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ing order.
-210, -0.5, 2.9, 5
Put 3, 1, 15, -4 in decreasing order.
15, 3, 1, -4
Sort -2, 141, 4/9, -0.08, -8 in ascending order.
-8, -2, -0.08, 4/9, 141
Put 910, 90, -3, -1 in ascending order.
-3, -1, 90, 910
Sort -3, -32, -5, 0.022, -2 in decreasing order.
0.022, -2, -3, -5, -32
Put 1/5, -1/2, -173.2, -2, 32, 5 in increasing order.
-173.2, -2, -1/2, 1/5, 5, 32
Put -5232.3, -0.5, -3, 2 in decreasing order.
2, -0.5, -3, -5232.3
Put 2/2943, 0.0379, 1/5 in ascending order.
2/2943, 0.0379, 1/5
Sort -2, 7, 5, 100.
-2, 5, 7, 100
Put -0.83, 7, -1, 19, 8 in descending order.
19, 8, 7, -0.83, -1
Put -8, 48, 369, -2/7 in descending order.
369, 48, -2/7, -8
Sort -1/2, 716.8, 3/2 in decreasing order.
716.8, 3/2, -1/2
Put -3, -14, -709, -4 in ascending order.
-709, -14, -4, -3
Sort 2, -47468, 1, -8, 3 in increasing order.
-47468, -8, 1, 2, 3
Put 4, -347, -1/13 in decreasing order.
4, -1/13, -347
Sort 0, -5, -4, 6939 in increasing order.
-5, -4, 0, 6939
Sort -0.2524, -1, -2/11, -0.23 in ascending order.
-1, -0.2524, -0.23, -2/11
Sort 37, -1, 5, 15, 4, 13 in descending order.
37, 15, 13, 5, 4, -1
Sort 185, 2/17, 36 in decreasing order.
185, 36, 2/17
Sort -5, 0.1, 1.903, 5 in descending order.
5, 1.903, 0.1, -5
Sort -1/5, 232, 59.
-1/5, 59, 232
Put 1/4, -8, 0.1, 0, -1, 39 in increasing order.
-8, -1, 0, 0.1, 1/4, 39
Sort -4, 0, -2, -251, 4 in descending order.
4, 0, -2, -4, -251
Sort -15, -22, 0, -5, -17 in increasing order.
-22, -17, -15, -5, 0
Put -18/7, 1/5, 3, -0.3, 2/11, 3/5 in decreasing order.
3, 3/5, 1/5, 2/11, -0.3, -18/7
Sort 0, -4, -2/5, -437740 in ascending order.
-437740, -4, -2/5, 0
Sort 5, 36546, 1 in ascending order.
1, 5, 36546
Put 4, -215, 3, -14 in descending order.
4, 3, -14, -215
Put -3, 0, 379, 4 in decreasing order.
379, 4, 0, -3
Sort 290, -5, 2, -9, -4.
-9, -5, -4, 2, 290
Put 13, 17, -3, 0 in decreasing order.
17, 13, 0, -3
Put -686, 1, -2, -5, 3, -41 in decreasing order.
3, 1, -2, -5, -41, -686
Sort -6, 34, -3, 0, 122, 4 in ascending order.
-6, -3, 0, 4, 34, 122
Put 215, 1, 806 in decreasing order.
806, 215, 1
Put 2/45, 0.5, 1/3, -6, -35 in descending order.
0.5, 1/3, 2/45, -6, -35
Put 5, -1/4, -31, -8/3, 0.4 in descending order.
5, 0.4, -1/4, -8/3, -31
Sort 37, 10, -5, 4, 0.
-5, 0, 4, 10, 37
Sort -1312, -2, 0.8, 4.
-1312, -2, 0.8, 4
Sort 37/141, -2/11, 4/3, -0.5 in ascending order.
-0.5, -2/11, 37/141, 4/3
Sort -26, -1490, 1, 3 in descending order.
3, 1, -26, -1490
Put 5, 1, -1/4, -2631.3 in ascending order.
-2631.3, -1/4, 1, 5
Put 1, -461, 46, 4 in decreasing order.
46, 4, 1, -461
Sort 2, -0.1, 0, -0.119, -10 in decreasing order.
2, 0, -0.1, -0.119, -10
Sort 21, 44, -20, -0.5 in ascending order.
-20, -0.5, 21, 44
Sort 4, -0.2, -1, -3, -1/9, -193 in ascending order.
-193, -3, -1, -0.2, -1/9, 4
Sort -4/9, -0.0686, 2/213 in ascending order.
-4/9, -0.0686, 2/213
Put -4, 5, -3, 4, -1138, -5 in increasing order.
-1138, -5, -4, -3, 4, 5
Put -5, -958/9, -1, 0.4, 4 in ascending order.
-958/9, -5, -1, 0.4, 4
Sort -4, -76, -3, 19, 0, 4 in increasing order.
-76, -4, -3, 0, 4, 19
Put -0.5, 5/14, -129/2 in descending order.
5/14, -0.5, -129/2
Put 0.058, -0.4, 32.67 in decreasing order.
32.67, 0.058, -0.4
Put -405, 0, 43, 2 in ascending order.
-405, 0, 2, 43
Sort -104, -5, -4, 0, 3.
-104, -5, -4, 0, 3
Sort 5, -1/7, 0.88, -0.4, 0.2 in increasing order.
-0.4, -1/7, 0.2, 0.88, 5
Sort -36, 4, -334 in decreasing order.
4, -36, -334
Put 2, 26, 7, 73 in ascending order.
2, 7, 26, 73
Sort -9, -4, 2990, -1 in increasing order.
-9, -4, -1, 2990
Sort 340, 2, -4, 44, -2, -5.
-5, -4, -2, 2, 44, 340
Sort 324, 5, 168 in descending order.
324, 168, 5
Sort 4, -27/10, -8.
-8, -27/10, 4
Put -5, 2, 687, 6, 1 in decreasing order.
687, 6, 2, 1, -5
Sort -9, 5, -43 in increasing order.
-43, -9, 5
Sort -3, 89, 72, -0.4, -1/4, -0.3 in ascending order.
-3, -0.4, -0.3, -1/4, 72, 89
Put -4, 0.2, 1/7, -1/2, 1/2, -5 in ascending order.
-5, -4, -1/2, 1/7, 0.2, 1/2
Put 2/3, 4, -1, 6/13, 0.6 in descending order.
4, 2/3, 0.6, 6/13, -1
Put -3, -2/7, 9, 0.4, 0.021, 2/7 in increasing order.
-3, -2/7, 0.021, 2/7, 0.4, 9
Sort -4, 305, -20, -3 in decreasing order.
305, -3, -4, -20
Sort -1, 3, -4, -711, 18 in descending order.
18, 3, -1, -4, -711
Sort -4, 2, 1455, 47 in descending order.
1455, 47, 2, -4
Sort 1, -2/7, -4, -48, 2/35, -1 in ascending order.
-48, -4, -1, -2/7, 2/35, 1
Sort -0.8, 0.1, -2/11, 10 in descending order.
10, 0.1, -2/11, -0.8
Sort 8, -1.4, 2, 1/6, -8.
-8, -1.4, 1/6, 2, 8
Sort -5, -40, 2, 113 in decreasing order.
113, 2, -5, -40
Sort -0.1, 13, 0, -4, 23 in decreasing order.
23, 13, 0, -0.1, -4
Sort 1, -5, 39, 3, -10.
-10, -5, 1, 3, 39
Sort 157, -2, 8, 7, -3, -5 in increasing order.
-5, -3, -2, 7, 8, 157
Put 1, 0.07, -20, 292 in increasing order.
-20, 0.07, 1, 292
Sort 121, 1, -3, 0 in descending order.
121, 1, 0, -3
Sort -8, -36, -6, 2 in ascending order.
-36, -8, -6, 2
Put -36, -3, 0, -6, -5 in descending order.
0, -3, -5, -6, -36
Sort 0, 5, 4, 745, 147 in increasing order.
0, 4, 5, 147, 745
Put 72, 11, 5, -4, 10, 2 in descending order.
72, 11, 10, 5, 2, -4
Put 4, -6, -2, -4, 1360 in decreasing order.
1360, 4, -2, -4, -6
Sort 104, 426, 1/4 in increasing order.
1/4, 104, 426
Put -13, 7565, 0 in ascending order.
-13, 0, 7565
Put 2, -411, -9 in decreasing order.
2, -9, -411
Put 3, -8, -146 in descending order.
3, -8, -146
Put 2013, 29, 0.5, -0.3 in ascending order.
-0.3, 0.5, 29, 2013
Put -4, 133447, 2/7 in decreasing order.
133447, 2/7, -4
Sort -1/3, 56, 3.5, 1, -2/9 in descending order.
56, 3.5, 1, -2/9, -1/3
Sort 113, 115, 15, 2 in decreasing order.
115, 113, 15, 2
Sort 122/77, 3, 0.3, 4, 2 in increasing order.
0.3, 122/77, 2, 3, 4
Put -3, -5/2, 1/3, 1719 in decreasing order.
1719, 1/3, -5/2, -3
Sort 3, -16668, -5 in decreasing order.
3, -5, -16668
Sort 5, -1, -430, -5, -11.
-430, -11, -5, -1, 5
Put -4/3183, 5, -0.5 in increasing order.
-0.5, -4/3183, 5
Sort 1, 447, 4, -2, -6 in increasing order.
-6, -2, 1, 4, 447
Sort -1, 80, 386 in decreasing order.
386, 80, -1
Sort -85, -0.5, -0.1 in increasing order.
-85, -0.5, -0.1
Sort -670254/17, 0, -1/6 in increasing order.
-670254/17, -1/6, 0
Sort 1, 14725, 11, 5 in ascending order.
1, 5, 11, 14725
Put -6, 5, -8/11, -0.09, -4, 7 in decreasing order.
7, 5, -0.09, -8/11, -4, -6
Sort -2, -81, -20, 6.
-81, -20, -2, 6
Put -95, 5, -32 in decreasing order.
5, -32, -95
Sort 1/7, 120, 2, -0.4, -0.5 in decreasing order.
120, 2, 1/7, -0.4, -0.5
Put 0.2, -0.6, -4, -1/6, -1/2, 0.4 in increasing order.
-4, -0.6, -1/2, -1/6, 0.2, 0.4
Put 507, 1, -10, 5 in increasing order.
-10, 1, 5, 507
Sort 2, 9, 5, 91, 4 in descending order.
91, 9, 5, 4, 2
Sort 5/4, 1.4, 72.63, -3 in decreasing order.
72.63, 1.4, 5/4, -3
Put 18927, 2, 1, -1 in descending order.
18927, 2, 1, -1
Put -3, -4, -1464, 3 in descending order.
3, -3, -4, -1464
Sort 3, -3, 0, -14, -1062.
-1062, -14, -3, 0, 3
Sort 0.1, -1.9, -1, -6, 66/5, 2.
-6, -1.9, -1, 0.1, 2, 66/5
Sort 5, 8251, 0 in descending order.
8251, 5, 0
Sort 15/11, 2/7, 84.5, 0, 1/6 in descending order.
84.5, 15/11, 2/7, 1/6, 0
Sort -10, 11, 1, 23, 4 in descending order.
23, 11, 4, 1, -10
Sort 0.2, 0, -2, -34, 22/9, 3/11 in increasing order.
-34, -2, 0, 0.2, 3/11, 22/9
Sort -357, 5, 13, -4 in ascending order.
-357, -4, 5, 13
Sort 2, -0.09, 5, 0.5, 1, 4/87 in descending order.
5, 2, 1, 0.5, 4/87, -0.09
Put 50, 77, -47 in ascending order.
-47, 50, 77
Put 12, 108, 81, -2 in ascending order.
-2, 12, 81, 108
Sort 5402/11, 4, -2/5, 6/11.
-2/5, 6/11, 4, 5402/11
Put -0.5, -4/13, 0.4, -0.4, -461 in ascending order.
-461, -0.5, -0.4, -4/13, 0.4
Put 4, -1965, -4, 5 in decreasing order.
5, 4, -4, -1965
Sort 3386, -247, -2 in descending order.
3386, -2, -247
Put -3, 1/3, 1/6, -4, -11/37 in descending order.
1/3, 1/6, -11/37, -3, -4
Sort 6, -115, 4, -1, 61.
-115, -1, 4, 6, 61
Sort -112, 2, -4, -2, 1 in decreasing order.
2, 1, -2, -4, -112
Sort 0.036, 2/19, 12 in decreasing order.
12, 2/19, 0.036
Put 5, -26, -1.4, -3 in ascending order.
-26, -3, -1.4, 5
Sort -5, 3741, 2, -3 in decreasing order.
3741, 2, -3, -5
Put -6, -3, -77149 in descending order.
-3, -6, -77149
Put -1, -4, -3195 in decreasing order.
-1, -4, -3195
Put -4, -137, -48, 2, -3 in increasing order.
-137, -48, -4, -3, 2
Put -896.3, -2.4, -2/11 in decreasing order.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l(k) = k**3 - 2*k + 66. Let z be l(y). What is the highest common divisor of 22 and z?
22
Suppose 15*y - 117 = 48. Calculate the greatest common divisor of 352 and y.
11
Let q(o) = o**2 - 4*o - 2. Let x be q(5). Let v(y) = 68 - 5*y + x*y - 65 - 15*y. Let w be v(-3). Calculate the highest common factor of w and 18.
18
Let l(k) = 5*k - 4. Let s be l(5). Let u = -22557 - -22809. What is the greatest common divisor of u and s?
21
Suppose 14*s - 175 = -49. Calculate the greatest common factor of 21 and s.
3
Let i = 118 - 114. Suppose 4*k - 4*s = -2*s + 22, i*k + 4*s = 28. What is the highest common factor of k and 42?
6
Let j = -4 + 16. Suppose -3*t = -4*t + 7. Let g(p) = p - 4. Let a be g(t). What is the highest common factor of a and j?
3
Let m be (0 - 1)*(-2106 + 12 + -6). Calculate the greatest common factor of m and 100.
100
Let y(b) = -b + 3. Let a be y(4). Let u be (-18)/6 + 19 + a. Let p be 242/u - (-14)/(-105). Calculate the greatest common factor of 24 and p.
8
Let h = -203 - -385. What is the highest common divisor of h and 26?
26
Let v be -84*4/((-96)/(-90)). Let m be ((-10)/v*9)/((-1)/(-77)). Calculate the greatest common factor of m and 88.
22
Suppose 2*m - 3*b - 478 = 0, 3*b - 6 - 6 = 0. Calculate the highest common factor of 147 and m.
49
Let c = -903 + 988. Let u be (6/(-4))/((-1)/2). Suppose -u*d + 7*d = 68. Calculate the highest common factor of d and c.
17
Suppose 3*w - 49 = -31. Let a be (-2 - -1)/((w + -2)/(-168)). Calculate the greatest common divisor of a and 63.
21
Let l = 1720 - 1548. Calculate the greatest common factor of l and 258.
86
Suppose 3*n = -4*l + 37, 27*l - 28*l + 3*n + 28 = 0. What is the greatest common divisor of l and 1157?
13
Suppose -4*q = -4*m - 1392, 14*q - 9*q - 3*m = 1740. What is the greatest common divisor of q and 12?
12
Suppose -b - 5 = -13. Let w(m) = 7*m**3 + 2*m**2 - 1. Let s be w(1). What is the highest common factor of b and s?
8
Suppose -d = 3*d + 48. Let a be 42/(-4) - (-18)/d. Let r be (-46)/(-4) - a/(-8). Calculate the highest common divisor of r and 25.
5
Let l = 93 - 76. Calculate the highest common divisor of 833 and l.
17
Suppose 50*h - 633 = 2047 - 280. Suppose -5*i - 2 = -17. Calculate the greatest common divisor of h and i.
3
Let l(p) be the first derivative of -p**4/4 + 7*p**3/3 + 5*p**2/2 + 4*p - 15. Let c be l(6). What is the highest common divisor of 10 and c?
10
Let j(p) = 5*p**2 + 63 - 4*p**2 - 69. Let a be j(3). Let l be 2*(4 - a) - -130. Calculate the greatest common factor of 12 and l.
12
Let b = 1587 - 1584. Let p = 16 - -2. Calculate the greatest common divisor of p and b.
3
Let u be 50/(-4)*8/(-10). Let n = 43 + -33. What is the greatest common divisor of u and n?
10
Let s = 9 + -3. Let l = s - -6. Let c be 153/l - 6/8. Calculate the greatest common factor of 8 and c.
4
Let y be (-3)/(-9) - 2/(-3). Suppose 4*h + y + 0 = -g, -4*h - 16 = 0. Calculate the highest common factor of g and 165.
15
Let s = 2 + 1. Suppose j = -2*y + 15, -5*j - 4*y = -130 + 37. What is the greatest common factor of j and s?
3
Let u = 2732 - 2438. Calculate the greatest common divisor of 9 and u.
3
Suppose 19*d = 18*d + 4. Suppose 10 + 22 = d*v. What is the greatest common divisor of 72 and v?
8
Let u(a) = 7*a + 7*a - 10*a + 3*a**2 - 3 + 4. Let q be u(-5). What is the highest common divisor of q and 8?
8
Suppose -12 = -17*d + 14*d. Let c be (d/3)/(6/27). Let l(o) = -17*o**3 + o**2 + o + 1. Let f be l(-1). Calculate the highest common divisor of f and c.
6
Suppose -8*c + 9*c - l = 883, 5*l - 5265 = -6*c. Calculate the greatest common divisor of 11 and c.
11
Let z be -3 + (-4 - (-10)/4)*-10. Suppose -42 = -4*h - 3*h. What is the greatest common factor of z and h?
6
Let h(c) = -c**3 - 4*c**2 - 3*c - 8. Let d be h(-4). Let w be ((-2)/d)/(5/(-220)). Calculate the highest common factor of 154 and w.
22
Let s be ((-112)/70)/((-6)/105). What is the highest common divisor of 756 and s?
28
Suppose 0 = -4*y - 3*f - 73, 0 = -2*y + 3*y + f + 17. Let g = y - -37. Calculate the highest common factor of g and 135.
15
Suppose 5*f - 5*m - 790 = 0, -3*f - 13*m + 479 = -11*m. Calculate the greatest common divisor of 3 and f.
3
Suppose 0 = 4*o - 2*o - 12. Suppose 230 = 2*x + o. Calculate the greatest common factor of 14 and x.
14
Let k = 19 + -17. Suppose -2*j = k*j - 52. What is the greatest common factor of j and 13?
13
Let v be (8/(-2))/((-1)/20). Let m = v + 22. Let w = m - 54. What is the greatest common factor of w and 12?
12
Suppose 5*d = -30*d + 1855. Calculate the greatest common divisor of d and 477.
53
Let k(f) = f**2 - 2*f - 5. Let l be k(4). Suppose l*x = 466 - 100. Let r be (-5)/((-10)/x) - 1. Calculate the greatest common factor of 10 and r.
10
Let a(t) = 2*t**3 + 31*t**2 - 16*t + 10. Let x be a(-16). Suppose -x*n + 4*n + 120 = 0. What is the highest common divisor of n and 50?
10
Suppose 4*n - 4*x + 8 = 0, -n - 4*n - 4*x + 26 = 0. Suppose 2*w + 0*w - 2 = 0, n*p - 41 = w. Let c = -19 + 26. Calculate the greatest common factor of c and p.
7
Let k(o) = 4*o**2 + 28*o + 20. Let z be k(-12). What is the greatest common factor of 52 and z?
52
Let a be (-186)/(-18) + (-2)/6. Suppose a = 5*g - 5. What is the highest common divisor of g and 2?
1
Suppose 0 = 76*a - 77*a + 20. Suppose -89 - 31 = -3*x. Calculate the highest common divisor of a and x.
20
Let x = -183 - -237. Calculate the greatest common divisor of 720 and x.
18
Let u(k) = -4*k - 6. Let h be u(-5). Suppose 4*a - a = -y + 166, a = -2*y + 312. What is the greatest common factor of y and h?
14
Let h(q) = 65*q**2 - 2*q - 1. Let t be h(-1). Suppose -390 = -4*z - 3*i, -3*z + i = -i - 284. Let x = z - 90. Calculate the greatest common factor of t and x.
6
Let w be 5418/27 + 2/(-3). Suppose 0 = 3*c + 2*x - w - 3, 2*x + 199 = 3*c. Suppose 6*k - 445 + c = 0. Calculate the highest common factor of 9 and k.
9
Let j = -1392 + 1413. What is the highest common divisor of 3 and j?
3
Let t be (-3)/(-12) + 28/16. Let a(g) = 2*g + 3*g - t*g - 2 - 6. Let x be a(6). What is the highest common divisor of x and 90?
10
Let x = 21 + 29. Let k be 1/(2*5/80). Let s be 924/98 - k/(-14). What is the highest common divisor of x and s?
10
Let p = -65 + 105. Suppose -1370 + 1190 = -3*s. Calculate the highest common factor of p and s.
20
Let h = 2006 + -1170. Suppose -z = 2*o - 411, 159 = 5*o - 4*z - h. What is the highest common divisor of o and 29?
29
Let i(b) = -9*b - 2. Let h be i(1). Let y be 132/h*(-4)/3. Calculate the greatest common divisor of 40 and y.
8
Let f = -31 + 35. Suppose -o + 2*x - 104 = 4*o, 0 = -3*o + 4*x - 54. Let g be (-224)/o - (-10)/(-55). What is the greatest common factor of g and f?
2
Let u(a) = -139*a**3 - 2*a**2 + 1. Let g be u(-1). Calculate the greatest common divisor of 207 and g.
69
Suppose v = -3*g + 1395, -5*v - 4*g - g = -6925. What is the greatest common factor of 60 and v?
60
Let u(i) be the first derivative of i**3/3 + i**2/2 + 74*i - 4. Let d be u(0). Suppose d - 10 = 4*r. Calculate the highest common divisor of 176 and r.
16
Suppose -2*i - 2*q = -148, 5*q = 9 + 1. Suppose 27*l + i = 33*l. Suppose 181 + 143 = 3*w. What is the greatest common factor of w and l?
12
Let z be 3586/242 - (-4)/22. Let d = -15 + z. Suppose j - 208 = 3*b, 0 = 2*j - d*j - 3*b - 428. What is the greatest common factor of j and 44?
44
Let z be (0/6)/((-4)/2). Suppose 2*m + 11*m - 598 = z. Calculate the greatest common divisor of 322 and m.
46
Let y be (-48)/(-9) + 3*4/(-36). Let z be (2/(-2)*y)/(2/(-8)). What is the highest common divisor of z and 240?
20
Suppose 30 = 5*h + m - 2*m, 4*h + m - 33 = 0. Let s = -16 - -36. Suppose -s = -4*y - 3*t + t, 5*t + 6 = -2*y. What is the greatest common divisor of h and y?
7
Suppose -5*i + 5*t = -31 - 19, 0 = -2*i - 4*t + 8. Calculate the highest common divisor of i and 1016.
8
Let m(a) = 6*a - 27. Let w(c) = -2*c - 22. Let y be w(-14). Let b be m(y). Calculate the greatest common factor of b and 45.
9
Let u = 589 + -557. Calculate the highest common factor of u and 2080.
32
Suppose -518 - 710 = -4*s. Let d = -59 + s. Calculate the highest common divisor of d and 31.
31
Let k(w) = w. Let u(d) = 0*d + 6 - 3 + 3 - d. Let f be u(5). Let r be k(f). Calculate the greatest common divisor of 1 and r.
1
Suppose -33*h + 44800 = 37*h
|
{
"pile_set_name": "DM Mathematics"
}
|
picked without replacement from rkbdrrrpporpd?
1/858
What is prob of sequence yqxo when four letters picked without replacement from yxqossyq?
1/420
Four letters picked without replacement from {p: 3, c: 12}. What is prob of sequence ppcp?
1/455
Calculate prob of sequence hgw when three letters picked without replacement from {g: 1, h: 3, z: 3, y: 1, w: 3}.
1/110
Two letters picked without replacement from uqxuxuwqieeqxei. Give prob of sequence uw.
1/70
Three letters picked without replacement from {a: 7, k: 1, u: 4, s: 8}. Give prob of sequence asu.
28/855
Two letters picked without replacement from ddjjddjpdpdpjpp. What is prob of sequence dp?
1/7
What is prob of sequence qqq when three letters picked without replacement from zqqqqqqqqqqqqqqqqqq?
16/19
Three letters picked without replacement from ditfidpiiudtfd. Give prob of sequence upf.
1/1092
Two letters picked without replacement from {h: 1, k: 3, w: 2, y: 1}. Give prob of sequence hy.
1/42
Calculate prob of sequence ws when two letters picked without replacement from {d: 9, s: 3, a: 3, w: 2}.
3/136
Calculate prob of sequence jssi when four letters picked without replacement from {s: 2, t: 1, i: 1, a: 1, j: 1, m: 1}.
1/420
Three letters picked without replacement from {q: 1, u: 1, y: 4, w: 3, m: 2}. Give prob of sequence wyu.
2/165
Four letters picked without replacement from mbvmbvmdkvmvmvmmvmmm. What is prob of sequence kbdb?
1/58140
Four letters picked without replacement from {c: 5}. Give prob of sequence cccc.
1
What is prob of sequence oo when two letters picked without replacement from {k: 10, o: 2}?
1/66
Four letters picked without replacement from zzddzdddzzdddzdzzz. Give prob of sequence ddzz.
6/85
What is prob of sequence qq when two letters picked without replacement from {q: 2, n: 7}?
1/36
Three letters picked without replacement from ihnnmypi. Give prob of sequence hmi.
1/168
Three letters picked without replacement from {x: 4, z: 3, g: 4}. What is prob of sequence zxg?
8/165
Calculate prob of sequence re when two letters picked without replacement from xtrenkk.
1/42
Calculate prob of sequence nnnn when four letters picked without replacement from {n: 6}.
1
What is prob of sequence ud when two letters picked without replacement from adouucdduddddddquu?
5/34
What is prob of sequence ippp when four letters picked without replacement from ppppppppppppppippppp?
1/20
Two letters picked without replacement from {e: 4, h: 3}. What is prob of sequence ee?
2/7
Two letters picked without replacement from {n: 1, s: 4, v: 2, y: 2}. What is prob of sequence vy?
1/18
What is prob of sequence lvv when three letters picked without replacement from {l: 11, v: 2}?
1/78
Two letters picked without replacement from tsxbbtbbsbstl. Give prob of sequence lx.
1/156
Calculate prob of sequence ff when two letters picked without replacement from {f: 5, g: 13}.
10/153
Three letters picked without replacement from {n: 3, i: 1, x: 2, t: 6, v: 4}. Give prob of sequence nvx.
1/140
Four letters picked without replacement from {z: 1, a: 1, l: 7, b: 4, m: 3}. What is prob of sequence zlll?
1/208
Four letters picked without replacement from fqvkfqfqwvkqvvqqf. What is prob of sequence qfwf?
3/2380
Calculate prob of sequence pp when two letters picked without replacement from uzzlzupzpup.
3/55
Four letters picked without replacement from eaaeaeeeeeeaa. Give prob of sequence aeea.
28/429
Two letters picked without replacement from {x: 1, n: 4, y: 1, v: 2}. What is prob of sequence nv?
1/7
Four letters picked without replacement from {u: 14, y: 5}. What is prob of sequence yuyu?
455/11628
Three letters picked without replacement from hhthhhethhtewhw. Give prob of sequence twe.
2/455
Calculate prob of sequence arar when four letters picked without replacement from araraaaaaaaaa.
1/78
What is prob of sequence mgh when three letters picked without replacement from {m: 2, i: 1, g: 2, h: 4, p: 1}?
1/45
Three letters picked without replacement from {q: 2, i: 1}. What is prob of sequence qqi?
1/3
Four letters picked without replacement from {v: 4, f: 7, h: 2}. Give prob of sequence fvff.
7/143
Three letters picked without replacement from tmbbhsntnhmbttmbtth. Give prob of sequence mts.
1/323
Calculate prob of sequence bb when two letters picked without replacement from {v: 7, b: 2, q: 3}.
1/66
Two letters picked without replacement from ynkvd. What is prob of sequence vn?
1/20
What is prob of sequence mh when two letters picked without replacement from mmhmmhmmmmh?
12/55
Four letters picked without replacement from wwywyyynwwywnyywnwyn. What is prob of sequence ywyn?
224/14535
Three letters picked without replacement from {i: 3, w: 1, f: 1, p: 7, u: 2}. Give prob of sequence pui.
1/52
What is prob of sequence iiyi when four letters picked without replacement from iyyyiyyi?
1/56
Calculate prob of sequence jij when three letters picked without replacement from {v: 3, j: 10, z: 2, s: 3, i: 1}.
5/323
Three letters picked without replacement from {j: 2, t: 1, h: 2, w: 1, q: 1, g: 2}. What is prob of sequence gjt?
1/126
Calculate prob of sequence kh when two letters picked without replacement from xqhxk.
1/20
Three letters picked without replacement from {k: 1, s: 1, u: 3, p: 1, f: 5}. What is prob of sequence sss?
0
Two letters picked without replacement from {l: 15, y: 3}. What is prob of sequence ll?
35/51
What is prob of sequence lz when two letters picked without replacement from {l: 1, z: 2, n: 1}?
1/6
Calculate prob of sequence fq when two letters picked without replacement from {q: 10, f: 2}.
5/33
Calculate prob of sequence nnf when three letters picked without replacement from fnnfpnf.
3/35
What is prob of sequence vkqf when four letters picked without replacement from {v: 2, q: 1, k: 4, j: 4, f: 3}?
1/1001
Two letters picked without replacement from nnnynnlonnlolnnnnol. Give prob of sequence ln.
22/171
Three letters picked without replacement from {e: 1, o: 1, v: 2, g: 6, l: 3}. Give prob of sequence gvg.
5/143
Four letters picked without replacement from nmvno. What is prob of sequence mnon?
1/60
Four letters picked without replacement from {j: 11, g: 5}. What is prob of sequence jggg?
11/728
What is prob of sequence dxo when three letters picked without replacement from {o: 3, w: 1, d: 3, t: 10, x: 2}?
1/323
Three letters picked without replacement from {o: 1, j: 1, t: 1, v: 3, u: 4, n: 5}. Give prob of sequence nun.
8/273
Three letters picked without replacement from zpzzzzzzzzpz. What is prob of sequence zzp?
3/22
Calculate prob of sequence dd when two letters picked without replacement from {d: 2, r: 2}.
1/6
Two letters picked without replacement from aayeaabbar. Give prob of sequence ay.
1/18
Calculate prob of sequence bbb when three letters picked without replacement from bbb.
1
Two letters picked without replacement from {h: 1, z: 2, b: 1, k: 4}. Give prob of sequence kb.
1/14
Two letters picked without replacement from xsdsdzolzdszddo. What is prob of sequence so?
1/35
Calculate prob of sequence ay when two letters picked without replacement from vysyashssahvfa.
3/91
Calculate prob of sequence kbb when three letters picked without replacement from {b: 4, k: 5, p: 3}.
1/22
Calculate prob of sequence bl when two letters picked without replacement from ggbgbbbbbfflgfg.
1/35
What is prob of sequence yhd when three letters picked without replacement from {l: 1, h: 2, d: 2, y: 1, s: 6}?
1/330
Four letters picked without replacement from whwwwlhlzwwhwl. Give prob of sequence lzwh.
3/1144
Calculate prob of sequence nnsn when four letters picked without replacement from {s: 2, r: 4, n: 7, a: 1, p: 4}.
7/1224
What is prob of sequence ad when two letters picked without replacement from fraaffadrraadafai?
7/136
Calculate prob of sequence gg when two letters picked without replacement from hghgghgggg.
7/15
Three letters picked without replacement from ooyyo. What is prob of sequence ooo?
1/10
Calculate prob of sequence uy when two letters picked without replacement from {u: 8, w: 5, r: 1, y: 4}.
16/153
What is prob of sequence nmma when four letters picked without replacement from zmmnazaannna?
4/1485
Four letters picked without replacement from aeeleae. Give prob of sequence alea.
1/105
Three letters picked witho
|
{
"pile_set_name": "DM Mathematics"
}
|
3
What is the nearest to 23 in -0.2, -0.02, -110.72?
-0.02
Which is the closest to -2? (a) -0.16 (b) 2/15 (c) -284
a
Which is the closest to 0? (a) -19.9 (b) 2 (c) 4 (d) -3 (e) -0.11692 (f) 2/17
e
Which is the closest to 10404? (a) 4/33 (b) -3 (c) 4
c
Which is the nearest to -0.019? (a) 1 (b) -66.096 (c) 5
a
Which is the nearest to -1? (a) 202/9 (b) -0.5 (c) -9 (d) -0.2 (e) -11/5
b
Which is the nearest to 1/9? (a) 42 (b) -2 (c) 2/17 (d) -5 (e) 4 (f) -0.3
c
What is the closest to 47552 in -2/9, -1/17, 0.06, 0.04?
0.06
What is the nearest to 2/5 in -14178, 2, 1, 4?
1
What is the closest to -1 in -2/8254913, 0.5, -4, 2/5?
-2/8254913
What is the closest to -589 in 3/2, 0, 1, -2, 5?
-2
What is the nearest to -1 in 0.2, 1, 5/6, 10, 24/5?
0.2
Which is the closest to 1/4? (a) -4/5 (b) -0.04 (c) -2/2011
c
Which is the closest to -8? (a) 1 (b) -0.2 (c) -2/11 (d) -5378
b
Which is the nearest to 37.3? (a) 7 (b) 5 (c) -1 (d) 18
d
What is the nearest to -6/719 in -0.1, 4/3, -131/2?
-0.1
Which is the nearest to -11630.31? (a) 4/21 (b) -0.4 (c) 0.5
b
Which is the closest to 655? (a) -8 (b) -11/3 (c) -0.4
c
What is the closest to 0.1 in 2, -4/25, 18, 21/467?
21/467
What is the nearest to -1/7 in -0.167, -39, -5, -15, -4?
-0.167
Which is the nearest to 3? (a) 119 (b) 1/28 (c) 1/3 (d) 118/7
c
Which is the nearest to -18604? (a) -5 (b) 0.6 (c) -0.1 (d) 12
a
Which is the closest to -1? (a) 14/5 (b) -0.2 (c) 36313 (d) 4/5 (e) -0.1
b
What is the nearest to -3/95 in 2/3, 0.2, -39, 0.1, 0.7?
0.1
Which is the closest to 56/9? (a) -0.1 (b) -0.04 (c) 0.1 (d) -3 (e) 1092/31 (f) -0.2
c
Which is the closest to 3? (a) 6 (b) 1 (c) 4/5 (d) 11434 (e) -1/6 (f) -5
b
What is the closest to -11 in 0.2, 96, 2/5, -3, 1.21?
-3
What is the closest to -0.1 in -2, 96710, 1?
1
Which is the nearest to -1/2? (a) 0.4 (b) -0.16 (c) 2/15 (d) 14 (e) -2 (f) 0.5
b
Which is the nearest to -41? (a) -3 (b) 2/7 (c) 0.1 (d) -48 (e) 4
d
What is the nearest to -1 in 3, -2/17, -4, 2.6017?
-2/17
What is the nearest to 1 in 0, -98, 1607/3, 1, -3/8?
1
What is the nearest to 0 in -232/41, 480, -5?
-5
What is the closest to 0.0077 in 3, 11.35, -3?
3
Which is the closest to -0.1? (a) 0.2 (b) -1 (c) -3/8 (d) -3 (e) -4078821
c
Which is the nearest to -3.27? (a) -0.3 (b) -97 (c) 0.4
a
What is the closest to 1057 in 4.9, -1/3, -2/3, -4/3, -3?
4.9
Which is the closest to 0.14? (a) 23 (b) 3/98623 (c) -1/4
b
What is the nearest to 0 in 2/19, -1, -139, 2, -0.2?
2/19
What is the closest to -0.03 in 52702, -35, -5, 0.5?
0.5
Which is the nearest to -0.066? (a) 3/8 (b) -22 (c) 46 (d) 1/3
d
Which is the closest to -7? (a) 0.3 (b) -4163 (c) 5 (d) -9
d
What is the closest to -2 in -42, 0, 4, -0.26?
-0.26
What is the closest to -228 in 1/10, -4/9, -0.0152, 1/3?
-4/9
What is the nearest to -3 in 2/13, 5, -2406980, 3, -4, -1?
-4
What is the nearest to -2 in 5619, -4.4, -2, -2/5?
-2
What is the nearest to 1.6 in 142, 1, -18.8?
1
Which is the nearest to 160? (a) 46 (b) 4 (c) -13
a
What is the nearest to -64 in -0.1, -1, -524, 50, 0.1?
-1
What is the closest to 2.0851 in 6, 0.2, -1, 0, 0.5?
0.5
Which is the closest to 0.05? (a) -4 (b) 5.33 (c) 11 (d) -0.5 (e) 4
d
What is the closest to -2/7 in 0.0591487, 0.5, -0.27?
-0.27
What is the nearest to -44 in 97, -0.1, -6, 0, -2?
-6
What is the nearest to -2/9 in 3, -2/5, -54, -2.7937?
-2/5
What is the closest to 7/3 in 3, -53237, 1/9?
3
Which is the nearest to 0? (a) -7 (b) 0.66 (c) -26 (d) -3/23 (e) -18/7
d
What is the nearest to -9/8 in 72, -6/11, -2/5, 2, -3?
-6/11
Which is the nearest to 0.49? (a) -314 (b) -3/13 (c) -0.05
c
What is the nearest to -1/2 in -1/2, 1, 2/21, 2/35, 2038?
-1/2
What is the nearest to -2/9 in 0.5, -60, -7, 1/1503?
1/1503
What is the closest to 2 in -4/5, 2, -32981.4?
2
What is the nearest to 10 in -1/4, 1/5, -0.2, -0.5, -93/4?
1/5
What is the nearest to 1 in 2.4, 1, -29/6, -16?
1
What is the nearest to -15/142 in 0.2, -0.4, -1/4, 0.5, -1.457?
-1/4
What is the closest to -8106 in 1.18, 3, -2/5?
-2/5
What is the nearest to -0.07 in 4, -2/7, 1/49, -0.4548?
1/49
What is the nearest to 173 in 5, 296.341, -4?
296.341
Which is the nearest to -4? (a) 9 (b) 363 (c) 70
a
Which is the nearest to -94? (a) 0.53 (b) 246 (c) 5 (d) 0
d
Which is the nearest to 0? (a) 0.09 (b) -1 (c) 17 (d) 115 (e) 22
a
What is the closest to 57662 in -1/3, 6, 3?
6
Which is the nearest to -14? (a) 2 (b) -0.4 (c) -795.8 (d) -33
b
Which is the closest to -1? (a) -399 (b) 5 (c) -0.1 (d) 11/48
c
What is the nearest to 0.069 in -0.086, -2/11, 3/4, -2, -4?
-0.086
Which is the nearest to 1/7? (a) -74/5 (b) 0.2 (c) 3/49 (d) -2/15
b
What is the nearest to -0.01 in 2949, 4/7, -2/21, -4/3, -3/8?
-2/21
Which is the closest to -5.9? (a) -5 (b) 4 (c) 5/209 (d) -2 (e) -0.044 (f) -0.2
a
What is the nearest to 7979 in -4/3, -2, -6/11?
-6/11
Which is the closest to -0.1? (a) 0.38 (b) 1/8 (c) 3383
b
Which is the nearest to 3? (a) -2.2 (b) 37 (c) -3/5 (d) -0.4 (e) 0.4
e
Which is the nearest to -7/393? (a) 6 (b) 0.2 (c) 33
b
Which is the closest to 0.048? (a) 0.3 (b) 1/4 (c) 0.4 (d) 39 (e) -3/7
b
What is the closest to 64 in 78/5, -3/143, 1, 11, 2?
78/5
Which is the closest to -1/4? (a) -138 (b) -0.5 (c) 5 (d) 219 (e) 4
b
Which is the closest to 1? (a) 0.08 (b) -0.04 (c) -18.9 (d) -8 (e) -1/4
a
What is the nearest to 6 in -1/3, 34/3, 2/5, -80?
34/3
What is the closest to -0.1 in 0.4, 0.23, -39/16?
0.23
Which is the closest to 0.0697? (a) 4/315 (b) -2/7 (c) -2/5 (d) -5
a
What is the nearest to 0.1 in 43, -19095, -5?
-5
What is the closest to -10229 in 3, -24, -10/3?
-24
What is the closest to -4/61 in -1/5, -8/3, -0.4, 2.9, -42?
-1/5
What is the nearest to -0.1 in -121, 9, -0.6, 26/7?
-0.6
Which is the nearest to -16/15? (a) 6 (b) 3/4 (c) -79 (d) -0.1 (e) -0.5 (f) 0.5
e
What is the closest to -2 in -0.34, 0.3, 1/4, 1729.7, -0.3?
-0.34
Which is the nearest to -1/18? (a) -1/2 (b) -3/7450 (c) 36
b
What is the closest to -11/5 in -4.423, 0, -10/137?
-10/137
What is the closest to -1/10 in -3/14, 2/19, 0.14, 0.456?
-3/14
Which is the nearest to -0.3? (a) -20594 (b) -1 (c) 14 (d) -0.5
d
What is the closest to 6 in 2/7, -61, -1/8, -0.4, 281?
2/7
What is the nearest to 6 in -4, -49, -2103?
-4
What is the closest to 2/3 in 5030, -8/11, -3?
-8/11
What is the closest to -10748 in 0.1, -3/8, 2/9, -5, -0.03?
-5
What is the closest to -1/4 in -0.5, 117, -15, 2, -4/5, 0.2?
-0.5
Which is the nearest to 0.1? (a) 11768 (b) 0.09 (c) -2 (d) -3/8
b
What is the closest to 11/18 in 4/7, -17, -0.049?
4/7
Which is the nearest to 5/4? (a) 0 (b) -27730 (c) -0.1 (d) 1/3
d
Which is the nearest to -0.1? (a) -0.51 (b) -200821 (c) 2
a
What is the closest to -13 in 0.8, 0.3, 14420, -1, 5?
-1
Which is the closest to 9? (a) -2/7 (b) -11 (c) -21 (d) -5/2 (e) 14 (f) 0
e
What is the closest to 2487 in 0, 0.3, -0.2, 3/8, 4?
4
Which is the nearest to 2? (a) 3 (b) -24 (c) -2 (d) 33 (e) -2/19
a
Which is the nearest to -1.5? (a) -2/9 (b) -0.1 (c) -11804
a
What is the closest to -0.2 in 0.1, 3, 152, 44, -93?
0.1
Which is the nearest to 0? (a) 2/3 (b) -10 (c) 2/17 (d) 374 (e) -363 (f) 0.2
c
What is the nearest to 6/7 in -86, -4, -2, 0.5, 21, 4?
0.5
Which is the nearest to -721? (a) 0.08 (b) 5 (c) -1197 (d) -1
c
Which is the nearest to 22? (a) -1 (b) 2/15 (c) -2/5 (d) -22 (e) -8
b
Which is the closest to 13? (a) 10627 (b) -3/4 (c) 2/9 (d) -3 (e) -2/7 (f) -0.4
c
What is the nearest to 2/9 in -0.5, -17, 487, 28?
-0.5
What is the closest to 1 in -12, 34, 0.4, -1.2?
0.4
Which is the closest to 1/101? (a) 122 (b) -1/2 (c) 1.1 (d) 2 (e) 4
b
Which is the nearest to -1.2? (a) -9 (b) -65 (c) 5/2 (d) 17 (e) 0.3
e
What is the nearest to 4900 in -2/7, -2/3, 7, -0.4, 2/5?
7
Which is the closest to -40? (a) -3/7 (b) -0.1 (c) -134 (d) -3/4
d
What is the closest to -0.7 in 1056, 2, 3/7, 26/5?
3/7
Which is the nearest to 3? (a) -3/5 (b) -11/7 (c) 4/5 (d) -0.33 (e) -2
c
What is the closest to 0.2 in 1/5, 7/13233, 2, 46, 4?
1/5
Which is the nearest to -2? (a) 4 (b) -0.2 (c) 1 (d) -14130 (e) -0.4
e
Which is the closest to
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of 247*x**4 - 266*x**4 - 22 - a wrt x.
-76*x**3
Let z(d) be the second derivative of -58*d**6 - d**4/6 - 430*d**3/3 + 2132*d. Find the third derivative of z(v) wrt v.
-41760*v
Let n(v) = 2*v + 2. Let j(m) = -294*m**2 + 4*m + 29. Let o(x) = -3*j(x) + 6*n(x). Find the first derivative of o(p) wrt p.
1764*p
Differentiate -14*j - 40*j**2 + 55*j**2 + 8*j**2 + 60*j**2 + 523 - 2173 with respect to j.
166*j - 14
Let o = -1289/6 + 679/3. Let u(t) be the first derivative of -26 + o*t**2 - t. What is the first derivative of u(w) wrt w?
23
Let g(k) = 14*k - 200. Let d be g(16). What is the derivative of 92*w - 168 + d*w - 17*w wrt w?
99
Let f = -310 - -314. What is the second derivative of 103*u**f + 154*u - 70*u + 98*u + 49*u**4 wrt u?
1824*u**2
Let t(v) = -596*v**4 + 1281*v**2 + 12. Let c(p) = -8939*p**4 + 19215*p**2 + 182. Let r(u) = 6*c(u) - 91*t(u). What is the third derivative of r(j) wrt j?
14448*j
Let h(q) = 733*q**2 - 5*q + 13. Let p be h(5). Find the third derivative of 53*g**3 - g - 18313 + 4*g**2 + p wrt g.
318
What is the derivative of 969*f**2 + 1115*f**2 - 11916 + 1254*f**3 - 2090*f**2 wrt f?
3762*f**2 - 12*f
Let v(p) be the first derivative of 1619*p**2/2 - 1356*p - 1950. Find the first derivative of v(h) wrt h.
1619
Find the second derivative of 63*m - 1389*m**5 - 240*m - 60 + 171*m wrt m.
-27780*m**3
Let z = 15 + -10. Suppose z*o = -3*i + 5 + 12, -5*o = -5. What is the second derivative of 117*d - 2*d**3 - 10*d**i - 131*d + 2*d**3 wrt d?
-120*d**2
Let y(v) = 32*v - 59. Let j be y(3). Differentiate 71 - 32 - j - 8*b**4 + b + 3*b with respect to b.
-32*b**3 + 4
Suppose 4*g - 6 + 52 = 2*l, -2*g = 0. Let v = l - 21. Find the third derivative of -2*i**3 - i**3 - 5*i**3 - 3*i**3 - 5*i**v wrt i.
-66
Suppose 22*n - 38 = 3*n. Find the third derivative of 6*u**5 + 527*u**n - u**6 + u - 557*u**2 - u wrt u.
-120*u**3 + 360*u**2
Let g(m) = -29*m**3 - 2 - 5*m - 16 - 7. Let a(s) = -1 - 273*s + 269*s - 29*s**3 - 25. Let r(i) = -5*a(i) + 4*g(i). Differentiate r(l) with respect to l.
87*l**2
Let m(h) be the first derivative of -144/5*h**5 + 0*h**3 + 35 + 0*h + 0*h**4 - 8*h**2. What is the second derivative of m(x) wrt x?
-1728*x**2
Let t be (-2)/(-8) + 76/16. Let y be 1/(27/204 - (-28)/238). What is the second derivative of -t*c**4 + c**4 - 19*c - 5*c - 17*c**y wrt c?
-252*c**2
What is the second derivative of -6*d**3 + 25*d**3 + 1134*d + 5 + 42*d**2 - 6 - 31*d**2 wrt d?
114*d + 22
Suppose 29 = -u - 14*u + 29. Let l(v) be the third derivative of 8/3*v**3 - 2/5*v**5 - 11*v**2 + u*v**4 + 0*v + 0. Find the first derivative of l(o) wrt o.
-48*o
Let o(c) be the third derivative of 97/30*c**5 + 0*c**4 + 46*c**2 + 5/6*c**8 + 0*c**7 + 0*c + 0 + 0*c**6 + 0*c**3. What is the third derivative of o(l) wrt l?
16800*l**2
Let f(z) be the second derivative of -53*z - 1 + 283/2*z**2 - 1/4*z**4 - 23/3*z**3. What is the derivative of f(k) wrt k?
-6*k - 46
Let i(o) be the first derivative of -2787*o**4/4 - 70*o**3 - 97. Find the third derivative of i(a) wrt a.
-16722
Suppose 702*t = 627*t + 150. Suppose -3*m = -2*m - 4. Differentiate -23*a**4 - 14 - 3*a**m - 4 + t*a**4 wrt a.
-96*a**3
Let q(c) be the second derivative of 0*c**5 + 0*c**6 - 9/4*c**4 + 0*c**3 + 3/7*c**7 - 30*c + 0*c**2 - 2. What is the third derivative of q(z) wrt z?
1080*z**2
Suppose -3*x = 4*j - 5*j - 209, -2*j - 350 = -5*x. Differentiate x*g**2 + 10*g**2 + 6*g**2 + 77 with respect to g.
168*g
Let k = -139 - -142. Differentiate -143*f**k - 12 + 143*f**3 - 58*f**4 - 3 wrt f.
-232*f**3
Let j be (-2)/10 - (-264)/120. Find the third derivative of 20*v**4 + 2*v**j - 37*v**4 + 35*v**6 + 17*v**4 + 2 wrt v.
4200*v**3
Let l(i) = 4483*i**4 - 11*i**3 + 14473*i. Let q(g) = -2988*g**4 + 7*g**3 - 9649*g. Let h(c) = 9*l(c) + 14*q(c). Find the second derivative of h(b) wrt b.
-17820*b**2 - 6*b
Suppose 4*m - 2 - 6 = 0. Suppose -m*i - 2 - 2 = -5*u, i + 3 = 3*u. What is the derivative of -10*l**3 + 9*l**3 - 2*l**i - 23 wrt l?
-9*l**2
What is the second derivative of -2*i**3 - 28*i - 30*i + i**3 - 66*i + 80806*i**4 + 3 - 81120*i**4 wrt i?
-3768*i**2 - 6*i
Find the third derivative of -21*m**6 - 9*m**5 + 24*m**6 - 1301*m**2 - 60*m**5 - 11*m**6 wrt m.
-960*m**3 - 4140*m**2
Let y(z) = 3 - 4 + 2. Let n(o) = o**3 - 4*o**2 - 4*o - 6. Let k be n(5). Let i(f) = 6*f - 8. Let s(b) = k*i(b) + 5*y(b). Differentiate s(x) with respect to x.
-6
Let i(z) be the third derivative of 5/8*z**4 - 29/120*z**6 + 0*z**5 + 44*z**2 + 0*z + 0 + 0*z**3. Find the second derivative of i(f) wrt f.
-174*f
Let n(v) be the first derivative of 2499*v**4 + 11426*v**3/3 + 12111. Find the third derivative of n(q) wrt q.
59976
Let f(b) be the third derivative of -1982*b**7/105 + b**5/30 + 2827*b**4/8 + 4730*b**2. What is the third derivative of f(y) wrt y?
-95136*y
Let p(j) be the first derivative of 37*j**6/6 + 13*j**5/5 - j**4/4 + 921*j**3 + 6935. What is the third derivative of p(q) wrt q?
2220*q**2 + 312*q - 6
Let y(t) = -9*t**3 + t**2 - t - 1. Let k = 41 + -42. Let u be y(k). What is the first derivative of 0 + u*v + v + 2 + 19 wrt v?
11
Let o(h) = 2257*h**5 + 3*h**3 + 9*h**2 + 1906*h. Let r(u) = u**5 - u**3 - 3*u**2. Let a(b) = -o(b) - 3*r(b). Find the second derivative of a(m) wrt m.
-45200*m**3
Let k = -245 + 246. Let l(w) = -w**2 + w. Let z(m) = 65*m**3 + 153*m**2 - 5*m. Let j(i) = k*z(i) + 5*l(i). Find the third derivative of j(g) wrt g.
390
Let r(a) = -254*a**3 - 213*a**2 - 19*a - 19. Let o(l) = 85*l**3 + 71*l**2 + 6*l + 6. Let p(q) = 19*o(q) + 6*r(q). Find the third derivative of p(k) wrt k.
546
Let w(m) = 3*m**2 + 21*m - 400. Let x be w(-16). Suppose -5*v = -19 + 4. What is the derivative of x - 80*n**2 - 4*n**v + 80*n**2 wrt n?
-12*n**2
Let g(q) be the second derivative of -524*q**3 - 1157*q**2/2 + 1369*q. What is the derivative of g(c) wrt c?
-3144
Let d(t) be the second derivative of 0*t**6 + 0*t**5 + 30*t - 29/14*t**7 + 0*t**2 + 1 - 47/6*t**4 + 0*t**3. Find the third derivative of d(l) wrt l.
-5220*l**2
What is the second derivative of 498*w + 260*w**2 - 450*w**2 - 630*w**2 wrt w?
-1640
Let f(m) be the first derivative of -m**5/5 + 2*m**4 - 16*m**3/3 - 6*m - 585. What is the third derivative of f(x) wrt x?
-24*x + 48
Let h(c) = -1265*c + 731. Let p(f) = 633*f - 363. Let v(g) = -4*h(g) - 7*p(g). Find the first derivative of v(n) wrt n.
629
Let u = -220 + 227. Let t(z) = -194*z + 192. Let f(b) = 97*b - 96. Let x(y) = u*f(y) + 3*t(y). Differentiate x(v) wrt v.
97
Let t(n) = n**3 - 17*n**2 + 5*n - 83. Let v be t(17). Find the second derivative of -40*l**4 + 0*l + 135 + 5*l + 5*l**3 - 126 + 2*l**v - 5*l**3 wrt l.
-480*l**2 + 4
Let s(b) be the second derivative of 1244*b**4/3 + 2861*b**2 + 3608*b. What is the derivative of s(m) wrt m?
9952*m
Suppose 0 = 2*q - 10 - 8. Let r(t) be the first derivative of -14 - 5*t**2 - 3*t**2 + 4*t**2 - q*t + 10*t**2. What is the first derivative of r(u) wrt u?
12
Let o = -979 - -981. Let n(h) be the first derivative of 0*h**o + 9*h + 10/3*h**3 + 18. Find the first derivative of n(t) wrt t.
20*t
Find the second derivative of 8941*o - 8658*o**3 + 428971 - 428971 wrt o.
-51948*o
Let h(u) be the second derivative of 398*u**4/3 + 1284*u**2 + 19*u + 18. Find the first derivative of h(c) wrt c.
3184*c
Let s be (1 - 0) + 25 + 1. Let y be -1 + -3 - ((-60)/12 - 1). What is the third derivative of 26*p**y - 11*p**4 + s*p**2 - 29*p**2 wrt p?
-264*p
Suppose 271 + 199 = 5*a. Differentiate 12*k - 46 + 32*k - 30*k + a*k wrt k.
108
Let b = 411 + -406. Find the second derivative of -14*g**2 + 18*g**2 + 4 + 3*g**5 + 12*g**b - 5 + 86*g wrt g.
300*g**3 + 8
Suppose -11*g = -15*g - 136. Let w = g + 39. What is the second derivative of w*p**5 + 14*p + p**5 + 15*p wrt p?
120*p**3
Let p be ((-1)/(-2))/(72/2448). What is the derivative of -p*k - 19*k + 99 - 22 + 2*k**2 + 24 + 4*k wrt k?
4*k - 32
Let o = -122 + 127. What is the third derivative of 9*d**2 + 6 + 9*d**2 - 10*d**3 - o*d**2 - 2*d**4 - 1 wrt d?
-48*d - 60
Suppose 7*a - 44 = 4*a - 4*l, -2*a = 2*l - 32. Find the third derivative of -23*r**2 + 6*r**6 - 3*r**5 - 3*r**2 + 17*r**6 - a*r**6 wrt r.
360*r**3 - 180*r**2
Let l(b) be the second derivative of -1277*b**5/20 - 285*b**2 - 646*b. What is the first derivative of l(n) wrt n?
-3831*n**2
Let l(o) be the second derivative of 509*
|
{
"pile_set_name": "DM Mathematics"
}
|
x dps?
-0.000041
Round 0.10681255 to 4 decimal places.
0.1068
Round 0.1655402 to 1 dp.
0.2
What is 152660000 rounded to the nearest 100000?
152700000
What is 650.229 rounded to the nearest one hundred?
700
Round 873707.49 to the nearest one thousand.
874000
What is -15.636951 rounded to the nearest integer?
-16
Round -9752050 to the nearest 1000.
-9752000
What is -29430730 rounded to the nearest ten thousand?
-29430000
Round 16.79475 to 2 decimal places.
16.79
What is 1281.67 rounded to the nearest integer?
1282
Round -14061.1 to the nearest 1000.
-14000
What is -0.0003356386 rounded to 6 dps?
-0.000336
Round 0.000001312548 to seven decimal places.
0.0000013
Round 28661.496 to the nearest one hundred.
28700
What is 218345 rounded to the nearest 100?
218300
Round -0.4383492 to 3 decimal places.
-0.438
What is 0.0003959 rounded to 4 dps?
0.0004
Round 0.11191704 to four decimal places.
0.1119
Round 0.00006413849 to 6 decimal places.
0.000064
What is 0.02021313 rounded to 3 dps?
0.02
Round -0.002482987 to 4 dps.
-0.0025
What is 0.000478239 rounded to six dps?
0.000478
What is 459429.4 rounded to the nearest 10000?
460000
Round 2408.8643 to one dp.
2408.9
What is -0.05693 rounded to 3 dps?
-0.057
Round 0.00339255 to 3 dps.
0.003
What is -0.0000000714985 rounded to 7 decimal places?
-0.0000001
Round -24.83163 to the nearest integer.
-25
What is -227.9066 rounded to the nearest integer?
-228
What is -13168.96 rounded to the nearest ten?
-13170
Round -0.005295391 to four dps.
-0.0053
Round -634783 to the nearest 1000.
-635000
What is -51817 rounded to the nearest one hundred?
-51800
What is 17513255.6 rounded to the nearest 1000?
17513000
Round 2587.439 to the nearest 10.
2590
What is 0.0000256295 rounded to 6 decimal places?
0.000026
Round -753680 to the nearest 100000.
-800000
What is 0.00000467997 rounded to 7 dps?
0.0000047
Round -0.0198238 to 4 dps.
-0.0198
What is -0.453661 rounded to two dps?
-0.45
Round -38593.85 to the nearest one thousand.
-39000
Round -0.0000203561 to 7 decimal places.
-0.0000204
Round 647403800 to the nearest 1000000.
647000000
What is -182546.6 rounded to the nearest 10000?
-180000
Round -117.2 to the nearest 100.
-100
What is 18.8536 rounded to one dp?
18.9
What is -0.016379 rounded to 1 dp?
0
What is 1.54423 rounded to one decimal place?
1.5
What is -455360.88 rounded to the nearest one hundred thousand?
-500000
What is 54156.9 rounded to the nearest 100?
54200
Round 228782.9 to the nearest one thousand.
229000
What is 0.945045 rounded to two decimal places?
0.95
Round -0.004287761 to 3 dps.
-0.004
Round 0.1045641 to 3 decimal places.
0.105
What is -296612000 rounded to the nearest 1000000?
-297000000
What is 8124.501 rounded to the nearest ten?
8120
Round 0.011593893 to four decimal places.
0.0116
Round -0.000000459841 to seven dps.
-0.0000005
What is -82879.453 rounded to the nearest 10?
-82880
Round 8120369 to the nearest one million.
8000000
Round 0.015025618 to 4 dps.
0.015
What is -0.055846707 rounded to two dps?
-0.06
What is 0.731249 rounded to three decimal places?
0.731
Round -6471856000 to the nearest 1000000.
-6472000000
What is 0.00878482 rounded to five decimal places?
0.00878
What is 0.00000193435 rounded to seven decimal places?
0.0000019
What is -3.257772 rounded to three dps?
-3.258
Round 0.0014602908 to 4 dps.
0.0015
Round -0.4695853 to three dps.
-0.47
Round -0.158545 to 2 dps.
-0.16
What is 21.81899 rounded to 1 dp?
21.8
What is -0.835981 rounded to 0 dps?
-1
Round -1744.2 to the nearest 100.
-1700
Round 0.22442232 to four dps.
0.2244
What is -0.00029354755 rounded to 7 decimal places?
-0.0002935
What is -0.000046127 rounded to five dps?
-0.00005
What is 2358150 rounded to the nearest one thousand?
2358000
Round 4824.3167 to the nearest one thousand.
5000
Round -183.24313 to the nearest integer.
-183
Round -64.0075 to 0 decimal places.
-64
What is 81.6201 rounded to the nearest ten?
80
What is -112.6198 rounded to the nearest integer?
-113
What is 2421.53 rounded to the nearest 1000?
2000
What is 367000.3 rounded to the nearest 100000?
400000
What is 0.000371989 rounded to six dps?
0.000372
What is -1983.1 rounded to the nearest 100?
-2000
What is 0.9499232 rounded to one decimal place?
0.9
Round -270.91089 to 1 dp.
-270.9
What is -272868300 rounded to the nearest one million?
-273000000
Round 0.1298282 to 3 decimal places.
0.13
Round -1392.03 to the nearest ten.
-1390
Round -0.01551325 to 3 decimal places.
-0.016
Round -0.0004635147 to five decimal places.
-0.00046
Round -0.0000366556 to 7 decimal places.
-0.0000367
What is 1368317 rounded to the nearest 1000?
1368000
Round 1493807 to the nearest one thousand.
1494000
What is 7049.954 rounded to the nearest integer?
7050
What is 26700.207 rounded to the nearest 100?
26700
What is -0.0000358252 rounded to 7 decimal places?
-0.0000358
What is -7.53428 rounded to one decimal place?
-7.5
What is -1510153 rounded to the nearest 1000?
-1510000
Round -96060.8 to the nearest ten thousand.
-100000
What is 0.224258 rounded to 2 dps?
0.22
What is -0.00093576 rounded to four decimal places?
-0.0009
Round -0.000013159707 to 6 dps.
-0.000013
What is 904287.4 rounded to the nearest 10000?
900000
Round -13232.8 to the nearest one hundred.
-13200
Round -0.2870454 to three decimal places.
-0.287
What is -28.53731 rounded to 2 dps?
-28.54
Round -0.0002004647 to 7 dps.
-0.0002005
Round 62492980 to the nearest one hundred thousand.
62500000
What is -89574150 rounded to the nearest 100000?
-89600000
What is -0.000001048281 rounded to 7 decimal places?
-0.000001
What is 13372300 rounded to the nearest one hundred thousand?
13400000
What is 0.216642 rounded to 2 decimal places?
0.22
What is -21.578161 rounded to 0 decimal places?
-22
What is 6450.5228 rounded to the nearest 100?
6500
Round -19.57213 to 2 dps.
-19.57
What is 0.000000263883 rounded to seven decimal places?
0.0000003
What is 90426.3 rounded to the nearest 100?
90400
What is 0.240749 rounded to one dp?
0.2
Round 158954930 to the nearest 1000000.
159000000
Round -11601.76 to the nearest one thousand.
-12000
What is -0.00007086673 rounded to six dps?
-0.000071
What is 43464000 rounded to the nearest 10000?
43460000
Round 5069.35 to the nearest ten.
5070
What is -0.000354385 rounded to five dps?
-0.00035
Round 20032.8 to the nearest 1000.
20000
What is -0.000200601 rounded to 5 decimal places?
-0.0002
What is 0.8069753 rounded to one dp?
0.8
Round 0.00036263037 to 5 decimal places.
0.00036
Round 0.019544143 to five decimal places.
0.01954
Round -0.1709373 to three decimal places.
-0.171
Round 14420350 to the nearest one hundred thousand.
14400000
Round 0.1515145 to two dps.
0.15
Round 162096.8 to the nearest 100.
162100
What is 6633950 rounded to the nearest 100000?
6600000
What is 328192 rounded to the nearest 1000?
328000
Round 0.12804654 to 2 dps.
0.13
What is 376.21 rounded to the nearest one hundred?
400
Round -183232.48 to the nearest one hundred.
-183200
What is -5498.72 rounded to the nearest one thousand?
-5000
Round 0.00127355 to 4 dps.
0.0013
What is 18.796232 rounded to two dps?
18.8
What is -0.1799832 rounded to 3 dps?
-0.18
What is -0.002871749 rounded to 5 decimal places?
-0.00287
Round -10195.6572 to zero decimal places.
-10196
What is -0.21637586 rounded to 2 dps?
-0.22
Round -1004098 to the nearest ten thousand.
-1000000
What is -110.3593 rounded to the nearest integer?
-110
What is 0.0000045416 rounded to 6 decimal places?
0.000005
What is -0.0080266 rounded to 5 dps?
-0.00803
Round 0.000158086 to 7 dps.
0.0001581
Round 0.00035363999 to seven dps.
0.0003536
What is 0.000003327175 rounded to 7 dps?
0.0000033
What is -0.000014400852 rounded to 7 dps?
-0.0000144
What is 10.321878 rounded to two decimal places?
10.32
What is 3639350 rounded to the nearest 1000?
3639000
What is 0.1541864 rounded to 2 decimal places?
0.15
What is 1150.462 rounded to the nearest 10?
1150
What is 0.00209794 rounded to 5 dps?
0.0021
Round 0.000382669 to 6 dps.
0.000383
What is -1630820 rounded to the nearest one hundred thousand?
-1600000
Round 455771.97 to the nearest 1000.
456000
Round -0.06184976 to two dps.
-0.06
What is 18272.241 rounded to the nearest 1000?
18000
What is -0.2212779 rounded to three decimal p
|
{
"pile_set_name": "DM Mathematics"
}
|
f -1/180*q**5 + 0*q**3 + 1/72*q**4 + 0 + 0*q - q**2. Factor u(w).
-w*(w - 1)/3
Let q be (4/20)/(3/6). Factor -6/5*k - 4/5*k**2 - q.
-2*(k + 1)*(2*k + 1)/5
Let q = -6 + 10. Suppose q*j - 6 = j. Solve 2 + f - 4*f**3 + 6*f**2 + 4*f**3 - 7*f - j*f**3 = 0.
1
Let f(d) be the third derivative of d**8/1680 - d**6/180 + d**4/24 + d**3/3 - d**2. Let b(h) be the first derivative of f(h). What is t in b(t) = 0?
-1, 1
Let o(p) be the first derivative of -p**5/5 + p**4/2 - p**2 + p + 6. Suppose o(l) = 0. What is l?
-1, 1
Let x(o) be the second derivative of o + 4/45*o**6 + 1/9*o**3 + 0 + 4/15*o**5 + 5/18*o**4 + 0*o**2. Let x(l) = 0. What is l?
-1, -1/2, 0
Let d(w) be the first derivative of 7/6*w**3 - 1/4*w**2 + 0*w + 9/10*w**5 - 1 - 15/8*w**4. Find y, given that d(y) = 0.
0, 1/3, 1
Let f(c) be the second derivative of -c**6/30 - 3*c**5/20 - c**4/6 - 28*c. Solve f(v) = 0 for v.
-2, -1, 0
Let a = 9709/15 - 647. Let b(f) be the second derivative of 0*f**3 - 2*f + 0*f**2 - 1/18*f**4 - a*f**6 + 0 - 8/63*f**7 - 1/5*f**5. Factor b(g).
-2*g**2*(2*g + 1)**3/3
Let c(l) be the third derivative of -l**5/15 - l**4/2 - 4*l**3/3 - 4*l**2. Determine m, given that c(m) = 0.
-2, -1
Let c(h) = -h**4 + h**2 + 2*h + 2. Let j(a) = 4*a**4 - 4*a**2 - 11*a - 11. Let u(r) = 11*c(r) + 2*j(r). Factor u(v).
-3*v**2*(v - 1)*(v + 1)
Let n(v) be the first derivative of -v**5/15 - 4*v**4/3 - 32*v**3/3 - 2*v**2 - 1. Let c(t) be the second derivative of n(t). Factor c(o).
-4*(o + 4)**2
Let n(g) = -g**3 + 30*g**2 + 9*g. Let m(w) = -4*w**2 - 3*w**2 - 2*w + 0*w + w**2. Let s(h) = 11*m(h) + 2*n(h). Suppose s(c) = 0. What is c?
-2, -1, 0
Let s(v) be the first derivative of v**6/18 - 4*v**5/15 + v**4/3 + 2*v**3/9 - 5*v**2/6 + 2*v/3 - 12. Find p, given that s(p) = 0.
-1, 1, 2
Let t be 8/(-28) - (157/63 + -3). Factor -4/9*q**3 + 0*q**2 + 0*q**4 + 2/9*q**5 + t*q + 0.
2*q*(q - 1)**2*(q + 1)**2/9
Let x = 20 + -18. Factor 3 - 30*i + 0 + 24*i + 3*i**x.
3*(i - 1)**2
Suppose -d + 4 = 0, -5*d = 3*v - 17 - 18. Factor -14 + k**2 - 6*k - 2*k**2 + 0*k + v.
-(k + 3)**2
Let q(x) = -36*x**3 - 24*x**2 - 6*x + 2. Let l(o) = -o + 1. Let m(j) = -2*l(j) + q(j). Let m(a) = 0. What is a?
-1/3, 0
Suppose 0 = -5*s - 106 + 116. Factor -4/5*y - 2/5*y**s + 0.
-2*y*(y + 2)/5
Let s = 4 - -2. Let z(t) be the third derivative of 0*t - 1/120*t**5 + 0*t**3 + 0 + 0*t**4 - 1/420*t**7 + 1/120*t**s + 2*t**2. Find r such that z(r) = 0.
0, 1
Let h be (3/6)/((-2)/(-12)). Let q = 1 + h. Factor -1/3*v - 4/3*v**3 - 2/3 + 10/3*v**2 + 5/3*v**5 - 8/3*v**q.
(v - 1)**3*(v + 1)*(5*v + 2)/3
Let v(w) = -w**3 - 6*w**2 - 3*w - 5. Let r be v(-6). Let s = r - 9. Suppose f**5 - 3*f - 2*f**s + f**2 + 3*f + f**4 - f**3 = 0. What is f?
-1, 0, 1
Let g be (-3)/(-6) - (-7 - -3 - -4). Factor -1/2*q**3 + 0*q**2 + 0 + g*q.
-q*(q - 1)*(q + 1)/2
Let l(r) be the first derivative of r**6/12 + 2*r**5/5 + 3*r**4/4 + 2*r**3/3 + r**2/4 - 12. Factor l(p).
p*(p + 1)**4/2
Let l be -14*3/12*4/(-56). Let u(o) be the first derivative of -1/10*o**5 + l*o**4 + 1/2*o - 1/2*o**2 + 2 + 0*o**3. Suppose u(f) = 0. What is f?
-1, 1
Let w = 5 + -3. Factor -2*j**2 + w*j**3 + 4*j**2 + 2*j - 2*j.
2*j**2*(j + 1)
Let m(j) be the first derivative of 27/16*j**4 + 0*j + 5 + 3/8*j**2 - 5/4*j**3 + 1/4*j**6 - 21/20*j**5. Factor m(h).
3*h*(h - 1)**3*(2*h - 1)/4
Factor -1/3*c**2 + 1 - 2/3*c.
-(c - 1)*(c + 3)/3
Let u(v) be the third derivative of v**5/75 + v**4/10 - 8*v**3/15 - 2*v**2. Suppose u(m) = 0. What is m?
-4, 1
Let 8*u**2 - 10*u**2 - u + 9*u + 0*u - 6 = 0. What is u?
1, 3
Find u such that 0*u - 2/13*u**4 + 54/13 + 16/13*u**3 - 36/13*u**2 = 0.
-1, 3
Let j be (-1*2 - -2)/(1 + 1). Factor -1/3*h**2 - 5/6*h**3 + j*h - 1/2*h**4 + 0.
-h**2*(h + 1)*(3*h + 2)/6
Let x be ((-102)/(-4))/(12/16). Suppose -z = z - x. Let 4*p**2 - z*p**3 + 7*p**3 - 18*p**2 - 4*p = 0. Calculate p.
-1, -2/5, 0
Let z(d) be the second derivative of -d**4/6 + d**3/2 - 5*d**2/2 + 3*d. Let v(u) = -u + 1. Let g(i) = -5*v(i) - z(i). Find h, given that g(h) = 0.
-1, 0
Let n(j) be the second derivative of -j**5/120 - j**4/18 + 3*j. Let n(y) = 0. What is y?
-4, 0
Let o(i) be the third derivative of i**7/30 - 2*i**6/15 + i**5/15 - 9*i**2. Find s, given that o(s) = 0.
0, 2/7, 2
Suppose -q - 5*q = 0. Factor 2/3*c**5 + 0*c**4 + 0*c**2 + q + 2/3*c - 4/3*c**3.
2*c*(c - 1)**2*(c + 1)**2/3
Let k = -3 - 2. Suppose -5*i + 4 + 11 = 0. Let z(j) = -j**2 - j - 4. Let m(q) = -2*q**2 - q - 7. Let a(w) = i*m(w) + k*z(w). Factor a(o).
-(o - 1)**2
Solve -3*j**2 - 1688 + 1688 = 0 for j.
0
Let j = 17/93 + -1/62. Let t(f) be the second derivative of -1/12*f**4 + 0 - j*f**3 + 1/20*f**5 + 1/2*f**2 - f. Factor t(m).
(m - 1)**2*(m + 1)
Let p(u) be the second derivative of u**6/45 - u**5/15 - u**4/6 - 39*u. Solve p(h) = 0 for h.
-1, 0, 3
Let x(m) be the first derivative of m**4/6 - 3. Determine i, given that x(i) = 0.
0
Let l(c) be the third derivative of 1/420*c**7 + 0*c**4 + 0*c**6 + 3*c**2 + 0*c + 0*c**5 + 0*c**3 + 0 - 1/672*c**8. Determine y, given that l(y) = 0.
0, 1
Let l(w) = 5*w**3 + w**2 + w - 1. Let s be l(1). Suppose 4*r = x - s, r - 2 = -x - 1. Solve 0 + 0*v**4 + 0*v**x + 1/2*v - v**3 + 1/2*v**5 = 0 for v.
-1, 0, 1
Suppose 3*n - w - 2*w - 9 = 0, 3*w + 3 = n. Suppose 6 = -d + 2*a, -3*a + n + 6 = 5*d. Factor d + 2/3*j**3 + 4/3*j**2 + 2/3*j.
2*j*(j + 1)**2/3
Let s(b) be the first derivative of 0*b**3 - 6 + 0*b - 4/3*b**2 + 1/2*b**4 - 2/15*b**5. Factor s(c).
-2*c*(c - 2)**2*(c + 1)/3
Let z(t) = t + 1. Let c be z(-4). Let q be (c/18)/(3/(-9)). Find l, given that -2/3*l - 2/3 + 1/3*l**3 - 1/6*l**4 + q*l**2 = 0.
-1, 2
Suppose -y - 4 = -3*y. Let q(v) be the first derivative of 0*v + 0*v**y + 2/27*v**3 - 1. Let q(j) = 0. What is j?
0
Let a(w) be the second derivative of -w**4/42 + w**3/3 - 31*w. Find d such that a(d) = 0.
0, 7
Let j(q) be the first derivative of -q**4/12 + q**3/3 + q - 4. Let s(z) be the first derivative of j(z). Factor s(o).
-o*(o - 2)
Let s(n) be the first derivative of -4 - 8/7*n - 2/21*n**3 - 4/7*n**2. Determine y so that s(y) = 0.
-2
Let r be (-4)/(-240)*-1*-2. Let g(w) be the second derivative of -2/3*w**3 + 3*w - r*w**6 - 1/2*w**2 - 1/2*w**4 + 0 - 1/5*w**5. Factor g(x).
-(x + 1)**4
Factor 0*l**4 - 10*l**2 + 4*l + 3*l**4 + 2*l**4 - 7*l**4 + 8*l**3.
-2*l*(l - 2)*(l - 1)**2
Let h = 64/105 - -2/35. Let z(m) be the first derivative of m**2 + h*m**3 + 1 - 1/2*m**4 - 2*m. Factor z(l).
-2*(l - 1)**2*(l + 1)
Let j = -5 - -10. Factor 5*c**3 - 16*c**5 - 5*c**4 + 17*c**j - 1 - 10*c**2 + 5*c + 5*c**3.
(c - 1)**5
Let l(a) be the second derivative of -2*a**6/15 - 2*a**5/5 + 4*a**3/3 + 2*a**2 - 15*a. Factor l(q).
-4*(q - 1)*(q + 1)**3
Let j be 2 - ((-1)/(-1))/(-1). Let r(d) = -d + 3. Let n be r(0). Factor 2*s**3 + s**2 - n*s**j - 1 + s + 0*s**2.
-(s - 1)**2*(s + 1)
Let n be (6/1)/2 - 0. Factor -2*b**3 + 3*b**3 - 2*b**2 + n*b**2 + 0*b**3.
b**2*(b + 1)
Let g be (3/(-198))/((-2)/8). Let a = 37/66 - g. Let 7/4*k**3 - 7/4*k + a - 1/2*k**2 = 0. Calculate k.
-1, 2/7, 1
Let m = 367/3 - 121. Suppose -1/3*i**2 - m - 4/3*i = 0. What is i?
-2
Suppose 144 = -22*v + 25*v. Find g, given that 118*g**4 + 28*g**3 + v*g**5 - 6*g**2 - 38*g**4 - 4*g**2 + 2*g**2 - 4*g = 0.
-1, -1/2, 0, 1/3
Suppose 4*p - 2*t - 4 = 0, -2*p - t + 6 + 4 = 0. Suppose 3*u + p*g - 12 = 0, 3*u - 7 = -5*g + 13. Suppose -1/2*b + 1/2*b**2 + u = 0. Calculate b.
0, 1
Let p be (-6)/((-27)/(-6)*-7). Let s(r) be the second derivative of 0*r**2 + 0 + p*r**4 + 1/105*r**6 + 4/21*r**3 - 3*r + 1/14*r**5. Factor s(v).
2*v*(v + 1)*(v + 2)**2/7
Let t(q) be the first derivative of -q**4/36 + q**3/27 - 3. Solve t(m) = 0.
0, 1
Let r = -6249/7 - -893. Factor 4/7*y**3 - 2/7*y**4 - r*y - 2/7*y**5 + 4/7*y**2 - 2/7.
-2*(y - 1)**2*(y + 1)**3/7
Let v = -108 - -328/3. Let v*k**2 + 2/3*k**3 + 2/3*k + 0 = 0. Calculate k.
-1, 0
Let q(d) = -d**3 + 16*d**2 + 17*d + 3. Let s be q(17). Let g(k) be the second derivative of k**2 + 0 - 1/6*k**4 + k - 1/3*k**s + 1/10*k**5. Factor g(t).
2*(t - 1)**2*(t + 1)
Let b(n) = 9*n**4 - 6*n**3 + 21*n**2 + 6. Let t(g) = -26*g**4 + 19*g**3 - 62*g**2 + g - 17. Let x(j) = 17*b(j) + 6*t(j). Let x(i) = 0. Calculate i.
0, 1, 2
Let g = 2/627 - -1873/2508. Solve -g*s**2 - 1/2 - 5/4*s + 1/4*s**4 + 1/4*s**3 = 0 for s.
-1, 2
Suppose -6*k = 51 - 3. Let a be (-75)/(-63) - k/56. Factor 0*w**2 - a*w**3 -
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{
"pile_set_name": "DM Mathematics"
}
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y**2 + 19*y**2 - 18*y**2. Let n(x) = 2*x - 4. Let d(j) = 14 - 7 + 3*j - 8 - 6. Let q(g) = -4*d(g) + 7*n(g). Calculate i(q(b)).
32*b**2
Let f(b) = 2222*b. Let x(j) = -2*j - 3. Let u(r) = 32*r + 52. Let s(t) = 3*u(t) + 52*x(t). Calculate f(s(k)).
-17776*k
Let n(a) = 2*a. Let z(q) = 2*q**2 - 3214003*q. What is n(z(c))?
4*c**2 - 6428006*c
Let q(y) = -2*y + 33 + 44 - 101 + 24. Let h(m) = 6*m + 114. Let k(o) = -4*o - 76. Let i(c) = 5*h(c) + 8*k(c). Determine q(i(j)).
4*j + 76
Let w = 1693 - 4. Let x(m) = w - 1689 + 4*m. Let z(l) = l + 7. What is z(x(c))?
4*c + 7
Let n(x) = 3*x. Let j(k) = -2113*k - 45. Let r(g) = 1056*g + 27. Let o(d) = -3*j(d) - 5*r(d). What is o(n(u))?
3177*u
Let p(d) = -175616*d. Let t(r) = 5*r - 12. Give t(p(w)).
-878080*w - 12
Let d(c) = c + 0*c - c + c - 3. Let o(w) = -w - 4. Let k(j) = 2*d(j) + o(j). Let z(n) = 2*n**2. Determine k(z(b)).
2*b**2 - 10
Let o(t) = 349*t**2 - 3*t + 5. Let s(x) = -353*x**2 + 2*x - 4. Let a(v) = 4*o(v) + 5*s(v). Let j(p) = -p. Determine j(a(i)).
369*i**2 + 2*i
Let z(q) be the third derivative of q**4/24 - 2*q**2. Let r(y) = 2*y - 8581 - 8*y - 4*y + 8581. Calculate z(r(w)).
-10*w
Let q(p) = p + 191. Let u(c) = -4*c + 4923. Give q(u(d)).
-4*d + 5114
Let p(v) be the second derivative of -13*v**4/4 - 243*v. Let k(o) = 5*o**2. Give k(p(t)).
7605*t**4
Let g(r) = -599471*r**2. Let c(k) = -25*k**2. Determine g(c(v)).
-374669375*v**4
Suppose 0 = 2*a + 5*q - 46 + 76, -5*a + q = -6. Let d(z) be the second derivative of 0 - 16*z + a*z**2 + 2/3*z**3. Let g(j) = 7*j**2. Give g(d(u)).
112*u**2
Let u(r) = 2504*r**2 - 40*r + 40. Let t(y) = -189*y**2 + 3*y - 3. Let o(n) = 80*t(n) + 6*u(n). Let c(l) = 11*l - 3. Determine o(c(v)).
-11616*v**2 + 6336*v - 864
Let z = -1874 - -1874. Let r(f) be the second derivative of -24*f + z*f**2 + 0 + 1/6*f**3. Let o(y) = 6*y. Give o(r(d)).
6*d
Let k(s) = 2*s**2 - 127*s. Let l(n) be the first derivative of -n**2 - 2125. Calculate k(l(a)).
8*a**2 + 254*a
Let d(w) be the first derivative of -w**2 + 66*w - 5232. Let o(m) = -16*m**2. Give o(d(a)).
-64*a**2 + 4224*a - 69696
Let i(h) be the first derivative of 0*h + 0*h**3 - 1/12*h**4 + 15 + 7/2*h**2. Let p(j) be the second derivative of i(j). Let a(r) = -2*r**2. Determine a(p(k)).
-8*k**2
Let o(f) = 199*f. Let t(z) = 38*z + 43*z - 127*z - 3*z**2 + 46*z. Give o(t(h)).
-597*h**2
Let p(u) = 1473*u. Let t(w) = 26*w - 1372. What is t(p(i))?
38298*i - 1372
Let i(y) = 123*y. Let k(w) = w**3 + 17*w**2 - 37*w + 21. Let c be k(-19). Let t(o) = 1169 - 1169 + c*o - 3*o. Give i(t(a)).
-123*a
Let s(i) = 22*i**2. Let c(l) = -10*l**2 - 628*l + 128. Let g be c(-63). Let o(v) be the second derivative of 34*v - 1/6*v**3 + 0*v**g + 0. Determine o(s(y)).
-22*y**2
Let u(x) = 5*x**2 + 6. Let v(g) = 60*g**2 - 2629*g + 70 + 2629*g. Let l(m) = -35*u(m) + 3*v(m). Let f(t) = -20*t. Calculate l(f(b)).
2000*b**2
Suppose -3*f - 24 = -3*v, -5*v - 4*f + 2 = -74. Let u(b) = -v + b**2 + 12. Let t(g) be the first derivative of -10*g**3/3 - 45. Give t(u(p)).
-10*p**4
Let f(n) = n**2. Let l(c) = 91 - 41 - 61 - 19*c. Give f(l(v)).
361*v**2 + 418*v + 121
Let r(w) = 145926025*w. Let v(a) = a**2. What is r(v(y))?
145926025*y**2
Let z(n) = 3*n**2. Let s(f) = 119*f**2 + 2*f - 63197. What is s(z(d))?
1071*d**4 + 6*d**2 - 63197
Let p be (-864)/63*(0 + -7). Let t = -75 + p. Let a(g) = g**2 - 41 + t + 20. Let h(m) = 3*m**2. What is a(h(o))?
9*o**4
Let v(q) be the first derivative of q**4/12 + 234*q + 251. Let o(i) be the first derivative of v(i). Let y(t) = 2*t. Give o(y(s)).
4*s**2
Let q(s) = -2*s**2. Let f(z) be the second derivative of 31*z**4/24 + z**3/3 - 5*z**2 + 62*z. Let i(p) be the first derivative of f(p). What is q(i(w))?
-1922*w**2 - 248*w - 8
Let g(w) = -37*w**2 + 3*w**2 + 32*w**2. Let s(h) = 4812*h. What is g(s(a))?
-46310688*a**2
Let l(w) = -2*w**2 + 365. Let o(b) = 855*b + 860*b - 1714*b. Determine o(l(f)).
-2*f**2 + 365
Let l(z) = 5368*z. Let s(y) = -347*y**2. What is s(l(a))?
-9998952128*a**2
Let z(p) = 1518*p. Let q(d) be the third derivative of d**5/60 - 10*d**2 - 126*d. Calculate q(z(y)).
2304324*y**2
Let m(h) = 248*h. Let d(z) = -148179*z. Calculate d(m(i)).
-36748392*i
Let s(k) = -k - 11. Let u(b) = 22. Let g(v) = 2*s(v) + u(v). Let n(l) = -2548*l**2. Calculate g(n(q)).
5096*q**2
Let x(b) = b - 7*b - 2*b - 19*b - 7*b + 36*b. Let k(d) = 22*d - 5 + 5 - 4*d**2. Calculate k(x(z)).
-16*z**2 + 44*z
Let z(o) = o**2. Let w(m) be the second derivative of 37*m**5/30 - 65*m**2/2 - 127*m. Let y(x) be the first derivative of w(x). Determine y(z(j)).
74*j**4
Let l(m) = m**2 - 1. Let v(o) be the first derivative of -o**4/12 + 11*o**2 - 65. Let p(n) be the second derivative of v(n). What is l(p(f))?
4*f**2 - 1
Let n(i) = 15612*i**2. Let t(g) = -951*g. Calculate n(t(q)).
14119508412*q**2
Let t(r) = -1020*r**2. Let n(m) be the first derivative of -m**2/2 - 1756. Determine n(t(f)).
1020*f**2
Let w(m) = 6*m**2 - 5*m. Suppose -18*r - 5*r + 46 = 0. Let j(z) = r*z - 2*z - 2229*z**2 + 2230*z**2. Give j(w(q)).
36*q**4 - 60*q**3 + 25*q**2
Let j(y) = -2*y. Let z(r) be the second derivative of 1841*r**4/12 + 663*r. Calculate z(j(t)).
7364*t**2
Let t(n) = -9*n. Let z(y) be the third derivative of -y**7/720 + y**5/15 + y**3/6 + 46*y**2 + 2*y. Let s(a) be the third derivative of z(a). Calculate s(t(k)).
63*k
Let d(p) = -70 - 10 - 55*p - 51 + 131. Let c(j) = 7*j + 12. Determine d(c(k)).
-385*k - 660
Suppose -10*u + 60 + 30 = 0. Let x(w) = u*w - 9 - 5 + 27*w + 14. Let i(b) = 3*b. Determine x(i(g)).
108*g
Let o(k) = 6*k. Let n = -4 - -20. Let z be 384/(-6)*-1*n. Let g(r) = -z*r + 7*r**2 + 1024*r. Give g(o(i)).
252*i**2
Let c be ((-442)/(-51) + -8)/((-4)/(-18)). Let d(b) be the second derivative of -19*b + 0*b**2 - 29/12*b**4 + 0*b**c + 0. Let t(n) = -2*n**2. Determine t(d(s)).
-1682*s**4
Let m(t) = 44794*t - 2. Let g(p) = 2*p + 30. Calculate g(m(o)).
89588*o + 26
Let n(a) = 49*a + 44. Let h(r) = 48*r + 55. Let l(f) = 4*h(f) - 5*n(f). Let s(w) = -9*w + 4. Give l(s(u)).
477*u - 212
Let i(a) = 4*a**2. Let s(l) be the third derivative of 0*l + 1/6*l**3 - 15*l**2 + 0. Let u(c) = 9*c**2 - 1. Let g(n) = s(n) + u(n). What is g(i(m))?
144*m**4
Let t(g) = 34*g**2 + 26*g**2 - 131*g**2 + 41*g**2 + 27*g**2. Let d(c) be the third derivative of 11*c**5/60 + 2*c**2. What is d(t(l))?
99*l**4
Let u(t) be the first derivative of -3*t**2/2 + 813. Let a(f) = -11*f. Let v(j) = 10*j + 1. Let s(c) = -6*a(c) - 7*v(c). Give u(s(h)).
12*h + 21
Let r(n) = -10*n. Let z(m) = -9 + 55 + 54 - 17 + 2*m - 2. Calculate r(z(k)).
-20*k - 810
Let c(v) = 2*v. Let h(k) = k + 3. Let i(r) = -62 + 18 + 0*r - 10*r - 5. Let o(x) = -5*h(x) - i(x). Calculate c(o(y)).
10*y + 68
Let p(s) be the first derivative of 5*s**2/2 - 8*s + 27. Let c(j) = -7*j - 5. Let a(u) = 20*u + 14. Let d(q) = -5*a(q) - 14*c(q). What is p(d(t))?
-10*t - 8
Let g(o) = 54896884*o**2. Let d(m) = -10*m. What is d(g(y))?
-548968840*y**2
Let a(c) = 2*c. Let n(i) = -17*i - 742996. Give n(a(d)).
-34*d - 742996
Let b(i) = i**2 + 6*i. Let a(c) be the first derivative of 29*c**2 + 2*c**3 - 29*c**2 + 51 - c**3. What is a(b(v))?
3*v**4 + 36*v**3 + 108*v**2
Let j(p) = -5*p. Let u(a) = -413*a - 40. Let i(t) = -4750*t - 456. Let w(q) = -5*i(q) + 57*u(q). Calculate w(j(c)).
-1045*c
Let x(u) = u**2 + 1879*u. Let v(s) = 207*s - 1. Give x(v(l)).
42849*l**2 + 388539*l - 1878
Let c(g) = 2*g**2. Let w(m) = -105189791*m. What is w(c(s))?
-210379582*s**2
Let f(a) = -6*a + 3. Let b(m) = 3*m + 190599. Give b(f(q)).
-18*q + 190608
Let y(m) be the third derivative of m**5/60 + 3*m**2 + 6*m. Let p = -5 + 7. Let z(a) = -a**p + 0*a**2 + 7*a**2. What is y(z(w))?
36*w**4
Let a(i) = -14*i - 16*i + 18*i - 2*i. Let h(u) be the third derivative of -u**6/240 - u**4/24 - 4*u**2. Let d(r) be the second derivative of h(r). Give d(a(z)).
42*z
Let x(p) = 3*p. Let w(v) be the first derivative of -v**2 + 83*v + 8699. Calculate w(x(z)).
-6*z + 83
Let z(h) be the second derivative of -507*h - 1/6*h**3 + 0 + 0*h**2. Let m(i) be the first derivative of 3*i**2 - 13*i + 1. Determine m(z(u)).
-6*u - 13
Let i(y) = 4586*y**2 - 7*y + 28. Let j(u) = -2293*u**2 + 3*u - 12. Let o(t) = 3*i(t) + 7*j(t). Let w(a) = 2*a. Determine w(o(r)).
-4586*r**2
Suppose 5*w + 0*w - 10 = 0. Let m(j) = -w*j**2 + 35821 - 35821. Let r(f) be
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{
"pile_set_name": "DM Mathematics"
}
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- 1
Let f(m) = m + 1. Let q(j) be the third derivative of j**6/60 + j**5/60 + j**4/6 + j**3/3 + 19*j**2. What is 2*f(a) - q(a)?
-2*a**3 - a**2 - 2*a
Let r(m) = 2*m - 9. Let c(i) = i - 4. Let b(y) = -y**2 - y + 1. Let d be b(0). Let f be (-1 - -2)/(d/(-5)). Let v = 2 + 0. Calculate f*c(w) + v*r(w).
-w + 2
Let f(a) = -6*a**3 - 4*a**2 - 7*a + 3. Let h(x) = -3*x - 3*x**2 + 3 - 1 - 3*x - 5*x**3. Calculate 3*f(t) - 4*h(t).
2*t**3 + 3*t + 1
Let y be (-16)/(-36)*(-18)/(-4). Let w(n) be the first derivative of y*n**2 + 1/3*n**3 - 1 - 7*n. Let k(l) = -l**2 - 5*l + 8. Give -5*k(f) - 6*w(f).
-f**2 + f + 2
Let o(a) = -9*a**3 - 13*a**2 + 5*a + 5. Let i(r) = -2*r**3 + r**2 + r - 2. Let z be i(1). Let f(p) = 4*p**3 + 6*p**2 - 2*p - 2. Determine z*o(w) - 5*f(w).
-2*w**3 - 4*w**2
Let s(v) = 7*v**3 - 5 - 4*v**2 - v - 2*v + 0*v**2 + 0*v. Let h(i) = -6*i**3 + 3*i**2 + 2*i + 4. Determine -5*h(g) - 4*s(g).
2*g**3 + g**2 + 2*g
Let i(u) = 4*u + 1. Let r(b) = -23*b - 5. Calculate -34*i(v) - 6*r(v).
2*v - 4
Let d(r) = -6*r + 7. Suppose -j + 4*j - 21 = 0. Let k(l) = 5*l - 6 + 0 + 0. Determine j*k(f) + 6*d(f).
-f
Suppose -15 = -3*m, 3*b - 2*b - 3*m = -19. Let c(q) = -q**3 + 4*q**2 + 2*q - 6. Let u(r) = r**2 - 1. Calculate b*u(v) + c(v).
-v**3 + 2*v - 2
Let m(t) be the second derivative of -t**5/20 + t**4/6 - t**3/3 + t**2 - 12*t. Let q(v) = -4*v**3 + 9*v**2 - 9*v + 9. Determine 9*m(b) - 2*q(b).
-b**3
Let t(l) = l**3 + 5*l**2 + 6*l. Let h be t(-4). Let g(p) = -p**2 + p + 1. Let o(i) = 6*i**2 - 8*i - 8. What is h*g(d) - o(d)?
2*d**2
Let u(h) = -212*h + 11. Let b(d) = -53*d + 3. Give 22*b(k) - 6*u(k).
106*k
Let x(c) = 3*c. Let u(y) = 2*y - 23. Let s be u(12). Let v(o) = -o + 1. Let q(k) = -6*k + 5. Let f(h) = -q(h) + 5*v(h). Calculate s*x(m) - 4*f(m).
-m
Let b(l) = -3*l**3 + 6*l**2 - 4*l + 4. Let g(p) be the third derivative of -p**6/24 + 11*p**5/60 - 7*p**4/24 + 7*p**3/6 + 2*p**2. Give 7*b(j) - 4*g(j).
-j**3 - 2*j**2
Let k(p) be the first derivative of p**3 - 11*p**2/2 + 11*p - 1. Let m(o) = -o**2 + 4*o - 4. Suppose 18*h - 15 - 183 = 0. What is h*m(i) + 4*k(i)?
i**2
Let x(y) = -y - 3. Let i(b) be the third derivative of -b**4/4 - 8*b**3/3 + b**2. Let c be -1 + (-16)/(-6)*(-9)/(-6). Determine c*i(g) - 16*x(g).
-2*g
Let y(j) = -7*j**3 - 6*j**2 - 9*j - 6. Let i(h) = -20*h**3 - 17*h**2 - 27*h - 17. Give -6*i(u) + 17*y(u).
u**3 + 9*u
Let o(k) = -4558*k + 301. Let t(z) = -76*z + 5. Calculate 5*o(v) - 301*t(v).
86*v
Let c(i) = -4*i - i - 7 - 3*i. Let h(y) = y + 1. What is c(n) + 5*h(n)?
-3*n - 2
Let c(o) = 2*o + 7. Let q(u) = 7*u + 28. What is 9*c(x) - 2*q(x)?
4*x + 7
Let n(x) = -7*x**3 - 7*x**2 - 9*x - 5. Let i(q) = 6*q**3 + 6*q**2 + 8*q + 4. Calculate 5*i(z) + 4*n(z).
2*z**3 + 2*z**2 + 4*z
Let q(b) = b**3 + b - 1. Let h(a) = -14*a**3 + 2*a**2 - 10*a + 10. What is h(p) + 10*q(p)?
-4*p**3 + 2*p**2
Let m(q) be the first derivative of q**2/2 - q + 3. Let r be -2 + 4 + (1 - 1). Let z(s) = 2 - r*s + 2 - s - s. What is -5*m(v) - z(v)?
-v + 1
Let g(q) = -5*q + 0 + 8*q**2 + 0. Suppose 2*k = 2*m + 152, 2*m - 4*k + 0*k + 150 = 0. Let d be 41/7 - 11/m. Let w(f) = 9*f**2 - 6*f. Determine d*w(t) - 7*g(t).
-2*t**2 - t
Let c(v) be the second derivative of -v**2 - v. Let d(r) be the third derivative of -r**4/24 - 5*r**3/6 + 11*r**2. Calculate 5*c(f) - 2*d(f).
2*f
Let c(s) = -2*s + 0*s + 6*s. Let n(b) = 5*b - 1. Let w be 1/(-2)*4*1. Give w*n(d) + 3*c(d).
2*d + 2
Let m = 0 + 2. Let w(t) = t - 4 - 3*t - m*t. Let z(o) = 9*o + 8. Let n(y) = -7*w(y) - 3*z(y). Let s(c) = c + 3. What is -5*n(j) + 7*s(j)?
2*j + 1
Suppose -24 - 21 = -5*t. Let c(d) = 3*d**3 + 2. Let q(u) be the third derivative of -13*u**6/120 - 3*u**3/2 - 11*u**2. Give t*c(g) + 2*q(g).
g**3
Let d(i) = 13*i**2 + 7*i - 6. Let r = 34 - 13. Suppose 0*f + r = 3*f. Let y(b) = -4*b**2 - 2*b + 2. What is f*y(g) + 2*d(g)?
-2*g**2 + 2
Let i(f) = f**2. Let n(a) = -5*a**2 + 2*a + 1. Let u be n(-1). Let x(o) = 5*o**2 - 2*o. Give u*i(b) + x(b).
-b**2 - 2*b
Let w(u) = 3*u**2 - 3*u. Let g(v) = -13*v**2 + 13*v. What is -4*g(x) - 18*w(x)?
-2*x**2 + 2*x
Suppose -3*t = -4*t + 13. Let v(u) = -2*u - 2*u + t - 11*u**2 + 0 - 9*u. Let o(b) = -5*b**2 - 6*b + 6. Calculate -13*o(l) + 6*v(l).
-l**2
Let z(a) = 8*a**2 - 4*a. Let h(p) = -17*p**2 + 9*p. Let w = -45 + 51. Determine w*h(b) + 13*z(b).
2*b**2 + 2*b
Let n(v) = -5*v**3 - 2*v + 4. Let q(z) = 5*z**3 + 3*z - 5. Determine -5*n(h) - 4*q(h).
5*h**3 - 2*h
Let j(l) be the second derivative of -3*l**3/2 + 5*l**2/2 + 5*l. Let x(m) = -14*m + 8. Calculate -8*j(c) + 5*x(c).
2*c
Let d(g) = g**2 + 6. Let o(b) = 1. Let h be (((-16)/(-6))/8)/(2/(-6)). Calculate h*d(n) + 6*o(n).
-n**2
Let x(k) = -k**2 - 1. Let q(j) = -16*j**3 - 24*j**2 - 24. Determine q(t) - 24*x(t).
-16*t**3
Let q(z) = -2*z - 16. Let j(x) = -x - 9. Let l(h) = 11*j(h) - 6*q(h). Let w(v) = -v + 2. What is -6*l(n) - 7*w(n)?
n + 4
Let g(y) = -874*y. Let v(d) = -38*d. Calculate 5*g(f) - 114*v(f).
-38*f
Let g(m) = 5*m**2 + 4*m + 4. Let q(s) = -5*s**2 - 3*s - 3. Let v be (28/(-12) - -2)/((-2)/(-18)). What is v*g(k) - 4*q(k)?
5*k**2
Let l(o) = o**3 + 4*o**2 + o. Let z be l(-3). Let j(d) = z*d - 12*d + 7*d. Suppose -3 = -2*p - 1. Let s(v) = 2*v. What is p*s(m) - j(m)?
m
Let g(t) = t. Let l(y) = 5*y**2 - 4*y - 2. Let q(b) = -11*b**2 + 9*b + 4. Let z(v) = 5*l(v) + 2*q(v). Calculate 2*g(f) + z(f).
3*f**2 - 2
Let b(u) = -3*u**2 - u - 9. Let l(p) = p**2 + 4. Determine 3*b(s) + 7*l(s).
-2*s**2 - 3*s + 1
Let f(i) = 2*i**3 + 5*i**2 + 5*i. Let d be (-7)/35 - (52/(-10) - -1). Let b(t) = -2*t**3 - 6*t**2 - 6*t. Give d*b(v) + 5*f(v).
2*v**3 + v**2 + v
Let t(y) = y**2 - 8*y - 2. Let n(c) = -3*c**2 + 15*c + 4. Give 6*n(b) + 11*t(b).
-7*b**2 + 2*b + 2
Let n(q) = q**2 + q. Let m(c) = 4*c + 1. Suppose z = 6*z - 15, 3 = 2*j - z. Let s be (1*-2)/4*-2. Let u = s - j. Determine u*n(w) + m(w).
-2*w**2 + 2*w + 1
Let l(k) = k + 5. Let w(z) = 1. Determine l(a) + w(a).
a + 6
Let m(p) = 9*p. Let w(z) = 14*z. Give 8*m(i) - 5*w(i).
2*i
Let v(u) = u**2 + u. Suppose 5*q = -30 + 35. Let i(w) = w + 1. Let r be i(-5). Let f(o) = 5*o**2 + 5*o. Calculate q*f(l) + r*v(l).
l**2 + l
Suppose -w + 1 + 4 = 0. Let b(g) be the first derivative of -2*g**3/3 + g**2 - 5*g + 5. Let x(v) = 3*v**2 - 2*v + 6. What is w*b(c) + 4*x(c)?
2*c**2 + 2*c - 1
Let u(a) = -a + 16. Let g(s) = -s + 17. Determine 7*g(j) - 6*u(j).
-j + 23
Let a(z) = z**2 - 3*z + 7. Let f(u) = 2*u**2 - 2*u + 6. Determine -2*a(b) + 3*f(b).
4*b**2 + 4
Let b(h) = -2*h + 4. Let t(d) = 6*d - 20 + 10 - 3. What is -7*b(x) - 2*t(x)?
2*x - 2
Let t(c) = 8*c + 1. Let a(b) = 7*b + 1. What is 4*a(y) - 3*t(y)?
4*y + 1
Let s(t) = 2*t - 3. Let c(x) = 50*x - 109*x + 48*x + 17. What is 6*c(f) + 34*s(f)?
2*f
Let x(r) = 2*r**3 + r**2 - 5*r - 3. Let b(z) = 0 + z - 3 + 2 + 2. Give 3*b(g) + x(g).
2*g**3 + g**2 - 2*g
Let x(v) = 2*v**3 + 12*v**2 - 3. Let q(o) = -3*o**3 - 13*o**2 + 4. What is -3*q(a) - 4*x(a)?
a**3 - 9*a**2
Let z(l) = -5*l**3 - 4*l**2 + 5*l + 5. Let g(p) = p**2 - p - 1. Give -5*g(r) - z(r).
5*r**3 - r**2
Let w(v) = 6*v. Let y(j) be the third derivative of -7*j**4/24 + j**2. Suppose 3*c - 18 = -0*c. Calculate c*w(s) + 5*y(s).
s
Let g(x) = -9*x**3 + 9*x**2 - 9*x. Let i(y) = -5*y**3 + 4*y**2 - 4*y. Determine -4*g(d) + 9*i(d).
-9*d**3
Let t(n) = -n + 1. Let j(u) = -3*u - 8. Let k(y) = -7*y - 17. Let c(z) = 13*j(z) - 6*k(z). Calculate 3*c(h) + 6*t(h).
3*h
Let s(b) = -162*b - 36. Let f(r) = -23*r - 5. What is -36*f(w) + 5*s(w)?
18*w
Let o(f) = -f. Let r(b) = 2*b. Let h(a) = 11*o(a) + 6*r(a). Let n(l) = 8*l - 2. Let s(j) = j**2 + 13*j. Let d be s(-10). Let x = d + 20. What is x*h(w) + n(w)?
-2*w - 2
Let b(y) = -40*y + 39. Let v be b(1). Let d(a) = a**3 + a**2 - a. Let u = -6 + 4. Let x(q) = -q**3 - 3*q**2 + 2*q. What is u*d(r) + v*x(r)?
-r**3 + r**2
Let x(i) = -7*i**3 - 3*i**2 + 3*i - 3. Let d(n) = 76*n**3 + 32*n**2 - 32*n + 32. Suppose -2*f = 2*h + 4, 2*f = -h - 1 + 2. What is f*d(l) + 32*x(l)?
4*l**3
Let b(m) be the first derivative of m**4 + 2*m**3/3 + m**2 - 1. Let p(t) = -2*t**3 - t**2 - t. Let x be (-4 - 2)*(-1)/(-1). What is x*b(i) - 13*p(i)?
2*i**3 + i**2 + i
Let z(m) = 2*m**3 - 2*m**2 - 2*m + 1. Let y(n) = -8*n**3 + 9*n**2 + 8*n - 3. Determine -2*y(a) - 9*z(a).
-2*a**3 + 2*a - 3
Suppose 0 = -m - 3*u + 8, 5*m + u = -9 - 21. Let r(i) = -i + 4. Let p(z) =
|
{
"pile_set_name": "DM Mathematics"
}
|
e?
3750
How many years are there in 1/20 of a century?
5
What is 2814.277kg in milligrams?
2814277000
How many millilitres are there in 11/2 of a litre?
5500
How many milliseconds are there in 0.8290929 nanoseconds?
0.0000008290929
How many seconds are there in one ninth of a hour?
400
How many meters are there in 630.1361cm?
6.301361
What is 0.402672 millennia in centuries?
4.02672
How many seconds are there in 1/9 of a hour?
400
Convert 679835.8 millennia to centuries.
6798358
How many millimeters are there in 18/5 of a meter?
3600
What is 18/5 of a centimeter in millimeters?
36
How many millilitres are there in 53/4 of a litre?
13250
What is 76/5 of a decade in months?
1824
What is 3/32 of a millimeter in nanometers?
93750
How many micrometers are there in twenty-five halves of a millimeter?
12500
What is 45/2 of a millennium in decades?
2250
Convert 49.36396mm to nanometers.
49363960
What is 3/5 of a litre in millilitres?
600
How many months are there in three eighths of a millennium?
4500
What is 687558.2cm in kilometers?
6.875582
How many milligrams are there in thirteen eighths of a gram?
1625
What is seven thirds of a hour in minutes?
140
What is thirteen fifths of a gram in milligrams?
2600
Convert 6.874314 millilitres to litres.
0.006874314
How many meters are there in fourty-one halves of a kilometer?
20500
Convert 853.3148 years to centuries.
8.533148
What is 414.5531 days in seconds?
35817387.84
How many microseconds are there in 6/5 of a millisecond?
1200
Convert 0.8228145 microseconds to minutes.
0.000000013713575
What is 6.385944 months in years?
0.532162
How many millilitres are there in 1/4 of a litre?
250
How many decades are there in 26/5 of a century?
52
How many months are there in 1/60 of a century?
20
How many grams are there in three fifths of a kilogram?
600
How many months are there in one quarter of a millennium?
3000
What is eighty-eight fifths of a centimeter in millimeters?
176
How many kilometers are there in 0.6478456 micrometers?
0.0000000006478456
Convert 762952.6 litres to millilitres.
762952600
Convert 24.37343 centimeters to nanometers.
243734300
How many litres are there in 39.02797 millilitres?
0.03902797
What is twenty-three eighths of a gram in milligrams?
2875
How many nanograms are there in fourty-nine quarters of a microgram?
12250
What is eleven halves of a millennium in months?
66000
What is three fifths of a litre in millilitres?
600
What is 170.0965 years in centuries?
1.700965
How many litres are there in 2481.473 millilitres?
2.481473
Convert 59.91424 millennia to decades.
5991.424
How many nanograms are there in 2/125 of a microgram?
16
What is 3/10 of a millennium in years?
300
What is 513.5052 micrometers in kilometers?
0.0000005135052
How many micrograms are there in 525974.6mg?
525974600
What is 895613.9mm in nanometers?
895613900000
What is five quarters of a millennium in months?
15000
Convert 4312.2195us to hours.
0.00000119783875
How many centimeters are there in 1/20 of a kilometer?
5000
How many hours are there in 37.552536 nanoseconds?
0.00000000001043126
How many millilitres are there in 37/5 of a litre?
7400
What is 11/4 of a litre in millilitres?
2750
What is five sixths of a decade in months?
100
How many years are there in six fifths of a century?
120
How many seconds are there in 925087.7 weeks?
559493040960
What is 4269.388 litres in millilitres?
4269388
Convert 0.0169266s to minutes.
0.00028211
What is 44/5 of a centimeter in micrometers?
88000
How many centimeters are there in 1/5 of a meter?
20
What is 871264.4l in millilitres?
871264400
How many millilitres are there in 5863.645 litres?
5863645
How many milligrams are there in 7/4 of a gram?
1750
What is six fifths of a kilometer in meters?
1200
What is 3/5 of a century in decades?
6
How many decades are there in 17/4 of a millennium?
425
What is 3/10 of a tonne in kilograms?
300
How many years are there in 29/2 of a millennium?
14500
Convert 0.4939712g to milligrams.
493.9712
What is 3/16 of a week in minutes?
1890
What is twenty-five quarters of a meter in millimeters?
6250
What is 31/5 of a century in decades?
62
How many nanograms are there in 25/4 of a microgram?
6250
What is 44/5 of a gram in milligrams?
8800
What is 17/4 of a microgram in nanograms?
4250
What is 846.472 grams in kilograms?
0.846472
What is 55.074141 milliseconds in hours?
0.0000152983725
How many millilitres are there in one fifth of a litre?
200
What is 39564.35 hours in milliseconds?
142431660000
How many microseconds are there in 3/32 of a second?
93750
Convert 471.8439nm to meters.
0.0000004718439
What is three tenths of a tonne in kilograms?
300
What is 15/4 of a year in months?
45
Convert 729141.4ng to tonnes.
0.0000000007291414
What is 0.8713735 litres in millilitres?
871.3735
How many millilitres are there in 11/8 of a litre?
1375
How many micrograms are there in twenty-seven halves of a milligram?
13500
What is 5/8 of a millimeter in micrometers?
625
What is one fifth of a microgram in nanograms?
200
Convert 2.116303mm to centimeters.
0.2116303
What is 51/2 of a century in years?
2550
Convert 83.14255ml to litres.
0.08314255
How many milligrams are there in 3/5 of a gram?
600
How many millilitres are there in fourty-nine quarters of a litre?
12250
What is one tenth of a gram in micrograms?
100000
Convert 0.3070462mg to tonnes.
0.0000000003070462
How many hours are there in nineteen sevenths of a week?
456
What is 9734.054l in millilitres?
9734054
Convert 569725.8 kilograms to milligrams.
569725800000
Convert 207.79038 months to decades.
1.7315865
What is 67/4 of a litre in millilitres?
16750
How many seconds are there in 46669.48 microseconds?
0.04666948
What is 2/125 of a kilometer in millimeters?
16000
How many millilitres are there in 11/8 of a litre?
1375
Convert 0.8750574 centuries to years.
87.50574
Convert 331.1547 millilitres to litres.
0.3311547
What is 884.88936 minutes in days?
0.6145065
Convert 776669.5 days to seconds.
67104244800
How many millilitres are there in seventeen quarters of a litre?
4250
How many nanograms are there in 7/2 of a microgram?
3500
Convert 186.8235327us to weeks.
0.00000000030890134375
How many nanoseconds are there in 6/25 of a microsecond?
240
How many micrometers are there in one fifth of a millimeter?
200
How many milliseconds are there in 560.8705 weeks?
339214478400
How many minutes are there in eleven eighths of a week?
13860
What is eighteen fifths of a tonne in kilograms?
3600
How many milliseconds are there in 11/10 of a second?
1100
Convert 6557.769 litres to millilitres.
6557769
Convert 10079.45g to kilograms.
10.07945
What is 85/4 of a micrometer in nanometers?
21250
How many millilitres are there in 1/4 of a litre?
250
What is 5/6 of a century in months?
1000
How many millilitres are there in one quarter of a litre?
250
Convert 183560806.8 microseconds to weeks.
0.000303506625
How many kilograms are there in 11/10 of a tonne?
1100
What is 16233.3 months in millennia?
1.352775
What is seven halves of a litre in millilitres?
3500
How many months are there in fourty-one halves of a century?
24600
How many decades are there in fifty-one quarters of a millennium?
1275
How many months are there in 27/4 of a century?
8100
What is 1/10 of a meter in micrometers?
100000
How many minutes are there in 0.2920587 seconds?
0.004867645
How many months are there in 5/6 of a millennium?
10000
How many micrograms are there in one twentieth of a gram?
50000
What is 3.084269 kilograms in nanograms?
3084269000000
What is 26/5 of a litre in millilitres?
5200
How many millimeters are there in three eighths of a meter?
375
What is thirteen fifths of a litre in millilitres?
2600
How many millilitres are there in 13/5 of a litre?
2600
What is 1/10 of a kilometer in millimeters?
100000
How many micrometers are there in three eighths of a centimeter?
3750
Convert 1.97319m to kilometers.
0.00197319
How many millilitres are there in one quarter of a litre?
250
How many decades are there in 21.2927 years?
2.12927
What is 3/40 of a micrometer in nanometers?
75
What is twenty-one eighths of a tonne in kilograms?
2625
What is 805.9068 centuries in years?
80590.68
Convert 0.8786431 nanoseconds to microseconds.
0.00087
|
{
"pile_set_name": "DM Mathematics"
}
|
f**3 + k and give k.
-1
Rearrange -2*m**4 + 3*m**3 - 3*m**3 + 4*m**3 + 1 + 3*m**3 to x*m**3 + f*m + o*m**4 + c*m**2 + b and give x.
7
Express j**3 - 4*j + 26 - 3*j - 26 as c*j + z + t*j**3 + m*j**2 and give t.
1
Express 48*i**2 - 86*i**2 + 114*i**2 as u*i**2 + y*i + d and give u.
76
Rearrange -5*x**3 + 49*x - 48*x - 2 - x**3 + 2*x**2 + 4*x**3 to the form i*x + f + n*x**3 + h*x**2 and give h.
2
Express 6 + 3*l**3 - 6 + (9 - 9 + l)*(2 + 2 - 2)*(-2*l**2 - 4*l**2 + 4*l**2) as s*l**3 + q*l + r + b*l**2 and give s.
-1
Rearrange (-2*q + q + 2*q)*(0*q**2 - 3*q**2 - 3*q + 0*q**2)*(0 + 0 - 7*q) to c + d*q**2 + s*q**4 + p*q**3 + u*q and give p.
21
Rearrange (-2*y + y + 0*y)*(-10*y**2 + 12*y**2 - 3*y**2 - 27) to b*y + m + d*y**2 + q*y**3 and give b.
27
Express 2*m**2 + 6*m**2 - 10*m**3 - 10*m**2 as z*m**2 + k + x*m**3 + y*m and give x.
-10
Rearrange (-4*o**2 + 4*o**2 + 2*o**4)*(1 + 2 - 1) + o**3 - 3*o + 3*o + 6*o**4 to c*o**4 + s + i*o + k*o**2 + v*o**3 and give v.
1
Rearrange 2*o**2 + 1 + 0 - 12*o**2 + 8*o**2 to f*o + w + p*o**2 and give w.
1
Express (3*c - 2*c - 3*c)*(5*c - c - 2*c)*(8 - c - 8) as x + j*c**3 + y*c**2 + h*c and give j.
4
Rearrange (-2 + 2 - 4*l)*(-4*l + 5 - 5)*(-5 + 3 + 1) to the form p*l + n + b*l**2 and give b.
-16
Rearrange (2 - 1 + 2)*(-5 - n - 2*n + 1) to a*n + g and give g.
-12
Rearrange -8*h**2 + 0*h**2 + 12*h**2 - h**3 + 7*h**2 to v + g*h**2 + k*h**3 + q*h and give g.
11
Rearrange (o + 0*o + 0*o)*(-2*o**2 - 6*o**3 - 8*o**3 + 54*o**3) to the form p*o**2 + k*o + v + z*o**4 + t*o**3 and give z.
40
Rearrange x**3 - 13*x**4 - 1 - x + 287*x**2 - 287*x**2 to the form r + l*x + h*x**4 + d*x**2 + p*x**3 and give p.
1
Express (-3*r - r**2 + 3*r)*(-r + r - 3*r**2) + 2*r**3 - r**3 + 2*r**4 + r**3 in the form m*r + q*r**3 + n + w*r**2 + o*r**4 and give q.
2
Rearrange -s**2 + s - s + (-2 + 0 + 4)*(-2*s**2 + 0*s**2 + 3*s**2) + 38*s**2 - 20*s**2 - 39*s**2 to the form t*s + r + b*s**2 and give b.
-20
Express -3*d**4 + d**2 - 3*d**4 - 1 - 2*d + 0*d + 0*d**4 as b*d**3 + n*d**2 + z*d + m*d**4 + s and give s.
-1
Express 0 - 2*s**3 + 26*s**2 + s - 28*s**2 - 5 - 3*s as n + d*s**2 + h*s + t*s**3 and give h.
-2
Express -3*m**2 + 11*m**2 + 2*m**2 in the form y + t*m**2 + u*m and give t.
10
Rearrange (-3*d - 2*d**2 - 58 - 60 + 144)*(d**2 + 3 - 3) to the form a + w*d**4 + m*d**3 + i*d + t*d**2 and give m.
-3
Rearrange -12 + z - 3*z + 0*z + z to the form u + x*z and give x.
-1
Express -3*m - 3 - 5*m**3 + 0*m**3 + m**3 + 2 as y + t*m**2 + g*m + d*m**3 and give y.
-1
Express -21*s - 8 + 8 in the form c*s + p and give c.
-21
Rearrange (-7 - 6 + 1)*(0*l + 3*l - 4*l)*(6 - 3*l - 6) to the form k*l + d*l**2 + b and give d.
-36
Express 10*s + 2*s**3 - 26*s - 6*s - 10*s in the form c*s + h*s**3 + w*s**2 + n and give c.
-32
Express (-4*m + 5*m + 0*m)*(-3 + 3 + 2)*(-3 + 5 - 5) in the form v + t*m and give t.
-6
Express -6*y + 8*y + 11*y + (2*y + 0 + 0)*(-2 + 3 + 0) - 7 + y + 7 + 2*y - y - 2*y in the form i*y + c and give i.
15
Express (r**3 - 2*r**3 - r**3)*(-98*r + 67*r - 120*r) in the form n*r**2 + b*r + q*r**3 + d + s*r**4 and give s.
302
Express (z**3 + 7*z**3 - 3*z**3)*(4*z - 4*z - 6*z) in the form h*z**2 + b + u*z**3 + r*z**4 + d*z and give r.
-30
Express 80 - 80 - 39*h**4 + (0*h**2 + 3*h**2 - 4*h**2)*(-h**2 + h**2 + h**2) in the form v*h**2 + f*h**3 + z*h**4 + o*h + y and give o.
0
Express n - 3*n - 13*n as u*n + y and give u.
-15
Rearrange -8*x**2 + 11*x**2 - x**2 + 7*x**3 to the form y*x**2 + z + i*x + r*x**3 and give y.
2
Express -4*d + 0*d + d + (2 - 4*d - 2)*(-1 - 2 + 1) as z + y*d and give y.
5
Express -5*h - h + 1 + 0*h + 15*h as f*h + z and give f.
9
Rearrange (3*l - l**2 - 3*l)*(-1 - 1 - 2) - 4 + 1 + 2*l**2 + 1 to f*l + g*l**2 + k and give g.
6
Rearrange -5*c**2 + 18*c + c**4 - 28*c + 13*c to the form m*c**4 + u*c**3 + s*c**2 + p*c + k and give m.
1
Rearrange 33 + 7*k**3 - 4*k**3 - 102 + (0*k - 2*k + 4*k)*(-4*k**2 + 2*k**2 + 3*k**2) to u*k + z*k**3 + a*k**2 + j and give j.
-69
Express (-2*z + 2*z - 2*z)*(0*z + 4*z - 3*z + 2*z - z + 0*z + (0 - 4 + 2)*(-3 + 3 + 2*z) + 3 - 3 - 2*z - 6 + 6 + 3*z) as i*z**2 + v*z + m and give i.
2
Express s**3 + 0*s**2 + 0*s**2 + s**3 - 4*s**3 + s**3 + 3*s**3 - 4*s**3 + 0*s**3 + (0 - 1 + 3)*(8*s**2 - 8*s**2 - s**3) as v + n*s**2 + x*s + i*s**3 and give i.
-4
Express s**2 + 6 + 2*s**2 - 7*s**2 + 5*s**2 as q*s**2 + j*s + i and give q.
1
Rearrange (s - 2*s + 3*s)*(-2*s - s + s) + 6 + 16*s + 3*s**2 - 16*s to the form h*s + a + c*s**2 and give c.
-1
Express -2*z - z**2 - 28 + 3*z + 25 - 2*z**3 in the form j + n*z**3 + a*z**2 + y*z and give j.
-3
Rearrange -21*d**2 + 21*d**2 + 11*d**4 + (6*d**3 - 3*d**3 - d**3)*(0*d + 0*d + 2*d) to the form s*d**4 + q*d**2 + m + n*d + y*d**3 and give m.
0
Express -13 + 13 + 4*l + (2 + l - 2)*(-2 + 2 - 1) in the form r + g*l and give g.
3
Rearrange (188 + 2 - 29)*(-1 + 1 - x) to s + z*x and give z.
-161
Rearrange 0*j + 2*j**2 + 0*j + (2 - 2 - 1)*(j**2 - j**2 - j**2) + (j**2 + 0*j**2 + j**2)*(-7 + 3 + 3) to the form v*j**2 + b*j + g and give v.
1
Rearrange -5*y**2 - y**2 + 2*y**2 to the form f*y**2 + m*y + d and give f.
-4
Rearrange 154*n + 12803 - 12803 to the form k + s*n and give s.
154
Rearrange (2*r - 10*r - 5*r)*(-2*r - 4*r + 4*r + 2) to the form g*r**2 + n*r + f and give g.
26
Express 2*c + 3*c - 5*c - 12*c in the form n + l*c and give l.
-12
Rearrange -10*t**2 + 150 + 8*t**2 - 46 - 2*t to the form x*t + l + n*t**2 and give l.
104
Rearrange 6 - 6 + 10*t**2 to a + y*t**2 + u*t and give u.
0
Express 3*c**3 - 1 - 7*c**3 + 2*c**3 + 0*c**3 + 2*c + 3*c**2 in the form d*c**3 + g*c + t*c**2 + i and give d.
-2
Rearrange (-5*q - 2*q + 6*q)*(q - 3*q + 4*q) - 177*q**2 - 195*q**2 + 302*q**2 to m*q + t*q**2 + d and give t.
-72
Rearrange (-9 - 3*p**2 + 9)*(-53*p - 9*p - 48*p) to u*p + x*p**3 + o + v*p**2 and give x.
330
Rearrange 20*j**2 - 5*j - 8*j**2 + 5*j to q + c*j**2 + f*j and give c.
12
Express 1 + 11*u**4 + u**3 + 1 + 6 - 6 in the form k*u**3 + i*u**4 + q*u**2 + p + m*u and give i.
11
Express s**3 + 0*s**3 - s**2 - 2*s + 0*s - 2*s**3 in the form l*s**3 + t*s + y + j*s**2 and give l.
-1
Express 2 + m**4 - 2 + (m**3 - 3*m**3 + m**3)*(0*m - 3*m - 2*m) as d*m**2 + s*m**3 + h + n*m + o*m**4 and give d.
0
Express (2*a - 2 + 2 + (-2 + 5 - 2)*(0*a + 2*a - 3*a))*(61 + 99 + 51) in the form u*a + y and give u.
211
Express (-90*f - 31*f - 7*f)*(-2 + 1 + 0) in the form k*f + b and give k.
128
Rearrange -39*x - 16*x - 17*x to the form z + d*x and give d.
-72
Express (4 - 2 + 2)*(j**2 - 2*j**2 + 2*j**2) - 6*j**2 + 0*j**2 - j**2 as d + k*j**2 + l*j and give k.
-3
Rearrange (-5 + 1 + 2 - 9*h**2)*(-2*h - 2*h + 3*h) to c*h + b*h**2 + w*h**3 + t and give c.
2
Express -3*h**3 - 5*h**2 - 3*h**3 + 0*h**2 + 3*h**2 as i*h + b + s*h**2 + c*h**3 and give s.
-2
Express (0*c + c - 3*c)*(32*c - 185 + 185) as w*c**2 + j*c + x and give w.
-64
Rearrange -2*i**4 - i + 3*i**4 + 3*i**2 + i**3 - 4*i**2 + i**3 to the form u*i**3 + g*i + q*i**4 + x*i**2 + j and give g.
-1
Rearrange -2*a + a**4 - a**3 - 5*a + 6*a - 2*a**2 to the form w*a + z*a**4 + v*a**3 + n + r*a**2 and give r.
-2
Rearrange -5*u**3 - 2*u - 445*u**2 + 445*u**2 - 3 to the form f*u**2 + y*u**3 + g*u + h and give f.
0
Express -17*b**2 - 3*b**3 + 2*b + 11*b**2 + 2 - 5*b**2 + 2*b**3 as a*b + v + s*b**2 + f*b**3 and give s.
-11
Express -4 + 2*h**2 + 3 + 45*h - 2*h**3 - 45*h in the form i*h + u*h**3 + o + c*h**2 and give u.
-2
Express 2*m**2 - m**4 - 3 + 0*m**4 + 2*m**3 - 4 + 0*m**3 + 2*m in the form s*m**2 + g + b*m**3 + a*m + f*m**4 and give g.
-7
Express 5*l - 8*l + 3*l - 19*l**2 as p*l + j + h*l**2 and give p.
0
Rearrange (3*c - 1 + 1)*(2*c + 2*c - 2*c)*(0 - 5 - 2) to r + a*c**2 + z*c and give a.
-42
Rearrange (-4 + 2 + 1)*(3 - 2*o**3 - 3) + 0*o**3 - 7*o**3 - 11*o**3 to a*o**2 + y*o**3 + v*o + r and give y.
-16
Rearrange (2*h - 169 + 169)*(15 + 9 - 9) to the form w*h + y and give w.
30
Express -2*r**2 - r - r**3 + r**2 - 2*r**3 + 3*r**2 in the form d*r**3 + c + z*r + t*r**2 and give z.
-1
Rearrange -4 - 16 + 5 + j - 16 to a + y*j and give y.
1
Express -25*l**2 + 48*l**2 - 25*l**2 - 6*l**3 - 1 as n*l**3 + u*l**2 + d + w*l and give n.
-6
Rearrange -9*q**2 - 2 + 0 + 8*q**2 to l*q**2 + m + z*q and give m.
-2
Rearrange 4*w**3 + w**2 - 5*w**3 + 3*w**3 - 2*w + 2*w**4 + 0*w**3
|
{
"pile_set_name": "DM Mathematics"
}
|
= 5*l - 14. Let o = -27 + 29. Let b be (1 - 1/o)/((-10)/(-120)). Calculate the highest common divisor of b and l.
2
Let v = 53 + -17. Calculate the highest common factor of 576 and v.
36
Suppose -37*o + 36*o + 2 = 0. Suppose -4*i = 5*q - 61, -o*i + 17 = q - 6*i. What is the highest common divisor of q and 13?
13
Let u = 1627 + -1068. What is the greatest common factor of 39 and u?
13
Suppose 9*i - 115 = 4*i. Let o be i*(3 + (-5)/(20/8)). Calculate the greatest common divisor of 23 and o.
23
Suppose 2*q = 5*w - 2*w - 27, 27 = 3*w + 4*q. Let y be (-35)/20 + (-385)/(-28). What is the highest common divisor of w and y?
3
Let d = -13 + 11. Let l be ((-32)/(-12))/(d/6). Let b be (l/10)/((-4)/40). Calculate the greatest common divisor of 2 and b.
2
Let s be (10/4*2)/(1/3). Calculate the highest common factor of 9 and s.
3
Suppose 6*f - 11*f - 50 = 0. Let z(o) = o**3 + 10*o**2 - 5*o - 15. Let d be z(f). Calculate the greatest common factor of 140 and d.
35
Let n = 2847 + -1557. Calculate the highest common factor of n and 60.
30
Let o(d) = -219*d + 36. Let z be o(-6). Suppose 0 = -27*x + 37*x - z. What is the highest common divisor of x and 27?
27
Suppose 7*n - 11*n + 20 = 0. Suppose 2*k = -2*k + 68. Suppose -2*w = 4*u + 3*w - 31, 3*u + n*w = k. What is the highest common factor of 14 and u?
14
Let v = 68 - 95. Let s = 87 + v. Suppose t = 5*f + 37, -5*t - 5*f + 3*f = -50. What is the greatest common factor of t and s?
12
Suppose 5*n - 3*z + 4*z - 30 = 0, 43 = 4*n - 3*z. Let y be -2*-3*n/((-42)/(-88)). Calculate the highest common factor of y and 11.
11
Let v be -6 - -15 - 4 - -2. What is the highest common divisor of v and 7?
7
Suppose 4*q - 7 = -2*p - 3*p, 0 = q + 4*p + 1. Suppose -2*h - 2*h = 5*b - 585, 3*h + q*b = 435. Calculate the highest common divisor of 20 and h.
20
Let n = 17545 - 12118. What is the greatest common factor of 67 and n?
67
Suppose k = -3*g - g + 110, 148 = 5*g - 4*k. Let o = -32 - -32. Let j be 0 + o/(-1) + 56. Calculate the greatest common factor of g and j.
28
Let d = -1757 + 2044. What is the highest common divisor of d and 7?
7
Let t(y) = -y**3 + 3*y**2 + 6*y - 3. Let s be t(4). Suppose 7*a - 14 = s*a. Suppose -2*k = 2*k, 1 = m + k. What is the highest common factor of a and m?
1
Let n be 3*2/18*(10 + -4). Let w = -74 + 75. What is the greatest common divisor of w and n?
1
Let t(q) = q**2 + q. Let u(g) = -2*g**3 + 5*g**2 - g. Let m(o) = -4*t(o) - u(o). Let d be m(6). Calculate the highest common factor of d and 10.
10
Let g be 6/15 - (-219)/15. What is the highest common factor of g and 15?
15
Let x be (-2)/(-4) - (-606)/12. Let h = -18 + 54. Let s = 70 - h. Calculate the greatest common divisor of x and s.
17
Let b be (0 + -1)*(-9 - -5). Suppose -b*l + 0 = -4*q - 4, 25 = 4*l + 3*q. Calculate the highest common divisor of 16 and l.
4
Let a be (-2)/(-1 + 25/27). Let j(n) = 3*n - 12. Let q be ((-4)/3)/(1 + (-95)/75). Let t be j(q). Calculate the greatest common divisor of a and t.
3
Let l = 50 - 36. Let p(a) = 10*a - 3. Let r be p(8). Suppose -5*c + r = 7. What is the greatest common factor of l and c?
14
Let n be ((-2)/2)/((-1)/18). Let p = n - 12. Let w be (32/(-5))/(10/(-75)). What is the greatest common divisor of p and w?
6
Let v(k) = -k**2 - 24*k - 17. Let a be v(-19). What is the greatest common factor of a and 416?
26
Let b = 218 - 149. Calculate the greatest common factor of b and 92.
23
Let k(s) = 1. Let y(f) = -f - 10. Let b(c) = -2*k(c) - y(c). Let n be b(-7). Let m = 870 + -859. Calculate the greatest common divisor of n and m.
1
Let b(w) = 211*w - 19. Let t be b(1). Calculate the greatest common factor of t and 24.
24
Let l be (-16)/64 - (3123/(-12) + 2). What is the highest common divisor of 3 and l?
3
Let i be 6 + 22 - (4 + 2). What is the highest common factor of i and 297?
11
Let c(h) = h**2 + 319. Let f be c(0). Calculate the greatest common factor of f and 29.
29
Let f be (16/(-6))/((-3)/171). Let v be f/6 - 7/21. Let l = 128 - -97. What is the greatest common factor of v and l?
25
Let n be (-1)/(-2) + 18/12. Suppose -b + 3 = 0, z + n*b - 20 = -0*b. Calculate the highest common divisor of z and 21.
7
Let f(d) = 35*d - 28. Let s = -124 - -129. Let a be f(s). Calculate the greatest common factor of 21 and a.
21
Let n be -1*(-4)/(-10)*-50. Let y be (-2)/(-16) + 1738/176. What is the highest common divisor of y and n?
10
Let r = -680 + 1738. Calculate the greatest common factor of r and 46.
46
Let g = -224 + 280. What is the greatest common divisor of g and 35?
7
Let w be (-3 - (-3 - -1))*-35. Let t(g) = -37*g + 58. Let l be t(-6). What is the highest common factor of w and l?
35
Suppose 4*w = 6*d - 8*d + 28, -2*d + 14 = 2*w. Calculate the highest common divisor of w and 112.
7
Let k(a) = 19*a - 177. Let f be k(11). What is the greatest common factor of f and 4?
4
Let k(q) = 3*q - 6*q - 11 - 5*q**3 + 3*q**2 + 12. Let y be k(2). Let f = 29 - y. Calculate the greatest common factor of 31 and f.
31
Suppose 5*q - 151 = -t, 4*t - 17 = q - 64. What is the highest common factor of 837 and q?
31
Suppose 5*h + b - 4 = -2*b, 4*b + 10 = h. Let s be ((-3)/h)/((-3)/(-6)). Let r = s + 5. What is the greatest common divisor of r and 14?
2
Let y be -20*(133/28 + -6). Suppose -2*b + 7*b = 20. Let p(w) = 6*w + 1. Let j be p(b). Calculate the greatest common divisor of y and j.
25
Let g = -401 - -689. What is the highest common factor of 24 and g?
24
Suppose 195*q = 194*q + 23. Calculate the highest common factor of 391 and q.
23
Let y(n) = -10*n + 0*n + 0 - 5. Let p be y(-6). Suppose -p = -4*a - a. What is the greatest common divisor of 44 and a?
11
Let l(f) = f**2 - 25*f + 80. Let y be l(22). Calculate the greatest common factor of 518 and y.
14
Suppose -13*n + 675 + 1054 = 0. Calculate the greatest common divisor of n and 57.
19
Let v be 10*(4 - 39/(-6)). What is the greatest common divisor of 21 and v?
21
Let s be (-10)/(-6)*(-72)/(-40). Let v be 35/14*54/5. Calculate the highest common factor of s and v.
3
Let w(b) = 180*b + 1484. Let l be w(-8). Let f(h) = h**3 + 11*h**2 + 7*h + 3. Let i be f(-10). Calculate the greatest common divisor of i and l.
11
Let h(g) be the first derivative of 2*g**3/3 - 4*g**2 - 2*g + 4. Let x be h(-9). What is the greatest common divisor of 29 and x?
29
Suppose -32 = -4*q + 52. Let b = -1737 + 1744. What is the highest common divisor of b and q?
7
Suppose -95 - 28 = 2*w + 5*c, -2*w + c = 105. Let d = w - -69. Calculate the greatest common factor of 195 and d.
15
Suppose -3*p - p - y = -108, 4*p - 4*y - 128 = 0. Calculate the greatest common factor of 28 and p.
28
Suppose -63*n = -1756 - 1394. What is the greatest common divisor of n and 30?
10
Let g = 672 + -427. Calculate the greatest common factor of 35 and g.
35
Let o be 1 - (-4 + 1 + -1). Suppose 3*d + y = -4 + 1, -o*y = 4*d + 4. Let l = d - -12. Calculate the greatest common factor of 33 and l.
11
Let u(s) = -s**3 - 17*s**2 + 18*s + 5. Let x be u(-18). Suppose 0 = x*z - 5*w - 35, 11 = 3*z - 0*w + 2*w. What is the greatest common divisor of 15 and z?
5
Suppose -3*l + 4*o + 21 = 0, l - o = -0*l + 8. Let i(x) = x**3 + 11*x**2 + 10*x + 11. Let s be i(-10). Calculate the highest common factor of s and l.
11
Suppose 0 = -3*y + 12*y - 135. Calculate the highest common divisor of 3 and y.
3
Let j be (-6)/(-16)*(0 + 8). Suppose 2*l - 227 = -j*p - 0*l, 0 = -4*p - 2*l + 304. What is the highest common factor of p and 7?
7
Let a = -647 - -674. Suppose p = -3*p + 864. What is the highest common factor of p and a?
27
Let z be (3 - -2)*1674/155. Calculate the greatest common divisor of z and 81.
27
Let k = 189 - 132. What is the highest common factor of 38 and k?
19
Suppose -741*q - 168 = -745*q. Let v = -11 + 17. What is the highest common divisor of q and v?
6
Let b(z) = 3*z**2 - 14*z + 5. Let d be b(6). Let r = 42 - d. What is the greatest common divisor of 91 and r?
13
Let o(l) = 4*l**2 - 25*l + 27. Let i be o(7). What is the highest common divisor of 176 and i?
16
Suppose 0 = 5*u - 232 - 488. Suppose p = -4*m + u, 3*p - 2*p = 0. Suppose 59*v = -94*v + 26*v + 3048. Calculate the greatest common factor of m and v.
12
Suppose 3*z + 3*y - 187 - 323 = 0, -y = 3*z - 512. Calculate the highest common divisor of z and 18.
9
Let u(m) = -100*m - 56. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
**(3/4)*j)**4)**(-1/16) assuming j is positive.
j**(-7/16)
Simplify (j/j**(-14))**(-3/4) assuming j is positive.
j**(-45/4)
Simplify (j**8)**31 assuming j is positive.
j**248
Simplify (f**(-2/9))**5/((f*f**(-8))/(f/f**(4/7))) assuming f is positive.
f**(398/63)
Simplify z/(z**(-2/17)/z)*z/(z/z**(-4))*(z**(-1))**28 assuming z is positive.
z**(-508/17)
Simplify (j/(j/(j/(j*j*j*j*j**(2/37))*j*j*j))*j**(-11)/j)**37 assuming j is positive.
j**(-446)
Simplify d*d/(d/d**(2/55))*d*d*d**22 assuming d is positive.
d**(1377/55)
Simplify ((m**(2/7)*m)/((m*m**3/m*m)/m))/(m**(-1/6)*(m/m**(4/3))/m*m) assuming m is positive.
m**(-17/14)
Simplify (h*h**0/h*h*h/(h*h**3)*h*h)/((h**6/h)/h**(5/4)) assuming h is positive.
h**(-15/4)
Simplify ((y**0*y)**(-43))**(2/9) assuming y is positive.
y**(-86/9)
Simplify (r*r/r**(2/29)*r**(-6))**(-3/19) assuming r is positive.
r**(354/551)
Simplify (y**(-2))**(1/19)*y*(y*y*y*y*y**(-3)/y)/y*y/(y**(-7)/y*y*y) assuming y is positive.
y**(131/19)
Simplify (o**(1/3)/o**1)/(o**(-2/5))**22 assuming o is positive.
o**(122/15)
Simplify (k*k**(-4))/k**(4/9)*(k**(-2/3)/k)**(-2/3) assuming k is positive.
k**(-7/3)
Simplify (y*y**(16/3))/y*y*y*y**(2/27) assuming y is positive.
y**(200/27)
Simplify c**(1/19)*c**13 assuming c is positive.
c**(248/19)
Simplify (y/((y*y*y**(-6))/y)*y)/(y*y**(2/3))*(y**(-1)*y)**(14/9) assuming y is positive.
y**(16/3)
Simplify ((j/(j**(-1/5)/j))/(j**(-2/5)*j))/((j**(1/3)*j)/(j/(j/j**(-1/8))*j*j)) assuming j is positive.
j**(257/120)
Simplify (s**(2/13))**(2/19) assuming s is positive.
s**(4/247)
Simplify (w*w**0)**(1/75)/(w*w**(-2/23)*w*w*w**(-3)*w) assuming w is positive.
w**(-1552/1725)
Simplify j/(j*j*j/(j/j**3)*j*j*j)*j**(-4)*j*(j**(-1))**(9/2) assuming j is positive.
j**(-29/2)
Simplify q**3*q/(q/(q/(q*q**(12/11)))) assuming q is positive.
q**(21/11)
Simplify (i*i*(i**2/i*i)/i)**(6/11) assuming i is positive.
i**(18/11)
Simplify ((j**(2/25)/j)/j)**41 assuming j is positive.
j**(-1968/25)
Simplify (k/(k/k**(-11/2)*k))/((k*k**(2/11))/k) assuming k is positive.
k**(-147/22)
Simplify (f**(-1))**(-1/34)/(f**3*f**(4/9)) assuming f is positive.
f**(-1045/306)
Simplify ((a/a**3)**(-1/7))**(-50) assuming a is positive.
a**(-100/7)
Simplify (o*o**(-8/7))/o*o*o*o**(-7/4) assuming o is positive.
o**(-25/28)
Simplify ((w**(-1)*w)**(-2/59))**(-20/3) assuming w is positive.
1
Simplify (k**(1/3))**(-2/13)*(k/k**(2/5))/k*k**(2/9) assuming k is positive.
k**(-134/585)
Simplify (w**(-3/10)/w*w*(w/(w*w**(-3)))/w)**49 assuming w is positive.
w**(833/10)
Simplify (d**(-4/5)*d)/d**(-2) assuming d is positive.
d**(11/5)
Simplify n**(-37)/(n*n/n**16) assuming n is positive.
n**(-23)
Simplify (((((w/(w/w**(-5)))/w)/w)/w)/w*w**(-2/7))/(w*(w/((w**(-2/5)/w*w)/w))/w)**47 assuming w is positive.
w**(-4273/35)
Simplify (s/s**(-7))/s*s**2*s/s**(-9)*s*s*s**(-5) assuming s is positive.
s**16
Simplify (n/(n*n**(13/3)*n*n))**(-43) assuming n is positive.
n**(817/3)
Simplify (x/x**(-20))/x**(-1) assuming x is positive.
x**22
Simplify (l*l**17/l)/(l/(l*l**(-5/6))) assuming l is positive.
l**(97/6)
Simplify ((q/(q*q/q**(6/11)))/q*q)**(-2/25) assuming q is positive.
q**(2/55)
Simplify (w*w**(2/3)*w)**(3/7)/((w/((w*(w*w/w**1)/w)/w*w))/(w*w*w**(-2/5))) assuming w is positive.
w**(96/35)
Simplify ((g/(g/(g*g**(-7))))/g)**25 assuming g is positive.
g**(-175)
Simplify (u/(u/(u/(u/(u**(-16)/u)))))/(u*((u**(-1/5)/u)/u)/u*u) assuming u is positive.
u**(-79/5)
Simplify n**(5/3)/(n/(n/n**(5/2)*n*n)) assuming n is positive.
n**(7/6)
Simplify (p*p*(p/(p**(-5)*p))/p)/(p*p**16*p*p) assuming p is positive.
p**(-13)
Simplify ((g**(-1/2))**(-20))**(-4/9) assuming g is positive.
g**(-40/9)
Simplify (j**(-2/11)/j**(-1/6))**(-1/17) assuming j is positive.
j**(1/1122)
Simplify (((t/t**2*t)/t)/t*t)**(-47) assuming t is positive.
t**47
Simplify ((q*q**(-3/11)/q)/q)/(q**(2/33)/q) assuming q is positive.
q**(-1/3)
Simplify (x**(4/9)/x)/(x**(3/17)/x) assuming x is positive.
x**(41/153)
Simplify (g*g/g**19)/(g*g/g**11) assuming g is positive.
g**(-8)
Simplify (o/o**0)**(-2/137)/(o**(-1/2)*o)**(3/11) assuming o is positive.
o**(-455/3014)
Simplify (f**23*f)/f*f*f**(1/12)/f assuming f is positive.
f**(277/12)
Simplify (x/(x**(-1/7)/x)*x/(x/(x*x*x*x/(x/(x*x**(-1/12)))*x*x)))**(-2) assuming x is positive.
x**(-677/42)
Simplify (x**(2/3)/x**5)/(x**(1/3))**(-2/75) assuming x is positive.
x**(-973/225)
Simplify (((d/(d*d/(d/(d/((d**2*d)/d*d)))*d*d)*d)/d)/(d*d**(-5/2)*d))/((d**9/d)/(d*d**(2/11))) assuming d is positive.
d**(-139/22)
Simplify t*t*t*t*t*t**15*(t*t*t/(t/((t/((t*t/t**(3/14))/t))/t*t)*t)*t)/t assuming t is positive.
t**(297/14)
Simplify n**(-11/3)*n**(-2/9) assuming n is positive.
n**(-35/9)
Simplify ((d/(d/d**(-13)))/(d/(d**(-3/8)*d*d)*d))**(1/51) assuming d is positive.
d**(-107/408)
Simplify ((k**1*k)/k*k**3)**(-18/11) assuming k is positive.
k**(-72/11)
Simplify (s**(-7/3)*s)/(s/((s**(-3/7)*s)/s*s)) assuming s is positive.
s**(-37/21)
Simplify (d**(3/4)/(d/((d/(d*d**(-6/5)))/d)))**(4/21) assuming d is positive.
d**(-1/105)
Simplify ((d*d**5)/(d**(-1/9)/d))**(2/47) assuming d is positive.
d**(128/423)
Simplify (g/(g/(((((g/(g*(g*g**(3/23)*g)/g*g))/g)/g)/g)/g)))/(((g/(g/(g*(g*g**21)/g))*g)/g)/g) assuming g is positive.
g**(-624/23)
Simplify (t**(-5)/t)**(2/91) assuming t is positive.
t**(-12/91)
Simplify c**(-9)/(c**(-13)/c*c*c) assuming c is positive.
c**3
Simplify v**15/(v*v/(v/v**(-17))) assuming v is positive.
v**31
Simplify (w*w**(-3))/(w**(-2/89)/w) assuming w is positive.
w**(-87/89)
Simplify u**28/((u**(11/6)/u)/u) assuming u is positive.
u**(169/6)
Simplify (a**(-1/19)*a*a**(1/4))**29 assuming a is positive.
a**(2639/76)
Simplify (h*h/(h/h**(-8/7)))/h**(-14) assuming h is positive.
h**(97/7)
Simplify i**(-11)/i**(-7)*(i**(-1/2))**18 assuming i is positive.
i**(-13)
Simplify ((s*s**(-2/23))/s*s/(s*(s/(s*s/(s*s/(s/(s**(-5)/s)*s)*s))*s)/s))/(s*s**(1/3)/s)**42 assuming s is positive.
s**(-186/23)
Simplify (x**(-11)*x**(-1/5))**(-43) assuming x is positive.
x**(2408/5)
Simplify ((k*k**(-3)*k*k)/(k*k/(k**(-5/3)/k)))/(((k/(k/(k*k/k**0)))/k*k*k)/k**(-2/7)) assuming k is positive.
k**(-167/21)
Simplify x*x*x/(x*x**20)*x*x**(-2) assuming x is positive.
x**(-19)
Simplify (a**0)**25/(a**6*a*(a*a*a**4*a)/a) assuming a is positive.
a**(-13)
Simplify x**(-1/3)/(x*x/x**(-7))*x**4*x**(2/5) assuming x is positive.
x**(-74/15)
Simplify (t/(t*(t*t**(-2))/t*t))/(t**(-18)/t) assuming t is positive.
t**20
Simplify (l**3/(l/(l/(l*l**(1/5)*l))))**34 assuming l is positive.
l**(136/5)
Simplify a*a**(-5)*a/(a/a**4)*a**(2/7)/a**(-6) assuming a is positive.
a**(44/7)
Simplify (j**(-2/7)/j)/(j**3/j) assuming j is positive.
j**(-23/7)
Simplify (s/(s*s**11*s)*s*s**(-11))/(s**(-1/4))**(-5/3) assuming s is positive.
s**(-269/12)
Simplify ((y**0/y)**15)**(2/3) assuming y is positive.
y**(-10)
Simplify ((p/p**(-2/3))**(-5/8))**(-7) assuming p is positive.
p**(175/24)
Simplify (x**2/x)**(-25) assuming x is positive.
x**(-25)
Simplify (n*n*n**(-3))/n*n**(-5/6)*(n/(n/n**(-3))*n)/n*n**(-3)*n assuming n is positive.
n**(-47/6)
Simplify (m**(2/19))**42 assuming m is positive.
m**(84/19)
Simplify (o**(1/8)/o**(1/5))**(-50) assuming o is positive.
o**(15/4)
Simplify ((z/z**(-3/4))/z)**(1/6) assuming z is positive.
z**(1/8)
Simplify ((((a/a**(-1))/a*a)/a)/(a**(-4)*a))**39 assuming a is positive.
a**156
Simplify (s*s**5*s*s*s/s**(2/5)*s)/(s**0*s**2) assuming s is positive.
s**(38/5)
Simplify (((g**(-2/15)/g)/g*g)**14)**35 assuming g is positive.
g**(-1666/3)
Simplify (((l/l**(2/19))/l)/(l*l**(1/4)))/(l**(-7)*l**(-1)) assuming l is positive.
l**(505/76)
Simplify (r**(-2)/r)**41 assuming r is positive.
r**(-123)
Simplify ((b**28*b)/b*b)/(b/((b*((b*((b**(-2/7)*b)/b)/b)/b*b)/b*b)/b)*b) assuming b is positive.
b**(187/7)
Simplify (n**(-1/7)/n)/n*n*n*n**(-17)*n assuming n is positive.
n**(-113/7)
Simplify ((j**0*j)/j)**(-31)*(j**0*j)**2 assuming j is positive.
j**2
Simplify (o**(-4)*o*o**(-8)*o)**13 assuming o is positive.
o**(-130)
Simplify f*f**(-25/4)*f*f*f**17 assuming f is positive.
f**(55/4)
Simplify (y**(-5/3)/y)**29 assuming y is positive.
y**(-232/3)
Simplify j**(-1/3)/j**(-6)*(j*j**2*j)**(3/2) assuming j is positive.
j**(35/3)
Simplify ((f/(f**(-2/21)*f))/f*f**(-10)/f)**(-2/11) assuming f is po
|
{
"pile_set_name": "DM Mathematics"
}
|
?
20
What is the highest common divisor of 27 and 18729?
9
Calculate the highest common factor of 6048 and 3787.
7
Calculate the highest common divisor of 14 and 118.
2
Calculate the greatest common factor of 10 and 642340.
10
Calculate the highest common factor of 15 and 1373.
1
Calculate the greatest common divisor of 9922 and 484.
242
Calculate the greatest common factor of 21255 and 55.
5
What is the highest common factor of 523536 and 168?
24
What is the greatest common divisor of 10701419 and 79?
79
What is the greatest common factor of 10207 and 1298?
59
What is the highest common divisor of 60730 and 30?
10
Calculate the highest common divisor of 1110 and 374625.
555
What is the highest common factor of 47508 and 19581?
321
Calculate the greatest common divisor of 2564 and 1060855.
641
What is the greatest common factor of 50552 and 267?
89
Calculate the highest common divisor of 373274 and 14476.
1034
What is the greatest common divisor of 1075 and 399083?
43
What is the highest common divisor of 25 and 27655?
5
Calculate the highest common factor of 21234 and 222.
6
Calculate the greatest common divisor of 477 and 45633.
159
Calculate the greatest common factor of 59390 and 3.
1
What is the greatest common divisor of 23489 and 830?
83
Calculate the highest common factor of 1350 and 1850.
50
Calculate the highest common factor of 412844 and 232.
116
What is the greatest common factor of 350 and 421450?
50
What is the greatest common divisor of 2154610 and 10?
10
What is the highest common factor of 1617 and 51891?
147
What is the greatest common divisor of 442 and 5174?
26
What is the greatest common divisor of 24404 and 16?
4
What is the highest common factor of 167203 and 2849?
37
Calculate the highest common divisor of 3882 and 218686.
1294
Calculate the highest common divisor of 42 and 186424.
14
Calculate the greatest common factor of 208 and 1840.
16
Calculate the greatest common factor of 6303540 and 1240.
620
What is the greatest common divisor of 104 and 665418?
26
Calculate the highest common divisor of 43004 and 38869.
827
What is the highest common divisor of 446 and 976?
2
What is the greatest common factor of 5488 and 64?
16
What is the greatest common factor of 4452 and 1932?
84
Calculate the highest common factor of 3972614 and 218.
218
What is the highest common factor of 481264 and 16?
16
What is the highest common divisor of 9782280 and 80?
40
What is the highest common divisor of 1224 and 26469?
153
Calculate the greatest common factor of 844188 and 206.
206
Calculate the highest common factor of 287 and 5699.
41
Calculate the greatest common factor of 506454 and 302.
302
What is the greatest common factor of 3977 and 164?
41
What is the greatest common factor of 1 and 7?
1
What is the highest common divisor of 2704 and 3887?
169
Calculate the greatest common divisor of 252 and 4283136.
36
Calculate the highest common factor of 13262 and 608.
38
Calculate the highest common factor of 316357 and 159.
53
Calculate the highest common divisor of 611 and 10088.
13
Calculate the greatest common divisor of 14592 and 19392.
192
What is the greatest common divisor of 927413 and 379?
379
What is the greatest common factor of 2868020 and 15?
5
Calculate the greatest common factor of 748 and 517.
11
Calculate the greatest common divisor of 62205 and 3510.
195
What is the highest common divisor of 4 and 1703?
1
Calculate the highest common factor of 8688 and 431142.
1086
Calculate the greatest common factor of 43599 and 5.
1
What is the highest common divisor of 2431 and 576862?
143
Calculate the highest common divisor of 638 and 3751.
11
Calculate the greatest common divisor of 524 and 621988.
524
What is the greatest common divisor of 993800 and 240?
40
Calculate the highest common factor of 25326 and 336.
42
Calculate the highest common divisor of 1195 and 1380.
5
Calculate the greatest common divisor of 7965 and 23305.
295
Calculate the highest common factor of 654090 and 150.
30
Calculate the greatest common factor of 73117 and 7038.
391
What is the highest common divisor of 94 and 306346?
94
What is the highest common divisor of 174 and 1032429?
87
Calculate the highest common divisor of 468809 and 2783.
253
Calculate the highest common divisor of 260 and 39754.
26
What is the greatest common factor of 3045 and 2873175?
435
Calculate the greatest common factor of 2460 and 431484.
492
What is the greatest common factor of 40137 and 34?
17
What is the greatest common factor of 62700 and 171?
57
Calculate the greatest common factor of 364 and 883246.
182
What is the highest common divisor of 160 and 145360?
80
Calculate the greatest common divisor of 109 and 17881232.
109
What is the greatest common divisor of 17995 and 12200?
305
Calculate the highest common factor of 308 and 65252.
44
Calculate the highest common factor of 124 and 108593.
31
Calculate the highest common factor of 13090 and 18955.
85
Calculate the highest common divisor of 562432 and 256.
256
Calculate the highest common factor of 478436 and 196.
196
What is the highest common factor of 378 and 725706?
54
What is the greatest common factor of 33361 and 292?
73
Calculate the highest common divisor of 151283 and 187.
187
Calculate the greatest common divisor of 519282 and 34.
34
What is the greatest common divisor of 24228 and 36?
36
Calculate the highest common factor of 23392 and 102.
34
Calculate the greatest common divisor of 8060 and 110360.
620
Calculate the greatest common divisor of 44833 and 2933.
419
What is the highest common factor of 60 and 81020?
20
Calculate the highest common divisor of 280384 and 1536.
64
What is the greatest common divisor of 108 and 2988252?
108
Calculate the greatest common factor of 660 and 8450.
10
What is the greatest common divisor of 50288 and 2800?
112
Calculate the greatest common divisor of 21 and 65912.
7
Calculate the greatest common divisor of 196 and 5327.
7
What is the highest common divisor of 220 and 20856?
44
What is the highest common divisor of 23409 and 405?
81
Calculate the greatest common factor of 83838 and 34854.
942
What is the highest common divisor of 551 and 126711?
19
What is the highest common divisor of 101277 and 484?
121
Calculate the greatest common divisor of 16 and 244692.
4
What is the greatest common divisor of 82474 and 2408?
602
What is the highest common divisor of 2 and 1?
1
What is the greatest common divisor of 520 and 83320?
40
Calculate the highest common divisor of 141825 and 62.
31
Calculate the highest common factor of 616 and 4731496.
616
What is the greatest common divisor of 224 and 175238?
14
Calculate the greatest common factor of 20339 and 7568.
473
Calculate the highest common divisor of 1396 and 20591.
349
What is the greatest common factor of 4248 and 70344?
72
What is the greatest common factor of 260 and 265460?
260
What is the highest common factor of 383 and 6527086?
383
Calculate the greatest common factor of 602 and 59899.
301
What is the highest common factor of 72 and 66840?
24
What is the greatest common divisor of 42 and 410298?
42
What is the greatest common divisor of 5632 and 1804?
44
Calculate the greatest common divisor of 86410 and 230.
10
Calculate the highest common factor of 62700 and 36.
12
What is the greatest common divisor of 4 and 1731296?
4
Calculate the greatest common factor of 17890004 and 44.
44
Calculate the highest common factor of 1037 and 12871.
61
What is the highest common factor of 13837 and 1919?
101
Calculate the greatest common divisor of 1225 and 92855.
245
What is the greatest common divisor of 3590762 and 42?
14
Calculate the greatest common factor of 245036 and 176.
44
What is the highest common divisor of 271488 and 7728?
336
Calculate the highest common factor of 4640 and 12470.
290
Calculate the highest common factor of 82 and 466826.
82
What is the greatest common factor of 3 and 28947?
3
What is the highest common divisor of 268 and 368902?
134
Calculate the highest common factor of 133 and 27911.
19
Calculate the highest common factor of 350 and 1021475.
175
Calculate the greatest common divisor of 485 and 1967645.
485
Calculate the greatest common divisor of 1468 and 32663.
367
What is the greatest common divisor
|
{
"pile_set_name": "DM Mathematics"
}
|
.
127
What is (4811/(-340) - -14)/(1 - (-316)/(-304))?
19/5
Evaluate (-5089742)/(-1757460) + (-1)/(15/(-2)) - 3.
1/34
Evaluate -44 + (-44 - -76 - -38).
26
Calculate 1617/(-14)*(129/(-18) - -8)*(-16)/(-20).
-77
What is the value of 3/(-108)*30348/13488?
-1/16
Calculate 4/60 - 0 - (-30171)/(-512640).
1/128
(-117)/(-104) + (-16968)/6464
-3/2
What is 247/3*(-19622)/127543?
-38/3
What is the value of 15 - (-13896)/(-936) - -106*(-22)/(-52)?
45
(-1 - 39/(-14) - 406/1421)/((-156)/13208)
-127
Evaluate (6/(-33) + 2 + 68/11)*3122/(-4460).
-28/5
Calculate (-3)/10*(-14 - (-3136)/105 - (-21 - -37)).
1/25
What is 2/((3243/966)/47)?
28
What is -18*((-1183)/(-1014) - 4/6) - 44?
-53
Calculate 6/(-20)*(-9522)/621.
23/5
Calculate (-1 - -4) + -28 - (-36 + (-378)/(-14)).
-16
What is (-174)/(-47 - -4223) + 7*(-39)/(-3096)?
2/43
(16176/1152 + (-6)/16)/((-16)/(-48))
41
Evaluate (-888)/1110*3/((-54)/30).
4/3
Calculate (-3)/370*2*(4620/(-126))/(-11).
-2/37
Evaluate ((-171)/12*128/144 - -1)*(-648)/180.
42
Calculate (-14 - -11) + -17*(-4)/38*3895/(-820).
-23/2
What is ((-17)/(306/4))/((-3)/378)?
28
387/172 + (-944)/(-64)
17
What is the value of 765/12*8612/(-6459)?
-85
What is the value of 36 + (-1 - 3) - 29?
3
What is the value of (-140*(-53)/1590)/(-7)?
-2/3
What is the value of (5/(-3) - (-46)/8) + -4 - (-189)/(-12)?
-47/3
Evaluate ((-1)/((-87)/(-2436)))/(5 - 4).
-28
576/(-10)*43690/39321
-64
-27 - ((-46)/(-2) - (-6 + 51))
-5
Evaluate ((-24)/46)/(850/(-48875)).
30
What is ((-20276)/518)/137*(326 + 3)?
-94
(10/8)/(7 + ((-2616)/(-288) - 16))
15
2043/(-1362)*(-34)/(-12)
-17/4
61 + -9 + 16 + 2352/(-196)
56
What is (-81)/10368*-736*(30/18 - (-2 + 1))?
46/3
Evaluate -10 - 4 - (473/(-95) + (51 - 60)).
-2/95
What is (-20658)/462 - (-13 + 93/7)?
-45
What is -2*(90/54 - 3234/(-252))?
-29
What is the value of (13/1)/(50/(-2625) - (-2889)/2835)?
13
Evaluate 736/66 + (-14616)/189 + 64.
-24/11
What is the value of 14/60 - (-2)/(-6) - (-133 - 44260034/(-333060))?
2/183
Evaluate ((21 + 6 - 41) + (-75)/(-3) - 21) + -42.
-52
What is the value of 240/(-100)*((-2240)/(-252))/(-8)?
8/3
Calculate (-50)/18 - 820380/16335.
-53
Calculate 16184/202878 + ((-8)/(-26))/(-2) + 515/27.
19
Calculate -3*(-15)/2*584/730.
18
What is (221 + 74)*(-9 - 401/(-25) - (-7)/(-1))?
59/5
Calculate (3694/16623)/((-24)/54).
-1/2
Calculate (318/26818)/((-6)/4)*(-22)/8*2.
1/23
Evaluate ((-2)/8)/(((-51)/(-82824)*14)/(-2)).
58
Evaluate (((-13608)/396 - -34) + (-38)/(-165))/((-36)/(-15)).
-1/18
What is the value of (4032/180)/((-70)/(-175))?
56
((-72944)/(-139680) - ((-13)/(-10) + -1)/1)*3
2/3
Evaluate (4/6 + (-20)/105)/((-9357)/43666).
-20/9
What is (-576)/132 + -4 - (-4 + -3 + 3)?
-48/11
Evaluate (3820/9932)/(10/(-650)).
-25
What is the value of ((-5)/(-15)*0)/(357 - 361)?
0
What is the value of 213/((-7029)/(-924)) - -18?
46
61/45 + (-64940)/81175
5/9
What is 5/((-1860)/45 + 33)?
-3/5
What is the value of (2/135)/(7/(-245)*140/(-40))?
4/27
Calculate 48/(-9)*(-630)/(-171360).
-1/51
Calculate -5*((-6)/(-8) + (-11529)/8540)*-19.
-57
Calculate (-981)/141 - (5 - (-126)/(-9) - (-49 - -47)).
2/47
What is the value of ((-162)/486)/(-4 - (-1780)/444)?
-37
Calculate (99/(-2) + 0)*(-219 - (-23 - 194)).
99
Evaluate (58 + 9847/(-172))/(0 + (-14)/(-8)).
3/7
Evaluate (30/(-21))/(13/4*618/140595).
-100
((-838512)/29115)/(3 - (-36)/(-15))
-48
What is (-16)/336*7*(5 + (-170)/115 + -3)?
-4/23
What is the value of ((-5664)/336 - -25)/((-8)/56)?
-57
(2856/(-12852))/(230/234 + -1)
13
Evaluate 1176/(-49)*4092/(-992).
99
What is (-51)/(-6) + 10*549/(-610)?
-1/2
What is 10/12 + (24129/(-168) - -45)/(18/8)?
-43
What is (((-114)/646*-17)/(-60))/(16/(-20))?
1/16
What is (-1107)/(-70848) + (-314)/3712?
-2/29
Calculate (((-2340)/3)/26)/(0 - -3) + 2 + -6.
-14
Calculate (8 + 19)/(((-11)/(-44))/((-24)/(-32))).
81
Calculate (15 - (-2211)/(-143))/((22/(-130))/11).
30
(-2204)/76 - -18*5/(-15)*4/8
-32
What is the value of ((-240)/216 + 520/630)*5/(-35)*3?
6/49
Evaluate (0 - (-12)/4010)/(((-245796)/143381)/(40/14)).
-2/401
What is the value of (-43)/430*(-26 + 16)*-52?
-52
Calculate 1453/10171*49/1.
7
222/4*(66 - 10600/159)
-37
Calculate 5/(-25) + 476/(-20) + 35/(-10)*-2.
-17
Calculate (-660)/1100*(-75 - 0/(-1)).
45
What is (5 - (-5 - -11))/(2*(4 + 66/(-20)))?
-5/7
Evaluate (-135)/27 + (-4396)/490 - 126/(-9).
1/35
Calculate ((-25)/(-350)*42/4)/((-49)/392).
-6
Calculate (-11580)/(-4825) + 3792/(-1480).
-6/37
(-170)/(-2) + (6489 - 6651)
-77
What is the value of (-9720)/239760 - (-5541)/(-222)?
-25
Calculate 3/(-30)*5026/7 - (-109)/(13080/(-144)).
-73
Calculate -10 + (-104100)/6593 + 52/2.
4/19
(-1 - -4)/(272*3416/35840 - 26)
-40
20 + 3 - ((-8)/(-20) - 268/20)
36
What is (10/(-22) - 0)/(-381 + 2183508/5764)?
5/24
What is (-3264)/48 - (26 + -10 + -1)?
-83
What is (19/(-152))/((-24182)/(-3424))?
-2/113
What is (31/(1488/32))/(-2*6/(-522))?
29
What is the value of 4/50*5 + (12*15/300 - -59)?
60
Calculate ((6/10)/(456/380))/(((-12)/(-4))/360).
60
What is 47484/7914*(((-3)/15 - (-1699)/(-2130)) + 1)?
1/71
What is 6486/684 + 20 + 708/(-24)?
-1/57
(-9)/(-3) + (-616)/220 - 2/45*2
1/9
What is the value of (-50492)/871 - (232 + -290)?
2/67
(-110544)/90944 + (-5)/(-4)
1/29
(7363/111 - 43)*6/10
14
What is 9*1 - ((-22)/(-4))/(49210/80660)?
-2/133
Evaluate ((-78)/(-7))/(53010/12369).
13/5
What is the value of 0/(4 + (-35)/7) + (-144)/96?
-3/2
(-171)/(-2)*(2/(-5))/((-1725)/(-2875))
-57
Evaluate 186/(-171)*(-26676)/(-1368) - -22.
15/19
44/(-198)*(-163 - 35)
44
What is the value of (0 + (-48)/(-7))*(-289394)/(-186039)?
32/3
42/(-546) - 10707/1079
-10
What is (5 - ((-378)/34 + -2)) + (-90)/765?
18
Calculate (34/(-119))/(43/(74347/(-38))).
13
What is -5 + 14 - -2*((-4914)/1224 + 2/(-4))?
-1/34
Evaluate (4968/345)/((-852)/180 - -5 - (-6)/(-9)).
-36
Calculate 1404/(-135) + 122670/11925.
-6/53
What is the value of ((43956/(-330))/111)/((-36)/(-20))?
-2/3
Evaluate (3764 - 3788)/((-1)/(-2)).
-48
2 + -20*(-22)/(-220) - 69
-69
Evaluate 5 + (3/30 - 121/110)*109.
-104
Evaluate ((-21905)/(-455) - 48) + (-5 - (-3148)/651).
-2/93
What is the value of 147735/(-4690)*(-3)/14?
27/4
What is ((-6)/(-11))/((-252)/(-224))*(-60)/(-80)?
4/11
What is the value of 1700190/56673 + 1 + (25 - -1)?
57
What is the value of (4/16)/((-10)/(-440)) + (1 - 45)?
-33
What is the value of 49/(-3)*((-4)/(-20) - ((-1554)/15)/37)?
-49
What is 3 + (1 + 35 - (336 + -355))?
58
((-1623360)/672)/89 + (-6)/(-28)*-4
-28
What is ((-112)/253 - (-9138)/35029)/(10/11 - 1)?
2
(-8)/392*7 + 6/(-8736)*-124
-3/52
9 - ((416/(-216))/26 - (-5714)/594)
-6/11
What is 6/(-99) - (-18790)/2310*-7?
-57
Evaluate 6*(2/(-9))/(259*(-17)/(-357)).
-4/37
What is (-4450)/445 - (6*(-6)/(-24) - (-70)/4)?
-29
What is the value of -24 + -1 - ((-120923151)/16497)/293?
2/117
Calculate 18040/(-1968) - (-6)/36.
-9
What is (40762/267 + -34)/(16/(-12))?
-89
What is 12 + 12 + -88 + 116?
52
(3/12)/(2037/(-350364))
-43
What is 9/((-108)/56) + (111 - (-505839)/(-4761))?
2/23
Evaluate (187*45/(-5940))/(510/(-300)).
5/6
What is 12 + 810/60*216/(-243)?
0
What is ((-4 - 12) + (-1 - -14))/(((-54)/80)/(-9))?
-40
What is the value of (-3 + 36/30)/((4719/(-110))/(-11))*-26?
12
(-8)/(-3) - (35 + 30/((-1620)/(-414)))
-40
(-9 - -3 - (-1000)/50) + -44
-30
(85 + (-61683)/725)/((-4)/(-10) - (-9)/(-30))
-4/5
((-178467)/(-479880) + 18/(-48))/((-2)/(-6))
-2/215
Calculate 211/(-180) + 3*(-39)/(-585) + (-2)/(-2).
1/36
1 + 117 - (-1727104)/(-14672)
2/7
(6 + 240/(-28) - -15)/(15*5/350)
58
Calculate ((2 - 1)*240/(-2016))/(-1 + (12 - 6)).
-1/42
What is 6*(-2)/(-4)*11/3 - (-88500)/(-8496)?
7/12
Evaluate ((-8)/(-6) - 3287/3633)/((-9)/(-7)).
1/3
Evaluate -7047 + 7130 - 45/(-3).
98
What is the value of (3 - (-300)/5)*74/222?
21
What is the value of (-59 - (-2378)/41)*0?
0
Calculate (-14)/(-322)*3496/(-33744).
-1/222
Evaluate ((-683100)/(-20295))/(-138)*-1*1/20.
1/82
-65*14104/7826 + 121
27/7
What is (-24)/18*(-9405)/(-330)?
-38
Evaluate -23 - (42 + -62 - 132/(-6)).
-25
What is (-1)/4 + (-333)/(-13986)*(-747)/(-6)?
19/7
Calculate 6 + (46 - 48) + 29.
33
Calculate (-1)/((-3147)/150 + 111 + -90).
-50
What is the value of 336/64 + 31900/(-3248)?
-32/7
Evaluate (6/(-59))/((-2302)/271636).
12
(10608/884)/(16/12)
9
Evaluate (-64)/(-240) - 361984/3840.
-94
What is the value of (66/77)/(-42
|
{
"pile_set_name": "DM Mathematics"
}
|
he terms in 21*r - 56*r + 18*r + 21*r.
4*r
Collect the terms in -185 - 6*m + m**2 + 6*m.
m**2 - 185
Collect the terms in 179*d**3 + 197*d**3 - 124*d**3.
252*d**3
Collect the terms in 2400 - 2400 - 2*o**3.
-2*o**3
Collect the terms in 0*q**2 - 252 - 5*q**2 - q**2.
-6*q**2 - 252
Collect the terms in 3 + 2 - 5 + 3*x**3.
3*x**3
Collect the terms in -1383*a - 1384*a + 4142*a - 1375*a - 2*a**3.
-2*a**3
Collect the terms in 246*a**2 + 244*a**2 - 488*a**2.
2*a**2
Collect the terms in -14*x + x - 2*x + 0*x.
-15*x
Collect the terms in -18*o**3 - 14*o**3 - 6332*o + 6332*o.
-32*o**3
Collect the terms in -3*b**2 - 4*b**2 + 5*b**2.
-2*b**2
Collect the terms in 357*v**3 - 173*v**3 - 182*v**3.
2*v**3
Collect the terms in 11*i**2 + 90 + 96 - 186.
11*i**2
Collect the terms in 57*g - 21*g - 20*g - 15*g.
g
Collect the terms in -1 + 0 - p + 5*p.
4*p - 1
Collect the terms in 5*l**2 - 2*l**2 + 3*l**2.
6*l**2
Collect the terms in -10*c**3 + 9*c - 7*c - 2*c.
-10*c**3
Collect the terms in -504*w**3 + 83*w**3 - 12*w**3.
-433*w**3
Collect the terms in j**3 + 4*j**3 + 2*j**3 + 5*j**3.
12*j**3
Collect the terms in 3*l + l + 258 - 150 - 108.
4*l
Collect the terms in -11*d + 50*d - 37*d.
2*d
Collect the terms in -1602*b**2 - 964*b**2 - 790*b**2.
-3356*b**2
Collect the terms in -2548 + 2548 - 2*k**2 + k**2.
-k**2
Collect the terms in -86 - 13*p + 181 - 95.
-13*p
Collect the terms in -4*j + 4*j - 33*j**2.
-33*j**2
Collect the terms in 45*g - 71*g + 30*g.
4*g
Collect the terms in 25854*m + m**3 - 25854*m.
m**3
Collect the terms in -3*d**2 + 4*d**2 + 7*d**2 - 10*d**2 + d**2.
-d**2
Collect the terms in 2*x**3 - 197*x**2 + 0*x + 0*x + 197*x**2.
2*x**3
Collect the terms in -26*l + 25*l - 14*l.
-15*l
Collect the terms in 12 + 15 + 39 + h.
h + 66
Collect the terms in 17*q**2 + 2 - 17*q**2 - 6*q**3.
-6*q**3 + 2
Collect the terms in 40*n - 1 + 4 + 1.
40*n + 4
Collect the terms in 1411*u**2 + 0 + 0 - 1416*u**2.
-5*u**2
Collect the terms in 2*l + 0*l + 0*l + 0*l + 2*l.
4*l
Collect the terms in 453*o + 724*o + 134*o.
1311*o
Collect the terms in -10*y**2 + 7*y**2 - 4*y**2.
-7*y**2
Collect the terms in -97*x - x - 6*x.
-104*x
Collect the terms in 3*m - 5*m + 3*m - 14*m**2 - 2*m.
-14*m**2 - m
Collect the terms in -54*a + 215*a - 110*a.
51*a
Collect the terms in s**2 + 5*s**2 - s**2.
5*s**2
Collect the terms in -c**2 - 2398*c + 2398*c.
-c**2
Collect the terms in 2*l**3 - 2*l**3 - 15*l**3.
-15*l**3
Collect the terms in -104*y - 3 + 101*y + 3.
-3*y
Collect the terms in n**3 + 317646 - 317646.
n**3
Collect the terms in 2*d**2 - 4*d**2 + 0*d**2 - 2*d**2.
-4*d**2
Collect the terms in 73*j + 89*j - 139*j.
23*j
Collect the terms in -x + 4*x + x - 3*x.
x
Collect the terms in -x + x**3 + 4 - 4 - 3*x**3.
-2*x**3 - x
Collect the terms in -11*f**2 - 236*f + 236*f.
-11*f**2
Collect the terms in 22 + 4*q**3 - 48 - 5*q**3 + 26.
-q**3
Collect the terms in -235 - h**3 + 68 - 2*h**3.
-3*h**3 - 167
Collect the terms in 96*y**3 - 38*y**3 - 62*y**3.
-4*y**3
Collect the terms in 0 + 0 + 123*c.
123*c
Collect the terms in -113 + 228 + 29*g - 114.
29*g + 1
Collect the terms in -39*w - 1 + 1 - 174*w.
-213*w
Collect the terms in 153*m**3 - 510*m**3 - 88*m**3.
-445*m**3
Collect the terms in 9*c + 1 + 4 - 3.
9*c + 2
Collect the terms in -34*a**2 + 8*a**2 + 9*a**2 + 8*a**2 + 14*a**2.
5*a**2
Collect the terms in 58 + 8*r - 6*r + 4.
2*r + 62
Collect the terms in 47*p + 37*p + 0*p**2 - 11*p - p**2.
-p**2 + 73*p
Collect the terms in d**2 + 2 - 2.
d**2
Collect the terms in -10*j**2 + 6*j**2 - 6*j**2 + 0*j**2.
-10*j**2
Collect the terms in -16*r**2 + 6 + 5*r**2 - 6.
-11*r**2
Collect the terms in -102*f**2 - 1 - 101*f**2 + 168*f**2.
-35*f**2 - 1
Collect the terms in -2*c**2 + 4*c**2 - c**2 + 4.
c**2 + 4
Collect the terms in 1 + 127*s**3 - 129*s**3 - 1.
-2*s**3
Collect the terms in -63 + 19 + 44 + 27*m**3.
27*m**3
Collect the terms in -9 + 11 + 10*x - 10*x - 2*x**2.
-2*x**2 + 2
Collect the terms in 3455*t**3 + 1337*t**3 + 1528*t**3.
6320*t**3
Collect the terms in 6*n**2 - 3*n**2 - 300300*n + 300300*n.
3*n**2
Collect the terms in -501*s**2 - 512*s**2 + 1010*s**2.
-3*s**2
Collect the terms in -61*a**3 + 117*a**3 - 52*a**3.
4*a**3
Collect the terms in -1 + 563*u**3 + 1.
563*u**3
Collect the terms in -45*f**3 + 25*f**3 + 26*f**3.
6*f**3
Collect the terms in -4092*l**2 + 1 - 1820*l**2 - 1.
-5912*l**2
Collect the terms in -4*l + 6*l + 9*l - 6*l - 4*l.
l
Collect the terms in 37*s**2 - 2 + 4 - 35*s**2 - 2.
2*s**2
Collect the terms in 0*g**2 + 18379*g**3 + 0*g**2 - 18377*g**3.
2*g**3
Collect the terms in 5*q**3 + 1281*q**2 - 1281*q**2 - q**3.
4*q**3
Collect the terms in 36*c**2 + 14*c**2 - 5*c**2.
45*c**2
Collect the terms in 2*p**3 + 0*p**3 + p**3 + 22.
3*p**3 + 22
Collect the terms in -5*w**2 - 1452*w + 1452*w - 9*w**2 + 4*w**2.
-10*w**2
Collect the terms in 17*t**3 + 21*t**3 + 21*t**3.
59*t**3
Collect the terms in -12*t**2 + 20*t**2 - 3*t**2.
5*t**2
Collect the terms in -3*s**3 - 3*s + 6*s**3 + 3*s - 5*s**3.
-2*s**3
Collect the terms in -5*b**3 + 29*b**3 + 37*b**3.
61*b**3
Collect the terms in -67*s**3 + 125*s**3 - 4 + 4.
58*s**3
Collect the terms in -172 + 339 - 167 - 2*b.
-2*b
Collect the terms in 4*h**2 - 1254*h + 2510*h - 1256*h.
4*h**2
Collect the terms in -28 - 23 + 51 + 87*s**2.
87*s**2
Collect the terms in -37*n - 44*n - 5 + 62*n + 5.
-19*n
Collect the terms in 20*l**3 - 607 + 607.
20*l**3
Collect the terms in -2*x - 6*x + 11*x - 5*x + 3*x.
x
Collect the terms in -8*y - 2 + 2.
-8*y
Collect the terms in -h**2 + 0*h**2 + 5*h**2 - 6*h**2.
-2*h**2
Collect the terms in -221*r + 114*r - 33 + 108*r.
r - 33
Collect the terms in -652*h + 11*h**3 + 652*h.
11*h**3
Collect the terms in -2*f + 41*f + 0 + 0.
39*f
Collect the terms in 17*k**2 + k**3 - 17*k**2 - 2*k**3.
-k**3
Collect the terms in -14*x + 8*x + 3*x.
-3*x
Collect the terms in -10*l**3 + 10*l**3 + 0*l**3 + 2*l**3.
2*l**3
Collect the terms in -6 - 1 + 7 + 2*r**2.
2*r**2
Collect the terms in 2*j**2 - 2*j**2 - 4*j**2 - 2*j**2.
-6*j**2
Collect the terms in -2*q**2 + 8*q**2 + 9*q**2 - 4*q**2.
11*q**2
Collect the terms in 5*o**3 + 9*o**3 - 11*o**3.
3*o**3
Collect the terms in -7*t - 2*t + 7*t + 5*t - t.
2*t
Collect the terms in -7*i**2 - i**2 + i**2 + 12*i**2.
5*i**2
Collect the terms in 11*m**3 - 6*m**3 - 2*m**3.
3*m**3
Collect the terms in 26*u - 4*u + 19*u - 11*u.
30*u
Collect the terms in 100 + t**2 + 6*t**2 + 11*t**2 - 99.
18*t**2 + 1
Collect the terms in 6 + f - 8 - 27 - 2.
f - 31
Collect the terms in 230*o**2 - o + 2*o - 2*o.
230*o**2 - o
Collect the terms in 184*l - 40*l**2 - 184*l + 2*l**2.
-38*l**2
Collect the terms in 17 + v**2 - 3*v**2 - 4*v**2 + 5*v**2.
-v**2 + 17
Collect the terms in -124*x**2 - 14*x**2 - 27*x**2.
-165*x**2
Collect the terms in -1 - 58*i + 46*i + 1.
-12*i
Collect the terms in 29*n**2 - 65*n**2 + 23*n**2.
-13*n**2
Collect the terms in 8 - 42 + 28 + 6 + 9*g.
9*g
Collect the terms in 58*m**2 - 155*m**2 + 49*m**2 + 51*m**2.
3*m**2
Collect the terms in -1144*z - 1178*z + 0*z**3 + 2322*z + z**3.
z**3
Collect the terms in 4*x**2 + 28*x**2 + 45*x**2.
77*x**2
Collect the terms in -40 + 40 - 6*i**2 - 4*i**2.
-10*i**2
Collect the terms in -9*f**2 + 10*f - 3*f + f.
-9*f**2 + 8*f
Collect the terms in -1 + 4 - 3 + 8*k.
8*k
Collect the terms in -6*g**2 + 0*g**2 + 35 + 44 - 79.
-6*g**2
Collect the terms in 102*q**3 + 34 - 34.
102*q**3
Collect the terms in -13331*q + 3 - 2*q**2 + 13331*q - 3.
-2*q**2
Collect the terms in -39*d**3 + 85*d**3 - 45*d**3.
d**3
Collect the terms in -2*s**2 - 2*s**2 + 1400*s - 1400*s.
-4*s**2
Collect the terms in 20 - 427*c + 427*c - 2*c**2.
-2*c**2 + 20
Collect the terms in -3 + 2 + 11*n**3 - 289*n - n**3.
10*n**3 - 289*n - 1
Collect the terms in -615*x**2 - 572*x**2 + 154*x**2.
-1033*x**2
Collect the terms in 1579 - 3*h**2 + h**2 + 1577 - 3156.
-2*h**2
Collect the terms in 334*p - 334*p - 2*p**2.
-2*p**2
Collect the terms in -13*w**2 + 8*w**2 - 24*w**2.
-29*w**2
Collect the terms in -2*z + 2*z + 4*z - z.
3*z
Collect the terms in -2*b**2 + 18*b**2 - 4 + 2*b**2 + 8*b**2.
26*b**2 - 4
Collect the terms in -4*t**3 + 80*t**3 + 74*t**3.
150*t**3
Collect the terms in -s + 7*s + s**3 - 29*s**3 - 6*s.
-28*s**3
Collect the terms in -41*b**3 - 48*b**3 - 4*b**3.
-93*b**3
Collect the terms in 39*g + 36*g - 110*g + 35*g + 3*g**2.
3*g**2
Collect the term
|
{
"pile_set_name": "DM Mathematics"
}
|
/108 + (-4)/18 is divided by b.
9
Let a(r) = r**3 - 8*r**2 + 6*r + 2. Let w be a(7). Let z(c) = -c**3 - 5*c**2 - 4*c + 6. Calculate the remainder when 103 is divided by z(w).
25
Suppose -125 = -3*m - b, -2*m + 3*b = -47 - 51. Let k = -47 - -75. Let y = k + -13. What is the remainder when m is divided by y?
13
Suppose 49 + 26 = 5*f. Calculate the remainder when 4 is divided by 18/f*(-25)/(-10).
1
Suppose -1152 = -4*k - 5*i, 5*k - 3*i - 1485 = 2*i. What is the remainder when k is divided by 49?
48
Let d(s) = 4*s**3 - s**2 + 2*s - 1. Calculate the remainder when d(3) is divided by 36.
32
Calculate the remainder when 58/(-4)*(1 - 9/3) is divided by 11.
7
Let a = -25 + 27. Suppose a*f = -4*r + 94, -4*f - 60 = -3*r - 2*f. Calculate the remainder when r is divided by 6.
4
Let b(o) = 14*o + 1. Calculate the remainder when b(1) is divided by 6.
3
Let z(s) = s**3 + 3*s**2 - 1. Suppose -15 = 3*i + 2*i. Let o be z(i). Let f(n) = 40*n**2 - n. Calculate the remainder when f(o) is divided by 14.
13
Let w(r) = r**2 + 12*r + 7. Let i be w(-11). Let a = 31 + i. What is the remainder when 51 is divided by a?
24
Let r = -326 + 626. Suppose -i = -2*i - 5*k + 87, 4*i - r = 4*k. What is the remainder when i is divided by 20?
17
Let u(t) = -t. Let v(w) = 3*w + 6. Let g(a) = 4*u(a) + v(a). Let b = 23 + -18. What is the remainder when 1 is divided by g(b)?
0
Suppose 5*k - 6 = -2*x - x, -2*x - 6 = 0. Suppose 5*s - k*s - 44 = 0. What is the remainder when s is divided by 4/(-10) + (-42)/(-5)?
6
Suppose 4*c - 345 = c. Suppose -2*v + 57 = -5*a, 5*v - c = -5*a - 25. Calculate the remainder when 40 is divided by v.
19
Calculate the remainder when 21 is divided by 0 + 1*(14 + -3).
10
Let d(s) = 0 + 3*s - 2*s - 9. Let q be d(6). Calculate the remainder when ((-282)/4)/q*2 is divided by 16.
15
Suppose -9 = -2*h + 5. Suppose 0 = -2*f + h + 21. What is the remainder when f is divided by 5?
4
Suppose 2*b + 5*i + 13 = b, 2*b = 3*i. Let o = 13 - b. What is the remainder when o is divided by 6?
4
Let m(j) = j**2 - j - 4. Let w be m(3). Let d(c) = -15*c + 1 - c**2 - w*c + 10*c. Calculate the remainder when 20 is divided by d(-6).
6
Let x(g) = 6*g - 2. Let w(v) = 1. Let m(o) = -w(o) - x(o). Suppose 80 = 4*q - 3*k, -2*q + 32 = -3*k - 8. Calculate the remainder when q is divided by m(-1).
6
Suppose 0 = s - 5*h - 93, -s = s + 5*h - 231. What is the remainder when s is divided by 22?
20
Let a(g) = -g**3 + 6*g**2 + 3*g - 7. Calculate the remainder when 17 is divided by a(6).
6
What is the remainder when 26 is divided by (-12)/18 + 69/9?
5
Suppose -28 - 4 = -5*l - 4*w, 3*l - 2*w = 28. What is the remainder when 38 is divided by l?
6
Suppose -4*q - 82 = -5*s, 0 = 2*s - 0*q - 3*q - 37. Suppose 66 = 6*x - 90. What is the remainder when x is divided by s?
12
Let h = -39 - -54. What is the remainder when 44 is divided by h?
14
Let t(l) = 2*l**3 - l**2 - 2*l - 1. Let m be t(2). Suppose -5*v - m + 82 = 0. Calculate the remainder when 28 is divided by v.
13
Suppose 0 = -3*z - 0*z + 30. Calculate the remainder when 19 is divided by z.
9
Let q(o) = 1 - 3 + o**3 - 3*o**2 + 2*o + 5. Calculate the remainder when q(3) is divided by -145*9/(-225) - 4/5.
4
Let v(g) = -4 + 4 - 1 + g + 7*g. Let d be v(1). Suppose x + d*p = 3*p + 24, -4*x = 4*p - 36. Calculate the remainder when x is divided by 3.
1
Calculate the remainder when 1230/25 + (-2)/10 is divided by ((-4)/6)/((-4)/78).
10
Suppose 11*a + 2*a - 3549 = 0. Calculate the remainder when a is divided by 23.
20
Suppose -2*w + 8 = -6*w. Let l be 5/(5/w) - 2. Calculate the remainder when 34 is divided by 2/l - 74/(-4).
16
Let j(t) = -11*t - 1 + 2 - 10*t. What is the remainder when j(-2) is divided by 15?
13
Suppose -i + 2*i - 3*b - 48 = 0, 0 = 5*i + b - 176. Suppose -h - 2*h = -i. What is the remainder when 6/(((-2)/(-11))/1) is divided by h?
9
What is the remainder when 27 is divided by (-6)/9 + (-105)/(-9)?
5
Suppose 0 = 4*v - 2*v - 28. Suppose p - 20 = -4*p, r + 5*p = 76. Suppose -3*n + r + 22 = 0. What is the remainder when n is divided by v?
12
Suppose 0 = -z + 43 - 5. Suppose 4*u = 2*u + 10, 2*k - 3*u = 1. Suppose -z + k = -2*a. What is the remainder when 28 is divided by a?
13
Let y(l) = l**2 - 6*l - 11. Let o be y(8). Suppose 3*m - o*m + 28 = 0. Let a(n) = -5*n**3 + n**2 + 2*n + 1. What is the remainder when m is divided by a(-1)?
4
Let g be -3*5*(-24)/(-20). Let k = 33 + g. Calculate the remainder when 28 is divided by k.
13
Suppose -4*m + 9*m - 15 = 0. Suppose 6 = -0*u + m*u. Suppose 2*g - 23 = -n - g, -u*n + 18 = -g. What is the remainder when n is divided by 6?
5
Suppose -p + 11 - 3 = 0. Calculate the remainder when p is divided by 4.
0
Suppose 2*x + 2*x = 172. What is the remainder when x is divided by 1/(1/(-60)*-4)?
13
Suppose 3*s + 427 = 5*r, -2*r + 3*s + 255 = r. Calculate the remainder when r is divided by (-11 - -10)*-22*1.
20
Let u(s) = -s**2 - 10*s + 14. Suppose -4*p = -22 - 6. What is the remainder when p is divided by u(-11)?
1
Let t(d) = d**3 + 3*d**2 - 5*d - 2. Let v be t(-4). Suppose -2 = v*f + 2. What is the remainder when 1 is divided by f*((-2)/(-4) + -1)?
0
Suppose -5*n + 255 = -4*f, -60 - 93 = -3*n - 2*f. What is the remainder when n is divided by 13?
12
Let w(a) = -1. Let o(u) = -4*u - 1. Let k(b) = -o(b) + 2*w(b). Let x be (-1)/((27/6)/(-9)). What is the remainder when 12 is divided by k(x)?
5
Let k = 2 + 9. Suppose v + 69 = 5*b, b - 3*v = -0*b + k. What is the remainder when b is divided by 3?
2
Suppose 0 = 2*t + 3*t. Let h = 4 - t. Calculate the remainder when h is divided by 3.
1
Suppose 2*l + 3*a + 24 = 61, -2*a = 2. What is the remainder when 34 is divided by l?
14
Let v(p) = p**3 - 11*p**2 + 6*p - 11. Let f be v(12). Suppose -5*k + f + 140 = 0. Suppose 5*g - 56 = k. What is the remainder when g is divided by 9?
7
Suppose -d + 6 = d. Suppose -36 = -d*a - 0. What is the remainder when 23 is divided by a?
11
Let a = -4 - -6. Let f(t) = 19*t + 4. What is the remainder when f(0) is divided by a?
0
Suppose -5*z + 2*u - 6 = -36, 0 = -z - 2*u + 6. Suppose z*v - v = 470. Suppose -4*q = -3*q + 5, -v = -3*o + 5*q. What is the remainder when o is divided by 12?
11
Let c(n) = -n**2 + 7*n + 1. What is the remainder when 43 is divided by c(5)?
10
Suppose 2*n - n - 41 = 0. Let z = n - 28. Calculate the remainder when 22 is divided by z.
9
Let m(g) = -2*g**2 + 2*g + 7. Let a be m(3). Let h(u) = u**2 + 2*u. Calculate the remainder when 27 is divided by h(a).
12
Let w(g) = -6*g - 2. Let s be w(-5). What is the remainder when ((-266)/s)/(2/(-12)) is divided by 20?
17
Let b(v) = -16*v**3 - v - 1. Let w be b(-1). Let y = w + -10. Let q = y - -14. What is the remainder when 38 is divided by q?
18
Let q = 11 + 35. Calculate the remainder when q is divided by 16.
14
Suppose 0*y - 4 = -2*y. Let r = 19 - 9. Calculate the remainder when r is divided by y - (-2 + 3 + -3).
2
Suppose -5*q + 4*q + 7 = 0. Calculate the remainder when q is divided by (-133)/(-42) + 2/(-12) + 2.
2
Let u(z) = 3*z**2 + z. Calculate the remainder when 7 is divided by u(1).
3
Suppose -4*d + 7*m = 2*m - 52, 4*d - 4*m = 52. Suppose -j + 246 = 2*j. Let f = j + -44. What is the remainder when f is divided by d?
12
Let z(b) = 17*b**2 - 1. What is the remainder when z(2) is divided by 34?
33
Let t = 8 - 4. Suppose 1 = -w - 4*g, 0 = -2*g - 2*g - t. Suppose 28 = w*p - 2*u, 0 = 2*p - 3*u - 11 - 6. What is the remainder when 29 is divided by p?
9
Let j = 119 - 96. Calculate the remainder when 64 is divided by j.
18
Suppose 30 = 4*m - m. Calculate the remainder when 17 is divided by m.
7
Let n = 20 + -11. Calculate the remainder when 25 is divided by n.
7
Let q = 2 - 5. Let h = 0 - q. Suppose -x = -5 + h. Calculate the remainder when 4 is divided by x.
0
Suppose -m = -5*m + 28. Suppose 5*v - v - 12 = 0. Let q(u) = 7*u - 2. What is the remainder when q(v) is divided by m?
5
Let l(y) be the third derivative of y**5/60 + 5*y**3/6 - 5*y**2. What is the remainder when l(6) is divided by 11?
8
What is the remainder when 118 is divided by 6/2*(-8 + 13)?
13
Let x = 12 + 18. Let v = -18 + x. What is the remainder when 2 - (4 + 92)/(-3) is divided by v?
10
Let y = 5 + -1. Let v be 6/(-1)*(-26)/y. Suppose -3*n - 4 = -4*n + 3*x, 0 = 5*n + 4*x - v. What is the remainder when 19 is divided by n?
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(7)/2
Simplify ((sqrt(1872)*1)**2 - (sqrt(13) + 0)*1) + -3 + -6*(-2*sqrt(468)*4)**2.
-177843 - sqrt(13)
Simplify (5 + (sqrt(36)/(sqrt(2)*2) - sqrt(162)/sqrt(441)))*5.
75*sqrt(2)/14 + 25
Simplify 5*(2 + sqrt(1872) + sqrt(1872)*2 - (2 + sqrt(1573)*2)).
70*sqrt(13)
Simplify sqrt(204)/(3*sqrt(432)) - ((sqrt(51)*-1 - sqrt(51))/sqrt(3) + 3)**2.
-77 + 217*sqrt(17)/18
Simplify ((-4*(sqrt(99) - (sqrt(99) + (sqrt(99) - -2*sqrt(99)*-3))))/((sqrt(324) - -1*sqrt(324)*-3) + sqrt(324)))**2.
1100/9
Simplify (-5 + ((-2*(sqrt(85) + -1*sqrt(85)))/(sqrt(45)/(sqrt(9)*-1)))**2)*1.
-5
Simplify ((-2*-1*(sqrt(99) + -1*sqrt(99)))/(2*(sqrt(1296) + (sqrt(1296) + sqrt(1296)*-2 - sqrt(1296)))))**2 + 5.
5
Simplify ((4*(-2*sqrt(150))/sqrt(10))/(sqrt(30)/sqrt(90) - (1*sqrt(33))/sqrt(11)))**2.
720
Simplify (sqrt(320) + -1*sqrt(320)*2 + sqrt(320))/(-6*(sqrt(64) + sqrt(64)*-2 - sqrt(64)) + sqrt(64) - sqrt(64)).
0
Simplify -4*((sqrt(34)/sqrt(2) - sqrt(17)) + sqrt(17) + -4)**2 - (sqrt(51)/(sqrt(27)/(sqrt(36)/sqrt(4))))**2.
-149 + 32*sqrt(17)
Simplify (4 + -2*sqrt(363) + 1*-2*sqrt(363) - (2 + sqrt(363) + -5)*4)**2.
-2816*sqrt(3) + 23488
Simplify 5 + (0 + sqrt(147)*-2)**2*5 + -2 + (sqrt(147) + 0 + 2)**2.
28*sqrt(3) + 3094
Simplify ((-2*sqrt(204))/sqrt(12))**2 - (-2*sqrt(17) + -3)**2 - (-1 + sqrt(68)/sqrt(4) + sqrt(17) + (sqrt(170) - sqrt(170)*-1)/sqrt(10)).
-16*sqrt(17) - 8
Simplify (sqrt(34)/sqrt(2) + sqrt(17) + -5 + sqrt(17) + sqrt(17) + -2*sqrt(153) + 4*sqrt(272) + 5*2*sqrt(17))**2 + 3.
-240*sqrt(17) + 9820
Simplify (sqrt(128) - (-2*(sqrt(128) + 1) - sqrt(128)))**2 + (1*sqrt(3456))/sqrt(12).
140*sqrt(2) + 2052
Simplify (5 + 2*sqrt(25)/(sqrt(20)/sqrt(4)) - ((sqrt(75)*1 + sqrt(75))/sqrt(3))/(sqrt(5) + sqrt(500)*-2 + sqrt(5)))**2.
190*sqrt(5)/9 + 3830/81
Simplify 3*((sqrt(189) + ((sqrt(189) - (sqrt(189) + sqrt(189) + sqrt(189)*1)) + sqrt(189) + sqrt(189) - sqrt(189)))/sqrt(7) + -2).
-6
Simplify sqrt(320) + sqrt(320)*2 - 2*(sqrt(15)/sqrt(3))**2 - ((sqrt(40)/sqrt(4))/sqrt(2) + 3).
-13 + 23*sqrt(5)
Simplify (((sqrt(68) - -3*sqrt(68))*6)/(sqrt(36)/(sqrt(9) + sqrt(9) + sqrt(81)/sqrt(9))))**2.
88128
Simplify (((sqrt(187) + -1*-2*sqrt(187))*-4)/(-6*sqrt(176)*2))**2.
17/16
Simplify (sqrt(605) - (0 + sqrt(605))*-6) + (-3*sqrt(35))/sqrt(7) + 0.
74*sqrt(5)
Simplify (-4*(sqrt(119) - (sqrt(119) - 3*sqrt(119))))/(sqrt(35)/sqrt(5)*-4).
3*sqrt(17)
Simplify (0 + sqrt(19) + 0)**2 + 3 + -1 + sqrt(19) + (6*sqrt(209)*1)/sqrt(11).
21 + 7*sqrt(19)
Simplify (4*sqrt(88)*3)/((sqrt(56)/sqrt(4)*2)/sqrt(7)).
12*sqrt(11)
Simplify 2 + (sqrt(128) - (-2*sqrt(128) + 4))*5*-1.
-120*sqrt(2) + 22
Simplify ((1*sqrt(440))/sqrt(8))/(sqrt(33)/(sqrt(9)/sqrt(3)) + sqrt(11)) - (0 + sqrt(20) + sqrt(20) - sqrt(5) - (sqrt(5) - (-3*sqrt(125) + sqrt(125)))).
17*sqrt(5)/2
Simplify ((-5*1*sqrt(245))**2 - -4*sqrt(245)*2) + ((sqrt(245) - (sqrt(245) + 0))*-2)**2 + -4.
56*sqrt(5) + 6121
Simplify (sqrt(99) - (sqrt(99) - -5*(sqrt(99) - sqrt(99)*-2) - sqrt(99)) - (sqrt(99) - -2*sqrt(99))*6)/(-1*sqrt(225)*-5).
-32*sqrt(11)/25
Simplify 1 + (sqrt(1700) - (sqrt(1700)*-2)**2*4)*-2.
-20*sqrt(17) + 54401
Simplify (-6*(sqrt(78) - ((sqrt(78) - (sqrt(78) - -2*sqrt(78))) + sqrt(78))))/sqrt(6) - (-3 + (sqrt(13) - (sqrt(130) + sqrt(130)*-1)/sqrt(10))).
-13*sqrt(13) + 3
Simplify ((sqrt(36) - -3*sqrt(144))/(sqrt(1452)*-2))**2.
147/484
Simplify -4 + (3*sqrt(3)*-3*-6 + 5*(sqrt(363) - sqrt(363)*-3))**2.
225224
Simplify ((4*sqrt(108)*2 + sqrt(108))/sqrt(6) + 3)*-4 + -2.
-108*sqrt(2) - 14
Simplify ((sqrt(243) - sqrt(243)*-6) + -2)**2*-1*-4.
-1008*sqrt(3) + 47644
Simplify 1 + 6*(5 + -2 + sqrt(7) + (sqrt(448) + (1*sqrt(448) + sqrt(448) - sqrt(448)))**2).
6*sqrt(7) + 10771
Simplify ((sqrt(432) + (sqrt(432) - sqrt(432)*3 - sqrt(432) - sqrt(432))*-5 + sqrt(432))/((sqrt(4) - sqrt(44)/sqrt(99)) + sqrt(16)/(2*sqrt(4))))**2.
1881792/49
Simplify ((sqrt(475)*1*6 - ((sqrt(475) - (-5 + (sqrt(475)*2 - sqrt(475) - sqrt(475)) + sqrt(475) + sqrt(475))) + sqrt(475)))*3)**2*-4.
-616500 + 10800*sqrt(19)
Simplify -3 + (5*(sqrt(1584) + -4 + sqrt(1584))*-6)**2.
-172800*sqrt(11) + 5716797
Simplify sqrt(343) + (1 + sqrt(343))**2 + 5 + sqrt(343) + sqrt(343) + sqrt(63)/((1*sqrt(108) + sqrt(108))/sqrt(12)).
71*sqrt(7)/2 + 349
Simplify 2 + (-2 + sqrt(19) + 3)**2 + (sqrt(475) - (sqrt(475) + (sqrt(475) - (sqrt(475) + sqrt(475)*4))))**2.
2*sqrt(19) + 7622
Simplify ((sqrt(95) - (sqrt(95) - -2*sqrt(95)))*3*6)/(-6*(sqrt(5) + sqrt(15)/sqrt(3))*-6).
-sqrt(19)/2
Simplify ((sqrt(1539) - 4*(sqrt(1539) + 1 - sqrt(1539)) - sqrt(1539) - (sqrt(1539) - -6*(-1 + sqrt(1539))) - (2 + sqrt(1539))*1*6) + 3)**2.
1638*sqrt(19) + 260140
Simplify (sqrt(102) + sqrt(102)*3*-1)/(sqrt(48)/(-4*sqrt(8))).
8*sqrt(17)
Simplify (-1*sqrt(275) + sqrt(275))*-6 + sqrt(275) + -4 + (-2 + sqrt(275)*3)**2*6.
-355*sqrt(11) + 14870
Simplify (2*(4*-4*sqrt(1573) + 5)*-4)**2.
-112640*sqrt(13) + 25773632
Simplify (-5 + 5*(sqrt(171) + -1 - sqrt(171)))**2 + -6*(sqrt(171)*2)**2*-5.
20620
Simplify -2*(4 + (sqrt(143) - (sqrt(143)*-2*-1 - sqrt(143)))/(sqrt(880)/sqrt(5))).
-8
Simplify (sqrt(700)*1 + -4 + 2 + sqrt(343)*1)**2.
-68*sqrt(7) + 2027
Simplify (-5*sqrt(2299)*-1*6 - (-3*(sqrt(76)*-2 + sqrt(76)))/(-5*sqrt(8)/sqrt(2)))**2.
51915771/25
Simplify ((sqrt(1872) + sqrt(1872) + 1 - -2*sqrt(13)*2)**2 - 5*(sqrt(208) + -4)**2)*4.
864*sqrt(13) + 36292
Simplify sqrt(891) + ((sqrt(891)*1 - sqrt(891))*-4)**2 + -2 + (1*sqrt(891))**2 + sqrt(891) + 2.
18*sqrt(11) + 891
Simplify (4*2*sqrt(209) + (sqrt(209) + sqrt(209) + 1*sqrt(209))*4)/(sqrt(66)/(sqrt(24)/sqrt(100))).
4*sqrt(19)
Simplify ((-1*sqrt(1200))/(sqrt(4) - sqrt(324)*3)*-6)**2.
2700/169
Simplify 6*-6*((sqrt(1331) + 1 + sqrt(1331) - sqrt(1331))*-2 + 4).
-72 + 792*sqrt(11)
Simplify ((sqrt(504) + sqrt(504)*-2)/sqrt(8) - ((sqrt(63) - sqrt(1008)) + 2) - (1 + -2 + -1*sqrt(7))*3)**2.
18*sqrt(7) + 568
Simplify (4*-1*sqrt(35)/sqrt(5) + 6*sqrt(28)/sqrt(4)*-6)**2 + -2.
11198
Simplify (-6*2*sqrt(121) + (sqrt(121) + sqrt(121) + sqrt(121)*-2 + sqrt(121))*2)/((sqrt(99) + sqrt(99)*-2)*1).
10*sqrt(11)/3
Simplify (((1 + sqrt(1377) - sqrt(1377) - sqrt(1377))*-3 - 1*(sqrt(1377) - (sqrt(1377) + 0 + sqrt(1377)))) + (sqrt(1377) + -2 + 5 - sqrt(1377))*6)**2.
1080*sqrt(17) + 22257
Simplify (4*(1*sqrt(70) - sqrt(70))/sqrt(5))/(sqrt(200)*-2 - sqrt(72)*-1).
0
Simplify (-2*sqrt(190)*-4*-5)/((-2*sqrt(70)*-3 - sqrt(70))/sqrt(7)).
-8*sqrt(19)
Simplify -4 + 1*(2*(5 + sqrt(176)) + sqrt(176))**2 + 0.
240*sqrt(11) + 1680
Simplify ((sqrt(77) + 4*(sqrt(77) - ((-2*sqrt(77) - sqrt(77)) + sqrt(77))) + sqrt(77))/(((sqrt(11) + sqrt(44)/sqrt(4))*3 - sqrt(11)) + sqrt(11))*2)**2.
1372/9
Simplify (2*sqrt(288) + sqrt(198)/(sqrt(11)*-1))/(sqrt(90)/(sqrt(40)*-6)).
-84*sqrt(2)
Simplify sqrt(108) + sqrt(108)*-2*2 + (sqrt(108) - (((sqrt(108) - (sqrt(108) + 0)) + sqrt(108))**2 + 3)) + 0 + 2*sqrt(108).
-111
Simplify (2*sqrt(7)*2 + 6*sqrt(7)*-1 - (sqrt(252) + 4)*-6)**2.
1632*sqrt(7) + 8668
Simplify (2 + sqrt(32)*-1 + 0)*-6.
-12 + 24*sqrt(2)
Simplify (sqrt(112) - (3 + sqrt(112)*-2)) + (sqrt(112) + (sqrt(112) - sqrt(112)*-2)*6)**2 + -1*sqrt(112)*6 + (sqrt(112) + -1 + -4)**2.
-52*sqrt(7) + 40566
Simplify -3 + (sqrt(2736)*-1 + 2 - (sqrt(2736)*1*-1 - sqrt(2736))**2) + 3.
-10942 - 12*sqrt(19)
Simplify 3*(((sqrt(672) - (sqrt(672) + -1*sqrt(672)))/sqrt(6))**2 - (5 + (sqrt(7) + 2)*-5)**2).
-150*sqrt(7) - 264
Simplify ((sqrt(99) - 2*(sqrt(99)*-2 + sqrt(99)) - sqrt(99)) + (sqrt(99) - (-2 + sqrt(99))) + -3)**2 + 1.
-12*sqrt(11) + 398
Simplify 1 + (sqrt(21) - (sqrt(21) - (-1*sqrt(252) - sqrt(252))/sqrt(12)))/sqrt(7) + sqrt(33)/(-2*sqrt(22)/sqrt(2)).
-5*sqrt(3)/2 + 1
Simplify (-2*(sqrt(12) + sqrt(1764)/sqrt(3))*-5)**2.
76800
Simplify (4 + -1*sqrt(891))**2 - sqrt(77)/sqrt(28)*6.
-75*sqrt(11) + 907
Simplify 2*(-1*sqrt(22)/sqrt(32))**2*3.
33/8
Simplify ((-5*(sqrt(170)*1 + sqrt(170)) - sqrt(170) - sqrt(170))*-3)/(sqrt(1440)*-1*-2 + sqrt(1440)).
sqrt(17)
Simplify (sqrt(228) + -4*sqrt(228)*-4)/sqrt(12) - (-3 + 3 + sqrt(931)).
10*sqrt(19)
Simplify sqrt(4)/(sqrt(6)/sqrt(3)) + (sqrt(12) + 3*sqrt(12))/sqrt(6) + -4.
-4 + 5*sqrt(2)
Simplify (-5*((sqrt(133) - (sqrt(133) + sqrt(133) + (sqrt(133) - 1*sqrt(133)*1) + sqrt(133))) + sqrt(133) - sqrt(133))/(-2*sqrt(7)*1))**2.
475
Simplify -2 + ((sqrt(7) + 1)**2 + 1 - sqrt(7)) + 2 - ((sqrt(1694)*2)/(sqrt(162) - (-1*sqrt(162) -
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*q. Calculate the remainder when 53 is divided by s.
4
Suppose -5*o = -2*z + 21, -4*o - 9 = 3. Suppose -5*u + 290 = -w, -u - 4*w = z*u - 256. What is the remainder when u is divided by 4 + -6 - (-1 + -31)?
29
Let g = -722 - -857. What is the remainder when 941 is divided by g?
131
Let r(i) be the first derivative of 86*i**3/3 + 3*i**2/2 - i + 39. What is the remainder when r(1) is divided by 9?
7
Suppose -2*k + 17 = -7. Let p be (-4)/14 + 112/49. Calculate the remainder when 3 - (6/p - 22) is divided by k.
10
Suppose 2*u - 5*u + 30 = 0. Suppose 0 = 3*t + 4*x - 45, 4*t - 4*x - 53 = 7. Calculate the remainder when ((-12)/u)/(4/(-190)) is divided by t.
12
Suppose 3*g = -3*s + 15, 2*g + 5*s - 6 = 7. Suppose -9 = -g*h + 239. Suppose 13 = 3*a - 26. Calculate the remainder when h is divided by a.
10
Calculate the remainder when 19 - (40/8)/5 is divided by 6.
0
Let v(t) = -t**3 + 5*t**2 + 24. Suppose 2*s = 5*y - 23 - 12, 10 = 4*y + 2*s. Calculate the remainder when 65 is divided by v(y).
17
Suppose -o + 56 = 3*o. Let g(j) = 12*j + 4. Let q be g(5). Let r = -11 + q. What is the remainder when r is divided by o?
11
Suppose 0 = -14*j + 78 + 216. What is the remainder when 1217 is divided by j?
20
Let q = 676 + -628. What is the remainder when 230 is divided by q?
38
Calculate the remainder when (710/(-8))/(-1) + (-8)/(-32) is divided by 13.
11
Let q(m) = 35*m**2 + 37 - 1 - 36*m**2 + 17*m. What is the remainder when q(17) is divided by 13?
10
Suppose 0 = -15*f + 4641 + 729. What is the remainder when f is divided by 36?
34
Let d(b) = b**3 + b - 2. Let v be d(1). Suppose -6*a + v*a = -84. What is the remainder when 26 is divided by a?
12
Let j(l) = 13*l - 4. Let u be j(5). Suppose 3*c - q = -u, 0 = c + 4*c - 2*q + 101. Calculate the remainder when 38 is divided by (-6)/c + 1160/56.
17
Let n(g) = -72*g + 113. What is the remainder when n(-2) is divided by 24?
17
Suppose 0*w + 5*w - 115 = 0. Let t = 37 - w. What is the remainder when 51 is divided by t?
9
Let b = 7 + 96. Calculate the remainder when b is divided by 34.
1
Let s(f) = f**3 - f**2 + 2*f + 16. Calculate the remainder when 365 is divided by s(0).
13
Let i be 3/6*(2 - -6). Let y(z) = 4*z + 5. What is the remainder when y(5) is divided by (27/(-7 + i))/(-1)?
7
Let b = -248 - -526. What is the remainder when b is divided by 4?
2
Suppose 3*a + 690 = 33*a. Calculate the remainder when a is divided by (-38)/(-6) - 4/12.
5
Let w = -47 + 79. Let n be w/12*3*-1. Let g = 24 + n. Calculate the remainder when 62 is divided by g.
14
Let j(c) = -c - 3. Let u be j(-3). Suppose u = 4*p + 1 + 47. What is the remainder when 23 is divided by -7*-1*p/(-7)?
11
Suppose -13*q + 365 - 105 = 0. What is the remainder when 115 is divided by q?
15
Let f be 982/7 - 14/49. Let o = f - 132. Calculate the remainder when o is divided by 7.
1
Let y be 4*((-7)/(-2))/7. Suppose -312 = -4*x - q + y*q, 296 = 4*x - 5*q. Let n = x - 2. What is the remainder when n is divided by 20?
17
Suppose -5*q = -5*t + 765, 5*t - 365 = -3*q + 392. Let v = 3088 - 3071. What is the remainder when t is divided by v?
16
Let t be 954/15 + (-6)/(-15). Suppose i - 4*v = t, i - 23 = -v + 46. Suppose i = 2*o - 58. What is the remainder when o is divided by 22?
19
Let j(g) = 5*g**2 + 28*g - 16. What is the remainder when j(14) is divided by 80?
76
Let o = 317 + -263. What is the remainder when o is divided by (-3)/12 + (-90)/(-8)?
10
Let b(x) = -9*x**2 + 390*x - 62. Calculate the remainder when 376 is divided by b(43).
41
Suppose 4*n + 5*s - 103 = 220, 2*s + 184 = 2*n. Calculate the remainder when n is divided by 13.
9
Suppose -t + 2*t - 16 = 0. Let s(r) = -r**3 + 16*r**2 - 2*r + 38. Calculate the remainder when 11 is divided by s(t).
5
Calculate the remainder when 649 is divided by -4*(-10)/180 + (-232)/(-9).
25
Suppose -h - 518 = -8*h. What is the remainder when h is divided by 10?
4
Suppose 3*z = 5*z - 5*w - 32, -73 = -3*z - 5*w. Calculate the remainder when z is divided by 14.
7
Let d(o) = 16*o + 242. Calculate the remainder when 107 is divided by d(-13).
5
Let x = 41 - 39. Suppose 0 = -5*o, -2*o - 45 = -5*k + x*o. Calculate the remainder when 43 is divided by k.
7
Let y = -50 + 56. Suppose 0 = y*x - x + 3*v - 392, 4*x - 313 = -3*v. Let q = -12 + 28. Calculate the remainder when x is divided by q.
15
Let n = 21 + 55. Suppose 5*d - p = 125, -5*d - 5*p + 177 = 22. Calculate the remainder when n is divided by d.
24
Suppose 0 = -4*s + 7 + 5. Let x(l) = 2*l - 2. Calculate the remainder when ((-18)/(-2))/1 + 1 - 0 is divided by x(s).
2
Let j be (-13)/(-7) + (-5)/(-35). Suppose -197 = -j*p - 177. What is the remainder when p is divided by 2?
0
Suppose -59 = -3*k - n, -k + 5*n = 3*k - 85. Let f(c) = 4*c**2 + 4*c - 4. Calculate the remainder when f(-5) is divided by k.
16
Let o(v) = 6*v - 1. Let j be (66/4)/((-1)/(-16)). Calculate the remainder when (-1)/((-3)/(j - -3)) is divided by o(4).
20
What is the remainder when 102 is divided by -2*(-12)/9*30/8?
2
Let h be 36/(-8)*(-4)/(-2). Let q be 245/30 + 2/(-12). Calculate the remainder when 6/h + q/3 is divided by 2.
0
Let z(d) = 267*d**2 - 62*d + 60. What is the remainder when z(1) is divided by 68?
61
Let g(a) = -a**3 - 3*a**2 + 7*a + 7. Suppose 0 = s - 0*s + 5. What is the remainder when g(s) is divided by (3 - (-30)/(-12))*64/4?
6
Let s = -22 - -25. Suppose -p + 153 = s*j, -p - 3 + 0 = 0. What is the remainder when j is divided by 9?
7
Let w be (2/8)/(-1) - 22/8. Let b = w - -32. What is the remainder when b is divided by 16?
13
Let c = 103 - 84. Calculate the remainder when 32 is divided by c.
13
Calculate the remainder when 18/((-4)/3 - -2) is divided by 10/15 - ((-80)/(-3))/(-5).
3
Suppose 7*i + 25 + 17 = 0. What is the remainder when 43 is divided by (-9)/(81/i) + 26/6?
3
Suppose -363 = -10*v + 337. What is the remainder when 266 is divided by v?
56
Let w = 15 + -20. Let r = 11 + w. Suppose -13 = r*a - 73. What is the remainder when 19 is divided by a?
9
Let b = 27 - 42. What is the remainder when 41 is divided by (9/(-4))/((-8)/((-640)/b))?
5
Suppose 23 + 47 = 14*s. Calculate the remainder when 278 is divided by s.
3
Let b = 82 - 79. Suppose -b*r - 5*t = -76, 115 + 5 = 4*r + 2*t. Calculate the remainder when 94 is divided by r.
30
Calculate the remainder when ((-61)/(-6))/(16 + (-855)/54) is divided by 4.
1
Let p(i) = -i**3 - 12*i**2 + 11*i + 26. Let s be p(-13). Suppose -s - 38 = -10*g. Calculate the remainder when g is divided by 8.
1
Let v(u) = 5*u - 6. Let k be v(-3). Let d = k + 32. Calculate the remainder when 43 is divided by d.
10
Suppose -81 = -4*b - 3*f + 39, -4*b - 5*f = -120. Calculate the remainder when 145 is divided by b.
25
Suppose 4*p - 372 = 4*t, -5*p + 465 = 56*t - 54*t. Calculate the remainder when 556 is divided by p.
91
Let k be -2 + 2/(-2) + -66. Let t = -49 - k. What is the remainder when 4 is divided by (24/t)/(4/10)?
1
Let n = 44 + -39. Suppose -50 = -n*f - 0*f. What is the remainder when 18 is divided by f?
8
Let y(o) = o**3 + 8*o**2 - 86*o + 10. What is the remainder when y(-14) is divided by (-1 - -7)*(-16)/(-12)?
6
Let v be 6/5 - (-48)/60. Suppose -96 = -3*x - v*y, -4*y = 4*x - 151 + 23. Calculate the remainder when x is divided by 19.
13
What is the remainder when 3/7 - (10 + 12012/(-98)) is divided by 21?
8
Suppose 0 = 39*i - 40*i + 1817. What is the remainder when i is divided by 20?
17
Let v(z) = z**3 + 10*z**2 + 13. What is the remainder when 350 is divided by v(-10)?
12
Suppose 0 = 6*x - 33 + 3. Calculate the remainder when 82 is divided by (1 - x)/4*-43.
39
Suppose -4*w = 12, 3*a - 5*w = -1 + 58. Calculate the remainder when 83 is divided by a.
13
Let k = 1 - -9. Let v(x) be the third derivative of x**6/60 - x**5/30 + x**3/2 + 17*x**2. Calculate the remainder when v(3) is divided by k.
9
Let c = -54 - -60. Suppose 0 = 3*d - 6*d - 5*o + 2, -4*d + 14 = o. Suppose c*r - d*r - 38 = 0. What is the remainder when 75 is divided by r?
18
Suppose 3*p - 4*h + 120 = 7*p, -5*h = 4*p - 123. Let w = 5 + 12. What is the remainder when 6*(-3)/(-6)*w is divided by p?
24
Let q be (-2 - -5)/((-2)/14). Let n = -18 - -36. Calculate the remainder when 71 is divided by n*2*(-14)/q.
23
Let f = -25 + 76. Let n = -37 + f. Calculate the remainder when 1/(-1) - (2 - 56) is divided by n.
11
|
{
"pile_set_name": "DM Mathematics"
}
|
for p.
-1
Solve 12*f + 48 = 4*f for f.
-6
Solve 1 + 9 = 5*l for l.
2
Solve 0 = -o - 10*o + 2*o for o.
0
Solve 67*i - 76*i + 36 = 0 for i.
4
Solve 76 = -88*j - 804 for j.
-10
Solve 71*h = -40*h - 444 for h.
-4
Solve 16*r + 26 = -6 for r.
-2
Solve -242*m - 78 = -255*m for m.
6
Solve -85 + 95 = 5*b for b.
2
Solve -23*f = -22*f - 5 for f.
5
Solve 0 = 189*n - 203*n - 112 for n.
-8
Solve -8*a - 60 + 60 = 0 for a.
0
Solve 20*l - 44*l + 20*l = 0 for l.
0
Solve -40*t = -48*t - 8 for t.
-1
Solve 9*a + 30 = -15 for a.
-5
Solve 0 = 120*o - 106*o - 84 for o.
6
Solve 32*s - 29*s = 15 for s.
5
Solve -20*t + 37*t = 51 for t.
3
Solve 25*x + 255 = 76*x for x.
5
Solve 43 + 177 = 55*b for b.
4
Solve 102*s = 112*s - 40 for s.
4
Solve 959 = -8*n + 1015 for n.
7
Solve 0 = 5*g + 585 - 550 for g.
-7
Solve 3*k - 4*k = 5*k for k.
0
Solve 39*c - 14*c - 50 = 0 for c.
2
Solve -21*a - 46*a + 268 = 0 for a.
4
Solve 31*k - 23*k - 32 = 0 for k.
4
Solve 0 = -15*t - 11*t + 260 for t.
10
Solve -5*s - 12 = 3 for s.
-3
Solve -962*m - 14 = -955*m for m.
-2
Solve 4*q = q - 3*q for q.
0
Solve -4*y + 9 + 15 = 0 for y.
6
Solve -31*m - 73 = 20 for m.
-3
Solve 158 = -8*b + 86 for b.
-9
Solve 23*j - 97*j = -296 for j.
4
Solve -9*b = -4*b for b.
0
Solve 38*z + 42 = 17*z for z.
-2
Solve 5*s = 45 - 20 for s.
5
Solve 21*p = 157 - 31 for p.
6
Solve 12 = 8*r - 4 for r.
2
Solve -3*i = 7*i + i for i.
0
Solve -52 = -25*f - 2 for f.
2
Solve -4*l + 7 + 5 = 0 for l.
3
Solve 14*m = 7*m + 10*m for m.
0
Solve 2*c + 44 = -9*c for c.
-4
Solve 0 = 11*y - 34 + 1 for y.
3
Solve 47 = -12*u + 59*u for u.
1
Solve -3807 = -26*l - 3989 for l.
-7
Solve 0 = 21*i + 25*i - 368 for i.
8
Solve -7*v + 2*v + 25 = 0 for v.
5
Solve 23*t + 8 + 15 = 0 for t.
-1
Solve 9*x + 596 = 614 for x.
2
Solve 11*r = -20 + 75 for r.
5
Solve -9*r = 4*r - 52 for r.
4
Solve 144 = -26*i - 22*i for i.
-3
Solve -89 - 31 = 20*m for m.
-6
Solve 86*j - 58*j - 140 = 0 for j.
5
Solve -26*i + 37 = -15 for i.
2
Solve 14 - 28 = 7*k for k.
-2
Solve -12*o = -2 + 38 for o.
-3
Solve 33 = 4*x + 25 for x.
2
Solve 10*l - 6 = -6 for l.
0
Solve -26 + 2 = 8*c for c.
-3
Solve -i + 0 = 1 for i.
-1
Solve 0 = 104*b - 99*b - 10 for b.
2
Solve 261*g - 330 = 151*g for g.
3
Solve -55*q = -199 - 131 for q.
6
Solve -7*x + 20*x = 0 for x.
0
Solve 25*a + 20 = 120 for a.
4
Solve -320 = 7*o + 57*o for o.
-5
Solve 1261 = -9*f + 1351 for f.
10
Solve -6*j + 7*j = -4 for j.
-4
Solve -6 = -3*y - 0 for y.
2
Solve -20*c + 1 = -19 for c.
1
Solve -14*z + 56 = -42 for z.
7
Solve 15*w - w = -3*w for w.
0
Solve 12*g + 32 = 4*g for g.
-4
Solve 5*q - 2*q = 2*q for q.
0
Solve 248 = -w + 239 for w.
-9
Solve 0 = -x - 4 + 9 for x.
5
Solve g + 4 = 8 for g.
4
Solve 209*l = 196*l + 91 for l.
7
Solve 0 = 6*b - 530 + 536 for b.
-1
Solve -23*m - 76 + 283 = 0 for m.
9
Solve 13*d + 59 = 20 for d.
-3
Solve -22*f = -3*f + 76 for f.
-4
Solve -27 + 171 = 24*s for s.
6
Solve -29 + 34 = 5*q for q.
1
Solve -95 = 28*m - 11 for m.
-3
Solve 0 = 6*l - 31 + 1 for l.
5
Solve 0 = -6*s - 18 + 42 for s.
4
Solve 0 = -j - 34 + 34 for j.
0
Solve -q - 1 = -2*q for q.
1
Solve 556*q - 559*q - 9 = 0 for q.
-3
Solve 16*b = 6*b - 90 for b.
-9
Solve -36 = 6*r - 54 for r.
3
Solve -9*k - 29 + 83 = 0 for k.
6
Solve 60 = -9*u - 3 for u.
-7
Solve 411*g = 395*g + 32 for g.
2
Solve 23*l = 27 + 65 for l.
4
Solve 22 = -12*w + 23*w for w.
2
Solve -25*s = -21*s - 12 for s.
3
Solve p - 19*p = -36 for p.
2
Solve -10 = -3*b - 25 for b.
-5
Solve 17*c = 19 + 66 for c.
5
Solve 0 = z - 86 + 93 for z.
-7
Solve 363*s - 373*s + 20 = 0 for s.
2
Solve -22*m = 2*m - 96 for m.
4
Solve 27*r - 45*r + 36 = 0 for r.
2
Solve -8*j - 28 = 12 for j.
-5
Solve -45 - 103 = 37*i for i.
-4
Solve 11*w - 8*w + 6 = 0 for w.
-2
Solve -15*i - 8 = -13*i for i.
-4
Solve 0 = 4*x - 21*x - 34 for x.
-2
Solve 16*y + 9*y = 75 for y.
3
Solve 18*t - 2*t = -80 for t.
-5
Solve 27 = -4*x - 5*x for x.
-3
Solve 9*a + 22 + 23 = 0 for a.
-5
Solve 6*k = -20 + 8 for k.
-2
Solve 10*t + 3*t + 65 = 0 for t.
-5
Solve 347*b = 340*b - 21 for b.
-3
Solve -13*b - 3 = -12*b for b.
-3
Solve -1728*x + 1734*x = -30 for x.
-5
Solve 28*o - 6*o = -9*o for o.
0
Solve 22*a - 62 + 18 = 0 for a.
2
Solve -62*l - 72 = -74*l for l.
6
Solve 11*o = 23 - 67 for o.
-4
Solve 69*i = 70*i + 6 for i.
-6
Solve 16*k - 17*k = -3 for k.
3
Solve 11*v + 311 = 245 for v.
-6
Solve 25*q + 33 = 14*q for q.
-3
Solve 5*b = 45 - 10 for b.
7
Solve -229 = 6*c - 193 for c.
-6
Solve 29*m = 22*m + 21 for m.
3
Solve 6*i - 6 = 9*i for i.
-2
Solve 3*f = 2 - 11 for f.
-3
Solve -2*p + 0 = -6 for p.
3
Solve -2398*i + 2402*i = -4 for i.
-1
Solve 882 = 113*m - 135 for m.
9
Solve 31*o = -142 - 137 for o.
-9
Solve 8*w = -8*w - 16 for w.
-1
Solve 1 = w - 2*w for w.
-1
Solve -11*f = 26*f - 3*f for f.
0
Solve 323 = 4*l + 323 for l.
0
Solve 1223*g - 1185*g + 380 = 0 for g.
-10
Solve 5*q - 9 = 1 for q.
2
Solve 4*g - 47 = -59 for g.
-3
Solve -3*n - 93 + 81 = 0 for n.
-4
Solve 0 = -233*b + 252*b + 114 for b.
-6
Solve 18 + 36 = -27*t for t.
-2
Solve 0 = -162*w + 116*w - 322 for w.
-7
Solve -260*f = -262*f + 10 for f.
5
Solve 0 = -9*i + 4*i - 15 for i.
-3
Solve -178 = b - 185 for b.
7
Solve -5399*u - 24 = -5391*u for u.
-3
Solve -q = 6 - 7 for q.
1
Solve 35 = 2*x + 33 for x.
1
Solve 11 = 5*m + 1 for m.
2
Solve -28 = 23*m + 18 for m.
-2
Solve 0 = -12*w + 31*w - 76 for w.
4
Solve 0 = -20*y + 121 - 221 for y.
-5
Solve 2*a = -0*a - a for a.
0
Solve -124 = -20*b - 4 for b.
6
Solve -5*u + 24 = 7*u for u.
2
Solve 26*p + 3 = 23*p for p.
-1
Solve -36 = -69*w + 33 for w.
1
Solve -9*y - 1258 = -1276 for y.
2
Solve 15*q - 76 + 1 = 0 for q.
5
Solve -28 = 15*l + 32 for l.
-4
Solve -o = 39 - 35 for o.
-4
Solve 89*c - 15 = -282 for c.
-3
Solve -44*h + 200 = 68 for h.
3
Solve -3*p = 11*p - p for p.
0
Solve -25*x = -45*x for x.
0
Solve -4 - 96 = 25*a for a.
-4
Solve 57*q + 366 = -90 for q.
-8
Solve 2*f + f - 15 = 0 for f.
5
Solve 17*y - 54 = 26*y for y.
-6
Solve -5*u - 21 + 46 = 0 for u.
5
Solve -211 = 2*p - 205 for p.
-3
Solve 163*x = 150*x for x.
0
Solve 77 = -7*z + 35 for z.
-6
Solve 0 = -10*k - 25 - 15 for k.
-4
Solve x + 128 = 131 for x.
3
Solve -274*j - 42 = -253*j for j.
-2
Solve 0 = v + 120 - 113 for v.
-7
Solve 58*b = -b - 69*b for b.
0
Solve -28*f - 52 = -2*f for f.
-2
Solve 19 + 17 = 36*k for k.
1
Solve -6*q - q - 28 = 0 for q.
-4
Solve 3*l + 3 = 6 for l.
1
Solve 26*x - 28*x - 8 = 0 for x.
-4
Solve -4*o = 44 - 16 for o.
-7
Solve 0 = 41*m - 38*m - 9 for m.
3
Solve 28*l = 8*l + 40 for l.
2
Solve 14*f - 67 + 39 = 0 for f.
2
Solve 4*o + 16 = -4 for o.
-5
Solve 6 = 2*q + 16 for q.
-5
Solve 5*f - 50 = -35 for f.
3
Solve 12*x + 6 = 10*x for x.
-3
Solve -120*u + 133*u - 52 = 0 for u.
4
Solve 5*s - 621 = -626 for s.
-1
Solve 2*m - 5*m = -6 for m.
2
Solve 11*x - 13*x = 10 for x.
-5
Solve 11*z - 10 = 6*z for z.
2
Solve 311*g - 315*g = -4 for g.
1
Solve 32*d - 44 = 21*d for d.
4
Solve 0*y - 2*y + 8 = 0 for y.
4
Solve 20 + 6 = 13*b for b.
2
Solve 81*q = 75*q + 42 for q.
7
Solve 12*y + 76 - 52 = 0 for y.
-2
Solve 90*q = 11*q + 158 for q.
2
Solve 16*j + 60 = -36 for j.
-6
Solve 0 = -49*l + 47*l - 4 for l.
-2
Solve -3 = 3*b - 6*b for b.
1
Solve 2*h + 92 = 74 for h.
-9
Solve 15*t + 6 = -84 for t.
-6
Solve -s - 2 = -6 for s.
4
Solve 71*y - 23*y = -10*y for y.
0
Solve 0 = 12*w - 144 + 204 for w.
-5
Solve 0 = 50*t - 89*t - 195 for t.
-5
Solve -5*z + 52 = 27 for z.
5
Solve x - 3 = -0*x for x.
3
Solve 0 = 7*f + 11 + 17 for f.
-4
Solve 112 - 94 = 6*w for w.
3
Solve 0 = 2*f - 14 for f.
7
Solve 15 - 39 = 8*h for h.
-3
Solve 79*f = 36*f - 258 for f.
-6
Solve -2*k - 61 = -57 for k.
-2
Solve 19 = 1838*f - 1857*f for f.
-1
Solve 43*f + f = -176 for f.
-4
Solve 4*r - 17 = -25 for r.
-2
Solve 24 = 8*j - 0 for j.
3
Solve 254*r = 245*r - 63 for r.
-7
Solve -1687 = -5*d - 1652 for d.
7
Solve 6*c - 11*c = 0 for c.
0
Solve -158*w - 28 = -165*w for w.
4
Solve 3*g = 6*g for g.
0
Solve -13 = 7*x + 15 for x.
-4
Solve 34*g - 36*g = 10 for g.
-5
Solve 51*f - 135 = 6*f for f.
3
Solve 4 = s - 1 for s.
5
Solve -12*u = -13*u for u.
0
Solve -3*c + 12 = -0*c for c.
4
Solve -4*j + 7 = 3*j for j.
1
Solve -42*v + 46 = -19*v for v.
2
Solve 2*g + 4 = -0*g for g.
-2
Solve -27 = d - 10*d for d.
3
Solve -46*r + 12*r = 136 for r.
-4
Solve 153*y = 158*y + 20 for y.
-4
Solve -143*p + 148*p - 30 = 0 for p.
6
Sol
|
{
"pile_set_name": "DM Mathematics"
}
|
rs picked without replacement from {d: 2, h: 3}. Give prob of picking 2 d and 1 h.
3/10
Three letters picked without replacement from {u: 15, d: 3}. Give prob of picking 3 d.
1/816
Calculate prob of picking 2 j when two letters picked without replacement from jhjjjhhjjjjjjjjhjjj.
35/57
What is prob of picking 2 e and 2 x when four letters picked without replacement from xexeeeeexxe?
21/55
What is prob of picking 1 p and 1 o when two letters picked without replacement from nnxnxpokxxnllpxllx?
2/153
What is prob of picking 2 y when two letters picked without replacement from yffffyfy?
3/28
Two letters picked without replacement from {b: 8, n: 5}. Give prob of picking 1 b and 1 n.
20/39
Calculate prob of picking 1 m, 1 v, and 1 u when three letters picked without replacement from {v: 6, u: 1, m: 6, x: 6}.
12/323
Calculate prob of picking 1 e, 1 z, and 2 t when four letters picked without replacement from zettettetet.
2/11
What is prob of picking 1 f, 2 n, and 1 e when four letters picked without replacement from yenoyyznfoyzof?
2/1001
What is prob of picking 2 k when two letters picked without replacement from {t: 3, j: 3, g: 3, k: 3, m: 1, x: 2}?
1/35
What is prob of picking 3 l when three letters picked without replacement from lvvvllvv?
1/56
What is prob of picking 2 p when two letters picked without replacement from {c: 1, v: 6, p: 4}?
6/55
Two letters picked without replacement from {e: 1, d: 4, s: 1, p: 3, r: 3, g: 3}. Give prob of picking 1 s and 1 p.
1/35
What is prob of picking 1 v, 1 k, and 1 l when three letters picked without replacement from cvvlkydydyky?
1/55
Four letters picked without replacement from ppqpppqbbq. What is prob of picking 1 p, 2 q, and 1 b?
1/7
What is prob of picking 1 y and 1 h when two letters picked without replacement from rrjhjrchrrhyhrrjrr?
4/153
Two letters picked without replacement from {e: 4, j: 3, p: 4}. Give prob of picking 2 p.
6/55
What is prob of picking 4 c when four letters picked without replacement from ccccccccc?
1
Four letters picked without replacement from qmbxqmxmbqm. What is prob of picking 1 q, 1 x, and 2 m?
6/55
Calculate prob of picking 2 t, 1 n, and 1 l when four letters picked without replacement from {g: 1, l: 6, t: 3, n: 7}.
9/170
Four letters picked without replacement from {a: 2, l: 4, m: 3, x: 2, e: 1}. What is prob of picking 2 l and 2 m?
2/55
What is prob of picking 2 f, 1 r, and 1 g when four letters picked without replacement from rroffkftggrrgf?
72/1001
Three letters picked without replacement from {d: 4, s: 2}. What is prob of picking 1 d and 2 s?
1/5
What is prob of picking 1 o and 1 a when two letters picked without replacement from oyyooao?
4/21
Two letters picked without replacement from dihhidhhdhhidh. What is prob of picking 2 i?
3/91
Calculate prob of picking 3 u and 1 v when four letters picked without replacement from {u: 9, i: 4, v: 6}.
42/323
Calculate prob of picking 1 n and 2 e when three letters picked without replacement from {u: 1, x: 1, n: 2, r: 1, e: 4}.
1/7
Two letters picked without replacement from qtqq. Give prob of picking 2 q.
1/2
Calculate prob of picking 2 f when two letters picked without replacement from rrfrffrrrr.
1/15
What is prob of picking 2 f and 1 k when three letters picked without replacement from pkppppppppfppppfp?
1/680
Calculate prob of picking 1 z and 2 g when three letters picked without replacement from gazgg.
3/10
Three letters picked without replacement from {v: 8, h: 2, t: 7, z: 2}. What is prob of picking 1 v and 2 t?
56/323
What is prob of picking 2 j when two letters picked without replacement from {q: 2, j: 17}?
136/171
Calculate prob of picking 2 i, 1 x, and 1 e when four letters picked without replacement from isxscevi.
1/70
What is prob of picking 4 m when four letters picked without replacement from {s: 3, e: 1, h: 2, b: 1, m: 12}?
165/1292
What is prob of picking 1 l and 2 i when three letters picked without replacement from xaxlxnlilxxxaaiixa?
3/272
Four letters picked without replacement from {i: 7}. What is prob of picking 4 i?
1
What is prob of picking 1 l and 1 j when two letters picked without replacement from jjwwjjjwjjwjlwjjwwjj?
6/95
What is prob of picking 3 c and 1 i when four letters picked without replacement from iciccccicicicccc?
165/364
Calculate prob of picking 2 f when two letters picked without replacement from {h: 6, n: 1, f: 5, x: 2, l: 1}.
2/21
Two letters picked without replacement from {z: 2, j: 2}. What is prob of picking 1 j and 1 z?
2/3
What is prob of picking 3 a and 1 s when four letters picked without replacement from saaaaaaaaaaaa?
4/13
Two letters picked without replacement from {m: 1, x: 3, y: 4}. Give prob of picking 1 y and 1 x.
3/7
Two letters picked without replacement from tttttatat. Give prob of picking 2 t.
7/12
Calculate prob of picking 2 r and 1 e when three letters picked without replacement from rereeeeeeeeeeeeeee.
1/51
Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {s: 3, z: 4}.
4/7
Three letters picked without replacement from {c: 1, k: 3, o: 13}. What is prob of picking 2 o and 1 c?
39/340
Two letters picked without replacement from jwljwjwjjjjlwjjjlwlt. Give prob of picking 1 l and 1 w.
2/19
Three letters picked without replacement from {f: 4, i: 2, l: 1}. What is prob of picking 1 i, 1 f, and 1 l?
8/35
Three letters picked without replacement from eeyejjzeeezeezezyzz. What is prob of picking 1 y and 2 e?
24/323
Calculate prob of picking 1 h, 1 s, and 1 c when three letters picked without replacement from jhkclhs.
2/35
Calculate prob of picking 1 b, 1 l, and 1 y when three letters picked without replacement from {l: 1, b: 1, y: 3, h: 3, d: 3}.
1/55
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from otoooooooootooooooo.
34/171
What is prob of picking 2 y and 1 o when three letters picked without replacement from {o: 1, q: 1, y: 3}?
3/10
Three letters picked without replacement from pjjbpdpp. What is prob of picking 2 d and 1 p?
0
Two letters picked without replacement from bubuuuubmmbu. Give prob of picking 1 b and 1 m.
4/33
Calculate prob of picking 4 l when four letters picked without replacement from llllllllllllvlllvll.
35/57
What is prob of picking 1 l, 1 a, and 1 f when three letters picked without replacement from lafalllllllllaalllla?
7/114
What is prob of picking 1 q, 1 k, 1 i, and 1 y when four letters picked without replacement from viiqyykr?
2/35
Two letters picked without replacement from {f: 2, w: 1, e: 1, h: 6, g: 2}. What is prob of picking 2 f?
1/66
Calculate prob of picking 1 z and 1 c when two letters picked without replacement from zznpzppzzzzpcpzzpzz.
11/171
Four letters picked without replacement from uujcuuujucucuuuucuuj. Give prob of picking 4 u.
143/969
What is prob of picking 3 p and 1 d when four letters picked without replacement from {g: 4, d: 9, p: 3}?
9/1820
Calculate prob of picking 1 j and 1 w when two letters picked without replacement from jewzn.
1/10
Three letters picked without replacement from {v: 6, q: 1, a: 3, l: 1, n: 1}. Give prob of picking 2 a and 1 q.
3/220
Four letters picked without replacement from {u: 1, p: 2, j: 3, f: 1}. What is prob of picking 1 u, 1 f, 1 p, and 1 j?
6/35
Calculate prob of picking 1 c and 1 p when two letters picked without replacement from ucppuppppppiuupupiuu.
1/19
Four letters picked without replacement from {f: 4, t: 15}. What is prob of picking 2 f and 2 t?
105/646
Four letters picked without replacement from {z: 3, r: 1, v: 2, l: 1, b: 1, n: 3}. What is prob of picking 2 n, 1 r, and 1 b?
1/110
Four letters picked without replacement from uuucwuuuchuuu. Give prob of picking 2 u, 1 h, and 1 w.
36/715
What is prob of picking 1 u and 1 f when two letters picked without replacement from ffuf?
1/2
Two letters picked without replacement from {y: 2, s: 3, h: 4, c: 1, f: 1}. Give prob of picking 1 y and 1 s.
6/55
Three letters picked without replacement from {q: 2, h: 5, n: 7}. What is prob of picking 2 n and 1 h?
15/52
Calculate prob of picking 1 s and 1 j when two letters picked without replacement from zzjssjjzzjkzjjskzkz.
2/19
Three letters picked without replacement from {u: 3, x: 6, a: 2, i: 1, w: 2}. Give prob of picking 1
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-212)) + (2 - -1)?
5, 43
Let c = 1088 - 472. List the prime factors of c.
2, 7, 11
Let k(w) = -53*w - 2. Let j be k(-3). Let x = j - 60. What are the prime factors of x?
97
Suppose -h = -2*h - 10. Let w be ((-16)/(-20))/((-1)/h). What are the prime factors of (w/(-10))/(4/(-80))?
2
Suppose -p = 3*x + 23 - 106, 2*p = 4*x - 114. Suppose 5*j + 2*j - x = 0. What are the prime factors of j?
2
Let k(l) = l. Let i be k(0). Suppose 0 = 4*x + 4*z - i + 32, x = -4*z - 20. List the prime factors of 4/4*(-24)/x.
2, 3
Let f be -3*(-3 - (-20)/6). Let p be (0 + -2 - f)*38. Let z = -14 - p. List the prime factors of z.
2, 3
Let m(v) = 56*v**3 + 6*v**2 - 5*v - 3. List the prime factors of m(2).
3, 17
Suppose -7*c = -4001 + 4. List the prime factors of c.
571
Let d be 1/(-2) + 561/6. Let x = 138 - d. List the prime factors of x.
3, 5
Let q = 551 + -143. What are the prime factors of q?
2, 3, 17
Suppose -365 = -7*z + 244. Let m = z + -41. List the prime factors of m.
2, 23
Suppose -17 - 3 = r + 5*t, 2*r - 5*t - 20 = 0. Suppose -5*l + r*l = -635. List the prime factors of l.
127
Let q = 32 - 20. Let m be (7 + -5)/((-1)/q). List the prime factors of m*((-27)/6 + 4).
2, 3
Let c(k) = 2*k + 2*k - 2 - k + 0. Let n be c(2). Suppose 5*o + 2*r = -0*r + 249, n*o + 3*r - 195 = 0. What are the prime factors of o?
3, 17
Let t = -15 - -16. Let n = 0 - t. List the prime factors of n*1 - (-11 + -12).
2, 11
Let l be -4*6/(-108) - (-101)/(-9). Suppose 3*b - 4*t - 70 = 0, 0 = 3*b + 2*b + 4*t - 170. Let p = b + l. What are the prime factors of p?
19
Let s be (-6)/(-4) + 20/8. Let o(a) = a**2 - 2 + s + 2 - a**3 + a + 7. What are the prime factors of o(0)?
11
Suppose l + 2*l + 222 = 0. What are the prime factors of 10/(-25) + l/(-10)?
7
Suppose y + 0 + 4 = 0. Let k be y/(-12) + (-16)/(-6). What are the prime factors of 18/(-6)*(-13)/k?
13
Let u(h) = h**2 - 43*h - 42. What are the prime factors of u(-23)?
2, 3, 41
Let n(q) = q**3 + 11*q**2 - 3*q - 26. Suppose -9*z = -16*z - 56. What are the prime factors of n(z)?
2, 5, 19
Let g be 5 - 2 - (3 + 7). List the prime factors of (-14)/2*(g - 4).
7, 11
Suppose -622 = -2*k + 4*x, k - 204 - 113 = 4*x. List the prime factors of k.
5, 61
Let k(c) = 3*c - 3. Let t be k(4). Let d = -253 - -250. What are the prime factors of d/2*(-132)/t?
2, 11
Suppose 3*x - 284 = -767. Let w = -69 - x. List the prime factors of w.
2, 23
Suppose 37*a - 6993 = 4810. List the prime factors of a.
11, 29
Suppose -5*h = 12 - 2. Let j(z) = 53*z - 57*z - 5 + 11. What are the prime factors of j(h)?
2, 7
Let w(k) = k**2 - 15*k + 13. Let s be w(13). Let h = s + 25. List the prime factors of 212/(-6)*h/(-8).
53
Let o be -1 + (-15)/(-1 + 4). Let r(t) = -t**3 - 3*t**2 + 6*t + 4. List the prime factors of r(o).
2, 19
Let a be 0/(3/(4 + -1)). Suppose -n + 25 - 10 = a. List the prime factors of n.
3, 5
Let z(s) = -1794*s + 34. What are the prime factors of z(-1)?
2, 457
Let u(v) = -v**3 + 5*v**2 - 5*v + 10. Suppose 4*x = 3*x + 4. Let l be u(x). What are the prime factors of 1*(0 + 1)*l?
2, 3
Suppose 2132 = 71*z - 2270. What are the prime factors of z?
2, 31
Let v(p) = p**2 + 5*p + 10. Let d(n) = -n**2 - 4*n - 9. Let z(t) = -4*d(t) - 3*v(t). Let h be z(12). Suppose 3*l = l + h. What are the prime factors of l?
3
Suppose 2*n = -4*h + 5252, h - 10478 = -4*n + 6*h. List the prime factors of n.
2, 3, 19, 23
What are the prime factors of 1 + -13*(2 + -19 - -5)?
157
Let s(c) = -c**2 - 8*c - 11. Let l be s(-5). Suppose -u - l*u = 30. What are the prime factors of (-4)/u - (-426)/9?
2, 3
Suppose 6564 = 6*j - 2226. List the prime factors of j.
5, 293
Let f = 426 - 191. Suppose 0 = 8*h - 7*h - m - 234, h - f = 2*m. List the prime factors of h.
233
Suppose 4*z + 23394 = -3*w, -z + 17546 = -4*z - 2*w. List the prime factors of ((-4)/(-6))/(23388/z + 4).
5, 13
Suppose -12*u + 6002 + 3046 = 0. List the prime factors of u.
2, 13, 29
Suppose 0 = -2*n + c - 539, 2*n - 3*c + 499 + 46 = 0. Let i be (5/(10/n))/(-2). Suppose 0*s - 2*s = 5*r - 20, 5*s - i = -4*r. What are the prime factors of s?
3, 5
Let b(l) = -l**2 - l - 1. Suppose -2*r = -0 + 2. Let u(q) = -5*q**2 - 21*q + 4. Let c(m) = r*u(m) + 6*b(m). What are the prime factors of c(12)?
2, 13
Suppose 3*j + 12*l - 4271 = 14*l, -3*j - l + 4268 = 0. List the prime factors of j.
1423
Let v(t) = -t**2 + t + 45. Let u(w) = -w**3 + w**2 + 2. Let k be u(0). Suppose 0 = 2*j + f, j + k*f = -3*f. What are the prime factors of v(j)?
3, 5
Let x = 199 - -14. Let f = -24 + x. What are the prime factors of f?
3, 7
Let q = 32 - -60. Suppose q = w - 1. List the prime factors of w.
3, 31
Suppose 5*p - o = 4756, 65*o - 61*o - 16 = 0. List the prime factors of p.
2, 7, 17
Let q = 64 - 198. Let c = q + 211. What are the prime factors of c?
7, 11
Suppose -15*u + 29*u = 48090. What are the prime factors of u?
3, 5, 229
Let s(m) be the second derivative of -m**4/12 + m**3/2 + 5*m**2/2 - m. Let c be s(3). Suppose c - 11 = -g. What are the prime factors of g?
2, 3
Suppose 0 = -5*p + 1445 + 1600. What are the prime factors of p?
3, 7, 29
List the prime factors of (-9 + 3)*(-966)/9.
2, 7, 23
Let b be 12/8*1/(3/220). Suppose 918 - b = 4*y. List the prime factors of y.
2, 101
Let t(q) = q**2 + 3*q - 2. Let y be t(1). Suppose -y*i = -0*i. Suppose i*w - 203 = -7*w. List the prime factors of w.
29
List the prime factors of (-560)/(-15)*(-60)/(-14).
2, 5
Let c(h) = -h**2 - 17*h + 22. Let b be c(-18). Let q(x) = 39*x + 9. List the prime factors of q(b).
3, 5, 11
Let p(s) = 101*s + 198. What are the prime factors of p(13)?
1511
Let t = -4 - -3. Let c be 3 - (-2 + 0 - t). Suppose -19 = -c*o + 21. List the prime factors of o.
2, 5
Let i = -22 - -24. Suppose 10 - 4 = -i*p. What are the prime factors of (-124)/p + (-10)/30?
41
Suppose 0 = -l - 3*v + 303, 0 = -2*l + 5*v - 0*v + 595. Suppose 96 = -4*s + l. List the prime factors of s.
3, 17
Suppose 3*v + d - 9 = 0, -4*v = -v - 4*d + 6. Suppose -5*b = v*r + 180, 4*b + 108 = b + r. Let a = 53 + b. What are the prime factors of a?
17
Let d(r) = -7*r**2 - 4*r + 11. Let z be d(-5). List the prime factors of (z - 6)*(-2)/5.
2, 3, 5
Let v be (-1 - -19)*(-2)/(-4). Suppose -32 = 7*f - v*f. List the prime factors of f.
2
Let q(t) = -t - 9. Let m be q(-11). Let j(l) = -77*l - 2 - 4 + 4*l**m + 88*l. What are the prime factors of j(-5)?
3, 13
Suppose -19*o + 2526 = -3896. What are the prime factors of o?
2, 13
Suppose 0 = -0*n - 4*n - x + 1693, 3*x = -9. List the prime factors of n.
2, 53
Suppose -2*l + 6*l = 0. Suppose l = -4*n + 72 + 28. List the prime factors of n.
5
Suppose -5*q = -243 - 57. Suppose -3*v - 2*x - 36 = -v, -5*v = -5*x + q. List the prime factors of ((-9)/v)/1*5.
3
What are the prime factors of (-8)/3*(-21087)/22?
2, 3, 71
Let z = 144 + -141. Suppose 0 = 3*i + 2*u - 713, z*u = -2*i + 7*i - 1163. List the prime factors of i.
5, 47
Let x(o) be the first derivative of o**4/4 - 5*o**3/3 + o**2 - 3*o - 54. Suppose -3*c = -4*s - 11, 4*c - 17 = -5*s + 8. List the prime factors of x(c).
7
Let x(t) = -5*t**3 + 3*t**2 + t + 3. Let i be x(-3). Let w = i + -60. What are the prime factors of w?
2, 3, 17
Suppose 2*y - 533 = 4*d - 27, 0 = -4*y - 5*d + 1025. What are the prime factors of y?
3, 5, 17
Suppose -8*b + 2*b + 132 = 0. List the prime factors of b.
2, 11
Suppose -n + 4*j + 209 + 2203 = 0, -2*n = 2*j - 4814. What are the prime factors of n?
2, 7, 43
Suppose 5*g + 2*y = 1907, 3*y - 146 - 238 = -g. What are the prime factors of g?
3, 127
Let j be 80/(-3 + 7)*-8. Let y = j - -231. What are the prime factors of y?
71
Let b = -3 - -11. Let q be (-24)/(-9) + b/(-12). Let t(l) = 15*l + 3. What are the prime factors of t(q)?
3, 11
Suppose -2*m + 1683 = m - 4*y, 0 = -4*m - y + 2263. Suppose -5*x + 130 + m = 0. What are the prime factors of x?
139
Suppose 0*k + 1564 = 4*c + 3*k, 3*k + 12 = 0. List the prime factors of c.
2, 197
Let k(v) be the second derivative of 0 + 1/4*v**5 - v - 1/6*v**3 + 0*v**2 - 1/12*v**4. List the prime factors of k(2).
2, 17
Let z be -8*(-7)/(14/8). Suppose 0 = -5*w + w + z. Suppose -w*i + 169 + 23 = 0. List the prime factors of i.
2, 3
Suppose 4*k = 4*f + 6992, -4*f - 819 = -k + 920. List the prime factors of k.
17, 103
Suppose 5*t + 11 - 31 = 0. Suppose -j = 5*k - 718, -2*k = -7*k + t*j + 728. List the prime factors o
|
{
"pile_set_name": "DM Mathematics"
}
|
j - 3*j = 3*i - 24, -9 = -3*j. Suppose c = i*o - 6 - 22. What is the units digit of o?
7
What is the thousands digit of -4*51/(-68)*10072?
0
Suppose 0 = -3*r - 15, 3*b - 2*r + 147438 - 58375 = 0. What is the tens digit of (-22)/(-209) - b/57?
2
Suppose -366 - 685 = -x + 2*k, 4*x - 4240 = -4*k. Let i = x + -350. What is the tens digit of i?
0
Let b(h) = 178*h**2 + 4*h - 2. Let p = 327 + -325. What is the tens digit of b(p)?
1
Suppose -2*i = -2, -3*w - 8 = 3*i - 107. Suppose w*z = 34*z - 590. What is the units digit of z?
5
Suppose -c = 3*j - 194415, 0 = 5*j + 6*c - 2*c - 324025. What is the thousands digit of j?
4
Let d(t) = 2*t**2 + 7*t - 6. Let g be d(5). Let f = 3884 - 3907. Let j = f + g. What is the tens digit of j?
5
Suppose 8 = -2*d - 16. Let z(j) be the third derivative of j**5/60 + j**4/12 - 4*j**3 + 27*j**2 + 2*j. What is the tens digit of z(d)?
9
Let w be -3 + (-1225)/21 - (-2)/6. Let z = 99 + w. What is the units digit of z?
8
Suppose 21*v = 25*v + 2*r - 10, 2*v - 7 = r. Let c(b) = 179*b**2 + 13*b - 36. What is the units digit of c(v)?
4
Let l = -258 - -626. What is the tens digit of l + ((-66)/(-18) - 5)*-3?
7
Suppose -4*y - 4*k = 104, 0 = -2*y + 4*y - 4*k + 82. Let p = 41 - y. Suppose a + p = i, -2*a + a + 372 = 5*i. What is the units digit of i?
4
Suppose -m - q - 3*q + 170 = 0, -q = -3*m + 471. Suppose -1450 = -12*x + m. What is the hundreds digit of x?
1
Suppose -4*h = 14*r - 135927 - 102869, 5*h - 298495 = r. What is the units digit of h?
9
Let x(f) = 6*f**3 - 3*f**2 + 32*f + 17. Let s be x(7). Suppose 4*w + s = 7592. What is the thousands digit of w?
1
Suppose 5*l + 13554 = 3*c, 4*l = 246*c - 241*c - 22590. What is the thousands digit of c?
4
Suppose -6 = -20*x + 18*x. Suppose 5*u - x*u + u = 0. What is the units digit of u/(4/2) + 56?
6
Let x(j) = -384*j**3 + 2*j**2 + j + 5. Let s be x(-2). Let n = -1964 + s. What is the thousands digit of n?
1
Let n be 139/(33/15 - 2). Suppose 2041 = 2*w + w + 4*d, w + 5*d - n = 0. Suppose -5*z + 645 = 4*t, 3*z + w = 4*t - 2*z. What is the tens digit of t?
6
Suppose -2*s - 1287 = 7*s. Let h = s - -17. Let y = h - -215. What is the tens digit of y?
8
Suppose m = -2*m + p - 303, 404 = -4*m - 5*p. Suppose -11*o - 818 = 931. Let d = m - o. What is the units digit of d?
8
Suppose 3*h - 5*b - 3 = 2*h, 4*b = 4*h + 4. Let p be (h + (3 - (-1 + 1)))*-1. What is the units digit of (-10)/25 - (636/15)/p?
2
Suppose -12 = -28*p + 24*p. Let v = -9 - p. What is the tens digit of (95/2)/((-6)/v)?
9
Suppose 0 = -14*o + 19*o + 3*z - 39089, 3*o - 5*z - 23467 = 0. What is the thousands digit of o?
7
Suppose -5*d = 15*d + 5*d. Suppose 4*s - 135 - 209 = d. What is the units digit of s?
6
Let k(c) = c**3 + c - 8. Let n = 5 - 0. Let b be k(n). Let f = -56 + b. What is the tens digit of f?
6
Suppose -81*g + 54020 = -71*g. Suppose 4*j + m - 854 - g = 0, 4*m - 16 = 0. What is the hundreds digit of j?
5
Let l be (10208/(-48))/(6/135). What is the tens digit of (-17)/(255/l) + (3 - -1)?
2
Suppose 40*u - 192485 - 47387 = 413768. What is the units digit of u?
1
What is the hundreds digit of (-3)/(-2) + ((-606606)/(-12) - -5)?
5
Let s be (300/(-9))/(2/6). Suppose 0 = -995*u + 1000*u + 1375. Let p = s - u. What is the units digit of p?
5
Suppose 5*g - 3*j + 14 = 0, g + 3*g + 26 = -5*j. Let b(s) = -20*s**3 + 17*s**2 + 53*s + 3. What is the units digit of b(g)?
3
Suppose 4*l = -2*o + 902, 18 = 5*l + 8. Let p = o - 335. What is the hundreds digit of p?
1
Let l be 1 + 42/(-4)*2. Let j(o) = 4*o**2 - 126*o - 159. Let x be j(33). Let w = x - l. What is the tens digit of w?
5
Suppose -4*s + 546 = -3*z, -2*z = -4*s + 268 + 280. Let b be (-9)/(-3)*130/15. Suppose 4*g - s = -b. What is the tens digit of g?
2
Let n be (-39 - -40)/(4/(-8)). Let b(h) = h + 4. Let y be b(-2). What is the units digit of (-8 - n)/(-6) + 196/y?
9
What is the units digit of (3 - (-1617)/1)*(52 - 51)?
0
Let k = -42 - -42. Let o(n) = 7*n + 11. Let d be o(k). Suppose 405 = -6*v + d*v. What is the tens digit of v?
8
Let y = -22 + 64. Let m be 1372/6 - (-56)/y. Suppose -143 = -4*z + 5*q, -5*z + m = -4*q + 58. What is the units digit of z?
2
Let b(z) = 6*z**2 - 21*z - 86. Let d be b(-9). Let u = 675 - d. What is the units digit of u?
6
Let i = -9575 - -22278. What is the units digit of i?
3
Suppose 0 = -56*c + 16*c + 272747 + 100413. What is the hundreds digit of c?
3
Suppose -8*m = 1068 - 84. Let n = 165 + m. What is the units digit of n?
2
Let z(j) = -2*j + 23. Let a be z(11). Suppose 4*v = -c - a, -23 + 3 = 4*v. Suppose -c*d + 6*d + 390 = 0. What is the units digit of d?
0
Suppose -3*h = -h - 3*n - 43, -4*n + 116 = 4*h. Suppose -5*d + 5*k = -65, 4*d - 3*k - 45 = 8. Suppose -d*w = -h*w + 1884. What is the units digit of w?
7
Suppose -3*m = -2*j + 598 + 92, 5*j - 1699 = m. What is the hundreds digit of j?
3
Let p = 893 + -495. Let n = -7 + p. What is the hundreds digit of n?
3
Let o(y) = 46*y + 598. Let t be o(-13). Let i be (0 - -2) + -3 + 1. Suppose 5*k + 2*p - 1231 = t, 3*k + i*k = -p + 738. What is the units digit of k?
5
Let i(k) = -59*k**3 - k**2 + 2*k + 3. Suppose 6*s = 3*s - 6, 2*j + 4*s = -8. Suppose 14*v - 18*v - 4 = j. What is the units digit of i(v)?
9
Let u(c) = -5*c**3 - 46*c**2 - 40*c - 123. What is the hundreds digit of u(-21)?
7
Let p(i) = -18736*i + 2662. What is the units digit of p(-2)?
4
Let n = 6146 + 5468. What is the ten thousands digit of n?
1
Suppose 277*b - 478686 = -143830 + 704171. What is the thousands digit of b?
3
Suppose 60788 = 262*w - 279*w + 169792. What is the units digit of w?
2
Let y be (7 + -12 + 5)/(-1 + 2). What is the units digit of y + 1 - (6 + -7 - 2)?
4
Suppose 0 = -0*t + 6*t - 336. Suppose 52*j + 1996 = t*j. What is the units digit of j?
9
Suppose c = -19*c + 143980. What is the hundreds digit of c?
1
Let q = 2444 - 2083. Suppose h + 0*h + 132 = 0. Let a = q + h. What is the tens digit of a?
2
Suppose -q = 15*k - 16*k + 2627, -2*q + 13128 = 5*k. What is the hundreds digit of k?
6
Let d be 6/(-18) + (-11)/3. Let a be 78 + 12/(0 + d). Suppose -8*s = -3*s - a. What is the units digit of s?
5
Suppose 41*w + 15 = 46*w. Suppose 1500 = w*n + 159. What is the units digit of n?
7
Let s be (441/7)/(4/(-76)). Let l = s - -2651. What is the tens digit of l?
5
Suppose 0*b = -3*b + 24. Suppose 3*r - h = b, -4*r = 4*h - 11 - 21. Suppose -r*w + 136 = 4*x, x + 2 - 34 = w. What is the tens digit of x?
3
Let x(g) = 4*g**3 + 2*g**2 - 6*g - 4. Let c be x(-4). Let d = 402 + c. What is the units digit of d?
8
Let t(p) = -37 + 0*p - 24 + 69 + 6*p. Let f be t(1). Suppose -f*y - 408 = -31*y. What is the units digit of y?
4
What is the hundreds digit of (-2)/42*-3 - (-8800423)/721?
2
Let p = 58 - 48. Suppose -p*l - 239 = 111. Let r = l + 137. What is the tens digit of r?
0
Suppose -3402 = -2*i - 4*c, 2*i + 1435 = 3*c + 4837. What is the thousands digit of i?
1
Suppose 3*g - 15 = -3*v, 9*g - 4*v - 4 = 7*g. Let r(m) = 9*m**2 + 3*m - 6. Let u be r(5). Suppose -g*j = -j - u. What is the units digit of j?
8
Let m be -7 + 3 + 0 + 9. Suppose -5*x = -3*r - 12, -4 = -3*x + m*x + r. Suppose x = -4*l + 8, 688 = 5*g - 5*l + 163. What is the units digit of g?
7
Suppose -369270 = -149*s + 83*s. What is the hundreds digit of s?
5
Let r be (1 + 0 - (-3184)/48)*-3. Suppose -2 = -2*w, w + 4*w + 1339 = -4*i. Let o = r - i. What is the tens digit of o?
3
Suppose -74*o - 2140 = -76*o. Let m = 1612 - o. What is the hundreds digit of m?
5
Suppose 4*f + 41 = -5*p, 3*f = 2*p + 3*p - 57. Let l be (-12)/f*112/32. Let r(j) = 4*j**2 + 6*j + 3. What is the tens digit of r(l)?
5
Let p = 72 - 62. Suppose 16*b = p*b + 1332. What is the hundreds digit of b?
2
Let w(l) = l**2 - 3. Let k be w(4). Let g(v) = 10*v - 19. Let u(i) = -12*i + 18. Let f(m) = 5*g(m) + 4*u(m). What is the units digit of f(k)?
3
Suppose 6*q - 10*q - 824 = 0. Let n = q + 437. What is the tens digit of n?
3
Suppose 0 = -5*i, -2*s + 2*i + 992 = 6*i. Let t = s + 196. What is the tens digit of t?
9
Let v be ((-297)/(-9))/(30/(-64))*5. Let l = 440 + v. What is the units digit of l?
8
Let k(v) = 6*v**2 + 5*v - 11. Let f be k(3). Suppose -3*m - 12 = 0, 3*t - f - 1307 = 3*m. What is the tens digit of t?
5
Let l be -2 + (2 - 0)/(8/12). Let c be (4 - -6) + (-3 - l). Suppose -2*p = -c*p + 868. What is the hundred
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 2*k**3/3 - 736*k**2/3 + 1466*k/3 - 244 = 0. What is k?
1, 366
Factor y**3/5 + y**2/5 - 8*y/5 - 12/5.
(y - 3)*(y + 2)**2/5
Factor 3*f**3/5 + 3*f**2/5 - 3*f + 9/5.
3*(f - 1)**2*(f + 3)/5
Find w, given that 147*w**5/2 - 1218*w**4 + 3561*w**3/2 - 726*w**2 + 90*w = 0.
0, 2/7, 1, 15
Determine o, given that -o**3 + 43*o**2/6 + 80*o/3 + 50/3 = 0.
-2, -5/6, 10
Solve -85*a**4 + 335*a**3 - 65*a**2 - 515*a - 30 = 0 for a.
-1, -1/17, 2, 3
Let 100*l**4 + 715*l**3 + 95*l**2 - 70*l = 0. What is l?
-7, -2/5, 0, 1/4
Let j**2/2 + 28*j + 392 = 0. What is j?
-28
Factor 3*q**3/2 + 30*q**2 + 96*q.
3*q*(q + 4)*(q + 16)/2
Factor w**5 - 28*w**4 + 238*w**3 - 796*w**2 + 985*w - 400.
(w - 16)*(w - 5)**2*(w - 1)**2
What is a in -28*a**4 - 146*a**3 - 194*a**2 - 16*a + 24 = 0?
-3, -2, -1/2, 2/7
Factor 5*h**2 - 180*h.
5*h*(h - 36)
Factor 3*d**2 + 102*d + 675.
3*(d + 9)*(d + 25)
Solve -3*h**4/2 - 151*h**3/2 - 165*h**2 + 144*h = 0.
-48, -3, 0, 2/3
Factor q**5 - 49*q**4 + 810*q**3 - 4576*q**2 - 512*q + 24576.
(q - 16)**3*(q - 3)*(q + 2)
Factor -2*f**2 + 244*f - 7442.
-2*(f - 61)**2
Solve -75*y**4/8 - 135*y**3/2 + 1143*y**2/8 - 159*y/2 + 27/2 = 0 for y.
-9, 2/5, 1
Let 2*i**4/3 + 38*i**3/3 + 76*i**2 + 448*i/3 + 256/3 = 0. Calculate i.
-8, -2, -1
Solve -g**4 + 512*g**2 - 65536 = 0.
-16, 16
Suppose -8*z**3/5 + 8*z**2/5 - 2*z/5 = 0. What is z?
0, 1/2
Factor -z**3/3 - 749*z**2/3 - 1495*z/3 - 249.
-(z + 1)**2*(z + 747)/3
What is n in -4*n**2/5 - 8*n - 20 = 0?
-5
Find h such that -2*h**5 - 50*h**4 - 200*h**3 = 0.
-20, -5, 0
Factor 2*l**4/11 + 48*l**3/11 + 16*l**2 - 1344*l/11 + 1568/11.
2*(l - 2)**2*(l + 14)**2/11
Factor x**4/4 - 3*x**3/4 - 5*x**2/4 + 3*x/4 + 1.
(x - 4)*(x - 1)*(x + 1)**2/4
Suppose -n**2/4 + 107*n - 11449 = 0. What is n?
214
Factor 4*a**4/3 + 13256*a**3/3 - 13264*a**2 + 39800*a/3 - 13268/3.
4*(a - 1)**3*(a + 3317)/3
Factor -3*k**2/8 + 72*k.
-3*k*(k - 192)/8
Find k, given that -6*k**5/17 - 2044*k**4/17 - 10280*k**3 - 6800*k**2 = 0.
-170, -2/3, 0
Factor b**5 - 13*b**4 + 55*b**3 - 75*b**2.
b**2*(b - 5)**2*(b - 3)
Let 2*j**2/11 + 1872*j/11 + 438048/11 = 0. What is j?
-468
Solve -b**2/5 - 22*b/5 + 15 = 0.
-25, 3
Factor l**2 + 13*l - 14.
(l - 1)*(l + 14)
Factor 48*z**3 + 4552*z**2 + 106387*z - 72962.
(3*z - 2)*(4*z + 191)**2
Factor -t**4/3 + 7*t**3/3 - 17*t**2/3 + 17*t/3 - 2.
-(t - 3)*(t - 2)*(t - 1)**2/3
Factor 5*k**4 + 5*k**3 - 320*k**2 - 320*k.
5*k*(k - 8)*(k + 1)*(k + 8)
Let 3*x**4 + 6*x**3 - 27*x**2 - 6*x + 24 = 0. What is x?
-4, -1, 1, 2
Factor -a**3 + 3*a**2 - 3*a + 1.
-(a - 1)**3
Suppose 15*t**2 - 715*t + 700 = 0. Calculate t.
1, 140/3
Factor 3*u**4 + 24*u**3 + 69*u**2 + 84*u + 36.
3*(u + 1)*(u + 2)**2*(u + 3)
Find j, given that -j**4 - 11*j**3 - 42*j**2 - 64*j - 32 = 0.
-4, -2, -1
Solve -2*z**5/5 + 12*z**4/5 - 2*z**3 - 32*z**2/5 + 24*z/5 + 32/5 = 0 for z.
-1, 2, 4
Factor -20*p**3 - 2672*p**2 - 88708*p + 35912.
-4*(p + 67)**2*(5*p - 2)
Solve -9*z**2/2 - 87*z/4 + 15/4 = 0 for z.
-5, 1/6
Factor -q**3/6 + q**2 + q/6 - 1.
-(q - 6)*(q - 1)*(q + 1)/6
Factor 3*q**3/7 - 447*q**2/7.
3*q**2*(q - 149)/7
Factor -3*u**2/7 + 7494*u/7 - 4680003/7.
-3*(u - 1249)**2/7
Suppose 5*q**5/3 - 46*q**4/3 + 104*q**3/3 + 26*q**2/3 - 109*q/3 + 20/3 = 0. What is q?
-1, 1/5, 1, 4, 5
Suppose -5*w**2 - 64580*w - 208528820 = 0. What is w?
-6458
Solve 98*j**4/5 - 119*j**3/5 - 12*j**2/5 + 36*j/5 = 0 for j.
-1/2, 0, 6/7
Factor 3*o**4/4 - 3*o**3/4 - 27*o**2/2 + 39*o - 30.
3*(o - 2)**3*(o + 5)/4
Factor 2*w**2/7 + 10*w/7.
2*w*(w + 5)/7
Factor -2*j**3/17 + 74*j**2/17 - 440*j/17 + 600/17.
-2*(j - 30)*(j - 5)*(j - 2)/17
Let -8*c**4/5 + 102*c**3/5 + 180*c**2 + 256*c/5 - 960 = 0. Calculate c.
-4, 2, 75/4
Factor j**3/3 + 7*j**2/2 - 19*j/3 - 4.
(j - 2)*(j + 12)*(2*j + 1)/6
Factor -4*x**4 - 24*x**3 - 52*x**2 - 48*x - 16.
-4*(x + 1)**2*(x + 2)**2
Suppose 5*y**2 - 635*y - 640 = 0. Calculate y.
-1, 128
Factor 5*d**3/2 + 51*d**2/2 + 55*d/2 + 9/2.
(d + 1)*(d + 9)*(5*d + 1)/2
Factor 5*p**4 + 65*p**3 + 220*p**2 + 160*p.
5*p*(p + 1)*(p + 4)*(p + 8)
Find g, given that 910116*g**3 - 913932*g**2 + 3820*g - 4 = 0.
1/477, 1
Solve 9*b**5 + 33*b**4 - 21*b**3 - 141*b**2 - 60*b + 36 = 0.
-3, -2, -1, 1/3, 2
Find t such that -2*t**2/3 + 256*t/3 - 3584/3 = 0.
16, 112
Let 4*i**3 + i**2 - 14*i + 9 = 0. Calculate i.
-9/4, 1
Factor 128*u**2/5 - 42144*u/5 + 3468978/5.
2*(8*u - 1317)**2/5
Factor 12*t**4 + 176*t**3 + 832*t**2 + 1344*t + 576.
4*(t + 2)*(t + 6)**2*(3*t + 2)
Factor 122*w**3 + 240*w**2 + 114*w - 4.
2*(w + 1)**2*(61*w - 2)
Find r, given that 4*r**4/7 - 1780*r**3/7 = 0.
0, 445
Find i such that 1331*i**3/5 - 219252*i**2/5 + 12038928*i/5 - 220348864/5 = 0.
604/11
Let 25*f**2 - 35*f = 0. Calculate f.
0, 7/5
Find h, given that -2*h**3/5 + 174*h**2/5 - 228*h + 320 = 0.
2, 5, 80
Let -2*p**4/5 - 32*p**3/5 + 44*p**2/5 + 176*p/5 + 102/5 = 0. What is p?
-17, -1, 3
Determine y, given that 15*y**4 + 185*y**3 + 590*y**2 + 60*y - 360 = 0.
-6, -1, 2/3
Factor 9*x**4 + 195*x**3 + 126*x**2.
3*x**2*(x + 21)*(3*x + 2)
Factor 5*g**2 - 7800*g + 15580.
5*(g - 1558)*(g - 2)
Factor 2*a**5/7 - 50*a**4/7 + 380*a**3/7 - 860*a**2/7 + 110*a - 242/7.
2*(a - 11)**2*(a - 1)**3/7
Find u such that -2*u**2/5 - 5532*u/5 - 3825378/5 = 0.
-1383
Suppose -4*v**3/5 + 1928*v**2/5 - 232324*v/5 = 0. What is v?
0, 241
Factor -c**4/8 - 5*c**3/8 + 7*c**2/4.
-c**2*(c - 2)*(c + 7)/8
Factor o**5 - 96*o**4 + 3072*o**3 - 32768*o**2.
o**2*(o - 32)**3
Suppose 3*l**5/7 - 4188*l**4/7 + 1469964*l**3/7 - 5829696*l**2/7 + 5812992*l/7 = 0. What is l?
0, 2, 696
Factor v**3 + 7*v**2 - 10*v - 16.
(v - 2)*(v + 1)*(v + 8)
Factor -q**2 - 487*q + 1470.
-(q - 3)*(q + 490)
Suppose -4*m**3 - 132*m**2 + 1936*m = 0. Calculate m.
-44, 0, 11
What is i in i**5 + 5*i**4 + 9*i**3 + 7*i**2 + 2*i = 0?
-2, -1, 0
Let w**4/3 + 25*w**3/3 - 28*w**2/3 - 52*w/3 = 0. What is w?
-26, -1, 0, 2
Solve v**4/3 - 6*v**3 + 31*v**2 - 136*v/3 + 20 = 0.
1, 6, 10
Determine n, given that -n**4 + 96*n**3/5 - 99*n**2/5 - 164*n/5 + 36/5 = 0.
-1, 1/5, 2, 18
Factor -j**4/2 - 11*j**3/2 + 13*j**2.
-j**2*(j - 2)*(j + 13)/2
Factor -w**3 - 78*w**2 + 1941*w - 1862.
-(w - 19)*(w - 1)*(w + 98)
Factor -2*n**3 - 72*n**2 + 2*n + 72.
-2*(n - 1)*(n + 1)*(n + 36)
Factor -3*a**2/7 + 54*a/7 - 195/7.
-3*(a - 13)*(a - 5)/7
Solve 4*p**4 + 16*p**3 + 8*p**2 - 16*p - 12 = 0 for p.
-3, -1, 1
Determine y, given that -3*y**4 + 30*y**3 + 3*y**2 - 30*y = 0.
-1, 0, 1, 10
Factor -r**4 - 3*r**3 + 4*r.
-r*(r - 1)*(r + 2)**2
Factor 3*k**2 - 5736*k + 2741808.
3*(k - 956)**2
Factor -3*o**3/7 - 183*o**2/7 + 192*o/7 + 372/7.
-3*(o - 2)*(o + 1)*(o + 62)/7
Factor -2*i**5/17 - 8*i**4/17 - 2*i**3/17 + 20*i**2/17 + 8*i/17 - 16/17.
-2*(i - 1)**2*(i + 2)**3/17
Factor 28*d**3/3 - 152*d**2 + 548*d/3 - 40.
4*(d - 15)*(d - 1)*(7*d - 2)/3
Suppose 2809*w**3/4 - 2915*w**2/2 + 107*w - 2 = 0. What is w?
2/53, 2
Factor -2*f**3 - 48*f**2 - 160*f.
-2*f*(f + 4)*(f + 20)
Factor -5*r**2 + 95*r + 330.
-5*(r - 22)*(r + 3)
Let 3*x**3/5 - 3*x**2 + 18*x/5 = 0. What is x?
0, 2, 3
Factor 8*j**3 + 20*j**2 - 44*j + 16.
4*(j - 1)*(j + 4)*(2*j - 1)
Factor -5*m**2 - 580*m - 575.
-5*(m + 1)*(m + 115)
What is i in -2*i**3 + 22*i**2 - 38*i + 18 = 0?
1, 9
Find v, given that -v**4/5 - 778*v**3/5 - 202788*v**2/5 - 3594456*v - 68694048/5 = 0.
-258, -4
Factor 3*m**4 + 57*m**3 + 195*m**2 + 231*m + 90.
3*(m + 1)**2*(m + 2)*(m + 15)
Find g such that 2*g**5/13 - 14*g**4 + 4794*g**3/13 - 2050*g**2 - 73964*g/13 = 0.
-2, 0, 11, 41
Determine v, given that -2*v**5/9 + 88*v**4/9 - 968*v**3/9 = 0.
0, 22
Factor y**2/5 - 88*y/5 + 1936/5.
(y - 44)**2/5
Factor 8*q**3/11 + 194*q**2/11 + 48*q/11.
2*q*(q + 24)*(4*q + 1)/11
Let 2*b**2/3 + 8*b + 18 = 0. Calculate b.
-9, -3
Factor -3*o**2/7 - 3*o.
-3*o*(o + 7)/7
Factor 2*v**4/9 - 2*v**3/3 + 2*v**2/9 + 2*v/3 - 4/9.
2*(v - 2)*(v - 1)**2*(v + 1)/9
Solve 2*r**2 + 32*r - 34 = 0.
-17, 1
Factor 3*j**3/2 - 15*j**2 - 111*j/2 - 39.
3*(j - 13)*(j + 1)*(j + 2)/2
Factor 5*x**3 - 285*x**2 + 4875*x - 21875.
5*(x - 25)**2*(x - 7)
Find w, given that 3*w**4/7 - 3*w**3/7 - 30*w**2/7 - 24*w/7 = 0.
-2, -1, 0, 4
Suppose -2*n**4/7 + 296*n**3/7 + 302*n**2/7 - 596*n/7 = 0. Calculate n.
-2, 0, 1, 149
Solve 3*k**5 - 12*k**4 + 9*k**3 = 0.
0, 1, 3
Factor 3*s**2 - 78*s - 168.
3*(s - 28)*(s + 2)
Factor -3*x**4 - 9*x**3 + 9*x**2 + 33*x + 18.
-3*(x - 2)*(x + 1)**2*(x + 3)
Let -5*v**4 + 150*v**3 + 175*v*
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(2)*2 + sqrt(2)))**2.
-sqrt(17)/60 + 230417/57600
Simplify 6*(1 + sqrt(1331) + 0 + (sqrt(99)*-2*-4)/sqrt(9))*1*3.
18 + 342*sqrt(11)
Simplify (sqrt(352)/(sqrt(8) + (sqrt(288)*-3 - sqrt(8))) + -1*sqrt(2816) + -2)*5.
-725*sqrt(11)/9 - 10
Simplify -3 + 4*sqrt(12)*-6 + sqrt(12) - (sqrt(363)*2 - (4*sqrt(3) + -4)).
-64*sqrt(3) - 7
Simplify 3*(6*4*2*sqrt(52))/((sqrt(8)*1*-4)/sqrt(2)) + 5.
-36*sqrt(13) + 5
Simplify ((4 + -6*sqrt(57)/sqrt(3) + (sqrt(133)*-1)/sqrt(7))**2 + (sqrt(2736)*-1 - (sqrt(19) + -1)*-5))*-4.
-3768 + 252*sqrt(19)
Simplify -5 + (((sqrt(33)/sqrt(99))**2 - (sqrt(3) + sqrt(3) + 0 + -4)**2) + 5 - (-1 + (-2*sqrt(243)*-1*-4)**2)).
-46736/3 + 16*sqrt(3)
Simplify 2 + (-1 + (sqrt(720) - 2*(sqrt(720) + 0)) + (sqrt(720) + sqrt(720) + sqrt(720)*1 + 5 - 2*sqrt(720)*2))**2.
-192*sqrt(5) + 2898
Simplify -3*((-4 + sqrt(19) + -4)*-3 + (6*(sqrt(2299) + -1))**2).
-248472 + 2385*sqrt(19)
Simplify 4 + (6*6*sqrt(99)*-1 + 1 - 4*(sqrt(99) + -4 + sqrt(99) + -1 - (sqrt(99) + -5*-2*sqrt(99))))**2.
445
Simplify ((-3*5*sqrt(2058) - sqrt(2058))*-6)/(sqrt(1728)/sqrt(8) - (sqrt(6)*-3 + sqrt(6))*3).
56*sqrt(7)
Simplify ((2*sqrt(468)*-3*3)**2 - (sqrt(468) - (-1 + sqrt(468))*4 - (sqrt(468) - (-5 + sqrt(468) + 1 + sqrt(468) - sqrt(468) - sqrt(468))))**2) + -4 + 3.
144143
Simplify (-3*(sqrt(2904) - (sqrt(2904)*-1*-4 + sqrt(2904))))/(sqrt(224)/(sqrt(14)/sqrt(2)) - (sqrt(1568) - (sqrt(1568) + -2*sqrt(1568) - sqrt(1568)))).
-33*sqrt(3)/10
Simplify -4 + -5*6*(-5 + (sqrt(8) - sqrt(2)) + -4 + (sqrt(128) + 1*sqrt(128))*-4 + sqrt(128)).
266 + 1650*sqrt(2)
Simplify ((4*(sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 1*sqrt(1053)))) + sqrt(1053) + sqrt(1053) + 2*sqrt(1053) + -4 - (-1 + (-2 + sqrt(1053))*-6))*4 + -1)**2.
-43920*sqrt(13) + 1688521
Simplify ((sqrt(153) + 0)*4 - (sqrt(153) + 4 + (sqrt(153) - (sqrt(153) - sqrt(153)*-1))))**2 - (sqrt(153)*-2*2)/(sqrt(9) - sqrt(99)/(-2*sqrt(11))).
-280*sqrt(17)/3 + 2464
Simplify (-2 + (sqrt(76) + -4 + sqrt(76) + 1 + sqrt(76) + 2 + -2*sqrt(76) + -1 - (5*(sqrt(76) - -1*sqrt(76) - sqrt(76)) - (sqrt(76)*3*6 - sqrt(76)))))**2.
-208*sqrt(19) + 12860
Simplify (sqrt(95) + -3*((sqrt(95) - sqrt(95)*1) + sqrt(95)) + sqrt(95) - (-2*sqrt(95) + sqrt(95))*5)/(-2*-6*(sqrt(5) - sqrt(180)*6)).
-sqrt(19)/105
Simplify -3*(3*(2 + sqrt(832) - -2*sqrt(208)) + 6*((sqrt(130)*4)/sqrt(10) + sqrt(13)) + -5).
-234*sqrt(13) - 3
Simplify -1*((3*((sqrt(308)*2 - sqrt(308)) + sqrt(308)))/(2*sqrt(567)) - (2*sqrt(1100)*4 + (2*sqrt(1100) + 2)**2)).
478*sqrt(11)/3 + 4404
Simplify ((5*sqrt(847)*1 + -4*(sqrt(847) - 2*sqrt(847)) + 0 + 5*(sqrt(847) + 1))*2)**2*4.
24640*sqrt(7) + 2656592
Simplify ((sqrt(405) - 4*(sqrt(405) + 4)) + 2)**2 + 0 + (-5*(sqrt(320) + -3))**2.
-444*sqrt(5) + 12066
Simplify ((-4 + sqrt(68) + 1 + 1)*5*1 + 4 + 0)**2.
-120*sqrt(17) + 1736
Simplify (4 + ((sqrt(15)/sqrt(45) + (sqrt(72)/sqrt(2))/sqrt(12))*-4 - sqrt(147)*1*5*-1))**2.
712*sqrt(3)/3 + 7969/3
Simplify 0 + -6*-3*(3 + (-2 + sqrt(3564))**2 + -1).
-1296*sqrt(11) + 64260
Simplify (-1*(sqrt(143)/(sqrt(11) + sqrt(99)) - (-1 + -1*sqrt(13))) + ((sqrt(130) + (sqrt(130) - sqrt(130)*3) + sqrt(130))*-2)/(sqrt(810) + 1*sqrt(810)))**2.
5*sqrt(13)/2 + 341/16
Simplify ((sqrt(720) - (sqrt(720) + 2))*1 + -3 + sqrt(720) + 2 + -1*(sqrt(720) + sqrt(720) + sqrt(720)*-1) + (sqrt(720) - (0 + sqrt(720)*-1)))**2.
-144*sqrt(5) + 2889
Simplify (-3*2*(sqrt(88) + (sqrt(88) + sqrt(88)*2)*2))/(sqrt(392) + 1*sqrt(392)*-1 + (1*sqrt(392)*2 - sqrt(392))).
-6*sqrt(11)
Simplify (-2*sqrt(216) + sqrt(6) - sqrt(24)*2)/(-3*sqrt(128)/sqrt(4)) + -3.
-3 + 5*sqrt(3)/4
Simplify -5 + -1 + (sqrt(54)/(sqrt(294)*-2))/(sqrt(30)/(sqrt(10) - -4*sqrt(250))).
-6 - 3*sqrt(3)/2
Simplify (2*sqrt(972))/(sqrt(81)*-4) - (-2 + -3 + sqrt(108)*-2)**2.
-457 - 121*sqrt(3)
Simplify ((sqrt(220) - (sqrt(220) + 6*(sqrt(220) - 2*sqrt(220))))/(-2*sqrt(400)))/(sqrt(100)/sqrt(5) - (sqrt(720)*1 - sqrt(720) - sqrt(720))).
-3*sqrt(11)/140
Simplify (4*((4 + 2*sqrt(99) - sqrt(99)) + sqrt(99) - sqrt(99)) - (0 + (sqrt(77)*-1)/sqrt(7))*-2)**2.
320*sqrt(11) + 1356
Simplify -2*((sqrt(2) - sqrt(32)) + 0 + (sqrt(2) - sqrt(450)))**2 - (sqrt(112)/sqrt(32))/(sqrt(7)*2*3).
-1156 - sqrt(2)/12
Simplify 3 + (6*((-6*sqrt(72)*-2 - sqrt(72)) + (sqrt(72) + -1)*5 + 1))**2.
-27648*sqrt(2) + 664131
Simplify (2 + (2*-1*sqrt(162) + sqrt(162))**2*6 - (-1*(3 + sqrt(162)) - (-1 + sqrt(162) + -4 - sqrt(162)))**2) + -3.
36*sqrt(2) + 805
Simplify 2*(-3*sqrt(143)*2*-4)/((sqrt(11) + 2*sqrt(33)/sqrt(3) - sqrt(11))*4).
6*sqrt(13)
Simplify 3 + ((-6*sqrt(81))/(3*sqrt(15)/sqrt(5)) - (sqrt(363) + (sqrt(363) - (3*(sqrt(363) + 3) + sqrt(363) + sqrt(363)))**2 + 0)).
-5886 - 809*sqrt(3)
Simplify 3*(-6*sqrt(432)*-3 + sqrt(432)*1 + -4)**2*6*6.
-196992*sqrt(3) + 16844544
Simplify (1*(-3*sqrt(171)*-4 + -2 - 4*(-1*sqrt(171) + 5)))**2*-5.
-221300 + 10560*sqrt(19)
Simplify 3*4*sqrt(11) + -1*sqrt(88)/sqrt(8) - (3*sqrt(99) + sqrt(44)/sqrt(196))**2.
-45056/49 + 11*sqrt(11)
Simplify (sqrt(72) + -1*(sqrt(72) - sqrt(72)*-2)**2 + sqrt(72) - (1*sqrt(72)*2)**2)*-2 - ((-1 + sqrt(72))*4 + -4)**2*-1.
-408*sqrt(2) + 3088
Simplify 1 + (4*((0 + sqrt(176) + -3 - (sqrt(176) + -1)*3) + -1*sqrt(176)*-2 + -5*(sqrt(176) + 0)))**2.
70401
Simplify ((-4*(-1 + sqrt(98) + 3 - (sqrt(98)*1 + -5)) - (3 + 5 + (sqrt(98) - 2*sqrt(98)) + -3)) + 4)**2.
-406*sqrt(2) + 939
Simplify (((1*-1*sqrt(117) - 6*1*sqrt(117))*-2)/((-5*(sqrt(81) - sqrt(81)*-2) + sqrt(81) - sqrt(81)) + 2*sqrt(81)*2 + sqrt(81)))**2.
637/225
Simplify ((sqrt(189) + (sqrt(189) + (sqrt(189) - sqrt(189)*1))*-6)/(sqrt(45)/sqrt(45)))/((sqrt(6)/sqrt(2)*-6 + ((sqrt(108)/sqrt(3))/sqrt(12) - sqrt(3)))*-6).
-5*sqrt(7)/12
Simplify -6*(-2*(sqrt(405) - sqrt(405)*3 - sqrt(405)) + 2 + (-2*sqrt(405))**2 + (3 + (sqrt(405) - (2 + sqrt(405) + 0)) + 0)**2).
-9738 - 324*sqrt(5)
Simplify ((-2*sqrt(4455))/(sqrt(315)/sqrt(7)))**2 - ((sqrt(66)/(sqrt(24)/sqrt(4)*-2))**2 - 3*((sqrt(176))**2 + 2)).
3709/4
Simplify (-2*sqrt(2430)*6 - (-5*(sqrt(2430) + sqrt(2430)*1) - sqrt(2430)))/((sqrt(726) - sqrt(726)*-3)*-5*3)*3.
9*sqrt(5)/220
Simplify (sqrt(45)/sqrt(3)*-3 + sqrt(15))/(sqrt(30)/(sqrt(50)/sqrt(5))) - ((-3 + sqrt(405) + sqrt(405) + (sqrt(405)*3 - sqrt(405)))**2 + -3).
-6486 + 214*sqrt(5)
Simplify ((2 + sqrt(80) + -1)*2 - sqrt(315)/(-5*-3*sqrt(7)))**2.
156*sqrt(5)/5 + 1541/5
Simplify (-4 + (sqrt(832) - 2*sqrt(832)*-6) - (-4 + (sqrt(13)*1*4 - (sqrt(143) + (sqrt(143) - 1*sqrt(143) - sqrt(143)))/sqrt(11))))**2.
130000
Simplify -6*((2*(sqrt(128) + -1 + sqrt(128)))**2 + 1 + 0 + sqrt(1152)).
-12318 + 624*sqrt(2)
Simplify ((sqrt(175)*-1)**2 - (sqrt(7) + -1)*1) + sqrt(112)*2 + -3 - (((sqrt(42) - (sqrt(42) + (sqrt(42) - -2*sqrt(42)))*-1) + sqrt(42))/(sqrt(6)*-1*-1) + -1).
sqrt(7) + 174
Simplify 3 + (-5*(0 + sqrt(304) + sqrt(304)) - (-5 + (sqrt(304) - (-1 + sqrt(304))) - sqrt(304))**2) + (-2*(sqrt(171))**2*-2 - (sqrt(304) - -5*-1*sqrt(304))).
-56*sqrt(19) + 367
Simplify ((((sqrt(72) + 2*sqrt(72))*-4)/(sqrt(27)/(sqrt(9)*2)))/((1*sqrt(5808))/((-2*sqrt(12) - sqrt(12))/sqrt(2))))**2.
15552/121
Simplify 2 + (-3 + (sqrt(900) + (-1*sqrt(900) + sqrt(900))*6)/((sqrt(132) - sqrt(132)*1*-3)/sqrt(11)))**2.
-15*sqrt(3)/2 + 251/16
Simplify ((sqrt(50) - sqrt(200)/(sqrt(4) - -1*sqrt(4)) - sqrt(50))*5)/(sqrt(10)*2*-2 + (sqrt(10) + sqrt(40)/sqrt(4))*1).
5*sqrt(5)/4
Simplify (sqrt(70)/(sqrt(7)*-1) - (sqrt(810)*-4 - sqrt(10)))/((sqrt(2) - (sqrt(8) - sqrt(128)) - (sqrt(242) + sqrt(242)*-2 - sqrt(242)))*-3).
-12*sqrt(5)/29
Simplify -3 + ((3 + (sqrt(68)*-5 - sqrt(68)))**2 - sqrt(119)/(sqrt(448)*4 - sqrt(448) - sqrt(7))).
-1657*sqrt(17)/23 + 2454
Simplify 5 + 3 + ((-2 + sqrt(99) + 0 + 5)**2 - 6*(2*(-2 + sqrt(99)))**2).
-2356 + 306*sqrt(11)
Simplify -5 + -1*((sqrt(1584)*2 + -2)**2 - sqrt(1584)) - (-2 + -3*sqrt(110)/(sqrt(10) + sqrt(160) + sqrt(10) - sqrt(10)) + 5)**2.
-158949/25 + 558*sqrt(11)/5
Simplify (-2*(2 + (sqrt(320) - -2*sqrt(320)) + -4 + 4)*-3*5)**2.
86400*sqrt(5) + 2595600
Simplify 1*(sqrt(1296) + 2*sqrt(1296) + sqrt(1296) - -1*sqrt(900))/(-4*3*sqrt(588)).
-29*sqrt(3)/84
Simplify -3*-2*sqrt(1573) + sqrt(1573) + -3 + -1 + (-1*sqrt(1300))**2*5.
77*sqrt(13) + 6496
Simplify ((2*(sqrt(66)*2 + sqrt(66)) + sqrt(66))/((sqrt(54)*-2)/sqrt(9)) + -3*(sqrt(99) + 0 + 0 + sqrt(99)))**2.
20339/4
Simplify (3*2*sqrt(152) - (sqrt(152) - -4*(sqrt(152) - sqrt(15
|
{
"pile_set_name": "DM Mathematics"
}
|
Give prob of picking 1 k and 1 q.
3/5
Two letters picked without replacement from bbnvbbnvnbn. What is prob of picking 1 n and 1 v?
8/55
Calculate prob of picking 2 t when two letters picked without replacement from urrrtrrrrthrbtrtt.
5/68
Calculate prob of picking 2 d when two letters picked without replacement from dddcdc.
2/5
Two letters picked without replacement from dbddn. What is prob of picking 2 n?
0
What is prob of picking 1 k, 2 g, and 1 h when four letters picked without replacement from jgkhjgj?
1/35
Three letters picked without replacement from {n: 1, l: 1, q: 1, m: 1, b: 2, h: 1}. Give prob of picking 3 q.
0
What is prob of picking 3 w when three letters picked without replacement from wlwwwwwwwlwl?
21/55
Two letters picked without replacement from zgznzggzgwkgzgz. Give prob of picking 1 z and 1 g.
12/35
Calculate prob of picking 1 e and 1 v when two letters picked without replacement from wevwwwwwvw.
2/45
What is prob of picking 3 s and 1 l when four letters picked without replacement from {s: 5, l: 9}?
90/1001
Two letters picked without replacement from csucuucsusscuscscuc. Give prob of picking 1 c and 1 s.
14/57
What is prob of picking 1 h and 2 v when three letters picked without replacement from {h: 4, m: 4, v: 2, x: 1}?
4/165
What is prob of picking 1 k and 1 o when two letters picked without replacement from kdfddffdfddkkfkoff?
4/153
Three letters picked without replacement from {v: 5, h: 1, c: 3, q: 9}. Give prob of picking 3 c.
1/816
What is prob of picking 3 i and 1 o when four letters picked without replacement from {z: 2, o: 6, q: 2, h: 3, i: 5}?
1/51
Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {c: 3, p: 1, l: 5, a: 3, b: 2, v: 1}.
3/455
What is prob of picking 1 q and 2 h when three letters picked without replacement from {t: 2, q: 2, h: 2}?
1/10
Calculate prob of picking 2 l and 1 e when three letters picked without replacement from ewwwwewwewleweelleel.
4/95
Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {w: 18, l: 1}.
2/19
Calculate prob of picking 1 f and 2 k when three letters picked without replacement from kkkffkkkkfk.
28/55
What is prob of picking 1 h, 1 n, and 2 f when four letters picked without replacement from hfhhhhililfns?
1/143
Calculate prob of picking 3 x when three letters picked without replacement from xxxxxxbxxbbbxxbx.
33/112
Two letters picked without replacement from ooozozoozozooooozoo. What is prob of picking 1 o and 1 z?
70/171
Two letters picked without replacement from uuiuuuuiivuvvvuuuu. What is prob of picking 1 v and 1 i?
4/51
Calculate prob of picking 2 v and 1 x when three letters picked without replacement from ssjxtjvsjsxsvxsxsss.
4/969
Three letters picked without replacement from {b: 2, f: 1, i: 1, s: 4, j: 1}. Give prob of picking 1 f, 1 i, and 1 j.
1/84
Calculate prob of picking 1 g and 3 d when four letters picked without replacement from {h: 1, g: 4, d: 5, m: 5, n: 1}.
2/91
Three letters picked without replacement from qbyqqqbbvqbvbvvq. Give prob of picking 1 b and 2 v.
3/56
Four letters picked without replacement from {t: 1, y: 2, e: 7, x: 1, z: 3}. Give prob of picking 1 y, 1 t, 1 x, and 1 z.
6/1001
Three letters picked without replacement from {v: 1, u: 2, j: 1, r: 1, x: 1, q: 2}. Give prob of picking 1 r, 1 x, and 1 q.
1/28
Three letters picked without replacement from qqqq. What is prob of picking 3 q?
1
Calculate prob of picking 2 o, 1 a, and 1 k when four letters picked without replacement from {q: 8, k: 1, u: 1, a: 6, t: 2, o: 2}.
2/1615
What is prob of picking 2 p when two letters picked without replacement from vavavvppa?
1/36
Three letters picked without replacement from ddtdidtdjddddriitrit. What is prob of picking 1 d and 2 r?
3/380
Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {w: 1, i: 2, f: 1, g: 1, q: 2}.
2/35
What is prob of picking 2 c when two letters picked without replacement from cggggggcggcggcggggg?
2/57
Calculate prob of picking 1 o, 1 g, and 1 t when three letters picked without replacement from {g: 1, h: 2, o: 1, t: 1, k: 2}.
1/35
Calculate prob of picking 3 n when three letters picked without replacement from ninnmmnfn.
5/42
Calculate prob of picking 2 l when two letters picked without replacement from {p: 5, l: 14}.
91/171
What is prob of picking 2 a when two letters picked without replacement from {v: 4, g: 2, a: 8}?
4/13
What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhhhdhhhhhhhh?
9/10
Calculate prob of picking 2 o and 1 u when three letters picked without replacement from {d: 2, n: 3, o: 7, h: 1, u: 5}.
35/272
Four letters picked without replacement from {b: 3, s: 4, e: 1}. What is prob of picking 1 e, 2 s, and 1 b?
9/35
Three letters picked without replacement from nnnnnqqnnnnnnnnnnnn. Give prob of picking 2 n and 1 q.
16/57
Three letters picked without replacement from {p: 6, t: 4, o: 2}. What is prob of picking 2 p and 1 t?
3/11
Two letters picked without replacement from {l: 3, t: 8}. What is prob of picking 2 l?
3/55
Three letters picked without replacement from {n: 2, k: 8}. Give prob of picking 2 k and 1 n.
7/15
Calculate prob of picking 3 l when three letters picked without replacement from lxllllllllllllllll.
5/6
Calculate prob of picking 1 n, 2 h, and 1 b when four letters picked without replacement from hbznh.
1/5
Three letters picked without replacement from uxxxxxexxexxo. What is prob of picking 3 x?
42/143
Calculate prob of picking 1 t and 1 n when two letters picked without replacement from ffftnhnfztzz.
2/33
Two letters picked without replacement from {z: 4, x: 2}. What is prob of picking 2 x?
1/15
Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {c: 7, j: 1, e: 1, d: 1, o: 3}.
7/26
Two letters picked without replacement from hheeeeeeeeeii. What is prob of picking 1 e and 1 h?
3/13
Two letters picked without replacement from ensnesnsppses. What is prob of picking 1 e and 1 p?
1/13
Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {p: 3, h: 3, x: 3, i: 5, t: 4}.
5/51
Calculate prob of picking 2 y and 2 u when four letters picked without replacement from {y: 2, u: 8}.
2/15
Four letters picked without replacement from kkkggkkkk. What is prob of picking 3 k and 1 g?
5/9
What is prob of picking 1 p, 1 a, and 1 t when three letters picked without replacement from {r: 2, t: 1, n: 2, a: 4, p: 3}?
3/55
What is prob of picking 2 p when two letters picked without replacement from rprrp?
1/10
Two letters picked without replacement from {c: 3, r: 2, h: 1, o: 1}. Give prob of picking 1 r and 1 o.
2/21
What is prob of picking 1 q, 1 r, and 1 a when three letters picked without replacement from zmmqmmazwmzammmr?
1/280
Calculate prob of picking 2 e and 1 g when three letters picked without replacement from pppepgpeppeeppepeep.
7/323
Four letters picked without replacement from bbbbbbjbjjjbbbjbbjj. What is prob of picking 3 b and 1 j?
385/969
What is prob of picking 1 k, 1 q, and 1 h when three letters picked without replacement from qkkkkyqgyqyhk?
15/286
Three letters picked without replacement from vbobvvbvvfrrvv. What is prob of picking 1 r and 2 v?
3/26
Two letters picked without replacement from iizfllllf. What is prob of picking 1 z and 1 i?
1/18
Four letters picked without replacement from {v: 3, i: 1, k: 10, l: 1}. What is prob of picking 1 i, 2 v, and 1 k?
2/91
Three letters picked without replacement from {u: 1, m: 10, a: 6, k: 1, e: 1}. Give prob of picking 1 k and 2 m.
15/323
Two letters picked without replacement from llvbl. What is prob of picking 1 l and 1 v?
3/10
Calculate prob of picking 1 v and 1 f when two letters picked without replacement from oavwvfvoofo.
6/55
Three letters picked without replacement from kummkckmkkkc. What is prob of picking 2 c and 1 m?
3/220
Two letters picked without replacement from nfyynynnyynfnynfn. What is prob of picking 1 y and 1 f?
9/68
Four letters picked without replacement from vjvufuuuu. Give prob of picking 2 v, 1 u, and 1 f.
5/126
Two letters picked without replacement from pjgjggppgppjgyppgyp. What is prob of picking 1 g and 1 j?
2/19
Calculate pro
|
{
"pile_set_name": "DM Mathematics"
}
|
7?
45/7
(-10270)/(-36340)*20/13
10/23
What is (-376)/2444*(-91)/12*((-99)/70)/(-11)?
3/20
Evaluate 47816/834*16/(-160)*15/(-2).
43
What is the value of (12551/17115)/(1/(-5))?
-11/3
738/3*(-652)/1956
-82
Calculate -1*9/(45/134)*1810/724.
-67
What is the value of ((-2)/(32/(-16)))/((-140)/(-6720))?
48
315/3969*-105*-9
75
(-4*6/8)/(5*270/200)
-4/9
What is the value of (55566/(-588))/(17226/(-464))?
28/11
Evaluate (1050/(-39900))/((16/(-48))/((-10)/(-3))).
5/19
What is the value of (2/24)/(((-363)/(-2904))/(46/6))?
46/9
What is ((-3157)/25256)/((-2)/112)?
7
Evaluate (15/9)/(((-31)/124)/((-54)/(-18))).
-20
Evaluate (10/((-80)/(-24)))/(-18*(-697)/(-984)).
-4/17
Evaluate (-63)/(-7)*(-290)/(-3045).
6/7
What is (180/270)/(10/((-770)/33))?
-14/9
What is the value of ((-12)/(-31)*3531/31779)/((-68)/6)?
-2/527
What is 47*(-7)/(3/(-3))*1*25/(-175)?
-47
Evaluate ((-10)/4)/(110/(-1815))*(-120)/90.
-55
Evaluate (((-12810)/(-57035))/((-12)/(-44)))/((-14)/(-4)).
4/17
What is 12249/963588*(-12)/(-9)?
1/59
Calculate (-4306)/(-36601)*340/8.
5
What is the value of -1*(-2)/24*-45*(-62)/(-4185)?
-1/18
((46*1/(-5))/((-116)/58))/((-2)/10)
-23
Calculate 2*(-1443)/370*(-35)/3.
91
What is the value of ((-292)/(-10))/((33/(-330))/((-2)/(-8)))?
-73
Calculate (318/2014)/((-85)/969).
-9/5
Calculate (94/141)/(2/27)*(2821/(-21))/(-31).
39
What is the value of 48/23*11047/(-176752)?
-3/23
What is ((-302)/(-63420))/((-51)/476)?
-2/45
What is ((45/(-42))/(-14*(-126)/4116))/(215/4)?
-2/43
What is the value of (-57)/57*(-57)/(-38)?
-3/2
Evaluate (56/112)/(14/1316).
47
Calculate 4/(-48)*2*(4554/(-115))/22.
3/10
What is 108/6*(-1053)/173745?
-6/55
Calculate (2/(-3))/((-154)/539*(-5)/(-150)).
70
What is (-2)/3*7455/(-17395)?
2/7
Calculate 39222/15253*(-70)/6.
-30
What is (((-66)/(-693))/((-3)/30))/((-228)/1330)?
50/9
-66*168/3234*-14
48
Calculate (78/(-312)*4)/(16/2).
-1/8
Evaluate 364250/3525*(-9)/(-15).
62
What is the value of (-9*-46*68/(-81328))/((-84)/26)?
3/28
What is ((324/(-189))/((-180)/84))/((18/5)/1)?
2/9
(150/(-27))/((-4625)/(-16650))
-20
(1/4)/((-304)/(-342)*18)
1/64
Calculate (8/7)/(16120/2015).
1/7
What is ((-10988)/(-34440)*28)/(2/30)?
134
12*(-2)/(-21)*(-30)/(-6)*(-9)/90
-4/7
What is ((-3364)/29*(-3)/6)/((-13)/(65/10))?
-29
Calculate (((-414)/(-23))/(-72))/(7/(-1064)).
38
What is (205/1845)/(((-22)/(-48))/11)*(-45)/(-48)?
5/2
Evaluate (-90544)/(-79226)*14/104.
2/13
What is (1/21)/((-20579)/9498)?
-2/91
(((-36)/312)/((-6)/(-224)*12))/(66/(-594))
42/13
(-33)/(-660)*10*(-12)/120
-1/20
Evaluate (1/(6/(-1)))/((-8)/12)*(-3576)/6705.
-2/15
What is 866/(-3031)*1239/(-4)*(-6)/9*1?
-59
Evaluate 6*308*81/10692.
14
What is the value of ((10/6)/(-5))/((-18531)/(-5751))?
-3/29
Calculate ((-24)/52)/(1833/95316).
-24
Calculate (-30*32/(-560))/(3/(189/6)).
18
Calculate (-4)/21*1974/1081*-46.
16
What is (14/(-7)*1/(-4))/(((-773955)/162)/147)?
-1/65
Calculate -2*14/(-392)*238.
17
What is the value of (-13*26/3380*(-30)/24)/((-41)/(-16))?
2/41
Calculate (68/(-10)*48762/(-15351))/(6/(-20)).
-72
What is (-4)/((-12)/(-321))*-2*6*26/312?
107
Evaluate (-490)/70*(81/(-63))/(6/(-12)).
-18
What is the value of ((14/(-6))/((-31850)/(-32760)))/((-22)/10)?
12/11
What is the value of (3/13)/((12/1296*-9)/((-1)/12))?
3/13
What is the value of (12/189)/((-30)/(-1080)*-40)?
-2/35
Evaluate 273/(-252)*6*-4*-3.
-78
Calculate ((-24)/104*-2)/((693/(-11))/21).
-2/13
Calculate 1/((-180)/1400*-7*140/(-12)).
-2/21
What is the value of (-30)/5*(-15006)/1476?
61
What is the value of (110/(-66))/(2200/(-480))?
4/11
What is 51*(-845)/25857*110/32*(-12)/50?
11/8
(14/(-3))/((-1910)/(-5730)*(-12)/2)
7/3
Evaluate 48/(-2688)*21*104.
-39
What is the value of (-96)/30*5/(-2)*(-1290)/(-1166160)?
1/113
Calculate 1530/68*(-4)/(-140).
9/14
Evaluate ((-75)/45)/((215/6)/(-43)).
2
Evaluate (((-6)/3)/1)/(((-320)/(-248))/20).
-31
(2/(-3))/(((-50232)/3334149)/((-8)/(-3)))
118
What is the value of ((-192)/7392)/((-21)/(-441))?
-6/11
Calculate 429/(-36)*199050/(-72985).
65/2
((4/(-46))/1)/((-99)/198)
4/23
((76/18)/(-19)*1476/(-4))/(-2)
-41
((-576)/(-1008))/(1*4/(-28))
-4
What is 27/((3/(-60)*-2)/(637/(-3822)))?
-45
Calculate (((-30)/105)/((-1)/108))/((-76)/(-266)).
108
Evaluate (-25608)/(-1164)*(-74)/22.
-74
What is the value of 208/(-364)*(-2730)/(-715)?
-24/11
What is (7/((-630)/(-6)))/((-645)/1325475)?
-137
Calculate (8/12)/((-6)/54)*(6840/(-1485))/(-19).
-16/11
What is the value of (24/48)/((-57)/1938)?
-17
Evaluate 18873/(-699)*5/675*-5.
1
Evaluate 114/(-18)*((-18)/12)/(27/54).
19
What is (-6)/(-8)*(-32)/960*-1240?
31
24*(-16)/1224*270/(-144)*3
30/17
Evaluate 2*8*(1/2)/(4350/(-1740)).
-16/5
What is the value of ((-4452)/(-18656))/(135/(-20))*(-3)/(-7)?
-1/66
What is ((-5)/(19*-5))/(((-2945)/(-589))/((-5)/(-1)))?
1/19
Evaluate (80/35)/8*24*(-259)/(-53280).
1/30
Evaluate (-49)/49*238/323*38.
-28
Calculate (5/(50/44))/(4302/43020).
44
(-5)/171*3*((-56)/(-112))/((-20)/8)
1/57
What is (-182)/(-65)*(448/24)/(-8)*24/980?
-4/25
7017/1064245*56/12
2/65
Calculate 12/((-2412)/(-1005))*(-24)/(-20).
6
Evaluate (32/144)/((29192/1107)/(-89)).
-3/4
What is the value of (62/(-248))/((-1)/(-496)*4)?
-31
What is (-60)/(-124)*(-1214)/9105?
-2/31
What is (3/(-42)*2)/(4/(-14))*-4*4?
-8
Evaluate (-1*(-3)/(-6)*2)/(261/9657).
-37
Calculate -54*90/(-330)*-22*(-2)/(-12).
-54
Evaluate ((-580)/(-3))/5*(-185)/(-296)*(-153)/255.
-29/2
What is ((-8)/(-10))/((-22)/935*(-4)/40*5)?
68
Calculate ((12/2)/3)/((-61)/8235*-45).
6
((2534/(-1448))/((-1)/4))/((-45)/5)
-7/9
(-9)/((96/160)/(48/(-12)))
60
What is the value of (96/(-34))/((-84942)/(-320892))?
-32/3
8/24*63*17/102
7/2
Calculate 24/((-3528)/(-49))*(-72)/344.
-3/43
What is 1/(-60)*(-25)/(-6)*190/950?
-1/72
What is the value of ((-30636)/(-46))/(-74)*82/18?
-41
(-5)/(-3)*(-294)/(-1372)*-14
-5
((-16)/1680*-7)/((-60)/60)
-1/15
Evaluate (12/(-8))/((910/(-56))/(-65)).
-6
Evaluate (((-2)/6)/((-2)/(-48)))/((-1)/4).
32
Evaluate 50/(-132)*(-928560)/96725.
40/11
What is -30*56/42*6/(-10)?
24
What is the value of -2*(290/(-1305))/(28/(-180))?
-20/7
What is the value of 242/33*-13*(-36)/(-156)?
-22
Evaluate ((-7*7/98)/(5/(-7)))/((-44)/330).
-21/4
Calculate 1/(44/33)*((-4680)/(-1242))/13.
5/23
((-4)/10)/(672/8120)*6/(-1)
29
Evaluate (-19*580/13224)/((-50)/9).
3/20
What is the value of 85*((-4)/(-13))/(((-20)/(-3))/(23842/2751))?
34
Evaluate ((16/6)/(-2))/(13840/269880).
-26
What is the value of -18*(-117)/(-9126)*351?
-81
Calculate 3*((-3280)/(-112))/41.
15/7
14/12*(-477)/(-1113)*(-12)/66
-1/11
(77/4774*155)/(1*(-3)/(-6))
5
Calculate 112/280*30/288.
1/24
What is ((22/(-3))/(-1))/(89/(5073/38))?
11
Calculate (42/(-9)*18/12)/(186/31).
-7/6
((-2)/((-4)/2)*4)/(65/(-520))
-32
Calculate 1148/82*6*(-4)/(-210).
8/5
Evaluate (-1422)/1659*23/(4830/196).
-4/5
Calculate -2*1*((-6655)/(-528))/(-121)*(-4)/(-30).
1/36
Evaluate ((-30)/(-220)*-11)/(8/((-48)/531)).
1/59
Calculate ((-44)/10)/((-926)/(-463)).
-11/5
Evaluate ((-45)/(33390/(-8)))/(88/308).
2/53
198/(-1518)*1/6*32/16
-1/23
What is 56/8*((7/(-6))/(-7))/(204/8568)?
49
Calculate ((16/108)/((-39)/351))/(4/(-186)).
62
Evaluate (20/(-1))/((-139)/(598395/820)).
105
Evaluate 112/1824*(198/3003)/((-6)/(-26)).
1/57
Calculate (-3228)/2959*(-1408)/(-48).
-32
1*8/(-2204)*1943/(-134)
1/19
What is 9120/200*685/274?
114
Evaluate (3/(-39))/((-7212)/78130).
5/6
(-1*(-21)/1092*13)/(13/(-1183))
-91/4
Calculate (35/(-2)*(-2)/30)/((-259)/(-37)).
1/6
(0/39)/((2/8)/(16/64))
0
Evaluate (110974/610357)/((-3)/((-3663)/2)*3).
37
Calculate ((325/(-26))/(3/18))/(4*2/8).
-75
What is the value of (387/6)/((-576)/384)?
-43
What is (-3312)/7360*76/(-285)?
3/25
Calculate 4/36*-2*((-204)/(-24))/17.
-1/9
Evaluate (((-2)/(-18))/(-11*14/924))/((-2)/129).
43
Calculate -1*1/(-2)*(-1)/((-63)/252).
2
(1/(-30))/((-4148)/352580)
17/6
Evaluate 1/(-4)*(60/10)/((-36)/64).
8/3
What is (-770)/(-10)*(-16)/84*-6?
88
What is the value of ((-3)/(72/(-10)))/(31*(-675)/(-11160))?
2/9
Calculate 4938/(-88884)*(-3)/((-66)/8).
-2/99
Calculate (12/(-6))/(42/((-1974)/(-1175))).
-2/25
Calculate ((-42)/16464*-56)/((-8)/504).
-9
(-2)/117*3*3*45/(3060/(-32708))
74
Evaluate ((501207/406)/(-823))/(((-4)/(-2))/4).
-3
What is the value of (-1)/(((-2)/4)/((-91)/91))*4/18?
-4/9
Evaluate 175/200*-8*-24*6/(-18270)*5.
-8/29
(4500/(-10))/10*2227/(-1
|
{
"pile_set_name": "DM Mathematics"
}
|
term of 3865, 7728, 11591?
3863*b + 2
What is the p'th term of 32, 12, -10, -34, -60, -88, -118?
-p**2 - 17*p + 50
What is the v'th term of 4412, 4410, 4408, 4406?
-2*v + 4414
What is the y'th term of -32, -65, -96, -125, -152, -177, -200?
y**2 - 36*y + 3
What is the c'th term of -1154, -2316, -3482, -4652, -5826?
-2*c**2 - 1156*c + 4
What is the q'th term of -18, -16, 8, 66, 170, 332, 564, 878?
2*q**3 - q**2 - 9*q - 10
What is the p'th term of -1, -37, -75, -115, -157, -201, -247?
-p**2 - 33*p + 33
What is the t'th term of 4948, 4947, 4946, 4945, 4944, 4943?
-t + 4949
What is the z'th term of 39, 22, -7, -54, -125, -226, -363?
-z**3 - 10*z + 50
What is the r'th term of 19, 29, 41, 55, 71, 89, 109?
r**2 + 7*r + 11
What is the z'th term of -6, -75, -202, -393, -654, -991, -1410, -1917?
-z**3 - 23*z**2 + 7*z + 11
What is the g'th term of -111, -108, -107, -108, -111, -116?
-g**2 + 6*g - 116
What is the i'th term of 6, 46, 116, 216, 346, 506?
15*i**2 - 5*i - 4
What is the o'th term of 191, 194, 197, 200, 203, 206?
3*o + 188
What is the l'th term of 23, 40, 79, 152, 271, 448?
2*l**3 - l**2 + 6*l + 16
What is the c'th term of 32, 8, -40, -124, -256, -448, -712?
-2*c**3 - 10*c + 44
What is the v'th term of -60, -58, -56, -54?
2*v - 62
What is the x'th term of -87, -92, -97, -102?
-5*x - 82
What is the z'th term of -69, -60, -31, 30, 135, 296?
2*z**3 - 2*z**2 + z - 70
What is the d'th term of -11240, -11252, -11278, -11324, -11396, -11500, -11642?
-d**3 - d**2 - 2*d - 11236
What is the k'th term of 35, 160, 367, 656, 1027, 1480, 2015?
41*k**2 + 2*k - 8
What is the p'th term of 662, 659, 654, 647?
-p**2 + 663
What is the c'th term of -66, -60, -52, -42?
c**2 + 3*c - 70
What is the n'th term of 108, 145, 182?
37*n + 71
What is the s'th term of -10, -4, 4, 14?
s**2 + 3*s - 14
What is the m'th term of -44, -116, -236, -404, -620, -884?
-24*m**2 - 20
What is the n'th term of 42, 73, 90, 87, 58?
-n**3 - n**2 + 41*n + 3
What is the z'th term of 78, 174, 268, 360, 450, 538?
-z**2 + 99*z - 20
What is the w'th term of -2, -3, -4, -5, -6?
-w - 1
What is the w'th term of 17, 53, 99, 155, 221, 297?
5*w**2 + 21*w - 9
What is the o'th term of 2, -15, -42, -85, -150, -243, -370?
-o**3 + o**2 - 13*o + 15
What is the y'th term of -40, -73, -90, -85, -52?
y**3 + 2*y**2 - 46*y + 3
What is the u'th term of -31, -69, -121, -193, -291, -421, -589, -801?
-u**3 - u**2 - 28*u - 1
What is the o'th term of -3898, -3910, -3930, -3958, -3994, -4038?
-4*o**2 - 3894
What is the r'th term of -434, -435, -436, -437?
-r - 433
What is the z'th term of -317, -635, -953, -1271?
-318*z + 1
What is the m'th term of -48, -73, -96, -117, -136, -153, -168?
m**2 - 28*m - 21
What is the n'th term of -4, -17, -32, -49?
-n**2 - 10*n + 7
What is the b'th term of 4, -6, -18, -32, -48, -66?
-b**2 - 7*b + 12
What is the r'th term of 51, 80, 133, 216, 335, 496, 705?
r**3 + 6*r**2 + 4*r + 40
What is the y'th term of -24, -21, -18, -15?
3*y - 27
What is the f'th term of -226, -217, -202, -181, -154, -121?
3*f**2 - 229
What is the c'th term of -66, -57, -20, 57, 186, 379, 648, 1005?
2*c**3 + 2*c**2 - 11*c - 59
What is the h'th term of -16, -54, -116, -202, -312, -446?
-12*h**2 - 2*h - 2
What is the t'th term of 27, 109, 245, 435, 679?
27*t**2 + t - 1
What is the o'th term of -246, -499, -752?
-253*o + 7
What is the z'th term of -316, -315, -314?
z - 317
What is the z'th term of 1264, 1258, 1250, 1240, 1228, 1214, 1198?
-z**2 - 3*z + 1268
What is the p'th term of -7016, -28071, -63162, -112289, -175452?
-7018*p**2 - p + 3
What is the t'th term of -5212, -5213, -5214, -5215?
-t - 5211
What is the w'th term of -298, -1210, -2724, -4834, -7534, -10818, -14680?
w**3 - 307*w**2 + 2*w + 6
What is the h'th term of 72, 122, 186, 270, 380, 522, 702, 926?
h**3 + h**2 + 40*h + 30
What is the c'th term of 29, 50, 73, 98, 125?
c**2 + 18*c + 10
What is the u'th term of -150, -250, -350?
-100*u - 50
What is the o'th term of 2, 62, 200, 446, 830, 1382, 2132, 3110?
5*o**3 + 9*o**2 - 2*o - 10
What is the m'th term of -3, -24, -47, -72, -99, -128, -159?
-m**2 - 18*m + 16
What is the i'th term of -148, -298, -440, -568, -676?
i**3 - 2*i**2 - 151*i + 4
What is the w'th term of 2326, 4661, 6998, 9337, 11678, 14021, 16366?
w**2 + 2332*w - 7
What is the x'th term of -45, -108, -161, -198, -213, -200?
x**3 - x**2 - 67*x + 22
What is the d'th term of -776, -1558, -2344, -3134, -3928, -4726?
-2*d**2 - 776*d + 2
What is the k'th term of 17, 216, 751, 1790, 3501?
28*k**3 + 3*k - 14
What is the t'th term of 35, 39, 45, 53?
t**2 + t + 33
What is the o'th term of 17, 38, 67, 104, 149?
4*o**2 + 9*o + 4
What is the a'th term of -375, -729, -1079, -1425, -1767, -2105?
2*a**2 - 360*a - 17
What is the v'th term of 289, 577, 865, 1153, 1441?
288*v + 1
What is the k'th term of -263, -522, -781, -1040?
-259*k - 4
What is the c'th term of 130, 260, 390, 520, 650, 780?
130*c
What is the b'th term of -386, -395, -418, -461, -530, -631, -770?
-b**3 - b**2 + b - 385
What is the w'th term of 822, 817, 808, 795?
-2*w**2 + w + 823
What is the c'th term of 31, 112, 245, 430?
26*c**2 + 3*c + 2
What is the y'th term of 37, 56, 79, 100, 113, 112?
-y**3 + 8*y**2 + 2*y + 28
What is the s'th term of -67, -133, -199, -265, -331?
-66*s - 1
What is the v'th term of 42, 339, 1142, 2703, 5274, 9107?
42*v**3 + v**2 - 1
What is the c'th term of -59, -182, -293, -386, -455?
c**3 - 130*c + 70
What is the c'th term of 1339, 2676, 4013, 5350?
1337*c + 2
What is the g'th term of -209, -857, -1937, -3449, -5393, -7769?
-216*g**2 + 7
What is the q'th term of -1939, -1940, -1941, -1942, -1943?
-q - 1938
What is the o'th term of 13713, 13715, 13719, 13725, 13733?
o**2 - o + 13713
What is the q'th term of -476, -973, -1470, -1967?
-497*q + 21
What is the j'th term of -681, -1364, -2049, -2736, -3425, -4116, -4809?
-j**2 - 680*j
What is the u'th term of -27, -10, 33, 114, 245, 438, 705?
2*u**3 + u**2 - 30
What is the k'th term of -13, -79, -181, -313, -469, -643, -829, -1021?
k**3 - 24*k**2 - k + 11
What is the i'th term of -17, -9, -1, 7?
8*i - 25
What is the g'th term of 4, 28, 70, 130, 208?
9*g**2 - 3*g - 2
What is the d'th term of -6, -17, -32, -51, -74, -101?
-2*d**2 - 5*d + 1
What is the p'th term of -549, -556, -555, -540, -505, -444?
p**3 - 2*p**2 - 8*p - 540
What is the t'th term of -1, -3, 3, 17?
4*t**2 - 14*t + 9
What is the s'th term of -4200, -8402, -12604, -16806, -21008, -25210?
-4202*s + 2
What is the p'th term of -337, -664, -995, -1330?
-2*p**2 - 321*p - 14
What is the o'th term of 75, 148, 221?
73*o + 2
What is the q'th term of 48, 100, 152, 204, 256?
52*q - 4
What is the l'th term of -155, -320, -471, -602, -707?
l**3 + l**2 - 175*l + 18
What is the z'th term of -38, -27, -2, 43, 114, 217, 358?
z**3 + z**2 + z - 41
What is the r'th term of -266, -274, -302, -362, -466, -626, -854?
-2*r**3 + 2*r**2 - 266
What is the x'th term of 545, 1085, 1625?
540*x + 5
What is the v'th term of 3148, 3151, 3156, 3163, 3172?
v**2 + 3147
What is the u'th term of -772, -1541, -2308, -3073, -3836, -4597?
u**2 - 772*u - 1
What is the w'th term of -33, -56, -93, -144?
-7*w**2 - 2*w - 24
What is the n'th term of 447, 447, 449, 453, 459, 467?
n**2 - 3*n + 449
What is the j'th term of 14, 21, 30, 41, 54, 69, 86?
j**2 + 4*j + 9
What is the q'th term of 63, 40, 7, -30, -65, -92, -105?
q**3 - 11*q**2 + 3*q + 70
What is the o'th term of 34, 72, 126, 202, 306, 444?
o**3 + 2*o**2 + 25*o + 6
What is the n'th term of 71, 125, 223, 371, 575, 841, 1175?
n**3 + 16*n**2 - n + 55
What is the m'th term of -764, -763, -762, -761, -760?
m - 765
What is the w'th term of 427, 425, 433, 457, 503?
w**3 - w**2 - 6*w + 433
What is the g'th term of 49, 136, 269, 454, 697, 1004, 1381?
g**3 + 17*g**2 + 29*g + 2
What is the o'th term of -9797, -19593, -29389, -39185, -48981, -58777?
-9796*o - 1
What is the l'th term of 889, 895, 915, 955, 1021, 1119, 1255?
l**3 + l**2 - 4*l + 891
What is the l'th term of -635, -629, -611, -575, -515, -425?
l**3 - l - 635
What is the y'th term of 24, 64, 124, 210, 328, 484, 684?
y**3 + 4*y**2 + 21*y - 2
What is the h'th term of -56, -71, -100, -149, -224, -331, -476?
-h**3 - h**2 - 5*h - 49
What is the y'th term of -35, -200, -643, -1502, -2915, -5020?
-23*y**3 - y**2
|
{
"pile_set_name": "DM Mathematics"
}
|
200
In base 10, what is -3 + -7648?
-7651
In base 9, what is 416546 - 2?
416544
In base 5, what is 2 + -1103044?
-1103042
In base 15, what is -26e36 - -3?
-26e33
In base 3, what is 21 + -12001120210?
-12001120112
In base 8, what is -4 - 73521?
-73525
In base 3, what is -21110 + 202122?
111012
In base 4, what is 11222 - -211?
12033
In base 13, what is -1 - -248b1?
248b0
In base 8, what is 65 + 32?
117
In base 8, what is 10263 + -116?
10145
In base 10, what is 83 + -269?
-186
In base 16, what is 23 + 2443?
2466
In base 6, what is 3505 - 43?
3422
In base 4, what is 1 + -1102311113?
-1102311112
In base 2, what is -100110010 - -111111?
-11110011
In base 5, what is 11 + -114441?
-114430
In base 6, what is -41442 + 50?
-41352
In base 11, what is 7361 + 3?
7364
In base 7, what is 3311300 + -5?
3311262
In base 7, what is 3405 + -61?
3314
In base 12, what is -1428a + 4?
-14286
In base 4, what is 1110331 + -103?
1110222
In base 6, what is -44423 - -15?
-44404
In base 5, what is 13120310 - -31?
13120341
In base 14, what is -159a94 - -4?
-159a90
In base 2, what is 100 - 10100010000001?
-10100001111101
In base 13, what is 5 + 644?
649
In base 2, what is 1010101001101 + 1010?
1010101010111
In base 5, what is 1444034 - -1?
1444040
In base 12, what is -1734 + -13?
-1747
In base 4, what is 2011 + 10103?
12120
In base 5, what is 12023 + 30?
12103
In base 5, what is -10433 + -40304?
-101242
In base 5, what is 11400 + -13210?
-1310
In base 12, what is a1 + 146?
227
In base 15, what is -41 - 69c?
-6dd
In base 3, what is -2002 - 1011010?
-1020012
In base 6, what is -1 + 111512?
111511
In base 12, what is 76194 - 2?
76192
In base 2, what is 100 + 10010111001100100?
10010111001101000
In base 12, what is -3 - -93a9?
93a6
In base 9, what is 8513 - -56?
8570
In base 16, what is 5 - -2bc28?
2bc2d
In base 4, what is 12320332 + -3?
12320323
In base 7, what is 2 - 36150?
-36145
In base 12, what is 53 - -144?
197
In base 9, what is -1568 - 2?
-1571
In base 11, what is 10756 + -aa?
10657
In base 16, what is e98f - -6?
e995
In base 16, what is 1 + -896ca?
-896c9
In base 13, what is -5a3b2 - -1?
-5a3b1
In base 6, what is 1315532 + -132?
1315400
In base 12, what is -24454 - -3?
-24451
In base 15, what is -40eb + -39?
-4135
In base 15, what is 0 + -2550b?
-2550b
In base 5, what is -131142 - -4033?
-122104
In base 14, what is 1841 + -9?
1836
In base 15, what is -5d + 1131?
10c3
In base 16, what is -1 + a27f?
a27e
In base 14, what is 1ccd00 + 2?
1ccd02
In base 10, what is -2406573 - 2?
-2406575
In base 2, what is -100 - 110110100100001?
-110110100100101
In base 16, what is -3 + 297a2?
2979f
In base 13, what is 8136 + 0?
8136
In base 8, what is -204233 + -3?
-204236
In base 3, what is -10122220200002 + 0?
-10122220200002
In base 9, what is 35 + -235?
-200
In base 5, what is -34 + -3234?
-3323
In base 11, what is -1383 + -9?
-1391
In base 3, what is -1100000 - -202221?
-120002
In base 13, what is -a41 - 16c?
-bb0
In base 11, what is 123 + -120?
3
In base 5, what is -3012 + -11334?
-14401
In base 8, what is -1 - 252654?
-252655
In base 2, what is -101011 + 101000011010111?
101000010101100
In base 2, what is -10011110001 + 11000110101?
101000100
In base 3, what is 112110 + -2120201?
-2001021
In base 16, what is 499a42 + 0?
499a42
In base 3, what is 1021021110 - -1?
1021021111
In base 6, what is -51 + 54140?
54045
In base 8, what is 104165 - 5?
104160
In base 3, what is 200010 + 212010?
1112020
In base 12, what is 7b59 + 0?
7b59
In base 2, what is -11 + -101101101111110?
-101101110000001
In base 9, what is 0 + 504?
504
In base 8, what is 11376 + 425?
12023
In base 15, what is -14d6c8 - -4?
-14d6c4
In base 13, what is -3 - -52796?
52793
In base 11, what is 99 - 13490?
-133a2
In base 6, what is 4 - 34434?
-34430
In base 8, what is 526 - 211?
315
In base 9, what is 225053 - 4?
225048
In base 14, what is 0 + 1c468?
1c468
In base 16, what is 8665 - -5?
866a
In base 15, what is 2a - c9?
-9e
In base 16, what is 171 - -20d2?
2243
In base 15, what is 806 - -76?
87c
In base 4, what is -1 + 3013?
3012
In base 9, what is -3 - 3561862?
-3561865
In base 3, what is -1111 - 20?
-1201
In base 8, what is 115 + -2404?
-2267
In base 5, what is 104 - -21000?
21104
In base 11, what is -1a6022 + -4?
-1a6026
In base 10, what is 15 + 10017?
10032
In base 2, what is -11001 + 11110011101100?
11110011010011
In base 13, what is 4 - -3b539?
3b540
In base 14, what is b1 - 70d?
-63c
In base 11, what is -20244 - -4?
-20240
In base 9, what is 18 - 178?
-160
In base 13, what is -2aa - 9b7?
-c94
In base 11, what is 301955 - 0?
301955
In base 8, what is -10257 - 50?
-10327
In base 6, what is 3 + 1014333?
1014340
In base 12, what is -3b - -934?
8b5
In base 13, what is 1 + a0363?
a0364
In base 8, what is 32 + -16323?
-16271
In base 15, what is baca0 + 4?
baca4
In base 16, what is -f82 - -1f?
-f63
In base 15, what is -6072b - 6?
-60732
In base 5, what is -3 + -2041432?
-2041440
In base 5, what is 100001 - 3?
44443
In base 10, what is -1586 + 114?
-1472
In base 4, what is 10 - -332130?
332200
In base 10, what is -27 - 10939?
-10966
In base 12, what is 41335 + 5?
4133a
In base 4, what is 2130003 - 0?
2130003
In base 2, what is -1001001011110110100 - -101?
-1001001011110101111
In base 9, what is -1654 + -8?
-1663
In base 13, what is -48 - 1a93?
-1b0b
In base 11, what is 27 + 231a1?
23218
In base 14, what is -63b + 98?
-583
In base 5, what is 101 - -31332?
31433
In base 8, what is 231504 + 2?
231506
In base 10, what is -7 + 5561?
5554
In base 3, what is 112 + 1200102010?
1200102122
In base 7, what is 5 + -1225661?
-1225653
In base 12, what is -9 + -4979?
-4986
In base 4, what is -11213 + -3201?
-21020
In base 7, what is -12353645 - -1?
-12353644
In base 11, what is -396436 - 2?
-396438
In base 16, what is -47c57 + 3?
-47c54
In base 10, what is -38802 - -5?
-38797
In base 12, what is -91bb + 2b?
-9190
In base 3, what is -2 - 12000202?
-12000211
In base 3, what is 1210021 + -221222?
211022
In base 13, what is -6 - 80acc?
-80b05
In base 16, what is 15e10 + -4?
15e0c
In base 15, what is -d - 13d12?
-13d20
In base 13, what is 152 - a5?
7a
In base 6, what is 1352 - 213?
1135
In base 10, what is -22 - -1139?
1117
In base 12, what is -aa5 - 12?
-ab7
In base 11, what is 23261 - 3?
23259
In base 4, what is 10130332200 - 1?
10130332133
In base 16, what is 50 - 351?
-301
In base 14, what is -2b716 - -1?
-2b715
In base 12, what is 3ba5 + -1a5?
3a00
In base 10, what is -151 - 3586?
-3737
In base 10, what is -1 - -11157?
11156
In base 10, what is -62 - -1159?
1097
In base 2, what is 110 + 1011101100100?
1011101101010
In base 4, what is 10110012301 + -2?
10110012233
In base 14, what is 15 + -c1d9?
-c1c4
In base 12, what is 392a9 + 3?
392b0
In base 4, what is -3230300 - 3?
-3230303
In base 2, what is 10 - -101001011101111010?
101001011101111100
In base 6, what is 14 - 10123?
-10105
In base 4, what is 101031 - 120?
100311
In base 9, what is -15 + 1570?
1554
In base 12, what is -66 + -488?
-532
In base 3, what is -1202220121 - 2?
-1202220200
In base 5, what is -230300232 - 3?
-230300240
In base 11, what is -1430 - -356?
-1085
In base 7, what is -5413 - -14050?
5334
In base 9, what is -4 - -1036451?
1036446
In base 11, what is 1775 + -219?
1557
In base 10, what is -150829 - -3?
-150826
In base 14, what is -50 - -60b?
59b
In base 10, what is -3 + 18375?
18372
In base 2, what is 10110000 - 111010?
1110110
In base 6, what is 2 + 15022125?
15022131
In base 16, what is 3098 + -4f?
3049
In base 6, what is -2 - 2245551?
-2245553
In base 12, what is ab295 + -1?
ab294
In base 15, what is -12ac9 + -1?
-12aca
In base 3, what is -2 - 120201200121?
-120201200200
In base 12, what is -24b7 + 2?
-24b5
In base 2, what is -10111 + -110010000001011?
-110010000100010
In base 16, what is -363 + -2d3?
-636
In base 15, what is 6b - -313?
37e
In base 16, what is 237 + 6a4?
8db
In base 12, what is -17a753 + -4?
-17a757
In base 9, what is 4543 + -1?
4542
In base 16, what is 3 - b1d7?
-b1d4
In base 2, what is 1000000001010110100011 + 100?
1000000001010110100111
In base 15, what is -644 + 3e?
-605
In base 9, what is 2278 - -76?
2365
In base 10, what is 2 + -115?
-113
In base 4, what is 20012 - 1131032?
-1111020
In base 7, what is 344 - 35024?
-34350
In base 13, what is 4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
-0*b + 4*s + 72. Let c be (b/35)/((-2)/(-14)). Calculate the highest common divisor of 96 and c.
12
Suppose 4*s + 24 = 4*n, 0 = -2*s - 0*s. Suppose -4*q = -n*q. Suppose -4*c - 2*h + 20 = q, 3*c - c - h - 14 = 0. What is the highest common divisor of c and 24?
6
Let z be (-5)/((-2)/4*60/90). Calculate the greatest common divisor of z and 180.
15
Let z(p) = -4*p - 10. Let x be z(-3). Suppose -5*a + 3*l + 79 = 0, 0*a - a + 20 = -x*l. Calculate the highest common factor of a and 182.
14
Let i(a) = 6*a**3 - 8*a + 4. Let b be i(2). Suppose -5*l - 13 = -253. Calculate the highest common divisor of b and l.
12
Suppose 0 = -5*u + 3*u + 10. Let q = 451 + -326. Calculate the greatest common factor of u and q.
5
Let d = 263 - -1500. What is the greatest common divisor of 41 and d?
41
Suppose 6*s - s = 5*y + 405, y = 4*s - 324. Calculate the greatest common divisor of s and 891.
81
Suppose -7*k - 6 = -468. Calculate the highest common divisor of 154 and k.
22
Suppose -h - 2*h + 72 = 0. Let u be (-15)/(-12)*4 + -4 - -1. Suppose 5*t = -w + 6*w + 1335, 2*t + u*w = 522. Calculate the highest common factor of h and t.
24
Suppose 27*y - 3990 = 8*y. Calculate the greatest common factor of 42 and y.
42
Let v be 0/3 + 10 + 180. Calculate the highest common factor of 60 and v.
10
Let p(k) = -271*k - 3467. Let u be p(-13). Let f(d) = 7*d**3. Let q be f(1). What is the highest common factor of q and u?
7
Suppose 0 = 3*c - 2*t - 496, -6*t = -2*c - 3*t + 334. Let z = -80 + c. Calculate the highest common divisor of 21 and z.
21
Suppose 30*j - 425 = 535. What is the greatest common factor of j and 112?
16
Let s(m) = -25*m - 7. Let p be s(-1). Let o(a) = 17*a**2 - 3*a - 2. Let w be o(-2). What is the highest common factor of p and w?
18
Let b = -209 + 223. Let z = -126 + 238. What is the highest common factor of b and z?
14
Suppose -28*n + 5619 + 7233 = 0. Calculate the greatest common divisor of n and 34.
17
Let b be -3*-2*(-3)/45*-25. Calculate the highest common factor of 50 and b.
10
Suppose -14*x + 54 = -13*x. Let h = x + -31. Calculate the highest common divisor of 115 and h.
23
Suppose 0 = 8*y + 3*y - 5808. What is the highest common divisor of 33 and y?
33
Let y(o) = -2*o**3 - 3*o + 0*o + 7*o**2 - 10*o**2 + 6*o. Let u be y(-5). Calculate the greatest common factor of u and 20.
20
Let s be 5 - -2 - (0/4)/(-4). Suppose -8*z + s*z + 11 = 0. What is the greatest common factor of z and 33?
11
Let d(b) = 11*b**2 - b + 8. Let i be d(4). What is the highest common divisor of i and 36?
36
Let m(b) = 6*b - 34. Let s be m(9). Let o be ((-42)/28)/((-3)/s). Suppose -3*r - 4 = -16. What is the highest common factor of r and o?
2
Suppose -76 - 5 = -3*k. Let g be k/2*8/6. Let n be 5 - (-1 + 5 + -11 - -3). Calculate the greatest common factor of n and g.
9
Let r be ((-75)/12)/5 - 14490/(-72). Calculate the highest common divisor of 225 and r.
25
Let q = 97 + -89. What is the greatest common divisor of 1 and q?
1
Suppose 24*j = 27*j - 6. Let y = 72 - j. Calculate the highest common factor of 14 and y.
14
Let u be (-3 - (-42)/(-9))*(-1 - 50). Calculate the greatest common divisor of 34 and u.
17
Suppose -4*o = -12, 21 = 3*h + 8*o - 3*o. What is the greatest common factor of h and 12?
2
Let n = 7 + -6. Let q be (9/(-27))/(n/9). Let u be (-4)/q - 6/(-9). What is the highest common factor of u and 2?
2
Let d be (-1)/((30/(-1080))/((-1)/(-2))). Calculate the highest common divisor of 99 and d.
9
Let u(v) = 5*v + 430. Let p be u(-26). What is the greatest common divisor of 700 and p?
100
Let h = -55 - -53. Let b be ((-6)/(-4) - 2)/(h/72). What is the highest common factor of b and 9?
9
Let k = 11 + -17. Let p(n) = -n**2 - 9*n - 4. Let m be p(k). Calculate the greatest common divisor of m and 70.
14
Let g be ((-12)/10)/(281963/(-25630) + 11). Calculate the greatest common factor of g and 4.
4
Suppose -5*b - 32 - 8 = 5*y, b - 8 = 3*y. Let g be 3 + 4*11 + 4/y. What is the greatest common divisor of 184 and g?
46
Let x(h) = -6*h**2 - 3*h - 4. Let p be x(-3). Let i = p + 34. Let l = i - -28. Calculate the greatest common factor of 39 and l.
13
Let a be ((-2)/(-5))/(-16 - (-11202)/700). Calculate the highest common divisor of 28 and a.
28
Suppose -2*x + 14 = 2*c + 4, 5*x - 46 = 2*c. Suppose -2556 + 268 = -11*m. Calculate the highest common divisor of x and m.
8
Let w(k) = -k**2 - 6*k + 1. Let q be w(-6). Let t = -27 - -9. Let g be ((-8)/10)/(t/45). Calculate the highest common factor of g and q.
1
Let f(q) = 32*q**2 + 9*q + 25. Let m be f(-5). What is the highest common factor of 78 and m?
78
Let b be (-2 + 1)/(2/(-22)). Suppose 13 = -b*c + 57. Let p(x) = -12*x**3 - x - 1. Let o be p(-1). Calculate the greatest common factor of o and c.
4
Let y(r) = -2910 + 2909 - 4*r + 13*r. Let a(g) = -g**3 - 5*g**2 - 2*g - 7. Let w be a(-5). Let s be y(w). What is the highest common factor of 39 and s?
13
Suppose -h + 673 = -3*x, 3*x - 2767 = 2*h - 6*h. What is the greatest common divisor of 43 and h?
43
Suppose v = 7*v - 36. Let u(g) = g**3 - 6*g**2 + 5*g + 2. Let l be u(v). Calculate the greatest common divisor of 96 and l.
32
Suppose -48527 = -53*n + 1293. What is the highest common divisor of 40 and n?
20
Suppose -7*j + 5*x = -6*j - 49, -5*x + 71 = 4*j. What is the highest common factor of 32 and j?
8
Let n = -10 - -43. Calculate the greatest common factor of n and 18.
3
Let a(r) = 4*r**2 - r + 2. Let x be a(-2). Let n = -5447 + 5577. Calculate the highest common factor of n and x.
10
Let v be 24/(-18)*(12 + 0). Let c be (-18)/(-12)*v/(-6). Let i be 3*c + 5 + -3. Calculate the greatest common divisor of i and 35.
7
Let i(j) = -j**3 - 21*j**2 - 29*j - 26. Let q be i(-20). Let u = 25 - 11. Calculate the greatest common divisor of q and u.
14
Let p(o) = -4*o + 3. Let z be p(5). Let h = 35 + z. Suppose 0 = 50*u - 311 - 1489. Calculate the highest common factor of h and u.
18
Let m = -10 - -19. Let n(p) = -2*p**2 + 37*p + 27. Let b be n(19). Let q(o) = 5*o + 32. Let a be q(b). What is the highest common divisor of a and m?
9
Let j = -43 - -31. Let b = 31 + j. Let g = 26 - b. Calculate the greatest common divisor of g and 56.
7
Let g = 1348 - 1202. Calculate the greatest common divisor of g and 73.
73
Let n be ((-25)/(-2))/(6 + 66/(-12)). Suppose -8 = -c + n. Calculate the greatest common factor of 22 and c.
11
Let i = -1212 + 1756. Calculate the greatest common divisor of i and 17.
17
Suppose -34*t + 26*t = -56. What is the highest common divisor of 7 and t?
7
Let d be 12 + (-16)/(96/(-18)). What is the greatest common divisor of d and 345?
15
Suppose -2*y = 2*r - 10, -5*r + 14*y = 11*y - 25. Calculate the highest common divisor of 40 and r.
5
Let y = -96 + 142. Let a = y + -24. Suppose -q = -1 - 1. What is the highest common divisor of a and q?
2
Let o(t) = -t + 23. Let d be o(11). Let s(i) = i - 6. Let l be s(d). Let q be 1328/56 + l/21. Calculate the greatest common divisor of q and 6.
6
Suppose -4*h + 0*h - i = -67, 21 = 2*h + 3*i. Let a be 594*(-5 + 64/12). What is the highest common divisor of h and a?
18
Let z(u) = -2*u - 22. Let x be z(-13). Suppose -x*m + 11*m - 2184 = 0. What is the highest common divisor of 24 and m?
24
Let v(x) = 5*x**2 + 126*x + 49. Let f be v(-25). Calculate the highest common factor of f and 18.
6
Let h = 28 + -15. Let r be (-4*h)/(-4) + -2. What is the highest common divisor of 22 and r?
11
Let x(s) = 16*s - 311. Let p be x(60). What is the greatest common factor of p and 59?
59
Let a be (-10 - -5) + (-3 - -195 - 3). Calculate the highest common factor of a and 24.
8
Let b(d) = 2*d**3 - 39*d**2 - 16*d + 35. Let r be b(20). Calculate the highest common factor of 115 and r.
115
Let t be 36 - (1 - (1 + -3)). Let n = 253 + -137. Suppose -4*q + n - 28 = 0. What is the greatest common factor of q and t?
11
Suppose -163*y = -170*y + 196. What is the highest common factor of y and 4?
4
Suppose 2*a = -0*a + 16. Let t(y) = -5*y + 270. Let z be t(46). Calculate the highest common factor of z and a.
8
Let l(h) = h**3 + 28*h**2 + 8*h + 82. Let f be l(-27). What is the greatest common factor of f and 85?
85
Let p be 7/56 - (-31)/8. Suppose -p*z + 10 = 2, 5*j + 4*z = 203. What is the highest common factor of 13 and j?
13
Suppose 3*q = r + 8, -4*r - q - 14 = -4*q. Let u be 0 + r/(-1) +
|
{
"pile_set_name": "DM Mathematics"
}
|
t derivative of -3*c*y + 58405*c - 12*y**4 + y**3 - 551*y wrt y?
-3*c - 48*y**3 + 3*y**2 - 551
Find the second derivative of 10*m**3*y**2 + 8567*m**3*y + 2*m**3 - 50129*y**2 wrt y.
20*m**3 - 100258
Find the third derivative of 53*f**6 - 295*f**3 + 2072*f**2 - 3*f wrt f.
6360*f**3 - 1770
Find the third derivative of 162454*n**4 + 67*n**2 + 84*n - 4 wrt n.
3898896*n
Find the first derivative of 45*t**3 + 146*t - 10592 wrt t.
135*t**2 + 146
What is the second derivative of -3*j*r**2*u**2 + 582*j*r*u - 33*j*u**2 - 20*r**2 - 2*r*u**2 - u**2 wrt u?
-6*j*r**2 - 66*j - 4*r - 2
What is the second derivative of -106103*n**2 + 32480*n wrt n?
-212206
Find the first derivative of 3997*a**2*y**2 + 4*a*y**2 - 42619*y**2 wrt a.
7994*a*y**2 + 4*y**2
Find the second derivative of 2224772*l**5*s + 30*l*s - 3*l + 2*s + 43 wrt l.
44495440*l**3*s
Find the third derivative of 25*h**3*q + 469*h**3 - h**2*q - 74*h**2 - 1 wrt h.
150*q + 2814
Find the first derivative of 1669*n*z**2 - 166*n*z + 50674*z**2 + 3*z wrt n.
1669*z**2 - 166*z
What is the third derivative of -2461250*f**4 + 3205*f**2 + 7*f - 2?
-59070000*f
Find the second derivative of 107145*x**3 - 2*x**2 + 2179514*x wrt x.
642870*x - 4
What is the third derivative of -19*g**2*r**3*s + 2*g**2*r**3 + 49*g**2*r**2*s - 70*g**2*r**2 - g**2 + g*r**2 + g*s + 13*r**3 wrt r?
-114*g**2*s + 12*g**2 + 78
What is the second derivative of -2965845*v**2*w**3 - v + 6195*w**3 + 2*w**2 + 52*w wrt v?
-5931690*w**3
Find the third derivative of 1353586*f**3 + 63*f**2 - 1834*f wrt f.
8121516
Differentiate 424*k**4 - 3*k**2 + 21628.
1696*k**3 - 6*k
Find the second derivative of 504044*u**3 + 3*u + 53489.
3024264*u
Find the third derivative of 2*k**2*t**3 - 3*k**2*t + k**2 + 1453202*t**3 - 5*t**2 + 2072 wrt t.
12*k**2 + 8719212
What is the third derivative of 2*j**3*x**3 + 149*j**3*x**2 + 4*j**3*x - 5*j**3 - 17682*j*x**4 wrt x?
12*j**3 - 424368*j*x
What is the derivative of 1828180*r - 3485966 wrt r?
1828180
Find the first derivative of -49256*b + 41186 wrt b.
-49256
What is the second derivative of -3140804*q**3 - 6125156*q?
-18844824*q
What is the second derivative of -32*c**3*d**3 + 819*c**2*d**3 - 6721*c - d**3 wrt c?
-192*c*d**3 + 1638*d**3
Find the second derivative of -55032*c**3 + c - 854.
-330192*c
Differentiate -25*q*r*s**2 - 237*q*r + q + r*s**4 - 4*r*s - 3*r + 3 with respect to s.
-50*q*r*s + 4*r*s**3 - 4*r
What is the third derivative of 55*d**3*r**3 - 8*d**3*r**2 + 706*d**3 - 4*d**2*r**3 - 4*d*r**3 - 4*d - 9*r**3 wrt r?
330*d**3 - 24*d**2 - 24*d - 54
Find the second derivative of -158*s**2*x**2 + 65*s**2 + s*x - 85*x**3 - 61 wrt x.
-316*s**2 - 510*x
What is the derivative of -37654*f - 42720 wrt f?
-37654
What is the second derivative of 245*n**3*r + 73*n**3 - n**2*r - 167*n*r - 1122*n wrt n?
1470*n*r + 438*n - 2*r
Differentiate 49862*v - 18416 with respect to v.
49862
Find the third derivative of 465593*l**3 - 96*l**2 + 3*l - 192 wrt l.
2793558
Find the third derivative of s**5 - 82*s**4 + 21*s**3 - 2870707*s**2.
60*s**2 - 1968*s + 126
What is the derivative of -1187*w**2 + 815*w + 2987815?
-2374*w + 815
What is the second derivative of -34*z**5 - 2*z**4 + 8*z**3 - 3*z + 993?
-680*z**3 - 24*z**2 + 48*z
What is the third derivative of -339477*c**3 + 32*c**2 + 3945?
-2036862
Find the second derivative of -63418*p**2*x + p - 99599*x wrt p.
-126836*x
What is the third derivative of -9*g**4*l**3 - 320*g**4 - g**3*l**2 + 6621*g**2*l**3 wrt g?
-216*g*l**3 - 7680*g - 6*l**2
Find the third derivative of -225255*u**6 - 93785*u**2 wrt u.
-27030600*u**3
What is the second derivative of 112215*c**4 + 2*c**2 - 1993148*c wrt c?
1346580*c**2 + 4
What is the third derivative of -574*h*r**2*x**3 - 6*h*x**2 + 1262*h + 25*r**2*x**3 - r**2*x wrt x?
-3444*h*r**2 + 150*r**2
What is the second derivative of 2*d**2*j*u + 4*d**2*u**2 - 3*d**2 - j*u**3 + 6*j*u - 182*j - 1115*u**4 wrt u?
8*d**2 - 6*j*u - 13380*u**2
Find the third derivative of l*s**6 - 12191*l*s**3 - 153*l*s**2 + 31*s**2 - 1 wrt s.
120*l*s**3 - 73146*l
Find the third derivative of t**4*w**3 - 8233*t**4 + 2*t**3 - 11*t**2*w**3 + 4*t**2*w - 198*t wrt t.
24*t*w**3 - 197592*t + 12
Find the second derivative of -334676*k**2*x + 93*k*x + 2*k - 432 wrt k.
-669352*x
What is the second derivative of -113845*s**2 - 3605*s - 22?
-227690
Find the third derivative of 10*d**3*f*g*j + 1892*d**3*f*j**2 + d**2*f*g*j - 2*d*f*j**2 + 14*f*g*j**2 - 74*g*j wrt d.
60*f*g*j + 11352*f*j**2
Differentiate -32*i*t**2*z + 299*i*t*z - 2*i - 3*t**2 - 141*t*z + 10*z - 2 wrt i.
-32*t**2*z + 299*t*z - 2
What is the second derivative of -14*a**4 + a**3 + 305*a**2 - 914497*a?
-168*a**2 + 6*a + 610
Find the third derivative of 461730*l*s**4 - 94893*l*s**2 - 4*l*s wrt s.
11081520*l*s
Differentiate m**2 - 2685*m + 12368.
2*m - 2685
Find the third derivative of 27*c**5 + 2*c**4 - 452*c**3 - 30839*c**2 + 7*c wrt c.
1620*c**2 + 48*c - 2712
Differentiate 20361*o**2*w - o**2 - 11*o + 54 with respect to w.
20361*o**2
Find the second derivative of -637*u**3 + 1786*u**2*z**2 - 4444981*u*z**2 wrt u.
-3822*u + 3572*z**2
Find the third derivative of -a*y**4 - a*y**3 - 2*a*y**2 - 1603*a*y - 3*a + 1173196*y**3 + 2*y**2 + 3*y wrt y.
-24*a*y - 6*a + 7039176
What is the second derivative of -106569*n**2 - 809*n - 18?
-213138
Find the second derivative of 43605*o**2 - 2198*o.
87210
What is the first derivative of -366876*x + 18540?
-366876
What is the first derivative of b**2*r**2 - 19554*b**2 + 151213*b*r**2 - 4*b wrt r?
2*b**2*r + 302426*b*r
What is the third derivative of 453*r*s**4 + 151*r*s**3 - 6*r*s**2 + 1156*r*s - 2*s**4 + 3*s wrt s?
10872*r*s + 906*r - 48*s
Find the second derivative of 1160220*c**2 - 107468*c + 2.
2320440
What is the second derivative of -13*q**4 - 96*q**3 - 2*q**2 - 983*q + 18 wrt q?
-156*q**2 - 576*q - 4
What is the third derivative of t**6 - 27122*t**5 - t**3 - 2*t**2 - 453041?
120*t**3 - 1627320*t**2 - 6
What is the third derivative of -w**4 + 31045*w**3 - 810*w**2 + 131*w?
-24*w + 186270
What is the first derivative of 2*h*p*x + 7*h*p - 4261*h*x + 525923*p*x - 2*p + 2*x wrt h?
2*p*x + 7*p - 4261*x
What is the third derivative of -2*w**4 + 154579*w**3*y**2 + 3*w**2*y**2 + w*y**2 - y**2 + 1807*y wrt w?
-48*w + 927474*y**2
Find the first derivative of -22*o**3 + 106*o + 28260.
-66*o**2 + 106
Differentiate 20*a**3 - 2*a**2 + 51*a + 39958 with respect to a.
60*a**2 - 4*a + 51
Find the second derivative of 22536*n**3 - n**2 - 47272*n.
135216*n - 2
What is the second derivative of 214302*f**5 + 2*f**4 - f + 308709 wrt f?
4286040*f**3 + 24*f**2
Find the third derivative of -u**5 - 82*u**4 - 1219*u**3 - 350*u**2 - 5*u + 122.
-60*u**2 - 1968*u - 7314
What is the second derivative of -297*u**4 + u**2 - 46916*u?
-3564*u**2 + 2
What is the second derivative of -101134*g**2*s**2*y**2 - 90*g**2*s*y**2 + 450*g**2*s wrt s?
-202268*g**2*y**2
What is the derivative of 954596*g**2 + 3917536?
1909192*g
What is the second derivative of 422*t**3 + 79*t**2 + 149570*t wrt t?
2532*t + 158
Differentiate -w**3 + 552*w**2 + 504*w + 2262626 wrt w.
-3*w**2 + 1104*w + 504
What is the second derivative of 25241*n*x**2 + 17*n*x - 88*n + 3*x**2 + 7*x - 1 wrt x?
50482*n + 6
What is the derivative of 7*j*n**2 - 7434*j + 317104*n**2 + 328 wrt n?
14*j*n + 634208*n
Find the first derivative of -12*p**3 + 81377*p*r**2 + r**2 + 2511*r - 73 wrt p.
-36*p**2 + 81377*r**2
What is the second derivative of -232*o**4 + 62*o**3 + 4*o**2 + 103063*o?
-2784*o**2 + 372*o + 8
Find the first derivative of -1493201*v - 1088316 wrt v.
-1493201
What is the third derivative of -2*k**2*v**3*w**2 - 27203*k**2*v**3 + 5*k**2*v**2*w**2 - k**2*v**2*w - k**2*w**2 - 3*k*w - k wrt v?
-12*k**2*w**2 - 163218*k**2
Find the second derivative of 51833*z**5 - 1097932*z wrt z.
1036660*z**3
Find the third derivative of 317766*s**3 + s**2 - 19487*s.
1906596
What is the third derivative of 87*n**3*o**2 + 7060*n**3*o - 25*n**2*o**2 + 10*n**2 - 2*n*o**2 + 2*n*o + 6*o**2 wrt n?
522*o**2 + 42360*o
What is the first derivative of -8*h*l*z - 4*h*l - h*v*z - h*v - 444*h - l*v + 17388*l*z + 2*l - 3*v wrt h?
-8*l*z - 4*l - v*z - v - 444
Find the second derivative of -1646593*l**2 + 2243342*l wrt l.
-3293186
What is the second derivative of 28*d**3*h - 15*d**3 - 5*d**2*h - d**2 - 3*d*
|
{
"pile_set_name": "DM Mathematics"
}
|
-0*m - m. Suppose a*h - 2*h = -m. Solve -h*r - 12 = -7*r for r.
4
Suppose -5*f + 5 = 5*u, 4*u = -0*u + 4*f - 4. Solve u*m + 2*m = 10 for m.
5
Suppose p = -5*q + 26, -23 = -3*p - 10*q + 6*q. Suppose -r = 3*u - 4, 4*u - 3*r + 16 = r. Solve p = -u*b - b for b.
-1
Let i(t) be the first derivative of -t**4/24 + 3*t**3/2 - t**2 - 3. Let b(h) be the second derivative of i(h). Let g be b(6). Solve -2*z + 5 = g*z for z.
1
Suppose 38*h = 42*h - 8. Solve -h*v - 21 = -25 for v.
2
Let s be (-30)/2*8/(-12). Suppose 0 = s*n - 13*n. Solve n*g = g for g.
0
Let a = 23 - 15. Let l be a/28 + 10/(-35). Let r be (l/(-2))/(-13 + 14). Solve r = 2*s - 2 + 4 for s.
-1
Let t = 23 - 35. Let y(a) = 2*a**2 + 24*a + 11. Let j be y(t). Solve -3*c + j = -1 for c.
4
Suppose 0 = 3*f - 24 + 6. Suppose -f = -4*r + 2. Suppose -r*h + 22 = 2*h - 5*d, d + 11 = 3*h. Solve -3*s = -h - 3 for s.
2
Let l = 2 - -1. Suppose 5*i - b = 9, -2*i + 2*b + 4 = -6. Suppose z = 2 + i. Solve -z = -3*f + l for f.
2
Suppose 0 = 2*m - 2*f + f - 9, -5*f = 2*m - 27. Solve -m*b = 13 - 1 for b.
-2
Suppose 5*f - 18 = -2*d, f + 4*d + 0*d = 18. Solve f = b - 3 for b.
5
Let o be (99/2)/11*-26. Let i = o + 120. Solve -i*c = -2*c for c.
0
Let y be (7/(0 - 3/3))/(-1). Suppose -2*u + 6 = 0, -y*w = -3*w + 4*u - 20. Solve 10 = 4*g + w for g.
2
Suppose -7*z + 159 + 212 = 0. Solve -47 + z = -3*n for n.
-2
Suppose -2*p = -206 + 200. Solve p*o = -0*o for o.
0
Suppose 0*f + 6*f + 24 = 0. Let j = f - -6. Solve -j*w + 4*w = 10 for w.
5
Let f be (-9)/(-9) - (0 + 1). Suppose 5*n + 3*g = 62, -4*n + 3*g - 8*g + 60 = f. Suppose l - 2 = n. Solve -2*s - l = -4 for s.
-4
Suppose -30*o = -9*o - 63. Suppose 5*p - 2*f = 92, 3*p - 3*f - 88 = -2*p. Solve o*x + p = -2*x for x.
-4
Suppose -18*g = -422 + 62. Solve g = -t + 18 for t.
-2
Suppose 0 = 41*v - 13*v - 28. Solve 5 = -f + v for f.
-4
Let n be 5 - 3 - (0 - (1 + 17)). Let k be ((-3)/(-6))/((14/n)/7). Solve 2*q + 3*q - k = 0 for q.
1
Let o = 348 - 346. Solve o*i = -0 + 2 for i.
1
Let z be (-170)/(-68)*(-12)/(-5). Solve 5*p + z = -p for p.
-1
Suppose 5*o = -2*b - 8, -5*o + 2*b - 5*b - 12 = 0. Solve 8*f - 3*f = o for f.
0
Suppose 2*c + 6 = -a + c, 5*a + 38 = -3*c. Let y be 6/a - 92/(-20). Let v be (-6)/(-8)*y + 1. Solve 13 = v*i - 3 for i.
4
Suppose 5*m = -4*h + 55, 5 = 136*m - 135*m + 2*h. Solve 18*v - m*v - 15 = 0 for v.
5
Suppose 0 = 5*p - 4*o - 0*o + 274, -3*o = -2*p - 111. Let u be (p/(-3) + 1)*-1. Let w = 21 + u. Solve -w*g = -5*g for g.
0
Suppose -62 = 10*u - 262. Solve -3*v = v - u for v.
5
Suppose 0 = 11*r - 46 - 20. Solve -6 = -r*a + 9*a for a.
-2
Suppose -h = h - j - 8, -3*h = 4*j - 12. Suppose h*z + 3*r - 2*r = 0, -3*z = -r. Suppose z = 5*p - p - 8. Solve -2*w + 16 = p*w for w.
4
Let w = 76 - 62. Let q = w + -14. Solve 0 = -v - q*v + 3 for v.
3
Let o(m) = m**2 - 3*m. Let s be o(3). Let c be s/(0 - (-6)/(-3)). Let y be 0 - (0/5 + -3). Solve y*t + 12 = -c*t for t.
-4
Suppose -19 - 1 = -3*r - s, 13 = 2*r + s. Solve r*c + 6 = -1 for c.
-1
Suppose 5*m + 7 = 17. Suppose 0 = -m*u - 5*a + 25, -5*u + 9 = -2*u - 2*a. Solve u*p + 0*p = 15 for p.
3
Let a be 3 + -7 + 0 - -4. Let u = a - 22. Let k = u - -24. Solve -4 = s - k*s for s.
4
Suppose -13*b - 409 = -487. Solve b*c + 5*c - 22 = 0 for c.
2
Suppose 3*l = -5*v + 15, -2*v = -28*l + 26*l - 6. Solve l = -15*z + 11*z for z.
0
Let h(n) = 2 + n**2 - 6*n**2 + 3*n + 3*n + n**3. Let b be h(3). Suppose q + 3 = b*q. Solve -8 = q*m - m for m.
-4
Let d = -18 + 21. Suppose d*y - 24 = -0*y. Solve 0 = -3*n + y*n + 20 for n.
-4
Suppose 37*c = -37*c + 87*c. Solve -p - 47 + 43 = c for p.
-4
Let b = -6 - -9. Suppose 2*f + b*s - 14 = 0, -3*f + s = -f + 2. Let t = f + 4. Solve j = 6*j + t for j.
-1
Let x(s) = 2*s**2 + 4*s + 9. Let n be x(-4). Let g be (-1 - 7/(-5)) + 90/n. Solve g*r = -2 + 10 for r.
2
Let q = 23 - 12. Suppose -5*h = -111 + q. Suppose -5*g + h = 0, 2*g = 3*a + 10 - 2. Solve -2*u + 8 = -a*u for u.
4
Let v = 115 + -163. Let u = v + 68. Suppose 5*w + u = -q + 6*q, -5*q - 10 = 5*w. Solve -g + 0 = -q for g.
1
Suppose -7*w = -14*w. Solve w = 8*m + 9 - 33 for m.
3
Let p be 0 + 4 + -6 - -7 - -3. Suppose -3*b = -0*b - 15. Suppose -5*k + 4*k + 3*c = -8, -4*c = b*k - 21. Solve -k*h + p = -h for h.
2
Suppose 2*x - 3*m + 3 = 10, 3*m - 7 = -5*x. Solve -x*h - 10 = -4*h for h.
5
Suppose -4*p - 3 = -p. Let j be 3 - (167 - (p - -4)). Let c be (-8)/(-6) - j/21. Solve c*i - 4*i = 0 for i.
0
Let u(t) = -5*t + 3*t + 7*t**2 + 0*t. Let m be u(1). Solve -m*l = -2*l + 3 for l.
-1
Let x(l) be the second derivative of 5/6*l**3 - 1/12*l**4 + 0 + l**2 + l. Let i be x(5). Solve -a = -3 - i for a.
5
Suppose -46*g + 43*g + 27 = 0. Let w(s) = 2*s**2 - 14*s - 26. Let h be w(g). Solve -5*d = -0*d - h for d.
2
Let v(s) = 8*s + 350. Let t be v(-35). Solve 2*o - 16*o - t = 0 for o.
-5
Suppose 0 = 470*m - 3942 - 3695 + 587. Let k = 8 - 4. Solve -k*n = n + m for n.
-3
Suppose -3*x = 3*b, -b = -3*b - 5*x. Let f = b - -20. Solve -2*t + f = -7*t for t.
-4
Let a be -7 + 6 + -1 - -4. Solve -a*v - 6*v - 8 = 0 for v.
-1
Let n(x) = -13*x - 41. Let k be n(-3). Let b be (26/52)/(k/(-4)). Solve -2*a - b = 1 for a.
-1
Suppose f + 16 = 5*f. Suppose 2*j - 11 = 3*w, -3*w - 11 = -3*j + 1. Solve b - j = -f for b.
-3
Suppose -81*z + 39*z - 111*z + 459 = 0. Let s = 10 - 7. Let m be 1/3 + s/(-9). Solve -z*l + 2*l + 1 = m for l.
1
Suppose 16 = -s + 4*l, 9*s - 2*l = 5*s - 8. Solve s = -37*d + 34*d + 12 for d.
4
Let g be -7 + 2 - (-1 - -56). Let r = g + 63. Solve 0*w + r*w = 0 for w.
0
Let k be -6*2/(-42) - 95/(-35). Solve -k + 0 = x for x.
-3
Suppose d + 2*d = -r + 31, -3*d + r = -29. Suppose -5*t - i - 5 = -d*t, 0 = -t - 3*i + 17. Solve -t*k = -k - 5 for k.
5
Let t(h) = -3*h + 38. Suppose v = 3*v - 20. Let k be t(v). Solve -k = -3*a + 7 for a.
5
Let t(z) = -z + 11. Let p be t(3). Suppose -i - p = -3*i + 4*y, -5*y = 3*i - 12. Solve 0*k + i = 2*k for k.
2
Suppose 0 = 21*c - 47 - 58. Solve 25 = -10*n + c*n for n.
-5
Let f be (35/(-2) + 0)/((-12)/24). Let m = f - 29. Solve m + 14 = 5*d for d.
4
Let v be (6 - 20)*1/4*-2. Solve -v*l = -20*l for l.
0
Let g be ((-3)/2)/((-7)/(-42)). Let x = g + 11. Suppose -d + 2 = 4*n, -n = -6*n + 3*d - 6. Solve n = -x*p - 1 - 5 for p.
-3
Suppose 0 = 10*j + 31 - 61. Solve 2*x = j*x + 2 for x.
-2
Let x be 3/(-1 - 2/4). Let u(m) = 2*m**2 + 7*m - 8. Let h(j) = -4*j**2 - 13*j + 15. Let w(v) = -6*h(v) - 11*u(v). Let l be w(x). Solve -3*i - l = -4*i for i.
4
Let v = 12 + 4. Let t(d) = 16*d - 176. Let z be t(10). Let s = v + z. Solve s = -3*q + 2*q + 2 for q.
2
Let t(b) = -b**3 + 2*b**2 - 60. Let c be t(0). Let d = -57 - c. Solve 2*p + d*p = -20 for p.
-4
Suppose 0 = 5*k + 11 - 121. Suppose 3*l - 7*l - 16 = -2*x, 3*x - k = 4*l. Solve x = -b + 1 for b.
-5
Let g(c) = -3*c - 9*c**2 - c**2 + 13 + 9*c**2 + 0*c. Let f be g(-5). Suppose 0*l - 24 = -4*l. Solve l = -f*x + 3 for x.
-1
Let r(f) = -4*f - 22. Let y be r(-10). Suppose 17 = -p + y. Solve -7 - p = 4*i for i.
-2
Suppose -13 = 5*v - 3*i + 2, -4*v + 20 = 4*i. Suppose -4*s = 5*x + s - 5, 2*x + 4*s + 2 = v. Let p = -6 - -13. Solve x*d = p*d for d.
0
Suppose -t + 2 = 5*i - 4, -3*i + 6 = 3*t. Solve -b + t = 2 for b.
-1
Suppose 18 - 2 = -4*w. Let z(n) = -22*n. Let d be z(w). Suppose -5*y + d = -12. Solve 0 = -6*m + m - y for m.
-4
Suppose -32*h = -27*h - 15. Suppose -h*l - l = -40. Solve 2*z = -3*z - l for z.
-2
Suppose q = 4, -3*p - 2*q + q = -16. Solve -18*o - p = -19*o for o.
4
Let v = -51 - -60. Solve 11*b - v = 14*b for b.
-3
Suppose -11*o = 2*o - 52. Solve -5 = -o*j + 7 for j.
3
Let p = 46 + -49. Let u be 14 + p + 3 + 2. Solve -t + u = 3*t for t.
4
Let k(t) = -t**3 + 9*t**2 + 10*t + 2. Let q be k(10). Suppose 0 = -3*a + 58 + q. Let y be (a/35)/1*7. Solve -y*n - n = -15 for n.
3
Suppose 113 = 4*j - 39. Let l = j - 34. Suppose -l*r + 11 + 1 = 0. Solve -r*x - 8 - 4 = 0 for x.
-4
Let t be (-323)/51 - (-1 + (-10)/(-6)). Let b = t + 12. Solve 3 = b*j - 7 for j.
2
Let k = -11 + 13. Suppose 4*l + k - 10 = 0. Let p be -2 - (-16)/(3 - 1). Solve p*a = l*a for a.
0
Let p(c) = -24*c + 410. Let h be p(16). Solve -56*d + h = -43*d for d.
2
Let k(r) = r**3 + 2*r**2 - 3*r - 5. Let b be (4/(-10))/((27/(-45))/(-3)). Let q be k(b). Solve 3*t - q - 8 = 0 for t.
3
Suppose -6 + 21 = 3*n. Suppose 4*h - h = 0. Solve 5*j = -h - n for j.
-1
Let t(w) be
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 17. Let k be q(13). Suppose -3*z = 2*p - k, -11 = -4*p - 4*z + 17. Calculate the lowest common multiple of 8 and p.
8
Let t(s) = 32*s**2 - s - 1. Suppose 0 = 4*f + 2*q + 170, -62 - 153 = 5*f + 3*q. Calculate the common denominator of t(-1) and (22/f)/(6/(-135)) - 2.
8
Let v = -111/43 + 10777/2709. Calculate the common denominator of v and -67/36.
252
Suppose 138 = m - 3*m - 5*q, 5*m + q = -345. Let r = m + 75. Calculate the lowest common multiple of 5 and r.
30
Let n = 21 + -22. Suppose 0*b + 3*b = 3*p + 21, 0 = -5*b - 3*p + 67. What is the smallest common multiple of b and (3*(-4)/12)/n?
11
Let m(j) = 3*j**2 - 27*j + 17. Let o(d) = -2*d**2 + 18*d - 11. Let b(k) = -5*m(k) - 8*o(k). Calculate the lowest common multiple of 7 and b(10).
91
Let v be 6/27 + 424/36. Suppose -k - 4*k + 6 = -4*d, 2*d + 5*k = v. What is the lowest common multiple of 9 and d?
9
Let q(w) = -3*w - 6. Let b be q(-7). Suppose 0*t + 5*t = b. Find the common denominator of t/(-33)*-1*-39 and -1/2.
22
Let h = -128089/77472 - 7/2421. Calculate the common denominator of h and -41/10.
160
Let a be 0 - (1 + 1 - 4). Suppose -7*t = -132 + 118. Suppose -a = -t*c + 6. Calculate the lowest common multiple of 12 and c.
12
Find the common denominator of 55/126 and -6*(-2)/(-42) + 1420/168.
126
Calculate the common denominator of (-88)/6*(-2511)/10416 and 23/44.
308
Let l = -3645 + 7201. Let w = l + -32066/9. What is the common denominator of w and -61/3?
9
Suppose 0 = -c - 3*p + 404 - 131, 5*c = -4*p + 1365. Let g = -315054/5 + 63277. Let b = c - g. Calculate the common denominator of b and -48.
5
Calculate the common denominator of 23/330 and (24/(-32))/((-2)/((-580)/(-225))).
330
Let h be ((-1)/(-4))/((-9)/(-5004)). Let g = -386/3 + h. Find the common denominator of g and -81/8.
24
Suppose 9*u = 8*u + 4. Suppose u*d - 2*d = -4. What is the common denominator of -48 and 162/(-15) - (d + -1)?
5
Let d = -3 + 7. What is the lowest common multiple of d and 7 + 1 - (42 + -42)?
8
Let w = 73/15 + -2311/330. Calculate the common denominator of w and -25/22.
22
Let g(r) = 5*r**2 + 8*r - r**3 - 2*r + 2*r**2 - 9*r**2 - 6. Suppose -6*x + x = 10, -5*x = w + 6. Calculate the lowest common multiple of w and g(-4).
4
Let b = 79 - -11. Calculate the lowest common multiple of 14 and 698/5 + 36/b.
140
Let b = 7109 - 42547/6. Calculate the common denominator of (-1)/(-1) - (-663)/(-104) and b.
24
Let x(b) = -b**3 + 8*b**2 - 6*b - 10. Let c be x(7). What is the common denominator of (6/(-360))/(2/(-724)) and 968/(-384) + (-1)/c?
240
Let m = 1 + 11. What is the smallest common multiple of 28/35 - 424/(-20) and m?
132
Suppose c = 3*c. Suppose -4 = 247*k - 251*k. Calculate the smallest common multiple of k and c*2/(-4) + 3.
3
Suppose 4*x - 2*s - 39 = -s, 3*x = -2*s + 32. Let n = 8 + -9. Let k(r) = -6*r + 1. What is the lowest common multiple of x and k(n)?
70
What is the common denominator of 1 + -16 + 7 - (-1209)/162 and -131/144?
432
Suppose 5*b = -n - 7 - 5, 3*b + n = -6. Suppose 2*o = -0*o - 20. Calculate the smallest common multiple of 1*(b/3 - o) and 9.
9
Let c be ((-34)/6)/(2 + 21/(-9)). Calculate the common denominator of (2 - (-5)/(-2)) + -38 and ((-4)/((-80)/c))/(3/22).
30
Suppose 0 = 29*v + 15*v - 264. Let a(g) = g**3 + g + 1. Let y be a(-1). Let r = v - y. What is the lowest common multiple of r and 11?
77
Let c(v) = v**2 + 5*v - 5. Let x be c(2). Calculate the smallest common multiple of 26 and 22 + -1 - (x + -6).
234
Find the common denominator of 51/10 and (0 - (-222)/(-620)) + (-63)/(-105).
310
Let j(t) = -7*t - 294. Calculate the lowest common multiple of j(-44) and 14.
14
Let m be 16/(-4) - (2 + -27). Suppose -25 = -t - 7. What is the smallest common multiple of 161/m + 2/6*1 and t?
72
Let r = -14317/1495 + -7/299. Let k = -3/508 - -3135/14732. Let c = -733/319 + k. Calculate the common denominator of r and c.
55
Let q = 5587 + -2615. Let k = q + -65487/22. What is the common denominator of k and -1/8?
88
Let k = -38 + 64. Let h = 43 - k. Calculate the common denominator of 131/(-24) + (-4)/(-12) and h.
8
Let s(k) = k**2 + 28*k + 190. Calculate the least common multiple of s(-10) and ((-20)/(-6))/((-2)/(-3)).
10
Let v(r) = 4*r - 6. Let s(k) = -1. Let h(d) = 5*s(d) - v(d). Let u be h(-2). What is the common denominator of (-3)/u + 535/(-60) and 99/8?
8
Let b be (-153)/((-61)/(-230) - 5/25). Let v = 18691/8 + b. What is the common denominator of 79/20 and v?
40
Suppose 8*m - 7*m = -2145. Find the common denominator of m/(-900) + (-2)/8 and 65/48.
240
Suppose 5*b - 1968 = 867. What is the lowest common multiple of b and 9?
567
Let s = -3696 - 448. Let w = 74489/18 + s. Find the common denominator of 21 + -18 - 47/14 and w.
126
Let y = 11611/1358 + -185/97. What is the common denominator of 24/7 and y?
14
Let z = -17750351/126 + 140877. Find the common denominator of 43/15 and z.
630
Let c be (-240083)/(-30) + (-3 - -4). Let o = 8003 - c. Find the common denominator of -1/10 and o.
30
Find the common denominator of 109/28 and (-2)/(-4)*(-1160)/609.
84
Let p(w) = -2*w + 8. Let m be p(-15). Suppose -v + 4*g = -m, -v - 17 = 4*g - 39. What is the common denominator of -23/6 and (-15)/(-4)*v/(-24)?
48
Suppose -m - 52 = -4*r + 3*m, r = -5*m + 7. Suppose 3*g = -r*g + 210. Calculate the least common multiple of 14 and g.
14
Suppose -15 = -n + 3. Suppose 4*a = -20 + 68. What is the lowest common multiple of a and n?
36
Let a be (-1)/2 + (-9)/(-2). Suppose -u + 5*s = 2*s - 9, -a*u + 19 = 5*s. What is the common denominator of -133/6 and (u - 7) + (-63)/(-22)?
66
Find the common denominator of 149/12*(-32)/48 and -137/126.
126
Suppose -p + 18 = 1. Suppose -g = -3 - p. Calculate the common denominator of -16/19 and 3/(((-112)/g)/4).
133
Suppose 16*z - 13*z = -6. Find the common denominator of -79/4 and -6 - z - 61/18.
36
Let z = 71021/37390 - -2/3739. Let p be (3/21)/((-26)/(-70514)). Let v = 2690/7 - p. What is the common denominator of z and v?
130
Suppose x = -0*x - b - 894, 1800 = -2*x + 2*b. Let v = 9890/11 + x. What is the common denominator of -51/7 and v?
77
Find the common denominator of -57/5 and -3*(-60)/32 - (-4 + -1).
40
Let t = 167 - 506/3. Let i be (-4)/(-3 - -2) + 472. Let p = -4316/9 + i. Calculate the common denominator of t and p.
9
Let u be (-1)/(-2)*8/(-1682). Let b be (7/(2030/(-96935)))/(1 + -320). Let r = b + u. Find the common denominator of -37/10 and r.
110
Suppose 60 + 10 = 2*t. Suppose -t = -3*i + 3*b - 95, i + 24 = 5*b. Let w = i - -29. What is the smallest common multiple of w and 5?
10
Find the common denominator of 41*(-296)/1920 + 6/45 and 41/16.
16
Suppose p + 44 = 4*f, 3*f + 10*p - 24 = 13*p. What is the lowest common multiple of 52 and f?
156
Let q be (-9)/5 - 1/5. Let j(p) = 144*p**2 + 2*p + 2. Let l be j(q). Find the common denominator of -25/12 and l/210*(-6)/(-4).
60
Suppose 3 + 15 = 9*u. What is the least common multiple of 16/(-24)*((-25)/u - 1) and 2?
18
Let a(q) = -3*q**2 + 3*q - 1. Let f be a(2). Let h be f + 4 - 4/1. What is the common denominator of -53/4 and (-2)/h - 1458/(-140)?
20
Suppose -4 = -3*h + h. Let n(t) = -2*t + 2 + 0*t + 2*t**h - 8*t. Find the common denominator of n(7) and 99/8.
8
Let v(u) = 78*u - 55. What is the lowest common multiple of v(1) and 1?
23
Let p be (-4)/(-6) + 50/15. Let r(w) = 408*w + 6. Let g be r(p). Find the common denominator of -95/8 and (-7709)/g - 4/18.
56
Suppose -k = -3*k - 10. What is the least common multiple of (-2*22)/(10/k) and 2?
22
Find the common denominator of ((-1)/(-54))/((-7)/287) and (((-105)/18)/(-35))/(1/(-303)).
54
Let z = 106427/8445 + -4/1689. Let f = 235/3 + -273/4. Calculate the common denominator of f and z.
60
Let u(b) = -13*b + 1. Let o be u(-1). Suppose 4*j = -2 + o. Calculate the common denominator of 97/16 and (-81)/(-12)*j/45.
80
Let g = -390 + 432. Calculate the least common multiple of g and 35.
210
Let z be -1 + 1 - (-4)/(-1742). Let i = -25247/5226 + z. Find the common denominator of i and (10 + 2245/(-225))*15/6*411.
6
What is the common denominator of -2 + 1/((-48)/44 + 4) and -47/16?
32
What is the lowest common multiple of 1097 and ((-49)/28*-4)/1?
7679
Let s be 0/((-2 - -4)*1). Suppose 4*p + 0*p - 12 = s. Suppose -2*v + 24 = -4*j, -10 = v + p*j - 2. What is the lowest common multi
|
{
"pile_set_name": "DM Mathematics"
}
|
b
Let n = 3 - 2.9. Let u = 0.2 + -0.19. Let i = 2103.3 + -2103. Which is the nearest to n? (a) -3 (b) i (c) u
c
Let y = -1858 + 1417. Let u = -440.9 - y. Let s = 3/5 - 2/5. Which is the closest to -7? (a) -1/4 (b) u (c) s
a
Let g be (-7)/(-5) + (-1610)/(-350) + -3. Suppose -4*b - 101 + 257 = 0. Let n be g + b/(-15) + (-2)/5. What is the closest to 2 in 0.5, n, 3?
3
Let u = 6590 - 6581. Which is the closest to -1? (a) 0.2 (b) 0.3 (c) u (d) -479
a
Let m = -1.591 + -95.609. Let y = 91.7 + 5.3. Let x = y + m. Which is the closest to x? (a) 2 (b) -3 (c) -0.07
c
Let a = -1.0463 + 0.6463. What is the closest to -3 in -2/3, a, 3/7, 3/8?
-2/3
Let l = 18661/5 + -3732. Which is the closest to 1/5? (a) -80 (b) l (c) -5
b
Let n = -694 - -689. Let r = 240 - 239.6. Which is the closest to n? (a) -1 (b) r (c) 2/13
a
Let u be ((-2)/4 + 2)*-2. Let k = -217 - -157. Let q be k/36*3 - (-6 + -1). What is the nearest to -0.1 in q, u, 3?
q
Let f(x) = -x**3 + 49*x**2 + 591*x + 3. Let q be f(-10). Which is the nearest to q? (a) -0.4 (b) 2/17 (c) 1/24
a
Let l = 830081/11 - 75375. Let h = 87 - l. What is the nearest to 2/27 in -0.2, h, 0.1?
h
Let p = -128.9 - -132.9. Let y = 0.66 + -0.26. Which is the closest to -0.5? (a) y (b) p (c) 2
a
Let n = 2.96 - -0.04. Let k = 25.9 + 10.1. Let l = k - 31. What is the nearest to 2/5 in n, l, -0.3?
-0.3
Let p = -13749 + 13749.1. What is the nearest to p in 33, 3, 0.05, 1/2?
0.05
Let w be (-11)/(-28) + (-111)/(-259)*2/(-6). What is the nearest to 0.3 in -4/5, 5/3, w?
w
Let a = 17.77 + -18. Let o = 0.33 + a. What is the nearest to o in 0, 7, -0.1?
0
Let p = -37.52 + 38.02. Which is the nearest to -1/3? (a) 1 (b) -0.3 (c) 6/11 (d) p
b
Let t = 53/35 + -12/7. Let z(q) = -q**2 + q - 3. Let w be z(0). Let v be (-288)/(-351) - (-2)/w. What is the nearest to -5 in v, t, 0.2?
t
Let i = -11/12 - -5/4. Let d = -475/29 - -1929/116. What is the closest to i in 6, d, 0.1, -2?
d
Let c = -3435.9 + 3436. Let v = 3.57 + -0.57. What is the closest to v in 0.26, c, -5?
0.26
Let t = -0.2792 - -0.0792. Which is the closest to -5? (a) t (b) 0.4 (c) -2/7 (d) -18
c
Let w = -0.94 - 11.06. Let r = w - -8. Which is the nearest to 0? (a) 0.2 (b) r (c) 0.05
c
Let u = -0.98 + 1.18. Let x = -312 - -2188/7. Let n = 1.168 - 1.068. Which is the nearest to u? (a) -1/3 (b) n (c) x
b
Let l = -9084.3 + 9073. Which is the nearest to -3/2? (a) 4 (b) l (c) -5
c
Let b be (-4*9/9)/7. What is the closest to 3/4 in -0.5, -1, 4/5, b?
4/5
Let p(c) = 11*c**2 - 222*c + 740. Let i be p(16). What is the nearest to 1 in 0.05, -3/5, 4/7, i?
4/7
Let k = 0.2 + -0.5. Let x be (0 + 8/4)/((-24)/60). What is the closest to -2/3 in 4, x, k?
k
Let h = -1.318 - -1.418. Let r be 6/8 - 3/12. Let m = -177 - -187. What is the nearest to -1 in m, h, r?
h
Let t = -10374 - -3060327/295. What is the closest to 1 in t, 4, -5, 0.1?
0.1
Let q = 4500 - 4501. Let v be (12/8)/((-3)/(-4)). Which is the nearest to 0.1? (a) -2 (b) v (c) q
c
Let k = 24931 - 24927. What is the closest to -0.1 in k, -22, -8, 2?
2
Let w = 0 - 0.2. Let s = 783 - 782.2. Let l = s - w. Which is the nearest to 3? (a) l (b) 0.2 (c) 0.4
a
Let h = -8359 - -8356. What is the closest to 3 in 1, 5/12, h, -0.4?
1
Let d = -197/22 - -1685/198. Which is the closest to -1? (a) 3 (b) d (c) -9/10
c
Let p = 4.015 + -3.015. Let n = 7 - 7.2. Let h = -0.4 - n. What is the nearest to h in p, 1/9, -0.5?
-0.5
Let x = -843 + 844. Let h = 11/8 - 61/56. What is the nearest to x in 0.2, 2, 2/17, h?
h
Let v be 3*(2 + (4 - 7 - -2)). Let t = -0.34 - -0.2. Let d = t + 0.24. Which is the nearest to v? (a) 5 (b) d (c) -5
a
Let r = -291 - -285. Let g = 6 + r. Let h be 4/(-6)*30/4. Which is the closest to 0? (a) h (b) g (c) -1/10
b
Let s(c) = -c**2 - 8*c + 2. Let x be s(-8). Let v be (-9)/(-21)*x/2. Let q = 400 - 1998/5. What is the closest to q in v, 2/21, 5?
v
Let x = -0.371164 + 602.384164. Let v = 602 - x. What is the nearest to -1 in -4, v, -1?
-1
Let a be (2/(-19))/(39 + (-1624)/42). Let g = -2 - -1. What is the closest to g in -2, a, -4?
a
Let k = -5139/3671 + -2/18355. What is the closest to 0.07 in k, 0.2, -2, 1/3?
0.2
Let y = 149 + -108. Let x = y - -7. Let k = x + -48. Which is the nearest to -3/4? (a) 1/5 (b) 3 (c) k
c
Let g = -2770 + 2772. Which is the nearest to 18/7? (a) g (b) 13 (c) 0
a
Let d be (-7498)/978 + (-8)/(-3). What is the closest to -2/329 in 1/4, d, -1?
1/4
Suppose -10 = 5*l - 0*l, 3*x - l = -10. What is the nearest to x in 4, -3, 5, -1/5?
-3
Let l be 22/231 - ((-584)/(-252) - 2). Which is the closest to 2? (a) 0.12 (b) 3 (c) l (d) 4
b
Let p be (4/42)/((75/250)/((-14)/(-20))). What is the closest to -2 in -3, p, 12, 0.5?
-3
Let j = 14285 - 14294.107. Let s = j - -0.107. What is the nearest to s in 3, -4, -5?
-5
Let g be 1/36 + (-2)/8. Let x = 67.8 - 68.8. Which is the nearest to -1? (a) -4 (b) x (c) g
b
Let m = -8.291 + 7.991. What is the nearest to -1 in m, -12, 0.1, -0.2?
m
Let d = -334 + -60. Let w = d - -394. Which is the closest to w? (a) 3 (b) -62 (c) -5
a
Let u = 738 - 1447/2. Let o = u - 15. Let i = -0.07 - -1.07. What is the closest to -7 in i, 3, o?
o
Suppose 10*v = 20*v - 5980. Let c be (-148)/962 - (-248)/v. What is the closest to 0 in -5, c, 2?
c
Let o be 7 + 12/(-4) - (-11 - -20). Which is the nearest to 1? (a) 0.5 (b) 3 (c) o (d) 1/5
a
Let b = -38 - -28. Let x = 8.6 + b. Let s = x + -1.6. What is the closest to 0 in s, -2, 5?
-2
Let q = 90859/121156 + 2/30289. Which is the closest to -3.6? (a) -8 (b) -0.4 (c) q (d) -3
d
Let n be (-6)/2 + 46716/340. Let w = 139 + -4. Let k = n - w. What is the nearest to 0.1 in 5, -0.2, k?
-0.2
Suppose -2*r - 4 - 16 = 0. Let g be (2/8)/(r - -9). Let i = -157 - -156.7. Which is the closest to g? (a) i (b) 3/7 (c) 3
a
Let z = -111 + 165. Let v be 2 - z/(-24)*-1. Let d = 0.08 + 0.32. What is the closest to v in -10, d, -4?
d
Let z = -116.14 + 116.21. Let q = -1.1 + 1. What is the closest to q in z, -0.4, -2/21?
-2/21
Suppose -10*s = -8*s - 44. Let w = s + -30. Which is the nearest to -1? (a) -4 (b) w (c) 5
a
Let d be (((-124)/(-12))/31)/(11/6). Let p = -8 + 6. What is the nearest to d in p, 3, 7?
p
Let d = 6371/36 + -177. Let z = -38455 - -38455. What is the nearest to 1/4 in 1, d, z?
z
Let y = -44852 - -45642. Which is the closest to -0.1? (a) y (b) 2 (c) -2
c
Let i = 0.59709 - 1.31709. Let a = -2/65 + 136/195. What is the nearest to 1 in 0.4, a, i?
a
Let x be (264/(-231))/(-2)*14/(-60). Which is the closest to -1/4? (a) 0.2 (b) -0.05 (c) -27 (d) x
d
Suppose 714*h - 719*h = 5. Which is the nearest to h? (a) -23 (b) -5/9 (c) -3
b
Let q = 3626/5 + -726. Suppose y = -f + 50, 0 = -3*y - 17 + 5. Let n = f - 274/5. Which is the closest to n? (a) 1/7 (b) 0.2 (c) q
c
Let x be -3 - 187 - (2/7)/((-4)/(-56)). Which is the closest to 1? (a) 1/4 (b) 0.3 (c) -1/7 (d) x
b
Let d = 277389/11 - 25217. Which is the closest to 0.022? (a) -2/7 (b) -8 (c) d
c
Let k be (((-312)/40 + 8)*-16)/((-4)/30). Which is the nearest to -4/5? (a) k (b) -0.2 (c) 1/3
b
Let z = 40705/156 - 759/52. Let s = -246 + z. Let w = 0.9 - 1.3. Which is the closest to s? (a) 4/7 (b) w (c) -23
a
Let b be 5/(-20)*2*10. Let y = -1670 - -1669.8. What is the closest to 2/5 in b, 5, y?
y
Let x = -535.77212 + -0.02788. Let i = 536 + x. Let r = 2.1 - 2. Which is the closest to -3? (a) i (b) r (c) -1
c
Let y be ((-152)/(-16) + -17)*(2 - 0). Which is the nearest to y? (a) 8 (b) -3/5 (c) -4
c
Let v = -0.1 + 0.4. Let x = 16964.5 + -16964.6. Which is the nearest to x? (a) v (b) 5 (c) -0.05
c
Let m be 11/22 - (-55)/(-2). Let b be m/(-12) + (-3)/(-4). Suppose -7*a + b = -10*a. What is the nearest to 2 in a, -0.4, -3?
-0.4
Let n = -5 - -4.6. Suppose -17 = -u + 4*b, -66*b = u - 65*b + 8. What is the nearest to 0.05 in n, -0.9, u?
n
Let m = -25 - -24. Let z be (-30)/18 - m/3. Let i = -510 + 511. What is the closest to 0 in z, i, 1/2?
1/2
Let j = -1.2022 - -0.6022. What is the closest to j in -3/14, -0.4, -2/9, -2?
-0.4
Let z = -33758 + 236304/7. Let d be 0 + (-2)/2*-1. What is the nearest to 1 in d, z, 0.66?
d
Let s(k) = -k**2 + 215*k - 3551. Let w be s(18). Which is the nearest to 42? (a) 1/7 (b) 2/47 (c) w
a
Let o = -7846.91 + 7847.
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{
"pile_set_name": "DM Mathematics"
}
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*k - 2/5*k**3 - 246/5*k**2 = 0. What is k?
-123, -1, 1
Let r(h) be the second derivative of 9/7*h**2 - 2/7*h**3 + 34*h + 1/42*h**4 + 0. Factor r(f).
2*(f - 3)**2/7
Let u(z) be the second derivative of -z**5/25 - 19*z**4/30 - 18*z**3/5 - 9*z**2 + z - 111. Suppose u(k) = 0. What is k?
-5, -3, -3/2
Let j(f) = -101*f**2 - 292*f - 61. Let g(z) = -3*z + 1. Let i(u) = -6*g(u) - j(u). Let p(h) = 34*h**2 + 104*h + 18. Let t(c) = -6*i(c) + 17*p(c). Factor t(m).
-4*(m + 3)*(7*m + 2)
Let d(t) = 78*t - 29. Let x be d(3). Find j, given that -156*j + 3*j**2 + x - 382 + 1336 + 869 = 0.
26
Let z(h) = h**3 + 79*h**2 + 152*h + 77. Let r(q) = -6*q**3 - 474*q**2 - 911*q - 462. Let p(t) = 6*r(t) + 38*z(t). Determine c, given that p(c) = 0.
-77, -1
Let o(r) be the first derivative of -4/9*r**3 - 67 - 1/36*r**6 + 1/4*r**2 + 0*r**5 + 1/4*r**4 + 0*r. Factor o(k).
-k*(k - 1)**3*(k + 3)/6
Suppose -170*z**5 + 8000000 - 118801*z**3 - 7854833*z + 505*z**5 + 7760600*z**2 - 163*z**5 + 598*z**4 + 23734833*z - 173*z**5 = 0. What is z?
-1, 200
Let s(n) be the first derivative of n**7/280 + 3*n**6/40 + 3*n**5/5 + 5*n**4/2 - n**3/3 + 45*n + 52. Let l(f) be the third derivative of s(f). Factor l(m).
3*(m + 2)**2*(m + 5)
Let g = 149722/5 + -29944. Factor g*z**2 - 2/5*z - 4/5.
2*(z - 2)*(z + 1)/5
Let w be -5 + (15132/(-338))/(-6). Factor w*n**2 + 12/13*n**4 + 2/13*n**5 + 18/13*n + 28/13*n**3 + 4/13.
2*(n + 1)**4*(n + 2)/13
Let l = 237 + -164. Factor 70 - 714*a**2 - l*a + 28*a + 719*a**2.
5*(a - 7)*(a - 2)
Let w(v) be the second derivative of v**4/4 - 100*v**3 + 15000*v**2 - 19*v - 1. Solve w(m) = 0.
100
Factor -469*k**3 - 12*k**2 + 7*k**2 - 51*k**3 + 0*k**2 + 0*k**2.
-5*k**2*(104*k + 1)
Let m(p) be the first derivative of 13*p**3/3 + 30*p**2 - 25*p - 2873. Suppose m(d) = 0. Calculate d.
-5, 5/13
Let a(n) be the second derivative of -1/6*n**4 - 34*n - 2*n**3 + 2 + 16*n**2. Factor a(c).
-2*(c - 2)*(c + 8)
Factor 15*b**4 + 260*b**2 + 84*b**3 + 8366 - 320*b**3 - 164*b**3 - 8366.
5*b**2*(b - 26)*(3*b - 2)
Let t(v) = 4*v**5 + 12*v**4 - 6*v**3 - 6*v**2 - 6. Let w(h) = 3*h**5 + 13*h**4 - 5*h**3 - 5*h**2 - 5. Let j(x) = -5*t(x) + 6*w(x). Let j(q) = 0. What is q?
0, 9
Let z = 844 - 841. What is a in -123 + 16*a**2 + 3*a + 24*a**2 - 14*a**2 - z*a**3 + 97*a**2 = 0?
-1, 1, 41
Find w, given that -54 + 3328907*w**2 + 51*w + 0*w**4 - 3*w**4 - 3328850*w**2 - 51*w**3 = 0.
-18, -1, 1
Let p(n) be the second derivative of -n**5/70 - 10*n**4/21 - 53*n**3/21 - 34*n**2/7 - 174*n - 2. What is c in p(c) = 0?
-17, -2, -1
Let a(h) be the third derivative of h**5/390 + h**4/78 - 323*h**3/39 - 1479*h**2. Factor a(g).
2*(g - 17)*(g + 19)/13
Let c = 12 - 7. Factor 8*l + 2*l**3 - l - c*l - 4*l**2.
2*l*(l - 1)**2
Let f(x) be the second derivative of 5*x**4/4 - 203*x**3/9 + 3*x**2/2 - 20*x + 6. Let f(u) = 0. Calculate u.
1/45, 9
Let n(h) be the third derivative of 17 + 56/3*h**4 - 43/5*h**5 - 2/7*h**7 + 1/84*h**8 + 67/30*h**6 + 0*h + 10*h**2 - 24*h**3. Determine w so that n(w) = 0.
1, 2, 9
Factor 26 + 144*r + 11/2*r**2.
(r + 26)*(11*r + 2)/2
Find d such that 8963378/5 + 2/5*d**2 - 8468/5*d = 0.
2117
Let q(l) be the first derivative of 4*l**5/35 + 2*l**4/7 - 76*l**3/7 - 340*l**2/7 - 64*l + 26. Let q(x) = 0. Calculate x.
-7, -2, -1, 8
Let g(k) be the third derivative of -3*k + 27/80*k**6 - 55*k**2 - 1/140*k**7 - 243/40*k**5 + 0 + 729/16*k**4 + 0*k**3. Factor g(d).
-3*d*(d - 9)**3/2
Suppose -172*k**4 + 0 - 8/3*k**3 + 688*k**2 + 0*k + 2/3*k**5 = 0. Calculate k.
-2, 0, 2, 258
Factor 87/8*d**2 - 3/8*d - 87/8 + 3/8*d**3.
3*(d - 1)*(d + 1)*(d + 29)/8
Let w(l) = -4*l - 13. Let n be w(-11). Find r, given that -16*r + 7*r**2 + 16 + 28*r**2 - n*r**2 = 0.
2
Let j(z) be the first derivative of -z**5/5 + 13*z**4/4 + 52*z**3/3 - 26*z**2 - 192*z - 352. Determine b, given that j(b) = 0.
-3, -2, 2, 16
Let o = -9199/150 + 184/3. Let m(t) be the third derivative of 3*t**2 + 0*t + 0*t**3 + 0*t**4 - o*t**5 + 0. Find d such that m(d) = 0.
0
Let c(t) be the second derivative of -t**4/90 + 19*t**3/15 + 58*t**2/15 - t - 17. Find h such that c(h) = 0.
-1, 58
Factor 128000 + 800*w + 5/4*w**2.
5*(w + 320)**2/4
Let i(x) be the first derivative of -3*x**4/4 + 148*x**3 - 15975*x**2/2 - 33750*x - 2787. Let i(p) = 0. What is p?
-2, 75
Let a = 961811 + -961808. What is f in 2/11*f**4 + 10/11*f**a + 6/11*f**2 - 10/11*f - 8/11 = 0?
-4, -1, 1
Let u(v) = 48*v**4 + 26*v**3 - 46*v**2 - 118*v - 80. Let n(f) = 10*f**4 + 5*f**3 - 9*f**2 - 23*f - 16. Let s(m) = -14*n(m) + 3*u(m). Factor s(p).
4*(p - 2)*(p + 1)**2*(p + 2)
Find p, given that -14*p + 84*p**2 - 39*p - 2*p**3 - p + 12*p**3 = 0.
-9, 0, 3/5
Let w(s) be the second derivative of -8*s**7/21 - 46*s**6/15 - 481*s**5/80 + 23*s**4/8 - 3*s**3/8 + 190*s - 1. Solve w(z) = 0 for z.
-3, 0, 1/8
Suppose -g + o = -3 - 8, 0 = 3*g - 5*o - 35. Suppose 0 = -5*y + g - 0. Solve -p**2 - 3*p**5 + p + 4*p**5 + p**2 - y*p**3 = 0 for p.
-1, 0, 1
Let j(c) be the second derivative of -c**4/12 + c**2/2 - 92*c. Let m(p) = -4*p**2 + 160*p - 3198. Let t(s) = -2*j(s) + m(s). Find f, given that t(f) = 0.
40
Let j(q) = -2*q**3 - 5*q**2 + q + 4. Let b be j(0). Let h = -68 + 68. Factor -3/2*w**5 + 0*w**3 + 0*w**b + 0*w**2 + 0*w + h.
-3*w**5/2
Let i(n) = n**2 - 23. Let u be i(5). Suppose -14*s**2 + 22*s - 10 + 20*s**u - 8*s**2 - 10 = 0. Calculate s.
1, 10
Let d be -16 + 7/(7/6) - 294/(-24). Factor 1 - d*v**2 - 4*v.
-(v + 2)*(9*v - 2)/4
Let i = -117 - -119. Find h, given that 118*h**2 - 4*h**4 - 32*h**3 + 49*h**2 - 40*h - 210*h**i + 119*h**2 = 0.
-10, 0, 1
Let f(c) = -59*c + 75. Let q be f(-9). Suppose 63*j + 481*j + 28*j**2 + q*j + 190*j - 200*j - 328 = 0. What is j?
-41, 2/7
Find h such that 60/13*h**3 - 574/13*h + 294/13 + 244/13*h**2 + 2/13*h**5 - 2*h**4 = 0.
-3, 1, 7
Determine u so that -14/5*u**2 + 6/5*u**4 + 0*u + 8/5 + 2/5*u**3 - 2/5*u**5 = 0.
-1, 1, 2
Suppose -17*n + 156 = 9*n. Suppose 2*c = -3*v - 5, -2*c + n*v = 4*v - 10. Let 16/5 + 4*y**c - 20*y**3 + 64/5*y = 0. Calculate y.
-2/5, 1
Let r(u) = -35*u**2 + 89*u - 44. Let v(p) = 351*p**2 - 891*p + 441. Let k(d) = 21*r(d) + 2*v(d). Factor k(a).
-3*(a - 2)*(11*a - 7)
Let f(l) be the second derivative of 11*l**6/30 + 82*l**5/15 + 226*l**4/9 + 368*l**3/9 - 8*l**2 - 1269*l. Solve f(z) = 0.
-6, -2, 2/33
Let g(r) = -1405*r - 2825. Let c(u) = u**2 + 703*u + 1411. Let o(l) = -5*c(l) - 3*g(l). Find d, given that o(d) = 0.
-2, 142
Let y be (21/(-3)*1/(-7))/(12/3). Factor 11/4*s**3 - y*s**4 + 0 - 8*s**2 + 7*s.
-s*(s - 7)*(s - 2)**2/4
Let i(r) be the first derivative of 17 + 13/2*r**2 - 14/15*r**3 - 20*r + 1/20*r**4. Factor i(l).
(l - 5)**2*(l - 4)/5
Let i(x) = -2*x**5 + 2*x**4 - 4*x**3 - 8*x**2 + 16. Let p(q) = 2*q**5 - q**4 + 4*q**3 + 7*q**2 - 14. Let g(w) = -7*i(w) - 8*p(w). Factor g(n).
-2*n**3*(n + 1)*(n + 2)
Let t(o) be the first derivative of -o**7/21 - 3*o**6/5 - 3*o**5/2 - 7*o**4/6 + 54*o + 3. Let l(f) be the first derivative of t(f). Factor l(g).
-2*g**2*(g + 1)**2*(g + 7)
Let t = 282682 + -565353/2. Determine n, given that 1/4*n**2 + 9/4*n - t = 0.
-11, 2
Suppose 182*z - 330 = 167*z. Suppose -2*k = z*k. Factor 0*g + 2/7*g**2 + 4/7*g**3 + k + 2/7*g**4.
2*g**2*(g + 1)**2/7
Determine h, given that -248*h**4 - 12249*h**2 + 9913*h**2 - 2048*h - 512 - 1227*h**3 + 91*h**3 - 20*h**5 = 0.
-4, -2, -2/5
Let m(x) be the second derivative of x**6/10 - 3*x**5/10 - 4*x**4 + x**3 + 45*x**2/2 + 3*x - 4. Suppose m(b) = 0. Calculate b.
-3, -1, 1, 5
Suppose 4*a + 4*s + 372 = 0, 3*a - 2*s + 44 + 220 = 0. Let t be 590/a + 1 + 6. Factor t*r**2 + 0 + 8/9*r - 2/9*r**3 - 1/9*r**4.
-r*(r - 2)*(r + 2)**2/9
Let p = 6780 - 4346. Let k = p + -2431. Factor -3/4*m**2 + 0 + 3/4*m**k - 3/2*m.
3*m*(m - 2)*(m + 1)/4
Let b(m) be the second derivative of m**8/2520 + m**7/1260 - m**6/135 - m**5/45 - m**3 + m**2 - 34*m. Let o(t) be the second derivative of b(t). Factor o(c).
2*c*(c - 2)*(c + 1)*(c + 2)/3
Let y(a) = 131*a**3 + 266*a**2 + 4*a - 6. Let g be y(-2). Factor -3/4*q**g - 3/2*q**4 + 0 + 3/8*q - 21/8*q**3.
-3*q*(q + 1)**2*(4*q - 1)/8
Solve 3*v - 1/4*v**3 + 0 - 1/4*v**2 = 0.
-4, 0, 3
Let k = 549538/13 - 42272. Determine g, given that -22/13*g + 64/13*g**2 + 16/13*g**4 + k*g**5 - 60/13*g**3 + 0 = 0.
-11, 0, 1
Suppose 1600863 + 533315 - 2344*m + 2*m**2 - 1788*m = 0. What is m?
1033
Factor 8 + 4*g - 2/9*g**2 - 1/9*g*
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{
"pile_set_name": "DM Mathematics"
}
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+ q - 2*q + (1 - 2 + 2)*(-2*q + 0*q + 0*q) + 17*q + 13 - 13)*(5*q - 5*q + q).
13*q**2
Expand (7*o + 4*o**2 + 10*o - 7*o**2)*(-5*o**2 - 2*o**2 + 4*o**2).
9*o**4 - 51*o**3
Expand (5*z + 11*z - 2*z + 57*z**3 - 210*z**3)*(-3*z**2 + 4*z**2 + 0*z**2).
-153*z**5 + 14*z**3
Expand -3*x**3 + 4*x**3 - 2*x**3 + (2*x**2 - 3*x**2 + 4*x**2)*(253*x - 171 + 171).
758*x**3
Expand 94*d**5 + 10*d**2 - d**2 - 95*d**5 + (2*d + 3*d**3 - 2*d)*(2*d**2 + 0*d**2 - d**2).
2*d**5 + 9*d**2
Expand (6*q**3 + 5*q**3 + 15*q**3)*(-20 + 20 + 17*q).
442*q**4
Expand (-743*w**2 + 1891*w**2 - 780*w**2)*(-w**2 - 2*w**2 + 2*w**2).
-368*w**4
Expand (-6*l + 11*l + 14*l)*(-l - 3*l - 2*l)*(-3 + 4 - 2 + (-1 + 5 - 2)*(-3 + 1 + 3) + 5 - 1 - 2).
-342*l**2
Expand (q - 4*q - 6*q)*(12 + 10 + 17 - 7).
-288*q
Expand (-3*i + 3*i + i**4)*(-8 + 25 + 4 + (0 - 5 + 0)*(3 + 4 - 4)).
6*i**4
Expand (3*k**3 - 2*k**3 + 0*k**3)*(3*k + 3*k - 5*k + (-6 - 4 - 1)*(-1 + 1 - 5*k)).
56*k**4
Expand (2 + 6*r**2 - 2*r**2 - r**2)*(0*r**2 + 0*r**2 + 5*r**2)*(1 - 3 + 4).
30*r**4 + 20*r**2
Expand (-w**2 + 4*w**2 + w**2)*(52 + 46 - 24).
296*w**2
Expand (n - 3*n + n)*(164*n - 164*n + 21*n**4) + (4*n - 2*n - n)*(-2*n**4 + n**4 - 2*n**4).
-24*n**5
Expand 7*t + 2*t - 6*t + (-2*t + t + 0*t)*(3 - 4 - 1) + (-2*t + 4*t - 3*t)*(-2 + 3 + 1) - 107*t + 7*t + 13*t + 0*t + t + 0*t.
-83*t
Expand (9*l**2 + 9*l**2 - 6*l**2)*(-6 + 30 - l - 14).
-12*l**3 + 120*l**2
Expand (-4*k**5 - 3*k**4 + 3*k**4)*(-1 + 2 + 1) + (42*k**3 + 3*k**3 - 2*k**2 + k**3)*(3*k - 5*k + 0*k)*(0 + 0 - k).
84*k**5 - 4*k**4
Expand -7*v**3 + 578*v - 578*v + (-4*v + 7*v + v)*(-2*v**2 + 3*v**2 - 3*v**2) - v**3 + 0*v**3 + 0*v**3.
-16*v**3
Expand g - 5*g + 5*g + (0 + 1 - 2 + (1 - 1 - 2)*(3 - 1 - 4) + 1 + 4 - 4)*(-2 + 2 - 3*g).
-11*g
Expand (1 - 4*m + 0*m + 3*m)*(-4 - 2*m + 4)*(2*m + 0 + 0)*(803 + 23*m - 803).
92*m**4 - 92*m**3
Expand n - 54*n**3 + 29*n**3 + 4*n + (2*n**2 + 0*n**2 - n**2)*(-n - n + n).
-26*n**3 + 5*n
Expand (4 - 4 - 4*c**2)*(-206*c - 172*c - 41*c).
1676*c**3
Expand (-135*k + 395*k + 108*k + 256*k)*(1 + 5 - 3) + k - 5*k + 3*k.
1871*k
Expand (-11 + 31 - 7)*(4 - 2 - 1)*(2*w**3 - 2*w + 2*w) + 11*w**3 + 7*w**3 - 3*w**3.
41*w**3
Expand (2 + 1 - 1)*(-r + 4*r - 4*r)*(-6 - 3 + 2).
14*r
Expand (157*m - 2 - 157*m - 23*m**2)*(5 + 3*m - 5).
-69*m**3 - 6*m
Expand (-4*g**3 + 2*g**3 + g**3)*(21*g**2 - 126*g**2 - 4*g**2) - 2*g**5 + 4*g**5 + 0*g**5 + 2*g**5 + 0*g**5 - 5*g**5.
108*g**5
Expand (3 + b - 3)*(5*b + 0*b - 3*b) + (4 + 2 - 5)*(3*b**2 - b**2 - 3*b**2) + (0*b - b + 4*b)*(-68 + 68 - 49*b).
-146*b**2
Expand (-2*d**2 + 5*d**2 + 0*d**2)*((1 + 2 - 5)*(4 - d - 4) + (2 - 2 + 2)*(-d + 3*d - d)).
12*d**3
Expand (-2 - 1 + 6)*(8*k + 0 + 5 - 3)*(6*k**2 - k**2 + 3*k**2) - 2*k**3 + 0*k**2 + 0*k**2.
190*k**3 + 48*k**2
Expand -k**3 + 2*k**3 + k**3 + (3251 - 34*k**2 - 3251)*(k - 3 + 3).
-32*k**3
Expand (4*b**3 + 6*b - 6*b)*(-3 - b + 3) - 3*b**4 + 3*b**4 - 3*b**4 + (-15*b - 4*b + 13*b)*(2*b**3 - 4 + 4).
-19*b**4
Expand (2 - 4*x**2 - 2)*(-x**3 + 2*x - 2*x) + 71*x**4 + x**5 - 80*x**4 + x**5.
6*x**5 - 9*x**4
Expand (-5 - 2 - 2)*(0 - 1 + 0)*(0*z + 2*z - z).
9*z
Expand (-3 + 3 + 2*l**2)*(39*l**2 + 48*l**2 - 32*l**2 + (-1 + l + 1)*(l + 3*l - 5*l)).
108*l**4
Expand -k**2 - k**2 - 28*k - 231*k**3 + 232*k**3 - 2 + (0*k**2 - k**2 + 2*k**2)*(-3*k - k + 8*k).
5*k**3 - 2*k**2 - 28*k - 2
Expand (421*n + 478*n + 508*n)*(-2*n + 1 - 1).
-2814*n**2
Expand (5*s - s - s)*(-39 - 18 + 9)*(-2 + 3 - 3).
288*s
Expand (0 - 92*m + 1 + 97*m)*(-4 + 3 + 5)*(0 + 3*m + 0).
60*m**2 + 12*m
Expand (n - n - n + (1 + 1 + 0)*(-2*n - 2*n + 5*n) + 60*n + 5*n - 14*n)*(0*n**4 + 2*n**4 - 4*n**4) + n + 0*n + 5*n**5 - 7*n**5.
-106*n**5 + n
Expand (-i**2 - 2*i**2 - 1 + 4*i**2)*(3*i - 10*i + 4*i).
-3*i**3 + 3*i
Expand (3*s + s - 8*s)*(-12 - 18 - 20 - 16).
264*s
Expand (3*c - 5*c + 9*c)*(0 - 2*c**2 + 0) + 2 + c**3 - 2 + (4 - 1 - 2)*(c**3 - c**3 - 4*c**3).
-17*c**3
Expand 28*b + 83*b + 39*b + (1 + 0 - 2)*(3*b + 0*b - 2*b) + 0 - 2*b + 0.
147*b
Expand (-46 + 15 + 98)*(-2*d**3 + d**3 + 0*d**3) + (2*d + 3*d - 4*d + (1 - 5 + 2)*(0*d + 2*d - 3*d))*(0*d + 6*d**2 + 0*d).
-49*d**3
Expand 0*f - 9*f + 7*f - 3*f**2 - 1 + (2 + 2*f - 2)*(-3*f + 4*f - 2*f) + 4 - f**2 - 4 + 2 - 2 - 2*f**2.
-8*f**2 - 2*f - 1
Expand -u + 0*u + 0*u - 5*u**2 - 4*u**2 - 7*u**2 + 0*u**2 - u**2 + 6*u**2 - 2*u**2 + (1 + 1 - 4)*(-3*u + 3*u - u**2) + 2*u - 2*u - u**2.
-12*u**2 - u
Expand 3*m**5 + 6*m**5 + m**5 + (3*m**2 - 3*m**2 - m**4)*(4*m - 3*m + 6*m).
3*m**5
Expand (3*x**3 - 4*x**3 + 0*x**3)*(9*x + 19*x + 16*x)*(0*x + 3*x + 9*x).
-528*x**5
Expand -i**3 - 3*i**3 + 2*i**3 + 0*i**3 - 2*i**3 - i**3 + (-2*i - 2*i + 3*i)*(0*i - i**2 + 0*i) + i**3 - i**3 - 2*i**3 + (3 + 2 - 4)*(-9*i**3 + 33*i - 33*i).
-15*i**3
Expand (1 + 2 + 0)*(101*d + 116*d + 71*d).
864*d
Expand (-4*y + 8*y + 18*y)*(2 - 1 - 3 - 3*y).
-66*y**2 - 44*y
Expand ((-2 + 7 - 6)*(m + 4 - 4) + 6*m + m - 2*m)*(-5*m + 7*m - 4*m).
-8*m**2
Expand (-488 + 953 - 477 - t)*(2*t + t - 5*t).
2*t**2 + 24*t
Expand (-2*o + 2*o + 2*o)*(1 - 5 + 2) + (-65*o - 107 - 105 + 211)*(1 + 0 - 8).
451*o + 7
Expand (5 + 3 - 2 + (-2 + 2 + 2)*(-5 + 4 + 0))*(0*f - f - 3*f)*(8*f**2 + 23 - 23).
-128*f**3
Expand -62*j**2 - 108*j**2 + 137*j**2 + (0 + 0 - 2*j)*(4*j + j - 3*j).
-37*j**2
Expand (-1 + 2 - o - 2)*(4 - 2 - 1)*(-26*o + 73*o + 2*o) + (1 - 2 - 1)*(-1 - 2*o**2 + 1) - o + o - 2*o**2.
-47*o**2 - 49*o
Expand (77*o**3 - 97*o**3 + 82*o**3)*(4 - 1 - 2)*(-3*o**2 + 3*o**2 + 2*o**2).
124*o**5
Expand (0*o**4 + o**4 + 2 + 0)*(-14 + 10 + 31).
27*o**4 + 54
Expand (-4*u - 7*u**2 + 4*u)*(-1 - 4 + 4) + (0*u - 5*u + 3*u)*(-50*u + 94*u - 31*u) + (-u + 3*u + u)*(-2*u + 2 - 2).
-25*u**2
Expand (3*f - 2 + 2)*(-2 + 2 - 2*f**2)*(-17 + 17 - 7*f).
42*f**4
Expand i - 3*i + 4*i + (3 - i - 3)*(3 - 5 + 3) + (2*i - 2*i + i)*(4 - 3 + 3) - 4 + 4 - 2*i.
3*i
Expand -16*u**4 + 16*u**4 - 17*u**5 + 3*u**5 - 4*u**5 - u**5 + (u - u + u**5)*(5 + 1 - 5) - 5*u**5 - 4*u**5 + 5*u**5.
-22*u**5
Expand 0*j**4 - 5*j**5 + 0*j**4 + (3*j**2 + 0*j**2 - 4*j**2)*(-j**3 + j**3 - j**3) + (2 - 2 + 15*j**3)*(-2*j**2 - 3*j**2 + 2*j**2).
-49*j**5
Expand (-1 + 3 - 4)*(3 + 0 - 2)*(4*r - 10*r**2 - 4*r) + 8*r**2 - 2*r**2 + r**2.
27*r**2
Expand (2*z - 1 - z - 4*z)*(4*z + 2*z - 4*z)*(-4 + z + 4)*(3*z**2 + 0*z**2 - 6*z**2).
18*z**5 + 6*z**4
Expand (-l - 3*l + 2*l + 3)*(-258*l - 219*l + 119*l).
716*l**2 - 1074*l
Expand (20 - 20 - 3*t)*(44*t**3 - 21*t**3 - 30*t**3).
21*t**4
Expand (312 + 142*o - 312)*(-6 + 4 + 0).
-284*o
Expand (-1 + 9*f + 4 - 2)*(2 + 2 + 1)*(-1 + 1 + 2).
90*f + 10
Expand -4*t**2 + 3*t**2 + 0*t**2 + (-2*t - 3 + 3)*(2*t - 3*t + 2*t) + 7*t**2 + 11*t - 11*t + (-15 + 15 - 5*t)*(-3*t + 6*t - t).
-6*t**2
Expand (-3*s**2 + 0*s**2 + 4*s**2)*(-1 - s + 1) + 24*s**3 - 118*s**3 - 17*s**3 - 4*s**3 - s**3 + 3*s**3 + (4*s - 2*s - s)*(s**2 - 7*s**2 - s**2).
-121*s**3
Expand (2*h**3 - 1630 - 1687 + 3274 + 2*h**2)*(2*h**2 - 4*h + 4*h).
4*h**5 + 4*h**4 - 86*h**2
Expand 3273*g - 3273*g - 2 - 5*g**2 + (-1 + g + 1)*(2*g - 2*g + g).
-4*g**2 - 2
Expand (-z + 0*z + 0*z + (-z + 3*z - 3*z)*(0 + 1 - 7))*(3*z**2 - 2*z**2 + z**2).
10*z**3
Expand (-4*a - a + 4*a)*(-4*a**2 + 7*a**2 - 2*a**2) - 4353*a + 4353*a + 8*a**3.
7*a**3
Expand (-46*d + 46*d + 17*d**2)*(5*d - 2*d - d) - d**2 + d**2 + d**3 + (-d - 2*d - 2*d)*(-3*d + 3*d - 2*d**2) + 1 - d**3 - 1.
44*d**3
Expand (y + 2*y - 4*y)*(2*y**2 - 4*y + 4*y) + y - 7*y + 8*y + 17*y**3 + (7*y - 7*y - 4*y**2)*(-2*y + 3*y - 3*y).
23*y**3 + 2*y
Expand (-3*q - q + 3*q)*(-2*q + 4*q + 0*q - 3*q + 0*q + 2*q + (0 + 2 - 1)*(8 - 8*q - 8)).
7*q**2
Expand (-4*f**2 + f**2 - 32*f + 29*f)*(-6*f - 5*f + 10*f).
3*f**3 + 3*f**2
Expand (-10*b - 126*b**2 + 4*b + 125*b**2)*(4*b**2 + 4*b**2 - 9*b**2 + 25*b**3).
-25*b**5 - 149*b**4 + 6*b**3
Expand (3 + 0 - 1)*(3 + 0 - 2)*(115 + 8*z - 115).
16*z
Expand -1 - 1 + 2*d + 3 + (-2 + 2 - 2)*(-2 + 2 - d) + d - 4 + 4 + (0*d + 2*d + 0*d)*(0 - 1 - 1).
d + 1
Expand ((0 - 26 + 10)*(-5*l + l + 2*l) + (0 - 1 + 2)*(4 - 4 + 2*l) - l + 4 - 4 + 5*l - 2*l - 2*l + 0*l + 0*l - l)*(-l - 4*l + 4*l).
-33*l**2
Expand 0*b**2 + 0*b**2 - 3*b**4 + (2*b**3 - 4*b + 4*b)*(-6*b - 2*b - b) + 4*b**3 - 7*b**4 - 4*b**3.
-28*b**4
Expand (-4 - 1 - 4)*(-n - n - n)*(4 + 2 - 4)*(-2*n + 0*n + 0*n).
-108*n**2
Expand (-6*q + 4*q + 288*q)*(-1 + 1 + q)*(2*q + 3*q - 3*q).
572*q**3
Expand (q**2 - 2*q**4 - q
|
{
"pile_set_name": "DM Mathematics"
}
|
*l + 18*f
What is the second derivative of 230*j**4 + 4*j**3 - 88*j + 10?
2760*j**2 + 24*j
What is the second derivative of -1506*c**2 + 92*c?
-3012
Find the third derivative of 854*x**4 + 2*x**2 - 618*x.
20496*x
Find the second derivative of -446*z**4 - 564*z.
-5352*z**2
Find the second derivative of -399*k**2 + 10*k + 2.
-798
Find the third derivative of 109*j**3*l**3 + 3*j**3 + 2*j**2*l**2 - 17*j*l - 3*l**3 wrt l.
654*j**3 - 18
Find the second derivative of 250*t**2 + 232*t.
500
What is the second derivative of 98*t**2*u**2 + 2*t - 135*u**2 wrt t?
196*u**2
Differentiate -13*x*y**3 + 636*x + 4106*y**3 - y**2 wrt x.
-13*y**3 + 636
What is the derivative of 15*g**4 - 7*g**3 - 137 wrt g?
60*g**3 - 21*g**2
What is the derivative of -2*o**3*s - 12*o**3*z + 3*o**2*z**3 - 2*o*r*s*z + 2*o*r*z**2 + 13*r*s*z**3 wrt s?
-2*o**3 - 2*o*r*z + 13*r*z**3
Find the second derivative of b**2*d**2 + 3017*b**2*d - 2*b**2 - 206*d**5 wrt d.
2*b**2 - 4120*d**3
What is the first derivative of 4*j**3*r**2*y + 14*j**3*r**2 + 6*j**3*r + 4*j**2*r**2*y + y wrt y?
4*j**3*r**2 + 4*j**2*r**2 + 1
Find the second derivative of 170*k**2*p**2 + 158*k*p**2 - p**2 wrt k.
340*p**2
Find the third derivative of -5529*u**3 + 50*u**2 - 11*u.
-33174
What is the second derivative of -3678*f**4 + f**3 + 2*f**2 - 142*f - 2?
-44136*f**2 + 6*f + 4
Find the third derivative of 2*a**3*s - 1035*a**3 - 7*a**2*s - 14*s + 2 wrt a.
12*s - 6210
What is the first derivative of 58*c**2 - 271 wrt c?
116*c
Find the first derivative of -2*b**3*p*u + b**3*p + 21*b**2*p - 25*b*p*q + 144*b*q*u wrt u.
-2*b**3*p + 144*b*q
Differentiate -2054*m**4 - 810 wrt m.
-8216*m**3
Find the first derivative of -167*v*z**2 - 2*z**2 + 103*z wrt v.
-167*z**2
What is the third derivative of 23*k**5 + 20*k**3 + 9*k**2 + 24 wrt k?
1380*k**2 + 120
Find the second derivative of -8*c*q**3 - 286*c*q + 7*q**5 + 2*q**4 + 3*q wrt q.
-48*c*q + 140*q**3 + 24*q**2
What is the first derivative of 5*j**2*n**2 - 597*j**2 - 253*j*n**4 wrt n?
10*j**2*n - 1012*j*n**3
What is the derivative of -h**4*m - 21*h**3 + 16*h*m - 972*m - 2 wrt h?
-4*h**3*m - 63*h**2 + 16*m
Differentiate 104*o*s**3 - 2*o*s**2*w**2 + o*s + o*w + 966*s**3*w**2 - 1 with respect to w.
-4*o*s**2*w + o + 1932*s**3*w
What is the second derivative of 3066*x**5 + 627*x wrt x?
61320*x**3
Differentiate -79*g**2 - 1453.
-158*g
What is the third derivative of -14*h**3*v**3 - 53*h**3*v - 2*h**2*v - 17*h*v**3 - h*v**2 + 10*h wrt h?
-84*v**3 - 318*v
What is the first derivative of 420*j**3*r + 59*j**3 - 1 wrt r?
420*j**3
What is the second derivative of -46*i**4*z**2 - 3*i**2*z**2 + i*z**2 + 45*z**2 wrt i?
-552*i**2*z**2 - 6*z**2
Find the third derivative of 9*x**6 - 57*x**4 + 9*x**3 - 2*x**2 - 5894*x.
1080*x**3 - 1368*x + 54
What is the first derivative of n**2*o*w + 17*n*o*w - 5*n*w + n - 13*o*w + o - 11 wrt n?
2*n*o*w + 17*o*w - 5*w + 1
What is the second derivative of -11*b**4 + 4*b**2 + 3*b - 342?
-132*b**2 + 8
What is the first derivative of -1219*g**2*l - 2*g**2 - 3*g + 11667*l wrt g?
-2438*g*l - 4*g - 3
What is the derivative of -232*d**3 - 96?
-696*d**2
What is the second derivative of -1112*o*v**3 + 72*o*v + 7*o + 2*v wrt v?
-6672*o*v
What is the third derivative of -31*i**6*w**3*y - 2*i**4*w*y + 2*i**2*w**3 + 16*i**2 - 2*i*w**2*y wrt i?
-3720*i**3*w**3*y - 48*i*w*y
What is the second derivative of 578*t**5 + 145*t?
11560*t**3
Differentiate -172*v*x**4 + 2*v*x**3 + 3*v + 32 wrt x.
-688*v*x**3 + 6*v*x**2
What is the third derivative of f**5 + 276*f**3 - 40*f**2 - 8*f wrt f?
60*f**2 + 1656
Differentiate -531*g + 505 with respect to g.
-531
Differentiate -1025*f**2 - 9276 wrt f.
-2050*f
What is the second derivative of 61*p**5 + 4*p**4 - 4*p + 257 wrt p?
1220*p**3 + 48*p**2
Find the second derivative of 61*k**3*v**2 - 5*k**3*v + 34*k**2*v wrt v.
122*k**3
Find the second derivative of 3*d**2*m**2*w + 2*d**2*m + d**2*w - 44*d*m**2*w + 19*d*m*w + m**4*w wrt m.
6*d**2*w - 88*d*w + 12*m**2*w
What is the third derivative of 2*b*d**5 - 2*b*d**2 + 261*b + 132*d**5 wrt d?
120*b*d**2 + 7920*d**2
Find the second derivative of -1085*l**4 - 1552*l wrt l.
-13020*l**2
What is the derivative of -8812*i + 10423?
-8812
Differentiate 20917*f*z**2 - f - 185 wrt z.
41834*f*z
Find the second derivative of -12*v**2*x**3 - 16*v**2*x - 20*v*x - 8*x**4 wrt x.
-72*v**2*x - 96*x**2
What is the third derivative of -a**5 - 2*a**4*h + 2*a**3 - 2*a**2*h - 18*a*h + 2*h wrt a?
-60*a**2 - 48*a*h + 12
Find the second derivative of 25*k*o**3 - 3*k - 90*o**3 - 555*o wrt o.
150*k*o - 540*o
Find the second derivative of -m**2*x**3 - 3*m**2*x**2 + 14*m**2*x + 15*x**3 - 18*x wrt x.
-6*m**2*x - 6*m**2 + 90*x
Find the second derivative of 1243*s**2 - 2*s - 1458.
2486
Find the third derivative of 247*m**3 + 315*m**2 wrt m.
1482
Differentiate 2*o**4 + 321*o**3*x - 2*o*v**2*x + v**2*x + v*x - 21*x wrt o.
8*o**3 + 963*o**2*x - 2*v**2*x
What is the second derivative of -9647*s**2 - 853*s?
-19294
What is the third derivative of -380*f**6 + f**5 + 5*f**4 - 45*f**2 - 8*f - 3 wrt f?
-45600*f**3 + 60*f**2 + 120*f
What is the third derivative of -181*d**3 - 1173*d**2 wrt d?
-1086
Find the second derivative of 148*a*b**2*l**2 + 2*a*b*l**2 - a*b*l - 2*a - 7*b**2 + 189*b*l**2 wrt b.
296*a*l**2 - 14
What is the second derivative of -19*a**4 + a**3 + 11*a - 1?
-228*a**2 + 6*a
What is the first derivative of -3*v**4 - 2*v**3 - 401*v**2 - 4328?
-12*v**3 - 6*v**2 - 802*v
What is the second derivative of 12622*s**2 + 4742*s wrt s?
25244
What is the second derivative of b**5 - 2173*b**4 + 404*b + 4 wrt b?
20*b**3 - 26076*b**2
Find the second derivative of 138*i**3 - 29*i**2 - 19907*i wrt i.
828*i - 58
Find the third derivative of -2000*b**5 - b**4 + 2*b**3 + 50*b**2 + 211 wrt b.
-120000*b**2 - 24*b + 12
Find the third derivative of -3*g**5 + 38*g**4 + 1806*g**2 - 3.
-180*g**2 + 912*g
Differentiate -h**2*n**2*w - 76*h**2*n**2 - 145*n**2*w + 2*n**2 wrt w.
-h**2*n**2 - 145*n**2
Differentiate 46*a**2 - 2*a*h**2 - 10*h**2 + 126*h - 2 with respect to a.
92*a - 2*h**2
What is the second derivative of 2035*x**3 + x wrt x?
12210*x
Find the first derivative of -11*t**3*v**3 + 7*t**3 + 9*t**2 - 172*t*v**3 - 5*t wrt v.
-33*t**3*v**2 - 516*t*v**2
Differentiate -20*d**3*n*o + 2*d**3*o**3 - d**2*n*o**3 - d*o**2 + 31*o**3 with respect to n.
-20*d**3*o - d**2*o**3
What is the first derivative of -6*i**4 - 20*i*m**3 - 271*m**3 wrt i?
-24*i**3 - 20*m**3
Find the second derivative of -2*i**5 - 1848*i**2*r - 2075*i + 3*r - 1 wrt i.
-40*i**3 - 3696*r
What is the derivative of 3262*k - 2640 wrt k?
3262
What is the first derivative of 237*w**2 - 58?
474*w
What is the second derivative of -19*n**2*r*t**2 + n**2*r*t + 11*n**2*t**2 - 7*n*r*t**2 - 12*n*r - 2*r*t - t**2 wrt n?
-38*r*t**2 + 2*r*t + 22*t**2
Find the third derivative of -51*i**6 + 3*i**2 + i.
-6120*i**3
Find the third derivative of t**3*v**4 - 6*t**3*v**2 + 40*t**3*v + t**2*v**4 + 3*v**3 wrt v.
24*t**3*v + 24*t**2*v + 18
Find the first derivative of -2315*a*y**2 + 7237*a + 2*y**2 wrt y.
-4630*a*y + 4*y
What is the third derivative of -2*c*g**3*y**3 - c*g**3*y**2 - 2*c*y**4 - 15*g**3*y + 12*y**5 wrt y?
-12*c*g**3 - 48*c*y + 720*y**2
Find the third derivative of k**3*l**2*q - 1443*k**3*l*q*y - 2*k**3*q*y - k**2*l**2*q + 3*k**2*l + k**2*y - k*l**2*y + 2*l**2*q - 2*q*y wrt k.
6*l**2*q - 8658*l*q*y - 12*q*y
Find the first derivative of -117*y**3 + 439 wrt y.
-351*y**2
What is the third derivative of 1120*m**3 + 489*m**2?
6720
Find the first derivative of 2*a**2*q + 4*a*l - 4*a*q**2 - 2*l*q - 122*q**2 wrt a.
4*a*q + 4*l - 4*q**2
Differentiate -10666*s**2 - 9495 with respect to s.
-21332*s
What is the derivative of -8*b**2*g*o - 4*b*g*o + b*o - 286*g*o wrt b?
-16*b*g*o - 4*g*o + o
Find the third derivative of -12677*y**3 + 122*y**2 - 4*y wrt y.
-76062
What is the second derivative of -830*b**3*v**3 + b**3*v - 59*v wrt v?
-4980*b**3*v
Find the third derivative of -24*o**4*x + 3*o**4 + 89*o**2*x + 2*o**2 wrt o.
-576*o*x + 72*o
What is the first derivative of -495*y - 1596?
-495
What is the first derivative of -2*r**4 + r**3*t + 22*r**2*t**2 + 1228*t**2 wrt r?
-8*r**3 + 3*r**2*t + 44*r*t**2
Find the second derivative of 11452*g**3 + 12360*g wrt g.
68712*g
Differentiate -8*r**3 + 21*r**2 - 1270.
-24*r**2 + 42*r
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0, -3*s + 3*l = 1416. Let q = s - -325. Let w = 281 + q. Does 51 divide w?
False
Let s(g) = -23*g - 3. Suppose -7 = 6*n + 23. Does 28 divide s(n)?
True
Suppose -2*q + 42 = 4*t, 3*q = -0*q + 3*t + 81. Let k = q + -21. Suppose 2*x = -x + 2*w + 228, x - 76 = -k*w. Does 19 divide x?
True
Let k(o) = 0 - 3 - 5*o + o**3 - o - 8*o**2 - 14. Let x be 3 + -6 + 5 - -7. Is k(x) a multiple of 4?
False
Does 7 divide 1606101/56 + -1 + 48/(-128)?
True
Let l be (-8 + 12)/((-90)/(-86) - 1). Suppose -2*b - l = -96. Suppose -3*p - 5*n + 501 = -0*p, -813 = -b*p - n. Does 29 divide p?
False
Suppose 25 = 9*i - 4*i, 0 = -5*k - 4*i + 2085. Does 9 divide k?
False
Suppose -39*a + 22595 = 5*k - 34*a, 18055 = 4*k + a. Does 47 divide k?
True
Suppose 5*u - 30 = 8*u. Let c be (u/(-5))/(0 + -1)*-2. Suppose k = -c*s + 625, 2*s - 257 = 5*k + 50. Does 26 divide s?
True
Let q = 11483 - 9761. Is q a multiple of 9?
False
Let w(y) = 2*y**2 - 29*y - 328. Is 14 a factor of w(-10)?
False
Let j = 11030 - -2140. Is j a multiple of 15?
True
Suppose v - 81 = -b, -3*b + 429 = 2*b - 3*v. Let q = b + 1066. Does 46 divide q?
True
Let j be (49/14)/((-2)/(-4)). Is 7 a factor of j + -5 + 301 - 5?
False
Let m be (-4)/6*(-666)/(-4). Let r = m + 116. Suppose -8*a - r*a = -2405. Is 37 a factor of a?
True
Let f = -23710 - -26110. Is f a multiple of 200?
True
Let y = 48053 - 28918. Does 16 divide y?
False
Is (7 - -1872) + (-12 - -9) a multiple of 14?
True
Let b(q) = 21*q - 81. Let f(a) = 5*a + 98. Let g be f(-18). Does 29 divide b(g)?
True
Let f be (-1)/((-42)/28*4/(-6)). Let m(q) = -26*q**3 - 2*q**2 - 2*q + 1. Let p be m(f). Suppose 3*s + n = 3*n + 69, -s + 2*n = -p. Is s even?
False
Let d = 235 - -93. Suppose -d = -9*t + 3317. Is t a multiple of 45?
True
Let k be 6/(-4 + 24/4). Suppose s + 5*y = -14, -k*s + 23 = -y + 1. Is 2 a factor of 1*s/(-4)*-8?
True
Let v be (-15 + 17)/((8/(-6))/(-4)). Let f be (-7)/((v/(-99))/((-10)/15)). Let q = -40 - f. Is q a multiple of 6?
False
Let u(t) = 1486*t - 3419. Is u(7) a multiple of 41?
False
Suppose -13*y + 11*y = -4. Let j(i) = -3*i + 5 + 180*i**3 + 2*i**2 - 177*i**3 - y*i. Is j(2) a multiple of 9?
True
Let r(n) = 11196*n**2 + 9*n - 28. Is 122 a factor of r(2)?
True
Let c(a) be the first derivative of a**3/3 + 13*a**2 + 84*a - 12. Is 2 a factor of c(-24)?
True
Let n = 56 - 75. Does 29 divide (248 - (-1 - -2)) + n + 17?
False
Suppose -6*b + 13 = -5. Is 2 a factor of ((-10)/(-4) - b)*74/(-1)?
False
Let m(n) be the first derivative of n**4/2 + 11*n**3 - 3*n**2/2 + 8*n + 2284. Let x = -26 - -10. Is 52 a factor of m(x)?
True
Let m = 71 - 43. Suppose -13 - 7 = 5*k - 5*s, -s = -2*k - 7. Is 3 a factor of (1 + k)*m/(-4)?
False
Let g = -28330 - -44530. Is g a multiple of 20?
True
Suppose -x = 4*l - 488, -l - 931 = -4*x + 2*x. Does 58 divide x?
False
Suppose 5*a - 76 = 4*i, -3*i - 52 = -4*a - 2*i. Suppose u = -2*u - a, -5*u - 62 = -h. Is 2 a factor of h?
True
Let y(h) = 172*h**2 - 9*h - 205. Is y(-8) a multiple of 75?
True
Suppose -2*l - 13 = -25. Suppose l = -11*y + 28. Does 23 divide 5 + 5 + (15 - y)?
True
Does 4 divide (-110)/(-165) + 23572/12?
False
Let l(b) be the first derivative of -b**4/4 + 5*b**3/3 - b**2 + 13*b + 68. Does 2 divide l(4)?
False
Suppose 0 = -5*l - 3*q + 18358, l = 17*q - 14*q + 3650. Is 14 a factor of l?
True
Is 69 a factor of (4 + 2 - 15) + 12 - -8883?
False
Suppose 4*a = -3*g + 8121 + 27162, -2*a = -g - 17639. Is 28 a factor of a?
True
Suppose 7*d + 1617 = 14*d. Suppose q = -4*g + 3*g - d, 1 = g. Let l = -112 - q. Is 19 a factor of l?
False
Let o be 9/45 + (-24)/(-5). Suppose 11*w - 781 - 3113 = 0. Suppose -o*v + w = v. Is 15 a factor of v?
False
Is (-9986)/(1 + (-12 - (-4 + -5))) a multiple of 14?
False
Suppose u - 21 + 19 = 0. Let f(q) be the third derivative of q**4/3 + q**3/2 + 24*q**2. Does 2 divide f(u)?
False
Suppose -3*w - f + 128 = 0, -5*w + 2*f + 172 = -34. Suppose 15 + 0 = 5*g. Suppose 96 + w = g*n. Is 17 a factor of n?
False
Suppose 27*h - 5854 = 3704. Is 59 a factor of h?
True
Let i(y) = 2*y**2 - 9*y + 11. Let o be i(3). Suppose 0 = -r - 3*r - o*d + 898, r - d = 226. Is 9 a factor of r?
True
Let w(q) be the third derivative of -3*q**4/8 + 14*q**3/3 + 36*q**2. Does 17 divide w(-8)?
False
Let m(k) = 93*k - 23. Let n be m(22). Suppose -7*y + n + 1001 = 0. Is y a multiple of 12?
True
Let v be -1 + 2 + -4 + -251. Let f = -133 - v. Suppose f = 5*k + 36. Does 9 divide k?
False
Let d(p) = -6308*p - 2100. Is d(-5) a multiple of 32?
True
Let u(f) = 326*f + 3780. Does 238 divide u(49)?
True
Suppose -10283 - 110222 = -25*m + 8645. Is m a multiple of 14?
True
Let w = 25788 - 13503. Is w a multiple of 13?
True
Let x = 22 + -20. Let r(q) = -3*q - 30. Let w be r(-9). Does 4 divide x - -8 - (-6)/w?
True
Let r(a) = a**3 - a - 6. Let s be r(6). Let y be s/(-16) - (-2)/(-8). Let i = 92 + y. Does 12 divide i?
False
Let q = -6129 - -6345. Does 27 divide q?
True
Let i(t) = 46*t - 77. Let p = -204 - -207. Is i(p) a multiple of 4?
False
Suppose 1 = -2*o - 3*i, -22*o - 2 = -26*o - 2*i. Is 13 a factor of (o - 65/25)*-195?
True
Let m(n) = -n**2 - n + 1. Suppose 3*x = -3, -3 = -b + 3*x - 5. Let h(d) = -d**3 - 6*d**2 + 5*d - 14. Let a(w) = b*m(w) - h(w). Does 7 divide a(-10)?
False
Suppose 6 = -3*w, -3*u - 280*w = -277*w - 21639. Is u a multiple of 8?
False
Suppose -3*d + 69666 = -3*z, d - 23220 = 732*z - 729*z. Is 23 a factor of d?
False
Suppose a - q = -2*q + 23, -3*q + 9 = 0. Suppose 0 = 2*r - 3*u + a, u + 12 = -2*r + 2*u. Is 2*1390/36 - r/(-18) a multiple of 16?
False
Let o be (2 - -13)/(12/(-100)). Is (5 - o/(-20))*(-44)/1 a multiple of 11?
True
Suppose 50*d - 33824 = -6*d. Is 8 a factor of d?
False
Let h(m) = 3*m**2 - 127*m + 9939. Is 51 a factor of h(52)?
False
Suppose 343589 = 46*k + 30053. Does 24 divide k?
True
Let s = 61 - 56. Suppose 5*f + 10 = 0, -87 = -s*a - 3*f + 667. Let u = 275 - a. Is 27 a factor of u?
False
Suppose -5*h + 2*j + 761 = -2*h, -4*h - 5*j + 1053 = 0. Let d = h + -99. Is 15 a factor of d?
False
Let s be 0/157 - (-3 - (0 - -1)). Let h = s + 170. Does 58 divide h?
True
Let b(o) = 639*o**2 - 33*o + 93. Does 23 divide b(4)?
False
Does 99 divide (-20)/(-45) + 82859/9?
True
Let s = -5 - -11. Suppose -4*g + 25 = -3. Let n = g + s. Is 13 a factor of n?
True
Let h be 4 + 4 + -6 + 0 + 3. Suppose -h*y - 5408 = -9*y. Is 30 a factor of y/6 + -3*6/(-27)?
False
Is 10 a factor of 21/((-294)/(-238)) + 263?
True
Let o(c) = -c**3 - 19*c**2 - 171*c + 29. Does 11 divide o(-12)?
False
Let y be 8/64*-10 + 6/(-8). Is 33*9/((-9)/y) even?
True
Suppose -10*a = 40*a - 138850. Is 62 a factor of a?
False
Let d(w) = w**3 - 11*w**2 + 35*w - 11. Let a be d(13). Let c = a + -506. Suppose -5*o + c = -o. Is 9 a factor of o?
False
Suppose w - 4*p = -2*w - 307, -4*p - 8 = 0. Is 8 a factor of (46/(-10))/(7/w)?
False
Suppose 0 = 3*a + 5*y + 8 - 13, 5*y = 2*a - 20. Suppose a*z = 10, -2*x = x + 5*z - 934. Is x a multiple of 44?
True
Suppose 2*b + 303 = -143. Let p = -126 - b. Suppose -v + 50 + p = l, 0 = 4*l + 20. Is v a multiple of 31?
False
Let g(d) be the second derivative of -d**5/20 + 4*d**4/3 - 11*d**3/3 - 3*d**2/2 + 2*d + 39. Does 13 divide g(10)?
True
Let c(l) = 10*l**2 - 2*l + 1. Let y be c(1). Suppose 0 = 4*t - y + 5. Does 15 divide 54/t*15/6 - 0?
True
Let n(d) = -4*d**3 - 25*d**2 - 7*d - 8. Let j be n(-6). Is 14 a factor of -13*2/j*125?
False
Let w be (-2 - 0) + 7/(28/(-52)). Suppose 0 = z - 5*a + 247, 0*z + 4*z + 988 = -4*a. Is 15 a factor of 5/w*(z + 1)?
False
Suppose -71*l - 95*l + 68479 = -254889. Is 3 a factor of l?
False
Suppose 0 = h + 6*h - h. Suppose h = n - 182 + 56. Is 21 a factor of n?
True
Let c(y) = -y**3 + 5*y**2 + 15*y - 5. Let q be c(7). Suppose -3*n + 2*r = -q*r - 64, 4*r = -4. Is n a multiple of 2?
True
Suppose -28787 = -3*l - 4307. Suppose x - l = -7*x. Suppose 4*i - 9*i = -x. Is i a multiple of 34?
True
Let x(l) = -84*l - 1311. Is x(-59) a multiple of 9?
True
Let z = -3713 + 3825. Does 7 divide z?
True
Let v be (-2)/(-5 + 2 - (-19)/7). Suppose o = -2 + v. Suppose o*r + 3*b = 7 + 118, 0 = -2*b - 10. Is 14 a factor of r?
True
Let a(z) = 70*z**2 - 40*z + 70. Is 30 a factor of a(5)?
True
Suppose -3*x + 17422 = -4*l, -10*x + 3*l - 5816 = -11*x. Is 16 a factor of x?
False
Is 2851004/3521*7/2 a multiple of 13?
True
Is 18390 + 4 + (-494)/26 a mul
|
{
"pile_set_name": "DM Mathematics"
}
|
when 49416 is divided by 49398?
18
Calculate the remainder when 995675 is divided by 481.
5
Calculate the remainder when 206257 is divided by 41234.
87
Calculate the remainder when 14558 is divided by 500.
58
Calculate the remainder when 302365812 is divided by 262.
258
What is the remainder when 14303081 is divided by 3761?
3759
What is the remainder when 2799627 is divided by 667?
228
Calculate the remainder when 1944553 is divided by 194397.
583
What is the remainder when 44350 is divided by 3367?
579
What is the remainder when 1331633 is divided by 37?
3
Calculate the remainder when 5889 is divided by 5352.
537
Calculate the remainder when 25947 is divided by 12431.
1085
Calculate the remainder when 6767601 is divided by 57841.
204
Calculate the remainder when 10267649 is divided by 450.
449
What is the remainder when 41523 is divided by 20366?
791
Calculate the remainder when 27421067 is divided by 5484210.
17
Calculate the remainder when 10745694 is divided by 4165.
4159
What is the remainder when 1393802 is divided by 6482?
172
What is the remainder when 169537 is divided by 277?
13
Calculate the remainder when 2998061 is divided by 314.
303
Calculate the remainder when 6238184 is divided by 66.
62
What is the remainder when 116279 is divided by 16334?
1941
Calculate the remainder when 770093 is divided by 13277.
27
Calculate the remainder when 1103379 is divided by 2289.
81
What is the remainder when 48197 is divided by 3138?
1127
What is the remainder when 1360506 is divided by 219?
78
Calculate the remainder when 5532485 is divided by 74.
23
What is the remainder when 43046 is divided by 1307?
1222
Calculate the remainder when 1453211 is divided by 4796.
23
Calculate the remainder when 6034918 is divided by 120.
118
What is the remainder when 4135048 is divided by 229724?
16
Calculate the remainder when 3020086 is divided by 222.
220
Calculate the remainder when 804802 is divided by 649.
42
What is the remainder when 172330284 is divided by 31?
13
What is the remainder when 3820034 is divided by 3819995?
39
What is the remainder when 2112702 is divided by 9?
6
Calculate the remainder when 2508255 is divided by 339.
333
What is the remainder when 4773900 is divided by 954776?
20
What is the remainder when 13182449 is divided by 1310?
1229
Calculate the remainder when 679306 is divided by 10614.
10
What is the remainder when 4846410 is divided by 43?
9
Calculate the remainder when 4393338 is divided by 122.
118
Calculate the remainder when 249675 is divided by 10660.
4495
What is the remainder when 148742 is divided by 74121?
500
What is the remainder when 1386433 is divided by 277?
48
What is the remainder when 10110026 is divided by 105?
101
Calculate the remainder when 584153 is divided by 263.
30
Calculate the remainder when 5850898 is divided by 45.
43
What is the remainder when 33823248 is divided by 1691162?
8
What is the remainder when 7075894 is divided by 847?
56
Calculate the remainder when 101904 is divided by 539.
33
Calculate the remainder when 5700166 is divided by 2580.
946
Calculate the remainder when 6580 is divided by 2368.
1844
Calculate the remainder when 1265993 is divided by 97383.
14
What is the remainder when 102140 is divided by 10176?
380
What is the remainder when 3761141 is divided by 795?
791
What is the remainder when 872399 is divided by 1512?
1487
What is the remainder when 147869 is divided by 640?
29
Calculate the remainder when 7775411 is divided by 11889.
5
What is the remainder when 130348 is divided by 297?
262
Calculate the remainder when 356908 is divided by 770.
398
Calculate the remainder when 68326315 is divided by 4427.
4424
What is the remainder when 251999 is divided by 30212?
10303
Calculate the remainder when 34724569 is divided by 37.
32
Calculate the remainder when 77340 is divided by 637.
263
What is the remainder when 6563507 is divided by 51?
11
What is the remainder when 24643 is divided by 23418?
1225
What is the remainder when 218494295 is divided by 24?
23
What is the remainder when 514169 is divided by 2116?
2097
Calculate the remainder when 2477579 is divided by 30.
29
What is the remainder when 1378680 is divided by 166?
50
Calculate the remainder when 14411259 is divided by 145.
144
Calculate the remainder when 240560 is divided by 79702.
1454
Calculate the remainder when 3327929 is divided by 3090.
3089
Calculate the remainder when 7021378 is divided by 1003053.
7
What is the remainder when 6411703 is divided by 1602866?
239
What is the remainder when 17063 is divided by 3685?
2323
What is the remainder when 4887051 is divided by 1772?
1647
Calculate the remainder when 316812 is divided by 972.
912
What is the remainder when 163830196 is divided by 4497?
4486
Calculate the remainder when 60762972 is divided by 10127160.
12
Calculate the remainder when 196481 is divided by 97684.
1113
What is the remainder when 56893 is divided by 7079?
261
Calculate the remainder when 133701 is divided by 920.
301
What is the remainder when 117050 is divided by 29235?
110
What is the remainder when 561531 is divided by 4222?
5
What is the remainder when 10560591 is divided by 461?
3
Calculate the remainder when 4679377 is divided by 2105.
2067
Calculate the remainder when 2609265 is divided by 2609265.
0
Calculate the remainder when 11947055 is divided by 2966.
7
Calculate the remainder when 4157258 is divided by 182.
14
Calculate the remainder when 6053749 is divided by 39310.
9
Calculate the remainder when 386391 is divided by 1337.
1335
What is the remainder when 1146121 is divided by 163724?
53
What is the remainder when 2333465 is divided by 2240?
1625
What is the remainder when 103222 is divided by 179?
118
Calculate the remainder when 11948636 is divided by 80.
76
Calculate the remainder when 24361540 is divided by 537.
535
What is the remainder when 8678 is divided by 3722?
1234
Calculate the remainder when 151961 is divided by 37481.
2037
Calculate the remainder when 6441938 is divided by 42.
20
Calculate the remainder when 112614 is divided by 11638.
7872
Calculate the remainder when 1377765 is divided by 790.
5
What is the remainder when 8808 is divided by 4374?
60
Calculate the remainder when 48602 is divided by 332.
130
Calculate the remainder when 45760462 is divided by 1674.
1672
Calculate the remainder when 14831986 is divided by 5467.
15
What is the remainder when 768216 is divided by 71?
67
Calculate the remainder when 193862 is divided by 6185.
2127
Calculate the remainder when 8864 is divided by 4415.
34
Calculate the remainder when 824801 is divided by 61.
20
Calculate the remainder when 2037514 is divided by 2147.
11
Calculate the remainder when 20431440 is divided by 1080.
0
Calculate the remainder when 14630 is divided by 3550.
430
Calculate the remainder when 123262 is divided by 448.
62
What is the remainder when 39720451 is divided by 1217?
5
What is the remainder when 2156598 is divided by 28?
10
Calculate the remainder when 50183 is divided by 7098.
497
What is the remainder when 35029370 is divided by 2594?
2588
What is the remainder when 1927227 is divided by 15668?
63
What is the remainder when 594562 is divided by 34968?
106
Calculate the remainder when 10294830 is divided by 1112.
1046
What is the remainder when 617041 is divided by 5154?
3715
Calculate the remainder when 26161 is divided by 13038.
85
Calculate the remainder when 97924435 is divided by 25.
10
What is the remainder when 2209912 is divided by 12628?
12
Calculate the remainder when 5264146 is divided by 5264139.
7
Calculate the remainder when 3494359 is divided by 25693.
111
What is the remainder when 12790602 is divided by 4823?
6
Calculate the remainder when 1110414 is divided by 490.
74
Calculate the remainder when 1389159 is divided by 694573.
13
Calculate the remainder when 37556646 is divided by 262.
256
Calculate the remainder when 21520248 is divided by 348.
276
What is the remainder when 229860 is divided by 38156?
924
Calculate the remainder when 25205 is divided by 1096.
1093
What is the remainder when 4188928 is divided by 1047228?
16
Calculate the remainder when 82027 is divided by 11653.
456
Calculate the remainder when 344686 is divided by 1336.
1334
What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
of y?
True
Let d(v) be the third derivative of v**6/120 + v**4/24 + 7*v**3/6 - 2*v**2. Let t be d(0). Is t/1 - (-1)/1 a multiple of 4?
True
Suppose 2*f = -3*f + 3*v, 3*v - 15 = 0. Suppose 4*p - 49 - 19 = -a, f*a + 4 = p. Does 8 divide p?
True
Let b(o) be the second derivative of o**2 - 1/20*o**5 + 1/2*o**4 + 0 - o - 1/2*o**3. Is b(4) a multiple of 11?
True
Let b(s) = -s**3 - 13*s**2 - 36*s. Does 15 divide b(-10)?
True
Let h(c) = -c**3 - 7*c**2 + 7*c + 12. Let o be h(-8). Suppose -4*u = 3*j - 12, -5*u - o = -3*j + 19. Is 2 a factor of j?
True
Does 11 divide (-518)/(-6) + (-12)/9?
False
Let y = 166 + -95. Does 22 divide y?
False
Let i(l) = 38*l + 1. Let c be i(-1). Let y = -15 - c. Is 13 a factor of (4 + -2)*(y + -3)?
False
Let f(n) = n**3 + 7*n**2 - 3*n - 4. Let h be f(-7). Let b = -15 + 7. Let g = h + b. Does 9 divide g?
True
Suppose 5 + 13 = 3*a. Let d = 23 - a. Is d a multiple of 12?
False
Is 198/4*(56/(-6))/(-7) a multiple of 11?
True
Suppose -4*u = -5 - 387. Is 5 a factor of u?
False
Suppose -3*b + 736 = b. Suppose -2*m - 2*m + b = 0. Does 17 divide m?
False
Is 26 a factor of (1 + 46/6)*3?
True
Let a be ((-3)/7)/(6/(-42)). Suppose -a*j = j - 140. Is j a multiple of 28?
False
Let w = -4 - -6. Let m = w - 0. Does 5 divide m/(-9) - (-47)/9?
True
Suppose -2*j + 5*d - 153 = -397, -3*j + 4*d = -352. Is j a multiple of 14?
True
Let m(w) = w**3 - 4*w**2 + 2*w - 3. Let v be m(4). Suppose -2*r + 70 + 58 = 0. Suppose -v*n + 6*j - 3*j + 88 = 0, -4*n + r = 4*j. Is n a multiple of 17?
True
Let p = 104 - -3. Is 21 a factor of p?
False
Suppose -5*s + h + h = -140, -4*s + h + 109 = 0. Does 19 divide s?
False
Let m(c) = -c + 12. Let g be m(9). Suppose 6*y - 36 = g*y. Is 6 a factor of y?
True
Suppose 0 = 5*q + 19 - 89. Suppose r - q = -z + 3*r, -2*z = -3*r - 30. Is 16 a factor of z?
False
Let i be (3 + -1)*(-87)/(-6). Suppose 5*b = i + 141. Is 13 a factor of b?
False
Suppose 5 + 17 = k. Does 11 divide k?
True
Suppose r + 0*r - 2*g = -6, -4*g + 20 = 0. Suppose 10 = q + r. Is q a multiple of 4?
False
Let l be ((-7)/2)/(1/(-2)). Let b(z) = 5*z - 11. Is 6 a factor of b(l)?
True
Let d(h) = h**2 - h. Let l be d(2). Suppose -l = o + 4. Let j = o - -57. Is j a multiple of 18?
False
Suppose 3*z = z - 2. Let b be z/5 + (-11)/(-5). Let w = 9 + b. Is w a multiple of 4?
False
Let l = 43 - 31. Is l a multiple of 5?
False
Is -3 - (-51 - (-2 - 2)) a multiple of 12?
False
Let k = 69 - 37. Suppose 33 = 5*p - k. Does 9 divide p?
False
Is 16 a factor of 2150/45 - 2/(-9)?
True
Let j(m) = -m**3 - 2*m**2 + m. Let q be j(1). Let r(i) = -i**3 + 4*i**2 + 4*i - 2. Let c(x) = -x**2 - x - 1. Let p(f) = q*c(f) - r(f). Is p(3) a multiple of 4?
False
Let i(n) = -1 + 0 + n**2 - 9*n - 7 + 10. Is i(13) a multiple of 18?
True
Suppose 0 = 51*u - 56*u + 870. Is u a multiple of 14?
False
Suppose -36 = v + 5*k, -3*k + 4*k = -1. Suppose 3*u - 6*u - 4*n = 13, 2*u = -5*n - 11. Is 5 a factor of 4/(-12) + v/u?
True
Let n be (-1)/((-1)/2) + 84. Suppose -n = -4*p - 14. Is 9 a factor of p?
True
Suppose 11 = 2*m - m - 3*t, 3*m = 5*t + 29. Suppose m + 21 = s. Is 15 a factor of s?
False
Let c be (-1)/(-3 - -4)*-11. Let b = c - 5. Is 24/(1/(b/9)) a multiple of 8?
True
Let n(c) = c - 4. Let f be n(7). Suppose 2*v - 34 = -4*w + 26, 0 = 3*w - f*v - 36. Does 14 divide w?
True
Suppose 2*s = -2*s. Suppose 0 = 3*a - 5*w - 34, 4*a + s*a - 4*w = 32. Suppose -b = 3*u - 19, -a*u = 3*b - 80 + 17. Does 10 divide b?
False
Suppose 0*i = -2*i. Suppose -55 = -i*v - v. Is v a multiple of 20?
False
Suppose 5*f + 98 = 5*l + 6*f, 4*l = 4*f + 88. Does 10 divide l?
True
Let q(t) = -2*t - 5. Suppose -7*r - 8 = -3*r - 2*i, i = 3*r + 8. Let g be q(r). Suppose -5*x - 2 + 8 = 2*d, -g*x - 2*d + 2 = 0. Is 2 a factor of x?
True
Suppose -4*a + 74 = 4*w - 54, 3*w - 90 = -5*a. Suppose 4*u - 3*v - w = 0, -u + 17 = 5*v - 3*v. Is 11 a factor of u?
True
Does 8 divide 6/(12/202) + 3?
True
Let v(n) be the first derivative of 2*n**4/3 - n**3/3 + n**2 - 2*n + 1. Let d(m) be the first derivative of v(m). Is 15 a factor of d(2)?
True
Let h be 13/5 - 2/(-5). Let i(p) be the first derivative of p**4/2 - 2*p**3/3 + p**2 + 2*p + 12. Is 15 a factor of i(h)?
False
Is (-122)/(-10) + 4/(-20) a multiple of 6?
True
Let l(h) = 5*h**3 + 2*h**2 - 2*h + 1. Let y be l(1). Let a(o) = 2*o - 2. Is a(y) a multiple of 4?
False
Let q(n) = -n**3 - 4*n**2 - 6*n - 4. Is 7 a factor of q(-4)?
False
Let w be ((-2)/3)/(2/(-63)). Suppose w = 2*c - 15. Does 7 divide c?
False
Suppose z + u - 11 + 0 = 0, -5*u + 15 = z. Suppose -18 - z = -4*q. Does 7 divide q?
True
Suppose 0*x + 10*x = 1560. Is 12 a factor of x?
True
Let b(l) = l**2 + 4*l + 1. Let k be b(-3). Does 19 divide 19*(6/k + 4)?
True
Suppose -2*q - 3*t - 2 = 0, -2*q - t - 1 = 1. Is (-1)/(q*(-1)/(-30)) a multiple of 10?
True
Suppose -5*j + 96 = -3*k, -2*k + 32 = 2*j - 0. Is j a multiple of 11?
False
Suppose 0*b - 4*b = -1156. Suppose 0 = 4*h - b - 47. Let a = h + -58. Does 13 divide a?
True
Let h(z) = 18*z**2 - 1. Let y be (-5)/(-10) - (-3)/(-2). Let v be h(y). Let s = -5 + v. Does 12 divide s?
True
Let g(j) = 3*j**3 + 3*j**2 - 2*j + 1. Suppose -5*a = -4*t - 30, -3*a + 2*t + 18 = a. Is 11 a factor of g(a)?
True
Let u be -5 - (-6)/4*2. Is 40 - u*(-2 - -3) a multiple of 14?
True
Suppose -2*x = 2*x - 192. Is 12 a factor of x?
True
Suppose -5*k + m + 0*m = -5, 0 = -2*m. Let j(w) = 8*w + 1 + 2*w + 3*w. Is j(k) a multiple of 6?
False
Suppose c + 2 = 3*c. Suppose -v = -c - 1. Suppose -v*o + 16 = -2*a, -2*a - 20 = -3*o + 5. Does 8 divide o?
False
Let l(k) = 2*k**2 + 3*k - 3. Let x = 0 + 3. Let v be l(x). Suppose -2*j = 4*c - 0*j - 54, -v = -3*c + 4*j. Is c a multiple of 12?
True
Let f be (4/(-2))/((-2)/(-2)). Let i = -25 - -37. Is (i/f - 2)/(-1) a multiple of 3?
False
Suppose -b - 31 = -2*b - 4*v, b - 2*v = 13. Is b a multiple of 18?
False
Let h(v) = v**2 + v - 22. Does 10 divide h(-9)?
True
Let b = -17 + 20. Suppose 0 = 4*n - 5*v - 130, -b*n - 32 = -4*n + v. Does 7 divide n?
False
Does 12 divide -4*3*(4 + -6)?
True
Does 30 divide ((-3)/12 - 15/20) + 143?
False
Suppose -2*r = -i + r, -4*i = -2*r. Let q = 12 + -13. Is 5*((-6)/q + i) a multiple of 15?
True
Let l = -7 - -2. Let f = l - -3. Let m(t) = -t**3 + 3*t + 1. Is 2 a factor of m(f)?
False
Suppose -154 = l - 2*l + 2*o, -2*o + 6 = 0. Is 7 a factor of l?
False
Let r(g) = 32*g. Let u = 4 - 3. Is 16 a factor of r(u)?
True
Let i(x) = x**3 - 7*x**2 + 5*x + 13. Does 15 divide i(8)?
False
Suppose 27 = 2*b - u, 5*b - 2*u = u + 68. Is b a multiple of 8?
False
Let g = -39 - -69. Suppose 5*w - 6 = 4. Let t = g - w. Is 14 a factor of t?
True
Let i(g) = -g**3 - 4*g**2 - 3*g + 2. Let a be i(-3). Suppose a*p + 3*p = -15. Is 6 a factor of 1/(p/(-27)) + 2?
False
Suppose -13 - 12 = -5*k. Let q be -54 + (2 - (k - 2)). Let s = q - -78. Is 8 a factor of s?
False
Suppose 2*f + w = -w + 62, -f = -2*w - 40. Is f a multiple of 11?
False
Suppose 4*c + 2*r = 72, -3*c = -r - 88 + 24. Does 5 divide c?
True
Suppose 2*x + 111 = 5*x. Is 15 a factor of x?
False
Let y = 72 - 36. Does 12 divide y?
True
Suppose -4*p = 5*b - 13, 5*b + 5*p - 14 = 1. Suppose u - 85 = -b. Does 26 divide u?
False
Let u(y) = 6*y - 2. Let f be u(6). Suppose 0*o - 3*o - 2*p + f = 0, -4*p + 8 = o. Is o a multiple of 7?
False
Let z = 11 - 8. Suppose z*o + 18 = 3*v - 8*v, -3*v = -3*o + 6. Let s = 13 + o. Does 12 divide s?
True
Let j(p) = 6*p**2 - 2*p + 1. Is j(2) a multiple of 5?
False
Suppose -2*z + 7*z - 20 = 0. Let s = z + -4. Suppose -h - 2*o + 6 = -s*h, -4*o = -h + 36. Is h a multiple of 5?
False
Let i = 5 + -1. Is 13 a factor of (i - 2)/(3/39)?
True
Suppose 3*o + 56 = 4*l + o, 70 = 5*l - o. Is 5 a factor of l?
False
Suppose 2*t + 3*t + 895 = 0. Let k = t + 312. Suppose u + 4*u = -3*r + 145, k = 4*u - r. Does 18 divide u?
False
Suppose 8*u - 7*u = 58. Let c = u - 28. Is 13 a factor of c?
False
Let j(d) = d**2 + 9*d + 10. Is j(-10) a multiple of 5?
True
Suppose c + 4*c = 90. Suppose b = 2*b + c. Let m = -2 - b. Does 8 divide m?
True
Suppose -1 = 4*f - 9. Suppose -l = 2*w, 2*l + 3*w + 5 = -f*w. Is 4 a factor of l?
False
Suppose 0 = -5*r + 2*m + 65, -3*r - 5*m = -22 - 17. Does 3 divide r?
False
Let w = -20 - -32. Is w a multiple of 4?
True
Suppose -5*y + 696 = 3*v, 2*v = v - 3*y + 232. Suppose 4*a = 5*b - v, 4*b - 2*a = -3*a + 194. Does 2
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{
"pile_set_name": "DM Mathematics"
}
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fy (s*s/(s**(-2/17)*s)*s**(1/3))**(-41)/((s/(s*s/(s/(s/s**(1/4)*s))*s))**40)**(1/2) assuming s is positive.
s**(-229/51)
Simplify ((v*(v*v**(-7/2))/v*v**0*v)/(v**(-1/5))**(-1/14))**15 assuming v is positive.
v**(-159/7)
Simplify ((p*p*(p**(-1/8)*p)/p)/(p*p*p**(-7)))**(-1/62)*((p/p**(-3/2))/p*p**(-2/23))**(-27/5) assuming p is positive.
p**(-88313/11408)
Simplify ((p**(-1))**48*(p**1)**(6/7))/((p**(-2/7))**(7/2)/(p**(1/6)/p*p**(3/4)*p)) assuming p is positive.
p**(-3799/84)
Simplify ((f/(f**(-16)*f)*f**(6/7))/(f**(2/7)*f/((f/(f*f*f**0))/f)))**4 assuming f is positive.
f**(380/7)
Simplify h**3*h/(((h**(-4/3)/h)/h)/h)*(h/h**(-1))**26*(h**(-7)*h)/(h*h**(-7)*h*h)*(h**(-1/2))**45 assuming h is positive.
h**(215/6)
Simplify w**(-1/5)/(w*w**0)*(w/(w/w**5))/w*w*w**7*(w**(-2/17)*w**3/w)**(-13) assuming w is positive.
w**(-1162/85)
Simplify (u*u**(-12)*u**16/u*((u**7/u)/u*u)/(u**4*u*u))**(-1) assuming u is positive.
u**(-4)
Simplify ((q*q**(2/3))**(-4/5))**(-12/11)/(((q**(-3/5)*q)/q)/(q*q**(-6)/q))**11 assuming q is positive.
q**(-3187/55)
Simplify (((b/b**(-6))/b*b*b**1*b)/(b*b/b**(2/3))**(-35))/((b/b**(-2/7))**(-47)/(b**(-1/5)/(b*b*b**(1/7)*b))) assuming b is positive.
b**(11839/105)
Simplify (((i**(-2/11)*i)/i)/i**(-3))/(i**(-2/11)/(i**5*i))*i*i**(-2)*(i/(i/((i/i**1)/i)))/i*i*i**(-3)/((i/i**(-2/7))/i*i) assuming i is positive.
i**(19/7)
Simplify (((d**(3/37))**11)**(5/7))**(-7/9) assuming d is positive.
d**(-55/111)
Simplify (m**(1/13)/m*m/(m/m**(25/3)))/(m/m**(-3/4)*m*m/(m**(-1/3)/m)*m*m) assuming m is positive.
m**(17/52)
Simplify (q/q**(-6))/(q/(q**(-2/7)/q))*(q*q**2)/q*q*q/(q/q**(2/11))*(q**3/(q**6*q))**(-1/26) assuming q is positive.
q**(8058/1001)
Simplify ((i/i**(1/2))**(-3/8)*(i/((i/i**1*i)/i*i))**(-18))/((i**1*i)/(i**(1/4)/i)*(i/i**(2/15))/(i**(4/3)/i)) assuming i is positive.
i**(-833/240)
Simplify (p**(-10)*p**4*((p**21*p*p)/p)/p**(-1/5))**31 assuming p is positive.
p**(2511/5)
Simplify ((m**(-2/3))**(-10/3)*(m**(-1)/m*m)**(-5))/((m*m**(-2)/m)**28)**(-1/35) assuming m is positive.
m**(253/45)
Simplify (b**(2/5))**(-16)/(b**(1/3)/b*b**(-3/5))*(b*b**(-2/5)*b*b)**(-12)*(b*b**(-2/3))**(6/11) assuming b is positive.
b**(-1193/33)
Simplify (((d**(-2/11)*d)/(d*d**(-3/8)))/(d*d**0)**(5/6))/((d**(1/4))**38*(d/(d/d**(-1)))**(-2/107)) assuming d is positive.
d**(-286967/28248)
Simplify (((k/(k**(-2/3)/k))**(-14/5)/(k**(-1/3)*k)**(-39))**(-16/5))**(-18/13) assuming k is positive.
k**(26688/325)
Simplify ((t**0*t**29)/((t/t**(-21)*t)/((t/(t*(t*t**(2/23)/t*t*t*t)/t*t))/t)))**(-3/7) assuming t is positive.
t**(-132/161)
Simplify ((k/(k/(k/k**(2/15))*k))/(k**(-3)*k)*(k*k*k/((k*k**(-1/4))/k))/(k**(-6)*k))/((((k*k**(-2/3))/k)/k)**27)**21 assuming k is positive.
k**(57307/60)
Simplify ((m**3/(m*m/(((m/((m*m**(2/17))/m))/m)/m)*m*m)*((m/(((m*m**(-5))/m)/m*m*m))/m)/m**(-4/7))**(-29))**(-6/11) assuming m is positive.
m**(50808/1309)
Simplify (d**(1/5)/d*d*d*d/(d/(d*d**(7/3)/d))*d*(d/((d*d/d**7)/d))/(d*d**(2/3)))/(d**(-4/11)/((d/(d/d**(-2/3)))/d))**(-34/5) assuming d is positive.
d**(206/11)
Simplify ((((j*j/j**2*j)**10)**(-42))**(-2/7))**(2/137) assuming j is positive.
j**(240/137)
Simplify (g**2)**(-42/11)*g*g*g**(-3/5)*g*g*g**(-4)*g**(-1)*g**2*g*(g**(2/11)*g)/g*g**(-1) assuming g is positive.
g**(-388/55)
Simplify (q**(-3)*q)/(q*q*q*q**0)*((q/q**(-6)*q*q)/q)/q*q**(1/3)*q*((q/(q*q/q**(-4/3))*q)**(-42))**(-3/22) assuming q is positive.
q**(-142/33)
Simplify (m**3*m**2*m**7*m*m/(m*m**(-3/11)/m*m*m))/(m**(-1/7)*(m*m/m**(-1/3))/m*(m**1/m)**(-2/3)) assuming m is positive.
m**(2560/231)
Simplify ((n*n**22)/n**(4/3)*n**(1/81)*n**(-10/11))**(-2/11) assuming n is positive.
n**(-37012/9801)
Simplify ((r/(((r/r**(2/5)*r)/r)/r))**(3/11)/(r*r/r**24)**(-6))**(-10) assuming r is positive.
r**(14478/11)
Simplify ((x/x**2)/(x/(x*x**(-2)*x)))**(-1/6)/((x**(1/3)/((x*x/(x/(x/x**(4/3)*x))*x)/x*x))/(x**(1/4))**(11/5)) assuming x is positive.
x**(193/60)
Simplify v**(2/11)*v/(((v**4*v)/v)/v)*(v*v*v*v**0*v)**(-22)*(v*v/(v**6/v))/((v**(-1/11)*v)/v)*(v*v*v**(3/2))/v**(-3) assuming v is positive.
v**(-1897/22)
Simplify (((((s*s/((s/(s**(-2/41)*s))/s)*s*s)/s)/s)/s**(-3/8))/(s**(-1/7))**(-11/5))**(-4/15) assuming s is positive.
s**(-34577/43050)
Simplify ((y**0*y)**24)**(-2/93)/((y**(-2/7))**(-5)/(y**2*y**(-5))) assuming y is positive.
y**(-1073/217)
Simplify ((v**(-1/6)*v*v*v*v**(-9)*v*v**4/(v/((v**6/v)/v)))**(-4))**(-2/37) assuming v is positive.
v**(44/111)
Simplify (w/w**(-1/3)*w**6)/(w**1)**(-4/15)*((w**(-1/2)/w)/((w/((w**(1/6)*w)/w))/w))/(w/(w/w**(-1/2)))**34 assuming w is positive.
w**(349/15)
Simplify ((z/(z/(z*z**(-1)*z))*z/z**(-5/4))/(z**3*z**(-2/29)))**(-32) assuming z is positive.
z**(-296/29)
Simplify (((s/s**(-3/5))/s**0)/(s**0*s**(-6)*s))/((s**4/s)/(s*s**(2/5)))**(-3/4) assuming s is positive.
s**(39/5)
Simplify (m**(4/3)*m**(-2)/m*m*m*((m/(m/(m/m**5)))/m*m)/(m/(m*m**(-2/9))))/(((m**(-1/12)/m)/m)/((m*m**(2/9))/m))**9 assuming m is positive.
m**(607/36)
Simplify (((z/(z/z**(2/37)*z))/z)/(z*z/(z/((z*z**(2/11))/z))*z*z*z))**(1/13)/((z**(-8)/z)/(z*(z/(z*z**(2/5)))/z))**(2/53) assuming z is positive.
z**(-205884/1402115)
Simplify o**(-8)/o**2*(o**(-1/5))**(-10)*(o**(-6)*o**(-2/3))/(o**2)**(-31) assuming o is positive.
o**(142/3)
Simplify (p*p**(2/95)*p**5*p*p**(-28)*p**13*p)**(1/14) assuming p is positive.
p**(-663/1330)
Simplify (o**4*o/o**(-2/9)*o*o)/(o**0)**(-11)*((o**(2/19)/o)/o*o*o/o**(-2/3))**(-47) assuming o is positive.
o**(-4969/171)
Simplify (j**0*j)/j**(-5)*j**(-3)/(j/(j/(j/(j*j**(2/9)*j))))*j**(3/5)*(j*j/j**4)/j*j**0*(j/(j**(2/13)*j))/j assuming j is positive.
j**(391/585)
Simplify ((u**(2/9)*u**1)/(u**(-2/7))**(-8))/(u**(-2/3)*u**9/u)**(-4/13) assuming u is positive.
u**(977/819)
Simplify ((y**(1/3)/(y/(y/(((y**(1/3)/y*y*y)/y)/y*y)*y)*y*y*y)*((y/(y/(y/y**(-1/3))*y*y))/y)**(-29))**(-16))**(-36/7) assuming y is positive.
y**(26688/7)
Simplify ((v/v**(2/5))/v)**(34/3)*v*v**(-3/5)*v/v**0*(((v**(2/5)*v)/v*v)/v)**(-1/44)*v**(-3)*v/(v**(-1/3)/v)*v assuming v is positive.
v**(-309/110)
Simplify ((y**(-5/2)*y*y**28*y)/(y**(5/8))**(-39))**(-4/23) assuming y is positive.
y**(-415/46)
Simplify (((((a/a**(2/13))/a*a)/((((a**(2/5)/a*a)/a)/a*a)/a))/(a**5*a*a**(2/15)))**(-1/23))**(-12) assuming a is positive.
a**(-2876/1495)
Simplify s**(-36)*s**9*s*s/s**(1/18)*s**(-5/6)/s*s*s assuming s is positive.
s**(-224/9)
Simplify f/f**(-2/15)*f**2*f**(1/2)/(f*f/(f*f*f**(1/2))*f)*((f*f**(-2/3))/f**(-1))/((f*f**(1/5)*f)/(f/(f*(f/((f**3*f)/f))/f*f))) assuming f is positive.
f**(64/15)
Simplify (((q**(2/7)/q*q)/(q/(q**(-1/3)/q))*((q/q**(-4/5)*q*q*q)/q)/(q/q**(-3)))**(-1/24))**(-31) assuming q is positive.
q**(-1829/630)
Simplify ((((w*w/(((w/w**5)/w*w)/w))/w)/w*w*w)/(w/w**(-4/3)))**(-32)*(w**(-2/13)*w/(w/((w*w**(-1/10)/w)/w)))**(-2) assuming w is positive.
w**(-28631/195)
Simplify (((o*o/o**(-10/9))/o)/((o/o**(4/27))/o))/(o**(-25)/o*o*o**(6/11)/o) assuming o is positive.
o**(8231/297)
Simplify (a/((a/a**(-9/11))/a)*a**(-3/8))/(a/a**36*a*(a**(-1/6)*a)/a) assuming a is positive.
a**(8969/264)
Simplify ((l**(1/2)/l)/((l**(-1/17)/l)/l*l*l))**38/(l**(2/35)*l*l**(-1)*l**(-5)/(l/(l*l/l**(-6)*l*l*l))) assuming l is positive.
l**(-12984/595)
Simplify j**(1/16)/((j*j/(j**(-19)*j))/j)*j**(-43)*j*j**1/j assuming j is positive.
j**(-975/16)
Simplify (h**(-1))**23/(h**(-3)/h*h/(h*h*h*h**(-3)*h))*(h**0)**(-2/11)/((h*h/(h*h**(-2)*h*h))/(h*h/(h/(h*h*h/((h**(2/19)/h)/h)))*h)) assuming h is positive.
h**(-249/19)
Simplify f**(-4)/((f*(f/(f**(-2/3)*f)*f)/f*f)/f)*(f*f*f**(1/2)*f)/f**(3/5)*((f*f*f**(1/13))/(f**7/f))/(f**(1/7)/(f/f**(-1/13))) assuming f is positive.
f**(-15713/2730)
Simplify (f**(-11/4)/f**5*f**14/((f*f/(f*f*(f*f**(2/7)/f)/f))/f*f))**(-5/9) assuming f is positive.
f**(-775/252)
Simplify ((h**(-4))**(18/5)/(h**(-6/13)*h*h**(-2/9)))**33 assuming h is positive.
h**(-94699/195)
Simplify (i**(1/2)/i**(-4))**(-42)*(i**6*i*i/((i/((i*i*i**1*i)/i))/i*i)*i*i)/(i/((i/(i/i**(4/5)))/i)*i**(-3/5)) assuming i is positive.
i**(-888/5)
Simplify (p/p**(-6)*p/p**(-1)*p)**(-12)*(p**(-1/7)/(p*(p*p/(p*p**(-4/5)))/p*p))**45 assuming p is positive.
p**(-1767/7)
Simplify (z**(-5)*z**(-7))/((z*z**0/z)/z*z)**(-50)*(z**1)**(-44)*z**(-2/7)/z**(2/19) assuming z is positive.
z**(-7500/133)
Simplify (f**(3/5)*f*f*f*f*f*f**3)**(1
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{
"pile_set_name": "DM Mathematics"
}
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32, -3*g + 40 = 5*k. Suppose -4*c + 2 = -2*c, 0 = -4*d + c + g. Let o(h) = -6*h**2. Let r(x) = -5*x**2. Give d*o(j) - 5*r(j).
j**2
Let i(x) = -4*x**3 - x - 2. Let u be 1 - 1 - (-7 + 5). Let s(p) = -14*p**3 + p**3 - 5 - p + 4*p**3 - u*p. Determine -5*i(z) + 2*s(z).
2*z**3 - z
Suppose -28 + 13 = -3*k. Let s(r) = -2*r**2 + 5*r - 5. Let g(n) be the first derivative of n**2/2 - n + 9. Calculate k*g(p) - s(p).
2*p**2
Let p(a) = 4*a**2 + 7*a - 5. Suppose -5*j + 30 = w, 3*w + 2*j - 37 = 14. Let u(c) = 4 + 6 - 9*c**2 - w*c + 1. Determine -13*p(g) - 6*u(g).
2*g**2 - g - 1
Let a(x) = -x**3. Let c(w) be the second derivative of w**5/4 - w**3/6 - 44*w. Calculate -6*a(u) - c(u).
u**3 + u
Let l(b) = -b**2 + b + 4. Let j(u) = 2*u**2 - 2*u - 11. Suppose 0 = -m - 3*m - 32. Give m*l(p) - 3*j(p).
2*p**2 - 2*p + 1
Let g(j) = j**3 - 2*j**2 - j - 1. Let h(m) = -m**2 - m + 1. What is -g(c) - h(c)?
-c**3 + 3*c**2 + 2*c
Let h(f) = -f**2 - 6*f - 46. Let q(i) = -i**2 - 7*i - 47. Calculate -6*h(l) + 5*q(l).
l**2 + l + 41
Let g = 17 + -19. Let b(p) = 1. Let d(h) = -h + 2. Give g*d(v) + 3*b(v).
2*v - 1
Let q(l) = -3*l**3 - 4*l**2. Let k(r) be the third derivative of r**5/60 - 4*r**2. Determine -4*k(o) - q(o).
3*o**3
Let l(z) = -z - 3. Let q be l(-7). Let w(k) = k**2 - 2 + 3*k**2 + k - q*k - 3*k. Let a(c) = -9*c**2 + 13*c + 4. Give 6*a(j) + 13*w(j).
-2*j**2 - 2
Let m(z) = z**2 + 6*z - 6. Let y(o) = -2 + 2 - 3 + 2 + o. Give m(v) - 5*y(v).
v**2 + v - 1
Let p(r) = -r**2 - 4*r - 3. Suppose 2*s - q - 49 = -2*s, 0 = -s + q + 10. Let o = 5 - 2. Let c(k) = -2*k - 8*k**2 - 15*k - s + o*k**2. Give 2*c(w) - 9*p(w).
-w**2 + 2*w + 1
Let u(v) = v**2 + 5*v - 5. Suppose 19 = 2*x - 5*k + 2*k, 5*k = -x + 3. Let i(z) = -7*z + x + 1 - z**2 - 3 + 1. Let y be 3/2*20/6. What is y*i(w) + 7*u(w)?
2*w**2
Let z(m) = 3*m**3 + 3*m**2. Suppose 0 = 2*d - 3*n + 20, 2 = -2*n + 6. Let w(i) = -6*i**3 - 7*i**2. Calculate d*z(o) - 3*w(o).
-3*o**3
Suppose -4*g + 80 = -o, -2*g - 7 = -3*g - 3*o. Suppose -g = -5*u + 1. Let m(t) = t - 1. Let j(r) = -2 - 3 + 2 + 4*r. Give u*j(d) - 14*m(d).
2*d + 2
Let f(m) be the second derivative of m**3/6 + 3*m**2 + 47*m. Let j(r) = -r - 6. Determine 5*f(g) + 4*j(g).
g + 6
Let p(a) = 8*a**3 + a**2 - 6*a - 5. Let b(g) = -7*g**3 - g**2 + 5*g + 4. Suppose -8*w - 54 = -6. Determine w*b(c) - 5*p(c).
2*c**3 + c**2 + 1
Suppose -q + 6 = -0*q. Let l(o) = o**3 + 7*o - 6. Let c(m) = 2*m**3 + 7 - 2*m**3 - 8*m - m**3. What is q*c(v) + 7*l(v)?
v**3 + v
Let a = -35 + 69. Let k(s) = 11*s**2 + 17*s. Let x(g) = -2*g**2 - 3*g. Let y(t) = t + 3. Let q be y(3). What is a*x(w) + q*k(w)?
-2*w**2
Let t(m) = 3*m**2 + 4*m + 5. Let g(b) = 7*b**2 + 9*b + 11. Give -4*g(p) + 9*t(p).
-p**2 + 1
Let t(q) = 2*q**3 - 5*q**2 - 7*q + 2. Let v(b) = b**2 + b. Suppose w - j = j + 7, 0 = 3*w + 5*j + 23. What is w*t(p) - 5*v(p)?
-2*p**3 + 2*p - 2
Let g = -159 + 170. Let s(v) = -10*v + 4. Let d(k) = 2*k - 1. What is g*d(w) + 2*s(w)?
2*w - 3
Let h(q) = 14*q**2 + 8*q + 17. Let b(g) = -38*g**2 - 12*g - 24. Let l(k) = 9*k**2 + 3*k + 6. Let p(c) = -2*b(c) - 9*l(c). What is 6*h(n) + 17*p(n)?
-n**2 - 3*n
Let q(d) = 3*d**3 + 2*d**2 + 2*d - 2. Let g(l) = -l**3 - l**2 - l. What is 2*g(s) + q(s)?
s**3 - 2
Let y(p) = 1. Suppose -41*h - 12 = -39*h. Let k(s) = -3*s - 5. What is h*y(f) - k(f)?
3*f - 1
Suppose 5*r = 4*k + 18, 2*k = -5*r - 2*k + 2. Suppose 0 = r*y + 15 - 7. Let s(b) = 3*b + 2. Let j(u) = 4*u + 3. Calculate y*j(l) + 5*s(l).
-l - 2
Let w(s) = 5*s**2 + 9. Let n(d) = 3*d**2 + 5. Determine -11*n(o) + 6*w(o).
-3*o**2 - 1
Let r(h) = 6*h + 4. Let g(i) = i - 1. Give -5*g(c) - r(c).
-11*c + 1
Let c(r) be the second derivative of r**5/5 - r**4/12 - r**3/3 + 2*r. Let p(y) = y**3. Let z(i) = -i**2 + 6*i - 3. Let h be z(6). Determine h*p(j) + c(j).
j**3 - j**2 - 2*j
Let j(x) = 26*x**2 - 16*x - 4. Let l(s) = 5*s**2 - 3*s - 1. Calculate 3*j(t) - 16*l(t).
-2*t**2 + 4
Let z(s) = -5*s - 2. Let d(n) = 10*n + 5. Give 2*d(h) + 5*z(h).
-5*h
Let j(q) be the first derivative of -5*q**2/2 + 3*q + 49. Let c(y) = 4*y - 3. Give -3*c(p) - 2*j(p).
-2*p + 3
Let i(j) = 2*j. Let h(u) = 6*u. Determine -3*h(o) + 8*i(o).
-2*o
Let d(v) = -2*v**2 + 5*v - 5. Let w(s) = -3*s + 2 - 1 + 2 + 0 + s**2. Let m = -8 - -4. Let b be -9 + 1 - (m - -2). Determine b*d(y) - 10*w(y).
2*y**2
Let v(r) = -3*r**2 - 2*r + 5. Suppose 3*m + 8 = -7. Let k(s) = -6*s**2 - 3*s + 9. Calculate m*v(z) + 3*k(z).
-3*z**2 + z + 2
Let a(w) = -w**3 - 1. Let q(f) = -2*f - 25. Let t be q(-12). Let h(u) = u**3 - 2*u**2 - 1. Calculate t*h(i) + a(i).
-2*i**3 + 2*i**2
Let p(i) = -i**2 - 9*i. Let b(d) = 2*d**2 + 9*d. Give -2*b(m) - 3*p(m).
-m**2 + 9*m
Let n(q) = -q**2. Let z(s) = 2*s**2 - s + 1. Calculate -5*n(v) - 2*z(v).
v**2 + 2*v - 2
Let g(w) = -w - 1. Let t(p) = 4*p + 6. Give -5*g(k) - t(k).
k - 1
Let z(i) = i. Let u(b) = 3*b. Suppose 3*a - 8*a - 15 = -3*j, 4*a - 3*j + 9 = 0. What is a*z(w) + 3*u(w)?
3*w
Let k(h) = -h**2 - 7*h - 16. Suppose -4*v - 4*w - 4 = 0, 2*v + v + 7 = w. Let u(b) = -b - 5. Let a(y) = -y. Let x(m) = a(m) + u(m). What is v*k(f) + 7*x(f)?
2*f**2 - 3
Let j(d) = 5*d**2 - 16*d - 21. Let o(v) = v**2 - 3*v - 4. What is -2*j(x) + 11*o(x)?
x**2 - x - 2
Let x(a) = -a**2 + a + 1. Let m(c) = -4*c**2 + 3*c + 3. Let p = -15 - -22. Suppose -3*r - 2 = p. Let l be r/2*(2 - -2). What is l*x(d) + 2*m(d)?
-2*d**2
Let n(g) = -6*g**2 + 4. Let w be (-4)/(-3)*3/2. Let m(v) = -3*v**2 + 2. Give w*n(p) - 5*m(p).
3*p**2 - 2
Let z(j) = 17*j + 1. Let c(y) = 35*y + 2. Determine 3*c(v) - 7*z(v).
-14*v - 1
Let m(h) = h + 4. Let x(k) = 3. Let t(c) = 10. Let a(w) = 2*t(w) - 7*x(w). What is 6*a(g) + m(g)?
g - 2
Let g(s) = -4*s**3 - 2*s**2. Let r(f) = -3*f**3 - 101*f**2 + 16*f**3 + 108*f**2. Determine 21*g(l) + 6*r(l).
-6*l**3
Let n be 8/6 + (-28)/12. Let i be (-24)/(-14) - (-2)/7. Let k(w) = 2 - i + 1. Let x(y) = y**2 + 6. What is n*x(b) + 5*k(b)?
-b**2 - 1
Let o(v) = -v**3. Let a(w) = 2*w**3 - 5*w**2 + 2*w. Calculate a(z) + 3*o(z).
-z**3 - 5*z**2 + 2*z
Let l(j) = 10*j**2 + 2*j - 2. Let n(t) = -41*t**2 - 9*t + 9. Give 9*l(o) + 2*n(o).
8*o**2
Let o(z) = -51*z**3 - 21. Let n(i) = i**3 + 13*i**2 + 10*i - 3. Let p be n(-12). Let q(x) = -5*x**3 - 2. What is p*q(a) - 2*o(a)?
-3*a**3
Let w(m) = -3*m**2 + 2*m + 4. Let r(a) = -4*a**2 + 3*a + 5. Let c = -8 + 14. Let t be (-5)/2*c/(-5). Determine t*w(y) - 2*r(y).
-y**2 + 2
Let t(o) = o**3 - 4*o**2 + 4*o. Let n(i) = i**2 - i. Let u be ((-5)/(-2))/((-4)/(-8)). Let x = -1 + u. Calculate x*n(p) + t(p).
p**3
Let v(o) = -2*o**2 + 3*o - 4. Let c(j) = -2*j**2 + 3*j - 5. Let a = 11 + -6. What is a*v(m) - 4*c(m)?
-2*m**2 + 3*m
Let a be ((-8)/(-12) - 0)*(-99)/(-6). Let i(s) = 17*s - 15. Let t(x) = 6*x - 5. What is a*t(f) - 4*i(f)?
-2*f + 5
Let i(j) = -6. Let h(d) = -d**3 - 31*d**2 + d + 14. Let b be h(-31). Let l(y) = y**2 + 17. What is b*i(u) - 6*l(u)?
-6*u**2
Let f(c) be the third derivative of 0*c + 0 + c**2 + 1/6*c**3. Let y(q) = q**2 + 1. Give 2*f(i) - 2*y(i).
-2*i**2
Let x(z) = 2*z**3 - 3*z**2 - 2. Let q(u) = 5*u**3 - 7*u**2 - 4. Calculate 6*q(j) - 13*x(j).
4*j**3 - 3*j**2 + 2
Let u(t) = 3*t**2 - 1. Let v = 3 - 5. Let h(s) = s**2. Let f(l) = v*u(l) + 4*h(l). Let d(k) = -2*k**2 - k + 3. Calculate 2*d(y) - 3*f(y).
2*y**2 - 2*y
Let b be 14/7 - 1*-1. Let z(h) = -11*h**3 + 5*h**2 - 5*h - 5. Let s(q) = -6*q**3 + 3*q**2 - 3*q - 3. Determine b*z(g) - 5*s(g).
-3*g**3
Let y(n) = -n - 1. Let p be y(-5). Suppose 2 = -5*v - 3*s, s + 2 + p = v. Let z(t) = -t - 4 + 3 + v. Let r(d) = -2*d + 1. Calculate r(l) - z(l).
-l
Let n(r) be the first derivative of -r**4/2 + 3*r**2/2 - 4*r + 2. Let p(q) = -q + 4. Let g(b) = b - 3. Let i(s) = 3*g(s) + 2*p(s). Give -2*i(f) + n(f).
-2*f**3 + f - 2
Let k(p) be the third derivative of p**4/24 - p**3/6 - p**2. Let a(b) = -b**3 - 6*b**2 - 6*b + 3. Let j be a(-4). Let t(m) = -2*m + 3. What is j*k(i) - 2*t(i)?
-i - 1
Let d(o) = 17*o**3 + 11*o + 11. Let q(w) = -6*w**3 - 4*w - 4. Let k be (-3)/(-6) + 3/6. Suppose -n = -3*g - 8, -n + 13 + k = 3*g. Give n*q(r) + 4*d(r).
2*r**3
Let l(m) = 2 + 2 + 2*m**3 - 3 - 3*m + 3*m**2 + 2. Let c(i) = -i**3 - 2*i**2 + 2*i - 2. Give -3*c(b) - 2*l(b).
-b**3
Let t(q) = 3*q**3 + 4*q**2 - 4*q. Let p be 8 + 17 - (1 + 0). Let o(n) = 7*n**2 - 18*n**3 + 0*n**2 - 7*n + p*n**3. Determine -4*o(b) + 7*t(b).
-3*b**3
Let a be 14/(-8) - (-1)/
|
{
"pile_set_name": "DM Mathematics"
}
|
order.
-42, -16.6, -2/5, 1/2, 1257
Put 0.1, 24, -28394 in increasing order.
-28394, 0.1, 24
Put -56/27, -43, -4, 0, -5 in decreasing order.
0, -56/27, -4, -5, -43
Sort -3, -162, -1, -5, 5, 8178.
-162, -5, -3, -1, 5, 8178
Sort 2, -4, 5, 26, -2, -88, 1 in ascending order.
-88, -4, -2, 1, 2, 5, 26
Sort -3, 1, 684, -1, 5, 4, -284.
-284, -3, -1, 1, 4, 5, 684
Put -1/4, -0.1, -24, 2/19, -138.8 in ascending order.
-138.8, -24, -1/4, -0.1, 2/19
Put 6, 1/5, 30, 0.3, 1/2, -0.57 in increasing order.
-0.57, 1/5, 0.3, 1/2, 6, 30
Sort 19, 141, 743, -1, 5, 3, -4 in ascending order.
-4, -1, 3, 5, 19, 141, 743
Put -0.2, -3/4, -883, 55.864 in ascending order.
-883, -3/4, -0.2, 55.864
Put 5, 56/19, -2, -2/43, 1/12 in ascending order.
-2, -2/43, 1/12, 56/19, 5
Sort 157, -3/5, -0.0446, -1/53 in decreasing order.
157, -1/53, -0.0446, -3/5
Sort -14, -156, 17468, -4 in descending order.
17468, -4, -14, -156
Sort 4, 23017887, -7 in decreasing order.
23017887, 4, -7
Put 5, -0.1, -4, 1, 1983, 3.3 in increasing order.
-4, -0.1, 1, 3.3, 5, 1983
Sort -3418, 238, 0.04, 2/3, 1 in decreasing order.
238, 1, 2/3, 0.04, -3418
Put -112, -1, 187, 8 in increasing order.
-112, -1, 8, 187
Sort 0, -17.1, 5, 8/7, 1.3, -1/4 in increasing order.
-17.1, -1/4, 0, 8/7, 1.3, 5
Sort -0.3, 38, -1, 0.5, 856, 1 in decreasing order.
856, 38, 1, 0.5, -0.3, -1
Put -0.01, 1271, 12, 8, -1/5 in ascending order.
-1/5, -0.01, 8, 12, 1271
Sort -3, -2441551, 5, 3.
-2441551, -3, 3, 5
Sort 10, 1/2, 15, 10/21, 24, -1.
-1, 10/21, 1/2, 10, 15, 24
Put -2/15, 127, -4472, -2 in descending order.
127, -2/15, -2, -4472
Sort -475, -1, 116967, 5.
-475, -1, 5, 116967
Sort 75, -8, -37388, -2.
-37388, -8, -2, 75
Put -66/5, -67/120, -2, 0.5 in descending order.
0.5, -67/120, -2, -66/5
Put 13, 2/7, -27, 0, -0.165 in increasing order.
-27, -0.165, 0, 2/7, 13
Put 9, -5, 36, -1, 0.3, -2.996 in decreasing order.
36, 9, 0.3, -1, -2.996, -5
Sort -437, 0, -165, -4, 12 in increasing order.
-437, -165, -4, 0, 12
Put 9, 21326, 0, 2, 4, -4 in decreasing order.
21326, 9, 4, 2, 0, -4
Sort -0.5, -2/5, 67570, -8.
-8, -0.5, -2/5, 67570
Sort -25, 1, -2, 4, 17, 0, 145.
-25, -2, 0, 1, 4, 17, 145
Sort 0, 83, 3, -259, -2, 2.
-259, -2, 0, 2, 3, 83
Sort -1/2, 4, 1, -1, -2/7, 0.0412 in ascending order.
-1, -1/2, -2/7, 0.0412, 1, 4
Sort -2, -3, -24, 53447 in increasing order.
-24, -3, -2, 53447
Put 4, -1, 6, -5, -59, 230 in increasing order.
-59, -5, -1, 4, 6, 230
Put -6, 5, 59864 in decreasing order.
59864, 5, -6
Sort -164, 6132, -3, 4, 13 in descending order.
6132, 13, 4, -3, -164
Sort 0.2, -0.3, -882, -76, 0.1, 1 in increasing order.
-882, -76, -0.3, 0.1, 0.2, 1
Put -1/5, -4447510, 0.2, -0.4 in descending order.
0.2, -1/5, -0.4, -4447510
Sort 0.680375, 0.09, 2 in decreasing order.
2, 0.680375, 0.09
Sort 23, -96, 1, 3, -3, 4.
-96, -3, 1, 3, 4, 23
Sort -33756, -66, 66 in descending order.
66, -66, -33756
Put 1, -29, 0, -1, 4860, -10 in decreasing order.
4860, 1, 0, -1, -10, -29
Put -3, -0.119223, -9/4 in decreasing order.
-0.119223, -9/4, -3
Sort -3, 1, -242867 in descending order.
1, -3, -242867
Sort 763, -36, 11.
-36, 11, 763
Put -63.55093, 1/8, 3 in descending order.
3, 1/8, -63.55093
Sort -25.7, 1235, -89 in descending order.
1235, -25.7, -89
Sort -4, 2, 8560 in decreasing order.
8560, 2, -4
Sort -67, -4, 40008 in ascending order.
-67, -4, 40008
Put 10417, 5, 0, -32 in increasing order.
-32, 0, 5, 10417
Put -4/123, 0.2, 14/15, -4, -0.3 in decreasing order.
14/15, 0.2, -4/123, -0.3, -4
Sort 4, -1/450, 0, -4, 238, 8 in increasing order.
-4, -1/450, 0, 4, 8, 238
Sort -2, 6047, 3, -4, 17, 2, -3.
-4, -3, -2, 2, 3, 17, 6047
Sort -11, -29, -90, 193.
-90, -29, -11, 193
Put -0.2, -3, 13759510 in decreasing order.
13759510, -0.2, -3
Sort 15, 0, 1, -38, 810, 18 in descending order.
810, 18, 15, 1, 0, -38
Sort 1, 0, -18415, -1 in descending order.
1, 0, -1, -18415
Sort 4, -2, -40942496.
-40942496, -2, 4
Sort 0.3, -4, -0.27, 0.2, -26757 in ascending order.
-26757, -4, -0.27, 0.2, 0.3
Put -509733, -70, 3, -2/5 in increasing order.
-509733, -70, -2/5, 3
Put 5, 2, 34, -12, -3, 7 in increasing order.
-12, -3, 2, 5, 7, 34
Put -2743, 332/5, -1/7, 0.3 in increasing order.
-2743, -1/7, 0.3, 332/5
Sort -2746/23, -6, -34.
-2746/23, -34, -6
Sort 56912, -7, -642 in descending order.
56912, -7, -642
Sort 2, -13, 4, -8, 1, -3, 0 in descending order.
4, 2, 1, 0, -3, -8, -13
Sort 2/307835, 1, -24, -13 in decreasing order.
1, 2/307835, -13, -24
Sort -6, 3, 21, 6, 1, -7, 0.
-7, -6, 0, 1, 3, 6, 21
Sort 941, 0, 4, -305, 1, -3.
-305, -3, 0, 1, 4, 941
Sort 334701, 5, 193 in increasing order.
5, 193, 334701
Sort 0.5, -5, -92, 3/8, 3, 7.33.
-92, -5, 3/8, 0.5, 3, 7.33
Put -35, 1/3, -14384, 3 in increasing order.
-14384, -35, 1/3, 3
Sort -2, -14, 4, -5, 1478, -22.
-22, -14, -5, -2, 4, 1478
Put 5759, -1, 9337 in decreasing order.
9337, 5759, -1
Put -0.349, -41, 1, -11 in ascending order.
-41, -11, -0.349, 1
Sort -3, 3, 4, 50733, 0.
-3, 0, 3, 4, 50733
Sort 3, 140, -2/17, 0.4, 4, 3500 in increasing order.
-2/17, 0.4, 3, 4, 140, 3500
Sort -553385124, 2/5, 5.
-553385124, 2/5, 5
Sort -493, -62, 1, -3, -5, 0, -4 in decreasing order.
1, 0, -3, -4, -5, -62, -493
Sort 2/5, 431.61, -3.1, 3/7 in increasing order.
-3.1, 2/5, 3/7, 431.61
Sort 5, -21/304, 3/8, -1/5 in decreasing order.
5, 3/8, -21/304, -1/5
Put 1, 4, -131, -6, -253, 2 in decreasing order.
4, 2, 1, -6, -131, -253
Put 1/5, -4, 0.01, -637, 10 in descending order.
10, 1/5, 0.01, -4, -637
Sort 0, 23068, 1807, -2.
-2, 0, 1807, 23068
Sort -5, 19.9, -37, -22.
-37, -22, -5, 19.9
Sort 1433, 27936, 0.
0, 1433, 27936
Put 744, -4, 1, -451 in decreasing order.
744, 1, -4, -451
Put 3, -6614, 1, 0.4, -3/19 in descending order.
3, 1, 0.4, -3/19, -6614
Put 1, 4, -74, -8, -77 in descending order.
4, 1, -8, -74, -77
Put -715079, 1/3, 0.5 in descending order.
0.5, 1/3, -715079
Sort 31/34, 2, -117/2 in decreasing order.
2, 31/34, -117/2
Put 3, 105, -37, -210, 2 in ascending order.
-210, -37, 2, 3, 105
Sort -21/2, -0.2406, 56 in ascending order.
-21/2, -0.2406, 56
Sort 98078, 3, 2, -20 in ascending order.
-20, 2, 3, 98078
Put -3, 1884, -8, -4, -27 in increasing order.
-27, -8, -4, -3, 1884
Put 3, 42064, -5, -2, -11 in ascending order.
-11, -5, -2, 3, 42064
Put -3, -21231, -2.739 in descending order.
-2.739, -3, -21231
Sort 4, -2270643, 1.
-2270643, 1, 4
Put -15, 1, 2, 167, -67, 8 in descending order.
167, 8, 2, 1, -15, -67
Sort -3, -327, -5, 2, 8, 3, -2 in increasing order.
-327, -5, -3, -2, 2, 3, 8
Put 30803, 4, 1512 in decreasing order.
30803, 1512, 4
Put -0.03, 2/9, -194/3175, 4 in ascending order.
-194/3175, -0.03, 2/9, 4
Put -4, 0, 4, 2, -23, -239, 1 in ascending order.
-239, -23, -4, 0, 1, 2, 4
Sort 0.4, -5, 3, -7146, 2/97 in descending order.
3, 0.4, 2/97, -5, -7146
Sort -21/593, -145, -7 in descending order.
-21/593, -7, -145
Sort -4, -41, -0.3, 0.1, 645, 2/5 in descending order.
645, 2/5, 0.1, -0.3, -4, -41
Put -361, -0.2, 34.5 in decreasing order.
34.5, -0.2, -361
Put 0.00465, -4, -38 in increasing order.
-38, -4, 0.00465
Sort -8077.5, -2, -387 in descending order.
-2, -387, -8077.5
Sort -8, 8, 0, 3, 13, -2, 128.
-8, -2, 0, 3, 8, 13, 128
Sort 429, 9, 2, 2946.
2, 9, 429, 2946
Sort 9, -5, -27, 1658 in decreasing order.
1658, 9, -5, -27
Sort -3, 2, 5793, 13 in decreasing order.
5793, 13, 2, -3
Put -1, -30991, -4, -3, -2 in increasing order.
-30991, -4, -3, -2, -1
Sort -3, 0.7, -21, -3488 in ascending order.
-3488, -21, -3, 0.7
Put 4, -4, -293947, 0, -214 in increasing order.
-293947, -214, -4, 0, 4
Sort 0, -392, -22, 6.
-392, -22, 0, 6
Put -6237, 2, 4, -1111, -3 in increasing order.
-6237, -1111, -3, 2, 4
Sort 2/67, 2, 43, 293, 30.
2/67, 2, 30, 43, 293
Sort 1243, 3, 4, 1, 0, -100 in increasing order.
-100, 0, 1, 3, 4, 1243
Put 0, -158, 406995 in ascending order.
-158, 0, 406995
Put -9, -19, 2, 1, 4, 3, -14 in ascending order.
-19, -14, -9, 1, 2, 3, 4
Sort -62, -9, 2/7, 88, -0.008 in descending order.
88, 2/7, -0.008, -9, -62
Sort 2, -6, 199010, -2 in increasing order.
-6, -2, 2, 199010
Put -4.3, 12, 1.1999 in descending order.
12, 1.1999, -4.3
Sort -1845.7, -0.25, 0.1, 0.5, 5.
-1845.7, -0.25, 0.1, 0.5, 5
Put -1466, 0.4, 1/4, -0.34, 1 in descending order.
1, 0.4, 1/4, -0.34, -1466
Sort 6399, 0.73, 70.
0.73, 70, 6399
Sort -2, 16/25, 4, -3,
|
{
"pile_set_name": "DM Mathematics"
}
|
7.24612821 and 36.
25563.24612821
What is 0.138834 + 1154209.35?
1154209.488834
Sum 0.0044496 and -0.0468701382.
-0.0424205382
Subtract -0.727 from -1740072499.
-1740072498.273
What is -0.4 plus 161598486317?
161598486316.6
-16817557332+8.34
-16817557323.66
Work out -616 - -25640732150.
25640731534
What is the difference between 4927867910 and -0.495?
4927867910.495
-0.1059+-126555439.334
-126555439.4399
-1927293236037 + -9
-1927293236046
Put together -40875813 and -36824.
-40912637
Add together 112 and 3832097.63589.
3832209.63589
Calculate -7499333627 + 10.4.
-7499333616.6
What is -766849502 less than -8642?
766840860
1124.1+-47282101429
-47282100304.9
-1389261.64+302462
-1086799.64
What is -47.6 + -1295236331?
-1295236378.6
What is -0.21209 minus 17924945?
-17924945.21209
What is the distance between 27623 and -1214.42076?
28837.42076
-1776894 - 1172928.68
-2949822.68
Work out -27.3149954 - 19094.9.
-19122.2149954
-32.8681 - 2042677
-2042709.8681
What is the difference between 123.15 and -50116374?
50116497.15
What is the distance between -148.2458 and -1657086.4?
1656938.1542
Total of 3 and 108749516204142.
108749516204145
What is the distance between -8961989238 and 2386?
8961991624
What is -8 - 1171241323341?
-1171241323349
What is -0.009 - 181955.631315?
-181955.640315
Put together -2.61 and 8320653805.
8320653802.39
What is the difference between -8651171 and 32334?
8683505
Sum 17 and 16230037999901.
16230037999918
Total of -16012138 and 12.931.
-16012125.069
What is -1642367 minus -53225?
-1589142
What is -338839316 plus -10326.39?
-338849642.39
Sum 4 and 4.02530826298.
8.02530826298
What is 300682 plus -792350074?
-792049392
27.672 - 2251420.88
-2251393.208
Total of -5.6307 and 3.39157321.
-2.23912679
Subtract -3783106 from 0.8936.
3783106.8936
Work out 14.932239140434 + -1.
13.932239140434
-0.01 - 222287034350.95
-222287034350.96
What is the distance between 42137.21193 and 0.1463?
42137.06563
What is 1171643 take away 0.1644439?
1171642.8355561
Calculate -7 + -0.006314630376772.
-7.006314630376772
Calculate -80308 - 274690724.
-274771032
What is 304 minus -11652092970?
11652093274
Add together -8195.54365 and 3.78.
-8191.76365
What is the difference between -19 and 384548607.4?
384548626.4
What is the distance between 31117807488561 and -1?
31117807488562
Work out 8986083 + -0.203331.
8986082.796669
Work out 61 + -40386591928.56.
-40386591867.56
Sum -17.17325 and 607107.
607089.82675
What is 464518920 - 32272?
464486648
What is the difference between 1106723.9193 and 1?
1106722.9193
What is 0.6280271 take away -31913?
31913.6280271
Sum 20.171750584 and -2008.
-1987.828249416
What is the distance between -0.276506359 and 143388?
143388.276506359
Work out 10533701.23 + -102.7.
10533598.53
13.180568026 - 68
-54.819431974
Add -18.467348 and -0.17421.
-18.641558
5394.973 - -0.397997
5395.370997
0 - -520.92716641
520.92716641
59589.432+1154468
1214057.432
Add together 88 and -165527865.
-165527777
What is -8687924.409 less than -29422?
8658502.409
What is -0.11 minus -0.5641037549?
0.4541037549
Calculate 34109.474 - -1690016.4.
1724125.874
Total of 164068.6 and 25.81.
164094.41
Add -212 and -5359686188.
-5359686400
Subtract -1737.2622474882 from 3.1.
1740.3622474882
Work out -5292420.33 - -3.
-5292417.33
Add -7601 and -26359.59.
-33960.59
What is -1706854117153 - 5?
-1706854117158
What is -1178685573 take away 82481?
-1178768054
Work out 20136136858 - 0.3.
20136136857.7
Work out 121785676 + 18343.
121804019
Add together -132847255 and -20.79512.
-132847275.79512
Total of -307528640 and 0.096.
-307528639.904
What is 436383613925 + -450?
436383613475
What is the distance between -4 and -361619022529?
361619022525
Subtract 1056863677 from -8.304.
-1056863685.304
Put together 2934 and -5.817113.
2928.182887
0.1 + 5.3318229391
5.4318229391
What is the difference between -428292.693 and -0.35?
428292.343
Sum -0.31883679 and 55439.
55438.68116321
Add together -6373224 and 152626.
-6220598
What is the difference between 0.5 and 4877666080.19?
4877666079.69
What is -1055447115 minus 499.741?
-1055447614.741
0.242848521475 - 5
-4.757151478525
What is the difference between 0.36574670501399 and 0.3?
0.06574670501399
Total of 21916 and 259987.758.
281903.758
Subtract -8.19 from -73749334.
-73749325.81
Sum 3777187.461 and -0.7.
3777186.761
What is -953487615 - 0.52284?
-953487615.52284
Subtract -0.5 from -139043258453366.
-139043258453365.5
Add 56 and 13256413133559.
13256413133615
Total of 1.9440656 and -29836.
-29834.0559344
Work out 1.2 + -93270262.978423.
-93270261.778423
Total of 5602 and -29195.7.
-23593.7
What is -356941 + -74079.9648?
-431020.9648
What is 0.06 take away 7331111756?
-7331111755.94
What is -29509809344 - 9?
-29509809353
Put together -6.1068 and -60893352.8.
-60893358.9068
Total of -17830362 and 331.9022.
-17830030.0978
Work out 58943.226597 - 2.3.
58940.926597
What is 0.4 minus -21407.254897?
21407.654897
What is -595921769.68 + -0.72?
-595921770.4
Put together -12 and -97929742344.
-97929742356
Calculate -5082.1507 + -52.8.
-5134.9507
Calculate 18487589180442 - 1.
18487589180441
379123 - 9801838
-9422715
Calculate 0.76252259797 - 0.03.
0.73252259797
What is 14.6530665 plus 0.1469?
14.7999665
Put together 13678412140 and 0.8.
13678412140.8
Total of 17364 and -6068665.
-6051301
What is -27730158089 - -1.44?
-27730158087.56
What is -46 take away 0.08220114843?
-46.08220114843
What is 729 minus -676146858457?
676146859186
Add together 41 and -5566898.98543.
-5566857.98543
What is -9031788331790 take away -42?
-9031788331748
Work out 60.1661 - -3.0791595.
63.2452595
What is -231505 less than -5.752479?
231499.247521
Calculate 1.63 + -3954963614.
-3954963612.37
What is 28418786344.8155 minus -5?
28418786349.8155
What is the difference between 0.09922188 and -1685?
1685.09922188
Sum -10 and 2940091614.5.
2940091604.5
Add -200544008571 and -4.
-200544008575
Add 24.44253 and 1100134.
1100158.44253
Add together -130931360546 and -0.4.
-130931360546.4
34.1+-526.102781
-492.002781
-1784959+-1685155
-3470114
What is 0.16456784 minus 0.951?
-0.78643216
Subtract -1293940056528 from -0.2.
1293940056527.8
Work out 11628669350636 - 50.
11628669350586
What is -0.1 - 1457319.66318?
-1457319.76318
What is -236191918 - 1693?
-236193611
Put together -4910788 and 1.3709628.
-4910786.6290372
What is 252896421.9747 plus -18?
252896403.9747
Calculate -922007819518 - 3.
-922007819521
-5859 - -16275.27059
10416.27059
Total of 11.251099 and 37102.
37113.251099
Calculate -196711676422 - -16.
-196711676406
Calculate -18.64 + 1219428.36.
1219409.72
-16267553 - -9795.7
-16257757.3
452676370 + 13994
452690364
Put together -648 and 660.0985383.
12.0985383
-880.74572615+-0.708
-881.45372615
Sum 1087502055413 and -0.12.
1087502055412.88
What is the distance between 2499 and -15.664546?
2514.664546
Calculate -264485349729 + 0.5.
-264485349728.5
-575 + 153.271751
-421.728249
Calculate -128.273 + -1.107289078.
-129.380289078
Put together 2519 and -0.0627949652.
2518.9372050348
-0.05 + 16.747463075
16.697463075
What is 88417170500 take away 0.119?
88417170499.881
Subtract 17950.084294 from 0.81.
-17949.274294
Sum -12 and -730.41820177.
-742.41820177
What is -3.517358 less than 1642.51?
1646.027358
Add together -5 and -85761220034216.
-85761220034221
What is -219603377827736 - 1?
-219603377827737
Work out -0.1 + 144943957627.
144943957626.9
What is -0.5 less than 18424615700070?
18424615700070.5
What is -0.4 take away 0.0707832516102?
-0.4707832516102
What is 46283774391 + -2?
46283774389
Work out 7 + -5994921264.8.
-5994921257.8
Work out -0.8949 - 5754659173.
-5754659173.8949
Calculate 86146216 + 909.
86147125
Add 1 and 1975548082965.
1975548082966
What is -128.0260126 plus -1.82?
-129.8460126
Put together 45100 and -1237361.
-1192261
Calculate 59173140098 + -5.
59173140093
-7.172+1228.78541
1221.61341
What is the difference between -0.02812 and 4078654033?
4078654033.02812
-4633.766 + -1.6726283
-4635.4386283
Calculate 236081.32149 - -317.1.
236398.42149
What is -0.001 - 78007651.8665?
-78007651.8675
What is 12.81412494 + -0.0697?
12.74442494
What is 34934 plus 268763.062?
303697.062
What is -47635.37358665 less than 0.4?
47635.77358665
Work out -40767 - -438.56
|
{
"pile_set_name": "DM Mathematics"
}
|
st value? (a) 0.8 (b) 5 (c) -2/1067 (d) -31
a
Which is the fifth smallest value? (a) 3/8 (b) 2 (c) -0.3 (d) -27.91 (e) -2
b
Which is the fifth smallest value? (a) 1/2 (b) -0.07 (c) -2 (d) -1 (e) -69.92
a
What is the biggest value in -2/5, 7, -7, 64, -7/5?
64
What is the third smallest value in 3/7, 0.2, 3, -138, -0.3?
0.2
Which is the biggest value? (a) -1/4 (b) -5/6 (c) 50.1 (d) 0.004
c
Which is the fourth biggest value? (a) -3/2 (b) 0 (c) 79 (d) 0.2 (e) 3/2
b
What is the second smallest value in -1.9, 8, -172?
-1.9
What is the third smallest value in 8, -16, 1, -19, -1?
-1
What is the sixth smallest value in 67, -0.4, -2/11, -68, 2, 0.5?
67
What is the fourth biggest value in 3, -0.73, -3, 1/186?
-3
Which is the fifth smallest value? (a) -4 (b) 4/17 (c) 0.4 (d) -0.07 (e) -0.112
c
What is the second biggest value in 2/5, 2265419, -3?
2/5
Which is the third smallest value? (a) -25 (b) 4 (c) -0.2238
b
What is the smallest value in -34, -0.4, -299?
-299
What is the third biggest value in 675, -1, -3, 0.3?
-1
What is the fourth smallest value in 1/10, -2/3, -1/5, 3528, -1, -1/2?
-1/5
What is the smallest value in 0.4, 1/6, -3, -2, 58?
-3
Which is the biggest value? (a) 4/9 (b) 237/7 (c) -5/4
b
Which is the third biggest value? (a) -2/7 (b) -3 (c) -28/205
b
Which is the fifth smallest value? (a) -3 (b) 0.082 (c) -0.5 (d) -71 (e) 2
e
Which is the third biggest value? (a) -4 (b) 1/273 (c) -1/2 (d) -27
a
What is the biggest value in -4/11, -65.3, -4?
-4/11
What is the third smallest value in 0.3, -10.2, -2/9, 0.5, 3/5?
0.3
What is the biggest value in 275, 4, -0.3, -1/29?
275
Which is the fourth biggest value? (a) 4 (b) 11 (c) 14/137 (d) -5
d
Which is the third smallest value? (a) 0 (b) -3/7 (c) -11/3 (d) 5/1804 (e) -5 (f) -2
f
Which is the second biggest value? (a) -18 (b) 2 (c) 18 (d) 1/3
b
Which is the biggest value? (a) 0.1 (b) -6/13 (c) -4 (d) -1/9 (e) 2
e
What is the biggest value in 4, 115/6, 0.06, 3, -10.6?
115/6
Which is the third smallest value? (a) 1/5 (b) 26/9 (c) 16 (d) 0 (e) -0.5 (f) -2/7
d
What is the smallest value in 48.3, -3, 0, 5, 1/3, 4?
-3
What is the fifth biggest value in -0.3, -2/3, 0.3, -1, 3/224, 2/9?
-2/3
Which is the fifth biggest value? (a) -0.5 (b) -5 (c) 3 (d) 1849 (e) -4/5
b
What is the third smallest value in 1/14, -902, -0.19, -0.4?
-0.19
What is the third biggest value in 0.6, -5, 60406, -3/4?
-3/4
What is the second biggest value in -296, 1/6, -3/109?
-3/109
What is the second biggest value in -0.3, 1/5, -6.86, 2/11?
2/11
What is the fourth biggest value in -2/7, -7, 7/3, -0.4, 0.5, 25?
-2/7
Which is the smallest value? (a) 0.4 (b) -6/5 (c) 19.5 (d) -1
b
Which is the third smallest value? (a) 4/49 (b) -3 (c) -0.5 (d) 183
a
What is the second smallest value in 0.8, 3, -5157?
0.8
What is the third biggest value in -1, -0.4, 0.02284, 0.7?
-0.4
Which is the third smallest value? (a) -3.981 (b) 1/4 (c) -8/9
b
What is the second smallest value in -62/9, 3/4, 72.2?
3/4
What is the second smallest value in -2.3, 1/2, 0, -40, 1/7, -2/13?
-2.3
What is the second smallest value in -8, 0.5, 0.605, 2.8?
0.5
What is the fourth smallest value in 0.4, -67, -174, 0.1?
0.4
Which is the biggest value? (a) -16/11 (b) 4 (c) 2/5 (d) 0 (e) 2
b
What is the third smallest value in -930, 5/6, 4?
4
What is the third biggest value in -6, 4, 54, 2.3?
2.3
What is the smallest value in 2/13, -4, -961167?
-961167
What is the fifth biggest value in 0, -5, 1, -1/96, -3?
-5
Which is the smallest value? (a) -4 (b) 445.269 (c) -3
a
Which is the third biggest value? (a) 26 (b) 148 (c) 0
c
Which is the smallest value? (a) 2/9 (b) -5.2 (c) -1668
c
Which is the biggest value? (a) 5 (b) -194 (c) 64/19
a
What is the third biggest value in 0.3, 5, 25559?
0.3
Which is the second biggest value? (a) 1 (b) 0.1 (c) -4.018
b
What is the second biggest value in 41, 55/2, 3, 2, -1?
55/2
Which is the fourth smallest value? (a) -0.1 (b) -87 (c) -18 (d) 0.5 (e) 3
d
What is the third biggest value in 0.1988, -0.2, 3/11?
-0.2
What is the biggest value in -1/4, 0.11, 9/5, -5, 9?
9
What is the third biggest value in -1.557, -5, 0, -0.2?
-1.557
What is the third smallest value in -0.4, 2, -4, -0.5, -312.4, 0.2?
-0.5
What is the second smallest value in 4, 8, 3, -0.06?
3
What is the fourth smallest value in 0.1, -4, -2/115, -2/65, -4/5?
-2/115
What is the smallest value in 2/3, 1/7278, 1?
1/7278
What is the smallest value in 0.18, -7, 2/13, 0.1, 2, -128?
-128
Which is the fourth smallest value? (a) -1 (b) 11487 (c) 3 (d) -17 (e) 5
e
Which is the third biggest value? (a) -2 (b) 2/5 (c) -0.021 (d) -10
a
Which is the second biggest value? (a) -0.07 (b) -0.0005 (c) 8 (d) -5
b
What is the fourth biggest value in 12, 5, -0.4, 60?
-0.4
Which is the biggest value? (a) 30 (b) -0.4 (c) 1/124
a
Which is the third biggest value? (a) -4 (b) 0.1 (c) 12271 (d) -2
d
Which is the fifth smallest value? (a) 3/2 (b) -2 (c) 1/10 (d) -0.9 (e) -0.8
a
What is the second smallest value in 4/15, 4, -3/13, 6?
4/15
Which is the third smallest value? (a) -271 (b) -0.07 (c) 8
c
What is the biggest value in -18, 57, -2, -50?
57
Which is the second smallest value? (a) 0.31 (b) 6 (c) 19/7
c
Which is the second biggest value? (a) 0.01 (b) -927.5 (c) 0
c
What is the biggest value in 4, -26, -0.15, -0.5?
4
What is the second biggest value in 0.1, 1/19, -2, -3, -0.01, -17?
1/19
Which is the second smallest value? (a) -192 (b) -1238 (c) -4
a
What is the smallest value in 0.3, -11, 5, 897?
-11
What is the second smallest value in 1/2, -3, 473320?
1/2
Which is the smallest value? (a) 4/7 (b) -6055 (c) 2
b
Which is the fourth biggest value? (a) -5 (b) -15 (c) -3 (d) -8569 (e) -3/5
b
What is the fourth smallest value in 4, 0.5, 0, 58, 37/3, -1?
4
What is the biggest value in 0.1, 7/2, 2, -0.0686?
7/2
What is the fourth smallest value in -0.5, 4, -2, -891, -33, 0.3?
-0.5
Which is the biggest value? (a) 13 (b) -5.1 (c) -36 (d) -2 (e) 2
a
Which is the third smallest value? (a) 7.1 (b) 1 (c) 11 (d) 4 (e) 2 (f) 20
d
What is the third biggest value in -3, -10/11, -0.8, -0.4, 7/78?
-0.8
Which is the third biggest value? (a) 436 (b) 36 (c) 1
c
What is the third biggest value in -2/9, 1/3, 90, 2/7?
2/7
What is the biggest value in -14/5, -0.02, 0.03, 3/4, -0.3, -5?
3/4
What is the biggest value in -23, -6, -3.2, -0.3, -2/11?
-2/11
What is the biggest value in 5, -4, 8, 12, 4/5, 47?
47
What is the second biggest value in -0.1, -1.4, 7, -1, 43, 0.1?
7
What is the biggest value in -37.9, -11/7, 5, -5, 0.4?
5
What is the third smallest value in 117, -2/3, 1/4, 167?
117
Which is the smallest value? (a) 5 (b) 7/5 (c) -6 (d) -4 (e) -16
e
Which is the third smallest value? (a) -2592 (b) 0.2 (c) 3/7
c
Which is the fifth biggest value? (a) 0 (b) 8/9 (c) -2 (d) -4 (e) -13/4
d
What is the third biggest value in 0.3, -1/9, -5, 1, 0.1?
0.1
Which is the smallest value? (a) 42/11 (b) -6 (c) 21 (d) 1 (e) -1/4
b
Which is the fourth smallest value? (a) 0.8 (b) 1290 (c) 0.1 (d) -1/4 (e) 2/3
a
What is the second biggest value in -4, -115, -1, -1/457, 2?
-1/457
What is the fourth biggest value in -1/4, 0.3, 0, -132, 4?
-1/4
What is the smallest value in 2232, -3, 385?
-3
What is the third smallest value in -3/8, -1/2, 2/15, -2/25, 68?
-2/25
Which is the third biggest value? (a) 7 (b) 0.37 (c) -2/175 (d) 5
b
What is the fourth biggest value in 2/13, -4, -44, -7?
-44
Which is the biggest value? (a) 5 (b) -187/9841 (c) -5 (d) -2
a
Which is the second biggest value? (a) -69/19 (b) -3/5 (c) -0.2
b
What is the smallest value in -6, 3, -1, 5, 2.32?
-6
Which is the smallest value? (a) 0.3 (b) 0.1 (c) 0.5 (d) -0.085
d
What is the smallest value in -1, -18915, 0.3, 1/4, -0.2?
-18915
Which is the third smallest value? (a) 2/477 (b) 1.2 (c) 1/2 (d) 0.2 (e) 0.1 (f) 3
d
Which is the third smallest value? (a) -24021 (b) -6.3 (c) 5/4
c
Which is the fifth biggest value? (a) -0.19 (b) 4/15 (c) 0.2 (d) 1/9 (e) -2/5
e
What is the smallest value in 831, 10, -2/7, -0.3, 1, 1/5?
-0.3
What is the fourth smallest value in -0.3, -10844, -0.2, -2/11
|
{
"pile_set_name": "DM Mathematics"
}
|
-41, 6, 79, 184, 327?
514
What is the next term in 90, 133, 186, 243, 298, 345, 378?
391
What comes next: -141, -159, -179, -195, -201, -191, -159?
-99
What is the next term in -240, -485, -730, -975?
-1220
What comes next: -1201, -1199, -1197, -1195, -1193?
-1191
What comes next: 4, -18, -58, -122, -216, -346?
-518
What comes next: -276, -280, -276, -258, -220, -156, -60?
74
What is the next term in -2638, -5284, -7940, -10612, -13306?
-16028
What is the next term in -761, -1525, -2299, -3089, -3901, -4741?
-5615
What is next in 116, 243, 382, 539, 720, 931?
1178
What is the next term in -20, -57, -116, -197, -300, -425, -572?
-741
What is next in -49, -113, -157, -169, -137?
-49
What is next in -23, -78, -169, -296, -459, -658, -893?
-1164
What is next in 25, 34, 23, -8?
-59
What is next in 950, 1877, 2792, 3689, 4562?
5405
What is the next term in 146, 145, 150, 167, 202, 261, 350, 475?
642
What comes next: 114, 386, 832, 1446, 2222, 3154, 4236?
5462
What is the next term in -23, -44, -85, -152, -251, -388, -569?
-800
What comes next: 314, 326, 352, 398, 470, 574?
716
What is next in -259, -545, -831, -1117, -1403, -1689?
-1975
What is the next term in 6, 17, 28?
39
What comes next: 17, 29, 45, 65, 89, 117?
149
What comes next: 3569, 7137, 10705, 14273, 17841?
21409
What is next in -237, -476, -715, -954?
-1193
What comes next: 366, 378, 398, 426, 462, 506?
558
What is the next term in 994, 1989, 2984?
3979
What is next in 45, 46, 59, 90, 145, 230, 351, 514?
725
What is the next term in 30, 9, -12, -33, -54, -75?
-96
What is next in 26, 31, 38, 47?
58
What is the next term in 15, 18, 7, -24, -81?
-170
What is the next term in 17, 40, 63?
86
What is next in 95, 372, 835, 1484, 2319, 3340, 4547?
5940
What comes next: -78, -123, -152, -159, -138, -83, 12?
153
What comes next: 238, 237, 236, 235, 234?
233
What is the next term in -357, -713, -1069?
-1425
What comes next: 445, 892, 1337, 1780?
2221
What is next in 20, 33, 46, 59, 72?
85
What is the next term in -384, -769, -1154, -1539, -1924, -2309?
-2694
What is next in 68, 127, 198, 287, 400, 543, 722, 943?
1212
What is next in 106, 88, 58, 16, -38, -104?
-182
What comes next: 15, 21, 27, 33, 39?
45
What is the next term in 704, 706, 708, 710, 712, 714?
716
What is the next term in -31, -61, -91, -121, -151?
-181
What is next in 173, 287, 401, 515, 629?
743
What is the next term in -50, -202, -452, -800?
-1246
What is next in -18, -88, -210, -384, -610, -888, -1218?
-1600
What is the next term in 217, 223, 217, 193, 145, 67?
-47
What comes next: 52, 93, 112, 97, 36, -83, -272, -543?
-908
What is the next term in -1, 18, 53, 104, 171, 254, 353?
468
What is next in 309, 297, 269, 219, 141?
29
What comes next: 69, 585, 1999, 4761, 9321, 16129, 25635?
38289
What is next in 38, 27, -6, -73, -186, -357?
-598
What comes next: -47, -95, -143?
-191
What is the next term in -7, -4, -3, -4?
-7
What is next in 12847, 12845, 12843, 12841?
12839
What is the next term in -25, -32, -39, -46, -53, -60?
-67
What is the next term in -6, -19, -32, -45, -58?
-71
What is the next term in -715, -1443, -2171, -2899, -3627, -4355?
-5083
What is next in 116, 233, 346, 455, 560?
661
What is the next term in 1, -11, -35, -77, -143, -239?
-371
What comes next: -75, -152, -233, -318, -407, -500?
-597
What comes next: 133, 136, 133, 118, 85, 28, -59, -182?
-347
What is next in 12, 4, -2, -6?
-8
What is the next term in 192, 382, 572?
762
What is next in 0, -75, -284, -693, -1368, -2375, -3780?
-5649
What is the next term in -123, -122, -121, -120?
-119
What is next in -592, -590, -588, -586?
-584
What comes next: -15, -35, -67, -111, -167, -235?
-315
What is the next term in 38, 47, 22, -43, -154?
-317
What is the next term in 25, 45, 65?
85
What is next in 289, 275, 237, 163, 41, -141, -395?
-733
What comes next: 1195, 2389, 3583, 4777, 5971, 7165?
8359
What comes next: -5, 1, 19, 49, 91?
145
What is the next term in 14, 136, 462, 1094, 2134, 3684, 5846?
8722
What is the next term in -21, 40, 101, 162, 223?
284
What comes next: -48, -49, -50, -51, -52?
-53
What is next in -244, -257, -286, -337, -416?
-529
What comes next: -4, -29, -74, -145, -248?
-389
What comes next: -116, -235, -354, -473?
-592
What is next in -45, -92, -129, -156, -173, -180, -177?
-164
What is the next term in -25, -45, -57, -55, -33, 15, 95, 213?
375
What is next in 70, 140, 210, 280?
350
What is next in -120, -115, -110, -105?
-100
What comes next: -68, -132, -196, -260, -324, -388?
-452
What comes next: 215, 203, 177, 131, 59, -45, -187, -373?
-609
What is the next term in 28, 56, 122, 244, 440, 728, 1126, 1652?
2324
What is next in 4, -10, -34, -68, -112, -166, -230?
-304
What comes next: -5, -41, -101, -185, -293, -425, -581?
-761
What is the next term in -86, -158, -232, -308, -386?
-466
What is next in 30, 38, 60, 102, 170, 270?
408
What is next in 185, 160, 135, 110, 85, 60?
35
What is the next term in -113, -212, -301, -374, -425, -448, -437?
-386
What is next in -142, -170, -220, -298, -410, -562, -760?
-1010
What comes next: -20891, -41784, -62677, -83570, -104463?
-125356
What is next in 2135, 2137, 2139, 2141, 2143?
2145
What is the next term in 179, 192, 205, 218?
231
What comes next: -3, 4, 39, 120, 265, 492, 819, 1264?
1845
What is next in -5103, -5100, -5095, -5088, -5079, -5068?
-5055
What comes next: -82, -166, -254, -346?
-442
What is the next term in -595, -603, -617, -637, -663, -695, -733?
-777
What is next in 41, 85, 127, 167, 205, 241, 275?
307
What is next in -96, -447, -1050, -1911, -3036, -4431, -6102?
-8055
What is next in -1888, -1896, -1904, -1912?
-1920
What comes next: -35, -49, -41, -5, 65, 175, 331, 539?
805
What is next in 26, -16, -84, -178, -298, -444?
-616
What is the next term in 8, 26, 52, 86, 128, 178, 236?
302
What is the next term in -197, -199, -201, -203, -205?
-207
What is the next term in 1210, 4856, 10934, 19444, 30386?
43760
What is the next term in 8, -18, -46, -70, -84, -82, -58, -6?
80
What is the next term in 9, 70, 237, 564, 1105, 1914, 3045, 4552?
6489
What is next in -14, -15, -18, -23, -30, -39, -50?
-63
What comes next: 25, 26, 29, 34, 41?
50
What is next in -978, -1954, -2930, -3906?
-4882
What is the next term in -9, -10, -9, -6, -1, 6, 15?
26
What is the next term in -163, -323, -485, -649, -815, -983, -1153?
-1325
What comes next: 143, 288, 431, 572, 711?
848
What is the next term in -50, -31, 2, 49, 110?
185
What is the next term in 147, 143, 137, 129, 119?
107
What is next in -5, -13, -21, -29, -37, -45?
-53
What is the next term in -20, -60, -108, -158, -204, -240, -260, -258?
-228
What is the next term in -9, -56, -131, -246, -413, -644, -951, -1346?
-1841
What is the next term in 67, 66, 65, 64, 63, 62?
61
What comes next: 187, 189, 191, 193, 195, 197?
199
What is next in 0, -9, -22, -39?
-60
What comes next: 225, 223, 221, 219?
217
What is the next term in -50, -79, -164, -335, -622, -1055, -1664?
-2479
What comes next: 83, 103, 161, 275, 463, 743?
1133
What is next in -2063, -2060, -2049, -2024, -1979?
-1908
What is the next term in -59, -232, -521, -926, -1447, -2084?
-2837
What is next in 15, 103, 249, 459, 739?
1095
What is next in -94, -331, -702, -1189, -1774, -2439?
-3166
What comes next: -148, -299, -450, -601, -752, -903?
-1054
What is the next term in -39, -36, -33, -30, -27?
-24
What is the next term in 53, 107, 161, 215?
269
What comes next: 23, 26, 31, 38?
47
What comes next: 12, -8, -54, -138, -272, -468, -738, -1094?
-1548
What is next in -35, -33, -35, -41, -51, -65?
-83
What comes next: -46, -68, -90, -112, -134?
-156
What comes next: -287, -561, -833, -1103, -1371?
-1637
What is the next term in 1050, 1049, 1048, 1047, 1046?
1045
What is next in -40, -37, -34, -31?
-28
What comes next: -5633, -5632, -5631?
-5630
What is the next term in -530, -528, -524, -518?
-510
What is next in 18, 8, -6, -24, -46?
-72
What comes next: -243, -225, -211, -201, -195, -193?
-195
What is the next term in -32, -51, -70, -89?
-108
What is the next term in 1520, 1522, 1524?
1526
What comes next: -6, -31, -80, -159, -274?
-431
What is next in -376, -745, -1092, -1405, -1672, -1881, -2020?
-2077
What is the next term in 332, 357, 382?
407
What is next in 477, 478, 479, 480?
481
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
e nearest 10?
-70
Let t = 696.1 + -696.22462. What is t rounded to three dps?
-0.125
Let s = 17269.28296 - 17269. Round s to 2 dps.
0.28
Let y(d) = 226*d**2 - 10*d - 16. Let f be y(-9). Let h be 16/(6/3*1). Suppose h*n - f + 235180 = 0. Round n to the nearest one thousand.
-27000
Suppose 66*d - 2453318 = -836648. Round d to the nearest 100.
24500
Let h = -0.356 - 447.644. Let q = 448.00001683 + h. What is q rounded to six decimal places?
0.000017
Let a = -0.079 - 166.921. Let g = a + 195.5. Round g to the nearest integer.
29
Let p = 28.9775 + -27.97. What is p rounded to two decimal places?
1.01
Let r = 75636 - -570021. Let q be (2*(3 - 4))/((-8)/(-4022628)). Let s = r + q. What is s rounded to the nearest 100000?
-400000
Let g = 2072.996826 - 2073. What is g rounded to 3 decimal places?
-0.003
Let a = -10750.969865 - -10751. Round a to 4 decimal places.
0.0301
Let l = -922547.622 - -1030416425.622. Let t = -1029493964.0000006 + l. Let q = -86 - t. What is q rounded to six decimal places?
0.000001
Let i = 0.208213 + -0.19751. Round i to four decimal places.
0.0107
Let c(t) = -299282*t - 359. Let p be c(3). Suppose 6 - 2 = -4*x, m - 1778200 = -5*x. Let v = m + p. What is v rounded to the nearest 100000?
900000
Let l be (-8168 - (-7)/(-1))/((-2)/28). Round l to the nearest one thousand.
114000
Suppose -9278 = 4*b - 1830. Suppose 5*z = 25, 2*w - 53*z + 4851 = -58*z. Let j = b + w. Round j to the nearest 1000.
-4000
Let y = -0.0772 - 511.9228. Let x = 512.0001804 + y. What is x rounded to five decimal places?
0.00018
Let k = -108689583.943295 + 109162944.913. Let p = k + -473360. Let n = p + -0.97. Round n to five dps.
-0.0003
Let f = 134 - 126. Suppose f*z - 4*z - 4*c - 928 = 0, 4*c = -4*z + 896. What is z rounded to the nearest 10?
230
Let q = -469 - -4169. Let w = 3131 + -3119. Suppose -w*k = -14*k - q. What is k rounded to the nearest one hundred?
-1900
Let x = 493 + -492.6832. Let l = x + -302.4168. What is l rounded to the nearest ten?
-300
Let t = 336631754 + -566941754. Round t to the nearest 1000000.
-230000000
Let l be (-21)/28 + 1236624072/96. What is l rounded to the nearest one hundred thousand?
12900000
Let s = -39 - -60. Let a = -47 + s. Let o = a - -25.3. What is o rounded to 1 dp?
-0.7
Let g = 12.283 - 12.283063445. What is g rounded to 5 decimal places?
-0.00006
Let d be (-7)/(21/6) - -34. Suppose 0 = 3*l - 4*z - 0*z + d, l + 16 = 4*z. Let q be 22/l + (-4)/16 - -11003. Round q to the nearest 1000.
11000
Let x = -4127932502.0000466 - -4127932891. Let c = -3250 - -2861. Let d = x + c. Round d to five dps.
-0.00005
Let i = 299221 - 167357. Suppose -h + 2*o = -i - 336132, 4*h - 5*o - 1871990 = 0. Suppose -g + h = 3*g. Round g to the nearest ten thousand.
120000
Let l = 159.162 + -159. Let g = -0.1620009 + l. What is g rounded to 5 decimal places?
0
Let o = -19.5715 - -2.709. Let i = o - -16.8. Round i to 2 decimal places.
-0.06
Let y = 646956.01 - 657828. Let z = y + 10827. Let o = 46 + z. What is o rounded to 1 decimal place?
1
Let o(i) = -i**2 + 25*i - 62. Let x be o(3). Suppose w + x*p + 550 = -w, 0 = -5*w - 2*p - 1351. Round w to the nearest 10.
-270
Let c = -562215355.6039 - -3193.6039. Let m = -562212172.99999996 - c. Let w = -11 - m. Round w to seven dps.
0
Let a be (-6)/39 + 502974/26. Suppose -11*r - a = 25315. What is r rounded to the nearest 1000?
-4000
Let y = 352 + -349. Suppose -11*t + 8*t + 153268 = 4*o, y*t + 76652 = 2*o. What is o rounded to the nearest one thousand?
38000
Let o = 159926 - 159925.99834003. Round o to five decimal places.
0.00166
Let q = 0.2697 + -162.5097. Let n = 165 + q. Round n to the nearest integer.
3
Let u = -62523.827 - -62553. Let z = u - 0.323. Let l = z - 26. Round l to 1 dp.
2.9
Let w = 44607 + -44607.13452. Round w to 1 decimal place.
-0.1
Let k(b) = b**3 - b**2 - 10*b - 29. Let j be k(7). Let o be j*(160/14)/((-18)/210). What is o rounded to the nearest ten thousand?
-30000
Let m(q) = -q**3 + 10*q**2 - 7*q - 11. Let t be m(9). Let a = -4 + t. Suppose -a*r - 5*r = -1528. What is r rounded to the nearest 10?
190
Let h = 1 - -1. Suppose c + h*z - 247088 = 2*c, 4*z + 988352 = -4*c. Let y = c + 165088. What is y rounded to the nearest 100000?
-100000
Let m = -0.935 + -394.065. Let c = 394.99999332 + m. Round c to six decimal places.
-0.000007
Let z = -613 + 296. Let y = 317.0442 + z. Round y to two decimal places.
0.04
Let q = -23.96455 - -24. Let x = 0.488 + -0.523. Let z = q + x. What is z rounded to four decimal places?
0.0005
Let i = -11341.0194 + 11341. Round i to four decimal places.
-0.0194
Let p = 142.649 + 0.351. Let d = p - 142.99999882. What is d rounded to 6 dps?
0.000001
Let l(i) = -1592*i + 13. Let z(b) = 3186*b - 25. Let h(m) = 10*l(m) + 6*z(m). Let v be h(-5). Round v to the nearest ten thousand.
-20000
Suppose 230 = 2*f - 176. Let r = f - 142. Suppose 0 = 5*v - 3*l - 221, v + 7*l - 2*l = r. Round v to the nearest ten.
50
Suppose 6 + 3 = 3*x. Suppose -4*l - x*l = -49. Suppose -l*d - 32179710 = 1770290. What is d rounded to the nearest 100000?
-4900000
Let j = 224.86 + 3767.84. What is j rounded to the nearest 100?
4000
Let h = -60215830 - -97856489. Let u = h - 37640649.9999905. Let q = 9 - u. Round q to 6 dps.
-0.00001
Suppose 4*o + 9110255 = -5*r - 613090, 0 = -3*r + o - 5834024. Let t = r + 644673. Round t to the nearest one hundred thousand.
-1300000
Let w = 176366.0076 - 176308. Let c = 187 + -129. Let v = c - w. What is v rounded to three dps?
-0.008
Let s = -181.30836 + 181.62. Round s to two decimal places.
0.31
Suppose 184*a - 4161268672 = 1458661728. What is a rounded to the nearest one million?
31000000
Let r = 2.2409 + -9.8305. What is r rounded to zero dps?
-8
Let j = -77 - -164.5. Let f = 14.5 - j. Let p = 73.00075 + f. What is p rounded to 4 decimal places?
0.0008
Let l = 313.25 - 275.612. Round l to the nearest 10.
40
Suppose -h = -3*r - 62025, -8*h - 310040 = -13*h - 2*r. Round h to the nearest ten thousand.
60000
Let m = -0.4657564 + 0.4649. What is m rounded to 5 decimal places?
-0.00086
Let f = -156 - -79. Let i = -54 - f. Let g = i + -23.00000046. What is g rounded to 7 decimal places?
-0.0000005
Let w be 0 + (0 + 0)*1/(-2). Let f be (2 - w - 12)*-250. Let b be (10/45 - 2884/18)*f. Round b to the nearest 1000000.
0
Let m = -20448503.94155 + 20448974. Let s = m + -470.2. Let x = s + 0.142. What is x rounded to 4 decimal places?
0.0005
Let q = -0.142 + 4.472. Let s = q + -4.329989. Round s to 5 dps.
0.00001
Let i = 350.28 + -349.4874. What is i rounded to 2 decimal places?
0.79
Let h = -103.3 - -4.3. Let l = 9942405945.99999937 + -9942406045. Let t = l - h. Round t to 7 decimal places.
-0.0000006
Let i be (206694/(-27))/(20/90 - 22/100). What is i rounded to the nearest one hundred thousand?
-3400000
Let w(o) = o**2 + o - 9. Let y be w(-4). Let m be ((-2)/y)/(-1) - 8/12. Suppose -5*a + 4062 + 1288 = m. What is a rounded to the nearest 100?
1100
Let s = 287188 - 287185.66339. Round s to 1 decimal place.
2.3
Suppose -2*u = -g + 80320532, -3*g + 19715195 = -u - 20445061. Let s = -19260268 - u. What is s rounded to the nearest one million?
21000000
Let d = 56732 + -56732.066887. What is d rounded to three decimal places?
-0.067
Let l = 18206.8 - 19518. Round l to the nearest 100.
-1300
Suppose -8*u - 455824 - 474216 = 0. Let o be (-3)/(-15) + u/25. Round o to the nearest 1000.
-5000
Let c = -3031 + 3031.5006. Let s = 0.56 - c. Round s to 2 decimal places.
0.06
Let d = 4.07174 - 3.972. What is d rounded to three decimal places?
0.1
Let p = -19.189 - -19.189014259. What is p rounded to seven dps?
0.0000143
Let c = 3013 + -3012.99994733. What is c rounded to 6 dps?
0.000053
Let b = -12115691910 + 12116215422.7501. Let p = b + -524113.7. Let l = 601 + p. Round l to two decimal places.
0.05
Let q = 167.64 + -203.2. What is q rounded to the nearest integer?
-36
Let m = -646.009 - -645. Let u = -93.791 + m. What is u rounded to the nearest 10?
-90
Let j be 2/(-11) - ((-608)/(-44) - -2). Let s = -34 - j. Let l be ((-20)/s)/(-5) + 2726994/(-27). Round l to the nearest 10000.
-100000
Let b(l) = l**2 + 10*l - 13. Let i be b(-11). Let a be (-2 - -1)*-6 + i + 0. Let s be 4/(-8) + ((-1379994)/a)/3. Round s to the nearest ten thousand.
-120000
Let s be (-15)/(-55) - 12406
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the w'th term of -3275, -6476, -9571, -12506, -15227, -17680?
9*w**3 - w**2 - 3261*w - 22
What is the g'th term of -65901, -131643, -197387, -263133, -328881, -394631, -460383?
-g**2 - 65739*g - 161
What is the x'th term of 49102, 49105, 49108, 49111, 49114?
3*x + 49099
What is the j'th term of 138539, 138546, 138539, 138512, 138459, 138374?
-j**3 - j**2 + 17*j + 138524
What is the x'th term of 12305, 12307, 12309, 12311, 12313, 12315?
2*x + 12303
What is the i'th term of 14952, 14956, 14960?
4*i + 14948
What is the w'th term of 1626, 3246, 4866?
1620*w + 6
What is the v'th term of 177, 370, 587, 840, 1141, 1502, 1935, 2452?
2*v**3 + 179*v - 4
What is the g'th term of 93, -122, -337, -552?
-215*g + 308
What is the q'th term of -172, -44, 210, 584, 1072, 1668?
-q**3 + 69*q**2 - 72*q - 168
What is the h'th term of 30858, 123451, 277772, 493821, 771598, 1111103?
30864*h**2 + h - 7
What is the v'th term of 137, 261, 419, 617, 861, 1157, 1511?
v**3 + 11*v**2 + 84*v + 41
What is the a'th term of 83007, 166008, 249005, 331998, 414987?
-2*a**2 + 83007*a + 2
What is the v'th term of -221467, -221468, -221469, -221470?
-v - 221466
What is the w'th term of 4972, 9959, 14946?
4987*w - 15
What is the a'th term of -2340, -2332, -2318, -2298, -2272, -2240, -2202?
3*a**2 - a - 2342
What is the x'th term of 3330, 6665, 10000, 13335, 16670, 20005?
3335*x - 5
What is the z'th term of -227, -428, -629, -830, -1031, -1232?
-201*z - 26
What is the q'th term of 2084, 2089, 2086, 2075, 2056, 2029?
-4*q**2 + 17*q + 2071
What is the i'th term of -1164, -2322, -3482, -4644, -5808, -6974?
-i**2 - 1155*i - 8
What is the l'th term of -83852, -83853, -83856, -83861, -83868, -83877, -83888?
-l**2 + 2*l - 83853
What is the b'th term of -2097, -2142, -2181, -2214?
3*b**2 - 54*b - 2046
What is the u'th term of 431, 1616, 3579, 6320, 9839, 14136, 19211?
389*u**2 + 18*u + 24
What is the c'th term of -5724, -5681, -5636, -5589, -5540, -5489, -5436?
c**2 + 40*c - 5765
What is the v'th term of -500, -505, -520, -551, -604, -685, -800?
-v**3 + v**2 - v - 499
What is the u'th term of -6815, -6820, -6825?
-5*u - 6810
What is the a'th term of 10428, 20855, 31282?
10427*a + 1
What is the r'th term of -93857, -93933, -94009?
-76*r - 93781
What is the m'th term of -4454, -8360, -12262, -16160, -20054, -23944, -27830?
2*m**2 - 3912*m - 544
What is the m'th term of 1093, 1063, 1033, 1003, 973, 943?
-30*m + 1123
What is the x'th term of 22690, 45400, 68110, 90820?
22710*x - 20
What is the g'th term of 167722, 167719, 167714, 167707, 167698, 167687?
-g**2 + 167723
What is the d'th term of 70674, 141352, 212030, 282708, 353386?
70678*d - 4
What is the k'th term of 4512, 4522, 4540, 4566, 4600?
4*k**2 - 2*k + 4510
What is the u'th term of -72238, -72238, -72228, -72202, -72154, -72078?
u**3 - u**2 - 4*u - 72234
What is the s'th term of 620308, 620309, 620310?
s + 620307
What is the p'th term of -1298, -1196, -1094, -992, -890, -788?
102*p - 1400
What is the y'th term of -1549, -1518, -1487, -1456, -1425, -1394?
31*y - 1580
What is the r'th term of -1675, -3351, -4995, -6607, -8187?
16*r**2 - 1724*r + 33
What is the z'th term of -379, -332, -285, -238, -191?
47*z - 426
What is the f'th term of 466973, 466986, 467001, 467018, 467037?
f**2 + 10*f + 466962
What is the a'th term of -326077, -326081, -326085, -326089, -326093, -326097?
-4*a - 326073
What is the m'th term of 2073, 2172, 2271?
99*m + 1974
What is the y'th term of 34921, 69829, 104735, 139639?
-y**2 + 34911*y + 11
What is the r'th term of 600193, 1200385, 1800577?
600192*r + 1
What is the g'th term of 21, 37, 43, 33, 1, -59, -153, -287?
-g**3 + g**2 + 20*g + 1
What is the c'th term of 443, 845, 1249, 1655, 2063, 2473, 2885?
c**2 + 399*c + 43
What is the k'th term of 366, 832, 1418, 2118, 2926, 3836, 4842, 5938?
-k**3 + 66*k**2 + 275*k + 26
What is the a'th term of -9443, -18969, -28495?
-9526*a + 83
What is the q'th term of -1419, -2937, -4561, -6291?
-53*q**2 - 1359*q - 7
What is the g'th term of 723, 1484, 2283, 3126, 4019, 4968, 5979, 7058?
g**3 + 13*g**2 + 715*g - 6
What is the n'th term of -2949, -11762, -26447, -47004, -73433, -105734, -143907?
-2936*n**2 - 5*n - 8
What is the w'th term of 488, 585, 684, 785, 888, 993?
w**2 + 94*w + 393
What is the r'th term of 137940, 275887, 413836, 551787?
r**2 + 137944*r - 5
What is the h'th term of -197, -97, 13, 133, 263, 403?
5*h**2 + 85*h - 287
What is the s'th term of 826491, 826501, 826525, 826569, 826639, 826741, 826881, 827065?
s**3 + s**2 + 826489
What is the f'th term of -8467, -33820, -76073, -135226, -211279, -304232, -414085?
-8450*f**2 - 3*f - 14
What is the p'th term of -43828, -43830, -43832, -43834?
-2*p - 43826
What is the c'th term of -126, -225, -332, -453, -594, -761?
-c**3 + 2*c**2 - 98*c - 29
What is the n'th term of 29105, 29085, 29065, 29045, 29025?
-20*n + 29125
What is the m'th term of -292431, -292432, -292433, -292434, -292435, -292436?
-m - 292430
What is the r'th term of -4082, -4169, -4266, -4379, -4514, -4677?
-r**3 + r**2 - 83*r - 3999
What is the r'th term of -48941, -48945, -48949?
-4*r - 48937
What is the z'th term of 2298, 6015, 9732, 13449, 17166, 20883?
3717*z - 1419
What is the f'th term of 1428, 1312, 1120, 852, 508, 88?
-38*f**2 - 2*f + 1468
What is the h'th term of 174, 459, 732, 993, 1242, 1479, 1704?
-6*h**2 + 303*h - 123
What is the w'th term of -6125, -5941, -5637, -5219, -4693, -4065?
-w**3 + 66*w**2 - 7*w - 6183
What is the m'th term of -61, 243, 1083, 2723, 5427, 9459?
44*m**3 + 4*m**2 - 16*m - 93
What is the i'th term of 96, -103, -292, -465, -616, -739, -828, -877?
i**3 - i**2 - 203*i + 299
What is the j'th term of 385, 407, 429, 451, 473?
22*j + 363
What is the q'th term of 10913, 10920, 10927?
7*q + 10906
What is the k'th term of 22264, 44506, 66748, 88990, 111232?
22242*k + 22
What is the v'th term of 4084, 8351, 12616, 16879?
-v**2 + 4270*v - 185
What is the s'th term of -276091, -276101, -276119, -276151, -276203?
-s**3 + 2*s**2 - 9*s - 276083
What is the r'th term of 151, 144, 137, 130, 123, 116?
-7*r + 158
What is the c'th term of 1310, 2808, 4680, 7112, 10290, 14400, 19628?
31*c**3 + c**2 + 1278*c
What is the w'th term of 6720, 13430, 20138, 26844, 33548?
-w**2 + 6713*w + 8
What is the o'th term of -16165, -32324, -48483, -64642, -80801?
-16159*o - 6
What is the w'th term of 4259, 4361, 4539, 4799, 5147, 5589, 6131, 6779?
w**3 + 32*w**2 - w + 4227
What is the b'th term of 401, 723, 1045, 1367, 1689?
322*b + 79
What is the q'th term of 465968, 465969, 465970?
q + 465967
What is the r'th term of -422, -1585, -3532, -6263?
-392*r**2 + 13*r - 43
What is the c'th term of 847, 1722, 2611, 3514, 4431, 5362?
7*c**2 + 854*c - 14
What is the c'th term of -270, -440, -598, -744, -878?
6*c**2 - 188*c - 88
What is the d'th term of 32, 48, -106, -580, -1524, -3088?
-25*d**3 + 65*d**2 - 4*d - 4
What is the g'th term of 2718, 4554, 6390, 8226?
1836*g + 882
What is the t'th term of 29650, 29652, 29654, 29656, 29658?
2*t + 29648
What is the p'th term of -2121, -2071, -2023, -1977, -1933, -1891?
-p**2 + 53*p - 2173
What is the k'th term of -8029, -8031, -8033, -8035?
-2*k - 8027
What is the p'th term of 3706, 7381, 11062, 14749, 18442, 22141, 25846?
3*p**2 + 3666*p + 37
What is the s'th term of -3279, -6570, -9859, -13146, -16431?
s**2 - 3294*s + 14
What is the y'th term of 370198, 370195, 370192?
-3*y + 370201
What is the s'th term of 25006, 25042, 25078, 25114?
36*s + 24970
What is the q'th term of 6, 34, 66, 102?
2*q**2 + 22*q - 18
What is the a'th term of -24502, -49003, -73504?
-24501*a - 1
What is the p'th term of 82193, 82192, 82191, 82190?
-p + 82194
What is the c'th term of 1166, 2343, 3508, 4649, 5754, 6811, 7808, 8733?
-2*c**3 + 6*c**2 + 1173*c - 11
What is the s'th term of -64900, -129799, -194696, -259591, -324484?
s**2 - 64902*s + 1
What is the h'th term of -1301, -2598, -3895, -5192, -6489?
-1297*h - 4
What is the g'th term of -214, -154, -82, -4, 74, 146, 206, 248?
-g**3 + 12*g**2 + 31*g - 256
What is the i'th term of -164332, -164323, -164300, -164257, -164188, -164087, -163948, -163765?
i**3 + i**2 - i - 164333
What is the t'th term of 17, 86, 169, 242, 281, 262, 161, -46?
-4*t**3 + 31*t**2 + 4*t - 14
What is the v'th term o
|
{
"pile_set_name": "DM Mathematics"
}
|
the form b*q**3 + u*q + i*q**2 + z + k*q**4 and give i.
-1
Rearrange (-13*x**2 - 9*x + 9*x)*((7*x + 3*x - 3*x)*(-6 + 3 + 1) + (-2 - 3 + 3)*(-3*x + 3*x + 2*x) - 3*x + 7*x - 2*x) to s*x**3 + g*x**2 + d*x + h and give s.
208
Express -197*r**2 + 64*r**2 + 70*r**2 + 223*r**3 + 65*r**2 in the form u*r + v*r**3 + c + z*r**2 and give v.
223
Rearrange -143961 + 1017*h**2 + 143961 to the form d + l*h + p*h**2 and give l.
0
Rearrange 11*l + 15*l - 5*l + (0*l + 0*l - 5*l)*(-3 - 4 - 1) to the form n*l + x and give n.
61
Express (5*z - 11 + 3 + 0)*(3*z - 14*z - 3*z) as h*z + p*z**2 + g and give p.
-70
Rearrange 5 - 3 - 48446*n**2 + 48483*n**2 to the form i*n**2 + y + m*n and give i.
37
Express (n**2 - n**2 + 3*n**2)*(-2*n**2 + 1 - 1) + 0 - n**4 + 0 + n**3 + 4001*n - 35*n**4 - 4001*n in the form f + x*n**4 + k*n**2 + c*n**3 + g*n and give x.
-42
Express t**2 + 117*t**4 + 1 - 2*t - 189*t**4 + 0 in the form s*t + w*t**4 + q + r*t**2 + k*t**3 and give s.
-2
Rearrange -66*n**4 - 9*n**2 + 36*n**4 + n + 2 + 28*n**4 to the form x*n + y + u*n**3 + k*n**2 + r*n**4 and give y.
2
Express 114 + 229*g - g**2 - 229*g + 6 in the form v*g + j*g**2 + w and give j.
-1
Express -5 + 6*v + 16 - 1 + 5 as h*v + w and give h.
6
Rearrange (-95*t + t**2 + 7 + 59*t + 8*t)*(5 - 3 + 0)*(0 - 1 - 1)*(4*t - t - t) to the form r*t + v + h*t**3 + a*t**2 and give r.
-56
Rearrange (-2 + 3 + 0)*(-1 - 2 + 4)*(-306*s**3 + 8*s**4 - 2*s**4 - 8*s**4) to the form j + v*s**3 + l*s**2 + p*s**4 + z*s and give p.
-2
Rearrange 6*u**3 + 4*u**3 + 1 - 6*u**3 - 3 - 5*u**4 - 3*u**2 + 2*u**4 to the form h + r*u + p*u**3 + a*u**4 + s*u**2 and give h.
-2
Express (37*k**2 - 146*k**2 - 136*k**2)*(k + 3 - 2 + 0*k) as l*k + s + c*k**2 + g*k**3 and give c.
-245
Rearrange (35*d - 80*d + 41*d)*(-3*d**3 - 3*d**2 + 3*d**2) + 0*d**4 + 0*d**4 + 6*d**2 - 2*d**4 to u*d**3 + m*d + q*d**2 + k*d**4 + v and give q.
6
Express -7*v - 118*v + 186*v + 205*v + 858*v in the form b + n*v and give b.
0
Express 43*u**2 - 15*u**2 + u - 8*u + 4*u in the form p*u**2 + j + c*u and give c.
-3
Rearrange -7*v**3 + 0*v**3 - 51*v**2 + 102*v**2 - 40*v**2 to the form g*v**2 + m*v + p + q*v**3 and give p.
0
Express (3*y**2 - 4 + 4)*(47*y**2 - 4 - y - 26*y**2 + 6) as b*y**4 + z + t*y**3 + r*y**2 + x*y and give t.
-3
Rearrange 8*i**2 + 11*i**2 - 24*i**2 + 71*i - 12*i to p + s*i**2 + f*i and give s.
-5
Express (-17*w + 12*w - 1 + w**2 + 6*w)*(36*w**2 + 100*w - 100*w) as p*w**4 + a + s*w**3 + d*w**2 + x*w and give p.
36
Express h**4 - 3*h**4 + 3*h**4 - 3*h**3 + (-3*h + 5*h + 0*h)*(2*h**3 - 2*h**3 + h**3) - h**4 + 2*h**4 + 2*h**4 as b*h**3 + m*h**2 + l + s*h + j*h**4 and give j.
6
Rearrange (-6*p**3 + 35*p**3 + 11*p**3)*(7 - 3 - 11) to the form c*p**3 + b*p + n*p**2 + q and give c.
-280
Express 3*p**2 + p**3 - 4*p**3 + 13*p**4 - p**2 - 20*p**4 - 25*p**4 - 3*p as q*p**4 + x*p**3 + k*p + h*p**2 + n and give n.
0
Express -127 - 145 - 2*u**2 + 213 as t*u**2 + h*u + x and give x.
-59
Rearrange (2*l**2 + 0*l**2 - l**2)*(-28*l - 12*l + 5*l + (2*l - 3*l + 3*l)*(-1 + 2 + 0)) to m + d*l**2 + a*l + o*l**3 and give o.
-33
Rearrange (68*p - 25*p - 31*p + 3)*((0 - 2 + 3)*(-2 + 4 + 0) + 2 + 1 - 2) to the form c*p + g and give g.
9
Express -32*m + 2*m**4 - 54017*m**3 + 54017*m**3 + 2*m**2 in the form i*m**3 + v*m + d + p*m**2 + f*m**4 and give i.
0
Rearrange -48*h**2 - 4*h + 0*h + 40*h - 38*h to p*h + n*h**2 + i and give n.
-48
Express -2 - 49*y**2 - 3*y**2 + 6*y**4 - 18*y**4 + 10*y**4 as t*y**4 + p*y**3 + r + u*y + g*y**2 and give p.
0
Rearrange (1 + 1 + 0)*(-47 + 889*m + 1978*m + 47) to z + l*m and give l.
5734
Rearrange -7 - 5*s**3 + 7 + (3*s - s - 3*s)*(3*s**2 - 5*s + 5*s) + (6 + 2 - 4)*(s**3 + 3*s - 3*s) to p + m*s**2 + l*s + n*s**3 and give n.
-4
Rearrange -76*m - 76*m + 141*m to the form c*m + k and give c.
-11
Express d**2 - 22*d**4 + 26*d**4 + 2*d + 4*d**2 - 13*d**4 + 4 in the form m*d**3 + q*d**2 + a*d**4 + o*d + f and give q.
5
Express -24 - 6 + 64 + 2*z + 6*z**2 in the form w*z**2 + u + g*z and give u.
34
Express 1154*a**2 + 955 - 955 as s*a + l + r*a**2 and give l.
0
Rearrange (2*v + 4*v - 9*v)*(v - 37 - 16 + 23) to the form q + f*v + h*v**2 and give h.
-3
Rearrange ((6 - 1 - 3)*(1 - 4 + 4) + (17 - 6 - 3)*(5 + 0 - 3))*(5*h - 2*h - h)*(h**2 + h**2 - 4*h**2) to s*h**2 + n*h**3 + v*h + l and give n.
-72
Rearrange 46*l + 0*l**2 + 10*l + 0*l**2 - l + 2 - 2*l**3 to k*l + m*l**2 + x*l**3 + p and give x.
-2
Express -263*h - 551*h - 452*h in the form f*h + k and give f.
-1266
Express (0 + 17 - 3 + (-1 + 4 - 1)*(3 + 4 - 6) - 2 - 2 + 2)*(-3*z**2 + z**2 + 3*z**2) in the form q + y*z + d*z**2 and give y.
0
Rearrange 8*q**2 - 2 - 39*q + 103*q - 53*q to the form s*q**2 + n*q + y and give n.
11
Express (-150*s + 83*s - 143*s)*(s + s - 4*s) in the form g*s + o*s**2 + u and give o.
420
Express 16*v**2 + 8*v**2 - v**2 + 7*v**2 - 4*v**2 in the form l*v**2 + d + z*v and give l.
26
Express -304*w**3 + 651*w**3 - 286*w**3 + w**2 in the form b*w + i*w**3 + u*w**2 + y and give y.
0
Rearrange (33 + 27 - 2*s - 9)*(-6 + 4 + 0) to g*s + m and give g.
4
Express 32 - 14 - 499*u - 18 in the form l*u + t and give l.
-499
Rearrange -1 + 4*b + 1 + 3*b + 3*b - 4*b + (b + 0*b - 2*b)*(-1 + 1 - 2) + (6 - 2 - 3)*(2*b + 0*b - 4*b) + 3*b + b - 3*b to w + f*b and give f.
7
Rearrange 166*r - 230 + 229*r + 230 to j*r + s and give j.
395
Express 1 - 36*t**2 + 29*t**2 - 2 - 1 in the form k*t**2 + r*t + y and give y.
-2
Rearrange (-3*c**2 - 2*c**2 + 7*c**2)*(-6*c**2 + 2711*c - 29 + 2718*c - 5424*c) to x + a*c**3 + w*c**2 + o*c**4 + f*c and give w.
-58
Express -4*r**2 - 1 - 89*r + 90*r - 2 - 3*r**3 as u*r**2 + z*r**3 + f*r + b and give u.
-4
Express -40*b**2 - 15*b**2 + 6*b**2 + (-1 + 1 + 6*b)*(2*b + 1 - 1) - b**2 + 0*b**2 + 0*b**2 in the form g + v*b**2 + j*b and give v.
-38
Rearrange 0*b - 9*b + 11 + 9 + 7*b to the form a*b + i and give a.
-2
Express (-2 + 2 - u)*(2 - 9 + 4)*(-19*u - 36*u - 1 + 19*u) as s + c*u + h*u**2 and give h.
-108
Rearrange 4*p**3 - 3 + 4 + 2*p - 3 + 41*p**2 - 23*p**2 - 28*p**2 to the form q*p**3 + l*p + f*p**2 + b and give q.
4
Rearrange -16*x**2 - x + 59*x**2 + 21*x**2 + 0*x**2 to h*x**2 + b*x + t and give h.
64
Rearrange (-433*y - 196*y - 37*y)*(-3*y**2 + 3*y**2 - 5*y**2) to the form r*y + q*y**3 + l*y**2 + u and give q.
3330
Rearrange -4647 + 595*s + 2318 + 2329 to the form g*s + t and give g.
595
Express 8 - 8 - 427*y + 434*y as m + c*y and give c.
7
Rearrange (8 - 2 - 7)*(0 - 1 - 2)*(-4*f**3 + 14*f**3 + 2*f**3) to t + x*f**3 + w*f + m*f**2 and give x.
36
Express -18*b**2 - 27*b**2 + 427*b**2 as j*b**2 + a + s*b and give j.
382
Rearrange -5 - 1632*b - 1820*b + 2745*b + 5 to the form o + m*b and give m.
-707
Express 138*i + 1 + 2 - 9 + 2 in the form o + k*i and give o.
-4
Rearrange (3*d**2 + 6*d**2 + 11*d**2)*(-4 + 4 - 3)*(6*d + 4*d - 6*d) to j*d**2 + f*d + u*d**3 + i and give u.
-240
Express (-o + o - 3*o**2)*(o**2 + 0 + 0) + 35*o**4 - 46*o**4 - 73*o**4 as a*o**4 + w*o**3 + n*o + k + b*o**2 and give a.
-87
Express 2*g + 10 + 0*g - 12 + 3*g - 12*g**2 as t*g + n*g**2 + j and give j.
-2
Express 94 - 6*w - w**4 - 44 + 2*w - w**3 + 2*w**2 - 49 in the form q*w**3 + n*w + p*w**2 + i + r*w**4 and give i.
1
Rearrange -2*j**2 - 23*j - 83*j**4 + 24*j + 29 - 31 to r*j**4 + i*j + c*j**3 + t*j**2 + g and give r.
-83
Express (7 - 3 + 4)*(-19*c + 11*c - 24*c) in the form k*c + s and give k.
-256
Express -13*l**3 + 26*l**3 - 5*l**2 - 14*l**3 + 2*l + 3*l**3 - 2*l**4 + 2 as m*l**4 + q*l**3 + j*l**2 + p + f*l and give p.
2
Rearrange 0*t**3 + t**3 - 2*t**3 + (1 + 2*t - 1)*(0*t**2 + 2*t**2 + 0*t**2) - 10*t**3 - 77*t**3 - 85*t**3 to the form x + h*t**2 + n*t**3 + i*t and give n.
-169
Express -23*h**2 - 5*h**2 - h**3 + 2*h**2 - 2*h as p*h**3 + b + a*h**2 + t*h and give a.
-26
Rearrange (-3*n**4 + 12*n**4 - 32*n**4)*((0 + 3 - 5)*(2 - 1 + 0) + 0 + 0 - 3 + 3 - 3 - 5) to f*n**3 + w + s*n**2 + c*n + d*n**4 and give d.
230
Express (-22*o + 22*o + 2*o**2)*(10 - 3 + 1)*(1 - 1 - 2)*(-3 - o + 3) + 0*o**3 - o**3 + 2*o**3 as s + u*o + z*o**2 + p*o**3 and give p.
33
Express (-105 - 88 + 219)*(1 - 7*b**2 - 3 + 1 + 0) as z + u*b + s*b**2 and give s.
-182
Rearrange -559 - 216 + 209 + 2*x to the form j*x + m and give m.
-566
Express -562*m + 0 + 2 + 569*m in the form p*m + t and give t.
2
Express -57*n - 10 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
(c) -0.1
b
What is the third smallest value in -0.45, 0.01, 43?
43
Which is the third biggest value? (a) -2 (b) 0.4 (c) 27 (d) 3
b
Which is the fourth biggest value? (a) -2 (b) 2 (c) -0.4 (d) 87.6
a
What is the fourth biggest value in 2/3, 43, -5, 0.78?
-5
What is the fourth smallest value in 4, -2/7, -2/3, -14/5, 3?
3
Which is the second biggest value? (a) -5 (b) -1/6 (c) 6/11 (d) 0
d
What is the third biggest value in 0.4, 2, 0.062?
0.062
Which is the third biggest value? (a) -2/25 (b) -51 (c) -0.4 (d) -1
d
Which is the third biggest value? (a) 2 (b) 2/31 (c) -2 (d) -2/5
d
Which is the second smallest value? (a) 14/11 (b) -8 (c) 0.4 (d) -1/2 (e) -1/4
d
What is the biggest value in 2, 5, -0.2, -486?
5
What is the third smallest value in 2/3, 4, 1/2, -2/7?
2/3
Which is the biggest value? (a) -4 (b) -2/17 (c) -4/45
c
What is the fourth biggest value in -0.1, -12, -1, 0.1?
-12
What is the smallest value in -8, 2, -1, 5?
-8
What is the fourth smallest value in -4, 3/10, -1/2, -0.05?
3/10
What is the third smallest value in -82/7, 5, -4, -4/3?
-4/3
Which is the second biggest value? (a) 2 (b) 2/9 (c) 2/43 (d) 3/5
d
Which is the second biggest value? (a) 23.2 (b) 0.5 (c) -0.5
b
What is the second smallest value in -2, 2/9, 0, 0.4?
0
Which is the third smallest value? (a) 0.01 (b) 9 (c) -9
b
What is the second biggest value in 0.07, 2/11, -3, -0.2?
0.07
What is the second biggest value in -0.4, 1, 0.01, -6?
0.01
What is the second biggest value in 2, -34, 5?
2
Which is the third smallest value? (a) -2 (b) -0.4 (c) -4/49
c
What is the smallest value in 2/21, 0.5, 4, 1/8?
2/21
What is the second biggest value in -0.2, -5, -493?
-5
What is the second biggest value in 2.2, 2/7, -1/5, 0.4?
0.4
Which is the third smallest value? (a) -2 (b) 1/5 (c) -3125
b
What is the smallest value in -2, -29.6, 0.4?
-29.6
Which is the third smallest value? (a) -5 (b) 5 (c) 0.31 (d) 1/6 (e) 4
c
Which is the biggest value? (a) -4 (b) 5 (c) 1.045
b
What is the fourth biggest value in 5, 1/4, -2, -34?
-34
What is the biggest value in 1.7, 2/5, 0.1?
1.7
Which is the third smallest value? (a) 2 (b) -0.4 (c) 0.1
a
Which is the biggest value? (a) 1/3 (b) 0.2 (c) 2/19 (d) -2/7
a
Which is the third biggest value? (a) -1/5 (b) -35 (c) -2 (d) 0.3
c
Which is the second biggest value? (a) 3 (b) 0.02 (c) -29.1
b
What is the second smallest value in 4, 1/2, 7?
4
What is the smallest value in 3/4, -3, -4, 0.12?
-4
What is the smallest value in 0.3, 4, 0.4, -1?
-1
Which is the second smallest value? (a) 47 (b) 4/5 (c) 3/7
b
What is the biggest value in 3, -8, 5, 1?
5
What is the third smallest value in 3, -1, 28/9?
28/9
Which is the biggest value? (a) -2/13 (b) -1/8 (c) 3107
c
What is the fourth smallest value in 0.4, 0.5, -0.4, -0.18?
0.5
Which is the second smallest value? (a) -9 (b) -2 (c) -0.9 (d) -1
b
Which is the third biggest value? (a) 0 (b) 2/13 (c) 3 (d) 365
b
Which is the fourth biggest value? (a) 0.3 (b) 0.05 (c) 0 (d) 37 (e) -0.3
c
Which is the third smallest value? (a) 2/3 (b) -0.6 (c) 0 (d) -0.36
c
What is the third biggest value in 2/13, -1, -5/3?
-5/3
Which is the third smallest value? (a) -0.1 (b) -0.7 (c) -5 (d) 2
a
Which is the second biggest value? (a) 3 (b) -3 (c) -1/19
c
What is the biggest value in 0, 1, 0.5, -2/15?
1
What is the second smallest value in 0.85, -0.5, -4?
-0.5
Which is the second biggest value? (a) 0.5 (b) -6 (c) -2 (d) 79 (e) 0
a
Which is the second smallest value? (a) 3 (b) -24 (c) -1/4 (d) -8/3 (e) 1/6
d
What is the second smallest value in 4, 44, -0.4, -0.1?
-0.1
What is the third smallest value in 1/5, 0, 2/3, -67/3?
1/5
Which is the third smallest value? (a) -11 (b) -0.66 (c) -0.4
c
Which is the fifth biggest value? (a) 6 (b) 1/3 (c) 2/3 (d) 51 (e) 5
b
What is the biggest value in -1, 0.09, -3, -58?
0.09
What is the third biggest value in -3/5, 1/7, -2897?
-2897
Which is the second smallest value? (a) 39 (b) 4 (c) 0
b
Which is the third smallest value? (a) 10/7 (b) -1 (c) 84
c
What is the biggest value in 2, 0.5, -0.63, -2?
2
What is the third smallest value in -1, -9/4, 0.33?
0.33
Which is the third smallest value? (a) 0.3 (b) -3 (c) 0.9 (d) -1
a
Which is the third biggest value? (a) -2/53 (b) -2 (c) -4 (d) 0.2 (e) 1
a
Which is the second biggest value? (a) -0.1 (b) 9 (c) 0.6 (d) -19 (e) 3
e
What is the third biggest value in -0.1, -4/7, -46, 4?
-4/7
Which is the biggest value? (a) 0.4 (b) -1/30 (c) 2/3 (d) -2
c
What is the third biggest value in -5, -3/8, -2, 4, -2/11?
-3/8
Which is the biggest value? (a) 8 (b) -2/3 (c) -0.2 (d) -6
a
Which is the third smallest value? (a) 1/2 (b) 16 (c) -5 (d) -0.5
a
Which is the third biggest value? (a) 0 (b) -1 (c) 411
b
Which is the third biggest value? (a) -2/37 (b) 1 (c) 0.2
a
Which is the smallest value? (a) 0.3 (b) -1/41 (c) -0.06
c
What is the second smallest value in 7, -2/29, -4?
-2/29
Which is the fifth smallest value? (a) 18 (b) -1 (c) -2/7 (d) 5 (e) 5/8
a
Which is the biggest value? (a) 48 (b) -40/9 (c) -3 (d) 0
a
Which is the fifth smallest value? (a) -7/4 (b) 4 (c) -1 (d) 1/5 (e) -0.14
b
Which is the third biggest value? (a) -2 (b) 1.4 (c) -8/17
a
Which is the second biggest value? (a) -9 (b) -5 (c) 1/4 (d) -0.4 (e) -3
d
What is the smallest value in -3, -4, 0.06, 2, 2/9?
-4
What is the third smallest value in -1/2, -3/7, -5.8?
-3/7
What is the second biggest value in 7/3, -0.05, -5, -1?
-0.05
Which is the smallest value? (a) -155 (b) -2/9 (c) 1
a
What is the smallest value in -72, -0.4, 3, 4?
-72
What is the biggest value in -61, 1, -2?
1
Which is the smallest value? (a) -5 (b) 169 (c) 4/7
a
What is the third biggest value in -3, 4, -2/17, 0.2?
-2/17
Which is the third smallest value? (a) -4 (b) -36 (c) 0.2
c
What is the fourth smallest value in 5, -4, -2, 3/8?
5
What is the third biggest value in 4/5, 2/3, 4, -0.3?
2/3
What is the third biggest value in 0.5, -0.09, -5, 1/6?
-0.09
What is the second biggest value in 1/2, 4/7, -0.9?
1/2
Which is the smallest value? (a) 0.3 (b) -0.04 (c) 2.4 (d) 1/5
b
Which is the smallest value? (a) 0.04 (b) -3/7 (c) -6
c
Which is the biggest value? (a) 591 (b) -2/9 (c) 4/5 (d) -3
a
What is the second biggest value in -20, 0, 0.3?
0
What is the fourth biggest value in 0, -5, -22, -0.5?
-22
Which is the smallest value? (a) -0.5 (b) 1309 (c) 1
a
Which is the second smallest value? (a) 0 (b) 2/419 (c) -1/7
a
What is the second biggest value in -0.08, 2.3, -2?
-0.08
Which is the second smallest value? (a) 2900 (b) -0.4 (c) -3
b
Which is the second smallest value? (a) -0.1 (b) 1.3 (c) -5 (d) -0.5 (e) -4
e
What is the second smallest value in -6/11, 3, -0.4, 1, 2?
-0.4
Which is the third smallest value? (a) 5 (b) -3 (c) 116 (d) -0.5
a
Which is the smallest value? (a) 11/9 (b) 0.02 (c) 4
b
What is the smallest value in 0.4, 0, 3/979, -3?
-3
What is the third biggest value in 4, 0.4, 1/2, -2/9?
0.4
What is the third biggest value in 3, 4, -0.01, 63?
3
Which is the third biggest value? (a) 0.1 (b) -8 (c) -2/171
b
What is the biggest value in 3, -0.2, -4, -0.06?
3
What is the biggest value in -2/25, -8, 5?
5
Which is the third smallest value? (a) -0.3 (b) -256 (c) -4
a
Which is the second smallest value? (a) 1 (b) 3.8 (c) 4 (d) 0
a
Which is the fourth smallest value? (a) -5 (b) -15 (c) 0.5 (d) -1 (e) -4
d
Which is the smallest value? (a) -8 (b) 1.21 (c) 3/2
a
Which is the biggest value? (a) 1 (b) -4 (c) -3 (d) -219
a
Which is the second biggest value? (a) -6/91 (b) 2/3 (c) -3
a
What is the second biggest value in 5, 12/19, -0.06?
12/19
What is the second biggest value in 0.1, -2/11, 3, 1/7?
1/7
What is the third smallest value in 15/7, -0.4, -5, 0.1, -4?
-0.4
What is the fourth smallest value in -1, -3, -3/7, 0.04?
0.04
What is the biggest value in 0.075, 0, 2/7?
2/7
Which is the biggest value? (a) -2 (b) -1.1 (c) -1/15
c
What is the fourth biggest value in 24, -2/11, 0.02, -5?
-5
Which is the smallest value? (a) -0.2 (b) 2 (c) -2/5 (d) -2/15 (e) 14
c
What is the biggest value in 5, 0.4, -12/13?
5
What is the biggest
|
{
"pile_set_name": "DM Mathematics"
}
|
ositive.
1
Simplify ((x*x**4)/x*x/(x**(-7)*x))**4 assuming x is positive.
x**44
Simplify (z*z*z*z**(-2))/(z*z**(-4/9)*z*z*z*z)*z**2/(z*z*z**(-2)) assuming z is positive.
z**(-14/9)
Simplify d*d*d/d**(-8)*d**1*(d/(d/d**6))/d**(-5) assuming d is positive.
d**23
Simplify (w/(w*w**2))**(1/4)/(w**(-10)*w/(w**(-1/4)*w)) assuming w is positive.
w**(37/4)
Simplify (f**(-8)/f**0)**21 assuming f is positive.
f**(-168)
Simplify (v**(-1/3))**0/(v**(-4)/v**(-6)) assuming v is positive.
v**(-2)
Simplify v**(-6)/(v*v**(1/5))*((v/(v/v**0*v)*v)/v)**(26/3) assuming v is positive.
v**(-238/15)
Simplify (b**2/b**(1/8))/((b/b**(2/7))/b*b*b/(b/((b*b**(-4/7)*b)/b)*b*b*b)) assuming b is positive.
b**(209/56)
Simplify ((r**(3/5)*r)/r*r**(5/2))**(-11) assuming r is positive.
r**(-341/10)
Simplify (a/(a/(a*a**(-2/9))))**(11/7)*(a*((a/a**(-3/2)*a)/a)/a)/a**(-2/3) assuming a is positive.
a**(79/18)
Simplify (u**(2/27))**(10/11) assuming u is positive.
u**(20/297)
Simplify o**1/(o**8/o)*(o/o**(2/3)*o)**16 assuming o is positive.
o**(46/3)
Simplify ((l*l**(-7)*l)/((l*l*l**(-3)*l)/l))/((l/l**(-1/9))/l**(-1/10)) assuming l is positive.
l**(-469/90)
Simplify (o**(-3)/o)/o**(-2/9) assuming o is positive.
o**(-34/9)
Simplify (z*z**(2/13)*z*z*z**5*z)/(z**0*z**(-1/5)) assuming z is positive.
z**(608/65)
Simplify ((l**(-9/2)*l)/(l/(l/(l/(l*l*l**(-4/5)*l))*l)))**(1/7) assuming l is positive.
l**(-13/70)
Simplify (f*f*f**(3/5)*f*f*f**3)**(-2/73) assuming f is positive.
f**(-76/365)
Simplify (((((l/(l*l**1))/l)/l*l)/l)/l)**(-30) assuming l is positive.
l**120
Simplify v/(v**(-11)*v*v)*v*v*v*v*v*v*v**(1/78) assuming v is positive.
v**(1249/78)
Simplify (s/(s*s**(12/11)/s))**50 assuming s is positive.
s**(-50/11)
Simplify (j/(j*j/(j*j**(-2/5)*j)))**18 assuming j is positive.
j**(54/5)
Simplify ((l*l**(-7)/l)**(-17))**(-1/7) assuming l is positive.
l**(-17)
Simplify ((y/y**(-2/7))/(y/y**(3/2)))/(y**7*y*y**(1/4)/y) assuming y is positive.
y**(-153/28)
Simplify (q**(3/7)/q*q**1)/(q**(2/13)*q*q**(-5)) assuming q is positive.
q**(389/91)
Simplify g*g/(g/(g**(-1/19)/g))*g*g*g/((g/g**(2/21))/g) assuming g is positive.
g**(1214/399)
Simplify (w**(-24)*w)**(7/2) assuming w is positive.
w**(-161/2)
Simplify (u*u*(u*u*(u*u**(-3/4))/u*u)/u*u)**(-5/6) assuming u is positive.
u**(-85/24)
Simplify (p**9)**(26/9) assuming p is positive.
p**26
Simplify (n**(2/7))**(14/9) assuming n is positive.
n**(4/9)
Simplify (a**(-3/5)*a*a*a*a**(-2/7)*a)/(a**(-6)/a**(1/3)) assuming a is positive.
a**(992/105)
Simplify (q/(q*q**(2/7)))**(-44)*q/(q/(q*q/(q*q*q**(-4/3)*q*q*q)))*q*q*q/(q/q**(-5/4)) assuming q is positive.
q**(979/84)
Simplify z/z**(-3)*z**(-3/8)/z*(z**(2/7))**(-4) assuming z is positive.
z**(83/56)
Simplify ((k/(k**1/k*k))**(-13))**(3/7) assuming k is positive.
1
Simplify (y*y**(-5))**21 assuming y is positive.
y**(-84)
Simplify (n*n**8)/(n*n**(-3/11)) assuming n is positive.
n**(91/11)
Simplify n**(-1/4)/((n/(n/n**8))/n)*(n/(n/n**(-2)))**(21/4) assuming n is positive.
n**(-71/4)
Simplify (((n/(n*n*n**(-7)/n*n))/n)/n**(2/7))/(n**(-1/2)*n*((n*n**(-1/8))/n)/n) assuming n is positive.
n**(299/56)
Simplify (f**(2/3)/f**6)**3 assuming f is positive.
f**(-16)
Simplify ((j**(-2/7)*j)/j)/j*j/j**27 assuming j is positive.
j**(-191/7)
Simplify (w*w**1*w)/w**(-3/2) assuming w is positive.
w**(9/2)
Simplify (c/(c**(-8)/c)*c**(-5))**(-6/13) assuming c is positive.
c**(-30/13)
Simplify (x**(-1)/x)**(-7/4)*x*x**(-2/9)*x**(-1/5) assuming x is positive.
x**(367/90)
Simplify ((n/(n/(n**1/n)))/n)/(n**(11/3)*n) assuming n is positive.
n**(-17/3)
Simplify (f/f**(22/3))/f*f**(7/5) assuming f is positive.
f**(-89/15)
Simplify ((n/n**(-5))/n)**(-12) assuming n is positive.
n**(-60)
Simplify o**(14/3)*o*o**(1/21) assuming o is positive.
o**(40/7)
Simplify (u/(u*u*u**(-1/3)*u*u))**(-13)/(u/u**(2/5)*u)**37 assuming u is positive.
u**(-368/15)
Simplify (t*t*t**27*t)**29 assuming t is positive.
t**870
Simplify p**(28/3)/((p/(p**(2/9)*p))/p) assuming p is positive.
p**(95/9)
Simplify ((k/(k/k**(-1/4)))/k)**(8/7)*k**(-2)/k**4 assuming k is positive.
k**(-52/7)
Simplify c**14*c*c**(-26) assuming c is positive.
c**(-11)
Simplify t**(4/3)/t**(-21) assuming t is positive.
t**(67/3)
Simplify (u*u/u**(-1/3))**(1/3)*(u/(u**(-3/7)*u))/u*u*u**(5/4) assuming u is positive.
u**(619/252)
Simplify (f*f**17*f)/(f/f**(9/4)) assuming f is positive.
f**(81/4)
Simplify (i/((i*i**2)/i)*i)/(i*i**5/i*i)*i**(-4)*i**1 assuming i is positive.
i**(-9)
Simplify (b*b**(-1/18))**4 assuming b is positive.
b**(34/9)
Simplify (g/(g/g**(-2/3)))/g**18 assuming g is positive.
g**(-56/3)
Simplify (h*h**(-1/2)/h)**(-2)/((h/(h*h*h*(((h*h**(-1))/h)/h)/h)*h*h)/h**(-9)) assuming h is positive.
h**(-11)
Simplify (r**(-1))**(-6/19)*r/(r*r**(-4)*r*r)*r*r**0 assuming r is positive.
r**(63/19)
Simplify (d**(2/25)*d*d/d**(1/15))**(-36) assuming d is positive.
d**(-1812/25)
Simplify (g**5/g**(1/7))**(-9/7) assuming g is positive.
g**(-306/49)
Simplify ((a/((a**1*a)/a))/(a/(a**(-4/7)*a*a)))**(1/34) assuming a is positive.
a**(3/238)
Simplify (r/(r**(-9)*r))/r**19 assuming r is positive.
r**(-10)
Simplify ((s**(-1/3)*s)/s*s/(s/s**(-2/7)))**(-9/4) assuming s is positive.
s**(39/28)
Simplify ((g*g*g/g**16*g)/(g*g/g**(2/63)*g))**(-2/83) assuming g is positive.
g**(1886/5229)
Simplify t**(-11)*t/t**(-28) assuming t is positive.
t**18
Simplify p**(-6)/p**(-1/4)*(p*p*p*p/(p*((p*p/(p/(p*p**(-2/7)/p*p))*p)/p*p*p)/p)*p)**(9/8) assuming p is positive.
p**(-241/56)
Simplify (a**1)**(-22)/((a*a**(-9)/a)/a**(-7)) assuming a is positive.
a**(-20)
Simplify (t**(-2/21)*t*t**(2/9)*t)/((t/(t/t**(-2/5)))/t**4) assuming t is positive.
t**(2056/315)
Simplify v**(-7/10)*v**(10/9) assuming v is positive.
v**(37/90)
Simplify ((r*r**(-6))/r)**(-7) assuming r is positive.
r**42
Simplify o**(3/20)/o**18 assuming o is positive.
o**(-357/20)
Simplify ((r**(2/3)/r)/r)/r*r/(r/(r/(r*r*r**3*r)))*r**(1/12)*r/r**(-2/9) assuming r is positive.
r**(-217/36)
Simplify ((q/(q*q**(-10)))/q*q)/(q/(q/(q/((q/(q**(-2/11)/q))/q)))) assuming q is positive.
q**(112/11)
Simplify (y**(-1)/(y*y*(y*y/y**(-7))/y))/(((y*y**6*y)/y)/(y/(y*y/((y*y**(1/4))/y)*y))) assuming y is positive.
y**(-79/4)
Simplify ((o*o/((o/o**2*o)/o))/o)**(-20)/(o**(-1/5))**22 assuming o is positive.
o**(-178/5)
Simplify (a**3*a)**42 assuming a is positive.
a**168
Simplify (y/(y**(-18)*y)*y)/(y**(-5/3)/y) assuming y is positive.
y**(65/3)
Simplify ((s**(-7/2)/s)/(s/(s/(s*(s**18/s)/s)*s)))**23 assuming s is positive.
s**(-943/2)
Simplify (s**(-3))**(-43) assuming s is positive.
s**129
Simplify d*(d*d**(-2/17))/d*d*d**(-9)/d assuming d is positive.
d**(-138/17)
Simplify t**(1/17)/(t*(t*t/t**1)/t*t) assuming t is positive.
t**(-33/17)
Simplify (j*j*j**(2/9)/j*j**8)/(j**(1/3)/(j/(j**(-1/13)*j))) assuming j is positive.
j**(1049/117)
Simplify d/d**(-5)*d/((d**(-2/9)*d)/d)*(d/(d/((d*d**(1/4))/d*d*d)))**23 assuming d is positive.
d**(2123/36)
Simplify (c**(-1)*c**(5/2)*c)**(13/2) assuming c is positive.
c**(65/4)
Simplify (o**(-1/32)/o*o**(10/3))**(-3/25) assuming o is positive.
o**(-221/800)
Simplify c**2/c**(-1/15)*c**(-2/17)/c*c*c**(-4) assuming c is positive.
c**(-523/255)
Simplify (c**8/(c/c**1))/(c**7/c*c**(2/11)) assuming c is positive.
c**(20/11)
Simplify o*o**(1/4)*o**(-2)*((o*o*o*o*o**(-2/15)*o)/o)/o*o**(1/3)*o assuming o is positive.
o**(69/20)
Simplify (n/(n**(-10/9)*n))**(-2/41) assuming n is positive.
n**(-20/369)
Simplify (y**0/y**(-2))/(y*y*y**(2/5))**(-1/4) assuming y is positive.
y**(13/5)
Simplify (i*i*i/i**23)/(i*((i**18*i)/i)/i*i) assuming i is positive.
i**(-39)
Simplify s**5/(s*s**(-2))*s**(2/3)/s*s**1 assuming s is positive.
s**(20/3)
Simplify d**(-4)/(d/((d/d**16)/d)) assuming d is positive.
d**(-21)
Simplify j**(-5)/j**(2/25) assuming j is positive.
j**(-127/25)
Simplify (z**2*z*z)/z**(-2/15) assuming z is positive.
z**(62/15)
Simplify (g*g**(-7))/((g/(g/((g*g**(-17))/g))*g)/g) assuming g is positive.
g**11
Simplify (f**(1/5)/(f*f**4))**(-21) assuming f is positive.
f**(504/5)
Simplify (c**(-27)*c)/(c/c**(-2/59)*c) assuming c is positive.
c**(-1654/59)
Simplify ((f/f**(-3/5)*f)/f*f)/f*((f/(f*f**(-2)))/f*f)/f assuming f is positive.
f**(13/5)
Simplify n**(-7/3)*n**(2/11)*n*n*n assuming n is positive.
n**(28/33)
Simplify (i**(-3)/i**(2/7))
|
{
"pile_set_name": "DM Mathematics"
}
|
16. Suppose -10 = -v*l + 2. Solve -l*h + 2*n + 5 = 3*n, -4*n - 16 = p for h.
3
Suppose 16*b = 12*b + 420. Let u be (b/(-6))/(-7)*2. Solve 2*k + 19 = -u*d - 9, 20 = -d - 4*k for d.
-4
Let o(y) = -y**2 + 5*y + 5. Let p be o(5). Suppose c = p - 0, -1 = 4*t - 5*c. Let u = -1 + t. Solve u*d + z + 12 + 8 = 0, 0 = d - 4*z - 17 for d.
-3
Let j be 220/33*3*2/4. Suppose 5*s - j*s + 35 = 0. Solve -12 = 3*x + a, -s*x + a = -2*x + 20 for x.
-4
Let c = -396 - -398. Let t = 3 - 6. Let v = t - -5. Solve -3*q = b + 9, c*b - 3*q - q - v = 0 for b.
-3
Suppose 10 = 2*s, -5*s + 35 - 10 = 2*m. Suppose -2*c + 5*a - 4 = 6, -3*c + 5*a - 10 = m. Solve -2*j - 4*k + 26 = 0, 4*k - 10 - 6 = c for j.
5
Let a = 1268 - 1264. Solve w = a*o + 4, -6*w + 11*w = 0 for o.
-1
Let v = 356 + -353. Solve -v*y = -2*r - 10, -2*y = 3*y - 10 for r.
-2
Let s(z) = z**3 - 26*z**2 - 22*z - 135. Let l be s(27). Solve l = 4*n - 2*g - 8, 5*n - 9 = 3*g for n.
3
Suppose 22*k = 7*k + 60. Solve 0 = -2*l - 6, -5*d - k = -l - 2 for d.
-1
Let w(l) be the second derivative of l**4/12 + 3*l**3/2 + l**2 + 6*l. Let p be w(-9). Let h be (-1)/(-5) - p/10. Solve b - i = -4*b - 26, 2*b + i + 9 = h for b.
-5
Let l = 2140 + -2135. Solve -4*r = -2*o - 35 + 15, -r + 2*o + l = 0 for r.
5
Let f be (4 - -4) + (3 - 8). Solve 0*g + 5*g = u - 25, f*u = -g - 5 for g.
-5
Let l(f) = 7*f**2 + 2*f - 22. Let q be l(2). Solve 15 = 5*p + 4*w - q, 0 = -4*w for p.
5
Let u(h) = -6*h + 8 + 5 + 6*h**2 - 3*h - 5*h**2. Let c be u(10). Let o = c + -8. Solve 3*y - 8*y - o = -2*w, y - 19 = -4*w for y.
-1
Let r be (1/2)/(4/8). Suppose -r + 7 = 3*l. Solve -3*j - l*p = 20, 0*p + p = -2*j - 12 for j.
-4
Let s = 3987 + -3983. Let m = -5 + 0. Let o = -2 - m. Solve -2*h = -s*f - 6, 5*h = o*f - 5 - 1 for f.
-3
Suppose 2*z + 16 = -3*y, 15 = -3*y - z - 5. Suppose 0 = 2*c - 21 + 3. Let r = c + y. Solve 24 = -5*w - 4*x, w - r = -5*x - 10 for w.
-4
Let o = -59 + 89. Suppose 4*w = 5*s + 28, 5*s + o = -w + 6*w. Solve -2*m + 3*j + 5 = 0, 3*j - 13 = w*m + 6*j for m.
-2
Suppose 3*y = 2*v + 2*v - 351, -2*y - 10 = 0. Let o = v - 42. Suppose 6*n + o = 114. Solve -4*f + 8 = -3*q - q, 0 = -2*f + 4*q + n for f.
-2
Suppose 4*m = -18*x + 178, 8*x = -4*m + 12*x + 68. Let h = -2 + 6. Solve g = -4*r - 4, 4*r + 6 = h*g + m for g.
-4
Suppose 80 = 8*t + 12*t. Solve -2*l + 6*k = t*k - 8, 2*l - 14 = 4*k for l.
1
Let i = -30 - -38. Suppose -4*s = 2*b - i, -5*s - 12 = -9*b + 6*b. Solve 3*o + 2*l + s*l = 19, -2*o + 2*l = 4 for o.
3
Let p be -72*-4*(-5)/(-15). Let l be 2 - (4/14 + p/56). Solve l = 3*a - 5*o - 5, 0*o = a - 5*o - 5 for a.
0
Suppose 0 = -4*o + 1 - 25. Let h = 8 + o. Suppose 5*g - 24 = 3*a, -3 = -3*g + 7*g + 5*a. Solve h*s = -g*f - 13, 0 = s + 2 for f.
-3
Let f = -15 + 26. Solve 2*h = 5*k + h - 8, 4*h + f = -k for k.
1
Let j be 33/9 + 15/45. Solve 2*l - 10 = 4*n, -j*l + 0*l + n + 13 = 0 for l.
3
Let t(v) = 2*v**2 - 14*v + 4. Let a be t(7). Suppose 6*h = -a*h + 4*h. Solve -5*x - 2 = -4*x + 3*n, -3*x + 4*n - 6 = h for x.
-2
Let y = 84 - 82. Solve y*d + 3 = -5*z - 0, 0 = -3*z - 4*d - 13 for z.
1
Let z(s) = s**3 - 3*s**2 + 2*s - 2. Let u be z(2). Let w be u*7/(42/(-9)). Solve 3*k + 10 = w*m - m, -5*m = -k + 1 for k.
-4
Suppose 2*u - 12 + 6 = 0. Suppose f - 2 = -x + 3, -f - 20 = -4*x. Let g be (-3 + f)*(-2)/u. Solve i - 5*i = -d - 8, -i + g = 0 for d.
0
Let d = -20 - -30. Suppose -4*z - 4*a + 12 = z, 5*a = -5*z + d. Solve 0*f - t = f - 3, 4*f - 28 = z*t for f.
5
Let b(r) = -r**3 + 5*r**2 - 2*r + 1. Let p be b(4). Suppose 2*n - 5*n = -p. Suppose -1 - 11 = -n*s. Solve 4*c - 11 = -0*c - 3*a, -a = c - s for c.
-1
Let m(u) = 7*u - 26. Let h be m(4). Solve 0 = 4*i + 3*x + 9, 0 = -x - h*x + 3 for i.
-3
Let b = 774 - 772. Solve 0 = -t + 2*t + x - b, -1 = x for t.
3
Let t(o) = 75*o + 78*o + o**2 - 161*o + 11. Let p be t(7). Solve -5*u = -5*r + 45, 3*r - p*u - 8 = 23 for r.
5
Suppose -n - 16 = 2*n + 5*l, -4*l + 2 = -5*n. Let h = 9 - n. Solve g - 5*v = -h, v - 11 = -4*g + 8 for g.
4
Let u = 34 + -30. Suppose -u*x - 4 = -3*p + p, -2*x - 10 = -3*p. Let n(z) = z**2 - 6*z - 5. Let a be n(7). Solve 5*q = -5*l + 5, -4*l - p - 4 = -a*q for l.
-1
Let c be 64/24*(-8 + 2). Suppose 2*i - 77 = v, -173 = -5*i + v - 5*v. Let l = i + c. Solve 6 = 3*o + 5*m + 19, -5*m - l = o for o.
4
Suppose 4*w = 3*w - 15. Let u be ((-64)/(-40))/(2/w). Let h = u - -16. Solve -2*b - 5 = -t, h*b - 6*t + 5 = -3*t for b.
-5
Suppose 5*l - 2*z = -4*z + 21, l = -5*z - 5. Let n(i) = i + 6. Let x be n(-5). Suppose 5*h + x = 21. Solve 3*g = -s + 1, -l*g - 9 = -h*s - 39 for g.
2
Let u be 23 - (-9 - -1 - -4 - -4). Suppose -5*t + 38 = u. Solve 2*g - 2 = -t*i, g = -4*g - 10 for i.
2
Suppose 3*l - 3 + 8 = -5*g, 4*l = 4*g - 28. Solve -3*b + g*b - 4*h = -16, 4*h - 20 = 0 for b.
-4
Suppose -7*l = -10*l + 12. Suppose 2*v - 4*q = 20, -34 = -3*v - 5*q - l. Solve 0 = -2*m - n + v, 0 = 2*m + m - n - 10 for m.
4
Let r = -2 - -5. Suppose -6*a + 3 = -r. Solve 0 = 3*g - 2*k - 0 + a, 5*g - k - 3 = 0 for g.
1
Let j(p) = p**2 + 19*p + 72. Let b be j(-14). Let d be ((-8)/(-3))/((-6)/(-9)). Solve -2*q = -b*x - 3 - 11, 3*q - 7 = -d*x for x.
-2
Let b be 4/10 - (-3477)/95. Let k = 40 - b. Solve -u = k*h + 2*h - 4, 20 = 5*u for h.
0
Let m = -12 + 33. Let c = m + -3. Solve 0 = -4*u + 2*k + c, 5*k + 16 = -2*u + k for u.
2
Suppose 4*g = 4*h - 2*h - 4, 2*g + 2 = -h. Solve h = -5*i - x + 28, 0*i + 4*i = -4*x + 32 for i.
5
Suppose -187 = -4*x - 171. Solve 0 = x*a + a + 4*z - 27, 3*z = 5*a - 6 for a.
3
Let c(v) = -v**2 - 13*v + 33. Let l be c(-15). Solve 0 = l*z + 3*n - 15 - 3, 0 = 5*z - 2*n + 5 for z.
1
Let o(t) = t**3 - 11*t**2 + t - 11. Let z = -24 - -35. Let c be o(z). Solve 2*d = m + 6, -5*m = -c*d + 2*d - 18 for d.
4
Let q = 4 - -1. Suppose -k + 4 = -w, 7 = -w - q*k + 33. Suppose -g = -1 - w. Solve j = -u, 2*u + g*j = -u - 2 for u.
-2
Suppose 26*r - 11*r = 60. Solve 2*g - 30 = 6*k - k, -5*k - r*g = 0 for k.
-4
Let w(f) = -f**3 + 21*f**2 + 46*f. Let g be w(23). Solve 0 = -b - 3*n - 7, -n = -g + 2 for b.
-1
Let y(d) = 6*d**2 + 3*d - 5. Let k be y(1). Solve -z - 4*j + k = -5*z, 4*z = 2*j - 12 for z.
-5
Suppose 3 = -4*s - 137. Let u be 2/10 + (-168)/s. Solve 2*o = -3*t + 1, -u*t + t - 4 = 0 for o.
2
Let r(j) = -6*j - 20. Let x be r(-4). Solve i - 1 + 3 = 3*w, 4*i - x*w = -16 for i.
-5
Let s(w) = w**3 + 10*w**2 + 8*w - 4. Let i = -23 - -14. Let o be s(i). Solve 2*u + 20 = -2*u - 4*j, o*u - j + 25 = 0 for u.
-5
Let k(g) = -g**3 + 9*g**2 - 31*g + 120. Let u be k(7). Solve 2*i - 4*f + 3 = 9, 4*f = i - u for i.
5
Suppose 2*p = -4*h + 6, 3*h = 5*h + 2*p. Let r = -844 - -864. Solve -h*b + 2*o + 10 = 0, 2*b - 4*o = -0*b + r for b.
0
Let j be 1 - (-7 - (-2 - 2)). Suppose m + m = j. Suppose -2*f + 6 = 2*i + m*i, i = 2*f - 6. Solve 5*l + 10 = -2*z, i*l + 2 = -l + 5*z for l.
-2
Suppose 0*o - 180 = -9*o. Let c be 60*(-4)/o*-2. Solve 0 = 2*g + 4*s + 8 - c, -s = -g - 7 for g.
-2
Let w(r) = r**2 + 12*r + 29. Let t be w(-12). Solve -25 = -2*i - 2*a - 9, 4*a = -3*i + t for i.
3
Let r(b) = -b**2 + 1. Let c be r(-3). Let i = -5 - c. Solve -3*h - m + 2 = -2*m, 0 = -i*h - 4*m - 23 for h.
-1
Let l(q) = -6*q - 173. Let p be l(-32). Solve 0 = -c - 2*r - 9, 0*c - 5*r = -c + p for c.
-1
Let n = 18 - 15. Suppose -n*p = -p + p. Solve 5*i = 3*j + 1 - p, 5*i + 1 = 2*j for i.
-1
Suppose -25*h - 41 = -141. Solve 4*q = -4*f - 20, -f - f + 4*q = h for f.
-4
Let l(i) = i + 8. Suppose 2*v + 5 + 5 = -4*c, -4*c + 2*v = -2. Let f be l(c). Solve -5*j - 2*t = -f*t - 30, -2*t + 23 = 5*j for j.
5
Suppose -68*j = -76*j + 160. Solve -2*z - 2*q - j = 0, z - 4*z - 4*q = 35 for z.
-5
Let z(x) = -2*x**3 - 3*x - 2. Let d be z(-1). Suppose 3*r - d*a - 28 = r, -3*a = 4*r - 74. Solve -3*p = -4*y + r, 3*y + 4*p = -7 + 1 for y.
2
Let x = -31 + 41. Suppose 11*a - 16*a + x = 0. Solve -b = -a*c - 12, -b + 9 - 2 = -c for b.
2
Suppose -3*f - 17 = -4*o - 6*f, -3*f + 9 = 0. Solve -2*d - 3*a - 17 = 0, -4 = o*d - 2*a - 2 for d.
-4
Suppose 0 = -5*i + 15, 5*j - 3 - 12 = -5*i. Solve -3*v = -4*b - 12, 5*b + j*v + 12 = 3*v for b.
0
Suppose -16*n + 9*n + 42 = 0. Suppose 3*g - 2*g - 4 = 0. Solve 3*r - 2 = -y - n, -4*y = -g*r + 16 for r.
0
Suppose -3*s + 7 = 3*i - 8, 3*i = s - 5. Solve f = 11*u - 6*u - 9, 0 = 3*f - 4*u + s for f.
1
Let x(w) = 2*w + 2. Let l be x(2). Suppose 4*s = t + 5, -4*t + 16 = -s + l. Solve -i
|
{
"pile_set_name": "DM Mathematics"
}
|
-6 + (sqrt(133) + sqrt(133)*-3)*-6 + sqrt(133))/(-1*sqrt(84)/(-6*sqrt(972))).
1026*sqrt(19)
Simplify (((sqrt(168)*2*3 - sqrt(168))/((sqrt(70)*-1)/sqrt(10)))/(-3*sqrt(128) + sqrt(8) - sqrt(8) - (sqrt(96)/sqrt(3) + sqrt(8))))**2.
1/3
Simplify 3 + (((sqrt(255)*-3)/sqrt(5))/(-4*sqrt(363) + sqrt(363)))**2 + -2.
138/121
Simplify 0 + -3*((1*6*((sqrt(567) - (sqrt(567) + -3*sqrt(567))*-6) + sqrt(567) - sqrt(567)))**2 + 3 + 0).
-7409565
Simplify (-2*sqrt(32))**2*-2 + (sqrt(6)/(sqrt(3) - sqrt(12)) - (-3 + 0 + sqrt(2)))**2 + 4 + 0 + sqrt(162) + 1 + 2.
-232 - 3*sqrt(2)
Simplify ((sqrt(275)/sqrt(320))/((sqrt(110)*3)/sqrt(10)) + (-4 + sqrt(5) + 0 + 0 - (-4 + -1 + sqrt(320))))**2.
-167*sqrt(5)/12 + 140021/576
Simplify (2 + (sqrt(128) - (sqrt(128) + 3*sqrt(128))) + sqrt(10)/sqrt(80))**2 + (-3 + -2 + sqrt(2) + sqrt(2) - (sqrt(72)/sqrt(9))/sqrt(4))**2.
-105*sqrt(2) + 9273/8
Simplify ((-1*sqrt(343)*-4 - (sqrt(343) + 2)*-5) + (0 + sqrt(343))*-5 + sqrt(343) + sqrt(343) + 2 + 2)**2.
1176*sqrt(7) + 12544
Simplify -1 + 1 + (5*(sqrt(176)*-2 + -2) + (sqrt(176) - (2*sqrt(176) - sqrt(176))*-4 - (4 + (sqrt(176) - sqrt(176)*-1))))**2.
784*sqrt(11) + 8820
Simplify 3*(0 + (-4*((sqrt(21)/sqrt(3)*-6 - (sqrt(7) - (sqrt(7) + 1*sqrt(7) + 4 + sqrt(7)))) + 3))**2).
-2688*sqrt(7) + 7728
Simplify -3*(0 + (0 + sqrt(605)*-3 - ((sqrt(660)*1)/sqrt(12))/sqrt(11))**2).
-17340
Simplify (-6*(4 + (-1 + sqrt(11))*6))**2 - (sqrt(22)/(-4*sqrt(2)) - ((-3*sqrt(77))/sqrt(7))**2).
-3455*sqrt(11)/4 + 14499
Simplify (-3 + sqrt(272) + sqrt(272))*4*-5 - (((sqrt(85) + -1*sqrt(85))*-1)/sqrt(5) + 0).
-160*sqrt(17) + 60
Simplify (-4 + sqrt(1377) + -4 + 1)**2 - ((3*sqrt(17)*-5)**2 - ((sqrt(17) + -3 - sqrt(17))**2 + 5)).
-2385 - 126*sqrt(17)
Simplify (3*(-1 + sqrt(1216) + 0) - ((sqrt(475) + -4 + sqrt(475) + (sqrt(475) - (sqrt(475) - (-2 + sqrt(475) + sqrt(475)))))**2 - (0 + 2*sqrt(475))))*-3.
-822*sqrt(19) + 22917
Simplify ((sqrt(110) - -3*(sqrt(110)*-3 + sqrt(110)))*-2*4)/((sqrt(490) - sqrt(490)*-2*-6) + -3*(sqrt(490) - (sqrt(490) + sqrt(490)*2 - sqrt(490)))).
-5*sqrt(11)/7
Simplify (sqrt(1100)*-3)/(1*sqrt(100) + sqrt(4)) - ((sqrt(77) - (sqrt(77) - sqrt(77)*2))*-6)/(2*sqrt(175) - sqrt(175)).
-sqrt(11)/10
Simplify ((-5*(sqrt(99) + (-2*sqrt(99) - sqrt(99))*5))/(-1*(sqrt(729)*1 + sqrt(9))))**2 + 2 + 4.
545
Simplify (-3 + -5*(-2 + sqrt(200) + sqrt(200) + 2) - (0 + (sqrt(200) + 2)*5 + sqrt(200)*-2 + 5))**2.
4680*sqrt(2) + 34124
Simplify ((-2 + -4 + sqrt(396)*2 + -5 + 1)*-2*-2)**2.
-3840*sqrt(11) + 26944
Simplify (0 + -4 + sqrt(320)*2 + -4 + -1*sqrt(320)*2*-1)**2.
-512*sqrt(5) + 5184
Simplify 3*-2*(-5 + ((-1 + sqrt(252))*-3 + -4)*-3*3)**2.
-1102344 - 7776*sqrt(7)
Simplify (6*sqrt(1216)*1*-2 + 1 + -1 + 1*(-1*sqrt(1216) + sqrt(1216))*-2)**2.
175104
Simplify (-1*((sqrt(110)/(sqrt(10)*-2) + -4 - sqrt(33)/(sqrt(3)*-1*-4 - sqrt(3))) + -3) + -3)**2.
20*sqrt(11)/3 + 851/36
Simplify (1*sqrt(2736)*-1 + 5 + 2 + sqrt(2736) + -5 + (sqrt(2736) - (sqrt(2736) + -5 - sqrt(2736))) + sqrt(2736) + -2 + -1 + -1)**2.
144*sqrt(19) + 10953
Simplify ((-1*sqrt(252)*-1)/(4*sqrt(1089)) + -1 + 4)**2.
3*sqrt(7)/11 + 4363/484
Simplify ((sqrt(2)*-1 + 3 + sqrt(8)/(sqrt(4)*2))*3 + -4*(sqrt(162) - sqrt(162)*1)*6)**2.
-27*sqrt(2) + 171/2
Simplify (sqrt(36) + -4*(sqrt(36) + sqrt(144)) + sqrt(108)/(sqrt(12)/sqrt(4)))/(sqrt(132)/sqrt(176) - (sqrt(108)*-3 + sqrt(108))) + -1.
-8*sqrt(3)/5 - 1
Simplify 5 + (5*(-2*(4*sqrt(320) - sqrt(320) - sqrt(320)) + (sqrt(45)*-4)/sqrt(9)*2))**2.
200005
Simplify 6*(sqrt(6912) + 1 + sqrt(6912) + sqrt(6912)*1 + sqrt(6912)) - ((sqrt(33)/((sqrt(22) + sqrt(88))/sqrt(2)))**2 + 0 + -4).
29/3 + 1152*sqrt(3)
Simplify (sqrt(99) + (sqrt(99) - 6*(sqrt(99)*-2 + sqrt(99))))/(sqrt(1296)*2) + (2 + -4*sqrt(1331) + 1)**2.
-791*sqrt(11)/3 + 21305
Simplify ((sqrt(624) - sqrt(624)*-3)*-6)/(-4*(sqrt(33)/(sqrt(11)*4) + sqrt(3)))*6.
576*sqrt(13)/5
Simplify -2 + ((-5 + sqrt(147) + (-1*sqrt(147) - sqrt(147)) + -5*sqrt(147)*-1 + 3)*-3 + -4)**2 + -3.
-336*sqrt(3) + 21167
Simplify (sqrt(18) - (sqrt(648) + (sqrt(648)*-2 - sqrt(648)) + sqrt(648)))/(sqrt(9)*-2*1) - (((sqrt(20)*-2)/sqrt(2))/(-6*-1*sqrt(5)) + -2).
-19*sqrt(2)/6 + 2
Simplify (((sqrt(32)*-2)/sqrt(8)*-2)/((sqrt(2) - (-4*(sqrt(2) - (sqrt(2) - sqrt(18) - sqrt(2))) + sqrt(2))) + (sqrt(96)/sqrt(3) - sqrt(32)))*-1)**2 + 0.
1/8
Simplify (((sqrt(36) + (sqrt(36) - sqrt(180)/sqrt(5)))*5 + sqrt(36))/(2*sqrt(96)))/(3*-1*sqrt(72) + sqrt(72) + -3*(sqrt(72)*-2 + sqrt(72) + sqrt(72))).
-sqrt(3)/16
Simplify ((sqrt(96)*1*-1*1)/((sqrt(128)*-1)/sqrt(4))*2)**2.
12
Simplify (5 + (sqrt(468) - (5 + -2 + sqrt(468))))**2 + 0 + (sqrt(832) - 1*(sqrt(832) + -5)).
9
Simplify ((-4 + 0 + -2*sqrt(192))**2 - 2*(-2 + sqrt(192) - sqrt(192))*2)*-4.
-3168 - 512*sqrt(3)
Simplify -3*(-4*(sqrt(2299) - (sqrt(2299) + sqrt(2299)*2 + sqrt(2299) + -4 + sqrt(2299))))**2 + 3*(sqrt(2299) + 1 + -2 + 1)**2.
-1759503 + 16896*sqrt(19)
Simplify (sqrt(280)/(sqrt(8) + sqrt(40)/sqrt(5)) - sqrt(35) - (-2*sqrt(140))/sqrt(4))/(sqrt(320)*2 + sqrt(40)/sqrt(128)).
6*sqrt(7)/65
Simplify (3*-2*sqrt(171)*-4*-4)/((-4*((sqrt(81)*-1 - sqrt(81) - sqrt(81)) + sqrt(81) - sqrt(81)))/(sqrt(144)*6)).
-192*sqrt(19)
Simplify (3*(sqrt(77) - (sqrt(77) - (sqrt(77) + 1*sqrt(77))*6)))/(((sqrt(77) + sqrt(77)*6 + sqrt(77) - sqrt(77)) + sqrt(77))/sqrt(11)*-1).
-9*sqrt(11)/2
Simplify (2 + -4*((-1 + (3 + sqrt(2156) + sqrt(44))*2)*-4 + 2))**2.
75776*sqrt(11) + 2889060
Simplify (sqrt(3024) + 2*sqrt(3024) + sqrt(3024) + 6*(sqrt(84)/sqrt(4) + sqrt(21)))/((sqrt(84)/(-6*sqrt(3)))/sqrt(4)).
-360*sqrt(3)
Simplify (-3 + (sqrt(5) - (-2 + sqrt(5)*-3)) + sqrt(500) + 0)**2 - (sqrt(495)/(sqrt(18)/sqrt(2) + sqrt(9)))/(sqrt(88)/(sqrt(24)/sqrt(3)))*6.
-31*sqrt(5) + 981
Simplify 3 + ((sqrt(1300) - (5*(3*sqrt(1300) - sqrt(1300))**2 - sqrt(1300)))*3 + 1 + (sqrt(1300) + -2 + 2 + sqrt(1300))**2)*-5.
-300*sqrt(13) + 363998
Simplify ((-3*sqrt(176) + sqrt(176))*1 - sqrt(176))/(1*sqrt(400) + 3*sqrt(16)/sqrt(4))*-5.
30*sqrt(11)/13
Simplify (1 + -2 + -3 + sqrt(432) + sqrt(432) + 1*sqrt(432) + (sqrt(432) + 0)*3 + -3 + 0)**2.
-1008*sqrt(3) + 15601
Simplify ((sqrt(216) - 4*(sqrt(216) + 1*sqrt(216)))/((-1*sqrt(768) - sqrt(768)) + sqrt(768) + sqrt(768) + sqrt(768)))/((6*-2*sqrt(384) - sqrt(384))*-2).
-7*sqrt(3)/1664
Simplify ((((sqrt(192) + 0)*5 + sqrt(192))*2 + (1*sqrt(192) + -4 - (sqrt(192) + -4 + sqrt(192) + -1 + sqrt(192))))*-1 + 4)**2*3.
-1440*sqrt(3) + 57627
Simplify ((sqrt(396)/(sqrt(12)*-2))/(sqrt(6)/(sqrt(8)/sqrt(4) + sqrt(2))) + (sqrt(176) + 1 + -5)**2 + -5)*2.
-66*sqrt(11) + 374
Simplify -6*((sqrt(28) + 1)*-5 - (sqrt(112)*-2)**2 - (3*(sqrt(224) - -2*sqrt(224)) - sqrt(224))/sqrt(8)).
156*sqrt(7) + 2718
Simplify (4*2*sqrt(11) - (-2*sqrt(88))/sqrt(8))**2 + 3 - ((sqrt(110)*2 - sqrt(110))*-6 - sqrt(110))/(sqrt(960)/sqrt(6)).
7*sqrt(11)/4 + 1103
Simplify -5 + (5 + (sqrt(180) + 3 - sqrt(180)) + sqrt(180) + 3)**2*2 + -5.
264*sqrt(5) + 592
Simplify ((-5 + -6*(sqrt(432) + 4 - sqrt(432)))*-3)**2 + 5.
7574
Simplify 3 + (3*-6*(sqrt(125) + (sqrt(125) - (sqrt(125) - sqrt(125)*2))))**2 + -1 + 3*(0 + sqrt(5))*-5*6.
-90*sqrt(5) + 364502
Simplify 5*(sqrt(7) + sqrt(14)/sqrt(2))*3 + 1 + -5*sqrt(28) + (sqrt(7) - (-6*(sqrt(7) + -3 - sqrt(7)))**2).
-323 + 21*sqrt(7)
Simplify -4*((4 + 0 + sqrt(1008) + -1 - (sqrt(1008) + -5 + (sqrt(1008) - sqrt(1008)*2) - (sqrt(1008) + -1)*-5)) + -1)**2.
-65088 + 4608*sqrt(7)
Simplify (-4 + -1*sqrt(1872) - ((sqrt(1872) + -2)*5 + sqrt(1872)) - (-1*sqrt(130)*1)/(sqrt(360) - (sqrt(360)*1 - sqrt(360)) - sqrt(10)))**2.
-5028*sqrt(13)/5 + 2283193/25
Simplify -3*1*(3 + ((sqrt(200) - (-1 + sqrt(200) - sqrt(200))) + -3)**2*1)*-3.
-360*sqrt(2) + 1863
Simplify 2 + 6*(sqrt(833) + -1)*2 - -3*(1*(sqrt(1088) + -1) + 1)**2.
84*sqrt(17) + 3254
Simplify (5*((2*sqrt(396)*-5)/(sqrt(72)/sqrt(2) + sqrt(9)) + (sqrt(4400) + 3 - (-3 + sqrt(44))*-4)))**2.
-9600*sqrt(11) + 1144625/9
Simplify 2*(-6*(1*1*sqrt(114)*-5)/(2*(sqrt(294)*1 + sqrt(294))) + 1).
2 + 15*sqrt(19)/7
Simplify (((sqrt(136) + -3*sqrt(136))*6 - sqrt(136)) + (sqrt(136) - -3*(sqrt(136) + sqrt(136)*3 - sqrt(136))))/((-3*sqrt(80)*1)/(sqrt(200)/sqrt(5))).
2*sqrt(17)
Simplify -6*-5*sqrt(228)/sqrt(768) + ((sqrt(1216)*-1 - sqrt(19)) + 3 + -2 + sqrt(19))**2.
-49*sqrt(19)/4 + 1217
Simplify sqrt(209)/((1*sqrt(88) + sqrt(88) - sqrt(88))/sqrt(8))*5 - (sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
sequence odul?
1/7752
Two letters picked without replacement from rroookoroorrorjrjr. What is prob of sequence kr?
4/153
What is prob of sequence mz when two letters picked without replacement from {m: 5, z: 14}?
35/171
Calculate prob of sequence nngh when four letters picked without replacement from ngnnygyyvjh.
1/660
Calculate prob of sequence qgu when three letters picked without replacement from uooogoqg.
1/168
Calculate prob of sequence ee when two letters picked without replacement from kkkekkkkekecckkkekke.
1/19
What is prob of sequence lexl when four letters picked without replacement from llxlxlze?
1/70
What is prob of sequence kyyy when four letters picked without replacement from {y: 13, k: 6}?
143/1292
Calculate prob of sequence isii when four letters picked without replacement from {s: 6, i: 12}.
11/102
Calculate prob of sequence aa when two letters picked without replacement from {a: 6}.
1
Three letters picked without replacement from fqsffftqqrsss. What is prob of sequence trs?
1/429
Calculate prob of sequence sf when two letters picked without replacement from {g: 6, y: 3, f: 7, s: 3}.
7/114
Two letters picked without replacement from {a: 10}. Give prob of sequence aa.
1
Calculate prob of sequence up when two letters picked without replacement from fuwfpuwuuuuff.
1/26
What is prob of sequence wc when two letters picked without replacement from {z: 3, h: 2, w: 1, c: 1}?
1/42
Three letters picked without replacement from {r: 2, c: 5, u: 5}. Give prob of sequence uuu.
1/22
Two letters picked without replacement from zvzz. What is prob of sequence zz?
1/2
What is prob of sequence ipib when four letters picked without replacement from {b: 1, l: 2, p: 2, c: 6, g: 4, i: 4}?
1/3876
Two letters picked without replacement from rbuibbbruu. Give prob of sequence ub.
2/15
Four letters picked without replacement from fbbfbbbbbf. Give prob of sequence bbff.
1/20
What is prob of sequence ecm when three letters picked without replacement from {e: 7, c: 4, g: 5, m: 3}?
14/969
What is prob of sequence ljjj when four letters picked without replacement from jjjjjjjjjlljjjjjjjjj?
8/95
Two letters picked without replacement from eenenneeeneeen. What is prob of sequence en?
45/182
What is prob of sequence hlb when three letters picked without replacement from {h: 1, l: 4, x: 3, g: 1, b: 2}?
4/495
Two letters picked without replacement from sscsscscss. What is prob of sequence cs?
7/30
Two letters picked without replacement from hwjuhjcrhhhj. Give prob of sequence cj.
1/44
What is prob of sequence eee when three letters picked without replacement from eebbeeeb?
5/28
Two letters picked without replacement from {p: 3, c: 3, a: 2}. What is prob of sequence ac?
3/28
Four letters picked without replacement from {t: 1, j: 1, g: 2, b: 4, h: 3, r: 1}. Give prob of sequence bbjr.
1/990
Three letters picked without replacement from yhyyzhhhyyz. Give prob of sequence zhh.
4/165
Calculate prob of sequence rjj when three letters picked without replacement from {r: 3, z: 1, y: 2, w: 6, j: 4}.
3/280
Two letters picked without replacement from nnxxxnnnnwssx. What is prob of sequence wn?
1/26
Calculate prob of sequence ele when three letters picked without replacement from elwqeeqllelllleeqwel.
14/285
Calculate prob of sequence ujjj when four letters picked without replacement from {j: 13, u: 3}.
33/280
Two letters picked without replacement from vyyvvvi. Give prob of sequence vv.
2/7
Three letters picked without replacement from eiiygeooggyeoc. What is prob of sequence iyi?
1/546
What is prob of sequence hsh when three letters picked without replacement from {g: 5, h: 2, s: 3, j: 1, x: 1}?
1/220
Calculate prob of sequence eykn when four letters picked without replacement from {n: 2, y: 1, e: 1, k: 1, h: 1, o: 1}.
1/420
What is prob of sequence rrrr when four letters picked without replacement from {j: 8, r: 5, p: 3}?
1/364
Three letters picked without replacement from {f: 5, e: 2}. What is prob of sequence eff?
4/21
Four letters picked without replacement from {x: 6}. What is prob of sequence xxxx?
1
What is prob of sequence ld when two letters picked without replacement from clwddjw?
1/21
Two letters picked without replacement from {k: 1, r: 7, a: 1, h: 5, e: 4, c: 1}. Give prob of sequence ke.
2/171
What is prob of sequence qqqv when four letters picked without replacement from {v: 2, e: 7, q: 4, w: 1}?
2/1001
Calculate prob of sequence go when two letters picked without replacement from ogggggggogogggg.
6/35
Two letters picked without replacement from cwwwccwwww. What is prob of sequence cc?
1/15
Calculate prob of sequence hhhf when four letters picked without replacement from {o: 1, k: 1, v: 4, f: 2, h: 2}.
0
Two letters picked without replacement from {h: 4, d: 3, m: 2}. What is prob of sequence mm?
1/36
Two letters picked without replacement from {q: 17, u: 2}. Give prob of sequence uu.
1/171
Calculate prob of sequence do when two letters picked without replacement from {d: 3, o: 1, e: 1}.
3/20
Four letters picked without replacement from kxpkpppkpkxk. Give prob of sequence kxpp.
5/297
Three letters picked without replacement from pppppkedmee. Give prob of sequence eed.
1/165
Two letters picked without replacement from {x: 8, j: 2}. Give prob of sequence jx.
8/45
Four letters picked without replacement from {i: 3, l: 5}. What is prob of sequence liil?
1/14
Three letters picked without replacement from {m: 6, f: 1, t: 9, x: 3}. What is prob of sequence txt?
12/323
Three letters picked without replacement from nnunu. Give prob of sequence nnn.
1/10
Two letters picked without replacement from mhdammomoaolam. Give prob of sequence ao.
9/182
What is prob of sequence jt when two letters picked without replacement from jztjjjjtjttjjzttj?
27/136
Calculate prob of sequence gs when two letters picked without replacement from {g: 1, b: 4, n: 4, s: 2, l: 5}.
1/120
Three letters picked without replacement from gnsnssvsgvvnsvsvnsg. What is prob of sequence vgn?
10/969
What is prob of sequence iv when two letters picked without replacement from vavaivavav?
1/18
Two letters picked without replacement from sgx. Give prob of sequence gs.
1/6
Calculate prob of sequence nnn when three letters picked without replacement from tntttnnnnnnt.
7/44
Three letters picked without replacement from {i: 7, b: 7}. Give prob of sequence bbb.
5/52
What is prob of sequence yust when four letters picked without replacement from bytsuyl?
1/420
What is prob of sequence vn when two letters picked without replacement from {q: 4, h: 2, p: 1, n: 4, v: 6, y: 2}?
4/57
Two letters picked without replacement from {b: 4, j: 14}. What is prob of sequence bj?
28/153
Two letters picked without replacement from brrrb. Give prob of sequence br.
3/10
Calculate prob of sequence zb when two letters picked without replacement from {v: 2, e: 2, z: 7, b: 1, n: 7}.
7/342
Calculate prob of sequence yml when three letters picked without replacement from {x: 9, m: 1, l: 1, y: 2}.
1/858
What is prob of sequence zbz when three letters picked without replacement from zzb?
1/3
Calculate prob of sequence dyyd when four letters picked without replacement from yyyyyyddyyydyd.
45/1001
Four letters picked without replacement from kgttkeagkggegggyg. Give prob of sequence tete.
1/14280
Four letters picked without replacement from nssfxxfffxfsxmf. Give prob of sequence xfnx.
1/455
Four letters picked without replacement from vvivvvcvcvvvccccvvci. What is prob of sequence vcvc?
77/1938
Two letters picked without replacement from dllllddl. What is prob of sequence dl?
15/56
Calculate prob of sequence rywb when four letters picked without replacement from {r: 1, y: 1, b: 1, t: 1, w: 1}.
1/120
What is prob of sequence bbf when three letters picked without replacement from fbffbbf?
4/35
Four letters picked without replacement from {r: 4, b: 10}. What is prob of sequence rrbb?
45/1001
Two letters picked without replacement from {k: 3, e: 1, l: 1, u: 3, f: 5, g: 1}. Give prob of sequence gf.
5/182
Calculate prob of sequence igii when four letters picked without replacement from ggggggggiggggggigggi.
1/1140
What is prob of sequence kuku when four letters picked without replacement from {q: 2, a: 3, u: 5, k: 3}?
1/143
Two letters picked w
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 - 15*z**3 + 26*z**3).
-35*z**4
Expand -1 - 555*n - 678*n + 120*n + (-6 + 4 + 5)*(-2*n + 0*n + n).
-1116*n - 1
Expand (7 - f - 7)*(269*f + 106*f - 14*f).
-361*f**2
Expand (-3*s + 2*s + 2*s)*(21404 + 15188*s + 21403 - 42807).
15188*s**2
Expand (-222*m**2 + 222*m**2 - 23*m**3 + (m - 1 + 1)*(m**2 - m**2 + m**2))*(-10 - 1 - 11 + (2 - 3 - 1)*(4 - 4 - 1) + 0 - 1 + 0 - 1 - 2 + 1 - 4 + 0 + 3).
528*m**3
Expand (-1 - 4 + 3)*(-39 - 160 + 30)*(1 - 3 + 0)*(-l**2 + 1 + 0 + 3*l**2).
-1352*l**2 - 676
Expand (-23*w**2 + 32*w - 32*w)*(2*w - 2 + 2)*(14 + 8 + 27)*(-2 + 0 - 2).
9016*w**3
Expand (2*u + 2*u - 3*u)*(2*u**2 - 4*u**2 + 4*u**2) - 7 + 7 - 4*u**3 + (-4*u + 3*u - u - 3*u**2 + 1)*(-2*u + 3*u - 2*u).
u**3 + 2*u**2 - u
Expand ((2 - 2 + j**2)*(127 - 229 + 116) + (14 + 7*j - 14)*(-3*j + 0*j + 2*j))*(0*j - j + 4*j)*(-2*j**2 - 2 + 2).
-42*j**5
Expand 6*d**4 - 5*d**4 - 2*d**4 + (-1 - 2 + 1)*(550*d**3 + 56*d**4 - 550*d**3) - 5*d**4 + 30*d**4 + 26*d**4 + (3*d**3 - 7*d**3 + 2*d**3)*(0*d + 3*d - d).
-66*d**4
Expand -a**3 + 2*a**3 + 0*a**3 + (-2*a**2 + 2*a**2 - a**2)*(0 + 0 - 5*a) - 18*a**3 - 23*a**3 - 13*a**3 + (-a**2 + 0 + 0)*(-4*a + 4*a + 2*a).
-50*a**3
Expand (k + 4 + 19*k - 2)*((4*k + k + 3*k)*(-1 - 3 + 0) + k + 0*k + k).
-600*k**2 - 60*k
Expand -51*i - 28 + 28 + (1 - 8 + 10)*(0 + 1 - 2*i + 2).
-57*i + 9
Expand 5*x - x - 2*x + (-2*x + 4*x + 0*x)*(0 - 1 + 2) + (14 - 6 + 0)*(-2*x + 4 - 4) - 3*x + 11*x + 0*x + 2 - 2 + x + 3*x - 3*x + x.
-2*x
Expand (-6*i**2 + i**2 - 3*i**2 + (0*i**2 + i**2 - 7*i**2)*(2 + 7 - 5))*(-2*i**2 + 0*i**2 + i**2).
32*i**4
Expand (-7*s + 17 - 17)*(-430*s**2 - 145*s**2 - s + 68*s**2).
3549*s**3 + 7*s**2
Expand (-18*n - 13*n + 24*n)*(-2077*n**2 + 2077*n**2 - 152*n**3).
1064*n**4
Expand -24*q**5 - 21*q**5 + 5*q**5 - 3*q**2 + q**5 + 3*q**2 + 7*q**2 - 7*q**2 + 4*q**5 + (1 - 2 - 1)*(-q**3 + q**5 + q**3).
-37*q**5
Expand (-31 + 88 + 87)*((0 - 5 + 3)*(5*d - 8 + 8) - d + 0*d - d).
-1728*d
Expand ((-3 + 2 - 1)*(7 - 2 + 0) + 4 - 4 - 2 + (3 - 1 - 1)*(2 + 0 - 3))*(6*s + 14*s - 7*s).
-169*s
Expand (4 - 3 + 1)*(1 + 1 - 4)*(2514 - 5030 + 2516 + 4408*t).
-17632*t
Expand 5243 + q**3 - 2598 + 297*q**2 - 2649 + (3*q - 2*q**2 - 3*q)*(0*q - 2*q + q) - 3 + 3 + 2*q**3 + 2*q**3 + 0*q**3 + 0*q**3.
7*q**3 + 297*q**2 - 4
Expand (15*k - 5*k - 8*k + 3)*(174 - 79 + 71).
332*k + 498
Expand (-3 + 3 + 1)*(11*b + 173 - 85 - 96) - 2*b + b - 5*b.
5*b - 8
Expand (s - s**2 - s)*(-2 + 3 + 1) - 2*s**2 + s**2 + 0*s**2 + (-s + 0*s - s)*(3 - 3 - s) - 45*s**2 - 61 + 61.
-46*s**2
Expand (j**2 - 5*j**2 + 2*j**2)*(1995*j - 32 + 49 - 2020*j).
50*j**3 - 34*j**2
Expand (0*w + 1387 - 2*w - 1390)*(-2 + 2 - 2)*(2935*w - 1271*w - 1467*w).
788*w**2 + 1182*w
Expand (p**3 - p**2 + p**2)*(-6*p + 13 - 13)*(-1 + 0 + p + 0) + (3*p**2 - 3*p**2 + p**3)*(243*p**2 - 79292 + 79292).
237*p**5 + 6*p**4
Expand -27 - 59*z**2 + 22 + 3 - 2*z**2 + z**2 + 0*z**2 + z**2 + z**2 - z**2 + (4 - 4*z - 4)*(-2*z + 2*z + z).
-63*z**2 - 2
Expand (2*c - 7*c + 2*c)*(1 - 3 + 1) + 0*c + 10*c + 70*c + 21*c - 16 + 16.
104*c
Expand (18*h**4 - 74 + 30 + 7*h**3 - 19*h**4)*(-4 - 2*h + 4).
2*h**5 - 14*h**4 + 88*h
Expand (-3*j + 3*j + j**3 + (-1 + 1 + 1)*(87*j - 87*j + 36*j**3))*(0 + 19 - 4)*(0*j - 3*j**2 + 0*j) - 4*j**5 + 5*j**5 + j**5.
-1663*j**5
Expand (1648*d**2 - 496*d**2 + 480*d**2 + 504*d**2)*(2*d - 1 + 1).
4272*d**3
Expand (-1 + 2 - 4)*(-6*m - m - 3*m) + 10 - 10 + 13*m.
43*m
Expand (0*p - 10*p - 5 + 12*p)*(2 - 5 + 5)*(2*p + 2 - 2 + 0 + 0 + 2*p + (0 + 4 - 2)*(3*p + 2*p - 3*p) - 2*p + 1 - 1 - p + 2*p + p - 1069 + 1069 + 48*p).
224*p**2 - 560*p
Expand (-2*r + 5*r + 4*r)*(-3649*r**2 + 547*r**3 + 3649*r**2).
3829*r**4
Expand (7*u**2 + 12*u**2 - 3*u**2)*(-2 + 6 - u + 3*u) + 1 - 2*u**3 - 1.
30*u**3 + 64*u**2
Expand (-12*s**2 - 5*s**2 - 8*s**2)*(-2 + 2 + s**2)*(2*s - 3*s + 14 - 38).
25*s**5 + 600*s**4
Expand (-2557*o**4 + 2761*o**4 + o - 4*o)*(1 - 1 + o).
204*o**5 - 3*o**2
Expand (0*p**2 + 7*p**2 + 0*p**2)*(-4 + 117*p + 12*p - 17*p) + (5*p - 4*p + p)*(p - 4*p + 2*p)*(-4*p + 5*p - 2*p) + (2*p + 0*p - p)*(-2*p**2 + 2*p - 2*p).
784*p**3 - 28*p**2
Expand (-32*m - 22*m + 2*m)*(2 - 4 + 6)*(3 + 2 - 1).
-832*m
Expand (6*a + 7 - 1 - 5*a)*(1175 + 440*a + 36*a - 1173).
476*a**2 + 2858*a + 12
Expand ((72 - 38 - 44)*(3 - 6 + 1) + 3 - 5 - 3 + (2 + 2 - 3)*(0 - 1 - 1))*(0*j**3 + j**3 + 2*j**3).
39*j**3
Expand -85 + 85 - 17*r**5 + (3 + 0 - 5)*(-2*r**4 - r**5 + 2*r**4) + 159*r**3 - 159*r**3 + 75*r**5 - 13*r**5.
47*r**5
Expand (7*n**3 - 13*n + 13*n)*(-116 - 87 + 49)*(-2*n**2 - 5*n**2 + 5*n**2).
2156*n**5
Expand (4701*z - 1640*z - 2375*z)*(-1 + 1 - 3*z).
-2058*z**2
Expand (-496*r**3 + 8079*r - 8079*r)*(-46 + 46 - 6*r).
2976*r**4
Expand (1 - 1 + 10*n)*(69 - 29 + 117 + 39)*(5 - 5 + 1).
1960*n
Expand (-3 + 5 + 7)*(2*a - 2*a + 3*a**2)*((-5 + 4 + 3)*(-2*a**2 - a + a) + 0*a + 0*a - 10*a**2).
-378*a**4
Expand (31*a + 41*a - 10*a)*(2*a - 3*a + 2*a) + 22*a - 26*a**2 - 22*a.
36*a**2
Expand 366*v - 74*v**2 - 366*v + (9*v + 20*v - 13*v)*(-4*v + 5*v - 3*v).
-106*v**2
Expand (-3 + 312*s + 256*s - 383*s)*(0 + 4 - 2) - 5*s + 2*s + 4*s + s - s - s + (3*s + 2*s - 2*s)*(3 + 0 - 4) + 2*s - 2*s - 2*s.
365*s - 6
Expand (4 - 3 + 2)*(5*t - 4*t - 2*t) + 4*t + 2 - 2 + 4439 - 326*t + 44*t - 4436.
-281*t + 3
Expand (-9*v**3 - 11*v**3 - 7*v**3)*(83 - 27 - 16).
-1080*v**3
Expand (8*y + 4*y - 15*y)*((6*y - 4*y - 3*y)*(-3 + 1 + 0) - 3 + 3 + 4*y + 2*y - 2*y - 4*y).
-6*y**2
Expand (1329*h**3 + 2582*h**3 + 4766*h**3 + 993*h**3 + 1554*h**3)*(-h + 2*h + h).
22448*h**4
Expand (7391 - 14*m - 3742 - 3801)*(5 - 4 - 2).
14*m + 152
Expand (0 - v + 0)*(370 + 168 + 110)*(1 - 2 + 3 + (-1 + 0 - 1)*(-2 + 1 - 1) + 3 + 4 - 6 + 3 + 1 + 0).
-7128*v
Expand (-5*y**2 + 4*y**2 - 5*y**2)*(-3*y**3 - 1 + 1) + 0*y**5 - 5*y**5 + 4*y**5 + 3*y**5 - 3*y**5 + 2*y**5 - 6*y**5 - y**5 + 5*y**5.
17*y**5
Expand (-12 - 2*c + 25 + 10)*(3*c**3 + 0*c**3 - 5*c**3 + 10*c**3 - 19*c**3 - 7*c**3 + (3 - 5 + 1)*(-3*c**3 + c**3 + 3*c**3)).
38*c**4 - 437*c**3
Expand (343*r + 328*r - 290*r)*(-3*r + r + 4*r)*(0 + 1 + 1).
1524*r**2
Expand (-13 + 2 - 11)*(-699*r - 32 + 355*r + 346*r).
-44*r + 704
Expand (12 + 4*x - 12)*(-5 + 5 - 1) + (-3*x - 2*x + 0*x + (0 + 3 - 2)*(-3 - 2*x + 3) + 0*x - x + 2*x - 4*x + 2*x - x)*(3 - 5 - 1) + 1 + 2*x - 1.
25*x
Expand (f**3 - 8*f**3 + 3*f**3)*(-2*f + 0 + 0) + (-3*f + 3*f - f**3)*(42 - 65*f - 42) + f**4 - 2*f**4 - f**4.
71*f**4
Expand (-101 - 68 - 63)*(-1 + m - 2*m + 0*m) - 4*m + 3*m - m + (-3 + 2 + 0)*(m + m - 4*m) + 2*m - 5*m + 2*m.
231*m + 232
Expand -4*f**4 + 0*f**4 + f**4 + (-6*f + 6*f + 6*f)*(-5*f**3 - 6*f**3 - 2*f**3).
-81*f**4
Expand ((-h + 2*h - 2*h)*(-3*h - 3*h + 3*h) + h**2 - h**2 + 2*h**2)*(-55 + 11*h + 55)*((-2 + 2 - 2)*(1 - 1 + h) - 14*h - 8*h + h).
-1265*h**4
Expand (5 + 4*f**4 - 5)*(-4*f + f + f) - 3*f**5 + f**5 + 8*f**5 + (-f**4 - f**4 + f**4)*(5*f - 7*f + 8*f).
-8*f**5
Expand 554*v**5 + 3028*v**4 - 1508*v**4 - 1518*v**4 + (4*v**5 - v**5 - 5*v**5)*(-2 + 4 - 3).
556*v**5 + 2*v**4
Expand (-208 - 44 - 49 - 416 - 320)*(9 - 10 + 12)*(-2*n + 0*n + 5*n).
-34221*n
Expand (5 - 5 - p)*((0*p + 4*p - 2*p)*(-10 + 10 - 8*p) + 228 + 20*p**2 - 228) + (5 - 2 + 0)*(-4*p**3 + 0*p**3 + 2*p**3) - 2*p**3 + 5*p**3 - 4*p**3.
-11*p**3
Expand -w**5 - w**5 - 7*w**5 + (8909*w**2 - 8909*w**2 - 30*w**4)*(3*w - w - w).
-39*w**5
Expand (-307 + 618 - 389)*((0*r**2 + 6*r**2 - r**2)*(2*r + 0*r + 0*r) + r**3 + 3*r**3 - 10*r**3).
-312*r**3
Expand -7*x - 39 + 31*x**2 + 38 - 1 + (0 + x**2 + 0)*(2 - 6 + 2) + 0*x - x**2 + 0*x.
28*x**2 - 7*x - 2
Expand (2*l**2 + 0 + 0)*(1 + l**2 - 1 + (-l - 3*l - 6*l)*(13*l - 2*l + 6*l)).
-338*l**4
Expand (-1 - 2 - 1 + (0 + 2 - 1)*(3 + 0 - 2) + (1 - 2 + 0)*(4 + 2 + 10))*((-5 - c + 5)*(-3*c**3 - 2*c**3 + 4*c**3) - c**4 + 4*c**4 + 6*c**4).
-190*c**4
Expand (-11*f**3 + 27 + 2*f**2 + 0*f**2 + 12*f**3)*(-12*f**2 + 40*f**2 + 6*f**2).
34*f**5 + 68*f**4 + 918*f**2
Expand (260*a - 567*a + 7 + 281*a)*(4*a + a - 3*a) - 3*a**2 + 19*a - 19*a.
-55*a**2 + 14*a
Expand (1428 - 2868 + 1713)*(-3 - 2 + 4)*(9 - 9 + 10*c).
-2730*c
Expand (8 + 2 + 0)*(20*v**3 + 18*v**3 - 46*v**3) + 18*v**3 - 18*v**3 - 12*v**3.
-92*v**3
Expand ((1 + 3 - 2)*(-c**3 - 2*c**3 + 2*c**3) + 261*c**2 - 261*c**2 + 18*c**3)*(5 - 5 - 2)*(-2*c + 5*c + 0*c)*(-3 + 4 + 4).
-480*c**4
Expand (-4*i - 3 + 3)*(0 - 1 + 8)*(-134 - 211*i + 134).
5908*i**2
Ex
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(4) + sqrt(64)))**2 - sqrt(17)).
-2*sqrt(17) + 2697/400
Simplify -5*-3*sqrt(175)*-1.
-75*sqrt(7)
Simplify (sqrt(13)*2 - sqrt(13)) + -5 + sqrt(325)*-1.
-4*sqrt(13) - 5
Simplify 1 + (3*sqrt(7) + -3 - (sqrt(350) - sqrt(14))/sqrt(2))**2.
6*sqrt(7) + 17
Simplify (sqrt(153)*2 + 5)*5.
25 + 30*sqrt(17)
Simplify (-1*sqrt(35))/sqrt(5) + sqrt(112) + -1 - (2 + sqrt(63) - sqrt(77)/(2*sqrt(11))).
-3 + sqrt(7)/2
Simplify -4*(-1 + 2*sqrt(931)).
-56*sqrt(19) + 4
Simplify (sqrt(68) - (sqrt(68) - ((sqrt(68) - (sqrt(68) - (2*sqrt(68) - sqrt(68))) - sqrt(68))*-3 + sqrt(68)) - sqrt(68)))/((1*sqrt(16))/sqrt(4)) + -2.
-2 + 2*sqrt(17)
Simplify (-3*sqrt(200))/(sqrt(70)/sqrt(28)).
-12*sqrt(5)
Simplify (1 + sqrt(76) + (sqrt(304) - sqrt(304)*-1) + 1*sqrt(1539) + 1)**2.
76*sqrt(19) + 6863
Simplify ((sqrt(363)*1 - sqrt(363))*3 + sqrt(363)*-1*4)**2.
5808
Simplify (2 + sqrt(704)*2)**2.
64*sqrt(11) + 2820
Simplify sqrt(18)/(sqrt(18)/(sqrt(15)/sqrt(5)))*-4*-1.
4*sqrt(3)
Simplify sqrt(8)/sqrt(4) + 1 - (-6*sqrt(2)*4 - sqrt(2))**2.
-1249 + sqrt(2)
Simplify 1 + sqrt(833) - (-2*sqrt(2057))**2.
-8227 + 7*sqrt(17)
Simplify (sqrt(297)/sqrt(11) + 0)**2.
27
Simplify (sqrt(153)/(-2*sqrt(1296)))**2.
17/576
Simplify (-5*(sqrt(132) - 2*sqrt(132)))/(-2*sqrt(972) - sqrt(972)).
-5*sqrt(11)/27
Simplify sqrt(27)*-5 + 1.
-15*sqrt(3) + 1
Simplify -1 + (sqrt(425) - (-4 + 1 + sqrt(425))) + sqrt(425) + 4 + -1 + sqrt(425).
5 + 10*sqrt(17)
Simplify (sqrt(17) - sqrt(51)/sqrt(3))**2 + 2 - (sqrt(17)*2*4 + sqrt(17)).
-9*sqrt(17) + 2
Simplify ((-1*sqrt(136) - sqrt(136))*4)/(sqrt(648)*2 - sqrt(8)).
-8*sqrt(17)/17
Simplify 4*sqrt(52)/sqrt(4) + (sqrt(637) + -1)**2.
-10*sqrt(13) + 638
Simplify (-1 + -4 + sqrt(612) + sqrt(612)*1)**2*6.
-720*sqrt(17) + 14838
Simplify (sqrt(9) - 3*sqrt(9))/sqrt(3) + -5.
-5 - 2*sqrt(3)
Simplify (sqrt(10)*1*4)/(sqrt(5) + sqrt(180) + sqrt(180)*2 + sqrt(180) + sqrt(5)).
2*sqrt(2)/13
Simplify -6*((sqrt(357)*2 - sqrt(357) - sqrt(357))/sqrt(7))/((sqrt(33)*1)/sqrt(11)).
0
Simplify (-3*-1*sqrt(245)*-4)**2.
35280
Simplify (-4 + sqrt(19) + 0)*5.
-20 + 5*sqrt(19)
Simplify (4 + sqrt(468) + 0)**2.
48*sqrt(13) + 484
Simplify sqrt(130)/(sqrt(10) - -2*sqrt(40) - sqrt(10)).
sqrt(13)/4
Simplify -3 + sqrt(20)/sqrt(90) + (-1 + sqrt(2) + -3 - sqrt(24)/sqrt(3)).
-7 - 2*sqrt(2)/3
Simplify (-4 + (sqrt(832) + 0 + sqrt(832))*-1)**2.
128*sqrt(13) + 3344
Simplify (-3 + -4 + sqrt(72) + 5)**2.
-24*sqrt(2) + 76
Simplify (-3 + (sqrt(288) + -4)*4)**2.
-1824*sqrt(2) + 4969
Simplify ((sqrt(72) + 2 - sqrt(72))**2 + 0)*5.
20
Simplify ((sqrt(19) - sqrt(57)/sqrt(3)) + 4)*-4.
-16
Simplify (3 + -2*sqrt(192) + sqrt(192))**2.
-48*sqrt(3) + 201
Simplify ((sqrt(245) + (sqrt(245) + 1)*4 + sqrt(245) - ((sqrt(245) - (1 + sqrt(245))*2) + sqrt(245)))*-5)**2.
12600*sqrt(5) + 221400
Simplify (((1*sqrt(456))/sqrt(12))/(sqrt(22)/(sqrt(44)/sqrt(4))))**2.
19
Simplify (-2*sqrt(77)*2)/(-5*sqrt(33)/sqrt(3) - sqrt(11) - sqrt(11)).
4*sqrt(7)/7
Simplify sqrt(1728)*-5.
-120*sqrt(3)
Simplify (sqrt(162) + 2)*-6.
-54*sqrt(2) - 12
Simplify (-4 + 1 + sqrt(15)/sqrt(3))**2.
-6*sqrt(5) + 14
Simplify (sqrt(980) - (-1 + sqrt(980))) + sqrt(20).
1 + 2*sqrt(5)
Simplify (sqrt(171) + -5)**2 + 5.
-30*sqrt(19) + 201
Simplify (sqrt(500) + -3 + -5 + 1)**2.
-140*sqrt(5) + 549
Simplify (sqrt(153)*2 + -4)*-5.
-30*sqrt(17) + 20
Simplify sqrt(128) + sqrt(128) + (sqrt(128)*-1)**2 + sqrt(8) + 3.
18*sqrt(2) + 131
Simplify -1 + sqrt(152)/sqrt(8) + 3.
2 + sqrt(19)
Simplify 5*(((sqrt(17) - sqrt(51)/sqrt(3))*6)**2 + 5).
25
Simplify 4*(-1*sqrt(102)*2 + sqrt(102))/(sqrt(96)*-2 - sqrt(6)).
4*sqrt(17)/9
Simplify sqrt(11) + 0 + sqrt(11) + -4 + -4 + -4.
-12 + 2*sqrt(11)
Simplify (sqrt(32) + 1)*2 + 1.
3 + 8*sqrt(2)
Simplify -2*(sqrt(448))**2 + 2.
-894
Simplify 1*sqrt(1900) + 4.
4 + 10*sqrt(19)
Simplify (-3*-2*sqrt(42))/(sqrt(24)/sqrt(4)*-3).
-2*sqrt(7)
Simplify (sqrt(204) + (sqrt(204) - 6*(sqrt(204)*-1 - sqrt(204)) - sqrt(204)))/sqrt(12) + -3.
-3 + 13*sqrt(17)
Simplify (-3 + sqrt(12)/sqrt(6))*-2*-5.
-30 + 10*sqrt(2)
Simplify sqrt(252)*4*1.
24*sqrt(7)
Simplify sqrt(27)*-2*-5.
30*sqrt(3)
Simplify -4*(5 + (-1 + sqrt(720))**2).
-2904 + 96*sqrt(5)
Simplify -5*(sqrt(7) - 1*sqrt(7)*1).
0
Simplify ((-1*sqrt(5)*4 + sqrt(5) - sqrt(5))*-3)**2.
720
Simplify 3*(sqrt(2057) + -2).
-6 + 33*sqrt(17)
Simplify (-3 + 1 + sqrt(2)*-2 + (sqrt(504) - (sqrt(504) + (sqrt(504)*2 - sqrt(504)) + sqrt(504) + sqrt(504) - sqrt(504)) - sqrt(504))/sqrt(7))**2.
80*sqrt(2) + 804
Simplify (sqrt(18) + 3*sqrt(162)/sqrt(9))/sqrt(9).
4*sqrt(2)
Simplify (sqrt(637) + (sqrt(637) + -2*(3*sqrt(637) - sqrt(637)) - sqrt(637)) - -2*-2*sqrt(637))**2.
31213
Simplify (((sqrt(56)/sqrt(4))/sqrt(2))**2 + 0)*-3.
-21
Simplify (sqrt(63) - sqrt(1008)*-2)/(sqrt(9)*2*5).
9*sqrt(7)/10
Simplify (sqrt(28)/sqrt(144))**2 + -4.
-137/36
Simplify 5 + sqrt(5) + (sqrt(720) + 1)**2 + 1 + sqrt(80).
29*sqrt(5) + 727
Simplify sqrt(396) + -1 + sqrt(66)/(sqrt(6)*-2).
-1 + 11*sqrt(11)/2
Simplify (-4 + sqrt(12)/sqrt(6) + sqrt(2))**2 - ((0 + sqrt(98) + sqrt(98))**2 - sqrt(2)).
-368 - 15*sqrt(2)
Simplify (sqrt(112)*-1 - sqrt(28))/(2*sqrt(4)*5).
-3*sqrt(7)/10
Simplify (sqrt(76)/sqrt(4)*1 + -1)**2.
-2*sqrt(19) + 20
Simplify ((0 + sqrt(448))**2 - sqrt(448)) + sqrt(21)/sqrt(48) - (-1 + 1 + sqrt(7) + 1).
-35*sqrt(7)/4 + 447
Simplify 4*(-1 + sqrt(288)).
-4 + 48*sqrt(2)
Simplify (sqrt(156) - (sqrt(156) + 5*(sqrt(156) + sqrt(156) + 2*sqrt(156) - sqrt(156))))/(sqrt(192)/sqrt(4) + sqrt(48) - sqrt(12)).
-5*sqrt(13)
Simplify sqrt(832) + 1 + sqrt(832) + 3.
4 + 16*sqrt(13)
Simplify 6*(sqrt(209)/((sqrt(132)*-3)/sqrt(12) + sqrt(11)))**2.
57/2
Simplify ((sqrt(475) - (sqrt(475) + 2)) + -1)**2.
9
Simplify -2 + (-2*sqrt(152)*5)/(sqrt(192)/sqrt(6) + sqrt(8)).
-10*sqrt(19)/3 - 2
Simplify 5 + (3 + sqrt(52)/sqrt(4) - sqrt(13))*-2.
-1
Simplify (-1*sqrt(847))**2 + 0.
847
Simplify (-1 + sqrt(13))*-2 - (-2*sqrt(13)*-2 + sqrt(13))**2.
-323 - 2*sqrt(13)
Simplify sqrt(3) + sqrt(21)/(sqrt(35)/sqrt(5)) + (6*(sqrt(3) + -3))**2.
-214*sqrt(3) + 432
Simplify (6*sqrt(8) - (sqrt(72)*-2)**2) + -5.
-293 + 12*sqrt(2)
Simplify (sqrt(1008) + sqrt(1008) + 3 + sqrt(35)/sqrt(405))**2.
434*sqrt(7)/3 + 330352/81
Simplify 4 + (-1 + sqrt(500)*2 + sqrt(500) + sqrt(500))**2.
-80*sqrt(5) + 8005
Simplify -4*(4 + sqrt(98)).
-28*sqrt(2) - 16
Simplify (sqrt(490)*-1)/sqrt(2).
-7*sqrt(5)
Simplify sqrt(132)/(sqrt(48)/(sqrt(8)/sqrt(2))).
sqrt(11)
Simplify sqrt(19)*-4 + 4 - (sqrt(19) + (-6*sqrt(1539))**2).
-55400 - 5*sqrt(19)
Simplify sqrt(84)/(sqrt(60)/(sqrt(10)/sqrt(2))).
sqrt(7)
Simplify (sqrt(68) - 3*sqrt(68)) + sqrt(51)/(sqrt(3)*-2).
-9*sqrt(17)/2
Simplify -2*sqrt(1872)/sqrt(4).
-12*sqrt(13)
Simplify -6*sqrt(5)*-1 - ((sqrt(720) + 1)**2 + sqrt(5)).
-721 - 19*sqrt(5)
Simplify -5*(sqrt(19) + 2)*1.
-5*sqrt(19) - 10
Simplify (1*sqrt(20) + 5*(-1 + sqrt(5)))**2.
-70*sqrt(5) + 270
Simplify 2 + 5*-4*-1*sqrt(19).
2 + 20*sqrt(19)
Simplify (-2*sqrt(280)/sqrt(5))/(6*sqrt(16)/sqrt(2)).
-sqrt(7)/3
Simplify (-5*(sqrt(1188) + sqrt(33) + sqrt(33)))/sqrt(11).
-40*sqrt(3)
Simplify (sqrt(2000)*1)/(-4*sqrt(20)/sqrt(2)).
-5*sqrt(2)/2
Simplify ((-3*sqrt(192))/sqrt(12))/(4*sqrt(72)).
-sqrt(2)/4
Simplify (sqrt(114)/(sqrt(6) - sqrt(18)/sqrt(3) - sqrt(6)) + -2)**2.
4*sqrt(19) + 23
Simplify -4 + ((-2 + sqrt(7) - sqrt(7)) + 4)*4.
4
Simplify (2*sqrt(450) - sqrt(450))/(-4*(sqrt(6) - sqrt(54))).
5*sqrt(3)/8
Simplify (sqrt(110)*-3 + sqrt(110))/sqrt(10) + sqrt(11) + (sqrt(176) + 1 + sqrt(11))**2.
9*sqrt(11) + 276
Simplify -4*(-6*sqrt(110)/sqrt(90)*5)**2.
-4400
Simplify ((-6*(sqrt(190) + sqrt(190) + sqrt(190)*-2) - sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190))/(sqrt(30)/sqrt(3)*-2).
sqrt(19)
Simplify (-3*sqrt(36))/((sqrt(12) + (sqrt(24)/sqrt(2) - sqrt(12)))/sqrt(6)).
-9*sqrt(2)
Simplify (3*sqrt(153)/sqrt(9))**2 + (sqrt(102)*2)/sqrt(6).
2*sqrt(17) + 153
Simplify (-1 + sqrt(832)*-2 + -2)**2.
96*sqrt(13) + 3337
Simplify (sqrt(1584)*3*-6 + sqrt(1584) - 4*-3*sqrt(1584))**2.
39600
Simplify 0 + sqrt(832)*1 - sqrt(832).
0
Simplify (sqrt(25)/sqrt(5) + -2)**2 + ((sqrt(55) + (sqrt(55) - sqrt(110)/sqrt(2)))/sqrt(11))**2.
-4*sqrt(5) + 14
Simplify 1 + sqrt(13) + (sqrt(13) - (sqrt(156) - sqrt(156)*-1)/sqrt(12)) + sqrt(13).
1 + sqrt(13)
Simplify 2*(-3 + sqrt(3))*-3.
-6*sqrt(3) + 18
Simplify (sqrt(360)/sqrt(54))/(sqrt(432)*5).
sqrt(5)/90
Simplify 2*(0 + sqrt(50
|
{
"pile_set_name": "DM Mathematics"
}
|
*r + 0*r - 4*r)*(-r**2 - 3*r**2 + 3*r**2) - 1744*r**3 - 11868*r**3 + 2030*r**3).
23158*r**3
Expand 19*s - s + s + (-5 + 5 - 3*s)*(2 + 0 - 6).
31*s
Expand (17*u - 34*u**2 - 17*u)*(50 + 9*u**2 - 50)*(0 + 4 - 2).
-612*u**4
Expand -1090*x + 1090*x + 51*x**4 + 2*x**3 - 6*x**4 - 2*x**3 + x**4 - x**4 + 2*x**4 + (-x**2 - 2*x**2 + 5*x**2)*(0*x - 2*x**2 + 0*x).
43*x**4
Expand (-5*x + x + 2*x + 0*x + 0*x - 2*x + (-2*x - 3*x + 3*x)*(-2 - 2 + 7))*(5 - 5 - 2*x**2) - 33*x + 4*x**3 + 33*x.
24*x**3
Expand (2*z - 3*z + 0*z)*(1 + 0 + 1) - 180*z - 211*z + 431*z - 8.
38*z - 8
Expand (3 - 3 - 2*b)*(-2 + 1 - 1) + 0*b - b + 0*b + 17*b - 17*b - 7*b + (6 + 2 - 3)*(0 - 3 + 2)*(5*b - b - b) - 2*b + 0 - 2 - 1.
-21*b - 3
Expand (2 - 1 - 3)*((907 - 907 - 6*t)*(3*t**3 + t - t) - 21*t**4 - 29 + 29) + 0*t**4 + 3*t**4 - 4*t**4.
77*t**4
Expand (-83 - 67 - 87 + 58)*((-m - 5*m + m)*(1 + 1 + 0) - 3*m + m + 4*m + 3*m - 3*m + 3*m).
895*m
Expand (56*c**3 + 81*c**3 + 16*c**3)*(2*c + c - 2*c)*(-4 + 4 + 2).
306*c**4
Expand (-1 + 1 - 2*u)*(-1 + 2 + 1) + u - u - 3*u + (23929 - 13299 - 13224)*(3 - 3 + 2*u).
-5195*u
Expand (-5397*r**2 - 45 - 47 + 92)*(-3*r + 2*r - r).
10794*r**3
Expand 5127 + 80*a - 5125 - 3*a + (-3 + 4 + 1)*(-6*a + 19 - 19).
65*a + 2
Expand -4 - h**2 + 4 + (1 + 0 - h - 3)*(-824*h + 429*h + 397*h + 2070).
-3*h**2 - 2074*h - 4140
Expand -16 + 74810*c - 74808*c + 14 + 3217*c**2 + (-2 + 2 - 2*c**2)*(0 - 3 + 2).
3219*c**2 + 2*c - 2
Expand (0*p**2 - 4*p**4 - 4*p**2 + 2*p**4)*(1231 + 1228 - 2469).
20*p**4 + 40*p**2
Expand (43 - 43 - 34*t)*(5*t + 4*t - t)*(2 - 2 + 2).
-544*t**2
Expand (3 - 1 - 1)*(-30 + 30 + 76*h) + (7 - 28 - 22)*(-3*h + 2*h + 2*h).
33*h
Expand 206*b**2 + 49372 - 49372 - 2*b**2 - 3 - 3*b**2 + 3*b**2 + (-1 + 2*b + 1)*(-3*b + 2*b - b) + 2*b**2 - 3*b**2 + 3*b**2.
202*b**2 - 3
Expand -52*m**5 + 0*m**5 + 8*m**5 - 3*m**5 + m**5 + m**5 - 2*m**5 + 4*m**5 - m**5 + (3 - 2 + 0)*(1 + m**5 - 1) - 3*m**5 + 6*m**2 - 6*m**2.
-46*m**5
Expand (-2 + u**2 + 2)*(2*u - 3*u + 0*u) + (u + u + u)*(7*u**2 + 15*u**2 - 11*u**2) + 36*u**2 - 250*u**3 - 36*u**2 - 25*u**3.
-243*u**3
Expand (3*i**2 - 2*i**2 - 3*i**2)*(-257*i**2 - 362*i**2 - 1164*i**2).
3566*i**4
Expand (-2*t + 5 - 5)*(81 + 1232*t - 81 + 3872*t).
-10208*t**2
Expand ((-2 - 5 + 1)*(-15 + 7 - 8) - 6 + 3 + 1)*(0*o - o**3 + 0*o).
-94*o**3
Expand (-m - 4*m + m)*(-116*m + 239 + 157*m - 241).
-164*m**2 + 8*m
Expand (0 - 4 + 1)*(-1 + 2*m + 1) - m - 1535 - 503 - 750.
-7*m - 2788
Expand ((32*q**3 - 16*q**3 - 121*q**3)*(-2 + 4 - 4) + 10 - 10 + 3*q**3)*(-1 + 2 - 3).
-426*q**3
Expand 13 - 13 + 10*f**2 + (-23*f - 30*f + 229 - 235)*(-2*f + 4*f + f).
-149*f**2 - 18*f
Expand (q - 3*q + 0*q + (-8 + 0 + 13)*(2 + 2*q - 2))*((-2 + 5 - 1)*(-1 + 1 + q) - q + 7*q - 4*q - 19*q + 6*q - 6*q).
-120*q**2
Expand -99955*d**2 - 102698*d**2 + 194854*d**2 + (2*d + 1 - 1)*(-d + 0*d - d).
-7803*d**2
Expand -4*s + 5*s - 5*s + (-1 - 2 + 2)*(2841*s + 3716*s - 302*s).
-6259*s
Expand 1217 - 1217 - 22*z**3 - 2*z**3 - 5*z**2 + 5*z**2 + (z + 0*z - 2*z)*(-4*z**2 + 2*z**2 + 3*z**2) + (5*z + z - 5*z)*(-z**2 + 4*z**2 - z**2).
-23*z**3
Expand (2*v - v + 0*v)*(3*v + 3*v - 4*v) + 4*v**2 - 2*v**2 + 0*v**2 + 1 - 1 + v**2 + 4639*v + 2 - v**2 + 4662*v - 9190*v.
4*v**2 + 111*v + 2
Expand (-4*m + 0*m + 0*m)*(-188086 + 377*m**4 + 188086 + (-2*m + 0*m + 4*m)*(2*m**3 + m**3 - 4*m**3) + m**4 + m**4 - 3*m**4).
-1496*m**5
Expand ((4 + 3 - 5)*(5 - 4 - 2) - 1 - 1 + 3)*(552 - 552 - 63*d)*(3 - 1 + 1).
189*d
Expand 157*n**2 + 33*n**2 + 41*n**2 - 3*n - n**2 + 3*n + (0*n + 2*n - 3*n)*(2*n - 3*n + 2*n) - 13*n**2 + 7*n**2 + 2*n**2 + n**2 + n**2 + 0*n**2.
227*n**2
Expand ((k**3 + 0*k**3 + 0*k**3)*(-10*k - 11*k + 8*k) + 13*k**2 - 13*k**2 - 40*k**4)*(6*k - 3*k - 2*k).
-53*k**5
Expand -m**3 + 0*m**2 + 0*m**2 + (m - 3 + 3)*(2*m**2 + 3*m**2 - 3*m**2) + (-6*m - 17*m - 24*m)*(-11*m**2 + 3*m**2 + 93*m**2).
-3994*m**3
Expand (3 - 5 + 3)*(4 + 0 - 2)*(0*o + o - 4*o)*(-458 + 78 - 1088).
8808*o
Expand -3*h**3 - 7*h**2 + h**3 - 4*h**4 + 6*h**2 + (h + 0*h + 2*h)*(-6*h**3 + h**3 + 3*h**3) - 45 + 45 + 17*h**4.
7*h**4 - 2*h**3 - h**2
Expand (8*a + 3*a - 5*a)*(1633*a**2 - 67*a**3 - 3268*a**2 + 1632*a**2) + 3*a**4 + 4*a**3 - 4*a**3.
-399*a**4 - 18*a**3
Expand 2*h**2 + h**2 - h**2 + (-3*h - 2 + 2)*(-873*h - 874*h + 1749*h - 6)*(-7 - 2 + 3).
38*h**2 - 108*h
Expand (-2*d + 1 - 1)*((2*d + 3 - 3)*(5 - 10 - 9) + 4 - 4*d - 4).
64*d**2
Expand (8 - 8 - 4*l)*((4*l - 2*l + l)*(2 - 2 - l) + (7 + 6 - 3)*(1 - 1 + l**2)).
-28*l**3
Expand -6*n**5 + 4*n - 4*n + (-80*n**4 - 90*n**4 + 30*n**4)*(2*n + 3*n - 3*n) + 6*n**5 - 6 + 3 + 2.
-280*n**5 - 1
Expand (-1 + 1 + 3*l**2 + (-4 - 2*l**2 + 4)*(-2 - 1 + 1) - 8*l**2 + 4 - 4 + l**2 - 6*l**2 + 2*l**2)*(4 - 5*l**3 - 4).
20*l**5
Expand (-2*w**2 - 3*w + 4*w - w**2)*((6*w - 2*w - w)*(-16*w + 23*w + 32*w) + w**2 - 5 + 5).
-354*w**4 + 118*w**3
Expand 3*m**5 - 4*m + 4*m + (2*m - 3*m - 6*m)*(10*m - 3*m + 9*m)*(0*m**3 + 0*m**3 + m**3 + (0 + 3 - 2)*(2*m**3 + 3*m**3 - 6*m**3) - 4*m**3 + 3*m**3 + 3*m**3).
-221*m**5
Expand (-2 + 5 - 2)*(-3 + 3 + 2*l + (3 - 5 + 3)*(l - 3*l + 4*l)) + 4*l + l + 3*l - 7 + 2 + 7 + 21*l.
33*l + 2
Expand (8*g - 8*g - 6*g)*(-g - 3*g + 3*g) + (65*g**2 - 10*g**2 + 16*g**2)*(-3 + 6 - 2).
77*g**2
Expand (-3*a - 3 + 2*a + 1)*(-205 - 334 - 537 + 90).
986*a + 1972
Expand (-7 - 4 - 3)*(-2*d + 4*d - 3*d)*(-1978 - 1217 + 1317 - 2915).
-67102*d
Expand (2 + 0 - 3)*(2830*c**2 - 20002*c**2 - 4793*c**2 - 10863*c**2).
32828*c**2
Expand (-4*t + t + 4*t)*(-6807 + 1509 + 44152 + 26380 + 11366 + 39946).
116546*t
Expand (-21 + 56 + 140)*(74*m - 158*m - 30*m).
-19950*m
Expand -4*f**2 + f**2 + 0*f**2 + (f + 2 - 2)*(176*f + 49*f + 519*f) - f**2 - f**2 + f**2 + (0*f - f + 0*f)*(0*f + 4*f - 3*f) + 0*f**2 + 3*f**2 - 4*f**2.
738*f**2
Expand -y**2 + y**2 + 9*y**2 + (3 + 2 - 3)*(-1 + 1 - 2*y**2) + 20*y**2 - 28*y**2 - 23*y**2 + (-2 + 0 + 3)*(-4*y - y**2 + 4*y).
-27*y**2
Expand (-2 + 3*p - p - 5*p)*(352 - 72 + 112 + 8).
-1200*p - 800
Expand 2*o**2 + o**2 - 5*o**2 + (3*o - 4*o - 2*o)*(2*o + 0 + 0) + 39*o**2 - 215*o**2 - 208*o**2.
-392*o**2
Expand (p**4 - 2*p**2 - 2*p**2 - 39*p**3 + 5*p**2)*((0 + 1 - 2)*(-5 - 1 + 4) + 2 - 1 + 1 + 6 - 1 - 2 + 4 - 3 + 1)*(3 + 3 + 1).
63*p**4 - 2457*p**3 + 63*p**2
Expand 8*b + 3 - 3 + (-39 + 107 + 23)*(b + 2*b + b).
372*b
Expand (2*k - 4*k - 515 - 391 + 3*k)*(-2*k + 3*k - 2*k)*(-11 - 4*k**3 + 11).
4*k**5 - 3624*k**4
Expand (2379 + 2*v**2 - 2379 - v - 20*v**3)*(5*v - v - 3*v)*(-5 - 8 + 4).
180*v**4 - 18*v**3 + 9*v**2
Expand ((-2 + 2 - 1)*(3*i + 5*i - i) - 2*i - i + 5*i)*(-5780*i + 5780*i + 222*i**4).
-1110*i**5
Expand (-3*u**3 + 5*u**3 + 0*u**3)*(-21 + 80 + 39)*(-6 - 2 + 0).
-1568*u**3
Expand (-13 - 49*t + 6 + 7)*((-3*t**2 - 8*t**2 + 4*t**2)*(t**2 - t**2 + t**2) - 5*t + 5*t + 4*t**4).
147*t**5
Expand (331*c + 301*c - 656*c)*(8 + 18 - 7).
-456*c
Expand -w**2 + 2*w - 2*w + (0*w + 3*w - 2*w)*(-4*w + 2*w + w) + 15*w - 10*w - w**2 + 7*w**2.
4*w**2 + 5*w
Expand (-2*g + 4 + 4 - 5)*(-1 + 3 - 4)*(-4 - 1 + 2) - 69*g + 5*g - 4*g.
-80*g + 18
Expand (-i + 2*i - 6*i)*(-i**4 + i**3 + 0*i**4 + 2*i**3) + (-2*i + 1 - 1)*(4*i**4 + 4*i**3 - 4*i**3) - 3*i**5 + 5*i**5 - 4*i**5.
-5*i**5 - 15*i**4
Expand (0*h**3 - 2*h**3 + 0*h**3)*(2*h**2 + 3*h - 3*h) - 8*h**3 + 6*h**3 - 2*h**5 + h**5.
-5*h**5 - 2*h**3
Expand (-89 + 168 - 77 + 89*g + (0*g - g + 0*g)*(-2 + 3 + 1))*(-119 + 119 + 15*g**2).
1305*g**3 + 30*g**2
Expand 2*g**2 + g**2 - 4*g**2 + (4*g - 2*g - 4*g)*(0*g - 2*g + 0*g) - 2*g**2 - 3*g**2 + 9*g**2 - 44*g**2 - 16*g**2 + 4*g**2.
-49*g**2
Expand ((0 - 2 - 1)*(-4 + 3 - 1) + 902 + 202 - 403)*(-1 + 1 + d).
707*d
Expand 5*b**3 - 4*b**3 - 3*b**2 + b**3 + 2*b + (0*b - 4*b + 0*b)*(-14*b**2 - 4*b**2 - 3*b**2).
86*b**3 - 3*b**2 + 2*b
Expand (7 + 4 - 2)*(-2535*q - 47*q**2 + 2535*q).
-423*q**2
Expand (-1 + 7 - 4)*(-2 + 2 + l) - 2*l + 4*l + l + (-l + 3*l + 0*l)*(10 - 5 + 5).
25*l
Expand (-388*b + 228*b + 728*b)*(3 + 1 + 0).
2272*b
Expand (2*y**2 + 4*y**2 - y**2)*(4 + 3 - 3)*(-8 - 2 + 0) - 2*y - 3*y**2 + y**2 - 3*y**2 + (2*y + 3*y - 4*y)*(-1 + 1 + 2*y).
-203*y**2 - 2*y
Expand (-3105*o + 685*o - 509*o)*(0*o**2 + 2*o**2 - 4*o**2).
5858*o**3
Expand 0*f**3 + 24*f**3 + 4*f**3 + (-7 - 2 + 0)*(3*f - 3*f - f**3).
37*f**3
Expand (-3*c**2 - 1 - 2*c - 11*c**2 + 0)*(-1 - 3 + 8) + (-1 + 3 - 4)*(3*c**2 + c**2 - 2*c**2) - 10*c**2 + 7*c -
|
{
"pile_set_name": "DM Mathematics"
}
|
= -7 + 2, -5*w - 2*v = -u. Calculate the remainder when 12 is divided by w.
2
Let x(c) = 4*c**2 + 2*c + 3. What is the remainder when x(-2) is divided by 13?
2
Let q(d) = -8*d + 1 + 0*d**2 - 1 - d**2 - 1. What is the remainder when 17 is divided by q(-7)?
5
Let i(l) = -l**2 - 3*l + 4. Calculate the remainder when 7 is divided by i(-3).
3
Suppose -2*c + y + 84 = 0, 0*c + 5*c - 5*y - 220 = 0. Calculate the remainder when c is divided by 3.
1
Suppose 6*j - j = 375. Suppose 0*y + 38 = 2*y. Suppose -n + j = 5*q, 4*n + 17 = 4*q - y. What is the remainder when 26 is divided by q?
12
Let t = 147 + -94. Let r be (-6)/21 - (-1054)/14. Suppose 5*v - r = 5*b, 0 = -2*v + 4*b + 4 + 28. What is the remainder when t is divided by v?
11
Suppose 3*v - 5*p = -58, 0*p = -2*v - 5*p - 22. Let h = v + 30. Calculate the remainder when 27 is divided by h.
13
Suppose -k + 56 = 3*k. Let j = 30 - k. What is the remainder when 45 is divided by j?
13
Let n(v) = -34*v + 1. Suppose x = 4*x - 12. Suppose -l - 5 = x*l. What is the remainder when n(l) is divided by 18?
17
What is the remainder when (48/2 - 2) + 2 is divided by 7?
3
Suppose -4*z + 35 = -3*z - 5*c, -5*c = -3*z + 155. Suppose 3*o - z = -2*o. Let n(x) = 2*x**2 - 2*x - 5. Calculate the remainder when n(5) is divided by o.
11
Let l(g) = g**3 + 7*g**2 + 5*g + 2. Calculate the remainder when 89 is divided by l(-4).
29
Suppose c = -0*c. Suppose c = -k + 2*k - 5. Let t = -12 + 25. What is the remainder when t is divided by k?
3
Suppose -h = 2*h. Suppose 2*s + 8 = t, h*t - 2*s = 5*t - 40. Suppose -p = 4*z - 3, -2*p = -2*z + 7 - 43. What is the remainder when p is divided by t?
7
Suppose j - 119 = -6*j. What is the remainder when 45 is divided by j?
11
Let a = 38 - 17. Let t = a + -46. Let r = t - -35. What is the remainder when 28 is divided by r?
8
Let f = 33 - -9. Suppose -5*j + f = -2*j. Calculate the remainder when 54 is divided by j.
12
Let n = 0 - -4. Suppose 0 = -n*u - 57 + 181. Calculate the remainder when u is divided by 8.
7
Suppose r = -5*g + 28, 2*r + 3*g - 5*g = 56. Suppose r = 2*l - 2*o, -4*o + 64 = -2*l + 6*l. Let v = -18 - -26. Calculate the remainder when l is divided by v.
7
Suppose -u + 25 = -4*y, 2*y + 53 = 3*u + 2*u. Suppose -5*x + 5 = -j - 6, 0 = x - 3. Calculate the remainder when u is divided by j.
1
Let y(l) = 5*l - 7. Let h be (-2)/(-3)*(7 - -2). Calculate the remainder when 45 is divided by y(h).
22
Suppose 11 = 2*q - 0*q + x, 5 = -5*x. What is the remainder when 16 is divided by q?
4
Suppose -s - 3*s + 3*j + 18 = 0, s + 2*j + 1 = 0. Let o be (2/s)/((-1)/(-75)). Let v = o + -19. Calculate the remainder when v is divided by 11.
9
Suppose 5*u + 0*d + 2*d = 211, -d = -3*u + 120. What is the remainder when u is divided by 11?
8
Calculate the remainder when 90 is divided by 8/52 - -18*(-99)/(-78).
21
Let g = 57 - 52. Calculate the remainder when g is divided by 2.
1
Let x be 4/2*9/(-2). Let q = -4 - x. Suppose 2*l - 4*z = -2*l + 28, 4*l - z = 34. What is the remainder when l is divided by q?
4
Let f(a) = a**2 - 6*a - 6. Let j be f(10). Suppose -4*k + j = q, -2*q + 0*q - 28 = -4*k. Let r = 3 + 2. What is the remainder when k is divided by r?
3
Let z = -4 + -4. Let u(k) = -k**3 - 9*k**2 - 8*k + 4. Let x be u(z). Calculate the remainder when 66/x - (-2)/4 is divided by 6.
5
Suppose 4*g - 5*g + 4*l = 5, -4*g + 2*l = -8. Suppose s + g*n + n = 7, -28 = -4*s - n. Calculate the remainder when 13 is divided by s.
6
Suppose -748 = -3*s - 0*s + 2*d, 2*d = -5*s + 1236. Suppose -4*n + s = -0*n. Calculate the remainder when n is divided by 21.
20
Suppose 35 = -4*z - 85. Suppose -2*c + 7*c = v + 7, 1 = v - 3*c. What is the remainder when v is divided by 1*2*z/(-12)?
3
Let j(o) = o**3 + 8*o**2 + 6*o - 4. What is the remainder when j(-6) is divided by 7?
4
Suppose 6*y - 385 = y - 3*u, -u - 385 = -5*y. Calculate the remainder when y is divided by 10.
7
Suppose -2*h = 2*u - 46, 5*u - 3*h = 77 + 38. Suppose 4*v = l - u, -2*v - 13 - 76 = -3*l. Calculate the remainder when 91 is divided by l.
29
Let z(a) = -3*a**3 - 3*a**2 - 2*a + 2. Let h be z(-2). Suppose h = y - 0*y. What is the remainder when y is divided by 10?
8
Let l(y) = 7*y + 2. Let i be l(5). Let u = i + -13. Calculate the remainder when u is divided by 13.
11
Let d(f) = f**2 + 7*f + 17. Calculate the remainder when 67 is divided by d(-7).
16
Suppose 0*u - 2*u + 32 = 0. What is the remainder when 28 is divided by u?
12
Suppose 4*w + 3*m = 74, 9*m + 10 = 4*m. Calculate the remainder when 37 is divided by w.
17
Let t(m) = m**3 + 6*m**2 + m - 5. Calculate the remainder when t(-4) is divided by 9.
5
Suppose -4 = -3*m + m. Suppose -m*t - 3*t = -30. What is the remainder when (-4)/(-20) + 54/5 is divided by t?
5
Let a = -47 - -53. Calculate the remainder when 39 is divided by a.
3
Let l(t) = t**2 + 6*t - 2. What is the remainder when l(-10) is divided by 14?
10
Suppose 0 = -2*d - 4*c + 72, 3*c - 2 + 14 = 0. Suppose -5*t - 5*i = -65, 0 = -5*t + 2*i - 21 + 100. Calculate the remainder when d is divided by t.
14
Suppose 3*f = -3*c + 2*c + 35, 5 = f - 3*c. Suppose -f = -2*r + 23. Let a(n) = -50*n**3 + n**2 + 2*n + 1. Calculate the remainder when a(-1) is divided by r.
16
Let t = 14 + -7. What is the remainder when (-1)/(-2) - (-357)/14 is divided by t?
5
Let y = -25 + 38. What is the remainder when y is divided by (0 + -6)*(-2)/3?
1
Suppose 2*l - 3 = -3*n + 4, 1 = 3*l - 5*n. Let k(i) = -3*i - 1. Let t be k(-1). Suppose -t*y - 3 = -3*y. Calculate the remainder when y is divided by l.
1
Let d be (-6)/(-4)*(-4)/6. What is the remainder when (0/2)/d + 68 is divided by 23?
22
Let u = -13 + 33. Calculate the remainder when u is divided by 7.
6
Let u(m) = -m**3 - 8*m**2 - 5*m + 4. Calculate the remainder when 131 is divided by u(-8).
43
Let y(v) = -10*v - 32*v - 37*v. What is the remainder when y(-1) is divided by 27?
25
Suppose 5*q - 4*q = 0. Suppose i + 35 = 5*k + 5*i, -4*k + 3*i + 28 = q. What is the remainder when k is divided by 4?
3
Let b be ((-3)/(-2))/(8/(-16)). Let y = b + 5. Suppose 0*r - y*r = -20. What is the remainder when r is divided by 6?
4
Let z = -104 + 182. Calculate the remainder when z is divided by 20.
18
Suppose -3*u = 2*z - 52, z = -3*u - 2*u + 89. Let i = 120 - 67. What is the remainder when i is divided by u?
17
Let t(m) = 14*m**2 + 45*m - 2. Suppose 2*h - 29 = -j, 3*j + 3 = -2*h + 30. What is the remainder when t(-4) is divided by h?
12
Let i = 14 - 20. Let c = -4 - i. Let u = 6 + c. What is the remainder when 22 is divided by u?
6
Let t = -21 + 40. Calculate the remainder when 94 is divided by t.
18
What is the remainder when 105 is divided by (8/(96/9))/(1/48)?
33
Suppose 2*w + w = 0. Suppose w = 4*f + k - 30, 2*f - 4*k + 1 = f. Calculate the remainder when 40 is divided by f/(3/6 + 0).
12
Let j be (-9)/6 - (-1)/2. What is the remainder when j/(-1) + -2 - -3 is divided by 1?
0
Let q(n) = n**3 - 6*n**2 - 12*n + 4. Let g be (8 - 7) + 1 + -1. Suppose g + 7 = o. What is the remainder when q(o) is divided by 19?
17
Let m = -5 - -7. Suppose -4*j + 4*f = 0, -3*j + m*f + 0 = -3. Suppose 5*o - 40 = 3*v, 16 = o - 4*v + 5*v. Calculate the remainder when o is divided by j.
2
Let q = 8 + -3. Suppose 70 = -q*u + 225. Calculate the remainder when u is divided by 16.
15
Let p be 2 - ((-3)/3 - -1). Let k be -1 + p + -2 - -64. Suppose 2*y + k = 5*g + 6*y, -y = 4*g - 46. What is the remainder when g is divided by 4?
3
Let f(m) = -7*m - 2. Suppose g - 2*g + 7 = 0. Let i = -9 + g. Calculate the remainder when 23 is divided by f(i).
11
Suppose -2*h + 3*q - 5 = 2, 4*q = -3*h + 15. Let d = 3 - 1. Suppose -3*n + 1 = -d*n. What is the remainder when h is divided by n?
0
Let m = 12 - 10. Suppose 3*x = h + 2*x - 10, -m*h + 25 = 3*x. What is the remainder when 20 is divided by h?
9
Suppose -3*l = -5*v - 237, v = l - 3*l + 171. Calculate the remainder when l is divided by 17.
16
Let r(q) = -q**2 - 7*q - 10. Let a be r(-5). Suppose a = -c, h + 3*h - 8 = 3*c. Calculate the remainder when h is divided by 1.
0
Let j(m) = m**2 - 13*m - 8. Calculate the remainder when 35 is divided by j(14).
5
What is the remainder when 6*((-76)/(-3))/4 is divided by (-3 + 5)/((-1)/(-5))?
8
Suppose 0 = 3*l - 2*h - 64 + 18, -5*h = -2*l + 49. Let b = l + -17. Let z = 10 + b. Calculate the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
Let o(n) be the second derivative of f(n). Let a(p) = 3*p. Determine o(a(u)).
99*u**2
Let o(f) = -f - 4. Let p(c) = -3*c + 39. Let s be p(12). Let n(m) = s*m**2 - 2*m**2 - 5*m**2 + 3*m**2. Determine o(n(v)).
v**2 - 4
Let c(d) = -d. Let f(a) be the second derivative of 0 + 1/3*a**3 - 35*a + 0*a**2. Determine c(f(w)).
-2*w
Let l(q) be the third derivative of -q**5/20 - 7*q**3 - 137*q**2. Let x(y) = 2*y. Determine x(l(v)).
-6*v**2 - 84
Let b(d) = 43*d**2. Let j(l) be the first derivative of -988*l**3/3 + 7. Let s(c) = 91*b(c) + 4*j(c). Let a(g) = -2*g. Give s(a(r)).
-156*r**2
Let m(h) = -2*h. Let z(w) be the third derivative of 2*w**5/15 + 5*w**2 + 21. What is z(m(i))?
32*i**2
Let f(y) be the first derivative of -5*y**3/3 - 4. Let w(u) = -u - 1. Let d(g) = g + 6. Let c(h) = d(h) + 6*w(h). Calculate c(f(l)).
25*l**2
Let k(r) = 19*r. Let c(h) = 5774*h. Give c(k(z)).
109706*z
Let p(j) = 3*j**2 - 2*j**2 - 2*j**2. Let i(u) = 2*u**2 - 5*u. Let l(k) = -13*k**2 - 6*k + 0*k + 15*k**2. Let s(q) = 6*i(q) - 5*l(q). Give s(p(n)).
2*n**4
Let p(r) = -7*r + 18*r - 14*r - 6*r. Suppose -2*v + 25 = 5. Let a(j) = j + 11*j - v*j. Give a(p(c)).
-18*c
Let m(p) = -9*p**2 + 3. Let q(j) = 44*j**2 - 15. Let a(k) = 11*m(k) + 2*q(k). Let d(v) = -3*v. Calculate d(a(t)).
33*t**2 - 9
Let o(f) = 9*f. Let h(a) = -2*a**2 + 485*a + 6. Give h(o(n)).
-162*n**2 + 4365*n + 6
Let i(y) = 9*y - 1. Let p(u) = -73*u - 2*u**2 + 24*u + 27*u + 22*u. Calculate i(p(c)).
-18*c**2 - 1
Let l(t) = t + 4. Let p(x) = -3*x - 11. Let i(f) = -11*l(f) - 4*p(f). Let b(u) = u + 1. Let k(d) = -133*d - 114. Let h(c) = 114*b(c) + k(c). Calculate h(i(s)).
-19*s
Let q(o) = 2*o + 217. Let j(d) = -29*d - 3. Let f(s) = 19*s + 2. Let h(z) = 6*f(z) + 4*j(z). Determine h(q(a)).
-4*a - 434
Let d(c) = -27*c**2. Let z(t) = 3*t. Let u be z(-3). Let f be u/2*8/(-18). Let y(n) = -n**f + 294*n - 294*n. Give d(y(p)).
-27*p**4
Let u(g) = 18*g. Let a be 3 + (0 - (0 - -1)). Let s(x) = 0*x**2 - 4*x**2 + x**2 + x**a. Give s(u(y)).
-648*y**2
Let r(n) = -10*n**2 - 12. Let g(y) = -177*y**2 - 2. What is r(g(w))?
-313290*w**4 - 7080*w**2 - 52
Let a(l) = 2*l**2 - 33. Let z(x) = 16*x**2 - x + 6. What is z(a(c))?
64*c**4 - 2114*c**2 + 17463
Let q(c) = 5*c**2. Let u(i) = 5*i**2 - 4*i + 2. Let m be u(1). Let d(k) = 27*k. Let b(f) = -9*f. Let y(j) = m*d(j) + 8*b(j). Give y(q(h)).
45*h**2
Let q(f) be the third derivative of f**5/60 - f**2. Let p = -92 + 94. Let t(l) = -4*l**2 - 11*l**p + 10*l**2. Determine q(t(i)).
25*i**4
Let y(k) = -168*k + 3. Let s(u) = 340*u - 5. Let i(v) = 6*s(v) + 10*y(v). Let f(z) = 2*z. What is f(i(h))?
720*h
Let x(j) = -j**2. Let c = -76 - -76. Let q(b) be the first derivative of -1 - 1/2*b**2 + c*b. Calculate x(q(v)).
-v**2
Let g(r) be the third derivative of r**5/30 + 23*r**3/6 - 15*r**2. Let u(y) be the first derivative of g(y). Let b(z) = 2*z**2. Calculate b(u(n)).
32*n**2
Let r(h) be the third derivative of h**5/60 - h**2 + 9. Let i(f) = 2*f - 10*f + 0*f. Give r(i(n)).
64*n**2
Let a(m) be the first derivative of 3*m**2/2 - 1. Let k(l) = -8*l + 11. Let c = 22 - 16. Let n(b) = -4*b + 6. Let j(d) = c*k(d) - 11*n(d). Give j(a(w)).
-12*w
Let w(y) = -46*y. Let a(k) = -2*k - 353. Determine a(w(u)).
92*u - 353
Let o(a) = -5*a**2 - 6*a**2 + 13*a**2. Let w(k) = -253*k. What is w(o(u))?
-506*u**2
Let i(a) be the second derivative of -a**4/6 + 75*a. Let z(v) = -v**2 - 5*v. Calculate z(i(x)).
-4*x**4 + 10*x**2
Let l(m) = 2*m**2. Suppose -5*s + 2*s + k + 5 = 0, -4*k + 10 = 3*s. Let n(g) be the first derivative of 13/2*g**s + 5 + 0*g. Determine n(l(j)).
26*j**2
Let r(x) = 58*x - 25*x + 90*x + 69*x. Let z(k) = -2*k**2. What is z(r(j))?
-73728*j**2
Let r(x) = 5*x - 241 + 241. Let g(h) be the third derivative of 0 + 2*h**2 + 1/6*h**4 + 0*h**3 + 0*h. Calculate r(g(c)).
20*c
Let b(v) = -399*v. Let o(g) = -4*g**2 + 20. Let k(n) = 9*n**2 - 50. Let m(j) = 2*k(j) + 5*o(j). Determine m(b(l)).
-318402*l**2
Let v(p) = 9*p. Let k(z) = 45*z + 5. What is v(k(o))?
405*o + 45
Let d(w) = 3*w - 35. Let a(k) be the third derivative of -k**5/60 + 118*k**2. Determine d(a(j)).
-3*j**2 - 35
Let v(t) = t. Suppose -5*y + 1 = -3*p + 43, -4*p + 2*y + 70 = 0. Let l be 3 + (-9)/3 + p. Let d(a) = -a - l + 2*a + 19. Calculate d(v(n)).
n
Let n be (5/10)/(3/36). Let v(a) = -n - 2 - 32 - a**2 + 2. Let l(d) = -2*d**2. Give l(v(j)).
-2*j**4 - 152*j**2 - 2888
Let s(f) = -f - 102. Let m(p) = 16*p. Determine s(m(k)).
-16*k - 102
Let x(y) = -488*y**2 + 176. Let m(l) = 2*l. Determine x(m(i)).
-1952*i**2 + 176
Let h(d) = 10*d**2 - 981*d. Let r(l) = -4*l. Calculate h(r(a)).
160*a**2 + 3924*a
Let x(v) = -63*v**2. Let d(y) = -2214*y. Give d(x(j)).
139482*j**2
Let p(i) be the second derivative of 3/2*i**3 + 0 + 0*i**2 + 31*i. Let j(d) = 2*d**2. Determine j(p(f)).
162*f**2
Let d(z) be the third derivative of 11*z**4/4 - 28*z**2. Let g(v) = -v. Give d(g(x)).
-66*x
Let k(x) = 49*x**2 - 11*x. Let d(b) = 29*b. What is k(d(n))?
41209*n**2 - 319*n
Let s(p) = -2*p**2. Let m(v) = -17*v**2 - 34*v. Let n(f) = 11 + f + 19 - 30. Let q(y) = -m(y) - 34*n(y). Give s(q(r)).
-578*r**4
Let q(x) = -11*x**2. Let i(n) = 36*n**2 - 2*n - 6. Give i(q(l)).
4356*l**4 + 22*l**2 - 6
Let d(s) = -8*s**2. Let z(a) = 10*a + 7. Let f(j) = j + 1. Let k(i) = 3*i. Let w(r) = 6*f(r) + k(r). Let n(o) = 7*w(o) - 6*z(o). Give d(n(t)).
-72*t**2
Let z(w) = 26 - 49 + 23 - 4*w**2 - 4*w**2. Let q(r) be the second derivative of r**3/3 - r. Give z(q(a)).
-32*a**2
Let m(l) = -5*l - 1848 + 1848. Let p(r) = 6*r + 1. Calculate m(p(t)).
-30*t - 5
Let m(p) = 12*p**2 + 21. Let l(z) = -3*z**2 - 5. Let a be (3/6)/(-3 + (-375)/(-126)). Let x(y) = a*l(y) - 5*m(y). Let w(q) = 3*q**2. Give x(w(u)).
27*u**4
Let z(t) be the first derivative of 2*t**2 + 104. Let k(l) = 20*l**2. What is k(z(s))?
320*s**2
Let o(a) = -2*a. Let g(j) be the second derivative of -159*j**4/4 + 9*j + 25. Calculate g(o(i)).
-1908*i**2
Let r(h) = h**2 + 2*h**2 - 7*h**2. Suppose -3*b = -4*b + 4. Let k(n) = b + n - 4. Calculate r(k(f)).
-4*f**2
Let c(g) be the first derivative of -5*g**3/3 + 9. Let t = 0 - -2. Let l(k) = -5*k**2 + 5*k**2 - 2*k**t. Give c(l(z)).
-20*z**4
Let u(d) be the third derivative of 0*d**3 + 6*d**2 + 0 - 11/24*d**4 + 0*d. Let g(a) = -a. Let t(o) = -5*o. Let l(y) = 22*g(y) - 4*t(y). What is u(l(b))?
22*b
Let n(f) = 83*f + 5. Let x(o) = 50 + 65 + 3650*o + 104. Let s(k) = -219*n(k) + 5*x(k). Let p(g) = -g**2. Calculate s(p(v)).
-73*v**2
Let v(l) = 2*l. Let f(o) = -4*o + 4*o + 1019 + 29*o**2 - 1017. What is v(f(z))?
58*z**2 + 4
Let s(g) be the first derivative of g**2/2 + 3*g + 46. Let l(h) = h. Give s(l(k)).
k + 3
Let s(l) = -10530 - 5*l + 3*l + 10530. Let o(a) = -11*a + 1. Give o(s(q)).
22*q + 1
Let k(u) = -3*u**2. Let m(b) = -b**2 + 2*b - 2. Let s(p) be the first derivative of -1/2*p**2 + p - 8. Let o(c) = m(c) + 2*s(c). Give k(o(j)).
-3*j**4
Let i(o) = 11*o**2 - 6*o. Let g(v) = -31*v**2 + 17*v. Let k(b) = 6*g(b) + 17*i(b). Let f(w) = 150*w**2. Calculate f(k(s)).
150*s**4
Let h(p) = -2*p**2 - 5. Let v(n) = -8740*n. Give v(h(q)).
17480*q**2 + 43700
Let b(h) = 2*h. Suppose 0 = -16*m + 4*m + 60. Let w(o) be the third derivative of 0 + 0*o**3 + 5/24*o**4 + 0*o - m*o**2. Give w(b(p)).
10*p
Let x(f) be the third derivative of 1/6*f**4 + 0 + 6*f**2 + 0*f + 0*f**3. Let w(c) = -5*c**2. What is x(w(t))?
-20*t**2
Let g(a) = -4*a - 11*a + 12*a - 9*a - 10*a. Let j(b) = -20*b**2. Calculate g(j(z)).
440*z**2
Let x(h) = -3*h - 3. Let f(q) = 678*q. Give f(x(z)).
-2034*z - 2034
Let j(s) = 5*s**2 + 20603 - 20603. Let b(a) = 29*a. Determine b(j(q)).
145*q**2
Let v(p) = -1691045*p**2. Let z(c) = c. Give z(v(j)).
-1691045*j**2
Let d(c) = -8*c**2 + 11*c + 22. Let k(q) = -3*q**2 + 4*q + 8. Let y(v) = -4*d(v) + 11*k(v). Let x(b) = -6*b - 12. What is x(y(l))?
6*l**2 - 12
Let m(f) = 244*f**2 + 2*f + 2. Let r(b) = 19*b**2. Determine m(r(t)).
88084*t**4 + 38*t**2 + 2
Let v(b) = -12*b**2 + 3*b - 9. Let s(j) = 12*j. Give v(s(d)).
-1728*d**2 + 36*d - 9
Let t(a) = 6*a. Let h(k) be the first derivative of 34*k**3/3 - 26. Determine h(t(f)).
1224*f**2
Let q(r) be the first derivative of 1 + 2/3*r**3 + 0*r**2 + 0*r. Let g(m) = -13*m. Calculate g(q(o)).
-26*o**2
Let c(g) be the third derivative of 47*g**5/60 - 131*g**2. Let a(d) = 6*d. What is c(a(b))?
1692*b**2
Let r(b) =
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{
"pile_set_name": "DM Mathematics"
}
|
- 7/6*c**3 + 0 + 2*c + 1/360*c**6. Let y(u) be the second derivative of v(u). Give y(6).
-6
Let g = -49 - -22. Let b be (16/12)/((-6)/g). Suppose -2 = 4*w + b. Let v(k) = -2*k**2 + k - 1. What is v(w)?
-11
Let z(c) = c**3 + 3*c**2 + 5. Let j be 9/(-6) + (-9)/6. Let l(u) = -u + 6*u**2 + 7*u**2 + 2 + u**3 - 11*u**2. Let f be l(j). Give z(f).
-11
Let l(p) = p - 1. Let x(i) = -2*i - 1. Let c(o) = 3*l(o) + x(o). Calculate c(7).
3
Suppose -2*w = 5*d - 26, -d - 4 = -2*d. Let j(i) = 2*i**2 + 9*i - 6. Let a(f) = 2*f**2 + 14*f - 7. Let x(k) = 2*a(k) - 3*j(k). What is x(w)?
-11
Let z(r) = 5*r + 3 + 2 + 6*r**2 + 10*r**2 - 17*r**2. Calculate z(5).
5
Let o(q) = -q + 2*q - 2*q + 4. Let v be (-4 + 3)/(2/4). Let k(j) = j**3 + j**2 - 1. Let i be k(v). What is o(i)?
9
Let k(p) = 13*p**2 + p. Suppose f + f + 42 = 0. Let a = f - -20. What is k(a)?
12
Let r(q) = -q**2 + 2*q + 2. Let s = -43 - -48. Suppose 4*v = -s*t - 18, -3*v + t - 6 = v. What is r(v)?
-6
Suppose 0 = 704*l - 695*l. Let z(y) = y - 15. Give z(l).
-15
Suppose 0 = -6*y + 13*y - 77. Suppose 0*x = -2*x + 4. Let q(f) = -3*f**x - f**3 + 11 - y + 2*f. Calculate q(-3).
-6
Let y(o) = 10*o - 45*o**2 + 5 + 0 + 16*o - 22*o + 47*o**2. Calculate y(-2).
5
Let j(w) = w**2 - 4*w + 1. Let d = -148 - -82. Let a = 72 + d. Calculate j(a).
13
Let h(o) = -4*o**2 + 11*o + 17. Let t(c) = 5*c**2 - 12*c - 19. Let p(d) = -7*h(d) - 6*t(d). What is p(-5)?
-30
Let h = 47 + -45. Let c(f) = -2*f**2 + 5*f**2 - 8*f**h + f**2 + 4*f - 5 - f**3. Let t be -7 + (0 - 2/(-1)). Give c(t).
0
Let q(d) = -d**2 - 12*d - 23. Let j(v) = 4*v**2 + 35*v + 70. Let f(i) = -2*j(i) - 7*q(i). Give f(16).
-11
Let f(r) = -8*r - 52. Let m(i) = -7*i - 45. Let g(y) = -6*f(y) + 7*m(y). Give g(7).
-10
Suppose 79*f = 80*f + 6. Let m(i) = -i**2 - 6*i + 6. Give m(f).
6
Let b(p) = p - 3. Let z be b(3). Suppose -n - 21 = -4*k - z*n, 5*k + 5*n - 45 = 0. Let d(x) = -x**2 + 4*x + 1. What is d(k)?
-11
Let m = -21 - -127/6. Let h(u) be the second derivative of -3/2*u**2 + m*u**4 + 1/3*u**3 + 0 - 12*u. Give h(2).
9
Let b(v) = v**2 - 6*v - 5*v**2 + 0*v**2 + 5*v**2. Give b(6).
0
Let j(s) = 3*s + 5. Let z be j(-4). Let c(r) = 0*r + 0 - 2*r + r - 4. What is c(z)?
3
Let j(v) be the second derivative of v**5/20 + v**4/3 - 7*v**3/6 + 7*v**2/2 + 3*v + 18. Calculate j(-6).
-23
Let w(s) = s**2 + 14*s + 16. Let q be w(-13). Suppose -2*b = 2*k + 3*k + 10, -q*b - k = -11. Let z(l) = -2*l - 5*l**2 + b*l - l - 1. Determine z(1).
-4
Suppose 4*m - z = -0*z + 18, m - 1 = 2*z. Let a(q) = -q**2 + 3*q**3 - 2*q + m*q - 22 - 4*q - 4*q**3. Determine a(0).
-22
Let n(l) = 5*l**3 - 16*l**2. Let o(g) = 3*g**3 - 10*g**2. Let p(t) = -5*n(t) + 8*o(t). Determine p(1).
-1
Let t(x) be the third derivative of x**7/5040 + x**6/180 - 4*x**5/15 - 14*x**2. Let r(g) be the third derivative of t(g). What is r(-6)?
-2
Let t(i) be the second derivative of -i**5/20 - i**4/3 + 7*i**3/6 - i**2/2 + 3*i - 26. Calculate t(-5).
-11
Let w be (9/(-24))/((-1)/8). Let t(n) = -7*n + 27. What is t(w)?
6
Let d(c) = 3 - 2*c + 2*c + 8*c - 5*c. What is d(6)?
21
Let v(p) = 2*p**2 + p**2 + 3*p**2 - 4*p**2 - 1 + 0. Give v(-1).
1
Let c = -8 + 4. Let l(d) be the first derivative of 3*d**2/2 + 2*d - 1464. Determine l(c).
-10
Let x(f) = 48*f - 91*f + 18 + 44*f. Determine x(-18).
0
Suppose 2*m + 2*h = 0, -2*h - 5 = -5*m + 16. Suppose m*r - 12 + 49 = -5*a, -a - 1 = -r. Let b(g) = 0*g + 3 - 5*g - g**2 + g. Determine b(r).
3
Let u be (-18)/(((-2)/4*-4)/(-1)). Suppose 14*x + 30 = u*x. Let n(d) = -d**2 - 5*d + 5. Determine n(x).
-1
Let f(b) be the third derivative of b**5/60 - 11*b**4/24 - 5*b**3/6 + 508*b**2. What is f(12)?
7
Let f(z) = -5*z**2 - 2*z**2 - 3*z**2 + 14*z**2 - 4*z + z**3 - 9 - 5*z. Calculate f(-6).
-27
Let c(m) be the second derivative of -m**5/20 - 7*m**4/12 - m**3 + 5*m**2/2 + 102*m. Give c(-6).
5
Let y(b) = -2*b**2 - 3*b + 6. Let p be (6 - 6) + 2 + -5 + 4. Let u(t) = t**2 - t - 1. Let n(h) = p*y(h) + 3*u(h). Give n(4).
-5
Let a(v) = -7*v**3 + 7*v**2 + 9*v + 2. Let q(d) = -9*d**3 + 7*d**2 + 10*d + 3. Let h(t) = 5*a(t) - 4*q(t). Give h(-6).
4
Suppose 0 = 4*z + 12 - 8, 0 = 5*r - 4*z - 29. Let s(x) = -2*x**2 - x - 9. Let c(g) = -3*g**2 - 3*g - 17. Let k(t) = -3*c(t) + 5*s(t). Calculate k(r).
1
Suppose 0 = 4*x - 5*i - 23 - 3, 0 = -2*i + 4. Suppose x*h = 7*h. Let z(p) = -p**2 + p - 1. Give z(h).
-1
Let z(j) = j - 1. Let x = 146 - 154. Give z(x).
-9
Let q(j) = 18*j**2 + 181*j + 16. Let a be q(-10). Let s(h) = h**3 - 7*h**2 + 6*h + 5. Let o(z) = 1. Let f(l) = -2*o(l) + s(l). Determine f(a).
3
Let x(u) = -u**2 + 4*u - 7. Let a(n) = n + 1. Let d(q) = -3*a(q) - x(q). Calculate d(6).
-2
Let k(d) be the second derivative of d**5/20 - d**4/2 - d**3/2 + 6*d**2 - 2*d - 1. Give k(6).
-6
Suppose -213 - 2 = -43*k. Let a(c) = c**3 - 6*c**2 + 4*c + 6. Give a(k).
1
Suppose -3*q - 5*p = -1 - 24, -2*q - 5*p + 10 = 0. Let f = -9 + q. Let c(o) = -3*o - 3. Let x(y) = 4*y + 4. Let r(n) = 7*c(n) + 5*x(n). What is r(f)?
-7
Let g(f) be the first derivative of -f**2 + f - 116. Determine g(11).
-21
Suppose 0 = -4*n + 2*n + 6. Let b(d) = -20*d - 23. Let k(p) = -7*p - 8. Let a be ((-3)/(-2))/(9/24). Let g(t) = a*b(t) - 11*k(t). Determine g(n).
-13
Let z(i) = -6 + i + 0*i + 0*i. Let k = -22 - -38. Let b = 16 - k. Give z(b).
-6
Let k(m) = m**3 + 5*m**2 - 6*m - 4. Let p(a) = 3*a**3 + 14*a**2 - 17*a - 11. Let h(b) = -17*k(b) + 6*p(b). Suppose 0 = 26*f - 31*f. Determine h(f).
2
Let t(c) = -3*c - 3 + 0 + 4. Let a(v) = v**3 - 15*v**2 - 50*v - 70. Let f be a(18). Give t(f).
-5
Let g(i) be the third derivative of i**6/120 - i**5/30 - i**4/6 + i**3 - 11*i**2 - 5*i. Calculate g(4).
22
Let o = 13 + -4. Let i be -7 + (-2)/((-6)/o). Let j(a) be the third derivative of a**4/24 - a**3/3 - 4*a**2. Calculate j(i).
-6
Let g(f) = f + 3. Let k be g(-4). Suppose 6*d + 45 = 15*d. Let u(l) = 4*l**2 + 189 - 190 + d*l**2. What is u(k)?
8
Let c(b) = -7*b + 2. Let v(g) = 10*g - 2. Let i(l) = 4*c(l) + 4*v(l). Calculate i(6).
72
Let u(t) = -t**3 - 5*t**2 - 1. Let x(j) = -j - 2*j**2 + 8*j**2 + 2*j - j**3 + 4*j + 9. Suppose k + 18 = 2*f + 4, -2*k = 0. Let m be x(f). Give u(m).
-1
Let d(s) = 7*s. Let h be (-84)/21 + (15 - -1). Suppose k - 4 = -5*j - 16, -3*j = 3*k + h. What is d(k)?
-14
Let s(n) = -6*n + 2. Let v(b) = -5 + 4 - 1 + 0 + 5*b. Let r(f) = 6*s(f) + 7*v(f). What is r(-4)?
2
Let a(p) = -p**3 - 6*p**2 + 3*p + 6. Suppose 4*m = -4*o + 12, -4*o + o + 9 = m. Suppose -o*h - 26 = -2*n, 3*n - 7 - 17 = 2*h. What is a(h)?
-12
Let w(o) = o + 13. Let l(h) = -31*h + 232. Let u be l(8). Give w(u).
-3
Let l be (-42)/16 - ((-444)/96 + 5). Let o(b) = -2*b**3 - 6*b**2 + 2*b - 3. Calculate o(l).
-9
Let q(v) = -v**3 + 5*v**2 - 4*v + 5. Let x be q(4). Let a(s) be the first derivative of s**4/4 - 2*s**3 + 3*s**2 + 4*s - 12. Calculate a(x).
9
Let k(b) = -b + 4. Let p be k(-4). Let n = p + -5. Let i(a) = -n - 7*a - 3*a + 4*a + a. Give i(-2).
7
Let y(t) = t**3 - t - 1. Let u(i) = -3*i**2 + 3*i + 2. Let c(m) = u(m) + 2*y(m). Suppose 4 = 2*q - 0. Give c(q).
6
Suppose -2*r - 5 = g - 5*r, 0 = -r + 4. Let n(f) = 0*f**2 - 6*f**2 + g*f**2 + 7*f - 1. Let d be 45/(-6) - (-1)/2. What is n(d)?
-1
Let u(l) = -2*l. Suppose -55 = 2*k + 9*k. Let t be k/(4 - -1) - 3. Determine u(t).
8
Let g(b) be the third derivative of -b**5/60 - 5*b**4/24 - 4*b**3/3 + 114*b**2. Calculate g(-6).
-14
Let t(n) = -n + 31. Let a be t(0). Let l = a - 26. Let r(s) be the third derivative of -s**5/60 + 5*s**4/24 + 5*s**3/6 + 4*s**2. Give r(l).
5
Let o(p) = -3*p**3 - 19*p**2 - 25*p + 31. Let x(j) = -14*j**3 - 74*j**2 - 100*j + 124. Let b(h) = -9*o(h) + 2*x(h). Determine b(24).
-7
Let t(x) be the third derivative of -x**6/120 + x**5/10 - x**4/3 + 5*x**3/6 + 35*x**2 + 2*x. Determine t(5).
-10
Let t(s) = 1117 - 1117 + 9*s. Calculate t(-2).
-18
Suppose h - 3*g + 20 = 0, 4*g + 48 = -5*h - 52. Let m be (-50)/h*28/10. Let r(p) = p**3 - 8*p**2 + 8*p + 1. Determine r(m).
8
Let c(g) = 1 + 0*g + 7*g**2 - 5*g + 6*g. Suppose -6*r + 4 = -3*r + 2*f, 3*r + 6 = 3*f. Suppose -5*i = r, -w + 2*w - 3*i + 1 = 0. Determine c(w).
7
Let o = 525 - 527. Let f(l) = l**3 - 4*l - 3. What is f(o)?
-3
Let x(h) = -h**2 - 4*h + 6. Suppose -123*v = -131*v + 16. Give x(v).
-6
Let o(m) be the second derivative of -m**4/4 - m**3/2 - m**2/2 - m. Suppose -4 = -4*q + 3*p, 127 - 133
|
{
"pile_set_name": "DM Mathematics"
}
|
ut replacement from {t: 5, o: 3}?
1/56
Calculate prob of picking 2 v and 1 g when three letters picked without replacement from gggvgvvgvgg.
14/55
Two letters picked without replacement from vpu. Give prob of picking 1 v and 1 u.
1/3
Calculate prob of picking 1 m, 1 v, and 2 b when four letters picked without replacement from {b: 2, v: 1, q: 1, m: 2}.
2/15
Calculate prob of picking 4 b when four letters picked without replacement from {b: 7, i: 3}.
1/6
Calculate prob of picking 1 n, 1 r, 1 p, and 1 e when four letters picked without replacement from {c: 7, n: 1, r: 1, e: 2, t: 4, p: 4}.
2/969
Two letters picked without replacement from {z: 1, i: 7, u: 6, t: 5}. What is prob of picking 1 t and 1 z?
5/171
What is prob of picking 2 y and 1 e when three letters picked without replacement from {k: 3, n: 5, g: 1, a: 3, e: 1, y: 2}?
1/455
Calculate prob of picking 3 x and 1 h when four letters picked without replacement from xxgxgvggmhghmxgm.
2/455
Two letters picked without replacement from {x: 5, k: 9}. Give prob of picking 2 x.
10/91
Three letters picked without replacement from jjcjvuivviiijjicj. Give prob of picking 1 c, 1 v, and 1 j.
9/170
Three letters picked without replacement from jjxqtttlxtttltzlx. What is prob of picking 1 j and 2 x?
3/340
Two letters picked without replacement from vvvvv. What is prob of picking 2 v?
1
Two letters picked without replacement from {c: 6, a: 1, b: 8}. What is prob of picking 1 c and 1 b?
16/35
What is prob of picking 1 z and 2 v when three letters picked without replacement from {b: 2, z: 2, v: 4}?
3/14
Two letters picked without replacement from uuuuuuuuuxuu. Give prob of picking 2 u.
5/6
Three letters picked without replacement from kikiki. Give prob of picking 1 i and 2 k.
9/20
Calculate prob of picking 2 e and 1 j when three letters picked without replacement from jjejee.
9/20
What is prob of picking 4 j when four letters picked without replacement from jjjjjjjjjj?
1
Two letters picked without replacement from {z: 3, r: 1, j: 1, v: 5}. Give prob of picking 2 v.
2/9
Four letters picked without replacement from {d: 5, n: 1, q: 11, t: 2}. Give prob of picking 1 d, 2 t, and 1 q.
55/3876
Calculate prob of picking 1 f and 1 q when two letters picked without replacement from tlotylltllftttyq.
1/120
Calculate prob of picking 4 c when four letters picked without replacement from {c: 9}.
1
Three letters picked without replacement from papfcaapapccccp. Give prob of picking 1 p and 2 a.
6/91
Two letters picked without replacement from {t: 1, e: 1, u: 1, l: 5, j: 2}. What is prob of picking 1 u and 1 l?
1/9
Two letters picked without replacement from bbjbwjbwbbbwwjwjbj. What is prob of picking 1 w and 1 j?
25/153
Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {s: 2, n: 1, u: 2, m: 4}.
1/18
Calculate prob of picking 1 y, 1 z, and 1 g when three letters picked without replacement from {c: 1, w: 1, g: 2, z: 3, y: 1, t: 3}.
2/55
Three letters picked without replacement from {p: 1, g: 2, u: 2, h: 1, z: 4}. Give prob of picking 1 p, 1 g, and 1 z.
1/15
Four letters picked without replacement from pugfdnn. What is prob of picking 1 d, 1 f, 1 n, and 1 u?
2/35
What is prob of picking 1 g and 1 z when two letters picked without replacement from gogollooobooizgli?
3/136
Calculate prob of picking 1 g and 1 z when two letters picked without replacement from zggg.
1/2
Calculate prob of picking 4 z when four letters picked without replacement from {u: 1, z: 6, i: 3, r: 3, f: 1}.
15/1001
What is prob of picking 1 p and 3 e when four letters picked without replacement from pppppepepepepppppppp?
64/4845
Two letters picked without replacement from {n: 2, v: 3, o: 1, f: 1, c: 3, w: 1}. Give prob of picking 1 v and 1 o.
3/55
Calculate prob of picking 2 p, 1 h, and 1 c when four letters picked without replacement from {r: 1, p: 8, k: 1, c: 4, h: 1}.
16/195
What is prob of picking 2 v and 1 j when three letters picked without replacement from varqagvj?
1/56
Calculate prob of picking 1 m, 1 u, 1 l, and 1 x when four letters picked without replacement from rxclumm.
2/35
Two letters picked without replacement from ohtoo. What is prob of picking 2 o?
3/10
What is prob of picking 4 w when four letters picked without replacement from {m: 6, c: 2, w: 7}?
1/39
What is prob of picking 2 p when two letters picked without replacement from aapraaaappaaaaaaar?
1/51
What is prob of picking 1 l and 1 j when two letters picked without replacement from {o: 1, w: 1, i: 3, f: 3, j: 3, l: 3}?
9/91
What is prob of picking 1 t and 2 o when three letters picked without replacement from {d: 2, k: 3, t: 2, o: 4}?
4/55
Two letters picked without replacement from ooowtow. Give prob of picking 2 w.
1/21
Four letters picked without replacement from {e: 5}. What is prob of picking 4 e?
1
Four letters picked without replacement from {x: 4, o: 2, i: 7}. What is prob of picking 1 i, 1 x, and 2 o?
28/715
Three letters picked without replacement from zzzzzz. What is prob of picking 3 z?
1
Calculate prob of picking 2 g when two letters picked without replacement from cggccccccccgccccccgc.
3/95
Calculate prob of picking 2 j, 1 i, and 1 o when four letters picked without replacement from {o: 3, z: 8, i: 2, j: 2}.
2/455
Four letters picked without replacement from zwzwwzqzwwzzwqz. What is prob of picking 1 w, 2 q, and 1 z?
2/65
What is prob of picking 1 k, 1 z, and 1 h when three letters picked without replacement from {h: 3, z: 3, k: 5, j: 4, m: 3}?
15/272
Three letters picked without replacement from {e: 5, f: 1, b: 5, t: 1, p: 2, i: 2}. Give prob of picking 1 t and 2 p.
1/560
Two letters picked without replacement from {d: 1, b: 2}. Give prob of picking 1 d and 1 b.
2/3
Calculate prob of picking 2 v and 2 m when four letters picked without replacement from {v: 7, m: 4}.
21/55
Calculate prob of picking 2 z and 1 l when three letters picked without replacement from glzzzlzlgllzzlzzlg.
49/204
Calculate prob of picking 1 m and 1 u when two letters picked without replacement from tmtmtmmtttmmmtmuum.
2/17
Three letters picked without replacement from {z: 2, n: 2}. Give prob of picking 1 n and 2 z.
1/2
Two letters picked without replacement from keftttkpkpkypppepf. What is prob of picking 1 e and 1 t?
2/51
Three letters picked without replacement from kkik. Give prob of picking 3 k.
1/4
Three letters picked without replacement from imnitnl. What is prob of picking 1 n, 1 t, and 1 m?
2/35
Two letters picked without replacement from {z: 9, n: 1, e: 1, t: 1, d: 1, a: 2}. Give prob of picking 2 z.
12/35
Two letters picked without replacement from {t: 4, c: 3, g: 11}. What is prob of picking 2 c?
1/51
What is prob of picking 1 d and 1 l when two letters picked without replacement from rgqldpd?
2/21
What is prob of picking 1 q and 1 r when two letters picked without replacement from {y: 1, m: 1, q: 1, r: 1, i: 1}?
1/10
Two letters picked without replacement from {c: 10, m: 3, j: 2}. What is prob of picking 2 j?
1/105
Three letters picked without replacement from {g: 4, l: 6, e: 3, v: 1}. Give prob of picking 2 l and 1 v.
15/364
What is prob of picking 2 k and 2 z when four letters picked without replacement from kzzkikzkzkk?
3/11
Three letters picked without replacement from {d: 2, l: 6, q: 1, h: 4, u: 3}. Give prob of picking 1 l and 2 h.
9/140
Four letters picked without replacement from {t: 8, s: 5, j: 2}. Give prob of picking 1 j, 2 s, and 1 t.
32/273
What is prob of picking 3 q and 1 t when four letters picked without replacement from tttqqqtqtqtqqt?
35/143
Four letters picked without replacement from bpeepeipeioeioeibo. Give prob of picking 3 e and 1 o.
1/51
Four letters picked without replacement from xdxdxgdddxd. Give prob of picking 2 d, 1 x, and 1 g.
2/11
Three letters picked without replacement from zzzrprzzaazz. What is prob of picking 1 z, 1 r, and 1 a?
7/55
Two letters picked without replacement from {s: 3, m: 1, f: 2, w: 1, n: 5, e: 1}. What is prob of picking 1 n and 1 m?
5/78
Calculate prob of picking 2 n when two letters picked without replacement from {k: 2, t: 3, n: 2, a: 2}.
1/36
Two letters picked without replacement from {p: 3, o: 2, b: 4, d: 2, c: 2, y: 1}. Give prob of picking 1 o and 1 b.
8/91
Two letters picked witho
|
{
"pile_set_name": "DM Mathematics"
}
|
, 5*k - 8 = d + w for d.
-5
Let v(r) = r**3 + 5*r**2 + 2*r - 4. Let h be v(-4). Suppose -3*b - 6 = 0, -3*j = b + b - 20. Let x = -200 + 203. Solve d + j = -x*y, -h*y - 2 = -y - 2*d for y.
-2
Let x = -101 + 158. Let o = -45 + x. Solve 3*z - o = 3*u, 7*z = -u + 3*z + 16 for u.
0
Let x(p) = p**3 - 7*p**2 - 2*p + 16. Let s be x(7). Solve -3*a = h - 16, -s*h = 5*a - 0*a - 27 for h.
1
Suppose -v - 9 = -4*h, 4*h - 10*v - 4 = -14*v. Solve 0 = 2*i - h*d, 2*i + 4*d = 3 + 15 for i.
3
Suppose 8*f + 226 = 5*f + u, -3*u = -3. Let z be ((-50)/f)/((-1)/(-3)). Solve 11 = z*g - 5*p, -4*g + 0*g + p + 13 = 0 for g.
3
Let m(x) = -3*x**2 - 36*x + 3. Let p be m(-12). Solve -z + 13 = -4*r, 3*r - 21 = 6*r - p*z for r.
-2
Let a(u) = u + 2. Let r be a(2). Let y be (3 + -9)*r/(-6). Suppose -y*n = -5*i - 2, -4*n + 5*n = 5*i - 7. Solve g - 5*k + 4 = 0, -n*g + 4*k - 12 = k for g.
-4
Suppose -23*t = -39 - 30. Solve -5*i = -3*i + t*g - 21, 4*g - 26 = -2*i for i.
3
Let y be 4 + (5/(-1) - -4). Solve 5*a + 3*d - 7 = 0, 0 = -y*a - 2*d + 3*d + 7 for a.
2
Suppose -39 = r - 5*w - 10, 3*r + 5*w = -7. Let i be 3/r*2*-45. Suppose -3*z - 33 = -6*v + v, i = 2*v + 3*z. Solve 3*q = 3*h + v, -5*h + 3 = -2*q + 21 for q.
-1
Let o(z) = -z**3 + 6*z**2 - 8*z + 53. Let p be o(6). Solve 5 + 0 = -p*r - 5*f, -6 = -2*f for r.
-4
Let i(y) = y**3 - 18*y**2 + 19*y - 29. Let z be i(17). Suppose 3*o - 3*n - n = 12, z*o - n = 20. Solve 5*p - o*g = -10 - 8, -3*p - 2*g = 2 for p.
-2
Suppose -2*o - 4 = -4*p, -7*p - 4 = -11*p - o. Solve 0 = -4*y - 3*g - p, 3*y + 0*y + 4*g = 8 for y.
-4
Let b be ((-12)/(-4))/(6/4). Let c(f) = 28*f - 838. Let i be c(30). Solve h + 17 = -2*g + 5*g, -4*h - b*g = -i for h.
-2
Let c be (5 - (2 + -4))/1. Suppose -13*o + 14*o - c = 0. Solve 0 = 5*f - 3*y - 8, -2*f + 4*y + o = f for f.
1
Let z be (-28)/(-12) - (-4)/6. Let q = z - 0. Let l(v) = -v**3 + 8*v**2 + 28*v - 235. Let c be l(7). Solve -3*i - q*o = 2*o + 26, -c = i + 2*o for i.
-2
Let z be (3/(-15))/(3/(-60)). Solve 4*h = -h - 25, -2*f - z*h = 22 for f.
-1
Suppose -3*l = -2*y + 16, 0 = -y - l - l - 6. Solve -9 = -r + 2*w, -3*r + y = -r + 4*w for r.
5
Let d be -1 - (2 + (-16 - -4)). Suppose -d = -4*q + 3*y + 2, -5*q = y - 28. Solve -5*g + 4*p = -3, 5*g + q*p = 3*g - 12 for g.
-1
Let z = -464 - -467. Solve -5*q + s = 7, -3*q - s = z*s - 5 for q.
-1
Let s(h) = h**2 + 10*h - 226. Let g be s(11). Solve -g*d - 4*i - 2 = 0, -2*d - 4*i = -5*d + 18 for d.
2
Suppose 0 = 4*j - 9*j + 20. Let d be (0 + 1)*(j/(-1) - -6). Solve -5*g - 8 = d*z + 17, 0 = 4*z - 2*g - 10 for z.
0
Let p = -5 + 11. Let t(h) be the second derivative of h**3/6 - 3*h**2/2 - 25*h. Let d be t(p). Solve 0 = -0*v + v + 5*s + 22, d*v + 18 = -3*s for v.
-2
Let v(p) = -9*p - 9. Let g(w) = 2*w + 2. Let o(x) = 26*g(x) + 6*v(x). Let a be o(-3). Solve 0 = a*q + 5*r + 7, 4*r + 2 - 6 = 0 for q.
-3
Suppose -4*a + g + 452 - 92 = 0, -g = 4*a - 368. Suppose 4*x = 5*o - a, 5*x + 2 = 7. Let v = 22 - o. Solve 0 = -y - k + v*k + 7, 2*y + k + 1 = 0 for y.
1
Let o(h) = -2*h**2 + 11*h + 8. Suppose 2*m + 0*m - 18 = -2*r, -m + 27 = 4*r. Let s be o(r). Suppose -3 = s*q - 3*q. Solve q*f = -2*g - 4 + 3, -3 = 3*f for g.
1
Let k = -436 - -440. Solve -2*o + 0 + 12 = 2*g, -5*g - k*o = -26 for g.
2
Suppose -r + 3 = -0*r. Suppose 79 = 5*h + 2*q, r*q - 4 = -h + 4. Solve g - h = 2*g - 4*m, g = m - 2 for g.
3
Let o(i) = i**2 - 22*i - 86. Let x be o(26). Suppose -19 = -w + 4*y, w - 4*y + 14 = 3*w. Solve -z + 3*u = -w, z - 5*u = -z + x for z.
-1
Suppose -62*i + 150 = 13*i. Solve -i*x = -3*u - 18, 6 = 3*x - x for u.
-4
Let b be 0/((-4)/(-2)) + (-1 - -3). Let g = -12 + 7. Let w(y) = -y - 1. Let k be w(g). Solve x - b = 0, -x - 2*x = -k*h - 26 for h.
-5
Let u be (36/(-15))/(3/(-20)). Let t = u - 11. Suppose 2*o = t*m - 15, -3*m = 4*o - 8*m + 15. Solve 4*y + n - 22 = o, 0*y - 3*n + 11 = y for y.
5
Let n(b) = 2*b**2 + 7*b + 8. Let v be n(-2). Solve 0 = 6*a - v*a - 3*s - 19, 5*a = -s for a.
1
Suppose -i + 3*r - 8 = 0, i + 20*r - 24*r = -12. Solve -5*t + 9*n - i*n + 25 = 0, 15 = -5*n for t.
2
Suppose 15 = 2*y - 11. Suppose 3*c = y - 4. Let w = 8 - 8. Solve -b + 1 = -2*p - w*p, -5*p - 1 = -c*b for b.
-3
Let g = -3 - -8. Suppose 0 = g*i - 31 - 19. Let q(b) = b**3 + 23*b**2 + 20*b - 42. Let m be q(-22). Solve 2*c - u = -m*c + 13, 5*c + 4*u + i = 0 for c.
2
Suppose -3*v + 10 = -w, 3*w - 7*w = 4. Suppose -2*o + 19 = 3*h + v, -15 = -3*o. Solve -h*z - m + 8 + 1 = 0, -3*z - 2*m = -16 for z.
2
Let v(r) = 5*r - 5. Let z be v(4). Solve k - 5*k - 5*h = 12, -5*k - 2*h - z = 0 for k.
-3
Let l(h) = 29*h - 606. Let c be l(21). Solve 4*v - 12 = -f, 0 = -5*v + c*f - f + 2 for v.
2
Let j = -124 + 133. Let m = 0 + 14. Let p = m - j. Solve o + 6 = 2*x, -3*x + 2 = -o - p*x for o.
-4
Let v be (105/(-42))/(1/(-2)). Solve -5*r + 5 = v*z - 5, -3*z - 5*r = -16 for z.
-3
Let n be 2*(-2)/20 - 16/(-5). Suppose i - 108 = -3*o, 76 = n*o - 4*i - 17. Solve 3*g = 4*g - 5, -4*c = 3*g - o for c.
5
Let s(g) = 14*g + 156. Let v be s(-11). Solve 13 = -0*y + v*y + u, 25 = 5*u for y.
4
Suppose 337*s - 4 = 336*s + 2*u, 0 = -s - 2*u + 4. Solve -d - 2 = 0, -7 = s*k + 3*d - 17 for k.
4
Suppose 2*z - 5*s = 3 - 31, 4*s - 16 = 0. Let i be ((2 - 2)/z)/(-2). Solve n + 3*b = -10, i = 2*b + 8 - 2 for n.
-1
Let b be 1/4 - (-517)/188. Solve m - 4*t = -3, 0*t = -m - 5*t - b for m.
-3
Let w = -7 + 10. Let k(o) = -o - 15. Let p be k(-20). Let r = 6 - 4. Solve -26 = 2*n + 5*g, p*n - r*n + 21 = -w*g for n.
-3
Let x = -337 + 337. Solve 3*n - 4*b - 7 = -2, x = -3*n + 3*b + 6 for n.
3
Let n be (-18)/10 + (-2)/10. Let x = n - -20. Suppose f - x + 12 = 0. Solve 3*j + 0*j + f = -5*q, -5*q - 2*j - 4 = 0 for q.
0
Let s(d) = -d + 5. Let q be s(0). Let n(r) = -r**3 - 1. Let a be n(-3). Let z(i) = -102*i + 106. Let u be z(1). Solve -m = q*b - a, 2*b + 3*m + 7 = u*b for b.
5
Let s(u) = -2*u**3 + 2*u**2 + 6*u - 1. Let t be s(2). Solve -t = 5*l - h + 2, 5*h = l - 23 for l.
-2
Suppose 0 = -2*t + 5*l + 222, t + t = 4*l + 220. Let r = -102 + t. Solve 2*y = y + r*m + 6, -2*y = 4*m for y.
2
Let j = 11 + -8. Let a = 26 - 20. Let g(y) = -y**2 + 6*y + 3. Let o be g(a). Solve 0 = o*m - j*p, m + p + 8 = -0*m for m.
-4
Suppose -9*p - 108 = -5*x - 12*p, 4*p = -5*x + 104. Solve a = 4*d - x, 6*a - 20 = 11*a for d.
5
Let a be 6/2*10/(-15). Let q = a - 8. Let y = 15 + q. Solve 5*f - 2 = -5*m + 3, -y*f + 3*m = 19 for f.
-2
Let l = 795 - 793. Solve l*b = -4*c - 12, 0 = c + 2*b + 1 + 2 for c.
-3
Let w(d) = 9 + 0*d + 7 - 2*d. Let z be w(6). Solve -5*v + 20 = -4*q, -q + 20 = z*v + v for v.
4
Let d be (-14)/(-3) - 1/(-3). Suppose 4 = -d*l + 6*l. Suppose 4*g - l*j - 17 = 3, -g + 4*j = -20. Solve -5*k + 1 = 5*p + 6, -4*k - 2*p - 12 = g for k.
-5
Let w be (-3 + 9)*38/4. Suppose 0 = -5*h + 3 + w. Solve 6 = -2*z - 0, -3*t - 4*z - h = 0 for t.
0
Let t(c) = c**3 + 4*c**2 + 2*c + 37. Let u be t(-5). Solve -o + 12 = -0*o + 4*b, -5*o - u*b = 12 for o.
-4
Let o(x) = x**3 + 3*x**2 - 3*x + 5. Let d be o(-4). Let w be (5 - d)*(-10)/(-4). Suppose 2 = w*t - 8*t. Solve -3*f + t = -0*r - 2*r, 0 = 2*r + 3*f - 17 for r.
4
Let y be 64/10 + (-4)/10. Suppose -p - y = -4*p. Suppose 2*i - 5*n = 37, i + 6 = -3*n - 3. Solve u + 0*u = l + p, 3*u = 4*l + i for l.
0
Let m(w) = w**2 - 5*w + 7. Let p be m(4). Suppose 4*q = -p*q + 21. Solve 4*f - 3*l - q = 2*l, -11 = -4*f - 3*l for f.
2
Suppose -4 = -2*y - 5*m, 46 = -y + 3*m + 48. Solve y*s + 4*r - 22 = 0, 0 = 9*r - 4*r - 15 for s.
5
Suppose -9*b - 6*b = -14*b. Suppose -5*d = -2*p - 28, 2*p = 3*d - 0*d - 20. Solve -k - 3*u + 2 + 1 = b, -4*k + 4*u = d for k.
0
Let z be (-370)/(-40) + 6 - (-1)/(-4). Let j(s) = -2*s - 1. Let g be j(-3). Suppose 0 = -3*w - w. Solve u + g*i = z, -3*i + w + 9 = 3*u for u.
0
Let n = -16 + 27. Suppose 15*c = 17*c. Suppose 2*v = 5*w - 27, c = -3*w - 0*w + v + 16. Solve 2*b = -y + n, -w*y + 4*b = -3*y + 18 for y.
1
Let m be 5/3*(-6)/(-5). Suppose -5*l = -p + 3 - 24, -m*p = -8. Solve -10 = -3*k + l*q, 2*k + q = -2*q - 6 for k.
0
Let h = -87 + 38. Let s = h + 54. Solve 4*y = 2*x - 10, -4*y - 3 = -s*x + 10 for x.
1
Let b = 554 + -549. Solve -5*f - 50 = b*o, 4*o + 17 - 2 = f for f.
-5
Let c(t) = -2*t**2 + 18*t. Let y be (-5)/((-75)/9)*5 + 6. Let k be c(y). Let m be (6/5)/((-6)/(-15)). Solve 7 = 3*l + 2*p, k = l + 4*l + m*p - 12 for l.
3
Let d(b) = -b**3 - 5*b**2 - 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
of g(d)?
2
Suppose -n = -4*k + 226, 3*n + 4 = 5*n. List the prime factors of k.
3, 19
Let n be (0 - (-1 + 0))*3. Suppose 40 = a - 2*d, 161 = 2*a + n*a + 3*d. What are the prime factors of a?
2, 17
Let d(o) = -2*o**2 + 3*o - 2. Let g(p) = -3*p**2 + 5*p - 4. Let n(i) = 5*d(i) - 3*g(i). Let x be n(0). Suppose -50 = -x*z - 3*z. List the prime factors of z.
2, 5
Let o(n) = -n - 2. Let g be o(-2). Let w be (-60)/(-8)*(-2 - g). List the prime factors of (-18)/w*30/4.
3
Let o be 2/(-3)*3 + 2. Suppose o = -k + 6*k - 90. List the prime factors of k.
2, 3
Let f(c) = -c**3 + 6. Let d be f(0). List the prime factors of (-6)/9 - (-70)/d.
11
Suppose 4*r = -3*s - 23, 2*r + 30 = -5*s - 3*r. Let m = -9 - 3. Let j = s - m. List the prime factors of j.
11
Let c be 2*18 + 6/3. Let z = -24 + c. List the prime factors of z.
2, 7
Suppose -5*q + q = -36. Suppose -d - 6 = -q. What are the prime factors of d?
3
Let b be (2 + (-9)/12)*4. Suppose -12 - 18 = 5*o. Let p = b - o. List the prime factors of p.
11
Let h(r) = r**3 - r - 2. Let g be h(2). Suppose -g*p + 2*q - 6 = p, -4*p - 4*q - 16 = 0. What are the prime factors of (-6)/(-2) - p/(-2)?
2
Suppose w - 1 = -7. Let p be w*(2 - (-5)/(-2)). Suppose 0*j = p*j - 12. List the prime factors of j.
2
Suppose 4*x = 10 + 66. Let t = x + -14. What are the prime factors of t?
5
Let o = -6 + 7. Suppose 56 = 5*f + o. List the prime factors of f.
11
List the prime factors of (-2)/(-3)*996/8.
83
What are the prime factors of 1/(-4) + 1225/20?
61
Let u(p) be the first derivative of p**2 + 4*p - 3. List the prime factors of u(7).
2, 3
Suppose 3*o + 160 = 7*o. Let m = o + -25. What are the prime factors of m?
3, 5
Let c = 13 - 9. Let b(n) = 4*n + 8*n**3 - 2*n**2 + c*n**3 - 3*n. What are the prime factors of b(1)?
11
Suppose 0 = -6*o + 5*o + 7. Let p = o + -5. List the prime factors of -7*3/(-6)*p.
7
Let r(k) = k**2 + k. Let z be 3/(-3) + 2 + 0. Let j be r(z). What are the prime factors of ((-13)/(-2))/(j/4)?
13
Let v = 0 - -5. Suppose -5*c + v = -4*c. Suppose -16 - 14 = -c*t. What are the prime factors of t?
2, 3
Let x(v) = v**2 - 3*v + 4. Let t(j) = j**3 - 6*j**2 + 3*j - 6. Let k(y) = -y + 1. Let h(q) = -3*k(q) - t(q). Let n be h(6). List the prime factors of x(n).
2
Let y(a) = -5*a - 20. List the prime factors of y(-10).
2, 3, 5
Let b be 2 + -1 - (-2 + 1). Suppose k = -b*k. Suppose k = v - 5. List the prime factors of v.
5
Let p be (-2)/(-1) + (-6 - 1). Let f = p - -4. List the prime factors of 4 - (2 - (4 + f)).
5
Suppose -3*b = -4*f + 43, 4*b = -3*f - 2*f + 46. Let p be (3 + f/(-6))*-3. Let h = -1 - p. List the prime factors of h.
3
Let m(o) = -o**3 - 7*o**2 + 8 + 0*o + 15*o**2 + o - 2*o. Let u be m(8). Suppose u = -3*q + 13 - 1. What are the prime factors of q?
2
Let o(b) = -2*b - 10. Let t be o(-6). Suppose 0 = -l - 4*g + 35, 6*l - 84 = t*l - 2*g. List the prime factors of l.
19
Suppose -3*b = 46 + 5. Let z = 24 + b. What are the prime factors of z?
7
Let w(c) = -c**2 - 5*c - 6. Suppose -2*k - 16 = 2*k. Let y be w(k). What are the prime factors of 9 - (0/3 - y)?
7
Let g be (-2)/4 + (-6)/4. What are the prime factors of (-26)/(-7) - g/7?
2
Let d = 158 - 38. List the prime factors of d.
2, 3, 5
Suppose 5*w - 5*a = 2 - 32, -w + 24 = 5*a. List the prime factors of w/(-7) - (-388)/28.
2, 7
Let w = 5 + -10. Let k be 5 + (0 - -2) + 0. Let o = k - w. List the prime factors of o.
2, 3
Let y(p) = p**2 + 15*p - 3. Let i be y(-16). Suppose -2*z = -z - i. List the prime factors of z.
13
Suppose 0 = 4*g - 2*n, -4*g + 20 = -2*g + 4*n. Let b(j) = -2*j**2 - 8*j + 5 - j**g + 5*j**2 - j**2. List the prime factors of b(8).
5
Let g = 4 + 0. Let c(z) = 3 + g + z + 3. What are the prime factors of c(-5)?
5
Let q(p) = -p + 4. Let h = 7 + -7. Let k be q(h). Suppose -3*o + 58 = 5*y, k*y = 2*y + 10. What are the prime factors of o?
11
Let t(a) = a - 1. Let o(k) = 2*k - k + 2*k. Let p(w) = o(w) - t(w). List the prime factors of p(1).
3
Suppose -12*l + 1 = -11*l, -4*s - 3*l + 955 = 0. What are the prime factors of s?
2, 7, 17
Let n = 71 - 30. Let r = n - 20. List the prime factors of r.
3, 7
Let j be 1/2*(-2 - -2). Suppose 3*f + 0*f - 60 = j. List the prime factors of (-12)/(-8)*f/6.
5
Let r(s) = -s**3 - s**2 - s + 12. Let g be r(0). Suppose 3*f = g + 60. List the prime factors of f.
2, 3
Let m(c) = -c**2 - 6*c + 7. Let z be m(-7). Suppose 0*a = 4*a. Suppose v + a = 2*r - 2, z = -2*r - v + 6. What are the prime factors of r?
2
Suppose -163*b - 101 = -164*b. What are the prime factors of b?
101
Let f = -17 + 29. Suppose 4*m = f - 0, 91 = 5*k - 3*m. List the prime factors of k.
2, 5
Let d(z) = z - 8. Let k be (-1)/3 - (-2)/6. Let g be d(k). Let f = g + 23. What are the prime factors of f?
3, 5
Let i = 13 + 26. List the prime factors of i.
3, 13
Let i be ((-2)/6)/((-3)/54). Suppose -3*m + i*m + 3 = 0. Let v(g) = -9*g**3 + g**2 - 1. List the prime factors of v(m).
3
Let m be (-1 - -3)/4*8. Suppose 0 = 2*p + 4*g - 14, m*g - 1 = p - 2. List the prime factors of p.
5
Suppose -7*b + 3*b = -4, -u - b = -44. What are the prime factors of u?
43
List the prime factors of 866/12 + (-5)/30 + -4.
2, 17
Suppose 0 = -d + 4*v + 19, -v + 59 = 2*d + 21. Let i = -9 + d. List the prime factors of i.
2, 5
Let q(u) = -7*u + 11*u - 2*u + 2. What are the prime factors of q(3)?
2
Suppose 4*y - 5 = -l, 0 = -0*y + 2*y. Suppose 2*x + 3*x - 3*g - 60 = 0, -4*g = l*x - 60. What are the prime factors of x?
2, 3
Let w = -1 + 3. Let p = w + -1. List the prime factors of -2 - p/((-3)/30).
2
Suppose -16 = -a + 5*g + 4, -3*a - 4*g = 16. Suppose -2*x + 2 + 12 = a. What are the prime factors of x?
7
Suppose -4*z - 12 = 4. Let u be (-318)/(-18) + z/6. Suppose -m = -2 - 0, -t = 4*m - u. List the prime factors of t.
3
What are the prime factors of 4/(4/72*3)?
2, 3
What are the prime factors of 74 + (2 - 5)/1?
71
Let t(y) be the second derivative of -y**5/20 - 7*y**4/6 + 7*y**3/3 - 13*y**2/2 - 3*y. What are the prime factors of t(-15)?
2
Suppose 3 + 1 = 4*y - 4*q, y + 3*q = -3. Let j be (y/(-3) - 0) + 10. Let r = j - -5. List the prime factors of r.
3, 5
Let t be (30/4)/(2/4). Suppose 0*z - 3*z = -t. What are the prime factors of (z - 4)*(7 - 0)?
7
Let k(u) = 9*u - 4. Let a be k(-4). Let z = a - -67. List the prime factors of z.
3
Let m(t) = 13*t + 37. List the prime factors of m(21).
2, 5, 31
Suppose 0*v = -v + 28. What are the prime factors of v?
2, 7
Suppose 4*q - 5*q + 27 = 0. Suppose -8 = -r + 3*x, -q = -5*r + x + x. Suppose -5*o + 11 = p - 22, r*o + 2*p - 36 = 0. What are the prime factors of o?
2, 3
Suppose -20*j - 1572 = -26*j. List the prime factors of j.
2, 131
Suppose l + 42 = f, l - 256 + 76 = -5*f. Suppose -q - 3*c = 5 - f, 4*c + 96 = 3*q. List the prime factors of q.
2
Let y(k) = 38*k + 70. List the prime factors of y(8).
2, 11, 17
What are the prime factors of (-54)/(-5)*((-1040)/(-12))/13?
2, 3
Suppose 5*o = -u + 13, 3*o = -0*u + 5*u + 19. Suppose n = -o*n + 32. What are the prime factors of n?
2
Suppose 5*a = -s - 3*s + 137, 2*a - 101 = -3*s. Let y = 59 - s. What are the prime factors of y?
2, 13
Let p = 296 + -95. What are the prime factors of p?
3, 67
Let p be ((-10)/(-25))/((-1)/(-5)). What are the prime factors of (3 - 2)/(p/10)?
5
Suppose -5*w + 1401 = -o + 4*o, -1140 = -4*w + 4*o. List the prime factors of w.
2, 3, 47
Let x(g) = -g**2 - 7*g - 6. Let y be x(-4). Suppose 10 = -2*j, -y*j + j = r + 21. What are the prime factors of 1 - (r - 2) - -4?
3
Suppose 3*v - 25 = 5. Let z = v + 2. What are the prime factors of z?
2, 3
Suppose 3*v = -5*o - 385, 308 = -4*o + 3*v - 8*v. List the prime factors of 282/22 + (-14)/o.
13
Suppose -3*a = -27 - 0. List the prime factors of a.
3
List the prime factors of 1 - 5*(-1 + 34/(-10)).
23
Suppose 93 + 117 = 5*w. List the prime factors of w.
2, 3, 7
Suppose -2 = 3*f - 8. Let z(x) = 2 + 3*x**2 - f + 4*x. List the prime factors of z(-3).
3, 5
Let v(y) = y**2 + 13*y - 28. What are the prime factors of v(-16)?
2, 5
Let c = 26 - 38. What are the prime factors of (-104 + -2)*6/c?
53
Suppose -2*h + h = -85. What are the prime factors of h?
5, 17
Suppose 0 = -g - 5*g + 714. What are the prime factors of g?
7, 17
Let b be 2 - (-2 + 1 + 1). Suppose b*h - 1 = h. Suppose -r = h - 4. List the prime factors of r.
3
Suppose 0 = 5*z + 15, 0*n - 2*z + 78 = 3*n
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose 0*m - 2*m + 4*q + 18 = 0, 11 = -m - 3*q. Let j be ((-4)/9)/((-1)/3). What is the closest to m in y, j, -2/7?
j
Let i = -428 - -428.4. What is the nearest to -0.06 in 5, i, -2, 2?
i
Let w = -224 + 196.8. Let t = w - -26. Let j = t - -1.5. Which is the nearest to 0.1? (a) -4 (b) 4 (c) j
c
Suppose 17 = -4*f + 97. Let z = 0.346 + 0.054. What is the nearest to f in 1, z, 1/4?
1
Let j = -8 - -13. Which is the nearest to 0? (a) j (b) -1 (c) -2/7 (d) -0.4
c
Let l = 0.1066 + -0.0666. Which is the closest to -8? (a) 5 (b) -0.5 (c) l (d) 0
b
Let o = -188 - -755/4. Which is the closest to 0? (a) o (b) -4 (c) 0.04
c
Let k be (9/(-15))/(36/(-60) - -2). What is the closest to 3 in 3, 10, k?
3
Let s = 0.14 + -0.04. Let i = -0.2 - 0.8. Let w = 3.8 + -4.8. What is the closest to i in -3, w, s?
w
Let z = 143 + -198.9. Let k = 57 + z. Which is the nearest to 0.2? (a) k (b) 0.4 (c) 2
b
Suppose 5*l = -5 + 10. Let o = -0.1 + -3.9. Let n = 9 + o. What is the nearest to l in 1, n, 0.5?
1
Let w(s) = 5*s**3 - 4*s + 1. Let b be w(1). What is the nearest to 1/4 in b, 17, 5?
b
Let v = -4.3 - -4. Let i be (-4)/21*390/260. What is the nearest to i in 1/5, 0.1, v?
v
Let b be (-2)/(-9) - 4/99. Let g = 0.0403 - 201.0403. Let k = 197 + g. What is the nearest to -1 in k, b, 2/5?
b
Let p = 383/3 + -128. Let q = 2 - 0. Which is the closest to q? (a) -3/4 (b) 0.4 (c) p
b
Let b(r) = r**3 + 2*r**2 - 2*r - 3. Let w be b(-2). Let p be (5 - (0 + 3))*(-5 + 3). What is the closest to w in p, -4/7, -3?
-4/7
Let z = -0.688 + 2.188. What is the closest to 1 in 4, 1, z?
1
Let b(l) = -3*l - 5. Let h be b(-4). Suppose 0 = 7*m - h. Let x = -43 - -41. What is the closest to x in m, -3, -0.3?
-3
Let q = 0.4 - -0.1. Let o be 9*(-2 - 9/(-3)). Suppose o = 4*l + 5. Which is the nearest to l? (a) -4/5 (b) 3 (c) q
c
Let x = 1169 + -1170. Which is the nearest to x? (a) 1/3 (b) 0.1 (c) 3 (d) -4
b
Let w = -3 + 4. Let j be -5 + -52*(-15)/160. What is the closest to w in j, -0.2, 0.1?
0.1
Let b = -5.354 + -0.646. What is the nearest to 2/3 in -1, -0.2, b, 5?
-0.2
Let r = 0.135 - 0.17. Let d = 0.035 + r. What is the closest to 8 in d, 4, 1?
4
Let p = -0.1484 - -5.1484. What is the nearest to -3 in -1/3, -3, p, -6?
-3
Let z be 2/342 - 318/(-3021). What is the closest to 3 in -2/15, -1/15, z, -0.2?
z
Let s = -315 - -320. Let v = 6.97 + -7. What is the closest to v in 0, s, 3?
0
Let o = -9 + 4. Let g be 4/(-70)*5*-3*(-35)/135. Which is the nearest to g? (a) 0.2 (b) 0 (c) o
b
Let i = 43 - 303/7. Let z(o) = o**3 + o**2 - o - 8. Let b be z(0). Let m be 0 + b/6 + 2. What is the closest to m in -5, -0.3, i?
i
Let n be (3 - 1)/(-5 + 24). Let t = 591.7 + -592. Which is the nearest to t? (a) 1 (b) n (c) 6
b
Let o = -1/20 - -3/10. What is the closest to o in 1/5, -0.3, 1/6?
1/5
Let j = -184 - -181. What is the nearest to 0.6 in j, 1/4, 2?
1/4
Let m be (-3)/57*(1 - -1). Which is the closest to -1/8? (a) -3 (b) m (c) 1/2
b
Let t = 0.6 + -1. Let d = 12 + -27. Let p = d + 14. What is the nearest to 0.1 in t, 2/5, p?
2/5
Let y = 348.1 + -348.5. Let l = 203 + -1427/7. Which is the nearest to -1/5? (a) 2 (b) y (c) l
b
Let h = -4.11 - -0.11. Let v(j) = 4*j + 22. Let d be v(-5). Let f be (-2 - 3) + (5 - d) - 1. What is the closest to 1 in f, h, 0.1?
0.1
Let t = -434 + 364.9. Let w = -70 - t. What is the nearest to w in -3, -2/15, 2?
-2/15
Let l = 19.13 + -19.63. Which is the nearest to -0.6? (a) 0.3 (b) 0.5 (c) l (d) -4
c
Let r = -697 - -693. Let z = -0.4 + -0.1. What is the nearest to r in z, -2, 0.4?
-2
Let m = -0.15 + 0.14. Let w = 0.15 + m. Let b = -0.24 + w. What is the nearest to b in -0.3, -3, 3?
-0.3
Let l = 127 + -128. Let v = -69/2 - -37. Which is the nearest to -1? (a) -0.2 (b) v (c) l
c
Let w be 7/(1*(-3 + 2)). Let s be (-1)/w*4 + -1. Let u = -9 - -9. What is the nearest to s in u, -0.3, 0.1?
-0.3
Let p(a) = -123*a + 494. Let d be p(4). What is the nearest to -3/7 in d, 4, 1/10?
1/10
Let z = -2.125 - 0.075. Let o = z + 2.3. What is the closest to o in -2/17, -3, -1/6?
-2/17
Let x = -1.41 + 1.81. Which is the nearest to -1/4? (a) -3 (b) 4 (c) x
c
Let r = -257 + 280. What is the nearest to -1 in -4, 0.2, r?
0.2
Let o = 195/4 - 60. Let r = o + 23/2. Let w = -2.1 - -2.4. What is the nearest to -0.1 in 2/9, r, w?
2/9
Let i be (2 - (-8)/(-6))*6/16. Which is the closest to i? (a) -2 (b) 0.2 (c) 1/2
b
Let m be 21/27 - 12/18. Suppose d + 18 + 4 = 4*t, 0 = -4*d - 4*t + 12. Which is the closest to 1/5? (a) 0 (b) m (c) d
b
Let f = -23 + 43/2. What is the closest to -0.1 in -64/5, f, -0.2?
-0.2
Suppose 0 = 6*h - 15*h - 36. Let s = 2.3 - 2.41. Let y = s + -0.09. Which is the nearest to 1? (a) h (b) y (c) -2
b
Let k = 1 + -1. Let d be (1/(-17))/((-1)/2). Suppose 5*f - 8 = 9*f. Which is the nearest to k? (a) -1 (b) d (c) f
b
Suppose -48*o - 68 = -65*o. What is the nearest to -2/41 in o, 2, 0.5, -2?
0.5
Let g = 292 + -154. Let z = -139 + g. What is the nearest to -1 in -0.3, -0.5, z?
z
Let o(i) be the first derivative of -5*i**2/2 + 5*i - 51. Let m be o(1). Which is the closest to m? (a) -3/7 (b) 3 (c) 0
c
Suppose -5*w = -j - 3*j - 3, -6 = 4*w + j. Let r = 107 - 106. What is the closest to r in 4, -0.1, w?
-0.1
Let d = -0.0532 + -3.8368. Let b = -0.11 + d. What is the nearest to 0 in 20, 0.2, b?
0.2
Let l(j) = -j**2 - 2*j + 10. Suppose 5 = -3*w - 7. Let t be l(w). Which is the closest to -1? (a) 0 (b) 0.2 (c) t
a
Let i = -824 - -821. What is the closest to 3/4 in i, 4, 0.2?
0.2
Let t = 11 - 3. Let u be (-4)/(-15) - t/20. Let o(q) = q**3 + 5*q**2 + 5*q - 3. Let h be o(-4). What is the closest to -1 in h, 0.1, u?
u
Let u = 0.28 - 0.08. What is the closest to -1/3 in u, -3, 0.1?
0.1
Let s = 0.409 + -0.309. What is the closest to s in 2/17, -4/13, -1?
2/17
Let t = -0.6 + 1.7. Let v = 2 - t. Let w = v + -0.5. Which is the closest to 1? (a) w (b) -8 (c) -0.1
a
Suppose 4*s - 34 = 22. Let i = 16 - s. Let x be (0 + 3)*(-5)/(-15). Which is the closest to x? (a) i (b) 5 (c) 5/2
a
Let i be (1/(-3))/((-4)/2076). Let v = i - 2247/13. Let g be 0 + -2 + (4 - 3). What is the nearest to g in v, -3, 0.03?
0.03
Let h = 255/37 + -691/111. Let u = 3 + -5. What is the closest to 5 in 0.5, u, h?
h
Let v = 0.0244 + 0.3756. What is the closest to -2 in 4/7, 0, v?
0
Let j be (4/(-15))/((-6)/(-9)). Let r = -28 + 24.2. Let s = 4 + r. Which is the closest to 1? (a) 15 (b) j (c) s
c
Let h = 588 - 555.1. Let v = 0.022 - 33.022. Let p = h + v. Which is the closest to 1/3? (a) p (b) -4 (c) 1/4
c
Let n = 688/3 - 230. What is the nearest to n in -1, 7, -0.3?
-1
Let s(g) = -g**3 - 66*g**2 - 64*g + 66. Let c be s(-65). What is the closest to 0.3 in 6, 0, 2, c?
0
Let z be (10 + -5)/(-25)*1. What is the nearest to z in 0.5, 5, -0.2?
-0.2
Let m = 1/607 - -21243/1214. Let v = m - 69/4. Let z(r) = r + 6. Let t be z(-7). What is the closest to t in v, 1, -1?
-1
Let h = -27/77 - -103/231. What is the nearest to -2/3 in h, 2, 0.4, 0?
0
Let f = -78 - -82.9. Let z = f + -0.9. Let g be 4/6 - (-2)/3. Which is the nearest to 3? (a) z (b) g (c) 0.4
a
Let l be -2 + 34/12 + -1. Let c = 7822 + -117328/15. What is the closest to 0.1 in 2, c, l?
c
Let o be 3 + (-61)/21 - (-325)/(-105). Let l = 0.3 + -0.2. Which is the nearest to l? (a) o (b) -1/3 (c) -1
b
Let j(v) = -v**2 + 3*v + 22. Let u be j(6). Let b = 0.6 + -1. Let x = -5.2 - -2.2. What is the nearest to 2 in b, x, u?
u
Let u = -13/75 + 46/1275. Let t = 1/34 - u. Which is the closest to t? (a) -0.1 (b) 0 (c) 2
b
Let i = 1.34 + -1.4. Which is the nearest to i? (a) -2 (b) -1 (c) 5 (d) 1
b
Let c = -134 + 134. What is the closest to -2/5 in -45, c, 0.3?
c
Let z = 3026.7 + -3026.8. Let d(i) = i**2 + 4*i. Let g be d(-5). Which is the closest to 0.2? (a) g (b) z (c) 3/5
b
Suppose 2*z + 2 = 4*z. Let j be (4 + -5)*3*(-4)/(-3). Let k = 3 + -2. Which is the closest to z? (a) -2/13 (b) k (c) j
b
Let o = 162.1 + -162. What is the nearest to 0 in o, 1, -0.03, 0?
0
Let f = -482 - -454. Let z = -34 - -59. Let x = z + f. Which is the nearest to 2/7? (a) -3/4 (b) x (c) 1/10
c
Let l be 81/15*1*5. Let a be ((-18)/l)/(8/6). Let s = 13 - 13. What is the nearest to a in 1/3, -2, s?
s
Let p be 2/(-4) - (-175)/10. Let m = 52/3 - p. Let n = 0.067 +
|
{
"pile_set_name": "DM Mathematics"
}
|
nd -0.0001186087 to five dps.
-0.00012
Round -12740.387 to the nearest one hundred.
-12700
Round -0.0102907 to 4 decimal places.
-0.0103
Round -0.1404231 to 2 decimal places.
-0.14
Round 0.013701937 to five decimal places.
0.0137
Round -0.018956757 to 5 dps.
-0.01896
Round 248.97952 to the nearest 10.
250
Round -0.00000116127 to 6 dps.
-0.000001
Round 0.0004369059 to four dps.
0.0004
What is -2294252 rounded to the nearest one hundred thousand?
-2300000
What is -0.0001192893 rounded to six dps?
-0.000119
Round -1926009400 to the nearest one million.
-1926000000
What is -1602.1 rounded to the nearest ten?
-1600
What is -4522.3739 rounded to the nearest 100?
-4500
Round -286087 to the nearest 10000.
-290000
Round -0.16241 to four dps.
-0.1624
Round -856.882 to the nearest one thousand.
-1000
What is 0.000000829382 rounded to 7 decimal places?
0.0000008
Round 8640690 to the nearest one thousand.
8641000
What is 0.04437099 rounded to four dps?
0.0444
Round 33521.302 to the nearest 1000.
34000
What is 0.00001853165 rounded to six dps?
0.000019
Round -0.0001174885 to 6 dps.
-0.000117
What is -0.2864005 rounded to three decimal places?
-0.286
What is 176157000 rounded to the nearest one million?
176000000
What is -0.00086014 rounded to 5 dps?
-0.00086
What is -0.00000038193 rounded to seven decimal places?
-0.0000004
What is 0.000703631 rounded to 4 decimal places?
0.0007
What is 250507900 rounded to the nearest one million?
251000000
What is 142.1492 rounded to the nearest integer?
142
Round 0.00268987 to four decimal places.
0.0027
What is 144186670 rounded to the nearest 100000?
144200000
What is -5465.639 rounded to the nearest one hundred?
-5500
What is -3948936 rounded to the nearest 1000000?
-4000000
What is -0.0000805613 rounded to six decimal places?
-0.000081
Round -0.0001424139 to five dps.
-0.00014
Round -3608248 to the nearest 100000.
-3600000
Round 0.000000816448 to seven dps.
0.0000008
What is -0.000232294 rounded to 4 dps?
-0.0002
Round -258052900 to the nearest 100000.
-258100000
Round 0.0737 to three dps.
0.074
Round -346653400 to the nearest 1000000.
-347000000
Round -8.215535 to 1 dp.
-8.2
Round 0.22017 to the nearest integer.
0
Round 114.2337 to one decimal place.
114.2
What is -197592.3 rounded to the nearest 1000?
-198000
Round 28.7186 to the nearest integer.
29
Round 17277.65 to the nearest ten.
17280
Round 0.0378321 to two decimal places.
0.04
Round 1248.42 to the nearest ten.
1250
Round -0.000501475 to 6 decimal places.
-0.000501
Round -0.14840442 to 3 decimal places.
-0.148
Round -174.249 to the nearest 100.
-200
Round -1067.566 to the nearest 10.
-1070
What is -8838140 rounded to the nearest 10000?
-8840000
Round -6.251116 to 1 decimal place.
-6.3
What is 53.2559 rounded to the nearest ten?
50
What is -0.00090672 rounded to six dps?
-0.000907
What is -0.0000530336 rounded to 6 dps?
-0.000053
What is -2.12443 rounded to one decimal place?
-2.1
Round 0.0000287596 to six decimal places.
0.000029
What is 79.72138 rounded to the nearest integer?
80
Round 0.000001681196 to 7 dps.
0.0000017
What is -8871.49 rounded to the nearest 1000?
-9000
Round -21948810 to the nearest 10000.
-21950000
Round -1607262 to the nearest ten thousand.
-1610000
Round -0.0000285622 to 7 dps.
-0.0000286
Round -68265364 to the nearest one million.
-68000000
Round 8.62213 to 1 dp.
8.6
What is -0.000010154552 rounded to 6 decimal places?
-0.00001
What is -0.000003603082 rounded to seven decimal places?
-0.0000036
Round -10013.43 to the nearest 100.
-10000
What is -281814 rounded to the nearest 100?
-281800
What is 0.00031151564 rounded to seven decimal places?
0.0003115
What is 0.8045 rounded to the nearest integer?
1
What is 38993470 rounded to the nearest one hundred thousand?
39000000
What is -0.00002765839 rounded to 7 decimal places?
-0.0000277
Round -0.000000490457 to five dps.
0
What is 781616 rounded to the nearest 1000?
782000
What is -4.440355 rounded to two decimal places?
-4.44
Round 0.001001356 to 6 decimal places.
0.001001
Round 0.093624 to 3 decimal places.
0.094
What is 5306571 rounded to the nearest 100000?
5300000
Round 14319794 to the nearest ten thousand.
14320000
Round -0.00000874925 to 6 decimal places.
-0.000009
Round 0.000001450099 to six decimal places.
0.000001
Round 11318400 to the nearest one million.
11000000
What is -514.256 rounded to 0 decimal places?
-514
What is 6908904 rounded to the nearest 1000000?
7000000
What is 1391.1103 rounded to the nearest ten?
1390
Round -1.63389 to 3 dps.
-1.634
Round -0.035097 to two dps.
-0.04
Round 0.400961 to 3 dps.
0.401
What is 2394.909 rounded to the nearest one hundred?
2400
What is 0.01201814 rounded to four dps?
0.012
What is -0.0001080752 rounded to seven dps?
-0.0001081
Round -1.766036 to two dps.
-1.77
Round -0.44620058 to three dps.
-0.446
What is -0.09204073 rounded to 2 dps?
-0.09
What is -13969130 rounded to the nearest 1000000?
-14000000
Round -0.0691382 to four decimal places.
-0.0691
Round -0.0004546783 to 4 decimal places.
-0.0005
What is -0.00805982 rounded to 4 dps?
-0.0081
Round -1136.775 to the nearest 10.
-1140
What is -1424273000 rounded to the nearest 1000000?
-1424000000
What is -1067969 rounded to the nearest ten thousand?
-1070000
Round 0.0744368 to four decimal places.
0.0744
Round -0.000003677929 to 6 decimal places.
-0.000004
Round -151483 to the nearest one thousand.
-151000
What is -42.612155 rounded to 1 decimal place?
-42.6
What is 12.233947 rounded to the nearest integer?
12
Round -588.007 to the nearest 100.
-600
Round -0.000366997 to 4 dps.
-0.0004
What is 0.0028094931 rounded to 6 decimal places?
0.002809
Round -0.364623 to two dps.
-0.36
What is -80.2765 rounded to the nearest 10?
-80
Round 177.29544 to the nearest ten.
180
What is -0.0012635884 rounded to 6 dps?
-0.001264
Round 1.20769 to two decimal places.
1.21
What is 0.0569356 rounded to four decimal places?
0.0569
Round 0.0000038093343 to 7 dps.
0.0000038
Round 0.00646816 to five decimal places.
0.00647
What is -0.003902074 rounded to 3 decimal places?
-0.004
What is -0.03001797 rounded to five dps?
-0.03002
What is -3.122047 rounded to two decimal places?
-3.12
Round 215.11688 to one dp.
215.1
Round -12618010 to the nearest 1000000.
-13000000
What is 286.965 rounded to the nearest one hundred?
300
What is -0.0005996612 rounded to 4 dps?
-0.0006
Round 903.507 to the nearest 10.
900
What is -93559400 rounded to the nearest one hundred thousand?
-93600000
Round -0.0000041905081 to 6 dps.
-0.000004
Round -2445150 to the nearest one hundred thousand.
-2400000
What is -44.8916 rounded to the nearest ten?
-40
Round -0.003823637 to 5 dps.
-0.00382
Round -752.4 to the nearest ten.
-750
Round -0.00017334 to five decimal places.
-0.00017
What is 29975.73 rounded to the nearest ten thousand?
30000
What is 2530650 rounded to the nearest 1000000?
3000000
Round -0.166964 to three dps.
-0.167
Round -0.00002043507 to 7 decimal places.
-0.0000204
What is 5.409835 rounded to one dp?
5.4
What is 13556478000 rounded to the nearest one million?
13556000000
Round -0.0000068008 to 7 dps.
-0.0000068
Round 45828560 to the nearest one million.
46000000
Round -0.000567489 to five decimal places.
-0.00057
What is -11872.06 rounded to the nearest 10?
-11870
Round 0.00000739807 to 6 decimal places.
0.000007
Round -0.29146235 to 4 dps.
-0.2915
What is 0.000201747 rounded to 4 decimal places?
0.0002
Round -59.12353 to 1 decimal place.
-59.1
Round 0.12134553 to two decimal places.
0.12
What is -54008.68 rounded to the nearest ten?
-54010
What is 0.0327279 rounded to 3 dps?
0.033
What is -18.974187 rounded to 1 decimal place?
-19
What is -1.061125 rounded to 2 dps?
-1.06
What is 1353.7 rounded to the nearest 100?
1400
Round -0.2373347 to two decimal places.
-0.24
Round 0.0002219447 to four decimal places.
0.0002
What is -0.000005611048 rounded to six decimal places?
-0.000006
What is -0.24519111 rounded to two decimal places?
-0.25
Round -0.0119707 to 3 dps.
-0.012
What is 0.0070824795 rounded to 6 dps?
0.007082
Round -3.7173553 to 3 decimal places.
-3.717
What is 7947.163 rounded to the nearest 10?
7950
Round -0.0903706 to four dps.
-0.0904
What is 0.00007251477 rounded to five decimal places?
0.00007
What is -0.00150154 r
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when k is divided by 3.
0
Suppose -5*h - 5*s = 31 + 9, 0 = -4*h + 5*s - 41. Let p = h - -24. What is the remainder when p is divided by 6?
3
Suppose -2*n - 4*c = -158, 2*c = 9*n - 11*n + 150. What is the remainder when n is divided by 13?
6
Suppose 3*v = 462 + 759. Suppose 5*i = -20, 3*n + 3*i = -i + v. What is the remainder when n is divided by 36?
33
Let g(w) = w + 3*w + w**3 - 5*w + 4*w**2 - 3. Calculate the remainder when g(-3) is divided by 3.
0
Suppose 4*y - 170 = -2*s, 2*y - 4*s = 10 + 60. Calculate the remainder when 108 is divided by y.
26
Let m(a) = -9*a - 10. Let f = -64 + 132. Let b = 105 - f. Calculate the remainder when m(-9) is divided by b.
34
Suppose 5*s = s - 104. Let d = s + 27. What is the remainder when 7/d + 1 + -3 is divided by 2?
1
Let w(k) = k**2 - 13*k + 9. Let u be w(9). Let o = u + 69. Suppose 2 = -4*a + h + 64, -5*h = -a + 25. Calculate the remainder when o is divided by a.
12
Suppose 5*f - 15 = -g - 4*g, -2*g = -f + 12. Calculate the remainder when 48/9 - 6 - (-250)/f is divided by 11.
8
Let m(y) = -15*y - 28. Let t(q) = 7*q + 14. Let p(u) = 6*m(u) + 13*t(u). Calculate the remainder when p(23) is divided by 11.
4
Suppose 137 = 16*r + 58 - 129. Calculate the remainder when (-22)/4*(-5 - 1) is divided by r.
7
Suppose 7*c - 5*c - 10 = 0. Suppose -4*l + l = -4*b + 98, -c*b - 4*l = -107. Calculate the remainder when 44 is divided by b.
21
Let p be (15/(-4))/(9/6)*-2. Suppose 2*x = 3 + p, 32 = f - x. Calculate the remainder when 177 is divided by f.
33
Let p = 22 - 14. Calculate the remainder when 18*1 + 8 + -11 is divided by p.
7
Suppose 4*x = 151 - 7. Let g(s) = 2*s**2 - 21*s + 98. Calculate the remainder when g(9) is divided by x.
35
Suppose 0 = a + 4*a - 95. Suppose 3*o - 172 + 145 = 0. Calculate the remainder when a is divided by o.
1
Let k(t) = -6*t**2 + 28*t + 20. Let z = -33 - -51. Calculate the remainder when z is divided by k(5).
8
Suppose -218 - 78 = -8*k. Let x = -23 + k. What is the remainder when 24 is divided by x?
10
Let c = -11 - -87. Suppose 0 = 2*h - z - c, -3*h = -5*z + z - 109. What is the remainder when h is divided by 20?
19
Suppose 0 = 5*n - y - 1068, 634 = 29*n - 26*n - 4*y. Calculate the remainder when n is divided by 24.
22
Let r(x) = -x**3 - 8*x**2 - 10*x + 14. Let m be r(-6). Suppose 25 = -5*f, 0*f + m*f = -s - 8. What is the remainder when s is divided by 1?
0
Let s be 752/(-8) + -1 + 0. What is the remainder when ((-4)/5)/(2/s) is divided by (-1351)/(-105) + 2/15?
12
Let x(k) = 2*k**2 + 11*k - 3. Let i(z) = z**3 + 11*z**2 + 2*z + 11. Let p be i(-11). Calculate the remainder when x(p) is divided by 30.
28
Suppose 0 = 48*p - 496 - 13616. What is the remainder when p is divided by 4?
2
Suppose 3*i + 8*t - 16 = 4*t, -5*i + 45 = 3*t. What is the remainder when 165 is divided by i?
9
What is the remainder when 296 is divided by 2*(7/1 - -31)?
68
Let k = 3 + -1. Suppose -k*t = -0*t + 3*v - 17, -2*v = 5*t - 59. Let l = 29 - 5. What is the remainder when l is divided by t?
11
Let r(n) = -n + 8. Let v be r(4). Suppose -v - 14 = c. Calculate the remainder when 25 is divided by 4/(-6)*c - -2.
11
Let u = -277 + 309. What is the remainder when 69 is divided by u?
5
Let o be (19*(-7 - -6))/((-2)/4). Let j = 54 - o. What is the remainder when 28 is divided by j?
12
Suppose 0 = -8*c + 2*c + 60. Let u(d) = d**2 + 6*d + 10. What is the remainder when u(-8) is divided by c?
6
Suppose 4*o - 69 = -5*q, 2*o - 39*q - 2 = -35*q. Calculate the remainder when 217 is divided by o.
8
Suppose -l = -2*y - 17, -11*l - 61 = -15*l + y. Suppose 4*i - i - 177 = 0. Calculate the remainder when i is divided by l.
14
What is the remainder when (0 - -1)/(-7 + (-2328)/(-332)) is divided by 36?
11
Let r = -18 + 20. Suppose -5*w + 37 = r. Let l = 9 + 9. Calculate the remainder when l is divided by w.
4
Suppose 5*k + 23*y = 26*y + 226, 3*k - 4*y - 140 = 0. What is the remainder when 115 is divided by k?
27
Let b be ((-21)/(-14))/((-6)/(-4)). Let o(v) = 15*v**2 - 2*v + 2. What is the remainder when 73 is divided by o(b)?
13
Suppose -5*w + 5*x + 2 = -18, 0 = -2*w - 5*x + 29. Suppose -5*l + 0*l + 150 = 0. What is the remainder when l is divided by w?
2
Calculate the remainder when 201 is divided by (120 + -121)/((-2)/394).
4
Suppose -2*l - 2 = -2*t - 0*t, 3*l - 5*t + 7 = 0. Suppose -4*u + 295 = -l. Calculate the remainder when u is divided by 15.
14
Suppose 8*v - 315 = v. Let w be 9/(-36) - 98/(-8). Suppose -h + 12 = k, -k = 2*k + w. Calculate the remainder when v is divided by h.
13
Suppose -3480 = -10*u - 0*u. Calculate the remainder when u is divided by 88.
84
Suppose -8 = -2*a + 12. Let h(o) = 9*o + 3. Calculate the remainder when h(a) is divided by 12.
9
Calculate the remainder when (-14300)/(-88) - (-3)/2 is divided by 7.
3
Let v(i) = 7*i + 4*i**3 - 4*i**2 + 6 - 9*i + 3*i. Calculate the remainder when v(3) is divided by 12.
9
Let t(w) = -w. Let o be t(-5). Suppose -2*g + 9 = 5*b, -4*b - 4 = -o*g + 2. Suppose 0*u = -g*u + 98. What is the remainder when u is divided by 13?
10
Suppose 8*b - 14*b = -48. What is the remainder when 17 is divided by b?
1
Let b = -2 + 144. Calculate the remainder when b is divided by 36.
34
Calculate the remainder when 23 is divided by (-175)/(-25) + 4/2 + 3.
11
Let v(w) = w + 20. Let y(k) = -19. Let l(m) = 4*v(m) + 5*y(m). Calculate the remainder when l(15) is divided by 12.
9
Suppose 0 = -0*b + 3*b. Suppose h + 2*h - 4*d = 31, b = -5*d + 25. Calculate the remainder when 33 is divided by h.
16
Suppose 39*q - 1158 = 1845. Let b = 32 + -22. Calculate the remainder when q is divided by b.
7
Suppose 6*a = -a + 301. Suppose -d + 4*d = -3. What is the remainder when a is divided by 1/(2 + d) + 14?
13
Let r = 119 + -59. Let m be (-3)/(-5) + 1824/r. Let o = -8 + m. Calculate the remainder when o is divided by 8.
7
Let h = 409 - 393. Calculate the remainder when h is divided by ((-12)/(-10))/((-4)/(-30)).
7
Suppose 44*g = 5*g + 3588. Calculate the remainder when g is divided by 34.
24
Let g be (-4 + 2 - -41) + 1. Suppose -w - 3*n + 8 = 0, -5*w + 2*n + 54 = 14. Suppose 13*j - g = w*j. Calculate the remainder when j is divided by 2.
0
Suppose 3*c = 2*o + 14, o = -2*c + 4*c - 11. Suppose -y - 57 = -77. Suppose -23*v + 19*v = -y. What is the remainder when c is divided by v?
3
Let w(s) = 2*s - 1 - 5*s + s - s. What is the remainder when (-608)/(-28) - (-4)/14 is divided by w(-3)?
6
Let h(u) = u**3 + 21*u**2 + 45*u + 20. Calculate the remainder when h(-18) is divided by 23.
21
Suppose -25 = -3*b + d, 4 = 2*b + 2*d - 2. Suppose -b*w + 10*w = 36. Calculate the remainder when 47 is divided by w.
11
Let d(z) = -2*z + 8. Suppose 4*q - 2 = -0*c + 2*c, -5*q - 2*c - 20 = 0. Let o be d(q). Suppose 15*i = o*i + 42. Calculate the remainder when i is divided by 6.
2
Suppose -3*d + 231 = -j, 6 + 3 = 3*j. What is the remainder when 232 is divided by d?
76
Suppose -3*t - 6 = -2*c, 3*c + 2*t = -c + 28. Let l be (-20)/15*c/(-4). Suppose p - l*p = -4. Calculate the remainder when 13 is divided by p.
1
Suppose 0 = s + 54 - 142. Suppose 0 = b - 52 + 6. Calculate the remainder when s is divided by b.
42
Suppose -25*t + 6*t + 190 = 0. What is the remainder when 27 is divided by t?
7
Suppose -66*m + 6545 - 979 = 55*m. Suppose 0 = 3*r, 3*r = -t - 4*t + 50. What is the remainder when m is divided by t?
6
Let b = 281 + -105. Calculate the remainder when b is divided by 91.
85
Let c = -932 - -1205. Calculate the remainder when c is divided by 58.
41
Let k be 3/2*(-30)/9. Let a = k + 27. Let y = 76 - a. What is the remainder when y is divided by 28?
26
Let g(q) = -2*q**2 - 16*q + 9. Let y be g(-8). Suppose 90 = y*n - 18. Calculate the remainder when n is divided by 4.
0
What is the remainder when 95 is divided by 32 + 105/75 + 15/25?
27
Suppose 2*p = s + 139, p + 3*s = -4*p + 320. Let i = 88 - p. What is the remainder when 39 is divided by i?
18
Let w = -305 - -398. Calculate the remainder when w is divided by 12.
9
Let n be (1/(-3))/((-1)/21). Suppose 0 = r + n + 3. Let c = 29 + r. What is the remainder when 54 is divided by c?
16
Suppose 21 + 27 = 2*z. Suppose -3*b = -z*b + 1113. Calculate the remainder when b is divided by 5.
3
Calculate the remainder when 52 - (8 + 5/(-5)) is divided by 8.
5
Suppose -48 = -0*l - 4*l + 5*n
|
{
"pile_set_name": "DM Mathematics"
}
|
-4/3*o - 2/3*o**2 - 2/3 = 0.
-1
Let w(d) = -10*d**4 - 20*d**3 + 14. Let h(b) = 2*b**4 + 4*b**3 - 3. Let f(q) = -14*h(q) - 3*w(q). Factor f(x).
2*x**3*(x + 2)
Let b(y) be the second derivative of 1/480*y**6 + 0*y**5 - y + 0 + 1/840*y**7 + 0*y**3 + y**2 + 0*y**4. Let a(f) be the first derivative of b(f). Factor a(h).
h**3*(h + 1)/4
Factor 4/3 + 2/3*n**3 - 2*n + 0*n**2.
2*(n - 1)**2*(n + 2)/3
Let o(f) be the second derivative of f**6/540 + f**5/135 + f**4/108 + f**2 + f. Let d(i) be the first derivative of o(i). Determine r so that d(r) = 0.
-1, 0
Factor 14/13*t**4 + 38/13*t**3 - 4/13 + 30/13*t**2 + 2/13*t.
2*(t + 1)**3*(7*t - 2)/13
Let x(n) be the first derivative of n**5/25 - 3*n**4/20 + n**3/15 + 3*n**2/10 - 2*n/5 + 1. Determine z so that x(z) = 0.
-1, 1, 2
Let r = -53/11 - -5. Determine f so that -r - 4/11*f - 2/11*f**2 = 0.
-1
Factor -1/2 - 2*y - 3/2*y**2.
-(y + 1)*(3*y + 1)/2
Find g such that -133*g**2 + 105*g**3 - 2*g**2 - 292*g + 12*g - 60 - 80*g**2 = 0.
-2/3, -2/7, 3
Let t = -113/5 + 117/5. Factor 0 - 2/5*z**5 + 6/5*z**4 + 0*z**2 + 0*z - t*z**3.
-2*z**3*(z - 2)*(z - 1)/5
Let c(l) be the first derivative of l**8/2520 + l**7/630 + l**6/540 + 2*l**3/3 - 4. Let b(f) be the third derivative of c(f). Determine d, given that b(d) = 0.
-1, 0
Factor -3/2*p + 3/8*p**4 + 9/8*p**2 + 3/2*p**3 - 3/2.
3*(p - 1)*(p + 1)*(p + 2)**2/8
Let u = -19 + 28. Let y be u/(-36) + 26/8. Suppose -1/4*n**y - 3/4*n**2 - 3/4*n - 1/4 = 0. Calculate n.
-1
Suppose 5*r = -3*h + 31, -r = h - 4*r + 13. Suppose 1 = h*o - 5. Factor 6*i**3 + i**4 - 3*i**2 - i**4 - o*i**5 - 3*i**3 + 3*i**4.
-3*i**2*(i - 1)**2*(i + 1)
Let y(w) be the first derivative of -1/4*w**4 - 1/3*w**3 + 5 + w + 1/2*w**2. Solve y(v) = 0 for v.
-1, 1
Suppose -8*y = -5*y - 5*k + 3, 3*k - 17 = -2*y. Factor -9/4*u - 7/2*u**3 - 3/2*u**y - 4*u**2 - 1/4*u**5 - 1/2.
-(u + 1)**4*(u + 2)/4
Let n(s) = 3*s**2 - 2*s + 48. Let r(f) = -f**2 - 16. Let c(l) = 4*n(l) + 11*r(l). Solve c(i) = 0 for i.
4
Let d(j) = 8*j**2 + 68*j. Let a(y) = 3*y**2 + 27*y. Let v(i) = -12*a(i) + 5*d(i). Factor v(t).
4*t*(t + 4)
Let b(a) be the second derivative of a**9/37800 - a**8/4200 + a**7/1575 - a**4/4 - 3*a. Let z(q) be the third derivative of b(q). Factor z(j).
2*j**2*(j - 2)**2/5
Let b(y) = y**3 - 8*y**2 - 3*y + 10. Let l be b(8). Let q be l/(-6) - 3/9. Suppose -20*d - 3 - 7*d**3 - 2 - 3 + 30*d**q - 4*d**2 = 0. Calculate d.
-2/7, 2
Let n = -2 + 4. Let t(r) = r**2 - 7*r + 9. Let y be t(6). Determine u, given that -1 + y + 0*u + 2*u**n - 3*u - u = 0.
1
Let v(d) be the second derivative of -6*d + 0*d**4 + 1/2*d**2 + 1/3*d**3 - 1/30*d**6 + 0 - 1/10*d**5. Factor v(l).
-(l - 1)*(l + 1)**3
Suppose 3*o - 4*o = -13. What is l in 12*l**3 + 11*l + o*l + 0*l**3 - 2*l**4 - 26*l**2 - 8 = 0?
1, 2
Let r(u) be the first derivative of u**5/5 - 13*u**4/20 + 3*u**3/5 + u**2/10 - 2*u/5 - 3. Factor r(f).
(f - 1)**3*(5*f + 2)/5
Suppose -51 = y - 53. Let m(f) be the second derivative of -1/6*f**4 - 1/16*f**5 + 0 + 1/6*f**3 - 3*f + 0*f**y. Factor m(l).
-l*(l + 2)*(5*l - 2)/4
Let b(l) = l**2 + 8*l + 4. Let o be b(-8). Factor 2*j**4 + 2*j**3 + 0*j**o + 3 - 3.
2*j**3*(j + 1)
Suppose -68*q = -64*q. Let h(w) be the third derivative of q*w**4 - 1/60*w**6 - 1/30*w**5 + 4*w**2 + 0 + 0*w + 0*w**3. Factor h(y).
-2*y**2*(y + 1)
Let v(a) be the second derivative of 1/20*a**5 - 1/6*a**3 + 0 - 1/12*a**4 + 3*a + 1/2*a**2. Let v(m) = 0. Calculate m.
-1, 1
Let b(r) be the first derivative of 5*r**6/6 + r**5 - 5*r**4/2 - 10*r**3/3 + 5*r**2/2 + 5*r + 21. Determine s, given that b(s) = 0.
-1, 1
Let x(q) be the first derivative of 2/3*q - 5/9*q**3 - 1/2*q**2 - 1. Suppose x(u) = 0. What is u?
-1, 2/5
Factor -50 + 48 - 6*y**2 - 2*y**3 + 4*y**3 + 6*y.
2*(y - 1)**3
Let l(k) be the second derivative of k**7/1680 + k**6/160 + k**5/40 + k**4/24 + k**3/2 + 4*k. Let h(x) be the second derivative of l(x). Solve h(f) = 0 for f.
-2, -1/2
Let w(s) be the first derivative of s**8/2520 - s**7/630 + s**6/540 + s**3 + 1. Let c(j) be the third derivative of w(j). Find z such that c(z) = 0.
0, 1
Let t(o) be the second derivative of -1/42*o**3 + 0 - 1/140*o**5 - 3*o - 1/42*o**4 + 0*o**2. Determine g so that t(g) = 0.
-1, 0
Factor -3*h**3 + 0*h + 0*h**2 + 0 + 21/2*h**4.
3*h**3*(7*h - 2)/2
Suppose 0 = 5*i - 6 - 14. Determine b so that -i*b**4 - 3*b**5 - 4*b**2 + 2*b**3 - 4*b - 8*b**3 + 2*b**5 + 3*b = 0.
-1, 0
Determine b so that 1011*b + 11*b**3 - 4*b**5 - 1018*b + 4*b**4 + 2*b**2 - 2 - 4*b**2 = 0.
-1, -1/2, 1, 2
Let n = 27333/1910 - 143/10. Let f = n - -183/764. Let 0*j + 1/4*j**2 - f = 0. Calculate j.
-1, 1
Let n(r) be the third derivative of r**8/112 + r**7/70 - r**6/20 - 6*r**2. Solve n(z) = 0.
-2, 0, 1
Let z(a) be the first derivative of a**7/525 - a**6/100 + a**5/150 + a**4/20 - 2*a**3/15 - a**2/2 - 2. Let l(i) be the second derivative of z(i). Factor l(j).
2*(j - 2)*(j - 1)**2*(j + 1)/5
Let s(c) be the third derivative of c**8/6720 - c**7/1680 + c**6/1440 - c**3/3 + c**2. Let a(q) be the first derivative of s(q). Factor a(b).
b**2*(b - 1)**2/4
Let x be 76/18 + (-40)/10. Factor -x*z**2 + 2/9*z + 4/9.
-2*(z - 2)*(z + 1)/9
Let o(w) = -7*w**3 + 3*w**2 + 15*w + 15. Let z be 2/2 - -1*5. Let b(q) = -7*q + 2 + 0*q**3 - q**2 + 3*q**3 - 9. Let p(t) = z*o(t) + 13*b(t). Factor p(d).
-(d - 1)**2*(3*d + 1)
Let i = 2877898/2775 - 25793/25. Let b = i + -1/37. Factor s**3 + 4/3 + b*s + 13/3*s**2.
(s + 2)**2*(3*s + 1)/3
Let w(f) be the second derivative of 2*f**6/15 + 4*f**5/5 + 5*f**4/3 + 4*f**3/3 + 7*f. Factor w(y).
4*y*(y + 1)**2*(y + 2)
Let s(a) = a**2 - 5. Let y be s(3). Solve 0*i**5 + i**5 - 3*i + 2*i**5 - 5*i**y + 6*i**2 - i**4 = 0.
-1, 0, 1
Let j = -45 - -45. Solve -3/2*o**2 - 3/4*o + j - 3/4*o**3 = 0.
-1, 0
Let g = 2/55 - -139/715. Let p = g + 17/39. Solve 1/3*q**2 + 0*q + 0 + 1/3*q**4 - p*q**3 = 0 for q.
0, 1
Let q(z) = -z**2 + 1. Let i(k) = 2 + 0 + 2*k**3 + 2. Let n(c) = i(c) - 4*q(c). Let n(g) = 0. What is g?
-2, 0
Let c = -320/41 + 4921/205. Solve 6/5 + 21/5*y**4 - 39/5*y - 69/5*y**3 + c*y**2 = 0 for y.
2/7, 1
Suppose 0 = -23*z - 13 + 82. Suppose 1/3*l + 2/3 - 1/3*l**z - 2/3*l**2 = 0. What is l?
-2, -1, 1
Let t(h) be the third derivative of -h**9/90720 - h**5/60 + h**2. Let o(g) be the third derivative of t(g). What is l in o(l) = 0?
0
Factor 1/2*h**2 + 0*h - 1/2.
(h - 1)*(h + 1)/2
Let h = 3 + -3. Suppose -3*x = -5*c + 6, -3*x - 6 = 3*c - h*c. Factor 2/3*s + 0 + c*s**2 - 2/3*s**3.
-2*s*(s - 1)*(s + 1)/3
Let q(d) = -18*d**2 - 6*d + 15. Let k(n) = n**2 - 1. Let g(m) = 15*k(m) + q(m). Solve g(c) = 0 for c.
-2, 0
Let n(y) = 3*y**2 - y**3 - 5*y**2 + 2*y**2. Let s be n(0). Factor 2/3*k + 2/3*k**2 + s.
2*k*(k + 1)/3
Let v(s) = s**3 - 8*s**2 + 7*s. Let p be v(7). Let u(f) be the first derivative of 2/9*f**3 + p*f + 2 - 1/6*f**4 + 0*f**2. Factor u(m).
-2*m**2*(m - 1)/3
Let c be -1 + 4/(120/78). Determine d so that c*d**2 + 0 - 18/5*d**4 - 8/5*d + 18/5*d**3 = 0.
-2/3, 0, 2/3, 1
Let f(l) be the second derivative of 3*l**5/80 - l**3/8 + 6*l. Determine a so that f(a) = 0.
-1, 0, 1
Let n(r) be the third derivative of -r**5/80 + r**4/16 - r**3/8 + 9*r**2. Factor n(v).
-3*(v - 1)**2/4
Suppose 36*f = 56*f. Let x = 0 - 0. Determine v so that 1/4*v**2 + f + x*v = 0.
0
Let n be 2/(3 - -3)*6. Find r such that -4*r**3 + 0 + 2*r**4 + 0 + 4*r**n - 3*r**3 + 4*r = 0.
-1/2, 0, 2
Let j(o) be the first derivative of -2*o**2 + 3/4*o**4 + 4/3*o**3 - 1/6*o**6 + 0*o - 2/5*o**5 + 3. Factor j(v).
-v*(v - 1)**2*(v + 2)**2
Let k = 47/66 + -6/11. Let c(b) be the third derivative of 0 + k*b**3 + 1/60*b**5 + 0*b + 1/12*b**4 - 3*b**2. What is d in c(d) = 0?
-1
Let c(b) = -b**3 + 5 - 3 - 11*b**2 + 5*b**2. Let u be c(-6). Factor -3*x**2 + 3*x**3 + 3*x - 1 - u*x**3 + 0*x**2.
(x - 1)**3
Let z(p) = -10*p**2 + 33*p - 2. Let h(q) = 9*q**2 - 33*q + 3. Let b(l) = -6*h(l) - 5*z(l). Suppose b(x) = 0. Calculate x.
1/4, 8
Let y(d) be the second derivative of 0*d**2 + 0 + 2*d + 1/6*d**4 - 1/3*d**3. Determine r so that y(r) = 0.
0, 1
Let x(p) = -3*p**3 - 2*p**2 + 3*p + 2. Let z be x(-2). Suppose z = 2*i + i. Find v, given that 2/11*v**5 - 4/11 + 6/11*v + 0*v**i - 8/11*v**3 + 4/11*v**2 = 0.
-2, -1, 1
Let g(u) = 3*u**4 - 10*u**3 - 5*u**2 + 10*u - 2. Let x(v) = 2*v**4 - 10*v**3 - 5*v**2 + 10*v - 3. Let q(p) = 3*g(p) - 2*x(p). Solve q(s) = 0.
-1, 0, 1, 2
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
- 455*m**2 - 2 + 2.
-815*m**2
Collect the terms in -375995*h + 188000*h + 187997*h.
2*h
Collect the terms in 4611*y - 9222*y - 2*y**2 + 4611*y.
-2*y**2
Collect the terms in 4*g**2 + 28*g**2 + 10*g**3 - 59*g**2 + 27*g**2.
10*g**3
Collect the terms in -3012*m + 1 - 1 - 21.
-3012*m - 21
Collect the terms in -107*f - 51*f - 136*f + 18*f - 45*f.
-321*f
Collect the terms in b**3 + 2*b - 56*b**2 + 4*b - 16*b.
b**3 - 56*b**2 - 10*b
Collect the terms in -3 - 516*c + 404*c + 233*c + 3.
121*c
Collect the terms in -38*s + 35*s - 29*s + 8*s + 22*s.
-2*s
Collect the terms in -4 + 7 - 2 - 15*w + 6*w**3.
6*w**3 - 15*w + 1
Collect the terms in -3*h**3 + 48524 + 11*h**3 - 11*h**3 - 48524.
-3*h**3
Collect the terms in -8 + 32281*w + 8.
32281*w
Collect the terms in -11*k + 13*k + 56627 - 113249 + 56622.
2*k
Collect the terms in -109*s**3 - 101*s**3 + 1183*s + 212*s**3.
2*s**3 + 1183*s
Collect the terms in 129 + u + 1295 + 4*u - 3*u + 730.
2*u + 2154
Collect the terms in -2*w**2 - 13 + 13*w**3 - 10*w**2 - 22 + 35 - 16*w**3.
-3*w**3 - 12*w**2
Collect the terms in -1481 + 2241*z + 1481.
2241*z
Collect the terms in -104*l**2 - 12*l**2 - 52*l**2 - 69*l**2 - 83*l**2.
-320*l**2
Collect the terms in -167*n**2 - 2 - 7 + 332*n**2 + 3 - 163*n**2.
2*n**2 - 6
Collect the terms in 14391030314*q**2 - 14391030314*q**2 + 3*q**3.
3*q**3
Collect the terms in -30520*i + 17*i**3 + 30522*i - 4*i**3.
13*i**3 + 2*i
Collect the terms in 2*z**3 - 5 - 7 + 12 - z**2 - 19*z**2.
2*z**3 - 20*z**2
Collect the terms in -5*q**3 - 635529*q + 635529*q.
-5*q**3
Collect the terms in 1364*h - 257*h - 1111*h.
-4*h
Collect the terms in 5*n**2 - 17694 - 4*n**2 + 17694.
n**2
Collect the terms in 330 + 59*u**3 + 161*u**3 + 34*u**3 - 330.
254*u**3
Collect the terms in -11*f + 0*f**2 - f**2 + 0*f**2 - 441*f - 10 + 8.
-f**2 - 452*f - 2
Collect the terms in -3 - 4*q + 4 - 8*q + 8*q.
-4*q + 1
Collect the terms in -13*h**2 + 44*h + 18*h - 37*h**2 - 59*h.
-50*h**2 + 3*h
Collect the terms in -14 + 7*b**2 - 13 + 0*b**2 + 10 + 19.
7*b**2 + 2
Collect the terms in -7*y + 3003 - 1549 - 1454.
-7*y
Collect the terms in -51 - 433 + 105*s**3 + 484.
105*s**3
Collect the terms in -37*w**2 - 34*w**2 + 36 + 76*w**2 + 24.
5*w**2 + 60
Collect the terms in -82*p**3 - 24*p**3 + 20*p - 10*p - 10*p.
-106*p**3
Collect the terms in -47*z**3 - 37*z**3 + 20*z**3 - 49*z**3 - 11*z**2 + 11*z**2.
-113*z**3
Collect the terms in -4*o + 5 - 68 + 27 + 29.
-4*o - 7
Collect the terms in -y**2 - 798*y + 10 - 34 + 7 + 15.
-y**2 - 798*y - 2
Collect the terms in 0*a + 5739*a**2 - 2869*a**2 + 10*a - 2875*a**2.
-5*a**2 + 10*a
Collect the terms in -11031*f**2 - 1685*f**2 - 4089*f**2.
-16805*f**2
Collect the terms in 84*m + 91*m - 27*m - 2.
148*m - 2
Collect the terms in -19*x + 4669 + 57*x - 4669.
38*x
Collect the terms in -8*z - 4*z - 6*z + z + 9 + 8*z.
-9*z + 9
Collect the terms in -35 - 61 + 150 - 56 + b.
b - 2
Collect the terms in -176*z**3 - 866*z**3 - 33*z + 33*z.
-1042*z**3
Collect the terms in r - 1606 + 1606.
r
Collect the terms in -24*b + b**2 + 11 + 5 + 27*b - 3*b.
b**2 + 16
Collect the terms in 4*d**3 + 0*d**2 + 3*d**3 + 0*d**2.
7*d**3
Collect the terms in -604*q**2 + 599*q**2 + 6*q - 17*q + 11*q.
-5*q**2
Collect the terms in 8 + 0*j**3 + j**3 + 204*j - 2*j**3 - 8.
-j**3 + 204*j
Collect the terms in 6*o**3 - 3499183*o**2 + 3499183*o**2.
6*o**3
Collect the terms in -17*i**2 - 308831*i + 308831*i.
-17*i**2
Collect the terms in 9241*h + 1491 - 1491.
9241*h
Collect the terms in 150433 - 150433 + 2*y.
2*y
Collect the terms in -206*f + 48002*f**2 - 47993*f**2 + 206*f.
9*f**2
Collect the terms in -10*z**2 + 2 - 9 + 4*z + 7.
-10*z**2 + 4*z
Collect the terms in -5 - 10 - 11 + 25*c + 28.
25*c + 2
Collect the terms in 6522*n**2 + 1239*n**2 + 2335*n**2 - 1429*n**2.
8667*n**2
Collect the terms in -24983*z**3 - 6 - 7 + 13.
-24983*z**3
Collect the terms in 231*b - 154*b + 62*b - b**2 + 281*b.
-b**2 + 420*b
Collect the terms in 157*b - 44*b + 9*b**2 - 28*b - 85*b.
9*b**2
Collect the terms in -209585 + 9*i + 104779 + 104806.
9*i
Collect the terms in -31*w**2 - 3 + 16*w**2 - 42*w**2 + 3.
-57*w**2
Collect the terms in -9*h - 15*h + 17*h.
-7*h
Collect the terms in -30*k**3 - 39*k**3 - 7*k**3 - 12*k**3 - 13*k**3.
-101*k**3
Collect the terms in -2033*c**2 + 1017*c**2 + 37 + 1018*c**2.
2*c**2 + 37
Collect the terms in -5*h**2 + 28*h**2 - 11*h**2 - 8*h**2 - 7*h**2.
-3*h**2
Collect the terms in i**2 - 620665709891 + 620665709891.
i**2
Collect the terms in 7*q - 17*q - 7*q - 11*q + 55*q.
27*q
Collect the terms in -12 - 44*u + 12 + 22*u + 43*u.
21*u
Collect the terms in -49*l - 52*l + 3*l**2 - l**2 - 6*l**2 + 79*l.
-4*l**2 - 22*l
Collect the terms in 892*t**3 + 3 - 4*t**2 - 1773*t**3 + 3*t**2 + 889*t**3.
8*t**3 - t**2 + 3
Collect the terms in -369*f - 604*f + 108*f - 240*f.
-1105*f
Collect the terms in 27667*q**2 - 13838*q**2 - 13838*q**2.
-9*q**2
Collect the terms in -235*w**3 - 221*w**3 - 216*w**3 - 211*w**3 + 881*w**3.
-2*w**3
Collect the terms in -907*f + 733*f**2 + 907*f.
733*f**2
Collect the terms in -416 + 15*m**2 - 15*m**2 + 416 + 5*m**3 + 4*m**3.
9*m**3
Collect the terms in -256*h - 231*h - 130*h + 611*h.
-6*h
Collect the terms in -90*w**2 - 18*w**2 - 22*w**2 + 127*w**2.
-3*w**2
Collect the terms in 5284 - 5284 + 278*m.
278*m
Collect the terms in -420 - 52*c**2 + 420 + 44*c**2.
-8*c**2
Collect the terms in 2717*c**2 + 6*c**3 + 2677*c**2 - 5394*c**2.
6*c**3
Collect the terms in -12*r + 115 + 112 - 228.
-12*r - 1
Collect the terms in 674*o**2 + 673*o**2 - 2017*o**2 + 673*o**2.
3*o**2
Collect the terms in -219*t + 188*t + 29*t.
-2*t
Collect the terms in -133 - 602 - 435 + 70 + 2*h**2.
2*h**2 - 1100
Collect the terms in 710 + 2*k**3 + 1197 - 1907.
2*k**3
Collect the terms in 6 + 4 - 260*k + 303*k.
43*k + 10
Collect the terms in 16*q - 13*q - 22*q - 2*q**2 - q**2.
-3*q**2 - 19*q
Collect the terms in -21*a**3 + 34*a**3 + 0*a + 7*a - 7*a.
13*a**3
Collect the terms in -411069 - 202*a**2 + 411069.
-202*a**2
Collect the terms in 122*y + 120*y + 113*y - 508*y + 155*y.
2*y
Collect the terms in 7*n**2 + 18*n**2 - 8 - 41*n**2 + 7*n**2.
-9*n**2 - 8
Collect the terms in 308 - 95 + 6*j**2 - 105 - 107.
6*j**2 + 1
Collect the terms in 3 + z + 325*z**2 + 1 + z**3 - 4.
z**3 + 325*z**2 + z
Collect the terms in -3221*d**2 + 105 + 3221*d**2 - 2*d**3.
-2*d**3 + 105
Collect the terms in 28*c - 4894*c**3 + 4914*c**3 - 28*c.
20*c**3
Collect the terms in 9*z**2 - 5*z**2 + 10*z**2 + 8*z**2 - 8*z**2.
14*z**2
Collect the terms in -9*p - 13300*p**2 - 13*p + 22*p.
-13300*p**2
Collect the terms in -16*u - 14*u - 10*u + 24*u - 4*u.
-20*u
Collect the terms in 5*p**2 - 306 + 4*p + 306 - 11*p.
5*p**2 - 7*p
Collect the terms in -44*k**3 + 82*k**3 + 63*k**3 + 69*k**3.
170*k**3
Collect the terms in -11*i + 34*i - 11*i - 12*i + 40*i**2.
40*i**2
Collect the terms in -7753*f + 3878*f + 3430*f.
-445*f
Collect the terms in 14*b + 11*b - 2 + 0 - 3*b.
22*b - 2
Collect the terms in 4*f - 5*f**3 - 109*f**3 - 4*f.
-114*f**3
Collect the terms in 40 - 107 + 19*s + 67.
19*s
Collect the terms in -155 + 80 + 75 + 5*p.
5*p
Collect the terms in -41*u**2 + 37*u**2 - 10*u**3 + 35274 - 35274.
-10*u**3 - 4*u**2
Collect the terms in 32*c**2 - 52*c**2 + 231*c**2 - 4*c - 238 + 244.
211*c**2 - 4*c + 6
Collect the terms in -4*v**3 + 2*v**3 - 190 - 161 - 5.
-2*v**3 - 356
Collect the terms in -5*i**2 - 10*i**3 + 26*i**3 + 5*i**2 - 12*i**3.
4*i**3
Collect the terms in 0 + 5*o + 0 + 2 - 8*o - 540*o**2.
-540*o**2 - 3*o + 2
Collect the terms in 49*c + 11*c + 10*c.
70*c
Collect the terms in 9*a + 30062 - 30062.
9*a
Collect the terms in 121*b**3 + 105*b**3 - 123 - 230*b**3 + 123.
-4*b**3
Collect the terms in -114*t - 247*t**2 + 114*t.
-247*t**2
Collect the terms in 7*w - 539 + 39*w + 545.
46*w + 6
Collect the terms in 70536 - 14*t**2 - 70533 - 6*t**2.
-20*t**2 + 3
Collect the terms in -101*x + 6*x**2 + 8*x**2 - 19*x**2 + 101*x.
-5*x**2
Collect the terms in -322208 - 17*w**3 + 322208.
-17*w**3
Collect the terms in 74831 + 37*i**2 - 74831.
37*i**2
Collect the terms in 3*h**2 - 3*h**2 - h**3 + 35*h - 136*h.
-h**3 - 101*h
Collect the terms in -6710*c**2 + 3352*c**2 + 5*c**3 + 3350*c**2.
5*c**3 - 8*c**2
Collect the terms in 1986*f**2 - 179*f**3 - 2*f**3 - 1987*f**2.
-181*f**3 - f**2
Collect the terms in 2021 - 198*h**3 - 2021 - 350*
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of -b**2*c*d**2 + 2*b**2*d**3 - 14*b*c*d**3 - 82*b*c*d**2 + b*d**3 + 119*d**3 - 52*d**2 wrt d.
12*b**2 - 84*b*c + 6*b + 714
What is the second derivative of -1293948*u**4 + 219247*u + 4?
-15527376*u**2
Find the first derivative of -538666*h**2 - 242397.
-1077332*h
What is the first derivative of -113476*z**2 - 43075 wrt z?
-226952*z
What is the first derivative of 42354*i - 10600?
42354
What is the third derivative of 4*q**4 + 22574*q**3*v**2 + q**2*v**2 + 69775*q**2*v wrt q?
96*q + 135444*v**2
What is the derivative of -18233*l**4 - 51075?
-72932*l**3
What is the third derivative of 2*k**4*y**2 - 2*k**4*y + 855*k**3*y**2 - 56563*k**2 + y**2 wrt k?
48*k*y**2 - 48*k*y + 5130*y**2
Find the first derivative of -339*w**4 + 53*w + 1222092.
-1356*w**3 + 53
What is the first derivative of 41*h*v + 20*h - 1247*v + 2199 wrt v?
41*h - 1247
What is the second derivative of 46067*i**3*n**2 + 10*i**3*n + 2*i**2*n**2 - 98*i**2*n + 15 wrt n?
92134*i**3 + 4*i**2
Find the third derivative of 3085*l**4*u**2 - 18*l**3*u**2 + 5*l**2*u**2 - 98*l**2 + 5*l*u**2 + l - 26 wrt l.
74040*l*u**2 - 108*u**2
Differentiate 82*h**2*p**3 - 11*h**2*p**2 - 8*h**2 - 146*p**3 + 820*p**2 with respect to h.
164*h*p**3 - 22*h*p**2 - 16*h
What is the second derivative of -11*y**2*z**5 - y**2*z + 61360*y**2 + y*z - 7245*z**5 - z wrt z?
-220*y**2*z**3 - 144900*z**3
Find the second derivative of 44640*i**4 + 18*i + 969 wrt i.
535680*i**2
Find the third derivative of 2698487*f**3 + f**2 - 939364*f wrt f.
16190922
What is the third derivative of 121867*r**3*v**5 + 626*r**3 - 24*r*v**2 wrt v?
7312020*r**3*v**2
What is the first derivative of -38238*n - 2474 wrt n?
-38238
What is the derivative of 112*h**3 + 658*h - 110370 wrt h?
336*h**2 + 658
Find the third derivative of 807933*v**3 + 11*v**2 + 487*v - 13.
4847598
Find the third derivative of -119389*k**3 - 2*k**2 + 49023*k.
-716334
What is the first derivative of 18*n**4 + 7487*n**3*x**3 - 42182*x**3 - 3*x wrt n?
72*n**3 + 22461*n**2*x**3
What is the second derivative of -3*f**2*y**3 - 6393*f**2*y + 2*f**2 + 11339*f*y**3 wrt f?
-6*y**3 - 12786*y + 4
Differentiate -1552*a**2*g + 5*a**2 + a*d*g - 1549*d + g - 1 with respect to a.
-3104*a*g + 10*a + d*g
Find the second derivative of -397*n**2*t**3 - n**2*t - 8135*n**2 - 48*n*t**4 wrt t.
-2382*n**2*t - 576*n*t**2
What is the third derivative of 25360*p**3*s**2 - 2*p**2*s**2 + 15024*p**2 wrt p?
152160*s**2
What is the second derivative of -2*n**3*q**2 - 10*n**3*q - 2*n**3 + 109*n*q**2 + 4*n*q*x - 11*n*q - 63*q**2*x + 2*q**2 - q*x wrt q?
-4*n**3 + 218*n - 126*x + 4
Find the third derivative of -3*u**3*w**4 + u**3*w**2 + 3598*u**2*w**4 - 5228*u**2*w - 5*w**2 wrt w.
-72*u**3*w + 86352*u**2*w
What is the third derivative of -87093*a**3 - 312*a**2 - 8*a - 1?
-522558
What is the second derivative of 26*c**2*p**3 - 4600*c**2*p**2 - 42*c*p**3 - 27*c - p**3 - 2 wrt c?
52*p**3 - 9200*p**2
Find the first derivative of 2165458*x**4 + 620617.
8661832*x**3
Find the second derivative of -227454*b*c**2 - 2*b*c - b + 1000*c + 5 wrt c.
-454908*b
Find the third derivative of 85328*f**4 - 70750*f**2 wrt f.
2047872*f
What is the second derivative of 790*i**5 - 17*i**4 - 30883*i + 2?
15800*i**3 - 204*i**2
Differentiate -583*o**3 - 158*o**2 + 279928 wrt o.
-1749*o**2 - 316*o
Find the first derivative of 2*a**3 + 1010*a**2 - 2*a + 32587 wrt a.
6*a**2 + 2020*a - 2
What is the second derivative of -7*c*d**2 - 27*c*d*q - 33*c*q**2 - 2*c*q - 5*c - 44*d**2*q**2 wrt d?
-14*c - 88*q**2
What is the second derivative of 2582*q**3*r**3 - q**3*r + 2*q**3 + 2*q*r**3 - 9*r**3 + 23*r - 326 wrt r?
15492*q**3*r + 12*q*r - 54*r
Find the first derivative of -320*m**3*v**2 - 4*m**3*v - 52557*m**3 + 2*v**2 wrt v.
-640*m**3*v - 4*m**3 + 4*v
Find the first derivative of -3439806*z**4 - 3631231.
-13759224*z**3
Find the third derivative of 272892*x**5 + 22*x**2 - 2006*x + 1.
16373520*x**2
Find the third derivative of 159*g**2*h**4*u**2 + 2*g**2*h**2*u - 31*g**2*h**2 + g**2*h*u**2 - 192*h**3*u**2 + 4*h - 189*u**2 wrt h.
3816*g**2*h*u**2 - 1152*u**2
Find the third derivative of 7478*n**3*z**6 - 901*n**3*z**2 + 11*n**2 + n*z**2 + n*z + 3*z**3 wrt z.
897360*n**3*z**3 + 18
Differentiate 751*w**2 + 105*w + 147049 with respect to w.
1502*w + 105
What is the third derivative of -5806*d**4 + d**2 + 181*d + 4 wrt d?
-139344*d
What is the third derivative of -2*h**2*t**3 - 40*h**2*t**2 - 2*h**2 + 16*h*r*t - h*t**3 + 4993*r*t**3 wrt t?
-12*h**2 - 6*h + 29958*r
Find the first derivative of 1414142*p**3 + 3227589 wrt p.
4242426*p**2
What is the derivative of -1291981*c + 1188402?
-1291981
What is the third derivative of -2*v**6*x - 4464*v**4*x - 5*v**2*x - 8*v**2 + 34 wrt v?
-240*v**3*x - 107136*v*x
What is the first derivative of -14*m**3*q*y - 4*m**3*y - 6*m**3 - 4*m**2*y - 42491*m*q**4*y - 1455*y wrt q?
-14*m**3*y - 169964*m*q**3*y
What is the second derivative of -261669*f**2 - 145135*f?
-523338
Find the first derivative of 131499*q**4 - 209426.
525996*q**3
What is the first derivative of -6702*c**2 + 71*c - 2708669?
-13404*c + 71
Find the second derivative of 1162304*z**4 - 797911*z.
13947648*z**2
What is the second derivative of 2*f**5 - 17172*f**3 - 4*f**2 - 78998*f wrt f?
40*f**3 - 103032*f - 8
Find the third derivative of 387*c**3*f**3*g**3 + 225*c**3*g**3 + c**2*f**2*g**2 - c*f**3*g**2 - 49*c*g**3 + 15*f wrt c.
2322*f**3*g**3 + 1350*g**3
Find the first derivative of -5*f**4 + 211*f**3 - 14*f**2 + 65862.
-20*f**3 + 633*f**2 - 28*f
What is the first derivative of 396*n*p**2*q**2 - 1378*n*p**2*q - 8*p**2*q**2 - 80887*p**2*q wrt n?
396*p**2*q**2 - 1378*p**2*q
What is the first derivative of 8*p**2*x**2 - 9*p**2 - 9*p*x**2 - 6*p*x - 2*p + 2*x - 288 wrt x?
16*p**2*x - 18*p*x - 6*p + 2
Find the third derivative of 2*k**4 - 29140*k**3 + 387265*k**2.
48*k - 174840
What is the derivative of -56698*p - 110591 wrt p?
-56698
What is the first derivative of 349306*p + 544459?
349306
What is the first derivative of -48*r**2*v**2 - 8*r**2*v - 53*r**2 - 10*r - 31*v**2 - 38 wrt v?
-96*r**2*v - 8*r**2 - 62*v
Find the third derivative of 7555*n**3*p - 35*n**3 - 203443*n**2*p wrt n.
45330*p - 210
What is the second derivative of 3300*y**3 - 92*y**2 - 217820*y?
19800*y - 184
Find the third derivative of -13*g**6 + g**5 + 463*g**4 + 11*g**2 + 3*g - 14 wrt g.
-1560*g**3 + 60*g**2 + 11112*g
Find the third derivative of 3245*q**5 - q**4*u**2 - 3*q**2 + 13226*u**2 wrt q.
194700*q**2 - 24*q*u**2
What is the second derivative of -26*h**4 + 336*h**3 - 2*h**2 + 1033160*h?
-312*h**2 + 2016*h - 4
What is the second derivative of -23072*g**3*q + g**2*q**3 - 2*g*q**3 - 4*g*q**2 + 9*g*q - g + 11*q wrt g?
-138432*g*q + 2*q**3
What is the third derivative of 147*d**6 - 7*d**5 + 45115*d**2?
17640*d**3 - 420*d**2
What is the second derivative of -19*l**2*x**2 - 1805*l**2 - 2*l*x**2 + l*x + 28*l + 276*x wrt l?
-38*x**2 - 3610
Differentiate 122007*f*q**2*z**3 - 34*q**2*z - 5*q**2 + 55*z**3 wrt f.
122007*q**2*z**3
Find the second derivative of -147*c**5 - 209*c**2 + 812*c + 26.
-2940*c**3 - 418
What is the second derivative of 1073*v**3*z**3 + 16*v**3 - 19962*v*z**3 + 3*v*z wrt v?
6438*v*z**3 + 96*v
What is the second derivative of -136590*m**3 + 1581*m - 756?
-819540*m
What is the second derivative of -f*o**3*s**2 - 1294*f*o**3*s + 2*f*o**2 + 23411*f*s**2 - o**3*s - 13*o*x + 8*s**2*x + x + 1 wrt s?
-2*f*o**3 + 46822*f + 16*x
Find the first derivative of 82*f**3*r + 1524822*f**3 - 5*f*r - 40*r wrt r.
82*f**3 - 5*f - 40
Find the second derivative of 11250*t**4 + 4*t**3 + 272715*t wrt t.
135000*t**2 + 24*t
Find the third derivative of 20*c**3*t**2 - 150*c**3*t - 8*c**3 + 2*c**2*t**2 + 412*c**2 + 22*t**2 + 2*t wrt c.
120*t**2 - 900*t - 48
What is the third derivative of 2*j**6*u + 110*j**3*u + 2*j**2*u + j**2 + 37*j*u + 7*u wrt j?
240*j**3*u + 660*u
Find the first derivative of -50*o**2 + 74*o*w**3 + 53630*w**3 wrt o.
-100*o + 74*w**3
Find the third derivative of 19934*x**3 + 471*x**2 + 2*x + 11.
119604
What is the derivative of 4588396*x - 5327169 wrt x?
4588396
Find the second derivative of 2*a*d**2*k - 3*a*d*k - a*k - a + 4945*d**2*k + 4*d + 2 wrt d.
4*a*k + 9890*k
Differentiate -682*j**4 - 196*j*n**3 - 925*n**3 - 16*n**2 with respect to j.
-2728*j**3 - 196*n**3
Find the s
|
{
"pile_set_name": "DM Mathematics"
}
|
.7025 rounded to 2 dps?
0.7
Round 1390000 to the nearest one million.
1000000
What is -0.03098 rounded to 3 dps?
-0.031
What is 196400 rounded to the nearest 10000?
200000
Round -7583.3 to the nearest 100.
-7600
What is -0.04768 rounded to two dps?
-0.05
Round -0.009696 to four decimal places.
-0.0097
Round -0.0000158 to five dps.
-0.00002
Round -415.9 to the nearest one hundred.
-400
What is -332398 rounded to the nearest 10000?
-330000
What is 102 rounded to the nearest 10?
100
What is 0.0001737 rounded to five decimal places?
0.00017
What is 574840000 rounded to the nearest one million?
575000000
What is -3120000 rounded to the nearest one million?
-3000000
What is -0.1131 rounded to three decimal places?
-0.113
Round -31.7 to the nearest 10.
-30
Round -0.00017285 to five dps.
-0.00017
Round -9139000 to the nearest 1000000.
-9000000
Round 483.9 to the nearest 10.
480
Round -63217000 to the nearest 100000.
-63200000
What is 0.0000026656 rounded to six dps?
0.000003
Round -0.00000060696 to seven dps.
-0.0000006
What is 0.0013249 rounded to 4 decimal places?
0.0013
Round -494570 to the nearest ten thousand.
-490000
What is -51870 rounded to the nearest 10000?
-50000
Round 602300 to the nearest 100000.
600000
Round -0.0003052 to 5 decimal places.
-0.00031
Round -4804 to the nearest one hundred.
-4800
What is 0.000019 rounded to 4 decimal places?
0
Round -16.1418 to the nearest integer.
-16
Round -273.252 to the nearest integer.
-273
Round -76.42 to the nearest integer.
-76
What is -0.11331 rounded to 3 decimal places?
-0.113
What is 0.0000046476 rounded to 6 dps?
0.000005
Round -3173.6 to the nearest 100.
-3200
What is -0.004461 rounded to 4 dps?
-0.0045
Round 135700 to the nearest ten thousand.
140000
What is 0.22474 rounded to one dp?
0.2
What is 3371000 rounded to the nearest one hundred thousand?
3400000
What is 24.256 rounded to the nearest integer?
24
What is 0.00000605 rounded to 7 dps?
0.0000061
What is -0.0001015 rounded to 5 decimal places?
-0.0001
Round -225200 to the nearest one hundred thousand.
-200000
Round 0.10829 to 3 decimal places.
0.108
Round 1557 to the nearest 100.
1600
What is 431.75 rounded to 0 dps?
432
What is 91581 rounded to the nearest 1000?
92000
Round 0.00000629 to seven decimal places.
0.0000063
What is 0.02687 rounded to 3 dps?
0.027
Round 67011 to the nearest ten thousand.
70000
Round 0.000022414 to six decimal places.
0.000022
What is -86989000 rounded to the nearest one million?
-87000000
Round 0.000016328 to seven dps.
0.0000163
What is 2245 rounded to the nearest one hundred?
2200
What is 65860 rounded to the nearest one thousand?
66000
What is 430.6 rounded to the nearest 10?
430
Round 1011.64 to the nearest one hundred.
1000
Round 5726 to the nearest 1000.
6000
What is 140.76 rounded to the nearest one hundred?
100
What is 0.000000653 rounded to 7 dps?
0.0000007
What is 0.00003622 rounded to 5 dps?
0.00004
Round 4522000 to the nearest 100000.
4500000
What is 0.0007287 rounded to 5 decimal places?
0.00073
What is 48380 rounded to the nearest one hundred?
48400
Round 275000 to the nearest 100000.
300000
What is -171.48 rounded to the nearest ten?
-170
What is 945000 rounded to the nearest 100000?
900000
What is -7350 rounded to the nearest 1000?
-7000
Round 0.0003421 to 5 dps.
0.00034
Round 55.4 to the nearest 100.
100
What is 0.0000027 rounded to 5 decimal places?
0
What is -0.02476 rounded to 3 dps?
-0.025
What is 37.1 rounded to the nearest ten?
40
What is -30.78 rounded to the nearest integer?
-31
Round -109.3 to the nearest 100.
-100
Round 2.497 to zero decimal places.
2
What is -2634.7 rounded to the nearest one hundred?
-2600
Round 300660 to the nearest one thousand.
301000
Round 6878.4 to the nearest one thousand.
7000
Round -0.00176 to 3 decimal places.
-0.002
Round 24.268 to one decimal place.
24.3
What is -13000 rounded to the nearest one hundred thousand?
0
Round -1.0166 to one decimal place.
-1
What is 1623400 rounded to the nearest one hundred thousand?
1600000
Round 4956070 to the nearest 100000.
5000000
What is 2.374 rounded to 1 dp?
2.4
What is -14955300 rounded to the nearest 1000000?
-15000000
What is -12770000 rounded to the nearest 100000?
-12800000
Round -2260.4 to the nearest 10.
-2260
Round -0.000069751 to 6 dps.
-0.00007
Round 0.0004728 to 4 decimal places.
0.0005
What is -0.0002989 rounded to five decimal places?
-0.0003
What is 0.000007681 rounded to 7 dps?
0.0000077
Round 7697.1 to the nearest one thousand.
8000
Round 1.91518 to 3 decimal places.
1.915
What is -5351.8 rounded to the nearest 1000?
-5000
Round 14.638 to 1 dp.
14.6
Round 0.0000010019 to seven dps.
0.000001
What is 18308 rounded to the nearest 100?
18300
Round 126.7 to the nearest 100.
100
Round -50.383 to one dp.
-50.4
What is -1.1882 rounded to one decimal place?
-1.2
Round -1.92056 to three decimal places.
-1.921
Round 60.301 to the nearest 10.
60
What is -0.0000018987 rounded to seven decimal places?
-0.0000019
What is 0.0000504825 rounded to 5 dps?
0.00005
Round 0.017583 to 4 decimal places.
0.0176
What is 0.007692 rounded to three decimal places?
0.008
What is -0.00002328 rounded to 6 dps?
-0.000023
Round 0.0000247411 to 7 dps.
0.0000247
What is 77050 rounded to the nearest 10000?
80000
Round -0.000821 to 4 dps.
-0.0008
What is -6720 rounded to the nearest 100?
-6700
What is 0.000016065 rounded to six decimal places?
0.000016
Round -108300 to the nearest 10000.
-110000
What is 4.7154 rounded to two dps?
4.72
What is 1289.5 rounded to the nearest one hundred?
1300
What is -0.00043156 rounded to 5 dps?
-0.00043
What is 0.4151 rounded to 2 dps?
0.42
Round -4543.4 to the nearest 10.
-4540
What is -1.56354 rounded to 3 decimal places?
-1.564
Round 4583.2 to the nearest one thousand.
5000
Round 0.00005121 to six dps.
0.000051
Round -27600000 to the nearest 100000.
-27600000
What is 29.14 rounded to the nearest integer?
29
What is 358500 rounded to the nearest 1000?
359000
Round 0.07683 to three decimal places.
0.077
Round -552500 to the nearest ten thousand.
-550000
What is -120.1 rounded to the nearest integer?
-120
Round -0.00012236 to five decimal places.
-0.00012
What is 0.001128 rounded to 5 decimal places?
0.00113
What is 1642000 rounded to the nearest 10000?
1640000
Round -864.9 to the nearest 10.
-860
What is 17278500 rounded to the nearest 100000?
17300000
What is -306370 rounded to the nearest one thousand?
-306000
What is 56.3 rounded to the nearest integer?
56
Round 0.025707 to three dps.
0.026
Round -0.0000001986 to seven decimal places.
-0.0000002
Round -8.4 to the nearest integer.
-8
Round -9723000 to the nearest one million.
-10000000
What is 9019000 rounded to the nearest one million?
9000000
Round 0.5446 to one decimal place.
0.5
What is -196824 rounded to the nearest one thousand?
-197000
Round 14.153 to 1 decimal place.
14.2
Round -18240 to the nearest one thousand.
-18000
What is 7.73 rounded to 0 dps?
8
Round -3.9696 to the nearest integer.
-4
Round -0.000000004 to seven decimal places.
0
Round -0.0001244 to five dps.
-0.00012
Round 0.0276 to 2 dps.
0.03
Round 13149800 to the nearest 1000000.
13000000
Round -77460 to the nearest one thousand.
-77000
What is -292000 rounded to the nearest 10000?
-290000
Round -0.0003527 to four dps.
-0.0004
Round 0.026526 to three decimal places.
0.027
What is 0.00002691 rounded to 5 decimal places?
0.00003
Round 0.0067653 to three dps.
0.007
Round -0.001962 to four dps.
-0.002
What is -17032700 rounded to the nearest 1000000?
-17000000
What is -0.000256 rounded to five dps?
-0.00026
Round 3724000 to the nearest one hundred thousand.
3700000
Round -0.00000331 to 6 decimal places.
-0.000003
Round -6092 to the nearest 1000.
-6000
What is -0.0000015074 rounded to 7 dps?
-0.0000015
Round 4.172 to the nearest integer.
4
What is -24890 rounded to the nearest 1000?
-25000
Round 0.00000181 to 6 dps.
0.000002
Round -10071100 to the nearest 100000.
-10100000
What is 0.00001074 rounded to seven dps?
0.0000107
Round 0.01974 to 3 dps.
0.02
What is -62700 rounded to the nearest one thousand?
-63000
Round -0.0012747 to four decimal places.
-0.0013
Round -0.016275 to three dps.
-0.016
Round -0.01041 to three decimal places.
-0.01
What is 0.0002669 rounded to 5 dps?
0.00027
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 13. Suppose 0 = -t + 19 - 26. Is 15 a factor of p(t)?
False
Let c = 7 + 207. Let z = -6 + c. Does 26 divide z?
True
Suppose -4*g + 180 = -4*s, -2*g - 2*s = -58 - 48. Suppose -j + 5 = -0, 2*i + g = -3*j. Let v = i + 55. Is v a multiple of 9?
False
Let c(j) = j**3 - j - 2. Let i be c(2). Suppose 3*d = 2*p + 122, -3*d + p + 134 = -i*p. Is d a multiple of 8?
False
Let u(c) = 2*c**2 - 2*c - 2. Let r be u(-1). Suppose -3*f - r*m + 26 = 0, 2*f + 0*m = -m + 17. Does 2 divide f?
True
Let i(y) = y**3 - 8*y**2 + 11*y - 4. Let z be (-1)/4 - ((-99)/12 + 0). Does 9 divide i(z)?
False
Suppose -19*f = -307 - 73. Does 5 divide f?
True
Let a(c) = -23*c + 137. Is a(-41) a multiple of 15?
True
Is 18 a factor of 273 + 0 + 18/(-6) + 4?
False
Let r(v) = v**2 - 14*v + 10. Let m be r(13). Suppose 0 = -c + 4*f - 92, 4*c = -5*f - 323 + 60. Is 30 a factor of (c/(-16))/(m/(-40))?
True
Let f(b) = b**2 + 10*b + 15. Let m(q) = q**3 - 5*q**2 + 2*q + 2. Let r be m(4). Let s be f(r). Does 5 divide 54*(15/s)/(-5)?
False
Let w be 120/(-2*(-3)/4). Suppose -x + 4*c = -3*x + 110, -2*x + w = -2*c. Is x a multiple of 17?
False
Let u(n) = 3*n**3 - 4*n - 1. Let q be u(-3). Let k = q + 178. Is 12 a factor of k?
True
Suppose 26*k - 2542 - 4530 = 0. Is k a multiple of 8?
True
Let t be -2 + (2 - 663*-3). Suppose 9*q - 26*q = -t. Is q a multiple of 39?
True
Let f = -116 - -118. Suppose -4*a + 5*r + 231 = 0, -f*a - 2*a = -4*r - 232. Does 4 divide a?
False
Suppose 3*z = -0*z + 312. Suppose 0 = -5*o + 4*o + z. Is 29 a factor of o?
False
Suppose 11*a = 6*a + 35. Suppose -a*w = -4*w. Suppose 5*b + 3*c - 6*c - 306 = w, 5*c = b - 70. Is 20 a factor of b?
True
Let x(t) = 2*t**2 + 5*t - 6. Let a be x(2). Suppose 5*f = -2 + a, 5*v = 4*f + 592. Is 12 a factor of v?
True
Let l = 1091 - 714. Is l a multiple of 29?
True
Let f = -22 - -22. Is 59 a factor of 6/(-24) - (f - 597/4)?
False
Let u be 2/11 - (-2133)/(-297). Let v(l) = l**3 + 11*l**2 + 16*l + 8. Let o be v(u). Suppose -4*h = -4*t + o, 2*t - 4*h - 117 = -3*t. Does 5 divide t?
True
Suppose 4*c + 294 = 5*w + 2*c, 176 = 3*w - c. Suppose -y + w = 13. Does 9 divide y?
True
Let u(s) = -s**3 + 3*s**2 - s - 9. Let t be u(4). Let y = -44 - t. Does 11 divide ((-5)/y)/(3/495)?
True
Let o = 10 + 1. Suppose m = -o + 5. Is 18 a factor of ((-162)/(-4))/(m/(-8))?
True
Suppose -3*j = -2*c + 75 - 13, -4*j = 4*c - 84. Is c - 2/(-2)*-1 even?
True
Suppose -5*d + 26 = h, 4*d + 5*h - 17 = 8*h. Suppose -o + 32 = g, 13 + 7 = d*g. Does 3 divide o?
False
Suppose 3*r = -d + 8, 6*d - 10*d + 47 = -3*r. Is 2 a factor of d?
False
Suppose -3 = 5*r - 3*u, 5 = r + r + 5*u. Let s(d) = 21 + d**2 + 0*d**2 - d - 16*d**3 + 18*d**3 - 3*d**3. Is 12 a factor of s(r)?
False
Let a be 4/((-12)/9) - -21. Let l = a + -18. Suppose -2*w = l, k - w = 2 + 4. Is k even?
True
Let y be (-30)/8 + 5/(-20). Let j be (y/(-8))/(2/(-260)). Let k = 116 + j. Is 17 a factor of k?
True
Suppose 3*f - 22 = -5*c, 5 = 4*c + 4*f - 11. Suppose -x + 0*i - 2*i + 112 = 0, -x + 120 = 4*i. Suppose -n - x = -c*n. Is 13 a factor of n?
True
Is (-2 - 3 - -5) + (1934 - 6) a multiple of 16?
False
Suppose 2*g = -4*g - 222. Let a = g + 91. Is 27 a factor of a?
True
Suppose o + 2*k = 875, 6*k = 3*o + 4*k - 2625. Suppose o = 5*b - 5*m, 5*b + 2*m = b + 682. Is b a multiple of 42?
False
Suppose -3*y = -5*y + 4. Suppose 30 - 6 = h + 2*l, -50 = -2*h - y*l. Is 6 a factor of h?
False
Let c(a) be the first derivative of a**3 + a**2/2 + a - 2. Let g be c(-1). Suppose -2*l + 164 = 5*j, g*j - l - l - 108 = 0. Does 17 divide j?
True
Does 4 divide (26 - 25)/(2 + 681/(-341))?
False
Let h(t) = 5*t**2 + 21*t - 35. Is h(6) a multiple of 10?
False
Let q = 236 - 56. Suppose -6*k + 54 = -q. Suppose c - k = -2*c. Does 5 divide c?
False
Is 15/10*37708/33 a multiple of 7?
False
Let m(y) = y**2 - y - 2. Let u be m(1). Let v = u + 59. Does 19 divide v?
True
Let p = 106 - -6. Does 7 divide p?
True
Let m be 402/14 + (-42)/(-147). Suppose 0 = -y + 119 - m. Is 15 a factor of y?
True
Let d be 80/15*(-9)/(-6). Let u be 3*d*4/24. Suppose -u*s + 97 - 21 = 0. Does 19 divide s?
True
Suppose -g + 4*x + 557 = 0, -6 = -3*x + 3. Is 12 a factor of g?
False
Let i be 0 + 1 - -1 - (4 + -12). Suppose 67 - i = j. Is 4 a factor of j?
False
Let o(p) = 6*p**2 + 2*p + 1. Let y be o(-2). Suppose j = -2*d - 38, 0*d = -d - j - y. Let h = 26 + d. Is h a multiple of 9?
True
Let a = 38 + -35. Suppose 4*q - 37 = a*f - 285, f + 5*q = 108. Does 32 divide f?
False
Let g(k) = k**2 + 4*k. Let q = 11 + -5. Let f(x) = x**3 - 6*x**2 - 2*x + 6. Let j be f(q). Is g(j) a multiple of 6?
True
Suppose -5*r - 17 = v + 428, 0 = 5*v + 4*r + 2330. Is 13 a factor of 94/v + -1 + (-416)/(-5)?
False
Let p(u) = u**2 - 2*u - 11. Let i be p(5). Suppose i*k = -2*g - 3 - 183, -2*k - 5*g = 89. Let d = 75 + k. Is d a multiple of 14?
True
Let y be 1*-28 - 16/4. Let v = y + 31. Is 22 a factor of v/(-3) - (-910)/42?
True
Let a be (-4 - 124/(-5))/(2/15). Suppose -44*w + a = -40*w. Is w a multiple of 7?
False
Suppose -9*p + 6*p + 48 = 0. Suppose p*q - 21 = 15*q. Does 20 divide q?
False
Let y be (-8)/(-32) - (-1182)/8. Let i = y + -100. Is 12 a factor of i?
True
Let s(m) = m**3 + 16*m**2 + 6*m - 14. Does 62 divide s(-6)?
True
Let z(k) = k**3 + 11*k**2 - 2*k - 8. Is z(-6) a multiple of 8?
True
Let x = 46 + -43. Suppose -5*b + 3*o = -0*b - 300, 120 = 2*b + x*o. Is 15 a factor of b?
True
Let u be (-36981)/(-84) - ((-3)/4 + 1). Suppose -j = 5*c - 149 - 291, 5*c - 2*j - u = 0. Is c a multiple of 22?
True
Let y = 38 + -36. Suppose -y*s = -o - 0*o + 47, 3*o + 4*s = 151. Does 7 divide o?
True
Suppose 4*h - 76 = 176. Let j be h/7 - 8/2. Let x(s) = 3*s + 11. Does 6 divide x(j)?
False
Let b be 1 + -1 + (-2 - -5). Suppose 2*k - k - 96 = b*z, 288 = 3*k - z. Is k a multiple of 8?
True
Let g = -1390 + 1826. Is g a multiple of 6?
False
Let w(a) = 0*a + 12*a**2 - 28*a**2 - 8*a + 15*a**2 - 10. Let l be w(-5). Suppose 12 = l*x - 5*h - 8, -4*h + 20 = 0. Is x a multiple of 2?
False
Let s be (6/5)/(1/(-10)). Suppose -211 - 185 = 22*p. Is 16 a factor of (183/2)/(p/s)?
False
Suppose 233 = -3*s + 1259. Does 57 divide s?
True
Suppose 1120 = -c - 9*c. Let y = c - -162. Is 25 a factor of y?
True
Suppose -o + 1 = -4. Let w(n) = -5*n**2 + 5*n + 14. Let x(v) = -5*v**2 + 7*v + 15. Let k(d) = -3*w(d) + 2*x(d). Is k(o) a multiple of 27?
True
Suppose 2*b + 5*d - 16 - 19 = 0, 10 = 2*d. Suppose -7*n + b*n + 216 = 0. Is n a multiple of 36?
True
Suppose -p + 16 + 4 = 0. Let q = p - 12. Suppose 0 = 2*k + q, 0 = -4*b - 0*k + 5*k + 164. Does 20 divide b?
False
Suppose 4*k - 2814 = b - 3*b, b - 1422 = k. Is 61 a factor of b?
False
Let q = 74 - -334. Is 15 a factor of (q/(-32))/((-3)/32)?
False
Let z be ((-8)/(-20))/(2/20). Suppose z - 6 = y + 2*a, 2*y = -2*a. Suppose 2*u = y + 12. Does 3 divide u?
False
Let t(r) be the second derivative of r**3/6 + 2*r**2 - 3*r. Is t(18) a multiple of 22?
True
Let s = -403 - -491. Is s a multiple of 88?
True
Let y = 5398 + -2263. Does 15 divide y?
True
Let t = -7 + -4. Let x = t - -42. Is 11 a factor of x?
False
Let y(q) = q**2 + 3*q + 259. Is 8 a factor of y(0)?
False
Is 3 a factor of (-9 - -3) + (357 - -6)?
True
Let m(y) = y**3 - y**2 + y - 192. Let i be m(0). Let s be (-18)/(-8)*i/(-18). Does 18 divide 4/(s/9)*24?
True
Let m be 1 + -2 - (-3 - -2). Suppose 0 = -3*d - 12, d = 3*o - m*d - 232. Is o a multiple of 10?
False
Suppose 247 = -2*f + 415. Does 28 divide f?
True
Let p = 1505 - 548. Is 33 a factor of p?
True
Suppose 0 = 13*c - 7669 + 1026. Is 21 a factor of c?
False
Let n = 39 - -1005. Does 58 divide n?
True
Is 6/24*-2*-1234 a multiple of 63?
False
Suppose 4 = 2*m + 2*g, 3*m + 4 = -4*g + 13. Is 23 a factor of -3 + (-1 - m - -72)?
True
Let g = 411 - 160. Does 10 divide g?
False
Let x(s) = s**3 + 21*s**2 - 36*s - 20. Is x(-22) a multiple of 18?
True
Suppose -3*r + 4*r = 2*p + 18, -2*p - 50 = -3*r. Let f = 245 - 101. Suppose 0 = 12*y - r*y + f. Is y a multiple of 18?
True
Let m(y) = -8*y**3 - 2*y**2 - 49*y - 8. Is 42 a factor of m(-6)?
False
Let w be (44/(-10))/(1/(-35)). Suppose -4*k + 174 = -5*i - w, -393 = -5*k + 2*i. Is k a multiple of 5?
False
Suppose 0 = -3*v - 3, -3*n - 3*v + 133 = -950. Let h = -227 + n. Is h a multiple of 27?
True
Let z = 18 + -10. Let d be ((-2)/3)/(z/(-24)). Suppose n = 0, d*q + 3*n - 20 = 6
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 6 - 1 - 9*n**2 - 3 to s*n**2 + f + y*n and give s.
-9
Rearrange -16*o - 39*o + 1 - 1 to t + w*o and give w.
-55
Rearrange (-2*m - 2*m**2 + 2*m)*(-21 - 30 + 11) to the form u + q*m + n*m**2 and give n.
80
Express -2*a + 4*a - a + (-4 + 4 - 2)*(1 - 1 - a) + 3*a - 1 + 8*a - 7*a as z + k*a and give z.
-1
Rearrange -33*z + 59 - 59 to the form w*z + c and give w.
-33
Express (1 + 2 - 4)*(1 - 9 - 8)*(2*t - 3*t - t) in the form d*t + c and give d.
-32
Rearrange (-3 + 2*p**3 + 3)*(0 + 1 - 3) + (4*p**3 - 2*p**3 - 5*p**3)*(-1 - 1 + 1)*(-2 + 3 + 0) to t*p**2 + b + l*p + y*p**3 and give y.
-1
Express -17 + 17 - 6*j in the form r*j + s and give r.
-6
Express -2*n**2 + 2*n**2 - 2 + 4*n + n + 7*n**2 in the form l*n**2 + s*n + z and give s.
5
Rearrange -13*d**2 + d**3 - 2*d**3 - d - d to c*d + s*d**2 + k*d**3 + j and give k.
-1
Express ((-u**2 + 3*u**2 + 0*u**2)*(3*u + u - 5*u) - 14*u**3 - 8*u**3 + 3*u**3)*(-2 + 4 - 1) as a*u**2 + l + i*u + r*u**3 and give r.
-21
Express 7 - 9*o + 14*o + 7 - 7 as c + z*o and give z.
5
Express 2 - y**4 + 350*y - 351*y + 4*y**3 + y**3 as k + x*y**4 + q*y**2 + o*y**3 + g*y and give g.
-1
Express 3*j - 4*j + j**2 + 3*j + 2*j as h + p*j + u*j**2 and give p.
4
Express 0*l + l**3 + 2*l - l**2 + 0*l**2 + 3*l**2 as a + k*l**2 + v*l + x*l**3 and give x.
1
Express 197 + 13*h**2 - 197 in the form g*h**2 + q*h + z and give g.
13
Rearrange -4 + r**3 + 5*r**2 - 5*r - 2 + 5*r to the form j*r + y + z*r**2 + c*r**3 and give c.
1
Express (-2 - 1 + 4)*(-262 + 262 + 15*v) as i*v + m and give i.
15
Rearrange -49*r + 87 - 87 to the form a + c*r and give c.
-49
Express 19*j - 20*j + 73 + 20 in the form y + v*j and give y.
93
Express (31*b + 11*b + 101 - 44*b)*(b - 3 + 3) as a + p*b**2 + d*b and give p.
-2
Rearrange 2*r**2 + 4*r**4 - 39*r + 38*r - 5*r**4 - 2 - 33*r**3 to b*r + m + s*r**4 + z*r**2 + w*r**3 and give m.
-2
Rearrange -2*t**3 - 7*t**4 + 8 + 2*t + 2*t**4 - 5*t**4 - 7 to o + m*t + p*t**4 + x*t**2 + n*t**3 and give o.
1
Rearrange (-2*a**3 + 0*a**3 + 3*a**3)*(-1 + 6 + 4) - 2*a + 2*a - a**3 to n*a**3 + f*a + l + k*a**2 and give f.
0
Express -3*v**3 + 0*v**4 + v**4 + v + 5*v**3 - 2*v - 5 in the form r + x*v**2 + d*v + c*v**3 + g*v**4 and give g.
1
Rearrange -11*t**3 - 9*t**3 - 37 + 21*t**3 to the form p*t + x*t**3 + u + g*t**2 and give u.
-37
Rearrange -6*a + 0*a + 3*a + 2 + a**3 + a to the form b + z*a + t*a**2 + r*a**3 and give r.
1
Express g + 1 - 2*g - 8*g**2 - 2*g**3 + 2*g + g**3 as j + x*g**3 + u*g + q*g**2 and give x.
-1
Rearrange (0*l**3 + 4*l**3 - 6*l**3)*(-3 + 3 + 4*l) - 5*l**4 - 2*l**4 + 3*l**4 to h*l**4 + z*l**2 + m*l + y + d*l**3 and give h.
-12
Express (p**3 - 4*p**3 - 2*p**3)*(-11*p + 8 - 8) as j*p**2 + v*p**4 + d + b*p**3 + c*p and give v.
55
Rearrange 25*a + 1 + 36*a - 32*a to the form m + p*a and give m.
1
Express -3*m**2 + 0*m**2 + 7*m**2 + (-3*m**2 + 0*m**2 + m**2)*(-3 - 6 + 3) - m**2 - 2*m**2 + 4*m**2 as p*m**2 + n + f*m and give f.
0
Express 9*n**4 + 21*n**4 - 6*n**4 + (2 - 2 - n**3)*(n - 3*n + 0*n) in the form k*n**4 + w + q*n**3 + i*n**2 + m*n and give k.
26
Express ((3*k**2 - 2*k**2 - 3*k**2)*(2*k - 2*k + k) - 8*k**3 + 5*k**3 + 2*k**3)*(3 - 3 + 4*k) as m*k**3 + n*k + l*k**2 + q + a*k**4 and give n.
0
Rearrange 3153*o**2 - 3151*o**2 + 50*o - 11*o to s*o**2 + u + i*o and give s.
2
Rearrange -i**2 - 111 - 10*i + 110 - 4*i**2 + 3*i**2 to the form m*i**2 + l + u*i and give m.
-2
Express w + 0 + 1 - 4*w**2 - 2 + (3 - 1 - 1)*(-4 + w**2 + 4) + 3*w**2 + w**2 - 2*w**2 as s*w**2 + q*w + t and give q.
1
Rearrange (1 + 2 - 1 + 12)*(-12 + 12 + 4*g) to the form q*g + s and give q.
56
Rearrange -c**2 - 6*c**3 - 26*c**3 + 12*c**3 to the form g*c**3 + k*c**2 + a + i*c and give g.
-20
Rearrange -2*g**2 - 2*g**2 + 45 - 42 + 6*g**2 to d + h*g**2 + z*g and give d.
3
Express -2 + 4 + 728*d - 766*d as g + h*d and give g.
2
Rearrange (-b - 2 + b**2 + 4*b - b)*(-2*b + b + 0*b)*(-2*b + 0*b + 32*b) to the form o*b**4 + d*b**2 + l*b**3 + y + n*b and give l.
-60
Rearrange -3*g - 73*g + 27*g to the form w + c*g and give c.
-49
Express -25*z**3 + 1 + 26*z**3 + 0*z - 13*z**2 - 2*z**2 + 2*z in the form t + n*z**2 + w*z + a*z**3 and give t.
1
Express -3*g**2 + 6 + 3 + 1 + 1 in the form z + o*g**2 + q*g and give o.
-3
Express (-1 + 0 + 2)*(4*l - 5 + 5)*(5 + 2 - 3) as c*l + h and give c.
16
Rearrange (4*s - 5*s + 3*s)*(-s**2 + 2 - 2) + 11*s**3 - 6*s + 6*s to n + d*s + b*s**3 + r*s**2 and give b.
9
Rearrange -2 - 24*m - 7 + 9 to p + b*m and give b.
-24
Rearrange (-2*q**2 - 3 + 3)*(-4*q**2 + 0*q**2 + 0*q**2) - 2*q**4 + 7*q**4 + 0*q**4 - 2*q**3 to the form c*q + f*q**4 + t*q**3 + s*q**2 + m and give t.
-2
Rearrange (-8 + 8 + 11*m)*(-m + m + 2*m) to c*m + v + l*m**2 and give l.
22
Express ((-3 - n**2 + 3)*(2 - 6 - 1) + n**2 + n**2 - 3*n**2 + 4*n - 4*n - 2*n**2)*(3 - 1 + 1) in the form p*n**2 + u*n + m and give p.
6
Express 0 - 15*p + 0 - 9*p as s + k*p and give k.
-24
Express -3*i - 38*i + 4*i as x + w*i and give w.
-37
Rearrange (0 + f + 0)*(1 - 2*f - 1)*(-7 + 4 - 14) to m*f**2 + p*f + o and give m.
34
Rearrange (-2*g**2 + 2 - 2)*(-39 + 3 + 75) to the form n + y*g**2 + m*g and give y.
-78
Express -4*c + 3*c**3 - c**2 + 4*c + 0*c in the form s*c**3 + o*c + z*c**2 + j and give z.
-1
Rearrange (3 - 3 + 1)*(3 - 3 - o)*(-1 - 6 + 3)*(-13 + 13 - 20*o) to the form y*o + z*o**2 + f and give z.
-80
Rearrange (5 - 3 + 0)*(3 - 3 - r) - 26 + 26 + 4*r to the form n*r + a and give n.
2
Express 2*f**3 + f**4 + 2*f**2 - 856*f + 856*f - 2 in the form d*f**2 + y + b*f**3 + q*f**4 + w*f and give q.
1
Rearrange -35*l**2 - 5*l**2 + 2*l**2 - 9*l**2 to r + m*l + s*l**2 and give s.
-47
Rearrange (2 - 4 + 0)*(-n**3 + 3*n**3 - 4*n**3) + 2*n**3 - 3*n**3 + 4*n**3 - n**3 + 3*n**3 - 3*n**3 to the form r + d*n + t*n**2 + a*n**3 and give t.
0
Rearrange (m**3 - 2*m**2 + 4*m**3 - 4*m**3)*(4*m + 8 - 8) to p + q*m**3 + j*m**4 + y*m + k*m**2 and give q.
-8
Rearrange -4*r**4 - 20*r**3 + 20*r**3 + (3*r + 4*r**3 - 3*r)*(0 + 0 - 2*r) to the form u*r**3 + n*r + t*r**4 + v*r**2 + b and give t.
-12
Express -123*s - 39*s**4 + 123*s + (s**4 + 3*s**4 - 2*s**4)*(-1 + 3 - 3) in the form u + k*s**2 + j*s**3 + y*s**4 + n*s and give y.
-41
Rearrange (-4*p + p - 5*p)*(26 + 7*p - 26) to the form k*p + q*p**2 + f and give q.
-56
Rearrange -17*q + 3 - q**2 + 16*q + 3 + (2*q + 4*q - 3*q)*(-2*q + 0*q + 4*q) + 2 - 2*q**2 - 2 to x*q + u*q**2 + t and give t.
6
Rearrange 24 - 24 + 14*q to t*q + x and give t.
14
Express -21*b**2 + 13*b**2 - 12*b**2 as j*b + r*b**2 + t and give r.
-20
Express 2*h - 4 - h + 16 - 2*h as u*h + b and give b.
12
Rearrange (-5*z + 2*z + 2*z)*(4 + 0 - 5) - 63*z - 61*z + 90*z to the form a*z + i and give a.
-33
Rearrange -2*m**2 - 16 + 0*m**2 + 17 - m**4 to p*m + n + i*m**4 + g*m**2 + k*m**3 and give g.
-2
Express 14 + 4*z**2 - 14 in the form x*z**2 + p*z + f and give p.
0
Rearrange -47*n - n**2 + 9*n**3 - 3 + 4 + 48*n to the form m*n**3 + b*n + f + i*n**2 and give i.
-1
Express -4 + 2*b - b**4 - 3*b**2 - 1 - b + 3 as l*b**2 + k*b**4 + o*b**3 + u*b + f and give o.
0
Rearrange 4*h**2 - 3*h**2 + 4*h**2 + 2 to s + p*h**2 + z*h and give z.
0
Express -o**2 - 2 + 1 + 4 as q*o**2 + b*o + r and give q.
-1
Express 4*v + v**3 + 0*v**3 + 5*v**2 + 2 - 4*v**2 as d*v**3 + l + z*v**2 + s*v and give l.
2
Express (-3*y + 7*y + 4*y)*(8*y**2 + 10*y**3 - 8*y**2) + y**2 + y**4 - y**2 as h*y**3 + w + c*y**2 + u*y + m*y**4 and give m.
81
Express -2*y - 6*y - 2*y + 2*y as x*y + q and give x.
-8
Rearrange 0*k**3 - 13*k**2 + 3*k**2 + k**3 to the form p*k + l*k**3 + x*k**2 + f and give x.
-10
Rearrange -12*m - 24*m + 5*m - m to the form h + a*m and give a.
-32
Rearrange 8*s - 30*s - 29*s to m*s + n and give m.
-51
Express (41*p - 43*p + 49*p)*(-3 + 2 + 2) in the form x*p + l and give x.
47
Rearrange (-8 - 2 + 1)*(d - 2 - 3*d - 2*d) to s*d + i and give i.
18
Express -l - 42 - 8*l + 42 in the form f*l + i and give i.
0
Rearrange 29*f**2 + 35 + 0*f**3 + f**3 + 2*f**2 - 37 to t + u*f**2 + n*f**3 + r*f and give n.
1
Express 3*a**3 - 4*a - 4*a**2 + 3*a**2 - a + 2*a**2 in the form j*a**3 + w + x*a + d*a**2 and give j.
3
Express 5*u - u**4 + 2*u**3 - 3*u + 2*u**4 in the form p*u**4 + s + w*u**2 + j*u**3 + x*u and give s.
0
Rearrange (-3*v**4 + 0*v**4 + v**4)*(28 + 28 + 48) to u*v**3 + x*v + p*v**2 + b + n*v**4 and give n.
-2
|
{
"pile_set_name": "DM Mathematics"
}
|
econd derivative of 0*f - 3*f + 0*f - 4*f**3 + f**r wrt f.
-18*f
Suppose -k + 2 = -3. Find the third derivative of f**5 + 0*f**5 + 3*f**2 + 2*f**k wrt f.
180*f**2
Let p(c) be the third derivative of c**9/3780 + c**7/630 + c**4/12 + 3*c**2. Let g(i) be the second derivative of p(i). Find the third derivative of g(t) wrt t.
96*t
Let m(f) = -f**3 - 2*f**3 + 4*f + f**3 + 1 + 2. Let p(k) = k**3 - k. Let j(g) = -m(g) - 4*p(g). What is the first derivative of j(i) wrt i?
-6*i**2
Let t be (-3)/(-2)*40/30. Find the third derivative of -o**t + 3*o**4 - 7 + 7 wrt o.
72*o
What is the second derivative of -3819*y**2 + 28*y**4 + 3819*y**2 + 5*y wrt y?
336*y**2
Suppose 3*f - 4*c - 42 = 0, -51 = -f - f - 5*c. Let d be (-4)/f - 2/(-9). What is the second derivative of d*o + 2*o - o**2 - 3*o**2 wrt o?
-8
Let d be 3/6*(2 + 2). What is the first derivative of l**4 + d*l**4 + 4 - l**4 wrt l?
8*l**3
Let f(r) be the first derivative of -2 + 0*r - 7/4*r**4 + 0*r**2 - 2/3*r**3. Find the third derivative of f(a) wrt a.
-42
Find the second derivative of -345*g**5 + 0 + 1 + 753*g**5 + 2*g - 350*g**5 wrt g.
1160*g**3
Let m(r) be the second derivative of 0*r**3 + 7/20*r**5 - 3*r + 7/2*r**2 + 0 + 0*r**4. What is the derivative of m(x) wrt x?
21*x**2
Differentiate -h - 1 - 5 - 21*h + 73 wrt h.
-22
Let n = 2 - 5. Let k be (-2 - n - 1) + 2. What is the third derivative of -3*t**k + 0*t**2 + 4*t**6 - t**6 wrt t?
360*t**3
Let q(i) be the second derivative of -i**5/15 - i**4/8 + i**2 - 4*i. Let b(h) be the first derivative of q(h). What is the second derivative of b(o) wrt o?
-8
Let g = -11 + 15. What is the third derivative of -2*z**4 + 7*z**2 + 0*z**2 + 9*z**g wrt z?
168*z
Let m(s) = 35*s**4 - 2*s**3 + 5*s. Let g(b) = 141*b**4 - 9*b**3 + 19*b. Let y(l) = -2*g(l) + 9*m(l). Find the second derivative of y(j) wrt j.
396*j**2
Let l = 26 + -23. Find the third derivative of 32*p**l - 4*p**2 - 22*p**3 + p**2 - 4*p**2 wrt p.
60
Let m(p) be the first derivative of p**4/4 - 17*p**2/2 + 4. Find the second derivative of m(i) wrt i.
6*i
Let i = -5 + 7. Differentiate i*c - 2*c - 5*c**3 + 4*c**3 + 2 with respect to c.
-3*c**2
Let g be 2*10/4*12/20. Let h(p) be the second derivative of -3/2*p**2 + 0*p**3 + 0 + 1/6*p**4 - g*p. Differentiate h(w) with respect to w.
4*w
Let u(i) = -5*i**5 + 2*i**4 + 2*i**2 + 13*i - 2. Let j(v) = -v**5 - v**4 - v**2 + 1. Let c(z) = -4*j(z) - 2*u(z). What is the second derivative of c(f) wrt f?
280*f**3
Let m = -9 + 13. Suppose 0*u - 8 = -m*u. Differentiate 3*r**2 - 3*r**2 + 2*r**3 + u wrt r.
6*r**2
Let p be (6/(-3))/(2/(-4)). Find the second derivative of 3*c - 4*c**4 + 3*c**p - c**4 wrt c.
-24*c**2
Let x(a) be the first derivative of -3/2*a**2 + 3*a + 3. Differentiate x(n) wrt n.
-3
Let b be 2/8 - (-38)/8. What is the third derivative of 5*u**2 - b*u**5 - 3*u**5 + 11*u**5 - 2*u**2 wrt u?
180*u**2
Let s(j) = 5*j**2 - j + 1. Let t be s(1). Find the third derivative of -r**4 + t*r**2 - 8*r + 6*r + 2*r wrt r.
-24*r
Let u(d) = 21*d - 2. Let o(x) = -10*x + 1. Suppose -39 = 3*v - 6*v. Let i(f) = v*o(f) + 6*u(f). Find the first derivative of i(z) wrt z.
-4
Let g(d) be the second derivative of d**5/5 + 11*d**2/2 + 8*d. What is the first derivative of g(t) wrt t?
12*t**2
Let z = 4 - 2. Suppose -2*p = -3*p + z. Find the first derivative of 2 + 5*x + x**p - 5*x wrt x.
2*x
Suppose -z = 5*g + 6, -5*z = -5*g + 14 + 16. Let p = 8 + z. What is the second derivative of -p*d**2 + 4 - 4 + d wrt d?
-4
Let n(k) = 7*k**4 + 4*k**3 + 4. Let x(b) = -b**3. Let a(o) = -n(o) - 4*x(o). What is the derivative of a(v) wrt v?
-28*v**3
Find the third derivative of -15 - 29*i**2 - i**4 + 6*i**4 + 15 wrt i.
120*i
Suppose -3*j + 2 + 4 = 0. Let z(p) = -p**3 + 4*p**2 + p - 2. Let h be z(4). Find the third derivative of u**2 - 4*u**h + 0*u**j - u**5 wrt u.
-60*u**2
Let j(k) be the first derivative of -5/2*k**2 - 3 + 0*k**3 + 1/5*k**5 + 0*k**4 + 0*k. What is the second derivative of j(h) wrt h?
12*h**2
Let w be (-72)/(-15) + 2/10. Find the first derivative of w + 1 - 3*b - 4 + 0 wrt b.
-3
Differentiate -3 + 6 + 2*r**2 + 4 + 3*r**2 with respect to r.
10*r
Let c(s) be the third derivative of -2*s**2 + 0 + 1/8*s**4 + 0*s + 1/2*s**3. What is the first derivative of c(n) wrt n?
3
Let i(c) be the third derivative of 0*c**3 + 0*c**6 + 0*c**7 + 0*c**4 + 1/12*c**5 + 0*c - 5*c**2 - 1/336*c**8 + 0. Find the third derivative of i(a) wrt a.
-60*a**2
Let r be 4 - (-2)/(2 + 0). Let f = 3 - 1. Find the second derivative of 8*u + r*u**f - u**2 - 5*u wrt u.
8
Let o(c) be the first derivative of -2*c**5/5 - 3*c**2/2 - 74*c - 42. Differentiate o(z) wrt z.
-8*z**3 - 3
Let a be (-3 - -1 - 9)*-1. Let n(u) = 13*u - 5. Let m(q) = 7*q - 3. Let s(f) = a*m(f) - 6*n(f). What is the derivative of s(v) wrt v?
-1
Let f(b) be the third derivative of 0*b**3 + 0*b - 1/12*b**4 - 2/15*b**5 + 0 - 8*b**2. What is the second derivative of f(i) wrt i?
-16
Let f be 4/(4/(-7)) - 3. Let n = -10 - f. Find the third derivative of -3*c**2 - 3*c**4 + 0*c + 2*c**4 + n*c wrt c.
-24*c
Suppose -f - 18 = -2*f. Suppose -5*b - 5*o = -30, 7*b - f = 2*b - 2*o. What is the second derivative of 2*l + 2*l**2 + l**b + l**4 - 3*l**2 wrt l?
12*l**2
Let u(j) be the second derivative of j**6/10 - 15*j**2/2 - 45*j. What is the first derivative of u(t) wrt t?
12*t**3
Let v = 5 + -4. Let k(y) = -2*y**4 + 5*y**2 - 1. Let a(x) = -x**2 + 1. Let s(o) = v*k(o) + 5*a(o). Differentiate s(b) with respect to b.
-8*b**3
Let t(s) = -11*s**2 + 19*s + 2. Let z(r) = -10*r**2 + 20*r + 3. Let a(l) = 3*t(l) - 2*z(l). What is the second derivative of a(q) wrt q?
-26
Let n(g) = 2*g**4 - g**3 + 3*g + 1. Let l(p) = p**3 - 1. Let m be 2/11 + (-36)/(-44). Let q(w) = m*n(w) + l(w). Find the second derivative of q(t) wrt t.
24*t**2
What is the first derivative of 81*w**2 - 19*w**3 - 81*w**2 + 6 wrt w?
-57*w**2
Let d(p) be the second derivative of -p**6/40 + 7*p**4/24 + p**2/2 + p. Let n(t) be the first derivative of d(t). Find the second derivative of n(k) wrt k.
-18*k
Suppose 0 = 4*i + i - 10. Find the third derivative of 4*r**3 - 6*r**i + r + 0*r**3 - r wrt r.
24
Let x(b) = -13*b**2 - 12*b + 5. Let r(t) = 6*t**2 + 6*t - 3. Let s(i) = -5*r(i) - 3*x(i). Find the second derivative of s(u) wrt u.
18
Let l(q) be the third derivative of q**8/1680 - q**6/180 + q**3/6 - 3*q**2. Let x(c) be the first derivative of l(c). Find the third derivative of x(s) wrt s.
24*s
Let m(c) = -2*c - 2. Let o be m(-5). What is the third derivative of -6*p**2 + o*p**3 - 4*p**3 + p**3 wrt p?
30
Suppose 7*w - 20 = 2*w. Let u = 6 - w. Find the third derivative of t**u + 0*t**2 + t**2 + t**4 wrt t.
24*t
Let g(b) = b + 4. Let w(c) be the second derivative of -c**3/3 - 3*c**2/2 + 4*c. Let y(u) = 2*g(u) + 3*w(u). Differentiate y(m) with respect to m.
-4
Let k(q) be the second derivative of 41*q**5/20 - 3*q**4/2 - q**3/3 + 8*q + 4. Find the third derivative of k(r) wrt r.
246
Let v(c) = 3*c**2 - 10*c + 3. Let w(q) = -5*q**2 + 15*q - 4. Let i(l) = -8*v(l) - 5*w(l). Let d be i(-6). Differentiate -d + 1 - o**2 - 3 + 3 wrt o.
-2*o
Let f(d) = -3*d + 3. Let q(c) be the first derivative of -2*c**2 + 4*c + 1. Let k = -1 + -5. Let s(v) = k*f(v) + 4*q(v). Differentiate s(g) wrt g.
2
Differentiate 12 + 6*g - 7*g**2 - 6*g - 2*g**2 wrt g.
-18*g
Find the third derivative of 2*g**4 - 171*g**2 + 138*g**2 - 2*g**4 - 44*g**6 wrt g.
-5280*g**3
Let c(v) be the second derivative of -2*v + 1/12*v**4 + 0 + 0*v**3 - 1/15*v**6 + 0*v**5 + 0*v**2. Find the third derivative of c(z) wrt z.
-48*z
Let j(y) be the first derivative of -y**8/1680 - y**6/72 + y**3 + 1. Let d(t) be the third derivative of j(t). What is the third derivative of d(r) wrt r?
-24*r
Suppose 2*u - 5*t = 2, -3*t + 8 = -3*u + 20. Let v be (-2)/4 + (-15)/(-6). Differentiate -1 + u*r**v - 6*r**2 + r**4 wrt r.
4*r**3
Let y(h) be the first derivative of h**4/2 - 7*h**3/3 - 2. Find the third derivative of y(k) wrt k.
12
Find the first derivative of -s**4 - 7*s**4 - 2 + 3 + 3*s**4 wrt s.
-20*s**3
Let v be (0 - 1 - 3)/(-1). Suppose -4*k = -12 + 4. What is the third derivative of m**4 + v*m**2 + 0*m**4 - 3*m**k wrt m?
24*m
Let l(o) = -3*o - 8. Let q(s) = 14*s + 41. Let p(a) = 11*l(a) + 2*q(a). Find the first derivative of p(z) wrt z.
-5
Suppose z + 0 - 2 = 0. Suppose -z*u + 4 = -0. Different
|
{
"pile_set_name": "DM Mathematics"
}
|
he third derivative of z(j). Give i(d(b)).
108*b
Let i(s) = -13*s - 2. Let h = 505 - 383. Let g(n) = -6*n**2 + h - 62 - 60. Give i(g(u)).
78*u**2 - 2
Let r(m) = -41319*m + 2 + 41317*m - 2. Let q(y) = 352*y**2. Give q(r(a)).
1408*a**2
Let t(j) be the second derivative of -j**3 + j. Let p(i) be the second derivative of -i**4/3 + 5*i + 2. What is t(p(v))?
24*v**2
Let g(x) be the third derivative of -x**5/60 - 9*x**4/8 - 1782*x**2. Let h = 8 + -3. Let m(n) = h*n - 7*n + 0*n. Calculate m(g(p)).
2*p**2 + 54*p
Let b(j) be the first derivative of j**6/90 + 74*j**3 + 44. Let g(x) be the third derivative of b(x). Let t(a) = 19*a**2. Give t(g(c)).
304*c**4
Let v(a) = 9*a**2 + 28*a + 14. Let o(n) = -5*n**2 - 16*n - 8. Let d(t) = 7*o(t) + 4*v(t). Let u(z) = -415*z. Calculate d(u(f)).
172225*f**2
Suppose -6 = 3*r - 6*r. Let n(x) = -3*x**2 - 2*x**r - x**2. Let w(c) be the third derivative of 2*c**5/15 - 127*c**2. What is n(w(p))?
-384*p**4
Let d(u) = -13*u**2 + 3*u + 12*u**2 - 3*u. Suppose 6*z = 17 - 5. Let w(a) = -5*a**z - 19 + 19. Give d(w(b)).
-25*b**4
Let c(q) = 1407*q. Let o(d) = 80034*d. Calculate o(c(z)).
112607838*z
Let w(l) = 434*l**2. Let y(r) = -65*r + 150*r - 92*r. Give w(y(g)).
21266*g**2
Let o(f) = -1 + 2 + 2406*f - 2498*f. Let n(j) = -j. Calculate n(o(b)).
92*b - 1
Let f(k) = 5*k**2 - 8*k - 2. Let r(x) = x**2 + 2*x + 1. Let w(y) = f(y) + 2*r(y). Let b(i) = -14*i**2. Calculate w(b(q)).
1372*q**4 + 56*q**2
Let y(p) be the second derivative of -19*p**3/6 + 4479*p. Let n(b) = 1. Let x(z) = 4*z**2 - 4. Let o(t) = -4*n(t) - x(t). Determine y(o(u)).
76*u**2
Let l(h) = -151*h - 638*h - 473*h. Let c(f) = f. What is l(c(z))?
-1262*z
Let f(q) = 2*q**2. Let j(k) = -34524663*k**2. Calculate f(j(l)).
2383904710527138*l**4
Let n(y) = 5866029*y. Let z(d) = -14135*d. Let o(k) = -2*n(k) - 831*z(k). Let g(b) = -b**2. Determine g(o(j)).
-199572129*j**2
Let q(r) = -40*r. Let h(a) be the second derivative of -a**5/24 + 143*a**3/6 - 25*a. Let y(v) be the second derivative of h(v). Give q(y(w)).
200*w
Let x(q) = -69*q**2 - 1. Let j(m) be the second derivative of m**4/4 + 8*m + 8. Determine x(j(r)).
-621*r**4 - 1
Let o(a) = -2*a. Let q(r) = 37*r**2 + 3966699*r + 2. What is q(o(k))?
148*k**2 - 7933398*k + 2
Let u(v) = -v**2 + 939*v + 1. Let j(l) = 2*l + 2038. Give j(u(z)).
-2*z**2 + 1878*z + 2040
Let p(t) = 4*t. Let a(v) = -39*v. Let g(y) = -21*y. Let j(d) = -a(d) - 15*g(d). Calculate p(j(w)).
1416*w
Let k(p) = 7*p**2. Let j(b) = 5*b - 187. Let o be j(38). Let l(q) = 105*q**2 + o*q - 63*q**2 - 3*q. Calculate l(k(u)).
2058*u**4
Let t(r) = -53*r. Let w(c) = 136080*c. Give t(w(f)).
-7212240*f
Let o = -71 + 245. Let u(p) = -184 + p**2 + 4*p**2 + 358 + 4*p - o. Let f(s) = 3*s. Give f(u(d)).
15*d**2 + 12*d
Let f = 15 - 6. Let x be f + -3 + 1 + 14/(-7). Let w(h) = -10*h**2 - 6. Let j(d) = -10*d**2 - 5. Let u(a) = x*w(a) - 6*j(a). Let b(s) = 2*s. Determine b(u(t)).
20*t**2
Let m(j) = 65*j**2. Let k(p) = 65*p - 11*p - 9*p - 19*p. Give k(m(h)).
1690*h**2
Let r(m) = -163*m. Let t(q) be the second derivative of 7*q + 0 + 0*q**2 - 1/6*q**3. What is r(t(x))?
163*x
Let w(o) = -140*o**2 + 66*o**2 + 87*o**2. Let a(c) = -132*c**2. Give a(w(b)).
-22308*b**4
Let a(y) = 7*y. Let n(x) = -90*x**2 - 40*x - 280. Let c(s) = -s**2 + 2*s + 14. Let i(q) = -20*c(q) - n(q). Calculate i(a(z)).
5390*z**2
Let d(p) = -5812552*p. Let o(q) = -2*q. What is d(o(u))?
11625104*u
Let v(z) = -4*z + 3. Let w(l) be the second derivative of -2/3*l**3 + 6 - 12*l + 0*l**2. Determine v(w(o)).
16*o + 3
Let j(v) = 2*v**2. Let o = 36 - 34. Suppose -5*x + 966 = g - 742, 678 = o*x + 3*g. Let t(n) = 342*n - x*n - 13*n**2 - 8*n**2. Give j(t(c)).
882*c**4
Let b(v) = -8*v. Let x(j) be the second derivative of 0*j**2 + 9*j + 1/6*j**3 - 2. Calculate b(x(q)).
-8*q
Let z(m) = 7*m. Suppose -5*q + 11*q - 18 = 0. Let v(j) = 9*j**2 - 10. Let h(c) = c**2 - 2. Let r(p) = q*v(p) - 15*h(p). Determine z(r(o)).
84*o**2
Let o(y) = -62227*y - 610. Let b(d) = -d**2. Give o(b(g)).
62227*g**2 - 610
Let q = -8951/18 + 4480/9. Let y(d) be the first derivative of -q*d**2 + 37 + 0*d. Let c(t) = -4*t. Determine c(y(a)).
4*a
Let q(f) be the second derivative of 233*f**4/12 - f**2/2 - 4510*f + 1. Let b(m) = -m**2. Calculate b(q(d)).
-54289*d**4 + 466*d**2 - 1
Let u(b) = 62 - 40*b + 144*b - 101*b. Let v(l) = 2*l - l + 3*l - 2*l. Determine v(u(x)).
6*x + 124
Let p(z) = z - 4*z + 0*z. Let l(y) be the first derivative of 0*y + 182 - 16/3*y**3 + 0*y**2. Give l(p(k)).
-144*k**2
Suppose 45*u = 10 + 35. Let w(v) = -8*v - 11*v - 1 + 15*v + u. Let a(x) = -12*x**2 - 1. What is w(a(r))?
48*r**2 + 4
Let d(z) be the second derivative of -z**2 - 4*z + 0*z**4 + 0*z**3 + 0 - 1/20*z**5. Let n(x) be the first derivative of d(x). Let o(c) = -c. Give n(o(a)).
-3*a**2
Let r(i) be the third derivative of 1/30*i**5 - 109*i**2 + 0*i**4 + 0*i + 0 + 0*i**3. Let d(j) = -156*j. Calculate d(r(h)).
-312*h**2
Let w(p) = -16*p**2. Let i(b) = -4189 - 37*b**2 - 4192 + 8381. What is i(w(h))?
-9472*h**4
Let y(s) = -975*s**2. Let j(n) = -2*n + 633638 - 633638. What is y(j(a))?
-3900*a**2
Let w(d) = 688*d. Let p(f) = 53486*f + 3. What is w(p(j))?
36798368*j + 2064
Let a(c) = 200*c**2 + c + 34. Let p(t) = 29*t. Calculate p(a(i)).
5800*i**2 + 29*i + 986
Let j(h) be the second derivative of 253*h**4/12 - 1226*h. Let o(w) = -7*w**2. Calculate o(j(u)).
-448063*u**4
Let d(g) = -141*g. Let h(m) = -1281*m. Let c(p) = 91*d(p) - 10*h(p). Let v(s) = 464*s**2. Calculate v(c(f)).
204624*f**2
Let m(k) be the first derivative of k**2 - 99*k + 1313. Let d(y) = 26*y**2. What is d(m(j))?
104*j**2 - 10296*j + 254826
Let m(c) = 2*c. Let f(z) = 894*z - 18. Let u(r) = -1391960*r + 28035. Let k(g) = 3115*f(g) + 2*u(g). What is k(m(n))?
1780*n
Let l(t) = 123*t**2 + 0 - 64*t**2 + 2 - 58*t**2. Let q(p) = -2*p**2 - 3. Let s(g) = 3*l(g) + 2*q(g). Let x(r) = -8*r - 2. Give s(x(k)).
-64*k**2 - 32*k - 4
Let w(j) = 2*j - 2535. Let s(l) = 6*l - 7572. Let m(o) = -2*s(o) + 7*w(o). Let c(y) = y. Give c(m(d)).
2*d - 2601
Let t(l) = -6*l**2. Let b(s) = -1106807*s. Calculate t(b(a)).
-7350130411494*a**2
Let o(d) = -10*d + 57. Let p(u) = 30*u**2 + 1079*u. Calculate o(p(t)).
-300*t**2 - 10790*t + 57
Let d(v) = 33*v**2 + 7*v - 2. Let c(h) = 17*h**2 + 4*h - 1. Let k(i) = -7*c(i) + 4*d(i). Let m(a) = -20*a. What is m(k(x))?
-260*x**2 + 20
Let q(r) be the first derivative of -r**2 - 1026. Let i(c) = -8*c - 9. Determine q(i(u)).
16*u + 18
Let s(j) = 2*j. Let n = -89 + 92. Let c = 8 - 7. Let o(t) = -3. Let r(a) = -a**2 + 1. Let b(u) = c*o(u) + n*r(u). Determine s(b(y)).
-6*y**2
Let u(k) = 12*k**2. Let f(v) be the second derivative of -v**3/6 - 21*v**2 - v + 299. Calculate u(f(q)).
12*q**2 + 1008*q + 21168
Let i(t) = -5*t**2 + 11*t**2 + 8*t**2. Let q(v) = 45*v + 227. Let z be q(-5). Let k(b) = -21*b**2 - 44*b**2 + 62*b**z. Calculate i(k(h)).
126*h**4
Let u(d) = -357*d. Let a = -18 + 20. Let n(g) = 2 - a*g**2 + 21 - 23. Calculate u(n(i)).
714*i**2
Let f(u) be the second derivative of 12*u**4 - 3*u + 181. Let b(q) = -8*q**2. Give b(f(r)).
-165888*r**4
Let u(m) = -14*m**2. Let b(w) be the second derivative of w**4/12 - w**3/6 - 4*w - 10. Let j(n) = 20*n**2 - 15*n. Let p(d) = 15*b(d) - j(d). What is p(u(h))?
-980*h**4
Let u(z) = -5072 - 5061 + 2*z + 10137. Let f(k) = 15*k**2. Give f(u(g)).
60*g**2 + 240*g + 240
Let y(d) be the second derivative of d**4/2 - 2*d. Let h(m) be the third derivative of m**4/4 + 25*m**2 + 444. What is h(y(v))?
36*v**2
Let z(g) = 10*g**2 + 1. Let w(o) = -o**2 - 38*o + 401. Let s be w(-46). Let p(n) be the second derivative of 0 + 1/3*n**3 - s*n + 0*n**2. Calculate z(p(a)).
40*a**2 + 1
Let m(v) be the first derivative of -4*v**2 - 1. Let b(r) = 57*r + 4. Let p(s) = -1285*s - 90. Let g(x) = -45*b(x) - 2*p(x). Give g(m(k)).
-40*k
Let t(y) = 5329164*y. Let b(k) = -8*k**2. Determine b(t(g)).
-227199911511168*g**2
Let j(l) = -88364*l**2. Let i(s) = -18*s**2. Calculate j(i(f)).
-28629936*f**4
Let p(l) be the second derivative of l**3/6 - 42*l - 4. Let a(r) = -3170*r. Give a(p(u)).
-3170*u
Let j(r) = -4*r. Let i(y) = -3*y**2 + y + 1. Let s(d) = 483*d**2 - 4*d - 4. Let a(p) = 4*i(p) + s(p). Determine j(a(z)).
-1884*z**2
Let c(w) = 12*w + 4. Let a(g) = 461673*g. Calculate c(a(f)).
5540076*f + 4
Let o(m) = -252*m + 95*m
|
{
"pile_set_name": "DM Mathematics"
}
|
e prob of sequence dcf.
3/286
Four letters picked without replacement from mmmmmnmmnnmmnmnnmmn. Give prob of sequence mnmm.
385/3876
Two letters picked without replacement from vfvfyfsssvvyvvvvvywv. What is prob of sequence yv?
3/38
What is prob of sequence gfjk when four letters picked without replacement from {k: 4, j: 1, x: 4, g: 1, f: 1}?
1/1980
Calculate prob of sequence hlln when four letters picked without replacement from sqqhssqlllsnnlqnssv.
1/2584
Three letters picked without replacement from {h: 4, s: 1, o: 4, m: 3, r: 1, w: 1}. Give prob of sequence whr.
1/546
Four letters picked without replacement from {f: 1, c: 1, u: 2}. Give prob of sequence ucuf.
1/12
Two letters picked without replacement from {v: 2, f: 1, c: 1, a: 2, e: 1, r: 2}. What is prob of sequence aa?
1/36
Calculate prob of sequence aaa when three letters picked without replacement from afasfassssafafa.
4/91
Four letters picked without replacement from {g: 2, y: 2, v: 1, j: 5, s: 6}. Give prob of sequence sjvj.
1/364
Three letters picked without replacement from szwyizrsw. What is prob of sequence zyw?
1/126
Four letters picked without replacement from {b: 4, k: 2, h: 2}. What is prob of sequence kbhb?
1/35
Two letters picked without replacement from {j: 3, w: 4}. What is prob of sequence jj?
1/7
Two letters picked without replacement from rbrbbbbbrbbbbrbrbb. Give prob of sequence bb.
26/51
Calculate prob of sequence ruw when three letters picked without replacement from ekrkurkuuwr.
1/110
Four letters picked without replacement from {j: 2, d: 2, p: 4}. What is prob of sequence ddpp?
1/70
Two letters picked without replacement from {n: 6, s: 1, w: 3, f: 8}. What is prob of sequence wn?
1/17
What is prob of sequence ta when two letters picked without replacement from {z: 2, t: 3, a: 2, y: 1, o: 6}?
3/91
Three letters picked without replacement from ggggwgggwgg. What is prob of sequence ggg?
28/55
Three letters picked without replacement from mvfvtws. What is prob of sequence vmw?
1/105
Three letters picked without replacement from {g: 5, q: 1, z: 1, l: 1, e: 3}. Give prob of sequence lqe.
1/330
What is prob of sequence ltj when three letters picked without replacement from tjlttttgtgjl?
1/55
Three letters picked without replacement from {l: 4, i: 3, x: 4}. Give prob of sequence xll.
8/165
What is prob of sequence mgcg when four letters picked without replacement from {i: 1, c: 2, g: 2, m: 6, p: 1}?
1/495
What is prob of sequence yk when two letters picked without replacement from yvkfyky?
1/7
What is prob of sequence ly when two letters picked without replacement from {d: 1, j: 2, l: 3, b: 4, y: 2}?
1/22
Two letters picked without replacement from {a: 1, f: 4, b: 7, w: 1}. Give prob of sequence fa.
1/39
Four letters picked without replacement from {v: 4, u: 1, y: 1, f: 1, h: 3, g: 4}. Give prob of sequence vgyu.
2/3003
Four letters picked without replacement from {f: 11, u: 1}. What is prob of sequence fuff?
1/12
What is prob of sequence nuy when three letters picked without replacement from {y: 4, n: 2, u: 5}?
4/99
Four letters picked without replacement from {k: 5, f: 1, e: 3, w: 6}. Give prob of sequence efww.
1/364
Two letters picked without replacement from ebded. Give prob of sequence ee.
1/10
Calculate prob of sequence ad when two letters picked without replacement from wdadawwddddwwwa.
3/35
What is prob of sequence brm when three letters picked without replacement from mrbmbmbrrrrmmwrmmb?
7/204
Calculate prob of sequence hh when two letters picked without replacement from {a: 2, h: 4, v: 2}.
3/14
Calculate prob of sequence uk when two letters picked without replacement from {h: 2, k: 3, u: 1, z: 1}.
1/14
Four letters picked without replacement from nttnnnnnnn. Give prob of sequence tntn.
1/45
What is prob of sequence ggy when three letters picked without replacement from ggggyggg?
1/8
Two letters picked without replacement from xbxxxxxbxxxb. Give prob of sequence bb.
1/22
Calculate prob of sequence ggzo when four letters picked without replacement from {m: 3, j: 3, z: 3, o: 1, g: 5}.
1/546
Three letters picked without replacement from lpflzluflfufzffpplrl. What is prob of sequence lfp?
3/190
Two letters picked without replacement from zzmmmzezmzmeeezz. What is prob of sequence mm?
1/12
What is prob of sequence dca when three letters picked without replacement from {y: 2, a: 1, c: 1, l: 2, j: 1, d: 1}?
1/336
Four letters picked without replacement from {i: 10, p: 3, j: 2}. What is prob of sequence jiij?
1/182
What is prob of sequence vnv when three letters picked without replacement from {v: 3, n: 3, x: 4, g: 1}?
1/55
Four letters picked without replacement from nnrrnrnnrrnnnnnn. Give prob of sequence rnrr.
11/728
Two letters picked without replacement from xxxxxxxexxxxe. What is prob of sequence xe?
11/78
Three letters picked without replacement from {r: 3, e: 5}. What is prob of sequence err?
5/56
What is prob of sequence ct when two letters picked without replacement from {c: 1, p: 3, s: 1, l: 7, t: 1}?
1/156
Two letters picked without replacement from {q: 2, k: 3, p: 2, y: 3, e: 1, n: 1}. Give prob of sequence yp.
1/22
What is prob of sequence cq when two letters picked without replacement from {x: 6, c: 1, q: 1, h: 2, y: 1, m: 4}?
1/210
Three letters picked without replacement from {e: 2, l: 1}. Give prob of sequence ele.
1/3
Three letters picked without replacement from {m: 1, t: 1, k: 1, p: 1, s: 1}. Give prob of sequence kmt.
1/60
Calculate prob of sequence klsf when four letters picked without replacement from {e: 1, f: 3, k: 3, s: 3, l: 2, n: 3}.
3/1820
What is prob of sequence rvr when three letters picked without replacement from rvvvvvvvvvrvvvvvvvvv?
1/190
Four letters picked without replacement from {w: 5, b: 4, v: 1, j: 6}. Give prob of sequence jvbb.
3/1820
Four letters picked without replacement from rbibhiiihiihkih. Give prob of sequence khbb.
1/4095
What is prob of sequence vv when two letters picked without replacement from fvv?
1/3
Four letters picked without replacement from hhhhhkhhhhhohh. Give prob of sequence hhok.
1/182
Calculate prob of sequence soqq when four letters picked without replacement from sooqoqjqssmvmmo.
1/455
Two letters picked without replacement from ggngzezgagza. What is prob of sequence ne?
1/132
Two letters picked without replacement from {z: 2, q: 3, u: 1, p: 1}. What is prob of sequence zq?
1/7
Four letters picked without replacement from zwoywwwn. Give prob of sequence owzy.
1/420
Two letters picked without replacement from jthjbhtbj. Give prob of sequence bj.
1/12
Calculate prob of sequence uagx when four letters picked without replacement from uahxxlgallaxagl.
1/1365
Two letters picked without replacement from tjtathaujsa. What is prob of sequence aa?
3/55
Calculate prob of sequence dcz when three letters picked without replacement from {c: 1, z: 2, d: 1, n: 3}.
1/105
Three letters picked without replacement from {q: 2, f: 3}. Give prob of sequence fqf.
1/5
What is prob of sequence cl when two letters picked without replacement from {l: 11, c: 1}?
1/12
Four letters picked without replacement from ogoeyddgedgd. What is prob of sequence gdgg?
1/495
What is prob of sequence ma when two letters picked without replacement from {m: 3, r: 1, a: 11}?
11/70
Calculate prob of sequence vvs when three letters picked without replacement from vvvvvvvvvvvvsvvsvvv.
16/171
Three letters picked without replacement from jrqqjr. What is prob of sequence jrj?
1/30
Two letters picked without replacement from qqqqqdqqdqq. What is prob of sequence dd?
1/55
What is prob of sequence lh when two letters picked without replacement from hhhhhhhhhlhh?
1/12
Two letters picked without replacement from {v: 3, g: 9, j: 4}. What is prob of sequence jv?
1/20
Two letters picked without replacement from prccrccrrrc. Give prob of sequence cc.
2/11
Three letters picked without replacement from {f: 2, l: 1}. What is prob of sequence ffl?
1/3
Calculate prob of sequence ll when two letters picked without replacement from gllgglglslls.
5/22
What is prob of sequence yly when three letters picked without replacement from {l: 14, y: 4}?
7/204
Four letters picked without replacement from {t: 3, a: 4, f: 3, u: 7, m: 1}. What is prob of sequence ufut?
7/136
|
{
"pile_set_name": "DM Mathematics"
}
|
= t*w(s) - r(s). Determine i(2).
-3
Let h be 0/((-3 - -4) + -3)*1. Let g(z) = -4*z**2 + 114*z**3 - 50*z**3 + z + 1 - 63*z**3 + 4*z**2. Calculate g(h).
1
Let v(w) = -w**2 - 2*w. Let d(g) = -g**3 - 11*g**2 - 13*g - 5. Let r(b) = -d(b) + 6*v(b). Suppose -7*o = 32 + 3. Determine r(o).
0
Let x(m) = m**2 + 2*m + 1. Let z(b) = 4*b - 44. Let n be z(5). Let j be (-10 + 3 - -3)/(n/6). Suppose -f = d + 6 - j, 0 = -3*f - 2*d - 14. Calculate x(f).
9
Let x(b) be the first derivative of -5*b - 231 - 1/4*b**4 - b**3 + 2*b**2. Give x(-4).
-5
Let w(t) = 9*t + 1. Let m(u) = 37*u + 32. Let k(o) = m(o) - 5*w(o). Calculate k(3).
3
Let n(o) = 2*o**2 - 6*o + 4. Let b be n(-2). Suppose 0 = 9*y - 12*y - b. Let t(l) = -l**2 - 9*l + 11. Give t(y).
19
Let u(g) = g**2 - 34*g - 65. Let d(b) = 3*b**2 - 96*b - 130. Let c(h) = 2*d(h) - 5*u(h). Determine c(19).
8
Suppose -2*v - 7*q + 11*q = -42, -v + 22 = -q. Let j(i) = -i + 25*i + 14 - v*i. What is j(-19)?
-5
Let o = -342 + 393. Suppose 71*m = 88*m - o. Let j(c) = c**2 - 4*c + 6. Determine j(m).
3
Let m(u) = -3*u**2 + 2*u - 1. Suppose 4*d - 12 = 0, 4*d = 2*z + 2*d + 822. Let i = z - -409. Calculate m(i).
-2
Let v(i) = -i + 2. Let q(r) be the second derivative of r**3/3 - 4*r**2 + 179*r. Let c(o) = 3*q(o) + 8*v(o). Calculate c(-8).
8
Suppose -25 = -5*a + 5*t, 2 = 5*a + t - 35. Let j(x) = -3 + 2*x - x - 4. Let g be j(a). Let w(b) = b**2 + b - 7. Give w(g).
-7
Let m(c) = 7*c**3 + 7*c + 7. Suppose -11*f - 214 + 203 = 0. Calculate m(f).
-7
Let j(d) = 69*d - 1461. Let p be j(21). Let k(b) = -b - 5 - 11 - 7 + 7 + b**3 + 12*b**2. What is k(p)?
-4
Let y(n) = -n**2 + 4*n + 26. Let a be y(7). Suppose a*m - 2*s = 3*m - 106, 4*m + 217 = -s. Let c = 58 + m. Let j(g) = -g**3 + 4*g**2 - 3*g - 3. What is j(c)?
-15
Let u = 9527 + -9513. Let j(a) = -2*a**2 + 27*a + 12. Determine j(u).
-2
Let v be (17 - 15)*(10/12 + (-2)/6). Let p(l) = -36*l**3 + l**2 + 2*l - 3. What is p(v)?
-36
Let y(f) be the third derivative of f**6/360 - f**5/120 - f**4/24 + 49*f**3/3 - 2*f**2 + f. Let o(l) be the first derivative of y(l). Determine o(-4).
19
Let v(j) be the third derivative of -j**4/24 - j**3/3 - 144*j**2. Let g(y) = 4*y + 17. Let p(c) = -g(c) - 3*v(c). Determine p(-7).
-4
Let y(c) = -c + 7. Let v(n) = -8. Let x(q) = 4*v(q) + 5*y(q). Suppose 3*k + 6 = 0, 0*h = -2*h - 3*k + 162. Suppose -h = -21*o - 7*o. What is x(o)?
-12
Let n(y) = -2*y**2 + 5*y + 3. Let z be 2/(4 + 76/(-16) - (-104)/96). What is n(z)?
-39
Let v(p) = -7*p - 84. Let r be ((-805)/92)/(55/88). Give v(r).
14
Let u(n) = -323 - 4*n - n + 358. Let q be u(7). Let b(g) = g**3 + g**2 + g + 6. Give b(q).
6
Suppose 17*u = 22*u - 505. Let y = 103 - u. Let z(q) = 8*q. Give z(y).
16
Let y(o) = -5*o**2 + 5*o - 25. Let t(q) = -7*q**2 + 10*q - 26. Let v(z) = -3*t(z) + 4*y(z). Determine v(10).
-22
Let v be (90/540)/((-2)/(-3)). Let h(i) be the second derivative of v*i**4 + 0 - i**2 + 1/3*i**3 + 16*i. Give h(-2).
6
Let f(i) be the second derivative of -i**5/20 + 13*i**4/12 - 5*i**3/3 + 4*i**2 - 1431*i. Calculate f(12).
32
Let k(x) = x**3 + 8*x**2 + 8*x + 7. Let g(c) = -1. Let o = -38 - -39. Let n(j) = o*k(j) - 3*g(j). Calculate n(-7).
3
Let j(b) be the second derivative of 2*b**2 + 0 + 25*b + 1/6*b**3. Let w(l) = 4*l + 13. Let r(m) = 21*j(m) - 6*w(m). Calculate r(4).
-6
Let u(j) = 4*j**2 - 16*j + 1. Let t(g) = -3*g**2 + 8*g. Let r(o) = -5*t(o) - 3*u(o). Let v(n) = 4*n**2 + 9*n - 4. Let p(d) = 3*r(d) - 2*v(d). Give p(-6).
-1
Let g(s) = -14*s - 13*s**2 - 6 + 8*s**2 - 17*s**3 + 18*s**3. Give g(7).
-6
Let q(l) = -337*l - 296*l + 698*l + 373 + 209. Determine q(-9).
-3
Suppose 0 = 2*u + 4, 9*g - 3*u = 6*g - 330. Let w = 105 + g. Let s(c) = -c**2 - 6*c + 3. Give s(w).
-4
Let t(s) be the second derivative of -69*s + 0 - 3*s**2 + 1/3*s**3. What is t(4)?
2
Let c be 3/(-1) - (-12 + 5). Let x(z) = 3 - 5*z - 5*z**2 - 1 + c*z**2 - 5. Let p be (9 - (15 - 7))*-2. Determine x(p).
3
Let b(h) = -47*h**2 + 54*h + 69. Let j(x) = -17*x**2 + 18*x + 22. Let m(z) = -4*b(z) + 11*j(z). Determine m(21).
29
Let x(c) be the first derivative of 11*c**2/2 + 28*c - 280. Calculate x(-3).
-5
Let x(k) = 5*k + 133. Let z(i) = -i - 67. Let w(l) = -x(l) - 2*z(l). Let b = 10 + -18. Determine w(b).
25
Suppose 51*x - 402 = -300. Let f(c) = -4*c**3 + c**2 - 4. Give f(x).
-32
Let m(i) be the third derivative of i**6/120 - i**5/12 + 5*i**3/3 - i**2 - 180*i. Give m(4).
-6
Let d(y) be the second derivative of y**3/3 + 9*y**2/2 - 7*y + 12. Let f(t) = 5*t + 20. Let n(g) = -9*d(g) + 4*f(g). Give n(-3).
-7
Let m(f) be the second derivative of 3/2*f**2 - 2 + 54*f + f**3. Suppose 4*d = 4 + 8. What is m(d)?
21
Let a(q) be the first derivative of q**5/60 + q**4/4 - q**3/3 + 2. Let p(z) be the third derivative of a(z). Suppose -121*d - 1554 = 122*d + 16*d. Give p(d).
-6
Let h(f) = 23 - 7 + 1224*f - 1231*f. What is h(3)?
-5
Let j(q) = -q + 23 + 5*q - 3*q - 4*q. Let l be j(5). Suppose 0 = l*v - 5*v. Let a(s) = s**3 + 13. What is a(v)?
13
Let t(u) = u**3 + 18*u**2 + 2*u + 39. Let o be t(-18). Let j(r) = -2*r**2 - 3 + 5 - r + o - 6. Calculate j(2).
-11
Let m(t) = -t**3 - 17*t**2 - 5*t - 28. Let i be m(-13). Let n = i + 620. Let r(b) = b**2 + 18*b - 23. Determine r(n).
-4
Let j(v) = v**3 - 30*v**2 + 3*v - 59. Let k be j(30). Let p(t) = 28 - 53 + 4*t + k. Give p(-4).
-10
Let z be (-6)/45 - (-112)/(-60). Let t(s) = s**3 + 4*s**2 + 2*s - 3. Let h be t(z). Let p(w) be the third derivative of w**4/6 - w**3/6 + 2*w**2. Give p(h).
3
Let f(x) = -x**3 - 6*x**2 + 3*x + 39. Let a(r) = -2*r**2 - 90*r - 92. Let z be a(-44). Determine f(z).
-5
Let u be 6*((-3)/10 + (-13)/390). Let a(l) be the third derivative of l**6/120 + l**5/12 + l**4/24 + l**3/6 - 14*l**2. Calculate a(u).
11
Suppose -2*n + 5 = i, 4*n - 17 = 2*i + 13. Let q(j) = -4*j**2 - 7 - j**3 - 34*j - 36*j + 4 + 75*j - 3. Calculate q(i).
-6
Suppose 4*c = c + 18. Suppose 10*b = 12*b - c. Suppose d = 5*h - 2*h + 26, b*h + 34 = 5*d. Let w(s) = -s**2 - 8*s + 9. Calculate w(h).
9
Let y be (14 - -5) + (-5)/(5/(-4)). Let m(a) = -3*a + y*a - 6*a + 22*a. Determine m(1).
36
Suppose -6*o + 995 = 1205. Let l(d) = d**2 + 36*d + 31. Give l(o).
-4
Let k(o) be the third derivative of -2*o**2 + 1/2*o**3 + 1/12*o**4 + 20*o + 0. Determine k(-2).
-1
Suppose 3*c + 15 - 5 = -17. Let f(g) = 19*g + 180. What is f(c)?
9
Let u(z) = -6*z + 291. Let v be u(27). Let b(x) = -7*x + 7 + 271*x**2 - 141*x**2 + 1 - v*x**2. Let m be (-2)/(-3) - (-16)/3. What is b(m)?
2
Let k = -2231 + 2233. Let f(t) be the first derivative of t**4/4 - t**3/3 - t**2 + 3*t - 4. Determine f(k).
3
Let g(l) = 224*l**3 + 19*l**2 - 5*l - 14. Let w(u) = 45*u**3 + 2*u**2 - u - 1. Let t(s) = -g(s) + 5*w(s). Let k(d) = -d + 16. Let r be k(7). Calculate t(r).
9
Let i(a) = -a - 2. Let l be (6 + -1)/(-5) + 4. Suppose m = -5*t - 19, l*m - 3*t + 11 = -2*m. Determine i(m).
2
Suppose 12 = -4*p - 20. Suppose 212*b - 3 = 209*b. Let y(f) = 4 - b + 14*f**2 - 15*f**2 - 6*f. What is y(p)?
-13
Let m(u) = 4*u - 10. Let a(w) = -w. Let q(g) = 4*a(g) - m(g). Let v = -16289 + 16292. What is q(v)?
-14
Suppose x - 17 = 3*s, s + 6 = 1. Let b(c) = 4*c**2 + 598*c - 5*c**x - 602*c - 4. Calculate b(-5).
-9
Suppose -232*y - 1681 = 871. Let r(k) = -15*k - 161. Determine r(y).
4
Suppose -4*t - 9 = -5*q - 0*t, 0 = -5*q + 3*t + 13. Let o(g) = -23 + q*g + g + 16*g**2 + 27 - 17*g**2. Calculate o(9).
-23
Let s(r) = 4*r - 61. Let m = -2748 - -2758. What is s(m)?
-21
Let u = -5195 + 5198. Let c(a) be the third derivative of 13*a**2 - 1/6*a**u + 0 + 1/8*a**4 + 0*a + 1/60*a**5. Determine c(-4).
3
Let c(y) be the third derivative of -y**4/24 - 2*y**3 + 1225*y**2. What is c(-6)?
-6
Let a(w) be the second derivative of w**5/20 + 5*w**4/6 + 7*w**3/3 + 19*w**2/2 - w + 461. Calculate a(-9).
-26
Let w(h) = 3691*h + 33211. Let g be w(-9). Let b(f) be the third derivative of -f**6/120 - 3*f**5/20 - f**4/4 - 7*f**3/6 - f**2. Give b(g).
-23
Let k(p) = 7*p**3. Let z(u) = -2*u**2 + 26*u + 29. Let a be 2/7 - 52/(-14). Suppose 0 = -2*i - i + 4*w + 54, a*w = -2*i + 16. Let x be z(i). Give k(x).
7
Let q(p) = -88*p - 1. Let z(y) = -9*y. Let v(j) = -q(j) + 8*z(j). Suppose 0 = -2*o + 2, 0*l + l + 4*o - 5 = 0. Give v(l).
17
Let j(v) = -v**3 + 15*v**2 + 33*v + 10. Let g = -3504 + 3521. What is j(g)?
-7
Suppose 225*h - 9 = 231*h - 21. Let g(x
|
{
"pile_set_name": "DM Mathematics"
}
|
e ((-2)/9)/(1298/(-99) + 13). Solve -2*u = -4*u - q for u.
-1
Let t(v) = v**3 - 5*v**2 + 5*v + 1. Let c be t(4). Let j(i) = 2*i - 10. Let f be j(9). Suppose 0 = -3*m + f - 2. Solve m*z = c*z - 12 for z.
4
Suppose 10 = -5*g + 305. Let d = g + -47. Solve -2*m = m - d for m.
4
Suppose q - 32 = -3*q - 3*u, 12 = 3*u. Solve -q*t = -4*t for t.
0
Let c = 965 - 963. Let i be (1 - -2)/((-3)/(-2)). Solve -y = -c - i for y.
4
Suppose -2*i = -4*j - 6, 0 = j - i - 44 + 47. Let u be (3 - 0)/((-1)/(-1)). Suppose 0*w + w + a - 2 = 0, u*w - a - 18 = 0. Solve j*g + w = g for g.
5
Let c be 2*(-1)/2*-4. Suppose 68 = 5*x - 2*h, -16*x + 16 = -15*x - h. Let g be 3/(x/c) + 2. Solve -3*s - 9 = g for s.
-4
Suppose -170 = -27*s + 19. Solve 21 - 42 = s*i for i.
-3
Suppose -3*f + 15 = 0, -f - 2*f + 351 = -3*n. Let v = n + 113. Solve t + 0 = v for t.
1
Let x = -5619 + 5641. Let l = -4 - -6. Solve -5*g + l = x for g.
-4
Let h be (4/6)/((-3)/(-9)). Let w(k) = k + 14. Let x be w(4). Suppose 2*m = -4*m + x. Solve -m = -g + h for g.
5
Suppose 4 = d - 3. Let p(l) = 2*l**2 - 9*l + 5. Let f be p(6). Let c = f - 18. Solve -c*a - 13 = d for a.
-4
Let j be 9/(9/2)*2. Let t be -1 + 2 - j/4. Solve 0*i + 5*i + 10 = t for i.
-2
Let g = 530 - 523. Solve -4*t = -5 - g for t.
3
Suppose 10*g - 12*g = 8. Let m be (-7)/(-35) - g/5. Solve 3 = b - m for b.
4
Suppose 0 = -8*q + 6*q + 8. Let j = 0 + 2. Let l(b) = -b**2 - 3*b + 10. Let s be l(-5). Solve j*x - q*x = s for x.
0
Let w(z) = z**2 - 7*z - 28. Let p be w(10). Solve -1 = p*m + 1 for m.
-1
Suppose 6*t - 40 = t. Let j = 13 - t. Suppose 7*d - j = 2*d. Solve v - 2 + d = 0 for v.
1
Let h be 1/(-1) + 2 + 0. Suppose 4*p - 98 = -3*n, -n - n + 4*p = -52. Let v = n - 28. Solve v*c + 5 = -h for c.
-3
Let p(r) = -3*r**3 + r**2 + r + 1. Suppose q = 2*q + 1. Let j be p(q). Suppose 0 = 5*a - j*a. Solve -g = 5 - a for g.
-5
Suppose -5*c = 75 + 60. Let x = -27 - c. Solve -l - 3*l + 8 = x for l.
2
Let c = -56 - -68. Suppose c = 4*u, -16 = -5*a + u + 1. Solve a*p = -p for p.
0
Let j(g) = g**2 + g. Let l be ((-5)/10)/((-2)/(-4)). Let n be j(l). Suppose 3*a = -2*o + 8, n*o - 9 = o - 5*a. Solve -5 = -2*b - o for b.
2
Suppose -2*i = -4*l + 134 + 76, -258 = -5*l + 4*i. Suppose -9*k + 54 - l = 0. Solve k*o + 4*o = 0 for o.
0
Let l = 171 - 180. Suppose -2*a - 10 = 4. Let c = a - l. Solve 6*t - c*t - 20 = 0 for t.
5
Suppose -34*h + 47 = -21. Solve -5*w - h*w + 7 = 0 for w.
1
Suppose 0 = 3*y + 2*w - 1, -4*w + 4 + 4 = 0. Let f = y - -4. Solve -t + f - 1 = 0 for t.
2
Let a(x) = x**3 - 3*x**2 - 2. Let v be a(4). Suppose -4*p = -v + 6. Suppose -y = p*y. Solve 6 = -y*c + 2*c for c.
3
Suppose 5*l - 12 = 3*l. Solve -4*o = 2*o - l for o.
1
Let g(b) = -3*b**2 - 12*b + 17. Let k be g(-5). Solve k*i + 6 = 5*i for i.
2
Let j be (-4)/(16/12) - (28 + 0). Let f = 37 + j. Solve -15 = f*u - u for u.
-3
Let q(k) = -k**2 + 6*k - 3. Let y be q(5). Suppose -1 = 5*p - 11, -p = -l - 2. Suppose l = y*w - 26 - 6. Solve 2*s - 6*s = w for s.
-4
Let u(l) = 2*l - 1. Let d be u(1). Let h(i) = 18 + 15 - 33 + 10*i. Let t be h(d). Solve 6*c - t = c for c.
2
Let p be (0/2)/5 - -8. Let v be (-24)/9*(-12)/p. Solve v*o + o = 0 for o.
0
Let o(a) = -a**3 + 23*a**2 + 24*a + 3. Let p be o(24). Solve -p*w + 7*w = 12 for w.
3
Let r be (4 - 10) + 5 + 10. Solve -4*y - 17 = -r for y.
-2
Let r be (-6)/2 - (-2 - (-30)/6). Let h(s) = -2*s**3 - 11*s**2 + 8*s + 13. Let x be h(r). Solve 3*w - 2*w = x for w.
1
Let u be 6/(2 - 1/1). Let f be (-2)/u*(-6 + 12). Let b(y) = 2*y**2 + 5*y + 2. Let l be b(f). Solve -j - 4*j - 5 = l for j.
-1
Suppose -7 = -5*b + h - 2, 4*b + 5 = -h. Solve b = 5*i - 25 for i.
5
Suppose 3*b - 22 = 3*v + 8, 5 = 4*v + 5*b. Let l be (2 + 0)*(-5)/v. Solve -h = h - l for h.
1
Let b be (-5)/((-10)/8) - -6. Suppose 2*h + b = 2, -5*c = -2*h - 58. Solve -9*j = -4*j - c for j.
2
Suppose -3*z = 0, -8*d - 2*z = -4*d + 3*z. Let u be (0 - 1)/(4/(-20)). Solve d = r + u for r.
-5
Suppose 4*p + 3*n - 28 = 0, -4*p + 24 = -51*n + 53*n. Solve p = -4*k - 8 for k.
-3
Let s(f) = 2*f**3 - 17*f**2 + 7*f + 9. Let j be s(8). Solve 31*d - j = 32*d for d.
-1
Suppose -51 - 29 = -4*k. Suppose 2*a = -5*n + 3*a + 12, -n - 2*a = 2. Suppose -n*j = 3*j - k. Solve -5*z = -j*z for z.
0
Let i = -67 + 67. Suppose 2*n - 2*l = 6 + 2, i = 3*l + 12. Solve n*m = -m - 3 for m.
-3
Let a(x) = -4*x - 2. Let i be a(-3). Let q = i - 12. Let f = 5 + q. Solve 0 = r + f*r - 4 for r.
1
Let a(l) = -5*l - 6. Let u be a(-3). Suppose -u*f + 11*f = 4. Solve -4*w + f*w = 0 for w.
0
Suppose 191*c = 193*c - 6. Solve -93*p - c = -92*p for p.
-3
Let i be (0 - 5*-1)/1. Let c be 4 - (0 - 3 - -7). Let u(n) = n**3 - n + 10. Let p be u(c). Solve 5 + p = -i*d for d.
-3
Suppose -104 = 3*b - 5*m, 67 = 4*b - 6*b + m. Let y = b + 53. Let h = y + 0. Solve 0*i = 5*i + h for i.
-4
Suppose 0 = -2*a - a + 60. Let d = -12 + a. Solve 2*c + d = 18 for c.
5
Let m(x) = 3*x**2 - 8*x + 10. Let i be m(2). Solve 7*c - 13*c = -i for c.
1
Let c(d) = d + 9. Suppose 2*w = -w - 4*z + 30, -5*w + 3*z + 21 = 0. Let a be c(w). Solve -a = -6*x + x for x.
3
Let s be (2/6 + (-7)/21)/(-2). Solve s = -6*v - 15 - 15 for v.
-5
Suppose 156*z = 137*z + 1425. Solve o + 72 = z for o.
3
Let t be -3 - (-28)/21*9. Solve b = 4*b - t for b.
3
Let o = -267 + 280. Solve 5*v - 7 - o = 0 for v.
4
Suppose 2*c - 16 = 9*q - 7*q, 61 = 5*c + 2*q. Solve -9 = 2*k - c for k.
1
Let g(f) = -9*f - 3. Let r be g(-1). Suppose y - 18 = -5*s - 6, 0 = -y + 4*s - r. Solve -y*b - 16 = 2*b for b.
-4
Suppose 80*g - 184 = 72*g. Solve -g*b = -21*b for b.
0
Let w be ((-6)/7)/3 + (-18172)/196. Let y = 102 + w. Solve -2*p + y = p for p.
3
Suppose -6 = -4*p - x + 7, -3*p + x = -8. Let k be ((-114)/(-95))/((-2)/5). Let d be k - (-3 - 2) - -2. Solve p*a - d = 11 for a.
5
Let g(y) = y**2 - 35*y + 71. Let j be g(33). Let x(p) = p + 5. Let u be x(-5). Solve u*n + j*n = 0 for n.
0
Let n(u) = u - 8. Let g be n(13). Suppose -r - g = 3*f, -2*f + 6*f - 25 = 5*r. Suppose 3*o - 6 = -f. Solve -m - o = -3*m for m.
1
Let n = 7 + 1. Suppose h - n = -3*h + 2*z, 3 = -5*h - 4*z. Solve -2*b - h - 1 = 0 for b.
-1
Let h = -432 + 527. Solve h = 4*g + 79 for g.
4
Let v = -139 - -109. Let n be (-150)/(-5) - (-1 - 1). Let x = v + n. Solve -x*h = -3*h - 3 for h.
-3
Let u(y) = 0*y**3 + 19*y**2 - 6 - 2*y**3 - 29*y**2 + 3*y**3 - 10*y. Let h be u(11). Solve 0*c = h*c for c.
0
Suppose -5*c + 56 = 9*c. Solve 8 = 3*t - c for t.
4
Suppose -4*h - 5*b + 2*b - 1164 = 0, -2*h + 4*b = 604. Let z be (8/14)/(7*(-12)/h). Solve -z*x = -0*x - 4 for x.
2
Let l = -8 - -4. Let h(d) = d**3 + 6*d**2 + 6*d. Let x be h(l). Suppose -2*b - 2*b + x = 0. Solve b*t - 1 = 7 for t.
4
Suppose -b + 82 = 14*k - 12*k, 0 = b - 2. Solve 5*a - 13*a = k for a.
-5
Suppose -1 = 2*s - 25. Suppose 0 = 2*q + 4*n - 4, 2*q - 4 = -n - n. Suppose 0*u = 3*u + q*z + 10, -4*u - 25 = 5*z. Solve u = 3*o + o - s for o.
3
Suppose -3*p - 28 = -28. Solve p = h + 4*h for h.
0
Let i(n) = -13*n**2 - 80*n - 7. Let q be i(-6). Solve 0*r + 5*r = -q for r.
-1
Suppose -4*c = t - 19, -4*t + 2*t = 2*c - 14. Solve -t*n = n - 4 for n.
1
Let n(p) = p**2 - 7*p + 6. Let z be (-9)/(6*4/(-16)). Let s be n(z). Let x = 4 + s. Solve 4*v + x = -16 for v.
-5
Let t = 591 + -589. Suppose -f = 2*f + h + 4, 3*h + 12 = -5*f. Solve t*l + f*l - 10 = 0 for l.
5
Let r be (-8)/6*-15*(-3)/(-5). Let g(y) = -y + 1. Let f be g(-3). Solve r = -f*q + q for q.
-4
Let q(z) = 15*z - 103. Let l be q(8). Solve -3 = -l*i + 16*i for i.
3
Suppose -4 = -5*o + 3*o + 5*z, o - 2*z - 4 = 0. Suppose 2*w = o*w. Solve w*r = 3*r for r.
0
Let d(l) = -l**2 - 4*l - 3. Let m be (-2)/(-5)*(-3 + 13). Let k(t) = -t**3 + 3*t**2 + 4*t - 3. Let f be k(m). Let s be d(f). Solve s = b + b for b.
0
Suppose 104 = 11*b + 5. Solve -b*m = -5*m - 20 for m.
5
Let o(l) = -l**2 + 4*l + 14. Let m be -2 + -6 + (1 - -2). Let b be 2 + -5 + (4 - m). Let s be o(b). Solve h - 6 = -s*h for h.
2
Let z = 8 + -2. Suppose -4*t = -t - z. Solve -q = -t - 2 for q.
4
Suppose 1 = -8*h + 17. Solve -5*t + 17 - h = 0 for t.
3
Let u(k) = -2*k**2 + 4*k - 3. Let z be u(2). Let s be -2 - z - 0/(-2). Let v(h) = -3*h - 12. Let q be v(-5). Solve -m + s = q for m.
-2
Let a = -1407 + 1407. Solve a = 7*r - 14*r for r.
0
Suppose -7*i + 11 = -24. Solve 0 = -5*t - i - 10 for t.
-3
Let x(k) = 96*k - 952. Let s be x(10). Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
5*p**2 + 84*p + 7. Let m be f(28). Solve -h - v = 1, 3*h + 17 = m*h - 3*v for h.
2
Let y(s) = -14*s - 109. Let b be y(-19). Let i = b + -155. Solve a = -a - 6, -2*a - 4 = i*z for z.
1
Let f = -30 + 33. Let z = 12 - 12. Suppose -n + 10 - 8 = z. Solve a - f*g = -n*a + 3, 5*a = 2*g + 17 for a.
5
Suppose -b + 2 = h, 3*b - 8*b + 3 = 4*h. Let j be 6 - 0 - -6*h/(-14). Solve 0 = -4*y - j*x - 27, 2*x = 4*y - 0*y + 2 for y.
-3
Let l = 5759 - 5759. Solve -4*u + 12 = 0, 3*f + 6 = u - l for f.
-1
Let z be 1*(3 - 5) - -14. Let x(u) = 8*u - 92. Let w be x(z). Solve -l + g - w = 0, -4*l + 0*g - 22 = 2*g for l.
-5
Let p be 2/(2/(-410)*(-20)/8). Let a = p + -156. Suppose 2*z - 3*z + 8 = 3*t, 2*t = -z + 9. Solve -3*x = -g + z, -a*x - 3*g - 23 = -3*x for x.
-4
Suppose -4*o + 25 = -g, 2*o - 193*g + 195*g = 0. Solve p - o*q - 11 = 0, 0 = 2*p - 5*q - 13 + 6 for p.
-4
Let y(b) = b**3 + 6*b**2 - 5*b - 7. Let v be y(-6). Solve -v = -5*f - 2*x, 5*f - 26 = -4*x - 5 for f.
5
Let t(h) = -26*h + 112. Let s be t(11). Let q = s - -191. Solve -2*k = -4*d + 24, d - 4*d = -k - q for d.
5
Let w be 8/14 - (5 + ((-900)/14)/10). Solve -5*y - 8*s = -6*s - 10, w*s = 0 for y.
2
Let o(v) = 4*v + 6. Let z(t) = 8*t + 415. Let m be z(-52). Let j be o(m). Solve -n + j*x + 4 = -5*n, x = n + 1 for n.
-1
Let w = 624 + -622. Suppose -5*z + 2*z = -w*z. Solve -2*k + 5*k = -5*n, z = 5*k + 5*n for k.
0
Let g be (9/(-6))/(11661/650 + -18). Solve -g*f + 5 = -26*f - 2*z, -1 = f - 2*z for f.
-3
Suppose -2*z - 2*k = -24, -k = 5*z - 2*k - 90. Suppose u - 3*j - 3 = 6, -12 = 4*j. Suppose u = -c - 15 + z. Solve 2*i + c*t - 14 = 0, i - 4*t + 3 + 0 = 0 for i.
5
Suppose 505 = 29*g + 360. Solve 17 = g*t + 4*j - 3, 20 = 5*t + 2*j for t.
4
Let u(m) = 15*m**2 + 12*m + 1. Let j be 0/(-2) + -3*12/36. Let q be u(j). Solve 2*w = -w + 3*b - 3, q*w - 5*b = -4 for w.
-1
Suppose -5*y = -15, 0 = -o - 3*y + 7*y - 17. Let s be (110/(-77))/(o/14). Solve 3*b - 2 = n - 6, 5*b + 18 = -s*n for b.
-2
Suppose -612 = -104*m - 49*m. Solve -4*p - 4 = 0, m*p + 25 = -5*r + 16 for r.
-1
Let u(l) = -107*l - 854. Let d be u(-8). Solve 4*n = d*r - 16, n - 4 + 8 = 4*r for r.
0
Let s be (-44)/(-2 - 0/(-1)). Suppose p - 2*r + 8 = 0, 4*p - 5*r = 5 - s. Let u be (-1)/((-3)/(12/4)). Solve -3*l = -3*m - 3, u = 3*m - l + p*l for m.
0
Let b(i) = i - 4. Let w = -309 - -313. Let g be b(w). Solve 0*j = 2*h - 2*j + 8, g = 2*h - 4*j + 12 for h.
-2
Suppose -2*g - 8 = -4*a - 3*g + 5*g, 0 = 3*g. Solve -4*y = 5*i - 3, -5 + a = 5*i + y for i.
-1
Let o = 135 - 129. Let v be (-2 - (-42)/12)*20/o. Solve q = -4*n, v*q = q - 3*n - 13 for q.
-4
Suppose 0 = 2*l + k - 8, -l + 10*k - 13*k + 4 = 0. Solve -l*c - 2*z = -4, -z + 4 = 4*c + 4*z for c.
1
Let s be 21/(945/36) + 54/45. Solve s*f + 40 = 3*c + 39, 2*c - 2*f - 4 = 0 for c.
-3
Suppose 1008 = 188*s - 3504. Solve -5*x = 3*d + 4, -4*d - 21*x = -s*x + 15 for d.
-3
Let v(y) = -y**2 - 4*y. Let s be v(-3). Suppose -12*g = -2*g - 543 + 543. Solve g*x - 2 = x - 2*k, 0 = s*x - 3*k for x.
2
Let h(f) = 2*f**2 - 2*f + 2. Suppose 9*l - 10*l + z = 3, 4*z = -5*l - 6. Let c be h(l). Solve 0 = 5*u - 3*n + 28, -n = 3*u + c - 0 for u.
-5
Let t(z) = -z**2 + 187*z + 766. Let o be t(-4). Solve o*m = 7*m + k - 11, -4*m + 5 = -3*k for m.
2
Suppose 10*y - 114 = -34. Suppose 0 = -y*b + 15 + 17. Solve -5*c - s - 21 = -0*c, b*c = -s - 16 for c.
-5
Let q(o) = -9*o - 76. Let s be q(-9). Suppose 3*u - 17 = -4*p, s*p - 9 = -4*u + 13. Solve -3*n + 4*y = 1, y + 3*y = -u*n - 17 for n.
-3
Suppose 5*h - 2*t - 55 = 0, 3*t = -h - h + 3. Suppose -h*j + 6*j + 6 = 0. Solve -j*z + 5*i - 2 = 3, 1 = -i for z.
-5
Suppose 158*h - 320 = 78*h. Solve 12*l - 16*l = -3*o - h, o - 5*l = 6 for o.
-4
Let x be (4 + -11 + 6)*0*-1. Suppose 7*l - 10 - 32 = x. Solve -5*k + l = 4*i, 0 = 3*k + k + 2*i - 6 for k.
2
Let a = -90 - -95. Suppose 4*o = 5*x + 28 - 27, a*x = 5*o - 5. Solve -o*m + 3*b + 14 = 0, -5*m - 6 = -4*b - 24 for m.
2
Let t = 24030 - 24028. Solve t*j + 15*z - 6 = 10*z, 6 = 3*z for j.
-2
Let u = -91 - 94. Let c = -177 - u. Solve 0 = -n - 2*w - 11, -c = 4*n - 3*n + w for n.
-5
Suppose -30*z + 787 = -473. Let h = z - 40. Solve 0*t - 3*y + 3 = -h*t, -4*t + 5*y = 7 for t.
-3
Suppose 0 = -3*f + 18, 2*f - 70 = -2*h + f. Solve -3*o + 3*p + 27 = 0, -h*o + 28*o = -5*p - 40 for o.
5
Let g be (65/(-15))/(10/12 + -1). Suppose -2*w + 5*w = -c + 12, 0 = -4*w + 2*c + g. Solve w*v - 4 = -4*h, 3*v = -h + v + 1 for h.
1
Suppose -d = 3*f + 1 - 6, -f = 2*d - 10. Let c be 3*(9 - d - 3). Solve 0 = -c*b + b + 4, 0 = -k + 3*b - 11 for k.
-5
Let y(b) = 811*b - 2431. Let f be y(3). Solve 23*h - f*v = 27*h - 14, -5*v = 3*h - 7 for h.
4
Suppose -j - 2*j - w = -245, 4*j = 4*w + 300. Let v = j - 78. Suppose -4 = -3*d - v*k + 9, -k = 2*d - 9. Solve 14 = 3*y - 5*t, -y - 3*y + d*t + 12 = 0 for y.
-2
Let k(z) = -z**2 + 4*z + 14. Let q be k(5). Suppose -2*n - 5*x + 9 = -3*n, -3*n - q = 3*x. Let v = n + 5. Solve 30 = 4*d + 5*r, -3 = -r - v for d.
5
Let o(f) = 2*f**3 + 8*f + 0*f**2 - 8*f**2 + 12 - f**3 + 2*f**2 - 2*f**3. Let g be o(-7). Solve 2*u - 2 = r + u, -u = g*r - 2 for r.
0
Let b(l) = 4*l**2 - 3*l + 1. Let j be b(1). Solve 4*h = 5*c + 4, h + c + 6 = -j for h.
-4
Suppose -1011 = -148*n + 765. Solve 53*x + n = -u + 55*x, -2*u - 4 = x for u.
-4
Suppose -168 = -29*s + 17*s. Let r(x) = -19*x + 285. Let t be r(s). Solve -31 = -4*m - 5*q, q - t = -2*m - 2*m for m.
4
Let b be -6*3/6*-19. Suppose -4*m - b = -253. Let p = -46 + m. Solve 0*c - 12 = -c + 3*v, v = -p*c - 14 for c.
-3
Let f(w) = -493*w**3 - 7*w**2 - 4*w + 1. Let a be f(-1). Suppose a = -9*q + 527. Solve 3*i + q*b + 1 = -b, 5*i - 25 = 5*b for i.
3
Let y(l) = 3*l**2 + 6 - 17*l - 5 - 1. Let u be y(8). Let w = -49 + u. Solve 3*g = 2*r + w, g = -4*g - 3*r - 20 for g.
-1
Let s(d) = 26*d**2 + 46*d - 12. Let y be s(-3). Solve n + 4*r + 22 = 0, y - 87 = 4*n - r for n.
-2
Suppose 0 = u + 4*n - 126, n - 378 = -3*u - 3*n. Suppose 0 = -z + 2*z + 123. Let f = u + z. Solve -5*b - 2*a = -14, -4*b - f*a + 6 = -1 for b.
4
Suppose 22*i - 4*p + 40 = 26*i, 0 = -i - 3*p. Suppose 8 = -i*a + 17*a. Solve -5*h = -4*u + 12, 2*h - 3*h + a*u = -4 for h.
-4
Let s = 381 - 313. Let x be (4/6)/(s/1326). Solve -4*z + z = 4*u + x, -z - 4*u = 7 for z.
-3
Let b = 18 + 8. Let k = 26 - b. Suppose -r = -3, k = -q - r - 2*r + 13. Solve 3*x + n = 3*n - 12, -4 = x + q*n for x.
-4
Suppose 0 = -4*c + 5*c - w - 4, -c + 1 = 2*w. Let a = -26 - -47. Let t be a*-1*(-4)/12. Solve -s + 18 = -3*q, q = c*s - 7 - t for s.
3
Suppose -6 = -q - 0. Let o = 738 - 730. Suppose 0 = -2*t + o*b - 4*b + q, -9 = -3*t + 5*b. Solve 0*r - 5*m = -4*r + 40, t*m = 3*r - 27 for r.
5
Let l be (1 - 6/3)*-4. Suppose -10*q - 78 = -12*q. Suppose q*t - 284 = -89. Solve -5*c + 15 = 4*g - 13, -t*g = -l*c + 6 for c.
4
Let f be 13 + (-19)/(209/140) + (-57)/(-33). Solve -2*v = -2*y + 3*y, -6 = -2*v + f*y for v.
1
Let m = -39581 + 39593. Solve 12 = 5*z - 74*i + 77*i, 3*z + 3*i = m for z.
0
Let z be 11 - -1 - ((-2 - 1) + -2). Suppose -30*n - z*n + 752 = 0. Solve -2*w - 4*y = 0, -2*w + 4*w - 4*y + n = 0 for w.
-4
Let i(y) = -47*y - 45. Let h be i(-1). Solve -3*v = -11*k + 16*k + 7, 0 = -4*k + h*v + 12 for k.
1
Suppose 0 = 6*g - 0 - 768. Suppose -648 = -20*k - g. Solve -c + 28 = -5*w, 2*w + 2*w + k = 2*c for c.
3
Let f(a) = a**3 - 14*a**2 + 58*a - 4. Let p be f(8). Suppose 208 - p = 6*q. Solve -3*s + 3*v = v - q, 18 = 2*s - 2*v for s.
4
Let a(f) = f**3 - 4*f**2 - 4*f - 3. Let r be a(5). Let q = -35 - -302. Let c = q - 262. Solve -c*d - 19 = r*n, 4*d = d - n - 12 for d.
-5
Suppose -2*p + 744 = -8*p. Let j = p - -127. Solve -3*q - j = -2*n, 5*q - 4*n + 2 = -1 for q.
-3
Suppose -4*y + 5*o = -2979, o = -5*y - o + 3765. Let i = y - 749. Solve -k = -5*r - 3*k - i, -2*r + 5*k = 24 for r.
-2
Suppose -8 = -201*c + 194*c + 188. Solve -16 + c = -f - 3*x, -x - 4 = 3*f for f.
0
Suppose 5888 = 35*j - 27*j. Let g = j + -711. Solve 0 = 5*w + g, -5*l - 4*w - 13 = 2 for l.
1
Let l(v) = -v**3 - 3*v**2 + 5*v - 10. Let k(w) = -w**2 - 24*w - 113. Let q be k(-18). Let o be l(q). Solve 4*a = 5*f + 7, -f + 2 - o = 5*a for a.
-2
Suppose 5*f + 10 + 50 = 5*m, -f = 5*m - 78. Let b be ((-16)/12)/((-2)/m). Let n be (5 + 150/(-18))*(-12)/b. Solve -2*d = -n*j + 8, 5*j - 10 = 4*d - 0*d for j.
2
Let g(f) = -132*f + 5825. Let j be g(44). Solve 2 = 3*z + 2*
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{
"pile_set_name": "DM Mathematics"
}
|
for g.
3
Let a = 1557 + -1554. Solve 4*r + a*o + 2 = 30, -r - o + 8 = 0 for r.
4
Suppose -73*p = -69*p - 112. Suppose -p + 33 = j. Solve x = -x + h - 7, 0 = -j*x - h - 21 for x.
-4
Suppose 139 - 7 = 22*l. Solve 15 = p - 4*d, -d - l = 8*p - 6*p for p.
-1
Suppose -6*d + d = 4*b, 4*b = -4*d. Solve 4*l - m - 12 = 0, -2*l + 2*m = -d*m - 6 for l.
3
Let b(t) = -t - 7. Let c be b(-7). Suppose -3*i + 4 + 11 = c. Solve g + 26 = 3*g - i*y, -2*y - 17 = -3*g for g.
3
Suppose 2*j + 13 = z, z - 7*j = -2*j + 28. Solve 25 = -5*r + 5*d, -19 = -z*r - 4*d + 1 for r.
0
Let t(d) = -3*d - 12. Let z be t(-5). Suppose -7 = -2*g - z. Suppose g*x + 4 - 8 = 0. Solve -3*v - 10 = -4*v - x*k, -2*v + 5 = -k for v.
4
Suppose 32 = 3*g - 10. Suppose -7*m + 112 = 406. Let l be (-4)/g - 138/m. Solve k - 4*p - 3 = 0, -l*p + 1 = k + 5 for k.
-1
Let t(g) = -g**2 + 6*g. Let u be t(5). Suppose 3*l + u - 14 = 0. Solve 0 = 4*w - 4, -l*i - 2 = -w - 4 for i.
1
Let y = 2 - -2. Suppose y*m - 124 = -3*u, -m + 4*u + 62 = m. Solve 8 = -l - 2*i, -5*l - 4*i - m = -9 for l.
-2
Let l = -4 + 6. Let m(h) = 2*h**2 - h - 1. Suppose -2*z + 1 = -1. Let o be m(z). Solve -2 = -2*f + l*i + 2, -5*f + 3*i + 12 = o for f.
3
Let y = -40 - -68. Let w(z) be the third derivative of -z**5/30 + 7*z**4/24 + 5*z**3/2 + 24*z**2 - z. Let o be w(5). Solve 3*s - 4*j = -y, o*s - s = j for s.
-4
Suppose -2*h = 5*t - 23 + 9, -3*t = 2*h - 14. Suppose 5*k = -4*x + 67, h*k - 2*k = -x + 13. Solve 2*p + 2*p = -n - x, 0 = 4*p - 2*n + 24 for p.
-5
Suppose k + 3*k - 1 = -u, 0 = -5*u + 3*k - 64. Let r = u - -16. Let w(s) = -s**2 - 4*s. Let g be w(-3). Solve 4 = 2*v - 0, -g*l - r*v + 1 = 0 for l.
-3
Let j = 5 - 3. Solve j*v - 8 = 0, -v = -3*n - 8 - 11 for n.
-5
Let g = -619 - -622. Solve 3*m + g*c = -6, 13*c - 16*c = 3 for m.
-1
Suppose i = -3*j + 5, 4*i = 3*j - 7 - 18. Suppose -y - 3*r = -5*r - 9, 4*y + 8 = -j*r. Let d be 0 - y - (0 - 2). Solve 4*z + p = -9, -4*z + 2 = -p + d for z.
-1
Let v be 0 - 1/4 - (-1)/4. Suppose 0*x = -3*x + 5*o + 31, 4*x + 4*o = -12. Suppose x*f = -3*f. Solve 0 = 5*q + 3*n + 4 - f, -4*n + 8 = v for q.
-2
Let q be (-20)/5 + 1*12. Let a be (-2)/(1 + -5)*0. Solve -9 = -3*f, -n - 3*f + q = -a*n for n.
-1
Let t(h) = -3*h + 2. Let f be t(-5). Suppose j - 2*j - 8 = -2*a, 5*a + 5*j = 20. Let n = f + a. Solve -2*i - o = 9, 2*i + 5*o + n = -0*i for i.
-3
Let h be 102/(-170)*20/(-3). Solve 5*m - 19 = -h*q + 4*m, -4*q = -m - 21 for q.
5
Let v be 5 + 3 + -7 + 5. Solve -l - 2*x = -5, 4*x = 5*l + v*x - 1 for l.
-1
Let x be (-6)/(-10) - 1040/25. Let o = x - -57. Solve 3*u - 28 = -4*z, -o = 2*z + 5*u - 44 for z.
4
Suppose 2*r - 8 = 2*a, 4*r - 5*a - 11 = -6*a. Solve -r*f + 5*d - 17 = -0*f, -3*f + 15 = 3*d for f.
1
Let x = 427 - 409. Solve b - x = -2*w - 2*b, 0 = -2*w - 2*b + 14 for w.
3
Suppose 3*u - b = 2, -7*b = 2*u - 3*b - 6. Suppose h = 19 - u. Solve 2*j - 3*y = -7*y + h, -4*y = -j - 21 for j.
-1
Let w(f) = f. Let d be w(0). Suppose -g + p - 4*p = -16, -p + 4 = d. Solve -g*l = -2*m + 6, -l + 5 = 2*m - 6 for l.
1
Let r = 20 + -34. Let w(q) = q + 34. Let a be w(r). Solve 3*j = -4*b - 15, 2*b - 4*j = 6*b + a for b.
0
Suppose -4*p + 10 = 30. Let f be ((-10)/(-4))/p*0/7. Solve f*l - 10 = 4*r - 2*l, -5*l - 7 = -2*r for r.
-4
Let f be 3 + (4/(-2))/2. Let x(i) = -3*i**3 - 1 + 23*i**2 - 24*i**f + 0*i - 2*i. Let p be x(-1). Solve 0 = 2*t + k - 1, 4*k - 2 = -p*t - 3 for t.
1
Let m(h) be the third derivative of -h**5/10 - h**4/12 + h**3/3 - 4*h**2. Let k be m(-2). Let q = -12 - k. Solve q*o + r = 2*o + 11, 3*o - 17 = r for o.
4
Let o(r) = 2*r**2 + 14*r + 3. Let x be o(-7). Let i = -1 + 5. Solve i*p - 3*m = -p, -p = x*m + 18 for p.
-3
Let f(o) = -o**3 + o**2 + 2*o + 4. Let c be f(0). Suppose -6*m - 1 = -4*p - 3*m, 26 = 4*p + 2*m. Solve -4*d + 8 = c*a, 0*a - p*d = -3*a - 22 for a.
-2
Let j(f) = -f**2 + 4*f. Let q be j(4). Suppose 0 = 2*k + 4, 5*n + q*k + 4 = 3*k. Let w be (-2)/4*20/n. Solve 35 = 4*g - 9*g + 5*s, -2*g - w*s = -14 for g.
-3
Suppose -2 = 17*f - 19*f. Suppose h - 5 = 0, -4 + f = -4*l + h. Solve 3 = 3*n + 2*p, l*p = -2*n - 0*n for n.
3
Let i(a) = a**3 - 3*a**2 + 4*a - 1. Let t be i(2). Solve -4*p + 3*m + 8 = 0, -t*p = -4*m + 2*m - 7 for p.
5
Let c(q) = -q**2 - 4*q - 3. Let m be c(-2). Let k(l) = 4*l**2 - 2*l + 2. Let f be k(m). Solve -z - 6 = -2*y + f*z, -3*z + 4 = -5*y for y.
-2
Let b = -18 - -9. Let x(u) = -u - 7. Let j be x(b). Solve 2 = -j*q, -4*h - 8 = q + 1 for h.
-2
Let b = -7 - -52. Suppose -t = 4*t - b. Solve 14 = 4*o - 2*n, -2*n + t = 2*o - n for o.
4
Let j = -19 - -27. Suppose -5*z + 7 = p, -2*z - j = -3*p + 4*p. Let o = p + 20. Solve 4*i = 4, 3*w - 2*i = 3*i - o for w.
1
Let g(m) = m**3 + 17*m**2 - 4*m - 57. Let f be g(-17). Solve 3*v - 2*u = f, -3*u = -3*v + 7*v - 9 for v.
3
Let c(p) = -4*p**2 - 13*p + 2. Let a be c(-2). Solve j - 3*r - 12 = -8*r, -a = 3*j - r for j.
-3
Let a be (-1 - (-5)/10)*-24. Solve 4*g = -g + k - a, -2*g - 3*k = -2 for g.
-2
Let m = 1143 + -1137. Solve 4*q + q = -5*v - 5, 0 = 3*q + m for v.
1
Suppose 3*m - 4 = 6*m - 4*x, 2*m + 3*x - 3 = 0. Let c = 34 + -30. Suppose 8*f + c = 9*f. Solve -2*i + 0*l - 12 = f*l, 5*i - 5*l + 15 = m for i.
-4
Let g(q) = -4*q + 13. Let b(n) = n - 3. Let j(l) = -9*b(l) - 2*g(l). Let w be j(-4). Solve 16 = w*o - h - 0*h, 0 = o - h for o.
4
Let z be 2/6 + -2*21/(-9). Suppose 0*g = 4*l + z*g - 13, -5*l - 5*g + 15 = 0. Solve 4*q = -l*t - 3*t - 45, t - 4*q - 15 = 0 for t.
-5
Let d be (-12 + (-165)/(-22))*4/(-6). Solve -2*a - s + 3 = 0, d*a + 2*a - s = 18 for a.
3
Let j(b) = 6*b**2 + 4*b - 2. Let x be j(-1). Solve 3*a + 1 = 4*o, 2*a + 2*o = -x*a - 10 for a.
-3
Suppose 20*b - 4*b = -4*b. Solve b*i = 4*i + 2*q + 4, -2*q - 7 = i for i.
1
Suppose 5*p - 3*d = 49, -5*d - 6 = -3*d. Let a be 3/((-84)/p) - (-74)/14. Solve 0 = -3*l + 2*z + 2, -5*z - 5 = -5*l + a for l.
-2
Suppose 12 + 0 = 3*k. Suppose -2*u = -n - 8, -4*n - k*u + u + 12 = 0. Solve 0 = -3*c - 2*j + 13, n*j + 4 = c + j for c.
5
Let b be (39/(-26))/((-1)/2). Suppose -6 - 39 = -b*a. Solve -5*f + a = 3*k, 3*k - f + 4*f = 9 for k.
0
Let x(q) be the first derivative of -q**3/3 - 5*q**2 + 14*q - 21. Let n be x(-11). Solve 0 = c - n*z + 8, 4*c + z - 24 = -z for c.
4
Let w(x) = -x + 10. Let i be w(6). Suppose -3*y - 5*o = -4, i*o - 4 = y + 6. Let n be 1 + y + (14 - -2). Solve 0 = 3*z + n, -2*l + 5*z + 10 = z for l.
-5
Let f = 45 + -48. Let y be (6 - 4 - 3)*f. Solve 0 = -m + y*a - 2*a - 2, 3*a = -4*m + 13 for m.
1
Let g = 602 + -599. Solve 0 = -g*n - 4*i + 9, -3*i - i = -4*n - 16 for n.
-1
Let m be 0/6 + (5 - 2). Suppose -3 = -c + 5. Suppose -2*q + c*y - m*y = 4, 5*q - 9 = 3*y. Solve -2*s - 4*i = -0*i + 4, s = -3*i - q for s.
0
Let a = 132 + -161. Let j(n) = n**3 + 29*n**2 - 2*n - 54. Let s be j(a). Solve -3*p - 12 = 0, 0 = i - 4*p - 12 - s for i.
0
Let s be (8/6 + -1)/((-5)/(-15)). Solve -4*g = 4, 4*g + s = -3*d - 3 for d.
0
Suppose 2*d + 5*o = 37, o + 5 = 4*d - 14. Solve 2*b - 2*q - d = 0, -2*q = -4*b + 5*b for b.
2
Suppose -130*y - 692 = -134*y. Let d = y + -147. Solve 0 = 4*l + 10 - d, -4*l + 19 = -n for n.
-3
Let k be (5/20)/(-1 + 27/24). Solve 0 = -b - k*b + 3*j + 9, 3*b - 21 = -3*j for b.
5
Suppose -4*w = w + 25. Let r = 7 + w. Solve 0 = -2*q - k - 11, q + r*k + 7 = -0 for q.
-5
Let w = 546 + -544. Solve 4*d + w*o + 2*o = 0, -2*o + 10 = -3*d for d.
-2
Suppose 0 = 2*h - 0 - 4. Suppose h*i + 0*j - 11 = -j, -i = -5*j. Solve -i*f + v = 22, -3*f - 8 = -2*v + 1 for f.
-5
Let v be (30/25)/((-4)/(-10)). Solve -v*y = 2*j - 4*y + 10, -5*j - 3*y = 3 for j.
-3
Suppose 2*f = j - 33, -4*j = 5*f - 6*f - 104. Solve -4*t + j = -3*g - 2*g, t = 4*g + 20 for t.
0
Let a = 70 + -22. Suppose -11*z - 4 = -a. Solve 5*c - 29 = 2*v, 4*v - 4*c + 24 = -z for v.
-2
Let f be 94/12 + (87/(-18) - -5). Solve 2*i = 3*a + 4 + 5, f = i - 5*a for i.
3
Let s(u) = 4*u + 132. Let i be s(-33). Solve i*r + 5*r = -f - 4, r = -f for f.
1
Let x(t) = -t**3 + 5*t**2 - t + 6. Let v be x(5). Let i(a) = a**3 - 8*a**2 - 17*a - 30. Let j be i(10). Solve -d - 4*m + 2 = j, -d + m = 2 + v for d.
-2
Let y(f) = 174*f**2 + f. Let s be y(-1). Suppose -4*z - 3*c = -s, -z - 3*c - 109 = -3*z. Let q = 71 - z. Solve -3*w + 12 = 3, -4*d = -4*w + q for d.
-3
Suppose 5*v = 2*v + 276. Let d = v - 87. Solve x + x = o + d, -30 = -3*x - 3*o for x.
5
Let t = -84 + 86. Suppose -t*x
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{
"pile_set_name": "DM Mathematics"
}
|
4
Let y = -33 + 40. Suppose f = -3*f - 5*c + 27, 2*f - 4*c + 6 = 0. Solve -5*m = 4*r + y, -5 = 3*r + f*m + 1 for r.
-3
Suppose -8*w + 3*w + 4 = 4*r, 2*r + 2*w = 2. Let u be (7/2 - 2)*14. Suppose -2*i = -3*i + u. Solve -4*l - i = 5*g, -3*l - r - 6 = -5*g for l.
-4
Let l(q) = 2*q - 5. Let u be l(4). Let g(i) = 3*i + 1. Let w be g(u). Solve -3*z = f - 10, z - w = 2*f - 3*z for f.
1
Let t be 54/(-36)*(-8)/6. Solve -3*c - 5*r = 1, -2*c - r - t = -6 for c.
3
Suppose -173 + 29 = -9*f. Solve 6*u - u + 4*y - 12 = 0, 3*u - 2*y - f = 0 for u.
4
Let a = -7 - -7. Suppose 3*r - 2 = -5*d - 0, a = 5*r - 5*d - 30. Solve r*s = 0, -y + 0*y = -s - 2 for y.
2
Let m be (-68)/18 + (-2)/9. Let s be (6 + -12)*(-1 + m). Solve -r = 2*v - 12, 3*r - s = -2*v - 10 for r.
4
Let z(o) be the third derivative of -o**4/6 - o**2. Let p be z(-1). Solve -4*h - 3*b = -12, 0*h - b = -4*h - p for h.
0
Suppose 34 = 4*f + 14. Solve y = -5*v - f, 0 = 5*v - v for y.
-5
Let f(i) = -i**3 + 6*i**2 - 4*i - 2. Let n be f(5). Let z = 6 - 23. Let q = 29 + z. Solve -3*y + n*x = 9, 5*y + 0 + q = 4*x for y.
0
Suppose 6 = -5*f + 1. Let v be f/(-2)*(6 - 6). Solve v = -3*d + h + 2*h + 3, 3*d + 12 = -2*h for d.
-2
Let h be 176/40*(-10)/(-4). Solve -4*j + 15 + 1 = -5*s, -3*j - 2*s - h = 0 for j.
-1
Let a = 5 - 1. Let l be a/(-3)*(-6)/2. Suppose w + b = -3, 0 = -3*w + 2*w + 5*b + 21. Solve w + 21 = l*f + 5*d, -d = -2 for f.
3
Let c(w) = w**2 - w + 1. Let p(t) = 2*t**2 - 8*t + 3. Let n(g) = -c(g) + p(g). Let r be n(7). Solve -4*z + 3*f + 7 = -r*z, -4*f = -5*z + 21 for z.
5
Suppose 0 = -4*a + 5*k + 40, 0 + 1 = -3*a - 4*k. Suppose 0 = -o + 2 + a. Solve t - o = -z, -t - 3*z + 5 = -6 for t.
5
Let g be 22/4 - (91/(-14))/(-13). Solve f + 4*a - a = 1, 2*f = g*a + 2 for f.
1
Let d = -4 + 5. Let w be (d - 1)/(-1 + -1). Solve w = 2*y - 2, 4*y + 1 - 10 = h for h.
-5
Suppose -4*a - 35 = -11*a. Solve 0 = 5*o - 24 + 4, -a*o = -5*h - 40 for h.
-4
Let u be (-2 - -7) + (5 - 1). Solve -2*l = -5*l - u, -b = -2*l - 5 for b.
-1
Suppose 20*z + 16 = 21*z. Solve z = 3*o + 5*v - 2, 5*v - 13 = 2*o for o.
1
Suppose 5*i + 3*w = 0, -5*i + 3*w = 4*w. Suppose -u + 4*z = 11, -4*u = 5*z - 8 - 11. Suppose 4*o = 19 + u. Solve o*l - 25 = i, -v - 12 = -4*l + l for v.
3
Suppose -3*b - 20 = 2*b. Let d be 36/8 - 2/b. Solve -3*t = 3*i, 0*t - 5*i = 4*t + d for t.
5
Suppose -23*b + 9 = -20*b. Solve x - 13 = -3*r, -b*x + 18 = r + r for r.
3
Let j(x) = -x - 1. Let o be j(-5). Solve o*m - 20 = 4*q, -3*q - 8 + 2 = 0 for m.
3
Let x(g) = g**3 - 5*g**2 + g + 2. Let k be x(5). Let l(q) = -q**2 + 8*q - 5. Let t be l(k). Suppose -s = -t + 1. Solve 0*b = -5*b, c + s = -4*b for c.
-1
Let i(l) = -l**3 - 5*l**2 - 4*l + 5. Suppose -5*n - 26 - 4 = -2*q, 0 = 2*n - 4*q + 28. Let t be i(n). Solve -4*p - 4*s - 12 = 0, 8*p - t*s = 3*p + 15 for p.
0
Suppose 2*u - 10 = -3*u. Suppose 4*x = -0*x - 24. Let y be 3/u*(-8)/x. Solve y*j + 4*s + 10 = 0, -2*j + s = -0*j for j.
-1
Suppose -3*p + 45 = -2*p. Let a = p - 28. Suppose -2*n + 3*n = 4. Solve 4*s + 2*j = -26, -3*s - n*j - a = -2*s for s.
-5
Suppose 3 = -n + 5. Suppose 0 = 5*w - 0*w - 20. Let l be (8/n)/(6 - w). Solve 10 = -l*k - 5*q, -k = k + q - 6 for k.
5
Let u be (-4)/(-5)*210/4. Let t be u/8 - (-6)/(-24). Solve t = 5*r + 5*m, -5*r + 3*m - 7*m + 4 = 0 for r.
0
Suppose 2*t = -3*t. Solve -4*y = -f + 6, t = 3*f + 3*y - 3 - 0 for f.
2
Let y(s) = -s**2 + 9*s + 1. Let a be y(7). Let r = 31 - a. Solve -3*k - p = -r, -3*k - 2*k + 3*p = -8 for k.
4
Suppose -4*p + 5*p + 3*u - 5 = 0, -4*u = -p + 5. Solve 0 = 3*q + k - p, -2 = -3*q + k + 5 for q.
2
Let l(p) = -3 - 3 + 2 - 7*p + 1. Let m be l(-2). Solve -10 = 5*s - 5*r, -s + r + 3*r - m = 0 for s.
1
Let d = -2 - -2. Let n(w) = w**3 - w**2 + 0*w - 1 + 3 - w. Let i be n(d). Solve i*m + 2 = -0*m - 2*z, z = m - 5 for m.
2
Let h(k) = 0 + 1 - 2 + k. Let p(u) = u - 1. Let t be p(6). Let v be h(t). Solve l = -3*x + 5*l - 24, v*l = 2*x + 20 for x.
-4
Suppose z = -4*z + 35. Suppose -4*g + 3*l = -6, l - 8 = -2*g - 0*l. Solve -c = -3*r - z, 2 = r - g*c - 1 for r.
-3
Let g = 12 + -12. Solve -6 = -3*i, -2*r - 2*i + 3*i - 8 = g for r.
-3
Let r = -1 - 1. Let q be (3 + 1)/(r/(-4)). Let c = 11 - q. Solve i - 8*o + 4*o = 3, 4*i = -c*o + 12 for i.
3
Let a be 3/9 - 20/(-3). Let t = 15 - a. Suppose t = b + 3. Solve -b*f = -5*q, -5*q = 4*f - 4 - 5 for q.
1
Let l = -4 + 8. Suppose l*w - 7 = 5. Suppose -3*d + 7 = 5*h, -3*d - 5 = -h - 0*h. Solve 5*s + 1 = 2*g, 1 = w*s - h for g.
3
Suppose 0 = -5*s - 4*j - 6, 0*s = -2*s + 5*j + 24. Suppose s*c + 8 = -12. Let y = 14 + c. Solve 5*i + y*u - 17 = 3*u, 4*u = -2*i - 4 for i.
4
Let z = 4 - 0. Let t be ((-1)/(-2))/(2/z). Let h be (1 + 0)*t + 4. Solve -2*q + 2*d = -8, 0 = -h*q + 4*d - 11 + 30 for q.
3
Let q(v) = -2*v - 2. Let w = 1 - 8. Let p be q(w). Solve -2*l + a = p - 5, -2*l = -3*a + 13 for l.
-2
Let z = -5 + 19. Suppose 2*g = -0*g + z. Solve -4*k = 2*t + 7 + 15, 2*t + g = -k for t.
-1
Let l(k) = -k**3 + 8*k**2 - 7*k + 5. Let a be l(7). Let b be 6/8 - 6/8. Solve b = 2*u + x - 5, -4*u - a*x + 7 = -0*u for u.
3
Let w(g) = -g - 3. Let c be w(-7). Let q(j) = -9 - c + j + 4. Let y be q(9). Solve -v + 3*u - 2 = y, 2 + 8 = 5*v + 5*u for v.
1
Let g = -3 - -3. Let y = 15 - -6. Let o be y/(-14)*(-20)/6. Solve o*l - 4*v = 2*l - 18, g = -4*l + v - 11 for l.
-2
Let t(f) = f**2 - 8*f - 13. Let u be t(9). Let d = 11 + -5. Let h be (u - -6)/(4/d). Solve -r - h*z = -6, z = -3*r - 0*z - 6 for r.
-3
Let m be (-6)/(1 - ((1 - 1) + 3)). Solve s = m*k - 17, 5*k = -4*s + 2*s + 21 for s.
-2
Suppose k + k = -2*q + 12, -k - 6 = -2*q. Let u(n) = 2*n + 2. Let p be u(6). Suppose 2*h = -4 + p. Solve -h*a - x - 4*x - 5 = 0, q = 2*x for a.
-3
Suppose -2*h = -4*h. Suppose 4*f - 5*u = -8*u + 21, 2*f - u - 13 = h. Solve b - 2*w = 9, -2*w = -4*b - f*w - 12 for b.
1
Let w = 11 + -7. Suppose w*j - 3*j = 3. Solve -j*m = -2*l + 3*l + 12, m + 4 = 5*l for m.
-4
Let g(t) = 2*t**2 - 2*t - 1. Let u be g(2). Suppose -4*a = 0, u*x - 5*a = -0*x. Suppose x = 3*j - 19 - 2. Solve 5*p - 5 = d, -3*d = 4*p - j*d - 4 for p.
1
Let n = -4 - -8. Solve -3*x + 18 = 3*f, n*f - 10 = 5*x + f for x.
1
Suppose -3*n = 5*n - 40. Solve z + n*v = v + 4, 0 = 3*v for z.
4
Let i = 6 - -19. Suppose 0 = 3*q + q - 32. Suppose -2*g = 4*b + 2*g - 32, 5*b - q = 3*g. Solve 4*p + 25 = 5*j, -p = -j - b*j + i for p.
0
Suppose 0 = c + 8*c. Solve 2*q - 3*s = c, -s + 8 = 2*q - 0*q for q.
3
Suppose -i = 4*n - 27, 0 = 5*n - 2*i - i - 38. Solve -4*b + 2*g = 10, -n*g - 35 = 5*b - 2*g for b.
-4
Let m = -2 + 4. Let b be 3*3/9*m. Let i be (3/6)/(b/12). Solve -i*r + 2*f + 7 = -1, -18 = -3*r - 3*f for r.
4
Suppose 0 = -0*v - 4*v + 12, v - 11 = -4*i. Let l be (-3)/i*2*-1. Solve 4*s - p = -9, s + l*p = p for s.
-2
Let p(h) = -5*h**3 - h**2 + 2*h + 2. Let r be p(-1). Solve 0*q = -r*y - 2*q - 2, 3*y = -4*q - 4 for y.
0
Let u(m) = -m - 12. Let w be u(-9). Let n = -2 - w. Suppose -3*h + 13 = n. Solve 0 = -3*a + 3*g + 7 - 4, 4*a + h*g = -36 for a.
-4
Suppose -3*g + 4*g - 2 = 0. Suppose -g*r + 12 = -10. Solve -5*d = -4*v - 40, v + r = -d - 2*v for d.
4
Suppose 3*o = 4*o - 3. Suppose 0*p + o*p = h + 14, -4*h + 29 = 5*p. Solve -a - a - p*y - 7 = 0, 5*y = -a - 6 for a.
-1
Suppose 5*l + 5*f = 30, 0 = -2*l + 3*f - 2 + 9. Let n be (-3)/(2 - 5)*0. Let y be 3 - ((1 - n) + -3). Solve 4 = -y*g + 3*a, -g - l*a = -2*a - 10 for g.
1
Suppose 5*u - 3*u = 0. Solve u*g = 2*x - 5*g + 31, -4*g + 26 = -2*x for x.
-3
Let n(r) be the third derivative of r**5/60 - r**4/8 - r**3/2 + 2*r**2. Let p be n(-2). Solve -6 = 3*a, 4*c - c + p = -5*a for c.
1
Let f be ((-12)/(-15))/((-18)/(-225)). Solve r = 2*n, 0*r + 2*r = -n - f for r.
-4
Let g be (-18)/(-12)*2*1. Suppose 5*t = -2*r + 2*t, -g*r = 2*t. Solve r*o - o = -u - 7, -2*u - 2*o + 6 = 0 for u.
-2
Let r = 1 + 3. Solve v = -4*z - r*v - 20, -2*v - 8 = -z for z.
0
Let a(l) = -10*l - 10*l**2 + l + 15*l**3 + 7 - 16*l**3 - 4. Let s be -6*(-1)/(4/(-6)). Let q be a(s). Solve 16 = -4*z + r + q*r, 0 = 2*z + 3*r + 3 for z.
-3
Suppose -28*d + 7*d + 84 = 0. Suppose -3*p - 2*p = -10. Let o = 2 + -2. Solve p*q - 1 = -r + 2, o = -d*q for r.
3
Let g be (2/(-4) + 3)*2. Let r be (-51)/(-15) - 2/g. Let c = -3 + 3. Solve 2*m - 4*b + 10 = 0, r*m + 15 + c = -2*b for m.
-5
Suppose 0 = 5*f + 3*d + 2, 2*f - 2*d = -2*f + 16. Solve -1 = -n + f*p + 4, -5*p =
|
{
"pile_set_name": "DM Mathematics"
}
|
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7
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2
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2
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6
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1
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8
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5
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9
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6
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8
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7
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6
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6
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6
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1
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9
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3
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9
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9
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5
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4
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6
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4
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4
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0
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5
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5
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5
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7
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4
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6
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4
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2
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2
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2
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5
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6
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6
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7
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9
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5
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2
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1
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7
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3
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8
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1
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6
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2
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6
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9
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2
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9
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8
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4
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1
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6
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1
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6
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6
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5
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7
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5
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8
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4
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7
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0
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9
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8
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1
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7
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2
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3
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4
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6
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1
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6
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6
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7
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9
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5
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1
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8
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2
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6
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8
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2
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8
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1
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5
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0
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8
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4
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5
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2
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0
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9
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1
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0
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8
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8
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7
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9
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9
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0
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0
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7
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6
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0
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1
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3
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3
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6
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1
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6
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5
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3
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6
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2
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4
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0
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7
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7
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3
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9
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9
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3
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6
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6
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2
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9
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0
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4
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4
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7
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3
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5
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9
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7
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1
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2
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9
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5
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4
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1
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2
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7
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6
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9
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2
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6
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8
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1
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7
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1
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6
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7
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2
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7
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2
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8
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2
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7
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1
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7
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7
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8
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6
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2
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4
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9
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9
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|
{
"pile_set_name": "DM Mathematics"
}
|
p - 16 = 0.
-4, -1
Let n**5 - 4*n**3 = 0. What is n?
-2, 0, 2
Let -2*m**2/9 - 16*m/3 = 0. What is m?
-24, 0
Find d such that d**5 + 7*d**4/2 - 3*d**3/2 - 17*d**2/2 + 5*d/2 + 3 = 0.
-3, -2, -1/2, 1
Factor -3*a**2/4 - 9*a/2 + 561/4.
-3*(a - 11)*(a + 17)/4
Let -7*b**5/2 + 47*b**4/2 + 21*b**3/2 - 47*b**2/2 - 7*b = 0. Calculate b.
-1, -2/7, 0, 1, 7
Factor -n**2/3 + 11*n/3 + 92.
-(n - 23)*(n + 12)/3
Factor 7*h**3/2 + 4*h**2 - 136*h - 384.
(h + 4)**2*(7*h - 48)/2
Determine i, given that -i**3 + 52*i**2 + 108*i = 0.
-2, 0, 54
What is c in -2*c**3/5 + 8*c**2/15 - 2*c/15 = 0?
0, 1/3, 1
Factor -2*u**2 + 5*u - 2.
-(u - 2)*(2*u - 1)
Let 4*w**3/3 - 1808*w**2/3 + 207872*w/3 - 802816/3 = 0. What is w?
4, 224
Find s such that 16*s**3 + 30*s**2 - 22*s - 36 = 0.
-2, -1, 9/8
Factor -m**2 - 24*m + 25.
-(m - 1)*(m + 25)
Factor m**2 - 79*m/3 - 18.
(m - 27)*(3*m + 2)/3
Let 4*g**4 - 24*g**3 + 44*g**2 - 24*g = 0. Calculate g.
0, 1, 2, 3
Factor 2*y**3 - 66*y**2 + 340*y - 432.
2*(y - 27)*(y - 4)*(y - 2)
Factor -5*i**4 - 20*i**3 + 240*i**2 + 1600*i + 2560.
-5*(i - 8)*(i + 4)**3
Find u such that 3*u**2/4 - 4563*u/2 + 6940323/4 = 0.
1521
Suppose 6*n**5 + 93*n**4 - 240*n**3 - 4512*n**2 + 16128*n - 6912 = 0. Calculate n.
-12, 1/2, 4
Factor -4*c**3/7 - 9724*c**2/7 - 5914620*c/7 - 5904900/7.
-4*(c + 1)*(c + 1215)**2/7
Let 2*u**2/3 - 6*u - 20/3 = 0. Calculate u.
-1, 10
Determine y so that -3*y**2 + 18*y + 165 = 0.
-5, 11
Factor 3*k**3 - 72*k**2 + 387*k - 510.
3*(k - 17)*(k - 5)*(k - 2)
Factor 2*f**4/15 + 108*f**3/5 - 334*f**2/3.
2*f**2*(f - 5)*(f + 167)/15
Solve -4*f**5 + 20*f**4 + 248*f**3 + 200*f**2 - 244*f - 220 = 0.
-5, -1, 1, 11
Solve -a**5 - 22*a**4 + 221*a**3 - 558*a**2 + 360*a = 0.
-30, 0, 1, 3, 4
Factor 5*c**2 - 4975*c - 4980.
5*(c - 996)*(c + 1)
What is c in -5*c**3 - 310*c**2 - 305*c = 0?
-61, -1, 0
Find p, given that -5*p**4/4 - 103*p**3/4 - 553*p**2/4 - 257*p/4 + 99/2 = 0.
-11, -9, -1, 2/5
Factor -h**3 + 925*h**2 - 214368*h + 213444.
-(h - 462)**2*(h - 1)
Suppose -3*v**3 - 24*v**2 - 57*v - 36 = 0. Calculate v.
-4, -3, -1
Solve -w**4/7 + 10*w**3/7 + 40*w**2/7 - 10*w/7 - 39/7 = 0.
-3, -1, 1, 13
Find w such that -2*w**2 - 1074*w + 1076 = 0.
-538, 1
Factor 2*m**3/9 - 28*m**2/9 + 98*m/9 - 8.
2*(m - 9)*(m - 4)*(m - 1)/9
Let -225*x**5 + 670*x**4 - 686*x**3 + 244*x**2 + 15*x - 18 = 0. What is x?
-2/9, 3/5, 1
Factor -2*d**4/5 + 2*d**3 + 2*d**2/5 - 2*d.
-2*d*(d - 5)*(d - 1)*(d + 1)/5
Determine i so that 21*i**4 + 44*i**3 - 80*i**2 - 176*i - 16 = 0.
-2, -2/21, 2
Factor -4*q**2 - 17464*q - 19061956.
-4*(q + 2183)**2
Suppose -121*i**3 + 319*i**2 + 128*i + 12 = 0. Calculate i.
-2/11, 3
Let -5*h**4 - 40*h**3 + 225*h**2 - 180*h = 0. What is h?
-12, 0, 1, 3
Factor 3*v**4 + 929*v**3 + 71765*v**2 - 24025*v.
v*(v + 155)**2*(3*v - 1)
Factor 2*v**3/9 + 20*v**2 - 566*v/9 - 248/3.
2*(v - 4)*(v + 1)*(v + 93)/9
Determine r so that 21*r**5 + 78*r**4 + 18*r**3 - 96*r**2 - 39*r + 18 = 0.
-3, -1, 2/7, 1
Let 2*t**2/3 + 56*t/3 - 58/3 = 0. What is t?
-29, 1
Suppose h**3/2 + 173*h**2/2 + 343*h/2 + 171/2 = 0. Calculate h.
-171, -1
Suppose s**5 - 18*s**4 + 101*s**3 - 132*s**2 - 252*s = 0. What is s?
-1, 0, 6, 7
Factor -2*a**3/11 + 328*a**2/11 - 2528*a/11 + 4992/11.
-2*(a - 156)*(a - 4)**2/11
Factor -5*l**2/2 - 5*l/2 + 140.
-5*(l - 7)*(l + 8)/2
Determine f so that 5*f**4 - 320*f**3 + 625*f**2 - 310*f = 0.
0, 1, 62
Factor -2*p**4 + 97*p**3/2 - 12*p**2.
-p**2*(p - 24)*(4*p - 1)/2
Factor 2*z**4/5 - 6*z**3/5 - 8*z**2/5.
2*z**2*(z - 4)*(z + 1)/5
Factor -2*q**3/5 + 288*q**2/5 - 13824*q/5 + 221184/5.
-2*(q - 48)**3/5
Factor -3*x**3 - 18*x**2 - 27*x - 12.
-3*(x + 1)**2*(x + 4)
Let p**5/6 + p**4/6 - 7*p**3/6 - 13*p**2/6 - p = 0. What is p?
-2, -1, 0, 3
Factor -3*k**2/5 + 576*k/5 - 4941/5.
-3*(k - 183)*(k - 9)/5
Factor -4*o**2 + 113*o/2 + 121/2.
-(o + 1)*(8*o - 121)/2
Solve -5*o**5 + 95*o**4 + 160*o**3 - 5540*o**2 - 21280*o - 15680 = 0.
-4, -1, 14
Factor -2*s**2 + 1804*s.
-2*s*(s - 902)
Let t**5/4 + 9*t**4 + 71*t**3 + 148*t**2 - 240*t - 832 = 0. What is t?
-26, -4, 2
Factor -b**3/4 + 5*b**2/2 + b/4 - 5/2.
-(b - 10)*(b - 1)*(b + 1)/4
Determine j so that j**3/2 - 180*j**2 + 21600*j - 864000 = 0.
120
Factor -3*h**3 - 48*h**2 - 39*h + 90.
-3*(h - 1)*(h + 2)*(h + 15)
Solve o**4/5 - 71*o**3/5 + 332*o**2/5 - 124*o/5 - 528/5 = 0 for o.
-1, 2, 4, 66
Factor -5*m**4 - 10*m**3.
-5*m**3*(m + 2)
Solve -10*l**3 - 6096*l**2 + 2440*l = 0.
-610, 0, 2/5
Solve -2*k**2/19 - 1442*k/19 + 76 = 0 for k.
-722, 1
Determine w, given that -2*w**3 - 6*w**2 + 152*w - 264 = 0.
-11, 2, 6
Factor s**5/3 - 8*s**4/3 + 7*s**3/3.
s**3*(s - 7)*(s - 1)/3
Determine b so that 4*b**5 - 40*b**3 + 80*b**2 - 60*b + 16 = 0.
-4, 1
Solve r**2 - 35*r = 0 for r.
0, 35
What is g in -3*g**4 + 174*g**3 - 645*g**2 - 174*g + 648 = 0?
-1, 1, 4, 54
Factor -x**3 + 25*x**2 - 106*x + 120.
-(x - 20)*(x - 3)*(x - 2)
Suppose 10*g**3 + 935*g**2 - 475*g - 470 = 0. Calculate g.
-94, -1/2, 1
Suppose 6*z**5/5 + 21*z**4/5 + 9*z**3/5 = 0. Calculate z.
-3, -1/2, 0
Let 3*b**5 + 1923*b**4 + 305265*b**3 - 927363*b**2 + 931224*b - 311052 = 0. What is b?
-322, 1
Find p, given that -p**2/2 + 150*p = 0.
0, 300
Determine w so that 3*w**5 + 120*w**4 + 342*w**3 + 336*w**2 + 111*w = 0.
-37, -1, 0
Determine f so that 3*f**2/5 - 531*f/5 - 324 = 0.
-3, 180
Suppose -2*j**2 + 108*j - 306 = 0. Calculate j.
3, 51
Find l, given that -2*l**4 - 10*l**3 - 8*l**2 = 0.
-4, -1, 0
Determine o so that -5*o**2 - 20*o + 300 = 0.
-10, 6
Factor 2*q**3 + 60*q**2.
2*q**2*(q + 30)
Suppose -20*r**5/3 + 928*r**4/3 - 1228*r**3/3 - 1456*r**2/3 + 240*r = 0. What is r?
-1, 0, 2/5, 2, 45
Let -2*u**2/3 - 1312*u/3 + 438 = 0. What is u?
-657, 1
Factor o**2/2 + 399*o - 1604.
(o - 4)*(o + 802)/2
Solve 484*y**3/3 - 352*y**2/3 - 41*y - 3 = 0 for y.
-3/22, 1
Factor 20*n**2/3 - 6*n - 2/3.
2*(n - 1)*(10*n + 1)/3
Factor i**2 - 8*i - 209.
(i - 19)*(i + 11)
Factor -k**3/4 - 3*k**2/2 - 2*k.
-k*(k + 2)*(k + 4)/4
Suppose -5*l**2 - 180*l - 1015 = 0. What is l?
-29, -7
Factor 2*k**2 - 434*k - 2220.
2*(k - 222)*(k + 5)
Solve 3*x**5 + 27*x**4 + 57*x**3 + 9*x**2 - 60*x - 36 = 0.
-6, -2, -1, 1
Factor 2*u**4/7 + 12*u**3/7 + 16*u**2/7.
2*u**2*(u + 2)*(u + 4)/7
Find j, given that 4*j**2 - 172*j + 1560 = 0.
13, 30
Let 3*z**4/2 - 45*z**3/2 - 9*z**2/2 + 129*z/2 + 45 = 0. What is z?
-1, 2, 15
Suppose 54*x**3 - 530*x**2/11 - 72*x/11 + 8/11 = 0. What is x?
-2/11, 2/27, 1
Factor 5*y**2 - 15*y - 140.
5*(y - 7)*(y + 4)
Factor -n**2/7 - 594*n/7 - 88209/7.
-(n + 297)**2/7
Let -4*y**5 + 40*y**4 + 432*y**3 - 616*y**2 - 2348*y - 1344 = 0. What is y?
-7, -1, 3, 16
What is r in -2*r**5/15 + 4*r**4/3 - 32*r**3/15 - 4*r**2/15 + 34*r/15 - 16/15 = 0?
-1, 1, 8
Factor 84*h**2 - 2*h/7.
2*h*(294*h - 1)/7
Let 4*j**3/5 + 1608*j**2/5 - 4*j/5 - 1608/5 = 0. Calculate j.
-402, -1, 1
Suppose -h**3/8 + 45*h**2/8 + 177*h/4 + 65 = 0. Calculate h.
-5, -2, 52
Factor -2*o**2 + 12*o + 110.
-2*(o - 11)*(o + 5)
Suppose -j**4 + 6*j**3 - 12*j**2 + 10*j - 3 = 0. What is j?
1, 3
Factor -2*t**2/3 + 326*t - 976/3.
-2*(t - 488)*(t - 1)/3
Factor -2*w**5/15 - 3404*w**4/15 - 385786*w**3/3 - 362632784*w**2/15 + 731065984*w/15 - 366500864/15.
-2*(w - 1)**2*(w + 568)**3/15
Factor o**4/9 + 2*o**3 - 781*o**2/9 - 266*o/3.
o*(o - 21)*(o + 1)*(o + 38)/9
Let -2*p**4/9 + 172*p**3/3 - 1522*p**2/9 - 680*p/3 = 0. What is p?
-1, 0, 4, 255
Let -3*d**5/5 - 42*d**4/5 - 174*d**3/5 - 12*d**2 + 165*d + 150 = 0. What is d?
-5, -1, 2
Suppose -2*q**2/5 + 28*q/5 - 26/5 = 0. What is q?
1, 13
Factor 6*w**3 + 140*w**2/3 + 94*w/3 - 28/3.
2*(w + 1)*(w + 7)*(9*w - 2)/3
Factor -2*t**4 + 144*t**3 - 2986*t**2 + 14124*t - 17424.
-2*(t - 33)**2*(t - 4)*(t - 2)
Suppose -3*k**3 - 51*k**2 + 114*k = 0. Calculate k.
-19, 0, 2
Determine q so that 3*q**3 - 48*q**2 + 192*q = 0.
0, 8
Solve 4*n**2/7 + 3996*n/7 = 0 for n.
-999, 0
Suppose -p**4/6 + p**3/6 + 19*p**2/6 - 49*p/6 + 5 = 0. Calculate p.
-5, 1, 2, 3
Let v**3/4 - 3*v**2/2 + 9*v/4 - 1 = 0. What is v?
1, 4
Factor -3*p**2/4 + 663*p/4 - 165.
-3*(p - 220)*(p - 1)/4
Factor n**2/3 - 2*n - 55/3.
(n - 11)*(n + 5)/3
Factor -g**5 - 1994*g**4 - 992013*g**3 + 1990012*g**2 - 996004*g.
-g*(g - 1)**2*(g + 998)**2
Find w, given that -3*w**3 + 57*w**2 + 360*w = 0.
-5, 0, 24
Factor x**3/3 - 10*x**2/3 + 28*x/3 - 8.
(x - 6)*(x - 2)**2/3
Factor -2*n**3 - 58*n**2 - 108*n.
-2*n*(n + 2)*(n + 27)
Determin
|
{
"pile_set_name": "DM Mathematics"
}
|
-168*m
Let q(y) be the second derivative of y**10/10080 + y**6/240 + y**4/12 + 3*y. Let p(s) be the third derivative of q(s). Find the second derivative of p(u) wrt u.
60*u**3
Let a(i) be the second derivative of -2*i**6 - 7*i**3/6 - 5*i**2/2 - 14*i. What is the second derivative of a(q) wrt q?
-720*q**2
Let n(k) = -16*k**3 + 5*k**2 + 8*k. Let w(j) = j**3 - j**2 - j. Let h(x) = -n(x) - 5*w(x). Find the second derivative of h(l) wrt l.
66*l
Let k(c) = -3*c**2 - 9*c + 1. Let j(q) = 2*q**2 + 4*q. Let w(a) = 9*j(a) + 4*k(a). What is the derivative of w(g) wrt g?
12*g
Let k(p) = -3*p**2 - 35*p - 43. Let n(u) = -2*u**2 - 18*u - 22. Let i(v) = -3*k(v) + 5*n(v). What is the derivative of i(d) wrt d?
-2*d + 15
Suppose 4*t = -2*f + 54, 4*t - 3*f + 0*f - 79 = 0. Find the first derivative of 3*b**4 - 23 - t + 33 wrt b.
12*b**3
Let z(t) be the first derivative of -t - 4/3*t**3 + 0*t**2 - 6. Differentiate z(s) wrt s.
-8*s
Let l be 4/14 + 48/28. Suppose -l*a + 26 = -5*b, 2*a - 5*b = -b + 22. What is the second derivative of r**3 - r**a - 2*r**3 + 2*r wrt r?
-12*r
Let l(k) = -2*k**4 + k + 0*k**4 + 3*k**3 - 4*k. Let r(j) = -5*j**4 + 7*j**3 - 5*j. Let g(v) = 7*l(v) - 3*r(v). What is the second derivative of g(i) wrt i?
12*i**2
Let a(p) = p**2 + 3*p - 6. Let l be a(-5). Suppose -5*n = -26 - 24. Find the second derivative of -x**l - x**4 + n*x - 9*x wrt x.
-24*x**2
Let n(z) = z + 1. Suppose -25 = 5*p - x, 4*p - x = -5*x - 44. Let v(g) = -g + 13. Let l(y) = p*n(y) + v(y). Differentiate l(t) with respect to t.
-7
Let m(g) be the third derivative of 13*g**6/60 + 3*g**3/2 - 10*g**2. Find the first derivative of m(t) wrt t.
78*t**2
Suppose 16*u = 12*u + 12. Suppose 0 = 5*x - x - 24. Differentiate 3 - x + 5 + u*l**4 with respect to l.
12*l**3
Let l(s) be the first derivative of 2 + 0*s**5 + 0*s**4 + 0*s**2 - s**3 - 1/6*s**6 + 0*s. What is the third derivative of l(n) wrt n?
-60*n**2
Let g(h) be the third derivative of h**4/4 + 2*h**3/3 + h**2. Differentiate g(n) wrt n.
6
Let y be (2 - -3) + -7 + 5. Let g(a) be the first derivative of -4 + 0*a + 0*a**4 + 0*a**2 - 4/3*a**y - 3/5*a**5. Find the third derivative of g(t) wrt t.
-72*t
Let o(r) be the first derivative of -r**5/12 - r**3/2 + 2*r**2 - 3. Let y(t) be the second derivative of o(t). What is the derivative of y(f) wrt f?
-10*f
Let h(w) be the second derivative of 1/56*w**8 - 1/6*w**4 + 0*w**2 + 0*w**6 + 0*w**3 + 0*w**5 + 4*w + 0 + 0*w**7. What is the third derivative of h(d) wrt d?
120*d**3
Let d(t) = -2*t - 1. Let j(p) = -4*p - 2. Let c(g) = -5*d(g) + 2*j(g). Find the first derivative of c(s) wrt s.
2
Let u(i) = -i**2 + 10*i - 4. Let h be u(8). Let b be ((-8)/6)/((-8)/h). What is the second derivative of -4*v**2 - v + 4*v**2 + v**b wrt v?
2
Let k(g) be the third derivative of 0*g**5 + 0*g**3 + 0 + 0*g**7 + 1/8*g**4 + g**2 + 1/84*g**8 + 0*g**6 + 0*g. Find the second derivative of k(h) wrt h.
80*h**3
Let x(s) be the third derivative of -s**7/35 + 2*s**3/3 - 2*s**2. What is the derivative of x(i) wrt i?
-24*i**3
Let n(s) = -s**2 - 9*s - 7. Let q be n(-7). Let h(v) = v**3 - 6*v**2 - 7*v + 1. Let z be h(q). Differentiate 0*y + 1 + z + y wrt y.
1
Let a(t) = t**2 + 8*t + 9. Let s(n) = n**3 - 4*n**2 + 2*n - 4. Let h be s(3). Let o be a(h). Find the first derivative of -o*r**2 + 0 + 4*r**2 + 1 wrt r.
4*r
Let t(h) = 33*h**2 - 35*h - 18*h**2 - 13*h**2 + 40*h**2 + 28. Let a(m) = m**2 - m + 1. Let n(c) = -35*a(c) + t(c). What is the first derivative of n(q) wrt q?
14*q
What is the third derivative of -9*c**2 - c**3 + 19*c**3 - 60*c**3 wrt c?
-252
Let o(n) = 9*n**3 - 2*n**2 + 2*n + 21. Let q(k) = k**2 - k. Let f(z) = -o(z) - 2*q(z). Differentiate f(x) wrt x.
-27*x**2
Let h = -27 - -29. Let z(c) be the third derivative of 1/8*c**4 - 1/6*c**3 + 0 - 4*c**h + 0*c. Differentiate z(x) wrt x.
3
Let k(v) = -2*v**4 + 2*v**2 + 1. Let m(q) = -4*q**4 + 4 + 5*q**2 - 2 + 0*q**2 + 1. Let a(d) = -5*k(d) + 2*m(d). What is the derivative of a(o) wrt o?
8*o**3
Let k(t) = 11*t**3 - 2*t**2 - 6*t - 6. Let y(q) = -q**3 - 2 + q**2 + q + 3 + 0. Let c(n) = k(n) + 6*y(n). What is the third derivative of c(f) wrt f?
30
Let d(g) = -2*g + 1. Let y be d(-2). Find the third derivative of 0*r**y - 2*r**2 - 2*r**5 - 3*r**5 + 3*r**5 wrt r.
-120*r**2
Let v(d) = 4*d**3 - d**2 + 7*d. Suppose 5*m + 1 = -34. Let i(o) = 2*o**3 - o**2 + 4*o. Let a(f) = m*i(f) + 4*v(f). Find the third derivative of a(q) wrt q.
12
Let u(v) be the third derivative of v**6/60 + 11*v**4/12 - 6*v**2. Find the second derivative of u(w) wrt w.
12*w
Let q(t) be the second derivative of -t**8/560 + t**6/180 - t**3/2 + 3*t. Let v(p) be the second derivative of q(p). What is the third derivative of v(f) wrt f?
-72*f
What is the second derivative of g + g**2 + 4*g**2 - 2*g**2 - 4*g wrt g?
6
Let o(y) = 30*y**3 + 2*y**2 + y - 2. Let k(n) = 120*n**3 + 9*n**2 + 4*n - 9. Let t(l) = 2*k(l) - 9*o(l). What is the second derivative of t(v) wrt v?
-180*v
Suppose -2*x + 2*s = 10, 2*s + 5 = 3*s. Suppose -3*b - 2*i + 12 = -x*b, 4*b - 16 = -4*i. Differentiate -2*m - 4 + 6 + b*m with respect to m.
2
Let j(g) be the second derivative of 0 + 3*g + 1/14*g**8 + 0*g**3 + 0*g**2 + 0*g**7 - 1/6*g**4 + 0*g**6 + 0*g**5. Find the third derivative of j(l) wrt l.
480*l**3
Let l(j) = 13*j**3 + 24*j**2 - 14*j. Let k(h) = 37*h**3 + 72*h**2 - 43*h. Let z(c) = 6*k(c) - 17*l(c). What is the second derivative of z(q) wrt q?
6*q + 48
Let x(t) = 8*t**2 - 8*t. Let m(u) = 16*u**2 - 17*u. Let a(k) = -4*m(k) + 7*x(k). Find the second derivative of a(b) wrt b.
-16
Let z(d) = d**2 + 8*d + 3. Let w be z(-8). Find the third derivative of 3*u**2 + 3*u**3 + 3*u**3 - 3*u**w wrt u.
18
Find the third derivative of 15*x**2 - 25*x**6 + 4*x**2 - x**2 + 30*x**6 wrt x.
600*x**3
Let s(g) = 40*g**4 + 49*g**2. Let n(i) = 40*i**4 + 48*i**2. Let z(x) = -7*n(x) + 6*s(x). What is the third derivative of z(b) wrt b?
-960*b
Let u(g) be the first derivative of g**4/3 - g**3/3 - 5*g - 1. Let l(r) be the first derivative of u(r). Find the second derivative of l(c) wrt c.
8
Let l(s) be the third derivative of s**6/40 + s**5/4 + 61*s**3/6 + 7*s**2. Find the first derivative of l(y) wrt y.
9*y**2 + 30*y
Let h be 114/36 - (-1)/(-6). What is the third derivative of 2*w**2 + 5*w**5 + 0*w**5 - h*w**5 wrt w?
120*w**2
Let z(o) = 2*o + 3. Let q(c) = -3*c - 23. Let u(m) = -m - 12. Let p(b) = 4*q(b) - 7*u(b). Let r = 7 + -18. Let f(s) = r*z(s) - 4*p(s). Differentiate f(l) wrt l.
-2
Differentiate 11*f**4 - 14 + 16*f**4 - 8*f**4 - 3 wrt f.
76*f**3
What is the second derivative of 0*i**4 + 9*i**4 - 8*i**4 + 4*i wrt i?
12*i**2
Let b = 961/12 + -80. Let s(l) be the second derivative of 0*l**2 + l + 0 + b*l**4 - 1/2*l**3. What is the second derivative of s(c) wrt c?
2
What is the first derivative of -16*l**4 + 3 + 48*l**4 - 2 wrt l?
128*l**3
Let k(b) be the third derivative of 0 + 0*b - 7/120*b**6 + 0*b**3 - 4*b**2 + 1/24*b**4 + 0*b**5. What is the second derivative of k(n) wrt n?
-42*n
Let d(k) be the second derivative of 1/2*k**5 - 2/3*k**3 + 0*k**2 + 0 + 8*k + 0*k**4. What is the second derivative of d(u) wrt u?
60*u
Let d(x) = -11*x**5 + 4*x**4 - 4*x**3 + 13*x - 4. Let v(q) = -q**4 + q**3 - q + 1. Let w(u) = -d(u) - 4*v(u). What is the second derivative of w(l) wrt l?
220*l**3
Suppose -3*u - 13 + 1 = 0. Let h(a) = -a**2 - 6*a - 6. Let p be h(u). What is the third derivative of 2*y**6 - 4*y**6 + 0*y**2 - p*y**2 wrt y?
-240*y**3
Let o(v) be the third derivative of 0 - 3*v**2 + 0*v + 1/8*v**4 - 1/3*v**3. What is the derivative of o(c) wrt c?
3
Let l(z) be the third derivative of 0*z**3 + 1/4*z**4 - 6*z**2 + 0*z + 1/30*z**5 + 0. Find the second derivative of l(q) wrt q.
4
Let i(t) = -15*t**2 + 3*t - 10. Let q(a) = 29*a**2 - 5*a + 21. Let c(l) = -5*i(l) - 3*q(l). What is the first derivative of c(d) wrt d?
-24*d
Let n(s) = -9*s**3 - 7*s + 10. Let h(q) = 6*q**3 + 3 + 4*q - 2*q - 10 + 3*q. Let g(b) = -7*h(b) - 5*n(b). Differentiate g(v) with respect to v.
9*v**2
Let o(x) be the second derivative of 0*x**4 + 1/6*x**3 + 0*x**2 + 4*x + 0 + 1/5*x**5. Find the second derivative of o(d) wrt d.
24*d
What is the second derivative of -8*k**3 - k - 2*k - 113*k**2 + 113*k**2 wrt k?
-48*k
Differentiate 15*x - 9*x + 11 - 2 with respect to x.
6
Let q(a) = -a**2 + a - 1. Let g(y) = 4*y**3 - 6*
|
{
"pile_set_name": "DM Mathematics"
}
|
4:06 AM?
11:45 AM
How many minutes are there between 5:13 AM and 10:05 AM?
292
How many minutes are there between 12:37 AM and 11:18 AM?
641
What is 173 minutes before 11:06 PM?
8:13 PM
What is 691 minutes after 10:03 AM?
9:34 PM
How many minutes are there between 3:14 PM and 2:54 AM?
700
How many minutes are there between 12:41 PM and 6:25 PM?
344
What is 706 minutes after 1:48 AM?
1:34 PM
What is 430 minutes after 3:14 AM?
10:24 AM
How many minutes are there between 2:18 AM and 4:42 AM?
144
How many minutes are there between 11:03 AM and 9:08 PM?
605
What is 704 minutes before 12:26 PM?
12:42 AM
How many minutes are there between 6:08 AM and 7:40 AM?
92
What is 681 minutes after 9:06 PM?
8:27 AM
How many minutes are there between 4:46 PM and 6:49 PM?
123
How many minutes are there between 7:18 PM and 1:57 AM?
399
How many minutes are there between 11:46 PM and 3:56 AM?
250
What is 508 minutes before 3:33 PM?
7:05 AM
How many minutes are there between 2:42 PM and 10:55 PM?
493
How many minutes are there between 7:27 PM and 6:45 AM?
678
What is 665 minutes after 8:14 AM?
7:19 PM
What is 355 minutes after 9:21 AM?
3:16 PM
How many minutes are there between 1:15 AM and 4:21 AM?
186
How many minutes are there between 9:06 AM and 8:34 PM?
688
How many minutes are there between 10:45 PM and 5:49 AM?
424
What is 609 minutes before 8:23 PM?
10:14 AM
What is 418 minutes after 5:20 PM?
12:18 AM
What is 36 minutes after 6:13 AM?
6:49 AM
How many minutes are there between 2:26 PM and 3:04 PM?
38
How many minutes are there between 11:37 AM and 4:35 PM?
298
How many minutes are there between 1:22 AM and 12:25 PM?
663
How many minutes are there between 4:40 PM and 6:22 PM?
102
What is 323 minutes before 6:42 AM?
1:19 AM
What is 697 minutes after 7:59 PM?
7:36 AM
How many minutes are there between 10:36 AM and 8:18 PM?
582
What is 91 minutes before 9:03 AM?
7:32 AM
How many minutes are there between 5:15 PM and 6:32 PM?
77
What is 59 minutes after 9:32 AM?
10:31 AM
How many minutes are there between 9:40 PM and 7:29 AM?
589
What is 293 minutes after 7:21 PM?
12:14 AM
How many minutes are there between 2:40 AM and 9:05 AM?
385
What is 443 minutes after 7:53 PM?
3:16 AM
What is 154 minutes before 8:08 PM?
5:34 PM
What is 714 minutes before 6:55 PM?
7:01 AM
How many minutes are there between 6:02 PM and 8:36 PM?
154
How many minutes are there between 8:24 PM and 6:20 AM?
596
What is 120 minutes before 9:43 PM?
7:43 PM
What is 237 minutes after 1:47 AM?
5:44 AM
What is 675 minutes after 8:40 PM?
7:55 AM
How many minutes are there between 11:51 PM and 2:46 AM?
175
What is 556 minutes before 4:45 AM?
7:29 PM
What is 167 minutes before 6:52 PM?
4:05 PM
What is 503 minutes before 12:53 AM?
4:30 PM
How many minutes are there between 10:52 PM and 7:29 AM?
517
What is 458 minutes before 2:31 AM?
6:53 PM
What is 92 minutes after 4:05 PM?
5:37 PM
What is 309 minutes before 2:05 AM?
8:56 PM
How many minutes are there between 1:46 AM and 1:02 PM?
676
How many minutes are there between 10:23 PM and 6:25 AM?
482
How many minutes are there between 1:43 PM and 8:39 PM?
416
What is 25 minutes before 10:43 AM?
10:18 AM
What is 252 minutes after 2:35 AM?
6:47 AM
What is 318 minutes before 10:29 PM?
5:11 PM
What is 171 minutes before 8:27 AM?
5:36 AM
What is 496 minutes after 12:30 PM?
8:46 PM
How many minutes are there between 2:51 PM and 2:13 AM?
682
What is 63 minutes before 10:20 AM?
9:17 AM
What is 305 minutes before 11:27 AM?
6:22 AM
How many minutes are there between 3:33 AM and 8:37 AM?
304
What is 366 minutes before 2:36 PM?
8:30 AM
How many minutes are there between 2:58 AM and 12:57 PM?
599
What is 458 minutes before 11:09 AM?
3:31 AM
How many minutes are there between 12:49 PM and 6:10 PM?
321
How many minutes are there between 10:45 AM and 8:27 PM?
582
How many minutes are there between 10:52 PM and 8:24 AM?
572
What is 359 minutes after 6:04 AM?
12:03 PM
How many minutes are there between 4:20 PM and 9:29 PM?
309
What is 710 minutes after 9:21 PM?
9:11 AM
How many minutes are there between 12:30 PM and 4:55 PM?
265
What is 48 minutes after 2:01 PM?
2:49 PM
How many minutes are there between 11:07 AM and 6:26 PM?
439
How many minutes are there between 11:24 AM and 7:47 PM?
503
What is 481 minutes after 6:42 AM?
2:43 PM
What is 51 minutes before 3:57 AM?
3:06 AM
What is 581 minutes after 8:46 PM?
6:27 AM
What is 304 minutes after 7:04 AM?
12:08 PM
How many minutes are there between 12:14 AM and 6:14 AM?
360
How many minutes are there between 7:07 PM and 6:56 AM?
709
How many minutes are there between 8:03 PM and 10:06 PM?
123
How many minutes are there between 4:23 PM and 1:47 AM?
564
How many minutes are there between 4:30 AM and 3:33 PM?
663
What is 439 minutes after 4:19 PM?
11:38 PM
What is 612 minutes before 8:27 AM?
10:15 PM
What is 102 minutes after 10:48 AM?
12:30 PM
How many minutes are there between 2:10 AM and 8:52 AM?
402
How many minutes are there between 9:53 AM and 7:37 PM?
584
What is 318 minutes before 5:02 AM?
11:44 PM
How many minutes are there between 4:59 PM and 10:30 PM?
331
How many minutes are there between 7:43 AM and 2:33 PM?
410
How many minutes are there between 12:51 AM and 1:16 AM?
25
How many minutes are there between 9:33 PM and 7:24 AM?
591
How many minutes are there between 9:10 PM and 1:21 AM?
251
How many minutes are there between 8:33 PM and 8:04 AM?
691
What is 581 minutes after 1:36 PM?
11:17 PM
What is 485 minutes after 8:51 AM?
4:56 PM
How many minutes are there between 12:03 AM and 2:04 AM?
121
How many minutes are there between 12:55 PM and 8:07 PM?
432
How many minutes are there between 5:41 PM and 1:09 AM?
448
What is 546 minutes before 11:41 AM?
2:35 AM
What is 279 minutes before 11:23 PM?
6:44 PM
What is 153 minutes before 1:17 AM?
10:44 PM
What is 669 minutes before 10:17 AM?
11:08 PM
How many minutes are there between 9:09 AM and 9:36 AM?
27
What is 490 minutes before 12:27 AM?
4:17 PM
What is 657 minutes before 9:00 AM?
10:03 PM
How many minutes are there between 3:26 PM and 10:50 PM?
444
How many minutes are there between 6:39 AM and 11:32 AM?
293
How many minutes are there between 12:09 PM and 3:38 PM?
209
What is 52 minutes before 3:55 PM?
3:03 PM
What is 459 minutes after 12:53 AM?
8:32 AM
How many minutes are there between 2:57 AM and 9:43 AM?
406
What is 252 minutes after 11:13 AM?
3:25 PM
How many minutes are there between 8:15 PM and 12:13 AM?
238
What is 107 minutes after 12:36 AM?
2:23 AM
What is 96 minutes before 1:57 AM?
12:21 AM
How many minutes are there between 1:12 AM and 6:34 AM?
322
How many minutes are there between 8:46 AM and 7:10 PM?
624
How many minutes are there between 8:58 AM and 5:06 PM?
488
What is 67 minutes before 1:59 PM?
12:52 PM
How many minutes are there between 9:24 PM and 6:43 AM?
559
What is 54 minutes before 2:44 PM?
1:50 PM
What is 371 minutes before 5:56 PM?
11:45 AM
How many minutes are there between 3:28 AM and 4:35 AM?
67
How many minutes are there between 3:34 PM and 4:28 PM?
54
What is 446 minutes before 7:48 AM?
12:22 AM
How many minutes are there between 2:05 PM and 1:06 AM?
661
How many minutes are there between 1:51 AM and 6:51 AM?
300
What is 313 minutes before 6:24 AM?
1:11 AM
What is 260 minutes after 1:35 PM?
5:55 PM
How many minutes are there between 6:12 PM and 8:51 PM?
159
How many minutes are there between 2:17 PM and 9:01 PM?
404
How many minutes are there between 12:08 PM and 2:05 PM?
117
What is 453 minutes after 9:34 PM?
5:07 AM
What is 639 minutes after 7:03 PM?
5:42 AM
What is 400 minutes after 3:19 AM?
9:59 AM
What is 714 minutes before 5:43 AM?
5:49 PM
What is 302 minutes before 9:06 PM?
4:04 PM
How many minutes are there between 2:41 AM and 10:17 AM?
456
How many minutes are there between 8:41 AM and 8:08 PM?
687
How many minutes are there between 12:50 PM and 5:33 PM?
283
What is 59 minutes before 11:08 PM?
10:09 PM
What is 504 minutes after 4:26 PM?
12:50 AM
How many minutes are there between 4:04 PM and 1:28 AM?
564
How many minutes are there between 2:33 PM and 10:44 PM?
491
How many minutes are there between 3:55 PM and 3:34 AM?
699
What is 559 minutes before 10:08 AM?
12:49 AM
What is 618 minutes after 10:46 AM?
9:04 PM
How many minutes are th
|
{
"pile_set_name": "DM Mathematics"
}
|
from memmmmmmmem.
1/55
Three letters picked without replacement from ppnpppppnp. Give prob of picking 1 n and 2 p.
7/15
Three letters picked without replacement from pgpxccdpppgrrppx. What is prob of picking 1 x and 2 g?
1/280
Three letters picked without replacement from nhhhsndsshdsnsnsr. What is prob of picking 1 r and 2 d?
1/680
What is prob of picking 2 u and 2 e when four letters picked without replacement from {e: 3, k: 1, h: 1, i: 4, f: 1, u: 2}?
1/165
Three letters picked without replacement from bbfbbbbbzzzjbjzbzmzb. Give prob of picking 1 b and 2 z.
5/38
Three letters picked without replacement from {e: 4, m: 2, a: 2, x: 2}. What is prob of picking 3 e?
1/30
Two letters picked without replacement from yypwywww. What is prob of picking 2 y?
3/28
What is prob of picking 4 z when four letters picked without replacement from zzzzzzzzz?
1
Calculate prob of picking 3 y and 1 d when four letters picked without replacement from ydddydddyd.
1/30
Three letters picked without replacement from {e: 7, u: 6}. Give prob of picking 3 u.
10/143
Calculate prob of picking 2 y when two letters picked without replacement from byttbtyttyy.
6/55
Three letters picked without replacement from opnba. What is prob of picking 1 b, 1 o, and 1 n?
1/10
Two letters picked without replacement from {l: 4, r: 14}. Give prob of picking 1 r and 1 l.
56/153
Three letters picked without replacement from qnkpsbs. What is prob of picking 1 n, 1 b, and 1 s?
2/35
Calculate prob of picking 3 t and 1 l when four letters picked without replacement from lttltt.
8/15
What is prob of picking 1 g and 3 j when four letters picked without replacement from jujuauhauaggoauuoojo?
2/4845
Calculate prob of picking 1 i and 1 p when two letters picked without replacement from pipiipp.
4/7
Calculate prob of picking 1 d and 3 t when four letters picked without replacement from adtttttdtt.
1/3
Three letters picked without replacement from {c: 4, j: 2, a: 4, n: 1}. What is prob of picking 1 n, 1 a, and 1 c?
16/165
Two letters picked without replacement from uhkppkppptphkppi. What is prob of picking 1 k and 1 h?
1/20
Two letters picked without replacement from {z: 3, w: 1, x: 1, k: 4, i: 4, q: 5}. What is prob of picking 1 x and 1 w?
1/153
What is prob of picking 3 v when three letters picked without replacement from vavvvaavvvvaav?
3/13
Four letters picked without replacement from {o: 2, i: 3}. Give prob of picking 1 o and 3 i.
2/5
Four letters picked without replacement from kqxqkqykxkkkxx. What is prob of picking 2 k and 2 x?
90/1001
What is prob of picking 1 g and 1 s when two letters picked without replacement from {i: 2, s: 2, v: 1, g: 3, t: 2, p: 4}?
6/91
Three letters picked without replacement from {u: 2, q: 1, f: 5, y: 1}. What is prob of picking 3 f?
5/42
Three letters picked without replacement from {l: 2, t: 7, a: 1}. Give prob of picking 1 a and 2 t.
7/40
Two letters picked without replacement from {z: 2, y: 1}. What is prob of picking 2 z?
1/3
Two letters picked without replacement from fxxtxttmtttvtttxtbxm. Give prob of picking 1 m and 1 t.
2/19
Two letters picked without replacement from owqqwjwnoqmw. What is prob of picking 1 o and 1 m?
1/33
What is prob of picking 3 t and 1 u when four letters picked without replacement from ttetqteuetqebtqttueb?
112/4845
Calculate prob of picking 4 u when four letters picked without replacement from {u: 10, l: 9}.
35/646
What is prob of picking 2 u when two letters picked without replacement from {a: 1, o: 1, u: 2, n: 1}?
1/10
Three letters picked without replacement from ibwwq. What is prob of picking 1 q, 1 i, and 1 b?
1/10
Three letters picked without replacement from {f: 2, o: 17}. Give prob of picking 2 o and 1 f.
16/57
Two letters picked without replacement from ubbbznxulunbbxbxxubx. Give prob of picking 1 z and 1 b.
7/190
What is prob of picking 1 r, 1 q, and 2 b when four letters picked without replacement from ohqgobbbghqorq?
9/1001
Two letters picked without replacement from {s: 1, m: 2, p: 5, g: 9, j: 1}. What is prob of picking 1 s and 1 g?
1/17
Calculate prob of picking 1 b, 1 o, and 2 z when four letters picked without replacement from {z: 2, o: 1, b: 1, q: 1}.
1/5
Two letters picked without replacement from oggogoo. What is prob of picking 1 o and 1 g?
4/7
Three letters picked without replacement from {j: 6, m: 3, a: 2, o: 2, v: 3}. Give prob of picking 1 j and 2 a.
3/280
Calculate prob of picking 1 k and 1 x when two letters picked without replacement from zciczzzikczzxcjc.
1/120
Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {w: 1, p: 2, e: 1, b: 1, c: 2}.
2/21
Three letters picked without replacement from {m: 2, y: 2, w: 2}. Give prob of picking 2 w and 1 m.
1/10
Three letters picked without replacement from zzrazzzxzzxrrrzz. What is prob of picking 1 z, 1 r, and 1 a?
9/140
What is prob of picking 1 g and 1 r when two letters picked without replacement from {r: 4, g: 3, w: 1, i: 3}?
12/55
What is prob of picking 3 s when three letters picked without replacement from {u: 2, l: 7, s: 4}?
2/143
Four letters picked without replacement from tottooottoooo. Give prob of picking 4 o.
14/143
Four letters picked without replacement from cfcfhccccffcffc. Give prob of picking 3 f and 1 h.
4/273
Three letters picked without replacement from {p: 2, h: 1, a: 1, s: 1, r: 1, n: 1}. Give prob of picking 1 s, 1 r, and 1 a.
1/35
Two letters picked without replacement from {g: 5, l: 1, x: 1, e: 4, p: 1, w: 1}. Give prob of picking 1 p and 1 e.
2/39
Four letters picked without replacement from {u: 1, q: 2, m: 6, s: 4}. What is prob of picking 1 u, 1 q, and 2 m?
6/143
Three letters picked without replacement from {j: 2, n: 1}. What is prob of picking 3 j?
0
Three letters picked without replacement from wrwxrwxwxwwwoxw. Give prob of picking 1 r, 1 x, and 1 o.
8/455
What is prob of picking 1 g and 1 i when two letters picked without replacement from {o: 4, x: 2, g: 1, i: 7}?
1/13
Three letters picked without replacement from xbxxxxssxxxasibo. What is prob of picking 1 i, 1 o, and 1 b?
1/280
Two letters picked without replacement from nnknnnaxa. What is prob of picking 2 k?
0
Four letters picked without replacement from ooioooikk. Give prob of picking 2 o and 2 k.
5/63
Three letters picked without replacement from {q: 1, c: 11, t: 7}. Give prob of picking 2 t and 1 c.
77/323
Four letters picked without replacement from rwrrwww. What is prob of picking 4 w?
1/35
What is prob of picking 2 w when two letters picked without replacement from {n: 12, w: 7}?
7/57
Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {f: 1, j: 1, i: 4, z: 4, q: 2, b: 3}.
18/455
What is prob of picking 1 m and 1 y when two letters picked without replacement from mjyijeqiiiyeijjji?
1/68
Four letters picked without replacement from {o: 3, y: 8, i: 1, h: 2, d: 5}. What is prob of picking 2 h, 1 d, and 1 o?
5/1292
Four letters picked without replacement from vwrrmpp. Give prob of picking 1 m, 1 v, and 2 r.
1/35
What is prob of picking 2 u when two letters picked without replacement from urzuuuvvquuvvuur?
7/30
What is prob of picking 3 f when three letters picked without replacement from ffffqfffqffqqfffqf?
143/408
Three letters picked without replacement from {n: 1, y: 4, d: 4, r: 2}. What is prob of picking 2 y and 1 r?
4/55
Three letters picked without replacement from {n: 1, u: 2, i: 2, s: 2, p: 4, b: 3}. Give prob of picking 2 u and 1 n.
1/364
Four letters picked without replacement from {a: 1, c: 1, p: 2, d: 1, j: 1, t: 1}. What is prob of picking 1 c, 1 j, 1 p, and 1 t?
2/35
Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {j: 3, v: 3}.
3/5
Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {f: 1, c: 8, b: 4, e: 5}.
4/153
Calculate prob of picking 1 l and 2 f when three letters picked without replacement from {g: 2, d: 1, f: 2, q: 1, l: 1}.
1/35
What is prob of picking 2 x and 1 h when three letters picked without replacement from {x: 2, h: 2}?
1/2
Two letters picked without replacement from ccoonkrlnlcl. What is prob of picking 1 n and 1 k?
1/33
Two letters picked without replacement from lkwmkbb. Give prob of picking 1 k
|
{
"pile_set_name": "DM Mathematics"
}
|
Convert 1234 (base 6) to base 7.
622
What is 288 (base 15) in base 5?
4303
1030 (base 9) to base 4
23310
What is -2547 (base 10) in base 3?
-10111100
12311 (base 4) to base 14
233
Convert -65b (base 14) to base 2.
-10011101001
What is -125 (base 12) in base 2?
-10101101
-382 (base 16) to base 13
-541
What is -84b (base 12) in base 7?
-3350
3001021 (base 4) to base 2
11000001001001
What is 377 (base 12) in base 6?
2231
What is -a315 (base 12) in base 11?
-12358
11130 (base 13) to base 6
355210
2635 (base 14) to base 7
25365
Convert -15610 (base 7) to base 3.
-20001121
Convert -45223 (base 6) to base 7.
-24342
Convert -3783 (base 10) to base 5.
-110113
-5510 (base 11) to base 5
-213041
Convert a12a (base 12) to base 7.
101620
Convert 213103 (base 4) to base 15.
b2a
584 (base 14) to base 6
5024
Convert -1201 (base 4) to base 3.
-10121
282 (base 12) to base 13
239
What is 3a8 (base 14) in base 7?
2101
What is -3386 (base 16) in base 9?
-20075
Convert 30c (base 13) to base 2.
1000000111
Convert -213101 (base 4) to base 2.
-100111010001
Convert aa (base 15) to base 11.
136
101100000010 (base 2) to base 12
176a
Convert -404 (base 6) to base 12.
-104
What is 1960c (base 14) in base 2?
1111101100101100
1ae (base 15) to base 6
1445
24035 (base 7) to base 14
238c
What is 12 (base 4) in base 3?
20
-533 (base 7) to base 2
-100001101
What is -312 (base 9) in base 14?
-142
Convert -111101000 (base 2) to base 7.
-1265
What is -23bb6 (base 12) in base 4?
-23303322
-7b (base 16) to base 7
-234
-3202233 (base 4) to base 7
-60210
What is 20112 (base 5) in base 13?
778
-7200 (base 10) to base 2
-1110000100000
Convert 3043 (base 6) to base 4.
22203
What is 11358 (base 10) in base 14?
41d4
Convert -100000001110 (base 2) to base 5.
-31222
Convert 1110101011 (base 2) to base 8.
1653
Convert 13004 (base 5) to base 2.
1111101100
What is -784 (base 12) in base 3?
-1112001
-7444 (base 8) to base 5
-111001
Convert 795b (base 12) to base 5.
412323
What is 5401 (base 8) in base 6?
21013
3022 (base 4) to base 10
202
-1011001100 (base 2) to base 7
-2042
10010111000011 (base 2) to base 8
22703
23360 (base 7) to base 4
1132010
Convert 689 (base 13) to base 6.
5115
971 (base 15) to base 2
100001010011
What is -1000 (base 2) in base 3?
-22
Convert 98 (base 11) to base 6.
255
25440 (base 7) to base 9
10220
What is 20212321 (base 4) in base 14?
cbc5
Convert 5d8 (base 16) to base 9.
2042
Convert 12 (base 7) to base 6.
13
15155 (base 13) to base 11
27989
What is 2532 (base 7) in base 6?
4230
What is -2873 (base 15) in base 2?
-10000111010010
152 (base 9) to base 12
a8
Convert -150 (base 10) to base 4.
-2112
-907 (base 10) to base 8
-1613
What is e860 (base 16) in base 6?
1135224
170c (base 15) to base 9
6723
What is 918 (base 14) in base 3?
2110011
Convert 11414 (base 10) to base 8.
26226
Convert 7a01 (base 12) to base 6.
142401
What is 4757 (base 10) in base 14?
1a3b
986 (base 16) to base 11
1917
Convert 511052 (base 6) to base 8.
116750
-111000011111000 (base 2) to base 5
-1411140
What is -47a (base 13) in base 12?
-549
Convert -2 (base 13) to base 7.
-2
Convert 34534 (base 9) to base 11.
16341
-101010111 (base 2) to base 8
-527
What is -52501 (base 7) in base 10?
-12937
Convert 2110011 (base 3) to base 14.
918
Convert -6645 (base 7) to base 5.
-34020
Convert -1511 (base 6) to base 12.
-297
What is 441001 (base 7) in base 15?
17d01
-200a (base 14) to base 3
-21112122
1691 (base 13) to base 9
4508
Convert 205 (base 15) to base 6.
2035
Convert -2c02 (base 13) to base 4.
-1210120
What is 2273 (base 13) in base 10?
4826
Convert -6a7 (base 15) to base 5.
-22012
3102 (base 5) to base 3
112220
-a545 (base 12) to base 10
-18053
Convert 100001220 (base 3) to base 9.
10056
a80c (base 16) to base 2
1010100000001100
Convert 1000010100010 (base 2) to base 5.
114013
What is 20160 (base 9) in base 7?
53436
2d (base 15) to base 4
223
Convert 3523 (base 8) to base 5.
30000
What is -11532 (base 8) in base 15?
-1704
-10a (base 16) to base 8
-412
-58632 (base 9) to base 11
-27463
Convert 197 (base 13) to base 15.
148
What is 1144 (base 9) in base 15?
3ba
What is -2523 (base 6) in base 8?
-1163
What is -10332 (base 4) in base 6?
-1250
11461 (base 7) to base 4
232213
Convert -1433 (base 7) to base 12.
-3ab
-11272 (base 8) to base 16
-12ba
What is -1586 (base 15) in base 9?
-6310
245 (base 10) to base 16
f5
Convert 176 (base 13) to base 14.
150
-10431 (base 9) to base 16
-1b01
Convert 56331 (base 8) to base 14.
893b
11214 (base 8) to base 10
4748
Convert -793 (base 10) to base 16.
-319
What is 9b5 (base 12) in base 6?
10345
1210 (base 10) to base 12
84a
-23341 (base 5) to base 7
-5006
What is 673 (base 14) in base 5?
20102
Convert 1212 (base 3) to base 2.
110010
Convert -503151 (base 6) to base 12.
-1aab7
Convert -7555 (base 10) to base 6.
-54551
Convert 15215 (base 6) to base 10.
2459
What is -9aa3 (base 14) in base 4?
-12202233
What is 10112011 (base 3) in base 13?
1228
What is -16133 (base 7) in base 6?
-32552
-501 (base 7) to base 16
-f6
-104345 (base 6) to base 9
-13032
Convert -244231 (base 5) to base 6.
-111044
-2013 (base 5) to base 12
-196
Convert b971 (base 12) to base 5.
1123024
What is -11432 (base 6) in base 5?
-23201
Convert 11111 (base 4) to base 6.
1325
-2212102 (base 4) to base 8
-24622
10101010101010 (base 2) to base 15
3382
What is -154c (base 14) in base 11?
-2938
What is -585 (base 9) in base 4?
-13202
What is 504423 (base 6) in base 4?
21233133
100000110111 (base 2) to base 15
953
-3464 (base 8) to base 7
-5243
What is 515 (base 10) in base 13?
308
Convert b7 (base 14) to base 13.
c5
What is 1010001011 (base 2) in base 9?
803
Convert -25735 (base 10) to base 4.
-12102013
Convert -100001010110 (base 2) to base 16.
-856
What is 4d5 (base 15) in base 2?
10001001100
What is -12113 (base 4) in base 6?
-1515
What is -3989 (base 15) in base 14?
-4691
-20555 (base 10) to base 16
-504b
-32330 (base 4) to base 12
-678
What is 149b (base 13) in base 9?
4104
Convert 177351 (base 8) to base 12.
31921
Convert 10010000011 (base 2) to base 15.
520
What is -95 (base 14) in base 12?
-ab
22133 (base 4) to base 2
1010011111
-104255 (base 8) to base 13
-12c06
Convert -10868 (base 9) to base 13.
-3404
What is -79a (base 11) in base 13?
-587
What is -20c0 (base 16) in base 10?
-8384
3115 (base 13) to base 12
3b0a
Convert 2b64 (base 13) to base 6.
45155
-311210 (base 4) to base 12
-1b98
What is 1561 (base 9) in base 10?
1189
10221102 (base 3) to base 16
b39
-457 (base 10) to base 9
-557
b0 (base 13) to base 4
2033
-12070 (base 16) to base 10
-73840
55881 (base 10) to base 8
155111
What is be (base 16) in base 8?
276
What is 201202 (base 3) in base 12?
385
Convert 413 (base 5) to base 15.
73
-7bc6 (base 16) to base 7
-161244
-267 (base 14) to base 5
-3413
What is -21140 (base 6) in base 11?
-2178
11010001101 (base 2) to base 8
3215
Convert 330 (base 6) to base 14.
90
What is -10001000111 (base 2) in base 7?
-3123
Convert 22120111 (base 3) to base 10.
6250
-133330 (base 5) to base 10
-5465
c4 (base 14) to base 15
b7
What is 7061 (base 8) in base 15?
1123
What is -162225 (base 7) in base 16?
-7d10
Convert 31310 (base 4) to base 15.
3de
120021 (base 3) to base 2
110011100
Convert 11011011110 (base 2) to base 4.
123132
What is -7447 (base 15) in base 10?
-24592
What is 493 (base 11) in base 8?
1112
-1124413 (base 5) to base 15
-618d
What is 24452 (base 6) in base 5?
104012
What is -11012 (base 3) in base 12?
-95
Convert -1315 (base 15) to base 3.
-12120202
c0 (base 13) to base 8
234
6034 (base 7) to base 8
4043
What is -16e6 (base 16) in base 12?
-3486
What is -e6d (base 15) in base 12?
-1a71
What is -13014 (base 6) in base 10?
-1954
Convert 3640 (base 13) to base 16.
1de9
10382 (base 9) to base 14
2714
-44410 (base 6) to base 2
-1100000110110
What is 313210 (base 4) in base 14?
1420
-221112120 (base 3) to base 14
-6adc
Convert 52044 (base 7) to base 2.
11000110110011
What is -11131 (base 4) in base 11?
-298
What is -d44 (base 16) in base 13?
-1713
Convert 19 (base 12) to base 9.
23
What is 1112010 (base 3) in base 9?
1463
-21120 (base 3) to base 5
-1304
What is 1354 (base 7) in base 12?
381
Convert 1d68a (base 14) to base 2.
10010011001111010
-22452 (base 12) to base 2
-1011000111111110
-1002002 (base 4)
|
{
"pile_set_name": "DM Mathematics"
}
|
212. Suppose -2*j - 3*j + q = 4*c, 4*j + 4*c = 1724. Suppose -2*b + j = 97. Is 24 a factor of b?
True
Suppose 22*h - 18*h = -k + 7736, 0 = h + 3. Is k a multiple of 298?
True
Let y(s) = -3 + 4 - 4 - 15 + 3*s. Let r be y(7). Suppose f = -r*x + 6*x - 89, x + 3*f - 33 = 0. Is 10 a factor of x?
True
Suppose -822804 - 146808 = -679*c. Does 3 divide c?
True
Let p = -9 - -312. Let l = -171 + p. Is l a multiple of 28?
False
Let t be (-12)/54 + (-76)/(-18). Let j = 629 + -164. Is 22 a factor of t/(-8) - j/(-6)?
False
Let c be ((-175)/3 + 3)*(-21)/2. Let r = c + -350. Does 57 divide r?
False
Let m = 14593 + -10106. Is m a multiple of 7?
True
Suppose -5*b - 4*x = -1105 - 525, 4*x + 350 = b. Suppose 0 = 43*d - 49*d + b. Is d a multiple of 4?
False
Let j = -33154 - -39735. Does 33 divide j?
False
Let l(x) = -159*x - 374. Is 149 a factor of l(-9)?
False
Let z(v) be the first derivative of 14*v**3/3 + 25*v**2/2 - 5*v + 78. Does 14 divide z(-5)?
False
Let j = 191 + -191. Let r = -42 + 92. Let q = r - j. Is 10 a factor of q?
True
Let y(a) = -3*a**3 + 57*a - 30. Does 70 divide y(-8)?
True
Suppose y = -x - 488, 2*x + 4*y = -3*x - 2443. Let c = x - -764. Is c a multiple of 21?
True
Let c(f) = f**2 + 15*f - 3. Let d be c(-11). Let g = d - -19. Let l = g + 58. Is 10 a factor of l?
True
Let l(k) = -144*k**2 + 6*k + 7. Let g be l(-2). Does 12 divide (-7)/((-21)/(-12)) - g?
False
Suppose -207*l + 923290 = -548127 + 278062. Does 5 divide l?
True
Let i(t) = t**3 - 29*t**2 - 115*t + 82. Is 14 a factor of i(33)?
False
Let n = 303 + -274. Suppose 2*u + 11934 = n*u. Does 15 divide u?
False
Let s = -38 + 51. Suppose -18*j + s*j = 2235. Does 29 divide (2 - j/(-6))*(-9 - -7)?
True
Let o(a) = 101*a**2 + 18*a + 172. Does 24 divide o(-6)?
False
Suppose -7 = -2*z - 5*t + 4, -2 = -2*t. Suppose -z = -l - 0*l. Suppose 2*m = 51 - l. Is 6 a factor of m?
True
Let w = -242 + 228. Is 179 + 5 + w + 5 a multiple of 46?
False
Let p = 165 + -163. Suppose -4*z = 2*w - 112, 4*z - 152 = -3*w + p*z. Is 6 a factor of w?
True
Let u be 101 + (8 + -3)/(-1). Is (26/8)/(100/u + -1) a multiple of 67?
False
Suppose -19*p - 26*p + 158928 = 41*p. Is p a multiple of 44?
True
Let y = -60 - -57. Let z be (-28)/4 - y - (-2 + 2). Is 40 a factor of (254*2/z)/(-1)?
False
Let h(x) = x**2 + 32*x + 121. Let y be h(-29). Suppose -8976 = y*m - 42*m. Is m a multiple of 18?
False
Is 14/2 + (51186/(-285))/(6/(-345)) a multiple of 41?
False
Suppose 0 = -3*r + 88 - 85, 0 = -4*c + r + 40051. Does 17 divide c?
True
Let u be (-518)/(-3)*99/(-22). Let t = -387 - u. Suppose 3*d = 4*g + t, 4*g - g = 4*d - 527. Is d a multiple of 14?
False
Suppose -x - 2*i = -6*i + 3498, x = -3*i - 3533. Let f = -2242 - x. Is f a multiple of 44?
True
Suppose 29*w + 309549 = 2052304. Is (-4)/(-9) + w/765 a multiple of 29?
False
Let q = -369 - -755. Let r = -354 + q. Does 3 divide r?
False
Let q be (-26)/10 - ((-30)/25)/(-3). Let b be (q - -3)*(-4)/8. Suppose -5 = -k + 5*h, b*k + 20 = k - 2*h. Does 30 divide k?
True
Let y = 428 - 13. Let u = 523 - y. Is 8 a factor of u?
False
Suppose -2*c + 12 = -i, 2*c - i - 30 = -3*c. Suppose c*p + 1004 = 236. Let f = p + 347. Is f a multiple of 9?
False
Suppose -z - 5 = 3*i, -4*z = -2*i + i - 45. Suppose z = 3*w - k, -w - 6*k + k = -30. Suppose -4*h + 2*h = -w*s - 171, -4*h = 4*s - 384. Does 19 divide h?
False
Let f be (-51)/357 + 194/(-14). Let t(x) = -22 + x - 10*x + 8. Is t(f) a multiple of 14?
True
Let v be ((0 + -1)*1)/(1/(-33)). Let c = 48 - v. Suppose -f = -1, -4*q + 3*f + c = 6*f. Is 3 a factor of q?
True
Let c(j) = 7775*j**2 + 6*j + 7. Does 9 divide c(-1)?
True
Suppose 4*o - h = 3063, 5*o - 14*h = -11*h + 3834. Suppose 3*q + 0*j - 455 = j, -3*j - o = -5*q. Is q a multiple of 15?
True
Let c(t) = t**3 + 19*t**2 - 73*t + 68. Suppose -11*i - 279 = -37. Is 37 a factor of c(i)?
True
Suppose -4*s + 350820 = -4*h, 2659*s - 2*h = 2662*s - 263100. Does 21 divide s?
False
Suppose 5*c = 2*c + 4*n - 121, 3*n = 2*c + 82. Is 10/35 + -2 + (-4400)/c a multiple of 10?
False
Let u = 63 - 45. Let b(a) = -60*a + 954. Let m be b(16). Is 5 a factor of (-2)/(-3) + (m - (-852)/u)?
False
Let w(b) = b. Let p(f) be the second derivative of -f**4/12 + 29*f**3/6 + 2*f**2 + 3*f. Let n(j) = p(j) - 5*w(j). Is n(19) a multiple of 18?
False
Let b(o) = 17*o - 8. Let a be b(-3). Let u = a - -61. Is u*1/(-4)*(-100)/2 a multiple of 9?
False
Let m = 20823 + -17504. Does 73 divide m?
False
Suppose -10208 = -5*s + 3*i - 0*i, -5*i = -2*s + 4068. Suppose 0 = 27*c + c - s. Is 3 a factor of c?
False
Suppose 795440 = -167*s + 207*s. Does 65 divide s?
False
Is (-2)/(-3*6/90) - -1768 a multiple of 2?
True
Let x(u) = -u**3 + 39*u**2 - 43*u + 116. Let j be (16/(-24))/((-672)/333 - -2). Is x(j) a multiple of 60?
False
Let c be (-2)/((-30)/(-9) - 4) - 243. Let q = c + 391. Does 14 divide q?
False
Suppose -13*c = -9*c. Suppose 0 = 4*i - w - 17, c*w = 2*i - 2*w - 16. Is -8*(2 + -5)/i a multiple of 3?
False
Let a(b) = -18*b - 341. Is 4 a factor of a(-26)?
False
Suppose -b + 8*c - 3*c = -13035, 5*c = -3*b + 39105. Does 79 divide b?
True
Let q(p) = 84*p - 12. Let s be q(1). Suppose -s*a + 75*a - 1989 = 0. Is a a multiple of 17?
True
Suppose 5*v = 5*s + 35, -7*v - 4*s = -2*v - 8. Suppose 2*z - 3489 - 95 = -v*n, 2*n - 5*z - 1792 = 0. Is 28 a factor of n?
True
Let a = 39126 - 28434. Is 27 a factor of a?
True
Does 46 divide (3/1)/(534/2984882)?
False
Let t(w) = -179*w - 1479. Is 145 a factor of t(-25)?
False
Is 46 a factor of (-1132833)/(-62)*(-18)/(-27)?
False
Is (8378/(-3))/((-30)/5*10/90) a multiple of 31?
False
Let g = 147513 + -100269. Is 124 a factor of g?
True
Let c be (0 - (2 + -4)) + 2. Suppose 0 = 3*n + c*a + 1, 11 = 3*n - a + 2*a. Suppose 8*k - n*s - 210 = 3*k, -2*k = -s - 83. Does 14 divide k?
False
Does 7 divide ((-602)/3)/((-72)/1188)?
True
Let z be (-10 - (-448)/49)/(2/602). Let m = -150 - z. Is m even?
True
Let x(k) = -27 - 12 - 2*k + 13. Let s be x(-13). Suppose s = 2*g + g - 84. Is 7 a factor of g?
True
Let d be (-3)/(9/(-6))*(-892)/(-8). Let h = 34 + d. Is 23 a factor of h?
False
Let q(z) = z**2 + 4*z - 8. Let n be q(-6). Suppose 1184 = -27*v + 43*v. Is v + n*(5 - 6) a multiple of 14?
True
Let u be (38/10 + (-1)/(-5))*-1. Let q(g) = -20*g**2 - 2*g - 15. Let b be q(u). Let f = -119 - b. Is f a multiple of 26?
True
Suppose 0 = 3*r - 4*w + 22, -2*w = 5*r - r. Is (-39)/r*126/27 a multiple of 13?
True
Suppose 5*k = 4*w - 7604, -2*k + 6082 = -6*k + 2*w. Let i be 144/20*k/(-6). Suppose -9*s + 48 = -i. Does 18 divide s?
False
Suppose 734*j - 1010*j = -17124144. Is j a multiple of 211?
False
Suppose -31*u = -35*u + 6500. Suppose -u = -0*w - 25*w. Is 14 a factor of w?
False
Let o = -87 - -67. Let g(l) = -l**2 - 23*l + 10. Let v be g(o). Suppose 3*s = -2*s + v. Does 11 divide s?
False
Suppose -6*s + 873 = -189. Suppose -3*z + s = 3*j - 0*z, 3*j + z - 171 = 0. Let a = j - 45. Is a even?
False
Let h(b) = -b**2 - 7*b + 6. Let r be h(-7). Suppose 142 = y - 2*k, k = -3*y + r*k + 428. Suppose -5*c - y = -926. Is c a multiple of 36?
False
Suppose 12 = 16*z - 20. Suppose -657 = -z*s - 91. Is 22 a factor of s?
False
Let b(g) = 7*g + 3. Let a be b(1). Does 50 divide (-5)/(a/16) + 58?
True
Does 82 divide 2/(-9) + (-321079)/(-99)?
False
Let t(k) = 6*k**3 - 2*k**2 - 3*k - 3. Let v be t(-2). Let f = 56 + v. Suppose -3*a - 2*j + 343 = 0, -4*j - 424 = -7*a + f*a. Is 37 a factor of a?
True
Let f = 76 - 74. Is -4 - f - (-14 - 2) a multiple of 2?
True
Let q(z) = 40*z**3 - 2*z**2 + z + 1. Suppose 0 = -7*v + 2*v + 3*y - 212, 2*y - 8 = 0. Let a be ((v/(-70))/((-4)/(-14)))/2. Is q(a) a multiple of 10?
True
Suppose -4*m + 2 = -6. Suppose 5*s + 9 = m*u, -4*s - 15 = -s. Is 2/u + (-444)/(-48) a multiple of 9?
True
Let h(f) = f**3 - 4*f**2 + 8*f. Let j = 103 + -56. Suppose 0 = 16*s - j - 49. Is 12 a factor of h(s)?
True
Let x = -10 + 12. Suppose -3*b = -4*p - 338, p + 220 = x*b - 3*p. Suppose k = 3*o + 74, k = -k - 4*o + b. Is k a multiple of 13?
True
Let n(a) = 5*a**3 + 25*a**2 - 96*a + 92. Is 9 a factor of n(13)?
False
Suppose 0 = -60*g - 3*g - 172500 + 1206204. Is g a multiple of 14?
True
Suppose -5*g - 10 = 0, -2*i + 11*g = 15*g - 7866. Does 8 divide i?
False
Suppose 0 = 4*s - 21 - 1587. Suppose 7*f = 3*r + 2*f - 1239, 0 = -r - 2*f + s. Is 17 a factor of r?
True
Let z(l) = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 = g for n.
-4
Let c(t) be the third derivative of -t**4/24 - 3*t**2. Let o be c(-10). Solve 3*j - o = -4 for j.
2
Suppose 4 = 3*k - 2. Solve -k*j + j - 5 = 0 for j.
-5
Suppose 5*z + 5 = 5*s, -5*z - 3*s + 2 + 1 = 0. Solve 0 = -2*l - z - 2 for l.
-1
Let m(d) = d**3 - 6*d**2 - 11*d + 9. Let v be m(7). Let c = -9 - v. Solve c = 5*n - 0 for n.
2
Let m be (0/9)/(-2*1). Let t be (3 - (m - -3)) + 4. Solve -t*l + 6*l = 0 for l.
0
Suppose 0 = -2*v - 2 + 4. Let k be (-1)/5 + 81/5. Solve -3*x + v = k for x.
-5
Suppose -9*c = -10*c + 6. Suppose -p = -0 - c. Solve s = -s - p for s.
-3
Let v = -3 + 14. Let s(n) = 5 - v*n - 5*n**2 + 11*n - n**3. Let j be s(-5). Solve -3*t + j = -2*t for t.
5
Let d(a) = a**3 - 14*a**2 + 2*a - 13. Let x be d(14). Solve 0*y = 5*y - x for y.
3
Suppose -4*v = -z - 82, 4*v - 4*z - 84 = -2*z. Let c = 3 - 3. Suppose -w = -2*s + 15, 2*w + w + 9 = c. Solve s*y - y = v for y.
4
Let p(u) = -u**2 - 18*u + 3. Let r be p(-18). Let g be 2 - -5*-1*5. Let n = 46 + g. Solve -n = -4*j - r for j.
5
Let k = 3 + -3. Solve k = 2*t - 5 - 1 for t.
3
Suppose -2*l + 6*l = 4. Solve l = 3*p - 2*p for p.
1
Let o = 10 - 24. Let p be ((-6)/4)/(7/o). Solve u + p*u + 16 = 0 for u.
-4
Suppose -3*q - 3 = -5*o + 5, -q + o = 0. Solve 0 = q*b + 11 - 27 for b.
4
Let d(t) = 34*t - 1. Let b be d(1). Suppose -10 + b = u. Let j = -13 + u. Solve -l = l + j for l.
-5
Let b be ((-18)/(-10))/((-6)/(-20)). Solve -5*u = -b*u + 2 for u.
2
Suppose -1 = -r + 2. Suppose k - 3*q + 12 = 0, -4*k - 3*q = -r*k - 18. Solve -k - 1 = 4*x for x.
-1
Let t(s) = 12*s - 2 + 1 + 3 - s**2 + 0. Let i be t(12). Solve -i*c = 8 - 0 for c.
-4
Let r(n) = -5*n. Let t be r(-4). Solve -3*i - t = 2*i for i.
-4
Let x(j) = -j**3 - 8*j**2 + 1. Let l(v) = -v**3 + 6*v**2 - 2*v + 4. Let g be l(6). Let t be x(g). Let d be 48/21 - (-4)/(-14). Solve -t = -d*f + f for f.
1
Let g be (30/(-195) + 72/130)*40. Solve -g = -5*j + j for j.
4
Suppose -3 - 15 = -l + 4*m, 4*l = -2*m. Solve n + l = -0*n for n.
-2
Let i = -9 - -9. Solve n = -i*n - 5 for n.
-5
Let p(u) = u**2 + 14*u - 27. Let a be p(-16). Solve -2*z + 12 = -a*z for z.
-4
Let k be (2 + 1)/(6/4). Let q = 3 + k. Solve 0 = z + 4*z + q for z.
-1
Let l = -2 - -2. Suppose 4*q - 20 + l = 0. Solve 9*r = 4*r + q for r.
1
Let m be 11/55 - (-14)/5. Suppose 52 - 7 = m*l. Solve -7 = 2*j - l for j.
4
Let k be 1 + ((-2)/2 - -2). Suppose -4*i - 5*m + 21 = 0, 0*i = -i + k*m + 2. Let s = 3 - -2. Solve 0 = s*l - i*l + 2 for l.
-2
Suppose 0 = 3*q - 2*u - 96, 3*u + 1 + 8 = 0. Let n = q + -11. Solve 0 = 4*d + 3 - n for d.
4
Let o(u) = 2*u**2 - 9*u - 3. Let k be o(5). Suppose -5*c = -c + k*g - 12, -2*c - 10 = 5*g. Solve -4*d = 7 + c for d.
-3
Let q(k) = -k**3 + 5*k**2 + k + 3. Let g be q(5). Suppose 3*v - v = -g. Let s be v/10 + 17/5. Solve -28 + s = 5*j for j.
-5
Let k(z) = z**2 + z - 11. Let s be k(-5). Solve -5*n + 6 + s = 0 for n.
3
Let r be (-3 + 0)*(-56)/21. Solve 8 = -4*o - r for o.
-4
Let p(j) = j**2 + 11*j + 10. Let t be p(-8). Let v be ((-12)/42)/(2/t). Solve v*i = -i + 6 for i.
2
Let v be (-3)/(2*1/(-2)). Solve 0 = 2*m - v*m for m.
0
Suppose -3*r + 27 = 4*n, 7 = -0*r - r + 4*n. Suppose -2*v + 3 = -z, 4*v + 3*z - 31 = -0*v. Suppose -v*o + 3*o = -2. Solve o*t - 1 = r for t.
3
Let l(s) be the third derivative of s**5/60 - s**3/3 - 2*s**2. Let t be l(2). Solve -b + 4 = -t*b for b.
-4
Let y(b) = -b**3 + 7*b**2 - 6*b + 4. Let k be y(6). Suppose -a = 3*a + 16, -3*c - 14 = 5*a. Solve 0*l - c*l = k for l.
-2
Suppose 0*a + 2 = a. Let m(z) = -z + 10. Let f be m(9). Let x = a + f. Solve n = x*n for n.
0
Suppose 0 = q + 4*q - 25. Suppose 5*h = -d + 22, -5*h - 6 = -q*d - 16. Solve d = -0*k - k for k.
-2
Suppose 4 = 5*w - 11. Solve 0 = 2*u + w + 3 for u.
-3
Let p = 23 + -18. Solve p*y - 12 = y for y.
3
Let x = -16 - -24. Let i = x - 5. Solve r - 1 = i for r.
4
Let h(p) = -p + 10. Let y be h(6). Suppose -25 = 5*a - 0*c - 5*c, -y*a - 5*c + 25 = 0. Solve -2*o + a = -6 for o.
3
Let f be ((-6)/(-4))/((-15)/(-20)). Suppose -f*t - t = 0. Let d be -4 - -5 - (-1 + t). Solve d*b - 8 = -0*b for b.
4
Let l = -24 + 26. Suppose g + 2*r = 7*r + 23, r + 7 = g. Let v = 3 - g. Solve s - l - 3 = v for s.
5
Let t be (-550)/22*8/(-10). Let o(k) = -k**2 + 3*k + 4. Let u be o(3). Let g = 1 - 1. Solve -u*w = t - g for w.
-5
Let g(y) = y**3 - 7*y**2 - 8*y + 13. Let p(w) = -w. Let m(x) = g(x) + 6*p(x). Let z be m(9). Let a be ((-84)/z)/((-2)/14). Solve -4*q + 0 + a = 0 for q.
3
Let b(v) = 2*v + 2. Let w be b(-2). Let z(p) = -p**2 - 2*p + 2. Let i be z(w). Suppose f + i*f = l - 24, -l + f = -16. Solve 2*j - l = -2 for j.
5
Suppose -2*f + 8 + 8 = 0. Suppose 3 - 1 = -2*k + 2*j, 0 = -4*k + 5*j - f. Solve -5*r = k - 23 for r.
4
Let f(l) = l**2 + 8*l - 12. Let s be f(-9). Let n be s*(-6)/(-9)*-1. Solve k - n = -5 for k.
-3
Suppose 3*a = -a + 28. Let s = -20 + 36. Let l be (-1 - (-2 - 0))*3. Solve -s = -a*x + l*x for x.
4
Let i = -31 - -33. Solve c - 3 = -i*c for c.
1
Suppose -24*t = -21*t. Solve t*q = -2*q for q.
0
Suppose -51*x + 41*x = 0. Solve 0*p - 5*p + 10 = x for p.
2
Suppose 2*b - 3*a - 2*a = -5, a = -4*b + 23. Solve -b*p = -11 + 1 for p.
2
Let c(g) = g**2 + 7*g + 8. Let h be c(-6). Solve -h = -f - 3 for f.
-1
Suppose -6 = -5*s + 3*p, 2 = -3*s + p + 8. Solve -2*r = s*r + 10 for r.
-2
Suppose 5*y = -z + 24 - 6, 0 = 4*z - 5*y + 3. Suppose z*k = k + 20. Solve -2*o + k = -0*o for o.
5
Suppose 0 = 4*i - 21 - 3. Suppose i = 3*y - y. Solve -5 = 2*v + y*v for v.
-1
Let h = 3 - 2. Let g(j) = 21*j**3 - j**2 + 1. Let u be g(h). Let q be 0*(u/(-6) + 3). Solve p - 2 = -q for p.
2
Suppose 0 = -4*p + 2*q + q + 39, 3*p + 5*q = -7. Solve -x + p = 2*x for x.
2
Suppose 5*b - b + 20 = 0. Let z = b - -8. Suppose -3 = 2*c - z*c. Solve 2*s + 13 = c for s.
-5
Suppose 5*p - 31 - 4 = -5*l, -2*p + 14 = -2*l. Let b be 2/p + (-2)/7. Solve b = -3*q + q for q.
0
Let y(t) = -2*t**2 - t + 7. Let q be y(-2). Solve -q - 2 = 3*b for b.
-1
Let a(t) = -49 + 47 + t + 2*t**2 + 0*t. Let d be a(-2). Suppose -5*w = -20, -18 - 6 = -c - 4*w. Solve u + d = c for u.
4
Let u(a) = -2*a + 14. Let l be u(11). Let b = l + 18. Solve h + 4*h + b = 0 for h.
-2
Let i(a) = 2*a**2 + 9*a + 12. Let c be i(-4). Solve -3*n + c = -n for n.
4
Let g = -3 + 0. Let t be (g/(-2))/(3/4). Solve 2*d = t + 8 for d.
5
Let w(v) = -v**2 - 6*v - 3. Let l be w(-5). Solve 0 = -l*d - 0 - 6 for d.
-3
Let g be 0 - 1/(-4)*0. Suppose 35 = 5*m - 5*v, g = -v + 2*v + 5. Solve 3*y + m*y = -20 for y.
-4
Let m = -27 + 33. Solve 0 = 2*b - 0*b - m for b.
3
Suppose 3*t = -5*g + 66, -5*g + 54 = 2*t - 5*t. Suppose -6*f - g = -9*f. Solve f*y = -y + 5 for y.
1
Let n(m) = -m**2 + 7*m + 10. Let p be n(7). Solve 4*f = -f + p for f.
2
Suppose 0 = -w - 5 + 1. Let f be (4/(-3))/(2/(-3)). Let b be (w/(-3))/(f/12). Solve -2*l + b = -6*l for l.
-2
Suppose -8*t = -t - 28. Solve -t = 2*w - 0 for w.
-2
Suppose -4*q = -l + 14, 14 = -3*l - 5*q + 5. Solve -l*h + 7*h = 10 for h.
2
Let f(v) = -v**2. Let b be f(-1). Let j = 3 - b. Solve -12 = -j*q + 4 for q.
4
Suppose 10*y = 15*y. Solve y*z = 4*z for z.
0
Let l(g) = -10*g**3 + g + 1. Let s be l(-1). Suppose 6 = -3*n - 5*p + p, -n - 4 = 2*p. Suppose 0*d = 4*h - n*d - 8, -5*d = -h + 20. Solve h = 3*j - s - 2 for j.
4
Suppose 3 = 2*k - 7. Solve i - k + 2 = 0 for i.
3
Let f(j) = j**2 - 8*j + 7. Let v be f(6). Let s = v - -8. Suppose -2*k + 3*k = 2. Solve -k*c + 5 = s*c for c.
1
Let j be (10/(-4))/((-1)/(-4)). Let y be (1/(-2) - 0)*j. Let u be (-1)/(-2)*2 - -1. Solve n - u*n = y for n.
-5
Let l = 1 + -5. Let x = 14 + l. Solve -2*z + x = -0 for z.
5
Let z(y) = y + 4. Let g be z(-7). Let a be 4 + (g + 6)/1. Let q = 10 - a. Solve q = 2*i - 7 for i.
5
Let o = -3 - -5. Let g be 48/15 + (-1)/5. Let n(s) = s**3 - 3*s**2 + 2*s - 3. Let i be n(g). Solve i*l + o = l for l.
-1
Let j = 74 + -59. Suppose -14 = -2*n - 4*f, -3*n = -3*f - f + 9. Suppose -4*b + j = -n. Solve -b*u - 12 = -u for u.
-4
Let y = 6 - 9. Let s be -1*(y - (-2 + -1)). Solve s = -5*n - 8 - 12 for n.
-4
Let w be (-2)/8 - 78/(-24). Solve 2 = -g - w for g.
-5
Let u be -1 + 0 + (-55)/(-11). Solve 7*b - u = 3*b for b.
1
Let t(r) = -r**3 + 6*r**2 + 3*r - 9. Let c be t(6). Let u be 11 - c - (-1)/1. Solve -3*h = 9 - u for h.
-2
Let j = -1 + 9. Suppose 0*b + 4*b = -j. Let h be (1 + -2)*b + 0. Solve o - h = 1 for o.
3
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
16 = -o. What is the least common multiple of y and 3?
24
Suppose 0 = -17*l + 13*l + 8. Suppose -x + 78 = 4*v + x, -4*x = 2*v - 24. Suppose 0 = -2*m + m + v. Calculate the lowest common multiple of m and l.
22
Let u = 321 + -223. Suppose -5*m - 385 = -3*g, 2*m + 185 = 2*g - 7*g. What is the lowest common multiple of u/16 + 10/m and 10?
30
Let w = 34 + 2. Suppose w = -4*a + a. Calculate the lowest common multiple of 11 and -2*4/16*a.
66
Let m = 5 + 7. Let w = -75 - -83. Suppose 5*b - 98 = g + g, 0 = -2*g - w. Calculate the lowest common multiple of m and b.
36
Let z be ((-2)/((-12)/(-69)))/(1/(-2)). Suppose 0 = 5*y - 4*q - z - 6, 21 = y + 3*q. What is the lowest common multiple of y and 18?
18
Suppose 3*k - 10 = 2*n, 0 = -4*n - k - k + 12. Find the common denominator of ((3/9)/n)/(2/(-258)) and -131/6.
6
Calculate the common denominator of (-16 - -21)*(-2)/28 and -7/66.
462
Let j = -32/29 + -373/319. Let w = 10358/327 + -1/109. Let i = w + -32. Find the common denominator of i and j.
33
Find the common denominator of -169/30 and 1674/405 - (-2)/(-4).
30
Let n be (-1)/(4 - (-196779)/(-49212)). Let c = n + 188170238/263833. Let r = c + 309757/229420. Find the common denominator of r and -109/28.
140
What is the common denominator of -109/20 and 22/(-4)*((-256)/(-60) + -4)?
60
Suppose 269 = 3*c + 239. Calculate the lowest common multiple of 65 and c.
130
Let g(h) = h**2 - 12*h + 9. Let f be g(12). Suppose -b = 3*b - o - f, 2*o = 4*b - 14. Calculate the least common multiple of b and 15.
15
Let a(w) = w**3 + 9*w**2 + 6*w. Let b be a(-8). Let x = 94 - b. What is the lowest common multiple of 3 and 128/13 - (-12)/x?
30
Suppose 0 = -16*g + 27*g - 275. Calculate the lowest common multiple of 70 and g.
350
Let y be ((-2)/8)/(28/1004). Let w = y + 82/7. Calculate the common denominator of w and 85/12.
12
Suppose 16*x + 21 + 11 = 0. Let o(j) = 10*j. Calculate the lowest common multiple of o(1) and 42/2 - (-6 - (-1 + x)).
120
Let g = 1/57 - -433/228. Let n = -2846/129 + 60/43. What is the common denominator of g and n?
12
What is the common denominator of 23/10 and (-27)/8 + -10 + 16 + -9?
40
Calculate the common denominator of (69/18)/((-720)/27) and -33/20.
160
Let v(s) be the first derivative of s**4/4 + 8*s**3/3 + 9*s**2/2 - 7*s + 27. Calculate the lowest common multiple of v(-6) and 24.
264
Let p = 37274885633/46 + -810284722. Let m be 3 + -38883 + (-1 - -4). Let o = p + m. Calculate the common denominator of -65/22 and o.
506
Suppose -p + 3*d + 3807 = -4*p, 2*d + 3804 = -3*p. Let u = p - -10173/8. Find the common denominator of u and 89/38.
152
Let c = 11 - 8. Suppose -11*u + 175 = -4*u. Calculate the least common multiple of u and c.
75
Let b(k) = 3*k**2 + 26*k - 49. Calculate the lowest common multiple of 9 and b(-19).
540
Let k be ((-8)/(-2))/4 + -2. Let x(b) = -13*b - 1. What is the lowest common multiple of x(k) and 6?
12
Let a(c) = -3*c**3 + 18*c**2 - 2*c + 11. Let d be a(12). Let m be 2/(-1) - d/(-36). Let l = m + 505/9. Calculate the common denominator of l and -64/9.
36
Let n(g) = -g**3 + 4*g**2 + 3*g + 2. Let q be n(4). Suppose 4*i - 3*i = -20. Calculate the common denominator of ((-8)/i)/(q/120) and 41/8.
56
Suppose 8 = -f - 4*p, f + 2*p = -4*f + 14. Let m be 495/12 + 9/12. What is the lowest common multiple of f and 2/(-7) + 222/m?
20
Let c = 96/55 + 1517/990. Calculate the common denominator of ((-35)/40 - -4) + -4 and c.
72
Suppose -3*o + 12 - 1 = 5*l, 5*o = -2*l - 7. Suppose 0 = l*n - 0*n - 416. What is the common denominator of (n/(-64))/((-18)/(-40)) and 27/22?
198
Let g(m) = m**2 + 8*m + 13. Let q be g(-7). Let j = q - 2. What is the least common multiple of j and (-2)/(-14) - (-830)/70?
12
Let s be 1*(-2)/6*20235/(-20). Let y = s + -683/2. Calculate the common denominator of y and -49/6.
12
Let v = -8677/6 + 1464. What is the common denominator of (20/(-18) - -1)*(-38 - 29) and v?
18
Let f(o) = 3*o**2 + 4 + 0*o**2 - 2*o**2 + 7*o. What is the common denominator of f(-9) and (-35)/2*-3*6/27?
3
Let o = 549 + -546. What is the least common multiple of o and 82?
246
Let d = 35053/6 - 5865. Find the common denominator of 42/49*(-6)/(-4) and d.
42
What is the common denominator of -57/10 and (-13)/((-78)/(-166))*3/20?
20
Suppose 0*n - 2*n + 3*f = 7, f + 7 = -4*n. Let x(v) = v**3 + 3*v**2 + 2*v + 2. Calculate the lowest common multiple of 12 and x(n).
12
Let p = 7399/10 + -737. Find the common denominator of -9 and p.
10
Let j be -1 + -2 + (-402)/(-6) - -3. Let d = j - 47. What is the least common multiple of 14 and d?
140
Let j = 9/52 + 149/78. What is the common denominator of j and (-10*3/9)/((-8)/13)?
12
Find the common denominator of (8/720)/(((-36)/2055)/(-6)) and 7/18.
36
Let s be ((-111439570)/75)/((-4)/3). Let z = 1115411 - s. Let y = z + -5136/5. Find the common denominator of -28/11 and y.
110
Let b(z) = -z**3 - 3*z - 20. Let t(p) = -p**3 + p**2 + 10. Calculate the smallest common multiple of t(0) and b(-3).
80
Suppose n - 5*n = -92. Suppose n = d - 5*r, -2 = 2*d + 5*r - 3. What is the least common multiple of d and 8?
8
Let a(k) = 93*k**2 + 6*k + 6. What is the smallest common multiple of 7 and a(-1)?
651
Let p be (-4 - 350/(-88))/((-10)/348). Let c = p + 224/55. Calculate the common denominator of c and -113/20.
220
Let n = 9431/66650 + -2/1333. What is the common denominator of -103/30 and n?
150
Suppose 25 = 4*i - 7. Calculate the common denominator of 2/i*(-606)/(-30) and -45/16.
80
Let r = 27497015129/37348542 - -4/1697661. Let p = 739 - r. Calculate the common denominator of p and (-239)/(-12) - (-8)/32.
66
Find the common denominator of 14/9 and 1346/804 + (-291)/194.
603
Suppose 0 = o + 4 - 1. Let z be (-88)/12*-3 + o. Suppose -2*h = 6, h + z = 4*k - 0*h. What is the lowest common multiple of 4 and k?
4
Suppose 0 = 220*k - 204*k - 80. Calculate the smallest common multiple of 32 and k.
160
Let c(h) = 28*h + 30. Calculate the lowest common multiple of 22 and c(11).
3718
Suppose -28*t + 11*t = -306. Calculate the lowest common multiple of t and 33.
198
Let r be (-658)/(-211) - (2 + 3 + -2). Let i = r - 22727/1266. What is the common denominator of i and 107/20 + 1*-1?
60
Let x = 12 + 0. Suppose x = -g + 10. Calculate the common denominator of -44/5 and (-122)/(-4)*g/4.
20
Let x = -55 + 74. Suppose t - x = -10. Calculate the smallest common multiple of t and 3.
9
Calculate the least common multiple of 130 and 693/154*(27 - 1).
1170
Let y be ((-1)/(-10)*4)/((-1)/(-15)). Let b = -461 - -5537/12. What is the common denominator of b and (-139*1/(-12))/(y/(-4))?
36
Let a be (0 + (-7086)/(-580))/(24/10). Let t = -4916 - -3421531/696. Let z = t + a. Find the common denominator of -93/2 and z.
12
Let i = -31996 - -2239823/70. Find the common denominator of i and -25/8.
280
Let j = 2/21823 + 2771497/261876. Let y = 109391/10 - 10950. What is the common denominator of y and j?
60
Let m = 531662/35 - 15192. What is the common denominator of m and -73/42?
210
Let w be (7/2)/((-19)/(-190)). What is the common denominator of -16 and 10/w - 0 - (-60)/(-14)?
1
Let t = -621623/300 + 6218/3. Calculate the common denominator of 35/8 and t.
200
Let h = -3774 - -37723/10. Let r(o) = o**3 - 12*o**2 + 11*o + 7. Let x be r(8). Let i = -1271/8 - x. Find the common denominator of h and i.
40
Find the common denominator of 1078/1155*65/(-12) and 5/138.
414
Suppose 24*a - 42 = 23*a. Calculate the lowest common multiple of 8 and a.
168
Suppose -6 = 4*a - d, a - 4*d + 3*d = 0. Let m = 27 + -38. Let f = a - m. What is the smallest common multiple of 10 and f?
90
Let s = -535/11 + 9347/220. Calculate the common denominator of s and (-30)/216*((-269)/(-10) - -4).
120
Suppose -2*p = 2*p - 768. Let c = p + -137. Suppose 3*a + 27 = 5*v - c, 3*v - 5*a = 62. What is the lowest common multiple of v and 4?
28
Let l = -500 - -635. Calculate the least common multiple of l and 9.
135
Let o(m) be the third derivative of -m**4/24 - 5*m**3/3 + m**2. Suppose 3*j + 5*c = 3*c - 29, 5*j = c - 57. Calculate the lowest common multiple of 4 and o(j).
4
Let a = 5 - 37/2. Find the common denominator of -93/2 and a.
2
Suppose 978*b - 948*b - 180 = 0. Suppose -q = -4*a + 21, 0 = 2*a - 7*a - 5*q + 45. What is the least common multiple of a and b?
6
Suppose 2*q - 7*q = -5*w
|
{
"pile_set_name": "DM Mathematics"
}
|
*n**2 + 53421856*n**2.
-3*n**2
Collect the terms in -13416*z - 13378*z - 13455*z - 13471*z + 53935*z.
215*z
Collect the terms in 924*p**2 - 145 - 137 + 562 - 140 - 730*p**2 - 140.
194*p**2
Collect the terms in -22354*p**3 + 128*p**2 - 67*p**2 - 61*p**2.
-22354*p**3
Collect the terms in 1851*d**3 - 9136*d**3 + 5611*d**3.
-1674*d**3
Collect the terms in -3231*n - 3461*n - 5 + 1 + 4.
-6692*n
Collect the terms in 5*k - 2129322519955*k**2 - 4*k**3 + 2129322519955*k**2.
-4*k**3 + 5*k
Collect the terms in -108*j + 196 + 199 - 799 + 202 + 202.
-108*j
Collect the terms in -64055*h - 856*h**2 + 64055*h - 3187*h**2.
-4043*h**2
Collect the terms in -38*o**3 + 2*o**2 - 70*o**3 - 5646 + 11286 - 5640.
-108*o**3 + 2*o**2
Collect the terms in -43557*r**2 + 0 + 0 + 42507*r**2.
-1050*r**2
Collect the terms in 0 + 14396*h**2 + 2*h**3 + 10 + 11 - 22*h**3.
-20*h**3 + 14396*h**2 + 21
Collect the terms in 23415*f**2 - 9869*f**2 + 37792*f**2 - 1163*f**2 + 14033*f**2.
64208*f**2
Collect the terms in -j + 36892 - 36892 + 14*j.
13*j
Collect the terms in 4784 + 4708 + 3*i**2 + 8*i - 21*i - 9492 + 13*i.
3*i**2
Collect the terms in s + 88352*s**2 - s + 16814*s**2 + 134708*s**2.
239874*s**2
Collect the terms in -1389*p - 62*p**2 + 2759*p - 1369*p - 76*p**2.
-138*p**2 + p
Collect the terms in 1837715*c + 120 - 120.
1837715*c
Collect the terms in 59075 - 9*b**2 + 8269*b - 59075 - 8269*b.
-9*b**2
Collect the terms in -196 + a**3 + 207 + 1969*a - 1969*a.
a**3 + 11
Collect the terms in 35714*i**3 + 176 + 35879*i**3 - 360 + 184 - 71592*i**3.
i**3
Collect the terms in -307*i**2 + 86*i - 4449 + 321*i**2 - 86*i + 4449.
14*i**2
Collect the terms in -481*k + 104*k + 124*k + 127*k + 126*k + 52*k**3.
52*k**3
Collect the terms in 212925*s**3 - 117386*s**3 - 95545*s**3.
-6*s**3
Collect the terms in -7*t**3 - 8764*t**2 - 5*t**3 + 8799*t**2.
-12*t**3 + 35*t**2
Collect the terms in 11*y - 3308 + 4*y + 9933 - 3315 - 3311.
15*y - 1
Collect the terms in 112 + 2*l**3 + 67 + 147 + 87 - 276.
2*l**3 + 137
Collect the terms in -2*s - 19781*s**2 + 2*s + 18577*s**2.
-1204*s**2
Collect the terms in -271 - 1325 + 127 - 26*x**2 - 676 + 24*x**2.
-2*x**2 - 2145
Collect the terms in -282*y**3 + 14*y - 9*y + 155 - 155.
-282*y**3 + 5*y
Collect the terms in 155*z**2 + 349*z**2 + 413*z - 415*z + 1647*z**2 - 375*z**2.
1776*z**2 - 2*z
Collect the terms in 9 + 20*p**2 + 252*p + 6*p**2 - 252*p + 83*p**2.
109*p**2 + 9
Collect the terms in 283882*x + 323735*x + 123027*x - 38784*x - 134575*x.
557285*x
Collect the terms in 49*x**3 + 22*x**3 - 2*x**2 - 119*x**3 + 75*x**3.
27*x**3 - 2*x**2
Collect the terms in 25*y - 51*y + 12*y + 3*y**2 - 7235 + 14*y.
3*y**2 - 7235
Collect the terms in -269 - 555 + 224 - 2*r**2 + 228 - 317 - 246.
-2*r**2 - 935
Collect the terms in 53011*j + 52916*j - 22*j**2 - 105927*j.
-22*j**2
Collect the terms in -4010*l**3 + 2 - 5273389*l**2 + 5273389*l**2.
-4010*l**3 + 2
Collect the terms in 85*o - 13*o**2 - 160*o + 25*o**2 - 5*o**2 + 79*o - o**2.
6*o**2 + 4*o
Collect the terms in 13*h**2 + 0*h**2 + 3*h**2 + 2*h**2 - h**2 - 10*h**2 + 4*h.
7*h**2 + 4*h
Collect the terms in -3095*w + 0 + 2 - 1605*w**2 + 3092*w - 3 - 2.
-1605*w**2 - 3*w - 3
Collect the terms in -4739*n + 31*n**2 + 5057*n - 87*n**2.
-56*n**2 + 318*n
Collect the terms in -895 + 33923*i + 888 - 33923*i - 29*i**3.
-29*i**3 - 7
Collect the terms in -7 + 1 + 184667*t + 622283*t + 6.
806950*t
Collect the terms in -605816*l + 302910*l - 5 + 302909*l - 7 + 12.
3*l
Collect the terms in 1396*y**2 - 4318*y**2 + 1250*y**2 + 1408*y**2.
-264*y**2
Collect the terms in 9*l + 4*l - 8*l - 14*l + 571*l**2 + 9*l.
571*l**2
Collect the terms in -2*h**2 - 2 + 49*h + 7 + 50*h + 37*h.
-2*h**2 + 136*h + 5
Collect the terms in -12584 + 6293 + 6265 + 34*u**2.
34*u**2 - 26
Collect the terms in -1812*i**3 + 1816*i**3 + 489*i**2 - 489*i**2.
4*i**3
Collect the terms in -57 - 909 - 492 + 3*m + 136.
3*m - 1322
Collect the terms in 82 + h - 5 - 811 + 12 + 722.
h
Collect the terms in -151499*z**3 + 302807*z**3 - 151307*z**3.
z**3
Collect the terms in -12216 - 52*u**3 + 6083 + 6135.
-52*u**3 + 2
Collect the terms in 49*o + 21*o - 2 + 16*o + 590*o**2 - 4*o - 587*o**2.
3*o**2 + 82*o - 2
Collect the terms in -951*c + 2151*c - 2089*c - 4939*c - 5115*c.
-10943*c
Collect the terms in -2*x**2 + 84*x - 5412 + 5123 - 9701 - 84*x.
-2*x**2 - 9990
Collect the terms in -10979*c + 2802*c + 2568*c - 7*c**3 + 2805*c - 2*c**3 + 2804*c.
-9*c**3
Collect the terms in 8 + 2783*j + 3 - 16 + 3.
2783*j - 2
Collect the terms in -y - 5*y - 443*y**2 + 6*y + 1367*y**2 - 414*y**2 + 2.
510*y**2 + 2
Collect the terms in -235 + 937 - 229 - 228 - 245 - 4*d.
-4*d
Collect the terms in 4173*l**3 - 4176*l**3 - 892*l**3.
-895*l**3
Collect the terms in -1295*r**3 + 544*r**3 + 6353*r**3.
5602*r**3
Collect the terms in 53015*c - 26517*c + c**2 - 26506*c - 11*c**2.
-10*c**2 - 8*c
Collect the terms in -10 + 7918904*w + 56 - 46 - 7918887*w.
17*w
Collect the terms in 224*n + 182*n + 31*n**3 + 139*n + 3*n**3 - 2.
34*n**3 + 545*n - 2
Collect the terms in 0 + 1 + 0 - 2 + 9 + 541751*o**2 - 541752*o**2.
-o**2 + 8
Collect the terms in 510176*t**2 - 254265*t**2 - 255910*t**2.
t**2
Collect the terms in 110 - 42 + o**2 + o - 4*o**2.
-3*o**2 + o + 68
Collect the terms in -3*m + 3*m - 3*m**2 - 7793*m**3 - 9084*m**3 + 1719*m**3.
-15158*m**3 - 3*m**2
Collect the terms in 13 + 76823*w - 38409*w - 38413*w + 60.
w + 73
Collect the terms in 13476*h + 229 + 226 - 116 - 339.
13476*h
Collect the terms in -2*g**3 + 7*g**3 - g**3 - 684810*g + 684810*g.
4*g**3
Collect the terms in -4*m**3 + 2917181 - 2917181.
-4*m**3
Collect the terms in 890 + 15*k**2 - 16*k**2 + 7402 + 8095.
-k**2 + 16387
Collect the terms in 489*u**3 + 2352*u**3 + 970*u**3 + 1048*u**3 + 6900*u**3.
11759*u**3
Collect the terms in -6923*w**3 + 1975*w**3 + 41*w**3.
-4907*w**3
Collect the terms in -1446*y**3 + 20362574*y**2 - 20362574*y**2.
-1446*y**3
Collect the terms in -w - 6280*w**3 - 306*w**3 - 17839*w**3 + w.
-24425*w**3
Collect the terms in 623 + 2787 - 3410 + 2*u.
2*u
Collect the terms in 64924 + 5023 + 19160 + 202*y.
202*y + 89107
Collect the terms in 2 - 2 + 1016517*b - 2033032*b + 1016510*b.
-5*b
Collect the terms in 5205 - 5*p - 9155 - 9046.
-5*p - 12996
Collect the terms in -470*w**2 + 156*w**2 + 146*w**2 + 23 + 168*w**2 - 23 - 2*w**3.
-2*w**3
Collect the terms in 90*v**2 - 35*v**3 - 46*v**3 - 32*v**3 - 10*v**3 - 92*v**2.
-123*v**3 - 2*v**2
Collect the terms in -11*b**3 + 117*b**3 - 47*b**3 + 162*b**3.
221*b**3
Collect the terms in 162*m - 548*m - 161*m + 75*m.
-472*m
Collect the terms in -547*y**2 - 12 - 84*y - 547*y**2 + 1096*y**2 - 13*y.
2*y**2 - 97*y - 12
Collect the terms in 36276*d - 12549*d - 12199*d - 12141*d.
-613*d
Collect the terms in -1 + 3 - 1325970*n**3 + 1131*n - 1131*n.
-1325970*n**3 + 2
Collect the terms in 7*n**2 + 73*n**3 + 53*n**3 + 2 + 5*n**2 + 67*n**3.
193*n**3 + 12*n**2 + 2
Collect the terms in 23 + 25 + 40 + 137*t - 148 + 38.
137*t - 22
Collect the terms in -4*o - o**2 + o + 117279 + 2*o + 3*o**2.
2*o**2 - o + 117279
Collect the terms in -188*t + 21473*t**3 - 190*t + 376*t + 12892*t**3.
34365*t**3 - 2*t
Collect the terms in 147*c - 105 + 66 + 50.
147*c + 11
Collect the terms in 67*v + 5 - 190*v - 22*v - 418*v.
-563*v + 5
Collect the terms in 294*q + 187369 - 187369.
294*q
Collect the terms in 3852*q + 12443671 - 12443671.
3852*q
Collect the terms in -2728847146 + 413*m**2 + 2728847146 + 766*m**2.
1179*m**2
Collect the terms in -v - 27*v - 19303*v**2 + 20*v + 8*v.
-19303*v**2
Collect the terms in 10*c**3 + 2 - 40*c**3 - 2 + 99*c**3 + 0*c**3 + c - 26*c**3.
43*c**3 + c
Collect the terms in 259 + 1760*y - 545 + 286.
1760*y
Collect the terms in 12*v - 47170267337 + 47170267337 + v.
13*v
Collect the terms in 156*k + 158*k + 150*k - 790*k + 164*k + 14 + 159*k.
-3*k + 14
Collect the terms in 660643946188 - b**3 - 660643946188.
-b**3
Collect the terms in 249*b - 618*b + 371*b.
2*b
Collect the terms in -7489*u + 19573*u - 4605*u - 7482*u - 2 + 2.
-3*u
Collect the terms in 4*s + 17*s + 32*s + 14*s - 65*s.
2*s
Collect the terms in 31165*q**2 - 2749203*q + 2749203*q + 1 - 1.
31165*q**2
Collect the terms in 44 + 2054 + 229*p + 861.
229*p + 2959
Collect the terms in -3094*y**2 + 442*y**2 - 748*y**2 - 2443*y**2 - 1268*y**2 + 1126*y**2.
-5985*y**2
Co
|
{
"pile_set_name": "DM Mathematics"
}
|
46
Calculate the remainder when 15214 is divided by 12.
10
Calculate the remainder when 557 is divided by 26.
11
Calculate the remainder when 106317 is divided by 106.
105
What is the remainder when 858 is divided by 224?
186
What is the remainder when 48 is divided by 8?
0
Calculate the remainder when 222 is divided by 32.
30
What is the remainder when 5739 is divided by 164?
163
Calculate the remainder when 617 is divided by 264.
89
Calculate the remainder when 3767 is divided by 3.
2
Calculate the remainder when 877 is divided by 861.
16
Calculate the remainder when 995 is divided by 484.
27
What is the remainder when 73 is divided by 63?
10
What is the remainder when 1229 is divided by 54?
41
Calculate the remainder when 12222 is divided by 17.
16
What is the remainder when 147 is divided by 11?
4
What is the remainder when 75 is divided by 74?
1
Calculate the remainder when 2648 is divided by 50.
48
Calculate the remainder when 1300 is divided by 8.
4
Calculate the remainder when 79 is divided by 71.
8
What is the remainder when 6141 is divided by 74?
73
Calculate the remainder when 4294 is divided by 12.
10
Calculate the remainder when 215 is divided by 36.
35
What is the remainder when 849 is divided by 143?
134
What is the remainder when 91 is divided by 18?
1
What is the remainder when 479 is divided by 178?
123
Calculate the remainder when 390 is divided by 68.
50
Calculate the remainder when 37 is divided by 11.
4
Calculate the remainder when 967 is divided by 81.
76
What is the remainder when 667 is divided by 220?
7
Calculate the remainder when 354 is divided by 46.
32
What is the remainder when 174 is divided by 51?
21
What is the remainder when 3181 is divided by 153?
121
What is the remainder when 1715 is divided by 6?
5
Calculate the remainder when 592 is divided by 17.
14
What is the remainder when 331 is divided by 166?
165
What is the remainder when 986 is divided by 319?
29
Calculate the remainder when 533 is divided by 67.
64
Calculate the remainder when 263 is divided by 38.
35
What is the remainder when 91 is divided by 34?
23
Calculate the remainder when 77 is divided by 24.
5
What is the remainder when 168 is divided by 31?
13
Calculate the remainder when 4433 is divided by 222.
215
Calculate the remainder when 48 is divided by 11.
4
Calculate the remainder when 165 is divided by 13.
9
What is the remainder when 825 is divided by 92?
89
What is the remainder when 182 is divided by 59?
5
Calculate the remainder when 42920 is divided by 28.
24
What is the remainder when 1247 is divided by 78?
77
What is the remainder when 5464 is divided by 909?
10
Calculate the remainder when 860 is divided by 97.
84
Calculate the remainder when 277 is divided by 5.
2
Calculate the remainder when 1975 is divided by 128.
55
What is the remainder when 466 is divided by 155?
1
What is the remainder when 2163 is divided by 446?
379
What is the remainder when 1590 is divided by 20?
10
What is the remainder when 1172 is divided by 59?
51
Calculate the remainder when 1022 is divided by 147.
140
Calculate the remainder when 1254 is divided by 69.
12
What is the remainder when 4987 is divided by 29?
28
Calculate the remainder when 84 is divided by 13.
6
What is the remainder when 97 is divided by 18?
7
Calculate the remainder when 322 is divided by 139.
44
Calculate the remainder when 4890 is divided by 36.
30
What is the remainder when 301 is divided by 9?
4
What is the remainder when 1314 is divided by 189?
180
What is the remainder when 2373 is divided by 11?
8
Calculate the remainder when 944 is divided by 32.
16
What is the remainder when 1267 is divided by 27?
25
Calculate the remainder when 121 is divided by 31.
28
What is the remainder when 115 is divided by 26?
11
Calculate the remainder when 16434 is divided by 173.
172
Calculate the remainder when 2797 is divided by 56.
53
Calculate the remainder when 2417 is divided by 45.
32
What is the remainder when 2802 is divided by 187?
184
What is the remainder when 25 is divided by 12?
1
Calculate the remainder when 148 is divided by 48.
4
What is the remainder when 141 is divided by 22?
9
Calculate the remainder when 251 is divided by 33.
20
What is the remainder when 32 is divided by 21?
11
What is the remainder when 206 is divided by 66?
8
Calculate the remainder when 190 is divided by 40.
30
Calculate the remainder when 412 is divided by 189.
34
Calculate the remainder when 87 is divided by 46.
41
What is the remainder when 105 is divided by 18?
15
What is the remainder when 1839 is divided by 41?
35
What is the remainder when 1212 is divided by 15?
12
Calculate the remainder when 151 is divided by 31.
27
Calculate the remainder when 1276 is divided by 55.
11
Calculate the remainder when 376 is divided by 66.
46
Calculate the remainder when 2105 is divided by 132.
125
Calculate the remainder when 122 is divided by 78.
44
Calculate the remainder when 1036 is divided by 4.
0
What is the remainder when 3824 is divided by 132?
128
Calculate the remainder when 2113 is divided by 2108.
5
Calculate the remainder when 19456 is divided by 18.
16
Calculate the remainder when 213 is divided by 62.
27
What is the remainder when 62 is divided by 26?
10
What is the remainder when 172 is divided by 59?
54
What is the remainder when 591 is divided by 75?
66
What is the remainder when 242 is divided by 67?
41
What is the remainder when 296 is divided by 23?
20
Calculate the remainder when 775 is divided by 26.
21
Calculate the remainder when 290 is divided by 73.
71
Calculate the remainder when 3150 is divided by 787.
2
What is the remainder when 559 is divided by 121?
75
Calculate the remainder when 94 is divided by 19.
18
Calculate the remainder when 1147 is divided by 28.
27
Calculate the remainder when 1505 is divided by 18.
11
Calculate the remainder when 359 is divided by 60.
59
What is the remainder when 3258 is divided by 149?
129
Calculate the remainder when 7624 is divided by 121.
1
What is the remainder when 17 is divided by 7?
3
Calculate the remainder when 272 is divided by 55.
52
What is the remainder when 506 is divided by 23?
0
What is the remainder when 685 is divided by 18?
1
Calculate the remainder when 2214 is divided by 23.
6
Calculate the remainder when 4688 is divided by 134.
132
What is the remainder when 386 is divided by 63?
8
Calculate the remainder when 56 is divided by 16.
8
What is the remainder when 2483 is divided by 15?
8
What is the remainder when 348 is divided by 90?
78
Calculate the remainder when 212 is divided by 64.
20
What is the remainder when 385 is divided by 187?
11
Calculate the remainder when 18 is divided by 8.
2
Calculate the remainder when 1694 is divided by 113.
112
What is the remainder when 43 is divided by 8?
3
What is the remainder when 195 is divided by 30?
15
What is the remainder when 4156 is divided by 18?
16
What is the remainder when 549 is divided by 69?
66
Calculate the remainder when 827 is divided by 52.
47
Calculate the remainder when 1233 is divided by 59.
53
Calculate the remainder when 100 is divided by 22.
12
Calculate the remainder when 431 is divided by 23.
17
Calculate the remainder when 1973 is divided by 38.
35
What is the remainder when 866 is divided by 29?
25
Calculate the remainder when 451 is divided by 12.
7
Calculate the remainder when 877 is divided by 55.
52
What is the remainder when 4815 is divided by 43?
42
What is the remainder when 1030 is divided by 327?
49
What is the remainder when 1580 is divided by 43?
32
Calculate the remainder when 1814 is divided by 26.
20
What is the remainder when 2526 is divided by 46?
42
Calculate the remainder when 134 is divided by 15.
14
Calculate the remainder when 29 is divided by 2.
1
What is the remainder when 4132 is divided by 37?
25
Calculate the remainder when 300 is divided by 43.
42
Calculate the remainder when 14648 is divided by 10.
8
What is the remainder when 359 is divided by 18?
17
Calculate the remainder when 367 is divided by 2.
1
Calculate the remainder when 5251 is divided by 142.
139
What is the remainder when 674 is divided by 318?
38
Calculate the remainder when 253 is divided by 4.
1
What is the remainder when 475 is divided by 113?
23
What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
prime factors of 150/1 - (-9 + i)?
5, 29
Let p(l) = -2*l - 6. Let u be p(-5). Suppose -3*v + 40 = 17*v. List the prime factors of 10*4/u*v.
2, 5
Let a = -7206 + 10321. List the prime factors of a.
5, 7, 89
Suppose -3 = z - b - 13, 2*b = 4*z - 30. Suppose -4*j - 6*l = -2*l - 20, 3*j = z*l + 7. List the prime factors of 24/(2 - (-3 + j)).
2, 3
Suppose -2 = 5*h + 4*d - 43, 20 = 5*d. Suppose 3*n - h = -2*n, -4*m + 5*n = 5. What are the prime factors of (-30 - m)/(6 + -8)?
3, 5
Suppose -m - 3*u + 286 = 0, -4*u = 3*m - 193 - 680. What are the prime factors of m?
5, 59
Suppose 0*b + 4*b = -x + 115, -3*x + 55 = 2*b. Suppose -13 - b = -k. List the prime factors of k.
2, 3, 7
Suppose -a = -4*b + 2*b - 225, 2*a = -2*b + 450. Suppose 2*z + a = -3*z - 5*l, 168 = -4*z + 2*l. Let s = 72 + z. What are the prime factors of s?
29
List the prime factors of ((-2002)/273)/(4/(-2382)).
11, 397
Let h(c) = 2*c + 10. Let d be h(0). Suppose 2*z = d, -2*n - 3*z = -132 - 325. What are the prime factors of n?
13, 17
Suppose 2*h + 6 = -0*h. Let q be (1 - h) + (-141)/(-3). Let t = -15 + q. List the prime factors of t.
2, 3
Suppose s - 3*o - 575 = 1690, -11297 = -5*s + o. What are the prime factors of s?
3, 251
List the prime factors of (8060/(-16))/(13/(-4) - -3).
5, 13, 31
Let y = -44 + 61. Suppose 0 = 16*i - y*i + 10. List the prime factors of i.
2, 5
Suppose -2*x + l = 123, 5*l - 237 = 4*x - 0*l. Let m = x + 89. List the prime factors of m.
2, 13
Let v(h) = -142*h + 27. What are the prime factors of v(-13)?
1873
Suppose 4*r = 79 + 153. Let y = r + -86. List the prime factors of (-2)/(-8) + (-1141)/y.
41
Let p be ((-6)/(-9))/(1393/(-465) - -3). Suppose 0 = -2*k - 4, 0 = -3*x + 4*k + p + 96. What are the prime factors of x?
3
Suppose -2*d = 4*l - 9998, 7*l - 9*l + 4987 = 5*d. List the prime factors of l.
41, 61
Let c(n) = 2*n**3 - 66*n**2 + 16*n + 53. What are the prime factors of c(33)?
7, 83
Let g be 3*(4 - 575/(-15)). Suppose 3*x - 4*b = 381, -x + 5*b = 2*b - g. List the prime factors of x.
127
Suppose -4*c = -2*m + 72, -4*m - 2*c + 118 = 3*c. Suppose a + 3*w = m, -5*a + 228 = -0*w - 2*w. List the prime factors of a.
2, 11
What are the prime factors of (-1640456)/(-265) + 6/10?
41, 151
Let b(n) = n**2 + 28*n + 1268. What are the prime factors of b(0)?
2, 317
Let f = 2 - -4. Let w(g) = 3*g - f*g**2 - 3 + g**3 - 5*g + 4*g + 13*g**2. What are the prime factors of w(-6)?
3, 7
Suppose -15*c + 12*c = -99. List the prime factors of c.
3, 11
Let q(o) = 7*o**2 + 1. Let l be q(1). Suppose l*g - 41 = 7*g. Let y = 63 - g. What are the prime factors of y?
2, 11
List the prime factors of (4129 - 2)*(67 + -66).
4127
Suppose 0 = -5*h - 3*f + 1624 + 970, -4*h + 2062 = -2*f. List the prime factors of h.
11, 47
Suppose m - 6*m = 90. Let o = -68 + 77. List the prime factors of (-8 - 0)/(o/m).
2
Let t(j) = -7*j - 2. Let l(q) = q. Let z(r) = -6*l(r) - t(r). Let x = 18 - 13. List the prime factors of z(x).
7
Let p = -44 - -32. What are the prime factors of (-194)/(-3) - -2*(-2)/p?
5, 13
Let k(s) be the second derivative of -7*s**3/6 - s**2 + 3*s. Let w be k(-1). Suppose 10*j - w*j - 3*o - 281 = 0, 3*o = 4*j - 226. List the prime factors of j.
5, 11
Suppose 5*n - 2305 = 5*y, n + 3*y - 536 = -59. List the prime factors of n.
3, 5, 31
Let o(n) = 5*n + n**2 + 4 + 0*n**2 + 0*n + 1. Let m be o(-5). Suppose 4*v - 5*l - 120 = 126, 3*v = m*l + 187. What are the prime factors of v?
59
Let u = -251 + 5. List the prime factors of (0 - u)*(-14)/(-28).
3, 41
Suppose 83*g + 44700 = 93*g. List the prime factors of g.
2, 3, 5, 149
Let a(n) = 86*n - 50. What are the prime factors of a(15)?
2, 5, 31
List the prime factors of (-1)/(-15) - 98547/(-45).
2, 3, 5, 73
Let l(u) = -u - 9. Let y be l(7). Let x(t) = t + 48. What are the prime factors of x(y)?
2
Let v be ((-855)/30)/((6/(-4))/(-3)). Let q = v + 109. What are the prime factors of q?
2, 13
Let i(l) = 2*l - 1. Let h be i(3). Let c(k) be the third derivative of k**4/24 + k**3/3 + 2*k**2. What are the prime factors of c(h)?
7
Suppose j - 56 = -j. Let r = j - 18. List the prime factors of (-8)/r*(-79 + 4).
2, 3, 5
List the prime factors of -6 + 3 + 0 + 2629 - -2.
2, 3, 73
Let z(f) = f**2 - 5*f + 10. Let p be z(-9). Suppose 6*d = 10*d - p. List the prime factors of d.
2, 17
What are the prime factors of -3 + (4742/4 - (-17)/34)?
7, 13
Let i(l) be the third derivative of l**5/30 - l**4/24 + l**3/3 - l**2. List the prime factors of i(-4).
2, 19
Suppose 3*v - 15 = -5*w + 17, 5*v + 3*w = 80. Let g = 116 + v. What are the prime factors of g?
3, 5
Let c = 4391 - 1903. List the prime factors of c.
2, 311
Suppose m - 8 = -3*m. Let k(b) = 3*b**m + 0 - 2*b**2 + 41 - b. List the prime factors of k(0).
41
Let t = 8 + 12. Let s be (t/8 - 2)*-4. What are the prime factors of ((-36)/(-10))/(s/(-20))?
2, 3
Suppose 2*p - 5*u + 71 = 0, -p - 4*p - 245 = u. Let f = 105 + p. What are the prime factors of f?
3, 19
Let t = 3 - 1. Let z be (10/25)/(t/370). Suppose 0 = -4*d + 2*m + 34, -4*m + z = 5*d - 1. List the prime factors of d.
11
Let w(y) = 3*y - 1 + 24 + 0*y - 9*y. List the prime factors of w(-7).
5, 13
Let n = 8 - 2. Suppose 2*r = -4*u + 148, -5*u + r = n*r - 185. Suppose -5 + u = k. What are the prime factors of k?
2
Let h = -32 + 62. List the prime factors of (-10)/h - (-74)/6.
2, 3
Suppose z - 43 = j, 71 + 15 = 2*z - 4*j. Let y(g) = g. Let a be y(3). Suppose 5*n - 114 = -4*x, -n + a*n = x + z. List the prime factors of n.
2, 11
Suppose -4*u + 397 = g, -4*g + 5*g = 5*u - 485. Suppose -2*z + 98 = 2*v, -2*v = -0*z - 2*z + u. List the prime factors of z.
7
Let l(w) = 37*w**2 - 4*w - 5. Let c(j) = 37*j**2 - 5*j - 6. Let y(a) = -6*c(a) + 7*l(a). What are the prime factors of y(-1)?
2, 3
Let w be -3*((-11)/4 + (-2)/8). Suppose -w*p - 227 = -1505. List the prime factors of p.
2, 71
Let t = -1039 - -1828. What are the prime factors of t?
3, 263
Suppose -32*t + 29*t = -1590. What are the prime factors of t?
2, 5, 53
Let h be ((-6)/5)/((-6)/20). Suppose -3*u + 396 = -3*n, -130 - 398 = -h*u + 2*n. List the prime factors of u.
2, 3, 11
What are the prime factors of (3/3)/(2958/(-1480) + 2)?
2, 5, 37
Suppose -5*c + 483 = 4*h, 282 = 3*c - 6*h + 11*h. Let q = c - 51. List the prime factors of q.
2, 3
Suppose -5*o - 8*h = -9*h - 14458, 0 = -5*o + 4*h + 14467. List the prime factors of o.
7, 59
Let c be 3/(-9)*(0 + 0). Let t(i) = i + 116. What are the prime factors of t(c)?
2, 29
Let b = -19 + 24. What are the prime factors of 0/(-2) + 290/b?
2, 29
Let f = 40 + 60. Let a = f + -65. What are the prime factors of a?
5, 7
Let z be 4/(-22) + (-2)/(-11). Let f(x) = -2*x + 42. What are the prime factors of f(z)?
2, 3, 7
Suppose 253*u = 260*u - 5705. What are the prime factors of u?
5, 163
Let x be (1 - -64)*72/45. Suppose -5*t - w + 40 = -90, 4*t - x = w. Suppose 4*n - t = 34. What are the prime factors of n?
3, 5
Let f(m) = m**3 - 2*m**2 + 4*m - 2. Let l be f(3). Let j = l - 4. List the prime factors of j.
3, 5
Suppose 0 = 4*w - 5*l - 5, -2*w = -w - 3*l + 4. Suppose -11 = -2*p + w*a, -5*p - 4*a = -0*p - 44. List the prime factors of p.
2
Let n = 793 - 135. List the prime factors of n.
2, 7, 47
What are the prime factors of (-36)/27 - (17752/(-6))/2?
2, 739
Let l be 274 - 7/((-14)/4). Let d = l + -160. What are the prime factors of d?
2, 29
Let k = -48 - -178. List the prime factors of k.
2, 5, 13
Let q = 3258 + -2821. List the prime factors of q.
19, 23
Let l = 214 + -315. Let q = l - -124. What are the prime factors of q?
23
Let m(c) = -c**2 + 21*c - 87. Let u be m(15). Let l = 21 + -6. Suppose l = -u*g + 159. List the prime factors of g.
2, 3
Let o = -32 + 54. Suppose 4*i - o = 30. List the prime factors of i.
13
Suppose 180 = 2*v - 2*c, -2*v + 480 = 3*v + 5*c. List the prime factors of v.
3, 31
Let x = -8 + 8. Suppose x = -0*s + s - 246. What are the prime factors of s?
2, 3, 41
Let f(w) = w**3 + 12*w**2 + 9*w - 4. Let a be f(-8). Suppose 6*s + a = 3*s. Let g = s + 96. What are the prime factors of g?
2, 3
Let b(u) = 1. Let h(y) = y**2 - 10*y - 13. Let s(d) = -6*b(d) - h(d). Let v be s(7). List the prime factors of (v/(-10))/((-4)/20).
2, 7
Let h(l) be the second derivative of 13*l**4/12 - l**3/2 + l**2 - 3*l. What are the prime factors of h(1)?
2, 3
Suppose -12256 = -6*q - 1960. What are
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Expand (-3*s**4 + 0*s**4 + s**4)*(-2 + 3 + 0) + 2 - s**4 - 2 - 1390*s**4 - 43580*s + 43580*s - 1 + 1 + 2*s**4.
-1391*s**4
Expand (0 + 3 + 2)*(-8471264 - 4432*d + 8471264).
-22160*d
Expand (-608106 + 608106 - 1832*p)*(3 - 3 + 2*p).
-3664*p**2
Expand (2 + 0*m + 2*m + 8)*(2 - 4 + 0) - m + 0*m + 4*m + (m - m - 2*m)*(1 + 0 + 2).
-7*m - 20
Expand (-22479 - 121*z**4 - 22484 + 44960 + 9*z)*(3*z + 3*z - 2*z).
-484*z**5 + 36*z**2 - 12*z
Expand (29*b + 42 + 45 - 69)*(-1 + 2 - 4).
-87*b - 54
Expand (4 - 1 - 2)*(30 - 30 - 51*a) + (-2 - 4 + 5)*(4 - 4 + 5*a) + (-1 + 2 - 2)*(0 + 0 - 2*a) + 0 + 2*a + 0 - 2*a + 2*a - a.
-53*a
Expand -5 - 2*q + 5 + 9*q**3 + (q**2 + q**2 + q**2)*(4*q + q - q).
21*q**3 - 2*q
Expand 4 - 8*y**2 - 4 + 2*y**2 - y**2 + y**2 + (2 - 2 - 2*y)*(-3*y + 4*y + y) + ((-2*y + 2*y - 4*y)*(-174*y + 181*y - 144*y) - 4*y - 2*y**2 + 4*y)*(3 + 2 - 4).
536*y**2
Expand (12 - 1 + 1)*(-1353*p - 782*p - 122*p).
-27084*p
Expand (62 - 439 - 94)*(-10*p + 4 - 3 + 0).
4710*p - 471
Expand (6936 - 33*f - 3468 - 3482)*(-f**3 - 3*f**3 + 3*f**3).
33*f**4 + 14*f**3
Expand (-2 + r**2 + 2)*(-3*r**2 + 4*r**2 + r**2) + (3*r**4 + 3*r**4 - 4*r**4)*(0 - 1 - 1) + (r**4 + 0 + 0)*(-87 + 80 - 726).
-735*r**4
Expand 3*t + t**2 - 3*t + 0*t**2 + t**2 + t**2 + (5*t - 2*t - t)*(-2*t - 2*t + 2*t) - 145 + 25*t**2 + 295 + 43*t**2 - 147.
67*t**2 + 3
Expand (1 - 1 - 2*r)*(-2*r**2 + 2*r**2 + 2*r**3 - r**3 + 2*r**3 + 0*r**3 + (0 + r**2 + 0)*(-47*r - 446 + 446)) + 51*r**2 - 10*r**4 - 51*r**2.
78*r**4
Expand (191 - 374 + 184 + 3*t)*(-2*t**2 - 8*t**3 + 7*t**3 - t**2).
-3*t**4 - 10*t**3 - 3*t**2
Expand (4*b + 7 - 7)*(4 + 1 + 7)*(12*b + 5*b**3 - 12*b).
240*b**4
Expand (0*w - 4*w + 2*w)*(-2 + 0 + 4) + (0 - 1 + 2)*(w - 6*w + 2*w) + (-2*w + 3*w + w)*(-6 + 3 + 4) + (-7 + 1 + 2)*(17753 - 17753 + 241*w).
-969*w
Expand (88*l + 3 + 378*l - 143*l)*(-2*l + 4*l + 2*l).
1292*l**2 + 12*l
Expand (71*d + 15 - 56*d - 12)*(-6 + 7*d + 6).
105*d**2 + 21*d
Expand -6*d**4 + 2*d**4 + 3*d**4 - 12*d**3 + 12*d**3 - 17*d**4 + (2 + 0 - 1)*(-d**4 + 4*d**4 - 2*d**4) + (3 + 2*d - 3)*(-2*d - 4*d**3 + 2*d).
-25*d**4
Expand (q - q + q)*(2874*q - 3658*q - 4330*q).
-5114*q**2
Expand b**5 + 0*b**5 + 0*b**5 + (2*b**5 - 4*b**4 + 4*b**4)*(-2 - 4 + 2) - 1 + 18*b - 38*b**5 - 18*b.
-45*b**5 - 1
Expand (-270 - 6*p**5 + 270)*(4 + 23 + 15 + 0).
-252*p**5
Expand (-2 + 1 + 0)*(-4*a + a + 4*a)*(23 + 20 - 34)*(-12122 - 168*a + 12122).
1512*a**2
Expand 296*u**2 + 727*u**2 - 576*u**2 - 3*u**2 + u**2 + 4*u**2 + 3*u**2 + u**2 - 2*u**2 + (0*u + 3*u - u)*(0 + 0 + 2*u) + 0 - u**2 + 0 + 2*u**2 + 0 + 0.
456*u**2
Expand -1 + 3*l + 1 + (0 + 3 - 4 + (3 - 1 - 4)*(0 + 0 + 2))*(0 - 7*l + 0)*(1 - 4 - 30).
-1152*l
Expand (38 - 28 + 122*b - 124*b)*(-3 + 0*b**2 - b**2 + 8) + 2*b**3 - 5*b**3 - 2*b**3.
-3*b**3 - 10*b**2 - 10*b + 50
Expand (12*t + 3 - 2*t - 34*t)*(t**2 + 2*t - 2*t)*(7*t + 0*t - 5*t).
-48*t**4 + 6*t**3
Expand 0 + 0 + 8*o**4 + (6 - 6 - 2*o**2)*(-2*o + 2*o - o**2) + 3*o**4 + 3*o**4 + 2*o**4.
18*o**4
Expand (1 - h - 1)*(-h - h + 0*h) + 0*h**2 + 4*h**2 - 5*h**2 + (39 - 52 - 224)*(4*h**2 - 4*h**2 - 2*h**2).
475*h**2
Expand (p - 3*p + 5*p)*(-2*p**2 + 2*p**2 - 5*p**2) + (-3 - 5 + 3)*(-p**3 + 0 + 0) + 0*p**3 + 3*p**3 - 4*p**3.
-11*p**3
Expand 51*h**2 - 347*h - 60*h**2 + 411*h + (-7*h + 3*h + 2*h)*(-2*h - 1 + 1).
-5*h**2 + 64*h
Expand 2*a**3 - a**3 + a**3 + (55*a - 91 + 91)*(a - a - a**2).
-53*a**3
Expand (6050*j - 6022*j + 8*j**2 - j**2)*(-5*j + 2*j + 2*j).
-7*j**3 - 28*j**2
Expand -23 - 18*z**4 + 21 - 5*z**4 + (3 - 9 - 6)*(4*z**4 - 3*z**4 + 6*z**4).
-107*z**4 - 2
Expand (-3 + 3 - 2*b**2)*(-41004*b - 20184*b + 15978*b + 6 - 6 - 8102*b).
106624*b**3
Expand (-1 - 9*q + 5*q + 8*q)*(26*q**2 + 9*q**2 + 16*q**2).
204*q**3 - 51*q**2
Expand 0*o + o**2 + 0*o + (0*o - o + 0*o)*(2*o - 2*o + 2*o) - 2*o**2 + 30*o - 30*o + (-6 + 6 - 4*o**2)*(4 - 2 - 1).
-7*o**2
Expand (-749 + 749 - 42*a + 2 - 2*a - 2 + (3 + 2*a - 3)*(0 + 1 + 1))*(14 - 2 - 2)*(-2 + 3 + 1)*(0 + a + 0).
-800*a**2
Expand -3*s**2 + 278281*s**3 - 88 - 38 + 3*s - 278282*s**3 + (2*s + 0*s - 3*s)*(0*s**2 - s**2 - s**2).
s**3 - 3*s**2 + 3*s - 126
Expand (57*x**4 - 41*x**4 - 36*x**4)*(-2*x + 0*x + 0*x)*(-16 - 22 + 21) - 5*x**5 + 4*x**5 + 5*x**5.
-676*x**5
Expand (-1247*m**4 + 191*m - 409*m + 217*m)*(2*m + 1 - 1).
-2494*m**5 - 2*m**2
Expand (2 + 1 - 2 - 3 - 6 + 6 + (-2 - 4 + 2)*(-3 + 1 - 3))*(4*c**3 - 13*c**3 + 10*c**3).
18*c**3
Expand (-2*r**2 - 2*r**2 + r**2)*(0*r - 3*r + r) + 3*r**3 - 3*r**3 - r**3 + (2 - 2 + r**3)*(-2 + 5 - 1) - 3*r**2 + 0*r**3 + r**3 + 0*r**3.
8*r**3 - 3*r**2
Expand (-518 - 74 - 315 + 95)*(-p**3 - 2*p**3 + 5*p**3).
-1624*p**3
Expand -16*r - 14*r**3 + 25*r**3 - 13*r**3 + (0*r - r + 6*r)*(0*r**2 - 6*r**2 + 4*r**2).
-12*r**3 - 16*r
Expand (-x - 4*x + 3*x)*(-8 + 8 + 8*x) + 36519*x - 36519*x + 220*x**2.
204*x**2
Expand (0 + 3 - 19)*(0*g**3 - g**3 - 2*g**3) + (1 + 3 - 5)*(17*g**3 - 20*g**3 + 30*g**3).
21*g**3
Expand (-1010 + 1714 + 2685)*(-2 - 3 + 3)*(-3*j**3 - 2*j**3 + 2*j**3).
20334*j**3
Expand (-89 + 179 + 3*s**2 - 86)*(-4*s**2 + 4*s**2 - 3*s**2 + (0*s - 3*s + 5*s)*(0*s + 0*s - 2*s)).
-21*s**4 - 28*s**2
Expand (-2 + 1 + 3)*(-3 + 4 + 3)*(-r + 0*r + 0*r)*(-250*r - 297*r + 157*r).
3120*r**2
Expand -2*f**2 - 2*f**2 - 8*f**2 + (2*f - 6*f + 3*f)*(-4*f + 6*f + f) - f**2 - 9*f + 9*f.
-16*f**2
Expand (0 + l + 0)*(87*l**4 + 82729722 - 82729722 + 15*l**3 + 3*l).
87*l**5 + 15*l**4 + 3*l**2
Expand -2159 + 138*o**4 + 2159 + (3*o**2 + 4*o - 4*o)*(-o**2 - 2*o**2 + 6*o**2).
147*o**4
Expand (8386*k + 19*k**3 - k**3 - 8254*k)*(5*k**2 - 4*k**2 + k**2).
36*k**5 + 264*k**3
Expand (3*y**3 - 5*y**3 - 6*y**3 + (0*y**2 + y**2 + y**2)*(-3 + 3 - 2*y))*(y + 3*y - 2*y).
-24*y**4
Expand (9 - 6 - 6)*(-5222 - 14*i + 10424 - 5220).
42*i + 54
Expand -106*y**3 - 8*y**3 - 5*y**3 + (y**2 + 0 + 0)*(3*y - y - 4*y) + (2 + y - 2)*(-3 + 2*y**2 + 3) + 4*y**3 + y**3 - 2*y**3.
-116*y**3
Expand (-m + 0*m + 3*m)*(-1 - 1 + 0)*(-16352 + 32697 - 20351).
16024*m
Expand (2 + 0 - 4)*(-5 - 15167*p + 15167*p - 200*p**3).
400*p**3 + 10
Expand (2323 - 3763*g - 2323 - g**2)*(4*g - 3*g - 2*g).
g**3 + 3763*g**2
Expand b**5 + 3*b**5 + 4*b**5 + (2*b**3 - 7*b**3 + 4*b**3)*(-1 + b**2 + 1) + 38*b**5 - 118*b**5 - 102*b**5.
-175*b**5
Expand (2*x - 3*x + 3*x + (-2*x + 0*x + 0*x)*(2 - 4 + 0) + (-9 + 11 + 8)*(-10 + 11*x + 10) + 0*x - x - 2*x)*(-3*x + x + 4*x).
226*x**2
Expand (-3100 + 17077 - 4265 - 3631 - 4153)*(4*b - 2*b - 4*b).
-3856*b
Expand (-2*r**2 - 5*r**2 + 5*r**2)*(-3 + 2 + 3) - 457 - 461 + 903*r**2 + 1925*r**2 + 918.
2824*r**2
Expand (1 + 3 + 5 - s)*(3 + 4*s - 3) + (s + 0*s + 2*s)*(0*s + 2*s - 8*s).
-22*s**2 + 36*s
Expand (3 - 17 + 0)*(4*g**4 - 6*g**4 + 4*g**4) + 68*g**4 + 14 + 5 - 70*g**4.
-30*g**4 + 19
Expand (-5 - 1 - 1)*(0*s + s - 2*s)*(7 + 0 - 4)*(2*s - 4*s - s)*(-2 - 84 + 5).
5103*s**2
Expand (-6*z - 3722 + 2219 + 1981)*(-3*z + 3*z + z).
-6*z**2 + 478*z
Expand 133597 - 133598 + d**2 + 5*d**3 + d - 3*d**2 + (-2*d + 2 - 2)*(2*d - 2*d - 2*d**2) + 2*d - 2*d + 2*d**3.
11*d**3 - 2*d**2 + d - 1
Expand 0*s**2 - 2*s**2 + 3*s**2 + (3 - 3 + s)*(-4*s + 0*s + 3*s) - 4*s + 2*s**2 + 4*s + 3*s + 2484*s**2 - 1243*s**2 - 1244*s**2 + 1 - 3*s**2 + 5*s**2 + 0*s**2.
s**2 + 3*s + 1
Expand (-12 + 12 + 6*k**3)*(0 - 4 + 1)*(-3 - 1 + 3)*(0 + 0 + k) + (k + 4*k - 2*k)*(394*k - 394*k - 7*k**3).
-3*k**4
Expand (4*y - 2*y**4 - 4*y)*(y - 10375 + 5419 + 5309).
-2*y**5 - 706*y**4
Expand (-450*k**2 + 325*k - 654*k + 329*k - 497*k**2)*(-4*k**2 - 3*k**3 + 4*k**2).
2841*k**5
Expand (-61 - 59 + 1)*(-4 - 2 + 4)*(0 - 1 + 3)*((a + 0*a - 3*a)*(-2 + 0 + 1) - 2*a + 0*a + a + (-a + 2 - 2)*(-3 - 3 + 4)).
1428*a
Expand -r**4 - 61 + 140*r**3 - 137*r**3 + 63 + 75*r**4 + 2*r**4 - 43*r**4 + (2*r + 1 - 1)*(4*r**3 + r**3 - 3*r**3).
37*r**4 + 3*r**3 + 2
Expand (-25 + 25 + 9*h**4)*(-30 + 57 + 132).
1431*h**4
Expand (2 - 2 - q)*(2 - 22340*q + 22340*q - 198*q**2) - 8*q - 3*q**2 + 1 + 3*q**3 + 8*q.
201*q**3 - 3*q**2 - 2*q + 1
Expand (-4*f + 4*f + 3*f)*(574 + 249 - 1926 - 1546 - 1268).
-11751*f
Expand (14*c**2 - 9*c + 9*c)*(55*c**3 + 18*c**3 + 53*c**3) + 0*c**5 - c**5 - c**5.
1762*c**5
Expand (-191 + 97 + 1759*h**2 - 7624*h**2 + 96)*(2 - 3 - 1).
11730*h**2 - 4
Expand 3*x**2 - 3*x**2 + 3*x**4 + 135*x - 135*x - 396*x**4 + (0*x - x**4 + 0*x)*(0 + 1 + 2).
-396*x**4
Expand (0*f + f + 9565 - 9539)*(-22 + 22
|
{
"pile_set_name": "DM Mathematics"
}
|
9 divide 3*(-3 - f/9)?
True
Suppose 0 = -418*c + 433*c - 8250. Is c a multiple of 10?
True
Is ((-5320)/49)/(6/(-21)) a multiple of 38?
True
Let s(w) be the third derivative of -w**4/4 + w**3 - 5*w**2. Does 10 divide s(-6)?
False
Is 15/45 - (-879)/9 a multiple of 13?
False
Let n(v) = v + 3. Let s be n(-5). Let i = s + 6. Is 28/12*(i + -1) a multiple of 7?
True
Let p be (213759/(-49))/(-9) + 4/14. Let s = p - 219. Is s a multiple of 38?
True
Let m = 473 + -22. Is 41 a factor of m?
True
Let h be (-634)/(-14) + 3 + (-207)/63. Let f = h - -65. Is f a multiple of 55?
True
Is (-11462)/(-12) - 5/210*7 a multiple of 67?
False
Let q(r) = -2*r**2 + 84*r - 4. Does 30 divide q(14)?
True
Let w(z) = 22*z**2 - 44*z + 88. Is w(2) a multiple of 22?
True
Let z = -7 + 7. Suppose z = -q + 4*q - 96. Is 10 a factor of q?
False
Let r be (-2)/((14/8)/(-7)). Let m be (57/2)/(4/r). Let f = m - 32. Is 8 a factor of f?
False
Let l(r) = -21*r - 29*r - 49*r - 58*r + 7. Is 32 a factor of l(-1)?
False
Suppose -4*g + 31 - 11 = 0. Suppose 3*a - 3 = -0*a + 3*r, 0 = -2*a - 3*r + 7. Suppose 3*u + 2*u + p = 61, a*p - 57 = -g*u. Is 12 a factor of u?
False
Let c(f) be the second derivative of f**4/6 - 3*f**3/2 - 4*f**2 - 6*f. Is 12 a factor of c(8)?
True
Suppose -4*n + 8*n = 0. Suppose 3*f = -2*q + 233, -q + n*f + 149 = -5*f. Suppose 2*l + 2*l = q. Does 11 divide l?
False
Let t = 5 - 3. Let y be 5 + 1/(-1) - t. Suppose 0*a - y*a = -102. Is 17 a factor of a?
True
Let l(v) = v + 2. Let h be l(7). Let u(r) = 2*r - 5. Let d be u(h). Suppose -3*j = -17 - d. Is j a multiple of 10?
True
Suppose x - 4 = -x - 5*g, -3*x - 11 = -g. Let s be x + 1 + (15 - -3). Suppose 2*v - 18 = 2*t + 86, -s = 4*t. Is 24 a factor of v?
True
Suppose 10*u = 3*u. Suppose 2*t - 2*r - 192 = u, -5*t = -r - 83 - 417. Is 11 a factor of t?
False
Let m be -11*5 - (6 - 4). Let g be m/6 - 1/(-2). Let a(h) = -h**2 - 10*h. Is a(g) a multiple of 3?
True
Suppose 4*y = 4*z - 2256, -3*z - 314 = -4*y - 2009. Is 42 a factor of z?
False
Let w(b) = 174*b**2 - 72*b + 214. Is 34 a factor of w(3)?
True
Let i be ((-1)/2)/((-19)/(-494)). Is 34 a factor of i/((-78)/340)*3?
True
Let j be (-1 - (-2)/(-3))*(6 + 18). Is (-4)/(-10) + (-2584)/j a multiple of 13?
True
Let i = 1 - 5. Let s be (2/i)/1*-44. Let x = s - 14. Does 2 divide x?
True
Suppose 2*q = 0, 0 = -4*w + 2*q - 5*q + 32. Is 7 - (w - 1 - 3) even?
False
Does 79 divide (470*(-5)/10 - 2)*-1?
True
Suppose -13860 = 31*f - 43*f. Does 35 divide f?
True
Is 5*(-25)/5*-97 a multiple of 66?
False
Suppose -a = -5*d - 88 - 6, -558 = -5*a + 3*d. Let u = -62 + a. Does 47 divide u?
False
Let p be 3/(-6)*(8 + -6). Let o(r) = 12*r + 1. Let n be o(p). Let g(t) = -t**2 - 11*t + 15. Is 3 a factor of g(n)?
True
Let l(s) be the first derivative of -9*s**2/2 - 3*s + 2. Let c(h) = 3*h. Let r be c(-1). Is l(r) a multiple of 24?
True
Does 3 divide (360/(-7))/(-9)*21?
True
Let b = 13 + -11. Let w(c) = 2*c - 1. Let i be w(b). Suppose -5*v + i*v + 44 = 0. Does 11 divide v?
True
Let y(k) be the first derivative of -k**3/3 + 15*k**2/2 + 26*k - 15. Is y(13) a multiple of 13?
True
Is 5 a factor of 16/6*1287/78?
False
Suppose -4*v + 1055 = -y, 259 = 3*v - 2*v - 5*y. Suppose v - 54 = 5*i. Does 14 divide i?
True
Let c be (-132)/(-60) + 2/(-10). Suppose -c*s - 151 = -f + s, -2*f + 2*s + 302 = 0. Is 24 a factor of f?
False
Let v = 166 + 581. Is 3 a factor of v?
True
Suppose -2*g + 30 = -20. Suppose -2*u - 27 = -3*o + 26, 5*u - g = -3*o. Is 2 a factor of o?
False
Let n(b) = b**3 - 13*b**2 + 12*b. Let s be n(12). Suppose s = -2*p + p + 26. Let j = p + 18. Is j a multiple of 11?
True
Let v = -4 - -7. Suppose h + 5*x - 4 = -1, 5*h = -v*x + 15. Suppose 2*c - 74 = -a + 5*a, 3*c - 96 = h*a. Is 9 a factor of c?
True
Let z be (-18)/27*(-177)/2. Let l = z + -35. Is l a multiple of 14?
False
Let w(l) = -4*l - 26. Suppose 15 = 16*r - 17*r. Is 22 a factor of w(r)?
False
Let h = -82 - -84. Suppose -5*x = -10*x + 155. Suppose x = n - h. Is 15 a factor of n?
False
Does 4 divide (88 - 55)*(12 - -1)*1?
False
Let l = -675 - -1067. Does 7 divide l?
True
Let u be (-46)/(-10) + 24/(-40). Suppose u*j + t + 2*t = 212, -2*t + 216 = 4*j. Is j a multiple of 8?
True
Let b be (1/2)/((-1)/8). Let a be b/10 + 4/10. Suppose a*n = -n + 16. Does 8 divide n?
True
Let h(t) = -7*t**2 + 7*t + 5*t**2 + 2*t**2 + t**2 + 12. Does 15 divide h(-9)?
True
Let h = 1536 - 111. Is h a multiple of 11?
False
Let f be ((-8)/(-10))/(8/20). Let s(c) = 1 + 1 + 2*c**2 - c**f - 2*c. Does 3 divide s(3)?
False
Let n = 3700 + -1687. Does 69 divide n?
False
Let v be 13 - 1 - (0 + 2). Let z(j) = -j**3 - j**2 + j - 1. Let r(i) = -2*i**3 - 12*i**2 - 8*i - 8. Let n(x) = -r(x) + 3*z(x). Is n(v) a multiple of 3?
True
Let d = -2 - -6. Suppose -d*u + 15 = -s, 3*u + 8 = 5*s - 2. Suppose -2*l = -o - 3 - 11, 5*o = -s*l + 50. Does 2 divide l?
True
Suppose 0 = -0*k - 2*k + 6. Suppose 0 = -4*n + k*n + 132. Suppose -186 = -4*a + 2*w, -w + n = 4*a - a. Does 22 divide a?
False
Suppose 4*d - c - 2*c + 93 = 0, -2*c = 2*d + 64. Let r = 2 - d. Does 11 divide r?
False
Let m(a) = -6*a + 2. Let o be m(-3). Suppose 4*w + 3*t = -2*t + 165, -w + 3*t = -o. Suppose 0 = 5*q + 10 - w. Does 2 divide q?
False
Suppose 4*f - 36 = 5*f. Is 11 a factor of ((-16)/(-3))/((-4)/f)?
False
Is 20 a factor of ((-80)/(-6))/((-4)/(-618))?
True
Suppose -t = -1 - 2. Suppose -68 = -4*s - 4*v, -4*s = -t*v + 4*v - 83. Is 6 a factor of s?
False
Suppose 0*p = -9*p + 504. Is 22 a factor of p?
False
Suppose 4 = -0*t + t. Suppose 2*w - s = -3, w = 5*w - t*s + 8. Is ((-6)/10)/(w/15) a multiple of 9?
True
Does 3 divide (-10716)/(-54) - 8/18?
True
Let n be (-4)/(-2 - 2) - 1. Is ((-6)/24 - n)*-60 even?
False
Let s(z) be the third derivative of -z**5/60 + z**4/2 + 2*z**3/3 + z**2. Is s(7) a multiple of 3?
True
Let u(s) = 11*s**2 + 2*s - 3. Let w(c) = -c**2 - c - 1. Let l be w(-2). Let h be u(l). Suppose h = 4*n + 26. Is 8 a factor of n?
True
Suppose 13 = 4*u - v, -3*v - 15 = -u - 3*u. Suppose -2*z = -5*l + 11, 3*l - u = 3*z - 0. Does 2 divide l?
False
Suppose -4*r = -32 + 12. Let n(d) = 6*d**2 + 2*d - d**3 + 3*d**3 + 18 - 3*d**3 - 21. Does 16 divide n(r)?
True
Let o = 361 - 167. Is 42 a factor of o?
False
Suppose 5*k - 3*d - 50 = -d, -5*k + d + 50 = 0. Suppose 4*i - 2*a + k = 0, 20 = -2*a + 6*a. Let o(h) = -2*h + 15. Is 4 a factor of o(i)?
False
Let p(y) = 2*y**2 + 17*y + 3. Let l be 4 + -16 + 3/(-3). Is 12 a factor of p(l)?
True
Let d(f) = 31*f**2 - 3*f + 4. Let w(u) = -7*u - 31. Let h be w(-4). Is d(h) a multiple of 12?
False
Is 33 a factor of 1*(-730)/(-4)*8/4?
False
Let c be (-30)/25*20/(-6). Suppose t - 50 = c*x - 8, 3*t + 4*x = 158. Does 15 divide t?
False
Let y = 52 - 40. Does 7 divide 8/(-12) + 836/y?
False
Suppose -463 = -5*q - 4*n + 397, 688 = 4*q + n. Does 3 divide q?
False
Let p(u) = u**2 - 13*u + 17. Let s be p(12). Suppose 4*h = b + 3*b - 116, s*b + 5*h = 165. Is b even?
False
Let k be -3*10/18*-3. Suppose 2*s + 73 = -d, k*d + 15 = -0*d. Let o = -21 - s. Is 7 a factor of o?
True
Suppose 0 = -19*t + 1665 + 8842. Does 7 divide t?
True
Suppose 2*x = -2*l - 10, -2*x = -l + 6*l + 25. Suppose s - 49 + 9 = x. Let z = -10 + s. Is z a multiple of 10?
True
Let m be (-5)/(-10) - (-6)/4. Let l be 42/12 - m/4. Suppose 5*r - 59 = -3*s + 67, l*s = -2*r + 54. Does 12 divide r?
True
Let m(v) = 8*v**2 - 3*v + 2. Let b(c) = 31*c**2 - 13*c + 8. Let a(u) = -2*b(u) + 9*m(u). Is a(-2) a multiple of 22?
True
Let w(h) = 608*h**2 - 13*h + 5. Is 100 a factor of w(1)?
True
Suppose -3286 = -24*b - 598. Is 11 a factor of b?
False
Let u be (-36)/24*(0 + -2). Is 2/u*-1*(10 - 46) a multiple of 3?
True
Suppose 3*v = -1 - 35. Is 15 a factor of v/(-48) + (-467)/(-4)?
False
Let i be 32/(-24) - 10/(-3). Suppose 0 = i*r - 43 + 31. Is r a multiple of 2?
True
Let w = -8 + 8. Suppose w = -5*o - 3*k + 214, -4*o - 2*k + 152 = -20. Is 22 a factor of o?
True
Suppose -2835 = -38*h + 33*h. Does 63 divide h?
True
Suppose 0 = 9*s + 8*s - 5780. Does 17 divide s?
True
Let u = -224 - -310. Is u a multiple of 48?
False
Let r(p) = p**3 - 2*p**2 - 18*p + 29. Is r(8) a multiple of 27?
False
Let h(c) = -25*c + 6. Let b(m) = m**3 + 3*m**2 - 5*m - 6. Let p be b(-4). Is 15 a factor of h(p)?
False
Suppose -222*p - 4549 = -3*i - 224*p, 5*i + 2*p = 7587. Does 31 divide i?
True
Suppose 0
|
{
"pile_set_name": "DM Mathematics"
}
|
22*t**2 + 4*t.
-4314
What is the third derivative of -119*g**3*t*v**3 - 2*g**3*t*v**2 + 12*g**3*t + 3*g**2*v**6 - 2*t*v + v**2 wrt v?
-714*g**3*t + 360*g**2*v**3
Find the second derivative of 3*l**4 - 120*l**3 + 8*l + 23.
36*l**2 - 720*l
Differentiate 5*b*d**2*j**2 - 5*b*d + 9*b*j**2 - 2*j**2 + 7*j wrt d.
10*b*d*j**2 - 5*b
Find the first derivative of -870*k**3 - 419 wrt k.
-2610*k**2
Differentiate -1441*x**3 + 1953.
-4323*x**2
What is the derivative of -4*v**3*x*z - 7*v**3*x + 81*v**3*z - v**3 - z wrt x?
-4*v**3*z - 7*v**3
Differentiate -393*r + 992 with respect to r.
-393
Find the third derivative of -2*r**4 - 142*r**3 - 12*r**2 wrt r.
-48*r - 852
Find the third derivative of 6*i**3*l**3 + 5*i**3 - 45*i**2*l**3 - 31*i**2*l**2 wrt l.
36*i**3 - 270*i**2
Find the second derivative of -10*t**3 - 151*t**2 + 1574*t.
-60*t - 302
Find the third derivative of 5*c*s**2*z**2 + c*s**2*z + c*s*z**4 + 5*c*z**2 - c - 3*s**2*z**4 - 9*s**2*z**3 wrt z.
24*c*s*z - 72*s**2*z - 54*s**2
What is the second derivative of -292*v**2 - 931*v wrt v?
-584
Differentiate 159*l + 263 with respect to l.
159
What is the third derivative of -30*p**3*r - 4*p**3*t + 3*p**2*r + 2*p**2*t + 5*p*r*t + 3*p wrt p?
-180*r - 24*t
What is the third derivative of 229*o**6 + 181*o**2 - o?
27480*o**3
Find the second derivative of 6*n**2*r**2 + 4*n**2*r + 27*n*r**2 - 2*n + 2*r wrt n.
12*r**2 + 8*r
What is the derivative of 2*q**2 - 1652*q - 10710 wrt q?
4*q - 1652
Find the third derivative of 242*f**4*n + 6*f**4 - f**3*n + f**2 + 2*f*n - 344 wrt f.
5808*f*n + 144*f - 6*n
Find the second derivative of 29*p**5 - 13*p**4 + 2*p**2 + 2027*p.
580*p**3 - 156*p**2 + 4
What is the second derivative of a*f**3*t + 35*a*f**2*t**2 - 21*a - 5*f**3*t**2 - f**3 - 4*t wrt t?
70*a*f**2 - 10*f**3
Find the second derivative of -3*n**2*u**2 - 1046*n**2 - 4*n*u**2 + 2*u**2 + 209*u wrt n.
-6*u**2 - 2092
What is the second derivative of l*s**2 + 732*l*s + 9*s**4 - 364*s**3 + s wrt s?
2*l + 108*s**2 - 2184*s
Find the first derivative of 15*n**3 - 2*n - 95.
45*n**2 - 2
What is the third derivative of -35*r**3*u**2 - 8*r**2 - 9*r*u**2 wrt r?
-210*u**2
Differentiate -12320*q*z**3 + 2*z**3 - 254*z wrt q.
-12320*z**3
What is the derivative of r**2*z - 18690*r**2 + 19474*z**4 wrt z?
r**2 + 77896*z**3
What is the derivative of 12*n*r**3 + 3*n*r**2 - 23*n*r - 2467*r**3 wrt n?
12*r**3 + 3*r**2 - 23*r
What is the first derivative of 2*a*c**2 - 6*a*c*f - 166*a + 23*c**2*f**2 + c*f**3 wrt f?
-6*a*c + 46*c**2*f + 3*c*f**2
Find the first derivative of -g**4 + 2*g**3*h - 77*g*h - 23*h + 4 wrt g.
-4*g**3 + 6*g**2*h - 77*h
Find the third derivative of -g*w**3*y - 54*g*w**3 + 4*g*w**2*y - 5*g*w*y - 2*w**3*y wrt w.
-6*g*y - 324*g - 12*y
What is the third derivative of 2036*t**4 + 4452*t**2?
48864*t
Find the third derivative of -s**4*t**2 - 2362*s**4*t - s**2*t - 2349*s*t**2 wrt s.
-24*s*t**2 - 56688*s*t
Find the second derivative of -2*c**3 - 24*c**2*k**2 + 17*c**2 - c*k**2 + 17*c*k - 4*k + 1 wrt c.
-12*c - 48*k**2 + 34
Differentiate -r**3 + 49*r - 592.
-3*r**2 + 49
What is the third derivative of 3*p**5 + 267*p**4 - 875*p**2 + 2*p?
180*p**2 + 6408*p
What is the third derivative of -2*a**4*s**2 - 17*a**3*s**2 - a**3*s - 134*a**2*s**2 + 2*a**2*s wrt a?
-48*a*s**2 - 102*s**2 - 6*s
Differentiate -343*j + 408.
-343
What is the first derivative of -x**3 - 144*x - 40?
-3*x**2 - 144
What is the first derivative of 2*x**3 + 1561*x**2*z**3 + 4948*z**3 wrt x?
6*x**2 + 3122*x*z**3
Find the first derivative of 7*k**3*m + 5628*k**3 - 300*k*m wrt m.
7*k**3 - 300*k
What is the third derivative of -20712*o**2*t**3*y - 9*o**2*t**2 + 2*o**2*y + 290*t**2*y wrt t?
-124272*o**2*y
Differentiate 62*c*i*k - 8*c*i - 4*c*k - c + 2*i wrt k.
62*c*i - 4*c
Find the second derivative of -1251*i**3*j*n**2 - 2*i**3 - 2*i*j*n**2 - i*j - 2*i*n**2 + 2*i*n + 41*j wrt i.
-7506*i*j*n**2 - 12*i
Find the third derivative of -15*b**3 - 291*b**2 wrt b.
-90
What is the second derivative of b**3 + 52*b**2 - 5*b - 20?
6*b + 104
What is the third derivative of 217*j**4 - 31*j**3 + 16*j**2 + 2*j + 107 wrt j?
5208*j - 186
Differentiate 2*k**3*l**2 - k**3 + 103*k**2*l**3 - 32 wrt l.
4*k**3*l + 309*k**2*l**2
What is the derivative of 260*q**4 - 84 wrt q?
1040*q**3
What is the second derivative of 15*d*r**4 + 2*d*r**3 - 10*d*r + 3*r**4 + 4*r wrt r?
180*d*r**2 + 12*d*r + 36*r**2
What is the third derivative of 2*a**3*z**4 + 28*a**3*z**3 - 10*a**3*z - 4*a*z**3 + 10*z**2 wrt z?
48*a**3*z + 168*a**3 - 24*a
Find the third derivative of 262*a**4 - 299*a**2.
6288*a
Find the first derivative of 18*q**3 - 17*q*s + 182*s wrt q.
54*q**2 - 17*s
What is the second derivative of 8*i**3*z**3 - 5*i**2*z**3 + 2*i*z**3 + 2*i*z**2 + 1 wrt i?
48*i*z**3 - 10*z**3
Find the third derivative of -301*n**6 - 246*n**2.
-36120*n**3
Differentiate 321*b - 214 with respect to b.
321
Find the first derivative of 2*l**3*z**3 + 2*l**2*z**3 + 301*l*z - 3109*z**3 wrt l.
6*l**2*z**3 + 4*l*z**3 + 301*z
Differentiate 3*j**3*t - 2*j**2 - 23*j*t**2 - 283*t**2 with respect to j.
9*j**2*t - 4*j - 23*t**2
Find the third derivative of -45*s**4 + 16*s**3 + 1228*s**2 wrt s.
-1080*s + 96
Differentiate -34*o**4 + o + 85 with respect to o.
-136*o**3 + 1
Find the second derivative of 9*n**4 - 71*n**2 + 218*n wrt n.
108*n**2 - 142
What is the third derivative of -431*j**6*u**3 - 3*j**6 + 1351*j**2 + 3*j*u**3 wrt j?
-51720*j**3*u**3 - 360*j**3
What is the derivative of -174*h**3*l - 7*h**3 - 11*h wrt l?
-174*h**3
What is the second derivative of 1978*i**3*r**2 + 3*i**3*r - 289*i*r**2 + 22*r**2 wrt i?
11868*i*r**2 + 18*i*r
Find the second derivative of -h**5*j**2*t + 189*h**2*t - 13*h + 5*j**2 + 2*t wrt h.
-20*h**3*j**2*t + 378*t
What is the third derivative of -8*d**5*l - d**4*l + 2*d**3*l**2 + 2*d**2*l - 51*d*l**2 wrt d?
-480*d**2*l - 24*d*l + 12*l**2
What is the third derivative of 39*j**3*y*z**2 - 2*j**3*y + 3*j**3*z - 2*j**2*y*z**2 + 15*j*z**2 - 2*y*z wrt j?
234*y*z**2 - 12*y + 18*z
Find the second derivative of 13*f**3*r**2 + 1322*f**3 + f*r + 21*r**2 wrt r.
26*f**3 + 42
Find the second derivative of 4366*m**2 - 3307*m.
8732
Find the second derivative of 2*n**3*t**2 - 961*n**3*t - n*t - 1072*t**4 wrt t.
4*n**3 - 12864*t**2
What is the third derivative of 4921*v**6 - v**2 - 3*v + 899?
590520*v**3
Find the second derivative of -803*w**2 - 16*w.
-1606
What is the third derivative of -2*f*i**3 - 537*f*i + 381*i**5 + i**3 - 2*i**2 wrt i?
-12*f + 22860*i**2 + 6
What is the first derivative of -4180*f**2*z + 3*f**2 - 12*f + 8 wrt z?
-4180*f**2
Find the third derivative of 4*i*n**3*r**2*x + 31*i*n**3*x**2 - 51*i*n**2*r**3 + i*n*r**2*x**2 - 14*n**3*r**3*x**2 - n*r**2 + r**2 wrt r.
-306*i*n**2 - 84*n**3*x**2
Find the first derivative of 3429*u**3 - u - 15101 wrt u.
10287*u**2 - 1
What is the derivative of -903*n**3 + 317?
-2709*n**2
What is the second derivative of -3248*w**3 + 2*w**2 - 90*w - 24?
-19488*w + 4
Find the second derivative of g**3*m**2 + 61*g**3 - 6*g - 11*m**2 wrt g.
6*g*m**2 + 366*g
What is the third derivative of -2*n**4 + 72*n**3*x**3 + 61*n**2 + 3*x**3 wrt n?
-48*n + 432*x**3
What is the second derivative of 2*j**2*m**2*u + 76*j**2*m**2 + 2*j**2 - j*m**2*u - 6*j*m*u - 3*m wrt m?
4*j**2*u + 152*j**2 - 2*j*u
Find the second derivative of 8362*b**3 - 2*b + 936 wrt b.
50172*b
Differentiate 4*j**2 - 110*j + 5403.
8*j - 110
Find the second derivative of -10*c**4 - 165*c wrt c.
-120*c**2
Find the second derivative of 2*g*k**2*o**2 + 2*g*k**2*o - 7*g*k**2*p + 2*g*k*o**2 + 2*g*k*o*p - 298*k*o**2*p wrt k.
4*g*o**2 + 4*g*o - 14*g*p
What is the second derivative of 125*d*h**2*v + 2*d*h - 4*d*v + 5*h**2*v - 14*h wrt h?
250*d*v + 10*v
What is the first derivative of -37*h**2*j**4 + 2433*h**2 - 204*h*j wrt j?
-148*h**2*j**3 - 204*h
What is the derivative of -192*s**2*t + 52*s**2 wrt t?
-192*s**2
Find the third derivative of 1621*j**4 + 3*j**2 + 137 wrt j.
38904*j
Differentiate -3*m**2*t**2 + 556*m**2 - 2*t**3 + 28*t with respect to t.
-6*m**2*t - 6*t**2 + 28
Differentiate 645*a**2*l*y**2 + 41*a**2*l + a*l*y**2 - 3*a*l + 14*l wrt y.
1290*a**2*l*y + 2*a*l*y
Find the second derivative of v**3*x - 439*v**2*x + 2234*v*x wrt v.
6*v*x - 878*x
Differentiate -752*a**3*k**2 - 2*a**3 - 493*k**2 + 2 wrt a.
-2256*a**2*k**2 - 6*a**2
What is the t
|
{
"pile_set_name": "DM Mathematics"
}
|
3441896*g/13 + 181440/13 = 0.
-648, -35, 2/13, 1/6
Factor -5*x**3 - 1296730*x**2 - 84094882220*x - 2521679544600.
-5*(x + 30)*(x + 129658)**2
Factor -b**4/4 + 23055*b**3/2 + 588336*b**2 + 20008337*b/2 + 226788993/4.
-(b - 46161)*(b + 17)**3/4
Factor -3*o**3 + 31400874*o**2 - 82167813127620*o - 493008009197832.
-3*(o - 5233482)**2*(o + 6)
Determine r so that -r**2/8 - 1487*r/4 + 182007 = 0.
-3402, 428
Factor 5*x**2 + 3120*x + 12400.
5*(x + 4)*(x + 620)
Factor 3*g**2 - 129240*g - 2974107.
3*(g - 43103)*(g + 23)
Determine u, given that u**4 + 20005*u**3 - 20018*u**2 - 240072*u = 0.
-20006, -3, 0, 4
Let -15*z**4/7 + 44799*z**3/7 - 33423378*z**2/7 - 13376520*z/7 = 0. What is z?
-2/5, 0, 1460, 1527
Factor 4*u**3 - 1851648*u**2 - 5554980*u.
4*u*(u - 462915)*(u + 3)
Factor -2*l**2/5 + 25291856*l/5 - 79959747490592/5.
-2*(l - 6322964)**2/5
What is f in 2*f**4 + 326*f**3 + 8180*f**2 - 8688*f - 1077120 = 0?
-132, -24, -17, 10
Factor -399*v**2/5 - 14859*v/5 + 36048/5.
-3*(7*v - 16)*(19*v + 751)/5
Factor -x**4 - 4062*x**3 + 28467*x**2 - 65092*x + 48828.
-(x - 3)*(x - 2)**2*(x + 4069)
Find t, given that 3*t**5 - 15057*t**4 - 60279*t**3 + 15021*t**2 + 241068*t + 180828 = 0.
-3, -2, -1, 2, 5023
Factor -2*l**3 + 31632*l**2 + 379818*l + 854712.
-2*(l - 15828)*(l + 3)*(l + 9)
Factor -i**2 + 16634*i - 8145145.
-(i - 16129)*(i - 505)
Let -3*d**5 - 387*d**4/5 - 369*d**3 + 3099*d**2 + 25020*d + 179172/5 = 0. What is d?
-79/5, -9, -6, -2, 7
Factor -8*i**2 - 26064982*i + 6516246.
-2*(i + 3258123)*(4*i - 1)
Determine t so that 804*t**4 + 557968*t**3 + 2165248*t**2 - 33307200*t + 331200 = 0.
-690, -10, 2/201, 6
Factor w**2 + 11781396*w + 34700322927204.
(w + 5890698)**2
Find j, given that 5*j**4/2 + 72855*j**3/2 - 5100565*j**2 + 164228400*j + 953208000 = 0.
-14710, -5, 72
Find v, given that -3*v**2/8 + 4125684*v - 11347512311904 = 0.
5500912
Factor 4*p**3/3 + 12841732*p**2/3 + 3435628822784*p + 3435624542208.
4*(p + 1)*(p + 1605216)**2/3
Find x such that -25*x**3/11 + 17437*x**2/11 - 444514*x/11 + 19032 = 0.
12/25, 26, 671
Factor 18*r**3 + 568506705*r**2 + 4488887086373844*r - 748147863520827.
3*(r + 15791853)**2*(6*r - 1)
Factor -720478416100*d**2 - 380266880*d - 50176.
-4*(424405*d + 112)**2
Factor b**3/2 - 3208331*b**2/2 + 2573188131655*b/2 + 254777070856275/2.
(b - 1604215)**2*(b + 99)/2
Determine w, given that 3*w**2/2 + 3999*w - 2503701/2 = 0.
-2949, 283
Find f, given that 73167*f**5 - 48416370*f**4 + 836066868*f**3 - 588512442*f**2 + 140694141*f - 11265492 = 0.
7/29, 17, 644
Suppose 2*n**2/9 + 16661158*n/9 - 33322324/9 = 0. Calculate n.
-8330581, 2
Determine r, given that -r**2 - 15072914*r - 56798184112849 = 0.
-7536457
Let 2*x**4 - 22540*x**3 + 90134*x**2 - 67596*x = 0. Calculate x.
0, 1, 3, 11266
Determine g so that -g**2/4 + 2892*g + 4849065/4 = 0.
-405, 11973
Suppose -r**3/2 - 2579*r**2/2 + 5161*r/2 - 2581/2 = 0. Calculate r.
-2581, 1
Let 4*b**3 - 163760*b**2 - 8851788*b - 119538504 = 0. Calculate b.
-27, 40994
Determine m, given that 2*m**5/7 + 1198*m**4/7 - 91082*m**3/7 + 1720466*m**2/7 - 403920*m - 4640184/7 = 0.
-669, -1, 3, 34
Factor -3*y**2 - 684027828*y - 38991172456533132.
-3*(y + 114004638)**2
Let -5*d**4/3 - 5560*d**3/3 - 1815*d**2 + 122410*d/3 + 222200/3 = 0. Calculate d.
-1111, -4, -2, 5
Determine h so that -84*h**5 - 3844*h**4 + 125312*h**3 - 854800*h**2 + 1915008*h - 933120 = 0.
-486/7, 2/3, 4, 15
What is f in -2*f**5/11 - 9384*f**4/11 - 74554*f**3/11 + 1825068*f**2/11 - 720288*f + 10117440/11 = 0?
-4684, -20, 3, 6
Factor b**2 - 19888*b - 27005264.
(b - 21164)*(b + 1276)
What is z in -2*z**2/19 + 5509028*z/19 = 0?
0, 2754514
Factor -3*x**2/2 - 4599*x - 6980955/2.
-3*(x + 1381)*(x + 1685)/2
Suppose g**2/3 + 537*g - 40900/3 = 0. What is g?
-1636, 25
Determine f so that f**2/2 + 9773*f/2 - 1987062 = 0.
-10164, 391
Determine l so that -4*l**2/5 - 293632*l/5 - 1761072 = 0.
-73378, -30
Determine k so that -24*k**5 - 2631*k**4 + 69702*k**3 - 155175*k**2 + 111888*k - 23760 = 0.
-132, 3/8, 1, 20
Solve -20*g**4 + 16305*g**3 - 2319955*g**2 - 8946630*g + 2381400 = 0.
-4, 1/4, 189, 630
Let -f**2 + 71185*f + 569544 = 0. Calculate f.
-8, 71193
Suppose -s**3/4 - 1219*s**2/4 - 8069*s - 27416 = 0. What is s?
-1192, -23, -4
Solve -27*q**5 - 1737*q**4 - 20361*q**3 - 50763*q**2 - 10452*q + 9900 = 0.
-50, -11, -3, -2/3, 1/3
Determine b, given that 2*b**4/9 - 29578*b**3/3 + 147854*b**2 - 5588450*b/9 + 482944 = 0.
1, 7, 44352
Let -2*n**5/13 + 450*n**4/13 - 26812*n**3/13 + 165884*n**2/13 + 26814*n/13 - 166334/13 = 0. What is n?
-1, 1, 7, 109
Find z, given that 3*z**2 - 12060645*z + 48242532 = 0.
4, 4020211
Find n, given that 3*n**2 - 522516333*n = 0.
0, 174172111
Find v such that -22*v**5 + 3356*v**4 + 104502*v**3 - 57996*v**2 = 0.
-27, 0, 6/11, 179
Solve 3*z**5 - 2537*z**4 - 184979*z**3 + 505377*z**2 - 445684*z + 127820 = 0.
-70, 2/3, 1, 913
Solve 2*x**5/17 + 694*x**4/17 - 2216*x**3/17 - 40288*x**2/17 + 110208*x/17 + 352800/17 = 0 for x.
-350, -7, -2, 6
Let 5*f**5 + 112190*f**4 - 3368820*f**3 + 31002070*f**2 - 84701825*f + 56956380 = 0. Calculate f.
-22468, 1, 3, 13
Suppose -c**4/6 - 8467487*c**3/6 - 3983240423760*c**2 - 3747557398872411648*c + 3747561382114246656 = 0. Calculate c.
-2822496, 1
Let -7*g**5/5 - 352*g**4/5 + 354569*g**3/5 + 37312382*g**2/5 - 26933632*g/5 - 2146592 = 0. What is g?
-148, -2/7, 1, 245
Let 946596*y**4 + 7257242*y**3 + 12621326*y**2 - 5048432*y - 32 = 0. What is y?
-4, -1/157766, 1/3
Suppose -d**5/4 + 85*d**4 + 21023*d**3/4 + 49643*d**2/2 + 38957*d + 19306 = 0. What is d?
-49, -2, -1, 394
Determine f, given that -2*f**5/13 + 2412*f**4/13 - 59336*f**3/13 + 337164*f**2/13 + 716842*f/13 - 6944280/13 = 0.
-4, 7, 15, 1181
Find f, given that -2*f**4 + 712922*f**3 - 63543983772*f**2 + 2096150929432*f + 2159695626128 = 0.
-1, 34, 178214
Factor t**3/7 + 92723*t**2 + 105328807207*t/7 + 2843404648803/7.
(t + 27)*(t + 324517)**2/7
Find h, given that -h**5/8 + 8273*h**4/4 + 74489*h**3/4 + 70361*h**2/2 - 148977*h/8 - 148995/4 = 0.
-6, -3, -1, 1, 16555
Find d such that -684*d**2 + 31400*d + 2944 = 0.
-16/171, 46
Factor -h**3/4 - 6238*h**2 - 39271925*h - 4471994996.
-(h + 116)*(h + 12418)**2/4
Suppose 5*j**4/3 - 566*j**3/3 + 12676*j**2/3 - 59290*j/3 + 15725 = 0. Calculate j.
1, 5, 111/5, 85
Let 3*g**5 - 3213*g**4 - 601719*g**3 + 3063069*g**2 - 4929072*g + 2470932 = 0. What is g?
-167, 1, 2, 1233
Factor 3*w**4/4 - 3645*w**3/4 + 208656*w**2 + 43690752*w.
3*w*(w - 672)**2*(w + 129)/4
Determine l, given that -12*l**2 + 198764732*l + 198764744 = 0.
-1, 49691186/3
What is f in -4*f**5 + 1232*f**4 + 797596*f**3 + 8671768*f**2 + 31410048*f + 37618560 = 0?
-311, -4, -3, 630
Factor 4*b**2 + 11816864*b - 94535168.
4*(b - 8)*(b + 2954224)
Suppose 3*u**2/5 - 456273*u/5 + 122520354/5 = 0. What is u?
269, 151822
Determine a so that 2*a**2/5 + 792*a/5 - 6811064/5 = 0.
-2054, 1658
Suppose -5*k**3 - 1037520*k**2 + 20*k + 4150080 = 0. What is k?
-207504, -2, 2
Find g, given that 3*g**3 - 61495902*g**2 - 122991813*g - 61495908 = 0.
-1, 20498636
Determine p so that -3*p**4/2 + 5643*p**3/2 - 539937*p**2/2 + 1062957*p/2 - 264330 = 0.
1, 99, 1780
Find r, given that -2*r**2/17 + 3530*r/17 - 1118628/17 = 0.
414, 1351
Factor h**5/2 - 367317*h**4/2 - 734637*h**3/2 - 367319*h**2/2.
h**2*(h - 367319)*(h + 1)**2/2
Factor -g**2/9 - 1049773*g/9 + 2099558/3.
-(g - 6)*(g + 1049779)/9
Factor -y**3/4 - 11167*y**2/4 + 178865*y/4 - 704529/4.
-(y - 9)*(y - 7)*(y + 11183)/4
Factor -4*m**2 + 1131462*m - 1697184.
-2*(m - 282864)*(2*m - 3)
What is k in -3*k**4 - 340*k**3 - 5673*k**2 = 0?
-93, -61/3, 0
Determine g, given that -4*g**3 - 879*g**2 + 981607*g + 736698 = 0.
-617, -3/4, 398
Solve u**3/4 + 84094*u**2 = 0 for u.
-336376, 0
Factor 4*y**4 - 150016*y**3 + 1537522912*y**2 - 2456003745792*y + 1072118717914176.
4*(y - 17834)**2*(y - 918)**2
Let -10*x**4 - 765*x**3 + 990*x**2 + 166685*x + 604500 = 0. Calculate x.
-75, -13, -4, 31/2
Determine f, given that -2*f**2/7 + 968134*f + 60992604/7 = 0.
-9, 3388478
Solve -73*y**2/4 - 80153*y/8 + 549/8 = 0 for y.
-549, 1/146
Find t such that -45*t**5 - 1565*t**4 - 9660*t**3 + 34860*t**2 + 30160*t - 96000 = 0.
-25, -12, -16/9, 2
Factor -b**4/2 + 2010738*b**3 - 2021537673794*b**2 + 8086126566336*b - 8086118523392.
-(b - 2010736)**2*(b - 2)**2/2
Let -3*c**2/
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from {k: 4, o: 3, t: 4, j: 3}?
18/1001
What is prob of picking 1 f and 1 c when two letters picked without replacement from ccobcofcfsccobf?
6/35
What is prob of picking 2 z and 2 l when four letters picked without replacement from zzllzzlz?
3/7
Three letters picked without replacement from {u: 3, o: 4, x: 1, g: 2, z: 2}. What is prob of picking 1 x, 1 o, and 1 g?
2/55
What is prob of picking 1 i and 1 w when two letters picked without replacement from {r: 3, i: 6, w: 4}?
4/13
Three letters picked without replacement from {g: 2, s: 1, v: 1, m: 1}. Give prob of picking 2 g and 1 m.
1/10
What is prob of picking 2 c when two letters picked without replacement from {b: 3, a: 4, p: 2, c: 8}?
7/34
Calculate prob of picking 2 c when two letters picked without replacement from {c: 17, f: 3}.
68/95
What is prob of picking 1 t and 1 d when two letters picked without replacement from {c: 5, t: 4, d: 1, i: 2, o: 2}?
4/91
What is prob of picking 1 g and 1 h when two letters picked without replacement from {d: 1, o: 1, h: 4, r: 3, g: 1, m: 5}?
4/105
Two letters picked without replacement from {h: 7, a: 1, f: 3, m: 7, x: 1}. Give prob of picking 2 m.
7/57
Calculate prob of picking 1 c and 2 j when three letters picked without replacement from ccjjccjccj.
3/10
Three letters picked without replacement from {a: 1, f: 12}. What is prob of picking 3 f?
10/13
Three letters picked without replacement from ccrccccccrrccccc. What is prob of picking 1 r and 2 c?
117/280
What is prob of picking 1 h and 1 b when two letters picked without replacement from {t: 1, w: 1, h: 1, z: 1, b: 1}?
1/10
Four letters picked without replacement from {a: 7, b: 2, w: 1, o: 4}. Give prob of picking 3 a and 1 o.
20/143
Calculate prob of picking 1 e and 2 m when three letters picked without replacement from mmvvvmuvvmvmmevm.
3/80
Three letters picked without replacement from {o: 5, l: 2, n: 2, j: 2, c: 5, k: 1}. What is prob of picking 2 c and 1 n?
1/34
Four letters picked without replacement from aryayaaayaabaaaababb. Give prob of picking 1 r and 3 b.
4/4845
What is prob of picking 1 g, 1 c, and 1 w when three letters picked without replacement from {c: 1, h: 2, w: 1, q: 2, g: 2, l: 1}?
1/42
What is prob of picking 3 e when three letters picked without replacement from {y: 1, e: 3}?
1/4
Two letters picked without replacement from {a: 3, k: 6, j: 6, q: 3}. What is prob of picking 1 j and 1 k?
4/17
Three letters picked without replacement from qxqxfsrsqufrfusq. What is prob of picking 2 r and 1 f?
3/560
Two letters picked without replacement from xxxxxxxoxozxxxooxoxz. What is prob of picking 1 z and 1 x?
13/95
Calculate prob of picking 2 s and 2 h when four letters picked without replacement from {s: 14, h: 4}.
91/510
Three letters picked without replacement from {x: 4, h: 4, s: 3, p: 9}. Give prob of picking 1 h, 1 s, and 1 p.
9/95
What is prob of picking 1 t, 1 u, and 2 h when four letters picked without replacement from udhustsdhdddhhuhh?
9/476
What is prob of picking 1 l, 1 r, 1 n, and 1 k when four letters picked without replacement from {k: 7, r: 2, n: 1, l: 9}?
21/646
Two letters picked without replacement from {o: 3, f: 4, y: 3, u: 2, j: 4}. What is prob of picking 1 u and 1 f?
1/15
Two letters picked without replacement from {j: 5, f: 2, z: 1, e: 1, p: 1}. What is prob of picking 1 j and 1 z?
1/9
Two letters picked without replacement from {n: 2, s: 1, y: 4, h: 2, c: 3}. Give prob of picking 2 c.
1/22
Four letters picked without replacement from tpppppppttt. Give prob of picking 3 p and 1 t.
14/33
Two letters picked without replacement from reffxellu. Give prob of picking 1 x and 1 u.
1/36
Two letters picked without replacement from {b: 1, u: 4, l: 1, o: 1, r: 2, v: 3}. Give prob of picking 2 v.
1/22
Three letters picked without replacement from nhhuhhhnhunohuhoh. What is prob of picking 2 u and 1 o?
3/340
Three letters picked without replacement from {a: 1, y: 1, r: 2, s: 2, q: 1, o: 2}. What is prob of picking 1 q, 1 a, and 1 s?
1/42
Three letters picked without replacement from {e: 1, j: 6, l: 5, r: 1, z: 2, v: 2}. What is prob of picking 1 z and 2 l?
1/34
Two letters picked without replacement from {h: 2, x: 1, y: 4}. Give prob of picking 2 y.
2/7
Four letters picked without replacement from pggpgupbuggs. Give prob of picking 3 g and 1 b.
2/99
What is prob of picking 1 s and 3 c when four letters picked without replacement from {c: 17, s: 1}?
2/9
Two letters picked without replacement from kbkkkkkkkkkakkkkkkk. Give prob of picking 1 k and 1 a.
17/171
Four letters picked without replacement from nynnynn. What is prob of picking 1 y and 3 n?
4/7
Two letters picked without replacement from {d: 11, x: 1, i: 7}. Give prob of picking 2 d.
55/171
Calculate prob of picking 2 u, 1 d, and 1 k when four letters picked without replacement from {d: 1, c: 3, k: 1, u: 5, e: 3}.
2/143
What is prob of picking 2 l when two letters picked without replacement from eelldldelxldlxll?
7/30
What is prob of picking 2 a when two letters picked without replacement from {m: 1, a: 2, d: 5, s: 2, r: 1, u: 4}?
1/105
Calculate prob of picking 3 y when three letters picked without replacement from jjjyjyjyjjyjyjjjyj.
5/204
Calculate prob of picking 4 u when four letters picked without replacement from {u: 10}.
1
What is prob of picking 2 x and 1 d when three letters picked without replacement from {d: 1, r: 4, x: 3}?
3/56
Four letters picked without replacement from jgkvigjjkjgjigujg. What is prob of picking 2 j and 2 k?
3/476
Calculate prob of picking 2 t when two letters picked without replacement from {t: 4, v: 7}.
6/55
What is prob of picking 1 v, 1 d, and 1 i when three letters picked without replacement from {i: 5, v: 3, d: 8}?
3/14
What is prob of picking 4 e when four letters picked without replacement from eeeee?
1
Two letters picked without replacement from {g: 2, m: 1, q: 4}. What is prob of picking 2 g?
1/21
Two letters picked without replacement from nnznznznnnnnnrznnrrr. What is prob of picking 1 n and 1 z?
24/95
What is prob of picking 1 u and 1 q when two letters picked without replacement from vuvvuvvqqvuvuvu?
2/21
Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {k: 3, q: 3, u: 12, b: 2}.
18/95
Calculate prob of picking 2 g when two letters picked without replacement from grg.
1/3
Four letters picked without replacement from {j: 1, l: 5, m: 10, c: 2, e: 2}. What is prob of picking 1 c, 1 m, 1 l, and 1 j?
20/969
Two letters picked without replacement from xxkxxxxxxxxxxxxxxxx. Give prob of picking 1 k and 1 x.
2/19
What is prob of picking 1 l and 1 q when two letters picked without replacement from cxxxxlxxxxxcxxq?
1/105
Three letters picked without replacement from rrrrrrrrgrgr. What is prob of picking 1 g and 2 r?
9/22
Two letters picked without replacement from wkkwkkcel. What is prob of picking 1 c and 1 l?
1/36
Four letters picked without replacement from {v: 2, h: 3, o: 2, k: 5}. Give prob of picking 1 v, 1 h, and 2 o.
2/165
Calculate prob of picking 3 c when three letters picked without replacement from {i: 1, c: 14}.
4/5
Three letters picked without replacement from llllqllqllql. Give prob of picking 1 l and 2 q.
27/220
Four letters picked without replacement from ffggg. Give prob of picking 2 g and 2 f.
3/5
Three letters picked without replacement from grgzzzzzmzgzim. Give prob of picking 3 z.
5/52
What is prob of picking 1 o and 3 r when four letters picked without replacement from {r: 4, o: 6, i: 2, t: 2, b: 2, f: 1}?
6/595
What is prob of picking 2 q when two letters picked without replacement from {o: 9, q: 9}?
4/17
Three letters picked without replacement from {s: 1, u: 2, i: 2, l: 1, j: 1, h: 1}. What is prob of picking 1 u, 1 s, and 1 l?
1/28
Calculate prob of picking 3 i and 1 y when four letters picked without replacement from {g: 7, y: 4, i: 4}.
16/1365
Three letters picked without replacement from {z: 1, a: 3, b: 3}. What is prob of picking 3 b?
1/35
What is prob of picking 1 j and 2 t when three letters picked without replacement from {t: 3, j: 1}?
3/4
Three letters picked without replacement from {i: 9, f: 2}. What is prob of picking 2 f and 1 i?
3/55
Two letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
g*c + 10 = -0*c for c.
-2
Let s = 16 - 12. Suppose -s*n = 3*q + n, -5*q = -3*n. Let v = -25 - -27. Solve o - v = -q for o.
2
Let i(o) = o**3 + 2*o**2 - 4*o + 12. Let h be i(0). Solve -6 + h = 2*k for k.
3
Let k be (-7 + (-200)/(-24))*6. Solve -9*d + k = -d for d.
1
Suppose -l + 5 = z, -l + 6 = -2*z + 31. Let v be (-22)/(-10) + z/(-50). Suppose -3*a - 3 = -2*s + 2*a, 5*a - 33 = -v*s. Solve 7 = 4*x - s for x.
4
Let k(u) = -8*u - 23. Suppose 3*d = -10*c + 6*c - 31, -5*c - 10 = -2*d. Let o be k(c). Solve -o = -m - 2*m for m.
3
Let h(m) = -m**2 + 8*m - 9. Let c(q) = -q**2 + 8*q - 8. Let g(z) = -6*c(z) + 7*h(z). Let x be g(6). Let s be 2 - (6/x - -3). Solve s = b + 4 for b.
-3
Let k(g) = g**3 + 19*g**2 + 19*g + 18. Let n(w) = 2*w**2 + 25*w - 6. Let j be n(-12). Let f be k(j). Solve -5*x = -f*x for x.
0
Let z = 81 - 78. Suppose -5*l - 4*c - 2 = -7*c, -l + 4*c - 14 = 0. Solve -z*r = -l*r + 3 for r.
-3
Let a be (16/(-10))/(70/(-525)). Solve -a = 3*v + v for v.
-3
Suppose g + 5*k = -6, -4*g + 2*g + 4*k = -2. Let y be g/3 + 16/3. Suppose -3*z - f + 26 = 0, 2*z + 3 - 9 = y*f. Solve z = -3*r + 5*r for r.
4
Let k(f) be the second derivative of -f**4/12 + f**3/3 + 14*f. Let a be k(2). Solve -4*l - 10 - 10 = a for l.
-5
Let l = -20 - -23. Suppose l*m - m = -66. Let p = 48 + m. Solve 3*t = 8*t + p for t.
-3
Suppose 0 = -3*r + r - n + 13, 2*n - 21 = -3*r. Let h be (-5)/(0 - r) + 0. Suppose 2*l - 4*s - 8 = 0, -4*l - l - 3*s = -20. Solve -a = h + l for a.
-5
Let w be 1/(2/10 + 0). Suppose 61*x - 50*x = -1859. Let d = x + 174. Solve -d*h + 10 = -w for h.
3
Suppose -112 - 96 = -26*d. Solve -d*b + 4*b = -4 for b.
1
Let d(q) = q**3 + 3*q**2 - 5*q + 1. Let g be d(-4). Suppose f + 1 = g. Suppose -54 = 13*a - 19*a. Solve -f*y = -a*y - 20 for y.
-4
Suppose 0 = -59*d + 54*d. Solve 0*w + 3*w + 12 = d for w.
-4
Let b(y) = y - 28. Let j be b(36). Solve -j*i - 47 = -15 for i.
-4
Let q = -21 - -27. Let p = 10 - q. Solve 0 = p*j - 9*j + 15 for j.
3
Let k(o) = o + 10. Suppose 3*d = -15 - 3. Let q be k(d). Solve -i - q = 3*i for i.
-1
Suppose -5*z + 3*a + 23 = 0, -z + 8 = -5*a - 1. Suppose 6 = -z*l + 5*l. Suppose -8 = 2*q - l*q. Solve -3*x = q*x for x.
0
Suppose -3*u + 3 = -9. Let l(d) = d**3 + 2*d**2 - 1. Let i be l(-1). Solve i = u*b + 3 - 11 for b.
2
Suppose -9 + 117 = 36*p. Solve -p = 11*m - 10*m for m.
-3
Let y(s) = 5*s - 2. Let z(u) = 4*u - 2. Let d(p) = 3*y(p) - 4*z(p). Let a be d(-2). Solve w = a*w for w.
0
Suppose -43*i + 328 = -2*i. Solve -m + i = m for m.
4
Suppose 3*c + 2*z + 2*z - 79 = 0, c - 5*z = 20. Let f = c - 23. Solve 0*n - f*n = 4 for n.
-2
Suppose j + 52 = 7*l - 4*l, 0 = -2*l + j + 36. Solve 7*q + l = 2 for q.
-2
Let t be ((-320)/(-24)*6/4)/1. Solve l - 11*l = -t for l.
2
Let i be (-3 + (-33)/(-1))*(-1)/(-2). Suppose -i = -11*f + 6*f. Solve 3*g - 2*g = -f for g.
-3
Let u be ((-24)/7)/(((-143)/(-91))/(-11)). Solve 15*p = 21*p + u for p.
-4
Suppose -11 - 6 = -2*t + 5*r, 0 = 4*t - 4*r - 40. Solve -4 = -15*w + t*w for w.
1
Suppose 10 = 5*r - 5*j, -16 + 5 = -2*r - 5*j. Let u be r + -4 - -1 - -2. Solve 0 = -u*b + 2 for b.
1
Suppose -9*o - 31*o = -80. Solve -o*c - 3*c + 20 = 0 for c.
4
Let s be (-6)/(-9*1/(-6)). Let o(z) = -z**3 - 4*z**2 - z. Let n be o(s). Solve -n*b + 11 = 3 for b.
2
Let j = -30 - -30. Suppose -h - 25 = 5*u, 3*h - h + 3*u + 22 = j. Let s be h + 3 - (-12)/3. Solve 3 + 1 = -s*l for l.
-2
Let u = 17 + -17. Let x be ((-77)/(-14) + -6)/((-2)/12). Solve u*c + x = c for c.
3
Let n(v) = 36*v**2 + 11*v + 11. Let p be n(-1). Solve 12 = -6*l + p for l.
4
Let z(f) = -3*f - 12. Let v = -36 - -30. Let p be z(v). Suppose 3*g + 0 = p. Solve 0 = -5*d + g*d for d.
0
Suppose 0 = -o + 4, 107*o - 103*o = -4*g + 32. Solve 24 = -g*y + 4 for y.
-5
Let d(j) = j**2 + 12*j - 41. Let g(a) = -3*a**2 + 2*a + 1. Let x be g(-2). Let i be d(x). Solve -k = k - i for k.
2
Suppose 2*y = 7*y - 10. Suppose y*z - 28 = -5*z. Solve -3*b + z = b for b.
1
Suppose -4*c - 14*q = -13*q - 31, -q - 4 = -c. Solve 0 = -2*w + c*w + 7*w for w.
0
Let f(o) = -o**2 - 39*o + 2. Let v be f(-39). Suppose 5*s + 6 = 3*j - 0, 2*s - 4 = -2*j. Suppose 12 = 3*b - j*b. Solve v*y + b = 6*y for y.
3
Let d(n) = -n**2 - 3*n - 2. Let r be d(-4). Let w be r*(-2 + 32/12). Let x be (-112)/(-24) - w/(-6). Solve x + 8 = -4*u for u.
-3
Suppose -v + 3*u + 5 = -12, 5*v + 4*u - 9 = 0. Suppose -v*w = -9*w. Solve -6 = -2*o - w*o for o.
3
Let l(p) = -21 - 896*p + 893*p + 8. Let j be l(-5). Solve 2*d + j*d - 20 = 0 for d.
5
Let h(m) = -m**2 + 4*m + 2. Let r = 0 + 3. Let v be h(r). Let z be (-1)/(-7)*70/20*8. Solve -3*y - z = -v*y for y.
2
Let m = -434 + 437. Solve -m*y - y = 0 for y.
0
Suppose -2*z + 3 = z. Let n be 9/12*4*z. Let r be 1 - (-20)/6 - 2/6. Solve 11 = -n*d - r for d.
-5
Suppose 0 = -6*a + a - 120. Let w = 26 + a. Solve -w*z = z for z.
0
Let s be (34/153)/(11/495). Solve s = -8*q + 42 for q.
4
Suppose 0 = -2*d + 6*d. Solve -5*v - 5 = -d*v for v.
-1
Suppose 2*w - 18 = o - 5, -w + 3*o + 9 = 0. Suppose b - w = -p, -b - 5*p + 25 = 11. Solve -b*t = -9*t + 20 for t.
4
Let j = 7 - 7. Let q be (-517)/(-165) + 7 - (-4)/(-30). Solve j*u = 2*u - q for u.
5
Let x = 44 + -44. Let q be x/(-1 - 0 - 0). Solve q*m = -3*m - 15 for m.
-5
Suppose 0 = 2*i + 4*l - 16, i - 2*l - 3 = l. Suppose -5*s + 44 + 1 = 5*z, -i = 3*z. Suppose -4*k - 5*b = s, -k - b - 4*b = 14. Solve 0 = f - 2 - k for f.
3
Suppose 111 = 4*v - 5*y, -2*v + 2*y + 42 = 4*y. Suppose -3*j - v = -7*j. Solve -j*u = -3*u - 9 for u.
3
Suppose -4*f + 4*s + 12 = 0, 3*f - 18 = -5*s + 31. Suppose -33 = -19*a + f*a. Solve -a = -d + 1 for d.
4
Suppose 0 = 4*f + f - 10. Suppose -f*s - 3*s = -5*k - 20, -2*k = 4*s - 4. Solve 1 = -s*g + 5 for g.
2
Let r(f) = -8*f + 16. Let t be r(2). Solve t = 4*w - 9*w - 20 for w.
-4
Let g(k) = k**2 + 31*k - 218. Let i be g(6). Solve -31*r = -33*r - i for r.
-2
Let w(x) = 3*x**2. Suppose -n = 4*n + 3*k + 20, 2*n + k + 7 = 0. Let h be w(n). Solve h = -5*g - 2 for g.
-1
Suppose 0 = -5*m + 4*f - 12, 5*m - 2*f + 0*f + 6 = 0. Suppose -6*y + 0*y + 120 = m. Solve 5*r = -y - 5 for r.
-5
Suppose 2*w - 30 = -2*v + 4*w, 66 = 4*v + 2*w. Suppose -28*n = -32*n + v. Solve -3 + n = -i for i.
-1
Let f(v) = 3*v**2 - v. Suppose 4 = -6*b + 2*b. Let p be f(b). Let r = -3 + p. Solve 2*d + 7 = -r for d.
-4
Let h be 3/(21/14)*6. Solve 16*b - h*b = 20 for b.
5
Let q(v) = -v**3 - v - 1. Let y be q(-1). Suppose 5*d = 9*d + 16. Let a be (3 - 7 - d)/y. Solve -4*x = -a*x for x.
0
Suppose -298 = 3*d - 313. Let g be 20/6 - (-2)/(-6). Solve 8 = -g*q + d*q for q.
4
Let l(g) = 8*g + 139. Let c be l(-15). Solve c*t = -7 + 64 for t.
3
Suppose -j = -h - 2, 8*h - 4*h = 0. Solve -j*m = -0*m for m.
0
Let d be (-5)/(-1)*(0 - -1). Suppose 0 = d*z + z - 12. Solve z*b + 1 = -7 for b.
-4
Let g be (-8)/16*(-24)/3. Let i be (-63 + 3)*g/(-12). Solve 2*x - i = -2*x for x.
5
Let t = -47 - -66. Suppose 2*n - y = t, -3*n - 2*y = -25 - 0. Solve n = 4*g - g for g.
3
Let f(o) = o**2 + 6*o. Suppose 4*w = -25 - 3. Let g be f(w). Let s(k) = -k**2 + 8*k + 8. Let z be s(g). Solve z = -7*b + 4*b for b.
-5
Suppose 5*x + 3*a - 7 = 8, -4*x + 5*a + 12 = 0. Suppose 2*c + 8 = 4*c. Suppose -3*u + 8 = -l - 9, -3*u - l + 25 = 0. Solve u*k + x = c*k for k.
-1
Suppose -4 = 2*z, 3*d - 156 = -0*d + 3*z. Let i = 52 - d. Solve i*t = t + 4 for t.
4
Suppose 4*l + 10 = 6*l. Suppose -3*f + 5*r - 9 = 1, 2*f + 4*r + 14 = 0. Let i(j) = j**2 + 9*j + 25. Let w be i(f). Solve l + w = -5*t for t.
-2
Suppose 10*i - 3*s = 5*i + 24, 0 = -2*i + 3*s + 6. Let u be (-4)/i - 47/(-3). Suppose 5*h - 5 = -3*p - 0*p, -2*h + 4*p + 28 = 0. Solve 0 = h*j + j + u for j.
-3
Let d(y) = -8*y - 118. Let t be d(-15). Solve 3*b - 11 = -t for b.
3
Let v be 8 + -5 + (1 - 1). Suppose 2*w = -v*h - 2*h - 10, -w = 5*h + 5. Solve y - 1 = -h for y.
1
Let l(b) = -b**2 + 2 + 2 + 0 + 6*b. Let q(z) = -z**3 + 10*z**2 + 11*z + 6. Let a be q(11). Let r be l(a). Solve 0 = -r*t + 3*t for t.
0
Suppose 12*j + 5 = 11*j. Let k(m) = m**3 + 5*m**2 + 4. Let q be k(j). Suppose 3*a + 9 = 4*u, -u - a = -q*a. Solve -9 = -4*c + u for c.
3
Let a(r) be the second derivative of -r**3/6 + r**2/2 - 7*r. Let p be a(-2). Suppose -2*s = -s - p. Solve -5 = -s*y + 4 for y.
3
Suppose 2*x + 3*s = -6, -x + 16 = 3*x - s. Suppose -5*m = -2*k + 2, 8 = 5*k - 5*m + 3. Solve k = f - x for f.
4
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
tor of -25/776 and 54/283115.
219697240
Find the common denominator of 71/308902 and -135/2162314.
2162314
Find the common denominator of -37/78782488 and -17/14.
551477416
What is the common denominator of 35/108498 and -19/43550?
181734150
Calculate the lowest common multiple of 22171296 and 2184.
288226848
What is the common denominator of -103/985626 and -7/612?
1971252
What is the common denominator of -1/3150 and 197/86796450?
607575150
Calculate the common denominator of 52/234323903 and -2/234323903.
234323903
What is the smallest common multiple of 45762288 and 83072?
366098304
Calculate the common denominator of 99/60710 and -163/364260.
364260
What is the least common multiple of 16262 and 2402624?
112923328
What is the common denominator of -53/5115 and -4/4692501?
23462505
Calculate the least common multiple of 6741 and 423.
316827
What is the smallest common multiple of 50293892 and 36577376?
402351136
Calculate the lowest common multiple of 1597596 and 24.
3195192
Calculate the common denominator of 52/26288773 and 15/14.
52577546
What is the common denominator of 39/2899817 and 59/9?
26098353
Calculate the smallest common multiple of 11075 and 49970400.
49970400
Calculate the common denominator of 131/5533110 and 1/3018060.
33198660
What is the lowest common multiple of 4768593 and 424719?
586536939
Calculate the least common multiple of 289633443 and 56991.
3185967873
What is the common denominator of 111/1720202 and -67/396?
30963636
What is the least common multiple of 573076 and 103390?
20057660
What is the least common multiple of 214396 and 2508272?
333600176
Calculate the common denominator of -59/55896000 and 59/657600.
55896000
Calculate the smallest common multiple of 84 and 663943.
7967316
Calculate the least common multiple of 3517243 and 12986.
302482898
Find the common denominator of -95/2247916 and 75/38418928.
422608208
Find the common denominator of 94/534885 and 137/7899840.
102697920
Calculate the least common multiple of 2200572 and 20988.
116630316
What is the smallest common multiple of 30 and 1071610482?
5358052410
Calculate the least common multiple of 65 and 166175607.
830878035
What is the least common multiple of 15213 and 1855986?
1855986
What is the common denominator of -35/5058 and -65/1602?
450162
Calculate the lowest common multiple of 368 and 504128.
11594944
Calculate the common denominator of -8/883223 and 79/384010.
8832230
What is the common denominator of 64/25207329 and -15/4?
100829316
What is the least common multiple of 55 and 1479035?
16269385
What is the common denominator of 41/17 and 10/599873?
10197841
What is the lowest common multiple of 333 and 12204117?
12204117
What is the lowest common multiple of 26760544 and 20070408?
80281632
What is the common denominator of -51/1986464 and 163/5214468?
41715744
What is the least common multiple of 48 and 2307378?
18459024
Find the common denominator of 74/20703 and 125/94654116.
94654116
Calculate the least common multiple of 394402 and 62274.
1183206
What is the common denominator of 33/5486903 and 101/184?
43895224
What is the smallest common multiple of 28 and 98027685?
392110740
What is the smallest common multiple of 1971 and 8199?
1795581
Calculate the least common multiple of 134784 and 678834.
130336128
Calculate the least common multiple of 17873 and 4343139.
4343139
What is the least common multiple of 1926155 and 1001?
25040015
Calculate the lowest common multiple of 98 and 207438.
1452066
What is the common denominator of -179/23258220 and -20/3951?
69774660
What is the common denominator of 107/822 and 95/5242716?
5242716
Calculate the lowest common multiple of 275 and 38775814.
969395350
Find the common denominator of -7/96664 and -43/7968.
96277344
What is the least common multiple of 552 and 192586452?
385172904
Find the common denominator of -155/48548022 and -65/48688.
388384176
Calculate the smallest common multiple of 397363640 and 99340910.
397363640
Calculate the common denominator of 53/6692 and 25/7392.
1766688
What is the common denominator of -71/224197350 and -79/4875?
1120986750
Calculate the least common multiple of 574120 and 4400.
63153200
Find the common denominator of -121/458328 and 21/1612.
14208168
Find the common denominator of -19/117390 and 139/1807806.
9039030
Calculate the common denominator of 47/3477414 and -17/30.
17387070
What is the smallest common multiple of 3856 and 20181822?
161454576
Find the common denominator of -17/46256013 and -107/3496.
370048104
Calculate the common denominator of -73/2218 and -62/5901.
13088418
Calculate the common denominator of 12/7781 and 12/47941.
1486171
What is the lowest common multiple of 18951828 and 497994?
1345579788
Calculate the common denominator of -59/15 and -44/34246827.
171234135
Calculate the common denominator of 113/53808 and -97/69008.
12214416
Calculate the lowest common multiple of 9642 and 16344.
26264808
Calculate the common denominator of -83/3267984 and 19/6.
3267984
Find the common denominator of 71/7542 and 71/345292872.
1035878616
What is the common denominator of 39/656684 and 65/7896?
3940104
Calculate the common denominator of -43/9282 and 59/9108.
14090076
Calculate the smallest common multiple of 3682 and 43921.
614894
Calculate the common denominator of 75/3506 and -8/3805763.
7611526
Calculate the common denominator of -39/10 and 53/42731.
427310
Calculate the smallest common multiple of 1719370 and 4298425.
8596850
What is the least common multiple of 2064 and 27?
18576
What is the common denominator of 179/2160 and 14/5583735?
89339760
What is the smallest common multiple of 17400432 and 216?
156603888
Find the common denominator of -181/17848068 and -65/15029952.
285569088
Calculate the least common multiple of 3125977 and 9.
28133793
Calculate the least common multiple of 914390 and 3660.
5486340
Find the common denominator of 26/21 and 74/24719571.
173036997
Calculate the lowest common multiple of 32538 and 47652.
23492436
Calculate the smallest common multiple of 525 and 3978240.
19891200
Calculate the least common multiple of 24 and 80073348.
160146696
What is the lowest common multiple of 116280 and 11744280?
11744280
Calculate the common denominator of -88/3603165 and 58/1902795.
169348755
Calculate the common denominator of 121/105744 and 5/5075712.
5075712
Calculate the lowest common multiple of 1276772 and 911980.
6383860
What is the common denominator of -79/104118 and -1/1301475?
2602950
What is the common denominator of -73/13212762 and -105/180574414?
541723242
What is the common denominator of -13/558250 and 31/4235?
6140750
Calculate the lowest common multiple of 3896120 and 3.
11688360
Calculate the least common multiple of 2235020 and 7599068.
37995340
Calculate the smallest common multiple of 97644 and 75546.
1229435604
Calculate the common denominator of 28/33825921 and -89/6.
67651842
Calculate the least common multiple of 4639833 and 954.
491822298
What is the lowest common multiple of 673 and 7121686?
7121686
Calculate the least common multiple of 117966517 and 3096973.
1297631687
Find the common denominator of 7/7656354 and 115/5104236.
15312708
Calculate the common denominator of 52/34227 and -77/35136.
133622208
What is the lowest common multiple of 555 and 6706575?
248143275
Calculate the smallest common multiple of 17598900 and 11732600.
35197800
What is the common denominator of -13/40027428 and -143/11436408?
80054856
Calculate the common denominator of -91/732 and -47/16280290.
97681740
What is the smallest common multiple of 1315 and 299325?
78722475
What is the lowest common multiple of 2765076 and 5530152?
5530152
Calculate the least common multiple of 20274336 and 49995.
1115088480
Calculate the common denominator of 55/4 and 9/18387904.
18387904
Calculate the smallest common multiple of 12 and 140148552.
140148552
Calculate the lowest common multiple of 9654 and 105997702.
317993106
Calculate the common denominator of -61/1156 and -83/3805756.
64697852
What is the least common multiple of 13488 and 32708400?
32708400
What is the common denominator of 115/279552 and 137/4712448?
32987136
Calculate the common denominator of -29/1438160 and -93/35440.
637104880
Calculate the lowest comm
|
{
"pile_set_name": "DM Mathematics"
}
|
- (sqrt(99) + 0) - (-3 + sqrt(176)*-2)))*1.
sqrt(11) + 8
Simplify sqrt(847) - 5*(-1*sqrt(847))**2 - (-3 + 2 + sqrt(847)) - ((sqrt(77) - (sqrt(77) + (-1*sqrt(77) - sqrt(77) - sqrt(77))))*4)/(sqrt(88)/(sqrt(8)*2)).
-4234 - 24*sqrt(7)
Simplify -4*(4*-3*(sqrt(297) + sqrt(297)*2 + sqrt(297)))/((sqrt(176) + sqrt(176) + 2*sqrt(176) + sqrt(176))*3 + sqrt(176)).
9*sqrt(3)
Simplify -4*(-6*(2 + (sqrt(539) + 2 - sqrt(11)) - ((sqrt(1100)*2 - sqrt(1100)) + -1*sqrt(275))))**2.
-3888 - 1152*sqrt(11)
Simplify 5*((-2 + sqrt(704)*-1*2 + 1*sqrt(704) + -3 + -5)*-6)**2.
28800*sqrt(11) + 144720
Simplify (3*sqrt(66)/sqrt(3) - 6*sqrt(22)*1)/(-5*sqrt(8)*2*-3) + 2.
-sqrt(11)/20 + 2
Simplify ((sqrt(3000) - (2*sqrt(3000) + sqrt(3000)))/((sqrt(96) - sqrt(96)*-1 - sqrt(96)) + sqrt(96)) - ((-3*sqrt(5))**2 + 3 - sqrt(10)/(sqrt(14)/sqrt(7))))*-5.
15*sqrt(5)/2 + 240
Simplify 4 + -2 + sqrt(1053) + sqrt(1053) + 2 - (sqrt(117) - ((-2*sqrt(117) - sqrt(117))*-2 - sqrt(117)))/(-5*-2*sqrt(9)).
4 + 92*sqrt(13)/5
Simplify ((sqrt(189)*2*-1)/((sqrt(108)/sqrt(4))/sqrt(9)))/(1*(sqrt(1296) + (sqrt(1296) - sqrt(1296)*1))*5)*-2.
sqrt(7)/15
Simplify ((-2*sqrt(360)*2 + sqrt(360))/(sqrt(40) - sqrt(160)))/(sqrt(1728)*1 + (sqrt(588)*-6 - sqrt(12)) + sqrt(12)).
-sqrt(3)/20
Simplify ((0 + sqrt(72) + (-1 + sqrt(72) - sqrt(72)) + sqrt(72))**2 + 0 - ((2*sqrt(72) + sqrt(72))*2 - (0 + -1 + sqrt(72) - sqrt(72))**2)) + -5 + 5.
-60*sqrt(2) + 290
Simplify -1*(1*(sqrt(153) + 1*sqrt(153)*2))/(((sqrt(90)*-3 - sqrt(90))*2 - sqrt(90))/sqrt(10)) + -3.
-3 + sqrt(17)/3
Simplify (-4*(3 + -1*sqrt(468) - (2*sqrt(468) + 2 + sqrt(468)))*-4*-6)**2.
-442368*sqrt(13) + 69018624
Simplify ((-5*(sqrt(171) - (-3 + -1 + sqrt(171))) + (-5*sqrt(171) + 2)*-4)*6)**2.
-120960*sqrt(19) + 2490624
Simplify (1*sqrt(3024)*3 + sqrt(3024) - sqrt(3024) - 6*(sqrt(3024)*1 - sqrt(3024)))/(-2*(sqrt(700) - (sqrt(700) + (-1*sqrt(700) - sqrt(700))))*-3).
3*sqrt(3)/10
Simplify 4*(-2 + -1 + (5*2*sqrt(80)*4)**2 + 1)*-3.
-1535976
Simplify ((sqrt(260) + (1*sqrt(260)*3 - sqrt(260)))/(sqrt(5) - sqrt(20)/sqrt(36))*-1*-3 + -1)**2.
-54*sqrt(13) + 9478
Simplify (2 + -3 + sqrt(12)/sqrt(4) + (0 + sqrt(3))*-5 + sqrt(243)*-2 + sqrt(108)/sqrt(4) + sqrt(27) + -4)**2.
160*sqrt(3) + 793
Simplify sqrt(2)*-1*4 + sqrt(98) + sqrt(98)*2 + -5 - (4*(-2*sqrt(64)/sqrt(2) + 2))**2.
-2117 + 529*sqrt(2)
Simplify (sqrt(162)/(sqrt(9) - -2*sqrt(18)/sqrt(2)))/((-2*sqrt(66)*-6)/sqrt(11))*1.
sqrt(3)/36
Simplify sqrt(833) + -4*(sqrt(833) + 2) + (-4 + sqrt(833) + -1)**2 + sqrt(170)/(sqrt(30)/sqrt(3)) + 2 + 1*sqrt(17) + 0.
-89*sqrt(17) + 852
Simplify -3*(1*-2*(sqrt(9072) + -2 + sqrt(9072)) + -1 + sqrt(9072) + -2*sqrt(9072) + sqrt(9072) + sqrt(9072) + 2 + 2)**2.
-245091 + 4536*sqrt(7)
Simplify (-2*(5*((sqrt(120) + 3*sqrt(120) - sqrt(120)) + sqrt(120) + sqrt(120)))/sqrt(6))/(-3*sqrt(4)*-6 + 6*sqrt(256)).
-25*sqrt(5)/33
Simplify -2*(sqrt(432)*2 + 0 - (-2 + sqrt(3) + 3 + 4))*4.
-184*sqrt(3) + 40
Simplify (sqrt(1215) - 1*sqrt(1215))/(sqrt(180)*3) - ((1*sqrt(108)*5 - sqrt(108) - sqrt(108)) + sqrt(108) - -2*sqrt(108)*-3)**2.
-432
Simplify -5*sqrt(153)*-5*-4 + ((sqrt(17) - (sqrt(17) + sqrt(68)/sqrt(4)*-2) - (-1*sqrt(85))/sqrt(5)) + -2)**2.
-312*sqrt(17) + 157
Simplify (5*(sqrt(320) + -1))**2*6 + ((2*sqrt(25)*-2)/(sqrt(20)/(sqrt(12)/sqrt(3))))**2.
-2400*sqrt(5) + 48230
Simplify 1*((sqrt(108)*4 - sqrt(3)) + -3 + 3 + -2 + sqrt(3) + sqrt(3) + ((sqrt(36)*-1)/sqrt(12) + sqrt(3))**2 + -3)*-1.
-25*sqrt(3) + 5
Simplify 1*(-2 + 2*(-1*sqrt(468))**2 + ((sqrt(468) - -4*(1 + sqrt(468)))**2 - (-4*(2*sqrt(468))**2 - sqrt(468)))).
246*sqrt(13) + 20138
Simplify (((sqrt(171) - -1*sqrt(171))*-5 - -4*(sqrt(171) + sqrt(171)*-1 - sqrt(171)))*-5)/(4*3*sqrt(81)/sqrt(81)).
35*sqrt(19)/2
Simplify (sqrt(891) + 0 + 1 + sqrt(891) + 4 + 2*sqrt(891) - (sqrt(121)*1*-2)/((sqrt(99)*-2 - sqrt(99))/sqrt(9) + sqrt(11)))**2.
350*sqrt(11) + 13500
Simplify (1 + (sqrt(114) - -1*sqrt(114)*4)/(sqrt(18)/(sqrt(12)/sqrt(4))))*3*6.
18 + 90*sqrt(19)
Simplify ((sqrt(190)*-4*6 - sqrt(190)) + (sqrt(190) - ((sqrt(190) - -2*sqrt(190)*-1) + sqrt(190))))/(((1*sqrt(80) + sqrt(80) - sqrt(80))*-5)/(2*-2*sqrt(8))).
-96*sqrt(19)/5
Simplify (1*sqrt(3)*4 - (sqrt(3) + sqrt(12) + 0)) + -5 - (3*-1*(-1 + sqrt(432)))**2.
-3902 + 217*sqrt(3)
Simplify -4 + -6*-5*((2 + (sqrt(1728) - (3 + sqrt(1728))))*6 + -2)**2.
1916
Simplify (2 + -1 + ((2*sqrt(500) - sqrt(500) - sqrt(500))*-2 + (sqrt(500) - (-1*2*sqrt(500) - sqrt(500))) - (-4*-1*sqrt(500) - (1 + sqrt(500) + -1))) + 1)**2.
40*sqrt(5) + 504
Simplify ((5*(sqrt(132) - (sqrt(132) + (-2*sqrt(132) - sqrt(132)))))/(1*sqrt(192)) - ((-1*sqrt(220))/sqrt(4))/(sqrt(250)/sqrt(2) + sqrt(5)))**2.
24299/144
Simplify ((sqrt(80) - (sqrt(80) + 0 + sqrt(80) - sqrt(80) - sqrt(80) - sqrt(80)))*-2 + (-5*sqrt(80))**2 + sqrt(20)/sqrt(4)*3)*6 + -4.
-78*sqrt(5) + 11996
Simplify ((2 + sqrt(1216) + sqrt(1216))*4 + 2*sqrt(171)/(sqrt(18)/sqrt(2)) + -5)**2*1 + -2.
396*sqrt(19) + 82771
Simplify ((sqrt(425) + 1)*-5 + 2)**2*-6 - ((-2*(sqrt(153) + sqrt(153)*1))/(sqrt(9) - 2*sqrt(9)*1) + 3).
-63807 - 904*sqrt(17)
Simplify 6*2*(4 + (0 + sqrt(539))**2 + (sqrt(539) + -4 + 0)**2)*1.
-672*sqrt(11) + 13176
Simplify ((-3*sqrt(315) - sqrt(315))*-3 + sqrt(315) + ((sqrt(315) + sqrt(315)*3 + sqrt(315))*4 - sqrt(315)))/(1*(sqrt(847) + sqrt(847)*2*-5)).
-32*sqrt(5)/33
Simplify (-6*(sqrt(114)*-1 + sqrt(114))*1*1)/((6*sqrt(192))/((2*sqrt(80))/sqrt(10) - sqrt(8))).
0
Simplify -1 + 6*(0 + sqrt(108) - (-2*sqrt(3) + 2) - ((sqrt(3) + 0)*1 - -1*sqrt(147))).
-13
Simplify (2*((sqrt(171) - (2 + sqrt(171)) - sqrt(171))*-3*4 - (-1 + sqrt(171) + -5 - 4*(1 + sqrt(171)))) + 3 + 0)**2.
12780*sqrt(19) + 158941
Simplify ((sqrt(2673) - (-1*sqrt(2673) + sqrt(2673) - sqrt(2673)))*2*3)/(sqrt(1100)*1*-4).
-27*sqrt(3)/10
Simplify (sqrt(192)/((sqrt(12) - (sqrt(48) + sqrt(12)))*-3)*5)/((sqrt(240)/sqrt(20))/(sqrt(24)/sqrt(4)*4)).
20*sqrt(2)/3
Simplify (4*(-2 + sqrt(117)) + sqrt(117)*-4*-6 + sqrt(117) - (0 + (sqrt(117) - (-1 + sqrt(117) + -3 + sqrt(117))) + 4))**2.
-2880*sqrt(13) + 105556
Simplify ((6*sqrt(20)/sqrt(4) - sqrt(5)) + -5)**2 + (5*(sqrt(245)*2 + sqrt(245)) - sqrt(245)) - (sqrt(15) - -1*sqrt(375))/(sqrt(12)/(sqrt(4) - sqrt(144))).
150 + 78*sqrt(5)
Simplify ((0 + -5*(-1 + sqrt(200)) + (4*(sqrt(200) + (sqrt(200) - (sqrt(200) + -1))) - sqrt(200)) + (sqrt(200) + -1 + -2 - sqrt(200)) + 3)*5)**2.
-9000*sqrt(2) + 22025
Simplify 4 + 1*(1 + -2*(sqrt(2448) - sqrt(2448)*2)*4 + (-4 + (sqrt(2448) + 1 + sqrt(2448) - sqrt(2448)) + sqrt(2448) + (1 + sqrt(2448) + sqrt(2448))*6)**2).
1104*sqrt(17) + 479822
Simplify ((4*(1*sqrt(30) + sqrt(30))*4*1)/(sqrt(294)*-4 - sqrt(432)/sqrt(8)))**2*3.
15360/961
Simplify ((sqrt(192) + sqrt(12))/sqrt(4) + -1 - -2*((sqrt(45)/sqrt(3))/sqrt(5) - sqrt(3)))**2 + -5 + (-1 + -6*sqrt(432)*2)**2.
278*sqrt(3) + 62280
Simplify 0 + 0 + sqrt(3)*-1*2 - (-3 + ((3 + sqrt(192))**2 - sqrt(192)) + -4).
-194 - 42*sqrt(3)
Simplify 2*((-5*(-4*2*sqrt(832) + sqrt(832))*6*-4)**2 + 0).
1174118400
Simplify -5*(-3*(sqrt(612) - (-1*sqrt(612) + -5 + sqrt(612)) - ((sqrt(612) - ((-1 + sqrt(612))*2 + sqrt(612))) + sqrt(612)))*3 + 0)**2.
-995085 - 29160*sqrt(17)
Simplify (1 + 1*(1 + 3 + ((sqrt(288) - (sqrt(288) + -3)) + 1 - sqrt(288))))**2.
-216*sqrt(2) + 369
Simplify (((sqrt(200) - (sqrt(200) - (1*sqrt(200) - sqrt(200)) - sqrt(200))) + sqrt(200))*-3)/((sqrt(800)/sqrt(4))/sqrt(2))*5.
-30*sqrt(2)
Simplify -4 + (-1*(sqrt(242) + (0 + sqrt(242))*2 + (sqrt(242) + 0)*-5 + 5)*-5)**2.
-5500*sqrt(2) + 24821
Simplify -6*((2*1*sqrt(136))/(sqrt(48)/(sqrt(6) + sqrt(96))))**2 + (sqrt(187)*3*-4)/(sqrt(11) - (sqrt(11) + sqrt(66)/sqrt(6))*3).
-10200 + 12*sqrt(17)/5
Simplify ((sqrt(80) - sqrt(80)*-1*1) + (sqrt(80) - 6*(sqrt(80) - sqrt(80)*-2 - sqrt(80) - sqrt(80))))/((sqrt(216)*-2)/sqrt(6) - sqrt(36)) + 3.
2*sqrt(5)/3 + 3
Simplify 2 + (-3 + sqrt(10)/((sqrt(2) - sqrt(10)/sqrt(5)) + sqrt(2)) + -3 - (-6*sqrt(100)/sqrt(2))/(sqrt(70)/(sqrt(7) + sqrt(28)))) + 0.
-4 + 19*sqrt(5)
Simplify ((-6*sqrt(204) - sqrt(204)/sqrt(4)*-5)/(-1*sqrt(363)*-6) + -4)**2.
28*sqrt(17)/33 + 70529/4356
Simplify (-3*-6*(2*sqrt(104)*-2 - sqrt(104)))/(sqrt(512) + sqrt(512)*1 - sqrt(8) - (sqrt(8) + sqrt(968)*2 + sqrt(968) - sqrt(8))).
5*sqrt(13)
Simplify ((sqrt(133)*-1*-6 - -4*(sqrt(133) + -1*sqrt(133)))*-4)/((sqrt(14) - -3*-1*sqrt(14))/(sqr
|
{
"pile_set_name": "DM Mathematics"
}
|
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