2 - 3*j + 3. Is k(w) prime?
False
Suppose h - 2*s - 1 - 7 = 0, -3*s + 14 = 5*h. Suppose -i = 4*o - 0*o + 3, -h*i - 12 = 3*o. Is 4/6*(i - -114) prime?
False
Let m(z) = z**3 + 13*z**2 - 16*z - 3. Is m(-13) composite?
True
Let p be 0*(8/(-6))/(-4). Suppose t - 5*c = 5, t = c - p*c + 17. Let b = 41 - t. Is b a composite number?
True
Suppose -2*o - 618 = -4*g, 3*g + 2*o = o + 476. Is g a prime number?
True
Suppose -2*l - f + 8 = 0, 3*f - 1 = l + 9. Suppose 0 = l*z - 5*p - 35, -2*z + p = -6*z + 15. Is (-6 + z)*(0 - 55) a composite number?
True
Suppose 0 = -h - 4*h + 20. Suppose 81 = z + h. Is 2/((-1)/z*-2) prime?
False
Let f(p) = 3*p - 6. Let y(g) = 2*g - 6. Let s(c) = -4*f(c) + 5*y(c). Let t be s(-5). Suppose 57 = t*k - 47. Is k composite?
True
Suppose -5*s = -3*p - 3980, -3*s - 2*p - 3*p + 2354 = 0. Is s composite?
True
Let t = -307 - -1214. Is t composite?
False
Suppose -5*t + i = -10 - 22, 4*t + 3*i - 37 = 0. Let k be 2/t + 8/(-28). Suppose 0 = -y - k*y + 97. Is y a composite number?
False
Let b(g) = 46*g**2 - 19*g - 7. Is b(8) a prime number?
False
Is (-1 + 2)*(-4 - (-5 - 1318)) a prime number?
True
Suppose -6*b - 83 = -377. Is b a prime number?
False
Let o(j) = -3*j + 4. Suppose -r - 2 = 7. Is o(r) a prime number?
True
Suppose h + 36 = 3*h. Is 7119/h - (-2)/(-4) prime?
False
Let u = 454 - -1231. Is u a composite number?
True
Suppose 0 = 12*g - 10*g - 3314. Is g a prime number?
True
Suppose 2378 = 5*f - 132. Is f composite?
True
Let m(h) = -h**3 - 12*h**2 + h. Let q be m(-12). Is (9 + q)*(-11)/1 a composite number?
True
Let g = -8 - -6. Let v(j) = 13*j**2 - 3*j - 3. Is v(g) a prime number?
False
Let s be (-4)/(-2) - (-2 - 1651). Suppose -6*q = -q - s. Is q a composite number?
False
Let p = -4 - -5. Let c be (-1)/1*p*-45. Suppose c + 150 = 3*n. Is n prime?
False
Suppose 5*x = 1122 + 2963. Is x prime?
False
Let s(q) be the third derivative of q**5/60 - 11*q**4/24 - 13*q**3/6 + 5*q**2. Is s(-9) prime?
True
Let w = -100 - -193. Is w composite?
True
Let a(m) = -m**3 + 16*m**2 + m - 17. Let t be a(16). Is (59 + t)/(5/5) prime?
False
Suppose -7*x + 16076 = 4897. Is x a prime number?
True
Let t be (-6 - -3 - -6) + -157. Let p = -9 - t. Is p a composite number?
True
Let y(u) = -u**3 + 4*u**2 - u - 3. Let n be 2/9 + (-16)/(-9). Suppose 0 = 4*m - n*m - x - 1, 25 = 5*x. Is y(m) prime?
True
Suppose -5*i + 1 = -2*p, -3*p + 12 = 2*i + 2*p. Let d(t) = -t**2 - i + 0*t - t**3 - 4*t - t. Is d(-4) a prime number?
True
Suppose 2*j + 3*m - 2*m - 10 = 0, -5*j = -2*m - 25. Suppose -j*w - 4*o = 10, 4*w - 28 = o + 3*o. Is w/8 + (-2485)/(-28) a prime number?
True
Let g(c) = 38*c - 17. Let k = 2 - -11. Let n(i) = 19*i - 8. Let v(r) = k*n(r) - 6*g(r). Is v(7) prime?
True
Suppose 1195 = 18*n - 17*n. Is n prime?
False
Let u(s) = -s + 1. Let m be u(1). Suppose w + 257 = r, -w + 1 = -m*w. Suppose 0 = a - c - 88, 0 = 3*a - 0*a - c - r. Is a a composite number?
True
Let w = 266 + -149. Suppose 2*n - w = -n. Suppose 0 = -4*a - n + 91. Is a prime?
True
Let k(t) = -t**3 + 9*t**2 - 9*t + 5. Is k(6) composite?
False
Suppose -5*c + 5*w + 310 + 80 = 0, 5*w - 226 = -3*c. Suppose -3*h - 4*s = -244, -2*h = -h - 3*s - c. Suppose -5 = 5*t - h. Is t prime?
False
Suppose -2*g - 2 + 8 = 0. Suppose -a + 85 = g*o, 5*o = 3*a - 239 - 44. Is a composite?
True
Suppose 2*k + 97 = -35. Is 2/11 - 846/k a composite number?
False
Let z = 3394 + -1851. Is z a composite number?
False
Suppose 0 = 3*y + h - 1897, 3*h = 5*y - 2*h - 3135. Is y a prime number?
True
Is (4558/(-6) + -1)/((-6)/9) prime?
False
Let s(t) = -6*t - 1. Let m be s(-6). Let g = -238 - -136. Is (-10)/m + g/(-14) a prime number?
True
Suppose -3*k + b = -11777 - 1466, 0 = -4*k - 2*b + 17664. Is k a prime number?
False
Suppose 0 = -18*k + 13*k + 4505. Is k composite?
True
Suppose 5*c - 477 = -2*n, -226 = -n + 2*c - 7*c. Is n a prime number?
True
Let i = -2 - -4. Is (0 - i) + 23 + 1 a prime number?
False
Suppose -4*p + p + 9486 = 3*j, p - 3164 = j. Is p a prime number?
True
Let p(y) = -y**2 - 10*y. Let k be p(-10). Let x(m) = -m. Let r be x(k). Suppose r = -4*s + 59 + 129. Is s prime?
True
Let y(u) = 205*u**2 + 5*u + 8. Is y(-2) a composite number?
True
Suppose 4*h + 20 = 0, 0*h = -4*w + 2*h + 34. Suppose -w = -v + 13. Is v prime?
True
Let i(c) = -33*c + 198. Let q(d) = -1. Let b(t) = i(t) + 198*q(t). Let j = -2 + 1. Is b(j) a prime number?
False
Let i be 138 + (-3 + 0 - -2). Suppose 4*f = i + 59. Is f composite?
True
Suppose -4*y - 2*n + 161 = -y, 3*y = -4*n + 157. Is y prime?
False
Let m(o) = -o**3
|
{
"pile_set_name": "DM Mathematics"
}
|
lacement from xxaxaaaaxxxx.
35/99
What is prob of picking 3 l when three letters picked without replacement from loxxollo?
1/56
Calculate prob of picking 2 n and 1 b when three letters picked without replacement from {n: 2, u: 1, b: 1, r: 1}.
1/10
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from uduuuduuuduu.
9/22
Two letters picked without replacement from ajzzgxzzgzzzcazxzx. Give prob of picking 1 j and 1 x.
1/51
What is prob of picking 2 r and 1 w when three letters picked without replacement from {r: 4, w: 7}?
14/55
Two letters picked without replacement from {t: 8, m: 3, d: 1, n: 2, w: 3, r: 1}. What is prob of picking 2 w?
1/51
Four letters picked without replacement from ciccceceeec. Give prob of picking 4 e.
1/330
What is prob of picking 2 p and 1 m when three letters picked without replacement from mpppmppmpmppmmpm?
9/20
Three letters picked without replacement from {x: 2, q: 3, m: 5, o: 5}. What is prob of picking 2 q and 1 x?
6/455
What is prob of picking 1 l and 2 p when three letters picked without replacement from {p: 10, l: 3, r: 2}?
27/91
What is prob of picking 3 s when three letters picked without replacement from {t: 1, k: 1, s: 3, i: 1, u: 1}?
1/35
Four letters picked without replacement from {p: 15, g: 3}. Give prob of picking 2 p and 2 g.
7/68
What is prob of picking 3 u when three letters picked without replacement from {u: 3, p: 8, x: 1, i: 3, q: 3}?
1/816
Calculate prob of picking 1 s, 2 w, and 1 j when four letters picked without replacement from jsshnjjwjjjnjjnwcj.
1/170
Two letters picked without replacement from dfifddiddinidbndndi. What is prob of picking 2 n?
1/57
What is prob of picking 2 e when two letters picked without replacement from {b: 12, e: 3}?
1/35
Two letters picked without replacement from {o: 4, t: 6, x: 1, h: 4, z: 3, j: 2}. Give prob of picking 2 h.
3/95
Calculate prob of picking 1 k, 1 t, and 1 h when three letters picked without replacement from {k: 8, p: 3, r: 1, h: 1, y: 2, t: 1}.
1/70
Calculate prob of picking 3 t when three letters picked without replacement from {i: 4, o: 3, r: 1, v: 1, t: 5, h: 3}.
1/68
Three letters picked without replacement from {r: 1, f: 1, d: 2, w: 2}. What is prob of picking 1 d, 1 r, and 1 w?
1/5
Calculate prob of picking 2 r when two letters picked without replacement from {y: 7, n: 2, r: 3}.
1/22
Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {r: 3, v: 5, q: 2}.
2/15
What is prob of picking 1 q and 1 c when two letters picked without replacement from {c: 6, q: 13}?
26/57
Calculate prob of picking 4 g when four letters picked without replacement from gtgggggggggtg.
6/13
Four letters picked without replacement from otttotttott. What is prob of picking 4 t?
7/33
Two letters picked without replacement from {b: 1, e: 1, g: 2, c: 2, a: 2}. Give prob of picking 1 a and 1 c.
1/7
Two letters picked without replacement from {x: 3, i: 2}. What is prob of picking 2 x?
3/10
Two letters picked without replacement from {y: 3, n: 1, l: 1, d: 7, o: 1}. Give prob of picking 1 l and 1 y.
1/26
What is prob of picking 2 u when two letters picked without replacement from jujjjjjjjjuj?
1/66
Calculate prob of picking 2 a, 1 n, and 1 u when four letters picked without replacement from {t: 1, u: 2, b: 4, e: 2, a: 4, n: 1}.
12/1001
Calculate prob of picking 2 s and 1 v when three letters picked without replacement from vgvvvgvvvgvsggvgvsv.
11/969
Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {i: 1, u: 1, m: 1, d: 2}.
1/10
Calculate prob of picking 1 x, 1 i, and 1 w when three letters picked without replacement from wxiwiixisiiiisxx.
4/35
Four letters picked without replacement from llllllllll. What is prob of picking 4 l?
1
Two letters picked without replacement from rwippmrmcrp. Give prob of picking 1 w and 1 i.
1/55
Calculate prob of picking 3 c and 1 m when four letters picked without replacement from mmmcmmcmmmmmmmccmc.
13/306
What is prob of picking 3 v when three letters picked without replacement from jwjqqwwqvwvqqqvqw?
1/680
Three letters picked without replacement from {d: 13, b: 2, w: 2, v: 2, h: 1}. Give prob of picking 1 w and 2 d.
13/95
Two letters picked without replacement from {w: 1, a: 2, b: 1}. Give prob of picking 1 b and 1 w.
1/6
Three letters picked without replacement from {m: 4, e: 4, u: 1, q: 2, v: 9}. What is prob of picking 1 m, 1 e, and 1 v?
12/95
What is prob of picking 2 s, 1 z, and 1 c when four letters picked without replacement from {s: 2, u: 6, b: 4, c: 1, z: 3, p: 4}?
1/1615
Two letters picked without replacement from {e: 2, l: 1, m: 1}. What is prob of picking 2 e?
1/6
Four letters picked without replacement from mjmjmommmjmmqmmmojm. What is prob of picking 2 o, 1 j, and 1 m?
4/323
Two letters picked without replacement from {v: 5, y: 4, z: 1}. Give prob of picking 1 z and 1 v.
1/9
Calculate prob of picking 1 x and 1 j when two letters picked without replacement from jwubjjwwwujwxew.
4/105
Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {v: 2, t: 4, c: 1, b: 1, r: 2, p: 2}.
1/33
Four letters picked without replacement from ooossosm. What is prob of picking 1 s and 3 o?
6/35
Calculate prob of picking 1 j and 1 x when two letters picked without replacement from xjxjjxjjxqxjjxxxjjqs.
36/95
Calculate prob of picking 1 i, 2 m, and 1 t when four letters picked without replacement from zzizzstzzsmzizzmm.
3/1190
What is prob of picking 3 f and 1 a when four letters picked without replacement from {l: 1, v: 1, t: 1, f: 11, a: 1, j: 4}?
55/1292
Two letters picked without replacement from sdbdobhop. Give prob of picking 1 p and 1 o.
1/18
Calculate prob of picking 3 w and 1 k when four letters picked without replacement from {w: 5, k: 7}.
14/99
What is prob of picking 2 l and 2 y when four letters picked without replacement from {q: 3, t: 1, a: 1, y: 5, l: 3}?
6/143
What is prob of picking 3 j when three letters picked without replacement from ejnnneneeeejjjnjjje?
35/969
Three letters picked without replacement from hhhrhhhhr. Give prob of picking 3 h.
5/12
Calculate prob of picking 1 h and 1 x when two letters picked without replacement from ohxhhoxxoxozojjx.
1/8
Four letters picked without replacement from {z: 3, q: 3, v: 3, j: 3}. Give prob of picking 2 q and 2 z.
1/55
Three letters picked without replacement from mmmmmpmm. What is prob of picking 3 m?
5/8
Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {b: 1, p: 2, f: 2, r: 2, i: 5, o: 1}.
2/39
What is prob of picking 1 y and 1 h when two letters picked without replacement from gohccccyc?
1/36
Two letters picked without replacement from {o: 12, b: 6}. Give prob of picking 2 o.
22/51
Two letters picked without replacement from vmrmvvrmwmwvvvvvvvmw. Give prob of picking 1 w and 1 m.
3/38
Two letters picked without replacement from dtd. Give prob of picking 2 d.
1/3
Three letters picked without replacement from {v: 4, r: 3, c: 2, f: 2, p: 2, g: 2}. Give prob of picking 1 p and 2 g.
2/455
Three letters picked without replacement from exxedededeedxelexx. Give prob of picking 2 d and 1 e.
1/17
What is prob of picking 2 e and 1 h when three letters picked without replacement from {e: 3, h: 2}?
3/5
Two letters picked without replacement from {l: 3, u: 2, p: 4, g: 1, n: 2, d: 3}. What is prob of picking 1 p and 1 g?
4/105
Four letters picked without replacement from {h: 7, c: 4, p: 2, r: 2, n: 2, g: 2}. What is prob of picking 1 r, 1 g, 1 h, and 1 p?
14/969
Two letters picked without replacement from txtkkktkktxkxttkttt. What is prob of picking 2 x?
1/57
Calculate prob of picking 3 j when three letters picked without replacement from {g: 1, n: 6, u: 3, j: 4, s: 4, d: 1}.
4/969
Calculate prob of picking 1 v and 3 p when four letters picked without replacement from {p: 1, v: 1, n: 1, g: 1, x: 4}.
0
Calculate prob of picking 2 l when two letters picked without replacement from {l: 6, o: 1, m: 11}.
5/51
Three letters picked without replacement from {p: 5, t: 2, f: 3}. What is prob of picking 2 t and 1 f?
1/40
What is prob of picking 1 z, 1 q, and 1 w when three letters picked without replacement from zzqqqqoqqzwqu?
21/286
Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 7*n - 22. Calculate f(-10).
8
Let p(s) = s**3 + s**2 - 3*s + 1. Give p(-3).
-8
Let x(l) = -l - 14. Give x(-9).
-5
Let g(n) = n**3 - 18*n**2 - 19*n - 12. What is g(19)?
-12
Let i(o) = -o**3 - 7*o**2 - 8*o + 10. Determine i(-5).
0
Let s(x) = 3*x**3 - 16*x**2 + 3*x + 2. Give s(5).
-8
Let d(m) = -11*m + 1. Calculate d(1).
-10
Let h(d) = d**3 + 9*d**2 + 7*d - 41. Calculate h(-7).
8
Let y(h) = -h**3 + 2*h**2 + 2*h - 2. What is y(3)?
-5
Let a(d) = 5*d**3 - 3*d**2 + 2*d - 3. What is a(2)?
29
Let a(j) = j**2 + 7*j - 15. What is a(-9)?
3
Let a(i) = -3*i**2 - 2*i + 9. Determine a(-4).
-31
Let f(c) = c + 2. Calculate f(-4).
-2
Let a(f) = -9*f - 35. Calculate a(-4).
1
Let f(p) = -2*p**2 - 16*p + 6. What is f(-8)?
6
Let j(r) = -111*r**2 - 3*r + 2. Determine j(1).
-112
Let o(a) = -a**2 + 2*a + 10. What is o(7)?
-25
Let g(c) = -c**3 - 28*c**2 + 28*c - 30. Determine g(-29).
-1
Let f(j) = j**3 + 10*j**2 - 4*j - 18. What is f(-10)?
22
Let h(z) = -z**3 - 10*z**2 + 13*z + 7. Give h(-11).
-15
Let w(v) = -v**3 + 18*v**2 - 32*v - 3. Calculate w(16).
-3
Let m(t) = -t - 6. What is m(7)?
-13
Let b(v) = -v**3 + 13*v**2 + 18*v - 59. Determine b(14).
-3
Let w(a) = -2*a**2 + 19*a - 26. Give w(7).
9
Let b(d) = 23*d - 137. Determine b(6).
1
Let r(h) = h**3 - h**2 + h + 1. Give r(-3).
-38
Let d(w) = -4*w**2 - 3*w + 1. Give d(-3).
-26
Let d(n) = 2*n + 9. Determine d(-8).
-7
Let t(z) = z**2 - 11*z + 14. Determine t(6).
-16
Let f(j) = 7*j**2 - 47*j - 6. Determine f(6).
-36
Let z(n) = -n**3 + 7*n**2 - 9*n + 14. Calculate z(6).
-4
Let m(j) = -j**3 - 10*j**2 - 4*j + 10. What is m(-9)?
-35
Let d(v) = v + 1. What is d(7)?
8
Let g(x) = -5*x - 5. Give g(-2).
5
Let z(r) = -5*r + 41. Give z(5).
16
Let a(m) = 4*m**2 - m - 6. Give a(-2).
12
Let m(a) = a**2 - 15*a + 11. Give m(16).
27
Let l(o) = -o**3 + o**2 + o + 76. Determine l(0).
76
Let u(o) = -3*o - 9. What is u(0)?
-9
Let p(l) = 8*l + 72. Calculate p(-9).
0
Let c(m) = -m**2 + 5*m + 4. Give c(6).
-2
Let l(b) = -4*b + 4. What is l(-1)?
8
Let i(t) = t + 13. Calculate i(-19).
-6
Let d(u) = 5*u - 10. What is d(2)?
0
Let h(i) = 2*i**3 + 115*i**2 + 57*i - 5. Determine h(-57).
-5
Let b(v) = 6*v + 10. What is b(-6)?
-26
Let f(o) = -o**3 - 11*o**2 + 11*o - 4. Determine f(-12).
8
Let y(r) = -98*r - 86. Give y(-1).
12
Let t(s) = -s**2 - 28*s + 57. Give t(-30).
-3
Let u(s) = 7*s + 91. Calculate u(-14).
-7
Let t(x) = x**3 - 5*x**2 - 10*x + 27. What is t(6)?
3
Let z(j) = -2*j**3 - 7*j**2 - 6*j - 7. Calculate z(-3).
2
Let a(x) = x**3 - 1. Determine a(0).
-1
Let y(r) = -r**3 - 6*r**2 + 3*r. Calculate y(-7).
28
Let c(l) = -l**2 + 1. Give c(3).
-8
Let l(w) = 22*w + 45. Determine l(-9).
-153
Let x(o) = o**3 + 10*o**2 - o - 10. Give x(-10).
0
Let j(o) = -o**3 + 10*o**2 + 8*o + 23. What is j(11)?
-10
Let p(q) = 26*q - 155. Give p(6).
1
Let h(o) = -o**3 - 3*o**2 - 3*o - 3. Calculate h(-2).
-1
Let v(m) = -m**3 + 2*m - 2. Determine v(-2).
2
Let i(l) = 4*l**3 + 65*l**2 + 16*l + 6. Give i(-16).
6
Let y(h) = h**2 - 7*h + 6. Calculate y(6).
0
Let u(c) = 4*c**2 - 6*c - 1. Calculate u(2).
3
Let i(k) = -k**2 + k + 1. Give i(-3).
-11
Let v(d) = 10*d**3 - 3*d**2 - 5*d + 6. Calculate v(2).
64
Let l(f) = 19*f - 12. Give l(-4).
-88
Let x(c) = c**3 - 6*c**2 + 7*c - 8. Give x(5).
2
Let h(n) = 2*n**3 - n**2 - 2*n + 2. Calculate h(2).
10
Let w(f) = f**2 - 2*f - 48. Determine w(-6).
0
Let s(b) = -5*b - 2. Calculate s(4).
-22
Let p(k) = -6*k + 17. Give p(3).
-1
Let j(i) = 3*i**2 + 15*i + 28. Determine j(-6).
46
Let i(d) = 20*d**2 + 25*d - 1. Give i(-1).
-6
Let d(a) = a - 5. Determine d(15).
10
Let r(l) = l. Calculate r(-3).
-3
Let s(q) = -3*q - 71. What is s(-31)?
22
Let q(f) = f**3 + 8*f**2 + 14. Determine q(-9).
-67
Let c(f) = -f**2 - 7*f - 7. Give c(-7).
-7
Let y(v) = -v**3 - 7*v**2 - 8*v + 2. Determine y(-5).
-8
Let g(l) = -l**3 - 4*l**2 + l + 4. Calculate g(2).
-18
Let y(z) = -z**2 - 7*z + 2. Determine y(6).
-76
Let d(h) = -7*h**3 - h - 1. What is d(-1)?
7
Let c(b) = b - 3. What is c(-4)?
-7
Let a(p) = -p + 10. Calculate a(-5).
15
Let i(f) = -f**2 - f + 39. What is i(0)?
39
Let h(s) = -4*s**2 + 28*s - 12. Give h(7).
-12
Let g(v) = -49*v + 434. Determine g(9).
-7
Let i(t) = -t**3 - 7*t**2 + 2*t - 17. What is i(-8)?
31
Let o(v) = v**3 - 30*v**2 + 55*v + 24. Give o(28).
-4
Let b(v) = v**3 - 8*v**2 + 8*v - 16. What is b(7)?
-9
Let c(d) = -8*d + 24. Calculate c(4).
-8
Let z(x) = -x**3 - 4*x**2 + 9*x - 8. What is z(2)?
-14
Let c(a) = a**2 - 2*a - 18. Calculate c(6).
6
Let z(o) = -2*o**2 + 101*o - 148. Give z(49).
-1
Let l(u) = u**2 + 6*u - 42. Determine l(4).
-2
Let x(s) = -s**3 + 4*s**2 - 5*s - 3. What is x(4)?
-23
Let i(k) = k**2 - 9*k + 12. What is i(9)?
12
Let c(y) = -138*y - 151. Calculate c(-1).
-13
Let k(u) = u**2 - u - 36. Determine k(6).
-6
Let h(q) = -q**2 + 13*q + 16. Calculate h(16).
-32
Let n(k) = -k**2 + 2*k + 7. Determine n(5).
-8
Let l(s) = s**3 + 15*s**2 - 31*s + 49. Determine l(-17).
-2
Let l(d) = d - 3. What is l(14)?
11
Let n(m) = -5*m - 21. Calculate n(0).
-21
Let x(t) = t**3 - 14*t**2 - t + 16. What is x(14)?
2
Let m(b) = b**2 + 10*b - 23. What is m(-12)?
1
Let u(i) = 7*i**3 + i - 1. Determine u(1).
7
Let x(p) = -2*p - 17. Give x(-9).
1
Let f(p) = -2*p**2 - 15*p - 15. Give f(-8).
-23
Let i(v) = v - 21. Determine i(17).
-4
Let d(y) = 8*y - 78. Calculate d(11).
10
Let o(v) = -v - 16. Determine o(-9).
-7
Let t(d) = -3*d**2 - 29*d - 12. Calculate t(-9).
6
Let x(t) = -t**3 + 4*t - 1. What is x(1)?
2
Let k(s) = -s**3 + 48*s**2 - 95*s + 104. What is k(46)?
-34
Let g(t) = -14*t - 100. Determine g(-8).
12
Let j(f) = -f**3 + 22*f**2 - f + 30. What is j(22)?
8
Let b(j) = -j**2 + 13*j - 5. What is b(9)?
31
Let s(w) = 11*w + 138. Calculate s(-13).
-5
Let l(w) = -w**3 + 3*w**2 + 1. Calculate l(3).
1
Let q(c) = 7*c**3 + c**2. Calculate q(1).
8
Let f(a) = 20*a + 20. Give f(-2).
-20
Let q(b) = b - 25. Give q(6).
-19
Let d(i) = 2*i + 42. Give d(-19).
4
Let o(c) = -18*c - 1729. Determine o(-96).
-1
Let c(b) = 5*b + 87. Determine c(-18).
-3
Let d(u) = 6*u - 3. Calculate d(-2).
-15
Let u(t) = t**2 - 3*t - 1. Calculate u(4).
3
Let a(k) = -k**2 - k. Give a(12).
-156
Let x(z) = -2*z**2 + 7*z + 5. Give x(-4).
-55
Let h(s) = -4*s + 6. What is h(-4)?
22
Let i(l) = -l**3 + 11*l**2 - 8*l. Determine i(10).
20
Let f(m) = -m - 2. Give f(-1).
-1
Let q(o) = o**2 - 7*o + 7. Calculate q(8).
15
Let i(a) = -a + 45. Determine i(-12).
57
Let f(a) = 5*a - 99. Determine f(22).
11
Let n(k) = -k**2 - 8*k - 21. Determine n(-7).
-14
Let r(f) = 3*f**2 - 5*f - 2. Give r(6).
76
Let y(r) = 33*r + 171. Determine y(-5).
6
Let q(h) = h**3 + 11*h**2 - h - 18. Give q(-11).
-7
Let a(d) = 13*d - 32. Determine a(2).
-6
Let y(s) = -6*s - 1. Determine y(1).
-7
Let z(l) = -11*l - 40. Determine z(-3).
-7
Let w(r) = -r - 12. Give w(27).
-39
Let k(q) = -10*q**2 + q. Calculate k(-1).
-11
Let g(b) = b**2 - 50*b - 1395. Determine g(-20).
5
Let n(z) = z**3 - 7*z**2 - 29*z - 20. Determine n(10).
-10
Let x(g) = 15*g - 23. Give x(4).
37
Let l(h) = h**3 - 13*h**2 + 13*h + 8. Calculate l(12).
20
Let h(r) = r**2 - 7*r + 10. What is h(5)?
0
Let z(c) = -c**3 - 9*c**2 - 7*c. What is z(-8)?
-8
Let w(z) = z - 6. Calculate w(1).
-5
Let i(u) = -2*u + 19. Determine i(5).
9
Let p(i) = i - 5. Give p(7).
2
Let h(s) = -2*s + 2. Give h(4).
-6
Let c(w) = 2*w**2 + 10*w + 7. Calculate c(-3).
-5
Let t(f) = -f**2 - 5*f + 13. Give t(6).
-53
Let r(l) = -6*l - 22. What is r(-10)?
38
Let i(r) = 5*r**3 + 5*r**2 + 4*r - 4. What is i(-3)?
-106
Let x(t) = t**3 + 28*t**2 - 60*t - 6. What is x(-30)?
-6
Let h(v) = v**2 - 65*v + 354. What is h(59)?
0
Let b(y) = -y**3 + 12*y**2 + 12*y - 7. Determine b(13).
-20
Let j(b) = -b**2 + 16*b + 7. Determine j(16).
7
Let c(a) = 6*a + 11. Calculate c(2).
23
Let p(v) = v**3 - 20*v**2 - 17*v - 78. What is p(21)?
6
Let s(p) = -p**2 + 33*p - 23. Calculate s(32).
9
Let j(z) = z**3 - 2*z**2 - z + 12. Determine j(0).
12
Let d(j) = -j**3 + 5*j**2 + 11*j + 5. Calculate d(7).
-16
Let k(l) = l**2 - 14*l + 4. Give k(5).
-41
Let g(f) = -9*f**2 + 14*f + 15. Give g(-1).
-8
Let s(n) = -2*n**3 - 18*n**2 + 3*n + 19. Determine s(-9).
-8
Let p(z) = -2*z**3 + 4*z**2 - 3*z + 5. Give p(4).
-71
Let m(l) = -2*l**2 + 12*l + 6. Give m(7).
-8
Let b(m) = m**2 + 20*m + 48. What is b(-3)?
-3
Let s(n) = 5*n**2 - 56*n + 8. Calculate s(11).
-3
L
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - 7*n + 59. Let l(z) = 7*i(z) + 3*u(z). What is the first derivative of l(p) wrt p?
108*p**3
Let t(g) = 2*g - 8. Let a be t(4). What is the third derivative of 2*j**3 + a*j**3 + 3*j**3 + j**2 wrt j?
30
Let x(y) be the first derivative of y**6/6 + 8*y**3/3 + 6. What is the third derivative of x(h) wrt h?
60*h**2
Let f(j) be the first derivative of -j**4/12 + j**2/2 + 3*j - 2. Let y(r) be the first derivative of f(r). Differentiate y(q) with respect to q.
-2*q
Suppose 2*u = 2*r + 8, 5*u - u = 16. Find the second derivative of 2*h**2 + h + r*h**2 + 2*h wrt h.
4
Let w(j) be the second derivative of -j**6/60 - j**3/3 + 3*j**2/2 - 4*j. Let l(r) be the first derivative of w(r). Find the first derivative of l(k) wrt k.
-6*k**2
Let s(t) be the second derivative of 0*t**4 - 3*t + 0*t**3 + 3/2*t**2 + 3/10*t**5 + 0. Differentiate s(k) with respect to k.
18*k**2
Let o(a) be the second derivative of 25*a**4/12 + 5*a**3/6 + a**2 - 17*a. What is the second derivative of o(k) wrt k?
50
Let h(l) be the second derivative of -3*l**5/10 + 7*l**3/6 - 13*l. What is the second derivative of h(o) wrt o?
-36*o
Let j(l) = 2*l**2. Let r be j(-1). Let y be (-2)/(-4) - (-9)/6. What is the third derivative of -q**2 + r*q**2 - q**6 + 0*q**y wrt q?
-120*q**3
Let v(k) be the second derivative of 0*k**2 + 7/12*k**4 + 2*k - k**3 + 0. Find the second derivative of v(i) wrt i.
14
What is the third derivative of 21*h**2 + 6*h**2 - 3*h**4 - h**4 - 4*h**4 wrt h?
-192*h
What is the third derivative of -27*m**4 + m**2 + 0*m**2 + 4*m**2 wrt m?
-648*m
Let d(y) = 6*y**3 + 2*y + 5*y**4 - 7*y**4 - 3*y**3. Let r(o) = -22*o**4 + 34*o**3 + 22*o. Let f(u) = 68*d(u) - 6*r(u). Find the second derivative of f(x) wrt x.
-48*x**2
Let r = -16 + 21. Differentiate -3*x**3 - 1 - 5*x + r*x wrt x.
-9*x**2
Suppose 10 = 3*l + 2*l. Let o be l/2 + (2 - 10). Let y(s) = 10*s + 1. Let u(d) = 7*d + 1. Let z(j) = o*u(j) + 5*y(j). Differentiate z(t) wrt t.
1
Suppose w = -w - 5*r - 25, 3*r = 5*w - 15. Find the first derivative of -1 - d - 1 + w*d - 2*d wrt d.
-3
Let w(o) = o**5 + o**4 + o**3 - o**2. Let u(s) = -29*s**5 + s**4 + s**3 - 54*s**2. Let v(t) = -u(t) + w(t). What is the third derivative of v(k) wrt k?
1800*k**2
What is the second derivative of -22*n**4 + 61*n - 41*n - 3*n**4 wrt n?
-300*n**2
Let j(d) be the second derivative of 1/2*d**3 - 4*d + 0 + d**2. Find the first derivative of j(a) wrt a.
3
What is the third derivative of -5*o**3 - 38*o - o**3 + 24*o**2 + 38*o wrt o?
-36
Let d = -18 + 20. What is the third derivative of 2*f**2 - 3*f**d + 6*f**2 + 6*f**4 wrt f?
144*f
Let w(q) be the first derivative of -q**4/4 + 43*q - 19. Find the first derivative of w(s) wrt s.
-3*s**2
Let b(k) = -1. Let y(m) be the first derivative of -5*m**2/2 - 6*m + 4. Let c(u) = 5*b(u) - y(u). What is the derivative of c(h) wrt h?
5
Find the third derivative of -22*l**2 - 12*l**2 + 27*l**6 - 53*l**6 wrt l.
-3120*l**3
Let m(h) = 2*h**3 - 3*h**2 + 2*h - 3. Let j be m(2). Find the second derivative of -5*w**j + w**5 + 2*w - 2*w**5 + 2*w**5 wrt w.
-80*w**3
Differentiate 40*b**3 - 13 + 4 + 15 wrt b.
120*b**2
Suppose -5 = -2*s - 1. Find the second derivative of r - 42*r**2 + 42*r**s + 0*r - 7*r**4 wrt r.
-84*r**2
Let b(h) be the first derivative of -12*h**7/7 + 2*h**3 - 12. What is the third derivative of b(o) wrt o?
-1440*o**3
Suppose 8 = j - 0*j + i, 4*i = j + 7. What is the derivative of 3*q + 0*q - j*q - 4 wrt q?
-2
Suppose j + j - 4 = 0. What is the third derivative of -2*a**4 + 2*a**4 + 3*a**6 - a**2 - 2*a**j wrt a?
360*a**3
What is the second derivative of -26*d - 349*d**5 + 370*d**5 + 10*d wrt d?
420*d**3
What is the second derivative of -93 + 3*y + 14*y**4 + 18*y**4 + 86 + 2*y**2 - 4*y**4 wrt y?
336*y**2 + 4
Suppose 0 = -0*d + d. Suppose 2*r + 16 = 4*f, 0 = -5*r + f - 6*f + 35. What is the third derivative of -2*w**2 + w**2 - 2*w**4 + d*w**r wrt w?
-48*w
Let c(m) be the first derivative of -19*m**5/5 - 16*m - 28. Differentiate c(a) wrt a.
-76*a**3
Let x(i) be the third derivative of i**8/48 - 8*i**5/15 + 20*i**2. Find the third derivative of x(k) wrt k.
420*k**2
Let j = -7 - -10. Find the third derivative of d**5 + j*d**5 + 6*d**2 - 3*d**2 - 3*d**5 wrt d.
60*d**2
Let w(f) be the first derivative of 11*f**6/6 - 2*f**3/3 - 5. What is the third derivative of w(y) wrt y?
660*y**2
Let y(p) = 5*p + 12. Let r(l) = -19*l - 48. Let t(a) = 2*r(a) + 9*y(a). What is the first derivative of t(o) wrt o?
7
Let i be (-1 + 3)*(-3 + 4). Find the first derivative of -3 + 3*m**2 - m**i + 0*m**2 - m**2 wrt m.
2*m
Let n(j) be the third derivative of j**6/120 - 7*j**5/60 + 8*j**2. What is the third derivative of n(q) wrt q?
6
Let h(d) = -19*d**4 - 7*d**2 + 2*d. Let b(a) = 19*a**4 + 8*a**2 - 3*a. Let g(y) = 2*b(y) + 3*h(y). Find the third derivative of g(x) wrt x.
-456*x
Let a be (1 + 7/(-4))*-4. Let y be 4/2 - (9 + -7). Differentiate -a*s + 3*s**3 - 2 + y*s + 3*s with respect to s.
9*s**2
Let i = -7 - -22/3. Let h(r) be the third derivative of -i*r**3 + 0*r**6 + 0*r**5 + 0*r + 0 + 0*r**4 + 1/210*r**7 - r**2. What is the derivative of h(b) wrt b?
4*b**3
Let f(w) be the first derivative of -9*w**5/5 - 2*w - 10. Differentiate f(m) with respect to m.
-36*m**3
Let g(o) = -4*o**3 - 6*o**2 + 2. Let l(f) = -11*f**3 - 17*f**2 + 7. Let b(y) = -7*g(y) + 2*l(y). Find the third derivative of b(t) wrt t.
36
Let a(q) = q**2 + 7*q - 6. Let t be 217/(-28) + (-2)/8. Let v be a(t). What is the third derivative of -3*h**3 + h**3 - 4*h**v - h**3 wrt h?
-18
Let f(s) = 5*s**3 - s**2 + 1. Let d be f(1). What is the second derivative of 2*x**5 - 2*x**5 + 0*x**d - 11*x**5 - 7*x wrt x?
-220*x**3
Suppose -3*q + 1 = -5. Let s(u) = 4*u**3 + u**2 - u. Let r be s(1). Find the third derivative of 8*t**r + 0*t**2 - q*t**2 + 0*t**2 - 4*t**4 wrt t.
96*t
Let h(t) be the second derivative of 9*t**7/14 - 7*t**3/2 + 11*t. Find the second derivative of h(a) wrt a.
540*a**3
Let b(m) be the third derivative of 0*m**3 + 0*m - 10*m**2 + 0*m**5 - 5/24*m**4 + 0*m**6 + 0*m**7 + 0 - 1/56*m**8. What is the second derivative of b(t) wrt t?
-120*t**3
Let r(o) be the third derivative of -1/20*o**5 + 0*o**3 + 1/6*o**4 + 0 + 0*o - 4*o**2. What is the second derivative of r(y) wrt y?
-6
Let r(j) be the second derivative of 3*j**6/5 + 11*j**3/6 - 23*j. What is the second derivative of r(k) wrt k?
216*k**2
Let k be 12/(-16) - (-6)/8. What is the first derivative of -4*t**3 + k + 6 - 9 wrt t?
-12*t**2
Let c(x) be the second derivative of -3*x**6/10 + 6*x**2 - 14*x. What is the derivative of c(j) wrt j?
-36*j**3
Let w = 54 - 54. Let v(y) be the second derivative of w*y**2 - 1/6*y**3 - 1/4*y**4 + 0 + y. What is the second derivative of v(n) wrt n?
-6
Let p(i) = 5*i**3 + 13*i**2 - 2. Let l(x) = -16*x**3 - 38*x**2 + 7. Let d(s) = 2*l(s) + 7*p(s). What is the third derivative of d(w) wrt w?
18
Let y(m) = 43*m**3 - 5*m**2 + 5*m - 18. Let o(n) = -21*n**3 + 2*n**2 - 2*n + 9. Let j(d) = -5*o(d) - 2*y(d). What is the first derivative of j(f) wrt f?
57*f**2
Let m(f) = 3*f**2. Suppose 5*j + 8 = -3*i, 0 = 5*j - 0*i + 2*i + 7. Let a be m(j). What is the first derivative of 6 - 2*c**3 + c**a - 2*c**3 - 4 wrt c?
-9*c**2
Let v(k) = 3*k + 4. Let y(m) = 12*m + 13 - 1 + 5. Let f(u) = 9*v(u) - 2*y(u). What is the first derivative of f(s) wrt s?
3
Let m(s) be the second derivative of 0*s**5 + s**2 + 0*s**3 + 0 - 1/10*s**6 + 0*s**4 - 3*s. Differentiate m(u) wrt u.
-12*u**3
Let i(g) = -30*g**3 - 8*g**2 + 5. Let t(s) = 10*s**3 + 3*s**2 - 2. Let m(h) = 3*i(h) + 8*t(h). Differentiate m(n) wrt n.
-30*n**2
Let n(j) be the first derivative of 3/4*j**4 - 5 + 1/2*j**2 + 0*j**3 + 0*j. What is the second derivative of n(c) wrt c?
18*c
Let k(f) be the second derivative of -f**7/840 + f**6/180 - f**3/6 + 5*f. Let h(w) be the second derivative of k(w). Find the third derivative of h(l) wrt l.
-6
Let l(r) = r**2 - 5*r + 4. Let k be l(4). Let v(m) be the second derivative of k - 2*m - m**2 - 1/6*m**3. Find the first derivative of v(c) wrt c.
-1
Let d(f) be the first derivative of 1/5*f**5 - 4 + 0*f + f**3 + 0*f**2 + 0*f**4. Find the third derivative of d(n) wrt n.
24*n
Let m = 601/30 + -20. Let c(s) be the third derivative of -3*s**2 + 0*s + m*s**5 + 0*s**4 + 0 + 1/3*s**3. What is the first derivative of c(j) wrt j?
4*j
Suppose 18 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
z = f + -0.09. What is the third biggest value in -4, -1/3, z?
-4
Let m be (-21)/492 + (8/(-288) - 6/27). Which is the third smallest value? (a) -4 (b) -1 (c) 1 (d) m (e) -2/21
d
Suppose 128 = -5*v - 3*s, 2*v + 72 = 2*s + 2*s. Let i be v/(-80) - (-6)/15. What is the biggest value in -1/12, -0.5, i?
i
Let t = -4.9 + 5. Let g = 39796/7 - 5683. What is the second smallest value in g, t, -3?
t
Let y = 21 - 145/7. Let k be (-939)/(-11268) - (25/36)/(-5). What is the third biggest value in k, 1/8, 4, y?
k
Let v = -123 + 173. Let f = v + -30. Suppose -2*m - 4*o - 2 = 8, -4*m - 5*o - 11 = 0. Which is the second biggest value? (a) f (b) m (c) -2
b
Let a be -4*(-2)/8*8. Suppose -2 - a = 4*c - 2*v, -v + 11 = -5*c. What is the third biggest value in -3, c, -0.3?
-3
Let a(c) = c**3 + 18*c**2 - 77*c + 12. Let b be a(-21). Let q be 102/189 + (-34)/b. What is the smallest value in q, 0, -4, 1.03?
-4
Let q = 318/7 + -4127/91. What is the third smallest value in -3, 6, q, 0.4?
0.4
Let n = -1641.726 + 1641.7. Let x = -2.1 - -5.1. What is the second smallest value in n, -1/2, x?
n
Let i = 6266 + -6263. What is the third smallest value in -27, i, 84, 0.4?
i
Let f = -95.42 + 96.19. Which is the second biggest value? (a) f (b) -0.1 (c) 1/2 (d) 0.2
c
Let i be (246/(-41))/(-6 + 8). What is the second biggest value in 0.2, 220/19, -2/9, i, -1/2?
0.2
Let n = 1090 + -1086. Which is the fourth smallest value? (a) 1 (b) n (c) 3 (d) -3
b
Let w = 20592 + -20560.7. Which is the third biggest value? (a) 0.1 (b) -0.3 (c) w
b
Let y = -448.7 - -447.1. What is the second smallest value in y, -3, 1/2, -0.04?
y
Let g be (-8)/6 + (-58)/(-58). Which is the fourth smallest value? (a) -2 (b) 193 (c) -0.4 (d) g (e) 0
e
Let s be 9 - 56/8 - (1 + -4). Suppose 6*q + 8 = 2*q, -j - s = q. What is the third smallest value in j, 9, 0?
9
Let s be (-3 - -224) + -9 + 15. What is the second smallest value in s, 5, -0.2?
5
Let v be ((-12)/(-45))/((-144)/(-120)). What is the biggest value in -1192, v, 2/7?
2/7
Let r = -722 + 741. Suppose 37*i - 21*i = r*i. Let d = -5 - -3. What is the fourth biggest value in 5, 3, i, d?
d
Let r = -27914 + 27942. What is the fifth smallest value in 0.4, r, 0, -0.5, -1.1?
r
Let n be 4 - ((-34)/(-6) - -5) - -7. Which is the fifth smallest value? (a) 0 (b) n (c) -1 (d) 29 (e) -0.4
d
Let b be (352/792*6/(-4))/226. What is the fourth smallest value in b, -3, 1, -3/2?
1
Let s = -0.0105 + 9.5105. Let f = 2.5 - s. Which is the smallest value? (a) -2 (b) f (c) 3 (d) 4
b
Let w be 133/76*(1 - (4 + 78/(-21))). Which is the third biggest value? (a) 1 (b) -5 (c) -0.4 (d) w (e) -3
c
Let g = 269 + -267. What is the smallest value in 4/23, g, 2/3?
4/23
Let x = -3 + 5. Let d = -2 - x. Let q be (-2)/24 + (-1453)/8718. What is the smallest value in q, -0.04, d?
d
Let c = 2584 - 2584.3. Let h(m) = m**2 + 11*m + 3. Let r be h(-11). What is the third biggest value in r, -0.8, c?
-0.8
Let g = 341250 + -1023748/3. Let b = 12 - 7. What is the third biggest value in -1/19, g, 1, b?
g
Let u = 14 + -99/7. Let n = -10.0354 + 5.0354. What is the second biggest value in n, u, -0.1, 5/12?
-0.1
Let d = -610/9 + 68. What is the fourth biggest value in -3.2, -9, -1, d?
-9
Let t = 5 + -17. Suppose 3*p = k - 10, 245*p - 250*p - 20 = 0. Which is the second smallest value? (a) -1/5 (b) t (c) k (d) 1/7
c
Let g = 602 + -597. Let c = 0 - 0.05. Let w = -5.05 - c. What is the second biggest value in 13, w, g?
g
Let p = 34.4 - 34. Let v = -9.2 - -9.3. What is the second smallest value in -24, p, v?
v
Suppose -6*y + 4*y - 4 = 5*n, 8 = 4*n - 4*y. Suppose 0 = 4*s - 4 + 12. Which is the smallest value? (a) 4 (b) s (c) n
b
Let c = -206 + 206.4. Suppose 4*y + 3*t - 8 = -32, 3*t + 3 = 3*y. Let u = -149 + 149.5. What is the second smallest value in y, c, 0.1, u?
0.1
Let j be 15*(-4)/(-25)*5/3. Suppose 4*h - 2*z = -16, 3*h + 26 = -2*h + j*z. Which is the fourth smallest value? (a) h (b) 2 (c) 0.3 (d) -3
b
Let u = 2/221 + -460/1989. Let m = 23/3 + -37/6. Suppose -7*t + 11*t = 20. Which is the third smallest value? (a) m (b) u (c) t
c
Let m = -60.9006 + 58.9006. Let n = -0.5 - -0.3. Which is the smallest value? (a) 0.1 (b) m (c) n (d) -7.8
d
Suppose 17*b + 40 = 19*b. Let s(o) = 5*o - 106. Let h be s(b). What is the second biggest value in h, 0, -3/4?
-3/4
Let o be (-28)/5*6/(-4). Let p = -0.269 + -2.731. Which is the second smallest value? (a) o (b) p (c) 1/4 (d) -4
b
Let m = -12 + 13. Let y be 42/490*(-3 - -10). Let c = 11 + -11. What is the third smallest value in y, m, c?
m
Let n be (3 + 50/(-15))*(-441)/98. Which is the fourth smallest value? (a) -4/7 (b) -11 (c) 3/7 (d) n
d
Let j(r) = -r**2 + 76*r + 656. Let d be j(-8). Which is the second biggest value? (a) d (b) -9 (c) -5
b
Let j = 133/2 - 68. Let h = -0.089 - -0.014. Let w = 0.025 - h. Which is the second smallest value? (a) w (b) j (c) -0.1 (d) 2/9
c
Let f = -13967 - -13521. What is the second biggest value in 0.5, -1, f, 0.3?
0.3
Let n = -4902 + 4902.4. Which is the second smallest value? (a) 2 (b) -6.2 (c) n (d) 4
c
Let k(u) = -u**3 + 2*u**2 + 8*u - 2. Let h be k(4). Which is the second smallest value? (a) h (b) -63 (c) 0.4
a
Let x = 113.2 - 107.2. What is the biggest value in x, 20/3, -13?
20/3
Let l = 15992 + -16032. What is the second biggest value in 1, -0.5, 8/3, l?
1
Let p be ((-8)/((-128)/(-24))*2/15)/1. Let n = -257/5 - -1061/15. Let j = n + -39/2. What is the biggest value in j, p, -2?
j
Let l = 10461 - 10462.0009. Let v = l + 0.0009. What is the second biggest value in v, 1/6, -52?
v
Suppose 4*y - 54 + 70 = 0. Let i = 2368/15 - 158. Which is the smallest value? (a) -2/37 (b) y (c) i (d) -2/17
b
Let u = -4034 - -3819. Which is the third biggest value? (a) u (b) -2/7 (c) -0.5 (d) 3 (e) -0.05
b
Let k(h) = -149*h - 600. Let t be k(-4). What is the third biggest value in 0.1, t, -137?
-137
Let s = -0.092 - -0.135. Let l = s + -0.043. What is the second biggest value in l, -1/5, -0.3, -3?
-1/5
Let h = 0.962 + -5.962. Let z = -37 + 41. What is the second biggest value in h, 1/7, z?
1/7
Let x = -1.8 - 2.2. Let r = 613 + -609. What is the biggest value in 7, r, -3, x?
7
Let t = -791 - -789. Let m = 514 + -8741/17. Which is the second smallest value? (a) -1/5 (b) t (c) m
a
Let g be ((-8)/(-24))/((8/2514)/(-4)). Let a = -7125/17 - g. Let q = 1 - 1. What is the biggest value in -9, q, a?
q
Suppose 663 = t - 4*n, -n = t + 3*t - 2737. Let x = t - 688. Which is the third biggest value? (a) 5 (b) 157 (c) x
c
Let i be (-21130)/12*(-8)/(-30). Suppose 0 = 5*l - 4*x - 2370, 207 = -3*l + 5*x + 1642. Let z = l + i. What is the biggest value in 3, z, -4, 2/3?
3
Let w = 58.5 + 17.5. Let u = 111 - w. Which is the third smallest value? (a) u (b) -3 (c) 0.1
a
Let m = 3044 + -3047. Which is the smallest value? (a) m (b) -1/4 (c) 1/2 (d) -1369
d
Let y = -61 - -102. Let m = -83/2 + y. Which is the biggest value? (a) -4 (b) -0.4 (c) -1 (d) m
b
Let l = -1009 - -950. What is the third smallest value in l, 3, 14?
14
Suppose 3*h - 5 = 2*h. Let m = -76344 - -76343.9. What is the biggest value in h, -2, m, 1?
h
Let a(h) = 4*h**2 - 4*h - 21. Let m(o) = -o**2 + o. Let f(n) = -a(n) - 3*m(n). Let k be f(8). What is the second smallest value in -0.4, -0.5, -1/7, k?
-0.5
Let k = 432 - 330. Let u = -23 + k. Which is the second smallest value? (a) 5 (b) u (c) -1/5 (d) 2
d
Let y(r) = 5*r + 89. Let l(z) = z + 18. Let o(w) = 22*l(w) - 4*y(w). Let d be o(-22). Let s = 4 + -5. Which is the third biggest value? (a) s (b) d (c) 9
b
Let n = 6347 - 6346.9. What is the second smallest value in -2, n, -0.07, 2?
-0.07
Let n = -0.1 - -5.1. Let u = -16.12 - 149.68. Let w = u - -166. Which is the second biggest value? (a) w (b) n (c) 1/6
a
Let j = -0.231 + 0.311. Which is the smallest value? (a) 0.4 (b) j (c) -3/23
c
Suppose 6 - 4 = -m, -2*t = -5*m - 16. Let k = -0.18 - 4.82. What is the biggest value in 9, 1, t, k?
9
Suppose 0 = 2*x, -4*r - 196 = x - 188. Which is the smallest value? (a) r (b) -5 (c) 0.036 (d) 3
b
Suppose -16*p + 4850 - 192 + 12382 = 0. What is the third biggest value in p, 0.4, -5?
-5
Let w = -233.103 - -233. Let n = w + -2.897. What is the smallest value in n, -0.01, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
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5867013
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5386454
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431060422
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531422
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419296601
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286651
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65474
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15799
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449179
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2808559
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22402
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180072
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5152
What is the next term in -10098, -20944, -32514, -44802, -57802, -71508, -85914, -101014?
-116802
What comes next: -2897074, -5794147, -8691220, -11588293?
-14485366
What comes next: 14683, 14998, 15329, 15688, 16087, 16538, 17053?
17644
What is next in -1152824018, -1152824019, -1152824020, -1152824021, -1152824022, -1152824023?
-1152824024
What comes next: -189332, -190220, -191110, -192002?
-192896
What comes next: 7269, 14880, 22711, 30756, 39009, 47464, 56115, 64956?
73981
What is the next term in 10883737, 10883743, 10883751, 10883761, 10883773, 10883787, 10883803?
10883821
What comes next: -98964903, -98964913, -98964923?
-98964933
What comes next: 11448, 92014, 310734, 736686, 1438948, 2486598, 3948714, 5894374?
8392656
What is next in -2040, -3688, -5338, -6990, -8644?
-10300
What is the next term in 227, 678, 1573, 3044, 5223, 8242, 12233?
17328
What comes next: -63596, -63586, -63570, -63548, -63520, -63486, -63446?
-63400
What comes next: -176339, -705482, -1587387, -2822054?
-4409483
What is the next term in -56634267, -56634248, -56634229, -56634210?
-56634191
What is next in 5657, 11290, 16913, 22532, 28153, 33782, 39425?
45088
What comes next: -3126, -13940, -31982, -57258, -89774, -129536?
-176550
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-1112782
What comes next: -5238, -5831, -6424, -7017, -7610, -8203?
-8796
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-1561271
What comes next: 10792415, 10792408, 10792401?
10792394
What is the next term in -23970, -23479, -22988, -22497?
-22006
What is next in 88174, 88980, 90322, 92200?
94614
What is the next term in -2181, -8725, -19633, -34911, -54565?
-78601
What is next in -3826, -34408, -117422, -279082, -545602, -943196?
-1498078
What comes next: -101, -512, -1023, -1634, -2345, -3156?
-4067
What is the next term in -12995536, -25991072, -
|
{
"pile_set_name": "DM Mathematics"
}
|
v(1). Suppose -y*s - 5*a = -15, a + 22 = 7*s - 3*s. Let b = s - -17. Does 11 divide b?
True
Let c be ((-2)/(-4))/((-5)/(-260)). Let i = 50 - c. Is i a multiple of 12?
True
Let b be (-4)/6 - (-4)/6. Let s(f) = -f**3 - 8 - 4*f**2 + f + 44 + 3*f**2. Does 12 divide s(b)?
True
Suppose -5*c - 4*i = -243, -5*c + 0*i - 2*i = -239. Does 15 divide c?
False
Is 2*11 - (4 + -6) a multiple of 24?
True
Let v(m) = m**3 - 8*m**2 - 8*m - 4. Let k be 3*3 - (3 + -3). Is v(k) a multiple of 2?
False
Let w(l) be the third derivative of -l**4/24 + 5*l**3/6 + 6*l**2. Is 14 a factor of w(-9)?
True
Let u(s) = -s**2 + 7*s + 9. Let n(b) = -2*b**2 + 13*b + 17. Let d(z) = -4*n(z) + 7*u(z). Is 21 a factor of d(-6)?
False
Let m(k) = k**3 - 2*k**2 - k - 1. Let c be m(2). Let u be 1 + c - (0 + 1). Let i(z) = -z**3 - z**2 + 3*z - 4. Is 2 a factor of i(u)?
False
Let f = 2 - 2. Suppose -d + v + 1 = -2*d, 4*d - 4*v - 28 = f. Is 3 a factor of d?
True
Suppose -4*k = -4*x - 20, -5*k - 3*x - 2*x + 15 = 0. Suppose k*v = -5*i - 0*v - 157, 0 = i + 5*v + 23. Let z = -11 - i. Is 11 a factor of z?
True
Suppose j + 13 = 5*l, -5*l = 5*j - 17 - 8. Suppose 5*t + 6 = 7*t. Suppose 3*x - 12 = 0, 24 = v + l*v - t*x. Does 4 divide v?
False
Suppose 0 = -j + 2*j + 7. Let z = -15 - j. Let b = 18 + z. Is 8 a factor of b?
False
Let r = 15 - -7. Let o = 13 + 1. Let u = r - o. Does 8 divide u?
True
Let y(l) = -l + 43. Does 18 divide y(7)?
True
Let d = 198 - 107. Let g = d + -61. Suppose w = g + 1. Is w a multiple of 12?
False
Let b = 1 - 7. Let l(g) = -5*g**3 + 13*g**2 + 12*g - 6. Let k(p) = -6*p**3 + 14*p**2 + 13*p - 6. Let o(s) = 6*k(s) - 7*l(s). Does 6 divide o(b)?
True
Suppose v + 3*d = 7, 4*v + 13 = 6*v + 5*d. Let u(j) = 0*j + 4 + 3*j + j**2 - 2*j**2 + 3*j. Is 4 a factor of u(v)?
True
Let f(r) = 2*r + 36. Is 12 a factor of f(0)?
True
Let r = 7 - 1. Suppose -4*d - c = 1, r*d + 3*c + 12 = 3*d. Let q = 9 - d. Is 7 a factor of q?
False
Suppose -5*o + 5 = y + 2, 2*o = 5*y - 42. Let q be ((-6)/y)/((-5)/(-240)). Is 8 a factor of (-4)/(-18) - 568/q?
True
Let c(q) = q**3 - 5*q**2 + 6*q - 17. Is c(7) a multiple of 13?
False
Let c(b) = -11*b**3 - 2*b**2 + 1. Let d be (4 - 2)/((-6)/(-3)). Suppose a - 2*a = d. Is 10 a factor of c(a)?
True
Let w be 2/8 - (-62)/8. Suppose -22 - w = 5*x. Is 4 a factor of (-44)/x - 3/9?
False
Let x(p) = p**2 + 14*p - 9. Let n be x(-14). Let c(s) = -2*s + 4. Is 22 a factor of c(n)?
True
Suppose -7 - 36 = -i. Suppose 0 = -3*p - 0*r + r + i, r - 69 = -4*p. Does 10 divide p?
False
Let n(w) = w**3 - 2*w**2 + w - 4. Is n(3) a multiple of 5?
False
Let s(m) = -m**3 - 3*m**2 - m. Let q be s(-3). Let y be (-2)/q - 2/(-3). Does 3 divide y - 3/((-6)/14)?
False
Let v = 39 - 28. Is 14 a factor of (v/(-4))/((-2)/40)?
False
Suppose n - 2*u + 0*u = 0, -4*n = 2*u. Suppose n = s + 5, -4*r + 7*r + 5*s - 38 = 0. Does 8 divide r?
False
Let c = 1 + 7. Let p = 2 + -2. Suppose -t = -p*t - c. Is t a multiple of 3?
False
Suppose 5*t + 47 = -118. Let r = t + 69. Is r a multiple of 17?
False
Let w be -3*2/3 + 2. Suppose 2*o - 63 - 29 = w. Is o a multiple of 23?
True
Suppose -3*u + u = -4*b + 8, 0 = 5*b + 10. Suppose 5*f - 130 = -0*f. Let q = f - u. Does 17 divide q?
True
Let q(x) = x**2 + x - 7. Let t be q(-4). Suppose -8 = -d + t. Is 6 a factor of d?
False
Let p = 11 - 8. Let r be (-1 + p/(-1))/1. Is 6 a factor of r/(-18) + (-372)/(-27)?
False
Suppose 5*w + 5 = -4*p, 0*p + 50 = 5*p - 5*w. Suppose -z + 3*c - 11 = 0, z - 2*z + 14 = 2*c. Suppose p*u - 90 = z*k, u - 2*u - 4*k + 18 = 0. Does 9 divide u?
True
Let k be (-3)/((-6)/4) + 76. Suppose 3*n + 3*x = 57, -2*x - 4 = 4*n - k. Does 6 divide n/(-8)*(-5 + -3)?
True
Let t(r) = -10*r**2 + 2*r + 2. Let j be t(-3). Does 16 divide (-1)/(-3) + j/(-6)?
True
Suppose -3*f + 18 = 3*o, -11 - 1 = -3*o - f. Let s = 5 + o. Is (-18)/4*s/(-12) a multiple of 3?
True
Let w be 2*-1*3/2. Is 10 a factor of (-48)/(w*1) + 2?
False
Suppose -o = 3*o - 144. Let w = 74 - o. Is w a multiple of 13?
False
Let a(o) = 10*o - 4 - 3*o**3 - 2 - 4*o**3 + 8*o**2 + 6*o**3. Let l be a(9). Suppose l*c = 0, -i - 5*c + 22 = -0*i. Is i a multiple of 11?
True
Suppose -13 = -u - 6. Suppose 0 = -y + 2*l + 58, -u*l = -2*l - 5. Does 27 divide y?
False
Let c = 14 - 16. Let g(o) = -32*o - 1. Is 21 a factor of g(c)?
True
Suppose -19 - 9 = -4*u. Suppose u + 14 = 3*y. Is 7 a factor of y?
True
Let t be (1 + 2/(-2))/2. Suppose 0 = -t*n - n + 17. Is 11 a factor of n?
False
Suppose -4*h + 4 = x, 3*x = 7*x - 4*h - 96. Is 4 a factor of x?
True
Suppose 15*w - 546 = 399. Is w a multiple of 9?
True
Let y(w) = w**3 + 8*w**2 + 4. Suppose 24 = -5*q + 2*q. Let r be y(q). Suppose -r*f - 2*d + 42 = 0, -f = 2*f - 4*d - 59. Is 8 a factor of f?
False
Suppose 4*d = -5*m + 2*d + 59, 2*d + 18 = 2*m. Is m a multiple of 11?
True
Let p(f) = f**2 - 2*f - 24. Is 8 a factor of p(-6)?
True
Let f = 0 + -10. Let g = f - -31. Is g a multiple of 4?
False
Suppose -h = -5*h + 28. Let d = 31 + -2. Let l = d - h. Is 11 a factor of l?
True
Suppose 0 = -6*l + 8*l - 112. Is 8 a factor of l?
True
Let x(g) = g**2 - g - 2. Suppose -5*z = 3*k + 14, 3*k - 4*z + 8 = -k. Let l be x(k). Let h = -5 + l. Is h a multiple of 2?
False
Let t be 33*(2 + 0 + -1). Is 9 a factor of t/1 + 1/(-1)?
False
Suppose 4*y - 126 = -2*t, 3 = 3*y - t - 79. Is 13 a factor of y?
False
Let y(u) = 4*u - 2. Let c = 1 - -6. Does 13 divide y(c)?
True
Let a(j) = -j**2 - 5*j + 1. Let v be a(-5). Does 24 divide (v + 2)*335/15?
False
Suppose -v = 2*r + 16, 0 = 3*r + 4*v + v + 17. Let n = -33 + 46. Let i = n + r. Is i a multiple of 2?
True
Suppose 188 = 4*u + 4. Is u a multiple of 9?
False
Is 50 a factor of -375*(-5 - 23/(-5))?
True
Let d(p) = p**2 + p + 5. Let t be d(0). Suppose 0*l + t*b = 2*l - 29, -3*l = -5*b - 51. Let v = 54 - l. Is 16 a factor of v?
True
Suppose -x + q + 10 = 0, -2*x + 8 = -3*q - 9. Does 6 divide x?
False
Suppose -145 = -0*a - 5*a. Suppose 0 = -2*p + 3 + a. Is p a multiple of 16?
True
Does 4 divide (-18)/4*(-8)/6?
False
Let v(k) = -k**2 + 3*k + 4. Let n be v(4). Suppose n = r - 2*r + 2. Suppose 5*u = r*p - 0*u + 10, 2*u = 8. Is 5 a factor of p?
True
Suppose 5*v = 20, 0*v - v - 167 = -3*o. Does 25 divide o?
False
Is (-1203)/(-24) - (-4)/(-32) a multiple of 23?
False
Suppose 8*w - 5*w = 9, 3*u = -5*w + 27. Suppose 2*o - 4*o = 2*r, 2*r = 0. Suppose -5*g - 3*q + 45 = 0, u*g + g + 4*q - 50 = o. Does 6 divide g?
True
Let o = 4 + 16. Is 14 a factor of o?
False
Suppose -2*b + 3*b - 84 = 0. Does 14 divide b?
True
Let u = 1 + 4. Let p be (-2)/4*-4 + u. Suppose -j = 2*z - p, 0 = -z - 0*z + 5*j + 20. Is 5 a factor of z?
True
Suppose 6 = 5*z + 1. Let q(v) = 16*v - 4 - 3 + 5 + 3. Is q(z) a multiple of 12?
False
Let j = 47 - 25. Does 9 divide j?
False
Suppose -5*z = -2*g - 104, 0 = -z - g + 5*g + 28. Is z a multiple of 4?
True
Suppose 5*k - 820 = -4*z, -4*z = 3*k - 2*k - 180. Suppose k = 3*v - 26. Let s = -44 + v. Is s a multiple of 9?
True
Suppose -g - 5 = 0, 0*g = 5*l + 2*g - 95. Suppose u = -2*u + l. Is u a multiple of 5?
False
Let t(j) = -j**3 - 8*j**2 - 9*j - 9. Let s be t(-7). Let f be 2/3 + 4/(-6). Suppose g + 2*d = 10, -s*g + f*d - 3*d = -64. Is 14 a factor of g?
True
Let n = 298 + -101. Let i = n - 107. Suppose -j - i = -4*j. Does 19 divide j?
False
Let u(w) = 118*w**3 - 4*w**2 + 4*w - 1. Is u(1) a multiple of 13?
True
Suppose -5*m - 4*h = -161, 3*h - 43 = -m - 2. Is 7 a factor of m?
False
Let c = -3 + 7. Suppose a = -3*w + c*a + 153, 4*a = -w + 76. Is 28 a factor of w?
True
Let q be (-2)/(-8) - (-7)/4. Suppose -5*f - 5*u = -285, -q*f + 3*u + 0*u = -114. Let v = -35 + f. Is v a multiple of 9?
False
Let m(f) = 3*f**3 - f + 6. Let l(r) = -10*r**3 + r**2 + 3*r - 19. Let v(b) = -2*l(b) - 7*m(b). Let q be (-7)/1 + 2 + 2. Is v(q) even?
True
Suppose 120 = 5*n + 8*v - 3*v, -2*n - 4*v = -48. Does 9 divide n?
False
Let l(t) = t**3 + 2*t**2 - t + 3. Let q be l(-3). Is 2 a factor of (-2)/q - 66/(-9)?
True
Suppose 42 = 3*t - 7*c + 2*c, 2*t - 44 = -2*c. Is 2 a factor of t?
False
Let p = 467 - 258. Is 16 a factor of p?
False
Let p(i) = i**3 + 8*i**2 + 6*i + 6. Suppose -9 = -5*s + 1. Let b be s*(-2 - 9/6). Is p(b) a multiple of 7?
False
Let i(o) = -12*o - 14. Does 29 divide i(-7)?
False
Suppose -2*o - 12 = -4*o. Let g be o/(-15) - 184/(-10). Suppose -4*v = 2*i - g, -4*i = -3*i + 5*v. Does 8
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -5 = -6*u + 5*u - c, -15 = -u - 3*c. Let d(t) be the second derivative of -2*t**2 + 4*t + 5/6*t**4 - 7/3*t**3 + u + 2/5*t**5. Factor d(n).
2*(n - 1)*(n + 2)*(4*n + 1)
Let j(y) be the third derivative of -5/2*y**4 + 2*y - 1/24*y**6 + 0 - 1/2*y**5 - 20/3*y**3 + 3*y**2. Factor j(t).
-5*(t + 2)**3
Let h(x) be the first derivative of x**9/1512 + x**8/210 + x**7/140 - x**6/45 - x**5/15 + 3*x**3 - 20. Let i(s) be the third derivative of h(s). Factor i(j).
2*j*(j - 1)*(j + 1)*(j + 2)**2
Let a(v) = 6*v - 6. Let c be a(-9). Let w be (-12)/c + (-9)/(-5). Solve -9*b**3 + 28*b**2 - b**5 - 2*b - 35*b**2 - 7*b**4 + w*b**4 = 0.
-2, -1, 0
Let u(k) be the first derivative of 0*k + 3*k**4 + 2/3*k**6 + 0*k**2 - 12/5*k**5 - 4/3*k**3 - 18. Factor u(f).
4*f**2*(f - 1)**3
Suppose 30*o - 58 = 62. Let z be -4*((-21)/10 - -2). Factor 0 + 2/5*x**2 + 0*x + 2/5*x**3 - 2/5*x**5 - z*x**o.
-2*x**2*(x - 1)*(x + 1)**2/5
Let y = -326/19 - -1687/95. Factor 0 + 9/5*q**2 + y*q.
3*q*(3*q + 1)/5
Let f(m) be the first derivative of -3/2*m**2 - 2/21*m**3 + 5/84*m**4 + 0*m + 6 + 1/30*m**5. Let n(o) be the second derivative of f(o). Factor n(r).
2*(r + 1)*(7*r - 2)/7
Let q be (0 + 3/(-7))/(9/(-2169)). Let g = q + -103. Suppose 1/7 + 1/7*m**2 + g*m = 0. Calculate m.
-1
Let u(n) be the third derivative of n**6/240 + 7*n**5/40 - 15*n**4/16 + 23*n**3/12 + 553*n**2. Factor u(t).
(t - 1)**2*(t + 23)/2
Suppose 16*k - 22 = 10. Let u(r) be the second derivative of 1/240*r**6 + 0*r**k + 0*r**3 + 0 + 4*r + 0*r**4 - 3/160*r**5. Factor u(m).
m**3*(m - 3)/8
Let h be (-10)/85 + 5 + 179178/(-36720). Let l(y) be the third derivative of 1/12*y**3 + h*y**5 + 3*y**2 + 1/36*y**4 + 0 + 0*y. Determine f so that l(f) = 0.
-3, -1
Let u(r) be the third derivative of -5*r**8/112 - 27*r**7/70 - r**6/4 - 168*r**2 - 2. Factor u(v).
-3*v**3*(v + 5)*(5*v + 2)
Let b(a) be the first derivative of 7 - 3/11*a - 4/11*a**3 - 3/22*a**4 - 1/55*a**5 - 5/11*a**2. Determine w so that b(w) = 0.
-3, -1
Let o(v) be the second derivative of -1/150*v**6 - 11/30*v**3 - 1/100*v**5 + 3/20*v**4 + 0 + 3*v + 2/5*v**2. Factor o(y).
-(y - 1)**3*(y + 4)/5
Let h(v) = -4*v**2 - 32*v + 4. Let y be h(-8). Let w(r) be the first derivative of -2*r + 0*r**3 + 2/5*r**5 + r**y - 3 - 2*r**2. Solve w(a) = 0 for a.
-1, 1
Let c(g) be the third derivative of 0 + 0*g**4 + 0*g - 7*g**2 + 1/70*g**7 + 0*g**3 - 1/20*g**5 + 0*g**6. Factor c(o).
3*o**2*(o - 1)*(o + 1)
Let m(o) be the first derivative of o**3/3 - 9*o**2 + 65*o - 221. Factor m(z).
(z - 13)*(z - 5)
Let i be (5 - 1056/225)*-21. Let o = 2371/275 + i. Factor 2/11*k**3 - 16/11 - 12/11*k**2 + o*k.
2*(k - 2)**3/11
Let p(i) be the third derivative of -i**8/112 - i**7/6 - 5*i**6/4 - 9*i**5/2 - 45*i**4/8 + 27*i**3/2 + 33*i**2. What is c in p(c) = 0?
-3, 1/3
Let a(r) = -r**2 - 2*r. Let t be a(0). Let p(x) = x + 7. Let f be p(-5). Determine o, given that -14/9*o**4 + 2/3*o**5 + 2/3*o**f + t + 2/3*o**3 - 4/9*o = 0.
-2/3, 0, 1
Let n(l) = 3*l**2 + 417*l + 5837. Let o(y) = -4*y**2 - 624*y - 8756. Let w(d) = 8*n(d) + 5*o(d). Factor w(u).
4*(u + 27)**2
Determine x so that -33/4*x - 1/4*x**2 - 8 = 0.
-32, -1
Let c = -2 + 3. Let s(j) = -j**5 - 17*j**4 + 13*j**3 + 5. Let m(u) = -u**5 - u**4 + u**3 + 1. Let p(w) = c*s(w) - 5*m(w). What is g in p(g) = 0?
0, 1, 2
Let t(y) be the third derivative of y**8/84 - 10*y**7/21 + 53*y**6/15 - 116*y**5/15 - 44*y**4/3 + 320*y**3/3 - 38*y**2 + 2. Factor t(h).
4*(h - 20)*(h - 2)**3*(h + 1)
Let r(t) = 4*t**2 + 10*t + 2. Let x be r(-4). Suppose -38*n = -x*n. Find v such that n*v**2 - 1/8*v**4 + 1/8*v**3 + 0*v + 0 = 0.
0, 1
Let j(a) be the first derivative of a**4/26 - 22*a**3/39 + 35*a**2/13 - 50*a/13 + 134. Factor j(h).
2*(h - 5)**2*(h - 1)/13
Let k(b) be the third derivative of -b**7/42 + b**6/6 - 5*b**5/12 + 5*b**4/12 - 25*b**2. Factor k(t).
-5*t*(t - 2)*(t - 1)**2
Let g be 2*2/(8/6). Let b = 4 + 0. What is o in 0*o - 2 - 4*o + 2*o**g + o**4 + 2*o**3 + o**b = 0?
-1, 1
Let u(r) be the third derivative of r**7/105 + 7*r**6/30 - 31*r**5/30 + 4*r**4/3 - 329*r**2. Factor u(n).
2*n*(n - 1)**2*(n + 16)
Let x be -4*-4*(-8)/(-64)*2. Let i(j) be the second derivative of -1/45*j**5 + 1/18*j**x + 1/18*j**2 - 2/27*j**3 + 1/270*j**6 + 12*j + 0. Factor i(n).
(n - 1)**4/9
Let j(q) be the first derivative of -3*q + 0*q**2 + 1/6*q**4 + 6 - 2/3*q**3. Let k(s) be the first derivative of j(s). Factor k(d).
2*d*(d - 2)
Let v = -41/2 - -85/4. Let l(a) be the first derivative of -7/2*a**2 + 2*a + v*a**4 + 2/3*a**3 + 6. Factor l(q).
(q - 1)*(q + 2)*(3*q - 1)
Let p(c) = -14*c**2 - 50*c + 28. Let f(x) = -2*x**2 - 3*x - 1. Let n(y) = -4*f(y) + 2*p(y). What is a in n(a) = 0?
-5, 3/5
Let d(b) be the second derivative of 5*b**4/12 - 10*b**3/3 + 11*b. Let d(r) = 0. What is r?
0, 4
Suppose 0 = 51*f - 112 - 92. Let c(p) be the second derivative of 10*p + 17/4*p**3 + 0 - 7/4*p**f + 9/40*p**5 - 9/2*p**2. Factor c(j).
3*(j - 3)*(j - 1)*(3*j - 2)/2
Let l = 35 + -33. Factor -3*p**4 - 3*p**2 + 6*p**l - 6*p + 3*p**2 + 3*p**2.
-3*p*(p - 1)**2*(p + 2)
Solve -k**4 - 29/2*k**2 + 21/2*k + 15/2*k**3 - 5/2 = 0.
1/2, 1, 5
Suppose 7*m - 8437 = 8055. Solve -g**2 + g**3 + 2356 + g**4 - g - m = 0.
-1, 0, 1
Let q(u) be the first derivative of u**3/24 + u**2/16 - u/4 + 196. Factor q(f).
(f - 1)*(f + 2)/8
Let a(q) be the first derivative of -q**4/34 - 32*q**3/17 - 768*q**2/17 - 8192*q/17 - 26. Factor a(d).
-2*(d + 16)**3/17
Solve 0 + 1760/7*r**2 + 1600/7*r + 4/7*r**4 + 164/7*r**3 = 0 for r.
-20, -1, 0
Let o(g) be the third derivative of 2809*g**5/20 + 159*g**4/4 + 9*g**3/2 + 2*g**2 - 321*g. Find a such that o(a) = 0.
-3/53
Suppose -7 + 1 = -3*t. Let i = 50 + -48. Factor -t*c**i - 4/3*c + 2/3.
-2*(c + 1)*(3*c - 1)/3
Let g(p) be the second derivative of -8*p**6/15 + 4*p**5/5 + 5*p**4/8 + p**3/6 + 15*p**2 + 16*p. Let c(d) be the first derivative of g(d). Factor c(w).
-(w - 1)*(8*w + 1)**2
Let l(i) = -i**2 - 40*i - 6. Let d(c) = -41*c - 5. Let f(p) = 3*d(p) - 4*l(p). Factor f(q).
(q + 9)*(4*q + 1)
Let u(l) be the third derivative of -l**8/1512 - l**7/945 + 2*l**6/135 + 2*l**5/45 - 22*l**2. Find n such that u(n) = 0.
-2, 0, 3
Let t = -1773/14 - -1779/14. Solve 0 + 24/7*q - t*q**2 = 0.
0, 8
Let k(y) = y**3 - 3*y**2 - 5*y + 6. Let z be k(4). Suppose 9*f - 2*f - 14 = 0. Determine c, given that -7*c + 2*c + 0*c**f + c + 6 - 2*c**z = 0.
-3, 1
Let i(q) be the first derivative of 3/2*q**2 + 3/8*q**4 + 0*q - 16 - 3/2*q**3. Factor i(n).
3*n*(n - 2)*(n - 1)/2
Let o(u) be the second derivative of 49*u**7/12 - 637*u**6/60 + 189*u**5/20 - 23*u**4/6 + 2*u**3/3 + 2*u + 5. Find w such that o(w) = 0.
0, 2/7, 1
Let a = -81 - -83. Determine o, given that 0*o**2 + 262*o + 45 - 292*o + 3*o**2 + 2*o**a = 0.
3
Determine s so that 6/5*s**4 - 96/5 + 0*s**2 - 24/5*s**3 + 96/5*s = 0.
-2, 2
Let c(w) be the first derivative of 14*w**3/3 + 7*w**2 - 1. Suppose -5*j = -j - 44. Let u(b) = -5*b**2 - 5*b. Let v(a) = j*u(a) + 4*c(a). Solve v(m) = 0 for m.
-1, 0
Let y(b) = -4*b**5 + 7*b**3 - 9*b**2 - 3*b - 3. Let v(i) = 7*i**5 - 14*i**3 + 17*i**2 + 5*i + 5. Let s(r) = 3*v(r) + 5*y(r). Let s(k) = 0. Calculate k.
-3, 0, 1, 2
Suppose 10 = -729*j + 731*j. Let r(p) be the second derivative of 0*p**4 - 13*p + 1/4*p**j + 0*p**2 + 0*p**3 + 0. Factor r(q).
5*q**3
Let g be 214/8 + -5*27/(-45). Let y = g + -29. Factor 0 - 3/4*h + y*h**2.
3*h*(h - 1)/4
Suppose 5*i - 16 = i + t, 3*t = 4*i - 8. Suppose -3*p = 2*r + 6, 0 = -i*r - 4*p + 4 - 5. Factor 3 + 3*s**3 - 3 - 2*s**r.
s**3
Let j(i) be the second derivative of -i**4/12 + 8*i**2 - i - 5. Factor j(b).
-(b - 4)*(b + 4)
Let i(g) be the second derivative of g**7/14 + 7*g**6/10 + 9*g**5/20 - 23*g**4/4 - 16*g**3 - 18*g**2 + 72*g. Suppose i(d) = 0. Calculate d.
-6, -1, 2
Let v(k) be the second derivative of -k**5/4 - 25*k**4/4 - 125*k**3/2 - 625*k**2/2 - 480*k. Factor v(x).
-5*(x + 5)**3
Factor -6*v**2 + 3/2*v + 6*v**3 + 0.
3*v*(2*v - 1)**2/2
Let v(a) = -76*a - 527. Let z be v(-7). Let n(w) be the first derivative of -z + 2/5*w**5 + 4/3*w**3 + 1/18*w**6 + 2/3*w**2 + 13/12*w**4 + 0*w. Solve n(k) = 0.
-2, -1, 0
Let f(r) be the first derivative of -r**3/3 + 9*r**2 - 4. Factor f(d).
-d*(d - 18)
Let g(s) = 21*s**3 + 151*s**2 + 481*s + 576. Let q(r) = r**4 - r**3 - 3*r**2 - r. Let y(d) = 5*g(d) + 5*q(d). Let y(u) = 0. What is u?
-6, -4
Let s(l)
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -h = -o*n + 568. Calculate the remainder when n is divided by 35.
30
Let s be (-6)/21 - (0 - 326/14). Suppose 0 = -s*z + 24*z. What is the remainder when 7 is divided by z - (-3)/(-9)*-3?
0
Let y = -526 - -530. Suppose 2*k = -3*h + y*k + 24, -k - 15 = -2*h. What is the remainder when 42 is divided by h?
0
Let z(j) = j**2 - 46*j - 1553. What is the remainder when z(-23) is divided by 13?
8
Suppose -12460 = 12*p - 13108. What is the remainder when 965 is divided by p?
47
Let f(q) = -q**3 - 6*q**2 + 889*q - 64. What is the remainder when 1955 is divided by f(-33)?
1
Let f(t) = 12*t - 524. Calculate the remainder when f(53) is divided by 76.
36
Let c(g) = 3*g - 3. Suppose 85*p + 388 = 81*p. Let j = -91 - p. Calculate the remainder when c(6) is divided by j.
3
Let t be -112*(6 - 102/12). Let h = -248 + t. What is the remainder when 191 is divided by h?
31
Let w = 2175 + -1780. What is the remainder when w is divided by 44?
43
Suppose -h - 8 - 20 = m, -h = -4*m - 112. What is the remainder when 38 + m/(-7) - -5 is divided by 12?
11
Let p be 760/50 - (1 - (-9)/(-5)). Let k(u) = -u**3 + 13*u**2 + 51*u - 39. Calculate the remainder when 42 is divided by k(p).
6
Suppose 0 = -3*s, 4*d - 4*s - 228 = 5*d - 5*d. Calculate the remainder when 621 is divided by d.
51
Let f(j) = -2*j + 11. Let t = -24 + 18. Let u be f(t). Suppose -2*y - 8 = -2*c, 5*y - u = c - 7. Calculate the remainder when 14 is divided by c.
5
Suppose 5 = r - 4*m - 6, -61 = -2*r - 5*m. Let a be ((-610)/5)/(2/5). What is the remainder when a/(-7) - (-12)/(-21) is divided by r?
20
Let z = 13768 - 11329. Calculate the remainder when z is divided by 98.
87
Let h = -152 - -106. Let c = h - -48. What is the remainder when (-37)/(c/(-4)*1) is divided by 26?
22
Suppose 5*v + 5*m = 0, 0 = -v - 6*m + 9*m - 8. What is the remainder when (v - -23)*(-504)/(-108) is divided by 26?
20
Calculate the remainder when 1542 is divided by 312 + (-14)/(-4) + 1545/(-206).
2
Let s(f) = -379*f - 362. What is the remainder when 20517 is divided by s(-1)?
15
Let z = -72 + 105. Suppose 8*k - 9 = -z. Calculate the remainder when 36 is divided by (-2 + (-18)/k)*(9 - 4).
16
Let y(o) = 3*o**3 + o**2 - o. Let r be y(1). Suppose 2*l + r*l = 125. Suppose 12332 = 97*q - 9299. What is the remainder when q is divided by l?
23
Let s be (38/(-42) - -1) + (-33195)/(-63). Let y = s - 510. What is the remainder when 19 is divided by y?
2
Let m(u) = u**2 + 2. Let b(d) = d**3 - 10*d**2 + 3*d - 22. Suppose 22 = 3*q + 2*k, 4*q + 2*k + 3*k = 20. Calculate the remainder when m(3) is divided by b(q).
3
Let m(z) = 8*z - 74. Let b = -292 - -307. Calculate the remainder when m(b) is divided by 25.
21
Let p(k) = 22*k**3 - 3*k**2 - 6*k + 67. Let b(u) = 19*u**3 - 3*u**2 - 5*u + 68. Let a(z) = 7*b(z) - 6*p(z). Calculate the remainder when a(0) is divided by 26.
22
Suppose -33*h + 3552 - 615 = 0. Let p = -44 + 75. What is the remainder when h is divided by p?
27
Let s(g) = 69*g**2 + 677*g - 2. Calculate the remainder when 4221 is divided by s(-10).
125
Let x = 15862 + -15778. Calculate the remainder when 3442 is divided by x.
82
Let s = -2810 - -2827. What is the remainder when 1631 is divided by s?
16
Let v = 13974 + -13398. What is the remainder when 583 is divided by v?
7
Let v = 22 + 33. Suppose 6 = 2*f - 4. Suppose 0 = o + m - 19, 2*o - f*o = 2*m - 57. Calculate the remainder when v is divided by o.
17
Suppose 5*d + 3 + 2 = 0, -2*d = 2*w - 290. Suppose 0 = h - 3*i - 67, 2*i + w = 2*h - 0. What is the remainder when h is divided by 18?
4
Let q(b) = -6*b - 144. What is the remainder when 495 is divided by q(-25)?
3
Let a be 26/10 - 2/(-5). Let y(h) be the third derivative of -h**5/60 + h**4/3 - h**3/3 + 3*h**2 + 25*h. Calculate the remainder when 75 is divided by y(a).
10
Let l = 86 - 85. What is the remainder when 188 is divided by 7/((-21)/(-198)) - l?
58
Let a(d) = -4*d - 2. Let n be a(-12). Suppose 0*t + 2*t = n. What is the remainder when t is divided by 8?
7
Let o be (-10 - 2278)*(-4)/(3 - -5). Suppose -5*r - 3*z + o = 267, 3*r = -z + 527. Calculate the remainder when r is divided by 92.
84
Let n(q) = q**2 + 6*q + 13. Let h be n(-3). Let l be ((-1)/h)/(4/992*-2). Let m = l - 20. Calculate the remainder when m is divided by 6.
5
Let p = 29886 + -29322. What is the remainder when p is divided by 51?
3
Let d = 2685 - 1534. What is the remainder when d is divided by 33?
29
Let m = 38 + -25. What is the remainder when ((-2)/12)/1 - (-28455)/630 is divided by m?
6
Let p be (-1 + -1)/(-2 - -1)*10. Suppose -p = -5*s + 160. Suppose 6*n = n + y + 60, -s = -3*n + 3*y. What is the remainder when n is divided by 7?
5
Suppose 13*h = 103*h - 11520. Calculate the remainder when 1349 is divided by h.
69
Suppose 1489*q - 1513*q = -5328. What is the remainder when 443 is divided by q?
221
Let n(l) = 2*l**2 + 18*l - 37. Let y = 177 + -191. What is the remainder when n(y) is divided by 53?
50
Suppose -514 = -7*x + 1348. Suppose -15 = -5*s - 4*i, 0 = s - 6*s + 5*i + 15. Suppose 11*c - x = -s*c. What is the remainder when 169 is divided by c?
17
Suppose 9*n = -30 + 84. Suppose -862 = -n*l - 10. What is the remainder when l is divided by 38?
28
Suppose v = u - 4*u + 316, 200 = 2*u - 2*v. Suppose 0*a - u = -13*a. What is the remainder when 34 is divided by a?
2
Let d(z) = -z**2 - 38*z - 298. Calculate the remainder when 2240 is divided by d(-13).
26
Let x(b) = b**2 - 30*b - 24. Suppose 12*y - 195 - 177 = 0. What is the remainder when x(y) is divided by 1?
0
Let j = 50 + -51. Suppose -5*a - 5*q + 90 = 0, 2*q - 5 + 65 = 4*a. What is the remainder when j/4 + 1316/a is divided by 29?
24
Let a be 0/((-28)/(-16) - (-1)/4). Suppose a = t - 5*t. Suppose -4*g + 0*g - v + 21 = t, 5*g - 25 = -v. Calculate the remainder when 15 is divided by g.
3
Let t = 43 + -7. Let w(p) = -3*p + 70. Let z be w(22). Suppose -5*l = 2*n - n - 100, 3*l = z*n + 60. Calculate the remainder when t is divided by l.
16
Let m(g) = 255*g - 2253. Calculate the remainder when m(10) is divided by 83.
48
Let j(s) = s**2 - 12*s + 16. Suppose 0*g + 2*g = 22. Suppose 0 = 208*z - 198*z - 20. What is the remainder when j(g) is divided by z?
1
Let u be 59/4 - 4/(-16). Suppose 8*m - u*m = -91. Calculate the remainder when m is divided by 3.
1
Let w = 37 + 37. Suppose -4*h + m = -81 + 1, m = 0. Calculate the remainder when w is divided by h.
14
Let m = 4247 - 2318. Suppose -312 - m = -9*t. Suppose 0 = -16*j + t + 215. What is the remainder when 115 is divided by j?
28
Calculate the remainder when (-8 - -76) + -13 + 12 + 7 is divided by 1 - 2 - 8/(-1).
4
Let j be (-5 - -2)/(3 + 171/(-58)). Let r = -51 - j. Let t(k) = -3*k**2 + 23*k + 10. What is the remainder when t(r) is divided by 13?
11
Suppose 0 = -13*c - 23 + 1843. Calculate the remainder when (-2)/(-7) + 25300/c is divided by 17.
11
Let q be 56/3*(-11)/(-2)*3. What is the remainder when 195 is divided by -4 + q/20 + (-6)/15?
8
Let f(l) = -5445*l - 59874. Calculate the remainder when ((-76)/1)/((-1)/8) is divided by f(-11).
20
Suppose -3*p = 5*f - 339, -10*p + 12*p + 4*f - 226 = 0. Calculate the remainder when p is divided by 62.
51
Let y = 5 - 2. Let o(z) = -25*z + 54. Let s(r) = -33*r + 55. Let f(j) = 4*o(j) - 3*s(j). Calculate the remainder when f(22) is divided by y.
2
Let p = 1133 + -1087. What is the remainder when 244 is divided by p?
14
Suppose -9*b + 23*b + 49712 = 66*b. What is the remainder when 2905 is divided by b?
37
Suppose p + 13*f - 18*f = 221, -2*p + f = -487. Suppose -p = -5*b + 164. Calculate the remainder when b is divided by 2.
0
Suppose 5*b = -2*d + 185, 2*d - 109*b + 108*b = 203. Calculate the remainder when d is divided by (-718)/(-14) + (-10)/35.
49
Let t(q) = -15*q**3 - 2*q**2 - 72*q - 189. What is the remainder when t(-3) is divided by 55?
29
Let w(f) = 9*f**2 + 4*f + 1. Let t be w(-1). What is the remainder when 118 is divided by 8 + (t - 10 - 16/(-2))?
10
What is the remainder when 156/(-24)*(-24 + 2) is divided by 8?
7
Let z be (198/(-27))/((-4)/6). Suppose -20 = 9*g - z*g. Calculate the remainder when 22 is divided by g.
2
Suppose 22*c = 26*c - u - 73, u - 22 = -c. Suppose 1819 = -2*v + c*v. Calculate the remainder when v is divided by 30.
17
Let r(w) = 228*w + 474. What is the remainder when 104 is divided by r(-2)?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
lect the terms in -1221*o + 211*o - 2938*o - 4*o**2.
-4*o**2 - 3948*o
Collect the terms in 14870*m - 7430*m - 7422*m.
18*m
Collect the terms in -45*c + 158*c - 118*c + 2*c**3 + 5*c.
2*c**3
Collect the terms in -1075*s + 2103*s - 1037*s.
-9*s
Collect the terms in -33 + 117 - 37 + 118 + x**3.
x**3 + 165
Collect the terms in 4 + 0 - 71*l - 4 - 259*l.
-330*l
Collect the terms in 6*l - l + 34*l**2 - 2*l + 0*l.
34*l**2 + 3*l
Collect the terms in -1025*j**3 + 1085*j**3 + 3 - 3.
60*j**3
Collect the terms in 4*x + 9*x - 5*x - 12*x.
-4*x
Collect the terms in 113 - 43*o**2 - 113 + 2*o**2.
-41*o**2
Collect the terms in 34069*q**3 - 34072*q**3 - 126 - 126.
-3*q**3 - 252
Collect the terms in 12*p - 3*p - 5*p - 9848.
4*p - 9848
Collect the terms in 144*v - 344*v + 61*v + 136*v.
-3*v
Collect the terms in -5929*o**2 - 7*o**3 + 5929*o**2.
-7*o**3
Collect the terms in -3 - 6 + 9 - 137558*t**2.
-137558*t**2
Collect the terms in 46949981*n + 0 + 0 - 46949964*n.
17*n
Collect the terms in -4 - 3631*x + 7308*x - 3683*x + 4.
-6*x
Collect the terms in -7547*a**2 - 1 - 1 + 2.
-7547*a**2
Collect the terms in -129*d**2 + 12*d**2 - 34 - 5*d**2 + d.
-122*d**2 + d - 34
Collect the terms in 67868633*o**2 - 67868633*o**2 + o**3.
o**3
Collect the terms in -5709*c**2 + 17174*c**2 - 5690*c**2 - 5698*c**2.
77*c**2
Collect the terms in -2182202*u**2 + 11*u**3 + u - 24*u**3 + 2182202*u**2.
-13*u**3 + u
Collect the terms in -790*r + 1480*r - 793*r.
-103*r
Collect the terms in 18*i - 195501*i**3 - 18*i + 195497*i**3.
-4*i**3
Collect the terms in 5*a + 9*a - 21*a + 10*a + 4*a + 10*a + 1.
17*a + 1
Collect the terms in 2*l - 15*l - 8*l - 5*l.
-26*l
Collect the terms in 2855 + 2*w - 2*w - 2862 + w.
w - 7
Collect the terms in -253*m**2 + 197*m**2 - 511*m**2 - m.
-567*m**2 - m
Collect the terms in -252*v + 521*v - 252*v.
17*v
Collect the terms in 518*f - 1 - 3 - 2*f**2 + 4.
-2*f**2 + 518*f
Collect the terms in 3118*f - 11172*f - 2946*f.
-11000*f
Collect the terms in -1 + 1 - 307*r**2 - 1543*r**2.
-1850*r**2
Collect the terms in 6*t**3 - 816 + 816 + 2679*t**2 - 2679*t**2.
6*t**3
Collect the terms in 2*b**3 - 241232 + 241232 + 48*b**2.
2*b**3 + 48*b**2
Collect the terms in -19 - 1748*r + 2 + 17 + 1749*r.
r
Collect the terms in 91*f + 91*f + 90*f - 356*f + 87*f.
3*f
Collect the terms in -728712*b**2 + 3*b + 728693*b**2 - 3*b.
-19*b**2
Collect the terms in -21 + 6*q**2 - 34 + 71 - 16.
6*q**2
Collect the terms in -7*y**2 - 18033 - 16*y**2 + 18033.
-23*y**2
Collect the terms in 133*m**3 + 144*m**3 + 145*m**3 - 421*m**3.
m**3
Collect the terms in -4*u**2 + 69254691*u - 69254691*u.
-4*u**2
Collect the terms in 310*a - 5 + 304*a + 5 - 597*a.
17*a
Collect the terms in 1024*q**3 - q - 1958*q**3 + 936*q**3 + q.
2*q**3
Collect the terms in 301 + 97*v + 300 - 907 + 306.
97*v
Collect the terms in -9009*p - 8983*p + 17968*p.
-24*p
Collect the terms in 33*b**2 - 4 - 4*b - 18 + 4*b + 24.
33*b**2 + 2
Collect the terms in -61*c - 578*c + 47*c.
-592*c
Collect the terms in 1443*m + 9*m**3 - 10*m**3 - 1530*m + 5985*m.
-m**3 + 5898*m
Collect the terms in -7*w**2 - 8*w**2 - 7*w**2 + 39*w**2 - 13*w**2.
4*w**2
Collect the terms in -2101*y**2 + 4210*y**2 - 41*y**3 - 2109*y**2.
-41*y**3
Collect the terms in 9253*o**2 - 4587*o**2 - 4666*o**2 + 3*o**3.
3*o**3
Collect the terms in 364*l**2 - 172*l**2 - 184*l**2.
8*l**2
Collect the terms in 1220601*h - 2441195*h + 1220596*h.
2*h
Collect the terms in 112 - 61 - 52 + 3624*u.
3624*u - 1
Collect the terms in -7351*k**3 + 7358*k**3 - 249*k + 249*k.
7*k**3
Collect the terms in -154*r**3 - 13*r**2 - 10*r**2 + 152*r**3 + 23*r**2.
-2*r**3
Collect the terms in 375*w + 368*w - 743*w - 365*w**3.
-365*w**3
Collect the terms in 34*o - 56*o + 22*o - 25*o**3.
-25*o**3
Collect the terms in -8 + 12922*y - 25842*y + 12923*y.
3*y - 8
Collect the terms in 14*k - 1607*k**3 - 14*k - 3.
-1607*k**3 - 3
Collect the terms in 60*s**3 + 274*s**3 - 83*s**3 - 10*s**3 + 409*s**3.
650*s**3
Collect the terms in 7 - 16 + 0 + 9 - 56*z**2.
-56*z**2
Collect the terms in -4 - 51*o**3 - 251 + 75*o**3.
24*o**3 - 255
Collect the terms in -4 - 32*u + 3 + 37*u - 67*u.
-62*u - 1
Collect the terms in 0*y**2 - 59*y - 58*y + 113*y - 2*y**2.
-2*y**2 - 4*y
Collect the terms in 20*z**2 - 25*z**2 - 28*z**2.
-33*z**2
Collect the terms in -36*i - 34*i - 90*i.
-160*i
Collect the terms in -7*y - 2*y + 4*y + 8*y + 2*y.
5*y
Collect the terms in 68*i - 2 + 2 - 6 + 6.
68*i
Collect the terms in 117*f + 1 - 54*f + 13 - 61*f - 4.
2*f + 10
Collect the terms in -2*x + 715*x**2 - 697*x**2 + 2*x.
18*x**2
Collect the terms in 1002*t**2 - 1 - 2202*t**2 + 1007*t**2.
-193*t**2 - 1
Collect the terms in 21 + 52*b**2 + 2*b - 21 - 35*b**3 - 52*b**2.
-35*b**3 + 2*b
Collect the terms in 3 - 1184*c**3 + 634*c**3 - 4.
-550*c**3 - 1
Collect the terms in -49 - 1334*x**2 + 49.
-1334*x**2
Collect the terms in 444460*q - 222233*q - 222245*q.
-18*q
Collect the terms in 331*w**2 - 2*w**3 - 2*w**3 + 1196*w**2 - 1527*w**2.
-4*w**3
Collect the terms in -12*n**2 + 892 - 131 + 13*n**2.
n**2 + 761
Collect the terms in 90448 + 90577 - 181025 - g**3.
-g**3
Collect the terms in -166*i - 50 + 50 - i**2.
-i**2 - 166*i
Collect the terms in 6*u**2 - 62*u**2 + 51*u**2.
-5*u**2
Collect the terms in 51 + 48 + i - 105.
i - 6
Collect the terms in 30*j + 37*j - 112*j + 46*j.
j
Collect the terms in 150 - j**2 - 60 + 7*j**2 - 30 - 60 - 4*j**2.
2*j**2
Collect the terms in -263 + 531 - 5*d - 268 - 31*d.
-36*d
Collect the terms in 1 - 3 - d + 4*d + 3*d + 8.
6*d + 6
Collect the terms in 347 + 139*j**3 - 347 - 114*j**3.
25*j**3
Collect the terms in -43*m - m + 0*m - 26 + 40*m + 26.
-4*m
Collect the terms in -9400 + 7*w**2 + 9400 - 5*w**2.
2*w**2
Collect the terms in -5*g**3 + 7*g**3 + 9*g**3 + 5*g**3.
16*g**3
Collect the terms in -69*x**2 - 9*x**3 + 46*x**2 - 22*x**2 + 45*x**2.
-9*x**3
Collect the terms in 37 - 31 + 21 + 6*g - 27.
6*g
Collect the terms in -845 - 769 + 184 - 2*k**2.
-2*k**2 - 1430
Collect the terms in c**2 - 3*c**2 + 5 - 3*c**2.
-5*c**2 + 5
Collect the terms in -37*q**2 + 4*q - 2*q + 13*q**2 - 12 + 12.
-24*q**2 + 2*q
Collect the terms in 798*z**3 + 845*z**3 - 1657*z**3.
-14*z**3
Collect the terms in 4*c + 157 + 4*c + 0*c - 9*c.
-c + 157
Collect the terms in 6*r**3 - 8*r**3 - 6*r**3 + 11*r**3.
3*r**3
Collect the terms in 1629*a**3 + 0 - 3236*a**3 + 0 + 1603*a**3.
-4*a**3
Collect the terms in -253*s**2 - 488*s**2 + 986*s**2 - 247*s**2.
-2*s**2
Collect the terms in 43021858 - 43021858 - 100*w.
-100*w
Collect the terms in -245 + 82 - 7*j + 81 + 82.
-7*j
Collect the terms in -35*g - 40*g - 19*g + 15*g + 10*g.
-69*g
Collect the terms in -6188*y**2 + 12360*y**2 - 6180*y**2.
-8*y**2
Collect the terms in -93*g**2 - 4 + 2 + 1543*g - 1541*g.
-93*g**2 + 2*g - 2
Collect the terms in 148*f**2 + 51*f**2 - 101*f**2 + 289*f**2.
387*f**2
Collect the terms in -6*a**2 + 4 + 0 + 3*a**2 - 6*a**2.
-9*a**2 + 4
Collect the terms in -32 + 4232*q**2 + 32 + 1968*q**2.
6200*q**2
Collect the terms in 26*g**3 + 1402*g - 1402*g.
26*g**3
Collect the terms in 21758*p**2 + p**3 + 23736*p**2 + 46016*p**2.
p**3 + 91510*p**2
Collect the terms in 59*x**2 + 70*x**2 - 5*x**2.
124*x**2
Collect the terms in -171*k**2 - 158*k**2 - 48*k**2 + 60*k**2.
-317*k**2
Collect the terms in -488*t**2 - 533*t**2 + 1367*t**2 - 640*t**2.
-294*t**2
Collect the terms in -131*n**3 - 3*n**2 + 3 - 24*n**2 + 27*n**2.
-131*n**3 + 3
Collect the terms in 275*r + 255*r - 590*r.
-60*r
Collect the terms in -7*i**3 - 137*i**3 + 29*i**3.
-115*i**3
Collect the terms in -9*j - 5*j - 7*j + 18*j + 6*j - 2*j.
j
Collect the terms in -3*z + 67*z - 20*z + 4*z + 13*z**3 - 48*z.
13*z**3
Collect the terms in -177*j**3 - 2 + 2 - 208*j**3 + 355*j**3.
-30*j**3
Collect the terms in 22*p**3 - 153*p**3 + 15*p**3 + 114*p**3.
-2*p**3
Collect the terms in -101*o + 154*o + 254*o.
307*o
Collect the terms in -510*s - 507*s - s**3 - 2*s**2 + 1017*s + 6*s**3.
5*s**3 - 2*s**2
Collect the terms in 2058 - 1031 - 4*a**3 - 1027 - 7*a**3.
-11*a**3
Collect the terms in -77*g**2 - 78*g**2 + 16 - 16 + 152*g**2.
-3*g**2
Collect the terms in 2176*y**2 + 32*y - 32*y - 2176*y**2 + 2*y**3.
2*y**3
Collect the terms in 564*h**3 + 0*h**2 - h**2 - 590*h**3.
-26*h**3 - h**2
Collect the terms in -539855*b + 1079795*b - 539914*b.
26*b
Collect the terms in -6 - 3*g + 3 + 4 + 6*g
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 0 (b) 5/2 (c) 7 (d) -1/8 (e) 3/11 (f) -0.7788
b
Which is the third smallest value? (a) -1 (b) 9/217 (c) 867
c
Which is the second smallest value? (a) -0.465 (b) -3 (c) -4/7 (d) -3793 (e) 4/9
b
Which is the biggest value? (a) -22172 (b) 2/9 (c) 2 (d) 0.1 (e) -1/5
c
Which is the fourth biggest value? (a) 0.5 (b) 2 (c) 1498 (d) 1461
a
What is the third smallest value in -4, -0.759520583, -5?
-0.759520583
What is the second biggest value in 2/13, -23, 35/2441?
35/2441
What is the third biggest value in -2, 4, -5422?
-5422
Which is the fifth smallest value? (a) 10 (b) 4 (c) 1/30 (d) 38/23 (e) -4
a
Which is the fourth biggest value? (a) 3 (b) -2 (c) -24289/60 (d) -5
c
What is the fifth biggest value in -0.5, 1/6, -31, -204159, -0.4?
-204159
What is the second biggest value in -0.11069, -22, 2/5?
-0.11069
What is the third smallest value in -1, -0.82, 54, -0.08, 5, 0.3?
-0.08
Which is the third biggest value? (a) 406 (b) -16 (c) -145.6
c
What is the fifth smallest value in -1/9, 0.4, -4.66, 3, 5/3?
3
What is the biggest value in -1/4, -0.023, -2/13, 3, -3, -71?
3
Which is the sixth smallest value? (a) 387 (b) 0.049 (c) -0.0329 (d) 2 (e) -4 (f) -2
a
Which is the fifth smallest value? (a) -5 (b) 4.1 (c) 315 (d) 0 (e) -2/13 (f) -82
b
Which is the smallest value? (a) 1/91 (b) 10 (c) -16 (d) 3
c
Which is the fourth smallest value? (a) -48 (b) -1/34 (c) 0.3 (d) -0.1 (e) 1/10 (f) -1/2
b
What is the biggest value in -15, 2, -1/10, 0.2, -28/475?
2
Which is the fourth biggest value? (a) 0.2 (b) 3 (c) -156352 (d) 24/11
c
What is the biggest value in 8, -103, 1/246?
8
Which is the second biggest value? (a) 2/7 (b) 4/3 (c) -1.7 (d) 0 (e) -3 (f) 0.5 (g) -3982
f
Which is the fourth biggest value? (a) 2/15 (b) -2 (c) -752 (d) -0.08 (e) 4/3
b
Which is the second biggest value? (a) -10/9 (b) -317 (c) -1131/7
c
What is the second smallest value in -8, -5, -1.7, 0.1, -9, 3, -45/8?
-8
What is the third biggest value in -15, -1, 1.5422, -2/9, -2, 1/2?
-2/9
Which is the seventh smallest value? (a) -179 (b) 3 (c) 0.73 (d) -0.2 (e) -1 (f) 0.3 (g) 0.04
b
What is the second biggest value in 1/8, -108, 3, 3/7, 40?
3
Which is the fourth smallest value? (a) -15 (b) -2 (c) -43 (d) -0.3 (e) 5/3
d
Which is the smallest value? (a) -5 (b) -4/6843 (c) -22/19 (d) 0.2
a
Which is the fourth smallest value? (a) -0.0877095 (b) 1 (c) -1 (d) -1/5
b
Which is the third biggest value? (a) 15 (b) -667 (c) -3
b
What is the fourth smallest value in 20/3, 2, -4/5, -0.01, -46, -2?
-0.01
Which is the seventh smallest value? (a) -0.21 (b) -3 (c) 26 (d) -0.026 (e) 1 (f) 3 (g) -0.5
c
Which is the third smallest value? (a) -2/5 (b) -1.3 (c) 0.3 (d) -0.039 (e) 964
d
What is the fifth smallest value in -318, 5, 4, -3/7, -137?
5
What is the fifth smallest value in 1/2, -2, -1/3, 169719, 0.4, -1?
1/2
Which is the fifth biggest value? (a) 5/3 (b) 2 (c) 4 (d) -243 (e) 0.09 (f) -62
f
Which is the second smallest value? (a) 0.99 (b) -408 (c) -4 (d) -3 (e) 340/7
c
Which is the third biggest value? (a) 73/5 (b) -2/9 (c) -2 (d) 1.64 (e) 2.2
d
Which is the second smallest value? (a) 0.1 (b) 0.473 (c) -3.9 (d) 0.0137
d
What is the smallest value in 210/149, 2, -0.0768?
-0.0768
What is the third biggest value in -0.9, 4, 1076.747, 5?
4
Which is the fourth smallest value? (a) -2 (b) 0.4 (c) 2/7 (d) -38.5 (e) -16418
c
Which is the sixth biggest value? (a) -1/3 (b) 2/911 (c) -45.8 (d) 0.01 (e) 2/3 (f) -0.2
c
Which is the smallest value? (a) -2 (b) -3/1195 (c) -0.5 (d) -4/3
a
What is the third smallest value in 43294, 0, 99?
43294
Which is the sixth smallest value? (a) -46 (b) 10 (c) 712 (d) 13 (e) 4/5 (f) 4 (g) -3/2
d
What is the second smallest value in 0, -0.4, 9860, -0.01458?
-0.01458
Which is the second smallest value? (a) -74 (b) -2 (c) 9 (d) -510 (e) 2/25
a
Which is the second smallest value? (a) 0.02 (b) 0 (c) -14 (d) -0.02681 (e) -0.2
e
Which is the second smallest value? (a) -44 (b) -0.3 (c) -5/23 (d) 3 (e) -0.4 (f) 40 (g) 0.2
e
What is the fourth smallest value in -2/9, 3/5, -0.4708, -3/7, 25/8, 3?
3/5
What is the fourth smallest value in -413, -3, 3377, 0.01?
3377
Which is the smallest value? (a) 41952128 (b) 4 (c) -0.4 (d) -3
d
Which is the fifth smallest value? (a) -2/13 (b) 0.4 (c) 61 (d) 0 (e) -83 (f) -2 (g) 27
b
What is the smallest value in -2/13, 14442, 4, 2/13, 0.5, -0.2?
-0.2
Which is the second smallest value? (a) -0.06 (b) -2/3 (c) -2/9 (d) 171/2 (e) 0 (f) -7/6 (g) -3
f
What is the third biggest value in 3070/63, 0.1, -12/7, 26?
0.1
Which is the biggest value? (a) 0.2 (b) -0.19 (c) 2 (d) 204
d
What is the third smallest value in -71, -0.2, 59, 1/118?
1/118
What is the third biggest value in -1/4, -3/4, -1/5, -442, 1.5, -0.3, -0.5?
-1/4
What is the second smallest value in 10455/8, -5, -379?
-5
What is the biggest value in -3, -1345, 1/17, -0.5, 5?
5
Which is the second smallest value? (a) 0.07 (b) 1 (c) 2/5 (d) -0.3 (e) 14 (f) -5
d
What is the third biggest value in -3/4, 71, 32/9947?
-3/4
Which is the biggest value? (a) 27 (b) 2 (c) -0.01836
a
What is the seventh biggest value in 43/4, -19, -1/14, -3, 1/3, 52, -4?
-19
What is the third smallest value in 17, 173, 22, 2?
22
What is the seventh smallest value in 3, 45/2, -4, -1061, -1, 0.3, 6?
45/2
Which is the second biggest value? (a) 0 (b) -15/46 (c) -1/11 (d) -1/13 (e) 4 (f) 3
f
What is the third smallest value in -4/7, 0.09, -2116, 120?
0.09
Which is the fourth biggest value? (a) -673 (b) 3 (c) -2 (d) -1 (e) -1/5 (f) -4/7
d
Which is the fourth biggest value? (a) -1 (b) 1 (c) 443 (d) -0.2 (e) -26.84 (f) -6
a
Which is the fourth biggest value? (a) 0.92 (b) -0.3 (c) 0.4949 (d) -44
d
What is the biggest value in -0.3, -8, -4, -149, 4, -29?
4
Which is the fourth biggest value? (a) 0.3 (b) 4 (c) 299234 (d) -27/4
d
Which is the biggest value? (a) -0.53 (b) 0 (c) 1/4 (d) 2/83 (e) 2 (f) 482
f
Which is the second biggest value? (a) 118/749 (b) -0.08 (c) -1/4
b
Which is the third smallest value? (a) 1263303 (b) 3 (c) -3
a
What is the fifth biggest value in -3/8, 4, -3/20, -4, 3.43?
-4
Which is the second smallest value? (a) 1742 (b) 7 (c) 3/74
b
What is the second biggest value in -2, 7, -9.74, -23/2?
-2
What is the fifth biggest value in 13, -2/5, -0.9, -20, -3, -2, 1/7?
-2
What is the biggest value in -0.39, -5, -4/23, -3543/8?
-4/23
What is the third smallest value in -2/13, -0.01, 0.02, 2/9303?
2/9303
Which is the third smallest value? (a) -0.14 (b) -418 (c) 1/3 (d) 24 (e) -0.3
a
Which is the fourth smallest value? (a) -2/5 (b) 0 (c) -101208 (d) -26
b
Which is the fourth biggest value? (a) 50133 (b) 92 (c) -0.3 (d) 1/3
c
What is the third biggest value in -642/7, 1/4, -4, 240, -0.5?
-0.5
Which is the smallest value? (a) -1.8 (b) 0.2 (c) -3/7133
a
Which is the third smallest value? (a) -27/13 (b) 45 (c) -84 (d) -2
d
What is the biggest value in 0.6, -4, 1/9, 0.5, 1/3, -563, 7/5?
7/5
Which is the second biggest value? (a) 10 (b) -1/5 (c) 0.5 (d) -0.3 (e) -25 (f) 0.01 (g) 5
g
Which is the third smallest value? (a) 3/7 (b) 4883174 (c) -5
b
What is the biggest value in 0.36862, 36, 2/3?
36
What is the fifth smallest value in 0.03, 5, -5, -7206, -9?
5
What is the fifth biggest value in -2, -1, -2/6735, -3, 36?
-3
What is the third biggest value in -32375, 136/5, 4?
-32375
What is the third biggest value in -780.4, 0.04, -227, 2?
-227
Which is the fourth smallest value? (a) 1472 (b) 70/9 (c) -2/5 (d) -0.01
a
Which is the sixth smallest value? (a) 12 (b) -0.78 (c) 0.4 (d) -1/7 (e) -0.2 (f) -30 (g) 19
a
What is the fifth biggest value in -1.575844, -2/19, 1, -1/7, 0.5?
-1.575844
What is the biggest value in -1/6, 2.2, -0.274706?
2.2
What is the second biggest value in 5, -0.5, 0.68, 14, -2/15, -0.3?
5
What is the second smallest value in -3, -50, -3397, -2?
-50
What is the sixth smallest value in 0.4, 11/5, 1/3, 1, -86, -1?
11/5
Which is the fourth biggest value? (a) 1/7 (b) 5 (c) -0.5 (d) -2110 (e) -2/23 (f) 1
e
Which is the third smallest value? (a) 0.403 (b) 157 (
|
{
"pile_set_name": "DM Mathematics"
}
|
+ c = -2848, y*a + 2*c = 1912. Is a composite?
True
Let z be (-13 + 4/4)*(-8)/16. Is ((-18)/(-2))/(-3)*(-206)/z prime?
True
Is (-115 + -31)/((-20)/11090) composite?
True
Let j(o) = -54*o**2 + 71*o + 3. Let r be j(16). Let m = r + 21339. Is m a composite number?
True
Let i = 13 - 7. Let d be 6 + ((-2 + i)/4)/1. Let j(p) = p**2 + 3*p + 7. Is j(d) a prime number?
False
Suppose -1858*l = -1873*l + 15621510. Is l prime?
False
Suppose 2*g = -5*z + 1036, 3*g + 5*z = 2*g + 523. Let q = -787 - -465. Let c = g + q. Is c a composite number?
False
Is 80612 - ((-2)/5 - (-441)/315) composite?
False
Let x(b) be the first derivative of 5*b**3/3 + 3*b**2/2 - 21*b + 6. Suppose -32*n = -29*n + 30. Is x(n) prime?
True
Let w = -753 - -2176. Is w a composite number?
False
Let a(s) = -s - 10. Let r be a(-7). Let x be (-2)/r - 18683/21. Let m = x - -1408. Is m a composite number?
True
Is ((-2003680)/(-14) - -44) + (-5 - 0) a composite number?
False
Let v = -340 + 1903. Is v a composite number?
True
Let h = 20824 - 14471. Is h a prime number?
True
Suppose -l = -q - 8*q - 225824, l - 225769 = -2*q. Is l a composite number?
False
Suppose 2*o - k - 621 = 1168, 0 = -o + 5*k + 917. Let n(s) = -s - 18. Let z be n(-21). Suppose z*a - o = -a. Is a a composite number?
False
Suppose 0 = -45*y + 41*y + 4*l + 3291812, -2*y - 5*l + 1645878 = 0. Is y a composite number?
False
Let j = -217 - -232. Suppose -48590 = -j*q - 15125. Is q prime?
False
Let y(q) = q**3 - 2*q + 2. Let g be 6/(-3) - 6/(12/(-4)). Let l be y(g). Suppose 4*v + 3*z = 475, l*z - 117 = -v + 3*z. Is v a prime number?
False
Let b = 136 + -525. Suppose 3720 = -5*n - 3*g + g, -3*n - g = 2231. Let w = b - n. Is w prime?
True
Let w = 4365 + -2570. Let o = 4128 - w. Is o a prime number?
True
Suppose -2*g - 2405 = -3*l, -11*g - 2407 = -3*l - 10*g. Suppose -l = -6*h + 4999. Is h prime?
True
Let m be (-16)/32*4366*-2. Let u = m - 1835. Is u a composite number?
False
Suppose 3*y - 19273 = -y + 102523. Is y a composite number?
False
Let x = 479 + -477. Is x*(-6478)/4*-1 composite?
True
Let r(q) = -20508*q - 13. Suppose 0 = 2*x + 4*a + 18, -x + 4*a = -9 - 6. Is r(x) a composite number?
True
Let l(i) = -17*i**3 - 45*i**2 - i - 16. Let b = 286 + -295. Is l(b) a composite number?
False
Let y(z) = -2*z**3 - 71*z**2 - 37*z - 70. Let l be y(-35). Let k be (-7)/(-1) + (1 - 2). Suppose -k*w + w + 18185 = l. Is w composite?
False
Suppose r + 9*c = 6*c + 15407, 61684 = 4*r - 2*c. Is r a prime number?
False
Let i = -801 + 805. Suppose -2*o - 33136 = -i*b + 2*o, 4*b - 33163 = -5*o. Is b a prime number?
True
Let h be 1/(5/10) + 24. Let j = h + -21. Is 25/j - 2 - -1556 a composite number?
False
Let h(a) = a**3 - 2*a + 7. Let u be h(0). Suppose 6*f - 2*f = 3*t + u, 2*t = -4*f - 18. Is f*((1 - 0) + -1062) composite?
True
Let x(b) = -11*b - 2. Let w = 24 + 45. Suppose 5*t = -w - 16. Is x(t) a composite number?
True
Let p(r) = 15102*r**2 - 28*r - 51. Is p(-2) prime?
True
Let f(u) = u**3 + 2*u**2 + u + 2. Let m be f(-2). Suppose m = 4*a - a - 948. Suppose -3*g = -4*w - 383, -4*g - w + 852 = a. Is g composite?
True
Let q = -2294 + 4294. Let w = q + -687. Is w prime?
False
Let a(n) = 419*n**3 - 3*n**2 - 4*n - 2. Let x be a(-1). Let y = 2207 - x. Is y prime?
False
Suppose -3*j + 12 = -12. Suppose j*n - 403 - 869 = 0. Is n prime?
False
Let b(l) be the third derivative of 611*l**4/24 + 151*l**3/6 - 2*l**2 - 52*l. Is b(8) prime?
True
Suppose -630*u + 629*u = 2*o - 62878, 0 = -3*o - 2*u + 94317. Is o prime?
False
Let g be 222/(-14) + 7/(-49). Let m(i) = 14*i**2 + 20*i + 31. Is m(g) prime?
False
Let g(q) be the second derivative of 2919*q**5/20 - q**4/12 - q**3/2 + q**2/2 + 12*q. Let w be g(2). Suppose w = 12*t + 5691. Is t a composite number?
False
Let n(l) = 1558*l**2 - 20*l - 4. Let y be n(-6). Suppose -191*k = -187*k - y. Is k a composite number?
False
Suppose 5*w - 58771 - 76383 = 76011. Is w prime?
False
Let s(y) = -y**3 + 10*y**2 + 6*y + 4. Let w(m) = 4*m**3 - 40*m**2 - 23*m - 17. Let n = 55 + -46. Let r(l) = n*s(l) + 2*w(l). Is r(10) a composite number?
True
Suppose 7*h + 16465299 = 58*h. Is h a composite number?
False
Let w = -27061 + 50204. Is w a prime number?
True
Let o(h) = -134*h - 3. Let i(a) = -a. Let u(k) = -3*i(k) + o(k). Let r = -630 + 626. Is u(r) composite?
False
Suppose -8*a + 728 = -6*a. Suppose a = 5*o - 7341. Suppose -2*z + o = -z. Is z a composite number?
True
Let v = 292952 + -125574. Is v composite?
True
Let w be (2016/(-180))/((-1)/95). Suppose -1068*b + 486548 = -w*b. Is b prime?
True
Is (132 + -131)*(-2 - -3)*296627 composite?
False
Suppose 13*k = 12*k - t - 7666, -t - 15336 = 2*k. Let j = 12343 + k. Is j a composite number?
False
Suppose 6631*s - 6652*s = -9606849. Is s prime?
True
Suppose 18*l - 14*l + 8 = 0, 155861 = 5*t + 2*l. Is t a prime number?
False
Let p be (300/(-675))/((-1)/9). Suppose -5*y - l = -58087, 2*y + p*l - 20770 - 2472 = 0. Is y a composite number?
False
Suppose -17*i - 603 = -14*i. Let a = i - -1858. Is a a prime number?
True
Suppose 0 = -2*j + 4*k - 70, -3*k - 203 = 5*j + k. Let o = j - -42. Suppose 0 = -z - 1 - 0, o*c - 3*z - 564 = 0. Is c a prime number?
False
Suppose 59 = -12*f - 241. Is (-9792)/(-7) - f/175 composite?
False
Suppose 15*m - 60*m = -28*m. Suppose -4 = -b + 2*s + 5, 4*s - 15 = -b. Suppose -12*z + b*z + 82 = m. Is z a composite number?
True
Suppose -4*y - 3*a + 5 + 15 = 0, -a = -4*y + 4. Let s(x) = 160*x**3 - 5*x**2 + 40*x + 3*x**y - 39*x - 1. Is s(2) a composite number?
True
Suppose -31*d + 14933122 = 63*d. Is d composite?
False
Let c(h) = -8*h**2 + 24*h + 31 + 4*h**3 - h - 12*h - 9*h. Is c(9) a prime number?
False
Suppose -3*v - 13*v + 1499040 = -3135376. Is v a prime number?
False
Let f(y) = 63*y**2 - 18*y + 53. Is f(16) prime?
False
Let b = 758 + -450. Suppose 6*c = 64 + b. Suppose 0 = 3*h - 5*h + c. Is h composite?
False
Let c = -105252 - -866293. Is c composite?
True
Let k = 230521 + 64102. Is k composite?
True
Let z be (-2)/5*40/(-8). Is 3160 - z - 0 - (-1 + -4) a prime number?
True
Let t(m) be the first derivative of 4 + 7 - m + 74*m**3 - 2 + 2*m. Is t(1) a prime number?
True
Let q(p) = p + 10. Let g be q(-10). Suppose -18 = -3*v - g*v. Is 5/(150/655)*v prime?
True
Suppose 0 = 4*p - z - 21554318, -p = -37*z + 41*z - 5388605. Is p a composite number?
True
Let w(k) be the first derivative of 7*k**2 - 14*k - 11. Let r be w(13). Suppose 0*l + r = l - c, c = 5*l - 820. Is l a prime number?
True
Let g(l) = 93*l**2 - 64*l + 282. Is g(7) prime?
True
Let p = 155 + -152. Suppose -4*n - 8661 = -p*a + 9718, 2*n = 3*a - 18371. Is a a composite number?
False
Let u = -6512 - -15331. Is u a prime number?
True
Is (3 + (-30)/8)*4*-1 + 14450 a prime number?
False
Let g be (-3)/(-2)*(-20)/(-6). Let q be 4104/(-48)*(-52)/9. Suppose -5*c - 5*n + 1355 = -1025, q = c - g*n. Is c a prime number?
True
Suppose -52 = 26*p - 30*p. Is 11596/p - (10/2)/1 a prime number?
True
Let w(a) = -a**2 + 1. Let g(p) = 20*p**3 - 4*p**2 + 2*p - 4. Let i(u) = -g(u) + 5*w(u). Let h be i(-3). Let f = 935 - h. Is f a prime number?
True
Let r = -191 + 203. Is (-14)/(-21) + 23884/r a prime number?
False
Let o be (-1 - (-3)/(-6))*(-8545 + -1). Suppose 0*d - 7695 = -3*i + 3*d, 0 = 5*i - 2*d - o. Is i composite?
True
Suppose 12*t = 18*t - 3126. Let i = t + 1560. Is i a prime number?
True
Suppose -3*m - 2*m = 4*y + 26735, 3*y + 5*m + 20055 = 0. Is (76/(-10))/(16/y) a prime number?
False
Let s be -12 + 5 + 63796 + 3. Suppose -3*l = 3*k - 8*l - s, -2*k + 42526 = -4*l. Is k prime?
True
Suppose -11621187 + 8488660 = -103*b + 32886264. Is b a prime number?
True
Suppose -216480 = -17*k + 11*k. Let m = -19897 + k. Is m a prime number?
True
Let p = 120 - 129. Let i be (-3)/p*15 + 12506. Suppose 0 = 5*s - 4*o - i, 2*s - 3*o = -2*o + 5005. Is s composite?
False
Is (-17)/(-1 - 33) + (-4887579)/(-6) a prime number?
False
Suppose -160*d + 19926688 = 1904355 - 817827. Is d a composite number?
False
Let t = -8836 - -11697. Is t a composite number?
False
Let u(w) = 2*w**2 + w + 2. Let h be u(1). Suppose -2*p + g + 228 = 0, h*p - 95 = -3*g + 486. Is p composite?
True
Let r be 2/8 - 161/(-28). Is (-6)/(-9)*(r - (-5529)/2) prime?
True
Let g = -63 - -65. Suppose 0 = g*b - 4*h - 17638 - 21488, -19578 = -b + 5*h. Is b a prime number?
True
Let s(f
|
{
"pile_set_name": "DM Mathematics"
}
|
0)/((-1)/(-2)). Let v = 1/928 - 937/8352. Which is the closest to 1? (a) z (b) q (c) v
a
Let t = -0.289 - -0.589. Let l = -8 + 4. What is the closest to -1/2 in l, -0.04, t?
-0.04
Let d = -1165.1 - -1165. What is the closest to 1 in d, 3/7, 14, 5?
3/7
Let x = 2.99 - -0.01. Let q be ((-2)/6)/(21/(-12303)). Let v = 195 - q. Which is the closest to x? (a) 4 (b) -0.3 (c) v
a
Let j = -4 - -6. Let i = 8.37 + -8.47. Which is the nearest to -2? (a) j (b) -3/4 (c) i
b
Let v(r) = 2*r - 6. Let s be v(8). Let d be 21/(-35)*s/(-9). Let q = -78/979 + -1/89. Which is the closest to 0? (a) q (b) d (c) 2/17
a
Let v = 0 - -4. Suppose -5*j = v*u + 11, 5*j - j + u = 0. Let c be (6/(-140)*5)/(1/2). What is the nearest to j in -3/2, -0.4, c?
-0.4
Let j = 243 - 242.96. Which is the nearest to -2? (a) j (b) -2 (c) 5
b
Suppose -5*o = -4*o. Let h = 0.0732 + -0.3732. Which is the nearest to 0.1? (a) o (b) h (c) -6
a
Let x = 0.146 - 1.046. What is the nearest to -5/3 in -2, -2/13, x?
-2
Let q = -3 - -1.8. Let v = -0.7 - q. Let k = 21 - 62/3. Which is the nearest to k? (a) 0.4 (b) v (c) 2
a
Let j = -203578 - -1834261/9. Let s = -229 + j. Suppose 3*x + 0*x = -3*d + 6, 4*x + 2*d = 6. Which is the closest to x? (a) 0.4 (b) -0.5 (c) s
a
Let m = -156.37 - -157. Let o = 12.63 - m. What is the closest to 0 in -1/4, o, 3?
-1/4
Let q = 140 - 696/5. Let p = -0.6 - -0.7. Which is the closest to p? (a) 2/5 (b) q (c) -1/3
a
Let d = 0.5 - 0.3. Let y = 239 + -242. What is the nearest to d in 2/3, y, 0.1?
0.1
Let c = 0.9 + -1. Let t = -1/208 - -843/2288. Let i = t - -10/33. What is the nearest to -1/4 in c, i, -5?
c
Let r = 5/29 + -47/609. What is the closest to 0 in -5, 3/8, r, -3?
r
Let f(s) = -5*s**2 - s + 1. Let w be f(1). Let l = 0.1072 + -52.2072. Let d = 52 + l. Which is the nearest to 2/3? (a) w (b) -1 (c) d
c
Let l = 2258 + -2257. What is the closest to l in 2, -0.3, 1/13?
1/13
Let l = 0 - 0.1. Let c = -4834/13 - -372. What is the closest to c in -0.5, l, 2?
l
Let n = -956 + 958. What is the nearest to n in 2/17, -1, 2, 11?
2
Let r = 28 + -83/3. Let q = -1/6 - r. Which is the closest to 2? (a) 0 (b) q (c) 1.1
c
Let u = 2 - 2. Let c be (-1010)/(-728) + 6/(-8). Let k = c + -12/13. What is the nearest to k in -2/13, u, 1?
-2/13
Suppose 18 = -28*x + 37*x. What is the nearest to -2/7 in 2/19, 1, x?
2/19
Let l = 149 + -165. What is the closest to 0 in -4, -0.01, l?
-0.01
Let a = -1069/253 - -46/11. Let x = 21/46 - a. Let t = -61.6 + 59.6. What is the nearest to t in x, -1, 2/5?
-1
Let w(q) = q**2 + 62*q - 1955. Let p be w(-85). Let i = 3 + -7. What is the nearest to 2 in i, -1/7, p?
p
Let m = -142 + 41. Let g = m - -101.4. Which is the closest to -1? (a) g (b) 2 (c) 4
a
Let q = -0.06 + 2.06. Let x be (-9)/((-189)/(-14))*(-39)/(-26). What is the closest to q in 0.3, 1, x?
1
Let z = 0.2077 + -0.0077. What is the closest to -0.04 in 0, z, -1.7?
0
Let s = -3.72 + 0.12. Let u = s - -3.9. Let q = 0.3 + -0.2. Which is the nearest to 0.3? (a) q (b) u (c) 5
b
Let i = 12 + -8. Let p = 38 + -39.2. Let r = -1.2 - p. What is the nearest to 0.2 in r, i, 0.3?
0.3
Let y be (40/4)/(4 + -2). Suppose y*f + 6*t - t = -10, -2*f - 4*t = 14. Let o = -2/9 - -31/18. Which is the nearest to -1? (a) o (b) 0.3 (c) f
b
Let w be (-2)/(-8)*28/14. Which is the nearest to w? (a) 0 (b) 6 (c) 0.08
c
Let v = -3 + 3. Suppose 2 = x + 29. Let p be 3*(-2)/x*-1. What is the closest to v in p, 4, 0.1?
0.1
Let i be 1/((-4)/(-5) - 1). Let b be 2 + 3 + (-2613)/572. Let u = 2/11 - b. What is the closest to -1 in 2, i, u?
u
Let n = 105.8 + -105.6. Which is the closest to -0.2? (a) -5 (b) n (c) 0.06
c
Let i be (-160)/(-672) - (-2)/6. What is the closest to 1/4 in 0.5, i, -5, -2?
0.5
Let s be 4*(-5)/20 + (-2 - 0). Let j be (s/10*-4)/(32/240). Let t = -565/34 - -33/2. What is the closest to 2/5 in -0.4, t, j?
t
Let k = -5.49 - -0.49. Let u = k + 5.1. What is the closest to -1 in 0.12, 3, u?
u
Let s = -24.65 - -25.65. Which is the closest to 1/4? (a) -6 (b) -4 (c) 3 (d) s
d
Suppose -4*j + 6 = -6. Let y = -0.068 - -7.068. Let q = -7.1 + y. Which is the nearest to -2/9? (a) q (b) -1/3 (c) j
b
Let w = 2.95 + 0.05. Suppose -48 = 6*x - 18*x. Which is the nearest to -3? (a) w (b) 0.06 (c) x
b
Let x = 0.135 + 0.465. Which is the closest to -0.1? (a) 0.4 (b) -4 (c) x
a
Let o = 1 + -7/9. Which is the closest to 0.1? (a) o (b) 0.13 (c) -0.3
b
Let k(s) = -s - 1. Let m be k(-4). Which is the nearest to 4/9? (a) 5 (b) m (c) 0.5
c
Suppose -l + 30 = 3*l + 5*u, -2*l = -4*u - 2. Let b = 353 + -324.4. Let i = b + -29. What is the closest to 1 in l, 0.3, i?
0.3
Let j = -7 - -34/5. Let k = -0.45 - -0.05. Let w be ((-38)/76)/((-1)/(-3) + -1). What is the nearest to j in k, w, -3?
k
Let x = 0 + -0.2. Let w be 7/28 + (3/(-4) - 0). What is the nearest to w in x, -0.3, -0.1?
-0.3
Let v = -51/598 - -11/46. Which is the nearest to 2/9? (a) -3/7 (b) -2 (c) v (d) -31
c
Let g(y) = y. Let x be g(-1). Let t = 2103 + -2105. Which is the closest to 0.2? (a) t (b) x (c) -0.2
c
Let o be (-4)/(-32)*0 - (-2)/10. Let f = -132440 + 79861244/603. Let l = f + 1/67. What is the nearest to -1 in l, o, 0.3?
l
Let f = 9.8 + -9.7. Which is the nearest to f? (a) -6 (b) -1/6 (c) -4
b
Let c = -14 - -13.6. Let s(j) = 4*j - 2. Let a be s(2). Let y be (10/a)/(2/(-6)). What is the closest to 6 in y, 1, c?
1
Let m be (-1)/3 - 98/21. Let d = m + 14. Let b be (2 - 30/d)/(-6). What is the nearest to -1 in 0.1, 5, b?
0.1
Let n = 1.5183 - 1.6083. Let r be ((-12)/(-70))/(3/10). Which is the closest to 0? (a) n (b) 5 (c) r
a
Let w = -62134 - -62132. Suppose -4*u = -2*k - 48, k - u = -7 - 12. Let j be (0 + (-1)/k)*-4. Which is the closest to j? (a) 3 (b) w (c) -1
c
Let g = -0.26 + -13.74. Let z = -14 - g. Let l = z + -0.4. What is the nearest to -0.2 in 3, -0.5, l?
l
Let s be 2/(-30) + (0 - (-8)/20). What is the closest to -1.82 in -2/9, s, -2/17?
-2/9
Let p = 533 + -530. Which is the nearest to -0.2? (a) p (b) 0 (c) 9 (d) -2/7
d
Let n = 291 + -2034/7. What is the nearest to 0.1 in n, 0, 1/4?
0
Let p = 6 + -5.9. Let i = -6 - 4. Let c(s) = 2*s + 15. Let r be c(i). What is the closest to p in 0, r, 1?
0
Let x = -24 + 20. Suppose -6*l = 4*l. What is the nearest to x in -3/5, 5, l?
-3/5
Let g = 39 - 427/11. Let o(x) = 0*x - 6*x - 12 - 32 + 25. Let l be o(-4). What is the nearest to 1 in 0.2, l, g?
0.2
Let f = -135 - -135.1. What is the nearest to f in -2.6, -3, 1?
1
Let i(y) = 2*y**3 + y**2 - y + 1. Let x be i(1). Let d be x/((-30)/(-2))*1. Let g = 0.163 - 2.163. What is the closest to 1/4 in g, 2, d?
d
Let p = -0.18 + 0.18. Let x = -45/8 - -175/24. Let w be (-2 + 6 + -2)*(-2 + 0). What is the closest to p in 2, x, w?
x
Let u = 211 + -211.1. What is the closest to u in -4, -8, 4?
-4
Suppose 5*x + 6 - 36 = 0. Let o be 22/x + (-5)/(-15). Suppose -o = 3*r - r. Which is the nearest to r? (a) -0.4 (b) 0.3 (c) 4/7
a
Let i = -269.15 - -269. What is the closest to i in 0.3, 2, 0.1?
0.1
Let j = 2.1 - 2. Let h be ((-7)/42)/(38/(-342)). What is the closest to -1 in 2, h, j?
j
Let w = 11 - 10. Let x = -0.9 + w. Let y = -3/58 + 125/174. What is the nearest to 1 in y, 3, x?
y
Let n = 792851/35126 + -1/5018. Let v = 22 - n. Let r = 10.1 + -9.8. What is the nearest to 0 in v, r, 3/8?
r
Suppose 0*l + 5*w = -3*l + 14, -4*l = -2*w + 16. Let z(p) = p**2 + 7*p - 17. Let d be z(2). Which is the nearest to d? (a) 0 (b) -2/3 (c) l
a
Let s = 29.947 - 30. Let b = -4.947 + s. Let m = 65/12 - 19/4. What is the closest to m in 0.2, -1/3, b?
0.2
Let j be -6*(-5 - 56/(-12)). Which is the closest to 1? (a) -2/3 (b) j (c) -4
b
Let c(v) = -v + 2. Let u be c(-8). Let y be 2 - 4/(16/u). Let t = 30 + -31. What is the closest to y in t, 2/3, 4?
t
Let m be ((-184)/(-460))/(38/5). Which is the closest to 1? (a) m (b) 1 (c) -0.5
b
Let d = -256 - -251. Which is the closest to -2/7? (a) d (b) 0.03 (c) 0
c
Let v = 202.8 - 203. Which is the nearest to 0? (a) 3 (b) v (c) 0
c
Let j be 2/3*-3 - (-24)/14. Which is the closest to 0? (a) 1/8 (b) j (c) -1 (d) -15
a
Let m be ((-4)/(-3))/((-88)/(-12) + -4). Let w = 0.059 - 3.159. Let y = w + 3. Which is the nearest to m? (a) y (b) 0.2 (c) -1
b
Let u = -3.03 + 0.03. Let p = 5.6 + -0.6. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the tens digit of 1026?
2
What is the thousands digit of 34257?
4
What is the units digit of 36486?
6
What is the ten thousands digit of 60952?
6
What is the units digit of 1319?
9
What is the tens digit of 63393?
9
What is the hundred thousands digit of 110557?
1
What is the hundreds digit of 21280?
2
What is the tens digit of 12151?
5
What is the thousands digit of 23340?
3
What is the units digit of 1459?
9
What is the hundreds digit of 402?
4
What is the units digit of 18460?
0
What is the tens digit of 1254?
5
What is the hundreds digit of 4688?
6
What is the ten thousands digit of 14098?
1
What is the units digit of 855?
5
What is the units digit of 260?
0
What is the thousands digit of 7575?
7
What is the units digit of 525?
5
What is the units digit of 2810?
0
What is the tens digit of 14547?
4
What is the ten thousands digit of 58581?
5
What is the hundreds digit of 10735?
7
What is the hundreds digit of 142?
1
What is the hundreds digit of 304?
3
What is the thousands digit of 9034?
9
What is the tens digit of 816?
1
What is the units digit of 6051?
1
What is the units digit of 18815?
5
What is the hundreds digit of 2256?
2
What is the thousands digit of 10044?
0
What is the units digit of 30196?
6
What is the hundreds digit of 13799?
7
What is the hundreds digit of 153?
1
What is the hundreds digit of 34805?
8
What is the thousands digit of 57431?
7
What is the hundreds digit of 7698?
6
What is the hundreds digit of 342?
3
What is the hundreds digit of 20338?
3
What is the units digit of 1909?
9
What is the tens digit of 1914?
1
What is the thousands digit of 16968?
6
What is the tens digit of 620?
2
What is the hundreds digit of 29192?
1
What is the thousands digit of 5094?
5
What is the units digit of 5173?
3
What is the hundreds digit of 1614?
6
What is the hundred thousands digit of 109430?
1
What is the hundreds digit of 1042?
0
What is the hundreds digit of 55081?
0
What is the thousands digit of 71090?
1
What is the tens digit of 8938?
3
What is the units digit of 3869?
9
What is the units digit of 1608?
8
What is the hundreds digit of 842?
8
What is the units digit of 6593?
3
What is the units digit of 17349?
9
What is the hundreds digit of 7815?
8
What is the thousands digit of 3834?
3
What is the thousands digit of 8570?
8
What is the ten thousands digit of 29713?
2
What is the hundreds digit of 251?
2
What is the tens digit of 42353?
5
What is the units digit of 56872?
2
What is the units digit of 37482?
2
What is the hundreds digit of 7508?
5
What is the tens digit of 937?
3
What is the thousands digit of 98553?
8
What is the thousands digit of 3866?
3
What is the ten thousands digit of 20669?
2
What is the thousands digit of 5143?
5
What is the hundred thousands digit of 152738?
1
What is the units digit of 1240?
0
What is the ten thousands digit of 49558?
4
What is the tens digit of 4075?
7
What is the hundreds digit of 5213?
2
What is the hundreds digit of 376?
3
What is the hundreds digit of 780?
7
What is the ten thousands digit of 157329?
5
What is the hundreds digit of 47086?
0
What is the tens digit of 1228?
2
What is the tens digit of 2572?
7
What is the tens digit of 1108?
0
What is the hundreds digit of 12451?
4
What is the tens digit of 3210?
1
What is the tens digit of 295?
9
What is the tens digit of 359?
5
What is the units digit of 21226?
6
What is the hundreds digit of 4553?
5
What is the units digit of 3375?
5
What is the hundreds digit of 3500?
5
What is the hundreds digit of 12450?
4
What is the hundreds digit of 126?
1
What is the units digit of 686?
6
What is the units digit of 2469?
9
What is the thousands digit of 4560?
4
What is the thousands digit of 2932?
2
What is the tens digit of 233?
3
What is the hundreds digit of 909?
9
What is the units digit of 293?
3
What is the tens digit of 16515?
1
What is the hundreds digit of 2348?
3
What is the hundreds digit of 1416?
4
What is the thousands digit of 22938?
2
What is the hundreds digit of 618?
6
What is the tens digit of 863?
6
What is the units digit of 70147?
7
What is the hundreds digit of 2063?
0
What is the ten thousands digit of 13549?
1
What is the tens digit of 20998?
9
What is the hundreds digit of 79100?
1
What is the tens digit of 1255?
5
What is the ten thousands digit of 77161?
7
What is the tens digit of 1017?
1
What is the hundreds digit of 1902?
9
What is the hundreds digit of 1107?
1
What is the hundreds digit of 177?
1
What is the thousands digit of 16217?
6
What is the ten thousands digit of 24785?
2
What is the units digit of 14746?
6
What is the units digit of 48795?
5
What is the thousands digit of 1184?
1
What is the units digit of 27370?
0
What is the thousands digit of 43689?
3
What is the hundreds digit of 11448?
4
What is the thousands digit of 7126?
7
What is the thousands digit of 2425?
2
What is the units digit of 4138?
8
What is the hundreds digit of 1062?
0
What is the units digit of 145?
5
What is the tens digit of 76?
7
What is the tens digit of 3538?
3
What is the tens digit of 647?
4
What is the hundreds digit of 308?
3
What is the hundreds digit of 1307?
3
What is the units digit of 1595?
5
What is the thousands digit of 21992?
1
What is the hundreds digit of 10605?
6
What is the tens digit of 998?
9
What is the tens digit of 38080?
8
What is the hundreds digit of 572?
5
What is the tens digit of 2779?
7
What is the units digit of 856?
6
What is the hundreds digit of 30171?
1
What is the hundreds digit of 41402?
4
What is the thousands digit of 4659?
4
What is the tens digit of 569?
6
What is the thousands digit of 6962?
6
What is the tens digit of 36676?
7
What is the units digit of 181?
1
What is the units digit of 63666?
6
What is the hundreds digit of 1428?
4
What is the tens digit of 303?
0
What is the hundreds digit of 758?
7
What is the units digit of 1181?
1
What is the hundreds digit of 1807?
8
What is the tens digit of 1446?
4
What is the tens digit of 192?
9
What is the thousands digit of 21434?
1
What is the tens digit of 383?
8
What is the ten thousands digit of 49068?
4
What is the tens digit of 21508?
0
What is the units digit of 6705?
5
What is the units digit of 59969?
9
What is the tens digit of 2978?
7
What is the thousands digit of 5510?
5
What is the units digit of 10337?
7
What is the thousands digit of 1119?
1
What is the hundreds digit of 16506?
5
What is the hundreds digit of 1060?
0
What is the thousands digit of 15082?
5
What is the units digit of 6830?
0
What is the hundreds digit of 125893?
8
What is the thousands digit of 103015?
3
What is the units digit of 14198?
8
What is the thousands digit of 1770?
1
What is the tens digit of 5263?
6
What is the units digit of 2543?
3
What is the hundreds digit of 8171?
1
What is the tens digit of 81221?
2
What is the tens digit of 2315?
1
What is the units digit of 1037?
7
What is the units digit of 921?
1
What is the tens digit of 9619?
1
What is the units digit of 4129?
9
What is the hundreds digit of 14612?
6
What is the hundreds digit of 74233?
2
What is the thousands digit of 4288?
4
What is the thousands digit of 61066?
1
What is the tens digit of 98019?
1
What is the tens digit of 26079?
7
What is the ten thousands digit of 24090?
2
What is the ten thousands digit of 23299?
2
What is the thousands digit of 38545?
8
What is the units digit of 462?
2
What is the units digit of 999?
9
What is the units digit of 1500?
0
What is the units digit of 4446?
6
What is the hundreds digit of 24976?
9
What is the tens digit of 856?
5
What is the thousands digit of 1883?
1
What is the tens digit of 15783?
8
What is the units digit of 24444?
4
What is the thousands digit of 13999?
3
What is the tens digit of 21910?
1
What is the units digit of 49938?
8
What is the tens digit of 143151?
5
What is the units digit of 2469?
9
What is the tens digit of 1040?
4
What is the tens digit of 964?
6
What is the thousands digit of 2001?
2
What is the thousands digit of 5065?
5
What is the thousands digit of 1035?
1
What is the units digit of 53743?
3
What is the units digit of 17559?
9
What is the tens digit of 17938?
3
What is the ten thousands digit of 13236?
1
What is the tens digit of 2499?
9
What is the hundreds digit of 8564?
5
What is the ten t
|
{
"pile_set_name": "DM Mathematics"
}
|
Let g(l) = i(l) - u(l). Suppose -5*d + 2*x = x - 6, -3*x - 6 = -3*d. Calculate the remainder when g(d) is divided by 3.
2
Let m(c) = -c**3 + 3*c**2 + 10*c + 24. Calculate the remainder when m(-5) is divided by 35.
34
Calculate the remainder when 10/(-5) + (-1380)/(-10) is divided by 10.
6
Let k(y) = -12*y - 3. Let o = -44 + 50. Let u = 2 + o. What is the remainder when k(-2) is divided by u?
5
Let m = -8 - -13. Suppose -m*h = -g + 34, 0 = -3*g - 2*h + 121 - 19. Suppose 2*o = 4*o - g. What is the remainder when 48 is divided by o?
14
Let r be (-4)/2 + -1 - 0. Suppose 0 = -4*g + h + 113, -4*h = -4*g + 384 - 268. What is the remainder when 332/3 + r/(-9) is divided by g?
27
Suppose 161 = -13*g - 86. Let n(u) = -u**3 - 20*u**2 - 18*u + 33. What is the remainder when 17 is divided by n(g)?
3
Let u(b) = 37*b**2 + b. Let r(t) = 2*t**2 + 32*t + 136. Calculate the remainder when u(1) is divided by r(-7).
8
Let o(x) = 3*x**2 - 28*x + 12. Let r be o(11). Let v = -38 + r. Calculate the remainder when v is divided by 6.
5
What is the remainder when (-1051637)/(-340) - (-2)/(-40) is divided by 129?
126
Suppose -x - 5 + 3 = 0. What is the remainder when (1 - x)*(-1390)/(-15) is divided by 40?
38
Let d be 60/(-105) + (-192)/7. Let b = -2 - d. Let h = 10 - 3. What is the remainder when b is divided by h?
5
Suppose 0 = -3*f + 5*u + 620, u + 189 = 2*f - 236. Calculate the remainder when f is divided by 18.
17
Let p(c) = -c + 11. Suppose -4*t + 3*a = 94, -4*t = -0*a + a + 102. Calculate the remainder when 105 is divided by p(t).
33
Let b = 2570 - 2566. Calculate the remainder when 27 is divided by b.
3
Suppose 0 = 3*z - 0*q - 3*q - 18, 26 = 2*z + 5*q. What is the remainder when (-527)/(-7) + 4/(-14) is divided by (-1)/2 - (-156)/z?
18
Let m = 285 - 282. Calculate the remainder when 2/10 + (-238)/(-10) is divided by m.
0
Let z(u) = -u**2 - 3*u + 11. Let f be z(-6). Let o(r) = -r**3 - 6*r**2 - 8*r - 5. Calculate the remainder when o(f) is divided by 26.
22
Suppose 0 = h - 37. Let i = h - 13. Calculate the remainder when (-1*3)/((60/184)/(-5)) is divided by i.
22
Let w(v) = v**2 + 8*v - 11. Let i be w(-8). Let y = 16 + i. Suppose 19 = 4*h - y. Calculate the remainder when 14 is divided by h.
2
Suppose 38 = 4*d - 34. Suppose 38*i + 144 = 64*i - 1078. Calculate the remainder when i is divided by d.
11
Suppose -5*z + 226 = 5*u - 24, 0 = u + 4*z - 38. Calculate the remainder when u is divided by 32.
22
Let l(a) = a**2 - 18*a - 185. What is the remainder when 91 is divided by l(-8)?
22
Let a = 434 + -138. Calculate the remainder when a is divided by 23.
20
Let j(r) = 8*r**2 + r. Let x = -1926 + 1936. What is the remainder when x is divided by j(-1)?
3
Let v(m) = -7*m + 20. Let q be ((-8)/(-20))/((-1)/15). Suppose 37 = 5*j - 8. Calculate the remainder when v(q) is divided by j.
8
Let h = -1 + 2. Let m = 30 + h. Calculate the remainder when m is divided by 8.
7
Suppose 5*p + 0*p = -2*m + 8, -2*m + 2 = 2*p. Suppose r + 3*h - 19 = 0, -2*r + p*h + 70 = -0. Let o = -19 + 35. What is the remainder when r is divided by o?
15
Let a(r) = -r**3 - r**2 + 7*r + 7. Let q(z) = 2*z**2 - 2. Let l be q(-2). Calculate the remainder when a(-4) is divided by l/(-15)*(-1 + -34).
13
Let m = 7 - -75. Suppose -m = -2*w - 30. What is the remainder when 76 is divided by w?
24
Let k = -41 + 52. Calculate the remainder when k is divided by (-2)/7 - (-37)/7.
1
Let d = -88 - -127. Suppose -21 = -2*t - 3*q + 5, -3*t + 3*q = -d. Calculate the remainder when 77 is divided by t.
12
Let m(o) = o**3 - 3*o**2 + 2*o + 19. What is the remainder when m(6) is divided by 47?
45
Let d(f) = -f**3 + 4*f + 5. Let c be d(4). Let i = c + 71. Calculate the remainder when i is divided by 15.
13
Let z(c) = 4*c - 1. Suppose -3*a = -12, -2*d - 3*a = -4*d + 6. Suppose 3*k = -6 - 3, -d = 3*b + 4*k. Calculate the remainder when 3 is divided by z(b).
0
Let n(d) = 4*d + 70. Calculate the remainder when 258 is divided by n(-11).
24
Suppose 319 = 5*q - 251. Suppose -2*f + 4*u = -116, 2*u = -4*f + 68 + q. What is the remainder when f is divided by 7?
6
Suppose 5*s - 56 + 1 = 0. Let b(g) = 2*g**3 + 53*g**2 - 165*g + 4. Calculate the remainder when b(3) is divided by s.
7
Suppose 5*g - 41 = -6. Suppose 5*f - 12 + g = 0. What is the remainder when 26 is divided by f + (4 - -3) + 1?
8
Suppose m - 3*p = 2*p - 14, -14 = -5*m + 4*p. Suppose -2*l + m = l. Suppose 0 = -l*c + 19 + 51. What is the remainder when 68 is divided by c?
33
Suppose 4*r = 6*r + 2*q - 16, 0 = -2*r + q + 7. Suppose -11*s + r*s = -102. What is the remainder when 33 is divided by s?
16
Suppose 3*n + 138 = -3*y, 0 = 2*n - 3 + 1. Let s = 105 + y. Calculate the remainder when s is divided by 30.
28
Let r = 68 - 66. Suppose 0 = f - 4*d + 5, 4*f - r*f - 35 = -d. Let t = 73 - 46. Calculate the remainder when t is divided by f.
12
Let s = -105 + 126. What is the remainder when 49 is divided by s?
7
Let x = -8 - -23. Suppose j = b + 2*j - 1, 3*b = -2*j + 8. Suppose y = -a + 11, a - b*a + 2*y + 34 = 0. What is the remainder when x is divided by a?
7
Suppose 0 = 2*a - 9 + 3. Let n(f) = 8*f + 1. Suppose 134 = k - 4*h, -3*k + 6*h = 2*h - 378. What is the remainder when k is divided by n(a)?
22
Let u(r) = -r**3 + 5*r**2. Let w be u(5). Suppose -3*j + 6 = w, -f + 2 = -2*j - 7. Calculate the remainder when 47 is divided by f.
8
Suppose -6*z + 1 = -7*z. Calculate the remainder when 26 is divided by (0 - -3) + 5 - z.
8
Suppose -v + 20 = -2*o - 0*o, -90 = -5*v + 5*o. Let h = 8 - -20. What is the remainder when h is divided by v?
12
Suppose -5*a + 20 = -a. Suppose -2*w = -5*v - 2, 3*w - 2*v - 45 = -a*v. What is the remainder when 26 is divided by w?
4
Suppose 5 = -2*a + 77. Let i = 44 - a. What is the remainder when 19 is divided by i?
3
Let j(k) = -k**3 - 8*k**2 - 9*k + 26. Calculate the remainder when j(-9) is divided by 48.
44
Let d(w) be the third derivative of -w**6/40 + w**5/20 + w**4/6 - 8*w**2. What is the remainder when (2/(-5))/(3/(-405)) is divided by d(-2)?
26
Suppose -2*y - 253*b = -251*b - 342, 2*y - 324 = 4*b. Calculate the remainder when 513 is divided by y.
9
Let g(f) be the third derivative of 7*f**4/6 - 15*f**3/2 + 40*f**2. What is the remainder when g(9) is divided by 42?
39
Let n = -100 + 277. Calculate the remainder when n is divided by 18.
15
Let j = 26 - -38. Suppose 245*a - 243*a - 66 = 0. What is the remainder when j is divided by a?
31
Suppose -40 = -5*n + 60. Suppose 0 = -3*s - 2 + n. What is the remainder when 35 is divided by s?
5
Let q(r) = r**3 + r**2 + 7*r - 17. Suppose -29 = -f + 2. Calculate the remainder when q(4) is divided by f.
29
Suppose 0 = -o - 3*z + 13, 2*z + 35 = 37. Let i = -17 - -35. What is the remainder when i is divided by o?
8
Let f(j) = 8*j**2 - j + 1. Let v(h) = -3*h**3 + 3*h**2 + 4*h - 6. Suppose 7*y + 9 = 4*y. What is the remainder when v(y) is divided by f(2)?
28
Suppose 3*c = c + 142. Suppose r + 5*h = 5*r - c, -5*r + 85 = -5*h. Calculate the remainder when 83 is divided by r.
13
Suppose -25*z + 87 = 12. Let d(s) = -s**2 + 6*s - 3. Calculate the remainder when d(4) is divided by z.
2
Let p = -3 + 4. Let f = p - -4. Suppose -5*y + f = -5. What is the remainder when y is divided by 2?
0
Let p(w) be the second derivative of 4/3*w**3 + 0 - 7/2*w**2 - 3*w - 7/12*w**4 + 1/20*w**5. What is the remainder when 14 is divided by p(6)?
4
Suppose 2*u = 4*u - 226. Let h = 7517 + -7488. Calculate the remainder when u is divided by h.
26
Let t be -33*(1 + 10/(-6)). Let l(p) = -p**3 + 9*p**2 + 25*p - 3. Let u be l(11). Let d = u - t. Calculate the remainder when 14 is divided by d.
6
Suppose -5*u + 0*u = -25. Calculate the remainder when 99 is divided by u.
4
Let h(u) = u**3 - 20*u**2 - 20*u - 22. Let z be h(21). What is the remainder when 44 + 5 + -5 + z*1 is divided by 17?
9
Let n be (8/12)/(8/60). Suppose -3*o - 145 = -n*v, -2*o = 14 - 4. Calculate the remainder when 127 is divided by v.
23
Let z = -520 - -532. Calculate the remainder when 679 is divided by z.
7
Let c(m) = m + 69. What is the remainder when c(14) is divided by 118/24*3 - (-6)/(-8)?
13
Suppose -4*s = -50 - 50. Suppose 29*o - s*o - 116 = 0. What is the remainder when 84 is divided by o?
26
Let n = -735 + 748. What is the remainder when 58 is divided by n?
6
Let j(p) = -2*p**3
|
{
"pile_set_name": "DM Mathematics"
}
|
for l.
1
Let t(n) = -16*n - 1. Let i be t(-1). Suppose -z - 10 = -2*z. Let m = z - 7. Solve -m*h - i = -0*h for h.
-5
Suppose 0 = 64*m - 60*m - 32. Solve -v = v - m for v.
4
Let b(z) = -2*z**3 + 7*z**2 - 5*z + 4. Let f(h) = 3*h**3 - 7*h**2 + 4*h - 4. Let a(c) = 4*b(c) + 3*f(c). Let x be a(-8). Solve -i - x = i for i.
-2
Let n(a) = -a**3 - 6*a**2 + 8*a + 10. Let y be n(-7). Suppose y*p - r + 6*r - 10 = 0, -4*r = -8. Let i = -8 - -12. Solve i*l = -p*l - 16 for l.
-4
Suppose 0 = -3*v - 14 + 14. Solve v*w + 2*w + 6 = 0 for w.
-3
Let o(s) = s**2 + 2*s - 4. Let h(p) = p. Let n(b) = -2*h(b) + o(b). Let z be n(3). Suppose -4*i - a + 0 + 4 = 0, -8 = 2*i - 2*a. Solve i*j = -z*j for j.
0
Suppose 2*y = -5*y. Solve -2*o = -y*o for o.
0
Let w(p) = -11*p**3 - p**2 - 2*p - 1. Let h = -3 - -3. Suppose h = -0*j + 5*j + 5. Let c be w(j). Solve 3*t + c = -4 for t.
-5
Suppose -b + 10*b = 4*b. Solve -2*c + b*c = 2 for c.
-1
Let u be 2/(-15) - 2/(-15). Suppose -18 = -4*a - 2*l, u*a = -5*a + 2*l + 18. Suppose a = 2*v - 6. Solve h + v = -0*h for h.
-5
Suppose 0 = -6*z + 8*z. Solve o - 2*o = z for o.
0
Let a be (-3)/(-5) - 4/(-10). Let w be (-6)/(a - 2) + -2. Suppose -w*r = 6*b - 4*b - 12, 0 = 2*r + 2*b - 6. Solve r*o + o = 0 for o.
0
Let o(r) = r - 2. Let c be o(4). Suppose 5*l + c*y + 26 = 0, -l - 10 = 5*y - 3*y. Let p be (l - -2) + 4 + -1. Solve p = m - 4 for m.
5
Let g = 20 - 20. Solve g*f - 12 = -3*f for f.
4
Let d be 2/(-3) + (-2)/6. Suppose 0*w = 3*l - 2*w + 4, 0 = -3*l + 4*w - 2. Let b be d + (5 - 2) - l. Solve -o = b*o + 5 for o.
-1
Let i(j) = j**2 + 9*j - 7. Let v be i(-10). Solve -v*w - 10 = -8*w for w.
2
Let h be 67/5 - 8/20. Suppose 2*m = 4*q - 4, 0 = 4*m + q + 45 - 10. Let k = h + m. Solve w + 1 - k = 0 for w.
4
Let k(c) be the second derivative of c**5/20 + c**4/4 + c**3/2 + c**2/2 + 3*c. Let f be k(-2). Let u = 0 - f. Solve 0 = q + 3 + u for q.
-4
Let w be ((-51)/(-68))/((-1)/(-4)). Solve 2*m + w*m + 5 = 0 for m.
-1
Suppose 0 = -t + 5*t + 4*l + 12, 3*t = 4*l + 19. Let x(r) = r - 2. Let h be x(6). Solve h = d + t for d.
3
Suppose 0*t - 2 = -t. Suppose -t*s - 5 - 3 = -q, -4*q + 5*s + 26 = 0. Let n = q + 11. Solve -n = -2*m - m for m.
5
Let k(t) = 3*t**2 + 3*t + 3. Let j be k(-2). Suppose 5*a = 5, -54 - 29 = -3*r + 4*a. Suppose -2*y + 9 = y - d, 5*y + 3*d = r. Solve -j*v + y*v = 5 for v.
-1
Suppose 6 = 3*c - 9. Suppose -c*d - 41 = 2*a, 6 + 11 = a - 5*d. Let v be a/20 + (-24)/(-10). Solve -v*k = 2 + 6 for k.
-4
Let h be ((-3)/(-2))/((-5)/(-10)). Let p be 1/3 - (-2)/h. Solve 8 = 3*s - p for s.
3
Suppose 47 + 16 = 9*m. Solve -2*a + m*a = 15 for a.
3
Let a(v) = -v**3 - 6*v**2 - 6*v - 3. Let x be a(-5). Solve -7*h + x*h = 15 for h.
-3
Suppose -i = 4*z - 13, 0 = -2*z + 2 + 2. Suppose -m - 6 = 4*s, -2*s = i*m + 3*s. Solve -4*w + m*w = 8 for w.
-4
Suppose -16 - 12 = -5*p - 3*r, p - r - 4 = 0. Suppose p*f = -0*f. Solve 0 = -3*n - f - 9 for n.
-3
Suppose -s + 3*s - 13 = u, 3 = -u. Suppose 14 = -s*c + 54. Solve c = f - 5*f for f.
-2
Suppose 15 = 4*q + q. Solve 0 = -2*g - q*g + 5 for g.
1
Let p(o) = -2*o**3 + o**3 - 8 + 9*o + 0*o + 6*o**2. Let g be p(7). Solve 0 = -2*c - 2 - g for c.
-4
Let u(l) = -l**2 - 4*l + 6. Suppose 5*c - 31 = z, 5*z - 2*c - 6 + 46 = 0. Let k be u(z). Let r = -4 - k. Solve 0 = -r*h - 8 - 0 for h.
-4
Suppose x - 2 = 2*l - 5, -4*l = 2*x + 6. Solve l = -5*s + 3 + 2 for s.
1
Let j be (12/(-24))/(1/(-24)). Solve 2*g = -g - j for g.
-4
Let k be (6/3)/(4/6). Suppose -19 = -4*l - 3*d, -k*d - 5 = -0*l - 2*l. Suppose -s + 5*s - 62 = 2*v, 0 = 5*s - l*v - 76. Solve 4*j + s = -0 for j.
-4
Suppose 4*t - 4 = 8. Let s = t - -12. Solve -5 + s = 5*l for l.
2
Let n = 46 + -44. Solve -3*t + n - 11 = 0 for t.
-3
Let y(v) = -2*v + 1. Let w be y(-1). Let n be 18/10 + w/15. Let m = 3 + 1. Solve n*s = m*s - 4 for s.
2
Let z(n) = -8*n**3 - 4*n - 3. Let f be z(-2). Suppose -2*b - f = -5*w, 0*w + 18 = w + b. Suppose 5*l - w = v + 2, 5*v + 13 = l. Solve 2*x = -l*x + 20 for x.
4
Let k be 0/2 + -2 + 6. Solve -k*z - z = -15 for z.
3
Let n = 56 + -50. Solve -3*m = -n*m + 9 for m.
3
Suppose 6 = 3*a - 3. Suppose -2*c + 11 = a. Solve -c + 0 = -o for o.
4
Let f(j) = -3*j**3 - 3*j**2 - 3*j. Let k be f(-2). Let c be (k/3)/(4/10). Solve 8*v - 3*v + c = 0 for v.
-3
Let x be 4/6 - 32/(-24) - 0. Let g be 94/18 + 2/(-9). Suppose -g*z + 7 + 3 = 0. Solve x = z*j - 0 for j.
1
Let o(g) = -16*g**2 - 2*g + 1. Let l be o(1). Let c = -11 - l. Solve 5*p - 4 - c = 0 for p.
2
Let w = 38 + -59. Let b = w + 11. Let l = b + 17. Solve -4*i + l = -5 for i.
3
Let v be 5/((-2)/(2 + -4)). Suppose 0 = -5*g + 3*f + 28, 16 = -f + v*f. Solve 0 = -c - c + g for c.
4
Let j be (2 - -1)/((-5)/(-5)). Suppose 2*h - 4 = -4*l + 20, -j*l = -4*h + 15. Solve -r + h*r = -15 for r.
-3
Let p be ((-24)/(-20))/((-6)/40). Let i = -4 - p. Suppose 8 = i*s - 2*s. Solve 25 = s*o + 5 for o.
5
Suppose -25 = -5*p - 5*o, 0*o = -2*o + 6. Suppose 2*n - 2*y + 0 = -6, p*y = -n. Let u be n/(-8) - (-94)/8. Solve -4*x - u = -7*x for x.
4
Let v be (-2 - -1)/(3/(-18)). Solve -5*w - 4 = v for w.
-2
Let x be (-3)/9 + 1/3. Suppose -2*d + 7*d - 10 = x. Suppose -d*h = -5*h + 6. Solve -h*p = -0*p for p.
0
Let a(j) = -4*j + 1. Let y be a(-1). Let q = y + -7. Let m = q + 7. Solve -m*o + 2 = -3 for o.
1
Let u be 1*(0 + -1)*-2. Let c be (-2*u + 3)/(-1). Solve c - 16 = -5*y for y.
3
Let k be 2*-1 - (-48)/12. Suppose -g - 2 = -k*g. Solve -3 = -j - g*j for j.
1
Let a = -9 + 9. Suppose u + 0 - 6 = a. Solve 2*i - u - 4 = 0 for i.
5
Let z be 10/(-75) + 64/30. Solve b = -z*b + 6 for b.
2
Let n(o) = o**3 - o**2 + 5. Let i be n(0). Suppose -19 - i = -2*p. Suppose 5*x - 2*l = p, -x = 3*x + l - 7. Solve -x*r = -5*r for r.
0
Let z(n) = -n**3 + 13*n**2 + 4. Let j be z(13). Solve 12 = j*x - x for x.
4
Suppose x + 32 = -3*x. Let r(q) = -q**3 - 8*q**2 - 4*q - 4. Let u be r(x). Suppose -u - 12 = -2*t. Solve s + 3*s = -t for s.
-5
Suppose 0 = -3*x + 5*x - 8. Suppose 4*t + x*i - 16 = 0, -t + 20 = t - 4*i. Suppose k + 2*u - t = -2, -12 = -2*k - 2*u. Solve 4*q = -0 + k for q.
2
Suppose -3*n = u + 12, -3 = -0*u - 3*u + 4*n. Let c(a) = 3*a**2 + 8*a + 2. Let r be c(u). Solve -r*b + 7 = -3 for b.
2
Suppose -2*q - 118 = -3*u - 0*u, 5*u + 3*q - 184 = 0. Suppose -8 = 5*t - u. Solve 0 = 4*s - t*s + 8 for s.
4
Let y(a) = a. Let u(v) = 3*v**2 - 2*v - 1. Let p be u(-1). Let m be y(p). Let x be (-8)/(-36) + 4/(-18). Solve x = -m*h - 5 + 17 for h.
3
Let k = 13 + -10. Solve 6*u - k = 5*u for u.
3
Let m(v) = -v**2 - 15*v - 16. Let d be m(-11). Solve -4*x - 8 + d = 0 for x.
5
Let x be ((-20)/(-25))/((-1)/(-5)). Solve -x = -4*r - 24 for r.
-5
Suppose -3*o = -9*o + 204. Suppose k + 3*q = 11, 2*q + 4 = -k + 13. Suppose 3*m + 2*m = 3*f - o, -k*m - 40 = -5*f. Solve f*g + 7 = -2 for g.
-3
Let x be (-8)/12*(-3 + 0). Suppose 2*p = -x*p + 8. Solve -2*c - p*c = 20 for c.
-5
Suppose -2 + 5 = 2*l - n, -l + 6 = 4*n. Suppose l*r + r + 4*f - 188 = 0, r - 60 = -4*f. Let c be 16/(-40) - r/(-10). Solve -j = j - c for j.
3
Let l = -10 + 12. Solve -l*o - o + 6 = 0 for o.
2
Let x(b) = -b**3 - 2*b + 2. Let k be x(0). Solve 6*j = 8*j + k for j.
-1
Suppose 8*k + 1 = 10*k + n, -9 = -3*k + n. Let x be (4/6)/((-4)/(-18)). Solve -c + k = -x for c.
5
Let n be 4/1 - 20/10. Suppose 4*t = 18 - n. Solve t*w = 2*w for w.
0
Let q(l) = l**3 - 13*l**2 + 4. Let u be q(13). Solve u*c + 4 = -0 for c.
-1
Let n(v) be the second derivative of v**4/6 + v**3/3 + 3*v. Let i be n(-2). Solve i = z - 0*z for z.
4
Let o = -15 - -14. Let b be 0/(o - (-4 + 2)). Let r(c) = 2*c**2 - 2*c + 4. Let s be r(3). Solve 5*t - t + s = b for t.
-4
Suppose 5*i - 23 + 8 = 0. Suppose f + 0*f + 4*v = 25, i*v = 9. Let h be (-4)/(-1) + (0 - 1). Solve -h = -4*m + f for m.
4
Let i(q) = 0*q - 5 + q + 18. Let x be i(-11). Suppose t = x + 3. Solve j = 1 - t for j.
-4
Let v be 7/(42/4)*-9. Let l be (-3)/v - (-9)/2. Solve -l*i + 0 - 25 = 0 for i.
-5
Suppose 5*k - 5 = u + 6, 3*u = -k + 15. Suppose 2*d - k*h + 1 = 20, -5*d - h = -22. Suppose 2*w = 3*w - 2. Solve d*g + w = -3 for g.
-1
Suppose -7*n = 4*u - 2*n - 5, 3*u - 3 = -3*n. Solve u*i = 2*i - 2 for i.
1
Suppose -q = 4*q - 25. Suppose 2*w + 7 - 2 = -f, -4*w = q*f + 1. Suppose 0 = s + n - 1 - 6, 27 = 5*s + f*n. Solve v - s = -8 for v.
-5
Suppose 0 = -3*l + 3*h - 3, -4*l + 41 = -0*l + 5*h. Solve l*g + 3 + 9 =
|
{
"pile_set_name": "DM Mathematics"
}
|
e form q*k + l*k**2 + f and give f.
16
Express 10*n + 3*n - 136564*n**2 + 136598*n**2 in the form l + a*n + x*n**2 and give x.
34
Express 256*x + 2 - x**2 - 345*x - 221*x as c*x + d + r*x**2 and give d.
2
Express 107980 + 1147*x - 107980 as r*x + f and give r.
1147
Express -9616 + 506 + p + 4996 in the form i*p + m and give i.
1
Rearrange (-1040 + 1040 + 76*a)*(169*a**2 + 37*a**3 - 169*a**2) to the form g*a**3 + i*a**4 + f*a + l*a**2 + k and give i.
2812
Express (-z - 3*z + z - z**3)*(-13208 + 13208 - 682*z) in the form g*z**4 + r*z**2 + b + p*z + v*z**3 and give r.
2046
Express 9*r**2 + 36*r**2 - 2 - 43*r**3 + 11*r - 21*r + 38*r**3 + 9*r in the form f*r + i + o*r**2 + v*r**3 and give f.
-1
Express ((5 - 3 - 4)*(0 + 2 + 2) + (0 - 6 - 1)*(-2 - 3 + 6))*(1 - 1 - f + (-2*f + 2*f - 2*f)*(-3 + 0 + 1)) as h + s*f and give s.
-45
Rearrange (29 + 3 + 41 + 44 - 26)*(14 + 29*m**2 - 14) - 4*m**2 + 2*m**2 - 4*m**2 to the form y*m + x*m**2 + t and give x.
2633
Rearrange -y - y + 50*y**2 + 40*y**2 - 27*y**2 - 11 to the form i + x*y + v*y**2 and give i.
-11
Express (200*q**3 - 376*q**3 - 1025*q**3)*(3 - 6 + 9) in the form o*q + x*q**2 + h + m*q**3 and give x.
0
Express -479 - 27*r + 479 - r + r + r + (-2*r - 2 + 2)*(3 - 1 + 10) as f*r + z and give f.
-50
Rearrange 1217365*t + 177*t**2 - 1217364*t + 1 + 289*t**2 to the form n*t + s + h*t**2 and give n.
1
Express (2 + 0 - 3)*(3*b - 6*b + b) + b - 2 + 2 + 3*b - b + 0*b + 2885*b - 778*b + 858*b as x*b + z and give x.
2970
Rearrange (20*r - 103 + 103)*(r + 2*r - r) - 3*r**2 + r**2 - 2*r**2 + (r - 2*r - r)*(-2*r - 2*r + 3*r) to the form p + c*r + b*r**2 and give b.
38
Rearrange (6 + 10*z - 6 - 4*z + 5*z - 2*z + (-3 + 3 - 1)*(0*z + z + z))*(-36 - 6007*z - 7474*z + 36 - 1759*z) to the form h + u*z + n*z**2 and give n.
-106680
Express (2*p + 0 + 0)*(-p**2 - 6*p**2 + 5*p**2) - 2*p**2 - 86*p**3 - 17*p**3 + 1187*p + 97*p**3 in the form c*p**2 + l + y*p + g*p**3 and give y.
1187
Rearrange j**2 - 3*j + 3*j + (2*j**2 - 5*j**2 - 3*j**2)*(882 - 553 - 654) to the form d + q*j + w*j**2 and give q.
0
Express -252120 + 0*t + 250972 - 2*t**2 + 0*t as h*t + u + f*t**2 and give u.
-1148
Express (-1 - 6 + 4)*(15 + 2 + 14 + d)*((0 + 0 + 5*d)*(-3*d + 6*d - d) + (-4 + d + 4)*(-1 + 1 - 2*d)) in the form t*d**3 + b + p*d**2 + l*d and give p.
-744
Express 141183*i**3 + i**4 - 15*i**2 + i - 141182*i**3 + 54*i**2 in the form m*i**2 + n + a*i + l*i**4 + r*i**3 and give a.
1
Express (o**2 - 5*o**2 + 5*o**2)*(13 + 69 + 45 + (5 - 5 + 2)*(1 + 5 - 2)) as n*o + m + p*o**2 and give p.
135
Rearrange (-45485*x**4 + 206*x**2 + 94*x**3 + 3457*x**4 - 94*x**3 - 206*x**2)*(3 - 1 + 0) to the form f*x + q*x**3 + u + w*x**4 + y*x**2 and give w.
-84056
Express 64 - 1950*h - 78*h - 64 in the form u*h + z and give u.
-2028
Express (71 - 71 + 32*a)*(132 - 249 + 134 - 6*a) as u*a**2 + o*a + x and give o.
544
Rearrange (-2*w**2 - 1 + 1)*(208*w + 220*w - 422*w - 5)*(-5 - 3 + 2) to k*w + z*w**3 + l*w**2 + y and give y.
0
Express -2*h**4 - 11776*h**2 + h**3 - 2*h + 11342*h**2 + 0*h**3 - 2 + 3*h**4 in the form y*h**3 + z + o*h**4 + s*h**2 + m*h and give o.
1
Express 8*j**2 + j + 9*j**2 - 58*j - 25*j**2 + 115*j + 3 in the form t*j + x*j**2 + a and give t.
58
Express ((-2*r + 1 - 1)*(3 + 5 - 1) + (-1 + r + 1)*(5 - 2 - 2))*(-5 + 11 - 26)*(9*r - 10 + 10) + 0*r**2 + 2*r**2 - r**2 as b*r + j*r**2 + y and give j.
2341
Express (2 + 0 + 0)*(-15*r**2 + 168474*r - 387*r**2 - 168474*r) as p + n*r + f*r**2 and give f.
-804
Rearrange 140*q**2 - 212*q**4 - 49*q**2 - 46*q**2 - 245 - 44*q**2 + 236 to the form u + y*q + n*q**3 + r*q**2 + j*q**4 and give u.
-9
Express (l + 1 - 1)*(0 - 2 + 1)*(-158 + 332 - 148 + (2 - 6 + 0)*(5 - 2 - 4)) as a*l + c and give a.
-30
Express -1582*v**2 - 1575*v**2 - 1578*v**2 - 194 + 4733*v**2 + 2556 + 2*v in the form z*v**2 + k*v + y and give k.
2
Express (-u + 0*u - u)*(84 + 90 + 16052) as i*u + x and give x.
0
Rearrange -10189*s**2 + 121085 + 121090 - 242175 to q*s**2 + f + o*s and give q.
-10189
Rearrange ((0 + 3 - 1)*(2 + 2 - 1)*(4 - 8 - 2) + 4 - 4 - 2)*(-23 - 9*v + 23) to the form n + z*v and give z.
342
Express -k**2 + 80*k**3 - 94*k - 29*k + 76*k**3 + 78*k**3 + 2*k**4 - 235*k**3 + 1 as i + r*k**4 + c*k**2 + v*k + g*k**3 and give v.
-123
Rearrange -2*d**2 - 28*d**3 + 5*d**2 - 51 + 52 to the form b*d + l*d**3 + x + n*d**2 and give n.
3
Rearrange 7 - 10 - 7338*q**2 - 3*q + 7340*q**2 - 43*q**3 - 47*q**3 to the form k + f*q**2 + w*q**3 + z*q and give z.
-3
Express (741*u**3 + 617*u**3 + 580*u**3)*(-4*u + 5*u + u) as h*u**4 + k*u**2 + d + i*u**3 + t*u and give h.
3876
Rearrange (2 - 7*n - 2*n + 0)*(12174*n - 12174*n + 784*n**2) to the form p*n + q + u*n**3 + x*n**2 and give x.
1568
Rearrange -321*c + 2825*c + 692*c + 396*c to the form n + s*c and give s.
3592
Express (-538*d - 112*d - 7*d)*(57 - 23 - 2*d - 26) as g + k*d**2 + m*d and give k.
1314
Rearrange -81*v - 1037 - 78*v - 85*v - 85*v + 331*v to g + d*v and give d.
2
Rearrange -d + 0*d - 3*d + (-3 + 4 - 4)*(-2*d + 2*d + 3*d) + 0*d + 4*d - 3*d + 7*d + 3*d - 3*d to y*d + n and give y.
-5
Express o**3 + 25*o**4 - 54*o**4 + 1 - 2*o + 3*o**2 + 24*o**4 - 2*o**3 as g*o**4 + b*o**3 + j + c*o**2 + p*o and give j.
1
Express -79*m**2 + 291*m**2 - 87*m**2 - m**3 - 79*m**2 - 68*m**2 - 5*m in the form q*m**2 + x*m + v*m**3 + l and give x.
-5
Rearrange 1449 + 1449 - 4348 + 1450 + 19216*x to z + i*x and give i.
19216
Rearrange -7303*o - 318*o - 7250*o + 273*o to the form g*o + i and give g.
-14598
Rearrange (1 - 1 + 2*s + (0 - s + 0)*(-2 + 2 - 2) + 387*s - 74*s + 135*s + 424*s)*(0 - 12 + 5 - 2*s**2) to the form m*s**2 + b*s + f*s**3 + a and give f.
-1752
Express -3497*f**3 - 71 + f + f - 3*f**4 + f**4 + 3493*f**3 in the form q*f**4 + s*f**2 + u*f**3 + m + x*f and give m.
-71
Express 6126*z - 6126*z - 684*z**3 + (2*z + 4 - 4)*(2*z**2 + 2*z**2 - 5*z**2) in the form p*z**3 + g*z**2 + a + n*z and give p.
-686
Express 119*k**3 - 18 - 121*k**3 + k**4 - 11 + 77*k**3 in the form l*k**2 + i*k**4 + p*k**3 + s + v*k and give p.
75
Express ((-z - 8*z + 4*z)*(2 - 2 + z) + ((-2*z + 3*z - 2*z)*(-2 + 4*z + 2) - 4*z**2 - z**2 + 4*z**2)*(3 - 1 + 3))*(-2 - 7 - 5) as d*z + n*z**2 + v and give n.
420
Express (37*j - 2394 - 2390 + 4782)*(11*j - 10*j + 11*j) in the form l*j + r + i*j**2 and give i.
444
Rearrange -2*b**2 + 8*b**3 - 9*b**3 + 0*b**2 + 3826*b - 2*b**4 - 3825*b - 33 to a*b + s + c*b**2 + u*b**4 + m*b**3 and give s.
-33
Express 109*s**4 - 56*s**4 + 206*s**3 - 340*s + 1 - 204*s**3 - 55*s**4 as n*s**2 + o*s**3 + j*s + p*s**4 + q and give o.
2
Rearrange -6*z**3 + 4058 + 589 + 4*z**3 + 0*z**3 + 945 to h*z**2 + l + d*z + x*z**3 and give h.
0
Express 8*k**3 + k**4 - 92*k**3 - 64*k**3 + 0*k**2 - 3*k**2 in the form i*k**2 + v + t*k**4 + c*k + y*k**3 and give t.
1
Rearrange -22 - 16480*l - 3738*l - 12 + 34 to i*l + s and give i.
-20218
Express (-3*k - 9*k - 6*k)*(26*k - 1430 + 1430) + 1 - 1 + 4*k**2 in the form b*k + q*k**2 + u and give q.
-464
Rearrange -23*f**2 - 3*f - 19 - 9 + 2*f + 23 to the form a*f + n + v*f**2 and give n.
-5
Rearrange -48*h**3 + 2*h**2 + 26*h**3 + 2*h + 25*h**3 + 3 + (-3*h**2 + h**2 - h**2)*(14*h + 4*h + 25*h) to the form i*h + o + v*h**2 + w*h**3 and give o.
3
Express (4889 + 1873 + 3686 + (0 - 1 + 0)*(3 - 6 + 2))*(0*v**2 - 2*v**4 + 0*v**2) as u*v**4 + y*v**3 + j*v + l + h*v**2 and give j.
0
Rearrange 26*c**2 + 22*c**2 + 0 - 336*c**2 - 110*c**2 - 3 to d*c**2 + q*c + a and give a.
-3
Express (3*b + 2*b**2 + 1 - 8*b**2 + 5*b**2)*((-3 - 4 + 4)*(5*b - 2*b - b) + (7*b + 22 - 22)*(-2 + 1 + 3)) as h*b + j*b**2 + i + w*b**3 and give j.
24
Express -335*o + 796*o + 1015*o + 289*o as t*o + g and give t.
1765
Express 689 + t + 2*t + 4*t - 6*t - 2*t in the form y + z*t and give z.
-1
Express -1229*i**2 - 2091*i**2 - 2*i**3 + 3322*i**2 - 1597*i in the form q*i**2 + d + c*i**3 + x*i and give c.
-2
Express 48784 - 9*o**2 + 75*o - 48784 as d*o**2 + q*o + h and give q.
75
Express u - 10*u**2 - 2*u**2 - 436 + 14*u**2 + 15*u**3 - 5*u**3 as v*u + y*u**2 + t + f*u**3 and give y.
2
Rearrange 3282*a**2 - 2*a**3 + 597 - 234 - 1643*a**2 + a - 1642*a**2 to the form f*a**3 + k*a + c*a**2 + j and give k.
1
Express -4*a**4 + 11*a**4 - 542*a**3 - 2*a**4 - a**4 + a**2 - 3*a**4 + 1 in the form r*a**3 + h*a + x + i*a**2 + l*a**4 and give x.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
be c/((-63)/(-2)) - b/(-9). Solve m*f - 3*f = -15 for f.
5
Suppose 2*g + 58 = 4*t, -3*t + 3*g = -34 - 8. Suppose 0 = -t*d + 9*d. Solve -2*w + d*w + 10 = 0 for w.
5
Let k = 46 + -30. Let w(b) = -b**3 - 15*b**2 + 3. Let o be w(-15). Suppose 4*a + 3*y + 9 = -a, -y = -3*a + o. Solve a = -0*z - 4*z - k for z.
-4
Suppose -2*k - 15 = -7. Let m(f) = -11*f**2 + 24*f - 1. Let h(z) = 2*z**2. Let p(a) = k*h(a) - m(a). Let o be p(8). Solve o - 4 = -s for s.
3
Let r be -2 + 6 - (3 - 3). Suppose q + 8 = 3*q + r*y, -3*q - 2*y = -16. Let t = q + 0. Solve t*u - 4 = 2*u for u.
1
Let w be (108/(-84))/((-9)/42). Solve 0 = w*j - 108 + 60 for j.
8
Let g(x) = 2*x + 4. Let j be g(5). Suppose 2*o + 4*m + j = 0, 2*o - 5*m + 28 = -2*o. Let p = o - -11. Solve -q = -p*q - 15 for q.
-5
Suppose 0 = -4*f - 2*j + 152, 193 = 5*f - 954*j + 957*j. Solve 0 = f*b + 2*b - 222 for b.
6
Let c(m) = -m**3 - 12*m**2 - 13*m - 7. Let j be c(-11). Suppose 4*w + 5*n + 13 = 0, 11 = -115*w + 117*w - n. Solve -w*r - 3 = -j for r.
4
Suppose -170 = 3*u - 173. Let c be (-3 + u)/(-10) - 18/(-10). Solve 4*o = c*o for o.
0
Let i(c) = -8*c - 14. Let d = -23 - -21. Let y be i(d). Solve -r = y*r - 6 for r.
2
Let h = 17529 + -17454. Solve -40 = -h*y + 83*y for y.
-5
Let n be 4/(-16)*2*(2 + -2). Let b(s) = -7*s + 7. Let q be b(4). Let f = q + 21. Solve n = -f*h - h for h.
0
Let z(p) = -p + 9. Let l be z(6). Suppose o = -0*w + 5*w - 3, 3*w + l*o + 9 = 0. Let y be -3 + 12/(2 + w). Solve 0 = 2*x - x + y for x.
-3
Suppose p + 0*o + 2*o = 16, -2*p = -4*o - 24. Suppose 84 = 20*s - p*s. Suppose -1 = -3*x + s. Solve x = 3*i - 10 for i.
5
Suppose 45*s - 5*p - 35 = 44*s, 4*p + 28 = -3*s. Solve s = 10*k + 1933 - 2013 for k.
8
Let f(o) = -o**3 - 23*o**2 - 6*o - 89. Let k be f(-23). Solve 159 = k*b + 502 for b.
-7
Suppose 14*a - 44545 + 44503 = 0. Solve -3 + 15 = -a*y for y.
-4
Let n(x) = 82*x + 587. Let l be n(-7). Solve -27*m + 70 = -l*m for m.
5
Let z be 3/(-4) - 3225/(-12). Let q = -265 + z. Solve -p + q = -1 for p.
4
Let o(v) = -v**3 - 7*v**2 - v - 5. Let s(u) = -u**2 + 4*u - 2. Let x be (-40)/12*12/(-8). Let w be s(x). Let m be o(w). Solve -m*f = -f for f.
0
Let b be ((-3 - 0) + 18)*855/225. Solve 0 = 25*x - b - 68 for x.
5
Let x be -11*10/(-55)*123. Let a = -19 + 12. Let o be x/21 - 2/a. Solve 5*n = 2*n + o for n.
4
Let r be 165/(-60)*(0 - 60). Solve 158*q - r*q = -35 for q.
5
Let f(c) = -c**2 + 21*c - 40. Let b be f(17). Suppose 5*w + 5 = 0, -6*z = -2*z - 4*w - b. Solve 12*i = z*i for i.
0
Let s be (6/(144/8))/(1/36). Suppose 0 = 30*h - s*h - 378. Solve 4*c + 3*c + h = 0 for c.
-3
Let k(c) = -c - 1. Let y(d) = -3*d**3 - 2*d**2 + 2*d - 1. Let x be y(1). Let s be k(x). Let o be (1 - (s + -5)) + -1. Solve o*a + 0*a = 0 for a.
0
Let o(l) = 3*l**3 - l**2 + 5*l - 12. Let d be o(2). Solve -20*b = -d*b - 6 for b.
3
Let z = -7297 - -7298. Solve -57 = 28*s - z for s.
-2
Suppose 2*k + 10 = 4*w, -10 = 2*w - k + 3*k. Suppose w = -194*u + 205*u - 22. Solve -6*f + 4 + u = 0 for f.
1
Let d be (-7 - -61)*30/20. Solve 0 = 5*x - 56 + d for x.
-5
Suppose 5*w - 902 = -3*r, 0 = 4*r - 3*w + 6*w - 1210. Suppose -17*o - 2*o + r = 0. Solve -o*g + 20*g = 0 for g.
0
Suppose 2*w + g = 1, 63*w + 2*g = 68*w + 2. Solve w = -12*l - 10 - 26 for l.
-3
Suppose 3*p + h - 4 = 0, -4*p + 8*p - 4*h - 32 = 0. Solve 0 = -p*g + 6*g - 6 for g.
2
Let w(a) be the first derivative of -a**3/3 - 7*a**2/2 + 3*a - 3. Let d be w(-7). Let s(q) = -66*q + 1718. Let c be s(26). Solve d*b = c*b - 3 for b.
-3
Suppose 4*a = 3*a + 3. Let l be (-1)/a - (-76)/12 - -3. Suppose -l = -15*g + 21. Solve g*c - 3*c = 5 for c.
-5
Let r(n) = -n + 8. Let j be r(3). Suppose -k = -j*x + 13, 2*k + 2*x - 2 - 8 = 0. Suppose -b + 2*w - k = 1, -4*w = 4*b - 24. Solve -b*c - 16 = -1 for c.
-5
Suppose -12*t = -17*t - 70. Let o be (-46)/t - (-6)/(-21). Solve -o*g = -5*g + 6 for g.
3
Let b be -158*(-2)/(-14)*(-91)/(-26). Let n = b + 52. Let d = n - -32. Solve -5*k + d = 20 for k.
-3
Suppose -4*z = -3*y + 28, -18*z + 14*z + y - 28 = 0. Let d be (2 - 3) + (-3 - z). Solve v = -d + 7 for v.
4
Let l(a) = -378*a + 2315. Let f be l(6). Solve 41*x = f*x for x.
0
Suppose 0 = -3*y + 4*k - 2*k + 17, -2*y + 4*k + 14 = 0. Let h = -287 + 291. Solve -y*s = -h*s for s.
0
Let k(m) = -57*m + 1162. Let w be k(20). Solve 8 = 30*l - w for l.
1
Suppose 204 = -0*t - 19*t + 6797. Solve -t*b + 328*b = -133 for b.
7
Suppose 4*i = 5*i - 2*i. Suppose i*y = -3*y + 9. Suppose 5*p = m - 21, -2*p - 7 = -2*m + y*m. Solve -3*h + 2 + m = 0 for h.
1
Suppose -71*v + 135*v - 512 = 0. Solve 0 = -v*r - 37 + 5 for r.
-4
Let p = 592 + -575. Suppose b + p = 5*a - 0, -3*b + 9 = 5*a. Solve -2*v + 10 = a*v for v.
2
Let v(g) = g**3 + 3*g**2 - 3*g. Let p be v(-4). Let z be 26/22 - p/(-22). Suppose -8 = -9*o + 5*o. Solve o = i - z for i.
3
Let a be (-5)/((-20)/256) - 2. Let y = a - 34. Suppose 3*o + h + 3*h = y, -4*o + 4*h = 0. Solve d = o*d - 3 for d.
1
Let c = -7207 + 7211. Solve 0 = -2*h - c*h - h for h.
0
Suppose -2*g + 5*k + 52 = 36, -g + 5*k - 2 = 0. Solve -g*d = -42*d - 120 for d.
-5
Suppose -141 = 4*n - 4*g - 173, -2*g = 4*n - 56. Solve 62*r - 66*r - n = 0 for r.
-3
Let m be (-1 - 32)/(3/3). Let q = 71 + m. Suppose 3*h - q = -a, 4*a - 99 = h + 40. Solve 15 = -4*d + a for d.
5
Let v = 2168 + -2148. Solve d + v*d = 0 for d.
0
Let g = -182 - -100. Let r = -72 - g. Suppose -r*c - 3*c = -3*c. Solve c = -z - 4*z for z.
0
Let z = 3690 - 3681. Solve -220 = -z*b - 184 for b.
4
Let u(h) = -9*h - 32. Let j be ((-32)/40)/(2/10). Let k be u(j). Suppose -2*o - 4 = -4*o. Solve 3*b - o - k = 0 for b.
2
Suppose -64 = -y - 4*f, -26*f - 104 = -4*y - 23*f. Solve 61 - 317 = y*n for n.
-8
Let p be (-15)/(-360)*-93*-8. Solve -p*y - 141 - 45 = 0 for y.
-6
Let q(a) = 14*a**2 + 233*a - 387. Let r be q(-19). Solve 0 = r*d - 233*d + 28 for d.
-4
Let f(u) = 84*u + 1. Let y(v) = 84*v + 2. Let s(k) = -4*f(k) + 3*y(k). Let p be s(-1). Let r = p + -78. Solve 2 = 5*a - r for a.
2
Let i = -7526 - -7739. Solve 203 = -2*m + i for m.
5
Suppose 2*r = -3*f, -r - 3 + 5 = 2*f. Let w be 1*(12/r + 7). Suppose 2 = 4*x + 2*o, 5*x - 9 = x + 5*o. Solve -6*m + w*m = x for m.
-1
Let u(k) = 3*k**2 - 65*k - 357. Let w be u(-5). Solve w*m + 4*m = -47 for m.
-1
Suppose 0 = -5*h - 4*t + 132, 3*t - 593 + 488 = -4*h. Solve 12*i - 12 = -h for i.
-1
Let q = 59 - 59. Let f be q/(36/8*4/6). Solve 0*z + 2*z = f for z.
0
Let z(s) = -s**3 + 26*s**2 + 231*s + 3. Let u be z(33). Let b = 15 - 6. Solve -u*o - b = 6 for o.
-5
Let m(g) = -g**3 - 5*g**2 - g - 3. Let j be m(-5). Let b be (-99)/4*(-960)/(-90). Let q = b - -267. Solve 5 = q*k + j for k.
1
Suppose 45*j + 788 = 44*j. Let y = 792 + j. Solve -y + 20 = 4*b for b.
4
Let h be (57 + 29 - (5 - 2)) + 7 + 5. Solve -7*u + h = 60 for u.
5
Suppose -5*t + 2 + 8 = 0. Suppose -5*q + t = -4*q. Let g be 2*(2/(-12) + 98/21). Solve q*z + z - g = 0 for z.
3
Let f(y) = y**2 + 7*y + 6. Let g be f(-6). Suppose 3*i - 4 = b, g = -4*b + b - 5*i - 40. Let h(z) = -2*z. Let l be h(b). Solve 0 = -0*n - 4*n - l for n.
-5
Let m be -1*3*8/(-6). Let s = -36118 - -36132. Solve -6*h + s = -m for h.
3
Suppose 0 = 17*w + 3413 - 8394. Solve 0 = 2*z + 289 - w for z.
2
Suppose -57*g + 1974 = -1047. Solve 6*c = -47 + g for c.
1
Suppose 5*c + 5*g - 20 = 0, 2*c - 3*g - 33 = -0*c. Suppose h + 30 = 2*f, h = 5*f + c - 42. Let u = h - -28. Solve u*y + 1 = y for y.
1
Let u(g) = g**3 + 95*g**2 + 1949*g - 39. Let f be u(-65). Solve 0 = -3*d - 20 + f for d.
2
Suppose 0 = 5*a + 6*j - j - 40, 0 = 2*j - 2. Let s(w) = -4*w**2 + 28*w + 7. Let p be s(a). Solve -12 = -i + p*i for i.
-2
Let x be 1 + (-1)/(-2*(-3)/(-6)). Suppose 2*z - 54 = 5*i + 14, 0 = -x*z - i + 68. Suppose -z = 5*u - 54. Solve -2*b - 2 - u = 0 for b.
-3
Let h be ((-208)/6)/(-6*1/9). Suppose -53 = -i - h. Solve i + 11 = -4*q for q.
-3
Let x = -4164 + 4249. Solve -94*w + x*w - 54 = 0 for w.
-6
Let o be (23/3)/((-2)/(-12)). Suppose -3*d - 5*l - 16 = 0, 0 = 5*d - 5*l + 6 - o. Solve d*s - 12 = -6 for s.
2
Let n = -20 - -25. Suppose 7*d - 396 + 368 = 0. Suppose -4*p + 11 = b, -5*p + 0*b - 3*b = -12. Solve -d*m = -p - n for m.
2
Let p(i) = -2*i**2 - 186*i - 853. Let c be p(-88). Solve c*x - 35*x = 32 for x.
-4
Let y be (-14)/1*(20/(-8) + 2). Let f be y + (2 + 1)*8/(-12). Suppose f*l - 5*g = 45, 6*l - 5 = l - 5*g. Solve -6*z = -z + l
|
{
"pile_set_name": "DM Mathematics"
}
|
/5))*q*q/(q/(q**1/q))*(q**(-1)*q)**23*(q**(-1/6)*q*q**3)**(-47) assuming q is positive.
q**(-5417/30)
Simplify ((x*x/(x*x*(x**47*x)/x)*x)/x**(-46))/(x**24*x**(-3/25)) assuming x is positive.
x**(-597/25)
Simplify (((r/(r/((r/(r*r/r**9))/r))*r*r*r**(3/5))**(-3/13))**(-30))**(11/6) assuming r is positive.
r**(1584/13)
Simplify (k/k**(-34)*k*k**24)/(k**(-1/40)/k**(2/5)) assuming k is positive.
k**(2417/40)
Simplify a/((a/(a/(a/a**(1/7)))*a)/a)*a/((a*a/a**(1/6)*a)/a*a)*a**(2/15)*a*a**(-1/3)*(a**12*a/(a/(a/(a/a**0))))**(-19/3) assuming a is positive.
a**(-16147/210)
Simplify (((x**(1/4)/(x**(-48)/x))**(-2/39))**7)**(2/19) assuming x is positive.
x**(-1379/741)
Simplify ((((j/j**(2/3))**(-2))**(-25))**(-17))**15 assuming j is positive.
j**(-4250)
Simplify ((d/(d/(d*(d*d**(-2/5))/d)*d*d*d))/d*d**(-3)*(d/(d**(-2/7)*d*d))**(-38/3))/((d/(d*d**(-2)))**(-6/29))**1 assuming d is positive.
d**(9322/3045)
Simplify ((l*l**(-1/2))**(-18)/(l**(-3/7)*l**(4/11)))**(9/8) assuming l is positive.
l**(-774/77)
Simplify (z**(-1))**(-1/3)/(z/(z**(-4)*z*z)*z**(-2/7))*(z**(-2)*z**(-4))/((z/(z/z**(-2/13)))/z*z**(1/8)) assuming z is positive.
z**(-16057/2184)
Simplify (t*t/(t*t**(3/7))*t**(-2/7)*(t**(-2/9))**(-36))/((((t*t**(1/10)/t)/t)/t)/t**8)**6 assuming t is positive.
t**(2369/35)
Simplify n**(-26)*(n/(n/(n/(n**(2/45)/n))))/n*(n**(23/3)/n*n*n)/(n/(n*n/(n/n**23))) assuming n is positive.
n**(298/45)
Simplify (b/b**0)/b**(2/13)*b*b*b*b*b/(b*b**(3/5))*b*b*b**(2/33)*(b/(b*b*b**(2/7)*b*b*b)*b**(-4))/((b/(b*b**(-2)))/b)**(-11) assuming b is positive.
b**(135451/15015)
Simplify ((j**(2/5))**(-34)*(j/j**(-2/5))**(-1/17))/(j**(-5/3)*j*((j/(j/(j/(j/(j/j**(-3/5))))))/j)/j)**(-3/40) assuming j is positive.
j**(-5849/425)
Simplify ((d/(d**0/d))**32/((d/((d*d**1)/d))/d*d)**28)/(d**3*d/(d*d**(-2)))**9 assuming d is positive.
d**19
Simplify ((t*t**1)/t*(t*t**3*t)/t)/(t*t*t*t**(-1))**40*(t**(-1))**(-28)*(t*t**(-1/3)*t)**(-35) assuming t is positive.
t**(-316/3)
Simplify (d**(-1/2)*d*d*d**(3/5)*d**(4/7)/d**(-5))/(d**(3/5)/d*d**(-1/2)/d*(d/((d/(d/((d**0/d*d)/d)*d))/d))**(2/19)) assuming d is positive.
d**(1217/133)
Simplify ((g*g**(-2/5)*g)**(-4/19)/(g/(g**(1/2)*g)*(g/((g**(-3)*g*g)/g)*g)/g))/(g*g**6/g*g*g/g**(-1/3))**12 assuming g is positive.
g**(-19539/190)
Simplify z*z/z**(-5)*z**1*(z**(-1/3))**20*(z*z/((z/(z/(z**3*z*z*z)))/z))/(z*z/z**(-3/4)*z)*z**(-3/7)*z**(-5) assuming z is positive.
z**(-911/84)
Simplify (b/(b**17*b)*b/b**(6/19)*b)/((b*b*b/b**(-49))/b)**21 assuming b is positive.
b**(-20640/19)
Simplify ((d**0)**(-3/4))**18/((d**(-2/19)/(d*(d/((d*d**(3/2)*d)/d))/d))/(d/(d*d*d*d**0)*d*d)**(-7)) assuming d is positive.
d**(-53/38)
Simplify ((s**3/s)**(3/43))**47/(s**(-1)/s**(-2/19))**(2/63) assuming s is positive.
s**(339016/51471)
Simplify ((u*u**(-5)*u**(-1/10)*u*(u*u**(3/4))/(u**9/u))**(-23/4))**6 assuming u is positive.
u**(12903/40)
Simplify ((w*w**(-5)*w**(5/3)/w)/((w*w**2*w*w*w)/((w/((w/w**(2/7))/w*w))/w)))/((w**(-1/4))**(-42)*(w**(-1))**(-21)) assuming w is positive.
w**(-1745/42)
Simplify ((((((t/(t**(-1/4)/t))/t)/t)/t)**(2/41)/(t/(t*t**(1/3)))**(-26))**(-1/9))**(-18) assuming t is positive.
t**(-2141/123)
Simplify (((u**(3/5)*u*u**(5/3))**(2/25))**(2/13))**41 assuming u is positive.
u**(8036/4875)
Simplify ((b**2)**(10/9)/(b**(-2)/b)**(-3))/((b/((b**(-1/4)/b*b)/b))**(-41)/(b/b**4*b*b**(-4/7))) assuming b is positive.
b**(20891/252)
Simplify (r/r**(-8)*r**8*(r*r*r/(r/(r*r**(4/3)))*r)**(-2/117))**(-23) assuming r is positive.
r**(-136505/351)
Simplify ((n*n*n**(3/22))/n**8*n**(-7)/(n/n**(3/31)))**6 assuming n is positive.
n**(-28167/341)
Simplify (g/(g/g**8)*g/((g/g**(-1/7))/g)*g/(g/g**(-8))*g*g*g/(g**(-4)/g))/((g/(g/g**3))**5)**38 assuming g is positive.
g**(-3928/7)
Simplify (i**2*i)**(-36)*i**(-1/4)/(i**(1/6)/i*i*i)*(i/(i/i**(6/11)))/i*i**(-7)*(i**(-1/2))**(-30) assuming i is positive.
i**(-13447/132)
Simplify (t**(-4)*t*t**(-2/7))/(t/t**(1/2))**(-6/17)*((t*t**(-1)/t)/((t*t/t**(-3))/t))/(t*t*t**(-2)*t)**(-13/4) assuming t is positive.
t**(-2313/476)
Simplify ((h**1/h*h)**(-36)*h**2/(h*h**(-4/9)*h))/((h*h*h**(-4))/h**(-8))**(-5/6) assuming h is positive.
h**(-275/9)
Simplify ((n**7*n**4/n*n)/(n*n/(n*(n*n**(4/7))/n)*n/(n/(n*n**(-7)))))/((n/(n/(n*((n/(n**(2/5)*n))/n)/n)))**(-2/171)*(n*n**(-2))**25) assuming n is positive.
n**(248707/5985)
Simplify (y/(y*y/(y/y**(1/31))))**(23/3)*y/(y/y**(5/9))*y*y**35*y assuming y is positive.
y**(10409/279)
Simplify ((x*x**4)/x**7*x**1*x**(-3/7))/((x**1/((x**(-8)*x*x)/x))/(x/(x*x**1))**(10/7)) assuming x is positive.
x**(-76/7)
Simplify (a**(-4)/(((a/(a**(-9)/a))/a)/a))/(a/a**(-1)*a/a**(2/7))*(((a**(-4)/a*a)/a)**36)**16 assuming a is positive.
a**(-20270/7)
Simplify ((a**(-1/2)/a*a**5*a*a*(a**(-2)*a)/(a/a**(-1/7)*a*a))**47)**(-1/9) assuming a is positive.
a**(-893/126)
Simplify (b*b**9*b*b**(2/13))**(-2/61)/((b**6/(b*b/((b*b*b**(1/5)*b)/b)))/((b*b/b**(2/5))/(((b/b**(-4))/b)/b))) assuming b is positive.
b**(-31584/3965)
Simplify (f*f/f**(-8)*f*f*(f/(f**(-2/7)*f))/f)**(-5/13)/((f*f**(-2/3))**(-18)*(f**7*f)/(f*f/f**(-2/13)*f)) assuming f is positive.
f**(-290/91)
Simplify ((s/(s**(-2/7)/s)*s)**(-10/11)/(s*s*s/((s**1*s)/s))**(11/4))/(s**8*s*s**(-2/21))**(-25) assuming s is positive.
s**(98929/462)
Simplify ((b**(2/5)/(b**2*b*b))/(b*b**(2/11)*b*b/b**3))/(b/(b/(b/b**(5/6)))*b*b*b**(-2/7)/b*b*(b**4*b*b)/b**(2/7)) assuming b is positive.
b**(-26281/2310)
Simplify ((m**(1/48)*m)/(m/(m/(m/(m*m**2))*m))*(m**(3/16))**(-3/13))**(8/3) assuming m is positive.
m**(1241/117)
Simplify ((q**(10/13)/q**18)/(q**(-4/11))**22)**21 assuming q is positive.
q**(-2520/13)
Simplify ((t**(2/3))**(-2/119))**(-1/2)/(((t*t**(-7)*t)/t**3)/((t/t**(-8))/(t*t/((t*(t**(-5)*t)/t)/t)))) assuming t is positive.
t**(3572/357)
Simplify ((c**(3/5)/c*c**(-5))/(c*c/c**(-2/9))**30)**28 assuming c is positive.
c**(-30268/15)
Simplify ((x**(-2/23)/x**13)/((x/(x/((x/(x**(-7)*x))/x)))/x**14))**(-44) assuming x is positive.
x**(5148/23)
Simplify (q/((q/q**2)/q)*q*q**8*((q/(q*q*q/(q*q**(-1/3)/q*q)*q))/q)**37)**(-1/15) assuming q is positive.
q**(334/45)
Simplify (q**(3/8)*q/((q/((q**(-4)*q)/q))/q))**(-3/25)/(q/q**(1/4)*(q*(q**(-3/4)*q)/q)/q)**40 assuming q is positive.
q**(63/200)
Simplify ((((f*f*f**22*f)/f)/(f/(f**(15/7)*f)))/(f/(f*f**(2/67)))**(-1/42))**(-8/9) assuming f is positive.
f**(-294256/12663)
Simplify (y**28*y*y*(y*y**(-11/4))/y*(y/y**(1/24)*y)**(-46))**13 assuming y is positive.
y**(-4901/6)
Simplify (((j*j/((j*j*j/(((j/j**(-1/5))/j)/j))/j))/j)/j*j**8)**48*(j/(j/j**(-2/7)))**(-30)*j*j/(j**(1/3)/j)*j*j/j**(1/4) assuming j is positive.
j**(110287/420)
Simplify (u**(1/3))**(14/9)/((((u*u**(-1/10))/u)/u)/(u/u**(2/9)))*(u**(-3)*u*u**(-4/7)/u*u)/((u*u**(-2/7)/u)/u)**(-20) assuming u is positive.
u**(-48931/1890)
Simplify (j**(-3/5)/(j*j*j/j**(-2)))**(-2)/((j**(1/4)*j*j**(2/3)*j*j)/((j/j**(-3/5)*j)/(((j**(-1/3)/j)/j)/j))) assuming j is positive.
j**(793/60)
Simplify ((f/(f**1/f))**(-26/7)*(f*f**(-6))/f*f*f**(-1/2))/((f**(-2/5)*f*(f*f*f**(-2/15)*f)/f)/(f**2*f*f*f**(4/9))) assuming f is positive.
f**(-4559/630)
Simplify (q*(q*q**50*q)/q*q**(14/3))/(q**(-3/28)*q**(-19)*q) assuming q is positive.
q**(6281/84)
Simplify ((((k*k**(-1/5))/k*k)**(2/15)*(k*k/k**(-1/4))**(-33))**(-3/17))**(2/43) assuming k is positive.
k**(22243/36550)
Simplify ((o/(o**8/o))/(o*o**(-5/7))*(o**(-6)/o)/o**(7/5))**(-48) assuming o is positive.
o**(24672/35)
Simplify (h**12*(h*h/(h/(h*h/(h/((h*h*h**(-9)*h*h*h*h*h*h*h)/h)))))/h*h*h**(-3)/(h/h**(-3/11)))**(-27/2) assuming h is positive.
h**(-1296/11)
Simplify (((b**(-4/13)/b**(-2))/((b*b/(b/(b/(b/((b**(-3/5)*b*b)/b*b))*b))*b)/b**(-12/11)))**(2/81))**(-16/9) assuming b is positive.
b**(86912/521235)
Simplify (u**(6/13)/u**0*(u**(-4/5))**(-1/7))**(-48) assuming u is positive.
u**(-12576/455)
Simplify (((k*k**(-5/13)/k*k)/k**(-2/39))**(-1/38))**(-39) assuming k is positive.
k**(13/19)
Simplify (t**(1/5)*t**(1/3))/((t**(1/2)*t)/t**(-2/5))*(t**1)**(8/21)*(t/t**(-4))/(t*t/(t**1*t)) assuming t is positive.
t**(281/70)
Simplify (z*z/(z*(z/z**(-4))/z*z*z)*z*z/(z*z**(2/7)))**42*(z**4*z)/z**(-7)*z**(-3/10)*z*z**7 assuming z is positive.
z**(-1603/10)
Simplify ((q*q*(q**12*q)/q*q)/q**(-11))**31*(((q*q**(-11)*q)/q)/q**(-9))**(2/11) assuming q is positive.
q**(8864/11)
Simpli
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{
"pile_set_name": "DM Mathematics"
}
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t 1/2*p**2 - 425*p + 180625/2 = 0. Calculate p.
425
Let w(n) be the first derivative of -5*n**6/168 + n**5/28 - n**4/56 - 43*n**3/3 + n - 12. Let b(k) be the third derivative of w(k). Let b(q) = 0. What is q?
1/5
Let r be (-398)/((-546)/(-66) + -7). Let j = r - -313. Solve j*w**5 + 0 + 0*w**3 + 0*w + 6/7*w**4 - 8/7*w**2 = 0 for w.
-2, 0, 1
What is a in -1260*a + 12*a**5 - 150*a**3 - 537*a + 423*a - 1089*a**2 + 60*a**4 - 504 + 21*a**4 = 0?
-7, -2, -1, -3/4, 4
Let q(l) be the third derivative of -l**7/735 + 11*l**6/60 + 81*l**5/35 + 247*l**4/21 + 664*l**3/21 - 4*l**2 - 892*l. Determine c so that q(c) = 0.
-2, 83
Let z(s) be the first derivative of -4*s**3/3 + 13*s**2/3 + 100*s/3 + 1600. Factor z(u).
-2*(u + 2)*(6*u - 25)/3
Factor 238545/7*h + 243*h**2 - 731025/7 + 3/7*h**3.
3*(h - 3)*(h + 285)**2/7
Suppose -12*i - 1/2*i**2 + 585/2 = 0. What is i?
-39, 15
Let x(h) be the second derivative of -h**5/10 - 73*h**4 - 15691*h**3 + 195364*h**2 + 1767*h - 1. Factor x(k).
-2*(k - 4)*(k + 221)**2
Suppose -2*f + j = -64, 14*j = -3*f + 16*j + 95. Suppose -15*w - f = -48. Suppose 2*x**2 + 8/3*x - 1/3*x**4 + 0*x**3 + w = 0. What is x?
-1, 3
Suppose 4*q + 60 = -44. Let w = q + 32. What is j in 0 + 9 - 3*j**2 - w = 0?
-1, 1
Suppose -2*a + 4*i = 938, -5*a + 5*i + 772 = 3117. Let h = a + 4225/9. Factor -14/9*u - 10/9*u**2 - h.
-2*(u + 1)*(5*u + 2)/9
Let u(n) = -n + 3. Let y be u(1). Suppose -5*b = y*s - 8, -16*s + 12*s = -2*b + 8. Factor 1/4*l**3 - l - 1/4*l**4 + l**b + 0.
-l*(l - 2)*(l - 1)*(l + 2)/4
Let c be -7 - (4/(-1 - -3))/(-1). Let j(b) = 31*b - 56 - 12*b**2 - 12*b - 67*b. Let q(o) = -8*o**2 - 32*o - 37. Let s(v) = c*j(v) + 8*q(v). Factor s(k).
-4*(k + 2)**2
Let v be (3886/232 - (1 + 6/8))*4. Let k(f) be the first derivative of 4/3*f**3 + 900*f + v*f**2 - 38. Factor k(q).
4*(q + 15)**2
Let k(d) be the third derivative of d**9/20160 + d**8/1120 + d**7/168 + d**6/60 - d**4 + 3*d**2 + 5*d. Let i(t) be the second derivative of k(t). Factor i(v).
3*v*(v + 2)**2*(v + 4)/4
Let f(u) be the second derivative of -1/130*u**5 + 0 - 77*u - 79507/13*u**2 - 43/26*u**4 - 1849/13*u**3. Factor f(v).
-2*(v + 43)**3/13
Find d such that -6*d**2 - 20*d**2 + 41*d**2 - 204*d - 138*d - 13*d**2 = 0.
0, 171
Let x(c) be the second derivative of -c**5/50 - 7*c**4/30 + 224*c**3/15 + 468*c**2/5 - 9*c - 3. Let x(j) = 0. Calculate j.
-18, -2, 13
Let b(v) = 2*v**3 - 4*v**2 - 5*v + 6. Let s be b(4). Suppose 2*x - 64 = -s. Factor x*g**3 - 23 - 31 + 4*g**4 - 9*g - g**4 + 14*g**3 + 39*g**2.
3*(g - 1)*(g + 2)*(g + 3)**2
Suppose 611 = -51*d + 713. Factor 24/7*p + 36/7 + 3/7*p**d.
3*(p + 2)*(p + 6)/7
Suppose -4*a + 76 = 2*m, -6*a + a = -5*m - 125. Solve -24*g**4 - 32*g**3 + 37*g**4 - 4 + 12 - 30*g**2 - a*g**4 + 8*g = 0.
-2, -1/2, 1/2
Let h = 179146/5 - 35826. Let 36*n**3 + 88/5*n**2 + 54/5*n**5 + 0 + 162/5*n**4 + h*n = 0. What is n?
-1, -2/3, 0
Suppose 15*w = -1060 + 1105. Find f, given that -78/5*f**w + 66/5*f**4 + 12/5*f - 14/5*f**5 + 0 + 14/5*f**2 = 0.
-2/7, 0, 1, 3
Let m = 18 + -286. Let c be (-2)/(-3)*(-1206)/m. Factor 10*r**c + 5/3*r**5 + 10/3*r**2 + 5 - 35/3*r - 25/3*r**4.
5*(r - 3)*(r - 1)**3*(r + 1)/3
Let f be ((-520)/2600)/(42/(-15) + 2). Factor -f*k**3 + 3/8*k**2 + 1/2 - 1/8*k**4 + k.
-(k - 2)*(k + 1)**2*(k + 2)/8
Let l(w) be the first derivative of 4*w**3/9 + 380*w**2/3 + 252*w - 1411. Find z, given that l(z) = 0.
-189, -1
Let j(t) be the first derivative of -65*t - 5/3*t**3 - 35*t**2 - 14. Factor j(d).
-5*(d + 1)*(d + 13)
Let k(s) be the first derivative of s**6/6 + 38*s**5/5 + 231*s**4/4 - 90*s**3 - 5903. Factor k(x).
x**2*(x - 1)*(x + 9)*(x + 30)
Suppose 7 = 5*d + 4*i, 5*d - 2*i + 0*i = 19. What is h in -96*h**2 - 7*h**5 + 1300*h - 403*h**3 + 2*h**5 + 100*h**4 + 1000 + 33*h**3 - 194*h**2 - 115*h**d = 0?
-1, 2, 10
Let w(y) = y**3 - 16*y**2 + 32*y + 19. Let t(x) = 2*x**3 - 33*x**2 + 53*x + 38. Let q(r) = 6*t(r) - 10*w(r). Suppose q(p) = 0. Calculate p.
-1, 1, 19
Let c(s) be the third derivative of 28/15*s**4 + 49/75*s**5 + 0*s + 23*s**2 + 2/75*s**6 + 22/15*s**3 + 0. Factor c(n).
4*(n + 1)*(n + 11)*(4*n + 1)/5
Let v(m) = -4*m + 128. Let j be v(32). Suppose -2*p + 6 = 0, -3*a + j*p + 2*p - 6 = 0. Suppose a + 8/9*o - 2/3*o**2 - 2/9*o**3 = 0. What is o?
-4, 0, 1
Let b(h) be the first derivative of -4*h**5/5 - 87*h**4 - 7004*h**3/3 + 12870*h**2 + 32400*h - 369. Factor b(d).
-4*(d - 4)*(d + 1)*(d + 45)**2
Let m(c) be the first derivative of 0*c - 1/16*c**4 + 48 - 3/4*c**2 - 7/12*c**3. Solve m(x) = 0.
-6, -1, 0
Let m(t) = 4*t - 94. Suppose 7*f = 138 + 30. Let w be m(f). Let -3/2*i**5 + 0 + 9/2*i**w - 3/2*i**3 - 9/2*i**4 + 3*i = 0. Calculate i.
-2, -1, 0, 1
Suppose 0 = n - 2*n - g + 5, 4*n + 2*g - 14 = 0. Let m(c) = -c**2 + 3*c - 1. Let z be m(n). Determine l, given that -1 + 15*l**2 + l - 3*l**3 - 13*l + z = 0.
0, 1, 4
Suppose -3*g - 2*u + 112 = 0, 43 = 5*g + u - 132. Let x(z) be the first derivative of 4/3*z**3 + g + 0*z**2 + 0*z. Factor x(a).
4*a**2
Let p(a) be the first derivative of a**6/24 + a**5/15 - 11*a**4/24 + a**3/3 - 73*a**2/2 + 60. Let i(r) be the second derivative of p(r). What is o in i(o) = 0?
-2, 1/5, 1
Let d(g) = 31*g**2 - 99*g + 248. Let b(v) = -440*v**2 + 1385*v - 3475. Let a(s) = -6*b(s) - 85*d(s). Factor a(p).
5*(p - 2)*(p + 23)
Let d(i) be the first derivative of i**5/5 + 17*i**4 + 22*i**3 - 34*i**2 - 67*i - 3647. Let d(u) = 0. What is u?
-67, -1, 1
Let b be -2 + (-7 - -20) + -4. Let w be 3 - (59/b + -6). Factor -2/7*o**4 - w*o**3 + 0*o - 2/7*o**2 + 0.
-2*o**2*(o + 1)**2/7
Let y be (-6772)/(2 + 1 + 918) - -6. Let t = -6/307 - y. Factor -8/3 - 14/3*w + 2/3*w**3 - t*w**2.
2*(w - 4)*(w + 1)**2/3
Let t(y) be the third derivative of 1/24*y**6 + 0 - 55/24*y**4 + 5/6*y**5 - y + 0*y**3 - 11*y**2. Solve t(u) = 0 for u.
-11, 0, 1
Let b be 226/(-3)*(-27)/9. Suppose -190 + m**3 - 111*m**2 - 58*m**3 + 120*m + 12*m**4 + b = 0. What is m?
-2, -1/4, 1, 6
Let t = -7919/91 - -732/13. Let y = 219/7 + t. Determine z, given that y*z - 2/7*z**3 + 0 + 2/7*z**2 = 0.
-1, 0, 2
Factor 68/23*s**3 + 62/23 + 192/23*s**2 + 188/23*s + 2/23*s**4.
2*(s + 1)**3*(s + 31)/23
Let d(q) be the third derivative of -q**5/60 + 43*q**4/24 + 94*q**3/3 - 2*q**2 - 345. Factor d(c).
-(c - 47)*(c + 4)
Let h = -288 + 610. Let u = 322 - h. Factor -2/7*r**5 + 0*r**2 + u + 0*r**4 + 2/7*r**3 + 0*r.
-2*r**3*(r - 1)*(r + 1)/7
Suppose 24*z**2 + 52 + 14 - 66 - 30*z**3 - 24*z**4 + 32*z + 3*z**5 - 5*z = 0. What is z?
-1, 0, 1, 9
Let d(i) be the first derivative of -1/2*i**2 + 4/3*i**3 - 2*i - 1/6*i**6 + 1/2*i**4 + 289 - 2/5*i**5. Determine v, given that d(v) = 0.
-2, -1, 1
Let v(y) be the first derivative of 88 + 0*y**4 + 0*y**2 + 0*y**3 + 4/15*y**5 + 0*y + 2/9*y**6. Factor v(t).
4*t**4*(t + 1)/3
Let h(v) be the first derivative of v**6/150 + v**5/20 + v**4/10 + 59*v + 5. Let p(y) be the first derivative of h(y). Suppose p(k) = 0. What is k?
-3, -2, 0
Let h(t) be the second derivative of -3/2*t**2 + 1/12*t**4 - 18*t + 0*t**3 + 1/120*t**5 + 0. Let b(q) be the first derivative of h(q). Solve b(a) = 0 for a.
-4, 0
Let r(d) be the first derivative of d**6/120 + d**5/10 - 7*d**4/24 + 31*d**2/2 - d + 35. Let z(l) be the second derivative of r(l). Factor z(m).
m*(m - 1)*(m + 7)
Let x(w) be the first derivative of 8*w**3/57 - 591*w**2/19 - 296*w/19 + 433. Solve x(o) = 0 for o.
-1/4, 148
Let c(k) be the first derivative of -k**6/9 + 8*k**5/15 + k**4/3 - 16*k**3/9 - k**2/3 + 8*k/3 - 733. Solve c(z) = 0 for z.
-1, 1, 4
Let k(o) be the third derivative of -o**6/660 + 62*o**5/165 - 11*o**4/12 - 82*o**3/11 - 4*o**2 - 125*o. Solve k(c) = 0 for c.
-1, 2, 123
Let s = 3458 + -3452. Let r(f) be the second derivative of 0 - 1/4*f**4 + 1/3*f**3 - s*f + 0*f**2 + 1/20*f**5. Factor r(i).
i*(i - 2)*(i - 1)
Let w be -2 + 11 + (-40)/(-5) + 5. Let u(j) be the second derivative of -50*j**4 - 40*j**2 - 25/4*j**5 + w*j - 70*j**3 + 0. Factor u(p).
-5*(p + 4)*(5*p + 2)**2
Let a be (1 + 5/(-3))*(-51 - (-1575)/30) - -4. Suppose 4 + 1/2*s**2 + a*s = 0. Calculate s.
-4, -2
Find w such that -66/17*w + 216/17 - 2/17*w**2 = 0.
-36, 3
Let d(g) = 807*g + 219506. Let a be d(-272). Let 3/7*l**2 + 19/7*l - a = 0. Calculate l.
-7, 2/3
Let b(i) = 13*i. Let m(u) = u**2 + 31*u + 16. Let q(z) = -3*b(z) + m(z). What is o in q(o) = 0?
4
Let u be (0 - 1/11) + (-3 - (-392)/77)
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.3, 31224, -228, 1 in increasing order.
-228, -0.3, 1, 31224
Sort 7, 16/123, -0.4, -27, -3, 2/3 in ascending order.
-27, -3, -0.4, 16/123, 2/3, 7
Sort 3, -295, -3542 in descending order.
3, -295, -3542
Sort -114, -784, 9, -3 in decreasing order.
9, -3, -114, -784
Sort 6, 10, 79, 154 in descending order.
154, 79, 10, 6
Sort -4, -10, 2, -321, -3, 4.
-321, -10, -4, -3, 2, 4
Put 7638, -2, -6081 in decreasing order.
7638, -2, -6081
Put 5.77, -59/8, 6.49 in increasing order.
-59/8, 5.77, 6.49
Sort 9, -132, -7, 4, 399 in descending order.
399, 9, 4, -7, -132
Sort 8, -3/8, 1, -40, -1/3176, -1.
-40, -1, -3/8, -1/3176, 1, 8
Sort 124, 39, 4, -352, 5 in decreasing order.
124, 39, 5, 4, -352
Put 78, 0, -134 in decreasing order.
78, 0, -134
Put 0.5, -581, 8461 in ascending order.
-581, 0.5, 8461
Sort 6, 4, -4, -1451, -3, 209.
-1451, -4, -3, 4, 6, 209
Sort -4, -3/4, 0.5, -5619/2, -1/2 in descending order.
0.5, -1/2, -3/4, -4, -5619/2
Put -183, -5, -6, -11858 in decreasing order.
-5, -6, -183, -11858
Sort -1802/57, -0.4, -0.3, 2/7.
-1802/57, -0.4, -0.3, 2/7
Sort 13296, -0.4, 213/2.
-0.4, 213/2, 13296
Put 0.2, 4/9, 692, 1/3, 3/2, -9893 in increasing order.
-9893, 0.2, 1/3, 4/9, 3/2, 692
Put 4, -3, 1, 41, -1537 in descending order.
41, 4, 1, -3, -1537
Sort -3, 228/2135, 3, 0.2, 1.
-3, 228/2135, 0.2, 1, 3
Sort 2, -913, -2, 53, 3, -4, 8 in descending order.
53, 8, 3, 2, -2, -4, -913
Sort -4, -34, 8, 0, 1, -5, 14.
-34, -5, -4, 0, 1, 8, 14
Put 28, -1, 3, 1, -5, 2374 in increasing order.
-5, -1, 1, 3, 28, 2374
Put 8, -0.81, -0.24, -20/7 in decreasing order.
8, -0.24, -0.81, -20/7
Sort 1, -13799, 0, -10, 5 in increasing order.
-13799, -10, 0, 1, 5
Sort 39, -2330, 4.
-2330, 4, 39
Sort 3, -304387937, -3 in ascending order.
-304387937, -3, 3
Sort -1192, -2, -1, -44, -5, 10.
-1192, -44, -5, -2, -1, 10
Sort -5, -1/101, -51, 0, -0.1, 0.02 in descending order.
0.02, 0, -1/101, -0.1, -5, -51
Put 56, -73, -4, -3, 0, -67, -1 in decreasing order.
56, 0, -1, -3, -4, -67, -73
Sort -248, -1, -42, 6 in decreasing order.
6, -1, -42, -248
Sort 0.7, 0.1, 60, 7, 0.3, -2/3, 3 in decreasing order.
60, 7, 3, 0.7, 0.3, 0.1, -2/3
Sort -83/420, -29, -0.3, -1/3, 7/4 in increasing order.
-29, -1/3, -0.3, -83/420, 7/4
Sort -19978, -8, 70.
-19978, -8, 70
Sort 5, -2930, 879, 0 in ascending order.
-2930, 0, 5, 879
Put 20, 2/93, 0, 0.02, 0.1 in decreasing order.
20, 0.1, 2/93, 0.02, 0
Sort 4, -26, 4004, -27 in increasing order.
-27, -26, 4, 4004
Sort -3, -9, 64.4733.
-9, -3, 64.4733
Sort 5, -13, -2, 0, -323 in increasing order.
-323, -13, -2, 0, 5
Sort -5/36, 369, -1/2, 12, -0.3 in descending order.
369, 12, -5/36, -0.3, -1/2
Sort -3, -5, -5588, 10, 3, 5.
-5588, -5, -3, 3, 5, 10
Sort 5595, -5, 160, 1, 0 in decreasing order.
5595, 160, 1, 0, -5
Put 5, -5, 3, 23, 55971, 1 in descending order.
55971, 23, 5, 3, 1, -5
Sort 3, -2, 2, 29, 1, -272 in increasing order.
-272, -2, 1, 2, 3, 29
Put -1/2, -2, 5, -0.3, 2, 4/9 in increasing order.
-2, -1/2, -0.3, 4/9, 2, 5
Put 5, 0, 1/4, -4, -63712, -0.5 in ascending order.
-63712, -4, -0.5, 0, 1/4, 5
Put -4, -11, 0.1, 339, 2, 44 in decreasing order.
339, 44, 2, 0.1, -4, -11
Put -0.3, -5, -0.4, -17298, 0, 5 in increasing order.
-17298, -5, -0.4, -0.3, 0, 5
Put 2, -3, 15, 4, -1, -600, 28 in descending order.
28, 15, 4, 2, -1, -3, -600
Sort 2356136, -5, 1, -4 in ascending order.
-5, -4, 1, 2356136
Put -3, 2, 5, -117, 15, -4, 116 in increasing order.
-117, -4, -3, 2, 5, 15, 116
Put 1, -0.033, -3/4, 0, 6, -27/55 in descending order.
6, 1, 0, -0.033, -27/55, -3/4
Sort -5, 6621/7, 328.
-5, 328, 6621/7
Put 0.01, 27091/19, -1/6 in increasing order.
-1/6, 0.01, 27091/19
Sort 15, 5, -213, 3, 0 in decreasing order.
15, 5, 3, 0, -213
Put -1, 5, 0, -325, 6, 44 in descending order.
44, 6, 5, 0, -1, -325
Sort 472, 2, 1219.
2, 472, 1219
Sort 846, -6, 15, -5 in decreasing order.
846, 15, -5, -6
Sort 501, 3, -61434 in descending order.
501, 3, -61434
Sort -360, 0.2, 0, 0.8, -1.29 in increasing order.
-360, -1.29, 0, 0.2, 0.8
Sort 0.4, 3, 8, -2, 5/51, 1, -26 in increasing order.
-26, -2, 5/51, 0.4, 1, 3, 8
Sort -309, 22, -3098.
-3098, -309, 22
Put 198, -11, 21, -5, -3 in descending order.
198, 21, -3, -5, -11
Put -1, -3, 223, 1108 in ascending order.
-3, -1, 223, 1108
Put 0.08, -2/5, -0.11, -37175 in descending order.
0.08, -0.11, -2/5, -37175
Put 5, 15, 0.2723, -2, 9 in decreasing order.
15, 9, 5, 0.2723, -2
Put 10018, -2, 4728 in increasing order.
-2, 4728, 10018
Sort 1239, 28, 1, -1 in decreasing order.
1239, 28, 1, -1
Sort 12, -4, -1, 5, 2351, -59 in increasing order.
-59, -4, -1, 5, 12, 2351
Sort 402, 0, 11663, 4 in descending order.
11663, 402, 4, 0
Put 3/4, -1/2, 5, 205, -71, -4 in decreasing order.
205, 5, 3/4, -1/2, -4, -71
Sort 4, -9, 2, -1, 72441 in increasing order.
-9, -1, 2, 4, 72441
Put -46, -3/5, 0.068, -0.09, -49 in decreasing order.
0.068, -0.09, -3/5, -46, -49
Put 0.5, -32282, 4, -0.1 in decreasing order.
4, 0.5, -0.1, -32282
Sort 2, 1256, -7, 0, 3 in ascending order.
-7, 0, 2, 3, 1256
Put 1472, -545, 56 in decreasing order.
1472, 56, -545
Sort -3, -1764, 20 in ascending order.
-1764, -3, 20
Sort -294, -1, 1, -0.3, -2/49, 9/10 in increasing order.
-294, -1, -0.3, -2/49, 9/10, 1
Put -1, 3, 60217, 55 in decreasing order.
60217, 55, 3, -1
Put -4, -34, -37, 2, 5, 1, -8 in increasing order.
-37, -34, -8, -4, 1, 2, 5
Put 329255, 5, -2, 9 in ascending order.
-2, 5, 9, 329255
Sort -0.267, 2/9, -123/2 in ascending order.
-123/2, -0.267, 2/9
Sort 16, 3, -5, -1852, -24.
-1852, -24, -5, 3, 16
Sort 4, -8460, -325, -6 in descending order.
4, -6, -325, -8460
Sort -0.6, 899.5, -148.
-148, -0.6, 899.5
Put -133, -79, -40/7, -1, -1/3 in decreasing order.
-1/3, -1, -40/7, -79, -133
Sort -2/7, -1, 34, -30, 5/6, 0.4 in descending order.
34, 5/6, 0.4, -2/7, -1, -30
Sort -625, 2, -5, 3, 4, 14, -2.
-625, -5, -2, 2, 3, 4, 14
Put 2, -2, 5, -170 in increasing order.
-170, -2, 2, 5
Sort -6, 17985, 29, -1 in increasing order.
-6, -1, 29, 17985
Put 1, 319457, 0, 3 in descending order.
319457, 3, 1, 0
Sort 4, -9/668, -24/11 in descending order.
4, -9/668, -24/11
Put -1, -3, 2, 323, 0, -6, -282 in ascending order.
-282, -6, -3, -1, 0, 2, 323
Sort -306, 919616, -1/4.
-306, -1/4, 919616
Sort 213, 4, -4/5, -4.2, 0.3 in descending order.
213, 4, 0.3, -4/5, -4.2
Sort -133, -1/10, 5, -0.02, 1.17.
-133, -1/10, -0.02, 1.17, 5
Put -45, 773, 216, 1 in descending order.
773, 216, 1, -45
Put -1075, -0.1, -0.2, 2, -4, 0.1 in descending order.
2, 0.1, -0.1, -0.2, -4, -1075
Sort 27, 4, -222, 301.
-222, 4, 27, 301
Put 11, 23440, 3, 5, 2 in decreasing order.
23440, 11, 5, 3, 2
Sort -1, -2062, -3, 2, -403 in decreasing order.
2, -1, -3, -403, -2062
Put 3/68, 0.1, -5, 27, 1, 12, -2/5 in decreasing order.
27, 12, 1, 0.1, 3/68, -2/5, -5
Sort -5, 2, 0, 645252.
-5, 0, 2, 645252
Sort 732, -783, 1.
-783, 1, 732
Sort 0.39, -7.1, -0.5, -29.5, 2 in ascending order.
-29.5, -7.1, -0.5, 0.39, 2
Sort -123.6, 2, 1, 4/3, 0.1787.
-123.6, 0.1787, 1, 4/3, 2
Sort 3, 0, 366, -14511.
-14511, 0, 3, 366
Put -158, 0, -4, 1, 116 in descending order.
116, 1, 0, -4, -158
Sort 0.053, 411, -31 in increasing order.
-31, 0.053, 411
Put -2138370, -3, 0 in ascending order.
-2138370, -3, 0
Put -1, 8, -81, 3, -10, 131 in decreasing order.
131, 8, 3, -1, -10, -81
Sort -76, 4, 10, 2, 1, 175, -3 in ascending order.
-76, -3, 1, 2, 4, 10, 175
Sort -3, -5, 65, -2, 114, 0, -106 in decreasing order.
114, 65, 0, -2, -3, -5, -106
Sort 0.07088, -13, 1/82.
-13, 1/82, 0.07088
Sort -2, -14, 5101, 54 in descending order.
5101, 54, -2, -14
Put -5, 4, 0, 1, -1823, -4, 36 in descending order.
36, 4, 1, 0, -4, -5, -1823
Put -161, 2, 5, 6, -6, 77, 3 in decreasing order.
77, 6, 5, 3, 2, -6, -161
Sort -0.3, -3, 0, 256897 in decreasing order.
256897, 0, -0.3, -3
Put -1, -32308, -2303 in decreasing order.
-1, -2303, -32308
Put -2, -4, 2, 5/2681 in ascending order.
-4, -2, 5/2681, 2
Sort 148, 10, 627, -41.
-41, 10, 148, 627
Sort -4, 11417, -1, -3, 1, 5 in ascending order.
-4, -3, -1, 1, 5, 11417
Put 50, 4, -307.64 in decreasing order.
50, 4, -307.64
Put -140, 1, 0.1, 0, 287/330 in ascending order.
-140, 0, 0.1, 287/330, 1
Sort -19, 1299, 3, 1, -98.
-98, -19, 1, 3, 1299
Put 46308982, 3, -4, -1 in increasing order.
-4, -1, 3, 46308982
Sort -22, -47, -2, 3514 in decreas
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{
"pile_set_name": "DM Mathematics"
}
|
d. Let s(h) = 4*h**2 - 2*h + 4. What is d*f(x) + 3*s(x)?
2*x**2 - x + 2
Let s(z) = -z**2 - 1. Let r(c) be the first derivative of -c**4/4 - c**3 + 2*c**2 - c - 119. Determine r(q) - 3*s(q).
-q**3 + 4*q + 2
Let t be 4 - 1/3*(-19 + 22). Suppose -4*z = t*j - 32, -3*z - 2*j = 2*z - 33. Let q(v) = -v**2 - v. Let n(s) = -3*s**2 - 4*s + 2. Give z*q(x) - n(x).
-2*x**2 - x - 2
Let m(f) = -2*f**3 + f**2 - 28*f - 7. Let y(c) = -2*c**3 + c**2 - 26*c - 5. What is 2*m(v) - 3*y(v)?
2*v**3 - v**2 + 22*v + 1
Let y(a) = 6*a. Let n(l) be the first derivative of -5*l**2/2 + 2. Let z = -2 + -2. Let x be 19/(-6) - 23/(-138). Calculate x*y(b) + z*n(b).
2*b
Let b(y) = -5*y + 8. Let t(r) be the second derivative of r**3 - 9*r**2/2 + 48*r. Let i be 58/12 + 5*7/210. Determine i*b(x) + 4*t(x).
-x + 4
Let k(d) = 25*d + 18. Let y(z) = 14*z + 9. Determine 4*k(a) - 7*y(a).
2*a + 9
Let g(c) = c. Let u(p) = -5*p**3 + 7*p - 15. Give -6*g(d) + u(d).
-5*d**3 + d - 15
Let i(d) = 9*d**3 - 2*d**2 + 15. Let m(w) = 38*w**3 - 9*w**2 + 58. Determine 9*i(k) - 2*m(k).
5*k**3 + 19
Suppose -5*a = g + 18, -19 = 5*g - 2*a - 10. Let k(c) = 35 - 38 + 3*c**2 + 2*c - 7*c**2. Let x(i) = 5*i**2 - 3*i + 4. Give g*x(v) - 4*k(v).
v**2 + v
Let h(g) = -1. Let f(m) = 3*m + 8. Let n = -794 - -770. Give n*h(u) - 3*f(u).
-9*u
Let x(g) = -5*g**3 + 6*g**2 - 8*g - 120. Let d(n) = -4*n**3 + 5*n**2 - 7*n - 119. What is -6*d(l) + 5*x(l)?
-l**3 + 2*l + 114
Let t(f) = -44*f - 4. Let i(s) = 129*s + 11. Calculate 3*i(d) + 8*t(d).
35*d + 1
Let a(b) = 3*b - 7. Let x be (-2)/(-8) + 6/8. Let k(h) = -5*h + 2*h + 2*h + 2 + x. Let p be -5 - (2 - 36/3). Calculate p*k(q) + 2*a(q).
q + 1
Let c(n) = -n**3 + n**2 + 3*n + 5. Let k be (-2)/(-4)*(6 + -14). Let r(p) = -8 - 4*p + 0*p - 2*p**2 + 2 + 2*p**3. Give k*c(h) - 3*r(h).
-2*h**3 + 2*h**2 - 2
Suppose 4 = i + i. Let o(p) = 3*p**3 + 2*p**2 - 2. Let t = 88 - 79. Let f(n) = -13*n**3 - 9*n**2 + 9. Calculate i*f(w) + t*o(w).
w**3
Let c(u) = 2*u**2 + 4. Let n(q) = q**2 + 9. Let k(d) = -28 - 21*d**2 + 0*d + 19*d**2 + 0*d. Let y(a) = -2*k(a) - 7*n(a). Determine -10*c(b) - 6*y(b).
-2*b**2 + 2
Let i(n) = -24*n**3 - 7*n**2 - 9*n + 5. Let y(v) = 12*v**3 + 4*v**2 + 5*v - 3. Give -3*i(o) - 5*y(o).
12*o**3 + o**2 + 2*o
Let k(b) = 19*b**2 + 5*b - 12. Let j(a) = -19*a**2 - 4*a + 15. Determine -4*j(q) - 5*k(q).
-19*q**2 - 9*q
Let c(m) = -4*m**2 - 4*m + 2. Let i(d) = -3*d**2 - 3*d + 3. Suppose 10*g = 13*g + 6, -4*g + 7 = -5*x. What is x*i(r) + 2*c(r)?
r**2 + r - 5
Suppose -2 = -7*s - 9. Let l(g) = -3 - 3*g**2 + 0*g - g**2 + g + 3*g**2. Let c(d) = -1. Determine s*l(h) + 3*c(h).
h**2 - h
Let k(v) = -6*v**3 - 22*v**2 + 3*v + 73. Let d(j) = -2*j**3 - 7*j**2 + j + 24. Calculate -7*d(q) + 2*k(q).
2*q**3 + 5*q**2 - q - 22
Let v(r) = r**3 + 2*r**2 - 2*r - 7. Let w(i) = -i**3 - i**2 + i - 1. Determine -v(l) - 2*w(l).
l**3 + 9
Let x(n) = -n**3 + n**2 - n. Let y(t) = 4*t**3 - 5*t**2 - 11*t. Calculate -5*x(b) - y(b).
b**3 + 16*b
Let q(k) = -1. Let x(m) = 312*m**2 - 4. Give -4*q(l) + x(l).
312*l**2
Let o(a) = -22*a**3 + a**2 + 2*a - 2. Let c(q) = 44*q**3 - 2*q**2 - 5*q + 5. What is 2*c(p) + 5*o(p)?
-22*p**3 + p**2
Let b(w) = -2*w**3 - 6*w**2 + 4*w + 6. Let i = -1 - -3. Let g = -233 - -235. Let o(z) = 2*z**3 + 10*z**i - 5*z**g - 6*z + 3*z - 5. Determine -5*b(f) - 6*o(f).
-2*f**3 - 2*f
Let p(d) = 27*d + 166. Let a(g) = -20*g - 111. Give 7*a(m) + 5*p(m).
-5*m + 53
Suppose 0 = -2*c + 1 - 3. Let u(z) be the first derivative of z**3/3 + 26. Let v(h) = h**2 - 1 - 5*h**2 + 0. What is c*v(s) - 5*u(s)?
-s**2 + 1
Let d(q) = -1. Suppose 5*f + 2*h = 7*h, 289 = 4*h + 285. Let b(z) = 4 + 5*z**2 + 2*z - 4*z**2 - 8. Determine f*b(u) - 4*d(u).
u**2 + 2*u
Suppose 25*i + 6 = 26*i. Let z be (-89)/3 - 8/(-12). Let r = z + -4. Let w(d) = -6*d. Let k(t) = -t. Determine i*w(g) + r*k(g).
-3*g
Let l(q) = 6*q - 3. Let y(z) = -3*z + 24. Let p(x) = 10*x - 67. Let n(h) = 4*p(h) + 11*y(h). Suppose 5*c + v = 15, c + 0*v - v = 9. Determine c*l(g) - 3*n(g).
3*g
Let u(i) = -2*i**2 + 4. Let t = -4 + 6. Suppose -2*p + 6*n + 4 = 4*n, -5*p = -3*n - 12. Let o(g) = 2 - 3 - p*g**2 + t + 6. Calculate -4*o(m) + 7*u(m).
-2*m**2
Let o(r) = r**2 + r - 1. Let b(f) = -1554*f**2 - 1295*f + 1295. What is -b(m) - 1295*o(m)?
259*m**2
Let b(m) = -8*m**3 - 9*m**2 + 18*m + 32. Let x(j) = 2*j**3 + 2*j**2 - 4*j - 8. Determine 2*b(o) + 9*x(o).
2*o**3 - 8
Let o(c) = 2*c - 5. Let a = -558 - -559. Let r(f) = -f - 1. Determine a*o(n) - 5*r(n).
7*n
Suppose -3 = -3*g + 5*x + 55, 3*x = g - 26. Let u(s) = -3*s**2 - 24 + 35 + 8*s**2 + g*s. Let m(q) = -q**2 - 2*q - 2. Calculate 33*m(p) + 6*u(p).
-3*p**2
Let s be (-2 + -8)*(-3)/6. Let z(w) = -2*w**3 + 5*w. Let v(i) = -6*i**3 + 16*i. Calculate s*v(f) - 16*z(f).
2*f**3
Let n = -387 - -392. Let s(a) be the third derivative of 5*a**2 - 1/20*a**6 + 0*a**n - 1/24*a**4 + 0 + 0*a + 1/3*a**3. Let x(t) = -t**3. What is s(w) - 5*x(w)?
-w**3 - w + 2
Let k(r) = 7*r + 1. Let p(h) = 18*h + 37. Determine -2*k(l) + p(l).
4*l + 35
Let b(t) = 6*t**2 - 11*t - 33. Let p(q) = q**2 - 2*q - 6. Let c(s) = 2*b(s) - 11*p(s). Let o(k) = -2. Determine 3*c(n) + o(n).
3*n**2 - 2
Let j(r) = 8*r - 81. Let h(p) = -27*p + 240. Calculate 2*h(c) + 7*j(c).
2*c - 87
Let h(m) = -103*m + 1045. Let t(u) = -23*u + 261. Calculate -2*h(s) + 9*t(s).
-s + 259
Let z(c) = -4*c**3 + c**2 + 6*c + 7. Let p be (-64)/(-28) + (-1)/(7/2). Let v(u) = -u**3 + 2*u + 2. Give p*z(t) - 7*v(t).
-t**3 + 2*t**2 - 2*t
Let q(s) = -7*s - 1. Let j(f) = 66*f - 5. Give -j(a) + 5*q(a).
-101*a
Let b(u) = u - 1. Let r(z) = 8*z - 3. Let v(o) = 7*o**2 - 39*o - 17. Let i be v(6). Give i*r(l) - 6*b(l).
2*l + 3
Let a(j) = 29*j + 4. Let r(x) = -2*x - 2. Let d(w) = -a(w) - 6*r(w). Let t(l) = -11*l + 5. What is -5*d(v) + 8*t(v)?
-3*v
Let j(b) = -3*b - 1. Let g be j(4). Let p = 10 - 21. Let i = p - g. Let l(d) = 4*d - 1. Let v(x) = -21*x + 6. Give i*v(u) + 11*l(u).
2*u + 1
Let g(a) = 627*a + 2. Let o(x) = -1254*x - 5. Calculate 9*g(q) + 4*o(q).
627*q - 2
Let w(f) = 6*f**3 - f**2 + 2*f + 4. Suppose 2*t + 3*p + 7 = 0, -3*t - 8 = 4*p - 0*p. Let o(v) = 5*v**3 - v**2 + 2*v + 3. Determine t*o(s) - 3*w(s).
2*s**3 - s**2 + 2*s
Let f(n) = 41*n + 10. Let a(h) = -43*h - 12. Determine 4*a(b) + 5*f(b).
33*b + 2
Let j(b) = -21*b**3 + 19*b**2 + 11*b - 11. Let t(d) = -10*d**3 + 9*d**2 + 6*d - 6. What is -6*j(q) + 11*t(q)?
16*q**3 - 15*q**2
Let i(n) = 5*n - 47. Let t be i(10). Let u be (-2)/6 + 10/t. Let q(a) = 4*a. Let h be (4/(-6))/((-4)/30). Let f(y) = -2*y. What is h*f(b) + u*q(b)?
2*b
Let x be 3 + ((0/(-2))/(-2) - 1). Suppose -3*r = -j + 2, -5*r + x*r - 14 = 2*j. Let m(z) = -2*z + 2. Let d(b) = 3*b - 2. Determine j*m(a) - 3*d(a).
-a - 2
Let h(p) = -p**3 + p**2 + p + 1. Let t(r) = 15*r**3 - 3*r**2 - 8*r - 3. What is -3*h(j) - t(j)?
-12*j**3 + 5*j
Let v(u) = -3*u - 4. Let y(q) be the third derivative of 15*q - 1/2*q**3 - 1/12*q**4 - q**2 + 0. Give -5*v(r) + 7*y(r).
r - 1
Let s(f) = 3*f - 2. Let d(v) = -1990*v + 23 - 68 + 2055*v. What is 2*d(z) - 45*s(z)?
-5*z
Let y(w) = 10*w - 35. Let v(o) = 18*o - 70. Determine -4*v(h) + 7*y(h).
-2*h + 35
Let t(o) = -15. Let m(g) = g + 6. Calculate 2*m(l) + t(l).
2*l - 3
Let h(p) = -8*p + 1. Suppose 4*u + 3*o - 8 = 0, 8*u + o = 6*u + 6. Let f(t) = -7*t + 1. Calculate u*f(d) - 4*h(d).
-3*d + 1
Let i(d) = -20*d**2 - 8. Let b(f) = 10*f**2 + 4. Determine 5*b(u) + 2*i(u).
10*u**2 + 4
Let x(o) = -o**3 - o**2 + o. Let j(m) = 7*m**3 + 6*m**2 - 6*m - 26. Give -j(r) - 6*x(r).
-r**3 + 26
Let u(q) = -2*q + 3. Let n(y) = -y**3 - 8*y**2 - 7*y. Let l be n(-7). Let g(c) = 4 - 4*c + l*c + 2*c. Determine -2*g(i) + 3*u(i).
-2*i + 1
Let s(y) = 1. Let l(t) = t + 1. Let z be l(-3). Let f(o) = -4*o - 1. Determine z*s(w) - f(w).
4*w - 1
Let u(o) = -2. Let j(m) = -9*m**2 - 2*m + 6. Determine -j(p) - 2*u(p).
9*p**2 + 2*p - 2
Let x(u) = -18*u**2 + 7*u + 3. Let k(v) = 3 - 20*v - 2 - 6*v**2 + 42*v - 20*v. Calculate -7*k(z) + 2*x(z).
6*z**2 - 1
Let p(f) = 124*f**2 - 52*f**2 - 32*f**2 + f - 41*f**2. Let x(r) = -2*r**2 + 2*r. Let n be (-6)/((-6)/(-8)*-2). Calculate n*p(s) - x(s).
-2*s**2 + 2*s
Let q(c) = -115*c**2 - 3*c - 9. Let j(x) = -x**2 + x + 3. What is 6*j(p) + 2*q(p)?
-236*p**2
Let s(h) = -142*h**2 + 32. Let n(j) = -28*j**2 + 6. What is -16*n(v) + 3*s(v)?
22*v**2
Let s(r) = 3*r - 26. Let h be s(8). Let p(d) =
|
{
"pile_set_name": "DM Mathematics"
}
|
) 0.2 (c) t
b
Let r = -510/917 - 2/131. What is the closest to 2 in 4, -1, r?
4
Let c be 198/308 - 2/4. What is the closest to 2 in c, -5, 4?
c
Let v = 253 + -258.03. Let m = v + 0.03. Let f = m + 1. Which is the nearest to 0.1? (a) f (b) -0.2 (c) -2/3
b
Let k be (1/2)/(36/24). What is the nearest to k in -2, 3/7, 2/3?
3/7
Let i = 2 - 10. Let x = -8.3 - i. Which is the nearest to -1/4? (a) -4 (b) 4/3 (c) x
c
Let u = -3.98 + 4. Let o = u + -0.32. Let x = 0.1 + o. Which is the closest to 1/2? (a) 4 (b) x (c) -4
b
Let o = 407/15 + -27. Which is the closest to 1? (a) 3 (b) o (c) 5
b
Let i = 47.8 + -48. Let w = 0 - 1. Let y = w + -1. Which is the closest to i? (a) y (b) 1 (c) 2/11
c
Let p = -0.25 - -0.36. Let v = p - 0.01. Which is the nearest to 1? (a) v (b) 0 (c) -0.3
a
Let n = -1 - 1. Let a = 0.73 + 0.17. Let p = a + 0.1. What is the nearest to p in 0.3, n, -2/7?
0.3
Let s be (-27)/21 + (-2)/(-7). Let h = -17/6 - -19/6. Which is the closest to s? (a) h (b) -0.4 (c) -2/13
b
Let x = 23 + -21. Which is the closest to -1? (a) x (b) -1 (c) -3/2
b
Let m be -51*(-4)/(-54) + 4. What is the closest to 1/17 in m, 0, 3?
0
Let o(u) = -u**2 + 7*u + 1. Let r be o(7). Which is the nearest to r? (a) -0.3 (b) -0.4 (c) -3
a
Let v = -1.99 - 0.01. Let p = -0.1 + 0.1. What is the closest to p in -1/5, -2/21, v?
-2/21
Let d = -51 + 46. Which is the nearest to 1/4? (a) -2/5 (b) d (c) 0
c
Let w = 7 + -5. Let q = 0.27 - 0.17. What is the closest to q in w, -0.2, 5?
-0.2
Let i = -0.04 - 1.96. Which is the nearest to 0? (a) 5 (b) -3 (c) i
c
Let n = 6/7 + -31/28. What is the closest to 2/5 in n, 0.3, 2?
0.3
Suppose 0 = a + 4*a + 15. Let l be 0/a + 2/(-7). What is the closest to -0.3 in 2/11, 2/7, l?
l
Let a(t) = t**2 + 6*t - 6. Let k be a(-6). Let y be (1/(3/k))/4. Let h(g) = -g - 2. Let u be h(-3). What is the closest to u in y, -1, -2/3?
y
Let d = 0.26 + -0.47. Let i = d - -0.11. What is the nearest to i in 5, 1/3, -6?
1/3
Let d = 0 + -0.4. What is the closest to 0 in 1, 2/7, d?
2/7
Let x = 9/2 + -85/18. Let c be 5/(-6)*(-4)/(-20). Let z = -1 - -1.4. What is the nearest to x in z, 0.1, c?
c
Let q = 1 - 1.7. Let s = q + 2.7. What is the closest to s in 0, 0.5, 3?
3
Let w = 6.89 - 7. Let x = -4.89 + w. Let y = -4.8 - x. Which is the nearest to -1? (a) y (b) 0.1 (c) -1/5
c
Let m be (8/2)/12 - (-21)/(-9). What is the closest to -1 in m, 1/3, -0.3?
-0.3
Let x = -0.114 + -0.816. Let f = -0.07 + x. Let g be 1 + ((-28)/5)/4. Which is the nearest to g? (a) -4 (b) f (c) 0.5
b
Let t = 0.4 - 1.6. Let i = t - -0.2. Let a = 1.4 + i. What is the nearest to -1 in -1/2, -5/4, a?
-5/4
Let j = 8 - 13. Let p = -4.6 - j. Let o = 2 - 1. Which is the nearest to o? (a) 0.5 (b) 0.2 (c) p
a
Let m be -6*(-40)/336*4/10. Let f = 3.6 - 4. What is the nearest to -0.1 in m, 2/5, f?
f
Suppose 25 = -4*w - 7. Let t be ((-6)/w + -1)*-2. Let p = 3.5 + -2.5. What is the closest to p in t, -5, 2?
t
Let z = 0.14 - -5.86. What is the closest to -1 in -5, 1, z?
1
Let d be 0/((-2)/(-4)*12/(-6)). What is the closest to 0 in -5, 9, d?
d
Let f be (-6)/4 + 8/16. Let k = f - 0. What is the closest to 0 in -1/6, -0.1, k?
-0.1
Let k = -97 - -97. Which is the closest to 0.2? (a) k (b) 2/7 (c) 0.3
b
Let z = -5 - -6. What is the nearest to 0 in z, 2/5, -2/15?
-2/15
Let y = 3 - 3. What is the nearest to y in 4, 0.4, 3/2?
0.4
Let y = -1 - -1. Let f = -0.141 + -0.059. Which is the closest to y? (a) 0.1 (b) f (c) 1/2
a
Let r = 0.24 - 12.24. Let d = -1.5 - -9.5. Let n = r + d. Which is the nearest to 0? (a) -1 (b) n (c) -3
a
Let s(o) = o**2 - 3. Let i be s(0). Which is the closest to -0.1? (a) i (b) 2/7 (c) 0.3
b
Let l = -0.064 + -0.036. Which is the closest to l? (a) -3/2 (b) 6 (c) 3
a
Suppose -3 = -4*u + 5. Suppose -2*p - u = -0. Let v = -1.9 - -0.9. What is the closest to v in -2, 2, p?
p
Let q = -359/2080 + 3/160. Let i = 1 + 0. Which is the closest to i? (a) -1 (b) -4 (c) q
c
Suppose 3*y = -m + 3, -5*m + m + 12 = 3*y. What is the closest to -5 in m, 1, -3?
-3
Let g = 0 + -0.1. Let m be 1/(((-3)/6)/(1/(-6))). Which is the closest to m? (a) -0.2 (b) 5 (c) g
c
Let q = 1.3 - 1. Let p(j) = -j**3 - 6*j**2 + 5*j - 10. Let x be p(-7). Let h = 14/13 + -96/65. What is the closest to h in 1/4, q, x?
1/4
Let y = 69 - 77. Let w = -12 + 8. Let g = y - w. What is the nearest to 0 in g, -0.4, -5?
-0.4
Let z = -0.7 + 0.2. Let b = 9 - 17. Let y = 8 + b. What is the closest to 0 in z, y, 2/19?
y
Let s = 0.36 + 0.04. Let n = -0.02 - 3.98. Let j = -0.1 - -0.2. What is the closest to j in 2, s, n?
s
Let s = -0.088 + 4.088. What is the nearest to -2 in 0, -1/6, s?
-1/6
Let v be (-4 - -2)/((-2)/(-5)). Let t = 2 + 0. Let o = 6.1 - 6. Which is the nearest to o? (a) t (b) v (c) 3
a
Let j = 2.059 - 0.059. Which is the nearest to -1? (a) 3 (b) j (c) 5
b
Let d(p) = 2*p**3 - p**2 + p - 1. Let s be d(1). Let k = -0.05 + 0.35. Let n = 2.7 + k. Which is the nearest to s? (a) -5 (b) 4 (c) n
c
Suppose 0 = g + g. Let c = 951.13 - 956. Let a = 0.13 - c. What is the nearest to g in a, -2/13, -1?
-2/13
Let t = 96 + -56. Let u = t - 161/4. Which is the nearest to 2/5? (a) 3 (b) u (c) -5
b
Let x be (-2)/(-18)*(-6)/(-4). Let r(s) = 23*s + 298. Let o be r(-13). What is the closest to o in x, 0, -4?
0
Let o = -24 - -57. Let b = o - 28. What is the closest to 1 in -5, b, -2/3?
-2/3
Let m = -0.34 + 0.3. Let z = 0.06 - m. Which is the closest to z? (a) 3 (b) -2/7 (c) 0
c
Let w = -68 - -203/3. Which is the nearest to -5? (a) 5 (b) w (c) -3
c
Let v be (8/7)/1 - 1. Let g = -1 + 1.1. Let u(s) = -s**2 + 13*s - 40. Let h be u(8). Which is the closest to 3? (a) h (b) g (c) v
c
Let v = 35/12 - 8/3. What is the nearest to v in 2/5, 2, -0.4?
2/5
Let n = 6 - 5.5. Let f = -0.4 + n. Which is the closest to f? (a) 3 (b) -1 (c) 0.2
c
Suppose -2 - 2 = 2*v. Let c = 98 - 97. What is the nearest to -0.1 in c, v, 1/11?
1/11
Let d = 89 - 85. Which is the closest to -0.1? (a) 1/3 (b) d (c) -3
a
Let i = 1.4 - 5.9. Let y = 1.5 + i. Which is the nearest to 1? (a) 1/5 (b) -0.1 (c) y
a
Let a be (12/20)/((-3)/15). What is the closest to 0.1 in -4, 3, a?
3
Suppose 0*k + 4*k = 64. Let t = k + -11. What is the nearest to 0.1 in t, -2, 4?
-2
Let v = 0.13 + 4.87. Let o = 28 + -23.91. Let x = o + -0.09. What is the closest to 0 in x, -0.1, v?
-0.1
Let p = 31.3 - 30. Let k = p - 1.8. Which is the nearest to -1? (a) -1/4 (b) k (c) -2
b
Let b = -9 + 6. What is the closest to -0.1 in 0.4, b, -0.3?
-0.3
Let t = 1441/3800 - 2/475. Let d = 2.9 - -1.1. Which is the closest to 1? (a) 0 (b) d (c) t
c
Let s be -1 + -2 - 9/9. Which is the closest to 1.9? (a) 3/5 (b) s (c) -0.3
a
Let d = -15 + 27. Let r = d + -8. Let y = 0.11 - -4.89. Which is the nearest to 1/3? (a) y (b) r (c) -0.2
c
Let f = 0.01 - 0.41. Let d = -0.2 - f. Let h be 20/21 - (-4)/(-6). Which is the closest to h? (a) -3 (b) 3/2 (c) d
c
Let d be 8/2 - 8/56*7. What is the nearest to 2 in d, 0.3, -3/5?
d
Let h = 1.4 + -1.49. Let j = -0.29 - h. Let x = 6.4 - 6. What is the closest to -2/3 in x, j, 1/6?
j
Let d(f) = f - 6. Let w be d(5). Which is the closest to w? (a) 3 (b) 2/11 (c) -0.2
c
Let w = 1 + -0.9. Let k(x) = 7*x - 12*x**2 + 4 + 2*x**2 - x**3 + 5*x**2. Let h be k(-6). What is the nearest to -1 in h, w, 5?
h
Let z = 0.7 + -1.2. Which is the nearest to 1? (a) 2/15 (b) 1 (c) z
b
Let k be 1/3*(-6 + 6). Let u = k + -2. Which is the nearest to 1? (a) 3 (b) u (c) -1/4
c
Let r = 447/5 - 89. Let y be 1*(-1)/(-1)*-4. Which is the closest to 1? (a) r (b) 3 (c) y
a
Let g = 153.8 - 154. What is the nearest to g in 2, -1, 2/9?
2/9
Let o(j) = j**3 + 2*j**2 - 2*j - 2. Let r be o(-3). Let h = -2.5 + 2. Let l = 156/7 - 22. Which is the closest to -2/7? (a) r (b) h (c) l
b
Let z be 378/42*((-1 - -1) + -1). What is the nearest to 2/3 in 3, -1, z?
-1
Let l = -1013/3 + 381. Let z(o) = -4*o**2 - 4*o + 4. Let w be z(-4). Let h = l + w. What is the closest to 0.1 in -5, h, 3/8?
3/8
Let y = -1.157 - -0.157. Let z = -1627/6 + 272. Which is the closest to -2? (a) y (b) z (c) -1/2
a
Let m = -42/13 + 488/143. What is the nearest to 5 in m, -4, 5?
5
Let g = 7 - 5. Let t be (3*4/18)/((-1)/(-6)). Which is the closest to -1? (a) t (b) g (c) 3
b
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
/2 in increasing order.
2/285, 0.3, 7/2
Put -13.56101, 0, 4 in ascending order.
-13.56101, 0, 4
Sort -3/4, 23.5, -3, -5/2, -38.
-38, -3, -5/2, -3/4, 23.5
Sort -2, -1, -3, 1, 1291, -4 in increasing order.
-4, -3, -2, -1, 1, 1291
Put 6, -9, 19.6, 0.4 in decreasing order.
19.6, 6, 0.4, -9
Sort 4/3, -92, -12, -0.007 in increasing order.
-92, -12, -0.007, 4/3
Sort -12, 9, 98 in descending order.
98, 9, -12
Put 5, -17, 0, -2, -3, 110 in descending order.
110, 5, 0, -2, -3, -17
Sort 2, 3, -20136, 5, -4 in descending order.
5, 3, 2, -4, -20136
Sort 3, -5, 8, 4, 128, 2 in ascending order.
-5, 2, 3, 4, 8, 128
Put -16, -5, -1, 10 in decreasing order.
10, -1, -5, -16
Sort 1, 8, -3, 54 in ascending order.
-3, 1, 8, 54
Sort -1/2, -0.16, -0.04, -6/11, -3 in descending order.
-0.04, -0.16, -1/2, -6/11, -3
Put 1348, -0.4, 5, -13 in ascending order.
-13, -0.4, 5, 1348
Put -1, 41, 8, 1 in decreasing order.
41, 8, 1, -1
Put 2/7, -1.54, 2/9, 2/3, 10 in increasing order.
-1.54, 2/9, 2/7, 2/3, 10
Sort -7, -347, 12 in descending order.
12, -7, -347
Put -2, -1, -3, 14, 20 in descending order.
20, 14, -1, -2, -3
Sort 20, -1, 2/1495 in increasing order.
-1, 2/1495, 20
Sort -1/28, 1, -1, -2/7, 25, -0.4 in ascending order.
-1, -0.4, -2/7, -1/28, 1, 25
Sort 5, 782, -5, -104 in decreasing order.
782, 5, -5, -104
Sort 6, 1, -1456 in descending order.
6, 1, -1456
Put 0, -1.17, -0.1, 1 in decreasing order.
1, 0, -0.1, -1.17
Sort -2/15, 14, 2, -1/43850.
-2/15, -1/43850, 2, 14
Sort 11/2, 4/9, 1, 7, 5 in ascending order.
4/9, 1, 5, 11/2, 7
Sort -1684, -15, -3, -2 in descending order.
-2, -3, -15, -1684
Sort -79341, 2, -5, -3, -1 in ascending order.
-79341, -5, -3, -1, 2
Sort -2, 4/17, -0.4, 6/301, 1/3, 5 in descending order.
5, 1/3, 4/17, 6/301, -0.4, -2
Put -101, -0.4, -111, 0, -0.3 in increasing order.
-111, -101, -0.4, -0.3, 0
Sort 971, 0, 7, -1 in decreasing order.
971, 7, 0, -1
Put -0.2, -2/3, -1.04892 in decreasing order.
-0.2, -2/3, -1.04892
Put 45, -0.055, 27, -1/12 in descending order.
45, 27, -0.055, -1/12
Sort 2, -879, -2, -8.
-879, -8, -2, 2
Put -5, -0.4, 2, -6/7, 4/101 in increasing order.
-5, -6/7, -0.4, 4/101, 2
Put -64, 25, -0.035 in increasing order.
-64, -0.035, 25
Sort -13, 65, -6, -3.
-13, -6, -3, 65
Put 22, 1, -2, 7, -8 in descending order.
22, 7, 1, -2, -8
Sort -4, -7, -2, 2, 0, -63 in descending order.
2, 0, -2, -4, -7, -63
Sort 224/11, -0.4, -0.2, 0.5 in decreasing order.
224/11, 0.5, -0.2, -0.4
Put -94.78, 0.2, -5, -4 in decreasing order.
0.2, -4, -5, -94.78
Sort -6320, -0.6, 5.
-6320, -0.6, 5
Sort -1.1, 0.01, 55, -1 in increasing order.
-1.1, -1, 0.01, 55
Put 5, -118, -16, -5, 1, -18 in increasing order.
-118, -18, -16, -5, 1, 5
Sort -2/25, -1, -2213 in descending order.
-2/25, -1, -2213
Sort -0.1, -2, 3/2, -2/7, -4, 4 in ascending order.
-4, -2, -2/7, -0.1, 3/2, 4
Sort 3, -172, 1, -3, 0.3, 9 in decreasing order.
9, 3, 1, 0.3, -3, -172
Put 3/2, -8, -1149 in decreasing order.
3/2, -8, -1149
Sort -3, -1, -0.1, -198, 78/11 in increasing order.
-198, -3, -1, -0.1, 78/11
Put 2/2995, 3/8, 3, 1, -0.5 in increasing order.
-0.5, 2/2995, 3/8, 1, 3
Put 4, 3, -2, 57, -5, 1 in decreasing order.
57, 4, 3, 1, -2, -5
Sort 3, -95, -568 in ascending order.
-568, -95, 3
Sort -6693, 18, -2 in decreasing order.
18, -2, -6693
Sort 2, 11978, -9 in decreasing order.
11978, 2, -9
Put 4, 10, 3, -18 in ascending order.
-18, 3, 4, 10
Sort -3, -4690, -5, 3 in descending order.
3, -3, -5, -4690
Sort -0.2344, 0.4, -1 in decreasing order.
0.4, -0.2344, -1
Put -4, -28, 9, -17 in decreasing order.
9, -4, -17, -28
Sort -0.9, -2/15, -0.04, 1/39.
-0.9, -2/15, -0.04, 1/39
Put 0.02, 38, -1/2, 1, 0.9 in descending order.
38, 1, 0.9, 0.02, -1/2
Sort -1, -10, -1340, 11 in increasing order.
-1340, -10, -1, 11
Sort -2004, 2, 4, -74, -2 in descending order.
4, 2, -2, -74, -2004
Put 39, 20, 2, -1, 5 in ascending order.
-1, 2, 5, 20, 39
Put -1/4, 6, -632, 1/3 in ascending order.
-632, -1/4, 1/3, 6
Sort -20, -4, -4/7, -26/5, 0.5 in decreasing order.
0.5, -4/7, -4, -26/5, -20
Sort -2, 3/31, 0.2, -509, -1 in descending order.
0.2, 3/31, -1, -2, -509
Sort -3, 5, -5, -55, 2, -2 in increasing order.
-55, -5, -3, -2, 2, 5
Put 15, 1082, 30 in decreasing order.
1082, 30, 15
Sort 4, -3, -2862, 5, 2, 1 in descending order.
5, 4, 2, 1, -3, -2862
Sort 6, -14, 3, -2/9, -449.
-449, -14, -2/9, 3, 6
Sort -2/5, 0.1, -2, -5, -56/781.
-5, -2, -2/5, -56/781, 0.1
Sort -2, 27213, 2 in decreasing order.
27213, 2, -2
Sort -0.4, 1/10, 0.7, 46.
-0.4, 1/10, 0.7, 46
Sort -0.5, -0.1, 87, -3/4, 1/4, -2 in decreasing order.
87, 1/4, -0.1, -0.5, -3/4, -2
Put -24, 2, 36.9 in ascending order.
-24, 2, 36.9
Sort 34, 2129, 0.3 in ascending order.
0.3, 34, 2129
Sort -383, 1, -4, -9 in descending order.
1, -4, -9, -383
Put 0.03, 3, 7.7, -0.01 in decreasing order.
7.7, 3, 0.03, -0.01
Sort -37630, 2/7, 0 in decreasing order.
2/7, 0, -37630
Sort -3, -2, 198, -145 in increasing order.
-145, -3, -2, 198
Put 5, 2, 59, 37 in descending order.
59, 37, 5, 2
Sort -196, 15, 1 in ascending order.
-196, 1, 15
Sort 5, -0.82, 2/9, 1/9, 1, -5/2 in ascending order.
-5/2, -0.82, 1/9, 2/9, 1, 5
Sort 1/2, -0.4, 2/493, -50, 2/29.
-50, -0.4, 2/493, 2/29, 1/2
Sort -3, 152, 6, 7, 3.
-3, 3, 6, 7, 152
Put -2/9, 6, -1/561, 1 in descending order.
6, 1, -1/561, -2/9
Put 21, 2, -4, 0, 246 in descending order.
246, 21, 2, 0, -4
Put -16, 11, -2, 1, 24 in increasing order.
-16, -2, 1, 11, 24
Sort 10429, 2/5, -4 in descending order.
10429, 2/5, -4
Put -2, 2, -5, -1240, 5 in descending order.
5, 2, -2, -5, -1240
Put -5, -10, -2, -3, 581, -4 in descending order.
581, -2, -3, -4, -5, -10
Sort 3, 0.3, -22, 77 in descending order.
77, 3, 0.3, -22
Sort 2, 10, 29, 4, -7 in ascending order.
-7, 2, 4, 10, 29
Sort 2, -658, 0.4, 5/7, -3/40.
-658, -3/40, 0.4, 5/7, 2
Put -1/30, -4/3, -12, 2/3 in decreasing order.
2/3, -1/30, -4/3, -12
Sort -6927, -3, -54 in descending order.
-3, -54, -6927
Put -5, 3, 0.3, -0.03, -1/101 in decreasing order.
3, 0.3, -1/101, -0.03, -5
Sort -38076, 9, 3, -2.
-38076, -2, 3, 9
Put 3, -2, -46, -32, 4, 0 in descending order.
4, 3, 0, -2, -32, -46
Put 4, 0, -2, 39 in descending order.
39, 4, 0, -2
Sort -14, -12, -0.3, 2, 4, 4/5 in increasing order.
-14, -12, -0.3, 4/5, 2, 4
Sort 59, 24, 4, 3, 8, -3 in decreasing order.
59, 24, 8, 4, 3, -3
Put 64, -2, 11, 2 in descending order.
64, 11, 2, -2
Sort 120, -4, -3, 2/5 in descending order.
120, 2/5, -3, -4
Put -3, 5404, -7, -1 in ascending order.
-7, -3, -1, 5404
Sort 2/7, 0.2, -19012, -4/5.
-19012, -4/5, 0.2, 2/7
Put 1, 4, -13, -30, -3 in ascending order.
-30, -13, -3, 1, 4
Sort -16642, 11, 2.
-16642, 2, 11
Put 4, 97531, 2/9 in descending order.
97531, 4, 2/9
Put 20.0034, -3, -3/2 in increasing order.
-3, -3/2, 20.0034
Put 20/31, -0.4, 0.4, -3 in decreasing order.
20/31, 0.4, -0.4, -3
Put -1/5, 2.8, -257 in descending order.
2.8, -1/5, -257
Sort -243, -5, 3, 40, 2.
-243, -5, 2, 3, 40
Put -4, 193, 73 in descending order.
193, 73, -4
Sort 5, -96649, -3.
-96649, -3, 5
Put 31, -0.14, -3, 0.4, -5, -2/3 in descending order.
31, 0.4, -0.14, -2/3, -3, -5
Put 4, 5, 0, 5644 in decreasing order.
5644, 5, 4, 0
Sort -1/6, -7, 2/3, -4657.
-4657, -7, -1/6, 2/3
Sort -3, 98, 350 in decreasing order.
350, 98, -3
Sort -37, -1.1, -0.048, -4, 2/19 in increasing order.
-37, -4, -1.1, -0.048, 2/19
Sort 8, -3, 3, -2/91, -5, 3/5 in decreasing order.
8, 3, 3/5, -2/91, -3, -5
Put -825, 14, 107 in decreasing order.
107, 14, -825
Sort -3, 22947, -6 in ascending order.
-6, -3, 22947
Sort -2, 8108, 11, 2, 3 in descending order.
8108, 11, 3, 2, -2
Sort 0, -1/6, -15, -0.5, -4168 in ascending order.
-4168, -15, -0.5, -1/6, 0
Sort 0, 105, -16, -7, 2, -3 in increasing order.
-16, -7, -3, 0, 2, 105
Put -2.153, -1/7, -2/11, 1, 2 in decreasing order.
2, 1, -1/7, -2/11, -2.153
Put -8, 538, 73 in ascending order.
-8, 73, 538
Put 1, 4, 65, -30, -32, 5 in decreasing order.
65, 5, 4, 1, -30, -32
Put 2, 2/5, 42.1, 4, 1 in decreasing order.
42.1, 4, 2, 1, 2/5
Put -0.5, 1/4, 21626/7 in descending order.
21626/7, 1/4, -0.5
Put 26, -3, -199, 3 in decreasing order.
26, 3, -3, -199
Put 3, -0.2454, -29 in descending order.
3, -0.2454, -29
Put -45, -2/3, -1, 52, 4/5 in increasing order.
-45, -1, -2/3, 4/5, 52
Sort 11, -1328, 8 in ascending order.
-1328, 8, 11
Sort
|
{
"pile_set_name": "DM Mathematics"
}
|
- 6. Let u be (-2)/6 - r/(-18). Let n = u - -4. Solve -3 = -n*k + 1 for k.
1
Suppose -l = -2*l - 96. Let t be l/20 + (-1)/5. Let c be (t/10)/((-1)/2). Solve 3*v + 13 = c for v.
-4
Let p be 3*4/3 + -2. Let n(b) = -b**3 - 4*b**2. Let h be n(-4). Suppose k - p = -h. Solve j = 4 - k for j.
2
Let t(x) = x - 4. Let i be t(8). Solve 2*m - 2 = i for m.
3
Let u(f) = -f - 25. Let d(m) = 5. Let q(b) = -11*d(b) - 2*u(b). Let v be q(4). Suppose 5*k = 4*w - 3, -7*k + 14 = 5*w - 3*k. Solve -v*l = -w*l + 2 for l.
-2
Let c = -1 - -3. Let h = -69 + 39. Let g be (h/4)/((-1)/2). Solve b - g = -c*b for b.
5
Suppose 21 = 4*v - 15. Let t be 3/v - (-23)/3. Suppose 16 = 4*d - 2*w, d - 3*d = 5*w - t. Solve 2 = 3*i - d*i for i.
-2
Let l be (45/(-10) + -1)*(-2 - 0). Solve -10*o = -l*o for o.
0
Let q be (-171)/(-21) - 24/(-28). Solve -q - 16 = -5*z for z.
5
Suppose 0 = -5*d + 9 + 11. Suppose 4*j + 15 = d*w + 3*j, -w - 2*j + 6 = 0. Solve -y + w*y = -15 for y.
-5
Suppose -h = 3*h - 28. Let d = 10 - h. Suppose 2*f + 5*l = d*f + 5, -5 = -5*l. Solve k - 4 = -f*k for k.
4
Let a(f) = 178*f - 431. Let j be a(3). Solve 0 = -j*w + 100*w for w.
0
Let z be -7*(4/10)/((-21)/15). Let c(n) = -n**2 - 6*n + 9. Let m be c(-7). Suppose -4*x + m*t = -8, -4*t + 5 = 5*x - 18. Solve z*q = -x*q for q.
0
Let l be 2/(-1) - ((-10)/1 + 2). Solve 0 = -l*n + 10*n + 20 for n.
-5
Let h = 43 + -106. Let x = 63 + h. Solve x = 4*i + 11 + 9 for i.
-5
Let q = 3 + -1. Let g = 175 + -163. Solve y = -q*y - g for y.
-4
Suppose -3*m = 4 - 139. Suppose -2*u + 17 = -3*w, 0*u + m = 4*u + 5*w. Solve 7*z - u = 2*z for z.
2
Let l = -10 + 11. Suppose 5*a = -3*i + 83, 4*i - i + 29 = 2*a. Let s be (6/(-4))/((-12)/a). Solve -3*b + s*b = l for b.
-1
Let l(k) = -k**3 - 19*k**2 + 41*k - 17. Let o be l(-21). Solve p - 2 = -o for p.
-2
Let k(f) = 7*f - 1. Let g = -19 + 25. Let z(i) = i**2 - 4*i - 10. Let n be z(g). Let j be k(n). Solve 0 = 2*v - 3 + j for v.
-5
Let r(t) = -4*t**3 - 64*t**2 + 76*t**2 + 5*t**3 + 19*t - 4. Suppose -39 = -f + 5*f - x, -3 = 3*x. Let z be r(f). Solve -4*b - z = -22 for b.
4
Let f = 419 + -419. Solve f = 2*a + 11 - 21 for a.
5
Let s = -1854 + 1878. Solve -8*u = -s*u + 64 for u.
4
Let g be 120/(-75) + (-3)/(-5). Let c be ((-1)/g)/((-1)/(-7)). Let h be (-4)/(-5) - c/(-35). Solve i + h = 4 for i.
3
Let d = 16 + -19. Let f be ((-18)/(-15))/(d/(-10)). Solve 3*c + 16 - f = 0 for c.
-4
Let w be (3/(-2))/(-1 + 77/88). Solve w*f = 17*f for f.
0
Suppose -831*z + 14 = -829*z. Solve -i + z*i = 24 for i.
4
Suppose 19 = k + 4*f, -14*f + 15*f - 16 = -4*k. Solve 0*w - k = 3*w for w.
-1
Let p(d) = -7*d + 65. Let h be p(8). Solve 27 = -h*o - 9 for o.
-4
Suppose 14*y - 13*y + 3 = c, 0 = -2*c - 5*y - 1. Solve c*t - 25 = -3*t for t.
5
Suppose 5*a - 2*c - 83 = 0, -a + 5*c = 12 - 47. Suppose -24 = -5*v + v + f, v + 5*f + a = 0. Suppose -3*g = -5 - 1. Solve g*y + v = -1 for y.
-3
Let c be (-388)/(-22) + (-36)/(-99). Solve c*p + 6 = 15*p for p.
-2
Let q(o) = 9*o + 12. Let y(t) = -2*t + 1. Let p(x) = -q(x) - y(x). Let j be p(-4). Solve 0 = -0*a + 3*a - j for a.
5
Let x(z) = -z**3 + 34*z**2 + 2*z - 66. Let v be x(34). Solve -5*a + v*a = 15 for a.
-5
Let l be 126/33 + (32/44)/4. Solve 8*s + l = -20 for s.
-3
Suppose 0 = 3*u - 6*u + 18. Let j = u + -1. Suppose 3*h + 7*h + 4*h = -11*h. Solve x + 1 - j = h for x.
4
Let h(b) = -b - 1. Let p be h(-4). Let s(x) = -822*x - 5752. Let f be s(-7). Solve p*r - r = -f for r.
-1
Let f be ((-18)/(-15))/(20/150). Solve -f*r - 15 = -6*r for r.
-5
Suppose 2*j = 2*m - 6, -2*j + 0 + 4 = 0. Suppose m*h + 35 - 170 = 0. Suppose -2*p - 3*c = -9 - h, -2*p + 12 = -3*c. Solve 0*g + 3*g + p = 0 for g.
-4
Let z be 9/2 + (-7)/14. Suppose -h + 20 = 4*h. Solve 0*t - h*t = z for t.
-1
Suppose 12 = 5*h - 18. Let t(z) = -z**2 + 7*z. Let v be t(h). Solve -3*y = -v*y - 3 for y.
-1
Let l(x) = x**2 + 3. Let a be l(5). Let z = 17 - a. Let p be (z/33)/(1/(-27)). Solve p*v = 4*v for v.
0
Let z = -304 + 307. Solve z*i - 17 = -5 for i.
4
Let m be 10 - (28/7 + 0). Solve -m - 2 = 2*s for s.
-4
Let k(t) = -t**2 + 29*t - 71. Let w be k(26). Solve -16 = -3*c - w for c.
3
Let s be (-3 - 1) + 1 + 8. Let c be (-6)/s*(-110)/44. Solve 3*z + c = -3 for z.
-2
Let r be 3*(-1)/3 - -5. Suppose -14*q = -13*q - r. Solve -14 + q = -2*o for o.
5
Suppose -2*o + 16 = -2*z, 5*z + 16 = -0*o - o. Let j be (z/(-5))/((-5)/(-50)). Let w(m) = m**2 - 7*m. Let g be w(j). Solve p = -p + g for p.
4
Let v(j) = 2*j + 2. Let k be v(-1). Suppose -c - 6 = 3*o - k*o, 4 = -4*c - 2*o. Solve 0 = 2*y - c*y for y.
0
Let j = 292 + -287. Solve -j*k = 14 + 11 for k.
-5
Suppose 3*i - 37 = 8. Let m = i + -7. Suppose m*w = 5*w. Solve w*u = 4*u for u.
0
Suppose 5*m + 12 = 9*m. Suppose 4 + 8 = m*u. Solve -u*j - 4 = -2*j for j.
-2
Let u(i) = -2*i**2 - 4*i - 4. Let x be u(-2). Let v be (-11)/(-4) + (-1)/x. Solve -4*l + l = -v for l.
1
Let j(k) = -k**3 + 3*k + 6. Let l be j(-2). Solve 4*w - 4 = l*w for w.
-1
Let w(r) = -2*r**2 - 7*r - 2. Let s be w(-5). Let o(l) = -l - 9. Let t be o(s). Solve j = 3*j - t for j.
4
Let c = 178 - 174. Solve -16*r + 15*r = -c for r.
4
Suppose -6*l = -2 + 2. Solve l = 4*m - m for m.
0
Let m be 2*-5*10/4. Let t = -21 - m. Suppose -4*k + 2 = 3*q + t, 0 = q + k. Solve 1 = i + q for i.
-1
Let x = -2 + 29. Let a = x - 22. Suppose -a*p + 5 + 10 = 0. Solve -d = p*d + 20 for d.
-5
Suppose -26 = -7*q - 5*g + 112, g = -4*q + 77. Solve -12*t = 29 + q for t.
-4
Suppose 223 = -m + 228. Solve -15*w + m*w + 10 = 0 for w.
1
Suppose 5*j - 10 = 0, 2*j + 2 = -5*i - 4. Let d be 0 + i + (-6)/(-3). Solve d*x + 12 = 3*x for x.
4
Let z(w) = -w**3 - 42*w**2 - 84*w - 139. Let m be z(-40). Solve -m = 15*k - 8*k for k.
-3
Suppose 0 = q - 2. Let x = q - 8. Let a be -1 + (x/3)/(-2). Solve -2*b + 2 + 0 = a for b.
1
Let d(p) = -6*p**3 + p**2 - 3*p - 7. Let b be d(-2). Let l = b + -47. Solve -l + 0 = x for x.
-4
Let n(b) = -6*b + 33. Let l be n(5). Suppose -9*h + 39 = l. Solve -h*d + 9 = -d for d.
3
Let g(p) = -p**2 - p. Let k(b) = -8*b**2 - 27*b - 15. Let w(a) = 6*g(a) - k(a). Let s be w(-10). Solve -s*r = -9*r for r.
0
Let a = -18 - -6. Let q(p) = -p**2 - 14*p - 19. Let g be q(a). Solve -r + g = -0*r for r.
5
Let q be -3 - 111/(-6) - (-2)/4. Solve q = m + 14 for m.
2
Let g be (6*8/8)/2. Let c(t) = t**3 - 7*t - 3 + 14*t + 0 - 7*t**2. Let u be c(6). Solve -u = -g*h + 4*h for h.
-3
Let s be 3/4 - 12727/(-572). Solve 11*a + s + 21 = 0 for a.
-4
Let k = 20 + 1. Suppose -b - 2*o = 2*o + 36, -5*b - 108 = 2*o. Let y = k + b. Solve d + y = -0*d for d.
-1
Let z = -210 + 214. Solve -z*f + 12 = -10*f for f.
-2
Let n be (-1 - (-5 - 0)) + 3 + -1. Solve b + 11 = n for b.
-5
Let l(n) = n - 10. Let j be l(10). Suppose j = 3*h + 3*o - 9, -2*h + 7*o - 3*o = 0. Suppose 2*x = -v + 4, 5*v + h - 15 = -3*x. Solve v = 5*y - 8 for y.
2
Let w = -19 + 8. Let h be (-1 - -2)*(w + -5). Let i = 21 + h. Solve -i*j + 0*j - 10 = 0 for j.
-2
Let m(i) = 51*i - 393. Let f be m(8). Solve -10*x + f = -5 for x.
2
Let x(k) = 24*k - 40. Let f be x(3). Solve -t + 9*t - f = 0 for t.
4
Let o be (-75)/9 + 9/(162/(-12)). Let d(b) = -b**2 - 10*b - 5. Let v be d(o). Solve s - v*s + 3 = 0 for s.
1
Let j(b) = -b**2 + 6*b - 3. Let c(f) = -f + 12. Let o be c(8). Let z be j(o). Suppose -z*t + 7*t = 14. Solve -2*w + 25 = -t*w for w.
-5
Let j be 10/140*4 + (-47)/(-7). Solve 0 = k - j*k - 30 for k.
-5
Let c(l) = 3*l**3 + 2*l**2 - 1. Let p be c(1). Let w(h) = h + 27. Let y be w(13). Let n = y + -20. Solve 0 = 4*z + p - n for z.
4
Suppose -3*q - 3*x + 20 = -4, -4*q + 3*x = -32. Suppose 12 = 3*z + l, -5*z + 46 - 18 = -l. Solve z*r = q + 2 for r.
2
Suppose -214 = 3*c + 248. Let x = c - -156. Solve -v = -x*v + 4 for v.
4
Let j be 0/(1 - -4)*1. Suppose 5*f - 5*w = j, -5*f - 9*w + 7*w + 21 = 0. Solve 4 = -f*o + 10 for o.
2
Suppose -2 = -b - 0*b. Let d = b + -3. Let l be -6*d/3*1. Solve -3*u = -l*u for u.
0
Let a(u) = 5*u + 8 + u + u**3 - 8*u**2 + 0*u + 0*u. Let c be a(7). Suppose -2*g - s - c = -10, 5*g - 3*s = -5. Solve 5 = b - g*b for b.
-5
Suppose m = 20*i - 25*i + 30, 0 = -i - 5*m + 6. Solve -i*w + 5*w + 2 = 0 for w.
2
Suppose -3*v + 10 = 4. Suppose 5*p + 9 = 3*o - 18, -v*o - 2*p + 2 = 0. Solve 3 + 1 = -o*r for r.
-1
Let r(q) = q**2 - 5*q - 6. Let m be r(7). Suppose 9*z - 3 = m*z. Suppose -4*v = 4*u - 2*u - 26, 4*v - 31 = -z*u. So
|
{
"pile_set_name": "DM Mathematics"
}
|
225 and 9281818.
169
Calculate the greatest common factor of 2879896 and 376.
8
Calculate the highest common divisor of 5488 and 3032.
8
Calculate the highest common divisor of 116 and 378869572.
116
What is the highest common divisor of 650 and 1089150?
50
Calculate the highest common factor of 13506777 and 148143.
6441
What is the highest common divisor of 10176009 and 114253?
1873
Calculate the highest common divisor of 2230 and 55296418.
446
What is the highest common factor of 2225548 and 837108?
1348
What is the highest common divisor of 44 and 1774736?
4
Calculate the highest common divisor of 529433 and 7511.
37
What is the greatest common factor of 9050664 and 12?
12
Calculate the highest common factor of 170922 and 5066950.
934
Calculate the greatest common divisor of 590 and 16078050.
10
What is the highest common factor of 89538 and 114?
6
Calculate the greatest common divisor of 1850 and 50303350.
1850
What is the greatest common divisor of 44 and 17005549?
11
Calculate the greatest common divisor of 4791108 and 71736.
84
What is the greatest common factor of 3082272 and 1176416?
3104
Calculate the highest common factor of 95 and 318658842.
19
What is the greatest common factor of 4222884 and 3219?
111
Calculate the highest common divisor of 70 and 277463165.
35
What is the highest common factor of 97265700 and 245700?
6300
Calculate the greatest common factor of 138136786 and 642.
214
Calculate the greatest common divisor of 1854978525 and 16542.
8271
What is the greatest common divisor of 499824 and 20025?
801
Calculate the greatest common factor of 10148490 and 7650.
1530
Calculate the greatest common divisor of 75123 and 25704.
153
Calculate the greatest common factor of 2392 and 19345976.
104
What is the greatest common factor of 224275 and 25?
25
Calculate the greatest common factor of 7162554 and 42.
42
What is the greatest common factor of 13950 and 107115850?
1550
What is the highest common factor of 10132520 and 810?
10
What is the highest common factor of 83 and 196711577?
83
What is the highest common factor of 620460 and 7695?
405
What is the highest common factor of 9 and 42921693?
9
What is the highest common factor of 131069114 and 178669?
6161
Calculate the greatest common divisor of 984197 and 328700.
173
What is the highest common factor of 3636578 and 106502?
1034
What is the greatest common divisor of 5856 and 3746742?
366
What is the highest common factor of 124470208 and 172?
172
Calculate the highest common factor of 153 and 3770124.
51
What is the highest common factor of 41848 and 301635153?
5231
What is the highest common factor of 7570975685 and 91?
91
Calculate the highest common divisor of 16790 and 404420.
730
Calculate the highest common divisor of 493 and 26358245.
493
Calculate the highest common divisor of 2702378040 and 655.
655
What is the greatest common factor of 1952640 and 900?
180
What is the highest common divisor of 8897 and 1146243?
7
Calculate the highest common factor of 58226641 and 74.
37
What is the highest common divisor of 75 and 107400435?
15
Calculate the greatest common divisor of 369 and 8031162.
123
What is the highest common factor of 5445 and 1920105?
495
What is the highest common factor of 6223 and 628670?
49
What is the greatest common divisor of 8495637 and 609?
87
Calculate the greatest common factor of 13193 and 255677.
167
What is the highest common factor of 128593 and 7981?
23
What is the greatest common divisor of 3473 and 2461?
23
What is the highest common divisor of 257 and 442297?
257
Calculate the greatest common divisor of 148079313 and 18492.
4623
What is the greatest common divisor of 85 and 180506?
17
What is the highest common divisor of 167868 and 56?
4
What is the highest common factor of 1287 and 137165886?
1287
Calculate the highest common factor of 106646 and 1883.
1
What is the highest common factor of 416236 and 2358?
2
What is the highest common divisor of 2027790 and 14370?
30
Calculate the highest common divisor of 227962 and 61978.
266
Calculate the highest common divisor of 11000 and 6072.
88
What is the highest common divisor of 188188 and 1498497?
1001
What is the greatest common factor of 67657189 and 5317?
409
What is the greatest common divisor of 450274 and 2134?
2134
Calculate the greatest common divisor of 16515279 and 594.
297
Calculate the greatest common factor of 16317 and 83466894.
5439
What is the highest common divisor of 34043 and 7788?
59
What is the greatest common factor of 12510 and 22332852?
2502
Calculate the greatest common divisor of 9409422 and 4.
2
What is the highest common divisor of 260670 and 7560?
30
Calculate the greatest common factor of 231 and 47454.
33
What is the greatest common divisor of 13123760 and 65?
65
What is the highest common factor of 3589 and 21677851?
97
What is the greatest common divisor of 53710258 and 25123?
679
Calculate the greatest common divisor of 3128410 and 230.
10
What is the greatest common factor of 187875776 and 1012?
1012
Calculate the highest common divisor of 2985 and 215915.
995
Calculate the greatest common factor of 100018296 and 28.
28
What is the highest common divisor of 2859964 and 6?
2
What is the highest common factor of 47157 and 15939?
33
What is the greatest common divisor of 775 and 724835?
5
Calculate the highest common factor of 990 and 135982.
22
Calculate the greatest common factor of 12501467 and 568.
71
What is the highest common factor of 252 and 650016504?
36
Calculate the greatest common factor of 10744 and 5908568.
632
Calculate the greatest common divisor of 38696487 and 222.
111
What is the highest common divisor of 5026524 and 36?
12
What is the highest common factor of 53856 and 43032?
264
Calculate the highest common divisor of 67692 and 7932.
12
Calculate the greatest common factor of 23180 and 15341500.
1220
What is the highest common factor of 281 and 242399030?
281
Calculate the greatest common factor of 4437 and 89684095.
493
What is the highest common factor of 31966857 and 3042?
1521
What is the greatest common factor of 1 and 656654188?
1
What is the highest common factor of 1221129914 and 386?
386
Calculate the highest common divisor of 340566 and 78.
6
Calculate the highest common factor of 480580 and 27440.
20
Calculate the greatest common factor of 20645267 and 3572.
893
What is the greatest common factor of 3424 and 1813757?
107
Calculate the greatest common divisor of 5161 and 38701.
13
What is the highest common divisor of 430521011 and 148?
37
What is the highest common factor of 41 and 53165561?
41
Calculate the greatest common factor of 12038 and 10300.
2
What is the greatest common divisor of 31842 and 29004768?
1098
What is the greatest common factor of 26724 and 9790416?
1572
Calculate the greatest common divisor of 108 and 2321442.
18
Calculate the greatest common factor of 16922933 and 292.
73
What is the greatest common divisor of 3351140 and 1820?
260
Calculate the greatest common divisor of 23297928 and 96.
24
Calculate the highest common divisor of 11 and 61467703.
11
Calculate the highest common factor of 13 and 986824527.
13
Calculate the greatest common divisor of 1282810 and 4890.
1630
Calculate the greatest common factor of 492 and 29043867.
123
Calculate the greatest common factor of 1113 and 27306279.
21
Calculate the greatest common factor of 380876958 and 2772.
1386
Calculate the highest common divisor of 2964996 and 36.
36
Calculate the highest common divisor of 717 and 43533372.
717
What is the highest common factor of 40136 and 47?
1
What is the highest common divisor of 176670 and 356850?
1170
What is the greatest common divisor of 11043982 and 84286?
1258
What is the highest common factor of 18836 and 154012?
1108
What is the highest common factor of 69702399 and 64467?
3393
Calculate the greatest common factor of 747697344 and 64.
64
What is the greatest common factor of 1075 and 216935?
215
Calculate the highest common factor of 11767112 and 32.
8
Calculate the highest common factor of 27 and 624363.
3
Calculate the highest common divisor of 881 and 540053.
881
Calculate the highest common divisor of 10560 and 23176.
8
What is the highest common divisor of 2816 and 2331769?
11
What is the highest com
|
{
"pile_set_name": "DM Mathematics"
}
|
-6
Let m(h) = 6*h**2 + 5*h + 5. Calculate m(-2).
19
Let c(s) = -s + 1. Determine c(-9).
10
Let p(v) = -v**3 + 8*v**2 - 10*v - 12. Give p(5).
13
Let h(w) = -w**3 + 3*w**2 + 5*w - 2. Give h(4).
2
Let i(h) = h**2 - 2*h + 18. What is i(10)?
98
Let x(i) = i - 41. Calculate x(0).
-41
Let k(t) = 26*t**3 - 2*t - 1. Determine k(-1).
-25
Let c(b) = 11*b - 1. Determine c(3).
32
Let j(r) = r**2 + 16*r + 1. What is j(-16)?
1
Let u(m) = -m**3 - 53*m**2 - 3*m - 159. Calculate u(-53).
0
Let g(n) = -n**3 - 8*n**2 + n - 5. Determine g(-8).
-13
Let l(v) = 9*v - 50. Calculate l(8).
22
Let h(s) = 11*s + 9. Calculate h(-4).
-35
Let w(r) = 3*r + 38. Give w(-12).
2
Let m(s) = s**2 - 17*s - 39. Give m(19).
-1
Let l(t) = -2*t**2 + 29*t + 22. Give l(15).
7
Let l(y) = -y**2 + 13*y - 5. Determine l(15).
-35
Let x(k) = k**3 - 9*k**2 + 20*k + 7. Give x(5).
7
Let l(a) = -4*a**2 - 29*a + 18. Give l(-8).
-6
Let g(b) = b**2 + 22*b - 80. Calculate g(-25).
-5
Let o(n) = n**3 + n**2 + n - 2. Determine o(0).
-2
Let d(w) = -2*w - 3. Determine d(0).
-3
Let u(l) = 20*l + 7. Calculate u(5).
107
Let x(i) = 8*i**3 + i**2 - 3*i + 3. What is x(1)?
9
Let d(y) = 5*y + 5. Give d(-9).
-40
Let u(q) = -2*q**3 - 33*q**2 - 16*q - 33. Give u(-16).
-33
Let s(j) = 13*j + 4. Calculate s(-2).
-22
Let u(l) = -l**2 + 2*l + 8. What is u(4)?
0
Let s(p) = p**3 - 7*p**2 + 4*p - 1. Calculate s(6).
-13
Let r(f) = -f**2 - 5*f + 2. Calculate r(-4).
6
Let w(d) = -2*d**2 + 22*d - 15. What is w(10)?
5
Let r(u) = -u - 63. Determine r(0).
-63
Let r(b) = -b - 8. Determine r(-10).
2
Let o(b) = 8*b**2 + 7*b - 50. Give o(4).
106
Let d(n) = -7*n + 6. Determine d(8).
-50
Let a(p) = -2*p**2 + 5*p + 2. Calculate a(5).
-23
Let f(t) = 4*t**3 - 5*t - 7. What is f(-1)?
-6
Let l(u) = -3*u - 5. Calculate l(2).
-11
Let v(j) = j**3 + 10*j**2 + 11*j + 10. What is v(-9)?
-8
Let i(q) = -q**3 - 11*q**2 + 6*q - 13. Determine i(-12).
59
Let z(b) = b**2 - 14*b + 30. Calculate z(12).
6
Let o(a) = 8*a + 79. Determine o(-16).
-49
Let y(l) = 26*l + 35. Give y(-2).
-17
Let m(z) = z**3 + 33*z**2 + 57*z - 83. Give m(-31).
72
Let t(u) = 2*u**2 + 28*u + 50. Determine t(-2).
2
Let p(g) = 4*g + 45. Calculate p(-13).
-7
Let n(i) = -i**3 - i**2 + 16. Determine n(0).
16
Let n(x) = -x**3 - 20*x**2 - 3*x - 28. Calculate n(-20).
32
Let i(t) = -t**2 - 24*t + 5. Determine i(-22).
49
Let x(y) = 7*y**2 - y - 29. Determine x(5).
141
Let c(s) = s**2 + 12*s + 10. What is c(-11)?
-1
Let d(f) = 13*f**3 - 3*f**2 - f + 1. Calculate d(-1).
-14
Let o(t) = -t - 25. What is o(12)?
-37
Let h(a) = -3*a + 20. What is h(-4)?
32
Let x(m) = -m**2 - 8*m - 15. Calculate x(-11).
-48
Let n(o) = -o**3 - 6*o**2 - 9*o - 23. What is n(-5)?
-3
Let a(l) = 2*l**2 - 20*l - 20. Determine a(11).
2
Let k(s) = 3*s - 12. What is k(5)?
3
Let p(g) = 2*g**2 + 11*g + 3. Calculate p(-5).
-2
Let p(z) = 22*z - 22. Determine p(7).
132
Let r(t) = -16*t - 117. What is r(-7)?
-5
Let b(d) = 2*d**3 + 42*d**2 + 2*d + 46. Give b(-21).
4
Let d(u) = u**2 + 18*u - 99. Determine d(-23).
16
Let l(w) = -4*w**2 - 3*w. Calculate l(-1).
-1
Let n(f) = 6*f. What is n(6)?
36
Let p(n) = -6*n**3 + n**2 + 4*n + 4. Calculate p(-1).
7
Let u(c) = 2*c**3 - 6*c**2 - c + 1. What is u(3)?
-2
Let c(m) = -m**3 - 14*m**2 - m - 10. Give c(-14).
4
Let j(x) = x**2 - 7*x + 4. Calculate j(7).
4
Let u(j) = j**3 + 14*j**2 - 3*j - 45. Determine u(-14).
-3
Let c(g) = g**3 + 5*g**2 - 4*g - 1. What is c(-3)?
29
Let j(r) = 6*r**2 - 6. Determine j(-2).
18
Let t(r) = 7*r**2 - 98*r + 4. Determine t(14).
4
Let v(s) = -s**3 + 7*s**2 + 20*s - 14. Give v(9).
4
Let w(r) = 7*r - 21. What is w(5)?
14
Let z(u) = u**3 + 6*u**2 + 2*u - 3. Give z(-5).
12
Let j(l) = -l**3 + 13*l**2 + 2*l - 28. Determine j(13).
-2
Let h(i) = i**3 - 9*i**2 + 4*i - 8. What is h(8)?
-40
Let r(q) = -q**3 + 7*q**2 - 4*q - 4. What is r(7)?
-32
Let m(q) = 23*q - 19. Give m(1).
4
Let d(j) = 3*j + 42. Give d(-17).
-9
Let n(i) = 3*i - 61. Calculate n(21).
2
Let v(s) = s**3 + 8*s**2 - 3*s + 15. Determine v(-8).
39
Let y(n) = -2*n**3 + 41*n**2 - 17*n - 55. Calculate y(20).
5
Let i(g) = -g**2 - 14*g. Determine i(-14).
0
Let k(p) = -17*p - 131. Give k(-8).
5
Let j(b) = -11*b**3 + 2*b**2 + 3*b - 3. What is j(-2)?
87
Let p(b) = -5*b + 119. Determine p(21).
14
Let a(y) = -y**2 + 8*y + 23. Determine a(8).
23
Let u(n) = -6*n + 32. Calculate u(5).
2
Let j(f) = f**2 - 9*f - 7. Determine j(7).
-21
Let i(g) = -34*g + 2. What is i(-1)?
36
Let j(p) = 7*p - 6. What is j(11)?
71
Let r(z) = -z**3 - 13*z**2 - 22*z + 2. Calculate r(-11).
2
Let w(j) = -2*j**2 + 5*j + 6. Determine w(6).
-36
Let u(l) = -15*l + 46. Determine u(3).
1
Let w(p) = p**3 + 12*p**2. Calculate w(-12).
0
Let v(p) = 3*p - 19. Calculate v(10).
11
Let u(j) = -33*j + 4. What is u(-2)?
70
Let m(f) = f**2 - 13*f - 18. What is m(15)?
12
Let v(d) = -5*d - 18. Determine v(-15).
57
Let i(l) = l**3 - 25*l**2 - 28*l + 58. What is i(26)?
6
Let s(o) = -o**2 - 11*o - 25. Determine s(-8).
-1
Let t(s) = -20*s**2 + 173*s + 58. What is t(9)?
-5
Let q(o) = -2*o**3 - 2*o**2 - o. Give q(-1).
1
Let p(i) = 8*i**2 + 24*i - 23. Give p(1).
9
Let j(h) = -h**3 - 7*h**2 + 12*h + 14. What is j(-8)?
-18
Let k(y) = y**3 + 7*y - 22. What is k(0)?
-22
Let d(h) = -h**2 + 26*h - 93. Calculate d(22).
-5
Let s(j) = 4*j**2 + 109*j + 314. Determine s(-24).
2
Let i(r) = -r**2 - 36*r - 290. Determine i(-13).
9
Let u(t) = 3*t**2 + 2*t + 1. Give u(-5).
66
Let t(i) = 2*i + 5. Calculate t(-6).
-7
Let b(t) = t**3 - 3*t**2 - 5*t + 4. Calculate b(5).
29
Let v(s) = -s**3 + s**2 + s + 12. Give v(0).
12
Let m(y) = 2*y + 80. Determine m(-35).
10
Let z(w) = 35*w - 420. Calculate z(12).
0
Let o(f) = -2*f**2 + 38*f + 14. Calculate o(20).
-26
Let i(m) = -4*m - 31. Determine i(-10).
9
Let l(m) = 12*m - 18. Give l(5).
42
Let r(a) = -40*a**3 + a**2 - 3*a - 2. Give r(-1).
42
Let a(x) = -x**3 - 15*x**2 + 15*x - 13. Give a(-16).
3
Let r(y) = -11*y + 452. Calculate r(42).
-10
Let j(r) = r**3 - 6*r**2 + 2*r - 4. Determine j(6).
8
Let x(d) = -9*d**2 + d. Calculate x(1).
-8
Let y(t) = 2*t**3 - 14*t**2 - 6. Give y(7).
-6
Let o(b) = -14*b + 15. Calculate o(-2).
43
Let p(d) = -d**2 + 26*d + 359. Give p(-10).
-1
Let d(j) = -j**3 - 5*j**2 - j - 10. Calculate d(-5).
-5
Let z(r) = -6*r**3 - 3*r**2 + 3*r - 2. Determine z(1).
-8
Let j(w) = -w**2 - 8*w - 8. What is j(-7)?
-1
Let v(o) = 2*o - 2. Give v(3).
4
Let q(l) = l**2 - l - 156. What is q(-12)?
0
Let m(i) = i**3 - 12*i**2 + 9*i + 12. Give m(11).
-10
Let l(j) = j**3 + 18*j**2 + j + 22. Give l(-18).
4
Let m(d) = -d**3 - 3*d**2. Determine m(-3).
0
Let i(c) = c + 1. Give i(7).
8
Let t(b) = -b**3 + 16*b**2 - 14*b - 17. What is t(15)?
-2
Let b(i) = 4*i**2 + 2*i + 3. Determine b(-3).
33
Let y(t) = t**3 + 15*t**2 + 33*t - 26. Calculate y(-12).
10
Let s(d) = -22*d - 1. Give s(-1).
21
Let p(n) = -n**3 - 6*n**2 - n - 5. Give p(-6).
1
Let z(t) = 2*t**3 + 34*t**2 + 31*t - 9. Give z(-16).
7
Let h(g) = -g**3 + 6*g**2 - 5*g - 5. Determine h(5).
-5
Let u(g) = -g**2 - 20*g + 255. Give u(-29).
-6
Let r(t) = 9*t + 150. Calculate r(-16).
6
Let y(v) = 5*v + 9. Give y(-10).
-41
Let t(s) = s**3 + 5*s**2 - 4. Determine t(-4).
12
Let p(d) = d**3 - 8*d**2 + 9*d - 1. Give p(6).
-19
Let t(p) = 5*p - 16. Give t(9).
29
Let g(r) = r**3 + 8*r**2 - 6*r + 5. Give g(-8).
53
Let m(u) = 4*u + 20. Give m(-7).
-8
Let n(d) = d**3 + 12*d**2 - 2. Give n(-12).
-2
Let h(m) = 10*m - 1. Give h(-1).
-11
Let s(r) = -33*r + 2. What is s(-1)?
35
Let l(v) = -v**2 + v + 1. Determine l(-4).
-19
Let x(i) = i**2 + i - 3. Calculate x(-5).
17
Let u(x) = 17*x + 39. What is u(-2)?
5
Let w(i) = i + 3. Determine w(-12).
-9
Let q(o) = -o**2 - 13*o - 9. Calculate q(-12).
3
Let d(w) = 8*w - 157. What is d(19)?
-5
Let r(u) = -u**2 + 15*u + 9. What is r(16)?
-7
Let z(b) = b**3 + b**2 - 3*b - 2. Calculate z(0).
-2
Let y(a) = a - 9. Calculate y(-7).
-16
Let t(n) = -10*n**2 - 4*n + 1. Give t(-2).
-31
Let l(b) = b - 4. Determine l(6).
2
Let r(j) = -j**2 + 7*j - 4. What is r(9)?
-22
Let l(g) = -g + 14. What is l(32)?
-18
Let n(q) = -q**3 + 6*q**2 + 9*q + 6. Calculate n(7).
20
Let p(k) = k**3 - 10*k**2 + 8*k + 12. Calculate p(9).
3
Let q(h) = -h**3 + 6*h**2 + 24*h - 65. What is q(8)?
-1
Let s(u) = 3*u - 7. Determine s(-3).
-16
Let u(m) = 4*m**2 - 3*m + 3. What is u(1)?
4
Let v(t) = 142*t**3 + 2*t**2 - 3*t + 2. Give v(1).
1
|
{
"pile_set_name": "DM Mathematics"
}
|
se -a + 2337 = 3*s - 2*a, 0 = 5*a - 15. Let g = 1104 - s. List the prime factors of g.
2, 3
Suppose c - 2*m = -61 - 196, 3*c + 735 = -3*m. Let d = c + 362. What are the prime factors of d?
113
Suppose 3*d + 72 = 7*d. Suppose 2*n = -d - 2. What are the prime factors of ((-234)/n)/((-3)/(-10))?
2, 3, 13
Let g(c) be the second derivative of -7*c**3/2 - c**2 - 3*c. Let k be g(-5). Suppose -k + 31 = -2*l. What are the prime factors of l?
2, 3
Let x(u) = -49*u + 396. Let d be x(8). Let f be (-27 + 1)*(-1)/1. Suppose -d*a = -f - 46. List the prime factors of a.
2, 3
Let o = -2 - -7. Suppose -o*d - 5 = -10. Suppose -d = 3*h - 34. List the prime factors of h.
11
Suppose -3*g + 9 = 3. Suppose 32 = 2*w + g*w. List the prime factors of (w/(-6))/(8/(-36)).
2, 3
Suppose 0 = -0*a - 4*a, 3*a = -4*z + 1044. List the prime factors of z.
3, 29
Let x(o) = o + 13. Suppose 0 = g + 2*g + z + 24, -15 = g - 2*z. Let u be x(g). Suppose -5*c + c - u*y = -28, 1 = -y. List the prime factors of c.
2
Let m be 1 - 0/(1 - 2). Let f(j) = -26*j + 1 + m + 47*j. What are the prime factors of f(3)?
5, 13
Let r be 1/(6/(-21) - (-34)/70). Suppose -r*b + 57 = -38. List the prime factors of b.
19
Suppose 7*p - 3*p = 12. Suppose 3*j - 4*o = 16, -p*j + 5*o = -14 - 3. Suppose 25 - 129 = -j*t. List the prime factors of t.
2, 13
Let i(m) be the second derivative of -m**3/2 + 2*m**2 - 23*m. What are the prime factors of i(0)?
2
Let b = 3911 + -1343. What are the prime factors of b?
2, 3, 107
Suppose 2*n + 2 = -134. Let l = n - -116. What are the prime factors of l?
2, 3
Suppose -78*d + 68*d = -3520. List the prime factors of d.
2, 11
Suppose -4*r - 555 = -4*b - r, -3*b + 435 = 4*r. Suppose -5*w - b = -2*i, -2*i - 3*i - 2*w = -425. List the prime factors of i.
83
Let s be (-3 - (-5)/2)/((-1)/112). Suppose 0 = -y + 9*y - s. What are the prime factors of y?
7
Suppose y - 5 = -1. Suppose -y*j = -3*u - 79, 0*j - 71 = -4*j - 5*u. Let o = 33 - j. What are the prime factors of o?
2, 7
Suppose 4*s - 4 - 5 = o, s - 12 = -3*o. Suppose 112 = s*i + 10. What are the prime factors of i?
2, 17
Let a = -31 + 33. Suppose 2*k - 116 = -2*q, 5*q = -a*k + 2 + 297. List the prime factors of q.
61
Let c = -1 + -2. Let w(b) be the first derivative of 5*b**3/3 + 2*b**2 + b - 10. What are the prime factors of w(c)?
2, 17
Let u = 21 - 13. Let x(m) = -m**3 + 17*m**2 + 19*m - 17. Let k be x(18). Suppose -w - k = -u. What are the prime factors of w?
7
Let j(b) = b**3 + 12*b**2 - 28*b - 14. Let l be j(-14). List the prime factors of (1 + l)/((0 + 7)/(-98)).
2, 7, 13
Let b = 8 - -107. Let j = -47 + b. List the prime factors of j.
2, 17
Suppose 0 = -6*w + 13 + 23. Suppose 444 = -w*u + 84. Let c = u - -120. What are the prime factors of c?
2, 3, 5
Let y(t) = 3*t + 4. Let z(x) = 4*x + 3. Let m(w) = 6*y(w) - 5*z(w). What are the prime factors of m(-9)?
3
Let c = 62 - -247. List the prime factors of c.
3, 103
Let z(l) be the first derivative of l**4/4 - 4*l**3/3 + 5*l**2 + 7*l + 7. What are the prime factors of z(5)?
2, 41
Let m(n) = n + 8. Let u be m(5). Let b = u - 14. List the prime factors of 3/(3/44) - b.
3, 5
Let c = -7 + 8. Let z = c - -2. Suppose -2*b + 5*b - 48 = -z*h, -4*h = 2*b - 54. List the prime factors of h.
11
Suppose 0 = -2*q - 4*u + 8534, 2*u = -4*q + 3*u + 17077. What are the prime factors of q?
3, 1423
Let k(x) = 14*x**2 - x. Let l be k(1). Suppose -l*j = -15*j. Suppose 5*s - 105 - 125 = j. What are the prime factors of s?
2, 23
Suppose 0 = 5*o + 4*u + 17, -5 = u - 2. Let i(a) = -a**3 - 3*a**2 + 16*a - 10. Let f be i(-6). What are the prime factors of ((-2)/f)/(o/12)?
2, 3
Suppose 0 = 4*j - 3*f - 20, -4*j + 3*j + f + 6 = 0. Suppose -106 = -g + 5*n, 4*g + j*n = 5*n + 356. What are the prime factors of g?
2, 43
Let n(a) = -a**3 - a**2 + a + 1. Let p(w) = -3*w**3 - 19*w**2 - 8*w + 8. Let b(f) = 4*n(f) - p(f). Let v be b(17). What are the prime factors of (8/(-6))/(9/v)?
2, 7
Let v be (-5 + 4 - 1)*(-2)/(-4). What are the prime factors of (-6)/(-39) - v/((-26)/(-594))?
23
Suppose 3*i = 117 + 726. Suppose -5*u - 2*h + 55 + i = 0, -3*u + 2*h + 208 = 0. Suppose u = 2*x + 2*x. List the prime factors of x.
17
Suppose -8*r = -6*r + 4. What are the prime factors of (-3 + (-27)/2)*r?
3, 11
Let h = 1492 + -947. What are the prime factors of h?
5, 109
Let r be (-2)/4*2 + 26. Suppose 3*k - r = -1. Suppose w - 11 = -2*w - 4*f, 3*f + k = w. List the prime factors of w.
5
Suppose 0 = 9*j - 8*j + 5*r - 735, 4*j = 3*r + 3032. List the prime factors of j.
5, 151
Let d(x) = x**2 + 14*x - 31. List the prime factors of d(-17).
2, 5
Suppose 4*q = -4*w - 5 - 3, 5*q + 5 = -4*w. Let p = 7 + w. Suppose 4 = p*i - 78. What are the prime factors of i?
41
Suppose 74*s - 62*s - 4872 = 0. What are the prime factors of s?
2, 7, 29
Suppose 2*m - 280 = -2*q, 0 = -4*m + 3*q + 328 + 204. Suppose 5*y + m = 586. What are the prime factors of y?
2, 3, 5
Let s = -168 + 253. Suppose 6*c = c - s. Let a = c + 70. What are the prime factors of a?
53
Let h(z) = -5*z - 18. Let q(c) be the second derivative of -c**3/2 - 9*c**2/2 + 3*c. Let m(n) = -4*h(n) + 7*q(n). What are the prime factors of m(-9)?
2, 3
Suppose 2 + 2 = -s. Let l be 1 - 0 - (s - 0). Suppose l + 25 = h - 3*n, 4*n = 0. List the prime factors of h.
2, 3, 5
Let q(r) = -26*r + 9. Let a be q(-5). Let j = 216 - a. What are the prime factors of j?
7, 11
Suppose 4*a + 2*u - 290 = 0, 3*u + 265 = 4*a - 0*u. Let p = a + -29. List the prime factors of p.
41
Suppose 15*z - 16*z = -56. Let s = z - 47. What are the prime factors of s?
3
Suppose -4*g - 5*z + 2186 = 365, 2*g + 4*z = 912. Suppose 3*w + 2*r + g = -0*r, -301 = 2*w + 3*r. What are the prime factors of (-1)/3*(w - 7)?
53
Suppose -9*q + 12 + 6 = 0. Suppose 5*s = o - 13 - 59, 0 = q*o + s - 111. List the prime factors of o.
3, 19
Let t be ((-45)/12)/((-5)/20). Suppose -t*o + 12 = -14*o. List the prime factors of o.
2, 3
Suppose -5*p - 9 + 19 = 0. List the prime factors of ((-95)/p)/((-3)/6).
5, 19
List the prime factors of 30/18*20*(-108)/(-10).
2, 3, 5
Let g be ((-6)/4)/((-42)/280). Let r be (-8)/(-10) - 788/g. Let b = 146 + r. List the prime factors of b.
2, 17
Let y(k) = -18*k - 15. Let n(c) = -10*c - 7. Let q(w) = 5*n(w) - 3*y(w). What are the prime factors of q(8)?
2, 3, 7
Let z be 437 + ((-27)/36 - 1/4). Suppose -z = -2*t - 124. What are the prime factors of t?
2, 3, 13
Suppose 5*f - 3 - 22 = 5*a, -4*a - 16 = -2*f. List the prime factors of f/11 - (-7 - (-8456)/(-77)).
3, 13
Suppose -2*c - 2*b + 153 = -b, -4*b = c - 73. Let p = -112 + c. Let i = p + 59. List the prime factors of i.
2, 3
List the prime factors of 2*2/4 + (-2574)/(-6).
2, 5, 43
Suppose -l + x = -155, 0*x = 3*x + 12. List the prime factors of l.
151
Suppose -5*i + 4 = 5*g - 6, 3*i + 15 = 0. Let m = -5 + g. Suppose 3*w - 3*h - 33 = 0, 3*w - 18 = -0*h - m*h. What are the prime factors of w?
2
Let x = 86 - 14. Suppose -5*u - x = 4*u. List the prime factors of 3*-2*52/u.
3, 13
Suppose -599 = -2*a - s, -3*a + 902 = -2*s - 0*s. What are the prime factors of a?
2, 3, 5
Suppose -3*r - 3 = -0. Suppose 4*u - 3*t + 37 = 0, 5*u + t + 70 = -0*t. What are the prime factors of 4 + r - u/1?
2
Let b = 22 - 28. What are the prime factors of 81 + (0 - b)/3?
83
What are the prime factors of ((-267)/(-12))/((-1)/(-4)) + -3?
2, 43
Let c be 2 + 4/(-4 + 6). Suppose 12 = c*w - 7*w. List the prime factors of -4 - w - -3 - -10.
13
Suppose -8*b - 2104 + 6600 = 0. List the prime factors of b.
2, 281
Suppose 2*z - 8 = -0*z. Let g be 333/63 - z/14. Suppose 0 = g*q - 2*c - 115 + 22, 3*q - 31 = -5*c. List the prime factors of q.
17
Suppose t - 3*h = -0*t + 16, t + 5*h = -24. Suppose -b + 4 = t. Let x = 16 + b. List the prime factors of x.
19
Let v = -140 - -636. List the prime factors of v.
2, 31
Suppose -4*w + 3*j + 21 = -7, -28 = -4*w + 2*j. Let y = -2 + 6. Suppose y*h = 25 + w. List the prime factors of h.
2
Let w(r) = r**3 - 8*r**2 + 7*r - 4. Let y be w(7). List the prime factors of y/(-10) - 193/(-5).
3, 13
Let z be 5/((-60)/(-8))*3. Let i(r) = -r**2 - 4*r**2 + r + 6*r**z + 8 - 9*r. List the prime factors of i(9).
17
Suppose -22*w = 14*w - 12564. List the prime factors of w.
349
Suppose -5*r + 530 = w, 3*w + 9*r - 1640 = 4*r. List the prime factors of w.
3, 5, 37
Let i(y) = 2 + 3*y + 0*y + 3*y + 1. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
is the m'th term of -27, -22, -7, 24, 77, 158, 273, 428?
m**3 - m**2 + m - 28
What is the i'th term of 139, 149, 181, 247, 359, 529, 769?
2*i**3 - i**2 - i + 139
What is the b'th term of -15, -30, -45, -60, -75?
-15*b
What is the g'th term of 3048, 3050, 3054, 3060, 3068, 3078, 3090?
g**2 - g + 3048
What is the c'th term of 108, 218, 328, 438, 548?
110*c - 2
What is the j'th term of -3357, -3359, -3361, -3363?
-2*j - 3355
What is the w'th term of 311, 627, 945, 1265?
w**2 + 313*w - 3
What is the y'th term of -48, -70, -98, -132, -172, -218, -270?
-3*y**2 - 13*y - 32
What is the o'th term of 42883, 42882, 42881, 42880, 42879?
-o + 42884
What is the u'th term of 91, 92, 93, 94?
u + 90
What is the c'th term of 96, 97, 100, 105?
c**2 - 2*c + 97
What is the q'th term of -31, -163, -487, -1087, -2047?
-14*q**3 - 12*q**2 + 2*q - 7
What is the j'th term of -3, -18, -51, -108, -195, -318, -483?
-j**3 - 3*j**2 + j
What is the o'th term of -105, -220, -343, -480, -637?
-o**3 + 2*o**2 - 114*o + 8
What is the f'th term of 384, 351, 296, 219, 120?
-11*f**2 + 395
What is the q'th term of -77, -148, -205, -242, -253, -232, -173, -70?
q**3 + q**2 - 81*q + 2
What is the s'th term of -38, -65, -92, -119?
-27*s - 11
What is the p'th term of 752, 753, 754?
p + 751
What is the h'th term of 58, 77, 108, 151, 206, 273?
6*h**2 + h + 51
What is the a'th term of 316, 314, 310, 304, 296, 286?
-a**2 + a + 316
What is the b'th term of -149, -567, -1263, -2237?
-139*b**2 - b - 9
What is the o'th term of -454, -920, -1398, -1888, -2390, -2904?
-6*o**2 - 448*o
What is the x'th term of 8, 40, 130, 308, 604, 1048, 1670, 2500?
5*x**3 - x**2 + 4
What is the n'th term of -14, -9, 6, 37, 90, 171?
n**3 - n**2 + n - 15
What is the a'th term of -197, -202, -211, -224, -241, -262, -287?
-2*a**2 + a - 196
What is the m'th term of 1450, 2899, 4348, 5797, 7246, 8695?
1449*m + 1
What is the w'th term of 25, 53, 83, 115, 149?
w**2 + 25*w - 1
What is the t'th term of -424, -424, -422, -418?
t**2 - 3*t - 422
What is the g'th term of -2684, -5370, -8056?
-2686*g + 2
What is the o'th term of -13, 49, 217, 545, 1087?
9*o**3 - o**2 + 2*o - 23
What is the g'th term of -4744, -4742, -4738, -4732, -4724, -4714?
g**2 - g - 4744
What is the x'th term of -2147, -2144, -2153, -2180, -2231?
-x**3 + 10*x - 2156
What is the o'th term of 1634, 1692, 1846, 2144, 2634, 3364?
8*o**3 + 2*o + 1624
What is the y'th term of 80, 118, 218, 410, 724, 1190, 1838, 2698?
5*y**3 + y**2 + 74
What is the g'th term of -45, -153, -339, -603, -945, -1365?
-39*g**2 + 9*g - 15
What is the w'th term of -24, -45, -66, -87?
-21*w - 3
What is the l'th term of 3618, 3619, 3620, 3621, 3622?
l + 3617
What is the w'th term of -194, -366, -524, -668?
7*w**2 - 193*w - 8
What is the s'th term of -82, -132, -146, -106, 6, 208?
3*s**3 - 71*s - 14
What is the p'th term of 14, 57, 100, 143?
43*p - 29
What is the s'th term of -6, -71, -222, -495, -926, -1551, -2406, -3527?
-6*s**3 - 7*s**2 - 2*s + 9
What is the v'th term of 9, 13, 17, 21?
4*v + 5
What is the s'th term of -7, -16, -25, -34?
-9*s + 2
What is the k'th term of -28, -54, -80, -106, -132, -158?
-26*k - 2
What is the c'th term of 45, 58, 71, 78, 73, 50, 3?
-c**3 + 6*c**2 + 2*c + 38
What is the s'th term of 302, 312, 322, 332?
10*s + 292
What is the w'th term of -11, -53, -165, -383, -743, -1281, -2033?
-6*w**3 + w**2 - 3*w - 3
What is the f'th term of -202, -205, -208, -211, -214?
-3*f - 199
What is the y'th term of 114, 122, 130, 138, 146?
8*y + 106
What is the l'th term of -127, -247, -457, -763, -1171, -1687?
-l**3 - 39*l**2 + 4*l - 91
What is the t'th term of -21, -34, -47, -60, -73?
-13*t - 8
What is the y'th term of 61, 215, 463, 799, 1217, 1711?
-y**3 + 53*y**2 + 2*y + 7
What is the v'th term of 400, 363, 328, 295, 264?
v**2 - 40*v + 439
What is the q'th term of 78, 72, 66?
-6*q + 84
What is the h'th term of 58, 106, 142, 160, 154, 118?
-h**3 + 55*h + 4
What is the m'th term of 132, 197, 274, 363?
6*m**2 + 47*m + 79
What is the a'th term of -89, -137, -185, -233?
-48*a - 41
What is the w'th term of 23884, 23886, 23888?
2*w + 23882
What is the z'th term of 71, 146, 209, 254, 275, 266, 221, 134?
-z**3 + 82*z - 10
What is the w'th term of 337, 339, 343, 349, 357, 367?
w**2 - w + 337
What is the f'th term of -4, -27, -90, -211, -408?
-3*f**3 - 2*f**2 + 4*f - 3
What is the y'th term of 15, 43, 83, 141, 223?
y**3 + 21*y - 7
What is the z'th term of -377, -380, -401, -446, -521, -632, -785?
-z**3 - 3*z**2 + 13*z - 386
What is the h'th term of -61, -60, -59?
h - 62
What is the s'th term of 85, 129, 173, 217, 261?
44*s + 41
What is the t'th term of -21, -132, -433, -1020, -1989, -3436?
-16*t**3 + t**2 - 2*t - 4
What is the s'th term of -22, -69, -142, -253, -414?
-2*s**3 - s**2 - 30*s + 11
What is the c'th term of -52, -50, -48?
2*c - 54
What is the c'th term of -161, -171, -193, -233, -297, -391?
-c**3 - 3*c - 157
What is the i'th term of -110, -218, -326, -434?
-108*i - 2
What is the c'th term of 12, 4, -22, -78, -176?
-2*c**3 + 3*c**2 - 3*c + 14
What is the t'th term of -2, 119, 452, 1105, 2186, 3803, 6064?
18*t**3 - 2*t**2 + t - 19
What is the y'th term of -333, -675, -1017, -1359, -1701?
-342*y + 9
What is the r'th term of 20, 23, 26, 29, 32?
3*r + 17
What is the l'th term of -84, -132, -172, -198, -204, -184, -132?
l**3 - 2*l**2 - 49*l - 34
What is the p'th term of 0, -22, -60, -114?
-8*p**2 + 2*p + 6
What is the c'th term of 1647, 1650, 1653, 1656, 1659?
3*c + 1644
What is the j'th term of -31, -71, -121, -187, -275, -391, -541?
-j**3 + j**2 - 36*j + 5
What is the f'th term of -7, -20, -35, -52, -71, -92?
-f**2 - 10*f + 4
What is the v'th term of 219, 438, 657, 876, 1095?
219*v
What is the d'th term of 16, 16, 20, 28?
2*d**2 - 6*d + 20
What is the h'th term of -81, -159, -235, -309?
h**2 - 81*h - 1
What is the s'th term of -13, -42, -93, -166, -261?
-11*s**2 + 4*s - 6
What is the k'th term of -2055, -2060, -2067, -2076, -2087, -2100?
-k**2 - 2*k - 2052
What is the k'th term of 630, 630, 628, 624?
-k**2 + 3*k + 628
What is the g'th term of -1, -8, -29, -70, -137, -236, -373?
-g**3 - g**2 + 3*g - 2
What is the r'th term of -9, -31, -63, -105, -157, -219, -291?
-5*r**2 - 7*r + 3
What is the f'th term of 79, -6, -233, -674, -1401, -2486, -4001, -6018?
-12*f**3 + f**2 - 4*f + 94
What is the l'th term of 26701, 26703, 26705, 26707, 26709, 26711?
2*l + 26699
What is the a'th term of 58, 56, 54, 52?
-2*a + 60
What is the d'th term of -746, -751, -758, -767, -778, -791?
-d**2 - 2*d - 743
What is the v'th term of 36, 30, 24, 18, 12?
-6*v + 42
What is the a'th term of 48, 74, 100, 126, 152?
26*a + 22
What is the v'th term of -2011, -2020, -2041, -2080, -2143, -2236, -2365?
-v**3 - 2*v - 2008
What is the f'th term of -139, -140, -143, -148, -155, -164?
-f**2 + 2*f - 140
What is the j'th term of 96, 90, 82, 72, 60?
-j**2 - 3*j + 100
What is the x'th term of -268, -1076, -2422, -4306?
-269*x**2 - x + 2
What is the o'th term of 8805, 8803, 8801, 8799, 8797, 8795?
-2*o + 8807
What is the d'th term of -158, -166, -176, -188?
-d**2 - 5*d - 152
What is the h'th term of 49, 25, -19, -83, -167, -271?
-10*h**2 + 6*h + 53
What is the b'th term of -6, -23, -54, -93, -134, -171, -198, -209?
b**3 - 13*b**2 + 15*b - 9
What is the m'th term of 172, 201, 248, 313?
9*m**2 + 2*m + 161
What is the g'th term of 6, 58, 196, 462, 898, 1546, 2448, 3646?
7*g**3 + g**2 - 2
What is the p'th term of -12, 60, 190, 384, 648, 988, 1410, 1920?
p**3 + 23*p**2 - 4*p - 32
What is the p'th term of -300, -605, -934, -1299, -1712, -2185?
-2*p**3 - 291*p - 7
What is the z'th term of -33, -38, -43, -48?
-5*z - 28
What is the t'th term of 29, 73, 147, 251, 385, 549, 743?
15*t**2 - t + 15
What is the f'th term of -1, 29, 101, 233, 443, 749, 1169?
3*f**3 + 3*f**2 - 7
What is the z'th term of 201, 401, 601, 801?
200*z + 1
What is the b'th term of 16, 20, 42, 94, 188, 336, 550?
2*b**3 - 3*b**2 - b + 18
What is the z'th term of 729, 652, 561, 450, 313, 144, -63?
-z**3 - z**2 - 67*z + 798
What is the c'th term of 2303, 2303, 2305, 2309?
c**2 - 3*c + 2305
What is the o'th term of 53, 42, 19, -22, -87, -182, -313?
-o**3 - 4*o + 58
What is the v'th term of 168, 181, 194, 207, 220?
13*v + 155
What is the t'th term of 233, 464, 695, 92
|
{
"pile_set_name": "DM Mathematics"
}
|
57
What is the square root of 81217829 to the nearest integer?
9012
What is 241706567 to the power of 1/4, to the nearest integer?
125
What is 142019863 to the power of 1/6, to the nearest integer?
23
What is the square root of 244169498 to the nearest integer?
15626
What is 1808737874 to the power of 1/7, to the nearest integer?
21
What is the square root of 123307791 to the nearest integer?
11104
What is 3925390354 to the power of 1/2, to the nearest integer?
62653
What is 55252671 to the power of 1/4, to the nearest integer?
86
What is the eighth root of 102678627 to the nearest integer?
10
What is the sixth root of 130046569 to the nearest integer?
23
What is the square root of 301210086 to the nearest integer?
17355
What is the seventh root of 5374256 to the nearest integer?
9
What is 1045237840 to the power of 1/2, to the nearest integer?
32330
What is the square root of 19731809 to the nearest integer?
4442
What is the square root of 1080233533 to the nearest integer?
32867
What is 24822309 to the power of 1/3, to the nearest integer?
292
What is the third root of 416491643 to the nearest integer?
747
What is 315629212 to the power of 1/2, to the nearest integer?
17766
What is the square root of 55110091 to the nearest integer?
7424
What is the cube root of 4094174865 to the nearest integer?
1600
What is the third root of 528896318 to the nearest integer?
809
What is 4925888876 to the power of 1/5, to the nearest integer?
87
What is the fourth root of 300694526 to the nearest integer?
132
What is the square root of 911873722 to the nearest integer?
30197
What is the eighth root of 62440721 to the nearest integer?
9
What is the cube root of 106891253 to the nearest integer?
475
What is the square root of 26657596 to the nearest integer?
5163
What is 108981411 to the power of 1/3, to the nearest integer?
478
What is the square root of 61535538 to the nearest integer?
7844
What is the sixth root of 157014444 to the nearest integer?
23
What is the fourth root of 479576807 to the nearest integer?
148
What is the seventh root of 1198135625 to the nearest integer?
20
What is the fourth root of 111317313 to the nearest integer?
103
What is 41695251 to the power of 1/2, to the nearest integer?
6457
What is the cube root of 346553424 to the nearest integer?
702
What is the ninth root of 394347943 to the nearest integer?
9
What is the square root of 271448898 to the nearest integer?
16476
What is 1044769691 to the power of 1/3, to the nearest integer?
1015
What is 176901838 to the power of 1/3, to the nearest integer?
561
What is 622940600 to the power of 1/5, to the nearest integer?
57
What is the ninth root of 24469442 to the nearest integer?
7
What is 6173446360 to the power of 1/2, to the nearest integer?
78571
What is 610485680 to the power of 1/8, to the nearest integer?
13
What is the square root of 207850222 to the nearest integer?
14417
What is the third root of 69778118 to the nearest integer?
412
What is 24425337 to the power of 1/2, to the nearest integer?
4942
What is 96523223 to the power of 1/7, to the nearest integer?
14
What is 172333983 to the power of 1/6, to the nearest integer?
24
What is the cube root of 860554847 to the nearest integer?
951
What is the seventh root of 368138 to the nearest integer?
6
What is the square root of 995355822 to the nearest integer?
31549
What is the third root of 79711531 to the nearest integer?
430
What is the fifth root of 31317701 to the nearest integer?
32
What is 6811190386 to the power of 1/2, to the nearest integer?
82530
What is the square root of 104499172 to the nearest integer?
10222
What is the fifth root of 170472545 to the nearest integer?
44
What is the cube root of 3200055994 to the nearest integer?
1474
What is the sixth root of 370268279 to the nearest integer?
27
What is the square root of 1445116704 to the nearest integer?
38015
What is the seventh root of 57537958 to the nearest integer?
13
What is 34137462 to the power of 1/5, to the nearest integer?
32
What is 2796357414 to the power of 1/3, to the nearest integer?
1409
What is 6859834981 to the power of 1/3, to the nearest integer?
1900
What is 42809317 to the power of 1/2, to the nearest integer?
6543
What is the square root of 421029233 to the nearest integer?
20519
What is the square root of 54008615 to the nearest integer?
7349
What is 1165918419 to the power of 1/2, to the nearest integer?
34146
What is 60729982 to the power of 1/2, to the nearest integer?
7793
What is 70250414 to the power of 1/6, to the nearest integer?
20
What is 9902573 to the power of 1/5, to the nearest integer?
25
What is 128284901 to the power of 1/3, to the nearest integer?
504
What is 108649160 to the power of 1/2, to the nearest integer?
10423
What is the cube root of 2053351828 to the nearest integer?
1271
What is the fourth root of 63906025 to the nearest integer?
89
What is the cube root of 64232339 to the nearest integer?
400
What is 1835588716 to the power of 1/6, to the nearest integer?
35
What is the ninth root of 139065749 to the nearest integer?
8
What is 874884474 to the power of 1/2, to the nearest integer?
29578
What is 389893510 to the power of 1/8, to the nearest integer?
12
What is 92423506 to the power of 1/3, to the nearest integer?
452
What is the third root of 384495407 to the nearest integer?
727
What is the fifth root of 190696748 to the nearest integer?
45
What is 1860341053 to the power of 1/9, to the nearest integer?
11
What is the cube root of 137855519 to the nearest integer?
517
What is the square root of 138206436 to the nearest integer?
11756
What is 123478887 to the power of 1/3, to the nearest integer?
498
What is 2569780614 to the power of 1/5, to the nearest integer?
76
What is 61762039 to the power of 1/9, to the nearest integer?
7
What is the third root of 617919053 to the nearest integer?
852
What is 281061281 to the power of 1/8, to the nearest integer?
11
What is the square root of 59838941 to the nearest integer?
7736
What is the fourth root of 638921500 to the nearest integer?
159
What is the square root of 2134917501 to the nearest integer?
46205
What is the fifth root of 344268858 to the nearest integer?
51
What is the third root of 69724405 to the nearest integer?
412
What is 230722980 to the power of 1/4, to the nearest integer?
123
What is 113704069 to the power of 1/9, to the nearest integer?
8
What is 131080710 to the power of 1/7, to the nearest integer?
14
What is 9028936 to the power of 1/2, to the nearest integer?
3005
What is the cube root of 337263850 to the nearest integer?
696
What is the tenth root of 426446559 to the nearest integer?
7
What is 5562309343 to the power of 1/3, to the nearest integer?
1772
What is the fourth root of 1896491202 to the nearest integer?
209
What is the square root of 124947056 to the nearest integer?
11178
What is the third root of 20648552 to the nearest integer?
274
What is the third root of 2156502342 to the nearest integer?
1292
What is 70488295 to the power of 1/6, to the nearest integer?
20
What is the third root of 6967926971 to the nearest integer?
1910
What is the third root of 44630258 to the nearest integer?
355
What is 84868943 to the power of 1/2, to the nearest integer?
9212
What is the third root of 248594822 to the nearest integer?
629
What is the sixth root of 3276411 to the nearest integer?
12
What is 331146605 to the power of 1/4, to the nearest integer?
135
What is 4859756637 to the power of 1/6, to the nearest integer?
41
What is 288383996 to the power of 1/4, to the nearest integer?
130
What is the square root of 456982612 to the nearest integer?
21377
What is 93409448 to the power of 1/10, to the nearest integer?
6
What is 194773941 to the power of 1/5, to the nearest integer?
45
What is the square root of 4721734760 to the nearest integer?
68715
What is the square root of 870566327 to the nearest integer?
29505
What is the square root of 193497772 to the nearest integer?
13910
What is 195297818 to the power of 1/3, to the nearest integer?
580
What is the square root of 292590349 to the nearest integer?
17105
What is 153653477 to the power of 1/4, to the nearest integer?
111
What is the cube root of 380609548 to the nearest integ
|
{
"pile_set_name": "DM Mathematics"
}
|
closest to 0.1 in 8, 487.87, -0.5?
-0.5
Which is the closest to 0.2? (a) 24 (b) 2/521 (c) -3
b
Which is the nearest to 54? (a) 2/11 (b) 0.2 (c) -0.3 (d) -3
b
What is the nearest to 1 in -0.02052, -1, 2, 1/5, 5?
1/5
What is the nearest to 0.1 in 3/4, -5, -13, -0.5, 68?
-0.5
What is the nearest to 22 in 5, -0.4, 7320?
5
Which is the closest to -6? (a) -2 (b) 0.022 (c) 2/5 (d) 1 (e) -30
a
What is the closest to 1 in -1/3, -14, 64/7?
-1/3
Which is the nearest to 2/3? (a) -4 (b) -13 (c) -337 (d) -2 (e) 0.8
e
What is the nearest to 1/4 in -35.1, -0.4, 2, -21?
-0.4
Which is the nearest to -2? (a) 0.323 (b) 0.02 (c) -4 (d) -2 (e) 2
d
Which is the closest to -23? (a) -5 (b) -3 (c) -10
c
Which is the closest to -15.4? (a) -864 (b) -4/5 (c) -0.1
b
Which is the nearest to -100/9? (a) -5 (b) 7 (c) 0.05 (d) 5/6
a
What is the closest to 0.3 in -4, -0.3, 1/3, 116?
1/3
Which is the nearest to 22? (a) -5 (b) 33 (c) 3
b
What is the nearest to 2/9 in 0.7, -11, -1/6, -2/29, -5?
-2/29
Which is the closest to -0.2? (a) -3/4 (b) 0.1 (c) -1 (d) -0.1
d
Which is the closest to 2? (a) -84 (b) 12 (c) 0.04 (d) 1/3
d
Which is the closest to -1/4? (a) 0 (b) -0.1 (c) 15/4 (d) -33 (e) 5/2
b
Which is the closest to -107676? (a) 0.3 (b) 0 (c) 2
b
Which is the closest to 2/9? (a) -0.3 (b) -0.0512 (c) 192 (d) 2/9 (e) -0.4
d
What is the closest to -0.01 in 0.1658, 5, -0.3?
0.1658
What is the closest to 2 in -2, 0.1, 14.888?
0.1
Which is the nearest to 1/3? (a) -0.3 (b) -0.1 (c) 1/4 (d) 50 (e) -3/2
c
What is the closest to 0.02 in 11, 0, -1/2, -1/4?
0
What is the nearest to 64.3 in -25, -4, -3?
-3
Which is the nearest to 2/13? (a) -0.5 (b) -99/5 (c) 10
a
What is the closest to -2/3 in -3, -2, 2/401, -0.5?
-0.5
What is the closest to 1 in -0.09, 2/17, -4, 199, 1/18?
2/17
What is the nearest to 3/2 in 0.04, -43/2, 0.2, -0.018, -1/5?
0.2
Which is the nearest to 0.459? (a) 0.5 (b) -4/7 (c) -0.5 (d) 2/3
a
Which is the nearest to 309? (a) 3 (b) 0.13 (c) 1/4
a
Which is the nearest to 0? (a) -3250 (b) -3/8 (c) -0.07
c
What is the closest to -1 in -2/17, 4, -43, -4, -0.5?
-0.5
Which is the nearest to 0.2? (a) 4 (b) 1/5 (c) -0.07091
b
Which is the closest to -1/3? (a) 4/5 (b) 52 (c) -10.7
a
What is the nearest to -0.3 in -12, -14911, 0?
0
What is the nearest to -20 in 1.14, 2, -3?
-3
Which is the nearest to 12/29? (a) 5 (b) -4 (c) -64 (d) -1/5 (e) -1/4
d
What is the nearest to 2/3 in 3, 4, 0.1, 7317?
0.1
Which is the closest to -4.1? (a) 3351 (b) 2 (c) 2/7
c
Which is the nearest to 3/8? (a) -3 (b) 1 (c) -2 (d) 0.3 (e) 4
d
What is the nearest to -4978 in -2, 0.7, -4, 2?
-4
Which is the closest to -0.2? (a) 6 (b) 4.03 (c) -2/5
c
What is the nearest to 89 in -17.9, 3, 5/2?
3
What is the nearest to -1/3 in 0.4, 5, -167/2, -0.039?
-0.039
What is the nearest to -2/29 in -22.95, -0.1, -2?
-0.1
What is the nearest to 1/3 in -1, 157/5, 13?
-1
What is the nearest to -15 in 4, 1, 6.5, -4, 0.2?
-4
Which is the nearest to 0? (a) -1/13 (b) 2/11 (c) -0.4 (d) -0.59
a
What is the nearest to -3.51 in 1/19, -0.1, -3?
-3
What is the nearest to 1/35 in -78/7, -24/7, 0?
0
What is the nearest to -1 in -1, -2226, -0.6, -2?
-1
What is the nearest to 0 in -0.41, -109, 3?
-0.41
What is the closest to -2 in -1/4, 1.4, 0.2, -0.1, -33?
-1/4
What is the nearest to 1 in -0.4, 4, 1/13, -2/11, -1068?
1/13
What is the nearest to 85 in -168, 0.5, 3/2, 1/3?
3/2
What is the nearest to -1/12 in -5, 1/2, -1.4, 19?
1/2
Which is the nearest to 0.01? (a) 0.1 (b) 7 (c) -253 (d) -0.5
a
What is the nearest to 14 in 1/3, -5, -0.5, 52, -2?
1/3
What is the closest to -0.018 in 51, -4, -0.2, 0?
0
What is the closest to 0.272 in 5, 0, -0.4, -45, 4?
0
What is the nearest to -16618 in 0.1, -0.1, 3/2, -3?
-3
What is the closest to 1/3 in 2, -0.3, -209, 2/27?
2/27
What is the nearest to 3 in 5, -0.2, 452?
5
Which is the nearest to 14.08? (a) 0.4 (b) -0.1 (c) 1.9 (d) 0.3
c
Which is the nearest to -2/3? (a) -21 (b) 0.3 (c) 18/5
b
What is the nearest to -1.721 in 4, -3, -2/9?
-3
Which is the closest to -5/4? (a) -49 (b) -0.03 (c) -2/23
c
Which is the nearest to -2/3? (a) -1/5 (b) -0.04 (c) 9 (d) -5
a
What is the nearest to -7 in 0.3, 2/29, -39?
2/29
Which is the closest to 0.1? (a) -0.129 (b) 3 (c) 1 (d) 2/13
d
Which is the closest to -69? (a) -3 (b) 4/7 (c) 2/11
a
Which is the closest to 0? (a) -23 (b) 19 (c) 1/2
c
Which is the nearest to 0.9? (a) -0.4 (b) -1/3 (c) 0.4 (d) 4
c
Which is the closest to 1? (a) 0.057 (b) 2/25 (c) -0.3 (d) -3
b
What is the closest to -1/2 in -1.29, 4/15, 2/9?
2/9
What is the nearest to -1 in 2/11, 1/5, -4, -47/4, -0.5?
-0.5
What is the closest to 1/102 in 0.1, -12, -0.05, -3/11?
-0.05
What is the nearest to 0.39 in -531, 4, 6/7, -1?
6/7
What is the closest to 4/15 in 2/9, -4/5, 1/5, 244?
2/9
What is the nearest to -2/9 in 4/1137, -0.07, 0.5?
-0.07
What is the nearest to -0.2 in -0.1, 1/11, 4, 242?
-0.1
Which is the nearest to -0.6? (a) 0.4 (b) 11 (c) -92 (d) 2 (e) -1
e
Which is the closest to -2? (a) -0.05 (b) -0.3 (c) -65
b
What is the closest to 0 in -2/7, -2, 0.3, -290.12?
-2/7
Which is the nearest to 1/1037? (a) 1 (b) -4/73 (c) -0.5
b
What is the nearest to -153.942 in 1/8, 0.3, -4/7, 8/5?
-4/7
What is the closest to -326.5 in 16/17, -0.3, -1/2?
-1/2
Which is the nearest to 117? (a) 6 (b) 0 (c) 1
a
Which is the nearest to 7? (a) 4/5 (b) 45 (c) -3/4 (d) 2/7 (e) -2
a
Which is the nearest to 3? (a) -1 (b) 21879 (c) -3 (d) 0.4
d
What is the closest to -1 in -1, -11/3, -8/3, 3?
-1
What is the closest to -0.1 in -1/291, 12, 0.5, 0.4, 1/6?
-1/291
What is the nearest to 1 in -1/8, -3, -3/7, -2818?
-1/8
Which is the nearest to -9? (a) 2/9 (b) 17 (c) -1/7 (d) -11
d
Which is the closest to -0.042? (a) 5 (b) -6 (c) -2 (d) 0
d
Which is the closest to 103? (a) 5 (b) 0.2 (c) -36
a
Which is the nearest to -1/4? (a) -0.2 (b) 0 (c) 0.1316 (d) -1
a
Which is the nearest to 0.03? (a) 26 (b) 1/5 (c) -3 (d) 1.1
b
What is the closest to 0 in 4/7, -53, 46/11?
4/7
Which is the closest to -8/27? (a) 2 (b) -32 (c) 0.2
c
What is the closest to -2/19 in -0.13, 2/11, -3?
-0.13
Which is the nearest to 0.06? (a) 0.3 (b) -0.13 (c) -8/9
b
Which is the closest to 0? (a) 0.3 (b) -1.87 (c) -0.19
c
Which is the closest to 4? (a) 75 (b) 4 (c) -1/4 (d) 0.2
b
Which is the nearest to -2? (a) 1 (b) 13 (c) 2 (d) 0.1 (e) 4
d
What is the nearest to 3 in -5, -0.1, 3, 21/2?
3
What is the closest to -0.04 in 5/7, 0.4, 2?
0.4
What is the nearest to -0.1 in 9/5, 2.61, 5, -1, 1/2?
1/2
Which is the nearest to 1? (a) 20/17 (b) -0.03 (c) -1/10 (d) 1 (e) 0.37
d
What is the nearest to 1 in -104, -2, 1.44, 2?
1.44
What is the closest to 1/4 in -2554/11, -0.1, -5, 0?
0
Which is the closest to 12? (a) -0.06 (b) 0.5 (c) 6/109 (d) 0.08
b
What is the nearest to -1/3 in -128, -111, 2/19?
2/19
Which is the nearest to 317? (a) -3 (b) 4 (c) 10 (d) -2/9 (e) 1/2
c
Which is the nearest to 3? (a) 5 (b) -91 (c) -2/15 (d) 0 (e) -208
a
Which is the nearest to 20? (a) 5/26 (b) 0.02 (c) -3
a
What is the nearest to 5196 in 0, 2, -6?
2
Which is the closest to -0.05? (a) -1/7 (b) -0.1 (c) -0.9 (d) -1.9
b
What is the nearest to 1/3 in -1, 185, 2/11, -0.1?
2/11
What is the nearest to 0.05 in -2, -1053, -5?
-2
Which is the nearest to 0? (a) 2 (b) -4 (c) -685 (d) -11
a
Which is the closest to -1/2? (a) -700 (b) 5 (c) 4 (d) -0.1
d
Which is the closest to 1/2? (a) -0.4037 (b) 84 (c) 4
a
Which is the nearest to 5? (a) -0.5 (b) 0 (c) -4 (d) 635 (e) -2/23
b
What is the nearest to 0.5 in 3, 2, -32, -104, 5?
2
Which is the nearest to 2/5? (a) -0.5 (b) 1/5 (c) -0.14 (d) 2
b
What is the nearest to 3 in -3.1427, 4/3, -5?
4/3
What is the nearest to -2 in -1429, 6, 4, -0.3?
-0.3
What is the nearest to 3 in -11, 3, -0.05, 1/38?
3
What is the closest to -2 in -14, -4, 1480.7?
-4
What is the nearest to -0.1 in -0.11, 0.3, -0.16, -1/5, -12?
-0.11
Which is the closest to -1? (a) 0.02 (b) 0 (c) -2/5 (d) -10 (e) 13
c
Which is the nearest to -1? (a) -5 (b) -4 (c) -0.5 (d) 2/7 (e) 1.1
c
What is the closest to 0.01 in 5, -4577, 2?
2
Which is the closest to 2? (a) -10
|
{
"pile_set_name": "DM Mathematics"
}
|
(-144))?
-6/5
Calculate 10/5*30/2*(-3)/(-9).
10
(261/3045)/((-3)/(-15))
3/7
Evaluate 5/2*2/4*18/30.
3/4
Calculate (2*2/8)/(528/10560).
10
What is ((-5)/3)/((4/204)/(165/(-825)))?
17
Calculate (-2)/6*103/((-18540)/(-144)).
-4/15
Calculate (((-13)/(-26))/(1/1))/((-2)/(-16)).
4
Evaluate (25/700)/(14/(-224)).
-4/7
20/(-20*5/40)
-8
Evaluate 2*9*221/663.
6
What is -2*(6/(-4))/(15*12/(-660))?
-11
What is the value of 4/((34/306)/((-1)/(-3)))?
12
Calculate 36/2184*-20*7.
-30/13
490/343*(-42)/48
-5/4
What is (((-4)/7)/(-2))/(209/2926)?
4
What is (5/((-50)/(-24)))/(((-6426)/(-140))/(-51))?
-8/3
Evaluate (-1)/(6/81*(-39)/(-52)).
-18
What is the value of ((-2)/(-90))/(605/(-7260))?
-4/15
((-2730)/(-2002))/(18/(-33))
-5/2
Calculate -4*(-36)/(-56)*560/(-120).
12
What is (-4)/(-32)*(12/(-8))/(-3)?
1/16
3*-4*2004/5344
-9/2
Calculate (-4)/(-3)*-6*-14*48/256.
21
What is the value of 8/(-14)*(-168)/(-24)?
-4
What is the value of 11/((-165)/10)*1599/82?
-13
What is the value of 2/(-8)*(-6)/(-1)*(-2274)/(-379)?
-9
(-3)/(36/(-513)*(-108)/48)
-19
What is (14/6)/(1603/(-10992))?
-16
Evaluate (-1260)/(-40)*(-6)/7.
-27
(-3*(-1)/12)/(6/(-960)*-8)
5
Evaluate 8/(-38)*4085/2150.
-2/5
Evaluate (-1)/20*-25*(-36)/10.
-9/2
Calculate 5887/(-841)*(-5)/1.
35
What is ((-15)/1)/((4/(-12))/((-13)/(-117)))?
5
What is the value of ((-10)/(-3))/((-32)/(-48))?
5
What is ((-312)/65)/(-7*(-30)/525)?
-12
What is the value of (24/18)/((-300)/(-45))?
1/5
What is ((-732)/976)/((-11)/4)?
3/11
What is (7*53/1855)/(24/10)?
1/12
(75/2)/(-5)*14/(-3920)*-14
-3/8
What is 1290/(-86)*12/60?
-3
2*13*((-48)/32)/((-21)/(-7))
-13
What is -3*4/9*-12?
16
48/(-2)*428/(-856)
12
What is the value of (24/(-144))/((-1)/(-9))?
-3/2
2*(-2)/(16/28)*5/(-5)
7
What is (-42)/(-420)*(-3)/(-3)?
1/10
Evaluate (-24)/(-20)*8/(-48).
-1/5
Evaluate 12*(-1)/(9/(-12))*95/(-380).
-4
Evaluate (78/273)/((-12)/14)*9.
-3
What is the value of (2*(-2)/1)/(3584/256)?
-2/7
Calculate (4/(24/(-15)))/((-8)/(-32)).
-10
Calculate (6/(-12))/((-105)/(-90)).
-3/7
Evaluate (-340)/(-51)*((-12)/2)/(-90).
4/9
Calculate ((-1)/(-2))/((3654/1596)/87).
19
Calculate ((-990)/264)/(63/(-24)).
10/7
Calculate ((-76)/456)/((-15)/36).
2/5
Calculate (9/945*-6)/(4*(-18)/168).
2/15
What is 12/9*(-87)/(-30566)*-17?
-2/31
Evaluate 14/6*(-28)/7*(-4)/(-56).
-2/3
What is the value of -4*2*9/(-10)*35/21?
12
Calculate (-6)/(-4)*2*(-221)/(-408)*-8.
-13
Calculate ((-77)/11)/(-21)*0.
0
Calculate ((-7)/14)/(603/11658).
-29/3
Evaluate (143/462)/(-13)*21/14*-1.
1/28
((-1)/7)/(808/2828)
-1/2
Calculate -5*(-3542)/(-253)*2/(-4).
35
(-22)/4*(-6)/45*-3
-11/5
What is the value of (-672)/252*(-3)/(-4)?
-2
(-31)/((-1550)/120)*(-10)/(-78)
4/13
1*(2/(-5))/(33/(660/(-8)))
1
5/10*24/28*-7
-3
What is the value of (1/(-7))/(1692/(-470)*10/(-42))?
-1/6
Calculate ((-22)/198)/(2/((-24)/14)).
2/21
What is the value of 18*(-12)/(-42)*1*2/(-6)?
-12/7
Calculate ((-118)/236)/(2/(-68)).
17
Calculate ((2/40)/(10/60))/(89/6230).
21
What is the value of (-5224)/(-19590)*5/22?
2/33
Evaluate 1856/696*4/208*-6.
-4/13
What is the value of (3*8/60)/(400/(-3000))?
-3
Calculate (-12)/4*(1120/(-48))/(-14).
-5
Evaluate (431/(-1293))/((-2)/(-18)).
-3
Evaluate ((-51)/170)/((-180)/(-50)).
-1/12
1/4*10*72/(-720)
-1/4
Calculate 4/14*2*((-2716)/168)/(-97).
2/21
What is 45/90*((-27)/(-9))/(9/(-174))?
-29
(21/(-28))/((-5)/20)
3
What is the value of (273/63)/(15/45)?
13
9/(135/80)*(-420)/(-1792)*16
20
What is the value of ((-67)/67)/(1/(-19))?
19
What is (11*12/(-1144))/(6/8)?
-2/13
What is 6/(-21)*(-2604)/62?
12
What is the value of ((-7)/(1050/(-80)))/((-1)/(-5))?
8/3
Calculate 6/((48/(-64))/(-7*(-9)/(-36))).
14
Calculate (-4)/(((-1)/1)/((-16)/(160/35))).
-14
Evaluate 7/(1197/(-24))*13/(416/(-24)).
2/19
Calculate ((-4)/18*-4)/(108/54).
4/9
What is ((-25)/10)/(3/(-2))*1/5?
1/3
What is ((24/(-96))/(25/20))/11?
-1/55
Calculate 0/(-1)*((-12)/(-6))/((-144)/24).
0
What is 36*-9*(-1)/60*(-70)/(-21)?
18
What is (((-1288)/690)/(48/(-30)))/(1/1)?
7/6
What is ((-1)/4*(-12)/2)/((-138)/184)?
-2
((-33)/33*5)/(-2)
5/2
Calculate (88/364)/((-10)/(-130)).
22/7
0*18/(-378)*1/(-3)
0
What is (8874/(-85))/29*20/56?
-9/7
Evaluate (5/(5/6))/((21/(-28))/(-1)).
8
0/((-4)/((-64)/80))
0
(-3*5/(-45))/(((-42)/99)/(-14))
11
4*(5*11/(-484))/(1/(-1))
5/11
Calculate (-32*24/(-192))/(-1).
-4
What is 2*5*(-3)/(-225)*1?
2/15
What is -5*((-78)/(-260))/(30/(-20))?
1
What is the value of ((750/12)/(-25))/(2/4)?
-5
Evaluate ((-52)/(-390))/(24/36).
1/5
What is ((-2)/(-1))/(1170/((-1512)/(-84)))?
2/65
Calculate (-44)/(-6)*24/(-28)*224/128.
-11
What is ((-50)/12*1)/((-3100)/930)?
5/4
What is the value of ((-4)/(-5))/(8/160*12/6)?
8
((2/(-20))/(-1))/(100/250)
1/4
2/3*150/(-200)*14/21
-1/3
Evaluate 13*(-41)/((-69290)/39).
3/10
Evaluate (-57)/95*2565/57.
-27
Evaluate (-304)/456*30/(-4).
5
Calculate 8/9*7767/3452.
2
What is the value of (-18)/(-10)*(-290)/(-58)?
9
What is (((-5)/2)/(-5))/(((-1100)/(-792))/25)?
9
9/((-36)/5)*(-6)/9
5/6
Calculate ((-1116)/(-651))/(3/(-42)*2).
-12
(-3124)/284*2/2*(-4)/(-2)
-22
(2/14)/((-260)/(-260))
1/7
What is ((-2)/6)/((-51)/612)?
4
Evaluate ((-8)/6)/(18/162).
-12
-7*42/(-1029)*1
2/7
What is the value of (-42)/75*((-2480)/(-56))/31?
-4/5
Calculate 1/(-5)*925/740.
-1/4
Evaluate (20*20/(-50))/((-2)/(-20)*5).
-16
What is the value of -221*((-15)/255)/1?
13
What is 30/18*(-14)/140?
-1/6
Evaluate ((-396)/108)/((-1)/(-3)).
-11
What is 9*(-27)/54*(-26)/9?
13
4160/1664*(126/15)/1
21
920/7176*(-6)/5
-2/13
Evaluate ((-300)/(-120))/(2*2/8*-1).
-5
Calculate 8/16*-2*-1*-14.
-14
((65/(-5))/39)/(((-1)/(-1))/1)
-1/3
What is (4/10)/((-600)/(-36000))?
24
What is (23/(2645/69))/(18/(-20))?
-2/3
Evaluate ((-48)/224)/(1215/324).
-2/35
What is the value of (-248)/434*-21*(-6)/(-468)?
2/13
Evaluate (2/34)/(5640/(-9588)).
-1/10
Calculate ((-72)/81)/((-98)/(-63)).
-4/7
What is the value of (19*(-8)/(-1368))/((-10)/(-9))?
1/10
Evaluate (2/(-10))/(((-36)/(-24))/(78/(-52))).
1/5
Evaluate (-356)/1246*35/1*1.
-10
Evaluate (4/132)/((-1)/(-9)).
3/11
Evaluate (-28)/(-28)*7/(-35).
-1/5
Evaluate ((-312)/(-260))/(12/(-8)).
-4/5
1/(-14)*-63*(-220)/(-90)
11
Evaluate (106/265)/(-1*2/10).
-2
Calculate -11*((-1)/10)/(11/(660/24)).
11/4
(-5*(-45)/(-600))/(36/168)
-7/4
(-14)/(-210)*(-320)/48
-4/9
Calculate (0/(-1))/((-12)/12)*-1.
0
What is ((85/4)/(-17)*(-12)/30)/(-8)?
-1/16
(-8)/10*((-30)/27)/((-252)/(-567))
2
Calculate (40/15)/((-45)/(-54)*2/(-10)).
-16
Calculate ((-2130)/3905*(-1)/(-1))/(2*1).
-3/11
What is the value of (-5)/36*-9*8?
10
What is ((-45)/70)/(-9)*24/(-2)?
-6/7
((-1)/32)/(2360/(-5664))
3/40
What is the value of -9*(22/(-4))/(-11)*(-6)/(-36)?
-3/4
1/(-2)*(-20)/(-400)*2*-16
4/5
((-2)/8*2*1)/(9/54)
-3
What is (-9)/(((24/(-6))/4)/((-4)/(-3)))?
12
What is (135/(-75))/(99/(-330))?
6
What is (600/(-1125)*6/4)/((-6)/(-5))?
-2/3
What is -84*9/36*1?
-21
-1*(-1)/8*-2*1664/32
-13
What is ((-105)/30*(-5)/(-35))/(81/(-6))?
1/27
What is the value of (-3)/23*((-27)/(-18))/((-48)/32)?
3/23
(98/7)/2*4/16*-4
-7
What is the value of (19/57)/(4/(-248))*(-42)/(-28)?
-31
What is the value of 1*(-1)/42*(-32)/(-16)?
-1/21
((-11)/(-286)*-2*-13)/(-12)
-1/12
What is the value of (-3)/2*(-1914)/(-319)?
-9
Calculate 20/(1280/624)*4*(-2)/(-6).
13
-1*50/160*-1*-4*1
-5/4
Evaluate (-6*(-6)/(-72))/19*-2.
1/19
Evaluate (4/(-6)*2268/(-840))/(6/40).
12
Calculate (((-176)/8)/22)/((7/(-1))/(-273)).
-39
What is the value of (272/(-672)*7)/((-2)/12)?
17
Evaluate (192/(-360))/(-4)*(-18)/8.
-3/10
Evaluate 4*2/(-16)*3*(-416)/(-1040).
-3/5
Calculate (-3)/(-2)*(-64)/(-128).
3/4
What is (2/4)/(51/(-34))*5?
-5/3
What is ((-3)/(-1))/((-12)/(-1840)*23)?
20
(6/(-9))/(624/(-25272))
27
What is 14*((-6)/4)/(1/(-1))?
21
Evaluate 4/(-4)*(160/(-120))/(8/(-114)).
-19
(5*15/125)/((-2)/(-10))
3
Evaluate (2*(-12)/80)/(135/180).
-2/5
Calculate (400/5)/4*26/(-65).
-8
What is the value of ((-19)/(1805/(-266)))/(2/5)?
7
What is 9/(-6)*(-7)/(-42)*2?
-1/2
((-375)/(-900))/(15/18)
1/2
What is the value of (-515)/(-206)*(-1)/(10/(-92))?
23
Calculate (((-64)/40)/(-8))/((-1)/8*2).
-4/5
What is (-3306)/304*(-90)/435?
9/4
What is the value of ((-124)/(-465))/((-48)/(-54))?
3/10
(25/30)/((-10)/(-9))*10/(-6)
-5/4
Evaluate (14/(-21))/(6/(-792)*-8).
-11
((1/11)/1)/(858/(-858))
-1/11
What is the value of (-48)/9*150/360?
-20/9
Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
itres.
455.8313
What is 238495.8 millilitres in litres?
238.4958
Convert 66375.48 nanograms to milligrams.
0.06637548
How many nanograms are there in 5/4 of a microgram?
1250
What is 771.35ns in seconds?
0.00000077135
Convert 8.384264um to kilometers.
0.000000008384264
How many milligrams are there in 1833.276 nanograms?
0.001833276
How many micrograms are there in 3/25 of a milligram?
120
What is seventeen halves of a milligram in micrograms?
8500
How many nanometers are there in 9.730816km?
9730816000000
What is 27/4 of a millennium in decades?
675
How many micrometers are there in twenty-seven fifths of a centimeter?
54000
How many months are there in 1/30 of a decade?
4
How many minutes are there in one ninth of a day?
160
Convert 55.12564 litres to millilitres.
55125.64
What is one sixteenth of a second in microseconds?
62500
How many centuries are there in 0.8750012 years?
0.008750012
What is 5/8 of a milligram in micrograms?
625
How many years are there in 8983.653 centuries?
898365.3
How many hours are there in 2794.9572 nanoseconds?
0.000000000776377
How many tonnes are there in 0.1747651 milligrams?
0.0000000001747651
How many months are there in twenty-five halves of a decade?
1500
Convert 13.7925 nanograms to grams.
0.0000000137925
How many millilitres are there in 0.2313915l?
231.3915
How many millilitres are there in thirty-seven fifths of a litre?
7400
Convert 0.0796088t to nanograms.
79608800000000
How many minutes are there in 1/6 of a day?
240
What is 3/25 of a minute in milliseconds?
7200
How many meters are there in 7/8 of a kilometer?
875
What is 16.55151 months in decades?
0.13792925
Convert 315.5191g to kilograms.
0.3155191
What is 1/10 of a millimeter in micrometers?
100
What is 11/4 of a litre in millilitres?
2750
How many millilitres are there in 11.71805l?
11718.05
What is 9987.674ml in litres?
9.987674
How many millennia are there in 776.418 decades?
7.76418
What is 9.200471ns in microseconds?
0.009200471
How many litres are there in 0.2367889ml?
0.0002367889
How many kilograms are there in 57/2 of a tonne?
28500
How many kilograms are there in 8.098781g?
0.008098781
What is 3/50 of a century in years?
6
How many millilitres are there in 3/25 of a litre?
120
What is 41/2 of a milligram in micrograms?
20500
Convert 2692.445 milligrams to grams.
2.692445
How many centuries are there in 376.222 years?
3.76222
What is three tenths of a milligram in micrograms?
300
How many months are there in 7/3 of a century?
2800
How many centimeters are there in 891.6364m?
89163.64
What is seventeen halves of a microgram in nanograms?
8500
Convert 251056.4 millennia to decades.
25105640
What is 1/30 of a hour in minutes?
2
What is 18/5 of a litre in millilitres?
3600
What is one tenth of a milligram in micrograms?
100
How many kilograms are there in 27/5 of a tonne?
5400
What is 3/50 of a litre in millilitres?
60
How many litres are there in 657458.9ml?
657.4589
How many millilitres are there in 32/5 of a litre?
6400
How many minutes are there in twenty-one halves of a hour?
630
How many meters are there in five eighths of a kilometer?
625
Convert 3704.66ug to kilograms.
0.00000370466
What is three fifths of a century in years?
60
How many months are there in 15/4 of a year?
45
What is 56.88646 nanograms in milligrams?
0.00005688646
How many millilitres are there in fifty-three quarters of a litre?
13250
What is 0.0712188kg in grams?
71.2188
What is 109191.8kg in nanograms?
109191800000000000
Convert 58101.54 milligrams to tonnes.
0.00005810154
What is 31/5 of a milligram in micrograms?
6200
How many meters are there in fifty-three quarters of a kilometer?
13250
What is 55/4 of a kilogram in grams?
13750
Convert 63.59629 weeks to microseconds.
38463036192000
How many kilometers are there in 0.6099709m?
0.0006099709
How many micrograms are there in 7/2 of a milligram?
3500
What is 3/5 of a litre in millilitres?
600
How many micrometers are there in 5965.628m?
5965628000
How many micrometers are there in 21/5 of a millimeter?
4200
Convert 2.053773 millilitres to litres.
0.002053773
What is 733.9172 decades in months?
88070.064
What is 5/8 of a litre in millilitres?
625
How many months are there in 7/4 of a century?
2100
How many micrograms are there in 34/5 of a milligram?
6800
What is seventy-five halves of a centimeter in millimeters?
375
What is 9.587463 centuries in months?
11504.9556
What is 7.4819088us in hours?
0.000000002078308
How many micrograms are there in 64411.87 nanograms?
64.41187
How many kilograms are there in 364.2168 grams?
0.3642168
What is 8.98107m in millimeters?
8981.07
How many hours are there in 78962.64 minutes?
1316.044
How many months are there in 7/4 of a century?
2100
What is 7/8 of a litre in millilitres?
875
What is 0.451798 nanoseconds in milliseconds?
0.000000451798
How many milliseconds are there in thirteen eighths of a second?
1625
What is one twentieth of a micrometer in nanometers?
50
How many millilitres are there in 574311.9 litres?
574311900
How many micrograms are there in 4.0129ng?
0.0040129
How many months are there in 1/20 of a century?
60
Convert 8999.323l to millilitres.
8999323
What is 25/4 of a litre in millilitres?
6250
Convert 8.322539 years to centuries.
0.08322539
What is 266.6835 kilograms in nanograms?
266683500000000
How many litres are there in 5941.063 millilitres?
5.941063
How many hours are there in 6754.778 days?
162114.672
How many litres are there in 61.21307ml?
0.06121307
How many minutes are there in 8/7 of a week?
11520
What is 21/4 of a tonne in kilograms?
5250
What is seven quarters of a millennium in months?
21000
What is 86287.45mm in kilometers?
0.08628745
How many milliseconds are there in eleven tenths of a second?
1100
Convert 15816.3mg to nanograms.
15816300000
How many centimeters are there in 60.4647 meters?
6046.47
How many meters are there in 1/20 of a kilometer?
50
How many millennia are there in 0.3598708 decades?
0.003598708
How many centuries are there in 24.674769 months?
0.0205623075
How many centimeters are there in 5595.538um?
0.5595538
What is 49/4 of a kilometer in meters?
12250
How many seconds are there in 49.83269 days?
4305544.416
What is 1/10 of a micrometer in nanometers?
100
What is 0.0595325 micrometers in meters?
0.0000000595325
What is one quarter of a centimeter in micrometers?
2500
What is 41/2 of a centimeter in millimeters?
205
Convert 625044.5 millennia to months.
7500534000
Convert 8528.592ug to nanograms.
8528592
What is fourty-five quarters of a litre in millilitres?
11250
What is five eighths of a millennium in years?
625
What is 0.9028436 hours in microseconds?
3250236960
How many milligrams are there in 7/2 of a gram?
3500
What is fifteen quarters of a hour in seconds?
13500
What is 27/5 of a litre in millilitres?
5400
Convert 8856.255 kilometers to micrometers.
8856255000000
How many kilograms are there in 4614.325 nanograms?
0.000000004614325
Convert 814.7572ml to litres.
0.8147572
What is 0.1481914nm in millimeters?
0.0000001481914
How many nanograms are there in twenty-seven quarters of a microgram?
6750
What is 6/5 of a hour in minutes?
72
How many grams are there in 159.3093ug?
0.0001593093
What is 828.1308 millilitres in litres?
0.8281308
What is 9279.332 days in seconds?
801734284.8
What is 17/2 of a kilogram in grams?
8500
What is 83.90828ug in nanograms?
83908.28
How many grams are there in three fifths of a kilogram?
600
Convert 2555.707 years to months.
30668.484
How many milligrams are there in seven halves of a gram?
3500
How many grams are there in 3/8 of a kilogram?
375
How many millilitres are there in three fifths of a litre?
600
How many nanoseconds are there in 840.8607 milliseconds?
840860700
What is 31/5 of a kilogram in grams?
6200
How many kilograms are there in 11/8 of a tonne?
1375
What is twenty-six fifths of a millennium in centuries?
52
What is 6/25 of a litre in millilitres?
240
How many millilitres are there in 7/4 of a litre?
1750
What is 1/20 of a litre in millilitres?
50
How many millilitres are there in 53/5 of a litre?
10600
What is seven quarters of a year in months?
21
How many millilitres are there in 25/2 of a litre?
12500
Convert 300.6241 years to months.
3607.4892
How many litres
|
{
"pile_set_name": "DM Mathematics"
}
|
4/9*n**3 - 2/9 - 2/3*n**u + 8/9*n**2 = 0?
-1, -1/3, 1
Let j(w) be the third derivative of -w**11/166320 + w**9/30240 + w**5/60 + 2*w**2. Let p(r) be the third derivative of j(r). Determine t, given that p(t) = 0.
-1, 0, 1
Factor -1/8*a**2 + 1/8*a + 1/4.
-(a - 2)*(a + 1)/8
Let x(t) = -t**3 - t**2 + 2*t. Let d(l) = 60*l**3 - 56*l**2 - 32*l. Let o(j) = -d(j) - 24*x(j). Suppose o(w) = 0. What is w?
0, 2/9, 2
Let n(t) = t + 4. Let v be n(0). Let u(h) be the third derivative of -1/180*h**5 + 0*h**v - 2*h**2 + 0 + 0*h + 1/18*h**3. Determine s so that u(s) = 0.
-1, 1
Let v(f) be the first derivative of -f**6/60 + f**5/10 - f**4/4 + f**3/3 - f**2/4 - f + 2. Let z(o) be the first derivative of v(o). Let z(q) = 0. Calculate q.
1
Factor 0*a + 0 - 1/3*a**3 - 1/3*a**4 + 0*a**2.
-a**3*(a + 1)/3
Let v = 1318 - 1318. Determine s, given that -48/7*s**4 - 32/7*s**5 - 2/7*s**3 + v - 2/7*s + 12/7*s**2 = 0.
-1, 0, 1/4
Determine k so that -5*k**5 - 6*k**5 - k**4 + 10*k**5 = 0.
-1, 0
Suppose -25 = -2*u - 3. Let x = u - 6. Let d(j) = j**2 - 2*j - 3. Let s(w) = -2*w**2 + 5*w + 7. Let c(l) = x*d(l) + 2*s(l). Let c(o) = 0. What is o?
-1, 1
What is t in -14*t**2 - 20*t - 5*t**3 - 3*t**2 - 5*t**2 + 2*t**2 = 0?
-2, 0
Suppose 0 = r - 1 - 1. Find d such that -4*d + 3*d + 5*d**r - 2*d**2 = 0.
0, 1/3
Let r(p) be the second derivative of -p**6/210 + p**5/35 - p**4/14 + 2*p**3/21 - p**2/14 + 2*p. Determine z so that r(z) = 0.
1
Let z = 41 + -18. Suppose 4*m + 2*x = -3*x + z, 3*m - 2*x = 0. Suppose 8/9*j - 2/3*j**3 + 8/9*j**m + 0 = 0. What is j?
-2/3, 0, 2
Let m(f) = f + 2. Let l be m(2). Let q(x) = 3*x + 0*x + 3*x - l*x**2. Let a(y) = -1. Let g(s) = 4*a(s) - q(s). Factor g(p).
2*(p - 2)*(2*p + 1)
Let b(f) be the third derivative of -f**8/504 + 4*f**7/945 - f**6/540 - 6*f**2. Factor b(q).
-2*q**3*(q - 1)*(3*q - 1)/9
Let j = 11 - 8. Let y be (-25)/(-60) - j/12. What is w in 1/6 + 1/3*w + y*w**2 = 0?
-1
Let -76/3*n**2 - 52/9*n**3 - 200/9 - 4/9*n**4 - 380/9*n = 0. What is n?
-5, -2, -1
Let r(k) be the first derivative of 2/9*k**3 + 1 - 1/3*k + 1/6*k**2. Factor r(l).
(l + 1)*(2*l - 1)/3
Suppose 3*l + 2*r - 6 = 0, r + 2*r + 17 = 2*l. Let f(j) be the second derivative of 0*j**2 - 1/12*j**l + 0 + 1/6*j**3 + 3*j. Factor f(c).
-c*(c - 1)
Factor 4/3*g**4 - 8/3*g**3 + 8/3*g + 0 - 4/3*g**2.
4*g*(g - 2)*(g - 1)*(g + 1)/3
Let x(j) = 3*j**3 + 11*j**2 + 8*j + 2. Let q(k) = 3*k**3 + 12*k**2 + 9*k + 3. Suppose -f - 2 = -2*f. Let b(a) = f*q(a) - 3*x(a). Factor b(d).
-3*d*(d + 1)*(d + 2)
Let y = 23 + -17. Let f(n) be the third derivative of 2*n**2 + 2/75*n**5 + 0*n + 1/60*n**4 + 0 + 0*n**3 + 1/100*n**y. Factor f(p).
2*p*(p + 1)*(3*p + 1)/5
Let x(a) be the second derivative of a + 0*a**2 + 0*a**3 + 1/12*a**4 + 0. Find w such that x(w) = 0.
0
Let a be (2/(-6))/(1/(-9)). Let s(k) be the third derivative of a*k**2 - 1/24*k**6 - 1/30*k**5 + 5/24*k**4 + 0 + 1/3*k**3 + 0*k. Suppose s(j) = 0. Calculate j.
-1, -2/5, 1
Let c = 1/51 - -31/153. Solve -4/9*b**2 + c*b - 2/9*b**3 + 4/9 = 0.
-2, -1, 1
Let h(z) be the second derivative of -z**7/70 - 3*z**6/20 - 9*z**5/20 + z**2 - 10*z. Let v(n) be the first derivative of h(n). Factor v(u).
-3*u**2*(u + 3)**2
Let n(r) be the first derivative of -r**3/6 + 2*r + 8. Suppose n(b) = 0. What is b?
-2, 2
What is i in 2*i + 344*i**2 - 339*i**2 + 8*i = 0?
-2, 0
Let n be 2/9 + 68/18. Let 27 + n*k + 2*k**2 + 4*k**2 - 22*k - 3*k**2 = 0. Calculate k.
3
Let b be ((-10)/6)/((-1)/3). Suppose -4*s = -o - 7, -o = -b*o + 2*s. Factor -1 + o - h**2 - h**2 - 2*h.
-2*h*(h + 1)
Let p(i) be the second derivative of 4*i**6/5 + 7*i**5/5 + 2*i**4/3 - 10*i. Factor p(k).
4*k**2*(2*k + 1)*(3*k + 2)
Factor 657*o**3 + o**2 - 5*o**5 + 10 - 637*o**3 - 11*o**2 - 15*o.
-5*(o - 1)**3*(o + 1)*(o + 2)
Find x, given that 117/4*x**2 + 6591/4 - 3/4*x**3 - 1521/4*x = 0.
13
Factor 0 - 3/7*b**2 - 3/7*b.
-3*b*(b + 1)/7
Let f(q) be the first derivative of 9/10*q**2 + 3/5*q - 6 + 3/5*q**3 + 3/20*q**4. Suppose f(p) = 0. Calculate p.
-1
Let w(b) = b**3 + b**2 + 1. Let c(s) = -3*s**3 + 52*s**2 - 160*s + 162. Let z(j) = -c(j) + 2*w(j). Solve z(y) = 0 for y.
2, 4
Let k = -2/43 + 92/129. Find g, given that 2/3*g**2 + 2/3*g - k*g**3 - 2/3 = 0.
-1, 1
Suppose -4*z = -3 - 13. Suppose 1 = g + z*y - 15, 4*y - 16 = -3*g. Solve -r**3 + 3*r**3 + g*r - 2*r = 0 for r.
-1, 0, 1
Suppose 7*l - 6*l = 4. Let n(t) be the first derivative of 0*t**2 - 1/10*t**5 + 1 - 1/4*t**l - 1/6*t**3 + 0*t. Factor n(k).
-k**2*(k + 1)**2/2
Suppose 2*p + 4 = 20. Factor x**5 + 0*x**5 + 12*x**3 + 13*x**4 - 5*x**4 + 2*x + p*x**2 + x**5.
2*x*(x + 1)**4
Let i = 33 + -31. Factor 1/4*a**4 + 0*a - 1/4*a**3 + 0 + 1/4*a**5 - 1/4*a**i.
a**2*(a - 1)*(a + 1)**2/4
Factor -8*c**3 - 4*c**3 + 0*c**2 + 5*c**2 + 4*c**4 + 3*c**2.
4*c**2*(c - 2)*(c - 1)
Let d(i) be the second derivative of 0*i**2 + 0 - 1/84*i**4 + 2*i - 1/210*i**5 - 1/1260*i**6 - 1/6*i**3. Let j(x) be the second derivative of d(x). Factor j(h).
-2*(h + 1)**2/7
Let l(f) be the third derivative of -3/8*f**4 + 0*f - f**3 + 4*f**2 - 1/20*f**5 + 0. Factor l(d).
-3*(d + 1)*(d + 2)
Let k(n) = -5*n**2 + 2*n + 7*n**3 - n**2 - 9*n. Let j(l) = -6*l**3 + 5*l**2 + 6*l. Let x(z) = -6*j(z) - 5*k(z). What is a in x(a) = 0?
-1, 0, 1
Let l(s) be the third derivative of 0*s**5 - 1/42*s**4 + 0*s + 1/735*s**7 - 1/21*s**3 + 0 - 3*s**2 + 1/210*s**6. Find g such that l(g) = 0.
-1, 1
Factor 4/3*s + 1/6 - 1/6*s**2 - 4/3*s**3.
-(s - 1)*(s + 1)*(8*s + 1)/6
Let y(o) be the second derivative of 3*o + 21/10*o**5 + 2/3*o**3 + 5/21*o**7 + 0*o**2 + 17/15*o**6 + 11/6*o**4 + 0. Let y(x) = 0. What is x?
-1, -2/5, 0
Let t(y) be the first derivative of 1/9*y**3 + 1/9*y**4 + 0*y**2 + 1 + 1/30*y**5 - y. Let x(i) be the first derivative of t(i). Factor x(o).
2*o*(o + 1)**2/3
Factor 3*m**2 + 5*m**5 - 3*m**4 + 3*m**3 + 0*m**3 - 2*m**5 - 6*m**3.
3*m**2*(m - 1)**2*(m + 1)
Let u(t) = t**3 - 2*t**2 - 9*t - 1. Let o be u(4). Let d be (1/14)/(o/(-60)). Factor -d*c - 2/7*c**2 - 4/7.
-2*(c + 1)*(c + 2)/7
Suppose 0*k = -k. Let v = 3 - 0. Factor k*f - 2/5*f**2 + 0 + 0*f**v + 2/5*f**4.
2*f**2*(f - 1)*(f + 1)/5
Solve 3/2 - 1/2*y**2 + y = 0 for y.
-1, 3
Let v(b) be the second derivative of -5*b**5/4 - 65*b**4/12 - 10*b**3/3 + 10*b**2 + 3*b. Suppose v(o) = 0. Calculate o.
-2, -1, 2/5
Let u(z) be the first derivative of 1/4*z**3 + 0*z + 4 - 1/16*z**4 - 1/4*z**2. Determine i, given that u(i) = 0.
0, 1, 2
Factor 50*z**5 - 16*z**4 - 2 - 8*z**2 + 20*z**3 + 2 - 46*z**5.
4*z**2*(z - 2)*(z - 1)**2
Let i(d) be the first derivative of -d**8/6720 + d**6/1440 - d**3/3 + 4. Let j(p) be the third derivative of i(p). Factor j(b).
-b**2*(b - 1)*(b + 1)/4
Let z(x) be the first derivative of 2/5*x**5 - 1/6*x**6 + 1/2*x**4 - 2*x + 7/2*x**2 + 6 - 8/3*x**3. Factor z(p).
-(p - 1)**4*(p + 2)
Let h = 2 + -4. Let p(v) = -6*v. Let k(d) = 25*d + d**2 + 11 + 0*d**2 - 11. Let s(r) = h*k(r) - 9*p(r). Factor s(n).
-2*n*(n - 2)
Suppose -v + 8 = 6. Let r(z) be the third derivative of 0*z + 1/96*z**4 + 1/840*z**7 - 1/480*z**6 + 0 - 1/240*z**5 + v*z**2 + 0*z**3. Factor r(n).
n*(n - 1)**2*(n + 1)/4
Solve -4*v**3 - 14 + 7*v**3 + v**4 + 4*v + 6 - 8*v**3 + 6*v**2 = 0.
-1, 2
Let y(w) be the third derivative of -w**6/600 + w**4/120 - 2*w**2. Factor y(d).
-d*(d - 1)*(d + 1)/5
Let s(q) = 11*q**4 + 10*q**3 + 5*q**2 - 6*q + 6. Let y(c) = 12*c**4 + 10*c**3 + 5*c**2 - 7*c + 7. Let w(h) = -7*s(h) + 6*y(h). Suppose w(r) = 0. What is r?
-1, 0
Let f be (-4)/14 + 2216/(-84). Let u = f + 27. Factor 0 - 1/3*l - u*l**3 - 2/3*l**2.
-l*(l + 1)**2/3
Let z(n) = 9*n**4 - 6*n**3 + 3*n**2 + 3*n + 3. Let o(q) = q**5 + 18*q**4 - 11*q**3 + 6*q**2 + 7*q + 7. Let s(i) = 3*o(i) - 7*z(i). Solve s(r) = 0 for r.
0, 1
Suppose -25 = -5*s - 5. Let f(z) be the first derivative of 1/12*z**s + 0*z - 1/6*z**2 - 1/9*z**3 + 2 + 1/15*z**5. Factor f(c).
c*(c - 1)*(c + 1)**2/3
Let f be 30/45 + (-62)/3. Let g = 101/5 + f. Factor g*k + 0 - 1/5*k**2.
-k*(k - 1)/5
Solve 0*d**2 + 0*d**4 + 2/9*d**5 - 4/9*d**3 + 2/9*d + 0 = 0.
-1, 0, 1
Suppose 1531 = 7*q + 1517. Determine k, given that k**q + 1/2*k**3 + 1/2*k + 0 = 0.
-1, 0
Let b(h) be the third derivative of 0 + 0*h**5 - 1/6*h**3 + 1/60*h**6 + 0*h - 3*h**2 + 1/210*h**7 - 1/12*h**4. Factor b(a).
(a - 1)*(a + 1)**3
Let j(z) = z**3 - 10*z**2 + z - 5. Let p be j(10). Suppose 0 = p*l + 2 - 22. Factor -2/
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon multiple of 14 and 1202.
8414
What is the lowest common multiple of 12 and 15484?
46452
Calculate the common denominator of -55/26 and -55/36.
468
What is the common denominator of 41/45 and 71/27?
135
What is the common denominator of 21/688 and -19/16?
688
Calculate the common denominator of 11/135 and 163/90.
270
Find the common denominator of -95/122 and -79/4.
244
What is the common denominator of 109/2980 and -107/5662?
56620
Find the common denominator of 95/64 and -23/40.
320
Calculate the lowest common multiple of 2968 and 742.
2968
Find the common denominator of 131/24 and 27/176.
528
What is the least common multiple of 57 and 3?
57
What is the lowest common multiple of 20 and 9868?
49340
Find the common denominator of -139/108 and 5/948.
8532
What is the common denominator of 109/1338 and -89/12?
2676
Find the common denominator of -99/3892 and -13/112.
15568
What is the common denominator of -26/15 and -71/1803?
9015
What is the common denominator of -169/420 and -181/540?
3780
Find the common denominator of 55/26 and 89/272.
3536
What is the smallest common multiple of 870 and 4495?
26970
Calculate the common denominator of -17/3 and -139/276.
276
What is the common denominator of 42/545 and -39/218?
1090
Find the common denominator of -26/27 and -17/390.
3510
Find the common denominator of 75/68 and 77/16.
272
Calculate the least common multiple of 45 and 200.
1800
What is the smallest common multiple of 2828 and 35?
14140
What is the lowest common multiple of 4351 and 114?
26106
What is the least common multiple of 1169 and 70?
11690
What is the common denominator of 40/21 and -85/63?
63
Calculate the common denominator of 14/95 and -89/76.
380
Find the common denominator of -10/2277 and -131/12.
9108
Calculate the common denominator of 11/372 and 1/496.
1488
What is the lowest common multiple of 176 and 880?
880
Calculate the smallest common multiple of 21 and 77.
231
Calculate the smallest common multiple of 984 and 72.
2952
Calculate the least common multiple of 378 and 63.
378
What is the least common multiple of 16 and 12?
48
What is the lowest common multiple of 2055 and 50?
20550
Calculate the common denominator of -23/183 and -55/18.
1098
Find the common denominator of -79/270 and 131/30.
270
Calculate the common denominator of -149/48 and -61/14.
336
Find the common denominator of 13/4794 and 139/846.
14382
Calculate the lowest common multiple of 387 and 174.
22446
What is the common denominator of -31/137 and 64/3?
411
What is the lowest common multiple of 2552 and 522?
22968
Calculate the least common multiple of 198 and 66.
198
Calculate the smallest common multiple of 54 and 8.
216
Calculate the common denominator of -47/995 and 35.
995
What is the smallest common multiple of 15 and 72?
360
Calculate the least common multiple of 210 and 390.
2730
What is the lowest common multiple of 49 and 49?
49
Calculate the common denominator of -20/27 and -86/45.
135
Find the common denominator of -74/141 and -43/30.
1410
Find the common denominator of 137/2802 and -23/14.
19614
Calculate the lowest common multiple of 117 and 78.
234
What is the smallest common multiple of 9 and 2355?
7065
What is the smallest common multiple of 88 and 72?
792
Find the common denominator of -31/16 and 7/48.
48
What is the common denominator of 49/4 and -103/40?
40
Calculate the least common multiple of 3024 and 336.
3024
Find the common denominator of 145/6 and -58/31605.
63210
What is the least common multiple of 420 and 84?
420
What is the smallest common multiple of 84 and 280?
840
Calculate the smallest common multiple of 120 and 42.
840
What is the lowest common multiple of 33 and 6?
66
What is the smallest common multiple of 64 and 320?
320
Find the common denominator of 46/1275 and -111/50.
2550
What is the common denominator of 59/1120 and -61/52?
14560
Calculate the lowest common multiple of 8 and 226.
904
Find the common denominator of 169/210 and -39/10.
210
Calculate the common denominator of -161/480 and 7/96.
480
What is the least common multiple of 28 and 44?
308
What is the least common multiple of 1076 and 16?
4304
Calculate the lowest common multiple of 5 and 40445.
40445
Calculate the smallest common multiple of 237 and 395.
1185
What is the lowest common multiple of 20 and 8?
40
What is the common denominator of 83/63 and -31/3871?
34839
Calculate the smallest common multiple of 9 and 3108.
9324
What is the smallest common multiple of 88 and 132?
264
Find the common denominator of 55/7 and 83/1040.
7280
Calculate the common denominator of -61/12 and -131/162.
324
Calculate the lowest common multiple of 88 and 48.
528
What is the common denominator of 89/940 and 137/120?
5640
What is the lowest common multiple of 77 and 693?
693
What is the least common multiple of 20 and 220?
220
Calculate the least common multiple of 300 and 60.
300
Calculate the common denominator of 59/28 and 23/36.
252
What is the common denominator of -149/444 and -119/10?
2220
Calculate the least common multiple of 390 and 39.
390
Calculate the least common multiple of 4 and 132.
132
Find the common denominator of 23/148 and -143/36.
1332
What is the common denominator of 89/70 and 69/70?
70
Find the common denominator of -97/14 and -125/2094.
14658
What is the common denominator of 43/192 and -145/252?
4032
Calculate the least common multiple of 12 and 1156.
3468
Calculate the lowest common multiple of 672 and 20.
3360
What is the common denominator of 7/282 and -49/12?
564
Calculate the common denominator of 157/264 and -11/24.
264
What is the common denominator of -39/560 and 3/616?
6160
What is the common denominator of 2/1755 and -74/135?
1755
Find the common denominator of -27/52 and -25/39.
156
What is the lowest common multiple of 112 and 380?
10640
Calculate the common denominator of -40/33 and 127/114.
1254
What is the common denominator of -179/270 and -40/81?
810
Calculate the smallest common multiple of 428 and 2033.
8132
Calculate the lowest common multiple of 30 and 12.
60
Calculate the common denominator of -33/20 and 107/18.
180
What is the least common multiple of 71 and 923?
923
What is the smallest common multiple of 627 and 1?
627
Calculate the common denominator of -64/165 and 77/60.
660
Calculate the least common multiple of 6 and 6128.
18384
What is the common denominator of -149/42 and 44/3?
42
What is the smallest common multiple of 155 and 11?
1705
What is the common denominator of -59/55 and -41/10950?
120450
Calculate the smallest common multiple of 18 and 1.
18
Calculate the least common multiple of 3865 and 75.
57975
Calculate the smallest common multiple of 969 and 30.
9690
Calculate the smallest common multiple of 648 and 12.
648
What is the least common multiple of 11451 and 3817?
11451
Calculate the smallest common multiple of 406 and 98.
2842
What is the common denominator of -51/35 and -62/65?
455
Calculate the common denominator of -79/950 and 7/190.
950
Calculate the common denominator of -137/270 and 1/12090.
108810
What is the lowest common multiple of 6148 and 5?
30740
Calculate the common denominator of 89/32 and -149/648.
2592
Calculate the common denominator of -97/180 and 121/846.
8460
Calculate the common denominator of -5/44 and 20/33.
132
What is the common denominator of -67/3030 and 19/3030?
3030
Find the common denominator of 41/36 and 143/3258.
6516
What is the least common multiple of 30 and 4383?
43830
Calculate the least common multiple of 18 and 150.
450
What is the smallest common multiple of 354 and 8?
1416
Calculate the common denominator of -50/9 and -47/180.
180
Calculate the smallest common multiple of 281 and 4.
1124
Calculate the lowest common multiple of 22 and 19406.
213466
What is the smallest common multiple of 89 and 132?
11748
What is the common denominator of -157/78 and 91/18?
234
What is the least common multiple of 27 and 96?
864
What is the least common multiple of 50 and 100?
100
Calculate the common denominator of 1/38 and -51/22.
418
Calculate the common denominator of -39/40 and -63/2204.
22040
What is the common denominator of 37/98 and -87/14?
98
What is the lowest common multiple of 3834 and 1917?
3834
What is the common denominator of -19/55 and -94/1365?
150
|
{
"pile_set_name": "DM Mathematics"
}
|
many minutes are there between 8:37 PM and 7:29 AM?
652
What is 136 minutes after 8:58 AM?
11:14 AM
What is 662 minutes after 6:15 AM?
5:17 PM
What is 184 minutes after 10:08 AM?
1:12 PM
How many minutes are there between 9:30 PM and 5:38 AM?
488
What is 59 minutes before 1:42 PM?
12:43 PM
What is 121 minutes before 5:26 AM?
3:25 AM
What is 158 minutes before 3:39 PM?
1:01 PM
What is 51 minutes before 12:23 PM?
11:32 AM
What is 573 minutes before 2:42 AM?
5:09 PM
How many minutes are there between 6:43 AM and 8:50 AM?
127
How many minutes are there between 7:37 AM and 1:44 PM?
367
How many minutes are there between 12:44 AM and 6:07 AM?
323
What is 474 minutes after 4:19 AM?
12:13 PM
What is 688 minutes before 1:18 AM?
1:50 PM
What is 400 minutes after 2:48 PM?
9:28 PM
What is 689 minutes before 11:24 PM?
11:55 AM
What is 443 minutes before 10:02 PM?
2:39 PM
How many minutes are there between 2:00 AM and 10:13 AM?
493
What is 693 minutes after 3:41 AM?
3:14 PM
How many minutes are there between 8:53 PM and 12:15 AM?
202
How many minutes are there between 12:14 PM and 10:13 PM?
599
How many minutes are there between 11:28 PM and 4:56 AM?
328
How many minutes are there between 6:40 AM and 7:36 AM?
56
What is 194 minutes before 6:02 PM?
2:48 PM
How many minutes are there between 2:04 PM and 4:54 PM?
170
What is 710 minutes after 2:33 PM?
2:23 AM
How many minutes are there between 10:03 PM and 10:59 PM?
56
How many minutes are there between 9:06 AM and 3:37 PM?
391
How many minutes are there between 2:05 AM and 8:12 AM?
367
What is 318 minutes before 2:33 AM?
9:15 PM
How many minutes are there between 3:45 PM and 1:29 AM?
584
What is 367 minutes after 11:22 AM?
5:29 PM
How many minutes are there between 11:03 AM and 2:08 PM?
185
How many minutes are there between 2:59 AM and 10:00 AM?
421
What is 687 minutes after 3:15 AM?
2:42 PM
How many minutes are there between 2:13 AM and 12:00 PM?
587
How many minutes are there between 2:46 AM and 2:01 PM?
675
How many minutes are there between 7:50 AM and 7:45 PM?
715
How many minutes are there between 4:25 PM and 10:25 PM?
360
What is 344 minutes after 1:08 AM?
6:52 AM
How many minutes are there between 3:25 AM and 6:10 AM?
165
How many minutes are there between 11:12 PM and 12:11 AM?
59
What is 538 minutes before 11:26 AM?
2:28 AM
What is 691 minutes after 7:15 PM?
6:46 AM
What is 6 minutes before 1:49 PM?
1:43 PM
How many minutes are there between 11:22 PM and 4:08 AM?
286
How many minutes are there between 10:40 AM and 8:16 PM?
576
What is 59 minutes after 11:25 AM?
12:24 PM
How many minutes are there between 4:14 PM and 9:51 PM?
337
How many minutes are there between 5:43 AM and 2:08 PM?
505
How many minutes are there between 10:36 AM and 10:07 PM?
691
What is 170 minutes before 3:07 PM?
12:17 PM
How many minutes are there between 5:57 PM and 1:50 AM?
473
What is 591 minutes after 10:13 AM?
8:04 PM
What is 36 minutes after 11:29 AM?
12:05 PM
How many minutes are there between 7:38 AM and 4:28 PM?
530
What is 25 minutes after 7:22 AM?
7:47 AM
How many minutes are there between 1:34 AM and 12:02 PM?
628
What is 130 minutes before 8:21 PM?
6:11 PM
How many minutes are there between 10:51 AM and 2:46 PM?
235
How many minutes are there between 3:49 AM and 3:20 PM?
691
What is 402 minutes before 8:56 AM?
2:14 AM
What is 612 minutes after 6:29 PM?
4:41 AM
What is 496 minutes before 11:18 AM?
3:02 AM
What is 576 minutes after 8:13 AM?
5:49 PM
How many minutes are there between 9:56 PM and 1:56 AM?
240
What is 398 minutes after 12:07 PM?
6:45 PM
What is 474 minutes before 3:14 AM?
7:20 PM
How many minutes are there between 6:30 AM and 2:53 PM?
503
What is 39 minutes before 10:10 PM?
9:31 PM
What is 173 minutes after 4:08 AM?
7:01 AM
What is 302 minutes after 12:19 PM?
5:21 PM
How many minutes are there between 3:35 PM and 11:58 PM?
503
What is 14 minutes before 1:16 PM?
1:02 PM
How many minutes are there between 12:10 AM and 3:05 AM?
175
What is 663 minutes after 10:41 AM?
9:44 PM
How many minutes are there between 1:53 AM and 5:56 AM?
243
How many minutes are there between 1:29 PM and 8:54 PM?
445
What is 480 minutes after 10:51 PM?
6:51 AM
What is 454 minutes after 2:39 AM?
10:13 AM
What is 430 minutes after 11:40 AM?
6:50 PM
What is 207 minutes after 7:26 AM?
10:53 AM
How many minutes are there between 3:43 PM and 1:54 AM?
611
What is 253 minutes after 2:05 AM?
6:18 AM
How many minutes are there between 6:56 PM and 7:56 PM?
60
How many minutes are there between 3:57 AM and 10:37 AM?
400
How many minutes are there between 4:11 AM and 6:49 AM?
158
What is 165 minutes before 2:56 AM?
12:11 AM
What is 25 minutes after 7:17 AM?
7:42 AM
What is 508 minutes after 2:39 PM?
11:07 PM
What is 337 minutes after 6:07 AM?
11:44 AM
What is 155 minutes before 5:14 AM?
2:39 AM
How many minutes are there between 10:25 PM and 4:10 AM?
345
How many minutes are there between 2:22 AM and 5:12 AM?
170
What is 679 minutes before 11:14 AM?
11:55 PM
How many minutes are there between 3:09 PM and 11:49 PM?
520
What is 235 minutes after 8:10 AM?
12:05 PM
What is 502 minutes after 7:04 AM?
3:26 PM
What is 414 minutes before 6:59 PM?
12:05 PM
What is 530 minutes before 11:12 PM?
2:22 PM
What is 251 minutes after 5:18 AM?
9:29 AM
How many minutes are there between 3:12 AM and 7:23 AM?
251
How many minutes are there between 3:11 PM and 10:36 PM?
445
What is 123 minutes after 8:43 PM?
10:46 PM
How many minutes are there between 3:43 PM and 10:53 PM?
430
How many minutes are there between 8:32 AM and 8:59 AM?
27
What is 354 minutes after 6:33 PM?
12:27 AM
How many minutes are there between 11:23 AM and 6:03 PM?
400
How many minutes are there between 10:55 PM and 1:20 AM?
145
How many minutes are there between 6:06 PM and 10:04 PM?
238
What is 420 minutes after 9:28 AM?
4:28 PM
How many minutes are there between 5:56 PM and 7:38 PM?
102
What is 715 minutes after 3:22 PM?
3:17 AM
How many minutes are there between 7:49 AM and 10:53 AM?
184
What is 313 minutes before 7:52 PM?
2:39 PM
What is 508 minutes after 11:35 PM?
8:03 AM
What is 617 minutes before 9:31 AM?
11:14 PM
How many minutes are there between 6:44 PM and 5:27 AM?
643
What is 317 minutes after 2:16 PM?
7:33 PM
What is 253 minutes before 12:39 AM?
8:26 PM
What is 231 minutes after 12:29 PM?
4:20 PM
What is 607 minutes before 10:09 AM?
12:02 AM
What is 570 minutes before 10:13 PM?
12:43 PM
What is 543 minutes after 5:53 PM?
2:56 AM
How many minutes are there between 4:29 AM and 5:22 AM?
53
How many minutes are there between 5:23 AM and 2:47 PM?
564
What is 33 minutes before 11:05 AM?
10:32 AM
What is 243 minutes before 6:37 AM?
2:34 AM
How many minutes are there between 7:37 PM and 3:49 AM?
492
How many minutes are there between 10:28 PM and 6:38 AM?
490
How many minutes are there between 4:01 PM and 10:15 PM?
374
What is 115 minutes before 3:13 PM?
1:18 PM
How many minutes are there between 10:43 PM and 2:05 AM?
202
How many minutes are there between 2:32 AM and 2:19 PM?
707
How many minutes are there between 6:50 AM and 12:13 PM?
323
What is 535 minutes before 8:27 PM?
11:32 AM
How many minutes are there between 1:04 PM and 2:20 PM?
76
What is 430 minutes before 11:20 AM?
4:10 AM
How many minutes are there between 5:09 PM and 1:22 AM?
493
How many minutes are there between 6:53 PM and 12:03 AM?
310
What is 609 minutes before 3:14 PM?
5:05 AM
How many minutes are there between 9:44 PM and 6:11 AM?
507
How many minutes are there between 9:56 PM and 2:47 AM?
291
How many minutes are there between 3:59 AM and 2:27 PM?
628
How many minutes are there between 11:10 PM and 12:02 AM?
52
How many minutes are there between 10:26 AM and 8:10 PM?
584
What is 56 minutes before 10:37 AM?
9:41 AM
How many minutes are there between 3:33 AM and 3:37 AM?
4
What is 430 minutes after 10:12 AM?
5:22 PM
How many minutes are there between 3:05 PM and 1:23 AM?
618
What is 472 minutes before 6:58 PM?
11:06 AM
What is 194 minutes before 10:37 PM?
7:23 PM
What is 459 minutes after 2:42 AM?
10:21 AM
How many minutes are there between 12:33 AM and 5:56 AM?
323
How many minutes are there between 9:30 PM and 12:54 AM?
204
What is 322 minutes after 2:26 PM?
7:48 PM
How many minutes are there between 5:59 AM an
|
{
"pile_set_name": "DM Mathematics"
}
|
*j + 4. Let y be l(7). Suppose -43*i = -44*i + y. Let g(a) = -a - 4 + a**2 + 3*a + 7 - i*a. Calculate g(3).
6
Let o(m) = -3*m - 1. Let p be (-22)/(-8) + (-1)/16*-4. Let q be (-3 + 2)*(p + -2). Determine o(q).
2
Suppose -2*p - 4*k + 4 = 0, 3*k - 2*k = -p + 2. Suppose p*i - 56 = -i + 5*y, -i + 5*y = -32. Let q be ((-2)/4)/(1/i). Let l(f) = 2*f + 8. Determine l(q).
-4
Let z(a) = a**3 - 7*a**2 - a + 10. Let p = 696 - 689. Calculate z(p).
3
Suppose 4*n - 4*g - g = -3, -18 = -n - 5*g. Let q(a) be the third derivative of -a**4/6 + a**3/3 + 13*a**2 - 2. Calculate q(n).
-10
Suppose 4*h + 16 = -k, -h = -4*k - 0*h + 21. Let l(z) = 4 + 0 - k - 2 + z**2 + z**3. Suppose 2*s = -s - 6. Determine l(s).
-6
Let v(s) be the third derivative of s**8/6720 + s**7/504 + s**6/360 - s**4/4 + 23*s**2. Let m(z) be the second derivative of v(z). Give m(-3).
12
Suppose 0 = w - 0*w + 11. Let j(b) = -5*b**3 - 7*b**2 - 4. Let q(g) = 5 - 20*g**2 - g - 14 - 3 - 14*g**3. Let h(f) = w*j(f) + 4*q(f). Determine h(-3).
8
Let n(o) = o**2 - 16*o + 8 + 40*o - 14*o - 10*o - 13*o. Give n(13).
8
Let d(a) = -4*a**3 + 6*a**2 + 7*a. Let j(l) = 1 - 7*l + 3*l**3 - 2*l**2 - 2 - 5*l**2 + l**2. Let f(c) = 4*d(c) + 5*j(c). What is f(-5)?
5
Let f = 12 + -11. Let k(i) = -3*i**3 + 0 + 2*i**3 + i + f - i**3. Let c = 70 + -71. What is k(c)?
2
Let m(a) = 6*a**2 - 4*a - 8. Let v(k) = 5*k**2 - 3*k - 7. Let c(p) = 4*m(p) - 5*v(p). Let h = -13 + 9. Let i = 7 + h. What is c(i)?
-9
Let h(r) = -r**2 - 5*r - 5. Suppose 4*c = -4*k + 68, -7*c + 2*c + k = -97. Suppose -5*j + c = -6. Let f be (-24)/j - 3/15. Calculate h(f).
-5
Let h be 2/((-221)/(-78) + 10/(-12)). Let z(x) = -19*x + 1. What is z(h)?
-18
Let v be (-5)/((-5)/(-2)) - -3. Let m(c) = 8 + 6 - 12 - c - 1. Let f(q) = -q**2 + 12*q - 6. Let y(s) = v*f(s) + 3*m(s). Give y(6).
15
Let q(i) be the first derivative of i**6/360 + i**5/120 + i**4/24 + 10*i**3/3 - 7. Let a(o) be the third derivative of q(o). Let z = 0 + -2. What is a(z)?
3
Let g(x) = -2*x**2 + 3*x. Let j = 14 + -12. Suppose -5 = -j*z + 3. Suppose -z*n - 5 = -13. Determine g(n).
-2
Let d(m) = m**3 + 5*m**2 + 6*m + 2. Let x(f) = -f**2 + 5*f + 7. Let w be x(6). Suppose a = -2*a + 2*v + 22, 0 = v - w. Suppose 4*u = -a - 8. What is d(u)?
-6
Let n(z) = -18*z**3 - 2*z**2 + 2*z - 1. Suppose y - 5 + 33 = -x, -4*y = -3*x + 77. Let d = -22 - y. What is n(d)?
-19
Let m(w) be the third derivative of w**6/120 + w**5/15 - w**4/8 + w**3 - 29*w**2 + 3. Calculate m(-5).
-4
Suppose 2*h + 0*h - 4 = 0. Let w be -1 + 2 - 1*(-10 + 7). Let x(k) = 5 + 4*k**3 - 5*k**3 - k + h*k**3 + w*k + 6*k**2. Calculate x(-5).
15
Let h(x) = x**3 - 9*x**2 + 3*x - 6. Let p be (-16)/((132/(-6))/11). Give h(p).
-46
Let g(n) = 7*n. Suppose 16*z + 43 = 59*z. Give g(z).
7
Let k(o) = -o**2 - 14*o - 6. Suppose -3*p = i - 4*i - 57, i + 49 = 7*p. Determine k(i).
-6
Let c be (-6)/((-4)/(-8)*-4). Suppose c*f = -f - 2*k - 22, 0 = -2*k - 6. Let z(q) = -2*q**3 + q**3 - 1 - 33*q**2 + 30*q**2 + 2. Calculate z(f).
17
Let c = 0 - -2. Let f(p) = -p - 3*p - p**c + 1 - 6*p**3 + 4*p. Suppose -2*b = -2, 1 = z - 3*b + 3. Give f(z).
-6
Let a(x) = -3*x**2 + 18*x + 1. Let y be a(6). Let d = 0 + 5. Suppose y + d = -f. Let s(k) = -k**3 - 5*k**2 + 4*k - 3. Give s(f).
9
Let f(r) be the second derivative of -r**5/20 + 5*r**4/4 - 13*r**3/6 - 9*r**2/2 + 76*r. Determine f(14).
5
Let f(d) = 4*d - 88. Let a be f(24). Let c(r) be the first derivative of a - 3*r + 1/4*r**4 - 1/2*r**2 + 2*r**3. Determine c(-6).
3
Let y(b) be the third derivative of b**5/60 + 11*b**4/24 - b**3/2 - 58*b**2. What is y(-12)?
9
Suppose -o = -0*o - 1. Let a(f) = -104*f**2 + 311*f**2 - 102*f**2 - 1 + 2*f - 106*f**2. Give a(o).
0
Suppose 2*k + 133 = -4*p + 127, 0 = -5*k - 15. Let u(s) = -s - 70. Give u(p).
-70
Let q(b) = 2*b - 8. Let p be (-209)/6 - 17/102. Let s be 53/7 + 20/p. Calculate q(s).
6
Suppose 3*u - 12 = -f, -8*f + 21 = 5*u - 6*f. Let a(k) = k**3 - k**2 - 4. What is a(u)?
14
Suppose 5*c - 46 - 4 = 0. Suppose -2 = -4*j + c. Suppose 6*m - 11 = -n + m, -4*n + 21 = -j*m. Let p(f) = -f**2 + 6*f + 6. Determine p(n).
6
Let a(h) be the first derivative of -h**4/4 - 32*h**3/3 - h**2 - 60*h - 465. What is a(-32)?
4
Let m(g) = -g - 1. Let w be 4/6 + 4/3. Let d be (3/10 + (-18)/(-36))*5. Suppose -4*b - 28 = y, -w*b + b + d*y = -10. Determine m(b).
5
Let a(i) = -1. Let d(y) = y - 14. Let k(x) = a(x) - d(x). Let w = 13 - 3. Suppose 0 = 5*b + c - 32, 2*b - 2*c = 3*b - w. Calculate k(b).
7
Suppose -3*d + 2 = -4. Suppose d*p + 18 = -p. Let m(u) = -u**3 - 5*u**2 + 3*u - 5. What is m(p)?
13
Let c(q) = -q**2 + 17*q - 13. Let g be c(16). Let z(j) = j**3 - j**2 + 6*j - 3. Give z(g).
33
Let t(q) = q**3 - 4*q**2 - q - 4. Let w be (-54)/((-44)/(-12) - 3). Let i be (-6)/15 - w/15. Suppose i = -p + 9. Determine t(p).
-8
Let s(v) = 8*v**3 - v - 3. Let j(t) = 1 + 1 + 81*t - 9*t**3 - 43*t - 37*t. Let m(x) = -4*j(x) - 3*s(x). Calculate m(1).
12
Let t(a) be the third derivative of -a**5/60 + a**4/24 - a**3/6 + 5*a**2. Let j(i) = i**2 + 3*i + 3. Let x(n) = -j(n) - 2*t(n). Give x(4).
-5
Let o(a) be the first derivative of -a**4/4 + 5*a**3/3 + 2*a**2 + 7*a - 2. Let g = 25 + -19. What is o(g)?
-5
Let p be 1/1*(-1)/1. Let y(h) be the second derivative of -h**7/210 - 5*h**4/6 + 6*h. Let g(a) be the third derivative of y(a). Determine g(p).
-12
Let v(q) be the second derivative of q**4/12 + q**3 - q**2/2 + 369*q + 1. Give v(5).
54
Let r(l) = -3*l - 19. Let u = 943 - 951. Calculate r(u).
5
Let r(q) = 2*q + 5. Let k(c) = c + 5. Let g(l) = -3*k(l) + 2*r(l). What is g(-7)?
-12
Let n(z) = 2*z**2 + 14*z - 2. Let i = -279 - -272. Calculate n(i).
-2
Let l(t) = t**3 + 6*t**2 + 3*t - 5. Let d(h) = -h**2 - 2*h + 3. Suppose 2*j = -28 + 20. Let o be d(j). Give l(o).
5
Let p(q) = -2*q**2 + 3*q - 1. Suppose 5*b = 3*v + 2*v - 30, -2*v - 3*b = -7. Suppose v*o = 2*m - 39, 4*o + 30 = -m - 9. Let d be (-16)/o + 4/18. What is p(d)?
-3
Let a be 2/(-8) + 6/(-8). Let p(g) = 55*g**2 + 2*g + 18. Let r(u) = -29*u**2 - u - 10. Let o(m) = -5*p(m) - 9*r(m). Calculate o(a).
-13
Let a(b) = 2 - 3*b - 2 - 2 + 4 - b**2. Let r be a(-4). Let p(o) = -35*o**2 + 2*o - o**3 - 2 - 2*o**3 + 5*o**3 + 39*o**2. Give p(r).
-6
Let s(v) = -4 + 2 + 3. Let t(j) = 3*j. Suppose 0 = -5*o - 4*g - g - 20, -o - 14 = 3*g. Let d(m) = o*t(m) + 6*s(m). Determine d(-4).
-6
Let c(a) be the first derivative of -a**3/2 + 3*a**2 - 7*a + 6. Let f(v) be the first derivative of c(v). Calculate f(4).
-6
Let b(i) = 7*i - 44. Let m be b(7). Let z(h) be the third derivative of -h**3 + 0*h + 0 + 1/60*h**m - 3*h**2 + 5/24*h**4. Determine z(-5).
-6
Let k(j) be the second derivative of -j**4/12 + j**3/6 - 3*j**2 - 409*j. Suppose -2*v - 2*v = 0. What is k(v)?
-6
Let v be -19 - 6*(-10)/(-15). Let a = 49 - 25. Let q = a + v. Let p(t) = -8*t**2 + t. What is p(q)?
-7
Let g(n) = 6*n + 2*n + 43 + 38 - 78 + 0*n. Give g(-5).
-37
Let u(p) = -7*p + 3. Let w(k) = -3*k + 1. Let x be ((-21)/7)/((-2)/4 - -2). Let n(z) = x*u(z) + 5*w(z). Calculate n(-3).
2
Let b(r) = 0*r**2 + 0*r - 9 - 7*r - r**2. Suppose -23*z = -25*z + 48. Suppose -4*k - 4*u - 12 - z = 0, -5*u + 15 = -5*k. Calculate b(k).
-3
Let j(k) = -k**2 - 6*k + 1. Let c(b) = b**3 + 6*b**2 + 3*b + 4. Let x be c(-6). Let v = x + 23. Suppose v*h - 10 = 4*h, -2*m - 2*h - 6 = 0. What is j(m)?
6
Let w(q) = -q**2 - 7*q + 51. Let f be w(-11). Let k(u) be the second derivative of f*u - u**2 + 1/6*u**3 + 0. Give k(2).
0
Let k(f) = 19*f**2 - 18*f - 17. Let v(r) = 11*r**2 - 9*r - 9. Let y(l) = 4*k(l) - 7*v(l). Give y(-8).
3
Let s = -5 - -6. Let i = s + 6. Let n(u) = -1 - 1 + 3 - i*u. What is n(1)?
-6
Let a(o) = -13*o**2 - 6*o + 4. Let t(f) = 2*f**2 + f + 1. Let c(u) = a(u) + 6*t(u). Suppose 4*p = 5*p. What is c(p)?
10
Let l(y) be the first derivative of y**4/4 - y**3/3 + 2*y**2 + 3*y - 453. Determine l(-3).
-45
Let n(l) = -l**2 + 2. Suppose 2*r + 2*v - 40 = 0, 4*v = -0*v + 20. Let g = 19 - r. What is n(g)?
-14
Suppose 2 = -2*z - 2*f, 0*z = 3*z + f - 3. Let l(d) = -d**3 - 3*d**2 + d + 2. Determine l(z).
-16
Let s(n) = -10*n**2 - 4*n**3 + 4*n**2 - 3*n - 3 - 7*n**3 + 10*n**3. Suppose 0 = -6*d - 5*d - 66. Calculate s(d).
15
Let n(g) be the second derivative of g**5/20 + 13*g**4/12 + 2*g**3 + g**2 + 193*g. Determine n(-12).
2
Let q = 6 - 6. Let x(s) = -4*s**3 + 5*s**3 - s - 1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
).
11*sqrt(17)/12 + 2452
Simplify 3*3*4*((sqrt(612) + 1)*-3 + -5 + -2 + sqrt(612)).
-432*sqrt(17) - 360
Simplify 3 + ((sqrt(675)*-2)/sqrt(9))**2 - (-1*sqrt(675))**2*5.
-3072
Simplify ((sqrt(171) + sqrt(171)*2 + -1)**2 - sqrt(171) - (sqrt(171) - sqrt(171)*1)**2*3) + 0 - (sqrt(38)*-2*3 - sqrt(38))/(sqrt(2)*3*-6).
-385*sqrt(19)/18 + 1540
Simplify 2 + sqrt(27) - (sqrt(3) + 3 + 5 + sqrt(3))**2 - -4*-5*(0 + sqrt(75)).
-129*sqrt(3) - 74
Simplify ((sqrt(648) + 2*sqrt(648)*6 + sqrt(648))*4)/((sqrt(225) + (sqrt(225) + (sqrt(225) - (sqrt(225) - (sqrt(225) - sqrt(225)*2)))*-6 - sqrt(225)))*2).
24*sqrt(2)/5
Simplify (sqrt(77)*-5*-1 - 2*sqrt(77)*5)/(-5*sqrt(567)*-1*2).
-sqrt(11)/18
Simplify 4 + ((sqrt(171) - 1*(sqrt(171) + 1*sqrt(171)))/sqrt(9) - (-3 + -4*sqrt(171)))**2.
66*sqrt(19) + 2312
Simplify 0 + sqrt(75) + 1 + 3 + (5 + 2*sqrt(243) + 1)**2.
221*sqrt(3) + 1012
Simplify -1*(-4*5*sqrt(112)*2 + (6*sqrt(112)*2 - 1*(1*sqrt(112) + sqrt(112))))**2.
-100800
Simplify ((sqrt(6776) - (sqrt(6776) + sqrt(6776)*1*6 + sqrt(6776) - sqrt(6776)))*-3)/((sqrt(96) - (1*sqrt(96)*1 + sqrt(96)))/((sqrt(96)/sqrt(2))/sqrt(4))).
-198*sqrt(7)
Simplify 4 + (sqrt(190)*3*-2*5)/(6*(sqrt(10) - (sqrt(110) - sqrt(110)*3)/sqrt(11))).
-5*sqrt(19)/3 + 4
Simplify (sqrt(20)/(-3*sqrt(2)) - sqrt(120)/sqrt(108))/(-6*(sqrt(2) + -1*sqrt(288))*6).
-sqrt(5)/594
Simplify (-1*(sqrt(170)*1 + sqrt(170)) - sqrt(170) - ((sqrt(170) - 2*sqrt(170)) + sqrt(170))*-1)/(-4*1*sqrt(160)*6).
sqrt(17)/32
Simplify ((sqrt(28)/sqrt(2) + sqrt(14))*4 + sqrt(1400))/(5*sqrt(7)*2*1) + 3.
9*sqrt(2)/5 + 3
Simplify 0 + (1 + (sqrt(272) + sqrt(272) + (0 + sqrt(272) - sqrt(272)) + sqrt(272) - (-4*(-2 + sqrt(17)) - sqrt(17)) - (-4 + -2*sqrt(425))))**2.
-162*sqrt(17) + 12402
Simplify ((sqrt(75) - (0 + sqrt(75) + 3)) + 5 + -2 - ((sqrt(3) + sqrt(3) + 0)*5*1 + (sqrt(33)*1)/sqrt(11) + 5))**2.
110*sqrt(3) + 388
Simplify (sqrt(176)/(-1*sqrt(4)) - (-1*sqrt(88))/sqrt(2))/(4*sqrt(12)/sqrt(3)*-6) + 5.
5
Simplify 2 + ((-4*(sqrt(272) + 1 - sqrt(272)) + -2 - -1*(sqrt(272) + sqrt(272)*1*6 + sqrt(272) - sqrt(272))) + 5)**2.
-56*sqrt(17) + 13331
Simplify (5*(((sqrt(77)*2 - sqrt(77) - sqrt(77)) + sqrt(77))*5 + sqrt(77) - 4*sqrt(77)*2))/(sqrt(1331)*3*-6*-5).
-sqrt(7)/99
Simplify (2*1*(sqrt(104) - (sqrt(104) + (sqrt(104) - (sqrt(104) + sqrt(104)*3)*3 - sqrt(104)))))/(((sqrt(400) - -2*sqrt(400))/sqrt(10))/(sqrt(20)*-5)).
-80*sqrt(13)
Simplify ((sqrt(468) - -5*(0 + sqrt(468)) - sqrt(468)*-1*-3 - 5*(sqrt(468)*4 + sqrt(468))*1) + 4 + 2)**2.
-1584*sqrt(13) + 226548
Simplify ((sqrt(640)*-2 + sqrt(120)/(sqrt(12)*3))/(-3*sqrt(80)*2 + sqrt(80) + -3*2*sqrt(80)))**2.
2209/8712
Simplify ((sqrt(25) - sqrt(625))*-6 - -4*sqrt(25)*-3)/(4*(sqrt(180)/sqrt(6))/sqrt(6)*-1).
-3*sqrt(5)
Simplify ((6*(sqrt(114) - 2*(sqrt(114) + (sqrt(114)*2 - sqrt(114))) - 5*1*sqrt(114)))/(sqrt(216)*2 + (1*sqrt(12))/sqrt(2)))**2.
43776/169
Simplify 2 + (-2 + 5*((sqrt(75) + -1)*4 - (sqrt(75) + sqrt(75)*2*-6))**2)*4.
-12000*sqrt(3) + 337814
Simplify -5 + -3*((3*sqrt(1700)*2)**2 - sqrt(1700)) + (-3*(sqrt(1700) + 1)*5)**2.
4530*sqrt(17) + 199120
Simplify (3*sqrt(84)*6 + (-2*(sqrt(84) - (1*sqrt(84) + sqrt(84))) - sqrt(84)))/((sqrt(96) + sqrt(96)*-1*-5)/(sqrt(72)*1 + sqrt(8))).
38*sqrt(7)/3
Simplify ((sqrt(13) - (sqrt(13) + sqrt(13) + 1 + 5 - sqrt(13)) - sqrt(13)) + -2 + sqrt(52) - ((sqrt(52)*1 + sqrt(52))/sqrt(4)*3 + -5))**2*4.
120*sqrt(13) + 1336
Simplify (sqrt(36)/(3*sqrt(768)) - (sqrt(9)/sqrt(3) + 5 + -2*(sqrt(3) + 0))) + -5.
-10 + 25*sqrt(3)/24
Simplify (-6*2*(3*sqrt(18) - sqrt(18)))/((sqrt(864) - 4*sqrt(864))*-1) + -2.
-2 - 2*sqrt(3)/3
Simplify (-6*(sqrt(21) + sqrt(525) + sqrt(525)*1 + sqrt(525)))/((sqrt(112)*1 - sqrt(112)) + sqrt(7) - 1*-3*sqrt(7)).
-24*sqrt(3)
Simplify (sqrt(11) + 5 + 3 - 6*sqrt(704) - 3*(sqrt(33) + 3*sqrt(2673))/sqrt(3))**2.
-2096*sqrt(11) + 188835
Simplify (((sqrt(76) - (sqrt(76) + 1*sqrt(76))*5 - sqrt(76))/sqrt(4) - (2*sqrt(19) + sqrt(19) + -1)*3) + -1*(-5 + -2*sqrt(76) + -1))**2.
-270*sqrt(19) + 4356
Simplify (3 + (sqrt(21)*-4)/sqrt(3))*-4*-2*-4*5.
-480 + 640*sqrt(7)
Simplify (3*(4 + sqrt(1300)) - (3*-2*sqrt(1300) + sqrt(1300)))**2 - ((sqrt(1300)*3 + -4)**2 + sqrt(1300)*4*2).
2080*sqrt(13) + 71628
Simplify (-1 + (((-2*sqrt(1088) - sqrt(1088)) + 2 + (sqrt(1088) - (sqrt(1088) + 1 + sqrt(1088)) - sqrt(1088))*-4)**2 - 5*(sqrt(1088) + -1)*-3))*1.
600*sqrt(17) + 27220
Simplify (-4*(-2 + sqrt(891) + 2 + sqrt(891) + sqrt(891))*-3 - (-4*(sqrt(891) - (sqrt(891) + 2*sqrt(891))) - (sqrt(891) - sqrt(891)*3*-6)))**2 + -2.
1968217
Simplify ((sqrt(156) - -6*4*sqrt(156))/(6*sqrt(144)/sqrt(12))*-6*-1)**2.
8125
Simplify (((sqrt(1296)*-1 - sqrt(1296)) + sqrt(36) + sqrt(36))/((sqrt(44)/sqrt(44) - sqrt(4) - sqrt(4)) + sqrt(4)))/(sqrt(270)/((sqrt(120)*2)/sqrt(12))).
40*sqrt(3)/3
Simplify -5*(sqrt(30) + (-2*sqrt(120))/sqrt(4) + sqrt(30))/((sqrt(36)/sqrt(3))/sqrt(2)) + ((sqrt(500)*1 + sqrt(500))/sqrt(10))/(sqrt(10)*-2*5).
-sqrt(5)/5
Simplify -4 + 4 + (-3 + -5 + sqrt(272)*5)**2 + -5 + -4.
-320*sqrt(17) + 6855
Simplify 3 + (-2 + sqrt(252)*-4)**2 + -1 + (-3*2*sqrt(77))/(2*sqrt(396)).
191*sqrt(7)/2 + 4038
Simplify ((sqrt(72) - (sqrt(72) - sqrt(72)*-2)*-4) + sqrt(72))/(sqrt(4) - (sqrt(256)*-1 + sqrt(256)) - sqrt(144)*1).
-42*sqrt(2)/5
Simplify (6*(sqrt(28) - (-5*sqrt(1372) + sqrt(28))))/((sqrt(324) + (sqrt(324) - (sqrt(324) + sqrt(324)*6)))*-6 + sqrt(324)) + 2.
70*sqrt(7)/93 + 2
Simplify ((-5*sqrt(20)*-1)**2 - (-2 + sqrt(60)/sqrt(3))) + (2 + sqrt(125) + -1*sqrt(125))**2*1.
-2*sqrt(5) + 506
Simplify -5 + 2*(sqrt(102)/(-2*sqrt(6)) - (-5 + -1 + sqrt(17))) + ((4*-1*sqrt(1088))**2 - (sqrt(272) - (-5 + 0 + sqrt(272) + sqrt(272)))**2).
37*sqrt(17) + 17118
Simplify (5 + (-4 + (sqrt(2) - (1 + sqrt(2))))*-5 + -1 + (-3 + (sqrt(2) - sqrt(6)/sqrt(3))*6 - sqrt(22)/(sqrt(66)/(sqrt(24)/sqrt(4)))))**2.
-52*sqrt(2) + 678
Simplify ((6*2*sqrt(112))/(sqrt(968)*1))/(4*sqrt(21)/(sqrt(240)/sqrt(5) + sqrt(3) + sqrt(3))) + -3.
-3 + 18*sqrt(2)/11
Simplify (-4*(1 + sqrt(180))*5 - (sqrt(500) + sqrt(500)*-1 - 2*(sqrt(45)/sqrt(9) + sqrt(5))))**2.
4640*sqrt(5) + 67680
Simplify -5 + (-3 + (sqrt(245) - (sqrt(245) - (sqrt(245) + 0 + 2)) - (-5 + sqrt(245)*1)))*5.
15
Simplify ((sqrt(567) - (sqrt(567) - (2*sqrt(567) - sqrt(567)))) + sqrt(252)/sqrt(4)*5)/(sqrt(18)/(sqrt(200)*4 - sqrt(200) - sqrt(200) - sqrt(2))).
152*sqrt(7)
Simplify sqrt(108)*-3*-4*4 + 5 + ((5 + 2 + sqrt(108)*3)*-3)**2.
2556*sqrt(3) + 9194
Simplify (0 + (-5 + ((sqrt(176) - (sqrt(176) + 3)) + 2 - sqrt(176)) + -4 + 2)**2)*3*2.
384*sqrt(11) + 1440
Simplify (-5*(sqrt(468) + -1 + sqrt(468) - sqrt(468)))**2 + -6*5*sqrt(13)*-2 - (sqrt(143) + sqrt(143) + sqrt(143)*-3*-5)/(6*sqrt(22)/sqrt(2)).
-1457*sqrt(13)/6 + 11725
Simplify (-4 + 1 + (sqrt(7) - sqrt(28))*1 + -1 + sqrt(77)/(sqrt(11) + (sqrt(11) - 1*sqrt(77)/sqrt(7)))*-5)**2.
48*sqrt(7) + 268
Simplify (6*(-1 + sqrt(2))**2 - sqrt(2) - sqrt(128)) + (sqrt(2) + sqrt(8) + -3 + sqrt(2) + 0 + -1)**2 + 2 + sqrt(7200)*1 + -1*sqrt(50)*-1.
12*sqrt(2) + 68
Simplify ((sqrt(143) - -1*sqrt(143))*-4)/(sqrt(11)*-2*-1) - (((sqrt(91) - (sqrt(91) + sqrt(91)*3*1)) + sqrt(91))/(sqrt(35)/(sqrt(35)/sqrt(7))))**2.
-52 - 4*sqrt(13)
Simplify (sqrt(2448) - sqrt(2448)*-2*4)*-3 - (-1*sqrt(272) + -3 - ((sqrt(272) + ((2*sqrt(272) - sqrt(272)) + -3 - sqrt(272)))**2 - sqrt(272))).
-348*sqrt(17) + 284
Simplify (4 + ((sqrt(19) - (1 + sqrt(2299))) + sqrt(475)*-2 + sqrt(19) - (sqrt(931) - (5 + sqrt(931) + (-1 + sqrt(931) + sqrt(931) - sqrt(931))))*4)**2)*-1.
-1768 - 270*sqrt(19)
Simplify -3 + (-5*-4*sqrt(26)/sqrt(2))**2 + (-5 + sqrt(13) + sqrt(52)/sqrt(4) + sqrt(13) - (sqrt(637) + -1)).
-4*sqrt(13) + 5193
Simplify -1 + ((2 + sqrt(396))*-3 - sqrt(396)) - (((sqrt(88) - 1*sqrt(88))*2)/(sqrt(200)*1))**2.
-24*sqrt(11) - 7
Simplify (1 + (-2*sqrt(1300)*-2 + 4 - 5*-4*(-1*sqrt(1300) + sqrt(1300))))**2.
400*sqrt(13) + 20825
Simplify 5 + sqrt(24)/sqrt(648) + -4 + ((sqrt(12)/sqrt(4) + 3)**2 + sqrt(3) - sqrt(21)/sqrt(63)) + -1.
61*sqrt(3)/9 + 12
Simplify -4*((((2*sqrt(80))/sqrt(2))/((sqrt(64)*1)/sqrt(8)))**2 - (-2*sqrt(1815) + sqrt(1815) - sqrt(1815))/(1*sqrt(243))).
-80 - 88*sqrt(5)/9
Simplify ((sqrt(567) + sqrt(567) + sqrt(567) + 4)*-4 - -2*(-3 + sqrt(567)) - (4*(sqrt(567) + 3 + sqrt(567) + sqrt(567)) - (sqrt(567) + 6*sqrt(567) + -5)))**2.
10530*sqrt(7) + 129096
Simp
|
{
"pile_set_name": "DM Mathematics"
}
|
230000
What is -2404241111 (base 5) in base 6?
-314424512
What is 24375845 (base 9) in base 14?
18239b0
15341440 (base 7) to base 11
916248
267c7a2 (base 13) to base 8
56142266
Convert 1262267 (base 9) to base 11.
431936
Convert 101001100100001000 (base 2) to base 12.
82634
-32051030 (base 7) to base 4
-22113221120
What is 10323204 (base 5) in base 2?
10101110001011011
What is 10243240300 (base 5) in base 9?
22475601
What is -1100010100111011011010 (base 2) in base 14?
-6018dc
Convert -4234132343 (base 5) to base 13.
-1ac61b8
Convert 4e32c1 (base 15) to base 4.
32111033032
What is 26851 (base 13) in base 4?
101200222
-11010111000111101110 (base 2) to base 3
-1122202200121
What is bb739 (base 15) in base 14?
1170cd
What is -16b3738 (base 12) in base 2?
-10001111110101101011100
Convert 8a588 (base 15) to base 5.
103040003
162c90 (base 14) to base 16
bd85e
109660b (base 12) to base 4
30021103223
What is -32662031 (base 7) in base 2?
-1010110000111011111011
What is -3d1ae (base 15) in base 16?
-2fe2b
Convert -303250 (base 9) to base 11.
-11298a
ac53b (base 13) to base 3
120220011202
-30001131332 (base 4) to base 15
-423cb2
Convert -3053708 (base 9) to base 7.
-16565603
Convert 552715 (base 9) to base 14.
8841b
Convert 67842 (base 10) to base 13.
24b58
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-123400301
Convert -2005744 (base 9) to base 11.
-669832
Convert -7c1154 (base 14) to base 12.
-14bb25a
-48d8b (base 16) to base 15
-5d61e
What is 32666060 (base 7) in base 8?
12612153
-3353a (base 13) to base 2
-10110101111110000
14759 (base 11) to base 9
31565
What is -8531a (base 14) in base 5?
-40243120
-239041 (base 13) to base 6
-30102211
What is -211000112 (base 4) in base 11?
-a3975
100022022200212 (base 3) to base 5
2231244044
-410321102 (base 5) to base 11
-a287a5
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332132133
What is 524646 (base 13) in base 6?
105120503
Convert -1105421 (base 6) to base 15.
-11764
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449195
Convert -200041331 (base 6) to base 5.
-1330133014
Convert -2ecc4 (base 15) to base 16.
-24f58
What is 201201011221 (base 3) in base 10?
387961
What is 41542016 (base 8) in base 5?
4230111024
-164ca (base 13) to base 14
-1173b
What is -f4c05 (base 16) in base 5?
-224040001
Convert 1001011010101000000 (base 2) to base 13.
aa592
Convert 5a8701 (base 12) to base 14.
2a2557
-11100100100011100011111 (base 2) to base 8
-34443437
Convert -2875510 (base 9) to base 14.
-2d3a0c
Convert 1ae38 (base 15) to base 4.
111120122
What is 306f0a (base 16) in base 15?
42a754
Convert -fc521 (base 16) to base 3.
-1221111200222
What is -48d1b3 (base 15) in base 2?
-1101010011010000110000
101977 (base 10) to base 11
6a687
Convert -2525234 (base 6) to base 13.
-49b64
135cdba (base 14) to base 3
122122002020000
-10010110000001000110101 (base 2) to base 13
-103164a
3333241 (base 7) to base 14
aa091
-111011001011000111101 (base 2) to base 6
-105320513
1025202 (base 7) to base 3
20022110110
-301260 (base 14) to base 3
-10001010200111
-130044403 (base 5) to base 13
-18cb78
-b31f (base 16) to base 3
-2022220100
What is -6322083 (base 11) in base 5?
-10323111204
Convert -51525 (base 12) to base 5.
-11344112
Convert -22220112 (base 7) to base 6.
-105100510
What is -176604 (base 9) in base 8?
-326420
What is -3010443 (base 6) in base 8?
-424173
What is -41132401 (base 5) in base 7?
-2556143
Convert -b9b5a (base 14) to base 4.
-1231233210
-1210101134 (base 5) to base 11
-1653603
-162594 (base 10) to base 14
-4337c
What is -15312510 (base 6) in base 11?
-338608
134153403 (base 6) to base 14
50b923
12606333 (base 7) to base 16
11bab8
Convert 11122121212222 (base 3) to base 12.
9b2b52
What is d18d7 (base 14) in base 2?
1111011000001100101
-233884 (base 10) to base 4
-321012130
What is 1342032 (base 8) in base 7?
3132461
Convert 111550103 (base 6) to base 9.
3766243
What is -333663 (base 8) in base 2?
-11011011110110011
15571b (base 12) to base 2
1011000011011000111
What is 2aa583 (base 16) in base 9?
5228765
-2125345 (base 6) to base 2
-11001100111000001
Convert 425360 (base 7) to base 4.
102003032
Convert -11104500 (base 8) to base 11.
-1395a77
Convert 212021100 (base 3) to base 9.
25240
Convert 1709b1 (base 16) to base 15.
1ec53e
Convert 104014432 (base 5) to base 9.
762242
Convert -1834059 (base 10) to base 16.
-1bfc4b
563b (base 15) to base 3
221002002
What is -3241100404 (base 5) in base 8?
-32461113
What is 523215 (base 7) in base 10?
89976
Convert 3a780 (base 15) to base 5.
21443240
What is 138288 (base 14) in base 4?
2210323100
What is 179204 (base 10) in base 5?
21213304
What is -a74e (base 15) in base 9?
-53502
Convert 13a378 (base 12) to base 9.
551072
-213121331 (base 4) to base 13
-5860a
27dc8 (base 14) to base 12
491a4
-747d9 (base 14) to base 10
-281451
831647 (base 9) to base 2
1111000011100010101
99d581 (base 16) to base 6
1000030213
-1101443 (base 6) to base 16
-d623
433310442 (base 5) to base 8
7044660
Convert -320242422 (base 5) to base 4.
-11012132111
What is 30514 (base 11) in base 2?
1010110111111111
What is 94dd (base 15) in base 12?
16277
What is -450760 (base 10) in base 7?
-3555112
-100010110011100001001 (base 2) to base 4
-10112130021
Convert -10ca961 (base 15) to base 3.
-211122101112101
Convert 35043515 (base 7) to base 4.
23231131010
What is 997a3 (base 11) in base 6?
3033540
Convert -da3567 (base 14) to base 6.
-422142343
-10120020011222 (base 3) to base 6
-104332512
-1320220 (base 6) to base 12
-36070
What is 1203013132 (base 4) in base 13?
112a35
-12103b8 (base 12) to base 13
-959450
728542 (base 10) to base 12
2b173a
Convert -11738 (base 10) to base 9.
-17082
Convert c7aa83 (base 14) to base 11.
38a2129
2170764 (base 10) to base 12
888290
Convert 548872 (base 9) to base 12.
139a02
What is -914773 (base 11) in base 13?
-3c633c
What is -11001010011011110 (base 2) in base 6?
-2115502
Convert -100110010001001010111101 (base 2) to base 4.
-212101022331
-4323203 (base 5) to base 13
-2762c
-42652410 (base 7) to base 15
-4be706
What is 1000211022011 (base 3) in base 7?
4440535
What is 304645 (base 8) in base 6?
2054313
Convert 111101011001111000011 (base 2) to base 6.
111043135
What is -1000000000100111 (base 2) in base 4?
-20000213
Convert -339094 (base 10) to base 8.
-1226226
What is 11653 (base 8) in base 11?
3868
What is 15ed6 (base 16) in base 7?
522564
-100100010100011011100 (base 2) to base 7
-13054463
What is -48037 (base 12) in base 4?
-113220223
Convert -3113334 (base 10) to base 4.
-23320011312
194a60 (base 15) to base 14
2407b2
What is -40313442 (base 5) in base 6?
-10531205
Convert 112222220111 (base 3) to base 8.
1100411
What is 54a97 (base 11) in base 14?
21153
-a70a72 (base 11) to base 13
-480392
What is -1005052 (base 8) in base 2?
-1000000101000101010
What is -2706ba (base 13) in base 15?
-139920
What is 10411415 (base 6) in base 4?
1030112003
1022241442 (base 6) to base 11
6084158
11365315 (base 7) to base 14
1c3445
What is -1442454 (base 7) in base 16?
-2fb4a
-101011010100101001111 (base 2) to base 8
-5324517
What is 12413023 (base 5) in base 3?
20020120102
What is 1201042100 (base 5) in base 7?
32253404
What is -634555 (base 13) in base 8?
-10671310
What is -127537 (base 8) in base 4?
-22331133
Convert 210010122212020 (base 3) to base 4.
222312101022
-7277 (base 9) to base 2
-1010011010111
1335858 (base 10) to base 11
832717
4340214 (base 5) to base 9
123084
What is 1536732 (base 8) in base 10?
441818
-7380 (base 10) to base 6
-54100
-50043047 (base 8) to base 9
-21678348
-19f3e (base 16) to base 8
-317476
What is 11001000101000101111 (base 2) in base 4?
3020220233
29aae9 (base 16) to base 4
22122223221
54129 (base 13) to base 14
3d469
What is 243071 (base 8) in base 5?
10133023
What is 45a88 (base 13) in base 2?
11111000000110111
12000211222 (base 3) to base 10
99035
What is -24047 (base 16) in base 7?
-1153052
Convert 18c8a1 (base 13) to base 8.
2311654
30520013 (base 6) to base 12
366009
What is 421a0 (base 12) in base 11?
5a126
Convert 64438 (base 14) to base 16.
3b282
Convert -21a876 (base 11) to base 13.
-c3a70
Convert 254462 (base 9) to base 16.
25a57
Convert 2032650 (base 9) to base 4.
10020302022
What is 3568 (base 11) in base 2?
1001001000000
What is -15501343 (base 6) in base 5?
-12013424
|
{
"pile_set_name": "DM Mathematics"
}
|
g(i). Let j = -15 - -12. Give p(j).
-6
Let z(f) be the first derivative of -4*f - 1 - 1/2*f**2. What is z(-5)?
1
Suppose 0 = z - 4. Suppose -z*h = h - 15. Let l(i) = -2*i**2 + 3*i - 2. Calculate l(h).
-11
Let v(a) be the third derivative of a**4/4 - a**3/6 - a**2. Let w be (-1)/4 - (-9)/(-12). Give v(w).
-7
Let r(q) be the second derivative of -q**3/6 - 5*q**2/2 + 8*q. Give r(-5).
0
Let r(y) be the third derivative of -2*y**2 - 1/20*y**5 + 0 + 0*y + 0*y**4 + 1/6*y**3. What is r(1)?
-2
Let g(b) = b**2 + 7*b + 4. Let d be -5*-1*(-24)/20. Calculate g(d).
-2
Suppose 81 = 3*v - 3*q, 7 - 33 = -2*v - 5*q. Suppose -2*a + 3*r = -v, -5*a = -3*r + 8 - 43. Let x(h) = -h**2 + 5*h - 1. What is x(a)?
3
Let q(f) = 13*f**3 + 5*f**2 - 15*f + 4. Let w(b) = -7*b**3 - 3*b**2 + 8*b - 2. Let s be (1 - (-3)/(-1)) + 8. Let h(j) = s*q(j) + 11*w(j). Calculate h(2).
-6
Let h(m) = 4*m**3 - 6*m**2 + 9*m - 10. Let w(s) = s**3 + s - 1. Let c(d) = h(d) - 3*w(d). Give c(5).
-2
Let w = -59 - -53. Let n(m) = -m**3 - 7*m**2 + 6*m + 10. Let c(p) = -p**3 - 8*p**2 + 5*p + 11. Let v(k) = 2*c(k) - 3*n(k). Give v(w).
4
Let y(s) be the first derivative of s**4/4 + 3*s**3 - s + 23. Determine y(-9).
-1
Let x(s) = -s**2 + 3*s + 3. Let d(m) = -m**3 + 5*m**2 - 6*m + 3. Let z be d(4). Let r = z - -10. Determine x(r).
-7
Let j(z) = z - 7. Suppose 0 = -11*b + 47 + 8. What is j(b)?
-2
Let f(i) = 2*i + i**2 - 3 - 1 - 1 + 1 - i**3. Give f(3).
-16
Let t(d) = -d**2 - 6*d - 3. Let y be t(-5). Suppose -l + 5 = -4*v, -3*l + 10 + 5 = 2*v. Let i = l - y. Let j(k) = k**2 - k - 4. Calculate j(i).
2
Suppose -3*x + 6 - 14 = -4*g, 0 = -5*x + 4*g - 8. Let a(u) be the first derivative of 1/3*u**3 + 0*u**2 + 1 - 4*u. What is a(x)?
-4
Let f(c) be the second derivative of c**4/12 - c**3/2 + c**2/2 + 4*c. Give f(3).
1
Let n(t) = -t - 6. Let b be n(-3). Let m = b - -7. Suppose 6*x + 17 = -4*a + x, m*a = 5*x - 7. Let z(g) = g + 2. Determine z(a).
-1
Let t(x) = x**2 + 8*x - 2. Let c(w) = -2*w + 24. Let m be c(16). Determine t(m).
-2
Let c(y) = -2*y + 1. Let f = -12 + 8. Determine c(f).
9
Suppose -w + 5 = 10. Let s(u) be the second derivative of u**4/12 + u**3 + 7*u**2/2 + 8*u. What is s(w)?
2
Suppose -22*f = -31*f - 18. Let m(c) = c**2 + c. Give m(f).
2
Let b(k) be the first derivative of -3*k**2 - 1. Suppose 6 = g - m, 3*g - 2*g = -5*m + 24. Let r = 10 - g. Give b(r).
-6
Let c(o) be the first derivative of -1/12*o**4 - 1/2*o**2 + 0*o + 0*o**3 + 1. Let q(p) be the second derivative of c(p). Determine q(1).
-2
Suppose 0 = n + 2*f - 4, 0 = -2*n - 0*f + 2*f + 8. Let g(r) = 49*r - 48*r + 0 - n. Let d(a) = -4*a + 1. Let b be d(-1). Calculate g(b).
1
Let s(w) = w**3 - 7*w**2 + 3*w - 6. Suppose 2*i - 10 = -0*i + t, 9 = -i + 4*t. Give s(i).
15
Let w be 4 + -3 + 5 - 3. Suppose 52 = w*y - y. Let b(v) = -25*v - 2*v**2 - 2*v**2 - v**2 + y*v. Determine b(-1).
-6
Let p(s) = -28*s**2 + s - 6. Let k(i) = 56*i**2 - 2*i + 11. Let t(d) = 6*k(d) + 11*p(d). Give t(1).
27
Suppose 2*h + 4 = 4*u, u - 4*h = 19 - 4. Let d(w) = -3*w + 5. Let q(k) = -2*k - 1 + 5*k - 5. Let i(j) = -5*d(j) - 4*q(j). Calculate i(u).
-4
Let j(i) = -i + 7. Suppose -2*a + 54 = 5*x, 2*x + 2*a - 3*a - 27 = 0. What is j(x)?
-5
Let h(k) = 1. Let t(b) = -b**2 - 6. Let r(o) = -4*h(o) - t(o). Calculate r(0).
2
Suppose 0 = 8*q - 244 + 84. Let n(u) = 2*u + 25*u**2 - q*u**2 - 1 + 2*u**3 - u**3. Determine n(-4).
7
Suppose -2*z = -5*z - d, 2*z - 4*d = 0. Let g(v) = -v**3 - v**2 - v - 2. Calculate g(z).
-2
Let y(q) = q + 1. Let c be y(-3). Let b(d) be the second derivative of -1/3*d**3 + 0 + d + 1/2*d**2. Calculate b(c).
5
Let d be (-14)/(-8) - (-3)/(-4). Let g(r) = 6*r**3 - r**2 + r - 1. Determine g(d).
5
Let c(t) = t**2 - 3*t - 4*t + 4*t + t**2. Let z be c(2). Let k(u) = -u**2 + 3 - u**3 - 1 - 3*u + 4*u**2. Determine k(z).
0
Let a(p) = -2 - p - 3*p**2 - 5*p + 2*p**2. Let u(s) = 4*s**2 - 1. Let q be u(-1). Let k(w) = -w - 2. Let c be k(q). What is a(c)?
3
Let c(p) be the third derivative of -p**4/12 - 13*p**3/6 + 20*p**2. What is c(-9)?
5
Let p(k) be the first derivative of -k**2 + 4*k - 41. Determine p(4).
-4
Let o(f) be the first derivative of -f**5/60 + 5*f**4/24 - f**3/2 + f**2 - 3. Let p(k) be the second derivative of o(k). Give p(3).
3
Let c(u) be the second derivative of 13*u**4/12 - u**3/6 + 2*u. Give c(-1).
14
Let i(s) = -7 - 4*s + 2*s + 1. Suppose -3*n + 5*y + 6 = -1, -6 = -2*n + 2*y. Suppose -n*j + 4*z - 10 = 2*z, -5*j - z - 30 = 0. Calculate i(j).
4
Let r(z) = z**3 + 4*z**2 - 6. Let n be r(-4). Let l(i) = i**3 + 7*i**2 + 6*i + 3. Determine l(n).
3
Let t be (4/(-6))/((-2)/(-12)). Let z = -6 - t. Let w be z - -1 - (0 + 3). Let c(h) = -h**3 - 5*h**2 - 4*h + 4. What is c(w)?
4
Let m = -5 - -3. Let u(s) = s + 3*s + 1 + 2. Determine u(m).
-5
Let y(p) be the second derivative of -p**8/6720 - p**7/630 - p**6/360 + p**5/120 + p**4/4 - p. Let a(j) be the third derivative of y(j). Give a(-2).
-3
Let s(o) = -4*o + 6. Let h(d) = -d**2 + 6*d + 10. Let n be h(7). Suppose 0 = -3*q + n*w + 27, 25 = -w - 4*w. Calculate s(q).
-10
Let w(r) = -r + 7 - 1 + r + r. What is w(-8)?
-2
Let f(h) = -12*h - 15. Let n(w) = -w - 1. Let a(y) = -f(y) + 15*n(y). Let c be 1 + 1 - (19 + -5). Let r = c - -10. Determine a(r).
6
Let n be (2/1 - (-2 + 3))/1. Let q(k) = 4*k. Determine q(n).
4
Let w(s) be the third derivative of s**6/120 + s**5/10 + s**4/4 + s**3/2 - 18*s**2. Calculate w(-4).
11
Let b(s) = -s**2 + 1. Let v = 6 - 3. Suppose -7 = 2*t - v. Calculate b(t).
-3
Suppose -5*m + 9 = -1. Suppose 12 = m*z + 2*z. Suppose z*d - u + 4*u = -18, 2 = -u. Let t(j) = j**3 + 3*j**2 - 2*j - 2. Determine t(d).
-10
Suppose -t - 3 = 2*r - 2, -7 = -t + 2*r. Let w = 1 + t. Let i(h) = -1 + 2*h - h + 0 - 4. Give i(w).
-1
Let k(u) be the first derivative of -6*u - 1 - 3*u**2 + 1/3*u**3. Give k(6).
-6
Let l(s) = s**2 + 6*s + 1. Let d be 3/2*(-1 - -3). Suppose 0 = -d*n - 15, 41 = -g - 5*n + 11. What is l(g)?
-4
Let b(v) = v**3 + 2*v**2 + 2*v - 2. Suppose 2*a + 6 = -g, -3*g = a - 2*g + 4. Let d = 0 + a. Determine b(d).
-6
Let w(k) be the second derivative of -k**5/20 + k**4/2 - 4*k**3/3 + 3*k**2 + 2*k. Let s(u) = -5*u - 30. Let i be s(-7). Determine w(i).
-9
Suppose 2 = -3*s - 7. Let z = -5 - -3. Let u(i) = -5*i - 4. Let k(x) = -x. Let l(o) = z*k(o) + u(o). What is l(s)?
5
Let g be (20 + 3/3)*-1. Let v be g/(-27) + 2/9. Let y(z) = -6*z**3 + 3*z**2 + 3*z + 4. Let i(x) = -x**3 + x**2 + x + 1. Let o(t) = -3*i(t) + y(t). Give o(v).
-2
Let s(w) be the first derivative of 1/6*w**3 + 1 + 1/20*w**5 - 1/4*w**4 - w + 2*w**2. Let r(h) be the first derivative of s(h). Give r(3).
7
Let i(f) be the second derivative of f**3/6 + 3*f**2/2 - 9*f. Calculate i(-4).
-1
Let k(b) = -3*b + 1 - 3 + 15 - 4. Give k(6).
-9
Let z be (6/4)/(18/12). Let c(o) = -5*o + 4*o + z - 10 - 4. Give c(-8).
-5
Let a(o) = -o - 7. Suppose -2*u = -4 - 4. Let i = u + -9. Calculate a(i).
-2
Let i(z) = 0 - 5 + z - z**2 + 4. Determine i(2).
-3
Let b = -3 - -14. Let c(q) = -q**3 - 4*q - 4. Let d(a) = 3*a**3 + 11*a + 12. Suppose 0 = 2*p - 8. Let n(v) = b*c(v) + p*d(v). Give n(0).
4
Suppose -3*u - 3*o = -6*o, -3*u + 8 = 5*o. Suppose 3*y = -h - 1 - 9, 0 = -2*h - y. Let v(m) = 0*m - m**2 - h*m**3 + m + 0*m**3. Determine v(u).
-2
Let t(r) be the third derivative of r**6/120 - r**5/12 - r**4/24 - r**3/6 + r**2. Suppose -4*d - 40 = -b - 3*b, 3*b = -4*d - 5. Calculate t(b).
-6
Let i(a) = -5*a**2 - 10*a + 6. Let r(w) = -w**2. Let d(v) = i(v) - 6*r(v). Give d(6).
-18
Let f be (60/40)/(6/20). Let x(t) = -3*t**3 + 4*t**2 - 9*t + 7. Let i(s) = -16*s**3 + 19*s**2 - 46*s + 35. Let q(l) = -2*i(l) + 11*x(l). Give q(f).
-3
Let r(c) = -c**2 - 5*c + 2. Let l be r(-3). Let q(t) = -2*t + 10. What is q(l)?
-6
Let c(l) = 3*l**2 - 2*l - 2. Suppose 5*d - 8 - 2 = 0. Suppose 0 = -3*a - d*i + 5, 2*i + 4 = 0. Suppose 7*h - 8 = a*h. Give c(h).
6
Let p(s) be the second derivative of -s**3 - s**2 + 8*s. Give p(3).
-20
Suppose 0 = m + 15 - 12. Let t(n) be the second derivative of -n**3/3 - 2*n**2 - n. Calculate t(m).
2
Suppose p = -31 + 29. Let r(z) = 2*z**2 + 4*z + 2. Calculate r(p).
2
Suppose 0*k = -2*k - 3*p + 4, -2*k = 2*p - 4. Let r(x) = 3*x**3 - x + 2. What is r(k)?
24
Let g(o) = -6*o + 4*o + 3 - o + 4*o. What is g(0)?
3
Let n(b) = -20*b**3 + 37*b**3 - 13*b**3 + b. Suppose 0 = -3*i - 0 + 3. Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the second derivative of -3*f*g*p*y**2 + 151*f*g*y**2 - 52*f*g + 9*f*p + 3*f*y + 2*f - 2*g*p*y**2 - 2*y**2 wrt y?
-6*f*g*p + 302*f*g - 4*g*p - 4
What is the third derivative of 148*q*t**5 + 56*q*t**4 - 45*q*t + t**4 - 36*t**2 - 2*t + 2 wrt t?
8880*q*t**2 + 1344*q*t + 24*t
What is the third derivative of -19*d**4*u - 14*d**4 - 493*d**3*u + 4*d**3 - 673*d**2*u - 234*d**2 - 2*d*u wrt d?
-456*d*u - 336*d - 2958*u + 24
Find the second derivative of 2*v**4 - v**3 - 76*v**2 - 19401*v.
24*v**2 - 6*v - 152
What is the first derivative of q**4 - 239391*q**3 + 1505179?
4*q**3 - 718173*q**2
Find the second derivative of -405*i*y**2 + 6*i*y + 15*y**2 + y - 10123 wrt y.
-810*i + 30
Find the first derivative of -2*d**2*p + 257*d*j*p - 3*d*j + 5*d*x + 7*j*p + 130*j*x - p*x + 2*x - 4 wrt d.
-4*d*p + 257*j*p - 3*j + 5*x
Find the second derivative of -58935*z**2 + 15095*z.
-117870
Find the second derivative of f**3*i**2 + 106021*f**3 - 38*f**2*i**2 + 9996*f*i**2 - 3*i wrt i.
2*f**3 - 76*f**2 + 19992*f
Find the second derivative of 15*m**3*v + 2*m**3 + 3*m**2*v - 77*m**2 + 2*m*v + 3163401*m + 1 wrt m.
90*m*v + 12*m + 6*v - 154
Find the second derivative of 30*k**2*m**2 + k**2*m - 15604*k**2 - k*m**2 + 817347*k*m wrt k.
60*m**2 + 2*m - 31208
Find the third derivative of 639*p**4 + 17*p**3*z + 3*p**2*z + 8*p**2 + 4*p + 2*z wrt p.
15336*p + 102*z
Find the second derivative of 7591*t**4 + t**2 - 303936*t wrt t.
91092*t**2 + 2
What is the derivative of 6470*u**3*x**3 - 35433*u**3 - 2*u*x**4 wrt x?
19410*u**3*x**2 - 8*u*x**3
What is the first derivative of 55506*m**4 + 111638 wrt m?
222024*m**3
What is the first derivative of -128876*h*s - 124148*s wrt h?
-128876*s
Find the second derivative of 971830*t**3 + 1750682*t.
5830980*t
Find the second derivative of -10701*f**3*y**2 - 6*f**3 + 333*f + 26*y**2 - y + 2 wrt y.
-21402*f**3 + 52
Differentiate -34*a*c**2*s - a*c*s + 3*a*s - 699*c**4 + 51798 wrt c.
-68*a*c*s - a*s - 2796*c**3
Find the third derivative of -105*b**3*c**3 + 176*b**3*c**2 + 12*b**3*c - 2*b**2*c**3 - 7*b**2*c**2 - 614*b*c**2 - 5*c**2 wrt b.
-630*c**3 + 1056*c**2 + 72*c
Find the third derivative of 7*d**3*i**4 - 2*d**3*i**2 + 25558*d**3*i + 3124*d*i**4 wrt i.
168*d**3*i + 74976*d*i
Find the second derivative of -2*g**3*n**2 - 1154*g**3*n - g**3 + 8240*g*n**3 - 10*n wrt n.
-4*g**3 + 49440*g*n
Find the third derivative of 24*f**3*u**2 + 134*f**3*u - 11*f**3 + 2*f**2*u**2 - 286*f**2*u + 7 wrt f.
144*u**2 + 804*u - 66
Find the third derivative of -390048*s**3 - 10818*s**2 + 14*s.
-2340288
Differentiate -2*b*k*p - 3*b*p + 7338*b + 139940*k - p wrt b.
-2*k*p - 3*p + 7338
What is the second derivative of -9177*h**3*l**4 + 183756*h**3*l - 4*h*l**4 wrt l?
-110124*h**3*l**2 - 48*h*l**2
Differentiate -31*l**2*r**2 + l**2*r - l**2 - 19*l - 2*r**2 + 5*r + 43 with respect to l.
-62*l*r**2 + 2*l*r - 2*l - 19
Find the first derivative of 23*d**3 + 3*d**2 + 74*d + 14166.
69*d**2 + 6*d + 74
What is the first derivative of -d*f*u - 41692*d*f + 3*d*u - 291706*d - 36*f*u wrt f?
-d*u - 41692*d - 36*u
Find the second derivative of -43789*m**3 - 1714*m.
-262734*m
Find the third derivative of 21582*l**4 - 159*l**2 - 23*l wrt l.
517968*l
Find the third derivative of 229*y**6 + 55*y**4 - 3*y**3 - 146130*y**2 wrt y.
27480*y**3 + 1320*y - 18
Differentiate -424756*m**3 - 2692569 wrt m.
-1274268*m**2
Differentiate 11*n*s*z**2 - 579*n*s*z - 16*n*z**2 + 72*n*z + s*z - z wrt s.
11*n*z**2 - 579*n*z + z
Find the second derivative of 22966*l**5 + 30296*l.
459320*l**3
What is the second derivative of -2*j**3*u + 49*j**3 - 2*j**2*u - j**2 + j*u - 10*j - 103*u wrt j?
-12*j*u + 294*j - 4*u - 2
Differentiate 27940*f - 169310.
27940
What is the third derivative of 43*n*q**3 + n*q**2 - 160*n*q + 7*n + 2275*q**3 + 2*q - 1 wrt q?
258*n + 13650
Find the third derivative of 27472*a**4 - 225*a**2 + 10*a wrt a.
659328*a
Find the third derivative of -225901*f*g**6 + 9*f*g**5 + 14*f*g**2 + 9969*f*g wrt g.
-27108120*f*g**3 + 540*f*g**2
What is the second derivative of 31*l*t**3 + 37562*l*t**2 + 7297*l*t + 3*l + t + 1 wrt t?
186*l*t + 75124*l
Differentiate -2*d*t*v - 36*d*v - d + 38*t**2*v - 252*t wrt t.
-2*d*v + 76*t*v - 252
What is the derivative of 303992*u**2 + 2238941?
607984*u
Find the second derivative of 5430*g**3*l**2 - g**3*l + 13231*g**3 - 2*g**2 - 4*l**2 wrt l.
10860*g**3 - 8
Find the third derivative of 20*o**6 - 5*o**5 - 7*o**3 + 41561*o**2.
2400*o**3 - 300*o**2 - 42
What is the first derivative of 3*d**4 - 119126*d**3 + d**2 - 3214084 wrt d?
12*d**3 - 357378*d**2 + 2*d
Find the first derivative of 49*p**4*s - 2*p**2*s + 15642*s wrt p.
196*p**3*s - 4*p*s
What is the third derivative of w**2*x**3 - 1371*w**2 - 18*w*x**2 - 2946*x**3 wrt x?
6*w**2 - 17676
What is the derivative of 4436887*h*s**3 - 9*s**3 - 3*s**2 - 7*s - 85 wrt h?
4436887*s**3
Find the second derivative of -65248*d*q**3 - 13*d*q + 2527*d - q**4 wrt q.
-391488*d*q - 12*q**2
Differentiate -3*j**4 - j**3 - 1216*j + 31275.
-12*j**3 - 3*j**2 - 1216
Find the third derivative of 24061*f**3 + 27640*f**2.
144366
Differentiate 430551*j + 787188.
430551
What is the second derivative of 781*j*m**2 - 889151*j*m - 1609*m**2 - m wrt m?
1562*j - 3218
Find the third derivative of 932483*l**5*s**2 - 42*l**2*s + l**2 - 2376*l*s + 3*s**2 - 2 wrt l.
55948980*l**2*s**2
Find the second derivative of -3175*l**4*r**3*z + 4*l**4*z + 6*l*r**3 - 120*l*z + 2*r**3*z + 2*r**2*z + 2*z wrt l.
-38100*l**2*r**3*z + 48*l**2*z
What is the third derivative of 261*j*q**3 - 280*j*q**2 - 8*j - 1094*q**3 - 41*q**2 wrt q?
1566*j - 6564
What is the third derivative of -2339*d**5 - 105*d**3*z - d**2*z + 4*d**2 + 762*d*z - 7*z wrt d?
-140340*d**2 - 630*z
Find the first derivative of -28*s**2*y + s**2 + 3*s*y**2 + 4*s - 15*y**2 + 2*y - 1744 wrt y.
-28*s**2 + 6*s*y - 30*y + 2
Find the third derivative of 308863*s**3*x**2 - s**2*x**2 - 1139916*s**2*x wrt s.
1853178*x**2
What is the derivative of -238*p**2 + 209*p - 360125 wrt p?
-476*p + 209
Find the third derivative of 10018*c**4*g - c**4 - 24*c**3*g + c**3 - 18*c**2*g + c**2 + 6*c*g + 670*c wrt c.
240432*c*g - 24*c - 144*g + 6
Differentiate -8472*k + 7228 wrt k.
-8472
Differentiate -5482*l**3*v*z**3 - 3*l**3*v*z**2 - 2*l**3*z**3 - 263*l**3*z - 4*l**2*z - 3*z**3 wrt v.
-5482*l**3*z**3 - 3*l**3*z**2
Find the second derivative of -8*k**3*t - 10515*k**3 + 2*k*t - 60*k - 1273*t wrt k.
-48*k*t - 63090*k
What is the third derivative of 12*d**4 + 974*d**3 - d**2 - 236*d + 37?
288*d + 5844
What is the third derivative of 7012*b**4 - 2*b**3 + 494*b**2 + 3*b wrt b?
168288*b - 12
Find the second derivative of 9*t**3 + 9329*t**2 + 13*t - 2333 wrt t.
54*t + 18658
What is the third derivative of 10*f**5 + 4776*f**3 + 354742*f**2 wrt f?
600*f**2 + 28656
What is the first derivative of -68668*k**3 + k*l**3 - 80854*l**3 wrt k?
-206004*k**2 + l**3
Find the second derivative of 2699473*h**2 - 3832295*h.
5398946
Find the second derivative of 23376*g**2 - 983*g wrt g.
46752
Differentiate 6217*r**2 - 10*r + 186314 wrt r.
12434*r - 10
What is the first derivative of -264564*a*x**3 - 3*a*x + 49909*x**3 + 2*x**2 + x wrt a?
-264564*x**3 - 3*x
Find the third derivative of -37*v**4 - 58*v**3 + v**2 + 51*v - 798 wrt v.
-888*v - 348
What is the second derivative of -18240*y**4 - 2*y**2 + 5038*y wrt y?
-218880*y**2 - 4
What is the second derivative of -445*c**3*l**2 + 36*c**3 + 2*c*l - c + 16*l**2 - l wrt c?
-2670*c*l**2 + 216*c
Differentiate 2*j**2*n + 553*j*n + 405*n - 187 with respect to j.
4*j*n + 553*n
Differentiate 21*j**3 + 161*j**2 + 20479 wrt j.
63*j**2 + 322*j
Find the first derivative of -783540*j + 446576.
-783540
What is the derivative of 3*n**3*t**2 - 4*n**3 + 38*n**2*t + 8392*t**2 wrt n?
9*n**2*t**2 - 12*n**2 + 76*n*t
Find the second derivative of -5035*l**2*r - 4*l*r + l - 394*r - 2 wrt l.
-10070*r
Differentiate -8110*d**4*h**2 + 31*d**2*h**3 + 2*h**3 + 1076*h - 57 wrt d.
-32440*d**3*h**2 + 62*d*h**3
Find the second derivative of 4*k**3 + 5022*k**2 + 2481*k - 2.
24*k + 10044
What is the second derivative of -446538*w**2 - 3*w - 109652 wrt w?
-893076
What is the second derivative of -3*f**3*v**3 - 2*f**3*v + 15*f**3 + 32*f*v**3 - 3155*f*v - f - 1469*v**3 wrt v?
-18*f**3*v + 192*f*v - 8814*v
Find the first derivative of 177*o**3*t - 30
|
{
"pile_set_name": "DM Mathematics"
}
|
*j**2*s**2 + 12*j*s**2
Find the third derivative of -20*o**3*p**3 + 325*o**3 + 13*o**2*p**3 - 4*o**2*p - 145*o**2 wrt o.
-120*p**3 + 1950
Find the third derivative of 2*k**4*s + 538*k**4 + k**3*s + 18619*k**2*s + k**2 + k*s + 2*k wrt k.
48*k*s + 12912*k + 6*s
Find the third derivative of -1237095*b**3 + 646561*b**2.
-7422570
What is the third derivative of -8607*f**4 + 32987*f**2?
-206568*f
What is the second derivative of 816*l**3*q**3 + 765*l**3*q**2 - 247791*l*q**3 + l*q**2 wrt l?
4896*l*q**3 + 4590*l*q**2
What is the second derivative of -5*g*r*u**2 - 10*g*r + 2*g*u**2 - 6*g + r*u**2 - 2892*u**2 + 14*u wrt u?
-10*g*r + 4*g + 2*r - 5784
What is the third derivative of 13330*s**3 + 61*s**2 - 577?
79980
What is the second derivative of -6*d*r**2*z + d*r*z**2 + 480*d*r*z + 7*d*z**2 - r**2*z**2 - 3*r**2*z wrt r?
-12*d*z - 2*z**2 - 6*z
What is the third derivative of -247*h*i**3 - 51*h*i**2 + h - 1652*i**6 + 9*i**2 - 16*i wrt i?
-1482*h - 198240*i**3
What is the third derivative of -a**2*l**3*v**2 + 5565*a**2*l**3*v - a**2*l**2*v**2 - 20*a**2*v + a*l**2 - 4*l**2*v + v wrt l?
-6*a**2*v**2 + 33390*a**2*v
What is the third derivative of 97788*j**3*s**3 - 406*j**2*s + 79*j**2 + j*s**3 wrt j?
586728*s**3
What is the derivative of t**2 + 77131*t + 843217?
2*t + 77131
Find the third derivative of -394485*d**6 - d**4 + 405016*d**2.
-47338200*d**3 - 24*d
What is the second derivative of 179535*a**5 + 271808*a?
3590700*a**3
What is the third derivative of -811*g**3*v**3 - 62*g**3 + g**2*v + 2*g**2 + 2*g*v**3 + 3*v**3 + 63 wrt g?
-4866*v**3 - 372
Find the first derivative of -2288311*p**3 + 1989994.
-6864933*p**2
What is the third derivative of 3*c**6 - 7383*c**4 + 3536*c**2 - 4*c wrt c?
360*c**3 - 177192*c
What is the first derivative of 446391*b**2 + 945325 wrt b?
892782*b
What is the derivative of 156*r**2*x**3 - 10*r**2*x + 5*r*x**3 + 13*x**3 + 3782*x wrt r?
312*r*x**3 - 20*r*x + 5*x**3
Find the second derivative of 2*j**3*y + 6*j**2*r - 2118*j**2*y - 12*j*r*y + 19*j*y + j + 10*r wrt j.
12*j*y + 12*r - 4236*y
What is the second derivative of 2176393*u**5 - 729496*u?
43527860*u**3
Find the second derivative of -55156*m**4 + 4*m**3 + 315931*m + 2 wrt m.
-661872*m**2 + 24*m
What is the first derivative of 47765*a**2*f - 3*a**2*j**2 + 43*a**2 + a*f + 6*f*j**2 - 211*j**2 wrt f?
47765*a**2 + a + 6*j**2
Find the third derivative of 6126159*r**4 - 42886*r**2 + 4.
147027816*r
Find the second derivative of -3324*b*l**2 - 134*b*l + 164*l wrt l.
-6648*b
What is the second derivative of 32144*a**5 + a + 22240 wrt a?
642880*a**3
Find the third derivative of -3*g**2*k**3 - g**2*k - 1252*g**2 + g*k - 1920*k**3 - 4*k**2 wrt k.
-18*g**2 - 11520
What is the second derivative of -15206*o**2 + 16*o - 764?
-30412
What is the third derivative of -930458*y**3 + 2*y**2 - 82515?
-5582748
Find the first derivative of -77*a*m + 3*a*z + 308*a + 19*m*z - 85*m - 55*z + 2 wrt a.
-77*m + 3*z + 308
Find the third derivative of -25*h*x**4 + 48*h*x**3 - 3*h*x**2 + 4*h*x - 20*x**4 - 1323*x**2 wrt x.
-600*h*x + 288*h - 480*x
What is the derivative of 186232*q**2 + 295512 wrt q?
372464*q
Find the second derivative of 4*j**2*z**2 + 5558*j**2*z - 2*j*z**2 - 145*z**2 - 2*z wrt z.
8*j**2 - 4*j - 290
Find the third derivative of -3*v*w**6 - 10045*v*w**4 + 2*v*w**2 + 42*v + 34*w**2 wrt w.
-360*v*w**3 - 241080*v*w
What is the second derivative of 26*u**4 - 2125*u**2 + 142073*u wrt u?
312*u**2 - 4250
Find the second derivative of 1582384*j**2 - 129060*j wrt j.
3164768
Find the first derivative of 9*t**4 + 3*t**3 + 23*t**2 + 270*t - 1478573.
36*t**3 + 9*t**2 + 46*t + 270
Differentiate 85626*f**2 - 29289 with respect to f.
171252*f
What is the second derivative of 289*w**3 + 130*w**2 - 94332*w?
1734*w + 260
Find the third derivative of -3*u**5 + 14*u**4 + 198*u**3 + 45*u**2 - 631*u - 2.
-180*u**2 + 336*u + 1188
Find the third derivative of -37785*b**5 + 30*b**2 - 2*b + 5 wrt b.
-2267100*b**2
What is the second derivative of -11*f**5*x + 115*f**3*x + 26*f**2 + 34*f*x - 834*f - 18*x wrt f?
-220*f**3*x + 690*f*x + 52
Find the third derivative of -44*r**5 + 3075*r**4 - 101265*r**2.
-2640*r**2 + 73800*r
What is the second derivative of -3*h**5*z**2 + 1900*h**5*z - 36*h*z**2 - 90*h*z wrt h?
-60*h**3*z**2 + 38000*h**3*z
Find the second derivative of 18988*i**3 + 60004*i wrt i.
113928*i
Find the third derivative of -2*m*r**5 - 99*m*r**2 - 16415*r**5 - 100*r**2 wrt r.
-120*m*r**2 - 984900*r**2
What is the derivative of 6*q**3 - 1375*q**2 - 109*q + 356961?
18*q**2 - 2750*q - 109
What is the third derivative of 442188*h**3*p - h**3 + 3*h**2 - 158*p + 204 wrt h?
2653128*p - 6
Differentiate -231336*i - 79238.
-231336
Find the third derivative of -21*f**3*v**3 - 122*f**3*v**2 + 1173*f*v**3 + 461 wrt v.
-126*f**3 + 7038*f
Find the third derivative of -2550*x**3 + 673*x**2 - 17*x wrt x.
-15300
Find the third derivative of 5*d*g*i**4 - 3*d*g*i**2 - 2*d*i**3 - 40*d*i + 480*g*i**4 + 142*g wrt i.
120*d*g*i - 12*d + 11520*g*i
What is the second derivative of 6370460*g**3 - 4719177*g?
38222760*g
What is the third derivative of 2549926*d**4 + 3708836*d**2 wrt d?
61198224*d
Differentiate -3548566*p*s**3 - 2*s**3 - s**2 - 12379*s + 2 wrt p.
-3548566*s**3
Find the second derivative of -2959*h*k**3 - 3*h*k**2 - 26*h*k + 2*h + 4*k**4 + 9*k - 13 wrt k.
-17754*h*k - 6*h + 48*k**2
What is the third derivative of 546916*o**6 - 16051*o**2 + 19?
65629920*o**3
Find the second derivative of 78335*a*v**2 - 95068*a + 5*v wrt v.
156670*a
What is the second derivative of 3017*b**3*l + b**3 - 2*b**2*t - 2*b**2 + 5559*b*l*t - 5*b + l wrt b?
18102*b*l + 6*b - 4*t - 4
Find the second derivative of 1709*s**5 + 121*s**2 + 2473131*s wrt s.
34180*s**3 + 242
Differentiate -10092*o**2 - 41248 with respect to o.
-20184*o
What is the derivative of -1994*h**3*r - 2*h*j*r + h*r**3 + 855*j*r**3 - 17*j wrt h?
-5982*h**2*r - 2*j*r + r**3
What is the third derivative of -331352*v**3 - 259021*v**2 wrt v?
-1988112
What is the third derivative of 2*i**4*s**3 + 5985*i**3*s**3 - 13*i**2 - 2*s**3 + 1015*s**2 + 2 wrt i?
48*i*s**3 + 35910*s**3
Find the second derivative of -1277859*x**2 - 10*x + 53251 wrt x.
-2555718
Find the second derivative of -3469684*m**4 - m**3 + 3160*m + 82.
-41636208*m**2 - 6*m
What is the second derivative of -214486*m*o**2 + 1547690*m*o wrt o?
-428972*m
Differentiate 13*c*m**4 - 72*c*m**2 - 98*c + 195 with respect to m.
52*c*m**3 - 144*c*m
What is the second derivative of -2*j**3 + 102399*j**2 - 150*j - 233?
-12*j + 204798
What is the second derivative of o**5 + 446866*o**4 - 397033*o?
20*o**3 + 5362392*o**2
What is the third derivative of -11418*a**2*w**4 - a**2*w**3 + 14*a**2*w**2 + 11*a**2*w + 3*a**2 - 2 wrt w?
-274032*a**2*w - 6*a**2
Differentiate -61591*u - 271087 with respect to u.
-61591
What is the third derivative of -611*y**6 - 890*y**5 + y**3 + 25849*y**2 - 26*y wrt y?
-73320*y**3 - 53400*y**2 + 6
Differentiate 41516*s**4 + 3*s**3 - 575243.
166064*s**3 + 9*s**2
Find the third derivative of 47*d**3*l**2 + 161*d**3*o + d**2 - 6*d*l**2*o - 87*d*l*o + 3*d*o wrt d.
282*l**2 + 966*o
What is the second derivative of -140439*b**5 + 9482*b - 6?
-2808780*b**3
Find the third derivative of -190*g**3*j**4 + 15*g**3*j**3 + 10334*g**3*j**2 wrt j.
-4560*g**3*j + 90*g**3
What is the second derivative of 9*f**5 + 44*f**4 - 252*f**2 + 9714*f - 8 wrt f?
180*f**3 + 528*f**2 - 504
Find the third derivative of -12*g*l*w**3 + 145*g*l - 105*g*w**3 - g*w**2 - 1353*l*w**2 + 60*w**5 wrt w.
-72*g*l - 630*g + 3600*w**2
Differentiate 275367*y - 50278.
275367
Find the third derivative of p**4*w**2 + 47*p**4 - 353*p**3*w**3 + p**2*w**3 - p**2 + 273*p*w**3 - 78*p*w**2 - 3*p*w wrt p.
24*p*w**2 + 1128*p - 2118*w**3
Differentiate 2*f*y**3 + 3*f - 168*y**3 + 4221*y**2 + 552974 wrt y.
6*f*y**2 - 504*y**2 + 8442*y
Find the second derivative of 259582*n**5 - 381623*n + 3 wrt n.
5191640*n**3
What is the third derivative of -1286683*o**5 - 21301*o**2 - 66*o wrt o?
-77200980*o**2
Differentiate -3*q**3 + 2*q**2 + 4621*q - 126678 wrt q.
-9*q**2 + 4*q + 4621
Differentiate 236*o**3*z**4 + 1727*o**3*z**2 - 169112*o**3 wrt z.
944*o**3*z**3 + 3454*o**3*z
Find the second derivative of 56405*n**3 + 156*n + 105 wrt n.
338430*n
What is the first derivative of -54*v**3 + 40*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
when 181387 is divided by 3507?
2530
What is the remainder when 1424356 is divided by 167?
13
What is the remainder when 16821041 is divided by 186?
131
What is the remainder when 42736 is divided by 6857?
1594
What is the remainder when 1722347 is divided by 3636?
2519
What is the remainder when 56173 is divided by 966?
145
What is the remainder when 325153482 is divided by 2714?
2712
Calculate the remainder when 9309150 is divided by 1850.
1800
What is the remainder when 281918 is divided by 281907?
11
Calculate the remainder when 20869432 is divided by 17.
11
Calculate the remainder when 31886 is divided by 6228.
746
Calculate the remainder when 99154232 is divided by 138.
128
Calculate the remainder when 67593347 is divided by 3829.
10
Calculate the remainder when 837146 is divided by 242.
68
Calculate the remainder when 2804640 is divided by 73806.
12
What is the remainder when 235313 is divided by 4058?
4007
What is the remainder when 305051 is divided by 101?
31
What is the remainder when 4095333 is divided by 2566?
2563
What is the remainder when 65022 is divided by 21560?
342
Calculate the remainder when 142071 is divided by 67807.
6457
Calculate the remainder when 125953863 is divided by 528.
519
Calculate the remainder when 36227983 is divided by 47.
7
Calculate the remainder when 182857 is divided by 182705.
152
Calculate the remainder when 14506445 is divided by 31.
26
What is the remainder when 55029688 is divided by 90?
88
Calculate the remainder when 138807 is divided by 4445.
1012
Calculate the remainder when 449581 is divided by 449547.
34
What is the remainder when 77004204 is divided by 6417017?
0
What is the remainder when 20001022 is divided by 240976?
14
Calculate the remainder when 64798158 is divided by 16.
14
Calculate the remainder when 599821 is divided by 8819.
129
What is the remainder when 1138973 is divided by 1329?
20
Calculate the remainder when 48601 is divided by 12048.
409
Calculate the remainder when 3584716 is divided by 1194893.
37
Calculate the remainder when 4809050 is divided by 2907.
872
Calculate the remainder when 7467491 is divided by 414859.
29
What is the remainder when 61214553 is divided by 53?
30
Calculate the remainder when 1009450 is divided by 122.
22
Calculate the remainder when 5517743 is divided by 13828.
371
Calculate the remainder when 35339177 is divided by 5392.
9
Calculate the remainder when 636655 is divided by 603.
490
What is the remainder when 29236 is divided by 2213?
467
What is the remainder when 3514336 is divided by 169?
150
What is the remainder when 155225 is divided by 2413?
793
What is the remainder when 2081125 is divided by 30161?
16
Calculate the remainder when 194314227 is divided by 296.
291
What is the remainder when 23655967 is divided by 3679?
3676
Calculate the remainder when 20253641 is divided by 6658.
5
What is the remainder when 39793227 is divided by 437288?
19
Calculate the remainder when 283768033 is divided by 18.
13
What is the remainder when 8797 is divided by 5973?
2824
What is the remainder when 89597034 is divided by 89597018?
16
What is the remainder when 1047026 is divided by 758?
228
What is the remainder when 310903 is divided by 448?
439
Calculate the remainder when 3325242 is divided by 77.
74
What is the remainder when 1496860 is divided by 249475?
10
What is the remainder when 3027501 is divided by 1357?
34
Calculate the remainder when 3367084 is divided by 336707.
14
What is the remainder when 856243 is divided by 1479?
1381
Calculate the remainder when 95792 is divided by 47893.
6
Calculate the remainder when 45615 is divided by 45481.
134
Calculate the remainder when 15686698 is divided by 490209.
10
What is the remainder when 934357 is divided by 25?
7
Calculate the remainder when 6697074 is divided by 1715.
1714
Calculate the remainder when 81616 is divided by 657.
148
What is the remainder when 15144724 is divided by 139?
118
What is the remainder when 101759943 is divided by 136?
119
What is the remainder when 863554997 is divided by 2500?
2497
What is the remainder when 462029 is divided by 772?
373
What is the remainder when 200024839 is divided by 20?
19
What is the remainder when 2036483 is divided by 405?
143
What is the remainder when 231432 is divided by 378?
96
Calculate the remainder when 131731 is divided by 577.
175
Calculate the remainder when 1162808 is divided by 64588.
224
What is the remainder when 13584658 is divided by 90?
58
What is the remainder when 1670513 is divided by 248?
233
What is the remainder when 2528224 is divided by 3586?
94
Calculate the remainder when 359147 is divided by 219.
206
What is the remainder when 735021 is divided by 97?
52
Calculate the remainder when 21277052 is divided by 1895.
1887
Calculate the remainder when 3319562 is divided by 1382.
1380
What is the remainder when 736094 is divided by 26288?
30
Calculate the remainder when 6236493 is divided by 1559122.
5
Calculate the remainder when 543989 is divided by 7157.
57
Calculate the remainder when 947818 is divided by 125.
68
What is the remainder when 595963 is divided by 297975?
13
What is the remainder when 13683785 is divided by 29?
19
Calculate the remainder when 4806746 is divided by 82873.
112
What is the remainder when 34092316 is divided by 503?
485
What is the remainder when 60047726 is divided by 689?
687
What is the remainder when 11017314 is divided by 5508653?
8
Calculate the remainder when 153021 is divided by 18106.
8173
What is the remainder when 275565834 is divided by 9553?
9549
What is the remainder when 2404334 is divided by 480865?
9
What is the remainder when 292221 is divided by 24328?
285
Calculate the remainder when 18169007 is divided by 624.
623
What is the remainder when 6417310 is divided by 1236?
1234
Calculate the remainder when 1792650 is divided by 945.
930
Calculate the remainder when 58734 is divided by 11.
5
Calculate the remainder when 3026492 is divided by 1056.
1052
What is the remainder when 550082 is divided by 6471?
47
What is the remainder when 2521837 is divided by 174?
55
What is the remainder when 56793 is divided by 18681?
750
Calculate the remainder when 10669730 is divided by 10669720.
10
Calculate the remainder when 89891 is divided by 89861.
30
Calculate the remainder when 182994271 is divided by 1762.
1761
Calculate the remainder when 719839 is divided by 71979.
49
Calculate the remainder when 360405 is divided by 282.
9
What is the remainder when 2825587 is divided by 2825554?
33
What is the remainder when 39035 is divided by 3109?
1727
Calculate the remainder when 480320 is divided by 209.
38
What is the remainder when 1251346 is divided by 12032?
18
What is the remainder when 2393152 is divided by 1728?
1600
What is the remainder when 11030245 is divided by 486?
475
What is the remainder when 884620 is divided by 80408?
132
What is the remainder when 396706 is divided by 18032?
2
Calculate the remainder when 3023957 is divided by 3023883.
74
Calculate the remainder when 4227431 is divided by 724.
719
Calculate the remainder when 699304 is divided by 12.
4
What is the remainder when 33985 is divided by 6522?
1375
What is the remainder when 7170426 is divided by 21?
18
Calculate the remainder when 5383769 is divided by 186.
185
Calculate the remainder when 187430 is divided by 8148.
26
Calculate the remainder when 4508676 is divided by 22.
18
What is the remainder when 80962470 is divided by 53?
41
Calculate the remainder when 141857 is divided by 650.
157
What is the remainder when 17757526 is divided by 72185?
16
Calculate the remainder when 19863834 is divided by 928.
922
Calculate the remainder when 52051999 is divided by 520.
519
Calculate the remainder when 44616470 is divided by 2201.
2200
Calculate the remainder when 12181 is divided by 3990.
211
Calculate the remainder when 26744 is divided by 580.
64
What is the remainder when 207752 is divided by 69008?
728
Calculate the remainder when 71479740 is divided by 50.
40
What is the remainder when 15864 is divided by 3395?
2284
What is the remainder when 764557 is divided by 1334?
175
Calculate the remainder when 480624 is divided by 480.
144
Calculate the remainder when 28207991 is divided by 21.
14
What is the remainde
|
{
"pile_set_name": "DM Mathematics"
}
|
i rounded to the nearest one hundred thousand?
-300000
Let q = 8702075.9 - 8702795.91098. Let m = 720 + q. What is m rounded to three decimal places?
-0.011
Suppose 275*x - 229458691 + 129370994 = 254912553. Round x to the nearest 100000.
1300000
Suppose 2*c = 2*u - 882278, c = -4*u - 317451 - 123703. Let f = c - -8841142. Round f to the nearest one million.
8000000
Let y = -2074260 - -6041260. Round y to the nearest 10000.
3970000
Let z = -144377 + 144365.00594. Let k = z + 12. Round k to three dps.
0.006
Let z = -91496.38521 - -91502.9. Let l = 0.14221 + z. What is l rounded to 1 decimal place?
6.7
Suppose -2*s = 5*s. Suppose 2*q + 71 = 5*q + 2*f, 3*q - 4*f - 83 = 0. Suppose s = 21*b - q*b - 116000. Round b to the nearest 10000.
-30000
Let u = 56.588 + -56.88241. Round u to 3 decimal places.
-0.294
Let i = 2730.16163 - 2711.799. Let j = i - -0.38437. Let r = j - -0.053. Round r to zero decimal places.
19
Let c = 15728 + -6717. Round c to the nearest 100.
9000
Let z be (1 + -1 + -7621)/(3/(-87)). Let i = 20009 - z. Round i to the nearest 100000.
-200000
Let o = -35 - -41.7. Let z = -6.6335302 - 0.0658498. Let d = z + o. Round d to 4 dps.
0.0006
Suppose -4*a - 4*y + 5*y + 3002120 = 0, 4*a + y - 3002128 = 0. Suppose 37*h = -3211031 + a. Round h to the nearest ten thousand.
-70000
Let z = -20199 + 8532. Let w = z + 17967. What is w rounded to the nearest 1000?
6000
Let f = -0.604 - 0.03. Let a = -0.584 - f. Round a to two decimal places.
0.05
Let q = -261.56 + 7.36. What is q rounded to the nearest 100?
-300
Let m = -0.008 - -1169.008. Let x = -14714.4 - -13445. Let d = x + m. What is d rounded to the nearest 10?
-100
Let n be -7 + (84090001 - -1 - -5). Round n to the nearest 1000000.
84000000
Let n = -39.9 - 573.1. Let f = 612.8996 + n. Let c = 0.1 + f. Round c to 4 decimal places.
-0.0004
Let h = 1644.8349 - -1.7651. Round h to the nearest 10.
1650
Let c = -296 + 436. Let h be (6/5)/((-14)/c). Let p(u) = 5088*u + 56. Let b be p(h). What is b rounded to the nearest ten thousand?
-60000
Let t = 124666 - -1081. Let x = 46253 + t. Round x to the nearest one hundred thousand.
200000
Let b = 319 + 492. Suppose 4*i + 1149 + b = 0. What is i rounded to the nearest one hundred?
-500
Let x = -41282 - -41281.61894. Round x to 2 dps.
-0.38
Let l = -5938029144 - -5938029321.99999595. Let u = -532 - -710. Let i = l - u. What is i rounded to 7 dps?
-0.0000041
Let u be (-2)/28*2 - 678/(-42). Let b be -5557 - -1 - -4 - u/(-4). Round b to the nearest one thousand.
-6000
Let f = -2766 - -2790. Let c = -2.7242634 - 21.2758596. Let b = f + c. Round b to five decimal places.
-0.00012
Let p = 50809447 + -50809447.369999164. Let h = -0.37 - p. What is h rounded to 7 decimal places?
-0.0000008
Suppose 0 = 2*t + 2*t - 12. Let j be t/(-4) - (-2111394)/(-8). Let l = 183925 + j. What is l rounded to the nearest 100000?
-100000
Let u = -9 + 13. Suppose 2*g - 12759724 = -4*l, 2*g + 13547927 = 3*l + 3978141. Suppose 29930 = -u*d + l. Round d to the nearest 100000.
800000
Let q = -32673.43 - -32809. Let w = 27.6 + 107.4. Let b = q - w. Round b to one dp.
0.6
Let u = -40901 - -40901.00099645. Round u to 4 dps.
0.001
Let o = -235613.128288 + -2.671712. Let k = o - -235617.79999973. Let t = 2 - k. What is t rounded to 7 decimal places?
0.0000003
Let j = -15.094 - -15.22231. Let p = 0.1344 - j. Round p to 4 dps.
0.0061
Let l = 7.63 + -7.62981. Round l to four dps.
0.0002
Let g = -29769 + 28216.6. What is g rounded to the nearest 10?
-1550
Let c = -13790.7 - -13204.97. What is c rounded to the nearest integer?
-586
Suppose -12 = 4*g + 164. Let b = -42 - g. Let y be (2 - -3198)*2500/b. Round y to the nearest one million.
4000000
Let n = -4901 + 4900.994391. Round n to 4 decimal places.
-0.0056
Let y = 58 - 35. Let x = y - -5. Let j = x - 28.0084. Round j to three dps.
-0.008
Let z = 364 - 362.392. Let s = z - 1.608001211. What is s rounded to 7 decimal places?
-0.0000012
Let w = 0.057 - 21.057. Let h = w - -20.932. Let v = h + 0.0679951. What is v rounded to 6 dps?
-0.000005
Let o = 838 - 831.515. Round o to the nearest integer.
6
Let d = -9.3 + 8.525. Let s = 0.8 + d. What is s rounded to 3 dps?
0.025
Let w = 106 - 106.0229. Let f = 0.02290317 + w. What is f rounded to six decimal places?
0.000003
Let n be 649402020/(-130) + (-30)/(-195). Round n to the nearest 100000.
-5000000
Suppose -15*c = 36421 + 1489379. What is c rounded to the nearest 1000?
-102000
Let c = 36547490.787858194 - 28310.787912194. Let h = c - 36519217. Let z = -37 - h. Round z to five dps.
0.00005
Let x = 312482.4636264 + -312488. Let k = 0.663588 - x. Let n = k + -6.2. Round n to 6 dps.
-0.000038
Let q = -10.6861479 - -0.0822579. Let d = q - -10.71. Let p = 0.107 - d. Round p to four decimal places.
0.0009
Let x = -39 + -166. Let r = x + 204.99999682. Round r to six decimal places.
-0.000003
Let k = 7956.458 - 7991. Let w = -305 + 269.8. Let i = w - k. Round i to one dp.
-0.7
Let x(g) = 29*g. Let c be x(0). Suppose 2*m - 5*m + 4*d - 58264 = c, -d + 58261 = -3*m. What is m rounded to the nearest ten thousand?
-20000
Let p = 0.234098 - -2.228162. Let r = -2.46 + p. What is r rounded to four dps?
0.0023
Let s = -88.03 + -0.97. Let a = s - -88.963. Let i = a + -0.383. What is i rounded to 1 dp?
-0.4
Let a = -127744207 + 127743629.0000897. Let l = -578 - a. What is l rounded to 5 dps?
-0.00009
Let n = 287.53261 - 0.08261. Round n to zero decimal places.
287
Let b = -71190 - -71188.93294. Round b to 2 decimal places.
-1.07
Let q = 12.29 + -12. Let t = -7380.7099975 - -7381. Let v = t - q. What is v rounded to 6 decimal places?
0.000003
Let g = 173981409 + -173984164.97286. Let n = g + 2756. What is n rounded to three dps?
0.027
Let i(a) = 380585*a**2 + 188*a - 2309. Let t be i(13). What is t rounded to the nearest one million?
64000000
Let u = -26623.99995429 - -26624. Round u to six dps.
0.000046
Let p = 2033.13 - 2144.9772. Let t = -0.2528 + p. Let f = t + 122. Round f to zero decimal places.
10
Suppose 1 = 8*l - 7. Let q be l + 3 + 3 + 0. Suppose q*d = 48992 + 7008. Round d to the nearest 10000.
10000
Let v be ((-4)/(-5))/((-216)/(-40) - 5). Let o(h) = -6*h - 177 + 173 + 264*h**3 + 4*h**v - 2*h**2. Let n be o(4). What is n rounded to the nearest one thousand?
17000
Suppose -14248*r + 23588 = -14246*r. Let x be (-100183)/(-3) + 2/(-6). Let u = x - r. Round u to the nearest one thousand.
22000
Let y = 78.238 + -123.16. Let u = -45 - y. Let c = u + -1.822. Round c to zero dps.
-2
Let t = 1.4598 + -1.46. Let u = t + 0.2472. Round u to two decimal places.
0.25
Let n be (49245 - -5)*12576/120. What is n rounded to the nearest 100000?
5200000
Let q = 113126 - 113125.42479. What is q rounded to 2 dps?
0.58
Let j = 2.62572544525 - 192.62572543425. Let p = j + 190. What is p rounded to seven dps?
0
Let y = 598.77 + -593. Let q = 6.789 - y. Let h = 1.05 - q. What is h rounded to 3 decimal places?
0.031
Let f = -831 - -584. Let i = f - -242.47. What is i rounded to 1 decimal place?
-4.5
Let s = -0.3895 + 0.38950065375. What is s rounded to 7 decimal places?
0.0000007
Let o = 65 - 64.66. Let v = 13.34 - o. Let w = 12.99999612 - v. Round w to seven dps.
-0.0000039
Suppose -5*l = -h - 2601082, 0 = 8*h - 4*h + 8. Let x = l + 448784. What is x rounded to the nearest 100000?
1000000
Let q = -0.47748 - -74.61148. Let l = q + 1.837. Let c = -76 + l. What is c rounded to two decimal places?
-0.03
Let q = 3661.611 - 3931.67. Let c = 271 + q. Round c to one decimal place.
0.9
Let m = 895.25 - 883. Let v = m + -12.254104. What is v rounded to four dps?
-0.0041
Let j be ((-3260)/(-978))/((-2)/(843*2)). What is j rounded to the nearest one hundred?
-2800
Let v = 1.01949 + -0.04573. Let w = 24.97236 - v. Let k = w - 24. Round k to three decimal places.
-0.001
Let o = 343.2 - 383. Let p = -39.799959 - o. What is p rounded to 4 decimal places?
0
Let o = -0.129282752 + 0.1292. What is o rounded to 5 decimal places?
-0.00008
Let c = 1175.8 + -905. Let v = 0.8 - c. Let r = v - -270.619. Round r to 1 decimal place.
0.6
Let h = -326 - -325.99038. What is h rounded to 3 decimal places?
-0.01
Let w = -97943.00000060507 + 97943. Round w to 7 decimal places.
-0.0000006
Let x(i) = 590*i + 275. Let h be x(91). What is h rounded to the nearest 100
|
{
"pile_set_name": "DM Mathematics"
}
|
e decimal place.
0.2
Let s = -616014 - -615985.80056. Let z = 28.2 + s. What is z rounded to three decimal places?
0.001
Let a(g) = 11*g**2 - 131*g + 3948. Let z be a(62). What is z rounded to the nearest 10000?
40000
Let x = 4.522 - -0.148. Let y = x - 4.669503. Round y to four decimal places.
0.0005
Let o(f) = -f**3 + 5*f**2 + 3*f - 3. Let a be o(4). Let x = a + -27. Let b be (-10799)/(-4) - x/8. Round b to the nearest 1000.
3000
Let j = 195.882298 - -1.096502. Let z = j - 197. What is z rounded to three decimal places?
-0.021
Let d = -348805870 - -348805828.4000213. Let r = 5.06 + 36.54. Let o = r + d. Round o to 5 dps.
0.00002
Let l = 41701 + -80139. Let a = 102438 + l. Round a to the nearest 100000.
100000
Let t = 53847.051384 + -0.051384. Let r = -53847.390051 + t. Let b = 0.39 + r. Round b to five dps.
-0.00005
Suppose -3*h = 4*q + 7876660, 164*h + 5*q - 10502172 = 168*h. Let s = 1345889 - 2181437. Let f = h - s. What is f rounded to the nearest 100000?
-1800000
Let i = -0.2685 - -0.4345. What is i rounded to two decimal places?
0.17
Let w = 307.829 - 308. Let s = -881 - -880.8006. Let l = s - w. Round l to 3 decimal places.
-0.028
Let i(a) = -141714*a + 856. Let u be i(4). Round u to the nearest ten thousand.
-570000
Let n = 152873 + -152874.21609. Let q = n - -1.242. What is q rounded to three decimal places?
0.026
Let y = -3839 - -6168. Suppose 5*f - 3109 = -4*o - 0*o, -3*o - f = -y. What is o rounded to the nearest one hundred?
800
Let d = 5862.7 + -5738.506. Let r = -124 + d. Round r to 2 dps.
0.19
Let l = -588 + 654.2. Let h = 18.8 + l. Let i = 85.0000043 - h. What is i rounded to six decimal places?
0.000004
Let a = -0.1125 + -0.4075. Let r = -3 + 3. Let x = r + a. Round x to one dp.
-0.5
Suppose -3*q = 2*y - 3461794 + 19959809, 3*y - 2*q = -24746990. What is y rounded to the nearest one million?
-8000000
Let y(v) be the third derivative of -263003*v**5/60 + v**3/2 + 3*v**2 - 3*v. Let f be y(1). What is f rounded to the nearest 100000?
-300000
Let p be (3/(-4))/(1/20). Let m be (p/(-9) - 1) + 10972538/(-57). Round m to the nearest ten thousand.
-190000
Let q = 117.7507 - 80.75818. Let b = -37 + q. Round b to three dps.
-0.007
Let f = 6903.9 + 1444.7. Let a = 8232.6224 - f. Let m = a - -116. What is m rounded to 3 decimal places?
0.022
Let g(t) = -338670*t - 46. Let h be g(-9). Let q = h + -147984. Round q to the nearest one hundred thousand.
2900000
Let h = 870.1 - 819. Let u = -64.89 - 0.11. Let b = h + u. Round b to the nearest integer.
-14
Let n be (-4 - 130429726/18) + ((-60)/12)/45. Round n to the nearest 10000.
-7250000
Let u = -8540.9942 + -0.0058. Let g = u + 8541.3559. Round g to one dp.
0.4
Let q = -2564.018347 + 2564. Round q to 3 dps.
-0.018
Let x(j) = 15179*j - 112. Let f = 511 + -513. Let b be x(f). What is b rounded to the nearest 10000?
-30000
Let v = -532 + 541.16. Let w = v + -1.96. Round w to the nearest ten.
10
Let u be (-2 - 0)/(1/36). Let p be (450/u)/(2/8). Let s be (-6538 + -2)*p/15. What is s rounded to the nearest 1000?
11000
Let f = 190 - 92. Let x = f - 98.00626. Round x to 3 decimal places.
-0.006
Let k(b) = 392681*b**3 + b**2. Let m be k(-1). Suppose 1480178 + 850544 = -4*o - 2*s, o = -5*s - 582685. Let g = m - o. Round g to the nearest 100000.
200000
Let m(k) = -82*k + 11. Let p be m(2). Let g be (-5)/(75/p) - (-8)/10. Suppose 0 = -4*z + 20, -g = -4*s + 5*z + 8. Round s to the nearest integer.
11
Suppose -6*n - 2485 = -10573. Let r = n - 514. What is r rounded to the nearest 100?
800
Let o = 8.0702 - 6.818. What is o rounded to two dps?
1.25
Let q = 156 - 108. Let i = q - -1811. Suppose i = -4*a + 17*a. Round a to the nearest 10.
140
Let d = 9648 + -9648.017293. What is d rounded to 3 decimal places?
-0.017
Let y = -420.2074656538 - 0.7925722462. Let d = -421 - y. Round d to 5 dps.
0.00004
Let f = 102890 - 103023.177. What is f rounded to zero dps?
-133
Let y = -45675.9 - -37026. Round y to the nearest one thousand.
-9000
Let h = 171911220 - -6108780. Round h to the nearest 1000000.
178000000
Let o = 624106 - 358506. What is o rounded to the nearest ten thousand?
270000
Let z = 2954 + -3009.74. Let r = z + 56. Let x = r - 1.4. What is x rounded to 1 decimal place?
-1.1
Let d = -26.7 - -26.337. Let c = d - -0.003. Let o = -0.3788 - c. What is o rounded to 2 decimal places?
-0.02
Let t = 0.88724809 + -0.21724832. Let u = 0.31 + -0.98. Let x = t + u. What is x rounded to 7 dps?
-0.0000002
Let k = -315.99986965 + 316. What is k rounded to 6 decimal places?
0.00013
Let q = 401 + -227. Let j = -191.029 + 1.829. Let k = j + q. Round k to the nearest integer.
-15
Let f = 33 - 31. Suppose a + 26 = 3*q - 4*a, -24 = -f*q + 5*a. Suppose h - 9500 = q*h. Round h to the nearest one thousand.
-10000
Let r = -389776496 + -3434672. Let p = r + 393211205.9999882. Let s = 38 - p. What is s rounded to six dps?
0.000012
Suppose -18*a + 37*a = 0. Let w(g) = 5*g + 50800000. Let q be w(a). Round q to the nearest one million.
51000000
Let d = 736.11 + -741.8799. Round d to 2 decimal places.
-5.77
Suppose -41*q - 23*q + 39*q = 72382500. Round q to the nearest one hundred thousand.
-2900000
Let q = 14061 + -14301.05. What is q rounded to the nearest integer?
-240
Let i be (-2 - (-28)/8)/(3/(-52)). Let p = 30 + i. Suppose -20 = -p*x, 0 = -4*u + 2*x - 511 - 171. What is u rounded to the nearest ten?
-170
Let q(s) = 399*s**3 - 18*s**2 - 45*s - 226. Let c be q(-22). Round c to the nearest one hundred thousand.
-4300000
Suppose 69*g - 94*g + 16601025 = 0. Let l = -1111041 + g. What is l rounded to the nearest 100000?
-400000
Let a = 621 - 366. Let x = a - 254.646. What is x rounded to zero decimal places?
0
Let z = 2.3924 + -3.03981. What is z rounded to 1 dp?
-0.6
Let y = -8.23 + 4.9905. Let i = y + -224.7696. Let q = -228 - i. Round q to three decimal places.
0.009
Suppose -2956814 - 1714186 = 15*g. What is g rounded to the nearest 10000?
-310000
Let d = 121.8 + 840.1. What is d rounded to the nearest one hundred?
1000
Let n = 5390.295 - 5375. Round n to the nearest ten.
20
Let r = 0.19152 - 0.14242. Round r to two decimal places.
0.05
Let l = -33126.0296 + 33155. Let o = -0.0704 + l. Round o to the nearest ten.
30
Let q = -2795.212 - -27.012. What is q rounded to the nearest 1000?
-3000
Let t be ((-12)/20)/((-18)/584880). What is t rounded to the nearest one thousand?
19000
Let f = 95.705 - 170.67. Round f to 0 dps.
-75
Let x = 35450 + -35449.99926941. Round x to four dps.
0.0007
Suppose -15*d + 11*d + 2564 = 0. Suppose 4*l + 2*b = 478, 5*l - b + 54 = d. Suppose 0*k - l = -2*k. Round k to the nearest 10.
60
Let s = 6970.0000012513 + -6970. What is s rounded to 7 decimal places?
0.0000013
Let l = -7166.94446 - -7167. What is l rounded to three decimal places?
0.056
Let t = 0.15655 + 114.32745. Let q = 18.489 - t. Let u = 96 + q. Round u to 2 dps.
0.01
Let g = -263 - -326. Let r = g - 34.6. Round r to the nearest integer.
28
Let u be (9 + -24 - 1883885)*2/(-1). Round u to the nearest one hundred thousand.
3800000
Let a = 11381 + -11381.12778. Let v = a - 35.07722. Let x = -35 - v. Round x to two dps.
0.21
Let m = 751402633 + -409574190. Let y = 341828443.153999381 - m. Let o = 0.154 - y. Round o to seven dps.
0.0000006
Let a = -41648 - -41647.938549. Round a to 2 decimal places.
-0.06
Let k = -4793931 - -4794161.9827. Let b = -231 + k. Let j = b + 5.3273. Round j to 1 decimal place.
5.3
Let y = 4.773 + -4.58. Let p = 0.2075 - y. What is p rounded to two decimal places?
0.01
Let s be 8/(80/(-15))*1154. Let a be s + -3 + -2 + 8. Let i = a - -3328. What is i rounded to the nearest 1000?
2000
Let p = -2608253.90000192 + 2608256. Let a = -4.75 + 2.65. Let h = p + a. Round h to seven dps.
-0.0000019
Suppose 91154 = 2*p - 11834. Round p to the nearest one hundred.
51500
Let d = 27342.9866 - 27335. What is d rounded to 0 decimal places?
8
Let q = 1346609 - 801276. Suppose -j = 5*t + 216025, -5*t - q = 5*j + 534692. Round j to the nearest ten thousand.
-220000
Let c = -5828 + 5775.26. Let b = c - -0.54. Round b to the nearest ten.
-50
Let u = 1084.35 + -190.05. What is u rounded to the nearest ten?
890
Let v = -273 + -3. Let h = v + 272.88. Round h to the nearest integer.
-3
Let f = -25.5 - -25.403. Let b = -0.09948 - f. Round b to 4
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest integer?
31688
What is 244963320 to the power of 1/4, to the nearest integer?
125
What is the sixth root of 144384115 to the nearest integer?
23
What is 663088876 to the power of 1/7, to the nearest integer?
18
What is 1092067234 to the power of 1/3, to the nearest integer?
1030
What is the fifth root of 407501490 to the nearest integer?
53
What is the third root of 109608712 to the nearest integer?
479
What is the square root of 382906966 to the nearest integer?
19568
What is the third root of 25012858 to the nearest integer?
292
What is 5440369 to the power of 1/10, to the nearest integer?
5
What is the eighth root of 1521191865 to the nearest integer?
14
What is the sixth root of 8540564761 to the nearest integer?
45
What is 1618430772 to the power of 1/6, to the nearest integer?
34
What is 168439404 to the power of 1/5, to the nearest integer?
44
What is 1490022484 to the power of 1/2, to the nearest integer?
38601
What is the fifth root of 25728448 to the nearest integer?
30
What is 14522385 to the power of 1/3, to the nearest integer?
244
What is the third root of 77569771 to the nearest integer?
426
What is 98242714 to the power of 1/9, to the nearest integer?
8
What is the eighth root of 215238010 to the nearest integer?
11
What is 6322855934 to the power of 1/2, to the nearest integer?
79516
What is the square root of 322151462 to the nearest integer?
17949
What is the third root of 133391207 to the nearest integer?
511
What is 130652916 to the power of 1/2, to the nearest integer?
11430
What is the square root of 3044794428 to the nearest integer?
55180
What is 6160682146 to the power of 1/5, to the nearest integer?
91
What is 538675503 to the power of 1/8, to the nearest integer?
12
What is 70109636 to the power of 1/2, to the nearest integer?
8373
What is 151397090 to the power of 1/2, to the nearest integer?
12304
What is the third root of 7468587188 to the nearest integer?
1955
What is 170166909 to the power of 1/6, to the nearest integer?
24
What is 751763056 to the power of 1/7, to the nearest integer?
19
What is the square root of 34040496 to the nearest integer?
5834
What is the third root of 4822550720 to the nearest integer?
1690
What is the square root of 231397984 to the nearest integer?
15212
What is the seventh root of 1281154727 to the nearest integer?
20
What is the fourth root of 1854688714 to the nearest integer?
208
What is the eighth root of 45147161 to the nearest integer?
9
What is the sixth root of 2176954513 to the nearest integer?
36
What is the cube root of 113095443 to the nearest integer?
484
What is the third root of 35442023 to the nearest integer?
328
What is the cube root of 5213217388 to the nearest integer?
1734
What is the third root of 77498575 to the nearest integer?
426
What is the ninth root of 194286251 to the nearest integer?
8
What is 48341195 to the power of 1/3, to the nearest integer?
364
What is the square root of 617331087 to the nearest integer?
24846
What is the third root of 121309673 to the nearest integer?
495
What is the eighth root of 316786321 to the nearest integer?
12
What is 117346869 to the power of 1/7, to the nearest integer?
14
What is the eighth root of 273932508 to the nearest integer?
11
What is 73920564 to the power of 1/2, to the nearest integer?
8598
What is the ninth root of 262340509 to the nearest integer?
9
What is 49897509 to the power of 1/2, to the nearest integer?
7064
What is the third root of 715538179 to the nearest integer?
894
What is the square root of 40818808 to the nearest integer?
6389
What is the eighth root of 5846081 to the nearest integer?
7
What is the eighth root of 255144032 to the nearest integer?
11
What is the square root of 31698252 to the nearest integer?
5630
What is the square root of 764363034 to the nearest integer?
27647
What is 1567951208 to the power of 1/10, to the nearest integer?
8
What is 75411011 to the power of 1/2, to the nearest integer?
8684
What is 921967719 to the power of 1/2, to the nearest integer?
30364
What is the cube root of 146764656 to the nearest integer?
527
What is the square root of 93424305 to the nearest integer?
9666
What is 352113715 to the power of 1/3, to the nearest integer?
706
What is the fourth root of 35538118 to the nearest integer?
77
What is the fourth root of 18353830 to the nearest integer?
65
What is the third root of 124014400 to the nearest integer?
499
What is the square root of 182071871 to the nearest integer?
13493
What is the cube root of 302681326 to the nearest integer?
671
What is 764383392 to the power of 1/6, to the nearest integer?
30
What is 861365822 to the power of 1/5, to the nearest integer?
61
What is 111462228 to the power of 1/3, to the nearest integer?
481
What is 25030585 to the power of 1/3, to the nearest integer?
293
What is the cube root of 40178832 to the nearest integer?
343
What is the third root of 2501604068 to the nearest integer?
1357
What is 60844656 to the power of 1/3, to the nearest integer?
393
What is the fifth root of 7058370425 to the nearest integer?
93
What is 1291891580 to the power of 1/3, to the nearest integer?
1089
What is 113245392 to the power of 1/3, to the nearest integer?
484
What is the fifth root of 77641911 to the nearest integer?
38
What is the fifth root of 30196733 to the nearest integer?
31
What is the eighth root of 41932355 to the nearest integer?
9
What is 707847041 to the power of 1/2, to the nearest integer?
26605
What is the sixth root of 246563975 to the nearest integer?
25
What is 506439264 to the power of 1/3, to the nearest integer?
797
What is the fifth root of 5555799 to the nearest integer?
22
What is the fourth root of 14861214 to the nearest integer?
62
What is the third root of 1839784217 to the nearest integer?
1225
What is the square root of 25993940 to the nearest integer?
5098
What is 378617205 to the power of 1/5, to the nearest integer?
52
What is 175398717 to the power of 1/2, to the nearest integer?
13244
What is the third root of 6074619678 to the nearest integer?
1825
What is the third root of 127248201 to the nearest integer?
503
What is the seventh root of 5829278303 to the nearest integer?
25
What is the square root of 2028587827 to the nearest integer?
45040
What is 1207091534 to the power of 1/6, to the nearest integer?
33
What is the fourth root of 1039388154 to the nearest integer?
180
What is 2775973482 to the power of 1/2, to the nearest integer?
52688
What is the ninth root of 1546427406 to the nearest integer?
10
What is the square root of 192769527 to the nearest integer?
13884
What is 223285094 to the power of 1/2, to the nearest integer?
14943
What is the square root of 5956786270 to the nearest integer?
77180
What is the third root of 363691295 to the nearest integer?
714
What is the square root of 59694072 to the nearest integer?
7726
What is the cube root of 24634570 to the nearest integer?
291
What is the square root of 2806573124 to the nearest integer?
52977
What is the cube root of 138332126 to the nearest integer?
517
What is 412451607 to the power of 1/3, to the nearest integer?
744
What is 978504475 to the power of 1/6, to the nearest integer?
32
What is the fifth root of 155522338 to the nearest integer?
43
What is the ninth root of 193779362 to the nearest integer?
8
What is the square root of 5019773437 to the nearest integer?
70850
What is 9495595 to the power of 1/2, to the nearest integer?
3081
What is 25655261 to the power of 1/2, to the nearest integer?
5065
What is 100529166 to the power of 1/3, to the nearest integer?
465
What is the cube root of 1470224306 to the nearest integer?
1137
What is 40995074 to the power of 1/2, to the nearest integer?
6403
What is 1279683063 to the power of 1/2, to the nearest integer?
35773
What is 451930527 to the power of 1/3, to the nearest integer?
767
What is 1416931428 to the power of 1/3, to the nearest integer?
1123
What is 53553752 to the power of 1/10, to the nearest integer?
6
What is the tenth root of 870716622 to the nearest integer?
8
What is the seventh root of 2613635379 to the nearest integer?
22
What is 88875720 to the power of 1/2, to the nearest integer?
9427
What is the seventh root of 17081514 to the
|
{
"pile_set_name": "DM Mathematics"
}
|
picking 1 r and 1 e.
7/13
Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeeeeeeeeeeevee.
4/5
What is prob of picking 1 c, 1 v, and 2 f when four letters picked without replacement from czvfszfzzz?
1/210
Three letters picked without replacement from ononnbo. What is prob of picking 1 o, 1 n, and 1 b?
9/35
Three letters picked without replacement from pvpvrrvvrbvpvvvbvrpv. What is prob of picking 1 p and 2 v?
3/19
Calculate prob of picking 2 b and 1 p when three letters picked without replacement from {p: 6, a: 1, i: 4, q: 2, b: 2}.
6/455
What is prob of picking 2 e and 1 l when three letters picked without replacement from {h: 2, l: 1, e: 4, v: 1, k: 3}?
2/55
What is prob of picking 2 m and 1 d when three letters picked without replacement from {z: 2, d: 2, m: 2}?
1/10
Three letters picked without replacement from {f: 1, w: 2, l: 2, x: 1}. Give prob of picking 2 w and 1 x.
1/20
Four letters picked without replacement from vvyvvyvvvvvyvy. What is prob of picking 3 y and 1 v?
40/1001
Calculate prob of picking 1 e, 2 u, and 1 a when four letters picked without replacement from eaxeuxeuuxixex.
12/1001
Two letters picked without replacement from fffffrrff. What is prob of picking 2 f?
7/12
What is prob of picking 2 z and 1 f when three letters picked without replacement from ddfffzffzffzzfz?
16/91
Two letters picked without replacement from {x: 1, w: 7, o: 3, i: 3}. What is prob of picking 2 o?
3/91
What is prob of picking 3 b and 1 a when four letters picked without replacement from {a: 2, n: 2, b: 10}?
240/1001
What is prob of picking 1 k and 1 t when two letters picked without replacement from gggckgtcgc?
1/45
What is prob of picking 2 w when two letters picked without replacement from wwlr?
1/6
Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {t: 4, g: 6}.
3/10
Two letters picked without replacement from {p: 2, f: 8, s: 2, z: 7}. What is prob of picking 2 p?
1/171
What is prob of picking 4 u when four letters picked without replacement from {u: 4, i: 10}?
1/1001
Three letters picked without replacement from {e: 3, y: 3, v: 2, a: 1, g: 1}. Give prob of picking 2 y and 1 e.
3/40
Three letters picked without replacement from mzmrmmqzzm. What is prob of picking 1 r and 2 z?
1/40
Calculate prob of picking 1 a, 1 e, 1 i, and 1 x when four letters picked without replacement from xexaillliixclececexl.
16/1615
Three letters picked without replacement from {o: 4}. Give prob of picking 3 o.
1
Two letters picked without replacement from {h: 6}. Give prob of picking 2 h.
1
Two letters picked without replacement from {h: 5, s: 2, p: 6}. Give prob of picking 2 p.
5/26
Two letters picked without replacement from bvvuabbvbbvvbuubv. Give prob of picking 1 v and 1 a.
3/68
Four letters picked without replacement from aooas. Give prob of picking 2 a and 2 o.
1/5
Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {n: 4, u: 2, m: 2, k: 3, z: 1, t: 2}.
4/91
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {s: 5, z: 3, r: 5, l: 5, x: 1}.
5/171
Four letters picked without replacement from xqxuqxxxxxqxxq. What is prob of picking 4 x?
18/143
What is prob of picking 2 i and 1 b when three letters picked without replacement from bllbiblbi?
1/21
What is prob of picking 2 u when two letters picked without replacement from euuueueeuuezueezeeu?
28/171
Three letters picked without replacement from {e: 12, k: 3, l: 3}. Give prob of picking 3 k.
1/816
Calculate prob of picking 1 b and 1 q when two letters picked without replacement from qhlrlchlbqhh.
1/33
What is prob of picking 1 n, 1 y, and 1 i when three letters picked without replacement from mniiynmmnymvmmmyy?
3/85
Two letters picked without replacement from {p: 2, c: 2}. Give prob of picking 2 c.
1/6
What is prob of picking 1 e and 1 x when two letters picked without replacement from {c: 3, h: 2, n: 1, p: 1, e: 3, x: 3}?
3/26
Three letters picked without replacement from ntjrajntntttjjtt. What is prob of picking 1 r and 2 t?
3/80
What is prob of picking 4 d when four letters picked without replacement from uzuzuzddzdzdzu?
1/1001
Two letters picked without replacement from gezeg. Give prob of picking 2 g.
1/10
Calculate prob of picking 1 v, 1 o, and 1 i when three letters picked without replacement from uiiiouvvioouv.
18/143
Two letters picked without replacement from hhhtthtvvt. Give prob of picking 2 h.
2/15
Two letters picked without replacement from {j: 2, g: 3, n: 3, e: 2, b: 4, c: 1}. What is prob of picking 1 j and 1 e?
4/105
Four letters picked without replacement from {o: 1, m: 2, z: 4, k: 3}. Give prob of picking 1 o, 2 z, and 1 m.
2/35
Calculate prob of picking 2 h and 1 i when three letters picked without replacement from {y: 5, h: 12, i: 2}.
44/323
Four letters picked without replacement from {k: 2, e: 6, a: 1, p: 1, t: 9}. Give prob of picking 1 e and 3 t.
42/323
Three letters picked without replacement from waawaawa. What is prob of picking 1 a and 2 w?
15/56
Two letters picked without replacement from {c: 2, z: 1, a: 1, p: 5, r: 1}. What is prob of picking 1 p and 1 c?
2/9
What is prob of picking 1 f, 1 v, and 2 m when four letters picked without replacement from {e: 1, l: 1, f: 1, x: 5, m: 4, v: 1}?
6/715
What is prob of picking 3 g and 1 k when four letters picked without replacement from aaaagaaagaaaaakaaakg?
2/4845
Two letters picked without replacement from {o: 1, v: 1, k: 1}. Give prob of picking 1 v and 1 o.
1/3
Calculate prob of picking 2 h when two letters picked without replacement from hfynhfnnyyny.
1/66
Four letters picked without replacement from cclcgxxc. What is prob of picking 1 l, 2 x, and 1 g?
1/70
Three letters picked without replacement from {t: 2, b: 2, h: 9, o: 1, r: 3, s: 3}. Give prob of picking 2 t and 1 b.
1/570
What is prob of picking 4 w when four letters picked without replacement from {w: 7, e: 3}?
1/6
Two letters picked without replacement from {f: 19, r: 1}. What is prob of picking 1 r and 1 f?
1/10
Calculate prob of picking 1 u and 1 z when two letters picked without replacement from yzzzzzuzzzuzzz.
22/91
Four letters picked without replacement from qhhfqqkqhqqqhqr. What is prob of picking 1 h, 1 q, 1 f, and 1 k?
32/1365
Calculate prob of picking 2 k when two letters picked without replacement from krkkkr.
2/5
Four letters picked without replacement from cccjnjnjjjjjjjcjccj. What is prob of picking 4 j?
55/646
What is prob of picking 2 t when two letters picked without replacement from {z: 1, x: 1, t: 9}?
36/55
What is prob of picking 1 r and 1 m when two letters picked without replacement from mdrmxrrrxtrxmdmrt?
3/17
Three letters picked without replacement from rdrddddd. What is prob of picking 1 r and 2 d?
15/28
Two letters picked without replacement from {y: 11, v: 1, l: 1, u: 2}. What is prob of picking 2 u?
1/105
Two letters picked without replacement from {h: 14, i: 4}. Give prob of picking 2 h.
91/153
What is prob of picking 2 e when two letters picked without replacement from eepeeepepe?
7/15
Two letters picked without replacement from {e: 3, z: 1, c: 1}. Give prob of picking 2 e.
3/10
Three letters picked without replacement from {p: 2, f: 3, z: 4, j: 9}. Give prob of picking 2 f and 1 p.
1/136
Four letters picked without replacement from {m: 2, a: 6}. What is prob of picking 3 a and 1 m?
4/7
Calculate prob of picking 1 v, 2 g, and 1 d when four letters picked without replacement from kdvdgvggkgdkvkkd.
18/455
Calculate prob of picking 3 s when three letters picked without replacement from {l: 3, s: 11}.
165/364
Two letters picked without replacement from {c: 6, v: 2, w: 3, e: 2}. Give prob of picking 2 c.
5/26
Calculate prob of picking 1 w and 1 y when two letters picked without replacement from wwyyywwyywyyw.
7/13
Two letters picked without replacement from {k: 1, m: 4, u: 2, l: 4, y: 5}. What is prob of picking 1 l and 1 u?
1/15
Two letters picked without replacement from {w: 6, c: 3, k: 1, u: 7}. Give prob of picking 1 w and 1 c.
9/68
Three letters picked without replacement from mmvrmmurhvmhu. What is prob of picking 1 h and 2 r?
1/143
Four letters picked without replacement from {v: 6}. What is prob of picki
|
{
"pile_set_name": "DM Mathematics"
}
|
0.01, 0.2, 17, 2/21 in increasing order.
-2/5, 0.01, 2/21, 0.2, 17
Put 0.4, 76, -0.3, -1/4 in descending order.
76, 0.4, -1/4, -0.3
Put 0, -3, 24, -49 in descending order.
24, 0, -3, -49
Put -5, -1, -1144, 1 in increasing order.
-1144, -5, -1, 1
Put -0.2, 5, -3, 2 in decreasing order.
5, 2, -0.2, -3
Sort 0, -11, -2 in increasing order.
-11, -2, 0
Sort 4, -2, -388 in decreasing order.
4, -2, -388
Sort -4, -86, 3 in descending order.
3, -4, -86
Sort 122, 3, 1 in ascending order.
1, 3, 122
Sort 3/80, 26, -4, -3 in decreasing order.
26, 3/80, -3, -4
Put 2, 5, 55 in descending order.
55, 5, 2
Put 0.5, 3, -3/2, 2/17 in decreasing order.
3, 0.5, 2/17, -3/2
Sort 0.5, -8, -133.
-133, -8, 0.5
Put -92, 2, 2/5 in ascending order.
-92, 2/5, 2
Put 90, -3, -2, -5 in descending order.
90, -2, -3, -5
Put 1, -46, -2/11 in ascending order.
-46, -2/11, 1
Put 0, -4, 4 in descending order.
4, 0, -4
Sort -1, 4, -0.026.
-1, -0.026, 4
Sort 5, -2, 3, 0, 1 in ascending order.
-2, 0, 1, 3, 5
Put -0.16, -0.2, -3 in descending order.
-0.16, -0.2, -3
Put 0.207, 5, -1.4 in ascending order.
-1.4, 0.207, 5
Sort 2, 41, 5.
2, 5, 41
Sort -1, -3, 3, -0.4, 1.69 in decreasing order.
3, 1.69, -0.4, -1, -3
Put 47, 0, 1, -41 in decreasing order.
47, 1, 0, -41
Sort 5, -5, 37, 17, -4 in decreasing order.
37, 17, 5, -4, -5
Sort -3, -1, -746, 4.
-746, -3, -1, 4
Sort 46, -7, 6 in descending order.
46, 6, -7
Put 0, 1/7, 33, -1 in ascending order.
-1, 0, 1/7, 33
Sort -3, 3, -6.
-6, -3, 3
Put 0, 242, -2, 1 in decreasing order.
242, 1, 0, -2
Sort 0.1, 1, -2, -361 in descending order.
1, 0.1, -2, -361
Sort -3, 0, 83, 1, -2.
-3, -2, 0, 1, 83
Sort -2/45, 1/6, -3/7 in decreasing order.
1/6, -2/45, -3/7
Sort 2/3, -19, -3/5.
-19, -3/5, 2/3
Sort 3, 2, 1, -3.
-3, 1, 2, 3
Put 4, 0.4, 698 in descending order.
698, 4, 0.4
Put 0.3, 4/7, 5/2, 1, -5 in ascending order.
-5, 0.3, 4/7, 1, 5/2
Sort -3, 2, 3, -2.
-3, -2, 2, 3
Sort 5, -5, -10, -5/4, 1 in descending order.
5, 1, -5/4, -5, -10
Put -20, -0.3, 4, 3/22 in increasing order.
-20, -0.3, 3/22, 4
Sort -42, -0.2, 0, -2/287.
-42, -0.2, -2/287, 0
Sort -4, -1, 0 in decreasing order.
0, -1, -4
Sort 5, 3, -2, 12 in decreasing order.
12, 5, 3, -2
Put -8, -98, 2 in descending order.
2, -8, -98
Sort 2/9, 4, -9 in descending order.
4, 2/9, -9
Sort 3, -70, -3.
-70, -3, 3
Sort 5, 4, 31, 3, -1 in increasing order.
-1, 3, 4, 5, 31
Put -4, -4/7, 2/19 in descending order.
2/19, -4/7, -4
Put -3, -4, 34, -2 in decreasing order.
34, -2, -3, -4
Put -61, 5, 4 in descending order.
5, 4, -61
Sort 1/5, 0.4, 1/131, 2 in descending order.
2, 0.4, 1/5, 1/131
Sort 6, 5, -4 in descending order.
6, 5, -4
Put 13, -1, 6 in increasing order.
-1, 6, 13
Put -0.5, 0.2, -0.02, 6, -2 in decreasing order.
6, 0.2, -0.02, -0.5, -2
Put -0.03, -0.4, 3, 5 in decreasing order.
5, 3, -0.03, -0.4
Put -6/5, 10, 3, 4 in descending order.
10, 4, 3, -6/5
Sort -2/109, -22, -3 in increasing order.
-22, -3, -2/109
Sort 0.5, 8/17, 0.1, 12.
0.1, 8/17, 0.5, 12
Put 4, -3, 12, -5, 1 in decreasing order.
12, 4, 1, -3, -5
Put -2, -4, 2, -35 in descending order.
2, -2, -4, -35
Sort -3, -413, 4, -1, 2.
-413, -3, -1, 2, 4
Put -2/9, 4, 3, 0.2, 0.5 in decreasing order.
4, 3, 0.5, 0.2, -2/9
Sort -3, 535, 0.1, 0.4, -0.1 in decreasing order.
535, 0.4, 0.1, -0.1, -3
Put -3, 9, 3, 4 in descending order.
9, 4, 3, -3
Sort 2, 5, -2 in descending order.
5, 2, -2
Sort -0.4, -0.2, 0.5, 205, -4/7 in increasing order.
-4/7, -0.4, -0.2, 0.5, 205
Sort 9, 70, 3 in ascending order.
3, 9, 70
Sort 7, -4, 3, 4 in decreasing order.
7, 4, 3, -4
Put -1, -9, 0.03 in ascending order.
-9, -1, 0.03
Sort 1, -7, -43, -12 in ascending order.
-43, -12, -7, 1
Put -7, -0.2, -3, 0.081 in descending order.
0.081, -0.2, -3, -7
Put 109, 5, 16 in ascending order.
5, 16, 109
Sort -1, 77, 2, -3 in increasing order.
-3, -1, 2, 77
Put 17, 8, -5 in ascending order.
-5, 8, 17
Put 58, 2, -123 in decreasing order.
58, 2, -123
Put -2/15, 1, 0.2, 3 in decreasing order.
3, 1, 0.2, -2/15
Sort -3, -4, -0.3, -0.1, -2/13.
-4, -3, -0.3, -2/13, -0.1
Sort -1/3, 1.1, 4.
-1/3, 1.1, 4
Sort 2/5, 177, -0.1, 4, -0.4.
-0.4, -0.1, 2/5, 4, 177
Sort 0.32, 2, -3, -1/4 in decreasing order.
2, 0.32, -1/4, -3
Put 5, -2, 2, -82 in decreasing order.
5, 2, -2, -82
Sort 10, 0, 22.
0, 10, 22
Sort -0.34, -0.5, -4, 5 in descending order.
5, -0.34, -0.5, -4
Sort -14, 1/13, -4.
-14, -4, 1/13
Sort -13, 116, 4.
-13, 4, 116
Put -5, -9, 19 in decreasing order.
19, -5, -9
Sort -224, 3, -1 in descending order.
3, -1, -224
Put 0, 1, -4, 4 in descending order.
4, 1, 0, -4
Put 4, -5, 1, -455, -1 in decreasing order.
4, 1, -1, -5, -455
Sort -10, 0.2, -0.4, 0.04, 0.5.
-10, -0.4, 0.04, 0.2, 0.5
Put -2/5, 3, 5/6, 3/5 in decreasing order.
3, 5/6, 3/5, -2/5
Sort 2/13, 0.1, 2.4, -5 in descending order.
2.4, 2/13, 0.1, -5
Sort -2, 1, -57 in decreasing order.
1, -2, -57
Put 5, 4, -10 in descending order.
5, 4, -10
Sort 1/7, 1/2, -3, 4 in decreasing order.
4, 1/2, 1/7, -3
Put -9, -4, -101 in descending order.
-4, -9, -101
Put 11, -3, -4, 1/4, -2 in descending order.
11, 1/4, -2, -3, -4
Sort 203, 0, 3, 1 in ascending order.
0, 1, 3, 203
Sort -15, 5, -1, -2 in descending order.
5, -1, -2, -15
Sort 5, 85, -3 in increasing order.
-3, 5, 85
Sort -2, 8, 4, -4.
-4, -2, 4, 8
Put -4, 1/2, 42, -3 in ascending order.
-4, -3, 1/2, 42
Put 2/11, -0.8, -1/4, 3 in descending order.
3, 2/11, -1/4, -0.8
Sort 0, 21, -1 in increasing order.
-1, 0, 21
Put -35, 0.3, -1, 4 in decreasing order.
4, 0.3, -1, -35
Sort 2, -1, 24.
-1, 2, 24
Sort 0, -0.1, 1066 in increasing order.
-0.1, 0, 1066
Put -2/13, -0.4, 1, -2/9 in descending order.
1, -2/13, -2/9, -0.4
Sort 15, 2/7, 4, 0.3 in descending order.
15, 4, 0.3, 2/7
Sort 0.5, -1, 1.1, 4/59 in descending order.
1.1, 0.5, 4/59, -1
Sort -1/2, 50, 5.
-1/2, 5, 50
Put -5, 3/5, 14, 12 in decreasing order.
14, 12, 3/5, -5
Put 113, -1, 4, -3 in decreasing order.
113, 4, -1, -3
Put -3, 0, -1, -5 in decreasing order.
0, -1, -3, -5
Sort -2, -6, -8 in descending order.
-2, -6, -8
Put -46, -8, 4 in decreasing order.
4, -8, -46
Put -0.1, 0.3, 97, 0 in decreasing order.
97, 0.3, 0, -0.1
Sort 3/4, 3, 0.053.
0.053, 3/4, 3
Sort -5, -246, 3, -4, -2 in decreasing order.
3, -2, -4, -5, -246
Sort 4, 5, 7, 1 in descending order.
7, 5, 4, 1
Put -4, 3, 4, -25 in decreasing order.
4, 3, -4, -25
Sort -0.4, 2/3, 3/140.
-0.4, 3/140, 2/3
Sort -18, 2, 1/6, -2 in increasing order.
-18, -2, 1/6, 2
Sort 1, 0.32, 69/5 in increasing order.
0.32, 1, 69/5
Put 19, -4, 5, 8, -5 in ascending order.
-5, -4, 5, 8, 19
Sort 2, 282, 0 in increasing order.
0, 2, 282
Sort -3/7, 7/6, -4.
-4, -3/7, 7/6
Put 0.188, 1, -7/5, 2 in increasing order.
-7/5, 0.188, 1, 2
Put 3, 5, -12 in decreasing order.
5, 3, -12
Put 2/11, 1, -15, 0.02, -4/7 in descending order.
1, 2/11, 0.02, -4/7, -15
Put 0, -10, 53, 3 in decreasing order.
53, 3, 0, -10
Sort -5, 23, 4 in increasing order.
-5, 4, 23
Sort -3, 7, -15.
-15, -3, 7
Sort 4, 3, 2 in increasing order.
2, 3, 4
Sort -5, 5, -165, -1, 0 in descending order.
5, 0, -1, -5, -165
Sort -41, 4, -5 in ascending order.
-41, -5, 4
Put 5, -4, -250/7 in descending order.
5, -4, -250/7
Sort -1, -1/4, -3, -55, -2 in descending order.
-1/4, -1, -2, -3, -55
Sort -4, 29, -2/5, 0.5.
-4, -2/5, 0.5, 29
Put 4, -1, -4/5, 1/2 in increasing order.
-1, -4/5, 1/2, 4
Sort -23/3, -2/59, 2/5, 5, 6/7 in increasing order.
-23/3, -2/59, 2/5, 6/7, 5
Sort 0, 4, -2, -12, 148.
-12, -2, 0, 4, 148
Sort 0, 135, -5, -3, 5 in increasing order.
-5, -3, 0, 5, 135
Put -18, 2, -1 in ascending order.
-18, -1, 2
Put 4, 1, -22 in decreasing order.
4, 1, -22
Put 0, -2, 36, -5 in decreasing order.
36, 0, -2, -5
Sort 4, 0, -1/18 in increasing order.
-1/18, 0, 4
Sort 21, 4, -4, 3 in descending order.
21, 4, 3, -4
Sort -0.01, 4.2, -4 in ascending order.
-4, -0.01, 4.2
Put -4, 5, 18, 1 in decreasing order.
18, 5, 1, -4
Put -3/2, -0.4, 16/5 in decreasing order.
16/5, -0.4, -3/2
Sort -1/4, -2/3, -0.1, -4 in descending order.
-0.1, -1/4, -2/3, -4
Sort -211, -0.3, 1 in decreasing order.
1, -0.3, -211
Put 3, 2/11, -2/7, 4, 0.2 in descending order.
4, 3, 0.2, 2/11, -2/7
Sort -0.1, 5, 4, -1.7 in increasing order.
-1.7, -0.1, 4, 5
Sort -2/5, 70, 1/5 in decreasing order.
70, 1/5, -2/5
Put -1, -3, 3/2, -3/5 in decreasing order.
3/2, -3/5, -1, -3
Sort 77, -4, 0.
-4, 0, 77
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*x - 4*x)*(-62 + 69 + 857) + (2*x - 4*x + 4*x)*(2 - 2 - 2 + (1 - 4 + 2)*(1 + 1 - 3)) in the form h*x + k and give h.
-1730
Rearrange (-5 - 12 + 9)*(2*x**2 + 7*x**2 - 3*x**2)*((-1 + 3 - 3)*(-120*x**2 - 3376*x + 3376*x) - x**2 - 2 + 2) to f*x**4 + s*x + g + r*x**3 + l*x**2 and give f.
-5712
Rearrange (-4*h + 3*h + 0*h)*(-2 + 2 + 1)*(-2044 + 119*h + 2044)*(-27 - 22 + 16) to the form a + z*h + m*h**2 and give m.
3927
Express 222*x**3 - 254*x**3 + 31*x + 2*x**2 - 2*x**4 - 23*x in the form t*x + z + p*x**4 + i*x**3 + n*x**2 and give n.
2
Express (8*w - 51 + 51)*((-12 + 13 + 17)*(2*w - w + 0*w) - 2*w - 2*w + 2*w) as i*w + t + h*w**2 and give h.
128
Rearrange 2478*j + 3104*j + 1509*j - 949*j to k*j + r and give k.
6142
Express -4685*b - 3740*b - 15433*b as h*b + f and give h.
-23858
Express (-6 - 2 - 2 + 4)*(99090*r**2 - 24 - 99093*r**2 - 32) as m*r + x*r**2 + q and give q.
336
Express -61*f**4 + 2*f**2 - 1 + 2 - 1813*f + 1815*f as b*f**2 + w*f**3 + r*f**4 + s + p*f and give p.
2
Express ((2 - 3 + 2)*(1 - 6 + 3) + 14 - 3 + 3 + 2 + 2 - 5)*(57*s**3 - 23*s**3 + 6*s**3) as v + k*s**3 + i*s**2 + p*s and give k.
440
Express (3*l**2 + 44*l**2 + 14*l**2)*(l - 2*l + 0*l)*(-4 + 2 + 6)*(-l + 0 + 0) as p*l**2 + d*l + m*l**3 + y + u*l**4 and give u.
244
Rearrange 2 - p**3 - 2 + (-3 + 3 + 4*p**3)*(2631 - 97 + 840) to the form l + z*p**3 + t*p**2 + u*p and give z.
13495
Express ((-1 + 1 - u)*(0 + 1 + 3) + 1 + 2*u - 1)*(-6*u + 773*u - 153*u)*(-3 + 3 - 2) as d*u**2 + b + l*u and give d.
2456
Rearrange -13*z**3 - 9*z + 1 + 3*z**2 + 12*z**3 - 122117*z**4 + 122119*z**4 to d*z**3 + y*z**4 + u*z**2 + w*z + l and give u.
3
Rearrange -79*m**2 - 182*m**2 + 43*m - 19*m - 22*m to the form a + f*m + d*m**2 and give f.
2
Express 2*i**3 + 4*i**3 - 2*i**3 + (-137*i**2 + 32*i**2 + 37*i**2)*(-1 + 1 + 6*i) as l*i**2 + j*i + f*i**3 + d and give f.
-404
Express 7*j**2 + 11*j**3 - 1522 - 1519 + 3041 - 8*j**4 as l*j**3 + p*j + f + k*j**4 + x*j**2 and give l.
11
Rearrange (-2 + 2 + 2 + (-4 + 5 + 1)*((-2 - 3 + 4)*(-1 + 1 - 1) - 1 + 1 - 2) - 21 - 4 - 8)*(-4 + 4 + y) to c + z*y and give z.
-33
Express (-45*o - 161*o - 177*o)*(-2*o**3 - o**3 + 5*o**3)*(0 - 2 - 1) in the form j*o**3 + l*o + f*o**2 + x*o**4 + i and give x.
2298
Rearrange 122767*u**2 - 237101*u**2 + 122154*u**2 to the form d*u + x + r*u**2 and give r.
7820
Rearrange 688*w - 3*w**2 + 669*w - 287*w - 24*w to y + j*w + s*w**2 and give s.
-3
Express -51*x**2 + 1249*x - 10 - 1247*x + 2*x**2 as n*x**2 + q + l*x and give n.
-49
Express -440*h - 35*h**3 + 3 + 439*h - 18*h**4 + 19*h**4 as q*h**4 + o*h**3 + p*h + g + d*h**2 and give q.
1
Express 1960*v - 4886*v - 11900*v - 2368*v in the form x + y*v and give x.
0
Rearrange 1113*s**3 + 260*s**2 - 101*s**2 - 1329*s**3 - 1412*s**3 - 160*s**2 to w + f*s**3 + i*s + g*s**2 and give f.
-1628
Express -850*z + 355*z + 2805*z + 2535*z + 320*z as c*z + n and give c.
5165
Rearrange 2 - 2 - w + (17 - 2 - 2)*(-2 - 2*w + 2 + 6*w + 0*w - 5*w + (3 - 5 + 0)*(2*w - w + w) - 7*w - w + 4*w) to i + c*w and give c.
-118
Express 31*k + 30*k - 38*k + 3*k + 6*k + 2*k + (-3 - 4 + 5)*(3*k - 3*k + 5*k) as w*k + b and give w.
24
Rearrange (-4 + 4 - 5)*(4028*g**2 - 4028*g**2 - 3260*g**3)*(5 - 5 + 5) to l*g + f + m*g**2 + h*g**3 and give h.
81500
Rearrange (5*c - c - 2*c)*(c + 1 - 1)*(22*c**2 - 1962*c + 1957*c - 315 + 318) to i*c**3 + l*c**2 + d*c**4 + g + m*c and give d.
44
Express (-n + 20*n + 5*n)*(-19026 - 469*n**2 + 19026) in the form r*n + d*n**3 + x + i*n**2 and give d.
-11256
Express 637*z - 274*z + 1282*z - 3 + 400*z + 804*z as h*z + b and give h.
2849
Express (-456*u - 10244 - 493 - 16356 + 454*u)*(2 - u - 2) in the form c*u**2 + m + w*u and give c.
2
Rearrange -2195 + 93*n + 94*n + 87*n + 95*n - 372*n to i*n + z and give z.
-2195
Rearrange -6809*a - 12344*a + 3033*a to the form r + c*a and give r.
0
Rearrange (-12031*c - 1 + 21426*c - 3737*c + 0)*(0*c + 3*c - c) to t*c + b + l*c**2 and give b.
0
Rearrange -468 + 84*h - 465 + 934 + (1 - 2 - 2)*(57 - 57 + 3*h) to the form l + t*h and give t.
75
Rearrange (-108 + 108 + 14*k)*(-4 - 3 + 3)*(1 + 2 - 5 + (-7 + 6 + 10)*(3 + 1 - 3)) to u + t*k and give t.
-392
Rearrange -6856*r - 5128*r - 2424*r + 2120*r + 1507*r to the form f*r + g and give f.
-10781
Rearrange -5795*o - 2 - 19 + 24 - 3 to z + h*o and give h.
-5795
Express (-3*n**3 - 2*n**3 + 4*n**3)*(-73 + 76339*n + 153 + 5524*n + 27408*n - 80) as c*n**4 + k*n + s*n**2 + y + j*n**3 and give c.
-109271
Rearrange 0*u**2 + 321*u + 15 - 3*u**4 + 16*u**3 - 319*u + 0*u**2 + 55*u**3 to the form m + s*u + i*u**2 + x*u**4 + f*u**3 and give x.
-3
Rearrange 28 + t**2 + 4*t + 2*t**3 - 15667*t**4 + 47001*t**4 - 15665*t**4 - 15667*t**4 to the form q + l*t**3 + d*t**4 + c*t**2 + m*t and give q.
28
Rearrange -2*z + z**2 + 1324759*z**3 - 1321660*z**3 + z to the form l*z**3 + g + t*z + j*z**2 and give j.
1
Express -133*o + 132*o - 282*o - 87*o - 275*o in the form t + w*o and give t.
0
Express d**2 + 2*d - 302 - 57*d**2 + 72*d**2 as g*d**2 + r + z*d and give z.
2
Express -26*s + 2401*s**2 + 2 + 2363*s**2 - 730*s**2 + 44*s - 19*s in the form w*s**2 + t + p*s and give w.
4034
Rearrange -5808*q - 370*q + 702*q - 1219*q - 6599*q to the form d*q + w and give d.
-13294
Express -269*m**2 + 3*m**3 + 13953 - 13953 in the form j*m**3 + o*m**2 + r*m + y and give j.
3
Express r**2 + 2*r**3 - r + 18*r**2 - 2*r - 4 + 4*r - 4*r as u*r**3 + m + g*r**2 + o*r and give g.
19
Rearrange 154 - 316 + 3038*w**2 + 162 to the form j + q*w + i*w**2 and give i.
3038
Rearrange 112 + 213*h**2 - 110 + 91*h**2 + 167*h**2 + h to the form j*h + v + t*h**2 and give t.
471
Express 16*t - 6586*t**2 - 5362*t**2 - 16*t as j*t**2 + q + a*t and give j.
-11948
Rearrange (1975*p - 85 + 1979*p - 3956*p)*(2 + 4 - 8) to j*p + q and give j.
4
Express 130*w**4 - 29*w + 27*w - 29 + 6 - 171*w**4 as r*w**3 + j*w**2 + t*w**4 + k*w + u and give u.
-23
Rearrange (0 + z + 0)*(-4 + 2 - 3 + (-5 + 1 + 3)*(-5 + 5 + 2) - 362 - 91 - 6) to the form j + w*z and give j.
0
Express 24*k**2 + 90*k**2 + 4633*k - 4638*k as f + a*k**2 + z*k and give z.
-5
Express ((2 + 0 + 0)*(0*q + 2*q - q) + 3*q - 7*q - 5*q)*(39 + 19 + 26) as a*q + r and give a.
-588
Rearrange (-i - 3*i + 2*i)*(0 - 2 - 1)*((-5 + 2 + 1)*(2 - 4 + 1) + 3 + 1 - 3)*(-217 + 4912 + 241) to the form y + s*i and give s.
88848
Rearrange 1012 - 517 - 505 - 10*t - 2*t**2 to o*t + b*t**2 + i and give b.
-2
Rearrange 447*i**3 + 613822*i + 3*i**2 - 613821*i + 0 + 0 to the form t*i + s + c*i**2 + b*i**3 and give b.
447
Express 2*t**3 - 7*t**2 - 3*t**3 - 30 + 19*t**4 - 30*t**4 + 31*t**4 - 18*t**4 - 4*t in the form u*t**4 + y + z*t**3 + j*t**2 + b*t and give z.
-1
Express 43 - 142 - 41686*p + 99 in the form y + h*p and give h.
-41686
Express c - 1 + 1 + 0 + 0 - 2*c + (-4*c - c + 2*c)*(-3 + 1 + 3) + (3 + 0 - 1)*(-3*c + 3*c + c) - 2178 + 95*c + 2178 in the form o*c + f and give o.
93
Express -561 + 0*p**3 - p**4 + 3*p**3 + 550 - p**2 - 24*p in the form d*p**2 + j*p + g*p**3 + k*p**4 + y and give k.
-1
Express -4*v**4 + 9*v - 1133*v**3 + 1151*v**3 - 4 + 5 as w*v + r*v**2 + c + y*v**3 + x*v**4 and give c.
1
Express (-58*j + 58*j + 92*j**2)*(35*j + 85*j - 12*j) in the form r*j**3 + h*j**2 + s + a*j and give r.
9936
Express ((2 + 1 - 9)*(1 + 8 + 3)*(-1 - 2*v + 1) + (4*v - 3*v - 2*v)*(2 - 3 + 0))*(-5*v + 3*v + 3*v)*(-6 + 1 + 1) as l*v**2 + f + u*v and give l.
-580
Rearrange 325 + 3*b**2 - 58 - 2*b**2 + 341 to the form d*b**2 + z + g*b and give z.
608
Rearrange 79 - 158 + 5720*g + 79 to the form x + w*g and give w.
5720
Express (-57 - 285 - 227 + 108 - 212)*(2*k + 3*k - 4*k) as d*k + y and give d.
-673
Rearrange -32 + 28*b**2 - 110*b**2 + 83*b**2 + 2*b**3 - 5*b + 16 to the form j*b + d*b**2 + o + f*b**3 and give f.
2
Express 215*u**3 + 40*u - 24*u - u**4 - 7*u**2 - 214*u**3 - 15*u + 2 in the form h*u**2 + c*u**4 + i*u + m*u**3 + z and give m.
1
Express 2*n + 55*n + 1269*n**2 - 59*n as q*n + s*n**2 + m and give s.
1269
Rearrange 5*n**3 - 3*n**2 + 6*n**2 - 2*n**2 - 8 - 5*n**4 + 4*n**4 to c*n**4 + t + r*n + m*n**2 + q*n**3 and give m.
1
Express -3*y + 83*y**3 + 85*y**3 - 289*y**3 - 10*y**2 + 88*y**3 as a + w*y**3 + q*y**2 + r*y and give w.
-33
Express 28*p - 48*p + 13*p + 21*p**2 + 5*p**2 + 23*p as t + j*p + w*p**2 and give w.
26
Express (-1763*m - 3 - 194*
|
{
"pile_set_name": "DM Mathematics"
}
|
- g. Round m to 1 decimal place.
-0.3
Suppose -21 = -5*w - 1. Let p(n) = -3*n**2 + 39*n + 124. Let m be p(-3). Let i be w/m - (-16400002)/10. What is i rounded to the nearest 100000?
1600000
Suppose -6898803 = 2*t - c, -11*t - 28*c = -27*c + 37943397. Round t to the nearest 10000.
-3450000
Let d = -0.046 - 340.954. Let g = 336.73 + d. What is g rounded to 1 decimal place?
-4.3
Let l = 255 + -254.99951928. What is l rounded to four decimal places?
0.0005
Suppose 17*t + 356109 = 2332988. Let f be (6/2 - 1) + 41285. Let m = t - f. Round m to the nearest 10000.
80000
Let m = -4970.3152 + 4969. Round m to 1 decimal place.
-1.3
Let m be ((-36)/7 - (-4)/28)/((-54)/14489280). What is m rounded to the nearest 10000?
1340000
Let p = 19491.8 - 19484.0023. What is p rounded to one decimal place?
7.8
Let a = -0.0179196 + 0.02144. Round a to five decimal places.
0.00352
Let x = 3814919 + -2678874. Suppose 3*a - y + 1932132 = 0, -3*y = 5*a - 8*y + 3220210. Let d = x + a. Round d to the nearest 100000.
500000
Let t(s) = -82257*s + 60. Let m be t(-9). Let r = 2420373 - m. Round r to the nearest 100000.
1700000
Let p = 4041.346895 - 4040.8. Let w = p - 0.016721. Let z = -0.53 + w. What is z rounded to 5 decimal places?
0.00017
Let y be 978544600/150 + ((-1)/3)/(-1). Let j = y + 4446369. Round j to the nearest one hundred thousand.
11000000
Let b = -56.61 + 56.61014502. What is b rounded to 6 dps?
0.000145
Suppose 16*i = 20*i - 626048. Let u = 304312 - i. Round u to the nearest 1000.
148000
Let j = 141 - 114. Let q = 44.1 + j. What is q rounded to zero decimal places?
71
Let x = -149.8 + -0.2. Let o = 318 - 171.48. Let y = x + o. What is y rounded to one decimal place?
-3.5
Let y = -239 + 216.7. Let b = -22.2134 - y. What is b rounded to 2 dps?
0.09
Let r = 178 - 36. Let x = r - 142.241. Round x to two dps.
-0.24
Let g = -12 - -5. Let y(v) = -3 - 2*v - 3*v + 16*v. Let h be y(g). Round h to the nearest 10.
-80
Let j(p) = -319998*p - 28. Let o be 4 + 1*(-1 - 1) - -13. Let x be j(o). Let g be 11/(-4) - -3 - x/8. What is g rounded to the nearest one million?
1000000
Let r = 334910 - 334889.0761. What is r rounded to zero dps?
21
Suppose 3*a = -5 - 145. Let i = a + 52. Suppose -o = i*z - 154722 - 179274, z - 166992 = -2*o. What is z rounded to the nearest one hundred thousand?
200000
Let o = -8619 + 14312.2. What is o rounded to the nearest one thousand?
6000
Suppose 26*a - 24*a = -110. Let j = 49 + a. Let d be 1766*906/(-4) - (-5 - j). Round d to the nearest one million.
0
Let h = 579.3 - -118.15. Let o = -647 + h. Let d = o - 51. Round d to one dp.
-0.6
Let l = 56261345 + -56261251.9999504. Let c = 200 + -293. Let q = l + c. What is q rounded to five dps?
0.00005
Suppose 4*w + c + 39 = -0*c, -3*c - 9 = 0. Let g = -10 - w. Let p(u) = -75*u + 6. Let d be p(g). Round d to the nearest 10.
80
Let t = -77 + 188. Let m = -7.6 - t. Round m to 0 decimal places.
-119
Let k = 51.956 - 28.562. What is k rounded to the nearest ten?
20
Let c = -6.125 + 1.84. Let f = c - 204.815. Let m = -226 - f. What is m rounded to 0 decimal places?
-17
Let w = 1.94 - 1.99. Let j = 14.25 + w. Round j to the nearest integer.
14
Let d = -2080.0152 + 0.0152. Let m = d + 2079.99994017. Round m to five decimal places.
-0.00006
Let p = -2.8268627 + 2.8248. What is p rounded to five decimal places?
-0.00206
Let f be (6732/16)/(126/348600*(-10)/12). Round f to the nearest 10000.
-1400000
Let h = -9.247 - -307.807. Let a = h + -303. Round a to 0 decimal places.
-4
Let i = 11819.8 - 9729. Round i to the nearest 1000.
2000
Let c = -254.06 - -265.721. Let r = 11.665903 - c. What is r rounded to 4 decimal places?
0.0049
Let k = -952027642.1 + -120948136.9. Let f = k + 1072975740.99999835. Let l = -38 - f. What is l rounded to 7 dps?
0.0000017
Let p = 231.1 + -213. Let o = p - 18.836. Round o to one dp.
-0.7
Let y = 100521.077 - 100443. Let w = 78 - y. Round w to three dps.
-0.077
Let g = 6635.9997341 - 6636. What is g rounded to 4 decimal places?
-0.0003
Let s = -25.434 + 25. Let k = s + 0.434000045. Round k to 7 dps.
0
Let p = 147 - 260. Let l = -112.926 - p. What is l rounded to three decimal places?
0.074
Let b(c) = -2*c + 1. Let r be b(8). Let w be 60/(-2)*((-1115)/r - 8). What is w rounded to the nearest 100?
-2000
Let k = -445 - -626. Let o = k + -181.00000097. What is o rounded to six dps?
-0.000001
Let h = 0.4 + -0.391. Let v = h - 0.006. Let n = 0.0013 - v. What is n rounded to three dps?
-0.002
Let r = -18.5298715 + 18.528. Round r to three decimal places.
-0.002
Let m = 105208189 - 196088189. Round m to the nearest 1000000.
-91000000
Let m(a) = -873*a - 10. Let q be m(-2). Let w be 1930/(-2 + 0) - 1. Let l = w + q. Round l to the nearest one hundred.
800
Let q = 1.172 + -0.96. Let w = 0.018 + q. Round w to one dp.
0.2
Let n(t) = 902*t**2 + 9*t - 33. Let u be n(-11). Suppose 2*p - u = 8*b - 6*b, -163505 = 3*b - p. Round b to the nearest 1000.
-55000
Let n(l) = -47170*l + 20. Let x = 20 + -41. Let u be ((-24)/14)/(6/x). Let d be n(u). Round d to the nearest ten thousand.
-280000
Let g = -320.83 + 78.86. Let q = g + 242. What is q rounded to one decimal place?
0
Let x = -1863 - -1862.9032. What is x rounded to two dps?
-0.1
Let r(c) = -2*c**2 + 11*c + 8. Let l be r(6). Suppose 6*g - 9*g + 23030000 = x, -l*g = 4*x - 92120000. What is x rounded to the nearest one million?
23000000
Let o = -0.043150908829 + 1726.043093988829. Let z = o - 1726. Round z to 5 dps.
-0.00006
Let a(f) = -302001*f**2 + f + 1. Let v be a(-1). Let r(u) = -2765*u**2 + 6*u + 7. Let y be r(-8). Let k = y - v. Round k to the nearest ten thousand.
130000
Let n = -375 + 110. Let u = 133 - n. Let p = u - -147. What is p rounded to the nearest 10?
550
Let i = -229 - -234. Suppose i*k = 2*o + 35008, -8*o = -3*o + 20. What is k rounded to the nearest 10000?
10000
Let h = 180.326 + -0.326. Let t = h - 180.000716. Round t to four dps.
-0.0007
Let n = -2517013823.099224 - -2517029386. Let u = 15563 - n. Let q = -0.099 + u. Round q to five decimal places.
0.00022
Let b = -66178464.000146 - -66178278. Let o = b - -186. What is o rounded to 4 dps?
-0.0001
Let o = -170.2865 + -2.2235. Let w = 174 + o. Let z = w - 1.49000073. What is z rounded to 7 dps?
-0.0000007
Let h = 4481422.431907 + -4481414. Let k = h - 0.231906. Let n = k - 8.2. Round n to five dps.
0
Let t(h) = -64*h - 8. Let v(u) = -5*u - 1. Let m(z) = -2*z - 1. Let b(y) = -2*m(y) + v(y). Let j(f) = 3*b(f) - t(f). Let n be j(7). Round n to the nearest 100.
400
Let w = 7040445 + -7041080.0726. Let j = 528 + -1163. Let s = w - j. What is s rounded to 3 dps?
-0.073
Let b = -2599932 + 2600152.2881. Let p = 221 - b. Let d = 0.72 - p. What is d rounded to three dps?
0.008
Let n = 1777029383070.000006 - 1777031883046. Let o = n + 2499972. Let w = -4 - o. What is w rounded to 6 decimal places?
-0.000006
Let n = 29.452 + -30. Let q = n - -0.548698. What is q rounded to four decimal places?
0.0007
Let d = -91.21 + 124.375. Let r = d + 0.535. What is r rounded to the nearest ten?
30
Let x = -3074899 + -1558601. What is x rounded to the nearest 100000?
-4600000
Let p = -38954.8909 + 0.8909. Let g = p + 39134.774. Let y = -181 + g. Round y to 2 decimal places.
-0.23
Let v(u) = -u - 34. Let a(k) = -k. Let b be a(-4). Let q be b + 7/(7/(-16)). Let l be v(q). Round l to the nearest 10.
-20
Suppose 0*x - 5*x - 4*h = -7, -x + 11 = -4*h. Let g be x/(18/(-4)) + (-48)/(-18). Suppose 2*v + 344 = 4*r, -g*v - 4*r - 466 = v. Round v to the nearest 10.
-160
Let d = -118415219.999918 - -118415058. Let s = 162 + d. What is s rounded to 5 dps?
0.00008
Let b = 26463.198 - 26424. Round b to the nearest integer.
39
Let m be (-47)/(-3) - 7/(-21). Suppose 12*n = m*n. Suppose n*q = -6*q - 2220000. Round q to the nearest one hundred thousand.
-400000
Let j = 0.04574 - 0.045752755. What is j rounded to 7 dps?
-0.0000128
Let l = -0.5871 + 0.557. Let f = 11111.94 + -11112. Let h = f - l. Round h to two dps.
-0.03
Let y = -0.0288 - -0.02854363. Round y to 6 decimal places.
-0.000256
Let x = -12084.9993869 - -12085. Round x to 4 decimal places.
0.0006
Let f = 31 - 26. Suppose 0 = p - 4, 2*c + 4 = -7*p + 8*p. Suppose 2*y + f*z + 0*z - 6465 = c, -2*y - 4*z = -6464. What is y rounded to the nearest one thousand?
3000
Let n
|
{
"pile_set_name": "DM Mathematics"
}
|
of (2/g)/(n/(-36))?
6
Suppose -4*y + 30 = y. What is the units digit of y?
6
Let q(v) = -v**2 + 2*v + 7. What is the units digit of q(0)?
7
What is the hundreds digit of 412/12*(-1 + 4)?
1
Suppose -5*d = -d + 24. What is the units digit of -3*(2/d - 2)?
7
Let x(k) be the first derivative of -15*k**2/2 - 7*k + 5. What is the tens digit of x(-3)?
3
Suppose v - 40 = -2. What is the units digit of v?
8
Let w(v) = 254*v - 15. Let p(m) = 51*m - 3. Let u(k) = -11*p(k) + 2*w(k). What is the units digit of u(-1)?
6
Suppose 4*i + 5 = -3. Let y = i - -9. What is the units digit of y?
7
Let s(m) = m**3 - 7*m**2 + 6. Let h be (-20)/8*-14*1. Suppose i - h = -4*i. What is the units digit of s(i)?
6
Suppose 337 - 1232 = -5*k. What is the hundreds digit of k?
1
Suppose -3*o = g, -5*o + 2 = 2*g + 1. What is the tens digit of (0 + o)/1*-15?
1
Let s be -1 + 3 + 0/(-2). Suppose 2 = -0*d + s*d. What is the units digit of (-4)/12*d*-3?
1
Suppose -d = d - 56. Let m = -14 + d. What is the units digit of m?
4
Suppose 5*v - 2*v - 219 = 0. What is the tens digit of v?
7
Let a = 90 + -32. What is the units digit of a?
8
Let h(n) = 5*n + 12. Let u be h(9). What is the units digit of u/12 + 1/4?
5
Let s(z) = z**3 + 9*z**2 - 18*z + 14. What is the tens digit of s(-8)?
2
Let f be (-2)/1 - -1 - -5. Let m(t) = -t**2 + 5*t - 1. Let g be m(f). What is the tens digit of (-26)/(-2) + g/(-1)?
1
Suppose -4*p + p + 342 = 5*l, 3*l + 366 = 3*p. What is the hundreds digit of p?
1
Suppose -8 = -2*n + 4. Suppose 0 = 3*o + 12 + n. What is the units digit of ((-4)/6)/(o/27)?
3
Let b(t) = -t**3 - 10*t**2 - 9*t - 5. Let d be b(-9). Let f be d/(-20) + 30/8. Suppose 0 = 4*m + f*u + 4, 5*m + 2*u = u + 15. What is the units digit of m?
4
Let x be (-108)/(-3)*2/(-4). Let b = 10 - x. Suppose 0 = 2*w + 3*j - b - 2, 26 = 2*w + 2*j. What is the units digit of w?
9
Let l = 3 - 1. Suppose 5*b = 4*m - 6 + 18, 4*m + l*b - 16 = 0. Let f = m - 0. What is the units digit of f?
2
Let w = 133 - -158. What is the units digit of w?
1
Suppose 0*t + 5 = t. Suppose t*o = 3*o + 10. Suppose 107 - 37 = o*v. What is the units digit of v?
4
Let i = -2 + 1. Let f(z) = 12*z - 72. Let o be f(6). What is the tens digit of 3 + i + o + 16?
1
Let c be (7 + -1)*15/18. What is the units digit of 50/4*18/c?
5
What is the tens digit of ((-2535)/(-6))/5 + (-3)/6?
8
Suppose 11 = 5*j - 199. What is the units digit of j?
2
Suppose -g = -2*x - 3*x - 4, 0 = 3*x + 3*g - 12. Let f be x + 0 + (-12)/(-3). Suppose -f*i + 3*n = 5*n - 12, -3*i = -5*n + 4. What is the units digit of i?
2
Let z(v) be the first derivative of v**3/3 - 9*v**2/2 - 14*v + 4. What is the units digit of z(11)?
8
Let a be -1 + (-2 + 4 - -1). Suppose a*s + 18 = 42. What is the tens digit of s?
1
Let k = -551 + 864. What is the hundreds digit of k?
3
What is the hundreds digit of (-2)/(-6) + (-1)/((-3)/827)?
2
Let v = -4 - -5. Let n = v + -1. What is the units digit of (-21)/3*(-1 + n)?
7
Suppose 3*o - 3 = 4*o. What is the units digit of 21/(-7)*8/o?
8
Let p(j) = j + 4. Let a be p(0). Suppose 0 = -a*f + 2*f + 12. What is the units digit of f?
6
Suppose d = f + 35, -2*d - 7*f + 42 = -2*f. What is the units digit of d?
1
Let a(q) be the third derivative of -q**6/60 + q**5/60 - q**3/2 + q**2. Let u be a(-3). Suppose -4*k + u = 4. What is the units digit of k?
4
Let r be ((-16)/20)/(2/30). Let s = r + 16. What is the units digit of s?
4
Suppose -50 = -5*t + 5. What is the tens digit of t?
1
Suppose -22*f + 21*f = -62. What is the tens digit of f?
6
Let n = 19 + -1. What is the units digit of n?
8
Suppose 3*n + 0*n - 543 = 0. What is the hundreds digit of n?
1
Let m(b) = -b**3 + b. Let i be m(-1). Suppose -3*y + 0 + 15 = i. Suppose 4*w - y*w + 10 = 0. What is the tens digit of w?
1
Let s be 4/(6/3) - 1. What is the tens digit of 35/(-14)*-4*s?
1
Let p(z) = z**3 + 2*z**2 - 8*z - 6. Let r be p(-4). Let n(u) = u - 8. Let x be n(0). Let h = r - x. What is the units digit of h?
2
Let x = 157 - 135. What is the tens digit of x?
2
What is the units digit of 6/8 - 1017/(-36)?
9
What is the units digit of (-7)/(14/(-80)) + 2 + -1?
1
Let f be (1/2*2)/(-1). Let v(j) = -24*j + 2. What is the tens digit of v(f)?
2
Let g(c) = c**2 - 4*c + 4. Let k be g(3). Let h = -30 - -19. Let s = k - h. What is the tens digit of s?
1
Suppose -5*w + 0*w + 162 = -2*y, -2*w + y + 64 = 0. What is the units digit of w?
4
Let v(s) be the second derivative of -s**5/20 + s**4/3 + s**3/6 + 2*s**2 + 3*s. What is the units digit of v(4)?
8
Suppose 3*p - 462 - 63 = 0. What is the tens digit of p?
7
Let s be -10 + (3 - 0)/(-3). Let o = 17 + s. What is the units digit of o?
6
Let a(r) = -r + 3. What is the units digit of a(-4)?
7
Let h(i) = 15*i**2 - 4*i - 5. What is the tens digit of h(-3)?
4
Suppose -5*a = -n + 21, 5*n + 9 + 2 = -4*a. Let h be 1/(n/5) + -1. Suppose h*t = -3*g - 3, 2*g - 3*g - 5*t = 12. What is the units digit of g?
3
Let s(k) = -5*k. Let g be s(6). Let v = g + 60. What is the tens digit of v?
3
Let k(h) = -h**3 - 4*h**2 + 2*h - 2. Suppose -4*v + 17 = -5*z - 4, 4*v = -5*z - 29. What is the tens digit of k(z)?
1
Let j(m) = m**3 + m**2 - 3*m + 2. Let z be j(2). Suppose -o - z = -14. What is the units digit of o?
6
Let y(z) = -z**3 - 6*z**2 - 6*z + 5. What is the units digit of y(-5)?
0
Suppose 280 = 5*k - 215. What is the units digit of k?
9
Let i(u) = u**3 - 2*u**2 - u - 2. Let f be i(3). Suppose f*c = 5*p - 80, 17 = p - c - 0*c. What is the tens digit of p?
1
Let y(v) = -v**3 + 2*v**2 + v. Let h be y(-1). Suppose h*l = -3*o + 115, o = -2*o - l + 113. What is the tens digit of o?
3
Let i be (0 - 1)/(2/(-8)). Suppose -5*y + 0*y - 4*n = -123, y - 31 = -i*n. What is the units digit of y?
3
Suppose -2*y = 3*t + 8, y - 14 = 2*y + 4*t. Suppose -j + 17 = y*d, -2*j - d = -0*d - 49. Suppose j = 2*v + v. What is the units digit of v?
9
Suppose -2*n + 220 = 2*s, 2*s - 446 = -2*n - 2*n. What is the hundreds digit of n?
1
Suppose 2*c = -4*c + 264. What is the units digit of c?
4
Suppose 2*g + 42 = -g. Let m = g - -42. What is the tens digit of m?
2
Suppose -b - 111 = -2*c, -5*c = 4*b + 1 - 311. Suppose 5*n = 8 - c. Let l = n + 16. What is the units digit of l?
6
Suppose -k - 5*c - 75 = -3*k, 4*k - 115 = 3*c. What is the units digit of k?
5
Suppose -7 = 2*l - 3*y, 3*l - 2*y = -y + 7. Let g(f) = -4 - l - 6*f + f**2 + 5. What is the units digit of g(7)?
4
Let f = 215 + -95. What is the tens digit of (-16)/3*f/(-16)?
4
Let k be 0 + 1 - (-2)/2. Suppose 0*b - 22 = -k*i + 3*b, 44 = 3*i + b. Suppose -r + i = -2. What is the units digit of r?
6
What is the units digit of -1*(-10 - -5) - -222?
7
Let q be (2/(-5))/((-1)/30). Let k = q + -2. What is the tens digit of k?
1
Let v = 9 - -3. What is the units digit of v?
2
Let d(y) = -2*y. Let p be d(-1). Let j(h) = -4 + h**2 + 2*h**2 + 7*h - 3*h**p - h**2. What is the units digit of j(5)?
6
Let y = -19 - -36. What is the tens digit of y?
1
Let w(h) = -h**3 + 11*h**2 - 11*h + 15. Let v be w(10). Let q = v - -11. What is the tens digit of q?
1
Let b(x) be the third derivative of x**5/60 + x**4/24 + 2*x**3/3 + 2*x**2. What is the units digit of b(-3)?
0
Suppose 20 = -5*j - 3*z, 4*j - z + 5 + 11 = 0. What is the units digit of j/8*-6 - -20?
3
Let b(h) = 1 + 3*h**3 + 2 - 4*h**3 + 8*h**2 - 4*h + 14*h. What is the units digit of b(9)?
2
Let s(b) = b**3 + 3*b**2 + 2*b + 1. Let q be s(-2). What is the units digit of (-1)/(3/(-15)) - q?
4
Suppose -55 = -2*w + 2*r + 57, 166 = 3*w - 5*r. What is the units digit of w?
7
Let i(m) = 3*m**3 - m**2 + 1 + 0*m**3 + 0*m**2. Let r = 0 + 1. What is the units digit of i(r)?
3
Let q(n) = n + 9. Let r be q(-5). Suppose 2*s + 14 = r*s. Suppose 5*j - s = 18. What is the units digit of j?
5
Let a = 5 + -2. Let y be (-2 + 2)/(1 - 0). Suppose y = 2*b + 2*b + 16, -a*v = b - 8. What is the units digit of v?
4
What is the units digit of 3 - 23/(-2)*(-2 - -12)?
8
Suppose 0 = -4*a - 2*g - 16, -1 = a + 2*g - 0. Let x(f) = 4*f + f + 7 - 6*f. What is the tens digit of x(a)?
1
Let w = -3 - -5. What is the units digit of w?
2
What is the hundreds digit of (-4)/18 - 478*2/(-9)?
1
Let f = -13 + 28. What is the tens digit of ((-132)/f - -4)*-5?
2
Suppose 0 = 4*c, 5*c - 1 - 11 = -4*j. Suppose -j*t = -t + 5*d - 119, d = -3*t + 159. Suppose 3*n = -2*z + 4, 4*z - n - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 46 = 5*i for x.
-13
Solve 1 = d + 4*h, -857*h + 859*h - 1 = -d for d.
1
Solve -v + 2*m - 3 = -12, -2*m - 8 = 0 for v.
1
Solve 4*q + 12 = q, 3*m + 4*q - 40 = -35 for m.
7
Solve 0 = 4*z + 226*k - 225*k + 18, 0 = z + 5*k + 14 for z.
-4
Solve -3*g = -96*y + 97*y + 13, -2*y - 5*g = 20 for y.
5
Solve 3*u + 48 = -2*t, -127488*u + 127491*u = -4*t - 48 for t.
0
Solve 3 = -n - 2*o, 2*n + 5322*o - 5319*o + 7 = 0 for n.
-5
Solve -2*d + y = -9, -258*d + 253*d + 27 = -4*y for d.
3
Solve 4*c - 5*f - 19 = -6*f, -4*c = -5*f - 25 for c.
5
Solve 0 = -22*l + 21*l + 5*f + 13, 4*l + 23 = -5*f for l.
-2
Solve -i - 10 = 3*v, 3*i - 3*v - 722 + 740 = 0 for i.
-7
Solve -97*l + 3*p = -98*l - 2, -6 = 3*l + 3*p for l.
-2
Solve 2*w + 69*h = 71*h - 26, -5*w - 5*h = -25 for w.
-4
Solve -3*r - 346675 + 346654 = 5*m, -9*m + 3*r - 63 = 0 for m.
-6
Solve 5*m + 5*a = -70 + 105, -2*m - 5*a = -20 for m.
5
Solve 3*p - 17 = 4*k, 3*k - 249 + 260 = 4*p for p.
-1
Solve -2724*g = 5*a - 2729*g - 5, 4*a + 4*g - 12 = 0 for a.
2
Solve -4*p + 22 = 14*r, -10*r = 5*p - 11*r + 28 for p.
-5
Solve -4*t = -16, 69*t = -6*b + 67*t + 50 for b.
7
Solve -4*q - 5*i + 13 = 50, 2*i = -5*q - 8 for q.
2
Solve 2*a - 10*q = -8*q, -a = -3*q + 4 for a.
2
Solve 28400 = h + 5*c + 28410, 0 = -5*h + 3*c + 34 for h.
5
Solve -2*q - 1 = -2541*o + 2544*o, -q + 7*o + 25 = 0 for q.
4
Solve 0 = -4*o + 16, 0 = -193*y + 190*y + 5*o - 26 for y.
-2
Solve 0 = 2*r - 8*z - 52, -4539 = 2*r - 2*z - 4555 for r.
2
Solve 9*w + l - 39 = -21, 0 = 3*w - 4*l - 6 for w.
2
Solve 61 = -6*j + 5*y, -2*j + 323*y - 32 = 319*y for j.
-6
Solve -42*u - 41 = -46*u - 3*l, 4*l = -3*u + 22 for u.
14
Solve -9 = -21*h + 15*h - m, 3*h + 2*m - 9 = 0 for h.
1
Solve 6*w + 10*y - 13 = 12*y + 11, -12 = -4*y for w.
5
Solve 30 = -2*b + 5*t, -19 = 3*b - 90*t + 89*t for b.
-5
Solve -30 = -5*z - 5*d, 0 = 3*z - 700*d + 699*d - 6 for z.
3
Solve 0 = -12*r + 8*r - 3*h + 61, 9*r = -2*h + 161 for r.
19
Solve 223*l = x + 225*l - 5, 1 = -4*x - l for x.
-1
Solve -5*z - 14 = -4*w, 1341*w - 5 = z + 1338*w for z.
-2
Solve -2*j - 245 + 251 = 2*b, -9 = -j + 5*b for j.
4
Solve f - 5*h + 7 = 0, -96*h = -3*f - 100*h - 2 for f.
-2
Solve 3*v + 9 = 0, -2*p - 1 = -4*v + 7*v for p.
4
Solve -9*g + 27 = 0, 13*z - 18*z + g = -2*g + 9 for z.
0
Solve -2*u = 4*u + 2*t - 22, -4*u = -4*t - 4 for u.
3
Solve -2*a = 5*g + 13, -21 = 4*a - 3*g - 60 for a.
6
Solve 3*y = 13*h - 104, 0 = h + 1 - 9 for y.
0
Solve c - 5*c = 3*v + 15, 302*v = -2*c + 303*v + 5 for c.
0
Solve -q + 5*y + 66 = 0, 4*q + 2*y + 38 = -6 for q.
-4
Solve n - 90*d + 93*d + 8 = 0, -10 = 5*d for n.
-2
Solve 0 = -2*n - o - 2, 0 = n + 5*o + 1289 - 1270 for n.
1
Solve i - 40 = -3*r - 44, 2*r + 4*i = -16 for r.
0
Solve -4*f - 11 = 5*g, 6*g - 103 = -5*f - 116 for g.
-3
Solve -u + 7*k + 26 = 0, -5*u - 3*k = -162 + 108 for u.
12
Solve -2*o - 9 = -q, 0 = -3*q + 43 - 58 for o.
-7
Solve -2*n = 356*i - 361*i + 46, -26 = 2*n - 3*i for n.
2
Solve -5*m - 62 = 6*w, 3*w - 9*m = -8*m - 38 for w.
-12
Solve 3*v - 3*x + 6 = 0, 2426*x - 2421*x + 2 = 2*v for v.
-4
Solve p = -3*n - 5, -104*n + 4*p - 8 = -109*n for n.
-4
Solve -3*y - 2*b = -9, -1479*b + 1478*b + 7 = -y for y.
-1
Solve 2*j + 75198 = -4*t + 75194, -8 = 4*j for t.
0
Solve c + p + 29 - 27 = 0, -2*c = -p - 2 for c.
0
Solve 186*f - 184*f - 8 = 0, -2*f + 18 = 5*v for v.
2
Solve -3*z - 2*y = -7, -9*z + 5*y = -13*z for z.
5
Solve 38 = -3*m + 4*w, 4*m - 5*w = -w - 40 for m.
-2
Solve -480*r + t = -478*r - 3, -3*r - t + 17 = 0 for r.
4
Solve -3*p - 5*w = 28, 28*p - 31*p - w - 8 = 0 for p.
-1
Solve -y - 1 = -3*j, 2*j + 47*y = 48*y - 1 for j.
2
Solve 5*c = -n - 20, -173*c + 178*c + 4*n = -35 for c.
-3
Solve k - 3*n + 69 - 73 = 0, 2*k = -5*n - 25 for k.
-5
Solve -4*f - 3731*b + 3726*b = 21, -3*f - 15 = 4*b for f.
-9
Solve l + 66 = 5*z + 23, -l + 4*z = 35 for l.
-3
Solve 40*r = 39*r - 4*f - 3, 4*f + 13 = r for r.
5
Solve 0 = -4*i + 3*t + 38, -8*t - 42 = -5*i + 65 for i.
-1
Solve 29*t - 2*m = 27*t - 58, 2*m = t + 33 for t.
-25
Solve -20 = -3*b + 5*z, -2*b + 444 = b + 12*z + 441 for b.
5
Solve 4*k = 4*a + 12, 3*a - 2534 + 2548 = 4*k for a.
2
Solve -3*m - 1 = j, -7*m = -j - 11*m for j.
-4
Solve -28*b = -26*b - m + 12, 55*b + m = 5*m - 330 for b.
-6
Solve 0 = -5*h - 25, 3*g - 30*h = -28*h + 4 for g.
-2
Solve -2*j - 12 = 4*m, -163*j = -164*j - 2 for m.
-2
Solve 524*w - 526*w - 6 = -x, 0 = -9*w + 10*x - 38 for w.
-2
Solve 31 = l + 5*d, 123*d = -l + 125*d - 18 for l.
-4
Solve 4*f + 7435 = 7431, -2*f = 3*w - 34 for w.
12
Solve 0 = x - 2*a, -16*x + 19*x + 4*a = -20 for x.
-4
Solve -123*j = -3*o - 127*j - 22, o = -j - 6 for o.
-2
Solve -19 = 3*z + 2*b - 30, -3*z + 25 = -5*b for z.
5
Solve -294 + 293 = 2*h + n, -2*h + 3 = 5*n for h.
-1
Solve 108 = -3*p - 72*b, 92*b + 7 = -p + 97*b for p.
-12
Solve -3*b - 3*j + 12 = -2*j, 24 = 3*b - 3*j for b.
5
Solve -5*v - 3*x + 158 = -161 + 322, 5*v + x = -11 for v.
-3
Solve -233*k + 236*k = 4*t - 4, -k = 2*t - 2 for t.
1
Solve -2*v = 2*l - 8, -709*v - 4 = -706*v - l for v.
0
Solve -2*v - 64*z = -69*z + 24, -3*z + 18 = 0 for v.
3
Solve 2*d + 5 = -4*j - 29, 3*j + 24 = -d for d.
-3
Solve 0 = 2*m - 7*m + 20, 0 = -3*q - 3*m - 248 + 332 for q.
24
Solve -6*j = 2*g + 8, 4*j - 44*g = -41*g + 12 for j.
0
Solve 0 = -4*f - 2*m + 80 - 50, 2*f - 4*m + 10 = 0 for f.
5
Solve 3*j = v + 12, -5*j + 6723 = 4*v + 6720 for v.
-3
Solve 5*h - 29 = 4*k, 830*k - 45 = 833*k + 4*h for k.
-11
Solve 4*c - 58*z = -55*z + 27, 0 = 4*c - 5*z - 37 for c.
3
Solve -2*w = -3*u + 16, 163*u = 159*u - 5*w - 17 for u.
2
Solve -41 = 5*m + 4*n - 31, 8*m = -n - 16 for m.
-2
Solve -15 = -3*i, -3*p = i + 3*i - 17 for p.
-1
Solve -16*d + 45 = -9*f - 13*d, -f - 3*d + 5 = 0 for f.
-4
Solve 2 = -2*b + 8*w - 6*w, 5*b - 8*w = 1 for b.
-3
Solve -27 = 5*g - 3*x - 9 - 9, 0 = 64*g - 5*x + 15 for g.
0
Solve -5*q - 2*n = -4, -4*q - 4*n - 9 = -17 for q.
0
Solve 6*x + 2*g - 41 = x - 50, 3*x = -2*g - 7 for x.
-1
Solve -4*g = 2*z + 16, z + 344*g = 339*g - 23 for z.
2
Solve 0 = 9*p - u + 48, -191 = p + 4*u - 198 for p.
-5
Solve 10*z - 14*z - 11 = 3*n, -5*z - 10 = 5*n for n.
3
Solve 2*s + 3 = 90099*j - 90100*j, -5*s + 5*j = -15 for s.
0
Solve -5*b = -7*p - 68, -4*p + 1 + 15 = 4*b for b.
8
Solve -32*n + 29*n + 5*p - 25 = 0, 0 = 2*n + p + 8 for n.
-5
Solve -32 = -4*y - 4*a, 4*y - 164*a = -159*a - 4 for y.
4
Solve -200*p + 4*x = -199*p - 5, 7 = -p - 2*x for p.
-3
Solve -13*l = 20*b - 23*b + 50, -4*l - 24 = -2*b for l.
-2
Solve -352*x = -r - 351*x + 12, x - 23 = -4*r for r.
7
Solve -w + 1 = -2*z, -16*z + 17*z = -10*w - 11 for w.
-1
Solve -2*g = 2, 3*a = -137*g + 138*g + 13 for a.
4
Solve t + 25 = i + 12, 2*t + 3*i - 64 = 0 for t.
5
Solve 0 = -p + 4, 14 = 2*v + 20556*p - 20552*p for v.
-1
Solve -4*g - 17 + 41 = -l + 23, 5*g = -5 for l.
-5
Solve 5*p + 11 = -8*b, -18*p - 9 = 2*b - 23*p for b.
-2
Solve -140 + 132 = 4*z + m, -17 = z + 4*m for z.
-1
Solve -11*y = -3*m - 14*y + 21, 4*m - 12 = 4*y for m.
5
Solve 0 = 2*m - 4*a - 14, -5*m - 22*a + 25*a + 49 = 0 for m.
11
Solve 0 = -58*y + 60*y - h - 14, 0 = y + h - 1 for y.
5
Solve -358*y = -5*f - 363*y + 10, -f + 4 = 2*y for f.
0
Solve b + 145 = 4*t + 150, 7 = -2*t - b for t.
-2
Solve 4*h + k = -1, 2*k = -h + 596 - 584 for h.
-2
Solve -47*o + 3*d - 20 = -52*o, 2*d - 11 = -o for o.
1
Solve 2*g = 4*c - 10, 335*g + 4 = 4*c + 339*g - 24 for c.
4
Solve -5*v = 3*g - 7, -2*v + 38*g = -4*v - 34 for v.
2
Solve -25 = 5*n - 5*c, -5*n = 4*c + 95 - 97 for n.
-2
Solve 4*i + m = 12, -2*m + 64 = -4*i + 88 for i.
4
Solve 76 = 5*t + 3*z, -t - 2*z = -17276 + 17216 for t.
-4
Solve -38*w = 4*z + 284, -69*w + 73*w = -3*z - 17 for w.
-8
Solve 5*j = -3*k, 0 = 30*j + 2*k - 1623 + 1703 for j.
-3
Solve -52*z - 4*s = -57*z - 36, z = -3*s + 8 for z.
-4
Solve -8099 = -2*w - 2*q - 8101, 4*w = 3*q - 18 for w.
-3
Solve -7*z - 2*l + 219 = 153, -z + 4*z + 1 = 5*l for z.
8
Solve -g - 181*x + 172*x - 51 = 0, -g - 9 = 2*x for g.
3
Solve 0 = -6*w + 5*i + 153 - 127, 5*w + 15 = -5*i for w.
1
Solve -2*h = -5*d - 16, 946*h = 5*d + 947*h + 22 for d.
-4
Solve -5*r - 5*v = -25, 2*r - 4*v = 32 - 28 for r.
4
Solve 15*f - 164 = -j - 141, 43 = 3*f + 5*j for f.
1
Solve -4*d - 14*l + 10 = -17*l, -2*d + 12 = -5*l for d.
1
Solve 5*d - i = 8 + 4 - 2, 2*i = -60 for d.
-4
Solve 3*s = 9*h + 18, 3*h = 4*s + h - 24 for s.
6
Solve -5*g - 3*m - 3 = -m, 2*m + 8 =
|
{
"pile_set_name": "DM Mathematics"
}
|
2)) assuming z is positive.
z**(128/19)
Simplify ((o*o*o*o*o/(o*o/((o/(o**(-1/4)/o)*o)/o)*o)*o*o*o)/(o**(-3/7)*o))**(-1/46) assuming o is positive.
o**(-187/1288)
Simplify b*(((b**(-1)/b)/b)/b)/b*b**(-6)/b*(b/(b*b**(-1/3)))**(-49) assuming b is positive.
b**(-82/3)
Simplify (h/(h**(-16)*h)*h)/(h/h**(-1)) assuming h is positive.
h**15
Simplify (f**10/f)**(2/7) assuming f is positive.
f**(18/7)
Simplify ((k*((k**(-1/5)*k)/k)/k)**(1/5))**(-3/11) assuming k is positive.
k**(3/275)
Simplify (((u/u**(3/7))/u)**16)**27 assuming u is positive.
u**(-1296/7)
Simplify n*n**(-17)/n*n*n**12 assuming n is positive.
n**(-4)
Simplify o/(o**(-1/23)*o)*(o*o*o**(-11))/o assuming o is positive.
o**(-229/23)
Simplify u**(2/59)/u*u**2 assuming u is positive.
u**(61/59)
Simplify (s*s/((s*((s**(14/9)/s)/s)/s*s)/s))/s**17 assuming s is positive.
s**(-131/9)
Simplify ((r**(-3/5))**(2/5))**(-22/5) assuming r is positive.
r**(132/125)
Simplify (w*w**(-3))/(w*w/w**(-4/7))*w**(2/5)/w**(1/7) assuming w is positive.
w**(-151/35)
Simplify (p/p**(-8))/(p/((p/p**(2/89)*p)/p)) assuming p is positive.
p**(799/89)
Simplify v**(1/24)/(v/v**(-16)) assuming v is positive.
v**(-407/24)
Simplify (z*z*z**(1/2)*z*z*z/(((z/(z*(z/z**12)/z)*z)/z)/z)*z)**(4/9) assuming z is positive.
z**(-2)
Simplify ((j**(2/3)/j)/j)**(-24/5) assuming j is positive.
j**(32/5)
Simplify (y*(y**(3/2)*y)/y)/y*y**7 assuming y is positive.
y**(17/2)
Simplify h**6/(h/(h/(h/((h**(2/23)/h)/h))))*((h**6/h)/h)/(h**(1/8)*h*h) assuming h is positive.
h**(913/184)
Simplify t**(-2)*t*t**(-2/9)*t*(t**(1/4))**(-4/3) assuming t is positive.
t**(-5/9)
Simplify b*b**8*b*b*b**17 assuming b is positive.
b**28
Simplify r**(3/7)*r*r*r**21/r assuming r is positive.
r**(157/7)
Simplify x**(-1/7)*x*x**(-1/5)*x*(x*x**(2/7))**(-1/60) assuming x is positive.
x**(229/140)
Simplify (w/((w*w**(-1))/w))**17*w/(w/(w*w**(5/4)/w))*w*w**(-1/6) assuming w is positive.
w**(433/12)
Simplify ((f/f**(1/2))/f*f)/f*f**(-5/3)*f assuming f is positive.
f**(-7/6)
Simplify m**(1/7)/m*m*m*m*m/(m*m/m**(-6))*(m**0)**(5/13) assuming m is positive.
m**(-34/7)
Simplify (m/(m*m**(-2/87)))**(1/7) assuming m is positive.
m**(2/609)
Simplify (y**(-15)/y)/y**19 assuming y is positive.
y**(-35)
Simplify (l/l**(-2/3))/l*l**0*(l/l**0*l)**(-2/3) assuming l is positive.
l**(-2/3)
Simplify (p*p*p**(1/18)*p)/(p*p*(p*p**(8/9))/p) assuming p is positive.
p**(1/6)
Simplify o**4*o*o*o/o**9*o/(o*o/o**(1/4))*o*o/(o/o**4)*o*o assuming o is positive.
o**(17/4)
Simplify ((d/d**(-1/3))/d*d*d**(-3/5)/d)**50 assuming d is positive.
d**(-40/3)
Simplify (a/a**(-2))**(-22)/(a**1/a)**(-4/29) assuming a is positive.
a**(-66)
Simplify h**(-21)/h**(-8) assuming h is positive.
h**(-13)
Simplify (m/(m/(m/((m*m/((m/(m**(-1)/m)*m*m)/m))/m)))*m)**5/(m*m*m**(-2/5)/m)**24 assuming m is positive.
m**(53/5)
Simplify (g**0*g)/g*g**(17/2) assuming g is positive.
g**(17/2)
Simplify ((g**(-4))**(-18))**13 assuming g is positive.
g**936
Simplify ((v/(v**(-2)/v))**(-32))**(-2/63) assuming v is positive.
v**(256/63)
Simplify h/h**(-16)*h*h/((h/h**(2/73))/h) assuming h is positive.
h**(1389/73)
Simplify (o/o**(-1/4))**(-43)*(o**(-2/15)*o)/o**(-2) assuming o is positive.
o**(-3053/60)
Simplify (u**(-18)*u)/u*(u/((u*u**(-1/11)*u)/u)*u)/u*u assuming u is positive.
u**(-186/11)
Simplify (h**(-2/31))**(-2/3) assuming h is positive.
h**(4/93)
Simplify (b**(-2)*b*b/(b*b*b*b**(-4))*b)**(-4/21) assuming b is positive.
b**(-8/21)
Simplify z/z**(3/2)*z/(z/(z/((z**(-2/25)/z)/z)))*(z/(((z*z*(((z/(z*z**(-1/3)))/z)/z)/z*z)/z*z)/z*z*z))**(4/31) assuming z is positive.
z**(11797/4650)
Simplify ((m*m/(m*m**5))**(-39))**42 assuming m is positive.
m**6552
Simplify ((v/((v*v*((v/v**(6/17))/v)/v*v)/v*v*v))/v*v)/(v**10*v) assuming v is positive.
v**(-215/17)
Simplify (b*b**(-2)*b)/(b*b**(-4)*b) assuming b is positive.
b**2
Simplify n**(-10/3)/n**(-1/8) assuming n is positive.
n**(-77/24)
Simplify (z/z**5*z)/(z*z**3/z*z)*z/(z**(-1)/z)*z**(-6)*z assuming z is positive.
z**(-9)
Simplify l/(l**35*l)*l**(2/5) assuming l is positive.
l**(-173/5)
Simplify s**20/s*(s*s**(-33))/s assuming s is positive.
s**(-14)
Simplify ((q/(((q*q**(-10/7))/q)/q)*q)/q**(-6))**48 assuming q is positive.
q**(3504/7)
Simplify f**(-2/15)/(f*f**6/f*f)*f**(-3)/(f/f**(1/9)) assuming f is positive.
f**(-496/45)
Simplify (u**(6/11)/u*u**(-2/25))**6 assuming u is positive.
u**(-882/275)
Simplify (p**(2/7))**(-5/4)/(p**0)**(45/2) assuming p is positive.
p**(-5/14)
Simplify (((l*l**(-4))/l)/l)**3 assuming l is positive.
l**(-15)
Simplify ((y*y*y*y**(2/11))/(y**(-2/15)/y))/((y/y**(-7))/y**(1/8)) assuming y is positive.
y**(-4699/1320)
Simplify z*z**(-3)*z**(-4/5)/z*z**4/(z/(z**(-4/7)/z)) assuming z is positive.
z**(-83/35)
Simplify (o*o**2*o**(-7/4))**(1/18) assuming o is positive.
o**(5/72)
Simplify (i*(i/i**(-3))/i)/((i**(-7)*i)/i)*i**(-7)/i*i**3*i assuming i is positive.
i**7
Simplify (x/(x/((x**(2/89)*x)/x)))**(8/11) assuming x is positive.
x**(16/979)
Simplify ((v**(1/6))**(-13))**(3/11) assuming v is positive.
v**(-13/22)
Simplify b**(-20)*b*b**(-17) assuming b is positive.
b**(-36)
Simplify ((s**4/s)/(s/((s/s**(-5/2))/s)*s))/(s**(2/5))**(-43) assuming s is positive.
s**(207/10)
Simplify ((t**1)**6)**(2/23) assuming t is positive.
t**(12/23)
Simplify (y**(2/9)/y**(-1))**(11/3) assuming y is positive.
y**(121/27)
Simplify (s*s*s/s**(-1/5)*s*s/s**1)/(s*s*s**(-1/2))**(-43) assuming s is positive.
s**(687/10)
Simplify (c/((c*c*c*c**(-2/25)*c)/c))/(c**(2/41)/c*c) assuming c is positive.
c**(-2018/1025)
Simplify ((m**(-2/13)/m)**(-33))**(3/4) assuming m is positive.
m**(1485/52)
Simplify g**(-3/8)*g**32*g assuming g is positive.
g**(261/8)
Simplify (z/(z/(z/(z*z**(-10/3)))))/z**19 assuming z is positive.
z**(-47/3)
Simplify (o**(1/2)/o)**49 assuming o is positive.
o**(-49/2)
Simplify (o*o**(-4/5))/(o**(2/39)*o) assuming o is positive.
o**(-166/195)
Simplify (k**4/k*k*k**7)**(9/2) assuming k is positive.
k**(99/2)
Simplify x**(-31)*x*x/(((x/(x**(-4/7)*x))/x)/x) assuming x is positive.
x**(-193/7)
Simplify (k**(-2/9)*(k*k**(1/8))/k)**11 assuming k is positive.
k**(-77/72)
Simplify (w**5*w*w)**(2/97) assuming w is positive.
w**(14/97)
Simplify ((g**(-3/8)/g)/g*g*g**(-1)/g)/(g/(g**(3/2)/g)*g*g**(-4)*g*g) assuming g is positive.
g**(-23/8)
Simplify (m*m**(1/4)*m)/(m*m/m**(2/3)*m*m)*(m*m/(m*m**(-3))*m)/(m*((m/m**(-3/7))/m)/m) assuming m is positive.
m**(293/84)
Simplify t*t**(1/19)*t*(t*t**(-18))/t*t assuming t is positive.
t**(-284/19)
Simplify x**(-18)/x*x*x*x**(-1/39)*x assuming x is positive.
x**(-625/39)
Simplify (r*r/(r/r**5*r*r))/r*r**(-1/9)*(r*r**(-1/3))**12 assuming r is positive.
r**(98/9)
Simplify (x*x**(2/9))**(-1/7) assuming x is positive.
x**(-11/63)
Simplify ((x**14/x)/(x/(x/(x*(x*x**(-1))/x))*x))**(-6/29) assuming x is positive.
x**(-72/29)
Simplify z**(4/5)*(z*((z/(z/(z*z**(-8))))/z)/z)/z*(z**0*z)**(-5/19) assuming z is positive.
z**(-804/95)
Simplify (k*k**(-9))**(1/51) assuming k is positive.
k**(-8/51)
Simplify (l**(-13))**45 assuming l is positive.
l**(-585)
Simplify ((n*n**2)/n*n**0)/(n**(-4)*n*n/n**0) assuming n is positive.
n**4
Simplify (w**20/(((((w*w**6/w)/w)/w)/w*w)/w))**10 assuming w is positive.
w**170
Simplify r/(r*r*(r/r**(-4/11)*r*r)/r)*(((r**(-28)/r)/r)/r)/r assuming r is positive.
r**(-389/11)
Simplify (u**0)**(19/4)*(u/u**3*u)/(u*u**(-7)) assuming u is positive.
u**5
Simplify (x**3)**(-7) assuming x is positive.
x**(-21)
Simplify (v**3)**(2/9)/(v**(-1/2))**(-5/7) assuming v is positive.
v**(13/42)
Simplify ((q/(q/(q*q/(q*q**(-1)*q))))/q)**4/(q*q**(-4)*q**(-1/6)) assuming q is positive.
q**(19/6)
Simplify (d/d**(-1/14)*d**(-6)*d*d)**(-33) assuming d is positive.
d**(1353/14)
Simplify ((b*(b*b*b**(2/9)*b*b*b)/b)/b**4)/(b**(-1/3))**(3/19) assuming b is positive.
b**(218/171)
Simplify ((k*k*k**(-3/5)/k*k)**(12/11))**(1/6) assuming k is positive.
k**(14/55)
Simplify x/x**(-8/5)*(x/x**(11/5)*x)/x*x*x assuming x is positive.
x**(17/5)
Simplify (m/m**(1/3))/(m/m**6)*((m*m*m*m/m**(-2/13))/m)/m**9 assuming m is positive.
m**(-7/39)
Simplify (b*b**(-17)*b)/(b/(b/(b**9*b*b))) assuming b is positive.
b**(-26)
Simplify (a/a**(-6)*a**(-9))/(a**(2/3)/a)**(-18) assuming a is positive.
a**(-8)
Simplify b*b**(5/7)*b**(-12/11) assuming b is positive.
b**
|
{
"pile_set_name": "DM Mathematics"
}
|
w = 8 + -3. Suppose 3*d + 928 = 2*u, w*d = -5*u + 968 + 1352. What is the tens digit of u?
6
Suppose -165720 + 274794 + 1900815 = 63*a. What is the units digit of a?
3
Suppose -17 = -0*z - 3*z - 2*w, 5 = 2*z - 5*w. Suppose -i - a + 608 = -0*i, -z*a - 3060 = -5*i. What is the hundreds digit of i?
6
Let f(z) = 3*z + 4. Let s be f(-1). What is the hundreds digit of ((-1)/s)/(1/(-237))?
2
Let v be (17 - 37)*1/(-5). Suppose -4*g + 1397 = 4*w - 431, 0 = 3*g + v*w - 1369. What is the units digit of g?
9
Suppose -3*p + m + 9032 = 0, 3014 = 587*p - 586*p - m. What is the tens digit of p?
0
Let q(y) = y**2 + 15*y + 11. Suppose 0 = x - 5, -2*x + 6*x = -2*p + 176. Suppose 2*g - 32 = -p. What is the units digit of q(g)?
5
Let x(z) = z**2 + 3*z. Let m(k) = 35*k**2 + 4*k - 2. Let o(h) = m(h) - x(h). What is the units digit of o(2)?
6
Suppose -9*g - 60 = -24*g. Suppose 0 = j - 3 - g. Suppose 33 + j = 4*z. What is the tens digit of z?
1
Let q(u) = -40*u**3 - 2*u**2 - 2*u + 1. Let s be q(-2). Suppose 2*l = s - 79. Let k = 32 + l. What is the hundreds digit of k?
1
Suppose 8*j + j = 54. Let r(i) = 25*i**2 + 10*i - 73. What is the hundreds digit of r(j)?
8
Let h be 2342/(-10) - (-5)/25. Let a be (22/(-12))/(-1) + (-39)/h. Suppose -a*s + 4*s = 88. What is the units digit of s?
4
Let d(n) be the first derivative of -n**4/4 + 13*n**3/3 - 12*n + 25. What is the units digit of d(9)?
2
Suppose 0 = -d - 4*m + 1914, -9642 = -5*d + 3*m + m. Suppose 24*l + d = 14166. What is the units digit of l?
0
Suppose -75 + 69 = -z, 0 = j + 2*z - 5091. What is the hundreds digit of j?
0
Let m be 2/5*(-4 + 6 + 3). Let w be m + (-2 - 4) - -39. Let u = w - 17. What is the tens digit of u?
1
Let m(f) = -1305*f - 5707. What is the hundreds digit of m(-11)?
6
Let u be -6 + (-4 - 86)/(-3). Let i(p) = p**2 - 17*p + 20. What is the hundreds digit of i(u)?
1
Let d(f) be the second derivative of 7*f**4/6 - 8*f**3/3 - 7*f**2/2 - 10*f + 7. What is the tens digit of d(5)?
6
Let p(v) = -28328*v + 1947. What is the units digit of p(-2)?
3
Let v = -14992 + 32511. What is the units digit of v?
9
Let x(h) = 3463*h + 4285. What is the hundreds digit of x(2)?
2
Let i(x) = 4*x + 25. Let h be i(-6). Let p be -5*-33*h/5. What is the tens digit of 2156/p + (-1)/3?
6
Let k(m) = 29*m**2 - 26*m - 401. What is the tens digit of k(-10)?
5
Let n(h) = 5*h - 9. Let k(w) = -1. Let j(s) = k(s) + n(s). Let q be j(9). What is the units digit of (-1233)/(-15) + (-7)/q?
2
Suppose -3*y + 1045 + 320 = 0. Suppose 4*p = 3*d - 0*p - 269, -5*d + 5*p + y = 0. What is the units digit of d?
5
Let u be (-2880)/10*(-33)/6. Suppose -10*z = 8*z - u. What is the units digit of z?
8
Let s(i) = i**3 + i**2 - 15*i - 35. Let k = -158 - -166. What is the hundreds digit of s(k)?
4
Suppose c = 2*q + 9822, -4*q - 5979 = -3*c + 23487. What is the tens digit of c?
2
Suppose c - 2*x = 19, 0 = 2*c + 3*c + 5*x - 20. Suppose 3*z = m - 44, -2*m + 107 = 4*z + c. What is the units digit of m?
7
Let a(n) = 412*n**2 - 5*n + 23. What is the thousands digit of a(-6)?
4
Suppose -i = 2*i - 90. Suppose -2*d - 2*d = -21*d. Suppose d = -5*j + 2*j + i. What is the units digit of j?
0
Let f = 9254 + 11840. What is the hundreds digit of f?
0
Let d(o) = -7*o**2 + 15*o - 11. Let b(m) = -13*m**2 + 30*m - 23. Let j = -39 - -28. Let y(x) = j*d(x) + 6*b(x). What is the tens digit of y(12)?
1
Suppose -4*j + 31 = 11, j - 3 = -2*v. What is the units digit of (v - 1 - -6)*(-837)/(-12)?
9
Let f(c) = -c**3 + 46*c**2 + 8*c + 71. What is the thousands digit of f(40)?
9
Let n = -310 + 907. Suppose -10*q = -4*q - 18. Suppose p + 248 = t + 53, -q*t - p + n = 0. What is the tens digit of t?
9
Suppose 22*t + 4*u - 37108 = 17*t, -5*u = -t + 7410. What is the hundreds digit of t?
4
What is the tens digit of ((2*14)/(-2))/(8*(-10)/50200)?
8
Let i(g) = 42*g**3 - g**2 - g + 1. Let n be i(1). Suppose -39*y = -n*y. Suppose y = 4*v + 125 - 981. What is the tens digit of v?
1
Suppose 9*b = 7*b + 636. Suppose 2*c + n = 3*n - 358, -5*c - 891 = -4*n. Let p = b + c. What is the units digit of p?
3
Let k = 734 - 726. Suppose 11*d + 5*a = k*d + 1580, -5*a - 1070 = -2*d. What is the units digit of d?
0
Let t(j) = 32*j - 142. Let z be t(9). Let r(v) = -15*v - 4. Let m be r(6). Let a = m + z. What is the units digit of a?
2
What is the units digit of 77/(-14)*(-17970 + 32)?
9
Let g = -72136 + 109799. What is the units digit of g?
3
Let j(w) = 5*w - 13. Let c be j(4). Suppose 0*t = -c*t + 294. What is the tens digit of ((-63)/t)/(3/(-64))?
3
Let g be 4/(2/1) - 2. Suppose g = o - 3*o. Suppose 2*c - 28 = -p + 28, 5*c - 5*p - 140 = o. What is the units digit of c?
8
Let l(p) = p**2 + 36*p - 88. Let y be l(-39). What is the hundreds digit of 0 - -385 - (-25 + y)?
3
Let v(i) = -65*i - 32. Let s(a) = -456*a - 225. Let z(y) = 4*s(y) - 27*v(y). Let d be z(-5). Let m = d - 178. What is the units digit of m?
1
Suppose 1076128 = 77*r - 362078. What is the thousands digit of r?
8
Suppose 173069 + 246117 = 34*w. What is the units digit of w?
9
Suppose 6 - 15 = o. Let g be -1*(-3)/o*(1 - -110). What is the hundreds digit of 12*(3/(-12) + 0)*g?
1
Let b(x) = 2*x**3 + 77*x**2 - 35*x - 101. What is the thousands digit of b(-37)?
5
Suppose 0 = -83*h + 85*h + 6170. Let y = -1598 - h. What is the thousands digit of y?
1
Let t = 925 - 1380. Let n = t - -1442. What is the units digit of n?
7
Let z(s) be the first derivative of -s**4 - 11*s**3/3 + 3*s**2/2 + 9*s + 54. What is the tens digit of z(-6)?
5
Suppose -5*k + 173 - 133 = 0. What is the units digit of (-2)/(7/((-5292)/k))?
9
Suppose 754*x - 11659475 = 5398267. What is the ten thousands digit of x?
2
Let w be (9 + 3/(-1))*(-112)/(-42). Suppose -w*o = -41*o + 7950. What is the units digit of o?
8
Let r = -416 - -434. Suppose r*v - 2*v - 6816 = 0. What is the tens digit of v?
2
Let p = 3337 - 4754. Let s = -916 - p. What is the hundreds digit of s?
5
Let y(f) = 101*f + 4. Let l be y(4). What is the hundreds digit of ((-86)/3)/(2 - 832/l)?
7
Suppose 5002 = -5*z + 2*d, -2*d + 4*d + 2012 = -2*z. What is the units digit of (-1)/(((-6)/z)/(-1))?
7
Let d = -27 - -27. Suppose 0 = -d*u + 5*u. Suppose u*z + z = 58. What is the tens digit of z?
5
Let f(t) = -24*t + 2. Suppose 2*y - 1 = 5. Suppose 4*a = -5*r - 34 + 11, -16 = r - y*a. What is the hundreds digit of f(r)?
1
Let q(a) = -3*a**2 - a + 28. Let u be q(0). Let y = u + 559. What is the units digit of y?
7
Let v(j) = 5*j + 20. Let n(p) = p**3 - 17*p**2 - p + 13. Let i be n(17). Let t be v(i). Suppose -5*r + t*r = -140. What is the tens digit of r?
2
Suppose 53 = -a + 57. Suppose -a*r + 99 = -1173. What is the tens digit of r?
1
Let v(x) = -x**3 + 8*x**2 - 10*x. Let h be v(5). Let d be h/15*(-177)/(-1). Suppose -5*o = -d - 15. What is the units digit of o?
2
Let y(a) = a**2 - 3*a - 4 + 11*a - 2*a**2 - 4*a + 9*a. Let c be 2/(-4) - 42/(-4). What is the tens digit of y(c)?
2
Let x(k) = -2*k**3 + 10*k**2 + 5*k - 25. Let v be x(5). Suppose u - 573 - 634 = v. What is the tens digit of u?
0
Suppose 19 + 16 = y - 2*j, -5*j - 23 = -y. Let q = y - 44. What is the units digit of q - (-4 - (137 + -4))?
6
Let w be 0 - (-1)/(-2)*(-19 + 19). Suppose 7*h - 522 - 297 = w. What is the tens digit of h?
1
Let y(c) = -c**3 - 4*c**2 + 2. Let w(p) = -p**3 - 3*p**2 + 2. Let v(a) = -3*w(a) + 4*y(a). Let b = 41 - 48. What is the units digit of v(b)?
2
Let b(a) = 8*a**2 - a + 26. Let z(i) = -4*i**2 - 13. Let j(v) = 4*b(v) + 7*z(v). Let x be j(4). Let w = 24 + x. What is the units digit of w?
5
What is the hundreds digit of 6495*(-13)/(975/(-30))?
5
Suppose 5*q = g + 3*g - 1438, -2*g - 6 = 0. Let t = -275 - q. What is the units digit of t?
5
Suppose 11*b - 175430 - 101234 + 51868 = 0. What is the units digit of b?
6
Let x = 379 + -377. Suppose 4*k - x*k = 8, -6*j + 3968 = -4*k. What is the hundreds digit of j?
6
Let d = 17691 - 3503. What is the units digit of d?
8
Suppose -8*x = -5847 - 18153. What is the hundreds digit of x?
0
Suppose -16*o - 2*z = -21*o + 5110, 1030 = o - 2*z. What is the hundreds digit of (-945)/10*o/(-119)?
8
Let b = 2588 + -1212. Let d be (-7)/(105/(-48))*(-35 + 0). What is the units digit of (-4)/14 - b/d?
2
Let o be (-32)/(-208) - 100/(-26). What is the units digit of 6929/13 - 5/(5/o)?
9
Suppose -m + 907 = 2*g, -m = g + m -
|
{
"pile_set_name": "DM Mathematics"
}
|
3 to the nearest ten.
-28440
What is 22580.5075 rounded to 0 decimal places?
22581
Round 668941.32 to the nearest 100000.
700000
What is 0.00000078422974 rounded to seven dps?
0.0000008
What is 0.007090275709 rounded to 3 dps?
0.007
Round -172175.54 to the nearest 1000.
-172000
What is 6008954.7 rounded to the nearest one million?
6000000
What is 248.9808194 rounded to the nearest 10?
250
What is -0.265819511 rounded to 5 decimal places?
-0.26582
What is -140.1025357 rounded to 1 dp?
-140.1
Round 3942999.11 to the nearest one million.
4000000
Round -0.15060563 to three dps.
-0.151
What is 0.0002140239189 rounded to 5 decimal places?
0.00021
Round -761836889 to the nearest one million.
-762000000
Round 15609719.66 to the nearest one million.
16000000
What is -11.2204984 rounded to three decimal places?
-11.22
What is 0.7620978377 rounded to 2 dps?
0.76
What is 1.627599366 rounded to two decimal places?
1.63
What is -83910.0366 rounded to the nearest ten thousand?
-80000
What is 135.186794 rounded to the nearest integer?
135
What is -1390941720 rounded to the nearest 100000?
-1390900000
What is -0.000000452727898 rounded to 7 dps?
-0.0000005
What is -0.0046695013 rounded to three decimal places?
-0.005
Round -0.0006334711982 to four dps.
-0.0006
What is 8.81133027 rounded to 4 decimal places?
8.8113
Round -0.0010553411779 to five decimal places.
-0.00106
What is 1.10448248 rounded to two dps?
1.1
Round 2876805.874 to the nearest ten thousand.
2880000
What is 0.000154219731 rounded to seven dps?
0.0001542
What is 1998928.786 rounded to the nearest one hundred thousand?
2000000
Round 12022.2919 to the nearest one hundred.
12000
What is 1422.2503 rounded to one dp?
1422.3
What is 46642.2652 rounded to the nearest 10000?
50000
What is -0.159362886 rounded to two dps?
-0.16
Round 3.938403904 to 0 dps.
4
What is -0.006029968724 rounded to three dps?
-0.006
What is -11892578.9 rounded to the nearest 100000?
-11900000
What is 19618277.821 rounded to the nearest one million?
20000000
What is 0.0023284555 rounded to five dps?
0.00233
What is -37966434.8 rounded to the nearest 10000?
-37970000
What is 17.0360354 rounded to 4 dps?
17.036
Round 0.0002768822061 to seven decimal places.
0.0002769
What is -60.148731 rounded to the nearest 10?
-60
Round -184.17677 to 1 dp.
-184.2
Round -90.907545 to 2 dps.
-90.91
Round 1.14663716 to two decimal places.
1.15
What is -91366430 rounded to the nearest 100000?
-91400000
Round 0.09210700108 to 6 decimal places.
0.092107
Round 92949514.1 to the nearest one thousand.
92950000
Round 0.0000035982882 to six decimal places.
0.000004
Round 906.897884 to the nearest 10.
910
Round -7672500 to the nearest 1000000.
-8000000
What is -0.001146435756 rounded to 6 dps?
-0.001146
Round -0.0000092082756 to 7 dps.
-0.0000092
Round -25255.36263 to 0 dps.
-25255
Round -0.2022057729 to two dps.
-0.2
Round 6333.0995 to the nearest one thousand.
6000
What is -0.00000195164133 rounded to six dps?
-0.000002
What is -13111.8033 rounded to the nearest 100?
-13100
Round 0.0075825426 to three decimal places.
0.008
Round -1181.76781 to the nearest 10.
-1180
Round -129928.784 to the nearest 10000.
-130000
What is -0.00046459769 rounded to four dps?
-0.0005
Round 0.000571551396 to 4 decimal places.
0.0006
What is -9818.3765 rounded to the nearest integer?
-9818
Round -128.7428773 to 0 dps.
-129
What is 248757.9702 rounded to the nearest 10?
248760
Round -0.3968732307 to 4 dps.
-0.3969
What is -0.616898726 rounded to one dp?
-0.6
Round -2045.321 to the nearest ten.
-2050
Round 75550.6016 to 0 decimal places.
75551
What is 1026.074884 rounded to two decimal places?
1026.07
Round -9.070917681 to three dps.
-9.071
Round -6.70096286 to three dps.
-6.701
What is -1.066683066 rounded to four dps?
-1.0667
What is 0.0000005924705 rounded to seven dps?
0.0000006
Round -131957071 to the nearest ten thousand.
-131960000
Round -79.311364 to 1 dp.
-79.3
Round -0.00253024372 to four decimal places.
-0.0025
Round 1159560.04 to the nearest 100.
1159600
What is -3257.0645 rounded to the nearest ten?
-3260
What is 0.00003175716622 rounded to six decimal places?
0.000032
Round -66.2759263 to the nearest integer.
-66
Round 0.08149183121 to 2 dps.
0.08
Round -10305865300 to the nearest 1000000.
-10306000000
What is 18.963212 rounded to 1 decimal place?
19
What is 3204804.77 rounded to the nearest 10000?
3200000
Round 21932.3289 to the nearest one thousand.
22000
What is 930330132 rounded to the nearest one million?
930000000
What is 3503355430 rounded to the nearest one hundred thousand?
3503400000
What is -112.7594 rounded to the nearest 10?
-110
Round -0.03442744537 to three dps.
-0.034
Round -0.000454367253 to seven decimal places.
-0.0004544
What is -27170.413 rounded to the nearest one hundred?
-27200
Round 0.340064723 to 2 decimal places.
0.34
What is 0.0061040167 rounded to 5 decimal places?
0.0061
Round 0.000047119979 to 6 dps.
0.000047
Round 17790.397 to the nearest one hundred.
17800
Round 897295857 to the nearest one hundred thousand.
897300000
What is 6001.536397 rounded to the nearest 10?
6000
What is 14755.69802 rounded to 0 decimal places?
14756
Round -30.71203244 to two dps.
-30.71
Round 7894416.1 to the nearest 1000.
7894000
What is -60161.081 rounded to the nearest one thousand?
-60000
What is 1141.255572 rounded to the nearest 100?
1100
What is -0.00000267842373 rounded to six decimal places?
-0.000003
What is 1.225615514 rounded to 2 decimal places?
1.23
Round -3.580683034 to four dps.
-3.5807
Round 2.7319332 to the nearest ten.
0
What is -1.13403978 rounded to three decimal places?
-1.134
What is 11142407.8 rounded to the nearest one million?
11000000
What is 2062848.655 rounded to the nearest 100000?
2100000
What is -8680805840 rounded to the nearest 100000?
-8680800000
Round 82839.858 to the nearest 100.
82800
What is 0.00592871913 rounded to 4 decimal places?
0.0059
What is 0.0016675138 rounded to 6 dps?
0.001668
What is 50441349120 rounded to the nearest 1000000?
50441000000
Round -0.401097194 to 2 dps.
-0.4
What is 24927.8301 rounded to the nearest 100?
24900
What is 33589.94229 rounded to the nearest 1000?
34000
Round 359579.2999 to the nearest 1000.
360000
What is -0.00445955444 rounded to 6 dps?
-0.00446
Round 0.0092295405 to three decimal places.
0.009
What is 8.3071849 rounded to the nearest integer?
8
Round -1.417112605 to 2 dps.
-1.42
What is -3080178480 rounded to the nearest one million?
-3080000000
What is -0.0000005979379209 rounded to 7 decimal places?
-0.0000006
What is 0.2060671916 rounded to 2 decimal places?
0.21
Round -0.000200562436 to five dps.
-0.0002
What is -0.0001649554407 rounded to five decimal places?
-0.00016
What is 4702.68348 rounded to the nearest one thousand?
5000
What is -40213606.9 rounded to the nearest 100000?
-40200000
What is -16767.44422 rounded to the nearest 10000?
-20000
Round -21376.82592 to the nearest one hundred.
-21400
What is 4165800.25 rounded to the nearest 100?
4165800
What is -460958.17 rounded to the nearest 100?
-461000
What is -16447.93 rounded to the nearest 100?
-16400
Round -0.27700292 to 2 dps.
-0.28
What is 0.0799850895 rounded to 3 dps?
0.08
Round -0.25327783 to one dp.
-0.3
What is 769.52855 rounded to zero dps?
770
What is 438.170196 rounded to the nearest one hundred?
400
Round -0.0000144065272 to six decimal places.
-0.000014
What is -0.378600889 rounded to 2 dps?
-0.38
What is -918.17381 rounded to 1 dp?
-918.2
What is 3272354.4 rounded to the nearest one hundred thousand?
3300000
What is 139.085149 rounded to 1 decimal place?
139.1
Round -2124187420 to the nearest one million.
-2124000000
What is -4222087270 rounded to the nearest 100000?
-4222100000
What is 677.766628 rounded to the nearest ten?
680
What is -0.000000748334126 rounded to seven decimal places?
-0.0000007
Round 26135.97347 to the nearest 100.
26100
What is 216.23368 rounded to the nearest integer?
216
Round 1239.5910605 to the nearest ten.
1240
What is 76.25567886 rounded to the nearest ten?
80
What is -0.7765327 rounded to zero decimal places?
-1
Round -1140877748 to the nearest one million.
-1141000000
What is 16.49194074 rounded to zero decimal places?
16
Round -0.4556453 to four decimal places.
-0.4556
Rou
|
{
"pile_set_name": "DM Mathematics"
}
|
2?
False
Suppose -3*m = -m - 28. Let z = -12 + m. Suppose -4*a + 136 = -k + 5*k, -z*a = 4*k - 144. Does 19 divide k?
True
Let l(y) be the first derivative of y**4/12 - y**3/6 + 21*y**2/2 - 4*y - 3. Let u(r) be the first derivative of l(r). Does 21 divide u(0)?
True
Let i = 886 + -888. Let f(x) = -3*x**3 - 2*x - x**3 - 1 + x**3 - 2*x**2. Does 3 divide f(i)?
False
Let o(h) = -h**2 + 5*h - 3. Let s be o(3). Does 19 divide (3/(-3))/(s/(-57))?
True
Let f = -36 + 37. Does 8 divide 38 - 23 - (f - 2)?
True
Let z(k) = -524*k**3 + 5*k**2 + 10*k + 7. Does 13 divide z(-2)?
True
Does 121 divide 188/470*(6655 + 0)?
True
Suppose 2*x + 0*k - 4 = 4*k, 5*k - 1 = x. Suppose -2*o + 480 = 5*m, -3*m + 262 = -0*m - x*o. Does 25 divide m?
False
Let u be 0/(9/3) - 2. Let a(y) = y**3 + 4*y**2 - 3. Let r be a(u). Suppose 116 = 2*m + 4*s, -r*m = -m - 3*s - 188. Is m a multiple of 11?
False
Let g(q) be the first derivative of 11/2*q**2 + 1/3*q**3 + 1 - 12*q. Does 7 divide g(-13)?
True
Let q(a) = a**3 + 5*a**2 - 7*a - 3. Let s be q(-6). Suppose p = s*p - 74. Is 37 a factor of p?
True
Let v(u) be the first derivative of -16*u**2 + 22*u - 4. Does 38 divide v(-10)?
True
Let x(i) = -10*i + 14. Let z be x(22). Let y = -106 - z. Is 25 a factor of y?
True
Suppose -3*v = 0, 0*v = 5*t - 2*v + 155. Is t/(-3) + (-8)/24 a multiple of 3?
False
Let t be -3 - 1*(-4 + -1). Suppose -t*x + 5*x = 69. Does 20 divide x?
False
Is 13 a factor of 51*2*(8 + -4 + 0)?
False
Does 12 divide (-41 + -19)*(1 - (3 + -1))?
True
Suppose -88*t + 20281 + 66751 = 0. Is t a multiple of 25?
False
Let b = -1 + 2. Let h = -6 + b. Let d(q) = -2*q**3 - 6*q**2 - q. Is 35 a factor of d(h)?
True
Suppose 4*q + 8 = 0, 5*k - q - 3066 - 1861 = 0. Is k a multiple of 53?
False
Let h(t) = -2*t - 9. Let f be h(-5). Let y be (-1 + f)*(-12 - -13). Suppose y = 4*u - 296 + 68. Does 17 divide u?
False
Is (-1 - -11) + 277 + -17 a multiple of 2?
True
Suppose 2*d - 3*w - 59 = 0, 26 = 2*d + 2*w - 28. Let j = d - -40. Let t = j + -42. Does 26 divide t?
True
Suppose -14*g = -18*g - k + 537, -5*k + 120 = g. Is g a multiple of 63?
False
Let o(j) = 21*j - 21. Let p(w) = 20*w - 22. Let m(a) = -4*o(a) + 5*p(a). Does 41 divide m(7)?
False
Let s = 686 - 312. Does 11 divide s?
True
Is 14 a factor of (-35)/15*(-142 - (-3)/3)?
False
Let w be (-152)/28 - 3/(-7). Let t(b) = -b - 4. Let m be t(w). Is ((-1)/m)/(2/(-64)) a multiple of 8?
True
Suppose 2*m = -0 - 4. Let x be m - 60/(-2 - -6). Let q = x - -37. Does 10 divide q?
True
Let t = -36 - -96. Suppose b = 5*q + t, 3*q + 80 = 2*b + q. Is b a multiple of 7?
True
Suppose 0 = -52*o + 39*o + 1885. Does 29 divide o?
True
Does 89 divide ((-27)/5 - 1)*(-26 + -179)?
False
Is 17 a factor of (1 + (-1 - -17))/(222/4662)?
True
Let m(o) = -o**2 + 76*o - 209. Is m(63) a multiple of 29?
False
Let z(q) = 6 + 6*q - 7 + 0 + 9. Let v(j) = j**2 - 6*j + 4. Let l be v(6). Is z(l) a multiple of 17?
False
Let s(h) = -3*h**2 + 171. Does 19 divide s(0)?
True
Let j(s) = 10*s + 6*s**2 - 5*s + s**3 - 3 + 0*s**3 + 2*s**2. Let m be j(-7). Suppose -4*o = -p + 19, 3 + m = p - 5*o. Is p a multiple of 12?
False
Let y be (-12)/(-10)*80/(-24). Let g = 1 - y. Suppose o - 3*m = -8, -g*m + 0*m = 5*o - 60. Is 3 a factor of o?
False
Let r(t) = -80*t - 101. Is r(-5) a multiple of 23?
True
Let z(x) = -152*x - 28. Is 57 a factor of z(-3)?
False
Let b be (72/5)/(12/90). Suppose 2*t + 3*j - 67 = 0, 3*t + b = 6*t + 3*j. Suppose -5*y + 117 = 2*c, y + 0*c = 4*c + t. Is y a multiple of 5?
True
Let y(g) = -g**3 + 25*g**2 - 25*g + 12. Is 122 a factor of y(18)?
True
Suppose -4*v = 83 - 163. Is 2 a factor of (0 - -1)*v - (-34 - -37)?
False
Let m(q) be the second derivative of -q**8/672 + q**7/2520 + q**5/120 + q**4/3 - 9*q. Let n(c) be the third derivative of m(c). Is n(-2) a multiple of 22?
False
Suppose -871 = 5*c + 34. Let p = -69 - c. Does 16 divide p?
True
Is 19 a factor of (6 - -53)/(2/38)?
True
Let u(k) = 6*k**2 + 11*k - 14. Suppose -w - 4*w = 45. Let a be u(w). Suppose a = 5*c - n - n, -5*c = n - 376. Does 25 divide c?
True
Let g be 3/(-2)*(-12)/(-18). Let p be (39/(-12))/(g/12). Suppose -p = -5*k + 46. Is 17 a factor of k?
True
Suppose -43*d = -38286 + 2897. Is 16 a factor of d?
False
Let r(d) be the second derivative of 1/20*d**5 - 7*d + 1/3*d**3 + 0 + 0*d**2 + 1/12*d**4. Is 4 a factor of r(2)?
True
Let l(n) = 3*n**2 - 12*n + 2. Let k be l(4). Is (320/16)/(1/k) a multiple of 10?
True
Suppose 8*l + 588 = 29*l. Is l a multiple of 2?
True
Let t(m) = m**3 + 5*m**2 - m - 3. Let q be t(-5). Is 42 - ((-1 - q) + 1) a multiple of 11?
True
Let f = -304 - -180. Let x be 4*(-4 - f/(-16)). Let h = x + 67. Is 7 a factor of h?
False
Let n(k) = -4006*k + 45. Is 106 a factor of n(-1)?
False
Let q = 1151 + -232. Is 75 a factor of q?
False
Let u be (-50)/(7/((-42)/4)). Suppose 0 = 5*i - 2*i - u. Suppose -4*j - i = -9*j. Is 2 a factor of j?
False
Let d(k) = k**3 - k**2 - 5*k + 2. Let u be d(5). Suppose 3*r - u = 70. Let t = r - 29. Does 20 divide t?
True
Let v be 7/(21/12) + 1. Let n = v + 39. Does 22 divide n?
True
Suppose 0 = -5*a - 4 + 39. Let s = a - -10. Does 4 divide s?
False
Does 86 divide 5 - 5/(-3 - 3858/(-1287))?
True
Let j be (-2 + 12)/(0 + 2). Let c = 0 + j. Does 10 divide ((-2)/c)/((-5)/300)?
False
Suppose 0 = q - 4*q - 5*f - 14, -5 = 2*q - f. Is 12 a factor of (q/((-75)/(-580)))/(4/(-10))?
False
Let a(h) = -4*h**3 + 4*h**2 - 8*h - 20. Does 28 divide a(-3)?
False
Let z(k) = -k**3 - 9*k**2 - 36*k - 16. Is z(-9) a multiple of 26?
False
Suppose 4*w = 52 + 668. Is 18 a factor of w?
True
Let k(l) = -4*l + 2. Let j be k(3). Let g(u) = -7*u + 14. Is g(j) a multiple of 12?
True
Let v(z) = -z**2 - 12*z + 2. Let g be v(-12). Suppose 0 = g*m + 2*o - o - 65, 0 = 3*o + 3. Does 8 divide m?
False
Let b(r) = -24*r - 150. Let t be b(-6). Let d(i) = -3*i - 2. Let p be d(-6). Is ((-225)/t)/(12/p) a multiple of 13?
False
Let m be -1 + 0 + (0 - -3). Suppose m*j = -j + 5*x - 365, -2*x = -4*j - 510. Is j/(-4) + 5/(-10) a multiple of 17?
False
Let t be (-198)/(-3) - (-4 + 2). Suppose 4*w - 4 - t = 0. Let m = w + -6. Is 8 a factor of m?
False
Let f = 4 + -2. Let a = -4 - f. Let l(z) = -z + 6. Is l(a) a multiple of 12?
True
Suppose -3*g - 14 = -10*g. Suppose -u - 7*s + 23 = -2*s, 3*s = g*u - 46. Does 23 divide u?
True
Let l(j) = -5*j - 3. Let f be l(-1). Suppose 3*i - 79 = 2*a, 4*i + f*a - 105 = 5*a. Is 7 a factor of i?
False
Let m(q) = 2*q**3 - 5*q**2 + 4*q + 2. Let y(n) = 3*n**2 + 1. Suppose 0*b + 5 = -5*b. Let w be y(b). Is 22 a factor of m(w)?
True
Suppose -2*g - 1 = -7. Suppose -3*h = -5*f + 29, g*f - 5*h - 24 = 3. Suppose -9*q + 195 = -f*q. Is q a multiple of 13?
True
Suppose p = -4*m + 1657, 0 = 10*m - 11*m - 3*p + 406. Does 47 divide m?
False
Suppose 2*s + f = 980, 13*f - 500 = -s + 10*f. Is s a multiple of 38?
False
Let o = 9 - 20. Does 5 divide (o + -1)*(-5)/2?
True
Suppose -5*w + 19 = 4. Suppose -10 = -w*h - 1. Suppose -3*s - 3*p + 168 = 0, 0 = 5*p - h*p - 8. Is s a multiple of 26?
True
Does 45 divide (-5)/(5/(-844)) + -111 + 119?
False
Does 14 divide -12 - -9 - (-324 + -1)?
True
Let q(y) = -y**3 + 3*y**2 - y + 5. Suppose 3*r - 7 = 2. Let u be q(r). Suppose u*f = 5*f - 333. Does 37 divide f?
True
Let l(c) = 89*c**2 + c - 1. Let x be l(1). Let a = -14 + x. Suppose a = 4*o - 225. Is o a multiple of 15?
True
Let d(g) = -2 + 4*g**3 + 21*g - 10*g - 2*g**3 - 13*g**2 - 3*g**3. Is 12 a factor of d(-14)?
False
Let m be (1 - 0)*(105 - -4). Suppose -o + m = d, -4*o - o + 5*d = -545. Let i = 184 - o. Is i a multiple of 22?
False
Let o(g) = 15*g + 9. Let b be o(2). Suppose 0 = -9*w + 597 - b. Does 13 divide w?
False
Let f = -12 - -8. Let b = f - -9. Suppose 0 = -b*x - 2 - 3, -3*t + 19 = 5*x. Is t a multiple of 4?
True
Suppose 4*a - 19115 = -3*b - 5515, -a = 5*b - 3400. Is a a multiple of 34?
True
Suppose 0 = 4*q + 21 - 65. Is 11 a factor of q?
True
Suppose -t - 2*b = -0*t - 41, 41 = t - 4*b. Is 5 a factor of t?
False
Does 30 divide 1802/4 - ((-231)/22 + 11)?
True
Suppose 0*q + 4*q = -256. Let d be 1/3*-3 - q. Let k = d - 41. Is 11 a factor of k?
True
Let t = 67 + -39. Let p be (-6)/21 - (-988)/t. Let j = 75 - p. Does 14 divide j?
False
Let m = 142 + 272. Is 18 a factor of m?
True
Let c = 23 + 1. Suppose -b = b - c. Is b a multiple of 3?
True
Let z(c) = c + 14. Let k be (-
|
{
"pile_set_name": "DM Mathematics"
}
|
- 9*l - 95
What is the i'th term of -80, -149, -218, -287, -356, -425?
-69*i - 11
What is the b'th term of -62, -7, 168, 523, 1118, 2013, 3268?
10*b**3 - 15*b - 57
What is the z'th term of -1006, -1007, -1008?
-z - 1005
What is the r'th term of 323, 321, 319?
-2*r + 325
What is the n'th term of 2, 11, 24, 41?
2*n**2 + 3*n - 3
What is the q'th term of 782, 785, 788, 791?
3*q + 779
What is the k'th term of -74, -110, -178, -284, -434, -634?
-k**3 - 10*k**2 + k - 64
What is the i'th term of 441, 411, 381, 351, 321, 291?
-30*i + 471
What is the p'th term of 16, 43, 98, 193, 340, 551, 838, 1213?
2*p**3 + 2*p**2 + 7*p + 5
What is the v'th term of 1392, 1436, 1472, 1494, 1496, 1472, 1416?
-v**3 + 2*v**2 + 45*v + 1346
What is the n'th term of 701, 700, 691, 668, 625, 556?
-n**3 + 2*n**2 + 700
What is the j'th term of 256, 264, 270, 274?
-j**2 + 11*j + 246
What is the x'th term of -44, -75, -90, -89?
8*x**2 - 55*x + 3
What is the g'th term of -118, -624, -1474, -2674, -4230, -6148, -8434, -11094?
-g**3 - 166*g**2 - g + 50
What is the x'th term of -2249, -2281, -2311, -2339, -2365, -2389?
x**2 - 35*x - 2215
What is the w'th term of -66, -63, -60, -57, -54?
3*w - 69
What is the t'th term of 156, 162, 168, 174?
6*t + 150
What is the q'th term of -13, -16, -21, -28, -37?
-q**2 - 12
What is the t'th term of 180, 165, 142, 105, 48, -35?
-t**3 + 2*t**2 - 14*t + 193
What is the y'th term of 65, 130, 267, 500, 853, 1350?
4*y**3 + 12*y**2 + y + 48
What is the r'th term of 186, 372, 558, 744, 930?
186*r
What is the c'th term of -93, -102, -113, -126, -141, -158, -177?
-c**2 - 6*c - 86
What is the n'th term of -3140, -3142, -3144, -3146, -3148, -3150?
-2*n - 3138
What is the b'th term of 123, 131, 143, 159, 179, 203, 231?
2*b**2 + 2*b + 119
What is the o'th term of -102, -100, -100, -102?
-o**2 + 5*o - 106
What is the m'th term of -392, -391, -390, -389, -388, -387?
m - 393
What is the b'th term of 153, 320, 497, 690, 905, 1148, 1425?
b**3 - b**2 + 163*b - 10
What is the r'th term of 101, 109, 121, 137, 157?
2*r**2 + 2*r + 97
What is the l'th term of 29, 32, 43, 68, 113, 184?
l**3 - 2*l**2 + 2*l + 28
What is the n'th term of 398, 396, 394?
-2*n + 400
What is the h'th term of -1033, -2058, -3083, -4108, -5133, -6158?
-1025*h - 8
What is the j'th term of -1098, -1100, -1104, -1110?
-j**2 + j - 1098
What is the k'th term of -34, -63, -92?
-29*k - 5
What is the q'th term of 220, 439, 658, 877, 1096, 1315?
219*q + 1
What is the f'th term of 28, 37, 52, 73, 100?
3*f**2 + 25
What is the m'th term of 484, 956, 1422, 1882, 2336, 2784?
-3*m**2 + 481*m + 6
What is the c'th term of -79, -91, -117, -163, -235?
-c**3 - c**2 - 2*c - 75
What is the q'th term of -1378, -1380, -1382, -1384, -1386, -1388?
-2*q - 1376
What is the j'th term of -24, -23, -14, 9, 52?
j**3 - 2*j**2 - 23
What is the k'th term of -54, -70, -94, -126, -166, -214?
-4*k**2 - 4*k - 46
What is the k'th term of 1327, 1329, 1327, 1321, 1311, 1297, 1279?
-2*k**2 + 8*k + 1321
What is the d'th term of 11, 10, 7, 2, -5?
-d**2 + 2*d + 10
What is the n'th term of 21, 46, 67, 78, 73?
-n**3 + 4*n**2 + 20*n - 2
What is the y'th term of -232, -248, -264?
-16*y - 216
What is the z'th term of 120, 238, 364, 504, 664, 850, 1068?
z**3 - 2*z**2 + 117*z + 4
What is the n'th term of 9956, 9960, 9964, 9968, 9972?
4*n + 9952
What is the l'th term of -11, -12, -11, -14, -27, -56, -107?
-l**3 + 7*l**2 - 15*l - 2
What is the f'th term of 655, 1345, 2035, 2725, 3415, 4105?
690*f - 35
What is the k'th term of 36, -14, -96, -210, -356?
-16*k**2 - 2*k + 54
What is the v'th term of 101, 372, 811, 1418, 2193, 3136?
84*v**2 + 19*v - 2
What is the x'th term of -53, -210, -473, -842?
-53*x**2 + 2*x - 2
What is the w'th term of -51, -89, -147, -237, -371, -561, -819, -1157?
-2*w**3 + 2*w**2 - 30*w - 21
What is the y'th term of -89, -82, -71, -56, -37?
2*y**2 + y - 92
What is the f'th term of -57, -62, -77, -108, -161, -242, -357?
-f**3 + f**2 - f - 56
What is the g'th term of -65, -66, -59, -38, 3, 70, 169?
g**3 - 2*g**2 - 2*g - 62
What is the x'th term of 3, 24, 57, 102, 159, 228?
6*x**2 + 3*x - 6
What is the w'th term of 195, 391, 587?
196*w - 1
What is the t'th term of 287, 550, 787, 986, 1135, 1222?
-2*t**3 - t**2 + 280*t + 10
What is the f'th term of 9, 55, 131, 237, 373, 539, 735?
15*f**2 + f - 7
What is the s'th term of -1251, -2498, -3755, -5028, -6323, -7646, -9003, -10400?
-s**3 + s**2 - 1243*s - 8
What is the v'th term of -13, -62, -197, -460, -893, -1538?
-7*v**3 - v**2 + 3*v - 8
What is the f'th term of 183, 363, 547, 735, 927?
2*f**2 + 174*f + 7
What is the v'th term of -6592, -13185, -19778, -26371, -32964?
-6593*v + 1
What is the d'th term of -206, -77, 138, 439?
43*d**2 - 249
What is the c'th term of -145, -265, -385, -505, -625?
-120*c - 25
What is the r'th term of 227, 295, 363, 431?
68*r + 159
What is the l'th term of -23, -41, -69, -113, -179, -273, -401?
-l**3 + l**2 - 14*l - 9
What is the s'th term of 32, 36, 42, 50?
s**2 + s + 30
What is the c'th term of 159, 196, 221, 228, 211?
-c**3 + 44*c + 116
What is the o'th term of 6, 11, 16, 21, 26?
5*o + 1
What is the s'th term of 366, 721, 1068, 1401, 1714, 2001?
-s**3 + 2*s**2 + 356*s + 9
What is the n'th term of 435, 865, 1285, 1689, 2071, 2425, 2745, 3025?
-n**3 + n**2 + 434*n + 1
What is the w'th term of -83, -133, -165, -173, -151, -93, 7?
w**3 + 3*w**2 - 66*w - 21
What is the z'th term of 57, 123, 199, 279, 357, 427, 483?
-z**3 + 11*z**2 + 40*z + 7
What is the g'th term of 15178, 30359, 45540, 60721, 75902, 91083?
15181*g - 3
What is the n'th term of -497, -926, -1345, -1748, -2129, -2482, -2801?
n**3 - n**2 - 433*n - 64
What is the a'th term of -382, -391, -414, -457, -526, -627?
-a**3 - a**2 + a - 381
What is the j'th term of -89, -193, -297, -401?
-104*j + 15
What is the u'th term of -275, -283, -291?
-8*u - 267
What is the v'th term of -26, -44, -66, -92, -122, -156, -194?
-2*v**2 - 12*v - 12
What is the p'th term of 18, 20, 24, 30, 38, 48?
p**2 - p + 18
What is the l'th term of 49, 82, 115?
33*l + 16
What is the t'th term of -4, 43, 122, 233?
16*t**2 - t - 19
What is the n'th term of -258, -1047, -2364, -4209, -6582, -9483, -12912?
-264*n**2 + 3*n + 3
What is the d'th term of -58, -252, -568, -1000, -1542?
d**3 - 67*d**2 + 8
What is the g'th term of 154, 318, 482?
164*g - 10
What is the z'th term of 596, 1191, 1786, 2381, 2976, 3571?
595*z + 1
What is the w'th term of 0, 45, 126, 249, 420, 645, 930, 1281?
w**3 + 12*w**2 + 2*w - 15
What is the w'th term of 181, 172, 163, 154, 145?
-9*w + 190
What is the f'th term of 2079, 4153, 6225, 8295, 10363, 12429, 14493?
-f**2 + 2077*f + 3
What is the v'th term of 177, 680, 1517, 2688, 4193?
167*v**2 + 2*v + 8
What is the o'th term of 12, 16, 32, 66, 124, 212, 336?
o**3 - 3*o + 14
What is the k'th term of 28, 43, 56, 67, 76, 83, 88?
-k**2 + 18*k + 11
What is the t'th term of -68, -218, -546, -1142, -2096?
-15*t**3 + t**2 - 48*t - 6
What is the w'th term of 102, 92, 66, 18, -58, -168?
-w**3 - 2*w**2 + 3*w + 102
What is the m'th term of 548, 2192, 4932, 8768, 13700, 19728?
548*m**2
What is the a'th term of 21, 25, 27, 21, 1, -39, -105, -203?
-a**3 + 5*a**2 - 4*a + 21
What is the r'th term of -1210, -2406, -3604, -4804, -6006, -7210, -8416?
-r**2 - 1193*r - 16
What is the l'th term of -2457, -4925, -7393?
-2468*l + 11
What is the z'th term of -1, -18, -45, -88, -153, -246, -373?
-z**3 + z**2 - 13*z + 12
What is the u'th term of -3455, -3456, -3457?
-u - 3454
What is the i'th term of 16, 17, 20, 25, 32, 41, 52?
i**2 - 2*i + 17
What is the r'th term of 24, 67, 144, 261, 424, 639, 912, 1249?
r**3 + 11*r**2 + 3*r + 9
What is the c'th term of 12, 49, 114, 207, 328, 477, 654?
14*c**2 - 5*c + 3
What is the j'th term of -41, -25, -9?
16*j - 57
What is the v'th term of -207, -407, -607, -807?
-200*v - 7
What is the m'th term of -61, -41, -21, -7, -5?
-m**3 + 6*m**2 + 9*m - 75
What is the z'th term of -493, -491, -489, -487, -485, -483?
2*z - 495
What is the w'th term of 107, 124, 153, 200, 271?
w**3 + 10*w + 96
What is the c'th term of -42, -11, 22, 57, 94, 133, 174?
c**2 + 28*c - 71
What is the k'th term of -103, -195, -277, -343, -387?
k**3 - k**2 - 96*k - 7
What is the m'th term of -336, -671, -1004, -1335, -1664, -1991, -2316?
m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
s 9141324 to the power of 1/4, to the nearest integer?
55
What is 1706810 to the power of 1/2, to the nearest integer?
1306
What is the square root of 419858 to the nearest integer?
648
What is 305435 to the power of 1/3, to the nearest integer?
67
What is the square root of 10381859 to the nearest integer?
3222
What is the eighth root of 903618 to the nearest integer?
6
What is the ninth root of 2032488 to the nearest integer?
5
What is the seventh root of 158565 to the nearest integer?
6
What is the square root of 142605 to the nearest integer?
378
What is the seventh root of 123724 to the nearest integer?
5
What is the square root of 1502792 to the nearest integer?
1226
What is 713930 to the power of 1/2, to the nearest integer?
845
What is 1577049 to the power of 1/7, to the nearest integer?
8
What is 206233 to the power of 1/7, to the nearest integer?
6
What is the sixth root of 6781536 to the nearest integer?
14
What is 138593 to the power of 1/2, to the nearest integer?
372
What is 17517054 to the power of 1/2, to the nearest integer?
4185
What is the third root of 7790312 to the nearest integer?
198
What is 1160433 to the power of 1/2, to the nearest integer?
1077
What is 2000977 to the power of 1/2, to the nearest integer?
1415
What is 3050079 to the power of 1/2, to the nearest integer?
1746
What is 2327667 to the power of 1/3, to the nearest integer?
133
What is 7271838 to the power of 1/6, to the nearest integer?
14
What is the third root of 11929239 to the nearest integer?
228
What is 13006468 to the power of 1/2, to the nearest integer?
3606
What is the ninth root of 6213453 to the nearest integer?
6
What is the square root of 916073 to the nearest integer?
957
What is the cube root of 17226996 to the nearest integer?
258
What is 281773 to the power of 1/4, to the nearest integer?
23
What is 11345973 to the power of 1/2, to the nearest integer?
3368
What is the third root of 744865 to the nearest integer?
91
What is 1157516 to the power of 1/4, to the nearest integer?
33
What is 5454172 to the power of 1/5, to the nearest integer?
22
What is 4634656 to the power of 1/9, to the nearest integer?
6
What is the square root of 21258358 to the nearest integer?
4611
What is 20599 to the power of 1/4, to the nearest integer?
12
What is the tenth root of 383404 to the nearest integer?
4
What is the square root of 16027822 to the nearest integer?
4003
What is 467439 to the power of 1/2, to the nearest integer?
684
What is the third root of 6458952 to the nearest integer?
186
What is the third root of 1767000 to the nearest integer?
121
What is the ninth root of 4669276 to the nearest integer?
6
What is the square root of 1358591 to the nearest integer?
1166
What is 8378750 to the power of 1/2, to the nearest integer?
2895
What is 262731 to the power of 1/7, to the nearest integer?
6
What is the third root of 382679 to the nearest integer?
73
What is the square root of 614204 to the nearest integer?
784
What is the cube root of 43064903 to the nearest integer?
351
What is 19507282 to the power of 1/6, to the nearest integer?
16
What is 1030988 to the power of 1/2, to the nearest integer?
1015
What is the tenth root of 58585 to the nearest integer?
3
What is the square root of 3022695 to the nearest integer?
1739
What is 334070 to the power of 1/10, to the nearest integer?
4
What is 36599223 to the power of 1/3, to the nearest integer?
332
What is the square root of 360468 to the nearest integer?
600
What is 1112405 to the power of 1/2, to the nearest integer?
1055
What is 4890658 to the power of 1/4, to the nearest integer?
47
What is 17843239 to the power of 1/2, to the nearest integer?
4224
What is the third root of 108551 to the nearest integer?
48
What is the cube root of 59498 to the nearest integer?
39
What is 5893990 to the power of 1/3, to the nearest integer?
181
What is 6208680 to the power of 1/2, to the nearest integer?
2492
What is the square root of 958139 to the nearest integer?
979
What is the seventh root of 2406729 to the nearest integer?
8
What is the cube root of 7200247 to the nearest integer?
193
What is the cube root of 171839 to the nearest integer?
56
What is the fourth root of 2966553 to the nearest integer?
42
What is the fourth root of 126781 to the nearest integer?
19
What is 260524 to the power of 1/2, to the nearest integer?
510
What is the third root of 11038297 to the nearest integer?
223
What is the third root of 575944 to the nearest integer?
83
What is 340638 to the power of 1/2, to the nearest integer?
584
What is 1072603 to the power of 1/3, to the nearest integer?
102
What is the sixth root of 4926277 to the nearest integer?
13
What is the square root of 2136976 to the nearest integer?
1462
What is 801783 to the power of 1/2, to the nearest integer?
895
What is the cube root of 895251 to the nearest integer?
96
What is the cube root of 4071019 to the nearest integer?
160
What is the sixth root of 2083839 to the nearest integer?
11
What is 3390889 to the power of 1/4, to the nearest integer?
43
What is the third root of 1213013 to the nearest integer?
107
What is the third root of 423519 to the nearest integer?
75
What is the cube root of 554048 to the nearest integer?
82
What is the square root of 2388746 to the nearest integer?
1546
What is 312832 to the power of 1/9, to the nearest integer?
4
What is 13487544 to the power of 1/5, to the nearest integer?
27
What is 1619933 to the power of 1/3, to the nearest integer?
117
What is the square root of 798635 to the nearest integer?
894
What is 14610496 to the power of 1/2, to the nearest integer?
3822
What is 408313 to the power of 1/5, to the nearest integer?
13
What is the square root of 60707 to the nearest integer?
246
What is 633707 to the power of 1/4, to the nearest integer?
28
What is 312639 to the power of 1/2, to the nearest integer?
559
What is the third root of 17483205 to the nearest integer?
260
What is the fifth root of 2410447 to the nearest integer?
19
What is 16198563 to the power of 1/6, to the nearest integer?
16
What is 121313 to the power of 1/2, to the nearest integer?
348
What is 932456 to the power of 1/2, to the nearest integer?
966
What is the fourth root of 63889 to the nearest integer?
16
What is the third root of 850753 to the nearest integer?
95
What is the third root of 3225877 to the nearest integer?
148
What is the eighth root of 432125 to the nearest integer?
5
What is 699184 to the power of 1/7, to the nearest integer?
7
What is the fourth root of 829398 to the nearest integer?
30
What is the cube root of 1628881 to the nearest integer?
118
What is the sixth root of 3080842 to the nearest integer?
12
What is the cube root of 221091 to the nearest integer?
60
What is the fifth root of 28052647 to the nearest integer?
31
What is 6994761 to the power of 1/2, to the nearest integer?
2645
What is the tenth root of 943091 to the nearest integer?
4
What is the fourth root of 57858 to the nearest integer?
16
What is 12645640 to the power of 1/3, to the nearest integer?
233
What is the square root of 1284344 to the nearest integer?
1133
What is 513353 to the power of 1/2, to the nearest integer?
716
What is 15616899 to the power of 1/2, to the nearest integer?
3952
What is 27504916 to the power of 1/2, to the nearest integer?
5245
What is the third root of 1925431 to the nearest integer?
124
What is 27166715 to the power of 1/3, to the nearest integer?
301
What is 4177802 to the power of 1/3, to the nearest integer?
161
What is 789044 to the power of 1/7, to the nearest integer?
7
What is 27684531 to the power of 1/7, to the nearest integer?
12
What is 25445 to the power of 1/6, to the nearest integer?
5
What is the cube root of 6264806 to the nearest integer?
184
What is the square root of 799 to the nearest integer?
28
What is 8375484 to the power of 1/2, to the nearest integer?
2894
What is the tenth root of 6438840 to the nearest integer?
5
What is 358999 to the power of 1/2, to the nearest integer?
599
What is the cube root of 564616 to the nearest integer?
83
What is 190200 to the power of 1/9, to the nearest integer?
4
What is 1222468 to the power of 1/8, to the nearest integer?
6
What is the seventh root of 1396043
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{
"pile_set_name": "DM Mathematics"
}
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46*h - 1. Let n(u) = -2*a(u) + 11*v(u). List the prime factors of n(1).
2, 7, 37
Let w(c) = c**3 - 8*c**2 - 11. Let y be w(8). Let f(v) be the second derivative of -7*v**3/3 + 15*v**2 - 192*v. What are the prime factors of f(y)?
2, 23
Let b be 9568/156*6/4. Let c be (-11)/4 + 3/(-12). Let h = b - c. List the prime factors of h.
5, 19
Suppose 657*n + 87710 = 659*n. What are the prime factors of n?
5, 7, 179
What are the prime factors of (-5 - 1)*8/6*18344/(-64)?
2293
Let y = -70887 - -123964. What are the prime factors of y?
53077
Suppose 14*j + 12*j = 208728. List the prime factors of j.
2, 3, 223
Suppose -2*n + 7*n = -5*c + 8100, 7*n = -5*c + 11350. What are the prime factors of n?
5, 13
Let v(q) = 2*q**3 + 14*q**2 + 17*q + 52. Let y be v(-6). What are the prime factors of 490 - 0/(-1) - (y + -26)?
2, 13, 19
Suppose 5*h = -3*b + 28533, 18996 = 2*b + 6*h - 7*h. List the prime factors of b.
3, 3167
Suppose i - 1763 = 2*m, 3*m = -3*i + 1564 + 3680. List the prime factors of i.
1753
Suppose -2*p + 4 = 5*q - 1, 0 = 3*q - 5*p - 34. Suppose 27 - q = 8*s. Suppose -s*z - 2 = -14. List the prime factors of z.
2
Let m = 29792 + -4683. List the prime factors of m.
7, 17, 211
Let j(b) = -8716*b - 9257. What are the prime factors of j(-6)?
193, 223
Let i(q) = -16*q**3 - 5*q**2 + 5*q + 12. Suppose 2*b + 22 = -b + 2*h, -28 = 2*b - 4*h. What are the prime factors of i(b)?
2, 3, 13
Suppose 2700 = 19*v - 14*v. Let x = v + -320. What are the prime factors of x?
2, 5, 11
Let w = 7317 - -6482. List the prime factors of w.
13799
Suppose -7*n - 6*n + 9997 = 0. Let i = n - 449. What are the prime factors of i?
2, 5
Suppose 3*w - 2*k - 18288 = 0, -23*w + 24*w + 4*k - 6082 = 0. List the prime factors of w.
2, 11, 277
Suppose -x + 14920 = -3*h, 24*h - 44716 = -3*x + 22*h. List the prime factors of x.
2, 3727
What are the prime factors of (-3)/(-2) + 48134/4?
5, 29, 83
Let h = -33898 - -59560. What are the prime factors of h?
2, 3, 7, 13, 47
Let r(f) = -31*f**3 + 10*f**2 + 45*f + 184. What are the prime factors of r(-5)?
2, 1021
Suppose -5*i = 3*r - 192, -2*i = r - i - 66. Suppose -59 = -5*l - r. List the prime factors of (166/(-5))/(l/5).
83
List the prime factors of 7/6 - 426712/(-48).
17, 523
Let y = 1 + 2. Suppose -y*n - 6 = -0*n. What are the prime factors of 28 + (2 - (n + 3))/1?
29
Suppose 73799 = 4*g - 3*a, 0 = -438*g + 442*g + 3*a - 73841. What are the prime factors of g?
5, 3691
Let s be 0/(-27) + 1*4. Let c be 564/15 - s/(-10). Suppose -d = -p + c, -2*d + 187 = 4*p + d. What are the prime factors of p?
43
Let q = -424 + -232. What are the prime factors of (q/(-4))/(-1)*(-3)/3?
2, 41
Let f = 11 - -9. Suppose 12*n - 7*n = f. List the prime factors of n/(51/48 - 1).
2
Suppose r - d = -0*d + 24, 57 = 3*r + 2*d. Let n be (6/(-7))/((-3)/r). Suppose -3*h - 282 = -n*h. What are the prime factors of h?
2, 47
Let q be (-8)/(-6)*(3266 + 31). Suppose t - 1119 = -5*p, 2*t - 6*t + q = 4*p. What are the prime factors of t?
2, 547
Suppose -2*t + 2*c + 27 = t, 0 = 5*t - 5*c - 50. Suppose 52 = -5*h + t. Let q = 11 - h. List the prime factors of q.
2, 5
Let v = -44187 + 73942. What are the prime factors of v?
5, 11, 541
Let i(s) = -s**2 - 1. Let w be i(-2). Let l be 650/w - (8 - 4). Let y = 208 + l. What are the prime factors of y?
2, 37
Let j(g) = -g**3 + 16*g**2 - 2*g - 5. Let c be j(16). Let a = -46 - c. What are the prime factors of ((-2)/(-1))/((-6)/a)?
3
Let w(a) = -7 - 78*a - 4 - 703*a + 1. What are the prime factors of w(-1)?
3, 257
Let w(o) = 3*o**2 - 3*o. Suppose 2*b = k + 5, 1 = -5*b + 5*k + 21. Let r be b*2*33/(-22). What are the prime factors of w(r)?
2, 3
Let f be (28/14)/(2/(-18)*-1). Suppose f*v - 4*h + 976 = 22*v, -3*v + 724 = -5*h. What are the prime factors of v?
3
Let f = -172 - -169. What are the prime factors of f - ((-1716)/2 + -7)?
2, 431
Let v = -25 + 76. Let h = v - 114. Let n = 142 + h. What are the prime factors of n?
79
Suppose -4*c = -2*j + j, 0 = 2*c. Suppose j*h + 285 = 3*h. Let u = h - 7. What are the prime factors of u?
2, 11
Let u(i) = 141*i - 20. Let o(m) = -m**3 + 3*m**2 + 14*m - 16. Let d be o(5). Let k be u(d). Let p = -272 + k. List the prime factors of p.
2, 17
What are the prime factors of 1592540/55 - ((-42)/88 - 27/(-36))?
5, 5791
Let q be 30*145*(-12)/(-180). Let t(m) = 117*m**2 + 3*m - 3. Let d be t(2). Let s = d - q. List the prime factors of s.
181
List the prime factors of 320/(-35) - -10 - 186735/(-21).
8893
Suppose -96*j + 108*j = 39264. Suppose -2712 = -22*p + j. What are the prime factors of p?
2, 17
Let q(p) = 52*p**2 - 6*p + 6. Let r = 60 + -48. Let l be ((-16)/r)/(2/(-3)). What are the prime factors of q(l)?
2, 101
Suppose 12 = 4*w, w - 7668 = -4*n + 511. What are the prime factors of n?
2, 7, 73
Let y(w) = -107*w + 27. Let v(d) = d + 1. Let q(r) = 2*v(r) + y(r). Let t be q(-7). Suppose -24*x + t = -20*x. What are the prime factors of x?
191
What are the prime factors of 184388/(-32)*(-6 - 22/11)?
31, 1487
Suppose -4*k - 5*f = -3680, 3680 = 4*k - 0*f - f. Suppose 0 = -7*a + 6*a + 3*t + k, 4*t = 4*a - 3664. List the prime factors of a.
2, 457
Let r(q) = -28*q - 72. Let b(p) = -27*p - 73. Let l(o) = 5*b(o) - 4*r(o). What are the prime factors of l(-9)?
2, 5, 13
Let f(k) = -2*k + 31. Let v be f(14). Suppose 5*q + a - 7 = 5, q = -v*a - 6. List the prime factors of (-538)/(-5) - (q - 34/10).
2, 3
Let j(b) be the first derivative of -6*b**2 + 46*b + 138. Let q = 30 + -42. List the prime factors of j(q).
2, 5, 19
Let m = 36 + -33. Suppose -3*x + 4*k = m*k - 16, 0 = -x - 5*k - 16. Suppose q - 722 = -4*a + 3*q, -5*a + x*q + 895 = 0. What are the prime factors of a?
3, 61
Let w = -33 + 33. Let i be 33/(-3 + 2 + w). Let p = -24 - i. What are the prime factors of p?
3
Suppose -50457 - 82486 = -14*m + 67425. What are the prime factors of m?
2, 1789
Let x(o) = 170*o + 2 - 171*o - 10*o**3 - 2*o**2 - 16*o**3. List the prime factors of x(-2).
2, 3, 17
Let q(m) = -m**3 + 27*m**2 + m + 51. Let v be q(27). Suppose 0 = 5*b - 407 - v. List the prime factors of b.
97
List the prime factors of -7 - (-1)/((-35)/(-260)) - 337976/(-28).
12071
Let d(a) = -3409*a + 5585. List the prime factors of d(-19).
2, 3, 11, 13, 41
What are the prime factors of (784626/(-10))/(-3) + 2 - (-546)/(-2730)?
2, 13, 503
Let w = -912 + 7463. List the prime factors of w.
6551
Let r(v) be the third derivative of 31*v**2 + 7/2*v**3 - 1/6*v**4 + 0*v + 0. What are the prime factors of r(-18)?
3, 31
What are the prime factors of (-1 + 4)/((1/8)/(27412/231))?
2, 89
Suppose -5*x - 25 = 0, x - 5*x = 2*k + 30. Let m be (-2 - 1) + 416/(7 + k). Let j = 367 - m. What are the prime factors of j?
2, 3
Suppose 2*f = -4*m + 182, 2*m - 2*f = 41 + 41. Suppose 4*r - m = 60. List the prime factors of r.
2, 13
Suppose -5*x - 4*n - 10747 = 0, 3*x - 5*n + 3399 = -3064. What are the prime factors of 12/21 - x/21?
103
Let u be ((-186)/(-24))/(2/8). Suppose -5*y = u - 146. Suppose -y*a + 225 = -18*a. What are the prime factors of a?
3, 5
Let c be 798/(-4) + (-13)/26. Let w = -32 - c. What are the prime factors of w?
2, 3, 7
Let f = 1 - -11. Suppose f*q + 5*q - 3162 = 0. What are the prime factors of q?
2, 3, 31
Let m = 36 + -34. Suppose 5*b - 2*u - 88 = 0, -7*b - m*u = -2*b - 72. Let g(y) = 8*y + 40. List the prime factors of g(b).
2, 3, 7
Suppose 3*c - 6*c + 7830 = 0. Suppose 5*a - c = -5*b, -5*a = 2*b + 589 - 3208. Suppose s + 4*s = a. List the prime factors of s.
3, 5, 7
Suppose 2*b - 20*s - 1 = -17*s, -5*s + 15 = 0. Suppose -1160 = -2*c - 4*d, -2*d + 7*d + 2885 = b*c. List the prime factors of c.
2, 17
Suppose -y + 441 = 15. Let q(j) = -2*j**3 + 13*j**2 - 4*j - 7. Let o be q(6). Suppose -o*k = y - 1416. List the prime factors of k.
2, 3, 11
Suppose 0*m - 28868 = -28*m. List the prime factors of m.
1031
List the prime factors of (10*5/(-30))/((-79)/1892919).
5, 7, 163
Let y(a) = -a**2 - a + 4. Let c be y(0). Let d be ((-264)/(-20))/((c/10)/2). Suppose 7*b = 5*b + d. What are the prime factors of b?
3, 11
Suppose -4*j - 78*h = -73*h - 58192, 5*j + 2*h = 72757. List the prime factors of j.
3, 7, 11
Let h(r) = 14*r**3 + 2*r**2 + 2*r - 2. Let t be h(2). List the prime factors of -6*(t/(-4) + -1).
3, 7
Suppose 0 = 4*h - 6*h. Suppose h = 87*o - 81*o - 48. Suppose 0 = 8*j + o*j - 3872. What are
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{
"pile_set_name": "DM Mathematics"
}
|
+ -10. Which is the nearest to r? (a) -5 (b) 6 (c) o
c
Let l = -83/165 - -1/330. Which is the nearest to 0? (a) l (b) -0.3 (c) 2/11 (d) 0.02
d
Let z = -2.31 - 2.69. Which is the closest to z? (a) 4 (b) -5/6 (c) 5
b
Let k = -52 + 72. Let w = 19 - k. Which is the closest to w? (a) 1 (b) -0.2 (c) -5
b
Let l be (0/7)/1 + -2*1. Which is the closest to l? (a) 0 (b) 1 (c) 3
a
Let u = -0.6 - -0.9. Let n = 0.0235 - -0.3765. What is the nearest to 1 in 11, u, n?
n
Let i = -103 - -509/5. Let n = -8 - -31/4. Which is the closest to n? (a) i (b) 4 (c) -7
a
Let a = 0.22 + -6.22. Let v = -6.2 - a. Let d = 16 + -110/7. What is the closest to d in -0.1, 2, v?
-0.1
Let x = -0.1 + -0.1. Let j(d) = d**3 + 5*d**2 - 11*d - 3. Let q be j(2). Let i be ((-2)/5)/(40/(-75)). What is the closest to q in x, 0, i?
i
Let v = 342.8 + -343. Which is the nearest to 0? (a) -1 (b) -5/2 (c) v
c
Let y be -10*(-2)/10*2. Let m be 2/y - 18/(-4). Let i = 761 - 760. Which is the closest to i? (a) m (b) 0.1 (c) -5
b
Let y = 3.05 - 0.05. Let m = 51 - 46.99. Let k = -0.01 + m. Which is the closest to 0.2? (a) k (b) y (c) -0.4
c
Let p = 2/61 - 136/427. Let m = 0 + 0.5. Let q = m + -1. What is the closest to 0.2 in -0.4, p, q?
p
Suppose -5*i + 0*i = 10. Let t = i + 4. What is the nearest to -0.2 in -2/9, t, 2/7?
-2/9
Let f(z) = z - 13. Let y be f(9). Suppose -2*t = 2*w + 6, -4*w = 2*t - 4 + 10. Which is the nearest to -1/4? (a) -1 (b) y (c) w
c
Let y = 3 + -5. Let w = -0.678 - -1.178. What is the closest to -1/6 in y, w, -1?
w
Let r(x) = -x**2 + 20*x - 3. Let t be r(20). Let h = 67/24 + -17/8. What is the nearest to h in -0.4, t, -1/5?
-1/5
Suppose 4*r + 3*r = 15*r. What is the closest to r in -15/2, -1, -2?
-1
Let h be 6/(-120)*-4 + (-1)/(-5). Which is the closest to -1? (a) h (b) -1 (c) 1 (d) 37
b
Let v = 1.816 - 1.316. Which is the nearest to -0.2? (a) 0.075 (b) v (c) 3 (d) -1/2
a
Let h = -835 + 835.06. What is the closest to -1 in h, 1, -2/11, 2/17?
-2/11
Let q = 0.4 - 0.3. Let f = -0.0053 - -0.1053. Suppose 3*t = t - 2. What is the nearest to f in q, t, -4?
q
Let o be 42/(-8) + 2/8. Let n be 0 + 6 - ((-20)/(-8) + 2). What is the closest to 1 in o, -0.5, n?
n
Let v = -1.204 - -0.204. Let w be (-9)/12 - 18/(-24). Which is the closest to -2? (a) 0.16 (b) w (c) v
c
Let z = 3.22 - 3. Let i = z + 1.48. Let k = i - 1.7. Which is the nearest to -4? (a) k (b) 2 (c) 3
a
Let t be ((-1)/1)/(2/(-4)) - -1. Let f be 0 + -1 - t/(120/(-56)). Which is the nearest to f? (a) -2/3 (b) 5 (c) 2/7
c
Let u be (3 - 5 - 17) + -1. Let r be 1*(36/u)/(-3). Which is the closest to 1? (a) 0.2 (b) -2 (c) r
c
Let g = 208 - 221. Which is the nearest to 0.1? (a) 1.2 (b) g (c) -2
a
Let r(v) = v - 19. Let y be r(17). Which is the nearest to -1/3? (a) y (b) -13 (c) 2 (d) 0.1
d
Let u(m) = -m**3 - 3*m**2 + 3*m + 2. Let c be u(-4). Let q(g) = -14*g + 9*g + 9 + c*g. Let o be q(-5). What is the closest to 0.1 in -5, 5, o?
o
Let o = 609/19 + -32. Let f = 33/95 + o. Which is the closest to 1/2? (a) -0.5 (b) -3 (c) f
c
Let g = -1.752 + -0.248. What is the nearest to g in 5/3, -5, -2?
-2
Suppose -4*j = 17 + 3. Let l = -279/4 + 2503/36. Which is the nearest to 1/4? (a) j (b) -0.2 (c) l
b
Let v(u) be the first derivative of -u**2/2 + 8*u - 5. Let a be v(0). Let s be ((-8)/(-10))/(a/(-20)). What is the nearest to 0.1 in s, 0.2, -4?
0.2
Suppose 0 = -4*a + 5*i - 19, -16 = -a + 2*a + i. Let q be -1*(a/3 + 3). What is the nearest to q in 1, -1, 3?
1
Suppose 100 = -4*j - 16*j. Which is the closest to 0.1? (a) j (b) -2/21 (c) 0.5
b
Let t be -6*((-45)/(-10))/(-9). Which is the closest to 2/7? (a) 0.5 (b) 4 (c) t
a
Let y = 33 + -173. Which is the nearest to 0.1? (a) y (b) 4 (c) -2
c
Let r = 754.2 - 754. What is the nearest to -1 in -0.4, 1/2, r, -4?
-0.4
Let u = -0.11 - 4.89. Suppose -5*s + 20 - 5 = 0. Let b = 2338/3 + -780. What is the closest to b in 1, s, u?
1
Let p = -5 - -9. Suppose 2*w + 20 = p*w. Suppose 7*r - w*r = 0. Which is the closest to -2? (a) -1/5 (b) 2/11 (c) r
a
Let h = -9.4 - -9.1. Let o = 0.18 + 0.22. Which is the closest to 1/3? (a) -4 (b) o (c) h
b
Let v = -0.085 - -0.385. What is the closest to 0.07 in 2/9, v, 5?
2/9
Suppose k - 3*h + 6 = 0, 3*h + 22 = 3*k + 2*h. Let r = -3 + k. Let o be 0 - (-5)/((-70)/r). Which is the closest to -2/5? (a) -1 (b) 1 (c) o
c
Let g = 1015 - 1015. Which is the nearest to g? (a) 16 (b) -0.5 (c) -0.3
c
Let r(u) = -u**2 + 4*u - 3. Let q be r(3). Let d = -473.2 - -473. Let v = -4 - -4.1. Which is the nearest to v? (a) q (b) -5 (c) d
a
Let w = -1/39 - -43/156. Let n = -39 - -64. Let s = n - 27. What is the nearest to s in w, -5, -0.3?
-0.3
Suppose -s + 4 = 3*g, 5*s + g + 3*g = 31. Let f = -638 - -639. What is the nearest to s in 1/9, -1, f?
f
Let a = -0.8 - -0.4. Let n = 6.5 - 6.6. Let i = -18 - -17.7. What is the nearest to 0.1 in n, i, a?
n
Let k(j) = -j**3 + 21*j**2 + 5*j - 103. Let p be k(21). What is the closest to -26 in p, -1/7, 2/7?
-1/7
Let t = 0.5567 + -0.1567. Which is the closest to -0.3? (a) -3 (b) -2 (c) 0 (d) t
c
Let a = 0.07 + 3.93. What is the closest to 5 in -0.3, -1/6, 0.2, a?
a
Let f = -21 + 14. Let l = -37/3 + 250/21. Which is the closest to 0? (a) -3 (b) l (c) f
b
Let v = 642/5 - 639/5. Which is the nearest to -6? (a) v (b) -4 (c) -0.2 (d) -3/5
b
Let d = -7.33 + 7.6. Let z = 0.17 - d. Let s be 1/(7 - 1)*4. What is the nearest to z in s, -3, -0.5?
-0.5
Let w = -492 + 492. What is the nearest to -0.1 in w, -2/17, 0.4, -2/9?
-2/17
Let m = 6 - 1. Let t = 200 - 602/3. Which is the nearest to t? (a) 2 (b) m (c) 0.2
c
Let l = 1023 - 1022.9. Let d = -17/60 - 1/20. What is the nearest to l in 5, -0.3, d?
-0.3
Let q = 413 - 1655/4. What is the closest to 1/2 in -1/3, -6/11, q, -14?
-1/3
Let k = -981 + 980. Which is the closest to k? (a) 1.7 (b) 5 (c) -0.5
c
Let g be (-1)/3 - (-30)/225. Which is the nearest to 0.2? (a) 18 (b) g (c) 4
b
Let u = -25 + 177/7. Let a = 3 - -9. Let q = 19 - a. What is the closest to u in -0.2, -4, q?
-0.2
Let z = -3 + -1. Let q = 15104 + -105730/7. Which is the closest to q? (a) -3/4 (b) z (c) -1
a
Let n = -226 - -221. Which is the nearest to 14? (a) -4 (b) -3 (c) n
b
Let f be ((-208)/(-24) + -9)*(-27)/12. Which is the nearest to 2/13? (a) -0.5 (b) f (c) -81
b
Suppose 306*n - 261 = 277*n. Which is the nearest to -0.1? (a) 2 (b) n (c) -1/2 (d) 2/3
c
Let x be 6/4*2/(-9). Let g = -23.26 - -23. Let w = -5.26 - g. What is the closest to x in -0.4, w, -4?
-0.4
Let j = -14649 + 14652. Let x be ((-4)/6)/((-3)/18). Suppose -x*i = 1 + 15. Which is the nearest to 3? (a) j (b) i (c) -5
a
Let o = -252 + 256. Which is the closest to -1? (a) o (b) -3/7 (c) -9/5
b
Let f = 86.9 - 88.9. What is the nearest to -1/3 in -1.4, 0.4, f, 3?
0.4
Let r = -181/3 + 61. Let k = 513 - 514. What is the closest to k in r, -1/2, 4?
-1/2
Let r = 1045/2 - 522. Let b = -0.24 - 0.06. What is the nearest to -2/3 in r, 0, b?
b
Let s = 0.759 + -5.759. Let j = -2.8 + 3. Which is the closest to j? (a) 2 (b) s (c) -4
a
Let h = 2/147 + -155/588. Suppose -25*p = -32*p + 7. Which is the closest to p? (a) -5/2 (b) -2/15 (c) h
b
Suppose 237*n + c = 241*n + 17, 4*n = -5*c - 11. What is the closest to 3 in 18, n, -0.3?
-0.3
Let n be ((-16)/(-40))/(2 - 1). Which is the nearest to 5? (a) 4 (b) -0.2 (c) n
a
Let f(x) = x**3 - 16*x**2 + 42*x - 38. Let n be f(13). What is the closest to -2 in -0.3, 2, n, 2/25?
-0.3
Let p = -0.1 + 0.1. Let v = 1087.1 - 1087. What is the nearest to p in -2/9, v, -3?
v
Suppose 6*v = 4*v - 4. Let t = 37617/13 - 2891. Let k = -348/143 + t. What is the nearest to k in v, -3, 0.1?
0.1
Let m = -0.776 - -0.106. Let c = -0.37 - m. What is the closest to -3 in 5, -0.2, c?
-0.2
Let m be 1/6*(-18)/4*1. What is the nearest to -3/4 in m, 0.01, -0.3?
m
Let z = 43.1 - 43. Which is the nearest to 2? (a) 0 (b) z (c) 0.3 (d) -3
c
Let p = -0.0506 - 24.6494. Let z = p - -25. Which is the nearest to 0? (a) 1/5 (b) 3 (c) z
a
Let r(v) = 4*v**3 - 20 - 17*v**2 + 2 - 3*v**3 + 17*v. Let j be r(16). Which is the nearest to -0.1? (a) 1/8 (b) j (c) -3
a
Let c = 4.446 - 8.446. Let j = -0.2 + 0. Let g = 0.1 - j. What is the closest to 2 in g, 3, c?
3
Let y be (-12)/
|
{
"pile_set_name": "DM Mathematics"
}
|
+ y**4/8 - 5*y**3/6 + y**2. Let r(z) = -2*z**2 - z + 2. Suppose -m = -8 + 3. Give m*r(u) + 2*h(u).
-2*u**2 + u
Let p(n) = -n**2 + 51*n. Let w(c) = -c**2 + 26*c. Give -3*p(f) + 5*w(f).
-2*f**2 - 23*f
Let z(w) = 13*w**2 - 74658*w**3 - 3*w + 3*w + 74643*w**3. Let k(p) = -6*p**3 + 6*p**2 - 3*p**3 + 2*p**3. Give 13*k(j) - 6*z(j).
-j**3
Let z(w) = 3*w + 17. Let c(m) = m + 6. Determine 17*c(q) - 6*z(q).
-q
Let f(m) = -9*m**3 - 4. Let r(n) = -19*n**3 - 8. What is -5*f(k) + 2*r(k)?
7*k**3 + 4
Let y(u) = 3*u**2 + 5*u. Let v(g) = 3*g**2 + 6*g. Let k = 20 + -26. Give k*y(t) + 5*v(t).
-3*t**2
Let a(n) = -n - 6. Let p(c) = 4*c + 17. Give -17*a(h) - 6*p(h).
-7*h
Let f be ((-33)/22)/(0 - (-1)/4). Let q(l) = -4*l + 7. Let u(v) = 5*v - 8. Give f*u(r) - 7*q(r).
-2*r - 1
Let p = -34 - -40. Let n(k) = -8*k**2 + 2*k + 5. Let y(z) = 7*z**2 - 2*z - 4. Give p*n(m) + 7*y(m).
m**2 - 2*m + 2
Suppose -5*n - 4*q = -41, -3*n + 0*q = -3*q - 3. Suppose -n*o + 4 = -11. Let j(l) = o + l - 3*l - 1. Let u(w) = w**3 + 5*w - 4. Give 5*j(d) + 2*u(d).
2*d**3 + 2
Let k = 124 - 121. Let t(c) be the first derivative of -3/2*c**2 + 2*c + 2 + 1/3*c**k. Let n(x) = -x**3 + 2*x**2 - 7*x + 5. Determine -2*n(s) + 5*t(s).
2*s**3 + s**2 - s
Let c be (-7 - 1) + 3 + -2. Let u(l) = -l**3 + 6*l**2 + 10*l - 7. Let k(w) be the second derivative of w**4/6 + w**3/2 - w**2 - 7*w. Give c*k(z) + 2*u(z).
-2*z**3 - 2*z**2 - z
Let g(o) = o - 3*o - 5 - 3*o. Let j(z) = -z - 1. Let c(s) = -s**3 - 11*s**2 + 2. Let h be c(-11). Calculate h*g(i) - 11*j(i).
i + 1
Let s(k) = -3*k**3 + k**2 + 2*k. Let b be 5/10*4/3. Let c(y) be the first derivative of 0*y - y**4 + b*y**3 - 1 + y**2. Give 2*c(w) - 3*s(w).
w**3 + w**2 - 2*w
Let h(m) = -3*m. Let w(v) = -v - 2*v - 4*v + 2*v. Determine -8*h(p) + 5*w(p).
-p
Suppose 0 = -5*f - 0*f + 25. Suppose -3*d = 6, f*v + 0*d + 27 = 4*d. Let g(k) = 4*k**2 + 13*k + 13. Let a(j) = -j**2 - 4*j - 4. Give v*a(m) - 2*g(m).
-m**2 + 2*m + 2
Let y(z) = 3 + 1 + 4*z**2 - 2*z**2. Suppose -b = b + 2. Let r(u) = -3*u**2 - u. Let n be r(1). Let o(v) = -v**2 - 1. Give b*y(q) + n*o(q).
2*q**2
Let a(z) = -z. Let k = -8 - -12. Suppose -u - k = 2. Let q(l) = -5*l + 2. What is u*a(b) + q(b)?
b + 2
Let l(f) = -21*f**3 - 3*f**2. Let v(g) = -41*g**3 - 5*g**2. Give 5*l(x) - 3*v(x).
18*x**3
Suppose -4*k + 2 = -6. Let a(m) = -6*m + 3*m + m - k + m. Let i(z) = -2*z - 2. Calculate 3*a(q) - 2*i(q).
q - 2
Let d(n) = -2. Let a be (1*-7)/(1 - 2). Let f(x) = x**2 - 6*x - 9. Let h be f(a). Let o(q) = -4 + 5*q - 3*q - 3 - q. Calculate h*o(i) + 7*d(i).
-2*i
Let v(o) = -6*o**3 - 9*o**2 + 9*o + 9. Let h(d) = 3*d**3 + 4*d**2 - 4*d - 4. Let w be (16/20)/((-6)/(-15)). Suppose -1 = w*s + 17. What is s*h(f) - 4*v(f)?
-3*f**3
Let c(g) = g**2 - 2*g - 3. Let t(k) = k**2 - 3*k - 4. Suppose -2*v + 4*v - h = 22, 2*v = 5*h + 38. Suppose -v - 1 = -5*s. Calculate s*t(r) - 3*c(r).
-r**2 + 1
Let o(s) = 7*s**3 + 6*s**2. Let p(a) = 1 - 1 + 6*a**3 + 33*a**2 - 28*a**2. Calculate 5*o(q) - 6*p(q).
-q**3
Let i(w) = -7*w**2 + w + 6. Let c be -12*2/8*-2. Let r be (9 + -1)*(-3)/c. Let z(x) = -6*x**2 + x + 5. Give r*i(o) + 5*z(o).
-2*o**2 + o + 1
Let f(p) = -8*p**3 + 2*p**2 + 4*p + 4. Let b(g) = 8*g**3 - g**2 - 3*g - 3. Determine -4*b(h) - 3*f(h).
-8*h**3 - 2*h**2
Let u(q) = -9*q**3 - 4*q**2 + 7*q. Let n(k) = 26*k**3 + 11*k**2 - 20*k. Determine 6*n(w) + 17*u(w).
3*w**3 - 2*w**2 - w
Let l(s) = 9*s - 9. Let w(n) = -4*n + 5. Give -4*l(d) - 7*w(d).
-8*d + 1
Let q(y) = -10*y**2 - 7. Let v(g) = -7*g**2 - 5. Let s(k) = -8*k**2 + 2*k - 1. Let r be s(1). Let t(i) = 6*i - 37. Let c be t(7). Determine c*q(u) + r*v(u).
-u**2
Let u(k) = 3*k**2 - 3*k - 9. Let c(z) = 2*z**2 - 2*z - 5. Determine 5*c(l) - 3*u(l).
l**2 - l + 2
Let u(w) = -13*w**2 + 13*w - 2. Let p(i) = -6*i**2 + 6*i - 1. Give 5*p(b) - 2*u(b).
-4*b**2 + 4*b - 1
Let o(g) = 9*g + 19. Let f(q) = -4*q - 9. Determine -7*f(c) - 3*o(c).
c + 6
Let b(k) be the first derivative of 7*k**2/2 + 7*k + 6. Let j(m) = -6*m - 6. Let q(u) = 5*b(u) + 6*j(u). Let p(o) = 2*o**2 - 6*o - 6. Calculate -p(w) + 6*q(w).
-2*w**2
Suppose 0 = -4*f - 22 + 6. Let y(u) = 7*u**2 + 5*u - 3. Let q(h) be the third derivative of h**5/10 + h**4/6 - h**3/3 + 4*h**2. Calculate f*y(g) + 5*q(g).
2*g**2 + 2
Let w(a) = 6*a**2 - 29. Let o(q) = -q**2 - 1. Give 5*o(r) + w(r).
r**2 - 34
Let v(j) = j**3 + 1. Let b(y) be the first derivative of y**4 + 2*y**3/3 + y**2/2 + 3*y - 15. Determine -b(k) + 3*v(k).
-k**3 - 2*k**2 - k
Let x(z) = -2*z**3 - 3*z**2 - 2*z - 1. Let u(b) = -8*b**3 - 13*b**2 - 9*b - 4. Give 2*u(d) - 9*x(d).
2*d**3 + d**2 + 1
Let i(j) = -24*j + 2. Let m(y) = y. Determine -2*i(f) - 36*m(f).
12*f - 4
Let u(d) = -d. Let z(p) = 2*p. Let a(l) = 9*u(l) + 4*z(l). Let s(q) = 16*q. Calculate 20*a(g) + s(g).
-4*g
Let i(b) = -4*b + 2. Let c(f) = 2*f - 1. What is -9*c(g) - 4*i(g)?
-2*g + 1
Let b(f) = -f**2 + f. Let p(t) = 2*t**2 - t - 4. Calculate -b(v) - p(v).
-v**2 + 4
Let l(v) = -8*v - 4. Let j(q) = -4*q - 2. What is -11*j(i) + 6*l(i)?
-4*i - 2
Let v(y) = 1 + 1 + 10 - 10*y**3. Let x(s) = -s**3 + 5*s**2 + s - 1. Let w be x(5). Let l(q) = 0*q**3 + 5 + 0 - w*q**3. Calculate -12*l(i) + 5*v(i).
-2*i**3
Let u(f) = 26*f**2 + 15*f + 17. Let a(r) = 9*r**2 + 5*r + 6. Let p(n) = 17*a(n) - 6*u(n). Suppose -7*z + 35 = -0*z. Let l(j) = j**2 + 2*j. Give z*l(d) + 2*p(d).
-d**2
Let q(u) = -u**3 + u**2 - 1. Let f(y) = 5*y**3 - 3*y**2 - y - 14. Give -f(n) - 3*q(n).
-2*n**3 + n + 17
Let n be ((-20)/12 - -1)*9. Let x(r) = 3 - 2 - 2. Let l(u) be the first derivative of -u**2 + 7*u - 1. Calculate n*x(w) - l(w).
2*w - 1
Let s(h) = -2*h + 2. Let n(u) = u + 6. Let l be n(-4). Let o(w) = 2*w - 2. Let c(d) = l*s(d) + 3*o(d). Let v(m) = -6*m + 5. Determine -8*c(k) - 3*v(k).
2*k + 1
Let k(a) = 3*a + 1. Let f be k(-3). Let s(b) = 4*b**2 + 4*b - 5. Let i(h) = -6 + h**2 - 3*h**2 - 2 + 6*h + 8*h**2. What is f*s(l) + 5*i(l)?
-2*l**2 - 2*l
Let t(y) = 4*y**2 - 3*y. Let m = -53 + 49. Let i(z) = -5*z**2 + 4*z. What is m*t(o) - 3*i(o)?
-o**2
Let a(d) = -d - 10. Let m be a(-5). Let b(l) = -5*l**2 - 2*l. Suppose 0 = u - 5*u + 8. Let c(n) = 3*n**u + 3*n**2 + 4*n - 2*n. Give m*b(f) - 4*c(f).
f**2 + 2*f
Let l(b) = -4*b. Let y(z) = -1. Calculate l(c) + 3*y(c).
-4*c - 3
Let k(x) = 7*x + 3. Let j(c) = -64*c - 26. Give 6*j(b) + 52*k(b).
-20*b
Let b(w) = 22*w**2 - w + 4. Let h(q) = 33*q**2 - 2*q + 6. Determine -8*b(k) + 5*h(k).
-11*k**2 - 2*k - 2
Let a(c) = -12*c + 9. Let u(z) = 3*z - 2. Calculate 2*a(m) + 9*u(m).
3*m
Let z(i) = 6*i**3 - 2*i + 4. Let k(l) = -12*l**3 + 4*l - 7. What is 6*k(q) + 11*z(q)?
-6*q**3 + 2*q + 2
Let a(w) = 5*w**3 + 6*w**2 + 4*w. Let q(k) = -11*k**3 - 13*k**2 - 9*k. Let y = 4 - 10. Let o = y - -2. Determine o*q(l) - 9*a(l).
-l**3 - 2*l**2
Let x(d) = 10*d - 13. Let z(s) = 5*s - 7. Give -6*x(g) + 11*z(g).
-5*g + 1
Let y(r) = -27*r**2 - 6*r - 6. Let f(n) = -55*n**2 - 13*n - 13. What is 6*f(l) - 13*y(l)?
21*l**2
Let z(y) = -2*y + 3. Let t(c) = -c + 6. Let b be t(-8). Suppose 5*q + b = -3*r, -r + 4*q + 18 = -0*r. Let d(j) = 0*j + 0 + r*j - 2. What is -4*d(n) - 3*z(n)?
-2*n - 1
Let n(f) = -35*f. Let s(r) = 17*r. Determine 3*n(t) + 7*s(t).
14*t
Let a(b) = -b**2 + 7. Suppose 5*u - 5*j + 80 = 0, 3*j + 2*j = -3*u - 40. Let k = 11 + u. Let x(y) = y**2 - 4. Calculate k*a(g) - 7*x(g).
-3*g**2
Let c(o) = 20*o - 20. Let a(z) be the first derivative of 7*z**2/2 - 7*z + 4. What is -17*a(v) + 6*c(v)?
v - 1
Let d(b) = -7 + 6 + 4 + 4*b**2. Let q(c) = c**2 + 1. Determine -d(y) + 3*q(y).
-y**2
Let v(z) = -5*z**2 + 4*z + 4. Suppose 36 = -7*u + 8. Suppose 0*n + 2*n = -2. Let y(w) = w**2 - w - 1. Calculate n*v(f) + u*y(f).
f**2
Let n(i) = 27*i**2 - 4*i - 5. Let p(k) = -14*k**2 + 2*k + 3. Give -3*n(x) - 5*p(x).
-11*x**2 + 2*x
Let o(j) be the first derivative of 3*j**4/2 - 7*j**2 - 3. Let n(y) = -2*y**3 + 5*y. Determine -14*n(m) - 5*o(m).
-2*m**3
Suppose 13 = -3*p + 4. Let b(n) = -5*n**3 - 2*n**2 + 1. Let j(l) = 4*l**3 + 2*l**2 - 1. Calculate p*b(k) - 4*j(k).
-k**3 - 2*k**2 + 1
Let i(k) = -k**2 - 3*k + 1. Let z(c) = 3*c**2 + 10*c - 4. Suppose f - 1 = 6. What is f*i(l) + 2*z(l)?
-l**2 - l - 1
Let o(m) = -7*m - 6. Let j(w) = w + 1. Let c = -16 + 9. Let g(a) = a**3 + 8*a**2 + 6*a - 6. Let x be g(c). What is x*o(n) + 6*j(n)?
-n
Let i(u) = -u**3 - u + 1. Let c(b) = -13*b**3 - 6*b + 6. Calculate c(v
|
{
"pile_set_name": "DM Mathematics"
}
|
t 0.2231937 millennia to months.
2678.3244
What is 7/3 of a century in months?
2800
How many millilitres are there in 52.70294l?
52702.94
What is eighty-six thirds of a week in hours?
4816
How many millilitres are there in three fifths of a litre?
600
How many decades are there in 5.34837 months?
0.04456975
How many grams are there in one tenth of a kilogram?
100
How many years are there in 600563.5 millennia?
600563500
What is 3/10 of a litre in millilitres?
300
How many months are there in one tenth of a century?
120
What is 5.641502 centuries in months?
6769.8024
How many centimeters are there in 7555.213 micrometers?
0.7555213
How many decades are there in 245.7726 months?
2.048105
How many nanograms are there in 13.769g?
13769000000
What is 1/4 of a micrometer in nanometers?
250
What is four fifteenths of a century in months?
320
What is 3/40 of a kilometer in centimeters?
7500
What is 8.107038g in micrograms?
8107038
What is six fifths of a litre in millilitres?
1200
What is 244.7725l in millilitres?
244772.5
How many millilitres are there in 18/5 of a litre?
3600
How many kilograms are there in 64871.51 nanograms?
0.00000006487151
Convert 8.318762l to millilitres.
8318.762
Convert 3.36462nm to meters.
0.00000000336462
How many decades are there in 1.5563682 months?
0.012969735
Convert 30.4113 weeks to nanoseconds.
18392754240000000
How many decades are there in seventeen halves of a millennium?
850
How many centimeters are there in five quarters of a meter?
125
What is 1/4 of a gram in milligrams?
250
How many millilitres are there in thirteen quarters of a litre?
3250
What is twenty-one quarters of a kilogram in grams?
5250
What is four thirds of a millennium in months?
16000
Convert 0.850582 micrograms to grams.
0.000000850582
Convert 1.087292 nanoseconds to seconds.
0.000000001087292
What is 12/7 of a week in minutes?
17280
What is 15/4 of a milligram in micrograms?
3750
How many micrometers are there in 3/25 of a centimeter?
1200
How many litres are there in 71.14426 millilitres?
0.07114426
Convert 855876.1kg to tonnes.
855.8761
How many years are there in 4864.386 millennia?
4864386
What is 3/8 of a meter in millimeters?
375
How many centimeters are there in 0.9781172km?
97811.72
What is one quarter of a litre in millilitres?
250
What is 598869.5 litres in millilitres?
598869500
How many years are there in thirty-one fifths of a decade?
62
What is 21/4 of a microgram in nanograms?
5250
How many micrograms are there in five quarters of a milligram?
1250
Convert 58.5988 centuries to years.
5859.88
How many micrograms are there in 476.9408 nanograms?
0.4769408
What is 87/5 of a microgram in nanograms?
17400
Convert 3.5439g to nanograms.
3543900000
What is 7/3 of a millennium in months?
28000
What is 9.433754um in kilometers?
0.000000009433754
How many kilograms are there in 21/8 of a tonne?
2625
What is 52.03736 millilitres in litres?
0.05203736
How many millilitres are there in 25/2 of a litre?
12500
Convert 14199.96l to millilitres.
14199960
What is 87/2 of a litre in millilitres?
43500
What is 3/40 of a millimeter in nanometers?
75000
What is one tenth of a gram in micrograms?
100000
What is 61/2 of a century in years?
3050
What is 805777.6 nanograms in tonnes?
0.0000000008057776
Convert 0.514809 milligrams to tonnes.
0.000000000514809
How many meters are there in 2272.298um?
0.002272298
What is 6/25 of a kilogram in grams?
240
What is 9818.397 micrometers in meters?
0.009818397
Convert 79.55962t to kilograms.
79559.62
What is 193658.2 millennia in months?
2323898400
How many millimeters are there in 3/10 of a meter?
300
How many nanoseconds are there in thirteen fifths of a microsecond?
2600
What is twenty-nine fifths of a century in years?
580
What is 9004.188 meters in nanometers?
9004188000000
Convert 0.6001115 micrograms to grams.
0.0000006001115
How many millilitres are there in 77734.34 litres?
77734340
Convert 66.55217 weeks to days.
465.86519
Convert 66216.26 litres to millilitres.
66216260
Convert 21210.37 litres to millilitres.
21210370
What is 8817.27 micrograms in tonnes?
0.00000000881727
What is 574840.8 seconds in milliseconds?
574840800
How many centimeters are there in six fifths of a meter?
120
What is 19298.4 nanometers in kilometers?
0.0000000192984
What is 23/3 of a decade in months?
920
What is 67254.33 litres in millilitres?
67254330
How many milliseconds are there in 5/8 of a minute?
37500
How many kilograms are there in seven halves of a tonne?
3500
How many years are there in 3/25 of a century?
12
How many months are there in 1/15 of a century?
80
How many nanograms are there in 13883.57mg?
13883570000
How many hours are there in 6.877053us?
0.0000000019102925
What is 29/2 of a litre in millilitres?
14500
Convert 145.611ms to hours.
0.0000404475
What is three fifths of a centimeter in millimeters?
6
What is 17/4 of a litre in millilitres?
4250
How many millilitres are there in 5/8 of a litre?
625
What is 2648.8128 months in centuries?
2.207344
What is 1/5 of a century in years?
20
How many decades are there in 81/4 of a millennium?
2025
How many decades are there in 21/5 of a millennium?
420
How many litres are there in 2.690105 millilitres?
0.002690105
How many kilograms are there in 1037.529 grams?
1.037529
What is 5/8 of a kilogram in grams?
625
How many milligrams are there in 11/4 of a gram?
2750
How many seconds are there in 3/40 of a hour?
270
What is 59/5 of a centimeter in millimeters?
118
What is 2248.3695 months in years?
187.364125
How many decades are there in three fifths of a millennium?
60
How many millimeters are there in thirteen quarters of a meter?
3250
What is 0.6469521ng in milligrams?
0.0000006469521
What is 217522.2 meters in micrometers?
217522200000
What is 13/5 of a litre in millilitres?
2600
What is 1/30 of a millennium in months?
400
How many grams are there in fourty-five halves of a kilogram?
22500
How many nanoseconds are there in 798803.4 weeks?
483116296320000000000
What is 8.940548 days in microseconds?
772463347200
How many months are there in 5.629135 centuries?
6754.962
How many kilograms are there in 41/2 of a tonne?
20500
What is five sixths of a millennium in months?
10000
How many hours are there in 1/24 of a week?
7
How many microseconds are there in 53/5 of a millisecond?
10600
What is 4959.02 years in centuries?
49.5902
What is 6/25 of a tonne in kilograms?
240
What is eighteen fifths of a century in decades?
36
What is 0.5439147l in millilitres?
543.9147
How many milligrams are there in 12/25 of a gram?
480
How many nanograms are there in fifteen quarters of a microgram?
3750
How many millilitres are there in 923252.2l?
923252200
How many milligrams are there in 7/8 of a gram?
875
Convert 38387.24cm to nanometers.
383872400000
How many hours are there in 53233.308 milliseconds?
0.01478703
How many millilitres are there in 17/4 of a litre?
4250
How many millilitres are there in 3/10 of a litre?
300
How many litres are there in 4655.352 millilitres?
4.655352
What is one sixteenth of a kilometer in centimeters?
6250
How many nanometers are there in 3/40 of a millimeter?
75000
What is 52/5 of a meter in centimeters?
1040
How many millimeters are there in seven halves of a centimeter?
35
How many minutes are there in 1/4 of a hour?
15
What is 23801.06l in millilitres?
23801060
What is 53/5 of a millimeter in micrometers?
10600
How many minutes are there in 11/4 of a week?
27720
How many micrograms are there in 1/16 of a gram?
62500
What is 3/5 of a microgram in nanograms?
600
What is eight fifteenths of a day in seconds?
46080
How many kilograms are there in 6/5 of a tonne?
1200
What is 74/3 of a year in months?
296
What is eighteen fifths of a kilogram in grams?
3600
What is 29.96018 meters in kilometers?
0.02996018
What is 7/4 of a century in years?
175
Convert 432.9843 months to decades.
3.6082025
How many weeks are there in 10677022.02s?
17.65380625
Convert 257.1945 litres to millilitres.
257194.5
How many hours are there in 43/2 of a day?
516
How many milliseconds are there in 2/15 of a minute?
8000
How many centimeters are there in 3/5 of a kilometer?
60000
How many millilitres are there in seven quarters of a litre?
1750
How many centuries are there in 1
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{
"pile_set_name": "DM Mathematics"
}
|
Let r be 5/50*-2 - 2426/(-5). Suppose r = 5*k - 115. What is the greatest common divisor of k and 8?
8
Let s(u) = -2*u - 8. Let b be s(5). Let n be (154/33)/((-4)/b). What is the greatest common divisor of n and 126?
21
Suppose -5*z = -3*z - 4, -5*c - z + 12 = 0. What is the greatest common factor of c and 59?
1
Let d(s) = -28*s**3 - 394*s**2 - 30*s - 18. Let l be d(-14). Suppose -2*b = -100 + 40. Calculate the highest common factor of b and l.
10
Let s = 20 + -16. Suppose -15 = -3*j - 6*o + o, 0 = s*j - o - 43. What is the greatest common divisor of j and 80?
10
Let r = 572 + -477. What is the highest common divisor of 57 and r?
19
Let r be (-4)/(-10)*(-190 - 0)/2. Let j = r + 107. What is the greatest common divisor of j and 46?
23
Let m(n) be the third derivative of -n**6/120 - n**5/12 + n**4/3 + 13*n**3/6 - 8*n**2. Let a be m(-6). Calculate the greatest common divisor of 8 and a.
1
Suppose 112*o + 1638 = 119*o. What is the highest common factor of 162 and o?
18
Let u(w) = w**2 - 1 + 4*w + 12 + 4*w. Let m be u(-7). Suppose m*l + 4*k = 26 + 18, -3*k = 3. Calculate the highest common divisor of l and 36.
12
Let b = 14 + -9. Let g(n) = 2*n**2 - 79*n + 360. Let q be g(35). Calculate the highest common factor of q and b.
5
Let k be 3 - 0 - (-18)/3. What is the greatest common factor of 117 and k?
9
Let n = -12 - -17. Let i(s) = 18*s + 1. Let g be i(3). What is the greatest common divisor of n and g?
5
Let t(m) = 6*m - 5. Let h be t(6). Let r = 44 - h. What is the greatest common divisor of 143 and r?
13
Let v = -714 - -762. Calculate the highest common factor of 600 and v.
24
Let o(b) be the second derivative of b**3/2 - 16*b**2 + 14*b. Let p be o(12). Calculate the greatest common factor of p and 44.
4
Suppose 27*s = 75*s - 2208. What is the highest common factor of s and 184?
46
Let y be ((-1 - -2)*171)/(30/20). Let o = 170 - y. What is the greatest common divisor of 42 and o?
14
Let u(p) = -p**2 - 11*p - 12. Let r be u(-8). Suppose -2*v - 106 = -5*v + 2*w, 4*w + 104 = 3*v. What is the greatest common factor of v and r?
12
Let x = -17 - -39. Let p = x + -20. Suppose -86 = -p*r + 110. Calculate the highest common factor of 14 and r.
14
Let w(h) = 5*h - 1 + 1 - 6 + 5*h - h**2. Let s be w(9). Let z(k) = 9*k. Let m be z(3). What is the highest common factor of s and m?
3
Let r = -197 - -281. Let x be (0 + 4 - 1) + 9. What is the highest common factor of x and r?
12
Let p = 85 - 83. Suppose 2*x - 30 = -4*z, -z + x = p*z - 15. What is the greatest common factor of z and 12?
6
Suppose 2680 + 6014 = 42*q. Calculate the greatest common factor of q and 9.
9
Let n be 3 - (-9 - 3)/(-4). Suppose 4*l - 47 = 4*p + 157, n = 2*l + p - 102. Calculate the greatest common factor of l and 85.
17
Let h(j) = 2*j**2 - 6*j - 22. Let f be h(6). Suppose -5*x + 44 = 4*m - 26, -4*x - 2*m = -56. Calculate the highest common divisor of f and x.
14
Suppose 3*g + 3*m - 210 = 0, -5*g - m = -25 - 309. What is the greatest common divisor of 594 and g?
66
Suppose 3*g = 2*s + 171, 0*g - 5*s + 205 = 4*g. Suppose 220 = 3*b + g. Suppose 3*j = -c + 37, j - 2*c - 2 = 1. Calculate the greatest common divisor of b and j.
11
Suppose -4*j = -3*z - 232 - 60, 2*z + 223 = -3*j. Let q = z - -110. What is the highest common factor of 30 and q?
6
Let f = -120 - -220. Suppose 98 = 11*h - f. Suppose -18 - 18 = -4*j. What is the highest common factor of h and j?
9
Let g be 1 - (1386/(-7))/((-6)/(-4)). Calculate the highest common factor of g and 95.
19
Let g be 412/4 + (-4)/(-4). What is the greatest common factor of g and 364?
52
Let p(h) = 280*h**2 + 4*h. Let o be p(-1). What is the greatest common factor of o and 12?
12
Suppose -4*l - 2*q + 273 = q, -318 = -5*l + 4*q. Let n = l + -15. Let a = 72 - n. What is the highest common factor of a and 21?
21
Let y(p) = 28*p**2 + 1. Let x be y(-1). Let a = x + -20. Suppose -5*q + 49 - a = 0. Calculate the greatest common factor of 88 and q.
8
Suppose -20*y + 5687 = -9*y. What is the highest common factor of 94 and y?
47
Let r = -29 - -71. Suppose -10*w + r = -7*w. Suppose 4*i = 5*i - 35. Calculate the greatest common divisor of w and i.
7
Let o = 3119 - 2093. Let a be o/42 - 3/7. What is the highest common factor of 48 and a?
24
Suppose -5*b = -6 - 19. Suppose 3*t - 3*n = n + 71, t = -b*n + 11. Let w = t + -15. What is the highest common factor of 15 and w?
3
Let v be (-69)/(-276) - (-4646)/8. Calculate the greatest common divisor of 14 and v.
7
Let p = -71 - -93. Calculate the highest common divisor of p and 264.
22
Let w = -22 + 11. Let x(k) = k**2 - 12*k + 7. Let c be x(w). Let q = -272 + 298. Calculate the highest common factor of c and q.
26
Let m(o) = 0 + 8*o + 0 + 4*o - 6. Let a be m(8). Suppose -54 - a = -4*x. Calculate the greatest common divisor of 24 and x.
12
Suppose 4*m = 3*q - 0*q + 21, -5*m - 5*q = 0. Suppose 4*f + 0 = 24. Calculate the highest common factor of m and f.
3
Let z = 28 + 0. Calculate the greatest common factor of 63 and z.
7
Suppose 11*q + 360 = 29*q. What is the highest common factor of 120 and q?
20
Let i = 0 + 11. Suppose x - i = 8. What is the greatest common factor of x and 57?
19
Suppose -h + 6 = 1. Suppose -2*v = -5*x - 0*v + 80, -h*x + 80 = 4*v. Calculate the highest common factor of 64 and x.
16
Let c be (25 + -16)*2/((-1)/(-1)). Suppose 5*w - c - 7 = 5*x, -3*x + 9 = 0. What is the highest common factor of 72 and w?
8
Suppose 2*q - 5*a = 7*q - 35, 3*a + 9 = 3*q. Suppose 10*h - 920 = q*h. Calculate the highest common divisor of 23 and h.
23
Let y(s) = 84*s**3 + 8*s**2 - 10*s + 2. Let f be y(1). What is the greatest common divisor of 28 and f?
28
Let s be (-15)/3 - 4235/(-35). Suppose h + 5*v = 41 + 3, 0 = 2*h + 3*v - 67. What is the highest common factor of s and h?
29
Suppose 0 = -4*z - v + 67, 2*v - 4*v = 5*z - 80. Calculate the greatest common divisor of 6 and z.
6
Let c be (3 - (0 + -2))*2. Suppose -v - 16 = -c. Let q = v - -18. What is the greatest common factor of q and 132?
12
Let c(y) = -4*y - 35. Let v be c(-10). What is the greatest common divisor of 55 and v?
5
Let n = -7 + 9. Suppose -d + 0*o = o - 1, -d + 1 = -n*o. Suppose 5*l + 0*l = 25. What is the highest common divisor of l and d?
1
Suppose h + 5*w = -38, -5*h + h + 4*w = 32. Let d = h + 58. What is the greatest common divisor of 5 and d?
5
Let h = -451 - -1186. What is the greatest common factor of 30 and h?
15
Let q = -199 + 203. What is the highest common factor of q and 52?
4
Suppose -s + 5 = 5*y, -3*s = 2*y - 6 + 17. Suppose -4*j - 2 = k - 11, 45 = y*k - j. What is the greatest common divisor of 28 and k?
7
Let r(l) be the third derivative of l**5/20 + l**4/8 - l**3/2 - l**2. Let y = -305 - -307. Let h be r(y). Calculate the highest common factor of h and 105.
15
Suppose -4*b + 2457 = 9*b. Calculate the greatest common factor of b and 135.
27
Let l be (-11 - -15)/(3/18). What is the greatest common divisor of 564 and l?
12
Let j(v) = -77*v. Suppose 0 = -3*y + 7*y + 16. Let f be j(y). Let r = -173 + f. What is the greatest common divisor of 54 and r?
27
Suppose 6*t = 7 + 113. Suppose 0*k + k = -z + 54, z - 62 = -3*k. Calculate the greatest common divisor of t and z.
10
Suppose -5*b + 3*a = 2*a - 78, 0 = a - 2. Let u(k) = 15*k + 4. Let y be u(4). What is the highest common divisor of b and y?
16
Let o(q) = -q**2 + 8*q + 5. Let c be o(8). Suppose -t + c = -33. What is the highest common divisor of t and 95?
19
Let j = -163 - -649. Calculate the greatest common factor of 54 and j.
54
Let y = 383 + -357. Calculate the highest common factor of y and 104.
26
Let v = -154 - -331. Suppose 3*x = -0*x + j + 181, -v = -3*x - 3*j. Calculate the highest common factor of x and 150.
30
Suppose 2 = -2*f + 3*d, 6*d = -3*f + d + 16. Let o be f/(-1)*-1 + 1. Let j(m) = -m + 7. Let p be j(4). What is the highest common factor of p and o?
3
Let u be (-27)/5 + (-12)/(-30). Let n be (5 + -2)/(1/u). Let q = n - -31. Calculate the highest common divisor of q and 48.
16
Let g = -1516 - -3063. Let q = g + -967. Let n be (-1)/(-3) - q/(-15). What is the highest common factor of 13 and n?
13
Let b be 164 - 3 - (-1 - 1*-2). Let z = -65 + b. Calculate the highest common factor of z and 57.
19
Suppose -12*l + 326 = -250. Calculate the greatest common factor of l and 168.
24
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest ten.
480
Round 0.000185 to four decimal places.
0.0002
What is -0.269761 rounded to three dps?
-0.27
Round -18.979 to 0 dps.
-19
What is -64350 rounded to the nearest 1000?
-64000
What is 0.112679 rounded to three decimal places?
0.113
What is 0.8732 rounded to one dp?
0.9
What is 0.00001226 rounded to six dps?
0.000012
What is -0.6219 rounded to two decimal places?
-0.62
Round -213520 to the nearest 10000.
-210000
What is 631270 rounded to the nearest 10000?
630000
What is -278.5 rounded to the nearest 10?
-280
What is -0.00598 rounded to two decimal places?
-0.01
Round 0.0000004451 to seven dps.
0.0000004
What is 66.024 rounded to one decimal place?
66
What is -147960 rounded to the nearest 1000?
-148000
Round 51100 to the nearest ten thousand.
50000
What is -3.919 rounded to two decimal places?
-3.92
Round 0.000059779 to 5 decimal places.
0.00006
Round -437152 to the nearest ten thousand.
-440000
What is 278.003 rounded to the nearest integer?
278
What is 14366100 rounded to the nearest 100000?
14400000
What is 0.000004344 rounded to 5 dps?
0
What is -54460 rounded to the nearest 10000?
-50000
Round -0.001578 to four decimal places.
-0.0016
Round -0.2746 to one dp.
-0.3
What is 32.57 rounded to the nearest integer?
33
Round -2373.4 to the nearest 10.
-2370
What is 0.00001358 rounded to 6 dps?
0.000014
What is 524000 rounded to the nearest ten thousand?
520000
Round 0.0001799 to five dps.
0.00018
Round 809 to the nearest ten.
810
What is -1278 rounded to the nearest 100?
-1300
Round -13090000 to the nearest 1000000.
-13000000
Round 0.001643 to five dps.
0.00164
What is -623400 rounded to the nearest 10000?
-620000
What is 57500 rounded to the nearest ten thousand?
60000
Round 11005 to the nearest 1000.
11000
Round 0.7397 to 1 decimal place.
0.7
What is -0.4023 rounded to two dps?
-0.4
What is -42000 rounded to the nearest 100000?
0
Round 87760 to the nearest ten thousand.
90000
Round 56140 to the nearest 1000.
56000
Round 69.2225 to the nearest ten.
70
What is 0.00051956 rounded to 4 dps?
0.0005
What is -94300 rounded to the nearest ten thousand?
-90000
Round 1611040 to the nearest one hundred thousand.
1600000
Round 794000 to the nearest 10000.
790000
What is 5.331 rounded to one dp?
5.3
What is 0.002553 rounded to three decimal places?
0.003
What is 694860000 rounded to the nearest 1000000?
695000000
What is 0.000198 rounded to 6 dps?
0.000198
Round -26388 to the nearest one thousand.
-26000
What is 7980000 rounded to the nearest one hundred thousand?
8000000
Round 2360000 to the nearest one hundred thousand.
2400000
What is -0.00095451 rounded to 4 dps?
-0.001
What is 0.52 rounded to two dps?
0.52
What is 17.4 rounded to the nearest ten?
20
Round 0.0000002295 to 7 dps.
0.0000002
What is 0.126848 rounded to two dps?
0.13
Round 0.19066 to 3 decimal places.
0.191
What is -13.34 rounded to zero decimal places?
-13
Round 1100 to the nearest ten thousand.
0
What is -0.00001807 rounded to 6 decimal places?
-0.000018
What is 1096 rounded to the nearest 100?
1100
Round -0.06139 to three decimal places.
-0.061
Round 50240 to the nearest one thousand.
50000
What is 0.044127 rounded to 4 dps?
0.0441
Round 0.0001019 to 5 dps.
0.0001
Round 0.000661 to four decimal places.
0.0007
What is 0.01562 rounded to 3 decimal places?
0.016
Round 0.014013 to 4 decimal places.
0.014
Round 227398 to the nearest ten thousand.
230000
What is 53090 rounded to the nearest ten thousand?
50000
Round 51.554 to the nearest ten.
50
Round -0.114491 to two decimal places.
-0.11
What is -0.098 rounded to one decimal place?
-0.1
What is 0.000019 rounded to six decimal places?
0.000019
Round 0.040824 to 3 decimal places.
0.041
Round -43260000 to the nearest 1000000.
-43000000
What is -253.2 rounded to the nearest 10?
-250
What is 6120 rounded to the nearest one hundred?
6100
Round -0.000354 to 4 dps.
-0.0004
What is -12346.4 rounded to the nearest ten?
-12350
What is -434350 rounded to the nearest one thousand?
-434000
What is -0.000000713 rounded to seven decimal places?
-0.0000007
What is 0.000066272 rounded to six dps?
0.000066
Round -3417 to the nearest one thousand.
-3000
What is -64.9 rounded to the nearest 10?
-60
Round -381325 to the nearest one thousand.
-381000
What is -0.000001238 rounded to six decimal places?
-0.000001
What is 43557 rounded to the nearest 100?
43600
What is 0.07268 rounded to 3 decimal places?
0.073
What is 5.728 rounded to the nearest integer?
6
Round -0.000005933 to six dps.
-0.000006
What is 0.0007729 rounded to four dps?
0.0008
What is 52951 rounded to the nearest one hundred?
53000
Round -4.7091 to the nearest integer.
-5
Round 96400000 to the nearest one million.
96000000
Round 0.08133 to 2 dps.
0.08
What is 139490000 rounded to the nearest 1000000?
139000000
Round -6712.5 to the nearest one thousand.
-7000
What is 82540 rounded to the nearest one thousand?
83000
What is 406300 rounded to the nearest one hundred thousand?
400000
What is -0.0010998 rounded to four decimal places?
-0.0011
Round 940.1 to the nearest 100.
900
What is -106.58 rounded to the nearest ten?
-110
Round -1925.6 to the nearest one hundred.
-1900
Round -0.0000055844 to 6 dps.
-0.000006
What is -2.44 rounded to 2 decimal places?
-2.44
What is 0.07521 rounded to two dps?
0.08
What is -8303.3 rounded to the nearest 1000?
-8000
What is -0.1821 rounded to 2 dps?
-0.18
What is -21905000 rounded to the nearest 1000000?
-22000000
What is 42.781 rounded to one decimal place?
42.8
Round 77.08 to the nearest ten.
80
Round 407.616 to the nearest ten.
410
Round -0.000316 to 4 decimal places.
-0.0003
What is -0.13363 rounded to two dps?
-0.13
What is 3.2951 rounded to one dp?
3.3
Round 0.13 to the nearest integer.
0
Round -0.001873 to four dps.
-0.0019
Round 0.0063208 to 3 dps.
0.006
What is 452130000 rounded to the nearest 1000000?
452000000
What is 0.000001417 rounded to 7 decimal places?
0.0000014
Round -0.08868 to 2 decimal places.
-0.09
Round 0.000003496 to seven dps.
0.0000035
Round 0.000000218 to 7 dps.
0.0000002
What is 29849 rounded to the nearest 100?
29800
Round 0.0053261 to three dps.
0.005
What is 59.603 rounded to one dp?
59.6
Round 0.17529 to 1 decimal place.
0.2
What is -9.3 rounded to the nearest ten?
-10
Round 0.001521 to four decimal places.
0.0015
What is 0.04803 rounded to 2 dps?
0.05
What is -0.000017566 rounded to 6 dps?
-0.000018
Round 0.000008 to 5 dps.
0.00001
What is -1905670 rounded to the nearest one hundred thousand?
-1900000
What is 971 rounded to the nearest one hundred?
1000
Round -0.000021526 to five decimal places.
-0.00002
What is -122086 rounded to the nearest 1000?
-122000
Round -0.1036 to 3 decimal places.
-0.104
What is -612.69 rounded to the nearest 10?
-610
Round -305 to the nearest one hundred.
-300
What is -206.1 rounded to the nearest one hundred?
-200
What is 0.80225 rounded to 1 dp?
0.8
What is -262300 rounded to the nearest one thousand?
-262000
Round 1575000 to the nearest one million.
2000000
What is 0.000009728 rounded to 6 dps?
0.00001
Round -0.79345 to 1 decimal place.
-0.8
Round -102.7 to the nearest 100.
-100
Round 341140 to the nearest 1000.
341000
Round -1547.6 to the nearest 100.
-1500
What is 247686 rounded to the nearest one thousand?
248000
What is -0.000000381 rounded to seven decimal places?
-0.0000004
What is 0.0003435 rounded to 4 dps?
0.0003
Round -0.0000368 to 5 decimal places.
-0.00004
What is -0.00001077 rounded to 6 dps?
-0.000011
Round 14.817 to 1 decimal place.
14.8
Round -2122.8 to the nearest ten.
-2120
Round 5.67 to zero dps.
6
What is -0.00009765 rounded to six dps?
-0.000098
What is -27240 rounded to the nearest one thousand?
-27000
What is 21.03 rounded to the nearest integer?
21
What is 12170000 rounded to the nearest 1000000?
12000000
What is -0.000006026 rounded to 6 dps?
-0.000006
What is -0.00015027 rounded to six dps?
-0.00015
What is -1.20686 rounded to 2 decimal places?
-1.21
What is -45.282 rounded to the nearest integer?
-45
Round -268.22 to the nearest 10.
-270
What is 45012 rounded to the nearest 1000?
45000
What is -0.0010767 rounded to five decimal places?
-0.00108
Round 0.19236 to 2 dps.
0.19
Round 440800 to the nearest 10000.
440000
Round 25890000 to the nearest one million.
|
{
"pile_set_name": "DM Mathematics"
}
|
36? (a) -4 (b) 1 (c) -5
b
What is the closest to 1/21 in 3, 1/5, -12, -5?
1/5
Which is the closest to -4/49? (a) 5 (b) -3 (c) 31 (d) 0.1
d
What is the nearest to 3 in 0, 25.2, -0.4, -12?
0
Which is the closest to -1? (a) -0.3 (b) 2/311 (c) 10/3 (d) -3 (e) -3/5
e
What is the nearest to -15.38 in -2/11, -5, 4, -3?
-5
Which is the nearest to -2/5? (a) -2/9 (b) -0.1 (c) -3/2 (d) -0.44 (e) -0.4
e
Which is the closest to 0? (a) 975 (b) 5 (c) 4
c
What is the nearest to 0.0552 in -0.8, 2, 3?
-0.8
Which is the nearest to 1/4? (a) -5 (b) 4 (c) -101 (d) -1/2 (e) 1/4
e
What is the closest to 0 in 2, -231/20, -3, 6?
2
What is the nearest to -27 in 0.5, 1, 62, 0?
0
Which is the closest to -0.5? (a) 2 (b) 5 (c) 78 (d) 2/11
d
What is the closest to -1/2 in 0.15, 13, 3, -70?
0.15
What is the nearest to 0 in 1/3, -1/7, 6.9, 0.387?
-1/7
Which is the closest to -2? (a) 3/2 (b) -199 (c) 2/17 (d) -3 (e) 2/49
d
What is the closest to 57 in -4, -5/2, -1, -29, -0.4?
-0.4
What is the nearest to -1/19 in -0.4, 2/5, 39?
-0.4
What is the nearest to -1274 in -2/23, -5, -3, 0.61, 0?
-5
What is the nearest to -43177 in -29, -3, -0.3?
-29
What is the closest to -1 in 0.1, 0.2, -411?
0.1
Which is the closest to 0.2? (a) 2 (b) -14 (c) 5 (d) -3 (e) -1
e
What is the closest to -37 in 0.103, 2/3, 0.1?
0.1
What is the nearest to 0.1 in -7.6, -3, 1, 0.1?
0.1
Which is the closest to -1? (a) -2 (b) -4 (c) -714 (d) 0.1
a
What is the nearest to -0.4 in -2/3, -0.07, 753.7?
-2/3
What is the nearest to 0 in -48, 147, 1?
1
What is the nearest to -2/7 in 5, 0, 133, -7, 0.1?
0
What is the nearest to 0.3 in 1/16, -0.1, 0.9, 3?
1/16
What is the nearest to -1 in -0.03, -0.2, 0.3, -0.9?
-0.9
What is the closest to -9 in 0.13, 3/5, -4/9, -2/7, -23?
-4/9
Which is the closest to -0.07? (a) -2230 (b) -3 (c) -2/9 (d) -5
c
Which is the closest to 7/3? (a) -8/3 (b) -8 (c) -4/9 (d) -4/7 (e) -23
c
What is the closest to 2/3 in 1/3, -7, -7/5?
1/3
Which is the nearest to 1/8? (a) 0.3 (b) -2 (c) -70/3
a
Which is the nearest to 1? (a) -0.15064 (b) -0.5 (c) 1
c
What is the nearest to -2/3 in 28, 3, -0.2, 2/187?
-0.2
Which is the nearest to -14? (a) -106 (b) -2 (c) -0.4 (d) 1/7
b
Which is the nearest to -15? (a) 246 (b) -2 (c) 0.2 (d) -1
b
What is the closest to -0.91 in 2, -2, -2/87?
-2/87
Which is the nearest to 3/2? (a) 3 (b) -0.4 (c) -140 (d) 2
d
Which is the nearest to 0? (a) -2170 (b) 0.017 (c) 0 (d) -2/5
c
What is the closest to 570 in 0.03, -5, -1/5?
0.03
What is the closest to -1/7 in -321, 5, 0?
0
Which is the closest to -1/76? (a) -3 (b) 2/13 (c) -12
b
Which is the nearest to -0.1? (a) -1.0904 (b) -1/4 (c) 0
c
Which is the closest to -739? (a) 5 (b) 2/21 (c) -6/11
c
What is the closest to -1/2 in 3, 2.39, -95/2, 2/7?
2/7
Which is the closest to -4? (a) -0.4 (b) 8 (c) 1259
a
Which is the nearest to -5? (a) 4 (b) 8 (c) -4/3 (d) -2/129
c
What is the closest to -8 in 0.4, -30, -2, -60?
-2
Which is the nearest to -14? (a) 0.04 (b) 0 (c) -0.071
c
What is the nearest to -1 in -1/9, -4, 727?
-1/9
Which is the closest to 0.2? (a) -1/11 (b) 39 (c) -5 (d) -2/11 (e) -1
a
Which is the closest to 0? (a) -11/6 (b) -9 (c) 2 (d) 2/7
d
Which is the nearest to -2/5? (a) 5 (b) -34 (c) -0.6 (d) -1 (e) 21
c
Which is the nearest to 0.2? (a) 22 (b) -10/203 (c) -2/5
b
Which is the closest to -4/3? (a) 2/15 (b) -5.38 (c) -5
a
Which is the nearest to 0.1? (a) -0.12 (b) -22/19 (c) -10/3
a
Which is the nearest to 5? (a) -10.304 (b) 3 (c) 2/7 (d) -2/9
b
Which is the closest to 2/9? (a) 2.1 (b) -1 (c) -20 (d) 1
d
Which is the closest to 1? (a) 2/7 (b) 10.76 (c) 4 (d) -5
a
What is the closest to -0.06 in 5, -3.4, 98, 3/4?
3/4
Which is the nearest to 0.13? (a) 0 (b) 5/38 (c) 1/32
b
Which is the closest to -0.2? (a) -0.3 (b) 2/21 (c) 2/6805 (d) 4/9 (e) 1
a
Which is the nearest to 0? (a) -1/10 (b) 23 (c) 3
a
Which is the nearest to -3? (a) 1 (b) -4 (c) -0.1 (d) -65
b
What is the closest to -112 in 5, -3/2, 4?
-3/2
Which is the closest to -2/5? (a) 10 (b) -6 (c) -0.7 (d) -3
c
Which is the nearest to -2/9? (a) 2/5 (b) 37/5 (c) 1/4 (d) 21 (e) 0
e
Which is the nearest to 1/20? (a) -1 (b) -4 (c) -1/15
c
Which is the closest to -1/11? (a) 11 (b) -2/3 (c) -0.5 (d) -3
c
What is the nearest to 0.1 in 4, -585, -81?
4
Which is the closest to 2/7? (a) -12 (b) 0.1 (c) -4.27
b
What is the nearest to -0.1 in 2, -1/29, -2/13, -11/6?
-2/13
What is the nearest to 6 in 0, 1/8, 3, 24, -3/4?
3
Which is the nearest to -1/11? (a) -2/11 (b) 2 (c) 939
a
What is the closest to -2.6 in 0.2, -2, -3, 2?
-3
Which is the nearest to 100? (a) -19.6 (b) 0.5 (c) -1/6 (d) 1
d
What is the nearest to -0.407 in -2, -1, 0.09, 3?
0.09
What is the closest to -12 in -12, 25, 0.3, 2?
-12
Which is the closest to -6652? (a) 2/5 (b) 0.3 (c) -1/5
c
What is the nearest to -18 in -0.4, -4, 6, 10?
-4
Which is the closest to 0.08? (a) 2 (b) -13 (c) 23 (d) -1
d
Which is the nearest to -2/11? (a) 31 (b) 8/3 (c) 0.3 (d) -1 (e) 2/17
e
Which is the nearest to 1/18? (a) 0.2 (b) -0.1 (c) 0.5 (d) -3 (e) -518
a
What is the nearest to 6 in 5, 113, 0.06?
5
What is the closest to 31 in 2/19, 22, 11.5?
22
What is the nearest to 0 in 1, -2, 6, 5, -9/13?
-9/13
What is the closest to 0.33 in -1/9, 0.5, 132/5?
0.5
Which is the nearest to 1/2? (a) 0.5 (b) -0.3 (c) -0.1613 (d) 6
a
What is the closest to 0.1 in -0.6, -3, -60689/4?
-0.6
Which is the nearest to 2/5? (a) -6 (b) -4 (c) -3 (d) -2/45 (e) -2
d
What is the nearest to -1.4 in -1/5, 50/23, -15, -0.1?
-1/5
Which is the nearest to 1/11? (a) 0.2 (b) 1/12 (c) 12
b
What is the closest to -4 in 0.4, 0, 0.3, -4, 15901?
-4
What is the closest to 2.522 in 7/4, -0.3, -3?
7/4
Which is the closest to 0? (a) -0.5 (b) 63.14 (c) 0 (d) 0.4 (e) -1
c
What is the closest to -10 in 2/13, 1/9, 30, -0.033?
-0.033
What is the nearest to 3/7 in -5, 1, -71139, 0?
0
Which is the closest to -2/27? (a) -46 (b) -2 (c) -63
b
Which is the nearest to -58/11? (a) -2 (b) 0.05 (c) 1
a
Which is the nearest to -1? (a) -4 (b) -1361 (c) -5 (d) -2/3 (e) 10
d
What is the closest to 1/2 in 10, 2, -7, 0.5, -2/15?
0.5
Which is the closest to 1/3? (a) 0.1 (b) 0.07 (c) -8.82
a
Which is the closest to 82? (a) -0.4 (b) -0.343 (c) -3
b
What is the closest to -0.2 in -2, 2, 3/2, 832?
3/2
Which is the nearest to -1/146? (a) -1/650 (b) -4 (c) 3 (d) 5
a
What is the closest to -0.1 in 19.5, 3/4, 26?
3/4
What is the closest to 2 in -2, 375, 2/13, -1/5, -4?
2/13
What is the closest to 1/2 in -2, 0.1, -44/5, -23?
0.1
Which is the closest to 10? (a) 42 (b) 0 (c) 0.3 (d) 6/11
d
What is the nearest to -1 in 5, -35526/13, 0?
0
What is the nearest to -372/5 in 63, -20, 0.5?
-20
Which is the closest to 15? (a) -3 (b) -1/27 (c) 0.02 (d) -2/7
c
Which is the closest to 0? (a) 19 (b) -28 (c) 0.3 (d) -2/123
d
Which is the nearest to -2/11? (a) -3 (b) -0.024 (c) 0 (d) -0.3
d
What is the closest to 6 in 0.2, -15, -1/124?
0.2
What is the closest to -2/7 in -3/4, 55, 1/5, 7?
-3/4
What is the nearest to 0.84651 in -1/2, -5, 8, 5?
-1/2
What is the closest to -1/2 in 2, -60/11, 0.13?
0.13
What is the closest to 0.143 in -3, 1, -0.5, -4, 7?
-0.5
Which is the nearest to 53? (a) 2/7 (b) -7 (c) -0.2 (d) -80 (e) -3
a
What is the nearest to -2/7 in -2/3, -2/487, -0.06, -0.5, 2/113?
-0.5
What is the nearest to 0.4 in 3080, 2/3, -0.4, 9?
2/3
Which is the closest to -3/8? (a) 4/7 (b) -23 (c) -8 (d) -0.27 (e) -0.4
e
Which is the closest to -17? (a) -0.01 (b) -2/3 (c) -1343
b
Which is the closest to 2? (a) 4 (b) 265/2 (c) 0.049
c
What is the closest to 0.03 in 2/9, 2/3311, -0.15, -4?
2/3311
What is the closest to 0 in -2, 44, -1, 0.3, -2/17?
-2/17
What is the closest to 0.17 in -0.5, -1, 0.04, 1/10?
1/10
Which is the closest to -2/7? (a) 2344 (b) -0.1 (c) -7/2
b
What is the nearest to -7 in 0.3, 3, 2, -0.2, -9.8?
-9.8
Which is the nearest to 2/5? (a) 3 (b) 9 (c) -4 (d) 6
a
What is the closest to -1/2 in 4, -1.9555, -0.2, -1?
-0.2
What is the closest to 8/7 in -0.4, -247, 2?
2
What is the nearest to -0.07 in -1/212, 2, -4/3, -2/5?
-1/212
Which is the closest to 3? (a) -
|
{
"pile_set_name": "DM Mathematics"
}
|
e.
h**(-1409/483)
Simplify (a**(1/3)*(a*(a**8/a)/a)/a*(a/a**(1/2))**(-8))**(2/59) assuming a is positive.
a**(14/177)
Simplify (((w*w/(w/(w/(w*w/(w**0/w)))))/(w*w**(-1/4)))**(8/13))**6 assuming w is positive.
w**(-84/13)
Simplify w**(-7/8)/w**(13/4)*w**(-26)/((((w*w**(2/71))/w)/w)/w) assuming w is positive.
w**(-15991/568)
Simplify (b**(1/9)*b)/(b**(1/2)*b*b)*(b**6)**(-3/19) assuming b is positive.
b**(-799/342)
Simplify ((w/((w*w**(2/43))/w)*w)**(-37))**(-48) assuming w is positive.
w**(149184/43)
Simplify (n**(3/2))**9/(((n**4/n*n)/n)/(n*n**(4/7))) assuming n is positive.
n**(169/14)
Simplify (s**(-1/2)*s)**(-9/4)/(s**(-2)*s/(s/s**(1/2))) assuming s is positive.
s**(3/8)
Simplify ((m**11*m*m)/(m**(-7)*m))/(m**8*m/m**0*m) assuming m is positive.
m**9
Simplify r**(1/5)/r*(r/r**18)/r*r**(-12)/((r/r**(-5/3))/r*r) assuming r is positive.
r**(-502/15)
Simplify (a/(a*a/(a/(a*a/a**(-3)))*a*a)*a**(1/9))/(a**(-16))**(-19/5) assuming a is positive.
a**(-3046/45)
Simplify h/h**(10/3)*h*h**(-21)*h**(-19)*h**(-20) assuming h is positive.
h**(-184/3)
Simplify (o**17/o**17)**(-43) assuming o is positive.
1
Simplify (z/z**(-7)*z*z*z*z**(2/7)*z)/(z**(-1/10)/z**20) assuming z is positive.
z**(2267/70)
Simplify ((t/((t*t*t*t*(t*(t/t**(1/5))/t)/t)/t)*t)/(t/t**33))**(4/29) assuming t is positive.
t**(624/145)
Simplify (((i**(-1/5))**24)**(-10/9))**40 assuming i is positive.
i**(640/3)
Simplify (o*o**(-2))**(-39)/((o*o/o**(-1/23))/(o**33*o)) assuming o is positive.
o**(1632/23)
Simplify (y**(-11/4)*y**12)/((y**(-15)/y*y)/y*y/(y/(((y*(y*y**4*y)/y)/y*y)/y)*y)*y) assuming y is positive.
y**(81/4)
Simplify ((v/v**(-3))/v**(-1/3))/(v**(-6)*v/(v*v/(v**(-21)*v))) assuming v is positive.
v**(94/3)
Simplify ((b*(b*b**3*b)/b*b*b)**5*(b**(-4))**16)**21 assuming b is positive.
b**(-609)
Simplify (((q**5)**(-7/3))**(-1/10))**8 assuming q is positive.
q**(28/3)
Simplify (s**(-2/13)/s**3)/(((s**8/s)/s)/(s/s**(1/7))) assuming s is positive.
s**(-755/91)
Simplify (h*h**(-2/13)/h)**(20/7)/((h*h**(-3/8))/h*h**(-7)) assuming h is positive.
h**(5049/728)
Simplify ((s*s**(3/4)*s*s**0/s)/((s*s*(s/((s*s**(-1)*s)/s))/s)/s*s)**(-2/151))**(-41) assuming s is positive.
s**(-43993/604)
Simplify (d**19)**(-4/3)*d*d**(-19)*d**28 assuming d is positive.
d**(-46/3)
Simplify (i**(2/5))**(-43)*i**(1/3)*i*i**(-11)*i assuming i is positive.
i**(-388/15)
Simplify ((f*f**0/f)**(7/2)/(f/f**(-1))**(-30))**(-1/24) assuming f is positive.
f**(-5/2)
Simplify (((p*p**(2/27)*p*p)/p*p)/(p*p**8))/(p**20/p**24) assuming p is positive.
p**(-52/27)
Simplify ((b**(-2/3)*b**(1/14))**14)**34 assuming b is positive.
b**(-850/3)
Simplify (((((m**(-2/9)/m*m)/m)/m)/m*m**(-2))/(m*m/m**(-1/4))**(-1/22))**(-38) assuming m is positive.
m**(77045/396)
Simplify l**(12/5)*l**(-8)*l*l*l*(l/l**(-2/83))/(l/l**(-17)) assuming l is positive.
l**(-8124/415)
Simplify ((y*y**(-1/18))/((y/((y**(-11/6)/y*y)/y))/y*y))/(y**(-3/14))**(-24) assuming y is positive.
y**(-506/63)
Simplify (m**(-20))**(5/13)/(m*m**(-8/11)*m*(m/((m*m*m/(m*m**(2/9))*m)/m)*m)/m) assuming m is positive.
m**(-10537/1287)
Simplify (j**(-11)/(j**11*j))/(j/j**(-3))**15 assuming j is positive.
j**(-83)
Simplify g*g**(-3/5)/g*g**(-12)*(g**(-2/11))**32 assuming g is positive.
g**(-1013/55)
Simplify h**(2/3)*h*h*h**(-7/2)*h*(h/h**(-8))/h**(-12) assuming h is positive.
h**(127/6)
Simplify (p/(p/(p*((p*p/(p/p**(-8/5)))/p)/p*p*p*p)*p*p)*p)**43/(p**(-23))**(-41) assuming p is positive.
p**(-4629/5)
Simplify (v*v/v**(2/31))**(-36)/((v*v*v**(-4/5)/v*v)/(v/(v*v**(-15)))) assuming v is positive.
v**(-8661/155)
Simplify (o**(-2/13))**(-7)/(o**20/(o/o**(-2/79)*o)) assuming o is positive.
o**(-17354/1027)
Simplify j**(-4/15)*j*j**1*((j**1/j)/j)**(-26) assuming j is positive.
j**(416/15)
Simplify (v**(10/11))**(-4)*(v**10*v*v)/v*v**(2/11) assuming v is positive.
v**(83/11)
Simplify ((((w*w*w*w**(-5)*w)/w*w)/w*w/(w*w**(3/2)))/((w**(-6)*w*w)/(w**(-7)*w)))**(2/3) assuming w is positive.
w**(-11/3)
Simplify ((g/(g/g**(1/9)))/(g*g**11))/(g*g*(g/g**(-3))/g*g*g*g)**(-2/77) assuming g is positive.
g**(-8095/693)
Simplify (h*h*h**(-3))/(h/(h*h**(-9)))*(h/(h*h**2)*h)**(23/4) assuming h is positive.
h**(-63/4)
Simplify ((j*j*j/(j**3*j*j))/(j*j/(j/(j**(-11)*j)))*(j/j**(3/4))/j**(3/5))**(6/7) assuming j is positive.
j**(57/10)
Simplify (l**(-11)*l/(l*l**26))/((l*l**(-3/2))/l)**(-2/27) assuming l is positive.
l**(-334/9)
Simplify (b**(-2/19)*b*b**(-1/10))/((b/(b*b**(-3)))/(b*b*b/(b**1/b))) assuming b is positive.
b**(151/190)
Simplify ((k**4/k)/k**(-4/15))/((k**(-11/4)/k*k)/k)**(1/31) assuming k is positive.
k**(6301/1860)
Simplify (y/(y*y/y**(-7))*y/((y**19/y)/y))/(y**(-1))**18 assuming y is positive.
y**(-6)
Simplify (u*u**0)**(-1/35)*(u**(-6)*u*u)/u**(10/11) assuming u is positive.
u**(-1901/385)
Simplify ((h/h**9)/h**(-2/51))/(h*h/(h*h**(3/7)/h))**41 assuming h is positive.
h**(-25843/357)
Simplify ((n/n**1*n*n)/n)**35/(n**16/n**17) assuming n is positive.
n**36
Simplify (t/(t*t/(t*t**(-4)*t)))**(5/6)*(t/t**15)/t**5 assuming t is positive.
t**(-43/2)
Simplify (u**(-1/7))**(-3/29)/((u/u**(-1/18))/(u*u/u**1)) assuming u is positive.
u**(-149/3654)
Simplify (l**(-5))**(1/7)*l*l**(-6)*l*(l/l**(-4))/l*l*l assuming l is positive.
l**(9/7)
Simplify d**14/d**20*d**(4/5)/(d**(2/7)*d) assuming d is positive.
d**(-227/35)
Simplify (k*k**(-2/13)*k)**48/(k**(2/5))**28 assuming k is positive.
k**(5032/65)
Simplify k**16/k*(k**(-11)*k)/k*k**33*k**(-18)*k assuming k is positive.
k**20
Simplify g**22/g*g**(-1)*g*g**8/((g/(g*g**(2/55)))/g) assuming g is positive.
g**(1652/55)
Simplify g**(-5)*g*g*g/(g**(-4)/g*g)*g*(g**1/g)/(g*g**(2/7)) assuming g is positive.
g**(12/7)
Simplify (g*g**(-1/3)/g*g/((g/g**(-4/5))/g))/(g/(g*g**14/g)*g/(g*g**(-5/2))) assuming g is positive.
g**(311/30)
Simplify (y*y*y**0/y*((y**(-11/2)*y)/y*y)/y*y)/(y**(-5)*y*y*y**(-12)) assuming y is positive.
y**(23/2)
Simplify (m/m**(2/19))/(m/(m/(m*(m/(m*m/m**(-14)*m))/m*m)))*m*m*m**(2/41)*m/(m*m**(-6/19)) assuming m is positive.
m**(14224/779)
Simplify ((m*m*m**(1/25)*m)/((((m*m**17*m*m)/m*m)/m)/m*m))/((m**(-9)/m)/(m**(-1/28)*m)) assuming m is positive.
m**(-3497/700)
Simplify ((z*z**(-5)*z**(1/2))**(14/9))**(6/5) assuming z is positive.
z**(-98/15)
Simplify c**4*c**(-1/26)/c*c**5*(c*c**(-2/33)*c*c)/c assuming c is positive.
c**(8495/858)
Simplify ((o/(o/(o*o**(-30)*o)))/(o*o/(o/(o*o**27)*o)))/(o**27/o**(3/2)) assuming o is positive.
o**(-163/2)
Simplify ((m**(1/2))**(2/17)/(m**(-2))**(2/31))**16 assuming m is positive.
m**(1584/527)
Simplify (u**(-13)/((u*u**16)/u*u*u))/((u*u**(1/2)*u)/u**(-2/15)) assuming u is positive.
u**(-1009/30)
Simplify (q/(q**5/q)*q**(10/7)*q)/(q**(-3/10)*q)**(-44/3) assuming q is positive.
q**(1018/105)
Simplify ((h/(h**22*h*h))/h)**(9/2)*h**(-4/27)*h**(-18) assuming h is positive.
h**(-3406/27)
Simplify ((a**0/(a/a**(-6)*a))/(a/(a**(-1)/a))**(-7))**(-1/3) assuming a is positive.
a**(-13/3)
Simplify (n**(5/2))**8*(n*n/(n/n**(-5/4))*n)**(1/22) assuming n is positive.
n**(1763/88)
Simplify (s**(-6)/s)/(s*s**1)*(s**(-2/13)/s)**(18/7) assuming s is positive.
s**(-1089/91)
Simplify ((t*t/(t/(t/t**(-4))))/(t**(2/65)*t))/(t/t**(-8)*t)**4 assuming t is positive.
t**(-2277/65)
Simplify (q*q/q**0*q)/q*q**(2/11)*q/q**(2/5)*q*q*q**(2/3) assuming q is positive.
q**(899/165)
Simplify (r**5/(r**(-10)*r))/(r/(r*r**(1/3)*r)*r/r**(1/7)*r) assuming r is positive.
r**(283/21)
Simplify r**(-30)*r*r*r**(-1)*(r**(2/33))**(4/5) assuming r is positive.
r**(-4777/165)
Simplify (z**(2/5)/z)**36*z/z**(-7/3)*z*z*z**(-1/13)/z assuming z is positive.
z**(-3382/195)
Simplify ((k**(9/5)*k*k)/k*k/(k/k**(-15/4)))/(k**(-36)/((k*((k*(k**31*k)/k)/k)/k)/k)) assuming k is positive.
k**(1301/20)
Simplify (z/(z**(-1/3)*z))**(-1/92)*(z/(z*z**(1/2)))/(((z/(z*z/z**(-1/4)))/z)/z) assuming z is positive.
z**(379/138)
Simplify y**(-1/30)/y**18*(y**(9/5))**(-12/7) assuming y is positive.
y**(-887/42)
Simplify (((x**(2/9)*x)/x**(-4))/(x**(-2/5))**(-3/26))**24 assuming x is positive.
x**(24224/195)
Simplify ((g*g*g*g**20)/g)/(g/g**(-2/41))*((g*g/(g*(g/(g/(g/(g*g**(1/22)))))/g))/g)**46 assuming g is positive.
g**(31138/451)
Simplify ((m**(-3/2)/m**(-11))**(-40))**20 assuming m is positive.
m**(-7600)
Simplify (h**(-2/47)/h**(-6/7))/((((((h/((h/(h**29*h*h))/h)*h)/h)/h
|
{
"pile_set_name": "DM Mathematics"
}
|
vided by 86?
77
What is the remainder when 1450 is divided by 47?
40
Calculate the remainder when 415 is divided by 20.
15
What is the remainder when 383 is divided by 24?
23
Calculate the remainder when 19682 is divided by 243.
242
What is the remainder when 1346 is divided by 193?
188
What is the remainder when 1064 is divided by 79?
37
Calculate the remainder when 3492 is divided by 19.
15
What is the remainder when 167 is divided by 56?
55
What is the remainder when 123 is divided by 43?
37
Calculate the remainder when 9 is divided by 6.
3
What is the remainder when 79 is divided by 15?
4
Calculate the remainder when 86 is divided by 43.
0
What is the remainder when 793 is divided by 138?
103
What is the remainder when 4767 is divided by 8?
7
Calculate the remainder when 8353 is divided by 35.
23
Calculate the remainder when 88 is divided by 29.
1
What is the remainder when 4693 is divided by 27?
22
Calculate the remainder when 86 is divided by 32.
22
What is the remainder when 2444 is divided by 36?
32
What is the remainder when 854 is divided by 169?
9
Calculate the remainder when 732 is divided by 148.
140
What is the remainder when 1721 is divided by 212?
25
Calculate the remainder when 400 is divided by 52.
36
Calculate the remainder when 267 is divided by 69.
60
Calculate the remainder when 2156 is divided by 83.
81
Calculate the remainder when 4942 is divided by 20.
2
Calculate the remainder when 309 is divided by 100.
9
What is the remainder when 78 is divided by 38?
2
Calculate the remainder when 707 is divided by 90.
77
What is the remainder when 2569 is divided by 364?
21
What is the remainder when 155 is divided by 34?
19
What is the remainder when 188 is divided by 22?
12
Calculate the remainder when 3056 is divided by 133.
130
Calculate the remainder when 39 is divided by 19.
1
What is the remainder when 1057 is divided by 1035?
22
Calculate the remainder when 109 is divided by 13.
5
Calculate the remainder when 360 is divided by 120.
0
What is the remainder when 172 is divided by 25?
22
What is the remainder when 352 is divided by 42?
16
What is the remainder when 3312 is divided by 1087?
51
Calculate the remainder when 491 is divided by 19.
16
Calculate the remainder when 1955 is divided by 89.
86
Calculate the remainder when 209 is divided by 43.
37
Calculate the remainder when 668 is divided by 171.
155
Calculate the remainder when 813 is divided by 37.
36
Calculate the remainder when 1323 is divided by 188.
7
Calculate the remainder when 489 is divided by 26.
21
What is the remainder when 731 is divided by 100?
31
Calculate the remainder when 132 is divided by 27.
24
Calculate the remainder when 491 is divided by 19.
16
Calculate the remainder when 278 is divided by 56.
54
What is the remainder when 55 is divided by 5?
0
Calculate the remainder when 145 is divided by 68.
9
Calculate the remainder when 21 is divided by 14.
7
Calculate the remainder when 375 is divided by 8.
7
Calculate the remainder when 31 is divided by 3.
1
What is the remainder when 88 is divided by 26?
10
What is the remainder when 70 is divided by 37?
33
Calculate the remainder when 1563 is divided by 112.
107
What is the remainder when 89 is divided by 28?
5
Calculate the remainder when 471 is divided by 6.
3
What is the remainder when 277 is divided by 60?
37
Calculate the remainder when 1546 is divided by 18.
16
Calculate the remainder when 52 is divided by 21.
10
Calculate the remainder when 1660 is divided by 6.
4
What is the remainder when 159 is divided by 8?
7
What is the remainder when 1857 is divided by 919?
19
What is the remainder when 718 is divided by 120?
118
Calculate the remainder when 454 is divided by 57.
55
What is the remainder when 1075 is divided by 11?
8
Calculate the remainder when 1790 is divided by 16.
14
What is the remainder when 264 is divided by 34?
26
Calculate the remainder when 4666 is divided by 38.
30
Calculate the remainder when 2748 is divided by 125.
123
What is the remainder when 5586 is divided by 13?
9
What is the remainder when 558 is divided by 112?
110
What is the remainder when 2350 is divided by 2334?
16
What is the remainder when 105 is divided by 23?
13
Calculate the remainder when 1452 is divided by 469.
45
What is the remainder when 93 is divided by 14?
9
Calculate the remainder when 250 is divided by 85.
80
Calculate the remainder when 7274 is divided by 17.
15
What is the remainder when 16 is divided by 3?
1
What is the remainder when 3359 is divided by 10?
9
What is the remainder when 425 is divided by 9?
2
What is the remainder when 5799 is divided by 58?
57
What is the remainder when 144 is divided by 28?
4
Calculate the remainder when 317 is divided by 11.
9
What is the remainder when 259 is divided by 10?
9
Calculate the remainder when 161 is divided by 28.
21
Calculate the remainder when 470 is divided by 35.
15
What is the remainder when 2076 is divided by 2061?
15
What is the remainder when 47 is divided by 30?
17
Calculate the remainder when 135 is divided by 42.
9
Calculate the remainder when 422 is divided by 81.
17
What is the remainder when 1343 is divided by 87?
38
Calculate the remainder when 62 is divided by 38.
24
What is the remainder when 104 is divided by 3?
2
What is the remainder when 193 is divided by 15?
13
What is the remainder when 213 is divided by 16?
5
Calculate the remainder when 285 is divided by 13.
12
What is the remainder when 479 is divided by 98?
87
Calculate the remainder when 154 is divided by 79.
75
What is the remainder when 4029 is divided by 21?
18
What is the remainder when 94 is divided by 37?
20
Calculate the remainder when 449 is divided by 54.
17
What is the remainder when 2204 is divided by 50?
4
Calculate the remainder when 61 is divided by 13.
9
What is the remainder when 162 is divided by 95?
67
Calculate the remainder when 2959 is divided by 10.
9
What is the remainder when 66 is divided by 45?
21
Calculate the remainder when 1945 is divided by 327.
310
What is the remainder when 2764 is divided by 277?
271
What is the remainder when 235 is divided by 38?
7
Calculate the remainder when 318 is divided by 12.
6
Calculate the remainder when 542 is divided by 270.
2
Calculate the remainder when 2623 is divided by 71.
67
Calculate the remainder when 37 is divided by 21.
16
Calculate the remainder when 298 is divided by 30.
28
Calculate the remainder when 123 is divided by 16.
11
Calculate the remainder when 2750 is divided by 549.
5
Calculate the remainder when 6866 is divided by 202.
200
Calculate the remainder when 95 is divided by 14.
11
Calculate the remainder when 1118 is divided by 14.
12
What is the remainder when 2159 is divided by 40?
39
Calculate the remainder when 926 is divided by 3.
2
Calculate the remainder when 955 is divided by 138.
127
What is the remainder when 696 is divided by 373?
323
Calculate the remainder when 405 is divided by 24.
21
What is the remainder when 438 is divided by 75?
63
What is the remainder when 253 is divided by 17?
15
What is the remainder when 1702 is divided by 124?
90
Calculate the remainder when 27 is divided by 22.
5
Calculate the remainder when 309 is divided by 18.
3
What is the remainder when 630 is divided by 309?
12
What is the remainder when 14070 is divided by 34?
28
What is the remainder when 115 is divided by 33?
16
Calculate the remainder when 66 is divided by 42.
24
Calculate the remainder when 968 is divided by 57.
56
Calculate the remainder when 12 is divided by 9.
3
What is the remainder when 83 is divided by 7?
6
Calculate the remainder when 308 is divided by 16.
4
What is the remainder when 1101 is divided by 79?
74
What is the remainder when 1994 is divided by 16?
10
What is the remainder when 341 is divided by 112?
5
What is the remainder when 519 is divided by 104?
103
What is the remainder when 683 is divided by 58?
45
Calculate the remainder when 79 is divided by 9.
7
Calculate the remainder when 267 is divided by 24.
3
Calculate the remainder when 985 is divided by 196.
5
Calculate the remainder when 50 is divided by 30.
20
What is the remainder when 2374 is divided by 107?
20
What is the remainder when 383 is divided by 97?
92
What is the remainder when 144 is divided by 38?
30
|
{
"pile_set_name": "DM Mathematics"
}
|
common factor of 140 and 112?
28
What is the highest common divisor of 29 and 29?
29
What is the highest common factor of 196 and 70?
14
What is the greatest common factor of 368 and 230?
46
What is the greatest common divisor of 56 and 144?
8
What is the greatest common divisor of 45375 and 33?
33
Calculate the greatest common factor of 75 and 115.
5
What is the highest common factor of 65 and 13?
13
Calculate the greatest common factor of 11 and 3773.
11
What is the greatest common factor of 59 and 7493?
59
What is the greatest common factor of 9 and 558?
9
What is the greatest common factor of 230 and 644?
46
Calculate the highest common divisor of 1380 and 552.
276
What is the highest common factor of 63 and 45?
9
Calculate the highest common factor of 86 and 7740.
86
What is the highest common factor of 32 and 272?
16
Calculate the greatest common divisor of 84840 and 140.
140
What is the highest common divisor of 9379 and 226?
113
Calculate the highest common divisor of 48 and 2202.
6
Calculate the highest common factor of 1710 and 135.
45
Calculate the highest common factor of 5635 and 735.
245
What is the greatest common factor of 126 and 18?
18
Calculate the highest common divisor of 546 and 1155.
21
Calculate the greatest common factor of 500 and 80.
20
What is the greatest common divisor of 19 and 281?
1
What is the greatest common factor of 441 and 98?
49
What is the greatest common divisor of 5362 and 98?
14
Calculate the greatest common divisor of 285 and 57.
57
Calculate the highest common divisor of 36 and 396.
36
What is the greatest common divisor of 52 and 416?
52
Calculate the greatest common factor of 19 and 5643.
19
Calculate the highest common divisor of 91 and 377.
13
Calculate the highest common factor of 66 and 78.
6
What is the highest common divisor of 315 and 4284?
63
Calculate the highest common divisor of 392 and 49.
49
Calculate the greatest common divisor of 12 and 480.
12
Calculate the greatest common factor of 29 and 1.
1
What is the greatest common divisor of 10930 and 10?
10
What is the highest common divisor of 9048 and 104?
104
Calculate the greatest common divisor of 33 and 7579.
11
What is the highest common divisor of 1776 and 384?
48
What is the greatest common factor of 114 and 741?
57
Calculate the greatest common divisor of 43 and 86.
43
Calculate the greatest common divisor of 54233 and 281.
281
Calculate the highest common divisor of 272 and 646.
34
What is the highest common divisor of 867 and 51?
51
What is the highest common divisor of 310 and 5828?
62
What is the greatest common divisor of 420 and 7?
7
What is the highest common divisor of 484 and 33?
11
Calculate the highest common divisor of 1323 and 27.
27
Calculate the greatest common divisor of 46 and 46.
46
What is the highest common factor of 800 and 32?
32
What is the greatest common factor of 1766 and 2?
2
Calculate the greatest common divisor of 15 and 795.
15
What is the highest common divisor of 896 and 2048?
128
Calculate the highest common divisor of 34560 and 270.
270
What is the highest common divisor of 25 and 11075?
25
What is the highest common divisor of 516 and 12?
12
What is the greatest common factor of 16 and 1712?
16
Calculate the highest common divisor of 510 and 10030.
170
Calculate the highest common divisor of 1903 and 11.
11
What is the highest common factor of 7 and 10?
1
What is the highest common factor of 13 and 351?
13
Calculate the greatest common divisor of 2 and 550.
2
What is the greatest common divisor of 23 and 7?
1
What is the highest common factor of 550 and 22?
22
Calculate the greatest common factor of 136 and 128.
8
What is the highest common factor of 126 and 72?
18
Calculate the greatest common factor of 12 and 384.
12
Calculate the highest common factor of 30 and 3390.
30
Calculate the highest common divisor of 117 and 72.
9
What is the highest common divisor of 418 and 1408?
22
Calculate the greatest common factor of 1296 and 81.
81
Calculate the greatest common factor of 18516 and 12.
12
Calculate the greatest common divisor of 38 and 32642.
38
What is the highest common factor of 24 and 1056?
24
What is the highest common divisor of 558 and 10881?
279
Calculate the highest common factor of 10 and 1210.
10
What is the highest common factor of 30849 and 113?
113
What is the highest common factor of 11 and 11?
11
Calculate the greatest common divisor of 1564 and 92.
92
Calculate the greatest common divisor of 228 and 240.
12
What is the greatest common divisor of 1431 and 371?
53
What is the greatest common divisor of 130 and 1222?
26
Calculate the greatest common divisor of 36 and 40176.
36
What is the highest common factor of 8 and 312?
8
What is the highest common divisor of 595 and 17?
17
Calculate the highest common divisor of 104 and 2938.
26
What is the highest common factor of 2452 and 4?
4
Calculate the greatest common factor of 195 and 1005.
15
What is the greatest common divisor of 4614 and 30?
6
What is the highest common factor of 856 and 8?
8
What is the highest common factor of 8 and 104?
8
Calculate the highest common divisor of 95 and 1465.
5
Calculate the highest common factor of 3 and 24.
3
What is the highest common factor of 3650 and 292?
146
What is the highest common factor of 72 and 2664?
72
What is the highest common factor of 8991 and 1701?
243
What is the highest common divisor of 90 and 54?
18
Calculate the highest common divisor of 27 and 3051.
27
What is the highest common divisor of 330 and 2640?
330
Calculate the greatest common factor of 8 and 146.
2
Calculate the greatest common factor of 12 and 116.
4
What is the greatest common factor of 2436 and 84?
84
Calculate the greatest common factor of 10236 and 24.
12
What is the highest common factor of 4 and 596?
4
Calculate the greatest common divisor of 328 and 24.
8
Calculate the highest common divisor of 41 and 205.
41
Calculate the greatest common factor of 10265 and 5.
5
What is the greatest common factor of 39 and 15?
3
Calculate the greatest common divisor of 5 and 7.
1
Calculate the highest common divisor of 325 and 50.
25
What is the greatest common factor of 200 and 250?
50
Calculate the highest common divisor of 1305 and 348.
87
What is the greatest common divisor of 2 and 22?
2
What is the greatest common divisor of 7518 and 14?
14
Calculate the greatest common divisor of 876 and 60.
12
Calculate the greatest common divisor of 17 and 136.
17
Calculate the highest common divisor of 2592 and 81.
81
What is the highest common factor of 17259 and 33?
33
Calculate the greatest common divisor of 8 and 36.
4
What is the greatest common factor of 9 and 279?
9
What is the highest common divisor of 114 and 1064?
38
Calculate the highest common factor of 48 and 254.
2
What is the greatest common divisor of 452 and 12?
4
What is the greatest common divisor of 15928 and 88?
88
Calculate the highest common divisor of 50 and 11450.
50
What is the greatest common divisor of 7 and 5761?
7
Calculate the highest common factor of 8 and 328.
8
What is the greatest common divisor of 330 and 891?
33
What is the greatest common divisor of 85 and 1865?
5
What is the highest common factor of 25 and 45?
5
What is the highest common factor of 24 and 9736?
8
What is the greatest common factor of 34 and 4811?
17
Calculate the highest common factor of 39 and 822.
3
What is the greatest common divisor of 3231 and 9?
9
Calculate the greatest common factor of 22 and 418.
22
Calculate the greatest common factor of 20025 and 225.
225
Calculate the highest common divisor of 7 and 1701.
7
What is the greatest common factor of 368 and 16?
16
Calculate the greatest common divisor of 6252 and 12.
12
Calculate the greatest common divisor of 70690 and 10.
10
What is the greatest common divisor of 382 and 6?
2
Calculate the highest common factor of 38 and 361.
19
What is the greatest common factor of 6848 and 64?
64
What is the highest common divisor of 943 and 82?
41
What is the greatest common divisor of 36 and 2412?
36
What is the greatest common factor of 330 and 210?
30
Calculate the greatest common divisor of 20 and 72.
4
What is the greatest common divisor of 615 and 246?
123
Calculate the greatest common divisor of 1 and 947.
1
Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
37306901 a prime number?
True
Is 296341501 prime?
False
Is 1888609 composite?
False
Is 1123457 prime?
False
Is 43604555 prime?
False
Is 563009 prime?
True
Is 127264661 composite?
False
Is 55809263 a composite number?
False
Is 6254593 prime?
True
Is 59497 prime?
True
Is 24924833 a prime number?
False
Is 25246627 a composite number?
True
Is 40317293 composite?
True
Is 35338 prime?
False
Is 165812539 prime?
False
Is 3971458 a prime number?
False
Is 128337041 a prime number?
False
Is 27794717 a prime number?
True
Is 3188013 a composite number?
True
Is 20214581 a composite number?
True
Is 56687807 a composite number?
True
Is 1708934 prime?
False
Is 16806599 composite?
False
Is 3012877 composite?
True
Is 28273281 a composite number?
True
Is 19749805 a prime number?
False
Is 106470347 a prime number?
True
Is 146925191 a composite number?
True
Is 2699731 composite?
True
Is 87466889 a composite number?
False
Is 6759943 a prime number?
True
Is 20280743 prime?
False
Is 26715835 a composite number?
True
Is 22248703 a composite number?
False
Is 67781863 prime?
True
Is 1745563 composite?
True
Is 4288657 composite?
True
Is 1729536007 a prime number?
True
Is 47334809 a composite number?
False
Is 9663187 prime?
True
Is 13189499 composite?
False
Is 682183 prime?
True
Is 302840683 composite?
True
Is 285229801 composite?
False
Is 34366559 a composite number?
True
Is 1467995 composite?
True
Is 972814 a prime number?
False
Is 113847173 a prime number?
False
Is 1172971 a composite number?
True
Is 1771261 a composite number?
False
Is 16390769 a prime number?
False
Is 214723581 a composite number?
True
Is 940421 a prime number?
True
Is 250059883 composite?
True
Is 6258911 a prime number?
True
Is 1284169 a composite number?
False
Is 23002327 prime?
True
Is 21805253 composite?
True
Is 27072191 composite?
False
Is 19958167 prime?
True
Is 4937567 prime?
False
Is 15894937 composite?
False
Is 15909734 a composite number?
True
Is 87520483 a prime number?
True
Is 23713579 a composite number?
False
Is 429020645 a composite number?
True
Is 21164191 composite?
True
Is 2062769 composite?
True
Is 12403603 composite?
True
Is 2442149 composite?
True
Is 24000233 a composite number?
False
Is 957409 a prime number?
True
Is 45035981 a composite number?
False
Is 326920733 a composite number?
True
Is 21305551 prime?
True
Is 117184163 composite?
False
Is 70813213 a prime number?
True
Is 383815543 composite?
False
Is 253991971 prime?
True
Is 4725883 a composite number?
False
Is 2693949 a prime number?
False
Is 93366347 a composite number?
False
Is 74576641 a composite number?
False
Is 3871271 a prime number?
True
Is 10166594 prime?
False
Is 43533559 a composite number?
False
Is 1942627 a composite number?
False
Is 957888565 composite?
True
Is 80897 composite?
False
Is 438913 prime?
True
Is 260345401 a composite number?
True
Is 2094473 composite?
False
Is 1222913 prime?
True
Is 13135279 a composite number?
False
Is 28914269 composite?
False
Is 882326365 a prime number?
False
Is 67047041 a prime number?
False
Is 43579267 composite?
False
Is 2850619 composite?
False
Is 462755 prime?
False
Is 81319711 a composite number?
True
Is 106962637 a prime number?
False
Is 677135 a composite number?
True
Is 20454001 a prime number?
True
Is 515329807 composite?
False
Is 2157391 a composite number?
False
Is 251723 prime?
False
Is 12363331 a prime number?
True
Is 213566491 prime?
True
Is 25029177 prime?
False
Is 83708686 composite?
True
Is 17306923 a prime number?
False
Is 18324203 composite?
True
Is 32696057 a prime number?
False
Is 18878807 a prime number?
True
Is 13886065 prime?
False
Is 39652801 a composite number?
True
Is 5333641 a prime number?
False
Is 22553497 composite?
False
Is 1505451 a composite number?
True
Is 83875811 prime?
True
Is 4389131 prime?
True
Is 3063539 a composite number?
False
Is 69348493 composite?
True
Is 299039 a composite number?
True
Is 1350959 a composite number?
False
Is 1373615 a composite number?
True
Is 83062909 a composite number?
False
Is 36835019 composite?
True
Is 404391379 a composite number?
True
Is 447751 a prime number?
False
Is 712667 a composite number?
True
Is 85381 prime?
True
Is 198089979 composite?
True
Is 1667217 a prime number?
False
Is 7201949 composite?
False
Is 161959703 prime?
False
Is 51221462 prime?
False
Is 1240471 prime?
False
Is 35645921 prime?
True
Is 5029951 prime?
True
Is 127923109 composite?
False
Is 10231511 prime?
True
Is 1254349 a composite number?
True
Is 578923 composite?
False
Is 10876837 composite?
False
Is 21467653 a composite number?
False
Is 193481 prime?
False
Is 2856773 a prime number?
True
Is 167261663 prime?
True
Is 6863609 prime?
False
Is 528247 a prime number?
True
Is 181387183 a composite number?
False
Is 2031671 a prime number?
True
Is 77995483 prime?
False
Is 567764467 composite?
True
Is 15150203 prime?
False
Is 4026655 composite?
True
Is 3383671 a prime number?
False
Is 1370021 a composite number?
True
Is 685943 prime?
False
Is 79540933 prime?
True
Is 415354321 composite?
False
Is 7047947 a prime number?
True
Is 237701 a composite number?
False
Is 7145561 prime?
False
Is 18745187 prime?
True
Is 924551 a prime number?
True
Is 7762873 composite?
False
Is 19700293 prime?
True
Is 2205107 prime?
True
Is 57599359 prime?
False
Is 42474493 a prime number?
True
Is 2353138193 a prime number?
False
Is 105667 a prime number?
True
Is 60206443 a prime number?
False
Is 2885947 a prime number?
True
Is 13590289 a composite number?
True
Is 56782679 a composite number?
True
Is 4854839 composite?
True
Is 9481739 a composite number?
False
Is 55492439 composite?
True
Is 41801791 prime?
False
Is 8185129 a composite number?
True
Is 2397569 a composite number?
False
Is 146091769 composite?
True
Is 4858519 a composite number?
False
Is 346169 a prime number?
True
Is 122351 composite?
True
Is 4996321 a composite number?
True
Is 695347 a composite number?
False
Is 722167651 prime?
True
Is 11323093 prime?
False
Is 702019 composite?
True
Is 20597401 a composite number?
True
Is 90279157 composite?
False
Is 9240601 prime?
True
Is 84195343 prime?
True
Is 3081119 a composite number?
False
Is 141208513 a prime number?
False
Is 8989903 a prime number?
False
Is 329344359 a composite number?
True
Is 1162141 composite?
True
Is 18813401 a prime number?
False
Is 1362241 a composite number?
True
Is 91972723 a composite number?
False
Is 82964951 prime?
True
Is 656471 composite?
False
Is 146356351 a composite number?
False
Is 16485527 a prime number?
True
Is 61350533 a composite number?
False
Is 10687469 prime?
False
Is 873247 a prime number?
True
Is 91111343 a composite number?
False
Is 14787749 prime?
True
Is 70380913 a composite number?
False
Is 22535021 composite?
False
Is 55730903 a composite number?
False
Is 186763619 prime?
False
Is 438131 a composite number?
False
Is 413209 prime?
False
Is 5473829 prime?
False
Is 2138221 composite?
False
Is 82643809 a composite number?
False
Is 3208721 prime?
True
Is 1630243 prime?
True
Is 3800189 composite?
True
Is 3129439 composite?
False
Is 52462831 a prime number?
True
Is 12162169 composite?
False
Is 202236107 composite?
False
Is 8125691 a prime number?
False
Is 13421939 a composite number?
True
Is 108889307 composite?
False
Is 71704343 a prime number?
True
Is 42763961 composite?
False
Is 17100149 prime?
False
Is 78011197 a prime number?
False
Is 15591113 composite?
True
Is 4523977 composite?
True
Is 6301669 composite?
True
Is 826117 prime?
False
Is 27675253 a composite number?
False
Is 37524261 composite?
True
Is 153504707 a composite number?
False
Is 13550239 composite?
True
Is 57543 prime?
False
Is 9631913 composite?
False
Is 2081951 a composite number?
True
Is 1292887 a prime number?
True
Is 24449547 composite?
True
Is 17306729 a prime number?
False
Is 174617 composite?
False
Is 2519585581 a prime number?
True
Is 8499361 prime?
False
Is 306091 a prime number?
True
Is 3433805 a prime number?
False
Is 14331023 composite?
True
Is 3396313 a prime number?
True
Is 1164421 a composite number?
True
Is 921659 composite?
True
Is 193199 a prime number?
False
Is 30381077 a prime number?
False
Is 1054483477 a composite number?
False
Is 208188389 composite?
False
Is 4336061 composite?
False
Is 32541931 a prime number?
False
Is
|
{
"pile_set_name": "DM Mathematics"
}
|
5976*h + 95981*h - 5 = -2*r for r.
5
Solve 10431*p + 39*j = 10432*p - 42 - 7, -2 = 2*j for p.
10
Solve 5*i = 4*p - 352, -118*i = 3*p - 121*i - 213 for p.
3
Solve 63*c - 14 = 55*c + 2*g, 0 = 2*c - 2*c - 2*g + 2 for c.
2
Solve 0 = 2*y + 4*s + 80, -2041*y + 4*s = -2038*y - 80 for y.
0
Solve -30*c + 89*c + 194 = 25*c + 30*c - 6*f, 2*f + 68 = 2*c for c.
1
Solve -6635*f - 50 = 3*d - 6637*f, -f + 31 = -3*d for d.
-4
Solve 4*b = -188453*k + 188461*k - 8, 5*k - 65 = -5*b for k.
5
Solve -5*g = -3*c - 252 + 269, 246*c = g + 248*c - 7 for g.
-1
Solve 4*x = -2*x + 5*x - 4*o - 25, 0 = 263*x - 271*x + 3*o + 45 for x.
3
Solve -l - v = 396 - 408, 2*l - 72 = -8*v for l.
4
Solve 26*c = 5*o + 7, 28 = 2*o + 2*c + 3*c for o.
9
Solve 0 = u - 5*y - 12 + 35, 5*u + 7582 = -9*y + 3821 + 3816 for u.
2
Solve -v - 6 - 129 = -20*t, 2*t - 2*t - 2*v - 70 = -0*t for t.
5
Solve -23*t - 7*t + 32*t + 7*q = -46, 0 = 2*q + 12 for t.
-2
Solve -2 = -2*g + 405*r - 407*r + 80, r - 21 = 3*g for g.
5
Solve 2*a + 2 = 3*w + 11 - 3, -4*w - 21 = -5*a + 8 for w.
4
Solve h + 2*c - 7*c = -147, -52*h + 47*h - 213 = -7*c for h.
-2
Solve 0 = 7*x - 77, 112*z - 51*z - 59*z - 3*x = -0*x - 31 for z.
1
Solve -t = 4*m - 2*t - 65, -m - 117 = -8*m - 3163*t + 3168*t for m.
16
Solve 212*l - 4*i = 210*l - i - 15, -4 + 2 = -i - 3 for l.
-9
Solve v - 107 = -13*i + 4*v, -3*v + 122 + 43 = 21*i for i.
8
Solve 0*d + d - 92046*f + 92071*f = 74, -2*f = -6 for d.
-1
Solve 2*i + 42*a = 41*a + 16, -23*i + 6*a - 8 = -19*i + 8 for i.
5
Solve -8*z - 2*h - 4 = -8 - 6, -16*h + 3*h = -z - 65 for z.
0
Solve n - 125 - 121 = -q - 245, -q - 3*n = -5 for q.
-1
Solve 5*q + 5*t = -5, -19 = 1345*q - 1346*q + 4*t for q.
3
Solve -5*i - 20 = 2*r, 912936*r + 268 = 2*i + 912992*r for i.
-6
Solve -10*r + 3*r + 0 + 7 = 1 - 1, -3*r + 8 = 5*l for l.
1
Solve -2*l - 59 = -m, 123035*l - 88 = 123039*l + 4*m for l.
-27
Solve 3*s + s - 91*b = -94*b - 33, 502 = -56*s - 2*b for s.
-9
Solve 125*i - 238*i + 115*i = -26*l - 21 - 31, -5*l - 10 = 3*i for i.
0
Solve y + 328 = 2*q + 353, -5*q = -y + 64 for q.
-13
Solve 5*f = -3*z - 70, 110*f - 220*f = -z - 113*f - 22 for z.
-25
Solve 7*i - 8*i - 8*z + 18 = -11*z, 5*i - 5*z = 30 for i.
0
Solve 0 = 15*y - 16*y + a - 20, -142 - 189 = 62*y - 180*y + a for y.
3
Solve -q - 148228*k = -148233*k - 8, 32 = 4*q + 5*k for q.
8
Solve 10*j - 5*j + 114 = -7*c, c - 2*j = -19 for c.
-17
Solve -3*y = 0, -4*p + 107*y - 109*y - 8 = 76 for p.
-21
Solve -69 = 16*a + 5*h - 103, 5*h - 52 = 2*a for a.
-1
Solve -5*w = -3*p, -29172*w + 4*p + 0*p + 10 = -29167*w - 2*p + p for w.
-3
Solve 13*j = 2*n - 341, -93 = 410*j - 406*j - 3*n for j.
-27
Solve 1918058*v + 3*i = 1918057*v + 4, 2*i = 5*v - 3 for v.
1
Solve 6*c = 2*q - 0*q + 152, -5*c + 124 = -q for c.
24
Solve 5*h - w - 43 = 0, 105 = 276151*h - 276149*h + w + 113 for h.
5
Solve -4*s + 6*s - 378 = 12*r, -5*s + 445 - 275 = -5*r for s.
3
Solve 0*o - 2*o = 15*q - 16 - 4, -3*q = -2*o + 1712 - 1728 for o.
-5
Solve -3*x = z - 8*x - 1, -35*z = -39*z - 2*x + 70 for z.
16
Solve 3213*n = 3212*n - 4*b - 9, -4*n = -4*b + 16 for n.
-5
Solve -328 = 3*d - 4*g - 278, 51 = 2*d + 5*g for d.
-2
Solve 23*y + 261 = -v + 6*v - v, -v + 3*v + 7 = -y for y.
-11
Solve 4*a + 16*w + 52*w + 58*w + 12 = -12*w + 414, 9 = -2*a + w for a.
-3
Solve 0*x - 3*x - w = 5, 3778321 = -4*w + 3778277 for x.
2
Solve -5*z = -5*k + 41 - 19 + 3, -20*k + 28 = -8*z - 18*k for z.
-3
Solve -1164*a + 1165*a - 5*t = -35, -3*t = 3*a - 3 for a.
-5
Solve 11*x + 11*t = -3*x + 3, -56 = -4*x - 3*t - 55 for x.
1
Solve -13*l - 14 + 3 = -14*l - 2*c, l = 63*c - 509 for l.
-5
Solve 2*i + 114 = 4*b - 0*i, 4*b + 2*i - 187 = -93 for b.
26
Solve -610*t - 614*t = -1225*t + 4*i - 24, -147 = -35*t - i for t.
4
Solve 4*m + d = 40, -2*d + 29549 = -5*m + 29586 for m.
9
Solve -3*y - 2*s = -233 + 229, 32 = 3*y - 5*s for y.
4
Solve 2*k + 11 = -9*i, -5*k + 744*i - 749*i + 2 = 47 for k.
-10
Solve 3*o - 2*u + 19 = 0, 234*u + 101 = -5*o - 220*u - 232*u + 672*u for o.
-9
Solve -338 = 16*d + i, -2*i = -502*d + 505*d + 67 for d.
-21
Solve 7 = 3*h - 0*h - q + 27, -490 = -98*q for h.
-5
Solve -4*i + 201*y - 123*y - 18 = 79*y, -5*i - 2*y = 24 for i.
-4
Solve x = -61*t + 63*t - 5, 0 = t + 5*x + 5 + 9 for t.
1
Solve 56*f - 123*f = -62*f - 110, -4*z - 5*z - 36*f = -380 - 448 for z.
4
Solve 429*c - 424*c = 3*d - 69, 9*d = 17*c + 201 for c.
3
Solve q - 8365*n + 30 = -8366*n, 0 = -3*q - 4*n - 123 for q.
3
Solve 2*p + 2*i + 35 = -i, -7*i - 7 = -33*p + 35*p - 8*i for p.
-7
Solve -15 = 4*d + 3*u, 91*d + 0*u + 9*u - 8*u + 5 = 0 for d.
0
Solve -65*f = 6*j - 384 + 30, -2*j - 5*f = 2243 - 2261 for j.
-6
Solve 0*h + w = -12*h + 3*w + 96, -273228*h + 45 = -273225*h - w for h.
1
Solve 4*h + 64 = -4*l, -1567*l = -1566*l - 10*h - 127 for l.
-3
Solve 3*v - 3346 = o - 3344, 5*v + 58 + 8 = -7*o for v.
-2
Solve 338 = 12*q + 5*j + 86, -2*q + 5*j + 42 = 0 for q.
21
Solve -3*h + 2930184 - 2930204 = 11*f, -5*f - 2*h - 4 = 0 for f.
-4
Solve -3*x + 664*a - 670*a - 111 = 0, 0 = -5*a - 2 + 7 for x.
-39
Solve 4*v + 77 = -d, -123194 = 4*d - 17*v - 123480 for d.
-5
Solve 9*f - 10*f - 3 = -3*f + m, 100 = 6*f - 10*m for f.
-5
Solve 0*t + 2*k - 197 = -5*t, t - 34*k + 29*k = 61 for t.
41
Solve -4*k = -k, -3*k - 2930 = 2*h - 2926 for h.
-2
Solve -3*u - 12*o - 47 = -10*o, -4*u - 62 = 8*u - 9*u - o for u.
-19
Solve 4*v - 9 - 42 = 43*b, 5*v - 5*b - 12 = -3*b for v.
2
Solve 4396*j = -5*x + 4397*j - 42, 5*x - x + 33 = j for x.
-9
Solve 507*a - 103 = 4*f + 508*a - 120, 4*f - 2*a = 26 for f.
5
Solve -5*q - 30 = 5*h, -129*q + 3*h = -130*q - 1 - 7 for q.
-5
Solve -4*n + 5*o + 5 = -55 - 11, 14*n - 26 = 3*o + 5 for n.
-1
Solve -26*x + 6 = -30*x - 17*j + 19*j, 5*j = 25 for x.
1
Solve 0 = 6*w - 5*t + 67, -2*w - 5*t = -5*w - 69 - 7 for w.
3
Solve -g - 3*o - o = 45, 140*g + 148*g + 3*o = 284*g - 232 for g.
-61
Solve 0 = 4*i + 1778*p - 1777*p + 102 - 6, 4*i - 4*p = 12 - 128 for i.
-25
Solve -3*i - x - 22 = 0, -58*i + 3*i - 20 = -54*i + x for i.
-1
Solve 5*t + 3 = 3*q + 2, -284*q + 2*t = -143*q - 144*q - 13 for q.
-3
Solve 5*z + 67 = -4*p, 26*z - p + 0 + 65 = 0 for z.
-3
Solve 200 = -57*s + 117*s - 65*s + 5*q, s + 3*q - 104 = 0 for s.
-4
Solve 4*j - 5313*i + 5318*i - 61 = 0, 0 = 12*j + i - 113 for j.
9
Solve -5*o + o + 12*a + 148 = 0, -120 = -2*o - a - 130 for o.
1
Solve 4*t + 4554 = -5*o + 71*o, -156 + 49 = -t - 2*o + 31 for t.
0
Solve 25*n = 14*n + 13*n - 3*g - 0*g - 11, 2*n = -17*g - 89 for n.
-2
Solve 0 = 4*r - 2*o + 40, -7766*r + 5*o - 37 = -7763*r for r.
-9
Solve 2*m + 624460*n - 624465*n - 17 = 0, 3*m + n = 0 for m.
1
Solve -8*k - 4*k - 222 = -f + 294, -90*f + 98*f = -3*k - 129 for f.
0
Solve 0 = 4*q - s - 187, q - 48 = 1180*s - 1181*s for q.
47
Solve 49315*f - 2*b - 8 = 49311*f, -f - 16 = 4*b for f.
0
Solve 3*i - 129 = -0*i, -3*l - 5*i + 235 = -15*l - 113 + 85 for l.
-4
Solve -4*f + 2*y + 16 = 0, -152*y + 298*y = 24*f + 145*y - 74 for f.
3
Solve -1 = -5*f - b, -19*f + 12*f - 2*b = -10*f - 2 for f.
0
Solve 86221*l - 86218*l + 3*v = -27, 4*l + 5*v - 31*v - 114 = 0 for l.
-4
Solve 29939*x - 29935*x + 26 = u, 9*x = u - 51 for x.
-5
Solve -5*h - 15 = -0*h + 3*q, 6678*h - 4*q + 25829 = -1838*h - 25287 for h.
-6
Solve t + 626 = -182*z + 9903, 5*z - 184 - 126 = -34 - 21 for t.
-5
Solve -3*c + 5*y - 85 = 72, -3*c + 43*y - 189 = 46*y for c.
-59
Solve -5*h + 45 + 66 = -4*t, -3*t = -2*t + 5*t + h + 141 for t.
-24
Solve 4*z = -3*w + 36, 21*z - 24*z + w = -30621 + 30633 for z.
0
Solve 2*a = -10*b + 36, -3*a - 1135 = -7*b - 1101 for b.
4
Solve -12*q + 14*q + 3*g = 44, 14*g + 27 = 9*q - 226 for q.
25
Solve -115*j + 360 = -4*r - 58*j - 61*j, 74 = -5*r - j - 0*j for r.
4
Solve -5 - 7 = 5*t - 3*h - 6 - 0, -5*h = 37*t - 146 for t.
3
Solve -x - 34*n - 29*n + 3 + 5 = -64*n, -11*x = -n - 38 for x.
3
Solve 11*m - z = 22, -5*m - 284*z = -289*z + 88 + 2 for m.
4
Solve 14*d - 2146 = 4*k - 1692, -2*k = -2*d + 72 for k.
-5
Solve 4*z + 3*d - 65 = 0, 5*z + 56300*d - 43 = 56309*d for z.
14
Solve 0 = -26*y - 2*z + 26, 13*y + 18*y + 3*z + 2*z = 36*y - 5 for y.
1
Solve 74972*k = 74971*k + 5*a + 27, 2*k + 2*a + 22 = 4 for k.
-3
Solve -l - 10 = 2857*m - 2860*m, l = -5*m + 6 for m.
2
Solve -1331*g + 2666*g - 1339*g - 7*a - 10 = 0, -a = -7*g - 44 for g.
-6
Solve 1173*k + 5*x - 21 = 1175*k, -18 = k + 5*x for k.
-13
Solve 10*a + 22 = 21*t + 13*a -
|
{
"pile_set_name": "DM Mathematics"
}
|
ound h to the nearest 10.
0
Let v = 15 + -21. Let x = v + 3.3. Let w = x - -16.5. Round w to 0 dps.
14
Let t = 147 - 147.158. Let s = t - 0.762. What is s rounded to 1 dp?
-0.9
Let x(s) = -750*s + 55. Let c(t) = -125*t + 9. Let w = 7 - 1. Let i(r) = w*x(r) - 35*c(r). Let b be i(-7). What is b rounded to the nearest 100?
900
Let l = -12.3 - -0.3. Let d = 2 - l. Let w = -13.9999992 + d. Round w to six dps.
0.000001
Let u(g) = -g**3 - g**2 - 8500. Suppose 0*m - m + 3*j = -7, 2*m = -j. Let c be -4 - m/(4/(-16)). Let o be u(c). What is o rounded to the nearest one thousand?
-9000
Let g(a) be the second derivative of -a**4/12 - 4*a**3/3 - 6*a**2 - a. Let z be g(-8). Let y be 2/z + 161/(-42). Round y to the nearest 10.
0
Let b = -1.87 - -10.57. Let l = 9 - b. Let n = 0.22 + l. Round n to 1 dp.
0.5
Let q = 772.83581 - 772.9. What is q rounded to two dps?
-0.06
Suppose -5*m = d + 207005, 5*d + 4*m = 4*d - 207004. Round d to the nearest 10000.
-210000
Let g = 125.994 - -0.006. Let t = g + -125.99999905. Round t to 7 dps.
0.000001
Let t = -158.00435 - -158. Round t to 4 decimal places.
-0.0044
Let n = -1096 - 47. Let h = n + 1143.0509. Round h to two decimal places.
0.05
Let m = -45284.5 - -45305.8431. Let j = 21.3 - m. What is j rounded to 3 decimal places?
-0.043
Let g = 645 - 645. Let r = 3443 - -6759. Suppose -3*n - r - 2098 = g. Round n to the nearest one thousand.
-4000
Let h = -572.923 + 605.6. Let k = h - 32.5. What is k rounded to 2 dps?
0.18
Let k = -277.275921 + 277.26. Round k to 3 dps.
-0.016
Let a(r) = 13*r - 24. Let j be a(4). Let u be 1/4 + ((-4256091)/j - -3). What is u rounded to the nearest 10000?
-150000
Let c = -4.4 + 4.78. Let u = c - -0.22. What is u rounded to one dp?
0.6
Let j be ((-36)/42)/((-4)/(-28)). Let t = 59 + j. Let a = -103 + t. Round a to the nearest one hundred.
-100
Let x = -1343 - -1342.999999313. Round x to 7 dps.
-0.0000007
Let x(s) = 1516*s**2 + 3*s + 37. Let y be x(-7). Round y to the nearest ten thousand.
70000
Let b = 952 + -949.888. Round b to the nearest integer.
2
Let w = -0.450818 + -15.546702. Let r = w + 16. Round r to 4 dps.
0.0025
Let v = 1161 - 1161.0937. What is v rounded to three decimal places?
-0.094
Let h(d) be the first derivative of -85*d**3/3 + d**2 - 2*d + 2. Let v(r) = -r**3 - r**2 + 6*r + 1. Let m be v(-3). Let w be h(m). Round w to the nearest ten.
-90
Let x = 1210 - 1185.64. Let i = -26.7 + x. What is i rounded to one dp?
-2.3
Let g(f) = -13198*f**2 - 2*f. Suppose 0*z - 4 = -4*z. Let s be g(z). Round s to the nearest 1000.
-13000
Let d = 25095.6817 + 179537025.3183. Let t = d + -179562120.15999943. Let r = -0.84 + t. What is r rounded to 7 decimal places?
0.0000006
Let p = 0.0781753 + -0.0782. Round p to 5 dps.
-0.00002
Let c = 18.13186 - -0.02014. Let x = 52 - 34. Let s = x - c. Round s to 2 dps.
-0.15
Let l = -1562.87 + 1553.2727. Let r = 9.65 + l. Let f = 29.0473 + r. What is f rounded to 0 dps?
29
Let b = -238 - -335. Let g = 96.914 - b. Let t = g + -7.514. Round t to the nearest integer.
-8
Suppose 0 = -45*r - 7678632 - 6856368. Round r to the nearest 100000.
-300000
Let q(l) = -l**3 + 3. Let v(h) = -2*h. Let g be v(0). Let x be q(g). Let j be (x - (-16 - -4))*-3000. What is j rounded to the nearest ten thousand?
-50000
Let i = 72195.922 - 72119. Let v = i - 77. What is v rounded to 2 dps?
-0.08
Let c(m) = m**3 + 9*m**2 - 2*m - 13. Let y be c(-9). Suppose y = -0*j + 5*j, 0 = -5*w + 5*j - 860005. What is w rounded to the nearest 10000?
-170000
Let a(v) = -102347*v - 41. Let l be a(-3). Round l to the nearest one hundred thousand.
300000
Let c = 29.65 - 0.65. Let v = c + -29.00011. Round v to four dps.
-0.0001
Let r(s) = -s**3 + 7*s**2 - 7*s + 8. Let c be r(6). Let p = 2 - c. Suppose -14 = -2*i - p. What is i rounded to 0 dps?
7
Let c = 2128728 - 4668728. What is c rounded to the nearest one million?
-3000000
Let d = -10.7979 + 0.0479. Round d to the nearest integer.
-11
Let n = 4 - -5. Let w = 2.62688 + 6.374. Let f = w - n. Round f to 4 dps.
0.0009
Let d = -17616 - -17419.66. Let u = d - -193. What is u rounded to one decimal place?
-3.3
Let j = -0.027 + -1.373. What is j rounded to the nearest 10?
0
Let f = 341430483 - 341430497.3000071. Let h = 14.147 - -0.153. Let d = h + f. Round d to six decimal places.
-0.000007
Let k = 0.96534 + -0.2646. Let h = 0.7 - 1.4. Let i = h + k. What is i rounded to 4 decimal places?
0.0007
Suppose -46001 = 2*q + c, -q + 4*c + 6769 - 29765 = 0. What is q rounded to the nearest ten thousand?
-20000
Let b = -1561.0001153 + 1561. What is b rounded to five dps?
-0.00012
Let v = -3192.006623 - -3192. What is v rounded to 4 dps?
-0.0066
Let u = -1.14 - 125.86. Let c = u + 127.00225. Round c to 4 dps.
0.0023
Suppose 15*v + 9 = 18*v. Suppose -3*r - v*a = 2100015, 4*a - 275706 - 424274 = r. Round r to the nearest 100000.
-700000
Let o = -134 + 220. Let q = -85.989 + o. Round q to two dps.
0.01
Let t(k) = 3999*k**2 - 6*k - 26. Let y be t(8). Let a = -1384138 - y. Round a to the nearest 1000000.
-2000000
Let c = -532297.0043 - -532236. Let u = -61 - c. Round u to three decimal places.
0.004
Let a = 162.91 - 163. Let y = 41.9184 + -42.0084044. Let s = a - y. What is s rounded to 6 decimal places?
0.000004
Let x(f) = 2*f**3 + f**2 + 14*f + 16. Let b be x(-8). Round b to the nearest 10.
-1060
Suppose 27 = 3*y - 12. Let h be 56/(-196) - y*(-38)/14. Round h to the nearest ten.
40
Let f = -68 + 68.476. Let r = f + -0.4759747. What is r rounded to five decimal places?
0.00003
Suppose 0 = -2*x + 25 + 95. Round x to the nearest one hundred.
100
Let v = -391 - -388.73. Let f = 3.22301 + -5.4942. Let a = f - v. Round a to 4 dps.
-0.0012
Let b = 258.8 + -229. What is b rounded to 0 decimal places?
30
Let c(k) = -k**3 - 4*k**2 - 3*k + 2. Let w be c(-4). Suppose -w*b = -10*b - 4000. Round b to the nearest ten thousand.
0
Let z be (42/8)/(2/1083832). Let q(v) = -1003764*v**2 - v - 5. Let j be q(-2). Let l = j + z. What is l rounded to the nearest 100000?
-1200000
Let n = -391.1 + 397. Round n to 0 decimal places.
6
Suppose 0 = 3*c - 5*c + 4. Let z(h) = 4*h**3 + 2*h**2 + h**2 - 2*h**2 - 14 + h - c*h**3. Let y be z(6). What is y rounded to the nearest 100?
500
Let u = -0.870038 + 0.87. Round u to 5 dps.
-0.00004
Let g = -954.9091 + 955. Round g to three decimal places.
0.091
Let h = 86175.0500026 + -86175. Let u = h + -0.05. What is u rounded to 6 dps?
0.000003
Let o = 150.7 + -178.71. Let b = o - -28. Let g = b - 0.37. What is g rounded to 1 decimal place?
-0.4
Let u = -1737.4935 + 1733. Let d = u - -4.5. Round d to 3 dps.
0.007
Suppose 17*u - 8358000 = 11*u. What is u rounded to the nearest one hundred thousand?
1400000
Let v(l) be the second derivative of l**5/20 - l**4/12 - l**3/6 + 4900*l**2 - 4*l. Let f be v(0). What is f rounded to the nearest 1000?
10000
Let g = -16061801 + 16061790.999983. Let y = g - -10. What is y rounded to 5 dps?
-0.00002
Suppose -4*a - a = -2300740. Let r = -2486730 + 1106878. Let s = r - a. What is s rounded to the nearest 100000?
-1800000
Let r = 99 + -99.51. Let p = -1300.19 - -1306. Let w = p + r. Round w to 0 dps.
5
Let a = 154 + -152.38. Let l = -2 + a. Round l to 1 decimal place.
-0.4
Let c = 1235 + 811. What is c rounded to the nearest 1000?
2000
Let h = -4163252662 - -4163252560.00000073. Let t = -1 - 101. Let m = h - t. What is m rounded to 7 dps?
0.0000007
Let u = 0.009 + 375.991. Let v = 378.43 - u. What is v rounded to one dp?
2.4
Let u = -3819 - -3818.98337. Round u to 3 dps.
-0.017
Let l = -14946.000006149 + 14946. What is l rounded to six dps?
-0.000006
Let l = -6537126597962891.76999769 + 6537133173415026.67. Let r = l - 6575452104. Let g = -30.9 + r. Round g to seven dps.
0.0000023
Let r = -2427.999998173 - -2428. Round r to 7 dps.
0.0000018
Suppose 28*k - 590189829 = 115410171. Let r = -4 + 7. Suppose r*t = t + k. What is t rounded to the nearest one million?
13000000
Let f = 7353 + -7353.013044. What is f rounded to 4 dps?
-0.013
Let t = -2.159 - -2.160079. What is t rounded to three decimal places?
0.001
Let x = 46.971 - -0.029. Let f = x - 47.038. Round f to two decimal places.
-0.04
Let b = 1.44516 - 91.32216. Let r = 90 + b. What is r rounded to one decimal place?
0.1
Let v = -1290.003398 + 1290. Round v to four decimal
|
{
"pile_set_name": "DM Mathematics"
}
|
, -5*j + 4 = -v*c for c.
3
Let h(p) = -p**3 + 33*p**2 - 31*p - 108. Let s be h(32). Let d be (-1 + 21)*(s/8)/(-19). Solve d = 5*u, 4*m - 4 + 6 = -3*u for m.
-2
Let x = 15384 + -15379. Solve 5*d - 6*d - 5 = 5*t, -x*t + 10 = 4*d for d.
5
Let m = -89 + 101. Suppose -13*y = -m*y + 100. Let f = y - -103. Solve 0 = -w + 5*j - 10, 30 + 0 = f*w + 5*j for w.
5
Suppose 13*i - 110 + 45 = 0. Solve b + i = -2*q, 3*b = -q - 8 + 3 for b.
-1
Suppose 100 = 4*t - 4*f, 0 = -3*t - 255*f + 259*f + 78. Solve 13 + t = 4*a + 5*z, z - 13 = -2*a for a.
5
Suppose 0 = -23*n - 13*n - 9*n + 675. Solve 6*y - 8*y = 5*r - n, 0 = -3*y - 15 for r.
5
Let j(l) = 8*l + 55. Let m be j(-8). Let d = m - -9. Suppose d = -15*n + 36 + 24. Solve -3*i + n*i - 4*h = -16, 3*i - h + 4 = 0 for i.
0
Let w be (-2)/((-8)/28)*12/7. Suppose w*k - 5*k = 35. Suppose v + q = -2*q + 17, 0 = -3*q + 15. Solve 35 = 5*m + k*n, 0*n - v*n = -3*m - 4 for m.
2
Let w be 35 + ((-6)/(-36) - 19/6). Suppose 20*q - w = 12*q. Solve 8 = -3*n + q*j, 0*n + 4 = -n + 2*j for n.
0
Suppose -2*w - 5 + 17 = 0. Suppose -x = -h - 1 + w, 4*h = -x + 10. Suppose h*y = 3*j + 42, -3*y + 2*j = -29 - 13. Solve -g = -f - 3 - 0, 3*g - y = -2*f for g.
4
Let q be 50/(-210)*-7 + (-8)/(-6). Solve 0 = m + q, -4*u + 3*m + 11 = 2*m for u.
2
Suppose -237 + 0 = 5*o + a, -o - 39 = 3*a. Let u = 48 + o. Suppose u = -4*i + 6 + 10. Solve -3 = 4*f + 13, i*m + 8 = -5*f for m.
3
Suppose 0 = -3*b - 4*d + 304 + 190, 2*b = 2*d + 334. Let o = b - 162. Solve q - o = -0*r - 2*r, -7 = -r - 3*q for r.
1
Suppose -3*s - 18 = 6*t - 3*t, -2 = -3*s + 2*t. Let j be ((0/s)/(-1))/2. Solve -7*p + 6 = 2*h - 2*p, j = 5*p - 10 for h.
-2
Let k = 2398 + -2394. Let r(t) = t**3 - 3*t**2 - 3*t + 1. Let o be r(4). Solve -m - k = -x - 0*m, 3*x + o*m = -4 for x.
2
Suppose -10*n = -5*n - 10. Suppose 5*k - 12 = 2*t, -k + 5*k - n*t = 8. Suppose 3*s - 11 = k. Solve 3*w + d + 8 = 0, -w - s*d - 17 - 9 = 0 for w.
-1
Let i = -16282 - -16306. Solve 3*u - i = 3*g, 5*g - 9*u = -7*u - 31 for g.
-5
Let v(s) = s**2 - 2*s - 2. Let i be v(-1). Let f be (-2)/(-5)*i - (-6)/10. Let b be (-3 - 24/(-3))/f. Solve 0 = 4*c + 3*y - 11, 3*c + b*y - 3*y = 9 for c.
5
Let s(j) = -j**3 - 30*j**2 + 617*j + 48. Let r be s(-44). Solve -2*n - r*c + 90 = 100, 4*c = 2*n - 6 for n.
-1
Suppose -3*z - 19*q + 18*q - 3 = 0, -3*z + q = 9. Let w be z/19 - 3744/(-912). Solve -3*i = v - 2*i - w, 0 = -2*i + 4 for v.
2
Let u(c) = -c**2 + 8*c - 3. Let j be u(4). Suppose 6*x = 2*x - 4. Let l be (-12)/(x - 2) + (-9 - -5). Solve k + 4*k - y = -j, 4*k + 4*y - 4 = l for k.
-2
Suppose 38*o - 143 - 85 = 0. Suppose o*f - 190 = -4*f. Solve 2*y + 3*y - v = -9, 0 = 3*y - 4*v + f for y.
-1
Let q(p) = p**3 - 25*p**2 - 605*p - 70. Let u be q(-15). Let d = 44 + -4. Suppose d = 3*a - 20. Solve 3*r + 5*w + 14 = 0, u*w = -0*w - a for r.
2
Let h(c) be the third derivative of -c**4/8 + 3*c**3 + 33*c**2. Let b be h(6). Solve b = -3*y - 3*k - 14 + 32, 4*y - 4*k = 8 for y.
4
Let l(z) = 9*z**3 - 2*z**2. Let q be l(2). Suppose q = -4*f - 4*f. Let k be f/(-24)*9/1. Solve k*x = -0*x - 3*u, -x - 5*u = 16 for x.
4
Let l(w) = w**3 + 5*w**2 - 11*w - 21. Let g be l(-6). Let z(o) = -36*o + 346. Let h be z(g). Solve 0 = -j + 2*t + 3, 5*j + 2*t - h = 5 for j.
5
Let d(a) = 3*a**3 - 2*a**2 - 12*a - 5. Let v be d(3). Suppose -29*b + v*b = -21. Solve b = -t, -f - t - t - 1 = 0 for f.
5
Let z be (-28)/8*(-32)/28. Suppose -4*x + 22 + 8 = -3*y, 4*x = -z*y + 44. Suppose 4*a = -1 + x. Solve -i + 3 = -c + a, -21 = -i - 4*c for i.
5
Let c(x) = 7*x + 32. Let t be c(-14). Let f = -35 - t. Suppose -o = 2*h, -2*h + 0*o = 4*o + 12. Solve 3*s + h*s - 2*w = -f, 3*w + 11 = -4*s for s.
-5
Let k(x) = -111*x - 4881. Let y be k(-44). Solve -2*u = 17*m - 7*m - 30, 0 = y*m + 5*u + 13 for m.
4
Suppose -2*d = -3*t + 8, -t - 181 = 5*d - 195. Solve 5*k = -3*a + 2, -t*a + 7*a - 14 = k for a.
4
Let o be 5/1*1 - (-72 + -15 - -51). Solve z + o = -x + 32, -41 = 4*z + 5*x for z.
-4
Let o be -6*((-52)/(-12) - 4). Let k be 23/o*2*-1. Let g = k + -19. Solve 4*f = g*l, -4*l = 3*f - 0*f - 21 for f.
3
Let n be (7 + 180/(-28))*42. Suppose -w = 5*r - n, 9*w - 3*r - 8 = 4*w. Solve 0 = 3*u - 2*d + w, -u = -3*d - 1 - 0 for u.
-2
Let s be 8 + -1 - (15 + -4). Let j be (-10)/(10/s - 0). Solve -j*z + 2*x = -2*x - 28, x = -z - 1 for z.
3
Suppose 867*u - 4317*u - 187*u = -36370. Let s(c) = -2*c**3 + c**2 - 1. Let d be s(-1). Solve -3*b - y = 10, d*b + 2*y + 2*y = u for b.
-5
Let a(z) = 2*z**2 - z - 26. Let h be a(4). Solve -19*u + 1 = -y - 15*u, 0 = -3*y + h*u + 7 for y.
3
Suppose 15*u = 19*u + 33*u. Solve 5*r - 5*z = -35, u = 2*r + r + 4*z for r.
-4
Let n be (116/464)/(2/(-4))*(-20)/2. Let l be (-3)/(1/4*-3). Solve -4*g = n*h + 11, 7*h - 2*g = l*h - 11 for h.
-3
Let q(x) = -3*x + 53. Let b be q(16). Suppose 0 = b*y + 14 - 19. Let h be 23/(-4)*(-3 - y). Solve -2*w - 1 = -3*c, 5*c + 2*w - h = -0*w for c.
3
Let u = 18021 - 17989. Solve 0 = 7*c - 3*n + u, -c - 1 = -41*n + 37*n for c.
-5
Let h = -389 - -396. Suppose 12*i - h*i + 17 = -v, -7 = -5*v - 2*i. Solve 2*d + 1 = v*d, -3*d - 17 = -5*k for k.
4
Let h = 8812 - 8793. Suppose -4*d + 79 = 5*q, -90 = -3*q + 2*d - 25. Let b = q - h. Solve -2*p + 18 = m - 6*m, p + 2*m = b for p.
4
Let n(l) = 5 + 0 + l - 3*l. Let w(c) = -c**3 - 3*c**2 + 6*c + 18. Let z be w(-3). Let b be n(z). Solve 5*f = 4*x - 10 - 3, -b*x = -10 for f.
-1
Suppose 2*w - 36 = -5*m, -2*m + 69 = 3*w + 70. Solve f = 8*y - m*y - 2, 3*y + 4*f + 8 = 0 for y.
0
Let q(o) = o**3 - 38*o**2 + 195*o - 96. Let w be q(32). Let u(k) = k**3 + 8*k**2 + 3. Let c be u(-8). Solve -n = c*r + n - 11, w = -5*r + n + 27 for r.
5
Let h(b) = -11*b**2 + 3*b + 8. Let i(y) = -24*y**2 + 5*y + 15. Let l(o) = -13*h(o) + 6*i(o). Let g be l(-7). Solve g*j + 5 = -4*j + 5*n, -5*n = 5*j - 5 for j.
0
Suppose z - 4*r - 15*r = -17, 0 = -z + 2*r. Solve 0 = -3*m + 2*g + 10, -z*g = 2*m - 0 - 10 for m.
4
Let s = 37 - 35. Let t be 20/90*9 - (1 - 1). Solve s*n = -t, -1 = 4*o + 4*n - 5 for o.
2
Suppose 0 = 3*g + 3*k + 6, -5*k - 5 = 3*g + 9. Let a(m) = -3689*m - 33196. Let o be a(-9). Solve 0 = o*f + 4*w - 1, f = 4*f - g*w + 17 for f.
-3
Suppose -4 = o - 2, -219 = -n + 3*o. Let m = n + -125. Suppose 0 = m*j - 82*j. Solve -4*q + s + 1 = j, -6*s + 2*s = 5*q - 17 for q.
1
Let g = 215 - 178. Let d = 42 - g. Solve -5*h = d*u - 4*h + 6, 3*u - 2 = 5*h for u.
-1
Suppose -8*w + 4*w - 3*m + 977 = 0, -5*m = 2*w - 499. Let l = w + -238. Solve -b - t = -5*b + 20, -4*b - 5*t - l = 0 for b.
4
Let x be -1 - (-7)/(70/40). Solve -x*v = 5*k + 35, k + 41 = -v + 32 for k.
-4
Let h(k) = -47*k**2 + 57*k - 7. Let p be h(1). Solve -4*u = -p*w + 26, -2*w + 5*u = 10*u + 21 for w.
2
Suppose 5*r = -4*k + 110, -2*k + 5*r + 294 - 284 = 0. Solve 2*q = k*n - 22*n + 4, -3*n + q + 14 = 0 for n.
4
Let i(j) = j**2 + 7*j - 13. Let f be i(-9). Let b = -134 - -162. Suppose 53 - b = f*c. Solve 0*k + 4*k = -5*z + 9, 5*z + 5*k = c for z.
5
Let x = 10625 - 10610. Solve 0 = -5*k - 2*u - 10, -u - x = 9*k - 4*k for k.
-4
Let f(i) = -i**3 - 47*i**2 + 150*i + 2. Let p be f(-50). Solve p*j - 10 = -3*d + j, 4*d + 2*j = 14 for d.
3
Suppose -1108*s = -1113*s - 5*w + 120, -5*w = 3*s - 82. Solve 5*l = -i - s, 5*l + 4*i + 15 = -16 for l.
-3
Suppose 0 = -3*a - 15*a - 270. Let q be -10*a/25 + 3. Solve 5*w = 2*o + 2*o + 1, 4*w = -5*o + q for w.
1
Let g = 1194 - 1186. Solve -3*o + 2*d = -15 + g, -3*d = -5*o + 12 for o.
3
Let v = -294 + 309. Let p be (v*(-2)/(-12))/(1/2). Solve -5*j = -3*h + 34, -p*j - 26 + 1 = 0 for h.
3
Let y(f) = 6*f**2 + 11*f - 12. Let b be y(1). Solve -k = -j + 2 + 1, 2*j + b*k - 6 = 0 for j.
3
Suppose -19*y + 10*y = -81. Suppose 5*p - 15 = -0*p + 5*z, 0 = 2*p + z - y. Solve 3*f = p*t - 21, -5*f + 2*t - 6*t = 3 for f.
-3
Let a(p) = 35*p + 2369. Let m be a(-67). Solve -5*r = 4*w - m, -2*w + 7 - 9 = -r for w.
1
Let b be (4/(-6))/(4/(-18)). Suppose -4*t - 218 = 78. Let i = t + 96. Solve -4*o - i = -3*x - 7, 3*x = b for o.
-3
Suppose 0 = d - 3*b + 62 - 45, d = 2*b - 11. Let h be 7 + ((-2)/(-1))/2. Solve 5*f - h = 4*o, -4*o - 7 = -2*f + d for f.
0
Let z(w) = w + 16. Let o be z(-10). Let x(a) = a**2 + 8*a + 4. Let f be x(-6). Let r be 12/4 - (-9 - f). Solve 3*n + 4*d + o = 0, d - 7 = n + r*d for n.
2
Suppose -13*h = -30 - 35. Suppose h*r + 326 = 2*z, r + 38 = -2*z - 32. Let m = r - -68. S
|
{
"pile_set_name": "DM Mathematics"
}
|
6?
-1640*v**2 - 2*v - 30056
What is the b'th term of -7098, -7601, -8104, -8607?
-503*b - 6595
What is the m'th term of -98783, -197434, -296085?
-98651*m - 132
What is the u'th term of -50565, -101668, -153303, -205464, -258145, -311340, -365043, -419248?
u**3 - 272*u**2 - 50294*u
What is the u'th term of 1790155, 1790148, 1790137, 1790122?
-2*u**2 - u + 1790158
What is the g'th term of 19605, 19515, 19367, 19161, 18897?
-29*g**2 - 3*g + 19637
What is the r'th term of -3254, -6404, -9462, -12428, -15302?
46*r**2 - 3288*r - 12
What is the q'th term of -4258676, -8517350, -12776024?
-4258674*q - 2
What is the w'th term of 139127, 556411, 1251885, 2225549, 3477403, 5007447?
139095*w**2 - w + 33
What is the i'th term of 822120, 822149, 822178, 822207, 822236?
29*i + 822091
What is the w'th term of -4471471, -4471474, -4471475, -4471474, -4471471, -4471466, -4471459?
w**2 - 6*w - 4471466
What is the x'th term of 3592, 5062, 6544, 8038, 9544, 11062?
6*x**2 + 1452*x + 2134
What is the c'th term of -498677, -997412, -1496147?
-498735*c + 58
What is the z'th term of 23126, 22795, 22474, 22169, 21886, 21631?
z**3 - z**2 - 335*z + 23461
What is the v'th term of -2101, -7465, -12829, -18193, -23557?
-5364*v + 3263
What is the x'th term of 6397, 16726, 27055, 37384, 47713, 58042?
10329*x - 3932
What is the p'th term of 2236, 8977, 20252, 36091, 56524, 81581?
5*p**3 + 2237*p**2 - 5*p - 1
What is the p'th term of 64125, 128362, 192715, 257184?
58*p**2 + 64063*p + 4
What is the k'th term of -1505981, -3011963, -4517945, -6023927, -7529909, -9035891?
-1505982*k + 1
What is the s'th term of -664084, -1329121, -1994158, -2659195, -3324232?
-665037*s + 953
What is the x'th term of 20832, 41834, 62836?
21002*x - 170
What is the b'th term of 47546, 380259, 1283322, 3041909, 5941194?
47529*b**3 + b**2 + 7*b + 9
What is the m'th term of -1745, -1859, -1971, -2081, -2189, -2295, -2399?
m**2 - 117*m - 1629
What is the k'th term of -194120, -193405, -192690, -191975, -191260, -190545?
715*k - 194835
What is the m'th term of 81, 182, 341, 558, 833, 1166, 1557?
29*m**2 + 14*m + 38
What is the w'th term of 8464, 33937, 76408, 135877, 212344, 305809?
8499*w**2 - 24*w - 11
What is the h'th term of 25807354, 25807352, 25807350, 25807348, 25807346?
-2*h + 25807356
What is the i'th term of -50316281, -50316268, -50316247, -50316218, -50316181, -50316136?
4*i**2 + i - 50316286
What is the n'th term of 7353, 30280, 68445, 121854, 190513, 274428?
n**3 + 7613*n**2 + 81*n - 342
What is the h'th term of -4947, -7675, -12215, -18561, -26707, -36647, -48375, -61885?
h**3 - 912*h**2 + h - 4037
What is the p'th term of 31066, 30993, 30798, 30421, 29802, 28881, 27598?
-10*p**3 - p**2 + 31077
What is the j'th term of -7120, -11165, -17920, -27385, -39560, -54445?
-1355*j**2 + 20*j - 5785
What is the z'th term of 12909700, 12909699, 12909698, 12909697, 12909696, 12909695?
-z + 12909701
What is the n'th term of -2116268, -2116277, -2116286, -2116295, -2116304?
-9*n - 2116259
What is the r'th term of -8511727, -17023450, -25535171, -34046890, -42558607, -51070322?
r**2 - 8511726*r - 2
What is the v'th term of -1332, -587, 158, 903, 1648?
745*v - 2077
What is the p'th term of 412709, 413317, 413925, 414533, 415141?
608*p + 412101
What is the c'th term of 1636406, 3272823, 4909242, 6545663, 8182086?
c**2 + 1636414*c - 9
What is the o'th term of 11769, 11327, 10895, 10479, 10085?
o**3 - o**2 - 446*o + 12215
What is the f'th term of 78575, 157510, 236445?
78935*f - 360
What is the j'th term of -31015885, -31015887, -31015889, -31015891, -31015893, -31015895?
-2*j - 31015883
What is the u'th term of 1490, 3723, 6638, 10235?
341*u**2 + 1210*u - 61
What is the y'th term of -1121, -4513, -10179, -18131, -28381, -40941, -55823?
-2*y**3 - 1125*y**2 - 3*y + 9
What is the w'th term of 39954, 159770, 359460, 639024?
39937*w**2 + 5*w + 12
What is the q'th term of -12774, -25539, -38300, -51057?
2*q**2 - 12771*q - 5
What is the z'th term of -1704, -7176, -16436, -29490, -46344, -67004?
-z**3 - 1888*z**2 + 199*z - 14
What is the o'th term of 582913, 581988, 581063, 580138, 579213?
-925*o + 583838
What is the x'th term of 29766, 29767, 29768?
x + 29765
What is the u'th term of 269512, 1078045, 2425600, 4312177, 6737776?
269511*u**2 + 1
What is the b'th term of -1914577, -1914546, -1914515, -1914484, -1914453, -1914422?
31*b - 1914608
What is the t'th term of -557, -435, -303, -155, 15, 213, 445?
t**3 - t**2 + 118*t - 675
What is the f'th term of -813565, -1626830, -2440095?
-813265*f - 300
What is the y'th term of 2083, 2577, 3061, 3529, 3975, 4393, 4777, 5121?
-y**3 + y**2 + 498*y + 1585
What is the p'th term of 385181, 1540671, 3466429, 6162407, 9628557, 13864831?
-8*p**3 + 385182*p**2 + 7
What is the x'th term of -201115, -402096, -603077, -804058, -1005039?
-200981*x - 134
What is the i'th term of -27704, -55520, -83376, -111272?
-20*i**2 - 27756*i + 72
What is the z'th term of 15100, 30914, 46728, 62542, 78356?
15814*z - 714
What is the s'th term of -21428, -21444, -21450, -21446, -21432?
5*s**2 - 31*s - 21402
What is the u'th term of -938, -1862, -2764, -3644, -4502, -5338?
11*u**2 - 957*u + 8
What is the p'th term of -13981, -54719, -122215, -216469?
-13379*p**2 - 601*p - 1
What is the o'th term of 109575, 224047, 338521, 452997, 567475, 681955?
o**2 + 114469*o - 4895
What is the o'th term of -1726, -6790, -15196, -26944, -42034?
-1671*o**2 - 51*o - 4
What is the s'th term of -3360660, -13442637, -30245932, -53770545?
-3360659*s**2 - 1
What is the f'th term of 503042, 502970, 502784, 502430, 501854, 501002, 499820?
-9*f**3 - 3*f**2 + 503054
What is the w'th term of 91101, 91120, 91123, 91104, 91057, 90976, 90855, 90688?
-w**3 - 2*w**2 + 32*w + 91072
What is the w'th term of 39, 789, 1995, 3657, 5775, 8349?
228*w**2 + 66*w - 255
What is the o'th term of -3550, -7111, -10494, -13609, -16366?
15*o**3 - o**2 - 3663*o + 99
What is the o'th term of -21345, -85400, -192159, -341622?
-21352*o**2 + o + 6
What is the g'th term of 3103355, 3103302, 3103249?
-53*g + 3103408
What is the h'th term of -2206416, -2206413, -2206410, -2206407?
3*h - 2206419
What is the h'th term of -2320, -3836, -6364, -9910, -14480, -20080?
-h**3 - 500*h**2 - 9*h - 1810
What is the j'th term of -278, -876, -1498, -2156, -2862, -3628, -4466?
-2*j**3 - 584*j + 308
What is the b'th term of -5070, -40391, -136198, -322725, -630206, -1088875, -1728966, -2580713?
-5039*b**3 - 9*b**2 - 21*b - 1
What is the s'th term of 2419, 1328, -487, -3026, -6289, -10276, -14987?
-362*s**2 - 5*s + 2786
What is the v'th term of -550744, -550732, -550704, -550654, -550576, -550464, -550312?
v**3 + 2*v**2 - v - 550746
What is the j'th term of -2101, -4724, -8393, -13630, -20957, -30896?
-87*j**3 - j**2 - 2011*j - 2
What is the f'th term of -4565, -9091, -13683, -18377, -23209?
-6*f**3 + 3*f**2 - 4493*f - 69
What is the a'th term of -4242, -17103, -38624, -68805, -107646, -155147?
-4330*a**2 + 129*a - 41
What is the t'th term of -6659112, -6659072, -6659032, -6658992, -6658952?
40*t - 6659152
What is the v'th term of 3884, 3827, 3674, 3419, 3056, 2579, 1982?
-v**3 - 42*v**2 + 76*v + 3851
What is the v'th term of -577294957, -577294958, -577294959, -577294960, -577294961?
-v - 577294956
What is the z'th term of -62537, -62580, -62653, -62756?
-15*z**2 + 2*z - 62524
What is the u'th term of 6664734, 13329469, 19994204?
6664735*u - 1
What is the n'th term of -52335006, -52335007, -52335008, -52335009, -52335010?
-n - 52335005
What is the j'th term of -18786, -150487, -507982, -1204167, -2351938, -4064191?
-18816*j**3 - j**2 + 14*j + 17
What is the u'th term of -1499, -3302, -5735, -8804, -12515, -16874, -21887?
-u**3 - 309*u**2 - 869*u - 320
What is the a'th term of 11532080, 23064165, 34596254, 46128347, 57660444, 69192545, 80724650?
2*a**2 + 11532079*a - 1
What is the r'th term of -34510, -68603, -102700, -136801, -170906, -205015, -239128?
-2*r**2 - 34087*r - 421
What is the s'th term of 7392, 14791, 22178, 29547, 36892, 44207, 51486?
-s**3 + 7406*s - 13
What is the u'th term of 2019, 15101, 50565, 119601, 233399, 403149, 640041, 955265?
1865*u**3 + u**2 + 24*u + 129
What is the q'th term of 15486, 30919, 46346, 61767, 77182, 92591?
-3*q**2 + 15442*q + 4
|
{
"pile_set_name": "DM Mathematics"
}
|
-7007 + 126089/18. Find the common denominator of a and (-2)/4 - 258/(-40).
180
Suppose 4*y - 3*h + 13009 = 0, h + 3*h - 6512 = 2*y. Let l = 26055/8 + y. What is the common denominator of l and 79/8?
8
Suppose 0 = 10*s - 9 - 31. Calculate the common denominator of 86/(-16) - (1 - -1) and -4 - (440/(-28) + s).
56
Let q = 77013/110 - 700. Calculate the common denominator of q and -25/6.
330
Let f = -17653300887/425419880 - 3/3247480. Let k = f + -1/262. What is the common denominator of k and ((-3)/15)/(4/(-530))?
2
Suppose m = 2*j + 1 - 0, 0 = -m - j + 4. Let h(u) = -u**3 + 4*u**2 + 2*u - 7. Let z be h(m). What is the smallest common multiple of 8 and (-8)/32 - (-42)/z?
40
Let j = 435 + -419. Calculate the least common multiple of 16 and j.
16
Let f be ((4 - 0) + 24)*3/4. Suppose -12*z = -f*z + 72. What is the smallest common multiple of 24 and z?
24
Let i(u) = -99*u**3 - u**2 + u + 1. Let s be i(-1). Calculate the common denominator of (-826)/s*(-1 - 0) and 12/13.
91
Let m = -68019/10 - -6791. Calculate the common denominator of m and 62/6*3/(-7).
70
Let r = 55/326 + -117143/163. Let i = r + 7885/11. Calculate the common denominator of i and (-1240)/1008 + (6/(-21))/(-1).
198
Suppose 4 = u - 4. Suppose 0 = 36*a - 39*a + 6. Suppose 6*q - 32 = a*q. Calculate the smallest common multiple of q and u.
8
Let f = 464 + -308. Suppose 4*r - 34 = 38. Calculate the smallest common multiple of r and f/7 - ((-20)/(-35))/2.
198
Let z = 30 + -27. What is the smallest common multiple of z and 4?
12
Suppose 2*a - 4*t = 22, -5*a = t - 4*t - 34. Calculate the smallest common multiple of a and 16.
80
Let k(h) = -h**3 + 11*h**2 + 9. Let w(f) = 2*f - 5. What is the smallest common multiple of k(11) and w(8)?
99
Suppose 0 = -7*v + 19 + 2. Calculate the lowest common multiple of 11 and v.
33
Let z(g) = -6*g**3 + 3*g**2 - 7*g + 2. Let k be z(-7). Let u = k - 17975/8. Calculate the common denominator of 145/12 and u.
24
Let d(k) = 85*k - 5. Let g be d(-2). What is the common denominator of g/40 - (0/1)/(-1) and 17/58?
232
Let q = -1764 + 2028. Calculate the lowest common multiple of q and 121.
2904
Suppose 5*t + 3 = -3*l + 36, 2*l - 3 = 3*t. Let c(o) = -19*o - 182. Calculate the lowest common multiple of c(-11) and l.
54
Suppose i - 60 = -3*i - 4*t, 2*i - 31 = -t. Suppose -5*u - 2*a = 3*a + 10, 0 = 4*a - i. Find the common denominator of 139/6 and 0 + (-99)/84*u.
42
Let m(t) = t**3 - 2*t**2 + 2*t + 72. What is the lowest common multiple of m(0) and 81?
648
What is the common denominator of (54 - 65) + (-317)/(-33) and 1/21?
231
Let v = -292 - -296. What is the lowest common multiple of 14 and v?
28
Let u(o) = -o + 33. What is the lowest common multiple of u(-49) and 66?
2706
Suppose 0 = -a + 1 + 16. Let f(y) = -y**3 + 17*y**2 + y - 6. What is the least common multiple of (-4)/(-20) - 49/(-5) and f(a)?
110
Let r = 265/234 + 70/117. Find the common denominator of 99/14 and r.
182
Suppose 0 = 3*s + 1 - 4. Let y = -1107/2 + 577. Calculate the common denominator of y and s/(-3) + 84/(-27).
18
Let x = 100 + -96. Suppose x*t + f - 2 = 3, 2*f - 2 = 0. What is the least common multiple of 8 and t?
8
Let o = 62061807/76 - 816590. Let n = 142/19 - o. Find the common denominator of 127/6 and n.
12
Suppose 2*h = -2*x + 50, 0*h - 2*h + 108 = 4*x. Let q = -1 - 1. Find the common denominator of -3 + (q - x/12) and -9/10.
60
Suppose -4*y + g + 41 = 0, -y + g + 9 = 2*g. What is the smallest common multiple of y and 108?
540
Suppose -3*v - 26 = 64. Let c = v - -42. Let x = -274 - -284. Calculate the lowest common multiple of c and x.
60
Let a = 128375/6 - 21394. Calculate the common denominator of a and -1 + -1 + (-14)/4.
6
Suppose 2*l = 4*r - 0*l - 14, -r = -5*l + 1. Find the common denominator of (897/182)/(r/7) and 12/(-25)*15/(-2).
40
Suppose -6*o - 232 = 116. Let m = 67 + o. What is the smallest common multiple of 27 and m?
27
Let t = -10459/48480 - -22/101. What is the common denominator of 91/20 and t?
480
Suppose 3*d - v = 4*d - 179, -d + 2*v = -182. Let h be (-11797)/d + (-1 - -1). Let s = h - -584/9. What is the common denominator of s and -23/8?
40
Let h = 8 - 2. Suppose -5*z - 8*a = -9*a - 100, 5*a - 4 = z. What is the smallest common multiple of h and z?
42
Let m = -209 + -223. Let z = 68830/11 + -6262. What is the common denominator of z and (-2)/(-15) - m/(-40)?
33
Let a = -14009 - -448247/32. What is the common denominator of a and 92/(-276) + 265/(-24)?
32
Suppose 2*h - 3*u + 1 = -3, 0 = 4*h - 4*u. Suppose -5*y - 5 = 0, h*v + 0*v - 3*y = 35. Calculate the lowest common multiple of ((-16)/v)/(-1*1) and 4.
4
Let f(n) = n - 6*n**2 + 6*n**2 + 5*n**2 - 5 - n**3. Let j be f(5). Find the common denominator of 0 - (164/(-28) - j) and 69/8.
56
Let i = 388 + -379. Calculate the smallest common multiple of 6 and i.
18
What is the lowest common multiple of ((-8)/6 + 1)/(7/(-567)) and 27?
27
Let s = 26 + -24. Let i = -4 + 12. Calculate the smallest common multiple of i and s.
8
Let n(x) = 5*x**2 + 14*x + 1. Let m = 47 - 28. Let d = m + -12. Calculate the least common multiple of n(-3) and d.
28
Let h = -82801/12 - -6912. Calculate the common denominator of h and 53/12.
12
Suppose -14*x = c + 50, -10 = -2*c - 2*x - 6. Calculate the least common multiple of 2/(-9) - 209/(-9) and c.
138
Let y be ((-28)/(-10) - 2)*-5. Let k = y - -7. Find the common denominator of (-14)/(-33) + 2/k and -3/8.
88
Let b(p) = p**2 - 2*p - 2*p - 7 - 2. Let z(q) = -q**2 - 6*q - 2. What is the lowest common multiple of b(7) and z(-4)?
12
Let k = 6653 + -93255/14. What is the common denominator of (-186)/8 - (-1)/1 and k?
28
Let t = 2542 - 1735. Calculate the least common multiple of t and 9.
2421
Let z = 17 + -7. Let h(t) = 2*t**2 + 6*t. Let y be h(-5). Let f = -10 + y. Calculate the least common multiple of f and z.
10
Suppose 0 = -0*o + o - a + 1753, -8757 = 5*o + 3*a. Let u be o/(-738)*10/16. Let t = u - -2/123. Find the common denominator of 36 and t.
2
Let d be ((-1)/((-4)/1468)*1)/(-1). Let q = d + 3647/10. Calculate the common denominator of -51/7 and q.
70
Let d(o) be the second derivative of 9*o**5/20 + o**2/2 + 34*o. What is the least common multiple of d(1) and 14?
70
Let b be (60/(-63))/(36/6). Let u = 152/63 - b. Find the common denominator of u and 25/4.
28
Let f = -22410 - -223839/10. Let a = -53/2 - f. Let p = 2/32003 - -4256375/384036. Find the common denominator of p and a.
60
Let p = -26441/6 + 4387. Let n = -46160363741/12177944010 + -150/1712791. Let z = n + 27/395. What is the common denominator of p and z?
18
Calculate the common denominator of -145/6 and (-38)/((-9728)/21 - (-92)/161).
2082
Suppose 3*f = 4*f - 8. Suppose -2*x = -f*x + 18. What is the smallest common multiple of 9 and x?
9
Let d = -45694267/362 - -126227. What is the common denominator of -7/18 and d?
3258
Let r(d) = d**2 + 2*d + 4. Let w be r(-2). Suppose -w*y + 5 = y. Calculate the lowest common multiple of y and 3.
3
Let v = -244 - -265. What is the least common multiple of 90 and v?
630
Let n be (-3)/5 + (-7942)/(-520). Let o = -1/588 - 52907/7644. Let g = n + o. What is the common denominator of 53/8 and g?
8
Let s = 446 - 439. What is the lowest common multiple of s and 21/(-14)*(-10)/3?
35
Suppose -8 = -4*y - 0, 26 = 2*f - y. Suppose -x - f = -3*x. Suppose x - 27 = -2*i. What is the lowest common multiple of 12 and i?
60
Let r = -41180661/253599974 - -2/407717. What is the common denominator of -55/16 and r?
4976
Let y be (-55684)/24 - (-1 + 3). Let g = y + 2328. Let c = -13/9 + 19/6. Find the common denominator of g and c.
18
Let n(q) = q**3 - 2*q**2. Let o(j) = j + 1. Let w(m) = n(m) - 4*o(m). What is the lowest common multiple of 12 and w(4)?
12
Suppose 10 = -17*q + 19*q. What is the least common multiple of q and 260?
260
What is the common denominator of (((-6)/(-3))/48)/(20/(-1390)) and 17/240?
240
Let c = 1243 + -14969/12. Calculate the common denominator of c and -73/162.
324
Let z = 47173655/316 - 149284. Calculate the common denominator of z and 91/16.
1264
What is the common denominator of (-2312)/(-192) + 4/(-6) and -115/12?
24
Calculate the common denominator of -87/2 and (-6)/5 - ((-356174)/27720 - -12).
396
Let d be 27/36 - (20943/4 - 2). Let t = d + 104637/20. Find the common denominator of 81/
|
{
"pile_set_name": "DM Mathematics"
}
|
2, 5*x - 90 = 0 for d.
-4
Solve 16 = 6*w + 3*c + 61, -3*w - w = -4*c for w.
-5
Solve -2*g - 74 = -34 - 40, -c + 2*g = -3 for c.
3
Solve -36 = 3*v, 1259 = u - 45*v + 715 for u.
4
Solve -4*o + 58 = 3*j, 0 = 4*o - j - 94 + 28 for o.
16
Solve 255*k - 257*k - n = -18, 36 = -k + 4*n for k.
4
Solve 4*j + 393 = -2*o + 381, 0 = -2*j + 4*o + 14 for j.
-1
Solve -2*m + 6 = -43*p + 42*p, 0 = 5*m - p - 12 for m.
2
Solve 9*c - 5*t = -3, -2*c - 3*t = 610 - 597 for c.
-2
Solve -7 = 5*j + t, 140*j = 138*j + 2*t - 34 for j.
-4
Solve -4765*v + 6 = -4770*v + 3*l, -8*v + 5*l = 11 for v.
3
Solve -17*o = -4*s - 26, 5*s = -5*o + 30 - 10 for o.
2
Solve 50*v + 0*u + 2*u - 8 = 52*v, -v = 3*u for v.
-3
Solve 0 = -y + 4*m - 25, 0 = 46*y - 50*y - 3*m - 62 for y.
-17
Solve 12 = d - 2*n, 39*n = 37*n - 8 for d.
4
Solve 3*y = -3*v + 3, -15*y + 12*y - 4*v + 3 = 0 for y.
1
Solve 8 = u + 3*r + 4, 0 = -u + 8*r - 18 for u.
-2
Solve 0 = 5*o - 9*r + 59, 4*r - 39 = 5*o + 40 for o.
-19
Solve 0 = -3*c + 4*m - 31, 4*c + m - 488 = -485 for c.
-1
Solve 61*h + 12 = 66*h + n, -2*n = -5*h + 21 for h.
3
Solve 5*u + 36 = 6*u + 16, 85 = t + 4*u for t.
5
Solve 0 = -5*l - 2*q + 11, 4*l + 411*q - 16 = 413*q for l.
3
Solve -q - 20 = 2*o, 44*o - 4*q = 40*o + 32 for o.
-4
Solve -14 = 2*k - 5*m, 2*k = -4*m - 34 + 38 for k.
-2
Solve 4*f + 3*i = -23, -4*f + 16*i - 15*i - 3 = 0 for f.
-2
Solve 14008 - 14012 = -k + 2*f, 2*k - k + f = -8 for k.
-4
Solve 2*u = -4*r + 28, 7*u + 46 = -94*r + 98*r for r.
8
Solve -455*w + 460*w + 40 = -5*c, -31 = 2*w + 5*c for w.
-3
Solve 5*x = -5*t - 65, -16 = -658*x + 660*x for t.
-5
Solve 0 = 3*n + 4*h - 25, -4*h = -4*n - 19 + 15 for n.
3
Solve 3*p - k - 12 = 0, -275*p - 62 = -285*p - 4*k for p.
5
Solve 3*f - 6 = 0, 4*l - 93*f + 91*f - 8 = 0 for l.
3
Solve 4*n - 126*o + 123*o - 2 = 0, 17 = n + 2*o for n.
5
Solve 1 = -35*b + 40*b + 4*z, 3*b - 4*z = 7 for b.
1
Solve 2*n - 3*l + 19 = -13, 31 = -5*n + 4*l for n.
5
Solve -4*k - 5*f + 22 = 0, 9121*k - 14 = 9116*k - 4*f for k.
-2
Solve m + 3*k = -16, -239*k + 241*k = -m - 10 for m.
2
Solve 3*k = 3*d + 9, -19 = k + 5*d - 10 for k.
1
Solve 0 = -2*h - 2, 220*t + 5*h = 225*t for t.
-1
Solve 0 = -5*z - 5*p - 55, -z + p - 35 = 5*p for z.
-3
Solve 5*c + 5*w + 35 = 0, 96*c - 100*c - 5*w = 31 for c.
-4
Solve 11*s + 30 = 14*s - 3*x, -x + 11 = 2*s for s.
7
Solve -2*w - 2*w - 11 = -3*z, -4*z = -4 for w.
-2
Solve -3*o - 6 = -3*l, -27 + 37 = 12*l - 5*o for l.
0
Solve -3*r + 2807*f = 2814*f + 31, f = -2*r - 17 for r.
-8
Solve -5*h + 7*q = 4, 5*h + 2*q - 57 = -43 for h.
2
Solve -5*h = 5*v - 70, 17*v = -2*h + 21*v + 16 for h.
12
Solve -9*x + 17 = 2*r, 4*r + 40 = 5*x + 51 for r.
4
Solve 2*q + 8 = v, 8 = 2*v + 20*q - 22*q for v.
0
Solve -4*h - 16 = 5*c, -4*c - h = -3 + 7 for c.
0
Solve i + 3*r = 13, -30 = 5*i + 26*r - 30*r for i.
-2
Solve 2*n - 2*x + 22 = 0, -5*n = 2*n - 2*x + 87 for n.
-13
Solve b - 7*d = 17, -8451*b - d = -8446*b - 2*d + 17 for b.
-4
Solve -4*w = 2*v - 40, -17121*v + 3*w - 4 = -17116*v for v.
4
Solve -5*m = -4*f + 21, -7*f + 4*f + 12 = -3*m for m.
-5
Solve -m = -5*k + 20 - 32 + 28, 3*k - 3*m = 12 for k.
3
Solve -3*u - 34 = -5*h, -65*h + 60*h = -4*u - 42 for u.
-8
Solve 0 = -3774*p + 3772*p + 2*z + 14, 0 = 3*p - 5*z - 15 for p.
10
Solve 465*i = 462*i + 3*q - 51, -34 = 22*i - 5*q for i.
3
Solve -2*y + x - 26 = -5*y, 2*x = -11*y + 72 for y.
4
Solve -2*q + 5*z = 0, -7*q + 4*q = 206*z - 210*z + 14 for q.
-10
Solve -3*d + 1763*w - 1758*w + 28 = 0, 5*d + w = 0 for d.
1
Solve 0 = 5*t - f + 11, -6*f - 11 = -t + 10 for t.
-3
Solve 2*f - 57 + 19 = 2*o, 0 = -5*o + 4*f - 73 for o.
3
Solve -3*r - v + 6 = 16, -5*r = -5*v + 30 for r.
-4
Solve -3*l - 3*l = 7*b + 24 - 6, 0 = 3*b for l.
-3
Solve a + 2 = 0, 0 = -14*n + 12*n - a - 4 for n.
-1
Solve 0 = -4*h + 5*q - 25, -5*h + 53 = -5*q + 78 for h.
0
Solve -4*v - 996*w + 5 = -999*w, 5*w = 2*v + 1 for v.
2
Solve 121*p + 2*a + 7 = 124*p, -1 = -a for p.
3
Solve -20*i + 10 = -15*i + s, -4*s = i - 59 for i.
-1
Solve 0 = 5*v - 3*z + 51, 6*v + z + 25 = 19 for v.
-3
Solve -5*l = -5*q - 10, 15*q = -5*l + 13*q + 3 for l.
1
Solve -4*n = 12*z - 236, -4*n = z + 28 - 33 for z.
21
Solve 28*z + 5*n = 26*z + 30, -z = 5*n - 25 for z.
5
Solve 4*f = 57*y - 59*y + 46, 4*f + 39 = 3*y for y.
17
Solve -2*p + 5 = 3*i, -22*p - 11 = 3*i - 24*p for i.
-1
Solve 40*c - k = 44*c - 32, -4*c = 2*k - 36 for c.
7
Solve 11*i - 5*f = 10 - 79, -5*i - 5*f = -5 for i.
-4
Solve -34*l + 32*l + 4 = 0, -3*i - 7 = l for i.
-3
Solve -3*j + 75 = 129*u - 126*u, j = 4*u + 10 for j.
22
Solve 5*q + v + 8 = 0, 5*q - 27*v = -30*v - 4 for q.
-2
Solve 95 = 3*t - 22*j, -92*t + j = -93*t - 10 for t.
-5
Solve 428*i - 2*t + 4 = 431*i, 5*i - 4*t = 36 for i.
4
Solve m + 5*z - 30 = 1, m - 27 = -4*z for m.
11
Solve 0 = 166*z - 163*z + 5*u - 3, 0 = 8*z + 2*u - 8 for z.
1
Solve 5*g - 1711 = -4*m - 1694, -m = -5*g + 27 for g.
5
Solve 88*h + 12 = -5*s + 86*h, 5*h + 1 = 2*s for s.
-2
Solve -27*q + 2 = 2*n - 31*q, 4 = 4*n - 4*q for n.
1
Solve 4*k = -5*l + 38, -2*l + 5*k - 2 = -37 for l.
10
Solve -2*n - 5*j = -9, 40 = -5*n - 3*j + 53 for n.
2
Solve 3*b = -3, -59*b + 63*b = 3*l + 5 for l.
-3
Solve -2*f + 21 = -5*y, 3*y = -27*f + 32*f - 43 for y.
-1
Solve v = 4*y - 13, 0*v - y - 23 = 5*v for v.
-5
Solve 3*h - 6*d - 39 = 0, -4*d + 2 - 25 = h for h.
1
Solve -2*q = -2*w + 16, w = -q - 44 + 42 for w.
3
Solve 0 = 2*x + 4*q - 4, -12 = 22*x - 21*x - 5*q for x.
-2
Solve -4557*a = -4553*a + 5*n + 11, 5*a = -3*n - 17 for a.
-4
Solve -n - 3*s = 1, -212*n + 4*s = -213*n for n.
-4
Solve 5*s - 9 + 10 = -4*t, -4 = 2*t - 4*t + 2*s for t.
1
Solve 0*n + 6*n + 6*a = 4*n - 2, -2 = 2*a for n.
2
Solve 4*k - 3*v = -10, -24*v - 4 = -4*k - 28*v for k.
-1
Solve -20 = -445*j + 448*j - w, -2*j - 20 = -2*w for j.
-5
Solve -5*i + 3*d - 25 = 0, -4*i = -3*d - 29 + 49 for i.
-5
Solve 4*o - 35 = -26*j + 29*j, 3*j = -15 for o.
5
Solve 19*u - 4*n + 24 = 21*u, -26*u + 5*n + 27 = 0 for u.
2
Solve -3 = -4*b - 3*j, 5740 = -b + 5*j + 5712 for b.
-3
Solve -3*y = 3*w - 39 + 105, -2*w - 27 = y for w.
-5
Solve 0 = -18*q + 2*f + 62, -5*f - 3 - 14 = q for q.
3
Solve -3*t - 6 = 3*o, 3*o - 4*t - 145 = -172 for o.
-5
Solve -2*g = -5*p + 1, -3*p - 17 = 147*g - 146*g for g.
-8
Solve -m + 26 = -3*l, -29 = -5*m + 7*m + 3*l for m.
-1
Solve -13 + 39 = 5*i + 3*b, 6 = 2*i - b for i.
4
Solve -8*g + 5*p = 8, 366*g = 369*g + 5*p + 3 for g.
-1
Solve 0 = 3*p + 82*f - 79*f - 9, p - f = -1 for p.
1
Solve -4*k + 5*l = 15 - 70, 3*k = -3*l - 33 for k.
0
Solve 0 = h + 3*f - 2, 30 = -2*h - 2*f + 34 for h.
2
Solve v - 1 = 4*x, 2073*x + 3*v - 18 = 2070*x for x.
1
Solve -20*p - 4*r - 28 = 0, -40*p + 42*p - 5*r - 8 = 0 for p.
-1
Solve 549*v - 553*v + g + 17 = 0, 2*v - 2 = -6*g for v.
4
Solve -244*y + 239*y + 55 = 5*b, 4*b - 69 = y for y.
-5
Solve 5*p + 4*z - 9 = -7, 4*p - 1 = -3*z for p.
-2
Solve x - 2*s = 20, 39*x + 21*s + 91 = 41*x for x.
14
Solve 50 = -5*w + 4*l, 24 + 266 = 58*l for w.
-6
Solve 5*j + 28*y = 27*y + 7, -9 = 3*j + 5*y for j.
2
Solve 3*t + 3 = -3*l, 4*l - 493*t + 492*t = 1 for l.
0
Solve z - 2*y = -36, -59*z - 4*y + 66 = -58*z for z.
-2
Solve 3*n + 3*y = -15, 782*y + 6 = -n + 780*y for n.
-4
Solve -4*f - 2*r = 2, 121*f + 2*r = 145*f - 58 for f.
2
Solve 3*s = -5*w + 10*w + 26, 3*s - 14 = 2*w for w.
-4
Solve -33 - 4 + 13 = 6*l - 5*p, -4 = l + 21*p for l.
-4
Solve -9 = -3*j + 5*p, -21*j - 7 = -16*j - p for j.
-2
Solve 191 = -5*t + 3*a + 103, 2*t + a = -44 for t.
-20
Solve -58*y + 31*y + 25*y + 4*h = 0, 3*h = 2*h for y.
0
Solve -v - 13*l = -151, -l = -4*v - 164 + 132 for v.
-5
Solve 17 = 2*y - y - 2*r, 3*r - 187 = -211 for y.
1
Solve 9*u - 326*i + 25 = -327*i, 3*u + 19 = 5*i for u.
-3
Solve -g = 2*v - 13, 87 = 2*v + 71 for g.
-3
Solve -236*m - 5*k = -235*m - 8, -4*m = 3*k - 32 for m.
8
Solve -3*i - 3*r = 3, -12*i - 2*r - 56 = -4 for i.
-5
Solve 0 = l + 750*y - 748*y - 5, 0 = 4*l + 3*y + 5 for l.
-5
Solve 15 = 2*n + x, -5*x = 79*n - 74*n - 50 for n.
5
Solve s - 18*k + 43 = -9*k, s + 3*k - 17 = 0 for s.
2
Solve g = -5*s - 582 + 596, 8 = -5*g + s for g.
-1
Solve -8*k + 4*k = 3*w + 11, 5*w - 5*k = 5 for w.
-1
Solve 0 = -2*t + 2*g - 6, 3*t + 2*g - 984841 = -984840 for t.
-1
Solve 77*m - 80*m = -3*v - 9, 4*m + 5*v = -15 for m.
0
Solve -3*u - 164*j = -159*j + 24, 2*u - 30*j + 12 = -32*j for u.
-3
Solve -178*b + i + 45 = -183*b, 0 = -5*b
|
{
"pile_set_name": "DM Mathematics"
}
|
, 3.7, -5/34211?
3.7
Which is the third biggest value? (a) -2/19 (b) -2 (c) -18 (d) 1 (e) -338 (f) 0 (g) 13
f
Which is the fourth smallest value? (a) -0.1 (b) 1.02 (c) -2.1 (d) -0.3 (e) -349
a
What is the seventh smallest value in 5, 4/5, -1/13, -0.5, -12/19, 0.6, 0.1?
5
Which is the third biggest value? (a) -5126 (b) 1/7 (c) 295
a
What is the second smallest value in -0.2, 2, -2/843, -305.2?
-0.2
What is the fifth smallest value in 0.0341, -4, 157, -2/7, -0.16?
157
What is the second smallest value in 371, 0, 2/7, -44.7?
0
What is the sixth smallest value in -1, -5, -240, 0.1, 28, -2/7, 0.4?
0.4
Which is the second biggest value? (a) 15 (b) 0.069 (c) 1/96 (d) -3 (e) -2/3 (f) 1
f
What is the biggest value in -2, -2/9, -2810, 0.83, -3, 4?
4
What is the seventh biggest value in -0.14, -9, 3, -5, 0.3, -0.3, -427?
-427
What is the sixth smallest value in 0.2, -1/4, -8, -0.76, -0.12, 22?
22
Which is the biggest value? (a) 5 (b) 1332854 (c) -182 (d) -0.4
b
Which is the smallest value? (a) -0.09 (b) -1/5 (c) -55 (d) 22/13
c
Which is the biggest value? (a) 0.9699 (b) -0.5 (c) -3 (d) 4 (e) 5
e
What is the third smallest value in -12675, -3/170, -123?
-3/170
What is the seventh smallest value in 0.13, -0.1, -2/3, 0.058, -12, -9, 5?
5
What is the second biggest value in 2, 1, 3/7, -2.35, 8?
2
Which is the second biggest value? (a) -0.1 (b) 3 (c) -6/7 (d) -22509 (e) 0.2
e
Which is the fourth biggest value? (a) -0.2 (b) -1 (c) -214 (d) 33 (e) -390 (f) 1/31
b
Which is the third biggest value? (a) 0.061 (b) 2/7 (c) 3 (d) -182/255 (e) -3/2
a
What is the third biggest value in -0.44, -470, -4/3, -0.7, 2/5?
-0.7
Which is the fifth biggest value? (a) 576 (b) 3 (c) 960/7 (d) 2/13 (e) 1/3 (f) 1
e
What is the third smallest value in -41403, -4, 8, -0.4, 5, 1/7, 0.3?
-0.4
Which is the fifth smallest value? (a) -7 (b) -3 (c) -3.3 (d) 1 (e) 103
e
Which is the third smallest value? (a) -70 (b) -4/5 (c) 1 (d) -7 (e) -2/41 (f) -10
d
What is the fourth smallest value in -11, 2607, -5, 188/3, -0.03?
188/3
Which is the biggest value? (a) 1/189 (b) -3 (c) 11 (d) -5/149
c
Which is the second biggest value? (a) -2/827 (b) -0.307 (c) -1/8 (d) -2 (e) -2/7
c
Which is the biggest value? (a) 1 (b) -10 (c) -2.1 (d) 15.15 (e) 2
d
What is the fifth biggest value in 23, -2/15, 0, -10, 29, 3, -1/190?
-1/190
What is the third smallest value in 235.45, 0.03, 1027?
1027
What is the fifth smallest value in -121/5, -0.012, 1, 0.1, -1/2, 0.3, -8?
0.1
What is the third biggest value in -1/8, 1322, 21/13?
-1/8
Which is the fifth smallest value? (a) 4 (b) -25.03 (c) -2 (d) 2 (e) -16 (f) -2/7
d
Which is the second biggest value? (a) 0.36 (b) -0.05 (c) -116.08
b
Which is the fifth biggest value? (a) -3 (b) -4 (c) -0.5 (d) 1.98692 (e) 0.4 (f) 30
a
Which is the second smallest value? (a) -5/2 (b) -0.01 (c) -3/2 (d) 1/3 (e) -0.9 (f) 0.1 (g) 13
c
What is the third smallest value in -0.4, -0.3, -1379, -962?
-0.4
Which is the sixth biggest value? (a) -15.4 (b) -56 (c) -1 (d) 0 (e) -4/3 (f) 5 (g) -5
a
What is the sixth smallest value in -681, -2.1, 0.15, -0.3, 11, 0.3, 0.1?
0.3
What is the fourth biggest value in 519, -302, 8, -2/7, 0.4?
-2/7
What is the second smallest value in -3.11, 3, 0.1, 7, -4, -9?
-4
Which is the second smallest value? (a) 377 (b) 44 (c) -362
b
What is the second smallest value in 1/11, 30.316, 0.3, -1.8?
1/11
Which is the fourth biggest value? (a) 4 (b) 0.2 (c) 0.02 (d) -0.01 (e) -2/9 (f) 0.05
c
Which is the fourth biggest value? (a) 4/17 (b) 1/191 (c) 4/11 (d) -11
d
What is the smallest value in 7/4, 0.041, -5, -2, -280?
-280
What is the smallest value in -5, 0.7068491, -1/3?
-5
Which is the fifth biggest value? (a) -0.02 (b) -5 (c) 1.93953 (d) -1 (e) -4/29
b
Which is the fourth biggest value? (a) 0.011 (b) -0.4 (c) 0.109 (d) 2/7 (e) 1/6 (f) 4 (g) 112
e
Which is the seventh biggest value? (a) 0.4 (b) 2/11 (c) 0 (d) -0.3 (e) -0.4 (f) -5/76 (g) -1727
g
Which is the biggest value? (a) 9 (b) -1/2088 (c) -2/13 (d) 0.2 (e) 1/2 (f) -1/3
a
What is the smallest value in 0, -6/13, 9683, 0.79?
-6/13
What is the smallest value in 2, -69, -0.5, 3.1, 0.04?
-69
Which is the second biggest value? (a) -30/23 (b) -294 (c) -2/7 (d) 95
c
What is the biggest value in -2/11, -3/6665, 157.47?
157.47
What is the fourth smallest value in -0.4, -4, 1/3, 8, 0.1, -546/5, -3?
-0.4
What is the seventh smallest value in -21/5, -1/4, 3, 3/5, 1/11, 4, -6822?
4
Which is the second smallest value? (a) 41 (b) -4 (c) -2 (d) -1/10298 (e) 0.4
c
What is the second smallest value in -1/4, 220/3, 2/1543, 2/13?
2/1543
What is the fourth smallest value in -5, 1, 1/9, 0.1, 1.1, 0.15, -0.1?
1/9
What is the second smallest value in -403, 1, 2461?
1
Which is the seventh smallest value? (a) 163 (b) -5 (c) 4 (d) -6/5 (e) -3/4 (f) 3/2 (g) -0.13
a
What is the smallest value in 1/4, 2, -353, -10, 1/2?
-353
Which is the second smallest value? (a) -3/7 (b) -5 (c) 683/25657 (d) -2/7
a
What is the fifth smallest value in 324, 20, 5/32, -4, -5?
324
What is the smallest value in 72532, -6/13, 0.4?
-6/13
What is the fifth biggest value in -2/3, 5, -6701, -5, 4, -10?
-10
What is the fifth biggest value in 5, 0.13, 0.4, 4, -8831?
-8831
What is the third smallest value in 2678, -2.8, 759?
2678
Which is the fifth biggest value? (a) 2 (b) -0.1 (c) -2 (d) 2/9 (e) -64 (f) -1815 (g) -2/7
c
Which is the sixth biggest value? (a) -0.3 (b) 0.5 (c) -5 (d) 85.9 (e) 0.2 (f) -0.033 (g) 3
a
What is the third smallest value in -0.01, 2, 0.5, 5, -433, 0.22?
0.22
What is the fourth biggest value in 1/11, 5, -6.679, -3, 0.022?
-3
Which is the third smallest value? (a) 3 (b) -83/98 (c) 686
c
Which is the sixth smallest value? (a) 34 (b) 1/4 (c) 2/7 (d) 5 (e) -2/7 (f) -4
a
What is the smallest value in -3, 1/24, 1.8107, 3.1, -0.4, -1, 2/13?
-3
Which is the second biggest value? (a) 5/4 (b) -2/3 (c) 6/5 (d) -5/4 (e) -0.22 (f) -2/5
c
What is the third smallest value in 137071, -4, -8/15, -3?
-8/15
Which is the third smallest value? (a) -2/15 (b) -78 (c) 0.5 (d) -0.5 (e) -36.4 (f) 9 (g) 2
d
Which is the third biggest value? (a) 1 (b) -0.3 (c) -2 (d) 0.1 (e) -6 (f) 30 (g) 0.62
g
Which is the third biggest value? (a) -2 (b) -5 (c) 4435 (d) -101/7 (e) -1/7
a
What is the third biggest value in -404/13, -207, -0.03, 2/3?
-404/13
What is the smallest value in 2, 18.22, -2/5, 2/11, -36, 1/11?
-36
What is the second smallest value in 2, 0.8, 52015/318?
2
What is the second biggest value in -1/8, -2/5, 3, -0.05, -1, 2045/3?
3
Which is the biggest value? (a) 4757.3 (b) -2 (c) 0.3 (d) 5 (e) 1
a
What is the third smallest value in 58, -0.4, -1/13210, 0.5, -5?
-1/13210
Which is the smallest value? (a) -2/3 (b) 0.3 (c) 1 (d) -5/4 (e) 3/2 (f) -513/5
f
What is the third smallest value in -2, 2110, -1.0663?
2110
Which is the smallest value? (a) -17954 (b) -2 (c) -0.0436
a
Which is the second smallest value? (a) 2/7 (b) -2 (c) 5 (d) -21743.6
b
What is the biggest value in -758, -0.2, 0.1, -3/5, -0.08?
0.1
What is the fourth smallest value in 3/2, -1/1839, -6, 6, 0.4?
3/2
Which is the second smallest value? (a) 44 (b) -0.029 (c) -795
b
Which is the second biggest value? (a) 4 (b) -2764/5 (c) 8263
a
Which is the biggest value? (a) 47 (b) -9 (c) 661.1
c
What is the third smallest value in 14/263, -11, 5446?
5446
Which is the smallest value? (a) -4 (b) 2572 (c) 0.18 (d) 4/3
a
What is the fourth biggest value in -9.1, -0.5, -5, -151/2?
-151/2
What is the third smallest value in -3, 20, 4488, 0.2, -10, -0.2, -5?
-3
Which is the fourth smallest value? (a) -11.37855 (b) 0 (c) -0.4 (d) -1 (e) -4
c
Which is the third biggest value? (a) 1 (b) 2 (c) -122 (d) 18 (e) 137 (f) -3
b
What is the biggest value in 0.111, 8, 1/3, 28, 10, -5?
28
What is the second smallest value in -3/10, -5, -183.13, -0.0508?
-5
Which is the second smallest value? (a) 0.22 (b) -4 (c) 18 (d) 2/9 (e) -0.14 (f) 3 (g) -5
b
What is the fourth biggest value in -0.5, -382, 4, -1, 3/7?
-1
Which is the fifth smallest value? (a) -0.3 (b) -0.4 (c) -6 (d) 7 (e
|
{
"pile_set_name": "DM Mathematics"
}
|
-35. Does 27 divide k?
True
Let p = -19 - -11. Let i be p/(-5) + 6/(-10). Suppose t + i - 13 = 0. Is t a multiple of 6?
True
Let u be 1/(((-2)/8)/(-1)). Suppose -4*k = 2*a - 4, 0 = -3*a + u*a + 5*k - 5. Suppose a*m - 4*m + 128 = 0. Is m a multiple of 14?
False
Let k(a) = -a**3 - 5*a**2 + 15*a + 11. Let l be k(-7). Suppose 0*b + 19 = b. Suppose l*y + b = 195. Is 15 a factor of y?
False
Let r(j) = -j**2 + 16. Let n be r(0). Suppose -n + 39 = u - 3*k, -5*u = -3*k - 91. Does 17 divide u?
True
Is (-3 + 2)*(-26 - 3) a multiple of 5?
False
Suppose 4*a = 3*n - 0*n + 17, -4*a + 18 = -2*n. Suppose -6*q + 105 = -3*q. Suppose -2*u - o = -0*o - 12, -a*o + q = 5*u. Does 3 divide u?
False
Let y(o) be the third derivative of o**7/840 + o**6/72 - o**5/12 - o**4/3 + o**3/6 + 3*o**2. Let r(n) be the first derivative of y(n). Is 16 a factor of r(-6)?
True
Suppose -60*x = -57*x - 294. Is x a multiple of 6?
False
Is 10 a factor of 7050/102 - 4/34?
False
Let j = 380 - 266. Is j a multiple of 19?
True
Let o = 158 - 99. Does 10 divide o?
False
Suppose -7 - 3 = -5*j. Is 7 a factor of (16/20 + j)*5?
True
Suppose x + 3*x + 12 = -2*y, -x - 4*y - 17 = 0. Let k = 21 + x. Does 7 divide k?
False
Let k(d) = -d**3 + 3*d**2 - 2*d. Let o be k(2). Suppose -x = -0*s - s + 7, 2*s + 3*x + 11 = o. Is s even?
True
Let g = -5 - -39. Let p = g - -29. Does 11 divide p?
False
Let k = -31 + 53. Is k a multiple of 18?
False
Let b = 229 - 130. Is 13 a factor of b?
False
Suppose 7 = -4*b + 91. Does 9 divide b?
False
Suppose 0 = -4*m + 5*g + 348, -4*m + 5*m - 4*g - 98 = 0. Is 21 a factor of m?
False
Let z = 0 - 1. Let n be 14/(2 - (z - -1)). Suppose -n*b + 2*b - 4*m = -48, 5*m + 6 = 2*b. Is 3 a factor of b?
False
Suppose -4*r + 4*j + 516 = 0, -3*j - 651 = -6*r + r. Does 22 divide r?
True
Let x be ((-10)/2)/1 + -1. Let m be (x/(-9) - 0)*-3. Is 5 a factor of (-28)/(-2) + (-2 - m)?
False
Let r = 7 + 2. Let t be 10/8 - (-1)/(-4). Suppose r = 2*x + t. Does 2 divide x?
True
Suppose -7*s + 4*g = -2*s - 106, -g - 87 = -4*s. Let k = 94 - s. Is k a multiple of 24?
True
Let c(u) = -u**3 - 5*u**2 + 7*u + 6. Let b be c(-7). Suppose b = 2*z + 3*z. Is 9 a factor of z?
False
Let m(a) be the first derivative of -3*a**2/2 + 6*a + 3. Is m(-9) a multiple of 16?
False
Suppose -3*i + 311 = 4*k, -4*k + 249 = -k - 3*i. Does 19 divide k?
False
Suppose 4*m = -m + 5. Let i = m - -11. Is 9 a factor of i?
False
Suppose -4*r + 88 = -3*n, 88 = 4*r + 2*n - 3*n. Does 8 divide r?
False
Suppose -11*t + 7*t = -240. Is 12 a factor of t?
True
Let v(s) be the third derivative of -s**4/24 + 13*s**3/6 - s**2. Let i be v(9). Suppose -m + 7 = -i. Is m a multiple of 11?
True
Let n be 32/5 + (-4)/10. Let i be ((-4)/n)/2*-9. Suppose 6*m - 18 = i*m. Is m a multiple of 3?
True
Let c(o) = 2*o**2 + 4*o + 4. Let q(p) = -p**3 + 5*p**2 - 5. Let a be q(5). Let x be c(a). Suppose x = 2*w - 2*t, 17 = 5*w - 2*t - 53. Does 12 divide w?
True
Let w(g) = -g**3 - 4*g**2 - 3*g - 6. Let b be w(-4). Suppose b*c - 20 = c. Is 11 a factor of (6/c)/((-1)/(-18))?
False
Let f = -2 - -5. Suppose s - 16 = -f*s. Suppose -s*t = 5*j - 96, -t + 7 = 3*j - 52. Does 20 divide j?
True
Let x = -11 - -15. Suppose x*h - 429 + 85 = 0. Is h a multiple of 26?
False
Let x be -2 + (-3)/((-9)/(-6)). Let j = 9 + x. Suppose -3*a - f = -90, -157 = -j*a - 4*f - 7. Does 15 divide a?
True
Suppose -4*k - 8 = 8. Let c = 6 + k. Is 18 a factor of 0 + -2 + c + 36?
True
Suppose 0 = l - 6*l + 40. Does 8 divide l?
True
Let h(r) = 24*r**2. Let f be (2/3)/2*3. Let z = -2 + f. Is h(z) a multiple of 8?
True
Let a(x) = -9*x**3 + 2*x**2 + 2*x + 1. Is a(-1) a multiple of 2?
True
Suppose -3*f - 9 = -0*f - 3*v, 6 = -2*v. Let l(m) = m**2 + 3*m - 8. Does 8 divide l(f)?
False
Let r(m) = m**2 + 26. Let z be r(0). Suppose z = 2*w - 52. Does 13 divide w?
True
Let t(n) = 2*n**2 + 2*n + 1 + 0 + 0*n**2 - 5. Does 20 divide t(-4)?
True
Let c = 4 + -3. Suppose -3*z + 10 = c. Is 3 a factor of z?
True
Let o(g) = -10*g - 2. Let z(x) = -x - 1. Let i(p) = -o(p) + 6*z(p). Suppose 5*r = d + 12 + 10, 4*r + 4*d - 8 = 0. Is 12 a factor of i(r)?
True
Let o(g) = 19*g**3 + g**2. Let b be (-7)/(-6) - 2/12. Is 19 a factor of o(b)?
False
Let k = -18 - -48. Is k a multiple of 15?
True
Suppose -2*c = -246 + 758. Let h = -169 - c. Suppose 0 = -2*x - 4*z + 24, -x - 5*z - h = -5*x. Is 8 a factor of x?
False
Let y(n) = 2*n**3 - n**2 - n + 52. Is 26 a factor of y(0)?
True
Let t(c) = -2*c**2 - c + 18. Does 9 divide t(0)?
True
Let j = 49 - 3. Is 2 a factor of j?
True
Let y(p) = -p**3 + p**2 + p + 69. Suppose 0 = -2*a + b - 1, -3 = -3*a + 3*b - 6. Does 23 divide y(a)?
True
Let b(z) = 0*z - 4*z**3 + z + 2*z**2 + 2 + 3*z**3. Let y be b(-2). Suppose v - y = 1. Does 17 divide v?
True
Suppose -b + 54 = 6. Is b a multiple of 8?
True
Let v = 1 - 0. Let k = v - 2. Is 6 a factor of k/((-1)/10) + 2?
True
Suppose 2*j = -3*q + 8, -1 + 21 = 5*j + 4*q. Let h be j/(-6) + (-2)/6. Does 17 divide ((-170)/15)/(h/3)?
True
Let a be 2*1 - (0 - -2). Does 7 divide ((-14)/(-6) + a)*9?
True
Let a(o) = 2*o**2 + o - 4. Let u be a(-3). Suppose 0 = -3*l - 2*k + u, -3 = 2*l - 3*k - 19. Is 3 a factor of l?
False
Suppose 0 = -q - 4*d + 39, 3*d - 5*d = -q + 27. Is q a multiple of 18?
False
Suppose 0 = 3*s + 3*s - 618. Is s a multiple of 4?
False
Let n(s) = -s**3 + 2*s**2 - 1. Let o be n(2). Let h = o - -2. Is (h/2)/(2/64) a multiple of 16?
True
Let s be 1/(-7) + 11767/49. Does 17 divide (3/(-6))/((-2)/s)?
False
Let z = 82 - 34. Is z a multiple of 16?
True
Let x(k) = k**2 + 5*k - 2. Does 6 divide x(2)?
True
Suppose -465 = -3*n + 39. Is 28 a factor of n?
True
Let a(v) = -v - 5. Let t be a(0). Let l(z) = z**3 + 8*z**2 + 4*z - 7. Let m be l(t). Suppose 3*b - 5*c - m = 0, b + c = 2*b - 18. Does 17 divide b?
False
Let p = -105 + 123. Does 11 divide p?
False
Let h(b) = -2*b**3 + 13*b**2 + 2*b + 8. Suppose -5*l + 5*r + 15 = -5, 5*l + 3*r = 36. Is 14 a factor of h(l)?
True
Let j be (20/(-6))/(8/108). Suppose 2*s = -36 - 24. Let a = s - j. Does 8 divide a?
False
Is 26 a factor of 2 - (-3)/(12/376)?
False
Let z = -32 + 52. Let s = z + -4. Is 13 a factor of s?
False
Let q(g) be the first derivative of -g**4/4 - 7*g**3/3 + 3*g**2 - 2*g + 6. Is 7 a factor of q(-8)?
True
Suppose -3*f - 4 = -16. Suppose -6*c + f*c = -106. Is c a multiple of 23?
False
Is (-41)/(-9) + (-96)/(-216) a multiple of 5?
True
Let z(r) = 8*r + 10. Let f(m) = 1. Let u(c) = -44*f(c) + 4*z(c). Let n be u(4). Suppose 0 = x - 4, 0*x + n = 4*t + 2*x. Is 12 a factor of t?
False
Let g = 137 + -12. Suppose 5*o - g = -0*o. Does 16 divide o?
False
Let l(c) = 17*c**3 - c**2 - c + 2. Let k be l(2). Suppose -4*z = -z - k. Is z a multiple of 15?
False
Let d(o) = -2*o**3 + 18*o**2 - 2. Does 18 divide d(8)?
True
Let y(w) = w**3 - 20*w**2 + 20*w + 9. Does 7 divide y(19)?
True
Suppose -2*d = -z - 3*z - 34, -4*z = -4. Is d even?
False
Let k(n) = -n**3 + 3*n**2 + 7*n + 13. Is k(-4) a multiple of 17?
False
Let o = -14 - -53. Does 20 divide o?
False
Suppose 0 = -y + 1. Let i(a) = 3*a**2 + 2*a - 1. Is i(y) a multiple of 4?
True
Suppose -5*f + 25 = 0, -3*f = -2*g - 0*f + 45. Let u = 6 + -4. Suppose 0 = -5*x + t + g, -t = -x - 0*x + u. Is x a multiple of 7?
True
Let b(d) = -14*d**3 + 4*d**2 - 3*d + 4. Let w(q) = 29*q**3 - 9*q**2 + 7*q - 9. Let t(s) = 9*b(s) + 4*w(s). Let h = -4 + 3. Is t(h) a multiple of 9?
True
Suppose 2 = 4*l - 5*l, 5*l = -4*a - 154. Is (0 + -5)*a/20 a multiple of 4?
False
Suppose -174 = -2*s + 5*r, 2*s + 0*r + r = 150. Does 11 divide s?
True
Let a(x) = x**3 - 2*x**2 + 2*x - 2. Let g be a(2). Suppose o + o = -g. Let l(i) = 38*i**2 - 2*i - 1. Does 11 divide l(o)?
False
Let l = 89 + -14. Is 18 a factor of l?
False
Let v(u) = -2*u + 1. Let l be (2/4)/(3/(-12)). Does 5 divide v(l)?
True
Let k(w) = -5*w**3 + 12*w**2 - 12*w - 13. Suppose 3 = 2*a - 5*a. Let d(i) = -i**3 + i**2 - i - 1. Let p(g) = a*k(g) + 4*d(g). Is 16 a factor of p(7)?
True
Let v(z) = -z**2 + 4*z - 2. Let f be v(3). Let i(g) = 5*g + 1. Is i(f) a multiple of 3?
True
Let q(k) = -k**2 + 13*k - 13. Is 3 a factor of q(8)?
True
Let i(t) = t**3 - t**2 - t - 112. Let z be i(0). Is 15 a factor of 15/(-2)*z/35?
False
Suppose -4*p - 4*q + 280 = 0, 4*q = 9*q + 20. Suppose -4*m + 280 = -3*n, -5*m + p = 2*n - 276. Is m a multiple of 16?
False
Let h(m) = 11*m + 109. Is h(2
|
{
"pile_set_name": "DM Mathematics"
}
|
mine v(11).
-652
Let a(y) = -124*y - 5. What is a(0)?
-5
Let m(j) = -5*j**2 - 75*j - 4. Give m(-14).
66
Let m(a) = -9*a**2 - 14*a - 1. Determine m(-6).
-241
Let v(h) = 5*h**3 - 11*h**2 - 5. Give v(3).
31
Let o(i) = 13*i**3 - 2*i**2 + 2*i - 5. Calculate o(-3).
-380
Let y(f) = 81*f - 51. Calculate y(0).
-51
Let i(a) = 275*a + 1086. Calculate i(-3).
261
Let z(p) = -p**2 - 220*p - 138. Determine z(0).
-138
Let r(z) = 34*z - 3435. Calculate r(87).
-477
Let j(h) = 99*h**2 - 18*h + 31. Give j(2).
391
Let x(a) = 14997*a + 329923. Determine x(-22).
-11
Let u(b) = 8*b**2 - 59*b + 87. Determine u(5).
-8
Let o(g) = g**3 - 14*g**2 + 48*g - 45. Calculate o(10).
35
Let q(h) = h**2 - 771*h - 52538. Determine q(-63).
4
Let c(b) = -b**2 - 13*b + 869. Determine c(-38).
-81
Let v(g) = 86*g + 1867. What is v(-23)?
-111
Let n(m) = -15*m**3 + 7*m**2 - 4*m + 10. Give n(3).
-344
Let b(q) = -2*q**3 + 64*q**2 - 4*q + 152. What is b(32)?
24
Let k(c) = -120*c - 399. Determine k(-4).
81
Let i(a) = 2*a**3 - 246*a**2 - 55. What is i(123)?
-55
Let q(x) = x**3 + 4*x**2 - 43*x + 42. Give q(4).
-2
Let x(d) = -1814*d - 47195. Determine x(-26).
-31
Let g(l) = l**3 + 37*l**2 - 54*l - 610. Determine g(-38).
-2
Let x(v) = v**2 - 854*v - 2565. What is x(-3)?
6
Let k(q) = 44*q + 14. What is k(-3)?
-118
Let s(f) = f**3 + 12*f**2 - 34*f - 121. Give s(-14).
-37
Let i(g) = g**2 - 145*g + 573. Determine i(4).
9
Let p(l) = 16*l**3 + 16*l**2 - 22*l. Determine p(-2).
-20
Let z(k) = -8*k**2 - 328*k + 23. Determine z(-41).
23
Let f(y) = -y**3 + 2*y**2 + 22*y + 13. Calculate f(-3).
-8
Let z(i) = 2*i**2 - 54*i - 330. Determine z(-7).
146
Let r(g) = -49*g + 2867. Calculate r(59).
-24
Let u(f) = -72*f + 1150. Calculate u(16).
-2
Let b(l) = -37*l + 4937. What is b(135)?
-58
Let z(u) = 111*u + 133. What is z(-3)?
-200
Let a(p) = -7*p**2 + 167*p - 993. What is a(11)?
-3
Let m(u) = 129*u - 12214. Calculate m(95).
41
Let a(b) = -b**3 - 8*b**2 - 106*b - 592. Determine a(-6).
-28
Let j(q) = -19*q + 499. Give j(20).
119
Let r(h) = 19*h**2 + 174*h + 689. Determine r(-4).
297
Let n(v) = -2*v - 84. Determine n(9).
-102
Let n(c) = -7*c**2 + 25*c + 11. What is n(6)?
-91
Let m(g) = -3*g**2 + 55*g - 247. Give m(11).
-5
Let u(y) = -3*y**3 + 8*y**2 + 42*y + 6. Give u(-3).
33
Let h(u) = -4*u**2 - 64*u - 259. Give h(-5).
-39
Let d(g) = 36*g**3 + 8*g**2 + 2*g - 1. Give d(-2).
-261
Let g(i) = 11*i**3 + 37*i**2 + 8*i - 6. Determine g(-3).
6
Let x(j) = 179*j + 26317. What is x(-147)?
4
Let b(y) = 148*y + 704. Determine b(-8).
-480
Let k(j) = 5*j**3 - 108*j**2 + 49*j + 300. What is k(21)?
6
Let s(t) = 11*t - 23. Determine s(-1).
-34
Let f(o) = -o**2 - 20*o - 81. Determine f(-21).
-102
Let u(o) = o**3 - 67*o**2 + 9*o - 149. Give u(67).
454
Let q(z) = -z**3 + 5*z**2 + 5*z + 19. Calculate q(6).
13
Let t(m) = -m**3 - 91*m**2 + 186*m - 191. What is t(-93)?
-191
Let o(b) = -6*b**2 + 7*b + 33. What is o(-3)?
-42
Let w(n) = -n**2 + 10*n. What is w(17)?
-119
Let s(d) = d**3 - 18*d**2 - 53*d + 747. Determine s(19).
101
Let h(m) = -1042*m - 57291. Give h(-55).
19
Let z(q) = -1005*q - 6127. What is z(-6)?
-97
Let c(f) = -f**2 + 3634*f - 25396. Give c(7).
-7
Let o(h) = -285*h**3 + 5*h**2 - 6*h + 4. Calculate o(1).
-282
Let r(d) = d**3 - 16*d**2 - 47*d + 226. Determine r(9).
-764
Let q(z) = -z**2 - 10*z + 34. What is q(-14)?
-22
Let b(a) = -a**2 + 10*a + 7. Give b(13).
-32
Let b(h) = -6*h - 176. Calculate b(-26).
-20
Let b(q) = -50*q - 351. Determine b(-7).
-1
Let k(y) = -18*y**3 + y**2 - 2*y - 3. What is k(-1)?
18
Let w(c) = 2*c**3 - 2*c**2 - 112*c + 13. Calculate w(8).
13
Let j(w) = -w**3 - 14*w**2 - 16*w + 122. Calculate j(-11).
-65
Let l(c) = -c**3 - 10*c**2 + 37*c + 250. Calculate l(-11).
-36
Let s(l) = -3301*l - 6605. What is s(-2)?
-3
Let x(f) = f**3 - 4*f**2 - 76*f - 20. Calculate x(11).
-9
Let n(o) = -o**3 + 8*o**2 - 10*o - 6. What is n(8)?
-86
Let o(a) = -a**3 - 42*a**2 - 28*a - 44. Determine o(-41).
-577
Let i(u) = -5*u - 207. Give i(-5).
-182
Let j(l) = -16*l**2 - 2*l + 10. Give j(0).
10
Let k(s) = 65*s - 4783. Give k(73).
-38
Let k(p) = 110*p + 2742. What is k(-25)?
-8
Let y(p) = -6*p**3 - 37*p**2 - 9*p + 8. Determine y(-6).
26
Let a(s) = -s**3 + 36*s**2 - 65*s - 117. What is a(34)?
-15
Let n(q) = 189*q - 544. Calculate n(3).
23
Let j(i) = 17*i**3 - 3*i**2 + 2. Give j(1).
16
Let o(c) = c**2 + 111*c - 9577. Calculate o(57).
-1
Let k(f) = -f**3 - 19*f**2 - 31*f - 3. Calculate k(-16).
-275
Let h(o) = o**3 - 86*o**2 - 45*o - 3657. Determine h(87).
-3
Let b(t) = 9*t**2 + 45*t + 12. Calculate b(-4).
-24
Let d(z) = -z**3 - 54*z**2 + 50*z - 271. Give d(-55).
4
Let j(o) = o**2 + 14*o - 1548. Give j(-47).
3
Let s(l) = l**3 - 12*l**2 + 2*l - 25. Determine s(12).
-1
Let l(o) = -3*o**2 + 256*o - 763. What is l(3)?
-22
Let d(m) = m**3 + 33*m**2 + 57*m + 43. What is d(-31)?
198
Let o(s) = 62*s + 71. Give o(0).
71
Let q(n) = -2*n**3 + 94*n**2 - 13*n + 613. Give q(47).
2
Let f(x) = -x**3 - 112*x**2 - 326*x - 11676. Give f(-110).
-16
Let m(w) = -272*w + 4269. What is m(16)?
-83
Let g(l) = 114*l**2 - 15*l - 9. Determine g(-1).
120
Let x(p) = 66080*p - 198241. What is x(3)?
-1
Let t(l) = 97*l + 5452. What is t(-55)?
117
Let x(m) = 24*m - 127. What is x(6)?
17
Let p(q) = -3031*q - 3121. What is p(-1)?
-90
Let t(i) = 32*i - 328. What is t(9)?
-40
Let v(c) = 50*c - 5859. Give v(117).
-9
Let l(t) = -198*t + 2185. Calculate l(11).
7
Let x(a) = a**2 - 175*a - 7115. Calculate x(-34).
-9
Let p(t) = 3175*t + 22224. Calculate p(-7).
-1
Let g(q) = -6*q**2 + 63*q - 150. Calculate g(4).
6
Let d(q) = 3*q**3 + 32*q**2 - 12*q - 22. Calculate d(-11).
-11
Let y(f) = 38*f - 50. What is y(4)?
102
Let f(a) = -3*a**2 - 142*a + 7. What is f(-47)?
54
Let t(o) = o**3 + 9*o**2 + 4*o + 28. Determine t(-7).
98
Let o(k) = -595*k - 3572. What is o(-6)?
-2
Let n(i) = i**2 - 63*i - 1453. Calculate n(81).
5
Let z(c) = -c**3 + 7*c**2 - 21*c - 28. What is z(-1)?
1
Let c(p) = -35*p**2 + 580*p + 50. Give c(16).
370
Let d(c) = 35*c - 702. Determine d(19).
-37
Let s(g) = 2*g**3 - g**2 + 8*g - 13. Calculate s(0).
-13
Let i(r) = 6*r**2 - 73*r - 319. What is i(-6)?
335
Let g(n) = -3326*n + 19897. What is g(6)?
-59
Let n(p) = 7*p**2 - 92*p + 5. What is n(13)?
-8
Let u(t) = 89*t**2 + 125*t - 124. Determine u(1).
90
Let k(s) = 10*s**3 + 2*s**2 + 3*s + 2. Give k(-1).
-9
Let o(h) = 886*h + 9779. Give o(-11).
33
Let m(x) = -x**2 - 29*x - 154. Give m(-24).
-34
Let h(d) = -35*d**2 - 34*d + 98. Give h(2).
-110
Let d(b) = -b**2 + 68*b + 1149. Determine d(-14).
1
Let j(m) = -m**3 - 11*m**2 + 82*m - 23. Determine j(-16).
-55
Let b(x) = 3*x**2 + 160*x - 4034. Determine b(-72).
-2
Let l(x) = x**2 + 35*x + 182. What is l(-16)?
-122
Let a(c) = -c**3 + 2*c**2 - c + 13. Give a(-5).
193
Let b(t) = -1296*t - 7. What is b(0)?
-7
Let k(w) = 66*w - 1595. Determine k(24).
-11
Let m(u) = 5*u**2 + 57*u + 110. What is m(-2)?
16
Let a(d) = -6*d**3 + 31*d**2 - 7*d + 3. Calculate a(5).
-7
Let i(a) = -a**2 - 107*a - 1008. Determine i(-9).
-126
Let w(r) = -18*r**2 + 196*r - 32. Give w(11).
-54
Let q(s) = -190*s + 2618. Determine q(13).
148
Let k(i) = 180*i - 6512. Give k(35).
-212
Let l(g) = -8*g + 25. What is l(6)?
-23
Let m(t) = t**2 - 125*t - 284. What is m(129)?
232
Let m(b) = -74*b - 7259. Give m(-98).
-7
Let c(z) = 2*z**3 - 25*z**2 + 18*z - 67. Determine c(11).
-232
Let q(t) = -1271*t - 3835. Determine q(-3).
-22
Let c(w) = -w**3 + 19*w**2 + 37*w + 123. Determine c(21).
18
Let x(g) = 2*g**2 - 26*g - 148. Determine x(-5).
32
Let j(i) = -i**3 - 15*i**2 - 4*i + 135. What is j(-14)?
-5
Let c(o) = -71*o - 842. What is c(-14)?
152
Let w(b) = -b**3 - 7*b**2 + 39*b + 157. Give w(-9).
-32
Let x(z) = -2*z**2 + 35*z - 144. Determine x(6).
-6
Let w(v) = 3*v**2 - 42*v + 289. Give w(6).
145
Let r(j) = -j**3 - 21*j**2 + 32*j - 232. What is r(-23)?
90
Let l(b) = 420*b + 3356. Calculate l(-8).
-4
Let a(o) = -6*o**2 - 12*o - 2. What is a(8)?
-482
Let v(o) = -2*o**3 + 9*o**2 + 93*o - 147. Calculate v(9).
-39
Let o(v) = 77*v + 526. Determine o(0).
526
Let o(b) = -b**3 + 81*b - 1. What is o(9)?
-1
Let x(u) = -7*u - 292. Calculate x(-52).
72
Let i(n) = -n**3 + 3*n**2 + 12*n - 13. What is i(4)?
19
Let d(u) = -65*u - 264. Calculate d(-4).
-4
Let n(h) = 2*h**2 - 179*h + 179. What is n(1)?
2
Let p(x) = -3*x**3 + 45*x**2 + 40*x + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
, 2?
-2
What is the fifth smallest value in 2/1043, 17, -1/2, 212, 16?
212
Which is the third biggest value? (a) 2 (b) -0.6 (c) 0.4 (d) -4/3 (e) -70.194
b
Which is the fifth biggest value? (a) 182/9 (b) -0.3 (c) 0.04 (d) 0.2 (e) 2 (f) 7 (g) 0
c
Which is the second biggest value? (a) -1.59 (b) 1/3 (c) 0 (d) -1 (e) -1.276
c
Which is the third biggest value? (a) -9/11 (b) -1508 (c) -4 (d) 0.2 (e) -1/4 (f) 0.5 (g) 0.1
g
Which is the third biggest value? (a) -2114 (b) 1 (c) 21
a
Which is the fifth biggest value? (a) -0.3 (b) -4/65 (c) -22 (d) 5 (e) 1 (f) 1/7 (g) 0.1
b
What is the second smallest value in 36, 1/71, 21407?
36
What is the biggest value in -8, 15/4, 2/76359, -4?
15/4
Which is the fifth smallest value? (a) 8 (b) 2/1063 (c) 2/9 (d) -1/3 (e) -47 (f) 1/3
f
Which is the smallest value? (a) 3/146 (b) -2 (c) -0.14 (d) -4 (e) 5 (f) 1/19
d
What is the fifth biggest value in 157/2, -0.5, 52, 4, -3/4, -13?
-3/4
Which is the fourth smallest value? (a) 173 (b) -0.1 (c) 0.4 (d) 2 (e) 1 (f) 36
d
What is the fifth smallest value in 1.5, 0.5, -0.2, 19, 1/4, 2/131?
1.5
Which is the third biggest value? (a) 1059 (b) 3 (c) 7/3 (d) -2/11
c
Which is the third biggest value? (a) -3/5 (b) -1/5 (c) 5/6 (d) 1/742 (e) -1/8 (f) 5
d
Which is the fifth biggest value? (a) -2 (b) 43 (c) 1 (d) 0.5 (e) 0.34 (f) -4
a
What is the fifth smallest value in -0.3, 2, 4, -1, -73585, -4, 16.5?
2
Which is the smallest value? (a) 0.03 (b) 3 (c) -0.14 (d) 0.3 (e) -24
e
Which is the third biggest value? (a) 68 (b) -42.64 (c) 1.3 (d) -5
d
What is the third smallest value in 15, -3, 369, -9, 2, -0.1, -1/7?
-1/7
What is the third biggest value in 20322, -2/27, 3/8, -0.4, -3?
-2/27
What is the biggest value in -6.2, 26, -4, 10/231?
26
Which is the sixth smallest value? (a) -5 (b) -0.3 (c) 15 (d) 174/19 (e) 3 (f) 51
f
What is the fifth smallest value in -12, 44, -4, 3, -6, -0.05, 2/7?
2/7
Which is the third smallest value? (a) -98 (b) 3 (c) -2 (d) -68 (e) 0.23
c
What is the second smallest value in 1/5, 0.9, 14, 0.5, -2/15, 11, -214?
-2/15
What is the sixth biggest value in 2, -4/5, 46426, 5, -4, -3/7?
-4
What is the third smallest value in 0.002, 4, 1/409, 5, 2?
2
What is the second biggest value in -20, 125, 1/7443, -1?
1/7443
Which is the third biggest value? (a) -1/2 (b) -0.04835 (c) -0.8 (d) 0 (e) -3 (f) 0.13
b
What is the fourth biggest value in 2/51, -0.1, -1, -232, -24, 2?
-1
Which is the second smallest value? (a) -0.12 (b) 0.44 (c) -2449
a
Which is the second biggest value? (a) -18 (b) 2.948 (c) 75
b
Which is the third smallest value? (a) -5 (b) -3395309 (c) 21
c
What is the fifth smallest value in -38, -4, 0.07, 1/128, 0?
0.07
What is the second smallest value in -3/2, -0.4, -0.1, -11, 1, 2/15, -1.6?
-1.6
What is the fourth smallest value in 5, -6.7, -1868/5, -7?
5
What is the fourth biggest value in 4, 0, 207.2, -51743?
-51743
Which is the smallest value? (a) 0 (b) 68116 (c) 6 (d) -5
d
What is the second biggest value in -6, 4796.3403, -2?
-2
What is the second smallest value in 4, -2/53, -2, -2/41, -0.12, -0.2, -0.1?
-0.2
Which is the sixth biggest value? (a) 8 (b) 49/4 (c) -1/2 (d) 3/44 (e) -1 (f) 3/4 (g) 0.3
c
What is the second smallest value in 2.41, -3, -0.12, -0.4, -247/4?
-3
Which is the second biggest value? (a) -4 (b) -0.5 (c) -135/22 (d) 7.9 (e) 22 (f) -2/7
d
Which is the third smallest value? (a) 0 (b) -1/8 (c) 41.574 (d) -2/3
a
What is the sixth smallest value in -11, 0.1367, 1, -1/5, -15, 0.5?
1
Which is the third biggest value? (a) -2/17 (b) -2/3 (c) -5 (d) -0.128 (e) -2/29 (f) -0.6
d
Which is the fourth smallest value? (a) 26.1 (b) -0.1 (c) -3/5 (d) 2/15 (e) 1 (f) 37/3
e
What is the third biggest value in -0.0324, 227, 7/3, -3.3?
-0.0324
What is the biggest value in -2438, -2, -5, -1/5, -3, -3/4?
-1/5
Which is the fourth smallest value? (a) -4 (b) 5 (c) -121863 (d) -0.2
b
Which is the seventh smallest value? (a) 2/5 (b) 110 (c) 0.2 (d) 1.4 (e) 0 (f) 2/9 (g) 52
b
What is the biggest value in 1.306, -0.4, -6/7, -4, -2/3?
1.306
What is the fourth biggest value in -4.5, 4, -11, 4458, 0.5?
-4.5
What is the fourth smallest value in -4, 0.559, -113, 44?
44
What is the fourth biggest value in -1.58, 278, -4, 0.5, -1, 3/7?
-1
What is the second smallest value in -0.1, 0.09, -3268, -3, -0.3, -1?
-3
Which is the biggest value? (a) 0.02 (b) -0.02 (c) -6 (d) 1/5 (e) -523/8
d
Which is the smallest value? (a) -2/31 (b) 3 (c) -0.4 (d) -2/45 (e) -1 (f) 7/3 (g) 4.4
e
What is the fifth smallest value in 2/7, 0.046, -2/157, 4, 67, -1/8, -0.4?
2/7
What is the second smallest value in 5, 1/11, 7, -6915, 3/2?
1/11
Which is the smallest value? (a) -0.2083 (b) -19 (c) 6/5
b
What is the fourth biggest value in -14, 10, 1145161, 0?
-14
Which is the third smallest value? (a) 1/2 (b) -0.9 (c) -1/3 (d) -0.2 (e) 8 (f) -18763
c
Which is the fifth smallest value? (a) -5/3 (b) 0.09 (c) -4 (d) -0.23 (e) 0 (f) 15/7
b
Which is the fourth smallest value? (a) 470 (b) -0.2 (c) -0.3 (d) 37.5
a
What is the third biggest value in -3, 7, -2/1041, 2/15, -2/25?
-2/1041
Which is the smallest value? (a) 0.4 (b) 2559 (c) -4/3 (d) 0.3 (e) 4/7 (f) -6/37
c
Which is the fourth biggest value? (a) 4924/3 (b) -1/7 (c) 5 (d) -3/5 (e) -3 (f) 1/33
b
Which is the third biggest value? (a) -0.04 (b) 0.3 (c) -824.476 (d) -2/31 (e) -0.1
d
Which is the third smallest value? (a) 256 (b) 11211 (c) -2
b
Which is the fourth biggest value? (a) 9.1885 (b) -0.2 (c) 2 (d) 16 (e) -5 (f) -2
b
What is the third biggest value in -224/47, 0.325, -2/27?
-224/47
Which is the biggest value? (a) 5/4 (b) 6 (c) 1/5 (d) -5 (e) -2.88 (f) -1/30
b
Which is the third biggest value? (a) 1 (b) 5 (c) 79.26 (d) 3 (e) 2/9 (f) 4
f
What is the third smallest value in -21, -1.1, 238.2?
238.2
Which is the sixth biggest value? (a) -2.2 (b) -8 (c) 3 (d) 0.5 (e) 0.319 (f) 1 (g) 2/3
a
Which is the fourth smallest value? (a) -0.4 (b) -7 (c) -0.2 (d) -11 (e) 284
c
Which is the fifth smallest value? (a) 0.1 (b) -0.61 (c) -2 (d) 2/9 (e) -826/9
d
Which is the third smallest value? (a) 0.289 (b) 0.038 (c) 2/203
a
Which is the fifth biggest value? (a) 0 (b) 69 (c) -4 (d) -2/7 (e) 4 (f) 1/6 (g) 2
a
Which is the smallest value? (a) 3/23 (b) 13.8 (c) -2 (d) -1/3 (e) -6/7
c
Which is the fourth biggest value? (a) -107 (b) -2/19 (c) -5 (d) -2/343 (e) 16
c
What is the second biggest value in 2/25, 0, 46978/7?
2/25
What is the second smallest value in -2/11, -0.3421, 52, -1/6, -0.2?
-0.2
What is the biggest value in -1/2, -1, -0.3, 12382630?
12382630
Which is the third smallest value? (a) 5 (b) 0.167 (c) -1 (d) 2/1355
b
What is the fifth biggest value in -5, -0.05, 2, -4, 4/23, -1/4, -0.2?
-1/4
What is the third biggest value in -11324, 1231/2, 1/3?
-11324
Which is the second biggest value? (a) 2043916 (b) 5 (c) 0
b
What is the fourth biggest value in 2, -23437, -0.7, -1, -4, -1/5?
-1
Which is the second biggest value? (a) -123833 (b) 3/4 (c) 0.1 (d) 0.6
d
Which is the third smallest value? (a) -3 (b) 0.0822 (c) 34 (d) 18 (e) -3/7
b
What is the fifth smallest value in -1/112, -1, -2, 391, 0.4?
391
Which is the fourth biggest value? (a) 387 (b) 3/7 (c) -0.4 (d) 1.876 (e) -1
c
What is the seventh smallest value in -2, 2/19, 0.5, 0.1, 0.3, 5, 9?
9
What is the second biggest value in -5, -2/21, -1/11, 0.4, -4, -12, 0.07?
0.07
What is the fifth biggest value in 223, 2/7, 78.92, -2/17, 1?
-2/17
What is the fifth biggest value in 25940, -1, 1.4, 1/9, 0.3?
-1
Which is the third smallest value? (a) -284 (b) -1/3 (c) -1.5082
b
What is the smallest value in -1/17, -5.3, -38, 47?
-38
What is the biggest value in -1/3, -5, -231, 28, -0.1, -2?
28
Which is the fifth smallest value? (a) 0.069 (b) 1 (c) 1/6 (d) 0.5 (e) -2/7 (f) -6
d
What is the fourth biggest value in -36, -1, -4, 8/8391?
-36
Which is the third smallest value? (a) 38 (b) -373 (c) 66
c
What is the biggest value in -2690507, 2/7, 2?
2
What is the third smallest value in -4.8, -9, 1, 717?
1
Which is the fourth biggest value? (a) -11 (b) -6
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{
"pile_set_name": "DM Mathematics"
}
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-0.02 + 0.42. Let v = -0.6 - r. Let x = 263 - 262.99. What is the second smallest value in -3, x, v?
v
Suppose -4*d + 17 + 31 = -5*u, -2*u - 15 = -d. What is the second biggest value in 4, 0.2, d, -0.2?
4
Let l(v) = v**3 - 6*v**2 - 17*v + 65. Let i be l(7). Which is the fourth smallest value? (a) -0.3 (b) i (c) 2 (d) -0.1
c
Let l = -1082 - -1080.9. Which is the second smallest value? (a) 4 (b) -1.5 (c) -2 (d) l
b
Let m = 179 - 188. Let k = -3/37 + 58/259. What is the biggest value in k, -3/5, m?
k
Suppose 8*o + 6*o = -56. Let d = 9.1 + -8. Which is the second smallest value? (a) -0.1 (b) d (c) o
a
Let x = -2.6 - 0.5. Let n = -2.7 - x. What is the smallest value in -0.2, -1/2, n?
-1/2
Suppose 285*k - 48 = 297*k. Which is the third biggest value? (a) k (b) 38 (c) -3
a
Let g = -61.5 - -62. What is the third biggest value in g, 2, 3, -1/10?
g
Let l = -5.12 + 0.12. Let t = 5.61 - 0.51. Let x = -0.1 + t. What is the second smallest value in l, 0.5, x?
0.5
Let u = -177 + 175. Which is the third smallest value? (a) -2/29 (b) 0.5 (c) u
b
Let j = 2/141 + 415/564. What is the third smallest value in -3, j, 0.1?
j
Let k = -8.88 - -13.88. Which is the fourth biggest value? (a) -5 (b) k (c) 71 (d) -0.2
a
Let z = 2273/3036 + 1/759. Which is the fourth biggest value? (a) z (b) -2/21 (c) -0.07 (d) -1/6
d
Suppose -2*d + 8*d = 138. Suppose 0 = -5*v + 23 - d. Let y be 4/6 - (-5)/(-3). What is the biggest value in y, v, -5?
v
Let r = 136/945 - 2/189. Let y be (-6)/(-10)*(-3)/(-81). Let n = y - -1/5. What is the second smallest value in -2/3, n, r?
r
Suppose 0 = -31*y - 9 + 40. Suppose 23 = 2*g + 3*g - 3*x, -4*x + 16 = 0. What is the biggest value in 3, y, 0.4, g?
g
Let q = -3 + -15. Let p = q - -11. Let z = -6.7 - p. Which is the second biggest value? (a) 4 (b) 1/4 (c) z
c
Let o = 834.9 + -835.1. Let z = -0.05 + 0.35. What is the third smallest value in o, 2, z?
2
Let x = 1/260 + 3/20. Let m = 22.3 + -26. Let v = 4 + m. Which is the third biggest value? (a) x (b) v (c) 2
a
Let w = 226654 + -3850940/17. Let p = w + -128. Let h = 0.1 - 0.6. Which is the smallest value? (a) h (b) 1 (c) p
a
Let d = -30.1238 + 0.1238. Which is the second smallest value? (a) 0.1 (b) d (c) 1/3
a
Suppose 504*o + 30 = 510*o. Which is the third biggest value? (a) -0.1 (b) o (c) -46 (d) 1/12
a
Let n = -7.6 - -4.6. Let c = -10/11 - -8/33. What is the second biggest value in c, 10, 1, n?
1
Suppose v = 2*v - 12. Suppose -v = -2*t + t. Let g(f) = f**2 - 12*f + 3. Let z be g(t). Which is the biggest value? (a) z (b) -3 (c) 4
c
Let h be (-5 + -1)*(-5)/(-10) - 22. Which is the third biggest value? (a) 0 (b) -5 (c) -4 (d) h
b
Let s be 12/(-8)*(-6)/27. Let j = 0.96 + 0.04. Let d = -2 + 2. What is the third biggest value in j, s, d?
d
Let f = 253 + -253.119. Let k = 0.119 + f. What is the biggest value in k, 0.1, -0.02?
0.1
Let t = -0.09 - -0.19. Let z = 1968/3487 - 6/317. Which is the smallest value? (a) t (b) z (c) 4
a
Let h = 0.24 - -0.06. Let x = -0.343 - -0.043. Which is the second smallest value? (a) -0.5 (b) h (c) x
c
Let j = 175/303 + 9/101. Which is the fourth smallest value? (a) j (b) 3 (c) -1/4 (d) -1/120
b
Let l = 275.6 - 276. What is the second smallest value in 6/17, 1/6, 0, l?
0
Let z = -2 + 6. Let d(q) = -q**2 + 6*q + 5. Let m(w) = 3*w - 11. Let i be m(6). Let o be d(i). What is the third biggest value in z, o, 1/10?
o
Let s = 1279 + -1289. Which is the second biggest value? (a) -0.2 (b) s (c) 1/5 (d) -2
a
Let t = -288 + 164. Which is the third biggest value? (a) 0.2 (b) t (c) -4/3 (d) 4/3
c
Let s be (-3)/(-4) - 34/24. What is the second smallest value in -6, s, 1/3?
s
Let p = -135 + 134.8. What is the fourth biggest value in 44, p, 2, 4?
p
Suppose 0 = n + 5*b + 16, 11 = 5*n - 2*b + 10. What is the third biggest value in -190, n, 5?
-190
Let u = 290.9 - 292. What is the second smallest value in 2/23, -2, u?
u
Suppose s = 2*s - 1. Let w = -0.079 + 0.229. Let f = -0.15 + w. What is the biggest value in s, 0.3, f?
s
Let i(z) = -3*z**2 + 76*z + 51. Let h be i(26). Which is the second biggest value? (a) -1/8 (b) 0.5 (c) h
a
Suppose 0 = 2*z + 3*q + 20, 5*q = -0*z + 5*z. Suppose 0 = -2*x + 5*x + 330. Let o be (-6)/(-33) + (-112)/x. Which is the smallest value? (a) 3/7 (b) z (c) o
b
Let u be 4/(-10)*(3304/(-294) + 11). Let o = 0.04 - 0.44. Which is the third smallest value? (a) u (b) -1/2 (c) o
a
Let n = 170 - 844/5. Let g = 15.1 - 14.8. Which is the second biggest value? (a) g (b) -5 (c) 2/3 (d) n
c
Let g(p) = p**3 + p**2 + 17. Let j be g(-3). Let k = -2.29 + 0.29. What is the third smallest value in k, -0.1, j?
-0.1
Let l = -104.7 - -105. Suppose -3*n + 10 = 1. Let g be n - 1/((-2)/(-6)). Which is the smallest value? (a) l (b) -5 (c) g
b
Let h = -14 - -27. Let x = -8 + h. Let q = -0.1 + -0.2. What is the smallest value in 2/5, q, x?
q
Let s = 207 + -207.6. Which is the third biggest value? (a) -0.4 (b) s (c) 4
b
Let r = -0.81 + 0.9. Let q = -1021 + 6127/6. Which is the third biggest value? (a) 0.5 (b) r (c) q
b
Let o = 9 + -5. Let x be -20*(-14)/(-5775) - (-2)/(-15). Which is the second smallest value? (a) x (b) o (c) 0.2 (d) 0.5
c
Let s = 0.5 + -0.6. Let o(n) = 2*n + 23. Let t be o(-7). Suppose -t*x - 31 - 5 = 0. Which is the third smallest value? (a) x (b) -2/41 (c) s
b
Let z = 4 - 6. Let o(h) = -h**3 - 71*h**2 - 201*h + 206. Let t be o(-68). What is the smallest value in 0.3, z, t, 4?
z
Let p = 2.67 + 9.43. Let q = p - 12. Let i = q + -0.15. Which is the second biggest value? (a) i (b) -3/5 (c) -2
b
Let t = -1.289 + 1.489. Which is the fourth smallest value? (a) 18 (b) t (c) 0 (d) 5
a
Let m = 0.8 - 3.8. Let l = -0.419 + 0.019. Let y be (-2)/(-3)*42/(-4). What is the second biggest value in m, y, l?
m
Let z = -0.15 + 35.15. Let d = 34 - z. What is the second biggest value in d, 3/11, 2/3?
3/11
Let h be (6/32)/(6/72). What is the third biggest value in 1, -3/7, h, 0?
0
Suppose b + 2 = -b. Let r be (6 + -1)/((-1)/b). Let m be (20/18)/(22/(-33)) + 1. What is the second biggest value in -2/11, r, m?
-2/11
Let g(h) = 2*h**2. Let o be g(-1). Let i(p) = -6*p + 9. Let k be i(o). Let m be 2/7 - 33/(-7). Which is the third biggest value? (a) m (b) 1/2 (c) k
c
Let r = -0.03 + 4.03. What is the fourth biggest value in r, 47, 5/3, 1?
1
Let z = -1064 - -1060. What is the second biggest value in z, 0.1, 117?
0.1
Let o be 3/12 - (-5948)/(-528). Let k = -65/6 - o. What is the smallest value in 2/15, 4, k?
2/15
Let z = 56 + -54.45. Let y = z - -0.45. What is the fourth biggest value in -4, y, -3/2, 2/3?
-4
Let a = 0.3 + -0.4. Let v = -58.053 + 58. Let n = v + -0.947. What is the third smallest value in n, 0.4, a?
0.4
Suppose o + 4 = 33. Let i = o - 22. Let u(t) = t**3 + 4*t**2 + 3*t + 2. Let n be u(-3). What is the second biggest value in -0.3, i, n?
n
Let q be (22/6 - 1)/(1/15). Let b be 6/(-8) + 14/q. What is the second smallest value in b, 0.2, -0.1, -1?
b
Let o = -44 + 45. Suppose -17 = 13*r + 35. Which is the fourth biggest value? (a) o (b) -0.7 (c) r (d) -0.4
c
Let j = -1985/4 - -496. Which is the second biggest value? (a) j (b) 0 (c) -1/2 (d) 0.2
b
Let z = -1270 - -1269.5. Which is the third biggest value? (a) -3 (b) 2 (c) -4 (d) z
a
Let u = 1.3 - 1.7. Suppose 3*b + 4*j + 29 = 0, -2*j = -2*b - 6*j - 26. What is the biggest value in b, u, 3?
3
Let g = 2.27 + -1.87. Which is the smallest value? (a) -1 (b) 3 (c) g
a
Let o be -36*((-6)/(-9) + (4 - 4)). Let i be (-32)/o*(-1)/(-3). What is the biggest value in -5, -2/3, -4, i?
i
Let f = 2.51 + -4.29. Let i = 0.78 + f. Let v = -1 - -0.6. Which is the third smallest value? (a) i (b) 1 (c) v
b
Let r = 0.5219 + -0.1219. Which is the biggest value? (a) 3/5 (b) r (c) 9/7 (d) 2
d
Let l = -0.17 - 0.23. Let k = -34 + 34. What is the smallest value in l, k, -1?
-1
Let z = 3 - 0.8. Let n = -2.1 + z. Let x = n + 0.1. What is the second smallest value in -2/21, -0.5, x?
-2/21
Let d = 9 - 9.02. Let b = d + -0.18. What is the biggest value in b, -2, 8?
8
Let v = 3 - 3.06. Let i = 12397/15 - 2480/3. What is the biggest value in 5, v, i, -4?
5
Let s = 4 + -4. Suppose 0*b - 2 = 2*b. Let w be 80/25 - b/(-5). What is the second biggest value in
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{
"pile_set_name": "DM Mathematics"
}
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1/60
What is prob of sequence dxv when three letters picked without replacement from {x: 4, f: 3, d: 1, v: 11}?
22/2907
Three letters picked without replacement from yhxxcvxhxxyhxx. What is prob of sequence hhx?
1/52
Calculate prob of sequence ai when two letters picked without replacement from ioaioiaoadtoqqtiqaao.
1/19
Three letters picked without replacement from {j: 5, c: 2}. What is prob of sequence cjc?
1/21
Calculate prob of sequence ky when two letters picked without replacement from yytk.
1/6
Four letters picked without replacement from kdkpkpkkgdppddd. What is prob of sequence dpkg?
5/1638
Three letters picked without replacement from {z: 3, a: 1, l: 2, x: 4, s: 1, y: 4}. What is prob of sequence lxx?
4/455
Three letters picked without replacement from {o: 1, m: 1, w: 1, c: 1, e: 1}. What is prob of sequence moc?
1/60
What is prob of sequence hq when two letters picked without replacement from hqhhhhhhhhhh?
1/12
What is prob of sequence iyyi when four letters picked without replacement from {y: 4, i: 3, k: 4}?
1/110
What is prob of sequence pp when two letters picked without replacement from dapddppdwd?
1/15
Calculate prob of sequence aak when three letters picked without replacement from akaas.
1/10
What is prob of sequence qwgw when four letters picked without replacement from gqqwqwq?
1/105
Calculate prob of sequence ri when two letters picked without replacement from {k: 5, r: 2, i: 3}.
1/15
What is prob of sequence lll when three letters picked without replacement from {l: 5, d: 2}?
2/7
Calculate prob of sequence ffff when four letters picked without replacement from {f: 10}.
1
Calculate prob of sequence qrl when three letters picked without replacement from rrqlrlrrrfrlll.
5/312
Calculate prob of sequence vvv when three letters picked without replacement from vvv.
1
Calculate prob of sequence uuuy when four letters picked without replacement from {u: 8, y: 3}.
7/55
Two letters picked without replacement from jjjjjjjjjjjjjiijjjjj. What is prob of sequence ji?
9/95
What is prob of sequence fxf when three letters picked without replacement from {q: 5, x: 1, f: 4}?
1/60
Three letters picked without replacement from dcddxqdddcwqdxdcvd. What is prob of sequence cxx?
1/816
Four letters picked without replacement from wxxxxxxwpxxwxwwxwxw. Give prob of sequence wxxx.
385/5168
Three letters picked without replacement from {g: 8, i: 2}. Give prob of sequence gig.
7/45
Calculate prob of sequence qaaq when four letters picked without replacement from aqayayaqq.
1/42
Two letters picked without replacement from eeeeeeheeeeeeheeee. Give prob of sequence ee.
40/51
What is prob of sequence ov when two letters picked without replacement from wwjlwjjwojllljjvjdw?
1/342
Three letters picked without replacement from {u: 2, s: 6}. What is prob of sequence ssu?
5/28
Two letters picked without replacement from sgsggggssgggggsssgg. Give prob of sequence gg.
22/57
Three letters picked without replacement from iriffffffrffrrfirir. Give prob of sequence rff.
24/323
What is prob of sequence dzd when three letters picked without replacement from {i: 3, d: 4, p: 2, z: 9}?
3/136
Four letters picked without replacement from {e: 2, a: 3, p: 3}. What is prob of sequence paae?
3/140
Two letters picked without replacement from cydluuq. Give prob of sequence lq.
1/42
What is prob of sequence zgg when three letters picked without replacement from {z: 3, g: 2}?
1/10
Calculate prob of sequence xc when two letters picked without replacement from {x: 7, g: 6, c: 4, h: 1}.
14/153
Two letters picked without replacement from {c: 4, a: 3}. Give prob of sequence cc.
2/7
Two letters picked without replacement from {n: 4, m: 1, h: 6}. What is prob of sequence hm?
3/55
Calculate prob of sequence hih when three letters picked without replacement from {a: 2, h: 2, c: 1, i: 5, g: 2, q: 1}.
5/858
What is prob of sequence vvzr when four letters picked without replacement from zvvzrr?
1/45
Two letters picked without replacement from uunnnnnnusnzzpnnnnl. Give prob of sequence zn.
11/171
Four letters picked without replacement from ctancctcnntaacccatc. What is prob of sequence ttnc?
1/323
Three letters picked without replacement from {p: 1, v: 1, w: 1, a: 1, k: 1}. Give prob of sequence vpk.
1/60
Two letters picked without replacement from aaaaaaacaaacwaaaa. Give prob of sequence aa.
91/136
Two letters picked without replacement from {b: 3, l: 11}. What is prob of sequence bl?
33/182
Three letters picked without replacement from ceecccc. What is prob of sequence ecc?
4/21
Two letters picked without replacement from wuuxufcwexcxw. Give prob of sequence uf.
1/52
Three letters picked without replacement from {x: 1, m: 8, z: 1, b: 3, a: 4}. Give prob of sequence bax.
1/340
Two letters picked without replacement from iipiu. Give prob of sequence ip.
3/20
Calculate prob of sequence im when two letters picked without replacement from iinniivmniiiinnniii.
11/342
What is prob of sequence mws when three letters picked without replacement from yiiwwxxwyyyismxmxiiy?
1/1140
Two letters picked without replacement from {n: 3, c: 4}. What is prob of sequence cn?
2/7
What is prob of sequence smg when three letters picked without replacement from {s: 1, m: 2, o: 10, g: 1}?
1/1092
What is prob of sequence oogg when four letters picked without replacement from poloploglaogoglo?
3/728
Three letters picked without replacement from einizneiein. Give prob of sequence ine.
2/55
Two letters picked without replacement from {d: 7, o: 1}. What is prob of sequence do?
1/8
Four letters picked without replacement from iiigagiri. What is prob of sequence aggi?
5/1512
Three letters picked without replacement from hzkhhhkkhzkkkkhkz. Give prob of sequence hzh.
3/136
Three letters picked without replacement from {x: 7, n: 9}. What is prob of sequence nnx?
3/20
Two letters picked without replacement from mmcfetmmtmtmffmtmmf. Give prob of sequence tc.
2/171
Calculate prob of sequence qpv when three letters picked without replacement from {m: 1, r: 1, p: 1, v: 3, q: 11, z: 2}.
11/1938
Calculate prob of sequence hchc when four letters picked without replacement from chcccchccccccccccccc.
1/190
Calculate prob of sequence epp when three letters picked without replacement from pppjpvqvqjmppev.
1/91
What is prob of sequence xyu when three letters picked without replacement from {x: 6, y: 3, u: 2, j: 1, a: 1}?
3/143
Two letters picked without replacement from {z: 1, y: 8, g: 9, a: 2}. What is prob of sequence ga?
9/190
What is prob of sequence cc when two letters picked without replacement from {t: 7, c: 5}?
5/33
What is prob of sequence sq when two letters picked without replacement from sqanna?
1/30
Calculate prob of sequence piph when four letters picked without replacement from {p: 4, i: 1, h: 3}.
3/140
Two letters picked without replacement from {l: 4, z: 5, v: 2}. Give prob of sequence zv.
1/11
Three letters picked without replacement from ijjojiiopjooiijx. Give prob of sequence jpj.
1/168
What is prob of sequence yeyo when four letters picked without replacement from nnohvvyvvnennnyen?
1/14280
Four letters picked without replacement from {o: 17, k: 1}. Give prob of sequence okoo.
1/18
Two letters picked without replacement from ohhn. What is prob of sequence oh?
1/6
What is prob of sequence rs when two letters picked without replacement from sfrfrs?
2/15
What is prob of sequence oa when two letters picked without replacement from coqaoa?
2/15
Four letters picked without replacement from {e: 1, s: 3, p: 6, d: 9}. Give prob of sequence pppe.
5/3876
Two letters picked without replacement from {v: 1, i: 3, k: 2, r: 9, y: 2}. What is prob of sequence ik?
3/136
Calculate prob of sequence kknk when four letters picked without replacement from nkkhhhkkk.
5/252
What is prob of sequence ekx when three letters picked without replacement from ennxnnnkn?
1/504
Three letters picked without replacement from qpqqqqqppqpqqpqqzq. What is prob of sequence zpq?
5/408
What is prob of sequence gigi when four letters picked without replacement from {h: 1, g: 3, z: 1, i: 2}?
1/70
What is prob of sequence kok when three letters picked without replacement from kkpokkppkopnko?
15/364
Calculate prob of sequence xf when two letters picked without
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{
"pile_set_name": "DM Mathematics"
}
|
n**2 - 6*n - 3. Let k(l) = -24*p(l) - 3*q(l). Let x(y) = -49*y**2 + 2*y - 2. Determine 2*k(g) + 9*x(g).
-51*g**2
Suppose -3*v = 5*h - 21, -2*h - 4 = 79*v - 84*v. Let g(l) = 3*l**2 + 2*l - 4. Let x(f) = -3*f**2 - 2*f + 3. Give h*x(j) + 4*g(j).
3*j**2 + 2*j - 7
Let k(c) = -20*c + 52. Let z(v) = -82*v + 212. What is -25*k(d) + 6*z(d)?
8*d - 28
Let l(m) = -4*m + 2. Let t be 8/6*(3 + -6). Let z(b) be the first derivative of 80 + b - 1/2*b**2. Give t*z(u) + 2*l(u).
-4*u
Suppose 0 = -3*f + k + 4*k - 41, -3*k + 33 = -3*f. Let y(a) = 3*a - 1. Let r(x) = -10*x + 2. Suppose -5*l = 3*c - 3 - 1, 8 = -3*c + l. What is c*r(b) + f*y(b)?
-b + 3
Let q = -4 + 1. Let s be ((-10)/15*12)/(2/(-3)). Let a(b) = -19*b**3 + 11*b**3 + s*b**3 + 3*b**2 + 3. Let d(f) = -5*f**3 - 4*f**2 - 4. What is q*d(w) - 4*a(w)?
-w**3
Let k(v) = 9*v**3 - 2*v**2 + 8*v + 135. Let o(g) = 5*g**3 + 4. Calculate k(z) - 2*o(z).
-z**3 - 2*z**2 + 8*z + 127
Let f(i) = -49489*i + i**3 + 49489*i. Let k(y) = -4*y**3. Give -18*f(w) - 4*k(w).
-2*w**3
Let o(f) = -50 + 125 - 76. Let q(g) = 46*g - 8. Give -6*o(b) + q(b).
46*b - 2
Let d(m) = -160*m + 1. Let g(w) = 810*w - 5. Calculate -11*d(z) - 2*g(z).
140*z - 1
Let w(r) be the first derivative of r - 25673. Let f(v) be the second derivative of v**3/3 - 3*v**2/2 - v. What is f(o) + 4*w(o)?
2*o + 1
Let n(y) = 6*y**2 + 4*y - 6. Let i(m) = 2*m**2 + m - 2. Let w = -43355 + 43353. Calculate w*n(a) + 7*i(a).
2*a**2 - a - 2
Let w(s) = -38*s**2 + 2*s - 8. Let b be 3/2 + 6955/1070. Let z(t) = 25*t**2 - t + 5. What is b*z(y) + 5*w(y)?
10*y**2 + 2*y
Let k(h) = -h**2 + 4. Let n(z) = -1186*z**2 - 2*z + 20. Determine 5*k(r) - n(r).
1181*r**2 + 2*r
Let q(f) = 4*f**3 - 7*f**2 + 2*f - 1. Let h(x) = 1 - 4553*x + 7*x**2 - 10*x**3 + 4550*x + 5*x**3 - 6*x**2 + 6*x**2. Give 2*h(o) + 3*q(o).
2*o**3 - 7*o**2 - 1
Let k(m) = -11*m**3 + 775*m**2 + 7*m. Let x(q) = -6*q**3 + 385*q**2 + 4*q. Calculate 4*k(v) - 7*x(v).
-2*v**3 + 405*v**2
Let f = -1 + -1. Let i(z) be the second derivative of z**4/6 - 2*z**3/3 - z**2/2 - 17249*z. Let o(q) = -2*q**2 + 5*q + 1. What is f*o(v) - 3*i(v)?
-2*v**2 + 2*v + 1
Let a(m) = 3*m**2 - 9*m + 7. Let j(y) = -8*y**2 + 19*y - 11. Give -7*a(r) - 3*j(r).
3*r**2 + 6*r - 16
Let i = 6169 + -6166. Let k(z) = z**2 - 3*z - 21. Let y(r) = r + 1. Determine i*y(m) + k(m).
m**2 - 18
Let s(v) = -15209*v**2 + 469*v. Let y(x) = -65*x**2 + 2*x. Suppose 24*g + 58 = -0*g - 5*g. Calculate g*s(z) + 469*y(z).
-67*z**2
Let y(d) = 66*d**3 - 19*d**2 - 8. Let l(x) = 3*x**3 - x**2 - 1. Let b(g) = -76*l(g) + 4*y(g). Let v(m) = m**3 + 1. Determine -4*b(s) + 176*v(s).
32*s**3
Let v(b) = -2*b + 3. Let i(z) = 3*z - 6. Let f(x) = 2*i(x) + 5*v(x). Let h = 114076 - 114079. Let u(o) = -5*o + 2. Calculate h*f(q) + 4*u(q).
-8*q - 1
Let o(t) = -15*t**2 + 2247*t + 23. Let r(q) = -13*q**2 + 2249*q + 20. Determine -6*o(s) + 7*r(s).
-s**2 + 2261*s + 2
Let l be ((-10)/4)/((-225)/810). Let b(t) = 4*t**3 + 1. Let q(y) = -17*y**3 - 5. Let v be (0 - 2) + 5 - (-14 - -15). Determine l*b(z) + v*q(z).
2*z**3 - 1
Let l(i) = -2*i**2 + 14*i + 3. Suppose -8*n - 5*n + 26 = 0. Let u be (-12)/24*(0 + 12/n). Let q(p) = -2*p**2 + 13*p + 2. Determine u*q(r) + 2*l(r).
2*r**2 - 11*r
Let w(z) be the first derivative of -5*z**2 + 3*z + 2. Let c(y) be the first derivative of 15*y**2 - 10*y + 15718. Give 3*c(v) + 10*w(v).
-10*v
Let h(b) = b**3 + 5*b**2 - 42*b - 4. Let y(m) = -m**3 - 9*m**2 + 85*m + 8. What is 5*h(x) + 3*y(x)?
2*x**3 - 2*x**2 + 45*x + 4
Suppose -9*m = 5*j + 49, 5*m + 33 = -j + 4. Let x(u) = u. Let t(o) = -o**2 + 7. Determine j*t(z) + 2*x(z).
-z**2 + 2*z + 7
Let i(u) = -8*u**2 + 2*u + 3. Let t(z) = 15*z**2 - 3*z - 6. Suppose p + 5 = v, 0 = -2*v - p - 11 + 18. Give v*t(l) + 7*i(l).
4*l**2 + 2*l - 3
Let r(q) = 2*q + 3. Suppose 4*x + 16 = -4*l, 0 = 5*l + 17*x - 15*x + 17. Let o(z) be the first derivative of -7*z - 5/2*z**2 - 2. Give l*o(y) - 7*r(y).
y
Let y(i) = i**3 - i**2 - i + 8. Let a(h) = -3*h**3 + 2*h**2 + 3*h - 23. Let u be (-3345)/(-1784) - (-39)/(-8). Determine u*a(l) - 8*y(l).
l**3 + 2*l**2 - l + 5
Let z(d) = -34*d**2 - 4*d + 6. Let n = -28866 + 28877. Let a(m) = 68*m**2 + 7*m - 11. Give n*z(b) + 6*a(b).
34*b**2 - 2*b
Let s(a) = -2*a**3 + 35*a**2 - 3*a - 8. Let g(m) = -2*m**2 - m + 1. What is 5*g(v) - s(v)?
2*v**3 - 45*v**2 - 2*v + 13
Let x(k) = -58*k**3 - 12*k - 2. Let d(f) = -57*f**3 - f**2 - 9*f - 2. Determine -4*d(c) + 3*x(c).
54*c**3 + 4*c**2 + 2
Let j = -7 - -11. Let d(o) = -j*o - o + o. Let f(i) = i + 1. Let c(z) = -d(z) - 3*f(z). Let g(r) = -2. Give 4*c(s) - 6*g(s).
4*s
Let k(x) = 2*x**2 - 8*x + 4. Let f(p) = 2*p**2 + p + 18. Let a(n) = 4*n**2 - 6*n + 21. Let z(l) = -a(l) + f(l). Give -2*k(b) - 3*z(b).
2*b**2 - 5*b + 1
Let w(n) be the second derivative of -3*n**5/10 + n**4/12 - 5*n**3/6 - 72*n + 3. Let r(u) = u**3 + u - 1. What is 5*r(x) + w(x)?
-x**3 + x**2 - 5
Suppose -b = o, 2*b - 29*o = -32*o - 3. Let z(j) = -181 + b*j**2 - 5*j**2 - j + 182. Let f(s) = s - 1. Determine 2*f(g) + 2*z(g).
-4*g**2
Let y(d) = d**3. Let m be (-4)/(-30)*((-2701)/(-185) + 4/10). Suppose -6*l = -l - 15. Let q(c) = -2*c**3. Calculate l*q(h) + m*y(h).
-4*h**3
Let u(h) = -7260*h**2 + 5*h + 10. Let p(c) = -10889*c**2 + 7*c + 14. Determine 5*p(v) - 7*u(v).
-3625*v**2
Let v(t) = -4*t - 1. Let g(q) = -5*q**2 - 5*q + 8. Give g(j) - 2*v(j).
-5*j**2 + 3*j + 10
Suppose -z - 12 = 3*v, 4*z + v + 27 = -4*v. Let k(i) = -5*i - 1. Let y(o) be the second derivative of 3*o**3/2 + o**2 - 19244*o. Calculate z*y(j) - 5*k(j).
-2*j - 1
Let b(m) = 2*m. Let i(s) = -s - 19*s + 2 + 7*s - 3 + 10*s. Suppose x = -t - 0*t - 3, -x - 3 = -3*t. Give x*i(l) - 5*b(l).
-l + 3
Let c(u) = 73*u**2 - 859 - 38*u**2 + 32*u**3 + 854 - 40*u**2. Let l(k) = -k**2 - 1. Give c(r) - 5*l(r).
32*r**3
Let z(f) = -11*f - 11. Let b(t) = 6*t + 5. Let l = -564 - -1483. Suppose -924*c = -l*c - 25. What is c*z(h) + 11*b(h)?
11*h
Let p(f) = 304*f**2 - 5*f - 7. Let q(r) = -610*r**2 + 9*r + 11. Give 5*p(s) + 3*q(s).
-310*s**2 + 2*s - 2
Let s(y) = -313*y - 4*y**2 - 7 + 199*y + 97*y. Let q(d) = -2*d**2 - 9*d - 4. Give -11*q(k) + 6*s(k).
-2*k**2 - 3*k + 2
Suppose 4*s + v + 3*v - 16 = 0, 0 = -s + 2*v + 13. Suppose s*f - 484 + 421 = 0. Let k(b) = 8*b - 3. Let o(p) = -2*p + 1. Calculate f*o(l) + 2*k(l).
-2*l + 3
Let y(v) = -v + 5. Let j(m) = 572 - 143 - 147 - 138 - 140 - 2*m. What is -3*j(n) + 4*y(n)?
2*n + 8
Let y(h) = -119*h**3 + 5*h**2 - 148*h + 1. Let z(l) = -117*l**3 + 4*l**2 - 118*l + 1. Determine 4*y(d) - 5*z(d).
109*d**3 - 2*d - 1
Let c = -1255 - -1266. Let i = -2 - -4. Let z(k) = 2*k**2 + 5 + k**i - 8*k + 3 + 2*k**2. Let x(n) = 2*n**2 - 3*n + 3. Calculate c*x(o) - 4*z(o).
2*o**2 - o + 1
Let d(q) = q**2 + 147*q + 5225. Let o be d(-87). Let l(r) = -r. Let x(g) = g**3 - g. Calculate o*l(m) - x(m).
-m**3 - 4*m
Let r(k) = -3*k**2 + 2*k. Let x(n) = 3*n**2 - 3*n. Let u = -10 + 10. Suppose u = 4*q + q + 10. Suppose 0 = -4*c + 21 - 33. What is c*r(f) + q*x(f)?
3*f**2
Let i(p) = -3*p**2 + 5*p - 5. Let s(n) be the second derivative of n**4/2 - 3*n**3/2 + 9*n**2/2 - n. Suppose 143*q - 90 = 113*q. Give q*s(j) + 5*i(j).
3*j**2 - 2*j + 2
Let s(m) = -3*m + 1243. Let n(f) = 10*f - 3764. Calculate -2*n(u) - 7*s(u).
u - 1173
Let s(u) = -2*u + 2866. Let o(d) = d**2 - 3*d + 2850. Give -2*o(h) + 3*s(h).
-2*h**2 + 2898
Let u(h) be the third derivative of -h**3/6 + h**2. Let l = -76 - -78. Let m(b) = l*b + 4*b + 5 + 1 - 2*b + 2*b. Calculate m(p) + 8*u(p).
6*p - 2
Suppose 0 = 23*p + 8 + 38. Let f(i) = 3. Let r(x) = -x + 10. Determine p*r(b) + 7*f(b).
2*b + 1
Let l(d) = -46*d + 14. Let z(p) = -9*p + 3. Let t = 10706 + -10709. Suppose -39 = -2*s - 11. Give s*z(y) + t*l(y).
12*y
Let f be (-11 + -1)/(3 + -1). Let l(p) = -2*p**2 - 17*p + 21. Let u(g) = -g**2 - 9*g + 11. Give f*l(a) + 11*u(a).
a**2 + 3*a - 5
Let z(r) = -63*r**3 - 3*r**2 - 6. Let d(f) = 251*f**3 + 12*f**2 - f + 27. Determine 2*d(o) + 9*z(o).
-65*o**3 - 3*o**2 - 2*o
Let u(s) = -984*s**2 + 26*s + 6. Let w(y) = 496*y**2 - 12*y - 3. Determine 6*u(z) + 13*w(z).
544*z**2 - 3
Let f(c) = 88*c - 17. Let y(t) = -1050*t + 200. Determine -35*f(r) - 3*y(r).
70*r - 5
Let h(o) = 8*o**2 + 7*o - 6. Let s(i) = 9*i**2 + 9*i - 10. Let x(a) = 6*h(a) - 4*s(a). Let j(k) = -23*k**2 - 13*k - 9. Calculate -6*j(m) - 13*x(m).
-18*m**2 + 2
Let o(s) = 5*s**3 - 7
|
{
"pile_set_name": "DM Mathematics"
}
|
term of -900, -2088, -3280, -4476, -5676?
-2*x**2 - 1182*x + 284
What is the f'th term of 36048, 33990, 31932?
-2058*f + 38106
What is the g'th term of 138, 479, 1016, 1737, 2630, 3683?
-2*g**3 + 110*g**2 + 25*g + 5
What is the c'th term of -2927507, -5854956, -8782405?
-2927449*c - 58
What is the n'th term of -5820, -14070, -24746, -37848?
-1213*n**2 - 4611*n + 4
What is the g'th term of 1643, 1580, 1517?
-63*g + 1706
What is the o'th term of -467557, -467735, -467913, -468091, -468269, -468447?
-178*o - 467379
What is the s'th term of 3985222, 3985219, 3985216?
-3*s + 3985225
What is the v'th term of -986, -1494, -2828, -5402, -9630, -15926?
-69*v**3 + v**2 - 28*v - 890
What is the f'th term of 62573, 63834, 65093, 66350, 67605, 68858?
-f**2 + 1264*f + 61310
What is the z'th term of 1326102, 2652208, 3978332, 5304480, 6630658?
z**3 + 3*z**2 + 1326090*z + 8
What is the r'th term of -321, -538, -617, -510, -169?
8*r**3 + 21*r**2 - 336*r - 14
What is the m'th term of -51604, -411297, -1387612, -3288859, -6423348, -11099389, -17625292?
-51385*m**3 - m**2 + 5*m - 223
What is the r'th term of 5577, 6744, 7911, 9078?
1167*r + 4410
What is the w'th term of -23939, -27778, -34175, -43130, -54643, -68714?
-1279*w**2 - 2*w - 22658
What is the w'th term of -6146031, -6146031, -6146029, -6146025, -6146019, -6146011?
w**2 - 3*w - 6146029
What is the c'th term of 392312, 392339, 392366, 392393, 392420?
27*c + 392285
What is the o'th term of 8591, 9186, 10183, 11588, 13407?
o**3 + 195*o**2 + 3*o + 8392
What is the z'th term of -2502, -2011, -1286, -327, 866, 2293?
117*z**2 + 140*z - 2759
What is the b'th term of -65757881, -131515771, -197273661, -263031551, -328789441, -394547331?
-65757890*b + 9
What is the x'th term of 4080, 4207, 4352, 4521, 4720, 4955, 5232, 5557?
x**3 + 3*x**2 + 111*x + 3965
What is the q'th term of 7361, 7362, 7367, 7376?
2*q**2 - 5*q + 7364
What is the f'th term of 255, 848, 1821, 3180, 4931, 7080, 9633?
f**3 + 184*f**2 + 34*f + 36
What is the l'th term of -91654, -183271, -274888?
-91617*l - 37
What is the x'th term of -91, -359, -803, -1423?
-88*x**2 - 4*x + 1
What is the w'th term of -34583, -69442, -104299, -139154, -174007?
w**2 - 34862*w + 278
What is the k'th term of -86179370, -172358744, -258538118, -344717492, -430896866?
-86179374*k + 4
What is the j'th term of 2410, 2543, 2746, 3019, 3362, 3775, 4258?
35*j**2 + 28*j + 2347
What is the a'th term of -1347097, -2694163, -4041225, -5388283?
2*a**2 - 1347072*a - 27
What is the r'th term of -62908, -251640, -566212, -1006636, -1572924, -2265088, -3083140, -4027092?
-2*r**3 - 62908*r**2 + 6*r - 4
What is the r'th term of 370, 1017, 1918, 3055, 4410, 5965, 7702?
-3*r**3 + 145*r**2 + 233*r - 5
What is the h'th term of -73017390, -73017391, -73017392?
-h - 73017389
What is the f'th term of 164306, 657245, 1478810, 2629001, 4107818?
164313*f**2 - 7
What is the p'th term of -5043, -10716, -16389, -22062?
-5673*p + 630
What is the k'th term of -1809, -6962, -15523, -27492, -42869, -61654, -83847?
-1704*k**2 - 41*k - 64
What is the c'th term of -1360, -2733, -4080, -5395, -6672, -7905?
c**3 + 7*c**2 - 1401*c + 33
What is the v'th term of 335, 1929, 6279, 14771, 28791?
231*v**3 - 8*v**2 + v + 111
What is the o'th term of 1111, 6329, 11573, 16855, 22187, 27581, 33049?
2*o**3 + o**2 + 5201*o - 4093
What is the u'th term of 314, 336, 120, -340, -1050, -2016, -3244?
-u**3 - 113*u**2 + 368*u + 60
What is the g'th term of -44987413, -89974826, -134962239?
-44987413*g
What is the z'th term of 5614778, 11229552, 16844326?
5614774*z + 4
What is the t'th term of 6327599, 6327594, 6327575, 6327536, 6327471?
-t**3 - t**2 + 5*t + 6327596
What is the g'th term of -19165, -34016, -48873, -63736, -78605, -93480, -108361?
-3*g**2 - 14842*g - 4320
What is the c'th term of -31349, -37240, -43131, -49022, -54913, -60804?
-5891*c - 25458
What is the x'th term of 2665, 2622, 2549, 2446, 2313?
-15*x**2 + 2*x + 2678
What is the g'th term of -85778, -85755, -85732?
23*g - 85801
What is the u'th term of -153972, -152459, -150948, -149439, -147932?
-u**2 + 1516*u - 155487
What is the k'th term of -1293, -4748, -10385, -18204, -28205, -40388, -54753?
-1091*k**2 - 182*k - 20
What is the t'th term of -995951, -1992044, -2988137?
-996093*t + 142
What is the g'th term of -1149353, -1149316, -1149219, -1149032, -1148725?
5*g**3 + 2*g - 1149360
What is the w'th term of -4955, -7058, -9153, -11240, -13319, -15390?
4*w**2 - 2115*w - 2844
What is the b'th term of 41851, 84390, 126931, 169474, 212019, 254566, 297115?
b**2 + 42536*b - 686
What is the p'th term of -27196, -27714, -28232?
-518*p - 26678
What is the i'th term of 75839, 75989, 76233, 76571, 77003, 77529?
47*i**2 + 9*i + 75783
What is the d'th term of 2713, 2354, 1875, 1276?
-60*d**2 - 179*d + 2952
What is the t'th term of -88508, -88552, -88626, -88730, -88864?
-15*t**2 + t - 88494
What is the s'th term of 219920, 439769, 659554, 879275, 1098932, 1318525, 1538054?
-32*s**2 + 219945*s + 7
What is the u'th term of -5096, -9042, -12988?
-3946*u - 1150
What is the f'th term of -376586, -1506486, -3389642, -6026048, -9415698, -13558586, -18454706, -24104052?
f**3 - 376634*f**2 - 5*f + 52
What is the i'th term of -1960222, -7840899, -17642028, -31363609?
-1960226*i**2 + i + 3
What is the a'th term of -18107, -33866, -49621, -65372, -81119, -96862?
2*a**2 - 15765*a - 2344
What is the t'th term of 14718, 14569, 14420?
-149*t + 14867
What is the c'th term of -1545431, -3090863, -4636295?
-1545432*c + 1
What is the r'th term of -1775906, -1775893, -1775872, -1775843?
4*r**2 + r - 1775911
What is the y'th term of 4780, 10257, 15734?
5477*y - 697
What is the n'th term of 3781519, 7563048, 11344591, 15126154, 18907743?
n**3 + n**2 + 3781519*n - 2
What is the c'th term of 319, 1716, 5599, 13240, 25911, 44884, 71431?
212*c**3 - 29*c**2 + 136
What is the l'th term of 406163, 812295, 1218427, 1624559?
406132*l + 31
What is the r'th term of 746673, 1493467, 2240261, 2987055, 3733849?
746794*r - 121
What is the t'th term of -30182716, -60365431, -90548148, -120730867, -150913588, -181096311?
-t**2 - 30182712*t - 3
What is the h'th term of 479468, 479473, 479482, 479495, 479512, 479533?
2*h**2 - h + 479467
What is the u'th term of -364819, -729651, -1094485, -1459321, -1824159, -2188999?
-u**2 - 364829*u + 11
What is the y'th term of -6234, -6306, -6404, -6540, -6726, -6974, -7296?
-2*y**3 - y**2 - 55*y - 6176
What is the t'th term of -1871, -466, 1877, 5164, 9401, 14594, 20749, 27872?
t**3 + 463*t**2 + 9*t - 2344
What is the q'th term of 373457, 373302, 372977, 372428, 371601, 370442?
-9*q**3 - 31*q**2 + q + 373496
What is the y'th term of -4744448, -4744449, -4744446, -4744439?
2*y**2 - 7*y - 4744443
What is the r'th term of 8431, 34785, 79059, 141253, 221367, 319401, 435355?
8960*r**2 - 526*r - 3
What is the b'th term of 7430, 15230, 23408, 31970, 40922, 50270?
b**3 + 183*b**2 + 7244*b + 2
What is the s'th term of 101580, 406344, 914288, 1625418, 2539740, 3657260, 4977984, 6501918?
s**3 + 101584*s**2 + 5*s - 10
What is the k'th term of -63985, -127898, -191811, -255724, -319637, -383550?
-63913*k - 72
What is the k'th term of -100372, -100505, -100720, -101011, -101372, -101797, -102280?
k**3 - 47*k**2 + k - 100327
What is the q'th term of -1794, -3288, -4776, -6258, -7734?
3*q**2 - 1503*q - 294
What is the j'th term of 13942, 57427, 130454, 233023, 365134, 526787, 717982?
14771*j**2 - 828*j - 1
What is the g'th term of -5826503, -11652992, -17479487, -23305988, -29132495, -34959008, -40785527?
-3*g**2 - 5826480*g - 20
What is the s'th term of 279700, 1118813, 2517340, 4475281, 6992636, 10069405, 13705588?
279707*s**2 - 8*s + 1
What is the o'th term of -17231, -17261, -17335, -17453, -17615, -17821, -18071?
-22*o**2 + 36*o - 17245
What is the j'th term of 20134, 20071, 20006, 19939, 19870?
-j**2 - 60*j + 20195
What is the c'th term of -478, -495, -484, -457, -426, -403, -400?
-2*c**3 + 26*c**2 - 81*c - 421
What is the b'th term of -339, -2043, -6471, -14985, -28947, -49719, -78663, -117141?
-227*b**3 - 115*b + 3
What is the k'th term of 15734127, 31468251, 47202373, 62936493, 78670611, 94404727?
-k**2 + 15734127*k + 1
What is the o'th term of 9609, 76411, 257707, 610743, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
to four decimal places?
0.0008
Round -3213500 to the nearest one hundred thousand.
-3200000
What is -28305 rounded to the nearest 1000?
-28000
What is -3371.3 rounded to the nearest 1000?
-3000
Round 0.00006863 to 5 decimal places.
0.00007
What is -0.0052732 rounded to 3 decimal places?
-0.005
What is -587.2 rounded to the nearest 100?
-600
Round 175520000 to the nearest one million.
176000000
What is -0.0037363 rounded to five dps?
-0.00374
Round -1614.3 to the nearest 10.
-1610
Round 63.576 to one decimal place.
63.6
Round -0.00615 to 4 dps.
-0.0062
Round 0.00175 to 4 decimal places.
0.0018
Round 10.09 to 0 dps.
10
Round -0.0000037184 to seven decimal places.
-0.0000037
Round -0.0000011759 to seven dps.
-0.0000012
What is -1570 rounded to the nearest 100?
-1600
Round -0.688 to one dp.
-0.7
Round 145.02 to the nearest ten.
150
What is -0.00011985 rounded to 6 dps?
-0.00012
What is -64.84 rounded to zero decimal places?
-65
What is 2950 rounded to the nearest 10000?
0
What is -17571600 rounded to the nearest 1000000?
-18000000
What is 12910 rounded to the nearest one thousand?
13000
What is -1.6951 rounded to 2 dps?
-1.7
Round -0.0000040807 to six decimal places.
-0.000004
Round -980630 to the nearest one thousand.
-981000
What is 0.0005036 rounded to four dps?
0.0005
Round -0.040578 to four dps.
-0.0406
Round -1150600 to the nearest 100000.
-1200000
Round -77.739 to one dp.
-77.7
Round -0.00057331 to 5 decimal places.
-0.00057
What is 30.38 rounded to 0 decimal places?
30
What is 0.0010629 rounded to 4 decimal places?
0.0011
Round -0.00007893 to seven dps.
-0.0000789
What is -692180 rounded to the nearest one hundred thousand?
-700000
Round -0.00040024 to four dps.
-0.0004
Round -15390 to the nearest 100.
-15400
Round 560 to the nearest ten.
560
Round -0.0051944 to 3 decimal places.
-0.005
What is 16.1271 rounded to the nearest ten?
20
What is -666770 rounded to the nearest ten thousand?
-670000
What is -0.001139 rounded to 4 decimal places?
-0.0011
Round -2427900 to the nearest 10000.
-2430000
What is 1588000 rounded to the nearest ten thousand?
1590000
What is -3.7065 rounded to 2 decimal places?
-3.71
Round 0.000065835 to 6 dps.
0.000066
What is 1229100 rounded to the nearest 10000?
1230000
Round 0.40094 to 1 dp.
0.4
What is 0.00031679 rounded to five decimal places?
0.00032
What is -2.7424 rounded to two dps?
-2.74
Round -7133000 to the nearest one million.
-7000000
Round 223300 to the nearest 10000.
220000
What is -0.5254 rounded to two dps?
-0.53
What is 66200 rounded to the nearest ten thousand?
70000
What is -0.0146108 rounded to three decimal places?
-0.015
What is -14535100 rounded to the nearest one million?
-15000000
Round -0.00001298 to six decimal places.
-0.000013
Round 41205000 to the nearest 100000.
41200000
What is -87903 rounded to the nearest 10000?
-90000
What is -0.034162 rounded to 3 dps?
-0.034
Round 208100000 to the nearest 1000000.
208000000
What is 0.3151 rounded to two decimal places?
0.32
Round 0.00007273 to 5 decimal places.
0.00007
What is 2224.9 rounded to the nearest ten?
2220
What is -2.977 rounded to one decimal place?
-3
What is -7810000 rounded to the nearest 1000000?
-8000000
What is -0.0000118324 rounded to 7 dps?
-0.0000118
What is -0.00091171 rounded to 5 dps?
-0.00091
What is -0.013789 rounded to 4 dps?
-0.0138
Round 118750 to the nearest ten thousand.
120000
What is 0.0000148 rounded to seven decimal places?
0.0000148
Round -0.000725 to four dps.
-0.0007
Round -622 to the nearest one hundred.
-600
Round -0.0000007411 to 7 decimal places.
-0.0000007
What is 682450000 rounded to the nearest one million?
682000000
Round 11500 to the nearest ten thousand.
10000
Round -12450000 to the nearest 1000000.
-12000000
Round -1619300 to the nearest 1000000.
-2000000
What is 128.63 rounded to zero decimal places?
129
What is -57.57 rounded to 0 dps?
-58
Round -5684000 to the nearest 1000000.
-6000000
Round -0.000006413 to seven dps.
-0.0000064
Round 15.5776 to one decimal place.
15.6
Round -2415000 to the nearest one million.
-2000000
What is -2017000 rounded to the nearest one hundred thousand?
-2000000
Round -7.76 to the nearest integer.
-8
What is 5115000 rounded to the nearest one million?
5000000
Round 11.54 to 0 decimal places.
12
What is 0.013493 rounded to three dps?
0.013
Round 0.537296 to one decimal place.
0.5
Round -1338 to the nearest 10.
-1340
What is -7465 rounded to the nearest 100?
-7500
What is 0.80406 rounded to 2 dps?
0.8
What is -0.000872 rounded to 5 dps?
-0.00087
Round -1400900 to the nearest ten thousand.
-1400000
Round -0.001955 to four decimal places.
-0.002
What is 0.767 rounded to 3 decimal places?
0.767
Round 1.12 to the nearest ten.
0
What is 114640 rounded to the nearest ten thousand?
110000
What is -4.291 rounded to one decimal place?
-4.3
Round -0.006113 to four decimal places.
-0.0061
What is 1.95015 rounded to two dps?
1.95
Round -0.0006305 to 5 decimal places.
-0.00063
Round 961.43 to the nearest one hundred.
1000
What is 0.00000057092 rounded to seven dps?
0.0000006
Round -0.151474 to three decimal places.
-0.151
Round -75.6 to the nearest integer.
-76
Round 0.00008086 to 6 dps.
0.000081
Round 79 to the nearest 10.
80
Round 0.24276 to 1 dp.
0.2
What is 16118000 rounded to the nearest one million?
16000000
Round -1197.95 to the nearest ten.
-1200
What is 3.9953 rounded to 2 dps?
4
Round 168439000 to the nearest one million.
168000000
What is 346000 rounded to the nearest one hundred thousand?
300000
What is -3880000 rounded to the nearest 1000000?
-4000000
What is 72.1 rounded to the nearest 10?
70
Round -0.132 to two dps.
-0.13
What is -10669000 rounded to the nearest 100000?
-10700000
Round -550.5 to the nearest 100.
-600
Round 3590 to the nearest 10000.
0
What is -113870000 rounded to the nearest one million?
-114000000
What is -0.01233 rounded to three dps?
-0.012
What is -4274.9 rounded to the nearest 100?
-4300
What is -0.00098454 rounded to 6 decimal places?
-0.000985
Round -0.1105 to three decimal places.
-0.111
What is 9.17 rounded to the nearest ten?
10
Round -302300 to the nearest 100000.
-300000
What is -170.8 rounded to the nearest one hundred?
-200
Round 0.00000340148 to 7 decimal places.
0.0000034
What is 421298 rounded to the nearest one hundred thousand?
400000
What is -1.8362 rounded to one dp?
-1.8
What is 17.434 rounded to 1 dp?
17.4
Round -0.0000044 to 4 decimal places.
0
What is -80.88 rounded to the nearest ten?
-80
Round 0.00000450044 to 7 decimal places.
0.0000045
Round 400260 to the nearest 10000.
400000
Round 0.2002 to 1 decimal place.
0.2
What is 3631200 rounded to the nearest 10000?
3630000
Round -0.0088484 to 3 dps.
-0.009
Round -25.955 to 1 dp.
-26
Round -0.000194 to 5 decimal places.
-0.00019
What is 70290000 rounded to the nearest 1000000?
70000000
What is -56790 rounded to the nearest ten thousand?
-60000
Round -0.007327 to 4 decimal places.
-0.0073
What is 40.69 rounded to the nearest ten?
40
What is -5872400 rounded to the nearest one million?
-6000000
Round 0.03223 to three decimal places.
0.032
Round 374.07 to the nearest 100.
400
Round -0.00001082 to 7 dps.
-0.0000108
Round 1.813 to 1 decimal place.
1.8
Round -410 to the nearest 100.
-400
What is -186200 rounded to the nearest 1000?
-186000
What is 81320 rounded to the nearest 1000?
81000
What is 96850 rounded to the nearest 10000?
100000
What is 2037460 rounded to the nearest one million?
2000000
What is -23355000 rounded to the nearest one hundred thousand?
-23400000
Round -10723 to the nearest one thousand.
-11000
Round -18.846 to 1 decimal place.
-18.8
Round 13020000 to the nearest 1000000.
13000000
Round -140.9 to the nearest 10.
-140
Round 7.4032 to two decimal places.
7.4
Round 33.477 to the nearest 10.
30
Round -1990.1 to the nearest one thousand.
-2000
Round -0.0427 to 3 dps.
-0.043
What is 0.00020391 rounded to 6 decimal places?
0.000204
Round -460600 to the nearest one hundred thousand.
-500000
What is 0.000002889 rounded to 7 dps?
0.0000029
Round -94000 to the nearest 10000.
-90000
Round 1766.6 to the nearest 100.
1800
What is -0.090613 rounded to three dps?
-0.091
What is 0.00068211 rounded to 4 dps?
0.0007
Round 83.66 to the nearest 10.
80
What is 0.51239 rounded to 1 dp
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*w + m = 0, -3*l + 17 = 4*w - 36. What are the prime factors of l?
3, 5
List the prime factors of 28/6*(-72)/(-7).
2, 3
Let k(l) = 2*l + 2. Let d be k(-4). Let i = -2 - d. Suppose 5*y - 4*r = 45, -2*r + 55 = 5*y - i*r. List the prime factors of y.
13
Let v(o) = -4*o - 8. Let n be v(-7). Let z = n - 5. List the prime factors of z.
3, 5
Suppose 0 = i - 5*i. Suppose l = -i*l + 5. List the prime factors of l.
5
Let p = 0 - -87. What are the prime factors of p?
3, 29
Let b be 238/6 - 2/(-6). Suppose -b = -2*s + 4. Suppose -3*n = 2*f - s, 4*n - 5*f + 12 - 3 = 0. What are the prime factors of n?
2
Let j = 188 - 167. What are the prime factors of j?
3, 7
Let h = 3 + -3. Suppose t = -h + 11. What are the prime factors of t?
11
Let a(b) = -4*b - 4. List the prime factors of a(-19).
2, 3
Suppose 0*i - 3*s = -4*i - 29, 0 = 4*i + 5*s + 69. Let g = 28 + i. What are the prime factors of g?
17
Let c(n) = n - 6. Let x be c(5). Let v be ((-2)/(-1) + x)/1. Suppose v = -g + 5. What are the prime factors of g?
2
List the prime factors of 1 - 3 - (-92 + 6).
2, 3, 7
Let k be ((-12)/(-10))/((-6)/(-20)). Suppose -5*g + 60 = -k*o, 58 = g + 2*g + 2*o. What are the prime factors of g?
2
Suppose 2*j + 99 = 5*a, a - 9 = -2*a. Suppose -49 = 3*y + 41. Let w = y - j. What are the prime factors of w?
2, 3
Let k = 130 + -36. Suppose 2*v = -2*u + 34, -2*u - k = -7*u + 4*v. What are the prime factors of u?
2, 3
Let j(o) = -o**2 - 9*o - 2. Let k = 7 + -13. Let u be j(k). Suppose 1 - u = -5*z. What are the prime factors of z?
3
Let m(f) = -32*f + 1. What are the prime factors of m(-1)?
3, 11
Let u(r) = -3*r + 6. What are the prime factors of u(-4)?
2, 3
Suppose 0 = -6*k + k + 15. Suppose -k*j = -4*h + 52, -h - 2*j - 3*j + 36 = 0. What are the prime factors of h?
2
Let j(x) = 37*x**2 - x. What are the prime factors of j(-1)?
2, 19
Suppose 8*r - 25 = -5*l + 3*r, -2*r + 28 = 5*l. Suppose -2*t - 4 = 0, i + l*t - 2*t = -17. List the prime factors of ((-300)/i)/5*3.
2, 5
Let b be 9*2*(-2)/3. Let z(l) = l**2 + 11*l - 36. Let c be z(-12). Let g = b - c. What are the prime factors of g?
2, 3
Suppose -74 = -3*z + z. List the prime factors of z.
37
Suppose -5*p + 20 = -2*a, -p = -3*a - 0*p - 4. Let l(o) = o**3 - o**2 - o - 1. Let d be l(a). Let i = d + 8. What are the prime factors of i?
7
Suppose 0*w - 4*w - 20 = 0. Let z = 7 + w. Suppose -40 = -z*l - 3*l. What are the prime factors of l?
2
Let n(l) = -l + 13. Let u be n(13). Suppose -4*z = 4*x - 56, -3*x + 50 = -0*x + 5*z. Suppose u*d - d = -5*j - 32, -x = 2*j. What are the prime factors of d?
7
Let z(t) = -t**2 - t. Let p(s) = -s**2. Let f(n) = -2*p(n) + z(n). Suppose -b - 4 = -1. What are the prime factors of f(b)?
2, 3
Suppose 11*j + 4*c = 7*j + 76, j = -4*c + 31. What are the prime factors of j?
3, 5
Let i(n) = -n**2 - 7*n + 5. What are the prime factors of i(-7)?
5
Let p(u) be the first derivative of u**4/4 + 8*u**3/3 + 3*u**2 + 7*u + 2. What are the prime factors of p(-7)?
2, 7
Let j = -8 - -12. Suppose 3 + j = f. What are the prime factors of f?
7
Let f(l) = -14*l**2 - l + 1. Let s be f(1). Let y = 2 - s. List the prime factors of y.
2
Let v(m) = 5*m**2 + 16*m + 9. Let d(i) = 2*i**2 + 5*i + 3. Let h(o) = -8*d(o) + 3*v(o). Let g be h(9). What are the prime factors of (2/g)/((-2)/66)?
11
Let n be (12/(-5))/((-16)/360). Suppose -n = -q - q. List the prime factors of q.
3
Suppose -3*a = a - 456. What are the prime factors of a?
2, 3, 19
Let b be -1 + ((-2)/2)/(-1). Suppose b*h = 2*h - 16. What are the prime factors of h?
2
Suppose 2*v - 65 = -2*v + y, -y + 79 = 5*v. What are the prime factors of v?
2
Let b be (-3)/(-6)*7*-2. Let u(k) = k**2 + 5*k + 2. What are the prime factors of u(b)?
2
Let r be 38/4 + (-2)/(-4). Suppose r = 5*v - 25. What are the prime factors of v?
7
Let i(h) = -h + 1. Let n(r) = 2*r + 4. Let q be n(5). Suppose 3*s + 4*d + q = 0, 4*s = s + d - 19. What are the prime factors of i(s)?
7
What are the prime factors of ((-50)/4)/((-2)/4)?
5
Suppose 0 = -2*i + 2. Suppose i + 3 = h. Suppose -5*u + 40 = h*l - u, -2*l + u + 5 = 0. What are the prime factors of l?
5
Let j(i) = -3*i + 0*i - 3 - 3. Suppose 4*v + 30 = -v. List the prime factors of j(v).
2, 3
Suppose 4*r = 5*t + 1233, 0*r + 300 = r - 4*t. List the prime factors of r.
2, 3, 13
Suppose 0 = 2*m - b + 2 + 3, -2*b + 4 = 2*m. Let x be ((-3)/6)/m*0. Let i = 2 + x. List the prime factors of i.
2
Let p = -8 - -25. Suppose 0 = -n - 8*o + 3*o - p, o + 16 = 4*n. List the prime factors of n.
3
Let g(x) = x**3 + 5*x**2 + 4*x + 2. Let c be g(-4). Let m = c + -1. Suppose -7 = -f + m. List the prime factors of f.
2
Let x(j) = j. Let t be x(5). Suppose -4*h - 11 = -4*a - 95, -31 = -3*h - t*a. List the prime factors of h.
17
Let b be (-1)/(2/((-18)/1)). Let s(x) = x**3 - 6*x**2 - 6*x - 6. Let a be s(7). Let n = a + b. What are the prime factors of n?
2, 5
Suppose 0*m - d = 3*m - 398, 5*m - 5*d = 630. What are the prime factors of m?
131
List the prime factors of 83/5 - (-6)/15.
17
List the prime factors of -6*(-28)/((-12)/(-3)).
2, 3, 7
Suppose 0 = 6*w - w + x - 301, w + 3*x - 49 = 0. List the prime factors of w.
61
Suppose p - 4*p - 3*o + 207 = 0, -206 = -3*p - 4*o. What are the prime factors of p?
2, 5, 7
Let x(h) = h + 7. Let z be x(-5). Suppose 10 = 5*n + 4*v, z*n - n + 2*v = -4. List the prime factors of n.
2, 3
Let q(u) = u**3 - u**2 - u + 2. Let d be ((-2)/(-4))/((-2)/(-12)). List the prime factors of q(d).
17
Suppose -2*i + 263 = 5*z, -3*i - 3*z + 547 = i. List the prime factors of i.
139
Let o(b) = b**2 + 2. Let s(l) = l**2 - 7*l + 3. Let d be s(6). List the prime factors of o(d).
11
Suppose j + 0*t + 5*t = 39, 2*j = 3*t + 52. What are the prime factors of j?
29
Suppose -5*b - 5*g + 99 = -16, -44 = -3*b + 2*g. Suppose -b = -i + 11. List the prime factors of i.
29
Suppose -4*n + 5*n - 9 = -5*f, -1 = -f - n. Let c be 1*1/((-2)/f). Let z(w) = -3*w**3 + 1. What are the prime factors of z(c)?
2
Let k(t) = t**2 + 5*t - 19. What are the prime factors of k(-9)?
17
Let b be 23/(-7) - 2/(-7). Let c be (-4)/(-6)*(0 - b). Suppose c*r - 3*r + 3 = 0. List the prime factors of r.
3
Suppose -6*x + 138 = -3*x. What are the prime factors of x?
2, 23
What are the prime factors of -1 - 3 - (-61 + 0)?
3, 19
Let i be (-400)/16*(-4)/(-2). Let n = i - -81. What are the prime factors of n?
31
Let n(s) = -s + 5. Let i be n(4). Let y = i + 1. List the prime factors of 8*y*6/8.
2, 3
Suppose 5*i = 2*i + 18. What are the prime factors of i?
2, 3
Let m be ((-108)/(-3))/(-2) - -3. Let n = m + 21. What are the prime factors of n?
2, 3
Suppose -9*m + 218 = -7*m. List the prime factors of m.
109
Let d be 1 + 3 + -6 + 3. Let x = 10 - d. What are the prime factors of x?
3
Let r(y) = -8*y**3 - 2*y**2 + 2*y + 2. What are the prime factors of r(-3)?
2, 97
Suppose 0 = -3*z - 9, -5*a = 5*z - 2*z - 626. List the prime factors of a.
127
Suppose 1 = -r + 15. Suppose -r + 50 = 4*v. List the prime factors of v.
3
Suppose 8 + 10 = -2*u. Let j be (-4)/(-6) + (-30)/u. Suppose -2 - 10 = -j*l. What are the prime factors of l?
3
Suppose -6*u + 42 = 12. Suppose -2*v + 5*v - 6 = 0. Suppose b - y = 7, 4*b - v*b = u*y + 26. What are the prime factors of b?
3
Let p be 244/7 - (-1)/7. Suppose 4*t + t = p. List the prime factors of t.
7
Let u be 4 + (0 + -1)/1. Suppose 4*x - 9 = -1, 2*x = -u*k + 40. List the prime factors of k.
2, 3
Let a = 10 - -16. List the prime factors of a.
2, 13
Let p(k) = 158*k + 4. List the prime factors of p(1).
2, 3
Let t(p) = 5*p**3 + 5*p**2 + 8*p - 7. Let c(v) = 9*v**3 + 10*v**2 + 15*v - 13. Let q(b) = 6*c(b) - 11*t(b). What are the prime factors of q(4)?
23
Suppose 8 = -y - 2. Let o = y + 15. Suppose -4*i - 16 = -o*i + 4*r, 5*i - 3*r = 63. List the prime factors of i.
2, 3
Suppose -2*z - 2*z + 132 = 0. List the prime factors of z.
3, 11
Let c(t) = -17*t**3 - t**2. Let p be c(-1). Suppose -6 = 2*s - p. What are the prime factors of s?
5
Let u = 9 - 20. Let z = 9 - u. What are the prime factors of z?
2, 5
Let d(p) = p**2 - 5*p. Let z be d(5). Let c(m) = m**3 - m**2 + m + 20. Let q be c(z). Suppose o = -o + q. What are the prime factors of o?
2, 5
Suppose -a - 2*w = -53, 0*w = -2*a + 3*w + 99. Let h = -71 + a. Let b = 38 + h. List the prime factors of b.
2, 3
Let f be 5*-1*(-2)/2. Let o = f - -1.
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Suppose 0 = -s + 1 + d. What are the prime factors of s?
3
Let s(l) = -4*l**3 + 16*l**2 + 27*l - 13. Let m(g) = -g**3 + 4*g**2 + 7*g - 3. Let x(k) = -9*m(k) + 2*s(k). List the prime factors of x(6).
19
Let k = 19 + -17. Suppose 56 = 3*c + 5*y - 91, 2*c + k*y - 98 = 0. List the prime factors of c.
7
Let a be (1*-2 - 0) + 78. What are the prime factors of a/12 + 2/3?
7
Let f(d) = -2*d**2 - 5*d**2 + 7*d**2 + d**2 + 4*d. What are the prime factors of f(-7)?
3, 7
Let h(o) = -o**2 - 5*o - 3. Let x be h(-2). Suppose 2*v - 4*v - x*s + 22 = 0, 0 = -v - 5*s + 4. What are the prime factors of v?
2, 7
Let q(f) = f**2 - f + 6. Let t be q(0). Let w be (t/(-10))/(2/(-10)). Suppose -2*y + 65 = 3*a, a = 2*y - w*y + 23. What are the prime factors of a?
19
Suppose w = -w + 18. Let a(d) = d - 7. List the prime factors of a(w).
2
Suppose 4*u = 15 + 25. Suppose 0 = -4*q - 3*m - 44, -2*q = -3*m - m. Let o = q + u. What are the prime factors of o?
2
Let x = 0 + -5. Let v = x - -9. Suppose 0 = -3*r + v*r - 12. What are the prime factors of r?
2, 3
What are the prime factors of (5*(-58)/(-3))/((-6)/(-9))?
5, 29
Let b(z) = -z**2 + 17*z - 13. Let h be b(16). Suppose 2*v - 89 = -h*k, 0 = -v + 2*v + k - 44. What are the prime factors of v?
43
Let c(p) = p**2 + 2*p - 4. What are the prime factors of c(3)?
11
Let w be 12/(-18) - 16/(-6). Suppose -w*v - m + 53 = 5, 2*v = 5*m + 24. What are the prime factors of v?
2, 11
Suppose 0 = 5*j - 246 - 144. List the prime factors of j.
2, 3, 13
Let s(r) = 5*r**2 - r + 1. Let g(v) = 15*v**2 - 2*v + 2. Let j(t) = 3*g(t) - 8*s(t). What are the prime factors of j(-2)?
2, 7
Let f(z) = z + 9. Let y be f(-5). Let q = -1 + y. What are the prime factors of (-6)/(-4)*4/q?
2
Suppose 0*k + 208 = 4*k. What are the prime factors of k?
2, 13
Let r(n) = 2*n**3 - 8 + 5 - n**3 + 4*n. List the prime factors of r(2).
13
Suppose 5*z = z + 4, -3*z - 3 = -3*j. Suppose d - j = 6. What are the prime factors of d?
2
Let r(i) = i. Let q be r(0). Let o = 23 + q. What are the prime factors of o?
23
Let l(h) = -h**2 - 10*h + 3. Let d(g) = g**2 - 8*g + 3. Let c be d(6). List the prime factors of l(c).
2, 3
Let z = -6 + 7. Let p be 5*z - (-6 - -6). Suppose 2*m - 2*d = 34, -4*m + 18 = p*d - 5. What are the prime factors of m?
2, 3
List the prime factors of ((-568)/2)/(19 - 21).
2, 71
Suppose -17 = 4*w + g, 3*w - 16 = -3*g - 40. Let n = 40 - w. List the prime factors of n.
43
Suppose 35 = -3*z + 5*t, -2*z + 6 = 3*t + t. Suppose 5*j + 3*a - 5*a = -13, -4*j - 3*a = 15. Let r = j - z. What are the prime factors of r?
2
Let x = 42 + 8. What are the prime factors of x/18 + (-6)/(-27)?
3
Let o(u) = -u - 6. Let v(s) = s + 7. Let f(j) = 5*o(j) + 4*v(j). Let d(z) = z + 7. Let h be d(-11). List the prime factors of f(h).
2
Suppose -6*o = -3*o - 69. Let x be -4 - (0 - 2) - o. List the prime factors of (-1)/5 - 355/x.
2, 7
Let n(d) = 2*d - 6. Let o be n(9). Suppose -3*u - 2*h = o - 5, -4 = 2*u + h. What are the prime factors of u + (-9)/(-3) + 10?
2, 3
Suppose 3*n + z + 51 = 0, 5*n + 4*z = 8*z - 102. What are the prime factors of (n/5)/((-1)/5)?
2, 3
Let a = -2 - 3. Let p(d) be the second derivative of d**5/20 + 7*d**4/12 + d**3 - d**2 + 2*d. List the prime factors of p(a).
2, 3
Suppose -z = 3*z - 20. Let b(x) = 3*x - 4. List the prime factors of b(z).
11
Suppose m = 5*m - 192. List the prime factors of m.
2, 3
Let n be 2/4*2*2. Let u be (-4)/1 + -15 + 19. Suppose u = -n*y - y + 15. List the prime factors of y.
5
Suppose 192 + 62 = 2*t. What are the prime factors of t?
127
Let l be (-2)/5 + (-1421)/35. Let x = l - -88. What are the prime factors of x?
47
Let s be 2/(-5) - 52/(-5). Let f be 2*(-3)/((-12)/s). Suppose f*j - 48 = j. List the prime factors of j.
2, 3
Let s = -14 + 53. Suppose k - 5*g - s = -k, 27 = 3*k + 3*g. Let d = k + -7. What are the prime factors of d?
5
Let k be 4*5 - (0 + 2). Let d(f) = -7*f - 1. Let w be d(-1). Suppose -3*n - k = -w*n. What are the prime factors of n?
2, 3
Let v be 60*(-1)/((-6)/9). Let l = v - 150. List the prime factors of (4/10)/((-6)/l).
2
Suppose -4*k = -13 - 23. Suppose k*c - 4*c = -4*h + 162, 0 = 2*c + 2*h - 64. Suppose -5*f - 4 = -c. What are the prime factors of f?
2, 3
Suppose o - 2*o + 2*z = -5, 0 = -2*o + 2*z + 8. Suppose w + 4*u = -17, -w - u + 13 = -o*u. What are the prime factors of w?
3
Let k = -51 - -111. Suppose 0 = -2*o + 6*o - k. List the prime factors of o.
3, 5
Let s(m) = -3*m - 2. Let y(f) = f + 1. Let p(t) = 6*s(t) + 21*y(t). List the prime factors of p(9).
2, 3
Let f = -109 - -62. Let i = -22 - f. Suppose -5*o - i = -85. What are the prime factors of o?
2, 3
Let s = 3 + -3. Let w be 7 + 5 + (s - 1). Suppose -u = -4*o + 2*u + w, 3*o - 2*u = 9. What are the prime factors of o?
5
Let l(o) = 1 - 10*o + 0 + 0. Let n(d) = -d**3 + 12*d**2 - 10*d - 12. Let r be n(11). List the prime factors of l(r).
11
Let j = 6 + -2. Let o = 0 + j. Suppose -g - 6*n = -3*n + o, 0 = 3*g + 5*n - 4. What are the prime factors of g?
2
Suppose 5*z + 43 = 2*n, -2*z - z - 33 = -2*n. List the prime factors of n.
3
Suppose -r + 54 + 10 = 0. What are the prime factors of r?
2
Suppose 3*i - 4*i = 0. Let q(p) = -p**2 + 24. Let a be q(i). Suppose -5*o + 8 + a = 2*r, 0 = 3*r - 5*o - 23. What are the prime factors of r?
11
Let r(h) = -22 + 22 - h. List the prime factors of r(-6).
2, 3
Let v(a) = -6*a**3 - 2*a**2 + 2. Let b be v(-2). Suppose -3*p + 3*c = -b, 4*p - 5*c - 44 = 7. List the prime factors of p.
19
Suppose -c + 5 = 4*k, 0*k - 25 = 5*k - 5*c. Let z = 3 - k. Suppose -5*j + 43 = -4*o, 2*j - z*o - 11 = 9. What are the prime factors of j?
7
Let h be (-50)/(-4) - (-3)/(-6). Let y = h - 3. Let n = 3 + y. What are the prime factors of n?
2, 3
Suppose 39*m - 80 = 37*m. What are the prime factors of m?
2, 5
Let m(o) = o + 11. Let b be m(-9). What are the prime factors of 3/(-6) + 49/b?
2, 3
What are the prime factors of ((-22)/(-4) + -2)*4?
2, 7
Let n(z) = -z**2 + 0 - 5*z + 2 + 3. List the prime factors of n(-5).
5
Suppose -a - 2*a = -3*l + 75, -3*a - 133 = -5*l. List the prime factors of l.
29
Let o(c) = c**3 - c**2 + c + 3. Let d be o(0). Let g = d + 2. Let h = g - -5. What are the prime factors of h?
2, 5
Let j(k) be the third derivative of k**6/120 + k**5/30 - k**4/12 + k**3/6 - 6*k**2. Let g(d) = d + 2. Let z be g(-1). List the prime factors of j(z).
2
Suppose -w = 4*w - 440. List the prime factors of w.
2, 11
Let i(j) = -j - 6. Let b be i(-6). What are the prime factors of 1 + 33/3 + b?
2, 3
Let k(d) = -6*d + 3. Let o(p) = 2*p - 1. Let y(b) = -4*k(b) - 11*o(b). Suppose 3*m - 22 = -2*i - 1, -5*m + 28 = i. What are the prime factors of y(i)?
5
Let f = 10 - -10. List the prime factors of f.
2, 5
Suppose -9*v = v - 2120. What are the prime factors of v?
2, 53
Let g be (-12 - -2)*(-4)/10. Suppose g*a = -0*a + 12. Suppose -a*p + 16 = 4. What are the prime factors of p?
2
Let u = -9 - 12. List the prime factors of 295/7 + 3/u.
2, 3, 7
Let f be 1*-3 + 2/2. List the prime factors of 13 - -2 - (f + 3).
2, 7
Suppose 2*g - 5*g = -330. Suppose -a - z - 35 = 0, -a - 2*a = -2*z + g. List the prime factors of (-4)/(-3)*a/(-3).
2
Suppose -2*z = -5*h - 111, 8*h - 3*h + 68 = z. What are the prime factors of z?
43
Suppose 2 = -c + 7. Let x(d) = -9*d**3 - 3*d**2 - 4*d - 3. Let o be x(-2). Suppose c*r - 37 - 18 = 2*a, -5*r = -4*a - o. List the prime factors of r.
3
Let f = -52 - -87. List the prime factors of f.
5, 7
Let f(r) = -r**3 + 6*r**2 - 4. Suppose 4*i = 11 + 9. Let x be f(i). Suppose 0 - x = -3*t. What are the prime factors of t?
7
What are the prime factors of (-4)/(-18) + (-642)/(-27)?
2, 3
List the prime factors of 18/45 - (-226)/10.
23
Suppose t - 62 = -0*t - 5*p, 5*t - 3*p = 170. List the prime factors of t.
37
Suppose -7 = 2*p - 11. Suppose p*a - 125 = -3*a. Suppose -5*z + 29 - 6 = -4*t, t = 4*z - a. List the prime factors of z.
7
Let b(p) = p**3 + 6*p**2 - 2*p - 8. Let m be b(-6). Suppose -m*f + 0*f + 36 = 0. List the prime factors of f/6*20/6.
5
Suppose 2*l = -2*l - 4*b, -3*l - 4 = 4*b. Suppose -3 + 2 = w, 3*s = l*w + 13. Suppose 3*d + c = 18, s*c = -3*d + 4*d - 16. List the prime factors of d.
7
Let x(m) = 21*m - 8. What are the prime factors of x(11)?
223
Let j = 31 + -7. List the prime factors of j.
2, 3
Let z(q) = q**3 - 3*q**2 + 2*q**2 - 4*q**3
|
{
"pile_set_name": "DM Mathematics"
}
|
3)/(v/v**0)**(-35) assuming v is positive.
v**(451/13)
Simplify (j/(j*j**(1/3)*j))**(-49)/(j**(-4/9)/((j*((j*j**(1/10))/j)/j)/j*j)) assuming j is positive.
j**(5929/90)
Simplify (m**(5/3)*m*m)/m**(2/55) assuming m is positive.
m**(599/165)
Simplify (m*m/(m*m/m**(2/17)))/m**(2/25)*m**(-3)/(m/(m**(-2/41)*m)*m*m) assuming m is positive.
m**(-87319/17425)
Simplify ((t**(-2/3)*t)/t)**25*(((t/t**(1/3))/t)/t)**(-1/10) assuming t is positive.
t**(-248/15)
Simplify m**(3/2)/(m**(-7/3)*m*m) assuming m is positive.
m**(11/6)
Simplify (b**8)**(-1/8) assuming b is positive.
1/b
Simplify (i*i*i/i**(2/5)*i*i)/i*i*i/((i*i*i**(1/2))/i)*i**(-6)/i**(-3) assuming i is positive.
i**(11/10)
Simplify (n**(-1/3)/n)**(-6)*n**(-4/11)/(n/n**(-2)) assuming n is positive.
n**(51/11)
Simplify (((g/g**(-6))/g)**(3/8))**(-30) assuming g is positive.
g**(-135/2)
Simplify (t**(3/4))**(-1/9) assuming t is positive.
t**(-1/12)
Simplify ((q/(q/(q*q**(5/2)/q*q*q)*q*q))/(q**5*q))/((q/q**(-2/19)*q)/((q/q**(-1/12))/q*q)) assuming q is positive.
q**(-1031/228)
Simplify ((q/(q**1/q))/q*q**(-3)*q)**(-33) assuming q is positive.
q**66
Simplify p**(-3/4)*p**(-4/19) assuming p is positive.
p**(-73/76)
Simplify (m/(m/(m**(6/5)*m)))**18 assuming m is positive.
m**(198/5)
Simplify (r/r**0*r)**(-49)/(r**(-1/5))**(7/5) assuming r is positive.
r**(-2443/25)
Simplify (q**2)**(-11/7)/((q**(-4)/q)/(((q*q*q*q*q*q**8)/q)/q)) assuming q is positive.
q**(90/7)
Simplify (b/b**(-25)*b)/((b/(b*b*b/b**(-10/3)))/b) assuming b is positive.
b**(100/3)
Simplify h**8*h**(-2/5)*h**5*h**(-7) assuming h is positive.
h**(28/5)
Simplify f**(-10)*f*f**12*f assuming f is positive.
f**4
Simplify (p**(-1/3)*p**(-2))**(4/11) assuming p is positive.
p**(-28/33)
Simplify ((q**1/q)/(q*q**4*q))/(q**(1/2)*q/(q/((q*q**(1/3))/q)*q)*q) assuming q is positive.
q**(-41/6)
Simplify (a/a**(-14))/(a*a*a**(-6/11)) assuming a is positive.
a**(149/11)
Simplify ((r*(r*(r/r**(-41))/r)/r)/r)/r**(6/7) assuming r is positive.
r**(281/7)
Simplify ((f*f*f**0*f)**(-1/4))**22 assuming f is positive.
f**(-33/2)
Simplify ((m**0*m)/(m*m**(-3)*m))/(m*m**7*m/((m**(-2)*m)/m)*m*m) assuming m is positive.
m**(-11)
Simplify n**(-2/5)/(n/((n/(n/(n/(n*n**1))))/n*n))*n**1/((n*n**(-3)*n)/n) assuming n is positive.
n**(3/5)
Simplify (q/(q/q**(-2/5)*q)*q*q)**(-40) assuming q is positive.
q**(-24)
Simplify (d**(-10)/d)**36 assuming d is positive.
d**(-396)
Simplify (o**3)**31 assuming o is positive.
o**93
Simplify v**(2/5)/v*v/v**(-1/14) assuming v is positive.
v**(33/70)
Simplify (v**(-15)/v)/v*v**(9/4) assuming v is positive.
v**(-59/4)
Simplify r**(-37)/r**(-17) assuming r is positive.
r**(-20)
Simplify ((v*v/(v*v*v*v**(-5)*v*v))/v**6)**(17/5) assuming v is positive.
v**(-68/5)
Simplify (j**(1/2))**(-6/25)*j*j**(6/5)*j/j**(-3/2)*j*j assuming j is positive.
j**(329/50)
Simplify b**1/(b*b**(1/5))*(b**(-8)/b)/b**(-7/2) assuming b is positive.
b**(-57/10)
Simplify (((m**2/m)/m)/m**(-5))/(m**0*m)**(-5/12) assuming m is positive.
m**(65/12)
Simplify w/(w/((w/(w*w**(1/4)))/w))*w**(1/3)*(w**(-5)*w)/w**(-4) assuming w is positive.
w**(-11/12)
Simplify ((u**(2/5))**(-6/37))**(1/12) assuming u is positive.
u**(-1/185)
Simplify n/(n/(n**(2/7)*n)*n)*(n*n/((n**3/n)/n))/n assuming n is positive.
n**(2/7)
Simplify (a**(-1/3)/a)**(4/33)*a*a**5/a*a**0 assuming a is positive.
a**(479/99)
Simplify (s*s**2*s*s)**(17/6)/(s**(-3)*s**(-3)/s) assuming s is positive.
s**(127/6)
Simplify z**(-2/11)*z**(-7/5) assuming z is positive.
z**(-87/55)
Simplify s**20*s**(2/21) assuming s is positive.
s**(422/21)
Simplify (i**17/i*i*i**14)**(-13) assuming i is positive.
i**(-403)
Simplify (n**1)**(-2/33)/((n/(n/(n/((n*n**(2/7)/n)/n)*n)))/n**(-6)) assuming n is positive.
n**(-2027/231)
Simplify i/(i*i**11/i)*i**8 assuming i is positive.
i**(-2)
Simplify (i**(2/13)*i**(-5)*i)**(-2/29) assuming i is positive.
i**(100/377)
Simplify ((f*f/(f/(f/(f*f*f/(f**(-1)/f)))))/f)**(1/8)/(f*f**(2/7)*f*f/f**0) assuming f is positive.
f**(-53/14)
Simplify (f**(-2/19)/f**1)**(-2/85) assuming f is positive.
f**(42/1615)
Simplify (q/q**(-24))**(-7/13) assuming q is positive.
q**(-175/13)
Simplify ((i*i/i**(-1/2))/i)**23 assuming i is positive.
i**(69/2)
Simplify ((a**(-2))**(-15/8))**(3/20) assuming a is positive.
a**(9/16)
Simplify ((s/((((s**(1/4)/s)/s*s)/s)/s))/s)**(4/5)/(s**(2/27)/(s/s**(-2/9))) assuming s is positive.
s**(452/135)
Simplify r**(1/28)/(r**(8/13)*r) assuming r is positive.
r**(-575/364)
Simplify ((s/s**(-5/4))/s*s*s/(s/s**(-1)))/(s**(1/4))**(-20) assuming s is positive.
s**(25/4)
Simplify (((g*g/(g/(g*g/(g*(g**(1/4)/g)/g)*g)))/g)/g**(-2/11))**(-1/27) assuming g is positive.
g**(-173/1188)
Simplify h**(-4)/(h/(h*h**(-4)/h)*h*h)*(h*h**(-1/5)*h)/((h**(-1/3)*h)/h) assuming h is positive.
h**(-133/15)
Simplify ((a**(-5/2)/a)/(a*a**(-4/7)/a*a))**(-20/9) assuming a is positive.
a**(550/63)
Simplify s**(-3)*s**(-15) assuming s is positive.
s**(-18)
Simplify (h/h**(1/6))**(1/17) assuming h is positive.
h**(5/102)
Simplify (((f/f**6)/f)/f**15)**(1/23) assuming f is positive.
f**(-21/23)
Simplify (k*k*k**(2/5))/(k**(-9)/k*k)*k**(1/3)*k**(5/6) assuming k is positive.
k**(377/30)
Simplify d**(-3)/d*d**6*(d**(-1)/d)**(6/7) assuming d is positive.
d**(2/7)
Simplify (o**(-2))**(2/161)*o**(-1)*o**(2/23) assuming o is positive.
o**(-151/161)
Simplify (n/(n/(n/(n*n**2))))**(1/28)/(n*n**2)**(-41) assuming n is positive.
n**(1721/14)
Simplify (b**(1/10)*(b*b*b*b**(-15)/b*b)/b*b*b*b)**(-21) assuming b is positive.
b**(2079/10)
Simplify (s**7*s*s)/(s**(-2/31)*s)*(s*s/(s**(-2)/s)*s)/(s/(s**(1/3)*s)) assuming s is positive.
s**(1339/93)
Simplify (w**(-20))**(-23/2) assuming w is positive.
w**230
Simplify (q/(q/q**(5/3)))**0 assuming q is positive.
1
Simplify (c**(2/3)/c*c)/(c**(-2/9)/c)*c**(2/5)*c*c/c**(-1/9) assuming c is positive.
c**(22/5)
Simplify (j/j**6)**(-20/9) assuming j is positive.
j**(100/9)
Simplify ((c**1)**(41/5))**(-36) assuming c is positive.
c**(-1476/5)
Simplify v/v**2*v/v**0 assuming v is positive.
1
Simplify d*(d*d/((d*d**(-17)*d*d*d)/d))/d*d**10/d assuming d is positive.
d**25
Simplify (c*(c/c**3)/c)/c*c*(c*c**(2/11))/c*c assuming c is positive.
c**(-9/11)
Simplify (a/(a/a**(-2/5)))**13*(a**(-2/5))**25 assuming a is positive.
a**(-76/5)
Simplify (z**(2/5)/z**7)/(z**(1/3)/z)**(-21/8) assuming z is positive.
z**(-167/20)
Simplify (x*((((x/(x*x**5))/x*x*x*x)/x)/x*x)/x*x*x)**47 assuming x is positive.
x**(-94)
Simplify (k/((k/k**(-17))/k*k*k))**(-10) assuming k is positive.
k**180
Simplify r*r**2*(r/(((r/(r/(r/r**3*r)))/r*r)/r))/r*r*r**(-3/5)*r**6 assuming r is positive.
r**(57/5)
Simplify (u/(u*u/(u**0/u))*u)/(u*u/((u*(u/((u*u*u/u**(-9))/u))/u)/u))*(u/(u*u**(-4)/u))/(u/u**(1/6)) assuming u is positive.
u**(-59/6)
Simplify d**(2/11)/(d/(d*d**(-5)))*d**(-4)*d*d/d**(1/5) assuming d is positive.
d**(-386/55)
Simplify a*(a*a**(-26)/a)/a*(a**(-23)/a)/a*a assuming a is positive.
a**(-50)
Simplify (h/(h*(h*h/h**(-5))/h)*h)**(-8) assuming h is positive.
h**40
Simplify (b**1/b)**(-26/3)/(b/b**1*b*b/b**(-1/5)) assuming b is positive.
b**(-11/5)
Simplify ((f/(f/(f/f**22)))/f)/f*f*f*(f/(f*f*f*f/f**(-5/2)*f*f*f*f))/f*f assuming f is positive.
f**(-61/2)
Simplify (q**(3/5)*q*q/(q/q**1))/(q**(-2/7))**31 assuming q is positive.
q**(401/35)
Simplify (o/(o*o**(-3)*o))/o**(-9)*o**(-1/7)*o**3 assuming o is positive.
o**(97/7)
Simplify (b/b**(-7/6)*b**14)**24 assuming b is positive.
b**388
Simplify ((s**6/s)/(s/(s*s**(1/18))))**(4/35) assuming s is positive.
s**(26/45)
Simplify (w*w**(-2/3)*w*w*w)**42/(w/w**(-7)*(w/w**(-2/7))/w) assuming w is positive.
w**(922/7)
Simplify ((l**(-1))**(-3/14))**49 assuming l is positive.
l**(21/2)
Simplify ((k*k/(k*k*k/k**(-1))*k)**(-17))**(-16/5) assuming k is positive.
k**(-272/5)
Simplify (n**(-2/9))**30 assuming n is positive.
n**(-20/3)
Simplify ((y/(y*y**(1/2)))/y)**(-40) assuming y is positive.
y**60
Simplify v**16*v*v**18/v*v assuming v is positive.
v**35
Simplify ((g/g**(-1/25))/(g/(g*g*g**12)))**(-2/19) assuming g is positive.
g**(-702/475)
Simplify ((d/(d*d**(2/7)/d)*d)/d*d)**(-41) assuming d is positive.
d**(-492/7)
Simplify ((t*t*t**(-4)*t*t)/t*t)/t**7 assuming t is positive.
t**(-7)
Simplify (g**(-1/2)*g*g)**(18/11)*g/(g*g/(g**(-9/5)*g))*g*g**(-1/3)/g assuming g is positiv
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 43 = -3*u. Let g be (-1)/u - 11/(-6). Suppose -3*x + 30 = -g*x. What is the remainder when x is divided by 8?
6
Let b = 3 - 0. Suppose 25 = 3*w - 4*u, 2*u - 20 = 7*u. Suppose d - o - 6 = 0, w*d = -4*o + 20 + 5. What is the remainder when d is divided by b?
1
Suppose 9*b - 66 = 3*b. Suppose 5*q = -2*r + 89, -2*r - 3*q + 87 = -0*q. What is the remainder when r is divided by b?
9
Suppose 4*y - 3*y = 2. Suppose -28 - 96 = -y*q. Let n = 94 - q. Calculate the remainder when n is divided by 11.
10
Let u = -12 + 99. Suppose 2*z = t - 37, 4*t - t = -2*z + u. What is the remainder when t is divided by 16?
15
Suppose 30 = 5*d + 3*z, 5*z - 34 = -3*d - 0*z. Suppose -4*i + 23 = 3*n, 2*i + 0*n + d*n = 7. What is the remainder when 14 is divided by i?
6
Let x = -8 + 16. Suppose 2*r = 4*r - x. Let w(i) = i**3 + 4*i**2 - 16*i - 13. What is the remainder when w(-6) is divided by r?
3
Let t(x) = 12*x - 14. What is the remainder when t(4) is divided by 12?
10
Suppose 6*b - 45 = 3*b. What is the remainder when 53 is divided by b?
8
Let v(u) be the first derivative of -u**3 + u**2/2 - 4*u - 2. Let r be v(-3). Let a = r + 66. Calculate the remainder when a is divided by 17.
15
Suppose -3*o + 0*o - 5*n + 22 = 0, o = n - 6. What is the remainder when (o - 28/(-20))*30 is divided by 7?
5
Let r = -19 - -32. Let o(x) = x**2 - 2*x + 2. What is the remainder when o(-6) is divided by r?
11
Suppose -84 - 51 = -3*i. Suppose 0 = -4*j + j + i. What is the remainder when j is divided by 8?
7
Calculate the remainder when 376/28*(-3 + 10) is divided by 25.
19
Let x(o) = -o**3 + o**2 + o + 18. Calculate the remainder when 53 is divided by x(0).
17
Suppose 2*p = 4*p - 6. Calculate the remainder when p is divided by -2*((-3)/2 + 1).
0
Let w = 4 + 0. Suppose 4*v - w*p = 72, -3*p - 56 = -5*v + 40. What is the remainder when 62 is divided by v?
20
Suppose -7*z + 6*z + 12 = 0. Calculate the remainder when 45 is divided by z.
9
What is the remainder when 9/3 - (0/(-2) + -30) is divided by 17?
16
Let s(r) = -r**3 + 4. Let a = 12 - 15. Calculate the remainder when s(a) is divided by 16.
15
Let m = 3 + -2. Let z = 5 + m. What is the remainder when z is divided by 4?
2
Suppose -4*u - 2*l - 946 = -3*l, 4*u - 5*l + 954 = 0. Let f be 2/(-6) + u/(-6). Let g = f + -20. What is the remainder when 56 is divided by g?
18
Let p be 4/18 - 608/(-18). Let c = p - 19. Calculate the remainder when 43 is divided by c.
13
Let m = -6 + 9. Suppose q = 4*q - m*l - 15, 0 = 5*l - 20. What is the remainder when 17 is divided by q?
8
Suppose -4*c + 155 + 25 = 0. What is the remainder when c is divided by 16?
13
Suppose 5*g + 6*f = 2*f + 3, 2*f = -6. What is the remainder when g is divided by 2?
1
Suppose 3*m + 4*h - 8 = 2*m, -m + 14 = -2*h. Let r be 4 + (-2 - 3/(-3)). Suppose 3*w - 108 = -r. What is the remainder when w is divided by m?
11
Suppose -4*w + 14 + 101 = -5*j, 4*w = 4*j + 120. Suppose -10 - 44 = 4*a + 3*h, -3*a - 35 = 5*h. Let s = w + a. What is the remainder when 38 is divided by s?
18
Let l(o) = o**3 - 11*o**2 + o - 8. Let c be l(11). Suppose -2*b + u = -0*b - 7, 18 = c*b + u. What is the remainder when 13 is divided by b?
3
Let c(j) = 7*j**3 + 4*j**2 - 5*j + 4. Let a be c(3). Suppose -a + 40 = -3*t. Suppose 31 + 9 = 2*o. What is the remainder when t is divided by o?
18
Suppose 0 = 73*w - 69*w - 304. Calculate the remainder when w is divided by 27.
22
Let z(j) = -j + 6. Calculate the remainder when (19 + (-12)/(-4))*5/10 is divided by z(0).
5
Suppose 2*l - 5*i - 99 = 162, -669 = -5*l - 4*i. Suppose -5*w = -87 - l. What is the remainder when w is divided by 152/10 - (-1)/(-5)?
14
What is the remainder when (44 + -1)*(-7 - -8) is divided by 23?
20
Let d(s) = -s**2 - 11*s - 13. Calculate the remainder when -4 + 4/((-4)/(-23)) is divided by d(-9).
4
Let t(b) = 3*b - 1. Let k be -1*(2*-1 + 1). Let c be t(k). Suppose m - 45 = -3*u, -5*u - 145 = -c*m - 3*m. Calculate the remainder when m is divided by 9.
6
Suppose -4*o + 3*o = -14. What is the remainder when 40/(-3)*3/(-1) is divided by o?
12
Let i(w) = -w**2 - 8*w + 3. Let x be i(-6). Let t(d) = d**3 + 7*d**2 + 6*d + 8. Let u be t(-6). Let r = x + u. Calculate the remainder when r is divided by 8.
7
Suppose 12 - 75 = -3*y. What is the remainder when 39 is divided by y?
18
Let v = -22 - -64. Suppose -4*s = 2*d - v, -3*d + s - 5*s = -71. What is the remainder when 114 is divided by d?
27
Suppose v + 3*h - 4 = 0, -15 = -5*v - 4*h + 5. Calculate the remainder when (1 + -2)/(2/(-10) + 0) is divided by v.
1
What is the remainder when 58 is divided by ((-5)/(-40)*-4)/(1/(-30))?
13
What is the remainder when -3 + (-3 - -18*6) is divided by 21?
18
Let n be (1/(-1))/(0 - 1). Calculate the remainder when ((5 - -1) + -3)*n is divided by 3.
0
Let w = -14 + 26. Let g(z) = z**3 - 8*z**2 + 5*z - 12. Let y be g(8). Suppose 5*a = i + 96, -2*i - y = -2*a + w. Calculate the remainder when a is divided by 7.
5
Suppose -32 + 72 = 4*g. What is the remainder when 58 is divided by g?
8
Suppose 4*n - 3*n = u - 77, 0 = -5*n + 15. Calculate the remainder when u is divided by 14.
10
Suppose -5 = 5*a - 15. Suppose -150 = -a*c + 124. Suppose -4*y + 5*u + 7 = -191, 3*y = -2*u + c. Calculate the remainder when y is divided by 16.
15
Let b = -9 + 25. Calculate the remainder when b is divided by 9.
7
Let m = -2 + -3. Calculate the remainder when (4*-1)/((-2)/13) is divided by 27*(m/3)/(-5).
8
Let s = 34 + -21. Calculate the remainder when 49 is divided by s.
10
Let c(y) = -y**3 + 1. Let g be c(-1). Let v = g + 0. Suppose 1 = 2*b - b. Calculate the remainder when v is divided by b.
0
Let x(s) = -s**3 + 4*s**2 + 1. Let r be x(4). Let b(f) be the third derivative of f**4/4 - 3*f**2. What is the remainder when 16 is divided by b(r)?
4
Let q(x) = 5*x - 6. Suppose 12 + 4 = 4*d. Let l = 15 + -7. What is the remainder when q(d) is divided by l?
6
Let j = 4 - 3. Suppose 44 = 5*k - j. Let v(y) = y - 2. Calculate the remainder when 19 is divided by v(k).
5
Let v be (-2)/2 - 166/(-2). Suppose -12 + v = 5*s. What is the remainder when s is divided by 4?
2
Let h be (-1)/((-1)/34*2). Let y = 2 + h. Calculate the remainder when y is divided by 5.
4
Suppose -2*h + 14 = 3*s - 14, -5*s + 54 = -4*h. What is the remainder when 28 is divided by s?
8
Let x be (-6)/(-9) + (-10)/(-3). Suppose 3*q = -3*l + l + 53, -68 = -x*q - 2*l. Calculate the remainder when q is divided by 4.
3
Suppose 0 = 5*y - 25, -3*w + 23 + 146 = -4*y. Calculate the remainder when w is divided by 16.
15
Suppose s = 3*s - 60. Suppose -2*a = -s - 20. What is the remainder when a is divided by (-3)/(3 + 0) - -14?
12
Suppose -135 = -3*h + 2*m, 27 - 162 = -3*h + m. Calculate the remainder when 131 is divided by h.
41
What is the remainder when -1 + 6 - (-9 - 6) is divided by 3?
2
Suppose 6*j - 68 = 2*j - 4*u, 2*u - 68 = -4*j. Calculate the remainder when 45 is divided by j.
11
Suppose -p + 15 = s, 69 = 3*p + s + 20. Suppose 7*t - 590 + 135 = 0. Calculate the remainder when t is divided by p.
14
Suppose 0 = -3*t + 4*l + 9, -5*l - 1 + 4 = t. What is the remainder when t is divided by 1?
0
Let z be (-4)/(8/(-66)) + -3. Suppose z = 5*o - 0*o. What is the remainder when o is divided by 3?
0
Let r be -1 - 1 - 16/(-4). Suppose -4*v + w = -r*w - 20, 6 = -v - 2*w. Suppose v*s = 3*y + 2*y + 93, 2*y + 6 = 0. What is the remainder when s is divided by 20?
19
Suppose 0*g - 3*l - 3 = g, -3*g + 4*l + 17 = 0. Let x be (3 - 5)*(-106)/4. Suppose 70 + x = g*h. Calculate the remainder when h is divided by 14.
13
Let v(c) = -c - 3. Let t(j) = 3*j + 5. Let k(s) = 2*t(s) + 5*v(s). Calculate the remainder when 13 is divided by k(10).
3
Let a = 9 + -5. Suppose -6*h + 12 = -a*h. Calculate the remainder when 10 is divided by (-12)/h + 6*1.
2
Let b(k) be the third derivative of -13*k**4/12 + 5*k**2. Calculate the remainder when b(-2) is divided by 18.
16
Let x be (5*-3)/((-3)/2). Suppose x = 5*i - 10. Suppose l = -2 + i. What is the remainder when 4 is divided by l?
0
Let g = 2 - 1. Calculate the remainder when (-18 + -5)*(g + -2) is divided by 8.
7
Let p be ((-6)/(-5))/((-39)/130). Calculate the remainder when 1/(p/116*-1) is divided by 10.
9
Suppose 2*z - 26 + 2 = -4*m, -5*m = 2*z - 28. Calculate the remainder when 15 is divided by m.
3
Suppose -3*v + 4*v = -65. Let w
|
{
"pile_set_name": "DM Mathematics"
}
|
AM?
11:12 AM
How many minutes are there between 9:38 PM and 6:24 AM?
526
How many minutes are there between 6:31 PM and 2:05 AM?
454
What is 702 minutes after 7:58 PM?
7:40 AM
How many minutes are there between 3:27 PM and 8:59 PM?
332
What is 687 minutes after 10:55 AM?
10:22 PM
How many minutes are there between 11:29 PM and 6:27 AM?
418
What is 166 minutes after 8:26 AM?
11:12 AM
How many minutes are there between 3:38 AM and 8:58 AM?
320
What is 661 minutes after 8:50 AM?
7:51 PM
How many minutes are there between 4:15 PM and 10:27 PM?
372
What is 532 minutes after 6:37 PM?
3:29 AM
What is 252 minutes after 3:25 AM?
7:37 AM
What is 535 minutes after 1:48 AM?
10:43 AM
How many minutes are there between 1:57 AM and 9:01 AM?
424
What is 552 minutes after 12:45 AM?
9:57 AM
What is 197 minutes after 10:36 PM?
1:53 AM
How many minutes are there between 12:58 AM and 6:39 AM?
341
What is 707 minutes after 5:33 AM?
5:20 PM
What is 2 minutes before 1:10 AM?
1:08 AM
How many minutes are there between 3:14 AM and 5:31 AM?
137
What is 644 minutes after 1:03 PM?
11:47 PM
What is 91 minutes after 1:04 AM?
2:35 AM
How many minutes are there between 4:29 PM and 2:26 AM?
597
How many minutes are there between 6:20 PM and 4:11 AM?
591
What is 394 minutes after 1:40 PM?
8:14 PM
How many minutes are there between 5:56 AM and 5:18 PM?
682
How many minutes are there between 9:14 PM and 6:58 AM?
584
How many minutes are there between 11:09 PM and 3:05 AM?
236
What is 67 minutes after 1:02 AM?
2:09 AM
What is 54 minutes before 9:25 AM?
8:31 AM
How many minutes are there between 12:44 AM and 10:16 AM?
572
How many minutes are there between 7:27 AM and 8:27 AM?
60
How many minutes are there between 1:10 PM and 8:48 PM?
458
What is 315 minutes after 11:08 AM?
4:23 PM
What is 76 minutes before 3:21 PM?
2:05 PM
How many minutes are there between 2:04 PM and 12:24 AM?
620
How many minutes are there between 8:41 PM and 4:41 AM?
480
What is 318 minutes after 2:49 PM?
8:07 PM
What is 617 minutes after 5:50 PM?
4:07 AM
What is 636 minutes before 11:11 AM?
12:35 AM
How many minutes are there between 10:00 AM and 2:06 PM?
246
What is 139 minutes after 11:27 AM?
1:46 PM
How many minutes are there between 3:43 AM and 6:23 AM?
160
How many minutes are there between 7:09 AM and 12:13 PM?
304
How many minutes are there between 12:09 PM and 4:13 PM?
244
How many minutes are there between 1:25 PM and 6:56 PM?
331
How many minutes are there between 7:13 AM and 5:08 PM?
595
How many minutes are there between 1:28 PM and 9:05 PM?
457
What is 274 minutes after 2:52 AM?
7:26 AM
How many minutes are there between 4:00 AM and 8:55 AM?
295
What is 44 minutes after 8:27 PM?
9:11 PM
How many minutes are there between 12:09 PM and 3:31 PM?
202
What is 692 minutes before 5:16 AM?
5:44 PM
How many minutes are there between 4:34 PM and 7:57 PM?
203
How many minutes are there between 6:02 PM and 3:01 AM?
539
How many minutes are there between 8:15 AM and 3:25 PM?
430
How many minutes are there between 12:55 PM and 11:57 PM?
662
What is 354 minutes before 9:06 PM?
3:12 PM
How many minutes are there between 9:13 PM and 10:41 PM?
88
What is 25 minutes before 1:52 AM?
1:27 AM
What is 488 minutes before 7:00 AM?
10:52 PM
What is 388 minutes after 5:24 PM?
11:52 PM
How many minutes are there between 4:53 PM and 6:59 PM?
126
What is 344 minutes after 7:29 AM?
1:13 PM
What is 399 minutes before 12:15 AM?
5:36 PM
How many minutes are there between 1:58 PM and 10:03 PM?
485
What is 175 minutes after 6:11 PM?
9:06 PM
What is 468 minutes after 6:22 AM?
2:10 PM
How many minutes are there between 12:05 PM and 12:53 PM?
48
What is 430 minutes before 4:21 AM?
9:11 PM
How many minutes are there between 2:17 PM and 5:04 PM?
167
What is 643 minutes before 1:57 AM?
3:14 PM
How many minutes are there between 2:08 AM and 8:24 AM?
376
What is 432 minutes after 1:34 AM?
8:46 AM
How many minutes are there between 6:08 AM and 8:58 AM?
170
How many minutes are there between 8:28 AM and 1:53 PM?
325
What is 589 minutes after 1:27 AM?
11:16 AM
What is 111 minutes before 9:01 AM?
7:10 AM
What is 155 minutes after 8:58 PM?
11:33 PM
How many minutes are there between 5:52 AM and 12:32 PM?
400
What is 612 minutes after 2:17 PM?
12:29 AM
What is 708 minutes before 3:04 PM?
3:16 AM
How many minutes are there between 11:32 AM and 7:53 PM?
501
What is 309 minutes after 2:21 AM?
7:30 AM
How many minutes are there between 9:32 AM and 6:35 PM?
543
How many minutes are there between 2:21 AM and 6:32 AM?
251
How many minutes are there between 1:20 AM and 7:20 AM?
360
What is 406 minutes before 5:54 AM?
11:08 PM
How many minutes are there between 2:05 AM and 8:45 AM?
400
What is 482 minutes after 6:02 PM?
2:04 AM
How many minutes are there between 2:44 PM and 3:38 PM?
54
What is 283 minutes before 3:06 PM?
10:23 AM
What is 266 minutes before 1:15 AM?
8:49 PM
How many minutes are there between 7:20 AM and 10:44 AM?
204
How many minutes are there between 5:32 AM and 12:00 PM?
388
How many minutes are there between 5:34 AM and 7:29 AM?
115
How many minutes are there between 2:02 AM and 2:44 AM?
42
How many minutes are there between 5:55 AM and 9:55 AM?
240
How many minutes are there between 8:26 AM and 7:27 PM?
661
What is 141 minutes after 2:53 AM?
5:14 AM
What is 667 minutes before 11:51 PM?
12:44 PM
What is 631 minutes after 4:45 PM?
3:16 AM
What is 636 minutes after 11:22 AM?
9:58 PM
What is 410 minutes before 4:50 PM?
10:00 AM
What is 250 minutes after 4:46 PM?
8:56 PM
What is 404 minutes after 2:02 AM?
8:46 AM
How many minutes are there between 10:22 PM and 8:10 AM?
588
How many minutes are there between 9:42 PM and 1:05 AM?
203
What is 327 minutes before 7:42 AM?
2:15 AM
What is 48 minutes before 12:17 AM?
11:29 PM
What is 631 minutes before 4:25 PM?
5:54 AM
How many minutes are there between 10:43 PM and 5:10 AM?
387
How many minutes are there between 10:02 PM and 7:09 AM?
547
How many minutes are there between 11:52 AM and 2:08 PM?
136
What is 404 minutes after 9:19 PM?
4:03 AM
How many minutes are there between 12:09 AM and 10:20 AM?
611
How many minutes are there between 10:49 PM and 4:02 AM?
313
How many minutes are there between 7:32 AM and 8:48 AM?
76
What is 585 minutes before 11:51 AM?
2:06 AM
How many minutes are there between 10:11 PM and 8:55 AM?
644
What is 657 minutes before 11:30 PM?
12:33 PM
How many minutes are there between 8:46 PM and 3:14 AM?
388
How many minutes are there between 10:31 AM and 5:40 PM?
429
How many minutes are there between 4:38 AM and 6:50 AM?
132
How many minutes are there between 4:49 AM and 5:14 AM?
25
What is 341 minutes before 5:59 PM?
12:18 PM
How many minutes are there between 2:29 AM and 12:15 PM?
586
What is 538 minutes before 2:08 AM?
5:10 PM
How many minutes are there between 5:39 AM and 9:01 AM?
202
How many minutes are there between 12:32 PM and 7:36 PM?
424
How many minutes are there between 10:11 AM and 12:35 PM?
144
What is 585 minutes after 9:15 AM?
7:00 PM
How many minutes are there between 6:44 PM and 9:59 PM?
195
How many minutes are there between 9:41 AM and 2:51 PM?
310
How many minutes are there between 8:09 PM and 5:51 AM?
582
What is 408 minutes before 1:28 PM?
6:40 AM
What is 612 minutes before 1:16 AM?
3:04 PM
What is 240 minutes before 2:30 PM?
10:30 AM
How many minutes are there between 10:47 AM and 8:25 PM?
578
What is 62 minutes after 2:24 AM?
3:26 AM
How many minutes are there between 12:23 AM and 11:53 AM?
690
How many minutes are there between 4:21 PM and 6:05 PM?
104
What is 197 minutes before 12:10 AM?
8:53 PM
What is 277 minutes before 10:53 PM?
6:16 PM
What is 171 minutes before 6:22 AM?
3:31 AM
What is 110 minutes after 4:45 PM?
6:35 PM
How many minutes are there between 9:37 PM and 10:31 PM?
54
How many minutes are there between 7:59 AM and 1:20 PM?
321
What is 12 minutes after 5:17 AM?
5:29 AM
How many minutes are there between 12:25 PM and 2:06 PM?
101
What is 191 minutes before 1:52 AM?
10:41 PM
What is 355 minutes before 6:29 PM?
12:34 PM
How many minutes are there between 11:09 PM and 9:20 AM?
611
What is 644 minutes after 3:19 PM?
2:03 AM
How many minutes are there between 6:37 AM and 5:54 PM?
677
What is 165 minutes after 10:07 AM?
12:52 PM
How m
|
{
"pile_set_name": "DM Mathematics"
}
|
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